problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 1)(x - 4)(x + 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 13*x**2 + 27*x + 36 | 48 |
Expand the following expression: (x + 2)(x - 1)(x + 1)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 2*x**3 + 36*x**2 + x - 30 | 0 |
Expand the following expression: (x - 4)(x + 6)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 31*x**2 + 154*x - 120 | 0 |
Expand the following expression: (x + 4)(x - 6)(x + 1)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 23*x**3 - 189*x**2 - 378*x - 216 | -800 |
Expand the following expression: (x - 6)(x + 5)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 4*x**2 + 276*x - 720 | -450 |
Expand the following expression: (x - 6)(x + 4)(x + 3)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 16*x**3 + 252*x**2 - 1728 | -1500 |
Expand the following expression: (x + 6)(x - 2)(x + 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 38*x**2 + 36*x + 72 | 70 |
Expand the following expression: (x + 2)(x + 4)(x + 4)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 13*x**4 + 52*x**3 + 28*x**2 - 224*x - 320 | -450 |
Expand the following expression: (x + 3)(x - 2)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 11*x**2 - 12*x + 36 | 16 |
Expand the following expression: (x + 6)(x + 6)(x + 1)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 44*x**3 - 192*x**2 + 288*x + 432 | 490 |
Expand the following expression: (x - 4)(x + 6)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 12*x**2 - 88*x - 96 | -189 |
Expand the following expression: (x - 5)(x + 2)(x - 1)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 33*x**3 + 11*x**2 - 154*x + 120 | 0 |
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 - 9*x**3 + 27*x**2 - 31*x + 12 | 0 |
Expand the following expression: (x + 6)(x - 2)(x - 6)(x + 4)(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 + 2)(x + 4)(x + 3)(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 - 2)(x + 2)(x + 1)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 + 5*x**3 - 20*x**2 - 36*x - 16 | -60 |
Expand the following expression: (x + 2)(x - 4)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**2 - 10*x + 24 | 0 |
Expand the following expression: (x - 1)(x + 5)(x - 4)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 27*x**3 - 85*x**2 + 226*x - 120 | 0 |
Expand the following expression: (x + 5)(x + 2)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 6*x**2 - 28*x - 40 | -54 |
Expand the following expression: (x - 5)(x + 5)(x + 2)(x - 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 37*x**3 - 16*x**2 + 300*x + 400 | 648 |
Expand the following expression: (x - 5)(x - 6)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 18*x**3 + 113*x**2 - 276*x + 180 | 0 |
Expand the following expression: (x - 6)(x + 6)(x + 4)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 43*x**3 - 276*x**2 + 252*x + 2160 | 2100 |
Expand the following expression: (x - 5)(x - 1)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 69*x**2 - 136*x + 80 | 0 |
Expand the following expression: (x - 3)(x + 4)(x + 6)(x - 5)(x + 2)
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 - 3)(x - 2)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 58*x**2 - 108*x + 72 | 10 |
Expand the following expression: (x + 5)(x - 6)(x - 3)(x + 1)(x - 4)
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 | -360 |
Expand the following expression: (x + 1)(x + 6)(x - 6)(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 + 6)(x - 1)(x + 6)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 29*x**3 - 78*x**2 - 180*x + 216 | 0 |
Expand the following expression: (x + 5)(x + 5)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 13*x**2 - 45*x - 50 | -72 |
Expand the following expression: (x - 6)(x + 2)(x + 3)(x - 1)(x + 3)
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 + 5)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 26*x**2 - 44*x - 120 | -126 |
Expand the following expression: (x + 2)(x + 3)(x - 6)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 15*x**3 + 80*x**2 + 84*x - 144 | 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 - 24*x**2 - 64*x - 48 | -135 |
Expand the following expression: (x - 1)(x - 1)(x + 2)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 27*x**3 - 31*x**2 - 68*x + 60 | 0 |
