56.
4*(p - 17)**2*(p - 1)**2
Factor 4*s**3 + 32*s**2 - 372*s + 720.
4*(s - 4)*(s - 3)*(s + 15)
What is c in 4*c**3/7 - 4*c + 24/7 = 0?
-3, 1, 2
Factor -1375*s**2 + 1385*s - 10.
-5*(s - 1)*(275*s - 2)
Let -2*m**3/5 - 702*m**2/5 - 61248*m/5 + 61952/5 = 0. Calculate m.
-176, 1
Find v such that -v**2/3 - 86*v/3 = 0.
-86, 0
Factor 30*g**4 + 235*g**3 + 410*g**2 - 75*g.
5*g*(g + 3)*(g + 5)*(6*g - 1)
Find v, given that -5*v**5 + 185*v**4 - 1555*v**3 - 4085*v**2 + 21660*v = 0.
-4, 0, 3, 19
Factor 4*o**4 - 92*o**3 + 708*o**2 - 2180*o + 2200.
4*(o - 11)*(o - 5)**2*(o - 2)
Factor -4*g**3 - 352*g**2 - 2876*g - 2528.
-4*(g + 1)*(g + 8)*(g + 79)
Factor -g**2 + 77*g - 1470.
-(g - 42)*(g - 35)
Factor -2*m**3/3 + 34*m**2/3 + 490*m/3 + 450.
-2*(m - 27)*(m + 5)**2/3
Suppose 4*r**4/3 + 73*r**3/3 + 206*r**2/3 + 167*r/3 + 10 = 0. Calculate r.
-15, -2, -1, -1/4
Suppose -2*d**3 + 38*d**2 = 0. Calculate d.
0, 19
Suppose 396*d**5 + 190*d**4 - 994*d**3 + 416*d**2 - 8*d = 0. Calculate d.
-2, 0, 2/99, 1/2, 1
Find m such that -m**4/6 - m**3/3 + 37*m**2/2 + 56*m/3 - 1568/3 = 0.
-8, 7
Factor -t**2/8 + 21*t/8 - 45/4.
-(t - 15)*(t - 6)/8
Solve a**4 - 6*a**3 - 16*a**2 + 150*a - 225 = 0.
-5, 3, 5
Factor 4*z**4/5 + 44*z**3/5 + 132*z**2/5 + 36*z/5 - 216/5.
4*(z - 1)*(z + 3)**2*(z + 6)/5
Solve 4*m**4 + 112*m**3 + 784*m**2 = 0.
-14, 0
Factor -2*q**3/11 + 6*q**2/11 + 8*q/11.
-2*q*(q - 4)*(q + 1)/11
Suppose 2*x**3 - 236*x**2 + 918*x - 684 = 0. What is x?
1, 3, 114
Find a such that 2*a**3/5 + 212*a**2/5 + 122*a - 824/5 = 0.
-103, -4, 1
Suppose 12*n**3/7 + 352*n**2/7 + 400*n + 448 = 0. Calculate n.
-14, -4/3
Suppose -26*w**2/17 + 28*w/17 - 2/17 = 0. What is w?
1/13, 1
Factor -10*c**2/3 - 15214*c/3 - 2028.
-2*(c + 1521)*(5*c + 2)/3
Determine k, given that -2*k**4/3 - 254*k**3/3 - 166*k**2 + 254*k/3 + 500/3 = 0.
-125, -2, -1, 1
Determine j, given that 14*j**3/9 + 94*j**2/9 - 140*j/9 + 32/9 = 0.
-8, 2/7, 1
Solve z**4/3 + 22*z**3 + 127*z**2/3 - 22*z - 128/3 = 0 for z.
-64, -2, -1, 1
Factor 32*o**4 - 532*o**3 + 2356*o**2 - 1088*o - 768.
4*(o - 8)**2*(o - 1)*(8*o + 3)
Factor -16*h**4/5 + 232*h**3/5 + 119*h**2/5 + 3*h.
-h*(h - 15)*(4*h + 1)**2/5
Suppose -2*d**4/15 + 376*d**3/15 + 152*d**2/3 = 0. Calculate d.
-2, 0, 190
Factor -79*b**3/2 + b**2.
-b**2*(79*b - 2)/2
Factor d**3/4 + 197*d**2 + 154445*d/4 - 156025/2.
(d - 2)*(d + 395)**2/4
Factor y**3/5 - 114*y**2/5 - 232*y/5.
y*(y - 116)*(y + 2)/5
Determine z so that -5*z**3/4 - 95*z**2/2 + 5*z/4 + 95/2 = 0.
-38, -1, 1
Factor -i**4/5 - 4*i**3/5 - 4*i**2/5.
-i**2*(i + 2)**2/5
Suppose -g**4/6 + 10*g**3/3 + 179*g**2/6 + 45*g = 0. Calculate g.
-5, -2, 0, 27
Factor -5*y**5/2 + 30*y**4 - 75*y**3 + 70*y**2 - 45*y/2.
-5*y*(y - 9)*(y - 1)**3/2
Factor -10*x**3 - 35*x**2 - 20*x + 20.
