)/5
Solve r**5/3 + 65*r**4/3 + 1150*r**3/3 + 3070*r**2/3 + 2945*r/3 + 961/3 = 0.
-31, -1
What is i in 3*i**4 + 7692*i**3 + 7395858*i**2 + 3160496652*i + 506469588483 = 0?
-641
Suppose d**2 - 89*d + 88 = 0. What is d?
1, 88
Let -n**2 - 24*n - 119 = 0. Calculate n.
-17, -7
Suppose 2*p**2/7 - 132*p/7 + 2178/7 = 0. What is p?
33
Factor -3*u**4/2 - 15*u**3/2 + 12*u**2 + 18*u.
-3*u*(u - 2)*(u + 1)*(u + 6)/2
Solve 6*u**4/7 - 36*u**3 + 2286*u**2/7 - 3840*u/7 + 1800/7 = 0 for u.
1, 10, 30
Factor 3*y**5/7 + 6*y**4/7 - 9*y**3/7 - 12*y**2/7 + 12*y/7.
3*y*(y - 1)**2*(y + 2)**2/7
Factor 2*c**3/3 + 272*c**2/3 + 9248*c/3.
2*c*(c + 68)**2/3
Determine r so that -r**3 - 110*r**2 - 3025*r = 0.
-55, 0
Factor 2*s**3/7 + 64*s**2/7.
2*s**2*(s + 32)/7
Factor -g**5 + 53*g**4 - 1008*g**3 + 7448*g**2 - 5488*g - 115248.
-(g - 14)**4*(g + 3)
Factor q**3/4 - 223*q**2/4 - 687*q/2.
q*(q - 229)*(q + 6)/4
Factor -f**3 - 340*f**2 - 28900*f.
-f*(f + 170)**2
Factor d**3 - 48*d**2 - 55*d + 294.
(d - 49)*(d - 2)*(d + 3)
Solve 3*w**3/11 + 34*w**2/11 + 9*w/11 - 2 = 0.
-11, -1, 2/3
Find g, given that -5*g**2 - 26740*g - 35751380 = 0.
-2674
Factor 2*p**3/3 - 95*p**2/6 - 62*p/3 - 25/6.
(p - 25)*(p + 1)*(4*p + 1)/6
Factor -9*i**2 - 570*i - 9025.
-(3*i + 95)**2
Let -2*k**4 + 22*k**3 - 76*k**2 + 104*k - 48 = 0. What is k?
1, 2, 6
What is u in 3*u**5 + 6*u**4 - 60*u**3 - 24*u**2 + 384*u - 384 = 0?
-4, 2
Solve k**2 + 30*k + 29 = 0.
-29, -1
What is y in -3*y**2/7 + 684*y = 0?
0, 1596
Factor c**5 - 4*c**4 - 27*c**3 - 38*c**2 - 16*c.
c*(c - 8)*(c + 1)**2*(c + 2)
Factor -5*b**3 + 115*b**2.
-5*b**2*(b - 23)
Solve -4*i**4 - 44*i**3 + 52*i**2 + 44*i - 48 = 0.
-12, -1, 1
Factor 3*m**3/2 - 78*m**2 + 630*m.
3*m*(m - 42)*(m - 10)/2
Factor -3*l**4 - 3*l**3 + 174*l**2 + 768*l + 864.
-3*(l - 9)*(l + 2)*(l + 4)**2
Factor 29*z**3 - 27*z**2 - 2*z.
z*(z - 1)*(29*z + 2)
Suppose -3*w**5/4 + 57*w**4/2 - 27*w**3 - 57*w**2/2 + 111*w/4 = 0. What is w?
-1, 0, 1, 37
Factor -2*d**3 - 28*d**2 - 18*d + 648.
-2*(d - 4)*(d + 9)**2
Let 3*h**5 + 33*h**4 - 39*h**3 - 789*h**2 + 1008*h + 1728 = 0. What is h?
-8, -1, 3
Find u such that -13*u**2/3 - 41*u/3 - 2 = 0.
-3, -2/13
Let v**5/5 - 1588*v**4/5 + 1587*v**3/5 = 0. What is v?
0, 1, 1587
Let 5*a**2 - 180*a - 185 = 0. What is a?
-1, 37
Factor 2*w**4/11 + 58*w**3/11 + 414*w**2/11 + 1134*w/11 + 1080/11.
2*(w + 3)**3*(w + 20)/11
Factor -4*s**3 + 44*s**2 + 240*s - 1008.
-4*(s - 14)*(s - 3)*(s + 6)
Factor 2*w**3 - 114*w**2.
2*w**2*(w - 57)
Factor h**5 - 2*h**4 - 3*h**3 + 4*h**2 + 4*h.
h*(h - 2)**2*(h + 1)**2
Suppose -4*f**3 - 36*f**2 - 8*f + 192 = 0. Calculate f.
-8, -3, 2
Factor 3*h**4 + 9*h**3 - 12*h.
3*h*(h - 1)*(h + 2)**2
Solve g**2/2 + 67*g/2 - 219 = 0.
-73, 6
Suppose 2*o**3 - 10*o**2 - 2*o + 10 = 0. What is o?
