r -p**4/3 - 2*p**3 + p**2/3 + 2*p.
-p*(p - 1)*(p + 1)*(p + 6)/3
Factor -z**4/3 - 49*z**3/3 - 47*z**2/3 + 49*z/3 + 16.
-(z - 1)*(z + 1)**2*(z + 48)/3
Solve 4*y**5 - 72*y**4 - 424*y**3 - 800*y**2 - 636*y - 184 = 0.
-2, -1, 23
Determine k so that 2*k**3 - 4*k**2 - 6*k = 0.
-1, 0, 3
Suppose -g**4/4 + 25*g**2/2 - 49/4 = 0. What is g?
-7, -1, 1, 7
Find b, given that -5*b**2 = 0.
0
Suppose -2*c**4 + 1008*c**3 - 1004*c**2 - 1008*c + 1006 = 0. Calculate c.
-1, 1, 503
Suppose 196*p**3 - 1904*p**2 + 4624*p = 0. What is p?
0, 34/7
Factor -v**4/9 + 2*v**3/3 - 8*v**2/9 - 2*v/3 + 1.
-(v - 3)**2*(v - 1)*(v + 1)/9
Factor -6*c**3/5 + 4*c**2 - 6*c/5.
-2*c*(c - 3)*(3*c - 1)/5
Find f, given that 5*f**3 + 10*f**2 = 0.
-2, 0
Determine r so that -4*r**3 + 565*r**2 + 427*r - 142 = 0.
-1, 1/4, 142
Determine x, given that 4*x**4 + 40*x**3 + 92*x**2 + 56*x = 0.
-7, -2, -1, 0
Suppose 49*o**4 - 13160*o**3 + 887352*o**2 - 503840*o + 71824 = 0. What is o?
2/7, 134
Suppose f**5/3 + 5*f**4/3 - 22*f**3/3 + 16*f**2/3 = 0. Calculate f.
-8, 0, 1, 2
Factor -2*u**2 - 4018*u - 8028.
-2*(u + 2)*(u + 2007)
What is q in -324*q**5 - 2772*q**4 - 6496*q**3 - 3168*q**2 + 2496*q - 320 = 0?
-5, -2, 2/9
Determine a so that a**4/3 - a**3/3 - a**2 + 5*a/3 - 2/3 = 0.
-2, 1
Solve 2*m**2/5 + 18*m = 0 for m.
-45, 0
Factor -2*q**5/9 + 2*q**4/9 + 28*q**3/9 + 52*q**2/9 + 38*q/9 + 10/9.
-2*(q - 5)*(q + 1)**4/9
Suppose 2*d**2/13 - 214*d/13 + 212/13 = 0. What is d?
1, 106
Factor 5*v**5 - 35*v**3 - 30*v**2.
5*v**2*(v - 3)*(v + 1)*(v + 2)
Factor 3*f**2 - 300*f + 588.
3*(f - 98)*(f - 2)
What is y in -3*y**4 - 45*y**3 - 147*y**2 + 45*y + 150 = 0?
-10, -5, -1, 1
Factor m**4 - 17*m**3 - 42*m**2 + 68*m + 152.
(m - 19)*(m - 2)*(m + 2)**2
Solve 2*r**4/17 + 12*r**3/17 - 150*r**2/17 + 392*r/17 - 312/17 = 0.
-13, 2, 3
Let 225*l**5 - 590*l**4 + 300*l**3 - 40*l**2 = 0. What is l?
0, 2/9, 2/5, 2
Solve 2*q**3 + 1770*q**2 + 3534*q + 1766 = 0.
-883, -1
Determine c, given that -c**5/2 + 24*c**3 + 64*c**2 = 0.
-4, 0, 8
Suppose -2*w**4/9 - 10*w**3/3 + 2*w**2/3 + 86*w/9 - 20/3 = 0. What is w?
-15, -2, 1
Determine v, given that -20*v**5/7 + 88*v**4/7 - 132*v**3/7 + 80*v**2/7 - 16*v/7 = 0.
0, 2/5, 1, 2
Suppose d**2/9 + 1241*d/9 = 0. Calculate d.
-1241, 0
Factor -3*b**5 + 12*b**3 - 6*b**2 - 9*b + 6.
-3*(b - 1)**3*(b + 1)*(b + 2)
Factor o**3/7 - 6*o**2/7.
o**2*(o - 6)/7
What is m in 2*m**4/5 + 28*m**3/5 + 48*m**2/5 = 0?
-12, -2, 0
Factor -2*b**3/9 - 32*b**2/9 - 58*b/9 - 28/9.
-2*(b + 1)**2*(b + 14)/9
Determine d, given that 169*d**5/6 - 7397*d**4/2 + 14393*d**3/3 - 1214*d**2 + 260*d/3 = 0.
0, 2/13, 1, 130
Find j, given that -4*j**2/3 + 32*j - 92/3 = 0.
1, 23
Factor 3*y**5 + 27*y**4 - 66*y**3 + 6*y**2 + 63*y - 33.
3*(y - 1)**3*(y + 1)*(y + 11)
What is o in o**2/4 - 7*o + 49 = 0?
