f.
2*f*(f - 294)**2*(f + 2)
Factor -4*t**2 + 12088*t - 12084.
-4*(t - 3021)*(t - 1)
Solve r**3/3 + 89*r**2 - 179*r + 269/3 = 0 for r.
-269, 1
Factor 3*w**4 + 288*w**3 + 1104*w**2.
3*w**2*(w + 4)*(w + 92)
Factor -4*a**3 - 4272*a**2 - 8532*a - 4264.
-4*(a + 1)**2*(a + 1066)
Factor 4*i**2 + 114*i + 56.
2*(i + 28)*(2*i + 1)
Factor -b**3/2 + 61*b**2/2 + 125*b/2 + 63/2.
-(b - 63)*(b + 1)**2/2
Determine o so that -49*o**5/6 - 7*o**4/2 + 73*o**3/6 + 17*o**2/6 - 4*o + 2/3 = 0.
-1, 2/7, 1
Factor 5*r**3/2 - 235*r**2/2 + 1540*r - 3630.
5*(r - 22)**2*(r - 3)/2
Factor i**2/3 - 2*i/3 - 1.
(i - 3)*(i + 1)/3
Suppose 22*m**3/7 - 12*m**2/7 - 22*m/7 + 12/7 = 0. What is m?
-1, 6/11, 1
Factor i**3/3 + 2*i**2 + 5*i/3.
i*(i + 1)*(i + 5)/3
Factor -z**3 + 2755*z**2/4 + 689*z/4.
-z*(z - 689)*(4*z + 1)/4
Find w such that 8*w**4/9 + 38*w**3/3 + 44*w**2/3 + 26*w/9 = 0.
-13, -1, -1/4, 0
Suppose -3*i**3 - 576*i**2 + 1164*i = 0. What is i?
-194, 0, 2
Determine m, given that -m**4/2 + 15*m**2/2 + 5*m - 12 = 0.
-3, -2, 1, 4
Find n such that n**3/4 + 43*n**2/4 + 231*n/4 + 333/4 = 0.
-37, -3
Suppose 2*i**3 - 64*i**2 + 454*i + 520 = 0. Calculate i.
-1, 13, 20
What is z in 4*z**2 - 316*z + 2760 = 0?
10, 69
Factor -m**2/2 + 455*m - 207025/2.
-(m - 455)**2/2
Let 2*b**3 - 180*b**2 = 0. What is b?
0, 90
Find h such that 2*h**2/7 + 74*h/7 - 60 = 0.
-42, 5
Factor -m**3/3 + 5*m**2/3 + 8*m/3 - 4.
-(m - 6)*(m - 1)*(m + 2)/3
Factor i**2/4 - 2518*i + 6340324.
(i - 5036)**2/4
Factor j**2 - 52*j + 676.
(j - 26)**2
Factor -r**4/5 + 104*r**3/5 - 3544*r**2/5 + 8736*r - 35280.
-(r - 42)**2*(r - 10)**2/5
Find j such that -4*j**2/9 - 140*j/9 + 800/9 = 0.
-40, 5
Determine d, given that -3*d**2/7 - 312*d/7 - 8112/7 = 0.
-52
Solve m**5/4 + m**4/2 - 18*m**3 - 109*m**2/2 - 217*m/4 - 18 = 0 for m.
-8, -1, 9
Factor -7*p**4 - 103*p**3 - 68*p**2 + 28*p.
-p*(p + 1)*(p + 14)*(7*p - 2)
Find c, given that -79*c**5/4 + 471*c**4/4 - 693*c**3/4 + 289*c**2/4 + 3*c = 0.
-3/79, 0, 1, 4
Factor 9*u**3 + 78*u**2 - 116*u + 40.
(u + 10)*(3*u - 2)**2
Solve 4*j**5 - 12*j**4 - 20*j**3 + 108*j**2 - 128*j + 48 = 0.
-3, 1, 2
Solve 240*p**4 - 10520*p**3 - 23545*p**2 - 17160*p - 4140 = 0 for p.
-3/4, -2/3, 46
Factor 8*g**3 - 1562*g**2 + 28390*g - 7000.
2*(g - 175)*(g - 20)*(4*g - 1)
Suppose -27*n**3/8 + 39*n**2/4 + 9*n/8 = 0. What is n?
-1/9, 0, 3
Solve -2*z**4 + 16*z**3 + 118*z**2 + 156*z = 0 for z.
-3, -2, 0, 13
What is f in -3*f**3/5 + 3*f**2/5 + 3*f/5 - 3/5 = 0?
-1, 1
Factor -i**3/5 + 192*i**2/5 - 1488*i/5 + 2944/5.
-(i - 184)*(i - 4)**2/5
Factor 4*b**5 + 44*b**4 + 132*b**3 + 148*b**2 + 56*b.
4*b*(b + 1)**2*(b + 2)*(b + 7)
Factor 3*s**4 + 42*s**3 + 39*s**2 - 756*s + 972.
3*(s - 2)**2*(s + 9)**2
Factor -o**4/2 - 2*o**3 + o**2 + 6*o - 9/2.
