50*d**4/3 - 220220*d**3/3 - 13528*d**2/3 - 208*d/3 = 0. Calculate d.
-26, -2/65, 0
Suppose -54*g**4 + 27108*g**3 - 54072*g**2 + 36016*g - 8000 = 0. What is g?
2/3, 500
Factor -3*r**3 + 9*r**2 + 48*r + 36.
-3*(r - 6)*(r + 1)*(r + 2)
Let -9*l**5/2 + 141*l**4/2 - 167*l**3 + 147*l**2 - 105*l/2 + 13/2 = 0. What is l?
1/3, 1, 13
Determine a, given that 3*a**3 - 10*a**2 + 4*a + 8 = 0.
-2/3, 2
Solve h**4/4 - 44*h**3 - 3*h**2/4 + 263*h/2 + 88 = 0 for h.
-1, 2, 176
Factor 2*m**2/25 + 178*m/25 + 176/25.
2*(m + 1)*(m + 88)/25
Factor -5*p**2 + 935*p.
-5*p*(p - 187)
Solve -5*p**2 + 75*p = 0 for p.
0, 15
Factor o**2/4 - 38*o.
o*(o - 152)/4
Factor 5*j**4/3 + 140*j**3.
5*j**3*(j + 84)/3
Factor -o**2/11 - 181*o/11.
-o*(o + 181)/11
Suppose 9*a**4 - 75*a**3 - 57*a**2 + 27*a = 0. What is a?
-1, 0, 1/3, 9
Factor 2*g**3 - 96*g**2 - 198*g - 100.
2*(g - 50)*(g + 1)**2
Factor -o**5 + o**4 + 6*o**3 - 4*o**2 - 8*o.
-o*(o - 2)**2*(o + 1)*(o + 2)
Suppose 6*z**5/5 - 198*z**4/5 + 1866*z**3/5 - 666*z**2 - 1080*z = 0. What is z?
-1, 0, 4, 15
Determine z so that -8283*z**4/4 + 18039*z**3/4 - 11223*z**2/4 + 1461*z/4 + 3/2 = 0.
-1/251, 2/11, 1
Suppose 9*n**3 + 309*n**2/2 - 2433*n/2 - 207 = 0. What is n?
-23, -1/6, 6
Factor 4*u**2/5 - 68*u/5 + 208/5.
4*(u - 13)*(u - 4)/5
Find a such that -2*a**4/7 - 4*a**3 - 24*a**2/7 + 4*a + 26/7 = 0.
-13, -1, 1
Solve -2*y**3/5 + 8*y**2 + 134*y/5 + 92/5 = 0 for y.
-2, -1, 23
Factor 5*j**2 + 115*j - 870.
5*(j - 6)*(j + 29)
What is v in 2*v**4/9 - 8*v**3/9 + 4*v**2/3 - 8*v/9 + 2/9 = 0?
1
Suppose k**4 - 124*k**3 - 768*k**2 - 1552*k - 1040 = 0. Calculate k.
-2, 130
Factor 12*i**2/5 - 452*i/5 + 296/5.
4*(i - 37)*(3*i - 2)/5
Let -j**2/3 - 28*j/3 - 196/3 = 0. Calculate j.
-14
Solve c**3 - 3074*c**2 + 2362369*c = 0 for c.
0, 1537
Solve 14*t**3 + 662*t**2 + 832*t + 184 = 0.
-46, -1, -2/7
Factor -2*t**2 - 262*t.
-2*t*(t + 131)
Determine p so that 3*p**5/8 - 69*p**4/8 - 3*p**3/4 + 69*p**2/4 + 3*p/8 - 69/8 = 0.
-1, 1, 23
Factor -2*y**2 - 34*y.
-2*y*(y + 17)
Factor -2*t**4 + 6*t**3 - 2*t**2 - 6*t + 4.
-2*(t - 2)*(t - 1)**2*(t + 1)
Find v, given that v**2/4 + 124*v + 247 = 0.
-494, -2
Solve -3*i**2 - 21*i - 30 = 0.
-5, -2
Find t, given that 2*t**3 - 22*t**2 + 70*t - 50 = 0.
1, 5
Solve -3*g**4 - 618*g**3 + 5724*g**2 - 17334*g + 17415 = 0.
-215, 3
Factor 3*o**3 - 198*o**2 + 2835*o + 14700.
3*(o - 35)**2*(o + 4)
Solve -h**5/3 - 56*h**4/3 + 119*h**3/3 + 170*h**2/3 - 236*h/3 - 232/3 = 0.
-58, -1, 2
Solve -3*u**3 - 651*u**2 - 34989*u + 35643 = 0 for u.
-109, 1
Suppose v**5/2 + v**4/2 - 3*v**3/2 - v**2/2 + v = 0. Calculate v.
-2, -1, 0, 1
Solve 3*o**3 - 18*o**2 = 0.
0, 6
Determine s so that 3*s**4 + 33*s**3 + 57*s**2 + 27*s = 0.
-9, -1, 0
Factor 2*h**2/5 - 124*h/5.
