k.
2*k
Let h(i) = i**3 - 10*i**2 + i - 7. Let l be h(10). Find the first derivative of 2 - 3 - x**3 - l wrt x.
-3*x**2
Find the third derivative of 2*s**6 + 12*s**2 - 4*s**2 - s**2 + s**6 wrt s.
360*s**3
Find the second derivative of -3*i + 9*i + 2*i + 14*i**2 wrt i.
28
Let y = 50 - 4. Let h = -23 + y. Find the third derivative of 2*k**2 - h + k**3 + 23 wrt k.
6
Let u(c) = c + 11. Let f be u(-9). Find the second derivative of f*l**3 - 14*l + 6*l + 7*l + 5*l**3 wrt l.
42*l
Suppose -2*c - 5 = 5*w, -3*c + 0*w - 1 = w. Suppose -2*m + c*m = -4. Find the second derivative of -2*z**2 - z**2 + m*z - z wrt z.
-6
Let i(r) = r**3 + 6*r**2. Let g be i(-6). What is the third derivative of g*c**3 - 6*c**2 + 4*c**2 + 3*c**2 - 2*c**3 wrt c?
-12
Let z(m) = -26*m**3 - 6*m**2 - 6*m + 12. Let u(r) = 51*r**3 + 11*r**2 + 11*r - 25. Let c(t) = 6*u(t) + 11*z(t). Find the first derivative of c(p) wrt p.
60*p**2
Let i(m) be the first derivative of -8*m**2 + 9*m - 16. What is the derivative of i(s) wrt s?
-16
Let l = -3 + 12. Suppose 19 = 2*h - 5*w, -9 - l = -3*h + 4*w. Differentiate h*n**2 - 3 + 1 + 1 wrt n.
4*n
Let m(u) be the first derivative of -u**6/90 + u**5/20 - u**3/3 + 4. Let l(n) be the third derivative of m(n). What is the second derivative of l(p) wrt p?
-8
Let b(j) be the first derivative of -3 + 1/3*j**3 + 0*j**2 + 3*j. Differentiate b(p) wrt p.
2*p
Let w be 3 + (-6 - -2)/4. Find the second derivative of 4*q**w - 2 + 2 - 2*q wrt q.
8
Find the third derivative of k**2 + 42*k**4 + 978 - 978 wrt k.
1008*k
Let s(k) be the first derivative of 2*k**6 + 9*k**2/2 + 11. Find the second derivative of s(c) wrt c.
240*c**3
Let q(t) = t**2 + 9 + 5*t - 2*t - 4*t**2. Let y(x) = -3*x**2 + 2*x + 8. Let z(i) = 2*q(i) - 3*y(i). Differentiate z(u) with respect to u.
6*u
Let v(n) be the first derivative of -n**3 + 1/2*n**6 - 3 + 0*n**5 + 0*n + 0*n**2 + 0*n**4. Find the third derivative of v(m) wrt m.
180*m**2
Let o(s) = 2*s**3 - 4*s**2 + 3*s - 1. Let t be o(2). What is the second derivative of -b - t*b - b**2 + 3*b wrt b?
-2
Let k(r) = 7*r + 14. Let m(i) = 14*i + 27. Let c(h) = -11*k(h) + 6*m(h). Find the first derivative of c(u) wrt u.
7
Let v(t) be the second derivative of -t**7/210 - 2*t**3/3 - 7*t**2/2 + t. Let x(k) be the first derivative of v(k). What is the derivative of x(o) wrt o?
-4*o**3
Let c(k) = 13*k**3 - 7*k**2 - 46*k. Let o(i) = 6*i**3 - 4*i**2 - 23*i. Let h(l) = 4*c(l) - 7*o(l). What is the second derivative of h(a) wrt a?
60*a
Let m(p) = p**4 - 5*p**3 - 58*p**2 + p - 1. Let u(q) = -q**3 - 2*q**2 + q - 1. Let i(y) = -m(y) + u(y). Find the third derivative of i(l) wrt l.
-24*l + 24
Suppose -8*u + 12 = -4*u. Let b = u + -1. What is the derivative of -5*w + 5*w - 1 - w**b wrt w?
-2*w
Let a(f) = 3*f - 3. Let l(d) = 4*d - 3. Let n(p) = -5*a(p) + 6*l(p). What is the first derivative of n(j) wrt j?
