6)*(q + 53)/15
Suppose -34*a**2/3 - 46*a/3 - 4 = 0. Calculate a.
-1, -6/17
Determine j so that -4*j**4 - 176*j**3 - 1920*j**2 = 0.
-24, -20, 0
Factor 2*j**4/5 + 22*j**3/5 + 16*j**2/5 - 8*j.
2*j*(j - 1)*(j + 2)*(j + 10)/5
Let -3*x**5/7 + 87*x**4/7 - 162*x**3/7 = 0. What is x?
0, 2, 27
Factor 5*b**2 - 40*b - 240.
5*(b - 12)*(b + 4)
Determine g, given that -g**4/5 - 16*g**3/5 - 79*g**2/5 - 156*g/5 - 108/5 = 0.
-9, -3, -2
Determine i so that -6*i**4 - 39*i**3 + 36*i**2 + 111*i + 42 = 0.
-7, -1, -1/2, 2
Factor -2*q**2/5 - 86*q/5 - 84/5.
-2*(q + 1)*(q + 42)/5
Factor -3*d**2 - 198*d - 744.
-3*(d + 4)*(d + 62)
Find m such that 3*m**4/4 - 477*m**3/2 - 720*m**2 - 1443*m/2 - 963/4 = 0.
-1, 321
What is o in o**4 + 39*o**3 + 38*o**2 = 0?
-38, -1, 0
Factor -2*m**4/5 - 6*m**3/5 + 8*m**2/5.
-2*m**2*(m - 1)*(m + 4)/5
What is w in -9*w**3 + 47*w**2 - 64*w + 12 = 0?
2/9, 2, 3
Solve 5*d**4 + 230*d**3 - 15*d**2 - 700*d - 460 = 0 for d.
-46, -1, 2
Suppose -z**5/7 + 9*z**4/7 - 11*z**3/7 - 61*z**2/7 + 60*z/7 + 100/7 = 0. Calculate z.
-2, -1, 2, 5
Factor 15*o**4 - 21*o**3 - 3*o**2 + 9*o.
3*o*(o - 1)**2*(5*o + 3)
Let -1070*v**5/7 - 458*v**4 - 3198*v**3/7 - 1058*v**2/7 + 4*v/7 = 0. What is v?
-1, 0, 2/535
Suppose -m**2/4 - 1645*m/4 + 1647/2 = 0. Calculate m.
-1647, 2
Solve 3*g**5/8 - 7*g**4/8 + g**2/2 = 0.
-2/3, 0, 1, 2
Determine l, given that -2*l**2/9 + 56*l/9 - 392/9 = 0.
14
Determine m so that 2*m**2/11 + 46*m/11 - 48/11 = 0.
-24, 1
Find m such that 4*m**3 - 148*m**2 - 3064*m - 2912 = 0.
-14, -1, 52
Solve -2*n**3/3 - 22*n**2/3 - 70*n/3 - 50/3 = 0.
-5, -1
What is t in -t**5/10 + t**4/5 + t**3/5 - 2*t**2/5 - t/10 + 1/5 = 0?
-1, 1, 2
Suppose 2*f**4/7 + 76*f**3/7 + 214*f**2/7 + 20*f = 0. Calculate f.
-35, -2, -1, 0
Factor 4*r**4 + 32*r**3 - 168*r**2 - 416*r - 220.
4*(r - 5)*(r + 1)**2*(r + 11)
Determine m so that m**4 + 42*m**3 + 345*m**2 + 800*m = 0.
-32, -5, 0
Factor 3*v**2/2 + 12453*v + 51692403/2.
3*(v + 4151)**2/2
Factor -2*v**3 - 2*v**2 + 108*v + 288.
-2*(v - 8)*(v + 3)*(v + 6)
Factor 3*u**2 + 108*u + 204.
3*(u + 2)*(u + 34)
Find k such that k**2 - 8*k + 15 = 0.
3, 5
Factor 2*z**4 - 68*z**3 + 192*z**2 - 188*z + 62.
2*(z - 31)*(z - 1)**3
Factor -4*g**5 - 12*g**4 - 8*g**3 + 8*g**2 + 12*g + 4.
-4*(g - 1)*(g + 1)**4
Factor 3*c**5/5 - 336*c**4/5 + 333*c**3/5.
3*c**3*(c - 111)*(c - 1)/5
Factor 4*t**2/9 + 212*t/3 + 632/9.
4*(t + 1)*(t + 158)/9
Find a, given that 3*a**3/8 + 333*a**2/8 + 81*a/2 - 165/2 = 0.
-110, -2, 1
Factor -2*y**5/19 + 28*y**4/19 - 72*y**3/19 + 68*y**2/19 - 22*y/19.
-2*y*(y - 11)*(y - 1)**3/19
Factor 3*r**3/5 + 5748*r**2/5 + 22956*r/5 + 22944/5.
3*(r + 2)**2*(r + 1912)/5
Suppose -u**5 - 26*u**4 - 210*u**3 - 756*u**2 - 1269*u - 810 = 0. What is u?
-15, -3, -2
Factor 3*k**5/2 - 99*k**4/2 + 432*k**3 - 384*k**2.
