5 + 14*f**3/5 + 13*f**2/5 - 252*f/5 + 324/5.
(f - 2)**2*(f + 9)**2/5
Solve -4*y**4 + 4*y**3 + 8*y**2 = 0.
-1, 0, 2
Find b such that -3*b**4/8 - 186*b**3 + 5985*b**2/8 - 3747*b/4 + 375 = 0.
-500, 1, 2
Factor 5*q**4 - 350*q**3 + 6120*q**2 + 350*q - 6125.
5*(q - 35)**2*(q - 1)*(q + 1)
Factor 3*k**4 - 516*k**3 + 22698*k**2 - 43860*k + 21675.
3*(k - 85)**2*(k - 1)**2
Find n, given that n**2/4 + n/4 = 0.
-1, 0
Factor 4*j**3/5 - 8*j**2 - 92*j/5 - 48/5.
4*(j - 12)*(j + 1)**2/5
What is i in i**2/2 + 4*i + 15/2 = 0?
-5, -3
Factor c**2/4 + 169*c/4 - 85/2.
(c - 1)*(c + 170)/4
Solve -2*s**2 + 10*s + 72 = 0.
-4, 9
Factor -51*j**3/5 - 49*j**2/5 + 2*j/5.
-j*(j + 1)*(51*j - 2)/5
Determine b so that -b**5/4 + 3*b**4/4 + 3*b**3/4 - 11*b**2/4 + 3*b/2 = 0.
-2, 0, 1, 3
Suppose -w**3/3 - 79*w**2 - 4720*w - 13924/3 = 0. What is w?
-118, -1
Find p such that p**4 - 21*p**3/4 - 19*p**2/4 + 3*p/2 = 0.
-1, 0, 1/4, 6
Solve 14*f**4/5 - 199*f**3/2 + 1651*f**2/2 - 421*f + 276/5 = 0.
1/4, 2/7, 12, 23
Factor -l**3 - 15*l**2/2 - 3*l + 7/2.
-(l + 1)*(l + 7)*(2*l - 1)/2
Find f, given that -f**4 - 7*f**3 - 4*f**2 + 12*f = 0.
-6, -2, 0, 1
Solve 3*h**3/4 + 555*h**2/4 + 26481*h/4 + 74529/4 = 0 for h.
-91, -3
Factor d**3/4 - 5*d**2/4 - 3*d/2.
d*(d - 6)*(d + 1)/4
Factor -2*i**4/15 - 28*i**3 - 278*i**2/5 - 416*i/15.
-2*i*(i + 1)**2*(i + 208)/15
Factor -5*n**3/6 + n**2/3 + 11*n/2 + 3.
-(n - 3)*(n + 2)*(5*n + 3)/6
Factor -14739*q**3/5 + 6936*q**2/5 - 663*q/5 + 18/5.
-3*(17*q - 6)*(17*q - 1)**2/5
Factor t**5 + 7*t**4 + 13*t**3 - 3*t**2 - 18*t.
t*(t - 1)*(t + 2)*(t + 3)**2
Find o such that -o**3/4 - 15*o**2/4 - 9*o = 0.
-12, -3, 0
What is m in m**5 + 5*m**4 - 33*m**3 + 27*m**2 = 0?
-9, 0, 1, 3
Factor -u**2 + 14*u - 13.
-(u - 13)*(u - 1)
Factor 3*v**5/7 - 18*v**4/7 + 6*v**3/7 + 60*v**2/7 - 81*v/7 + 30/7.
3*(v - 5)*(v - 1)**3*(v + 2)/7
Let i**5/4 + 109*i**4/8 - 169*i**3/8 - 53*i**2/8 + 167*i/8 - 7 = 0. What is i?
-56, -1, 1/2, 1
Determine f, given that f**5/6 - 11*f**4/6 + 10*f**3/3 + 40*f**2/3 - 16*f - 24 = 0.
