3 - j/3 + 2/3 = 0.
-2, 1
Let -2*i**4 - 28*i**3 = 0. Calculate i.
-14, 0
Find c, given that 2*c**5 + 6*c**4 - 20*c**3 + 4*c**2 + 18*c - 10 = 0.
-5, -1, 1
Let 2*x**5 - 2*x**4 - 14*x**3 + 2*x**2 + 12*x = 0. Calculate x.
-2, -1, 0, 1, 3
Factor 6*g**3/7 - 128*g**2/7 - 230*g/7.
2*g*(g - 23)*(3*g + 5)/7
Solve -i**4 - 91*i**3 - 2113*i**2 - 1845*i + 4050 = 0.
-45, -2, 1
Solve 4*o**4/7 - 16*o**3/7 - 72*o**2/7 - 80*o/7 - 4 = 0 for o.
-1, 7
Factor -41*t**3/5 - t**2/5.
-t**2*(41*t + 1)/5
Factor -2*q**3/5 + 118*q**2/5 - 1998*q/5 + 1458.
-2*(q - 27)**2*(q - 5)/5
Factor -4*n**2 - 1944*n.
-4*n*(n + 486)
Factor 4*u**4/7 + 4448*u**3/7 + 1240984*u**2/7 + 2468640*u/7 + 1232100/7.
4*(u + 1)**2*(u + 555)**2/7
Find r such that -1536*r**4/5 - 96576*r**3/5 - 83142*r**2/5 + 11526*r/5 - 372/5 = 0.
-62, -1, 1/16
Suppose -5*s**4 - 670*s**3 - 1980*s**2 - 1970*s - 655 = 0. What is s?
-131, -1
Solve -28*a**5 - 244*a**4 + 3684*a**3 - 4364*a**2 + 952*a = 0 for a.
-17, 0, 2/7, 1, 7
Factor 3*m**4/5 - 154*m**3/5 - 776*m**2/5 - 448*m/5.
m*(m - 56)*(m + 4)*(3*m + 2)/5
Factor a**3/4 + 5*a**2/4.
a**2*(a + 5)/4
Factor 2*g**2/3 - 11516*g/3 + 16577282/3.
2*(g - 2879)**2/3
Determine d, given that -924*d**4 - 2692*d**3 + 256*d**2 + 48*d = 0.
-3, -2/21, 0, 2/11
Let -5*i**4 + 90*i**3 + 5*i**2 - 90*i = 0. What is i?
-1, 0, 1, 18
Factor i**2/11 + 6*i/11 - 27/11.
(i - 3)*(i + 9)/11
Suppose 15*q**3/2 - 339*q**2/2 + 399*q - 180 = 0. Calculate q.
3/5, 2, 20
Factor 3*y**4/2 - 15*y**3/2 - 33*y**2/2 + 99*y/2 - 27.
3*(y - 6)*(y - 1)**2*(y + 3)/2
Suppose -d**4 - 16*d**3 + d**2 + 16*d = 0. What is d?
-16, -1, 0, 1
Factor 2*h**2/7 + 440*h/7 + 24200/7.
2*(h + 110)**2/7
Let i**2 - 16*i + 64 = 0. What is i?
8
Factor -x**2/3 - 2941*x/3.
-x*(x + 2941)/3
Factor 5*m**3 - 10*m**2 - 25*m + 30.
5*(m - 3)*(m - 1)*(m + 2)
Determine q so that q**4/3 + 4*q**3/3 - 2*q**2/3 - 4*q + 3 = 0.
-3, 1
Factor 476*k**5 - 4276*k**4/9 - 8*k**3/9.
4*k**3*(k - 1)*(1071*k + 2)/9
Factor -5*p**3 - 65*p**2 + 70*p.
-5*p*(p - 1)*(p + 14)
Find s such that -s**2/3 + 707*s/3 + 236 = 0.
-1, 708
Factor 5*i**2/6 + 125*i/6 + 120.
5*(i + 9)*(i + 16)/6
Factor 4*n**3 - 3104*n**2 + 605268*n - 1198152.
4*(n - 387)**2*(n - 2)
Solve -c**2/10 + 7*c/2 - 153/5 = 0.
17, 18
Factor -3*n**2/5 + 111*n/5 + 774/5.
-3*(n - 43)*(n + 6)/5
Factor -p**5 + 25*p**4 - 214*p**3 + 656*p**2 - 128*p - 1024.
-(p - 8)**3*(p - 2)*(p + 1)
Factor 2*s**3 - 1624*s**2 - 3254*s - 1628.
2*(s - 814)*(s + 1)**2
Find s such that -10*s**3 - 124*s**2 - 158*s - 44 = 0.
-11, -1, -2/5
Solve -i**3 - 40*i**2 - 139*i + 1260 = 0 for i.
-35, -9, 4
Solve p**5/4 - p**4/2 - p**3/2 + p**2 + p/4 - 1/2 = 0 for p.
-1, 1, 2
Let 14*k**5/9 + 38*k**4/9 - 68*k**3/9 - 152*k**2/9 + 16*k/3 = 0. Calculate k.
