 3
Solve -4*q**5 + 65*q**4 - 312*q**3 + 490*q**2 - 284*q + 45 = 0.
1/4, 1, 5, 9
Find p such that -p**4/6 + p**3/3 + 2*p**2/3 - p/3 - 1/2 = 0.
-1, 1, 3
Suppose 3*c**2 - 2589*c = 0. Calculate c.
0, 863
Find u such that 3*u**5 + 108*u**4 - 462*u**3 + 708*u**2 - 477*u + 120 = 0.
-40, 1
Find o, given that 18*o**5 - 30*o**4 - 22*o**3 + 22*o**2 - 4*o = 0.
-1, 0, 1/3, 2
Factor 4*x**3 - 824*x**2 + 1636*x - 816.
4*(x - 204)*(x - 1)**2
Find n such that -14*n**4/3 + 598*n**3/3 - 3062*n**2/3 + 1246*n + 444 = 0.
-2/7, 3, 37
Factor 2*z**4 + 12*z**3 + 8*z**2 - 12*z - 10.
2*(z - 1)*(z + 1)**2*(z + 5)
Factor -g**2/5 - 66*g/5 + 432/5.
-(g - 6)*(g + 72)/5
Factor g**5/11 + 3*g**4/11 - 130*g**3/11.
g**3*(g - 10)*(g + 13)/11
Suppose 5*n**5/4 - 5*n**4/2 - 5*n**3/4 + 5*n**2/2 = 0. Calculate n.
-1, 0, 1, 2
Factor -h**2 - 108*h - 2916.
-(h + 54)**2
Determine m so that 5*m**5 - 5*m**4 - 30*m**3 + 20*m**2 + 40*m = 0.
-2, -1, 0, 2
Factor d**4 + 21*d**3 + 99*d**2 + 139*d + 60.
(d + 1)**2*(d + 4)*(d + 15)
Suppose -m**4/4 + 6*m**3 - 23*m**2/4 = 0. What is m?
0, 1, 23
Factor -5*h**2 - 5*h + 100.
-5*(h - 4)*(h + 5)
Factor -5*s**3 - 375*s**2 - 5535*s + 58835.
-5*(s - 7)*(s + 41)**2
Solve 2*x**2/5 + 6658*x/3 - 22196/15 = 0.
-5549, 2/3
Factor -2*z**2/17 + 284*z/17 + 286/17.
-2*(z - 143)*(z + 1)/17
Let 6*t**5 + 87*t**4 - 351*t**3 + 471*t**2 - 267*t + 54 = 0. What is t?
-18, 1/2, 1
What is x in 1521*x**4/5 - 1794*x**3 + 12757*x**2/5 + 276*x + 36/5 = 0?
-2/39, 3
Determine y so that 3*y**3 + 153*y**2 + 438*y + 288 = 0.
-48, -2, -1
Let 33*y**5 + 15*y**4 - 51*y**3 - 15*y**2 + 18*y = 0. Calculate y.
-1, 0, 6/11, 1
Factor 3*i**4 - 21*i**3 - 123*i**2 - 99*i.
3*i*(i - 11)*(i + 1)*(i + 3)
Determine f, given that 4*f**2/5 + 428*f/5 = 0.
-107, 0
Find q, given that -2*q**3 + 20*q**2 - 64*q + 64 = 0.
2, 4
Factor -8*m**3 + 148*m**2 - 720*m + 324.
-4*(m - 9)**2*(2*m - 1)
Find k, given that k**5 - 70*k**4 + 1237*k**3 + 1628*k**2 - 77180*k + 231200 = 0.
-8, 5, 34
Solve 6*g**5 + 52*g**4 + 386*g**3/3 + 208*g**2/3 + 32*g/3 = 0.
-4, -1/3, 0
Suppose t**3/2 + 4*t**2 + 11*t/2 - 10 = 0. Calculate t.
-5, -4, 1
Suppose a**5 - a**4 - 4*a**3 + 4*a**2 = 0. Calculate a.
-2, 0, 1, 2
Suppose 5*i**4 + 85*i**3 + 515*i**2 + 1335*i + 1260 = 0. What is i?
-7, -4, -3
Solve -9*n**4/5 + 741*n**3/5 + 564*n**2 + 1548*n/5 = 0 for n.
-3, -2/3, 0, 86
Determine j, given that -2*j**4/3 - 20*j**3/3 - 24*j**2 - 112*j/3 - 64/3 = 0.
-4, -2
Factor -3*j**4 - 1977*j**3 - 326697*j**2 - 324723*j.
-3*j*(j + 1)*(j + 329)**2
Determine s so that -21*s**2 - 72*s + 525 = 0.
-7, 25/7
Factor -3*v**2/4 + 119*v/4 - 39/2.
-(v - 39)*(3*v - 2)/4
Let -7*t**5/3 + 32*t**4 - 133*t**3/3 - 48*t**2 + 140*t/3 + 16 = 0. What is t?
-1, -2/7, 1, 2, 12
Factor -4*o**2 - 1868*o - 3720.
-4*(o + 2)*(o + 465)
Factor 2*t**3 - 30*t**2 + 118*t - 90.
