*2/11 + 122*u/11 + 72/11.
(u - 18)*(u - 4)*(u + 1)**2/11
Factor x**4/4 + 9*x**3/4 + 3*x**2/2 - 4*x.
x*(x - 1)*(x + 2)*(x + 8)/4
Factor 13*q**2/3 - 172*q/3 + 13.
(q - 13)*(13*q - 3)/3
Factor -4*v**3 + 40*v**2 + 44*v.
-4*v*(v - 11)*(v + 1)
Factor 16*w**3/7 - 324*w**2/7 + 80*w/7.
4*w*(w - 20)*(4*w - 1)/7
Suppose p**4 + p**3 - 6*p**2 - 4*p + 8 = 0. Calculate p.
-2, 1, 2
Suppose 4*q**4 + 4*q**3 - 12*q**2 - 4*q + 8 = 0. Calculate q.
-2, -1, 1
Factor -4*i**2 + 48*i - 108.
-4*(i - 9)*(i - 3)
Factor 5*y**3 + 5*y**2 - 425*y + 1375.
5*(y - 5)**2*(y + 11)
Factor 2*o**3 - 106*o**2/3 - 92*o - 80/3.
2*(o - 20)*(o + 2)*(3*o + 1)/3
Suppose 2*a**4/9 - 8*a**3 + 68*a**2/3 - 200*a/9 + 22/3 = 0. What is a?
1, 33
What is f in 3*f**4/5 - 14*f**3/5 + 8*f**2/5 = 0?
0, 2/3, 4
Factor -u**2/3 + 19*u/3 + 14.
-(u - 21)*(u + 2)/3
Factor -6*r**2 + 261*r + 132.
-3*(r - 44)*(2*r + 1)
Find b such that 5*b**3 - 470*b**2 + 14525*b - 147000 = 0.
24, 35
Factor 2*w**4/7 + 24*w**3/7 - 90*w**2/7.
2*w**2*(w - 3)*(w + 15)/7
Suppose 4*x**2 - 756*x + 1496 = 0. What is x?
2, 187
Determine g, given that 2*g**4/7 + 40*g**3/7 + 104*g**2/7 - 960*g/7 + 1152/7 = 0.
-12, 2
Factor 2*v**3 + 32*v**2.
2*v**2*(v + 16)
Let 7*a**3 - 37*a**2 + 38*a - 8 = 0. Calculate a.
2/7, 1, 4
Solve -2*y**2/7 + 12*y/7 = 0 for y.
0, 6
Factor 16*l**3 - 212*l**2 + 52*l.
4*l*(l - 13)*(4*l - 1)
Determine q so that 2*q**4/3 - 4*q**3/3 - 8*q**2/3 + 4*q/3 + 2 = 0.
-1, 1, 3
Determine a, given that -75*a**2 - 41130*a - 5638923 = 0.
-1371/5
Let -2*p**2 + 2592 = 0. What is p?
-36, 36
Find c, given that 4*c**4 + 4420*c**3 + 1625076*c**2 + 197705772*c - 401947272 = 0.
-369, 2
Find t such that -4*t**2 - 60*t + 616 = 0.
-22, 7
Find f such that 5*f**2 + 295*f - 5110 = 0.
-73, 14
Let -6*n**4/11 + 1190*n**3/11 + 796*n**2/11 = 0. What is n?
-2/3, 0, 199
Determine q, given that 3*q**4/4 + 30*q**3 - 651*q**2/4 + 267*q - 135 = 0.
-45, 1, 2
Suppose p**4/2 - 93*p**3/2 - 289*p**2/2 + 93*p/2 + 144 = 0. What is p?
-3, -1, 1, 96
Find f, given that 5*f**4 - 145*f**3 + 400*f**2 - 260*f = 0.
0, 1, 2, 26
Determine g, given that -5*g**3 - 140*g**2 + 145*g = 0.
-29, 0, 1
Find x, given that 4*x**5 + 4*x**4 - 8*x**3 = 0.
-2, 0, 1
Factor 4*n**3 - 8832*n**2 + 6500352*n - 1594753024.
4*(n - 736)**3
Factor 3*u**4 - 99*u**3 - 432*u**2 - 444*u.
3*u*(u - 37)*(u + 2)**2
Factor 2*z**3 + 232*z**2 + 226*z - 460.
2*(z - 1)*(z + 2)*(z + 115)
Factor -10*q**3 + 626*q**2 - 982*q + 366.
-2*(q - 61)*(q - 1)*(5*q - 3)
Factor 2*x**2/21 + 142*x/21.
2*x*(x + 71)/21
Determine h, given that 4*h**4/7 + 24*h**3/7 + 16*h**2/7 - 24*h/7 - 20/7 = 0.
-5, -1, 1
Factor w**5 - 9*w**4 + 28*w**3 - 36*w**2 + 16*w.
w*(w - 4)*(w - 2)**2*(w - 1)
Determine f so that -f**5/5 + f**4 - 3*f**3/5 - f**2 + 4*f/5 = 0.
-1, 0, 1, 4
Solve -132*t**3 + 1184*t**2 - 1020*t - 32 = 0 for t.
