8*t
Find the third derivative of -2*k - 5*k + 4*k**2 + 4*k**4 + 7*k wrt k.
96*k
Let h(k) be the first derivative of -4*k**7 - 25*k**3/3 - 38. What is the third derivative of h(v) wrt v?
-3360*v**3
Find the third derivative of -5*o**3 - 563*o**4 - 27*o**2 + 285*o**4 + 277*o**4 wrt o.
-24*o - 30
Let o(t) be the third derivative of 0 - 1/60*t**5 + 0*t + 0*t**3 + 4*t**2 - 1/6*t**4. What is the second derivative of o(b) wrt b?
-2
Let t(a) be the third derivative of 1/105*a**7 + 0*a - a**2 - 1/3*a**3 + 0*a**6 + 0*a**4 + 0 + 0*a**5. What is the derivative of t(i) wrt i?
8*i**3
Let m(u) be the first derivative of 0*u - 7/4*u**4 + 0*u**3 + 1 + 2*u**2. Find the second derivative of m(w) wrt w.
-42*w
Find the third derivative of 3*h**2 + 0*h**2 + 4*h**2 + 3*h**3 - h**2 wrt h.
18
Let p(l) = -5*l**3 + 4*l. Let a(d) = 0*d - d - 4*d**3 + 4*d + 0*d. Let g(v) = -3*a(v) + 2*p(v). Find the second derivative of g(z) wrt z.
12*z
Let y(f) = 16*f**3 + 2*f**2 - 35*f - 2. Let i(t) = -t**2 - t + 1. Let a(s) = 2*i(s) + y(s). Find the second derivative of a(j) wrt j.
96*j
Let c(r) be the first derivative of -2*r**5/5 + 3*r**3 + 5. Find the third derivative of c(h) wrt h.
-48*h
Let y(m) = -7*m**4 + m**3 - m**2 - 3*m. Let w(d) = d**4 - d**3 + d**2 - d. Let o(q) = -w(q) - y(q). What is the second derivative of o(b) wrt b?
72*b**2
Let h(m) be the first derivative of 21*m**4/2 - 9*m**2 - 64. Find the second derivative of h(b) wrt b.
252*b
Let x = 8 + -6. What is the third derivative of -3*u**4 + u**x + 5*u**4 + 2*u**2 + 0*u**4 wrt u?
48*u
Let k(r) be the third derivative of r**5/6 + 4*r**3/3 + 6*r**2. What is the derivative of k(h) wrt h?
20*h
Let k be (-987)/28*16/(-3). What is the derivative of -182*m**2 + k*m**2 - 3 + 1 wrt m?
12*m
Let g(z) = -z**2 - 9*z + 2. Let m be g(-9). Let k be 5/m - 2/(-4). What is the first derivative of k*y + 0 + 1 - 5*y wrt y?
-2
Let n(t) = 2*t**2. Let a(x) = 5*x**2 - x. Let g = 18 + -7. Let w(h) = g*n(h) - 4*a(h). What is the second derivative of w(b) wrt b?
4
Let v(w) = -4 + 6 - 3*w - 3. Let d be v(-1). What is the second derivative of -d*r - 8*r**2 + r**5 + 8*r**2 wrt r?
20*r**3
Let a(q) be the second derivative of 37*q**4/12 + 3*q**2 + 6*q. Differentiate a(g) with respect to g.
74*g
Let v(d) be the second derivative of 1/6*d**3 + 0*d**2 + 0 - 1/30*d**6 + 0*d**5 + 5*d + 0*d**4. Find the second derivative of v(r) wrt r.
-12*r**2
Suppose 0 = -3*a + 8*a. What is the second derivative of -3*w**2 + a*w**2 + 5*w**2 + 6*w wrt w?
4
Suppose -5*k = -2*a - 7 - 9, 0 = 5*k + 2*a - 24. Find the third derivative of -2*w**5 - 2*w**5 + 4*w**2 - k*w**2 + 4*w**2 wrt w.
-240*w**2
Suppose 0 = -3*y + 7*y - 12. Suppose y*o = 4*m + o - 6, -5*o + 5 = 0. What is the third derivative of 2*t**2 + t**3 - 4*t**2 + 4*t**m - 4*t**2 wrt t?
