77, -3
Factor -4*x**3/5 - 28*x**2/5 - 48*x/5.
-4*x*(x + 3)*(x + 4)/5
Find c, given that -4*c**2/3 - 76*c/3 + 728/3 = 0.
-26, 7
Let o**5/5 - 2*o**4/5 - o**3/5 + 2*o**2/5 = 0. What is o?
-1, 0, 1, 2
Let -2*c**3/7 + 24*c**2/7 + 90*c/7 = 0. What is c?
-3, 0, 15
Let -7*m**4/2 - 160*m**3 - 262*m**2 + 88*m = 0. Calculate m.
-44, -2, 0, 2/7
Determine m so that -2*m**4/5 - 8*m**3/5 + 2*m**2 = 0.
-5, 0, 1
Solve 3*n**3/2 + 147*n**2/2 + 936*n + 864 = 0.
-24, -1
What is q in 5*q**3 + 75*q**2 + 360*q + 540 = 0?
-6, -3
Factor 2*j**5/3 - 2*j**4 + 4*j**3/3.
2*j**3*(j - 2)*(j - 1)/3
Factor -o**4/2 - o**3/2 + 2*o**2 + 2*o.
-o*(o - 2)*(o + 1)*(o + 2)/2
Factor 2*k**2/11 + 290*k/11 + 1128/11.
2*(k + 4)*(k + 141)/11
Find j, given that j**5/3 + j**4/3 - j**3 - j**2/3 + 2*j/3 = 0.
-2, -1, 0, 1
What is r in -4*r**4 + 36*r**3 - 60*r**2 + 28*r = 0?
0, 1, 7
Determine r, given that -8*r**4/7 + 24*r**3/7 + 6*r**2/7 - 20*r/7 + 6/7 = 0.
-1, 1/2, 3
Determine n, given that 5*n**2 - 130*n + 125 = 0.
1, 25
Factor -2*r**4 - 1128*r**3 + 3402*r**2.
-2*r**2*(r - 3)*(r + 567)
Find w, given that 62500*w**5 + 89625*w**4 + 39800*w**3 + 4965*w**2 - 90*w = 0.
-3/5, -1/4, 0, 2/125
Factor r**5/3 + r**4/3 - 3*r**3 - 3*r**2.
r**2*(r - 3)*(r + 1)*(r + 3)/3
Factor -n**4/4 + 11*n**3/4 - 15*n**2/4 - 67*n/4 - 10.
-(n - 8)*(n - 5)*(n + 1)**2/4
What is t in 2*t**4/5 - 6*t**3 + 132*t**2/5 - 32*t = 0?
0, 2, 5, 8
Determine w, given that -w**5 - 188*w**4 + 2*w**3 + 376*w**2 - w - 188 = 0.
-188, -1, 1
Solve -3*z**2 - 39*z + 1824 = 0.
-32, 19
Factor 2*v**5 + 13*v**4/2 + 15*v**3/2 + 7*v**2/2 + v/2.
v*(v + 1)**3*(4*v + 1)/2
Let m**5/4 + m**4/2 - 3*m**3 - 10*m**2 - 8*m = 0. Calculate m.
-2, 0, 4
Factor s**5/5 - 37*s**4/5 + 526*s**3/5 - 718*s**2 + 2365*s - 3025.
(s - 11)**2*(s - 5)**3/5
Let 20*h**4 - 285*h**3 + 650*h**2 + 735*h - 220 = 0. What is h?
-1, 1/4, 4, 11
Factor -16*h**2/5 + 4*h/5.
-4*h*(4*h - 1)/5
Factor -i**4 - 10*i**3 + 13*i**2 + 22*i.
-i*(i - 2)*(i + 1)*(i + 11)
Factor -3*b**2 + 51*b - 126.
-3*(b - 14)*(b - 3)
Find h, given that 5*h**2 + 1520*h/3 - 340 = 0.
-102, 2/3
Solve -3*q**3 + 6*q**2 + 12*q - 24 = 0.
-2, 2
What is y in -2*y**5/3 - 22*y**4/3 + 4*y**3/3 + 44*y**2/3 - 2*y/3 - 22/3 = 0?
-11, -1, 1
Factor -3*f**4 + 9*f**3/2 - 3*f**2/2.
-3*f**2*(f - 1)*(2*f - 1)/2
Factor -2*x**2/9 + 440*x/9 - 24200/9.
-2*(x - 110)**2/9
Factor 4*g**4/3 - 48*g**3 + 380*g**2 + 2888*g/3.
4*g*(g - 19)**2*(g + 2)/3
Let 2*f**4 + 3492*f**3 + 1531226*f**2 + 6083064*f + 6069128 = 0. Calculate f.
-871, -2
Find y such that -y**4 - 54*y**3 = 0.
-54, 0
Determine b, given that -b**2/6 - 795*b/2 - 1192/3 = 0.
-2384, -1
Factor 5*b**5/6 + 5*b**4/3 - 50*b**3/3 - 155*b**2/3 - 305*b/6 - 50/3.
5*(b - 5)*(b + 1)**3*(b + 4)/6
What is b in -2*b**3/3 - 2*b**2 - 4*b/3 = 0?
