-24, -1
Solve 6*a**3 + 147*a**2 + 210*a + 69 = 0 for a.
-23, -1, -1/2
Factor -3*m**2 - 2190*m - 399675.
-3*(m + 365)**2
Find j, given that 4*j**4 + 4*j**3 - 12*j**2 - 20*j - 8 = 0.
-1, 2
Factor 60*s**3 + 832*s**2 + 668*s - 104.
4*(s + 1)*(s + 13)*(15*s - 2)
Solve -i**2/2 + 2052*i - 2105352 = 0.
2052
Solve x**5 + 27*x**4 + 75*x**3 + 73*x**2 + 24*x = 0 for x.
-24, -1, 0
Find i, given that 4*i**5 + 212*i**4 + 3428*i**3 + 15916*i**2 + 12696*i = 0.
-23, -6, -1, 0
Let u**5 - 30*u**4 + 152*u**3 - 192*u**2 = 0. What is u?
0, 2, 4, 24
Factor -a**3 - 25*a**2 - 143*a + 169.
-(a - 1)*(a + 13)**2
Determine w so that -4*w**5 + 360*w**4 - 9348*w**3 + 53792*w**2 = 0.
0, 8, 41
Factor 12*p**4 - 123*p**3 + 30*p**2.
3*p**2*(p - 10)*(4*p - 1)
Determine t, given that -3*t**5 - 228*t**4 + 2232*t**3 - 5298*t**2 + 4827*t - 1530 = 0.
-85, 1, 6
Solve -25*h**5 - 6730*h**4 - 456904*h**3 - 529040*h**2 + 644272*h - 143648 = 0.
-134, -2, 2/5
Factor -2*i**2/11 - 19388*i/11 - 46986818/11.
-2*(i + 4847)**2/11
Factor 63*i**2 + 534*i + 240.
3*(i + 8)*(21*i + 10)
Solve -3*f**5 + 69*f**4 - 117*f**3 - 201*f**2 + 240*f + 252 = 0.
-1, 2, 21
Factor -h**2/2 + 2*h - 3/2.
-(h - 3)*(h - 1)/2
Factor l**3/4 - 534*l**2 + 285156*l.
l*(l - 1068)**2/4
Factor -2*s**3 - 38*s**2 + 128*s - 88.
-2*(s - 2)*(s - 1)*(s + 22)
Solve 4*s**3 - 16*s**2 - 112*s - 128 = 0 for s.
-2, 8
Determine p, given that 8*p**4/7 + 78*p**3/7 + 204*p**2/7 + 136*p/7 - 48/7 = 0.
-6, -2, 1/4
Factor -s**2/8 - 13*s/8 - 3/2.
-(s + 1)*(s + 12)/8
Suppose -28*g**3 + 40*g**2 + 124*g - 136 = 0. Calculate g.
-2, 1, 17/7
Factor -3*o**2 + 3*o.
-3*o*(o - 1)
Solve -9*g**4/5 - 318*g**3 - 27381*g**2/5 - 132732*g/5 - 76788/5 = 0 for g.
-158, -9, -2/3
Suppose 2*d**5/11 + 16*d**4/11 + 24*d**3/11 - 64*d**2/11 - 128*d/11 = 0. What is d?
-4, -2, 0, 2
Let 4*x**4 + 56*x**3 - 4*x**2 - 56*x = 0. Calculate x.
-14, -1, 0, 1
Find m such that -4*m**5/5 + 34*m**4/5 - 104*m**3/5 + 28*m**2 - 84*m/5 + 18/5 = 0.
1/2, 1, 3
Factor 3*t**5 + 102*t**4 + 756*t**3 - 1944*t**2.
3*t**2*(t - 2)*(t + 18)**2
Solve 80*h**3 - 636*h**2 + 1168*h + 60 = 0.
-1/20, 3, 5
Let y**5/6 + 5*y**4/6 - 41*y**3/3 + 131*y**2/3 - 101*y/2 + 39/2 = 0. What is y?
-13, 1, 3
Determine d, given that 2*d**4 - 42*d**2 + 40*d = 0.
-5, 0, 1, 4
Let 5*f**2 + 2125*f = 0. What is f?
-425, 0
Determine b, given that -62*b**3/17 - 182*b**2/17 + 1128*b/17 - 72/17 = 0.
-6, 2/31, 3
Let -3*x**2 + 921*x - 6300 = 0. Calculate x.
7, 300
Determine z, given that 4*z**2 + 7576*z/5 - 1516/5 = 0.
-379, 1/5
Factor -63*m**3 + 187*m**2 - 120*m - 4.
-(m - 2)*(m - 1)*(63*m + 2)
Factor 52*c**3/9 - 40*c**2 + 84*c - 48.
4*(c - 3)**2*(13*c - 12)/9
Let 2*t**5/7 - 20*t**4/7 + 76*t**3/7 - 136*t**2/7 + 114*t/7 - 36/7 = 0. Calculate t.
1, 2, 3
Factor -t**2 - 49*t - 48.
-(t + 1)*(t + 48)
Factor -2*i**2 - 96*i + 530.
