problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 4)(x + 6)(x - 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 20*x**2 - 60*x + 144 | 70 |
Expand the following expression: (x + 1)(x - 4)(x + 5)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 23*x**3 + 156*x**2 - 68*x - 240 | -180 |
Expand the following expression: (x + 3)(x - 4)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 5*x**2 + 45*x - 36 | 0 |
Expand the following expression: (x - 4)(x - 3)(x + 1)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 69*x**3 - 124*x**2 - 16*x + 192 | 108 |
Expand the following expression: (x + 3)(x + 5)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 23*x**2 - 34*x - 120 | -120 |
Expand the following expression: (x + 2)(x - 6)(x + 5)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 24*x**3 + 212*x**2 - 32*x - 960 | -810 |
Expand the following expression: (x + 3)(x + 4)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 5*x**2 - 45*x - 36 | -80 |
Expand the following expression: (x - 2)(x - 6)(x - 4)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 16*x**3 + 272*x**2 - 720*x + 576 | 105 |
Expand the following expression: (x + 4)(x + 2)(x - 5)(x - 3)
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 + 3)(x - 6)(x - 3)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 51*x**3 + 54*x**2 - 540*x + 648 | 200 |
Expand the following expression: (x + 5)(x - 3)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 19*x**2 - 27*x + 90 | 48 |
Expand the following expression: (x + 5)(x - 2)(x - 6)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 58*x**3 + 76*x**2 + 792*x - 1440 | -630 |
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 - 5*x**3 - 20*x**2 + 60*x + 144 | 180 |
Expand the following expression: (x - 4)(x - 5)(x + 6)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 35*x**3 + 252*x**2 - 20*x - 1200 | -1008 |
Expand the following expression: (x + 4)(x - 3)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 38*x**2 + 288 | 250 |
Expand the following expression: (x - 5)(x - 6)(x - 1)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 15*x**3 + 127*x**2 + 14*x - 120 | 0 |
Expand the following expression: (x + 6)(x + 4)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 2*x**2 - 144*x - 288 | -420 |
Expand the following expression: (x - 6)(x + 5)(x - 2)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 40*x**3 - 200*x**2 + 144*x + 720 | 630 |
Expand the following expression: (x - 1)(x - 4)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 21*x**2 - 22*x + 40 | 0 |
Expand the following expression: (x + 5)(x - 1)(x + 4)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 101*x**3 + 223*x**2 + 18*x - 360 | 0 |
Expand the following expression: (x - 6)(x + 6)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 26*x**2 - 252*x - 360 | -630 |
Expand the following expression: (x - 3)(x - 2)(x - 3)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 37*x**3 - 27*x**2 + 432*x - 540 | -168 |
Expand the following expression: (x + 4)(x - 4)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 26*x**2 - 48*x + 160 | 90 |
Expand the following expression: (x - 1)(x - 5)(x - 1)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 27*x**3 + 185*x**2 - 274*x + 120 | 0 |
Expand the following expression: (x + 1)(x - 2)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 3*x**2 + 16*x + 12 | 20 |
Expand the following expression: (x + 2)(x - 5)(x + 6)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 41*x**3 + 123*x**2 + 220*x - 300 | 0 |
Expand the following expression: (x - 6)(x - 6)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 31*x**2 + 156*x + 180 | 300 |
Expand the following expression: (x - 2)(x + 1)(x + 3)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 31*x**3 - 15*x**2 - 144*x - 108 | -224 |
Expand the following expression: (x - 6)(x + 5)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 31*x**2 + 125*x + 150 | 240 |
Expand the following expression: (x + 6)(x + 2)(x - 6)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 36*x**3 - 112*x**2 + 144 | 0 |
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 + 5)(x + 1)(x + 2)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 93*x**3 + 242*x**2 + 284*x + 120 | 756 |
Expand the following expression: (x - 1)(x - 3)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 57*x**2 - 99*x + 54 | 0 |
Expand the following expression: (x - 5)(x + 1)(x + 4)(x + 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 19*x**3 - 83*x**2 - 102*x - 40 | -240 |
