+ 174*l**2/7 - 2*l/7 = 0?
0, 1/43, 1
Determine f so that 2*f**2/5 - 132*f/5 + 2178/5 = 0.
33
Determine j so that 2*j**5/7 + 4*j**4/7 - 12*j**3/7 - 16*j**2/7 + 10*j/7 + 12/7 = 0.
-3, -1, 1, 2
Factor 76*s**2 - 4720*s + 496.
4*(s - 62)*(19*s - 2)
Determine q so that -2*q**2/9 - 52*q/9 - 70/3 = 0.
-21, -5
Find y, given that -38*y**3/23 - 186*y**2/23 + 248*y/23 - 24/23 = 0.
-6, 2/19, 1
Factor 4*g**3/5 - 16*g**2/5 + 12*g/5.
4*g*(g - 3)*(g - 1)/5
Suppose 2*q**2 - 312*q - 314 = 0. Calculate q.
-1, 157
Factor -67712*u**4/7 + 68448*u**3/7 - 738*u**2/7 + 2*u/7.
-2*u*(u - 1)*(184*u - 1)**2/7
Let -2*l**3/9 - 28*l**2/3 - 88*l - 240 = 0. What is l?
-30, -6
Let -2*k**2 - 32*k + 1024 = 0. What is k?
-32, 16
Factor -4*w**4 - 84*w**3 + 400*w**2.
-4*w**2*(w - 4)*(w + 25)
Determine r, given that -3*r**4 - 15*r**3 + 12*r**2 + 132*r + 144 = 0.
-4, -2, 3
What is v in 2*v**2/3 - 38*v + 220/3 = 0?
2, 55
Find v such that -16*v**2 + 3028*v - 756 = 0.
1/4, 189
Factor -2*h**3/13 - 6*h**2/13 + 162*h/13 - 154/13.
-2*(h - 7)*(h - 1)*(h + 11)/13
Find i such that -5*i**2/6 - 1043*i/6 + 209/3 = 0.
-209, 2/5
Factor 4*g**4/3 + 3532*g**3/3 + 346920*g**2 + 34228656*g + 33882912.
4*(g + 1)*(g + 294)**3/3
Factor i**3 + 44*i**2 + 160*i.
i*(i + 4)*(i + 40)
Find h, given that h**5/6 - 3*h**4/2 + 5*h**3 - 23*h**2/3 + 11*h/2 - 3/2 = 0.
1, 3
Suppose c**4/2 - 3*c**3 + c**2/2 + 12*c - 10 = 0. What is c?
-2, 1, 2, 5
Factor i**2/2 - 75*i + 5625/2.
(i - 75)**2/2
Factor 2*o**2/3 + 232*o/3 - 78.
2*(o - 1)*(o + 117)/3
Solve -m**4/4 - 3*m**3/4 - m**2/2 = 0 for m.
-2, -1, 0
What is d in 15*d**5 + 860*d**4 - 595*d**3 - 860*d**2 + 580*d = 0?
-58, -1, 0, 2/3, 1
Factor -2*v**5/3 + 10*v**4 + 54*v**3 - 1458*v**2 + 5832*v.
-2*v*(v - 9)**3*(v + 12)/3
Factor -3*w**3 - 3246*w**2 - 878043*w.
-3*w*(w + 541)**2
Determine m, given that -2*m**2 + 2028*m - 514098 = 0.
507
Factor 2*p**4/5 + 8*p**3/5 - 84*p**2/5 + 72*p/5 + 162/5.
2*(p - 3)**2*(p + 1)*(p + 9)/5
Factor 4*p**4 - 108*p**3 + 828*p**2 - 1348*p + 624.
4*(p - 13)*(p - 12)*(p - 1)**2
What is v in 10*v**5 - 415*v**4/2 + 1375*v**3/2 + 4025*v**2 + 3840*v + 720 = 0?
-2, -1, -1/4, 12
Determine p, given that 2*p**3 - 1010*p**2 + 133824*p - 1573416 = 0.
13, 246
Find y, given that 2*y**4 - 10*y**3 - 14*y**2 + 10*y + 12 = 0.
-1, 1, 6
Factor a**3 - 49*a**2 + 592*a - 2112.
(a - 33)*(a - 8)**2
Factor 3*j**5/7 - 6*j**3/7 + 3*j/7.
3*j*(j - 1)**2*(j + 1)**2/7
Solve 3*i**3 + 240*i**2 - 996*i + 1008 = 0.
-84, 2
Find s such that 2*s**2 + 114*s = 0.
-57, 0
Find k, given that 3*k**2 - 312*k + 8112 = 0.
52
Determine l so that -l**3 - 27*l**2 + 30*l + 56 = 0.
-28, -1, 2
Factor -6*b**4/7 - 36*b**3/7 + 90*b**2/7 - 48*b/7.
-6*b*(b - 1)**2*(b + 8)/7
Factor -12*z**3 - 51*z**2 + 45*z.
