0*q - 7632 = 0.
-159, -2/7, 3
Suppose b**4 - 7*b**2 + 6*b = 0. What is b?
-3, 0, 1, 2
Let -2*j**4/11 + 14440*j**3/11 - 26049756*j**2/11 - 52142840*j/11 - 26078642/11 = 0. What is j?
-1, 3611
Let -5*h**3 + 1655*h**2 - 31600*h + 155500 = 0. What is h?
10, 311
Find u, given that u**3 + 47*u**2 + 575*u + 529 = 0.
-23, -1
Solve 12*v**4 - 93*v**3 + 195*v**2 - 159*v + 45 = 0.
3/4, 1, 5
Factor -v**4/7 - 4*v**3/7 + 3*v**2 + 104*v/7 + 80/7.
-(v - 5)*(v + 1)*(v + 4)**2/7
Solve 3*v**5/4 - 21*v**4/4 + 27*v**3/2 - 15*v**2 + 6*v = 0.
0, 1, 2
Factor 2*b**4 - 26*b**2 + 24*b.
2*b*(b - 3)*(b - 1)*(b + 4)
Factor -5*v**2 - 105*v - 490.
-5*(v + 7)*(v + 14)
Factor -3*w**2 + 120*w + 123.
-3*(w - 41)*(w + 1)
Find w such that -3*w**4/8 + 9*w**3/4 - 39*w**2/8 + 9*w/2 - 3/2 = 0.
1, 2
Factor p**3/2 - 17*p**2/2 - 10*p + 18.
(p - 18)*(p - 1)*(p + 2)/2
Let 5*t**2 - 530*t + 14045 = 0. What is t?
53
Determine x, given that 6*x**4 - 1077*x**3 + 531*x**2 + 1077*x - 537 = 0.
-1, 1/2, 1, 179
Find r, given that -5*r**4 - 160*r**3 - 555*r**2 + 160*r + 560 = 0.
-28, -4, -1, 1
Find b, given that 5*b**3 - 20*b**2 + 20*b = 0.
0, 2
Factor 25*s**2 - 80*s + 15.
5*(s - 3)*(5*s - 1)
Factor -q**4/2 + 75*q**3/2 - 897*q**2 + 5746*q + 26364.
-(q - 26)**3*(q + 3)/2
Find m such that 2*m**3/5 - 556*m**2/5 + 39192*m/5 - 76176/5 = 0.
2, 138
Find r, given that 4*r**3 + 76*r**2 + 360*r = 0.
-10, -9, 0
Solve 2*f**4 + 52*f**3/3 + 42*f**2 + 16*f - 32/3 = 0 for f.
-4, -1, 1/3
Factor -3*h**5 - 21*h**4 - 18*h**3.
-3*h**3*(h + 1)*(h + 6)
Factor -2*s**5 - 24*s**4 - 112*s**3 - 256*s**2 - 288*s - 128.
-2*(s + 2)**4*(s + 4)
Factor 4*u**2 + 13688*u + 11710084.
4*(u + 1711)**2
Suppose 23805*g**4 - 64630*g**3 - 19715*g**2 - 1900*g - 60 = 0. What is g?
-1/9, -2/23, 3
Factor -5*m**2 - 5210*m - 1357205.
-5*(m + 521)**2
Factor -2*l**5/3 + 2*l**4/3 + 4*l**3/3 - 4*l**2/3 - 2*l/3 + 2/3.
-2*(l - 1)**3*(l + 1)**2/3
Solve -3*w**3 - 27*w**2 - 24*w = 0.
-8, -1, 0
Factor -2*d**5 + 36*d**3 - 162*d.
-2*d*(d - 3)**2*(d + 3)**2
Suppose -2*w**4/15 + 2*w**3/5 - 2*w**2/5 + 2*w/15 = 0. What is w?
0, 1
Solve c**3/9 + 10*c**2/3 + 17*c + 24 = 0 for c.
-24, -3
Find k such that -3*k**3 + 84*k**2 + 291*k - 372 = 0.
-4, 1, 31
What is w in -9*w**3/2 + 37*w**2/2 - 20*w + 2 = 0?
1/9, 2
Factor -4*o**3/9 + 268*o**2/9 - 636*o + 4212.
-4*(o - 27)**2*(o - 13)/9
Factor -38*d**3/17 - 98*d**2/17 - 82*d/17 - 22/17.
-2*(d + 1)**2*(19*d + 11)/17
Suppose -2*m**2/13 + 696*m/13 + 698/13 = 0. What is m?
-1, 349
Suppose -7*m**4 - 82*m**3 + 213*m**2 - 152*m + 28 = 0. What is m?
-14, 2/7, 1
Factor 24*m**4 + 99*m**3 - 60*m**2 - 441*m - 54.
3*(m - 2)*(m + 3)**2*(8*m + 1)
Factor -3*s**4/2 + 3*s**3/2 + 15*s**2/2 + 9*s/2.
-3*s*(s - 3)*(s + 1)**2/2
Determine y, given that 16*y**4 - 172*y**3 + 20*y**2 + 976*y + 240 = 0.
