
-2*(y + 4)*(y + 74)*(5*y + 2)
Factor s**5 + 237*s**4 + 14394*s**3 + 41770*s**2 + 41301*s + 13689.
(s + 1)**3*(s + 117)**2
Find r such that -2*r**2/3 - 134*r/3 + 136/3 = 0.
-68, 1
Let -5*a**4 + 30*a**2 - 40*a + 15 = 0. What is a?
-3, 1
What is o in -2*o**2/3 + 62*o/9 - 20/9 = 0?
1/3, 10
Factor 2*l**2/23 - 104*l/23 - 448/23.
2*(l - 56)*(l + 4)/23
Solve -2*x**2/9 - 52*x = 0 for x.
-234, 0
Solve 21*h**4/8 + 3*h**3/8 = 0 for h.
-1/7, 0
Suppose b**2/8 - 141*b/4 + 19881/8 = 0. What is b?
141
Factor 2*b**3 + 484*b**2/5 + 1542*b/5 + 108.
2*(b + 3)*(b + 45)*(5*b + 2)/5
Factor -5*n**3/6 + 10*n**2 - 55*n/6.
-5*n*(n - 11)*(n - 1)/6
Determine a, given that -3*a**4 - 450*a**3 - 22500*a**2 - 375000*a = 0.
-50, 0
Factor -4*m**4 + 44*m**3 - 72*m**2 - 432*m + 864.
-4*(m - 6)**2*(m - 2)*(m + 3)
Determine t so that -6*t**4/7 + 20*t**3/7 + 50*t**2/7 = 0.
-5/3, 0, 5
Factor 4*b**3/3 - 8*b**2 - 4*b/3 + 8.
4*(b - 6)*(b - 1)*(b + 1)/3
Factor -3*k**2/2 - 1971*k - 3939/2.
-3*(k + 1)*(k + 1313)/2
Suppose 18*p**3 + 580*p**2 + 1208*p + 240 = 0. Calculate p.
-30, -2, -2/9
Factor -d**3/6 + 31*d**2/3 + d/6 - 31/3.
-(d - 62)*(d - 1)*(d + 1)/6
Factor 2*j**3 + 66*j**2 + 64*j.
2*j*(j + 1)*(j + 32)
Factor -3*o**2 + 93*o - 174.
-3*(o - 29)*(o - 2)
Suppose g**4/3 - 4*g**3/3 - 11*g**2/3 - 2*g = 0. What is g?
-1, 0, 6
Find i such that 132*i**3 + 681*i**2 + 102*i - 15 = 0.
-5, -1/4, 1/11
Find y such that -2*y**5/5 - 4*y**4 + 226*y**3/5 - 204*y**2/5 = 0.
-17, 0, 1, 6
Factor -5*h**3/4 - 5*h**2 + 5*h + 20.
-5*(h - 2)*(h + 2)*(h + 4)/4
Let 8*c**4 - 134*c**3 - 42*c**2 + 134*c + 34 = 0. Calculate c.
-1, -1/4, 1, 17
Factor -5*a**3 - 1890*a**2 + 3795*a - 1900.
-5*(a - 1)**2*(a + 380)
Suppose 4*t**2/9 - 140*t/9 + 88/3 = 0. Calculate t.
2, 33
Factor -3*v**2/4 - 39*v/2 - 66.
-3*(v + 4)*(v + 22)/4
Solve -5*y**3 - 435*y**2 - 9240*y + 9680 = 0 for y.
-44, 1
Find a, given that 3*a**2 - 12*a - 36 = 0.
-2, 6
Find n, given that n**2/6 + 25*n/6 - 58/3 = 0.
-29, 4
Solve -2*t**2/9 + 20*t/9 - 32/9 = 0.
2, 8
Solve -g**2/2 + 154*g - 11858 = 0 for g.
154
Factor 116*p**2/17 - 122*p/17 + 6/17.
2*(p - 1)*(58*p - 3)/17
Solve 4*k**4/5 + 76*k**3/5 - 264*k**2/5 + 16*k/5 + 352/5 = 0.
-22, -1, 2
Determine q, given that 4*q**5 + 24*q**4 + 36*q**3 + 16*q**2 = 0.
-4, -1, 0
Factor -w**3/3 - 53*w**2/3 + 109*w/3 - 55/3.
-(w - 1)**2*(w + 55)/3
Let 2*m**3 - 20*m**2 + 42*m = 0. Calculate m.
0, 3, 7
Determine c, given that -c**3 + 34*c**2 + 71*c + 36 = 0.
-1, 36
Factor -v**3/3 - 16*v**2/3 + 77*v/3 - 20.
-(v - 3)*(v - 1)*(v + 20)/3
Find o, given that -51*o**4 - 318*o**3 + 387*o**2 + 822*o + 168 = 0.
-7, -1, -4/17, 2
Solve 4*t**2 - 1032*t + 66564 = 0.
129
Find h such that -h**2/4 - 1833*h/2 - 3359889/4 = 0.
-1833
Find m, given that -405*m**2 + 2340*m - 3380 = 0.
