44*w
Let d(j) be the second derivative of j**6/15 + 59*j**4/12 + 11*j**3/6 - j**2/2 + 96*j. What is the second derivative of d(z) wrt z?
24*z**2 + 118
Let l(s) be the second derivative of -89*s**5/20 - 5*s**3/6 - 7*s**2 + 91*s. What is the second derivative of l(p) wrt p?
-534*p
Let d(m) be the second derivative of 0 + 0*m**4 - 8/3*m**3 - 17*m - 1/2*m**2 + 0*m**5 - 16/15*m**6. Find the second derivative of d(t) wrt t.
-384*t**2
Let s(k) be the third derivative of -k**6/360 + 19*k**4/12 - 17*k**3/6 - 50*k**2. Let t(y) be the first derivative of s(y). Differentiate t(o) wrt o.
-2*o
Let v be (-14)/(-7)*(-1 - -2). Find the third derivative of 6*i**2 - 13*i**2 + i**3 - 6*i**v + 8*i**3 wrt i.
54
Differentiate 133*t**4 - 483*t**3 + 483*t**3 - 56 + 184 wrt t.
532*t**3
Find the third derivative of -95*j**5 - 130*j**5 - 97*j**2 + 112*j**5 wrt j.
-6780*j**2
Suppose 0 = 20*r - 22*r + 20. What is the first derivative of 86*x**4 - 48*x**4 - 59*x**4 + r wrt x?
-84*x**3
Let j(z) be the second derivative of z**5/20 + 13*z**4/6 - z**3/3 + 21*z**2/2 - 6*z - 4. Find the second derivative of j(o) wrt o.
6*o + 52
Let r = -4879/3 - -1628. Let x(p) be the first derivative of 0*p**2 + 0*p**4 - 4 + 0*p + 0*p**5 + r*p**6 - 8/3*p**3. What is the third derivative of x(d) wrt d?
600*d**2
Suppose -2*a = -g - 4, g = -a - a - 4. Let u = g + 8. Find the third derivative of 0 - u*d**2 + 0*d**4 + 6*d**4 + 0 wrt d.
144*d
Let l(i) = -i**3 - i. Let t(y) = 73*y**3 - 81*y. Let o(k) = 6*l(k) + t(k). What is the second derivative of o(v) wrt v?
402*v
Let y(a) be the second derivative of a**6/30 - a**5/20 - 3*a**2 + 7*a. Let t(k) be the first derivative of y(k). What is the third derivative of t(c) wrt c?
24
What is the derivative of -24*d - 12 + 14 + 27 + 23*d - 91*d wrt d?
-92
Suppose 41*h - 29*h = 36. Let j(d) be the third derivative of -11/60*d**5 + 5*d**2 - 3/2*d**h + 0 + 0*d**4 + 0*d. Find the first derivative of j(z) wrt z.
-22*z
Let a(l) be the first derivative of -441*l**4/4 + 413*l - 630. Differentiate a(n) wrt n.
-1323*n**2
Let p(s) be the first derivative of -33*s**7/7 - 31*s**3 + 10. What is the third derivative of p(f) wrt f?
-3960*f**3
Let t(a) be the first derivative of 0*a**2 + 12 + 0*a**3 - 17*a + 3/4*a**4. Find the first derivative of t(d) wrt d.
9*d**2
Suppose f + 1 = -5*r, -2*f = -4*r + 2*r - 34. Differentiate f*b**3 - 14*b**3 - 8 - 15*b**3 + 0 wrt b.
-45*b**2
Let b(z) be the first derivative of 0*z - 3 - 3*z**3 - 17/2*z**2. Find the second derivative of b(n) wrt n.
-18
Let l(p) = -427*p**3 + 15*p**2 - 662*p - 5. Let v(g) = 641*g**3 - 24*g**2 + 993*g + 8. Let f(m) = -8*l(m) - 5*v(m). What is the second derivative of f(z) wrt z?
1266*z
Let m(v) = 438*v**2 - 595. Let c(d) = -219*d**2 + 299. Let o(n) = -5*c(n) - 3*m(n). Differentiate o(a) with respect to a.
