
Factor m**4 - 295*m**3 - 3*m**2 + 883*m + 590.
(m - 295)*(m - 2)*(m + 1)**2
Suppose 2*d**5/5 + 8*d**4/5 + 4*d**3/5 - 8*d**2/5 - 6*d/5 = 0. Calculate d.
-3, -1, 0, 1
Suppose 2*r**4/3 - 15836*r**3/3 + 31347362*r**2/3 = 0. Calculate r.
0, 3959
Factor -2*o**4/5 - 1516*o**3/5 - 1514*o**2/5.
-2*o**2*(o + 1)*(o + 757)/5
Factor -3*m**4 + 24*m**3 - 24*m**2 - 96*m + 144.
-3*(m - 6)*(m - 2)**2*(m + 2)
Let 4*d**2/9 + 155*d - 349/9 = 0. What is d?
-349, 1/4
Factor -4*c**3 + 116*c**2.
-4*c**2*(c - 29)
Factor 35*l**3 - 45*l**2 - 200*l + 60.
5*(l - 3)*(l + 2)*(7*l - 2)
Factor 3*y**4 + 30*y**3 + 87*y**2 + 24*y - 144.
3*(y - 1)*(y + 3)*(y + 4)**2
Find m, given that 5*m**3 + 1825*m**2 + 171000*m + 810000 = 0.
-180, -5
Suppose -2*a**4/13 - 332*a**3/13 - 13778*a**2/13 = 0. What is a?
-83, 0
Factor -2*f**2/5 + 4648*f/5 + 930.
-2*(f - 2325)*(f + 1)/5
Suppose -l**2/5 - 3112*l/5 - 2421136/5 = 0. What is l?
-1556
What is h in -30*h**4 - 325*h**3 + 845*h**2 - 20*h - 260 = 0?
-13, -1/2, 2/3, 2
Factor 2*p**4/9 - 250*p**3/9 + 3526*p**2/3 - 158014*p/9 + 275684/9.
2*(p - 41)**3*(p - 2)/9
Let -f**2/9 - 22*f/3 - 121 = 0. What is f?
-33
Find o, given that o**4 - 5*o**3/3 - 17*o**2/3 + 13*o/3 + 2 = 0.
-2, -1/3, 1, 3
Factor -2*m**4/5 + 4*m**3 - 10*m**2.
-2*m**2*(m - 5)**2/5
Suppose -4*a**3 - 8*a**2 + 64*a + 128 = 0. What is a?
-4, -2, 4
Factor 16*f**4 - 1808*f**3 + 50164*f**2 + 51528*f + 12996.
4*(f - 57)**2*(2*f + 1)**2
Solve -s**4/3 + 45*s**3 + 551*s**2/3 + 231*s + 278/3 = 0.
-2, -1, 139
Factor 15*n**2 - 485*n - 330.
5*(n - 33)*(3*n + 2)
What is s in -3*s**3 - 72*s**2 - 432*s - 768 = 0?
-16, -4
Let -4*b**3/7 + 9672*b**2/7 - 7795632*b/7 + 2094426464/7 = 0. Calculate b.
806
Let -6*o**4 + 32*o**3 + 74*o**2 - 28*o = 0. Calculate o.
-2, 0, 1/3, 7
Let z**3 - 1080*z**2 + 388800*z - 46656000 = 0. What is z?
360
What is l in -l**2/9 + 2*l/9 = 0?
0, 2
Factor 2*f**4/13 + 48*f**3/13 + 332*f**2/13 + 528*f/13 + 242/13.
2*(f + 1)**2*(f + 11)**2/13
Factor k**2/3 + 89*k/3 + 790/3.
(k + 10)*(k + 79)/3
Find j, given that 3*j**5/4 - 5*j**4/2 + 3*j**3 - 3*j**2/2 + j/4 = 0.
0, 1/3, 1
Solve -30*f**2/7 + 278*f/7 - 72/7 = 0.
4/15, 9
Suppose 6*x**3 + 5157*x**2/2 + 1929*x - 1287/2 = 0. Calculate x.
-429, -1, 1/4
What is i in -i**4/4 - 100*i**3 - 26733*i**2/2 - 601426*i - 2352637/4 = 0?
-133, -1
Determine t, given that 2*t**3/5 - 84*t**2/5 + 1026*t/5 - 2888/5 = 0.
4, 19
Factor 2*k**2/7 + 1024*k/7 + 146.
2*(k + 1)*(k + 511)/7
Determine c, given that -24*c**3/5 - 506*c**2/5 + 96*c - 88/5 = 0.
-22, 1/4, 2/3
Factor -2*u**4/3 + 164*u**3/3 - 1064*u**2 - 2352*u.
-2*u*(u - 42)**2*(u + 2)/3
Factor -6*u**3 + 22*u**2/3 - 4*u/3.
-2*u*(u - 1)*(9*u - 2)/3
Factor -2*v**2 + 48*v + 162.
-2*(v - 27)*(v + 3)
Factor 5*v**3/6 - 25*v**2/6 - 20*v/3 + 10.
