 m(f) = 4*s(f) - 11*u(f). What is the first derivative of m(d) wrt d?
-32*d
Let y(d) = -7*d**3 + 5*d**2 + 7*d - 6. Let t(h) = -4*h**3 + 3*h**2 + 3*h - 3. Let l(p) = -7*t(p) + 3*y(p). What is the third derivative of l(s) wrt s?
42
Suppose 0 = 2*o + b - 17, 0 = 4*o + 5*b - 0 - 25. Find the second derivative of o*s**2 - 10*s**2 - 8*s**2 - s wrt s.
-16
Let y(m) = m**2 + m + 1. Let h(i) = 7*i**2 + 6*i + 21. Let z(x) = -h(x) + 6*y(x). What is the derivative of z(r) wrt r?
-2*r
Let c(g) be the second derivative of g**3/6 - 4*g**2 - 6*g. Find the first derivative of c(k) wrt k.
1
Let t(d) = d**2 - d - 4. Let a be t(3). Find the second derivative of l**3 + 1 + 2*l - 1 - a*l**3 wrt l.
-6*l
Suppose 0*n - 15 = -5*n. Find the first derivative of -2*t**4 + 0*t**4 - 5*t**3 + 3 + 5*t**n wrt t.
-8*t**3
Let f be (-88)/(-14) - 12/42. Suppose z + 5 = f*z. What is the derivative of -3 - a**4 - z + 5 wrt a?
-4*a**3
Find the third derivative of -23*s**6 - 6*s**2 + s**2 + 7*s**2 - 19*s**2 wrt s.
-2760*s**3
Let x(s) be the second derivative of 0*s**2 + 5*s + 0*s**6 + 0*s**5 + 0 + 0*s**4 + 5/6*s**3 + 1/42*s**7. What is the second derivative of x(c) wrt c?
20*c**3
Let d(o) be the third derivative of 0*o**6 - 1/70*o**7 - 7/60*o**5 + 0*o**3 + 0*o**4 + 3*o**2 + 0 + 0*o. Find the third derivative of d(g) wrt g.
-72*g
Let z(d) be the second derivative of -23*d**6/30 - 19*d**4/12 - 22*d. Find the third derivative of z(h) wrt h.
-552*h
Let z(j) be the first derivative of -j**10/2520 - j**6/180 + j**3/3 + 3. Let x(g) be the third derivative of z(g). What is the third derivative of x(c) wrt c?
-240*c**3
Let t(b) = -4 + 4*b - 3 - 2*b. Let y be t(6). Find the third derivative of 2*r**3 + y*r**2 - r**3 - 3*r**2 wrt r.
6
Let t(l) be the third derivative of 0*l**3 - 3*l**2 + 1/210*l**7 + 1/12*l**4 + 0 + 0*l + 0*l**6 + 0*l**5. What is the second derivative of t(r) wrt r?
12*r**2
Let f(k) be the third derivative of -k**6/180 + k**5/30 + k**4/24 - 2*k**2. Let r(n) be the second derivative of f(n). Find the first derivative of r(c) wrt c.
-4
Suppose i + x - 12 = -2*x, -5*i + 3 = -4*x. Differentiate 3 + 1 - 2*c**3 - i*c**3 + 2*c**3 wrt c.
-9*c**2
Let q(x) be the third derivative of x**6/60 - x**5/20 - 5*x**3/6 - 7*x**2. Let k(j) be the first derivative of q(j). Find the second derivative of k(c) wrt c.
12
Let c(x) = 5*x**4 - 7*x**3 - 24*x**2 + 7. Let g(p) = -2*p**4 + 4*p**3 + 12*p**2 - 4. Let d(w) = 4*c(w) + 7*g(w). Find the third derivative of d(u) wrt u.
144*u
Suppose 3*l = j + 14, -3*j = 3*l + j - 4. What is the second derivative of 2*x**5 + x + x - l*x**2 + 4*x**2 wrt x?
40*x**3
Let m(r) = -5*r**2 - 7*r**3 + 2*r**2 + 15*r**3. Let c(x) = 7*x**3 - 2*x**2. Let w(d) = -6*c(d) + 5*m(d). Find the third derivative of w(t) wrt t.
