*3 - 8*t**3 + 0*t**4 - 10*t**4. Let f(m) = 5*l(m) + n(m). Find the third derivative of f(k) wrt k.
-264*k
Let h(k) = k**4 + k**3 - k - 1. Let l(t) = 4*t**4 + 16*t**3 - 16*t - 40. Let f(p) = -16*h(p) + l(p). What is the derivative of f(x) wrt x?
-48*x**3
Let j(r) = r**3 - 4*r**2 - 3*r - 10. Let a be j(5). Let c = -1 + 1. Find the second derivative of -s - 2*s**5 + c*s**5 + a*s wrt s.
-40*s**3
Let u(x) = -14*x**5 - 3*x**3 - 3*x**2 - 35*x. Let r(q) = 14*q**5 + 4*q**3 + 4*q**2 + 36*q. Let y(v) = 3*r(v) + 4*u(v). Find the second derivative of y(z) wrt z.
-280*z**3
Let y(t) be the second derivative of -11*t**3/2 - 35*t**2/2 + 23*t. Differentiate y(v) wrt v.
-33
Let d(x) = 3*x**2 + 2*x - 12. Let w be d(-5). What is the third derivative of 4*b**3 - 53 - 3*b**2 + w wrt b?
24
Find the second derivative of -7*b + 3*b + b + 4*b**5 + 5*b**5 wrt b.
180*b**3
Let z(o) = 5*o**2 + 8*o + 4. Let j(f) = f - f - f**2 - 1 - f. Let m(c) = 4*j(c) + z(c). What is the second derivative of m(w) wrt w?
2
Let b(i) be the second derivative of i**4/4 + i**3/6 - 6*i. What is the second derivative of b(c) wrt c?
6
Let m be 2*(63/21 - 11/4). Let a(d) be the first derivative of 3*d - m*d**2 + 2. What is the derivative of a(k) wrt k?
-1
What is the third derivative of 47*c**2 - 33*c**3 + 12*c**3 - 52*c**2 wrt c?
-126
Let g(a) be the first derivative of -a**5/120 - 7*a**4/24 + a**3 - 6. Let n(q) be the third derivative of g(q). What is the first derivative of n(o) wrt o?
-1
What is the second derivative of 0*h - 6*h + 4*h**5 - 3*h**5 wrt h?
20*h**3
Let y(b) be the second derivative of b**4/12 - 11*b**2 + 21*b. What is the derivative of y(s) wrt s?
2*s
Let u(a) be the second derivative of -3*a**6/10 + 9*a**2 + 8*a. Differentiate u(d) wrt d.
-36*d**3
Let n(h) be the first derivative of h**7/7 - 5*h**3/3 + 2. What is the third derivative of n(m) wrt m?
120*m**3
What is the second derivative of 4 + 8*l**4 + l - 4 - l**4 wrt l?
84*l**2
Suppose -4*r = x + 4*x + 30, -x + 3*r = 6. Let p = x - -17. Find the second derivative of -n**2 + 2*n**2 - 10*n + p*n wrt n.
2
Let z(l) = -l**4 + l**3 - l. Let n(h) = 0*h**3 + h**3 + 4*h - 2*h**3 - 3*h**4. Let u(t) = -n(t) - z(t). What is the second derivative of u(k) wrt k?
48*k**2
Let g(c) = -12*c**2 - 22. Let b(r) = -18*r**2 - 33. Let k(i) = -5*b(i) + 7*g(i). What is the first derivative of k(m) wrt m?
12*m
Let b(x) be the second derivative of 37*x**4/12 + 57*x**2/2 - 52*x. What is the first derivative of b(c) wrt c?
74*c
Let t(s) be the third derivative of s**6/180 + s**5/120 - s**3/2 - s**2. Let z(u) be the first derivative of t(u). What is the second derivative of z(a) wrt a?
4
Let r(h) be the second derivative of -13*h**6/30 - 7*h**4/6 + 7*h. What is the third derivative of r(b) wrt b?
-312*b
Let q(l) be the third derivative of 9*l**6/40 + 4*l**5/15 - 5*l**2. What is the third derivative of q(a) wrt a?
