problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 4)(x - 1)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 19*x**2 - 9*x - 20 | 0 |
Expand the following expression: (x + 5)(x + 3)(x - 3)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 45*x**3 - 225*x**2 + 324*x + 1620 | 1680 |
Expand the following expression: (x + 4)(x - 1)(x - 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 15*x**2 + 58*x - 40 | 0 |
Expand the following expression: (x - 2)(x - 4)(x - 2)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 76*x**3 - 200*x**2 + 256*x - 128 | -9 |
Expand the following expression: (x - 3)(x - 5)(x + 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 9*x**2 + 94*x - 120 | -40 |
Expand the following expression: (x - 5)(x - 2)(x - 3)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 15*x**4 + 75*x**3 - 125*x**2 - 36*x + 180 | 80 |
Expand the following expression: (x - 2)(x - 1)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 11*x**2 - 3*x + 10 | 0 |
Expand the following expression: (x - 3)(x - 4)(x - 6)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 31*x**3 + 228*x**2 - 180*x - 432 | -420 |
Expand the following expression: (x + 3)(x + 4)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 35*x**2 + 50*x + 24 | 120 |
Expand the following expression: (x - 2)(x + 6)(x + 4)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 70*x**3 + 60*x**2 - 296*x - 480 | -630 |
Expand the following expression: (x + 4)(x - 3)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 21*x**2 + 43*x + 60 | 80 |
Expand the following expression: (x + 5)(x + 5)(x + 6)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 9*x**3 - 211*x**2 - 410*x + 600 | 0 |
Expand the following expression: (x - 6)(x - 1)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 39*x**2 - 115*x + 150 | 0 |
Expand the following expression: (x - 4)(x + 2)(x + 1)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 9*x**3 - 148*x**2 - 388*x - 240 | -756 |
Expand the following expression: (x - 5)(x - 5)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 17*x**3 + 101*x**2 - 235*x + 150 | 0 |
Expand the following expression: (x - 5)(x - 1)(x - 6)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 84*x**3 - 134*x**2 - 85*x + 150 | 0 |
Expand the following expression: (x + 5)(x + 3)(x - 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 9*x**2 - 94*x - 120 | -216 |
Expand the following expression: (x + 4)(x + 6)(x - 5)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 19*x**3 - 187*x**2 - 162*x + 360 | 0 |
Expand the following expression: (x + 3)(x - 1)(x - 3)(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 - 2)(x + 4)(x - 1)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 23*x**3 + 28*x**2 + 76*x - 80 | 0 |
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 - 12*x**3 + 32*x**2 + 48*x - 144 | -75 |
Expand the following expression: (x - 6)(x + 1)(x + 5)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 - 7*x**3 - 340*x**2 - 1044*x - 720 | -2100 |
Expand the following expression: (x + 4)(x - 3)(x - 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 13*x**2 + 51*x - 36 | 0 |
Expand the following expression: (x + 1)(x + 1)(x + 3)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 18*x**3 + 4*x**2 - 19*x - 12 | 0 |
Expand the following expression: (x + 3)(x + 4)(x + 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 28*x**2 - 132*x - 144 | -300 |
Expand the following expression: (x + 5)(x + 3)(x + 5)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 12*x**3 - 142*x**2 - 445*x - 300 | -864 |
Expand the following expression: (x + 6)(x - 2)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 40*x**2 + 144 | 105 |
Expand the following expression: (x + 3)(x - 2)(x - 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 19*x**3 + 66*x**2 - 252*x + 216 | 40 |
Expand the following expression: (x + 5)(x + 4)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 49*x**2 + 50*x + 600 | 600 |
Expand the following expression: (x - 4)(x + 6)(x + 1)(x + 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 11*x**3 - 142*x**2 - 432*x - 288 | -840 |
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 - 3)(x + 4)(x - 1)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 19*x**3 - x**2 + 90*x - 72 | 0 |
Expand the following expression: (x + 6)(x - 3)(x - 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 23*x**2 + 12*x + 36 | 28 |
Expand the following expression: (x - 4)(x + 2)(x + 4)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 8*x**3 + 204*x**2 - 128*x - 960 | -900 |
