3*o + f*o**4 wrt o.
12*o**2
Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l.
4*l**3
Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f.
-12*f
Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m.
28*m
Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k.
-456*k**2
Let j = -1 + 3. Let p be -3*(j - (-1 + 4)). What is the first derivative of 0 - 3 + 4 + p*c wrt c?
3
Let z(t) = 7*t**4 + 6*t**3 - 4*t**2 - 6*t. Let v(a) = a**3 - a**2 - a. Let q(f) = 6*v(f) - z(f). What is the third derivative of q(i) wrt i?
-168*i
What is the third derivative of 39*k**6 - 54*k**6 + 33*k**6 + 6*k**2 + 6*k**2 wrt k?
2160*k**3
Let k(l) be the first derivative of l**2 + l - 5 + l**2 + 0 + 0. Find the first derivative of k(b) wrt b.
4
Let g(x) be the third derivative of x**6/3 - 37*x**4/24 - 16*x**2. Find the second derivative of g(a) wrt a.
240*a
Let w be (0 - 0)/(5/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t?
-2
Let y(i) be the second derivative of -6*i**5/5 + 7*i**2 + 24*i. Differentiate y(g) wrt g.
-72*g**2
Let g(b) be the second derivative of -b**10/2520 - b**6/360 + b**3/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q.
-240*q**3
Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x?
-6
Let x(o) = o**2 - o - 2. Let n be x(-1). Find the third derivative of 4*w**4 - 27*w**2 + 29*w**2 + n*w**4 wrt w.
96*w
Let r(x) = -2*x - 2. Let k be r(-5). Let m be (k - 1)*(-6)/(-21). Differentiate 6*w**2 + 1 - 6*w**m - 4*w**4 wrt w.
-16*w**3
Let f(a) be the second derivative of 0*a**5 - 1/14*a**7 - 1/6*a**3 + 0*a**4 + 0*a**6 + 0*a**2 + 4*a + 0. Find the second derivative of f(p) wrt p.
-60*p**3
Suppose 3*g = 6*g. Let s(i) be the second derivative of 0 + g*i**4 - 1/30*i**6 + 0*i**5 + 0*i**3 + 2*i - i**2. What is the derivative of s(a) wrt a?
-4*a**3
Let i(y) be the second derivative of 0 - 2*y + 1/10*y**5 + 0*y**3 + 0*y**2 + 1/3*y**4. Find the third derivative of i(t) wrt t.
12
Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c.
8*c
Suppose 0 = 6*v - 3*v - 54. Find the first derivative of -13 - 5*d**3 - 5*d**3 + v + 3*d**3 wrt d.
-21*d**2
Let v(i) be the first derivative of -i**7/70 + i**5/30 - i**2 - 1. Let t(r) be the second derivative of v(r). What is the third derivative of t(d) wrt d?
-72*d
Suppose 5*d = 4*u + u + 25, 0 = 4*u + 8. Suppose -3*o = -6 - d. What is the first derivative of -2*z**o + 4 - 3 + 4*z**3 wrt z?
6*z**2
Let d(y) be the second derivative of 0*y**3 - 6*y + 0*y**2 - 1/2*y**4 + 0 + 1/10*y**5. Find the third derivative of d(a) wrt a.
12
Let q(v) be the third derivative of 1/15*v**5 + 4*v**2 + 0*v + 1/24*v**4 + 0*v**3 + 0. Find the second derivative of q(x) wrt x.
8
Let m(h) be the first derivative of -3*h**4/4 + 21*h**2/2 + 3. Find the second derivative of m(c) wrt c.
-18*c
Let k(z) be the second derivative of z + 0*z**5 + 2/3*z**4 + 0*z**3 + 0 + 7/30*z**6 + 0*z**2. What is the third derivative of k(b) wrt b?
168*b
Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1/6*g**3 + 0*g + 1/8*g**4 + 3*g**h. Differentiate v(m) with respect to m.
3
Let y(a) be the first derivative of -a**5 - 8*a**3/3 + 4. What is the third derivative of y(p) wrt p?
-120*p
Let p(i) be the first derivative of 0*i + 0*i**3 - i**4 + 3/2*i**2 - 4. What is the second derivative of p(f) wrt f?
-24*f
Find the third derivative of 3*z**2 - 5*z + 5*z - 21*z**6 + z**2 wrt z.
-2520*z**3
Let x(j) be the first derivative of 35*j**4/4 - 41*j**2/2 - 1. What is the second derivative of x(p) wrt p?
210*p
Let d(r) = -r - 2. Let k be d(-6). What is the second derivative of k*g**4 + 2*g - 12*g**4 + g wrt g?
-96*g**2
Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l.
744*l
Let c(g) be the first derivative of g**6/10 - g**4/4 + 4*g + 4. Let h(w) be the first derivative of c(w). What is the third derivative of h(l) wrt l?
72*l
Let y(c) be the third derivative of c**5/4 - 17*c**3/6 - 38*c**2. What is the first derivative of y(h) wrt h?