162
Let f(m) be the second derivative of 13*m**5/20 + 11*m**4/6 - 10*m. What is the third derivative of f(w) wrt w?
78
Let l(x) be the second derivative of -11*x**3/6 + 35*x**2/2 - 12*x. Differentiate l(q) with respect to q.
-11
Suppose 2*r + 8*q - 3*q = 30, 0 = 2*q - 8. Suppose -9 = -3*l + 3*w + 6, 3*l - 2*w - 12 = 0. Find the second derivative of 2*d - l*d - d**r + 2*d wrt d.
-20*d**3
Suppose 0 = b - 0*b - 5. Find the third derivative of 2*c**5 + 3*c**5 + 3*c**2 - 4*c**b wrt c.
60*c**2
Let n(t) = -t + 5. Let b be n(5). Suppose 4*z - 10 - 2 = b. What is the second derivative of -5*u**2 + z*u**2 + 5*u**2 + 2*u wrt u?
6
Let l(m) = 5*m**2 + 6*m + 10. Let c(p) = -p**2 - p - 1. Let k be -1 + 1 + (-7 - -6). Let n(g) = k*l(g) - 6*c(g). What is the derivative of n(w) wrt w?
2*w
Let s(l) be the third derivative of 0*l - 1/10*l**5 + 0 + 0*l**6 + 0*l**3 + 1/112*l**8 + 0*l**7 + 0*l**4 + 4*l**2. Find the third derivative of s(f) wrt f.
180*f**2
Let v be 0/4 + (-39)/(-3). Find the first derivative of 2 + v*z**4 + 5 - 19*z**4 wrt z.
-24*z**3
Differentiate 2*n + 2*n + 6 - 13 + 0*n wrt n.
4
Let y(z) = 6*z**4 + 3*z**3 - z**2 + 59*z - 4. Let u(l) = l**4 - l**2 - l - 2. Let j(f) = 2*u(f) - y(f). What is the third derivative of j(v) wrt v?
-96*v - 18
Let s(q) be the first derivative of 11*q**5/5 + q**2/2 + 24*q + 49. Differentiate s(m) wrt m.
44*m**3 + 1
Let d(r) be the first derivative of 3*r**5/5 - 5*r**2/2 + 3. Find the second derivative of d(y) wrt y.
36*y**2
Let k(v) = -23*v**3 - 2*v**2 - 2*v - 4. Let j(q) = 24*q**3 + 3*q**2 + 3*q + 3. Let x(u) = 2*j(u) + 3*k(u). Differentiate x(l) with respect to l.
-63*l**2
Let j(a) = -7*a**2 - 5*a - 23. Let m(o) = -3*o**2 - 3*o - 12. Let y(z) = 3*j(z) - 5*m(z). What is the derivative of y(x) wrt x?
-12*x
Let z(n) be the third derivative of -n**6/90 + n**5/60 - n**3 + 8*n**2. Let d(c) be the first derivative of z(c). Find the second derivative of d(t) wrt t.
-8
Let m be (-18)/(-81)*(-18)/(-2). Find the third derivative of -d**4 + m*d**4 - 7*d**2 + 3*d**2 - 2*d**2 wrt d.
24*d
Let b(a) = -a - 6. Let v(n) = n - 1. Let c = -10 - -11. Let w(i) = c*b(i) - 3*v(i). What is the derivative of w(y) wrt y?
-4
Let u(j) be the third derivative of j**7/2520 + j**6/360 - j**4/4 - j**2. Let w(y) be the second derivative of u(y). Find the second derivative of w(v) wrt v.
2
Suppose -18 = -b - 4*g, g - 8 = 2*b - 2*g. Let f(x) be the first derivative of 2 - 1/2*x**b - 2/3*x**3 + 0*x. Find the second derivative of f(s) wrt s.
-4
Suppose -4*h + 9*h = 15. Let i = 1 - -1. Find the first derivative of 4*y**2 + h*y**3 - 6*y**2 + 4 + i*y**2 wrt y.
9*y**2
Suppose 3*d - 3 = -n - 16, 4*n + d = 3. What is the first derivative of 0 + 2*h**3 + n*h**3 + 1 wrt h?
