 y.
-18*y
Let v(d) = 1. Let s(n) = 9*n**3 + 25. Let y(l) = s(l) - 6*v(l). What is the derivative of y(c) wrt c?
27*c**2
Let h(m) be the first derivative of 1/2*m**4 - m + 0*m**2 + 0*m**3 - 3. Find the first derivative of h(f) wrt f.
6*f**2
Let r(p) be the first derivative of p**5/30 + p**4/8 + 5*p**2/2 + 4. Let g(i) be the second derivative of r(i). What is the second derivative of g(c) wrt c?
4
Suppose 8 + 1 = 3*p. Suppose 3*a + 2*d = 2, 0*d - p = -a - 3*d. What is the third derivative of -2*w**3 + 0*w**2 + 4*w**3 + w**2 + a*w**2 wrt w?
12
Suppose -4*y + 3 + 9 = 0. Suppose y*r - 1 = 2*w, 3*r - 2*w + 3*w - 13 = 0. What is the second derivative of 2*l**3 - 2*l - 2*l**4 - 2*l**r wrt l?
-24*l**2
Let h(b) be the first derivative of 4*b**5/5 + b**2/2 + 11. What is the second derivative of h(u) wrt u?
48*u**2
Let s(n) be the first derivative of -19*n**5/5 + n - 22. What is the derivative of s(t) wrt t?
-76*t**3
Let l(x) be the first derivative of -x**7 - 4*x**3/3 - 1. Find the third derivative of l(b) wrt b.
-840*b**3
Let u(n) = -n**5 - n**2 - n. Let p(t) = -8*t**5 + 6*t**2 + 39*t. Let a(b) = -p(b) - 6*u(b). Find the second derivative of a(y) wrt y.
280*y**3
Let m = 2 - -1. What is the third derivative of 8*v**2 + 0*v**2 - 4*v**2 + m*v**4 wrt v?
72*v
Let w(b) = -6*b**3 - 4*b + 3. Let q(h) = -25 + 0*h - 3*h - 5*h**3 + 28. Let u(c) = 4*q(c) - 3*w(c). What is the first derivative of u(v) wrt v?
-6*v**2
Let u(q) = 3*q**3 + q**2 + 2*q + 1. Let s be u(-1). Let y be 6/15 - s/5. What is the derivative of -1 + y + 3 + 0*p + 2*p wrt p?
2
Let q(w) = -w + 8. Let p be q(6). What is the first derivative of -p*f**2 - 2*f + 3 + 2*f + 0*f wrt f?
-4*f
Let u(a) be the third derivative of 2*a**4/3 - 5*a**3 - 6*a**2. Differentiate u(n) with respect to n.
16
Suppose 3*m = 2*q, -7*q + 3*q = 4*m. Let w(i) be the first derivative of q*i + 3/2*i**2 + 2 - 2/3*i**3. Find the second derivative of w(r) wrt r.
-4
Let u(s) = -s**3 - 2*s**2 + 3*s. Let c be u(-3). What is the derivative of 3 + 0*v - v + c wrt v?
-1
What is the third derivative of -37*j**2 - 3*j**4 + 7*j**4 + 33*j**2 wrt j?
96*j
Suppose 5*i - 35 = -5*j, 0 = 3*j - 4*i + 2*i - 6. What is the third derivative of -t**2 + 0*t**5 + j*t**2 - 2*t**5 wrt t?
-120*t**2
Let y(t) be the first derivative of -t**9/1008 + t**5/120 - t**3 - 3. Let m(n) be the third derivative of y(n). What is the second derivative of m(z) wrt z?
-60*z**3
Suppose 2*d = 10 - 0. Suppose -d*s + 4 = -11. Find the first derivative of 2*g + s - 3*g - 4 wrt g.
-1
Let i(t) be the first derivative of t**8/84 - t**4/24 - t**2/2 - 2. Let k(m) be the second derivative of i(m). What is the second derivative of k(v) wrt v?
80*v**3
Suppose 10 = -2*s + b + 2, 2*s = -5*b - 32. Let l = -4 - s. What is the third derivative of d**2 + l*d**6 - d**6 - 3*d**2 wrt d?
