q**2 - 140*q - 16 = 0.
-1/9, 4
Factor -3*t**3 + 39*t**2 + 195*t + 153.
-3*(t - 17)*(t + 1)*(t + 3)
Factor 2*p**2/5 - 2*p/5 - 24/5.
2*(p - 4)*(p + 3)/5
Let -2*w**5/3 + 4*w**4 - 2*w**3/3 - 16*w**2 - 32*w/3 = 0. What is w?
-1, 0, 4
Find n such that -2*n**2/5 - 42*n + 2052/5 = 0.
-114, 9
Solve -4*v**3/7 - 2112*v**2/7 - 16704*v/7 - 33280/7 = 0 for v.
-520, -4
Determine z, given that z**5/4 + 7*z**4/2 + 8*z**3 - 7*z**2/2 - 33*z/4 = 0.
-11, -3, -1, 0, 1
Factor 4*x**4/5 - 16*x**3/5 + 12*x**2/5 + 16*x/5 - 16/5.
4*(x - 2)**2*(x - 1)*(x + 1)/5
Let -3*x**2 - 66*x - 351 = 0. What is x?
-13, -9
Factor -y**3/3 + 23*y**2/3 - 57*y + 135.
-(y - 9)**2*(y - 5)/3
Factor -2*h**2 - 34*h/5 - 12/5.
-2*(h + 3)*(5*h + 2)/5
Factor -5*k**3 - 75*k**2 - 370*k - 600.
-5*(k + 4)*(k + 5)*(k + 6)
Find l, given that -l**3/8 + 9*l**2/2 + 9*l/8 - 81/2 = 0.
-3, 3, 36
Suppose -14*r**5 + 36*r**4 + 4*r**3 - 48*r**2 + 10*r + 12 = 0. Calculate r.
-1, -3/7, 1, 2
Determine b so that -2*b**5/3 - 26*b**4/3 + 58*b**3/3 - 10*b**2 = 0.
-15, 0, 1
Factor -7*p**2/6 - 58*p/3 - 32/3.
-(p + 16)*(7*p + 4)/6
Find x, given that 2*x**5/11 - 46*x**4/11 + 260*x**3/11 - 56*x**2 + 656*x/11 - 256/11 = 0.
1, 2, 16
Find m such that m**4 - 6*m**3 + 8*m**2 + 6*m - 9 = 0.
-1, 1, 3
Factor n**3/5 + 9*n**2/5 - 108/5.
(n - 3)*(n + 6)**2/5
Factor j**4/4 + 35*j**3/4 + 129*j**2/4 + 157*j/4 + 31/2.
(j + 1)**2*(j + 2)*(j + 31)/4
Solve 3*s**3 - 108*s**2 - 12*s + 432 = 0.
-2, 2, 36
Suppose -474*t**2 + 8*t = 0. What is t?
0, 4/237
Factor -16*c**2 + 2972*c + 744.
-4*(c - 186)*(4*c + 1)
Determine q so that -3*q**5 + 102*q**4 - 744*q**3 - 2352*q**2 + 3024*q + 7776 = 0.
-2, 2, 18
Suppose -2*c**5/3 - 2*c**4/3 + 2*c**3/3 + 2*c**2/3 = 0. Calculate c.
-1, 0, 1
Suppose h**2/2 + 33*h + 65/2 = 0. Calculate h.
-65, -1
What is m in -2*m**2/19 - 4*m/19 = 0?
-2, 0
Factor v**3/2 + 121*v**2/2 - 381*v.
v*(v - 6)*(v + 127)/2
Factor -u**5 + 32*u**4 - 328*u**3 + 902*u**2 + 2057*u - 2662.
-(u - 11)**3*(u - 1)*(u + 2)
Factor -y**2 + 112*y + 113.
-(y - 113)*(y + 1)
Determine f so that f**3 - 45*f**2 - 208*f + 588 = 0.
-6, 2, 49
Find t, given that 3*t**5 - 717*t**4 + 55386*t**3 - 1239348*t**2 - 10852536*t - 19849248 = 0.
-4, -3, 82
Factor o**2 - 427*o + 426.
(o - 426)*(o - 1)
Determine s, given that -s**5 - 31*s**4 - 264*s**3 - 716*s**2 - 608*s = 0.
-19, -8, -2, 0
Factor 3*i**2 + 78*i - 81.
3*(i - 1)*(i + 27)
What is g in -2*g**3/9 - 26*g**2/9 + 136*g/9 = 0?
-17, 0, 4
Factor g**3/6 + g**2/6 - 7*g/2 - 15/2.
(g - 5)*(g + 3)**2/6
Let 2*d**4/3 - 18*d**3 + 182*d**2 - 2450*d/3 + 1372 = 0. Calculate d.
6, 7
Factor -q**3/2 + 1853*q**2/2 - 3703*q/2 + 1851/2.
-(q - 1851)*(q - 1)**2/2
Determine i, given that 6*i**4 + 398*i**3 + 6662*i**2 + 1914*i - 4356 = 0.
