
30*k
Differentiate -8*v**4 - 3 + 4 + 25*v**4 + 2 with respect to v.
68*v**3
Find the second derivative of -2*i**2 - 14*i + 31*i**2 - 11*i wrt i.
58
Let c(p) be the second derivative of -4*p**3/3 - p**2 - 2*p. Differentiate c(s) wrt s.
-8
Suppose -u - 4 = 3*i + 1, 3*u + 4*i = -25. Let a = u + 17. Find the third derivative of -2*l**6 + 0*l**a + 2*l**2 - l**2 wrt l.
-240*l**3
Let i = 16 - 10. What is the third derivative of -2*s**2 + 0*s**2 + i*s**2 + 3*s**3 wrt s?
18
Suppose -2*c + 3*s = 1, 3*c + 3 + 0 = 5*s. Suppose k - 5*k + 16 = 0. Find the second derivative of 4 + 0 - 3*g - k + c*g**5 wrt g.
80*g**3
Let t(n) be the first derivative of -12*n**5/5 - 23*n**3/3 - 15. Find the third derivative of t(m) wrt m.
-288*m
Let f(b) = b + 8. Let n(x) = -1. Let j(c) = c + 1. Let m be j(0). Let r(i) = m*f(i) + 6*n(i). Differentiate r(s) with respect to s.
1
Let q = 20 + -20. Let s(b) be the second derivative of 0*b**4 + 1/6*b**3 + q*b**2 + 0 - 1/20*b**5 + b. Find the second derivative of s(r) wrt r.
-6*r
Let j(i) be the first derivative of 0*i**3 + 0*i**4 + 0*i + 1 + 0*i**5 + 1/3*i**6 + 1/2*i**2. Find the second derivative of j(l) wrt l.
40*l**3
Let b(g) = 40*g**5 - 5*g**3 - 5*g**2 - 13*g. Let y(s) = s**5 - s**3 - s**2 - s. Let d(t) = -b(t) + 5*y(t). Find the second derivative of d(c) wrt c.
-700*c**3
Let a(b) = -b**2 - b + 2. Let c be a(0). Find the third derivative of 0*u**3 + 0*u**3 + 29*u**5 - 7*u**c - 23*u**5 wrt u.
360*u**2
Let p(o) = -1 - 5*o**3 + 2*o**3 + o + 4*o**3. Let k(u) = -2*u + 3. Let h = 0 + 1. Let t(i) = h*k(i) + 2*p(i). Differentiate t(w) wrt w.
6*w**2
Let r(u) be the second derivative of 0 + 0*u**2 - 5/12*u**4 + 0*u**5 - 4*u + 0*u**3 + 1/15*u**6. What is the third derivative of r(y) wrt y?
48*y
Let p = 2 + 2. What is the third derivative of -p*d**2 + 6*d**2 - d**3 + 4*d**2 - 3*d**2 wrt d?
-6
Let z(l) = -8*l**3 + l**2 + 4. Let r(x) = 2 + 9 + 2*x**3 + 2*x**2 - 25*x**3. Let o(c) = -4*r(c) + 11*z(c). What is the third derivative of o(v) wrt v?
24
Let h(c) = -88*c**3 + 5*c**2 + 5*c - 43. Let b(z) = -220*z**3 + 12*z**2 + 12*z - 108. Let q(t) = 5*b(t) - 12*h(t). Differentiate q(s) with respect to s.
-132*s**2
Let q(g) = g**2 + 12*g + 15. Let t be q(-11). Suppose -8*b + 8 = 4*o - 4*b, t*b + 16 = 2*o. Find the first derivative of -4 + o*y**4 + 4*y - 4*y wrt y.
16*y**3
Let l(n) be the third derivative of n**8/84 + n**4/6 - 18*n**2. Find the second derivative of l(t) wrt t.
80*t**3
Let a(w) = 485*w**4 + 110*w**2 + 45*w. Let s(d) = -22*d**4 - 5*d**2 - 2*d. Let o(z) = -2*a(z) - 45*s(z). What is the third derivative of o(n) wrt n?
480*n
Find the third derivative of -4*y**6 - 2*y**6 + 2*y**6 + 6*y**2 wrt y.