-(o - 1)**2*(o + 3)**2/2
Let -2*a**5/5 - 382*a**4/5 + 1158*a**3/5 - 1162*a**2/5 + 388*a/5 = 0. Calculate a.
-194, 0, 1
Suppose 14*v**3/11 + 69976*v**2/11 + 87450006*v/11 + 24980004/11 = 0. What is v?
-2499, -2/7
Let -80*s**5/3 + 440*s**4/3 - 665*s**3/3 + 55*s**2 + 30*s = 0. Calculate s.
-1/4, 0, 3/4, 2, 3
Solve -16*b**2 + 44*b + 180 = 0 for b.
-9/4, 5
Solve -2*h**5/3 - 2*h**4 - 2*h**3/3 + 2*h**2 + 4*h/3 = 0.
-2, -1, 0, 1
Factor -5*n**2 - 27960*n - 39088080.
-5*(n + 2796)**2
Factor 3*w**2 - 84*w + 225.
3*(w - 25)*(w - 3)
Determine f so that -5*f**3/2 + 27*f**2/4 + 55*f/4 - 3 = 0.
-3/2, 1/5, 4
Determine k, given that -2*k**4/15 + 14*k**3/15 - 4*k**2/15 - 56*k/15 + 16/5 = 0.
-2, 1, 2, 6
Determine z, given that 7*z**5/5 - 166*z**4/5 - 48*z**3/5 = 0.
-2/7, 0, 24
What is n in 4*n**2 + 7328*n + 3356224 = 0?
-916
Determine j so that 3*j**2/5 + 828*j/5 - 831/5 = 0.
-277, 1
Suppose 21*b**4 + 48*b**3 - 261*b**2 + 132*b + 60 = 0. Calculate b.
-5, -2/7, 1, 2
What is z in 5*z**3 - 48270*z**2 + 155332860*z - 166620381160 = 0?
3218
Determine p, given that 7*p**2/4 + 171*p - 49 = 0.
-98, 2/7
Let 2*i**4/11 + 8*i**3/11 - 38*i**2/11 - 92*i/11 - 48/11 = 0. What is i?
-6, -1, 4
Factor -4*m**4 - 524*m**3 - 3000*m**2.
-4*m**2*(m + 6)*(m + 125)
Let -18*u**4/5 + 144*u**3/5 + 338*u**2/5 + 216*u/5 + 8 = 0. Calculate u.
-1, -2/3, -1/3, 10
Factor -2*m**2 + 58*m + 60.
-2*(m - 30)*(m + 1)
Factor -2*n**4 - 6*n**3 + 20*n**2.
-2*n**2*(n - 2)*(n + 5)
Factor 4*x**4 - 16*x**2.
4*x**2*(x - 2)*(x + 2)
Factor 12*d**4/7 - 393*d**3/7 + 4257*d**2/7 - 14883*d/7 - 3993/7.
3*(d - 11)**3*(4*d + 1)/7
Suppose -m**3/7 - 1380*m**2/7 + m/7 + 1380/7 = 0. What is m?
-1380, -1, 1
Solve -3*d**2/2 - 1167*d - 453963/2 = 0.
-389
Factor -2*q**5/21 - 212*q**4/21 - 8528*q**3/21 - 156832*q**2/21 - 1195168*q/21 - 1827904/21.
-2*(q + 2)*(q + 26)**4/21
Solve w**4/2 - 19*w**3/2 + 31*w**2 + 62*w - 84 = 0 for w.
-2, 1, 6, 14
Factor -h**5 + 2*h**3 - h.
-h*(h - 1)**2*(h + 1)**2
Solve 5*i**4 + 5*i**3 - 30*i**2 = 0 for i.
-3, 0, 2
Let -m**4/9 + 7*m**3/9 - 2*m**2/3 - 28*m/9 + 40/9 = 0. Calculate m.
-2, 2, 5
Let k**5/6 - 2*k**4/3 - 7*k**3/2 - 2*k**2/3 + 14*k/3 = 0. What is k?
-2, 0, 1, 7
Let k**5/3 - 10*k**4/3 + 13*k**3/3 + 28*k**2/3 - 28*k/3 - 32/3 = 0. What is k?
-1, 2, 8
Factor 2*s**4 + 30*s**3 - 492*s**2 + 1984*s - 2496.
2*(s - 4)**2*(s - 3)*(s + 26)
Let 2*s**2 - 726*s + 7060 = 0. Calculate s.
10, 353
Solve 7*c**4/4 + 177*c**3/4 - 73*c**2/2 - 105*c - 26 = 0.
-26, -1, -2/7, 2
Factor -2*w**4 - 14*w**3 - 30*w**2 - 18*w.
-2*w*(w + 1)*(w + 3)**2
Let l**4/2 - 5*l**3/2 + 3*l**2/2 + 5*l/2 - 2 = 0. Calculate l.
-1, 1, 4
Find l such that 3*l**4 - 113*l**3 + 1237*l**2 - 3043*l - 1156 = 0.
-1/3, 4, 17
Factor -1988*p**3 + 1996*p**2 - 8*p.
