problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476 values |
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Expand the following expression: (x - 5)(x - 4)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 29*x**2 + 75*x + 100 | 144 |
Expand the following expression: (x + 5)(x - 1)(x + 3)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 2*x**3 - 78*x**2 - 63*x + 135 | 0 |
Expand the following expression: (x - 2)(x + 4)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 18*x**2 - 32*x + 96 | 50 |
Expand the following expression: (x + 4)(x + 1)(x - 1)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 10*x**3 - 40*x**2 + 9*x + 36 | 0 |
Expand the following expression: (x - 2)(x + 6)(x - 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 35*x**2 - 36*x + 180 | 112 |
Expand the following expression: (x + 2)(x - 6)(x - 1)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 + 9*x**3 + 26*x**2 - 52*x + 24 | 0 |
Expand the following expression: (x + 6)(x + 1)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 30*x**2 - 252*x - 216 | -490 |
Expand the following expression: (x + 3)(x - 5)(x - 1)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 26*x**3 - 12*x**2 + 97*x - 60 | 0 |
Expand the following expression: (x - 3)(x + 1)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**2 + 9 | 0 |
Expand the following expression: (x + 6)(x + 4)(x - 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 50*x**3 + 60*x**2 + 504*x - 864 | -350 |
Expand the following expression: (x - 6)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 16*x**2 + 68*x - 48 | 0 |
Expand the following expression: (x - 5)(x - 2)(x - 1)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 2*x**3 + 48*x**2 - 71*x + 30 | 0 |
Expand the following expression: (x + 2)(x - 2)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 19*x**2 + 8*x + 60 | 48 |
Expand the following expression: (x + 3)(x + 3)(x - 3)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 22*x**3 - 12*x**2 + 117*x + 108 | 192 |
Expand the following expression: (x + 3)(x - 6)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 11*x**2 + 33*x - 18 | 0 |
Expand the following expression: (x + 2)(x + 2)(x + 1)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 3*x**3 - 34*x**2 - 52*x - 24 | -108 |
Expand the following expression: (x - 4)(x - 2)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 8*x**2 + 84*x - 144 | -60 |
Expand the following expression: (x + 2)(x + 5)(x - 2)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 30*x**3 + 140*x**2 + 104*x - 480 | -270 |
Expand the following expression: (x + 2)(x - 4)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 12*x**2 + 44*x - 48 | 0 |
Expand the following expression: (x + 6)(x + 5)(x + 6)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 25*x**3 - 333*x**2 + 2700 | 2352 |
Expand the following expression: (x - 3)(x + 3)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**2 + 9 | 0 |
Expand the following expression: (x - 5)(x + 5)(x + 4)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 61*x**3 - 244*x**2 + 900*x + 3600 | 4200 |
Expand the following expression: (x - 4)(x - 4)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 50*x**2 - 32*x - 96 | -90 |
Expand the following expression: (x + 3)(x + 3)(x - 2)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 19*x**3 - 63*x**2 + 54*x + 216 | 192 |
Expand the following expression: (x - 3)(x - 3)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 16*x**3 + 94*x**2 - 240*x + 225 | 64 |
Expand the following expression: (x - 6)(x + 1)(x + 3)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 21*x**3 - 243*x**2 - 540*x - 324 | -1120 |
Expand the following expression: (x + 2)(x + 4)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 42*x**2 + 64*x + 32 | 150 |
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 49*x**3 + 122*x**2 + 528*x - 1440 | -840 |
Expand the following expression: (x - 1)(x + 3)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**2 + 9 | 0 |
Expand the following expression: (x + 2)(x - 5)(x - 6)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 61*x**3 - 122*x**2 + 900*x + 1800 | 2520 |
Expand the following expression: (x + 4)(x + 3)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 7*x**2 - 22*x + 24 | 0 |
Expand the following expression: (x - 6)(x - 3)(x - 3)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 39*x**3 + 162*x**2 + 108*x - 648 | -420 |
Expand the following expression: (x - 6)(x - 2)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 32*x**2 + 144*x - 144 | -35 |
