2 + 1008*v - 1024.
-4*(v - 2)**2*(v + 64)
Suppose 5*h**4/7 + 2*h**3/7 - 13*h**2/7 + 6*h/7 = 0. Calculate h.
-2, 0, 3/5, 1
Factor 2*t**3/11 + 52*t**2/11 + 98*t/11 + 48/11.
2*(t + 1)**2*(t + 24)/11
Factor 243*p**4 - 26190*p**3 + 728571*p**2 - 1233840*p + 539328.
3*(p - 53)**2*(9*p - 8)**2
Factor 75*v**4 - 2655*v**3 + 1053*v**2 - 105*v.
3*v*(v - 35)*(5*v - 1)**2
Factor k**2/8 - 21*k/8 + 13.
(k - 13)*(k - 8)/8
Factor a**4/9 + 4*a**3/9 - 7*a**2/9 - 10*a/9.
a*(a - 2)*(a + 1)*(a + 5)/9
Find g such that 9*g**3 + 429*g**2 - 585*g + 147 = 0.
-49, 1/3, 1
Factor 5*a**2/6 + 35*a/6 - 100.
5*(a - 8)*(a + 15)/6
Factor -2*b**3/3 - 38*b**2/3 - 66*b - 54.
-2*(b + 1)*(b + 9)**2/3
Factor -s**3/8 + 113*s**2/8 - 463*s/4 - 130.
-(s - 104)*(s - 10)*(s + 1)/8
Factor -h**2/2 + 25*h - 48.
-(h - 48)*(h - 2)/2
Solve c**4/6 - 14*c**3/3 = 0 for c.
0, 28
Factor -25*z**2 - 1890*z + 760.
-5*(z + 76)*(5*z - 2)
Determine p so that 21*p**3/4 + 45*p**2/2 + 9*p/4 - 15 = 0.
-4, -1, 5/7
Factor -4*m**3 - 48*m**2 - 140*m.
-4*m*(m + 5)*(m + 7)
Suppose -10*k**2 - 71*k/3 - 13/3 = 0. Calculate k.
-13/6, -1/5
Factor -3*s**3 + 1029*s**2 - 2049*s + 1023.
-3*(s - 341)*(s - 1)**2
Factor 532*d**2 - 142*d + 6.
2*(14*d - 3)*(19*d - 1)
Let 4*b**3 + 12*b**2 - 16*b - 48 = 0. What is b?
-3, -2, 2
Solve 2*d**3/3 + 10*d**2 + 32*d + 88/3 = 0.
-11, -2
Factor 5*g**3 + 600*g**2 - 5*g - 600.
5*(g - 1)*(g + 1)*(g + 120)
Determine n, given that 4*n**4 - 208*n**3 - 652*n**2 - 440*n = 0.
-2, -1, 0, 55
Factor -155*k**4/4 + 80*k**3 - 5*k**2.
-5*k**2*(k - 2)*(31*k - 2)/4
Find j such that -5*j**3 - 20*j**2 - 25*j - 10 = 0.
-2, -1
Find a such that -27*a**2 - 24*a + 3 = 0.
-1, 1/9
Let 2*w**4 + 52*w**3/3 - 6*w**2 = 0. Calculate w.
-9, 0, 1/3
Solve -2*i**2/7 - 64*i - 888/7 = 0.
-222, -2
Solve l**2/8 + 103*l/4 + 10609/8 = 0 for l.
-103
Let -u**5/5 - 2*u**4/5 + 6*u**3/5 + 4*u**2 + 19*u/5 + 6/5 = 0. What is u?
-2, -1, 3
Factor 4*d**3/7 - 932*d**2/7.
4*d**2*(d - 233)/7
Factor -3*q**3 - 15*q**2 - 24*q - 12.
-3*(q + 1)*(q + 2)**2
Suppose -49*z**4/8 - 133*z**3/2 - 240*z**2 - 288*z = 0. Calculate z.
-4, -24/7, 0
What is x in -x**5 + 5*x**4 - 8*x**3 + 4*x**2 = 0?
0, 1, 2
Determine c so that -2*c**5 + 30*c**4 - 138*c**3 + 130*c**2 + 300*c = 0.
-1, 0, 5, 6
Factor -3*m**2/8 + 48*m - 381/8.
-3*(m - 127)*(m - 1)/8
Factor -g**2/9 - 19*g/9 + 14/3.
-(g - 2)*(g + 21)/9
Factor -b**4/6 + 2*b**3/3 + b**2/2 - 7*b/3 + 4/3.
-(b - 4)*(b - 1)**2*(b + 2)/6
Factor 8*t**3/17 - 10*t**2/17 + 2*t/17.
2*t*(t - 1)*(4*t - 1)/17
Determine u so that 12*u**4 - 117*u**3 + 306*u**2 - 204*u - 72 = 0.
-1/4, 2, 6
Suppose 2*m**4/15 + 16*m**3/15 - 16*m**2/5 - 64*m/15 + 32/3 = 0. What is m?
-10, -2, 2
Suppose 2*p**4/23 + 32*p**3/23 + 82*p**2/23 + 52*p/23 = 0. What is p?