-3, -2, 0, 2/7, 2
Solve 2800*i**4 + 1480*i**3 + 127*i**2 + 3*i = 0 for i.
-3/7, -1/20, 0
Factor -h**4/6 + h**3/2 - h**2/3.
-h**2*(h - 2)*(h - 1)/6
Solve 3*a**3/8 + 93*a**2/8 - 639*a/8 + 999/8 = 0.
-37, 3
Solve 5*x**5 + 345*x**4 - 710*x**3 + 10*x**2 + 705*x - 355 = 0 for x.
-71, -1, 1
Solve 243*m**5/5 - 2781*m**4/5 + 8733*m**3/5 - 8583*m**2/5 + 528*m - 252/5 = 0 for m.
2/9, 1, 3, 7
Factor 2*p**4/9 + 52*p**3/3 + 3338*p**2/9 + 3848*p/3 + 10952/9.
2*(p + 2)**2*(p + 37)**2/9
Find g such that 5*g**5 + 180*g**4 + 920*g**3 + 570*g**2 - 925*g - 750 = 0.
-30, -5, -1, 1
Let 2*s**2/5 + 92*s/5 + 1056/5 = 0. Calculate s.
-24, -22
Factor r**2/5 + 412*r/5.
r*(r + 412)/5
Suppose 6*n**5 - 52*n**4 - 24*n**3 + 52*n**2 + 18*n = 0. Calculate n.
-1, -1/3, 0, 1, 9
Find f such that -5*f**2 + 350*f + 355 = 0.
-1, 71
Solve -2*n**5/13 - 76*n**4/13 - 132*n**3/13 + 10960*n**2/13 - 48250*n/13 + 37500/13 = 0.
-25, 1, 5, 6
Find o such that 5*o**2 + 5380*o - 5385 = 0.
-1077, 1
Let -y**3/4 - 44*y**2 - 1216*y - 9216 = 0. Calculate y.
-144, -16
Factor 3*z**2/7 - 3222*z/7 + 3219/7.
3*(z - 1073)*(z - 1)/7
Factor -2*q**2/5 + 8524*q/5 - 9082322/5.
-2*(q - 2131)**2/5
Factor 2*z**3/5 + 24*z**2/5 + 14*z + 48/5.
2*(z + 1)*(z + 3)*(z + 8)/5
Factor 10*x**4 - 386*x**3 - 976*x**2 - 328*x.
2*x*(x - 41)*(x + 2)*(5*x + 2)
Determine b so that b**3 + 49*b**2 + 155*b - 12493 = 0.
-31, 13
What is h in -2*h**2/5 + 88*h/5 = 0?
0, 44
Solve r**4/9 + 32*r**3/9 - 34*r**2/9 - 32*r/9 + 11/3 = 0 for r.
-33, -1, 1
Factor -4*a**2 - 3828*a - 7640.
-4*(a + 2)*(a + 955)
Let 8*h**5/15 - 778*h**4/15 - 1382*h**3/15 - 398*h**2/15 + 66*h/5 = 0. Calculate h.
-1, 0, 1/4, 99
Factor -k**4/9 + 121*k**3/9 + 82*k**2/3.
-k**2*(k - 123)*(k + 2)/9
Determine y, given that -y**3/7 + 9*y**2/7 - 2*y = 0.
0, 2, 7
Determine u, given that -4*u**4 + 64*u**3 - 96*u**2 - 1280*u - 1600 = 0.
-2, 10
Factor 5*m**2 + 1510*m + 114005.
5*(m + 151)**2
Let 2*c**2/11 - 14*c + 2544/11 = 0. What is c?
24, 53
Factor b**5/3 - 5*b**4/3 + 2*b**3 + 2*b**2/3 - 7*b/3 + 1.
(b - 3)*(b - 1)**3*(b + 1)/3
What is g in -g**2/10 + 17*g/10 + 9/5 = 0?
-1, 18
What is n in -2*n**5/7 + 8*n**4/7 + 52*n**3/7 - 64*n**2/7 - 50*n/7 + 8 = 0?
-4, -1, 1, 7
Factor p**2/9 - 8*p/9.
p*(p - 8)/9
Factor 2*p**3/11 + 58*p**2/11 - 122*p/11 + 62/11.
2*(p - 1)**2*(p + 31)/11
Suppose 4*a**2 + 12*a - 1360 = 0. What is a?
-20, 17
Factor -4*c**2 - 1020*c + 2056.
-4*(c - 2)*(c + 257)
Find f such that 4*f**5 - 104*f**4 + 140*f**3 + 1208*f**2 + 960*f = 0.
-2, -1, 0, 5, 24
Factor -5*d**2 - 1560*d + 14445.
-5*(d - 9)*(d + 321)
Factor -h**2/6 - 973*h/3 - 946729/6.
-(h + 973)**2/6
Factor 4*i**4 + 112*i**3 + 212*i**2 + 104*i.
4*i*(i + 1)**2*(i + 26)
Factor 5*h**5 - 40*h**4 + 75*h**3 + 40*h**2 - 80*h.