Expand the following expression: (x + 3)(x - 5)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 26*x**2 + 60*x + 225 | 256 |
Expand the following expression: (x + 3)(x + 3)(x + 1)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 16*x**3 - 106*x**2 - 177*x - 90 | -384 |
Expand the following expression: (x - 1)(x - 2)(x - 6)(x - 6)
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 - 2)(x - 1)(x + 2)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 5*x**3 - 25*x**2 + 4*x + 20 | 0 |
Expand the following expression: (x - 5)(x + 6)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 31*x**2 + 154*x - 120 | 0 |
Expand the following expression: (x - 1)(x + 2)(x - 5)(x + 3)(x - 6)
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 - 4)(x - 2)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 25*x**2 - 26*x + 120 | 72 |
Expand the following expression: (x - 3)(x + 3)(x - 2)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 7*x**3 - 103*x**2 - 18*x + 360 | 240 |
Expand the following expression: (x + 1)(x - 4)(x + 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 31*x**2 + 42*x + 72 | 84 |
Expand the following expression: (x - 5)(x - 6)(x + 5)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 25*x**3 + 211*x**2 - 900 | -720 |
Expand the following expression: (x + 6)(x - 2)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - x**2 - 68*x + 60 | 0 |
Expand the following expression: (x - 2)(x + 6)(x - 3)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 25*x**3 - 90*x**2 + 324*x - 216 | 0 |
Expand the following expression: (x - 5)(x + 4)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 3*x**2 + 145*x - 300 | -160 |
Expand the following expression: (x + 2)(x - 6)(x + 3)(x + 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 31*x**3 + 46*x**2 + 348*x + 360 | 720 |
Expand the following expression: (x + 6)(x - 5)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 46*x**2 + 108*x + 360 | 420 |
Expand the following expression: (x - 2)(x - 1)(x - 4)(x - 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 55*x**3 - 120*x**2 + 124*x - 48 | 0 |
Expand the following expression: (x + 1)(x - 4)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 + 3*x**2 + 31*x + 20 | 48 |
Expand the following expression: (x + 6)(x + 2)(x + 4)(x - 1)(x - 2)
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 - 5)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 61*x**2 + 900 | 840 |
Expand the following expression: (x + 5)(x - 1)(x - 6)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 43*x**3 + 25*x**2 + 378*x - 360 | 0 |
Expand the following expression: (x + 1)(x + 6)(x - 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 3*x**2 - 20*x - 12 | -28 |
Expand the following expression: (x - 6)(x + 3)(x + 4)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 4*x**3 - 348*x**2 - 1440*x - 1728 | -3500 |
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 + 8*x**3 + 7*x**2 - 36*x - 36 | -56 |
Expand the following expression: (x - 3)(x + 6)(x - 3)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 42*x**3 + 513*x - 810 | -336 |
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 - 10*x**3 + 27*x**2 - 2*x - 40 | -24 |
Expand the following expression: (x + 2)(x - 5)(x + 6)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 33*x**3 + 295*x**2 - 100*x - 1500 | -1344 |
Expand the following expression: (x + 5)(x + 4)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 18*x**3 + 119*x**2 + 342*x + 360 | 840 |
Expand the following expression: (x - 4)(x + 2)(x - 3)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 + 5*x**3 + 43*x**2 - 42*x - 72 | -72 |
Expand the following expression: (x - 5)(x + 6)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - 17*x**2 - 204*x - 180 | -392 |
Expand the following expression: (x + 2)(x - 3)(x + 2)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 25*x**3 - 11*x**2 + 144*x + 180 | 288 |
Expand the following expression: (x - 2)(x + 4)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 32*x**2 - 12*x + 144 | 100 |
Expand the following expression: (x + 4)(x - 6)(x - 1)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 25*x**3 + 162*x**2 - 656*x + 480 | 0 |
Expand the following expression: (x - 1)(x - 2)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + 7*x**2 + 6*x - 8 | 0 |
