177*m**2/2 + 87*m = 0.
-58, -1, 0
What is j in 2*j**5 - 39*j**4 + 89*j**3 - 69*j**2 + 17*j = 0?
0, 1/2, 1, 17
Factor 28*m**2 + 110*m - 8.
2*(m + 4)*(14*m - 1)
Factor w**3/2 + w**2 - w/2 - 1.
(w - 1)*(w + 1)*(w + 2)/2
Factor 3*p**2/4 + 367*p/4 + 61/2.
(p + 122)*(3*p + 1)/4
Solve -8*q**3/7 + 72*q**2 + 510*q/7 + 128/7 = 0.
-1/2, 64
Factor -35*r**3 + 8675*r**2 - 7405*r - 1235.
-5*(r - 247)*(r - 1)*(7*r + 1)
Let -98*w**3 + 532*w**2 - 960*w + 576 = 0. What is w?
12/7, 2
Factor -h**4 + 3*h**3 + h**2 - 3*h.
-h*(h - 3)*(h - 1)*(h + 1)
Suppose 3*g**4 - 93*g**3 - 9*g**2 + 285*g - 186 = 0. What is g?
-2, 1, 31
Find g, given that -434*g**3/9 - 48*g**2 + 2*g/9 = 0.
-1, 0, 1/217
What is c in 2*c**3 - 2828*c**2 + 999698*c = 0?
0, 707
Find h such that 5*h**3 - 10*h**2 = 0.
0, 2
Factor -o**4/7 - 4*o**3/7 + o**2/7 + 4*o/7.
-o*(o - 1)*(o + 1)*(o + 4)/7
Factor -2*f**4 + 42*f**3 - 296*f**2 + 768*f - 512.
-2*(f - 8)**2*(f - 4)*(f - 1)
Factor 5*l**5 + 95*l**4 + 255*l**3 + 245*l**2 + 80*l.
5*l*(l + 1)**3*(l + 16)
Factor -k**5/4 - 3*k**4/4 + 3*k**3/2 + 5*k**2/2 - 21*k/4 + 9/4.
-(k - 1)**3*(k + 3)**2/4
Factor -2*j**2/5 - 38*j/5.
-2*j*(j + 19)/5
Determine m, given that -4*m**4 + 172*m**3 - 1760*m**2 - 1936*m = 0.
-1, 0, 22
Determine a, given that 5*a**4/2 - 105*a**3/2 - 55*a**2 = 0.
-1, 0, 22
Factor -x**3 - 9*x**2 + 34*x - 24.
-(x - 2)*(x - 1)*(x + 12)
Factor o**2 + 681*o - 1366.
(o - 2)*(o + 683)
Factor -f**3/5 - 89*f**2/5 - 255*f + 33813/5.
-(f - 13)*(f + 51)**2/5
Solve -2*s**2/5 + 9156*s/5 - 10479042/5 = 0 for s.
2289
Determine y, given that -3*y**3 - 48*y**2 - 108*y + 432 = 0.
-12, -6, 2
Let -5*m**2 - 380*m + 3360 = 0. What is m?
-84, 8
Let g**2 - 39*g = 0. Calculate g.
0, 39
Suppose 9*m**2 - 24*m + 12 = 0. Calculate m.
2/3, 2
Suppose 5*z**5 + 1770*z**4 + 1755*z**3 - 3530*z**2 = 0. What is z?
-353, -2, 0, 1
Find m such that 4*m**2 - 2064*m - 2068 = 0.
-1, 517
Find s such that 2*s**4/15 - 44*s**3/15 + 94*s**2/5 - 88*s/3 + 40/3 = 0.
1, 10
Factor -5*w**2 - 35*w + 300.
-5*(w - 5)*(w + 12)
Solve -27*v**4/4 + 15*v**3 + 15*v**2/4 - 15*v + 3 = 0.
-1, 2/9, 1, 2
Suppose -u**2/2 - 39*u/4 + 5 = 0. What is u?
-20, 1/2
Find p such that 6*p**5 - 16*p**4 + 20*p**2 - 6*p - 4 = 0.
-1, -1/3, 1, 2
Solve 2*p**4/13 + 18*p**3/13 + 28*p**2/13 - 72*p/13 - 144/13 = 0 for p.
-6, -3, -2, 2
Determine r, given that -3*r**4 + 3*r**3 + 30*r**2 + 24*r = 0.
-2, -1, 0, 4
Factor -2*u**2 - 52*u - 96.
-2*(u + 2)*(u + 24)
Factor 5*f**2 + 150*f + 805.
5*(f + 7)*(f + 23)
Factor -5*y**3 + 20*y**2 + 255*y + 450.
-5*(y - 10)*(y + 3)**2
Factor 181*u**2 + u.
u*(181*u + 1)
Factor w**5/2 + 5*w**4/2 - 21*w**3/2 - 53*w**2/2 - 14*w.
w*(w - 4)*(w + 1)**2*(w + 7)/2
Solve 9*k**4/5 - 129*k**3/5 + 37*k**2/5 + 69*k/5 + 14/5 = 0.
