o that z**2 - 10*z - 11 = 0.
-1, 11
Factor -2*c**3 + 53*c**2 + 143*c + 58.
-(c - 29)*(c + 2)*(2*c + 1)
Determine a so that -3*a**2 - 111*a = 0.
-37, 0
Factor 2*f**3/3 - 4*f**2/21 - 2*f/3 + 4/21.
2*(f - 1)*(f + 1)*(7*f - 2)/21
Factor 2*p**4/5 + 2*p**3/5 - 44*p**2/5 + 88*p/5 - 48/5.
2*(p - 2)**2*(p - 1)*(p + 6)/5
Factor 4*c**3/3 + 9596*c**2/3 + 19180*c/3 + 3196.
4*(c + 1)**2*(c + 2397)/3
Suppose 3*m**5/7 + 894*m**4/7 + 61875*m**3/7 - 103092*m**2 - 111804*m = 0. Calculate m.
-154, -1, 0, 11
Solve -2916*q**5 + 35424*q**4 - 110176*q**3 + 15744*q**2 - 576*q = 0.
0, 2/27, 6
Determine g, given that -4*g**2 + 21*g - 5 = 0.
1/4, 5
Factor 3*t**3 + 459*t**2 + 450*t - 912.
3*(t - 1)*(t + 2)*(t + 152)
Determine h so that 2*h**4/5 - 2706*h**3/5 + 1220406*h**2/5 - 183467702*h/5 = 0.
0, 451
Let g**4 - 11*g**3 + 8*g**2 + 20*g = 0. What is g?
-1, 0, 2, 10
Factor -5*m**3 - 145*m**2 - 820*m - 1100.
-5*(m + 2)*(m + 5)*(m + 22)
Suppose 2*y**2/5 - 26*y/5 + 24/5 = 0. What is y?
1, 12
Let l**3/4 - 7*l**2 + 157*l/4 - 105/2 = 0. Calculate l.
2, 5, 21
Solve 4*r**4 + 8*r**3 - 100*r**2 - 200*r = 0 for r.
-5, -2, 0, 5
Factor -2*f**3/5 + 8*f**2/5 - 6*f/5.
-2*f*(f - 3)*(f - 1)/5
Factor 2*r**5 - 17*r**4/4 + 5*r**3/2 - r**2/4.
r**2*(r - 1)**2*(8*r - 1)/4
Determine f, given that 36*f**5 - 1288*f**4 - 12528*f**3 - 21728*f**2 - 4224*f = 0.
-6, -2, -2/9, 0, 44
Factor o**2/3 + 10*o/3 - 299/3.
(o - 13)*(o + 23)/3
Factor -25*x**3 - 45*x**2 - 24*x - 4.
-(x + 1)*(5*x + 2)**2
Solve 4*c**3/3 - 436*c**2 + 34980*c + 108900 = 0 for c.
-3, 165
Suppose 4*c**3 - 44*c**2 + 56*c + 320 = 0. What is c?
-2, 5, 8
Solve x**3 - 262*x**2 - 527*x - 264 = 0 for x.
-1, 264
Suppose 12*c**2/17 - 166*c/17 = 0. Calculate c.
0, 83/6
Factor -o**2 + 204*o - 10404.
-(o - 102)**2
Let -3*u**5 + 87*u**4 + 2112*u**3 - 112128*u**2 + 1523712*u - 6881280 = 0. What is u?
-35, 16
Suppose -4*r**3/3 - 284*r**2/3 - 1936*r/3 + 1680 = 0. Calculate r.
-63, -10, 2
Suppose 10*d**2/7 - 2174*d/7 + 124 = 0. Calculate d.
2/5, 217
Let 4*l**4 + 4*l**3 - 8*l**2 = 0. What is l?
-2, 0, 1
Factor l**5/3 + 2*l**4 + l**3 - 10*l**2/3.
l**2*(l - 1)*(l + 2)*(l + 5)/3
Factor 2*q**3 + 100*q**2 + 374*q + 276.
2*(q + 1)*(q + 3)*(q + 46)
Let -2*k**3/9 + 56*k**2/3 - 640*k/9 = 0. What is k?
0, 4, 80
What is u in u**2/6 + 35*u/3 + 1225/6 = 0?
-35
Factor -z**2 - 13*z.
-z*(z + 13)
Factor 5*a**2 - 15*a - 20.
5*(a - 4)*(a + 1)
Let -t**3/8 + 3*t**2/2 - 5*t/2 - 12 = 0. Calculate t.
-2, 6, 8
Let -4*a**3 + 780*a**2 - 39168*a + 110592 = 0. What is a?
3, 96
Let 2*p**5/9 - 2*p**4/3 - 2*p**3/9 + 2*p**2/3 = 0. Calculate p.
-1, 0, 1, 3
Find m, given that 62*m**5/13 - 430*m**4/13 + 964*m**3/13 - 680*m**2/13 - 48*m/13 = 0.
-2/31, 0, 2, 3
Determine k, given that k**3/2 + 4*k**2 - 639*k/2 + 315 = 0.
