*i - 32 = 0.
-8, -1
Let -g**4 - 2*g**3 + 7*g**2 - 4*g = 0. Calculate g.
-4, 0, 1
Let -b**5 + 7*b**4 - 14*b**3 + 8*b**2 = 0. Calculate b.
0, 1, 2, 4
What is d in 2*d**3 - 56*d + 96 = 0?
-6, 2, 4
Factor -5*r**2 + 750*r - 28125.
-5*(r - 75)**2
Factor -3*g**2 + 522*g - 22707.
-3*(g - 87)**2
What is v in -1083*v**5 + 342*v**4 + 1056*v**3 - 342*v**2 + 27*v = 0?
-1, 0, 3/19, 1
Determine k, given that -2*k**3/9 + 724*k**2/9 - 65522*k/9 = 0.
0, 181
Determine z, given that 2*z**3 - 26*z**2 = 0.
0, 13
Factor q**2 - 228*q/5 - 233/5.
(q + 1)*(5*q - 233)/5
Let 3*b**3 + 151*b**2/3 + 236*b/3 - 20 = 0. Calculate b.
-15, -2, 2/9
Factor -c**2/3 - 53*c/3.
-c*(c + 53)/3
Factor 15*h**2/4 + 470*h - 315.
5*(h + 126)*(3*h - 2)/4
Solve 3*u**2 + 2232*u + 4452 = 0.
-742, -2
Factor -2*y**5/3 + 6*y**4 - 14*y**3 + 38*y**2/3 - 4*y.
-2*y*(y - 6)*(y - 1)**3/3
Factor -2*s**2/7 + 10*s/7 - 8/7.
-2*(s - 4)*(s - 1)/7
Factor -s**3/5 + 4*s**2/5 - s/5 - 6/5.
-(s - 3)*(s - 2)*(s + 1)/5
Factor x**2 + 7*x - 8.
(x - 1)*(x + 8)
Factor 5*g**2 + 260*g - 540.
5*(g - 2)*(g + 54)
Solve -s**5/3 + 4*s**4 - 20*s**3/3 - 2*s**2/3 + 7*s - 10/3 = 0 for s.
-1, 1, 10
Factor 2*t**3 + 22830*t**2 + 86868150*t + 110177770250.
2*(t + 3805)**3
Determine h so that h**3/6 + 7*h**2 + 98*h + 1372/3 = 0.
-14
Factor -2*i**2 - 1324*i - 219122.
-2*(i + 331)**2
Find u, given that -2*u**5 - 10*u**4 + 50*u**3 + 250*u**2 = 0.
-5, 0, 5
Factor 2*q**4/17 - 94*q**3/17 + 182*q**2/17 - 90*q/17.
2*q*(q - 45)*(q - 1)**2/17
Determine z, given that 16*z**3 - 68*z**2 + 92*z - 40 = 0.
1, 5/4, 2
What is p in 2*p**3/11 + 50*p**2/11 + 200*p/11 = 0?
-20, -5, 0
Solve -s**2/6 - 1694*s/3 - 1434818/3 = 0.
-1694
Factor 2*f**2/9 - 106*f/9 - 220/9.
2*(f - 55)*(f + 2)/9
Suppose 10*c**3 - 185*c**2 + 900*c - 405 = 0. Calculate c.
1/2, 9
Let 2*x**3/3 + 528*x**2 + 1582*x/3 = 0. What is x?
-791, -1, 0
What is i in -5*i**4 - 53*i**3 - 153*i**2 - 55*i + 50 = 0?
-5, -1, 2/5
Suppose 2*g**3 - 732*g**2 + 66978*g = 0. What is g?
0, 183
Solve -s**3 + 19*s**2 + 89*s + 69 = 0 for s.
-3, -1, 23
Factor 3*o**4/2 + 14*o**3 + 7*o**2/2 - 9*o.
o*(o + 1)*(o + 9)*(3*o - 2)/2
Let -u**2/4 - 17*u/2 - 93/4 = 0. What is u?
-31, -3
Factor p**2/7 + 100*p/7 + 291/7.
(p + 3)*(p + 97)/7
Factor -2*h**4/11 - 2096*h**3/11 - 823728*h**2/11 - 143877824*h/11 - 9423997472/11.
-2*(h + 262)**4/11
Solve -2*h**5/13 - 2*h**4 - 108*h**3/13 - 124*h**2/13 + 110*h/13 + 150/13 = 0 for h.
-5, -3, -1, 1
Factor 3*i**2 - 27*i + 60.
3*(i - 5)*(i - 4)
Solve 3*c**2 - 20*c - 7 = 0.
-1/3, 7
Solve 3*k**2/2 + 867*k/2 - 1314 = 0 for k.
-292, 3
Solve 5*a**2 + 1640*a - 1645 = 0 for a.
-329, 1
Factor 4*x**3 - 44*x**2 + 136*x - 96.
4*(x - 6)*(x - 4)*(x - 1)
Factor -2*y**5/7 + 8*y**4/7 + 16*y**3/7 - 128*y**2/7 + 32*y - 128/7.
