Let x(v) = 4*v + 20. Let d(n) = -5*n - 19. Let j(s) = -7*d(s) - 6*x(s). Let g(t) = -6*t - 7. Let r(h) = -7*g(h) - 4*j(h). Differentiate r(m) wrt m.
-2
Let l(g) = 5*g**4 - 6*g**2 + 16. Let q(v) = -15*v**4 + 17*v**2 - 47. Let k(y) = 17*l(y) + 6*q(y). Find the first derivative of k(d) wrt d.
-20*d**3
Let o(y) = -y**3 + 2*y**2 + 4*y - 1. Let j be o(3). Find the first derivative of 5 + 5*b**2 + 2*b**j - 2*b**2 wrt b.
10*b
Let p(x) be the first derivative of x**3/3 - 3*x**2/2 - 2. What is the second derivative of p(n) wrt n?
2
Suppose 0 = 4*h - 12 + 4. Let d(n) = n**3 - 3*n**2 + 2*n + 2. Let w be d(2). Find the second derivative of -2*f - 4*f**w + 4*f**h - f**3 wrt f.
-6*f
Let z = -23 - -16. Let r = -5 - z. What is the third derivative of 0*w**5 - 4*w**2 + 2*w**5 + w**r wrt w?
120*w**2
Let z(s) be the first derivative of 0*s**4 + 0*s + 0*s**2 + 1/6*s**6 + 0*s**5 - 3 + 1/3*s**3. Find the third derivative of z(m) wrt m.
60*m**2
Let w(z) be the second derivative of -5*z**3/6 - 2*z**2 - 5*z. Differentiate w(j) with respect to j.
-5
Let l(p) = -8*p**4 - 4*p - 1. Let v(x) = 7*x - 16*x**4 - 14*x - 2 + x**4. Let h(m) = -7*l(m) + 4*v(m). Find the first derivative of h(r) wrt r.
-16*r**3
Let k(g) be the third derivative of 1/15*g**5 - 6*g**2 + 0*g + 0 + 7/6*g**3 + 0*g**4. What is the derivative of k(d) wrt d?
8*d
Let l(d) be the third derivative of -d**8/336 - d**7/42 + 4*d**5/5 + 4*d**2 + d. What is the third derivative of l(y) wrt y?
-60*y**2 - 120*y
Let z(h) be the first derivative of h**5/5 - 3*h - 4. What is the derivative of z(q) wrt q?
4*q**3
Let q(u) = -28*u**2 + 5*u - 43. Let r(z) = 27*z**2 - 4*z + 42. Let b(g) = 4*q(g) + 5*r(g). Differentiate b(y) wrt y.
46*y
Let s(h) be the second derivative of h**5/30 + h**4/4 + 7*h**3/6 + h. Let t(n) be the second derivative of s(n). What is the first derivative of t(b) wrt b?
4
Let a(x) = 8*x - 20. Let d(w) = 1. Let z(b) = -2*a(b) + 2*d(b). Differentiate z(n) with respect to n.
-16
Let b be 8/(-20) - 92/(-5). Let i be 40/b - 20/90. Find the first derivative of 2 - 4*x + i*x**3 + 4*x wrt x.
6*x**2
Let a(k) be the third derivative of 13*k**7/105 - k**6/60 - k**5/60 + 7*k**3/6 - 4*k**2 + k. Find the third derivative of a(w) wrt w.
624*w - 12
Let p(j) be the first derivative of j**2 - 7*j - 7. Differentiate p(v) with respect to v.
2
Suppose -5*m = 3*v - 19, -m + 5*v + 15 = -0*m. Find the third derivative of 2*u**4 - 4*u**4 - 5*u**2 + m*u**4 wrt u.
72*u
Let t(o) be the first derivative of o**6/6 - o**5/5 + 25*o**3 + 31. What is the third derivative of t(f) wrt f?
60*f**2 - 24*f
Find the third derivative of -6*u**4 - 3*u**2 + 22*u**4 - 11*u**4 wrt u.
120*u
Suppose -5*b - 10 = -10*b. Find the second derivative of 3*y - y**4 - y**4 + b*y wrt y.
