p - 17)*(p - 5)
Factor 2*h**3 - 10*h**2 + 6*h + 18.
2*(h - 3)**2*(h + 1)
Find n, given that -84*n**2 - 2172*n - 98283/7 = 0.
-181/14
Suppose 4*q**2 - 864*q + 1712 = 0. Calculate q.
2, 214
Suppose -x**3/3 - 523*x**2/3 - 22881*x - 22707 = 0. What is x?
-261, -1
Let -2*c**5 - 88*c**4 - 1260*c**3 - 5400*c**2 + 6750*c = 0. Calculate c.
-15, 0, 1
Suppose 3*t**5 - 15*t**4 - 42*t**3 - 6*t**2 + 39*t + 21 = 0. What is t?
-1, 1, 7
Solve -5*p**2 + 3650*p - 666125 = 0 for p.
365
Find m, given that 3*m**5 - 48*m**4 - 54*m**3 + 48*m**2 + 51*m = 0.
-1, 0, 1, 17
Factor -z**3/6 + 15*z**2 + 61*z/2 + 46/3.
-(z - 92)*(z + 1)**2/6
Determine q, given that -19*q**5/5 + 113*q**4/5 - 222*q**3/5 + 28*q**2 + 8*q/5 = 0.
-1/19, 0, 2
Determine r, given that -4*r**2 - 1160*r - 1156 = 0.
-289, -1
Factor 2*q**4/9 - 2626*q**3/9 + 858032*q**2/9 + 865928*q/3.
2*q*(q - 658)**2*(q + 3)/9
Find k, given that k**2 + 57*k + 110 = 0.
-55, -2
Suppose -20*h**2 + 92*h - 72 = 0. Calculate h.
1, 18/5
Solve 2*f**3/11 + 846*f**2/11 - 1698*f/11 + 850/11 = 0 for f.
-425, 1
Factor 2*a**4 + 14*a**3 - 60*a**2 + 8*a + 80.
2*(a - 2)**2*(a + 1)*(a + 10)
Solve -112*m**4 - 1626*m**3 + 2603*m**2 - 849*m - 16 = 0.
-16, -1/56, 1/2, 1
Find q, given that -4*q**4 - 16*q**3 - 20*q**2 - 8*q = 0.
-2, -1, 0
Factor b**5/4 + 11*b**4 + 359*b**3/2 + 1287*b**2 + 13689*b/4.
b*(b + 9)**2*(b + 13)**2/4
Suppose 4*r**2 + 104*r = 0. Calculate r.
-26, 0
Factor -5*j**2 + 785*j + 4890.
-5*(j - 163)*(j + 6)
Factor -2*g**4 + 226*g**3 - 880*g**2 + 872*g.
-2*g*(g - 109)*(g - 2)**2
Suppose -h**4/4 + 67*h**3/4 - 48*h**2 = 0. Calculate h.
0, 3, 64
Factor 3*h**3 - 111*h**2 - 231*h - 117.
3*(h - 39)*(h + 1)**2
What is u in -2*u**3/9 - 70*u**2/3 - 806*u - 82646/9 = 0?
-43, -31
Factor y**3/6 + 143*y**2/6 - 195*y/2 + 147/2.
(y - 3)*(y - 1)*(y + 147)/6
Suppose 3*i**3/4 + 477*i**2/4 + 4914*i + 13689 = 0. What is i?
-78, -3
Factor -12*i**2/5 - 144*i/5 + 15.
-3*(2*i - 1)*(2*i + 25)/5
Factor -5*t**3/4 + 45*t**2 + 575*t/4 + 195/2.
-5*(t - 39)*(t + 1)*(t + 2)/4
Suppose 5*k**5 - 60*k**4 + 245*k**3 - 330*k**2 - 160*k + 480 = 0. What is k?
-1, 2, 3, 4
Find n, given that -2*n**5/3 - 14*n**4/3 - 38*n**3/3 - 50*n**2/3 - 32*n/3 - 8/3 = 0.
-2, -1
Let -y**5/3 - 14*y**4/3 + 16*y**3/3 + 14*y**2/3 - 5*y = 0. What is y?
-15, -1, 0, 1
Factor -3*x**5 + 720*x**4 - 717*x**3.
-3*x**3*(x - 239)*(x - 1)
Factor -408*j**3 - 416*j**2 - 110*j - 2.
-2*(2*j + 1)**2*(51*j + 1)
Factor 2*t**2/7 + 218*t/7 - 220/7.
2*(t - 1)*(t + 110)/7
Let f**5/8 - 5*f**4/2 + 25*f**3/4 + 5*f**2/2 - 51*f/8 = 0. What is f?
-1, 0, 1, 3, 17
Solve 3*f**3 - 2385*f**2 + 477576*f - 1411344 = 0.
3, 396
Determine s, given that s**3/3 - 38*s**2/3 + 361*s/3 = 0.
0, 19
Find f such that -21*f**4/4 + 213*f**3/2 - 813*f**2/4 - 234*f + 81 = 0.
-1, 2/7, 3, 18
Factor 12*u**4 + 44*u**3 + 24*u**2.
