+ 3652264*a/15 - 70306082/15 = 0.
77
Solve 3*z**2/2 - 513*z/2 + 507 = 0.
2, 169
Determine f so that 20*f**5 - 100*f**4 + 65*f**3 + 330*f**2 - 585*f + 270 = 0.
-2, 1, 3/2, 3
What is g in 5*g**4 + 235*g**3 + 445*g**2 - 235*g - 450 = 0?
-45, -2, -1, 1
Determine c so that c**5/7 - c**3 - 6*c**2/7 = 0.
-2, -1, 0, 3
What is p in -p**5/6 - 7*p**4/3 + p**3/6 + 7*p**2/3 = 0?
-14, -1, 0, 1
Factor 5*h**3 - 535*h**2 - 4520*h - 9200.
5*(h - 115)*(h + 4)**2
Determine k so that 24*k**5/5 + 5374*k**4/5 - 90*k**3 - 448*k**2/5 = 0.
-224, -1/4, 0, 1/3
Solve 4*j**4 + 148*j**3 - 328*j**2 - 592*j + 1248 = 0 for j.
-39, -2, 2
Factor -u**5/2 + u**4 + 4*u**3 + u**2 - 7*u/2 - 2.
-(u - 4)*(u - 1)*(u + 1)**3/2
Determine m so that -2*m**2/13 - 100*m/13 - 98/13 = 0.
-49, -1
Determine k, given that 4*k**2/5 - 608*k/5 + 23104/5 = 0.
76
Solve -2*r**3/3 - 604*r**2/3 = 0.
-302, 0
Factor -2*h**3/19 - 20*h**2/19 + 26*h/19 + 44/19.
-2*(h - 2)*(h + 1)*(h + 11)/19
Let -4*j**4 + 176*j**3 - 792*j**2 + 432*j + 1404 = 0. Calculate j.
-1, 3, 39
Factor -3*a**3/2 + 27*a**2/2 - 45*a/2 + 21/2.
-3*(a - 7)*(a - 1)**2/2
Suppose 9*j**4 - 150*j**3 - 1245*j**2 - 1590*j + 1656 = 0. What is j?
-4, -3, 2/3, 23
Let -75*k**4 - 60*k**3 + 63*k**2 + 60*k + 12 = 0. What is k?
-1, -2/5, 1
Factor -w**3/2 - 3*w**2 - 5*w/2.
-w*(w + 1)*(w + 5)/2
Factor 5*y**2 - 580*y + 16820.
5*(y - 58)**2
Factor 4*j**2 + 10*j/7.
2*j*(14*j + 5)/7
Solve 12*y**4 + 16*y**3 - 100*y**2 + 104*y - 32 = 0.
-4, 2/3, 1
Determine q, given that -q**3/5 - 9*q**2/5 - 6*q/5 + 16/5 = 0.
-8, -2, 1
What is c in -c**5/7 + 11*c**4/7 - 9*c**3/7 - 17*c**2 - 14*c = 0?
-2, -1, 0, 7
Factor -375*n**4 - 8175*n**3 + 10170*n**2 - 4116*n + 552.
-3*(n + 23)*(5*n - 2)**3
Solve u**2/2 + 61*u + 3721/2 = 0.
-61
Find c, given that 2*c**5/7 + 40*c**4/7 - 306*c**3/7 + 176*c**2/7 + 520*c/7 = 0.
-26, -1, 0, 2, 5
What is r in 6*r**4/5 - 38*r**3/5 + 38*r**2/5 + 30*r - 252/5 = 0?
-2, 7/3, 3
Factor -b**4 - 2*b**3 - b**2.
-b**2*(b + 1)**2
Factor -p**2/8 - 7*p/2 - 115/8.
-(p + 5)*(p + 23)/8
Determine r, given that -36*r**2/5 - 604*r/5 - 1488/5 = 0.
-124/9, -3
Factor -124251499*a**5/6 + 496258993*a**4/3 - 988038962*a**3/3 - 11928100*a**2/3 - 47872*a/3 - 64/3.
-(a - 4)**2*(499*a + 2)**3/6
Determine b, given that 4*b**4/5 - 68*b**3/5 + 336*b**2/5 - 432*b/5 = 0.
0, 2, 6, 9
Factor 3*k**4 + 51*k**3 + 225*k**2 + 309*k + 132.
3*(k + 1)**2*(k + 4)*(k + 11)
Find y such that y**3/6 - y**2/2 - 15*y/2 + 175/6 = 0.
-7, 5
Find m, given that -8*m**5/5 + 94*m**4 - 802*m**3/5 + 226*m**2/5 + 114*m/5 = 0.
-1/4, 0, 1, 57
Factor 4*n**3/3 + 84*n**2 + 1700*n + 33524/3.
4*(n + 17)**2*(n + 29)/3
What is f in -3*f**4 - 66*f**3 - 99*f**2 + 1284*f - 1596 = 0?
-19, -7, 2
Let -4*x**4 + 156*x**3 + 852*x**2 + 1220*x + 528 = 0. Calculate x.
-3, -1, 44
Solve -3*i**3/7 - 15*i**2/7 + 39*i/7 - 3 = 0.
