0 for k.
-25, -23, 0, 1
Factor -s**3/4 + 3*s**2/4.
-s**2*(s - 3)/4
Factor 5*q**3 - 415*q**2 - 4070*q - 6440.
5*(q - 92)*(q + 2)*(q + 7)
Factor -u**3 + 3*u**2 - 3*u + 1.
-(u - 1)**3
Suppose -4*q**2 + 912*q - 51984 = 0. What is q?
114
Determine z so that -6*z**2/11 - 362*z/11 - 120/11 = 0.
-60, -1/3
Factor 5*y**3 - 2355*y**2 + 4675*y + 7035.
5*(y - 469)*(y - 3)*(y + 1)
Determine o, given that -4*o**3 + 48*o - 64 = 0.
-4, 2
Find b such that 2*b**5 - 12*b**4 + 18*b**3 - 8*b**2 = 0.
0, 1, 4
Factor -2*i**2/7 + 368*i/7 - 16928/7.
-2*(i - 92)**2/7
Factor -a**2/7 + 1817*a/7.
-a*(a - 1817)/7
Factor 3*g**4/7 - 3*g**3/7 - 24*g**2/7 + 36*g/7.
3*g*(g - 2)**2*(g + 3)/7
Factor -4*d**3 + 5072*d**2.
-4*d**2*(d - 1268)
Find m such that 3*m**4 - 153*m**2 - 294*m - 144 = 0.
-6, -1, 8
Determine m so that 3*m**3 + 18*m**2 - 288*m + 672 = 0.
-14, 4
Solve 2*b**4/3 - 10*b**3/3 - 50*b**2 + 1250*b/3 - 2500/3 = 0 for b.
-10, 5
Find v such that -4*v**4/9 + 292*v**3/9 - 7256*v**2/9 + 65648*v/9 - 11616 = 0.
2, 22, 27
Find w such that -9*w**4/5 - 38*w**3/5 - 7*w**2 - 6*w/5 = 0.
-3, -1, -2/9, 0
Suppose g**2/4 - 57*g/4 - 29/2 = 0. What is g?
-1, 58
Factor 3*j**4 - 3*j**3 - 3*j**2 + 3*j.
3*j*(j - 1)**2*(j + 1)
Factor 4*t**4 + 32*t**3 - 44*t**2 - 72*t.
4*t*(t - 2)*(t + 1)*(t + 9)
Factor 3*q**3 - 21*q**2 + 48*q - 36.
3*(q - 3)*(q - 2)**2
What is m in -2*m**3/7 - 4*m**2 + 34*m/7 + 60/7 = 0?
-15, -1, 2
Determine v so that 4*v**3/7 - 128*v**2/7 - 4*v/7 + 128/7 = 0.
-1, 1, 32
Solve y**3 - 23*y**2 + 175*y - 441 = 0.
7, 9
Find p, given that p**4/8 - 59*p**3/8 + 29*p**2/4 = 0.
0, 1, 58
Factor -3*y**5 - 39*y**4 - 144*y**3 - 108*y**2.
-3*y**2*(y + 1)*(y + 6)**2
Suppose 39*t**4/5 + 98*t**3/5 + 23*t**2/5 - 32*t/5 + 4/5 = 0. Calculate t.
-2, -1, 2/13, 1/3
Determine m so that -2*m**4/5 + 2*m**3/5 + 8*m**2/5 - 8*m/5 = 0.
-2, 0, 1, 2
Determine f so that 14*f**5 + 18*f**4 + 4*f**3 = 0.
-1, -2/7, 0
Factor z**2 - 290*z - 291.
(z - 291)*(z + 1)
Find a, given that -8*a**5/7 + 54*a**4/7 - 106*a**3/7 + 74*a**2/7 - 6*a/7 - 8/7 = 0.
-1/4, 1, 4
Factor 2*d**4 - 8*d**3 - 10*d**2.
2*d**2*(d - 5)*(d + 1)
Factor -y**4/2 + 12*y**3 + 15*y**2 - 64*y + 75/2.
-(y - 25)*(y - 1)**2*(y + 3)/2
Factor 4*q**2/3 + 184*q/3 + 352/3.
4*(q + 2)*(q + 44)/3
Suppose 5*i**5/2 - 11*i**4/2 - 7*i**3/2 + 19*i**2/2 + i - 4 = 0. What is i?
-1, -4/5, 1, 2
Let -3*s**4/5 + 54*s**3/5 - 141*s**2/5 + 18*s = 0. Calculate s.
0, 1, 2, 15
Find w, given that -3*w**4/4 - 87*w**3/4 + 93*w**2/4 + 87*w/4 - 45/2 = 0.
-30, -1, 1
Let 2*o**4/7 - 12*o**3/7 + 18*o**2/7 - 8*o/7 = 0. What is o?
0, 1, 4
Determine f so that -3*f**5 - 63*f**4 + 72*f**3 + 132*f**2 = 0.
-22, -1, 0, 2
Factor 3*n**2/8 - 42*n + 333/8.
3*(n - 111)*(n - 1)/8
Determine d so that -2*d**5 + 12*d**4 - 8*d**3 - 12*d**2 + 10*d = 0.
