d). Find the third derivative of q(k) wrt k.
54
Let w be -3 - 3*4/(-3). Suppose 0 = -4*z - 2*s + 2, 3*z + 2*s = -w. What is the first derivative of -2*g**3 - 1 + 2*g**3 - 4*g**z wrt g?
-12*g**2
Suppose -2*v - 30 = -7*v. Let s(h) be the third derivative of 1/210*h**7 + 0*h**4 + h**2 + 0 + 0*h**5 - 1/6*h**3 + 0*h**v + 0*h. Differentiate s(y) wrt y.
4*y**3
Let a(k) = -3*k - 1. Let h be a(-7). What is the derivative of 9*s**2 + 8 + 18*s**2 - h*s**2 wrt s?
14*s
Let a(x) = x**3 - 14. Let z(o) be the second derivative of -o**5/10 + 21*o**2/2 - 2*o. Let f(g) = -8*a(g) - 5*z(g). Differentiate f(s) wrt s.
6*s**2
What is the first derivative of 0*q**2 - 31 + 23 - q**3 + 0*q**2 wrt q?
-3*q**2
Let t(b) be the third derivative of -2*b**7/35 + 17*b**4/24 + 9*b**2. Find the second derivative of t(k) wrt k.
-144*k**2
Let y(q) be the third derivative of 7*q**6/120 + 5*q**3/6 + 5*q**2. What is the first derivative of y(o) wrt o?
21*o**2
Let z(u) = 101*u**5 + 17*u**3 + 5*u**2 - 17. Let w(d) = -34*d**5 - 6*d**3 - 2*d**2 + 6. Let b(l) = -17*w(l) - 6*z(l). Find the third derivative of b(f) wrt f.
-1680*f**2
Let a(q) = 43*q**4 - 5*q**3 + 52*q**2 - 5*q. Let i(w) = 22*w**4 - 3*w**3 + 26*w**2 - 3*w. Let t(z) = -3*a(z) + 5*i(z). Find the third derivative of t(d) wrt d.
-456*d
Suppose 3*j + a - 9 = 0, 0*a - 3*a = 4*j - 17. What is the third derivative of -5*n**3 + 3*n**3 - 5*n**3 + j*n**3 + 4*n**2 wrt n?
-30
Let m(s) = -s**5 - s**3 + s**2 - 1. Let d(z) = -6*z**5 - 3*z**3 - 2*z**2 - 3. Let g(c) = d(c) - 3*m(c). Find the third derivative of g(k) wrt k.
-180*k**2
Let n be 78/(-21) + (-4)/14. Let m(b) = 8*b**2 - 5*b + 1. Let a(w) = 7*w**2 - 4*w + 1. Let j(y) = n*m(y) + 5*a(y). Find the first derivative of j(f) wrt f.
6*f
Let h(w) = w**2 - w. Let u(b) = -5*b**3 - 5*b**2 + 3*b. Let v(d) = -15*h(d) - 3*u(d). Find the second derivative of v(r) wrt r.
90*r
Let u(j) be the first derivative of 4*j**5/5 - 11*j**2/2 + 9. Find the second derivative of u(s) wrt s.
48*s**2
Let r be 2*1*15/10. Find the first derivative of 1 + 7 - 6 + 5 + 5*m**r wrt m.
15*m**2
What is the second derivative of 5*w - 18*w**3 + 22*w**3 - w wrt w?
24*w
Let r(q) = 7*q**5 - 6*q**2 + 5*q - 5. Let d(j) = 3*j**5 - 3*j**2 + 2*j - 2. Let v(h) = 10*d(h) - 4*r(h). Find the third derivative of v(i) wrt i.
120*i**2
Let s be (0 - 2)*30/(-20). What is the second derivative of a + s*a + 5*a**4 + a + a**4 wrt a?
72*a**2
Let l(q) = -3*q**4 + 3*q**3 + 3 + 3*q**4 - 2*q - 4*q**4. Let k(w) = -w**4 + w**3 + 1. Let b(f) = 3*k(f) - l(f). What is the second derivative of b(p) wrt p?
12*p**2
Let m(g) be the second derivative of -23*g**7/42 - 29*g**3/6 + 6*g. Find the second derivative of m(r) wrt r.