14
Factor 4*w**2 - 84*w.
4*w*(w - 21)
Solve 5*l**2 - 55*l - 60 = 0.
-1, 12
What is w in -3*w**2/8 + 45*w/8 = 0?
0, 15
Solve 2*b**2 - 32*b + 30 = 0 for b.
1, 15
Factor 4*t**5/7 - 1552*t**4/7 + 196480*t**3/7 - 7552512*t**2/7 - 10036224*t - 147197952/7.
4*(t - 132)**3*(t + 4)**2/7
Factor -8*v**5/7 + 64*v**4/7 - 146*v**3/7 + 18*v**2/7 + 162*v/7 + 54/7.
-2*(v - 3)**3*(2*v + 1)**2/7
Factor 12*g**3 + 525*g**2 + 1344*g - 369.
3*(g + 3)*(g + 41)*(4*g - 1)
Factor -44*b**2/3 + 1492*b/3 + 512.
-4*(b + 1)*(11*b - 384)/3
Determine c, given that -c**3/2 + 9*c**2/2 + c/2 - 9/2 = 0.
-1, 1, 9
Factor 3*p**4 + 375*p**3 + 13266*p**2 + 95700*p + 141288.
3*(p + 2)*(p + 7)*(p + 58)**2
Factor 4*n**4 - 228*n**2 + 784*n - 720.
4*(n - 5)*(n - 2)**2*(n + 9)
Solve c**3/11 + 1097*c**2/11 + 27400*c + 300304/11 = 0.
-548, -1
Determine w so that -2*w**4 - 386*w**3 - 20566*w**2 - 182182*w = 0.
-91, -11, 0
Factor w**2 - 15*w + 50.
(w - 10)*(w - 5)
Factor -4*o**2 - 552*o - 19044.
-4*(o + 69)**2
Solve -2*f**5/7 + 16*f**4/7 - 36*f**3/7 + 8*f**2/7 + 38*f/7 - 24/7 = 0 for f.
-1, 1, 3, 4
Let -a**5/4 + 3*a**4/2 - 13*a**3/4 + 3*a**2 - a = 0. Calculate a.
0, 1, 2
Suppose -2*r**4 + 10*r**3 + 26*r**2 + 14*r = 0. What is r?
-1, 0, 7
Factor -5*h**5/4 + 45*h**4/2 - 485*h**3/4 + 180*h**2 - 80*h.
-5*h*(h - 8)**2*(h - 1)**2/4
Factor -8*l**2 + 19564*l + 9784.
-4*(l - 2446)*(2*l + 1)
Suppose -14*y**3/15 - 2*y**2/5 + 14*y/15 + 2/5 = 0. Calculate y.
-1, -3/7, 1
Factor -4*i**2/3 + 52*i/3 + 40.
-4*(i - 15)*(i + 2)/3
Factor -9*a**3/4 - 89*a**2/2 - 131*a/4 + 19/2.
-(a + 1)*(a + 19)*(9*a - 2)/4
Determine z, given that -4*z**5 - 20*z**4 + 92*z**3 + 388*z**2 - 520*z - 800 = 0.
-5, -1, 2, 4
Let -5*f**5 - 20*f**4 + 60*f**3 - 10*f**2 - 55*f + 30 = 0. Calculate f.
-6, -1, 1
Find m such that m**4 + 4*m**3 - 73*m**2 + 56*m + 132 = 0.
-11, -1, 2, 6
Solve 2*z**5/19 + 44*z**4/19 - 246*z**3/19 - 896*z**2/19 + 2344*z/19 - 1248/19 = 0 for z.
-26, -4, 1, 6
Factor -3*n**3/2 + 825*n**2/2 - 1632*n + 1626.
-3*(n - 271)*(n - 2)**2/2
Let -7*q**4 - 261*q**3 + 192*q**2 + 76*q = 0. Calculate q.
-38, -2/7, 0, 1
Factor 3*f**3/2 - 3*f**2/2 - 18*f.
3*f*(f - 4)*(f + 3)/2
Factor -22*z**2/17 - 84*z/17 + 16/17.
-2*(z + 4)*(11*z - 2)/17
What is u in -u**2/6 - 784*u/3 - 307328/3 = 0?
-784
Solve 2*z**4/5 - 172*z**3/5 + 3696*z**2/5 + 172*z/5 - 3698/5 = 0.
-1, 1, 43
Find r such that r**4/2 - 5*r**3/2 - r**2/2 + 5*r/2 = 0.
-1, 0, 1, 5
Determine p so that 4*p**3 - 2448*p**2 + 499392*p - 33958656 = 0.
204
Factor -5*y**2 + 1805.
-5*(y - 19)*(y + 19)
Factor -2*s**2 - 100*s - 98.
-2*(s + 1)*(s + 49)
Factor -3*c**4 + 54*c**3 + 741*c**2 + 2664*c + 3024.
-3*(c - 28)*(c + 3)**2*(c + 4)
Determine r so that 3*r**4 + 15*r**3 + 18*r**2 = 0.
-3, -2, 0
Determine i, given that -i**3/4 + i**2/4 + 5*i/2 + 2 = 0.
