
-4, 1, 3
Solve 4*b**3/3 - 20*b**2/3 + 8*b = 0 for b.
0, 2, 3
Factor -4*c**3 + 76*c**2 + 180*c - 252.
-4*(c - 21)*(c - 1)*(c + 3)
Find u such that -27*u**2 + 75*u + 18 = 0.
-2/9, 3
Factor -2*v**2/5 - 152*v/5 - 2888/5.
-2*(v + 38)**2/5
Let -l**4 - 3*l**3/2 + 17*l**2/2 + 6*l - 18 = 0. Calculate l.
-3, -2, 3/2, 2
Solve -4*d**2 = 0 for d.
0
Let 2*t**4 - 50*t**2 = 0. Calculate t.
-5, 0, 5
Factor 2*p**5 + 3630*p**4 + 2469760*p**3 + 746139920*p**2 + 84218997600*p - 84967610912.
2*(p - 1)*(p + 454)**4
Factor 2*q**3/13 - 6*q**2/13 - 12*q/13 + 16/13.
2*(q - 4)*(q - 1)*(q + 2)/13
What is l in -l**2/6 + 11*l/6 + 40/3 = 0?
-5, 16
Factor 3*q**4 - 114*q**3 + 288*q**2 + 17280*q.
3*q*(q - 24)**2*(q + 10)
Determine s so that s**5 + 9*s**4 - 2*s**3 - 18*s**2 + s + 9 = 0.
-9, -1, 1
Let -n**2/3 + 17*n/3 - 20 = 0. What is n?
5, 12
Determine u so that 400*u**3/3 - 280*u**2 + 27*u - 2/3 = 0.
1/20, 2
What is o in -o**5/4 + o**4 + 3*o**3/4 - 9*o**2/2 = 0?
-2, 0, 3
Factor -35*i**3 - 11035*i**2 - 35910*i - 9360.
-5*(i + 3)*(i + 312)*(7*i + 2)
Factor 4*k**4 + 22*k**3 + 42*k**2 + 32*k + 8.
2*(k + 1)*(k + 2)**2*(2*k + 1)
Find x, given that 16*x**4 - 1588*x**3 + 6524*x**2 - 6092*x + 1140 = 0.
1/4, 1, 3, 95
Factor -142*c**3 - 138*c**2 + 4*c.
-2*c*(c + 1)*(71*c - 2)
Factor -a**3/7 + 15*a**2/7 - 48*a/7 + 44/7.
-(a - 11)*(a - 2)**2/7
Determine n so that -6*n**5 - 20*n**4 - 74*n**3/3 - 40*n**2/3 - 8*n/3 = 0.
-1, -2/3, 0
Solve 2*n**4 - 22*n**3 + 78*n**2 - 98*n + 40 = 0.
1, 4, 5
Factor 13*w**2/10 + 14*w.
w*(13*w + 140)/10
Factor -3*z**2 + 69*z - 126.
-3*(z - 21)*(z - 2)
Determine s, given that 4*s**2 - 632*s + 24964 = 0.
79
Let -o**3 - 15*o**2 - 59*o - 45 = 0. What is o?
-9, -5, -1
Determine a, given that -2*a**2/3 + 244*a/3 + 82 = 0.
-1, 123
Solve w**4 - 7*w**2 + 6*w = 0.
-3, 0, 1, 2
Factor -2*p**2 - 338*p + 340.
-2*(p - 1)*(p + 170)
Determine p so that -3*p**4/4 + 123*p**3 - 5283*p**2 + 19680*p - 19200 = 0.
2, 80
Factor -4*s**3 + 104*s**2 - 724*s + 1344.
-4*(s - 16)*(s - 7)*(s - 3)
Solve -5*g**4/6 + 23*g**3/6 + 35*g**2/3 - 26*g - 12 = 0.
-3, -2/5, 2, 6
Factor -2*v**2 + 16*v + 66.
-2*(v - 11)*(v + 3)
Factor -5*v**2/2 + 267*v/4 + 81/4.
-(v - 27)*(10*v + 3)/4
Let 70*o**3 - 36*o**2 - 16*o = 0. What is o?
-2/7, 0, 4/5
Determine d, given that -2*d**3/9 + 2*d**2/9 + 4*d/9 = 0.
-1, 0, 2
Factor 2*d**5 + 2*d**4 - 6*d**3 - 10*d**2 - 4*d.
2*d*(d - 2)*(d + 1)**3
Let -3*w**2/5 + 312*w + 4707/5 = 0. Calculate w.
-3, 523
Factor 2*x**3/5 - 4*x**2/5 - 2*x/5 + 4/5.
2*(x - 2)*(x - 1)*(x + 1)/5
Let -21*i**2/4 + 57*i/2 - 30 = 0. Calculate i.
10/7, 4
Solve -2*r**5/3 - 14*r**4/3 - 6*r**3 + 14*r**2/3 + 20*r/3 = 0 for r.
-5, -2, -1, 0, 1
Factor -2*t**4/15 - 22*t**3/15 - 18*t**2/5 - 10*t/3 - 16/15.
