 312*q**4 - 567*q**3 + 474*q**2 - 180*q + 24 = 0.
2/7, 2/3, 1, 2
Let -p**5/7 - 2*p**4/7 = 0. Calculate p.
-2, 0
Solve -3458*p**2 + 6920*p - 8 = 0 for p.
2/1729, 2
Determine m so that 4*m**2 + 224*m/5 - 192/5 = 0.
-12, 4/5
Factor -2*f**2/11 + 12*f/11 + 10.
-2*(f - 11)*(f + 5)/11
Let -4*k**5/3 + 15*k**4 - 101*k**3/3 - 64*k**2 + 84*k = 0. Calculate k.
-7/4, 0, 1, 6
Solve -4*j**3 - 21*j**2 - 18*j + 27 = 0.
-3, 3/4
Find f, given that 9*f**2/4 + 3*f/8 = 0.
-1/6, 0
What is c in 3*c**5/2 - 129*c**4/2 + 1449*c**3/2 - 1323*c**2/2 = 0?
0, 1, 21
Factor 8*x**3/5 - 258*x**2/5 - 1052*x/5 - 1008/5.
2*(x - 36)*(x + 2)*(4*x + 7)/5
Let -3*n**3/5 - 17*n**2/10 + 27*n/10 - 2/5 = 0. What is n?
-4, 1/6, 1
Determine l so that l**5 - 23*l**4 + 174*l**3 - 568*l**2 + 800*l - 384 = 0.
1, 2, 4, 12
Factor -2*c**2/17 + 56*c/17 - 54/17.
-2*(c - 27)*(c - 1)/17
Factor -l**4/6 + 20*l**3/3 - 133*l**2/2 - 20*l/3 + 200/3.
-(l - 20)**2*(l - 1)*(l + 1)/6
Find y, given that 2*y**4/5 - 2*y**3 + 8*y**2/5 = 0.
0, 1, 4
Solve -3*d**2 - 540*d - 24300 = 0.
-90
What is f in 3*f**2 - 129*f + 246 = 0?
2, 41
Solve -5*z**5/3 - 73*z**4/3 + 100*z**3 + 1712*z**2/3 + 1312*z/3 - 272 = 0.
-17, -2, 2/5, 6
Find k, given that 5*k**3 + 300*k**2 + 4500*k = 0.
-30, 0
Factor 498436*a**5/3 - 1492484*a**4/3 + 1486840*a**3/3 - 489976*a**2/3 - 2812*a/3 - 4/3.
4*(a - 1)**3*(353*a + 1)**2/3
Factor 2*w**3/23 + 24*w**2/23.
2*w**2*(w + 12)/23
Find d such that 5*d**2 + 50*d + 80 = 0.
-8, -2
Solve -f**3/4 + 5*f**2/4 + f/2 - 6 = 0.
-2, 3, 4
Factor -2*q**4 + 234*q**3 + 240*q**2 - 472*q.
-2*q*(q - 118)*(q - 1)*(q + 2)
Factor x**3 + 85*x**2 - 173*x + 87.
(x - 1)**2*(x + 87)
Factor o**5 + 7*o**4 + 7*o**3 - 19*o**2 - 16*o + 20.
(o - 1)**2*(o + 2)**2*(o + 5)
Find l such that -3*l**3/7 + 51*l**2/7 - 240*l/7 + 192/7 = 0.
1, 8
Let -3*l**2/8 - 495*l/8 = 0. What is l?
-165, 0
Determine j, given that 5*j**5 - 590*j**4 + 16190*j**3 + 71380*j**2 + 91805*j + 37210 = 0.
-2, -1, 61
Suppose 3*h**4/2 - 345*h**3/2 - 699*h**2/2 - 351*h/2 = 0. What is h?
-1, 0, 117
Find l such that -35*l**4 + 3350*l**3 - 5620*l**2 - 1880*l = 0.
-2/7, 0, 2, 94
Determine b, given that -5*b**2 + 30*b - 45 = 0.
3
Suppose -s**2/5 - 366*s/5 = 0. What is s?
-366, 0
Solve 3*r**4 + 20832*r**3 + 54246528*r**2 + 62781315072*r + 27247090741248 = 0 for r.
-1736
Factor 16*k**5 - 4*k**4 - 12*k**3.
4*k**3*(k - 1)*(4*k + 3)
Factor z**2/4 - 20*z + 400.
(z - 40)**2/4
Suppose 15*k**3 + 3858*k**2 + 4611*k + 768 = 0. What is k?
-256, -1, -1/5
Determine m so that m**2/3 + 430*m/3 - 431/3 = 0.
-431, 1
What is x in 2*x**2/7 + 248*x/7 + 246/7 = 0?
-123, -1
Find q, given that 2*q**2 + 164*q/3 + 18 = 0.
-27, -1/3
Let 2*t**2/7 + 68*t/7 - 390/7 = 0. What is t?
-39, 5
Find c, given that 2*c**5 - 27*c**4/2 + 13*c**3/2 + 33*c**2/2 - 17*c/2 - 3 = 0.
-1, -1/4, 1, 6
Factor v**2/4 + 3*v/2 + 9/4.
