0. Calculate g.
5, 6
Find n such that 2*n**2 - 8*n - 42 = 0.
-3, 7
What is m in 3*m**2/7 + 102*m/7 + 192/7 = 0?
-32, -2
Solve 10*u**3/7 + 16*u**2/7 - 6*u = 0 for u.
-3, 0, 7/5
What is y in -y**4/6 - 2*y**3 - 23*y**2/3 - 10*y - 25/6 = 0?
-5, -1
Find s, given that -25*s**2 + 45*s + 70 = 0.
-1, 14/5
Solve -3*r**4 - 1017*r**3 - 84645*r**2 + 263169*r = 0 for r.
-171, 0, 3
Solve -z**4 + 35*z**3 - 321*z**2 + 221*z + 578 = 0.
-1, 2, 17
Suppose -i**5 - 27*i**4/4 - 49*i**3/4 - 9*i**2/2 + 2*i = 0. What is i?
-4, -2, -1, 0, 1/4
Factor -s**2/3 + 1376*s/3 - 473344/3.
-(s - 688)**2/3
Suppose f**5/5 + 369*f**4/5 + 33482*f**3/5 - 103044*f**2/5 + 69192*f/5 = 0. What is f?
-186, 0, 1, 2
Determine w so that -16*w**3 + 28*w**2 + 56*w + 12 = 0.
-1, -1/4, 3
Factor 5*c**2 - 670*c - 675.
5*(c - 135)*(c + 1)
Determine p, given that -3*p**4 + 18*p**3 + 3*p**2 - 18*p = 0.
-1, 0, 1, 6
Factor -4*a**3 - 4*a**2 + 56*a + 96.
-4*(a - 4)*(a + 2)*(a + 3)
Factor 3*d**2 + 33*d + 54.
3*(d + 2)*(d + 9)
Factor s**5 - 4*s**4 + 16*s**2 - 16*s.
s*(s - 2)**3*(s + 2)
Suppose 4*s**2 - 4316*s - 4320 = 0. What is s?
-1, 1080
Let -144*r**4 + 4224*r**3 + 7532*r**2 - 2860*r + 248 = 0. Calculate r.
-2, 1/6, 31
Determine f, given that -f**3 + 137*f**2 - 3120*f - 115596 = 0.
-19, 78
Factor 2*i**4/11 + 448*i**3/11 + 25088*i**2/11.
2*i**2*(i + 112)**2/11
Determine m so that 4*m**3/5 + 4*m**2 - 48*m/5 - 144/5 = 0.
-6, -2, 3
Find s such that s**2/3 + s/3 - 114 = 0.
-19, 18
Factor 5408*o**2 + 624*o + 18.
2*(52*o + 3)**2
Factor -2*o**2/7 + 632*o/7 - 49928/7.
-2*(o - 158)**2/7
Suppose 2*g**5 + 4*g**4 - 6*g**3 - 16*g**2 - 8*g = 0. Calculate g.
-2, -1, 0, 2
Let -j**3/2 - 13*j**2/2 + 2*j + 26 = 0. What is j?
-13, -2, 2
Factor -5*x**4 + 10*x**3 + 60*x**2 - 200*x + 160.
-5*(x - 2)**3*(x + 4)
Suppose 2*g**2/11 + 32*g/11 = 0. What is g?
-16, 0
Solve 160*y**4 + 190*y**3 - 315*y**2 - 85*y + 50 = 0 for y.
-2, -1/2, 5/16, 1
Factor 6*h**4/11 - 134*h**3/11 + 70*h**2 - 22*h.
2*h*(h - 11)**2*(3*h - 1)/11
Find m such that -12*m**5 - 868*m**4 - 3552*m**3 - 1088*m**2 = 0.
-68, -4, -1/3, 0
Suppose 4*w**3 - 28*w - 24 = 0. Calculate w.
-2, -1, 3
Factor -2*m**3/9 - 6*m**2.
-2*m**2*(m + 27)/9
Suppose -g**5/4 + 20*g**4 + g**3/4 - 20*g**2 = 0. What is g?
-1, 0, 1, 80
Let -r**5/2 + 7*r**4/2 - 8*r**3 + 6*r**2 = 0. Calculate r.
0, 2, 3
Let 3*v**2 - 168*v = 0. Calculate v.
0, 56
Factor -u**4 + 76*u**3 - 75*u**2.
-u**2*(u - 75)*(u - 1)
Determine p so that 3*p**4 + 12*p**3 - 15*p**2 = 0.
-5, 0, 1
Find x such that -2*x**5 - 314*x**4/3 + 886*x**3/3 + 110*x**2 = 0.
-55, -1/3, 0, 3
Factor 5*h**4 - 90*h**3 - 15*h**2 + 280*h - 180.
5*(h - 18)*(h - 1)**2*(h + 2)
Find m, given that 2*m**5/3 - 8*m**4 - 2*m**3 + 76*m**2/3 - 16*m = 0.
-2, 0, 1, 12
Factor 3*o**2/5 + 189*o/5 - 192/5.
