**4 + 88*a**3 - 28*a**2 = 0.
0, 1/2, 1, 7
Factor 4*a**4 + 8*a**3 - 12*a**2 - 16*a + 16.
4*(a - 1)**2*(a + 2)**2
Factor -2*q**4/5 - 3*q**3 + 26*q**2/5 - 9*q/5.
-q*(q - 1)*(q + 9)*(2*q - 1)/5
What is d in d**3/9 + 191*d**2/9 + 9400*d/9 + 8836/3 = 0?
-94, -3
Factor g**2/10 - 178*g/5 + 1059/10.
(g - 353)*(g - 3)/10
Factor 3*o**3 - 6*o**2 - 39*o - 30.
3*(o - 5)*(o + 1)*(o + 2)
Solve -h**5 + 8*h**4 - 20*h**3 + 10*h**2 + 21*h - 18 = 0 for h.
-1, 1, 2, 3
Suppose -2*h**5/3 - 10*h**4/3 - 16*h**3/3 - 8*h**2/3 = 0. What is h?
-2, -1, 0
Factor -3*s**5 - 1821*s**4 - 279048*s**3 - 820836*s**2.
-3*s**2*(s + 3)*(s + 302)**2
Let o**3/7 - 18*o**2/7 + 47*o/7 - 30/7 = 0. What is o?
1, 2, 15
Determine y, given that y**4/4 + 191*y**3/4 - 3*y**2/4 - 575*y/4 - 191/2 = 0.
-191, -1, 2
Suppose 9*k**4 + 42*k**3 - 39*k**2 - 132*k - 60 = 0. Calculate k.
-5, -1, -2/3, 2
What is w in -w**4/10 - 17*w**3/10 + 29*w**2/5 - 4*w = 0?
-20, 0, 1, 2
Factor -2*p**5 - 454*p**4 - 1350*p**3 - 1346*p**2 - 448*p.
-2*p*(p + 1)**3*(p + 224)
What is k in 2*k**4 - 17*k**3/2 - 36*k**2 - 37*k/2 + 7 = 0?
-2, -1, 1/4, 7
Let 2*i**4 + 3072*i**3 - 6154*i**2 - 3072*i + 6152 = 0. Calculate i.
-1538, -1, 1, 2
Find s, given that -4*s**4/5 + 2413*s**3/5 - 603*s**2/5 = 0.
0, 1/4, 603
Factor 2*o**2/3 - 110*o/3 + 344.
2*(o - 43)*(o - 12)/3
Factor x**4/10 - 3*x**3/5 - x**2/10 + 3*x/5.
x*(x - 6)*(x - 1)*(x + 1)/10
Factor -o**3 + 19*o**2 - 55*o - 363.
-(o - 11)**2*(o + 3)
Factor -2*w**3 - 22*w**2 - 68*w - 48.
-2*(w + 1)*(w + 4)*(w + 6)
Find k such that 6*k**3 + 93*k**2 - 150*k + 51 = 0.
-17, 1/2, 1
Determine u so that u**4/6 + 2*u**3/3 - u**2/2 - 5*u/3 + 4/3 = 0.
-4, -2, 1
Factor x**3/2 - 27*x**2 + 153*x/2.
x*(x - 51)*(x - 3)/2
Factor -5*o**2/3 - 445*o/3 + 150.
-5*(o - 1)*(o + 90)/3
Factor -56*d**4/3 - 164*d**3/3 - 40*d**2.
-4*d**2*(2*d + 3)*(7*d + 10)/3
Factor 2*a**5/9 - 50*a**4/3 + 860*a**3/3 + 8660*a**2/9 + 2990*a/3 + 338.
2*(a - 39)**2*(a + 1)**3/9
Let -4*x**4 + 264*x**3 - 6480*x**2 + 69984*x - 279936 = 0. What is x?
12, 18
Factor 96*p**2 - 28*p - 20.