(v + 3)**2/4
Let 4*a**2 + 88*a - 300 = 0. What is a?
-25, 3
Factor -4*n**4 - 44*n**3 + 52*n**2 + 44*n - 48.
-4*(n - 1)**2*(n + 1)*(n + 12)
Suppose 3*p**3 + 81*p**2 - 360*p + 372 = 0. Calculate p.
-31, 2
Factor 3*v**3 + 87*v**2 + 552*v + 1008.
3*(v + 4)**2*(v + 21)
Suppose -6*w**2 - 61*w - 10 = 0. Calculate w.
-10, -1/6
Find o such that -2*o**5/17 + 12*o**4/17 - 26*o**3/17 + 24*o**2/17 - 8*o/17 = 0.
0, 1, 2
Factor -5*d**4 + 35*d**3 - 70*d**2 + 40*d.
-5*d*(d - 4)*(d - 2)*(d - 1)
Factor 3*g**4/4 - 159*g**3/2 + 10119*g**2/4 - 22419*g + 59643.
3*(g - 47)**2*(g - 6)**2/4
Factor 4*j**4 - 20*j**3 - 172*j**2 - 268*j - 120.
4*(j - 10)*(j + 1)**2*(j + 3)
What is y in -3*y**5/2 = 0?
0
Factor -2*q**5 - 122*q**4 - 578*q**3 - 1022*q**2 - 788*q - 224.
-2*(q + 1)**3*(q + 2)*(q + 56)
Solve -9*l**5 - 6*l**4 + 30*l**3 - 21*l + 6 = 0 for l.
-2, -1, 1/3, 1
Let -i**4/3 - 21*i**3/2 - 283*i**2/3 - 399*i/2 + 374/3 = 0. What is i?
-17, -11, -4, 1/2
Determine o so that 9*o**5/7 - 201*o**4/7 + 687*o**3/7 + 63*o**2 - 3132*o/7 + 972/7 = 0.
-2, 1/3, 3, 18
Suppose 5*c**3 + 64950*c**2 + 281233500*c + 405913685000 = 0. Calculate c.
-4330
Let 5*j**2 + 110*j + 425 = 0. What is j?
-17, -5
Factor -4*x**4 + 16*x**3 + 12*x**2 - 56*x + 32.
-4*(x - 4)*(x - 1)**2*(x + 2)
Factor -3*j**2/2 - 2811*j/2 + 1407.
-3*(j - 1)*(j + 938)/2
Factor 3*g**4/2 - 54*g**3 - 360*g**2 - 744*g - 504.
3*(g - 42)*(g + 2)**3/2
Let -s**3/3 - 55*s**2/3 + 113*s/3 - 19 = 0. Calculate s.
-57, 1
Let 2*l**5/5 - 28*l**4/5 + 86*l**3/5 - 12*l**2 = 0. Calculate l.
0, 1, 3, 10
Factor -4*d**3 - 424*d**2 - 420*d.
-4*d*(d + 1)*(d + 105)
Factor -v**3/7 - 23*v**2/7 - 16*v/7 + 132/7.
-(v - 2)*(v + 3)*(v + 22)/7
Determine k, given that -2*k**2/11 - 6*k/11 + 140/11 = 0.
-10, 7
Factor -2*u**2/11 - 26*u/11 - 80/11.
-2*(u + 5)*(u + 8)/11
Factor -2*q**2 - 514*q.
-2*q*(q + 257)
Find f, given that -15*f**5 - 126*f**4 - 393*f**3 - 558*f**2 - 348*f - 72 = 0.
-3, -2, -1, -2/5
Factor -5*z**4 + 50*z**3 - 145*z**2 + 160*z - 60.
-5*(z - 6)*(z - 2)*(z - 1)**2
Solve -100*u**4 + 320*u**3 + 804*u**2 + 464*u + 80 = 0.
-1, -2/5, 5
Determine s so that 2*s**2/9 + 32*s/9 + 40/3 = 0.
-10, -6
Suppose 3*i**2/8 + 729*i/4 + 177147/8 = 0. Calculate i.
-243
Factor r**4/3 - 7*r**3/3 + 4*r**2 + 4*r/3 - 16/3.
(r - 4)*(r - 2)**2*(r + 1)/3
Factor 20*x**2 - 292*x + 168.
4*(x - 14)*(5*x - 3)
Determine q, given that -20*q**4/13 - 98*q**3/13 - 12*q**2 - 88*q/13 - 16/13 = 0.
-2, -1/2, -2/5
Factor -o**3/5 - 321*o**2/5 - 5184*o - 5120.
-(o + 1)*(o + 160)**2/5
Factor 2*i**2/13 + 506*i/13.
2*i*(i + 253)/13
Let -2*u**2/5 + 3*u/5 + 2/5 = 0. Calculate u.
-1/2, 2
Suppose 3*h**2/5 - 117*h/5 + 114/5 = 0. What is h?
1, 38
Factor 24*d**3/5 - 76*d**2 + 608*d/5 + 112/5.
4*(d - 14)*(d - 2)*(6*d + 1)/5
Factor -b**2/3 - 40*b/3.