-1/3, 1, 14
Solve h**4/2 - 3*h**3/10 - 7*h**2/10 + 3*h/10 + 1/5 = 0 for h.
-1, -2/5, 1
Suppose 2*q**3/11 + 152*q**2/11 = 0. Calculate q.
-76, 0
Factor -4*o**4 + 80*o**3 - 144*o**2.
-4*o**2*(o - 18)*(o - 2)
Determine t, given that 7*t**5/2 + 17*t**4/4 - 13*t**3/4 - 19*t**2/4 - t/4 + 1/2 = 0.
-1, -1/2, 2/7, 1
Factor -v**2/2 + 11*v/2.
-v*(v - 11)/2
Determine b so that 5*b**5 + 5*b**4 - 65*b**3 - 5*b**2 + 60*b = 0.
-4, -1, 0, 1, 3
Suppose 5*h**4/2 + 33*h**3/4 + 7*h**2/2 = 0. What is h?
-14/5, -1/2, 0
Factor 190*v**2/7 - 178*v/7 - 12/7.
2*(v - 1)*(95*v + 6)/7
Determine w, given that -5*w**3 + 375*w**2 - 7215*w + 6845 = 0.
1, 37
Let 3*u**4 - 63*u**3 - 315*u**2 + 375*u = 0. What is u?
-5, 0, 1, 25
Suppose -2*h**5/3 - 20*h**4/3 + 40*h**3/3 + 240*h**2 - 2304 = 0. What is h?
-6, 4
Find l such that -3*l**4 + 21*l**3 - 21*l**2 - 45*l = 0.
-1, 0, 3, 5
Factor 8*c**3 + 2316*c**2 + 167040*c - 84100.
4*(c + 145)**2*(2*c - 1)
Factor 3*w**3/5 + 132*w**2/5 - 3*w/5 - 132/5.
3*(w - 1)*(w + 1)*(w + 44)/5
Factor 4*u**5 + 132*u**4 + 696*u**3 + 1336*u**2 + 1092*u + 324.
4*(u + 1)**3*(u + 3)*(u + 27)
Factor -f**3/8 - 37*f**2/8 - 93*f/4.
-f*(f + 6)*(f + 31)/8
Determine n so that n**5 + 23*n**4 - 2*n**3 - 46*n**2 + n + 23 = 0.
-23, -1, 1
Determine b so that -105*b**5 + 460*b**4 + 1120*b**3 - 560*b**2 - 240*b = 0.
-2, -2/7, 0, 2/3, 6
Factor -5*q**2 + 260*q - 255.
-5*(q - 51)*(q - 1)
Factor -b**3 + b.
-b*(b - 1)*(b + 1)
Find s such that -s**2/2 + 45*s - 2025/2 = 0.
45
Factor -y**4/4 - 7*y**3/4.
-y**3*(y + 7)/4
Suppose 8*m**3 + 210*m**2 + 52*m = 0. Calculate m.
-26, -1/4, 0
Factor -2*g**3 + 42*g + 40.
-2*(g - 5)*(g + 1)*(g + 4)
Factor 2*u**2/3 - 24*u + 598/3.
2*(u - 23)*(u - 13)/3
Factor 2*r**3/13 + 10*r**2/13 - 12*r/13.
2*r*(r - 1)*(r + 6)/13
Solve -15*o**4 - 21*o**3 + 9*o**2 + 21*o + 6 = 0.
-1, -2/5, 1
Factor r**3/2 + 2559*r**2/2 + 5115*r/2 + 2557/2.
(r + 1)**2*(r + 2557)/2
Factor -m**3/4 + 825*m**2/4 + 413*m/2.
-m*(m - 826)*(m + 1)/4
What is y in 3*y**3/8 + 21*y**2/8 - 3*y/8 - 21/8 = 0?
-7, -1, 1
Let 5*f**2 - 940*f + 44180 = 0. Calculate f.
94
Find r, given that 4*r**3 - 8*r**2 + 4*r = 0.
0, 1
Factor -100*k**2/7 - 309*k/7 - 27/7.
-(k + 3)*(100*k + 9)/7
Factor 5*i**2 + 4735*i.
5*i*(i + 947)
Let -2*d**2/5 - 4*d/5 + 126/5 = 0. What is d?
-9, 7
Factor 8*k**3/3 - k**2 - 32*k/3 + 4.
(k - 2)*(k + 2)*(8*k - 3)/3
Factor j**3/5 - j**2 - 40*j + 300.
(j - 10)**2*(j + 15)/5
Find r such that -2*r**3 - 48*r**2 - 288*r = 0.
-12, 0
Find u such that -2*u**2/3 - 126*u + 380/3 = 0.
-190, 1
Determine c so that -3*c**5 + 27*c**4 - 90*c**3 + 138*c**2 - 99*c + 27 = 0.
1, 3
Factor -2*o**2/5 + 704*o/5 - 61952/5.
-2*(o - 176)**2/5
Determine s so that s**3/2 + s**2 - 2*s - 4 = 0.
-2, 2
Factor d**3 - 11*d**2/2 + 5*d/2.
d*(d - 5)*(2*d - 1)/2
Factor 3*i**3 - 147*i**2 + 420*i - 276.
