q wrt q?
-24*q**2
Let y(u) = -7*u**3 + 49*u**2 - 6*u - 156. Let b(k) = k**3 - k**2 + k + 2. Let v(n) = 6*b(n) + y(n). What is the first derivative of v(g) wrt g?
-3*g**2 + 86*g
Let c = 2 + 1. What is the derivative of 1 + 3 - o - o + c wrt o?
-2
What is the derivative of 47*b + 65*b - 47*b + 34*b + 315 + 19*b wrt b?
118
Let w(i) = -i**3 + 3*i**2 + 7*i + 6. Let z be w(-3). Differentiate -z*v**4 + 22 - 11 + 25 wrt v.
-156*v**3
Let o(c) = 2*c - 7. Let h(z) = 4*z - 25. Let m be h(8). Let j be o(m). What is the third derivative of -j*q**2 + 4*q**2 + 6*q**3 + 6*q**2 wrt q?
36
Let m be ((-9)/(-27))/(2/12). What is the first derivative of -7 - 3*u + 6*u + 3*u + m wrt u?
6
Let v(u) be the third derivative of -235*u**8/168 - 97*u**5/30 - 3*u**2 - 20*u. What is the third derivative of v(l) wrt l?
-28200*l**2
Let a = -38 + 22. Let w = -5 - a. Differentiate -10*z**4 - 23 + 2 + w wrt z.
-40*z**3
Suppose 63 = w + 6*w. Find the first derivative of 2*a + w*a + 19 - 17 wrt a.
11
Let k(x) be the third derivative of -287*x**4/24 - 743*x**3/6 - 37*x**2 - 1. Differentiate k(i) with respect to i.
-287
Let m = -313 + 313. Let z(l) be the second derivative of -1/10*l**6 + m - 9*l + 0*l**2 + 0*l**5 + 2/3*l**4 + 0*l**3. What is the third derivative of z(x) wrt x?
-72*x
Let s(w) = -w**2 - 4*w + 1. Let a be s(-3). Let n = a + 2. What is the third derivative of -n*m**4 + 4*m**2 - m**5 + 6*m**4 wrt m?
-60*m**2
Let i(x) = -10*x**3 - 3*x**2 - 8*x - 41. Let h(b) = -2*b**3 + b + 3. Let l(y) = 6*h(y) + i(y). What is the second derivative of l(a) wrt a?
-132*a - 6
Let f(t) be the third derivative of -32*t**7/105 - 11*t**4/6 - 119*t**2. Find the second derivative of f(i) wrt i.
-768*i**2
Let q(h) = -h**2 + 10. Suppose -4*w - 4 + 68 = 0. Let y(u) = -w - 2*u**2 - 3 + 3*u**2. Let o(c) = -5*q(c) - 3*y(c). What is the derivative of o(z) wrt z?
4*z
Find the third derivative of 2*m**4 + 39*m**2 + 54*m**3 - 6*m**4 + 7*m**4 - 3*m**3 + 306*m**2 wrt m.
72*m + 306
What is the first derivative of -3*p - 13*p**2 + 6*p - 102 - 5*p - 39*p**2 + 6*p**2 wrt p?
-92*p - 2
Let s(p) = -325*p**4 - 6*p**3 + 223*p. Let f(w) = -327*w**4 - 5*w**3 + 224*w. Let r(m) = 6*f(m) - 5*s(m). What is the second derivative of r(v) wrt v?
-4044*v**2
Let v be (7 - 3)/((-1)/(-1)). What is the second derivative of -14*z**4 - v*z + z + 0*z - 4*z wrt z?
-168*z**2
Let a be 2/(-5) - 611/(-65). Differentiate -34 + 10 - a*p**3 - p**3 - 7*p**3 with respect to p.
-51*p**2
What is the second derivative of -67*v**4 - 268*v**4 - 75*v - 250*v wrt v?
-4020*v**2
Let h(z) be the second derivative of z + 1/2*z**4 + 0 + 0*z**3 - 15/2*z**2. Differentiate h(n) with respect to n.
12*n
Suppose 2*c - 6*z + 3*z = -6, -2*c - 5*z = -10. Suppose -4*h + c = -12. What is the derivative of -4 - 4*m**3 - 9*m**3 + 10*m**3 - 7*m**h wrt m?
