 - 96 = 0. What is l?
2/7, 8/5
Let -2*q**3 + 28*q**2 - 58*q - 88 = 0. What is q?
-1, 4, 11
Determine p so that p**5/3 - 8*p**4/3 - 10*p**3/3 + 140*p**2/3 - 37*p - 84 = 0.
-4, -1, 3, 7
Factor 5*n**3 + 205*n**2 + 1075*n + 875.
5*(n + 1)*(n + 5)*(n + 35)
Suppose p**2 + 744*p + 138384 = 0. Calculate p.
-372
Determine k, given that -2*k**2/9 + 16*k/3 - 46/9 = 0.
1, 23
Suppose h**3/10 - 16*h**2/5 - 67*h/10 - 17/5 = 0. Calculate h.
-1, 34
Determine y so that 750*y**5/7 + 850*y**4/7 - 390*y**3/7 - 338*y**2/7 + 144*y/7 - 8/7 = 0.
-1, 1/15, 2/5
Factor -2*o**3/9 + 212*o**2/9 - 4130*o/9 - 27848/3.
-2*(o - 59)**2*(o + 12)/9
Determine w so that 2*w**5/11 - 74*w**4/11 + 788*w**3/11 - 1940*w**2/11 + 1802*w/11 - 578/11 = 0.
1, 17
Factor 4*v**2/7 + 20*v/7 + 24/7.
4*(v + 2)*(v + 3)/7
Find k such that -2*k**3/7 - 156*k**2/7 - 4056*k/7 - 35152/7 = 0.
-26
Let -6*r**2/11 - 648*r - 192456 = 0. Calculate r.
-594
Factor t**4/4 + 19*t**3/2 - 30*t**2 + 61*t/2 - 41/4.
(t - 1)**3*(t + 41)/4
Factor v**2/6 - 145*v/6 + 24.
(v - 144)*(v - 1)/6
Factor 2*v**2/5 - 78*v/5 + 56.
2*(v - 35)*(v - 4)/5
What is a in 2*a**3/3 + 8*a**2 + 24*a + 64/3 = 0?
-8, -2
Find x, given that 2*x**5 - 6*x**4 - 16*x**3 + 24*x**2 + 32*x = 0.
-2, -1, 0, 2, 4
Determine g so that -g**4 + 33*g**3 + 143*g**2 + 183*g + 74 = 0.
-2, -1, 37
Factor 10*o**2 + 215*o + 105.
5*(o + 21)*(2*o + 1)
Factor -z**3 - 10*z**2/3 + 3*z + 4/3.
-(z - 1)*(z + 4)*(3*z + 1)/3
Factor 4*r**2 - 336*r + 7056.
4*(r - 42)**2
Let -g**2 - 6968*g - 12138256 = 0. What is g?
-3484
Find h, given that -3*h**5 + 9*h**4 + 183*h**3 - 189*h**2 = 0.
-7, 0, 1, 9
Factor 4*l**2 + 26592*l + 44195904.
4*(l + 3324)**2
Find f such that -f**2 - 68*f - 1156 = 0.
-34
Solve -4*a**3 - 6280*a**2 + 12572*a - 6288 = 0 for a.
-1572, 1
Factor 2*j**4/9 - 2*j**3/3 - 6*j**2 + 30*j - 36.
2*(j - 3)**3*(j + 6)/9
Solve -15*a**4 + 470*a**3 - 3515*a**2 - 2720*a + 1280 = 0 for a.
-1, 1/3, 16
What is n in 4*n**3 + 248*n**2 - 1660*n - 1904 = 0?
-68, -1, 7
Solve -s**5 + 11*s**4 + 33*s**3 - 71*s**2 - 248*s - 156 = 0 for s.
-2, -1, 3, 13
Factor -4*p**5 - 48*p**4 - 84*p**3 + 392*p**2.
-4*p**2*(p - 2)*(p + 7)**2
Factor j**3/3 - 77*j**2/3 - 161*j/3 + 79.
(j - 79)*(j - 1)*(j + 3)/3
Factor 4*h**2 + 68*h.
4*h*(h + 17)
Factor 64*f**5/3 - 1456*f**4 + 75073*f**3/3 - 6188*f**2 + 1156*f/3.
f*(f - 34)**2*(8*f - 1)**2/3
Determine a, given that 3*a**3/5 - 3*a**2 + 18*a/5 = 0.
0, 2, 3
Factor u**2/2 - 49*u.
u*(u - 98)/2
Let -3*d**5/4 + 117*d**4/2 - 1251*d**3 + 8547*d**2/2 - 12321*d/4 = 0. What is d?
0, 1, 3, 37
Factor -324*q**3 + 24156*q**2 + 10784*q + 1200.
-4*(q - 75)*(9*q + 2)**2
Find w such that 2*w**2/7 - 243*w/7 + 121/7 = 0.
1/2, 121
Factor 24*v**4 + 195*v**3 - 450*v**2.
3*v**2*(v + 10)*(8*v - 15)
Suppose -2*j**4/9 + 14*j**3/9 + 2*j**2/9 - 14*j/9 = 0. What is j?
