problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 4)(x - 4)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 40*x**2 + 32*x + 384 | 375 |
Expand the following expression: (x - 2)(x + 1)(x - 5)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - x**3 + 34*x**2 - 12*x - 40 | -24 |
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 - x**3 - 17*x**2 + 21*x + 36 | 40 |
Expand the following expression: (x - 2)(x - 1)(x + 3)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 9*x**3 - x**2 + 20*x - 12 | 0 |
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 - 2*x**3 - 33*x**2 + 50*x + 200 | 216 |
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 - x**4 - 15*x**3 + 25*x**2 + 14*x - 24 | 0 |
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 - 2)(x - 6)(x + 1)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 18*x**4 + 111*x**3 - 242*x**2 - 12*x + 360 | 200 |
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 + x**3 - 23*x**2 + 3*x + 90 | 72 |
Expand the following expression: (x + 1)(x + 5)(x + 1)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 29*x**3 - 123*x**2 - 152*x - 60 | -360 |
Expand the following expression: (x + 5)(x - 6)(x - 3)(x - 5)
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 + 3)(x + 1)(x - 6)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 31*x**3 - 73*x**2 + 30*x + 72 | 0 |
Expand the following expression: (x - 3)(x - 4)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 21*x**2 + 83*x - 60 | 0 |
Expand the following expression: (x - 4)(x + 1)(x + 6)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 31*x**3 + 166*x**2 - 96*x - 288 | -252 |
Expand the following expression: (x - 6)(x + 1)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 25*x**2 - 60*x - 36 | -120 |
Expand the following expression: (x + 3)(x + 3)(x - 6)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 9*x**3 - 297*x**2 - 972*x - 972 | -2240 |
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 | 36 |
Expand the following expression: (x - 4)(x + 2)(x + 1)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 11*x**3 + 48*x**2 + 100*x + 48 | 180 |
Expand the following expression: (x - 6)(x - 5)(x - 6)(x - 1)
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 + 5)(x - 3)(x + 3)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 31*x**3 + 49*x**2 + 198*x - 360 | -144 |
Expand the following expression: (x + 3)(x + 2)(x - 6)(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 | 0 |
Expand the following expression: (x - 2)(x - 4)(x - 4)(x + 4)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 32*x**3 + 64*x**2 + 256*x - 512 | -225 |
Expand the following expression: (x - 2)(x - 5)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 23*x**2 + 75*x - 50 | 0 |
Expand the following expression: (x - 1)(x - 2)(x + 3)(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 | 0 |
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 + x**3 - 28*x**2 + 20*x + 48 | 42 |
Expand the following expression: (x - 3)(x - 2)(x + 3)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 29*x**3 + 6*x**2 + 180*x - 216 | -56 |
Expand the following expression: (x - 1)(x + 1)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 + x**2 - 3*x - 2 | 0 |
Expand the following expression: (x - 2)(x + 5)(x + 3)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 28*x**3 + 30*x**2 + 171*x - 270 | -96 |
Expand the following expression: (x + 6)(x - 1)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 32*x**2 + 180*x - 144 | 0 |
Expand the following expression: (x - 3)(x + 6)(x - 5)(x - 2)(x - 6)
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 | 280 |
Expand the following expression: (x + 3)(x - 4)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 11*x**2 + 81*x - 180 | -96 |
Expand the following expression: (x - 4)(x - 1)(x + 2)(x - 5)(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 | 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 + 8*x**3 - 7*x**2 - 134*x - 120 | -252 |
Expand the following expression: (x - 1)(x - 5)(x + 2)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 21*x**3 - 187*x**2 - 100*x + 300 | 0 |
Expand the following expression: (x + 3)(x + 1)(x - 1)(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 + 5)(x - 1)(x - 1)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 18*x**3 - 4*x**2 + 49*x - 30 | 0 |
Expand the following expression: (x - 4)(x - 2)(x - 1)(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 | 0 |
Expand the following expression: (x - 3)(x + 5)(x + 4)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 21*x**3 - 64*x**2 - 268*x - 240 | -540 |
Expand the following expression: (x + 6)(x - 2)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 2*x**2 - 28*x - 24 | -42 |
Expand the following expression: (x - 3)(x - 1)(x + 1)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 22*x**3 + 16*x**2 + 21*x - 18 | 0 |
Expand the following expression: (x + 5)(x + 3)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 21*x**2 - x - 30 | 0 |
Expand the following expression: (x + 6)(x + 2)(x - 2)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 80*x**3 + 80*x**2 - 336*x - 576 | -735 |
Expand the following expression: (x + 4)(x - 5)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 46*x**2 - 16*x + 480 | 420 |
Expand the following expression: (x - 6)(x + 4)(x + 5)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 - 3*x**3 - 328*x**2 - 1180*x - 1200 | -2700 |
Expand the following expression: (x - 2)(x + 5)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 20*x**2 + 84*x - 80 | -18 |
Expand the following expression: (x + 3)(x + 1)(x - 5)(x - 6)(x - 3)
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 | -320 |
Expand the following expression: (x + 2)(x + 1)(x - 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 9*x**2 + 16*x + 20 | 24 |
Expand the following expression: (x - 2)(x + 4)(x + 3)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 3*x**3 - 56*x**2 - 12*x + 144 | 80 |
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 + 14*x**3 + 69*x**2 + 140*x + 100 | 324 |
Expand the following expression: (x + 1)(x + 2)(x + 6)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 37*x**3 - 74*x**2 + 36*x + 72 | 0 |
Expand the following expression: (x + 5)(x - 4)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 33*x**2 - 55*x + 300 | 216 |