-2*(t + 1)**3*(t + 8)/15
Find c, given that -4*c**3 + 100*c**2 + 104*c = 0.
-1, 0, 26
Find w, given that -2*w**4/3 - 22*w**3/3 + 118*w**2/3 - 14*w - 60 = 0.
-15, -1, 2, 3
Factor -2*q**2/13 + 72*q/13 + 74/13.
-2*(q - 37)*(q + 1)/13
Suppose 8*q**4 + 10*q**3 - 30*q**2 - 40*q - 8 = 0. What is q?
-2, -1, -1/4, 2
Let -j**3/2 + 21*j**2/2 - 60*j + 50 = 0. What is j?
1, 10
Solve 2*j**5/17 - 8*j**4/17 + 6*j**3/17 = 0.
0, 1, 3
Factor -2*a**2/3 + 166*a/3 - 108.
-2*(a - 81)*(a - 2)/3
Find g, given that -4*g**4/5 - 268*g**3/5 + 828*g**2/5 - 836*g/5 + 56 = 0.
-70, 1
Find z, given that 2*z**5 - 12*z**3 - 16*z**2 - 6*z = 0.
-1, 0, 3
Let -x**5/2 + 4*x**4 - 21*x**3/2 + 9*x**2 = 0. What is x?
0, 2, 3
Factor -2*t**2/15 - 14888*t/15 - 27706568/15.
-2*(t + 3722)**2/15
Determine m so that 4*m**2/9 - 404*m - 3640/9 = 0.
-1, 910
Factor -3*m**3/8 + 69*m**2/4 + 453*m/8 - 147/2.
-3*(m - 49)*(m - 1)*(m + 4)/8
Find x, given that 5*x**5 - 10*x**4 - 85*x**3 - 10*x**2 + 260*x + 200 = 0.
-2, -1, 2, 5
Factor -3*q**4 + 117*q**3 - 225*q**2 + 111*q.
-3*q*(q - 37)*(q - 1)**2
Solve -5*v**3 - 4420*v**2 + 4425*v = 0 for v.
-885, 0, 1
Factor 2*y**2/11 - 10*y/11 - 100/11.
2*(y - 10)*(y + 5)/11
What is u in -u**2/2 + 8*u - 15/2 = 0?
1, 15
What is t in 4*t**3 + 692*t**2 - 704*t - 1392 = 0?
-174, -1, 2
Determine c, given that -2*c**2/5 + 864*c/5 - 93312/5 = 0.
216
Find j such that -2*j**3/3 + 16*j**2/9 - 14*j/9 + 4/9 = 0.
2/3, 1
Determine d, given that -3*d**5 - 69*d**4/7 - 81*d**3/7 - 39*d**2/7 - 6*d/7 = 0.
-1, -2/7, 0
Factor -w**2/3 - 9*w + 30.
-(w - 3)*(w + 30)/3
Let -2*b**3/5 + 46*b**2/5 = 0. What is b?
0, 23
What is k in -4*k**2 - 408*k - 10404 = 0?
-51
What is b in 6*b**4/7 + 34*b**3/7 + 8*b**2 + 24*b/7 = 0?
-3, -2, -2/3, 0
Find u such that 3*u**3/7 - 93*u**2/7 = 0.
0, 31
Let 3*q**5 - 72*q**4 + 39*q**3 + 666*q**2 + 552*q = 0. Calculate q.
-2, -1, 0, 4, 23
What is x in -x**2/2 - 36*x + 553/2 = 0?
-79, 7
Let 10*u**5/7 + 22*u**4/21 + 4*u**3/21 = 0. Calculate u.
-2/5, -1/3, 0
Factor 3*g**3 - 45*g**2 - 219*g - 171.
3*(g - 19)*(g + 1)*(g + 3)
Determine f so that 9*f**3/5 + 29*f**2/5 + 24*f/5 + 4/5 = 0.
-2, -1, -2/9
Find r, given that 20*r**4 + 316*r**3 + 1500*r**2 + 1988*r + 784 = 0.
-7, -1, -4/5
Let 2*h**2/3 + 14*h/3 + 4 = 0. What is h?
-6, -1
Factor 45*f**2 + 235*f + 220.
5*(f + 4)*(9*f + 11)
Solve -3*r**3 + 9*r**2 + 72*r - 240 = 0.
-5, 4
Find q, given that 9*q**4 + 264*q**3 + 1323*q**2 + 240*q - 828 = 0.
-23, -6, -1, 2/3
Solve 5*d**4 - 10*d**3 - 75*d**2 - 20*d + 100 = 0.
-2, 1, 5
Solve 3*u**2/5 - 3/5 = 0.
-1, 1
Factor -2*a**2/3 + 2*a + 20/3.
-2*(a - 5)*(a + 2)/3
Let 2*x**3 - 12*x**2 + 10*x = 0. What is x?
0, 1, 5
What is i in 4*i**4 + 14*i**3 - 190*i**2 + 82*i + 90 = 0?
-9, -1/2, 1, 5
Let f**5/7 + 297*f**4/7 + 22494*f**3/7 + 65710*f**2/7 + 9303*f + 3087 = 0. What is f?
