*s**2/7 - 1828*s/7 + 3672/7 = 0 for s.
-459, 2
Let 8*i**3 + 380*i**2 + 556*i + 184 = 0. What is i?
-46, -1, -1/2
Find t such that 12*t**5 - 1257*t**4 + 909*t**3 + 2802*t**2 + 624*t = 0.
-1, -1/4, 0, 2, 104
Suppose 3*g**5 + 30*g**4 + 27*g**3 = 0. What is g?
-9, -1, 0
Factor 5*i**2 - 5170*i.
5*i*(i - 1034)
Suppose a**5/8 - 11*a**4/8 + 9*a**3/8 + 11*a**2/8 - 5*a/4 = 0. Calculate a.
-1, 0, 1, 10
Let -5*m**4 + 40*m**3 - 80*m**2 = 0. What is m?
0, 4
Let -f**2/4 - 41*f/4 - 10 = 0. Calculate f.
-40, -1
Suppose 68*j**5 + 65*j**4 - 8*j**3 - 5*j**2 = 0. Calculate j.
-1, -1/4, 0, 5/17
Suppose 4*w**2/7 + 1644*w/7 + 1640/7 = 0. What is w?
-410, -1
Factor 3*m**2/7 + 30*m/7 + 75/7.
3*(m + 5)**2/7
Determine f, given that 2*f**2 - 164*f + 1562 = 0.
11, 71
Factor -5*r**4 - 2690*r**3 - 364485*r**2 - 720920*r - 359120.
-5*(r + 1)**2*(r + 268)**2
Determine k, given that -15*k**4 + 369*k**3 - 540*k**2 - 276*k = 0.
-2/5, 0, 2, 23
Factor -d**2/3 + 151*d/3 + 152/3.
-(d - 152)*(d + 1)/3
Suppose 12675*m**2 - 1170*m + 27 = 0. Calculate m.
3/65
Find o such that 4*o**4 - 32*o**3 - 136*o**2 + 32*o + 132 = 0.
-3, -1, 1, 11
Solve -52*r**4 + 372*r**3 - 784*r**2 + 528*r - 64 = 0 for r.
2/13, 1, 2, 4
Factor -n**2/2 + 3*n/2 - 1.
-(n - 2)*(n - 1)/2
Let -3*i**3 + 48*i**2 - 159*i - 210 = 0. Calculate i.
-1, 7, 10
Suppose k**4 - 4*k**3 - 48*k**2 - 112*k - 80 = 0. What is k?
-2, 10
Find b such that -3*b**4/2 + 3*b**3 + 9*b**2/2 - 12*b + 6 = 0.
-2, 1, 2
Factor 8*k**5/9 + 76*k**4/9 + 160*k**3/9 - 100*k**2/9.
4*k**2*(k + 5)**2*(2*k - 1)/9
Determine v, given that v**3/10 + v**2/5 - v/10 - 1/5 = 0.
-2, -1, 1
What is p in -2*p**3/15 + 38*p**2/5 - 42*p - 6370/3 = 0?
-13, 35
Determine a so that a**5/3 + a**4/3 - a**3/3 - a**2/3 = 0.
-1, 0, 1
Factor 1789348484*f**3 + 7338408*f**2 + 10032*f + 32/7.
4*(1463*f + 2)**3/7
Factor o**3 - 23*o**2 + 22*o.
o*(o - 22)*(o - 1)
Factor 2*p**3/3 - 296*p**2/3 + 1714*p/3 - 1420/3.
2*(p - 142)*(p - 5)*(p - 1)/3
Determine y, given that y**5/4 - 31*y**4/8 + 111*y**3/8 - 137*y**2/8 + 55*y/8 = 0.
0, 1, 5/2, 11
Find z, given that -2*z**2/17 - 2776*z/17 + 2778/17 = 0.
-1389, 1
Factor -16*d**3/9 - 22*d**2/9 - 2*d/3.
-2*d*(d + 1)*(8*d + 3)/9
Factor 2*k**2/9 + 496*k/9 + 30752/9.
2*(k + 124)**2/9
Suppose -t**4/7 - 48*t**3/7 - 181*t**2/7 - 222*t/7 - 88/7 = 0. Calculate t.
-44, -2, -1
Solve u**3/5 + 4504*u**2/5 + 5071504*u/5 = 0 for u.
-2252, 0
Let v**3/4 + 217*v**2/4 + 2970*v + 2916 = 0. Calculate v.
-108, -1
Find d, given that -2*d**2/3 + 242*d/3 - 476/3 = 0.
2, 119
Determine k, given that k**3/3 + 169*k**2/3 + 7055*k/3 - 7225/3 = 0.
-85, 1
Let -3*v**5 + 3072*v**4 + 6*v**3 - 6144*v**2 - 3*v + 3072 = 0. What is v?
-1, 1, 1024
Solve -2*p**2 + 72*p - 198 = 0 for p.
3, 33
Factor -12*i**2 - 26*i.
-2*i*(6*i + 13)
Let 4*i**5 - 52*i**4 - 68*i**3 + 148*i**2 + 272*i + 112 = 0. Calculate i.
