469, -2, 1/4
Factor f**4/3 + 13*f**3/3.
f**3*(f + 13)/3
Factor -l**3 - 56*l**2 - 660*l + 3600.
-(l - 4)*(l + 30)**2
Suppose 4*f**3/7 - 24*f**2/7 + 36*f/7 - 16/7 = 0. What is f?
1, 4
What is m in 2*m**5/11 - 2*m**4 - 54*m**3/11 + 2*m**2 + 52*m/11 = 0?
-2, -1, 0, 1, 13
Find j such that -5*j**5 - 85*j**4 + 405*j**3 - 335*j**2 - 400*j + 420 = 0.
-21, -1, 1, 2
Factor -w**3/6 - 4*w**2/3.
-w**2*(w + 8)/6
Factor i**4 + 37*i**3 - 202*i**2 + 332*i - 168.
(i - 2)**2*(i - 1)*(i + 42)
Let 2*v**5/5 - 2*v**4/5 - 2*v**3/5 + 2*v**2/5 = 0. Calculate v.
-1, 0, 1
Let 2*r**3/15 + 1744*r**2/15 - 3494*r/15 + 1748/15 = 0. Calculate r.
-874, 1
Factor -s**3/8 - 53*s**2/4 + 215*s/8 - 27/2.
-(s - 1)**2*(s + 108)/8
Determine o so that 6*o**4/7 + 190*o**3/7 + 872*o**2/7 - 312*o/7 = 0.
-26, -6, 0, 1/3
Find g such that 4*g**4 + 12*g**3 - 60*g**2 - 76*g + 120 = 0.
-5, -2, 1, 3
Factor -m**4 + 139*m**3 + 1305*m**2 + 3969*m + 3996.
-(m - 148)*(m + 3)**3
Let -m**2/2 - 17*m/2 - 8 = 0. What is m?
-16, -1
Find m, given that -28*m**3/5 - 237*m**2/5 + 14*m = 0.
-35/4, 0, 2/7
What is x in -22*x**5/3 + 4624*x**4/3 - 108080*x**3 + 7604800*x**2/3 - 1372000*x/3 = 0?
0, 2/11, 70
Factor -5*y**5 + 25*y**4 - 30*y**3 - 20*y**2 + 40*y.
-5*y*(y - 2)**3*(y + 1)
Let 2*h**4 - 26*h**3 - 90*h**2 - 94*h - 32 = 0. What is h?
-1, 16
Factor -q**4 + q**3 + 3*q**2 - q - 2.
-(q - 2)*(q - 1)*(q + 1)**2
Determine k so that 9*k**4/4 - 39*k**3/4 + 25*k**2/4 + 31*k/4 + 3/2 = 0.
-1/3, 2, 3
Factor 2*k**4/15 + 1064*k**3/15 + 140444*k**2/15 - 94696*k/5 + 47526/5.
2*(k - 1)**2*(k + 267)**2/15
Factor w**3/8 + 53*w**2/8 + 675*w/8 - 729/8.
(w - 1)*(w + 27)**2/8
Let 3*h**4 + 111*h**3 + 1368*h**2 + 5964*h + 4704 = 0. Calculate h.
-14, -8, -1
Find w such that -4*w**5 - 56*w**4 - 216*w**3 - 352*w**2 - 260*w - 72 = 0.
-9, -2, -1
What is k in k**2/4 - 39*k/4 - 10 = 0?
-1, 40
What is y in -12*y**5 - 31*y**4 - 3*y**3 + 29*y**2 + 15*y + 2 = 0?
-2, -1, -1/3, -1/4, 1
Factor 2*g**3/11 - 568*g**2/11 + 2248*g/11 - 2240/11.
2*(g - 280)*(g - 2)**2/11
Factor 5*f**3 + 180*f**2 + 925*f + 750.
5*(f + 1)*(f + 5)*(f + 30)
Let 886205*c**2 - 88410*c + 2205 = 0. What is c?
21/421
Factor 2*b**2 - 3696*b + 1707552.
2*(b - 924)**2
Factor 5*f**2 + 590*f + 17405.
5*(f + 59)**2
Factor 16*y**4 + 124*y**3 + 176*y**2 + 44*y - 24.
4*(y + 1)**2*(y + 6)*(4*y - 1)
Factor x**2/6 - 307*x/6.
x*(x - 307)/6
Suppose -2*q**3/5 - 28*q**2/5 - 88*q/5 - 16 = 0. What is q?
-10, -2
Let -25*x**3/3 + 305*x**2/3 + 256*x/3 + 52/3 = 0. What is x?
-2/5, 13
Determine k, given that k**5/2 + 75*k**4/2 - 473*k**3/2 + 1041*k**2/2 - 484*k + 162 = 0.
-81, 1, 2
Find d such that 4*d**5/19 - 6*d**4 + 44*d**3 - 278*d**2/19 - 840*d/19 + 392/19 = 0.
-1, 1/2, 1, 14
Factor 9*x**2/7 - 138*x/7 + 429/7.
3*(x - 11)*(3*x - 13)/7
Factor 2*a**2/3 - 656*a/3.