-2*(y - 2)**4*(y + 4)/7
Let -t**3 - 21*t**2 + 45*t - 23 = 0. What is t?
-23, 1
Factor j**2/5 - 19*j/5 - 4.
(j - 20)*(j + 1)/5
What is a in 35*a**4 + 80*a**3 + 55*a**2 + 10*a = 0?
-1, -2/7, 0
Find x, given that 2*x**2/9 + 10*x/9 = 0.
-5, 0
Factor 2*o**2/5 - 12896*o/5 + 20788352/5.
2*(o - 3224)**2/5
Let k**4/5 - 51*k**3/5 + 622*k**2/5 + 156*k - 1352/5 = 0. What is k?
-2, 1, 26
Let -2*c**3/5 - 52*c**2/5 + 118*c/5 + 168/5 = 0. Calculate c.
-28, -1, 3
Find w, given that -55*w**3 + 780*w**2 - 2340*w + 400 = 0.
2/11, 4, 10
Factor -r**3 + 35*r**2 - 314*r + 280.
-(r - 20)*(r - 14)*(r - 1)
Solve -4*q**2/3 + 10432*q/3 - 6801664/3 = 0.
1304
Solve 12*d**5 - 81*d**4 + 159*d**3 - 63*d**2 - 27*d = 0 for d.
-1/4, 0, 1, 3
Find f, given that 2*f**5/9 + 16*f**4/9 - 8*f**3/9 - 64*f**2/9 = 0.
-8, -2, 0, 2
Factor 5*w**4 - 10*w**3 - 40*w**2.
5*w**2*(w - 4)*(w + 2)
Let -3*u**2/2 - 36*u = 0. Calculate u.
-24, 0
Factor -o**2 - 10*o - 25.
-(o + 5)**2
Let -2*k**2/7 + 324*k/7 + 326/7 = 0. What is k?
-1, 163
Factor -u**2/12 + 71*u/4.
-u*(u - 213)/12
Factor -y**4 - 5*y**3 - 3*y**2 + 5*y + 4.
-(y - 1)*(y + 1)**2*(y + 4)
Find n, given that -n**3/6 - 22*n**2/3 + 15*n/2 = 0.
-45, 0, 1
Factor -40*m**2/11 - 2*m/11.
-2*m*(20*m + 1)/11
Factor 4*u**2 - 16*u - 48.
4*(u - 6)*(u + 2)
Factor -5*r**3 + 200*r**2 - 1020*r.
-5*r*(r - 34)*(r - 6)
Factor -2*n**5 + 26*n**4 - 24*n**3 - 864*n**2 + 3456*n - 2592.
-2*(n - 6)**3*(n - 1)*(n + 6)
Let 3*m**5 - 3*m**4 - 27*m**3 + 27*m**2 = 0. What is m?
-3, 0, 1, 3
Factor 4*j**3 + 36*j**2 - 448*j.
4*j*(j - 7)*(j + 16)
Factor -3*l**3 - 87*l**2 - 672*l - 588.
-3*(l + 1)*(l + 14)**2
Suppose 3*o**3 - 27*o**2 + 60*o - 36 = 0. Calculate o.
1, 2, 6
Solve -2*q**3 - 204*q**2 + 414*q - 208 = 0 for q.
-104, 1
Suppose -8*k**4 + 20*k**3 + 4*k**2 - 24*k = 0. What is k?
-1, 0, 3/2, 2
Factor -4*d**3 + 9924*d**2 - 8207148*d + 2262437132.
-4*(d - 827)**3
Determine n so that 2*n**5/11 - 20*n**4/11 - 2*n**3 + 328*n**2/11 + 776*n/11 + 448/11 = 0.
-2, -1, 7, 8
Find b, given that 55*b**2/2 + 155*b/2 - 15 = 0.
-3, 2/11
Factor -p**3/3 + 2002*p**2/3 - 4001*p/3 + 2000/3.
-(p - 2000)*(p - 1)**2/3
Determine o, given that 29645*o**5 + 446215*o**4 + 23120*o**3 + 300*o**2 = 0.
-15, -2/77, 0
Suppose -2*u**3/13 - 6*u**2/13 + 18*u/13 - 10/13 = 0. Calculate u.
-5, 1
Solve 2*n**2/5 - 306*n/5 + 3384/5 = 0 for n.
12, 141
Determine o so that -195*o**4 + 1115*o**3 - 1505*o**2 + 685*o - 100 = 0.
1/3, 5/13, 1, 4
Factor -2*h**3/3 + 10*h**2/3 + 250*h/3 + 250.
-2*(h - 15)*(h + 5)**2/3
Determine k, given that 4*k**3 + 44*k**2 - 100*k + 52 = 0.
-13, 1
What is p in -p**3/5 + 2*p**2/5 + 16*p/5 - 32/5 = 0?
-4, 2, 4
Determine d, given that -2*d**2/3 + 16*d/3 - 10 = 0.
3, 5
Factor -g**3 - 23*g**2 - 143*g - 121.
-(g + 1)*(g + 11)**2
Factor -2*o**2 - 6*o - 4.
