 24)/5
Let r**2 + 4*r + 3 = 0. What is r?
-3, -1
Determine n so that 28*n**5 + 236*n**4 + 4300*n**3/7 + 2412*n**2/7 - 2592*n/7 + 432/7 = 0.
-3, 2/7
Solve -u**4/7 + u**3/7 + 3*u**2/7 - u/7 - 2/7 = 0.
-1, 1, 2
Factor -2*a**3 - 432*a**2 - 31104*a - 746496.
-2*(a + 72)**3
Factor -135*j**3 - 27820*j**2 - 1434275*j - 106090.
-5*(j + 103)**2*(27*j + 2)
Find f such that 4*f**4 + 52*f**3 - 4*f**2 - 52*f = 0.
-13, -1, 0, 1
Find c, given that 11*c**5/3 - 86*c**4/3 + 68*c**3 - 136*c**2/3 - 32*c/3 = 0.
-2/11, 0, 2, 4
Let u**3/2 - u**2/2 - 5*u - 4 = 0. What is u?
-2, -1, 4
Let 3*g**4/2 - 21*g**3 + 36*g**2 = 0. Calculate g.
0, 2, 12
Find d such that 2*d**5/3 + 26*d**4 - 1034*d**3/3 + 3226*d**2/3 - 1224*d + 1400/3 = 0.
-50, 1, 2, 7
Find m such that -2*m**4/9 - 88*m**3/9 + 62*m**2/3 + 88*m/9 - 184/9 = 0.
-46, -1, 1, 2
Factor 2*f**2 - 164*f + 2112.
2*(f - 66)*(f - 16)
Find g such that -2*g**3 - 20*g**2 - 56*g - 48 = 0.
-6, -2
Factor 45*k**5 + 2220*k**4 + 34310*k**3 + 170940*k**2 + 266805*k.
5*k*(k + 21)**2*(3*k + 11)**2
Factor 5*n**2 - 95*n + 170.
5*(n - 17)*(n - 2)
Solve -17*n**4/8 + 185*n**3/8 - 301*n**2/8 + 115*n/8 + 9/4 = 0 for n.
-2/17, 1, 9
Factor -2*g**2 + 448*g + 1824.
-2*(g - 228)*(g + 4)
Factor 2*z**3/11 + 10*z**2/11 + 8*z/11.
2*z*(z + 1)*(z + 4)/11
Let 5*f**3 - 65*f**2 - 320*f - 340 = 0. Calculate f.
-2, 17
Factor -30*h**3/7 + 16068*h**2/7.
-6*h**2*(5*h - 2678)/7
Determine m so that -6*m**2/19 - 98*m/19 - 92/19 = 0.
-46/3, -1
Factor 2*g**2/5 - 6*g.
2*g*(g - 15)/5
What is g in -g**5/6 + 3*g**4/2 + 67*g**3/6 + 17*g**2/2 - 21*g = 0?
-3, 0, 1, 14
Determine a, given that a**5/2 - a**4/2 - 29*a**3/2 + 45*a**2/2 + 108*a - 216 = 0.
-4, 3
Factor 3*w**2/7 + 111*w/7 - 492/7.
3*(w - 4)*(w + 41)/7
Factor b**5 - 17*b**4 - 3*b**3 + 49*b**2 + 34*b.
b*(b - 17)*(b - 2)*(b + 1)**2
Factor 3*b**3 - 102*b**2 + 345*b + 450.
3*(b - 30)*(b - 5)*(b + 1)
Factor 4*t**5 + 28*t**4 + 68*t**3 + 68*t**2 + 24*t.
4*t*(t + 1)**2*(t + 2)*(t + 3)
Suppose i**3/8 + 15*i**2 - 121*i/8 = 0. What is i?
-121, 0, 1
Factor 10*y**3 + 16*y**2 - 8*y.
2*y*(y + 2)*(5*y - 2)
Let 2*u**2/3 - 380*u/3 + 18050/3 = 0. What is u?
95
Determine a so that -4*a**4/5 - 12*a**3/5 + 12*a**2/5 + 28*a/5 - 24/5 = 0.
-3, -2, 1
Factor 3*l**5/2 - 81*l**4 + 159*l**3/2.
3*l**3*(l - 53)*(l - 1)/2
Find j such that -100*j**5/3 - 740*j**4 + 7124*j**3/3 + 964*j**2 - 5152*j/3 + 400 = 0.
-25, -1, 2/5, 3
Factor 2*r**2 - 64*r/3 - 22/3.
2*(r - 11)*(3*r + 1)/3
Factor a**5 - 11*a**4 + 43*a**3 - 69*a**2 + 36*a.
a*(a - 4)*(a - 3)**2*(a - 1)
Factor 5*u**3 - 225*u**2 + 1000*u.
5*u*(u - 40)*(u - 5)
Suppose 2*f**3/15 + 6*f**2 + 328*f/15 = 0. What is f?
-41, -4, 0
Factor 2*u**4/5 - 42*u**3/5 + 274*u**2/5 - 558*u/5 + 324/5.
2*(u - 9)**2*(u - 2)*(u - 1)/5
Factor 6*l**4 - 16*l**3 + 14*l**2 - 4*l.
