e the third derivative of t(r). Find the first derivative of c(p) wrt p.
3*p**2
Let k(v) = 2*v**2 - 3*v - 6. Let b(j) = j**2 - 1. Let d be (18/24)/(1/8). Let g(w) = d*b(w) - k(w). Find the second derivative of g(x) wrt x.
8
Let s(y) be the first derivative of -2*y**7/7 - 19*y**5/5 - 8*y**3/3 - 27. Find the third derivative of s(v) wrt v.
-240*v**3 - 456*v
Let y be 288/120 - (12/5 + -2). Let h(w) be the first derivative of 0*w + 0*w**3 + 3 + 3/2*w**y + 1/4*w**4. What is the second derivative of h(r) wrt r?
6*r
Let u(m) = 3*m - 3*m - 2 + 6*m. Let h(w) = w - 1. Let r(x) = 5*h(x) - u(x). Differentiate r(d) with respect to d.
-1
Let q(m) be the first derivative of -m - 3 + 1/6*m**4 + 0*m**2 + 1/6*m**3. Let u(p) be the first derivative of q(p). Find the second derivative of u(k) wrt k.
4
Let k(c) = -8*c**2 + 15*c + 5. Let o(j) = 4*j**2 - 7*j - 2. Let q(s) = -2*k(s) - 5*o(s). Find the second derivative of q(r) wrt r.
-8
Let l(k) be the second derivative of -k**5/10 + 4*k**3/3 - 2*k. What is the second derivative of l(b) wrt b?
-12*b
Suppose 0 = 5*v + 12 - 32. Find the second derivative of -v*m**3 + 2*m**3 - 4*m - m**3 + 3*m wrt m.
-18*m
Let v(p) = -3*p**2 - p - 2. Let n(o) = 2*o**2 + 2*o + 3. Suppose 0 = t + 2*t + 18. Let x(h) = t*v(h) - 4*n(h). What is the second derivative of x(k) wrt k?
20
Suppose 3*u = 6 - 0. What is the first derivative of 4*h**u - 2*h**2 + 8 - 3 wrt h?
4*h
Let d be (-5)/(-20) + 30/8. Differentiate -4 - 3*h + d + 5 with respect to h.
-3
Let b = -15 - -21. Suppose l + r - 2*r + 2 = 0, b = -5*l + 4*r. What is the first derivative of -3*z - l + z + 0*z wrt z?
-2
What is the derivative of 2*w - 6*w - 5*w - 3 wrt w?
-9
Find the second derivative of -17*k - 4*k - 2*k**4 + 8*k**4 wrt k.
72*k**2
Let l = 10 + -7. Suppose 20 - 5 = l*w. What is the second derivative of -3*a**3 + 0*a**3 - 4*a + w*a wrt a?
-18*a
Let h(d) be the first derivative of -d**4 - 2*d + 3. Differentiate h(a) with respect to a.
-12*a**2
Differentiate 3 - 337*i**2 - 4*i**3 + 337*i**2 with respect to i.
-12*i**2
Suppose 6 = 2*w - 4. Differentiate -1 + 3 + 7*v**3 - w with respect to v.
21*v**2
Let a(v) be the second derivative of 7*v**5/20 + 7*v**4/12 + 6*v. What is the third derivative of a(n) wrt n?
42
Let n(x) = 4*x**4 - 6*x**3 - 14*x**2 + 6*x + 6. Let f(y) = -y**3 - y**2 + y + 1. Let s(a) = -6*f(a) + n(a). Find the third derivative of s(b) wrt b.
96*b
Let h be (4/(-14))/((-1)/7). Find the third derivative of 5*j**5 - 7*j**5 + j**h + 4*j**5 wrt j.
120*j**2
Let p = -4 + 8. Let u(v) = -3*v + 17. Let c(j) = 2*j - 9. Let t(s) = p*u(s) + 7*c(s). What is the derivative of t(i) wrt i?
2
Let h(p) = p - 2. Let s be h(4). Suppose -2*v + s = 2*i - 4, 3*i = 2*v + 9. Find the third derivative of -4*a**3 + 4*a**i + a**2 - 2*a**4 wrt a.