5*(v - 6)*(v - 1)*(v + 2)/6
Solve -160*m**3 - 166*m**2 - 6*m = 0 for m.
-1, -3/80, 0
Factor 2*b**5/9 - 14*b**4/9 + 4*b**3 - 40*b**2/9 + 16*b/9.
2*b*(b - 2)**3*(b - 1)/9
Suppose -4*n**4 - 24*n**3 - 36*n**2 + 16*n + 48 = 0. What is n?
-3, -2, 1
Solve -3*r**3 - 38139*r**2 - 121196205*r + 121234347 = 0.
-6357, 1
What is g in -2*g**5/3 + g**4 + 4*g**3 - 7*g**2/3 - 2*g = 0?
-2, -1/2, 0, 1, 3
Let -4*c**3 - 1652*c**2 + 1656*c = 0. Calculate c.
-414, 0, 1
Determine a so that 3*a**2/4 - 510*a + 86700 = 0.
340
Factor -5*f**4 - 5*f**3 + 80*f**2 + 80*f.
-5*f*(f - 4)*(f + 1)*(f + 4)
Find v such that -6*v**3/5 + 6258*v**2/5 + 6264*v/5 = 0.
-1, 0, 1044
Suppose -2*a**4 + 22*a**3 = 0. Calculate a.
0, 11
Factor 2*k**3/7 + 90*k**2 + 6762*k - 51842.
2*(k - 7)*(k + 161)**2/7
Suppose 3*i**4/2 + 7*i**3/2 - 7*i**2/2 - 3*i/2 = 0. What is i?
-3, -1/3, 0, 1
Determine a, given that 2*a**3/17 - 18*a**2/17 + 48*a/17 - 32/17 = 0.
1, 4
Factor 12*n**3/7 - 26*n**2/7 - 6*n/7 + 20/7.
2*(n - 2)*(n - 1)*(6*n + 5)/7
Determine i so that i**3/3 + 47*i**2/3 - 97*i/3 + 49/3 = 0.
-49, 1
Find n, given that 2*n**5 - 196*n**4 + 5180*n**3 - 18616*n**2 + 22466*n - 8836 = 0.
1, 2, 47
Factor 2*a**3 + 552*a**2 + 3256*a + 4320.
2*(a + 2)*(a + 4)*(a + 270)
Factor -2*v**5 + 2*v**3.
-2*v**3*(v - 1)*(v + 1)
Let -3*q**3/2 + 228*q**2 - 16863*q/2 - 17787 = 0. What is q?
-2, 77
Determine i so that i**4/9 - i**2/3 + 2*i/9 = 0.
-2, 0, 1
Let 450*g**4 + 855*g**3 - 95*g**2 - 10*g = 0. Calculate g.
-2, -1/15, 0, 1/6
Solve 2*r**2 + 4*r - 16 = 0.
-4, 2
Factor -u**3/6 - 118*u**2/3 - 235*u/6.
-u*(u + 1)*(u + 235)/6
Suppose 81*g**2/8 + 18*g + 8 = 0. Calculate g.
-8/9
Find x, given that -3*x**5/4 - 10*x**4 - x**3 + 63*x**2/2 + 119*x/4 + 13/2 = 0.
-13, -1, -1/3, 2
Factor 131072*u**4 - 143360*u**3 + 12672*u**2 - 388*u + 4.
4*(u - 1)*(32*u - 1)**3
Suppose -3*k**5 + 3*k**4 + 9*k**3 - 3*k**2 - 6*k = 0. Calculate k.
-1, 0, 1, 2
Determine l so that 8*l**5/9 + 524*l**4/9 - 2512*l**3/9 + 596*l**2/9 + 2504*l/9 - 1120/9 = 0.
-70, -1, 1/2, 1, 4
Suppose 4*h**3 - 124*h**2 + 824*h - 704 = 0. What is h?
1, 8, 22
Factor -l**3/7 + 8*l**2/7 - l.
-l*(l - 7)*(l - 1)/7
Factor -w**2/3 + 14*w + 184/3.
-(w - 46)*(w + 4)/3
Determine v so that v**5/3 - v**4 + v**3 - v**2/3 = 0.
0, 1
Factor -x**5/3 - 2*x**4/3 + 4*x**3/3 + 8*x**2/3.
-x**2*(x - 2)*(x + 2)**2/3
Factor 3*m**3 + 333*m**2 + 9072*m - 9408.
3*(m - 1)*(m + 56)**2
Solve -u**5/2 + 5*u**3/2 - 2*u = 0.
-2, -1, 0, 1, 2
Find f, given that 1428*f**4 - 2824*f**3 + 1348*f**2 + 64*f - 16 = 0.
-2/17, 2/21, 1
Find d, given that -6075*d**3 - 1890*d**2 + 60*d + 40 = 0.
-2/9, 2/15
Factor -5*v**2 + 5*v + 280.
-5*(v - 8)*(v + 7)
Find f such that -2*f**5/9 - 256*f**4/9 - 28*f**3 + 256*f**2/9 + 254*f/9 = 0.
-127, -1, 0, 1
Let -h**3/7 + 22*h**2/7 + 135*h/7 = 0. What is h?