-2, -1/4, 3, 10
Factor -i**3 + 13*i**2 + 30*i.
-i*(i - 15)*(i + 2)
Suppose -r**2 - 845*r + 846 = 0. Calculate r.
-846, 1
Factor 4*r**5 - 192*r**4 + 3452*r**3 - 29600*r**2 + 122112*r - 194560.
4*(r - 19)*(r - 8)**3*(r - 5)
Determine i, given that -25*i**5 - 120*i**4 + 200*i**3 + 90*i**2 - 175*i + 30 = 0.
-6, -1, 1/5, 1
Let 4*p**4 - 68*p**3 - 72*p**2 = 0. Calculate p.
-1, 0, 18
Let -14*d**4/9 + 80*d**3/9 + 38*d**2/9 - 80*d/9 - 8/3 = 0. What is d?
-1, -2/7, 1, 6
Solve -2*r**2/19 - 12*r/19 - 10/19 = 0 for r.
-5, -1
Factor 2*u**2/7 + 29*u/7 - 66/7.
(u - 2)*(2*u + 33)/7
Let -k**4/6 + k**2 + 4*k/3 + 1/2 = 0. Calculate k.
-1, 3
Factor 5*f**2 + 33730*f + 56885645.
5*(f + 3373)**2
Factor 4*q**2 + 216*q + 980.
4*(q + 5)*(q + 49)
Factor -y**4/4 + 43*y**3/2 + 90*y**2.
-y**2*(y - 90)*(y + 4)/4
Find j, given that 3*j**2 + 261*j + 258 = 0.
-86, -1
Solve -5*j**4/6 + 10*j**3/3 + 15*j**2/2 - 40*j/3 - 50/3 = 0.
-2, -1, 2, 5
Find l, given that -l**3/3 + 203*l**2/3 - 800*l/3 + 796/3 = 0.
2, 199
Factor -5*g**3/6 + 9*g**2/2 - 5*g/3.
-g*(g - 5)*(5*g - 2)/6
What is o in -4*o**3 - 52*o**2 + 208*o + 256 = 0?
-16, -1, 4
Factor r**4/5 - 26*r**3/5 + 249*r**2/5 - 208*r + 320.
(r - 8)**2*(r - 5)**2/5
Factor -3*p**2 + 240*p - 4800.
-3*(p - 40)**2
Factor o**2/2 - 32*o + 63/2.
(o - 63)*(o - 1)/2
Solve -2*i**3/15 + 34*i**2/15 - 62*i/15 + 2 = 0 for i.
1, 15
Determine l, given that -2*l**3/7 - 23*l**2/7 - 65*l/7 = 0.
-13/2, -5, 0
Find d, given that 18*d**4/13 + 150*d**3/13 + 38*d**2/13 - 6*d + 16/13 = 0.
-8, -1, 1/3
Factor -6*z**4/23 - 94*z**3/23 - 352*z**2/23 + 128*z/23.
-2*z*(z + 8)**2*(3*z - 1)/23
Let 2*o**3/7 + 360*o**2/7 - 2*o/7 - 360/7 = 0. Calculate o.
-180, -1, 1
Find r, given that r**3/3 + 4*r**2 - 43*r/3 + 10 = 0.
-15, 1, 2
Factor -2*j**2 + 906*j/5 + 364/5.
-2*(j - 91)*(5*j + 2)/5
Factor 4*t**2/3 + 20*t/3 + 8.
4*(t + 2)*(t + 3)/3
Factor -4*b**4 + 76*b**3 - 372*b**2 + 20*b + 2200.
-4*(b - 11)*(b - 5)**2*(b + 2)
Find j, given that j**3/2 - 27*j**2/2 - 17*j + 84 = 0.
-3, 2, 28
Factor -11*k**2/4 + 337*k/4 + 87.
-(k + 1)*(11*k - 348)/4
Solve j**5/7 - 5*j**4/7 + 4*j**3/7 = 0.
0, 1, 4
Let -5*z**3 + 115*z**2 + 250*z = 0. Calculate z.
-2, 0, 25
Let -5*k**5 + 35*k**4 - 5*k**3 - 135*k**2 - 90*k = 0. What is k?
-1, 0, 3, 6
Factor -3*j**4 - 2*j**3 + 3*j**2 + 2*j.
-j*(j - 1)*(j + 1)*(3*j + 2)
Solve 2*z**3/5 - 8*z**2/5 + 6*z/5 = 0.
0, 1, 3
Factor -l**4/2 + 3*l**3/2 + 61*l**2 + 210*l + 196.
-(l - 14)*(l + 2)**2*(l + 7)/2
Solve 3*f**5 - 33*f**4 + 102*f**3 - 42*f**2 - 105*f + 75 = 0 for f.
-1, 1, 5
Solve -5*j**5/2 - 37*j**4/2 + 211*j**3/2 + 2465*j**2/2 + 2975*j + 1000 = 0.
-5, -2/5, 8
Suppose -5*h**4 + 320*h**3 - 6345*h**2 + 36450*h = 0. Calculate h.
0, 10, 27
Solve -25*a**5 + 310*a**4 + 1904*a**3 + 902*a**2 - 599*a + 68 = 0 for a.