26/9
Factor -10*f**2/3 + 194*f/3 - 76/3.
-2*(f - 19)*(5*f - 2)/3
Solve -3*b**3 - 9*b**2 + 75*b - 63 = 0 for b.
-7, 1, 3
Factor 4*y**3 - 164*y**2 + 1456*y.
4*y*(y - 28)*(y - 13)
Find a, given that -2*a**4/3 + 10*a**3/3 + 62*a**2/3 + 86*a/3 + 12 = 0.
-2, -1, 9
Factor 3*z**2 - 3*z - 18.
3*(z - 3)*(z + 2)
Let -3*d**4/2 - 15*d**3 - 99*d**2/2 - 66*d - 30 = 0. Calculate d.
-5, -2, -1
Suppose 35*t**3 - 351*t**2 - 546*t - 160 = 0. Calculate t.
-1, -2/5, 80/7
Determine b, given that b**4 + 13*b**3/4 + 3*b**2/4 - 4*b - 1 = 0.
-2, -1/4, 1
Let 9*y**2/7 - 102*y/7 + 33/7 = 0. Calculate y.
1/3, 11
Factor -3*y**2/7 + 22110*y/7 - 40737675/7.
-3*(y - 3685)**2/7
Determine x so that -36*x**5/5 - 408*x**4/5 + 284*x**3/5 - 48*x**2/5 = 0.
-12, 0, 1/3
Factor 4*t**5 + 10*t**4 - 66*t**3 + 98*t**2 - 58*t + 12.
2*(t - 1)**3*(t + 6)*(2*t - 1)
Let -8*h**4 + 20*h**3 + 60*h**2 - 40*h - 32 = 0. What is h?
-2, -1/2, 1, 4
What is s in -s**3/5 + 4*s**2/5 - s/5 - 6/5 = 0?
-1, 2, 3
Determine w so that 5*w**4 - 90*w**3 - 115*w**2 + 360*w + 380 = 0.
-2, -1, 2, 19
Determine l so that -2*l**2/23 + 4960*l/23 - 3075200/23 = 0.
1240
Factor -3*c**3/2 + 16467*c**2/2 - 22588605*c/2 - 22605075/2.
-3*(c - 2745)**2*(c + 1)/2
Let -i**4 - 25*i**3 - 206*i**2 - 620*i - 600 = 0. Calculate i.
-10, -3, -2
What is x in 4*x**2 + 116*x = 0?
-29, 0
Factor -5*t**3 - 185*t**2 - 1195*t - 1015.
-5*(t + 1)*(t + 7)*(t + 29)
Factor -2*l**2 + 4*l.
-2*l*(l - 2)
Find y such that -y**2/2 + 278*y - 38642 = 0.
278
Factor 4*y**2 + 88*y/3 + 128/3.
4*(y + 2)*(3*y + 16)/3
Find c, given that -13*c**4 - 46*c**3 - 41*c**2 + 4*c + 12 = 0.
-2, -1, 6/13
Determine q, given that -2*q**2/3 + 70*q/3 + 148/3 = 0.
-2, 37
Factor a**4 - 1073*a**3 + 383418*a**2 - 45498220*a - 45882712.
(a - 358)**3*(a + 1)
Suppose z**2/3 - 34*z/3 - 35/3 = 0. Calculate z.
-1, 35
Factor s**3/2 + 11*s**2/2 - 185*s/2 + 525/2.
(s - 5)**2*(s + 21)/2
Suppose 5*z**4 + 45*z**3 + 90*z**2 = 0. What is z?
-6, -3, 0
Factor d**5/9 + 7*d**4/9 + 2*d**3 + 20*d**2/9 + 8*d/9.
d*(d + 1)*(d + 2)**3/9
Suppose -27*x**4/4 + 225*x**3 - 3597*x**2/2 - 1275*x - 867/4 = 0. What is x?
-1/3, 17
Factor -f**3/4 - 9703*f**2/4 - 5883050*f + 5885476.
-(f - 1)*(f + 4852)**2/4
Find f such that -2*f**2 - 18*f - 16 = 0.
-8, -1
Let d**3 + 25*d**2 + 24*d = 0. Calculate d.
-24, -1, 0
Solve -g**3 - 3*g**2 + 25*g - 21 = 0 for g.
-7, 1, 3
Factor -z**3 + 1197*z**2 - 477603*z + 63521199.
-(z - 399)**3
Let 25*y**4 + 215*y**3 - 640*y**2 + 220*y = 0. Calculate y.
-11, 0, 2/5, 2
Factor 2883*h**4 - 744*h**3 + 48*h**2.
3*h**2*(31*h - 4)**2
Suppose 2*t**4/5 + 124*t**3/5 + 24*t**2 - 124*t/5 - 122/5 = 0. Calculate t.
-61, -1, 1
Let -3*k**2 + 2424*k - 489648 = 0. Calculate k.
404
Suppose 56*q**5 - 276*q**4 + 260*q**3 + 300*q**2 - 316*q - 24 = 0. What is q?
-1, -1/14, 1, 2, 3
Suppose 2*k**3 - 12*k**2 + 18*k - 8 = 0. What is k?