4*u**2*(u + 3)*(3*u + 2)
Suppose 2*u**2/5 - 12*u/5 - 14/5 = 0. Calculate u.
-1, 7
Determine d so that -2*d**5/3 + 26*d**4 + 164*d**3/3 + 4*d**2/3 - 54*d - 82/3 = 0.
-1, 1, 41
Find y such that -2*y**4/5 + 918*y**3/5 = 0.
0, 459
Solve -i**5/6 + 46*i**4/3 - 465*i**3 + 13454*i**2/3 + 29791*i/6 = 0.
-1, 0, 31
Factor -4*c**4 + 48*c**3 + 72*c**2 - 272*c + 156.
-4*(c - 13)*(c - 1)**2*(c + 3)
Factor -4*u**2/7 - 64*u/7 + 444.
-4*(u - 21)*(u + 37)/7
Factor 3*b**4 - 2304*b**3 - 9*b**2 + 6918*b - 4608.
3*(b - 768)*(b - 1)**2*(b + 2)
Suppose 3*d**4/2 - 6*d**3 - 9*d**2 + 6*d + 15/2 = 0. Calculate d.
-1, 1, 5
Factor -2*s**3/11 - 2048*s**2/11 - 186*s.
-2*s*(s + 1)*(s + 1023)/11
Factor 2*p**2/17 + 20*p/17 + 50/17.
2*(p + 5)**2/17
Factor -2*o**2/3 - 340*o/3 - 338/3.
-2*(o + 1)*(o + 169)/3
Suppose -2*n**5 + 6*n**4 + 2*n**3 - 14*n**2 + 8 = 0. Calculate n.
-1, 1, 2
Determine j so that 3*j**5 - 351*j**4/7 - 585*j**3/7 + 1815*j**2/7 - 576*j/7 - 324/7 = 0.
-3, -2/7, 1, 18
Suppose 36*m**3 - 127*m**2 - 255*m - 50 = 0. Calculate m.
-5/4, -2/9, 5
Suppose 12*g**4 - 64*g**3 + 4*g**2 + 80*g = 0. What is g?
-1, 0, 4/3, 5
Factor -a**3 + 157*a**2 + 317*a + 159.
-(a - 159)*(a + 1)**2
Factor -5*b**4 - 265*b**3.
-5*b**3*(b + 53)
Factor -2*n**5 + 48*n**4 + 12*n**3 - 272*n**2 - 378*n - 144.
-2*(n - 24)*(n - 3)*(n + 1)**3
Solve 18*k**2/11 + 8*k + 104/11 = 0 for k.
-26/9, -2
Let 5*x**2/4 - 1095*x/2 - 2210 = 0. What is x?
-4, 442
Factor 2*o**5/23 + 4*o**4/23 - 14*o**3/23 + 8*o**2/23.
2*o**2*(o - 1)**2*(o + 4)/23
Find r such that r**3/8 - 157*r**2/2 + 101661*r/8 - 477405/4 = 0.
10, 309
What is v in -v**4/2 - v**3 + 6*v**2 + 9*v - 27/2 = 0?
-3, 1, 3
Suppose -3*v**3 - 660*v**2 - 36951*v - 71286 = 0. What is v?
-109, -2
Suppose t**2/3 + 12*t + 128/3 = 0. What is t?
-32, -4
Solve 2*l**2/5 - 13*l + 32/5 = 0.
1/2, 32
Suppose -b**2/3 - 251*b/3 + 514 = 0. Calculate b.
-257, 6
Factor -2*w**3/11 + 16*w**2/11 + 46*w/11 - 60/11.
-2*(w - 10)*(w - 1)*(w + 3)/11
Factor 4*r**5/5 - 4*r**4/5 - 12*r**3/5 + 4*r**2 - 8*r/5.
4*r*(r - 1)**3*(r + 2)/5
Factor -2*f**2/11 + 16*f/11 + 6.
-2*(f - 11)*(f + 3)/11
Let -s**4 + 49*s**3/3 - 134*s**2/3 + 44*s/3 + 104/3 = 0. Calculate s.
-2/3, 2, 13
Factor 3*d**3 - 162*d**2 - 12*d + 648.
3*(d - 54)*(d - 2)*(d + 2)
Solve p**2 + 50*p + 49 = 0.
-49, -1
Factor 5*q**3/2 - 93*q**2/2 + 26*q + 18.
(q - 18)*(q - 1)*(5*q + 2)/2
Factor 4*m**3 + 836*m**2.
4*m**2*(m + 209)
Suppose 5*l**2 - 1520*l + 115520 = 0. What is l?
152
Solve 2*r**5/11 - 8*r**4/11 - 30*r**3/11 + 20*r**2/11 + 8*r + 48/11 = 0 for r.
-2, -1, 2, 6
Factor 3*p**2/5 - 9*p - 1218/5.
3*(p - 29)*(p + 14)/5
What is l in -2*l**4/9 + 22*l**3/9 - 6*l**2 + 50*l/9 - 16/9 = 0?
1, 8
Solve -9*c**2/4 + 23*c/4 + 3 = 0 for c.