-30, 1, 21
Determine d so that -d**3 - 22*d**2 - 157*d - 360 = 0.
-9, -8, -5
Determine f so that -f**3 + 31*f**2/3 - 88*f/3 + 76/3 = 0.
2, 19/3
Factor 867*s**3/7 + 3162*s**2/7 + 492*s + 168.
3*(s + 2)*(17*s + 14)**2/7
Factor -u**2/3 - 26*u/3 - 25/3.
-(u + 1)*(u + 25)/3
Factor 2*o**3/11 - 4392*o**2/11 + 798*o - 4388/11.
2*(o - 2194)*(o - 1)**2/11
Let 2*a**5/11 - 28*a**4/11 + 128*a**3/11 - 172*a**2/11 - 130*a/11 + 200/11 = 0. Calculate a.
-1, 1, 4, 5
Determine k, given that -2*k**4 + 138*k**3 - 3174*k**2 + 24334*k = 0.
0, 23
Factor 5*u**3 - 9230*u**2 + 18445*u - 9220.
5*(u - 1844)*(u - 1)**2
Suppose -36*f**5 + 492*f**4 - 892*f**3 - 6476*f**2 + 4544*f - 768 = 0. What is f?
-3, 1/3, 8
Suppose -n**4 + 12*n**3 - 21*n**2 + 10*n = 0. What is n?
0, 1, 10
Let -12*v**2 - 1712*v - 1136 = 0. Calculate v.
-142, -2/3
Solve m**3/4 - 97*m/4 - 66 = 0.
-8, -3, 11
Find m such that 3*m**3 + 222*m**2 + 5427*m + 43740 = 0.
-27, -20
Factor -i**2 + 347*i.
-i*(i - 347)
Solve -20*j**2 + 128*j - 48 = 0 for j.
2/5, 6
Factor y**5/5 - 24*y**4 + 590*y**3 + 7800*y**2 + 21125*y.
y*(y - 65)**2*(y + 5)**2/5
Solve 2*x**5/3 + 20*x**4/3 - 62*x**3/3 - 152*x**2/3 + 72*x + 96 = 0 for x.
-12, -2, -1, 2, 3
Let -2*o**3 + 4*o**2/5 = 0. What is o?
0, 2/5
Factor -4*v**3 - 130*v**2 - 688*v - 312.
-2*(v + 6)*(v + 26)*(2*v + 1)
Let -s**3 - 1431*s**2 - 682587*s - 108531333 = 0. Calculate s.
-477
Factor 5*x**3 + 108*x**2 - 44*x.
x*(x + 22)*(5*x - 2)
Let -36*k**5 - 316*k**4 + 72*k**3 = 0. Calculate k.
-9, 0, 2/9
Factor -2*q**3/17 + 6*q**2/17 - 6*q/17 + 2/17.
-2*(q - 1)**3/17
Find j, given that -2*j**4/5 - 18*j**3/5 + 98*j**2/5 - 78*j/5 = 0.
-13, 0, 1, 3
Factor 3*n**4 + 99*n**3 - 315*n**2 + 321*n - 108.
3*(n - 1)**3*(n + 36)
Determine z so that 3*z**4/5 - 123*z**3/5 - 1434*z**2/5 - 960*z - 4896/5 = 0.
-4, -2, 51
Factor b**3 + 24*b**2 - 4*b - 96.
(b - 2)*(b + 2)*(b + 24)
Determine a, given that -a**2 + 12*a + 85 = 0.
-5, 17
Factor i**3/2 + 8*i**2 - 17*i/2.
i*(i - 1)*(i + 17)/2
Find b such that 3*b**3/8 - 435*b**2/8 + 15549*b/8 + 15987/8 = 0.
-1, 73
Let -s**3 + 193*s**2 - 1855*s + 4575 = 0. What is s?
5, 183
Factor g**2 + 736*g + 735.
(g + 1)*(g + 735)
Determine b, given that -b**5 - 4*b**4 + 55*b**3 + 178*b**2 - 780*b - 1800 = 0.
-6, -2, 5
Factor w**2/3 - w - 6.
(w - 6)*(w + 3)/3
Factor -2*p**3 + 140*p**2 - 2146*p - 10952.
-2*(p - 37)**2*(p + 4)
Factor 2*k**2/11 - 6*k/11 - 20/11.
2*(k - 5)*(k + 2)/11
Factor -18*m**3 + 10*m**2 + 72*m - 40.
-2*(m - 2)*(m + 2)*(9*m - 5)
Factor 3*l**3/8 - 9*l**2/8.
3*l**2*(l - 3)/8
Factor x**4 - 114*x**3/7 + 571*x**2/7 - 120*x + 28.
(x - 7)**2*(x - 2)*(7*x - 2)/7
Find b such that b**3 + 141*b**2 - 3816*b + 23760 = 0.
-165, 12
Factor -s**2 + 8*s - 15.
-(s - 5)*(s - 3)
Factor 7*k**5 + 96*k**4 + 392*k**3 + 384*k**2 - 144*k.
k*(k + 2)*(k + 6)**2*(7*k - 2)
Find h, given that -4*h**3 - 252*h**2 - 4092*h - 3844 = 0.