6
Let m(o) = 2*o**2 + 0*o**2 - 2*o**2 - 2*o**2 - 8. Let q(u) = 2*u**2 + 9. Let w(i) = 6*m(i) + 5*q(i). What is the derivative of w(s) wrt s?
-4*s
Suppose -3*w - 176 = -14. Let j be 6/8 - w/24. What is the third derivative of -3*z**4 + j*z**4 + 3*z**5 + 4*z**2 - 4*z**5 wrt z?
-60*z**2
Let f(o) be the first derivative of -o**9/126 + o**5/30 - 2*o**2 - 3. Let s(r) be the second derivative of f(r). Find the third derivative of s(h) wrt h.
-480*h**3
Let u = 8 - 5. What is the second derivative of -g + u*g**4 - 2*g**4 + 5*g**4 - g**4 wrt g?
60*g**2
Let k(x) = -1. Let s(j) = 2*j**2 - 7*j. Let i(v) = v + 1. Let a(p) = 14*i(p) + 2*s(p). Let n(y) = -a(y) - 6*k(y). Differentiate n(c) wrt c.
-8*c
Let u(m) be the first derivative of 9*m**7/7 + 7*m**3/3 + 3. Find the third derivative of u(x) wrt x.
1080*x**3
Let i = 12 + -13. Let z(r) = -r**4 - r**3. Let t(m) = 2*m**3 + 4*m. Let n(j) = i*t(j) - 2*z(j). Find the second derivative of n(g) wrt g.
24*g**2
Let g(x) = -x + 16. Let s be g(12). What is the second derivative of 0*w - 3*w**2 + s*w**2 - 5*w**2 - 5*w wrt w?
-8
What is the third derivative of 3*z**4 - 36*z**2 + 42*z**2 + 2*z**4 wrt z?
120*z
Let m(g) = 9*g - 41. Let o(v) = -2*v + 10. Let n(d) = 6*m(d) + 26*o(d). What is the derivative of n(j) wrt j?
2
Let q(p) be the first derivative of -2*p**5/5 + 2*p**3 + 6. What is the third derivative of q(n) wrt n?
-48*n
Let w be (1 - 0)/((-4)/(-20)). Suppose -w*l + 4 = -21. What is the second derivative of -o - 5*o**2 - 3*o**5 + l*o**2 wrt o?
-60*o**3
What is the second derivative of 39*w**3 - 48*w**3 - 2*w + 2 - 39*w**3 wrt w?
-288*w
Let i = 4 + -2. Find the second derivative of -6*t - 6*t**5 - 5*t**2 + t**2 + 4*t**i wrt t.
-120*t**3
Let p = 13 - 8. Suppose 2*i - 8 = -n + 2*n, -1 = 3*i + p*n. What is the second derivative of -i*x**5 + x + 3*x**2 - 3*x**2 wrt x?
-60*x**3
What is the first derivative of -5 + 0 + 2*y**2 + 6 wrt y?
4*y
Let d(r) = r**3 + 8*r**2 + 9*r + 3. Let i be d(-6). Let k be (-6)/i + (-23)/(-7). What is the second derivative of z**3 - 4*z + 0*z - 2*z**k + 2*z wrt z?
-6*z
Let d(b) = -9*b**4 - 5*b**2 + 6*b - 6. Let y(i) = 8*i**4 + 4*i**2 - 5*i + 5. Let h(k) = -5*d(k) - 6*y(k). What is the third derivative of h(p) wrt p?
-72*p
Let r(h) be the first derivative of 11*h**6/3 - 2*h**2 - 28. Find the second derivative of r(c) wrt c.
440*c**3
Let y be 158/(-18) - (-2)/(-9). Let l be (6/(-9))/(6/y). Differentiate -5*z**3 + l - 2 + 3*z**3 with respect to z.
-6*z**2
Let a be (-5)/(0 + 3 + -4). Suppose -a*p + 6 = -3*p. Find the third derivative of t**4 + 3*t**5 + 0*t**4 + p*t**2 - t**4 wrt t.
180*t**2
Suppose 3*d + t + 1 = 0, 0*d + 10 = -4*d + 3*t. Let x = -1 - d. Differentiate -5 - 3*h**2 + x*h**2 + 4 with respect to h.