-4/9, 3
Factor 4*i**4 + 88*i**3 + 276*i**2 - 2288*i + 2704.
4*(i - 2)**2*(i + 13)**2
Determine a so that -5*a**5 - 10*a**4 + 65*a**3 + 70*a**2 - 120*a = 0.
-4, -2, 0, 1, 3
Solve v**3/3 - 373*v**2/3 + 370*v = 0 for v.
0, 3, 370
Factor 3*o**5/5 + 27*o**4/5 - 336*o**3/5.
3*o**3*(o - 7)*(o + 16)/5
Factor r**3/5 - 321*r**2/5 + 25272*r/5 + 78732/5.
(r - 162)**2*(r + 3)/5
Solve -s**4/3 - 8*s**3 - 143*s**2/3 + 8*s + 48 = 0 for s.
-12, -1, 1
Determine f so that -f**5/4 - 9*f**4/4 - 29*f**3/4 - 39*f**2/4 - 9*f/2 = 0.
-3, -2, -1, 0
Determine o, given that o**5/3 + 4*o**4/3 = 0.
-4, 0
Factor -14*d**4/9 - 508*d**3/9 - 688*d**2 - 2880*d - 768.
-2*(d + 12)**3*(7*d + 2)/9
Suppose -6*c**2/11 - 100*c/11 + 34/11 = 0. Calculate c.
-17, 1/3
Find l, given that 20*l**5 + 388*l**4 + 1752*l**3 - 1360*l**2 - 800*l = 0.
-10, -2/5, 0, 1
Solve v**2/2 - 131*v/2 + 254 = 0 for v.
4, 127
Determine y, given that y**4 + 43*y**3 - 1767*y**2 - 114359*y - 1489550 = 0.
-31, 50
Suppose 2*k**5/7 - 2*k**4/7 - 22*k**3/7 + 58*k**2/7 - 52*k/7 + 16/7 = 0. Calculate k.
-4, 1, 2
Determine g, given that -4*g**4/5 + 544*g**3/5 - 18492*g**2/5 - 544*g/5 + 18496/5 = 0.
-1, 1, 68
Determine p so that -3*p**5/7 - 69*p**4/7 - 384*p**3/7 - 804*p**2/7 - 576*p/7 = 0.
-16, -3, -2, 0
Factor -2*f**4 + 6*f**3 - 8*f.
-2*f*(f - 2)**2*(f + 1)
Suppose b**3 - 5*b**2 - 14*b = 0. What is b?
-2, 0, 7
Determine o so that -o**2/2 - 11*o/2 = 0.
-11, 0
What is v in -4*v**4 - 28*v**3 + 12*v**2 + 220*v - 200 = 0?
-5, 1, 2
Factor -g**2/8 + 2*g - 8.
-(g - 8)**2/8
Factor -2*y**2/11 + 48*y/11.
-2*y*(y - 24)/11
Solve 2*t**5/7 - 160*t**4/7 + 312*t**3/7 + 4*t**2/7 - 314*t/7 + 156/7 = 0 for t.
-1, 1, 78
Factor b**2/5 + 11*b.
b*(b + 55)/5
Factor 4*a**2 + 3528*a + 777924.
4*(a + 441)**2
Factor -3*l**4 + 33*l**3 - 30*l**2.
-3*l**2*(l - 10)*(l - 1)
Factor 6*d**2 - 16*d + 8.
2*(d - 2)*(3*d - 2)
Factor 2*j**3 - 126*j**2 + 1372*j.
2*j*(j - 49)*(j - 14)
Factor -218*j**2 - 1304*j/3 + 8/3.
-2*(j + 2)*(327*j - 2)/3
Find p such that -p**2/9 - 628*p/9 + 4445/9 = 0.
-635, 7
Suppose 18*u**4/5 + 284*u**3/5 - 712*u**2/5 + 144*u/5 = 0. What is u?
-18, 0, 2/9, 2
What is a in 4*a**5 - 64*a**4 + 336*a**3 - 440*a**2 - 1300*a + 3000 = 0?
-2, 3, 5
Suppose y**2/5 - 14*y/5 - 3 = 0. Calculate y.
-1, 15
Find n such that 64*n**4 - 160*n**3 - 99*n**2 + 27*n/4 + 27/4 = 0.
-3/8, 1/4, 3
Factor -190*b**3/23 - 136*b**2/23 - 24*b/23.
-2*b*(5*b + 2)*(19*b + 6)/23
Factor -2*z**4/5 + 98*z**3/5 - 188*z**2/5.
-2*z**2*(z - 47)*(z - 2)/5
Factor u**2/6 - 43*u/2 + 180.
(u - 120)*(u - 9)/6
Factor p**4/5 - p**3 + 7*p**2/5 - 3*p/5.
p*(p - 3)*(p - 1)**2/5
Factor 225*r**2 - 15*r + 1/4.
(30*r - 1)**2/4
Factor 108*s**2 + 214*s - 4.
2*(s + 2)*(54*s - 1)
Suppose 5*q**4 + 370*q**3 + 7845*q**2 + 36380*q + 28900 = 0. What is