 + 1)**2*(m + 20)/5
Factor -21*t**4 + 141*t**3 + 42*t**2.
-3*t**2*(t - 7)*(7*t + 2)
Solve 2*b**2/9 - 44*b + 2178 = 0.
99
Factor 2*b**3 + 276*b**2 + 9240*b - 19600.
2*(b - 2)*(b + 70)**2
Factor -2*p**3 + 26*p**2 - 96*p + 72.
-2*(p - 6)**2*(p - 1)
Suppose -5*l**3 + 65*l + 60 = 0. Calculate l.
-3, -1, 4
Find r, given that -8*r**4/7 - 1290*r**3/7 - 2874*r**2/7 - 1910*r/7 - 318/7 = 0.
-159, -1, -1/4
Let c**2 - 27*c - 28 = 0. What is c?
-1, 28
Factor 5*v**2 + 660*v - 1340.
5*(v - 2)*(v + 134)
Find t such that 8*t**4 + 402*t**3 + 68*t**2 - 1608*t - 400 = 0.
-50, -2, -1/4, 2
Solve -2*u**2/3 + 38*u/3 = 0 for u.
0, 19
Find n such that -12*n**3 - 764*n**2 - 500*n + 252 = 0.
-63, -1, 1/3
Factor 4*i**5 - 20*i**4 + 8*i**3 + 32*i**2.
4*i**2*(i - 4)*(i - 2)*(i + 1)
Factor -4*w**4 - 60*w**3 - 192*w**2 - 176*w.
-4*w*(w + 2)**2*(w + 11)
Factor -z**2 - 93*z + 808.
-(z - 8)*(z + 101)
Factor -s**2/5 + 117*s/5 - 116/5.
-(s - 116)*(s - 1)/5
Determine l, given that 2*l**3 - 30*l**2 + 54*l - 26 = 0.
1, 13
Solve -z**4 - 24*z**3 + 107*z**2 - 138*z + 56 = 0 for z.
-28, 1, 2
Find w, given that -7*w**5/8 + 61*w**4/8 - 24*w**3 + 31*w**2 - 10*w - 6 = 0.
-2/7, 2, 3
Find c, given that c**4 + 88*c**3/3 + 701*c**2/3 + 812*c/3 + 196/3 = 0.
-14, -1, -1/3
Factor 3*u**4/7 + 30*u**3/7 - 108*u**2/7 + 114*u/7 - 39/7.
3*(u - 1)**3*(u + 13)/7
Let -22*n**4 + 2260*n**3 - 612138*n**2/11 - 1403136*n/11 + 1990656/11 = 0. What is n?
-3, 1, 576/11
Find p, given that -2*p**3/5 - 1238*p**2/5 - 193424*p/5 - 569184/5 = 0.
-308, -3
Find m such that m**2 - 34*m + 273 = 0.
13, 21
Factor l**4/2 - 260*l**3 - 521*l**2/2.
l**2*(l - 521)*(l + 1)/2
Suppose k**4/3 - 13*k**3 - 90*k**2 = 0. Calculate k.
-6, 0, 45
Factor 5*y**4 + 10*y**3 + 5*y**2.
5*y**2*(y + 1)**2
Factor -30*f**2 - 3*f + 27.
-3*(f + 1)*(10*f - 9)
Find d such that -3*d**5/7 + 9*d**4/7 - 9*d**3/7 + 3*d**2/7 = 0.
0, 1
Solve 9*b**3/4 + 165*b**2/4 + 475*b/4 + 375/4 = 0 for b.
-15, -5/3
Solve a**3/5 + 31*a**2/5 + 51*a + 45 = 0 for a.
-15, -1
Let 2*i**3/11 - 40*i**2/11 - 42*i/11 = 0. Calculate i.
-1, 0, 21
Factor -3*a**2/4 + 8505*a/2 - 24111675/4.
-3*(a - 2835)**2/4
Solve 4*s**3 - 556*s**2 + 1100*s - 548 = 0.
1, 137
Factor -2*v**5/3 - 10*v**4 - 100*v**3/3 - 140*v**2/3 - 30*v - 22/3.
-2*(v + 1)**4*(v + 11)/3
Factor 20*j**3 + 5465*j**2 + 6805*j + 1360.
5*(j + 1)*(j + 272)*(4*j + 1)
Solve -5*a**3 - 25*a**2 - 35*a - 15 = 0 for a.
-3, -1
Solve a**5/8 + 13*a**4/4 - 85*a**3/8 + 29*a**2/4 = 0.
-29, 0, 1, 2
Factor -3*d**3 + 27*d**2 - 18*d - 48.
-3*(d - 8)*(d - 2)*(d + 1)
Solve -9*h**3/5 - 21*h**2/5 = 0 for h.
-7/3, 0
Let 2*n**2/11 + 360*n/11 = 0. Calculate n.
-180, 0
Factor q**2/7 + 123*q/7 + 122/7.
(q + 1)*(q + 122)/7
Solve d**3 + 103*d**2 - d - 103 = 0 for d.
