1*b**2/2 - 37*b/2 + 105 = 0.
-42, -1, 1, 5
Let 1960*v**3 + 3916*v**2 - 8*v = 0. Calculate v.
-2, 0, 1/490
Factor -x**4/2 + 14*x**3 - 66*x**2 - 448*x - 512.
-(x - 16)**2*(x + 2)**2/2
Solve -z**5/2 + 131*z**4 - 513*z**3/2 - 920*z**2 + 2606*z - 1560 = 0 for z.
-3, 1, 2, 260
Let 5*o**5 + 22*o**4 + 18*o**3 - 16*o**2 - 23*o - 6 = 0. What is o?
-3, -1, -2/5, 1
Factor -3*v**2 + 2322*v - 449307.
-3*(v - 387)**2
Factor -55*w**3 - 30*w**2 + 135*w - 50.
-5*(w - 1)*(w + 2)*(11*w - 5)
Factor -8*r**5/15 - 2*r**4/15.
-2*r**4*(4*r + 1)/15
Factor -m**5 + 100*m**4 - 2688*m**3 + 9216*m**2.
-m**2*(m - 48)**2*(m - 4)
Factor 2*i**2 - 230*i + 672.
2*(i - 112)*(i - 3)
Factor 4*d**4/5 - 3*d**3 - 52*d**2/5 - 12*d/5.
d*(d - 6)*(d + 2)*(4*d + 1)/5
Solve -2*h**5/9 - 6*h**4 - 46*h**3/9 + 158*h**2/9 + 16*h/3 - 104/9 = 0 for h.
-26, -2, -1, 1
Determine s, given that 3*s**3/7 - 17658*s**2/7 + 25983747*s/7 = 0.
0, 2943
Find n such that -2*n**5/5 + 4*n**3/5 - 2*n/5 = 0.
-1, 0, 1
Suppose -g**4/3 + 7*g**3/3 - 3*g**2 - 7*g/3 + 10/3 = 0. Calculate g.
-1, 1, 2, 5
Factor 2*m**2 + 50*m + 48.
2*(m + 1)*(m + 24)
Factor -c**3/5 + 17*c**2/5 - 6*c.
-c*(c - 15)*(c - 2)/5
Factor 27*h**5/2 - 53*h**4 + 50*h**3 + 4*h**2.
h**2*(h - 2)**2*(27*h + 2)/2
Solve -o**4/11 - 241*o**3/11 - 1263*o**2 + 7011*o + 90774/11 = 0.
-123, -1, 6
Determine j so that 2*j**3/15 + 2*j**2/15 - 32*j/15 - 32/15 = 0.
-4, -1, 4
Suppose 8820*v**4 + 26880*v**3 + 18905*v**2 + 855*v + 10 = 0. Calculate v.
-2, -1, -1/42
Let -t**2 + 30*t - 125 = 0. Calculate t.
5, 25
Let 14*m**5 + 94*m**4 - 14*m**3 - 382*m**2 + 360*m - 72 = 0. Calculate m.
-6, -3, 2/7, 1
Factor 35*w**4 + 215*w**3 + 175*w**2 - 155*w - 150.
5*(w + 1)**2*(w + 5)*(7*w - 6)
Factor -4*h**2 - 56*h - 192.
-4*(h + 6)*(h + 8)
Determine i, given that -i**3 + 19*i**2 + 336*i + 1116 = 0.
-6, 31
Factor y**5/2 + 2*y**4 + 2*y**3 - y**2 - 5*y/2 - 1.
(y - 1)*(y + 1)**3*(y + 2)/2
Find x such that -5*x**3/3 + 15*x**2 + 5*x/3 - 15 = 0.
-1, 1, 9
What is i in 6*i**4 - 186*i**3 + 1042*i**2/3 + 62*i/3 - 116/3 = 0?
-1/3, 1/3, 2, 29
Factor -5*u**3 - 395*u**2.
