d) = -3*d**3 + 7*d**2 + 6. Let p(k) = 4*k**3 - 6*k**2 - 7. Let a(h) = 7*n(h) + 6*p(h). Find the third derivative of a(s) wrt s.
18
Let a(t) be the first derivative of -t**6/5 - t**3 - 2*t - 6. Let p(y) be the first derivative of a(y). What is the second derivative of p(m) wrt m?
-72*m**2
Suppose 0 = -2*x - 606 + 1798. What is the third derivative of 8*l**2 - x*l + 596*l - 6*l**3 wrt l?
-36
Let c(r) be the second derivative of r**4/3 - r**3/6 + 8*r. Find the second derivative of c(g) wrt g.
8
Let g(b) be the second derivative of 0*b**2 + 7*b + 0 + 0*b**3 - 5/28*b**8 + 0*b**5 + 0*b**6 + 0*b**7 + 7/12*b**4. What is the third derivative of g(x) wrt x?
-1200*x**3
Let f(m) = -m**4 - m**2 - 1. Let x(c) = 6*c**4 - 5*c**2 + 7*c - 5. Let r(d) = -5*f(d) + x(d). Find the second derivative of r(g) wrt g.
132*g**2
Let x(o) be the second derivative of -7*o**6/15 - o**3/3 - 6*o. What is the second derivative of x(q) wrt q?
-168*q**2
Suppose 5*f = 5*d - 75, -f + 35 + 0 = 4*d. Let s be (-4)/6 - (44/3)/(-4). What is the second derivative of -s*u + u**4 - d*u**3 + 10*u**3 wrt u?
12*u**2
Suppose 4*g - 12 = g. Find the second derivative of -g + 9*o - 4*o + 4 + 4*o**3 wrt o.
24*o
Let f(n) = -n. Let u(d) = 11*d**3 + 6*d - 12. Let j(y) = -6*f(y) - u(y). Differentiate j(p) wrt p.
-33*p**2
Let t = 4 - -1. Suppose -t*p + 2*i = -20, -3*i + 6 + 2 = 2*p. Find the second derivative of -z**4 - 2*z**2 + 2*z**2 + p*z**4 - 3*z wrt z.
36*z**2
Let s(c) = -c**3 + 6*c**2 + 8*c - 7. Let k be s(7). Let h(b) = b**2 + b + 1. Let m be h(k). Find the first derivative of -m - v**3 + 3*v**2 - 3*v**2 wrt v.
-3*v**2
Suppose 2*u = 6*u - 12. Suppose 6*i - u*i + 5*s = -14, 0 = -4*s - 16. Find the third derivative of 4*g**5 - 7*g + 2*g**i - 3*g**2 + 7*g wrt g.
240*g**2
Find the first derivative of -2*m**3 - 2*m**3 - 6*m**3 + 0*m**3 + 7 wrt m.
-30*m**2
Let y(s) be the first derivative of s + 1/3*s**3 + 3 + 0*s**2. Find the first derivative of y(d) wrt d.
2*d
Let z(j) be the first derivative of -3/5*j**5 - j + 0*j**2 + 0*j**4 + 2 + 0*j**3. Find the first derivative of z(q) wrt q.
-12*q**3
Let o(p) = -p**2 - 2*p + 3. Let x(k) = -k**2 + 2*k - 3. Let l be x(2). Let d be o(l). What is the third derivative of -2*m**2 + 3*m**5 - m**5 + d*m**5 wrt m?
120*m**2
Suppose -4*f = -2 - 6. Differentiate d**2 + f + 2*d**2 - 4 - 5*d**2 with respect to d.
-4*d
Suppose -2*a + 4*z = -10, -5*z + 6 = -a + 14. Let d(b) be the first derivative of -1 + 0*b**2 + 0*b**a - 1/4*b**4 + b. Find the first derivative of d(i) wrt i.
-3*i**2
Let o(p) be the first derivative of -44*p**3/3 - 17*p**2/2 + 1. What is the second derivative of o(r) wrt r?
-88
Let z(i) be the first derivative of -i**6/360 + i**4/12 + 2*i**3/3 - 2. Let b(s) be the third derivative of z(s). What is the first derivative of b(l) wrt l?
