
-34, -2
Find f such that 33*f**3/4 - 54*f**2 + 405*f/4 - 81/2 = 0.
6/11, 3
Suppose -5*u**2/3 + 480*u - 34560 = 0. Calculate u.
144
Suppose 2*q**3 + 80*q**2 + 800*q = 0. What is q?
-20, 0
What is d in -300*d**5 + 1665*d**4 + 5247*d**3 + 4839*d**2 + 1773*d + 216 = 0?
-1, -3/5, -1/4, 8
Factor g**2/2 + 69*g/2 + 34.
(g + 1)*(g + 68)/2
Determine i so that 4*i**5 - 84*i**4 + 648*i**3 - 2248*i**2 + 3444*i - 1764 = 0.
1, 3, 7
Solve 5*y**5 + 25*y**4 - 5*y**3 - 85*y**2 + 60*y = 0.
-4, -3, 0, 1
Factor -3*a**2 - 87*a - 624.
-3*(a + 13)*(a + 16)
Solve -4*h**2 + 188*h - 528 = 0 for h.
3, 44
Factor 4*j**3 - 1020*j**2 - 2052*j - 1028.
4*(j - 257)*(j + 1)**2
Factor -u**3/3 - 4*u**2 + 31*u/3 + 14.
-(u - 3)*(u + 1)*(u + 14)/3
Determine n so that -2*n**2/15 + 92*n/15 - 6 = 0.
1, 45
Factor 39*k**5 + 123*k**4 + 135*k**3 + 57*k**2 + 6*k.
3*k*(k + 1)**3*(13*k + 2)
Factor -i**4 + 7*i**3 + 39*i**2 - 95*i + 50.
-(i - 10)*(i - 1)**2*(i + 5)
Factor -b**2/3 + 5*b/3.
-b*(b - 5)/3
Factor -p**3/6 - 29*p**2/2 - 841*p/2 - 24389/6.
-(p + 29)**3/6
Find c, given that 5*c**3 - 130*c**2 - 995*c + 1120 = 0.
-7, 1, 32
Solve b**4 + 3*b**3 - 18*b**2 - 32*b + 96 = 0 for b.
-4, 2, 3
Factor 2*w**3/13 - 10*w**2/13 + 8*w/13.
2*w*(w - 4)*(w - 1)/13
Factor -4*r**2 + 144*r + 304.
-4*(r - 38)*(r + 2)
Solve 2*l**3/3 - 6*l**2 - 2*l/3 + 6 = 0 for l.
-1, 1, 9
Factor -n**2 - 280*n + 564.
-(n - 2)*(n + 282)
Determine n so that 2*n**3/21 - 46*n**2/21 + 124*n/21 - 80/21 = 0.
1, 2, 20
Let 5*u**5/2 - 20*u**4 + 5*u**3/2 + 205*u**2 - 50*u - 500 = 0. What is u?
-2, 2, 5
Factor x**3 + 44*x**2 + 484*x.
x*(x + 22)**2
Factor 2*l**2 + 62*l - 64.
2*(l - 1)*(l + 32)
Suppose -2*t**5 - 22*t**4 - 70*t**3 - 50*t**2 = 0. What is t?
-5, -1, 0
Factor 30*u**3 + 4135*u**2 + 142140*u - 23805.
5*(u + 69)**2*(6*u - 1)
Suppose -f**5 + 85*f**4 + 352*f**3 + 356*f**2 = 0. What is f?
-2, 0, 89
Solve u**5/9 + 37*u**4/9 + 280*u**3/9 - 1196*u**2/9 + 160*u/9 + 1600/9 = 0.
-20, -1, 2
Determine i so that -2*i**5/19 - 12*i**4/19 + 22*i**3/19 + 48*i**2/19 - 56*i/19 = 0.
-7, -2, 0, 1, 2
Let -5*l**5 + 25*l**4 - 10*l**3 - 70*l**2 + 15*l + 45 = 0. What is l?
-1, 1, 3
Determine c, given that 2*c**3 + 62*c**2 + 118*c + 58 = 0.
-29, -1
Factor 4*p**4 - 32*p**3 - 56*p**2 + 192*p - 108.
4*(p - 9)*(p - 1)**2*(p + 3)
Factor -2*x**3/13 - 88*x**2/13 + 818*x/13 - 56.
-2*(x - 7)*(x - 1)*(x + 52)/13
Factor -4*o**5 + 792*o**4 - 38404*o**3 - 79200*o**2 - 40000*o.
-4*o*(o - 100)**2*(o + 1)**2
Factor 3*o**2 - 180*o + 177.
3*(o - 59)*(o - 1)
Let 8*p**5/3 - 8*p**4 - 86*p**3/3 + 16*p**2/3 + 22*p + 20/3 = 0. Calculate p.
-2, -1/2, 1, 5
Find w such that -w**2/10 + 99*w/2 + 1503/5 = 0.
-6, 501
Determine i, given that -4*i**5/5 + 25*i**4 - 143*i**3/5 - 212*i**2/5 + 12*i = 0.
