u**2/13 + 148*u + 35594.
2*(u + 481)**2/13
Determine z so that z**5/5 - 2*z**4/5 - 9*z**3/5 + 18*z**2/5 = 0.
-3, 0, 2, 3
Determine f, given that -f**4 - 30*f**3 + 728*f**2 + 23520*f + 43904 = 0.
-28, -2, 28
Find h such that -h**4/3 - 193*h**3/3 + 131*h**2 + 195*h = 0.
-195, -1, 0, 3
What is c in -4*c**3 - 660*c**2 + 1332*c - 668 = 0?
-167, 1
Let u**2/4 - 45*u/2 + 2025/4 = 0. What is u?
45
Suppose 172*n**2 - 180*n + 8 = 0. Calculate n.
2/43, 1
Solve 3*o**3 - 12*o**2 - 36*o = 0 for o.
-2, 0, 6
Suppose s**4/2 - 27*s**3/4 + 81*s**2/4 + 91*s/4 - 147/4 = 0. Calculate s.
-3/2, 1, 7
Determine p so that 845*p**5 + 520*p**4 - 6485*p**3 + 1100*p**2 + 7260*p = 0.
-3, -1, 0, 22/13
Find h such that h**5 - 168*h**4 + 6885*h**3 + 14450*h**2 = 0.
-2, 0, 85
Factor -20*y**3 - 65*y**2 - 20*y + 60.
-5*(y + 2)**2*(4*y - 3)
Factor 3*w**3/7 - 444*w**2/7 - 897*w/7 - 450/7.
3*(w - 150)*(w + 1)**2/7
What is c in -3*c**5 + 15*c**4 - 21*c**3 - 3*c**2 + 24*c - 12 = 0?
-1, 1, 2
Suppose -h**3/6 - 148*h**2/3 + 298*h/3 = 0. Calculate h.
-298, 0, 2
Factor 3042*w**5 - 9750*w**4 + 11030*w**3 - 5010*w**2 + 720*w - 32.
2*(w - 1)**3*(39*w - 4)**2
Factor -3*o**3 - 1305*o**2 - 143856*o - 419904.
-3*(o + 3)*(o + 216)**2
Factor -3*n**2/7 + 5631*n/7 - 804.
-3*(n - 1876)*(n - 1)/7
Determine v so that 20*v**3/19 - 518*v**2/19 - 52*v/19 = 0.
-1/10, 0, 26
Factor g**2/4 - 131*g/2 + 261/4.
(g - 261)*(g - 1)/4
Suppose 6*a**4 - 27*a**3 + 42*a**2 - 27*a + 6 = 0. What is a?
1/2, 1, 2
Suppose -4*f**2/9 - 34*f/3 + 52/9 = 0. Calculate f.
-26, 1/2
Factor 5*q**3/4 + 15*q**2/4 - 45*q/2.
5*q*(q - 3)*(q + 6)/4
Let -2*a**2/3 + 17*a - 25/3 = 0. What is a?
1/2, 25
Suppose 372*q**4/5 + 1264*q**3/5 + 576*q**2/5 - 192*q - 64/5 = 0. Calculate q.
-2, -2/31, 2/3
Solve 4*l**2/3 - 296*l/3 + 192 = 0 for l.
2, 72
Factor -k**2/6 - 5*k/6.
-k*(k + 5)/6
Let v**2/2 + 19*v/2 + 30 = 0. Calculate v.
-15, -4
Factor f**4 - 10*f**3 - 37*f**2 - 26*f.
f*(f - 13)*(f + 1)*(f + 2)
Factor 2*u**5/13 + 186*u**4/13 + 5766*u**3/13 + 59582*u**2/13.
2*u**2*(u + 31)**3/13
Solve -5*v**4 + 585*v**3/4 + 455*v**2/4 - 75*v/2 = 0 for v.
-1, 0, 1/4, 30
Factor -40*l**2 + 10*l + 5.
-5*(2*l - 1)*(4*l + 1)
Suppose 2*h**5 - 18*h**3 - 8*h**2 + 24*h = 0. What is h?
-2, 0, 1, 3
Solve p**3/5 - 28*p**2 + 413*p/5 - 274/5 = 0.
1, 2, 137
Solve -22*f**2/5 + 34*f/5 - 12/5 = 0.
6/11, 1
Factor 3*f**2 + 111*f + 630.
3*(f + 7)*(f + 30)
Factor 21*d**2/4 - 1185*d/4 - 171.
3*(d - 57)*(7*d + 4)/4
Find k such that -39*k**3 + 157*k**2 - 121*k + 3 = 0.
1/39, 1, 3
Find k such that 2*k**5/11 - 6*k**4/11 - 142*k**3/11 + 126*k**2/11 + 2660*k/11 + 2400/11 = 0.
-5, -1, 6, 8
Solve n**3 + 20*n**2 - n - 20 = 0.
-20, -1, 1
Determine o so that -4*o**4/17 - 2*o**3/17 + 10*o**2/17 - 4*o/17 = 0.
-2, 0, 1/2, 1
Factor 4*n**2/5 - 208*n/5 + 80.
