0 = 0.
-8, -1, 1/15, 1
Find h such that h**3/6 + 5*h**2 + 23*h/6 - 29 = 0.
-29, -3, 2
Factor 4*f**4 - 60*f**3 - 416*f**2 + 2256*f - 2432.
4*(f - 19)*(f - 2)**2*(f + 8)
What is g in 4*g**5 + 12*g**4 - 4*g**3 - 44*g**2 - 48*g - 16 = 0?
-2, -1, 2
Suppose -w**2/3 + 74*w - 219 = 0. Calculate w.
3, 219
Find o, given that -o**2/6 - 5*o/6 - 1 = 0.
-3, -2
Find n, given that -2*n**5 - 34*n**4 - 150*n**3 + 26*n**2 + 544*n - 384 = 0.
-8, -3, 1
Determine m so that -3*m**2/2 + 249*m - 972 = 0.
4, 162
Suppose f**5/2 - 22*f**4 + 293*f**3/2 - 83*f**2 - 252*f = 0. Calculate f.
-1, 0, 2, 7, 36
Factor 3*p**2/2 + 14253*p + 67716003/2.
3*(p + 4751)**2/2
Factor -2*y**3/7 + 170*y**2/7 - 3854*y/7 + 10086/7.
-2*(y - 41)**2*(y - 3)/7
Solve -a**2/2 - 1710*a - 1462050 = 0.
-1710
Factor 8*b**2 + 142*b - 36.
2*(b + 18)*(4*b - 1)
Factor -14*y**3 - 410*y**2 + 752*y + 248.
-2*(y - 2)*(y + 31)*(7*y + 2)
Factor s**2 - 38*s + 37.
(s - 37)*(s - 1)
What is n in -4*n**2/9 - 20*n/9 = 0?
-5, 0
Factor -7*c**3/3 - 180*c**2 + 2251*c/3 - 568.
-(c - 3)*(c - 1)*(7*c + 568)/3
What is z in 2*z**3/11 - 28*z**2/11 - 430*z/11 - 1200/11 = 0?
-5, 24
Factor 2*w**3/11 + 5718*w**2/11 + 5449254*w/11 + 1731046354/11.
2*(w + 953)**3/11
Let 110*w**5 - 305*w**4 + 255*w**3 - 35*w**2 - 25*w = 0. What is w?
-5/22, 0, 1
Suppose 20*y**4 + 68*y**3 + 84*y**2 + 44*y + 8 = 0. Calculate y.
-1, -2/5
Factor d**2 - 122*d + 3721.
(d - 61)**2
Factor 3*d**3 - 15*d**2 + 21*d - 9.
3*(d - 3)*(d - 1)**2
Find c such that -5*c**4 - 1255*c**3 + 3795*c**2 - 3805*c + 1270 = 0.
-254, 1
Determine u so that 4*u**3/7 + 104*u**2 + 4940*u/7 + 1000 = 0.
-175, -5, -2
Factor 3*f**4 + 18*f**3 + 15*f**2 - 36*f.
3*f*(f - 1)*(f + 3)*(f + 4)
Factor 5*k**2 + 1000*k - 5125.
5*(k - 5)*(k + 205)
Solve 14*r**4 + 30*r**3 - 38*r**2 - 6*r = 0 for r.
-3, -1/7, 0, 1
Determine k, given that -2*k**5/7 + 214*k**4/7 - 6764*k**3/7 + 24804*k**2/7 + 1286766*k/7 - 1305018/7 = 0.
-11, 1, 39
Factor -3*s**2 - 42*s + 45.
-3*(s - 1)*(s + 15)
Let 474*q**2 - 477*q + 3 = 0. What is q?
1/158, 1
Factor g**2/4 + 732*g + 535824.
(g + 1464)**2/4
Factor 4*n**3 - 25*n**2 + 26*n - 5.
(n - 5)*(n - 1)*(4*n - 1)
Factor -q**4/4 + 7*q**3/4 - 17*q**2/4 + 17*q/4 - 3/2.
-(q - 3)*(q - 2)*(q - 1)**2/4
Determine j so that 5*j**5/6 + 35*j**4/6 - 55*j**3/6 - 95*j**2/6 + 95*j/3 - 40/3 = 0.
-8, -2, 1
Determine o so that o**4/4 + 3*o**3/2 - 61*o**2/4 - 33*o/2 = 0.
-11, -1, 0, 6
Suppose -2*i**2/13 - 304*i/13 - 11552/13 = 0. What is i?
-76
Determine k, given that -26*k**5/3 + 290*k**4/3 - 1162*k**3/3 + 1966*k**2/3 - 404*k + 48 = 0.
2/13, 1, 3, 4
Factor w**4/6 - 4*w**3/3 - 35*w**2/6 + 25*w.
w*(w - 10)*(w - 3)*(w + 5)/6
Factor i**3 - 91*i**2 + 594*i - 504.
(i - 84)*(i - 6)*(i - 1)
Solve -67*z**2 + 27*z + 40 = 0 for z.
-40/67, 1
Find i, given that -605*i**3 - 550*i**2 + 1140*i - 360 = 0.