-1, 1, 5
Solve 49*t**4/5 - 609*t**3/5 + 320*t**2 + 1068*t/5 + 32 = 0 for t.
-2/7, 5, 8
Suppose -3*y**4/5 + 798*y**3/5 - 49731*y**2/5 - 450456*y/5 = 0. What is y?
-8, 0, 137
Factor -3*d**2 + 57*d + 126.
-3*(d - 21)*(d + 2)
Factor -p**3 + 114*p**2 - 3249*p.
-p*(p - 57)**2
Factor -w**5 - 4*w**4 - 4*w**3 + 2*w**2 + 5*w + 2.
-(w - 1)*(w + 1)**3*(w + 2)
Find t such that 5*t**2 - 660*t + 1935 = 0.
3, 129
Determine p, given that 4*p**3 + 184*p**2 + 516*p = 0.
-43, -3, 0
Factor p**2/2 + 31*p - 639/2.
(p - 9)*(p + 71)/2
Factor p**2 + 76*p - 320.
(p - 4)*(p + 80)
Let w**5 + w**4 - 17*w**3 - 17*w**2 + 16*w + 16 = 0. Calculate w.
-4, -1, 1, 4
Factor 10*v**4 - 42*v**3 - 4*v**2 + 48*v.
2*v*(v - 4)*(v + 1)*(5*v - 6)
Determine r, given that 4*r**5 - 44*r**4 + 180*r**3 - 340*r**2 + 296*r - 96 = 0.
1, 2, 3, 4
Factor g**3/2 - 9*g**2 + 432.
(g - 12)**2*(g + 6)/2
Factor 2*q**3 + 130*q**2 + 496*q + 488.
2*(q + 2)**2*(q + 61)
Let 3*l**4/4 + 15*l**3/4 - 9*l**2/2 = 0. Calculate l.
-6, 0, 1
Determine o, given that 5*o**3 + 80*o**2 + 225*o - 810 = 0.
-9, 2
Factor 3*f**3/7 + 228*f**2/7 - 468*f/7.
3*f*(f - 2)*(f + 78)/7
Factor 38*r**2/3 - 66*r + 84.
2*(r - 3)*(19*r - 42)/3
Let 5*j**4 - 120*j**3 + 225*j**2 - 110*j = 0. What is j?
0, 1, 22
Factor -4*q**3/3 - 736*q**2/3 - 11036*q + 23064.
-4*(q - 2)*(q + 93)**2/3
Find j, given that 2*j**4 - 8*j**3 - 14*j**2 + 20*j = 0.
-2, 0, 1, 5
Determine x, given that -2*x**2 + 1074*x = 0.
0, 537
Factor -3*n**3 - 165*n**2 + 516*n - 348.
-3*(n - 2)*(n - 1)*(n + 58)
Solve -3*f**5 + 13*f**4 - 5*f**3 - 25*f**2 + 8*f + 12 = 0.
-1, -2/3, 1, 2, 3
Determine l so that -l**3/6 + 162*l**2 + 649*l/2 + 487/3 = 0.
-1, 974
Factor 5*f**5 + 440*f**4 + 12305*f**3 + 111090*f**2.
5*f**2*(f + 23)**2*(f + 42)
Factor 21*a**3 - 825*a**2 + 1788*a - 444.
3*(a - 37)*(a - 2)*(7*a - 2)
Determine y so that -3*y**3 - 9*y**2 + 12*y + 36 = 0.
-3, -2, 2
Factor 4*d**4 + 344*d**3 - 2684*d**2 - 433440*d + 6350400.
4*(d - 20)**2*(d + 63)**2
Factor 2*c**4 + 4*c**3 - 6*c**2 - 16*c - 8.
2*(c - 2)*(c + 1)**2*(c + 2)
Find q, given that 81*q**5 - 1944*q**4 - 4104*q**3 - 2778*q**2 - 777*q - 78 = 0.
-1, -1/3, 26
Factor -683*x**2/2 - 342*x - 1/2.
-(x + 1)*(683*x + 1)/2
Factor -2*o**3/15 - 4*o**2/3 - 14*o/15 + 12/5.
-2*(o - 1)*(o + 2)*(o + 9)/15
Determine u so that -u**3/6 + 2*u**2/3 + 115*u/6 + 175/3 = 0.
-5, 14
Factor -s**3 - 16*s**2 + 17*s.
-s*(s - 1)*(s + 17)
Let o**4/4 + 3*o**3 + 11*o**2/4 = 0. What is o?
-11, -1, 0
Factor 4*a**2/3 - 464*a/3 + 8272/3.
4*(a - 94)*(a - 22)/3
Factor 5*y**4/3 - 370*y**3/3 + 725*y**2/3 - 120*y.
5*y*(y - 72)*(y - 1)**2/3
Factor p**2/6 - 13*p/6 + 6.
(p - 9)*(p - 4)/6
Solve 3*d**2 - 1980*d + 326700 = 0.
330
Factor -4*j**3 + 60*j**2 - 108*j + 52.
-4*(j - 13)*(j - 1)**2
Solve -2*j**3/15 + 48*j**2/5 + 4136*j/15 = 0.
