ate s.
-6, 125
Let u**5/5 - 4*u**4/5 - 27*u**3/5 - 38*u**2/5 - 16*u/5 = 0. What is u?
-2, -1, 0, 8
Suppose -33124*a**4 + 263536*a**3 + 309748*a**2 + 13232*a + 144 = 0. Calculate a.
-1, -2/91, 9
Find q such that -2*q**5/3 + 14*q**4/3 - 10*q**3 + 10*q**2/3 + 32*q/3 - 8 = 0.
-1, 1, 2, 3
Factor -5*i**2 + 500*i - 495.
-5*(i - 99)*(i - 1)
Find g, given that 4*g**5/5 + 8*g**4/5 - 12*g**3/5 - 16*g**2/5 + 16*g/5 = 0.
-2, 0, 1
Suppose 2*t**5 + 58*t**4 - 192*t**3 + 8*t**2 + 256*t = 0. Calculate t.
-32, -1, 0, 2
Determine g so that 2*g**3/21 - 188*g**2/21 - 128*g/7 = 0.
-2, 0, 96
What is f in 45*f**5 - 390*f**4 + 560*f**3 - 250*f**2 + 35*f = 0?
0, 1/3, 1, 7
Determine w so that -2*w**4/9 - 20*w**3/9 - 62*w**2/9 - 20*w/3 = 0.
-5, -3, -2, 0
Factor -5*p**2 + 650*p + 2680.
-5*(p - 134)*(p + 4)
Factor c**4/8 - 63*c**3/8 + 61*c**2/4.
c**2*(c - 61)*(c - 2)/8
Solve -3*j**2/7 + 12*j/7 = 0 for j.
0, 4
Determine k, given that 4*k**2/5 - 64*k/5 - 144/5 = 0.
-2, 18
Factor r**3 - 21*r**2 + 144*r - 324.
(r - 9)*(r - 6)**2
Solve -3*d**4 - 6*d**3 + 87*d**2 + 90*d = 0 for d.
-6, -1, 0, 5
Suppose 5*z**4 - 45*z**3 - 320*z**2 - 420*z = 0. Calculate z.
-3, -2, 0, 14
Factor -3*i**3 + 27*i**2 - 18*i - 48.
-3*(i - 8)*(i - 2)*(i + 1)
Determine l so that 28*l**4/5 + 256*l**3 - 396*l**2/5 - 256*l + 368/5 = 0.
-46, -1, 2/7, 1
Let -5*k**3 + 50*k**2 - 35*k - 90 = 0. What is k?
-1, 2, 9
Factor -3*b**3 - 18*b**2 - 24*b.
-3*b*(b + 2)*(b + 4)
Factor 2*c**5/3 + 52*c**4/3 + 280*c**3/3 - 784*c**2/3.
2*c**2*(c - 2)*(c + 14)**2/3
Determine o so that o**4 + 14*o**3 + 48*o**2 - 14*o - 49 = 0.
-7, -1, 1
Determine k so that 4*k**5 + 12*k**4 - 44*k**3 - 12*k**2 + 40*k = 0.
-5, -1, 0, 1, 2
Determine w, given that -w**4/3 - 158*w**3/3 - 6397*w**2/3 - 4108*w - 2028 = 0.
-78, -1
Determine o so that 8*o**4/5 - 14*o**3/5 - 12*o**2/5 + 14*o/5 + 4/5 = 0.
-1, -1/4, 1, 2
Let -3*u**5/4 + 93*u**4/4 - 243*u**3/4 - 2073*u**2/4 - 1515*u/2 - 324 = 0. What is u?
-2, -1, 8, 27
Factor -3*g**3/2 - 4545*g**2/2 - 2295225*g/2 - 386362875/2.
-3*(g + 505)**3/2
Determine s so that -2*s**4/9 - 32*s**3/9 - 28*s**2/9 + 32*s/9 + 10/3 = 0.
-15, -1, 1
Factor f**2/3 + 23*f/3 + 42.
(f + 9)*(f + 14)/3
Suppose -2*k**2 + 22*k + 24 = 0. What is k?
-1, 12
Determine k, given that k**3 + 392*k**2 + 38805*k + 76050 = 0.
-195, -2
Factor -f**2/4 + 2*f + 33/4.
-(f - 11)*(f + 3)/4
Find b, given that b**4/10 - 3*b**3/2 - 7*b**2/10 + 99*b/10 + 9 = 0.
-2, -1, 3, 15
Determine j so that 4*j**3 + 892*j**2 + 1772*j + 884 = 0.
-221, -1
Determine d so that 2*d**3/5 + 1524*d**2/5 + 387096*d/5 + 32774128/5 = 0.
-254
Let -c**4/2 - 9*c**3/2 - 15*c**2 - 22*c - 12 = 0. Calculate c.
-3, -2
What is m in 4*m**4 + 16*m**3 - 12*m**2 - 40*m + 32 = 0?
-4, -2, 1
Factor -41*i**2 + 80*i + 4.
-(i - 2)*(41*i + 2)
Factor t**3/3 - 8*t**2/3 - 3*t + 24.
