 Factor m(x).
-2*(x - 4)*(x + 1)**2*(x + 2)
Let y be (2038/(-8152))/(((-2)/(-32))/(2/(-12))). Factor -2/3*b**3 + y*b**2 + 0*b + 1/6*b**4 + 0.
b**2*(b - 2)**2/6
Suppose 0*j - 2*j + 10 = 0. Suppose 3*q + 2*l - l = 27, l + j = q. Find i, given that -q - i**2 - i + 11 + i**3 - 2 = 0.
-1, 1
Let x = 18965 - 113789/6. Factor x*c**2 - c + 5/6.
(c - 5)*(c - 1)/6
Suppose -5*a + 28 = 3*h - 4, h - 5*a - 4 = 0. Factor 9*j**2 + 5*j**2 - 7 + 5*j**3 - h*j**2 + 2 - 5*j.
5*(j - 1)*(j + 1)**2
Factor -101/9*a - 22/9 - a**2.
-(a + 11)*(9*a + 2)/9
Suppose 4*c - 20 = -z, 2*z + c = z + 17. What is p in 16*p - 2*p + 29*p - 75*p - 2*p**3 - z*p**2 = 0?
-4, 0
Let w(v) be the first derivative of 2/21*v**3 + 8 - 4/7*v + 1/7*v**2. Factor w(s).
2*(s - 1)*(s + 2)/7
Let m(f) be the second derivative of f**4/20 - 2*f**3/5 + 9*f**2/10 - 98*f. Suppose m(j) = 0. What is j?
1, 3
Suppose 0 = -41*v - 0*v + 123. Let i(x) be the first derivative of -1/12*x**4 + 4 - 1/9*x**v + 1/3*x**2 + 0*x. Solve i(w) = 0.
-2, 0, 1
Let d(c) = 2*c + 27. Let i be d(11). Let v = 52 - i. Let 1/2*g**2 + 0 + 0*g + 1/2*g**v = 0. Calculate g.
-1, 0
Determine q so that 8/7*q**3 + 22/7*q**2 + 12/7*q - 2/7*q**4 + 0 = 0.
-1, 0, 6
Let s be (-5)/(-7 - (2 - 8)). Let j(m) be the second derivative of 0*m**2 + 0*m**6 - 1/10*m**s + 0 + 4*m + 1/6*m**3 + 1/42*m**7 + 0*m**4. Factor j(u).
u*(u - 1)**2*(u + 1)**2
Let v = -138/11 - -13. Let i(r) be the first derivative of -v*r**2 - 4/11*r + 1/22*r**4 + 2/55*r**5 + 1 - 2/11*r**3. What is q in i(q) = 0?
-1, 2
Let r = -245 - -247. Let j(i) be the first derivative of 0*i + 5 + 0*i**3 - 1/3*i**6 - 1/2*i**4 + 4/5*i**5 + 0*i**r. Factor j(t).
-2*t**3*(t - 1)**2
Let u = 4315/6 + -719. Suppose u*x**3 + 1/3 + 0*x**2 - 1/2*x = 0. What is x?
-2, 1
Let u(o) be the first derivative of -10*o**2 + 20/3*o + 6 + 25/9*o**3. Find j such that u(j) = 0.
2/5, 2
Let j be 2/7 - (-102)/(-14). Let v = -6 - j. Solve 12*n**3 - 13*n**2 - 2*n**3 + 2*n**3 - 4*n**4 - v + 6*n = 0 for n.
1/2, 1
Let a(i) be the second derivative of i**5/20 + i**4/9 - 2*i**3/9 + 7*i - 4. Factor a(t).
t*(t + 2)*(3*t - 2)/3
Let c = -39739/220 + 2323/11. Let w = 123/4 - c. Let 0*i - 3/5*i**3 - w*i**2 + 0 - 3/5*i**4 - 1/5*i**5 = 0. Calculate i.
-1, 0
Let -1/3*j**2 - 14/3 + 5*j = 0. Calculate j.
1, 14
Let m(q) be the third derivative of 0 + 0*q**3 + 27*q**2 + 0*q + 1/24*q**6 + 5/6*q**4 - 5/12*q**5. Factor m(g).
5*g*(g - 4)*(g - 1)
Let i(f) = f**2 - 44*f + 84. Let b be i(42). Let c(g) be the second derivative of 1/66*g**4 + 4*g + 0*g**3 + b*g**2 + 0. Determine d, given that c(d) = 0.
0
Factor 199/3*j - 1/2*j**2 - 44.
-(j - 132)*(3*j - 2)/6
Suppose 96 = -17*s + 41*s. Let x(g) be the first derivative of 1/4*g**s - 2/3*g**3 - 5 + 2*g - 1/2*g**2. Factor x(k).
