 + 7*b**3/6 - 5*b**2. Differentiate s(c) wrt c.
3
Let k(b) = b**5 - b**3 - b + 1. Let v(i) = -22*i**5 - 5*i**3 + 23*i**2 - 5*i + 5. Let n(o) = -5*k(o) + v(o). Find the third derivative of n(x) wrt x.
-1620*x**2
Find the third derivative of 12*q**3 + 2*q**2 + q**2 + 0*q**2 + 2*q**3 wrt q.
84
Let y(i) = i**2 + i. Let z(v) = -13*v**4 - 3*v**3 - 2*v**2 + v + 6. Let m(t) = 2*y(t) + z(t). Find the second derivative of m(k) wrt k.
-156*k**2 - 18*k
Let b(l) = -l**3 - 8*l**2 - 9*l - 11. Let x be b(-7). What is the derivative of 0 - 1 - 5*w**3 - x*w**3 - 1 wrt w?
-24*w**2
What is the second derivative of -3 + 3*r**2 - r + 9 - 6 wrt r?
6
Let a(d) be the first derivative of -5*d**3/3 - 7*d**2/2 - 6. Find the second derivative of a(n) wrt n.
-10
Let h(o) = 9*o**3 + 59*o + 12. Let c(l) = -4*l**3 - 29*l - 6. Let m(v) = -5*c(v) - 2*h(v). What is the derivative of m(n) wrt n?
6*n**2 + 27
Let p(f) be the first derivative of 11*f**2/2 + 12*f - 10. What is the derivative of p(b) wrt b?
11
Suppose -2*m + 2 + 8 = 0. Suppose m*i + o = 5, -5*i + 3*o = -o - 30. What is the derivative of 0 + 0*a**2 + i*a**2 + 1 wrt a?
4*a
Suppose 2*l - 5*l + 11 = -4*m, 2*l - 4*m - 14 = 0. Let k = 9 + l. What is the third derivative of 3*h**6 - 7*h**2 + h**k + 5*h**2 wrt h?
480*h**3
Let x(m) be the second derivative of 0*m**4 - 1/14*m**7 + 0*m**2 + 0*m**6 + 0 - 2*m + 0*m**5 - 1/2*m**3. Find the second derivative of x(d) wrt d.
-60*d**3
Let f be (-1)/((3/(-3))/3). Let s be (f - 1)/(3/3). Find the third derivative of 0*w**4 + 2*w**4 + 0*w**2 - s*w**2 wrt w.
48*w
Let v(j) be the first derivative of -3*j**4 - j**2 - 45*j + 44. Find the first derivative of v(g) wrt g.
-36*g**2 - 2
Let l(b) be the second derivative of -2/3*b**3 + b + 0 + 3/2*b**2. What is the first derivative of l(k) wrt k?
-4
Let m(b) = -6*b**4 + 10*b**3 + 6*b**2 + 5*b. Let f(x) = -x**4 + x**3 + x**2 + x. Let z(c) = 5*f(c) - m(c). What is the third derivative of z(r) wrt r?
24*r - 30
Find the third derivative of -x**2 + 0*x**4 + 0*x**4 + 5*x**2 - 8*x**4 wrt x.
-192*x
Let z(v) = -3*v**3 - 8. Let s(f) = 1. Suppose -4*d - 11 = 2*b - 3, 2*b = 5*d + 1. Let p(y) = d*z(y) - 6*s(y). Find the first derivative of p(k) wrt k.
9*k**2
Find the third derivative of -58*p**2 + 23*p**2 - 9*p**5 + 11*p**2 wrt p.
-540*p**2
Let a(t) be the second derivative of -5*t**4/4 + t**3/3 + 12*t**2 - t - 40. What is the first derivative of a(w) wrt w?
-30*w + 2
Let x(n) = 13*n**2 + 24*n - 6. Let p(t) = -39*t**2 - 71*t + 17. Let r(v) = 6*p(v) + 17*x(v). What is the second derivative of r(c) wrt c?
-26
Let h(l) be the second derivative of -3*l**5/4 + 14*l**2 - 24*l. What is the first derivative of h(s) wrt s?
-45*s**2
Differentiate -23 + 7 + 10 - 4*v**4 wrt v.
