3 + 59*w/3 + 122/3.
-(w - 61)*(w + 2)/3
Find x such that -5*x**4 - 95*x**3 - 535*x**2 - 805*x - 360 = 0.
-9, -8, -1
What is n in -3*n**3/4 + 27*n**2 - 324*n + 1296 = 0?
12
Let -j**3 + 22*j**2 = 0. What is j?
0, 22
Factor 3*h**2/4 - 1293*h + 557283.
3*(h - 862)**2/4
Suppose -18*g**5 - 1248*g**4 + 910*g**3 + 4852*g**2 - 3352*g + 560 = 0. What is g?
-70, -2, 1/3, 2
Factor -x**3/4 + 2001*x**2/4 - 1334667*x/4 + 296740963/4.
-(x - 667)**3/4
Let -4*c**4/5 + 12*c**3/5 + 144*c**2/5 + 128*c/5 = 0. What is c?
-4, -1, 0, 8
Suppose 3*j**4/4 - 17*j**3/2 - 27*j**2 - 14*j = 0. Calculate j.
-2, -2/3, 0, 14
Let 9*l**4/4 + 93*l**3/4 + 25*l**2/4 - 49*l/4 + 5/2 = 0. Calculate l.
-10, -1, 1/3
Factor -7*l**3 + 30*l**2 + 27*l - 10.
-(l - 5)*(l + 1)*(7*l - 2)
Factor -5*z**2 + 13865*z + 13870.
-5*(z - 2774)*(z + 1)
Solve 3*u**3/4 + 57*u**2/2 + 111*u/4 = 0.
-37, -1, 0
Suppose x**5/7 + 82*x**4/7 - 167*x**3/7 + 12*x**2 = 0. What is x?
-84, 0, 1
Factor 2*l**3 + 8*l**2 - 2*l - 8.
2*(l - 1)*(l + 1)*(l + 4)
Factor g**5/2 - 3*g**4/2 - 74*g**3 - 424*g**2 - 864*g - 512.
(g - 16)*(g + 1)*(g + 4)**3/2
Factor -d**3/7 + 3*d**2/7.
-d**2*(d - 3)/7
Find f, given that -14*f**3/5 + 808*f**2/5 - 11542*f/5 - 3364/5 = 0.
-2/7, 29
What is f in 2*f**2 + 4*f - 48 = 0?
-6, 4
Factor 2*h**4 + 14*h**3 - 158*h**2 - 1526*h - 2940.
2*(h - 10)*(h + 3)*(h + 7)**2
Factor -p**5 + 10*p**4 + 13*p**3 - 22*p**2.
-p**2*(p - 11)*(p - 1)*(p + 2)
Factor 2*r**4/3 + 10*r**3/3 - 22*r**2/3 - 22*r - 12.
2*(r - 3)*(r + 1)**2*(r + 6)/3
Let 4*h**2/5 + 308*h + 1536/5 = 0. What is h?
-384, -1
Factor b**4/3 - 7*b**3/3 + 5*b**2 - 13*b/3 + 4/3.
(b - 4)*(b - 1)**3/3
Factor -f**2 - 78*f + 79.
-(f - 1)*(f + 79)
Solve u**3 + 17*u**2 = 0.
-17, 0
Factor -2*g**2/15 + 106*g/15 - 104/15.
-2*(g - 52)*(g - 1)/15
Factor -5*o**4 - 5*o**3 + 360*o**2.
-5*o**2*(o - 8)*(o + 9)
Factor -10*g**2 + 8*g + 18.
-2*(g + 1)*(5*g - 9)
Suppose -9*j**5/2 + 123*j**4 - 33*j**3 - 204*j**2 + 75*j/2 + 81 = 0. What is j?
-1, -2/3, 1, 27
Factor -d**4 + 11*d**3.
-d**3*(d - 11)
Factor -3*l**3/7 - 3*l**2 + 90*l/7.
-3*l*(l - 3)*(l + 10)/7
Suppose 12*x**5 + 288*x**4/5 - 213*x**3 - 999*x**2/5 - 15*x + 63/5 = 0. Calculate x.
-7, -1/2, 1/5, 3
Factor 5*j**2 - 1115*j.
5*j*(j - 223)
Suppose -2*l**3/7 + 10*l**2/7 + 16*l/7 - 24/7 = 0. What is l?
-2, 1, 6
Factor 4*a**3 + 24*a**2 + 20*a - 48.
4*(a - 1)*(a + 3)*(a + 4)
Determine m so that -m**2/11 - 6*m - 99 = 0.
-33
Factor 14*o**2/11 - 118*o/11 + 48/11.
2*(o - 8)*(7*o - 3)/11
Factor -189*i**3/5 - 69*i**2/5 - 6*i/5.
-3*i*(7*i + 1)*(9*i + 2)/5
Factor -i**4 + 4*i**2.
-i**2*(i - 2)*(i + 2)
Determine o so that -2*o**3/9 - 20*o**2/9 + 8*o/9 + 80/9 = 0.
-10, -2, 2
What is u in -2*u**3/9 - 28*u**2/9 - 34*u/3 - 12 = 0?
