t derivative of z(m) wrt m.
-9*m**2
Find the second derivative of -6*m**2 - 2*m - 5*m + 0*m**2 wrt m.
-12
Suppose -36 = -2*b - 32. Let j(q) be the third derivative of 0*q - 1/12*q**4 + b*q**2 - 1/2*q**3 + 0. What is the derivative of j(a) wrt a?
-2
What is the derivative of -9 + 7*r**3 - 18*r**3 - 6 wrt r?
-33*r**2
Let u(i) be the first derivative of -21*i**2/2 + 4*i + 7. What is the first derivative of u(l) wrt l?
-21
Let j(f) be the first derivative of 4*f**4 - 25*f**2/2 + 22. What is the second derivative of j(g) wrt g?
96*g
Let p(b) be the third derivative of 3*b**8/28 + 13*b**4/12 + 23*b**2. Find the second derivative of p(f) wrt f.
720*f**3
Let b(o) be the first derivative of 7*o**3 + 31*o - 24. Find the first derivative of b(g) wrt g.
42*g
Let y(d) be the first derivative of 0*d**3 + 2*d + 0*d**2 + 3/2*d**4 - 3. Differentiate y(w) with respect to w.
18*w**2
Let f(v) = -v**3 - 2*v**2 + 8*v + 1. Let j be f(-4). Suppose -5*n = -2*n - 3. Differentiate -n + o - 2 - j with respect to o.
1
Let k(g) be the second derivative of -7/12*g**4 + 5*g + 0 + 0*g**2 - 2/5*g**5 + 0*g**3. What is the third derivative of k(w) wrt w?
-48
Let x(t) = -9*t**4 + 5*t**2 - 2*t. Let q(k) = -28*k**4 + 15*k**2 - 7*k. Let z(n) = -6*q(n) + 21*x(n). Find the third derivative of z(h) wrt h.
-504*h
Let q(f) = f + 9. Let x be q(-7). Suppose x*a + 0*a = 0. What is the second derivative of -4*z**2 + 2*z**2 + a*z**2 + 0*z**2 + 3*z wrt z?
-4
Let z be -9 - -1 - (-4)/2. Let o be (6/9)/((-2)/z). What is the derivative of -3 + 2 + 2 - o*y wrt y?
-2
Let t(n) be the first derivative of 7*n**3 + 3*n**2 - 15. What is the second derivative of t(l) wrt l?
42
Let g be 48/20 - (-6)/(-15). What is the third derivative of f**4 - 16*f + f**g + 16*f wrt f?
24*f
Let j(q) = -2*q**3. Suppose -2*s = 14 - 4. Let z(i) = -2*i**2 - 4*i**2 + 3*i**3 + 5*i**2. Let v(o) = s*j(o) - 3*z(o). Find the third derivative of v(w) wrt w.
6
Suppose 4 = 2*j + 3*f, -3*j + 5*f - 3*f = -6. Let h = 8 - 6. Differentiate h*a**j - a**2 + 2 + 0*a**2 with respect to a.
2*a
Suppose -14 = -5*y - 2*n, y + 2*y - 5*n + 4 = 0. Suppose -y*k - 5*b = -b - 10, -4*b = -4*k + 8. Differentiate -3 + p**3 + 1 + k wrt p.
3*p**2
Let v be 20*(-2 + (-24)/(-10)). Let w = 9 - v. What is the derivative of 0*t**3 - t**3 - w + 2 wrt t?
-3*t**2
Let a(i) = 20*i**3 - 6*i + 8. Let p(j) = 13*j**3 - 4*j + 5. Let w(k) = -5*a(k) + 8*p(k). What is the second derivative of w(c) wrt c?
24*c
Let l(m) be the first derivative of 0*m**5 + 0*m**3 - m**2 + 1/6*m**6 + 1 + 0*m**4 + 0*m. What is the second derivative of l(r) wrt r?
20*r**3
Let u be 2/(-8) - (-42)/8. What is the derivative of 0 - 2*p - u + 3 wrt p?