-33, -1, 2/3
Factor 18*t**3 + 20*t**2 - 34*t - 4.
2*(t - 1)*(t + 2)*(9*t + 1)
Factor 49*u**3/4 - 3983*u**2/2 + 1135*u - 162.
(u - 162)*(7*u - 2)**2/4
What is z in -z**3/4 + 37*z**2/4 - 73*z/2 - 112 = 0?
-2, 7, 32
Suppose -r**2/3 - 6452*r/3 - 10407076/3 = 0. What is r?
-3226
Suppose -5*d**3 + 375*d**2 = 0. What is d?
0, 75
Factor -x**4/2 + 6*x**3 - 25*x**2 + 42*x - 45/2.
-(x - 5)*(x - 3)**2*(x - 1)/2
Let 3*d**4 - 5*d**3 - 2*d**2 = 0. What is d?
-1/3, 0, 2
Let -2*z**4/9 - 398*z**3/9 - 394*z**2/9 + 398*z/9 + 44 = 0. What is z?
-198, -1, 1
Factor -a**4/7 + 44*a**3/7 - 199*a**2/7 + 156*a/7.
-a*(a - 39)*(a - 4)*(a - 1)/7
Find u such that -24*u**2 - 92*u - 60 = 0.
-3, -5/6
Factor -2*h**3/9 - 92*h**2/9 - 770*h/9.
-2*h*(h + 11)*(h + 35)/9
Factor -p**5/3 + 15*p**4 - 225*p**3 + 1125*p**2.
-p**2*(p - 15)**3/3
Let -57*o**3/4 - 30*o**2 - 3*o = 0. What is o?
-2, -2/19, 0
Find x, given that -4*x**4 + 96*x**3 - 664*x**2 + 1056*x - 484 = 0.
1, 11
Find p such that -p**4/4 + 14*p**3 - 105*p**2/4 - 81*p/2 = 0.
-1, 0, 3, 54
Determine m so that -5*m**4 - 10*m**3 + 15*m**2 = 0.
-3, 0, 1
Find k such that -21*k**5 + 4752*k**4 + 8199*k**3 + 2058*k**2 - 1368*k = 0.
-1, 0, 2/7, 228
Find l such that 2*l**3/9 + 8*l**2/9 - 26*l/3 + 12 = 0.
-9, 2, 3
Determine j so that -5*j**4 - 45*j**3 - 125*j**2 - 135*j - 50 = 0.
-5, -2, -1
Suppose 4*c**2 + 8*c = 0. What is c?
-2, 0
Suppose -5*t**4 + 5*t**3 + 225*t**2 + 415*t + 200 = 0. What is t?
-5, -1, 8
Find c, given that -2*c**4 - 260*c**3/7 - 382*c**2/7 - 136*c/7 = 0.
-17, -1, -4/7, 0
Suppose -333*t**3 - 345*t**2 - 12*t = 0. What is t?
-1, -4/111, 0
Suppose -3*x**4 + 6*x**3 + 15*x**2 - 18*x = 0. What is x?
-2, 0, 1, 3
Solve 3*d**3/5 - 3587*d**2/5 + 1071616*d/5 + 357604/5 = 0 for d.
-1/3, 598
Factor 25*r**4/6 + 1730*r**3/3 + 60203*r**2/3 + 7958*r + 1587/2.
(r + 69)**2*(5*r + 1)**2/6
Factor 3*y**3/7 + 90*y**2 - 1269*y/7 + 636/7.
3*(y - 1)**2*(y + 212)/7
Factor 5*a**2 + 10*a - 120.
5*(a - 4)*(a + 6)
Determine d, given that -5*d**4 - 130*d**3 - 885*d**2 - 2140*d - 1700 = 0.
-17, -5, -2
Find m, given that -8*m**3 - 386*m**2 - 4704*m - 1152 = 0.
-24, -1/4
Factor -r**2/8 + 125*r/8.
-r*(r - 125)/8
What is t in -t**3/3 - 20*t**2/3 + 23*t/3 + 14 = 0?
-21, -1, 2
Factor -2*j**3/9 + 16*j**2/9 - 32*j/9.
-2*j*(j - 4)**2/9
Determine j, given that j**4 + 4*j**3/3 - j**2 - 4*j/3 = 0.
-4/3, -1, 0, 1
Suppose -2*u**5 + 94*u**4 + 1494*u**3 + 3898*u**2 + 3700*u + 1200 = 0. Calculate u.
-10, -1, 60
Factor 5*l**5 + 8140*l**4 + 3312980*l**3.
5*l**3*(l + 814)**2
Determine k so that 2*k**2/13 - 596*k/13 + 44402/13 = 0.
149
Suppose x**2/4 + 57*x + 675/4 = 0. Calculate x.
-225, -3
Determine w so that 5*w**3 + 915*w**2 + 15255*w + 66825 = 0.
-165, -9
Find p, given that p**2/4 + 59*p/4 + 29/2 = 0.
-58, -1
Factor 2*k**2 + 26*k + 80.