Expand the following expression: (x - 1)(x + 6)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 14*x**3 + 57*x**2 + 36*x - 108 | 0 |
Expand the following expression: (x + 4)(x + 6)(x - 4)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 3*x**3 - 190*x**2 - 304*x + 480 | 0 |
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 + 1)(x - 6)(x + 5)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 39*x**3 - 92*x**2 + 188*x + 240 | 300 |
Expand the following expression: (x - 3)(x + 3)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - x**2 - 54*x - 72 | -120 |
Expand the following expression: (x + 1)(x - 1)(x + 5)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 + 2*x**3 - 16*x**2 - 3*x + 10 | 0 |
Expand the following expression: (x - 2)(x + 6)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 7*x**2 - 36*x - 36 | -56 |
Expand the following expression: (x + 3)(x + 6)(x + 3)(x - 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 9*x**3 - 99*x**2 + 324 | 224 |
Expand the following expression: (x + 6)(x + 4)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 15*x**3 + 78*x**2 + 160*x + 96 | 350 |
Expand the following expression: (x - 5)(x + 5)(x - 5)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 22*x**3 + 240*x**2 - 1175*x + 1500 | 576 |
Expand the following expression: (x + 2)(x + 4)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - 4*x**2 - 128*x - 192 | -315 |
Expand the following expression: (x + 6)(x + 3)(x - 3)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 27*x**3 - 117*x**2 + 162*x + 648 | 672 |
Expand the following expression: (x + 6)(x - 3)(x - 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 27*x**2 + 216*x - 324 | -140 |
Expand the following expression: (x + 3)(x + 3)(x + 2)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 29*x**3 - 81*x**2 + 108 | 0 |
Expand the following expression: (x + 2)(x - 6)(x - 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + 8*x**2 + 32*x - 48 | -15 |
Expand the following expression: (x - 2)(x + 5)(x - 5)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 22*x**3 + 160*x**2 - 75*x - 250 | -192 |
Expand the following expression: (x - 3)(x - 4)(x + 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 25*x**2 + 144 | 120 |
Expand the following expression: (x + 3)(x - 5)(x - 1)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 13*x**3 + 103*x**2 + 96*x - 180 | 0 |
Expand the following expression: (x + 3)(x + 3)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 3*x**2 - 63*x - 108 | -160 |
Expand the following expression: (x + 2)(x - 3)(x + 5)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 27*x**3 + 41*x**2 + 106*x - 120 | 0 |
Expand the following expression: (x + 2)(x - 4)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 12*x**2 - 64*x - 64 | -135 |
Expand the following expression: (x + 6)(x + 3)(x - 6)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 37*x**3 - 111*x**2 + 36*x + 108 | 0 |
Expand the following expression: (x + 6)(x - 3)(x - 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 27*x**2 + 81*x - 54 | 0 |
Expand the following expression: (x - 4)(x - 4)(x + 3)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 33*x**3 - 124*x**2 + 272*x + 960 | 1080 |
Expand the following expression: (x + 6)(x - 2)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 20*x**2 - 60*x + 144 | 70 |
Expand the following expression: (x - 2)(x - 3)(x + 3)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 7*x**3 + 53*x**2 - 18*x - 72 | -48 |
Expand the following expression: (x + 5)(x + 6)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 46*x**2 - 108*x + 360 | 210 |
Expand the following expression: (x + 2)(x - 3)(x + 2)(x + 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 24*x**3 + 8*x**2 + 144*x + 144 | 270 |
Expand the following expression: (x - 4)(x + 4)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 2*x**2 + 144*x - 288 | -150 |
Expand the following expression: (x + 1)(x + 1)(x + 5)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 42*x**3 + 70*x**2 + 53*x + 15 | 192 |
Expand the following expression: (x - 6)(x + 3)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 33*x**2 - 144*x - 108 | -280 |
Expand the following expression: (x + 4)(x - 4)(x + 3)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 25*x**3 + 100*x**2 + 144*x - 576 | -360 |
Expand the following expression: (x - 2)(x - 2)(x + 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 12*x**2 - 20*x + 48 | 20 |
