at c**5/9 - 23*c**4/9 + 14*c**3/3 + 2*c**2/9 - 43*c/9 + 7/3 = 0.
-1, 1, 21
Solve -2*c**2/9 + 32*c/9 - 128/9 = 0 for c.
8
Factor 3*x**3 - 243*x**2 - 3*x + 243.
3*(x - 81)*(x - 1)*(x + 1)
Factor -2*k**2/5 + 468*k/5 - 27378/5.
-2*(k - 117)**2/5
Factor 2*d**3/15 - 14*d**2/15 + 24/5.
2*(d - 6)*(d - 3)*(d + 2)/15
Find j such that -5*j**2 + 900*j - 1780 = 0.
2, 178
Factor -2*j**3 - 1022*j**2/5 - 1212*j/5.
-2*j*(j + 101)*(5*j + 6)/5
Determine d so that -4*d**2 - 3484*d = 0.
-871, 0
Determine d, given that -3*d**3 + 216*d**2 = 0.
0, 72
What is k in 3*k**3 + 141*k**2 + 1185*k + 2775 = 0?
-37, -5
Determine y so that -4*y**4/3 - 16*y**3/3 + 4*y**2/3 + 16*y/3 = 0.
-4, -1, 0, 1
Determine s so that 4*s**5 + 380*s**4/3 + 1904*s**3/3 + 1216*s**2 + 2944*s/3 + 832/3 = 0.
-26, -2, -1, -2/3
Let 3*l**5 + 54*l**4 + 240*l**3 = 0. Calculate l.
-10, -8, 0
Factor -5*j**3/6 + 11*j**2/3 - 14*j/3 + 4/3.
-(j - 2)**2*(5*j - 2)/6
Factor -2*o**2 - 24*o + 90.
-2*(o - 3)*(o + 15)
Suppose 2*k**5/15 + 4*k**4/15 - 22*k**3/15 - 8*k**2/5 = 0. What is k?
-4, -1, 0, 3
Factor -o**3/7 + 8*o**2/7 - 11*o/7 - 20/7.
-(o - 5)*(o - 4)*(o + 1)/7
Find k, given that 2*k**4/7 + 4*k**3 + 14*k**2 = 0.
-7, 0
Factor 2*t**3 + 78*t**2 + 142*t - 222.
2*(t - 1)*(t + 3)*(t + 37)
Factor 3*i**2 - 20*i/7 - 1/7.
(i - 1)*(21*i + 1)/7
Factor -b**4/2 - 16*b**3 - 165*b**2/2 - 117*b.
-b*(b + 3)**2*(b + 26)/2
Let -2*w**2 + 718*w - 1428 = 0. What is w?
2, 357
Suppose g**5/4 - 135*g**4/4 + 267*g**3/4 - 133*g**2/4 = 0. What is g?
0, 1, 133
What is k in 2*k**3/15 + 188*k**2/15 - 2*k/15 - 188/15 = 0?
-94, -1, 1
Factor i**4/5 - 33*i**3/5 - 36*i**2/5 + 68*i/5.
i*(i - 34)*(i - 1)*(i + 2)/5
Suppose -2*u**5 + 14*u**4 + 160*u**3 + 464*u**2 + 544*u + 224 = 0. Calculate u.
-2, -1, 14
Factor -5*v**2 - 185*v - 180.
-5*(v + 1)*(v + 36)
Determine b so that 20*b**5/7 + 316*b**4/7 - 460*b**3/7 - 860*b**2/7 + 440*b/7 + 544/7 = 0.
-17, -1, -4/5, 1, 2
Factor -6*g**3/7 - 16*g**2/7 - 2*g - 4/7.
-2*(g + 1)**2*(3*g + 2)/7
Solve -5*k**5/3 - 155*k**4 - 10570*k**3/3 + 11510*k**2/3 + 3525*k - 11045/3 = 0 for k.
-47, -1, 1
Determine x so that 145*x**2 + 10285*x - 710 = 0.
-71, 2/29
Solve 15*i**5 + 580*i**4 + 5135*i**3 - 10630*i**2 - 27200*i - 12000 = 0 for i.
-20, -1, -2/3, 3
Factor 2*y**4/21 + 4*y**3/21 - 10*y**2/7 - 24*y/7.
2*y*(y - 4)*(y + 3)**2/21
Find l, given that 2*l**5/15 - 52*l**4/15 + 386*l**3/15 - 208*l**2/5 + 96*l/5 = 0.
0, 1, 12
Suppose 4*i**3 - 48*i**2 + 36*i + 88 = 0. What is i?
-1, 2, 11
Factor 4*s**3/7 - 96*s**2/7 - 4*s/7 + 96/7.
4*(s - 24)*(s - 1)*(s + 1)/7
Suppose -2*f**4/3 - 170*f**3/3 - 160*f**2 + 1000*f/3 + 1312/3 = 0. Calculate f.
-82, -4, -1, 2
Suppose -h**3/6 + 201*h**2 - 80802*h + 10827468 = 0. Calculate h.
402
Solve 4*j**2 - 580*j - 584 = 0.
