 derivative of t(f) wrt f.
408*f
Let r(j) be the second derivative of -5*j**3/2 + 9*j**2 - 25*j. What is the derivative of r(h) wrt h?
-15
Let y(u) be the first derivative of u**5/5 - 5*u**2/2 + 6. What is the second derivative of y(p) wrt p?
12*p**2
Differentiate -4 - 31 - 46*j**2 - 1 with respect to j.
-92*j
Let l(a) be the second derivative of -13*a**4/12 + 7*a**3/6 + 7*a. Find the second derivative of l(q) wrt q.
-26
Suppose 7*t - 3*t - 20 = 0. Suppose t*z + 4 = 19. What is the second derivative of 0*x**3 - 2*x**z + x - 3*x wrt x?
-12*x
Let p(x) be the third derivative of x**6/30 - x**5/20 + 8*x**2. What is the third derivative of p(c) wrt c?
24
Let y be (-9)/6*(-8)/6. What is the derivative of -2*v**y + 2 + 6*v - 4*v - 2*v wrt v?
-4*v
Let z(s) = 2*s + 1. Let r be z(1). Suppose -2*p + r*p - 4 = 0. Find the second derivative of 49 - 49 - n**4 - p*n wrt n.
-12*n**2
Let x(h) = 4*h**2 - 9. Suppose 5*w = n - 37, -2*w - 5*n = -3*w - 17. Let l(t) = 5*t**2 - 10. Let f(y) = w*x(y) + 6*l(y). Differentiate f(s) wrt s.
4*s
Suppose -2*g + 2 + 2 = 0. What is the first derivative of 2*f**2 - g*f**2 + 2 + 3*f**4 wrt f?
12*f**3
Let z(b) = 37*b**2 - 49*b + 17. Let v(g) = 12*g**2 - 16*g + 6. Let s(p) = 17*v(p) - 6*z(p). What is the second derivative of s(w) wrt w?
-36
Suppose 8 = 4*z + 2*k - 2, -z + 3*k - 15 = 0. Let u(h) be the second derivative of -1/4*h**4 - h**2 + z*h**3 + 0 - 3*h. Differentiate u(l) with respect to l.
-6*l
Let z(k) = 20*k**2 - 10*k. Let f(b) = b**2. Let d(v) = -3*f(v) + z(v). What is the second derivative of d(w) wrt w?
34
Let z(d) = -6*d**4 + 3*d**2 - 12. Let l(p) = -p**4 - 1. Let s(b) = 12*l(b) - z(b). Find the third derivative of s(r) wrt r.
-144*r
Let o(z) be the second derivative of 0*z**3 + 0*z**7 + 0*z**5 + 1/4*z**4 + 0*z**2 - 1/56*z**8 + 0 + z + 0*z**6. What is the third derivative of o(q) wrt q?
-120*q**3
Let y(p) be the third derivative of -p**7/105 + 23*p**3/6 + 20*p**2. What is the derivative of y(t) wrt t?
-8*t**3
Let u(a) = a + 6. Let j(g) = -7 + 2*g + g - 4*g + 0*g. Let y(m) = 3*j(m) + 4*u(m). What is the derivative of y(r) wrt r?
1
Let u(s) = 25*s**3 + 2*s**2 + 9*s - 2. Let o(q) = -50*q**3 - 5*q**2 - 17*q + 5. Let p(w) = 2*o(w) + 5*u(w). What is the second derivative of p(f) wrt f?
150*f
Suppose -4*p + 3 = 5*k - 2*k, 2*p + 4*k + 6 = 0. Differentiate 5*h**p - 3 - 6*h**3 + 5*h**3 wrt h.
12*h**2
Let z(a) be the second derivative of -a**6/24 - a**4/8 + 3*a**2/2 - a. Let d(m) be the first derivative of z(m). Find the second derivative of d(s) wrt s.
-30*s
Find the second derivative of 2*b**4 - 4*b + 5*b**4 + 7*b - 4*b wrt b.
84*b**2
Find the third derivative of 18*v**2 + 11*v**4 + 3*v**4 + 7*v**2 wrt v.
