b. Differentiate z(q) with respect to q.
-12*q**2
Let s(g) be the first derivative of -g**4/2 - 16*g**3/3 - 7. Find the third derivative of s(r) wrt r.
-12
Find the second derivative of -54*h + 0*h**2 + 35 - 35 - 3*h**5 + 2*h**2 wrt h.
-60*h**3 + 4
Let l(a) = -12*a**3 + 8*a**2 - 3. Let c(x) = -x**2 + 1. Let h(r) = 3*c(r) + l(r). Find the third derivative of h(o) wrt o.
-72
Let h(q) = 29*q**4 - 4*q**2 - 37*q - 4. Let g(s) = 28*s**4 - 3*s**2 - 36*s - 3. Let n(i) = -4*g(i) + 3*h(i). What is the second derivative of n(a) wrt a?
-300*a**2
Let i(v) be the first derivative of v**2/2 + 2. Let a(z) = 9*z + 1. Let r(t) = a(t) - 4*i(t). Find the first derivative of r(o) wrt o.
5
Suppose d = 2*d. Find the third derivative of 3*a**5 - 6*a**5 - 5*a**2 + d*a**5 + 0*a**5 wrt a.
-180*a**2
Let o(s) = s**4 - 5*s**3 + 21*s**2 - 5. Let q(h) = -h**4 + 2*h**3 - 11*h**2 + 2. Let t(w) = 2*o(w) + 5*q(w). Find the third derivative of t(v) wrt v.
-72*v
Suppose 2*u + 3 - 11 = -2*t, -2*u = 4*t - 12. Let x = 24 - 22. Differentiate -2 - x + 1 - m + u wrt m.
-1
Let d(y) = -29*y**2 + 17*y - 5. Let n(v) = -15*v**2 + 8*v - 2. Let o(a) = -2*d(a) + 5*n(a). Find the second derivative of o(f) wrt f.
-34
Let s be -1 - -49 - 3*1. What is the first derivative of 6*w**4 - s + 3*w**3 - 3*w**3 + 44 wrt w?
24*w**3
Let w(j) be the first derivative of -2*j**3 + 6*j**2 - 6. Find the second derivative of w(g) wrt g.
-12
Let o(n) be the first derivative of -14*n**3 + 5*n**2/2 + 34. Find the second derivative of o(b) wrt b.
-84
What is the second derivative of 4*z**2 + 10*z - 3*z + 0*z + 5*z wrt z?
8
Let h = -5 + 10. Find the second derivative of 127 - 127 + h*b - 6*b**4 wrt b.
-72*b**2
Find the second derivative of -f**5 + 2*f**5 - 4*f + 3*f**5 wrt f.
80*f**3
Let t(g) = g**2 + 6*g + 6. Let q be t(-5). What is the first derivative of -3 + 2*v**4 - 2 - q wrt v?
8*v**3
Differentiate -313*a - 2*a**2 + 323*a + 3*a**2 - 55 with respect to a.
2*a + 10
Find the third derivative of -3*k**2 + 2*k**2 - 8*k**6 + 3*k**2 + 0*k**2 wrt k.
-960*k**3
Let t(m) be the first derivative of -m**7/280 - m**6/180 + m**3/3 + 2. Let w(y) be the third derivative of t(y). Find the third derivative of w(g) wrt g.
-18
Let s(g) be the second derivative of -g**7/140 - g**4/24 + g**3/2 + 2*g. Let t(l) be the second derivative of s(l). What is the derivative of t(u) wrt u?
-18*u**2
Let s be 20/8 - 1/(-2). Differentiate 4*j**4 + j**4 - s*j**4 - 6*j**4 + 1 with respect to j.
-16*j**3
Let t(q) = 11*q - 8. Let a(l) = -l + 1. Let v(k) = -28*a(k) - 4*t(k). Find the first derivative of v(s) wrt s.
-16
Let k(y) be the third derivative of 13*y**8/336 + y**5/30 - 27*y**2. Find the third derivative of k(n) wrt n.
780*n**2
Let d(w) be the second derivative of -w**5/2 - 2*w**4/3 - 8*w. What is the third derivative of d(r) wrt r?
