Calculate f.
-5, -3/4, 26
Determine h, given that h**4/3 + h**3/3 - 7*h**2/3 - 13*h/3 - 2 = 0.
-2, -1, 3
Factor 5*j**3/4 - 215*j**2/4 - 445*j/4 - 225/4.
5*(j - 45)*(j + 1)**2/4
Factor -2*l**4/3 - 26*l**3/3 - 80*l**2/3 - 24*l.
-2*l*(l + 2)**2*(l + 9)/3
Determine r so that 2*r**3 + 9*r**2 - 38*r - 21 = 0.
-7, -1/2, 3
Find z such that -z**2/2 + 312*z - 48672 = 0.
312
Factor 219*j**4 - 221*j**3 - 217*j**2 + 221*j - 2.
(j - 1)**2*(j + 1)*(219*j - 2)
Factor 3*b**5 + 17*b**4 + 30*b**3 + 12*b**2 - 8*b.
b*(b + 2)**3*(3*b - 1)
Solve -2*n**2 - 232*n = 0.
-116, 0
Factor 2*g**3 - 20*g**2 + 18*g.
2*g*(g - 9)*(g - 1)
Factor -m**3/3 + 5*m**2 - 12*m.
-m*(m - 12)*(m - 3)/3
Factor -1024*k**5 - 5760*k**4 - 6960*k**3 + 3170*k**2 - 420*k + 18.
-2*(k + 3)**2*(8*k - 1)**3
Suppose 121*u**5/9 - 451*u**4/3 + 269*u**3 - 407*u**2/9 + 2*u = 0. Calculate u.
0, 1/11, 2, 9
Let -4*f**4 - 16*f**3 - 11*f**2 + 4*f + 3 = 0. Calculate f.
-3, -1, -1/2, 1/2
Solve -2*s**3/19 - 258*s**2/19 = 0 for s.
-129, 0
Factor 5*c**2/4 - 2115*c/4 - 3195/2.
5*(c - 426)*(c + 3)/4
Factor 2*a**3 - 416*a**2.
2*a**2*(a - 208)
Suppose 4*t**3/7 + 172*t**2 + 12320*t - 94864 = 0. What is t?
-154, 7
Suppose p**3 + 27*p**2 + 186*p + 160 = 0. What is p?
-16, -10, -1
Factor 4*f**4/3 - 3*f**3 + 2*f**2 - f/3.
f*(f - 1)**2*(4*f - 1)/3
Factor 16*k**4/5 - 68*k**3/5 - 84*k**2/5.
4*k**2*(k + 1)*(4*k - 21)/5
Factor -2*d**2/5 - 693*d/10 - 173/10.
-(d + 173)*(4*d + 1)/10
Solve 3*c**5 - 27*c**4 + 21*c**3 + 27*c**2 - 24*c = 0 for c.
-1, 0, 1, 8
Solve -2*x**2/9 - 2*x/9 + 4/9 = 0 for x.
-2, 1
Solve -2*k**4 + 47*k**3 - 21*k**2 - 47*k + 23 = 0.
-1, 1/2, 1, 23
Solve 2*j**3/19 + 1008*j**2/19 + 169344*j/19 + 9483264/19 = 0 for j.
-168
Let 2*f**2/3 - 1666*f/3 + 1664/3 = 0. Calculate f.
1, 832
Factor -4*r**2 + 76*r - 192.
-4*(r - 16)*(r - 3)
Suppose -2*x**3/7 + 4*x**2 - 130*x/7 + 200/7 = 0. What is x?
4, 5
Solve -3*p**3 + 75*p**2 + 3*p - 75 = 0 for p.
-1, 1, 25
Solve -3*j**3/2 + 3*j**2 + 33*j/2 - 18 = 0.
-3, 1, 4
Factor -y**4 + 452*y**3 - 451*y**2.
-y**2*(y - 451)*(y - 1)
Find z, given that 35*z**5 + 395*z**4 + 950*z**3 - 1020*z**2 - 360*z = 0.
-6, -2/7, 0, 1
Determine r, given that -2*r**4/13 - 256*r**3/13 - 9372*r**2/13 - 75520*r/13 - 174050/13 = 0.
-59, -5
Factor 2*q**3/3 - 14*q**2/3 - 98*q/3 + 686/3.
2*(q - 7)**2*(q + 7)/3
Determine r, given that -r**5/5 - 3*r**4/5 + 2*r**3/5 + 6*r**2/5 - r/5 - 3/5 = 0.
-3, -1, 1
Factor 2*t**2 - 50*t + 92.
2*(t - 23)*(t - 2)
Suppose -6*w**3 + 7*w**2 + 11*w - 2 = 0. Calculate w.
-1, 1/6, 2
Factor -s**4 + 20*s**3 - 22*s**2 - 780*s - 1521.
-(s - 13)**2*(s + 3)**2
Factor 2*h**2/9 + 5020*h/9 + 3150050/9.
2*(h + 1255)**2/9
Find p, given that -4*p**2 + 140*p - 136 = 0.
1, 34
Solve -270*u**5 - 2115*u**4 + 5385*u**3 - 4490*u**2 + 1580*u - 200 = 0 for u.