30*h
Let w(n) = -5*n**3. Let m be w(-1). Suppose 0 = -4*f - 5*p + 40, -m*f + 12 = -f - 2*p. What is the derivative of 2 + f*i - 4*i + 0*i wrt i?
1
What is the third derivative of 22*y**2 - 24*y**2 - 9*y**5 + 0*y**5 wrt y?
-540*y**2
Let u = 11 - 11. Suppose 4*f + 0 = -3*z + 2, u = 2*z + 4*f. Find the second derivative of 2*o**z - 2*o**2 + 2*o**2 - 2*o + 0*o wrt o.
4
What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k?
-1680*k**2
Let c(f) be the second derivative of f**9/5040 + f**5/24 - f**4/2 + 7*f. Let g(x) be the third derivative of c(x). Find the first derivative of g(s) wrt s.
12*s**3
Let r = 1 + 1. Find the second derivative of 0*l**r + 2*l - 5*l**2 + l**3 + 5*l**2 wrt l.
6*l
Let j(g) = -10*g**3 - 6. Let t = 51 + -34. Let s(r) = -3*r**3 - 2. Let x(p) = t*s(p) - 6*j(p). Find the first derivative of x(f) wrt f.
27*f**2
Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s.
24*s**2 - 12*s
Let j(p) be the second derivative of 1/3*p**3 + 3/2*p**2 + 3*p + 0. Differentiate j(n) wrt n.
2
Let h(v) = -5*v**2 - 3*v. Let p(s) = -s**2 + s. Let n(z) = -3*h(z) + 6*p(z). Find the second derivative of n(i) wrt i.
18
Suppose -5*o + 2 = 32. Let m(u) = -5*u**3 + u**2 + 6. Let r(c) = 15*c**3 - 3*c**2 - 17. Let x(a) = o*r(a) - 17*m(a). What is the third derivative of x(d) wrt d?
-30
Let a = 3 - 2. Let p(u) = 4*u**2 + 4*u - 4. Let y(t) = -t. Let c(j) = -j + 1. Let h be c(-3). Let q(d) = a*p(d) + h*y(d). What is the derivative of q(s) wrt s?
8*s
Let f(c) be the second derivative of -3/56*c**8 + 0*c**5 + 0*c**2 - 4*c + 0*c**7 + 0 + 1/6*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(p) wrt p.
-360*p**3
Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y.
-312*y**2
What is the second derivative of 4*s**2 - 3*s + 8*s**2 - 4*s - 9*s**2 wrt s?
6
Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)/(3*(-2)/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b?
6*b
Suppose -5*c + 2*l = l - 19, -14 = -3*c - 2*l. Let x be (c + -5)/((-1)/2). Differentiate 4 - x*m**2 + m**2 - 3 with respect to m.
-2*m
Let b be (3/3 - 1) + 2. Let l be 24/6*b/4. Find the third derivative of 12*t + t**l - 12*t - t**4 wrt t.
-24*t
Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f?
4
Let p(f) be the third derivative of f**8/56 + f**4/6 + 6*f**2. Find the second derivative of p(q) wrt q.
120*q**3
Let a(u) be the third derivative of u**4/24 - u**3/6 - 5*u**2. What is the derivative of a(p) wrt p?
1
Let x(y) = 2*y**3 + 6*y**2 - 6*y - 7. Let t(z) = -z**2 + z. Let i(c) = 6*t(c) + x(c). Find the first derivative of i(f) wrt f.
6*f**2
What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o?
18
Let g(n) be the second derivative of 5*n**4/2 - 5*n**3/2 + 8*n. What is the second derivative of g(v) wrt v?
60
Let v(m) be the second derivative of m**7/280 + m**6/120 + m**3/3 - 3*m. Let y(a) be the second derivative of v(a). Find the third derivative of y(l) wrt l.
18
Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k.
84*k**2
Suppose -3*n + 7 = -8. Find the second derivative of y**4 + 2*y + 0*y + n*y - 5*y**4 wrt y.
-48*y**2
Let k(q) = -47*q**4 + 8*q**3 + 37*q**2 - 8*q. Let t(h) = 31*h**4 - 5*h**3 - 25*h**2 + 5*h. Let d(a) = -5*k(a) - 8*t(a). Find the third derivative of d(y) wrt y.
-312*y
Let s(q) be the third derivative of q**8/280 + q**5/30 - q**3/3 - 5*q**2. Let v(m) be the first derivative of s(m). What is the second derivative of v(c) wrt c?
72*c**2
Let h(t) be the third derivative of 0*t**6 + 0 + 0*t + 0*t**3 + 1/6*t**4 + 0*t**5 + 2/105*t**7 - 3*t**2. What is the second derivative of h(p) wrt p?
48*p**2
Find the third derivative of -4*h**2 - h**2 + 9*h**4 + 2*h**2 wrt h.
216*h
Let j(k) be the thir