2*l*(l - 1)**2*(3*l - 2)
Let l**3/2 - 119*l**2 + 707*l/2 - 235 = 0. What is l?
1, 2, 235
Factor 4*p**3 - 176*p**2 + 656*p - 640.
4*(p - 40)*(p - 2)**2
Solve -y**2 - 95*y - 94 = 0 for y.
-94, -1
Solve -r**5/2 - 14*r**4 + 91*r**3/2 - 31*r**2 = 0.
-31, 0, 1, 2
Factor g**3 - 376*g**2 + 35344*g.
g*(g - 188)**2
Suppose -3*w**2/4 + 75/4 = 0. What is w?
-5, 5
Let -4*j**3 - 404*j**2 + 820*j - 412 = 0. Calculate j.
-103, 1
Factor -3*u**3/8 + 21*u**2 + 531*u/8.
-3*u*(u - 59)*(u + 3)/8
Find b such that 507*b**5/5 + 29367*b**4/5 + 115173*b**3 + 3990513*b**2/5 + 3326976*b/5 + 740772/5 = 0.
-19, -6/13
Solve 10*y**4/7 - 416*y**3/7 + 606*y**2 + 252*y = 0 for y.
-2/5, 0, 21
What is p in 2*p**5/5 - 18*p**4/5 + 42*p**3/5 - 38*p**2/5 + 12*p/5 = 0?
0, 1, 6
Factor c**3 + 7*c**2 + 7*c - 15.
(c - 1)*(c + 3)*(c + 5)
Factor -s**3/2 + 5885*s**2/2 - 4330624*s + 4327682.
-(s - 2942)**2*(s - 1)/2
Suppose 5*g**2 + 95*g - 460 = 0. Calculate g.
-23, 4
Find n, given that -16*n**2/7 - 12*n/7 + 4/7 = 0.
-1, 1/4
Factor 4*f**3/7 + 40*f**2/7 + 96*f/7.
4*f*(f + 4)*(f + 6)/7
Factor 2*b**3 + 9812*b**2 + 12044224*b + 24049216.
2*(b + 2)*(b + 2452)**2
Factor 5*b**3 + 1275*b**2 + 108375*b + 3070625.
5*(b + 85)**3
Factor 190*g**2 + 265*g - 30.
5*(2*g + 3)*(19*g - 2)
Factor 3*m**3/8 + 189*m**2/4 + 375*m/8.
3*m*(m + 1)*(m + 125)/8
Factor -4*g**3 + 4572*g**2 - 1308732*g + 1304164.
-4*(g - 571)**2*(g - 1)
Suppose -4*h**2 + 424*h - 1236 = 0. Calculate h.
3, 103
What is m in -4*m**4 + 2316*m**3 - 16048*m**2 + 18240*m + 36608 = 0?
-1, 4, 572
Factor -16*j**3 + 268*j**2 - 188*j - 64.
-4*(j - 16)*(j - 1)*(4*j + 1)
Find o such that 2*o**3/5 + 4*o**2/5 - 14*o/5 + 8/5 = 0.
-4, 1
Suppose 2*k**4 + 54*k**3 + 528*k**2 + 2176*k + 3072 = 0. What is k?
-8, -3
Factor -9*s**5 - 218*s**4 - 48*s**3.
-s**3*(s + 24)*(9*s + 2)
Solve -20*u**5 - 8*u**4 + 300*u**3 + 320*u**2 - 400*u - 192 = 0.
-3, -2, -2/5, 1, 4
Factor 4*f**4 + 52*f**3 + 248*f**2 + 512*f + 384.
4*(f + 2)*(f + 3)*(f + 4)**2
Factor h**4 + 6*h**3 + 4*h**2 - 24*h - 32.
(h - 2)*(h + 2)**2*(h + 4)
Factor -2*k**3/9 - 244*k**2/9 - 4280*k/9 - 6800/3.
-2*(k + 10)**2*(k + 102)/9
Find f, given that 63*f**4/5 - 51*f**3 - 3396*f**2/5 + 516*f + 1008/5 = 0.
-6, -2/7, 1, 28/3
Determine x, given that 3*x**2/4 + 1335*x/4 - 669/2 = 0.
-446, 1
Factor -2*z**3 + 18*z**2 - 48*z + 32.
-2*(z - 4)**2*(z - 1)
Factor -2*n**2 + 358*n + 1092.
-2*(n - 182)*(n + 3)
Let 4*c**5 + 24*c**4 - 8*c**3 - 192*c**2 - 284*c - 120 = 0. What is c?
-5, -2, -1, 3
Solve -6*c**4 - 46*c**3 + 2*c**2 + 470*c + 300 = 0.
-5, -2/3, 3
Factor 11*k**5 - 13*k**4/2 + k**3/2.
k**3*(2*k - 1)*(11*k - 1)/2
Factor -v**4/8 + 57*v**3/2 + 925*v**2/8 + 87*v.
-v*(v - 232)*(v + 1)*(v + 3)/8
Factor 2*b**2 - 384*b + 18432.
