(t - 2)**2*(t + 3)**2/3
Suppose 3*z**2 - 3168*z + 3165 = 0. Calculate z.
1, 1055
Factor 2*u**5/17 - 6*u**4 - 104*u**3/17.
2*u**3*(u - 52)*(u + 1)/17
Determine h so that 246*h**3 + 988*h**2 + 754*h + 12 = 0.
-3, -1, -2/123
Let k**4/2 - 25*k**3/2 - 71*k**2 - 118*k - 60 = 0. Calculate k.
-2, -1, 30
Find r such that -7*r**3/8 - r**2/8 + 7*r/8 + 1/8 = 0.
-1, -1/7, 1
Factor 20*c**4 + 1880*c**3 - 1895*c**2 + 475*c.
5*c*(c + 95)*(2*c - 1)**2
Suppose 2048*a**3 + 16128*a**2 + 42336*a + 37044 = 0. Calculate a.
-21/8
Factor 2*w**3/7 - 936*w**2/7 + 3712*w/7.
2*w*(w - 464)*(w - 4)/7
Factor -4*v**3 - 2020*v**2 - 2008*v + 4032.
-4*(v - 1)*(v + 2)*(v + 504)
Factor a**5/3 - a**4/3 - 7*a**3/3 + 13*a**2/3 - 2*a.
a*(a - 2)*(a - 1)**2*(a + 3)/3
What is p in -2*p**2/21 - 4*p/3 - 26/21 = 0?
-13, -1
Factor -51*m**3 + 135*m**2 - 48*m - 36.
-3*(m - 2)*(m - 1)*(17*m + 6)
Determine x, given that -2*x**5/5 + 26*x**4/5 - 94*x**3/5 + 46*x**2/5 + 168*x/5 = 0.
-1, 0, 3, 4, 7
Let -i**3/4 + 3*i**2/4 + 3*i/2 - 2 = 0. Calculate i.
-2, 1, 4
Determine y so that 2*y**4 - 36*y**3 + 216*y**2 - 476*y + 294 = 0.
1, 3, 7
Factor u**2/6 - 43*u/3 + 1849/6.
(u - 43)**2/6
Determine j, given that -4*j**3 - 36*j**2 - 32*j = 0.
-8, -1, 0
Factor -5*m**3/12 - 487*m**2/12 + 74*m/3 + 49/3.
-(m - 1)*(m + 98)*(5*m + 2)/12
What is x in -3*x**3/2 - 210*x**2 - 15111*x/2 - 14283 = 0?
-69, -2
Let -14*s**5/5 - 424*s**4/5 - 150*s**3 + 860*s**2 + 5984*s/5 + 1344/5 = 0. What is s?
-28, -4, -1, -2/7, 3
Suppose -5*p**5 - 40*p**4 - 85*p**3 - 50*p**2 = 0. Calculate p.
-5, -2, -1, 0
Find o such that 10*o**4/7 + 24*o**3/7 - 2*o**2/7 - 24*o/7 - 8/7 = 0.
-2, -1, -2/5, 1
Suppose 4*g**3 + 76*g**2 - 1984*g + 8960 = 0. What is g?
-35, 8
Determine r, given that -r**3 + 14*r**2 + 55*r - 968 = 0.
-8, 11
Solve 2*a**4/11 - 8*a**3/11 - 2*a**2/11 + 8*a/11 = 0.
-1, 0, 1, 4
Factor -3*n**4/2 - 9*n**3/2 + 6*n**2.
-3*n**2*(n - 1)*(n + 4)/2
Let a**2 + 15*a - 34 = 0. What is a?
-17, 2
Suppose 5*l**2 + 5*l - 30 = 0. Calculate l.
-3, 2
Let -r**4 + 30*r**3 - 56*r**2 = 0. Calculate r.
0, 2, 28
Factor 60*l**3 + 175*l**2 + 105*l - 10.
5*(l + 1)*(l + 2)*(12*l - 1)
Determine i so that -i**4/6 + 2*i**3/3 + 13*i**2/6 - 20*i/3 - 8 = 0.
-3, -1, 4
Solve 1323*k**2 - 1428*k + 1156/3 = 0 for k.
34/63
Factor 2*x**4 - 2*x**3 - 52*x**2 - 48*x.
2*x*(x - 6)*(x + 1)*(x + 4)
Suppose 2*w**2 + 6840*w - 6842 = 0. What is w?
-3421, 1
Find i such that -2*i**2/13 - 22*i/13 - 20/13 = 0.
-10, -1
Factor 3*h**3 + 2277*h**2 + 576081*h + 48582831.
3*(h + 253)**3
Factor -225*c**5/4 - 615*c**4/4 + 44*c**3 - 3*c**2.
-c**2*(c + 3)*(15*c - 2)**2/4
Factor -2*k**5 - 8*k**4 + 24*k**3.
-2*k**3*(k - 2)*(k + 6)
Let z**4/9 - 2*z**3/3 + z**2/3 + 10*z/9 = 0. Calculate z.
-1, 0, 2, 5
Factor 3*f**4/7 - 15*f**3/7 + 24*f**2/7 - 12*f/7.