(t - 8)*(t - 3)*(t + 3)/3
Factor 2*p**3/7 - 1422*p**2/7 + 337014*p/7 - 26624106/7.
2*(p - 237)**3/7
Factor f**4/7 - 76*f**3/7 - 85*f**2/7 + 604*f/7 + 132.
(f - 77)*(f - 3)*(f + 2)**2/7
Let 2*j**4/7 + 408*j**3/7 - 6*j**2/7 - 1228*j/7 - 816/7 = 0. Calculate j.
-204, -1, 2
Find k such that -4*k**3/5 - 16*k**2 - 80*k = 0.
-10, 0
Factor -4*x**3 + 768*x**2 - 10164*x + 34888.
-4*(x - 178)*(x - 7)**2
Factor 3*r**3 - 4488*r**2 + 1674015*r + 3366006.
3*(r - 749)**2*(r + 2)
Factor -12*h**3 + 116*h**2 - 152*h - 64.
-4*(h - 8)*(h - 2)*(3*h + 1)
Solve -4*k**3 + 256*k**2 - 3828*k - 8712 = 0.
-2, 33
Factor 2*g**3/5 - 42*g**2/5 - 432*g/5 - 928/5.
2*(g - 29)*(g + 4)**2/5
Factor 2*v**4/7 + 64*v**3/7 - 136*v**2/7.
2*v**2*(v - 2)*(v + 34)/7
Factor 35*l**2 - 591*l - 68.
(l - 17)*(35*l + 4)
Factor 8*u**2 + 348*u.
4*u*(2*u + 87)
Determine m, given that m**5/2 + 13*m**4/2 - 13*m**3 - 86*m**2 - 20*m + 112 = 0.
-14, -2, 1, 4
Let -2*d**4/13 - 10*d**3/13 + 178*d**2/13 - 30*d = 0. Calculate d.
-13, 0, 3, 5
Factor -2*w**4/13 + 516*w**3/13 + 518*w**2/13.
-2*w**2*(w - 259)*(w + 1)/13
Factor -2*f**2 - 166*f + 168.
-2*(f - 1)*(f + 84)
Factor -35*t**3 + 4365*t**2 - 3090*t - 1240.
-5*(t - 124)*(t - 1)*(7*t + 2)
Determine f, given that 5*f**3 - 12535*f**2 + 7862575*f - 7850045 = 0.
1, 1253
Factor -3*s**3 + 138*s**2 + 591*s + 450.
-3*(s - 50)*(s + 1)*(s + 3)
Determine z, given that -5*z**2 + 385*z + 2050 = 0.
-5, 82
Solve 9*q**5/8 + 5379*q**4/8 + 401403*q**3/4 - 136791*q**2/4 - 802815*q/8 + 268203/8 = 0.
-299, -1, 1/3, 1
Determine q so that 4*q**5 - 252*q**4 + 5192*q**3 - 37144*q**2 + 59700*q - 27500 = 0.
1, 11, 25
Suppose -g**2 + 594*g - 88209 = 0. Calculate g.
297
Factor 81*w**3/4 + 396*w**2 - 179*w + 20.
(w + 20)*(9*w - 2)**2/4
Factor o**3/7 - 138*o**2/7 + 4761*o/7.
o*(o - 69)**2/7
Factor q**2/4 + 63*q - 253/4.
(q - 1)*(q + 253)/4
Factor -3*j**2/7 + 222*j/7 - 120.
-3*(j - 70)*(j - 4)/7
Let 5*b**3 + 90*b**2 - 800*b - 1920 = 0. Calculate b.
-24, -2, 8
Solve 2*s**2/7 + 10284*s/7 + 13220082/7 = 0 for s.
-2571
Factor -3*s**3/5 - 84*s**2/5 - 663*s/5 - 1014/5.
-3*(s + 2)*(s + 13)**2/5
Factor y**4/3 + y**3/3 - 41*y**2/3 + 37*y - 24.
(y - 3)**2*(y - 1)*(y + 8)/3
Suppose -27*z**5 - 21*z**4 + 87*z**3 + 117*z**2 + 24*z - 12 = 0. Calculate z.
-1, 2/9, 2
Suppose -n**4/6 - 200*n**3/3 - 6798*n**2 - 26136*n = 0. What is n?
-198, -4, 0
Let 4*k**4/5 - 68*k**3 - 696*k**2/5 = 0. Calculate k.
-2, 0, 87
Suppose -36*y**4/7 - 92*y**3/7 + 244*y**2/7 + 92*y/7 - 208/7 = 0. What is y?
-4, -1, 1, 13/9
Solve 2*x**5/7 + 2*x**4/7 - 24*x**3/7 - 8*x**2 - 32*x/7 = 0 for x.
-2, -1, 0, 4
Find a such that 2*a**5 + 19*a**4/2 + 11*a**3/2 - 2*a**2 = 0.
-4, -1, 0, 1/4
Solve -10*s**3/3 - 52*s**2/3 - 70*s/3 - 4 = 0 for s.
