-165, 0
Factor 2*k**3 - 260*k**2 + 5624*k + 197136.
2*(k - 74)**2*(k + 18)
Solve -3*g**4 + 519*g**3 + 9*g**2 - 1563*g + 1038 = 0 for g.
-2, 1, 173
Solve 2*t**4/5 + 188*t**3/5 + 4602*t**2/5 + 8648*t/5 + 4232/5 = 0.
-46, -1
Let 2*t**2/7 - 23*t/7 + 11/7 = 0. Calculate t.
1/2, 11
Factor -2*w**5 + 16*w**4 - 24*w**3 - 4*w**2 + 26*w - 12.
-2*(w - 6)*(w - 1)**3*(w + 1)
Suppose -12*l**3 - 1072*l**2/9 - 2188*l/9 + 56/3 = 0. Calculate l.
-7, -3, 2/27
Suppose -2*m**2 - 6692*m - 5597858 = 0. What is m?
-1673
Factor 2*k**2/9 - 202*k + 7240/9.
2*(k - 905)*(k - 4)/9
Factor 2*q**2/9 - 1252*q/9 - 560.
2*(q - 630)*(q + 4)/9
Factor -243*u**5/4 + 621*u**4/4 - 417*u**3/4 - 45*u**2/4 + 18*u + 3.
-3*(u - 1)**3*(9*u + 2)**2/4
Factor -s**4/3 - 13*s**3/3 + 46*s**2/3 - 32*s/3.
-s*(s - 2)*(s - 1)*(s + 16)/3
Factor 3*b**4 - 28*b**3 + 28*b**2 + 32*b.
b*(b - 8)*(b - 2)*(3*b + 2)
Suppose h**3/9 - 88*h**2/3 + 1541*h/9 + 602/3 = 0. Calculate h.
-1, 7, 258
What is o in 4*o**5 + 536*o**4 - 1084*o**3 + 544*o**2 = 0?
-136, 0, 1
Factor 40*j**2 + 285*j + 35.
5*(j + 7)*(8*j + 1)
Let 3*u**3 + 108*u**2 - 228*u = 0. Calculate u.
-38, 0, 2
Determine m, given that -4*m**3 - 156*m**2 - 432*m = 0.
-36, -3, 0
Factor y**2 + 94*y - 192.
(y - 2)*(y + 96)
Let -14*y**5/19 + 54*y**4 + 15766*y**3/19 - 39714*y**2/19 + 28096*y/19 - 5160/19 = 0. Calculate y.
-15, 2/7, 1, 86
Solve 9*y**5 - 120*y**4 - 93*y**3 + 120*y**2 + 84*y = 0.
-1, -2/3, 0, 1, 14
Solve z**2/10 - 2738*z/5 + 3748322/5 = 0.
2738
Determine k so that -2*k**3/19 - 22*k**2/19 - 2*k - 18/19 = 0.
-9, -1
What is a in -a**2/3 + 19*a - 110/3 = 0?
2, 55
Factor 14*i**2 + 34990*i + 9996.
2*(i + 2499)*(7*i + 2)
Suppose -10*w**4/9 - 32*w**3/9 + 214*w**2/9 + 284*w/9 + 16/3 = 0. Calculate w.
-6, -1, -1/5, 4
Factor -x**2/2 - 161*x/2 + 163.
-(x - 2)*(x + 163)/2
Factor 2*r**4/9 + 2*r**3/9 - 2*r**2/3 - 2*r/9 + 4/9.
2*(r - 1)**2*(r + 1)*(r + 2)/9
Let -2*y**3 + 128*y**2 + 264*y = 0. Calculate y.
-2, 0, 66
Find b, given that 2*b**3 - 182*b**2 - 188*b + 368 = 0.
-2, 1, 92
Suppose 4520*u**2 - 1868*u + 24 = 0. What is u?
3/226, 2/5
Find o, given that -2*o**5/7 + 10*o**4/7 + 92*o**3/7 - 124*o**2/7 - 474*o/7 - 270/7 = 0.
-5, -1, 3, 9
Factor 2*q**4/3 - 52*q**3/9 + 128*q**2/9 - 64*q/9.
2*q*(q - 4)**2*(3*q - 2)/9
Factor -4*p**3 + 948*p**2 + 1908*p + 956.
-4*(p - 239)*(p + 1)**2
Solve b**3/6 + 2095*b**2/3 + 4389025*b/6 = 0.
-2095, 0
What is d in 46*d**2/3 + 976*d/3 + 70 = 0?
-21, -5/23
Suppose d**5 - 56*d**4 - 116*d**3 = 0. Calculate d.
-2, 0, 58
Factor -5*b**3/3 + 5*b**2.
-5*b**2*(b - 3)/3
Factor -5*l**2 + 1115*l - 2210.
-5*(l - 221)*(l - 2)
Factor -2*n**3/11 + 16*n**2/11 + 22*n + 224/11.
-2*(n - 16)*(n + 1)*(n + 7)/11
Determine a, given that -2*a**5 - 120*a**4 - 1914*a**3 - 3364*a**2 = 0.
