/18*k**3 - k. Let i(g) be the first derivative of z(g). Let i(o) = 0. Calculate o.
-1, 0
Let k be 18*(-1)/(-6)*2. Factor -6*l**3 + 17*l + 3*l**3 - 20*l - k*l**2.
-3*l*(l + 1)**2
Let l(o) be the first derivative of -o - 1/8*o**4 + 1/4*o**2 - 1/10*o**5 + 6 + 1/2*o**3. Let l(a) = 0. Calculate a.
-2, -1, 1
Suppose 0 = 5*k - 3*g - 29, -2*k = 4*g + 4 - 0. Let c(f) be the first derivative of 16/5*f**3 + 8/5*f**k + 2/5*f - 2 + 9/5*f**2. Suppose c(n) = 0. Calculate n.
-1, -1/4
Let z(r) be the second derivative of r**4/24 + 3*r**3/4 - 5*r. Determine o, given that z(o) = 0.
-9, 0
Let m be 0*((-9)/3 - -2). Let f = m - -2. Find g such that 1 + 2*g - 5 - 2*g**2 + 4*g**f = 0.
-2, 1
Let j(b) be the third derivative of -b**7/105 + b**6/90 - b**5/270 - 6*b**2. Factor j(p).
-2*p**2*(3*p - 1)**2/9
Factor -4/3*g + 1/3*g**3 + 0 + 0*g**2.
g*(g - 2)*(g + 2)/3
Suppose -4*g + 4 = -6*g. Let u = -2 - g. Suppose 2*r**2 - 6*r + u*r**2 + 2 - 3 + 5 = 0. Calculate r.
1, 2
Let a(h) = -4*h**4 - h**2 + h + 7*h**4 - h**3 - 2*h**4 - 2*h. Let c(l) = 7*l**4 - 6*l**3 - 6*l**2 - 6*l. Let v(g) = -6*a(g) + c(g). Factor v(n).
n**4
Suppose -12*k + 8*k = -8. Let t(g) be the first derivative of -g**k - 3/2*g**4 + 0*g - 2 - 2*g**3 - 2/5*g**5. Factor t(v).
-2*v*(v + 1)**3
Let o(i) = i. Let u(f) = 6*f**2 - 4*f + 1. Let c(q) = -q**2. Let p(v) = 5*c(v) + u(v). Let b(w) = -2*o(w) - p(w). Factor b(m).
-(m - 1)**2
Find p, given that 2/9*p**2 - 2/3*p + 4/9 = 0.
1, 2
Let b(c) be the third derivative of 4*c**2 - 2/3*c**3 + 0 - 1/60*c**5 - 1/6*c**4 + 0*c. Factor b(h).
-(h + 2)**2
Let c(h) be the second derivative of -h**6/30 - 3*h**5/20 - h**4/6 + 9*h. Factor c(m).
-m**2*(m + 1)*(m + 2)
Let n = 55 + -1044/19. Let g = 22/57 - n. Determine v so that -g*v**2 + 1/3*v - 1/3*v**3 + 1/3 = 0.
-1, 1
Factor 3/2 - 96*u**4 + 54*u**2 + 24*u**3 + 33/2*u.
-3*(u - 1)*(4*u + 1)**3/2
Let p be 95/684*12*2/5. Factor -p*x**2 - 4/3 + 2*x.
-2*(x - 2)*(x - 1)/3
Let o(v) be the second derivative of v**3/6 + 9*v**2/2 - 3*v. Let r be o(-6). Factor -2/3*k**r + 0*k**2 + 0 + 2/3*k.
-2*k*(k - 1)*(k + 1)/3
Let p(g) be the second derivative of -5*g**4/12 + 10*g**3/3 - 15*g**2/2 - 6*g. Factor p(w).
-5*(w - 3)*(w - 1)
Factor 3/2*r**2 + 0 + 3/4*r**3 + 0*r.
3*r**2*(r + 2)/4
Let s(a) be the first derivative of a**7/3780 - a**3 + 1. Let r(n) be the third derivative of s(n). Determine z, given that r(z) = 0.
0
Let d be (6/(-45))/((-8)/24). Factor -2/5*l**2 + d + 8/5*l**3 - 8/5*l.
2*(l - 1)*(l + 1)*(4*l - 1)/5
Suppose 2*b - 4 = -0*b. Factor -4*v**2 - 2*v**b + 4*v**2.
-2*v**2
Suppose -17*c + 4*c = 0. Let k(n) be the third derivative of 0*n**4 - 3*n**2 + 1/240*n**5 + 0 + 0*n + c*n**3. Factor k(o).
o**2/4
Suppose 14*v - 2 = 12*v. Let h be 0/(-5) + v/3. Suppose -2/3 + a**2 + h*a = 0. Calculate a.
