ferentiate -12*t**3 - 65 - 2*t**2 + 57 - 51 with respect to t.
-36*t**2 - 4*t
Let s(q) = -q**2 + 6*q - 5. Let o be s(5). Find the second derivative of 4*j**3 - 3*j + j**3 + o*j wrt j.
30*j
Let k(x) = -8*x**3 + x**2 + 9*x - 9. Let i(a) = -a**3 - 1 + 2*a**3 - a - 2*a**3 + 2*a. Let f(s) = -18*i(s) + 2*k(s). What is the third derivative of f(y) wrt y?
12
Let n(c) be the second derivative of 7*c**4/12 + c**3/2 - 7*c**2/2 - 4*c. Let g(f) = f. Let j(z) = -3*g(z) + n(z). Differentiate j(m) with respect to m.
14*m
Let t(c) = -c**3 + c**2 + 1. Let h(x) = 12*x**3 - 9*x**2 + 3*x - 9. Let l = 3 - 4. Let p(q) = l*h(q) - 9*t(q). Find the second derivative of p(k) wrt k.
-18*k
Let x(c) = -c**2 - 8*c - 3. Let y be x(-7). Suppose 0 = y*n - 9 + 1. What is the first derivative of n*v**4 + 0 + 4*v**4 - 4 - 3*v**4 wrt v?
12*v**3
Let d(h) = h - 8. Let p(y) = y. Let v(m) = -d(m) + 2*p(m). Let i be v(-8). What is the derivative of i*k**4 + 5 + k**4 - 3 wrt k?
4*k**3
Let t be (-25)/(-9) + 4/18. Suppose 0 = t*y + j - 4, y = 3*y + 2*j. Find the third derivative of -2*w**5 - 2*w**y - 4 + 4 wrt w.
-120*w**2
Let g be (4/(-10))/((-2)/20). What is the first derivative of -1 - g*j - j - 2 + 4*j wrt j?
-1
Let m(y) = 60*y**3 - 11*y**2 - 22*y + 11. Let g(n) = -30*n**3 + 6*n**2 + 11*n - 6. Let s(w) = 11*g(w) + 6*m(w). Find the second derivative of s(x) wrt x.
180*x
Let v(w) = 6*w**2 - 3*w - 1. Let f(s) = -23*s**2 + 49*s**2 - 4*s + 0 - 2 - 20*s**2. Let l(y) = 3*f(y) - 4*v(y). What is the derivative of l(z) wrt z?
-12*z
Let a(u) = u**2 - 7*u + 2. Let m be a(7). What is the third derivative of -4*p**m + 2*p**2 + 2*p**2 + p**6 + 2*p**2 wrt p?
120*p**3
Find the second derivative of 3*r**2 - 7*r**2 - r**2 + 4*r**2 - 16*r wrt r.
-2
Let y(l) = -12*l + 1. Let r be y(-1). Find the third derivative of -r*x**2 - 5*x**5 - 3*x**5 + x**5 + 16*x**2 wrt x.
-420*x**2
Let p(y) = y + 6. Let f be p(-4). Differentiate f*b**2 + 1 - 1 + 1 with respect to b.
4*b
Let n(t) = -t**2 + t. Let j be n(1). Find the third derivative of j*r**6 - 3*r**2 + 4*r**2 - r**6 wrt r.
-120*r**3
Let i be ((-4 - -4) + -7)*(-4)/14. Let z = -4 + 8. What is the third derivative of f**i - f**4 - 3*f**2 - f**z wrt f?
-48*f
Find the second derivative of -p - 5*p**3 + 5*p + 12*p**3 - p wrt p.
42*p
Let j(m) be the second derivative of -m**4/6 + m**3 - 2*m. Find the second derivative of j(z) wrt z.
-4
What is the first derivative of -29 + 8 + 6*i**4 + 17 wrt i?
24*i**3
Let w(u) = -u**4 + u**3. Let p(c) = -24*c**4 + 22*c**3 + 2*c**2. Let m(g) = 2*p(g) - 44*w(g). What is the third derivative of m(o) wrt o?
-96*o
Let x(i) be the third derivative of 3*i**2 + 0*i + 0*i**6 - 1/210*i**7 + 0*i**5 + 0*i**4 + 0 + 1/6*i**3. Find the first derivative of x(b) wrt b.
