- 69*u**2 - 87*u = 0.
-1, 0, 29/6
Factor 2*i**2/7 + 12132*i/7 + 18398178/7.
2*(i + 3033)**2/7
Determine c so that -2*c**3/7 + 64*c**2/7 - 610*c/7 + 1700/7 = 0.
5, 10, 17
Solve 4*q**4 - 1152*q**3 + 1148*q**2 = 0.
0, 1, 287
Factor 4*f**3/3 + 8*f**2/3 - 12*f - 24.
4*(f - 3)*(f + 2)*(f + 3)/3
Factor -4*v**3 + 2676*v**2 - 8000*v + 5328.
-4*(v - 666)*(v - 2)*(v - 1)
Factor 4*f**5 + 4*f**4 - 296*f**3 - 576*f**2.
4*f**2*(f - 9)*(f + 2)*(f + 8)
What is k in -5*k**2 - 915*k - 910 = 0?
-182, -1
Determine a, given that 3*a**3 + 14*a**2 + 3*a - 36 = 0.
-3, 4/3
Factor -3*h**3/5 - 5739*h**2/5 + 5742*h/5.
-3*h*(h - 1)*(h + 1914)/5
Let h**4 - h**3 - 6*h**2 = 0. Calculate h.
-2, 0, 3
Factor 7744*n**3 + 39776*n**2 + 5316*n + 180.
4*(n + 5)*(44*n + 3)**2
Factor 2*h**3/5 - 12*h**2/5 - 62*h/5 + 72/5.
2*(h - 9)*(h - 1)*(h + 4)/5
What is j in 2*j**4/7 + 18*j**3 + 1920*j**2/7 - 2048*j/7 = 0?
-32, 0, 1
What is m in -5*m**5 - 75*m**4 + 485*m**3 + 2015*m**2 + 240*m - 2660 = 0?
-19, -2, 1, 7
Let -g**4/8 - 5*g**3/4 - 27*g**2/8 - 9*g/4 = 0. What is g?
-6, -3, -1, 0
Factor -5*g**2 - 640*g - 20480.
-5*(g + 64)**2
Factor -18*m**3 - 456*m**2 + 310*m - 52.
-2*(m + 26)*(3*m - 1)**2
Suppose -i**4 - 179*i**3 - 8099*i**2 - 7921*i = 0. Calculate i.
-89, -1, 0
Solve r**2 + 13*r - 48 = 0 for r.
-16, 3
Determine n, given that 4*n**4/7 + 45*n**3 - 79*n**2/7 = 0.
-79, 0, 1/4
What is z in 3*z**2/8 + 51*z/8 - 27/4 = 0?
-18, 1
Determine x so that -2*x**5/17 + 16*x**4/17 - 2*x**3 - 28*x**2/17 + 168*x/17 - 144/17 = 0.
-2, 2, 3
Factor r**4 - 10*r**3 + 13*r**2 + 60*r + 36.
(r - 6)**2*(r + 1)**2
Find r, given that 3*r**5 + 324*r**4 - 660*r**3 + 6*r**2 + 657*r - 330 = 0.
-110, -1, 1
What is w in w**3 - 39*w**2 - 4*w + 156 = 0?
-2, 2, 39
Let -21*f**5 + 6*f**4 + 210*f**3 - 60*f**2 - 189*f + 54 = 0. Calculate f.
-3, -1, 2/7, 1, 3
Factor 2*w**4/7 - 8*w**3/7 + 12*w**2/7 - 8*w/7 + 2/7.
2*(w - 1)**4/7
Determine h, given that 2*h**5/3 - 16*h**4/3 - 30*h**3 - 24*h**2 = 0.
-3, -1, 0, 12
Find v such that -2*v**4/11 + 4*v**3/11 + 6*v**2/11 = 0.
-1, 0, 3
Factor -4*j**4 + 272*j**3 + 556*j**2 + 280*j.
-4*j*(j - 70)*(j + 1)**2
Suppose -8*p**4/7 + 30*p**3/7 - 10*p**2/7 - 30*p/7 + 18/7 = 0. What is p?
-1, 3/4, 1, 3
Find f such that -15*f**5 - 50*f**4 - 35*f**3 + 20*f**2 + 20*f = 0.
-2, -1, 0, 2/3
Let -5*f**4 + 20*f**3 + 65*f**2 - 20*f - 60 = 0. Calculate f.
-2, -1, 1, 6
Solve 4*l**2 - 3744*l + 876096 = 0 for l.
468
Determine j, given that 2*j**3/13 - 92*j**2 + 179992*j/13 - 355216/13 = 0.
2, 298
Factor 4*m**5/9 + 40*m**4/3 + 160*m**3/3 - 6080*m**2/9 + 1600*m - 1152.
4*(m - 2)**3*(m + 18)**2/9
Factor -3*r**5 - 207*r**4 - 204*r**3.
-3*r**3*(r + 1)*(r + 68)
Solve -3*b**2 + 582*b - 579 = 0.
1, 193
What is y in -3*y**2 - 2568*y - 549552 = 0?