9
Let f(u) be the first derivative of 3*u**5/5 + 2*u**3 - 1. Find the third derivative of f(m) wrt m.
72*m
Suppose -3*f = -4*q + 10, q - 5*f - 6 = 5. Let j be (-3 - -4) + (-1)/q. What is the first derivative of -3*i + i + j*i + 1 wrt i?
-2
Suppose -9 = -2*s - 5. What is the second derivative of 0 + s + 6*g - 7*g**3 - 2 wrt g?
-42*g
Let m(z) = z. Let j be m(0). Suppose 3*n - 12 = -j*n. Find the third derivative of 0*i**4 - 3*i**n + 4*i**2 - 7*i**2 wrt i.
-72*i
Differentiate -117*z + 16 + 117*z - 3 + 12*z**4 wrt z.
48*z**3
Suppose 6*v - 2*v = -20. Let j(i) = -11*i**4 - 3*i - 5. Let z(n) = -16*n**4 - 5*n - 7. Let s(b) = v*z(b) + 7*j(b). What is the second derivative of s(g) wrt g?
36*g**2
Let u(z) = z**5 - z**4 + z**3 + z**2. Let y(q) = 4*q**4 - 4*q**3. Let s(k) = -4*u(k) - y(k). Find the third derivative of s(m) wrt m.
-240*m**2
Let c = -1 - -4. Suppose -2*u + 0*v - c*v + 20 = 0, 3*v - 24 = -3*u. What is the third derivative of 2*s**2 - 5*s**5 + u*s**5 + 0*s**2 wrt s?
-60*s**2
Suppose t = 2*k, -3*k + 5 = -4*t + 3*t. Suppose 5*h - 2*h - 2 = o, t = 3*h + o. Find the third derivative of 0*d**6 + h*d**6 - d**6 + 2*d**2 wrt d.
120*d**3
Let c(q) = q + 1. Let k(s) = 2*s**3 + 11*s + 4. Let f(d) = -4*c(d) + k(d). Find the second derivative of f(p) wrt p.
12*p
Let m(o) = o**2 + 4*o - 8. Let s be m(-6). Let n(j) = -j**2 + 6*j - 4. Let a be n(s). What is the third derivative of 5*f**4 - 3*f**4 - 2*f**2 + a*f**2 wrt f?
48*f
Let s(r) = 3*r + 2 - 5*r + r + 2. Let n be s(-8). What is the third derivative of 0*z**2 + 2*z**2 - 10*z**4 + n*z**4 wrt z?
48*z
Let l(w) = -2*w**3 - 5*w**2 + 9. Let q(x) = -3*x**3 - 7*x**2 + 14. Let y(j) = -7*l(j) + 5*q(j). Differentiate y(u) wrt u.
-3*u**2
Let y(q) = 6*q**3 - 7. Let t(d) = d**4 - 13*d**3 + 15. Let h be (-15)/1 + -2 + 4. Let k(x) = h*y(x) - 6*t(x). Differentiate k(w) wrt w.
-24*w**3
Suppose -4*b + 5 = -3. Differentiate 3*z**b - 7*z**2 + 2 + 9*z**2 with respect to z.
10*z
Let b = -11 + 5. Let c be b/(-3) + 0 - -1. What is the third derivative of -4*m**2 - 3*m**3 + m**2 + 0*m**2 + 0*m**c wrt m?
-18
Let i(z) be the first derivative of 0*z**3 + 3 + 1/4*z**4 - z**2 + 0*z. What is the second derivative of i(n) wrt n?
6*n
Let q(y) be the second derivative of -1/2*y**2 + 0 - 3/2*y**3 - 8*y. Find the first derivative of q(g) wrt g.
-9
Suppose f - 4 = 3*f, 0 = -4*u + 3*f + 14. Suppose 2*q + 2*w = 6*q, -12 = -3*w. Find the third derivative of -u*l**3 + 7*l**2 - 4*l**q + 3*l**2 - 4*l**2 wrt l.
-12
Find the second derivative of -5*g + 18*g**2 - 14*g**2 - 15*g**2 wrt g.
-22
Let j be 3/12 + 2/(-8). Suppose u + 3*n + 15 - 5 = j, -u + 3*n + 14 = 0. Find the second derivative of g - g + 0*g**3 - u*g**3 + 2*g wrt g.