-4, -1, 1/5, 17
Factor g**3/8 - 81*g**2/8 + 189*g + 1323/2.
(g - 42)**2*(g + 3)/8
Factor 2*z**3/5 - 66*z**2/5 - 138*z/5 - 14.
2*(z - 35)*(z + 1)**2/5
Find r, given that -2*r**2 - 324*r - 322 = 0.
-161, -1
Suppose -98*y**2/9 - 3892*y/9 - 38642/9 = 0. What is y?
-139/7
Let -4*r**4 + 780*r**3 - 3832*r**2 + 6096*r - 3040 = 0. Calculate r.
1, 2, 190
Factor 3*u**3/2 + 2433*u**2/2 - 4875*u/2 + 2439/2.
3*(u - 1)**2*(u + 813)/2
What is y in 5*y**3 - 60*y**2 + 100*y = 0?
0, 2, 10
Factor -o**2/2 - o + 3/2.
-(o - 1)*(o + 3)/2
What is j in 5*j**5/4 - 5*j**4/4 - 5*j**3/4 + 5*j**2/4 = 0?
-1, 0, 1
Factor 2*p**4 - 38*p**3 - 126*p**2 - 130*p - 44.
2*(p - 22)*(p + 1)**3
Factor 3*v**3 - 15*v**2 - 291*v - 273.
3*(v - 13)*(v + 1)*(v + 7)
Factor 3*q**2 + 324*q + 8748.
3*(q + 54)**2
Determine k, given that 2*k**2/15 - 2164*k/15 + 585362/15 = 0.
541
Find f such that 2*f**4/7 + 10*f**3/7 + 18*f**2/7 + 2*f + 4/7 = 0.
-2, -1
What is j in 2*j**5/11 - 20*j**3/11 + 40*j**2/11 - 30*j/11 + 8/11 = 0?
-4, 1
Factor t**4 + 27*t**3 - 189*t**2 + 293*t - 132.
(t - 4)*(t - 1)**2*(t + 33)
Solve 3*z**5/7 + 111*z**4/7 + 213*z**3/7 + 15*z**2 = 0 for z.
-35, -1, 0
Factor -6*d**2/11 - 342*d/11 - 336/11.
-6*(d + 1)*(d + 56)/11
Find c such that 3*c**4 - 12*c**2 = 0.
-2, 0, 2
Determine k so that 4*k**4 + 16*k**3 + 16*k**2 = 0.
-2, 0
What is y in y**2/2 - 9*y/2 - 35 = 0?
-5, 14
Determine j, given that -23*j**4/10 + 113*j**3/10 + 74*j**2/5 + 6*j/5 = 0.
-1, -2/23, 0, 6
Factor -o**3 + 9*o**2 + 10*o.
-o*(o - 10)*(o + 1)
What is j in 5*j**3 - 30*j**2 + 25*j = 0?
0, 1, 5
Factor 3*b**3 + 54*b**2 + 33*b - 306.
3*(b - 2)*(b + 3)*(b + 17)
Solve -3*y**5 - 17*y**4 + 27*y**3 - 7*y**2 = 0 for y.
-7, 0, 1/3, 1
Suppose -3*i**2 + 3 = 0. Calculate i.
-1, 1
Find q, given that 2*q**5/11 - 8*q**4/11 - 54*q**3/11 - 76*q**2/11 - 32*q/11 = 0.
-2, -1, 0, 8
Suppose 4*z**3/5 - 24*z**2/5 + 9*z - 27/5 = 0. Calculate z.
3/2, 3
Factor -4*r**3 - 276*r**2 - 1052*r - 780.
-4*(r + 1)*(r + 3)*(r + 65)
Let 3*z**2/4 - 576*z - 2307/4 = 0. What is z?
-1, 769
Factor -5*v**5 - 90*v**4.
-5*v**4*(v + 18)
Solve 4*a**3 - 32*a**2 + 48*a = 0.
0, 2, 6
Determine v, given that -3*v**3/4 - 3*v**2/2 = 0.
-2, 0
Factor x**5/4 + x**4/4 - 5*x**3/4 + 3*x**2/4.
x**2*(x - 1)**2*(x + 3)/4
Factor 3*g**4/4 - 681*g**3/2 + 155943*g**2/4 - 76953*g + 38307.
3*(g - 226)**2*(g - 1)**2/4
Suppose 2*k**5/11 + 56*k**4/11 + 102*k**3/11 - 56*k**2/11 - 104*k/11 = 0. What is k?
-26, -2, -1, 0, 1
Factor 3*g**4 - 44*g**3 + 174*g**2 - 84*g - 49.
(g - 7)**2*(g - 1)*(3*g + 1)
Solve 4*l**3/7 - 24*l**2 + 336*l - 1568 = 0.
14
Solve -58*b**2/3 + 18*b + 4/3 = 0 for b.
-2/29, 1
Determine t so that -8*t**2/17 - 2646*t/17 + 662/17 = 0.
-331, 1/4
Factor -2*r**2/17 + 492*r/17 - 30258/17.
-2*(r - 123)**2/17
Le