/7 - 202*z**2/7 + 5200*z/7 - 5000/7 = 0.
1, 50
Solve -4*b**3/3 - 28*b**2/3 - 20*b - 12 = 0 for b.
-3, -1
Factor 3*s**3 - 3*s**2 - 6*s.
3*s*(s - 2)*(s + 1)
Solve -4*z**4 - 49*z**3 + 40*z**2 + 13*z = 0 for z.
-13, -1/4, 0, 1
Find q, given that 3*q**3/7 - 27*q**2/7 - 27*q/7 + 243/7 = 0.
-3, 3, 9
What is s in s**5/4 - 27*s**4/4 - 31*s**3/4 + 83*s**2/4 + 15*s/2 - 14 = 0?
-2, -1, 1, 28
Factor -3*b**3/5 + 1395*b**2 - 1081125*b + 279290625.
-3*(b - 775)**3/5
Determine r, given that -r**2/10 - 279*r/10 - 139/5 = 0.
-278, -1
What is t in -2*t**4 + 212*t**3 - 5618*t**2 = 0?
0, 53
Solve 2*i**3 - 38*i**2 = 0 for i.
0, 19
Factor 3*p**3/4 - 21*p**2/4 - 27*p/2.
3*p*(p - 9)*(p + 2)/4
Find z, given that 24*z**2 - 388*z + 64 = 0.
1/6, 16
Suppose t**3/3 - 70*t**2/3 - 71*t/3 = 0. Calculate t.
-1, 0, 71
Factor 2*d**2/13 - 14*d/13 + 12/13.
2*(d - 6)*(d - 1)/13
What is n in 3*n**2 - 357*n - 3048 = 0?
-8, 127
Factor -4*w**2 - 40*w + 96.
-4*(w - 2)*(w + 12)
Determine a, given that -4*a**4 + 40*a**3 - 92*a**2 + 56*a = 0.
0, 1, 2, 7
Factor 2*y**4/9 + 2*y**3/9 - 10*y**2/3 - 2*y + 12.
2*(y - 3)*(y - 2)*(y + 3)**2/9
Let -u**3 - 7*u**2 + 17*u - 9 = 0. What is u?
-9, 1
Solve -o**5/2 + 25*o**4/2 - 12*o**3 = 0 for o.
0, 1, 24
Factor -5*j**4 - 5*j**3 + 10*j**2.
-5*j**2*(j - 1)*(j + 2)
Factor 2*j**4 + 26*j**3 - 360*j**2 - 3416*j + 17248.
2*(j - 11)*(j - 4)*(j + 14)**2
Factor -3*c**5 + 120*c**4 - 918*c**3 + 2592*c**2 - 2511*c.
-3*c*(c - 31)*(c - 3)**3
Factor -2*v**3 + 4876*v**2 - 2971922*v.
-2*v*(v - 1219)**2
Factor 3*t**2 - 45*t - 300.
3*(t - 20)*(t + 5)
What is v in v**5/3 - 7*v**4/3 + 10*v**3/3 + 2*v**2/3 - 11*v/3 + 5/3 = 0?
-1, 1, 5
Find w such that 5*w**2 + 1645*w + 1640 = 0.
-328, -1
Find p such that -4*p**5 + 4*p**4 + 20*p**3 - 20*p**2 - 16*p + 16 = 0.
-2, -1, 1, 2
Factor -2*x**3/7 - 8*x**2/7 + 160*x/7 - 384/7.
-2*(x - 4)**2*(x + 12)/7
Suppose 2*c**2/7 + 2348*c/7 + 689138/7 = 0. Calculate c.
-587
Determine b so that -12*b**4/7 + 1412*b**3/7 + 1956*b**2/7 - 6212*b/7 + 408 = 0.
-3, 2/3, 1, 119
Factor -2*c**3/13 + 22*c**2/13 + 252*c/13.
