2/3, 20
Find f such that 2*f**3/13 - 12996*f**2/13 + 21112002*f/13 = 0.
0, 3249
Let 8*y**4/3 - 124*y**3/3 - 320*y**2 + 228*y + 504 = 0. Calculate y.
-6, -1, 3/2, 21
Solve q**3 - 20*q**2 - 21*q = 0.
-1, 0, 21
Determine l so that -2*l**5 + 26*l**3 - 32*l**2 - 24*l + 32 = 0.
-4, -1, 1, 2
Factor l**4/3 + 34*l**3 + 100*l**2/3 - 34*l - 101/3.
(l - 1)*(l + 1)**2*(l + 101)/3
What is j in -2*j**2/13 + 20164*j/13 - 50823362/13 = 0?
5041
Factor -4*q**2/7 + 4*q/7.
-4*q*(q - 1)/7
Determine y, given that y**4/11 - 12*y**3/11 - 13*y**2/11 = 0.
-1, 0, 13
Factor 3*c**2/5 + 42*c/5.
3*c*(c + 14)/5
Determine f so that -45*f**5/4 + 39*f**4/4 + 24*f**3 + 3*f**2 = 0.
-1, -2/15, 0, 2
Factor 12*a**4 + 272*a**3 + 2012*a**2 + 5112*a + 2592.
4*(a + 4)*(a + 9)**2*(3*a + 2)
Factor 2*r**2 - 118*r + 228.
2*(r - 57)*(r - 2)
Let 7*d**4/5 + d**3 - 16*d**2/5 + 4*d/5 = 0. What is d?
-2, 0, 2/7, 1
What is a in -a**2 - 950*a - 225625 = 0?
-475
Find a such that -3*a**4/5 - 12*a**3/5 + 6*a**2/5 + 36*a/5 - 27/5 = 0.
-3, 1
Let 2*z**3/9 + 50*z**2/9 - 176*z/9 - 224/9 = 0. Calculate z.
-28, -1, 4
Factor 3*t**3 - 39*t**2 - 48*t + 84.
3*(t - 14)*(t - 1)*(t + 2)
Determine b so that 3*b**4/2 - 69*b**3/2 - 87*b**2/2 + 369*b/2 - 108 = 0.
-3, 1, 24
Factor -2*v**2/9 - 32*v + 290/9.
-2*(v - 1)*(v + 145)/9
Factor 2*l**2/3 + 4*l - 14/3.
2*(l - 1)*(l + 7)/3
Solve 2*l**5/3 - 58*l**4/3 + 668*l**3/3 - 3820*l**2/3 + 10850*l/3 - 12250/3 = 0 for l.
5, 7
Factor -2*b**4 + 4*b**3 + 38*b**2 - 40*b.
-2*b*(b - 5)*(b - 1)*(b + 4)
Find v, given that -5*v**4 + 8890*v**3 - 8885*v**2 = 0.
0, 1, 1777
Let -r**4 - 86*r**3 - 331*r**2 - 246*r = 0. Calculate r.
-82, -3, -1, 0
Solve -3*k**4 + 1620*k**3 - 6447*k**2 + 8046*k - 3216 = 0 for k.
1, 2, 536
Determine b so that b**2 + 9*b + 14 = 0.
-7, -2
Suppose f**5/5 - 13*f**4/5 + 47*f**3/5 - 59*f**2/5 + 24*f/5 = 0. Calculate f.
0, 1, 3, 8
Factor -3*o**4 - 12*o**3 + 36*o**2.
-3*o**2*(o - 2)*(o + 6)
Factor y**4/4 - 15*y**3/4 - 25*y**2.
y**2*(y - 20)*(y + 5)/4
What is z in -2*z**2/15 - 3224*z/5 - 3897816/5 = 0?
-2418
Factor -31*n**3/6 + 3*n**2 + 62*n/3 - 12.
