ermine j, given that -j**4/6 + 3*j**3/2 - j**2/2 - 37*j/6 - 4 = 0.
-1, 3, 8
Suppose -5*c**4/2 - 38*c**3/3 + 175*c**2/6 + 92*c + 6 = 0. Calculate c.
-6, -2, -1/15, 3
Factor 5*z**2/2 - 5*z.
5*z*(z - 2)/2
Suppose 3*w**4 - 12*w**3 - 15*w**2 = 0. Calculate w.
-1, 0, 5
Let 3*i**3/5 + 1224*i**2/5 + 24723*i - 50430 = 0. Calculate i.
-205, 2
Suppose y**2/3 - y/3 = 0. What is y?
0, 1
Factor -3*h**3 - 24*h**2 + 27*h.
-3*h*(h - 1)*(h + 9)
What is n in -n**3/2 - 13*n**2/2 - 24*n - 18 = 0?
-6, -1
Let -5*l**3/4 + 1775*l**2/4 + 445*l = 0. What is l?
-1, 0, 356
Factor 2*d**3 + 54*d**2 + 304*d + 480.
2*(d + 3)*(d + 4)*(d + 20)
Determine h, given that -h**3/2 + 6*h**2 + 30*h + 32 = 0.
-2, 16
Factor 5*g**2 - 1260*g - 2540.
5*(g - 254)*(g + 2)
Factor 7*k**2/3 + 8*k/3 - 44/3.
(k - 2)*(7*k + 22)/3
Find m, given that -4*m**3/5 + 1368*m**2/5 - 155952*m/5 + 5926176/5 = 0.
114
Suppose w**4/3 + 954*w**3 + 910116*w**2 + 289416888*w = 0. Calculate w.
-954, 0
Determine z, given that 6*z**5 + 501*z**4/2 + 657*z**3 + 528*z**2 + 57*z - 117/2 = 0.
-39, -1, 1/4
Solve -g**4 - 4*g**3 - g**2 + 6*g = 0 for g.
-3, -2, 0, 1
Factor -3*n**3 - 6*n**2 + 45*n.
-3*n*(n - 3)*(n + 5)
Let 3*a**4 - 84*a**3 + 654*a**2 - 780*a - 1521 = 0. Calculate a.
-1, 3, 13
Find u, given that 10*u**3 - 75*u**2 - 565*u + 300 = 0.
-5, 1/2, 12
Determine u so that -3*u**2 + 534*u - 531 = 0.
1, 177
Factor 3*y**2 - 324*y - 660.
3*(y - 110)*(y + 2)
Solve -4*a**4/3 - 82*a**3/3 - 40*a**2/3 = 0.
-20, -1/2, 0
Let -5*u**2 - 22160*u - 24553280 = 0. Calculate u.
-2216
Factor 5*r**4 + 20*r**3 + 15*r**2 - 20*r - 20.
5*(r - 1)*(r + 1)*(r + 2)**2
Suppose -4*u**4 - 8*u**3 + 28*u**2 - 16*u = 0. What is u?
-4, 0, 1
Factor 2*f**2/7 - 8*f/7.
2*f*(f - 4)/7
Suppose 28*l**3 + 580*l**2 - 168*l = 0. What is l?
-21, 0, 2/7
Suppose -4*r**3 + 136*r**2 + 1124*r + 984 = 0. Calculate r.
-6, -1, 41
Let 5*m**3 - 1550*m**2 - 3115*m - 1560 = 0. What is m?
-1, 312
Solve c**2/3 - 367*c/3 - 246 = 0.
-2, 369
Solve -t**2/3 - 55*t + 166/3 = 0.
-166, 1
Factor v**4/4 - v**3 - v**2 + 4*v.
v*(v - 4)*(v - 2)*(v + 2)/4
Solve -2*g**4 + 788*g**3 - 6208*g**2 + 12352*g = 0 for g.
0, 4, 386
Factor 4*n**4 - 420*n**3 + 3168*n**2 - 6208*n.
4*n*(n - 97)*(n - 4)**2
Factor 2*y**3 - 126*y**2 - 1728*y - 5400.
2*(y - 75)*(y + 6)**2
Solve 2*c**3 - 406*c**2 + 1600*c - 1592 = 0 for c.
2, 199
Suppose 20*l**5 - 452*l**4 + 2536*l**3 - 3712*l**2 - 1920*l = 0. Calculate l.
-2/5, 0, 4, 15
Solve 3*w**2 + 291*w - 294 = 0 for w.
-98, 1
Factor 5*s**2 - 520*s + 13520.
5*(s - 52)**2
Let -5*f**4 + 75*f**3 - 285*f**2 - 175*f + 1470 = 0. What is f?
-2, 3, 7
Solve -y**2/8 + 379*y/4 + 759/8 = 0.
-1, 759
Factor -u**4 + u**3 + 12*u**2 - 28*u + 16.
-(u - 2)**2*(u - 1)*(u + 4)
Factor 2*z**2/11 + 36*z/11 + 162/11.
2*(z + 9)**2/11
Determine o, given that -15*o**4 + 265*o**3 - 770*o**2 - 4100*o + 3000 = 0.
