(j + 210)/11
Suppose 2390*d**4/3 - 3844*d**3/3 - 1880*d**2/3 + 16*d/3 = 0. What is d?
-2/5, 0, 2/239, 2
Find v, given that 4*v**4/7 - 16*v**3 - 52*v**2/7 + 1504*v/7 - 192 = 0.
-4, 1, 3, 28
Solve -2*o**2 - 70*o - 68 = 0 for o.
-34, -1
Solve 2*g**5/7 + 384*g**4/7 + 24576*g**3/7 + 524288*g**2/7 = 0 for g.
-64, 0
Factor -3*u**5 + 336*u**4 + 681*u**3 + 342*u**2.
-3*u**2*(u - 114)*(u + 1)**2
Factor -5*u**3/4 - 135*u**2/4 - 475*u/4 - 345/4.
-5*(u + 1)*(u + 3)*(u + 23)/4
Factor 2*u**4 + 56*u**3 + 444*u**2 + 728*u + 338.
2*(u + 1)**2*(u + 13)**2
Suppose 3*f**5 - 204*f**4 - 420*f**3 - 6*f**2 + 417*f + 210 = 0. Calculate f.
-1, 1, 70
Suppose 23*c**5/8 + 6*c**4 + c**3/2 - 23*c**2/4 - 27*c/8 - 1/4 = 0. What is c?
-1, -2/23, 1
Find b such that 8*b**3/7 + 18*b**2/7 - 18*b/7 = 0.
-3, 0, 3/4
Factor 5*l**3 - 90*l**2 + 235*l - 150.
5*(l - 15)*(l - 2)*(l - 1)
Factor 5*b**2/2 - 1315*b/2.
5*b*(b - 263)/2
Determine v so that 3*v**3 + 12*v**2 + 3*v - 18 = 0.
-3, -2, 1
Factor -3*l**3 - 12*l**2 + 3*l + 12.
-3*(l - 1)*(l + 1)*(l + 4)
Factor 5*z**2 + 85*z + 210.
5*(z + 3)*(z + 14)
Find p, given that 2*p**3/7 + 8*p**2/7 - 2*p/7 - 8/7 = 0.
-4, -1, 1
Factor 2*l**2/19 + 112*l/19 - 1320/19.
2*(l - 10)*(l + 66)/19
Determine x so that x**4 - 6*x**3 + 8*x**2 + 6*x - 9 = 0.
-1, 1, 3
Solve b**2/10 - 6*b/5 = 0.
0, 12
Factor 8*t**2/5 - 92*t/5 - 48/5.
4*(t - 12)*(2*t + 1)/5
Determine w, given that -252*w**2 + 464*w/7 - 16/7 = 0.
2/49, 2/9
Determine n so that 5*n**2 + 305*n + 300 = 0.
-60, -1
Factor -3*m**2 + 120*m + 1500.
-3*(m - 50)*(m + 10)
Factor -n**3/2 - 60*n**2 - 1017*n/2 - 999.
-(n + 3)*(n + 6)*(n + 111)/2
Factor 4*l**5 + 4*l**4 - 20*l**3 - 4*l**2 + 32*l - 16.
4*(l - 1)**3*(l + 2)**2
Find l such that -2*l**3/5 + 6*l**2/5 + 98*l/5 + 18 = 0.
-5, -1, 9
Factor -2*v**2/7 + 22*v/7.
-2*v*(v - 11)/7
Determine h, given that -30*h**5 + 86*h**4 + 132*h**3 + 16*h**2 = 0.
-1, -2/15, 0, 4
Factor 2*b**3 + 68*b**2 + 528*b.
2*b*(b + 12)*(b + 22)
Solve 4*q**3 - 1136*q**2 - 4*q + 1136 = 0.
-1, 1, 284
Factor -3*p**3/2 + 153*p**2/2 + 96*p - 936.
