wrt f.
3*f**2 - 47
Let p(d) = -d**3 - d**2 - 5*d - 10. Let z be p(-3). Differentiate -16*m - z*m + 5*m + 3*m + 13 with respect to m.
-31
Let r(m) = -m**2 + m - 1. Let u(a) = -14*a**3 - 18*a**2 + 18*a + 28*a**3 - 22 - 16*a**3. Let w(n) = -36*r(n) + 2*u(n). Find the first derivative of w(c) wrt c.
-12*c**2
Differentiate 110 - 9*g**3 + 17*g**3 + 78*g**2 + 312 - 5*g**3 wrt g.
9*g**2 + 156*g
Let l(x) be the first derivative of -62*x**3/3 + 11*x + 70. Differentiate l(z) wrt z.
-124*z
Let r(w) be the first derivative of -343*w**2/2 + 484*w - 92. Differentiate r(t) with respect to t.
-343
Let q(d) = -335*d**3 - 50*d**2 + 4*d - 6. Let y(i) = 335*i**3 + 50*i**2 - 5*i + 8. Let c(n) = -4*q(n) - 3*y(n). Find the third derivative of c(g) wrt g.
2010
What is the second derivative of -3*o**4 + 5*o**2 - 2*o**2 - 8 + 9*o**2 - 113*o - 4 + 14 wrt o?
-36*o**2 + 24
Let z(v) be the third derivative of 133*v**5/30 - 117*v**3 + 118*v**2. What is the derivative of z(d) wrt d?
532*d
Let b(z) be the second derivative of -689*z**3/6 + 669*z**2/2 + 2*z - 7. Find the first derivative of b(t) wrt t.
-689
Let z(s) be the second derivative of -93*s**3/2 + 107*s**2/2 - 289*s. Differentiate z(y) wrt y.
-279
Let d(r) be the second derivative of 23*r**3/6 - 70*r**2 - 205*r. Find the first derivative of d(m) wrt m.
23
Let z(k) be the first derivative of -2*k**7/7 - 183*k**4/4 - 146*k**3/3 + k**2/2 - 601. What is the third derivative of z(a) wrt a?
-240*a**3 - 1098
Find the second derivative of 15*h**2 + h + 73*h**2 + 89 + 2 + 58 + 116 wrt h.
176
Let y(j) be the third derivative of -j**7/105 - j**5/24 - 3*j**4/8 + 23*j**2. Let z(d) be the second derivative of y(d). What is the derivative of z(a) wrt a?
-48*a
Let q(z) = 21*z**3 + 2*z**2 - 1. Let s be q(-1). Let j be 0 + -5*8/s. Find the second derivative of 7*i**4 - 135*i**2 - 3*i + 135*i**j wrt i.
84*i**2
Find the second derivative of 2*k - 28*k - 14*k**4 - 36*k**4 wrt k.
-600*k**2
Let j(l) = 5*l**5 - 21*l**4 + l**3 + 509*l**2. Let o(t) = -3*t**5 + 12*t**4 - 255*t**2. Let i(n) = -4*j(n) - 7*o(n). Find the third derivative of i(c) wrt c.
60*c**2 - 24
Let t(q) be the third derivative of -97*q**6/60 + 5*q**5/6 - q**3/3 + q**2 - 100*q. Find the third derivative of t(o) wrt o.
-1164
Let t(u) be the first derivative of 52*u**3/3 + 88*u - 92. What is the derivative of t(d) wrt d?
104*d
Suppose -11 = -v - 1. Suppose i + v = 6*i. Find the first derivative of 3*l**3 - 2*l**3 - 5 - i*l**3 wrt l.
-3*l**2
Let j(a) be the second derivative of a**6/15 - 17*a**5/4 - 3*a**2/2 - 3*a - 29. What is the first derivative of j(t) wrt t?
8*t**3 - 255*t**2
Let h be 18/(4/((-8)/(-3))). What is the third derivative of 9*l**2 + 2*l**2 - h*l**6 + 3*l**2 - 4*l**2 wrt l?
-1440*l**3
Let y(d) be the third derivative of 0*d + 7/20*d**5 + 0*d**3 - 11/24*d**4 - d**2 + 0. What is the second derivative of y(k) wrt k?
