o c.
-32*c
Let s be (-16)/(-12)*(5 + -2). Let r(f) = -f**3 - 5*f**2 + 7*f + 9. Let i be r(-6). Differentiate 4*n**2 + 4 - n**i - s*n**2 - 2*n**3 with respect to n.
-9*n**2
Let l(f) = 840*f - 1561. Let r(d) = -35*d + 65. Let q(k) = -2*l(k) - 49*r(k). Differentiate q(c) with respect to c.
35
Let h = 3 + 0. Find the second derivative of -2*f + 2*f + 2*f**4 + 3*f - h*f**4 wrt f.
-12*f**2
Let d(h) be the second derivative of -h**4/12 - 3*h**2 - 6*h. Find the first derivative of d(y) wrt y.
-2*y
Find the second derivative of 9*v**2 - 97*v + 46*v + 38*v wrt v.
18
Let k(i) be the third derivative of 0 + 0*i**3 + 0*i + 0*i**6 - 7*i**2 + 0*i**7 + 1/60*i**5 + 0*i**4 + 1/56*i**8. What is the third derivative of k(h) wrt h?
360*h**2
Let l = 26/3 - 127/15. Let b(t) be the first derivative of 0*t**2 + 0*t**3 + 2*t - 1 - l*t**5 + 0*t**4. Differentiate b(r) wrt r.
-4*r**3
Let g(q) = -2*q**2 - q - q**3 + 2*q**2 + 1. Let m(d) = -12*d**3 - 3*d + 5. Let o(k) = 5*g(k) - m(k). What is the second derivative of o(a) wrt a?
42*a
Suppose 5*g = -s - 18, -s - 3*s + 3*g = -20. Find the third derivative of 5*r**s + 3*r**3 - 3*r + 3*r wrt r.
18
Let y(d) = 5*d + 4. Let k(c) = 11*c + 9. Let g(h) = -2*k(h) + 5*y(h). Differentiate g(a) wrt a.
3
Let a(f) = 3*f**2 + 31*f + 6. Let l(v) = -3*v**2 - 32*v - 5. Let s(i) = -5*a(i) - 6*l(i). What is the second derivative of s(x) wrt x?
6
Let h(a) = -a - 18. Let s(v) = 1. Let z(i) = -h(i) - 6*s(i). What is the derivative of z(g) wrt g?
1
Let h(x) = x**2 + x - 4. Suppose -4 = 4*r - y + 8, 4*y = -3*r - 9. Let l be h(r). What is the third derivative of 5*k - l*k**5 + 2*k**2 - 5*k wrt k?
-120*k**2
Let s(f) = -f + 1. Let k(q) = 2*q - 1. Let l = 6 - 9. Let w = 4 - 9. Let c(z) = l*k(z) + w*s(z). Find the first derivative of c(o) wrt o.
-1
Let u(s) = 40*s**4 + 5*s**3 - 5*s - 25. Let h(k) = -60*k**4 - 8*k**3 + 8*k + 38. Let y(w) = 5*h(w) + 8*u(w). Differentiate y(z) with respect to z.
80*z**3
Let v(u) = u - 4. Let s(r) = -1. Suppose -f + 6*f - 20 = 0. Let w = f - 6. Let i(m) = w*s(m) + v(m). Differentiate i(n) with respect to n.
1
Let t(g) be the second derivative of g**7/210 + g**3 - 3*g**2 + 6*g. Let h(n) be the first derivative of t(n). What is the first derivative of h(q) wrt q?
4*q**3
Let b be (-20)/(-6) + 6/9. Suppose 5*q + 6 - 26 = 0. Find the second derivative of 2*h**b - 5*h - 3*h**q + 3*h wrt h.
-12*h**2
Suppose -5*z = -20 - 5. Find the third derivative of -4*n**2 + 3*n**2 + 2*n**z - n**2 wrt n.
120*n**2
Let t(k) be the third derivative of -k**6/20 + k**4/24 - 2*k**2. What is the second derivative of t(p) wrt p?
-36*p
Let m(f) = f**2 - 5*f - 1. Let a be m(6). What is the third derivative of 11*q + 3*q**2 + q**a - 11*q wrt q?
