f x(v) wrt v?
-4*v
Let v(q) = 10*q**2 + 1. Let a(p) = -21*p**2 - 1. Let k(z) = -3*a(z) - 7*v(z). Find the first derivative of k(h) wrt h.
-14*h
Find the first derivative of 4*x**3 - 19*x**3 - 17*x**3 + x**3 - 19 wrt x.
-93*x**2
Let v(d) = -8*d**4 + 5*d**3 + 5*d**2 + 5. Let r(y) = 8*y**4 - 4*y**3 - 4*y**2 - 5. Let g(n) = -5*r(n) - 4*v(n). What is the derivative of g(j) wrt j?
-32*j**3
Let r be (-1)/4 + (-3)/(-12). Suppose r*y - y = 0. Find the third derivative of 0*k + 2*k**3 + y*k - 2*k**2 wrt k.
12
Let n(o) be the second derivative of 7*o**3/3 + 10*o**2 - 29*o. What is the first derivative of n(x) wrt x?
14
Let x = -153 - -1837/12. Let s(t) be the second derivative of 0*t**2 + 0 - x*t**4 + 0*t**3 - 1/20*t**5 - 2*t. What is the third derivative of s(o) wrt o?
-6
Let g(q) = -12*q**4 - 9*q**3 + 9*q + 7. Let d(n) = -3*n**4 - 2*n**3 + 2*n + 2. Let k(b) = -9*d(b) + 2*g(b). Differentiate k(x) with respect to x.
12*x**3
Let k(x) be the third derivative of -x**7/30 + x**5/12 - 6*x**2. What is the third derivative of k(n) wrt n?
-168*n
Let n(v) be the third derivative of v**6/120 + 5*v**3/6 + 9*v**2. What is the derivative of n(f) wrt f?
3*f**2
Find the first derivative of -92*k**3 - 75*k**3 + 210*k**3 - 82*k**3 + 1 wrt k.
-117*k**2
Let v(a) = -a**3 + 2*a - 1. Suppose 2*f = 4*m - 2*f - 8, 6 = m - 2*f. Let s(t) = t - 1. Let x(i) = m*v(i) + 4*s(i). Differentiate x(p) with respect to p.
6*p**2
Let k(p) be the first derivative of -6*p - 9/2*p**2 - 1. What is the derivative of k(j) wrt j?
-9
Let l(h) be the first derivative of -h**6/6 + 2*h**3/3 + 6*h**2 + 2. Find the second derivative of l(y) wrt y.
-20*y**3 + 4
Let s(p) be the first derivative of -p**6/180 + p**5/24 + p**3/3 + 5. Let x(l) be the third derivative of s(l). Find the second derivative of x(b) wrt b.
-4
Let n(p) = -4*p**3 + 2*p. Let o(r) = r**3 + r - 1. Let k(x) = n(x) - 2*o(x). What is the first derivative of k(q) wrt q?
-18*q**2
Let f(t) be the third derivative of t**8/16 - 7*t**5/30 + 9*t**2. What is the third derivative of f(g) wrt g?
1260*g**2
Let t(k) = -3*k**2 - 1. Let o(g) = 1. Suppose -m - 18 = 2*m. Let j(c) = m*o(c) - t(c). Find the first derivative of j(l) wrt l.
6*l
Let s(o) = -o**3 - 8*o**2 + 5. Let v be s(-8). What is the third derivative of u**2 + u**3 + u**5 + u**v - u**3 wrt u?
120*u**2
Let s(w) be the second derivative of -w**9/3780 + w**7/840 + w**4/3 + 5*w. Let q(a) be the third derivative of s(a). What is the third derivative of q(t) wrt t?
-96*t
Let x(m) = -m**2 - 1. Let a(l) = -5*l**3 - 9*l**2 - 4. Let w(o) = a(o) - 4*x(o). What is the third derivative of w(g) wrt g?
-30
Let k(d) = 336*d + 448. Let f(o) = -21*o - 28. Let c(r) = 49*f(r) + 3*k(r). What is the first derivative of c(s) wrt s?
-21
Let k(g) = -g**4 + g**3 + g**2 - g. Let b(s) = -39*s**4 + 5*s**3 + 5*s**2 - 5*s - 5. Let n(d) = b(d) - 5*k(d). What is the derivative of n(a) wrt a?