-4*b**3
Let m(y) = 11*y - 13. Let l(o) = -12*o + 14. Let s(p) = 4*l(p) + 5*m(p). What is the derivative of s(g) wrt g?
7
Let n(x) be the second derivative of 0*x**3 - 5*x + 0 + 0*x**2 + 1/20*x**5 - 1/12*x**4. Find the third derivative of n(u) wrt u.
6
What is the second derivative of 13*w**4 - 4*w**4 - 4 + 4 - 10*w wrt w?
108*w**2
Let n = 5 - 3. What is the first derivative of 0 - 4*r**2 - 3 + r**n wrt r?
-6*r
Let p(k) be the third derivative of -1/6*k**4 + 0*k**3 + 0 + 1/15*k**5 + 0*k + 3*k**2. What is the second derivative of p(l) wrt l?
8
Let h(w) be the first derivative of w**7/14 + w**3/2 + w + 1. Let m(l) be the first derivative of h(l). Find the second derivative of m(g) wrt g.
60*g**3
What is the third derivative of 95 - 95 + 8*o**2 + o**6 - 19*o**6 wrt o?
-2160*o**3
Let f(o) = o**3 - 4*o**2 - 4*o. Let j be f(5). Let m = j - 3. What is the first derivative of 2*g - m*g + 3 + 0*g + g wrt g?
1
Let x(b) = -b**5 - b**4 - b**2 - b. Let h(d) = -20*d**5 - 12*d**4 - 20*d**2 - 12*d. Let l(o) = h(o) - 12*x(o). What is the third derivative of l(f) wrt f?
-480*f**2
Differentiate 3*i**2 + 70 - 67 + 3*i**2 wrt i.
12*i
Let q(f) be the third derivative of 19*f**6/120 - 5*f**4/6 - 3*f**2. What is the second derivative of q(w) wrt w?
114*w
Let f(z) be the second derivative of 17*z**6/15 + 19*z**3/3 - 8*z. Find the second derivative of f(k) wrt k.
408*k**2
Suppose -u - 2*j = -12, 0 = -5*u + 4*j - 10 - 0. Let y be (-1)/4 - 51/(-12). What is the second derivative of -3*s + y*s + u*s + 2*s**5 wrt s?
40*s**3
Let w = -2 - -1. Let n(k) = -2*k + 1. Let u be n(w). Find the second derivative of -3*z**5 - 3 + 3 + u*z wrt z.
-60*z**3
Let l(y) = 5*y**3 + 4*y**2 - 4*y + 5. Suppose 2*c = 4*c - 8. Let i(g) = 4*g**3 + 3*g**2 - 3*g + 4. Let f(d) = c*i(d) - 3*l(d). Differentiate f(j) wrt j.
3*j**2
Let t(l) = 19*l**4 - 5*l**3 + 5*l**2 - 9. Let b(v) = -29*v**4 + 8*v**3 - 8*v**2 + 13. Let m(y) = 5*b(y) + 8*t(y). Find the first derivative of m(r) wrt r.
28*r**3
Let r(j) = 6*j - 16. Let z(f) = -2*f + 5. Let s(n) = 2*r(n) + 7*z(n). What is the first derivative of s(i) wrt i?
-2
Let m(d) = -d**2 - 1. Let z(s) = -23*s**2 - 2*s - 1. Let c(k) = -m(k) + z(k). Find the second derivative of c(f) wrt f.
-44
Differentiate 10*t**3 - 16*t**4 + 12*t**3 - 30*t**3 - 21 + 10*t**3 wrt t.
-64*t**3 + 6*t**2
Let g(i) be the first derivative of 4/3*i**3 - 5 + 0*i + 0*i**5 - i**6 + 0*i**2 + 0*i**4. Find the third derivative of g(p) wrt p.
-360*p**2
Suppose 18 = 5*q - i, 3*q = q + 2*i + 12. What is the third derivative of -d**3 + 27*d + 2*d**2 + 3*d**q - 27*d wrt d?
12
Let l(z) = -14*z**2 - 4*z + 2. Let w(h) = -h + 1. Let g(m) = -l(m) + 4*w(m). Differentiate g(r) with respect to r.
