8*a**3
Let t(v) = -11*v + 19. Let p(s) = -6*s + 10. Let f(m) = 5*p(m) - 3*t(m). Differentiate f(x) wrt x.
3
Let v(y) = -7*y - 1. Let j be v(-1). Let r be j/(-4)*(0 - 2). What is the third derivative of -3 - 2*x**2 + r - 2*x**3 wrt x?
-12
Let o(v) = 7*v**2 + 6*v - 8. Let r be o(4). What is the second derivative of 3*p**5 - 8*p + r - 128 + 3*p**5 wrt p?
120*p**3
Suppose g = 4*s + 22, 0*g - s + 14 = 3*g. What is the second derivative of 5*a**3 - 14*a**3 + g*a**3 + 9*a - 3*a wrt a?
-18*a
Let q(z) = z**4 + z**2 - z - 1. Let x(b) = -6*b**4 + 5*b**2 + 3*b + 3. Let w(v) = -3*q(v) - x(v). What is the third derivative of w(p) wrt p?
72*p
Let a(z) = -z**3 + 4*z**2 + 4*z + 7. Suppose g + 5*h - 30 = 0, 4*g + g = -h + 30. Let c be a(g). Find the second derivative of 0*j - c*j**3 - j + 3*j wrt j.
-12*j
Let q(a) be the first derivative of 15*a**4/4 + 13*a**2/2 - 19. Find the second derivative of q(t) wrt t.
90*t
Suppose 3*h - 48 = -h. Find the first derivative of h + 3*k + 10 - 29 wrt k.
3
Let h(x) = 4*x - 4. Let d(u) = -2*u + 2. Let m = -10 + 6. Let l(q) = m*h(q) - 9*d(q). Differentiate l(j) with respect to j.
2
Let d(m) be the third derivative of -m**8/168 + m**4/6 + 5*m**2. What is the second derivative of d(u) wrt u?
-40*u**3
Suppose k - 2 = -0*k. What is the derivative of 0*s**3 - 16 + k*s**3 + 21 wrt s?
6*s**2
Let t(g) be the first derivative of 3*g**7/7 + g**3/3 - 9. Find the third derivative of t(z) wrt z.
360*z**3
Let p(q) be the first derivative of -q**6/6 - 3*q**5 + 9*q**3 + 1. Find the third derivative of p(i) wrt i.
-60*i**2 - 360*i
Let k(q) be the second derivative of 0 + 0*q**5 - 1/15*q**6 + 0*q**4 - 7/6*q**3 - 8*q + 0*q**2. Find the second derivative of k(w) wrt w.
-24*w**2
Let m(w) be the first derivative of -w**2 + 6*w**2 - 6*w**2 + 3*w - 3. What is the first derivative of m(n) wrt n?
-2
Let n(m) be the second derivative of 0*m**5 + 0*m**3 + m - 1/6*m**6 - m**2 + 0 + 0*m**4. Find the first derivative of n(z) wrt z.
-20*z**3
Suppose -4*d - 2*y = -22, 3*d - 5*y = -1 - 2. Let q = -6 - -9. Differentiate q*b**d - 2 - b**4 + 2 + 1 with respect to b.
8*b**3
Let d(f) = -6*f**3 + 5*f + 4. Let j(s) = -6*s**3 + 5*s + 5. Let i(v) = -5*d(v) + 4*j(v). Find the second derivative of i(p) wrt p.
36*p
Let y(z) be the third derivative of z**9/3024 - z**5/30 + z**4/24 + 2*z**2. Let q(w) be the second derivative of y(w). Differentiate q(s) with respect to s.
20*s**3
Let h(n) be the third derivative of 1/60*n**5 + 0*n**3 + 0 + 0*n + 2*n**2 + 0*n**4 + 1/70*n**7 + 0*n**6. What is the third derivative of h(s) wrt s?
72*s
Let k(i) be the first derivative of -4*i**7/7 - i**3/3 + 7. What is the third derivative of k(d) wrt d?
-480*d**3
Let q(k) = 13*k**5 + k**4 + k**3 + 22*k + 1. Let y(r) = -r**4 - r**3 - r - 1. Let o(w) = -q(w) - y(w). What is the second derivative of o(a) wrt a?
-260*a**3
Let q(a) be the third derivative of -a**5/60 + 7*a**3/3 - 8*a**2. Find the first derivative of q(b) wrt b.
-2*b
Let i(x) be the second derivative of 0*x**2 + 1/21*x**7 - 2*x - 1/12*x**4 + 0*x**5 + 0 + 0*x**6 + 0*x**3. What is the third derivative of i(q) wrt q?
120*q**2
Let u(n) be the third derivative of 2*n**7/105 - 7*n**5/60 + 14*n**2. What is the third derivative of u(t) wrt t?
