e i so that 3*i**2/4 + 9*i/2 + 15/4 = 0.
-5, -1
Factor -h**2/2 + 308*h - 614.
-(h - 614)*(h - 2)/2
Factor -3*p**4 - 6*p**3 + 9*p**2 + 12*p - 12.
-3*(p - 1)**2*(p + 2)**2
Let -4*y**5 + 5*y**4 + 111*y**3 - 92*y**2 - 752*y + 192 = 0. Calculate y.
-4, -3, 1/4, 4
What is h in -h**5 + 10*h**3 - 9*h = 0?
-3, -1, 0, 1, 3
Determine k, given that k**2/7 + 3*k/7 - 4 = 0.
-7, 4
Determine t, given that -14*t**3/5 - 64*t**2/5 - 32*t/5 = 0.
-4, -4/7, 0
Let -n**3/2 - 50*n**2 - 1496*n - 11616 = 0. Calculate n.
-44, -12
Let -2*c**4 + 6*c**3 + 8*c**2 - 24*c = 0. Calculate c.
-2, 0, 2, 3
Solve m**2/4 - 8*m + 15 = 0 for m.
2, 30
Factor -36*f**4 + 75*f**3 - 6*f**2.
-3*f**2*(f - 2)*(12*f - 1)
Determine u, given that -98*u**4/9 + 238*u**3/9 - 4*u**2 - 88*u/9 - 16/9 = 0.
-2/7, 1, 2
Find v, given that -4*v**2 - 2956*v - 2952 = 0.
-738, -1
Determine n so that -4*n**5/7 + 34*n**4/21 + 4*n**3/3 - 136*n**2/21 + 80*n/21 = 0.
-2, 0, 5/6, 2
Solve -3*r**5 + 501*r**4 - 981*r**3 - 1509*r**2 + 3972*r - 1980 = 0.
-2, 1, 2, 165
Let -d**5/4 + d**4 + 3*d**3/2 - d**2 - 5*d/4 = 0. Calculate d.
-1, 0, 1, 5
Let 2*i**2/5 - 116*i/5 - 768/5 = 0. What is i?
-6, 64
What is l in -3*l**4 + 315*l**3 - 1212*l**2 = 0?
0, 4, 101
Factor 2*m**3/5 + 36*m**2/5 + 64*m/5.
2*m*(m + 2)*(m + 16)/5
Solve -175*d**3 - 970*d**2/3 + 60*d + 40/3 = 0.
-2, -2/15, 2/7
Let -3*c**3/4 + 9*c**2 + 81*c/4 + 21/2 = 0. Calculate c.
-1, 14
Factor 3*l**2 - 141*l.
3*l*(l - 47)
Solve b**3/4 - 10*b**2 - 41*b/4 = 0 for b.
-1, 0, 41
Factor -24*t**3 - 225*t**2 + 159*t + 90.
-3*(t - 1)*(t + 10)*(8*t + 3)
Find b such that 117*b**5 + 69*b**4 - 123*b**3 - 69*b**2 + 6*b = 0.
-1, -2/3, 0, 1/13, 1
Determine h, given that 3*h**2 - 7026*h + 4113723 = 0.
1171
Factor 3*m**3 - 57*m**2 + 192*m - 180.
3*(m - 15)*(m - 2)**2
Let -p**3/10 - 23*p**2/10 + 16*p/5 + 1152/5 = 0. Calculate p.
-16, 9
Determine j, given that 3*j**5/2 + 3*j**4/2 - 33*j**3/2 - 87*j**2/2 - 39*j - 12 = 0.
-2, -1, 4
Factor -d**4/4 - 3*d**3/2 - 11*d**2/4 - 3*d/2.
-d*(d + 1)*(d + 2)*(d + 3)/4
Find l such that -l**4/2 + 9*l**3 - 105*l**2/2 + 100*l = 0.
0, 5, 8
Solve -2*a**2/3 + 4592*a/3 - 2635808/3 = 0 for a.
1148
Factor -m**3 + 844*m**2 + 847*m - 1690.
-(m - 845)*(m - 1)*(m + 2)
Factor -4*n**3 + 124*n**2 - 220*n - 348.
-4*(n - 29)*(n - 3)*(n + 1)
Solve -4*k**4 + 48*k**3 + 52*k**2 = 0 for k.
-1, 0, 13
Factor 125*s**2/3 + 985*s/3 - 40.
5*(s + 8)*(25*s - 3)/3
Solve 2*q**5/17 + 4*q**4/17 - 4*q**2/17 - 2*q/17 = 0 for q.
-1, 0, 1
Factor 4*y**3 - 32*y**2 - 396*y - 360.
4*(y - 15)*(y + 1)*(y + 6)
Factor 2*x**2/7 - 6*x/7 - 416/7.
2*(x - 16)*(x + 13)/7
Factor -y**4/5 + 92*y**3/5 - 528*y**2/5 + 208*y - 688/5.
-(y - 86)*(y - 2)**3/5
Solve -d**2 + 22*d + 75 = 0 for d.
-3, 25
Solve -l**3/9 + 22*l**2/3 - 65*l/9 = 0 for l.