28*r
Let g(a) be the first derivative of -a**6/10 + a**2 + 4*a - 3. Let q(s) be the first derivative of g(s). Differentiate q(x) with respect to x.
-12*x**3
Let q = 65 - 22. What is the third derivative of -43*k**4 - 2*k**2 + q*k**4 - 4*k**5 wrt k?
-240*k**2
What is the third derivative of w**4 - 2*w**4 - 4*w**4 + 7*w**2 wrt w?
-120*w
Let s(v) be the second derivative of -v**8/420 + v**4/4 + v**3/3 + 4*v. Let m(r) be the second derivative of s(r). What is the derivative of m(i) wrt i?
-16*i**3
Suppose -n - n = -4. Let o(p) be the first derivative of 1 + 1 - 1 + p**3 + n*p**2. Find the second derivative of o(j) wrt j.
6
Let d(i) = 3*i**2 - 5*i + 1. Let b be d(2). Let p(f) be the first derivative of 0*f**2 + 3 - 2/5*f**5 + 0*f**b + 0*f**4 + 2*f. Differentiate p(z) wrt z.
-8*z**3
What is the second derivative of 5*c**3 - 22*c**3 + 46*c - 6*c wrt c?
-102*c
Let o(u) be the second derivative of -u**4/6 - 13*u**3/6 + 12*u. What is the second derivative of o(z) wrt z?
-4
Let z(g) be the second derivative of 0*g**3 - 5/2*g**2 + 3/10*g**5 + 5*g + 0 + 0*g**4. Differentiate z(c) with respect to c.
18*c**2
Find the second derivative of -4*k + 3*k + 5*k**3 - 6*k - 2*k**3 wrt k.
18*k
Let c(b) = 13*b**5 + 2*b**3 + 2*b**2 - b. Let n(u) = -13*u**5 - 3*u**3 - 3*u**2 + 2*u. Let d(p) = -3*c(p) - 2*n(p). Find the second derivative of d(t) wrt t.
-260*t**3
Let j(n) be the third derivative of n**8/6720 + n**5/120 + n**4/24 - 3*n**2. Let l(u) be the second derivative of j(u). Find the first derivative of l(p) wrt p.
3*p**2
Let p(c) be the first derivative of -c**5/10 - c**2/2 - 4*c + 4. Let b(x) be the first derivative of p(x). Differentiate b(k) with respect to k.
-6*k**2
Let d(n) be the third derivative of 9*n**5/10 - n**4/24 + n**3/3 - 14*n**2 + 2. What is the second derivative of d(c) wrt c?
108
Let r = 1 + 2. Let p(m) = -3*m**3 + 3 + 6*m**2 + m**r - 2 - 6*m. Let x(k) = k**2 - k. Let d(l) = p(l) - 6*x(l). What is the first derivative of d(n) wrt n?
-6*n**2
Let n(j) = -48*j**4 - 8*j**3 + 9*j**2. Let y(b) = -32*b**4 - 5*b**3 + 6*b**2. Let c(t) = -5*n(t) + 8*y(t). Find the third derivative of c(z) wrt z.
-384*z
What is the second derivative of -6*a**4 + 1 - 1 - 3*a + 10*a wrt a?
-72*a**2
Let v = 1 - 1. Let j(w) be the second derivative of 0*w**2 - 1/15*w**6 + 1/3*w**3 + v*w**4 + 0 + 0*w**5 + 2*w. What is the second derivative of j(p) wrt p?
-24*p**2
What is the first derivative of -76*v**4 - 17454*v - 14 - 16 + 17454*v wrt v?
-304*v**3
Let b(p) be the first derivative of p**2 - p - 3 - 6*p + 9*p. Differentiate b(z) with respect to z.
2
Let l = 4 + 0. Suppose -2*s - 2*n + 10 = -l*n, -s = 5*n + 7. Find the second derivative of -m + 3*m - 4*m**3 + 2*m**s wrt m.
-12*m
Let k(i) be the first derivative of 7 + 4/5*i**5 + 0*i**4 + 0*i**3 + 0*i**2 + i. Find the first derivative of k(t) wrt t.