-1, 2, 14
Factor 2*z**3 - 18*z**2 - 96*z - 104.
2*(z - 13)*(z + 2)**2
Solve v**5/2 - v**4/2 - 17*v**3/2 + 17*v**2/2 + 8*v - 8 = 0.
-4, -1, 1, 4
Find c such that -6*c**5 + 69*c**4 - 279*c**3 + 489*c**2 - 363*c + 90 = 0.
1/2, 1, 2, 3, 5
Factor -u**4 + 13*u**3 + 15*u**2 - 13*u - 14.
-(u - 14)*(u - 1)*(u + 1)**2
Factor -5*r**4 + 5540*r**3 + 16650*r**2 + 16660*r + 5555.
-5*(r - 1111)*(r + 1)**3
Let 4*s**5/5 - 4*s**4 + 16*s**3/5 = 0. What is s?
0, 1, 4
Solve 2*m**4/9 + 28*m**3/3 + 794*m**2/9 - 616*m/3 + 968/9 = 0.
-22, 1
Determine f so that 3*f**2 - 582*f - 585 = 0.
-1, 195
Solve -2*l**4/11 + 60*l**3/11 - 448*l**2/11 - 60*l/11 + 450/11 = 0.
-1, 1, 15
Factor -z**2/3 + 17360*z/3 - 75342400/3.
-(z - 8680)**2/3
Factor -z**3/3 - 89*z**2/3 + 124*z.
-z*(z - 4)*(z + 93)/3
Find i such that 2*i**5/13 + 16*i**4/13 - 30*i**3/13 - 220*i**2/13 + 568*i/13 - 336/13 = 0.
-7, -6, 1, 2
Suppose 2*d**4/3 + 56*d**3/3 + 512*d**2/3 + 608*d + 672 = 0. What is d?
-14, -6, -2
Determine u, given that -u**3 + 3228*u**2 - 2601765*u - 5216450 = 0.
-2, 1615
Factor -5270*n**2/3 - 26354*n/3 - 20/3.
-2*(n + 5)*(2635*n + 2)/3
Factor -o**2/4 - 2*o - 7/4.
-(o + 1)*(o + 7)/4
Factor 4*t**2 + 15524*t + 15520.
4*(t + 1)*(t + 3880)
Factor -2*t**4 + 34*t**3 - 110*t**2 + 78*t.
-2*t*(t - 13)*(t - 3)*(t - 1)
Solve -2*s**4 + 22*s**3 + 26*s**2 - 22*s - 24 = 0 for s.
-1, 1, 12
Solve 2*r**4/7 + 72*r**3/7 + 570*r**2/7 - 1444*r/7 = 0.
-19, 0, 2
Let -d**5/5 - 2*d**4/5 + 19*d**3/5 + 44*d**2/5 - 12*d - 144/5 = 0. Calculate d.
-3, -2, 2, 4
Determine o so that o**2/10 - 26*o + 259/10 = 0.
1, 259
Suppose 3*v**3 + 219*v**2 + 813*v - 1035 = 0. Calculate v.
-69, -5, 1
Determine n, given that n**3/7 + 11*n**2/7 + 30*n/7 = 0.
-6, -5, 0
Find r such that 5*r**5 + 30*r**4 + 25*r**3 = 0.
-5, -1, 0
Find c, given that 5*c**5 - 615*c**3 - 1210*c**2 - 600*c = 0.
-10, -1, 0, 12
Solve 21*o**5 - 22*o**4 - 59*o**3/3 + 74*o**2/3 - 4*o/3 - 8/3 = 0 for o.
-1, -2/7, 2/3, 1
Factor -p**3/2 + 21*p**2/2 - 72*p + 160.
-(p - 8)**2*(p - 5)/2
Solve 2*s**5 + 4*s**4 - 24*s**3 - 28*s**2 + 22*s + 24 = 0 for s.
-4, -1, 1, 3
Let -21*s**5/2 + 123*s**4/2 - 75*s**3 - 75*s**2 + 171*s/2 + 27/2 = 0. What is s?
-1, -1/7, 1, 3
Factor 3*p**2 - 108*p + 972.
3*(p - 18)**2
Suppose 2*j**4/5 - 42*j**3 + 5184*j**2/5 + 17496*j/5 = 0. What is j?
-3, 0, 54
Factor x**3/2 - 5*x**2/2 - 6*x + 18.
(x - 6)*(x - 2)*(x + 3)/2
Suppose -5*b**3 + 46*b**2 - 49*b + 8 = 0. Calculate b.
1/5, 1, 8
Factor 4*f**3/7 - 52*f**2/7 - 64*f/7 + 16.
4*(f - 14)*(f - 1)*(f + 2)/7
Factor -i**4 - 13*i**3 + 15*i**2 + 13*i - 14.
-(i - 1)**2*(i + 1)*(i + 14)
Factor -4*f**5/5 + 36*f**4/5 + 324*f**3/5 - 2916*f**2/5.
-4*f**2*(f - 9)**2*(f + 9)/5
Find a, given that 7*a**3/9 - 2*a**2/3 - 5*a/3 - 2/9 = 0.