-1, 2/3
Suppose -s + 10 = 5*c + 3*s, 2*c = -4*s + 4. Find x such that 2*x**c - x**3 + 0*x**2 + 5*x**3 + x - 3*x**3 = 0.
-1, 0
Let q(h) = -h**3 - 3*h**2 - 9*h + 4. Let k(c) = -8*c**3 - 26*c**2 - 80*c + 36. Let a(u) = 6*k(u) - 52*q(u). Determine w so that a(w) = 0.
-2, 1
Factor -2/7*c**2 + 0 - 1/7*c**3 - 1/7*c.
-c*(c + 1)**2/7
Factor 1/3*y**2 - 2/3*y - 1.
(y - 3)*(y + 1)/3
Suppose -4 = 3*k - 10. Find l, given that -4*l**2 + 7*l**2 - 2*l**3 - k*l + l**2 = 0.
0, 1
Let w be 333/(-10)*32/(-48). Let n = w - 22. Find v such that 0 + 0*v**3 - n*v**4 + 0*v + 1/5*v**2 = 0.
-1, 0, 1
Factor -3/7*d**4 + 6/7*d**2 + 0*d + 0 + 3/7*d**3.
-3*d**2*(d - 2)*(d + 1)/7
Let q(g) = -g + 1. Let k(j) = -j**2 - j + 2. Let y(b) = 3*k(b) - 6*q(b). Factor y(z).
-3*z*(z - 1)
Let f(v) be the third derivative of 0*v**4 + 0*v + v**2 - 1/150*v**5 + 1/300*v**6 + 1/105*v**7 + 0 + 0*v**3 + 1/280*v**8. Find r, given that f(r) = 0.
-1, 0, 1/3
Let s = 12 - 9. Suppose s*y = -j + 4*y, 2*j = -2*y. Factor -6/7*v**5 - 4/7*v**2 + j*v + 2/7*v**3 + 0 + 8/7*v**4.
-2*v**2*(v - 1)**2*(3*v + 2)/7
Let m(x) = -2. Let g(d) = -d**2 - 3. Suppose -h + 3 = -0*h. Let o(f) = h*m(f) - 2*g(f). Let o(c) = 0. What is c?
0
Determine u so that 0 - 8/3*u + 2/3*u**2 = 0.
0, 4
Let g be (2/(-4))/(21/168). Let k be (-10)/g - 10/20. Solve q + 0 + q**k + 1/4*q**3 = 0 for q.
-2, 0
Let o(m) = m**2 + m - 1. Let a(r) = -8*r**2 - 9*r + 7. Let q(u) = 3*a(u) + 21*o(u). Find s such that q(s) = 0.
-2, 0
Suppose 4*f + 2*h = 6*h + 56, -2*h - 18 = -f. Suppose 5*z + 0*z - 50 = 0. Factor -f*o + z*o - o**2.
-o**2
Let z be -5 + (1824/880)/(2/5). Factor 0 + z*y**3 + 0*y**2 - 2/11*y.
2*y*(y - 1)*(y + 1)/11
Let z(p) = p**2 + 5*p - 6. Let m(w) be the second derivative of w**4/12 + w**3 - 7*w**2/2 - 4*w. Let k(t) = -5*m(t) + 6*z(t). Factor k(x).
(x - 1)*(x + 1)
Let g(z) be the first derivative of 3*z**4/2 + 2*z**3/3 + z + 2. Let l(a) be the first derivative of g(a). Solve l(n) = 0 for n.
-2/9, 0
Let d(p) be the second derivative of -p**6/600 + p**5/300 + p**4/60 + 3*p**2/2 - 2*p. Let h(k) be the first derivative of d(k). Factor h(y).
-y*(y - 2)*(y + 1)/5
Let t(h) = -h + 6. Let v be t(4). Suppose -4*j - 2 = -10. Suppose 2*i + 7 + 0*i - j*i**v - 7 = 0. Calculate i.
0, 1
Let g(b) be the second derivative of 4*b + 2/7*b**2 + 0 + 1/7*b**3 + 1/42*b**4. Find n, given that g(n) = 0.
-2, -1
Let d be (-2)/4*(4 - 8). Suppose -d*j + 13 = 3. Factor -v**2 - j*v**2 + 0*v + 3*v.
-3*v*(2*v - 1)
Let c(r) = -2*r**3 - 3*r**2 - 1. Let n = 10 + -16. Let o(j) = 5*j**3 + 6*j**2 + j + 2. Let f(m) = n*o(m) - 14*c(m). What is z in f(z) = 0?
1
Suppose -24*f + 12*f = -36. Factor -4/9*k**2 - 2/3*k + 2/9*k**f + 0.
2*k*(k - 3)*(k + 1)/9
Let q(i) be the first derivative of -i**3/12 + i**2/4 + 4. Factor q(m).