42
Suppose -3*z + 3*u = -30, 5*z + 4 = 3*u + 50. Suppose 0 = -s + 4, z*s = 5*d + 4*s - 24. What is the second derivative of -3*m - 9*m - d*m**4 + 2*m wrt m?
-96*m**2
Let j = -13 - -16. What is the second derivative of -7*r + 3 - j - 5*r**2 + 16*r**2 wrt r?
22
Let n = -25 + 27. Suppose -n*p - 6*x = -4*x, 0 = 5*p - x - 12. Differentiate 5*z**3 + 2 + 2 + p + 5*z**3 with respect to z.
30*z**2
Let w(k) be the third derivative of 37*k**6/60 - 5*k**4/24 + 5*k**3/6 + 3*k**2 + 4. Find the second derivative of w(b) wrt b.
444*b
What is the third derivative of 23*s**2 + 53*s**5 - 2*s**3 + 8*s**2 - 6*s**2 + 14*s**2 wrt s?
3180*s**2 - 12
Let b(l) = -l**2 + 3*l + 7. Let o be b(4). What is the first derivative of -5 - 5 + 0 + 9*v**o - 10 wrt v?
27*v**2
Suppose -2*p - 6 = -2. Let s(r) = -36*r**4 - 9*r**3 + 9*r - 28. Let h(z) = 9*z**4 + 2*z**3 - 2*z + 7. Let c(u) = p*s(u) - 9*h(u). Differentiate c(x) wrt x.
-36*x**3
Let y(k) = 2*k**2 - 31*k + 19. Let v be y(15). Find the second derivative of -14*s - 10*s**v + 9*s - 22*s wrt s.
-120*s**2
Let s(t) = -5*t**2 + 3*t - 86. Let n(a) = 8*a**2 - 9*a + 172. Let u(m) = 6*n(m) + 10*s(m). What is the first derivative of u(b) wrt b?
-4*b - 24
What is the third derivative of -487*w**4 + 9 - 2 + 10 + 5 + 4*w**2 wrt w?
-11688*w
Let b(x) be the third derivative of -x**9/15120 - 11*x**6/720 - x**5/60 - x**2. Let s(q) be the third derivative of b(q). Differentiate s(o) wrt o.
-12*o**2
Let r(p) = 2*p. Let l(o) = -13*o - 11. Let g(d) = -6*d - 5. Let q(t) = -9*g(t) + 4*l(t). Let f(w) = 3*q(w) - 2*r(w). Find the first derivative of f(z) wrt z.
2
Let h be (5*(-2 - -1))/(-1). Differentiate s**3 - 7 + 16 - h*s**3 wrt s.
-12*s**2
Suppose 4*u - u + 6 = -3*j, -5*j - 3*u = 0. What is the third derivative of -3*q**2 + q**2 + j*q**4 + 2*q**4 wrt q?
120*q
Suppose z - 4*q + 4 - 11 = 0, -3*q + 6 = 3*z. What is the third derivative of 9*t**2 + 10*t**3 - 2*t**2 - 8*t**3 + z*t**2 wrt t?
12
Suppose -3*s = -6*s - 6, 32 = 3*z - 4*s. Suppose -z = -7*n + 3*n. What is the second derivative of y**n + 44*y - 41*y + y**2 wrt y?
4
Let q(u) be the first derivative of u**7/15 - u**5/20 - 7*u**2 + 4. Let a(v) be the second derivative of q(v). What is the third derivative of a(s) wrt s?
336*s
Let w(n) = n + 2. Let k be w(2). What is the second derivative of 3 - 3 - 3*j**k - 14*j wrt j?
-36*j**2
Let y(n) be the second derivative of -23*n**5/5 + 7*n**3/2 + 77*n. What is the second derivative of y(l) wrt l?
-552*l
Suppose -18 = -3*i - 3*i. What is the second derivative of s**2 - 2*s**2 - i*s**2 - 5*s wrt s?
-8
What is the second derivative of 19*s**4 + 7*s**4 - 181*s - 293*s + s - 111*s**4 wrt s?