-5*u**2*(u + 79)
Factor -2*w**4/3 + 4*w**3 - 2*w**2 - 20*w/3.
-2*w*(w - 5)*(w - 2)*(w + 1)/3
Let 2*a**5 - 2*a**4 - 22*a**3 - 14*a**2 + 20*a + 16 = 0. Calculate a.
-2, -1, 1, 4
Let -a**4/3 + 5*a**3 - 58*a**2/3 + 28*a - 40/3 = 0. Calculate a.
1, 2, 10
Find f, given that -8*f**3/3 + 50*f**2/3 - 4*f = 0.
0, 1/4, 6
Determine t so that 3*t**3 + 69*t**2/4 + 21*t/2 - 15/4 = 0.
-5, -1, 1/4
Factor 3*f**3 - 150*f**2 - 153*f.
3*f*(f - 51)*(f + 1)
Factor 3*w**3/4 - 3*w/4.
3*w*(w - 1)*(w + 1)/4
Let y**4/4 - 11*y**3/4 - 39*y**2/4 - 41*y/4 - 7/2 = 0. Calculate y.
-1, 14
Determine z, given that 4*z**2/7 - 1840*z + 1481200 = 0.
1610
Factor -3*b**2 + 114*b - 111.
-3*(b - 37)*(b - 1)
Factor 2*f**3/7 - 34*f**2 - 36*f + 1440/7.
2*(f - 120)*(f - 2)*(f + 3)/7
Solve 5*d**5 + 5*d**4 - 5*d**3 - 5*d**2 = 0.
-1, 0, 1
Determine t, given that 4*t**5 - 2*t**4 - 12*t**3 - 2*t**2 + 4*t = 0.
-1, 0, 1/2, 2
Factor -f**5 + 475*f**4 - 56168*f**3 - 56644*f**2.
-f**2*(f - 238)**2*(f + 1)
Factor -6*h**4 + 21*h**3 - 21*h**2 + 6*h.
-3*h*(h - 2)*(h - 1)*(2*h - 1)
Let 2*z**3/5 + 6*z**2/5 - 68*z/5 + 96/5 = 0. What is z?
-8, 2, 3
Let 3*q**4 + 102*q**3 + 1119*q**2 + 4284*q + 5292 = 0. Calculate q.
-14, -3
Find a, given that -14*a**2/3 - 2830*a/3 - 404/3 = 0.
-202, -1/7
Factor -38*a**4/7 - 80*a**3/7 - 46*a**2/7 - 4*a/7.
-2*a*(a + 1)**2*(19*a + 2)/7
Determine k, given that -3*k**5 - 1017*k**4 - 86697*k**3 - 85683*k**2 = 0.
-169, -1, 0
Factor 4*s**4/3 + 10*s**3/9 - 2*s**2/9.
2*s**2*(s + 1)*(6*s - 1)/9
Factor -u**4/3 - 73*u**3/3 + u**2/3 + 73*u/3.
-u*(u - 1)*(u + 1)*(u + 73)/3
Factor 5*r**4 + 940*r**3 + 1860*r**2.
5*r**2*(r + 2)*(r + 186)
Solve 2*y**5/5 + 291*y**4/5 - 737*y**3/5 + 89*y**2 + 147*y/5 - 148/5 = 0 for y.
-148, -1/2, 1
Suppose 90*v**5 - 1818*v**4 + 7286*v**3 + 20474*v**2 - 4664*v - 968 = 0. What is v?
-2, -2/15, 1/3, 11
Determine h so that 5*h**5 + 15*h**4 - 20*h**3 - 80*h**2 + 80 = 0.
-2, 1, 2
Suppose 7*n**5/2 - 285*n**4/2 - 188*n**3 - 42*n**2 = 0. Calculate n.
-1, -2/7, 0, 42
Let -n**2/3 - 647*n/3 - 644 = 0. What is n?
-644, -3
Factor -2*h**2 + 312*h - 2646.