-2*(i - 5)*(i + 53)
Solve 2*l**4/9 + 58*l**3/9 + 52*l**2/3 - 8*l/9 - 208/9 = 0 for l.
-26, -2, 1
Suppose -5*g**3/4 - 5*g**2/2 + 5*g/4 + 5/2 = 0. Calculate g.
-2, -1, 1
Let -4*f**3 - 16*f**2 + 20*f = 0. What is f?
-5, 0, 1
Suppose 4*c**3 + 172*c**2 + 489*c + 360 = 0. Calculate c.
-40, -3/2
Solve 2*d**3/11 + 16*d**2/11 + 38*d/11 + 24/11 = 0 for d.
-4, -3, -1
Factor -497025*f**2/8 - 705*f/4 - 1/8.
-(705*f + 1)**2/8
Factor 3*x**2 + 54*x + 51.
3*(x + 1)*(x + 17)
Determine d, given that 2*d**4/3 - 16*d**3/3 + 22*d**2/3 + 16*d/3 - 8 = 0.
-1, 1, 2, 6
Find m, given that -m**4/5 + 3*m**3/5 + 21*m**2 - 539*m/5 = 0.
-11, 0, 7
Factor 30*v**2 - 3009*v + 900.
3*(v - 100)*(10*v - 3)
Let 399*j**4/4 - 2385*j**3/8 + 2367*j**2/8 - 771*j/8 - 9/8 = 0. Calculate j.
-3/266, 1
Let -3*a**3/7 - 156*a**2 + 3*a/7 + 156 = 0. What is a?
-364, -1, 1
Factor 4*m**4 - 40*m**3 - 16*m**2 + 160*m.
4*m*(m - 10)*(m - 2)*(m + 2)
Factor -5*q**3 + 5*q**2 + 10*q.
-5*q*(q - 2)*(q + 1)
Factor 18*z**4 - 220*z**3 + 426*z**2 + 1680*z - 392.
2*(z - 7)**2*(z + 2)*(9*z - 2)
Determine j so that -2*j**4 - 36*j**3 - 168*j**2 - 304*j - 192 = 0.
-12, -2
What is m in -2*m**2/9 - 436*m/9 - 23762/9 = 0?
-109
Factor 5*z**4 - 235*z**3 + 660*z**2 + 20*z - 880.
5*(z - 44)*(z - 2)**2*(z + 1)
Let 2*w**3 - 12*w**2 = 0. What is w?
0, 6
Let -a**2/7 + 27*a/7 + 58/7 = 0. What is a?
-2, 29
Determine a so that -2*a**2/11 + 58*a/11 - 240/11 = 0.
5, 24
Factor -5*k**5 + 155*k**4 - 1910*k**3 + 11690*k**2 - 35525*k + 42875.
-5*(k - 7)**3*(k - 5)**2
Factor l**4 - l**3 - 21*l**2 + 41*l - 20.
(l - 4)*(l - 1)**2*(l + 5)
Let -3*p**2/4 - 9*p/4 = 0. What is p?
-3, 0
Determine y, given that -92*y**3 + 3856*y**2 - 40236*y - 3528 = 0.
-2/23, 21
Solve 2*q**2/5 + 886*q/5 - 888/5 = 0.
-444, 1
Factor -39*m**3 - 3*m**2 + 42*m.
-3*m*(m - 1)*(13*m + 14)
Suppose -2*u**3 + 14*u**2 - 24*u = 0. What is u?
0, 3, 4
Factor -i**3 - 7*i**2 + 18*i.
-i*(i - 2)*(i + 9)
Find o, given that 24*o**5/11 - 158*o**4/11 - 490*o**3/11 + 1860*o**2/11 - 944*o/11 + 128/11 = 0.
-4, 1/4, 1/3, 2, 8
Factor 4*u**3 - 15852*u**2 + 20940492*u - 9220796644.
4*(u - 1321)**3
Solve 6*u**2 + 220*u + 144 = 0 for u.
-36, -2/3
Factor -2*u**2/3 + 1880*u + 5642/3.
-2*(u - 2821)*(u + 1)/3
Factor -4*w**3 - 572*w**2/3 - 2240*w + 768.
-4*(w + 24)**2*(3*w - 1)/3
Find l such that -l**3 + 27*l**2 + 88*l + 60 = 0.
-2, -1, 30
Factor q**3/3 - 352*q**2/3 - 595*q.
q*(q - 357)*(q + 5)/3
Factor 4*o**3 - 720*o**2 + 32400*o.
4*o*(o - 90)**2
Find x such that -31*x**2 + 28*x = 0.
0, 28/31
Factor -2*r**2/19 + 18*r/19 - 36/19.
-2*(r - 6)*(r - 3)/19
Factor o**3 + 468*o**2 + 55221*o + 108578.
(o + 2)*(o + 233)**2
Factor 2*l**3/3 - 434*l**2 - 870*l - 1306/3.
2*(l - 653)*(l + 1)**2/3
Determine s, given that 2*s**2 + 672*s + 56448 = 0.