3*(i - 46)*(i - 2)*(i - 1)
Let 8*d**5 + 50*d**4 - 12*d**3 - 454*d**2 - 496*d - 96 = 0. What is d?
-4, -1, -1/4, 3
Factor 2*w**4 - 172*w**2 + 720*w - 550.
2*(w - 5)**2*(w - 1)*(w + 11)
Factor 4*h**3 - 84*h + 80.
4*(h - 4)*(h - 1)*(h + 5)
What is u in 11*u**3 + 138*u**2 + 72*u = 0?
-12, -6/11, 0
Factor -4*w**5/5 - 124*w**4/5.
-4*w**4*(w + 31)/5
Solve 4*h**2/9 + 536*h/9 + 532/9 = 0.
-133, -1
Factor -3*z**3 - 20*z**2 + 69*z + 54.
-(z - 3)*(z + 9)*(3*z + 2)
Factor -3*q**3/4 - 7371*q**2/4.
-3*q**2*(q + 2457)/4
Suppose -16*j**3 - 52*j**2 + 36 = 0. What is j?
-3, -1, 3/4
Factor -10*x**2 - 7455*x - 18575.
-5*(x + 743)*(2*x + 5)
Factor 5*w**2 + 260*w + 2255.
5*(w + 11)*(w + 41)
Find q such that -q**4/4 - 27*q**3/4 - 91*q**2/2 - 33*q + 306 = 0.
-17, -6, 2
Determine p so that -4*p**3 - 4440*p**2 - 1232100*p = 0.
-555, 0
Factor 5*i**3/6 + 9256*i**2/3 + 5712803*i/2 + 1142067.
(i + 1851)**2*(5*i + 2)/6
Factor 4*f**3 - 404*f**2 + 1176*f.
4*f*(f - 98)*(f - 3)
Suppose -4*w**3 + 104*w**2 - 700*w + 600 = 0. Calculate w.
1, 10, 15
Let 5*w**5 - 2455*w**4 + 300115*w**3 + 305035*w**2 - 300120*w - 302580 = 0. Calculate w.
-1, 1, 246
Suppose -5*w**4 - 20*w**3 + 55*w**2 - 30*w = 0. Calculate w.
-6, 0, 1
Factor n**3/9 - 104*n**2/3 - 209*n/3 - 314/9.
(n - 314)*(n + 1)**2/9
Factor 2*f**2/3 + 20*f/3 - 22/3.
2*(f - 1)*(f + 11)/3
Factor -v**3/2 + 543*v**2/2 - 1083*v/2 + 541/2.
-(v - 541)*(v - 1)**2/2
Factor -j**2 + 54*j + 427.
-(j - 61)*(j + 7)
Suppose -5*q**4 - 15*q**3 - 15*q**2 - 5*q = 0. What is q?
-1, 0
Suppose l**3 + 425*l**2 - l - 425 = 0. What is l?
-425, -1, 1
Factor 32*s**3 - 164*s**2 + 212*s - 24.
4*(s - 3)*(s - 2)*(8*s - 1)
Determine l so that 2*l**3/7 - 208*l**2/7 + 6298*l/7 - 44180/7 = 0.
10, 47
Factor -i**3/3 - 25*i**2/3 - 56*i - 48.
-(i + 1)*(i + 12)**2/3
Find r such that 2*r**4 + 34*r**3 + 22*r**2 - 1210*r = 0.
-11, 0, 5
Factor -5*k**4/4 + 15*k**3 - 45*k**2 + 40*k.
-5*k*(k - 8)*(k - 2)**2/4
Find s, given that -13005*s**2 + 1020*s - 20 = 0.
2/51
Factor 15*u**2 - 7120*u - 2375.
5*(u - 475)*(3*u + 1)
Factor 3*q**2 + 861*q - 3492.
3*(q - 4)*(q + 291)
Factor 4*l**2 + 32*l + 64.
4*(l + 4)**2
Solve -6*w**5 + 64*w**4/5 + 82*w**3/5 - 132*w**2/5 - 104*w/5 + 16/5 = 0 for w.
-1, 2/15, 2
Find s such that 2*s**4/5 - 2*s**3/5 - 6*s**2/5 + 2*s - 4/5 = 0.
-2, 1
Determine r, given that -3*r**3 - 27*r**2 + 30*r = 0.
-10, 0, 1
Factor -4*q**2 + 32*q - 28.
-4*(q - 7)*(q - 1)
Determine p so that -7*p**3 + 51*p**2 + 123*p + 65 = 0.
-1, 65/7
Determine h so that 2*h**5 - 2*h**4 - 6*h**3 + 2*h**2 + 4*h = 0.
-1, 0, 1, 2
Factor -n**2/4 + 49*n/4 - 82.
-(n - 41)*(n - 8)/4
Factor -f**4/4 + 3*f**3/2 - 2*f**2.
-f**2*(f - 4)*(f - 2)/4
Factor 5*x**2 + 55*x - 760.
5*(x - 8)*(x + 19)
Factor a**5/2 + a**4 - 43*a**3/2 + 20*a**2.
a