-31, -1
Factor 4*s**5/3 - 4*s**4 - 20*s**3 - 68*s**2/3 - 8*s.
4*s*(s - 6)*(s + 1)**3/3
Factor -2*d**5/15 + 52*d**4/15 + 74*d**3/5 - 1456*d**2/3 - 7840*d/3.
-2*d*(d - 20)**2*(d + 7)**2/15
Suppose 4*a**2 - 6408*a + 19188 = 0. Calculate a.
3, 1599
Suppose -92*n**2/3 + 120*n + 32/3 = 0. What is n?
-2/23, 4
Factor -q**3 + 5*q**2 + 6*q.
-q*(q - 6)*(q + 1)
Factor 4*a**2 + 52*a - 920.
4*(a - 10)*(a + 23)
Factor 2*g**4/3 + 286*g**3/3 - 588*g**2 + 3560*g/3 - 2384/3.
2*(g - 2)**3*(g + 149)/3
Suppose 2*q**5/15 - 16*q**4/15 + 2*q**3 = 0. Calculate q.
0, 3, 5
Factor -a**2/3 - 14*a - 147.
-(a + 21)**2/3
What is g in -g**3/6 - 85*g**2/6 + 43*g/3 = 0?
-86, 0, 1
Factor 3*m**3/4 - 3*m**2 + 3*m.
3*m*(m - 2)**2/4
Suppose -t**5/2 - 5*t**4/2 - t**3/2 + 13*t**2/2 + t - 4 = 0. What is t?
-4, -2, -1, 1
Factor -11858*d**4 - 8162*d**3 + 3408*d**2 - 288*d.
-2*d*(d + 1)*(77*d - 12)**2
Find j, given that j**5/3 + 2*j**4 + 10*j**3/3 - 11*j/3 - 2 = 0.
-3, -2, -1, 1
Factor f**3 - 8*f**2 + 20*f - 16.
(f - 4)*(f - 2)**2
Factor 5*r**5 + 40*r**4 + 10*r**3 - 160*r**2 + 105*r.
5*r*(r - 1)**2*(r + 3)*(r + 7)
Suppose -5*z**2 + 85*z = 0. Calculate z.
0, 17
Factor -2*k**5 - 97*k**4/2 - 300*k**3 - 72*k**2.
-k**2*(k + 12)**2*(4*k + 1)/2
Solve b**4/10 - 3*b**3/5 + b**2/2 + 12*b/5 - 18/5 = 0.
-2, 2, 3
Find n such that -n**2/4 - 13*n/4 = 0.
-13, 0
Factor -2*s**3/5 + 1308*s**2/5 - 285144*s/5 + 20720464/5.
-2*(s - 218)**3/5
Factor 48*g**3 + 141*g**2 + 87*g - 6.
3*(g + 1)*(g + 2)*(16*g - 1)
Factor -9*j**3/4 + 20157*j**2/4 - 13435*j/4 + 2239/4.
-(j - 2239)*(3*j - 1)**2/4
What is h in 3*h**4 - 51*h**3 - 123*h**2 + 171*h = 0?
-3, 0, 1, 19
Factor -c**2/5 - 114*c - 569/5.
-(c + 1)*(c + 569)/5
Factor 4*h**4 + 60*h**3 - 288*h**2 + 304*h.
4*h*(h - 2)**2*(h + 19)
Factor -5*r**2/2 + 22400*r - 50176000.
-5*(r - 4480)**2/2
Solve -4*b**4 + 568*b**3 + 3*b**2 - 427*b + 142 = 0.
-1, 1/2, 142
Determine k, given that 8*k**5 + 50*k**4 + 652*k**3/9 - 56*k**2/9 - 304*k/9 - 64/9 = 0.
-4, -2, -2/3, -1/4, 2/3
Factor -3*g**3 - 165*g**2 - 906*g - 1176.
-3*(g + 2)*(g + 4)*(g + 49)
Solve 3*r**2 - 2052*r + 2049 = 0 for r.
1, 683
Determine y, given that -10*y**3/9 + 46*y**2/9 + 10*y/9 - 46/9 = 0.
-1, 1, 23/5
Suppose -2*l**5/15 + 32*l**4/15 - 104*l**3/15 + 32*l**2/5 = 0. Calculate l.
0, 2, 12
Determine l, given that 4*l**3 - 856*l**2 + 2516*l + 3376 = 0.
-1, 4, 211
Solve -q**5/3 - 32*q**4/3 - 53*q**3/3 + 3098*q**2/3 - 4256*q + 4704 = 0.
-21, 2, 4
What is c in -2*c**2/9 - 938*c/9 + 6664/9 = 0?
-476, 7
Determine v, given that -v**3/5 - v**2/5 + 41*v/5 + 21 = 0.
-5, -3, 7
Let 27*q**4 + 3801*q**3 - 846*q**2 = 0. Calculate q.
-141, 0, 2/9
Suppose -2*g**4 + 116*g**3 + 120*g**2 - 1