-2, -1, 0
Factor 3*p**3/8 - 231*p**2/2 + 17787*p/2.
3*p*(p - 154)**2/8
Find l, given that -4*l**5 + 20*l**4 + 4*l**3 - 68*l**2 - 48*l = 0.
-1, 0, 3, 4
What is z in -2*z**3 - 94*z**2 + 402*z - 306 = 0?
-51, 1, 3
Determine q, given that -5*q**4 - 15*q**3 + 20*q = 0.
-2, 0, 1
Solve -2*m**3/7 - 36*m**2/7 - 192*m/7 - 320/7 = 0 for m.
-10, -4
Factor 2*m**3 + 780*m**2 + 101400*m + 4394000.
2*(m + 130)**3
Factor -f**2/4 + 1147*f/4.
-f*(f - 1147)/4
Factor 2*c**5 + 16*c**4 + 44*c**3 + 48*c**2 + 18*c.
2*c*(c + 1)**2*(c + 3)**2
Factor 2*f**3/5 - 98*f**2 - 988*f/5.
2*f*(f - 247)*(f + 2)/5
Factor -u**5 - 147*u**4 + 1216*u**3 - 3688*u**2 + 4944*u - 2480.
-(u - 2)**4*(u + 155)
Suppose w**3 + 226*w**2 + 671*w + 446 = 0. What is w?
-223, -2, -1
Find i such that 2*i**4/3 - 92*i**3/3 - 240*i**2 - 1156*i/3 - 530/3 = 0.
-5, -1, 53
Determine c, given that 2*c**3 - 1242*c**2 + 192198*c + 193442 = 0.
-1, 311
Factor -5*a**4 - 50*a**3 + 95*a**2 + 1820*a + 2940.
-5*(a - 6)*(a + 2)*(a + 7)**2
Let f**4 - 9*f**3 + 17*f**2 + 9*f - 18 = 0. What is f?
-1, 1, 3, 6
Find u such that 27*u**5 + 180*u**4 + 408*u**3 + 378*u**2 + 141*u + 18 = 0.
-3, -2, -1, -1/3
Let 5*y**4 + 20*y**3 + 20*y**2 = 0. Calculate y.
-2, 0
Solve -18*s**5/5 + 249*s**4/5 - 414*s**3/5 + 219*s**2/5 - 36*s/5 = 0 for s.
0, 1/3, 1/2, 1, 12
Suppose -4*t**2 + 5800*t = 0. What is t?
0, 1450
Factor -2*s**2/13 + 124*s - 24986.
-2*(s - 403)**2/13
Find u such that -4*u**2 - 28*u + 176 = 0.
-11, 4
Factor -162*b**3 + 3060*b**2 - 2624*b + 576.
-2*(b - 18)*(9*b - 4)**2
Factor -4*b**4 - 860*b**3 - 46652*b**2 - 45796*b.
-4*b*(b + 1)*(b + 107)**2
What is w in -5*w**2 + 15*w = 0?
0, 3
Factor -4*p**3 + 168*p**2 - 324*p + 160.
-4*(p - 40)*(p - 1)**2
Factor 6*b**3 - 51*b**2 + 114*b - 45.
3*(b - 5)*(b - 3)*(2*b - 1)
Let 10*z**4/7 - 416*z**3/7 - 598*z**2/7 - 172*z/7 = 0. Calculate z.
-1, -2/5, 0, 43
Solve -r**5/4 + 5*r**4/4 - 7*r**3/4 + 3*r**2/4 = 0 for r.
0, 1, 3
Factor c**2/3 + 110*c/3 - 224/3.
(c - 2)*(c + 112)/3
Determine w, given that -3*w**2/2 + 144*w - 3456 = 0.
48
Solve -3*d**2 + 108*d - 897 = 0.
13, 23
Determine q so that 5*q**5 + 25*q**4 - 865*q**3 + 4875*q**2 - 10620*q + 8100 = 0.
-18, 2, 3, 5
Determine g so that -2*g**5/7 - 808*g**4/7 + 5718*g**3/7 - 2108*g**2 + 16424*g/7 - 6576/7 = 0.
-411, 1, 2
Factor 2*c**2/9 + 1612*c/9 + 324818/9.
2*(c + 403)**2/9
Factor -d**4/5 + 3*d**3/5 - 3*d**2/5 + d/5.
-d*(d - 1)**3/5
Let 3*b**2 + 3*b - 270 = 0. What is b?
-10, 9
Solve 21*i**5 + 27*i**4 - 360*i**3 + 444*i**2 = 0.
-37/7, 0, 2
Determine j, given that -3*j**3/2 + 66*j**2 + 423*j/2 = 0.
-3, 0, 47
Factor -2*v**4/21 + 8*v**3/7 + 26*v**2/21.
-2*v**2*(v - 13)*(v + 1)/21
Suppose p**2 + 784*p + 1564 = 0. Calculate p.
-782, -2
Find g, given that 3*g**3/5 + 76*g**2/5 + 223*g/5 + 66/5 = 0.