2*(b - 96)**2
Determine b, given that -2*b**2/9 - 388*b/9 + 1990/9 = 0.
-199, 5
Factor -4*g**3 + 988*g**2 + 4*g - 988.
-4*(g - 247)*(g - 1)*(g + 1)
Factor 5*z**3 - 1275*z**2 + 6220*z + 7500.
5*(z - 250)*(z - 6)*(z + 1)
Find c, given that 28*c**3 + 132*c**2 + 72*c - 32 = 0.
-4, -1, 2/7
Let -3*m**2 + 69*m - 180 = 0. What is m?
3, 20
What is z in 2*z**2/7 - 22*z/7 - 304/7 = 0?
-8, 19
Suppose 2*x**3 + 76*x**2 - 8*x - 304 = 0. What is x?
-38, -2, 2
Let 2*g**2/9 - 50*g/9 - 52/9 = 0. What is g?
-1, 26
Solve -2*n**3/3 - 10*n**2/3 - 2*n + 6 = 0.
-3, 1
Determine v, given that v**2/6 + 589*v/2 = 0.
-1767, 0
Factor 676*h**3 + 1356*h**2 + 684*h + 4.
4*(h + 1)**2*(169*h + 1)
Factor 5*v**2/8 + 19*v/4 - 2.
(v + 8)*(5*v - 2)/8
Solve u**4/5 + 6*u**3 + 128*u**2/5 - 384*u/5 = 0 for u.
-24, -8, 0, 2
Factor 3*o**2 + 54*o - 3024.
3*(o - 24)*(o + 42)
Factor -25*m**4 - 1040*m**3 - 10605*m**2 + 4410*m.
-5*m*(m + 21)**2*(5*m - 2)
Factor -5*b**5 + 25*b**4 - 35*b**3 + 15*b**2.
-5*b**2*(b - 3)*(b - 1)**2
Factor 3*u**5/2 + 21*u**4/2 + 12*u**3 - 24*u**2.
3*u**2*(u - 1)*(u + 4)**2/2
Solve 2*z**2/3 + 740*z/3 + 68450/3 = 0 for z.
-185
Let -75*j**4 - 1569*j**3 + 1776*j**2 - 132*j = 0. Calculate j.
-22, 0, 2/25, 1
Factor o**2 + 21*o + 38.
(o + 2)*(o + 19)
Determine s so that -s**4/7 - 6*s**3/7 + s**2 = 0.
-7, 0, 1
Find l, given that l**4/3 + 2*l**3/3 - l**2/3 - 2*l/3 = 0.
-2, -1, 0, 1
Factor y**4/2 + 19*y**3/2 + 51*y**2/2 + 49*y/2 + 8.
(y + 1)**3*(y + 16)/2
Factor -x**4/3 + x**3/2 + 3*x**2 + 4*x/3.
-x*(x - 4)*(x + 2)*(2*x + 1)/6
Solve -6*l**3 - 562*l**2/3 - 4084*l/3 - 880/3 = 0 for l.
-20, -11, -2/9
Factor -2*k**2/11 - 70*k/11 - 68/11.
-2*(k + 1)*(k + 34)/11
Factor -2*t**3/9 - 7796*t**2/9 - 7597202*t/9.
-2*t*(t + 1949)**2/9
Factor -f**2/4 + 428*f - 183184.
-(f - 856)**2/4
Factor 4*v**3 - 4*v**2 - 4*v + 4.
4*(v - 1)**2*(v + 1)
Let -k**4/3 + 11*k**3/3 - 3*k**2 - 11*k/3 + 10/3 = 0. Calculate k.
-1, 1, 10
What is w in w**3/2 - 20*w**2 + 37*w/2 + 39 = 0?
-1, 2, 39
Factor -2*b**3/3 - 6*b**2.
-2*b**2*(b + 9)/3
Suppose -o**5 - 10*o**4 - 27*o**3 - 2*o**2 + 40*o = 0. What is o?
-5, -4, -2, 0, 1
Solve -9*m**5 + 777*m**4 - 22938*m**3 + 247464*m**2 - 475104*m + 131712 = 0 for m.
1/3, 2, 28
What is t in -t**2 - 324*t - 26244 = 0?
-162
Let i**5/5 + 8*i**4/5 + 23*i**3/5 + 28*i**2/5 + 12*i/5 = 0. Calculate i.
-3, -2, -1, 0
Let -4*y**2/11 + 298*y/11 - 148/11 = 0. What is y?
1/2, 74
Suppose -x**3/5 + 6*x**2/5 - 11*x/5 + 6/5 = 0. Calculate x.
1, 2, 3
Determine z so that -2*z**3/13 - 6*z**2/13 - 4*z/13 = 0.
-2, -1, 0
What is b in 5*b**3 - 51840*b**2 + 179159040*b - 206391214080 = 0?
3456
Suppose 16*r**5 - 60*r**4 + 32*r**3 + 12*r**2 = 0. Calculate r.
-1/4, 0, 1, 3
Factor 2*x**3 + 34*x**2 + 78*x - 594.
2*(x - 3)*(x + 9)*(x + 11)
Find r, given that -4*r**2/3 - 62*r + 94