termine h, given that -405*h**5 + 2205*h**4 + 2320*h**3 - 20780*h**2 + 8800*h - 960 = 0.
-3, 2/9, 4
Solve 2*l**3/3 - 22*l**2 + 144*l + 648 = 0 for l.
-3, 18
Factor -2*t**4 + 282*t**3 + 858*t**2 + 862*t + 288.
-2*(t - 144)*(t + 1)**3
Find q, given that -5*q**5 + 360*q**4 + 2275*q**3 + 5010*q**2 + 4660*q + 1560 = 0.
-2, -1, 78
Determine x so that -2*x**2 - 94*x - 884 = 0.
-34, -13
Suppose w**2/4 - 4*w + 63/4 = 0. What is w?
7, 9
Factor -2*b**3 + 54*b**2 - 52*b.
-2*b*(b - 26)*(b - 1)
Determine c so that -75*c**3/4 - 60*c**2 + 273*c/4 + 507/2 = 0.
-13/5, 2
Factor -u**3/3 + 11*u**2/3 + 364*u/3 + 676/3.
-(u - 26)*(u + 2)*(u + 13)/3
Factor -2*g**5 - 136*g**4 + 564*g**3 - 856*g**2 + 574*g - 144.
-2*(g - 1)**4*(g + 72)
Factor 2*s**3/9 + 24*s**2 + 714*s + 3468.
2*(s + 6)*(s + 51)**2/9
Factor 5*f**4 - 605*f**3 - 1225*f**2 - 615*f.
5*f*(f - 123)*(f + 1)**2
Suppose 36*v**3/7 + 2512*v**2/7 + 6220*v - 1400 = 0. What is v?
-35, 2/9
Determine q so that -3*q**4 - 21*q**3 + 84*q**2 - 60*q = 0.
-10, 0, 1, 2
Suppose n**5 + 2*n**4 - 4*n**3 - 2*n**2 + 3*n = 0. Calculate n.
-3, -1, 0, 1
Factor -3*u**2/2 + 33*u/2 + 39.
-3*(u - 13)*(u + 2)/2
Determine l, given that -15*l**5 - 365*l**4 - 1070*l**3 - 380*l**2 + 840*l = 0.
-21, -2, 0, 2/3
Solve -4*c**3 + 2552*c**2 - 5092*c + 2544 = 0.
1, 636
Factor f**2/2 + 6*f + 16.
(f + 4)*(f + 8)/2
Suppose -p**5 - 26*p**4 - 150*p**3 - 68*p**2 + 695*p - 450 = 0. Calculate p.
-18, -5, 1
Determine y, given that -27*y**5 + 264*y**4 + 87*y**3 - 264*y**2 - 60*y = 0.
-1, -2/9, 0, 1, 10
Factor -4*s**4 + 8*s**3 + 28*s**2 + 16*s.
-4*s*(s - 4)*(s + 1)**2
Factor 2*h**2/11 + 30*h/11 - 1088/11.
2*(h - 17)*(h + 32)/11
Factor -2*w**5/3 - 148*w**4/9 + 50*w**3/9.
-2*w**3*(w + 25)*(3*w - 1)/9
Factor d**5/3 + 4*d**4/3 - 4*d**3/3 - 16*d**2/3.
d**2*(d - 2)*(d + 2)*(d + 4)/3
Solve -v**2 - 33*v - 90 = 0 for v.
-30, -3
Let 20*x**5 - 600*x**4 + 4485*x**3 + 445*x**2 - 3225*x - 1125 = 0. Calculate x.
-1/2, 1, 15
What is b in 3*b**5/2 - 45*b**4/2 - 3*b**3/2 + 45*b**2/2 = 0?
-1, 0, 1, 15
Determine h so that h**4 + 20*h**3 + 14*h**2 - 92*h + 57 = 0.
-19, -3, 1
Factor -y**3 + 10*y**2 + 11*y.
-y*(y - 11)*(y + 1)
Factor -3*j**2/8 + 101*j/8 - 33/4.
-(j - 33)*(3*j - 2)/8
Factor -f**4/3 - 4*f**3/3 + f**2 + 10*f/3 - 8/3.
-(f - 1)**2*(f + 2)*(f + 4)/3
Determine u, given that 2*u**5/3 + 10*u**4/3 + 4*u**3/3 - 28*u**2/3 - 2*u + 6 = 0.
-3, -1, 1
Determine c, given that -6*c**4 + 525*c**3 - 12357*c**2 + 37800*c - 15876 = 0.
1/2, 3, 42
Suppose 2*g**2 + 940*g + 2802 = 0. What is g?
-467, -3
Let 2*c**4 - 8*c**3 + 6*c**2 = 0. Calculate c.
0, 1, 3
Determine i so that 8*i**5 + 429*i**4 + 1063*i**3/4 + 159*i**2/4 = 0.
-53, -3/8, -1/4, 0
What is b in -2*b**5/13 - 4*b**4/13 - 2*b**3/13 = 0?
-1, 0
Factor -5*h**3 + 80*h**2 - 75*h.
