te y(j) with respect to j.
1
Let m be 128/72 + 2/9. Find the second derivative of 2*a**3 - 4*a - 2*a - 5*a**3 - m*a**3 wrt a.
-30*a
Let p(o) = -3*o - 2. Suppose i + 3*i = -24. Let h(u) = -u - 1. Let y(r) = i*p(r) + 15*h(r). What is the first derivative of y(m) wrt m?
3
Suppose 0*h = -3*c + 4*h + 31, -4*c - 3*h + 8 = 0. What is the second derivative of -3*w - c*w + 4*w + 8*w - 3*w**2 wrt w?
-6
Suppose a = 4*f - 15, 3*a + 1 = -f + 2*f. Let c be f/(-2) + 4*1. Find the first derivative of c*t - 4 + 0 + 0 + 0*t wrt t.
2
Let a(i) = -i**4. Let m(j) = -9*j**4 - 29*j. Let g(h) = 6*a(h) - m(h). Find the second derivative of g(y) wrt y.
36*y**2
Let q = 5 + 0. Let w be (-38)/(2 - (q - 1)). What is the second derivative of -22*t**3 + t + w*t**3 - 2*t wrt t?
-18*t
Suppose 0 = 7*y - 5*y - 6. Let g(f) be the third derivative of 0*f**4 + 1/60*f**5 + f**2 + 0*f + 0 - 1/3*f**y. Find the first derivative of g(w) wrt w.
2*w
Let p(s) be the second derivative of s**7/14 + 13*s**4/12 - 5*s. What is the third derivative of p(r) wrt r?
180*r**2
Let f(l) be the first derivative of 3*l + 1. Let i(c) = -c**3 - 6. Suppose 0 + 21 = -3*o. Let w(s) = o*f(s) - 3*i(s). Differentiate w(v) with respect to v.
9*v**2
Let j(w) be the first derivative of 0*w**2 - 8 + 0*w - 7/3*w**3 + 0*w**4 - w**5. What is the third derivative of j(h) wrt h?
-120*h
Find the third derivative of -43*k**2 - 5974 + 5974 - 17*k**6 wrt k.
-2040*k**3
What is the third derivative of 5*p**3 + 4*p - 3*p + p**6 + 0*p - 7*p**3 + 6*p**2 wrt p?
120*p**3 - 12
Find the second derivative of 21 + 8*p - p - 21 - 4*p**4 wrt p.
-48*p**2
Let a(i) = 10*i**3 + 11*i**2 - 4*i. Let h(j) = j**3 + j**2 - j. Let g(b) = a(b) - 4*h(b). Find the third derivative of g(q) wrt q.
36
Differentiate -2 - 1 - 7*s**4 - 1 + 15*s**4 wrt s.
32*s**3
Let w be 2/(-6) - 4/(-12). Suppose v = -0*v + 4*t + 8, w = 3*t + 3. What is the third derivative of -n**2 - n**2 - 3*n**v + 5*n**2 wrt n?
-72*n
Let x(c) be the first derivative of -c**10/5040 + c**6/180 - 2*c**3/3 - 3. Let z(q) be the third derivative of x(q). Find the third derivative of z(v) wrt v.
-120*v**3
Let k(s) be the first derivative of -1 + 1/12*s**4 + 0*s + 1/3*s**3 - 1/2*s**2. Let m(t) be the second derivative of k(t). Differentiate m(i) wrt i.
2
Suppose 6*i - 25 = i. Find the second derivative of p**3 - 4*p + 2*p**3 - i*p**3 wrt p.
-12*p
Let v(x) = x**3 + 7*x**2 - 23. Let m(o) = -3*o**2 + 11. Let u(n) = -7*m(n) - 3*v(n). Find the first derivative of u(g) wrt g.
-9*g**2
Suppose 13*g - 10 = 8*g. Find the first derivative of 9 + 5*y + y - 6*y + 6*y**g wrt y.
12*y
Find the first derivative of 1 - 2 + 3*b**4 - 4*b**4 wrt b.