-48*a
Let n = 44 - 44. Let b(f) be the first derivative of -3*f - 1/5*f**5 + 0*f**2 + 0*f**3 + 2 + n*f**4. Find the first derivative of b(s) wrt s.
-4*s**3
Let q(b) be the second derivative of 0*b**2 + 0*b**4 - 1/21*b**7 - 5/6*b**3 + 0 + 0*b**5 + b + 0*b**6. What is the second derivative of q(i) wrt i?
-40*i**3
Let f(b) be the second derivative of 2*b**6/15 + 5*b**3/2 - 13*b. What is the second derivative of f(c) wrt c?
48*c**2
Suppose 5*j + 3*h = 28, 0*j + 5*h + 44 = 3*j. Suppose 4*k + q + j = 6*k, -4*k + 16 = -5*q. What is the first derivative of -t**k - 1 - t**4 + 3 wrt t?
-8*t**3
Let f(m) = 5*m**3 - 31*m**2. Let n(t) = 5*t**3 - 32*t**2. Let l(j) = 3*f(j) - 2*n(j). Find the third derivative of l(y) wrt y.
30
Let v(i) = 24*i - 43. Let m(s) = 48*s - 87. Let y(h) = 6*m(h) - 13*v(h). What is the first derivative of y(c) wrt c?
-24
Let f(o) be the second derivative of 0*o**3 + 0 + 7*o + 7/12*o**4 - 4*o**2. Differentiate f(s) with respect to s.
14*s
Let r(d) = d**2 + 3*d - 3. Let i be r(-3). Let p = i - -7. Find the second derivative of -k**4 - 3*k + 0*k**p + 2*k wrt k.
-12*k**2
Let v(y) = -25*y**4 + 7*y**2 - 7*y + 2. Let q(k) = -12*k**4 + 3*k**2 - 3*k + 1. Let z(a) = -7*q(a) + 3*v(a). Differentiate z(c) wrt c.
36*c**3
Let d(l) = l - 5. Let w = -1 - -11. Let p = 17 - w. Let q(x) = -x + 6. Let h(n) = p*d(n) + 6*q(n). Differentiate h(u) wrt u.
1
Let g(z) be the second derivative of -6*z**5/5 + 37*z**2/2 + z. Differentiate g(i) wrt i.
-72*i**2
Let j(m) = -m**3 + 3*m**2 + 7*m - 6. Let n be j(4). Suppose 2*g + 8 = n*g. What is the third derivative of 3*i**2 + g*i**3 - 2*i**2 - 5*i**3 wrt i?
-18
Let c(s) = 9*s - 1. Suppose -3*w + 6*t + 22 = 2*t, -w + 2*t + 10 = 0. Let q be c(w). Find the second derivative of -q*i**2 + 17*i**2 + i - 3*i**4 wrt i.
-36*i**2
Let k = -48 + 34. Let i = -1 - k. What is the first derivative of -i*o**2 - 2*o**4 + 13*o**2 - 1 wrt o?
-8*o**3
What is the derivative of 46*v - 18 + 6 - 42 - 9*v wrt v?
37
Let o(k) = k**3 + k**2 + 1. Let w(v) = 6*v**2. Let q = -11 + 17. Let f(p) = q*o(p) - w(p). What is the first derivative of f(s) wrt s?
18*s**2
Find the first derivative of 4*r**3 - 15 + 18 + 3*r**3 wrt r.
21*r**2
Let s(y) = -y**3 + 7*y**2 + 4. Let a be s(7). Suppose 0 = -a*l + 3*q + 28, 5*l - 5 = -3*q + 3. Differentiate d**4 + d**4 - 4*d**l - 2 wrt d.
-8*d**3
Let x(s) be the second derivative of -1/42*s**7 + 0*s**6 + 5/12*s**4 + 0*s**5 + 2*s + 0*s**3 + 0 + 0*s**2. What is the third derivative of x(z) wrt z?
-60*z**2
Let y = 14 + -5. Let b(r) = 8*r - 4. Let m(i) = -2 + 1 + 0*i + 2*i. Let p(a) = y*m(a) - 2*b(a). Differentiate p(c) with respect to c.
2
Let n(w) be the third derivative of w**2 + 1/60*w**5 + 1/336*w**8 + 0*w**3 + 0*w**6 + 0 + 0*w + 0*w**7 + 0*w**4. Find the third derivative of n(a) wrt a.