-30*m**2
Let c(f) be the second derivative of 0 - 1/4*f**4 + 4*f + 0*f**2 - 1/2*f**3. Find the second derivative of c(s) wrt s.
-6
Let v(k) = -k**3 + k**2 + k + 1. Let z(x) = 2136*x + 2*x**2 - 47 + 10 - 32*x**3 - 2134*x. Let r(n) = 2*v(n) - z(n). Differentiate r(q) wrt q.
90*q**2
What is the second derivative of -11 - 9*w - 7*w**2 + 74*w**3 + 6*w**2 - 28*w**3 - 7 wrt w?
276*w - 2
Find the third derivative of -172*l**4 - 47*l**2 + 20*l**4 - 9 + 6 + 3 wrt l.
-3648*l
Let m(k) be the third derivative of 0 + 0*k + 0*k**4 - 2/3*k**3 + 10*k**2 + 0*k**5 - 1/120*k**6. What is the first derivative of m(p) wrt p?
-3*p**2
Let v(g) be the first derivative of 18 + 10*g**2 - 7/6*g**6 + 0*g**4 + 0*g + 0*g**5 + 0*g**3. Find the second derivative of v(p) wrt p.
-140*p**3
Let c = 16 + -10. Find the third derivative of -4*h**4 + 7*h**4 + c*h**2 - h**4 wrt h.
48*h
Let u(y) = y**2. Let k(q) = 33*q**2 + 41 - 57 + 45. Let r(d) = k(d) - u(d). What is the first derivative of r(o) wrt o?
64*o
What is the third derivative of 121*d**5 - 1911*d**4 + 424*d**2 + 1911*d**4 wrt d?
7260*d**2
Differentiate -3*p**3 - 8*p**3 + 0 - 94 + 8 + p wrt p.
-33*p**2 + 1
Let j(y) be the third derivative of -23*y**9/504 - 4*y**5/15 - y**4/12 - 11*y**2. Find the third derivative of j(c) wrt c.
-2760*c**3
Let j(x) be the second derivative of -x**9/21 + x**5/30 + 5*x**2/2 - 16*x. Let k(n) be the first derivative of j(n). Find the third derivative of k(z) wrt z.
-2880*z**3
Find the third derivative of 53*d**3 + d**5 - 14 - 55*d**3 + 5*d**5 + 74 - 2*d**2 wrt d.
360*d**2 - 12
Let f(p) be the first derivative of 24*p**3 - 63*p**2/2 - 162. Find the second derivative of f(i) wrt i.
144
Let c(g) = g**2 - 2*g. Let d(l) = 29*l**2 + 22*l. Let a(f) = -4*c(f) + d(f). Find the second derivative of a(y) wrt y.
50
Suppose -4*z = 5*i + 3, 2*z - i + 4*i + 3 = 0. Find the third derivative of 14*l**2 + 14*l**4 - z*l**2 + 2*l**3 - 2*l**3 wrt l.
336*l
Let h(d) be the third derivative of -d**7/42 - d**6/24 + d**5/60 + 85*d**4/12 + 24*d**2. What is the third derivative of h(t) wrt t?
-120*t - 30
Suppose -4*t - 27 + 15 = 0. Let n(c) = -2*c**2 + c - 35. Let q(d) = -d**2 + 2*d - 34. Let f(b) = t*n(b) + 2*q(b). Differentiate f(r) wrt r.
8*r + 1
Let p(y) be the second derivative of y**6/20 + y**4/8 - 2*y**3/3 + 21*y. Let t(j) be the second derivative of p(j). Differentiate t(m) wrt m.
36*m
Let w be (-3 - (8 + -9)) + 27/12. Let a(y) be the second derivative of 0 + w*y**5 - 11/2*y**2 + 12*y + 0*y**3 + 0*y**4. Find the first derivative of a(c) wrt c.
15*c**2
Let y(m) be the first derivative of -m**5/10 - m**3 - m**2/2 - 8. Let d(p) be the second derivative of y(p). Find the first derivative of d(c) wrt c.
