 -2, 0
Let -2*o**3/11 + 42*o**2/11 - 294*o/11 + 686/11 = 0. What is o?
7
Factor 3*q**4 - 87*q**3 + 525*q**2 - 441*q.
3*q*(q - 21)*(q - 7)*(q - 1)
Suppose -2*o**2/3 - 10*o/3 + 100/3 = 0. What is o?
-10, 5
Find m such that -m**4/7 - 2*m**3/7 + 17*m**2 + 84*m = 0.
-7, 0, 12
Solve -3*y**2/7 - 29*y/7 + 10/7 = 0 for y.
-10, 1/3
Factor 243*x**3/5 + 4266*x**2/5 - 1932*x/5 + 216/5.
3*(x + 18)*(9*x - 2)**2/5
Suppose 2*c**2/9 + 26*c/9 + 44/9 = 0. Calculate c.
-11, -2
Factor 2*k**5 - 8*k**4 + 12*k**3 - 8*k**2 + 2*k.
2*k*(k - 1)**4
Factor 2*l**2 - 1396*l + 2784.
2*(l - 696)*(l - 2)
Solve 2*m**2/7 - 6450*m/7 - 6452/7 = 0.
-1, 3226
Factor 2*d**3/7 + 36*d**2/7 - 24*d + 176/7.
2*(d - 2)**2*(d + 22)/7
Factor 3*l**4 + 33*l**3 + 57*l**2 + 27*l.
3*l*(l + 1)**2*(l + 9)
Factor 15*w**3 - 27*w**2 - 72*w + 84.
3*(w - 1)*(w + 2)*(5*w - 14)
Factor -p**5/2 + 7*p**4/2 - 15*p**3/2 + 9*p**2/2.
-p**2*(p - 3)**2*(p - 1)/2
Solve 125*x**3/6 - 5*x**2/3 = 0 for x.
0, 2/25
Determine t so that -4*t**5/9 + 124*t**4/9 - 1384*t**3/9 + 760*t**2 - 1716*t + 1452 = 0.
3, 11
Factor 3*a**4 + 102*a**3 - 2361*a**2 + 12048*a - 9792.
3*(a - 8)**2*(a - 1)*(a + 51)
What is b in -2*b**4/17 - 10*b**3/17 - 18*b**2/17 - 14*b/17 - 4/17 = 0?
-2, -1
Find p such that 2*p**2/5 + 2*p/5 - 84 = 0.
-15, 14
Let 4*i**4/7 + 8*i**3/7 - 64*i**2/7 - 8*i/7 + 60/7 = 0. What is i?
-5, -1, 1, 3
What is v in -3*v**4 - 15*v**3 - 21*v**2 - 9*v = 0?
-3, -1, 0
Let z**3/3 + 44*z**2 + 1936*z + 85184/3 = 0. Calculate z.
-44
Determine n so that n**3/2 + 151*n**2/2 + 223*n + 148 = 0.
-148, -2, -1
Let -r**2/2 + r/2 + 1 = 0. Calculate r.
-1, 2
Solve 4*r**3 - 296*r**2 + 5760*r - 10368 = 0 for r.
2, 36
Factor -2*a**2/7 - 36*a/7 - 90/7.
-2*(a + 3)*(a + 15)/7
Factor -2*r**3/5 - 18*r**2 + 2*r/5 + 18.
-2*(r - 1)*(r + 1)*(r + 45)/5
Solve -z**5/3 - 577*z**4/3 - 79390*z**3/3 + 1110626*z**2/3 - 3074785*z/3 - 4264225/3 = 0.
-295, -1, 7
Factor 92*d**3 - 300*d**2 + 72*d.
4*d*(d - 3)*(23*d - 6)
Factor -2*l**3 - 26*l**2 - 46*l - 22.
-2*(l + 1)**2*(l + 11)
Factor 2*f**2 - 32.
2*(f - 4)*(f + 4)
Determine s so that -5*s**3 + 10*s**2 + 15*s = 0.
-1, 0, 3
Factor 5*d**3 - 2575*d**2 + 5135*d - 2565.
5*(d - 513)*(d - 1)**2
Factor 2*t**3/9 + 8*t**2/9 + 2*t/3.
2*t*(t + 1)*(t + 3)/9
What is y in -y**5/6 + 151*y**4/6 - 1011*y**3 + 13835*y**2/3 - 37741*y/6 + 5329/2 = 0?
1, 3, 73
Suppose 3*f**4/4 + 195*f**3/4 + 93*f**2/2 - 96*f = 0. What is f?
-64, -2, 0, 1
Factor -5*x**3/2 + 215*x**2/2 - 1440*x + 5670.
-5*(x - 18)**2*(x - 7)/2
Factor -4*o**4 - 5412*o**3 - 2440812*o**2 - 366935404*o.
-4*o*(o + 451)**3
Factor 1091*t**2/7 + 1087*t/7 - 4/7.
(t + 1)*(1091*t - 4)/7
Solve -15*y**5 - 159*y**4 - 384*y**3 + 660*y**2 + 2208*y - 960 = 0 for y.
