x/7 - 460/7 = 0.
-115, 2
Find t, given that t**2/3 - 31*t/3 - 32/3 = 0.
-1, 32
Solve 21*b**5/8 + 27*b**4/8 - 141*b**3/8 - 315*b**2/8 - 51*b/2 - 9/2 = 0 for b.
-2, -1, -2/7, 3
Solve -2*u**4 - 332*u**3/5 - 696*u**2/5 - 436*u/5 - 62/5 = 0 for u.
-31, -1, -1/5
Factor -2*g**3/3 - 426*g**2 - 90738*g - 6442398.
-2*(g + 213)**3/3
What is q in -5*q**5 + 40*q**4 + 50*q**3 - 40*q**2 - 45*q = 0?
-1, 0, 1, 9
Factor -2*i**2/7 + 4*i/7.
-2*i*(i - 2)/7
Determine d, given that -2*d**4/5 - 8*d**3/5 + 292*d**2/5 - 552*d/5 + 54 = 0.
-15, 1, 9
Factor -4*r**3 + 24*r**2 - 32*r.
-4*r*(r - 4)*(r - 2)
Let s**4/10 + 83*s**3/5 - 687*s**2/2 + 1490*s + 1850 = 0. Calculate s.
-185, -1, 10
Factor -3*f**3/7 - 30*f**2/7 + 72*f/7.
-3*f*(f - 2)*(f + 12)/7
Suppose 245*g**3/4 - 3115*g**2/2 - 905*g - 130 = 0. What is g?
-2/7, 26
Find s, given that -14*s**3 - 60*s**2 - 16*s = 0.
-4, -2/7, 0
Suppose -3*v**4 - 159*v**3 - 156*v**2 = 0. What is v?
-52, -1, 0
Let 2*c**5/9 - 8*c**3/3 - 4*c**2/9 + 6*c + 4 = 0. Calculate c.
-3, -1, 2, 3
Find y such that y**4/2 - 6*y**3 - 43*y**2/2 - 15*y = 0.
-2, -1, 0, 15
Factor 2*j**3/3 - 26*j**2/3 + 64*j/3 - 40/3.
2*(j - 10)*(j - 2)*(j - 1)/3
Factor 34*m**3 - 132*m**2 + 86*m + 12.
2*(m - 3)*(m - 1)*(17*m + 2)
Determine u so that -u**2/5 - 33*u/5 = 0.
-33, 0
Factor 2*k**4/5 - 62*k**3/5 + 118*k**2/5 - 58*k/5.
2*k*(k - 29)*(k - 1)**2/5
Suppose 2*k**5 - 24*k**4 + 34*k**3 + 76*k**2 - 168*k + 80 = 0. What is k?
-2, 1, 2, 10
Find t, given that 2*t**2 + 248*t + 7688 = 0.
-62
Factor -h**3/7 - 12*h**2/7 - 44*h/7 - 48/7.
-(h + 2)*(h + 4)*(h + 6)/7
Solve -n**4/6 - 13*n**3/6 + 67*n**2/3 - 20*n = 0.
-20, 0, 1, 6
Find j such that j**3 + 133*j**2 + 263*j + 131 = 0.
-131, -1
Determine p, given that -12649337*p**3/8 + 162867*p**2/8 - 699*p/8 + 1/8 = 0.
1/233
Solve -21*s**2 - 183*s + 54 = 0 for s.
-9, 2/7
Factor -c**2 - 43*c - 42.
-(c + 1)*(c + 42)
Determine f so that -f**3 + 43*f - 42 = 0.
-7, 1, 6
What is w in -74*w**3/9 + 374*w**2/9 - 464*w/9 + 8/3 = 0?
2/37, 2, 3
Factor 13*b**2/4 + 267*b + 41.
(b + 82)*(13*b + 2)/4
Factor -2*y**3/15 + 2*y**2/5 + 98*y/15 + 6.
