**4/3
Factor 5*v**3/4 + 35*v**2/4 - 525*v/4 + 1125/4.
5*(v - 5)*(v - 3)*(v + 15)/4
Factor 2*x**2 + 1970*x + 1968.
2*(x + 1)*(x + 984)
Solve -2*f**2/9 + 34*f/9 = 0.
0, 17
Factor 2*u**2/9 + 904*u/9.
2*u*(u + 452)/9
Factor -2*p**4/7 - 526*p**3/7 - 524*p**2/7.
-2*p**2*(p + 1)*(p + 262)/7
Find f, given that -3*f**3 + 5313*f**2 - 2349672*f - 2354988 = 0.
-1, 886
Factor -q**3/2 + 8863*q**2/2 - 9816880*q - 9821312.
-(q - 4432)**2*(q + 1)/2
Factor 5*o**4 + 185*o**3 + 685*o**2 + 835*o + 330.
5*(o + 1)**2*(o + 2)*(o + 33)
Suppose -3*k**4/8 + 45*k**3/4 + 621*k**2/8 + 120*k + 54 = 0. What is k?
-4, -1, 36
Solve -y**3 - 7*y**2 + 49*y + 55 = 0 for y.
-11, -1, 5
Suppose -2*c**3/11 - 224*c**2/11 = 0. Calculate c.
-112, 0
Factor 3*h**3 + 213*h**2 + 3672*h - 3888.
3*(h - 1)*(h + 36)**2
Find y, given that -4*y**5 + 100*y**4 - 408*y**3 - 3472*y**2 + 7840*y = 0.
-5, 0, 2, 14
What is z in 2*z**3/13 - 4*z**2/13 + 2*z/13 = 0?
0, 1
Find u such that 3*u**4/4 - 477*u**3/4 + 471*u**2/4 + 477*u/4 - 237/2 = 0.
-1, 1, 158
Suppose -a**4/2 - 5*a**3 + 13*a**2/2 + 11*a = 0. Calculate a.
-11, -1, 0, 2
Factor -5*g**4 + 80*g**3 - 295*g**2 + 220*g.
-5*g*(g - 11)*(g - 4)*(g - 1)
Let -3*r**5/2 - 3*r**4/2 + 39*r**3/2 + 3*r**2/2 - 72*r + 54 = 0. Calculate r.
-3, 1, 2
Let -5*b**4 - 125*b**3 - 120*b**2 = 0. What is b?
-24, -1, 0
Factor -4*z**2 + 15544*z - 15100996.
-4*(z - 1943)**2
Factor 4*v**4 - 456*v**3 + 896*v**2.
4*v**2*(v - 112)*(v - 2)
Suppose 4*t**5 + 92*t**4 - 204*t**3 - 92*t**2 + 200*t = 0. What is t?
-25, -1, 0, 1, 2
Factor -2*q**5/9 - 22*q**4/3 - 64*q**3 - 512*q**2/9.
-2*q**2*(q + 1)*(q + 16)**2/9
Let -n**3/3 + 3*n**2 + 40*n + 272/3 = 0. Calculate n.
-4, 17
Find x such that 5*x**4 + 5*x**3 - 35*x**2 - 65*x - 30 = 0.
-2, -1, 3
Determine g so that -3*g**3/8 - 93*g**2/8 - 957*g/8 - 3267/8 = 0.
-11, -9
Solve 5*v**2 - 2200*v + 242000 = 0.
220
What is h in 2*h**3/13 + 2*h**2/13 - 32*h/13 + 40/13 = 0?
-5, 2
Determine h so that 2*h**3/15 - 28*h**2/15 + 22*h/15 + 52/15 = 0.
-1, 2, 13
Solve 3*r**3/7 - 24*r**2/7 - 69*r/7 + 90/7 = 0 for r.
-3, 1, 10
Factor -16*d**2 - 10700*d + 2676.
-4*(d + 669)*(4*d - 1)
Factor -3*z**5 - 6*z**4 + 9*z**3 + 12*z**2 - 12*z.
-3*z*(z - 1)**2*(z + 2)**2
Factor g**2/4 + 99*g/4 + 97/2.
(g + 2)*(g + 97)/4
Determine w so that 18*w**3 + 15916*w**2 + 3520088*w + 781456 = 0.
-442, -2/9
Factor 2*x**3/9 + 2*x**2 + 16*x/9.
2*x*(x + 1)*(x + 8)/9
Factor -2*v**3/9 + 16*v**2/3 - 110*v/3 + 700/9.
-2*(v - 14)*(v - 5)**2/9
Factor 27*b**4/8 + 45*b**3/4 + 111*b**2/8 + 15*b/2 + 3/2.
3*(b + 1)**2*(3*b + 2)**2/8
Factor -d**2/10 + 11*d/10.
-d*(d - 11)/10
Factor -z**4/9 + 431*z**3/9 - 6864*z**2 + 324864*z + 331776.
-(z - 144)**3*(z + 1)/9
Factor 10*i**3 + 238*i**2 - 858*i + 162.
2*(i - 3)*(i + 27)*(5*i - 1)
Factor -4*d**4 + 1148*d**3 - 82940*d**2 + 81796*d.