-103, -1, 1
Suppose -s**3 + 43*s**2 = 0. Calculate s.
0, 43
What is z in z**5/2 + 13*z**4 - 27*z**3/2 = 0?
-27, 0, 1
Factor l**3 - 53*l**2 + 616*l + 2352.
(l - 28)**2*(l + 3)
Factor 7*c**3/3 - 32*c**2 + 84*c + 80/3.
(c - 10)*(c - 4)*(7*c + 2)/3
Factor -4*m**5/15 + 2*m**4/3 - 2*m**3/5.
-2*m**3*(m - 1)*(2*m - 3)/15
Factor 5*g**4 - 130*g**3 + 540*g**2 + 4050*g + 3375.
5*(g - 15)**2*(g + 1)*(g + 3)
Let l**3 - 89*l**2 - 965*l - 2475 = 0. Calculate l.
-5, 99
Solve 3*b**4 + 15*b**3 - 12*b**2 - 60*b = 0.
-5, -2, 0, 2
Determine z, given that -5*z**3 - 485*z**2 - 3960*z = 0.
-88, -9, 0
Factor -5*c**4 - 90*c**3 - 305*c**2 - 360*c - 140.
-5*(c + 1)**2*(c + 2)*(c + 14)
Let -4*n**2 + 160*n + 164 = 0. Calculate n.
-1, 41
Factor -k**2/2 + 67*k/2 - 33.
-(k - 66)*(k - 1)/2
Factor 2*f**5 - 133*f**4/2 + 1485*f**3/2 - 5687*f**2/2 + 1331*f/2.
f*(f - 11)**3*(4*f - 1)/2
Determine t, given that -t**5 + 1217*t**4 - 555712*t**3 + 112932352*t**2 - 8653094912*t + 8540717056 = 0.
1, 304
Determine b so that 5*b**5 - 15*b**4 + 10*b**3 + 10*b**2 - 15*b + 5 = 0.
-1, 1
What is v in 2*v**2 - 4452*v + 2477538 = 0?
1113
Factor 12*s**3 - 6135*s**2 + 1533*s.
3*s*(s - 511)*(4*s - 1)
Find c, given that -2*c**2/3 - 2690*c/3 + 1796 = 0.
-1347, 2
Solve -9*i**3/2 - 98*i**2 - 145*i/2 + 21 = 0 for i.
-21, -1, 2/9
Let 25*g**5/4 + 55*g**4 + 689*g**3/4 + 451*g**2/2 + 111*g + 18 = 0. Calculate g.
-3, -2, -2/5
Let -2*f**3/11 + 26*f**2/11 + 28*f/11 = 0. Calculate f.
-1, 0, 14
Determine x so that 2*x**3/3 - 146*x**2/3 = 0.
0, 73
Let -w**2/2 + 35*w/2 - 17 = 0. What is w?
1, 34
Factor -2*u**2/13 + 32*u/13.
-2*u*(u - 16)/13
Factor n**2 - n - 2.
(n - 2)*(n + 1)
Factor 3*b**2 - 51*b - 504.
3*(b - 24)*(b + 7)
Let 4*h**3/3 - 112*h**2/3 + 212*h/3 - 104/3 = 0. Calculate h.
1, 26
Suppose c**4/4 + 67*c**3/2 + 1638*c**2 + 68445*c/2 + 1008423/4 = 0. Calculate c.
-39, -17
Solve x**2/4 - 33*x + 1089 = 0.
66
Determine f so that 2*f**4 + 18*f**3 - 212*f**2 + 192*f = 0.
-16, 0, 1, 6
Factor 10*q**4 + 62*q**3 + 102*q**2 + 18*q.
2*q*(q + 3)**2*(5*q + 1)
Solve 4*z**3 - 292*z**2 - 596*z - 300 = 0 for z.
-1, 75
Suppose 5*f**3/4 - 33945*f**2/4 + 76817535*f/4 - 57946027235/4 = 0. What is f?
2263
Factor p**2/11 - 159*p/11 - 486/11.
(p - 162)*(p + 3)/11
Solve 2*a**3/7 + 398*a**2/7 + 790*a/7 + 394/7 = 0.
-197, -1
Factor 4*a**5 - 16*a**4 - 52*a**3 + 160*a**2 + 192*a.
4*a*(a - 4)**2*(a + 1)*(a + 3)
Factor -3*n**3/4 - 9*n**2 - 33*n/4.
-3*n*(n + 1)*(n + 11)/4
Solve -3*n**2 + 156*n - 576 = 0 for n.
4, 48
Factor 3*u**4 + 18*u**3 - 96*u.
3*u*(u - 2)*(u + 4)**2
Determine i, given that -2*i**5/3 + 86*i**4/3 - 420*i**3 + 8036*i**2/3 - 21266*i/3 + 4802 = 0.
1, 7, 21
Find p such that -p**5/11 - 428*p**4/11 - 44923*p**3/11 + 188784*p**2/11 + 233280*p/11 = 0.
-216, -1, 0, 5
Find t such that 3*t**3/2 + 237*t**2 + 939*t/2 + 234 = 0.