5*h*(h - 4)**2*(h - 1)*(h + 1)
Find c such that -4*c**4 - 52*c**3 - 200*c**2 - 128*c + 384 = 0.
-6, -4, 1
Factor 3*y**4 + 12*y**3 + 12*y**2.
3*y**2*(y + 2)**2
Factor -b**3/9 - 37*b**2/9 + 83*b/3 - 43.
-(b - 3)**2*(b + 43)/9
Factor 5*i**3 + 1220*i**2 + 74420*i.
5*i*(i + 122)**2
Suppose 13*z**5/5 + 93*z**4/5 - 168*z**3/5 - 652*z**2/5 - 96*z/5 = 0. Calculate z.
-8, -2, -2/13, 0, 3
Solve 2*x**4/11 - 112*x**3/11 + 2352*x**2/11 - 21952*x/11 + 76832/11 = 0 for x.
14
Solve -20*l**5/7 - 1272*l**4/7 - 4348*l**3/7 - 1656*l**2/7 + 1440*l/7 = 0.
-60, -3, -1, 0, 2/5
Let 16*g**5 - 76*g**4 + 92*g**3 - 20*g**2 - 12*g = 0. Calculate g.
-1/4, 0, 1, 3
What is i in -14*i**4 + 1908*i**3 - 7768*i**2 - 20112*i + 6336 = 0?
-2, 2/7, 6, 132
Find p such that -3*p**2 + 24*p + 60 = 0.
-2, 10
Find l, given that 2*l**3 - 40*l**2 - 54*l + 252 = 0.
-3, 2, 21
Determine m so that -4*m**2 - 980*m - 1944 = 0.
-243, -2
Solve 3*j**3/5 - 48*j**2/5 + 87*j/5 - 42/5 = 0 for j.
1, 14
Find f, given that f**2 - 22*f + 40 = 0.
2, 20
Determine c, given that -86*c**4/23 + 174*c**3/23 - 90*c**2/23 + 2*c/23 = 0.
0, 1/43, 1
Factor n**5/2 - n**4 - n**3 + 4*n**2 - 7*n/2 + 1.
(n - 1)**4*(n + 2)/2
Suppose p**3 + 10*p**2 - 56*p = 0. Calculate p.
-14, 0, 4
Determine n, given that -5*n**4 - 20*n**3 - 15*n**2 + 20*n + 20 = 0.
-2, -1, 1
Suppose -n**5 + 4*n**4 + 11*n**3 + 6*n**2 = 0. Calculate n.
-1, 0, 6
Factor -48*p**4 + 380*p**3 + 32*p**2.
-4*p**2*(p - 8)*(12*p + 1)
Factor -676*a**4 + 2036*a**3 - 24*a**2.
-4*a**2*(a - 3)*(169*a - 2)
Solve -3*u**2 + 30*u - 75 = 0 for u.
5
Factor -5*o**4 - 1635*o**3 - 178215*o**2 - 6475145*o.
-5*o*(o + 109)**3
Find f such that -f**3/2 - 77*f**2/2 - 284*f - 552 = 0.
-69, -4
Suppose -4*u**4/7 - 4*u**3 - 44*u**2/7 + 4*u + 48/7 = 0. Calculate u.
-4, -3, -1, 1
Factor 7*q**4/4 + 135*q**3/4 + 731*q**2/4 + 765*q/4 + 81/2.
(q + 1)*(q + 9)**2*(7*q + 2)/4
Suppose 9*h**5/7 - 6*h**4 + 12*h**3/7 + 54*h**2/7 - 3*h - 12/7 = 0. What is h?
-1, -1/3, 1, 4
Solve -s**4/5 - 296*s**3/5 - 32856*s**2/5 - 1620896*s/5 - 29986576/5 = 0.
-74
Find x, given that -x**2/4 - 15*x/2 + 31/4 = 0.
-31, 1
What is g in g**2/7 - 4*g + 160/7 = 0?
8, 20
Factor -v**4 + 478*v**3 - 58069*v**2 + 226572*v - 224676.
-(v - 237)**2*(v - 2)**2
Solve -x**3 - 4662*x**2 - 7244748*x - 3752779464 = 0.
-1554
Suppose -2*y**4/9 - 592*y**3/9 - 43808*y**2/9 = 0. What is y?
-148, 0
Factor 2*d**2/7 - 18*d/7 - 72/7.
2*(d - 12)*(d + 3)/7
Determine s, given that -s**2/3 + 13*s/3 - 12 = 0.
4, 9
Factor -4*k**3 + 12*k**2 - 8*k.
-4*k*(k - 2)*(k - 1)
What is i in i**2/3 - 23*i/3 - 140/3 = 0?
-5, 28
Find t, given that -2*t**2 - 4*t = 0.
-2, 0
Suppose 14*t**4/5 - 18*t**3/5 - 2*t**2 + 18*t/5 - 4/5 = 0. What is t?
-1, 2/7, 1
Find n, given that n**4/3 + 14*n**3/3 - 185*n**2/3 - 66*n = 0.
-22, -1, 0, 9
Let -h**3/4 - 4*h**2 + 151*h/4 - 115/2 = 0. What is h?
-23, 2, 