m - 2)*(m + 12)
Factor 2*l**3 + 1080*l**2 + 194400*l + 11664000.
2*(l + 180)**3
Let -14*y**2/9 - 1478*y/3 + 1268/9 = 0. Calculate y.
-317, 2/7
Determine z, given that -5*z**2 + 710*z - 25205 = 0.
71
Factor -2*w**4/7 - 76*w**3/7 + 3960*w**2/7 - 48884*w/7 + 189002/7.
-2*(w - 11)**3*(w + 71)/7
What is m in m**3/2 - 59*m**2/2 - 30*m = 0?
-1, 0, 60
Determine q, given that 3*q**3 - 5823*q**2 + 3767481*q - 812520069 = 0.
647
Let v**3/5 - 49*v**2/5 = 0. Calculate v.
0, 49
Let 2*t**4/3 - 10*t**3/3 - 34*t**2/3 + 14*t = 0. What is t?
-3, 0, 1, 7
Determine g so that 33*g**3/4 - 447*g**2/2 + 81*g/4 = 0.
0, 1/11, 27
Factor -2*l**5/3 - 1162*l**4/3 - 225812*l**3/3 - 14826260*l**2/3 - 28979722*l/3 - 14378114/3.
-2*(l + 1)**2*(l + 193)**3/3
Factor -f**3/3 + 3*f**2 - 2*f - 16/3.
-(f - 8)*(f - 2)*(f + 1)/3
Solve -3*j**2 - 387*j + 2856 = 0 for j.
-136, 7
Factor 2*w**2/13 + 38*w/13 + 96/13.
2*(w + 3)*(w + 16)/13
Factor -3*u**2 - 4827*u.
-3*u*(u + 1609)
Solve -2*k**3/7 + 18*k**2/7 - 52*k/7 + 48/7 = 0 for k.
2, 3, 4
Determine l so that 3*l**4 - 123*l**3 - 7839*l**2 - 115089*l - 527280 = 0.
-13, 80
Find g such that -5*g**4 + 170*g**3 - 1240*g**2 + 2950*g - 1875 = 0.
1, 3, 5, 25
Factor w**4/4 - 13*w**3/4 - 15*w**2/4 + 13*w/4 + 7/2.
(w - 14)*(w - 1)*(w + 1)**2/4
Factor -2*s**5/3 + 2*s**3/3.
-2*s**3*(s - 1)*(s + 1)/3
Factor o**3/5 + 9*o**2/5 + 8*o/5.
o*(o + 1)*(o + 8)/5
Let 12*l**2/13 + 178*l/13 - 224/13 = 0. What is l?
-16, 7/6
Let 2*u**4/13 + 54*u**3/13 + 250*u**2/13 - 150*u - 4500/13 = 0. Calculate u.
-15, -2, 5
Suppose 12*l**2 + 6198*l + 3201267/4 = 0. What is l?
-1033/4
Determine p, given that -11*p**2/9 - 10*p/9 + 7/3 = 0.
-21/11, 1
Factor s**4/5 + 4*s**3/5 - 6*s**2/5 - 4*s/5 + 1.
(s - 1)**2*(s + 1)*(s + 5)/5
Factor 2*i**2/3 + 556*i/3 - 186.
2*(i - 1)*(i + 279)/3
Factor k**4/5 - 17*k**3/5 + 56*k**2/5 - 52*k/5.
k*(k - 13)*(k - 2)**2/5
Factor -b**3 - 199*b**2 - 395*b - 197.
-(b + 1)**2*(b + 197)
Solve 2*t**4/3 - 54*t**3 - 682*t**2/3 + 54*t + 680/3 = 0 for t.
-4, -1, 1, 85
Factor -3*i**2/8 + 105*i/8 + 27/2.
-3*(i - 36)*(i + 1)/8
Factor -i**2/4 + 129*i/2 - 257/4.
-(i - 257)*(i - 1)/4
Let 4*n**4 + 8*n**3 - 36*n**2 - 8*n + 32 = 0. Calculate n.
-4, -1, 1, 2
Suppose -3*i**2 - 3*i + 60 = 0. What is i?
-5, 4
Let -4*j**4/5 + 8*j**3 - 132*j**2/5 + 32*j - 64/5 = 0. What is j?
1, 4
Factor -3*m**5/4 + 141*m**4/2 - 8643*m**3/4 + 20040*m**2 + 46848*m + 24576.
-3*(m - 32)**3*(m + 1)**2/4
Solve -4*n**3 - 36*n**2 - 56*n + 96 = 0 for n.
-6, -4, 1
Determine w, given that -w**4 - 45*w**3 + 48*w**2 + 92*w = 0.
-46, -1, 0, 2
Factor -2*i**2/7 - 12*i/7 - 10/7.
-2*(i + 1)*(i + 5)/7
Factor -150*m**2 - 3*m.
-3*m*(50*m + 1)
Solve 5*p**2/2 - 5*p - 20 = 0 for p.
-2, 4
Factor -3*j**2/4 - 101*j/4 + 17/2.
-(j + 34)*(3*j - 1)/4
Let 5*m**4 + 70*m**3 + 75*m**2 - 990*m = 0. What is m?
