
-1, 0, 4/7, 3
Find h, given that 15*h**3 + 144*h**2 + 180*h - 96 = 0.
-8, -2, 2/5
Suppose o**4/4 + 149*o**3/4 - 269*o**2 + 621*o - 468 = 0. What is o?
-156, 2, 3
Determine f, given that -5*f**5 - 205*f**4 - 390*f**3 = 0.
-39, -2, 0
What is i in i**2/3 - 182*i/3 + 1080 = 0?
20, 162
Factor v**5/5 - 4*v**4/5 - 7*v**3/5 + 2*v**2.
v**2*(v - 5)*(v - 1)*(v + 2)/5
Suppose 2*b**4/3 + 136*b**3/3 - 142*b**2 = 0. Calculate b.
-71, 0, 3
Factor -2*g**4 - 18*g**3 + 42*g**2 + 490*g.
-2*g*(g - 5)*(g + 7)**2
Determine f, given that -20*f**4 + 68*f**3 - 52*f**2 - 20*f + 24 = 0.
-3/5, 1, 2
Let -l**4/4 + 53*l**3 - 3672*l**2 + 77760*l + 373248 = 0. Calculate l.
-4, 72
Factor -2*n**3 - 984*n**2 - 982*n.
-2*n*(n + 1)*(n + 491)
Factor -34*q**2 + 2216*q - 390.
-2*(q - 65)*(17*q - 3)
Determine r, given that 3*r**4 - 66*r**2 - 72*r + 135 = 0.
-3, 1, 5
Find x, given that 2*x**4/11 + 16*x**3/11 = 0.
-8, 0
Factor 21*k**4 - 69*k**3 + 18*k**2 + 84*k - 24.
3*(k - 2)**2*(k + 1)*(7*k - 2)
Find g such that g**4 + 2*g**3 - 2*g - 1 = 0.
-1, 1
Determine o, given that -15*o**2 - 279*o + 114 = 0.
-19, 2/5
Factor -g**3/10 + 4*g**2/5 - 6*g/5.
-g*(g - 6)*(g - 2)/10
Determine j so that 2*j**5/9 - 20*j**4/9 - 22*j**3/9 + 184*j**2/9 + 344*j/9 + 160/9 = 0.
-2, -1, 4, 10
Factor 2*r**2 + 22*r + 20.
2*(r + 1)*(r + 10)
Let -4*o**4 + 44*o**3 - 40*o**2 = 0. Calculate o.
0, 1, 10
Suppose 5*n**2/2 - 8740*n + 7638760 = 0. What is n?
1748
Factor 2*r**2/9 + 10*r/9.
2*r*(r + 5)/9
Suppose -2*g**2/7 + 4*g/7 + 6/7 = 0. Calculate g.
-1, 3
Suppose -2*a**3/9 + 80*a**2/3 - 472*a/9 = 0. Calculate a.
0, 2, 118
Determine n, given that 2*n**2 + 1076*n + 144722 = 0.
-269
Factor -2*p**2/5 + 8248*p/5 - 8503688/5.
-2*(p - 2062)**2/5
Solve 5*o**2 + 30*o - 455 = 0.
-13, 7
Factor -4*h**2 - 26912*h - 45265984.
-4*(h + 3364)**2
Factor 2*y**3/19 + 592*y**2/19 + 43808*y/19.
2*y*(y + 148)**2/19
Factor -o**3/4 - 115*o**2/4 - 812*o + 841.
-(o - 1)*(o + 58)**2/4
Factor -3*x**5/7 - 6*x**4 - 75*x**3/7 - 36*x**2/7.
-3*x**2*(x + 1)**2*(x + 12)/7
Factor -5*a**4 - 3485*a**3 - 810840*a**2 - 63243200*a - 62435840.
-5*(a + 1)*(a + 232)**3
Factor q**4/2 - 105*q**3/2 + 207*q**2/2 - 103*q/2.
q*(q - 103)*(q - 1)**2/2
Factor -3*w**2/2 - 588*w - 57624.
-3*(w + 196)**2/2
Solve -c**3/9 - 55*c**2/9 = 0.
-55, 0
Suppose -v**4 - 32*v**3 - 156*v**2 + 32*v + 832 = 0. What is v?
-26, -4, 2
Solve c**3/4 - c**2/2 - 2*c = 0 for c.
-2, 0, 4
Suppose 2*n**3 - 94*n**2 + 812*n - 720 = 0. Calculate n.
1, 10, 36
Factor n**3/3 + 4*n**2/3 - 37*n/3 - 40/3.
(n - 5)*(n + 1)*(n + 8)/3
Suppose -3*p**5 - 15*p**4 - 9*p**3 + 39*p**2 + 24*p - 36 = 0. Calculate p.
-3, -2, 1
Factor 2*g**5/3 - 94*g**4/3 - 32*g**3.
2*g**3*(g - 48)*(g + 1)/3
What is j in -j**3/4 + 55*j**2/4 - 107*j/4 + 53/4 = 0?
1, 53
Determine u, given that 2*u**3/13 - 96*u**2/13 + 1536*u/13 - 8192/13 = 0.