3*(o - 1)*(o + 64)/5
Factor 5*i**4 - 6*i**3 - 27*i**2 - 16*i.
i*(i + 1)**2*(5*i - 16)
Factor -6*b**5 + 14*b**4 - 6*b**3 - 6*b**2 + 4*b.
-2*b*(b - 1)**3*(3*b + 2)
Suppose 2*g**5 - 9*g**4 + 7*g**3 + 6*g**2 = 0. Calculate g.
-1/2, 0, 2, 3
Factor 5*f**3/2 + 405*f**2/2 + 3780*f - 13230.
5*(f - 3)*(f + 42)**2/2
Factor -4*i**4/3 + 4*i**3/3 + 32*i**2/3 - 16*i.
-4*i*(i - 2)**2*(i + 3)/3
Factor -5*h**2 + 2450*h - 300125.
-5*(h - 245)**2
Determine w, given that -w**2 + 5*w = 0.
0, 5
Determine c, given that -5*c**3 + 45*c**2 + 285*c - 325 = 0.
-5, 1, 13
Factor -3*u**2 - 21*u + 1350.
-3*(u - 18)*(u + 25)
Factor -4*d**2.
-4*d**2
Factor 2*u**3/3 + 106*u**2/3 + 1550*u/3 + 1250.
2*(u + 3)*(u + 25)**2/3
Factor 3*g**5 - 198*g**4 + 3267*g**3.
3*g**3*(g - 33)**2
Solve 2*i**2 - 28*i - 960 = 0.
-16, 30
What is w in -w**3/5 + 46*w**2/5 - 141*w + 720 = 0?
15, 16
Factor 2*d**2 - 10*d - 28.
2*(d - 7)*(d + 2)
Factor 3*v**2 + 15*v + 12.
3*(v + 1)*(v + 4)
Factor 81*s**5 - 450*s**4 + 193*s**3 + 156*s**2 + 20*s.
s*(s - 5)*(s - 1)*(9*s + 2)**2
Factor -3*w**4 - 27*w**3 - 42*w**2.
-3*w**2*(w + 2)*(w + 7)
What is z in z**3/6 + 11*z**2/3 + 20*z/3 = 0?
-20, -2, 0
Suppose -12*x**4 + 64*x**3 + 124*x**2 - 256*x - 304 = 0. What is x?
-2, -1, 2, 19/3
Let -18*a**4 - 14*a**3 + 22*a**2 + 14*a - 4 = 0. Calculate a.
-1, 2/9, 1
Suppose -4*p**4 + 468*p**3 - 18252*p**2 + 237276*p = 0. Calculate p.
0, 39
Find k, given that 3*k**4 + 9*k**3 - 48*k**2 + 36*k = 0.
-6, 0, 1, 2
Factor -6*i**3 + 26*i**2 - 16*i - 24.
-2*(i - 3)*(i - 2)*(3*i + 2)
Factor -3*h**4/5 + 9*h**3/5 - 12*h/5.
-3*h*(h - 2)**2*(h + 1)/5
Factor -2*x**5 - 14*x**4 + 60*x**3 + 136*x**2 - 656*x + 576.
-2*(x - 2)**3*(x + 4)*(x + 9)
Suppose -12*c**2 - 300*c - 1875 = 0. Calculate c.
-25/2
Factor -4*c**3/5 - 36*c**2 + 4*c/5 + 36.
-4*(c - 1)*(c + 1)*(c + 45)/5
Find z such that 2*z**3 + 4*z**2 - 26*z + 20 = 0.
-5, 1, 2
Find o such that -o**2 - 217*o/3 - 24 = 0.
-72, -1/3
Suppose 3*o**4 - 60*o**3 + 237*o**2 - 180*o = 0. Calculate o.
0, 1, 4, 15
Factor 4*h**3 - 420*h**2 + 828*h - 412.
4*(h - 103)*(h - 1)**2
Factor 5*h**2 + 380*h - 12000.
5*(h - 24)*(h + 100)
Factor -3*j**4/4 + 159*j**3/4 - 309*j**2/4 + 153*j/4.
-3*j*(j - 51)*(j - 1)**2/4
Factor d**4/2 + d**3/2 - 6*d**2 + 2*d + 8.
(d - 2)**2*(d + 1)*(d + 4)/2
Solve -i**4 - 4*i**3 - 5*i**2 - 2*i = 0 for i.
-2, -1, 0
Determine r, given that 2*r**2 + 548*r + 2160 = 0.
-270, -4
Let -3*q**3/4 - 37*q**2/4 + 69*q/2 = 0. What is q?
-46/3, 0, 3
Let j**4 + 11*j**3 + 32*j**2 + 4*j - 48 = 0. What is j?
-6, -4, -2, 1
What is u in 2*u**4/5 - 8*u**3/5 - 74*u**2/5 - 136*u/5 - 72/5 = 0?
-2, -1, 9
Solve -q**3 - 26*q**2 + 55*q - 28 = 0 for q.
-28, 1
Find i, given that -i**3/2 + 17*i**2 + i/2 - 17 = 0.
-1, 1, 34
Factor i**3/4 + 33*i**2/4 - 69*i/4 + 35/4.