-4*d*(d - 143)**2*(d - 1)
Factor 6*j**2 + 502*j + 332.
2*(j + 83)*(3*j + 2)
Find r, given that -4*r**5 - 13*r**4 - 3*r**3 + 16*r**2 + 4*r = 0.
-2, -1/4, 0, 1
Factor 3*f**3 + 21*f**2 - 24*f.
3*f*(f - 1)*(f + 8)
Factor -35*h**3 + 230*h**2 - 245*h - 150.
-5*(h - 5)*(h - 2)*(7*h + 3)
Factor -3*t**3/5 + 1986*t**2/5 - 326688*t/5 - 661344/5.
-3*(t - 332)**2*(t + 2)/5
Solve -t**2 + 11*t - 28 = 0 for t.
4, 7
Factor 9*k**3 - 147*k**2 - 636*k - 480.
3*(k - 20)*(k + 1)*(3*k + 8)
Factor -95*n**5 - 390*n**4 - 420*n**3 - 40*n**2.
-5*n**2*(n + 2)**2*(19*n + 2)
Let -4*i**5 + 32*i**4 - 52*i**3 - 104*i**2 + 256*i - 128 = 0. Calculate i.
-2, 1, 4
Factor o**3 + 34*o**2 - 148*o + 152.
(o - 2)**2*(o + 38)
Factor -a**3/2 + a**2 + 81*a/2 + 99.
-(a - 11)*(a + 3)*(a + 6)/2
Solve h**5 + 38*h**4 - 40*h**3 - 38*h**2 + 39*h = 0.
-39, -1, 0, 1
Let 6*k**4 - 2*k**3 - 18*k**2 - 6*k + 4 = 0. What is k?
-1, 1/3, 2
Determine h so that -5*h**3 + 165*h**2 - 580*h = 0.
0, 4, 29
Factor 3*b**4 - 18*b**3 + 24*b**2.
3*b**2*(b - 4)*(b - 2)
Let -3*j**4/2 - 2*j**3 + 2*j**2 = 0. Calculate j.
-2, 0, 2/3
Factor -2*u**2/3 + 8*u/3 + 110.
-2*(u - 15)*(u + 11)/3
Determine b, given that -b**2/2 + 2*b = 0.
0, 4
Suppose 5*c**5 + 715*c**4 - 2200*c**3 - 1400*c**2 + 8720*c - 5840 = 0. What is c?
-146, -2, 1, 2
Factor 4*t**4 - 456*t**3 + 448*t**2 + 456*t - 452.
4*(t - 113)*(t - 1)**2*(t + 1)
Determine p, given that p**3/7 + 13*p**2/7 + 40*p/7 + 36/7 = 0.
-9, -2
Determine x so that -x**2/2 + 197*x - 393/2 = 0.
1, 393
Find r, given that r**4/5 - 2*r**3/5 - 7*r**2/5 - 4*r/5 = 0.
-1, 0, 4
Solve 37636*q**3 - 17266*q**2 - 760*q - 8 = 0.
-2/97, 1/2
Factor -4*b**3/9 + 52*b**2 - 2948*b/3 - 305252/9.
-4*(b - 67)**2*(b + 17)/9
Suppose -11*d**5/5 + 15*d**4 + 5*d**3 - 15*d**2 - 14*d/5 = 0. Calculate d.
-1, -2/11, 0, 1, 7
Factor -3*i**5 - 51*i**4 - 318*i**3 - 870*i**2 - 975*i - 375.
-3*(i + 1)**2*(i + 5)**3
Find q, given that -3*q**4/7 + 102*q**3/7 - 1263*q**2/7 + 6732*q/7 - 13068/7 = 0.
6, 11
Suppose 6*w**2/7 + 821*w/7 - 137/7 = 0. Calculate w.
-137, 1/6
Factor -z**3 + 24*z**2 + 52*z.
-z*(z - 26)*(z + 2)
Factor -f**3 - 32*f**2 - 19*f + 372.
-(f - 3)*(f + 4)*(f + 31)
Determine k so that k**2/4 + 4*k - 9 = 0.
-18, 2
Factor 5*h**3 - 15*h**2.
5*h**2*(h - 3)
Find t such that 2*t**5/17 - 32*t**3/17 + 76*t**2/17 - 66*t/17 + 20/17 = 0.
-5, 1, 2
Factor -m**2 + 25*m - 66.
-(m - 22)*(m - 3)
Determine a so that -10*a**4/11 - 54*a**3/11 - 40*a**2/11 + 72*a/11 + 32/11 = 0.
-4, -2, -2/5, 1
Find v, given that 45*v**4 - 95*v**3 - 125*v**2 + 15*v = 0.
-1, 0, 1/9, 3
Find q, given that -q**3/3 + 32*q**2 + 201*q + 306 = 0.
-3, 102
Factor -f**4 + 13*f**3 - 46*f**2 + 12*f + 72.
-(f - 6)**2*(f - 2)*(f + 1)
Let -10*x**5 - 5*x**4 + 30*x**3 + 20*x**2 - 20*x - 15 = 0. Calculate x.
