 1. Let v(j) = -d(j) + 2*g(j). What is the first derivative of v(y) wrt y?
-30*y
Let i(g) be the third derivative of -5*g**8/168 - g**5/12 + 16*g**2. Find the third derivative of i(h) wrt h.
-600*h**2
Let a(i) be the first derivative of 0*i**4 - 3/5*i**5 + 0*i**3 + 4*i - 8 + 0*i**2. Differentiate a(u) wrt u.
-12*u**3
Let t(x) = -22*x**5 + x**4 + x**3 + 21*x**2. Let d(k) = k**5 - k**4 - k**3 - k**2. Let c(q) = -d(q) - t(q). What is the third derivative of c(i) wrt i?
1260*i**2
Let z(m) be the second derivative of -61*m**5/20 - m**4/4 + 8*m**3/3 + 23*m. What is the third derivative of z(g) wrt g?
-366
Let x(t) be the second derivative of t**8/28 + t**5/4 - 9*t**4/4 - 19*t + 2. Find the third derivative of x(c) wrt c.
240*c**3 + 30
Let h(a) be the second derivative of 1/3*a**3 + a - 3*a**2 + 0. Find the first derivative of h(w) wrt w.
2
Find the third derivative of 5*k**5 - 4 - 15*k**5 + 8*k**2 + 4 wrt k.
-600*k**2
Let z(p) be the third derivative of 0*p + 3*p**2 + 1/6*p**3 + 0 + 0*p**4 + 0*p**5 - 1/40*p**6. Differentiate z(y) wrt y.
-9*y**2
Let j(x) = x + 1. Let v be j(2). Suppose 3 = 3*o - v. Find the second derivative of -6*k + k**4 + 3*k**4 + o*k wrt k.
48*k**2
Let j(o) = -9*o**3 + 13*o + 6. Let p(m) = 10*m**3 - 12*m - 7. Let i(c) = 7*j(c) + 6*p(c). What is the second derivative of i(y) wrt y?
-18*y
Let x(z) be the first derivative of -5*z**3/3 - z**2/2 + 6. What is the second derivative of x(l) wrt l?
-10
Find the second derivative of x + 11*x**2 + 3*x**4 + 2*x**4 - 11*x**2 wrt x.
60*x**2
Let m(g) be the second derivative of 3*g + 0*g**2 + 0 - 1/6*g**3 + 1/6*g**4. Find the second derivative of m(j) wrt j.
4
Let k(r) be the first derivative of 3 + 0*r**4 - 2/5*r**5 + 0*r**2 + 2/3*r**3 + 0*r. Find the third derivative of k(f) wrt f.
-48*f
Suppose 2*v + 6 = -v. Let l be ((-20)/v)/(0 + 2). What is the second derivative of y + l*y**2 - 6*y**2 - 3*y wrt y?
-2
Suppose 2*j - 27 = w, 0 = -j + 6*j + 3*w - 62. Differentiate 10 - j*b + 4*b + 13*b with respect to b.
4
Let s(x) be the first derivative of 2*x**3 - 1/2*x**6 + 0*x + 5 + 0*x**2 + 0*x**4 + 0*x**5. Find the third derivative of s(y) wrt y.
-180*y**2
Let x(d) be the first derivative of d**5/5 + 5*d**3/6 + 8*d - 1. Let u(b) be the first derivative of x(b). Find the second derivative of u(r) wrt r.
24*r
Suppose -g = -4*g. Find the third derivative of -3*t**5 + 0*t**2 + g*t**5 + 2*t**2 wrt t.
-180*t**2
Let i be 0/((1/1)/1). What is the derivative of -3*h**2 + 1 + h**2 + i*h**2 wrt h?
-4*h
What is the third derivative of 139*f**6 - 124*f**6 + f**4 + 16*f**2 - f**4 wrt f?
1800*f**3
Let g(k) be the second derivative of k**9/2520 - k**6/120 - 5*k**4/12 + 5*k. Let t(j) be the third derivative of g(j). Find the second derivative of t(p) wrt p.