-2, 6/11
Factor -3*w**4 + 34*w**3/3 + 413*w**2/3 + 30*w.
-w*(w - 9)*(w + 5)*(9*w + 2)/3
Factor -h**3 - 31*h**2 - 220*h + 252.
-(h - 1)*(h + 14)*(h + 18)
Factor 2*t**5/5 + 8*t**4/5 + 8*t**3/5 - 4*t**2/5 - 2*t - 4/5.
2*(t - 1)*(t + 1)**3*(t + 2)/5
Let 50*w**4/7 + 720*w**3/7 - 4258*w**2/7 + 360*w + 1064 = 0. What is w?
-19, -1, 14/5
Factor 2*f**3/3 - 26*f**2 - 28*f + 160/3.
2*(f - 40)*(f - 1)*(f + 2)/3
Factor 17*n**4/2 - 53*n**3/2 + 3*n**2.
n**2*(n - 3)*(17*n - 2)/2
Solve -w**2/2 + 43*w/2 - 221 = 0.
17, 26
Factor -5*v**2 - 48160*v - 115969280.
-5*(v + 4816)**2
Determine r so that -2*r**5 + 2*r**4 + 74*r**3 + 70*r**2 = 0.
-5, -1, 0, 7
Factor -2*l**3/3 + 64*l**2/3 + 206*l/3 - 2380/3.
-2*(l - 34)*(l - 5)*(l + 7)/3
Let -2*h**3/15 + 4*h**2 - 112*h/15 = 0. Calculate h.
0, 2, 28
Factor g**2 + 2*g.
g*(g + 2)
Suppose 5*o**4 + 65*o**3 + 50*o**2 - 120*o = 0. What is o?
-12, -2, 0, 1
Factor -5*h**3 + 90*h**2 - 165*h + 80.
-5*(h - 16)*(h - 1)**2
Factor 12*p**4 - 80*p**3 - 348*p**2.
4*p**2*(p + 3)*(3*p - 29)
Factor -3*d**4 - 2094*d**3 - 4179*d**2 - 2088*d.
-3*d*(d + 1)**2*(d + 696)
Determine n so that -n**3 - 22*n**2 + 73*n - 50 = 0.
-25, 1, 2
Solve -h**5/4 + h**4/2 + 23*h**3/2 + 34*h**2 + 147*h/4 + 27/2 = 0.
-3, -2, -1, 9
Solve 2*p**2/7 - 3156*p/7 + 1245042/7 = 0.
789
Find v such that -6*v**3 - 16*v**2 - 8*v = 0.
-2, -2/3, 0
Let -4*b**3 + 342*b**2 - 7224*b - 3698 = 0. Calculate b.
-1/2, 43
Find a, given that -2*a**2/3 - 38*a/3 + 28 = 0.
-21, 2
Factor -f**2 + 75*f - 476.
-(f - 68)*(f - 7)
Find k, given that -k**2 - 2964*k - 2196324 = 0.
-1482
Factor 3*o**4 + 51*o**3 + 45*o**2 - 51*o - 48.
3*(o - 1)*(o + 1)**2*(o + 16)
Factor 2*z**3/9 + 182*z**2/3 - 2*z - 546.
2*(z - 3)*(z + 3)*(z + 273)/9
Factor 5*q**5 - 5*q**3.
5*q**3*(q - 1)*(q + 1)
Find b such that -2*b**2/5 + 1776*b - 1971360 = 0.
2220
Find l such that 4*l**4 - 68*l**3 - 172*l**2 + 356*l + 456 = 0.
-3, -1, 2, 19
Let -3*a**4 + 1371*a**3 - 1368*a**2 = 0. What is a?
0, 1, 456
Factor -2*x**2/15 - 32*x/3 - 640/3.
-2*(x + 40)**2/15
Factor 28*b**2/3 - 31*b/3 + 2.
(4*b - 1)*(7*b - 6)/3
Factor -c**2 - 382*c - 36481.
-(c + 191)**2
Let 5*m**3 + 335*m**2 + 3440*m - 3780 = 0. What is m?
-54, -14, 1
Factor -u**4/6 - u**3 - 2*u**2 - 5*u/3 - 1/2.
-(u + 1)**3*(u + 3)/6
Factor 2*l**4 - 908*l**3 + 101224*l**2 + 416780*l + 314646.
2*(l - 229)**2*(l + 1)*(l + 3)
Determine q so that q**2/4 - 9/4 = 0.
-3, 3
Find b, given that 34*b**5/11 + 72*b**4/11 + 8*b**3/11 - 68*b**2/11 - 42*b/11 - 4/11 = 0.
-1, -2/17, 1
Factor 100*g**2 - 1680*g + 7056.
4*(5*g - 42)**2
Let 5*c**3 + 18170*c**2 + 16507445*c = 0. What is c?
-1817, 0
Suppose -2*l**4 - 196*l**3 - 5834*l**2 - 50568*l - 133128 = 0. Calculate l.
-43, -6
Factor -t**2/3 + 683*t/3.