-16*v**3
Let g(x) = -10*x**4 - 13*x**2 + 3*x. Let l(j) = 169*j**4 + 221*j**2 - 52*j. Let d(s) = -52*g(s) - 3*l(s). What is the third derivative of d(y) wrt y?
312*y
Let a(o) = 3 - 3*o - 5 - 3 - o. Let p(h) = 17*h + 21. Let w(y) = -9*a(y) - 2*p(y). Differentiate w(k) wrt k.
2
Find the first derivative of 6*c - 2*c - 5 - 3*c + 0*c wrt c.
1
Let o be (-6)/(-9)*6/(-4). Let z = o - -3. What is the third derivative of 0*d**2 + d**z + d**2 - d**5 wrt d?
-60*d**2
What is the first derivative of 1 - 34*i**2 - 4 + 2 - 5 wrt i?
-68*i
Let u(v) = v + 4. Let b = -6 + 6. Let p be u(b). What is the second derivative of t - 3*t**p + 0*t**4 + 2*t**4 wrt t?
-12*t**2
Let s = 5 - 5. Let i = 4 - s. Find the third derivative of j**2 + 0*j**4 + 0*j**4 - j**i wrt j.
-24*j
Let l(r) = r**2 - 2*r. Let g be l(4). Find the first derivative of 3*a - 3 - 14*a + g*a wrt a.
-3
Let g be 8/(-4) - (-5 + 0). Let o(c) be the second derivative of 0*c**2 + 0*c**4 + 2*c - 1/6*c**g + 1/10*c**5 + 0. What is the second derivative of o(r) wrt r?
12*r
Let u be 1/2*(-4)/(-2). What is the first derivative of 0*i**2 - 2*i**2 - u + 4 wrt i?
-4*i
Let v(r) = -r**2 - 11*r - 8. Let t be v(-10). What is the second derivative of -3*i + 2*i**t + i + 4*i wrt i?
4
What is the third derivative of 6*u**3 + 9*u**2 - u**3 + 5*u**2 + 0*u**3 wrt u?
30
Let z(v) be the second derivative of v**6/15 + 4*v**2 + 7*v. Differentiate z(p) with respect to p.
8*p**3
Let d(s) be the second derivative of -s**5/20 + s**4/3 - s. Let a be d(4). What is the second derivative of c + c - 2*c**5 + a*c**5 wrt c?
-40*c**3
Let h(n) be the second derivative of -3*n + 0 + 1/12*n**4 + 1/2*n**3 + 0*n**2. Find the second derivative of h(s) wrt s.
2
Let h be -2 + 3 - (-21)/(-28). Let k(o) be the first derivative of -2 + 0*o + h*o**4 - 1/2*o**2 + 0*o**3. What is the second derivative of k(q) wrt q?
6*q
Let z(n) be the second derivative of 0*n**6 - 2*n + 0*n**3 + 0*n**2 - 1/12*n**4 + 0 + 1/42*n**7 + 0*n**5. What is the third derivative of z(x) wrt x?
60*x**2
Let k = 4531/30 - 151. Let g(m) be the second derivative of -2*m + 0*m**2 - 1/6*m**4 + 0 + 0*m**5 - k*m**6 + 0*m**3. What is the third derivative of g(b) wrt b?
-24*b
Suppose -5*f + 30 = -5*p, -5*f + 3*p + 15 + 9 = 0. Differentiate 0*y**3 + 4*y**3 + 1 - 2*y**f with respect to y.
6*y**2
Let l(z) = 2*z - 2. Let q be l(2). Let b(d) = 3*d - 7. Let m be b(4). What is the second derivative of 3*k**q - k - m*k**2 + 3 - 3 wrt k?
-4
Let y(g) be the third derivative of g**7/5040 - g**6/90 - g**5/15 + 5*g**2. Let x(p) be the third derivative of y(p). Differentiate x(n) with respect to n.
1
Let k be (-3)/(-6)*10 - -2. Let b = 11 - k. Differentiate b*p - 3*p - 1 + 2 wrt p.