-7, 1
Solve -2*h**4 + 2*h**3 + 8*h**2 - 8*h = 0.
-2, 0, 1, 2
Factor -2*n**3/9 - 1570*n**2/9 - 308896*n/9 - 307328/9.
-2*(n + 1)*(n + 392)**2/9
Solve 3*y**5 + 2229*y**4 + 4437*y**3 - 6681*y**2 - 8880*y + 8892 = 0 for y.
-741, -2, 1
Find h such that -h**5/3 + 2*h**3 + 8*h**2/3 + h = 0.
-1, 0, 3
Factor -p**5/2 - 21*p**4/2.
-p**4*(p + 21)/2
Solve 5*y**5 + 110*y**4 + 340*y**3 - 2990*y**2 + 2535*y = 0.
-13, 0, 1, 3
Factor -6*c**2 - 75*c.
-3*c*(2*c + 25)
Suppose u**3/4 + 5*u**2/2 + 7*u/4 - 9/2 = 0. What is u?
-9, -2, 1
Factor -2*b**5/13 + 40*b**4/13 - 320*b**3/13 + 1280*b**2/13 - 2560*b/13 + 2048/13.
-2*(b - 4)**5/13
Solve -2*w**4/5 - 38*w**3/5 - 44*w**2 - 424*w/5 - 48 = 0.
-10, -6, -2, -1
Determine m so that -4*m**5 - 32*m**4 + 316*m**3 - 376*m**2 - 1200*m + 2016 = 0.
-14, -2, 2, 3
Let -5*p**3 + 265*p**2 + 280*p - 540 = 0. What is p?
-2, 1, 54
Find n, given that -5*n**5/4 - 7*n**4/4 + 33*n**3/4 + 79*n**2/4 + 14*n + 3 = 0.
-2, -1, -2/5, 3
Let -2*p**4/3 - 2728*p**3/3 - 930248*p**2/3 = 0. What is p?
-682, 0
What is z in 34295*z**4 - 92055*z**3 - 31350*z**2 - 3380*z - 120 = 0?
-2/19, 3
Factor 466*b**2/15 - 2326*b/15 - 4/3.
2*(b - 5)*(233*b + 2)/15
Suppose 2*s**2 - 440*s + 24200 = 0. Calculate s.
110
Find n such that -18*n**5 + 336*n**4 + 490*n**3 - 176*n**2 - 472*n - 160 = 0.
-1, -2/3, 1, 20
Factor 2*a**5/3 - 26*a**4/3 + 112*a**3/3 - 160*a**2/3.
2*a**2*(a - 5)*(a - 4)**2/3
Suppose -2*n**3 + 332*n**2 + 1010*n + 676 = 0. What is n?
-2, -1, 169
Factor 3*w**2/5 + 3*w + 18/5.
3*(w + 2)*(w + 3)/5
Factor -l**3/2 + 2321*l**2/2 - 4639*l/2 + 2319/2.
-(l - 2319)*(l - 1)**2/2
Factor m**4/9 - m**3/9 - 2*m**2/9.
m**2*(m - 2)*(m + 1)/9
Factor m**4/7 - 27*m**2/7 - 50*m/7 - 24/7.
(m - 6)*(m + 1)**2*(m + 4)/7
Factor -2*u**3/7 - 48*u**2/7 - 202*u/7 + 36.
-2*(u - 1)*(u + 7)*(u + 18)/7
What is r in -r**2/2 + 11*r/2 - 12 = 0?
3, 8
Factor -2*r**3/3 - 80*r**2/3 - 350*r - 1500.
-2*(r + 10)*(r + 15)**2/3
Factor -2*o**3/3 + 2*o**2 + 116*o/3 - 160.
-2*(o - 6)*(o - 5)*(o + 8)/3
Factor 8*n**2/5 + 202*n/5 + 10.
2*(n + 25)*(4*n + 1)/5
Solve 12*t**5 + 1180*t**4/9 + 4448*t**3/9 + 2192*t**2/3 + 2944*t/9 - 256/9 = 0 for t.
-4, -2, -1, 2/27
Suppose -4*t**5 + 188*t**4 + 600*t**3 + 16*t**2 - 800*t = 0. Calculate t.
-2, 0, 1, 50
Find y, given that 2*y**5/3 + 74*y**4/3 + 280*y**3 + 3328*y**2/3 + 2560*y/3 = 0.
-20, -8, -1, 0
Let a**2/7 + 5*a/7 - 38 = 0. What is a?
-19, 14
Factor -q**4/3 + 8*q**2/3 - 16/3.
-(q - 2)**2*(q + 2)**2/3
Factor -4*d**3 - 1332*d**2.
-4*d**2*(d + 333)
Factor -x**2/6 + 2*x/3 - 1/2.
-(x - 3)*(x - 1)/6
Factor t**2/2 - 11*t/2 - 6.
(t - 12)*(t + 1)/2
Find q such that -7645225*q**2 - 33180*q - 36 = 0.
-6/2765
Determine x so that 23*x**4/2 - 599*x**3/2 + 2359*x**2 - 5898*x + 252 = 0.