-3*(p - 52)*(p - 3)*(p + 4)/2
Suppose 18*p**4 - 2812*p**3 + 624*p**2 = 0. Calculate p.
0, 2/9, 156
Factor 5*g**2 - 45*g - 810.
5*(g - 18)*(g + 9)
Factor -3*a**4 - 24*a**3 + 237*a**2 - 210*a.
-3*a*(a - 5)*(a - 1)*(a + 14)
Determine y so that -5*y**2 + 145*y - 270 = 0.
2, 27
Factor -t**5 - 2*t**4 + 2*t**3 + 4*t**2 - t - 2.
-(t - 1)**2*(t + 1)**2*(t + 2)
Factor -2*x**2/13 + 42*x/13 + 44/13.
-2*(x - 22)*(x + 1)/13
Determine w, given that -4*w**2 - 440*w + 444 = 0.
-111, 1
Factor 20*z**3 - 43*z**2 + 29*z - 6.
(z - 1)*(4*z - 3)*(5*z - 2)
Factor h**4/2 - 337*h**3/2 - 3*h**2/2 + 1009*h/2 + 337.
(h - 337)*(h - 2)*(h + 1)**2/2
Factor 8*y**2 - 411*y + 153.
(y - 51)*(8*y - 3)
Factor -2*o**3/3 - 550*o**2/3 + 184*o.
-2*o*(o - 1)*(o + 276)/3
Determine y, given that -5*y**2 + 490*y - 960 = 0.
2, 96
Let -188*n**4 - 1868*n**3 - 1619*n**2 - 312*n + 27 = 0. Calculate n.
-9, -1/2, 3/47
Solve 3*x**4 - 47*x**3 + 541*x**2/3 - 105*x + 50/3 = 0 for x.
1/3, 5, 10
Find g, given that -g**2/4 - 89*g/2 - 7921/4 = 0.
-89
What is l in l**3/3 + 7*l**2 + 36*l = 0?
-12, -9, 0
Factor v**2/4 - 51*v.
v*(v - 204)/4
Solve 10*i**3 - 106*i**2 + 304*i - 264 = 0 for i.
2, 33/5
Solve n**3/8 + 22*n**2 - 89*n/2 = 0.
-178, 0, 2
Find a such that -a**2/7 - 127*a/7 = 0.
-127, 0
Suppose 9*f**2 - 1662*f - 555 = 0. Calculate f.
-1/3, 185
Factor h**2 + 31*h + 84.
(h + 3)*(h + 28)
Let -3*v**3 - 27*v**2 - 24*v = 0. What is v?
-8, -1, 0
Solve 12*w**4 + 21*w**3 - 51*w**2 - 9*w + 27 = 0 for w.
-3, -3/4, 1
Factor 4*k**2/9 - 4*k/3 + 8/9.
4*(k - 2)*(k - 1)/9
What is b in -8*b**4/5 - 33*b**3/5 + 228*b**2/5 - 163*b/5 - 24/5 = 0?
-8, -1/8, 1, 3
Factor 5*c**2 - 605*c + 2340.
5*(c - 117)*(c - 4)
Factor 2*f**3/9 + 2*f**2/9 - 8*f/3.
2*f*(f - 3)*(f + 4)/9
Factor b**4/4 - 9*b**2/4 - b + 3.
(b - 3)*(b - 1)*(b + 2)**2/4
Factor 2*g**5 + 12*g**4 + 24*g**3 + 16*g**2.
2*g**2*(g + 2)**3
Suppose -3*d**2 - 166*d = 0. Calculate d.
-166/3, 0
Determine c so that 55*c**5 + 155*c**4 - 415*c**3 - 1415*c**2 - 720*c + 180 = 0.
-3, -2, -1, 2/11, 3
What is i in -5*i**5 - 20*i**4 + 105*i**3 + 520*i**2 + 400*i = 0?
-4, -1, 0, 5
Determine n, given that -n**2/4 - n/2 + 2 = 0.