-11, -6, 0, 3
Factor 18*q**4 + 60*q**3 + 133*q**2/2 + 49*q/2.
q*(q + 1)*(6*q + 7)**2/2
Factor 3*n**4 + 72*n**3 + 429*n**2 - 72*n - 432.
3*(n - 1)*(n + 1)*(n + 12)**2
Let 2*c**4/3 - 50*c**3/3 + 458*c**2/3 - 610*c + 900 = 0. Calculate c.
5, 6, 9
Let 3*m**5/7 - 51*m**4/7 - 306*m**3/7 - 516*m**2/7 - 264*m/7 = 0. Calculate m.
-2, -1, 0, 22
Factor -4*s**2 + 44*s + 104.
-4*(s - 13)*(s + 2)
Factor 2*j**2/5 - 2200*j + 3025000.
2*(j - 2750)**2/5
Suppose -4*u**3 + 416*u**2 - 11600*u + 40000 = 0. What is u?
4, 50
Let -3*j**2 - 2313*j + 4638 = 0. What is j?
-773, 2
Solve r**2/11 + 200*r/11 + 199/11 = 0 for r.
-199, -1
Factor a**4/2 - 6*a**3 + 45*a**2/2 - 27*a.
a*(a - 6)*(a - 3)**2/2
Determine y, given that 8*y**4 - 52*y**3 - 768*y**2 + 1228*y - 416 = 0.
-8, 1/2, 1, 13
Suppose 5*v**3/2 - 1205*v**2/2 + 36600*v - 36000 = 0. What is v?
1, 120
Let -3*q**2/2 + 237*q/2 - 231 = 0. Calculate q.
2, 77
Factor l**2 - 350*l + 30625.
(l - 175)**2
Determine v, given that -2*v**2/3 - 250*v/3 - 248/3 = 0.
-124, -1
Factor -2*z**3/15 - 6*z**2/5 - 18*z/5 - 18/5.
-2*(z + 3)**3/15
Factor -4*x**2/17 + 14*x/17 + 8/17.
-2*(x - 4)*(2*x + 1)/17
Factor q**2 - 28*q + 52.
(q - 26)*(q - 2)
Factor 3*c**5 - 24*c**4 + 63*c**3 - 66*c**2 + 24*c.
3*c*(c - 4)*(c - 2)*(c - 1)**2
Factor 2*c**2/9 + 122*c/9.
2*c*(c + 61)/9
Factor 3*v**4 + 285*v**3 - 1782*v**2 + 3612*v - 2424.
3*(v - 2)**3*(v + 101)
Solve -4*q**4 + 24*q**3 - 20*q**2 = 0 for q.
0, 1, 5
Suppose -6*z**2/11 - 162*z/11 - 156/11 = 0. Calculate z.
-26, -1
Solve -6*i**4/7 + 208*i**3/7 + 76*i**2/7 - 208*i/7 - 10 = 0 for i.
-1, -1/3, 1, 35
Factor 2*s**2 - 4720*s/3 + 1048.
2*(s - 786)*(3*s - 2)/3
Find s, given that 16*s**5 + 60*s**4 + 38*s**3 + 6*s**2 = 0.
-3, -1/2, -1/4, 0
Factor 2*q**2 - 174*q + 1672.
2*(q - 76)*(q - 11)
Factor 2*v**4 + 42*v**3 + 312*v**2 + 992*v + 1152.
2*(v + 4)**3*(v + 9)
Factor -2*f**4 + 26*f**3 + 2*f**2 - 26*f.
-2*f*(f - 13)*(f - 1)*(f + 1)
Factor 2*f**4 + 20*f**3 - 144*f**2 + 108*f + 270.
2*(f - 3)**2*(f + 1)*(f + 15)
Factor -2*j**3 + 28*j**2 - 86*j + 60.
-2*(j - 10)*(j - 3)*(j - 1)
Suppose -g**4 + 30*g**3/7 + 13*g**2/7 - 132*g/7 + 36/7 = 0. What is g?
-2, 2/7, 3
Determine n, given that -3*n**3 - 21*n**2 + 30*n + 48 = 0.
-8, -1, 2
Factor 4*h**2 + 2908*h.
4*h*(h + 727)
Factor -26*s**2/11 + 8*s - 72/11.
-2*(s - 2)*(13*s - 18)/11
Factor 2*x**3/5 - 4*x**2/5 - 8*x/5 + 16/5.
2*(x - 2)**2*(x + 2)/5
Solve -72*z**2 + 12*z - 1/2 = 0.
1/12
Factor j**2/10 + 431*j/5 + 185761/10.
(j + 431)**2/10
Determine l, given that 18*l**3/7 - 87*l**2/7 + 132*l/7 - 60/7 = 0.
5/6, 2
Let -3*j**4 - 93*j**3 - 261*j**2 - 255*j - 84 = 0. What is j?
-28, -1
Suppose 2*m**4/3 - 56*m**3/3 + 262*m**2/3 + 56*m/3 - 88 = 0. What is m?