-(n - 2)*(n + 2)*(31*n - 18)/6
Factor 5*x**2 + 3615*x.
5*x*(x + 723)
Find r, given that -6*r**2 - 2829*r - 1413 = 0.
-471, -1/2
Factor -5*j**4 - 1050*j**3 - 54065*j**2 + 111300*j - 56180.
-5*(j - 1)**2*(j + 106)**2
Factor 2*b**4/9 + 34*b**3/9 + 52*b**2/3 + 64*b/9 - 256/9.
2*(b - 1)*(b + 2)*(b + 8)**2/9
Factor 5*s**4/2 - 8*s**3 - 17*s**2/2 + 2*s.
s*(s - 4)*(s + 1)*(5*s - 1)/2
Solve 2*n**4/7 + 10*n**3 + 624*n**2/7 + 424*n/7 - 160 = 0.
-20, -14, -2, 1
What is j in -2*j**3 - 20*j**2 = 0?
-10, 0
Factor 12*t**3/5 + 21*t**2 - 27*t/5.
3*t*(t + 9)*(4*t - 1)/5
Let 5*l**5 + 120*l**4 - 130*l**3 - 120*l**2 + 125*l = 0. What is l?
-25, -1, 0, 1
Factor -2*r**4/17 + 22*r**3/17 - 20*r**2/17.
-2*r**2*(r - 10)*(r - 1)/17
Factor -5*n**5/6 + 22465*n**4/6 + 14985*n**3 + 67445*n**2/3 + 89935*n/6 + 7495/2.
-5*(n - 4497)*(n + 1)**4/6
Let 72*q**4 - 390*q**3 - 279*q**2 + 165*q - 18 = 0. What is q?
-1, 1/6, 1/4, 6
Solve -162*u**4/7 + 126*u**3 + 1900*u**2/7 - 968*u/7 + 16 = 0.
-2, 2/9, 7
Let 4*n**4/5 + n**3/5 - 36*n**2/5 - 9*n/5 = 0. Calculate n.
-3, -1/4, 0, 3
What is k in 2*k**4/5 - 6*k**3/5 - 42*k**2/5 + 166*k/5 - 24 = 0?
-5, 1, 3, 4
Factor -c**3/3 + c**2/3 + 44*c/3 - 28.
-(c - 6)*(c - 2)*(c + 7)/3
What is c in 5*c**3 - 165*c**2 + 1755*c - 5915 = 0?
7, 13
Determine r, given that 2*r**3 + 340*r**2 - 346*r - 684 = 0.
-171, -1, 2
Factor -4*j**2/3 + 56*j/3.
-4*j*(j - 14)/3
Determine g, given that 9*g**4/5 - 474*g**3 + 3133*g**2/5 + 576*g + 524/5 = 0.
-1/3, 2, 262
Solve -5*f**5/3 + 85*f**4/3 - 155*f**3 + 875*f**2/3 - 490*f/3 = 0 for f.
0, 1, 2, 7
Solve 2*c**2/5 + 804*c/5 + 80802/5 = 0.
-201
Factor 2*t**5/9 - 38*t**4/9 + 70*t**3/3 - 98*t**2/9 - 1372*t/9.
2*t*(t - 7)**3*(t + 2)/9
Suppose 3*r**2 + 438*r + 15987 = 0. What is r?
-73
Solve 5*l**3/4 + 35*l**2/4 - 25*l/2 - 20 = 0.
-8, -1, 2
Factor -2*w**3/5 - 816*w**2/5 - 110976*w/5 - 5030912/5.
-2*(w + 136)**3/5
Factor 2*b**2/7 + 172*b/7 + 3698/7.
2*(b + 43)**2/7
Find o, given that 12*o**3/17 - 118*o**2/17 - 20*o/17 = 0.
-1/6, 0, 10
Let -4*f**4 - 116*f**3 + 420*f**2 + 1172*f + 640 = 0. Calculate f.