-12
What is the third derivative of 48*l**5 - 2*l**3 + l**6 + 2*l**3 - 2*l**2 - 2*l - 55*l**5 wrt l?
120*l**3 - 420*l**2
Let d(y) be the second derivative of -4*y**5/5 + 7*y**3/2 + 32*y. Find the second derivative of d(c) wrt c.
-96*c
Let w(g) be the first derivative of g**4/8 + 7*g**3/6 + g**2/2 + 1. Let t(l) be the second derivative of w(l). What is the first derivative of t(d) wrt d?
3
Let o(q) = -q**4 + q**3 - q**2 - 1. Let j(k) = k**4 + 4*k**3 - k**2 - 4. Let h(y) = j(y) - 4*o(y). What is the third derivative of h(b) wrt b?
120*b
Let w(v) be the third derivative of -4*v**2 - 1/42*v**7 + 0*v**5 + 0*v**3 + 0*v + 0 - 1/8*v**4 + 0*v**6. What is the second derivative of w(s) wrt s?
-60*s**2
What is the second derivative of 6*i**2 - 7*i**2 - 6*i**2 - 8*i wrt i?
-14
Let t(a) be the first derivative of 3*a**3 + 3*a**2/2 - 9. What is the second derivative of t(q) wrt q?
18
Let i(n) be the third derivative of -n**7/35 + n**3/6 + 5*n**2. Find the first derivative of i(p) wrt p.
-24*p**3
Let j = 10 + 1. Suppose j = -a + 5*c, 5*a + 2*c - 14 = 4*c. Differentiate -a*k**4 + 3 + 2*k**4 - 6 wrt k.
-8*k**3
Let s(o) be the second derivative of -17*o**6/30 + 19*o**4/12 + 22*o. Find the third derivative of s(y) wrt y.
-408*y
Let a(z) be the second derivative of -2*z**7/7 + 3*z**5/20 - 3*z**4/2 - 2*z. Find the third derivative of a(x) wrt x.
-720*x**2 + 18
What is the second derivative of -29*j**2 + 4*j + 4*j**2 - 16*j wrt j?
-50
Let k(v) be the first derivative of 0*v**4 + 5 + v**2 + 0*v - 7/5*v**5 + 0*v**3. What is the second derivative of k(n) wrt n?
-84*n**2
Let s(r) = r**2 + 2*r. Let h be s(-2). Suppose k + g - 4 = h, 0 = -3*k - 4*g - 6 + 17. What is the third derivative of 3*f**5 - 2*f**5 + 0*f**k - 2*f**2 wrt f?
60*f**2
Let h(q) = -q + 11. Let o(y) = -y + 23. Let b(k) = 13*h(k) - 6*o(k). Let c(z) = -1. Let n(s) = -b(s) + 3*c(s). Find the first derivative of n(x) wrt x.
7
Let b(x) be the first derivative of -x**6/120 - x**4/6 + x**2 - 5. Let l(r) be the second derivative of b(r). What is the second derivative of l(n) wrt n?
-6*n
Let r = 65 + -61. Let x(p) be the first derivative of -p**2 - 1/2*p**r + 0*p + 0*p**3 + 3. What is the second derivative of x(v) wrt v?
-12*v
Let n(b) be the first derivative of 18*b**5/5 - 36*b + 1. What is the derivative of n(c) wrt c?
72*c**3
What is the derivative of 163*j + 13 - 4 - 192*j wrt j?
-29
What is the second derivative of 3236 - 17*w**2 - 23*w - 3236 wrt w?
-34
Let l(b) = 30*b**4 - 22*b. Let n(o) = -12*o**4 + 9*o. Let h(g) = -5*l(g) - 12*n(g). What is the second derivative of h(u) wrt u?
-72*u**2
Let c(v) be the second derivative of -3*v**8/7 - 3*v**4 - 23*v. Find the third derivative of c(f) wrt f.
-2880*f**3
Let c(s) = -112*s**3 + 152*s - 17. Let n(q) = -37*q**3 + 51*q - 6. Let r(k) = -6*c(k) + 17*n(k). Find the second derivative of r(u) wrt u.
