 r, given that -4*r**3 - 92*r**2 = 0.
-23, 0
Solve o**5/3 - 10*o**4/3 - 38*o**3/3 - 16*o**2/3 + 37*o/3 + 26/3 = 0.
-2, -1, 1, 13
Determine u so that -4*u**4/7 + 696*u**3/7 - 684*u**2/7 - 1384*u/7 = 0.
-1, 0, 2, 173
What is u in -12*u**2 + 8*u/3 = 0?
0, 2/9
Factor -3*g**2 + 591*g - 3990.
-3*(g - 190)*(g - 7)
What is o in o**3/5 + 29*o**2/5 - 32*o/5 - 12 = 0?
-30, -1, 2
Determine h so that -32*h**4/7 - 464*h**3/7 - 1506*h**2/7 - 668*h/7 - 80/7 = 0.
-10, -4, -1/4
Find s such that -3*s**3/7 + 2157*s**2/7 + 4323*s/7 + 309 = 0.
-1, 721
Suppose 2*n**3 - 544*n**2/9 + 214*n/3 - 116/9 = 0. Calculate n.
2/9, 1, 29
Factor -w**3/4 + 49*w**2/2 - 184*w + 360.
-(w - 90)*(w - 4)**2/4
Factor 4*j**2 + 76*j - 80.
4*(j - 1)*(j + 20)
Factor -3*j**3 - 252*j**2 + 255*j.
-3*j*(j - 1)*(j + 85)
Let 4*t**4 - 212*t**3 + 3452*t**2 - 17020*t + 25392 = 0. What is t?
3, 4, 23
Solve p**5 + 7*p**4 - 40*p**3 + 44*p**2 = 0.
-11, 0, 2
Determine r, given that 9*r**5 + 33*r**4 - 66*r**3 - 306*r**2 - 135*r + 81 = 0.
-3, -1, 1/3, 3
Determine j so that 35*j**4 + 65*j**3 - 150*j**2 - 260*j + 40 = 0.
-2, 1/7, 2
Factor -2*l**3/11 - 32*l**2/11 - 128*l/11.
-2*l*(l + 8)**2/11
Factor 3*a**3/7 - 597*a**2/7 + 27501*a/7 + 31827.
3*(a - 103)**2*(a + 7)/7
Determine h so that h**2 + 2960*h + 2190400 = 0.
-1480
Suppose 4*t**2 + 20*t + 16 = 0. What is t?
-4, -1
Solve 4*b**5 + 64*b**4 + 252*b**3 - 64*b**2 - 256*b = 0.
-8, -1, 0, 1
Factor 3*d**2 + 186*d - 189.
3*(d - 1)*(d + 63)
Suppose 2*z**4 + 104*z**3 + 1244*z**2 - 2808*z + 1458 = 0. What is z?
-27, 1
Factor -3*x**2/4 - 159*x/4 + 366.
-3*(x - 8)*(x + 61)/4
Suppose -2*h**3/9 + 68*h**2 - 6936*h + 235824 = 0. Calculate h.
102
Determine w so that -w**2/3 - 25*w/3 - 46/3 = 0.
-23, -2
Factor 4*p**2 - 68*p/3 + 40/3.
4*(p - 5)*(3*p - 2)/3
Factor -2*c**4 + 72*c**3 + 410*c**2.
-2*c**2*(c - 41)*(c + 5)
Factor 2*k**2/25 + 2524*k/25 + 796322/25.
2*(k + 631)**2/25
Factor 5*v**4 - 125*v**3 + 95*v**2 + 585*v + 360.
5*(v - 24)*(v - 3)*(v + 1)**2
Determine k so that -11212884*k**5/5 + 22187196*k**4/5 + 475452*k**3/5 + 676*k**2 + 8*k/5 = 0.
-1/141, 0, 2
Solve x**5/5 - 34*x**4/5 + 64*x**3/5 + 2*x**2/5 - 13*x + 32/5 = 0 for x.
-1, 1, 32
Factor -b**5 - 7*b**4 - 14*b**3 - 2*b**2 + 15*b + 9.
-(b - 1)*(b + 1)**2*(b + 3)**2
Factor 4*w**4 + 12*w**3 - 60*w**2 + 68*w - 24.
4*(w - 1)**3*(w + 6)
Factor 6*p**4 + 496*p**3/7 + 312*p**2/7.
2*p**2*(3*p + 2)*(7*p + 78)/7
Factor 3*b**2/7 - 1668*b/7.
3*b*(b - 556)/7
Factor 5*d**2 - 2755*d + 2750.
5*(d - 550)*(d - 1)
Factor -7*v**4 - 835*v**3 - 1064*v**2 - 236*v.
-v*(v + 1)*(v + 118)*(7*v + 2)
What is x in -42*x**4 + 32*x**3 + 40*x**2 = 0?
-2/3, 0, 10/7
Determine k so that k**3 - 8*k**2 - 9*k = 0.
-1, 0, 9
What is s in -12*s**5 + 52*s**4 + 8*s**3 - 152*s**2 - 60*s + 36 = 0?
-1, 1/3, 3
Factor -5*k**2 - 2285*k + 2290.