1
Let c = 0 - -2. Suppose -c*t + 3*w + 14 = 2*t, -5*t = -3*w - 16. What is the second derivative of -4*i**2 + i + t*i**2 - 3*i wrt i?
-4
Find the first derivative of 31*g**4 - 36*g**4 - 16 + 2 wrt g.
-20*g**3
What is the third derivative of 30*k**2 - 59*k**2 + 39*k**3 - 3*k**3 wrt k?
216
Let n(x) = x + 1. Let w(h) = 12*h + 11. Let g(i) = -10*n(i) + 2*w(i). What is the first derivative of g(d) wrt d?
14
What is the second derivative of -10*x + 8*x + x**3 - 13*x wrt x?
6*x
Let c(b) be the second derivative of 1/7*b**7 + 0*b**5 + 3/2*b**3 + 0 + 0*b**6 + 0*b**4 + 5*b + 0*b**2. What is the second derivative of c(t) wrt t?
120*t**3
Let v(b) be the third derivative of b**6/120 - 11*b**5/60 - 7*b**2. What is the third derivative of v(k) wrt k?
6
What is the second derivative of -30 - r**3 + 30 + 5*r wrt r?
-6*r
Find the second derivative of 0*a**3 + 0*a**3 + 5*a + 3*a**4 - 14*a wrt a.
36*a**2
Suppose -c + 3*k = k - 6, -3*c - 5*k + 29 = 0. What is the derivative of 5 + 8*j - 7 - c wrt j?
8
Let t(z) be the third derivative of z**7/420 - z**4/8 - z**3/2 + 3*z**2. Let o(k) be the first derivative of t(k). Differentiate o(r) with respect to r.
6*r**2
Find the first derivative of 2*f**4 + 0 - 5*f**4 - 20*f**4 - 2 wrt f.
-92*f**3
What is the second derivative of -38 + 38 - 2*p**2 + 8*p**2 - 15*p wrt p?
12
Let j(a) = a**2 + 3*a - 3. Let x(t) = -4 + t + t + 3 - 2 + t**2. Let l(c) = 2*j(c) - 3*x(c). Differentiate l(g) wrt g.
-2*g
Let i(w) = 0*w + 5*w + 0*w - 2 - 3*w. Let j(c) = -c**2 + 5*c - 3. Let a(r) = 5*i(r) - 2*j(r). What is the first derivative of a(y) wrt y?
4*y
Let j(s) be the second derivative of -s**8/14 + s**4/2 + 7*s. What is the third derivative of j(o) wrt o?
-480*o**3
Let q(d) = -10*d**4 - 8*d**3 - d**2 - 8. Let v(i) = -i**4 - i**3 - 1. Let x(j) = 3*q(j) - 24*v(j). Find the third derivative of x(f) wrt f.
-144*f
Let p(f) be the second derivative of -3*f**5/20 + 5*f**4/6 - 10*f. Find the third derivative of p(g) wrt g.
-18
Let h be 1*(-13)/(3 + -2). Let d = -9 - h. What is the second derivative of -d*w**4 - 9*w + 0*w**4 + 8*w wrt w?
-48*w**2
Let v(z) = -39*z**4 - 4*z**3 - 33*z - 4. Let b(w) = -w**4 - w**3 - 1. Let p(m) = 4*b(m) - v(m). What is the second derivative of p(l) wrt l?
420*l**2
Let p(j) = -17*j**2 + 23*j + 5. Let d(s) = 25*s**2 - 35*s - 8. Let h = 21 - 26. Let z(c) = h*d(c) - 8*p(c). What is the second derivative of z(x) wrt x?
22
Let y(v) = -1. Let b = 8 - 5. Let a(q) = -3*q + 0*q + b + 2*q. Let r(c) = -2*a(c) - 7*y(c). Differentiate r(l) with respect to l.
2
Let g(m) = m - 3. Let n be g(5). Let f be -3 - (1 - n) - -4. What is the third derivative of 3 - u**2 - f*u**3 - 3 wrt u?
-12
Suppose 3*c + 2*c = 0. What is the first derivative of c*x + 2*x - x - 3 wrt x?
1
Let p = -14 - -27. Let k = p - 7. What is the third derivative of -2*m**2 + m - m**k - m wrt m?
-120*m**3
Let o(