-24*y**2
Suppose -3 = -w + 1. Find the first derivative of w + 0 + q - 6 + 3 wrt q.
1
Let f be (0/(7 + -3))/1. Let l = -7 + 12. Find the second derivative of 3*x**3 + 3*x + 0*x + f*x**3 - l*x wrt x.
18*x
Suppose d + n + 0 = 9, 5*d - 75 = 5*n. What is the third derivative of 4*m**2 + 5*m**5 - d*m**3 + 12*m**3 wrt m?
300*m**2
Let r(s) be the first derivative of 22*s**3/3 + 3*s**2 - 4. Find the second derivative of r(h) wrt h.
44
Let o(m) = -5*m + 2. Let y(l) = 11*l - 4. Let d(k) = -9*o(k) - 4*y(k). Let j be d(4). Find the second derivative of r**j + r**2 + 2*r - 4*r**2 wrt r.
-4
Let k(x) be the first derivative of -x**8/8 + x**4/2 + 5*x - 2. Let b(a) be the first derivative of k(a). What is the third derivative of b(g) wrt g?
-840*g**3
Suppose 6*h - 4*h = 0. Suppose -3*z - 8 = 4*v, h = 5*v + z + z + 3. Differentiate -1 + 1 - s**3 + 4*s**3 - v with respect to s.
9*s**2
What is the derivative of -7*s**3 - 6*s**3 + 3 - 2 + 13 wrt s?
-39*s**2
Let s(u) be the second derivative of 5*u**7/42 + u**3/2 - 4*u. Find the second derivative of s(p) wrt p.
100*p**3
Let j(f) be the first derivative of -17*f**7/7 + 6*f**3 - 24. What is the third derivative of j(m) wrt m?
-2040*m**3
Let c be 4 + -4 + 1 + 2. Suppose i = c*i - 2. What is the second derivative of 0 - 1 - 3*g - 2*g**4 + i wrt g?
-24*g**2
Let v(o) be the first derivative of 0*o**4 - 6*o + 0*o**2 + 0*o**3 + 1 + 6/5*o**5. Find the first derivative of v(x) wrt x.
24*x**3
Suppose 3*k + k - 2*u - 4 = 0, 0 = -4*u + 8. What is the second derivative of 2*x**2 - x**2 - 3*x**2 + x + 3*x**k wrt x?
2
Find the second derivative of -105*w - 3*w**4 + 94*w - 3*w**4 - w**4 wrt w.
-84*w**2
Let m(i) be the second derivative of 6*i + 0*i**2 + 0*i**5 + 0*i**6 + i**3 + 0*i**4 + 0 + 2/21*i**7. Find the second derivative of m(j) wrt j.
80*j**3
Let u(r) be the second derivative of r**8/2240 - r**7/2520 - 5*r**4/12 - 5*r. Let g(t) be the third derivative of u(t). Find the third derivative of g(z) wrt z.
18
What is the second derivative of -6*f - 5*f + 27*f**3 - 29*f**3 wrt f?
-12*f
Let i(a) be the second derivative of -a**8/1680 - a**6/240 - a**4/12 - 2*a. Let v(w) be the third derivative of i(w). Find the second derivative of v(s) wrt s.
-24*s
Let r(t) be the third derivative of t**6/120 + 11*t**5/30 - 6*t**2. What is the third derivative of r(c) wrt c?
6
Find the first derivative of 2*j**3 + j**3 - 5 - 2*j**3 wrt j.
3*j**2
Let q(d) = -d - 4. Let c be q(-4). Let u(m) = -m**2 - m + 3. Let o be u(c). Differentiate 3 - 2*y**2 - 4 + o wrt y.
-4*y
What is the third derivative of -55 + 55 + 13*n**2 - 19*n**4 - 9*n**4 wrt n?
-672*n
What is the derivative of -35*z**3 + 36 + 12*z**3 - 18 - 43 wrt z?
-69*z**2
Let p(k) be the second derivative of -1/6*k**3 + 0*k**5 + 1/14*k**7 - 2*k + 0 + 0*k**6 + 0*k**4 + 0*k**2. What is the second derivative of p(h) wrt h?