-22, -3, -1/3
Factor -5*p**4 - 60*p**3 - 195*p**2 - 140*p.
-5*p*(p + 1)*(p + 4)*(p + 7)
Determine i so that -2*i**3/3 - 76*i**2/9 + 10*i/3 + 52/9 = 0.
-13, -2/3, 1
Determine c, given that c**2 - 316*c - 636 = 0.
-2, 318
Find b such that -3*b**3 - 21*b**2 + 30*b + 48 = 0.
-8, -1, 2
Suppose -m**5/2 + 5*m**4/2 - 3*m**3 - m**2 + 7*m/2 - 3/2 = 0. What is m?
-1, 1, 3
Factor c**5/3 - 855*c**4 + 731025*c**3 - 208342125*c**2.
c**2*(c - 855)**3/3
Factor 18*i**5/5 - 84*i**4/5 - 136*i**3/5 - 48*i**2/5.
2*i**2*(i - 6)*(3*i + 2)**2/5
Find s such that -2*s**4/9 + 26*s**3/9 - 40*s**2/3 + 224*s/9 - 128/9 = 0.
1, 4
Solve -4*p**3/13 - 2*p**2/13 + 50*p/13 - 24/13 = 0.
-4, 1/2, 3
Factor -r**2 + 95*r + 396.
-(r - 99)*(r + 4)
Determine v, given that -39*v**4/2 - 45*v**3/2 - 3*v**2 = 0.
-1, -2/13, 0
Factor 2*j**2/21 - 2/21.
2*(j - 1)*(j + 1)/21
Factor n**3/3 - 14*n**2/3 + 25*n/3 - 4.
(n - 12)*(n - 1)**2/3
Let -125*w**3 - 175*w**2/2 - 10*w + 2 = 0. Calculate w.
-2/5, 1/10
Let 2*c**5/15 - 34*c**4/15 + 4*c**3/5 + 328*c**2/15 - 16*c/3 - 256/5 = 0. What is c?
-2, 2, 3, 16
Factor -2*r**2 - 24*r - 40.
-2*(r + 2)*(r + 10)
Solve 2*m**2 - 696*m + 60552 = 0 for m.
174
Factor 5*z**3 - 18*z**2 - 5*z + 42.
(z - 3)*(z - 2)*(5*z + 7)
Let -6*d**4 + 80*d**3 + 246*d**2 + 160*d = 0. Calculate d.
-5/3, -1, 0, 16
Find l, given that 5*l**5 - 50*l**4 + 65*l**3 + 300*l**2 + 180*l = 0.
-1, 0, 6
Suppose 2*h**4/7 - 11*h**3/7 + 3*h**2 - 16*h/7 + 4/7 = 0. What is h?
1/2, 1, 2
Factor n**2/6 + 3*n.
n*(n + 18)/6
Determine k, given that -3*k**5/5 + 32*k**4/5 - 119*k**3/5 + 186*k**2/5 - 128*k/5 + 32/5 = 0.
2/3, 1, 4
Find m such that -m**2/5 - 11858*m/5 - 35153041/5 = 0.
-5929
Determine y so that y**3/2 + 11*y**2 - 23*y/2 = 0.
-23, 0, 1
Suppose 48*h**4 - 7348*h**3 - 14208*h**2 - 8052*h - 1240 = 0. Calculate h.
-1, -2/3, -1/4, 155
Determine j, given that -4*j**5 - 20*j**4 + 804*j**3 + 1652*j**2 + 832*j = 0.
-16, -1, 0, 13
Let i**3 - 21*i**2 + 20*i = 0. What is i?
0, 1, 20
Suppose 3*n**5 - 38*n**4 - 21*n**3 + 108*n**2 - 52*n = 0. Calculate n.
-2, 0, 2/3, 1, 13
What is o in 2*o**3/3 - 2*o**2 - 32*o/3 - 8 = 0?
-2, -1, 6
Suppose 2*k**4/9 - 4*k**2/9 + 2/9 = 0. Calculate k.
-1, 1
Factor -30*c**3/7 - 114*c**2/7 - 66*c/7 + 18/7.
-6*(c + 1)*(c + 3)*(5*c - 1)/7
Solve -u**5 + 4*u**4 - 10*u**2 + u + 6 = 0 for u.
-1, 1, 2, 3
Find c, given that -18*c**4/11 - 122*c**3/11 + 208*c**2/11 + 248*c/11 - 64/11 = 0.
-8, -1, 2/9, 2
Factor -b**3 + 191*b**2 + 386*b.
-b*(b - 193)*(b + 2)
Solve -6*q**4 + 952*q**3 - 1566*q**2 - 628*q = 0.
-1/3, 0, 2, 157
Solve 36*d**2 + 76*d + 8 = 0 for d.
-2, -1/9
Factor -4*i**2/3 - 92*i/3.
-4*i*(i + 23)/3
Factor 12*w**5 - 75*w**4 + 162*w**3 - 132*w**2 + 24*w.
3*w*(w - 2)**3*(4*w - 1)
Factor 3*i**4/5 + 6*i**3 + 69*i**2/5 + 42*i/5.
3*i*