-4*b**3
Let k = -6 + 8. Find the third derivative of -4*n**k + 6*n**4 + 5*n**6 + 2*n**2 - 6*n**4 wrt n.
600*n**3
Suppose 0 = -2*t + 7*t + 5, -4*x + t + 9 = 0. What is the second derivative of -4*d**x + 29 - d - 29 wrt d?
-8
Differentiate 0*z - 16*z + 26 + 2*z + 0*z wrt z.
-14
Suppose -6*h + 2*h + 8 = 0. What is the first derivative of 3*i**2 - 3*i**3 + 0*i**2 + 8 - 3*i**h wrt i?
-9*i**2
Let x(w) be the first derivative of 25*w**3/3 + w**2/2 + 32*w + 14. What is the second derivative of x(v) wrt v?
50
Let y(z) be the second derivative of z**2 + 1/6*z**4 + 0 + 2*z + 0*z**3. Differentiate y(x) with respect to x.
4*x
Suppose -3*u - u - 12 = 0. Let o(a) = -2*a - 4. Let n be o(u). What is the second derivative of j**2 - 3*j**2 + j**2 - n*j + 5*j wrt j?
-2
Suppose 0 = 2*n - 4*c + c - 20, 0 = 4*n - 3*c - 28. Differentiate -10 + 2 + 4 - 7*s**4 + 3*s**n wrt s.
-16*s**3
Suppose -3*z + 0*z = 0. Let t = 2 - 2. Find the second derivative of -f + t*f**3 + z*f + f**3 wrt f.
6*f
Let s(d) be the second derivative of -d**7/42 - d**3/6 + 9*d. What is the second derivative of s(u) wrt u?
-20*u**3
Let t(l) be the third derivative of 0 + 1/70*l**7 - 1/6*l**3 - 6*l**2 + 0*l**4 + 0*l**5 + 0*l + 0*l**6. Differentiate t(f) with respect to f.
12*f**3
Suppose 0 = j - 3 - 1. Differentiate -t - 1 + j*t + t wrt t.
4
Let r be (-5)/15*(0 - 0). Let f(t) be the second derivative of r + 3/20*t**5 + 0*t**2 + 3*t - 1/3*t**3 + 0*t**4. What is the second derivative of f(j) wrt j?
18*j
Let t(m) be the second derivative of 3*m**7/14 - m**3/6 + 4*m. What is the second derivative of t(b) wrt b?
180*b**3
Let v be (-7)/(49/6)*-7. What is the third derivative of -2*r**3 + 2*r**3 - 2*r**2 + r**v wrt r?
120*r**3
Let b(c) be the second derivative of 0 - 1/4*c**5 + 0*c**3 + 0*c**2 + 5/12*c**4 - 5*c. What is the third derivative of b(y) wrt y?
-30
Let f(h) = 3*h**3 + 2*h - 5. Let i = 7 + -9. Let l(j) = 13*j**3 + 9*j - 20. Let v(a) = i*l(a) + 9*f(a). What is the first derivative of v(b) wrt b?
3*b**2
Let q be 8/6*3/2. What is the third derivative of -v**q + 2*v**2 - 2*v**6 + v**6 + 2*v**2 wrt v?
-120*v**3
What is the derivative of 29 - 2*q**3 - 28 - 16*q**4 + 2*q**3 wrt q?
-64*q**3
Let j = 3 - 3. Suppose j = a - 6*a + 20. What is the third derivative of 2*z**3 - 3*z**2 + 4*z**2 - a*z**2 wrt z?
12
Suppose -3*y = -4*y + 6. Differentiate -3*d + 6*d + y*d + 1 - 5*d with respect to d.
4
Let n(o) be the first derivative of -4*o**5 + 2*o - 25. Differentiate n(r) with respect to r.
-80*r**3
Let i(y) be the third derivative of -5*y**8/42 + 13*y**5/60 + 7*y**2. Find the third derivative of i(f) wrt f.
-2400*f**2
Let d(p) be the first derivative of 11*p**5/5 + 3*p**2/2 - 1. Find the second derivative of d(x) wrt x.
