1000*g**2/3 - 500000*g/3 - 250000000/9 = 0. What is g?
-500
Determine j so that j**4 + 65*j**3 + 472*j**2 + 912*j = 0.
-57, -4, 0
Determine k, given that -2*k**4 - 1642*k**3/5 - 17886*k**2 - 318230*k + 266200 = 0.
-55, 4/5
What is g in g**4/4 + 9*g**3/2 + 11*g**2/4 - 51*g/2 = 0?
-17, -3, 0, 2
Solve -5*n**5/2 - n**4 + 60*n**3 + 184*n**2 + 184*n + 48 = 0 for n.
-2, -2/5, 6
Factor 910*r**2/3 - 359*r/3 - 2/3.
(5*r - 2)*(182*r + 1)/3
Solve 10*j**5/19 + 26*j**4/19 - 62*j**3/19 - 10*j**2/19 + 52*j/19 - 16/19 = 0 for j.
-4, -1, 2/5, 1
Factor z**4/2 + 8*z**3 + 45*z**2 + 100*z + 125/2.
(z + 1)*(z + 5)**3/2
Suppose i**5/5 - 2*i**4/5 - 2*i**3 + 4*i**2 + 9*i/5 - 18/5 = 0. What is i?
-3, -1, 1, 2, 3
Factor -g**3/4 - 405*g**2/4 + 102*g + 203.
-(g - 2)*(g + 1)*(g + 406)/4
Find b such that 4*b**3 + 44*b**2 - 296*b + 384 = 0.
-16, 2, 3
Factor -5776*i**2 + 912*i - 36.
-4*(38*i - 3)**2
Let -68*x**5 - 648*x**4 - 2256*x**3 - 3560*x**2 - 2604*x - 720 = 0. Calculate x.
-60/17, -3, -1
Factor -2*t**3 + 18*t**2 - 46*t + 30.
-2*(t - 5)*(t - 3)*(t - 1)
Let 14*q**4 + 216*q**3 + 564*q**2 + 536*q + 174 = 0. Calculate q.
-87/7, -1
Factor -m**4/4 + 51*m**3/2 + 420*m**2 + 4325*m/2 + 14625/4.
-(m - 117)*(m + 5)**3/4
Find w such that -14*w**5 + 86*w**4 - 54*w**3 - 358*w**2 + 388*w - 48 = 0.
-2, 1/7, 1, 3, 4
Factor 3*k**2 + 849*k.
3*k*(k + 283)
Factor -13*i**5/2 - 15*i**4/2 - i**3.
-i**3*(i + 1)*(13*i + 2)/2
Determine t so that 2*t**5 + 36*t**4 - 264*t**3 + 560*t**2 - 384*t = 0.
-24, 0, 2
Factor -3*q**2 + 46956*q - 183738828.
-3*(q - 7826)**2
Suppose 11*d**2/2 + 4325*d/2 + 393 = 0. Calculate d.
-393, -2/11
Factor -2*y**3/5 - 94*y**2/5 - 1056*y/5 + 1152/5.
-2*(y - 1)*(y + 24)**2/5
Suppose -122*m**4/3 - 1216*m**3/3 - 3010*m**2/3 + 100*m/3 = 0. Calculate m.
-5, 0, 2/61
Factor -y**2 + 4.
-(y - 2)*(y + 2)
Factor m**4 + 60*m**3 + 432*m**2 + 832*m.
m*(m + 4)**2*(m + 52)
Determine y, given that y**4/8 + 5*y**3/4 - 11*y**2 + 16*y = 0.
-16, 0, 2, 4
Determine y, given that -y**3/11 + 48*y**2/11 - 93*y/11 + 46/11 = 0.
1, 46
Factor -4*r**4 - 4*r**3 + 12*r**2 + 4*r - 8.
-4*(r - 1)**2*(r + 1)*(r + 2)
What is z in z**5 + 9*z**4 - 34*z**3 + 24*z**2 = 0?
-12, 0, 1, 2
Determine x so that -4*x**5 - 4*x**4 + 12*x**3 + 20*x**2 + 8*x = 0.
-1, 0, 2
Determine d so that d**4/4 + 25*d**3/4 - 85*d**2/4 - 25*d/4 + 21 = 0.
-28, -1, 1, 3
Suppose 5*p**2 - 500*p - 1020 = 0. Calculate p.
-2, 102
Factor -4*m**3/7 - 188*m**2/7 - 352*m - 5808/7.
-4*(m + 3)*(m + 22)**2/7
What is o in 7*o**2 - 704*o + 123904/7 = 0?
352/7
Determine z so that -z**4/4 + z**3/2 + z**2 - 2*z = 0.
-2, 0, 2
Find g, given that -3*g**5/5 - 87*g**4/5 + 171*g**3/5 + 11259*g**2/5 - 58968*g/5 + 47628/5 = 0.
-21, 1, 6
Determine y so that -y**5 - 4*y**4 - y**3 + 14*y**2 + 20*y + 8 = 0.
-2, -1, 2
Factor -j**2 - 92*j - 91.