-5*(k - 1)*(k + 458)
Let -y**4 + 9*y**3 + 27*y**2 - 49*y - 66 = 0. What is y?
-3, -1, 2, 11
Factor o**3/9 + 73*o**2/9 + 143*o/9 + 71/9.
(o + 1)**2*(o + 71)/9
Factor -10*n**2/13 - 274*n/13 - 108/13.
-2*(n + 27)*(5*n + 2)/13
Factor d**2/5 + 11*d/5 + 18/5.
(d + 2)*(d + 9)/5
Suppose 3*f**3 - 165*f**2/4 - 213*f/2 - 24 = 0. What is f?
-2, -1/4, 16
Let 4*y**5 - 4*y**4 - 8*y**3 = 0. What is y?
-1, 0, 2
What is q in -21*q**5 - 36*q**4 + 369*q**3 + 276*q**2 - 1620*q + 432 = 0?
-4, -3, 2/7, 2, 3
Factor -2*j**2 + 16*j + 3840.
-2*(j - 48)*(j + 40)
Factor -2*m**3/9 - 34*m**2/9 + 128*m/9 + 160/9.
-2*(m - 4)*(m + 1)*(m + 20)/9
Determine l so that -5*l**4 - 360*l**3 + 35*l**2 + 2490*l - 2160 = 0.
-72, -3, 1, 2
Factor 4*v**3 - 192*v**2 - 4*v + 192.
4*(v - 48)*(v - 1)*(v + 1)
Solve -2*s**4/5 - 316*s**3/5 - 298*s**2/5 + 2536*s/5 + 3768/5 = 0.
-157, -2, 3
What is k in -4*k**4/5 - 18*k**3/5 - 4*k**2/5 + 18*k/5 + 8/5 = 0?
-4, -1, -1/2, 1
Factor -2*w**2 + 110*w + 228.
-2*(w - 57)*(w + 2)
Determine g, given that g**5 + 6*g**4 + 12*g**3 + 8*g**2 = 0.
-2, 0
Factor -4*t**2/3 - 16*t/3 + 128.
-4*(t - 8)*(t + 12)/3
Let -j**3/4 - 3*j**2/2 + 19*j/4 + 6 = 0. What is j?
-8, -1, 3
What is p in -2*p**3/9 - 22*p**2/3 + 146*p/9 + 70/3 = 0?
-35, -1, 3
Find r, given that 3*r**4/8 + 297*r**3/4 + 2343*r**2/8 + 729*r/2 + 291/2 = 0.
-194, -2, -1
Factor 4*x**2 + 96*x - 100.
4*(x - 1)*(x + 25)
Find d, given that 4*d**2 + 572*d = 0.
-143, 0
Factor 12*y**4 + 68*y**3 - 12*y**2 - 68*y.
4*y*(y - 1)*(y + 1)*(3*y + 17)
Determine r so that -r**3/4 - 2*r**2 - 4*r = 0.
-4, 0
Factor c**3/2 + 105*c**2/2 + 1500*c + 6250.
(c + 5)*(c + 50)**2/2
Determine y so that -2*y**5/17 - 8*y**4/17 - 2*y**3/17 + 12*y**2/17 = 0.
-3, -2, 0, 1
Let 2*a**3/7 - 32*a**2/7 + 102*a/7 - 72/7 = 0. What is a?
1, 3, 12
Factor 2*t**3/5 - 18*t**2/5 + 6*t + 10.
2*(t - 5)**2*(t + 1)/5
Let 2*m**3/7 + m**2/7 - m - 6/7 = 0. Calculate m.
-3/2, -1, 2
Suppose u**5 + 71*u**4 - 7*u**3 - 503*u**2 - 426*u = 0. Calculate u.
-71, -2, -1, 0, 3
Solve -2*g**2/3 + 3568*g/3 - 1591328/3 = 0.
892
Factor -7*h**2/4 - h/4.
-h*(7*h + 1)/4
Factor -18*g**3 + 332*g**2 + 198*g - 152.
-2*(g - 19)*(g + 1)*(9*g - 4)
Find i such that 3*i**5/2 + 147*i**4/2 + 1044*i**3 + 972*i**2 - 52488*i - 52488 = 0.
-18, -1, 6
Solve -10*x**4/7 - 146*x**3/7 - 320*x**2/7 - 88*x/7 + 96/7 = 0.
-12, -2, -1, 2/5
Find d such that -2*d**4/9 - 4*d**3/9 + 2*d**2/3 + 16*d/9 + 8/9 = 0.
-2, -1, 2
Factor o**3/3 - 6*o**2 + 89*o/3 - 44.
(o - 11)*(o - 4)*(o - 3)/3
Let 5*r**2 + 610*r + 605 = 0. What is r?
-121, -1
Let 4*v**2 - 912*v = 0. What is v?
0, 228
Suppose -p**4/3 - 46*p**3/3 - 71*p**2 - 332*p/3 - 164/3 = 0. What is p?
-41, -2, -1
Determine c, given that -c**2/8 - 35*c/8 - 33/4 = 0.