2*(k + 5)*(k + 8)
Determine r so that -3*r**4/2 + 21*r**3 - 39*r**2/2 = 0.
0, 1, 13
Determine a, given that 3*a**3/4 - 93*a**2/4 + 18*a + 135 = 0.
-2, 3, 30
Let v**4/4 + v**3 - 15*v**2/4 - 9*v/2 = 0. Calculate v.
-6, -1, 0, 3
Find c such that -2*c**3 + 4*c**2 + 22*c - 24 = 0.
-3, 1, 4
Suppose 3*b**3 - 51*b**2 - 3*b + 51 = 0. Calculate b.
-1, 1, 17
Find n such that -15*n**3 + 55*n**2 - 25*n - 15 = 0.
-1/3, 1, 3
Suppose -m**2 + 25*m + 656 = 0. What is m?
-16, 41
Find r such that -3*r**4/4 + 87*r**3/4 - 633*r**2/4 + 1197*r/4 = 0.
0, 3, 7, 19
Factor -2*s**2/9 + 8*s/9 + 280/9.
-2*(s - 14)*(s + 10)/9
Find u, given that -4*u**3/7 + 16*u**2/7 - 4*u/7 - 24/7 = 0.
-1, 2, 3
Factor 3*j**4 + 21*j**3/2 - 6*j**2.
3*j**2*(j + 4)*(2*j - 1)/2
Solve 4*z**2 + 68*z - 72 = 0 for z.
-18, 1
Determine r so that 3*r**5/4 - 15*r**4/2 + 33*r**3/2 + 18*r**2 - 189*r/4 - 81/2 = 0.
-1, 3, 6
Determine n, given that 4*n**3 - 884*n**2 + 48396*n + 49284 = 0.
-1, 111
Determine g, given that -2*g**3/15 - 34*g**2/15 - 44*g/5 - 48/5 = 0.
-12, -3, -2
What is o in -3*o**2/2 - 465*o/2 - 231 = 0?
-154, -1
What is i in -2*i**5/17 + 58*i**4/17 - 324*i**3/17 - 1408*i**2/17 - 1024*i/17 = 0?
-2, -1, 0, 16
Factor -22*d**2 - 136*d/3 - 8/3.
-2*(d + 2)*(33*d + 2)/3
Solve -25*s**2 - 6490*s - 3885 = 0.
-259, -3/5
Determine b, given that 2*b**3/13 - 12*b**2/13 = 0.
0, 6
Factor -k**3/4 - k**2/2 + 21*k/4 - 9/2.
-(k - 3)*(k - 1)*(k + 6)/4
Factor 3*r**3 - 57*r**2 + 228*r - 252.
3*(r - 14)*(r - 3)*(r - 2)
Factor 2*g**2 + 26*g + 72.
2*(g + 4)*(g + 9)
Factor -3*z**2/7 - 5*z/7 - 2/7.
-(z + 1)*(3*z + 2)/7
Determine v so that 2*v**5 - 26*v**4 + 110*v**3 - 150*v**2 = 0.
0, 3, 5
Factor 2*u**2/3 + 12328*u + 56992344.
2*(u + 9246)**2/3
Factor d**3/3 - 11*d**2/3 + 5*d + 9.
(d - 9)*(d - 3)*(d + 1)/3
Factor o**2 - 2*o.
o*(o - 2)
Find z such that -z**5/3 - 43*z**4/3 + 11*z**3/3 + 455*z**2/3 - 766*z/3 + 344/3 = 0.
-43, -4, 1, 2
Suppose i**2 + 6*i - 16 = 0. What is i?
-8, 2
Factor -2*t**3/5 - 31*t**2/5 + 237*t/5 + 126/5.
-(t - 6)*(t + 21)*(2*t + 1)/5
Factor 4*w**2 + 13856*w + 11999296.
4*(w + 1732)**2
Factor t**2/5 + 49*t/5.
t*(t + 49)/5
Find b, given that -2*b**5/7 + 26*b**4/7 - 96*b**3/7 + 136*b**2/7 - 64*b/7 = 0.
0, 1, 2, 8
Find g such that g**5/4 - g**4/2 - 3*g**3/2 + 5*g**2 - 19*g/4 + 3/2 = 0.
-3, 1, 2
Factor -z**5 - 37*z**4 + 446*z**3 - 1106*z**2 + 1027*z - 329.
-(z - 7)*(z - 1)**3*(z + 47)
Factor 2*o**2/13 + 2*o.
2*o*(o + 13)/13
Find o, given that 3*o**4 + 18*o**3 - 84*o**2 - 18*o + 81 = 0.
-9, -1, 1, 3
Determine t, given that -45*t**5/4 - 813*t**4/4 - 2079*t**3/4 - 135*t**2/4 = 0.
-15, -3, -1/15, 0
Factor 5041*q**2 + 2414*q + 289.
(71*q + 17)**2
Factor 4*t**5 - 12*t**4 - 36*t**3 - 20*t**2.
4*t**2*(t - 5)*(t + 1)**2
Factor -4*g**3 + 92*g**2 + 196*g + 100.
-4*(g - 