660*t + 2700 = 0.
-3, -1/2, 10
Suppose c**3/2 + 21*c**2 + 294*c + 1372 = 0. What is c?
-14
Let 3*r**4 + 72*r**3 + 195*r**2 + 126*r = 0. What is r?
-21, -2, -1, 0
Determine d, given that d**4/4 + 47*d**3/4 + 89*d**2 + 127*d - 228 = 0.
-38, -6, -4, 1
Suppose 4*c**3 - 300*c**2 = 0. Calculate c.
0, 75
Factor 3*d**2 - 3*d - 18.
3*(d - 3)*(d + 2)
Determine x so that -5*x**5 - 20*x**4 + 50*x**2 + 5*x - 30 = 0.
-3, -2, -1, 1
Factor -12*t**2 + 218*t/3 - 4.
-2*(t - 6)*(18*t - 1)/3
Factor -h**3/5 - 81*h**2/5 - 1599*h/5 + 1681/5.
-(h - 1)*(h + 41)**2/5
Solve 5*n**3 + 55*n**2 + 120*n = 0 for n.
-8, -3, 0
Factor 2*v**3/5 - 8*v**2/15 - 136*v/15 - 64/5.
2*(v - 6)*(v + 2)*(3*v + 8)/15
Factor 5*g**3 - 130*g**2 + 600*g.
5*g*(g - 20)*(g - 6)
Factor 4*f**3/3 - 68*f**2/3 - 172*f - 276.
4*(f - 23)*(f + 3)**2/3
Solve -4*g**3 + 100*g**2 + 724*g + 620 = 0.
-5, -1, 31
Let n**2 - 193*n + 382 = 0. What is n?
2, 191
What is a in -4*a**3/7 - 2272*a**2/7 - 6788*a/7 - 4520/7 = 0?
-565, -2, -1
Find t, given that -t**3/6 - t**2/2 - t/3 = 0.
-2, -1, 0
Factor -5*z**3 + 595*z**2 + 1205*z + 605.
-5*(z - 121)*(z + 1)**2
Factor z**2 + 4*z + 4.
(z + 2)**2
Determine y so that 16*y**5/5 + 128*y**4/5 - 524*y**3/5 - 2212*y**2/5 - 352*y - 80 = 0.
-10, -2, -1/2, 5
Factor k**3 + 3*k**2 - 46*k + 72.
(k - 4)*(k - 2)*(k + 9)
Factor 3*l**2/5 + 1494*l/5 + 186003/5.
3*(l + 249)**2/5
Let -2*c**5/5 + 56*c**4/15 - 32*c**3/5 - 244*c**2/15 + 26*c - 20/3 = 0. Calculate c.
-2, 1/3, 1, 5
Factor -2*p**2/7 - 256*p/7.
-2*p*(p + 128)/7
Suppose 5*n**2 - 280*n = 0. Calculate n.
0, 56
Suppose -3*d**3 + 825*d**2 - 4062*d + 3240 = 0. What is d?
1, 4, 270
Let 6*h**5 - 32*h**4 - 26*h**3 + 12*h**2 = 0. What is h?
-1, 0, 1/3, 6
Factor z**2 - 33*z + 32.
(z - 32)*(z - 1)
Solve -8*u**5/7 - 380*u**4/7 - 888*u**3/7 + 572*u**2/7 + 1424*u/7 - 720/7 = 0.
-45, -2, 1/2, 1
Suppose k**3/3 + 187*k**2/3 + 2945*k + 2883 = 0. Calculate k.
-93, -1
Let 4*m**5 + 44*m**4 - 164*m**3 + 68*m**2 + 160*m - 112 = 0. What is m?
-14, -1, 1, 2
Determine l so that 9*l**4 - 291*l**3 - 522*l**2 + 396*l + 408 = 0.
-2, -2/3, 1, 34
Find i such that 3*i**2 - 2928*i + 714432 = 0.
488
Suppose -2*w**2/15 + 100*w - 18750 = 0. Calculate w.
375
Let t**5/5 - 7*t**4/5 - 8*t**3/5 = 0. Calculate t.
-1, 0, 8
Suppose 5*r**2 - 240*r + 675 = 0. What is r?
3, 45
Suppose 2*c**4 - 20*c**3 + 66*c**2 - 80*c + 32 = 0. Calculate c.
1, 4
Suppose 2*t**2/3 - 20*t/3 + 50/3 = 0. Calculate t.
5
Find h such that 3*h**3 - 177*h**2 - 366*h = 0.
-2, 0, 61
Factor -t**2 + 1755*t - 5256.
-(t - 1752)*(t - 3)
Factor u**4/6 - 2*u**3/3 - 5*u**2/2 + 3*u.
u*(u - 6)*(u - 1)*(u + 3)/6
Factor -3*f**4 - 177*f**3 - 990*f**2 - 1932*f - 1272.
-3*(f + 2)**3*(f + 53)
Factor -2*b**4/17 - 1368*b**3/17 - 350892*b**2/17 - 40001688*b/17 - 1710072162/17.
-2*(b + 171)**4/17
What is w in 4*w**4/7 - 3*w**3 + 3*w**2 - 4*w/7 = 0?
