
-(a - 5)*(a - 2)*(a - 1)/4
Find s such that -20*s**4 - 35*s**3 + 5*s**2 + 35*s + 15 = 0.
-1, -3/4, 1
Factor 2*f**4 + 6*f**3 + 2*f**2 - 6*f - 4.
2*(f - 1)*(f + 1)**2*(f + 2)
Factor 5*d**5 + 15*d**4 - 45*d**3 + 25*d**2.
5*d**2*(d - 1)**2*(d + 5)
Determine d so that -10*d**5/17 + 74*d**4/17 - 138*d**3/17 + 94*d**2/17 - 20*d/17 = 0.
0, 2/5, 1, 5
Determine j, given that 5*j**2/3 - 40*j = 0.
0, 24
Factor 2*b**2/11 + 184*b/11 + 182/11.
2*(b + 1)*(b + 91)/11
Determine s, given that -4*s**2/3 - 2264*s/3 - 1504 = 0.
-564, -2
Find z, given that 4*z**5 + 112*z**4 + 808*z**3 + 592*z**2 - 812*z - 704 = 0.
-16, -11, -1, 1
Factor -z**2/12 - 17*z/12 + 5.
-(z - 3)*(z + 20)/12
Determine t so that 2*t**5/7 - 30*t**4/7 - 334*t**3/7 - 762*t**2/7 - 460*t/7 = 0.
-5, -2, -1, 0, 23
Suppose 2*k**3/3 + 100*k**2/3 - 2*k/3 - 100/3 = 0. What is k?
-50, -1, 1
Factor 601526*k**3/13 - 53868*k**2/13 + 1608*k/13 - 16/13.
2*(67*k - 2)**3/13
Let 5*z**5 - 50*z**4 + 15*z**3 + 270*z**2 = 0. What is z?
-2, 0, 3, 9
Determine y, given that -y**2/6 - 673*y/3 - 1343/2 = 0.
-1343, -3
What is k in 2*k**5/9 + 106*k**4/9 + 1448*k**3/9 + 928*k**2/9 - 5824*k/9 - 5408/9 = 0?
-26, -2, -1, 2
Factor -g**2/6 - 203*g/3 + 136.
-(g - 2)*(g + 408)/6
Find w, given that 6*w**5 - 21*w**4 - 99*w**3 + 30*w**2 + 156*w - 72 = 0.
-2, 1/2, 1, 6
Suppose -18*g**3 + 22*g**2 + 10*g - 14 = 0. What is g?
-7/9, 1
Find k, given that 2*k**2 + 2208*k + 609408 = 0.
-552
Suppose 28*a**4 + 232*a**3 + 540*a**2 + 416*a + 80 = 0. Calculate a.
-5, -2, -1, -2/7
Factor 3*p**3/5 + 84*p**2 - 2601*p/5 + 3942/5.
3*(p - 3)**2*(p + 146)/5
Factor -5*n**2 - 580*n - 16820.
-5*(n + 58)**2
Factor -s**3/7 + 3*s**2/7 + 16*s/7 + 12/7.
-(s - 6)*(s + 1)*(s + 2)/7
Factor -s**3/2 - 307*s**2 - 93009*s/2 + 190962.
-(s - 4)*(s + 309)**2/2
Factor 125*q**2 - 100*q + 20.
5*(5*q - 2)**2
Factor -4*s**3 + 28*s + 24.
-4*(s - 3)*(s + 1)*(s + 2)
Factor m**2/3 - 44*m/3 + 28.
(m - 42)*(m - 2)/3
Let g**3/5 - 13*g**2/5 + 32*g/5 - 4 = 0. Calculate g.
1, 2, 10
Let 2*x**2 + 4*x = 0. What is x?
-2, 0
Find f such that -50*f**2/7 + f = 0.
0, 7/50
Suppose -65*j**4 + 20*j**3 = 0. Calculate j.
0, 4/13
Factor 2*n**2/13 + 46*n/13.
2*n*(n + 23)/13
Factor -5*q**3 - 65*q**2 - 240*q - 180.
-5*(q + 1)*(q + 6)**2
Determine r so that -18*r**4 - 57*r**3 + 186*r**2 + 75*r - 150 = 0.
-5, -1, 5/6, 2
Factor p**4/4 - p**3/2 + p**2/4.
p**2*(p - 1)**2/4
Solve -26*h**3/5 + 16*h**2 + 96*h/5 = 0 for h.
-12/13, 0, 4
Factor -2*a**3/9 - 16*a**2/9 - 26*a/9 - 4/3.
-2*(a + 1)**2*(a + 6)/9
Factor g**4 + 14*g**3 - 219*g**2 + 504*g.
g*(g - 7)*(g - 3)*(g + 24)
Factor -t**2 - 6*t + 27.
-(t - 3)*(t + 9)
Find v, given that -10*v**4 + 14*v**3 + 16*v**2 - 8*v = 0.
-1, 0, 2/5, 2
Suppose -250*c**5 - 1175*c**4 - 1840*c**3 - 835*c**2 + 400*c + 320 = 0. What is c?