-9, -3, -2
Solve 3*w**4 + 237*w**3 - 2025*w**2 + 5427*w - 4698 = 0 for w.
-87, 2, 3
Let 9*q**5 + 190*q**4 + 308*q**3 - 760*q**2 - 1376*q = 0. What is q?
-172/9, -2, 0, 2
Factor 4*b**4 - 40*b**3 + 32*b**2 + 40*b - 36.
4*(b - 9)*(b - 1)**2*(b + 1)
Find x such that -2*x**4/3 - 11*x**3/3 + 7*x**2 - x/3 - 7/3 = 0.
-7, -1/2, 1
Factor -3*z**3/5 - 357*z**2/5 - 702*z/5.
-3*z*(z + 2)*(z + 117)/5
Determine g, given that -g**2/2 + 8*g - 14 = 0.
2, 14
Suppose -g**2/2 + 206*g = 0. Calculate g.
0, 412
Determine q so that -2*q**5/5 + 472*q**4/5 + 190*q**3 + 476*q**2/5 = 0.
-1, 0, 238
Find y, given that -y**2/2 + 562*y - 157922 = 0.
562
Factor 12*t**3/5 + 429*t**2/5 - 552*t/5 + 111/5.
3*(t - 1)*(t + 37)*(4*t - 1)/5
Factor -2*g**4/11 + 32*g**3/11 - 188*g**2/11 + 480*g/11 - 450/11.
-2*(g - 5)**2*(g - 3)**2/11
Let -4*h**5 + 12*h**4 + 20*h**3 - 108*h**2 + 128*h - 48 = 0. Calculate h.
-3, 1, 2
Factor -2*p**3 - 10*p**2 - 14*p - 6.
-2*(p + 1)**2*(p + 3)
Find a such that 4*a**4 - 28*a**3 + 24*a**2 = 0.
0, 1, 6
Factor x**4/3 - 25*x**3/3 - 273*x**2 - 6419*x/3 - 15778/3.
(x - 46)*(x + 7)**3/3
Find l such that -l**5/2 - 10*l**4/3 + 7*l**3/6 = 0.
-7, 0, 1/3
Factor 2*h**2/7 - 198*h/7 - 1040/7.
2*(h - 104)*(h + 5)/7
Solve -3*z**4/7 + 24*z**3 - 462*z**2 + 3528*z - 9261 = 0 for z.
7, 21
Find k such that -324*k**4 - 27396*k**3 + 68600*k**2 - 26416*k + 2784 = 0.
-87, 2/9, 2
Factor -q**4/5 + 3*q**3 + 117*q**2/5 + 189*q/5.
-q*(q - 21)*(q + 3)**2/5
Determine d, given that 4*d**5 + 296*d**4 + 2172*d**3 + 3928*d**2 - 2176*d - 4224 = 0.
-66, -4, -1, 1
Let 3*k**2/2 + 10899*k + 39596067/2 = 0. What is k?
-3633
Factor 3*q**2/7 + 1188*q/7 + 117612/7.
3*(q + 198)**2/7
Find n such that -n**5/7 + n**4 + 4*n**3/7 - 64*n**2/7 + 144/7 = 0.
-2, 2, 3, 6
Factor -2*v**3 - 4*v**2 + 86*v - 80.
-2*(v - 5)*(v - 1)*(v + 8)
Let 3*v**4 + 93*v**3 + 567*v**2 - 2397*v + 1734 = 0. What is v?
-17, 1, 2
Factor y**2/2 + 741*y + 1481/2.
(y + 1)*(y + 1481)/2
Solve -z**5/2 - 21*z**4/2 - 37*z**3 + 192*z**2 - 144*z = 0 for z.
-12, 0, 1, 2
Suppose 5*p**2/3 + 2770*p = 0. Calculate p.
-1662, 0
Factor 3*j**4 - 24*j**3 + 45*j**2.
3*j**2*(j - 5)*(j - 3)
Factor 2*v**2/13 + 2398*v/13 - 2400/13.
2*(v - 1)*(v + 1200)/13
Factor 6*n**2 + 15*n + 6.
3*(n + 2)*(2*n + 1)
Factor -25*b**2 - 105*b - 80.
-5*(b + 1)*(5*b + 16)
Factor 3*g**4 - 69*g**3 + 453*g**2 - 711*g + 324.
3*(g - 12)*(g - 9)*(g - 1)**2
Factor -2*z**2 + 5*z - 2.
-(z - 2)*(2*z - 1)
Factor k**3 - 56*k**2 + 55*k.
k*(k - 55)*(k - 1)
Let -2*o**2/5 + 36*o/5 = 0. Calculate o.
0, 18
Factor 6*v**4 + 27*v**3 + 21*v**2 - 18*v.
3*v*(v + 2)*(v + 3)*(2*v - 1)
Factor -2*m**4 + 4*m**3 + 38*m**2 - 40*m.
-2*m*(m - 5)*(m - 1)*(m + 4)
Factor 14*g**2/3 - 2272*g/3.
2*g*(7*g - 1136)/3
Solve -2*o**3 + 108*o**2 + 2*o - 108 = 0 for o.