-428
Determine h so that -20*h**2 - 30988*h - 12392 = 0.
-1549, -2/5
What is f in -f**5/3 - 26*f**4/3 - 197*f**3/3 - 220*f**2/3 + 484*f = 0?
-11, -6, 0, 2
What is a in 3*a**5 + 6*a**4 - 21*a**3 - 24*a**2 + 36*a = 0?
-3, -2, 0, 1, 2
Let 6*w**4/7 + 130*w**3/7 - 186*w**2/7 - 6*w + 92/7 = 0. Calculate w.
-23, -2/3, 1
Factor -2*d**3 - 646*d**2 - 2558*d - 1914.
-2*(d + 1)*(d + 3)*(d + 319)
Suppose d**2 - 757*d - 758 = 0. What is d?
-1, 758
Factor 3*a**2 + 9*a + 6.
3*(a + 1)*(a + 2)
Determine u, given that -3*u**4 + 29*u**3 + 126*u**2 + 60*u - 104 = 0.
-2, 2/3, 13
Factor -s**4 - 7*s**3 + 17*s**2 - 9*s.
-s*(s - 1)**2*(s + 9)
Factor a**3 + 26*a**2 + 140*a - 392.
(a - 2)*(a + 14)**2
Factor x**5/4 + 111*x**4/4 + 327*x**3/4 + 325*x**2/4 + 27*x.
x*(x + 1)**3*(x + 108)/4
Suppose 5*h**2 + 205*h + 200 = 0. Calculate h.
-40, -1
Factor 4*v**4 - 52*v**3 + 88*v**2.
4*v**2*(v - 11)*(v - 2)
Factor b**3/5 + 10863*b**2/5 + 39334923*b/5 + 47477252061/5.
(b + 3621)**3/5
Factor -4*m**5 - 112*m**4 + 24*m**3 + 704*m**2 + 908*m + 336.
-4*(m - 3)*(m + 1)**3*(m + 28)
Factor 5*s**5 - 355*s**4 + 7010*s**3 + 810*s**2 - 710775*s - 2460375.
5*(s - 27)**3*(s + 5)**2
Suppose 2*i**4/7 - 204*i**3/7 + 5402*i**2/7 - 10200*i/7 + 5000/7 = 0. What is i?
1, 50
Let 3*o**2 + 4419*o = 0. Calculate o.
-1473, 0
Factor 4*v**4 + 44*v**3 - 48*v**2.
4*v**2*(v - 1)*(v + 12)
Factor 3*d**3/4 - 33*d**2/4 + 24*d - 21.
3*(d - 7)*(d - 2)**2/4
Factor -m**3/2 - 5*m**2 - 27*m/2 - 9.
-(m + 1)*(m + 3)*(m + 6)/2
Solve 3*m**3 - 189*m**2 - 192*m = 0.
-1, 0, 64
Factor 2*p**3 + 16*p**2 + 14*p.
2*p*(p + 1)*(p + 7)
Solve -3*w**5/4 - 509*w**4/4 + 1199*w**3/4 - 859*w**2/4 + 43*w = 0 for w.
-172, 0, 1/3, 1
What is s in s**2 - 263*s + 780 = 0?
3, 260
Factor -d**5/6 - d**4/3 + d**3/2 + 2*d**2/3 - 2*d/3.
-d*(d - 1)**2*(d + 2)**2/6
Find q such that q**2 + 11*q - 80 = 0.
-16, 5
Solve d**4/3 - 10*d**3 - d**2 + 88*d/3 + 20 = 0 for d.
-1, 2, 30
Factor -w**4/8 + 16*w**3 - 3045*w**2/4 + 15925*w - 986125/8.
-(w - 35)**3*(w - 23)/8
Determine p so that -2*p**5/9 + 32*p**4/9 - 106*p**3/9 + 124*p**2/9 - 16*p/3 = 0.
0, 1, 2, 12
Factor -8*k**3/7 - 6*k**2/7 + 36*k/7 - 22/7.
-2*(k - 1)**2*(4*k + 11)/7
Let -5*f**5/3 - 26*f**4 + 362*f**3/3 + 5068*f**2/3 - 7735*f + 8450/3 = 0. Calculate f.
-13, 2/5, 5
Solve -3*f**4 + 144*f**3 - 1125*f**2 + 2868*f - 2340 = 0.
2, 5, 39
Factor -3*v**2 + 2298*v + 4608.
-3*(v - 768)*(v + 2)
Suppose -4*a**3/5 - 16*a**2 + 16*a/5 + 64 = 0. Calculate a.
-20, -2, 2
Suppose 2*n**5 + 126*n**4 + 2042*n**3 + 1674*n**2 - 3844*n = 0. What is n?
-31, -2, 0, 1
Factor 2*u**3/11 - 174*u**2/11 + 342*u/11 - 170/11.
2*(u - 85)*(u - 1)**2/11
Determine o, given that 2*o**3/5 + 4*o**2/5 - 114*o/5 + 108/5 = 0.
-9, 1, 6
Factor 2*h**2 - 16*h.