Expand the following expression: (x + 1)(x + 4)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 13*x**2 - x + 12 | 0 |
Expand the following expression: (x - 4)(x + 5)(x + 1)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 47*x**3 - 30*x**2 + 496*x + 480 | 900 |
Expand the following expression: (x - 5)(x - 2)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 15*x**2 + 58*x - 40 | 0 |
Expand the following expression: (x - 4)(x + 5)(x + 5)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 31*x**3 - 196*x**2 + 240*x + 1600 | 1620 |
Expand the following expression: (x + 4)(x - 1)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 28*x**2 - 20*x + 48 | 0 |
Expand the following expression: (x - 6)(x - 6)(x + 3)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 39*x**3 + 54*x**2 + 540*x + 648 | 1200 |
Expand the following expression: (x + 2)(x - 3)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 7*x**2 - 48*x - 36 | -84 |
Expand the following expression: (x + 4)(x - 6)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 36*x**3 + 4*x**2 + 224*x - 192 | 0 |
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 + 3*x**3 - 27*x**2 - 27*x + 162 | 112 |
Expand the following expression: (x - 2)(x + 6)(x - 3)(x + 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 53*x**3 - 18*x**2 + 756*x - 1080 | -392 |
Expand the following expression: (x + 4)(x - 2)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 3*x**2 + 130*x - 200 | -80 |
Expand the following expression: (x - 3)(x - 4)(x + 6)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 11*x**3 + 270*x**2 - 864*x + 864 | 252 |
Expand the following expression: (x - 4)(x - 4)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 + 6*x**2 + 32*x - 32 | 0 |
Expand the following expression: (x - 3)(x + 3)(x - 2)(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 - 99*x + 54 | 0 |
Expand the following expression: (x + 4)(x + 2)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 18*x**2 - 16*x + 32 | 0 |
Expand the following expression: (x + 1)(x + 1)(x + 4)(x + 5)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 5*x**3 - 107*x**2 - 176*x - 80 | -360 |
Expand the following expression: (x - 2)(x - 5)(x + 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 15*x**2 + 19*x + 30 | 32 |
Expand the following expression: (x + 2)(x + 5)(x - 1)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 25*x**3 - 79*x**2 + 100 | 0 |
Expand the following expression: (x - 2)(x + 6)(x + 5)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 28*x**2 - 92*x + 240 | 126 |
Expand the following expression: (x - 5)(x + 1)(x - 3)(x + 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 30*x**3 + 232*x**2 - 195*x - 450 | -448 |
Expand the following expression: (x - 1)(x + 1)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 7*x**2 - 5*x + 6 | 0 |
Expand the following expression: (x - 2)(x + 2)(x + 1)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 + 7*x**3 - 18*x**2 - 44*x - 24 | -72 |
Expand the following expression: (x + 4)(x + 3)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 7*x**2 - 72*x - 144 | -200 |
Expand the following expression: (x - 2)(x + 2)(x + 6)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 40*x**3 + 160*x**2 + 144*x - 576 | -315 |
Expand the following expression: (x - 2)(x - 5)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 78*x**2 - 164*x + 120 | 20 |
Expand the following expression: (x + 3)(x - 4)(x + 3)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 18*x**3 + 72*x**2 + 81*x - 324 | -192 |
Expand the following expression: (x - 5)(x + 2)(x + 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 15*x**2 - 23*x - 10 | -48 |
Expand the following expression: (x + 3)(x - 2)(x + 4)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 19*x**3 - 82*x**2 + 48*x + 288 | 240 |
Expand the following expression: (x - 2)(x + 1)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 3*x**2 + 7*x + 6 | 8 |
Expand the following expression: (x + 4)(x - 6)(x - 1)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 31*x**3 - 197*x**2 - 138*x + 360 | 0 |
Expand the following expression: (x + 6)(x - 6)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 28*x**2 + 216*x - 288 | -105 |
Expand the following expression: (x - 1)(x + 4)(x - 4)(x - 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 11*x**3 + 142*x**2 - 432*x + 288 | 0 |
Expand the following expression: (x + 1)(x - 5)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 7*x**2 + 29*x + 30 | 48 |