-2*c*(c - 18)*(c + 7)/13
Let 2*q**5 - 24*q**4 - 6*q**3 + 68*q**2 + 48*q = 0. Calculate q.
-1, 0, 2, 12
Factor 3*a**2/2 - 12*a + 45/2.
3*(a - 5)*(a - 3)/2
Find q such that -3*q**4 - 315*q**3 = 0.
-105, 0
Determine m so that -2*m**3/9 - 994*m**2/3 - 2980*m/9 = 0.
-1490, -1, 0
Factor 4*y**5/3 + 4*y**4/3 - 8*y**3/3.
4*y**3*(y - 1)*(y + 2)/3
Solve -2*y**4/5 + 26*y**3/5 + 18*y**2/5 - 162*y = 0 for y.
-5, 0, 9
Solve -d**2 - 492*d - 60516 = 0 for d.
-246
Suppose -2*a**5/15 + 4*a**4/3 - 64*a**3/15 + 76*a**2/15 - 2*a = 0. Calculate a.
0, 1, 3, 5
Let 15*z**3 - 2780*z**2 + 127875*z + 86490 = 0. Calculate z.
-2/3, 93
Factor -d**2 - 2101*d + 4206.
-(d - 2)*(d + 2103)
Factor -n**3 + 3*n**2 + 46*n - 48.
-(n - 8)*(n - 1)*(n + 6)
Solve -4*m**5 - 127*m**4 - 976*m**3 + 764*m**2 + 3968*m - 1024 = 0.
-16, -2, 1/4, 2
Let -4*d**4 + 28*d**3 - 72*d**2 + 80*d - 32 = 0. Calculate d.
1, 2
Factor 7*m**2/5 + 27*m/5 - 4/5.
(m + 4)*(7*m - 1)/5
Determine j, given that 3*j**2/5 - 288*j + 34560 = 0.
240
Factor 24*j**3 + 188*j**2 - 32*j.
4*j*(j + 8)*(6*j - 1)
Factor -2*z**3/5 - 1742*z**2/5 - 3478*z/5 - 1738/5.
-2*(z + 1)**2*(z + 869)/5
Determine n so that -3*n**4/2 + 531*n**2/2 + 1176*n - 1440 = 0.
-8, 1, 15
Determine c so that -4*c**3 + 10*c**2 - 2*c - 4 = 0.
-1/2, 1, 2
Factor o**4 + 8*o**3 + 6*o**2 - 40*o + 25.
(o - 1)**2*(o + 5)**2
Factor 5*l**3 + 10*l**2 - 20*l - 40.
5*(l - 2)*(l + 2)**2
Solve -5*b**5/3 + 10*b**4/3 + 145*b**3/3 + 70*b**2 = 0 for b.
-3, -2, 0, 7
Solve 12*x**5 - 32*x**4 + 4*x**3 + 32*x**2 - 16*x = 0 for x.
-1, 0, 2/3, 1, 2
Suppose -2*y**2/9 + 14*y - 40 = 0. What is y?
3, 60
Solve f**4/2 + 2*f**3 - 11*f**2/2 + 3*f = 0 for f.
-6, 0, 1
Factor -c**4 - 37*c**3 + 39*c**2 + 37*c - 38.
-(c - 1)**2*(c + 1)*(c + 38)
Let -5*g**4/3 - 65*g**3/3 + 75*g**2 - 235*g/3 + 80/3 = 0. What is g?
-16, 1
Factor -5*a**5 - 5*a**4 + 5*a**3 + 5*a**2.
-5*a**2*(a - 1)*(a + 1)**2
Factor -v**4/8 - 7*v**3/8 + 9*v**2/8 + 63*v/8.
-v*(v - 3)*(v + 3)*(v + 7)/8
Find o such that 4*o**4/3 - 4*o**3/3 - 12*o**2 - 44*o/3 - 16/3 = 0.