-12*g
Let m(h) be the first derivative of -h**5/10 + 2*h**3/3 + 3*h**2/2 + 10. Let f(t) be the second derivative of m(t). What is the first derivative of f(r) wrt r?
-12*r
Let k(j) be the third derivative of 1/30*j**5 + 0*j + 1/2*j**3 + 4*j**2 + 0 + 0*j**4. What is the first derivative of k(b) wrt b?
4*b
Let k(w) = -w**2 - 9*w - 4. Let m be k(-7). Differentiate m - 7 + 6 + 6*x with respect to x.
6
Let t(d) = -d**3 + 6*d**2 - 4*d - 1. Let u be t(5). What is the third derivative of u*y**2 - y**6 + 0*y**2 - 2*y**2 wrt y?
-120*y**3
Suppose 2*r - 5*r = 2*u - 8, 4*u + 8 = 0. Suppose -5*k + 19 = r. Find the third derivative of h - k*h**3 - 2*h + h**2 + h wrt h.
-18
Suppose 30 = -z + 6*z. Let h be (-33)/(-15) - (-1)/(-5). Find the third derivative of 3*p**2 + 0*p**z + 0*p**6 - h*p**6 wrt p.
-240*p**3
Let w(s) = s**2 + 2*s + s + 2 + 0*s**2. Let l be w(-3). Find the third derivative of -2*a**4 - 2*a**4 + l*a**4 + a**2 wrt a.
-48*a
Suppose 2 = 3*i - 5*i - o, -4 = i + 2*o. Let r = 2 - i. What is the derivative of -z**2 - 4*z**2 + r + 7*z**2 wrt z?
4*z
Let x(h) = 7*h**6 - 2*h**3 - 11*h**2 + 2. Let m(b) = 6*b**6 - 3*b**3 - 10*b**2 + 3. Let w(g) = -4*m(g) + 6*x(g). Find the third derivative of w(f) wrt f.
2160*f**3
Find the second derivative of 4*a - 3*a**4 + 3*a**4 - 18*a**5 + 3*a**5 wrt a.
-300*a**3
Let n(g) be the second derivative of g**7/420 + g**4/12 - g**3/3 - 2*g. Let c(d) be the second derivative of n(d). What is the first derivative of c(j) wrt j?
6*j**2
Let g(x) = -x**4 + x**3 - x. Let c(q) = -4*q**4 + 6*q**3 - 6*q + 13. Let j(z) = c(z) - 6*g(z). What is the first derivative of j(t) wrt t?
8*t**3
Let l(k) be the first derivative of -4 + 0*k**3 + 0*k**5 + 0*k**4 + 2/3*k**6 - 5/2*k**2 + 0*k. What is the second derivative of l(q) wrt q?
80*q**3
What is the second derivative of 8*w - 9*w**4 + 6*w**4 + 7*w**4 wrt w?
48*w**2
Let m(o) = 37*o**4 + 9*o**2 + 45*o + 9. Let j(h) = -9*h**4 - 2*h**2 - 11*h - 2. Let n(l) = -9*j(l) - 2*m(l). What is the second derivative of n(u) wrt u?
84*u**2
Let i be 2/(1*(-1 + 2)). Let w(k) be the second derivative of 0*k**4 - 1/30*k**6 - 2*k + 0*k**3 + 1/2*k**i + 0*k**5 + 0. Differentiate w(m) with respect to m.
-4*m**3
Let f(a) be the third derivative of 0*a + 0 + 1/30*a**7 + 7*a**2 + 0*a**3 + 0*a**6 + 0*a**5 + 3/8*a**4. Find the second derivative of f(b) wrt b.
84*b**2
Find the second derivative of 3*d - 34*d**3 + 9*d - 16*d**3 + d wrt d.
-300*d
Let q(k) be the second derivative of -k**8/112 + k**5/15 + 2*k**2 + k. Let r(y) be the first derivative of q(y). Find the third derivative of r(o) wrt o.
-180*o**2
Find the first derivative of -10*g**3 + 1 + 6 + 3*g**4 + 10*g**3 wrt g.
12*g**3
Let q(z) = -z**3 + 2*z**2 + 5*z - 5. Let p(s) = -