k.
-4*k
Let t(l) be the first derivative of -l**5/5 + l**4/12 - 2*l - 2. Let h(r) be the first derivative of t(r). Find the third derivative of h(p) wrt p.
-24
Let q(b) be the third derivative of -2*b**9/63 + b**5/30 + 15*b**2. Find the third derivative of q(z) wrt z.
-1920*z**3
Let w = 15/2 + -7. Let y(q) be the second derivative of w*q**3 + 0 + 0*q**2 - 1/4*q**4 - q. What is the second derivative of y(r) wrt r?
-6
Let k be (-4 - 0)*2/(-4). What is the third derivative of -32*v**2 + 3*v**4 + 15*v**2 + 9*v**k wrt v?
72*v
Differentiate 5 - 29*a - 15*a**4 + 11*a + 18*a wrt a.
-60*a**3
Find the third derivative of -6*r**2 + 3*r**3 + 4*r**3 + 7*r**2 - 3*r**3 wrt r.
24
Let s(q) be the third derivative of q**10/75600 - q**8/6720 - q**5/20 - q**2. Let r(b) be the third derivative of s(b). Find the third derivative of r(v) wrt v.
48*v
What is the second derivative of -h + 2*h - 3*h - h**4 + 0*h wrt h?
-12*h**2
Let k(i) be the second derivative of -4*i**5/5 + 12*i**2 + 33*i. What is the first derivative of k(f) wrt f?
-48*f**2
What is the second derivative of -8*f**3 + 0*f**3 - 3*f + 5*f**3 wrt f?
-18*f
Find the second derivative of 7*z - 18*z**5 + 15*z + 14*z + 2*z wrt z.
-360*z**3
Suppose -1 = 3*q - 5*a, 4*a - 4 = -2*q + 5*a. Let b(g) be the second derivative of -g**2 - g + 0 - 1/6*g**q. Differentiate b(y) wrt y.
-1
Let c be (-50)/(-20)*(-108)/(-10). Find the first derivative of -c*j**2 - j**3 + 2 + 27*j**2 wrt j.
-3*j**2
Let a(l) = -l**3 - 17*l**2 + 38*l. Let v be a(-19). Let y(j) be the second derivative of 2*j + v*j**3 + 0 - 3/2*j**2 - 1/6*j**4. Differentiate y(i) wrt i.
-4*i
Let t(q) = -q**2 - 4*q. Let c be t(-3). Suppose 3*o = -3*u + 12, -2*u + 1 + 2 = -c*o. Differentiate 4*k**3 + 0 - 3*k**4 - 2 - 4*k**u with respect to k.
-12*k**3
Let z = 14 - 14. Let s(a) be the first derivative of z*a + 1/4*a**4 + 0*a**3 + a**2 + 1. What is the second derivative of s(o) wrt o?
6*o
Find the third derivative of 5*f**2 + 14*f**2 + 2*f**2 - f**6 + 6*f**6 wrt f.
600*f**3
Let y(o) be the first derivative of -1/7*o**7 + 0*o**6 + 0*o**2 + 0*o**4 + 0*o**5 + 0*o + o**3 - 2. Find the third derivative of y(u) wrt u.
-120*u**3
Suppose 18 = 3*d - 7*i + 4*i, d - 14 = -i. Find the third derivative of -d + c**5 + 10 - 4*c**2 wrt c.
60*c**2
Let l(r) be the third derivative of r**8/6720 - r**6/720 - r**4/6 + 4*r**2. Let f(y) be the second derivative of l(y). Find the second derivative of f(t) wrt t.
6*t
Find the third derivative of -8*n**2 + 9*n**4 + 6*n**4 + 30*n**2 - 3*n**4 wrt n.
288*n
Let p(j) be the second derivative of j**3 + 3*j**2 + 3*j. What is the first derivative of p(a) wrt a?
6
Let q(z) = -z + 7. Let k be (-4)/10 - 54/(-10). Let b be q(k). Find the first derivative of l - l - 2 - b*l**3 wrt l.
-6*l**2
Let g(y) be the third derivative of y**7/21 - 17*y**4/24 + 15*y**2. Find the second derivative of g(i) wrt i.