-5*(x + 2)**2*(2*x - 1)
Solve 2*a**3 + 6*a**2 - 56*a = 0 for a.
-7, 0, 4
Determine b, given that -b**4/5 - 5*b**3 - 222*b**2/5 - 160*b - 896/5 = 0.
-8, -7, -2
Factor q**2/3 - 418*q/3 + 43681/3.
(q - 209)**2/3
Suppose n**4/3 - 4*n**3/3 - n**2/3 + 4*n/3 = 0. Calculate n.
-1, 0, 1, 4
Suppose 2*m**3/5 + 18*m**2/5 + 16*m/5 = 0. What is m?
-8, -1, 0
Factor 3*x**3 - 108*x**2 + 1296*x - 5184.
3*(x - 12)**3
Let 49*y**5/11 + 168*y**4/11 - 52*y**3/11 - 672*y**2/11 - 576*y/11 = 0. What is y?
-2, -12/7, 0, 2
Factor g**2 - 704*g.
g*(g - 704)
Factor 2*u**3/11 - 6906*u**2/11 + 7948806*u/11 - 3049691902/11.
2*(u - 1151)**3/11
Find p, given that -10*p**4 + 286*p**3 - 164*p**2 - 112*p = 0.
-2/5, 0, 1, 28
Suppose -3*f**5/2 + 9*f**4/2 + 3*f**3/2 - 21*f**2/2 + 6 = 0. Calculate f.
-1, 1, 2
Find w such that -5*w**5/3 - 20*w**4/3 - 10*w**3/3 + 20*w**2/3 + 5*w = 0.
-3, -1, 0, 1
Find p, given that 3*p**5 + 2913*p**4 + 941868*p**3 + 101091888*p**2 - 102036672*p = 0.
-324, 0, 1
Determine v, given that 14*v**3 - 744*v**2 - 648*v = 0.
-6/7, 0, 54
Let -274*o**2/5 - 828*o/5 - 18/5 = 0. What is o?
-3, -3/137
Factor 2*w**3 - 1676*w**2 - 1678*w.
2*w*(w - 839)*(w + 1)
Factor -5*r**2 - 3679*r/2 + 184.
-(r + 368)*(10*r - 1)/2
Factor -2*f**2 - 1020*f - 130050.
-2*(f + 255)**2
Factor -4*b**5/5 - 588*b**4 - 172872*b**3 - 25412184*b**2 - 1867795524*b - 274565942028/5.
-4*(b + 147)**5/5
Determine o, given that 4*o**5 + 40*o**4 + 132*o**3 + 144*o**2 = 0.
-4, -3, 0
Suppose 3*o**3/4 - 429*o**2/4 + 849*o/4 - 423/4 = 0. Calculate o.
1, 141
What is v in -15*v**2 + 531*v - 210 = 0?
2/5, 35
Factor 3*w**4/8 - 153*w**3/4 + 1053*w**2 - 11340*w + 42768.
3*(w - 66)*(w - 12)**3/8
Find t such that -t**4/8 + 18*t**3 - 611*t**2 - 2664*t - 2738 = 0.
-2, 74
Determine o so that -12*o**5 - 9*o**4 + 75*o**3 - 18*o**2 = 0.
-3, 0, 1/4, 2
Factor -2*m**5/3 + 2*m**4/3 + 104*m**3.
-2*m**3*(m - 13)*(m + 12)/3
Determine t so that -160*t**4 - 112*t**3 + 54*t**2 + 4*t - 2 = 0.
-1, -1/5, 1/4
Factor 3*h**2 - 369*h - 372.
3*(h - 124)*(h + 1)
Factor -4*l**2 - 980*l + 984.
-4*(l - 1)*(l + 246)
Suppose r**3/3 - 35*r**2 - 106*r/3 = 0. Calculate r.
-1, 0, 106
Let 35*r**3 - 25*r**2 - 220*r - 60 = 0. Calculate r.
-2, -2/7, 3
Let 760*q**2 + 1525*q + 10 = 0. What is q?
-2, -1/152
Factor -2*z**3/13 + 4*z**2/13 - 2*z/13.
-2*z*(z - 1)**2/13
Let 2*l**3/7 - 36*l**2/7 - 288*l/7 = 0. What is l?
-6, 0, 24
Find a such that 3*a**4 + 1722*a**3 - 8661*a**2 + 13884*a - 6948 = 0.
-579, 1, 2
Suppose -3*t**3 + 6072*t**2 - 3072432*t = 0. What is t?
0, 1012
Solve x**5 - 7*x**4 - 27*x**3 - 29*x**2 - 10*x = 0 for x.
-1, 0, 10
Suppose -r**3/2 - r**2 + 18*r + 36 = 0. What is r?
-6, -2, 6
Suppose b**4/5 + 16*b**3/5 + 12*b**2 = 0. Calculate b.
-10, -6, 0
Factor d**2 + 7*d + 6.
(d + 1)*(d + 6)
Suppose -q**5 - 4*q**4 - 6*q**3 - 4*q**2 - q = 0. Calculate q.