-460*r**3
What is the derivative of 35*n**3 + 0 - 5 - 31*n**3 wrt n?
12*n**2
Let a(w) be the second derivative of w**6/10 - 2*w**3/3 + 2*w. What is the second derivative of a(k) wrt k?
36*k**2
What is the third derivative of 8*k**5 - 2*k**5 + 3*k - 3*k + 4*k**2 wrt k?
360*k**2
Let t be 40/(-15)*3/(-2). Differentiate 4*r**t - 35*r + 35*r + 1 wrt r.
16*r**3
Let k(c) = 4*c + 9. Let v be k(-9). Let g be (-75)/v + 8/36. What is the second derivative of 2*u**2 + u + g*u + 0*u wrt u?
4
Find the second derivative of -87*g**2 + 74*g + 46*g**2 - 21*g**2 wrt g.
-124
Let k(b) be the second derivative of 0 + 1/3*b**3 - b**2 - 3*b. Differentiate k(y) wrt y.
2
Let z = -1 + 6. Suppose -s = -z*n - 2*s + 15, -3*s = -2*n + 23. What is the third derivative of -p**6 - n - 2*p**2 + 4 wrt p?
-120*p**3
Let o(p) be the third derivative of 0*p**3 + 0*p + 1/8*p**4 - 2*p**2 + 0 + 1/60*p**5. Find the second derivative of o(a) wrt a.
2
Let n(x) be the first derivative of -3*x**4 + 40 + 5*x**4 - 33 + 2*x**3. What is the third derivative of n(f) wrt f?
48
Let i(a) = -2*a - 9. Suppose -8*r = -3*r + n + 34, -r + 5*n + 14 = 0. Let c be i(r). Find the second derivative of -3*k + 4*k - c*k**2 + k + 0*k**2 wrt k.
-6
Find the first derivative of 15 + 4 - 5 - 7 + 9*m**3 wrt m.
27*m**2
What is the third derivative of -26*z**4 + 26*z**4 + 7*z**6 + z**2 wrt z?
840*z**3
Let p(t) be the first derivative of 0*t**3 + 0*t - 1 + 0*t**4 + 1/5*t**5 - t**2. Find the second derivative of p(o) wrt o.
12*o**2
Suppose 4*t - 1 = -j - 7, -12 = -4*j + 2*t. Find the second derivative of -j*p - 25 - 2*p**2 + 25 wrt p.
-4
Let v(q) = -q**3 - q**2 - q. Let j(h) = -8*h**3 + 5*h**2 - 19*h. Let n(d) = j(d) + 5*v(d). What is the second derivative of n(u) wrt u?
-78*u
Find the third derivative of 0*y**3 - 5*y**2 + 17*y**3 - 2*y**5 - 10*y**2 - 3*y**3 wrt y.
-120*y**2 + 84
Let a = 1 + 2. Find the first derivative of -a + 3*t**2 - 3 + 3 wrt t.
6*t
What is the second derivative of 33*d**2 - 6*d**2 + 4*d + 5*d + 2*d**2 wrt d?
58
Let s(t) be the third derivative of -11*t**9/504 + 29*t**5/60 + 9*t**2. Find the third derivative of s(l) wrt l.
-1320*l**3
Suppose -3*v = 2*v - 25. Suppose 6*m - 9 = -4*f + 5*m, m - v = 0. What is the third derivative of g**6 - 2*g**2 - f + 1 wrt g?
120*g**3
Let y be (2 - 3)/(4/(-24)). Find the third derivative of x**6 - 2*x**6 - y*x**2 + 9*x**6 wrt x.
960*x**3
Let q(a) be the first derivative of -5*a**6/6 + 16*a**3/3 - 7. What is the third derivative of q(w) wrt w?
-300*w**2
Let r = -1 - -3. Suppose -4*t - 4 = 5*p, 5*p = -2*t - 10 - 2. Find the third derivative of 3*a**r - 4*a**4 + a**t + 0*a**2 wrt a.
-72*a
Let c = -5 + 7. Let b = 4 - c. Find the first derivative of -b*v**4 - 3*v**3 + 6 - 2 + 3*v**3 wrt v.