-2*(h - 147)*(h - 9)
Factor -x**4/3 - 13*x**3/3 + 16*x**2 - 4*x/3 - 64/3.
-(x - 2)**2*(x + 1)*(x + 16)/3
Factor -4*f**3 - 32*f**2.
-4*f**2*(f + 8)
Solve -10*s**4 + 42*s**3 - 34*s**2 - 42*s + 44 = 0.
-1, 1, 2, 11/5
Find c, given that 2*c**5 - 24*c**4/5 - 2*c**3/5 + 24*c**2/5 - 8*c/5 = 0.
-1, 0, 2/5, 1, 2
Let -3*t**3/7 - 18*t**2/7 + 96/7 = 0. What is t?
-4, 2
Let 4*s**2/9 + 4*s/9 = 0. Calculate s.
-1, 0
Let 3*n**2 - 21*n - 90 = 0. What is n?
-3, 10
Factor b**5 - 33*b**4 - 35*b**3 + 33*b**2 + 34*b.
b*(b - 34)*(b - 1)*(b + 1)**2
Let -3*u**4 + 51*u**3 + 183*u**2 - 51*u - 180 = 0. Calculate u.
-3, -1, 1, 20
Factor 3*n**5 - 6*n**4 - 33*n**3 + 36*n**2.
3*n**2*(n - 4)*(n - 1)*(n + 3)
Factor 4*n**3/9 - 2*n**2/9 - 16*n/9 + 8/9.
2*(n - 2)*(n + 2)*(2*n - 1)/9
Determine a so that -38*a**2 - 4*a/3 = 0.
-2/57, 0
Solve 5*v**4 + 30*v**3 - 415*v**2 + 600*v + 1040 = 0.
-13, -1, 4
Factor -n**2/8 - 179*n/8 + 45/2.
-(n - 1)*(n + 180)/8
Factor 4*q**3 - 24*q**2 + 20*q + 48.
4*(q - 4)*(q - 3)*(q + 1)
Solve -n**4/2 + 5*n**3/2 + n**2/2 - 17*n/2 - 6 = 0 for n.
-1, 3, 4
Solve 2*x**3 + 54*x**2 - 528*x + 1120 = 0 for x.
-35, 4
Factor 5*c**2 - 4610*c - 9240.
5*(c - 924)*(c + 2)
Suppose 2*l**3 + 228*l**2 + 6264*l - 13456 = 0. Calculate l.
-58, 2
Solve -3*d**2 + 1323*d - 1320 = 0.
1, 440
Factor -6*b**5 - 303*b**4/2 - 75*b**3/2.
-3*b**3*(b + 25)*(4*b + 1)/2
Find m such that -m**4/2 + 11*m**3/4 + 5*m**2 + 7*m/4 = 0.
-1, -1/2, 0, 7
Determine u so that -u**5 - 28*u**4 + 434*u**3 - 1780*u**2 + 2375*u - 1000 = 0.
-40, 1, 5
Factor -g**4/2 + 631*g**3/4 - 66465*g**2/4 + 2348325*g/4 - 1157625/4.
-(g - 105)**3*(2*g - 1)/4
Determine w so that -w**4/2 + 5*w**3/2 - 2*w**2 = 0.
0, 1, 4
Suppose u**2/2 + 23*u/2 + 21 = 0. What is u?
-21, -2
Factor 2*w**5 - 10*w**4 + 12*w**3.
2*w**3*(w - 3)*(w - 2)
Factor -4*h**4 - 8*h**3 + 80*h**2 - 96*h.
-4*h*(h - 2)**2*(h + 6)
Suppose -3*c**2 + 1416*c - 167088 = 0. Calculate c.
236
Let -4*b**5 - 12*b**4 - 8*b**3 = 0. What is b?
-2, -1, 0
Find n such that n**3 + 39*n**2 - 40*n = 0.