3*k**2*(k - 16)**2*(k - 1)/2
Find a, given that -9*a**3 + 372*a**2 + 12924*a + 8448 = 0.
-22, -2/3, 64
Factor 3*m**2 + 165*m + 612.
3*(m + 4)*(m + 51)
Factor 5*x**2 + 15*x - 90.
5*(x - 3)*(x + 6)
What is u in -2*u**2/9 + 16*u/9 = 0?
0, 8
Factor -2*n**3/5 + 6*n/5 + 4/5.
-2*(n - 2)*(n + 1)**2/5
Determine x, given that 4*x**2 - 1840*x - 1844 = 0.
-1, 461
Factor q**4/6 + 27*q**3/2 + 79*q**2/2 + 235*q/6 + 13.
(q + 1)**3*(q + 78)/6
Determine t, given that 3*t**4 - 4155*t**3 - 12483*t**2 - 12489*t - 4164 = 0.
-1, 1388
What is p in -16*p**5 - 3434*p**4 - 185318*p**3 - 113206*p**2 + 68694*p = 0?
-107, -1, 0, 3/8
Let -r**3/2 - 7*r**2 - 25*r/2 - 6 = 0. Calculate r.
-12, -1
Factor -u**3/5 - 9*u**2 + 358*u/5 - 312/5.
-(u - 6)*(u - 1)*(u + 52)/5
Factor -3*g**4 + 12*g**3 - 3*g**2 - 18*g.
-3*g*(g - 3)*(g - 2)*(g + 1)
Factor 2*m**3 - 28*m**2 + 120*m - 144.
2*(m - 6)**2*(m - 2)
Factor 2*r**4/17 - 142*r**3/17 + 2508*r**2/17.
2*r**2*(r - 38)*(r - 33)/17
Factor 2*f**3/21 + 34*f**2/21 + 4*f/3 - 64/21.
2*(f - 1)*(f + 2)*(f + 16)/21
Factor -5*i**4/2 + 253*i**3/2 - 4233*i**2/2 + 22831*i/2 + 4913.
-(i - 17)**3*(5*i + 2)/2
Solve 10*v**4 - 692*v**3 + 1488*v**2 - 940*v + 134 = 0.
1/5, 1, 67
Let 3*m**4 + 81*m**3 + 216*m**2 = 0. What is m?
-24, -3, 0
Factor -5*a**4 + 85*a**3 + 530*a**2 + 440*a.
-5*a*(a - 22)*(a + 1)*(a + 4)
Determine d so that 2*d**5 + 6*d**4 - 98*d**3 - 526*d**2 - 744*d - 320 = 0.
-5, -4, -1, 8
Factor -2*o**2/9 - 130*o/9 - 28.
-2*(o + 2)*(o + 63)/9
Factor -m**2 - 3*m.
-m*(m + 3)
Factor 2*h**3/5 + 1152*h**2/5 + 167034*h/5 + 329476/5.
2*(h + 2)*(h + 287)**2/5
Find a such that -5*a**3 - 250*a**2 = 0.
-50, 0
Suppose i**4 - 195*i**3/4 - 885*i**2/4 - 845*i/4 - 159/4 = 0. What is i?
-3, -1, -1/4, 53
Factor -5*o**3 - 5*o**2 + 30*o.
-5*o*(o - 2)*(o + 3)
Factor 5*d**4 - 170*d**3 - 395*d**2 + 1280*d - 720.
5*(d - 36)*(d - 1)**2*(d + 4)
Solve 5*x**4 + 20*x**3 + 5*x**2 - 30*x = 0 for x.
-3, -2, 0, 1
Factor -4*d**4 - 40*d**3 + 4*d**2 + 40*d.
-4*d*(d - 1)*(d + 1)*(d + 10)
What is g in 3*g**4 - 318*g**3 - 321*g**2 = 0?
-1, 0, 107
Factor -3*z**3/2 - 12*z**2 + 45*z/2 + 81.
-3*(z - 3)*(z + 2)*(z + 9)/2
Determine d, given that 2*d**5/9 - 38*d**4/9 + 2*d**3/3 + 1558*d**2/9 + 4784*d/9 + 1352/3 = 0.
-3, -2, 13
Find v, given that 2*v**5 + 150*v**4 + 4320*v**3 + 58320*v**2 + 349920*v + 629856 = 0.
-18, -3
Factor 4*k**5 - 8*k**3 + 4*k.
4*k*(k - 1)**2*(k + 1)**2
Suppose -7*x**3/2 + 39*x**2/4 + 65*x/4 + 3 = 0. Calculate x.
-1, -3/14, 4
Find p such that 4*p**3 - 288*p**2 - 292*p = 0.
-1, 0, 73
Factor 2*p**4 + 4*p**3 - 24*p**2 - 16*p + 64.
2*(p - 2)**2*(p + 2)*(p + 4)
Solve 2*p**2/5 - 102*p/5 - 104/5 = 0 for p.
-1, 52
Factor 2*i**4/5 - 38*i**3/5 - 8*i**2.
2*i**2*(i - 20)*(i + 1)/5
Factor 2*c**3/9 + 10*c**2/9 + 16*c/9 + 8/9.