120*i**2
Let g = 143/42 - 18/7. Let c(m) be the third derivative of -4*m**2 + 0*m**4 + 0*m**6 + 0*m + 0*m**5 + 0 + 1/210*m**7 + g*m**3. Differentiate c(i) wrt i.
4*i**3
Let v(l) be the second derivative of l**7/6 + 7*l**4/12 - 16*l. What is the third derivative of v(h) wrt h?
420*h**2
Let z(n) be the second derivative of -n**6/120 - n**4/4 - n**2 - 6*n. Let p(f) be the first derivative of z(f). Find the second derivative of p(k) wrt k.
-6*k
Let g(o) = 11*o**3 - 2*o**2 - 4. Let q(h) = 23*h**3 - 5*h**2 - 9. Let m(r) = -9*g(r) + 4*q(r). Find the third derivative of m(j) wrt j.
-42
Suppose 4*p = -2*y - 2*y, -y - 4 = 3*p. Find the third derivative of d**2 - 4*d**y - d**5 - 4*d**2 + 4*d**2 wrt d.
-60*d**2
Let l(w) = -8*w**3 + 9*w**2 + 9*w + 32. Let b(j) = 2*j**3 - 2*j**2 - 2*j - 8. Let i(o) = -9*b(o) - 2*l(o). What is the first derivative of i(n) wrt n?
-6*n**2
Let k(y) = y**3 + 10*y**2 - 2. Let f be k(-10). Let r = f + 4. What is the second derivative of -3*j - j + j**3 + r*j wrt j?
6*j
Let f(a) be the third derivative of a**7/210 + a**5/60 + 27*a**2. What is the third derivative of f(k) wrt k?
24*k
Let m(p) = -6*p**4 + 2*p**2 + 6*p. Let r(v) = v**5 + 11*v**4 - 3*v**2 - 11*v. Let q(h) = 11*m(h) + 6*r(h). Find the third derivative of q(b) wrt b.
360*b**2
Let z(n) = n**2 - n + 1. Let m(o) = 7*o**2 - 6*o + 5. Let t(j) = m(j) - 5*z(j). Find the second derivative of t(d) wrt d.
4
Let a(i) = -2*i - 8. Let l be a(-5). What is the third derivative of -2*o**2 + 6*o**2 + 4*o**5 - 7*o**2 + 5*o**l wrt o?
240*o**2
Let s(k) = -23*k + 21. Let u(a) = 11*a - 10. Let r(t) = 4*s(t) + 7*u(t). Differentiate r(b) wrt b.
-15
Suppose -5*i - 3*f + 1 = 0, 3*i = i + 5*f + 19. Find the second derivative of 0*q + 25*q**2 - 18*q**i + q wrt q.
14
Let i(f) be the first derivative of 3/2*f**2 - 3 - 2/5*f**5 + 0*f + 0*f**3 + 0*f**4. What is the second derivative of i(a) wrt a?
-24*a**2
Let p(b) be the second derivative of 7*b**4/12 + b**2 - 5*b. Find the first derivative of p(v) wrt v.
14*v
Let g(y) = 9*y. Suppose 6 = -2*f + 4. Let a(d) = d - 1. Let n(m) = f*g(m) + 2*a(m). Differentiate n(k) with respect to k.
-7
Let k(w) be the second derivative of -7*w**4/12 - w**2 - 5*w. Differentiate k(z) with respect to z.
-14*z
Let q(c) be the second derivative of 4*c - 1/5*c**5 + 0*c**3 + 0 + 0*c**4 + 3/2*c**2. Find the first derivative of q(r) wrt r.
-12*r**2
Differentiate 574*o - 33*o**2 + 15 - 574*o with respect to o.
-66*o
Let p(h) be the second derivative of h**10/7560 - h**7/1260 + h**4/3 + h. Let y(q) be the third derivative of p(q). Find the third derivative of y(s) wrt s.
240*s**2
Find the third derivative of -5*r**5 + 3*r**5 + 8*r**2 + 9*r**5 wrt r.