-12*c
Let n(w) be the first derivative of 3*w**5/20 - w**4/6 + 14*w**3/3 + 18. Let j(g) be the third derivative of n(g). Find the first derivative of j(k) wrt k.
18
What is the second derivative of 13*i + 105*i**2 - 84*i**2 + 200*i**2 + i + 56*i**2 wrt i?
554
Let u(w) = -8*w**3 - 10*w**2 - 8*w - 8. Let i be u(-4). Find the third derivative of -720*p**5 - p**4 + i*p**5 - 35*p**2 + 374*p**5 wrt p.
1800*p**2 - 24*p
What is the third derivative of 101*q**2 + 12*q**2 + 28*q**5 + 61*q**2 + 2*q**6 + 8*q**6 - 11*q**6 wrt q?
-120*q**3 + 1680*q**2
Find the third derivative of -68*l**3 + 1 - 1 - 27*l**2 - l**2 + 6*l**2 wrt l.
-408
What is the first derivative of 14 - 6*f**3 + 14*f**3 + 12*f**3 + 6*f**3 wrt f?
78*f**2
Let t = 155 - 152. Suppose 3*q - 4*r = 0, 0 = 5*q - 4*r - 8 - 0. What is the first derivative of 0 - 13 - 14*f**3 + q*f**t wrt f?
-30*f**2
Let l(u) be the first derivative of 14/5*u**5 - 10 + 0*u + 0*u**4 + 0*u**2 + 5/3*u**3. What is the third derivative of l(j) wrt j?
336*j
What is the third derivative of -183*k + k**4 + k**2 - k**4 + 108*k**5 + 120*k**5 - 86*k wrt k?
13680*k**2
Let q(k) = k**2. Let y(a) = -8*a**3 - 68*a**2. Let i(j) = 2*q(j) - y(j). What is the third derivative of i(b) wrt b?
48
Let p(w) = w**3 - w**2 - 6*w - 6. Let d(z) = 2*z**4 + 2*z**3 - 2*z**2 - 11*z - 13. Let f(y) = -6*d(y) + 11*p(y). What is the third derivative of f(x) wrt x?
-288*x - 6
Suppose 0*a = -6*a + 84. Let g be (-6)/(-4) - a/(-4). What is the first derivative of -3 - g*w - w - 2*w + 1 wrt w?
-8
Suppose -3*m = 4*d - 0*d + 46, m = 2*d - 22. Let g = -11 - m. What is the first derivative of -g - 2*s**2 - 2 - 3*s**2 wrt s?
-10*s
Let m be 6/(-45) - 94/(-30). Let r = 13 - m. What is the first derivative of 3 + 1 - 8*f**3 - r wrt f?
-24*f**2
Let x(l) be the first derivative of -3*l**3 + 5*l**2 + 392*l - 77. Find the first derivative of x(n) wrt n.
-18*n + 10
Let z be (-1 - (-14 - -3)) + -5. What is the derivative of -z*j - 3*j - 34 + 11 - 30*j wrt j?
-38
Let p(o) be the first derivative of -3*o**4 + 5*o**3 + 3*o**2 - 6*o - 17. Let h(t) = t - 1. Let v(y) = -6*h(y) + p(y). Find the third derivative of v(r) wrt r.
-72
Let b(a) = a. Let z(q) = -q**2 - 13*q + 1. Let g(v) = -4*b(v) - z(v). Let s be g(-10). Find the third derivative of s*w**3 - 3*w**2 + 18*w**3 - 29*w**3 wrt w.
-12
Let c(n) be the second derivative of 59*n**3 + 405*n**2/2 - 582*n. Differentiate c(d) wrt d.
354
Let d = -23 + 34. Let c(l) = -l**3 + 11*l**2 - l + 14. Let n be c(d). Find the third derivative of o**n + 5*o**2 - 4*o**3 + 0*o**3 wrt o.
-18
What is the third derivative of -2*w**2 - 17*w**3 + 13*w + 16*w**2 - 12*w - 40*w**3 wrt w?
-342
Let p(w) be the third derivative of -115*w**8/336 - 5*w**4/3 - 4*w**2 + 64. What is the second derivative of p(r) w