0, 1, 65
Let -6*q**4/5 + 436*q**3/5 - 288*q**2/5 = 0. What is q?
0, 2/3, 72
Suppose 5*q**5 + 10*q**4 - 10*q**2 - 5*q = 0. Calculate q.
-1, 0, 1
Factor -9*n**4 + 1380*n**3 - 53812*n**2 + 69920*n - 23104.
-(n - 76)**2*(3*n - 2)**2
Factor 251*g**3/2 - 25*g**2/2.
g**2*(251*g - 25)/2
Suppose 5*v**5 - 155*v**4 - 170*v**3 + 320*v**2 = 0. What is v?
-2, 0, 1, 32
Suppose -2*n**2/9 + 448*n/9 - 25088/9 = 0. Calculate n.
112
Determine d so that 4*d**4 - 8*d**3 - 96*d**2 + 200*d - 100 = 0.
-5, 1, 5
Factor -4*q**2 - 52*q + 56.
-4*(q - 1)*(q + 14)
What is s in 2*s**5/3 - 26*s**4/3 + 118*s**3/3 - 190*s**2/3 - 16*s + 96 = 0?
-1, 3, 4
Solve -5*o**3 - 15*o**2 + 30*o + 40 = 0 for o.
-4, -1, 2
Factor -d**3/6 - 131*d**2/3 - 521*d/6 - 130/3.
-(d + 1)**2*(d + 260)/6
What is r in 2*r**5 + 42*r**4 + 136*r**3 - 32*r**2 - 576*r - 544 = 0?
-17, -2, 2
Solve 11*q**3 - 10*q**2 - 44*q + 40 = 0 for q.
-2, 10/11, 2
Factor 32*j**3/13 + 16*j**2 + 98*j/13 + 12/13.
2*(j + 6)*(4*j + 1)**2/13
Find l such that -5*l**4 - 85*l**3 - 235*l**2 + 745*l - 420 = 0.
-12, -7, 1
Determine u, given that -u**4/3 - 4*u**3/3 + 11*u**2/3 - 2*u = 0.
-6, 0, 1
Solve -2*t**5 + 40*t**4 + 96*t**3 - 172*t**2 - 94*t + 132 = 0.
-3, -1, 1, 22
Factor 6*l**3 + 99*l**2/2 - 135*l/2 - 111.
3*(l - 2)*(l + 1)*(4*l + 37)/2
Factor -2*f**2/9 + 2476*f/9 - 766322/9.
-2*(f - 619)**2/9
Factor -w**5/4 - w**4/4 + w**3/2 + w**2/2 - w/4 - 1/4.
-(w - 1)**2*(w + 1)**3/4
Factor -p**3/4 - 87*p**2/4 - 2331*p/4 - 17797/4.
-(p + 13)*(p + 37)**2/4
Let -5*i**3 + 2150*i**2 + 8660*i + 8680 = 0. What is i?
-2, 434
Factor 2*f**5/5 + 18*f**4/5 + 28*f**3/5.
2*f**3*(f + 2)*(f + 7)/5
Find u such that -u**3 - 57*u**2 - 362*u - 600 = 0.
-50, -4, -3
Factor -3*n**3/8 - 219*n**2/8 + 447*n/8 - 225/8.
-3*(n - 1)**2*(n + 75)/8
Factor 5*x**5 + 15*x**4 - 35*x**3 - 35*x**2 + 90*x - 40.
5*(x - 1)**3*(x + 2)*(x + 4)
Let 2*n**2 - 13580*n + 23052050 = 0. Calculate n.
3395
Factor 3*i**3 - 78*i**2.
3*i**2*(i - 26)
Let 2*l**3/13 + 368*l**2/13 - 3040*l/13 + 6144/13 = 0. Calculate l.
-192, 4
Find z such that 3*z**5 + 11*z**4 + 12*z**3 + 4*z**2 = 0.
-2, -1, -2/3, 0
Factor -6*z**2 - 12819*z + 6411.
-3*(z + 2137)*(2*z - 1)
Suppose -4*r**5 + 4*r**4 + 24*r**3 - 16*r**2 - 32*r = 0. Calculate r.
-2, -1, 0, 2
Let -417*o**3 + 3*o**2 + 417*o - 3 = 0. Calculate o.
-1, 1/139, 1
Find n such that 5*n**3 - 20*n**2 - 5*n + 20 = 0.
-1, 1, 4
Let 4*g**3 + 1660*g**2 + 173052*g + 171396 = 0. What is g?
-207, -1
Solve 60*a**2 - 3595*a - 300 = 0 for a.
-1/12, 60
Let -2*m**4 + 50*m**3 - 166*m**2 - 50*m + 168 = 0. What is m?
-1, 1, 4, 21
Find a, given that -a**4/4 - 23*a**3/4 - 32*a**2 - 67*a - 48 = 0.
-16, -3, -2
Factor c**2/2 + 137*c + 273/2.
(c + 1)*(c + 273)/2
Factor z**3/5 - 61*z**2/5 - 324*z/5 - 396/5.
