problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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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 + x**3 - 13*x**2 - 25*x - 12 | -48 |
Expand the following expression: (x + 4)(x - 4)(x + 4)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 23*x**3 - 156*x**2 + 112*x + 960 | 900 |
Expand the following expression: (x - 1)(x + 1)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 19*x**2 + 3*x + 18 | 0 |
Expand the following expression: (x + 2)(x - 6)(x - 2)(x - 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 40*x**3 + 120*x**2 + 144*x - 432 | -210 |
Expand the following expression: (x + 1)(x + 5)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 33*x**2 + 44*x + 20 | 108 |
Expand the following expression: (x - 2)(x - 3)(x + 4)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 15*x**3 - 50*x**2 + 64*x + 96 | 100 |
Expand the following expression: (x - 5)(x + 3)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 22*x**2 - 24*x + 45 | 0 |
Expand the following expression: (x + 4)(x + 1)(x - 2)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 41*x**3 - 2*x**2 - 192*x - 160 | -300 |
Expand the following expression: (x + 4)(x - 4)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 28*x**2 + 16*x + 192 | 180 |
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 + 2*x**4 - 24*x**3 - 22*x**2 + 103*x - 60 | 0 |
Expand the following expression: (x - 2)(x + 6)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 21*x**2 - 36*x - 108 | -112 |
Expand the following expression: (x + 2)(x - 4)(x - 4)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 9*x**3 + 86*x**2 - 288 | -216 |
Expand the following expression: (x - 3)(x + 4)(x + 1)(x + 3)
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 - 3)(x - 4)(x - 3)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 38*x**3 + 48*x**2 - 423*x + 540 | 192 |
Expand the following expression: (x + 2)(x + 2)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 7*x**2 - 20*x - 12 | -36 |
Expand the following expression: (x + 4)(x - 4)(x - 6)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 68*x**3 + 112*x**2 - 1344*x + 2304 | 1125 |
Expand the following expression: (x - 1)(x + 4)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 29*x**2 - 75*x + 100 | 0 |
Expand the following expression: (x + 4)(x - 6)(x - 6)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + x**3 + 192*x**2 - 252*x - 432 | -500 |
Expand the following expression: (x - 2)(x + 4)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 11*x**2 + 66*x - 72 | -20 |
Expand the following expression: (x - 5)(x - 2)(x + 5)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 21*x**3 - 248*x**2 - 100*x + 1200 | 840 |
Expand the following expression: (x + 5)(x - 5)(x + 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 33*x**2 + 50*x + 200 | 216 |
Expand the following expression: (x - 3)(x + 1)(x - 1)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 10*x**3 - 50*x**2 + 9*x + 45 | 0 |
Expand the following expression: (x - 6)(x - 2)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 74*x**2 - 132*x + 72 | 0 |
Expand the following expression: (x + 5)(x + 2)(x + 3)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 85*x**3 + 225*x**2 + 274*x + 120 | 720 |
Expand the following expression: (x - 6)(x + 1)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 31*x**2 - 216*x - 180 | -420 |
Expand the following expression: (x - 3)(x + 4)(x - 2)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 15*x**3 + 25*x**2 + 14*x - 24 | 0 |
Expand the following expression: (x + 6)(x + 1)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 15*x**3 + 77*x**2 + 153*x + 90 | 336 |
Expand the following expression: (x - 3)(x + 6)(x - 2)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 13*x**3 + 272*x**2 - 804*x + 720 | 168 |
Expand the following expression: (x - 1)(x - 3)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 + 11*x**2 + 7*x - 12 | 0 |
Expand the following expression: (x - 6)(x - 2)(x - 1)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 39*x**3 - 61*x**2 + 44*x - 12 | 0 |
Expand the following expression: (x + 1)(x - 1)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 9*x**2 - 7*x - 10 | 0 |
Expand the following expression: (x + 1)(x + 4)(x + 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 23*x**3 - 81*x**2 + 162*x + 216 | 280 |
Expand the following expression: (x - 2)(x + 4)(x - 2)(x + 3)