-1, 0, 1, 7
Factor -3*z**3 + 243*z**2 - 240*z.
-3*z*(z - 80)*(z - 1)
Let j**5/2 + 48*j**4 + 189*j**3/2 + 47*j**2 = 0. What is j?
-94, -1, 0
Suppose 16*p**3/7 + 9036*p**2/7 + 6764*p/7 - 2256/7 = 0. Calculate p.
-564, -1, 1/4
Find y, given that 2*y**3 - 3*y**2 - 8*y - 3 = 0.
-1, -1/2, 3
Suppose k**2 - 28*k + 196 = 0. Calculate k.
14
Solve -p**3/3 + 780*p**2 = 0 for p.
0, 2340
Factor k**4/6 + 46*k**3/3 + 1075*k**2/6 + 638*k + 474.
(k + 1)*(k + 6)**2*(k + 79)/6
Determine a so that -3*a**3 + 24*a**2 + 33*a - 54 = 0.
-2, 1, 9
Let 3*h**4/2 - 61*h**3/4 + 101*h**2/2 - 56*h + 8 = 0. Calculate h.
1/6, 2, 4
Find c, given that -2*c**4 - 6*c**3 + 6*c**2 + 22*c + 12 = 0.
-3, -1, 2
What is b in 10*b**3/7 + 2066*b**2/7 + 176*b - 824/7 = 0?
-206, -1, 2/5
Let u**3/6 + 583*u**2/2 + 339889*u/2 + 198155287/6 = 0. Calculate u.
-583
What is j in -5*j**3 - 240*j**2 - 855*j + 1100 = 0?
-44, -5, 1
Solve -p**4/4 + 7*p**3/4 + 49*p**2/4 - 55*p/4 = 0 for p.
-5, 0, 1, 11
Factor 2*p**3 + 320*p**2 + 1256*p + 1248.
2*(p + 2)**2*(p + 156)
Factor -u**5 + 13*u**4 + 2*u**3 - 282*u**2 - 513*u - 243.
-(u - 9)**2*(u + 1)**2*(u + 3)
Determine a, given that -a**5/3 + 5*a**4/3 - a**3 - 5*a**2/3 + 4*a/3 = 0.
-1, 0, 1, 4
Factor -9*w**2 - 518*w.
-w*(9*w + 518)
Solve -3*y**3 - 35*y**2 - 52*y - 20 = 0 for y.
-10, -1, -2/3
Suppose 5*r**3 - 380*r**2 - 2460*r = 0. Calculate r.
-6, 0, 82
Factor c**4 + 13*c**3 + 41*c**2 + 47*c + 18.
(c + 1)**2*(c + 2)*(c + 9)
Determine w, given that -9*w**4 - 246*w**3 - 531*w**2 - 150*w = 0.
-25, -2, -1/3, 0
Factor -5*y**3 + 380*y**2 - 2100*y.
-5*y*(y - 70)*(y - 6)
Determine u so that -4*u**5 - 40*u**4 - 20*u**3 + 160*u**2 + 144*u = 0.
-9, -2, -1, 0, 2
Factor 3*t**3 + 24*t**2 - 57*t + 30.
3*(t - 1)**2*(t + 10)
Factor -3*o**4 + 1944*o**3 - 415944*o**2 + 28514400*o + 186484176.
-3*(o - 218)**3*(o + 6)
Let -12*j**3 + 627*j**2 - 768*j + 153 = 0. Calculate j.
1/4, 1, 51
Factor 2*u**2/5 - 12*u/5 + 16/5.
2*(u - 4)*(u - 2)/5
Factor 2*y**2/9 + 68*y/3 + 578.
2*(y + 51)**2/9
Solve 6*i**5 - 14*i**4 - 188*i**3 + 640*i**2 - 192*i = 0.
-6, 0, 1/3, 4
Determine i, given that -28*i**4 + 1072*i**3 + 1908*i**2 + 488*i - 320 = 0.
-1, 2/7, 40
Let 2*n**2/7 - 218*n/7 - 2124/7 = 0. What is n?
-9, 118
Suppose -g**4/10 + 7*g**3/10 - g**2/2 - 7*g/10 + 3/5 = 0. Calculate g.
-1, 1, 6
Solve -2*t**3/15 - 4*t**2 - 198*t/5 - 648/5 = 0.
-12, -9
Factor z**5/3 - 4*z**4/3 - 8*z**3/3 + 64*z**2/3 - 112*z/3 + 64/3.
(z - 2)**4*(z + 4)/3
Suppose -5*i**5 - 10*i**4 + 25*i**3 + 30*i**2 = 0. What is i?
-3, -1, 0, 2
Find q such that -2*q**5 + 26*q**4 + 4*q**3 - 564*q**2 - 1026*q - 486 = 0.
-3, -1, 9
Factor 2*c**4/7 + 10*c**3/7 + 2*c**2 + 6*c/7.
2*c*(c + 1)**2*(c + 3)/7
Determine g, given that -2*g**3/13 + 1260*g**2/13 - 264600*g/13 + 18522000/13 = 0.