-1, 0, 1, 5
Find d such that -2*d**2/5 - 192*d/5 - 4608/5 = 0.
-48
Factor 2*c**2/13 - 2*c + 24/13.
2*(c - 12)*(c - 1)/13
Suppose 4*n**3 - n**2/6 - n/2 = 0. What is n?
-1/3, 0, 3/8
Suppose 4*n**4 - 60*n**3 + 100*n**2 + 60*n - 104 = 0. Calculate n.
-1, 1, 2, 13
Solve 5*r**3 - 5*r**2 - 80*r - 100 = 0.
-2, 5
Determine c, given that c**4/6 + 5*c**3/6 + 2*c**2/3 = 0.
-4, -1, 0
Factor w**3/3 + 4*w**2/3 - 4*w/3 - 16/3.
(w - 2)*(w + 2)*(w + 4)/3
Determine m, given that -5*m**4 + 260*m**3 - 2660*m**2 = 0.
0, 14, 38
Factor -i**4/7 - 40*i**3/7 - 68*i**2/7 + 304*i/7.
-i*(i - 2)*(i + 4)*(i + 38)/7
Determine k, given that -3*k**5/7 - 3*k**4/7 + 3*k**3 + 3*k**2/7 - 18*k/7 = 0.
-3, -1, 0, 1, 2
Factor 2*t**2/3 - 6262*t/3 - 2088.
2*(t - 3132)*(t + 1)/3
Factor f**4/4 - 9*f**3 + 131*f**2/4 - 24*f.
f*(f - 32)*(f - 3)*(f - 1)/4
Factor -4*r**2 + 2024*r - 2020.
-4*(r - 505)*(r - 1)
Suppose -2*d**2/11 + 28*d/11 = 0. What is d?
0, 14
Find q, given that 3*q**2 - 4488*q - 4491 = 0.
-1, 1497
Suppose 5*w**2/3 + 71*w - 86/3 = 0. What is w?
-43, 2/5
Factor 3*m**3 + 36*m**2 - 183*m + 144.
3*(m - 3)*(m - 1)*(m + 16)
Suppose -y**2/4 - 949*y/4 + 951/2 = 0. What is y?
-951, 2
Let -70756*h**3 + 69692*h**2 + 1060*h + 4 = 0. Calculate h.
-1/133, 1
Solve -2*o**3/3 + 14*o**2/3 + 1258*o/3 - 5202 = 0 for o.
-27, 17
Factor -5*i**2 + 255*i - 490.
-5*(i - 49)*(i - 2)
Factor m**5 + 55*m**4 + 519*m**3 - 7223*m**2 - 7688*m.
m*(m - 8)*(m + 1)*(m + 31)**2
Let 3*a**4 + 252*a**3 + 7884*a**2 + 108864*a + 559872 = 0. What is a?
-24, -18
Suppose -3*w**4 + 33*w**3 + 12*w**2 - 132*w = 0. Calculate w.
-2, 0, 2, 11
What is o in -3*o**4/2 - 21*o**3/2 + 27*o**2 = 0?
-9, 0, 2
Find n, given that -2*n**2 - 124*n - 1922 = 0.
-31
Find m, given that -m**2/4 - 173*m/4 - 171/2 = 0.
-171, -2
Determine a, given that -16*a**4 + 216*a**3 - 297*a**2 + 109*a - 12 = 0.
1/4, 1, 12
Factor 44*g**3 - 18*g**2 - 176*g + 72.
2*(g - 2)*(g + 2)*(22*g - 9)
Solve 2*f**3/11 - 14*f**2 - 156*f/11 = 0 for f.
-1, 0, 78
Find f, given that -2*f**3 + 112*f**2 + 474*f + 360 = 0.
-3, -1, 60
Factor 2*y**2/11 - 72*y/11 - 74/11.
2*(y - 37)*(y + 1)/11
Find t such that 16*t**3/15 - 42*t**2/5 - 32*t/3 - 6/5 = 0.
-1, -1/8, 9
Determine f so that 2*f**5/5 + 24*f**4/5 - 54*f**3/5 + 28*f**2/5 = 0.
-14, 0, 1
Suppose 3*r**2 + 3384*r + 954288 = 0. Calculate r.
-564
Let z**3/7 - z**2 + 6*z/7 = 0. What is z?
0, 1, 6
Find a such that 10*a**5/7 - 296*a**4/7 - 1080*a**3/7 - 1364*a**2/7 - 722*a/7 - 132/7 = 0.
-1, -2/5, 33
Factor -3*i**2/5 - 3519*i/5 + 1410.
-3*(i - 2)*(i + 1175)/5
Factor r**2/4 + 845*r/2 - 846.
(r - 2)*(r + 1692)/4
Factor 3*k**4/2 - 39*k**3/2 + 171*k**2/2 - 285*k/2 + 75.
3*(k - 5)**2*(k - 2)*(k - 1)/2
Suppose 2*n**4 + 18*n**3 + 40*n**2 + 24*n = 0. Calculate n.