72*p**2
Let l(x) = x**3 - x + 5. Let u be l(0). Suppose 21 = -2*t + u*q, -3*t + 8*q - 3*q - 19 = 0. What is the derivative of 2 - 2 - s**4 - t wrt s?
-4*s**3
Let x(c) be the second derivative of -1/6*c**3 - 2/15*c**6 + 4*c + 0*c**2 + 0 + 0*c**5 + 0*c**4. Find the second derivative of x(h) wrt h.
-48*h**2
Let r = -11/6 + 7/3. Let j(m) be the first derivative of 0*m**4 - 2 + 0*m**5 - r*m**2 + 1/2*m**6 + 0*m + 0*m**3. What is the second derivative of j(s) wrt s?
60*s**3
Let v(p) be the second derivative of 0 + 1/6*p**3 + 0*p**2 - 1/6*p**4 + p. Find the second derivative of v(c) wrt c.
-4
Let h = -16 - -20. What is the derivative of 5*s**h - 5*s**4 + 0 - 2 - 2*s**4 wrt s?
-8*s**3
Let c(b) = 10*b**3 + 11*b**2 + 2. Let d(f) = 19*f**3 + 22*f**2 + 5. Let z(u) = -5*c(u) + 2*d(u). Find the third derivative of z(i) wrt i.
-72
Let r(u) be the first derivative of u**3/2 - 3*u**2/2 - 3*u + 4. Let c(d) be the first derivative of r(d). Differentiate c(b) wrt b.
3
Suppose 0 = 3*t - 3 - 3. What is the derivative of -23*y**3 + 23*y**3 - 4 - t - y**4 wrt y?
-4*y**3
Let g(q) be the second derivative of 3*q**7/14 + 7*q**4/6 + 23*q. What is the third derivative of g(r) wrt r?
540*r**2
Let r(p) = 19*p**4 - 15*p + 13. Let b(d) = -9*d**4 + 7*d - 6. Let h(x) = -13*b(x) - 6*r(x). Find the second derivative of h(g) wrt g.
36*g**2
Let r(g) be the second derivative of -g**6/2 + 7*g**3/3 + 12*g. What is the second derivative of r(u) wrt u?
-180*u**2
Let s be (-13)/(-3) - (-3)/(-9). What is the derivative of 9*q**s - 1 + 2 + 2 wrt q?
36*q**3
Let m(f) = 21*f + 83. Let n(b) = 14*b + 55. Let p(g) = 5*m(g) - 7*n(g). Find the first derivative of p(z) wrt z.
7
Suppose 5*d = 2*s + s + 14, s - 14 = -3*d. Find the first derivative of -4*o**2 + 0 + 4 + s*o**2 - 10 wrt o.
-4*o
Let d(w) be the third derivative of 0 + 0*w**5 + 0*w + 1/42*w**7 + 0*w**4 - 5/6*w**3 + 3*w**2 + 0*w**6. What is the derivative of d(q) wrt q?
20*q**3
Let v(i) be the third derivative of i**7/280 - i**4/12 + i**3/6 - 4*i**2. Let r(k) be the first derivative of v(k). Differentiate r(b) wrt b.
9*b**2
What is the third derivative of 12*u**2 + 10*u**6 + 43*u - 19*u - 24*u wrt u?
1200*u**3
Let r = -6 + 11. Let s(i) be the first derivative of 1/3*i**3 + 0*i**2 + 0*i**r + 0*i**4 - 1/7*i**7 + 0*i**6 + 2 + 0*i. Find the third derivative of s(m) wrt m.
-120*m**3
Let d(p) be the third derivative of 0 + 0*p**4 + 0*p + 1/30*p**5 - 3*p**2 + 1/3*p**3. Find the first derivative of d(s) wrt s.
4*s
Let d(r) be the first derivative of r**7/7 + 11*r**3/3 + 9. What is the third derivative of d(w) wrt w?
120*w**3
Let w(c) be the third derivative of -11*c**8/84 - 23*c**4/24 + 11*c**2. Find the second derivative of w(u) wrt u.
-880*u**3
What is the second derivative of 8*z - 3*z**4 + 8*z**2 - 10*z**2 + 2*z**2 wrt z?