-1, 0
Find a such that -5*a**5/2 + 10*a**4 + 200*a**3 + 480*a**2 = 0.
-4, 0, 12
Factor -3*s**3/4 + 399*s**2/4.
-3*s**2*(s - 133)/4
Factor 5*x**2 + 295*x + 1100.
5*(x + 4)*(x + 55)
Find b such that -5*b**4 + 3585*b**3 - 3575*b**2 - 3585*b + 3580 = 0.
-1, 1, 716
Solve 2*h**2/5 - 13284*h/5 + 22058082/5 = 0.
3321
Factor 4*u**3 - 236*u**2 - 484*u - 244.
4*(u - 61)*(u + 1)**2
Factor 2*h**2/7 - 18*h/7 - 20.
2*(h - 14)*(h + 5)/7
Solve -4*y**4 - 4*y**3 + 4*y**2 + 4*y = 0 for y.
-1, 0, 1
Factor 8*u**2 + 114*u + 28.
2*(u + 14)*(4*u + 1)
Factor m**2 - 67*m + 66.
(m - 66)*(m - 1)
Let -5*f**2 - 833*f + 334 = 0. Calculate f.
-167, 2/5
What is c in c**3/6 - 11*c**2/6 - c/6 + 11/6 = 0?
-1, 1, 11
What is t in -3*t**4 + 27*t**3 - 69*t**2 + 45*t = 0?
0, 1, 3, 5
Determine v, given that -366*v**3/5 + 72*v**2 + 6*v/5 = 0.
-1/61, 0, 1
Find f, given that 7*f**4/2 + 61*f**3/2 - 165*f**2/2 + 119*f/2 - 11 = 0.
-11, 2/7, 1
Find w, given that -2*w**4/11 + 96*w**3/11 - 48*w**2 + 1024*w/11 - 672/11 = 0.
2, 42
Let 2*j**2/3 - 566*j/3 = 0. Calculate j.
0, 283
Factor -3*w**4 + 9*w**3 + 27*w**2 - 69*w + 36.
-3*(w - 4)*(w - 1)**2*(w + 3)
Find y, given that -y**3/2 - 17*y**2/2 + 78*y - 144 = 0.
-24, 3, 4
Let -5*u**4 - 20*u**3 + 60*u**2 + 160*u - 320 = 0. Calculate u.
-4, 2
Factor -b**2/2 - 11*b/2 - 14.
-(b + 4)*(b + 7)/2
Find r, given that -4*r**2 - 92*r - 528 = 0.
-12, -11
Solve -5*u**3 + 17*u**2 - 3*u - 9 = 0.
-3/5, 1, 3
Determine x so that 15*x**3 - 3777*x**2 - 756*x = 0.
-1/5, 0, 252
Determine i so that -81*i**5/11 - 369*i**4/11 + 2120*i**3/11 - 884*i**2/11 + 96*i/11 = 0.
-8, 0, 2/9, 3
Factor -4*b**3 + 48*b**2 - 80*b.
-4*b*(b - 10)*(b - 2)
Factor -4*n**3 - 344*n**2 + 1428*n - 1080.
-4*(n - 3)*(n - 1)*(n + 90)
Determine s, given that s**2/3 - 1174*s/3 + 344569/3 = 0.
587
Factor 2*z**5 + 16*z**4 + 30*z**3 - 8*z**2 - 40*z.
2*z*(z - 1)*(z + 2)**2*(z + 5)
Factor -3*j**4/7 - 138*j**3/7 - 1587*j**2/7.
-3*j**2*(j + 23)**2/7
Factor -4*q**3 + 20*q**2 - 24*q.
-4*q*(q - 3)*(q - 2)
Factor g**2/3 - 104*g/3 + 2704/3.
(g - 52)**2/3
Factor 3*y**2 + 3777*y.
3*y*(y + 1259)
Solve h**2/2 - 4*h - 10 = 0 for h.
-2, 10
Determine s, given that -3*s**3 - 42*s**2 + 93*s - 48 = 0.
-16, 1
Suppose 12*u**5 - 20*u**4 - 152*u**3 + 272*u**2 + 416*u - 768 = 0. Calculate u.
-3, -2, 2, 8/3
Find i such that 2*i**2/3 - 592*i/3 + 590/3 = 0.
1, 295
Factor -2*z**3/7 + 6*z**2/7 + 20*z/7 - 48/7.
-2*(z - 4)*(z - 2)*(z + 3)/7
Solve 4*o**2 - 4280*o + 1144900 = 0 for o.
535
Factor -7*n**3/2 - 3*n**2/2.
-n**2*(7*n + 3)/2
Factor -12*q**2/5 - 17*q/5 - 1.
-(q + 1)*(12*q + 5)/5
What is g in -2*g**3/15 + 4*g**2/5 - 6*g/5 = 0?
0, 3
Factor 2*n**4/7 - 20*n**3/7 + 8*n**2 - 12*n/7 - 90/7.
2*(n - 5)*(n - 3)**2*(n + 1)/7
Factor 