-60
Let b(r) = -r**3 + 5*r**2 + 2*r - 6. Let y be b(5). What is the first derivative of 6*f**y - 3 - 3 + 6 + 2 wrt f?
24*f**3
Suppose 3*a + q = 5, 4*a = 3*q + 2*q + 13. Find the first derivative of 4*p**a + 3*p**2 + 2 - 4*p**2 + 2 wrt p.
6*p
Suppose -p = 2*p - 6. What is the derivative of -p - b + 0 + b - b**3 wrt b?
-3*b**2
Let k(s) be the third derivative of 0*s**7 + 0*s**6 + 1/168*s**8 - s**2 + 0*s + 0 + 1/20*s**5 + 0*s**4 + 0*s**3. Find the third derivative of k(g) wrt g.
120*g**2
Let r(s) be the first derivative of 5*s**4/4 + 2*s - 4. Differentiate r(z) with respect to z.
15*z**2
What is the third derivative of 2*k**2 - 7*k**6 - 5*k**6 + 10*k**6 wrt k?
-240*k**3
Let u(q) = -2*q**2 - 19. Let o(c) = -1. Let l(m) = 4*o(m) - u(m). Differentiate l(i) wrt i.
4*i
Suppose -2*m = 2*m - 28. Find the first derivative of -2*s**3 - m - 3*s**3 + 3*s**3 + 4 wrt s.
-6*s**2
Find the third derivative of y**5 + 2842*y**2 - 2819*y**2 - 3*y**5 - 6*y**5 wrt y.
-480*y**2
Let t(y) be the second derivative of 0*y**3 + 0*y**4 + 0*y**5 - y**2 + 0 - 1/30*y**6 + 3*y. Differentiate t(s) wrt s.
-4*s**3
Let b be -2 + 2 + 1 + 0. What is the derivative of -2*m - 5 + b + 2 + 5*m wrt m?
3
Let c(s) be the first derivative of 13*s**4/4 - 5*s**3/3 - 11. Find the third derivative of c(u) wrt u.
78
Let r(l) = -l**2 - 10*l + 4. Suppose 4*d - 5*i = -40, 5*d + 40 = d - 5*i. Let u be r(d). Differentiate -7 - f**4 + 4*f - 4*f + u wrt f.
-4*f**3
Let k(b) be the second derivative of -2*b**7/105 - b**4/3 - 2*b**2 + b. Let v(z) be the first derivative of k(z). What is the second derivative of v(w) wrt w?
-48*w**2
Let a(p) = 38*p**2 - 22*p + 10. Let j(z) = 39*z**2 - 23*z + 8. Let y(o) = -4*a(o) + 5*j(o). What is the second derivative of y(l) wrt l?
86
Let c(s) = -s**2. Let d(i) = -4*i**2 - 14. Let h(z) = -5*c(z) + d(z). Differentiate h(j) with respect to j.
2*j
Let q(j) = j - 1. Let z(t) = 4*t**3 + 2*t - 4. Let h(g) = -2*q(g) + z(g). Differentiate h(f) wrt f.
12*f**2
Let b be 9 - (-4)/(-4 + 2). Let q(g) = g - 3. Let s be q(b). What is the second derivative of -4*w + 0*w**s - w**4 + 2*w**4 + 2*w wrt w?
12*w**2
What is the first derivative of 44 - 31 + 50 + 53*a**4 - 13*a**4 wrt a?
160*a**3
Let m(x) be the third derivative of 7*x**5/60 + 7*x**4/24 - 11*x**2. Find the second derivative of m(d) wrt d.
14
Let f = 7 + -4. Let w be (0 - 0) + 4 + -1. Find the second derivative of -f*u**5 + 5*u + u - w*u wrt u.
-60*u**3
Let n(w) be the third derivative of -7*w**6/120 + 3*w**5/20 + 5*w**2. Find the third derivative of n(p) wrt p.
-42
Let c(g) = -13*g**2 - 5*g - 35. Let s(h) = 6*h**2 + 2*h + 18. Let f(n) = 2*c(n) + 5*s(n). What is the first derivative of f(i) wrt i?
8*i
Let r be 4 - (4/(-4))/1. Find the first derivative of r + 4 - 2*x**3 - 2*x**3 wrt x.