-136*a**3
Let o(y) = -y - 4. Let b = 14 - 21. Let j be o(b). What is the second derivative of 5*a - 2*a - 3*a**j - 2*a wrt a?
-18*a
Let f = -2 + 4. Find the third derivative of -4*l**2 + l**3 - l**2 + l**f + 7*l**2 wrt l.
6
Let x be (6/8)/((-4)/(-16)). Let a(j) be the second derivative of j + 1/10*j**5 + 0*j**x + 0 - 1/12*j**4 + 0*j**2. Find the third derivative of a(n) wrt n.
12
Let y(m) = 2*m + 12. Let i be y(-4). Let d(l) be the first derivative of -1/2*l**i - l**2 + 0*l + 1 + 0*l**3. Find the second derivative of d(c) wrt c.
-12*c
Let n = 1 - 1. Suppose -12 = -3*k - n*k. Find the second derivative of 4 + 2*l - k - l**2 wrt l.
-2
Let h(u) be the second derivative of 0*u**3 - 6*u + 1/42*u**7 + 0*u**2 - 7/12*u**4 + 0*u**5 + 0*u**6 + 0. Find the third derivative of h(d) wrt d.
60*d**2
Let k(f) = -3*f + 5. Let t(w) = 16*w - 24. Let g = 1 + -3. Let o(j) = g*t(j) - 11*k(j). What is the first derivative of o(c) wrt c?
1
Let f(x) = x**2 + 2*x. Let s(z) = -z**3 - 5*z**2 - 11*z. Let t(l) = -33*f(l) - 6*s(l). Find the third derivative of t(m) wrt m.
36
Let r(i) = -10*i**4 - 4*i**3 + 4*i + 7. Let p(t) = -20*t**4 - 7*t**3 + 7*t + 15. Let g(c) = -4*p(c) + 7*r(c). Differentiate g(v) with respect to v.
40*v**3
Let s(o) be the third derivative of -7*o**6/120 + o**4/4 - 2*o**2. Find the second derivative of s(t) wrt t.
-42*t
Suppose 2*n = 2 - 4, 3*u - 6 = -3*n. Suppose 4 = u*x - 4*x + 2*t, -12 = -4*x + t. What is the first derivative of 0*j**4 + 0 + j**x - 3 wrt j?
4*j**3
Let j be (1 - 1)/3 + 2. Suppose 3*g - y = 12 - 2, -12 = -4*g + j*y. Differentiate -2 - 5*v**4 + 6*v**g + v**4 with respect to v.
8*v**3
What is the first derivative of -1 + 10*t - 2*t - 7*t wrt t?
1
Suppose -5*k + g - 21 = 0, -3*k - 5*g = -5*k - 13. Let t = k + 6. What is the third derivative of 2*h**2 - t + 2 - 2*h**4 wrt h?
-48*h
Let q(n) be the third derivative of -5*n**4/24 - 19*n**3/6 + 2*n**2. Let l(y) = -y - 4. Let b(p) = -11*l(p) + 2*q(p). Differentiate b(t) wrt t.
1
Let l be (-1 - 0)/(3/9). Let w = 3 + l. Differentiate 2*s**3 + 0 + 1 + w with respect to s.
6*s**2
Let k(y) = y**3 + 5*y**2 - 7*y. Let d be k(-6). What is the derivative of -7 - 2*z + 2*z + d*z wrt z?
6
Suppose -p = 4*z - 4 - 2, z + 3 = 2*p. Find the second derivative of 9*y**3 - 5*y + y + 9*y**p - 9*y**2 wrt y.
54*y
Suppose 8 - 2 = 2*k. Find the second derivative of u**2 + 3*u**4 + k*u**2 - 4*u**2 + 2*u wrt u.
36*u**2
Suppose 0 = -4*s - 5*x + 39, x - 3*x + 42 = 4*s. Suppose -s = -4*a + 1. What is the second derivative of 0 - 4*c - 1 - a*c**2 + 1 wrt c?
-6
Suppose 2*w - 21 = w - 4*k, 0 = 3*w + 5*k - 35. What is the first derivative of w*c**3 - 2*c**3 + 0*c**3 - 4 + 1 wrt c?
