 886)**2/7
Factor 3*u**2 + 762*u + 48387.
3*(u + 127)**2
Factor -5*m**2/3 + 85*m/3 - 50.
-5*(m - 15)*(m - 2)/3
Solve 2*u**4/7 + 8*u**3 + 96*u**2/7 - 4320*u/7 + 7776/7 = 0.
-18, 2, 6
Find s, given that -2*s**3/5 - 78*s**2/5 - 414*s/5 - 594/5 = 0.
-33, -3
Factor 3*c**3/7 + 48*c**2/7 + 156*c/7 + 144/7.
3*(c + 2)**2*(c + 12)/7
Let -20*y**2 - 564*y - 112 = 0. Calculate y.
-28, -1/5
Determine p so that -6*p**4 - 11*p**3 + 2*p**2 = 0.
-2, 0, 1/6
What is u in -u**2/3 - 64*u/3 - 320 = 0?
-40, -24
Factor -v**3 + 228*v**2 - 13221*v + 25538.
-(v - 113)**2*(v - 2)
Let 2*n**3/7 - 52*n**2/7 - 530*n/7 - 68 = 0. Calculate n.
-7, -1, 34
Factor -3*q**2 + 99*q - 270.
-3*(q - 30)*(q - 3)
Solve k**4/4 - k**3/2 = 0.
0, 2
Factor -a**3/7 + 41*a**2/7 - 354*a/7 + 720/7.
-(a - 30)*(a - 8)*(a - 3)/7
Suppose -w**2/2 - w + 3/2 = 0. Calculate w.
-3, 1
Factor 18*n**3/5 + 854*n**2/15 + 3296*n/15 - 128/3.
2*(n + 8)**2*(27*n - 5)/15
Factor -f**2/2 + 14*f - 27/2.
-(f - 27)*(f - 1)/2
Solve 5*z**3 + 40*z**2 + 80*z = 0.
-4, 0
Find o such that o**5/3 + 32*o**4/3 + 70*o**3 + 448*o**2/3 + 389*o/3 + 40 = 0.
-24, -5, -1
Solve 2*m**4 + 20*m**3 + 70*m**2 + 100*m + 48 = 0 for m.
-4, -3, -2, -1
Determine g, given that -6*g**3 + 15*g**2 = 0.
0, 5/2
Determine j so that -3*j**4/8 + 285*j**3/4 - 27639*j**2/8 + 13395*j/2 - 6627/2 = 0.
1, 94
Let o**5 - 265*o**4 + 16032*o**3 + 202824*o**2 + 466992*o - 685584 = 0. Calculate o.
-6, 1, 138
What is w in -w**4 - 7*w**3 - 6*w**2 + 32*w + 32 = 0?
-4, -1, 2
Factor y**4 - 27*y**3 - 238*y**2.
y**2*(y - 34)*(y + 7)
Determine m so that -8*m**5/7 + 73*m**4/7 + 103*m**3/7 - 302*m**2/7 - 284*m/7 + 40/7 = 0.
-2, -1, 1/8, 2, 10
Suppose -d**2/4 - 13*d - 451/4 = 0. Calculate d.
-41, -11
Determine g so that 2*g**4 + 20*g**3 - 2*g**2 - 20*g = 0.
-10, -1, 0, 1
Find o such that 2*o**2/11 - 54*o/11 + 184/11 = 0.
4, 23
Let 2*q**2/15 + 26*q/5 + 148/15 = 0. Calculate q.
-37, -2
Factor 5*j**3 + 245*j**2 - 5*j - 245.
5*(j - 1)*(j + 1)*(j + 49)
Factor -t**4 + 19*t**3 + 237*t**2 + 413*t + 196.
-(t - 28)*(t + 1)**2*(t + 7)
Factor -r**4/6 + 61*r**3/6 - 82*r**2 + 632*r/3 - 416/3.
-(r - 52)*(r - 4)**2*(r - 1)/6
Determine n, given that -2*n**2/15 - 12*n/5 + 806/15 = 0.
-31, 13
Solve 3*l**5/2 - 21*l**4/2 - 9*l**3/2 + 69*l**2/2 - 21*l = 0 for l.
-2, 0, 1, 7
Let -3*c**2 - 1031*c - 686 = 0. What is c?
-343, -2/3
Solve 583696*g**2 + 3056*g + 4 = 0.
-1/382
Determine r so that 3*r**4/8 + 111*r**3/8 + 423*r**2/4 - 420*r + 300 = 0.
-20, 1, 2
Factor -8*b**4 + 50*b**3 - 84*b**2 + 18*b.
-2*b*(b - 3)**2*(4*b - 1)
Suppose 26244*x**5 + 1414260*x**4 + 28917000*x**3 + 270191880*x**2 + 1044798580*x + 802135684 = 0. What is x?
-119/9, -1
Factor 3*m**5 + 15*m**4 + 18*m**3 - 6*m**2 - 21*m - 9.
3*(m - 1)*(m + 1)**3*(m + 3)
Factor 3*z**3/7 + 18*z**2/7 - 111*z/7 + 90/7.
