u*(u - 2)*(u + 1)*(u + 5)/2
Factor 3*c**2 + 9039*c.
3*c*(c + 3013)
Suppose 4*i**2/3 + 8980*i/3 + 17944/3 = 0. Calculate i.
-2243, -2
Factor -14*x**2 - 242*x - 68.
-2*(x + 17)*(7*x + 2)
Factor -2*v**3/9 + 1636*v**2/9.
-2*v**2*(v - 818)/9
Suppose 2*q**2/17 + 4768*q/17 + 2841728/17 = 0. Calculate q.
-1192
Factor -7*d**2/5 - 8*d/5 - 1/5.
-(d + 1)*(7*d + 1)/5
Factor -20*q**2 + 13508*q - 5400.
-4*(q - 675)*(5*q - 2)
Factor 4*r**5 - 1288*r**4 + 144688*r**3 - 6320736*r**2 + 75907584*r - 271669248.
4*(r - 102)**3*(r - 8)**2
Suppose 3*h**3/4 - 93*h**2/4 - 33*h + 288 = 0. What is h?
-4, 3, 32
What is f in f**3/3 + 2168*f**2 + 4700224*f + 10190085632/3 = 0?
-2168
Determine d, given that 30*d**5 - 244*d**4 + 602*d**3 - 436*d**2 + 48*d = 0.
0, 2/15, 1, 3, 4
Factor 3*l**5 - 39*l**4 + 99*l**3 + 231*l**2 - 294*l.
3*l*(l - 7)**2*(l - 1)*(l + 2)
What is i in -12*i**5/5 + 44*i**4 - 216*i**3 - 168*i**2 + 2548*i - 4116/5 = 0?
-3, 1/3, 7
Determine h so that 3*h**4/4 - 18*h**3 - 81*h**2/4 + 75*h/2 = 0.
-2, 0, 1, 25
Factor -l**2/2 - 15*l + 31/2.
-(l - 1)*(l + 31)/2
Factor -2*k**2/7 - 272*k/7 - 9248/7.
-2*(k + 68)**2/7
Factor -l**2 + 60*l - 59.
-(l - 59)*(l - 1)
Solve 3*o**4 - 900*o**3 + 68394*o**2 - 134100*o + 66603 = 0.
1, 149
Suppose -20*o**5 - 75*o**4 + 60*o**3 + 230*o**2 - 240*o + 45 = 0. Calculate o.
-3, 1/4, 1
Determine m, given that 2*m**5 - 12*m**4 - 16*m**3 + 12*m**2 + 14*m = 0.
-1, 0, 1, 7
Determine g, given that g**2/8 - 5*g/2 + 91/8 = 0.
7, 13
Factor 3*f**4 + 78*f**3 - 165*f**2 + 84*f.
3*f*(f - 1)**2*(f + 28)
Determine z so that -z**2/7 - 90*z/7 + 13 = 0.
-91, 1
Let -3*s**5 - 51*s**4 + 180*s**3 = 0. Calculate s.
-20, 0, 3
Factor 5*i**2 - 206*i - 432.
(i + 2)*(5*i - 216)
Determine i, given that -4*i**5 - 8*i**4 + 12*i**3 + 32*i**2 + 16*i = 0.
-2, -1, 0, 2
Determine n, given that -2*n**4/5 - 2*n**3/5 + 12*n**2 - 152*n/5 + 112/5 = 0.
-7, 2
Factor -3*f**4/5 - 78*f**3/5 - 216*f**2/5 - 42*f - 69/5.
-3*(f + 1)**3*(f + 23)/5
Suppose 7*v**5/6 - 62*v**4/3 + 391*v**3/6 + 691*v**2/3 + 530*v/3 + 100/3 = 0. What is v?
-1, -2/7, 10
Suppose p**2/2 + 2*p - 5/2 = 0. Calculate p.
-5, 1
Factor -5*q**4 - 265*q**3 + 885*q**2 + 2385*q - 7560.
-5*(q - 3)**2*(q + 3)*(q + 56)
Solve 2*g**4 - 10*g**3 - 24*g**2 + 72*g = 0.
-3, 0, 2, 6
Solve -2*z**5/11 + 454*z**4/11 - 900*z**3/11 = 0.
0, 2, 225
What is j in 28*j**4 - 136*j**3 - 188*j**2 - 24*j = 0?
-1, -1/7, 0, 6
Determine s, given that -2*s**4/5 + 242*s**3/5 - 236*s**2/5 - 96*s = 0.
-1, 0, 2, 120
Determine z, given that 2*z**5/23 + 56*z**4/23 + 490*z**3/23 + 1396*z**2/23 + 1536*z/23 + 576/23 = 0.
-12, -2, -1
Solve h**5 - 20*h**4/9 + 4*h**3/9 + 2*h**2 - 13*h/9 + 2/9 = 0 for h.
-1, 2/9, 1
Factor -h**2/6 + 16*h/3 - 10.