0, 1/4, 1, 4
Determine f, given that 2*f**4 - 9*f**3 + 2*f**2 + 9*f - 4 = 0.
-1, 1/2, 1, 4
Let -q**3 - 31*q**2 - 30*q = 0. What is q?
-30, -1, 0
Factor -3*h**3/4 + 99*h**2/4 + 279*h/2 + 114.
-3*(h - 38)*(h + 1)*(h + 4)/4
Factor -12*u**3/5 + 72*u**2 - 351*u/5 + 87/5.
-3*(u - 29)*(2*u - 1)**2/5
Suppose 3*q**2 + 24*q + 45 = 0. Calculate q.
-5, -3
Factor -4*k**3/3 - 10*k**2 - 38*k/3 - 4.
-2*(k + 1)*(k + 6)*(2*k + 1)/3
Factor -5*h**3/3 - 1450*h**2/3 + 2915*h/3 - 1460/3.
-5*(h - 1)**2*(h + 292)/3
Factor i**5 - 5*i**4 - 6*i**3 + 38*i**2 - 43*i + 15.
(i - 5)*(i - 1)**3*(i + 3)
Factor -2*h**2 + 276*h + 278.
-2*(h - 139)*(h + 1)
Factor -w**4/6 + 5*w**3/2 - 11*w**2/3 - 10*w + 52/3.
-(w - 13)*(w - 2)**2*(w + 2)/6
Factor -4*h**2/3 - 17*h/3 - 4/3.
-(h + 4)*(4*h + 1)/3
Find g such that -g**5/3 - 7*g**4 - 136*g**3/3 - 48*g**2 + 1280*g/3 + 1024 = 0.
-8, -4, 3
Determine u, given that -u**2 + 23*u + 50 = 0.
-2, 25
Solve 2*n**5 + 18*n**4 + 2*n**3 - 138*n**2 - 220*n - 96 = 0 for n.
-8, -2, -1, 3
Let -9*f**4/2 - 453*f**3/2 - 141*f**2/2 + 453*f/2 + 75 = 0. Calculate f.
-50, -1, -1/3, 1
Factor -5*o**5 + 5*o**4 + 10*o**3.
-5*o**3*(o - 2)*(o + 1)
What is t in t**5 + 17*t**4 - 36*t**3 - 272*t**2 + 896*t - 720 = 0?
-18, -5, 2
Factor -f**3/2 + 181*f**2/2 - 356*f + 354.
-(f - 177)*(f - 2)**2/2
Suppose -2*p**4 + 34*p**3 - 192*p**2 + 360*p = 0. Calculate p.
0, 5, 6
Suppose 3*y**3/5 - 9*y**2 + 216*y/5 - 324/5 = 0. What is y?
3, 6
Let -5*y**5 - 175*y**4 - 1610*y**3 - 1270*y**2 + 1615*y + 1445 = 0. Calculate y.
-17, -1, 1
Suppose -2*v**4/19 - 118*v**3/19 - 116*v**2/19 = 0. What is v?
-58, -1, 0
Factor -2*c**4 + 46*c**3 - 194*c**2 + 258*c - 108.
-2*(c - 18)*(c - 3)*(c - 1)**2
Solve -3*z**3 + 225*z**2 - 5616*z + 46656 = 0 for z.
24, 27
Solve -4*x**5 - 58*x**4 - 272*x**3 - 458*x**2 - 312*x - 72 = 0.
-6, -1, -1/2
Suppose -s**4/4 + s**3/8 + 5*s**2/4 = 0. Calculate s.
-2, 0, 5/2
Determine o, given that 2*o**3 - 6020*o**2 + 4530050*o = 0.
0, 1505
Factor -3*y**2 - 195*y - 192.
-3*(y + 1)*(y + 64)
Factor h**4/3 - 2*h**3 + 4*h**2 - 10*h/3 + 1.
(h - 3)*(h - 1)**3/3
Factor 26*c**4 - 56*c**3 + 34*c**2 - 4*c.
2*c*(c - 1)**2*(13*c - 2)
Factor -s**3 + 6*s**2 + 135*s - 972.
-(s - 9)**2*(s + 12)
Determine y, given that -9*y**4/4 - 3*y**3/2 + 9*y**2/4 + 3*y/2 = 0.
-1, -2/3, 0, 1
Solve -2*o**4 - 10*o**3 - 18*o**2 - 14*o - 4 = 0.
-2, -1
What is l in 2*l**2/7 - 1094*l/7 + 4344/7 = 0?
4, 543
Factor 5*w**3 - 240*w**2 + 465*w - 230.
5*(w - 46)*(w - 1)**2
Solve 3*a**2 - 744*a + 741 = 0 for a.
1, 247
Factor -2*h**3 + 2*h.
-2*h*(h - 1)*(h + 1)
Suppose -2*b**3/15 - 262*b**2/5 + 1586*b/15 + 158 = 0. Calculate b.
-395, -1, 3
Find z such that -z**5/2 + 2*z**4 + z**3/2 - 2*z**2 = 0.