2*a*(a - 328)/3
Find h, given that -h**4/2 + 11*h**3 - 157*h**2/2 + 198*h - 162 = 0.
2, 9
Solve 4*q**3 - 124*q**2 + 236*q - 116 = 0 for q.
1, 29
Factor -2*d**2/15 - 152*d/3 - 14440/3.
-2*(d + 190)**2/15
Let -3*t**2 + 72*t - 432 = 0. What is t?
12
Let -21*d**5 - 15*d**4 + 6*d**3 = 0. Calculate d.
-1, 0, 2/7
Determine f so that -2*f**4/3 + 23*f**3/3 - 10*f**2 - f/3 + 10/3 = 0.
-1/2, 1, 10
Suppose -7056*n**5 + 111216*n**4 + 29468*n**3 - 41088*n**2 - 5376*n + 4096 = 0. Calculate n.
-1/2, 8/21, 16
Factor 2*r**5 - 32*r**4 + 180*r**3 - 400*r**2 + 250*r.
2*r*(r - 5)**3*(r - 1)
Solve 3*w**4/8 + 3*w**3/2 + 15*w**2/8 + 3*w/4 = 0 for w.
-2, -1, 0
Suppose -h**3 - 131*h**2 - 3587*h - 28033 = 0. What is h?
-97, -17
Find s such that 4*s**3 + 236*s**2 + 3596*s + 3364 = 0.
-29, -1
Factor 4*c**5 - 24*c**4 + 32*c**3.
4*c**3*(c - 4)*(c - 2)
Factor -2*o**4/11 + 14*o**3/11 - 36*o**2/11 + 40*o/11 - 16/11.
-2*(o - 2)**3*(o - 1)/11
Factor 5*h**3 - 25*h**2 - 385*h + 2205.
5*(h - 7)**2*(h + 9)
Find o, given that 12*o**5 - 136*o**4/3 - 536*o**3/3 + 1184*o**2/3 + 636*o + 120 = 0.
-3, -1, -2/9, 3, 5
Suppose -w**4/6 + 8*w**3 + 25*w**2 + 76*w/3 + 17/2 = 0. What is w?
-1, 51
Factor -3*x**3/7 + 69*x**2/7 - 66*x/7.
-3*x*(x - 22)*(x - 1)/7
Determine j, given that -125*j**3 - 1075*j**2 - 2755*j - 1805 = 0.
-19/5, -1
Determine k so that 16*k**4 - 6024*k**3 + 568513*k**2 - 283128*k + 35344 = 0.
1/4, 188
Factor -2*y**2 + 82*y.
-2*y*(y - 41)
Factor 2*z**3 - 4302*z**2 - 8610*z - 4306.
2*(z - 2153)*(z + 1)**2
Solve 4*w**5 - 20*w**4 + 12*w**3 + 68*w**2 - 112*w + 48 = 0.
-2, 1, 2, 3
Factor -78*o**2/5 - 30*o + 12/5.
-6*(o + 2)*(13*o - 1)/5
Solve -4*b**5 + 20*b**4 - 8*b**3 - 80*b**2 + 96*b = 0 for b.
-2, 0, 2, 3
Factor -5*u**3 - 10*u**2 + 35*u - 20.
-5*(u - 1)**2*(u + 4)
What is z in -4*z**3 - 24*z**2 - 48*z - 32 = 0?
-2
Factor f**5/2 + 3*f**4 - 8*f**3 + f**2 + 15*f/2 - 4.
(f - 1)**3*(f + 1)*(f + 8)/2
Factor -b**3/5 + 7*b**2/5 + b/5 - 7/5.
-(b - 7)*(b - 1)*(b + 1)/5
Factor 4*b**5/9 + 16*b**4/9 + 8*b**3/3 + 16*b**2/9 + 4*b/9.
4*b*(b + 1)**4/9
Solve 5*o**4/4 + 5*o**3/4 - 1605*o**2/4 - 10505*o/4 + 3025 = 0 for o.
-11, 1, 20
Determine i, given that 49392*i**3 - 67032*i**2 + 30324*i - 13718/3 = 0.
19/42
Factor 4*t**3/7 + 12*t**2 - 4*t/7 - 12.
4*(t - 1)*(t + 1)*(t + 21)/7
Suppose -2*g**3 + 24*g**2 - 58*g + 36 = 0. Calculate g.
1, 2, 9
Let -21*w**5/2 + 3*w**4 + 147*w**3/2 - 84*w**2 + 18*w = 0. What is w?
-3, 0, 2/7, 1, 2
Solve 6*l**4/5 - 34*l**3/5 - 28*l**2/5 + 64*l - 192/5 = 0.
-3, 2/3, 4
Factor 2*u**3/7 - 46*u**2/7 + 86*u/7 - 6.
2*(u - 21)*(u - 1)**2/7
Factor -2*w**2/11 + 136*w/11 - 134/11.
-2*(w - 67)*(w - 1)/11
Factor r**2/9 - 28*r/9.
r*(r - 28)/9
Factor 3*j**2/2 - 2259*j/2 + 4494.
