ind the first derivative of s**2 - 3*s**2 - 7 - 2*s**2 + 1 wrt s.
-8*s
Let r(h) = 6*h + 4. Let t(v) = v. Suppose 0 = -o - 2*x + 9, 5*x - 28 = -o - 4. Let k(n) = o*r(n) + 3*t(n). Differentiate k(m) wrt m.
-3
Let a(g) = g**4 + 1. Let k(l) = 6*l**4 + l - 4. Let n(c) = 4*a(c) + k(c). Find the second derivative of n(u) wrt u.
120*u**2
Suppose 5*k - 1 = -5*a + 14, -k - 2 = 0. Find the third derivative of 5*v**2 - 3*v**a - 2*v**2 + 2*v**5 wrt v.
-60*v**2
Let q(s) be the second derivative of -s**10/720 - s**6/72 + s**3/3 + 4*s. Let z(a) be the second derivative of q(a). What is the third derivative of z(r) wrt r?
-840*r**3
Find the second derivative of 9 + f**5 - 13 + 4 - 21*f**3 + 38*f wrt f.
20*f**3 - 126*f
Let m(x) be the second derivative of -11*x**4/12 + 4*x**3/3 - 11*x. What is the second derivative of m(d) wrt d?
-22
Suppose -10 = -5*x - 0*x. Differentiate 2 - x*l**3 + 3*l**3 - l**3 + l**4 wrt l.
4*l**3
Let r = 9 + -7. Suppose 5 = m - r*o - 19, -5*o = -5. What is the third derivative of -2*b**6 - m*b**4 - 4*b**2 + 26*b**4 wrt b?
-240*b**3
Let v(t) be the first derivative of -t**4/2 - t**3 - 4*t + 6. Let w(z) be the first derivative of v(z). Find the second derivative of w(c) wrt c.
-12
Suppose k + 28 = -4*w, -3*w - 13 = 4*k + 34. Let z = k + 10. What is the third derivative of 4*q**4 - q**z - 3*q**4 - 3*q**2 wrt q?
24*q
Let y = 36 + -33. Let c(p) be the second derivative of 0*p**2 + y*p + 0*p**4 - 1/10*p**5 + 0 + 1/2*p**3. What is the second derivative of c(r) wrt r?
-12*r
Let y(c) = -5*c**4 - 3*c**3 + 3*c**2 - 4*c + 3. Let u(z) = z**3 - z**2 - z - 1. Let s(d) = 3*u(d) + y(d). What is the second derivative of s(m) wrt m?
-60*m**2
Let j be 0 + (36 - 1) + 0. What is the third derivative of 35*n**3 + 2*n**2 + 5*n**4 - j*n**3 wrt n?
120*n
Let c(x) = x**2 - x - 1. Let j(h) = -4*h**2 + 9*h + 1. Suppose -12*i + 8*i - 4 = 0. Let s(r) = i*c(r) - j(r). Find the second derivative of s(a) wrt a.
6
Let f(o) = -22*o**3 - 5*o**2 + 30*o - 5. Let d(b) = 11*b**3 + 3*b**2 - 15*b + 3. Let y(w) = 5*d(w) + 3*f(w). What is the second derivative of y(l) wrt l?
-66*l
Let v(y) be the first derivative of -y**4/3 + y**3/3 - 4*y**2 + 4. Let n(q) be the second derivative of v(q). Find the first derivative of n(h) wrt h.
-8
Let i(u) = 12*u**4 + 8*u**2 + 8*u + 39. Let q(f) = 8*f**4 + 5*f**2 + 5*f + 26. Let k(v) = -5*i(v) + 8*q(v). What is the first derivative of k(c) wrt c?
16*c**3
Let c(f) be the first derivative of f**7/210 - f**3/3 + 3*f**2/2 + 1. Let x(j) be the second derivative of c(j). What is the derivative of x(r) wrt r?
4*r**3
Let j(c) = -c**3 + 6*c**2 - 5*c + 2. Let r be j(5). Let g be (1 - 0)/(r/6). Find the third derivative of -2*k**3 + 3 - g + 3*k**2 wrt k.
-12
Let o(k) be the first derivative of -k**4 - 2*k**3 + 7. What is the third derivative of o(a) wrt a?