4*(n - 50)*(n - 2)/5
Let o**2 + 6*o + 8 = 0. Calculate o.
-4, -2
Suppose -25*a**4 - 140*a**3 + 285*a**2 + 260*a - 140 = 0. Calculate a.
-7, -1, 2/5, 2
Determine c, given that c**4 + 3073*c**3 + 3145725*c**2 + 1070586875*c - 2153781250 = 0.
-1025, 2
Determine r so that -12*r**4 + 55*r**3 - 65*r**2 + 25*r - 3 = 0.
1/4, 1/3, 1, 3
Solve 3*q**5/5 - 216*q**4/5 + 4281*q**3/5 - 13656*q**2/5 - 4284*q/5 + 13872/5 = 0 for q.
-1, 1, 4, 34
Determine u, given that -137*u**2 - 270*u + 8 = 0.
-2, 4/137
Let -5*m**5 + 295*m**4 + 930*m**3 = 0. Calculate m.
-3, 0, 62
Factor -3*n**2 - 8856*n - 6535728.
-3*(n + 1476)**2
Solve -2*k**2/11 + 270*k/11 - 268/11 = 0.
1, 134
Solve 2*x**2 - 326*x - 1680 = 0.
-5, 168
Factor 8*p**3/11 - 50*p**2/11 + 2*p/11 + 60/11.
2*(p - 6)*(p + 1)*(4*p - 5)/11
Find v such that -v**3 - 9*v**2 + 21*v - 11 = 0.
-11, 1
Suppose -2*z**2/9 + 2*z/3 = 0. What is z?
0, 3
Factor 4*r**3 - 104*r**2 - 236*r + 336.
4*(r - 28)*(r - 1)*(r + 3)
Determine v so that 3*v**2 - 15*v = 0.
0, 5
Factor -2*t**2 + 1092*t - 2176.
-2*(t - 544)*(t - 2)
Factor q**4/6 - 29*q**3/6 + 64*q**2/3 - 98*q/3 + 16.
(q - 24)*(q - 2)**2*(q - 1)/6
Determine x so that -3*x**2 - 114*x - 111 = 0.
-37, -1
Find p such that -5*p**3 + 125*p**2 - 120*p = 0.
0, 1, 24
Let -j**5 + 83*j**4 - 1959*j**3 + 8825*j**2 + 23864*j + 12996 = 0. Calculate j.
-1, 9, 38
Let 2*x**4 - 44*x**3 + 40*x**2 + 44*x - 42 = 0. Calculate x.
-1, 1, 21
Factor 3*y**3/5 + 27*y**2/5 - 27*y/5 - 243/5.
3*(y - 3)*(y + 3)*(y + 9)/5
Factor -o**5/3 + o**4 - o**3 + o**2/3.
-o**2*(o - 1)**3/3
Solve 12*p**2 - 6735*p + 1683 = 0 for p.
1/4, 561
Let o**3 + 628*o**2/7 - 180*o/7 = 0. Calculate o.
-90, 0, 2/7
Let 4*l**2 - 44*l = 0. Calculate l.
0, 11
Factor -j**3/2 - 39*j**2/2.
-j**2*(j + 39)/2
Solve 5*r**4 - 15*r**3 - 540*r**2 + 3780*r - 6480 = 0.
-12, 3, 6
Factor -3*o**2/2 - 204*o - 405/2.
-3*(o + 1)*(o + 135)/2
Let g**4/3 - 5*g**3/3 + 2*g**2 + 4*g/3 - 8/3 = 0. Calculate g.
-1, 2
Determine c, given that 2*c**2/9 - 64*c/3 + 512 = 0.
48
Suppose -3*f**5/2 + 28*f**4/3 - 20*f**3 + 16*f**2 - 8*f/3 = 0. Calculate f.
0, 2/9, 2
Factor 2*k**2/7 + 18*k/7 - 20/7.
2*(k - 1)*(k + 10)/7
Factor 2*i**3 + 4*i**2 - 8*i - 16.
2*(i - 2)*(i + 2)**2
Solve -4*i**4 + 80*i**3 + 384*i**2 = 0.
-4, 0, 24
Factor u**3/2 + 3*u**2 - 19*u/2 - 12.
(u - 3)*(u + 1)*(u + 8)/2
Factor p**4/4 + p**3/2 - 2*p**2 - 9*p/2 - 9/4.
(p - 3)*(p + 1)**2*(p + 3)/4
Suppose -9*k**4/5 - 69*k**3/5 - 97*k**2/5 - 43*k/5 - 6/5 = 0. Calculate k.
-6, -1, -1/3
Suppose 2*f**3/7 + 30*f**2/7 - 192*f/7 + 160/7 = 0. What is f?
-20, 1, 4
Factor 3*d**2/5 + 1161*d/5 + 4596/5.
3*(d + 4)*(d + 383)/5
Solve -h**4/7 - 23*h**3/7 + 78*h**2/7 - 4*h/7 - 104/7 = 0 for h.
-26, -1, 2
Suppose -l**2 + 2*l + 24 = 0. Calculate l.