2*(t - 9)*(t - 5)*(t - 1)
Determine f so that -f**4 - f**3 + 28*f**2 + 76*f + 48 = 0.
-4, -2, -1, 6
Factor 2*i**2/5 - 8*i/5.
2*i*(i - 4)/5
Let 27*v**4/4 + 117*v**3/2 + 327*v**2/4 - 195*v + 75 = 0. What is v?
-5, 2/3
Find b such that -2*b**2/5 + 168*b/5 - 486/5 = 0.
3, 81
Suppose h**2/5 + 74*h/5 + 272 = 0. Calculate h.
-40, -34
Solve -4*m**5/5 - 28*m**4/5 + 44*m**3/5 + 92*m**2/5 - 8*m - 64/5 = 0 for m.
-8, -1, 1, 2
Factor 3*m**4/4 + 3*m**3 - 111*m**2/4 - 174*m - 252.
3*(m - 7)*(m + 3)*(m + 4)**2/4
Let -2*a**4/5 - 4*a**3 - 32*a**2/5 = 0. Calculate a.
-8, -2, 0
Let 4*n**3/5 + 36*n**2 + 1932*n/5 - 2116/5 = 0. What is n?
-23, 1
Find h such that -5*h**2 + 130*h + 280 = 0.
-2, 28
What is i in 4*i**4/3 + 7244*i**3/3 + 1092032*i**2 - 1094448*i = 0?
-906, 0, 1
Find z such that 5*z**4 - 65*z**3 + 150*z**2 + 20*z - 200 = 0.
-1, 2, 10
Let 2*y**4 + 36*y**3 - 134*y**2 - 168*y = 0. What is y?
-21, -1, 0, 4
Factor 2*j**3/3 - j**2 - 12*j - 44/3.
(j + 2)**2*(2*j - 11)/3
Let -4*q**4 - 60*q**3 - 16*q**2 + 528*q - 448 = 0. Calculate q.
-14, -4, 1, 2
Determine d, given that -2*d**4/13 + 28*d**3/13 - 98*d**2/13 = 0.
0, 7
Suppose -10*z**4 - 818*z**3 - 15796*z**2 + 38472*z - 7056 = 0. Calculate z.
-42, 1/5, 2
Factor 4*a**3 + 80*a**2 + 76*a.
4*a*(a + 1)*(a + 19)
What is g in 2*g**2/7 - 1072*g/7 + 143648/7 = 0?
268
Let -2*a**3/5 + 44*a**2/15 + 102*a/5 + 24 = 0. Calculate a.
-3, -5/3, 12
Suppose 2*v**3 + 58*v**2 + 92*v - 432 = 0. Calculate v.
-27, -4, 2
Determine q, given that -4*q**2 - 204*q + 424 = 0.
-53, 2
Suppose 2*j**3/5 - 2766*j**2/5 + 1275126*j/5 - 195944362/5 = 0. Calculate j.
461
Factor n**3/7 - 2*n**2/7 - 43*n/7 - 40/7.
(n - 8)*(n + 1)*(n + 5)/7
What is g in g**2/6 + 2653*g/6 + 442 = 0?
-2652, -1
Factor 2*z**5/21 + 22*z**4/21 + 38*z**3/21 + 6*z**2/7.
2*z**2*(z + 1)**2*(z + 9)/21
Factor -66*o**2 + 530*o - 16.
-2*(o - 8)*(33*o - 1)
Determine p so that -7*p**4/2 + 76*p**3 - 579*p**2/2 + 149*p + 68 = 0.
-2/7, 1, 4, 17
Factor 2*b**5 - 26*b**4 + 44*b**3.
2*b**3*(b - 11)*(b - 2)
Suppose -4*k**4 + 8*k**3 + 12*k**2 - 16*k - 16 = 0. Calculate k.
-1, 2
Determine y so that 15*y**5 + 10*y**4 - 5*y**3 = 0.
-1, 0, 1/3
Factor -2*v**3/11 - 32*v**2/11 + 34*v/11.
-2*v*(v - 1)*(v + 17)/11
Factor g**2 + 111*g.
g*(g + 111)
Factor -2*l**2/11 + 18*l/11 - 40/11.
-2*(l - 5)*(l - 4)/11
Solve -w**2/8 + 651*w/8 - 325/4 = 0.
1, 650
Factor 2*r**5 - 4*r**4 - 12*r**3 + 8*r**2 + 26*r + 12.
2*(r - 3)*(r - 2)*(r + 1)**3
Let -l**2 + 294*l - 21609 = 0. Calculate l.
147
Factor 2*v**2/9 - 2*v/3 + 4/9.
2*(v - 2)*(v - 1)/9
Determine o so that 6*o**4 + 14*o**3 - 14*o**2 - 6*o = 0.
-3, -1/3, 0, 1
Factor l**4 + 7*l**3 + 10*l**2.
l**2*(l + 2)*(l + 5)
Factor -4*s**4 + 3272*s**3 - 884400*s**2 + 76835000*s + 582312500.
-4*(s - 275)**3*(s + 7)
Factor 3*i**3 + 24*i**2.