Expand the following expression: (x - 3)(x - 6)(x + 2)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 46*x**3 - 132*x**2 + 360*x + 864 | 1050 |
Expand the following expression: (x + 3)(x + 6)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 27*x**2 - 216*x - 324 | -560 |
Expand the following expression: (x + 5)(x - 2)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 17*x**3 - 32*x**2 + 124*x - 80 | 0 |
Expand the following expression: (x + 5)(x - 5)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 31*x**2 - 25*x + 150 | 96 |
Expand the following expression: (x - 4)(x + 4)(x + 5)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 45*x**3 + 62*x**2 + 464*x - 480 | 0 |
Expand the following expression: (x - 5)(x + 2)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 25*x**2 + 26*x + 120 | 120 |
Expand the following expression: (x + 5)(x + 3)(x + 6)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 57*x**3 - 127*x**2 - 1170*x - 1800 | -3024 |
Expand the following expression: (x + 3)(x - 3)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 16*x**2 - 90*x - 225 | -288 |
Expand the following expression: (x + 5)(x - 5)(x - 5)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 27*x**3 + 265*x**2 - 1300*x + 1500 | 480 |
Expand the following expression: (x - 5)(x - 6)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - x**2 + 68*x + 60 | 120 |
Expand the following expression: (x + 5)(x + 4)(x + 3)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 49*x**3 - 122*x**2 + 528*x + 1440 | 1800 |
Expand the following expression: (x - 5)(x - 3)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 21*x**2 + x - 30 | -16 |
Expand the following expression: (x + 5)(x + 6)(x + 3)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 62*x**3 + 76*x**2 - 63*x - 90 | 0 |
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 31*x**2 - 94*x + 120 | 0 |
Expand the following expression: (x - 3)(x - 1)(x + 1)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 24*x**3 + 62*x**2 + 23*x - 60 | 0 |
Expand the following expression: (x - 3)(x + 3)(x - 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 6*x**2 + 36*x - 27 | 0 |
Expand the following expression: (x + 6)(x - 2)(x - 6)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 64*x**3 + 48*x**2 + 1008*x - 1728 | -735 |
Expand the following expression: (x - 6)(x + 2)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**3 + 20*x**2 + 40*x - 96 | -45 |
Expand the following expression: (x - 5)(x - 4)(x + 6)(x + 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 36*x**3 + 212*x**2 + 32*x - 960 | -756 |
Expand the following expression: (x + 2)(x + 3)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 30*x**2 - 180*x - 216 | -420 |
Expand the following expression: (x + 1)(x + 1)(x + 1)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - x**3 - 11*x**2 - 12*x - 4 | -24 |
Expand the following expression: (x + 3)(x - 5)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 19*x**2 + 8*x + 60 | 48 |
Expand the following expression: (x + 3)(x - 2)(x + 6)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 47*x**3 + 174*x**2 + 396*x - 1080 | -560 |
Expand the following expression: (x + 4)(x - 4)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 15*x**2 + 32*x - 16 | 0 |
Expand the following expression: (x + 6)(x + 2)(x - 5)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 13*x**4 + 27*x**3 - 265*x**2 - 1300*x - 1500 | -3024 |
Expand the following expression: (x + 5)(x + 5)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 - 5*x**2 - 225*x - 500 | -720 |
Expand the following expression: (x - 1)(x + 4)(x + 3)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 21*x**3 - 137*x**2 - 88*x + 240 | 0 |
Expand the following expression: (x + 6)(x - 6)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 48*x**2 + 144*x + 432 | 525 |
Expand the following expression: (x - 2)(x + 2)(x + 5)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + x**3 - 82*x**2 - 20*x + 200 | 108 |
Expand the following expression: (x + 5)(x - 6)(x + 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 28*x**2 - 188*x - 240 | -450 |
Expand the following expression: (x + 3)(x - 3)(x - 5)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 43*x**3 + 57*x**2 - 468*x + 540 | 160 |
Expand the following expression: (x + 6)(x - 1)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 31*x**2 - 94*x + 120 | 0 |
Expand the following expression: (x - 4)(x + 1)(x - 5)(x - 4)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 5*x**3 + 148*x**2 - 176*x - 320 | -360 |
Expand the following expression: (x - 1)(x + 3)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 7*x**2 - 22*x + 24 | 0 |