4*(3*p + 1)*(8*p - 5)
Solve -5*l**3 + 1690*l**2 - 141100*l - 289000 = 0.
-2, 170
Solve -25*u**4 + 14605*u**3 - 2134520*u**2 + 426320*u = 0.
0, 1/5, 292
Solve -j**3/3 - 250*j**2/3 - 496*j/3 = 0.
-248, -2, 0
Suppose -2*w**4/9 - 4*w**3/3 + 74*w**2/9 - 20*w/3 = 0. What is w?
-10, 0, 1, 3
Find c, given that 39*c**5/4 - 111*c**4/4 - 213*c**3/4 + 87*c**2/4 + 87*c/2 + 6 = 0.
-1, -2/13, 1, 4
Factor -4*m**4/5 - 56*m**3 - 3988*m**2/5 + 6384*m - 51984/5.
-4*(m - 3)**2*(m + 38)**2/5
Determine b, given that -b**5/2 - 4*b**4 - 11*b**3 - 12*b**2 - 9*b/2 = 0.
-3, -1, 0
Factor -33*w**3 - 30*w**2 + 69*w - 6.
-3*(w - 1)*(w + 2)*(11*w - 1)
Factor t**4/3 + 16*t**3/3 - t**2/3 - 16*t/3.
t*(t - 1)*(t + 1)*(t + 16)/3
Suppose 2*f**4 - 2*f**3 - 80*f**2 + 224*f = 0. What is f?
-7, 0, 4
Factor 28125*c**3 - 9750*c**2 + 1100*c - 40.
5*(15*c - 2)**2*(25*c - 2)
Suppose 4*g**3 - 60*g**2 - 292*g - 228 = 0. What is g?
-3, -1, 19
What is a in -3*a**2/2 - 525*a - 91875/2 = 0?
-175
Determine v, given that 8*v**4 - 68*v**3 + 128*v**2 - 48*v = 0.
0, 1/2, 2, 6
Factor 38*o**3/7 + 110*o**2/7 - 56*o + 40/7.
2*(o - 2)*(o + 5)*(19*o - 2)/7
Factor -87*l**4 - 437*l**3 - 706*l**2 - 364*l - 8.
-(l + 1)*(l + 2)**2*(87*l + 2)
Factor -2*q**3/9 + 20*q**2/3 - 38*q/3 + 56/9.
-2*(q - 28)*(q - 1)**2/9
Factor b**3/8 - 293*b**2/8 + 73*b/2.
b*(b - 292)*(b - 1)/8
Determine o, given that o**4/5 + 1816*o**3/5 + 219978*o**2 + 44508640*o + 44289025 = 0.
-605, -1
Factor -2*x**4 - 4*x**3 + 24*x**2 - 28*x + 10.
-2*(x - 1)**3*(x + 5)
Determine b so that b**4 + 7*b**3 - 9*b**2 - 7*b + 8 = 0.
-8, -1, 1
Determine t, given that -685*t**2/4 + 665*t/4 + 5 = 0.
-4/137, 1
Suppose -l**2/5 + 678*l/5 = 0. What is l?
0, 678
Suppose -14*h**5 + 4756*h**4 + 20554*h**3 + 29536*h**2 + 16504*h + 2752 = 0. Calculate h.
-2, -1, -2/7, 344
Factor -3*y**2/2 + 1155*y/2 - 1149.
-3*(y - 383)*(y - 2)/2
Factor 2*c**2/17 - 50*c/17 - 108/17.
2*(c - 27)*(c + 2)/17
Factor -t**3/2 - 51*t**2/2 - 867*t/2 - 4913/2.
-(t + 17)**3/2
Factor -8*b**2 - 530*b - 132.
-2*(b + 66)*(4*b + 1)
Factor j**3/2 - 9*j**2/2 + 23*j/2 - 15/2.
