. Let k(f) = -6*l(f) - 5*y(f). Find the first derivative of k(u) wrt u.
-18*u**2
Let l(n) = -5*n**2 + 7*n. Let h(m) = -m. Let p(f) = -6*h(f) - l(f). Find the second derivative of p(d) wrt d.
10
Suppose 12 = -b + 6*x - 3*x, b = -4*x + 23. Find the third derivative of -3*h**3 - 3*h**b + 6*h**3 + 3*h**5 - 4*h**2 wrt h.
180*h**2
Let a = 77/249 - -2/83. Let b(n) be the second derivative of -1/10*n**5 + 0*n**2 - 3*n + 0*n**4 + 0 - a*n**3. What is the second derivative of b(k) wrt k?
-12*k
Let k(g) be the third derivative of -g**7/105 - 7*g**5/120 + g**3/2 - g**2. Let q(m) be the first derivative of k(m). Find the second derivative of q(i) wrt i.
-48*i
Let l(h) = h + 1. Let n be l(-1). Suppose -i + n*p - p + 1 = 0, 5*i = 3*p + 13. What is the second derivative of -7*q + i*q - 2*q**2 + 3*q wrt q?
-4
Let h(m) = m**2 - 7. Suppose 5*u + 0 - 5 = 0, 4*y = -2*u - 10. Let v(w) = -2*w**2 + 8. Let g(t) = y*v(t) - 4*h(t). Differentiate g(r) with respect to r.
4*r
What is the first derivative of 49*g**2 - 22 + 5*g - 106*g**2 + 6 + 52*g**2 wrt g?
-10*g + 5
Let a(k) = 3*k**3 - 6*k**2 - 4. Suppose -2*o + o = 7. Let g(v) = -6*v**3 + 11*v**2 + 7. Let z(x) = o*a(x) - 4*g(x). What is the third derivative of z(u) wrt u?
18
Let g(c) be the first derivative of -9*c**3 - 4*c**2 + 5. What is the second derivative of g(y) wrt y?
-54
Let l(s) = -s**3 + 11*s**2 + 11*s + 17. Let c be l(12). What is the derivative of 25*j**3 - 14*j**3 - 4 - c*j**3 - 3 wrt j?
18*j**2
Differentiate -2 - j**3 + 12 + 2 - 3*j**3 with respect to j.
-12*j**2
Let b(q) = q**2 + q - 2. Let w be b(-2). What is the first derivative of w - 3 - 7*v + 4 wrt v?
-7
Let u be (1 + -4)/(6/(-4)). Let c be (-12)/(-8) - (-12)/(-8). What is the second derivative of 0*m**2 + u*m**4 + 2*m + c*m**2 wrt m?
24*m**2
Let z be 4/(-22) - (-75)/110. Let w(j) be the first derivative of -2 + z*j**2 - 2*j. What is the first derivative of w(k) wrt k?
1
What is the third derivative of -37*o**4 + 29*o**2 - 6*o**2 + 11*o**4 wrt o?
-624*o
Let l(n) be the second derivative of 6*n + 0*n**3 + 1/2*n**4 + 0 - 3*n**2. What is the first derivative of l(f) wrt f?
12*f
Let g(x) be the first derivative of 0*x**2 + 4*x + 4 + 0*x**4 + 0*x**3 - 7/5*x**5. Differentiate g(z) with respect to z.
-28*z**3
Let u(p) be the third derivative of -7/6*p**3 - 6*p**2 + 0*p + 0 + 0*p**4 + 0*p**5 - 1/24*p**6. Find the first derivative of u(s) wrt s.
-15*s**2
Let p(g) = 25*g**3 - 2*g - 29. Let w(d) = -d**3 - d + 1. Let y(s) = -p(s) + 2*w(s). Differentiate y(b) wrt b.
-81*b**2
Suppose -2*y = -4 - 16. Differentiate -5*d + y + 2*d + 4 - 7 wrt d.
-3
Let z(l) be the second derivative of l**9/5040 - 7*l**6/720 + l**4/4 + 3*l. Let x(o) be the third derivative of z(o). Find the second derivative of x(t) wrt t.
