u**4 + 75*u**3 - 395*u**2 + 825*u - 500.
-5*(u - 5)**2*(u - 4)*(u - 1)
Factor 3*u**4 - 54*u**3 + 351*u**2 - 972*u + 972.
3*(u - 6)**2*(u - 3)**2
Find q such that -q**3/4 + q**2/4 + q - 1 = 0.
-2, 1, 2
Determine u so that u**5/10 + u**4/5 + u**3/10 = 0.
-1, 0
Find p, given that 3*p**5 + 153*p**4 + 867*p**3 - 29853*p**2 + 28830*p = 0.
-31, 0, 1, 10
Factor 3*v**4/4 + 387*v**3/2 + 49923*v**2/4.
3*v**2*(v + 129)**2/4
Find o, given that o**2/2 - 3*o = 0.
0, 6
Suppose 4*d**5 - 32*d**4 + 20*d**3 + 152*d**2 + 96*d = 0. Calculate d.
-1, 0, 4, 6
Determine n, given that -51*n**2 + 3*n = 0.
0, 1/17
Factor -125*r**2 - 15200*r - 462080.
-5*(5*r + 304)**2
Let -49*b**5/4 - 77*b**4/2 + 3*b**3 + 45*b**2/2 - 27*b/4 = 0. Calculate b.
-3, -1, 0, 3/7
Factor 3*n**3 + 93*n**2 - 3*n - 93.
3*(n - 1)*(n + 1)*(n + 31)
Let 25*l**3/3 + 2990*l**2/3 - 1199*l/3 + 40 = 0. Calculate l.
-120, 1/5
Find h such that 3*h**4 - 468*h**3 - 1935*h**2 + 2400*h = 0.
-5, 0, 1, 160
Determine a so that 2*a**5/11 + 10*a**4/11 + 10*a**3/11 - 10*a**2/11 - 12*a/11 = 0.
-3, -2, -1, 0, 1
Factor -i**2 - 198*i - 9801.
-(i + 99)**2
Let r**5/4 - 803*r**4/4 + 212193*r**3/4 - 17699281*r**2/4 - 99512555*r/2 = 0. Calculate r.
-10, 0, 271
Factor 2*y**3 + 14*y**2 + 22*y + 10.
2*(y + 1)**2*(y + 5)
Solve -5*s**5 + 70*s**4 - 90*s**3 - 740*s**2 - 905*s - 330 = 0 for s.
-1, 6, 11
Factor 4*u**4/9 + 4*u**3/9 - 68*u**2/9 + 20*u/3.
4*u*(u - 3)*(u - 1)*(u + 5)/9
Factor o**2 - 3*o.
o*(o - 3)
Factor 2*q**4/7 + 8*q**3/7 + 4*q**2/7 - 8*q/7 - 6/7.
2*(q - 1)*(q + 1)**2*(q + 3)/7
Let -3*v**3/4 - 27*v**2/4 - 45*v/4 - 21/4 = 0. Calculate v.
-7, -1
Solve -2*a**3 + 26*a**2 - 88*a + 64 = 0.
1, 4, 8
Factor 16*f**3 + 576*f**2 + 564*f + 140.
4*(f + 35)*(2*f + 1)**2
Factor 4*t**2 - 20*t - 24.
4*(t - 6)*(t + 1)
Solve -42*y**4/11 - 222*y**3/11 - 60*y**2/11 = 0 for y.
-5, -2/7, 0
Solve 3*j**2 - 66*j + 216 = 0 for j.
4, 18
Factor k**4/4 - 95*k**3/4 + 1103*k**2/2 + 624*k - 1152.
(k - 48)**2*(k - 1)*(k + 2)/4
Let 12*b**3 - 116*b**2 + 312*b - 160 = 0. What is b?
2/3, 4, 5
Solve -s**5/5 - 36*s**4 - 8278*s**3/5 - 3204*s**2 - 7921*s/5 = 0.
-89, -1, 0
Factor -12*u**3 + 32*u**2 - 28*u + 8.
-4*(u - 1)**2*(3*u - 2)
Factor 289*u**4/5 - 1224*u**3/5 + 1432*u**2/5 - 288*u/5 + 16/5.
(u - 2)**2*(17*u - 2)**2/5
Determine c so that 3*c**4 - 41*c**3/2 - 67*c**2/2 + 43*c + 8 = 0.
-2, -1/6, 1, 8
Suppose -15*f**5 + 100*f**4 + 435*f**3 - 1020*f**2 - 620*f + 720 = 0. What is f?
-4, -1, 2/3, 2, 9
Factor -j**2/3 + 2810*j/3.
-j*(j - 2810)/3
Solve -6*c**5/5 - 57*c**4/5 - 3*c**3/5 + 201*c**2/5 - 27*c = 0 for c.
-9, -5/2, 0, 1
What is l in 4*l**4/5 - 172*l**3/5 + 1796*l**2/5 + 172*l/5 - 360 = 0?
-1, 1, 18, 25
Find h, given that -h**3/5 - 46*h**2/5 - 89*h/5 - 44/5 = 0.