3*f*(f - 2)**2*(f - 1)/7
Factor 2*p**2/17 + 19124*p/17 + 45715922/17.
2*(p + 4781)**2/17
Let 36*a**4 + 24884*a**3 - 44332*a**2 + 13868*a + 5544 = 0. Calculate a.
-693, -2/9, 1
Factor 5*w**2/2 + 5629*w - 2252.
(w + 2252)*(5*w - 2)/2
Determine s, given that -292*s**4/3 - 2048*s**3/3 - 4700*s**2/3 - 3568*s/3 - 16 = 0.
-3, -2, -1/73
What is i in 3*i**5/2 - 51*i**4/4 - 33*i**3/4 + 51*i**2/4 + 27*i/4 = 0?
-1, -1/2, 0, 1, 9
Factor -30*h**3 + 5*h**2.
-5*h**2*(6*h - 1)
Find j such that -j**3/4 + 13*j**2/4 + 38*j + 84 = 0.
-4, 21
Factor -n**3/3 + 26*n**2 + n/3 - 26.
-(n - 78)*(n - 1)*(n + 1)/3
Determine d so that d**2/5 - 36*d/5 + 99/5 = 0.
3, 33
Factor 1082*q**2/9 - 1078*q/9 - 4/9.
2*(q - 1)*(541*q + 2)/9
Determine j so that 2*j**5/5 + 6*j**4 - 200*j**2 = 0.
-10, 0, 5
Find n, given that -2*n**5/9 + 17*n**4/3 - 4*n**3/3 - 346*n**2/9 + 178*n/3 - 25 = 0.
-3, 1, 3/2, 25
What is a in -a**5 - 41*a**4 - 117*a**3 - 115*a**2 - 38*a = 0?
-38, -1, 0
Find p such that -32*p**3 - 212*p**2 - 180*p = 0.
-45/8, -1, 0
Solve -242*b**5/19 - 1144*b**4/19 + 1926*b**3/19 + 356*b**2/19 - 704*b/19 - 192/19 = 0 for b.
-6, -4/11, 1
What is p in -4*p**2 + 49*p/5 + 294/5 = 0?
-14/5, 21/4
Factor 576*u**3/5 + 128*u**2/5 - 44*u/5 - 2.
2*(4*u + 1)**2*(18*u - 5)/5
Find y, given that 2*y**2/9 - 74*y/9 - 172/3 = 0.
-6, 43
Find n such that -3*n**4 - 87*n**3 + 498*n**2 - 408*n = 0.
-34, 0, 1, 4
Factor -4*p**2 + 36*p - 80.
-4*(p - 5)*(p - 4)
Factor -6*d**2/5 - 1296*d/5 - 69984/5.
-6*(d + 108)**2/5
Factor 4*g**2/7 + 3800*g/7 + 902500/7.
4*(g + 475)**2/7
Factor 4*n**2 + 848*n + 8080.
4*(n + 10)*(n + 202)
Suppose 8*t**5 - 28*t**4 + 8*t**3 + 12*t**2 = 0. What is t?
-1/2, 0, 1, 3
Suppose -g**3 - g**2 = 0. What is g?
-1, 0
Determine y so that -45*y**5 + 2103*y**4 - 27144*y**3 + 57384*y**2 + 24816*y - 17424 = 0.
-2/3, 2/5, 3, 22
Determine r so that 2*r**2/11 + 140*r/11 + 2352/11 = 0.
-42, -28
Let 25*u**5 + 115*u**4 - 45*u**3 - 675*u**2 - 540*u = 0. Calculate u.
-3, -1, 0, 12/5
Let 5*k**5 - 72*k**4 - 72*k**3 + 430*k**2 - 381*k + 90 = 0. What is k?
-3, 2/5, 1, 15
What is k in 45*k**5 + 10*k**4 - 360*k**3 - 80*k**2 + 720*k + 160 = 0?
-2, -2/9, 2
Determine t, given that 49*t**3/2 + 7077*t**2 + 12105*t/2 + 1296 = 0.
-288, -3/7
Factor 4*x**5 - 88*x**4 + 688*x**3 - 2336*x**2 + 3584*x - 2048.
4*(x - 8)**2*(x - 2)**3
Solve -6*g**4/11 - 930*g**3/11 - 3318*g**2 - 3234*g = 0.
-77, -1, 0
Factor 2*u**4/15 + 2*u**3/5 - 416*u**2/15.
2*u**2*(u - 13)*(u + 16)/15
Factor 11*l**3/8 + 303*l**2/8 + 104*l + 135/2.
(l + 1)*(l + 2)*(11*l + 270)/8
Find q such that q**4 + 84*q**3 + 1764*q**2 = 0.
-42, 0
Let -2*u**5/7 + 2*u**4/7 + 12*u**3/7 - 8*u**2/7 - 16*u/7 = 0. Calculate u.
-2, -1, 0, 2
Factor q**2 + 158*q + 6241.
(q + 79)**2
Factor 4*v**2/9 + 160*v/9 + 304/9.
