 s**2/3 - 34*s + 200/3 = 0. What is s?
2, 100
Find q such that 2*q**3/5 - 54*q**2/5 + 304*q/5 + 72 = 0.
-1, 10, 18
Suppose -4*l**2 + 5160*l + 5164 = 0. Calculate l.
-1, 1291
Determine t, given that 4*t**2/7 + 22840*t/7 + 32604100/7 = 0.
-2855
Let -2*z**2/7 - 8556*z/7 - 9150642/7 = 0. Calculate z.
-2139
Factor -b**3 - 162*b**2 - 321*b - 160.
-(b + 1)**2*(b + 160)
Let 20*s**2/9 + 116*s/9 - 8/3 = 0. Calculate s.
-6, 1/5
Solve -2*i**2/11 + 456*i/11 = 0.
0, 228
Factor -2*v**3/7 + 451*v**2/7 - 3616*v - 12769/7.
-(v - 113)**2*(2*v + 1)/7
Find j such that -6*j**5/5 - 39*j**4 - 636*j**3/5 - 798*j**2/5 - 438*j/5 - 87/5 = 0.
-29, -1, -1/2
Factor -2*c**3/3 - 154*c**2/3 - 302*c/3 - 50.
-2*(c + 1)**2*(c + 75)/3
Find u, given that -u**3 + 35*u**2 - 96*u = 0.
0, 3, 32
Factor 2*m**2 + 23*m/5 - 1.
(2*m + 5)*(5*m - 1)/5
Solve 2*t**4/11 - 4*t**3 + 282*t**2/11 - 656*t/11 + 416/11 = 0 for t.
1, 4, 13
Determine g, given that -g**4/2 - 165*g**3 - 17982*g**2 - 628371*g + 4102893/2 = 0.
-111, 3
Determine h, given that 2*h**2/13 - 14*h/13 - 36/13 = 0.
-2, 9
Let h**3 - 26*h**2 + 140*h + 392 = 0. Calculate h.
-2, 14
Factor -16*z**3/5 - 132*z**2/5 - 32*z/5.
-4*z*(z + 8)*(4*z + 1)/5
Factor 2*y**3 + 158*y**2 + 3198*y + 3042.
2*(y + 1)*(y + 39)**2
Solve 5*v**4 - 15*v**3 - 115*v**2 - 165*v - 70 = 0 for v.
-2, -1, 7
Determine t so that 2*t**3/19 - 32*t**2/19 - 72*t/19 = 0.
-2, 0, 18
Find s such that 20*s**5 - 232*s**4 - 196*s**3 + 3800*s**2 - 1984*s - 1408 = 0.
-4, -2/5, 1, 4, 11
Let -15*z**3/4 + 125*z**2/4 - 45*z - 45 = 0. What is z?
-2/3, 3, 6
Factor 2*y**3/11 - 44*y**2 + 27250*y/11 + 250000/11.
2*(y - 125)**2*(y + 8)/11
Suppose -d**2/2 + 199*d/2 + 615 = 0. Calculate d.
-6, 205
Let 3*x**3 + 649*x**2/3 + 3912*x + 432 = 0. Calculate x.
-36, -1/9
Factor -5*k**3 + 2705*k**2 - 5390*k.
-5*k*(k - 539)*(k - 2)
Factor -5*i**3/2 + 320*i**2 - 625*i/2 - 635.
-5*(i - 127)*(i - 2)*(i + 1)/2
Factor -4*d**4 - 24*d**3 + 48*d**2 + 152*d + 84.
-4*(d - 3)*(d + 1)**2*(d + 7)
Suppose 2*u**4/3 + 2*u**3/3 - 14*u**2/3 - 26*u/3 - 4 = 0. What is u?
-2, -1, 3
Factor 5*g**5 + 90*g**4 + 165*g**3 + 80*g**2.
5*g**2*(g + 1)**2*(g + 16)
Let -v**5 + v**4 + 5*v**3 + 3*v**2 = 0. Calculate v.
-1, 0, 3
Factor -5*d**2 - 210*d - 205.
-5*(d + 1)*(d + 41)
Determine u so that 2*u**2/3 - 24*u + 216 = 0.
18
Let 5*d**3 - 9450*d**2 - 18915*d - 9460 = 0. What is d?
-1, 1892
Determine g so that 2*g**2 - 484*g + 29282 = 0.
121
Determine x, given that 3*x**2 - 366*x = 0.
0, 122
Factor -2*z**5 + 468*z**4 + 942*z**3 + 472*z**2.
-2*z**2*(z - 236)*(z + 1)**2
Factor -3*w**2/4 - 261*w/2 - 22707/4.
-3*(w + 87)**2/4
Factor -2*o**2/7 - 664*o/7 + 666/7.
-2*(o - 1)*(o + 333)/7
Determine j, given that -2*j**2 + 244*j - 7442 = 0.
61
Factor 21*a**2 + 888*a + 252.
3*(a + 42)*(7*a + 2)
Factor -3*l**2 - 1122*l - 104907.