(j - 5)*(j - 3)*(j - 1)/2
Factor s**2/3 + 65*s + 194/3.
(s + 1)*(s + 194)/3
Factor -l**2/5 + 116*l/5 + 252.
-(l - 126)*(l + 10)/5
Suppose 2*r**5 + 10*r**4 + 12*r**3 - 8*r**2 - 16*r = 0. Calculate r.
-2, 0, 1
What is g in 4*g**3 + 80*g**2 - 16*g - 320 = 0?
-20, -2, 2
Let 10*h**5 - 5*h**4 - 110*h**3 + 235*h**2 - 170*h + 40 = 0. What is h?
-4, 1/2, 1, 2
Solve x**3 - 19*x**2 - 20*x = 0.
-1, 0, 20
Factor d**2/5 - 3*d/5 - 2.
(d - 5)*(d + 2)/5
Factor -4*u**3/9 - 521*u**2/9 + 4*u/9 + 521/9.
-(u - 1)*(u + 1)*(4*u + 521)/9
Determine f so that 2*f**3 + 202*f**2 = 0.
-101, 0
Factor -5*u**5 + 185*u**4 - 350*u**3.
-5*u**3*(u - 35)*(u - 2)
Suppose -4*p**2 + 104*p + 108 = 0. What is p?
-1, 27
Factor 2*c**2/9 + 2*c/3 - 4.
2*(c - 3)*(c + 6)/9
Let 2*m**4 + 26*m**3 - 96*m**2 = 0. Calculate m.
-16, 0, 3
Factor 5*v**2 - 185*v + 800.
5*(v - 32)*(v - 5)
Find v such that 6*v**2 + 74*v + 68 = 0.
-34/3, -1
Suppose 5*w**4 - 41*w**3 - 206*w**2 - 256*w - 96 = 0. Calculate w.
-2, -1, -4/5, 12
Factor a**3/2 - 2*a**2 + 5*a/2 - 1.
(a - 2)*(a - 1)**2/2
Factor 2*i**3/17 + 18*i**2 - 3888*i/17 + 11880/17.
2*(i - 6)**2*(i + 165)/17
Factor 2*k**4/11 + 6*k**3/11 - 54*k**2 + 3402*k/11.
2*k*(k - 9)**2*(k + 21)/11
Factor 4*q**3/5 + 4664*q**2/5 + 27876*q/5 + 8352.
4*(q + 3)**2*(q + 1160)/5
Determine z so that 2592*z**5/17 + 3312*z**4/17 + 626*z**3/17 - 114*z**2/17 - 18*z/17 + 2/17 = 0.
-1, -1/4, 1/9
Factor -9*w**2/4 + 31*w/4 - 3.
-(w - 3)*(9*w - 4)/4
Solve -5*g**2 + 25*g + 120 = 0.
-3, 8
Let -5*h**5 - 15*h**4 + 15*h**3 + 35*h**2 - 30*h = 0. Calculate h.
-3, -2, 0, 1
Solve -3*j**2 - 87*j - 84 = 0 for j.
-28, -1
Suppose -5*g**2 - 30*g = 0. Calculate g.
-6, 0
What is c in 3*c**2/2 + 4191*c + 5854827/2 = 0?
-1397
Factor -3*y**3 + 159*y**2 - 309*y + 153.
-3*(y - 51)*(y - 1)**2
What is f in -f**2/4 + 4*f + 665/4 = 0?
-19, 35
What is k in 8*k**4/3 + 98*k**3/3 + 128*k**2 + 174*k + 36 = 0?
-6, -3, -1/4
Factor 58*w**2/7 - 66*w/7 + 8/7.
2*(w - 1)*(29*w - 4)/7
What is h in h**2/4 + 3*h/2 - 4 = 0?
-8, 2
Solve 2*n**2/5 + 196*n/5 - 606/5 = 0.
-101, 3
Solve -2*h**5/7 + 8*h**4 + 244*h**3/7 + 376*h**2/7 + 254*h/7 + 64/7 = 0 for h.