-40, 0, 1
Solve 8*h**4/5 + 7274*h**3/5 + 331602*h**2 + 2062976*h/5 + 412232/5 = 0.
-454, -1, -1/4
Factor -3*g**3 + 2358*g**2 - 460980*g - 931416.
-3*(g - 394)**2*(g + 2)
Find s, given that 414*s**3/25 - 64*s**2 - 232*s/25 + 32/25 = 0.
-2/9, 2/23, 4
Factor -o**3/7 - 5*o**2/7 - 6*o/7.
-o*(o + 2)*(o + 3)/7
Let -6*q**3/7 - 74*q**2/7 + 136*q/7 - 8 = 0. Calculate q.
-14, 2/3, 1
Factor 2*j**4 + 58*j**3 + 558*j**2 + 1782*j.
2*j*(j + 9)**2*(j + 11)
Factor 5*d**2 + 580*d - 1180.
5*(d - 2)*(d + 118)
Suppose t**3 - 1444*t**2 + 521284*t = 0. What is t?
0, 722
Factor 8*q**2 - 6*q.
2*q*(4*q - 3)
Factor -2*q**3 + 10*q**2 - 14*q + 6.
-2*(q - 3)*(q - 1)**2
What is r in -9*r**5 + 2136*r**4 - 7056*r**3 + 8442*r**2 - 4215*r + 702 = 0?
1/3, 1, 234
Factor 5*t**2 + 23*t/4 + 3/4.
(t + 1)*(20*t + 3)/4
Solve 2*j**4/3 + 632*j**3/3 + 49292*j**2/3 - 33496*j + 16854 = 0 for j.
-159, 1
Factor j**2/4 + 9*j/2 + 17/4.
(j + 1)*(j + 17)/4
Factor v**3/6 + 89*v**2/6 + 1012*v/3 + 968/3.
(v + 1)*(v + 44)**2/6
Factor -25*p**3/2 + 65*p**2/2 + 45*p/2 - 45/2.
-5*(p - 3)*(p + 1)*(5*p - 3)/2
Suppose 15*j**5 - 156*j**4 + 285*j**3 + 60*j**2 - 300*j + 96 = 0. Calculate j.
-1, 2/5, 1, 2, 8
Suppose -u**5 + 196*u**4 + 596*u**3 + 202*u**2 - 595*u - 398 = 0. Calculate u.
-2, -1, 1, 199
Factor -w**2 - 561*w - 560.
-(w + 1)*(w + 560)
Factor -z**3 - 730*z**2 - 131753*z + 538756.
-(z - 4)*(z + 367)**2
Determine r so that -2*r**4/11 + 16*r**3/11 + 686*r**2/11 + 1916*r/11 + 1248/11 = 0.
-13, -2, -1, 24
Determine q so that 3*q**4/2 + 3*q**3 - 15*q**2/2 - 9*q = 0.
-3, -1, 0, 2
Factor o**3/2 + 24*o**2 - 158*o + 216.
(o - 4)*(o - 2)*(o + 54)/2
Factor g**2 - 89*g.
g*(g - 89)
Factor -5*p**2 + 285*p + 590.
-5*(p - 59)*(p + 2)
Factor 14*i**5/3 - 4*i**4 - 92*i**3/3 + 208*i**2/3 - 54*i + 44/3.
2*(i - 1)**4*(7*i + 22)/3
Suppose -3*c**2/5 + 24*c/5 = 0. Calculate c.
0, 8
Factor -15*b**3 + 69*b**2 - 30*b - 24.
-3*(b - 4)*(b - 1)*(5*b + 2)
Factor -3*v**2/2 - 231*v/2 - 225.
-3*(v + 2)*(v + 75)/2
Let p**4/6 - 73*p**3/6 + 35*p**2 + 2*p/3 - 140/3 = 0. What is p?
-1, 2, 70
What is x in -x**3/3 + x**2 + 4*x/3 - 4 = 0?
-2, 2, 3
Factor 