*3/3 - 54*a**2 - 116*a/3 - 16/3 = 0. What is a?
-1/4, 2, 4
Factor -i**2/9 - 2*i/9 + 8/9.
-(i - 2)*(i + 4)/9
Factor 2*t**4 + 8*t**3 - 6*t**2 - 36*t.
2*t*(t - 2)*(t + 3)**2
Factor -2*w**3/15 - 38*w**2/15 - 12*w/5.
-2*w*(w + 1)*(w + 18)/15
Solve q**4 + 37*q**3 + 248*q**2 + 464*q = 0.
-29, -4, 0
Let 3*i**2/4 - 189*i/2 - 390 = 0. What is i?
-4, 130
Factor -18*o**2 - 394*o + 44.
-2*(o + 22)*(9*o - 1)
Factor -3*u**2/5 - 1638*u/5 - 223587/5.
-3*(u + 273)**2/5
Find m, given that -4*m**5/3 + 110*m**4 - 478*m**3 + 2362*m**2/3 - 574*m + 156 = 0.
1, 3/2, 78
Factor -4*r**2/3 - 32*r - 476/3.
-4*(r + 7)*(r + 17)/3
Determine k so that k**3/7 - 285*k**2/7 - 6000*k/7 - 30500/7 = 0.
-10, 305
Suppose 2*v**3/7 - 16*v**2 - 1560*v/7 - 4896/7 = 0. What is v?
-6, 68
Determine w so that -2*w**5 - 120*w**4 + 248*w**3 - 4*w**2 - 246*w + 124 = 0.
-62, -1, 1
Factor -z**4 + 60*z**3 - 958*z**2 + 1740*z - 841.
-(z - 29)**2*(z - 1)**2
Suppose 4*b**4 + 16*b**3 + 12*b**2 = 0. What is b?
-3, -1, 0
Factor -3*s**2 - 156*s - 2028.
-3*(s + 26)**2
Let 4*o**5 + 76*o**4 + 388*o**3 + 180*o**2 - 648*o = 0. What is o?
-9, -2, 0, 1
Find p, given that -2*p**2/5 + 228*p - 4528/5 = 0.
4, 566
Suppose -2*f**4 + 52*f**3 + 114*f**2 - 52*f - 112 = 0. Calculate f.
-2, -1, 1, 28
Solve b**5/12 + 5*b**4/4 + 35*b**3/12 - 5*b**2/4 - 3*b = 0 for b.
-12, -3, -1, 0, 1
Determine v so that -4*v**3/5 + 36*v**2 + 784*v/5 = 0.
-4, 0, 49
Determine n so that -15*n**3 + 230*n**2 - 75*n = 0.
0, 1/3, 15
Solve -11*t**4/5 - 37*t**3 - 307*t**2/5 - 103*t/5 + 6 = 0 for t.
-15, -1, 2/11
Factor -p**2/7 - 183*p/7 + 558/7.
-(p - 3)*(p + 186)/7
Factor 2*w**2/9 - 2/9.
2*(w - 1)*(w + 1)/9
What is d in -d**3/4 - d**2/4 + d + 1 = 0?
-2, -1, 2
Determine s so that 4*s**3 - 1184*s**2 + 87616*s = 0.
0, 148
Let -3*z**2 + 27*z - 54 = 0. What is z?
3, 6
Factor -2*u**3/5 + 1770*u**2 - 2610750*u + 1283618750.
-2*(u - 1475)**3/5
Factor 3*x**3/4 - 15*x**2/8 - 3*x/2 + 9/2.
3*(x - 2)**2*(2*x + 3)/8
Determine j, given that 12*j**5 - 16*j**4 - 12*j**3 + 16*j**2 = 0.
-1, 0, 1, 4/3
Determine k so that 2*k**4/5 - 13*k**3/5 + 28*k**2/5 - 23*k/5 + 6/5 = 0.
1/2, 1, 2, 3
Factor m**3/9 + 29*m**2/9 + 224*m/9 + 196/9.
(m + 1)*(m + 14)**2/9
What is d in -d**3/7 + 67*d**2/7 - 591*d/7 + 171 = 0?
3, 7, 57
Factor -k**3/9 + 16*k**2/9 + 529*k/9 - 544/9.
-(k - 32)*(k - 1)*(k + 17)/9
Factor 18*b**3/7 - 10*b**2 + 64*b/7 + 8/7.
2*(b - 2)**2*(9*b + 1)/7
Factor -2*a**3/21 - 40*a**2/21 - 34*a/3 - 440/21.
-2*(a + 4)*(a + 5)*(a + 11)/21
Solve c**2/2 + 6*c + 16 = 0.
-8, -4
Find v, given that -2*v**5/13 + 236*v**4/13 + 12*v**3/13 - 1400*v**2/13 - 1882*v/13 - 708/13 = 0.
-1, 3, 118
Solve 5*j**3 + 5*j**2 - 25*j + 15 = 0 for j.
-3, 1
Suppose -3*t**5 + 6*t**3 - 3*t = 0. What is t?
-1, 0, 1
Suppose -2*i**2/3 + 668*i = 0. What is i?