2*h*(h - 62)/5
Determine v so that 4*v**4 + 224*v**3 + 2656*v**2 - 13440*v + 14400 = 0.
-30, 2
Let -2*d**5/5 - 2*d**4 - 2*d**3 + 2*d**2 + 12*d/5 = 0. What is d?
-3, -2, -1, 0, 1
Solve -5*a**4 - 15*a**3 - 5*a**2 + 15*a + 10 = 0 for a.
-2, -1, 1
Find d such that -2*d**2/3 + 1780*d/3 + 3568/3 = 0.
-2, 892
Determine k, given that 2*k**4 + 20*k**3 + 50*k**2 = 0.
-5, 0
Factor 2*k**3/3 - 1254*k**2 + 786258*k - 164327922.
2*(k - 627)**3/3
Determine i, given that -2*i**2/15 + 2*i/3 = 0.
0, 5
Factor 5*d**3 - 2805*d**2 + 524535*d - 32696015.
5*(d - 187)**3
Find c such that -2*c**5/5 - 2*c**4 + 4*c**3/5 + 84*c**2/5 + 126*c/5 + 54/5 = 0.
-3, -1, 3
Factor -4*t**3/9 - 28*t**2/3 - 48*t.
-4*t*(t + 9)*(t + 12)/9
Factor n**5 - 49*n**3 - 120*n**2.
n**2*(n - 8)*(n + 3)*(n + 5)
Find m such that 20*m**4 + 75*m**3 + 80*m**2 + 15*m - 10 = 0.
-2, -1, 1/4
Find x, given that -x**4/2 + 284*x**3/3 - 181*x**2/6 - 754*x/3 - 126 = 0.
-1, -2/3, 2, 189
Factor -2*b**3/9 - 16*b**2/9 + 62*b/9 - 44/9.
-2*(b - 2)*(b - 1)*(b + 11)/9
Factor -2*m**3/5 + 20*m**2 - 250*m.
-2*m*(m - 25)**2/5
Factor -2*d**2/3 - 1390*d/3 - 924.
-2*(d + 2)*(d + 693)/3
Find r such that 3*r**2 + 33*r - 36 = 0.
-12, 1
Find l such that -4*l**4/7 + 90*l**3/7 - 464*l**2/7 + 786*l/7 - 288/7 = 0.
1/2, 3, 16
Factor 50*q**2/9 + 58*q/9 + 8/9.
2*(q + 1)*(25*q + 4)/9
Let -c**4/2 + 13*c**3 - 193*c**2/2 + 156*c - 72 = 0. Calculate c.
1, 12
Suppose t**2/7 - 16*t/7 - 17/7 = 0. What is t?
-1, 17
What is x in 5*x**4/6 - 23*x**3 + 209*x**2/6 - 4*x - 26/3 = 0?
-2/5, 1, 26
Let -6*w**4 + 56*w**3 - 114*w**2 = 0. Calculate w.
0, 3, 19/3
Factor -3*f**4 - 27*f**3 - 81*f**2 - 93*f - 36.
-3*(f + 1)**2*(f + 3)*(f + 4)
Factor -n**2 - 690*n.
-n*(n + 690)
Determine y, given that y**2/2 + 25*y/2 + 33 = 0.
-22, -3
Factor -16*k**4 - 52*k**3 - 12*k**2.
-4*k**2*(k + 3)*(4*k + 1)
Let 2*w**2 - 6252*w = 0. What is w?
0, 3126
Determine s so that -2*s**4/15 - 34*s**3/15 - 38*s**2/5 - 134*s/15 - 52/15 = 0.
-13, -2, -1
What is p in -p**3/7 - 44*p**2 - 23088*p/7 + 97344/7 = 0?
-156, 4
Factor 3*c**2 - 231*c + 4410.
3*(c - 42)*(c - 35)
Factor 2*l**5 - 420*l**4 - 422*l**3.
2*l**3*(l - 211)*(l + 1)
Factor 2*n**2 + 2376*n + 705672.
2*(n + 594)**2
Factor 3*h**5 - 15*h**4 - 42*h**3.
3*h**3*(h - 7)*(h + 2)
Determine y so that -y**5/5 + 41*y**4/5 - 511*y**3/5 + 375*y**2 - 2376*y/5 + 972/5 = 0.
1, 3, 18
Suppose -2*b**2/9 + 20*b/3 - 48 = 0. Calculate b.
12, 18
Factor c**5/2 + c**4 + c**3/2.
c**3*(c + 1)**2/2
Solve 10*d**3/11 + 24*d**2/11 - 168*d/11 - 32 = 0 for d.
-22/5, -2, 4
Suppose 27*z**3/4 + 159*z**2/2 + 225*z - 54 = 0. What is z?
-6, 2/9
Factor -n**2/4 - 6891*n/4 + 1723.
-(n - 1)*(n + 6892)/4
Factor -4*z**2/7 + 36*z/7 + 40/7.
-4*(z - 10)*(z + 1)/7
Factor 2*n**2/5 - 94*n/5 + 992/5.
2*(n - 31)*(n - 16)/5
Factor -20*m**3 - 1108*m**2 - 2560*m - 848.
