+ 247*o/3 = 0?
-19, -13, -1, 0, 1
Factor 5*n**4 - 85*n**3 + 260*n**2.
5*n**2*(n - 13)*(n - 4)
Suppose -75*t**5 - 15*t**4 + 201*t**3 - 129*t**2 + 18*t = 0. What is t?
-2, 0, 1/5, 3/5, 1
Factor -5*z**3/2 + 70*z**2.
-5*z**2*(z - 28)/2
Factor -3*t**3 - 906*t**2 - 3588*t - 3576.
-3*(t + 2)**2*(t + 298)
Factor -3*s**2/5 + 492*s/5 - 20172/5.
-3*(s - 82)**2/5
Let 32*b**4/13 + 1168*b**3/13 + 9746*b**2/13 - 16644*b/13 + 6498/13 = 0. What is b?
-19, 3/4
Determine l so that 8*l**4/5 + 94*l**3/5 - 48*l**2 + 166*l/5 - 28/5 = 0.
-14, 1/4, 1
Factor -3*q**2/4 + 201*q/4 - 465/2.
-3*(q - 62)*(q - 5)/4
Let 2*x**5/11 + 2*x**4 + 32*x**3/11 - 168*x**2/11 = 0. What is x?
-7, -6, 0, 2
Factor c**2 + 976*c + 238144.
(c + 488)**2
Factor 2*s**5/5 + 4*s**4/5 - 4*s**2/5 - 2*s/5.
2*s*(s - 1)*(s + 1)**3/5
What is r in 3*r**3/5 - 213*r**2/5 - 3*r/5 + 213/5 = 0?
-1, 1, 71
Determine v, given that 6*v**5/5 + 34*v**4/5 - 22*v**3/5 - 58*v**2/5 + 16*v/5 + 24/5 = 0.
-6, -1, -2/3, 1
Find d, given that -15*d**2/2 + 6036*d + 2415/2 = 0.
-1/5, 805
Factor -343*g**4/3 + 637*g**3/3 - 126*g**2 + 92*g/3 - 8/3.
-(g - 1)*(7*g - 2)**3/3
Factor -3*q**3/7 + 141*q**2/7 + 3*q/7 - 141/7.
-3*(q - 47)*(q - 1)*(q + 1)/7
What is x in x**4/6 - 47*x**3/3 - 16*x**2 + 47*x/3 + 95/6 = 0?
-1, 1, 95
Solve f**5/3 - 5*f**4 + 44*f**3/3 + 124*f**2/3 - 64*f - 256/3 = 0.
-2, -1, 2, 8
Determine n, given that n**4/9 - 334*n**3/9 - 112*n**2/3 + 334*n/9 + 335/9 = 0.
-1, 1, 335
Factor -2*r**2/13 - 88*r/13.
-2*r*(r + 44)/13
Factor -8*h**3/3 - 46*h**2/3 - 20*h + 6.
-2*(h + 3)**2*(4*h - 1)/3
Factor -r**3 + 38*r**2 - 320*r - 800.
-(r - 20)**2*(r + 2)
What is l in 4*l**2 - 476*l + 2280 = 0?
5, 114
Solve 3*d**5/7 - 6*d**4 + 72*d**3/7 = 0.
0, 2, 12
Solve -l**2/4 - 12*l - 144 = 0.
-24
Find m such that 2*m**4/7 - 62*m**3/7 + 24*m**2 + 8*m/7 - 32 = 0.
-1, 2, 28
Solve -2*m**3/19 + 24*m**2/19 + 62*m/19 - 84/19 = 0 for m.
-3, 1, 14
Factor -100*i**2 + 16520*i - 682276.
-4*(5*i - 413)**2
Suppose -3*d**3/5 + d**2/5 + 3*d/5 - 1/5 = 0. What is d?
-1, 1/3, 1
Factor -3*k**2 + 27*k + 30.
-3*(k - 10)*(k + 1)
Let 9*l**3/7 - 456*l**2/7 + 2740*l/7 - 4400/7 = 0. Calculate l.
10/3, 44
Factor 2*h**3 + 296*h**2.
2*h**2*(h + 148)
Find x, given that -6*x**4/7 + 18*x**3/7 - 6*x**2/7 - 18*x/7 + 12/7 = 0.
-1, 1, 2
Let 8*m**2 - 205*m - 78 = 0. Calculate m.
-3/8, 26
Determine w so that -w**4 - 6*w**3 - 11*w**2 - 6*w = 0.
-3, -2, -1, 0
Determine p, given that -p**5 - 14*p**4 - 57*p**3 - 76*p**2 - 32*p = 0.
-8, -4, -1, 0
Determine q so that q**2/3 + 15*q + 200/3 = 0.
-40, -5
Find j, given that -5*j**4 - 165*j**3 - 635*j**2 + 1785*j - 980 = 0.
-28, -7, 1
Solve f**3/4 - 3*f**2/4 - 25*f/4 - 21/4 = 0.
-3, -1, 7
Factor -2*z**3 - 5498*z**2 + 11002*z - 5502.