-3*z*(z + 5)*(4*z - 3)
Determine r so that 48*r**5/7 + 1126*r**4/7 + 7372*r**3/7 + 9000*r**2/7 + 2948*r/7 + 242/7 = 0.
-11, -1, -1/3, -1/8
Solve -n**4 - 31*n**3 + 65*n**2 - 33*n = 0.
-33, 0, 1
Factor -v**4/7 + 26*v**3/7 - 169*v**2/7.
-v**2*(v - 13)**2/7
Let -2*r**2/13 + 40*r/13 - 102/13 = 0. What is r?
3, 17
Solve -7*d**3/3 - 67*d**2/3 + 10*d = 0.
-10, 0, 3/7
Factor -24565*j**3 - 1421880*j**2 - 27433920*j - 176437760.
-5*(17*j + 328)**3
Find f such that -243*f**3/5 - 21762*f**2/5 + 9708*f/5 - 216 = 0.
-90, 2/9
Factor -d**3/12 + 71*d**2/12 + 99*d/4 + 75/4.
-(d - 75)*(d + 1)*(d + 3)/12
Find f, given that 33*f**3/2 + 3441*f**2 + 180336*f + 97344 = 0.
-104, -6/11
Suppose -2*d**5 + 2*d**4 + 6*d**3 - 2*d**2 - 4*d = 0. What is d?
-1, 0, 1, 2
What is f in -15*f**5 - 20*f**4 + 550*f**3 - 340*f**2 - 175*f = 0?
-7, -1/3, 0, 1, 5
Find u, given that u**3/12 + u**2/4 - u/12 - 1/4 = 0.
-3, -1, 1
Factor -t**3 + 10*t**2 - 27*t + 18.
-(t - 6)*(t - 3)*(t - 1)
Find o such that -2*o**3/9 - 2*o**2 + 86*o/3 - 238/9 = 0.
-17, 1, 7
Suppose -2*t**3/15 - 76*t**2/5 - 142*t - 1040/3 = 0. Calculate t.
-104, -5
Factor 125*b**5 + 550*b**4 + 840*b**3 + 544*b**2 + 128*b.
b*(b + 2)*(5*b + 4)**3
Factor 20*q**2 - 1195*q - 300.
5*(q - 60)*(4*q + 1)
Suppose l**5 - 49*l**4 + 864*l**3 - 6104*l**2 + 8624*l + 49392 = 0. What is l?
-2, 9, 14
Suppose -3*c**3/4 + 129*c**2/2 - 5547*c/4 = 0. What is c?
0, 43
Suppose 9*q**4/7 + 375*q**3/7 + 606*q**2/7 + 240*q/7 = 0. Calculate q.
-40, -1, -2/3, 0
Suppose -w**5/6 - 19*w**4/6 - 79*w**3/6 - 133*w**2/6 - 50*w/3 - 14/3 = 0. Calculate w.
-14, -2, -1
Factor a**5/2 - 10*a**4.
a**4*(a - 20)/2
Factor 4*h**5 + 8*h**4 - 28*h**3 - 80*h**2 - 48*h.
4*h*(h - 3)*(h + 1)*(h + 2)**2
Factor -c**5 - 7*c**4 - 17*c**3 - 17*c**2 - 6*c.
-c*(c + 1)**2*(c + 2)*(c + 3)
Factor -z**2 - 2318*z/3 + 1032.
-(z + 774)*(3*z - 4)/3
Find s such that -s**3/5 + 742*s**2/5 - 27229*s - 556516/5 = 0.
-4, 373
Determine q, given that 8*q**2 + 214*q - 54 = 0.
-27, 1/4
Factor -18*x**3/11 - 30*x**2/11 + 64*x/11 - 24/11.
-2*(x + 3)*(3*x - 2)**2/11
Determine m so that -m**2 + 32*m - 87 = 0.
3, 29
Factor -3*x**3 + 183*x**2 - 3192*x + 11760.
-3*(x - 28)**2*(x - 5)
Solve -2*p**4/7 + 22*p**3/7 - 54*p**2/7 + 50*p/7 - 16/7 = 0.
1, 8
Let 484*f**4/3 - 264*f**3 - 596*f**2 - 560*f/3 - 16 = 0. What is f?
-1, -2/11, 3
Factor 35*g**4 - 10*g**3 - 105*g**2 + 100*g - 20.
5*(g - 1)**2*(g + 2)*(7*g - 2)
Suppose 2*n**5/19 - 1314*n**4/19 - 1318*n**3/19 + 1314*n**2/19 + 1316*n/19 = 0. What is n?
-1, 0, 1, 658
Factor 81*f**4 - 180*f**3 + 100*f**2.
f**2*(9*f - 10)**2
Factor -2*o**4/9 + 76*o**3/9 - 110*o**2/3.
-2*o**2*(o - 33)*(o - 5)/9
Factor -j**2/3 - j/3 + 24.
-(j - 8)*(j + 9)/3
Find c, given that -c**4/5 + 7*c**3/5 - 12*c**2/5 - 4*c/5 + 16/5 = 0.