Expand the following expression: (x + 5)(x + 1)(x + 6)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 50*x**3 - 68*x**2 - 555*x - 450 | -1008 |
Expand the following expression: (x + 3)(x - 3)(x + 1)(x + 4)
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 + 5)(x + 3)(x - 4)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 23*x**3 - 51*x**2 + 94*x + 120 | 144 |
Expand the following expression: (x - 4)(x + 1)(x - 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 3*x**2 + 10*x + 8 | 12 |
Expand the following expression: (x + 2)(x - 4)(x + 5)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 22*x**3 - 52*x**2 + 72*x + 160 | 162 |
Expand the following expression: (x - 2)(x - 6)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 18*x**3 + 116*x**2 - 312*x + 288 | 75 |
Expand the following expression: (x + 3)(x + 1)(x - 4)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 19*x**3 - 25*x**2 + 66*x + 72 | 96 |
Expand the following expression: (x + 4)(x + 5)(x + 4)(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 | 0 |
Expand the following expression: (x - 6)(x - 6)(x + 3)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 41*x**3 + 72*x**2 + 540*x + 432 | 1000 |
Expand the following expression: (x + 3)(x - 3)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 15*x**2 - 45*x + 54 | 0 |
Expand the following expression: (x + 4)(x + 6)(x + 2)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 26*x**3 - 68*x**2 - 312*x - 288 | -630 |
Expand the following expression: (x - 2)(x + 1)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 + 3*x**2 + 4*x - 4 | 0 |
Expand the following expression: (x + 5)(x - 4)(x - 6)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 27*x**3 + 125*x**2 + 26*x - 120 | 0 |
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 + 10*x**3 - 12*x**2 - 360*x - 864 | -1225 |
Expand the following expression: (x + 1)(x - 1)(x + 1)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 18*x**3 - 14*x**2 + 17*x + 15 | 0 |
Expand the following expression: (x + 6)(x + 1)(x + 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 16*x**2 - 68*x - 48 | -126 |
Expand the following expression: (x + 6)(x + 4)(x + 3)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 94*x**3 + 132*x**2 - 360*x - 864 | -980 |
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 - 2*x**3 - 31*x**2 + 32*x + 60 | 60 |
Expand the following expression: (x - 1)(x - 1)(x + 4)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 + 7*x**3 - 23*x**2 - 8*x + 16 | 0 |
Expand the following expression: (x + 2)(x + 6)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 36*x**2 + 32*x + 192 | 189 |
Expand the following expression: (x - 1)(x + 1)(x + 4)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 19*x**3 + 8*x**2 - 20*x - 16 | 0 |
Expand the following expression: (x + 6)(x + 3)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 51*x**2 + 72*x + 540 | 560 |
Expand the following expression: (x - 2)(x - 6)(x - 2)(x + 3)(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 - 1)(x + 6)(x + 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 12*x**3 + 41*x**2 + 18*x - 72 | 0 |
Expand the following expression: (x - 6)(x - 5)(x - 6)(x - 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 49*x**3 + 426*x**2 - 3060*x + 5400 | 2800 |
Expand the following expression: (x - 4)(x - 4)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 36*x**2 - 16*x - 64 | -54 |
Expand the following expression: (x - 3)(x - 4)(x - 4)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 - 3*x**3 + 182*x**2 - 544*x + 480 | 108 |
Expand the following expression: (x - 2)(x + 4)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 8*x**2 - 28*x - 48 | -60 |
Expand the following expression: (x + 5)(x - 3)(x + 3)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 32*x**3 + 78*x**2 + 207*x - 540 | -288 |
Expand the following expression: (x + 6)(x - 6)(x + 1)(x + 3)
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 - 3)(x + 2)(x + 1)(x + 3)(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 - 5)(x - 2)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 21*x**2 + 100*x - 100 | -24 |
Expand the following expression: (x + 1)(x + 4)(x - 4)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 11*x**3 + 108*x**2 - 80*x - 192 | -180 |
Expand the following expression: (x + 4)(x + 5)(x + 1)(x + 3)
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 - 2)(x - 5)(x - 5)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 22*x**4 + 189*x**3 - 788*x**2 + 1580*x - 1200 | -240 |
Expand the following expression: (x - 2)(x - 4)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 18*x**3 + 116*x**2 - 312*x + 288 | 75 |
Expand the following expression: (x - 6)(x - 3)(x - 5)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 27*x**3 + 414*x**2 - 2268*x + 3240 | 1400 |
Expand the following expression: (x + 5)(x - 2)(x + 5)(x + 1)
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 + 3)(x + 3)(x - 3)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 54*x**3 - 36*x**2 - 567*x - 810 | -1344 |
Expand the following expression: (x - 3)(x - 5)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 35*x**2 + 57*x + 90 | 112 |
Expand the following expression: (x - 2)(x - 3)(x - 3)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 8*x**4 + 20*x**3 - 10*x**2 - 21*x + 18 | 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 - 216*x - 180 | -420 |
Expand the following expression: (x + 2)(x + 1)(x + 3)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 8*x**3 - 62*x**2 - 153*x - 90 | -288 |
Expand the following expression: (x - 1)(x + 2)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 3*x**2 - 16*x + 12 | 0 |
Expand the following expression: (x + 4)(x + 5)(x - 2)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 19*x**3 - 62*x**2 - 128*x + 160 | 0 |
Expand the following expression: (x + 1)(x + 1)(x + 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**2 - 18*x - 8 | -36 |
Expand the following expression: (x + 5)(x - 5)(x + 5)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 50*x**3 + 250*x**2 + 625*x - 3125 | -2304 |
Expand the following expression: (x + 2)(x - 5)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 53*x**2 + 20*x - 300 | -240 |
Expand the following expression: (x - 4)(x - 6)(x - 2)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 - 4*x**3 + 328*x**2 - 1152*x + 1152 | 315 |
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