-2*(z - 1)**2*(z + 2751)
Find j such that -7*j**4/2 - 104*j**3 + 30*j**2 = 0.
-30, 0, 2/7
Factor 4*j**3 + 64*j**2 - 156*j - 216.
4*(j - 3)*(j + 1)*(j + 18)
Factor v**4/4 - 26*v**3 + 153*v**2/2 - 76*v + 101/4.
(v - 101)*(v - 1)**3/4
Factor -2*d**3/5 - 8*d**2/5 - 8*d/5.
-2*d*(d + 2)**2/5
Factor 2*d**3/7 + 88*d**2/7 - 184*d/7.
2*d*(d - 2)*(d + 46)/7
Determine x so that x**3/3 - 247*x**2/3 - 497*x/3 - 83 = 0.
-1, 249
Suppose p**2/5 - 78*p/5 + 432/5 = 0. Calculate p.
6, 72
Suppose -2*m**5/9 + 10*m**4/9 + 164*m**3/9 + 524*m**2/9 + 202*m/3 + 26 = 0. Calculate m.
-3, -1, 13
Solve -3*h**3 + 20583*h**2 + 41175*h + 20589 = 0.
-1, 6863
Let -u**3 + 271*u**2 + 272*u = 0. Calculate u.
-1, 0, 272
Factor p**4 + 33*p**3 - 144*p**2 + 148*p.
p*(p - 2)**2*(p + 37)
Solve r**2 + 20*r - 21 = 0.
-21, 1
Factor -5*t**3 + 20*t**2 - 5*t - 30.
-5*(t - 3)*(t - 2)*(t + 1)
Factor -3*u**2 - 300*u - 297.
-3*(u + 1)*(u + 99)
Factor -28*g**3 - 5212*g**2 + 9752*g - 4512.
-4*(g - 1)*(g + 188)*(7*g - 6)
Factor -42*w**3 - 44*w**2/3 + 16*w/3.
-2*w*(7*w + 4)*(9*w - 2)/3
Determine f, given that -2*f**5 + 180*f**4 - 1034*f**3 + 2208*f**2 - 2024*f + 672 = 0.
1, 2, 84
Let 16*j**3/7 - 3804*j**2/7 - 8632*j/7 - 1920/7 = 0. What is j?
-2, -1/4, 240
Find k such that 5*k**5 + 25*k**4 + 35*k**3 - 5*k**2 - 40*k - 20 = 0.
-2, -1, 1
Factor v**3/5 - 3069*v**2/5 + 470631*v + 471245.
(v - 1535)**2*(v + 1)/5
Determine b so that 3*b**4 - 15*b**3 + 24*b**2 - 12*b = 0.
0, 1, 2
Solve 3*q**5/7 - 9*q**3/7 + 6*q**2/7 = 0 for q.
-2, 0, 1
Factor -c**4/3 - c**3/6 + 5*c**2/6 - c/3.
-c*(c - 1)*(c + 2)*(2*c - 1)/6
Solve 3*t**5 - 27*t**4 + 18*t**3 + 48*t**2 = 0.
-1, 0, 2, 8
Suppose -3*t**5 - 15*t**4 - 9*t**3 + 39*t**2 + 24*t - 36 = 0. What is t?
-3, -2, 1
Factor -5*y**2 + 2950*y - 5880.
-5*(y - 588)*(y - 2)
Solve -2*k**3 + 346*k**2 - 19822*k + 376406 = 0 for k.
53, 67
Factor 3*b**4/4 + 159*b**3/4.
3*b**3*(b + 53)/4
Factor p**5/2 - 21*p**4/2 + 81*p**3 - 270*p**2 + 324*p.
p*(p - 6)**3*(p - 3)/2
Let 3*w**2/4 - w/2 - 1/4 = 0. Calculate w.
-1/3, 1
Factor -w**3/3 + 26*w**2 - 676*w + 17576/3.
-(w - 26)**3/3
Determine d so that d**4/4 + 41*d**3/2 + 159*d**2/4 - 41*d/2 - 40 = 0.
-80, -2, -1, 1
Factor 2*z**4 - 254*z**3 + 7674*z**2 + 24830*z + 16900.
2*(z - 65)**2*(z + 1)*(z + 2)
What is z in z**5/11 + 159*z**4/11 + 5912*z**3/11 - 32312*z**2/11 + 53136*z/11 - 26896/11 = 0?
-82, 1, 2
Suppose t**5/2 + 4*t**4 + 21*t**3/2 + 11*t**2 + 4*t = 0. What is t?
-4, -2, -1, 0
Determine v, given that v**2 - 84*v + 923 = 0.
13, 71
Suppose 3*p**3 + 33*p**2 + 105*p + 75 = 0. Calculate p.
-5, -1
Suppose 5*s**4 - 45*s**3 - 5*s**2 + 45*s = 0. Calculate s.
-1, 0, 1, 9
Suppose -3*c**3/2 + 9*c**2 + 108*c = 0. What is c?
-6, 0, 12
Find u, given that 4*u**4 - 216*u**3 + 420*u**2 - 208*u = 0.
