11132*z = 0.
-23, -11, 0
Determine k so that 4*k**3 + 16*k**2 + 20*k + 8 = 0.
-2, -1
Let 2*v**5/5 - 10*v**4 + 168*v**3/5 = 0. What is v?
0, 4, 21
Determine j so that -j**5 - j**4 + 10*j**3 + 10*j**2 - 9*j - 9 = 0.
-3, -1, 1, 3
Suppose -3*g**5 + 18*g**4 + 48*g**3 + 6*g**2 - 45*g - 24 = 0. Calculate g.
-1, 1, 8
Determine m, given that -2*m**3/7 + 340*m**2/7 - 1978*m/7 + 1640/7 = 0.
1, 5, 164
Solve -u**5/2 + 820*u**4 + 1641*u**3/2 = 0.
-1, 0, 1641
Factor 5*d**3 + 10*d**2 - 1000*d + 1920.
5*(d - 12)*(d - 2)*(d + 16)
Determine a, given that 55*a**3 + 100*a**2 - 20*a = 0.
-2, 0, 2/11
Solve 8*y**3 - 66*y**2 + 112*y - 24 = 0.
1/4, 2, 6
Factor -3*h**2/4 - 12*h + 51/4.
-3*(h - 1)*(h + 17)/4
Solve -g**3/3 - 22*g**2/3 - 32*g + 96 = 0.
-12, 2
Find q such that 2*q**2/3 - 8*q - 56/3 = 0.
-2, 14
Find v, given that 4*v**2/5 - 96*v/5 + 432/5 = 0.
6, 18
Factor -r**3/8 - 2655*r**2/8 - 2349675*r/8 - 693154125/8.
-(r + 885)**3/8
Factor -f**2/4 + 265*f/4 + 476.
-(f - 272)*(f + 7)/4
Factor 6*c**3/5 - 3474*c**2/5 + 508032*c/5 - 1492992/5.
6*(c - 288)**2*(c - 3)/5
Find d such that 297*d**5/5 + 774*d**4/5 + 678*d**3/5 + 44*d**2 + 17*d/5 - 2/5 = 0.
-1, -1/3, 2/33
What is i in -2*i**4/3 + 2*i**3/3 + 2*i**2 - 2*i/3 - 4/3 = 0?
-1, 1, 2
Factor h**3/2 + 67*h**2/2 - 107*h - 140.
(h - 4)*(h + 1)*(h + 70)/2
What is v in 3*v**3/2 - 9*v**2 + 27*v/2 - 6 = 0?
1, 4
Let -5*g**4/4 - 125*g**3/4 + 205*g**2/2 - 70*g = 0. What is g?
-28, 0, 1, 2
Let 3*c**2 + 120*c + 1200 = 0. Calculate c.
-20
Factor -2*v**2/7 + 288*v/7 - 10368/7.
-2*(v - 72)**2/7
Factor -u**4/4 + 17*u**3 - 981*u**2/4 + 2025*u/2.
-u*(u - 50)*(u - 9)**2/4
Find v such that -9*v**5 - 51*v**4 - 25*v**3 + 135*v**2 - 26*v - 24 = 0.
-4, -3, -1/3, 2/3, 1
Determine n, given that -n**4/4 + 7*n**3/2 + 4*n**2 - 7*n/2 - 15/4 = 0.
-1, 1, 15
Solve -6*g**5/5 - 8*g**4 + 2974*g**3/15 - 11884*g**2/15 + 2408*g/3 - 240 = 0 for g.
-18, 2/3, 5
Suppose 3*s**3/8 + 9*s**2/2 + 105*s/8 + 9 = 0. What is s?
-8, -3, -1
Determine z so that -9*z**4 + 12*z**3 + 2*z**2 - 4*z - 1 = 0.
-1/3, 1
Suppose -2*u**4 + 38*u**3 - 198*u**2 + 378*u - 216 = 0. What is u?
1, 3, 12
Solve r**5 + 7*r**4/3 - 2*r**3 = 0 for r.
-3, 0, 2/3
Determine f, given that f**5/8 - f**4/8 - f**3/8 + f**2/8 = 0.
-1, 0, 1
Let -2*r**5/15 - 32*r**4/15 + 206*r**3/5 + 216*r**2/5 = 0. What is r?
-27, -1, 0, 12
Let y**4 + 13*y**3 + 12*y**2 = 0. Calculate y.
-12, -1, 0
Factor x**2/10 - 113*x/5 + 12769/10.
(x - 113)**2/10
Factor 9*b**4 + 21*b**3 - 18*b**2 - 36*b + 24.
3*(b - 1)*(b + 2)**2*(3*b - 2)
Let -75*h**3 + 285*h**2 - 192*h + 36 = 0. What is h?
2/5, 3
Factor -4*f**4 - 72*f**3 - 432*f**2 - 864*f.
-4*f*(f + 6)**3
Suppose 3*m**5/2 - 33*m**4/2 + 105*m**3/2 - 75*m**2/2 = 0. What is m?
0, 1, 5
Factor 2*o**3 + 20*o**2 - 46*o + 24.