-168
Solve -2*s**5/3 - 34*s**4/9 - 62*s**3/9 - 46*s**2/9 - 4*s/3 = 0.
-3, -1, -2/3, 0
Factor -3*u**3 - 11289*u**2.
-3*u**2*(u + 3763)
Solve d**4/3 + 58*d**3/3 + 1117*d**2/3 + 2668*d + 6348 = 0 for d.
-23, -6
Factor q**2/4 + 37*q/4 + 40.
(q + 5)*(q + 32)/4
Determine s so that 15*s**4/7 + 48*s**3 + 747*s**2/7 + 78*s + 120/7 = 0.
-20, -1, -2/5
Factor 2*i**3/5 - 8*i**2/5 - 22*i/5 - 12/5.
2*(i - 6)*(i + 1)**2/5
Factor 4*j**3/7 + 32*j**2/7 - 36*j/7.
4*j*(j - 1)*(j + 9)/7
Solve v**2/4 + 39*v + 155/4 = 0.
-155, -1
Factor 2*w**3/11 - 12*w**2/11 + 10*w/11 + 24/11.
2*(w - 4)*(w - 3)*(w + 1)/11
Factor 2*n**2/9 + 1004*n/9.
2*n*(n + 502)/9
Factor 20*s**4 + 225*s**3 - 185*s**2 - 60*s.
5*s*(s - 1)*(s + 12)*(4*s + 1)
What is c in -2*c**3 + 478*c**2 + 962*c + 482 = 0?
-1, 241
Find f such that 5*f**3/12 + 77*f**2/12 + 25*f/3 + 7/3 = 0.
-14, -1, -2/5
Find p such that -19*p**4/7 - 51*p**3/7 - 39*p**2/7 - p/7 + 6/7 = 0.
-1, 6/19
What is h in 5*h**4 - 45*h**3 - 115*h**2 + 45*h + 110 = 0?
-2, -1, 1, 11
Determine n so that -2*n**4 - 310*n**3 + 1592*n**2 - 1280*n = 0.
-160, 0, 1, 4
Let k**4/3 + 9*k**3 - 223*k**2/3 + 167*k - 102 = 0. What is k?
-34, 1, 3
Factor 4*n**4 - 80*n**3 + 472*n**2 - 720*n + 324.
4*(n - 9)**2*(n - 1)**2
Let 3*d**4 - 345*d**3 + 9738*d**2 + 10788*d - 20184 = 0. Calculate d.
-2, 1, 58
Factor -4*x**2/7 + 124*x/7 + 128/7.
-4*(x - 32)*(x + 1)/7
Find r, given that -2*r**3/5 + 52*r**2/5 - 46*r/5 - 20 = 0.
-1, 2, 25
Determine w so that -w**5/6 + 13*w**3/3 - 25*w/6 = 0.
-5, -1, 0, 1, 5
Factor -40*t**3 - 175*t**2 - 180*t - 45.
-5*(t + 1)*(t + 3)*(8*t + 3)
Let -3*b**5 - 123*b**4/5 - 339*b**3/5 - 393*b**2/5 - 186*b/5 - 24/5 = 0. Calculate b.
-4, -2, -1, -1/5
Factor 2*q**4 - 4*q**3 - 26*q**2 - 20*q.
2*q*(q - 5)*(q + 1)*(q + 2)
Find u such that -u**2 - u = 0.
-1, 0
Factor -2*m**2/9 + 64*m/9.
-2*m*(m - 32)/9
What is b in 33*b**4/2 - 69*b**3/2 - 357*b**2/2 + 429*b/2 - 18 = 0?
-3, 1/11, 1, 4
Solve -v**2/6 + 23*v = 0 for v.
0, 138
Suppose 4*q**5/7 - 15*q**4/7 + 20*q**3/7 - 10*q**2/7 + 1/7 = 0. Calculate q.
-1/4, 1
Determine p so that -2*p**3/15 + 22*p**2/15 + 986*p/15 - 13294/15 = 0.
-23, 17
Solve 2*j**3/7 - 26*j**2/7 + 12*j/7 + 144/7 = 0 for j.
-2, 3, 12
Factor 3*i**5/7 - 9*i**4/7 - 99*i**3/7 + 321*i**2/7 - 324*i/7 + 108/7.
3*(i - 6)*(i - 1)**3*(i + 6)/7
Factor x**5/4 + 178*x**4 + 124585*x**3/4 - 382339*x**2/2 + 385207*x - 257762.
(x - 2)**3*(x + 359)**2/4
Factor 5*r**4 + 175*r**3 + 1115*r**2 + 945*r.
5*r*(r + 1)*(r + 7)*(r + 27)
Factor 578*n**3 + 6426*n**2 + 750*n + 22.
2*(n + 11)*(17*n + 1)**2
What is q in q**2/3 + 898*q/3 + 201601/3 = 0?
-449
Factor 3*d**4/5 - 153*d**3 + 1518*d**2/5.
3*d**2*(d - 253)*(d - 2)/5
Factor -2*k**3/13 - 22*k**2/13 - 68*k/13 - 48/13.
-2