-2, -1, 2, 6
Factor 65*s**2 - 525*s + 40.
5*(s - 8)*(13*s - 1)
Solve -3*n**2 + 13698*n - 15636267 = 0 for n.
2283
Factor g**4/2 + 4*g**3 + 15*g**2/2 - 2*g - 10.
(g - 1)*(g + 2)**2*(g + 5)/2
Factor v**4/4 - 11*v**3/2 + 35*v**2 - 109*v/2 + 99/4.
(v - 11)*(v - 9)*(v - 1)**2/4
Factor -2*b**5/3 - 20*b**4/3 + 1390*b**3/3 + 600*b**2 - 99360*b + 609408.
-2*(b - 12)**3*(b + 23)**2/3
Let -25*t**5/6 - 15*t**4 - 16*t**3 - 16*t**2/3 = 0. Calculate t.
-2, -4/5, 0
Factor -n**2 + 199*n + 200.
-(n - 200)*(n + 1)
Find k, given that -6*k**5 + 56*k**4/5 + 98*k**3/5 - 108*k**2/5 - 136*k/5 - 16/5 = 0.
-1, -2/15, 2
Factor 2*y**3 - 20*y**2 + 64*y - 64.
2*(y - 4)**2*(y - 2)
Factor -3*d**4/4 - 3*d**3/4 + 3*d**2/4 + 3*d/4.
-3*d*(d - 1)*(d + 1)**2/4
Suppose -2*n**4/3 + 88*n**3/3 - 478*n**2/3 + 848*n/3 - 152 = 0. Calculate n.
1, 2, 3, 38
Suppose -5*d**4 - 60*d**3 - 55*d**2 = 0. Calculate d.
-11, -1, 0
Determine b so that -49*b**5/2 + 1127*b**4/4 + 743*b**3/4 - 464*b**2 - 15*b + 36 = 0.
-3/2, -2/7, 2/7, 1, 12
Factor -q**4 - 30*q**3 + 3*q**2 + 88*q - 60.
-(q - 1)**2*(q + 2)*(q + 30)
Let -2*w**4 + 10*w**3 + 2*w**2 - 10*w = 0. What is w?
-1, 0, 1, 5
Factor -2*l**4/7 + 2*l**3/7 + 38*l**2 - 182*l.
-2*l*(l - 7)**2*(l + 13)/7
What is o in 5*o**3 - 9340*o**2 - 18700*o = 0?
-2, 0, 1870
Factor 2*w**2 + 1140*w + 162450.
2*(w + 285)**2
Find l such that -l**2 - 39*l = 0.
-39, 0
Factor -t**2/3 + 12406*t/3 - 38477209/3.
-(t - 6203)**2/3
Determine o so that 2*o**2 - 12*o - 14 = 0.
-1, 7
Factor -z**5/4 - 3*z**4/4 + z**3/4 + 11*z**2/4 + 3*z + 1.
-(z - 2)*(z + 1)**3*(z + 2)/4
Factor 98*q**4 - 12222*q**3 + 20760*q**2 - 82784*q/7 + 15744/7.
2*(q - 123)*(7*q - 4)**3/7
Factor -2*g**2 + 1702*g - 6776.
-2*(g - 847)*(g - 4)
Determine m, given that 3*m**5 - 23*m**4 + m**3 + 83*m**2 + 56*m = 0.
-1, 0, 8/3, 7
Factor s**5 + 894*s**4 + 892*s**3 - 894*s**2 - 893*s.
s*(s - 1)*(s + 1)**2*(s + 893)
Let 2*u**5/9 + 12*u**4 + 1346*u**3/9 - 336*u**2 + 1568*u/9 = 0. What is u?
-28, 0, 1
Factor -2*t**2/5 - 4826*t/5 - 9644/5.
-2*(t + 2)*(t + 2411)/5
Factor -4*b**3 + 936*b**2 + 4756*b + 5736.