-1, 146
Determine r so that 3*r**3 + 183*r**2 - 27*r - 1647 = 0.
-61, -3, 3
What is d in -2*d**3/7 - 346*d**2/7 + 348*d/7 = 0?
-174, 0, 1
Factor -5*q**3 + 1445*q**2 - 103675*q - 105125.
-5*(q - 145)**2*(q + 1)
Suppose 4*p**4 + 40*p**3 - 92*p**2 + 48*p = 0. What is p?
-12, 0, 1
Factor q**2/2 - 11*q/2 + 14.
(q - 7)*(q - 4)/2
What is c in -10*c**5/3 + 121*c**4/6 - 130*c**3/3 + 223*c**2/6 - 22*c/3 - 10/3 = 0?
-1/5, 1, 5/4, 2
Factor -4*a**2 - 8*a + 480.
-4*(a - 10)*(a + 12)
Factor 8*o**4 - 852*o**3 - 1296*o**2.
4*o**2*(o - 108)*(2*o + 3)
Determine w so that w**5/4 + 5*w**4/4 + w**3/4 - 21*w**2/4 - 9*w/2 = 0.
-3, -1, 0, 2
Let 98*g**5 - 826*g**4 - 594*g**3 + 754*g**2 + 496*g + 72 = 0. What is g?
-1, -2/7, 1, 9
Factor -3*h**3/4 - 6*h**2 - 57*h/4 - 9.
-3*(h + 1)*(h + 3)*(h + 4)/4
Factor -4*j**3 - 68*j**2 - 208*j.
-4*j*(j + 4)*(j + 13)
Find d such that -d**2/3 + 175*d/3 - 58 = 0.
1, 174
Factor -707281*b**2/2 - 4205*b - 25/2.
-(841*b + 5)**2/2
Factor -68*f**3 + 212*f**2 - 160*f + 16.
-4*(f - 2)*(f - 1)*(17*f - 2)
Factor 3*a**5/7 - 33*a**4/7 + 54*a**3/7 + 6*a**2/7 - 57*a/7 + 27/7.
3*(a - 9)*(a - 1)**3*(a + 1)/7
Factor 3*p**2 - 72*p + 69.
3*(p - 23)*(p - 1)
Factor -3*z**3 - 9*z**2 - 6*z.
-3*z*(z + 1)*(z + 2)
Factor 2*u**4 + 128*u**3 + 370*u**2 + 244*u.
2*u*(u + 1)*(u + 2)*(u + 61)
Factor -4*h**4 + 24*h**3 - 16*h**2 - 24*h + 20.
-4*(h - 5)*(h - 1)**2*(h + 1)
Let 18*i**2 - 3*i - 21 = 0. What is i?
-1, 7/6
Factor 2*k**2/15 - 272*k/15 - 274/15.
2*(k - 137)*(k + 1)/15
Factor -b**2/2 - 36*b + 73/2.
-(b - 1)*(b + 73)/2
Factor 92*j**3 + 8732*j**2 + 7888*j - 752.
4*(j + 1)*(j + 94)*(23*j - 2)
Solve -3*b**5 - 50*b**4 + 86*b**3 + 256*b**2 + 69*b - 54 = 0 for b.
-18, -1, 1/3, 3
Factor -2*t**5/15 + 128*t**3/15.
-2*t**3*(t - 8)*(t + 8)/15
Suppose -2*p**2/7 - 1034*p/7 - 2060/7 = 0. What is p?
-515, -2
Factor f**3/2 + 130*f**2 + 773*f/2 + 257.
(f + 1)*(f + 2)*(f + 257)/2
Factor -3*l**3/4 + 23*l**2/2 + 515*l/4 + 161/2.
-(l - 23)*(l + 7)*(3*l + 2)/4
Find o such that -4*o**5/9 - 4348*o**4/9 - 1183736*o**3/9 - 1175048*o**2/9 + 394580*o/3 + 131044 = 0.
-543, -1, 1
What is z in -35*z**4 + 185*z**3 + 1385*z**2 - 1985*z + 450 = 0?
-5, 2/7, 1, 9
Find m such that 3*m**5 + 6*m**4 - 18*m**3 - 60*m**2 - 57*m - 18 = 0.
-2, -1, 3
Let -u**4/5 + 3*u**3 + 3*u**2/5 - 43*u/5 - 6 = 0. What is u?
-1, 2, 15
Factor 5*t**5 + 10*t**4 - 10*t**2 - 5*t.
5*t*(t - 1)*(t + 1)**3
Suppose -4*r**5 - 4*r**4 + 4*r**3 + 4*r**2 = 0. What is r?
-1, 0, 1
Factor -3*s**3 + 159*s**2 + 912*s - 2436.
-3*(s - 58)*(s - 2)*(s + 7)
Factor 3*n**2 + 486*n.
3*n*(n + 162)
Solve -2*s**2/11 + 16*s/11 + 38 = 0 for s.
-11, 19
Determine m so that 3*m**2 + 417*m = 0.
-139, 0
Suppose -d**2/7 - 193*d/7 + 788/7 = 0. What is d?
-197, 4
Factor -w**4/5 + 149*w**3 - 138383*w**2/5 - 139129*w/5.
