
32*n**3
Let b(h) = h**2 + 6*h - 9. Let k(c) = -c**2 - 7*c + 9. Let v(z) = -5*b(z) - 4*k(z). Find the second derivative of v(t) wrt t.
-2
Let f(j) = -j**2 + 5*j + 2. Let h be f(4). Suppose -3*y + h = -y. Differentiate -2*m**2 + 1 + 3*m**2 - 4 - y*m**2 with respect to m.
-4*m
Suppose 3*f - 4*h - 14 = 0, -h - 6 = -4. What is the second derivative of 4*j + 4*j - j**f - 7*j wrt j?
-2
Let q(x) be the second derivative of x**10/5040 + x**6/120 - x**4/12 + 5*x. Let m(w) be the third derivative of q(w). Find the second derivative of m(l) wrt l.
120*l**3
Let b(j) = -4*j + 2*j**2 + 1 - 4*j**4 + 0*j + 5*j - j**3. Let y(m) = m**4 + m**3 - m - 1. Let q(z) = b(z) + y(z). What is the third derivative of q(k) wrt k?
-72*k
Let p(g) be the first derivative of 1/6*g**6 - 3 + 0*g**3 + 0*g**5 + 3/2*g**2 + 0*g**4 + 0*g. What is the second derivative of p(o) wrt o?
20*o**3
Let f(h) = -25*h**6 - 5*h**4 - 26*h**2 + 5. Let j(n) = 12*n**6 + 2*n**4 + 13*n**2 - 2. Let a(k) = -2*f(k) - 5*j(k). Find the third derivative of a(x) wrt x.
-1200*x**3
Let d be (3/(-9))/(1/(-3)). Let f be 0/((-4)/2 - 0). What is the derivative of f + i + i + d wrt i?
2
What is the second derivative of -2*d**5 + 2*d**4 - 2*d**4 + d**5 - 6*d wrt d?
-20*d**3
Suppose -j = -2*x + 10, j + x + 10 = 5*x. Let q be (-46)/j + 2/5. What is the second derivative of t + t**q - t**5 + 2*t**5 wrt t?
40*t**3
Let x(u) be the first derivative of u**7/70 + u**4/6 + u**2/2 - 6. Let i(c) be the second derivative of x(c). Find the second derivative of i(w) wrt w.
36*w**2
Let o(f) be the first derivative of -f**4/4 + 6*f - 25. Find the first derivative of o(x) wrt x.
-3*x**2
Suppose -3*z + 7 + 8 = 0. Let y be (0 + z)*(-3)/(-5). What is the second derivative of -3*i + i**3 + i**y + 4*i wrt i?
12*i
Suppose 3*n = -14 + 11. Let d(t) = 7*t + 2. Let s(m) = -m. Let w(q) = n*d(q) - 2*s(q). What is the derivative of w(r) wrt r?
-5
Let s be (-9)/6 - 1/(-2). Let g(w) = w**2 + w + 1. Let f(l) = -4*l**2 - 2*l - 1. Let p(m) = s*f(m) - 2*g(m). Differentiate p(j) with respect to j.
4*j
Differentiate 15 - 347*r**2 + 310*r**2 + 44 with respect to r.
-74*r
Let k be (8/(-14))/((-4)/14). Let h(r) = -r**2 - 15*r - 5. Let l(i) = -7*i - 2. Let p(b) = k*h(b) - 5*l(b). Find the second derivative of p(n) wrt n.
-4
Suppose -2 = -4*l + 6. Find the second derivative of -2*t - 6*t**2 - 2*t + 2*t**l wrt t.
-8
Let r(q) = 8*q**3 + 8*q**2 + 5. Let g(a) = 18 + 44*a**2 + 10 + 44*a**3 + 0. Let y(f) = -5*g(f) + 28*r(f). What is the third derivative of y(n) wrt n?
24
Let b be (0/2)/(0 - 1). Find the first derivative of -3 + b + 0*j + 6*j + 12 wrt j.
6
Let f be (3 + -2)/((-2)/(-4)). Find the third derivative of -k**2 + 4*k**4 + 4*k**4 - 4*k**f wrt k.
192*k
Suppose -2*r - 3*r + 10 = 0. Let z(j) be the second derivative of 3/2*j**r + 2*j + 1/3*j**3 + 0. What is the first derivative of z(v) wrt v?