-2*(y - 9)*(y + 1)*(y + 5)/15
Determine n so that 2*n**3 + 20*n**2 + 48*n = 0.
-6, -4, 0
Solve -45*h**4 + 8155*h**3 + 14615*h**2 + 4585*h - 1830 = 0 for h.
-1, 2/9, 183
Factor -s**2/2 - 141*s - 19881/2.
-(s + 141)**2/2
Let -238*b**5/3 - 956*b**4/3 - 1444*b**3/3 - 976*b**2/3 - 254*b/3 - 4/3 = 0. What is b?
-1, -2/119
Factor -u**3/4 + 619*u**2/4 + u/4 - 619/4.
-(u - 619)*(u - 1)*(u + 1)/4
Find p such that 12*p**2 + 92*p = 0.
-23/3, 0
Let 4*u**3 + 4*u**2 - 24*u = 0. Calculate u.
-3, 0, 2
Factor -j**3/2 - 83*j**2/2 - 663*j/2 + 49419/2.
-(j - 19)*(j + 51)**2/2
Determine w, given that 3*w**3/4 - 1263*w**2/4 + 3129*w/2 - 1872 = 0.
2, 3, 416
Factor 5*p**3 - 926*p**2/5 - 913*p/5 + 38/5.
(p - 38)*(p + 1)*(25*p - 1)/5
Factor -2*p**3/7 + 4*p**2/7 + 16*p/7.
-2*p*(p - 4)*(p + 2)/7
Factor 2*z**4/3 + 12*z**3 - 38*z**2/3.
2*z**2*(z - 1)*(z + 19)/3
Factor 4*h**2/7 + 104*h/7 + 660/7.
4*(h + 11)*(h + 15)/7
Factor -8*x**2 + 316*x - 156.
-4*(x - 39)*(2*x - 1)
Factor 12*i**2 - 676*i + 224.
4*(i - 56)*(3*i - 1)
Let 1156*v**5/5 - 6528*v**4/5 - 19752*v**3/5 - 15584*v**2/5 - 3804*v/5 - 288/5 = 0. Calculate v.
-1, -3/17, 8
Factor -3*n**2 - 21*n + 24.
-3*(n - 1)*(n + 8)
Solve b**3 - 99*b**2 + 2592*b - 6912 = 0 for b.
3, 48
Find j such that 2*j**4 - 852*j**3 + 120984*j**2 - 5726576*j = 0.
0, 142
Factor 10*f**2 - 25*f + 10.
5*(f - 2)*(2*f - 1)
Find a, given that 2*a**4/3 + 16*a**3/3 + 10*a**2 = 0.
-5, -3, 0
Solve -4*x**5 + 24*x**4 - 32*x**3 - 24*x**2 + 36*x = 0 for x.
-1, 0, 1, 3
Solve 3*t**4/2 + 33*t**3/2 - 1749*t**2/2 + 3387*t/2 - 837 = 0 for t.
-31, 1, 18
Let 2*l**4 - 28*l**3 - 422*l**2 - 1352*l - 960 = 0. Calculate l.
-5, -4, -1, 24
Factor 3*v**3/4 + 6*v**2 + 12*v.
3*v*(v + 4)**2/4
Suppose p**5 - 261*p**4 + 22161*p**3 - 562391*p**2 - 4229814*p = 0. Calculate p.
-6, 0, 89
Factor 16*s**4 + 68*s**3 - 156*s**2 + 72*s.
4*s*(s - 1)*(s + 6)*(4*s - 3)
Let 3*l**5/7 - 174*l**4/7 + 2151*l**3/7 + 10788*l**2/7 + 11532*l/7 = 0. Calculate l.
-2, 0, 31
Determine d, given that -36*d**4 - 2715*d**3 - 50391*d**2 + 30096*d - 4332 = 0.
-38, 1/4, 1/3
What is m in -2*m**4 - 4*m**3 + 22*m**2 + 24*m = 0?