-1, 1, 3/2
Factor -2*w**3 + 84*w**2 + 266*w + 180.
-2*(w - 45)*(w + 1)*(w + 2)
Find d such that -3*d**3 - 72*d**2 + 6144 = 0.
-16, 8
Factor 2*x**2 + 2888*x + 1042568.
2*(x + 722)**2
Factor j**2/5 - 492*j/5 + 491/5.
(j - 491)*(j - 1)/5
Factor 4*k**2/7 - 1276*k/7 + 3792/7.
4*(k - 316)*(k - 3)/7
Factor -m**5 + 9*m**4 + 3*m**3 - 29*m**2 + 18*m.
-m*(m - 9)*(m - 1)**2*(m + 2)
Find f such that 270*f**3 - 5*f**2 = 0.
0, 1/54
Factor 22*b**2/7 - 348*b/7 - 864/7.
2*(b - 18)*(11*b + 24)/7
Determine s, given that -s**4/2 + 3*s**3 - 2*s**2 - 3*s + 5/2 = 0.
-1, 1, 5
Find l such that 14*l**3/17 - 124*l**2/17 + 310*l/17 - 200/17 = 0.
1, 20/7, 5
Suppose -b**2/5 - 191*b/5 - 564/5 = 0. What is b?
-188, -3
Factor a**2/4 + 5*a/2 + 21/4.
(a + 3)*(a + 7)/4
Factor t**2/6 - 44*t/3 - 89/6.
(t - 89)*(t + 1)/6
Factor h**2 + 19*h + 34.
(h + 2)*(h + 17)
Suppose -b**5 - 3*b**4 + 4*b**3 + 16*b**2 - 16 = 0. Calculate b.
-2, 1, 2
Suppose 20*a**5/3 + 68*a**4 + 520*a**3/3 - 104*a**2/3 - 180*a - 100/3 = 0. What is a?
-5, -1, -1/5, 1
Suppose -30*j**5/23 - 62*j**4/23 + 30*j**3/23 + 70*j**2/23 - 8/23 = 0. What is j?
-2, -1, -2/5, 1/3, 1
Find m, given that 20*m**4 - 365*m**3/3 + 165*m**2 + 30*m - 280/3 = 0.
-2/3, 1, 7/4, 4
Factor -5*s**2 + 10*s - 5.
-5*(s - 1)**2
Factor c**3/6 - 398*c**2 + 316808*c - 252179168/3.
(c - 796)**3/6
Factor 22*u**2/9 + 62*u/9 - 4/3.
2*(u + 3)*(11*u - 2)/9
Factor -2*z**3 - 8*z**2 + 62*z + 140.
-2*(z - 5)*(z + 2)*(z + 7)
Let -c**5/5 + 6*c**3/5 - 8*c**2/5 + 3*c/5 = 0. What is c?
-3, 0, 1
Solve a**5/4 + 3*a**4 - 21*a**3/4 - 23*a**2 + 39*a = 0.
-13, -3, 0, 2
Factor 2*l**2/9 + 4*l/9 - 10/3.
2*(l - 3)*(l + 5)/9
Let -3*n**5/5 - 42*n**4/5 - 27*n**3 = 0. Calculate n.
-9, -5, 0
Suppose -2*g**2/9 + 28*g/3 + 4736/9 = 0. Calculate g.
-32, 74
Factor -3*n**4 - 9*n**3 + 12*n**2 + 36*n.
-3*n*(n - 2)*(n + 2)*(n + 3)
Factor -3*g**5/4 - 33*g**4/4 - 57*g**3/4 - 27*g**2/4.
-3*g**2*(g + 1)**2*(g + 9)/4
What is i in -i**5/4 - i**4 + 19*i**3/4 + 35*i**2/2 - 24*i - 72 = 0?
-4, -2, 3
Determine x so that -2*x**2/5 - 4*x/5 + 16/5 = 0.
-4, 2
Determine c, given that -138425*c**3 + 79590*c**2 - 11580*c + 40 = 0.
2/565, 2/7
Determine j so that -j**5/5 - 2*j**4 + 3*j**3/5 + 32*j**2/5 + 4*j = 0.
-10, -1, 0, 2
Suppose -5*o**3 - 135*o**2 - 730*o - 600 = 0. Calculate o.
-20, -6, -1
Let -4*q**3/7 + 32*q**2/7 + 4*q/7 - 32/7 = 0. What is q?
-1, 1, 8
Factor 2*f**3 + 218*f**2 + 628*f - 848.
2*(f - 1)*(f + 4)*(f + 106)
Determine s, given that -6*s**2/13 + 8*s = 0.
0, 52/3
Factor -3*m**2/4 - 90*m - 357/4.
-3*(m + 1)*(m + 119)/4
Suppose -2*n**2 + 114*n + 116 = 0. Calculate n.
-1, 58
Factor -4*x**3/9 - 68*x**2 - 3468*x - 58956.
-4*(x + 51)**3/9
Factor -3*q**3 + 102*q**2 - 99*q.
-3*q*(q - 33)*(q - 1)
Factor -3*y