-4*(m + 2)*(m + 53)*(5*m + 2)
Factor -b**5 - 4*b**4 - 4*b**3 + 2*b**2 + 5*b + 2.
-(b - 1)*(b + 1)**3*(b + 2)
Factor 75*w**4 - 885*w**3 + 672*w**2 - 132*w.
3*w*(w - 11)*(5*w - 2)**2
What is x in -5*x**4 - 140*x**3 + 785*x**2 - 1300*x + 660 = 0?
-33, 1, 2
What is y in -28*y**3/3 - 22*y**2 - 16*y - 10/3 = 0?
-1, -5/14
Find y, given that y**5/5 - y**4 - 2*y**3/5 + 2*y**2 + y/5 - 1 = 0.
-1, 1, 5
Factor -5*z**2 - 2235*z.
-5*z*(z + 447)
Solve 2*n**5 + 12*n**4/7 - 226*n**3/7 + 312*n**2/7 - 40*n/7 = 0.
-5, 0, 1/7, 2
Factor 10*d**2 + 115*d - 60.
5*(d + 12)*(2*d - 1)
Factor 2*x**2/15 - 8*x/3 + 40/3.
2*(x - 10)**2/15
Factor -5*d**3 - 39*d**2 - 27*d + 7.
-(d + 1)*(d + 7)*(5*d - 1)
Factor 2*l**4/7 - 26*l**3/7 + 66*l**2/7 - 62*l/7 + 20/7.
2*(l - 10)*(l - 1)**3/7
Suppose -2*r**2 - 292*r = 0. What is r?
-146, 0
Suppose 3*g**2 - 54*g - 264 = 0. What is g?
-4, 22
Factor -15*y**3 + 265*y**2 + 100*y - 180.
-5*(y - 18)*(y + 1)*(3*y - 2)
Determine u, given that 4*u**4 + 28*u**3 + 64*u**2 + 48*u = 0.
-3, -2, 0
What is m in 62500*m**5 + 7500*m**4 - 62200*m**3 - 7496*m**2 - 300*m - 4 = 0?
-1, -1/25, 1
Determine w, given that 5*w**5 - 700*w**4 + 28965*w**3 - 315990*w**2 + 1236060*w - 1428840 = 0.
2, 6, 63
Factor -3*q**2 + 387*q - 2214.
-3*(q - 123)*(q - 6)
Factor 2*t**5/3 + 364*t**4/3 + 5398*t**3 - 33488*t**2/3 + 16928*t/3.
2*t*(t - 1)**2*(t + 92)**2/3
Suppose -3*o**3/2 + 6*o**2 + 27*o/2 - 54 = 0. What is o?
-3, 3, 4
Let 3*i**3/2 + 693*i**2/2 + 1377*i/2 + 687/2 = 0. What is i?
-229, -1
Factor 2*a**2 - 4*a.
2*a*(a - 2)
Find t such that 8*t**4/3 + 478*t**3/9 - 122*t**2 + 16*t/3 + 88/9 = 0.
-22, -1/4, 1/3, 2
Suppose -b**4/3 + 23*b**3/3 - 63*b**2 + 637*b/3 - 686/3 = 0. What is b?
2, 7
Solve 2*j**2/3 + 16*j/3 - 6 = 0 for j.
-9, 1
Let -c**3 - 2*c**2 + 29*c - 42 = 0. Calculate c.
-7, 2, 3
Solve -6*s**2 - 134*s + 92 = 0.
-23, 2/3
Let -3*b**5 - 237*b**4 - 4056*b**3 + 24456*b**2 - 41328*b + 21168 = 0. What is b?
-42, 1, 2
Factor 2*a**3/5 - 58*a**2 + 574*a/5 - 286/5.
2*(a - 143)*(a - 1)**2/5
Factor m**3/2 - 15*m**2 + 57*m/2 - 14.
(m - 28)*(m - 1)**2/2
Suppose 5*x**3 + 10*x**2 - 265*x + 450 = 0. What is x?
-9, 2, 5
Factor -6*b**3 + 45*b**2 - 108*b + 81.
-3*(b - 3)**2*(2*b - 3)
What is m in 2*m**4/5 - 12*m**3/5 + 8*m**2/5 + 48*m/5 - 64/5 = 0?
-2, 2, 4
Factor 1311*f**2 - 1317*f + 6.
3*(f - 1)*(437*f - 2)
Factor -u**3 + 110*u**2 - 3132*u + 5832.
-(u - 54)**2*(u - 2)
Factor -k**3 + 92*k**2 - 180*k.
-k*(k - 90)*(k - 2)
Determine b, given that 266*b**2 + 536*b + 8 = 0.
-2, -2/133
Determine u, given that 2*u**2/3 + 220*u/3 + 6050/3 = 0.
-55
Determine t, given that 49*t**3/3 - 197*t**2/6 + t/3 = 0.
0, 1/98, 2
Factor -k**3 + 21*k + 20.
-(k - 5)*(k + 1)*(k + 4)
Factor v**4/4 + 17*v**3 + 849*v**2/4 - 459*v/2.
v*(v - 1)*(v +