-(j + 1)*(j + 91)
Suppose i**2/2 + 19*i/2 + 44 = 0. What is i?
-11, -8
Factor 6*w**4 - 41*w**3 + 53*w**2 + 10*w.
w*(w - 5)*(w - 2)*(6*w + 1)
Solve 4*d**2 + 54*d = 0 for d.
-27/2, 0
Let -6*d**3 + 18*d**2 + 68*d/3 + 16/3 = 0. What is d?
-2/3, -1/3, 4
Factor c**2/2 + 46*c - 93/2.
(c - 1)*(c + 93)/2
Factor 3*u**2 - 3*u - 330.
3*(u - 11)*(u + 10)
Solve 4*z**5/7 + 48*z**4/7 - 460*z**3/7 + 184*z**2 - 1488*z/7 + 608/7 = 0 for z.
-19, 1, 2
Factor -3*w**2 + 48.
-3*(w - 4)*(w + 4)
Suppose -4*g**4 - 24*g**3 + 36*g**2 + 56*g = 0. What is g?
-7, -1, 0, 2
Find z such that -50176*z**2 - 8064*z - 324 = 0.
-9/112
Factor -3*m**3 + 6387*m**2 - 3396285*m - 3402675.
-3*(m - 1065)**2*(m + 1)
Factor -3*d**3 - 525*d**2 + 528*d.
-3*d*(d - 1)*(d + 176)
Factor 5*p**5 - 5*p**4 - 30*p**3 - 10*p**2 + 25*p + 15.
5*(p - 3)*(p - 1)*(p + 1)**3
Let 2*p**2/9 - 496*p/9 - 502/3 = 0. Calculate p.
-3, 251
Factor 5*b**5 + 5*b**4.
5*b**4*(b + 1)
Determine u, given that u**4/7 + u**3/7 - u**2/7 - u/7 = 0.
-1, 0, 1
Let 2*j**3/9 - 2*j**2/9 - 112*j/9 - 32 = 0. What is j?
-4, 9
Suppose -5*d**3 + 25*d**2 = 0. What is d?
0, 5
Factor 3*q**4 - 1665*q**3 + 4977*q**2 - 4971*q + 1656.
3*(q - 552)*(q - 1)**3
Find b such that 2*b**3/21 + 8*b**2/3 + 442*b/21 + 676/21 = 0.
-13, -2
Let -3*b**4/2 - 39*b**3/2 - 90*b**2 - 168*b - 96 = 0. What is b?
-4, -1
Determine d, given that -d**2/7 - d/7 + 30/7 = 0.
-6, 5
Factor -2*p**4/9 + 4*p**3/3 - 2*p**2.
-2*p**2*(p - 3)**2/9
Solve 844*o**2 + 856*o + 12 = 0.
-1, -3/211
Suppose -4*k**4 - 32*k**3 - 88*k**2 - 96*k - 36 = 0. What is k?
-3, -1
Factor 50*l**3/7 - 440*l**2/7 + 328*l/7 - 64/7.
2*(l - 8)*(5*l - 2)**2/7
Factor -4*f**3 + 1476*f**2 - 2940*f + 1468.
-4*(f - 367)*(f - 1)**2
Factor 2*w**4 - 110*w**3 + 108*w**2.
2*w**2*(w - 54)*(w - 1)
Factor 35*h**2 - 185*h + 50.
5*(h - 5)*(7*h - 2)
Factor k**5/9 - k**4 + 2*k**3/9 + 28*k**2/3 + 8*k.
k*(k - 6)**2*(k + 1)*(k + 2)/9
Determine z, given that -5*z**5/2 + 9*z**4 + 63*z**3/2 - 154*z**2 + 114*z + 72 = 0.
-4, -2/5, 2, 3
Factor 3*u**4/2 + 6*u**3 - 63*u**2/2.
3*u**2*(u - 3)*(u + 7)/2
Let k**2 - 92*k - 1365 = 0. Calculate k.
-13, 105
Factor 4*l**5 + 32*l**4 + 84*l**3 + 88*l**2 + 32*l.
4*l*(l + 1)**2*(l + 2)*(l + 4)
Factor 4*t**3/3 - 664*t**2/3 - 452*t + 672.
4*(t - 168)*(t - 1)*(t + 3)/3
Solve 3*s**3 + 390*s**2 - 1197*s = 0.
-133, 0, 3
Suppose -845*w**3/4 - 5265*w**2/4 - 10395*w/4 - 6615/4 = 0. What is w?
-3, -21/13
Factor -3*o**4 + 51*o**3 - 315*o**2 + 825*o - 750.
-3*(o - 5)**3*(o - 2)
Suppose -4*j**5/5 - 12*j**4 - 8*j**3/5 + 656*j**2/5 - 288*j/5 - 896/5 = 0. Calculate j.
-14, -4, -1, 2
Factor -2*o**4/3 - 128*o**3/3 + 1480*o**2/3.