258*u
What is the first derivative of 2*v**2 - 96 + 10*v**2 + 82 wrt v?
24*v
Let o(d) = -d**2 - 2*d + 2. Let r be o(0). Suppose 0 = 3*c + b + b, 25 = 5*c - 5*b. Find the second derivative of -r*z - c*z**2 + 5*z + 0*z + 0*z wrt z.
-4
Let z be (-2)/10 - (-48)/15. Find the second derivative of -c**3 + 9*c**2 - z*c - 9*c**2 wrt c.
-6*c
Find the second derivative of -80 + 3*f**3 - 81 - 26*f**3 - 17*f + 163 wrt f.
-138*f
Let c(a) = 2*a**4 - 2*a**3 + 2*a**2 - 2*a + 1. Let k(o) = 9*o**4 - 11*o**3 + 11*o**2 - 11*o + 5. Let b(v) = 11*c(v) - 2*k(v). Differentiate b(y) wrt y.
16*y**3
Let n = 9 - 4. What is the third derivative of -2*m**2 + n*m**2 + 0*m**2 - 2*m**2 + 4*m**4 wrt m?
96*m
Let z(x) = -1. Let o = 1 + -2. Let n(d) be the third derivative of -d**4/24 + 9*d**2. Let p(q) = o*n(q) - 2*z(q). What is the first derivative of p(l) wrt l?
1
Let x(n) = n**3 - 2*n**2 + 2. Let m be x(0). Find the third derivative of -4*r**3 - r**3 + 4*r**2 + m*r**3 wrt r.
-18
Let u(v) be the second derivative of -22*v**7/21 + 13*v**3/3 + 2*v - 3. Find the second derivative of u(c) wrt c.
-880*c**3
Let b(u) = 25*u**2 - 6. Let z = -2 + -11. Let g(c) = -12*c**2 + 3. Let h(x) = z*g(x) - 6*b(x). Find the first derivative of h(l) wrt l.
12*l
Suppose 6*x - 10 = 4*x. Differentiate 6*k - 4 - 5 + 2 + x with respect to k.
6
Let b(c) = c**2 - 10*c + 5. Let m be b(10). Suppose -q + m = 3. What is the third derivative of 2*y**4 + 5*y**2 - 4*y**q + 0*y**4 + 0*y**4 wrt y?
48*y
Let v(c) = 9*c**3 - 11. Let m(z) = 2*z**2 - 3*z**2 - 8*z**3 + z**2 + 10. Let u(t) = 6*m(t) + 5*v(t). What is the derivative of u(n) wrt n?
-9*n**2
Suppose 3*r = 15, 0*d + 4*d = -2*r + 30. Find the third derivative of -70*j**4 + 70*j**4 + 2*j**d - 7*j**2 wrt j.
120*j**2
Let p(w) be the first derivative of -w**4/4 + 5*w**2/2 - 3*w - 2. Let m(i) be the first derivative of p(i). What is the derivative of m(r) wrt r?
-6*r
Let y(m) be the third derivative of 9*m**5/20 - 15*m**4/8 + 5*m**2 + m. What is the second derivative of y(z) wrt z?
54
Let l(p) be the first derivative of -p**7/42 - p**4/12 - 4*p - 3. Let m(w) be the first derivative of l(w). Find the third derivative of m(q) wrt q.
-60*q**2
Let c be 0*(-2 + (-5)/(-2)). Suppose c = -5*g + 4*u + 15 + 12, 3 = 3*g + 2*u. What is the second derivative of 0*w - 3 - 2*w - 2*w**4 + g wrt w?
-24*w**2
Let g(p) be the third derivative of 11*p**6/60 + 5*p**3/3 + 22*p**2. Find the first derivative of g(j) wrt j.
66*j**2
Suppose -5*c - 2*j + 18 = -4*j, -j = 4*c - 4. What is the derivative of -3 + 3*l**c - 3*l**2 - 4 + 3*l**3 wrt l?
9*l**2
Suppose 5*f - 28 - 107 = 0. Suppose 4*p + 3 - f = 0. What is the derivative of -5*r**3 + 2 + 