-33, -2
Find f, given that 2*f**2 - 404*f - 406 = 0.
-1, 203
Solve -4*q**5 + 8*q**4 + 20*q**3 - 40*q**2 - 16*q + 32 = 0 for q.
-2, -1, 1, 2
Suppose -98*o**4 - 1134*o**3 + 5256*o**2 + 3272*o + 480 = 0. What is o?
-15, -2/7, 4
Solve q**2/7 - 10*q/7 - 11/7 = 0.
-1, 11
Determine x, given that -3*x**4 + 33*x**3 - 114*x**2 + 156*x - 72 = 0.
1, 2, 6
What is j in 1200*j**2 + 360*j + 27 = 0?
-3/20
Determine b, given that -b**2 - 1009*b + 2022 = 0.
-1011, 2
Factor j**2/7 - 33*j/7 + 116/7.
(j - 29)*(j - 4)/7
Suppose -4*m**2/3 - 1784*m - 10688/3 = 0. Calculate m.
-1336, -2
Determine h so that -3*h**4/2 + 9*h**3 + 9*h**2/2 - 30*h + 18 = 0.
-2, 1, 6
Solve -5*w**2 + 25*w + 180 = 0.
-4, 9
Solve 2*w**5/5 + 2*w**4 + 14*w**3/5 - 2*w**2/5 - 16*w/5 - 8/5 = 0.
-2, -1, 1
Let -2*q**5/13 + 6*q**4/13 - 8*q**2/13 = 0. Calculate q.
-1, 0, 2
Let 2*a**5/15 - 4*a**4/3 + 62*a**3/15 - 4*a**2 = 0. What is a?
0, 2, 3, 5
Factor 8*m**5 + 102*m**4 + 454*m**3 + 776*m**2 + 288*m - 128.
2*(m + 1)*(m + 4)**3*(4*m - 1)
Let -3*l**2/4 + 180*l - 10800 = 0. Calculate l.
120
Determine m, given that -3*m**5 + 21*m**4 - 54*m**3 + 60*m**2 - 24*m = 0.
0, 1, 2
Factor -n**2/4 + 5*n/2 + 11/4.
-(n - 11)*(n + 1)/4
Factor -6*d**5/7 + 24*d**4/7 + 24*d**3 + 192*d**2/7.
-6*d**2*(d - 8)*(d + 2)**2/7
Solve 4*o**4 + 32*o**3 - 12*o**2 - 88*o + 64 = 0 for o.
-8, -2, 1
What is k in 3*k**3 - 228*k**2 - 705*k - 474 = 0?
-2, -1, 79
Factor 253125*z**4 - 4500*z**3 + 20*z**2.
5*z**2*(225*z - 2)**2
Factor -3*o**3 + 24*o**2 + 33*o - 54.
-3*(o - 9)*(o - 1)*(o + 2)
Solve -6*o**2 - 139*o - 23 = 0.
-23, -1/6
Let -2*c**2/3 - 4*c + 80/3 = 0. Calculate c.
-10, 4
Factor -3*d**4/5 - 228*d**3 - 142848*d**2/5 - 5701632*d/5 + 25165824/5.
-3*(d - 4)*(d + 128)**3/5
Factor 3*k**3 - 36*k**2.
3*k**2*(k - 12)
Factor -7*a**4 - 50*a**3 + 64*a**2 + 128*a.
-a*(a - 2)*(a + 8)*(7*a + 8)
Factor 4*g**2 + 92*g - 96.
4*(g - 1)*(g + 24)
Factor u**3/5 - 9*u**2/5 + 8*u/5.
u*(u - 8)*(u - 1)/5
Factor 9*s**4/7 + 30*s**3/7 + 16*s**2/7 - 30*s/7 - 25/7.
(s - 1)*(s + 1)*(3*s + 5)**2/7
Solve 10*o**5 - 545*o**4 + 8080*o**3 - 17945*o**2 + 13780*o - 3380 = 0.
1/2, 1, 26
Solve 5*o**2 - 105*o + 190 = 0 for o.
2, 19
Factor 5*y**3/4 - 725*y**2 + 105125*y.
5*y*(y - 290)**2/4
Factor z**3/11 - 7*z/11 - 6/11.
(z - 3)*(z + 1)*(z + 2)/11
Find z, given that -z**3 - 27*z**2 + z + 27 = 0.
-27, -1, 1
Factor z**3/7 - 6*z**2/7 + 9*z/7 - 4/7.
(z - 4)*(z - 1)**2/7
Suppose -q**2/2 - 21*q/2 - 10 = 0. Calculate q.
-20, -1
Find c, given that -235298*c**5/11 + 72030*c**4 - 269990*c**3/11 + 32550*c**2/11 - 1520*c/11 + 24/11 = 0.
2/49, 1/7, 3
Determine n so that n**2/7 + 5*n/7 - 6/7 = 0.
-6, 1
Solve 4*r**4 - 292*r**3 + 1844*r**2 + 292*r - 1848 = 0 for r.
-1, 1, 7, 66
Factor -2*l**2/3 + 98*l/3.
-2*l*(l - 49)/3
Factor -2*g**2 - 25