3*w**6/5 - 11*w**3/2 - 18*w. Find the second derivative of h(l) wrt l.
216*l**2
Let z(u) be the second derivative of -u**3/3 + u**2/2 - 2*u. What is the first derivative of z(t) wrt t?
-2
Let k(p) = 209*p**3 - 77*p**2 + 286. Let m(i) = -8*i**3 + 3*i**2 - 11. Let d(s) = 3*k(s) + 77*m(s). Find the first derivative of d(r) wrt r.
33*r**2
Let t(b) = 3*b**2 + 5. Let i(c) = 7*c**2 + 11. Let z(p) = 4*i(p) - 7*t(p). What is the first derivative of z(g) wrt g?
14*g
Let k(a) = 12*a + 2. Let q be k(-4). Let j be q/(-14) - (-2)/(-7). Find the second derivative of 0*z - j*z + 4*z**3 - 3*z**3 wrt z.
6*z
Let s(d) be the third derivative of -5*d**5/12 + 25*d**4/24 + 26*d**2. Find the second derivative of s(t) wrt t.
-50
Suppose -4*i = -2*h - 2, -2*h + i = 2*i - 13. Find the second derivative of 4*n**4 + 6*n - h*n**4 + 8*n**4 wrt n.
84*n**2
Find the second derivative of -3*u + 4*u - 3*u + 8*u**2 - 4*u wrt u.
16
Let s(j) be the first derivative of -2*j**2 + 22*j + 9. What is the first derivative of s(k) wrt k?
-4
Let g(i) be the second derivative of -49*i**3/6 - 23*i**2/2 - 59*i + 2. What is the first derivative of g(t) wrt t?
-49
Let j(m) be the first derivative of -9*m**2/2 - 31*m - 4. Differentiate j(q) with respect to q.
-9
Let t(r) be the third derivative of r**8/2240 - r**5/40 + r**4/8 - 2*r**2. Let u(f) be the second derivative of t(f). Differentiate u(w) wrt w.
9*w**2
Suppose 3*t + 5 = -4. Let f = 2 - t. Find the third derivative of 4*h**2 + h**4 + 0*h**2 - f*h**2 wrt h.
24*h
Suppose -38 = -2*s - 14. Find the third derivative of s - 7*f**5 + 3*f**2 - 12 wrt f.
-420*f**2
Let i(v) be the first derivative of -1 + 0*v**4 + 0*v + 4/5*v**5 - 1/3*v**3 + 0*v**2. What is the third derivative of i(g) wrt g?
96*g
Let q(d) be the second derivative of 7*d**6/30 - 35*d**2/2 - 20*d. Differentiate q(w) wrt w.
28*w**3
Let p(i) be the second derivative of -i**7/630 - i**5/30 - i**4/6 - 2*i. Let j(v) be the third derivative of p(v). What is the derivative of j(q) wrt q?
-8*q
Let q(i) be the second derivative of i**4/8 - i**3/6 - i**2 - 3*i. Let g(h) be the first derivative of q(h). Find the first derivative of g(w) wrt w.
3
Let o = 30 - 19. Let h(x) = -x**3 + 6*x**2 + 7*x + 2. Let d be h(7). What is the derivative of 8 - o + t**d + t**2 wrt t?
4*t
Let y(v) be the third derivative of 1/2*v**3 + v**2 - 1/12*v**4 + 0*v + 0. What is the derivative of y(w) wrt w?
-2
Let h(w) = w**2 - 4*w. Let n be h(5). Find the second derivative of -5*u**3 - n*u + 2*u + u wrt u.
-30*u
Find the third derivative of 36*x**2 + 15*x**6 + 33*x**6 - 4*x**6 wrt x.
5280*x**3
Let q(v) be the second derivative of -3*v**5/4 - 17*v**2/2 + 13*v. Differentiate q(m) wrt m.
-45*m**2
Let i(l) = l**3 + 4*l**2 - l - 4. Let x(b) = 3*b**2 - 1 + 1 - 3 + 0*b**2. Let a(c) = -3*i(c) + 4*x(c). What is the second derivative of a(h) wrt h?