36*t**2
Let a(u) be the first derivative of -4*u - 1 - 3 + u**2 - 2*u**2. Differentiate a(x) wrt x.
-2
Let o(y) be the second derivative of -4*y**7/21 - y**4/4 + 2*y. What is the third derivative of o(k) wrt k?
-480*k**2
Let x(i) be the second derivative of 5/56*i**8 + 0*i**5 + 0*i**6 - 1/12*i**4 + 0*i**7 + 0*i**3 + 0 + 0*i**2 + 5*i. What is the third derivative of x(c) wrt c?
600*c**3
Let u(a) be the first derivative of -a**6/30 + 2*a**5/15 - 4*a**2 - 8. Let k(d) be the second derivative of u(d). What is the third derivative of k(n) wrt n?
-24
Let j(m) be the third derivative of -m**6/180 + m**4/12 - 2*m**3/3 + 2*m**2. Let t(x) be the first derivative of j(x). Find the first derivative of t(n) wrt n.
-4*n
Let m(i) = 18*i**2 - 90*i + 11. Let k(p) = 6*p**2 - 30*p + 4. Let f(z) = -11*k(z) + 4*m(z). Find the second derivative of f(n) wrt n.
12
What is the first derivative of 8*g - 5 - 5 + 5 + 3 wrt g?
8
Let n(g) be the third derivative of -g**4/12 + g**3/3 - g**2. Let c be n(-8). What is the first derivative of c*o**2 - 18*o**2 + o**3 + 1 wrt o?
3*o**2
Let i(u) be the second derivative of 0*u**6 + 0*u**4 - 1/7*u**7 + 3*u - 7/6*u**3 + 0 + 0*u**5 + 0*u**2. Find the second derivative of i(q) wrt q.
-120*q**3
Let w = 6 + -11. Let u = w - -10. What is the second derivative of -2*i - i**2 + u*i**2 - 6*i**2 wrt i?
-4
Let y(j) be the first derivative of j**5/20 + j**4/12 - j**3/3 + 6. Let u(p) be the third derivative of y(p). What is the derivative of u(m) wrt m?
6
Let j = 22 - 17. Let l(g) be the second derivative of 0*g**2 - g - 1/20*g**j - 1/6*g**3 + 0*g**4 + 0. Find the second derivative of l(v) wrt v.
-6*v
Let i(g) = -6*g**3 - 2. Let s be 4/(-6) - 51/(-9). Let f(v) = 13*v**3 - v + 5. Let u(m) = s*i(m) + 2*f(m). Find the second derivative of u(q) wrt q.
-24*q
Let w(q) be the first derivative of 7*q**5/5 - 22*q**3/3 + 2. Find the third derivative of w(z) wrt z.
168*z
Let c(o) be the second derivative of o**6/30 + o**5/5 + 9*o**3 - 5*o + 1. Find the second derivative of c(l) wrt l.
12*l**2 + 24*l
Let o(w) = 8*w**3 - 4*w**2 - 2. Let m(q) = 8*q**3 - 3*q**2 - 3. Let j(g) = -2*m(g) + 3*o(g). What is the third derivative of j(x) wrt x?
48
Let o = 0 + 8. Differentiate 6*c - 9 + 7 + o with respect to c.
6
Let x(o) be the first derivative of o**3 - 15*o + 11. What is the derivative of x(d) wrt d?
6*d
Let h(w) = -2*w**4 + 4*w**2 + 3*w. Let l(i) = i**4 - i. Let d(q) = -h(q) - 3*l(q). What is the third derivative of d(x) wrt x?
-24*x
Let i be (4/240)/(7/4). Let y(b) be the third derivative of 0*b**5 + 0 - 1/6*b**3 - i*b**7 + b**2 + 0*b + 0*b**4 + 0*b**6. Differentiate y(d) wrt d.
-8*d**3
Let q = -3 + 11. Suppose -5*h = -h - q. What is the third derivative of 4*v**6 - 2*v**6 + 5*v**2 - 3*v**h wrt v?