-2*o**2*(o - 10)*(o + 74)/3
Suppose 1556068*d**5 - 23277072*d**4 - 958344*d**3 - 13136*d**2 - 60*d = 0. Calculate d.
-1/73, 0, 15
Factor r**4/2 - 2*r**3 - 2*r**2 + 8*r.
r*(r - 4)*(r - 2)*(r + 2)/2
Determine s, given that -5*s**3 + 20*s**2 + 35*s - 50 = 0.
-2, 1, 5
Factor k**2 + 54*k - 171.
(k - 3)*(k + 57)
Factor 2*t**3 + 1420*t**2 + 4246*t + 2828.
2*(t + 1)*(t + 2)*(t + 707)
Suppose -4*m**5/3 - 68*m**4/3 - 268*m**3/3 + 212*m**2/3 + 976*m/3 + 560/3 = 0. Calculate m.
-10, -7, -1, 2
Find s such that 4*s**2 - 536*s = 0.
0, 134
Suppose -2*k**3/19 + 14*k**2/19 - 8*k/19 - 24/19 = 0. Calculate k.
-1, 2, 6
Factor 5*a**3 + 1515*a**2 + 115515*a + 114005.
5*(a + 1)*(a + 151)**2
Determine m, given that 3*m**2/5 - 21*m/5 = 0.
0, 7
Suppose 4*z**4 + 1572*z**3 - 6332*z**2 + 7932*z - 3176 = 0. What is z?
-397, 1, 2
Determine u, given that 2*u**5 + 18*u**4 - 156*u**3 + 340*u**2 - 294*u + 90 = 0.
-15, 1, 3
Factor r**4 + 18*r**3 - 60*r**2 + 62*r - 21.
(r - 1)**3*(r + 21)
Let -3*k**2 - 3636*k - 1101708 = 0. Calculate k.
-606
Suppose -80*z**4 - 26080*z**3 - 3188280*z**2 - 173229880*z - 3529558805 = 0. What is z?
-163/2
Determine c, given that 16*c**5 + 184*c**4 + 249*c**3 + 91*c**2 + 10*c = 0.
-10, -1, -1/4, 0
Suppose -r**4 + 5*r**3 + 34*r**2 - 56*r - 192 = 0. What is r?
-4, -2, 3, 8
Factor 2*v**2/11 + 348*v + 166518.
2*(v + 957)**2/11
Suppose -v**3 - 99*v**2 + v + 99 = 0. Calculate v.
-99, -1, 1
Factor 2*r**2/5 - 394*r/5 + 156.
2*(r - 195)*(r - 2)/5
Determine z, given that -z**3 - z**2 + 2*z = 0.
-2, 0, 1
Factor -k**2/9 + 206*k/9 + 280/3.
-(k - 210)*(k + 4)/9
Factor x**3/4 + 795*x**2/4 + 1587*x/4 + 793/4.
(x + 1)**2*(x + 793)/4
Let -4*o**2/3 - 268*o/9 + 184/9 = 0. Calculate o.
-23, 2/3
Find b, given that 53*b**3/3 + 478*b**2/3 + 433*b/3 + 8/3 = 0.
-8, -1, -1/53
Suppose 140*o**2/3 - 208*o/9 + 4/3 = 0. Calculate o.
1/15, 3/7
Determine g so that -2*g**2/13 - 300*g/13 - 5418/13 = 0.
-129, -21
Let -4*z**5 + 16*z**4 + 24*z**3 - 16*z**2 - 20*z = 0. What is z?
-1, 0, 1, 5
Find p, given that 5*p**5 + 20*p**4 + 10*p**3 - 20*p**2 - 15*p = 0.
-3, -1, 0, 1
Determine n, given that -n**4/8 + 4*n**3 + 33*n**2/8 = 0.
-1, 0, 33
Factor -m**4/6 - 2*m**3 - 23*m**2/3 - 10*m - 25/6.
-(m + 1)**2*(m + 5)**2/6
Factor 24*k**3 + 189*k**2 - 240*k + 27.
3*(k - 1)*(k + 9)*(8*k - 1)
What is v in -2*v**3/7 + 30*v**2 - 5406*v/7 - 5618/7 = 0?
-1, 53
Factor -n**3/4 + 21*n**2/2 + 45*n + 46.
-(n - 46)*(n + 2)**2/4
Let x**3/2 + 48*x**2 = 0. Calculate x.
-96, 0
Let -3*p**5 - 60*p**4 - 339*p**3 - 210*p**2 + 1692*p - 1080 = 0. What is p?
-10, -6, 1
Suppose w**5/2 + 9*w**4/2 - 23*w**3/2 - 9*w**2/2 + 11*w = 0. What is w?
-11, -1, 0, 1, 2
Factor 3*z**5 + 6*z**4 - 81*z**3 + 324*z.
3*z*(z - 3)**2*(z + 2)*(z + 6)
What is z in 4*z**3/3 + 4*z**2 - 16*z/3 - 16 = 0?
-3, -2, 2
Find b, given that -2*b**3/11 - 18*b**2/11 - 40*b/11 - 24/11 = 0.
-6, -2, -1