-5*h*(h - 15)*(h - 1)
Factor -s**2/4 + 78*s + 157.
-(s - 314)*(s + 2)/4
Determine v, given that -4*v**2 - 712*v - 1408 = 0.
-176, -2
What is c in 3*c**3 + 18*c**2 - 111*c + 90 = 0?
-10, 1, 3
Suppose 3*b**4 + 126*b**3 + 675*b**2 + 984*b + 432 = 0. What is b?
-36, -4, -1
Suppose -12*q**4 - 333*q**3 - 501*q**2 + 1170*q = 0. What is q?
-26, -3, 0, 5/4
Solve 2*n**4 - 648*n**3/7 + 170*n**2/7 + 648*n/7 - 184/7 = 0 for n.
-1, 2/7, 1, 46
Suppose 2*i**2/5 + 32*i/5 + 6 = 0. Calculate i.
-15, -1
Determine i, given that -2*i**5/7 + 2*i**4 - 36*i**3/7 + 40*i**2/7 - 16*i/7 = 0.
0, 1, 2
Let -i**3/4 - 19*i**2/4 - 21*i = 0. What is i?
-12, -7, 0
Suppose -3*y**5 + 6*y**4 = 0. Calculate y.
0, 2
Factor 3*k**2 + 84*k + 225.
3*(k + 3)*(k + 25)
Factor o**3 + 21*o**2 + 20*o.
o*(o + 1)*(o + 20)
Let -2*c**3/21 - 2490*c**2/7 - 3100050*c/7 - 1286520750/7 = 0. What is c?
-1245
Factor 4*y**3 - 36*y**2 - 196*y - 156.
4*(y - 13)*(y + 1)*(y + 3)
Suppose 3*n**3/4 - 18*n**2 - 351*n/4 + 105 = 0. Calculate n.
-5, 1, 28
Factor 2*o**2/13 + 62*o/13 + 116/13.
2*(o + 2)*(o + 29)/13
Suppose -35*m**5 - 290*m**4 - 395*m**3 + 1240*m**2 + 1780*m + 400 = 0. What is m?
-5, -4, -1, -2/7, 2
Determine h, given that 3*h**3 - 9*h**2 + 12 = 0.
-1, 2
Determine h, given that 5*h**4 + 10*h**3 - 80*h**2 - 160*h = 0.
-4, -2, 0, 4
Suppose 4*w**2 + 84*w = 0. What is w?
-21, 0
Suppose 7*g**5/5 - 32*g**4/5 - g**3/5 + 62*g**2/5 + 24*g/5 = 0. Calculate g.
-1, -3/7, 0, 2, 4
Factor 2*k**2 + 96*k + 1150.
2*(k + 23)*(k + 25)
Find p, given that p**2 - 1124*p + 315844 = 0.
562
Let f**5/4 + 17*f**4/2 + 115*f**3/4 - 75*f**2/2 = 0. What is f?
-30, -5, 0, 1
Find a such that -5*a**4 + 1560*a**3 - 121680*a**2 = 0.
0, 156
What is x in -4*x**3 + 628*x**2 - 624*x = 0?
0, 1, 156
Let 3*d**2/4 - 9*d/2 = 0. What is d?
0, 6
Factor -y**2/4 - 4*y + 17/4.
-(y - 1)*(y + 17)/4
Factor i**3 - 135*i**2/7 - 802*i/7 + 240/7.
(i - 24)*(i + 5)*(7*i - 2)/7
Suppose 5*u**2 - 305*u - 310 = 0. What is u?
-1, 62
Factor -4*r**4 + 8*r**3 + 4*r**2 - 8*r.
-4*r*(r - 2)*(r - 1)*(r + 1)
Find q such that -2*q**2/11 - 64*q/11 = 0.
-32, 0
Factor -6*n**3 + 165*n**2 + 2658*n + 1287.
-3*(n - 39)*(n + 11)*(2*n + 1)
Suppose -97*w**3/3 - 191*w**2/3 + 2*w = 0. Calculate w.
-2, 0, 3/97
Factor -d**4/6 - d**3/2 + d**2/2 + 11*d/6 + 1.
-(d - 2)*(d + 1)**2*(d + 3)/6
Factor 2*f**3/13 + 44*f**2 + 41464*f/13 + 80656/13.
2*(f + 2)*(f + 142)**2/13
Suppose 4*f**4 + 380*f**3 + 11136*f**2 + 90880*f - 102400 = 0. Calculate f.
-40, -16, 1
Determine h so that 3*h**5 + 24*h**4 + 33*h**3 - 24*h**2 - 36*h = 0.
-6, -2, -1, 0, 1
Find a, given that -2*a**4 + 122*a**3/3 - 8*a**2 - 104*a - 160/3 = 0.
-1, -2/3, 2, 20
Solve 2*o**2/11 - 478*o/11 + 948/11 = 0 for o.
2, 237
Solve 35*j**5 - 10*j**4 - 420*j**3 - 440*j**2 + 160*j = 0 for j.
-2, 0, 2/7, 4
Factor -3*f**2 - 36*f + 39.