-4, 2
Find h such that -2*h**2 + 406*h - 1200 = 0.
3, 200
Suppose 3*s**3 - 966*s**2 - 3900*s - 3912 = 0. Calculate s.
-2, 326
Factor -2*h**3 + 30*h**2 + 596*h - 624.
-2*(h - 26)*(h - 1)*(h + 12)
Let -4*i**2 - 9*i - 2 = 0. Calculate i.
-2, -1/4
Factor -2*f**3/13 + 790*f**2/13 + 3184*f/13 + 3192/13.
-2*(f - 399)*(f + 2)**2/13
Factor 20*q**4 - 252*q**3 + 136*q**2 + 96*q.
4*q*(q - 12)*(q - 1)*(5*q + 2)
Factor j**3/6 + 7*j**2/2 + 33*j/2 - 121/6.
(j - 1)*(j + 11)**2/6
Factor 2*f**3 - 14*f**2 + 22*f - 10.
2*(f - 5)*(f - 1)**2
Factor 3*z**5 - 27*z**4 - 243*z**3 - 405*z**2.
3*z**2*(z - 15)*(z + 3)**2
Factor 3*a**5/5 + 6*a**4/5 - 12*a**3/5 - 24*a**2/5.
3*a**2*(a - 2)*(a + 2)**2/5
Factor -676*d**2 - 13728*d - 69696.
-4*(13*d + 132)**2
Factor -d**2 - d + 2.
-(d - 1)*(d + 2)
Determine h, given that 3*h**2 - 111*h - 234 = 0.
-2, 39
Factor 2*z**3/21 - 2*z**2 + 28*z/3 - 80/7.
2*(z - 15)*(z - 4)*(z - 2)/21
Solve -t**5 + 13*t**4 - 33*t**3 - 77*t**2 + 98*t = 0.
-2, 0, 1, 7
Factor -76*r**3 + 124*r**2 + 476*r + 276.
-4*(r + 1)**2*(19*r - 69)
Factor 5*n**3 + 440*n**2 + 9225*n - 20250.
5*(n - 2)*(n + 45)**2
Determine d, given that -5*d**5/2 + 25*d**4/2 - 15*d**3 - 5*d**2 + 35*d/2 - 15/2 = 0.
-1, 1, 3
Factor -o**4/2 - 11*o**3 - 169*o**2/2 - 264*o - 288.
-(o + 3)**2*(o + 8)**2/2
Factor 2*i**4/7 + 988*i**3/7 - 990*i**2/7.
2*i**2*(i - 1)*(i + 495)/7
Suppose -k**3/6 - 95*k**2/6 - 368*k + 384 = 0. What is k?
-48, 1
Factor -742*c**3/17 - 738*c**2/17 + 4*c/17.
-2*c*(c + 1)*(371*c - 2)/17
Solve 4*b**4 - 12*b**3 - 16*b**2 = 0 for b.
-1, 0, 4
Solve -2*f**3 + 2*f**2 + 32*f + 40 = 0.
-2, 5
Find x such that 8*x**3 - 566*x**2/11 + 486*x/11 + 720/11 = 0.
-3/4, 24/11, 5
Determine x so that -x**3/6 + 149*x**2/3 + x/6 - 149/3 = 0.
-1, 1, 298
Solve -8*k**5 + 42*k**4 - 20*k**3 - 168*k**2 + 208*k = 0 for k.
-2, 0, 2, 13/4
Factor m**4/5 + 78*m**3/5 + 60*m**2 + 296*m/5.
m*(m + 2)**2*(m + 74)/5
Factor 2*z**2 - 36*z - 288.
2*(z - 24)*(z + 6)
Factor 3*j**3/4 - 165*j**2/4 + 81*j/2.
3*j*(j - 54)*(j - 1)/4
Factor -10*q**3 - 108*q**2/5 - 16*q/5.