2
What is the second derivative of -7 + 2 + 5 + 17*a**4 + 3 + a**5 - 13*a wrt a?
20*a**3 + 204*a**2
Let h(g) be the third derivative of -g**5/30 - 5*g**3/3 + 38*g**2. What is the derivative of h(s) wrt s?
-4*s
Let h = -6 - -7. What is the second derivative of 0*a**5 - a - h + 1 - 5*a**5 wrt a?
-100*a**3
Let z(v) = -3*v**3 - 6*v + 3*v + 2 + v. Let t(n) = 7*n**3 + 5*n - 3. Let y(j) = 4*t(j) + 10*z(j). Differentiate y(s) with respect to s.
-6*s**2
Let k(y) = -y**2 + 3*y + 4. Let a(j) = -2*j - 3. Let v(q) = -q + 4. Let l be v(7). Let b(m) = l*k(m) - 4*a(m). Find the second derivative of b(g) wrt g.
6
Suppose 2*k + 5*g - 8 = 0, 3 = 3*k - 0*k + 3*g. Let h(r) = -r**4 - r**3 - r**2 - 2. Let u(x) = x**3 + x**2. Let w(t) = k*h(t) - u(t). Differentiate w(j) wrt j.
4*j**3
Let v(c) = 5*c**2 - 3. Let h(a) = 11*a**2 - 6. Let u be (-4)/(-18) + (-56)/9. Let g(d) = u*h(d) + 13*v(d). What is the derivative of g(o) wrt o?
-2*o
Let x(u) = -u**3 + u**2 + u + 1. Let k(d) = 14*d**6 + 3*d**3 - 4*d**2 - 3*d - 3. Let v(o) = -k(o) - 3*x(o). What is the third derivative of v(g) wrt g?
-1680*g**3
What is the first derivative of -14 - 1 - 44 + 6*j**4 wrt j?
24*j**3
Suppose -2*y + 1 + 3 = 0. What is the third derivative of i**4 + i**4 + i**2 - 7*i**4 + i**y wrt i?
-120*i
Let w be 1 + -1 - (-2 + 0). What is the second derivative of -3*t**2 + t + 2*t + t**w + 4*t**2 wrt t?
4
Suppose 3*l + 3 = -4*j + 6, 27 = 3*l - 4*j. What is the second derivative of -3*t**5 + 7*t**5 + 10*t**4 - 10*t**4 + l*t wrt t?
80*t**3
Let a = 4 + -2. Suppose -3*k + 7*b - 3*b = -18, 10 = a*k - 2*b. What is the second derivative of 2*p**2 + k*p - 3*p**2 - 3*p wrt p?
-2
Suppose -i + 6 = 3. What is the third derivative of -f**2 + 7*f**2 + 5*f**i - 2*f**3 wrt f?
18
Suppose 0 = -4*r + 5 + 3. Let j(f) = f**2 - 1 + f**r + 7 - f**2. Let b(d) = d**2 + 11. Let q(w) = -4*b(w) + 7*j(w). Differentiate q(h) wrt h.
6*h
Suppose 5*i - 23 = 2. What is the third derivative of 7 - 6*s**2 - 6*s**i - 7 wrt s?
-360*s**2
Find the second derivative of 2*g - 4*g**2 + 7*g + 7*g - 12*g**2 wrt g.
-32
Find the first derivative of 23*o + 7*o - 20*o - 19 wrt o.
10
Let o(l) = l**3 + 7*l**2 + 7*l + 6. Let x be o(-6). Let v = x + 7. Differentiate 2 - u + 3 - v with respect to u.
-1
Let t(z) be the third derivative of z**5/5 - 5*z**3/3 - 21*z**2. Differentiate t(x) with respect to x.
24*x
Differentiate 0 + 3 - 64*m**2 + 70*m**2 wrt m.
12*m
Let y(l) = -40*l**4 + 3*l**3 - 30*l + 3. Let s(p) = p**4 - p**3 - p - 1. Let w(c) = 3*s(c) + y(c). Find the second derivative of w(k) wrt k.
-444*k**2
Let w(s) = s**4 + 8*s**2 - 2. Let z(o) = 7*o**2 - 3. Let j(m) = 3*w(m) - 2*z(m). Find the third derivative of j(g) wrt g.