-6*h
Let s(d) be the third derivative of 11*d**5/60 + 5*d**4/24 - 3*d**2. What is the second derivative of s(m) wrt m?
22
Let w = -8 + 10. What is the second derivative of -5*b**3 + 0*b**3 - b**3 - 5*b + w*b**3 wrt b?
-24*b
Let w(j) = 40*j - 65. Let u(s) = 5*s - 8. Let i(v) = -25*u(v) + 3*w(v). Find the first derivative of i(a) wrt a.
-5
Suppose -4*l - l + 23 = z, -4*z - l + 16 = 0. Let a(r) = 5*r - 2. Let m be a(1). What is the third derivative of 4 - m*x**2 - 4 - 2*x**z wrt x?
-12
What is the third derivative of -1602*l - 4*l**3 + 1602*l - 12*l**2 wrt l?
-24
Let j(f) be the third derivative of f**6/12 + f**5/20 + 6*f**2. What is the third derivative of j(b) wrt b?
60
Let h(l) = -11*l**2 - 3. Let p(i) = 22*i**2 + 7. Let z(u) = -7*h(u) - 4*p(u). Find the first derivative of z(g) wrt g.
-22*g
Let x(q) be the first derivative of q**5/60 + q**4/12 - q**2 - 2. Let b(i) be the second derivative of x(i). Find the second derivative of b(v) wrt v.
2
Suppose 0*q + 54 = 3*q. Let b be q/10 + 2/10. Find the third derivative of -n**2 - n**6 + b*n**6 + 0*n**2 wrt n.
120*n**3
Let p(j) be the first derivative of -6*j**5/5 - 2*j**3 - 8. What is the third derivative of p(g) wrt g?
-144*g
What is the derivative of 12 + 9*s**4 - 40*s**3 + 40*s**3 wrt s?
36*s**3
Let w = 18 + -9. Find the third derivative of -4*z**3 + 7*z**3 - 3*z**2 + w*z**2 wrt z.
18
Let z(v) be the third derivative of 0 - 3*v**2 - 1/20*v**5 + 0*v**4 - 1/3*v**3 + 0*v. Find the first derivative of z(o) wrt o.
-6*o
Let l(f) be the second derivative of -4*f**5/5 + 13*f**4/6 - 18*f. What is the third derivative of l(c) wrt c?
-96
Let w(z) = -z**2 + 7*z - 10. Let a be w(4). What is the third derivative of 2*u**2 + 4*u**a - 3*u**2 + 2*u**3 wrt u?
12
What is the second derivative of 40*f + 21*f - 47*f - 21*f**5 + 5*f**5 wrt f?
-320*f**3
Let x(u) = -5*u**2 + 7*u + 5. Let j be ((-60)/(-25))/(4/10). Let w(m) = 2*m**2 - 3*m - 2. Let s(v) = j*x(v) + 14*w(v). Differentiate s(c) wrt c.
-4*c
Let p(r) = -1 - r**3 + 2*r**3 - 3*r**2 + 0 + 6*r**2. Let a be p(-2). Differentiate -a + 3 + 0*v - 4 + 3*v wrt v.
3
Let j be 3*3/(1 - -2). Suppose 2*l = -t + 8, j*l - 15 = -6*t + 3*t. Find the second derivative of 2*u**3 - 3*u**3 - u - 2*u**l wrt u.
-18*u
Let w(k) = -45*k**5 - 3*k**3 - 4*k**2 + 3*k. Let z(s) = s**5 + s**3 - s**2 - s. Let l(x) = -w(x) - 3*z(x). Find the third derivative of l(f) wrt f.
2520*f**2
Let j be ((-12)/9)/((-2)/12). Let t be 6 - j - -5*1. What is the first derivative of h**t - 2*h**3 - 3*h**3 - 2 wrt h?
-12*h**2
Let f(t) be the first derivative of 23*t**3/3 - 5*t**2/2 - 6. What is the second derivative of f(j) wrt j?
46
Let c = 12 + -10. Find the third derivative of k**2 - 4*k**3 - 3*k**c - 4*k**2 wrt k.
-24
Find the third derivative of 4*x**6