-8/5, -1, 1/2
Factor -2*y**4 + 448*y**3 + 1362*y**2.
-2*y**2*(y - 227)*(y + 3)
Determine k so that -3*k**2 + 648*k = 0.
0, 216
Factor f**3/3 - 23*f**2/3 - 26*f/3 + 16.
(f - 24)*(f - 1)*(f + 2)/3
Find y, given that -2*y**2 - 516*y - 33282 = 0.
-129
Suppose k**4/6 + 53*k**3/3 + 52*k**2 + 155*k/3 + 103/6 = 0. What is k?
-103, -1
Find c, given that 32*c**4 - 16*c**3 + 2*c**2 = 0.
0, 1/4
Factor -2*z**2/15 + 2*z + 68/15.
-2*(z - 17)*(z + 2)/15
Find o, given that o**3/3 - 67*o**2 + 3400*o - 10000/3 = 0.
1, 100
Factor -2*c**4/9 - 10*c**3/3 - 100*c**2/9.
-2*c**2*(c + 5)*(c + 10)/9
Find t, given that 2*t**4/3 + 92*t**3/3 + 382*t**2 + 2024*t/3 + 968/3 = 0.
-22, -1
What is n in 2*n**5/3 - 92*n**4/3 + 88*n**3 - 260*n**2/3 + 86*n/3 = 0?
0, 1, 43
Suppose -3*g**5/8 + 5*g**4/8 + 19*g**3/4 - 27*g**2/2 + 7*g + 4 = 0. What is g?
-4, -1/3, 2
Factor -3*h**3/2 + 7*h**2/4 - h/4.
-h*(h - 1)*(6*h - 1)/4
Factor -2*y**2/7 - 234*y/7.
-2*y*(y + 117)/7
Factor p**2/9 - 13*p/9.
p*(p - 13)/9
Factor 2*h**2/7 - 328*h/7 + 13448/7.
2*(h - 82)**2/7
Factor -5*q**3/4 - 25*q**2/4 + 15*q/2.
-5*q*(q - 1)*(q + 6)/4
What is j in -3*j**3 - 23235*j**2 - 44977149*j + 45000387 = 0?
-3873, 1
Find f such that f**3/4 + 47*f**2/4 + 87*f/4 - 135/4 = 0.
-45, -3, 1
Factor -2*i**5/11 + 2*i**4/11 + 4*i**3/11 - 4*i**2/11 - 2*i/11 + 2/11.
-2*(i - 1)**3*(i + 1)**2/11
Factor -d**2/9 + 5*d/3 + 364/9.
-(d - 28)*(d + 13)/9
Suppose -3*s**4 + 3237*s**3 - 9693*s**2 + 9687*s - 3228 = 0. Calculate s.
1, 1076
Determine a so that -3*a**4/4 - 33*a**3/4 - 57*a**2/4 - 27*a/4 = 0.
-9, -1, 0
What is i in -20*i**4 + 540*i**3 - 2745*i**2 - 12150*i - 10125 = 0?
-3/2, 15
Let -2*i**5/3 - 8*i**4/3 - 4*i**3/3 + 8*i**2/3 + 2*i = 0. What is i?
-3, -1, 0, 1
Factor 16*z**4/3 + 56*z**3 + 67*z**2 - 133*z/3 + 6.
(z + 2)*(z + 9)*(4*z - 1)**2/3
Solve -15*a**3/7 - 894*a**2/7 + 360*a/7 = 0.
-60, 0, 2/5
Let 18*p**5 + 10544*p**4 + 29192*p**3 + 24492*p**2 + 3494*p - 2332 = 0. Calculate p.
-583, -1, 2/9
Factor 4*g**5/3 + g**4/2.
g**4*(8*g + 3)/6
Factor -5*u**3 + 135*u**2 - 730*u + 600.
-5*(u - 20)*(u - 6)*(u - 1)
Factor -4*v**4/9 - 28*v**3/3 - 76*v**2/3 - 220*v/9 - 8.
-4*(v + 1)**3*(v + 18)/9
Factor 2*y**2 + 140*y + 2450.
2*(y + 35)**2
Factor -4*o**5 - 12*o**4 + 16*o**2.
-4*o**2*(o - 1)*(o + 2)**2
Factor -5*k**2 + 145*k + 150.
-5*(k - 30)*(k + 1)
What is q in -4*q**2 - 20*q - 16 = 0?
-4, -1
Factor 4*n**3 + 568*n**2 - 4172*n.
4*n*(n - 7)*(n + 149)
Find w such that 3*w**5/5 - 367*w**4/5 + 14882*w**3/5 - 196554*w**2/5 - 28577*w + 68921/5 = 0.
-1, 1/3, 41
Suppose 32000*k**4 + 64800*k**3 + 33605*k**2 + 810*k + 5 = 0. Calculate k.
-1, -1/80
Determine f, given that -4*f**4/3 - 152*f**3/3 - 692*f**2/3 - 1072*f/3 - 176 = 0.