16
Let 2*c**3 + 104*c**2/9 + 22*c/3 - 20/9 = 0. Calculate c.
-5, -1, 2/9
Let -8*p**2/5 - 48938*p/5 - 12234/5 = 0. Calculate p.
-6117, -1/4
Suppose -4*n**2 + 120*n = 0. What is n?
0, 30
Find b such that 10*b**4 + 155*b**3 + 610*b**2 + 555*b - 450 = 0.
-10, -3, 1/2
Factor -s**5/7 + 2*s**4/7 + 114*s**3/7 + 648*s**2/7 + 1431*s/7 + 162.
-(s - 14)*(s + 3)**4/7
Factor v**3/10 - 3*v**2/5 - 7*v/10.
v*(v - 7)*(v + 1)/10
Determine q, given that -3*q**5/5 + 11*q**4/5 + 13*q**3/5 - 27*q**2/5 - 34*q/5 - 8/5 = 0.
-1, -1/3, 2, 4
What is n in -15*n**4 + 550*n**3 + 765*n**2 - 180*n - 380 = 0?
-1, 2/3, 38
Factor -p**5/6 - 63*p**4 - 251*p**3/2 - 188*p**2/3.
-p**2*(p + 1)**2*(p + 376)/6
Factor 2*j**3 + 3*j**2 - 2*j - 3.
(j - 1)*(j + 1)*(2*j + 3)
Factor -4*m**2 + 180*m - 1064.
-4*(m - 38)*(m - 7)
Factor -f**5/11 - 13*f**4/11 + 30*f**3/11.
-f**3*(f - 2)*(f + 15)/11
Factor 2*d**4 - 52*d**3 + 144*d**2 - 140*d + 46.
2*(d - 23)*(d - 1)**3
Solve 5*c**5/2 + 123*c**4/2 + 505*c**3 + 1668*c**2 + 1648*c - 960 = 0 for c.
-12, -5, -4, 2/5
Let -2*o**2/3 - 38*o/3 - 12 = 0. What is o?
-18, -1
Suppose 11*a**3 + 24*a**2 + 15*a + 2 = 0. What is a?
-1, -2/11
Suppose -w**3/2 + 118*w**2 - 234*w = 0. What is w?
0, 2, 234
Let 648*p**5 + 972*p**4 - 5778*p**3 + 2697*p**2 - 438*p + 24 = 0. Calculate p.
-4, 1/6, 2
What is s in s**2 + s - 210 = 0?
-15, 14
Factor u**5 - 37*u**4 + 283*u**3 + 1081*u**2 + 1160*u + 400.
(u - 20)**2*(u + 1)**3
Factor 5*l**2 - 110*l + 200.
5*(l - 20)*(l - 2)
Let 13*m**4 - 160*m**3/3 - 13*m**2/3 + 110*m/3 + 8 = 0. Calculate m.
-2/3, -3/13, 1, 4
Find k such that -2*k**5/15 + 4*k**4/5 - 4*k**3/15 - 32*k**2/15 + 2*k/5 + 4/3 = 0.
-1, 1, 2, 5
Factor 32*g**3/3 - 656*g**2/3 - 334*g/3 - 14.
2*(g - 21)*(4*g + 1)**2/3
Factor -2*t**4 + 72*t**3 - 854*t**2 + 3528*t - 2744.
-2*(t - 14)**2*(t - 7)*(t - 1)
Determine g so that g**3 + 37*g**2 + 36*g = 0.
-36, -1, 0
Suppose -q**2/3 + 74*q/3 - 280 = 0. What is q?
14, 60
Factor -5*n**2 + 25*n - 20.
-5*(n - 4)*(n - 1)
Find h, given that 2*h**2 + 6*h + 4 = 0.
-2, -1
Let -5*v**3/4 + 35*v/4 + 15/2 = 0. Calculate v.
-2, -1, 3
Find d such that -12*d**3/7 - 3*d**2 - 6*d/7 + 3/7 = 0.
-1, 1/4
What is j in 5*j**3/3 - 103*j**2/3 - 152*j/3 - 44/3 = 0?
-1, -2/5, 22
Factor -s**2/10 + 1471*s/5 - 2163841/10.
-(s - 1471)**2/10
Find o such that 2*o**3 - 178*o**2 - 736*o - 744 = 0.
-2, 93
Suppose 3*s**3 + 10875*s**2 + 9850029*s - 9860907 = 0. Calculate s.
-1813, 1
Solve 4*t**4 - 20*t**3 - 12*t**2 + 68*t - 40 = 0 for t.
-2, 1, 5
Factor 2*a**4 - 2*a**3 - 66*a**2 - 126*a.
2*a*(a - 7)*(a + 3)**2
Let -v**4/4 + 11*v**3/4 + 81*v**2/4 - 11*v/4 - 20 = 0. Calculate v.
-5, -1, 1, 16
Let -5*v**3/3 + 410*v**2/3 = 0. What is v?
0, 82
Let 2*t**2/11 + 134*t/11 - 276/11 = 0. What is t?