-480*y**3
Let m(s) be the second derivative of -19*s**6/30 - 17*s**3/6 + 22*s. Find the second derivative of m(t) wrt t.
-228*t**2
Let c(x) = 4*x**4 + 53*x**2 - 9*x + 9. Let t(d) = -d**4 - 13*d**2 + 2*d - 2. Let l(z) = -2*c(z) - 9*t(z). What is the third derivative of l(f) wrt f?
24*f
Let n be (3/(-2))/(4/(-8)). Let p be 0/(-2) + (1 - -1). What is the third derivative of m**2 - n*m**4 + m**2 + 0*m**p wrt m?
-72*m
Let z(i) = -23*i**3 + 29*i**2 + 7*i + 7. Let n(u) = 12*u**3 - 14*u**2 - 3*u - 3. Let w(d) = 7*n(d) + 3*z(d). What is the third derivative of w(m) wrt m?
90
Let y be (22/(-33))/(4/(-3)). Let z(f) be the first derivative of 0*f**3 + 1 + 0*f - y*f**2 - 1/2*f**4. Find the second derivative of z(q) wrt q.
-12*q
Let h(n) be the third derivative of -43*n**5/60 + n**4/2 + n**3/6 - n**2 + 24*n. Find the second derivative of h(j) wrt j.
-86
Let i(m) = m**2 - m. Let y be i(2). Differentiate 0 + 0*t**2 - 1 - t**y wrt t.
-2*t
Let u(k) = -k**3 - k**2 + k - 1. Let d(i) = 3*i**4 - 2*i**3 - 2*i**2 + 2*i - 9. Let z(m) = d(m) - 2*u(m). What is the derivative of z(t) wrt t?
12*t**3
Let l(t) = -2*t**2 - 6. Let u(w) = -2 + 3 + 0. Let o(b) = l(b) + 4*u(b). Differentiate o(p) with respect to p.
-4*p
Let p(i) be the third derivative of i**7/35 + 5*i**4/24 - 6*i**2. What is the second derivative of p(v) wrt v?
72*v**2
Suppose -m + 6*m - 15 = 0. Find the second derivative of -3 + 3 + 3*c + m*c**3 wrt c.
18*c
Let t(c) = -17*c**5 + 2*c**4 + 2*c**3 - 33*c - 2. Let h(g) = -g**4 - g**3 - g + 1. Let v(r) = 2*h(r) + t(r). What is the second derivative of v(a) wrt a?
-340*a**3
Let k be (10/6 - 2)*-6. Suppose 4 = -k*f + 18. What is the derivative of 4*l - 4*l - 1 - 4*l**4 + f*l**4 wrt l?
12*l**3
What is the third derivative of -w**4 + 13*w**2 - 32*w**2 + 14*w**2 wrt w?
-24*w
Let r = -101 - -106. Let g(k) be the first derivative of 0*k**4 + 1/2*k**6 - k**3 + 0*k**2 + 0*k**r + 2 + 0*k. What is the third derivative of g(z) wrt z?
180*z**2
Let s(g) = -g**2 - g + 1. Let t(y) = -5*y**2 + 6. Let n(a) = 6*s(a) - t(a). Find the second derivative of n(x) wrt x.
-2
Let f(d) be the second derivative of -d + 1/6*d**4 + 0*d**2 + 0*d**5 + 0 + 0*d**3 - 1/10*d**6. Find the third derivative of f(j) wrt j.
-72*j
Let g(n) be the second derivative of n**8/4 - n**7/21 + 5*n**4/4 + n**3/6 + 35*n + 1. What is the third derivative of g(w) wrt w?
1680*w**3 - 120*w**2
Suppose -2*t + 4*t = 5*b - 26, -3*b = t - 9. Let x(k) be the second derivative of 0 + 0*k**3 + 0*k**b + k**2 + 1/20*k**5 - 2*k. Differentiate x(m) wrt m.
3*m**2
Let r(q) = -q**2 - q - 1. Suppose 0*b = 3*b - 12. Let k(a) = -5 - 6*a**2 - a**2 - 1 - 4*a. Let s(d) = b*r(d) - k(d). Differentiate s(t) with respect to t.
6*t
Let d = 17 - 13. Find the second derivative of 4*c**4 + 4*c - d*c**4 - 2*c**5 wrt c.