132*x**2
Suppose 2*j - j - 3 = 0. What is the second derivative of 2*g + 2*g - g - j*g**3 wrt g?
-18*g
Let f(y) = -8*y**3 - 13*y**2 - 3*y. Let i(r) = r**2 + r. Let h(j) = f(j) + 3*i(j). Find the third derivative of h(z) wrt z.
-48
Let x(r) be the first derivative of 25*r**7/7 + 29*r**3/3 + 28. What is the third derivative of x(g) wrt g?
3000*g**3
Let i(u) be the first derivative of -32*u**5/5 - 9*u**3 + 19. What is the third derivative of i(j) wrt j?
-768*j
Let t(g) = 3*g**4 + g**2 + 3*g - 3. Let z(i) = -10*i**4 - 3*i**2 - 8*i + 8. Let d(w) = 8*t(w) + 3*z(w). What is the third derivative of d(x) wrt x?
-144*x
Let a(s) be the third derivative of -13*s**4/24 - 11*s**3/6 - 21*s**2. Find the first derivative of a(i) wrt i.
-13
Find the third derivative of 0*g**4 - 56*g**2 - 4*g**3 + g**4 + 2*g**3 - 11*g**4 wrt g.
-240*g - 12
Let a(q) be the second derivative of -q**7/280 - q**6/120 - q**3/2 - 3*q. Let t(r) be the second derivative of a(r). What is the third derivative of t(k) wrt k?
-18
Let j = -2 + 6. Let x = -3 + 6. What is the second derivative of -3*y**j - x*y**4 + 4*y**4 + 2*y wrt y?
-24*y**2
Suppose -j - 2*w + 5*w - 2 = 0, -3*w = -3*j. Let a(h) be the first derivative of -h - j - 3/2*h**2. Differentiate a(x) wrt x.
-3
Let d(m) be the second derivative of m**5/10 - 9*m**2/2 + 20*m. Differentiate d(o) wrt o.
6*o**2
Let c be 5 + -1 - ((2 - -3) + -5). Let s(h) be the first derivative of -1/3*h**3 + c + 0*h + 3/2*h**2. What is the second derivative of s(w) wrt w?
-2
Suppose -40 = -3*f - f. Let w = f + -6. Differentiate -3*z + 1 + 0*z - w wrt z.
-3
Find the second derivative of -30*b**2 + 4*b + 6*b**3 + 30*b**2 wrt b.
36*b
Let g(z) be the first derivative of 2*z**5/5 - z**2 + 8. What is the second derivative of g(c) wrt c?
24*c**2
Let f(n) be the first derivative of -3*n - 1/2*n**2 - 3. Find the first derivative of f(c) wrt c.
-1
Let v(h) be the first derivative of -10*h**6/3 - 5*h**2/2 - 16. What is the second derivative of v(a) wrt a?
-400*a**3
What is the second derivative of 0*n**4 - 15*n - 13*n**4 + 33*n wrt n?
-156*n**2
Let n(z) = 18*z**4 + z**3 - 6. Let t(s) = s**4 + s**3 + 1. Let m(o) = n(o) - t(o). What is the derivative of m(p) wrt p?
68*p**3
Let n(h) be the third derivative of 0 - 7/60*h**5 + 0*h + 9*h**2 + 0*h**3 + 0*h**4 + 1/60*h**6. Find the third derivative of n(d) wrt d.
12
Let s(m) = 25*m**2 - 29. Let c(k) = -75*k**2 + 86. Let p(o) = 3*c(o) + 8*s(o). Differentiate p(a) wrt a.
-50*a
Let q(l) be the first derivative of -l**6/15 - l**3 - l - 2. Let g(j) be the first derivative of q(j). Find the second derivative of g(i) wrt i.
-24*i**2
Let i(h) = h. Let r(f) = f + 3*f**3 - f**3 + 4*f - 4*f. Let n(v) = -6*i(v) + r(v). What is the second derivative of n(q) wrt q?
12*q
Let r(m) be the first derivative of -m**7/280 - m**5/60 + m**3/3 - 2. Let g(q) be the third derivative of r(q). What is the second derivative of g