-1/33, 1, 8
Factor -2*m**3 - 28*m**2 + 554*m - 1820.
-2*(m - 7)*(m - 5)*(m + 26)
Find x, given that 3*x**3/7 + 27*x**2/7 = 0.
-9, 0
Factor -9*m**3 - 2981*m**2 - 6584*m - 1316.
-(m + 2)*(m + 329)*(9*m + 2)
Factor 5*o**2 + 4730*o + 9440.
5*(o + 2)*(o + 944)
Let 3*b**2 - 30*b - 72 = 0. Calculate b.
-2, 12
Find y, given that y**5/6 - 7*y**4/2 + 19*y**3 + 10*y**2/3 - 100*y = 0.
-2, 0, 3, 10
Solve -4*s**5 + 48*s**4 + 52*s**3 = 0.
-1, 0, 13
Find n, given that -3*n**5 + 45*n**4 - 231*n**3 + 507*n**2 - 486*n + 168 = 0.
1, 2, 4, 7
Factor -25*y**3 - 490*y**2 - 2300*y + 1000.
-5*(y + 10)**2*(5*y - 2)
Determine n so that -n**3/4 + 41*n**2/4 + 55*n/2 - 258 = 0.
-6, 4, 43
Factor -5*k**2 - 200*k + 205.
-5*(k - 1)*(k + 41)
Let 4*g**3 + 16*g**2 - 4*g - 16 = 0. What is g?
-4, -1, 1
Let 3*k**3/5 - 42*k**2/5 + 21*k - 66/5 = 0. What is k?
1, 2, 11
Find a such that 4*a**4/5 - 24*a**3/5 + 9*a**2 - 29*a/5 + 6/5 = 0.
1/2, 2, 3
Factor -j**2/4 - 10*j - 39/4.
-(j + 1)*(j + 39)/4
Find s, given that -5*s**3 + 155*s**2 - 1120*s - 1280 = 0.
-1, 16
Factor 3*u**3 - 14*u**2 - 7*u + 10.
(u - 5)*(u + 1)*(3*u - 2)
Factor i**3 - 28*i**2 + 221*i - 338.
(i - 13)**2*(i - 2)
Solve -6*c**3 + 178*c**2 - 1290*c - 450 = 0 for c.
-1/3, 15
Suppose w**5/7 - 9*w**4/7 - 211*w**3/7 - 191*w**2/7 + 30*w + 200/7 = 0. What is w?
-10, -1, 1, 20
Suppose 5*y**4 + 5*y**3 - 30*y**2 - 20*y + 40 = 0. Calculate y.
-2, 1, 2
Factor -2*r**2/7 - 356*r/7 - 15842/7.
-2*(r + 89)**2/7
Find v such that -5*v**2 - 5230*v - 1367645 = 0.
-523
Factor -10*z**2 + 6135*z - 3065.
-5*(z - 613)*(2*z - 1)
Determine p so that 4*p**5 - 4*p**4 - 84*p**3 + 4*p**2 + 80*p = 0.
-4, -1, 0, 1, 5
Find k, given that -2*k**3/3 - 4*k**2 - 22*k/3 - 4 = 0.
-3, -2, -1
Solve o**4/3 - 2*o**3 + 3*o**2 = 0 for o.
0, 3
Solve 2*t**3/5 + 2*t**2/5 - 4*t + 16/5 = 0.
-4, 1, 2
Factor 5*x**5/4 - 15*x**4/4 - 5*x**3 + 20*x**2 - 20.
5*(x - 2)**3*(x + 1)*(x + 2)/4
Find m, given that -1105*m**2/4 - 3295*m/4 + 15 = 0.
-3, 4/221
Solve -3*s**5/4 + 39*s**4/2 - 153*s**3/2 - 60*s**2 + 1101*s/4 - 315/2 = 0.
-2, 1, 5, 21
Factor -3*q**5/7 + 75*q**4/7 - 141*q**3/7 + 69*q**2/7.
-3*q**2*(q - 23)*(q - 1)**2/7
Factor -4*i**3 - 33*i**2 - 8*i.
-i*(i + 8)*(4*i + 1)
Solve c**5/6 + 5*c**4/6 + c**3/2 - 5*c**2/6 - 2*c/3 = 0.
-4, -1, 0, 1
Solve -3*x**3 + 258*x**2 - 753*x + 498 = 0 for x.
1, 2, 83
Factor 3*f**2 - 432*f.
3*f*(f - 144)
Determine x so that x**2/2 + 25*x - 819/2 = 0.
-63, 13
Find u such that u**4/2 - 7*u**3 + 47*u**2/2 - 5*u - 36 = 0.
-1, 2, 4, 9
Factor i**4 + 11*i**3 + 33*i**2 + 5*i - 50.
(i - 1)*(i + 2)*(i + 5)**2
Suppose 4*v**4/3 + 32*v**3 + 176*v**2/3 = 0. What is v?
-22, -2, 0
Find w, given that w**4 + 468*w**3 + 1861*w**2 + 2322*w + 928 = 0.