-1, 32
Suppose -t**2 - 1122*t - 314721 = 0. Calculate t.
-561
Factor -2*n**2/11 + 2*n.
-2*n*(n - 11)/11
Let -3*d**4 - 15*d**3 - 15*d**2 + 15*d + 18 = 0. Calculate d.
-3, -2, -1, 1
Find m such that 4*m**3 - 180*m**2 + 2700*m - 13500 = 0.
15
Factor x**2/4 - 73*x/2 - 150.
(x - 150)*(x + 4)/4
Suppose 35*n**5/2 + 177*n**4/2 + 325*n**3/2 + 263*n**2/2 + 42*n + 2 = 0. Calculate n.
-2, -1, -2/35
Determine w so that w**5 + 3*w**4/2 - 2*w**3 - 3*w**2/2 + w = 0.
-2, -1, 0, 1/2, 1
Factor -2*w**2/7 + 48*w/7 - 46/7.
-2*(w - 23)*(w - 1)/7
Factor -34*y**5 + 66*y**4 - 30*y**3 - 2*y**2.
-2*y**2*(y - 1)**2*(17*y + 1)
Determine b, given that -9*b**3 - 20*b**2 + 23*b + 6 = 0.
-3, -2/9, 1
Suppose -146*n**3/9 - 1318*n**2/9 + 1424*n/9 + 40/9 = 0. What is n?
-10, -2/73, 1
Factor 3*k**2 + 54*k.
3*k*(k + 18)
Factor 2*s**2 + 1216*s + 184832.
2*(s + 304)**2
Factor -5*b**2 - 250*b - 1320.
-5*(b + 6)*(b + 44)
Suppose -77*r**3 + 309*r**2 - 312*r + 4 = 0. What is r?
1/77, 2
Suppose -4*u**5 + 28*u**4 - 20*u**3 - 28*u**2 + 24*u = 0. What is u?
-1, 0, 1, 6
Suppose 8*c**5/7 - 38*c**4/21 - 16*c**3/3 + 6*c**2 + 136*c/21 - 40/21 = 0. What is c?
-5/3, -1, 1/4, 2
Factor d**3/2 + 131*d**2/2 - 338*d + 272.
(d - 4)*(d - 1)*(d + 136)/2
Solve c**2/5 - 18*c + 176/5 = 0 for c.
2, 88
Suppose 2*a**5/9 - 2*a**4/9 - 8*a**3 + 128*a**2/9 + 256*a/9 - 160/3 = 0. What is a?
-6, -2, 2, 5
Factor 3*z**3/5 - 1122*z**2/5 - 2256*z/5.
3*z*(z - 376)*(z + 2)/5
Factor 4*l**3 - 16*l**2 - 3584*l - 36864.
4*(l - 36)*(l + 16)**2
Solve 6*h**3 - 915*h**2 + 456*h = 0.
0, 1/2, 152
Suppose 33*g**2/5 + 609*g/5 + 54 = 0. Calculate g.
-18, -5/11
Factor 2*o**3/5 - 42*o**2/5 - 18*o - 46/5.
2*(o - 23)*(o + 1)**2/5
Suppose -q**2 + 246*q - 488 = 0. Calculate q.
2, 244
Factor -3*i**5/4 - 45*i**4 - 2871*i**3/4 - 2523*i**2/2.
-3*i**2*(i + 2)*(i + 29)**2/4
Suppose 2*f**5/7 + 2*f**4/7 - 2*f**3 - 2*f**2/7 + 12*f/7 = 0. What is f?
-3, -1, 0, 1, 2
Factor -l**4 + 6*l**3 - 11*l**2 + 6*l.
-l*(l - 3)*(l - 2)*(l - 1)
Solve c**5 - 170*c**4 + 9745*c**3 - 194600*c**2 + 360640*c -