2*h*(h - 8)
Let -75*i**3 + 85*i**2 + 224*i/3 - 256/3 = 0. Calculate i.
-1, 16/15
Factor v**2 - 26*v + 48.
(v - 24)*(v - 2)
Let -t**2/8 - 1361*t/8 = 0. What is t?
-1361, 0
Factor 3*n**3/5 + 627*n**2/5.
3*n**2*(n + 209)/5
Factor -576*l**3/5 + 96*l**2 + 92*l/5 + 4/5.
-4*(l - 1)*(12*l + 1)**2/5
What is h in h**4 + 4*h**3 = 0?
-4, 0
Let 2*t**3/9 - 32*t**2/9 + 128*t/9 = 0. What is t?
0, 8
Let y**3 + 124*y**2 - 379*y + 254 = 0. Calculate y.
-127, 1, 2
Factor 2*p**5/17 + 12*p**4/17.
2*p**4*(p + 6)/17
Factor -2*a**4/5 + 158*a**3/5 + 486*a**2/5 + 98*a + 164/5.
-2*(a - 82)*(a + 1)**3/5
Suppose 5*l**2 + 60*l + 55 = 0. Calculate l.
-11, -1
Suppose -a**5/3 + 6*a**4 - 58*a**3/3 + 8*a**2 + 59*a/3 - 14 = 0. Calculate a.
-1, 1, 3, 14
Factor -2*n**4/11 - 14*n**3/11 - 16*n**2/11 + 32*n/11.
-2*n*(n - 1)*(n + 4)**2/11
Factor 4*g**5 - 29*g**4 + 67*g**3 - 67*g**2 + 29*g - 4.
(g - 4)*(g - 1)**3*(4*g - 1)
Determine d, given that 4*d**2 - 232*d + 864 = 0.
4, 54
Suppose g**2 + 44*g + 84 = 0. What is g?
-42, -2
Solve 4*l**5 - 34*l**4 + 74*l**3 + 34*l**2 - 150*l - 72 = 0.
-1, -1/2, 3, 4
Factor 2*n**3/5 + 972*n**2/5 + 3864*n/5 + 3856/5.
2*(n + 2)**2*(n + 482)/5
What is c in 3*c**3/4 - 147*c**2/4 = 0?
0, 49
Determine h, given that 8*h**3/9 + 5446*h**2/3 + 4084*h/9 = 0.
-2042, -1/4, 0
Find c such that -c**5 + 28*c**4 - 304*c**3 + 1600*c**2 - 4096*c + 4096 = 0.
4, 8
Factor -2*x**3/7 + 4*x**2/7 + 2*x/7 - 4/7.
-2*(x - 2)*(x - 1)*(x + 1)/7
Suppose 51*c**4/5 + 1233*c**3 + 194859*c**2/5 + 509583*c/5 - 62658/5 = 0. Calculate c.
-59, -3, 2/17
Factor -85*l**5 - 427*l**4 - 775*l**3 - 613*l**2 - 184*l - 4.
-(l + 1)**3*(l + 2)*(85*l + 2)
Determine u, given that -u**5 + 14*u**4 - 35*u**3 + 22*u**2 = 0.
0, 1, 2, 11
Factor 2*c**2/11 - 326*c/11 - 60.
2*(c - 165)*(c + 2)/11
Determine n, given that -3*n**2 - 27*n + 66 = 0.
-11, 2
Solve d**4/6 - 29*d**3/6 - 31*d**2/6 + 29*d/6 + 5 = 0 for d.
-1, 1, 30
Factor -2*c**5 - 10*c**4 - 20*c**3 - 20*c**2 - 10*c - 2.
-2*(c + 1)**5
Find c, given that c**2/3 + 2668*c + 5338668 = 0.
-4002
Find h such that 2*h**4 + 162*h**3 + 1654*h**2 - 162*h - 1656 = 0.
-69, -12, -1, 1
Factor -2*p**4/13 + 6*p**3 - 150*p**2/13 + 74*p/13.
-2*p*(p - 37)*(p - 1)**2/13
Factor -230*c**2/13 - 466*c/13 - 12/13.
-2*(c + 2)*(115*c + 3)/13
Solve 4*i**4/9 + 28*i**3/9 + 44*i**2/9 + 20*i/9 = 0.
-5, -1, 0
Factor 3*t**3 - 45*t**2 - 99*t - 51.
3*(t - 17)*(t + 1)**2
Determine z, given that -2*z**3 + 444*z**2 - 1750*z + 1308 = 0.
1, 3, 218
Factor -42*l**3 - 432*l**2 + 927*l/2 - 237/2.
-3*(2*l - 1)**2*(7*l + 79)/2
Determine b, given that 16*b**4 - 2088*b**3 + 68641*b**2 - 33930*b + 4225 = 0.
1/4, 65
Determine z so that 4*z**3 + 4*z**2 - 24*z = 0.
-3, 0, 2
Solve -363*w**4 + 231*w**3 + 846*w**2 + 276*w + 24 = 0.
-1, -2/11, 2
Find c, given that -c**2/2 + 8*c = 0.
0, 16
Let 2*o**3/15 + 