Expand the following expression: (x + 4)(x - 3)(x - 6)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 11*x**3 + 123*x**2 - 90*x - 216 | -200 |
Expand the following expression: (x - 4)(x - 6)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 48*x**2 + 36*x + 432 | 420 |
Expand the following expression: (x + 2)(x + 6)(x - 4)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 36*x**3 - 184*x**2 + 384*x + 1152 | 1323 |
Expand the following expression: (x - 4)(x - 1)(x + 4)(x + 2)
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 - 3)(x + 1)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 10*x**3 + 10*x**2 + 9*x - 9 | 0 |
Expand the following expression: (x + 6)(x + 4)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 14*x**2 - 176*x - 480 | -630 |
Expand the following expression: (x + 5)(x - 5)(x - 3)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 37*x**3 - 161*x**2 + 300*x + 900 | 1008 |
Expand the following expression: (x - 2)(x + 4)(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 | 30 |
Expand the following expression: (x + 2)(x + 3)(x - 5)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 34*x**3 - 68*x**2 + 225*x + 450 | 576 |
Expand the following expression: (x + 2)(x + 5)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 13*x**3 + 61*x**2 + 123*x + 90 | 288 |
Expand the following expression: (x - 3)(x + 1)(x - 3)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 6*x**3 + 54*x**2 - 27*x - 81 | -64 |
Expand the following expression: (x - 3)(x + 4)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 5*x**2 - 74*x - 120 | -180 |
Expand the following expression: (x + 1)(x - 4)(x - 6)(x + 4)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 42*x**3 - 8*x**2 + 416*x + 384 | 750 |
Expand the following expression: (x + 6)(x + 5)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 31*x**2 - 125*x + 150 | 0 |
Expand the following expression: (x + 5)(x - 3)(x + 3)(x + 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 26*x**3 - 74*x**2 - 315*x - 225 | -576 |
Expand the following expression: (x - 5)(x + 6)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 21*x**2 + 288*x - 540 | -280 |
Expand the following expression: (x + 5)(x - 5)(x - 3)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 46*x**3 - 32*x**2 + 525*x - 450 | 0 |
Expand the following expression: (x - 1)(x - 5)(x + 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 25*x**2 - 37*x + 60 | 0 |
Expand the following expression: (x - 1)(x + 3)(x + 4)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 + 9*x**3 - 19*x**2 - 22*x + 24 | 0 |
Expand the following expression: (x - 5)(x + 4)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 28*x**2 + 204*x - 720 | -500 |
Expand the following expression: (x + 3)(x - 5)(x - 5)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 36*x**3 + 130*x**2 + 275*x - 750 | -384 |
Expand the following expression: (x + 1)(x + 6)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 17*x**2 - 52*x - 60 | -84 |
Expand the following expression: (x - 5)(x + 1)(x - 4)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 33*x**3 + 160*x**2 - 52*x - 240 | -168 |
Expand the following expression: (x + 4)(x + 6)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 4*x**2 - 52*x + 48 | 0 |
Expand the following expression: (x - 2)(x + 4)(x + 2)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 + 10*x**3 - 60*x**2 - 56*x + 96 | 0 |
Expand the following expression: (x + 5)(x + 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 19*x**2 - 84*x + 180 | 84 |
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 + 7*x**4 - 5*x**3 - 75*x**2 - 36*x + 108 | 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 + 7*x**3 - 16*x**2 - 172*x - 240 | -420 |
Expand the following expression: (x + 2)(x - 2)(x + 4)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 43*x**3 + 12*x**2 - 188*x - 240 | -360 |
Expand the following expression: (x + 3)(x + 5)(x - 6)(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 | -480 |
Expand the following expression: (x - 4)(x - 5)(x - 2)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 11*x**3 + 84*x**2 + 28*x - 240 | -144 |
Expand the following expression: (x + 5)(x - 5)(x + 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 31*x**2 + 125*x + 150 | 240 |
Expand the following expression: (x + 3)(x - 3)(x + 6)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 75*x**3 - 756*x - 1296 | -1960 |
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