60*a**2
Let i = 10 + -8. Differentiate 4*l**4 - l - l - 1 + i*l with respect to l.
16*l**3
Let d(l) be the first derivative of -5*l**3/3 + 2*l + 18. Differentiate d(r) wrt r.
-10*r
Let o(w) = -2*w - 4. Let l be o(-5). Find the second derivative of -2*u**4 - 3*u - 4*u + l*u wrt u.
-24*u**2
Suppose -2 = 2*p - 14. Let g = p - 3. Find the second derivative of 2*d**2 + 3 - g + d wrt d.
4
Let y(j) be the first derivative of -3*j**3 + 4*j**2 - 5. Find the second derivative of y(z) wrt z.
-18
Let z(h) = 10*h**3 + 9*h**2 + 5*h + 54. Let v(c) = 5*c**3 + 5*c**2 + 3*c + 27. Let u(g) = 5*v(g) - 3*z(g). What is the first derivative of u(t) wrt t?
-15*t**2 - 4*t
Let n(f) = -71*f**5 + 23*f**2 + 5*f - 5. Let a(p) = -35*p**5 + 12*p**2 + 2*p - 2. Let i(s) = -5*a(s) + 2*n(s). What is the third derivative of i(q) wrt q?
1980*q**2
Let o(i) = -i. Let f be o(-5). Let h = -1 - -4. What is the second derivative of f*d + d**3 - 4*d + 0*d**h wrt d?
6*d
Let l(m) = -3*m**4 + 3*m**3 - 13*m**2 - 3. Let o(i) = -i**3 + i**2 + 1. Let h(g) = -l(g) - 3*o(g). Find the third derivative of h(k) wrt k.
72*k
Find the second derivative of -32*y**2 + 3*y + 3*y + 40*y**2 wrt y.
16
Let d(n) = 60*n**3 - 10*n**2 - 4*n + 4. Let z(m) = 60*m**3 - 8*m**2 - 5*m + 3. Let r(f) = -3*d(f) + 4*z(f). Find the third derivative of r(w) wrt w.
360
Let f = -7 - -11. Suppose 3*p - p = f. Find the third derivative of 0*u**2 + p*u**3 + 3*u**2 - u**2 wrt u.
12
Let u(c) be the second derivative of -5*c**3/6 - c**2 + c. Let f(g) = 5*g + 2. Let z(h) = -5*f(h) - 6*u(h). Find the first derivative of z(d) wrt d.
5
Differentiate -30 + 40*s - 8*s - 4*s with respect to s.
28
Find the third derivative of -4*i**4 - 8*i**2 - 15*i**2 + 3*i**4 - 7*i**4 wrt i.
-192*i
Let p = -14 - -22. Differentiate -p*o + 0*o + 4 - 5 wrt o.
-8
Let t(c) = 2*c - 3. Let a be t(3). Let s(q) be the first derivative of 1/3*q**a - 2 + 0*q + 0*q**2 - 1/2*q**4. Find the third derivative of s(o) wrt o.
-12
Let o(f) = 0*f - f + 7*f + 5 - 9*f**2. Let p(q) = -5*q**2 + 3*q + 3. Let g(n) = 3*o(n) - 5*p(n). What is the second derivative of g(d) wrt d?
-4
Let q(j) = -11*j**3 + j. Let w(r) = 23*r**3 - 2*r. Let l(a) = -5*q(a) - 3*w(a). Find the second derivative of l(i) wrt i.
-84*i
Let z(s) be the first derivative of 27*s**2 + 3*s - 65. Differentiate z(x) wrt x.
54
What is the second derivative of -23 + 3*x - 9*x**2 + 23 wrt x?
-18
Let d(k) be the first derivative of k**4/3 - 5*k**3/6 - 3*k**2 + 2. Let h(f) be the second derivative of d(f). Differentiate h(n) wrt n.
8
Let m(z) be the second derivative of -11*z**3/2 - 2*z**2 + 22*z. Find the first derivative of m(i) wrt i.
-33
Let u(c) = c**3 + 10*c**2 - 3*c + 3. Let w(n) = 2*n**3 + 21*n**2 - 5*n + 5. L