336*v
Let d(f) = -f**2 - 2*f + 59. Let r(a) = 6*a**2 + 15*a - 411. Let k(w) = -15*d(w) - 2*r(w). Differentiate k(j) with respect to j.
6*j
Suppose 4*k - 144 = -48. Let c = 3 + 0. What is the third derivative of s**5 - c*s**2 + k*s - 24*s wrt s?
60*s**2
Suppose 4*b = -3*l + 34 - 11, 0 = -3*l - 5*b + 28. Let k(c) be the first derivative of l - 2*c - c**2 + c + 0. Differentiate k(f) wrt f.
-2
Let y(f) be the first derivative of -4/7*f**7 + 0*f**5 + 5 + 0*f + 1/3*f**3 + 0*f**2 + 0*f**6 + 0*f**4. Find the third derivative of y(g) wrt g.
-480*g**3
Let t(r) be the second derivative of -3*r + 0 - 1/4*r**4 - 1/2*r**2 + 0*r**3. What is the first derivative of t(n) wrt n?
-6*n
Let i(m) = 25*m**3 + 17*m - 55. Let l(y) = -4*y**3 - 3*y + 9. Let w(r) = 6*i(r) + 34*l(r). Differentiate w(s) wrt s.
42*s**2
Let b(p) = -4*p**3 - 13*p**2 - 5*p - 63. Let m(h) = 2*h**3 + 7*h**2 + 3*h + 32. Let a(g) = 4*b(g) + 7*m(g). What is the second derivative of a(f) wrt f?
-12*f - 6
Let i(z) be the third derivative of 19*z**7/70 - z**4/8 + 13*z**3/6 - 22*z**2 - 2*z. What is the second derivative of i(m) wrt m?
684*m**2
Let j(v) be the third derivative of 19*v**6/120 + v**5/30 - 4*v**2. Find the third derivative of j(m) wrt m.
114
Let u(m) be the third derivative of -2*m**5/5 + 13*m**3/6 - 21*m**2. Find the first derivative of u(n) wrt n.
-48*n
Let p(l) = -5*l**4 + 2*l**2 + 9*l. Let m(x) = -25*x**4 + 11*x**2 + 46*x. Let w = -9 - -7. Let a(b) = w*m(b) + 11*p(b). Find the second derivative of a(o) wrt o.
-60*o**2
Let k = -31 + 31. Let i(j) be the third derivative of k*j**4 + 0*j**3 + 0 - 1/60*j**6 + 0*j - 3*j**2 - 1/20*j**5. Find the third derivative of i(d) wrt d.
-12
Let m(c) be the second derivative of -4*c**3/3 + 2*c**2 - 38*c. What is the first derivative of m(t) wrt t?
-8
Let f = 11 - -3. Let q be 1/(f/6 + -2). What is the first derivative of -q - 2*t + 3 - 2*t - 3 wrt t?
-4
What is the second derivative of -62*z + 8*z**4 + 27*z + 25*z wrt z?
96*z**2
What is the second derivative of -50*k**4 - 37*k + 12*k + 15*k**4 wrt k?
-420*k**2
Suppose 5*w - w = 0. Let s = w - -3. Differentiate -5*r**3 - 2 + 2*r**s + 4 wrt r.
-9*r**2
Let q(v) = 4*v - 4 - 2 - 3. Let w(b) = 11*b - 26. Let p(y) = -17*q(y) + 6*w(y). Find the first derivative of p(m) wrt m.
-2
Let l(d) be the first derivative of -5*d**5 + 7*d**2 - 11. What is the second derivative of l(u) wrt u?
-300*u**2
What is the first derivative of 3*b**2 + 5*b**2 + 11*b**2 - 9 wrt b?
38*b
Let d = -6 - -4. Let b be 57/21 + d/(-7). Find the first derivative of -3*i**3 + b*i**3 - 2 + 5 + 2*i**3 wrt i.
6*i**2
Let y(q) be the third derivative of q**11/7920 + q**7/360 - q**4/8 - 3*q**2. Let c(u) be the second derivative of y(u). Find the third derivative of c(g) wrt g.
