3 + 97*s**2/3 + 38*s/3 - 11/6 = 0. Calculate s.
-11, -1, 1/9
Factor -f**4/2 - 2*f**3 + 3*f**2/2 + 5*f - 4.
-(f - 1)**2*(f + 2)*(f + 4)/2
Solve -5*h**4 + 315*h**3 - 1490*h**2 + 2340*h - 1160 = 0 for h.
1, 2, 58
Factor 2*b**2/5 - 2072*b + 2683240.
2*(b - 2590)**2/5
What is y in y**2 + 91*y + 90 = 0?
-90, -1
Factor 3*w**2/8 + 15*w/4 + 9.
3*(w + 4)*(w + 6)/8
Solve -55*o**5 - 175*o**4 + 850*o**3 - 500*o**2 - 120*o = 0.
-6, -2/11, 0, 1, 2
Find o such that 5*o**5 + 170*o**4 + 1980*o**3 + 9720*o**2 + 17280*o = 0.
-16, -6, 0
Solve 2*m**5/5 - 16*m**4/5 - 164*m**3/5 + 80*m**2 + 546*m/5 = 0 for m.
-7, -1, 0, 3, 13
Factor -2*r**4/9 - 56*r**3/9 - 392*r**2/9.
-2*r**2*(r + 14)**2/9
Find b, given that b**5/2 + 31*b**4/2 + 69*b**3 + 106*b**2 + 52*b = 0.
-26, -2, -1, 0
Factor 3*l**2/5 - 12*l - 132/5.
3*(l - 22)*(l + 2)/5
Determine u so that 2*u**5/3 + u**4/2 - 29*u**3/6 + u**2/2 + 25*u/6 - 1 = 0.
-3, -1, 1/4, 1, 2
Factor -v**3/3 + 127*v**2/3 - 42*v.
-v*(v - 126)*(v - 1)/3
Let -r**4/3 - 26*r**3/3 + 96*r**2 - 306*r + 315 = 0. Calculate r.
-35, 3
Factor 2*t**2 + 1052*t - 1054.
2*(t - 1)*(t + 527)
Solve 2*c**2 - 202*c + 200 = 0.
1, 100
Factor -w**3/10 + 57*w**2/5 - 333*w/10.
-w*(w - 111)*(w - 3)/10
Determine x, given that 9*x**3/2 + 66*x**2 + 258*x + 144 = 0.
-8, -6, -2/3
Factor -2*r**3/3 + 2*r**2/3 + 2*r/3 - 2/3.
-2*(r - 1)**2*(r + 1)/3
Determine c so that -9*c**2 + 61*c + 14 = 0.
-2/9, 7
Factor w**2/6 - 2326*w + 8115414.
(w - 6978)**2/6
Let u**5/10 + 18*u**4/5 + 431*u**3/10 + 846*u**2/5 - 216*u/5 - 864/5 = 0. Calculate u.
-12, -1, 1
Find f such that 2*f**5 + 12*f**4/7 - 68*f**3/7 - 8*f**2/7 + 102*f/7 - 52/7 = 0.
-2, -13/7, 1
Suppose -625*s**2/6 + 100*s/3 - 8/3 = 0. What is s?
4/25
Factor 125*l**2 - 8400*l + 141120.
5*(5*l - 168)**2
Let h**3 - 2*h**2 - 15*h = 0. Calculate h.
-3, 0, 5
Factor -2*c**2 + 108*c - 1458.
-2*(c - 27)**2
Determine y so that 5*y**4/3 + 29*y**3/3 - 11*y**2/3 - 29*y/3 + 2 = 0.
-6, -1, 1/5, 1
Determine o so that 2*o**2 - 126*o + 684 = 0.
6, 57
Factor -2*r**2/9 - 4*r/3 + 32/9.
-2*(r - 2)*(r + 8)/9
Factor 3*c**4/2 + 45*c**3/2 + 213*c**2/2 + 387*c/2 + 108.
3*(c + 1)*(c + 3)**2*(c + 8)/2
Factor -2*a**2/5 - 8*a - 40.
-2*(a + 10)**2/5
Suppose 5*k**4 + 130*k**3 + 245*k**2 + 120*k = 0. What is k?
-24, -1, 0
Factor -g**2/11 - 86*g/11 + 752/11.
-(g - 8)*(g + 94)/11
Factor -2*g**3/5 - 4*g**2 + 246*g/5 + 864/5.
-2*(g - 9)*(g + 3)*(g + 16)/5
Find m such that m**2 + 1520*m = 0.
-1520, 0
Determine y so that y**5/4 - 7*y**4/2 - 15*y**3/4 = 0.
-1, 0, 15
Find d, given that -d**3/2 + 11*d**2/2 - 20*d + 24 = 0.
3, 4
Factor v**4/5 + v**3 + 3*v**2/5 - v - 4/5.
(v - 1)*(v + 1)**2*(v + 4)/5
Let -4489*s**5 + 121471*s**4 - 761392*s**3 - 834712*s**2 + 51856*s - 784 = 0. What is s?
