4/3*h - 8*h**3.
2*h*(h - 1)**2*(5*h - 2)/3
Let 0 + 2/7*b**4 - 2/7*b**3 - 2/7*b**2 + 2/7*b = 0. Calculate b.
-1, 0, 1
Let m(l) be the third derivative of -l**10/453600 - l**9/60480 - l**8/30240 + l**5/20 + 4*l**2. Let a(p) be the third derivative of m(p). Factor a(r).
-r**2*(r + 1)*(r + 2)/3
Let u be (-1)/(63/33 + -2). Suppose -2 + u = 3*k. Factor z + 0*z**k + z**3 - 2*z**2 + 0*z**2.
z*(z - 1)**2
Let r(u) be the third derivative of -u**7/4620 - u**6/990 + u**5/660 + u**4/66 + u**3/3 + 3*u**2. Let w(j) be the first derivative of r(j). Factor w(n).
-2*(n - 1)*(n + 1)*(n + 2)/11
Let y(d) be the third derivative of d**5/120 + d**4/16 + d**3/6 + 12*d**2. Let y(h) = 0. What is h?
-2, -1
What is g in 16/7*g + 16/7*g**2 + 4/7*g**3 + 0 = 0?
-2, 0
Factor -g + 0 + 1/4*g**3 + 0*g**2.
g*(g - 2)*(g + 2)/4
Find t such that 40 + 44*t**3 - 9*t**3 - 9*t + 109*t - 130*t**2 = 0.
-2/7, 2
Let i(l) be the second derivative of l**4/18 - 8*l**3/9 - 3*l**2 + 2*l + 2. Solve i(u) = 0.
-1, 9
Let t(b) be the first derivative of 4*b**3/9 + 2*b**2/3 - 8*b/3 + 23. Determine x, given that t(x) = 0.
-2, 1
Let o(t) be the first derivative of t**6/6 - 3*t**5/10 - 5*t**4/8 + 13*t**3/6 - 9*t**2/4 + t + 24. Solve o(m) = 0 for m.
-2, 1/2, 1
Find d such that 2/21*d**2 + 0*d - 8/21 = 0.
-2, 2
Let u(j) be the second derivative of -3*j**5/10 - j**4 - 4*j**3/3 - j**2/2 + j. Let r(a) be the first derivative of u(a). Suppose r(v) = 0. Calculate v.
-2/3
Let u(p) be the first derivative of 2*p**3/15 - 8*p**2/5 + 14*p/5 - 10. Determine a, given that u(a) = 0.
1, 7
Factor -29*f**3 - 53*f**2 - 85/2*f - 13/2*f**4 - 1/2*f**5 - 25/2.
-(f + 1)**3*(f + 5)**2/2
Let f = -133 - -1199/9. Factor 2/9*j**3 - f - 2/9*j + 2/9*j**2.
2*(j - 1)*(j + 1)**2/9
Let k(v) be the first derivative of -5*v**3/3 + 4*v**2 - 5*v + 6. Let z(p) = -6*p**2 + 9*p - 6. Let y(d) = -3*k(d) + 2*z(d). Factor y(r).
3*(r - 1)**2
Let c be 57/90 + 5/(-10). Factor -c*p**5 + 2/3*p**2 - 2/15*p**4 + 2/5*p**3 + 0 + 4/15*p.
-2*p*(p - 2)*(p + 1)**3/15
Let n(x) = -x**2 - 5*x - 6. Let u be n(-2). Let u*f + 0 + 0*f**2 - 6/5*f**4 - 2/5*f**3 - 4/5*f**5 = 0. What is f?
-1, -1/2, 0
Let l(h) be the third derivative of h**5/150 - 11*h**4/30 + 121*h**3/15 + h**2 + 21*h. Factor l(q).
2*(q - 11)**2/5
Let h = 19 - 19. Let t(n) be the first derivative of 1/18*n**4 + 0*n**2 + h*n**3 + 2/45*n**5 - 2 + 0*n. Solve t(z) = 0.
-1, 0
Let x(q) be the first derivative of 0*q**2 + 0*q + 0*q**4 - 1/9*q**6 + 0*q**3 - 2/15*q**5 + 2. Solve x(r) = 0 for r.
-1, 0
Suppose -13 = -5*g - 3. Suppose 5*q - 1 = g*j, -7 = -4*j - 3*q + 4. Factor 8*m + 3*m**2 - m**2 - 3*m**2 + 8 + 3*m**j.
2*(m + 2)**2
Let y(j) be the second derivative of 0*j**2 + 1/195*j**6 + 0*j**3 - 1/78*j**4 + 3*j + 0 + 0*j**5. What is x in y(x) = 0?
-1, 0, 1
Let m(y) = -4*y**3 - 10*y**2 - 6*y. Let v(b) = -b**2 - b. Let x(f) = -f - 7. Let u be x(-8). Let z(d) = u*m(d) - 4*v(d). Find n, given that z(n) = 0.