-29, -2, 0
Factor 3*t**2 - 24*t - 60.
3*(t - 10)*(t + 2)
Factor -3*f**4 - 66*f**3 + 300*f**2 - 312*f.
-3*f*(f - 2)**2*(f + 26)
Find y such that -2*y**3/21 + 6*y**2/7 + 2*y + 22/21 = 0.
-1, 11
Factor -3*r**5 + 6*r**4 + 21*r**3 + 12*r**2.
-3*r**2*(r - 4)*(r + 1)**2
Determine a so that -12*a**4 - 1444*a**3 - 58080*a**2 - 787200*a - 256000 = 0.
-40, -1/3
Let 5*j**2 - 88120*j + 388256720 = 0. What is j?
8812
What is m in m**5/3 + 23*m**4/3 + 143*m**3/3 + 121*m**2/3 = 0?
-11, -1, 0
Factor 2*v**2 - 1074*v + 4264.
2*(v - 533)*(v - 4)
Factor 2*o**5 + 1272*o**4 + 269664*o**3 + 19056256*o**2.
2*o**2*(o + 212)**3
Find g, given that -g**2/5 + 599*g/5 = 0.
0, 599
Suppose -4*y**2 + 1496*y - 139876 = 0. What is y?
187
Let 3*a**2 + 57*a - 126 = 0. What is a?
-21, 2
Factor 25*q**2 + 20*q + 4.
(5*q + 2)**2
Suppose j**2 - 20*j + 51 = 0. Calculate j.
3, 17
Factor 2*x**4 + 18*x**3 + 30*x**2 - 50*x.
2*x*(x - 1)*(x + 5)**2
Suppose -2*c**3/7 - 34*c**2 - 100*c - 464/7 = 0. What is c?
-116, -2, -1
Factor h**5/8 + 2*h**4 + 3*h**3/2 - 243*h**2/4 - 1917*h/8 - 1053/4.
(h - 6)*(h + 3)**3*(h + 13)/8
Factor -3*s**3 + 78*s**2 + 3*s - 78.
-3*(s - 26)*(s - 1)*(s + 1)
Factor 4*g**4 - 188*g**3 + 2112*g**2 + 2304*g.
4*g*(g - 24)**2*(g + 1)
Suppose 3*f**2 - 1068*f + 2124 = 0. Calculate f.
2, 354
Factor o**5/3 - 2*o**4/3 - o**3 + 4*o**2/3 + 4*o/3.
o*(o - 2)**2*(o + 1)**2/3
Find i, given that -1664*i**3 + 1288*i**2 + 386*i - 10 = 0.
-1/4, 5/208, 1
Determine l, given that 5*l**4 + 80*l**3 + 395*l**2 + 420*l - 900 = 0.
-6, -5, 1
Find f such that -8*f**4 - 1050*f**3 - 34056*f**2 + 26136*f = 0.
-66, 0, 3/4
Suppose -x**2 + 309*x + 310 = 0. What is x?
-1, 310
Factor x**5 - 17*x**4 + 42*x**3.
x**3*(x - 14)*(x - 3)
Factor -y**3/3 - 2*y**2 + 5*y - 8/3.
-(y - 1)**2*(y + 8)/3
Factor 3*c**4 - 12*c**3 + 9*c**2 + 12*c - 12.
3*(c - 2)**2*(c - 1)*(c + 1)
Factor -5*p**2 + 65*p - 210.
-5*(p - 7)*(p - 6)
Factor -x**3/3 - 43*x**2/3 - 520*x/3 - 400.
-(x + 3)*(x + 20)**2/3
Factor -l**2/3 + 286*l/3 + 287/3.
-(l - 287)*(l + 1)/3
Let -t**2 - 13*t + 14 = 0. Calculate t.
-14, 1
Factor -2*y**5 + 16*y**4 - 44*y**3 + 48*y**2 - 18*y.
-2*y*(y - 3)**2*(y - 1)**2
Factor y**5 - 16*y**4 + 29*y**3 - 14*y**2.
y**2*(y - 14)*(y - 1)**2
What is t in 2*t**3 - 76*t**2 - 2*t + 76 = 0?
-1, 1, 38
Determine y so that 6*y**3 + 1502*y**2 + 94250*y + 31250 = 0.
-125, -1/3
Find s, given that s**2/5 + 16*s/5 - 17/5 = 0.
-17, 1
Factor 21*m**2 + 33060*m + 9444.
3*(m + 1574)*(7*m + 2)
Solve 15*y**3 + 171*y**2 + 486*y + 168 = 0 for y.
-7, -4, -2/5
Let -3*k**4 + 531*k**3 - 24273*k**2 + 68121*k = 0. What is k?
0, 3, 87
Solve 2*r**3 - 26*r**2 - 60*r = 0 for r.
-2, 0, 15
Let 11*r**2/3 - 7*r/3 = 0. What is r?
0, 7/11
Find n such that 24*n**5 + 55*n**4 + 56*n**3/3 - 16*n**2 = 0.