-18*h
What is the third derivative of 6*l**2 - 11*l**3 + 3*l**6 + l**6 + 11*l**3 wrt l?
480*l**3
Let p(n) be the third derivative of -n**7/840 + n**4/12 - n**3/6 - 2*n**2. Let h(k) be the first derivative of p(k). Differentiate h(d) wrt d.
-3*d**2
Differentiate 111 + 19*g**3 - 121 + 2*g**3 + 0*g**3 with respect to g.
63*g**2
Let f(h) = -h**2 + 6*h + 6. Let z be f(6). Find the third derivative of -5*x**3 - 6*x + z*x - 5*x**2 wrt x.
-30
Let c(q) be the second derivative of -q**10/3780 + q**7/504 - q**4/4 - 3*q. Let k(y) be the third derivative of c(y). Find the third derivative of k(i) wrt i.
-480*i**2
Let c(o) be the first derivative of 3*o**5/5 + 21*o**2/2 + 13. Find the second derivative of c(j) wrt j.
36*j**2
Let o(u) = -u**2 - 6*u. Let m be o(-6). Find the second derivative of m*t**4 + t**4 + 0*t + 4*t wrt t.
12*t**2
Let s(r) = r**2 - r - 2. Let q be s(-2). Suppose p - 10 = -q*p. What is the third derivative of o**3 + 4*o**2 - o**2 - 2*o**p wrt o?
6
Suppose 0 = -3*z + 1 + 2. Let r(l) = l**2 + l. Let j(c) = c**2 + 3*c + 1. Let i(t) = z*j(t) - 3*r(t). What is the derivative of i(f) wrt f?
-4*f
Let r = -1 + 5. Let m = 4 - r. What is the third derivative of -2*k**2 - 5*k**3 + m*k**3 + 3*k**3 wrt k?
-12
Let b(f) be the second derivative of 0 + 0*f**3 - 5/12*f**4 - 1/7*f**8 + 0*f**6 + 0*f**7 + 0*f**5 + 6*f + 0*f**2. What is the third derivative of b(y) wrt y?
-960*y**3
Let u(a) = 13*a**4 - 6*a**3 - 6*a**2 - 6*a + 5. Let r(q) = 27*q**4 - 13*q**3 - 13*q**2 - 13*q + 11. Let p(y) = 6*r(y) - 13*u(y). Differentiate p(h) wrt h.
-28*h**3
Let a(r) = -r + 8. Let k be a(5). Find the third derivative of k*c**2 - 3*c**2 + 3*c**2 - 2*c**4 wrt c.
-48*c
Suppose -4*u + 15 = -5. Differentiate -u - 3 + 12 - 2*q**3 with respect to q.
-6*q**2
Suppose a - i - 4 = -0, 0 = -5*a - 5*i. Find the second derivative of a*l - l**2 + 2*l**2 + l**2 + l wrt l.
4
Let u(a) be the third derivative of -13*a**6/40 + 17*a**3/3 + 40*a**2. Find the first derivative of u(r) wrt r.
-117*r**2
Let z(x) be the second derivative of -7*x**6/10 + x**3/6 - 5*x**2/2 - 50*x. Find the first derivative of z(k) wrt k.
-84*k**3 + 1
Let l(r) be the second derivative of r**6/120 - r**4/24 - r**3/3 + 3*r. Let h(g) be the second derivative of l(g). What is the first derivative of h(m) wrt m?
6*m
Suppose 4*n - j - 9 + 24 = 0, 2*j = -4*n - 6. Let s(p) = -p - 4. Let b(h) = -3. Let c(m) = n*s(m) + 5*b(m). Differentiate c(z) with respect to z.
3
Let r(y) = 8*y - 4. Let k(s) = -s**2 + 7*s - 3. Let i(v) = -4*k(v) + 3*r(v). Find the second derivative of i(q) wrt q.
8
Let a(w) = -5*w**3 - 2*w. Let y(h) = -6*h**3 - 2*h. Let v(i) = 2*a(i) - 3*y(i). What is the second derivative of v(j) wrt j?
48*j
Let i(v) be the third derivative of 7*v**4/8 - 5*v**3/6 - 6*v**2. Find the first derivative of i(h) wrt h.