-4, -1, 0, 3
Suppose -4*f**5 + 80*f**4 + 808*f**3 - 18224*f**2 + 17340*f = 0. Calculate f.
-15, 0, 1, 17
Factor 2*z**2/3 + 50*z/3.
2*z*(z + 25)/3
Factor -4*s**3 - 368*s**2 - 1684*s + 4872.
-4*(s - 2)*(s + 7)*(s + 87)
Factor r**5/3 + 40*r**4/3 + 108*r**3 + 688*r**2/3 - 1088*r/3 - 1280.
(r - 2)*(r + 4)**3*(r + 30)/3
Suppose -5*k**3 - 185*k**2 - 180*k = 0. Calculate k.
-36, -1, 0
Factor 9*w**2 - 1842*w - 615.
3*(w - 205)*(3*w + 1)
Let -5*p**2 + 30*p = 0. What is p?
0, 6
Factor -d**2 - 67*d - 570.
-(d + 10)*(d + 57)
Factor t**5/4 + t**4/4 - 23*t**3/4 + 39*t**2/4 - 9*t/2.
t*(t - 3)*(t - 1)**2*(t + 6)/4
Find q, given that -5*q**5 - 90*q**4 - 425*q**3 - 180*q**2 + 700*q = 0.
-10, -7, -2, 0, 1
Let -54*c**3/11 + 24*c**2/11 + 26*c/11 + 4/11 = 0. Calculate c.
-1/3, -2/9, 1
Solve -8*p**4/3 + 20*p**3 - 160*p**2/3 + 60*p - 24 = 0.
1, 3/2, 2, 3
Factor b**2/5 - 12*b/5 - 64/5.
(b - 16)*(b + 4)/5
Solve -t**3 + 40*t**2/7 + 61*t/7 + 2 = 0.
-1, -2/7, 7
Factor 6*h**2/5 - 492*h - 2466/5.
6*(h - 411)*(h + 1)/5
Find y such that 3*y**3/4 - 21*y**2/2 - 30*y + 96 = 0.
-4, 2, 16
Solve 3*v**3/4 - 15*v**2/4 + 21*v/4 - 9/4 = 0.
1, 3
Factor 2*n**3/9 - 64*n**2/3 - 130*n/3 - 196/9.
2*(n - 98)*(n + 1)**2/9
Solve -3*y**5/5 + 18*y**4/5 - 24*y**3/5 - 6*y**2/5 + 27*y/5 - 12/5 = 0.
-1, 1, 4
Let j**4 + 3*j**3 - 25*j**2 + 21*j = 0. Calculate j.
-7, 0, 1, 3
Solve t**2/6 + 2*t/3 - 16/3 = 0.
-8, 4
Factor -8*m**3 - 557*m**2 - 9590*m + 3675.
-(m + 35)**2*(8*m - 3)
Suppose 20*l**3/9 + 448*l**2/9 + 176*l/9 = 0. What is l?
-22, -2/5, 0
Factor v**2/3 - 7*v/3 + 2.
(v - 6)*(v - 1)/3
Factor -2*g**3/11 + 10*g**2/11 + 2*g/11 - 10/11.
-2*(g - 5)*(g - 1)*(g + 1)/11
Suppose 8*r**5 - 26*r**4 - 40*r**3 + 84*r**2 + 144*r + 54 = 0. Calculate r.
-1, -3/4, 3
Determine p so that 12*p**5 + 44*p**4 + 60*p**3 + 36*p**2 + 8*p = 0.
-1, -2/3, 0
Solve 2*w**4/3 + 148*w**3/3 - 310*w**2/3 - 152*w = 0.
-76, -1, 0, 3
Factor b**4/4 + 163*b**3/4 - 2595*b**2/4 + 13225*b/4 - 11125/2.
(b - 5)**3*(b + 178)/4
Let -5*v**2 - 195*v + 200 = 0. Calculate v.