-6, -2, -1, 0
What is y in 5*y**3/3 + 25*y**2/3 + 10*y/3 - 40/3 = 0?
-4, -2, 1
Suppose -5*r**5 + 75*r**4 - 275*r**3 - 75*r**2 + 280*r = 0. What is r?
-1, 0, 1, 7, 8
What is n in -n**5/3 + n**4/3 + n**3/3 - n**2/3 = 0?
-1, 0, 1
Suppose -5*j**4 + 80*j**3 + 375*j**2 - 6370*j - 13520 = 0. What is j?
-8, -2, 13
Factor 2*k**5/15 + 284*k**4/15 + 562*k**3/15 + 56*k**2/3.
2*k**2*(k + 1)**2*(k + 140)/15
Suppose -98*o**5/19 + 14*o**4 + 82*o**3/19 - 386*o**2/19 - 112*o/19 - 8/19 = 0. Calculate o.
-1, -1/7, 2
Factor f**2 - 23*f + 22.
(f - 22)*(f - 1)
Factor -c**4/7 + 500*c**3/7 - 997*c**2/7 + 498*c/7.
-c*(c - 498)*(c - 1)**2/7
Find i such that -3*i**4 + 15*i**3 - 15*i**2 - 15*i + 18 = 0.
-1, 1, 2, 3
Factor -2*i**3 - 34*i**2 - 32*i.
-2*i*(i + 1)*(i + 16)
Suppose -3*j**2/8 - 675*j/8 - 1971/4 = 0. Calculate j.
-219, -6
Find c such that -5*c**2 - 45*c - 70 = 0.
-7, -2
What is a in 34*a**5/3 + 2*a**4/9 - 34*a**3 + 22*a**2 + 4*a/9 = 0?
-2, -1/51, 0, 1
Find m such that -26*m**4/7 - 256*m**3/7 + 1496*m**2/7 - 32*m = 0.
-14, 0, 2/13, 4
Factor 4*a**2/5 + 36*a/5 - 8.
4*(a - 1)*(a + 10)/5
Solve 2*d**5 - 28*d**4 + 112*d**3 - 68*d**2 - 210*d = 0 for d.
-1, 0, 3, 5, 7
Let -2*f**5/17 - 40*f**4/17 - 50*f**3/17 + 420*f**2/17 + 432*f/17 = 0. What is f?
-18, -4, -1, 0, 3
Determine j so that -2*j**3/11 + 372*j**2/11 - 16920*j/11 - 35344/11 = 0.
-2, 94
Factor 3*k**3 + 12*k**2 - 45*k - 54.
3*(k - 3)*(k + 1)*(k + 6)
What is i in 5*i**5/2 + 10125*i**4/2 + 5120715*i**3/2 - 5130845*i**2/2 = 0?
-1013, 0, 1
Let 3*k**5/4 + 15*k**4/4 + 9*k**3/4 - 15*k**2/4 - 3*k = 0. What is k?
-4, -1, 0, 1
Find o, given that 3*o**3/4 - 321*o**2/4 + 9333*o/4 - 39015/4 = 0.
5, 51
Determine n so that -n**3/4 + 24*n**2 - 2205*n/4 - 2401/2 = 0.
-2, 49
Suppose -21*s**4/2 - 108*s**3 + 12*s**2 + 432*s + 120 = 0. Calculate s.
-10, -2, -2/7, 2
Factor 2*q**3/3 - 2*q**2/3 - 2*q/3 + 2/3.
2*(q - 1)**2*(q + 1)/3
Factor -2*t**2/9 + 904*t/9 - 1490/3.
-2*(t - 447)*(t - 5)/9
Factor 8*n**3/3 - 26*n**2/3 - 44*n/3 + 80/3.
2*(n - 4)*(n + 2)*(4*n - 5)/3
Solve 21*v**2/2 + 9*v = 0.
-6/7, 0
Let -2*j**2/11 + 170*j/11 - 1092/11 = 0. What is j?
7, 78
Factor 4*q**2/9 + 40*q/9 + 4.
4*(q + 1)*(q + 9)/9
Let 19*l**3 + 35*l**2 + 13*l - 3 = 0. What is l?
-1, 3/19
Suppose -3*g**2/7 + 132*g/7 + 1815/7 = 0. Calculate g.
-11, 55
Factor -46*d**4/7 + 4*d**3/7.
-2*d**3*(23*d - 2)/7
Solve -h**2/7 - 8*h - 55/7 = 0.
-55, -1
What is c in 3*c**5 + 1041*c**4 + 91848*c**3 + 266256*c**2 = 0?
-172, -3, 0
Determine d, given that 2*d**2/7 - 902*d/7 + 1796/7 = 0.
2, 449
Determine k so that -3*k**2/2 + 21*k + 468 = 0.
-12, 26
Determine r, given that -5*r**4 + 3*r**3 + 12*r**2 + 4*r = 0.
-1, -2/5, 0, 2
Factor 2*u**3/11 + 48*u**2/11 - 680*u/11.
2*u*(u - 10)*(u + 34)/11
Factor -5*b**4 + 2555*b**3 - 2550*b**2.
-5*b**2*(b 