-22, 0, 94
Factor 3*q**3/7 - 36*q**2 - 1044*q/7 - 1056/7.
3*(q - 88)*(q + 2)**2/7
Factor -51*o**3 + 62*o**2 - 9*o - 2.
-(o - 1)*(3*o - 1)*(17*o + 2)
Let -6*u**5/5 + 248*u**4/15 - 1042*u**3/15 + 1268*u**2/15 - 104*u/5 - 48/5 = 0. What is u?
-2/9, 1, 6
Solve 2*k**3/3 - 29*k**2/9 + 31*k/9 + 2/3 = 0.
-1/6, 2, 3
Suppose 5*t**5 - 16520*t**4 + 18216020*t**3 - 6727666000*t**2 + 26692600000*t - 26620000000 = 0. What is t?
2, 1100
Solve -3*m**3 + 1014*m**2 + 2037*m + 1020 = 0 for m.
-1, 340
Find f such that 2*f**2/5 + 2892*f/5 + 1045458/5 = 0.
-723
Factor 2*q**5 + 2*q**4 - 16*q**3 - 24*q**2.
2*q**2*(q - 3)*(q + 2)**2
Solve -10*h**5 - 5*h**4 + 100*h**3 + 95*h**2 - 180*h - 180 = 0.
-2, -1, 3/2, 3
Factor -3*f**3/5 + 3*f**2 - 12*f/5.
-3*f*(f - 4)*(f - 1)/5
Solve u**3/4 - 89*u**2 + 4837*u/4 - 8379/2 = 0.
7, 342
Solve 75*z**3/4 - 2361*z**2 + 296919*z/4 + 11907/2 = 0.
-2/25, 63
Suppose -l**5/3 + 11*l**4/3 - 43*l**3/3 + 23*l**2 - 12*l = 0. Calculate l.
0, 1, 3, 4
Factor -4*b**2/9 + 404*b/9 - 392/3.
-4*(b - 98)*(b - 3)/9
Determine f, given that 3*f**2 + 114*f + 315 = 0.
-35, -3
Solve -4*k**4 - 188*k**3/5 - 192*k**2/5 + 1072*k/5 + 448/5 = 0.
-7, -4, -2/5, 2
Factor o**2 + 7*o + 6.
(o + 1)*(o + 6)
Let 3*d**3/8 - 15*d**2/2 - 117*d/2 = 0. What is d?
-6, 0, 26
Suppose -2*c**5/15 + 58*c**4/5 - 3854*c**3/15 + 766*c**2/5 + 31648*c/15 - 14792/5 = 0. What is c?
-3, 2, 43
Factor -5*p**4 + 15*p**3 + 5*p**2 - 15*p.
-5*p*(p - 3)*(p - 1)*(p + 1)
Factor 5*x**2/3 - 35*x + 340/3.
5*(x - 17)*(x - 4)/3
Solve 3*g**4/8 + 3*g**3 + 33*g**2/4 + 9*g + 27/8 = 0 for g.
-3, -1
Find s such that s**3/6 + 4*s**2/3 + 7*s/2 + 3 = 0.
-3, -2
Factor -2*b**3/3 + 16*b**2 - 250*b/3 + 68.
-2*(b - 17)*(b - 6)*(b - 1)/3
Let 3*h**4 - 30*h**3 + 63*h**2 = 0. Calculate h.
0, 3, 7
Solve -2*x**5/13 + 12*x**4/13 + 14*x**3/13 = 0.
-1, 0, 7
Find m, given that -5*m**2 + 125*m = 0.
0, 25
Factor 5*w**3 + 55*w**2 + 50*w.
5*w*(w + 1)*(w + 10)
Factor -4*q**4 + 40*q**3 + 12*q**2 - 112*q - 80.
-4*(q - 10)*(q - 2)*(q + 1)**2
Let -2*b**3/5 + 18*b**2/5 + 128*b/5 - 672/5 = 0. What is b?
-7, 4, 12
Find k such that -8*k**5 - 42*k**4 - 68*k**3 - 18*k**2 + 40*k + 24 = 0.
-2, -1, 3/4
Factor 3*o**2 + 51*o + 90.
3*(o + 2)*(o + 15)
Determine j, given that -3*j**2 - 1287*j - 1284 = 0.
-428, -1
Factor 3*d**3 + 555*d**2 + 24225*d - 135375.
3*(d - 5)*(d + 95)**2
Suppose 5*n**3 - 105*n**2 + 540*n = 0. Calculate n.
0, 9, 12
What is m in -8*m**2 + 6*m - 1 = 0?
1/4, 1/2
Factor -5*g**2 - 520*g - 3840.
-5*(g + 8)*(g + 96)
Factor 2*l**4/11 + 12*l**3 + 256*l**2/11.
2*l**2*(l + 2)*(l + 64)/11
Determine g so that -3*g**4/5 + 27*g**3/5 - 21*g**2/5 - 27*g - 84/5 = 0.
-1, 4, 7
Factor n**2 - 308*n + 23716.
(n - 154)**2
Find r, given that -27225*r**2 + 165*r - 1/4 = 0.
1/330
Dete