840*g**3
Suppose -10*i + 6*i - 3*j + 20 = 0, -5*j = -2*i + 10. Find the first derivative of -3*v + i - 3*v + 5*v - v wrt v.
-2
Find the first derivative of -127*x + 1 - 133*x + 16 + 256*x wrt x.
-4
Let o(a) be the first derivative of 4*a**3/3 + 7*a**2/2 + 10. Find the second derivative of o(x) wrt x.
8
Let b(j) = j**2 - 8*j**2 + 0*j - 4 + 5*j. Let x(i) = -8*i**2 + 6*i - 5. Let v(w) = 6*b(w) - 5*x(w). Differentiate v(m) wrt m.
-4*m
Let m(x) be the third derivative of x**5/5 + x**4/24 - 61*x**3/6 + 18*x**2. Differentiate m(f) with respect to f.
24*f + 1
Let b be ((0 - 4)*-1)/2. Suppose b*s + s = 0. Find the second derivative of -6*x + s*x**4 + x**4 + 5*x wrt x.
12*x**2
Let d(m) be the second derivative of m**7/504 + m**5/60 - m**4/6 - 3*m. Let c(w) be the third derivative of d(w). What is the derivative of c(k) wrt k?
10*k
Let p(t) = 21*t**3 - 9*t - 5. Let n(z) = 10*z**3 - 5*z - 2. Let s(f) = 5*n(f) - 2*p(f). What is the second derivative of s(b) wrt b?
48*b
Suppose -4*i - 2*m + 0*m = -30, 5*i - 2*m - 24 = 0. What is the second derivative of -3*k + 5*k**5 - i*k + 6*k wrt k?
100*k**3
Let f = 4 - 2. What is the second derivative of -18*q**2 - 4*q**5 + 2*q + 18*q**f + 5*q**5 wrt q?
20*q**3
Suppose 0 = -2*b - b. Suppose 0 = n - 2 - b. Find the third derivative of -5*c**2 + 4*c**2 - c**2 - n*c**6 wrt c.
-240*c**3
Let k(v) be the first derivative of -2*v**3 + 0*v**5 + 4/3*v**6 + 0*v**4 + 0*v + 0*v**2 + 6. Find the third derivative of k(z) wrt z.
480*z**2
Let j(s) be the first derivative of -11*s**5/5 + 3*s**3 + 11. Find the third derivative of j(q) wrt q.
-264*q
Let p = -10 + 14. Find the second derivative of -x + 1 - x - 1 - p*x**2 wrt x.
-8
Suppose 2*k = 9 - 1. What is the second derivative of 8*j + 107*j**4 - 56*j**k - 55*j**4 wrt j?
-48*j**2
Suppose -2*f + 40 = 2*f. Let c = f + -6. Find the first derivative of -3 - 2 + 2*l**4 + c wrt l.
8*l**3
Let n(b) be the third derivative of 0 - 1/20*b**5 + 0*b - 2*b**2 + 0*b**3 - 1/24*b**4. Find the second derivative of n(d) wrt d.
-6
Let i(z) be the third derivative of z**8/2520 - z**6/240 - 7*z**5/60 + 6*z**2. Let q(t) be the third derivative of i(t). Differentiate q(o) wrt o.
16*o
Let g be 10/(-5) + (-5)/(-1). What is the third derivative of 4*w**3 - 6*w**3 + g - 3 + w**2 wrt w?
-12
Let k(c) = -7*c**4 + 16*c + 3. Let z(a) = a**4 + a - 1. Let f(t) = -k(t) - 3*z(t). What is the second derivative of f(s) wrt s?
48*s**2
Suppose -2*i + 1 = -5. Let f(a) = -a**3 - a + 1. Let z(g) = -11*g**3 - 5*g + 3. Let d(m) = i*f(m) - z(m). What is the second derivative of d(t) wrt t?
48*t
What is the third derivative of -2 + 47*q**2 + 2 - 2*q**4 - 46*q**2 wrt q?
-48*q
Let a(k) = k + 1. Suppose -10 - 14 = -4*v. Let z(u) = -2*u - 2. Let g(s) = v*a(s) + 2*z(s). What is the derivative of g(b) wrt b?
2
Let u(a) be the second derivative of -1/3