-4*(b - 239)*(b + 2)*(b + 3)
Find p such that p**5/2 - 14*p**4 + 13*p**3 + 14*p**2 - 27*p/2 = 0.
-1, 0, 1, 27
Solve -3*r**2 - 354*r + 720 = 0 for r.
-120, 2
Find u such that u**3 + 57*u**2 - 117*u + 59 = 0.
-59, 1
Factor 3*l**2 - 192.
3*(l - 8)*(l + 8)
Factor 5*l**4 - 280*l**3 + 540*l**2.
5*l**2*(l - 54)*(l - 2)
Find h such that -1225*h**4 + 60760*h**3 - 35915*h**2 - 4960*h + 2940 = 0.
-2/7, 2/7, 3/5, 49
Find b such that 4*b**2 + 304*b + 3276 = 0.
-63, -13
Factor 3*s**2 + 141*s - 144.
3*(s - 1)*(s + 48)
Factor 2835*l**2/2 - 2829*l/2 - 3.
3*(l - 1)*(945*l + 2)/2
Factor 5*o**3 - 5570*o**2 + 11125*o - 5560.
5*(o - 1112)*(o - 1)**2
Let -7*r**2/3 - 751*r/3 - 214/3 = 0. Calculate r.
-107, -2/7
Let -5*v**4 - 85*v**3 - 425*v**2 - 615*v - 270 = 0. What is v?
-9, -6, -1
Find t such that t**2 - 305*t + 1794 = 0.
6, 299
Determine o so that -2*o**2/9 - 8008*o/9 - 8016008/9 = 0.
-2002
Solve v**5/2 + 3*v**4 + 11*v**3/2 + 3*v**2 = 0.
-3, -2, -1, 0
Factor 3*y**2 + 39*y - 144.
3*(y - 3)*(y + 16)
Find u such that 5*u**2 + 24780*u + 24775 = 0.
-4955, -1
Suppose -2*g**4 + 438*g**3 - 22836*g**2 - 128128*g + 150528 = 0. What is g?
-6, 1, 112
Solve -8*a**5/7 + 2*a**4 + 4*a**3 - 26*a**2/7 - 40*a/7 - 8/7 = 0.
-1, -1/4, 2
Find u, given that 536*u**3 + 31092*u**2 + 451008*u + 3364 = 0.
-29, -1/134
Factor -l**4/3 + 14*l**3/3 + 67*l**2/3 + 88*l/3 + 12.
-(l - 18)*(l + 1)**2*(l + 2)/3
Find n, given that 100*n**4 + 7960*n**3 - 11296*n**2 + 3560*n - 324 = 0.
-81, 1/5, 1
Determine q, given that -3*q**5/4 - 33*q**4 - 477*q**3 - 4497*q**2/2 + 1911*q/4 + 4563/2 = 0.
-18, -13, -1, 1
Factor -q**4/5 - 9*q**3/5 - 3*q**2 + 5*q.
-q*(q - 1)*(q + 5)**2/5
Determine c, given that -5*c**5 + 70*c**3 + 60*c**2 - 65*c - 60 = 0.
-3, -1, 1, 4
Solve l**3 - 14*l**2 - l + 14 = 0.
-1, 1, 14
Factor -4*r**2 - 600*r + 3744.
-4*(r - 6)*(r + 156)
Factor -4*i**3 - 20*i**2 + 100*i + 500.
-4*(i - 5)*(i + 5)**2
Factor -5*b**4 - 105*b**3 - 565*b**2 - 1095*b - 630.
-5*(b + 1)*(b + 3)**2*(b + 14)
Factor 3*f**3 + 3*f**2 - 636*f - 1260.
3*(f - 15)*(f + 2)*(f + 14)
Factor y**3/2 - 5*y**2/8 - 7*y/8 + 1/4.