3*(z - 3)*(z - 1)*(z + 10)/7
Determine w, given that 3*w**4 + 63*w**3 + 324*w**2 - 420*w - 3600 = 0.
-10, -4, 3
Find o such that -3*o**4/7 - 24*o**3/7 + 27*o**2/7 = 0.
-9, 0, 1
Suppose n**5/3 - 5*n**4/3 - n**3 + 15*n**2 - 18*n = 0. What is n?
-3, 0, 2, 3
Factor 25*v**3 - 55*v**2 + 35*v - 5.
5*(v - 1)**2*(5*v - 1)
Factor -f**2 + 66*f - 464.
-(f - 58)*(f - 8)
Factor -3*j**4 + 21*j**2 - 18*j.
-3*j*(j - 2)*(j - 1)*(j + 3)
Factor 20*p**2/3 + 184*p/3.
4*p*(5*p + 46)/3
Factor d**5 + 8*d**4 + 17*d**3 + 10*d**2.
d**2*(d + 1)*(d + 2)*(d + 5)
Factor -q**4/2 + 249*q**3/2.
-q**3*(q - 249)/2
Factor -147*s**4/2 + 2660*s**3 - 46311*s**2/2 - 16641*s.
-s*(3*s + 2)*(7*s - 129)**2/2
Determine u so that 4*u**4 + 12*u**3 - 52*u**2 - 60*u = 0.
-5, -1, 0, 3
Factor -3*m**2 + 69*m - 66.
-3*(m - 22)*(m - 1)
Find u such that 5*u**5 - 30*u**4 - 50*u**3 + 80*u**2 + 165*u + 70 = 0.
-1, 2, 7
Determine d so that -5*d**3 + 3430*d**2 - 595045*d + 2325620 = 0.
4, 341
Determine j, given that -j**5 - 45*j**4 - 246*j**3 - 476*j**2 - 312*j = 0.
-39, -2, 0
What is q in 16*q**4 + 188*q**3 + 516*q**2 - 288*q - 432 = 0?
-6, -3/4, 1
Factor -2*v**2/3 + 1528*v - 875544.
-2*(v - 1146)**2/3
Let 3*d**5/5 + 174*d**4/5 - 357*d**3/5 + 36*d**2 = 0. What is d?
-60, 0, 1
Factor 3*z**4/2 + 18*z**3 + 135*z**2/2 + 87*z + 36.
3*(z + 1)**2*(z + 4)*(z + 6)/2
Factor -6655*d**3 - 12705*d**2 - 8085*d - 1715.
-5*(11*d + 7)**3
Suppose -4*p**5 + 344*p**4 - 660*p**3 - 1040*p**2 + 2704*p - 1344 = 0. What is p?
-2, 1, 2, 84
Factor -g**2/2 + 66*g.
-g*(g - 132)/2
Factor -a**2/5 - 14*a/5 + 32/5.
-(a - 2)*(a + 16)/5
Factor -3*s**3 + 369*s**2 - 13365*s + 150903.
-3*(s - 69)*(s - 27)**2
Suppose 3*g**2/8 - 48*g + 1845/8 = 0. Calculate g.
5, 123
Find q such that q**5 - 24*q**4 + 183*q**3 - 460*q**2 + 300*q = 0.
0, 1, 3, 10
What is l in -2*l**4/11 + 12*l**3/11 + 48*l**2/11 + 52*l/11 + 18/11 = 0?
-1, 9
Factor g**2/3 + 364*g/3 - 365/3.
(g - 1)*(g + 365)/3
Solve g**2/4 - 8*g - 369/4 = 0.
-9, 41
Find a such that a**3 + 189*a**2 + 375*a + 187 = 0.
-187, -1
What is y in -3*y**4 + 195*y**3 + 615*y**2 - 195*y - 612 = 0?
-3, -1, 1, 68
Determine j, given that -5*j**3 + 65*j**2 + 5*j - 65 = 0.
-1, 1, 13
Factor -4*h**3 + 124*h**2 - 520*h.
-4*h*(h - 26)*(h - 5)
Suppose -5*t**4 - 95*t**3 - 495*t**2 - 405*t = 0. Calculate t.
-9, -1, 0
Factor 2*g**3/15 + 8*g**2/15 + 2*g/15 - 4/5.
2*(g - 1)*(g + 2)*(g + 3)/15
Find v such that -3*v**5 - 15*v**4 + 135*v**3 - 165*v**2 - 132*v + 180 = 0.
-10, -1, 1, 2, 3
Factor 13*w**4 + 67*w**3 - 94*w**2 - 640*w - 96.
(w - 3)*(w + 4)**2*(13*w + 2)
Suppose 2*g**3/5 + 16*g**2 - 86*g/5 - 164/5 = 0. What is g?
-41, -1, 2
Suppose -d**3/5 + 126*d**2/5 + 127*d/5 = 0. Calculate d.
-1, 0, 127
Factor -3*a**2 + 15*a + 18.