-438*a
Suppose k + 729 = 4*i, i + 538 = 4*i + k. What is the third derivative of -i*w**2 - 2*w + 2*w + 176*w**2 - 16*w**4 wrt w?
-384*w
Let x(s) be the third derivative of -41*s**7/70 + s**4/12 + 115*s**3/3 + 13*s**2 + 10. Differentiate x(r) wrt r.
-492*r**3 + 2
Let k(d) = -d**5 - d**4 + d**2 - 2*d. Let g(f) = -12*f**6 - f**5 + 12*f**4 + 47*f**2 - 2*f. Let z(q) = -g(q) + k(q). Find the third derivative of z(u) wrt u.
1440*u**3 - 312*u
Suppose 0 = 4*x - 2*c - 10, 2*x = -0*c - 4*c. What is the first derivative of 29*j**2 + 19 - 10*j**x + 16*j**2 wrt j?
70*j
Let r(w) be the first derivative of -w**6/60 - 3*w**4/8 - 8*w**3/3 + 6. Let z(q) be the third derivative of r(q). What is the derivative of z(f) wrt f?
-12*f
Let o = 3 + 18. Let u = o + -17. What is the second derivative of -5*y**4 + 3*y - 4*y - u*y**4 - 4*y wrt y?
-108*y**2
Let u = -6 + 10. Let o(p) = 3*p - 10. Let c be o(u). What is the third derivative of -7*w**3 + 0 + 6*w**c + w**2 + 0 wrt w?
-42
Let p(f) = -f + 10. Suppose 0 = 17*h - 13*h - 24. Let d be p(h). Differentiate -7*z**d + 21 - 26*z - 9 + 26*z with respect to z.
-28*z**3
Let u be ((-189)/3)/(5/5). Let x be u/6*2/(-3). Differentiate x - k**2 - 2*k**2 - k**2 with respect to k.
-8*k
Let j(o) = -o**2 + 9*o - 6. Let n be j(8). Let i = 9 - n. Differentiate 3*p**4 - 4 + 4 - p**4 - i with respect to p.
8*p**3
Suppose 0 = 3*l + 3*w - 18, -l = l - 3*w + 3. Let d = l - -2. Find the third derivative of 1 - d*a**4 + 2 + 10*a**2 - 3 wrt a.
-120*a
Let d(k) = -5*k**2 - 35*k + 623. Let j(v) = v**2 + 12*v - 208. Let h(o) = -6*d(o) - 17*j(o). Find the first derivative of h(q) wrt q.
26*q + 6
Let i be 68/(-6)*(-3)/2 - -1. Differentiate 21*b + 0 - 4 - i with respect to b.
21
Let k(y) be the first derivative of -12*y**5/5 - y**2 - 220*y + 125. What is the derivative of k(r) wrt r?
-48*r**3 - 2
Let w(z) be the first derivative of -207*z**4/4 + 11*z**3 + z**2/2 - 22. Find the third derivative of w(k) wrt k.
-1242
What is the third derivative of 2*d + 288*d**3 + 15*d**2 - 8*d - 144*d**3 wrt d?
864
Let r = 27 + -19. Suppose -t - r = -5*t. Differentiate -4*w**3 + t - 5 + 2 with respect to w.
-12*w**2
Let l(g) = 12 - 2 - 14 + 3*g. Let y(q) = -14*q + 20. Suppose -10 = 7*c - 2*c. Let x(p) = c*y(p) - 11*l(p). Differentiate x(r) with respect to r.
-5
Let w(l) = -l**3 - l**2 + l + 1. Let s = 13 + -16. Let p(c) = -9*c**3 - 3*c**2 + 3*c + 2. Let j(r) = s*w(r) + p(r). What is the first derivative of j(x) wrt x?
-18*x**2
Let y(v) = -v**2 + 5*v - 4. Suppose -3*d + 3 = 3*u + 9, -40 = -5*u + 5*d. Let r be y(u). Differentiate 1 + 3 - 47*i**2 + 52*i**r wrt i.
10*i
What is the second derivative of 106*o + 2*o**2 + 322*o**5 - 18*o**2 - 324*o**5 wrt o?