Expand the following expression: (x + 3)(x - 6)(x - 1)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 21*x**3 + 135*x**2 + 216*x - 324 | 0 |
Expand the following expression: (x - 3)(x - 3)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 50*x**2 - 84*x + 45 | 0 |
Expand the following expression: (x - 3)(x - 6)(x + 6)(x + 4)(x + 2)
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 + 2)(x + 6)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 11*x**2 - 8*x - 12 | 0 |
Expand the following expression: (x + 5)(x + 6)(x + 4)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 7*x**3 - 189*x**2 - 54*x + 1080 | 840 |
Expand the following expression: (x + 2)(x + 6)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 17*x**3 + 102*x**2 + 252*x + 216 | 588 |
Expand the following expression: (x + 5)(x + 4)(x - 6)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 34*x**3 - 292*x**2 - 72*x + 1440 | 1050 |
Expand the following expression: (x + 2)(x - 1)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 10*x**2 - 20*x + 24 | 0 |
Expand the following expression: (x - 4)(x + 4)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 26*x**3 - 8*x**2 + 160*x - 128 | 0 |
Expand the following expression: (x - 1)(x - 4)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 22*x**2 - 80*x + 96 | 0 |
Expand the following expression: (x + 4)(x - 2)(x + 1)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 3*x**3 - 29*x**2 + 2*x + 24 | 0 |
Expand the following expression: (x - 1)(x + 5)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 3*x**2 - 31*x + 20 | 0 |
Expand the following expression: (x + 4)(x + 4)(x - 1)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 103*x**3 + 239*x**2 + 40*x - 400 | 0 |
Expand the following expression: (x + 4)(x - 4)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 6*x**2 - 112*x - 160 | -270 |
Expand the following expression: (x + 6)(x - 3)(x + 3)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 45*x**3 + 270*x**2 + 324*x - 1944 | -1400 |
Expand the following expression: (x + 4)(x + 3)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 13*x**3 + 59*x**2 + 107*x + 60 | 240 |
Expand the following expression: (x + 6)(x - 6)(x + 4)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 40*x**3 - 160*x**2 + 144*x + 576 | 525 |
Expand the following expression: (x + 1)(x + 3)(x + 3)(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 | -64 |
Expand the following expression: (x + 5)(x + 3)(x + 5)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 18*x**3 - 64*x**2 - 115*x + 150 | 0 |
Expand the following expression: (x + 1)(x - 6)(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 - 4)(x - 4)(x + 6)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 40*x**3 - 140*x**2 + 480*x + 576 | 882 |
Expand the following expression: (x + 3)(x + 6)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 38*x**2 + 288 | 252 |
Expand the following expression: (x - 2)(x - 4)(x + 5)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 11*x**3 + 144*x**2 - 332*x + 240 | 36 |
Expand the following expression: (x + 1)(x + 1)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 + 4*x**2 - 6*x - 5 | 0 |
Expand the following expression: (x - 5)(x + 5)(x - 4)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 41*x**3 - 82*x**2 + 400*x + 800 | 1080 |
Expand the following expression: (x - 6)(x - 3)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 17*x**2 + 9*x - 18 | 0 |
Expand the following expression: (x - 5)(x + 5)(x - 3)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 26*x**3 + 78*x**2 + 25*x - 75 | 0 |
Expand the following expression: (x - 5)(x - 5)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 68*x**2 - 130*x + 75 | 0 |
Expand the following expression: (x - 5)(x - 6)(x + 2)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 17*x**4 + 95*x**3 - 139*x**2 - 360*x + 900 | 480 |
Expand the following expression: (x + 2)(x - 2)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + x**2 + 24*x - 20 | 0 |
Expand the following expression: (x + 1)(x + 5)(x + 2)(x + 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 25*x**3 - 20*x**2 - 116*x - 80 | -180 |
Expand the following expression: (x + 3)(x + 2)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 7*x**2 - 27*x - 18 | -48 |
Expand the following expression: (x + 2)(x - 1)(x + 3)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 65*x**3 + 100*x**2 - 36*x - 144 | 0 |
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