-4, 6
Factor b**4/6 + 5*b**3/3 - 8*b**2 - 61*b/3 - 65/6.
(b - 5)*(b + 1)**2*(b + 13)/6
Find j such that 2*j**2/9 + 20*j/9 + 16/3 = 0.
-6, -4
Factor 2*t**3/13 + 42*t**2/13 + 70*t/13 - 114/13.
2*(t - 1)*(t + 3)*(t + 19)/13
Solve -y**2/3 + 13*y/3 - 4 = 0.
1, 12
Solve 2*b**2/5 + 892*b + 497290 = 0 for b.
-1115
Factor m**2/6 - 5*m/6 - 7/3.
(m - 7)*(m + 2)/6
Let -3*q**4 + 9*q**3 + 15*q**2 - 9*q - 12 = 0. Calculate q.
-1, 1, 4
Factor -2*n**2/7 - 16*n/7 - 24/7.
-2*(n + 2)*(n + 6)/7
Factor -3*s**2/7 + 4950*s/7 - 2041875/7.
-3*(s - 825)**2/7
Factor f**3 + 54*f**2 - f - 54.
(f - 1)*(f + 1)*(f + 54)
Determine v so that 5*v**2 - 38910*v + 75699405 = 0.
3891
Determine a, given that 58*a**5/9 - 6*a**4 - 62*a**3/9 + 6*a**2 + 4*a/9 = 0.
-1, -2/29, 0, 1
Factor -125*t**5 - 225*t**4 - 120*t**3 - 20*t**2.
-5*t**2*(t + 1)*(5*t + 2)**2
Suppose x**3/5 + 17*x**2/5 + 91*x/5 + 147/5 = 0. Calculate x.
-7, -3
Find o, given that -10*o**4/9 + 298*o**3/3 + 2384*o**2/9 + 248*o/3 - 736/9 = 0.
-2, -1, 2/5, 92
Determine i so that -3*i**3 - 6*i**2 + 15*i + 18 = 0.
-3, -1, 2
Factor 643107*t**2/5 + 33336*t/5 + 432/5.
3*(463*t + 12)**2/5
Factor -46*u**2 - 732*u + 64.
-2*(u + 16)*(23*u - 2)
Let -4*q**5 + 7*q**4 + 6*q**3 - 7*q**2 - 2*q = 0. What is q?
-1, -1/4, 0, 1, 2
Factor -3*w**4 - 30*w**3 - 75*w**2.
-3*w**2*(w + 5)**2
Let -5*x**2 + 4110*x - 844605 = 0. Calculate x.
411
Suppose q**3 + 8*q**2 + 21*q + 18 = 0. Calculate q.
-3, -2
Find v, given that 20*v**2 + 228*v - 144 = 0.
-12, 3/5
Find g such that -9*g**5 - 6*g**4 + 66*g**3 + 96*g**2 + 15*g - 18 = 0.
-2, -1, 1/3, 3
Find d such that -3*d**3 - 402*d**2 - 13056*d + 27744 = 0.
-68, 2
Solve -7500*l**2 - 900*l - 27 = 0.
-3/50
Determine y, given that 4*y**4 + 84*y**3 + 540*y**2 + 1404*y + 1296 = 0.
-12, -3
What is c in c**4 + 5*c**3 - 8*c**2 - 12*c = 0?
-6, -1, 0, 2
Factor -5*f**3/3 + 8815*f**2 - 15540845*f + 27398509735/3.
-5*(f - 1763)**3/3
Suppose -3*b**4 - 45*b**3/4 - 9*b**2 + 3*b = 0. What is b?
-2, 0, 1/4
Let 2*y**4/3 - 10612*y**3/3 + 4692272*y**2 + 10612*y/3 - 14076818/3 = 0. What is y?
-1, 1, 2653
What is h in -3*h**2 - 144*h - 960 = 0?
-40, -8
Factor -2*d**2/11 - 3160*d/11 - 1248200/11.
-2*(d + 790)**2/11
Factor 3*i**2/5 - 216*i/5 + 3456/5.
3*(i - 48)*(i - 24)/5
Factor -10*h**3 - 68*h**2 + 98*h + 156.
-2*(h - 2)*(h + 1)*(5*h + 39)
Factor -3*g**2/2 - 561*g/2 + 282.
-3*(g - 1)*(g + 188)/2
Factor -2*v**2/7 + 32*v/7 - 120/7.
-2*(v - 10)*(v - 6)/7
Determine u so that -2*u**2/5 - 188*u/5 + 38 = 0.
-95, 1
What is y in -3*y**3/2 - 9*y**2 + 3*y/2 + 9 = 0?
-6, -1, 1
Solve 3*q**2 + 30*q + 63 = 0.
-7, -3
Factor -5*p**3 - 260*p**2 - 685*p + 2450.
-5*(p - 2)*(p + 5)*(p + 49)
Factor 2*d**3/7 - 3250*d**2/7 - 3252*d/7.
2*d*(d - 1626)*(d + 1)/7
Let -13*v**2/6 - 7*v = 0. Calculate v.
-42/13, 0
Factor