-40, 1
Let 3*z**3/5 + 3*z**2/5 - 6*z/5 = 0. What is z?
-2, 0, 1
Solve 484*o**2 + 16720*o + 144400 = 0 for o.
-190/11
Factor j**3 + 26*j**2 + 192*j + 288.
(j + 2)*(j + 12)**2
Factor 6*n**2/7 - 1462*n/7 - 488/7.
2*(n - 244)*(3*n + 1)/7
Factor f**3/4 + 29*f**2/4 - f/4 - 29/4.
(f - 1)*(f + 1)*(f + 29)/4
Find j such that -2*j**5/7 + 108*j**4/7 - 30*j**3 + 104*j**2/7 = 0.
0, 1, 52
Determine s, given that s**2 + 74*s + 1369 = 0.
-37
Suppose 9*z**4 + 39*z**3/2 - 153*z**2 - 945*z/2 - 243 = 0. What is z?
-3, -2/3, 9/2
Solve 2*a**2/9 + 352*a/3 = 0.
-528, 0
Suppose 3*b**2 + 2880*b - 2883 = 0. What is b?
-961, 1
Factor -q**5 - 3*q**4 + 25*q**3 - 21*q**2.
-q**2*(q - 3)*(q - 1)*(q + 7)
Factor -686*x**3/5 + 17346*x**2/5 - 146202*x/5 + 410758/5.
-2*(7*x - 59)**3/5
Factor 4*o**4/3 - 4*o**3 - 12*o**2 + 92*o/3 - 16.
4*(o - 4)*(o - 1)**2*(o + 3)/3
Solve -2*f**3/5 + 72*f**2/5 + 312*f/5 + 64 = 0 for f.
-2, 40
Factor -125*u**2/3 - 2450*u - 36015.
-5*(5*u + 147)**2/3
Factor -3*y**4 - 862*y**3 - 187477*y**2/3 - 246532*y/3 - 81796/3.
-(y + 143)**2*(3*y + 2)**2/3
Factor 3*y**3/2 + 411*y**2/2 + 999*y + 1188.
3*(y + 2)*(y + 3)*(y + 132)/2
Factor -s**3/3 + 5*s**2 - 4*s - 28/3.
-(s - 14)*(s - 2)*(s + 1)/3
Factor 45*p**3 - 530*p**2 - 1380*p - 280.
5*(p - 14)*(p + 2)*(9*p + 2)
Find o, given that 2*o**3/7 + 166*o**2/7 - 172*o/7 - 48 = 0.
-84, -1, 2
Factor -2*o**2/13 - 28*o/13 - 66/13.
-2*(o + 3)*(o + 11)/13
Find x, given that x**2 + 37*x + 36 = 0.
-36, -1
Solve -w**3 - 8*w**2/3 + 20*w/3 + 16/3 = 0.
-4, -2/3, 2
Factor -5*i**3/2 - 50*i**2.
-5*i**2*(i + 20)/2
Factor 2*k**2 + 186*k + 184.
2*(k + 1)*(k + 92)
Factor -2*i**3 + 22*i**2 - 20*i.
-2*i*(i - 10)*(i - 1)
Factor -50*j**5 - 310*j**4 + 272*j**3 - 56*j**2.
-2*j**2*(j + 7)*(5*j - 2)**2
Factor 4*w**3 - 2338*w**2 - 4679*w/4 - 585/4.
(w - 585)*(4*w + 1)**2/4
Find d, given that 7*d**4 + 24*d**3 + 5*d**2 - 12*d = 0.
-3, -1, 0, 4/7
Factor 2*o**4/17 + 6*o**3/17 - 8*o**2/17.
2*o**2*(o - 1)*(o + 4)/17
Factor -5*l**2 - 215*l.
-5*l*(l + 43)
Suppose d**2 + 289*d - 290 = 0. What is d?
-290, 1
Fact