-w*(w - 373)**2*(w + 1)/5
Factor -4*q**4 - 44*q**3 + 56*q**2 + 96*q.
-4*q*(q - 2)*(q + 1)*(q + 12)
Find w, given that 2*w**3/5 - 16*w**2/5 - 22*w/5 + 36/5 = 0.
-2, 1, 9
Find v such that -2*v**4/17 + 80*v**3/17 - 670*v**2/17 - 80*v/17 + 672/17 = 0.
-1, 1, 12, 28
Factor -t**3/9 + 7*t**2/9 - 14*t/9 + 8/9.
-(t - 4)*(t - 2)*(t - 1)/9
Factor -5*o**2 - 205*o + 5310.
-5*(o - 18)*(o + 59)
Factor -4*d**3 - 8*d**2 + 76*d + 80.
-4*(d - 4)*(d + 1)*(d + 5)
Solve r**4/3 + 91*r**3/3 - 185*r**2/3 + 31*r = 0 for r.
-93, 0, 1
Let -2*s**5/11 - 10*s**4/11 - 18*s**3/11 - 14*s**2/11 - 4*s/11 = 0. What is s?
-2, -1, 0
Determine v so that -2*v**2 + 2*v + 112 = 0.
-7, 8
Factor c**5 - 34*c**3 - 96*c**2 - 63*c.
c*(c - 7)*(c + 1)*(c + 3)**2
Factor s**2 + 1658*s + 1657.
(s + 1)*(s + 1657)
Find k such that 3*k**2 + 201*k = 0.
-67, 0
Factor 4*z**3 - 7824*z**2 + 5101248*z - 1108671232.
4*(z - 652)**3
Find f, given that 3*f**2 - 114*f + 408 = 0.
4, 34
Suppose -10*h**2/7 - 4*h/7 + 2 = 0. Calculate h.
-7/5, 1
Factor -3*m**4/2 - 2007*m**3/2 - 334665*m**2/2 + 336675*m/2.
-3*m*(m - 1)*(m + 335)**2/2
Factor x**2/2 - 57*x - 595/2.
(x - 119)*(x + 5)/2
Solve -3*w**2 + 412*w - 137 = 0 for w.
1/3, 137
Factor 2*u**2/7 - 152*u/7 + 234.
2*(u - 63)*(u - 13)/7
Factor 28*l**2 + 32152*l + 9184.
4*(l + 1148)*(7*l + 2)
Factor m**3 + 168*m**2 + 9408*m + 175616.
(m + 56)**3
Factor -2*s**4/11 - 296*s**3/11 - 1152*s**2/11.
-2*s**2*(s + 4)*(s + 144)/11
Solve 9*r**2 - 78*r + 48 = 0.
2/3, 8
Find c, given that -28*c**5 + 76*c**4 + 304*c**3 + 80*c**2 = 0.
-2, -2/7, 0, 5
Solve r**2/6 - 261*r/2 = 0 for r.
0, 783
Determine g, given that -9*g**3 - 70*g**2 - 147*g - 86 = 0.
-43/9, -2, -1
Let -20*r**2 + 6692*r - 4008 = 0. What is r?
3/5, 334
Factor -m**3 + 94*m**2 + 191*m + 96.
-(m - 96)*(m + 1)**2
Let -4*x**5 + 24*x**4 + 60*x**3 + 32*x**2 = 0. Calculate x.
-1, 0, 8
Factor 12*z**5 - 225*z**4/2 + 729*z**3/2 - 891*z**2/2 + 243*z/2.
3*z*(z - 3)**3*(8*z - 3)/2
What is g in -39*g**5 + 189*g**4 - 216*g**3 - 156*g**2 + 288*g = 0?
-1, 0, 24/13, 2
Determine t, given that 3*t**3 - 30*t**2 = 0.
0, 10
Find a such that a**4/2 + 7*a**3 - 31*a**2/2 + 8*a = 0.
-16, 0, 1
Factor -5*h**4 - 5*h**3 + 85*h**2 - 75*h.
-5*h*(h - 3)*(h - 1)*(h + 5)
Find v, given that 5*v**3 + 15*v**2/2 + 5*v/2 = 0.
-1, -1/2, 0
Factor 35*g**3/2 - 207*g**2/2 - 472*g - 126.
(g - 9)*(5*g + 14)*(7*g + 2)/2
Factor 4*v**4/3 - 32*v**2/3 + 64/3.
4*(v - 2)**2*(v + 2)**2/3
Factor -j**4/3 - 10*j**3/3 + 124*j**2/3 + 10*j/3 - 425.
-(j - 5)**2*(j + 3)*(j + 17)/3
What is d in -d**4/9 + 2*d**3/3 - 4*d**2/3 + 10*d/9 - 1/3 = 0?
1, 3
Factor -3*r**2/7 - 162*r/7 - 2175/7.
-3*(r + 25)*(r + 29)/7
Suppose 5*x**3 - 315*x**2 - 320*x = 0. What is x?
-1, 0, 64
Find n such that 15*n**5/2 + 57*n**4 + 21*n**3 - 318*n**2 + 