-40*o**3 - 32
Let l(d) be the third derivative of 0 + 22*d**2 + 0*d**3 + 0*d**6 + 0*d**7 - 23/24*d**4 + 0*d + 0*d**5 - 1/84*d**8. Find the second derivative of l(p) wrt p.
-80*p**3
Let g(c) be the first derivative of -32/3*c**3 + 0*c**5 + 0*c**2 + 32 + 0*c**6 + 0*c**4 - 31/7*c**7 + 0*c. What is the third derivative of g(l) wrt l?
-3720*l**3
Let c(a) = -15*a**5 + 43*a + 9*a**5 + 15*a**5. Let i(y) = -5*y**5 - 22*y. Let q(h) = 6*c(h) + 10*i(h). What is the second derivative of q(v) wrt v?
80*v**3
Suppose 4*y - 8 = -0*y. What is the third derivative of -19*c**y + 8*c**2 - 9*c**4 + 19*c**2 wrt c?
-216*c
Suppose -24 = -4*k - 4*i, i = -2*k + 4*k - 3. What is the derivative of f + 5*f - 4 + 9 + k*f wrt f?
9
Let u(o) = 4*o**3 + 669*o**2 + 546*o - 11. Let j(b) = -2*b**3 - 335*b**2 - 273*b + 6. Let d(y) = 11*j(y) + 6*u(y). Find the second derivative of d(l) wrt l.
12*l + 658
Let v(f) be the third derivative of 179*f**6/30 - 232*f**3/3 + 206*f**2. What is the first derivative of v(g) wrt g?
2148*g**2
Let c = 69 - 25. Find the second derivative of -23*f - c*f**2 - 22*f + 46*f - 3 wrt f.
-88
Let g(o) be the first derivative of -o**7/42 + o**5/6 + o**2/2 + 4. Let d(i) be the second derivative of g(i). What is the third derivative of d(a) wrt a?
-120*a
Let g(v) = v**2 - 4*v. Let r(d) = -d**2 + 8*d. Let q(m) = -m**2 + 5*m + 8. Let k be q(6). Let w(p) = k*r(p) + 5*g(p). Find the second derivative of w(l) wrt l.
6
Let x(z) = -343*z**2 + z - 80. Let g(t) = 693*t**2 - t + 159. Let d(p) = -3*g(p) - 5*x(p). Find the second derivative of d(m) wrt m.
-728
Let l(i) be the first derivative of 1/2*i**2 - 24*i - 10. Find the first derivative of l(f) wrt f.
1
Let h(x) be the third derivative of 17*x**8/336 + x**5/20 + 5*x**4/12 + x**3/3 - 42*x**2. What is the second derivative of h(d) wrt d?
340*d**3 + 6
Let g(i) be the first derivative of 0*i + 0*i**5 - 11/3*i**6 + 0*i**3 - 4*i**2 + 0*i**4 + 7. Find the second derivative of g(h) wrt h.
-440*h**3
Let b = 285/578 + 2/289. Let a(h) be the first derivative of 1 - b*h**2 - h. What is the derivative of a(i) wrt i?
-1
Let q(j) be the third derivative of j**7/105 + 3*j**6/8 + 7*j**3/2 + 31*j**2. What is the first derivative of q(g) wrt g?
8*g**3 + 135*g**2
Let h(j) = 3*j**3 + 9*j**2 + 14*j + 2. Let w(y) = -3*y**3 - 10*y**2 - 15*y - 3. Let p(b) = -3*h(b) - 2*w(b). Find the second derivative of p(t) wrt t.
-18*t - 14
Let g(k) be the first derivative of -144*k**3 - 91*k + 118. What is the first derivative of g(w) wrt w?
-864*w
Let c(j) be the first derivative of 14*j + 37*j + 34 + 7*j**4 - j**4. What is the derivative of c(n) wrt n?
72*n**2
What is the derivative of 57 - 30*a + 15*a**2 + 30*a - 27*a**2 - 136*a**2 wrt a?
-296*a
Let c = -4 + -2. Let z(s) = s**2 + 5*s - 2. Let u be z