-44, -1
Factor -n**3/5 - 10*n**2 - 188*n/5 - 184/5.
-(n + 2)**2*(n + 46)/5
Find j, given that 4*j**3 - 8*j**2 - 32*j = 0.
-2, 0, 4
Factor 5*b**4 + 35*b**3 - 15*b**2 - 275*b + 250.
5*(b - 2)*(b - 1)*(b + 5)**2
Factor 2*j**4 + 6*j**3 - 18*j**2 - 46*j - 24.
2*(j - 3)*(j + 1)**2*(j + 4)
Let -4*a**4 + 56*a**3 - 256*a**2 + 456*a - 252 = 0. What is a?
1, 3, 7
Suppose 9*l**4/8 - 3243*l**3/4 - 1896*l**2 - 5421*l/4 - 2169/8 = 0. What is l?
-1, -1/3, 723
Solve -2*i**3/15 + 22*i**2 - 1210*i + 66550/3 = 0.
55
Factor 5*q**4 + 80*q**3 - 200*q**2 - 320*q + 720.
5*(q - 2)**2*(q + 2)*(q + 18)
Determine d, given that -4*d**3 - 64*d**2 - 252*d = 0.
-9, -7, 0
Find a such that 2*a**5 + 12*a**4 + 22*a**3 + 4*a**2 - 24*a - 16 = 0.
-2, -1, 1
Factor 4*t**4 - 32*t**3 + 60*t**2 + 16*t - 80.
4*(t - 5)*(t - 2)**2*(t + 1)
What is s in 2*s**4/3 + 118*s**3/3 - 40*s**2 = 0?
-60, 0, 1
Suppose -x**2/6 - 5*x/6 - 1 = 0. Calculate x.
-3, -2
Suppose 7*t**2/4 - 39*t/2 + 11/4 = 0. What is t?
1/7, 11
Find v such that 60453363*v**4/7 + 7218312*v**3/7 + 323208*v**2/7 + 6432*v/7 + 48/7 = 0.
-2/67
Factor -4*n**3 + 328*n**2 - 628*n - 960.
-4*(n - 80)*(n - 3)*(n + 1)
Factor 5*u**3 + 18*u**2 + 21*u + 8.
(u + 1)**2*(5*u + 8)
Factor j**2/5 + 97*j/5 - 98/5.
(j - 1)*(j + 98)/5
Find z, given that z**2 + 146*z - 147 = 0.
-147, 1
Factor 2*m**3 - 79*m**2/4 + 95*m/2 + 25/4.
(m - 5)**2*(8*m + 1)/4
Solve -3*b**3/7 + 99*b**2/7 - 1080*b/7 + 3900/7 = 0 for b.
10, 13
Solve -q**4/9 + 11*q**3 - 31*q**2/3 - 487*q/9 - 98/3 = 0 for q.
-1, 3, 98
Factor 2*z**2/11 + 516*z/11 + 33282/11.
2*(z + 129)**2/11
Factor o**3/2 - 638*o**2 - o/2 + 638.
(o - 1276)*(o - 1)*(o + 1)/2
Suppose t**4/3 + 38*t**3/3 - 41*t**2/3 - 26*t = 0. What is t?
-39, -1, 0, 2
What is q in 2*q**2/3 - 1082*q/3 + 360 = 0?
1, 540
Factor -2*v**2/3 - 2434*v/3 - 2432/3.
-2*(v + 1)*(v + 1216)/3
Factor -3*v**2/8 + 135*v/8 - 189/4.
-3*(v - 42)*(v - 3)/8
Find m such that -3*m**3 - 48*m**2 - 165*m + 216 = 0.
-9, -8, 1
What is r in r**4/2 - 699*r**3 - 2100*r**2 - 2101*r - 1401/2 = 0?
-1, 1401
Suppose -2*r**3/7 - 4*r**2/7 + 10*r/7 + 12/7 = 0. Calculate r.
-3, -1, 2
Suppose 455*i**4/2 + 1370*i**3 + 30*i**2 = 0. What is i?
-6, -2/91, 0
Factor -9*i**4 + 44*i**3 + 797*i**2 + 1960*i + 208.
-(i - 13)*(i + 4)**2*(9*i + 1)
Determine y, given that -12*y**5 + 212*y**4 - 660*y**3 + 620*y**2 - 48*y - 112 = 0.
-1/3, 1, 2, 14
Suppose -5*p**2 + 3230*p - 521645 = 0. What is p?
323
Find q such that q**5/7 - 8*q**4/7 - 11*q**3/7 + 18*q**2/7 = 0.
-2, 0, 1, 9
Factor 3*d**3 + 591*d**2 - 1191*d + 597.
3*(d - 1)**2*(d + 199)
Factor -3*g**3 + 78*g**2 - 69*g - 150.
-3*(g - 25)*(g - 2)*(g + 1)
Determine q so that -q**3 + 8*q**2 - 12*q = 0.
0, 2, 6
What is c in 27*c**4 + 303*c**3 - 258*c**2 - 72*c = 0?
-12, -2/9, 0, 1
Determine w, given that 75*w**4/4 - 1065*w**3/2 + 831*w**2/4 + 63*w = 0.