3*(j - 749)*(j - 4)/2
Determine m, given that -m**4/2 + m**3 + 7*m**2/2 - 10*m + 6 = 0.
-3, 1, 2
Find m such that -m**4/4 - 7*m**3/4 - 4*m**2 - 3*m = 0.
-3, -2, 0
Let -4*j**3 - 108*j**2 + 4*j + 108 = 0. Calculate j.
-27, -1, 1
Suppose -f**2 - 28*f - 196 = 0. Calculate f.
-14
What is i in -4*i**5/3 - i**4/3 + 4*i**3/3 + i**2/3 = 0?
-1, -1/4, 0, 1
Factor 5*q**3 - 415*q**2 + 815*q - 405.
5*(q - 81)*(q - 1)**2
Let -2*k**2/11 + 92*k/11 - 1058/11 = 0. Calculate k.
23
Let -100*y**5 - 315*y**4 + 365*y**3 + 90*y**2 - 40*y = 0. What is y?
-4, -2/5, 0, 1/4, 1
Find a such that a**2/4 - 27*a/4 - 130 = 0.
-13, 40
Let -v**4/3 + 115*v**3/6 - 1027*v**2/3 + 1744*v + 960 = 0. Calculate v.
-1/2, 10, 24
Determine z, given that 4*z**3 + 28*z**2 - 3968*z + 39936 = 0.
-39, 16
Factor -3*q**3 - 4476*q**2 - 8943*q - 4470.
-3*(q + 1)**2*(q + 1490)
Factor 2*y**2 + 32*y - 34.
2*(y - 1)*(y + 17)
Factor -d**3/5 - 11*d**2/5 + 52*d/5 + 28.
-(d - 5)*(d + 2)*(d + 14)/5
Suppose -2*y**5/15 - 62*y**4/15 + 64*y**3/3 + 12032*y**2/15 - 28672*y/5 + 24576/5 = 0. Calculate y.
-24, 1, 8
Factor -4232*k**5/11 + 1104*k**4 - 11058*k**3/11 + 2630*k**2/11 + 498*k/11 + 18/11.
-2*(k - 1)**3*(46*k + 3)**2/11
Determine q, given that 4*q**4 - 41*q**3 - 86*q**2 + 24*q = 0.
-2, 0, 1/4, 12
Determine o so that -o**5/3 - 41*o**4/6 - 53*o**3/6 + 79*o**2/6 + 55*o/6 - 19/3 = 0.
-19, -2, -1, 1/2, 1
Solve 49*m**2/5 + 462*m/5 + 1089/5 = 0.
-33/7
Factor -h**3/2 - 21*h**2/2 - 147*h/2 - 343/2.
-(h + 7)**3/2
Factor -p**2/4 + 105*p/4.
-p*(p - 105)/4
Factor -5*r**4 - 5*r**3.
-5*r**3*(r + 1)
Factor -2*w**5/23 + 50*w**4/23 - 432*w**3/23 + 1408*w**2/23 - 1024*w/23.
-2*w*(w - 8)**3*(w - 1)/23
Suppose -2*z**4/7 - 8*z**3/7 + 22*z**2/7 + 132*z/7 + 144/7 = 0. Calculate z.
-3, -2, 4
Find w such that -4*w**3 - 1764*w**2 - 259308*w - 12706092 = 0.
-147
Factor -3*l**2 + 621*l - 2436.
-3*(l - 203)*(l - 4)
Find d such that -95*d**4/3 + 630*d**3 + 295*d**2/3 - 630*d - 200/3 = 0.
-1, -2/19, 1, 20
Determine t, given that -3*t**4 + 3*t**3 + 3*t**2 - 3*t = 0.
-1, 0, 1
Suppose -36*f**3 - 512*f**2 - 1876*f - 392 = 0. Calculate f.
-7, -2/9
Let -q**2 + 12362*q - 38204761 = 0. What is q?
6181
Suppose -4*d**2/9 - 17320*d/3 - 18748900 = 0. What is d?
-6495
Factor -3*c**2/4 + 1803*c/2 - 1083603/4.
-3*(c - 601)**2/4
Suppose -3*p**3 - 636*p**2 + 639*p = 0. Calculate p.
-213, 0, 1
Factor 6*j**2/11 + 182*j/11 - 124/11.
2*(j + 31)*(3*j - 2)/11
Solve -g**4/12 + 5*g**3/12 + 7*g**2/4 + 23*g/12 + 2/3 = 0 for g.
-1, 8
Find l, given that l**5/6 + l**4/3 - l**2/3 - l/6 = 0.
-1, 0, 1
Factor 4*l**3/5 + 684*l**2/5 + 400*l - 2688/5.
4*(l - 1)*(l + 4)*(l + 168)/5
Factor k**3/4 - 1657*k**2/4 + 170980*k + 516675.
(k - 830)**2*(k + 3)/4
Find h such that 7*h**5 + 34*h**4 + 36*h**3 - 26*h**2 - 59*h - 24 = 0.
-3, -1, 8/7
Find c, given