2*(o - 1)**2*(o + 12)
Suppose 3*n**5 + 1281*n**4 + 136104*n**3 - 137388*n**2 = 0. What is n?
-214, 0, 1
Factor -x**5 + 19*x**4 - 55*x**3 - 363*x**2.
-x**2*(x - 11)**2*(x + 3)
Suppose 5*p**3 - 65*p**2 + 255*p - 315 = 0. What is p?
3, 7
What is b in -2*b**4/13 - 388*b**3/13 - 384*b**2/13 + 388*b/13 + 386/13 = 0?
-193, -1, 1
Let -w**4 + 10*w**3 - 37*w**2 + 60*w - 36 = 0. Calculate w.
2, 3
Factor -n**3/3 - 7*n**2/3 - 11*n/3 - 5/3.
-(n + 1)**2*(n + 5)/3
What is q in 4*q**4 + 8*q**3 = 0?
-2, 0
Suppose -2*w**4/13 + 24*w**3/13 + 44*w**2/13 - 792*w/13 - 810/13 = 0. Calculate w.
-5, -1, 9
Solve -4*m**3 - 320*m**2 - 316*m = 0 for m.
-79, -1, 0
Factor j**2/5 + 2486*j/5 + 497.
(j + 1)*(j + 2485)/5
Factor 5*x**3 - 125*x**2 + 780*x.
5*x*(x - 13)*(x - 12)
Let -6627*l**5 + 46107*l**4 - 90807*l**3 + 49089*l**2 + 2214*l + 24 = 0. What is l?
-1/47, 1, 2, 4
Let 6*w**3 + 61*w**2/2 + 2*w - 5/2 = 0. What is w?
-5, -1/3, 1/4
Determine s, given that -s**4 - 62*s**3 - 829*s**2 + 4092*s - 4356 = 0.
-33, 2
Factor -15*x**5 - 96*x**4 - 216*x**3 - 192*x**2 - 48*x.
-3*x*(x + 2)**3*(5*x + 2)
What is h in 3*h**5/2 + 30*h**4 - 3*h**3 - 60*h**2 + 3*h/2 + 30 = 0?
-20, -1, 1
Let 15*q**3 + 336*q**2 - 993*q - 450 = 0. What is q?
-25, -2/5, 3
Factor 2*d**3 - 1454*d**2 + 8670*d - 12978.
2*(d - 721)*(d - 3)**2
What is n in 4*n**3/7 - 44*n**2/7 - 472*n/7 + 1088/7 = 0?
-8, 2, 17
Factor -3*f**2/7 - 6*f + 285/7.
-3*(f - 5)*(f + 19)/7
Factor -2*t**2/11 + 224*t/11 - 40.
-2*(t - 110)*(t - 2)/11
Let -3*y**4/5 - 93*y**3 - 456*y**2/5 + 924*y/5 = 0. What is y?
-154, -2, 0, 1
Let -2*d**3/9 + 44*d**2/3 + 46*d/3 - 268/9 = 0. What is d?
-2, 1, 67
Factor b**2/8 - 9*b/8 + 1.
(b - 8)*(b - 1)/8
Factor -2*f**2/7 - 9580*f/7 - 11472050/7.
-2*(f + 2395)**2/7
Suppose 5*v**4 + 175*v**3 + 1440*v**2 - 1620*v = 0. Calculate v.
-18, 0, 1
Factor -4*w**2 + 20*w + 24.
-4*(w - 6)*(w + 1)
Let -3*q**3/7 - 9*q**2 + 3*q/7 + 9 = 0. What is q?
-21, -1, 1
Find v such that 2*v**2/3 + 10*v/3 = 0.
-5, 0
Factor -4*l**3 + 36*l**2 - 80*l + 48.
-4*(l - 6)*(l - 2)*(l - 1)
Suppose p**4/3 - 5*p**3/3 - 34*p**2/3 + 80*p/3 = 0. Calculate p.
-5, 0, 2, 8
Suppose -l**3/3 - 17*l**2 - 120*l + 2700 = 0. Calculate l.
-30, 9
Find i such that -5*i**4 + 530*i**3 - 14560*i**2 + 27040*i = 0.
0, 2, 52
Factor 14*q**3/11 + 10*q**2/11 - 32*q/11 + 8/11.
2*(q - 1)*(q + 2)*(7*q - 2)/11
Solve -j**2/2 - 2061*j/2 - 1030 = 0.
-2060, -1
Factor d**3 + 12*d**2 + 27*d.
d*(d + 3)*(d + 9)
Find y, given that 3*y**5 - 51*y**4 - 2241*y**3 + 6999*y**2 - 7086*y + 2376 = 0.
-22, 1, 36
Solve 8*s**4/11 + 38*s**3/11 + 46*s**2/11 + 10*s/11 - 6/11 = 0 for s.
-3, -1, 1/4
Factor -2*m**5/9 - 4*m**4/9 + 8*m**3/3 - 28*m**2/9 + 10*m/9.
-2*m*(m - 1)**3*(m + 5)/9
Find s, given that 3*s**2 - 114*s + 783 = 0.