12*h**2
Suppose -v - 21 = 2*v. Let f be (2/6)/(v/(-63)). Find the third derivative of 0*r**3 - r**2 + 5*r**f - 3*r**3 wrt r.
12
Let m(s) = -24*s + 9. Let v(j) = -24*j + 9. Let k(x) = 5*m(x) - 6*v(x). What is the derivative of k(l) wrt l?
24
Let w(h) be the first derivative of -5*h**4 - 27*h + 40. Differentiate w(u) wrt u.
-60*u**2
Suppose x = -2*x. What is the first derivative of x*h**3 - 7 - 2*h**3 + h**3 wrt h?
-3*h**2
Find the third derivative of -6*o**5 + 39*o**5 + 6*o**2 + o**2 wrt o.
1980*o**2
Suppose -48 = 5*g - g. Let r = -7 - g. What is the second derivative of -1 - i + 1 + 0*i**5 - 2*i**r wrt i?
-40*i**3
Suppose a + 5*x = 3*x - 4, -16 = 4*x. Let v(n) be the first derivative of 0*n**a + 0*n + 2/5*n**5 - n**2 + 0*n**3 + 2. Find the second derivative of v(u) wrt u.
24*u**2
Let o(u) be the second derivative of -7*u**4/12 - 6*u**2 + 16*u. What is the derivative of o(v) wrt v?
-14*v
What is the first derivative of 20*s**4 + s - s - 13 + 12 wrt s?
80*s**3
Let l(d) = d**3 + d + 3. Let b be l(0). Find the second derivative of h - 8*h**2 + h + 8*h**2 - 2*h**b wrt h.
-12*h
Let p(w) = w**2 - 2*w + 2. Let h be p(2). Find the third derivative of n**h - 5*n + n**3 - n + 6*n wrt n.
6
Differentiate -6*s**3 - 4*s + 3*s + s + 5 with respect to s.
-18*s**2
Suppose -8 = -0*m - 2*m. Find the third derivative of -3 + 4*p**3 + m*p**2 + 3 wrt p.
24
Let v(d) be the first derivative of -29*d**2 + 44*d - 21. What is the first derivative of v(n) wrt n?
-58
Let x(l) be the first derivative of -8*l**5/5 + 8*l - 1. Differentiate x(q) with respect to q.
-32*q**3
Suppose 0 = 3*b - 8 + 2. What is the derivative of -5*g**3 + 4 - g + b*g - g wrt g?
-15*g**2
Suppose -50 = -2*x - 16. Suppose 4*r + 5*g - x - 11 = 0, -2*g = -4*r. What is the first derivative of 3 + 6*h**2 + 0*h**2 - 5*h**r wrt h?
2*h
Suppose 0 = 2*j + 6, 4*q + 3*j + 32 = -1. Let y be 0 + 4/q*-3. Differentiate -c + c + y*c - c + 1 wrt c.
1
Suppose -2 = 3*j + 2*k, 4*k + 3 = -3*j + k. Find the first derivative of 0*u - u - 2*u - 5 + j*u wrt u.
-3
Let t(o) = -o - 8*o**2 - 1 + 3*o + 3*o**3 + 7*o**2. Let i be t(1). What is the third derivative of -3 - 2*z**3 + i - z**2 wrt z?
-12
What is the second derivative of 2*a - 40*a**3 - a + 39*a**3 + 0*a wrt a?
-6*a
What is the first derivative of 0*l + 0*l + 0*l + 23*l**4 - 32 wrt l?
92*l**3
Suppose -3*f + f + 16 = 0. Find the third derivative of -f*o**2 - 17*o**4 + 5*o**4 + 6*o**4 wrt o.
-144*o
Let s(l) = -8*l + 12. Let f(i) = -1. Let y = -9 + 10. Let j(z) = y*s(z) + 5*f(z). Find the first derivative of j(c) wrt c.
-8
Let y(x) = 8*x**2 - 6*x - 12. Let i(r) = -r**2 + r. Let m(d) = -6*i(d) - y(d). Find the first derivative of m(