-10, 1/3, 1/2, 2/3
Factor -2*q**4 - 84*q**3 + 21952*q.
-2*q*(q - 14)*(q + 28)**2
Factor 7*w**4/3 - 68*w**3/3 + 92*w**2/3 + 32*w/3.
w*(w - 8)*(w - 2)*(7*w + 2)/3
Solve o**5/4 + 3*o**4/4 - 5*o**3/2 = 0 for o.
-5, 0, 2
Factor 4*t**4 - 256*t**3 + 744*t**2 - 736*t + 244.
4*(t - 61)*(t - 1)**3
Factor -20*g**2 + 8015*g + 2005.
-5*(g - 401)*(4*g + 1)
Find h such that -15*h**5 - 111*h**4 - 27*h**3 + 111*h**2 + 42*h = 0.
-7, -1, -2/5, 0, 1
Solve -6*n**3 + 112*n**2 - 250*n - 96 = 0.
-1/3, 3, 16
Suppose b**4/3 + 2014*b**3/3 + 1014049*b**2/3 = 0. What is b?
-1007, 0
Let -4*z**3 + 8*z**2 + 20*z - 24 = 0. What is z?
-2, 1, 3
Suppose 3*m**3 - 159*m**2 - 912*m + 2436 = 0. What is m?
-7, 2, 58
Factor -4*c**4 + 920*c**3 - 72000*c**2 + 2025000*c - 8437500.
-4*(c - 75)**3*(c - 5)
Suppose 3*i**4 - 21*i**3 - 27*i**2 + 345*i - 300 = 0. What is i?
-4, 1, 5
Determine u so that -2*u**4 + 24*u**3/5 + 142*u**2/5 - 84*u + 144/5 = 0.
-4, 2/5, 3
What is x in -x**5/3 + 118*x**4/3 + 239*x**3/3 + 40*x**2 = 0?
-1, 0, 120
Find s, given that -5*s**3/4 - 5*s**2/2 - 5*s/4 = 0.
-1, 0
Factor 2*w**3/7 + 4*w**2 + 22*w/7 - 52/7.
2*(w - 1)*(w + 2)*(w + 13)/7
Factor -f**4 - 16*f**3 - 60*f**2.
-f**2*(f + 6)*(f + 10)
Find t, given that -3*t**2/2 - 33*t/2 - 15 = 0.
-10, -1
Factor -2*h**3/13 - 4*h**2/13 + 14*h/13 - 8/13.
-2*(h - 1)**2*(h + 4)/13
Factor -2*y**4 - 154*y**3 + 996*y**2 - 64*y - 5312.
-2*(y - 4)**2*(y + 2)*(y + 83)
Let -36*o**4 + 64*o**3 = 0. Calculate o.
0, 16/9
Factor -3*r**2 + 186*r.
-3*r*(r - 62)
Suppose -2*u**3/3 - 1456*u**2/9 + 54*u = 0. What is u?
-243, 0, 1/3
Determine j, given that -2*j**5/7 + 4*j**4/7 + 2*j**3/7 - 4*j**2/7 = 0.
-1, 0, 1, 2
Let 8*g**5/5 + 6*g**4 + 8*g**3 + 4*g**2 - 2/5 = 0. What is g?
-1, 1/4
Find u such that u**2/9 - 22*u/9 + 40/9 = 0.
2, 20
Let -16*u**3 + 52*u**2 + 376*u + 308 = 0. What is u?
-11/4, -1, 7
Factor 45*q**5 + 80*q**4 - 20*q**3 - 90*q**2 - 25*q + 10.
5*(q - 1)*(q + 1)**3*(9*q - 2)
Determine y so that 8*y**5 - 172*y**4 + 364*y**3 + 316*y**2 - 228*y = 0.
-1, 0, 1/2, 3, 19
Find k such that 2*k**2/3 - 346*k/3 - 700/3 = 0.
-2, 175
Factor o**4/6 + 83*o**3/3 + 54*o**2 - 332*o/3 - 656/3.
(o - 2)*(o + 2)**2*(o + 164)/6
Suppose 54*h**4 + 165*h**3 + 171*h**2 + 63*h + 3 = 0. Calculate h.
-1, -1/18
Find x, given that -2*x**3 + 6*x**2 + 8*x = 0.
-1, 0, 4
Factor -5*i**2 - 105*i + 650.
-5*(i - 5)*(i + 26)
Solve -j**5/9 + 2*j**3/3 - 8*j**2/9 + j/3 = 0 for j.
-3, 0, 1
Suppose 2*n**3 + 12*n**2 - 50*n + 36 = 0. What is n?
-9, 1, 2
Solve -2*c**4/5 - 156*c**3/5 - 3194*c**2/5 - 5928*c/5 - 2888/5 = 0 for c.
-38, -1
Factor -3*l**2/2 - 30*l + 234.
-3*(l - 6)*(l + 26)/2
Solve c**4/6 - c**3/3 - 20*c**2/3 - 32*c/3 = 0.
-4, -2, 0, 8
Factor r**2 + 9*r + 14.