-1, -1/2, 0
Let f(c) be the first derivative of -c**6/6 - 7*c**5/10 - c**4 - c**3/3 + c**2/2 - 3*c + 2. Let l(n) be the first derivative of f(n). Factor l(q).
-(q + 1)**3*(5*q - 1)
Let k(n) = -3*n - 5*n**2 - n - 4 + 5. Let v = 15 + -11. Let o(x) = 4*x**2 + 3*x - 1. Let l(d) = v*o(d) + 3*k(d). Factor l(w).
(w - 1)*(w + 1)
Factor 4*a**2 + 4 - 6 + 4 - 4 - 2*a**4.
-2*(a - 1)**2*(a + 1)**2
Let z = -106581/748 + 2408/17. Let w = z - -12/11. Solve 0*b**3 + 0 - 1/2*b**2 - w*b**5 + 1/2*b**4 + 1/4*b = 0 for b.
-1, 0, 1
Factor 0 + 0*s**4 + 0*s**2 - 2/3*s**5 + 0*s**3 + 0*s.
-2*s**5/3
Suppose 8*s**3 - 18*s**3 + 0 + 6*s**4 + 3*s**5 - 4*s**4 - 2 + 7*s = 0. Calculate s.
-2, -1, 1/3, 1
Let u(l) = 11*l + l**2 + 9 - l**2 + 0 - 3*l**2. Let d(v) = v**2 - 5*v - 4. Let a(b) = -15*d(b) - 6*u(b). Factor a(q).
3*(q + 1)*(q + 2)
Let z(v) be the first derivative of v**4/8 + v**3/2 + v**2/2 + 4. Let z(o) = 0. Calculate o.
-2, -1, 0
Let b(g) be the third derivative of 0*g + 1/20*g**5 - 3/2*g**3 + 2*g**2 + 0 + 1/4*g**4. Find q such that b(q) = 0.
-3, 1
Let d = -296099/150 - -1974. Let x(i) be the third derivative of -1/600*i**6 + 1/120*i**4 - 1/15*i**3 + d*i**5 + 0 - 4*i**2 + 0*i. Suppose x(p) = 0. What is p?
-1, 1, 2
Let o(a) be the third derivative of 11*a**6/24 - a**5/6 - 55*a**4/24 + 5*a**3/3 + 4*a**2. Suppose o(h) = 0. Calculate h.
-1, 2/11, 1
Let c = 28 + -25. Let t(b) be the third derivative of -1/60*b**6 - 1/30*b**5 + 0*b**c + 0 - b**2 + 0*b + 1/12*b**4 + 1/105*b**7. Find y, given that t(y) = 0.
-1, 0, 1
Let i(j) = -7*j**3 - 16*j**2 - 8*j + 4. Let z(r) = 16*r**3 - 11 + 56*r**2 + 4*r**3 - 9*r**2 + 25*r. Let u(o) = -11*i(o) - 4*z(o). Factor u(y).
-3*y*(y + 2)**2
Determine u, given that -3*u**5 + 5*u**4 - 10*u**2 - 10*u**3 + 9*u**5 - u**5 + 5*u + 5 = 0.
-1, 1
Find g, given that 2*g**4 + 42 - 34 + 0*g**3 - 10*g**2 + 0*g**3 = 0.
-2, -1, 1, 2
Let r(z) be the third derivative of 0*z + 1/1680*z**8 + 0*z**4 + 2*z**2 + 0*z**3 + 1/525*z**7 + 0*z**5 + 1/600*z**6 + 0. Determine s, given that r(s) = 0.
-1, 0
Suppose 3*m - 4 = m. Solve -2*g**3 + 5*g**3 + 2*g**4 - g**3 + m*g**2 - 6*g**2 = 0 for g.
-2, 0, 1
Let l(z) = z**3 + 9*z**2 + 8*z + 2. Let b be l(-8). Suppose b*n + 4*n = 0. Determine t so that -4/5*t**3 + 0*t + n + 2/5*t**2 + 2/5*t**4 = 0.
0, 1
Let y(k) = 16*k - 157. Let h be y(10). Find m, given that -10/3*m**2 - 2/3*m**h - 16/3*m - 8/3 = 0.
-2, -1
Let o(h) = -2*h**2 - 2*h + 2. Let b(w) = 9*w**2 + 11*w - 9. Let l(u) = -2*b(u) - 11*o(u). Factor l(n).
4*(n - 1)*(n + 1)
Let k(l) = -123*l**4 - 444*l**3 - 711*l**2 - 384*l - 66. Let r(c) = -35*c**4 - 127*c**3 - 203*c**2 - 110*c - 19. Let n(p) = -5*k(p) + 18*r(p). Solve n(y) = 0.