-2, -1, 4
Factor -4*n**2 + 1272*n - 101124.
-4*(n - 159)**2
Factor v**4/2 - v**3/2 - 5*v**2/2 - 3*v/2.
v*(v - 3)*(v + 1)**2/2
Factor 2*k**2/5 - 712*k/5 + 63368/5.
2*(k - 178)**2/5
Factor 6*q**2 + 51*q - 90.
3*(q + 10)*(2*q - 3)
Let -4*y**2/5 + 89*y/5 - 21 = 0. Calculate y.
5/4, 21
What is d in -2*d**5 + 22*d**4 + 24*d**3 - 512*d**2 - 512*d = 0?
-4, -1, 0, 8
Factor 4*p**2 - 3504*p + 767376.
4*(p - 438)**2
Factor h**2/4 - 23*h/2 + 120.
(h - 30)*(h - 16)/4
Let -5*z**4 + 25*z**3 + 15*z**2 - 65*z - 50 = 0. Calculate z.
-1, 2, 5
Find o such that -686*o**3 - 1862*o**2 - 1568*o - 384 = 0.
-8/7, -3/7
Determine n, given that -9*n**2 + 8674*n + 1928 = 0.
-2/9, 964
Find d, given that d**2/9 + 7*d/3 + 38/9 = 0.
-19, -2
Let 2*c**4/11 - 6*c**3 - 70*c**2/11 + 6*c + 68/11 = 0. Calculate c.
-1, 1, 34
Let 5*q**3 - 35*q**2 - 40*q = 0. What is q?
-1, 0, 8
Find m, given that 4*m**3 - 36*m**2 - 468*m + 1620 = 0.
-9, 3, 15
Solve -3*v**4/2 - 19*v**3 - 159*v**2/2 - 126*v - 54 = 0 for v.
-6, -3, -2/3
Factor -p**2 - 6530*p - 10660225.
-(p + 3265)**2
Suppose -3*w**5 + 9*w**4 - 12*w**2 = 0. What is w?
-1, 0, 2
Let 2*k**3/9 - 76*k**2/9 + 560*k/9 = 0. What is k?
0, 10, 28
Let -2*v**3 - 44*v**2 + 3528*v - 37584 = 0. What is v?
-58, 18
Factor 2*q**3/5 - 18*q**2/5 + 8*q - 24/5.
2*(q - 6)*(q - 2)*(q - 1)/5
Solve 6*j**2/5 + 2*j + 4/5 = 0.
-1, -2/3
Solve 4*u**4/5 - 24*u**3/5 + 48*u**2/5 - 32*u/5 = 0 for u.
0, 2
Determine n so that 35*n**5 - 955*n**4 + 1985*n**3 + 455*n**2 - 2020*n + 500 = 0.
-1, 2/7, 1, 2, 25
Let h**5 - 9*h**4 - 34*h**3 + 114*h**2 + 225*h - 297 = 0. What is h?
-3, 1, 3, 11
Determine t, given that 2*t**5/5 + 64*t**4/5 + 586*t**3/5 + 1772*t**2/5 + 312*t/5 - 2736/5 = 0.
-19, -6, -2, 1
What is w in w**5/5 - w**4/5 - 3*w**3/5 + w**2/5 + 2*w/5 = 0?
-1, 0, 1, 2
Factor 4*u**2/7 + 2232*u/7 - 2236/7.
4*(u - 1)*(u + 559)/7
Find t, given that -3*t**5 - 30*t**4 + 111*t**3 - 78*t**2 = 0.
-13, 0, 1, 2
Suppose 4*a**3 + 112*a**2 + 704*a + 1280 = 0. Calculate a.
-20, -4
Let -y**4/8 - 11*y**3/8 + 25*y**2/8 - 13*y/8 = 0. Calculate y.
-13, 0, 1
Solve 2*m**5 + 8*m**4 - 88*m**3 - 192*m**2 + 1152*m = 0 for m.
-6, 0, 4
Suppose -2*z**2 + 90*z - 88 = 0. Calculate z.
1, 44
Factor 2*l**2/5 - 4*l/5 - 286/5.
2*(l - 13)*(l + 11)/5
Suppose 55*o**2/2 - 265*o/2 - 25 = 0. What is o?
-2/11, 5
Let 4*u**4/3 + 28*u**3/3 + 52*u**2/3 - 4*u - 24 = 0. Calculate u.
-3, -2, 1
Let -p**3/2 - 15*p**2 - 297*p/2 - 484 = 0. Calculate p.
-11, -8
What is t in -t**4 - 14*t**3 + 15*t**2 = 0?
-15, 0, 1
Factor -4*t**3/3 + 20*t**2.
-4*t**2*(t - 15)/3
Determine p so that 2*p**5/7 + 16*p**4/7 - 4*p**3/7 - 32*p**2/7 + 2*p/7 + 16/7 = 0.
-8, -1, 1
Find g, given that 4*g**4 + 36*g**3 + 88*g**2 - 128 = 0.
-4, -2, 1
Let -2*y**4 - 3*y**3 + 7*y**2 