(y - 2)*(y + 1)*(4*y - 1)/8
Factor 4*t**2 - 196*t + 1776.
4*(t - 37)*(t - 12)
Factor 2*d**2 - 8960*d - 8962.
2*(d - 4481)*(d + 1)
Factor 15*z**4 + 297*z**3 + 1200*z**2 - 252*z.
3*z*(z + 6)*(z + 14)*(5*z - 1)
Factor -3*l**3 + 42*l**2 + 45*l.
-3*l*(l - 15)*(l + 1)
Factor -3*v**4 + 12*v**2.
-3*v**2*(v - 2)*(v + 2)
Let g**5/5 + 117*g**4/5 + 623*g**3 - 18117*g**2/5 + 14884*g/5 = 0. What is g?
-61, 0, 1, 4
Factor -j**4/2 + 5*j**3 - 33*j**2/2 + 20*j - 8.
-(j - 4)**2*(j - 1)**2/2
Factor 5*g**5/6 - 5*g**3/2 - 5*g**2/3.
5*g**2*(g - 2)*(g + 1)**2/6
Factor 2*l**4/11 + 14*l**3 + 3040*l**2/11 + 2888*l/11.
2*l*(l + 1)*(l + 38)**2/11
Factor 2*d**4/3 - 272*d**3/3 + 266*d**2.
2*d**2*(d - 133)*(d - 3)/3
Factor -2*x**3/11 + 58*x**2/11 - 448*x/11 + 392/11.
-2*(x - 14)**2*(x - 1)/11
Determine f, given that f**2 - 63*f + 992 = 0.
31, 32
Suppose 25*c**5/2 - 120*c**4 + 101*c**3/2 + 835*c**2 + 324*c + 32 = 0. What is c?
-2, -1/5, 4, 8
Solve -21*a**2 + 93*a + 114 = 0.
-1, 38/7
Determine d, given that -d**5/6 + 9*d**4 - 26*d**3/3 - 9*d**2 + 53*d/6 = 0.
-1, 0, 1, 53
Suppose 3*m**2/7 - 27/7 = 0. Calculate m.
-3, 3
Factor -2*g**4/3 + 4*g**3 + 32*g**2/3.
-2*g**2*(g - 8)*(g + 2)/3
Find l, given that 5*l**3 + 275*l**2 + 2375*l + 5625 = 0.
-45, -5
Find y, given that -2*y**2/5 + 32*y/5 - 56/5 = 0.
2, 14
Let -3*s**5 + 48*s**4 - 195*s**3 + 150*s**2 = 0. What is s?
0, 1, 5, 10
Factor 2*u**2/3 - 34*u/3 + 140/3.
2*(u - 10)*(u - 7)/3
Find s such that 2*s**2/9 + 72*s = 0.
-324, 0
Factor -q**5/4 - 5*q**4/4 - 5*q**3/2 - 5*q**2/2 - 5*q/4 - 1/4.
-(q + 1)**5/4
Let x**5 + 76*x**4 + 1540*x**3 + 12896*x**2 + 45824*x + 51200 = 0. Calculate x.
-50, -8, -2
Solve -32*i**4 - 188*i**3 + 824*i**2 - 676*i + 72 = 0.
-9, 1/8, 1, 2
Solve a**2/3 + a - 28/3 = 0.
-7, 4
Let -285*n**2/7 - 27*n - 30/7 = 0. Calculate n.
-2/5, -5/19
Solve 18*l**4/19 + 22*l**3/19 - 68*l**2/19 - 88*l/19 - 16/19 = 0.
-2, -1, -2/9, 2
What is g in 35*g**3 - 475*g**2 + 1505*g + 735 = 0?
-3/7, 7
Suppose -3*w**4 - 213*w**3 - 4131*w**2 + 6561*w + 590490 = 0. What is w?
-27, 10
What is u in -u**3/4 - u**2 + u/4 + 1 = 0?
-4, -1, 1
F