-3*(a - 6)*(a + 1)
Factor -2*w**2/5 - 11*w - 27/5.
-(w + 27)*(2*w + 1)/5
Factor 2*m**2/5 + 768*m/5 - 154.
2*(m - 1)*(m + 385)/5
Solve -3*n**4 - 57*n**3 - 270*n**2 + 324*n + 3240 = 0 for n.
-10, -6, 3
Solve 2*q**4/7 + 12*q**3/7 - 94*q**2/7 - 48*q + 224 = 0 for q.
-7, 4
Find a, given that -a**5/3 + 41*a**4/3 - 488*a**3/3 + 2392*a**2/3 - 1648*a + 1200 = 0.
2, 6, 25
Factor 2*o**5 - 30*o**4 + 2160*o**2 - 12960*o + 23328.
2*(o - 6)**4*(o + 9)
Solve -28*w**5/3 + 328*w**4/3 - 1192*w**3/3 + 1312*w**2/3 - 220*w/3 - 200/3 = 0 for w.
-2/7, 1, 5
Suppose 39*o**3 - 15*o**2 - 39*o + 15 = 0. Calculate o.
-1, 5/13, 1
Determine b so that -5*b**3 - 7220*b**2 + 20*b + 28880 = 0.
-1444, -2, 2
Determine t, given that 2*t**3 + 9474*t**2 + 14959446*t + 7873655078 = 0.
-1579
Solve -c**3 + 302*c**2 - 5740*c + 28200 = 0.
10, 282
Solve -16820*r**2 + 8700*r - 1125 = 0 for r.
15/58
Factor 8*f**3 - 194*f**2 - 152*f + 50.
2*(f - 25)*(f + 1)*(4*f - 1)
Factor -h**5 - 38*h**4 - 321*h**3 + 760*h**2 - 400*h.
-h*(h - 1)**2*(h + 20)**2
Factor -3*h**4 + 78*h**3 + 177*h**2 - 8892*h - 38988.
-3*(h - 19)**2*(h + 6)**2
Factor 4*k**3 + 152*k**2 + 1840*k + 7200.
4*(k + 10)**2*(k + 18)
Determine w so that -4*w**3 + 312*w**2 = 0.
0, 78
Factor 2*r**3/9 + 10*r**2/3 + 94*r/9 + 22/3.
2*(r + 1)*(r + 3)*(r + 11)/9
Factor -v**3 - 4*v**2 + 3*v + 18.
-(v - 2)*(v + 3)**2
Find k, given that 3*k**2 + 30*k + 72 = 0.
-6, -4
Find g, given that 2*g**5 - 8*g**4 + 10*g**3 - 4*g**2 = 0.
0, 1, 2
Factor -42*c**3/5 - 167*c**2/5 - 164*c/5 + 4/5.
-(c + 2)**2*(42*c - 1)/5
Factor -p**2/3 - 296*p/3 - 21904/3.
-(p + 148)**2/3
Find u such that 3*u**3/2 + 18*u**2 + 63*u/2 + 15 = 0.
-10, -1
Find u, given that 2*u**4/3 - 22*u**3/3 + 24*u**2 - 32*u/3 - 128/3 = 0.
-1, 4
Factor c**5/3 - 40*c**4/3 + 176*c**3 - 2560*c**2/3 + 4096*c/3.
c*(c - 16)**2*(c - 4)**2/3
Find w such that -8*w**3 + 86*w**2 + 346*w + 252 = 0.
-9/4, -1, 14
Solve 5*w**4/3 - 260*w**3 + 31190*w**2/3 - 20020*w + 29645/3 = 0 for w.
1, 77
Find z, given that 5*z**4 - 1230*z**3 - 3755*z**2 + 4980*z = 0.
-4, 0, 1, 249
Determine c, given that 9*c**4 + 87*c**3 + 153*c**2 - 123*c - 126 = 0.
-7, -3, -2/3, 1
Factor 99*b**3 + 1479*b**2 + 2484*b - 156.
3*(b + 2)*(b + 13)*(33*b - 2)
Solve z**3/6 - z**2/2 + z/2 - 1/6 = 0 for z.
1
Find s such that 2*s**4 - 126*s**3 + 480*s**2 - 472*s = 0.
0, 2, 59
Factor 2*h**2 - 216*h + 214.
2*(h - 107)*(h - 1)
Suppose d**2/2 - 345*d - 2088 = 0. What is d?
-6, 696
Find i such that 4*i**3 + 116*i**2 + 896*i + 784 = 0.
-14, -1
Suppose g**5/6 + 29*g**4/3 + 37*g**3 + 164*g**2/3 + 217*g/6 + 9 = 0. What is g?
-54, -1
Factor -3*b**2/2 - 2625*b.
-3*b*(b + 1750)/2
Find m such that -45*m**4 - 280*m**3 - 420*m**2 - 80*m = 0.
-4, -2, -2/9, 0
Solve -j**5/2 - 11*j**4/2 + 93*j**3/2 - 153*j**2/2 = 0.
-17, 0,