-3*(f - 1)*(f + 13)
Factor -3*r**2/8 + 57*r/8 - 135/4.
-3*(r - 10)*(r - 9)/8
Factor -45*j**4 - 42*j**3 + 3*j**2.
-3*j**2*(j + 1)*(15*j - 1)
Factor 3*s**2 + 126*s + 555.
3*(s + 5)*(s + 37)
Solve 2*w**4 - 624*w**3 + 73008*w**2 - 3796416*w + 74030112 = 0.
78
Factor -p**2/5 + 4*p/5 + 12/5.
-(p - 6)*(p + 2)/5
Factor 12*p**3 - 81*p**2 - 21*p.
3*p*(p - 7)*(4*p + 1)
Factor 4*g**3 - 304*g**2 + 1444*g - 1704.
4*(g - 71)*(g - 3)*(g - 2)
Determine i, given that 2*i**3/5 - 402*i**2/5 + 19998*i/5 + 20402/5 = 0.
-1, 101
Suppose 3*w**3/7 + 24*w**2/7 - 27*w/7 = 0. Calculate w.
-9, 0, 1
Factor 3*x**3 + 51*x**2.
3*x**2*(x + 17)
What is h in -h**2/6 - 356*h/3 - 710/3 = 0?
-710, -2
Factor 4*m**3 + 28*m**2 + 32*m - 64.
4*(m - 1)*(m + 4)**2
Determine c, given that 3*c**4/5 - 48*c**3/5 + 72*c**2/5 + 192*c + 240 = 0.
-2, 10
Factor 3*y**2 + 432*y + 15552.
3*(y + 72)**2
Factor g**2/6 - 284*g/3 + 40328/3.
(g - 284)**2/6
Solve -b**3 + 341*b**2/4 - 421*b/4 + 21 = 0 for b.
1/4, 1, 84
Factor 45*y**3 - 1749*y**2 + 4626*y + 648.
3*(y - 36)*(y - 3)*(15*y + 2)
Factor 2*z**2 - 306*z + 304.
2*(z - 152)*(z - 1)
Factor -3*p**3 + 24*p**2 - 60*p + 48.
-3*(p - 4)*(p - 2)**2
Factor -f**2/2 - 7*f - 12.
-(f + 2)*(f + 12)/2
Suppose -3*t**5 - 17*t**4 + 147*t**3 - 299*t**2 + 216*t - 44 = 0. Calculate t.
-11, 1/3, 1, 2
Find x, given that 4*x**4 + 100*x**3 - 1400*x**2 = 0.
-35, 0, 10
Suppose -3*d**2/2 - 17361*d - 100468107/2 = 0. Calculate d.
-5787
Factor -3*y**4 + 324*y**3 - 9948*y**2 + 64800*y - 120000.
-3*(y - 50)**2*(y - 4)**2
Factor j**4/3 + 3*j**3 + 25*j**2/3 + 9*j + 10/3.
(j + 1)**2*(j + 2)*(j + 5)/3
Factor 4*o**4/7 - 136*o**3/7 + 1012*o**2/7.
4*o**2*(o - 23)*(o - 11)/7
Factor -2*q**3 - 144*q**2 - 2442*q + 5476.
-2*(q - 2)*(q + 37)**2
Determine n so that -2*n**4/3 + 242*n**3/3 - 2030*n**2 - 78650*n/3 + 84500/3 = 0.
-10, 1, 65
Factor 21*k**4 + 3636*k**3 - 7335*k**2 + 3678*k.
3*k*(k - 1)**2*(7*k + 1226)
Let 4*x**2 - 4 = 0. What is x?
-1, 1
Factor 2*d**3/9 - 5*d**2/9 + 2*d/9.
d*(d - 2)*(2*d - 1)/9
Factor -t**2 + 44*t + 245.
-(t - 49)*(t + 5)
Suppose j**4/4 - 5*j**3/2 + 3*j**2 + 10*j - 16 = 0. Calculate j.
-2, 2, 8
Factor 4*p**2 + 28*p + 48.
4*(p + 3)*(p + 4)
Factor g**5/5 + 87*g**4/5 + 1758*g**3/5 - 5806*g**2/5 + 1197*g - 405.
(g - 1)**3*(g + 45)**2/5
Factor -38*p**4 + 80*p**3 - 46*p**2 + 4*p.
-2*p*(p - 1)**2*(19*p - 2)
Suppose 3*g**5 - 234*g**4 + 4062*g**3 + 19908*g**2 + 6519*g - 30258 = 0. Calculate g.
-3, -2, 1, 41
What is j in -20*j**4 + 312*j**3 - 1668*j**2 + 3488*j - 2112 = 0?
1, 4, 33/5
Determine m so that -5*m**5 - 2280*m**4 + 6880*m**3 - 2310*m**2 - 6875*m + 4590 = 0.
-459, -1, 1, 2
Factor -5*x**2 + 14250*x - 14245.
-5*(x - 2849)*(x - 1)
Factor -3*k**2 - 384*k.
-3*k*(k