-t*(t - 683)/3
Factor -r**4/4 + 35*r**3/2 + 299*r**2/4 - 51*r - 333.
-(r - 74)*(r - 2)*(r + 3)**2/4
Suppose 5*a**5 + 55*a**4 + 195*a**3 + 185*a**2 - 200*a - 240 = 0. What is a?
-4, -3, -1, 1
Factor f**2/5 + 34*f/5 + 48.
(f + 10)*(f + 24)/5
What is f in 75*f**4/8 + 765*f**3/2 + 5337*f**2/8 + 705*f/2 + 117/2 = 0?
-39, -1, -2/5
Factor 11*u**2/2 + 51*u/2 - 10.
(u + 5)*(11*u - 4)/2
Factor -5*a**4 + 140*a**3 - 505*a**2 - 1610*a.
-5*a*(a - 23)*(a - 7)*(a + 2)
Find v, given that v**5/3 + 2*v**4/3 - 7*v**3/3 - 8*v**2/3 + 4*v = 0.
-3, -2, 0, 1, 2
Let -25*p**5 - 120*p**4 - 100*p**3 + 150*p**2 + 125*p - 30 = 0. Calculate p.
-3, -2, -1, 1/5, 1
What is a in -1029*a**5 - 27636*a**4 - 197085*a**3 - 155634*a**2 - 43212*a - 4056 = 0?
-13, -2/7
Factor 2*k**5/5 + 4096*k**4/5 + 2093052*k**3/5 - 839680*k**2 + 420250*k.
2*k*(k - 1)**2*(k + 1025)**2/5
Factor -5*d**3/2 + 5*d**2/2 + 20*d - 30.
-5*(d - 2)**2*(d + 3)/2
Factor 2*l**2/15 + 22*l/5.
2*l*(l + 33)/15
Factor 410*g**2/11 + 124*g/11 - 16/11.
2*(5*g + 2)*(41*g - 4)/11
What is j in -j**5/2 + 3*j**3 + 4*j**2 + 3*j/2 = 0?
-1, 0, 3
Factor 1346*t**2/3 + 1348*t/3 + 2/3.
2*(t + 1)*(673*t + 1)/3
Suppose -2*r**3 + 490*r**2 + 2*r - 490 = 0. What is r?
-1, 1, 245
Solve -v**4/6 - 32*v**3/3 + 283*v**2/6 + 377*v/3 + 68 = 0 for v.
-68, -1, 6
Factor -3*j**2 + 30*j - 27.
-3*(j - 9)*(j - 1)
Factor m**3/6 - 20*m**2 + 79*m/2 - 59/3.
(m - 118)*(m - 1)**2/6
Factor -r**4 - 18*r**3 + 159*r**2 - 388*r + 300.
-(r - 3)*(r - 2)**2*(r + 25)
Find o, given that -6*o**3 - 1443*o**2 + 723*o = 0.
-241, 0, 1/2
Find z, given that -27*z**2 - 69*z + 156 = 0.
-4, 13/9
Find p such that 15*p**2 - 125*p + 240 = 0.
3, 16/3
Factor -i**2/7 + 55*i/7 - 156/7.
-(i - 52)*(i - 3)/7
What is m in -m**3/5 + m**2 + m/5 - 1 = 0?
-1, 1, 5
What is g in -3*g**5/2 + 375*g**4/4 - 42*g**3 - 1113*g**2/4 - 48*g + 93 = 0?
-1, 1/2, 2, 62
Factor j**2 + 19*j + 90.
(j + 9)*(j + 10)
Factor -3*d**2 + 1098*d - 2184.
-3*(d - 364)*(d - 2)
Factor 5*c**3 + 135*c**2 + 435*c - 575.
5*(c - 1)*(c + 5)*(c + 23)
Determine o so that -o**5 + 20*o**4 - 99*o**3 - 20*o**2 + 100*o = 0.
-1, 0, 1, 10
Factor 2*r**2 - 162*r + 316.
2*(r - 79)*(r - 2)
Suppose -5*v**2 - 2390*v + 4800 = 0. Calculate v.
-480, 2
Solve -21*v**3/4 + 3*v**2/8 + 21*v/4 - 3/8 = 0.
-1, 1/14, 1
Determine s so that 3*s**2 + 798*s + 53067 = 0.
-133
Determine a, given that -7*a**5/4 - 53*a**4/4 - 51*a**3/2 + 27*a**2/2 + 189*a/4 - 81/4 = 0.
-3, 3/7, 1
Let -3*h**4 + 9*h**3 + 18*h**2 - 24*h = 0. What is h?
-2, 0, 1, 4
Let 2*l**4/7 + 16*l**3/7 - 18*l**2/7 = 0. What is l?
-9, 0, 1
Suppose m**5 - 91*m**4 + 2019*m**3 + 2579*m**2 - 10856*m + 6348 = 0. Calculate m.
-3, 1, 46
Factor -20*w**5/3 - 15*w**4 - 10*w**3 - 5*w**2/3.
-5*w**2*(w + 1)**2*(4*w + 1)/3
What is b in -b**3/5