etermine t, given that t**3 - 855*t**2 + 243675*t - 23149125 = 0.
285
What is f in -4*f**2 - 708*f + 712 = 0?
-178, 1
Solve -2*c**3/17 + 50*c**2/17 - 208*c/17 + 160/17 = 0 for c.
1, 4, 20
Factor 4*n**2 + 524*n + 520.
4*(n + 1)*(n + 130)
Find y, given that y**2/8 - 143*y/8 - 145/4 = 0.
-2, 145
Factor 4*o**4/9 - 32*o**3/9 + 52*o**2/9 - 8*o/3.
4*o*(o - 6)*(o - 1)**2/9
Factor 2*h**3/19 - 98*h**2/19 - 18*h/19 + 882/19.
2*(h - 49)*(h - 3)*(h + 3)/19
Let -2*a**3 + 110*a**2 - 1824*a + 8064 = 0. Calculate a.
7, 24
Factor -15*g**2 - 2150*g - 715.
-5*(g + 143)*(3*g + 1)
Factor t**3/5 - 66*t**2/5 - t/5 + 66/5.
(t - 66)*(t - 1)*(t + 1)/5
Find i such that 163*i**2/3 - i = 0.
0, 3/163
Factor -12*j**3 - 364*j**2 + 1068*j + 396.
-4*(j - 3)*(j + 33)*(3*j + 1)
Suppose -d**4/3 - 7*d**3 + 22*d**2/3 = 0. What is d?
-22, 0, 1
Factor 3*s**2 - 4302*s + 8592.
3*(s - 1432)*(s - 2)
Suppose -3*h**2 + 237*h = 0. Calculate h.
0, 79
Factor -n**3/2 + 25*n**2/2 - 71*n - 84.
-(n - 14)*(n - 12)*(n + 1)/2
Factor -g**3/4 - 13*g**2/4 - 10*g - 9.
-(g + 2)**2*(g + 9)/4
Factor 3*u**3 - 909*u**2 + 91809*u - 3090903.
3*(u - 101)**3
Determine a, given that -4*a**4 + 120*a**3 - 116*a**2 = 0.
0, 1, 29
Find v such that -14*v**5 - 108*v**4 + 466*v**3 - 432*v**2 + 88*v = 0.
-11, 0, 2/7, 1, 2
Find l, given that 4*l**4 + 132*l**3 - 420*l**2 + 428*l - 144 = 0.
-36, 1
Factor -3*s**3/5 - 30*s**2 - 291*s/5 - 144/5.
-3*(s + 1)**2*(s + 48)/5
Factor -3*t**4/2 + 6*t**3 - 3*t**2/2 - 9*t.
-3*t*(t - 3)*(t - 2)*(t + 1)/2
Suppose -2*i**4 + 810*i**3 - 85536*i**2 + 705672*i = 0. Calculate i.
0, 9, 198
Determine n so that 3*n**3/7 - 108*n**2/7 - 804*n/7 + 288 = 0.
-8, 2, 42
Factor 26*t**5/3 + 34*t**4 + 50*t**3 + 98*t**2/3 + 8*t.
2*t*(t + 1)**3*(13*t + 12)/3
Factor -2*x**3/3 + 24*x**2 - 70*x/3.
-2*x*(x - 35)*(x - 1)/3
Solve -8*u**5 + 30*u**4 + 320*u**3 + 510*u**2 + 108*u = 0.
-3, -2, -1/4, 0, 9
Solve q**4/6 + 188*q**3/3 + 35717*q**2/6 + 34969*q/3 = 0 for q.
-187, -2, 0
Factor h**2 + 5*h - 126.
(h - 9)*(h + 14)
What is r in r**2 - 45*r - 144 = 0?
-3, 48
Factor 3*l**3 - 81*l**2 + 504*l + 588.
3*(l - 14)**2*(l + 1)
Factor 45*k**2/2 - 87*k - 12.
3*(k - 4)*(15*k + 2)/2
Find z such that 2*z**2/19 - 2880*z/19 + 1036800/19 = 0.
720
Determine l, given that 2*l**4 - 9758*l**3 + 29262*l**2 - 29258*l + 9752 = 0.
1, 4876
Factor 5*s**3 - 675*s**2.
5*s**2*(s - 135)
What is x in -5*x**3 + 725*x**2 + 2210*x + 1480 = 0?
-2, -1, 148
Suppose p**4/4 - 5*p**3/2 + 5*p**2 + 5*p/2 - 21/4 = 0. Calculate p.
-1, 1, 3, 7
Let 6*w**3 + 22*w**2/3 + 4*w/3 = 0. What is w?
-1, -2/9, 0
Factor 2*q**3 - 12*q**2 - 90*q + 324.
2*(q - 9)*(q - 3)*(q + 6)
Factor -4*b**2 + 28*b + 392.
-4*(b - 14)*(b + 7)
Solve 4*d**3/9 + 44*d**2/9 + 28*d/9 - 196/3 = 0.
-7, 3
Factor -3*t**2/2 - 138*t.