(r + 2)*(r + 7)
Let 4*j**5 - 44*j**4 + 64*j**3 + 896*j**2 - 4096*j + 5120 = 0. Calculate j.
-5, 4
Factor -4*f**5 - 296*f**4 - 1668*f**3 - 2448*f**2.
-4*f**2*(f + 3)**2*(f + 68)
Determine l, given that 3*l**4/2 - 234*l**3 - 1425*l**2/2 - 477*l = 0.
-2, -1, 0, 159
What is q in 20*q**3 - 88*q**2 + 116*q - 48 = 0?
1, 12/5
Solve -d**5/9 + 2*d**4/3 - 10*d**3/9 + 11*d/9 - 2/3 = 0 for d.
-1, 1, 2, 3
Find f such that -2*f**5/13 + 94*f**4/13 - 1532*f**3/13 + 9540*f**2/13 - 14850*f/13 + 6750/13 = 0.
1, 15
Suppose -42*n**4 - 124*n**3 + 10*n**2 + 12*n = 0. Calculate n.
-3, -2/7, 0, 1/3
Determine f, given that -45*f**4 + 750*f**3 - 3320*f**2 + 1970*f - 315 = 0.
1/3, 7, 9
Solve -a**3/5 + 2*a**2 - 3*a/5 - 54/5 = 0 for a.
-2, 3, 9
Factor -3*g**2/7 + 177*g/7 - 810/7.
-3*(g - 54)*(g - 5)/7
Factor -4*n**4 - 24*n**3.
-4*n**3*(n + 6)
What is q in q**4/4 - 3*q**3 + 33*q**2/4 - q/2 - 12 = 0?
-1, 2, 3, 8
Determine w, given that -4*w**2/5 + 6*w/5 + 4/5 = 0.
-1/2, 2
Factor 245*z**4 - 140*z**3 - 855*z**2 + 810*z.
5*z*(z + 2)*(7*z - 9)**2
Factor 4*h**3 - 144*h**2 + 1296*h.
4*h*(h - 18)**2
Factor -2*q**2/17 - 128*q/17 - 126/17.
-2*(q + 1)*(q + 63)/17
Factor -2*a**2 - 28*a - 98.
-2*(a + 7)**2
What is w in 4*w**3/7 + 2624*w**2/7 - 4*w/7 - 2624/7 = 0?
-656, -1, 1
Let -u**5 + 2*u**4 + 19*u**3 + 28*u**2 + 12*u = 0. Calculate u.
-2, -1, 0, 6
Factor -f**5 - 586*f**4 - 128478*f**3 - 12446784*f**2 - 441536697*f + 933897762.
-(f - 2)*(f + 147)**4
Let 2*h**2/3 + 98*h/3 - 424/3 = 0. What is h?
-53, 4
Factor 5*q**2 - 1900*q + 180500.
5*(q - 190)**2
Factor 3364*c**2/3 + 116*c + 3.
(58*c + 3)**2/3
Factor 3*w**2/2 - 45*w/2.
3*w*(w - 15)/2
Factor -k**2 + 147*k + 148.
-(k - 148)*(k + 1)
Factor -3*o**4 - 90*o**3 + 441*o**2 + 1140*o + 612.
-3*(o - 6)*(o + 1)**2*(o + 34)
Factor -3*g**2 - 6*g + 105.
-3*(g - 5)*(g + 7)
Factor 3*i**4/5 + 9*i**3/5 - 69*i**2/5 + 99*i/5 - 42/5.
3*(i - 2)*(i - 1)**2*(i + 7)/5
Solve 3*v**4 - 39*v**3 + 141*v**2 - 177*v + 72 = 0.
1, 3, 8
Find w such that 2*w**5/17 - 42650*w**4/17 + 363804500*w**3/17 - 1551626192500*w**2/17 + 3308842855506250*w/17 - 2822442955746831250/17 = 0.
4265
Factor s**2 - 6362*s + 10118761.
(s - 3181)**2
Find r such that r**4/5 - 68*r**3/5 + 1086*r**2/5 + 476*r + 245 = 0.
-1, 35
Factor -5*q**3 - 570*q**2 - 16245*q.
-5*q*(q + 57)**2
Factor -2*n**3 - 20*n**2 + 26*n + 44.
-2*(n - 2)*(n + 1)*(n + 11)
Factor -4*u**2 - 2288*u + 2292.
-4*(u - 1)*(u + 573)
Let -4*x**3 + 68*x**2 + 1248*x + 4176 = 0. Calculate x.
-6, 29
Determine m so that -2*m**3/9 + 362*m**2/9 - 1840*m + 1800 = 0.
1, 90
Factor 3*i**4/4 - 132*i**3 - 801*i**2/2 - 402*i - 537/4.
3*(i - 179)*(i + 1)**3/4
Factor 75*d**5 - 1470*d**4 + 8283*d**3 - 10584*d**2 + 3888*d.
3*d*(d - 9)**2*(5*d - 4)**2
Solve -4*c**3/3 + 252*c**2 + 16*c/3 - 1008 = 0 for c.
-2, 2, 189
Determine w so tha