-40*c**3
Suppose 0 = 6*k - 5*k. Let h(y) be the second derivative of 0 - 3*y + k*y**2 + 0*y**3 - 1/6*y**4 - 1/4*y**5. Find the third derivative of h(u) wrt u.
-30
Let q be 2/(1 + 2/(-4)). Differentiate 3*l**4 - l**4 - 4 + 2 + q wrt l.
8*l**3
Let q(c) be the second derivative of 17*c**8/28 - 4*c**4/3 + 18*c. What is the third derivative of q(t) wrt t?
4080*t**3
Let k(l) = 2*l**3 - l**2 + 2*l - 1. Let v be k(1). What is the third derivative of 21*r**v + 3*r**6 - 2*r**6 - 17*r**2 wrt r?
120*r**3
Let k(p) be the third derivative of -p**6/30 - 3*p**4/8 - 7*p**2. Find the second derivative of k(f) wrt f.
-24*f
Let y(w) be the first derivative of -23*w**5/5 + 10*w**3/3 - 37. Find the third derivative of y(d) wrt d.
-552*d
Let y(o) be the first derivative of -o**7/21 - o**4/3 + 3*o - 2. Let u(m) be the first derivative of y(m). What is the third derivative of u(b) wrt b?
-120*b**2
Let k be 5 - ((3 - 1) + -1). Differentiate 2*p**3 - 2 - k*p**3 + p**3 - 2*p**3 with respect to p.
-9*p**2
Differentiate 11*j**3 - 9 + 1 - 29*j**3 - 8 wrt j.
-54*j**2
Find the second derivative of s - 48*s**2 - 4*s + 43*s**2 wrt s.
-10
Let b(g) = -g**3 - 6*g - 1. Let q(r) = -r**3 - 5*r. Let y(p) = -5*b(p) + 6*q(p). Find the first derivative of y(x) wrt x.
-3*x**2
Suppose -3*s = -6*s - 9. Let x = -10 - -14. Let o(c) = -6*c + 6. Let q(n) = -7*n + 7. Let k(b) = s*q(b) + x*o(b). What is the derivative of k(z) wrt z?
-3
Let r(s) = 21*s**3 - 5*s**2 + 49*s + 5. Let y(z) = -11*z**3 + 2*z**2 - 24*z - 2. Let o(v) = 2*r(v) + 5*y(v). What is the second derivative of o(i) wrt i?
-78*i
What is the third derivative of 2*k**2 + k**3 + 3*k + 0*k**2 - 3*k wrt k?
6
Let w(y) = -4*y**2 - y + 6. Let v(h) = 7*h**2 + h - 11. Let z(l) = 4*l - 5. Let i be z(4). Let c(g) = i*w(g) + 6*v(g). Find the second derivative of c(t) wrt t.
-4
Suppose 4*c + 12 = 32. Differentiate 2 - 1 + 2 - 2*w**2 - c wrt w.
-4*w
Let y(r) be the first derivative of r**8/1680 - r**5/40 + 2*r**3/3 - 4. Let v(s) be the third derivative of y(s). Find the second derivative of v(b) wrt b.
12*b**2
Find the third derivative of 2*y**2 - y**4 - 4*y**2 + 6*y**4 wrt y.
120*y
Suppose 0 = w - 6 + 1. What is the second derivative of t**w - 5 + 0*t + 5 + 3*t wrt t?
20*t**3
Let a = 18 - 18. Let k(u) be the second derivative of -u - 1/3*u**3 + 0 + a*u**4 + 0*u**2 - 1/20*u**5. Find the second derivative of k(f) wrt f.
-6*f
Let m(l) = 48*l**4 - 2*l**2 - 2*l + 19. Let t(b) = -97*b**4 + 5*b**2 + 5*b - 37. Let d(a) = 5*m(a) + 2*t(a). What is the derivative of d(j) wrt j?
184*j**3
Suppose -h - 1 = -c + 1, 0 = 4*c - 3*h - 10. What is the derivative of -2 - 2*r**c - 3 + 1 wrt r?
-8*r**3
Let r(w) = w**2 - w. Let o be r(2). Let d(i) = -i**2 + 3*i + 1. Let x be d(o). What is the second derivative of -2*q - 3*q**2 + x*q**2 + q**5 wrt q?
20*q**3
Let t