-3, 2/3, 10
Solve -u**2/4 + 91*u/2 - 181/4 = 0.
1, 181
Factor -j**5 - j**4 + 7*j**3 + 13*j**2 + 6*j.
-j*(j - 3)*(j + 1)**2*(j + 2)
Let 3*l**3 - 45*l**2 + 168*l - 180 = 0. Calculate l.
2, 3, 10
Suppose -3*c**2/7 - 78*c/7 + 81/7 = 0. Calculate c.
-27, 1
Factor 2*l**5 - 46*l**4 - 124*l**3 + 628*l**2 - 710*l + 250.
2*(l - 25)*(l - 1)**3*(l + 5)
Factor -d**5/5 - 18*d**4/5 - 117*d**3/5 - 324*d**2/5 - 324*d/5.
-d*(d + 3)**2*(d + 6)**2/5
Factor -5*u**4 + 5*u**2.
-5*u**2*(u - 1)*(u + 1)
Factor 2*n**3/5 - 46*n**2/5 + 68*n/5 + 336/5.
2*(n - 21)*(n - 4)*(n + 2)/5
Factor 3*u**2/5 - 9*u/5 + 6/5.
3*(u - 2)*(u - 1)/5
Find q such that -q**4/5 - 18*q**3/5 + 4*q**2 + 18*q/5 - 19/5 = 0.
-19, -1, 1
Determine p, given that -2*p**2 - 212*p + 2320 = 0.
-116, 10
Find u such that 2*u**3/5 + 138*u**2/5 + 462*u - 490 = 0.
-35, 1
Let 29*u**2 - 28*u - 1 = 0. What is u?
-1/29, 1
Solve -i**2 - 32*i + 105 = 0.
-35, 3
Factor 2*c**4/7 + 20*c**3/7 - 104*c**2/7 + 16*c.
2*c*(c - 2)**2*(c + 14)/7
Factor -2*q**5/7 + 34*q**4/7 - 62*q**3/7 + 30*q**2/7.
-2*q**2*(q - 15)*(q - 1)**2/7
Suppose 3*w**5 - 18*w**4 - 27*w**3 + 42*w**2 = 0. Calculate w.
-2, 0, 1, 7
Determine p so that -2*p**5 + 10*p**4 - 16*p**3 + 8*p**2 = 0.
0, 1, 2
Factor y**4 + 97*y**3 - 98*y**2.
y**2*(y - 1)*(y + 98)
Let -2*k**5/7 - 232*k**4/7 + 236*k**3/7 + 232*k**2/7 - 234*k/7 = 0. What is k?
-117, -1, 0, 1
Find k, given that -5*k**5 + 82*k**4 - 467*k**3 + 1074*k**2 - 900*k + 216 = 0.
2/5, 1, 3, 6
Suppose -2*x**5/7 + 18*x**3/7 + 8*x**2/7 - 24*x/7 = 0. Calculate x.
-2, 0, 1, 3
Factor -h**3 - 6*h**2 + 9*h + 14.
-(h - 2)*(h + 1)*(h + 7)
Factor 4*l**3 + 148*l**2 - 152*l.
4*l*(l - 1)*(l + 38)
Factor -m**4/8 + 7*m**3 - 725*m**2/8 - 841*m/4.
-m*(m - 29)**2*(m + 2)/8
Factor 3*w**2 + 1560*w - 1563.
3*(w - 1)*(w + 521)
Let 2*l**5 - 12*l**4 - 2*l**3 + 12*l**2 = 0. What is l?
-1, 0, 1, 6
Solve u**4 + 133*u**3 - 269*u**2 + 135*u = 0.
-135, 0, 1
Find g, given that 88*g**4 - 36*g**3 - 224*g**2 - 108*g - 8 = 0.
-1, -1/2, -1/11, 2
Determine w, given that 5*w**3 - 360*w**2 = 0.
0, 72
Find n, given that 7*n**4 + 229*n**3 - 549*n**2 + 383*n - 70 = 0.
-35, 2/7, 1
Suppose -4*s**4 + 4*s**3 + 32*s**2 - 48*s = 0. Calculate s.
-3, 0, 2
Factor 5*n**2 + 340*n - 345.
5*(n - 1)*(n + 69)
Determine k, given that -4*k**4/5 - 68*k**3/5 + 672*k**2/5 = 0.
-24, 0, 7
Factor 3*q**4/4 + 17*q**3/4 - 3*q**2/2 - 24*q + 8.
(q - 2)*(q + 4)**2*(3*q - 1)/4
Determine x, given that -30*x**3 + 603*x**2 - 60*x = 0.
0, 1/10, 20
Solve -2*i**3/17 + 54*i**2/17 - 364*i/17 + 720/17 = 0 for i.
4, 5, 18
Suppose 5*i**4 - 85*i**3 - 185*i**2 - 95*i = 0. What is i?
-1, 0, 19
Suppose -3*p**5/4 - 3*p**4 - 3*p**3/4 + 9*p**2/2 = 0. Calculate p.
-3, -2, 0, 1
Factor -9*y**3 + 1564*y**2 + 1923*y + 350.