-b*(b + 40)/3
Suppose 5*u**3 + 585*u**2 + 17955*u + 48735 = 0. Calculate u.
-57, -3
Factor 3*u**3/5 + 17*u**2/5 + 28*u/5 + 12/5.
(u + 2)*(u + 3)*(3*u + 2)/5
Factor 2*x**3/7 - 10*x**2/7 + 8*x/7.
2*x*(x - 4)*(x - 1)/7
Factor c**2/3 - 23*c - 142/3.
(c - 71)*(c + 2)/3
Factor -2*r**3/5 - 26*r**2/5 - 96*r/5 - 72/5.
-2*(r + 1)*(r + 6)**2/5
Let -4*b**3 + 4*b**2 + 36*b - 36 = 0. Calculate b.
-3, 1, 3
Solve -3*y**5 + 30*y**4 - 93*y**3 + 66*y**2 + 96*y - 96 = 0 for y.
-1, 1, 2, 4
Factor -2*t**4/5 - 54*t**3/5 - 78*t**2 - 338*t/5.
-2*t*(t + 1)*(t + 13)**2/5
Factor -l**3/3 - 362*l**2 - 97920*l + 591872/3.
-(l - 2)*(l + 544)**2/3
Factor 4*s**3 + 128*s**2 - 268*s + 136.
4*(s - 1)**2*(s + 34)
Find w, given that 5*w**5 + 255*w**4 - 30*w**3 - 1490*w**2 + 2025*w - 765 = 0.
-51, -3, 1
Suppose -3*o**5 + 18*o**4 + 72*o**3 + 78*o**2 + 27*o = 0. What is o?
-1, 0, 9
Factor 2*d**4/7 + 6*d**3/7 - 10*d**2/7 - 6*d/7 + 8/7.
2*(d - 1)**2*(d + 1)*(d + 4)/7
Determine w so that 2*w**5/15 + 2*w**4 + 116*w**3/15 + 4*w**2 - 118*w/15 - 6 = 0.
-9, -5, -1, 1
Suppose 10*q**4 - 62*q**3 + 328*q**2/5 + 424*q/5 + 96/5 = 0. Calculate q.
-2/5, 3, 4
Determine v, given that -2*v**5 - 12*v**4 + 38*v**3 + 40*v**2 - 72*v - 64 = 0.
-8, -1, 2
Factor -o**2 + 4*o + 5.
-(o - 5)*(o + 1)
Let 21*b**4/2 + 15*b**3 + 9*b**2/2 = 0. Calculate b.
-1, -3/7, 0
Factor -5*p**3 + 15*p**2 + 30*p - 40.
-5*(p - 4)*(p - 1)*(p + 2)
Factor c**2 + 294*c + 21609.
(c + 147)**2
Solve -14*l**4 - 1408*l**3 - 35794*l**2 - 19400*l + 15000 = 0 for l.
-50, -1, 3/7
Factor 3*p**5 - 3*p**4 - 9*p**3 + 3*p**2 + 6*p.
3*p*(p - 2)*(p - 1)*(p + 1)**2
Find u such that 9*u**5/4 - 39*u**4/4 + 15*u**3/4 + 75*u**2/4 - 6*u - 9 = 0.
-1, -2/3, 1, 2, 3
Find n, given that -2*n**5/3 + 5*n**4/6 + n**3 - 4*n**2/3 - n/3 + 1/2 = 0.
-1, -3/4, 1
Solve -3*t**2 + 7536*t - 4732608 = 0 for t.
1256
Factor -5*l**2 + 20*l - 20.
-5*(l - 2)**2
Suppose -2*d**4/9 - 556*d**3/9 + 560*d**2/3 - 1684*d/9 + 562/9 = 0. What is d?
-281, 1
Factor -2*k**2/3 - 10*k + 32/3.
-2*(k - 1)*(k + 16)/3
Let -21*z**5 + 6*z**4 + 126*z**3 + 132*z**2 + 15*z - 18 = 0. Calculate z.
-1, 2/7, 3
Factor 5*w**5/3 + 85*w**4/3 + 280*w**3/3 + 260*w**2/3.
5*w**2*(w + 2)**2*(w + 13)/3
Factor -4*d**4/5 - 31*d**3/5 + 44*d**2/5 - 9*d/5.
-d*(d - 1)*(d + 9)*(4*d - 1)/5
Determine v so that -4*v**3 + 912*v**2 + 3700*v + 2784 = 0.
-3, -1, 232
Factor -25*n**3 + 90*n**2 - 95*n + 30.
-5*(n - 2)*(n - 1)*(5*n - 3)
Factor 3*h**4/8 + 12*h**3 + 333*h**2/4 - 204*h + 867/8.
3*(h - 1)**2*(h + 17)**2/8
Factor -4*c**3 - 28*c**2.
-4*c**2*(c + 7)
Solve 2*p**2/21 + 74*p/21 = 0 for p.
-37, 0
Factor 4*u**4 - 208*u**3 - 216*u**2 + 208*u + 212.
4*(u - 53)*(u - 1)*(u + 1)**2
Determine u so that -3*u**3 