3*i**2*(i + 8)
Factor 2*w**5 + 8*w**4 + 6*w**3 - 8*w**2 - 8*w.
2*w*(w - 1)*(w + 1)*(w + 2)**2
Solve 35*u**5 + 255*u**4 + 455*u**3 + 285*u**2 + 50*u = 0 for u.
-5, -1, -2/7, 0
Factor -4*v**2/7 - 24032*v/7 - 36096064/7.
-4*(v + 3004)**2/7
Let 4*c**5 + 11*c**4 + 5*c**3 - 2*c**2 = 0. Calculate c.
-2, -1, 0, 1/4
Find b, given that -5*b**2 + 265*b + 2100 = 0.
-7, 60
Suppose -20*o**5 - 215*o**4 - 870*o**3 - 1620*o**2 - 1350*o - 405 = 0. Calculate o.
-3, -1, -3/4
Factor -l**2/4 - 3*l/4 + 629/2.
-(l - 34)*(l + 37)/4
What is m in -5*m**5 + 135*m**4 - 250*m**3 = 0?
0, 2, 25
Let 2*f**5/7 - 332*f**4/7 - 2*f**3/7 + 332*f**2/7 = 0. What is f?
-1, 0, 1, 166
Factor -2*i**2 - 7076*i - 6258722.
-2*(i + 1769)**2
Solve f**2/3 + 231*f - 694/3 = 0 for f.
-694, 1
Solve -42*b**4 + 561*b**3 + 375*b**2 + 42*b = 0 for b.
-1/2, -1/7, 0, 14
Factor -s**5 - 5*s**4 + 2*s**3 + 10*s**2 - s - 5.
-(s - 1)**2*(s + 1)**2*(s + 5)
Find k, given that 3*k**5 + 126*k**4/5 + 33*k**3/5 - 1026*k**2/5 - 1668*k/5 - 504/5 = 0.
-7, -2, -2/5, 3
Suppose 6*y**2/7 + 723*y/7 + 360/7 = 0. Calculate y.
-120, -1/2
Factor -2*s**2 - 146*s - 1260.
-2*(s + 10)*(s + 63)
Factor -c**3/5 + 26*c**2/5 + 11*c + 28/5.
-(c - 28)*(c + 1)**2/5
Factor 16*c**4 + 12*c**3 - 20*c**2 - 12*c + 4.
4*(c - 1)*(c + 1)**2*(4*c - 1)
Factor 5*j**5/4 - 5*j**4/2 + 5*j**3/4.
5*j**3*(j - 1)**2/4
Find f such that -3*f**2 - 144*f = 0.
-48, 0
Factor a**3/8 - a**2/2 + 5*a/8 - 1/4.
(a - 2)*(a - 1)**2/8
Let -2*q**2/9 + 2666*q/9 - 296 = 0. What is q?
1, 1332
Determine m so that -3*m**5/7 + 22*m**4/7 - 37*m**3/7 + 10*m**2/7 = 0.
0, 1/3, 2, 5
Factor -3*v**4/7 + 759*v**3/7 - 63495*v**2/7 + 1712325*v/7 + 3684750/7.
-3*(v - 85)**3*(v + 2)/7
Factor c**2/7 + 2*c/7 + 1/7.
(c + 1)**2/7
Factor 2*s**3/3 - 2846*s**2/9 + 112654*s/3 - 12482.
2*(s - 237)**2*(3*s - 1)/9
What is h in -50*h**5/3 + 470*h**4/3 + 206*h**3 - 3302*h**2/3 + 1232*h/3 - 40 = 0?
-3, 1/5, 2, 10
Solve v**3/2 - 319*v**2/2 + 25599*v/2 - 25281/2 = 0 for v.
1, 159
Solve 112*v**5 - 2020*v**4 + 72*v**3 = 0 for v.
0, 1/28, 18
Factor l**3/12 - 7*l/12 - 1/2.
(l - 3)*(l + 1)*(l + 2)/12
Let -2*m**3 - 24*m**2 - 82*m - 60 = 0. What is m?
-6, -5, -1
Suppose 2*r**3/5 + 264*r**2/5 + 2016*r + 17280 = 0. What is r?
-60, -12
Factor -7486*t**2/5 - 7482*t/5 + 4/5.
-2*(t + 1)*(3743*t - 2)/5
Determine l, given that 2*l**5/5 + 24*l**4/5 + 66*l**3/5 - 76*l**2/5 - 264*l/5 - 144/5 = 0.
-6, -1, 2
Factor 262*i**3 + 7078*i**2/9 + 4*i/3.
2*i*(i + 3)*(1179*i + 2)/9
Determine l so that 10*l**3/7 - 44*l**2/7 - 34*l/7 + 20/7 = 0.
-1, 2/5, 5
What is z in z**3/8 - 2*z**2 + 39*z/8 = 0?
0, 3, 13
Let 2*h**5 - 8*h**4 - 30*h**3 + 20*h**2 + 88*h + 48 = 0. Calculate h.
-2, -1, 2, 6
Factor 4*s**2/7 - 124*s/7 +