-1, 2/67, 14
Determine d, given that 4*d**5 + 20*d**4 - 28*d**3 - 20*d**2 + 24*d = 0.
-6, -1, 0, 1
Find h such that 5*h**2 - 190*h + 960 = 0.
6, 32
Suppose -5*g**5/3 - 85*g**4/3 - 335*g**3/3 - 145*g**2 - 60*g = 0. What is g?
-12, -3, -1, 0
Factor -2*y**2 - 28*y + 352.
-2*(y - 8)*(y + 22)
Suppose -5*p**3 + 10*p**2 + 65*p + 50 = 0. What is p?
-2, -1, 5
Determine z, given that -4*z**5 - 376*z**4 + 4*z**3 + 376*z**2 = 0.
-94, -1, 0, 1
Solve -3*l**4 + 120*l**3 + 795*l**2 + 1500*l + 828 = 0.
-3, -2, -1, 46
Suppose -2*p**3/9 - 100*p**2/9 - 1496*p/9 - 1936/3 = 0. Calculate p.
-22, -6
Factor 2*q**3/5 - 8*q**2/5 - 14*q + 60.
2*(q - 5)**2*(q + 6)/5
Factor -30*c**2/7 - 64*c/7 - 8/7.
-2*(c + 2)*(15*c + 2)/7
Factor 2*m**4 + 714*m**3 - 2160*m**2 + 8*m + 2880.
2*(m - 2)**2*(m + 1)*(m + 360)
What is k in 3*k**3/4 - 21*k**2 - 87*k/4 = 0?
-1, 0, 29
Let n**4/3 + 2*n**3/3 - n**2/3 - 2*n/3 = 0. Calculate n.
-2, -1, 0, 1
Factor 74*x**2 - 72*x - 2.
2*(x - 1)*(37*x + 1)
Factor u**3/6 - 7*u**2/3 + 11*u/2.
u*(u - 11)*(u - 3)/6
Suppose 4*w**5 + 29*w**4 + 71*w**3 + 64*w**2 + 12*w = 0. Calculate w.
-3, -2, -1/4, 0
Factor 5*r**2/3 + 65*r + 850/3.
5*(r + 5)*(r + 34)/3
Factor 4*t**2 - 4.
4*(t - 1)*(t + 1)
Suppose -4*v**2 - 16*v + 308 = 0. Calculate v.
-11, 7
Determine p, given that -69*p**4 + 252*p**3 - 180*p**2 - 96*p = 0.
-8/23, 0, 2
Solve 4*l**3/7 + 688*l**2/7 - 4*l/7 - 688/7 = 0 for l.
-172, -1, 1
Factor -a**3/5 + 3*a**2.
-a**2*(a - 15)/5
Factor -x**5 - 16*x**4 - 88*x**3 - 170*x**2 + 25*x + 250.
-(x - 1)*(x + 2)*(x + 5)**3
Factor -48*c**2 - 3*c.
-3*c*(16*c + 1)
Factor -5*q**3 + 90*q**2 - 85*q.
-5*q*(q - 17)*(q - 1)
Factor 2*s**5 + 14*s**4 - 34*s**3 + 18*s**2.
2*s**2*(s - 1)**2*(s + 9)
Find b such that b**2 + 158*b + 157 = 0.
-157, -1
Suppose -5*d**4 - 10*d**3 + 545*d**2 + 2110*d - 2640 = 0. What is d?
-8, -6, 1, 11
Factor -35*d**4/2 + 34*d**3 + 2*d**2.
-d**2*(d - 2)*(35*d + 2)/2
Suppose -6*x**3/11 + 2022*x**2/11 - 169338*x/11 - 171366/11 = 0. Calculate x.
-1, 169
Find w such that -3*w**2 - 11856*w - 11713728 = 0.
-1976
Let -5*z**3/3 - 145*z**2 - 285*z - 425/3 = 0. Calculate z.
-85, -1
Find s such that 2*s**5/13 - 34*s**4/13 - 2*s**3/13 + 34*s**2/13 = 0.
-1, 0, 1, 17
Factor -2*f**2 + 19628*f - 48157298.
-2*(f - 4907)**2
Factor -w**2/6 - 24*w - 864.
-(w + 72)**2/6
What is m in 2*m**4 - 92*m**3 + 728*m**2 + 8112*m = 0?
-6, 0, 26
Suppose -5*a**4 + 115*a**3 + 5*a**2 - 115*a = 0. Calculate a.
-1, 0, 1, 23
Solve -529*g**4 - 3450*g**3 + 6772*g**2 + 4200*g + 576 = 0 for g.
-8, -6/23, 2
Let -k**5/7 + 4*k**4/7 + 12*k**3/7 - 54*k**2/7 - 27*k/7 + 162/7 = 0. Calculate k.
-3, -2, 3
Factor 3*w**2/2 + 6531*w + 14217987/2.
3*(w + 2177)**2/2
Determine h so that -2*h**2/11 + 202*h - 2220/11 = 0.
1, 1110
Suppose 7*m**5 - 9*m**4 - 600*m**3 - 1676*m**2 + 528*m = 0. Calculate m.