1/23, 6, 14
Determine a, given that 5*a**2 - 265*a - 270 = 0.
-1, 54
Factor 2*r**4 + 8*r**3 - 22*r**2 - 132*r - 144.
2*(r - 4)*(r + 2)*(r + 3)**2
Solve 2*j**3/17 + 270*j**2/17 + 9504*j/17 + 26136/17 = 0 for j.
-66, -3
Determine v so that -3*v**2/8 - 21*v/4 = 0.
-14, 0
Determine p so that p**3/2 - 15*p**2/2 - 9*p + 16 = 0.
-2, 1, 16
Factor -4*g**2 - 536*g.
-4*g*(g + 134)
Factor -5*q**2/4 + 51*q/4 + 11.
-(q - 11)*(5*q + 4)/4
Determine g so that -g**4/7 + 214*g**3/7 + 1317*g**2/7 + 670*g/7 - 2200/7 = 0.
-5, -2, 1, 220
Factor -z**4/6 - z**3/3 - z**2/6.
-z**2*(z + 1)**2/6
Factor -2*h**4/11 + 6*h**3/11 + 18*h**2/11 - 54*h/11.
-2*h*(h - 3)**2*(h + 3)/11
Suppose 5*b**5 + 5*b**4 - 65*b**3 - 5*b**2 + 240*b - 180 = 0. Calculate b.
-3, 1, 2
Factor 2*k**3/9 - 448*k**2/9 + 1768*k/9 - 1760/9.
2*(k - 220)*(k - 2)**2/9
Factor m**3/6 - 7*m**2/6 + 4*m/3 + 8/3.
(m - 4)**2*(m + 1)/6
Let -12*j**2 - 4*j + 96 = 0. What is j?
-3, 8/3
Factor -s**2/3 + 7*s/3 - 2.
-(s - 6)*(s - 1)/3
Factor 4*s**2/7 + 632*s/7 + 24964/7.
4*(s + 79)**2/7
Solve -2*x**3 - 22*x**2 + 50*x - 26 = 0 for x.
-13, 1
Factor -5*u**4 - 435*u**3 - 9230*u**2 + 10560*u + 19360.
-5*(u - 2)*(u + 1)*(u + 44)**2
Let f**3/2 + 117*f**2/2 - 729*f/2 + 1107/2 = 0. Calculate f.
-123, 3
Let t**3 - 37*t**2 + 371*t - 1127 = 0. What is t?
7, 23
Factor 3*p**2/2 - 39*p + 75/2.
3*(p - 25)*(p - 1)/2
Suppose -3*f**2/4 + 39*f/2 - 36 = 0. Calculate f.
2, 24
Factor v**2/7 + 11154*v/7 + 31102929/7.
(v + 5577)**2/7
Solve 60*b**5 + 168*b**4 + 141*b**3 + 6*b**2 - 39*b - 12 = 0 for b.
-1, -4/5, -1/2, 1/2
Factor 10*o**5 + 206*o**4 + 382*o**3 + 186*o**2.
2*o**2*(o + 1)**2*(5*o + 93)
Factor 2*f**2/9 - 2/9.
2*(f - 1)*(f + 1)/9
Find k, given that -2*k**4/11 - 6*k**3/11 + 8*k**2/11 + 24*k/11 = 0.
-3, -2, 0, 2
Factor 3*d**5/8 + 267*d**4/4 + 516*d**3 + 1020*d**2.
3*d**2*(d + 4)**2*(d + 170)/8
Solve 3*x**4/5 - 18*x**3/5 + 39*x**2/5 - 36*x/5 + 12/5 = 0.
1, 2
Find v, given that 250*v**4 - 113200*v**3 - 136080*v**2 - 54464*v - 7264 = 0.
-2/5, 454
Suppose k**2 - 424*k + 44944 = 0. Calculate k.
212
Determine o so that -30*o**2/23 + 146*o/23 + 20/23 = 0.
-2/15, 5
Factor 3*o**4 - 3*o**3 - 24*o**2 + 36*o.
3*o*(o - 2)**2*(o + 3)
Factor b**2/3 + 16*b/3 - 12.
(b - 2)*(b + 18)/3
Let 15*k**3/2 + 115*k**2/2 + 110*k + 50 = 0. Calculate k.
-5, -2, -2/3
Solve -6*t**5 + 21*t**4/2 + 9*t**3 - 21*t**2/2 - 3*t = 0.
-1, -1/4, 0, 1, 2
Factor -2*y**2/7 + 32*y/7.
-2*y*(y - 16)/7
Find m such that -36*m**4 - 224*m**3 - 372*m**2 - 216*m - 32 = 0.
-4, -1, -2/9
Determine x so that 5*x**3 - 205*x**2 + 1870*x + 2080 = 0.
-1, 16, 26
Let -n**3 + 2*n**2 + 64*n + 160 = 0. What is n?
-4, 10
Factor 2*z**4/7 - 18*z**3/7 + 4*z**2.
2*z**2*(z - 7)*(z - 2)/7
Let 14*v**3/5 + 94*v**2/5 + 28*v - 48/5 = 0. W