-2, -1, -2/5
Let l(d) = 4*d**2 - 1. Let u(z) = 7*z**2 - z - 1. Let j be ((-5)/3)/((-1)/(-3)). Let p(x) = j*l(x) + 3*u(x). Factor p(t).
(t - 2)*(t - 1)
Let b(x) be the first derivative of -x**7/105 - x**6/30 + x**5/30 + x**4/6 + 7*x**2/2 - 2. Let p(f) be the second derivative of b(f). Factor p(j).
-2*j*(j - 1)*(j + 1)*(j + 2)
Let l(g) be the third derivative of -g**7/210 + g**6/30 - g**5/10 + g**4/6 - g**3/6 - 9*g**2. Suppose l(t) = 0. Calculate t.
1
Let u(z) be the second derivative of z**3/6 - z**2/2 + 2*z. Let l be u(2). Let l - 1 + h**3 + 3*h - 3*h**2 - 1 = 0. What is h?
1
Suppose 0 = 6*w - 2*w - 24. Let a(b) be the second derivative of 0 - 1/21*b**7 + 1/3*b**3 - 2*b + 0*b**5 - 2/15*b**w + 1/3*b**4 + 0*b**2. Factor a(o).
-2*o*(o - 1)*(o + 1)**3
Factor 540*i**3 + 15*i - 543*i**3 - 4 + 6*i**2 - 14.
-3*(i - 3)*(i - 1)*(i + 2)
Factor -4/5*t + 0 + 2*t**2 - 8/5*t**3 + 2/5*t**4.
2*t*(t - 2)*(t - 1)**2/5
Let x(f) be the first derivative of -3/4*f**4 + 2*f**3 + 0*f**2 + 0*f - 4. What is q in x(q) = 0?
0, 2
Let p(y) = y**3 - 5*y**2 - 7*y + 6. Let d be p(6). Let x(k) be the second derivative of 0*k**5 + 0*k**4 + 0 - k + d*k**3 + 0*k**2 - 1/30*k**6. Factor x(n).
-n**4
Let u(v) be the third derivative of -7*v**2 + 0 - 1/120*v**6 - 1/105*v**7 + 0*v**5 + 0*v + 0*v**3 + 0*v**4 - 1/336*v**8. Find x, given that u(x) = 0.
-1, 0
Let d = -293 - -11721/40. Let b(j) be the third derivative of -1/60*j**5 + 0*j**4 + 4*j**2 + 0 + 1/112*j**8 + 1/210*j**7 - d*j**6 + 0*j**3 + 0*j. Factor b(p).
p**2*(p - 1)*(p + 1)*(3*p + 1)
Factor 3*i**2 - i**2 + 0*i**2 - 12*i**4 + 2*i**3.
-2*i**2*(2*i - 1)*(3*i + 1)
Let h(u) = -u**2 - 2*u - 4. Let j(p) = -p**2 - p. Let c = -6 - -8. Suppose t + 0 = -c. Let s(a) = t*j(a) + h(a). Solve s(b) = 0.
-2, 2
Let x(w) = 2*w. Let g be x(2). Factor -m**g + 4*m**4 - m**4.
2*m**4
Factor 4/7*l + 0 + 6/7*l**2 + 2/7*l**3.
2*l*(l + 1)*(l + 2)/7
Let t(r) be the third derivative of r**6/240 - r**5/120 + 7*r**2. Solve t(p) = 0 for p.
0, 1
Let n = 112 + -109. Factor 2/5*z - 1/5*z**4 + 1/5*z**5 + 1/5*z**2 + 0 - 3/5*z**n.
z*(z - 2)*(z - 1)*(z + 1)**2/5
Let m(x) = -x**3 - 2*x**2 + 2. Let v be m(-2). Let c be 2/3 - (-4)/(-6). Solve 0*h**v + c*h + 0 - 2/7*h**3 = 0 for h.
0
Suppose 17*u - 18*u = -l + 3, 4*u + 3*l - 9 = 0. Let 0 + 3/4*d**2 - 3/4*d**5 - 9/4*d**3 + u*d + 9/4*d**4 = 0. Calculate d.
0, 1
Let z(c) = 131*c + 6. Let i be z(-4). Let y = -2582/5 - i. Factor 38/5*b**2 + y*b**5 + 2/5 + 14/5*b + 10*b**3 + 32/5*b**4.
2*(b + 1)**3*(2*b + 1)**2/5
Let g = -4 + 8. Factor -8*c**2 + 1 - 2 - 4*c**3 + 1 - g*c.
-4*c*(c + 1)**2
Factor 0 + 4/3*n**3 - 2/3*n**2 - 4/3*n + 2/3*n**4.
2*n*(n - 1)*(n + 1)*(n + 2)/3
Let i(w) be the first derivative of -5*w*