(k - 2)*(k - 1)*(k + 1)
Let h(f) be the first derivative of -2*f**6/15 + 12*f**5/25 + 2*f**4/5 - 16*f**3/5 + 16*f**2/5 + 49. Solve h(z) = 0.
-2, 0, 1, 2
Let z be (-1946)/(-98)*(-1)/3 + 2 + 5. Determine f, given that 2/21 - z*f + 2/21*f**4 - 8/21*f**3 + 4/7*f**2 = 0.
1
Let l = 439 - 258. Let c = l - 359/2. What is i in c*i - 9/2*i**2 + 3/2*i**4 + 3 - 3/2*i**3 = 0?
-1, 1, 2
Determine m so that 310*m**2 + 315*m**2 - 622*m**2 = 0.
0
What is a in 4/3*a + 142/3*a**3 + 0 - 146/3*a**2 = 0?
0, 2/71, 1
Let n be (-93)/(-18) + (-55)/22. Let k(u) be the first derivative of 1/6*u**2 - 11 + 23/6*u**4 - 2/3*u + 34/15*u**5 + n*u**3 + 1/2*u**6. What is f in k(f) = 0?
-1, 2/9
Suppose -2*v - 4*v = -12. Solve 41*b + 196 + 183*b**v - 179*b**2 + 15*b = 0.
-7
Suppose 5*y**4 + 791 + 40*y**2 + 30*y + 759 - 1595 - 30*y**3 = 0. Calculate y.
-1, 1, 3
Let j(g) be the first derivative of 7*g**5/10 + 65*g**4/8 + 41*g**3/2 + 79*g**2/4 + 7*g + 681. Factor j(r).
(r + 1)**2*(r + 7)*(7*r + 2)/2
Find h such that 12*h**3 - h**3 + 10*h**2 + 12933*h - 12941*h - 9 - h**4 - 3*h**3 = 0.
-1, 1, 9
Suppose -5*g + 21 = -y, -4*y - y + 3 = 2*g. Let a be 0 - 6/2*y. Solve v**3 + 4 - 3*v**a + 17*v + 8*v**2 - 27*v = 0.
1, 2
Let j(h) be the first derivative of 1/8*h**4 + 3/2*h**2 - 5/6*h**3 - 7 + 0*h. What is c in j(c) = 0?
0, 2, 3
Let i(p) be the third derivative of -p**5/40 - 11*p**4/16 - 9*p**3/2 + 16*p**2 + p. Factor i(j).
-3*(j + 2)*(j + 9)/2
Suppose s - 3*l + 7 = 0, -343 = -3*s - 3*l - 328. Factor 2/7*h - 4/7*h**s + 0.
-2*h*(2*h - 1)/7
Let c(z) be the first derivative of z**6/180 - 3*z**5/80 + z**4/24 + 16*z**3/3 - 5. Let j(m) be the third derivative of c(m). Let j(o) = 0. Calculate o.
1/4, 2
Suppose o = -2*c + 12, -3*c = 2*o - 6*c + 4. Let l(v) = -v + 5. Let q be l(o). Factor -1/4*n**2 + q + 0*n.
-(n - 2)*(n + 2)/4
Let m(u) = 80*u**4 + 443*u**3 - 254*u**2 + 22*u + 18. Let a(i) = -41*i**4 - 221*i**3 + 128*i**2 - 12*i - 8. Let n(w) = 9*a(w) + 4*m(w). Factor n(b).
-b*(b + 5)*(7*b - 2)**2
Factor -2/9*z**3 - 8*z + 8/3*z**2 + 64/9.
-2*(z - 8)*(z - 2)**2/9
Let w(f) be the first derivative of f**8/1120 + f**7/280 - f**6/80 - f**3/3 + 12. Let h(u) be the third derivative of w(u). Factor h(o).
3*o**2*(o - 1)*(o + 3)/2
What is i in -4*i**3 - 1/4*i**4 + 0*i - 15/4*i**2 + 0 = 0?
-15, -1, 0
Let f be (4*5/60)/(1/9). Let k = 3 + 0. Factor -c**2 + 0*c**2 - 5*c**2 + f*c**k + 3*c.
3*c*(c - 1)**2
Let b = -947 - -949. Suppose -4/7*v**b - 144/7 - 48/7*v = 0. What is v?
-6
Factor -13*w**2 - 85*w + 95 - 9*w + 12*w**2.
-(w - 1)*(w + 95)
Let a be 4*((-18)/4)/(-9). Factor 3*w**2 + 8*w**4 - 7*w**5 - 9*w**2 + 6*w**3 - 2*w - w**5 + 2*w**a.
-2*w*(w - 1)**2*(2*w + 1)**2
Let -1707*a + 3*a**3 + 7*a**2 + 3 - 6 + 1700*a = 0. What is a?