(i - 1)**2*(i + 35)/4
Factor x**3 + 4*x**2 - 4*x - 16.
(x - 2)*(x + 2)*(x + 4)
Factor c**2 - 98*c + 97.
(c - 97)*(c - 1)
Factor 4*p**4 + 76*p**3 + 204*p**2 - 1804*p - 1936.
4*(p - 4)*(p + 1)*(p + 11)**2
Determine z so that 10*z**5/7 + 484*z**4/7 + 6402*z**3/7 + 13064*z**2/7 + 4232*z/7 = 0.
-23, -2, -2/5, 0
Factor 98*m**2/3 + 308*m/3 + 242/3.
2*(7*m + 11)**2/3
Determine q, given that -2*q**3/13 - 256*q**2/13 + 2*q/13 + 256/13 = 0.
-128, -1, 1
Factor w**2/7 - 169*w/7 - 692/7.
(w - 173)*(w + 4)/7
Let -3*l**5 + 69*l**4 + 21*l**3 - 501*l**2 + 414*l = 0. Calculate l.
-3, 0, 1, 2, 23
Determine o so that 4*o**2/9 + 332*o/9 - 680/9 = 0.
-85, 2
Factor -2*l**2/5 + 56*l/5 - 192/5.
-2*(l - 24)*(l - 4)/5
Factor 2*r**2/11 + 592*r/11 - 8680/11.
2*(r - 14)*(r + 310)/11
Factor 4*j**2 - 1916*j + 3816.
4*(j - 477)*(j - 2)
Factor 85*q**3/4 - 195*q**2/4 + 135*q/4 - 25/4.
5*(q - 1)**2*(17*q - 5)/4
Solve 75*t**2 + 5390*t - 720 = 0.
-72, 2/15
Suppose 2*f**4/3 + 50*f**3/3 - 6*f**2 - 4658*f/3 + 4624/3 = 0. What is f?
-17, 1, 8
Factor 3*h**4 + 48*h**3 + 222*h**2 + 312*h + 135.
3*(h + 1)**2*(h + 5)*(h + 9)
Let -o**3/2 - 5*o**2/2 - 4*o - 2 = 0. What is o?
-2, -1
Let 8*f**2 + 1562*f - 2758 = 0. Calculate f.
-197, 7/4
Factor -3*b**3 + 78*b**2 + 255*b + 174.
-3*(b - 29)*(b + 1)*(b + 2)
Suppose -4*w**5 + 4*w**4 + 24*w**3 + 8*w**2 - 20*w - 12 = 0. What is w?
-1, 1, 3
Solve -3*g**5 + 117*g**4 - 552*g**3 - 3708*g**2 - 4224*g = 0.
-2, 0, 11, 32
Find a, given that 35*a**5 + 760*a**4 - 1060*a**3 - 530*a**2 + 1025*a - 230 = 0.
-23, -1, 2/7, 1
Factor -o**3 - 1791*o**2 - 801024*o + 802816.
-(o - 1)*(o + 896)**2
Factor 2*m**2 + 172*m.
2*m*(m + 86)
Let 2*j**2/5 + 5792*j/5 + 4193408/5 = 0. What is j?
-1448
Factor c**5 + 67*c**4 - 210*c**3 + 4*c**2 + 280*c.
c*(c - 2)**2*(c + 1)*(c + 70)
Factor -4*z**2 + 4940*z + 4944.
-4*(z - 1236)*(z + 1)
Let y**4/8 - y**3/2 - 11*y**2/8 - 3*y/4 = 0. What is y?
-1, 0, 6
Factor -3*w**2/4 + 3*w/2 + 36.
-3*(w - 8)*(w + 6)/4
Suppose 5*w**5 + 115*w**4 + 755*w**3 + 625*w**2 - 4000*w + 2500 = 0. Calculate w.
-10, -5, 1
Factor -12*b**3/7 - 412*b**2/7 - 136*b/7.
-4*b*(b + 34)*(3*b + 1)/7
Factor 4*z**3 - 16*z**2 - 44*z - 24.
4*(z - 6)*(z + 1)**2
Solve -45*c**4 - 180*c**3 - 115*c**2 + 80*c + 60 = 0 for c.
-3, -1, -2/3, 2/3
Find u, given that -2*u**4/3 - 38*u**3/3 - 70*u**2 - 98*u/3 + 1372/3 = 0.
-7, 2
Let -9*t**5/5 - 3*t**4 - 3*t**3/5 + 3*t**2/5 = 0. Calculate t.
-1, 0, 1/3
Factor -2*j**2/7 + 226*j/7 + 696/7.
-2*(j - 116)*(j + 3)/7
Factor 1024*d**3/13 - 147840*d**2/13 + 7114800*d/13 - 114133250/13.
2*(8*d - 385)**3/13
Suppose -1343*o**2 - 3*o = 0. What is o?
-3/1343, 0
Factor w**3 - 27*w**2 + 243*w - 729.
(w - 9)**3
Find w, given that -33*w**3 - 369*w**2 + 330*w + 72 = 0.
-12, -2/11, 1
Factor 2*r**4/11 + 26