-2*l
Suppose -31 = 2*p + 29. Let a be 16/6 + 20/p. Differentiate -o**2 + 0*o**2 - o**2 + 4*o**a + 3 with respect to o.
4*o
Let u = 9 + 0. Let n be 2/u + (-16)/(-9). What is the third derivative of 2*z**2 - n*z**2 + z**6 + z**2 wrt z?
120*z**3
Suppose -3 = 2*y + 3*v, -5*v - 28 = -4*y - 1. Let w(k) be the second derivative of 0*k**y - 1/2*k**2 + k - 1/6*k**4 + 0. What is the derivative of w(t) wrt t?
-4*t
Let s(w) = -45*w**3 - 11*w**2 - 141*w. Let b(o) = 9*o**3 + 2*o**2 + 28*o. Let j(q) = 11*b(q) + 2*s(q). Find the second derivative of j(n) wrt n.
54*n
Let k(u) be the first derivative of -5*u**6 - 9*u**2/2 + 27. Find the second derivative of k(c) wrt c.
-600*c**3
Let a be 0/(-1) + 6/2. What is the second derivative of a*u - 4*u - 6*u + 4*u - 4*u**2 wrt u?
-8
What is the third derivative of -6*h**2 + 4*h**2 + 11*h**2 + 5*h**2 + 18*h**6 wrt h?
2160*h**3
Suppose -2*y + 6*y = s + 16, 17 = 5*y - 2*s. What is the third derivative of 7*r**2 - 3*r**2 - 3 + 3*r**y + 3 wrt r?
180*r**2
Let x(s) be the first derivative of -s**4 - 7*s**3/3 + 1. Find the third derivative of x(k) wrt k.
-24
Suppose 12 = 3*d + 3*y, -4*d = -3*y - y. Let n(k) be the first derivative of 0*k**4 + d*k - 2/5*k**5 + 0*k**2 + 0*k**3 + 1. Differentiate n(c) wrt c.
-8*c**3
Let c(u) be the second derivative of 22*u**6/15 + 7*u**4/12 - 41*u. What is the third derivative of c(b) wrt b?
1056*b
Let o be 10/8 + 6/8. Suppose -3*i - 2 = -8. What is the second derivative of -q + i - 2 + o*q**5 wrt q?
40*q**3
Let r(w) = w**3 + w**2 + 1. Let j(c) = 7*c**3 + 6*c**2 + 17. Let d(h) = -j(h) + 6*r(h). Differentiate d(n) with respect to n.
-3*n**2
Let v(j) be the second derivative of -j**7/3 + 3*j**4/2 - 19*j. What is the third derivative of v(g) wrt g?
-840*g**2
Let g(m) = -m + 6. Let k be g(7). Let x be -3*3/(-2 + k). Find the second derivative of r**5 + x*r**5 - r**5 - 3*r + r wrt r.
60*r**3
Let n(d) = -9. Let m(r) = -r**4 + 26. Let j(a) = 6*m(a) + 17*n(a). Differentiate j(v) wrt v.
-24*v**3
Let a(h) be the third derivative of 0*h**6 - 4*h**2 + 0 - 2/105*h**7 + 0*h**5 - 1/6*h**4 + 0*h + 0*h**3. What is the second derivative of a(p) wrt p?
-48*p**2
Let n(d) be the third derivative of -d**8/168 - 11*d**4/8 - d**2 + 5. What is the second derivative of n(p) wrt p?
-40*p**3
Let k = -3 - 0. Let u(j) = 3*j**2 - 7*j - 3. Let f(z) = 10*z**2 - 20*z - 8. Let x(y) = k*f(y) + 8*u(y). Find the second derivative of x(p) wrt p.
-12
Let t(p) = 22*p**3 - 7*p**2 - 19*p - 7. Let s(n) = 15*n**3 - 5*n**2 - 13*n - 5. Let r(m) = 7*s(m) - 5*t(m). Find the second derivative of r(k) wrt k.
-30*k
Find the second derivative of 7*t + 0*t**2 + 0*t**2 + 5*t**3 - 9*t**3 wrt t.
-24*t
Let m(f) = 3*f + 4. Let t(w) = -5*w - 7. Let z be (2/1)/((-2)/11). Let j(l) = z*m(l) - 6*t(l). Differentiate j(b) wrt b.