-1, 0, 1/4, 2, 30
Determine v, given that 2*v**2/5 + 8*v/5 + 8/5 = 0.
-2
Factor -3*s**3/2 - 66*s**2 - 375*s/2 - 123.
-3*(s + 1)*(s + 2)*(s + 41)/2
Factor -14*h**3/3 + 10*h**2/3 + 88*h/3 + 8.
-2*(h - 3)*(h + 2)*(7*h + 2)/3
Factor -63*d**2/8 + 753*d/8 - 105/4.
-3*(3*d - 35)*(7*d - 2)/8
Solve 4*m**4 - 688*m**3/3 + 732*m**2 - 1952*m/3 + 144 = 0.
1/3, 1, 2, 54
Find y such that 5*y**5 + 365*y**4 + 6090*y**3 - 20900*y**2 + 14440*y = 0.
-38, 0, 1, 2
Factor 3*s**2/4 + 30*s - 123/4.
3*(s - 1)*(s + 41)/4
Factor -10*u**4 + 425*u**3 - 4620*u**2 + 2205*u.
-5*u*(u - 21)**2*(2*u - 1)
Suppose 2*v**4 - 106*v**3 + 104*v**2 = 0. Calculate v.
0, 1, 52
Factor 8*v**2 - 1044*v + 520.
4*(v - 130)*(2*v - 1)
Factor -2*t**2/5 + 46*t/5 + 48/5.
-2*(t - 24)*(t + 1)/5
Factor f**3 + 44*f**2 + 624*f + 2880.
(f + 12)**2*(f + 20)
Factor 2*p**3 + 566*p**2 - 3458*p + 2890.
2*(p - 5)*(p - 1)*(p + 289)
Factor -4*w**2/3 + 107*w/3 - 88.
-(w - 24)*(4*w - 11)/3
What is y in -4*y**3/9 - 74*y**2/9 + 40*y/9 + 38/9 = 0?
-19, -1/2, 1
Factor -2*b**2 - 416*b - 414.
-2*(b + 1)*(b + 207)
Solve -4*v**4 + 604*v**3 - 21216*v**2 - 121680*v = 0.
-5, 0, 78
Find r such that -108*r**4 - 72*r**3 + 393*r**2 + 63*r - 294 = 0.
-2, -1, 7/6
Factor -6*o**4 - 69*o**3/2 - 135*o**2/2 - 111*o/2 - 33/2.
-3*(o + 1)**3*(4*o + 11)/2
Factor o**5 - 3*o**3 - 2*o**2.
o**2*(o - 2)*(o + 1)**2
Let 4*d**2 + 76*d + 72 = 0. Calculate d.
-18, -1
Determine o, given that -3*o**4 + 15*o**3 - 3*o**2 - 63*o + 54 = 0.
-2, 1, 3
Find c such that c**3/4 + 3*c**2/4 - 135*c/2 = 0.
-18, 0, 15
Solve 169*j**5 + 1118*j**4 - 2064*j**3 - 1568*j**2 - 256*j = 0 for j.
-8, -4/13, 0, 2
Factor 3*w**2/5 - 174*w/5 - 177/5.
3*(w - 59)*(w + 1)/5
Factor -2*t**4 + 2168*t**3 - 587528*t**2.
-2*t**2*(t - 542)**2
Determine w so that -w**5/3 - 59*w**4/3 + 107*w**3 + 59*w**2/3 - 320*w/3 = 0.
-64, -1, 0, 1, 5
Suppose -2*d**2/5 - 88*d/5 - 918/5 = 0. Calculate d.
-27, -17
Factor 2*f**3/5 + 1436*f**2/5 + 2866*f/5 + 1432/5.
2*(f + 1)**2*(f + 716)/5
What is d in -d**2/9 - 74*d/3 - 221/9 = 0?
-221, -1
Factor 3*b**3/7 - 60*b**2/7 + 51*b/7 + 114/7.
3*(b - 19)*(b - 2)*(b + 1)/7
Find s such that -4*s**5/7 - 100*s**4/7 - 93*s**3/7 + 74*s**2/7 + 47*s/7 - 24/7 = 0.
-24, -1, 1/2
Suppose 2*q**3/3 - 1406*q**2/3 - 2*q/3 + 1406/3 = 0. What is q?
-1, 1, 703
Factor -125*b**2 + 200*b - 80.
-5*(5*b - 4)**2
Suppose 2*h**4 + 738*h**3 + 8664*h**2 + 34400*h + 45696 = 0. What is h?
-357, -4
Factor -10*m**2 - 176*m - 390.
-2*(m + 15)*(5*m + 13)
Find a such that -24*a**4 - 1660*a**3 - 14652*a**2 - 15140*a - 2124 = 0.
-59, -9, -1, -1/6
Let k**5/5 - 3*k**4/5 + 2*k**3/5 = 0. What is k?
0, 1, 2
Suppose 2*q**3/5 + 26*q**2 - 136*q/5 - 264/5 = 0. What is q?
-66, -1, 2
Suppose -6*m**2 + 27*m/8 = 0. Calculate m.