1, 4
Factor -2*n**2/9 - 136*n/3 + 138.
-2*(n - 3)*(n + 207)/9
Find d, given that d**5/5 - 103*d**4/5 + 2247*d**3/5 + 4411*d**2 - 4840*d = 0.
-8, 0, 1, 55
Factor -2*f**4/21 + 4*f**3/7 + 22*f**2/21 - 40*f/7 - 200/21.
-2*(f - 5)**2*(f + 2)**2/21
Solve 45*y**3/4 - 30*y**2 - 175*y/4 + 245/2 = 0.
-2, 7/3
Factor -2*t**2/19 - 68*t/19 - 578/19.
-2*(t + 17)**2/19
What is y in -105*y**5 - 190*y**4 + 345*y**3 + 330*y**2 - 500*y + 120 = 0?
-2, 1/3, 6/7, 1
Suppose -q**3/4 + 3*q**2/2 - 2*q = 0. Calculate q.
0, 2, 4
Factor -u**4 - 16*u**3 - 63*u**2 + 16*u + 64.
-(u - 1)*(u + 1)*(u + 8)**2
Factor -g**4/8 - 4*g**3 - 143*g**2/4 - 60*g - 225/8.
-(g + 1)**2*(g + 15)**2/8
Let 4*s**4/5 - 272*s**3/5 - 844*s**2/5 - 568*s/5 = 0. Calculate s.
-2, -1, 0, 71
Suppose 4*p**3 + 8*p**2 - 44*p - 48 = 0. Calculate p.
-4, -1, 3
Factor -u**2/12 - 101*u/6 - 10201/12.
-(u + 101)**2/12
Factor 2*w**3/13 - 746*w**2/13 - 748*w/13.
2*w*(w - 374)*(w + 1)/13
Find q such that -q**3 + 275*q**2 - 18768*q - 19044 = 0.
-1, 138
What is a in 2*a**4 + 4*a**3 - 10*a**2 - 12*a = 0?
-3, -1, 0, 2
Suppose 3*u**3 - 195*u**2 + 186*u + 384 = 0. Calculate u.
-1, 2, 64
Find x, given that 2*x**2 + 66*x + 180 = 0.
-30, -3
Let -3*u**2/8 + 375*u/2 - 1497/8 = 0. What is u?
1, 499
Suppose -2*d**2 - 34*d - 32 = 0. What is d?
-16, -1
Factor w**5/7 - 6*w**4/7 + 3*w**3/7 + 10*w**2/7.
w**2*(w - 5)*(w - 2)*(w + 1)/7
Factor 8*g**2 - 15*g/2.
g*(16*g - 15)/2
Factor 2*d**3/17 - 64*d**2/17 + 22*d/17 + 1240/17.
2*(d - 31)*(d - 5)*(d + 4)/17
Factor -729*d**2/4 - 2700*d - 10000.
-(27*d + 200)**2/4
Factor -i**2/2 - 3*i/2 + 5.
-(i - 2)*(i + 5)/2
Factor 5*n**5 + 10*n**4 - 10*n**3 - 40*n**2 - 35*n - 10.
5*(n - 2)*(n + 1)**4
Suppose 2*t**3/11 - 1074*t**2/11 - 2154*t/11 - 98 = 0. Calculate t.
-1, 539
Factor -o**4/3 + 11*o**3 + 398*o**2/3 + 448*o + 1376/3.
-(o - 43)*(o + 2)*(o + 4)**2/3
Factor 2*c**3 - 34*c**2 + 176*c - 288.
2*(c - 9)*(c - 4)**2
Factor k**4/2 - 7*k**3/2 + 5*k**2/2 + 7*k/2 - 3.
(k - 6)*(k - 1)**2*(k + 1)/2
Factor -v**3/4 + 187*v**2/4 - 2162*v - 2209.
-(v - 94)**2*(v + 1)/4
Factor -35*z**2/6 + 65*z/6 - 5.
-5*(z - 1)*(7*z - 6)/6
Find f, given that -f**4 - 131*f**3 + 132*f**2 = 0.
-132, 0, 1
Factor 2*k**2/11 - 296*k/11 + 10952/11.
2*(k - 74)**2/11
Let -4*l**5/3 + 8*l**4 + 4*l**3 - 80*l**2/3 + 16*l = 0. Calculate l.
-2, 0, 1, 6
Solve -9*k**4 + 30*k**3 - 9*k**2 - 36*k + 12 = 0 for k.
-1, 1/3, 2
Solve -u**5/2 + u**4/2 + 5*u**3/2 - u**2/2 - 4*u - 2 = 0 for u.
-1, 2
Solve 14*s**3/5 + 46*s**2/5 + 8*s + 8/5 = 0 for s.
-2, -1, -2/7
What is x in 4*x**5 + 8*x**4 - 48*x**3 + 56*x**2 - 20*x = 0?
-5, 0, 1
Factor 3*k**3 + 42*k**2 + 105*k - 150.
3*(k - 1)*(k + 5)*(k + 10)
Factor 3*z**5 - 1293*z**4 + 13736