120*d**3
Let g(u) be the first derivative of 0*u**3 + 1 - 3*u + 0*u**2 - 1/2*u**4. Differentiate g(p) with respect to p.
-6*p**2
Let l = -7 + 10. Find the third derivative of 5*k**2 - l*k**4 + 4*k**4 - 2*k**4 - k**2 wrt k.
-24*k
Let v(u) = 7*u**2 - 1. Let f be v(1). Let g be (6/(-12))/(-3 - (-11)/4). What is the third derivative of -f*s**6 + g*s**6 - 3*s**2 + 0*s**6 wrt s?
-480*s**3
Let w(b) be the second derivative of 0*b**5 + 1/10*b**6 - 3*b + 0*b**4 + 0*b**3 + 0 + 3*b**2. What is the derivative of w(o) wrt o?
12*o**3
Let f(x) = 17*x**2 - 23*x. Let h(o) = -o**2 + o. Let i(w) = f(w) + 4*h(w). What is the second derivative of i(j) wrt j?
26
Let b(h) be the third derivative of 0*h**5 + 0*h + 2*h**2 + 0 + 1/3*h**3 + 0*h**6 + 0*h**4 + 1/70*h**7. What is the derivative of b(q) wrt q?
12*q**3
Suppose 3*l - 10 - 2 = 0. Let h = 5 - l. What is the derivative of -5*k**2 + 0*k**2 + 3 + 6*k**2 - h wrt k?
2*k
What is the third derivative of -3*z**4 - 3*z**4 - 2*z**2 - 2*z**2 - 4*z**4 wrt z?
-240*z
Let n(b) = -5*b**2 + b + 6. Let c(z) = -z. Let u(j) = -c(j) - n(j). Differentiate u(h) wrt h.
10*h
Let u be (8/14)/(16/56). Let w(g) be the third derivative of 1/24*g**4 + 0*g**3 + 1/60*g**5 + 0 + 0*g + g**u. What is the second derivative of w(v) wrt v?
2
What is the derivative of 6*i - 4 + 3*i + 1 wrt i?
9
Let u(v) be the second derivative of 3*v**8/4 - 23*v**4/12 - 24*v. What is the third derivative of u(n) wrt n?
5040*n**3
Suppose -4*g = -7*g. Find the first derivative of 13*q - 14*q - 1 + 2 + g wrt q.
-1
Let t(q) be the first derivative of q**7/280 - q**5/24 + 2*q**3/3 + 3. Let k(r) be the third derivative of t(r). Find the second derivative of k(x) wrt x.
18*x
Let n(j) = -4*j**3 + j**2 + 2*j + 1. Let m be n(-1). What is the second derivative of 2*r**m - 2*r + r + 3*r wrt r?
24*r**2
Suppose 3*h = 1 + 8. Find the second derivative of -r**3 - 2*r**h + r + 0*r + 8*r wrt r.
-18*r
Let i = -128/3 - -43. Let j(m) be the first derivative of -1/3*m**3 + 1 + 0*m**2 + 0*m**5 + 0*m**4 + 0*m + i*m**6. What is the third derivative of j(y) wrt y?
120*y**2
Let s(x) be the second derivative of -3*x**5/4 - x**4/12 - 9*x. What is the third derivative of s(i) wrt i?
-90
Let t(u) be the first derivative of 5*u**7/7 - 13*u**3/3 + 4. What is the third derivative of t(b) wrt b?
600*b**3
Let c(n) = n**3 + 6*n**2 + 2*n - 2. Let s be c(-5). Suppose b - v = s - 5, 5 = -v. What is the first derivative of 6*a - a**b + 3 + 3*a**3 - 6*a wrt a?
6*a**2
What is the first derivative of 2*b + 13*b**2 + 3 + 0*b - 2*b wrt b?
26*b
Let t(x) be the second derivative of 0*x**6 + 3/4*x**4 + 1/42*x**7 + 0 + 0*x**5 + 7*x + 0*x**3 + 0*x**2. Find the third derivative of t(g) wrt g.