60*q**2
Let r(w) be the second derivative of -19*w**3/6 + 10*w**2 + 24*w. Differentiate r(m) wrt m.
-19
What is the second derivative of 2*m + 6*m - 12*m + 4*m**4 wrt m?
48*m**2
Suppose -1 - 4 = -y. What is the third derivative of 0*c**5 - 3*c**5 - c**2 + 4*c**5 - 2*c**y wrt c?
-60*c**2
Let j(x) be the third derivative of x**8/960 - x**6/144 - x**4/24 - 6*x**2. Let t(o) be the second derivative of j(o). Find the second derivative of t(c) wrt c.
42*c
Let d(g) = g**4 + g**3 - g**2 + g - 1. Let h(n) = -5*n**3 + 5*n**2 - n + 5. Let o(t) = -5*d(t) - h(t). What is the second derivative of o(s) wrt s?
-60*s**2
What is the first derivative of -37 + 34 - 12*g**3 + 3*g**2 - 3*g**2 wrt g?
-36*g**2
What is the second derivative of -11*s**2 - 14*s**2 + 38*s**4 - 4*s + 25*s**2 wrt s?
456*s**2
Let p(y) be the third derivative of -y**9/15120 + y**7/840 + y**5/60 - y**2. Let o(b) be the third derivative of p(b). Find the second derivative of o(v) wrt v.
-24*v
What is the second derivative of 18*l + 28*l + 1980*l**3 - 1980*l**3 - 2 - 69*l**4 wrt l?
-828*l**2
Let h(x) be the second derivative of -23*x**5/20 - 23*x**2/2 + 22*x. What is the derivative of h(n) wrt n?
-69*n**2
Suppose 2*x + 5*f = -20, -5 = -5*x + f - 1. Let r(m) be the second derivative of 0*m**2 + x - m + 1/6*m**3 - 1/6*m**4. Find the second derivative of r(y) wrt y.
-4
Let d(a) = a - 6. Let o be d(8). Let m = -3 - -5. What is the second derivative of -2*g + o*g**2 - g + m*g wrt g?
4
Let r(d) = -d**3 - 3*d**2 + 6*d + 3. Let i be r(-5). Suppose 5*z + 6 = -3*x - 13, 0 = -4*x + 3*z + i. What is the derivative of -x + c + c - c wrt c?
1
Let h = -10 + 16. What is the third derivative of 2*l**2 - 1 + 1 + 2*l**h + l**6 wrt l?
360*l**3
Let a(v) = 46*v + 23. Let w(t) = -23*t - 11. Let n(p) = 3*a(p) + 7*w(p). Find the first derivative of n(h) wrt h.
-23
What is the third derivative of -9*q**2 - 3*q**4 + 3*q**4 + 0*q**4 + q**4 wrt q?
24*q
What is the first derivative of -18 - 17 + 29*p**4 - 22*p**4 wrt p?
28*p**3
Let w(t) be the third derivative of t**5/30 - t**4/12 + 2*t**3/3 + 10*t**2 - 1. What is the derivative of w(j) wrt j?
4*j - 2
Let w(m) = 3*m**2 + 1. Let u = -5 + 7. Let r(s) = 3*s**2 + 2*s**2 - 4*s**u. Let t(n) = -6*r(n) + w(n). Differentiate t(f) with respect to f.
-6*f
Let j(b) be the third derivative of b**5/12 - b**4/4 + 2*b**2. Find the second derivative of j(n) wrt n.
10
What is the first derivative of -52*h**3 + 17*h**4 - 50*h**3 + 13 + 102*h**3 wrt h?
68*h**3
Let i(l) be the first derivative of 2*l**4 + 8*l - 3. What is the derivative of i(w) wrt w?
24*w**2
What is the third derivative of 23*m**5 - 11*m**5 + 0*m**2 + 5*m**2 wrt m?
720*m**2
Let g(t) = t**4 - t**3 + t**2 + t + 1. Let r(h) = 0*h**3 + 2*h - 2*h**3 + 8*h**4 + 2*h**2 - 9*h**4 + 6. Let w(o) = 2*g(o) - r(o). Differentiate w(v) wrt v.