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 + 3)(x + 2)(x + 2)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 57*x**3 + 134*x**2 + 156*x + 72 | 432 |
Expand the following expression: (x - 6)(x + 6)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 60*x**2 + 72*x + 864 | 875 |
Expand the following expression: (x - 3)(x + 1)(x - 3)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**3 - 6*x**2 + 63*x + 54 | 96 |
Expand the following expression: (x + 5)(x + 2)(x + 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + x**2 - 63*x - 90 | -144 |
Expand the following expression: (x - 4)(x + 1)(x + 6)(x - 5)(x + 4)
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 | 840 |
Expand the following expression: (x - 6)(x - 5)(x - 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 77*x**2 - 153*x + 90 | 0 |
Expand the following expression: (x - 4)(x - 4)(x + 4)(x - 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 41*x**3 + 164*x**2 + 400*x - 1600 | -1080 |
Expand the following expression: (x + 5)(x + 2)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 15*x**3 + 81*x**2 + 185*x + 150 | 432 |
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 + 5*x**4 - 36*x**3 - 148*x**2 + 352*x + 960 | 1134 |
Expand the following expression: (x - 2)(x - 1)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 28*x**2 + 76*x - 48 | 0 |
Expand the following expression: (x - 3)(x + 1)(x + 3)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 18*x**3 - 72*x**2 - 243*x - 162 | -448 |
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 + 8*x**3 - 128*x - 256 | -375 |
Expand the following expression: (x + 4)(x - 1)(x + 5)(x - 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 17*x**3 - 131*x**2 - 258*x + 360 | 0 |
Expand the following expression: (x + 3)(x - 5)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 37*x**2 + 25*x + 300 | 288 |
Expand the following expression: (x - 4)(x + 4)(x + 1)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 52*x**3 - 52*x**2 + 576*x + 576 | 1050 |
Expand the following expression: (x + 4)(x + 5)(x + 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - 19*x**2 - 290*x - 600 | -900 |
Expand the following expression: (x + 5)(x + 6)(x - 3)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 10*x**3 - 120*x**2 - 171*x + 270 | 0 |
Expand the following expression: (x - 2)(x + 2)(x - 6)(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 + 5)(x + 1)(x + 3)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 18*x**4 + 124*x**3 + 402*x**2 + 595*x + 300 | 1440 |
Expand the following expression: (x - 4)(x - 2)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 16*x**2 + 36*x - 80 | -36 |
Expand the following expression: (x + 4)(x - 3)(x + 5)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 33*x**3 - x**2 + 272*x - 240 | 0 |
Expand the following expression: (x + 1)(x + 5)(x - 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 31*x**2 + 63*x + 90 | 120 |
Expand the following expression: (x + 5)(x + 2)(x + 4)(x + 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 23*x**4 + 206*x**3 + 892*x**2 + 1848*x + 1440 | 4410 |
Expand the following expression: (x - 4)(x + 5)(x + 2)(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 | -108 |
Expand the following expression: (x + 3)(x - 2)(x + 4)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 9*x**3 - 50*x**2 - 64*x + 96 | 0 |
Expand the following expression: (x - 6)(x + 4)(x - 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 28*x**2 + 64*x + 192 | 225 |
Expand the following expression: (x + 4)(x - 4)(x - 3)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 34*x**3 + 152*x**2 + 288*x - 1152 | -750 |
Expand the following expression: (x - 4)(x - 5)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 28*x**2 + 188*x - 240 | -84 |
Expand the following expression: (x - 2)(x - 4)(x - 5)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 13*x**3 + 106*x**2 - 48*x - 160 | -120 |
Expand the following expression: (x + 5)(x - 5)(x + 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 33*x**2 - 50*x + 200 | 120 |
Expand the following expression: (x - 6)(x + 4)(x + 1)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 33*x**3 - 98*x**2 + 32*x + 96 | 0 |
Expand the following expression: (x - 3)(x - 3)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 7*x**2 + 96*x - 144 | -60 |
Expand the following expression: (x + 1)(x + 6)(x - 3)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 7*x**3 - 79*x**2 + 6*x + 72 | 0 |