60*g**2
Suppose 3*c - 2 = 5*g, -2*g - g + 26 = 5*c. What is the second derivative of -6*r + r**2 + 0*r**2 - c*r**2 wrt r?
-6
Let k(t) = -t**3 + t**2 - 1. Let l(v) = -v**3 - v**2 - 2. Let p(d) = k(d) + l(d). What is the first derivative of p(y) wrt y?
-6*y**2
Let g(r) be the second derivative of r**8/1680 + r**5/30 + r**3/2 - 4*r. Let t(c) be the second derivative of g(c). What is the second derivative of t(n) wrt n?
12*n**2
Let u(x) be the second derivative of -x**8/3360 + x**7/504 + x**4/6 + 2*x. Let n(b) be the third derivative of u(b). Find the third derivative of n(j) wrt j.
-12
Let h(b) be the second derivative of 0*b**5 - b + 0*b**2 + 0*b**3 + 0 - 1/15*b**6 + 1/4*b**4. What is the third derivative of h(g) wrt g?
-48*g
Let c(l) be the second derivative of 9*l**8/56 - 5*l**4/3 + 17*l. What is the third derivative of c(n) wrt n?
1080*n**3
Let g(i) = 19*i**4 - 9*i**2 + 8*i. Let m(r) = 0*r**2 + 9*r**4 - 3*r**2 - r**2 + 4*r. Let j(q) = 4*g(q) - 9*m(q). What is the second derivative of j(b) wrt b?
-60*b**2
Find the second derivative of -3*y**4 + 7*y - 13*y**4 + 3*y - 3*y wrt y.
-192*y**2
Suppose 12 = 4*r - r. Suppose -3*j = -2*b - 2, -2*j + 3*j = -b + 9. What is the derivative of b - 3 + 0*l**4 + l**r wrt l?
4*l**3
Let y(b) be the second derivative of 17*b**3/6 + b**2 - 11*b. What is the derivative of y(p) wrt p?
17
Find the first derivative of 12*v + v - v**2 - 48 + 28*v - 4*v wrt v.
-2*v + 37
Suppose n - 5 = -2*s, 3*n - 4*s + 15 = -0*n. Let h be ((-1)/n)/(3/6). Differentiate 0 - h*o**4 + 3 - o**4 wrt o.
-12*o**3
Let z(p) = -p**3 + p**2 - p + 1. Let s(g) = 2*g**3 - g**2 + g - 2. Let h(i) = s(i) + z(i). What is the first derivative of h(q) wrt q?
3*q**2
Let v(l) be the first derivative of -2*l**7/7 - l**5 - 59*l**3/3 + 54. Find the third derivative of v(a) wrt a.
-240*a**3 - 120*a
Let v = 9 - 3. What is the second derivative of 0*i**2 + 0*i**2 + 9*i**4 - 3*i**4 - v*i wrt i?
72*i**2
Let l(b) be the third derivative of 9*b**5/20 - b**4/4 + 31*b**2. Find the second derivative of l(v) wrt v.
54
Suppose 2*c + 5*d - 6 = 0, 0 = 3*c - d + 2*d - 9. What is the second derivative of -2*a - a + a + 0*a**c + 3*a**3 wrt a?
18*a
Find the second derivative of 8*d - 108*d**2 + 56*d**2 + 62*d**2 wrt d.
20
Suppose -10 - 2 = -4*n. Suppose 63 - 75 = -4*m. What is the third derivative of -7*b**n - b**2 + 4*b**2 + m*b**3 wrt b?
-24
Let f(a) = -23*a**3 + 7*a**2 - 43*a. Let t(j) = 11*j**3 - 3*j**2 + 22*j. Let r(u) = -3*f(u) - 7*t(u). Find the second derivative of r(i) wrt i.
-48*i
Let r(n) = n**2 + n - 1. Let g(f) = 6*f**3 - 6*f**2 - 4*f + 4. Let b(t) = -g(t) - 4*r(t). What is the third derivative of b(o) wrt o?
-36
Let n(h) be the first derivative of -h**8/168 + 3*h**5/20 + 7*h**2/2 + 3. Let s(x) be the second deriv