-(h - 30)*(h - 2)/6
Suppose 252*c**4 + 564*c**3 + 160*c**2 = 0. Calculate c.
-40/21, -1/3, 0
Factor 3*z**2 + 999*z - 2010.
3*(z - 2)*(z + 335)
Factor -2*n**2 - 10412*n - 13551218.
-2*(n + 2603)**2
Factor 3*x**4/5 + 882*x**3/5 + 86436*x**2/5 + 2823576*x/5.
3*x*(x + 98)**3/5
Let -2*n**3 + 10*n**2 - 14*n + 6 = 0. Calculate n.
1, 3
Solve -2*z**5 - 28*z**4 + 20*z**3 + 592*z**2 - 258*z - 2340 = 0 for z.
-13, -5, -2, 3
Find h such that h**4 + 34*h**3 - 72*h**2 = 0.
-36, 0, 2
Solve 3*w**5 - 111*w**4 + 99*w**3 + 339*w**2 - 546*w + 216 = 0 for w.
-2, 1, 36
What is k in -2*k**5 + 20*k**4 - 10*k**3 - 200*k**2 + 192*k = 0?
-3, 0, 1, 4, 8
Suppose h**2 - 3*h/2 - 1 = 0. What is h?
-1/2, 2
Factor 9*u**2/2 - 17*u - 4.
(u - 4)*(9*u + 2)/2
Determine d, given that -d**4/9 - d**3/3 + d**2/3 + 7*d/9 - 2/3 = 0.
-3, -2, 1
Factor r**5 + 31*r**4 + 318*r**3 + 1184*r**2 + 896*r.
r*(r + 1)*(r + 8)**2*(r + 14)
Factor x**2/2 + 132*x + 263/2.
(x + 1)*(x + 263)/2
Suppose -2*w**2 - 952*w - 1896 = 0. What is w?
-474, -2
Factor 4*l**2 + 11256*l + 7918596.
4*(l + 1407)**2
What is u in 8*u**5/5 + 22*u**4/5 - 54*u**3/5 - 52*u**2/5 + 16*u/5 = 0?
-4, -1, 0, 1/4, 2
Let -320*u**4 - 133520*u**3 + 100260*u**2 - 25075*u + 2090 = 0. Calculate u.
-418, 1/4
Solve 5*u**5 + 19*u**4 + 26*u**3 + 14*u**2 + u - 1 = 0 for u.
-1, 1/5
Solve 3*h**3 - 5058*h**2 + 2136996*h - 4253784 = 0 for h.
2, 842
Determine v, given that -2*v**5/9 + 64*v**4/9 - 160*v**3/3 - 2236*v**2/9 + 24674*v/9 + 8788/3 = 0.
-6, -1, 13
Factor -4*v**3 + 2516*v**2 - 394380*v - 396900.
-4*(v - 315)**2*(v + 1)
Suppose s**3 + 138*s**2 + 407*s + 270 = 0. Calculate s.
-135, -2, -1
What is o in -4*o**4 - 2668*o**3 - 443552*o**2 + 446224*o = 0?
-334, 0, 1
Factor r**3/8 - 67*r**2/8 - 69*r/4.
r*(r - 69)*(r + 2)/8
Find p, given that 12*p**5/5 + 15*p**4 + 114*p**3/5 + 24*p**2/5 = 0.
-4, -2, -1/4, 0
Factor 2*t**4/5 - 204*t**3/5 + 5202*t**2/5.
2*t**2*(t - 51)**2/5
Suppose -n**2/3 + 50*n + 151/3 = 0. Calculate n.
-1, 151
Solve -5*k**3/2 + 135*k**2/2 + 285*k/2 + 145/2 = 0.
-1, 29
Factor m**5 + 22*m**4 + 123*m**3 + 290*m**2 + 308*m + 120.
(m + 1)*(m + 2)**3*(m + 15)
Find t such that 4*t**3 + 168*t**2 - 16*t - 672 = 0.
-42, -2, 2
Let z**4/11 + 6*z**3/11 + 13*z**2/11 + 12*z/11 + 4/11 = 0. What is z?
-2, -1
Factor 3*d**3/5 - 489*d**2/5 + 20169*d/5 - 19683/5.
3*(d - 81)**2*(d - 1)/5
Determine y, given that y**3/6 + y**2/2 - 2*y/3 = 0.
-4, 0, 1
Solve -2*l**3 - 12*l**2 - 22*l - 12 = 0 for l.
-3, -2, -1
Determine r so that 12*r**5 + 8798*r**4 + 1462*r**3 - 2932*r**2 = 0.
-733, -2/3, 0, 1/2
Suppose -3*q**5 + 615*q**4 - 606*q**3 - 1224*q**2 = 0. What is q?
-1, 0, 2, 204
Let 2*y**3/15 + 1846*y**2/15 - 2*y/15 - 1846/15 = 0. Calculate y.
-923, -1, 1
Suppose 2*n**2/11 + 64*n/11 + 512/11 = 0. What is n?