-4/3, 0, 3/8
Factor -2*j**3 + 684*j**2 + 690*j - 1372.
-2*(j - 343)*(j - 1)*(j + 2)
Factor 52*c**3 - 180*c**2 + 176*c - 48.
4*(c - 2)*(c - 1)*(13*c - 6)
Find a, given that -73*a**5/2 + 436*a**4 - 1290*a**3 - 72*a**2 = 0.
-4/73, 0, 6
Factor 5*x**3 - 47*x**2 - 30*x.
x*(x - 10)*(5*x + 3)
Factor -3*f**2 - 57*f.
-3*f*(f + 19)
Suppose -20*z**4 + 560*z**3 + 15*z**2 - 425*z + 140 = 0. What is z?
-1, 1/2, 28
Factor -4*w**3 - 108*w**2 - 672*w + 784.
-4*(w - 1)*(w + 14)**2
Factor z**3 + 10*z**2 + 33*z + 36.
(z + 3)**2*(z + 4)
Factor -h**2/3 + 17*h/3 + 20.
-(h - 20)*(h + 3)/3
Determine l, given that -2*l**5/7 - 10*l**4/7 + 108*l**3/7 - 248*l**2/7 + 176*l/7 = 0.
-11, 0, 2
Find p, given that 24*p**3 + 885*p**2 + 753*p - 108 = 0.
-36, -1, 1/8
Find v, given that 2*v**3/7 - 160*v**2/7 + 3200*v/7 = 0.
0, 40
Let 2*g**2 + 32*g - 34 = 0. Calculate g.
-17, 1
What is x in 5*x**2 - 30*x - 5400 = 0?
-30, 36
Find k, given that -3*k**4 + 15*k**3 + 84*k**2 - 96*k = 0.
-4, 0, 1, 8
Solve k**2/9 + 25*k/9 + 38/3 = 0.
-19, -6
What is i in -20*i**3 - 1165*i**2 - 1430*i - 285 = 0?
-57, -1, -1/4
Factor -2*s**5/3 - 6*s**4 - 18*s**3 - 18*s**2.
-2*s**2*(s + 3)**3/3
What is j in 4*j**5 + 80*j**4 + 240*j**3 - 1240*j**2 + 1420*j - 504 = 0?
-14, -9, 1
Let 125*x**5 + 800*x**4 + 1880*x**3 + 1920*x**2 + 720*x = 0. What is x?
-2, -6/5, 0
Suppose 2*o**2 + 796*o + 79202 = 0. What is o?
-199
Factor -2*d**2/7 - 2750*d/7 + 5508/7.
-2*(d - 2)*(d + 1377)/7
Solve -4*g**3 + 616*g**2 - 24320*g + 46208 = 0 for g.
2, 76
Factor -2*x**2 - 156*x - 154.
-2*(x + 1)*(x + 77)
Determine m, given that -5222420*m**4 - 15677480*m**3 - 10475505*m**2 - 20455*m - 10 = 0.
-2, -1, -1/1022
Factor 3*w**4/5 - 42*w**3/5 + 216*w**2/5 - 96*w + 384/5.
3*(w - 4)**3*(w - 2)/5
Factor 2*d**4 - 14*d**3 - 16*d**2.
2*d**2*(d - 8)*(d + 1)
Factor f**2/3 + 100*f/3 + 2500/3.
(f + 50)**2/3
Factor 6*i**3 - 52*i**2 - 210*i.
2*i*(i + 3)*(3*i - 35)
Determine x, given that -x**2 + 624*x + 625 = 0.
-1, 625
Factor -a**2 + 40*a - 400.
-(a - 20)**2
Suppose -45*a**5 - 10*a**4 + 135*a**3 + 120*a**2 + 20*a = 0. Calculate a.
-1, -2/9, 0, 2
Let -20*c**4/3 - 148*c**3/3 - 176*c**2/3 - 16*c = 0. Calculate c.
-6, -1, -2/5, 0
Suppose 2*i**4 - 4*i**3 - 8*i**2 + 16*i = 0. What is i?
-2, 0, 2
Factor -3*v**3/4 + 15*v**2 - 153*v/4.
-3*v*(v - 17)*(v - 3)/4
Factor -4*i**5 - 28*i**4 - 24*i**3.
-4*i**3*(i + 1)*(i + 6)
Let -2*g**4/9 - 26*g**3/9 - 92*g**2/9 - 8*g/3 + 16 = 0. Calculate g.
-6, -2, 1
Solve 35*b**5/4 + 5*b**4/4 - 65*b**3/4 - 5*b**2/4 + 15*b/2 = 0.
-1, 0, 6/7, 1
Solve -2*d**4/5 + 11*d**3/10 + 27*d**2/10 - 13*d/5 - 4/5 = 0 for d.
-2, -1/4, 1, 4
Factor 4*s**3/7 - 158*s**2/7 - 416*s/7 - 24.
2*(s - 42)*(s + 2)*(2*s + 1)/7
Determine p so that p**4/2 + 209*p**3/2 + 1298*p**2 + 4722*p + 3528 = 0.
-196, -6, -1
Suppose w**2