-156, -1
Factor -2*d**2/15 - 668*d/5 - 167334/5.
-2*(d + 501)**2/15
Factor 2*v**2 - 336*v - 338.
2*(v - 169)*(v + 1)
Factor -72*u**4 + 372*u**3 + 130*u**2 + 11*u.
-u*(2*u - 11)*(6*u + 1)**2
Factor -5*c**3 - 2155*c**2 - 8560*c - 8540.
-5*(c + 2)**2*(c + 427)
Suppose -2*j**2 + 272*j - 1310 = 0. What is j?
5, 131
Factor 3*u**3 + 30*u**2 + 84*u + 72.
3*(u + 2)**2*(u + 6)
Factor -t**3/4 - 43*t**2/2 + 357*t/4 - 135/2.
-(t - 3)*(t - 1)*(t + 90)/4
Determine p so that -6*p**3 + 74*p**2 + 1240*p + 792 = 0.
-9, -2/3, 22
Determine d, given that -2*d**5/3 + 4*d**4 + 2*d**3/3 - 76*d**2/3 + 64/3 = 0.
-2, -1, 1, 4
Suppose -r**3 - 13*r**2/2 - 27*r/2 - 9 = 0. Calculate r.
-3, -2, -3/2
Let 2*h**2 - 2482*h - 4972 = 0. Calculate h.
-2, 1243
Solve -289*g**3/6 + 85*g**2/2 + 11*g/2 + 1/6 = 0 for g.
-1/17, 1
Solve 2*o**5/9 + 22*o**4/9 + 74*o**3/9 + 58*o**2/9 - 76*o/9 - 80/9 = 0 for o.
-5, -4, -2, -1, 1
Factor -4*l**3/7 + 728*l**2 - 231868*l.
-4*l*(l - 637)**2/7
Factor -2*x**4/17 + 364*x**3 - 4792602*x**2/17 + 562744*x - 4780232/17.
-2*(x - 1546)**2*(x - 1)**2/17
Determine v, given that -2*v**4/7 + 12*v**2/7 - 16*v/7 + 6/7 = 0.
-3, 1
Suppose -3*a**3 - 24*a**2 - 33*a + 60 = 0. What is a?
-5, -4, 1
Factor -w**3/8 + 249*w**2/8 - 247*w/4.
-w*(w - 247)*(w - 2)/8
Factor 2*z**2/9 + 6*z.
2*z*(z + 27)/9
Factor 2*h**3 + 1490*h**2/9 + 1144*h/9 - 328/9.
2*(h + 1)*(h + 82)*(9*h - 2)/9
Factor -5*z**2 + 65*z - 210.
-5*(z - 7)*(z - 6)
Factor -5*d**3 + 25*d**2 + 30*d.
-5*d*(d - 6)*(d + 1)
What is y in 75*y**3 - 440*y**2 + 335*y - 50 = 0?
1/5, 2/3, 5
Let 18*b**5/13 - 186*b**4/13 - 658*b**3/13 + 402*b**2/13 + 544*b/13 - 24 = 0. Calculate b.
-3, -1, 2/3, 13
Determine s so that 4*s**5/3 + 572*s**4/3 + 5468*s**3/3 + 19924*s**2/3 + 10688*s + 6384 = 0.
-133, -3, -2
Factor -3*n**4/7 + 135*n**3/7 - 207*n**2 - 1587*n/7.
-3*n*(n - 23)**2*(n + 1)/7
Let 2*m**2/3 - 130*m/3 + 124 = 0. What is m?
3, 62
Find u such that 7*u**2 + 10*u + 3 = 0.
-1, -3/7
Factor q**3/5 - 4*q**2 + 99*q/5.
q*(q - 11)*(q - 9)/5
Find t, given that 3*t**2/7 - 12*t + 156/7 = 0.
2, 26
Suppose -3*h**3/4 - 417*h**2/2 - 57963*h/4 = 0. What is h?
-139, 0
Determine v so that -2*v**3 + 4*v**2 + 6*v = 0.
-1, 0, 3
Solve 20*k**3 + 188*k**2 + 200*k - 192 = 0 for k.
-8, -2, 3/5
Factor 24*v**4 - 20*v**3 - 52*v**2 - 8*v.
4*v*(v - 2)*(v + 1)*(6*v + 1)
Factor -3*n**2 + 498*n - 20667.
-3*(n - 83)**2
Solve d**3/2 - 3*d**2 + 3*d/2 + 5 = 0 for d.
-1, 2, 5
Factor w**2 - 15*w - 54.
(w - 18)*(w + 3)
Factor 3*o**2 - 102*o + 867.
3*(o - 17)**2
What is n in -2*n**2/9 + 1498*n/9 - 1496/9 = 0?
1, 748
Suppose r**4 - 12*r**3 + 48*r**2 - 80*r + 48 = 0. What is r?
2, 6
Suppose v**3 + 3*v**2 - 9*v - 27 = 0. Calculate v.
-3, 3
Let 5*i**5 - 7295*i**4 + 2671775*i**3 - 7971605*i**2 + 79570