-12*x**2
Let c(q) = 5*q - 1. Let m be c(2). Let z be 12/m*3/2. Find the third derivative of 2*n**4 - n**2 - z*n**4 + n**4 wrt n.
24*n
Let z(n) = 2*n**2 + 4*n + 3. Suppose -v - 11 = -3*v + 3*d, -2*d - 10 = 0. Let h be z(v). Find the first derivative of -h*y - y + 0 - 2 wrt y.
-4
Let n(o) = o**2 + 3*o + 6. Let g(y) = 2*y**2 + 4*y + 7. Let f(t) = 6*g(t) - 7*n(t). What is the second derivative of f(d) wrt d?
10
Let i(y) = y**2 + 5*y + 4. Let p be i(-5). What is the second derivative of 5*b - p*b + 0*b - 2*b**3 wrt b?
-12*b
What is the derivative of -5*m - 5*m - 2 - 11 - 23*m wrt m?
-33
Let t(b) be the third derivative of 11*b**4/12 + 13*b**3/3 + 39*b**2. Differentiate t(z) with respect to z.
22
Let l(a) = a**3 + a**2. Let s(q) = 22*q**3 + 5*q**2 + 24. Let t(n) = 5*l(n) - s(n). Differentiate t(r) wrt r.
-51*r**2
Let x(v) be the third derivative of 0 + 0*v**4 + 6*v**2 + 0*v - 1/15*v**5 + 1/3*v**3. Differentiate x(w) wrt w.
-8*w
Let q(d) be the first derivative of 16*d**3/3 - 13*d - 12. Find the first derivative of q(o) wrt o.
32*o
Let k be (2 - 2) + 3 + -1. Find the second derivative of 0*n**2 + n + 4*n**k - 6*n**2 + 5*n wrt n.
-4
Let w(t) = 9*t**3 + 15*t**2 - 7*t - 29. Let z(r) = 4*r**3 + 8*r**2 - 4*r - 15. Let q(s) = -6*w(s) + 11*z(s). Find the second derivative of q(v) wrt v.
-60*v - 4
Find the third derivative of -10*n**2 + 16*n**2 + n**6 + 3*n**6 + 3*n**6 wrt n.
840*n**3
Let b = -4 - -9. Suppose 0*p - 25 = -b*p. Find the second derivative of -q + 3*q**4 + q**p - 3*q**4 + q**5 wrt q.
40*q**3
Find the second derivative of 2*x - x**3 - x**3 - 8*x**5 + 2*x**3 wrt x.
-160*x**3
Let m(t) be the first derivative of -9*t**4/2 - 17*t**2/2 - 2. What is the second derivative of m(y) wrt y?
-108*y
What is the second derivative of 14*j + 3*j + 28 + 8*j**4 - 28 wrt j?
96*j**2
Suppose -5*m + 12 + 2 = -2*p, 4*m - 10 = p. Find the third derivative of 3*z - 6*z + 3*z - z**m - 2*z**3 wrt z.
-12
Let l be 3 + 0 - 4 - -6. What is the second derivative of 2*b - 3*b**5 - 2*b**3 + 2*b**3 + 5*b**l wrt b?
40*b**3
Let i(g) be the third derivative of 1/105*g**7 + 0*g**3 + 0*g**6 - 1/20*g**5 + g**2 + 0*g**4 + 0*g + 0. What is the third derivative of i(p) wrt p?
48*p
Let x(j) = -j**2 - 7*j - 6. Let o be x(-6). Suppose 7*a - 4*a - 18 = o. Differentiate -3 + 3*u + a*u - u - 5*u with respect to u.
3
Let x(m) be the first derivative of -m**7/140 - m**4/24 - m**3/3 - 5. Let z(j) be the third derivative of x(j). Differentiate z(u) with respect to u.
-18*u**2
Suppose 5*b = -3*l + 17 - 6, -5*b + 5*l + 35 = 0. What is the third derivative of -3*i**5 + 0*i + 0*i - b*i**2 + 2*i**5 wrt i?
-60*i**2
Let t = 66 - 47. Suppose 5*o + 9 + 4 = r, -5*r + 2*o = -t. Differe