-3, -2, -1/5
Factor c**3/6 - c**2/6 - 169*c/6 + 169/6.
(c - 13)*(c - 1)*(c + 13)/6
Solve u**2/5 - u/5 = 0 for u.
0, 1
Let 2*d**5/5 - 18*d**4/5 - 202*d**3/5 - 342*d**2/5 - 32*d = 0. What is d?
-5, -1, 0, 16
Factor -9*b**3 - 101*b**2 + 212*b + 52.
-(b - 2)*(b + 13)*(9*b + 2)
Solve -2*y**4 + 80*y**3 - 74*y**2 - 156*y = 0.
-1, 0, 2, 39
Factor 68*n**3 - 304*n**2 + 404*n - 168.
4*(n - 1)**2*(17*n - 42)
Factor 4*h**5 - 4*h**4 - 60*h**3 - 92*h**2 - 40*h.
4*h*(h - 5)*(h + 1)**2*(h + 2)
Find t, given that -2*t**5/9 + 26*t**4/9 + 410*t**3/9 + 1150*t**2/9 = 0.
-5, 0, 23
Factor 4*z**3 - 144*z**2 + 404*z - 264.
4*(z - 33)*(z - 2)*(z - 1)
Solve -3*z**4 + 3*z**3 + 9*z**2 - 3*z - 6 = 0.
-1, 1, 2
Find y, given that -3*y**2 + 93*y - 90 = 0.
1, 30
Determine b so that 10*b**4 + 84*b**3 + 202*b**2 + 168*b + 40 = 0.
-5, -2, -1, -2/5
Let 2*i**2/9 - 676*i/9 + 57122/9 = 0. What is i?
169
Factor -2*l**3/11 - 52*l**2/11.
-2*l**2*(l + 26)/11
Find c such that -c**3 - 13*c**2 + 134*c - 120 = 0.
-20, 1, 6
Factor -2*o**3 + 12*o**2 + 14*o.
-2*o*(o - 7)*(o + 1)
Solve 4*p**3 - 16*p**2 + 20*p - 8 = 0 for p.
1, 2
Determine g so that -3*g**3 - 57*g**2 - 192*g - 180 = 0.
-15, -2
Factor -k**2 - 4966*k - 6165289.
-(k + 2483)**2
Let -45*f**3 + 120*f**2 - 80*f = 0. What is f?
0, 4/3
Determine m so that -2*m**3 - 63*m**2/2 + 42*m - 17/2 = 0.
-17, 1/4, 1
Factor t**4/2 + 39*t**3 + 760*t**2 - 39*t - 1521/2.
(t - 1)*(t + 1)*(t + 39)**2/2
Factor 2*w**4/5 - 6*w**3/5 - 26*w**2/5 + 6*w.
2*w*(w - 5)*(w - 1)*(w + 3)/5
Determine c, given that -2*c**4 + 16*c**3 + 38*c**2 + 20*c = 0.
-1, 0, 10
Factor 4*t**3 - 1616*t**2 + 164820*t - 323208.
4*(t - 201)**2*(t - 2)
Determine a, given that 225*a**5/8 + 105*a**4 - 11*a**3/8 - 697*a**2/4 + 91*a/2 - 3 = 0.
-3, -2, 2/15, 1
Factor -2*o**2/3 - 8*o/3 + 64/3.
-2*(o - 4)*(o + 8)/3
Determine d so that -2*d**5/9 - 22*d**4/9 - 50*d**3/9 - 10*d**2/9 + 52*d/9 + 32/9 = 0.
-8, -2, -1, 1
Find w such that -26*w**5 - 24*w**4 + 78*w**3 + 20*w**2 - 48*w = 0.
-2, -12/13, 0, 1
Factor c**2 + 9*c + 20.
(c + 4)*(c + 5)
Solve 4*a**4/7 + 80*a**3/7 - 368*a**2/7 + 384*a/7 = 0.
-24, 0, 2
Factor r**3/5 - 3*r**2/5 - 16*r/5 - 12/5.
(r - 6)*(r + 1)*(r + 2)/5
Find l such that 10*l**5 + 36*l**4 + 34*l**3 - 8*l = 0.
-2, -1, 0, 2/5
Determine y, given that y**3/2 + 149*y**2/2 + 867*y/2 + 1287/2 = 0.
-143, -3
What is g in 2*g**4/5 - 746*g**3/5 + 2226*g**2/5 - 2222*g/5 + 148 = 0?
1, 370
Let 3*f**4 + 87*f**3 - 1101*f**2 + 2649*f - 1638 = 0. Calculate f.
-39, 1, 2, 7
What is v in 5*v**2 - 1160*v + 4560 = 0?
4, 228
Find j, given that 4*j**5/7 + 2*j**4/7 - 36*j**3/7 - 34*j**2/7 + 40*j/7 + 24/7 = 0.
-2, -1/2, 1, 3
Suppose 4*c**5/9 - 16*c**4/9 - 8*c**3/3 + 16*c**2/9 + 20*c/9 = 0. What is c?
-1, 0, 1, 5
Solve 2*m**2 + 684*m + 58482 = 0.
-171