-5, -4, 2/5, 2
Suppose -120*l**3/7 + 194*l**2/7 - 94*l/7 + 12/7 = 0. Calculate l.
1/5, 2/3, 3/4
Factor -a**4/7 + 26*a**3/7 - 212*a**2/7 + 550*a/7 - 363/7.
-(a - 11)**2*(a - 3)*(a - 1)/7
Suppose 16*d**2 + 44*d + 24 = 0. What is d?
-2, -3/4
Determine s so that -s**3/2 - 14*s**2 - 261*s/2 - 405 = 0.
-10, -9
Let -j**5/3 + 13*j**4/3 + 2*j**3/3 - 26*j**2/3 - j/3 + 13/3 = 0. What is j?
-1, 1, 13
Solve -4*t**4 - 2*t**3 + 4*t**2 + 2*t = 0.
-1, -1/2, 0, 1
Solve 2*t**2 + 58*t = 0 for t.
-29, 0
Factor -5*s**2 + 3265*s + 9840.
-5*(s - 656)*(s + 3)
Solve 6*u**4 + 27*u**3 - 18*u**2 - 15*u = 0 for u.
-5, -1/2, 0, 1
Determine u, given that 5*u**2 + 440*u + 3200 = 0.
-80, -8
Solve 60*h**3 + 16989*h**2 + 2541*h - 1698 = 0.
-283, -2/5, 1/4
Find r, given that 2*r**2/9 + 58*r/9 - 124/9 = 0.
-31, 2
Solve -g**5/2 + 18*g**4 - 28*g**3 - 6272*g**2 + 90552*g - 384160 = 0.
-20, 14
What is z in 2*z**3 - 42*z**2 = 0?
0, 21
Suppose 2*u**4/15 - 82*u**3/15 = 0. What is u?
0, 41
Solve -4*k**5 - 12*k**4 - 4*k**3 + 12*k**2 + 8*k = 0 for k.
-2, -1, 0, 1
What is w in -2*w**4 + 134*w**3/9 - 128*w**2/9 - 184*w/9 + 32/3 = 0?
-1, 4/9, 2, 6
Factor -4*p**2 + 792*p - 788.
-4*(p - 197)*(p - 1)
Let -q**5/3 + q**4/6 + 13*q**3/6 - q**2/3 - 10*q/3 - 4/3 = 0. Calculate q.
-2, -1, -1/2, 2
Suppose -4*l**3 - 36*l**2 + 388*l + 420 = 0. Calculate l.
-15, -1, 7
Determine a so that a**5 - 76*a**4 - 836*a**3 - 2042*a**2 - 1885*a - 602 = 0.
-7, -1, 86
What is q in -18*q**5/7 - 40*q**4/7 + 46*q**3/7 + 12*q**2 - 8*q - 16/7 = 0?
-2, -2/9, 1
Factor 5*i**4 - 40*i**3 + 120*i**2 - 160*i + 80.
5*(i - 2)**4
Suppose 121*d**2/6 + 198*d + 486 = 0. What is d?
-54/11
Factor 2*z**3/21 + 74*z**2/21 + 782*z/21 + 578/7.
2*(z + 3)*(z + 17)**2/21
Determine k so that 23*k**2/11 + 47*k/11 + 2/11 = 0.
-2, -1/23
Suppose h**3/4 + 381*h**2/4 + 378*h + 377 = 0. What is h?
-377, -2
Solve -55*u**5 - 6775*u**4 - 212485*u**3 - 229645*u**2 + 374540*u + 74420 = 0 for u.
-61, -2, -2/11, 1
Factor f**4/12 + f**3/3 - f**2 - 16*f/3 - 16/3.
(f - 4)*(f + 2)**2*(f + 4)/12
Factor -5*n**4 - 8*n**3 - n**2 + 2*n.
-n*(n + 1)**2*(5*n - 2)
Let -3*o**2 + 150*o - 1875 = 0. Calculate o.
25
Solve -2*z**4/11 - 48*z**3/11 - 82*z**2/11 + 12*z = 0 for z.
-22, -3, 0, 1
Let -2*h**2/5 - 7892*h/5 - 7785458/5 = 0. What is h?
-1973
Factor n**5/9 - 10*n**4/9 + 37*n**3/9 - 20*n**2/3 + 4*n.
n*(n - 3)**2*(n - 2)**2/9
Factor -3*d**4 + 6*d**3 - 3*d**2.
-3*d**2*(d - 1)**2
Find n such that -n**2/4 - 3*n/4 - 1/2 = 0.
-2, -1
Suppose -g**5/5 + g**4/5 + 3*g**3/5 - g**2/5 - 2*g/5 = 0. Calculate g.
-1, 0, 1, 2
Factor -4*n**2 - 92*n - 168.
-4*(n + 2)*(n + 21)
Factor -3*n**2 - 24*n + 99.
-3*(n - 3)*(n + 11)
Determine r, given that r**3/3 + 37*r**2/3 - 124*r/3 - 160/3 = 0.
-40, -1, 4
Suppose -128*y**4/9 + 160*y**3 + 2798*y**2/9 + 488*y/3 + 26 = 0. Calculate y.