-2*q*(q + 2)*(25*q + 4)/5
Suppose -54*t**3 + 166*t**2 - 12*t = 0. What is t?
0, 2/27, 3
Solve y**3/4 - 7*y**2/4 - 5*y/4 + 75/4 = 0 for y.
-3, 5
Determine w so that -3*w**2 + 753*w + 1518 = 0.
-2, 253
Factor -6*f**3 + 220*f**2 - 354*f + 140.
-2*(f - 35)*(f - 1)*(3*f - 2)
What is i in 2*i**5/5 + 68*i**4/15 + 136*i**3/15 + 92*i**2/15 + 6*i/5 = 0?
-9, -1, -1/3, 0
What is k in -2*k**4/3 + 4*k**3 - 2*k**2 - 20*k/3 = 0?
-1, 0, 2, 5
Solve -26542898*s**2/11 + 29144*s/11 - 8/11 = 0 for s.
2/3643
Factor -f**4/7 + 7*f**3 - 669*f**2/7 + 1679*f/7 - 1058/7.
-(f - 23)**2*(f - 2)*(f - 1)/7
What is a in a**5/6 + 17*a**4/3 + 88*a**3/3 + 112*a**2/3 = 0?
-28, -4, -2, 0
Solve -9*b**2/2 + 6*b = 0 for b.
0, 4/3
Let g**5 + 8*g**4 - 14*g**3 - 48*g**2 - 27*g = 0. Calculate g.
-9, -1, 0, 3
Factor j**2/8 - 17*j/4 - 9.
(j - 36)*(j + 2)/8
Let 4*d**3 - 2428*d**2 - 34580*d - 121716 = 0. Calculate d.
-7, 621
Find c, given that -c**5/3 + 10*c**4/3 + 8*c**3 + 2*c**2/3 - 23*c/3 - 4 = 0.
-1, 1, 12
Factor 6*l**3/5 + 13*l**2/5 + 8*l/5 + 1/5.
(l + 1)**2*(6*l + 1)/5
Factor -63*i**5/2 - 69*i**4/2 - 25*i**3/2 - 3*i**2/2.
-i**2*(3*i + 1)**2*(7*i + 3)/2
Let 4*q**4 + 6760*q**3 + 2856100*q**2 = 0. What is q?
-845, 0
Suppose 10*p**3 + 796*p**2 + 1990*p - 924 = 0. What is p?
-77, -3, 2/5
Suppose o**5 - 9*o**4/4 - o**3/2 + 9*o**2/4 - o/2 = 0. What is o?
-1, 0, 1/4, 1, 2
Factor 4425*u**3/2 - 8847*u**2/2 + 4419*u/2 + 3/2.
3*(u - 1)**2*(1475*u + 1)/2
What is d in -5*d**3/6 - 15*d**2 - 85*d/2 + 455/3 = 0?
-13, -7, 2
Factor -4000*t**4/7 + 167600*t**3/7 - 326040*t**2 + 9242948*t/7 + 11696828/7.
-4*(t + 1)*(10*t - 143)**3/7
Determine a, given that -9*a**3 + 60*a**2 + 27*a - 42 = 0.
-1, 2/3, 7
Let -2*z**3/13 + 18*z**2/13 + 50*z/13 - 66/13 = 0. Calculate z.
-3, 1, 11
Factor -2*q**2 + 228*q - 6106.
-2*(q - 71)*(q - 43)
Factor 2*u**3/7 - 24*u**2/7 + 6*u - 20/7.
2*(u - 10)*(u - 1)**2/7
Factor -3*n**3/4 + 21*n**2/2 - 183*n/4 + 63.
-3*(n - 7)*(n - 4)*(n - 3)/4
Solve -v**3 + 12*v**2 + 60*v + 64 = 0 for v.
-2, 16
Factor -2*v**3/5 + 8*v**2/5 + 168*v/5 