-(y - 175)*(y + 1)*(9*y + 2)
Factor -2*g**2/7 - 884*g/7 - 97682/7.
-2*(g + 221)**2/7
Let 2*d**5/13 + 2*d**4/13 - 4*d**3/13 = 0. Calculate d.
-2, 0, 1
Factor -8*i**2/9 - 26*i/9 - 20/9.
-2*(i + 2)*(4*i + 5)/9
Factor -t**3/3 - 7*t**2/3 + t/3 + 7/3.
-(t - 1)*(t + 1)*(t + 7)/3
Factor 3*d**2/7 - 138*d + 5688/7.
3*(d - 316)*(d - 6)/7
Solve -3*n**2 + 93*n + 540 = 0.
-5, 36
Find r, given that 3*r**2 - 4338*r + 1568187 = 0.
723
Factor -t**4/2 - 5*t**3 - 4*t**2 + 5*t + 9/2.
-(t - 1)*(t + 1)**2*(t + 9)/2
Factor q**4 - 227*q**3 + 12766*q**2 + 13452*q - 25992.
(q - 114)**2*(q - 1)*(q + 2)
Suppose -98*a**5/3 - 2786*a**4/3 + 21412*a**3/3 - 38984*a**2/3 + 17296*a/3 - 2240/3 = 0. What is a?
-35, 2/7, 2, 4
Factor 150*n**3 + 5*n**2.
5*n**2*(30*n + 1)
Factor x**3/3 + 4*x**2 + 32*x/3.
x*(x + 4)*(x + 8)/3
Let -g**3/7 + 2*g**2/7 + 20*g/7 + 24/7 = 0. What is g?
-2, 6
Solve -m**2 - 354*m = 0 for m.
-354, 0
What is f in -2*f**5 - 4*f**4 + 20*f**3 + 16*f**2 - 66*f + 36 = 0?
-3, 1, 2
Suppose -85*s**2/3 - 44*s/3 - 4/3 = 0. Calculate s.
-2/5, -2/17
Factor -2*d**4 + 16*d**3 + 18*d**2.
-2*d**2*(d - 9)*(d + 1)
Solve 3*m**2 + 33*m - 936 = 0.
-24, 13
Solve -c**3/4 - 13*c**2 + 107*c/4 - 27/2 = 0.
-54, 1
Factor -242*w**3 + 4378*w**2 - 17430*w - 22050.
-2*(w + 1)*(11*w - 105)**2
Factor -c**2/6 - 19*c - 112/3.
-(c + 2)*(c + 112)/6
Factor -a**3/2 + a**2/2 + 2*a - 2.
-(a - 2)*(a - 1)*(a + 2)/2
Factor -3*q**4 - 18*q**3 - 33*q**2 - 18*q.
-3*q*(q + 1)*(q + 2)*(q + 3)
Factor -a**2/7 + 248*a - 107632.
-(a - 868)**2/7
What is a in 2*a**2 - 9040*a/9 + 2008/9 = 0?
2/9, 502
Factor -2*f**3/9 + 124*f**2/9.
-2*f**2*(f - 62)/9
Factor -5*n**2/3 + 8705*n/3.
-5*n*(n - 1741)/3
Factor -2*d**3 - 258*d**2 - 510*d - 254.
-2*(d + 1)**2*(d + 127)
Suppose 2916*c**5/7 + 6264*c**4/7 - 1124*c**3 - 1264*c**2/7 - 48*c/7 = 0. What is c?
-3, -2/27, 0, 1
Factor -2*w**4 + 62*w**3 + 502*w**2 + 1122*w + 684.
-2*(w - 38)*(w + 1)*(w + 3)**2
Factor 6*s**2 + 62*s + 56.
2*(s + 1)*(3*s + 28)
Suppose 12*v**5 - 45*v**4 + 27*v**3 = 0. What is v?
0, 3/4, 3
Factor 11*p**5 - 64*p**4 + 87*p**3 + 18*p**2.
p**2*(p - 3)**2*(11*p + 2)
Suppose -3*h**2 - 552*h = 0. What is h?
-184, 0
Factor 4*h**4 - 24*h**3 - 988*h**2.
4*h**2*(h - 19)*(h + 13)
Factor -2*s**3/5 + 38*s**2/5 + 82*s/5 + 42/5.
-2*(s - 21)*(s + 1)**2/5
Factor -j**4 - 4*j**3 + 37*j**2 - 68*j + 36.
-(j - 2)**2*(j - 1)*(j + 9)
Determine i so that 3*i**5/5 - 34*i**4/5 + 56*i**3/5 + 66*i**2/5 - 27*i/5 = 0.
-1, 0, 1/3, 3, 9
Determine c so that 15*c**3/8 + 57*c**2/4 - 6*c = 0.
-8, 0, 2/5
Find n, given that 4*n**3/3 + 68*n**2/3 + 64*n/3 = 0.
-16, -1, 0
Solve -27*z**3/5 - 696*z**2/5 + 501*z - 522/5 = 0 for z.
-29, 2/9, 3
Solve 2*r**4 - 38*r**3 - 180*r**2 + 1112*r - 1232 = 0 for r.
-