9, 29
Solve 2*x**3/3 + 14*x**2/3 - 86*x - 90 = 0 for x.
-15, -1, 9
Suppose 5*d**5 - 15*d**4 - 120*d**3 - 140*d**2 = 0. What is d?
-2, 0, 7
Factor 4*f**3 + 432*f**2 + 428*f.
4*f*(f + 1)*(f + 107)
Factor 2*g**2/3 - 138*g + 820/3.
2*(g - 205)*(g - 2)/3
Factor -2*w**4/13 + 296*w**3/13 + 14784*w**2/13 + 217952*w/13 + 1042720/13.
-2*(w - 190)*(w + 14)**3/13
Factor 3*x**4/5 - 33*x**3 + 624*x**2/5 - 612*x/5.
3*x*(x - 51)*(x - 2)**2/5
Factor 3*m**3 + 1341*m**2.
3*m**2*(m + 447)
Let 2*q**2 + 430*q - 432 = 0. What is q?
-216, 1
Determine a, given that 3*a**3/4 + 2*a**2 + 3*a/4 - 1/2 = 0.
-2, -1, 1/3
Solve 147*p**3 - 9660*p**2 + 158700*p = 0.
0, 230/7
Factor -t**4/3 - 5*t**3/3 - 2*t**2.
-t**2*(t + 2)*(t + 3)/3
Determine c so that 18*c**4 - 106*c**3 - 12*c**2 = 0.
-1/9, 0, 6
Factor n**4/7 - 249*n**2/7 + 1936*n/7 - 3648/7.
(n - 8)**2*(n - 3)*(n + 19)/7
Factor -3*i**4/8 + 63*i**3/4 - 243*i**2/8 + 15*i.
-3*i*(i - 40)*(i - 1)**2/8
Factor j**4 - 3096*j**3 + 3594456*j**2 - 1854739296*j + 358892053776.
(j - 774)**4
Solve 50*j**3 - 76*j**2 - 48*j = 0 for j.
-12/25, 0, 2
Suppose -q**2/7 - 11*q/7 - 4 = 0. Calculate q.
-7, -4
Factor 2*j**5/3 - 158*j**4/3 - 652*j**3/3 - 988*j**2/3 - 662*j/3 - 166/3.
2*(j - 83)*(j + 1)**4/3
Find k, given that 3*k**2/8 + 57*k/8 + 27/4 = 0.
-18, -1
Factor -5*k**3/4 + 35*k**2/4 - 5*k - 15.
-5*(k - 6)*(k - 2)*(k + 1)/4
Factor -i**3/2 + 7*i/2 + 3.
-(i - 3)*(i + 1)*(i + 2)/2
What is n in 12*n**5 + 124*n**4 - 236*n**3 + 52*n**2 + 48*n = 0?
-12, -1/3, 0, 1
Factor 2*f**5/9 + 20*f**4/9 + 8*f**3 + 12*f**2 + 6*f.
2*f*(f + 1)*(f + 3)**3/9
Find o such that 3*o**4 + 222*o**3 + 753*o**2 - 6018*o + 5040 = 0.
-70, -8, 1, 3
Factor 4*l**2/7 - 10288*l/7 + 6615184/7.
4*(l - 1286)**2/7
Find p, given that p**4/4 - 31*p**3/2 - 71*p**2/4 + 7998*p + 66564 = 0.
-12, 43
Factor 5*u**5/3 - 670*u**4/3 + 9900*u**3 - 141750*u**2 - 151875*u.
5*u*(u - 45)**3*(u + 1)/3
Factor -2*q**2/5 + 22*q + 112/5.
-2*(q - 56)*(q + 1)/5
Factor 3*b**2 - 24*b - 144.
3*(b - 12)*(b + 4)
Factor 5*s**5 - 5*s**4 - 80*s**3 - 100*s**2.
5*s**2*(s - 5)*(s + 2)**2
Factor 4*y**2 + 204*y.
4*y*(y + 51)
Suppose b**4 + 8*b**3 + 3*b**2 - 32*b - 28 = 0. What is b?
-7, -2, -1, 2
Factor s**3/6 + 29*s**2/3 - 119*s/6 + 10.
(s - 1)**2*(s + 60)/6
Solve -4*m**2 - 36*m = 0.
-9, 0
Let 3*w**5 - 3*w**4 - 3*w**3 + 3*w**2 = 0. What is w?
-1, 0, 1
Determine n, given that -3*n**4 - 129*n**3 + 2385*n**2 - 12675*n + 21750 = 0.
-58, 5
Solve h**2 - 31*h - 32 = 0.
-1, 32
Suppose 2*o**3/7 + 12*o**2/7 = 0. What is o?
-6, 0
Let -l**2/3 + 26*l/3 + 29 = 0. What is l?
-3, 29
Determine s, given that s**2 - 668*s + 111556 = 0.
334
Factor -3*q**3 + 204*q**2 - 1143*q + 1674.
-3*(q - 62)*(q - 3)**2
Find s, given that -5*s**5 + 845*s**4 + 850*s**3 = 0.
-1, 0, 170
Factor -y**5 - 3*y**4 + 9*y**3 - 5*y*