Expand the following expression: (x - 2)(x - 5)(x + 4)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 21*x**3 + 76*x**2 + 68*x - 240 | -120 |
Expand the following expression: (x - 5)(x + 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 27*x**2 + 189*x - 270 | -112 |
Expand the following expression: (x + 4)(x - 5)(x + 6)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 37*x**3 - 124*x**2 + 276*x + 720 | 840 |
Expand the following expression: (x - 1)(x + 1)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 4*x**2 + 2*x + 3 | 0 |
Expand the following expression: (x - 2)(x + 6)(x + 3)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 39*x**3 - 162*x**2 + 108*x + 648 | 560 |
Expand the following expression: (x + 4)(x + 1)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 13*x**2 - 64*x - 48 | -120 |
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 61*x**3 - 244*x**2 + 900*x + 3600 | 4200 |
Expand the following expression: (x - 6)(x + 5)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 - 7*x**2 + 225*x - 450 | -240 |
Expand the following expression: (x + 2)(x + 2)(x - 2)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 + 4*x**3 + 96*x**2 - 32*x - 240 | -180 |
Expand the following expression: (x + 2)(x + 3)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 3*x**2 - 45*x - 54 | -96 |
Expand the following expression: (x - 3)(x + 3)(x + 2)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 + 11*x**3 - 69*x**2 - 180*x - 108 | -336 |
Expand the following expression: (x + 6)(x - 3)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 9*x**2 - 81*x - 162 | -224 |
Expand the following expression: (x + 2)(x - 2)(x - 5)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 29*x**3 - 174*x**2 + 100*x + 600 | 504 |
Expand the following expression: (x - 3)(x - 5)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 34*x**2 + 225 | 192 |
Expand the following expression: (x + 5)(x + 6)(x + 2)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 - 5*x**3 - 330*x**2 - 1116*x - 1080 | -2520 |
Expand the following expression: (x - 6)(x + 6)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 40*x**2 + 108*x + 144 | 210 |
Expand the following expression: (x + 4)(x + 2)(x + 4)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 24*x**3 - 188*x**2 - 352*x - 192 | -750 |
Expand the following expression: (x + 5)(x + 2)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 13*x**3 + 60*x**2 + 116*x + 80 | 270 |
Expand the following expression: (x - 6)(x + 4)(x + 1)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 22*x**3 - 244*x**2 - 504*x - 288 | -1050 |
Expand the following expression: (x - 4)(x + 4)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 32*x**2 + 256 | 225 |
Expand the following expression: (x - 4)(x + 5)(x + 4)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 29*x**3 - 63*x**2 + 208*x + 240 | 360 |
Expand the following expression: (x + 6)(x - 3)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 13*x**2 - 66*x + 72 | 0 |
Expand the following expression: (x + 4)(x - 3)(x - 6)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 40*x**3 - 76*x**2 + 288*x + 576 | 750 |
Expand the following expression: (x + 3)(x - 1)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 9*x**2 + 23*x - 12 | 0 |
Expand the following expression: (x + 2)(x - 1)(x + 2)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 13*x**3 + 11*x**2 + 24*x - 20 | 0 |
Expand the following expression: (x - 5)(x - 4)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 19*x**3 + 134*x**2 - 416*x + 480 | 180 |
Expand the following expression: (x + 5)(x + 6)(x + 2)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 92*x**3 + 112*x**2 - 384*x - 720 | -882 |
Expand the following expression: (x - 4)(x - 4)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 43*x**2 - 24*x - 80 | -72 |
Expand the following expression: (x + 3)(x - 4)(x + 5)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 47*x**3 - 134*x**2 - 1008*x - 1440 | -2520 |
Expand the following expression: (x + 3)(x + 5)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 17*x**3 + 107*x**2 + 295*x + 300 | 720 |
Expand the following expression: (x - 1)(x + 2)(x + 4)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 11*x**3 - 27*x**2 + 10*x + 24 | 0 |
Expand the following expression: (x + 3)(x + 5)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 29*x**2 - 156*x - 180 | -360 |
Expand the following expression: (x + 1)(x - 1)(x + 1)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 + 13*x**3 + 33*x**2 - 14*x - 24 | 0 |
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