-2*(o + 1)*(o + 2)
Suppose -2*g**5/17 - 16*g**4/17 - 2*g**3 - 20*g**2/17 = 0. What is g?
-5, -2, -1, 0
Factor -18*j**4/7 + 116*j**3/7 - 264*j**2/7 + 240*j/7 - 64/7.
-2*(j - 2)**3*(9*j - 4)/7
Solve 5*r**3 - 4*r**2 - 5*r + 4 = 0 for r.
-1, 4/5, 1
Determine q so that -4*q**3 + 8280*q**2 + 16572*q + 8288 = 0.
-1, 2072
Find x such that x**2/2 - 291*x + 84681/2 = 0.
291
Let 2*o**5 + 24*o**4 = 0. Calculate o.
-12, 0
What is i in 2*i**2/11 - 34*i/11 - 36/11 = 0?
-1, 18
Factor 2*x**2/5 + 462*x/5 - 464/5.
2*(x - 1)*(x + 232)/5
Let -c**3 + 2*c**2 = 0. What is c?
0, 2
Factor 5*z**5 - 10*z**4 - 30*z**3 + 20*z**2 + 65*z + 30.
5*(z - 3)*(z - 2)*(z + 1)**3
Factor -4*t**4 - 44*t**3 + 100*t**2 - 52*t.
-4*t*(t - 1)**2*(t + 13)
Suppose -x**3 + 53*x**2 - 240*x = 0. What is x?
0, 5, 48
Factor u**4/5 + u**3/5 - 17*u**2/5 + 3*u.
u*(u - 3)*(u - 1)*(u + 5)/5
Solve 2*x**3/11 - 4*x**2 + 82*x/11 - 40/11 = 0.
1, 20
Let 4*u**3 + 152*u**2 + 148*u = 0. What is u?
-37, -1, 0
Find f such that 24*f**2 + 57*f + 18 = 0.
-2, -3/8
Factor 3*i**2/2 - 855*i + 243675/2.
3*(i - 285)**2/2
Factor r**2/3 - 64*r/3.
r*(r - 64)/3
Suppose -o**5 - 3*o**4 + 16*o**3 + 20*o**2 - 96*o + 64 = 0. What is o?
-4, 1, 2
Let -5*f**4 + 115*f**3 = 0. What is f?
0, 23
Factor d**5/6 - 215*d**4/3 + 285*d**3 - 1280*d**2/3 + 1705*d/6 - 71.
(d - 426)*(d - 1)**4/6
Find q such that 3*q**4 - 90*q**3 + 831*q**2 - 2340*q + 2028 = 0.
2, 13
Suppose -5*k**5 + 35*k**4 - 40*k**3 - 80*k**2 = 0. What is k?
-1, 0, 4
Find q, given that -6*q**2/7 - 254*q/7 + 172/7 = 0.
-43, 2/3
What is a in 2*a**4/11 - 106*a**3/11 + 1444*a**2/11 - 728*a/11 - 8112/11 = 0?
-2, 3, 26
Solve -l**2/8 - 27*l/8 + 7/2 = 0.
-28, 1
What is c in 3*c**3 + 90*c**2 + 81*c - 174 = 0?
-29, -2, 1
Find a, given that 2*a**5/9 - 14*a**4/9 + 38*a**3/9 - 50*a**2/9 + 32*a/9 - 8/9 = 0.
1, 2
Determine g so that -5*g**5 - 1360*g**4 - 2695*g**3 + 1360*g**2 + 2700*g = 0.
-270, -2, -1, 0, 1
Factor 3*l**2 + 849*l.
3*l*(l + 283)
Suppose -2*q**3 - 82*q**2 + 84*q = 0. What is q?
-42, 0, 1
Factor 4*y**5 - 188*y**4 + 2112*y**3 + 2304*y**2.
4*y**2*(y - 24)**2*(y + 1)
Factor g**5 + 10*g**4 - 12*g**3 - 136*g**2 - 160*g.
g*(g - 4)*(g + 2)**2*(g + 10)
Factor -14*s**3/13 - 34*s**2/13 - 2*s - 6/13.
-2*(s + 1)**2*(7*s + 3)/13
What is r in 3*r**2 + 78*r + 144 = 0?
-24, -2
What is y in -12*y**3 - 9*y**2 + 48*y + 36 = 0?
-2, -3/4, 2
Let 2*c**5/9 - 32*c**4/9 + 202*c**3/9 - 628*c**2/9 + 320*c/3 - 64 = 0. Calculate c.
2, 3, 4
Factor -x**2 + 2725*x.
-x*(x - 2725)
Factor a**4 - 6*a**3 - 25*a**2 - 18*a.
a*(a - 9)*(a + 1)*(a + 2)
Find d such that -2*d**5 + 20*d**4 + 6*d**3 - 280*d**2 - 392*d = 0.
-2, 0, 7
Factor -n**2 + 119*n - 118.
-(n - 118)*(n - 1)
Factor -r**5/6 - 2*r**4 - 16*r**3/3 + 35*r**2/3 + 75*r/2 - 125/3.
-(r - 2)*(r - 1)*(r + 5)**3/6
So