-3*(l + 187)**2
Factor n**3 - 402*n**2.
n**2*(n - 402)
Factor -3*p**4 - 423*p**3 - 19881*p**2 - 311469*p.
-3*p*(p + 47)**3
Factor 108*g**5 - 3564*g**4 + 31140*g**3 - 28804*g**2 + 9344*g - 1024.
4*(g - 16)**2*(3*g - 1)**3
Factor -3*a**3 - 792*a**2 + 1593*a - 798.
-3*(a - 1)**2*(a + 266)
Suppose 4*g**4/3 + 412*g**3/3 + 4620*g**2 + 142100*g/3 - 343000/3 = 0. What is g?
-35, 2
Determine d so that d**5/2 - 11*d**4/2 + 4*d**3 + 124*d**2 - 408*d + 360 = 0.
-5, 2, 6
Solve 2*u**2/9 - 4*u = 0 for u.
0, 18
Solve -2*z**4/5 + 6*z**3 + 2*z**2/5 - 6*z = 0 for z.
-1, 0, 1, 15
Find r, given that 2*r**2/13 + 22*r/13 - 4 = 0.
-13, 2
Factor -75*l**2/2 - 255*l - 867/2.
-3*(5*l + 17)**2/2
Factor 2*k**5/5 + 12*k**4/5 + 2*k**3/5 - 48*k**2/5 + 32*k/5.
2*k*(k - 1)**2*(k + 4)**2/5
Factor 2*g**2/7 - 44*g/7 - 150/7.
2*(g - 25)*(g + 3)/7
Solve 4*w**5 - 52*w**4 + 220*w**3 - 300*w**2 = 0.
0, 3, 5
What is i in -2*i**5 + 10*i**4 - 6*i**3 - 10*i**2 + 8*i = 0?
-1, 0, 1, 4
Suppose b**5 + 5*b**4 - 6*b**3 - 32*b**2 + 32*b = 0. Calculate b.
-4, 0, 1, 2
Determine i, given that -188*i**4 - 5272*i**3 - 5300*i**2 - 216*i = 0.
-27, -1, -2/47, 0
Factor 2*a**3/3 - 194*a**2.
2*a**2*(a - 291)/3
Factor -a**2/6 - 3*a/2.
-a*(a + 9)/6
Solve -5*y**2 - 830*y - 825 = 0.
-165, -1
Find f such that -18*f**4/5 + 68*f**3/5 - 38*f**2/5 - 12*f/5 = 0.
-2/9, 0, 1, 3
Find p such that -12*p**5 - 4*p**4 + 44*p**3 + 36*p**2 - 16*p - 16 = 0.
-1, 2/3, 2
Determine d so that d**2 - 11*d + 10 = 0.
1, 10
Factor -3*n**4 - 438*n**3 - 16419*n**2 - 31536*n - 15552.
-3*(n + 1)**2*(n + 72)**2
Factor -g**3 - 1160*g**2 + 2323*g - 1162.
-(g - 1)**2*(g + 1162)
Factor -2*y**4/13 - 16*y**3/13 - 36*y**2/13 - 32*y/13 - 10/13.
-2*(y + 1)**3*(y + 5)/13
Suppose -15*o**5 + 36*o**4 - 18*o**3 - 12*o**2 + 9*o = 0. Calculate o.
-3/5, 0, 1
Find s, given that 242*s**3/7 + 572*s**2/7 + 184*s/7 + 16/7 = 0.
-2, -2/11
Solve -i**2/6 + 347*i/3 - 120409/6 = 0.
347
Let 2*i**2/3 + 18*i = 0. What is i?
-27, 0
Suppose 12*o**4 + 12*o**3 - 429*o**2 - 432*o - 108 = 0. Calculate o.
-6, -1/2, 6
Solve -6*b**5 + 8*b**4 + 4*b**3 - 8*b**2 + 2*b = 0.
-1, 0, 1/3, 1
Let 2*g**4/21 - 24*g**3/7 - 162*g**2/7 - 36*g = 0. Calculate g.
-3, 0, 42
Factor 4*q**2 - 12572*q + 12568.
4*(q - 3142)*(q - 1)
Factor 2*s**5 - 48*s**4 + 90*s**3 - 44*s**2.
2*s**2*(s - 22)*(s - 1)**2
Factor 2*l**3 + 42*l**2 + 112*l + 72.
2*(l + 1)*(l + 2)*(l + 18)
Factor -4*y**5 - 244*y**4 + 1016*y**3 - 1544*y**2 + 1036*y - 260.
-4*(y - 1)**4*(y + 65)
Suppose -4*v**5 - 12*v**4 - 4*v**3 + 12*v**2 + 8*v = 0. What is v?
-2, -1, 0, 1
Determine c so that 86*c**4/11 - 254*c**3/11 - 356*c**2/11 - 16*c/11 = 0.
-1, -2/43, 0, 4
Suppose -2*b**3/21 + 16*b**2/21 + 58*b/7 - 396/7 = 0. What is b?
-9, 6, 11
Determine t, given that 6*t**5/13 + 74*t**4/13 + 272*t**3/13 + 336*t**2/13 - 32*t/13 - 224/13 = 0.