0, 9/16
Determine c so that 4*c**3/7 + 332*c**2/7 + 5580*c/7 - 8100 = 0.
-45, 7
Factor -4*d**5 - 16*d**4 - 16*d**3 + 8*d**2 + 20*d + 8.
-4*(d - 1)*(d + 1)**3*(d + 2)
Factor 12*y**3 - 64*y**2 + 20*y.
4*y*(y - 5)*(3*y - 1)
Factor -3*b**2 - 51*b - 90.
-3*(b + 2)*(b + 15)
Factor 2*h**3/7 - 20*h**2 + 2706*h/7 - 8712/7.
2*(h - 33)**2*(h - 4)/7
Find y, given that -5*y**4 + 9365*y**3 - 4399185*y**2 + 13132075*y - 8742250 = 0.
1, 2, 935
Factor -18*s**4/17 - 138*s**3/17 + 208*s**2/17 - 72*s/17.
-2*s*(s + 9)*(3*s - 2)**2/17
Factor -i**4/7 + 10*i**3/7 - 4*i**2 + 24*i/7.
-i*(i - 6)*(i - 2)**2/7
Find d such that -4*d**2 + 284*d - 3360 = 0.
15, 56
Factor 5*f**2 + 105*f - 110.
5*(f - 1)*(f + 22)
Let 4*q**3 - 523*q**2 - 134*q + 393 = 0. Calculate q.
-1, 3/4, 131
Determine u so that 3*u**3/4 + 573*u**2/4 - 1155*u/4 + 579/4 = 0.
-193, 1
Factor 2*t**2/19 - 7212*t/19 + 6501618/19.
2*(t - 1803)**2/19
Find f such that 2*f**4/5 - 458*f**3/5 - 92*f**2 = 0.
-1, 0, 230
Solve 4*f**3/7 - 48*f**2/7 + 144*f/7 = 0.
0, 6
Let r**3/4 + 279*r**2/2 - 1128*r + 2264 = 0. Calculate r.
-566, 4
Factor -3*f**2/5 - 252*f/5.
-3*f*(f + 84)/5
What is d in 55*d**2 - 215*d - 300 = 0?
-12/11, 5
Factor -3*p**3 - 3*p**2 + 15*p - 9.
-3*(p - 1)**2*(p + 3)
Factor 5*k**3 - 20*k**2 - 25*k.
5*k*(k - 5)*(k + 1)
Find t such that -6*t**2 - 402*t - 13467/2 = 0.
-67/2
Factor -5*w**3 - 420*w**2 - 2380*w - 3120.
-5*(w + 2)*(w + 4)*(w + 78)
Determine p so that 9*p**5 - 240*p**4 + 1677*p**3 - 1014*p**2 = 0.
0, 2/3, 13
Factor -4*u**3 - 20*u**2 + 56*u.
-4*u*(u - 2)*(u + 7)
Factor o**4 - 248*o**3 + 15622*o**2 - 30504*o + 15129.
(o - 123)**2*(o - 1)**2
Suppose -1789555*n**4 + 24902540*n**3 + 2112960*n**2 + 59600*n + 560 = 0. What is n?
-2/71, 14
Factor -2*q**2/3 - 14*q.
-2*q*(q + 21)/3
What is y in 2*y**2 - 106*y - 220 = 0?
-2, 55
Factor -z**3 - 139*z**2.
-z**2*(z + 139)
Suppose 5*t**3 + 35*t**2 + 40*t - 80 = 0. What is t?
-4, 1
Let 3*a**3/8 - 21*a**2/8 - 21*a/4 + 18 = 0. Calculate a.
-3, 2, 8
Solve -4*q**4/3 - 44*q**3 + 296*q**2 - 1840*q/3 + 416 = 0 for q.
-39, 2
Solve -y**5 - 13*y**4 - 58*y**3 - 106*y**2 - 85*y - 25 = 0 for y.
-5, -1
Factor 2*v**2/9 - 104*v/9 - 106/9.
2*(v - 53)*(v + 1)/9
Factor -z**2/2 + 43*z/2.
-z*(z - 43)/2
Solve q**4/2 - 19*q**3/2 + 8*q**2 + 18*q = 0 for q.
-1, 0, 2, 18
What is t in -2*t**3/9 - 146*t**2/9 + 152*t/3 = 0?
-76, 0, 3
Let h**5/2 + 61*h**4/4 + 6*h**3 - 187*h**2/4 - 53*h - 15 = 0. What is h?
-30, -1, -1/2, 2
Let 2*a**3/7 - 446*a**2/7 + 3706*a - 118810/7 = 0. Calculate a.
5, 109
Determine o, given that 3*o**2 + 270*o + 1032 = 0.
-86, -4
Let -4*m**5 - 16*m**4 + 44*m**3 - 24*m**2 = 0. Calculate m.
-6, 0, 1
What is h in h**2/4 - 28*h + 784 = 0?
56
Find i, given that 2*i**2/7 + 760*i/7 + 216 = 0.
-378, -2
Find j, given that -5*j**3 + 75*j**2 + 365*j + 285 = 0.
-3, -1, 19
Find y such