-36*z**2
Let f(s) be the second derivative of -7*s**4/12 + s**2 - s. What is the first derivative of f(l) wrt l?
-14*l
Let c(r) be the second derivative of 0*r**6 + 0 + 1/3*r**3 + 0*r**5 - 4*r + 0*r**2 + 0*r**4 - 1/42*r**7. What is the second derivative of c(j) wrt j?
-20*j**3
Let v(l) = -l**2 - 1. Let x(c) = -4*c - 2 - 2 + c + 0*c**2 - 4*c**2 + c**3. Let u(n) = 4*v(n) - x(n). Find the second derivative of u(r) wrt r.
-6*r
Let a(x) = -5*x**3 + x**2 + x. Let u be a(-1). Let z(w) = -w + 1. Let y be z(-4). What is the second derivative of 2*l + 2*l**u - 3*l**y + 3*l**5 wrt l?
40*l**3
Let z(d) be the third derivative of -16*d**7/105 - d**6/120 + d**5/30 - 23*d**4/24 + d**2 + 12*d. Find the third derivative of z(l) wrt l.
-768*l - 6
Let n(m) = -32*m**3 + 23*m - 3. Let o(z) = 32*z**3 - 23*z + 4. Let u(q) = -4*n(q) - 3*o(q). Find the second derivative of u(c) wrt c.
192*c
Find the second derivative of 4*d**4 - 67*d + 28*d**5 + 2*d**4 - 6*d**4 wrt d.
560*d**3
Suppose -c + 6*c = 15. Find the second derivative of -4*y**c - y - 8 + 8 wrt y.
-24*y
Suppose 2*k = 6 + 2. Find the second derivative of -3*y**5 - 55*y**k - 5*y + 55*y**4 wrt y.
-60*y**3
Suppose 0 = 2*m - 2 - 2. Suppose -2*z = m - 6. Find the second derivative of 3*p - 2*p + p + p**z wrt p.
2
Let l(o) = o**2 + 7*o + 6. Let r be l(-6). Let m(d) be the first derivative of -1/2*d**4 + 0*d**2 + d**3 - 3 + r*d. Find the third derivative of m(t) wrt t.
-12
Let v(u) be the first derivative of -u**8/112 - u**4/24 + u**2 + 1. Let s(x) be the second derivative of v(x). What is the second derivative of s(w) wrt w?
-60*w**3
Let j(h) be the second derivative of -13*h**3/3 + 31*h**2/2 - 27*h. Find the first derivative of j(k) wrt k.
-26
Let d(c) = 57*c - 63. Let i(m) = -58*m + 64. Let a(u) = -2*d(u) - 3*i(u). What is the derivative of a(l) wrt l?
60
Let m(d) = 43*d**3 - 4*d**2 + 3*d + 3. Let g(q) = -44*q**3 + 5*q**2 - 4*q - 4. Let r(u) = 3*g(u) + 4*m(u). Find the third derivative of r(w) wrt w.
240
Let z(w) = -5*w - 3. Let i be z(-2). What is the first derivative of -6 + 2 + i + 3*o**2 - o**2 wrt o?
4*o
What is the third derivative of -937*r**3 + 937*r**3 - 24*r**6 - r**2 wrt r?
-2880*r**3
Suppose -3*i - 15 = -5*f, 5*f + 2*i + 2*i = 15. Find the second derivative of -5*g**3 - 3 + 10*g + 3 + 8*g**f wrt g.
18*g
Let g = -9 - -19. Let b = -6 + g. What is the first derivative of u**4 + u**b + 3 - 4*u**4 wrt u?
-8*u**3
Let w(f) be the first derivative of 0*f - 1/3*f**3 + 1/12*f**4 - 1 + f**2. Let x(r) be the second derivative of w(r). What is the derivative of x(t) wrt t?
2
Let y(j) = -11*j - 17. Let m(w) = 23*w + 36. Let p(v) = -3*m(v) - 5*y(v). Find the first derivative of p(t) wrt t.
-14
Let y(r) = -51*r**3 - 5*r*