-13, -2, -1, 0
Solve 5*h**2 - 1070*h - 3255 = 0 for h.
-3, 217
Let -12*p**4/7 + 45*p**3/7 + 81*p**2/7 - 3*p - 45/7 = 0. What is p?
-1, 3/4, 5
Factor 3*p**3/4 - 123*p**2/4 + 276*p - 435.
3*(p - 29)*(p - 10)*(p - 2)/4
Determine q so that -4*q**2/5 - 772*q/5 - 6624/5 = 0.
-184, -9
What is x in -4*x**3 - 36*x**2 - 72*x = 0?
-6, -3, 0
Determine i, given that 3*i**5/5 - 3*i**4 + 21*i**3/5 + 3*i**2/5 - 24*i/5 + 12/5 = 0.
-1, 1, 2
Solve f**4/2 - 2*f**3 - 9*f**2 - 10*f - 7/2 = 0.
-1, 7
Factor -6*i**2/5 - 4554*i/5 - 9084/5.
-6*(i + 2)*(i + 757)/5
Find b such that 27*b**4 + 63*b**3 - 1185*b**2/4 + 300*b - 375/4 = 0.
-5, 5/6, 1
Factor n**5/5 + 4*n**4 + 132*n**3/5 + 64*n**2 + 256*n/5.
n*(n + 2)**2*(n + 8)**2/5
Factor -4*w**4 - 52*w**3 - 224*w**2 - 320*w.
-4*w*(w + 4)**2*(w + 5)
Solve -2*m**2/9 - 2*m/9 + 4/9 = 0 for m.
-2, 1
Find w such that w**3/2 + 5*w**2 + 17*w/2 + 4 = 0.
-8, -1
Factor 2*n**3/13 + 44*n**2/13 - 518*n/13 + 1240/13.
2*(n - 5)*(n - 4)*(n + 31)/13
Find l such that -l**3/11 - 4*l**2 - 164*l/11 - 160/11 = 0.
-40, -2
Suppose -5*w**4 + 65*w**3 + 5*w**2 - 65*w = 0. What is w?
-1, 0, 1, 13
Solve 15*t**4 - 55*t**3 - 30*t**2 + 220*t - 120 = 0.
-2, 2/3, 2, 3
Solve 9*b**5/2 - 6*b**4 - 47*b**3/2 + 23*b**2 + 22*b + 4 = 0 for b.
-2, -1/3, 2
Let 4*k**4 - 128*k**3 - 172*k**2 + 1352*k - 1056 = 0. What is k?
-4, 1, 2, 33
Factor -5*n**3 - 63*n**2 - 184*n + 84.
-(n + 6)*(n + 7)*(5*n - 2)
Factor 2*t**4/19 + 2*t**3/19 - 18*t**2/19 - 18*t/19.
2*t*(t - 3)*(t + 1)*(t + 3)/19
Solve 4*o**3 - 124*o - 120 = 0 for o.
-5, -1, 6
Factor -5*r**2 - 315*r + 320.
-5*(r - 1)*(r + 64)
Let 4*b**2 - 2344*b + 343396 = 0. What is b?
293
Factor -4*u**2 - 152*u - 768.
-4*(u + 6)*(u + 32)
Factor -4*l**2 + 1548*l + 1552.
-4*(l - 388)*(l + 1)
Factor -s**2/9 - 110*s/9 + 37/3.
-(s - 1)*(s + 111)/9
Factor 4*n**3 + 76*n**2 + 176*n - 256.
4*(n - 1)*(n + 4)*(n + 16)
Factor -m**2/3 + 10*m/3.
-m*(m - 10)/3
Factor -x**4/3 - 2*x**3 + 20*x**2/3 + 8*x - 64/3.
-(x - 2)**2*(x + 2)*(x + 8)/3
Factor 5*g**2 + 4405*g - 4410.
5*(g - 1)*(g + 882)
Factor 5*t**4 - 530*t**3 + 1495*t**2 + 5150*t.
5*t*(t - 103)*(t - 5)*(t + 2)
Factor 20*u**3 - 1508*u**2 + 145824*u/5 - 138384/5.
4*(u - 1)*(5*u - 186)**2/5
Find o such that 2*o**5 + 76*o**4 + 62*o**3 - 452*o**2 - 280*o + 592 = 0.
-37, -2, 1, 2
Determine r, given that -r**3/4 - 15*r**2 + 31*r = 0.
-62, 0, 2
Factor 2*w**3/13 - 6*w**2/13.
2*w**2*(w - 3)/13
Factor -z**4/2 + 18*z**3 - 189*z**2/2 + 135*z.
-z*(z - 30)*(z - 3)**2/2
Solve m**3/2 + m**2/2 - m/2 - 1/2 = 0.
-1, 1
Suppose -4*u**4 - 284*u**3 + 1184*u**2 - 1200*u = 0. Calculate u.
-75, 0, 2
Determine u, given that u**2 - 120*u + 119 = 0.
1, 119
What is g in -g**3/3 + 355*g**2/3 + 356*g/3 = 0?
-1, 0, 356
Let 3*r**4 + 6*r**3 + 3*r**2 = 0. Calculate r.