-1, 1, 6, 22
Let -3*k**5 - 9*k**4 + 30*k**3 + 90*k**2 - 27*k - 81 = 0. Calculate k.
-3, -1, 1, 3
Factor -w**2/2 + 114*w.
-w*(w - 228)/2
Determine v, given that -2*v**5/11 - 26*v**4/11 - 58*v**3/11 + 26*v**2/11 + 60*v/11 = 0.
-10, -3, -1, 0, 1
Let -3*t**3/8 + 171*t**2/4 - 1260*t + 2352 = 0. What is t?
2, 56
Determine r, given that -3*r**5/7 - 33*r**4/7 - 15*r**3/7 + 141*r**2/7 - 90*r/7 = 0.
-10, -3, 0, 1
Factor -g**2/3 - g.
-g*(g + 3)/3
Suppose g**2 - 82*g + 1681 = 0. What is g?
41
What is n in -30*n**2 + 235*n - 175 = 0?
5/6, 7
Factor z**2 + 76*z + 1444.
(z + 38)**2
Factor -2*w**2/5 + 22*w/5 + 24/5.
-2*(w - 12)*(w + 1)/5
Let -4*l**2 + 184*l = 0. Calculate l.
0, 46
Factor -5*c**4 - 125*c**3 - 1020*c**2 - 2900*c - 2000.
-5*(c + 1)*(c + 4)*(c + 10)**2
Determine a so that 3*a**2/4 - 63*a/2 = 0.
0, 42
What is r in 9*r**3 - 12*r**2 + 3*r = 0?
0, 1/3, 1
Solve -5*u**3 + 155*u**2 - 275*u - 435 = 0.
-1, 3, 29
Suppose 2*v**2/5 + 48*v/5 = 0. Calculate v.
-24, 0
Factor 3*k**4 - 6*k**3 - 12*k**2 + 24*k.
3*k*(k - 2)**2*(k + 2)
Factor 242*r**3/7 - 2860*r**2/7 + 4864*r/7 + 23104/7.
2*(r + 2)*(11*r - 76)**2/7
Determine y so that -3*y**3/5 - 15*y**2 + 3*y/5 + 15 = 0.
-25, -1, 1
Suppose -9*l**5 - 375*l**4 + 918*l**3 - 264*l**2 = 0. What is l?
-44, 0, 1/3, 2
Find h, given that -2*h**4/3 - 14*h**3/3 - 34*h**2/3 - 34*h/3 - 4 = 0.
-3, -2, -1
Factor -50*r**2/7 + 10280*r/7 - 528392/7.
-2*(5*r - 514)**2/7
Suppose -31*z**3 - 189*z**2/2 - 133*z/2 - 3 = 0. Calculate z.
-2, -1, -3/62
Factor -5*g**4 - 5*g**3 + 130*g**2 - 120*g.
-5*g*(g - 4)*(g - 1)*(g + 6)
Factor -k**3 + 3*k**2 + 22*k - 24.
-(k - 6)*(k - 1)*(k + 4)
Suppose 3*f**2/4 + 525*f/4 + 387 = 0. Calculate f.
-172, -3
Solve -o**4 + 9*o**3 - 28*o**2 + 36*o - 16 = 0 for o.
1, 2, 4
Suppose 6*f**5/5 + 4*f**4/5 - 18*f**3/5 + 8*f/5 = 0. Calculate f.
-2, -2/3, 0, 1
Suppose 3*t**5 - 18*t**4 + 39*t**3 - 36*t**2 + 12*t = 0. What is t?
0, 1, 2
Solve 2*f**4 + 218*f**3 - 894*f**2 + 1126*f - 452 = 0 for f.
-113, 1, 2
Let -14*v**4 - 262*v**3 - 1310*v**2 - 738*v + 324 = 0. Calculate v.
-9, -1, 2/7
Factor -4*l**5/5 - 96*l**4 - 13912*l**3/5 + 5856*l**2 - 14884*l/5.
-4*l*(l - 1)**2*(l + 61)**2/5
Solve -f**5/6 - 11*f**4/6 - 47*f**3/6 - 97*f**2/6 - 16*f - 6 = 0.
-3, -2, -1
Determine w so that 3*w**5/5 - 56*w**4/5 + 63*w**3/5 + 1926*w**2/5 + 2592*w/5 - 2592/5 = 0.
-3, 2/3, 12
Solve 2*p**2 + 66*p = 0.
-33, 0
Factor -q**2/3 - 10*q/3 + 11/3.
-(q - 1)*(q + 11)/3
Factor -3*l**3/4 - 63*l**2/4 - 147*l/2 + 90.
-3*(l - 1)*(l + 10)*(l + 12)/4
Find t such that -20*t**4 + 28*t**3 + 112*t**2 - 48*t = 0.
-2, 0, 2/5, 3
Factor q**2/6 + q/2.
q*(q + 3)/6
Factor -y**2 - 30*y/7 - 8/7.
-(y + 4)*(7*y + 2)/7
Factor -3*a**5 + 21*a**4 - 57*a**3 + 75*a**2 - 48*a + 12.
-3*(a - 2)**2*(a - 1)**3
Determine r, given that 5*r**3 - 