-32, -1, 5
Find o, given that -4*o**4 + 92*o**3 - 444*o**2 + 612*o = 0.
0, 3, 17
Factor -f**2/5 - 53*f/5 - 102/5.
-(f + 2)*(f + 51)/5
Factor w**2/5 + 8*w/5 + 3.
(w + 3)*(w + 5)/5
Solve -2*l**4 - 68*l**3 - 538*l**2 + 272*l + 2184 = 0.
-21, -13, -2, 2
Solve -m**2 + 43*m = 0 for m.
0, 43
Solve -d**4/4 - d**3/4 + 17*d**2/4 + 21*d/4 - 9 = 0.
-3, 1, 4
Factor -v**2 - 8*v - 7.
-(v + 1)*(v + 7)
Solve -4*u**2/3 - 1852*u/3 + 3752 = 0.
-469, 6
Factor d**4 + 37*d**3 + 295*d**2 + 675*d.
d*(d + 5)**2*(d + 27)
Factor 5*k**3 - 90*k**2 - 105*k + 190.
5*(k - 19)*(k - 1)*(k + 2)
What is h in -3*h**4/5 - 3*h**3/5 + 6*h**2 - 24*h/5 = 0?
-4, 0, 1, 2
Factor 3*a**4 + 18*a**3 + 24*a**2 - 18*a - 27.
3*(a - 1)*(a + 1)*(a + 3)**2
Solve -r**2/10 + 43*r/5 + 88/5 = 0 for r.
-2, 88
Let -3*p**4/10 - 17*p**3/2 - 91*p**2/5 + 2*p/5 + 52/5 = 0. What is p?
-26, -2, -1, 2/3
Factor h**2 - 531*h + 530.
(h - 530)*(h - 1)
Solve -2*g**3/7 - 4*g**2/7 + 200*g/7 + 400/7 = 0 for g.
-10, -2, 10
Solve -2*r**4/7 + 30*r**3/7 - 54*r**2/7 + 26*r/7 = 0.
0, 1, 13
Let 2*s**3/13 + 16*s**2 + 4730*s/13 - 36300/13 = 0. Calculate s.
-55, 6
Factor -10*k**4 + 35*k**3 + 140*k**2 + 60*k.
-5*k*(k - 6)*(k + 2)*(2*k + 1)
Factor -z**3/5 - 23*z**2/5 + 104*z/5 - 108/5.
-(z - 2)**2*(z + 27)/5
Factor 4*q**3 + 28*q**2 - 160*q + 176.
4*(q - 2)**2*(q + 11)
Factor -r**4 + 30*r**3 + 171*r**2 + 140*r.
-r*(r - 35)*(r + 1)*(r + 4)
Find n, given that -n**2/3 - 8*n = 0.
-24, 0
Solve 3*u**5 + 87*u**4 - 3*u**3 - 87*u**2 = 0.
-29, -1, 0, 1
Factor -2*y**4 + 754*y**3 - 2250*y**2 + 2246*y - 748.
-2*(y - 374)*(y - 1)**3
Suppose 6*t**5 + 34*t**4 + 4*t**3 - 80*t**2 = 0. Calculate t.
-5, -2, 0, 4/3
Factor 2*f**4/13 + 744*f**3/13 + 103788*f**2/13 + 6434856*f/13 + 149610402/13.
2*(f + 93)**4/13
Factor -4*v**2 - 136*v - 1156.
-4*(v + 17)**2
Factor -6*n**3 - 52*n**2 + 88*n + 80.
-2*(n - 2)*(n + 10)*(3*n + 2)
Suppose -4*z**3 + 120*z**2 - 516*z + 400 = 0. What is z?
1, 4, 25
Factor -3*q**4 - 6*q**3 + 3*q**2 + 6*q.
-3*q*(q - 1)*(q + 1)*(q + 2)
Determine b, given that 2*b**2/7 + 48*b/7 - 50/7 = 0.