21
Let s(x) = 9*x**4 + 4*x**3 - 4*x**2 - 18. Let z(p) = -19*p**4 - 9*p**3 + 9*p**2 + 35. Let y(w) = 9*s(w) + 4*z(w). What is the first derivative of y(h) wrt h?
20*h**3
Let h(k) be the third derivative of -1/24*k**6 + 0*k**5 - 3*k**2 + 0 + 0*k + 0*k**3 + 1/24*k**4. Find the second derivative of h(n) wrt n.
-30*n
Let n be -1 - (-17 + -2) - -3. Find the first derivative of 5*u + 4*u + n - 23 wrt u.
9
Let k be (2/(-4))/((-2)/28). Let x = k - 4. What is the derivative of 5*l**x + 3 - 1 - 4*l**3 wrt l?
3*l**2
Differentiate -1 + 7 + 20*o**3 + 24*o**3 wrt o.
132*o**2
Let j(x) = x**3 - x**2 - x + 6. Let d be j(0). What is the second derivative of -4*u - 4*u**4 + 7*u - d*u wrt u?
-48*u**2
Let s = -2 + -4. Let h be 5/(-15) - 14/s. Find the second derivative of -5*n + 3*n + n**4 + h*n**4 wrt n.
36*n**2
Let b be (-2)/(-9) + (-43)/(-9). Let m(w) be the second derivative of 0*w**3 - 3/20*w**b + 3*w + 0*w**4 - w**2 + 0. Differentiate m(v) wrt v.
-9*v**2
Let k(f) be the third derivative of -1/105*f**7 + 0 + 0*f**6 - 1/30*f**5 + 0*f**4 + 2*f**2 + 0*f**3 + 0*f. Find the third derivative of k(q) wrt q.
-48*q
Find the third derivative of -8*z**3 + 6*z**2 - 7*z**2 + 10*z**2 wrt z.
-48
What is the second derivative of 174*x + 51*x**2 - 19*x**2 - 144*x wrt x?
64
Let f(g) be the first derivative of -g**5 - 2*g**5 + 4 + 2*g**5 - 5*g. Differentiate f(t) with respect to t.
-20*t**3
Let a(x) be the second derivative of -x**3 + 7*x**2/2 - x. Differentiate a(l) wrt l.
-6
Let b(s) be the second derivative of s**8/1680 - s**5/120 + s**3/2 - 3*s. Let n(w) be the second derivative of b(w). Find the second derivative of n(o) wrt o.
12*o**2
Let a(w) = -5*w**2 + w + 0 + 8*w + 4. Let q(n) = -1. Let l(r) = a(r) + 4*q(r). Find the second derivative of l(d) wrt d.
-10
Suppose -5*l = -5, y - l + 4 - 3 = 0. Let k(d) be the second derivative of -3*d + 0 + 1/15*d**6 + y*d**3 + 0*d**5 + 0*d**4 - 1/2*d**2. Differentiate k(f) wrt f.
8*f**3
Let l(w) = -6*w**3 + 3*w**2 + 4*w. Let x(i) = -i**3 + i**2. Let m(o) = l(o) - 3*x(o). What is the second derivative of m(b) wrt b?
-18*b
Let r(w) = 2*w**3 + w - 2. Let l(z) = z**4 - 5*z**3 - z + 5. Suppose -5*v + 20 = -5. Let i(c) = v*r(c) + 2*l(c). What is the second derivative of i(t) wrt t?
24*t**2
Suppose -2*s - 6 + 14 = 0. Find the third derivative of 3 - 3*q**2 - q**3 + s*q**2 - 3 wrt q.
-6
Differentiate -7 - 13 + 12*z**3 - 23*z**3 wrt z.
-33*z**2
Suppose g = -3*g + 56. Suppose 0 = 3*b - 8 - 4, 2*b - g = -2*p. What is the second derivative of -l - 3 + l**2 + p wrt l?
2
Let p(m) = -m**3 - m**2 + m. Let s(i) = -i**3 + 2*i**2 - 5*i. Let u be 12/(-8)*12/9. Let f(n)