-24
Suppose -3*r - 2 = -5. Find the second derivative of 2*c**2 - 2*c - c**2 + 1 - r wrt c.
2
Let y(b) = -1. Let k(i) = -49*i**3 + 40*i + 2. Let q(n) = k(n) + 2*y(n). What is the second derivative of q(t) wrt t?
-294*t
Let q(s) be the third derivative of s**7/105 + s**4/3 + 2*s**2. What is the second derivative of q(k) wrt k?
24*k**2
Let g(d) = -33*d**4 - 13*d**3 + 29*d + 13. Let i(n) = -17*n**4 - 6*n**3 + 15*n + 6. Let k(b) = -6*g(b) + 13*i(b). What is the second derivative of k(z) wrt z?
-276*z**2
Let d be (-3)/(-12) - 15/(-4). Suppose -v = -4*q - 4*v + 11, d*q - v = 7. Find the first derivative of -p - 4*p - q + 4*p wrt p.
-1
Let m(b) = 19*b**5 + 5*b**4 - 23*b**2 + 5. Let i(h) = h**4 - h**2 + 1. Let s(v) = -10*i(v) + 2*m(v). Find the third derivative of s(g) wrt g.
2280*g**2
What is the second derivative of 429*j**3 + 4*j**5 + 8*j - 429*j**3 wrt j?
80*j**3
What is the second derivative of -7*w + 2*w**2 - 2*w + 2*w**2 - 2*w wrt w?
8
Suppose -2*w - 3*w - 2*c + 14 = 0, 2*w - 2*c = 0. Let r = 3 + w. Find the second derivative of 5*t**2 - r*t**2 + t - 2*t**2 wrt t.
-4
Let m(l) be the first derivative of -l**3/3 - 9*l**2/2 - l + 30. Find the second derivative of m(q) wrt q.
-2
Let r(v) be the first derivative of 0*v**4 + 1/3*v**6 - 7/2*v**2 + 0*v**5 + 0*v + 0*v**3 + 4. Find the second derivative of r(q) wrt q.
40*q**3
Let l(w) = w**2 - 4. Let f(j) = -j**2 - 1. Suppose -p = 4*y + 6, -3*p + 5*y - 2 = y. Let b(v) = p*f(v) + l(v). What is the derivative of b(x) wrt x?
6*x
Suppose 5*v + 24 = 2*o, 6*o - 2 = o - 2*v. Suppose 0 = i - 4*j - 25, o*j = -i - 3 - 2. Find the third derivative of i*m**2 - 2*m**2 + 5*m**5 - 2*m**5 wrt m.
180*m**2
Let b = 8 + -16. Let f(z) = z**3 + 9*z**2 + 7*z - 5. Let y be f(b). What is the third derivative of 3*j**2 - y*j**5 - 5*j**3 + 5*j**3 wrt j?
-180*j**2
Find the third derivative of -4*q**3 - 6*q**2 - 3 - 4 + 7 wrt q.
-24
Let t = -2 + 4. Suppose -2 = -3*x + t*x. Find the third derivative of -5*f**x - 2*f**5 + 4*f**2 + 4*f**5 wrt f.
120*f**2
Let c(h) be the second derivative of -3*h**5/4 - 9*h**4/4 - h**3/3 + 55*h. What is the third derivative of c(w) wrt w?
-90
Let z(t) = 3*t**3 + 3*t**2 - 9*t. Let k(y) = y**2 + y**3 + 15 - 4*y - 15. Let w(f) = -9*k(f) + 4*z(f). What is the third derivative of w(v) wrt v?
18
Let r(b) = b. Let h(i) = -i + 13. Let l(m) = -h(m) - 2*r(m). Let v be l(-13). What is the second derivative of 3 + v - 3*a**3 - 3 + 4*a wrt a?
-18*a
What is the second derivative of -3*z**3 - 60 + 60 + 10*z wrt z?
-18*z
Suppose 2*r + 2 = 2*k, -1 = -k + r - 3*r. Differentiate -j**3 + k + 6*j**3 + 0*j**3 wrt j.
15*j**2
Let z be (2 + 1)/(12/8). Find the third derivative of 3*j**3 - j**z + 1 - 1 - j**2 wrt j.