-1, 1, 54
Determine r so that r**4/2 - 12*r**3 + 23*r**2/2 = 0.
0, 1, 23
Factor -t**3/7 - 5*t**2/7 + 344*t/7 - 660/7.
-(t - 15)*(t - 2)*(t + 22)/7
Factor -3*h**3 + 249*h**2 - 4488*h - 29040.
-3*(h - 44)**2*(h + 5)
Factor -2*b**4 - 230*b**3 - 678*b**2 - 674*b - 224.
-2*(b + 1)**3*(b + 112)
Find g such that g**4 - 2*g**3 = 0.
0, 2
Factor 4*v**2 - 3400*v + 722500.
4*(v - 425)**2
Find b, given that 2*b**3/7 + 12*b**2/7 + 24*b/7 + 16/7 = 0.
-2
Solve t**4/3 - 110*t**3/3 - 112*t**2 - 338*t/3 - 113/3 = 0.
-1, 113
Let 104*j**4/9 - 176*j**3/3 + 898*j**2/9 - 178*j/3 + 4 = 0. Calculate j.
1/13, 3/2, 2
Factor -4*r**4 + 32*r**3 - 52*r**2 + 24*r.
-4*r*(r - 6)*(r - 1)**2
Find r such that -r**5/3 + 4*r**4 - 23*r**3/3 - 16*r**2 + 36*r = 0.
-2, 0, 2, 3, 9
Determine l so that 1089*l**4 - 9933*l**3 + 17802*l**2 - 11808*l + 2688 = 0.
2/3, 8/11, 7
Factor 5*n**2/3 - 315*n + 13840/3.
5*(n - 173)*(n - 16)/3
Factor -3*w**2/5 - 28356*w/5 - 67005228/5.
-3*(w + 4726)**2/5
Find r, given that 2*r**3 - 2268*r**2 + 857304*r - 108020304 = 0.
378
Let -2*s**3 - 16*s**2 - 32*s = 0. Calculate s.
-4, 0
Determine y so that 4*y**4 + 16*y**3 + 20*y**2 + 8*y = 0.
-2, -1, 0
What is g in 45*g**5/4 + 273*g**4/4 - 333*g**3/4 - 249*g**2/4 + 45*g + 21 = 0?
-7, -2/3, -2/5, 1
Factor 3*x**2/2 - 75/2.
3*(x - 5)*(x + 5)/2
Suppose 185*o**2/3 + 179*o/9 - 2/9 = 0. Calculate o.
-1/3, 2/185
Suppose 2*k**5/7 - 10*k**4/7 + 2*k**3 + 2*k**2/7 - 16*k/7 + 8/7 = 0. What is k?
-1, 1, 2
Factor h**5/3 - 46*h**4/3 - 95*h**3/3 - 16*h**2.
h**2*(h - 48)*(h + 1)**2/3
Find n such that 5*n**4 + 389*n**3 + 9327*n**2 + 70319*n - 14440 = 0.
-40, -19, 1/5
What is s in 6*s**4 + 75*s**3/2 + 57*s**2 + 12*s = 0?
-4, -2, -1/4, 0
Factor -2*i**2 - 64*i - 312.
-2*(i + 6)*(i + 26)
Factor u**3/4 - 27*u**2/4 + 24*u + 320.
(u - 16)**2*(u + 5)/4
Determine v, given that -4*v**4 - 20*v**3 - 24*v**2 = 0.
-3, -2, 0
Factor -t**4 + 13*t**3/2 + 6*t**2 - 135*t/2.
-t*(t - 5)*(t + 3)*(2*t - 9)/2
Suppose 3*w**4 - 54*w**3 + 168*w**2 = 0. What is w?
0, 4, 14
Find l, given that -5*l**5/4 + 12*l**4 + 205*l**3/4 + 51*l**2 + 13*l = 0.
-2, -1, -2/5, 0, 13
Factor -4*b**2/9 - 16552*b/9 - 17123044/9.
-4*(b + 2069)**2/9
Factor 3*r**5/2 - 21*r**4/2 + 15*r**3 + 27*r**2 - 81*r/2 - 81/2.
3*(r - 3)**3*(r + 1)**2/2
Solve -t**4/3 + 2*t**3/3 + 155*t**2/3 + 188*t + 180 = 0 for t.
-9, -2, 15
Suppose -2*n**3 - 958*n**2 + 1922*n - 962 = 0. What is n?
-481, 1
Determine t so that 3*t**5/4 + 51*t**4/2 + 963*t**3/4 + 408*t**2 + 192*t = 0.
-16, -1, 0
Find k such that -4*k**2 + 12*k + 16 = 0.
-1, 4
Solve 12*r**2 - 51*r + 39 = 0 for r.
1, 13/4
Determine u, given that 2*u**4/7 - 6*u**3/7 - 8*u**2/7 = 0.
-1, 0, 4
Factor -5*o**3 - 100*o**2 + 735*o - 1170.
-5*(o - 3)**2*(o + 26)
Let -2*z**2 + 22*z + 24 = 0. Calculate z.
-1, 12
Factor 6*g**3/11 - 1554*g**2/11 - 1560*g/11.