-3
Let f(t) be the third derivative of t**7/35 + t**5/60 + t**2. What is the third derivative of f(x) wrt x?
144*x
Let w(l) = -7*l**2 + 10. Let f(x) = 20*x**2 - 30. Let h(q) = -2*f(q) - 7*w(q). Find the first derivative of h(k) wrt k.
18*k
Let i(f) be the first derivative of -14*f**5/5 + 27*f + 18. Find the first derivative of i(a) wrt a.
-56*a**3
Let f(z) = -1 - 1 + 5*z**2 + 44*z - 48*z. Let p(b) = 6*b**2 - 5*b - 3. Let u(r) = 5*f(r) - 4*p(r). What is the derivative of u(y) wrt y?
2*y
Let q(r) = r**3 + 3*r**2 - 1. Let d be q(-2). Differentiate 6*u**3 - u**2 + 4 + u**2 - 8*u**d with respect to u.
-6*u**2
Let a(z) be the first derivative of 7/4*z**4 + 0*z**2 + 0*z**3 - 3 - 3*z. What is the derivative of a(j) wrt j?
21*j**2
Suppose -1 = 4*l - 9. What is the third derivative of f**3 - f**3 + 2*f**l - f**6 + 0*f**3 wrt f?
-120*f**3
Let x(t) = 1 + t**2 - 2*t**2 - t**3 + 4 + 4*t + 4*t**2. Let l be x(4). Find the third derivative of -3*g**5 - 3*g**2 - g**2 + 2*g**2 + 5*g**l wrt g.
120*g**2
Suppose 4*o - 4*b = -4, 0 = 5*o + 5*b - 4*b - 13. Let p be ((-3)/o)/((-18)/48). What is the third derivative of 0*f**2 + 3*f**p - 3*f**2 - 4*f**4 wrt f?
-24*f
Let t(y) = 15*y**2 + 11*y + 21. Let s(b) = -b**2 + 4 + 2*b + 0*b**2 + 4*b**2 + 0. Let u(q) = -11*s(q) + 2*t(q). What is the derivative of u(h) wrt h?
-6*h
Suppose 2*c = -2*c + 168. Suppose -3*l + 8*l - 3*d - 21 = 0, -5*l + c = 4*d. Find the third derivative of -23*z**3 + 23*z**3 - z**l + 4*z**2 wrt z.
-120*z**3
Let a(r) be the third derivative of 0*r**3 - 1/6*r**4 + 0*r - 3*r**2 + 1/12*r**5 + 0. Find the second derivative of a(f) wrt f.
10
Let f(q) be the third derivative of -3*q**7/70 + q**4/6 - 2*q**2. Find the second derivative of f(n) wrt n.
-108*n**2
Let f(c) = 13*c**3 + c**2 + 2*c. Let y(r) = -207*r**3 - 15*r**2 - 33*r. Let v(z) = 33*f(z) + 2*y(z). What is the third derivative of v(x) wrt x?
90
Let f(l) be the third derivative of -7*l**2 + 0*l + 0*l**3 + 0 - 5/24*l**4 - 2/105*l**7 + 0*l**5 + 0*l**6. Find the second derivative of f(p) wrt p.
-48*p**2
Let r(t) = t**3 - 6*t**2 + 7*t - 7. Let c be r(5). Find the second derivative of 5 - 3*m - c + 8*m**4 - 2 wrt m.
96*m**2
Let h(u) be the first derivative of -1/3*u**3 + 0*u + 0*u**2 - 3/4*u**4 - 3. What is the third derivative of h(f) wrt f?
-18
Let l(q) = -3*q**3 + 1. Suppose -3*c + 2 = -c. Let h(d) = -d**3. Let o(n) = c*l(n) - 6*h(n). What is the first derivative of o(z) wrt z?
9*z**2
Let p(s) = -9*s**2 - s. Let j(z) be the third derivative of -z**5/30 - 6*z**2. Let d(v) = 26*j(v) - 6*p(v). What is the second derivative of d(x) wrt x?
4
Suppose 5*m + 4*h + 6 = 0, -2*m + h - 5*h - 12 = 0. Let l be (-4)/m - (-4 + -2). What is the fi