240*v**3
Find the third derivative of k**2 - 8*k**5 - 249*k + 3*k**5 + 249*k wrt k.
-300*k**2
Find the second derivative of -6*d**2 - 6*d - 3*d**2 - 4*d**2 wrt d.
-26
Let r(a) = a - 3. Let x be r(4). What is the derivative of x - 26*q - 4 + 0 + 25*q wrt q?
-1
Let k be (-34)/(-6) - 3/(-9). Let t be k + (-4)/(-6)*-3. Find the second derivative of 2*f**3 - 2*f**3 - f + 3*f**4 + 0*f**t wrt f.
36*f**2
Let z(d) = 4*d**2 + d - 1. Suppose 3*u - 1 = 2*u. Let l be z(u). Find the second derivative of p**2 + l*p - 4*p**2 + p**2 wrt p.
-4
Find the second derivative of r + 2*r + 3*r + 5*r**4 + 10*r**4 wrt r.
180*r**2
Suppose 0 = -4*n + n. Suppose n = -3*g - g. Find the first derivative of 5 - 3 + g + 2*y**3 wrt y.
6*y**2
Let t(s) be the second derivative of 7*s**4/6 - 3*s**3/2 + 4*s. What is the second derivative of t(w) wrt w?
28
Let h(q) be the first derivative of 2*q**7/7 - 5*q**3/3 + 11. What is the third derivative of h(f) wrt f?
240*f**3
Let s(j) = -j - 1. Suppose 8 + 13 = 3*d. Let y(m) = 4 - 4 - d*m - 3. Let t(u) = -4*s(u) + y(u). Find the first derivative of t(o) wrt o.
-3
Suppose 0 = -2*s + 5*n + 36, 2*n = -s + 4*n + 16. Suppose z - 4*r - 10 = 0, 0 + 2 = -z - 2*r. Find the first derivative of o**2 + z + s*o - 8*o wrt o.
2*o
Let o(i) be the second derivative of i**6/180 + i**5/120 - i**3/6 - 3*i. Let u(w) be the second derivative of o(w). What is the second derivative of u(j) wrt j?
4
Let h(p) be the third derivative of -p**5/30 - p**4/24 + 5*p**2. What is the second derivative of h(x) wrt x?
-4
Let s(t) be the third derivative of 0*t**4 + 0*t - 1/336*t**8 + t**2 + 0 + 0*t**3 - 1/20*t**5 + 0*t**7 + 0*t**6. What is the third derivative of s(d) wrt d?
-60*d**2
Differentiate -7*x**2 - x**2 + 0*x**2 + 7 + 2*x**2 with respect to x.
-12*x
Let x(u) be the second derivative of -5/6*u**3 + 0*u**2 + 0 + 1/6*u**6 + 0*u**5 + 0*u**4 + 6*u. Find the second derivative of x(n) wrt n.
60*n**2
Let x(u) = 16*u**3 + 9*u**2 - 11*u - 11. Let z(b) = -8*b**3 - 5*b**2 + 6*b + 6. Let y(w) = 6*x(w) + 11*z(w). What is the third derivative of y(s) wrt s?
48
Let u(g) be the third derivative of -11*g**8/168 + 17*g**4/12 + 30*g**2. Find the second derivative of u(l) wrt l.
-440*l**3
What is the third derivative of -21*r**2 + 11*r**6 + 12*r**2 - 8*r**2 wrt r?
1320*r**3
Let h(i) be the third derivative of 1/6*i**4 + 0*i**6 + 0*i**3 + 0 + 3*i**2 - 1/336*i**8 + 0*i**5 + 0*i + 0*i**7. Find the second derivative of h(w) wrt w.
-20*w**3
Let q(v) be the first derivative of 15*v**4/4 - 16*v**3/3 + 18. Find the third derivative of q(d) wrt d.
90
Let s be 6 - (1/(-1) - -1). Suppose s*t - 9 = 3*t. What is the second derivative of p**2 + 4*p**2 - 2*p - t*p**2 + 0*p**2 wrt p?
4
What is the second derivative of 6*p**2 - 6*p**2 - p**4 + 14*