-16
Let 4*u**5 + 100*u**4 + 552*u**3 - 760*u**2 - 556*u + 660 = 0. Calculate u.
-15, -11, -1, 1
Determine z, given that -3*z**3/2 - 33*z**2 - 363*z/2 = 0.
-11, 0
Factor -3*l**2/5 + 237*l/5 - 462/5.
-3*(l - 77)*(l - 2)/5
Suppose 18*u**4 - 58*u**3 + 48*u**2 - 8*u = 0. What is u?
0, 2/9, 1, 2
What is k in -3*k**4 - 81*k**3 - 699*k**2 - 2331*k - 2646 = 0?
-14, -7, -3
Factor l**2 - 1147*l - 2298.
(l - 1149)*(l + 2)
Find h, given that -h**3/7 - 251*h**2/7 - 15875*h/7 - 15625/7 = 0.
-125, -1
Suppose -3*d**2 + 12*d + 15 = 0. What is d?
-1, 5
What is j in -j**4/5 - 76*j**3/5 - 221*j**2/5 - 146*j/5 = 0?
-73, -2, -1, 0
Suppose -2*n**3 - 34*n**2 - 160*n - 128 = 0. What is n?
-8, -1
Find j such that j**4 + 46*j**3 + 789*j**2 + 5980*j + 16900 = 0.
-13, -10
Determine o so that -2*o**5 + 4*o**4 + 1738*o**3 - 1740*o**2 = 0.
-29, 0, 1, 30
Factor -2*n**3/13 - 4*n**2 - 384*n/13 - 576/13.
-2*(n + 2)*(n + 12)**2/13
What is x in 4*x**5 - 276*x**4 - 1168*x**3 = 0?
-4, 0, 73
Find m, given that -4*m**2 + 52*m + 120 = 0.
-2, 15
Find f such that f**3/3 - 1330*f**2 + 1768900*f - 2352637000/3 = 0.
1330
Suppose 3*d**5 + 45*d**4 + 222*d**3 + 330*d**2 - 225*d - 375 = 0. What is d?
-5, -1, 1
Determine y so that -162*y**5/5 + 6708*y**4/5 - 67402*y**3/5 - 42672*y**2/5 + 3528*y/5 = 0.
-2/3, 0, 2/27, 21
Determine q, given that 2*q**2/13 + 20*q/13 + 18/13 = 0.
-9, -1
What is l in 2*l**3 - 34*l**2 + 188*l - 336 = 0?
4, 6, 7
Solve 2*y**5/7 - 32*y**4/7 + 58*y**3/7 - 4*y**2 = 0 for y.
0, 1, 14
Suppose 4*y**4 - 2788*y**3 + 484412*y**2 + 487204*y = 0. What is y?
-1, 0, 349
Solve 2*j**2 + 148*j + 146 = 0 for j.
-73, -1
Solve 2*h**4/5 - 354*h**3/5 - 216*h**2 = 0 for h.
-3, 0, 180
Find o such that -3*o**3/5 - 6*o**2/5 + 3*o/5 + 6/5 = 0.
-2, -1, 1
Suppose 2*p**2/9 + 1192*p/9 + 177608/9 = 0. Calculate p.
-298
Let -2*t**5 - 8*t**4 - 10*t**3 - 4*t**2 = 0. What is t?
-2, -1, 0
Find u such that -u**3/5 - 12*u**2 + 61*u/5 = 0.
-61, 0, 1
Factor -3*r**2 - 342*r - 9747.
-3*(r + 57)**2
Factor -j**5/4 - 7*j**4/2 - 61*j**3/4 - 21*j**2 - 9*j.
-j*(j + 1)**2*(j + 6)**2/4
Determine s, given that -4*s**3/7 - 1788*s**2/7 + 256*s = 0.
-448, 0, 1
Let -2*m**5/5 + 74*m**4 - 2876*m**3/5 + 7836*m**2/5 - 8514*m/5 + 3186/5 = 0. What is m?
1, 3, 177
Solve -o**5 - 5*o**4 - 8*o**3 - 4*o**2 = 0.
-2, -1, 0
Determine z so that 2*z**4 - 22*z**3 - 50*z**2 - 26*z = 0.
-1, 0, 13
Solve -275*t**3/4 + 100*t**2 - 131*t/4 + 3/2 = 0.
3/55, 2/5, 1
Factor -3*v**2 - 1404*v - 1401.
-3*(v + 1)*(v + 467)
Factor 2*g**2/15 - 28*g/15 - 48/5.
2*(g - 18)*(g + 4)/15
What is i in -10*i**2 + 3416*i + 1368 = 0?
-2/5, 342
Factor -2*f**3/19 + 372*f**2/19 - 17664*f/19 + 33856/19.
-2*(f - 92)**2*(f - 2)/19
Find c such that -14*c**5/11 - 18*c**4/11 + 150*c**3/11 + 170*c**2/11 - 216*c/11 - 72/11 = 0.
-3, -2, -2/7, 1, 3
Factor 8100*r**4 + 2900520*r