-6, -4, 0, 2/7, 11
Suppose -2*o**2/5 + 16*o/5 = 0. What is o?
0, 8
Solve 3*c**2 - 75 = 0.
-5, 5
Factor 4*j**3 - 16*j**2 + 12*j.
4*j*(j - 3)*(j - 1)
Solve -14*s**5 - 24*s**4 + 64*s**3 + 12*s**2 - 50*s + 12 = 0 for s.
-3, -1, 2/7, 1
Factor -2*s**2/3 + 856*s/3 - 91592/3.
-2*(s - 214)**2/3
Factor p**3 - 98*p**2 - 99*p.
p*(p - 99)*(p + 1)
Suppose 2*y**2/11 - 340*y/11 + 14450/11 = 0. What is y?
85
Suppose 2*x**4/3 - 4*x**3 + 22*x**2/3 - 4*x = 0. Calculate x.
0, 1, 2, 3
Let -m**5 + m**4 + m**3 - m**2 = 0. What is m?
-1, 0, 1
Factor -3*j**5 - 6*j**4 - 3*j**3.
-3*j**3*(j + 1)**2
Find h such that 8*h**5 - 126*h**4 + 472*h**3 + 254*h**2 - 480*h - 128 = 0.
-1, -1/4, 1, 8
Find k, given that 3*k**3/7 + 120*k**2/7 - 273*k - 2028/7 = 0.
-52, -1, 13
What is w in -4*w**2 + 16*w - 12 = 0?
1, 3
Let -4*f**4 + 56*f**3 + 276*f**2 - 1224*f = 0. What is f?
-6, 0, 3, 17
Suppose -2*i**5/3 + 509*i**4/6 - 14927*i**3/6 - 40654*i**2/3 - 8074*i + 2904 = 0. What is i?
-4, -1, 1/4, 66
Factor 93*y**2/4 + 47*y + 1.
(y + 2)*(93*y + 2)/4
Solve -12*y**4/7 + 291*y**3/7 + 84*y**2 - 1101*y/7 + 234/7 = 0 for y.
-3, 1/4, 1, 26
Factor -2*o**4/9 - 172*o**3/9 - 1174*o**2/3 + 7568*o/9 - 3872/9.
-2*(o - 1)**2*(o + 44)**2/9
What is w in -30*w**3 - 565*w**2 - 395*w + 990 = 0?
-18, -11/6, 1
Determine i, given that 4*i**2 - 104*i + 100 = 0.
1, 25
Solve -2*t**2/9 - 376*t/3 + 1130/9 = 0 for t.
-565, 1
Factor -4*u**3 - 28*u**2 + 144.
-4*(u - 2)*(u + 3)*(u + 6)
Let 3*y**3/4 - 9*y**2/2 + 15*y/4 + 9 = 0. Calculate y.
-1, 3, 4
Let p**2/7 - 13*p/7 + 40/7 = 0. Calculate p.
5, 8
Factor -y**3/5 - 398*y**2/5 + 799*y/5 - 80.
-(y - 1)**2*(y + 400)/5
Factor 5*n**5 - 65*n**4 - 70*n**3.
5*n**3*(n - 14)*(n + 1)
Suppose 3*o**3 + 30*o**2 = 0. Calculate o.
-10, 0
Factor -2*q**3/3 + 298*q**2/3 - 1150*q/3 - 1450/3.
-2*(q - 145)*(q - 5)*(q + 1)/3
Suppose -16*y**2 + 2804*y - 700 = 0. Calculate y.
1/4, 175
Determine a so that -2*a**4/3 - 128*a**3/3 + 132*a**2 - 400*a/3 + 134/3 = 0.
-67, 1
Find b such that 2*b**3/9 - 70*b**2/9 - 146*b/9 - 74/9 = 0.
-1, 37
Solve l**4 - 2*l**3 - 3*l**2 = 0 for l.
-1, 0, 3
Determine n so that 5*n**2 - 522*n + 208 = 0.
2/5, 104
Determine o, given that -2*o**4/9 + 8*o**3/9 - 10*o**2/9 + 4*o/9 = 0.
0, 1, 2
Determine k so that 2*k**3/3 - 434*k**2/3 + 5782*k/3 - 19894/3 = 0.
7, 203
Solve m**3 - 20*m**2 + 128*m - 256 = 0 for m.
4, 8
Solve -4*o**3/5 - 102*o**2/5 - 146*o/5 - 48/5 = 0 for o.
-24, -1, -1/2
Determine l, given that l**5/5 + 2*l**4/5 - 3*l**3/5 - 4*l**2/5 + 4*l/5 = 0.
-2, 0, 1
Factor -10*d**2/7 + 134*d/7 - 52/7.
-2*(d - 13)*(5*d - 2)/7
Factor 15*z**2 + 411*z + 162.
3*(z + 27)*(5*z + 2)
Factor 2*r**5/3 - 6*r**4 + 28*r**3/3.
2*r**3*(r - 7)*(r - 2)/3
Factor -w**5 + 31*w**4 + 117*w**3 - 527*w**2 + 584*w - 204.
-(w 