-m*(m - 2)/4
Let r be ((-2)/5)/(14/(-10)). Suppose 0 = -l + 1, 2*l = -2*i + 14 - 6. Determine b so that 0*b - r*b**i + 8/7 - 6/7*b**2 = 0.
-2, 1
Let i(x) be the second derivative of -x**6/15 + x**4/3 - x**2 - 4*x. Factor i(g).
-2*(g - 1)**2*(g + 1)**2
Let x(f) be the third derivative of -1/9*f**4 - 2*f**2 + 1/126*f**7 + 0*f**3 + 1/20*f**6 + 1/15*f**5 + 0 + 0*f. Factor x(g).
g*(g + 2)**2*(5*g - 2)/3
Suppose -2*z - 2*z + 11*z**2 - z**2 - 2*z = 0. What is z?
0, 3/5
Let u(t) = 5*t + 4. Let z(q) = q. Let g(i) = u(i) - 4*z(i). Let c be g(-4). Let 0*k**4 + 4/5*k**3 - 2/5*k**5 + 0*k**2 + c - 2/5*k = 0. What is k?
-1, 0, 1
Let x(t) = 30*t**2 + 99*t - 51. Let a(c) = -6*c**2 - 20*c + 10. Let h(b) = 22*a(b) + 4*x(b). Factor h(z).
-4*(z + 4)*(3*z - 1)
Let r(u) = u**3 - 1. Let o(i) = 5*i**3 - 4*i**2 - i. Suppose -3*p - p - k = 0, 18 = 2*p + 5*k. Let t(c) = p*o(c) + 2*r(c). Suppose t(d) = 0. Calculate d.
-2/3, 1
Suppose 10*x - 12*x - 26*x = 0. What is q in 2/5*q**4 - 4/5*q + x + 4/5*q**3 - 2/5*q**2 = 0?
-2, -1, 0, 1
Let s(j) = j - 1. Let l be s(1). Let w(n) be the third derivative of -1/24*n**3 + 1/48*n**4 + 0 + l*n - 1/240*n**5 + n**2. Factor w(x).
-(x - 1)**2/4
Suppose -2*d + 20 = 2*v, -3*v - 4 + 14 = -2*d. Suppose v*f = f + 15. Let 0 + 0*c + 8/9*c**4 - 2/9*c**2 + 2/3*c**f = 0. What is c?
-1, 0, 1/4
Let x = -37 + 58. Suppose -2*l = 6, -d - 4*d = -2*l - x. Determine f so that 0 - 3*f + 21/2*f**2 - 15/2*f**d = 0.
0, 2/5, 1
Let b(o) be the second derivative of -o**8/16800 + o**6/1800 + o**4/6 + 4*o. Let f(i) be the third derivative of b(i). Solve f(g) = 0.
-1, 0, 1
Suppose -8/3*k**2 - 2/3*k**5 + 0*k + 0 - 10/3*k**4 - 16/3*k**3 = 0. Calculate k.
-2, -1, 0
Suppose 5 = -0*p - 5*p. Let h be p*((-15)/3 + 2). Factor 2 + h*s**2 - 2 - 3.
3*(s - 1)*(s + 1)
Factor 0 + 4/11*x**2 - 1/11*x**5 + 0*x + 5/11*x**4 - 8/11*x**3.
-x**2*(x - 2)**2*(x - 1)/11
Let k(g) = 2*g + 4. Let u be k(-4). Let o(a) = -16*a**2 - 6*a - 11. Let l(w) = 3*w**2 + w + 2. Let s(i) = u*o(i) - 22*l(i). Find y such that s(y) = 0.
0, 1
Let v(k) be the third derivative of k**5/20 + k**4 - 16*k**2. Solve v(s) = 0.
-8, 0
Factor 3/4*z - 1/2 - 1/4*z**2.
-(z - 2)*(z - 1)/4
Factor -2/7*l**2 + 2/7 + 0*l.
-2*(l - 1)*(l + 1)/7
Factor -t**5 - t**2 + t**4 + 429*t - 429*t + t**3.
-t**2*(t - 1)**2*(t + 1)
Let g be 5 - -1 - (-4)/(12/(-9)). Factor -2/5*c + c**2 + 0 + 7/5*c**g.
c*(c + 1)*(7*c - 2)/5
Let i = 3 - 3. Suppose 2*v - 9 = -s, 5*s - 27 = -2*v + v. Factor 0*h**s + h**5 + i*h**5.
h**5
Let k(w) be the first derivative of -3*w**4/20 - w**3 - 12*w**2/5 - 12*w/5 - 4. Factor k(c).
-3*(c + 1)*(c + 2)**2/5
Find l such that 0*l**2 + 2/11*l**5 + 0*l + 0*l**3 + 0 + 2/11*l**4 = 0.
-1, 0
Let x(r) be the first derivative of -3*r**5/5 + r**3 + 7. Find w such