60*h**3
Suppose 0 = -5*n + 8*n - 15. What is the third derivative of -l**2 + 6*l**5 - 2*l**n - l**2 wrt l?
240*l**2
Let m(r) = -9*r**4 + 12*r**2 + 5. Let p(z) = 4*z**4 - 6*z**2 - 2. Let d(l) = 2*m(l) + 5*p(l). What is the third derivative of d(q) wrt q?
48*q
What is the third derivative of 2*y**3 - 34*y**3 - 8*y**2 + 9*y**2 - 22*y**2 wrt y?
-192
Differentiate 2 + 5 - 17*v**3 - 5 - 1 wrt v.
-51*v**2
Let j(b) be the second derivative of -49*b**4/12 - b**3 + 5*b - 1. What is the second derivative of j(a) wrt a?
-98
Find the third derivative of -9*p**6 + 3*p**2 - 367*p**4 + 367*p**4 wrt p.
-1080*p**3
Let u(o) be the second derivative of -o**5/120 + o**4/12 + o**3/2 - o. Let y(s) be the second derivative of u(s). What is the first derivative of y(b) wrt b?
-1
Let c(h) be the first derivative of 23*h**6/6 - 4*h**3/3 - 7. What is the third derivative of c(x) wrt x?
1380*x**2
Let w(x) = 3*x**3 - 2*x**2 + 4*x + 2. Let p(a) = 10*a**3 - 7*a**2 + 13*a + 7. Let d(f) = -2*p(f) + 7*w(f). What is the second derivative of d(c) wrt c?
6*c
Let r(k) = -k**4 + k**2 - k. Let y(b) = b**4 + 6*b**2 - 4*b. Let c(o) = -4*r(o) + y(o). What is the third derivative of c(t) wrt t?
120*t
Let w(p) be the third derivative of 0 - 2*p**2 + 1/20*p**5 + 0*p**4 + 1/6*p**3 + 0*p. What is the first derivative of w(v) wrt v?
6*v
Let c(v) = -20*v**2 + 3*v - 14. Let q(t) = 221*t**2 - 34*t + 153. Let d(m) = 34*c(m) + 3*q(m). What is the derivative of d(r) wrt r?
-34*r
Let k(q) be the first derivative of -q**4/2 + 2*q**3/3 + 2. What is the third derivative of k(r) wrt r?
-12
Let d(j) be the third derivative of 0*j**6 + 0*j + 7*j**2 + 1/30*j**5 + 2/105*j**7 + 0*j**4 + 0*j**3 + 0. Find the third derivative of d(z) wrt z.
96*z
Let m(r) = r**2 + 10*r + 9. Let y be m(-9). Let d = 1 - y. What is the first derivative of 2 - 4*z + 2*z + 5*z - d wrt z?
3
What is the third derivative of 9*x - x**6 + 30*x**2 - 9*x - 2*x**6 wrt x?
-360*x**3
Let x(q) = -q**2. Let c = 14 - 8. Suppose 10*a + 4 = c*a. Let l(m) = 4*m**2 + 3*m. Let f(j) = a*l(j) - x(j). Find the second derivative of f(h) wrt h.
-6
Let x(h) be the second derivative of 3/2*h**2 + 1/3*h**3 + 0 - h. What is the derivative of x(z) wrt z?
2
Let b(j) be the third derivative of 2*j**7/105 - j**5/30 + 2*j**2. What is the third derivative of b(h) wrt h?
96*h
Let k(j) be the second derivative of j**7/7 + j**3 + 2*j. What is the second derivative of k(g) wrt g?
120*g**3
What is the first derivative of -3*z + 5*z + 4*z + 7 + z wrt z?
7
Let h(u) = -u**2 + 1. Let f(s) = 73*s**2 + 22*s - 3. Let i(o) = f(o) + 3*h(o). What is the second derivative of i(p) wrt p?
140
Let w(l) be the second derivative of 5*l**7/21 + 4*l**3/3 - 8*