-1, 0
Factor -w**2 - 63*w - 236.
-(w + 4)*(w + 59)
Suppose -75*o**4 + 210*o**3 - 99*o**2 - 48*o + 12 = 0. Calculate o.
-2/5, 1/5, 1, 2
Suppose 12*d**2 + 746*d - 630 = 0. Calculate d.
-63, 5/6
Determine o so that -4*o**5/5 - 24*o**4/5 - 44*o**3/5 - 8*o**2/5 + 48*o/5 + 32/5 = 0.
-2, -1, 1
Determine k so that -36*k**3 + 13908*k**2 - 18496*k + 6160 = 0.
2/3, 385
Factor 4*o**4 - 1344*o**3 + 169344*o**2 - 9483264*o + 199148544.
4*(o - 84)**4
Factor 2*x**4/9 - 56*x**3/9 - 118*x**2/9 - 20*x/3.
2*x*(x - 30)*(x + 1)**2/9
Let a**2/6 + 19*a/6 + 17/3 = 0. Calculate a.
-17, -2
Solve 28*t**5/9 - 292*t**4/9 - 116*t**3/3 + 292*t**2/9 + 320*t/9 = 0 for t.
-1, 0, 1, 80/7
What is f in -f**3 + 78*f**2 + 159*f + 80 = 0?
-1, 80
What is u in -3*u**2/2 - 111*u - 4107/2 = 0?
-37
Factor 147*n**3 - 42*n**2 + 3*n.
3*n*(7*n - 1)**2
Factor 5*d**3 + 380*d**2 + 3825*d - 141750.
5*(d - 14)*(d + 45)**2
Suppose -2*y**2/7 - 108*y/7 + 1280/7 = 0. What is y?
-64, 10
What is j in -j**2 - 8444*j - 17825284 = 0?
-4222
Suppose -b**2/2 + 60*b - 1800 = 0. What is b?
60
Suppose 2*d**2 + 1732*d - 3472 = 0. Calculate d.
-868, 2
Factor 3*g**2/2 - 120*g + 2400.
3*(g - 40)**2/2
Determine g so that 22*g**4/5 - 144*g**3/5 + 182*g**2/5 - 12*g = 0.
0, 6/11, 1, 5
Factor 5*o**3 + 610*o**2 + 1200*o.
5*o*(o + 2)*(o + 120)
Let 3*f**2/2 - 549*f + 1092 = 0. What is f?
2, 364
Factor 2*v**3 - 326*v**2 - 658*v - 330.
2*(v - 165)*(v + 1)**2
Determine a so that -27*a**4 - 846*a**3 - 6339*a**2 + 4512*a - 768 = 0.
-16, 1/3
Suppose 8*s**4 + 426*s**3 + 506*s**2 - 732*s - 208 = 0. Calculate s.
-52, -2, -1/4, 1
Factor -3*b**4/5 - 6*b**3/5 - 3*b**2/5.
-3*b**2*(b + 1)**2/5
What is c in 209*c**2/3 + 69*c - 2/3 = 0?
-1, 2/209
Let -5*j**2 + 45 = 0. Calculate j.
-3, 3
Suppose o**4/3 - 5*o**3/3 + 4*o**2/3 = 0. What is o?
0, 1, 4
Suppose 16*w**5/5 - 76*w**4/5 + 76*w**3/5 + 88*w**2/5 - 112*w/5 - 32/5 = 0. Calculate w.
-1, -1/4, 2
Suppose -2*w**3/7 - 10*w**2/7 + 34*w/7 + 6 = 0. Calculate w.
-7, -1, 3
Factor 125*h**5/4 + 1975*h**4/4 - 1245*h**3/2 + 253*h**2 - 34*h.
h*(h + 17)*(5*h - 2)**3/4
Find b such that -4*b**2/3 - 28*b + 184/3 = 0.
-23, 2
Factor 2*l**2 + 112*l + 1568.
2*(l + 28)**2
Determine l, given that -39*l**4 - 240*l**3 - 36*l**2 + 1248*l + 192 = 0.
-4, -2/13, 2
Factor 5*d**2 + 25*d.
5*d*(d + 5)
Let 2*d**5/11 + 26*d**4/11 + 64*d**3/11 + 40*d**2/11 = 0. What is d?
-10, -2, -1, 0
Factor h**4/3 - 2*h**3 - 32*h**2 - 224*h/3.
h*(h - 14)*(h + 4)**2/3
What is j in -4*j**3 + 11364*j**2 - 10761708*j + 3397112492 = 0?
947
Factor 3*v**3/5 + 9*v**2 - 219*v/5 + 171/5.
3*(v - 3)*(v - 1)*(v + 19)/5
Solve 5*f**5 + 15770*f**4 + 12434645*f**3 = 0 for f.
-1577, 0
Factor 5*v**2 - 400*v + 2555.
5*(v - 73)*(v - 7)
Solve -3*g**3 - 72*g**2 + 153*g - 78 = 0.
-26, 1
Factor -y**4 - 107*y**3 + 678*y**2.
-y**2*(y - 6)*(y 