Expand the following expression: (x + 1)(x + 3)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 19*x**2 + 3*x + 18 | 0 |
Expand the following expression: (x + 6)(x - 6)(x + 1)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 13*x**3 - 309*x**2 - 828*x - 540 | -1680 |
Expand the following expression: (x - 2)(x + 3)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - x**2 + 54*x - 72 | -24 |
Expand the following expression: (x - 1)(x + 2)(x - 2)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 15*x**3 - 10*x**2 + 44*x - 24 | 0 |
Expand the following expression: (x - 4)(x + 1)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 13*x**2 + 40*x + 48 | 72 |
Expand the following expression: (x - 6)(x + 2)(x - 1)(x + 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 3*x**3 + 86*x**2 + 44*x - 120 | 0 |
Expand the following expression: (x + 3)(x + 5)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 25*x**2 - 222*x - 360 | -600 |
Expand the following expression: (x - 5)(x + 1)(x - 6)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 32*x**3 + 54*x**2 + 351*x + 270 | 640 |
Expand the following expression: (x - 5)(x + 3)(x + 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 39*x**2 - 9*x + 270 | 224 |
Expand the following expression: (x - 4)(x - 2)(x - 2)(x - 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 28*x**3 + 8*x**2 - 128*x + 128 | 27 |
Expand the following expression: (x + 1)(x - 4)(x - 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 31*x**2 + 94*x + 120 | 180 |
Expand the following expression: (x + 1)(x - 5)(x + 5)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 42*x**3 + 10*x**2 + 425*x + 375 | 768 |
Expand the following expression: (x + 2)(x + 5)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 11*x**2 - 32*x - 60 | -72 |
Expand the following expression: (x + 5)(x - 6)(x - 4)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 29*x**3 + 288*x**2 + 108*x - 2160 | -1800 |
Expand the following expression: (x - 3)(x + 6)(x + 1)(x - 2)
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 - 1)(x - 2)(x + 3)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - x**3 + 41*x**2 - 72*x + 36 | 0 |
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 - 1)(x + 6)(x + 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 25*x**3 - 125*x**2 - 36*x + 180 | 0 |
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 - 8*x**3 + 18*x**2 - 16*x + 5 | 0 |
Expand the following expression: (x + 1)(x - 4)(x + 5)(x + 3)(x + 5)
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 + 1)(x + 2)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 29*x**2 + 32*x + 12 | 84 |
Expand the following expression: (x - 6)(x + 2)(x + 4)(x + 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 36*x**3 - 104*x**2 + 128*x + 384 | 375 |
Expand the following expression: (x - 5)(x - 1)(x - 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 20*x**2 + 150*x - 125 | 0 |
Expand the following expression: (x - 3)(x + 2)(x + 1)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 + 5*x**3 + 50*x**2 - 36*x - 72 | -60 |
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 - 8*x**3 + 11*x**2 + 8*x - 12 | 0 |
Expand the following expression: (x - 3)(x - 1)(x + 3)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 25*x**3 + 75*x**2 - 306*x + 216 | 0 |
Expand the following expression: (x - 5)(x + 5)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 37*x**2 - 100*x + 300 | 168 |
Expand the following expression: (x - 3)(x - 1)(x + 1)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 32*x**3 - 26*x**2 - 33*x + 36 | 0 |
Expand the following expression: (x - 5)(x + 1)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 12*x**2 + 70*x + 75 | 128 |
Expand the following expression: (x - 3)(x + 6)(x + 2)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 36*x**3 + 140*x**2 + 96*x - 576 | -378 |
Expand the following expression: (x - 1)(x - 2)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 + 5*x**2 + 5*x - 6 | 0 |
Expand the following expression: (x + 1)(x + 1)(x - 5)(x - 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 36*x**3 + 22*x**2 + 147*x + 90 | 224 |
Expand the following expression: (x - 4)(x - 6)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 28*x**2 + 36*x - 144 | -90 |
Expand the following expression: (x - 3)(x - 5)(x + 4)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 33*x**3 - 173*x**2 + 200*x + 1200 | 1200 |
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