18
Let l(z) = -z. Let s be l(-2). Let f be 30/(-9)*6/(-4). Find the third derivative of k**s - k**4 - 2*k**f + k**4 wrt k.
-120*k**2
Let d(y) be the third derivative of 0*y - 1/70*y**7 + 0*y**5 + 0*y**6 + 0*y**3 - 1/6*y**4 + 0 - y**2. Find the second derivative of d(k) wrt k.
-36*k**2
Let n(y) = 3*y**2 + y + 1. Let m(g) = g**3 - 7*g**2 - 7*g - 9. Let v be m(8). Let u be n(v). Find the second derivative of u*t**2 - 4*t**2 + 0*t + 2*t wrt t.
-2
Let n be (1/(-2))/(2/(-8)). What is the second derivative of n*w**2 + 0*w - 2*w**2 + 3*w**5 - 2*w wrt w?
60*w**3
Let v(l) = 5*l**2 - l + 1. Let t be v(1). Suppose -t*y + 12 + 3 = 0. What is the second derivative of -3*o - 2*o**y + 3*o**3 + 2*o**3 wrt o?
18*o
Let x(k) be the third derivative of -11*k**8/336 + 17*k**4/24 + 5*k**2. What is the second derivative of x(w) wrt w?
-220*w**3
Suppose b + 3*l - 12 = 0, -2*b + l + 4 = -b. What is the third derivative of -15*u**4 - 6*u**2 + 15*u**4 + 6*u**b wrt u?
720*u**3
Let y(v) be the first derivative of -v**8/1680 + v**5/120 - 2*v**3/3 - 1. Let s(i) be the third derivative of y(i). What is the second derivative of s(u) wrt u?
-12*u**2
Let o(b) = 11*b**2 - 1. Let p = 16 - -1. Let y(r) = -4*r**2. Let a(u) = p*y(u) + 6*o(u). Find the first derivative of a(d) wrt d.
-4*d
Let t(q) = 7*q**4 + 4*q**2 - 6*q - 6. Let v(c) = -c**2 + c + 1. Let u(n) = -t(n) - 6*v(n). What is the third derivative of u(k) wrt k?
-168*k
Let o(r) = 9*r**4 - 8*r**2 + 8*r + 69. Let g(a) = 3*a**4 - 3*a**2 + 3*a + 23. Let q(d) = -8*g(d) + 3*o(d). Differentiate q(w) with respect to w.
12*w**3
Let h(s) be the third derivative of -s**5/6 + s**4/24 + 2*s**2. What is the second derivative of h(x) wrt x?
-20
Let u(c) = -10*c**2 + 3*c. Let o(d) = d**2 + d. Let s be 15/(-20) + (-14)/(-8). Let g(y) = s*u(y) + 3*o(y). Find the second derivative of g(b) wrt b.
-14
Let g(w) be the third derivative of -w**8/336 + 13*w**5/60 + 5*w**4/8 + 3*w**2 + 16. What is the second derivative of g(k) wrt k?
-20*k**3 + 26
Let x(c) = 2*c - 2. Let b(g) = -g + 2. Let w(k) = 3*b(k) + 2*x(k). Find the first derivative of w(p) wrt p.
1
Suppose -5*b - 25 = -5*a, 2*a = -b - 2*b + 15. Let f = a + -4. Differentiate 0 + 1 + h**f + 0*h**2 with respect to h.
2*h
Let h = -3 + 2. Let t(o) = -o**2 + o. Let j(p) = p**2 - 4*p + 1. Let f(m) = h*j(m) - 4*t(m). Differentiate f(i) wrt i.
6*i
Let u(r) be the first derivative of -13*r**4/4 - 4*r**3/3 - 14. What is the third derivative of u(f) wrt f?
-78
Let p = 12 - 7. What is the third derivative of 3*x**5 + 0*x**2 + 6*x**2 + 2*x**p wrt x?
300*x**2
Let b(s) = -40*s**4 - 12*s**2 + 42*s + 12. Let l(n) = 16*n**4 + 5*n**2 - 17*n - 5. Let y(a) = 5*b(a) + 12*l(a). Find the second derivative of y(f) wrt f.
-96*f**2
Let u(n) = n**3 - n**2