420*r**2
Differentiate -16 + 18 + 12 - 12*s wrt s.
-12
Let p = -1 - -3. What is the second derivative of -2*i + 4*i**2 + 0*i - i**p wrt i?
6
Let x(q) = 19*q**2 - q. Let u be x(-1). Suppose -z - z = 4*v - u, 5*v + z = 28. What is the third derivative of 2*s**2 + 0*s**2 - 3*s**v + s**6 wrt s?
-240*s**3
Find the first derivative of 18*a**3 - 18*a**3 - 6*a**4 + 1 wrt a.
-24*a**3
Let j(m) = 8*m**2 + 3. Let l(r) = 15*r**2 + 6. Let d be 44/6 - 5/15. Let c(v) = d*j(v) - 4*l(v). Differentiate c(s) wrt s.
-8*s
Let d(h) be the second derivative of -h**5/20 + 3*h**2 - 2*h. Find the first derivative of d(y) wrt y.
-3*y**2
Let j(x) = -2*x**5 - 9*x**2. Let o(m) = 5*m**5 + 17*m**2. Let b(h) = -7*j(h) - 4*o(h). Find the third derivative of b(i) wrt i.
-360*i**2
Let g = -11 - -15. Suppose 5*n - 10 = -3*i, -i + n = 3*n - 3. What is the second derivative of -i*x + g*x**3 + 3*x - 4*x**3 - x**4 wrt x?
-12*x**2
Let s = 1/14 - -2/21. Let q(t) be the second derivative of -1/12*t**4 + s*t**3 + 2*t + 0*t**2 + 0. What is the second derivative of q(l) wrt l?
-2
Let u(a) be the third derivative of 7*a**5/60 - 5*a**4/8 + 6*a**2. What is the second derivative of u(y) wrt y?
14
Let v be ((-2)/4)/((-2)/(-16)). Let o = v + 6. What is the first derivative of 0*g**3 + o - 2*g**3 + 4*g**3 wrt g?
6*g**2
Suppose 1 + 3 = d. Suppose u - 14 = 3*v, -u - u - d = 2*v. Find the first derivative of 2*s + 3*s**4 + 3 - u*s + 0*s wrt s.
12*s**3
What is the first derivative of 78*c - 85*c + 49*c + 35 wrt c?
42
Let q(x) = -4*x**4 - 2*x**2 - 2*x - 2. Let p(d) = 8*d**4 + 5*d**2 + 5*d + 4. Let j(u) = 4*p(u) + 10*q(u). Differentiate j(g) wrt g.
-32*g**3
Suppose -c - 12 = -4*c. Let s(r) = r**2 + 3*r + 4. Let l be s(-3). What is the second derivative of 0*x + 3*x**l - x**c + 2*x wrt x?
24*x**2
Let p(x) be the second derivative of -x**5/20 - 3*x**3/2 + 2*x. What is the second derivative of p(s) wrt s?
-6*s
Let w(x) be the second derivative of x**8/1680 - x**6/180 + x**3 - 3*x. Let i(y) be the second derivative of w(y). Find the third derivative of i(j) wrt j.
24*j
Let l(n) be the first derivative of 19*n**6/6 + 31*n**2/2 + 24. What is the second derivative of l(t) wrt t?
380*t**3
Suppose -5*t + 15 = -0*t. Let w(q) = -q**3 + 3*q**2 + 2*q - 1. Let l be w(t). Find the second derivative of -u - u**l + 3*u + 2*u**5 wrt u.
20*u**3
Let d(m) = m**4 - m**3 + m**2 + m + 1. Let n(y) = -28*y**4 - 3*y**3 + 3*y**2 + 3*y - 25. Let i(x) = -3*d(x) + n(x). Differentiate i(u) wrt u.
-124*u**3
Suppose 0 = -0*q + q - 2. Find the third derivative of 2*v**2 + v**5 - 2*v**5 + q*v**5 + 0*v**5 wrt v.
60*v**2
Let w = -6 - -9. Let y be w + -1 + 0 + 0. What is the third derivative of y*f**2 - 3*f**3 + 2*f**5 + f**3 + 2*f**3 wrt f?
120*