-8*v**3
Let u(f) = 2*f. Let y(p) be the first derivative of -p**2 - p - 1. Let d(t) = 3*u(t) + 2*y(t). Differentiate d(x) with respect to x.
2
Let f(b) = 62*b + 78. Let v(a) = -25*a - 31. Let l(u) = -5*f(u) - 12*v(u). Differentiate l(x) wrt x.
-10
Suppose 0 = g + 3*g - 8. Let a(l) be the second derivative of 0*l**g + 1/10*l**5 + 0 + 1/6*l**3 + 2*l + 0*l**4. What is the second derivative of a(t) wrt t?
12*t
Let a(k) be the first derivative of 7*k**5/5 - 2*k - 8. Find the first derivative of a(i) wrt i.
28*i**3
Let x(b) be the second derivative of 2*b**4/3 - 17*b**2/2 - 22*b. Find the first derivative of x(n) wrt n.
16*n
Let s(m) be the third derivative of m**10/30240 - m**6/80 + m**5/60 - m**2. Let b(w) be the third derivative of s(w). Differentiate b(r) with respect to r.
20*r**3
What is the second derivative of -25*i + 26*i**2 - 7*i**5 - 26*i**2 + 3*i wrt i?
-140*i**3
What is the second derivative of -2*x + 4*x**3 - 8*x**3 + 0*x wrt x?
-24*x
Find the third derivative of -5*d**6 + 17*d**6 + 16*d**2 + 16*d**6 + 9*d**2 wrt d.
3360*d**3
Find the third derivative of -13*q**2 + 8*q**2 - 21*q**6 - 18*q**2 wrt q.
-2520*q**3
Let r(z) be the second derivative of 17*z**3/6 - z**2/2 + 6*z. What is the derivative of r(d) wrt d?
17
Suppose -4 + 2 = -l. Find the third derivative of -4*y**2 + 4*y**2 - l*y**6 - 5*y**2 wrt y.
-240*y**3
Let b(y) be the first derivative of 0*y**4 - 1 + 0*y + y**3 + 0*y**2 - 1/6*y**6 + 0*y**5. What is the third derivative of b(v) wrt v?
-60*v**2
Let h(q) be the first derivative of -7*q**3/3 - 6*q**2 + 8. What is the second derivative of h(g) wrt g?
-14
Let j(q) be the third derivative of q**7/14 - 2*q**5/5 + 9*q**2. What is the third derivative of j(x) wrt x?
360*x
Let v = 9 - 5. Let x = 13 - 11. What is the derivative of -x*r**3 - v*r + 4*r - 1 + 5*r**3 wrt r?
9*r**2
Let h be (-2 - -1) + 2 + -1. Differentiate -71*f**2 + 3 + 68*f**2 + h wrt f.
-6*f
What is the third derivative of 25*b**2 + 5*b**3 - 18*b**2 + 10*b**3 wrt b?
90
Let b be (-92)/(-28) - (-4)/(-14). Let n be 2/4*-2 + b. Find the third derivative of 0*j**2 - 3*j**5 - j**n + 0*j**2 + 0*j**2 wrt j.
-180*j**2
Suppose 0 = -l + 3 - 1. Differentiate -3 + 4 - l*m + 2*m + 2*m**4 wrt m.
8*m**3
Suppose 4*t = 3*t. Let c(g) be the second derivative of 0*g**3 + g + 1/2*g**2 + 1/10*g**5 + t*g**4 + 0. What is the first derivative of c(k) wrt k?
6*k**2
Differentiate 5*n**4 - 4*n**4 + 3*n**4 - 5*n**4 - 2 wrt n.
-4*n**3
Let d(b) = -31*b**3 - 16*b**2. Let q(h) = 62*h**3 + 32*h**2. Let z(k) = -5*d(k) - 3*q(k). What is the third derivative of z(w) wrt w?
-186
Let l(t) be the first derivative of -t**7/7 - t**4/2 + 9*t + 11. Let w(g) be the first derivative of l(g). What is the third derivative of w(r) wrt r?
-360*r**2
Suppose u = -u + 4. Let z = -2 + u. What is the second derivative of z*n + n**5 + 0*n + 3*n wrt n?
20*n**3
Su