0, 1002
Solve c**3/2 - 2535*c**2/2 + 2142075*c/2 - 603351125/2 = 0.
845
Let 2*z**2/7 + 6*z/7 - 8 = 0. What is z?
-7, 4
Factor m**2/3 - 2765*m/3.
m*(m - 2765)/3
Find c, given that -c**2 - 34*c + 152 = 0.
-38, 4
Find c, given that 5*c**4 + 115*c**3 - 35*c**2 - 775*c + 690 = 0.
-23, -3, 1, 2
Let -5*z**3 - 4525*z**2 - 1030535*z - 3051015 = 0. Calculate z.
-451, -3
Factor x**4/6 + 7*x**3/6 - 5*x**2/3 - 8*x/3.
x*(x - 2)*(x + 1)*(x + 8)/6
Factor 2*f**4 + 3198*f**3 + 1704534*f**2 + 302838874*f.
2*f*(f + 533)**3
Suppose -4*k**4 + 48*k**3 + 56*k**2 - 48*k - 52 = 0. Calculate k.
-1, 1, 13
Factor -u**2/3 - 112*u.
-u*(u + 336)/3
Factor f**4/2 + 174*f**3 - 699*f**2/2 + 175*f.
f*(f - 1)**2*(f + 350)/2
Factor -2*a**2 - 40*a - 192.
-2*(a + 8)*(a + 12)
Determine j so that j**2/5 + 5838*j/5 + 8520561/5 = 0.
-2919
Let 5*i**3 + 170*i**2 + 620*i + 600 = 0. What is i?
-30, -2
Let -4*h**5/3 + 98*h**4/3 + 56*h**3/3 - 148*h**2/3 - 52*h/3 + 50/3 = 0. What is h?
-1, 1/2, 1, 25
Factor -2*d**4/9 - 16*d**3/9 + 22*d**2/3.
-2*d**2*(d - 3)*(d + 11)/9
Let 3*m**2/2 + 324*m + 17496 = 0. What is m?
-108
Suppose 3*b**2/2 + 351*b - 705/2 = 0. Calculate b.
-235, 1
Let -3*b**2/2 - 141*b/2 - 69 = 0. What is b?
-46, -1
Factor -2*v**2/17 + 160*v/17.
-2*v*(v - 80)/17
Factor 5*j**2 - 200*j - 645.
5*(j - 43)*(j + 3)
Factor -z**2 - 11667*z/5 - 4666/5.
-(z + 2333)*(5*z + 2)/5
Find y such that y**5/3 + 26*y**4/3 - 39*y**3 + 94*y**2/3 + 116*y/3 - 40 = 0.
-30, -1, 1, 2
Factor -p**3/5 - 57*p**2/5.
-p**2*(p + 57)/5
Factor -h**4 + 6*h**2 - 8*h + 3.
-(h - 1)**3*(h + 3)
Let -c**4/2 + 35*c**3/2 - 149*c**2 + 132*c = 0. Calculate c.
0, 1, 12, 22
Determine s, given that -2*s**4 - 12*s**3 + 44*s - 30 = 0.
-5, -3, 1
Determine k so that 3*k**4 - 381*k**3 = 0.
0, 127
Solve -i**3 + 16*i**2 - 29*i - 130 = 0.
-2, 5, 13
Solve -l**4/2 + 38*l**3 - 714*l**2 = 0.
0, 34, 42
Solve -2*b**5/7 + 764*b**4/7 + 3852*b**3/7 + 6952*b**2/7 + 5414*b/7 + 1548/7 = 0 for b.
-2, -1, 387
Let -2*s**2/5 + 14*s/5 + 88/5 = 0. What is s?
-4, 11
Factor -y**3 + 596*y**2 - 88205*y - 178802.
-(y - 299)**2*(y + 2)
Solve -5*g**5 - 360*g**4 + 15*g**3 + 1090*g**2 + 720*g = 0.
-72, -1, 0, 2
Find t such that 4*t**5/3 + 9*t**4 + 29*t**3/3 - 37*t**2/3 - 11*t + 10/3 = 0.
-5, -2, -1, 1/4, 1
Let 45*o**2/8 - 291*o/2 - 39/2 = 0. Calculate o.
-2/15, 26
Factor 26*p**3/3 + 224*p**2 - 104*p/3.
2*p*(p + 26)*(13*p - 2)/3
Find a such that -2*a**3 + 68*a**2/9 - 56*a/9 - 16/9 = 0.
-2/9, 2
Find x, given that -2*x**2/3 + 292*x - 31974 = 0.
219
Determine m so that -28*m**2 + 340*m - 312 = 0.
1, 78/7
Factor c**2/4 + 11*c/4 + 9/2.
(c + 2)*(c + 9)/4
Factor -2*f**4/3 - 2*f**3 + 8*f/3.
-2*f*(f - 1)*(f + 2)**2/3
Suppose -2*g**4 + 2*g**3 + 4*g**2 = 0. Calculate g.
-1, 0, 2
Factor 2*h**5 - 4*h**3 + 2*h.