-3, -1/3, 1
Let u(b) = 7*b - 45. Let o be u(7). Suppose -p - f = o*p - 17, 3*f + 9 = 0. Factor 1/2*k**3 + 1/2*k**2 + 1/8*k**p + 0 + 0*k.
k**2*(k + 2)**2/8
Let v(u) = -u**2 - 35*u + 86. Let z(s) = -18*s + 42. Let l(o) = 3*v(o) - 7*z(o). Factor l(d).
-3*(d - 4)*(d - 3)
Let x(s) be the first derivative of s**6/900 - s**5/300 - s**4/30 + 10*s**3/3 - 37. Let n(m) be the third derivative of x(m). Factor n(g).
2*(g - 2)*(g + 1)/5
Let m(p) = p**3 + 12*p**2 - 10*p + 40. Let q be m(-13). Let f be (q - 1)*5/10. Solve -1/8*w - 1/8*w**4 + f - 3/8*w**3 - 3/8*w**2 = 0 for w.
-1, 0
Let t(b) be the second derivative of 0*b**4 - 1/30*b**5 + b - 2/45*b**6 - 1/63*b**7 + 0 + 0*b**2 + 0*b**3. Factor t(p).
-2*p**3*(p + 1)**2/3
Suppose 3*q + 6*q = 126. Determine b, given that -5*b**2 + q + 5*b - 21*b - 19 + 2*b**2 = 0.
-5, -1/3
Suppose -4*q = 4*v - 15 + 263, 5*q - 80 = v. Let k be v/(-28) + 2/8. Factor -2/7 - 12/7*w - k*w**2.
-2*(3*w + 1)**2/7
Factor 0 + 16/7*p**2 + 4/7*p**3 + 16/7*p.
4*p*(p + 2)**2/7
Let f = -47 - -54. Let r be (4/18)/((42/18)/f). Let -16*l**3 - 32/3*l**4 - r*l + 0 - 6*l**2 = 0. Calculate l.
-1, -1/4, 0
Let v(n) be the first derivative of n**6/2 - 9*n**5/5 - 27*n**4/2 - 4*n**3 + 36*n**2 + 193. Factor v(o).
3*o*(o - 6)*(o - 1)*(o + 2)**2
Factor 28/5*z**2 - 1/5*z + 0.
z*(28*z - 1)/5
Let q(h) = -292*h**2 + 321*h - 120. Let j(g) = -195*g**2 + 210*g - 80. Let a(i) = 7*j(i) - 5*q(i). Find c, given that a(c) = 0.
8/19, 1
Let o be -3 + 75/(-250)*-50. Suppose 9/4 + 3/2*m**3 + o*m - 35/4*m**2 = 0. What is m?
-1/6, 3
Let x(l) be the first derivative of l**4/12 - 4*l**3/9 + 130. Let x(m) = 0. What is m?
0, 4
Factor 68*n**3 - 108 - 35*n**3 - 37*n**3 + 4*n + 108*n**2.
-4*(n - 27)*(n - 1)*(n + 1)
Let c(w) = -750*w**3 - 462*w**2 + 1920*w - 609. Let a(h) = -47*h**3 - 29*h**2 + 120*h - 38. Let y(d) = -33*a(d) + 2*c(d). Find n, given that y(n) = 0.
-2, 6/17, 1
Determine s, given that 1/2*s**2 + s**3 - 1/2 + 0*s**4 - 1/4*s**5 - 3/4*s = 0.
-1, 1, 2
Let d be 2/10 + 311/45 + -7. Let v(j) be the first derivative of -6 + 2/27*j**3 - 4/9*j + d*j**2. Factor v(t).
2*(t - 1)*(t + 2)/9
Let q be (-1 - (-4 - -4))*1. Let y be q*(5 + -3 - 3). Let -y + 1/3*n**3 + n**2 - 1/3*n = 0. What is n?
-3, -1, 1
Let w(q) be the third derivative of q**7/42 - q**6/3 + 11*q**5/12 + 25*q**4/6 + q**2 + 27*q. Factor w(x).
5*x*(x - 5)*(x - 4)*(x + 1)
Suppose -70 = -7*m - 44*m + 16*m. What is z in 2*z - 8/5 - 2/5*z**m = 0?
1, 4
Let g(o) be the first derivative of o**5/5 + o**4 + 5*o**3/3 + o**2 + 67. Let g(s) = 0. What is s?
-2, -1, 0
Let v(m) be the first derivative of -m**6/120 - m**5/30 + 23*m**2/2 + 40. Let d(z) be the second derivative of v(z). Factor d(x).
-x**2*(x + 2)
What is n in 0 - 3*n**3 - 36*n - 3/2*n**4 + 30*n**2 = 0?
-6, 0, 2
Let d(a) = a**3. Let w = 16 + -17. Let f(l) = 12*