-3*t*(t + 92)/2
Suppose -12*a**2/7 - 332*a/7 - 216/7 = 0. What is a?
-27, -2/3
Factor 3*d**3 + 21*d**2 + 24*d - 48.
3*(d - 1)*(d + 4)**2
Factor 5*u**2 - 150*u - 155.
5*(u - 31)*(u + 1)
Suppose -g**5/5 - 13*g**4/5 - 16*g**3/5 + 192*g**2/5 = 0. Calculate g.
-8, 0, 3
Suppose -d**3/8 - 41*d**2 + 165*d/2 = 0. What is d?
-330, 0, 2
Factor -4*f**3 - 16*f**2 + 76*f - 56.
-4*(f - 2)*(f - 1)*(f + 7)
Find h such that -h**3/2 - 6*h**2 + 90*h + 200 = 0.
-20, -2, 10
Suppose 5*l**5 + 55*l**4 - 10*l**3 - 780*l**2 + 1080*l = 0. Calculate l.
-9, -6, 0, 2
Determine h, given that -2*h**2/3 + 14*h + 44/3 = 0.
-1, 22
Find b such that 3*b**2 + 102*b + 99 = 0.
-33, -1
Find c such that -9*c**2/4 - 39*c - 315/4 = 0.
-15, -7/3
Determine f, given that -10*f**5 + 1795*f**4 - 81885*f**3 + 119705*f**2 - 39605*f = 0.
0, 1/2, 1, 89
Factor -5*y**2 + 145*y + 1480.
-5*(y - 37)*(y + 8)
Factor -4*g**4/7 + 12*g**3/7 - 12*g**2/7 + 4*g/7.
-4*g*(g - 1)**3/7
Factor 9*b**3/4 + 10083*b**2/4 + 3358*b + 1119.
(b + 1119)*(3*b + 2)**2/4
Determine n, given that -n**5/4 - 5*n**4/2 - 27*n**3/4 - n**2/2 + 10*n = 0.
-5, -4, -2, 0, 1
Factor -l**3 - 10*l**2 - 16*l.
-l*(l + 2)*(l + 8)
Factor 4*m**4 - 72*m**3 - 160*m**2.
4*m**2*(m - 20)*(m + 2)
Factor g**3/3 + 22*g**2/3 - 23*g/3.
g*(g - 1)*(g + 23)/3
Suppose 2*z**3/9 - 14*z**2/9 - 490*z/9 - 686/3 = 0. Calculate z.
-7, 21
Let -5*s**4 - 55*s**3 + 765*s**2 - 2565*s + 2700 = 0. Calculate s.
-20, 3
What is t in 27*t**5/7 + 24*t**4 - 1341*t**3/7 + 126*t**2 + 264*t/7 = 0?
-11, -2/9, 0, 1, 4
Factor 343*a**5/11 + 8869*a**4/11 + 7434*a**3/11 + 2108*a**2/11 + 200*a/11.
a*(a + 25)*(7*a + 2)**3/11
Factor -3*r**3/4 - 33*r**2/4 - 21*r.
-3*r*(r + 4)*(r + 7)/4
Factor -2*o**4/13 + 1084*o**3/13 - 147962*o**2/13 + 292680*o/13 - 145800/13.
-2*(o - 270)**2*(o - 1)**2/13
Solve 3*h**3 - 177*h**2 + 981*h - 1431 = 0.
3, 53
Suppose 2*a**4 + 50*a**3 + 176*a**2 + 168*a = 0. What is a?
-21, -2, 0
Solve 5*m**4 - 15*m**3 - 60*m**2 + 100*m + 240 = 0.
-2, 3, 4
Factor 5*g**4 - 185*g**3 + 1260*g**2.
5*g**2*(g - 28)*(g - 9)
Factor -32*f**3 + 120*f**2 - 153*f/2 + 27/2.
-(f - 3)*(8*f - 3)**2/2
Let -375*i**3 + 135*i**2 + 1008*i/5 + 192/5 = 0. Calculate i.
-8/25, 1
Factor -3*h**2 + 9*h - 6.
-3*(h - 2)*(h - 1)
Determine a so that 5*a**5 - 245*a**4 + 2610*a**3 + 9620*a**2 + 6760*a = 0.
-2, -1, 0, 26
Suppose -2*q**4/7 + 15*q**3/7 - 29*q**2/7 + 3*q - 5/7 = 0. Calculate q.
1/2, 1, 5
Let -j**2 + 124*j - 244 = 0. What is j?
2, 122
Find t, given that -3*t**5 + 36*t**4 - 165*t**3 + 360*t**2 - 372*t + 144 = 0.
1, 2, 3, 4
Solve h**2/7 + 240*h/7 + 14400/7 = 0.
-120
Factor f**2/5 - 23*f/5 - 10.
(f - 25)*(f + 2)/5
Suppose -55*d**3 + 540*d**2 - 395*d - 90 = 0. Calculate d.
-2/11, 1, 9
Find r, given that r**2/8 - 5*r/4 - 11/8 = 0.