-2
Let a(u) = -u**2 + 10*u - 12. Let x be a(8). Find the first derivative of -2*j**4 + j**4 + 12 - 6 - 6*j**x wrt j.
-28*j**3
Suppose -2*j - 1 = 2*t - j, 0 = t + 2*j + 5. Let d be 18*1*t/3. Find the third derivative of 4*m**2 - 2*m**6 + m**d - 2*m**2 + m**2 wrt m.
-120*m**3
Let x(w) be the first derivative of -25*w**2/2 + 17*w - 29. Differentiate x(s) with respect to s.
-25
Let y(k) = k**3 - k**2 + k. Let c(z) = -15*z**3 + 3*z**2 - 3*z + 8. Let g(r) = c(r) + 3*y(r). What is the derivative of g(j) wrt j?
-36*j**2
Let k(u) = -u**2 - 18*u + 19. Let p be k(-19). Let y(n) be the first derivative of 0*n - n**4 - 2/3*n**3 + p*n**2 - 1. Find the third derivative of y(w) wrt w.
-24
Let m(g) be the second derivative of 0 + 0*g**4 + 6*g + 0*g**2 + 3/20*g**5 - 1/3*g**3. What is the second derivative of m(t) wrt t?
18*t
Let u(k) be the first derivative of -5*k**4/24 + 2*k**3/3 - 3*k**2/2 - 5. Let c(s) be the second derivative of u(s). What is the derivative of c(b) wrt b?
-5
Suppose 3 = 3*l, 3*u - u = -3*l + 9. Suppose 3*c + 4 = 3*t + 2*c, 2*t - 10 = -u*c. What is the first derivative of 1 - 3*k**2 + k**2 + k**2 - 2*k**t wrt k?
-6*k
Suppose -4*o + 3*y = -5, 0 = 3*o - 2*o - y - 1. Let b = 6 - 6. Differentiate c + c + b*c + o with respect to c.
2
Suppose -2*i + 4 = -3*i. Let u be 8/(-10)*10/i. What is the derivative of -o**u + 5 - 1 - 2 wrt o?
-2*o
Let m(y) be the second derivative of y**8/8 + y**4/2 - y. Find the third derivative of m(u) wrt u.
840*u**3
Let k(l) be the first derivative of l**8/56 + l**4/4 - 3*l - 3. Let c(a) be the first derivative of k(a). Find the third derivative of c(x) wrt x.
120*x**3
Let c(t) be the third derivative of -t**5/40 + t**4/24 + t**3/3 + 3*t**2. Let r(f) be the first derivative of c(f). Find the first derivative of r(y) wrt y.
-3
What is the derivative of -n**2 + 7 - 14*n + 3 + 2*n**2 - 2*n**2 wrt n?
-2*n - 14
Let a(w) = -1. Let m(i) = -i**2 - 4. Let b(v) = -v**3 + 3*v**2 - 2*v + 2. Let t be b(2). Let z(o) = t*m(o) - 11*a(o). Differentiate z(f) wrt f.
-4*f
Let f(v) be the first derivative of -v**7/7 - 2*v**3/3 - 7. What is the third derivative of f(z) wrt z?
-120*z**3
Let r = 6 + -4. What is the third derivative of 5*p**5 + 0*p**2 - 2*p**2 + 0*p**r wrt p?
300*p**2
Suppose 0*k = -k + 1. Let j = k - -1. Find the first derivative of j + 2*i - 3 + 3 wrt i.
2
Let x(t) be the second derivative of 0*t**5 + 2/15*t**6 - t + 0*t**3 + 0 + 0*t**2 + 1/12*t**4. Find the third derivative of x(r) wrt r.
96*r
Suppose 0 = 2*m + m + 5*u - 11, -2*m = 2*u - 2. Let o be (-6)/m + 0/3. What is the third derivative of -c**o + c**3 - c**2 - 3*c**3 wrt c?
-12
Suppose 6*m = 2*m + 16. What is the first derivative of 4 - 5*h**2 - m - 3 wrt h?
-10*h
Find the second derivative of -5*h**4 + 4257*h**2 - 4257*h**2 - 20*h wrt h.