-25, 1
Determine x, given that -2*x**4 - 72*x**3 - 776*x**2 - 2304*x - 2048 = 0.
-16, -2
Determine f, given that -4*f**3 + 232*f**2 + 480*f = 0.
-2, 0, 60
Factor -2*y**3/9 - 110*y**2/9 + 2*y/9 + 110/9.
-2*(y - 1)*(y + 1)*(y + 55)/9
Factor -4*j**4 - 16*j**3 - 8*j**2 + 16*j + 12.
-4*(j - 1)*(j + 1)**2*(j + 3)
Let 3*v**4/5 - 696*v**3/5 - 3*v**2/5 + 696*v/5 = 0. What is v?
-1, 0, 1, 232
Solve 75*y**5 - 1260*y**4 + 4347*y**3 + 9258*y**2 - 9180*y + 1944 = 0.
-2, 2/5, 9
Determine z, given that -2*z**5/5 + 26*z**4/5 + 6*z**3 - 26*z**2/5 - 28*z/5 = 0.
-1, 0, 1, 14
Factor -4*a**3/7 + 148*a**2/7 + 16*a/7 - 592/7.
-4*(a - 37)*(a - 2)*(a + 2)/7
Factor -4*n**4 + 7484*n**3 - 4665024*n**2 + 967209984*n + 971882496.
-4*(n - 624)**3*(n + 1)
Let -2*u**2/7 + 102*u/7 - 988/7 = 0. What is u?
13, 38
Determine b so that -b**3 - 30*b**2 - 225*b = 0.
-15, 0
Factor p**3 + 1857*p**2 + 1149483*p + 237176659.
(p + 619)**3
Let -3*q**2 - 54*q + 120 = 0. Calculate q.
-20, 2
Factor 4*y**2 + 1580*y - 1584.
4*(y - 1)*(y + 396)
Determine x so that 5*x**5 - 5*x**4 - 45*x**3 + 25*x**2 + 80*x - 60 = 0.
-2, 1, 3
Let 4*z**2/9 + 848*z/9 + 44944/9 = 0. Calculate z.
-106
Factor -l**3 - 6*l**2 - 5*l + 12.
-(l - 1)*(l + 3)*(l + 4)
Let -5*b**3 + 10*b**2 + 320*b + 800 = 0. Calculate b.
-4, 10
Factor -2*f**4 + 888*f**3 + 10848*f**2 + 43648*f + 58368.
-2*(f - 456)*(f + 4)**3
Suppose 2*z**3 - 22*z**2 - 80*z - 56 = 0. Calculate z.
-2, -1, 14
Solve -b**4 - 8*b**3 + 62*b**2 - 48*b - 117 = 0 for b.
-13, -1, 3
Factor -4*y**2 - 40*y + 96.
-4*(y - 2)*(y + 12)
Let -2*d**3/19 + 18*d**2/19 - 28*d/19 = 0. Calculate d.
0, 2, 7
Suppose 3*t**4/2 - 45*t**3/2 + 39*t**2/2 + 45*t/2 - 21 = 0. What is t?
-1, 1, 14
Let -2*t**2/11 - 4012*t/11 - 2012018/11 = 0. What is t?
-1003
Solve 2*s**4/5 - 2*s**3/5 - 2*s**2/5 + 2*s/5 = 0 for s.
-1, 0, 1
Solve -15*a**5 + 130*a**4 + 375*a**3 - 1690*a**2 - 600*a = 0 for a.
-4, -1/3, 0, 3, 10
Solve -9*i**3 + 39*i**2 - 39*i + 9 = 0 for i.
1/3, 1, 3
Factor p**5 + 76*p**4 + 1788*p**3 + 9234*p**2 - 85293*p + 118098.
(p - 3)*(p - 2)*(p + 27)**3
Suppose 5*y**5 + 35*y*