-33, -2, -1
Suppose 2*k**4/11 + 384*k**3/11 + 27648*k**2/11 + 884736*k/11 + 10616832/11 = 0. What is k?
-48
Factor -2*w**2/5 + 316*w/5 - 624/5.
-2*(w - 156)*(w - 2)/5
Factor -4*b**2 + 40*b - 36.
-4*(b - 9)*(b - 1)
Find p such that -2*p**5/7 + 4*p**4/7 + 2*p**3 - 40*p**2/7 + 24*p/7 = 0.
-3, 0, 1, 2
Suppose -3*h**5 - 26*h**4/3 + 19*h**3 + 82*h**2 + 188*h/3 - 8 = 0. Calculate h.
-2, 1/9, 3
Determine r so that 2*r**3/5 - 28*r**2/5 - 136*r/5 - 144/5 = 0.
-2, 18
Suppose 5*v**3 - 30*v**2 + 15*v + 50 = 0. What is v?
-1, 2, 5
Factor -16*f**2/11 + 98*f/11.
-2*f*(8*f - 49)/11
Factor -3*p**3 + 57*p**2 - 132*p - 192.
-3*(p - 16)*(p - 4)*(p + 1)
Let -s**4/2 + 3*s**3/2 = 0. Calculate s.
0, 3
What is y in 4*y**5/3 - 4*y**4 - 28*y**3/3 + 36*y**2 - 24*y = 0?
-3, 0, 1, 2, 3
Determine s so that 10*s**3 + 24*s**2 + 8*s = 0.
-2, -2/5, 0
What is f in -6*f**2/5 + 1608*f/5 - 107736/5 = 0?
134
Factor -6*p**3 - 183*p**2 - 87*p + 90.
-3*(p + 1)*(p + 30)*(2*p - 1)
Factor -4*z**3 + 4*z**2 + 32*z - 48.
-4*(z - 2)**2*(z + 3)
Find w such that -w**2/8 + 331*w/4 - 329 = 0.
4, 658
Factor 4*p**3/3 - 36*p**2 - 4*p/3 + 36.
4*(p - 27)*(p - 1)*(p + 1)/3
Find k, given that 2*k**2/9 + 152*k/9 + 710/9 = 0.
-71, -5
Determine k so that 2*k**4/9 + 14*k**3/9 + 10*k**2/3 + 2*k = 0.
-3, -1, 0
Factor -2*y**3 - 6*y**2.
-2*y**2*(y + 3)
Factor -2*p**2/9 - 344*p/9 - 14792/9.
-2*(p + 86)**2/9
Factor -a**2 - 7*a - 12.
-(a + 3)*(a + 4)
Factor 96605*p**2 + 4170*p + 45.
5*(139*p + 3)**2
Suppose 507*f**5 + 1677*f**4 - 27*f**3 - 1641*f**2 - 480*f - 36 = 0. What is f?
-3, -1, -2/13, 1
Find m such that -m**3 - 44*m**2 - 484*m = 0.
-22, 0
Solve f**2 + 2956*f + 2184484 = 0.
-1478
What is l in -125*l**4/3 + 2825*l**3 - 2240*l**2 + 1340*l/3 = 0?
0, 2/5, 67
Factor 4*g**3/3 + 4*g**2 - 64*g/3 + 16.
4*(g - 2)*(g - 1)*(g + 6)/3
Find v such that -v**5/4 + 7*v**4 + 333*v**3/4 = 0.
-9, 0, 37
Factor -s**3/4 - 21*s**2/4 + 196*s - 369.
-(s - 18)*(s - 2)*(s + 41)/4
Suppose 2*w**5/5 - 126*w**4/5 + 384*w**3 + 2048*w**2/5 = 0. What is w?
-1, 0, 32
Factor -5*k**3 - 60*k**2.
-5*k**2*(k + 12)
Find h such that -h**4 + 29*h**3 - 24*h**2 - 116*h + 112 = 0.
-2, 1, 2, 28
Determine n, given that -8*n**4 + 92*n**3 + 152*n**2 + 52*n = 0.
-1, -1/2, 0, 13
Factor m**2 - 10*m + 24.
(m - 6)*(m - 4)
Let h**2 - 185*h = 0. Calculate h.
0, 185
Factor k**4/2 + 51*k**3/2 + 312*k**2 - 338*k.
k*(k - 1)*(k + 26)**2/2
Let 82*c**3/19 - 78*c**2/19 - 4*c/19 = 0. What is c?
-2/41, 0, 1
Determine p, given that -2*p**3 - 60*p**2 - 114*p - 56 = 0.
-28, -1
Factor -22*z**5/7 - 620*z**4/7 - 16*z**3.
-2*z**3*(z + 28)*(11*z + 2)/7
Find y, given that y**2/3 - 4*y/3 + 4/3 = 0.
2
Factor 2*g**3/15 - 8*g**2/5 - 2*g + 52/15.
2*(g - 13)*(g - 1)*(g + 2)/15
Factor -5*m**5 + 2640*m**4 - 345830*m**3 - 699600*m**2 - 351125*m.
-5*m*(m - 265)**2*(m + 1)**2
Factor -2