-1, 0, 1, 4
Let 3*u**4 - 67*u**3 + 284*u**2 - 188*u - 272 = 0. Calculate u.
-2/3, 2, 4, 17
Find y, given that 2*y**2/9 + 118*y/9 + 116/9 = 0.
-58, -1
Let 5*a**5 + 40*a**4 + 70*a**3 - 40*a**2 - 75*a = 0. What is a?
-5, -3, -1, 0, 1
Solve -9*p**4 + 489*p**3/5 - 384*p**2/5 - 12*p = 0 for p.
-2/15, 0, 1, 10
Determine l, given that 4*l**2 - 20*l + 24 = 0.
2, 3
Suppose -38*s**2/9 - 4*s/3 = 0. Calculate s.
-6/19, 0
Factor -3*f**2 - 51*f/5 - 18/5.
-3*(f + 3)*(5*f + 2)/5
Factor 3*x**3 - 1059*x**2/5 - 87*x + 639/5.
3*(x - 71)*(x + 1)*(5*x - 3)/5
Factor 2*u**4 - 750*u**3 + 72150*u**2 - 342250*u.
2*u*(u - 185)**2*(u - 5)
Determine o, given that o**2/3 - 2906*o/3 + 2111209/3 = 0.
1453
Solve -4*b**5 - 52*b**4 + 436*b**3 - 380*b**2 = 0 for b.
-19, 0, 1, 5
Suppose -22*w**5 + 46*w**4 + 60*w**3 - 88*w**2 - 80*w = 0. What is w?
-1, -10/11, 0, 2
Find x such that -2*x**2/11 + 444*x/11 = 0.
0, 222
Determine t so that 2*t**3/11 - 8*t**2/11 - 8*t/11 + 32/11 = 0.
-2, 2, 4
Determine q, given that -3*q**5/5 + 27*q**4/5 - 81*q**3/5 + 93*q**2/5 - 36*q/5 = 0.
0, 1, 3, 4
Factor -z**3/2 + 5*z**2/2 + 13*z/2 + 7/2.
-(z - 7)*(z + 1)**2/2
Factor -o**3/6 - 134*o**2/3 - 533*o/6 - 133/3.
-(o + 1)**2*(o + 266)/6
Factor 2*x**3/5 + 6*x**2/5 + 4*x/5.
2*x*(x + 1)*(x + 2)/5
Factor -94*l**2 + 842*l/3 + 4.
-2*(l - 3)*(141*l + 2)/3
Let 2*h**5/15 + 542*h**4/15 - 364*h**3/5 = 0. Calculate h.
-273, 0, 2
Factor 2*f**4 - 38*f**3 - 40*f**2.
2*f**2*(f - 20)*(f + 1)
Solve -2*p**2/7 + 9872*p/7 - 12182048/7 = 0 for p.
2468
Determine p so that 2*p**4/11 + 2*p**3 - 14*p**2/11 - 310*p/11 + 300/11 = 0.
-10, -5, 1, 3
Factor -2*q**3 - 5932*q**2 + 2*q + 5932.
-2*(q - 1)*(q + 1)*(q + 2966)
Solve 3*r**4/5 + 39*r**3/5 - 9*r**2/5 - 111*r/5 + 78/5 = 0.
-13, -2, 1
Let -k**4/3 + 14*k**3/3 - 16*k**2 - 32*k/3 + 256/3 = 0. Calculate k.
-2, 4, 8
Factor 2*h**3/19 - 48*h**2/19 - 8*h/19 + 192/19.
2*(h - 24)*(h - 2)*(h + 2)/19
Solve 11*c**2/5 - 482*c/5 - 88/5 = 0.
-2/11, 44
Factor 3*k**2 + 12162*k + 12326187.
3*(k + 2027)**2
Suppose -2*g**3/5 - 78*g**2/5 - 864*g/5 - 1944/5 = 0. What is g?
-18, -3
Determine p, given that -4*p**5 - 28*p**4 + 12*p**3 + 92*p**2 + 56*p = 0.
-7, -1, 0, 2
Solve 243*v**5/7 - 5103*v**4 - 12*v**3/7 + 252*v**2 = 0.
-2/9, 0, 2/9, 147
Factor 8*s**4/11 + 4250*s**3/11 + 1062*s**2/11.
2*s**2*(s + 531)*(4*s + 1)/11
Factor 3*f**3 - 1563*f**2 + 3117*f - 1557.
3*(f - 519)*(f - 1)**2
What is r in -3*r**4/2 + 68*r**3 - 266*r**2/3 + 88*r/3 = 0?
0, 2/3, 44
Factor -h**5 - 17*h**4 + 6*h**3 + 110*h**2 + 139*h + 51.
-(h - 3)*(h + 1)**3*(h + 17)
Solve -3*q**3 - 357*q**2/4 + 231*q/2 - 93/4 = 0 for q.
-31, 1/4, 1
What is j in -2*j**3 - 1606*j**2 - 1600*j + 3208 = 0?
-802, -2, 1
Suppose -y**3 - y**2 + 33*y - 63 = 0. Calculate y.
-7, 3
Factor 2*g*