-1020*s**2
Let k be (4 + -1 - -2) + -2. Find the second derivative of -k*i - 19*i**3 + 10*i**3 + 5*i**3 wrt i.
-24*i
What is the first derivative of 10*i**4 - 156 + 6*i - 100*i**2 - 6*i + 97*i**2 wrt i?
40*i**3 - 6*i
Find the second derivative of -33*i + 54*i**5 + 3*i + 43*i**5 wrt i.
1940*i**3
What is the third derivative of k**2 - 25*k**5 - 1102*k**6 - 82*k**5 + 2218*k**6 - 1112*k**6 - 407*k wrt k?
480*k**3 - 6420*k**2
Let b = -2 - -4. What is the third derivative of -5*v**2 + 41*v**4 - 34*v**4 - 6*v**b wrt v?
168*v
What is the third derivative of d**2 + 21*d + 3*d**2 - d**2 + 3*d**2 + 154*d**3 - 4*d**2 wrt d?
924
Let l be (-3 + -6)/(9/6). Let y be (14/(-8))/(l/24). What is the third derivative of -7*v**5 - 7*v**2 + 4*v**2 + y*v**2 wrt v?
-420*v**2
Let i(w) be the first derivative of 257*w**5/5 + 240*w + 250. Find the first derivative of i(u) wrt u.
1028*u**3
Let a(z) = 2*z**2 - z + 1. Let k(q) = 650*q**2 - 542*q + 5. Let p(b) = -5*a(b) + k(b). Find the second derivative of p(j) wrt j.
1280
Suppose -10*w + 72 = -4*w. What is the third derivative of -3*r**2 - 21*r**2 + w*r**2 + 6*r**3 wrt r?
36
Let x(y) = 356*y**3 + 15*y - 2. Let i(n) = -713*n**3 - n**2 - 29*n + 5. Let v(m) = -2*i(m) - 5*x(m). Find the third derivative of v(p) wrt p.
-2124
Suppose -4*k = 0, -5*k + 4 = 4*m - 0*k. Let a = 2 + m. Find the second derivative of 4*z**5 + 6*z - 6*z**a - 5*z**5 + 6*z**3 wrt z.
-20*z**3
What is the derivative of -88*n**3 - 87*n**3 + 268 + 120*n**3 wrt n?
-165*n**2
Suppose -5*l + 15 = n, 4*l = 2*n + 11 + 1. Suppose 3*j = y + 5, n*j + 4*j - 4*y = -4. Differentiate -4*o**3 + j*o**3 - 5 - 5*o**3 + 2*o**3 wrt o.
-12*o**2
Let f(j) be the third derivative of -37*j**8/48 + j**5/15 - 40*j**3/3 + 850*j**2. What is the third derivative of f(u) wrt u?
-15540*u**2
Suppose 3*p = 7 - 1. Find the first derivative of 12 + p*d**2 + 6 - 12*d**2 - 8 wrt d.
-20*d
Let d = 62 - 30. Find the second derivative of d*t + 11*t**5 - 52*t + 31*t wrt t.
220*t**3
Let p(o) be the first derivative of -103*o**4/4 + 8*o**3/3 - 203. Find the third derivative of p(a) wrt a.
-618
Let u(h) be the first derivative of h**4/2 + 10*h**3/3 + 5*h**2 - 3*h + 18. What is the second derivative of u(x) wrt x?
12*x + 20
What is the first derivative of -434*q + 50 + 391*q - 119 wrt q?
-43
What is the second derivative of 172*n - 2 + 360*n**2 - 92*n - 91*n wrt n?
720
Let x(v) = -1441*v + 73. Let i(d) = 481*d - 22. Let m(z) = 14*i(z) + 4*x(z). Differentiate m(y) with respect to y.
970
Suppose -4*x = 13 - 21. What is the third derivative of -4*d - 5*d**x + 5*d - 20*d**3 + 18*d**3 + 12*d**2 + 4*d**5 wrt d?
240*d**2 - 12
Let v(b) be the third derivative of -b**6/60 - 13*b**4/12 + 89*b**3/2 + 4*b**2 + 42. What is the derivative of v(p) wrt p?
-6*