-1, -3/8, 13
Solve -256*f**4 + 64*f**3 + 252*f**2 - 64*f + 4 = 0 for f.
-1, 1/8, 1
Determine a, given that a**2/9 + a/9 - 2/9 = 0.
-2, 1
Let 5*c**2/6 + 10943*c/6 - 2189/3 = 0. What is c?
-2189, 2/5
Suppose 3*v**4 + 21*v**3 + 30*v**2 = 0. What is v?
-5, -2, 0
Let 15*z**3/7 + 12*z**2/7 - 36*z/7 = 0. Calculate z.
-2, 0, 6/5
Let a**3 + 5*a**2 - 14*a = 0. Calculate a.
-7, 0, 2
Factor 3*o**3 - 57*o - 90.
3*(o - 5)*(o + 2)*(o + 3)
Factor 10*z**2 + 975*z - 490.
5*(z + 98)*(2*z - 1)
Suppose -2*k**5 + 44*k**4 - 40*k**3 - 44*k**2 + 42*k = 0. What is k?
-1, 0, 1, 21
Solve -2*q**4 - 36*q**3 + 78*q**2 - 40*q = 0 for q.
-20, 0, 1
Suppose m**2/2 - 20*m - 225/2 = 0. What is m?
-5, 45
Let 27*c**5 - 357*c**4 + 591*c**3 + 777*c**2 - 198*c = 0. What is c?
-1, 0, 2/9, 3, 11
Let q**5/4 - q**4/4 - 7*q**3/4 + q**2/4 + 3*q/2 = 0. What is q?
-2, -1, 0, 1, 3
Solve d**3/4 - 17*d**2/4 + 7*d/2 + 8 = 0.
-1, 2, 16
Find j, given that -j**2/2 - 24*j + 49/2 = 0.
-49, 1
Determine z so that -2*z**2 - 54*z + 116 = 0.
-29, 2
Factor 25*n**4 + 1170*n**3 + 4065*n**2 - 860*n.
5*n*(n + 4)*(n + 43)*(5*n - 1)
Determine w so that -3*w**3 + 135*w**2 = 0.
0, 45
Factor 3*o**3 + 606*o**2.
3*o**2*(o + 202)
Factor -y**4/5 + 276*y**3/5 - 18484*y**2/5 - 15456*y - 15680.
-(y - 140)**2*(y + 2)**2/5
Suppose 2*f**5/9 - 2*f**4/9 - 40*f**3/9 - 32*f**2/9 + 128*f/9 + 160/9 = 0. What is f?
-2, 2, 5
Find f, given that -f**4/2 - 381*f**3/2 - 1887*f**2/2 - 2635*f/2 - 564 = 0.
-376, -3, -1
Factor 130*i**3 + 5*i**2 - 130*i - 5.
5*(i - 1)*(i + 1)*(26*i + 1)
Find a, given that -180*a**5 - 1623*a**4 - 1407*a**3 + 504*a**2 + 372*a - 96 = 0.
-8, -1, -2/3, 1/4, 2/5
Factor -i**5/2 - 18*i**4 - 229*i**3 - 1144*i**2 - 2541*i/2 + 2662.
-(i - 1)*(i + 4)*(i + 11)**3/2
Solve -4*x**2 + 308*x + 312 = 0.
-1, 78
Determine j so that -j**3 + 9*j**2 - 14*j - 24 = 0.
-1, 4, 6
Suppose -33*o**3 + 204*o**2 - 333*o + 54 = 0. What is o?
2/11, 3
Factor -4000*h**5 - 58800*h**4 + 17880*h**3 - 1796*h**2 + 60*h.
-4*h*(h + 15)*(10*h - 1)**3
Factor z**2/4 - 23*z/4 + 45/2.
(z - 18)*(z - 5)/4
Solve 18*b**5 + 3*b**4 - 33*b**3 - 9*b**2 + 15*b + 6 = 0.
-1, -2/3, -1/2, 1
Suppose -4*a**3 - 224*a**2 - 1500*a + 1728 = 0. Calculate a.
-48, -9, 1
Factor -3*z**3 + 612*z**2 - 41616*z + 943296.
-3*(z - 68)**3
Factor -3*x**5 - 6*x**4 + 18*x**3 + 60*x**2 + 57*x + 18.
-3*(x - 3)*(x + 1)**3*(x + 2)
What is a in -4*a**3 - 12*a**2 - 12*a - 4 = 0?
-1
Find k, given that -2*k**4/7 - 96*k**3/7 + 306*k**2/7 = 0.
-51, 0, 3
Factor -4*o**3 + 8*o**2 + 80*o + 96.
-4*(o - 6)*(o + 2)**2
Factor 3*o**5 - 30*o**3 - 60*o**2 - 45*o - 12.
3*(o - 4)*(o + 1)**4
Suppose -4*f**3 + 1456*f**2 + 11840*f + 23808 = 0. What is f?
-4, 372
Suppose -18*k**3/5 + 96*k**2 - 314*k/5 + 52/5 = 0. Calculate k.
1/3, 26
Factor -4*k**3/5 + 64*k**2/5 - 256*k/5.
-4*k*(k -