(z - 66)*(z + 2)*(z + 3)/5
Let -j**4/2 - 15*j**3/2 + 37*j**2/2 + 51*j/2 = 0. What is j?
-17, -1, 0, 3
Factor 3*q**2 - 222*q + 432.
3*(q - 72)*(q - 2)
Factor 2*b**4/3 - 752*b**3/3 - 754*b**2/3.
2*b**2*(b - 377)*(b + 1)/3
What is y in -2*y**3 + 1706*y**2 - 1700*y - 3408 = 0?
-1, 2, 852
Factor -123*f**3 - 3684*f**2 - 27495*f + 1350.
-3*(f + 15)**2*(41*f - 2)
Factor c**4 + 9*c**3 + 27*c**2 + 27*c.
c*(c + 3)**3
Let -2*r**3/5 + 8*r**2/5 + 42*r - 216/5 = 0. What is r?
-9, 1, 12
Determine j, given that j**2/6 - 79*j/6 + 13 = 0.
1, 78
Suppose -2*s**2/13 - 290*s/13 + 588/13 = 0. Calculate s.
-147, 2
Determine f, given that -3*f**3/7 + 9*f**2/7 + 1287*f/7 - 11661/7 = 0.
-23, 13
Factor 1464100*g**2 + 58080*g + 576.
4*(605*g + 12)**2
What is m in -2*m**2/7 + 232*m/7 - 230/7 = 0?
1, 115
Factor 26*z**2/11 - 86*z/11 + 24/11.
2*(z - 3)*(13*z - 4)/11
Let -3*p**2 + 20130*p - 33768075 = 0. Calculate p.
3355
Let 35*s**5 + 95*s**4 + 5*s**3 - 115*s**2 - 40*s + 20 = 0. Calculate s.
-2, -1, 2/7, 1
Factor -50*t**3 - 2295*t**2 + 5030*t - 480.
-5*(t - 2)*(t + 48)*(10*t - 1)
Solve 125*f**5 + 2650*f**4 - 12055*f**3 - 4160*f**2 + 8420*f - 2000 = 0 for f.
-25, -1, 2/5, 4
Factor 3*q**4 - 69*q**3 - 681*q**2 - 1899*q - 1674.
3*(q - 31)*(q + 2)*(q + 3)**2
Suppose 700*k**2/3 + 307*k/3 + 1 = 0. What is k?
-3/7, -1/100
Factor -3*j**2 - 12*j + 96.
-3*(j - 4)*(j + 8)
Let -5*t**2 - 30*t + 35 = 0. Calculate t.
-7, 1
Suppose -5*n**5 - 10*n**4 + 75*n**3 = 0. What is n?
-5, 0, 3
Factor -75*d**3 + 390*d**2 - 57*d - 90.
-3*(d - 5)*(5*d - 3)*(5*d + 2)
Factor 2*z**4 + 4*z**3 - 4*z - 2.
2*(z - 1)*(z + 1)**3
Factor -2*f**2/9 + 52*f/9 - 70/3.
-2*(f - 21)*(f - 5)/9
Factor -p**3/6 - p**2/3 + 5*p/2.
-p*(p - 3)*(p + 5)/6
Determine j so that -4*j**4/5 - 132*j**3/5 - 252*j**2 - 540*j = 0.
-15, -3, 0
Let 3*g**5/2 + 339*g**4/2 - 351*g**3 - 687*g**2 + 699*g/2 + 1035/2 = 0. Calculate g.
-115, -1, 1, 3
Determine l so that 3*l**5 + 26*l**4 - 39*l**3 + 10*l**2 = 0.
-10, 0, 1/3, 1
Factor 2*l**2/5 + 412*l/5 + 1616/5.
2*(l + 4)*(l + 202)/5
Factor -3*t**4 + 189*t**3 - 1026*t**2.
-3*t**2*(t - 57)*(t - 6)
Determine x so that -7*x**4/3 - 47*x**3/3 - 70*x**2/3 + 8*x = 0.
-4, -3, 0, 2/7
Determine q, given that -3*q**5/7 + 66*q**4/7 + 849*q**3/7 + 3372*q**2/7 + 5652*q/7 + 3456/7 = 0.
-3, -2, 32
What is k in 3*k**4/2 - 15*k**3 + 87*k**2/2 - 48*k + 18 = 0?
1, 2, 6
Let -2*r**4/7 - 20*r**3/7 - 24*r**2/7 + 144*r/7 = 0. What is r?
-6, 0, 2
Factor -2*v**3 - 258*v**2 - 9150*v - 52094.
-2*(v + 7)*(v + 61)**2
Solve -5*t**4 + 375*t**3 - 7875*t**2 + 30625*t = 0 for t.
0, 5, 35
Find l such that -2*l**3/11 - 476*l**2/11 - 938*l/11 + 1416/11 = 0.
-236, -3, 1
Find g, given that 5*g**5 - 85*g**4 + 215*g**3 + 1205*g**2 + 1400*g + 500 = 0.
-1, 10
Factor -5*v**4 - 15*v**3 + 90*v**2.
-5*v**2*(v - 3)*(v + 6)