4*(v + 2)*(v + 38)/9
Suppose -z**3/4 - 163*z**2/2 - 26569*z/4 = 0. Calculate z.
-163, 0
Let -3*b**3/2 - 225*b**2/8 - 159*b/8 + 27/4 = 0. What is b?
-18, -1, 1/4
Find x such that -x**3/2 + 13*x**2 - 112*x + 320 = 0.
8, 10
Solve -4*b**4/9 - 16*b**3/3 + 52*b**2/3 + 568*b/9 - 224/3 = 0.
-14, -3, 1, 4
Factor o**2 - 135*o + 396.
(o - 132)*(o - 3)
Let -2*i**5/9 - 8*i**4/9 - 4*i**3/9 + 8*i**2/9 + 2*i/3 = 0. Calculate i.
-3, -1, 0, 1
What is y in 16*y**3 + 2040*y**2 + 66033*y + 64009 = 0?
-253/4, -1
Factor 2*x**2/9 - 50/9.
2*(x - 5)*(x + 5)/9
Suppose k**2/8 - 191*k/2 + 36481/2 = 0. Calculate k.
382
Factor 4*m**5 + 8*m**4 - 48*m**3 - 152*m**2 - 148*m - 48.
4*(m - 4)*(m + 1)**3*(m + 3)
Solve -5*q**3 - 55*q**2 - 180*q - 180 = 0 for q.
-6, -3, -2
Find u, given that 5*u**5 - 970*u**4 + 42925*u**3 + 408040*u**2 = 0.
-8, 0, 101
Factor o**2/3 + 658*o/3 - 659/3.
(o - 1)*(o + 659)/3
Solve 3*c**3/5 - 6*c**2 - 81*c/5 + 108/5 = 0 for c.
-3, 1, 12
Factor 2*s**3 + 34*s**2 + 54*s - 90.
2*(s - 1)*(s + 3)*(s + 15)
Suppose -4*y**5 - 16*y**4 + 56*y**3 + 144*y**2 - 180*y = 0. Calculate y.
-5, -3, 0, 1, 3
Determine i so that -3*i**2/2 + 81*i/2 - 39 = 0.
1, 26
Suppose 2*t**3 - 10*t**2 - 8*t + 40 = 0. What is t?
-2, 2, 5
Solve 3*z**3/5 - 18*z**2/5 - 3*z/5 + 18/5 = 0 for z.
-1, 1, 6
Factor 2*c**3 - 20*c**2 - 142*c - 120.
2*(c - 15)*(c + 1)*(c + 4)
Find f, given that -882*f**4/11 + 84*f**3 + 1494*f**2/11 + 360*f/11 + 24/11 = 0.
-2/3, -1/7, 2
Solve -3*j**2/5 + 42*j + 3237/5 = 0.
-13, 83
Find s such that -18*s**5 + 105*s**4 - 237*s**3 + 261*s**2 - 141*s + 30 = 0.
5/6, 1, 2
Solve -16*m**5/7 + 20*m**4/7 + 2*m**3 - 22*m**2/7 + 2*m/7 + 2/7 = 0.
-1, -1/4, 1/2, 1
Factor 1500625*f**5/2 - 1843625*f**4/2 + 186200*f**3 - 15260*f**2 + 568*f - 8.
(f - 1)*(35*f - 2)**4/2
Factor v**5 - 11*v**4 + 9*v**3 + 11*v**2 - 10*v.
v*(v - 10)*(v - 1)**2*(v + 1)
Solve -p**2/5 - 132*p/5 - 4356/5 = 0 for p.
-66
Solve 2*n**3/3 - 4*n**2/3 - 40*n/3 - 16 = 0 for n.
-2, 6
Find b, given that b**5/3 - b**4/3 - 2*b**3/3 = 0.
-1, 0, 2
Factor o**3 + 134*o**2 + 4620*o + 8712.
(o + 2)*(o + 66)**2
Find a, given that -12*a**4 + 5600*a**3 + 7484*a**2 + 1872*a = 0.
-1, -1/3, 0, 468
Factor d**2 - 612*d + 2432.
(d - 608)*(d - 4)
Find l such that l**3/4 - 17*l**2/2 + 65*l/4 - 8 = 0.
1, 32
Factor -l**2/6 + 47*l/6 - 15.
-(l - 45)*(l - 2)/6
Factor -2*p**4/5 - 8*p**3/5 + 6*p**2/5 + 36*p/5.
-2*p*(p - 2)*(p + 3)**2/5
Find b, given that 2*b**3 - 2*b**2 - 10*b - 6 = 0.
-1, 3
Determine u, given that 3*u**3 + 270*u**2 - 831*u + 558 = 0.
-93, 1, 2
Factor t**2/3 - 6*t.
t*(t - 18)/3
Factor y**3/4 + y**2 - y - 4.
(y - 2)*(y + 2)*(y + 4)/4
Factor -2*b**2/7 - 8*b + 186/7.
-2*(b - 3)*(b + 31)/7
Factor 3*d**2 - 12*d - 288.
3*(d - 12)*(d + 8)
Factor -3*k**4 + 162*k**3 - 1383*k