-1, -1/7, 2
Solve -2*k**3 - 588*k**2 - 57624*k - 1882384 = 0 for k.
-98
Find i such that -12*i**2 - 160*i - 1600/3 = 0.
-20/3
Let -2*p**2/13 - 440*p/13 + 34 = 0. What is p?
-221, 1
Factor -48*l**3 - 19464*l**2 - 9723*l - 1215.
-3*(l + 405)*(4*l + 1)**2
What is c in 2*c**4/3 + 10*c**3/3 - 4*c**2/3 - 16*c = 0?
-4, -3, 0, 2
Solve y**4 - 14*y**3 + 61*y**2 - 84*y + 36 = 0 for y.
1, 6
Factor -s**3 + 18*s**2 - 15*s - 34.
-(s - 17)*(s - 2)*(s + 1)
Solve 882*b**5/17 - 3220*b**4/17 + 1374*b**3/17 + 1068*b**2/17 - 56*b/17 - 48/17 = 0 for b.
-2/7, 2/9, 1, 3
Factor -4*l**4 + 104*l**3 - 852*l**2 + 2288*l - 1936.
-4*(l - 11)**2*(l - 2)**2
Factor 12*v**4 - 24*v**3 - 33*v**2 - 9*v.
3*v*(v - 3)*(2*v + 1)**2
Factor d**2/4 + 45*d/4.
d*(d + 45)/4
Factor j**3 + 18*j**2.
j**2*(j + 18)
What is q in 20*q**5 + 35*q**4 - 60*q**3 - 190*q**2 - 160*q - 45 = 0?
-1, 9/4
Let 2*h**3/21 - 10*h**2/7 - 36*h/7 = 0. Calculate h.
-3, 0, 18
Factor -5*a**3 + 135*a**2 + 285*a + 145.
-5*(a - 29)*(a + 1)**2
Factor 387*z**3/2 + 419*z**2/2 + 10*z - 6.
(z + 1)*(9*z + 2)*(43*z - 6)/2
Determine d so that -3125*d**3/6 + 10500*d**2 - 52920*d = 0.
0, 252/25
Factor -4*b**3/3 + 148*b**2.
-4*b**2*(b - 111)/3
Factor 2*t**4/9 - 46*t**3/3 + 176*t**2/3 - 520*t/9.
2*t*(t - 65)*(t - 2)**2/9
Let 64*z**4 + 124*z**3 - 72*z**2 - 124*z + 8 = 0. Calculate z.
-2, -1, 1/16, 1
Suppose 2*l**3/9 - 14*l/9 + 4/3 = 0. What is l?
-3, 1, 2
Find o, given that 2*o**5/3 + 112*o**4/3 + 2162*o**3/3 + 5220*o**2 + 8424*o + 3888 = 0.
-18, -1
Factor 4*y**4 - 12*y**2 - 8*y.
4*y*(y - 2)*(y + 1)**2
What is h in -2*h**5/7 - 68*h**4/7 + 142*h**3/7 - 72*h**2/7 = 0?
-36, 0, 1
Let -4*p**2 - 112*p - 108 = 0. What is p?
-27, -1
Factor -t**2 - 78*t.
-t*(t + 78)
Suppose 8*s**3 + 6*s**2 - 98*s + 24 = 0. What is s?
-4, 1/4, 3
Suppose 20*i**3 - 27036*i**2 + 108096*i/5 - 21616/5 = 0. What is i?
2/5, 1351
Factor -4*o**3 + 84*o**2 + 384*o + 400.
-4*(o - 25)*(o + 2)**2
Solve 2*n**3 + 28*n**2 + 58*n - 88 = 0 for n.
-11, -4, 1
Factor 45*w**4 + 575*w**3 + 1670*w**2 + 1220*w - 360.
5*(w + 2)**2*(w + 9)*(9*w - 2)
Suppose -12*o**3 - 83*o**2 + 223*o - 18 = 0. Calculate o.
-9, 1/12, 2
Factor 135*t**4 + 675*t**3 + 1260*t**2 + 1040*t + 320.
5*(t + 1)*(3*t + 4)**3
Solve 2*u**4 + 54*u**3 + 480*u**2 + 1408*u = 0 for u.
-11, -8, 0
What is u in -3*u**4 + 33*u**3 - 72*u**2 - 108*u = 0?
-1, 0, 6
Suppose 3*i**2 + 9162*i - 9165 = 0. Calculate i.
-3055, 1
Determine g so that -8*g**5/9 + 32*g**4/9 + 14*g**3 - 94*g**2 + 162*g - 90 = 0.
-5, 3/2, 3
Factor 2*y**5 + 4*y**4 - 6*y**3.
2*y**3*(y - 1)*(y + 3)
Find m such that 6*m**5/17 + 320*m**4/17 + 3138*m**3/17 - 2560*m**2/17 - 3144*m/17 + 2240/17 = 0.
-40, -14, -1, 2/3, 1
Factor -5*r**2/6 + 665*r/6 - 1210.
-5*(r - 121)*(r -