-1, 2, 4
Solve 4*d**5 + 1600*d**4 + 4768*d**3 + 1576*d**2 - 4772*d - 3176 = 0 for d.
-397, -2, -1, 1
Factor 3*n**2 + 108*n - 228.
3*(n - 2)*(n + 38)
Suppose 5*y**2 - 400*y + 8000 = 0. What is y?
40
What is r in 25*r**2 + 52*r + 4 = 0?
-2, -2/25
Determine q so that -27*q**4 - 1710*q**3 + 1149*q**2 - 192*q = 0.
-64, 0, 1/3
Factor 4*j**3 - 1492*j**2 + 139872*j - 138384.
4*(j - 186)**2*(j - 1)
Suppose -2*y**5/11 + 24*y**4/11 - 54*y**3/11 - 80*y**2/11 = 0. Calculate y.
-1, 0, 5, 8
Find y such that -625*y**3/3 - 3325*y**2/3 - 1016*y/3 - 80/3 = 0.
-5, -4/25
Find a such that -2*a**4/5 + 6*a**2/5 - 4*a/5 = 0.
-2, 0, 1
Factor -2*s**3/11 - 32*s**2/11 - 104*s/11 - 96/11.
-2*(s + 2)**2*(s + 12)/11
What is m in -2*m**3 - 22*m**2 + 24*m = 0?
-12, 0, 1
Determine o, given that -3*o**4/4 - 57*o**3/2 - 1287*o**2/4 - 969*o - 867 = 0.
-17, -2
Find j, given that -20*j**4 - 155*j**3 - 385*j**2 - 370*j - 120 = 0.
-4, -2, -1, -3/4
Determine p so that -3*p**3/7 + 15*p**2 - 102*p/7 = 0.
0, 1, 34
Find s, given that -2*s**4/17 + 142*s**3/17 + 900*s**2/17 + 1832*s/17 + 1232/17 = 0.
-2, 77
Factor -5*i**3 + 210*i**2 - 2880*i + 12960.
-5*(i - 18)*(i - 12)**2
Suppose -j**4 + 2*j**3 + 9*j**2 - 18*j = 0. Calculate j.
-3, 0, 2, 3
Factor -3*d**2/8 - 147*d/8 + 495/4.
-3*(d - 6)*(d + 55)/8
Determine a so that -2*a**4/3 - 22*a**3/3 - 24*a**2 - 24*a = 0.
-6, -3, -2, 0
Factor -3*w**4 - 225*w**3 - 1062*w**2 - 840*w.
-3*w*(w + 1)*(w + 4)*(w + 70)
Factor 5*t**3/4 - 15*t**2 - 5*t/4 + 15.
5*(t - 12)*(t - 1)*(t + 1)/4
Factor 3*x**5 - 6*x**4 - 12*x**3 + 6*x**2 + 9*x.
3*x*(x - 3)*(x - 1)*(x + 1)**2
Find k such that 8*k**5 + 14*k**4 - 68*k**3 + 16*k**2 = 0.
-4, 0, 1/4, 2
What is l in -2*l**5 - 20*l**4 + 204*l**3 - 544*l**2 + 566*l - 204 = 0?
-17, 1, 2, 3
Determine f so that 2*f**4/9 - 2*f**3/9 - 4*f**2/9 = 0.
-1, 0, 2
Factor 16*w**3 - 6696*w**2 - 3351*w - 419.
(w - 419)*(4*w + 1)**2
Factor 10*k**3/7 + 284*k**2/7 + 632*k/7 + 208/7.
2*(k + 2)*(k + 26)*(5*k + 2)/7
Determine g so that 3*g**3/7 + 690*g**2/7 - 699*g/7 - 198 = 0.
-231, -1, 2
Factor 2*f**2/3 + 188*f/3 + 4418/3.
2*(f + 47)**2/3
Determine h so that 2*h**3/15 + 4*h**2/5 + 2*h/5 - 4/3 = 0.
-5, -2, 1
What is d in 4*d**3 - 76*d**2 + 192*d = 0?
0, 3, 16
Find b such that 5*b**5 - 65*b**4 - 150*b**3 = 0.
-2, 0, 15
Solve 2*d**2/9 - 13876*d/9 + 24067922/9 = 0 for d.
3469
Find n, given that -15*n**4 - 66*n**3 - 60*n**2 + 18*n + 27 = 0.
-3, -1, 3/5
Find j, given that -2*j**2/5 - 52*j/5 - 10 = 0.
-25, -1
Factor -2*i**5/15 - 82*i**4/15 - 146*i**3/5 - 42*i**2.
-2*i**2*(i + 3)**2*(i + 35)/15
Determine c, given that -c**3/2 - 59*c**2/2 + 124*c - 126 = 0.
-63, 2
Factor 2*h**2/5 + 668*h/5 + 55778/5.
2*(h + 167)**2/5
Solve 5*q**3 - 1365*q**2 + 124215*q - 3767855 = 0 for q.
91
Suppose 243*u**3 + 351*u**2 + 120*u + 12 = 0. What is u?
-1, -2/9