-1, 4
Factor j**3/4 - j**2/4.
j**2*(j - 1)/4
Solve -3*j**5 + 162*j**4 - 2490*j**3 + 8256*j**2 - 9675*j + 3750 = 0.
1, 2, 25
Factor d**5/3 - 13*d**4 + 566*d**3/3 - 3674*d**2/3 + 3267*d - 6655/3.
(d - 11)**3*(d - 5)*(d - 1)/3
Factor -2*f**3 + 12*f**2 - 10*f - 24.
-2*(f - 4)*(f - 3)*(f + 1)
Factor 2*n**3/11 + 14*n**2/11 - 18*n/11 - 126/11.
2*(n - 3)*(n + 3)*(n + 7)/11
Suppose -4*r**2 - 916*r - 2712 = 0. Calculate r.
-226, -3
Factor j**2 + 156*j + 6084.
(j + 78)**2
Factor 4*d**2 + 4600*d + 1322500.
4*(d + 575)**2
Factor s**3/12 - 5*s**2 + 75*s.
s*(s - 30)**2/12
Determine x, given that 2*x**5/3 - 2*x**4/3 - 14*x**3 + 2*x**2/3 + 40*x/3 = 0.
-4, -1, 0, 1, 5
Let 12*s**5 + 28*s**4 - 96*s**3 - 288*s**2 - 64*s + 192 = 0. What is s?
-2, 2/3, 3
Factor s**3 + 89*s**2 + 2107*s + 5547.
(s + 3)*(s + 43)**2
Find g such that -2*g**5 + 4*g**4 + 102*g**3 - 400*g**2 + 488*g - 192 = 0.
-8, 1, 2, 6
Find v, given that -2*v**2 - 308*v/3 + 208/3 = 0.
-52, 2/3
Solve t**5/7 + 2*t**4/7 - 3*t**3 - 2*t**2 + 128*t/7 - 96/7 = 0.
-4, 1, 2, 3
Factor 2*a**3/17 + 350*a**2/17 + 15486*a/17 + 15138/17.
2*(a + 1)*(a + 87)**2/17
Suppose -4*r**4 + 104*r**3 + 112*r**2 - 104*r - 108 = 0. What is r?
-1, 1, 27
Suppose 2*c**5/9 - 19*c**4/9 + 20*c**3/9 + 35*c**2/9 - 22*c/9 - 16/9 = 0. Calculate c.
-1, -1/2, 1, 2, 8
Let -b**2/2 + 736*b - 270848 = 0. Calculate b.
736
Suppose -48*v**5 + 356*v**4 - 228*v**3 - 1936*v**2 + 816*v + 320 = 0. Calculate v.
-2, -1/4, 2/3, 4, 5
Factor 5*b**4/2 + 2385*b**3/2 - 1195*b**2.
5*b**2*(b - 1)*(b + 478)/2
Let -2*b**3/11 - 48*b**2/11 - 288*b/11 = 0. What is b?
-12, 0
Suppose 2*c**2/9 + 44*c/9 = 0. What is c?
-22, 0
Solve 3*g**5 + 9*g**4 - 66*g**3 + 114*g**2 - 81*g + 21 = 0.
-7, 1
Factor v**4 - 7*v**3 + 11*v**2 - 5*v.
v*(v - 5)*(v - 1)**2
Determine r, given that 3*r**5/8 - 453*r**4 + 7239*r**3/8 - 1809*r**2/4 = 0.
0, 1, 1206
Factor 4*y**5/5 - 16*y**4/5 - 44*y**3/5 - 24*y**2/5.
4*y**2*(y - 6)*(y + 1)**2/5
Suppose 2*o**5/15 + 2*o**4/5 - 2*o**3/5 - 14*o**2/15 + 4*o/5 = 0. Calculate o.
-3, -2, 0, 1
Find h such that -15*h**4/4 + 13*h**3 - 29*h**2/4 - 7*h - 1 = 0.