-147, -1
Solve 5*q**4 + 215*q**3 - 220*q**2 = 0.
-44, 0, 1
Find o such that -12*o**5 + 1704*o**4 - 58743*o**3 - 125685*o**2 + 42768*o + 139968 = 0.
-3/2, 1, 72
Factor 5*b**4 + 10*b**3 - 15*b**2.
5*b**2*(b - 1)*(b + 3)
Let 3*p**4 + 51*p**3 = 0. What is p?
-17, 0
What is m in 5*m**2 - 645*m = 0?
0, 129
Find t such that -5*t**3 - 25*t**2 + 5*t + 25 = 0.
-5, -1, 1
Let -c**4/11 - 389*c**3/11 - 2689*c**2/11 - 5739*c/11 - 3438/11 = 0. Calculate c.
-382, -3, -1
Let -5*s**3 + 215*s**2 - 210*s = 0. Calculate s.
0, 1, 42
Factor 3*i**3/8 - 15*i**2/4 + 87*i/8 - 15/2.
3*(i - 5)*(i - 4)*(i - 1)/8
Factor -2*g**3 + 16*g**2 + 306*g.
-2*g*(g - 17)*(g + 9)
What is n in 27*n**4 + 9*n**3 - 276*n**2 + 432*n - 192 = 0?
-4, 1, 4/3
Let -w**3/9 - 17*w**2/9 + w/9 + 17/9 = 0. What is w?
-17, -1, 1
Solve -24*m**4 - 92*m**3 + 376*m**2 + 368*m - 1120 = 0.
-35/6, -2, 2
Determine c, given that c**4/2 - 20*c**3 + 91*c**2 - 124*c + 105/2 = 0.
1, 3, 35
Determine i so that -2*i**4 - 10*i**3 - 6*i**2 + 18*i = 0.
-3, 0, 1
Factor 2*v**3/13 - 16*v**2/13 + 30*v/13.
2*v*(v - 5)*(v - 3)/13
Factor s**4/4 - 29*s**3/4 + 97*s**2/2 + 56*s.
s*(s - 16)*(s - 14)*(s + 1)/4
Let 4*a**4/7 + 16*a**3/7 = 0. Calculate a.
-4, 0
Factor -2*i**2/5 - 20*i + 102/5.
-2*(i - 1)*(i + 51)/5
Factor t**3 + 11*t**2.
t**2*(t + 11)
Solve 3*f**3/2 + 477*f**2/4 - 564*f + 252 = 0 for f.
-84, 1/2, 4
Factor 17*p**3 - 20*p**2 + 3*p.
p*(p - 1)*(17*p - 3)
Factor 2*a**3 - 66*a**2 + 510*a - 1150.
2*(a - 23)*(a - 5)**2
Factor -72*c**2 - 309*c - 330.
-3*(c + 2)*(24*c + 55)
Suppose -3*r**4 + 306*r**3 - 300*r**2 - 306*r + 303 = 0. What is r?
-1, 1, 101
Find n, given that 450*n**3/13 - 930*n**2/13 - 1162*n/13 - 294/13 = 0.
-7/15, 3
Factor -i**5/4 - 5*i**4/2 - 17*i**3/4 - 2*i**2.
-i**2*(i + 1)**2*(i + 8)/4
Suppose 159*q**2/5 - 3171*q/5 - 36 = 0. What is q?
-3/53, 20
Solve -3*l**4 - 33*l**3 - 60*l**2 + 96*l = 0.
-8, -4, 0, 1
Factor -3*r**4 + 102*r**3 - 855*r**2 - 408*r + 3468.
-3*(r - 17)**2*(r - 2)*(r + 2)
Find v, given that -2*v**5/3 + 10*v**4/3 - 10*v**3/3 - 10*v**2/3 + 4*v = 0.
-1, 0, 1, 2, 3
Solve -n**2 - 150*n - 5625 = 0.
-75
Let -675*u**3 - 960*u**2 - 423*u - 54 = 0. Calculate u.
-3/5, -2/9
Find w such that -4*w**3 - 92*w**2 + 4*w + 92 = 0.
-23, -1, 1
Factor i**2 - 42*i.
i*(i - 42)
Factor b**3/2 + 3*b**2/2 - 3*b - 4.
(b - 2)*(b + 1)*(b + 4)/2
Factor 5*i**3 - 130*i**2 - 425*i - 290.
5*(i - 29)*(i + 1)*(i + 2)
Determine g so that -g**2/3 + 628*g/3 = 0.
0, 628
Solve -2*q**4 + 58*q**3 - 54*q**2 - 58*q + 56 = 0.
-1, 1, 28
Factor 3*d**4 + 3*d**3 - 585*d**2 + 3633*d - 4998.
3*(d - 7)**2*(d - 2)*(d + 17)
Solve -5*f**3 + 35*f**2 + 140*f + 100 = 0 for f.
-2, -1, 10
Suppose d**4/6 - 68*d**3/3 - 71*d**2/3 + 344*d/3 - 137/2 = 0. What is d?
-3, 1, 137
What is x in -2*x**4 + 16*x**3 -