-1/5, 0, 3/5, 28
Factor -4*b**4 - 80*b**3 - 492*b**2 - 1136*b - 880.
-4*(b + 2)**2*(b + 5)*(b + 11)
Factor 6*h**3 - 241*h**2/5 + 368*h/5 - 12/5.
(h - 6)*(h - 2)*(30*h - 1)/5
Find s such that -2*s**2/11 + 4*s/11 - 2/11 = 0.
1
Determine t, given that 4*t**2 - 40*t + 36 = 0.
1, 9
Find p such that 110*p**3 + 1065*p**2 - 360*p - 100 = 0.
-10, -2/11, 1/2
Factor r**3/4 + 113*r**2/4 - 295*r/2.
r*(r - 5)*(r + 118)/4
Suppose 5*b**5 + 70*b**4 - 160*b**3 + 10*b**2 + 155*b - 80 = 0. What is b?
-16, -1, 1
Let -3*h**3 - 72*h**2 - 465*h - 396 = 0. Calculate h.
-12, -11, -1
Let l**2/2 + 4*l - 9/2 = 0. Calculate l.
-9, 1
Solve 2*g**2/7 - 4*g/7 - 240/7 = 0 for g.
-10, 12
Factor -3*x**3/7 + 18*x**2/7 + 3*x.
-3*x*(x - 7)*(x + 1)/7
Factor 34*f**5 - 273*f**4 + 8*f**3.
f**3*(f - 8)*(34*f - 1)
Factor -2*l**3/5 - 8*l**2/5 + 2*l.
-2*l*(l - 1)*(l + 5)/5
What is r in r**5 + 30*r**4 - 250*r**3 + 340*r**2 + 249*r - 370 = 0?
-37, -1, 1, 2, 5
Let -4*i**3 - 4*i**2 + 148*i - 140 = 0. What is i?
-7, 1, 5
Find j, given that -2*j**4/3 + 4*j**3 + 26*j**2 + 32*j/3 - 40 = 0.
-3, -2, 1, 10
Suppose 60*k**4 - 2302*k**3 + 3052*k**2 - 662*k - 148 = 0. Calculate k.
-2/15, 1/2, 1, 37
Suppose 2*t**2/5 + 4*t - 48/5 = 0. Calculate t.
-12, 2
Suppose 2*p**2/7 - 520*p + 236600 = 0. Calculate p.
910
Let 3*b**5 - 138*b**4 + 132*b**3 + 138*b**2 - 135*b = 0. What is b?
-1, 0, 1, 45
Factor 2*c**4/5 + 12*c**3/5 - 6*c**2 - 88*c/5 + 168/5.
2*(c - 2)**2*(c + 3)*(c + 7)/5
Solve -5*s**2 - 180*s - 1620 = 0.
-18
Factor -4*b**2 - 268*b - 264.
-4*(b + 1)*(b + 66)
Let -g**2/6 - 7*g/3 - 4 = 0. What is g?
-12, -2
Factor -6*y**3 + 327*y**2 + 849*y + 342.
-3*(y - 57)*(y + 2)*(2*y + 1)
Suppose 3*p**4/5 + 201*p**3/5 + 2583*p**2/5 - 26529*p/5 + 8214 = 0. What is p?
-37, 2, 5
Solve -v**3/5 - 24*v**2/5 - 84*v/5 - 16 = 0.
-20, -2
Factor -k**3/4 - 9*k**2/4 + 21*k/4 - 11/4.
-(k - 1)**2*(k + 11)/4
Factor -i**4/6 - 277*i**3/6 - 409*i**2/3 + 548*i/3.
-i*(i - 1)*(i + 4)*(i + 274)/6
Factor -n**3/9 - 103*n**2/3 - 205*n/3 - 307/9.
-(n + 1)**2*(n + 307)/9
Factor 2*o**2/5 - 2992*o/5 + 1119008/5.
2*(o - 748)**2/5
Find k, given that -2*k**4/9 - 2*k**3/3 + 8*k/9 = 0.
-2, 0, 1
What is m in m**2/4 - 78*m = 0?
0, 312
Factor -4*d**3 - 1056*d**2 - 70740*d - 137288.
-4*(d + 2)*(d + 131)**2
Factor 2*v**2/21 + 290*v/21.
2*v*(v + 145)/21
Factor 2*a**3 - 44*a**2 - 2*a + 44.
2*(a - 22)*(a - 1)*(a + 1)
Factor 2*v**2/3 - 28*v/3 + 32.
2*(v - 8)*(v - 6)/3
Determine d, given that -25*d**4 - 510*d**3 - 675*d**2 - 190*d = 0.
-19, -1, -2/5, 0
Let -14*f**5/19 + 108*f**4/19 - 206*f**3/19 - 96*f**2/19 + 328*f/19 + 96/19 = 0. What is f?
-1, -2/7, 2, 3, 4
Let 2*n**4/5 + 2*n**3 - 10*n**2 - 2*n + 48/5 = 0. What is n?
-8, -1, 1, 3
Determine x, given that -2*x**5 - 20*x**4/3 