0, 1, 52
Factor -10*s**5/21 - 188*s**4/21 + 38*s**3/21.
-2*s**3*(s + 19)*(5*s - 1)/21
Factor j**4/3 + 109*j**3/3 + 895*j**2 - 5187*j + 6498.
(j - 3)*(j - 2)*(j + 57)**2/3
Suppose -1086*b**3/11 + 4348*b**2/11 - 4360*b/11 + 16/11 = 0. What is b?
2/543, 2
Factor -15*b**2 - 21*b - 6.
-3*(b + 1)*(5*b + 2)
Determine k so that 3*k**3/4 - 15*k**2/2 + 12*k = 0.
0, 2, 8
Suppose -n**2/3 - 23*n/3 - 34 = 0. Calculate n.
-17, -6
Factor 5*j**4 + 5*j**3 - 15*j**2 - 25*j - 10.
5*(j - 2)*(j + 1)**3
Suppose -9*d**5 - 3*d**4 + 27*d**3 + 27*d**2 + 6*d = 0. What is d?
-1, -1/3, 0, 2
Suppose -2*n**2/17 + 4292*n/17 + 8592/17 = 0. What is n?
-2, 2148
Factor -5*y**2 + 1040*y + 2100.
-5*(y - 210)*(y + 2)
Find h such that -4*h**3 + 572*h**2 - 1132*h + 564 = 0.
1, 141
Factor 2*i**5/7 + 368*i**4/7 + 2864*i**3/7 + 1216*i**2 + 11296*i/7 + 5632/7.
2*(i + 2)**4*(i + 176)/7
Determine c so that -5*c**2 + 300*c - 4500 = 0.
30
Factor -n**3 + 16*n**2 - 77*n + 98.
-(n - 7)**2*(n - 2)
What is w in 4*w**4 + 112*w**3 + 172*w**2 - 9360*w + 9072 = 0?
-18, 1, 7
Factor 4*w**4 - 20*w**3 + 24*w**2.
4*w**2*(w - 3)*(w - 2)
Let -2*s**4/11 - 8*s**3/11 + 26*s**2/11 + 56*s/11 - 120/11 = 0. Calculate s.
-5, -3, 2
Determine p so that -p**2 - 78*p - 77 = 0.
-77, -1
Suppose 5*s**3 - 70*s**2 - 75*s = 0. What is s?
-1, 0, 15
Suppose -l**5/11 - 3*l**4/11 + 5*l**3/11 + 27*l**2/11 + 32*l/11 + 12/11 = 0. What is l?
-2, -1, 3
Solve s**5/2 + 7*s**4 + 26*s**3 + 13*s**2 - 53*s/2 - 20 = 0 for s.
-8, -5, -1, 1
Determine x, given that -x**4/2 + 3*x**3/2 + 57*x**2/2 - 227*x/2 + 84 = 0.
-8, 1, 3, 7
Factor 2*m**2/7 + 32*m + 222/7.
2*(m + 1)*(m + 111)/7
What is j in 162*j**5/5 - 954*j**4/5 + 280*j**3 - 736*j**2/5 + 128*j/5 = 0?
0, 4/9, 1, 4
Factor 5*w**4 + 270*w**3 + 1025*w**2 + 1260*w + 500.
5*(w + 1)**2*(w + 2)*(w + 50)
Suppose -4*f**2/5 - 48*f/5 + 176 = 0. What is f?
-22, 10
Suppose 3*q**3 + 45*q**2 + 162*q + 120 = 0. Calculate q.
-10, -4, -1
Factor 2*d**3 - 44*d**2 - 46*d.
2*d*(d - 23)*(d + 1)
Find q such that 4*q**5/9 + 122*q**4/9 + 568*q**3/9 + 422*q**2/9 - 716*q/9 - 400/9 = 0.
-25, -4, -2, -1/2, 1
Factor 4*s**3 - 240*s**2 + 468*s - 232.
4*(s - 58)*(s - 1)**2
Find l such that 28*l**3/3 - 40*l**2/3 - 4*l/3 + 16/3 = 0.
-4/7, 1
Suppose o**5 + 7*o**4 + 19*o**3 + 25*o**2 + 16*o + 4 = 0. What is o?
-2, -1
Determine y, given that 2*y**3 + 26*y**2 - 104*y - 128 = 0.
-16, -1, 4
Factor -2*w**3 + 18*w**2 - 54*w + 54.
-2*(w - 3)**3
Factor 2*d**2/11 - 2544*d/11 + 808992/11.
2*(d - 636)**2/11
Factor -9*m**3 + 1892*m**2 + 1479*m - 422.
-(m - 211)*(m + 1)*(9*m - 2)
Factor 4*v**4 + 32*v**3 + 52*v**2 + 24*v.
4*v*(v + 1)**2*(v + 6)
Suppose 6*c**2/11 + 800*c/11 - 536/11 = 0. What is c?
-134, 2/3
Factor 2*k**3/17 + 60*k**2/17 - 8*k/17 - 240/17.
2*(k - 2)*(k + 2)*(k + 30)/17
Factor -18*x**2/11 - 32*x/11 + 8/11.
-2*(x +