Expand the following expression: (x + 4)(x - 4)(x - 2)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 2*x**3 + 104*x**2 - 224*x + 128 | 0 |
Expand the following expression: (x + 1)(x + 2)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 21*x**2 + 22*x + 8 | 60 |
Expand the following expression: (x + 3)(x + 5)(x - 4)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 3*x**3 - 169*x**2 - 198*x + 360 | 0 |
Expand the following expression: (x - 6)(x - 4)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 20*x**2 + 192*x - 576 | -375 |
Expand the following expression: (x + 5)(x + 2)(x - 3)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 27*x**3 - 148*x**2 + 204*x + 720 | 756 |
Expand the following expression: (x + 5)(x - 1)(x + 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 14*x**2 - 8*x - 15 | 0 |
Expand the following expression: (x - 3)(x + 2)(x - 2)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 15*x**3 - 20*x**2 + 44*x + 48 | 60 |
Expand the following expression: (x + 5)(x - 2)(x + 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 29*x**2 + 100 | 72 |
Expand the following expression: (x + 3)(x + 2)(x - 1)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 17*x**3 + 27*x**2 + 52*x - 60 | 0 |
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 - x**3 - 40*x**2 + 52*x + 240 | 252 |
Expand the following expression: (x + 4)(x + 4)(x + 2)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 86*x**3 + 232*x**2 + 288*x + 128 | 750 |
Expand the following expression: (x + 1)(x + 3)(x - 4)(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 | -96 |
Expand the following expression: (x + 2)(x - 2)(x - 2)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 8*x**3 - 40*x**2 + 16*x + 80 | 54 |
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 - 6*x**3 - 17*x**2 + 150*x - 200 | -72 |
Expand the following expression: (x + 4)(x + 3)(x + 5)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 21*x**4 + 173*x**3 + 699*x**2 + 1386*x + 1080 | 3360 |
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 + 4*x**3 - 30*x**2 - 100*x + 125 | 0 |
Expand the following expression: (x - 5)(x - 5)(x + 2)(x - 4)(x + 6)
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 - 5)(x + 5)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 26*x**2 + 25 | 0 |
Expand the following expression: (x + 1)(x + 5)(x - 4)(x + 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 28*x**3 - 38*x**2 + 171*x + 180 | 288 |
Expand the following expression: (x + 3)(x + 5)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 29*x**2 - 35*x - 150 | -144 |
Expand the following expression: (x - 5)(x + 6)(x - 5)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 55*x**3 - 178*x**2 + 780*x + 1800 | 2352 |
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 + x**3 - 32*x**2 + 12*x + 144 | 126 |
Expand the following expression: (x - 2)(x - 1)(x + 1)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 6*x**3 - 8*x**2 + 5*x + 6 | 0 |
Expand the following expression: (x - 5)(x - 6)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 41*x**2 + 144*x + 180 | 280 |
Expand the following expression: (x - 5)(x + 2)(x + 2)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 11*x**3 + 26*x**2 + 28*x - 40 | 0 |
Expand the following expression: (x + 6)(x - 4)(x + 5)(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 | 504 |
Expand the following expression: (x - 6)(x + 6)(x + 1)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 40*x**3 - 40*x**2 + 144*x + 144 | 210 |
Expand the following expression: (x + 6)(x + 2)(x + 5)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 - 148*x - 240 | -378 |
Expand the following expression: (x - 4)(x - 4)(x - 1)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 37*x**3 + 20*x**2 + 336*x - 320 | 0 |
Expand the following expression: (x + 5)(x + 1)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - x**2 - 67*x - 60 | -120 |
Expand the following expression: (x + 2)(x - 3)(x + 4)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - x**3 - 92*x**2 - 60*x + 144 | 0 |
Expand the following expression: (x + 2)(x - 5)(x - 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 37*x**2 + 24*x + 180 | 168 |
Expand the following expression: (x - 3)(x - 2)(x + 5)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 17*x**3 + 87*x**2 - 128*x + 60 | 0 |
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