-60*h**2
Let t(h) = 2*h - 4. Let c be t(4). What is the second derivative of c*m - 3*m**2 - 3*m + 0*m**2 + 0*m**2 wrt m?
-6
Let s(v) be the third derivative of v**6/90 + v**4/24 + 2*v**3/3 - 3*v**2. Let j(f) be the first derivative of s(f). Differentiate j(y) with respect to y.
8*y
Let u(q) be the first derivative of 0*q + 1/4*q**4 + 1/3*q**3 - 2 + 0*q**2. Find the third derivative of u(m) wrt m.
6
What is the second derivative of 205*j**2 + 10*j**3 - 205*j**2 + 15*j wrt j?
60*j
Let u(f) be the first derivative of -2/5*f**5 + 0*f**3 + 0*f + 0*f**4 + 5/2*f**2 - 4. Find the second derivative of u(o) wrt o.
-24*o**2
Let m(b) be the third derivative of 1/30*b**5 + 0*b**6 + 0*b**3 - 1/70*b**7 + 0*b + 0*b**4 - 5*b**2 + 0. Find the third derivative of m(q) wrt q.
-72*q
Let u(l) be the second derivative of 1/10*l**5 + 0 + 4*l + 0*l**4 + 0*l**3 + l**2. Differentiate u(m) with respect to m.
6*m**2
Let d(r) be the second derivative of r**6/3 + 7*r**3/3 + 4*r. What is the second derivative of d(o) wrt o?
120*o**2
Let n(y) be the second derivative of 0*y**2 + 0 - 1/4*y**4 + 1/6*y**3 + y. What is the second derivative of n(v) wrt v?
-6
Let y(k) be the second derivative of -k**7/210 + 4*k**3/3 - 5*k**2/2 - 3*k. Let v(s) be the first derivative of y(s). What is the derivative of v(j) wrt j?
-4*j**3
Suppose -3*r = -0*r. Let b(w) = -w**2 + w + 2. Let q be b(r). Find the second derivative of 0*c**2 + 2*c + 0*c**q + 2*c**5 wrt c.
40*c**3
Let h(n) be the second derivative of 4*n - 2*n**2 + 0*n**3 + 0*n**4 + 0 + 3/20*n**5. Differentiate h(z) with respect to z.
9*z**2
Let m(d) = 3*d**2 + d - 1. Let r(p) = p**2 + p. Let j = -7 - -8. Let s(c) = j*m(c) - r(c). Differentiate s(o) wrt o.
4*o
Let s(q) be the first derivative of -q**3 + 5*q**2/2 + 1. What is the second derivative of s(v) wrt v?
-6
Suppose -14 = -2*s + s + 3*x, 4*x + 16 = 0. Find the second derivative of -l**2 - s*l + 5*l - 4*l**2 wrt l.
-10
Let t(y) = -6*y**3 + 3*y**2 - 3*y. Let i(p) = 5*p**3 - 2*p**2 + 2*p + 1. Let l(n) = 3*i(n) + 2*t(n). Find the first derivative of l(h) wrt h.
9*h**2
Let a = 11 - 10. Find the second derivative of b + a - 40*b**3 + 48*b**3 - 1 wrt b.
48*b
Let t(c) be the first derivative of -c**7/420 - c**5/24 + c**3/3 - 8. Let f(r) be the third derivative of t(r). What is the second derivative of f(q) wrt q?
-12*q
Let b(m) = 4*m + 2. Let g be b(-2). Let t(p) = p**2 + 5*p - 4. Let j be t(g). Find the first derivative of 0 + 2 + c**j + 0 wrt c.
2*c
Let r be (2 - 0) + -7 + 12. Let u(y) = -y**2 + 7*y + 2. Let h be u(r). What is the first derivative of 0*j**2 + j**2 + h*j**2 + 1 wrt j?
6*j
Let g(k) be the second derivative of 0*k**2 + 0*k**3 + k - 3/10*k**5 + 0 - 1/12*k**4. Find the third derivative of g(u) wrt u.
-36
Let v = 11 + 8. Let n = v - 9. Find the third derivative of -4*i**2 + i**5