-69, 2
Factor x**5/8 + 57*x**4/4 + 1053*x**3/2 + 22815*x**2/4 - 177957*x/8.
x*(x - 3)*(x + 39)**3/8
What is l in -l**5/2 - 51*l**4/2 + 3*l**3/2 + 155*l**2/2 + 51*l = 0?
-51, -1, 0, 2
Suppose 245*z**5 - 70*z**4 - 905*z**3 - 290*z**2 + 660*z + 360 = 0. What is z?
-1, -6/7, 1, 2
Factor n**5/8 + 3*n**4/4 + 5*n**3/8.
n**3*(n + 1)*(n + 5)/8
Factor -4*k**3 - 1015*k**2 - 64262*k + 16129.
-(k + 127)**2*(4*k - 1)
Determine p so that -p**5/5 + 74*p**4/5 - 1366*p**3/5 - 44*p**2 + 3959*p/5 + 2738/5 = 0.
-1, 2, 37
Factor 3*u**3 + 57*u**2 + 54*u.
3*u*(u + 1)*(u + 18)
Factor -3*s**4 - 17*s**3/5 - 2*s**2/5.
-s**2*(s + 1)*(15*s + 2)/5
Let -2*j**2/7 - 2064*j/7 - 532512/7 = 0. Calculate j.
-516
Let -2*f**2/3 + 104*f/3 + 826/3 = 0. What is f?
-7, 59
Let 3*h**5 - 39*h**3 + 48*h**2 + 36*h - 48 = 0. Calculate h.
-4, -1, 1, 2
Solve -a**3/2 + 48*a**2 - 1536*a + 16384 = 0 for a.
32
Find h, given that 2*h**3/11 + 82*h**2/11 - 24*h = 0.
-44, 0, 3
Let -15*d**4 + 186*d**3 + 123*d**2 - 78*d = 0. What is d?
-1, 0, 2/5, 13
Let -32*g**3/11 + 240*g**2/11 - 306*g/11 + 108/11 = 0. Calculate g.
3/4, 6
Factor r**4/8 - r**3 - 3*r**2/2 + 10*r + 16.
(r - 8)*(r - 4)*(r + 2)**2/8
Factor 5*p**3 - 65*p**2 - 760*p - 1680.
5*(p - 21)*(p + 4)**2
Factor -4*b**5 + 28*b**4 - 44*b**3 + 20*b**2.
-4*b**2*(b - 5)*(b - 1)**2
Determine g, given that -g**2/3 - 229*g/3 - 1768/3 = 0.
-221, -8
Factor -5*s**3 + 165*s**2 - 600*s + 580.
-5*(s - 29)*(s - 2)**2
Factor 2*q**5/7 - 6*q**3/7 - 4*q**2/7.
2*q**2*(q - 2)*(q + 1)**2/7
Determine m so that -2*m**3/9 + 26*m**2/9 - 80*m/9 + 8 = 0.
2, 9
Solve -y**5/3 - 4*y**4/3 + 8*y**3/3 + 14*y**2/3 - 7*y/3 - 10/3 = 0 for y.
-5, -1, 1, 2
Suppose -2*f**4/9 + 4*f**3/3 + 70*f**2/9 + 32*f/3 + 40/9 = 0. Calculate f.
-2, -1, 10
Suppose 2*v**5/5 + 102*v**4/5 + 472*v**3/5 + 552*v**2/5 = 0. Calculate v.
-46, -3, -2, 0
Factor 27*r**2 + 402*r - 45.
3*(r + 15)*(9*r - 1)
Find h, given that 3*h**2 + 6*h - 105 = 0.
-7, 5
Let -2*q**5/3 + 10*q**4/3 + 94*q**3/3 - 722*q**2/3 + 1420*q/3 - 800/3 = 0. Calculate q.
-8, 1, 2, 5
Find w such that w**2/5 - 154*w/5 + 5929/5 = 0.
77
Factor 5*s**5 - 3*s**4 - 12*s**3 - 4*s**2.
s**2*(s - 2)*(s + 1)*(5*s + 2)
Factor 46*i**2/9 - 142*i/9 + 4/3.
2*(i - 3)*(23*i - 2)/9
What is k in 4*k**5/17 + 6*k**4/17 - 80*k**3/17 + 150*k**2/17 - 104*k/17 + 24/17 = 0?
-6, 1/2, 1, 2
Solve -5*a**2 - 740*a - 735 = 0 for a.
-147, -1
Factor 5*a**4 - 220*a**3 - 935*a**2 - 1190*a - 480.
5*(a - 48)*(a + 1)**2*(a + 2)
Factor 30*c**3 - 1705*c**2 + 1395*c + 280.
5*(c - 56)*(c - 1)*(6*c + 1)
Factor d**2 - 181*d - 930.
(d - 186)*(d + 5)
Determine y so that 2*y**4/3 - 32*y**3/3 + 52*y**2 - 224*y/3 + 98/3 = 0.
1, 7
Factor -b**5 + 3*b**4 + 10*b**3 + 2*b**2 - 9*b - 5.
-(b - 5)*(b - 1)*(b + 1)**3
F