210
Let 3*i**3 - 18*i**2 - 471*i + 990 = 0. Calculate i.
-11, 2, 15
Factor o**3/3 - 2*o**2/3 - o/3 + 2/3.
(o - 2)*(o - 1)*(o + 1)/3
Solve q**4/6 + 11*q**3/6 + 20*q**2/3 + 8*q = 0 for q.
-4, -3, 0
Factor 3*x**4 + 111*x**3 - 477*x**2 + 609*x - 246.
3*(x - 2)*(x - 1)**2*(x + 41)
Factor 4*n**3 + 52*n**2 + 92*n + 44.
4*(n + 1)**2*(n + 11)
Solve 2*v**2/5 - 1568*v/5 = 0.
0, 784
Let 3*i**3 + 12*i**2 - 165*i + 150 = 0. Calculate i.
-10, 1, 5
Factor -n**4 + 11*n**3 - 42*n**2 + 68*n - 40.
-(n - 5)*(n - 2)**3
Determine u, given that -u**3/4 - 13*u**2/4 + 295*u/2 - 144 = 0.
-32, 1, 18
What is r in -2*r**4/3 + 6*r**3 + 14*r**2 + 22*r/3 = 0?
-1, 0, 11
Factor -424*z**5 - 196*z**4 + 8*z**3.
-4*z**3*(2*z + 1)*(53*z - 2)
Factor 5*t**2/2 - 5*t - 20.
5*(t - 4)*(t + 2)/2
Find a, given that a**2 + 176*a + 7744 = 0.
-88
Suppose -j**2/5 - 26*j/5 - 88/5 = 0. Calculate j.
-22, -4
Solve x**3/4 - 5*x**2/2 - 53*x/4 - 21/2 = 0 for x.
-3, -1, 14
Let 2*a**5 - 12*a**4 - 6*a**3 + 32*a**2 + 24*a = 0. What is a?
-1, 0, 2, 6
Factor 2*o**3 - 36*o**2 - 200*o + 528.
2*(o - 22)*(o - 2)*(o + 6)
Find i such that -2*i**5/3 + 8*i**4 - 16*i**3/3 - 68*i**2/3 + 6*i + 44/3 = 0.
-1, 1, 2, 11
Suppose -v**5/9 - 7*v**4/9 - 5*v**3/3 - 5*v**2/9 + 16*v/9 + 4/3 = 0. What is v?
-3, -2, -1, 1
Let 3*p**5/4 + 30*p**4 + 1431*p**3/4 + 2247*p**2/2 - 2355*p - 3150 = 0. Calculate p.
-21, -10, -1, 2
What is o in 3*o**2 + 120*o + 228 = 0?
-38, -2
Factor -2*o**5 - 1136*o**4 - 215460*o**3 - 13716864*o**2 - 13502538*o.
-2*o*(o + 1)*(o + 189)**3
Factor 50*u**2 - 285*u - 90.
5*(u - 6)*(10*u + 3)
Let 2*m**5 + 12*m**4 - 6*m**3 - 40*m**2 - 24*m = 0. What is m?
-6, -1, 0, 2
Solve 4*n**4 + 16*n**3 - 20*n**2 = 0.
-5, 0, 1
Factor 2*s**3/7 + 50*s**2 - 4416*s/7 + 13464/7.
2*(s - 6)**2*(s + 187)/7
Factor -6*b**5 - 26*b**4 - 44*b**3 - 36*b**2 - 14*b - 2.
-2*(b + 1)**4*(3*b + 1)
Factor 7*n**5 + 23*n**4 + 6*n**3.
n**3*(n + 3)*(7*n + 2)
Factor -k**2/4 + 3*k + 27.
-(k - 18)*(k + 6)/4
Suppose 2*b**2 - 88*b + 968 = 0. What is b?
22
Let 5*j**3 - 100*j**2 - 215*j - 110 = 0. What is j?
-1, 22
Solve -3*q**2/5 + 54*q/5 - 27 = 0.
3, 15
Find q such that -2*q**5 + 14*q**4 - 22*q**3 - 38*q**2 + 120*q - 72 = 0.
-2, 1, 2, 3
Factor i**2 - 78*i + 1521.
(i - 39)**2
What is j in 147*j**4 - 525*j**3 + 264*j**2 - 36*j = 0?
0, 2/7, 3
Find y, given that -y**3/4 - 17*y**2/4 - 37*y/2 - 22 = 0.
-11, -4, -2
Factor 5*z**4 - 60*z**3 + 205*z**2 - 150*z.
5*z*(z - 6)*(z - 5)*(z - 1)
Factor 4*h**3 + 4*h**2 - 64*h - 64.
4*(h - 4)*(h + 1)*(h + 4)
Determine a, given that 4*a**4 + 4864*a**3 + 1478656*a**2 = 0.
-608, 0
Factor -v**2/4 + v/2 - 1/4.
-(v - 1)**2/4
Find z such that 2*z**4/5 - 2*z**3/5 - 26*z**2/5 + 10*z - 24/5 = 0.
-4, 1, 3
What is k in -10*k**3 - 175*k**2 - 