12*v**3
Let g(q) be the second derivative of -q**5/20 - 13*q**3/3 + q**2 - 48*q. Find the second derivative of g(b) wrt b.
-6*b
Let x(n) be the third derivative of -7*n**4/6 - n**3/3 + 16*n**2. Find the first derivative of x(y) wrt y.
-28
Let n(q) be the first derivative of 0*q**5 + 0*q + 1/6*q**6 + 0*q**2 + 0*q**4 + 1 + 1/3*q**3. What is the third derivative of n(j) wrt j?
60*j**2
Let s(b) = b**2 - 4*b + 2. Let f(r) = -r. Let u(t) = -2*f(t) - s(t). Let g be u(4). Find the second derivative of -2*v**5 - 3*v - v + g*v wrt v.
-40*v**3
Differentiate 4*t + 4 - 6*t + 4*t - 6*t with respect to t.
-4
Find the second derivative of 12*j**5 + 4*j**5 + j**5 - 7*j wrt j.
340*j**3
Let s(q) = -4*q**4 + q - 7*q**4 + q. Let z(n) = -5*n**4 + n. Let b be (-22)/8 - 2/8. Let t(r) = b*s(r) + 7*z(r). Find the second derivative of t(o) wrt o.
-24*o**2
Find the third derivative of 0*j**2 + 92*j + 11*j**2 - 5*j**3 - 92*j wrt j.
-30
Suppose 0 + 9 = 3*t. Let w(v) be the first derivative of 0*v**4 + 0*v**2 + 1 + 2*v + 0*v**t + 1/5*v**5. What is the derivative of w(a) wrt a?
4*a**3
What is the first derivative of -3*c**2 + 6*c**2 - 41*c**2 + 21 wrt c?
-76*c
Let l(y) be the first derivative of 2 - y**4 - 3*y + y + y - 5. What is the first derivative of l(a) wrt a?
-12*a**2
What is the first derivative of 9*x**3 - 15*x**4 + 4 - 9*x**3 - 2*x**4 wrt x?
-68*x**3
Let r(x) = 12*x**2 - 5*x. Let k(q) be the second derivative of 13*q**4/12 - q**3 + q. Let m(b) = 6*k(b) - 7*r(b). Find the second derivative of m(a) wrt a.
-12
Suppose 5*q + 30 = 5*y, q = -2*y - 4*q - 16. What is the third derivative of r**3 - r**6 + 2*r**2 - 3*r**3 + y*r**3 wrt r?
-120*r**3
Find the second derivative of -40*g + 6*g**4 + 31*g - 16*g**4 - 10*g wrt g.
-120*g**2
Suppose 3 - 15 = 3*r. Let w = -3 - r. What is the derivative of 0*n - n - w + n + n**4 wrt n?
4*n**3
Let z(h) = 19*h**4 + 9*h**3 + 45*h + 9. Let m(x) = -5*x**4 - 2*x**3 - 11*x - 2. Let p(s) = 9*m(s) + 2*z(s). What is the second derivative of p(v) wrt v?
-84*v**2
Let v(t) be the first derivative of 3 + 2/3*t**3 + 0*t + 1/2*t**2. Find the second derivative of v(h) wrt h.
4
Suppose 0*m + 9 = 3*m. Suppose -84 + 9 = -5*h. Let p(d) = -3. Let b(i) = -i + 16. Let w(j) = h*p(j) + m*b(j). Differentiate w(r) wrt r.
-3
Suppose -2*p = -4*p + 6. What is the third derivative of 0*u**p + 0*u**3 + 0*u**2 - 2*u**6 + 2*u**2 wrt u?
-240*u**3
What is the second derivative of -402*u**2 + 27*u + 402*u**2 - 10*u**3 wrt u?
-60*u
Let x(m) be the third derivative of -m**2 - 7/120*m**6 - 1/10*m**5 + 0*m**4 + 0 + 0*m + 0*m**3. What is the third derivative of x(n) wrt n?
-42
Let g(q) = q**3 - 3*q + 2. Let y be g(2). Suppose -6 - 6 = -y*h. What is the derivative of -4 + h + 2*f + 3 + 2 wrt f?
2
Suppose 4*v 