2*(c + 1)*(c + 2)**2/9
Solve b**4/8 + 371*b**3/4 + 139117*b**2/8 + 136899*b/2 + 136161/2 = 0 for b.
-369, -2
Let q**4 - 122*q**3 + 3721*q**2 = 0. Calculate q.
0, 61
Factor -p**4/5 + 6*p**3/5 - 9*p**2/5 - 4*p/5 + 12/5.
-(p - 3)*(p - 2)**2*(p + 1)/5
Factor b**2 - 1088*b.
b*(b - 1088)
Determine s, given that 5*s**2 - 270*s + 765 = 0.
3, 51
Determine o, given that -o**3/6 + 43*o**2/6 + 23*o = 0.
-3, 0, 46
Factor -3*u**2 + 3330*u + 3333.
-3*(u - 1111)*(u + 1)
Suppose -4*k**5/3 - 8*k**4 - 5*k**3/3 + 89*k**2/3 - 24*k + 16/3 = 0. Calculate k.
-4, 1/2, 1
Determine v, given that -2*v**3/5 + 158*v**2/5 + 322*v/5 + 162/5 = 0.
-1, 81
Suppose 3*t**2/5 - 63*t/5 - 66/5 = 0. What is t?
-1, 22
Factor 5*i**3 + 75*i**2 - 260*i + 180.
5*(i - 2)*(i - 1)*(i + 18)
Factor -l**2/7 + 188*l/7 - 8836/7.
-(l - 94)**2/7
Factor 5*w**3/3 - 505*w**2 + 1005*w - 1505/3.
5*(w - 301)*(w - 1)**2/3
Factor 65*x**4/2 + 75*x**3/2 + 5*x**2.
5*x**2*(x + 1)*(13*x + 2)/2
Factor -5*n**2 - 70*n + 160.
-5*(n - 2)*(n + 16)
Let z**2/7 - 5*z/7 - 38 = 0. What is z?
-14, 19
Let -3*u**3 + 59*u**2 - 205*u - 75 = 0. What is u?
-1/3, 5, 15
Factor -3*m**3/4 - 33*m**2 - 129*m/4.
-3*m*(m + 1)*(m + 43)/4
Factor 2*k**3/3 - 59*k**2/3 + 292*k/3 + 161/3.
(k - 23)*(k - 7)*(2*k + 1)/3
Factor -3*q**4 + 27*q**3 + 45*q**2 - 159*q + 90.
-3*(q - 10)*(q - 1)**2*(q + 3)
Suppose a**4 + 30*a**3 + 273*a**2 + 676*a = 0. What is a?
-13, -4, 0
Determine t so that -3*t**2 + 438*t - 14535 = 0.
51, 95
Factor -4*k**4 + 80*k**3 - 588*k**2 + 1872*k - 2160.
-4*(k - 6)**2*(k - 5)*(k - 3)
Solve 2*m**3 - 8*m**2 + 6*m = 0.
0, 1, 3
Suppose -5*k**5/4 - 25*k**4/2 + 45*k**3/4 + 215*k**2/2 - 65*k - 150 = 0. Calculate k.
-10, -3, -1, 2
Factor -x**2 - 32*x - 31.
-(x + 1)*(x + 31)
Factor 2*l**2 - 588*l - 2990.
2*(l - 299)*(l + 5)
Factor d**2/2 + 17*d/4 - 15/2.
(d + 10)*(2*d - 3)/4
Factor 4*j**3 - 132*j**2 + 480*j - 464.
4*(j - 29)*(j - 2)**2
Factor 2*h**2 + 88*h + 86.
2*(h + 1)*(h + 43)
Determine v, given that -4*v**2/11 - 366*v/11 - 182/11 = 0.
-91, -1/2
Let -13*z**4/2 - 1015*z**3/2 - 13221*z**2 - 115258*z - 8788 = 0. Calculate z.
-26, -1/13
Factor -j**5/6 + 41*j**4/6 - 101*j**3/3 - 717*j**2 - 5175*j/2 - 5625/2.
-(j - 25)**2*(j + 3)**3/6
Factor 2*b**3 - 38*b**2 - 84*b.
2*b*(b - 21)*(b + 2)
Find s such that 3*s**5 - 9*s**4 + 3*s**3 + 9*s**2 - 6*s = 0.
-1, 0, 1, 2
Factor 2*c**5/5 - 22*c**4/5 + 4*c**3.
2*c**3*(c - 10)*(c - 1)/5
Factor -3*d**4/8 - 33*d**3/4 - 15*d**2.
-3*d**2*(d + 2)*(d + 20)/8
Suppose -3*w**4 - 9*w**3 + 159*w**2 + 333*w + 168 = 0. What is w?
-8, -1, 7
Solve -105*n**2 + 216*n - 12 = 0 for n.
2/35, 2
Factor -5*v**2 - 2255*v.
-5*v*(v + 451)
What is w in -3*w**5 - 303*w**4 - 6528*w**3 + 56088*w**2 - 136080*w + 104976 = 0?
-54, 2, 3
Let w**5/3 + 2*w**4 - 2