9*c**2
Let s(y) = 51*y**4 + y**3 + y**2 + y - 44. Let q(g) = -g**4 - g**3 - g**2 - g - 1. Let v(o) = -q(o) - s(o). What is the first derivative of v(h) wrt h?
-200*h**3
Find the first derivative of -2*z**2 + 7 + 4 - 1 - 4 wrt z.
-4*z
What is the third derivative of 82*g - 82*g + 5*g**2 - 10*g**4 wrt g?
-240*g
Let h(w) be the first derivative of 3*w**4 + 2*w**3/3 + 3*w**2/2 - 52. Find the third derivative of h(p) wrt p.
72
Let y(r) = 7 + 2 + 5*r - 4 + 0 - 11*r**2. Let t(j) = -j**2 + 1. Let w(g) = -5*t(g) + y(g). What is the second derivative of w(x) wrt x?
-12
Let q be (-18)/(-4) - 3/6. Differentiate 6*y**3 - q + 422*y - 422*y with respect to y.
18*y**2
Let w(x) be the third derivative of x**7/14 - 2*x**4/3 - 16*x**2. Find the second derivative of w(k) wrt k.
180*k**2
Find the third derivative of -17*y**4 + y**4 + 8*y**4 + 4*y**2 wrt y.
-192*y
Let t(h) = 6*h**2. Let s be t(1). Differentiate -s*q**3 + 8 + 5*q**3 + 3*q**3 + 3*q**3 with respect to q.
15*q**2
Let q(s) = s**3 + 4*s**2 + 3*s + 1. Let u be q(-2). What is the third derivative of -3*c**5 + 7*c**5 - u*c**5 - 6*c**2 wrt c?
60*c**2
Let x(r) = -7*r. Let d(w) = -w**3 - 22*w. Let h(g) = 2*d(g) - 7*x(g). What is the second derivative of h(j) wrt j?
-12*j
Let u be (-6)/4*32/(-16). Differentiate 4*z**2 - u + 5*z**2 + 0*z**2 with respect to z.
18*z
Suppose -2*h + 16 = 2. Let g = h - 2. Find the second derivative of 0*s - s**g + 6*s - 3*s - 3*s**5 wrt s.
-80*s**3
Let g(n) be the second derivative of n**4/4 + n**3 + 9*n. What is the second derivative of g(s) wrt s?
6
Let z(p) be the first derivative of -8*p - 6/5*p**5 + 1 + 0*p**3 + 0*p**2 + 0*p**4. Find the first derivative of z(f) wrt f.
-24*f**3
Let r be (-1)/((-8)/6)*4. Suppose b + r - 5 = 0. What is the first derivative of 6*w**2 + 1 - 6*w**b - w**4 wrt w?
-4*w**3
Let f be 4 - ((-3)/(-1))/(-3). Suppose 5 = 5*t - f. What is the third derivative of 3*d**2 + d**5 + 2*d**2 - 4*d**t wrt d?
60*d**2
Suppose -m - 2*m = -12. What is the third derivative of 2*l**4 + 3*l**4 - 2*l**m - 7*l**2 wrt l?
72*l
Let p(k) = -5*k**2 - 2*k - 1. Let q(d) = 4*d**2 + 3*d + 1. Let c(z) = 3*p(z) + 2*q(z). What is the first derivative of c(i) wrt i?
-14*i
Let d(h) be the first derivative of h**8/14 + h**4/2 - 10*h + 2. Let y(o) be the first derivative of d(o). Find the third derivative of y(r) wrt r.
480*r**3
What is the third derivative of -13*c**2 + 9*c**2 - 4*c**2 + 24*c**4 - 19*c**2 wrt c?
576*c
Let z(b) = -6*b**4 + 7*b**3 + 7*b**2 + 5*b - 1. Let m(w) = w**4 + w**3 - w**2 - w. Let d(q) = 5*m(q) + z(q). Find the third derivative of d(i) wrt i.
-24*i + 72
What is the third derivative of -8 + 7*z**2 + 9 - 1 - 2*z**6 wrt z?
-240*z**3
Let v(f) = 53*f**3 + 5*f**2 - 49*