2*h*(h - 1)**2*(h + 1)**2
What is y in -4*y**5 + 80*y**4 - 48*y**3 - 584*y**2 + 1012*y - 456 = 0?
-3, 1, 2, 19
Factor 2*t**2/11 + 18*t/11 - 4.
2*(t - 2)*(t + 11)/11
Factor -p**2 + 982*p + 1968.
-(p - 984)*(p + 2)
Find n, given that -n**2/2 - 24*n - 288 = 0.
-24
Factor 729*b**4 - 4617*b**3 + 1485*b**2 - 163*b + 6.
(b - 6)*(9*b - 1)**3
Find b such that 3*b**5/8 - 41*b**4/4 + 133*b**3/2 + 49*b**2 = 0.
-2/3, 0, 14
Factor 2*x**2/3 + 2*x - 36.
2*(x - 6)*(x + 9)/3
Solve 2*x**4 - 18*x**3 - 68*x**2 - 48*x = 0 for x.
-2, -1, 0, 12
Factor -4*h**2/9 - 5528*h/9 - 1909924/9.
-4*(h + 691)**2/9
Factor 2*b**2/17 + 18*b/17 + 36/17.
2*(b + 3)*(b + 6)/17
What is j in 2*j**5/15 + 8*j**4/5 + 92*j**3/15 + 8*j**2 + 10*j/3 = 0?
-5, -1, 0
Determine s so that 4*s**4/5 - 842*s**3/5 - 422*s**2/5 = 0.
-1/2, 0, 211
Determine h so that -h**3/5 + 1647*h**2/5 - 677328*h/5 - 678976/5 = 0.
-1, 824
Find a such that 7*a**3 - 1139*a**2 - 2636*a - 660 = 0.
-2, -2/7, 165
Solve -8*b**5/7 + 272*b**4/7 - 2306*b**3/7 - 202*b**2/7 + 238*b + 578/7 = 0.
-1/2, 1, 17
Factor -2*b**2 - 24*b - 72.
-2*(b + 6)**2
Factor -8*t**2/5 - 38*t + 48/5.
-2*(t + 24)*(4*t - 1)/5
Factor t**5/2 - 4*t**4/5 - 2*t**3/5.
t**3*(t - 2)*(5*t + 2)/10
Find x such that -5*x**4 - 2925*x**3 - 429240*x**2 - 426320*x = 0.
-292, -1, 0
Factor 5*p**3 - 15*p**2 - 5*p + 15.
5*(p - 3)*(p - 1)*(p + 1)
Factor -3*z**5 - 9*z**4 + 18*z**3 + 30*z**2 - 63*z + 27.
-3*(z - 1)**3*(z + 3)**2
Factor -n**4/8 + 7*n**3/8 - n**2 - 2*n.
-n*(n - 4)**2*(n + 1)/8
Solve 4*h**5 + 16*h**4 + 8*h**3 - 16*h**2 - 12*h = 0.
-3, -1, 0, 1
Suppose -d**4 - 15*d**3 - 27*d**2 - 13*d = 0. What is d?
-13, -1, 0
Suppose -4*c**4 - 140*c**3 - 452*c**2 + 1340*c - 744 = 0. Calculate c.
-31, -6, 1
Factor -4*o**2 + 5364*o - 5360.
-4*(o - 1340)*(o - 1)
Factor 2*y**2 - 38*y + 140.
2*(y - 14)*(y - 5)
Suppose w**3/9 - 1519*w**2/9 - 3041*w/9 - 169 = 0. What is w?
-1, 1521
Solve 4*r**5 + 48*r**4 - 116*r**3 - 48*r**2 + 112*r = 0.
-14, -1, 0, 1, 2
Factor -10*f**5 - 534*f**4 - 212*f**3.
-2*f**3*(f + 53)*(5*f + 2)
Factor 2*v**4/9 + 2*v**3 - 2*v**2/3 - 50*v/9 + 4.
2*(v - 1)**2*(v + 2)*(v + 9)/9
Let -g**5/2 + 14*g**4 - 91*g**3/2 - 60*g**2 = 0. What is g?
-1, 0, 5, 24
Suppose -o**2/2 + 210*o + 1278 = 0. Calculate o.
-6, 426
Let -l**3/2 + 11*l**2 + 197*l/2 + 87 = 0. Calculate l.
-6, -1, 29
Solve 28*p**4/5 - 316*p**3/5 + 1068*p**2/5 - 196*p + 40 = 0 for p.
2/7, 1, 5
Determine p, given that -16*p**5 - 36*p**4 + 248*p**3 + 96*p**2 - 232*p - 60 = 0.
-5, -1, -1/4, 1, 3
Factor 3*z**3 - 72*z**2 - 75*z.
3*z*(z - 25)*(z + 1)
Factor -3*t**3 - 33*t**2 - 84*t.
-3*t*(t + 4)*(t + 7)
What is k in k**2/6 - 8*k/3 - 161/6 = 0?
-7, 23
Find y such that 16*y**4/9 + 4*y**3 - 122*y**2/9 - 4*y + 16/9 = 0.
-4, -1/2, 1/4, 2
Factor 29*w**2 + 176*