-7, -2, 2/3
Let f**5 + 9*f**4/2 - 49*f**3 + 121*f**2/2 + 3*f - 20 = 0. Calculate f.
-10, -1/2, 1, 4
Determine a, given that -5*a**5 + 40*a**4 - 90*a**3 + 135*a = 0.
-1, 0, 3
Determine z so that 2*z**2/9 - 68*z/9 - 70/9 = 0.
-1, 35
Factor 16*p**5 - 140*p**4 + 96*p**3 + 2048*p**2 - 5632*p + 3072.
4*(p - 4)**3*(p + 4)*(4*p - 3)
Let -2*o**5 + 34*o**4 - 182*o**3 + 366*o**2 - 216*o = 0. Calculate o.
0, 1, 3, 4, 9
Suppose 3*p**2 + 24*p - 60 = 0. What is p?
-10, 2
Factor 2*t**2/3 + 232*t/3 - 238.
2*(t - 3)*(t + 119)/3
Factor 3*s**3/2 - 859*s**2/2 + 143*s.
s*(s - 286)*(3*s - 1)/2
Factor -r**2 - 788*r - 155236.
-(r + 394)**2
Solve -5*k**4 - 615*k**3 - 610*k**2 = 0.
-122, -1, 0
Factor -3*d**4/7 + 3*d**3 + 9*d**2 - 81*d/7.
-3*d*(d - 9)*(d - 1)*(d + 3)/7
Let -2*d**4 - 4*d**3/7 + 2*d**2 + 4*d/7 = 0. What is d?
-1, -2/7, 0, 1
Find u, given that u**5/2 - 5*u**4 + 8*u**3 + u**2 - 17*u/2 + 4 = 0.
-1, 1, 8
Let -5*c**2/2 + 165*c - 2520 = 0. What is c?
24, 42
Factor -3*o**5 - 3*o**4 + 18*o**3 + 42*o**2 + 33*o + 9.
-3*(o - 3)*(o + 1)**4
Solve a**5/3 + 358*a**4/3 - 8*a**3/3 - 2864*a**2/3 + 16*a/3 + 5728/3 = 0 for a.
-358, -2, 2
Factor -j**3/4 + 3*j**2 - 9*j.
-j*(j - 6)**2/4
Factor 5*m**4 - 25*m**3 + 5*m**2 + 105*m - 90.
5*(m - 3)**2*(m - 1)*(m + 2)
Factor -u**4 + 161*u**3 - 9636*u**2 + 253616*u - 2470336.
-(u - 44)**3*(u - 29)
Determine t, given that 3*t**2 + 3588*t + 3585 = 0.
-1195, -1
Factor 5*g**4 + 65*g**3 - 290*g**2 - 800*g.
5*g*(g - 5)*(g + 2)*(g + 16)
Factor 5*t**2 - 14*t + 49/5.
(5*t - 7)**2/5
Solve -2*z**5/3 + 56*z**4/3 + 184*z**3/3 + 68*z**2/3 - 182*z/3 - 124/3 = 0 for z.
-2, -1, 1, 31
Factor -5*x**2 + 15*x + 50.
-5*(x - 5)*(x + 2)
Factor -2*d**3/7 + 47*d**2/7 - 29*d + 90/7.
-(d - 18)*(d - 5)*(2*d - 1)/7
Suppose -278*o**4 + 4*o**3/9 + 278*o**2 - 4*o/9 = 0. What is o?
-1, 0, 2/1251, 1
Factor 7*d**5/9 + 73*d**4/3 + 62*d**3/9.
d**3*(d + 31)*(7*d + 2)/9
Factor -3*m**2 - 426*m - 15123.
-3*(m + 71)**2
What is x in 5*x**4 - 225*x**3 + 2415*x**2 + 2645*x = 0?
-1, 0, 23
Let 2*x**2 - 9392*x + 9390 = 0. What is x?
1, 4695
Factor u**5 - 540*u**4 + 72900*u**3.
u**3*(u - 270)**2
Suppose -2*q**5 + 12*q**4 - 4*q**3 - 96*q**2 + 198*q - 108 = 0. Calculate q.
-3, 1, 2, 3
Factor z**2/8 + 5*z/2 + 9/2.
(z + 2)*(z + 18)/8
Determine a so that -62*a**3 - 228*a**2 - 208*a = 0.
-2, -52/31, 0
Solve k**2/5 + 429*k/5 + 854/5 = 0 for k.
-427, -2
Factor -3*r**2 + 9465*r.
-3*r*(r - 3155)
Suppose -2*b**5/21 + 94*b**4/7 + 298*b**3/7 - 622*b**2/3 + 1636*b/7 - 576/7 = 0. What is b?
-6, 1, 144
Determine m so that -2*m**4/3 - 106*m**3/3 + 228*m**2 - 1400*m/3 + 944/3 = 0.
-59, 2
Factor l**4/3 - 56*l**3/3 - 115*l**2/3 - 58*l/3.
l*(l - 58)*(l + 1)**