-1, 11
Factor 2*w**3/17 - 2*w**2 - 76*w/17.
2*w*(w - 19)*(w + 2)/17
Suppose -2*r**5/15 + 2*r**4/3 + 52*r**3/15 - 196*r**2/15 + 206*r/15 - 14/3 = 0. Calculate r.
-5, 1, 7
Factor h**3 + 61*h**2 + 899*h - 961.
(h - 1)*(h + 31)**2
Solve -3*h**2/5 + 6*h/5 + 672/5 = 0 for h.
-14, 16
Solve 2*k**4/3 + 196*k**3/3 + 1600*k**2 - 196*k/3 - 4802/3 = 0.
-49, -1, 1
Suppose 2*j**3/3 + 22*j**2 + 268*j/3 - 112 = 0. Calculate j.
-28, -6, 1
Determine j, given that 10*j**4 + 38*j**3 - 448*j**2 - 872*j + 192 = 0.
-8, -2, 1/5, 6
What is s in -4*s**2 + 320*s + 656 = 0?
-2, 82
Let -5*m**5 - 5*m**4 + 15*m**3 + 5*m**2 - 10*m = 0. What is m?
-2, -1, 0, 1
Let -4*i**4 - 364*i**3 - 3876*i**2 - 6676*i - 3160 = 0. What is i?
-79, -10, -1
What is h in 3*h**3/5 + 9*h**2/5 - 3*h/5 - 9/5 = 0?
-3, -1, 1
Factor -2*g**3/7 + 62*g**2/7 - 32*g + 216/7.
-2*(g - 27)*(g - 2)**2/7
Solve 20*y**5 + 25*y**4 - 35*y**3 - 10*y**2 = 0.
-2, -1/4, 0, 1
Find f, given that 2*f**4/9 + 20*f**3/9 + 16*f**2/9 - 20*f/9 - 2 = 0.
-9, -1, 1
Factor 5*k**2 + 15*k.
5*k*(k + 3)
Let 3*g**3/7 + 81*g**2/7 + 528*g/7 + 108 = 0. Calculate g.
-18, -7, -2
Find q such that 2*q**4 - 12*q**3 - 8*q**2 + 48*q = 0.
-2, 0, 2, 6
Let 2*h**2/7 + 200*h + 35000 = 0. What is h?
-350
Determine u so that 28*u**3 + 216*u**2 + 356*u - 120 = 0.
-5, -3, 2/7
Suppose 2*k**2/9 + 304*k/9 - 34 = 0. What is k?
-153, 1
Find z, given that z**5 + z**4 - 18*z**3 - 52*z**2 - 40*z = 0.
-2, 0, 5
Let i**3/7 + 573*i**2/7 - 1149*i/7 + 575/7 = 0. What is i?
-575, 1
What is y in -25*y**2 - 2585*y + 1560 = 0?
-104, 3/5
Find o, given that o**2 - 289*o = 0.
0, 289
Solve 10985*p**5 + 40560*p**4 + 5980*p**3 - 141760*p**2 - 199680*p - 81920 = 0.
-2, -16/13, 2
Find x such that 5*x**5 - 15*x**4 + 5*x**3 + 15*x**2 - 10*x = 0.
-1, 0, 1, 2
Let 9*j**3/10 - 16*j**2 - 9*j/10 + 16 = 0. Calculate j.
-1, 1, 160/9
Determine c, given that -c**3 - 20*c**2 - 37*c - 18 = 0.
-18, -1
Factor -q**2/2 + 127*q/2 + 1812.
-(q - 151)*(q + 24)/2
Factor -r**4/2 + 223*r**3/2 + 113*r**2 - 224*r.
-r*(r - 224)*(r - 1)*(r + 2)/2
Suppose -k**3/2 + 39*k**2/2 - 132*k + 248 = 0. What is k?
4, 31
What is b in b**5/6 + 2*b**4/3 - 3*b**3 - 18*b**2 - 45*b/2 = 0?
-3, 0, 5
Factor -2*g**5/3 - 4*g**4/3 + 8*g**3/3 + 16*g**2/3.
-2*g**2*(g - 2)*(g + 2)**2/3
Let -3*i**2/7 + 3*i - 18/7 = 0. What is i?
1, 6
Let -2*j**2 + 70*j + 72 = 0. What is j?
-1, 36
Factor 28*c**3 + 281*c**2 + 710*c + 25.
(c + 5)**2*(28*c + 1)
Determine a, given that -14*a**5 + 1140*a**4 - 167896*a**3/7 + 215696*a**2/7 + 165120*a/7 + 25600/7 = 0.
-2/7, 2, 40
Factor 2*f**2 - 176*f + 830.
2*(f - 83)*(f - 5)
Determine v, given that -3*v**3 - 84*v**2 - 156*v = 0.
-26, -2, 0
What is n in 2*n**2 + 26*n + 80 = 0?
-8, -5
Suppose 2*u**2/5 + 6*u/5 - 8/5 = 0. What is u?
-4, 1
Determine l, given that 378*l**3 - 425