-464, -2, -1
Factor -2*t**2/3 + 5248*t - 10328064.
-2*(t - 3936)**2/3
Determine k, given that -2*k**5/3 - 16*k**4/9 + 20*k**2/9 + 2*k/3 - 4/9 = 0.
-2, -1, 1/3, 1
Let 4*s**2/7 - 248*s/7 = 0. Calculate s.
0, 62
Find h such that 3*h**3/2 - 651*h**2/2 + 34989*h/2 + 35643/2 = 0.
-1, 109
Solve -2*v**3/11 - 122*v**2/11 + 18*v/11 + 1098/11 = 0.
-61, -3, 3
Let 3*r**2 + 1314*r - 1317 = 0. Calculate r.
-439, 1
Factor 2*z**5 + 48*z**4 + 340*z**3 + 752*z**2 + 666*z + 208.
2*(z + 1)**3*(z + 8)*(z + 13)
Let 4*f**5 - 64*f**4 + 284*f**3 - 224*f**2 = 0. Calculate f.
0, 1, 7, 8
Find n, given that 4*n**4 + 448*n**3 + 12540*n**2 - 448*n - 12544 = 0.
-56, -1, 1
Factor -3*q**2/4 + 39*q/2 - 507/4.
-3*(q - 13)**2/4
Solve -x**5/3 + 94*x**4/9 - 338*x**3/9 - 364*x**2/9 + 341*x/9 + 30 = 0.
-1, -2/3, 1, 5, 27
Factor -2*r**2 - 19100*r - 45601250.
-2*(r + 4775)**2
Factor 4*m**3 - 28*m**2 - 644*m - 612.
4*(m - 17)*(m + 1)*(m + 9)
Suppose 2*r**4 + 6*r**3 - 14*r**2 - 54*r - 36 = 0. What is r?
-3, -2, -1, 3
Factor 2*w**2/5 - 10*w + 60.
2*(w - 15)*(w - 10)/5
Factor -a**5/4 - 3799*a**4/4 - 1352800*a**3 - 856021250*a**2 - 202769187500*a + 203626562500.
-(a - 1)*(a + 950)**4/4
Factor -c**4 + 38*c**3 - 336*c**2 + 1098*c - 1215.
-(c - 27)*(c - 5)*(c - 3)**2
Determine s, given that 4*s**3 + 64*s**2 + 316*s + 480 = 0.
-8, -5, -3
Let 2*m**3/3 + 124*m**2/3 + 230*m + 336 = 0. Calculate m.
-56, -3
Factor -2*j**3/7 + 66*j**2/7 - 342*j/7 - 3610/7.
-2*(j - 19)**2*(j + 5)/7
Factor -2*i**3/19 - 68*i**2/19 - 530*i/19 - 1200/19.
-2*(i + 5)**2*(i + 24)/19
Determine f, given that -64*f**4/5 + 32*f**3/5 + 460*f**2 - 1152*f/5 + 144/5 = 0.
-6, 1/4, 6
Find o, given that 5*o**2/2 + 59*o - 24 = 0.
-24, 2/5
Find d, given that 4*d**4 + 32*d**3 - 180*d**2 + 144*d = 0.
-12, 0, 1, 3
Factor -12*l**2 + 15465*l + 3867.
-3*(l - 1289)*(4*l + 1)
Suppose z**4/3 + 13*z**3/3 + 53*z**2/3 + 83*z/3 + 14 = 0. What is z?
-7, -3, -2, -1
Let -4*d**2/5 - 32*d = 0. Calculate d.
-40, 0
Let 5*w**2 + 195*w + 370 = 0. Calculate w.
-37, -2
Suppose -3*o**5/2 + 7*o**4/2 + 39*o**3/2 - 87*o**2/2 + 22*o = 0. What is o?
-11/3, 0, 1, 4
Suppose -f**2/7 + 53*f/7 - 696/7 = 0. Calculate f.
24, 29
Determine u, given that -12*u**4 - 1749*u**3/2 - 32613*u**2/2 - 13500*u + 1944 = 0.
-36, -1, 1/8
Solve -2*c**2 - 1660*c - 344450 = 0.
-415
Solve -2*c**2/3 + 12376*c - 57437016 = 0.
9282
Suppose -m**3/4 - 16*m**2 - 957*m/4 + 1089/2 = 0. Calculate m.
-33, 2
Solve 3*w**2/2 + 21*w + 60 = 0.
-10, -4
What is x in -6*x**5/5 - 2*x**4/5 + 34*x**3/5 - 38*x**2/5 + 12*x/5 = 0?
-3, 0, 2/3, 1
Factor 3*o**3/5 - 54*o**2/5 - 48*o/5 + 864/5.
3*(o - 18)*(o - 4)*(o + 4)/5
Factor 4*b**3 + 236*b**2 - 500*b - 732.
4*(b - 3)*(b + 1)*(b + 61)
Factor 13*b**3/8 - 11*b**2/8 - 7*b/2 - 1/2.
(b - 2)*(b + 1)*(13*b + 2)/8
Solve -16*k**5 - 8*k**