-4*p*(p - 1)*(497*p - 2)
Find j, given that 48*j**5 - 29708*j**4 - 92032*j**3 - 15072*j**2 + 89600*j - 19904 = 0.
-2, 1/4, 2/3, 622
Factor -2*q**2/17 + 184*q/17.
-2*q*(q - 92)/17
Factor 14125*w**3/3 + 56495*w**2/3 + 56480*w/3 - 20/3.
5*(w + 2)**2*(2825*w - 1)/3
Suppose 3*m**5/4 + 3*m**4 - 33*m**3/4 + 9*m**2/2 = 0. Calculate m.
-6, 0, 1
Factor 2*m**3 - 34*m**2 - 40*m + 72.
2*(m - 18)*(m - 1)*(m + 2)
Find w such that 9*w**4 - 141*w**3 - 69*w**2 + 321*w + 240 = 0.
-1, 5/3, 16
Factor -4*i**3/3 + 12*i**2 - 32*i + 64/3.
-4*(i - 4)**2*(i - 1)/3
Solve -5*i**3 - 75*i**2 - 195*i + 275 = 0 for i.
-11, -5, 1
Factor 3*c**2 - 432*c + 15552.
3*(c - 72)**2
Determine v, given that -41*v**2/2 - 3815*v/2 - 93 = 0.
-93, -2/41
Determine j so that -2*j**5/3 + 10*j**4/3 + 2*j**3/3 - 58*j**2/3 + 8*j + 24 = 0.
-2, -1, 2, 3
What is o in -o**3 + 15*o**2 + o - 15 = 0?
-1, 1, 15
Find w, given that -4*w**2 - 4360*w + 8736 = 0.
-1092, 2
Factor -5*p**3 - 28*p**2 + 92*p - 32.
-(p - 2)*(p + 8)*(5*p - 2)
Suppose l**5/4 - 3*l**4/4 + 3*l**3/4 - l**2/4 = 0. Calculate l.
0, 1
Solve -3*c**2 - 534*c + 2184 = 0.
-182, 4
Factor 3*s**4 - 24*s**3 - 3*s**2 + 24*s.
3*s*(s - 8)*(s - 1)*(s + 1)
Find t such that t**4/2 + 6*t**3 + 19*t**2 + 6*t - 63/2 = 0.
-7, -3, 1
Factor n**4 + 26*n**3 + 189*n**2 + 216*n - 432.
(n - 1)*(n + 3)*(n + 12)**2
Find n such that -9*n**5 + 12*n**4 - 3*n**3 = 0.
0, 1/3, 1
Factor 4*w**4 + 108*w**3 + 672*w**2 - 784*w.
4*w*(w - 1)*(w + 14)**2
What is p in -18*p**4/5 + 14*p**3/5 + 2812*p**2/5 + 624*p/5 = 0?
-12, -2/9, 0, 13
Let 2*p**2/19 - 68*p/19 - 16 = 0. What is p?
-4, 38
Suppose -4*k**5 + 24*k**4 - 48*k**3 + 40*k**2 - 12*k = 0. What is k?
0, 1, 3
Solve -2*a**4/7 + 1742*a**3/7 - 506340*a**2/7 + 49282600*a/7 - 48778000/7 = 0 for a.
1, 290
Factor 2*a**2/9 - 572*a/9 + 190/3.
2*(a - 285)*(a - 1)/9
Let 3*k**5/2 - 18*k**4 + 135*k**3/2 - 75*k**2 = 0. What is k?
0, 2, 5
Factor 2*f**4 - 86*f**3 + 916*f**2 - 832*f.
2*f*(f - 26)*(f - 16)*(f - 1)
Factor -2*z**2/7 + 2*z/7 + 12/7.
-2*(z - 3)*(z + 2)/7
Factor -5*n**2 - 1035*n - 2050.
-5*(n + 2)*(n + 205)
Let -3*k**5/5 + 1049*k**4/5 + 70*k**3 = 0. Calculate k.
-1/3, 0, 350
Suppose -6*w**4 - 1322*w**3 - 6910*w**2 - 6414*w + 7740 = 0. Calculate w.
-215, -3, 2/3
Let -4*c**3 + 236*c**2 - 4556*c + 28900 = 0. What is c?
17, 25
Suppose -5*w**2/4 + 125*w/4 - 165/2 = 0. Calculate w.
3, 22
Suppose -4*m**3 - 76*m**2 - 360*m - 288 = 0. What is m?
-12, -6, -1
Suppose -6*k**4/7 - 136*k**3/7 - 1048*k**2/7 - 2944*k/7 - 1536/7 = 0. Calculate k.
-8, -6, -2/3
Factor 4*m**2 - 2888*m.
4*m*(m - 722)
Let y**3/4 - 23*y**2/4 + 143*y/4 - 121/4 = 0. What is y?
1, 11
What is t in t**4/4 + 45*t**3/4 + 163*t**2/4 - 45*t/4 - 41 = 0?
-41, -4, -1, 1
Suppose 3*v**5 - 12*v**4 - 12*v**3 + 102*v**2 - 135*v + 54 = 0. What is v?
-3, 1, 2, 3
Let -8*r**4/17 - 160*r**3/