-5, 0, 27
Factor 3*k**2/7 + 156*k/7.
3*k*(k + 52)/7
Factor a**2/7 - 1720*a/7 - 1721/7.
(a - 1721)*(a + 1)/7
Let f**4/4 - 3*f**3/4 - 3*f**2/2 + 7*f - 6 = 0. What is f?
-3, 2
Suppose -18*o**5 + 42*o**4 - 2*o**3 - 18*o**2 - 4*o = 0. What is o?
-1/3, 0, 1, 2
Let 5*k**3 + 2215*k**2 + 244200*k - 246420 = 0. Calculate k.
-222, 1
Determine x so that -3*x**4 - 105*x**3 - 969*x**2 - 867*x = 0.
-17, -1, 0
Let 5*p**3 - 3*p**2 - 9*p/5 - 1/5 = 0. What is p?
-1/5, 1
Factor -l**2/6 - 559*l/3 - 312481/6.
-(l + 559)**2/6
What is i in 2*i**3/9 - 1550*i**2/9 = 0?
0, 775
Factor 5*o**3/3 + 47*o**2/3 + 6*o.
o*(o + 9)*(5*o + 2)/3
Factor -4*i**2 + 124*i + 560.
-4*(i - 35)*(i + 4)
Factor h**3/4 - 63*h**2/4 + 119*h/4 + 183/4.
(h - 61)*(h - 3)*(h + 1)/4
Factor 6*c**3 - 950*c**2 - 2568*c - 1288.
2*(c - 161)*(c + 2)*(3*c + 2)
What is f in -12*f**5 - 320*f**4 - 1908*f**3 + 3024*f**2 - 784*f = 0?
-14, 0, 1/3, 1
Let -2*a**3 - 8*a**2 = 0. Calculate a.
-4, 0
What is m in 25*m**5/4 + 37*m**4/2 - 53*m**3/4 - 149*m**2/2 - 47*m + 2 = 0?
-2, -1, 1/25, 2
Solve w**3/7 - 5*w**2/7 - 12*w/7 + 36/7 = 0 for w.
-3, 2, 6
Factor -20*t**3 - 512*t**2 + 208*t.
-4*t*(t + 26)*(5*t - 2)
Let -s**4 - 107*s**3/5 - 402*s**2/5 + 2016*s/5 + 864/5 = 0. Calculate s.
-12, -2/5, 3
Find s such that -5*s**3 - 5400*s**2 - 1944000*s - 233280000 = 0.
-360
Find t such that t**4/4 + t**3/2 - 5*t**2/4 - 3*t/2 = 0.
-3, -1, 0, 2
Solve 3*h**3 - 3*h**2 - 3*h + 3 = 0.
-1, 1
Factor -99*d**2/2 + d.
-d*(99*d - 2)/2
Find n, given that -16*n**2 - 4*n = 0.
-1/4, 0
Factor j**4/2 - 225*j**3/2 + 443*j**2/2 + 669*j/2.
j*(j - 223)*(j - 3)*(j + 1)/2
Suppose -3*r**4 - 1584*r**3 - 207495*r**2 + 421350*r = 0. What is r?
-265, 0, 2
Solve -3*g**3 + 453*g**2 + 462*g - 912 = 0.
-2, 1, 152
Suppose 3*z**2/4 + 819*z/4 + 204 = 0. Calculate z.
-272, -1
Factor 4*u**3/3 + 61*u**2/3 + 55*u + 36.
(u + 1)*(u + 12)*(4*u + 9)/3
Factor -3*t**3 - 69*t**2 - 528*t - 1344.
-3*(t + 7)*(t + 8)**2
Factor 2*i**3 + 398*i**2 + 20758*i + 94090.
2*(i + 5)*(i + 97)**2
Factor -5*h**5/3 - 5*h**4/3 + 5*h**3/3 + 5*h**2/3.
-5*h**2*(h - 1)*(h + 1)**2/3
Factor -332*s**2 - 4656*s - 112.
-4*(s + 14)*(83*s + 2)
Factor 2*d**2/13 + 836*d/13 + 2490/13.
2*(d + 3)*(d + 415)/13
Factor -2*k**4/9 - 44*k**3/9 - 40*k**2 - 144*k - 192.
-2*(k + 4)*(k + 6)**3/9
Solve 4*t**3 + 356*t**2 + 700*t + 348 = 0 for t.
-87, -1
Factor -2*i**4 - 22*i**3 + 44*i**2 + 832*i + 768.
-2*(i - 6)*(i + 1)*(i + 8)**2
Find y, given that -y**2 + 7056*y - 12446784 = 0.
3528
Let -3*a**3 - 306*a**2 - 8100*a - 15000 = 0. Calculate a.
-50, -2
Factor 4*l**2 - 4460*l - 4464.
4*(l - 1116)*(l + 1)
Factor j**2/2 - 45*j/2 - 47.
(j - 47)*(j + 2)/2
Suppose d**2/11 + 12*d/11 = 0. What is d?
-12, 0
Let m**4/12 - 3*m**3/4 - 47*m**2/12 - 21*m/4 - 13/