72*g
What is the third derivative of 3*q**2 - 10*q**3 - 2*q**2 + 0*q**2 + 3*q**2 wrt q?
-60
Let y(v) be the second derivative of 5*v**4/6 - 2*v**3 - 9*v. Find the second derivative of y(h) wrt h.
20
Let c(s) = -s + 7. Let z be c(4). Let h be ((0/1)/z)/(-2). What is the second derivative of t + h*t**5 - 3*t**5 + t**5 wrt t?
-40*t**3
Let w be (-26)/143 - (-92)/22. Find the third derivative of 6*s**2 + 2*s**2 - 5*s**w + 11*s**4 - 14*s**4 wrt s.
-192*s
Let k(o) = -o**2 - 5*o. Let s = 7 + -11. Let c be k(s). What is the second derivative of -2*p**4 + c*p**4 + 2*p - 3*p wrt p?
24*p**2
Let w(o) be the third derivative of -o**6/120 - 7*o**5/60 - o**4/3 - 3*o**3/2 + o**2. Let d be w(-6). Differentiate -3 + 2 + d + 3*t wrt t.
3
Let t(v) = -5*v**5 - 2*v**4 - 22*v**2 - 2*v + 2. Let l(c) = -c**5 + c**4 - c**2 + c - 1. Let u(m) = -2*l(m) - t(m). Find the third derivative of u(i) wrt i.
420*i**2
Let t(r) be the first derivative of r**9/168 - r**5/60 - r**2 - 2. Let j(w) be the second derivative of t(w). Find the third derivative of j(d) wrt d.
360*d**3
Let m = -6 - -4. Let j = 7 + m. What is the third derivative of -4*t**3 + t**2 + 4*t**3 - t**j wrt t?
-60*t**2
Let p(g) = -17*g - 6. Let v(b) = -8*b - 3. Let w(z) = -6*p(z) + 13*v(z). Let h be w(-4). Differentiate -3*j**4 - 3 + 1 + h*j**4 with respect to j.
8*j**3
Let g(a) be the first derivative of -a**6/15 + a**3 + a**2/2 - 3. Let t(d) be the second derivative of g(d). Differentiate t(p) wrt p.
-24*p**2
Find the third derivative of -2*j**2 + 10*j**5 + 0*j**2 - 8*j**5 + 11*j**2 wrt j.
120*j**2
Let l(q) be the second derivative of 0*q**4 - 1/5*q**6 + 0*q**3 - 3/2*q**2 + 0 + 0*q**5 + 10*q. Find the first derivative of l(h) wrt h.
-24*h**3
Let v(p) = -p + 8. Let y be v(6). What is the derivative of -3 + y*x**4 + 6*x**2 - 6*x**2 wrt x?
8*x**3
Let l be 0 - (-1)/((-1)/(-6)). Suppose -j + l - 3 = 0. Find the second derivative of j*b**5 - 2*b**5 - 3*b**5 + 2*b wrt b.
-40*b**3
Let t = -21 + 110. What is the third derivative of 89*j - 9*j**3 + j**2 - t*j wrt j?
-54
Let r(t) = -t**3 + 4*t**2 - 2*t - 3. Let z be r(3). Suppose z = -c - c + 6. Find the second derivative of 4*g**c + g + 2*g + 0*g wrt g.
24*g
Let k(c) = -21*c**3 - 5*c**2 - 15*c + 5. Let i(g) = 10*g**3 + 2*g**2 + 7*g - 2. Let t(y) = 5*i(y) + 2*k(y). Find the second derivative of t(x) wrt x.
48*x
Let q(l) = -11*l**2 - 4. Let k(a) = -12*a**2 - 3. Let m(u) = 4*k(u) - 5*q(u). Differentiate m(j) with respect to j.
14*j
Suppose -4*r + 0*r = -4*u + 24, 5*r + 25 = 0. Suppose -2*s + 5 + u = 0. Differentiate 0 + 2*p - s*p**2 + 1 - 2*p wrt p.
-6*p
What is the third derivative of 37*s**4 - 106*s**3 - 4*s + 0*s**2 - 2*s**2 + 106*s**3 wrt s?
888*s
Let n(k) = 4*k + 1. Let b(a) = -8*a - 4. L