-1/3, -1/5, 2
Solve 4*a**5 + 16*a**4 - 4*a**3 - 16*a**2 = 0.
-4, -1, 0, 1
Factor -z**3/3 - 10*z**2/3 + 128*z/3 - 96.
-(z - 4)**2*(z + 18)/3
Suppose 2*n**3/9 + 20*n**2/3 - 14*n + 64/9 = 0. Calculate n.
-32, 1
Let -10*d**5 + 38*d**4 + 18*d**3 - 38*d**2 - 8*d = 0. Calculate d.
-1, -1/5, 0, 1, 4
Determine s, given that -3*s**4/4 + 15*s**3/4 = 0.
0, 5
Find l such that -2*l**2/5 - 984*l/5 - 121032/5 = 0.
-246
Determine s so that -3*s**3/7 - 165*s**2/7 + 351*s/7 + 513/7 = 0.
-57, -1, 3
Find k, given that -k**2 + 141*k - 278 = 0.
2, 139
Determine k so that -9*k**5/4 + 22*k**4 - 49*k**3 - 69*k**2/2 + 205*k/4 + 25/2 = 0.
-1, -2/9, 1, 5
Suppose 5*l**2 + 125*l = 0. Calculate l.
-25, 0
Factor 2*v**3/5 + 134*v**2/5 + 462*v + 2178/5.
2*(v + 1)*(v + 33)**2/5
Suppose -9*j**4/4 - 105*j**3/4 + 153*j**2/4 - 39*j/4 = 0. Calculate j.
-13, 0, 1/3, 1
Factor -3*f**3 - 222*f**2 - 219*f.
-3*f*(f + 1)*(f + 73)
Factor 9*k**3 - 30*k**2 + 27*k - 6.
3*(k - 2)*(k - 1)*(3*k - 1)
Find l, given that l**4 + 26*l**3 + 192*l**2 + 288*l = 0.
-12, -2, 0
Factor y**3 + 3*y**2 - 180*y.
y*(y - 12)*(y + 15)
Factor -2*k**4 - 3*k**3 + 39*k**2 + 20*k.
-k*(k - 4)*(k + 5)*(2*k + 1)
Factor -t**5 - 67*t**4 + t**3 + 67*t**2.
-t**2*(t - 1)*(t + 1)*(t + 67)
Factor 2*z**2 - 224*z - 3528.
2*(z - 126)*(z + 14)
Suppose -28*w**2 - 260*w - 72 = 0. What is w?
-9, -2/7
Find o such that 2*o**4/17 - 30*o**3/17 + 86*o**2/17 + 30*o/17 - 88/17 = 0.
-1, 1, 4, 11
Solve 5*v**3 - 95*v**2 - 440*v - 460 = 0.
-2, 23
Factor n**5/2 + 2*n**4 - 11*n**3/2 - 33*n**2 - 36*n.
n*(n - 4)*(n + 2)*(n + 3)**2/2
Find x such that -5*x**5/8 + 27*x**4/8 - 45*x**3/8 + 29*x**2/8 - 3*x/4 = 0.
0, 2/5, 1, 3
Suppose 4*d**2/3 - 44*d/3 + 40/3 = 0. What is d?
1, 10
Let y**3/3 - y**2 - 18*y + 112/3 = 0. What is y?
-7, 2, 8
Find b such that -5*b**2 + 740*b - 27380 = 0.
74
Solve -4*u**4 + 364*u**3 + 1504*u**2 + 1520*u = 0 for u.
-2, 0, 95
Let 11*k**3 - 27*k**2 - 18*k = 0. Calculate k.
-6/11, 0, 3
Factor -a**2 + 716*a - 2139.
-(a - 713)*(a - 3)
Factor 2*i**3/17 - 46*i**2/17 + 142*i/17 + 190/17.
2*(i - 19)*(i - 5)*(i + 1)/17
Find q, given that