96*t
Let s(c) = 2*c - 4. Let o be s(3). Suppose -u = -2*u + 4. Differentiate 3*g**3 - o - 4*g**3 + u wrt g.
-3*g**2
Differentiate -n**3 - 3 + 21*n - 9*n - 12*n with respect to n.
-3*n**2
Let g(z) = -13*z**3 - 11*z**2 + 11*z + 7. Let x(h) = -4*h**3 - 4*h**2 + 4*h + 2. Let p(m) = -4*g(m) + 11*x(m). Differentiate p(l) with respect to l.
24*l**2
What is the derivative of 22 + 11 + 394*n**3 - 374*n**3 wrt n?
60*n**2
Let u(o) = -o**3 - o**2 - o + 3. Let l be u(0). What is the derivative of l*w + 4 - 2 + 2 wrt w?
3
Let w(m) be the third derivative of -m**7/280 + m**4/6 + 5*m**3/6 + 2*m**2. Let d(s) be the first derivative of w(s). Find the first derivative of d(h) wrt h.
-9*h**2
Let g(v) = 2*v**3 + 4*v**2 - 17*v + 52. Let n(l) = -l**3 - l**2 - l. Let x(k) = -g(k) - 4*n(k). Find the first derivative of x(d) wrt d.
6*d**2 + 21
Let g(n) be the first derivative of 48*n**5/5 + 51*n - 30. What is the derivative of g(s) wrt s?
192*s**3
Let t(g) be the third derivative of -g**7/105 + g**3/6 - g**2. Find the first derivative of t(y) wrt y.
-8*y**3
Let v(l) = -l. Let u(p) = 1. Let z = -5 - -2. Let y(r) = z*u(r) - v(r). Differentiate y(d) with respect to d.
1
What is the second derivative of -1 - 42*z - 5*z**2 + 9*z**3 - 1 + 3*z**2 + 1 wrt z?
54*z - 4
Suppose 0 = -0*i + 3*i - 6. What is the second derivative of o**5 + 3*o - i*o - 4*o**5 + 0*o**5 wrt o?
-60*o**3
Let v(i) be the first derivative of -2*i**3 - 3*i**2/2 - 2. What is the second derivative of v(d) wrt d?
-12
Suppose -4*s - 2 = v, 3*v + s = 7*v - 26. Find the third derivative of 5*g**2 + v*g**6 - 3 + 3 wrt g.
720*g**3
Let q(j) = -3*j**2 - 2*j - 1. Let z = 6 - 2. Let v(s) = s**2 + s - 1. Let c(a) = z*v(a) + 2*q(a). Differentiate c(g) with respect to g.
-4*g
Let m(a) be the second derivative of 5*a**7/42 + 5*a**4/6 + 12*a. What is the third derivative of m(v) wrt v?
300*v**2
What is the second derivative of -4*t + 0*t**2 - 7*t**2 + 3*t**2 - 3*t**2 wrt t?
-14
What is the third derivative of -8*d**2 + 8*d**6 - 13*d**2 - 18*d**6 wrt d?
-1200*d**3
Let m(q) = 23*q**2 - 10*q - 4. Let v(k) = 23*k**2 - 12*k - 3. Let s(r) = -3*m(r) + 4*v(r). What is the second derivative of s(h) wrt h?
46
Let p(q) = q - 6. Let t(x) = -x. Let s(a) = -p(a) + t(a). Differentiate s(f) wrt f.
-2
Let f(r) be the third derivative of r**6/10 - 4*r**5/15 + 22*r**2. What is the third derivative of f(x) wrt x?
72
Find the second derivative of -5*o**2 + 0*o**2 - 7*o + 3*o**2 - o**2 wrt o.
-6
What is the third derivative of -6*m**3 - 7*m + 0*m**3 + 7*m + m**2 wrt m?
-36
Suppose 2*v - 26 = -2*t, 4*t + 4 = 5*v - 2*v. Suppose q + 3 - v = -2*p, 3*p - 10 = -4*q. Find the second derivative of -5*k**3 + 2*k**3 + p*k - k**3 - k wrt k.
-24*k
Let m(l) = -l + 4. Let y be m(4). Suppose d + 0*d = y. What is the second derivative of d*f - 2*f + 3*f**4 - 5*f**4 wrt f?
-24*f**2
Let y(d) = 2*d**2 + 1. Let s be y(-1). Find the first derivative of -8*l - 2*l**3 + 8*l + l**s + 4 wrt l.
-3*l**2
Let s(w) be the first derivative of 5*w**9/3024 - w**6/45 + 2*w**3/3 - 6. Let j(y) be the third derivative of s(y). What is the third derivative of j(c) wrt c?
300*c**2
Let j = 16 + -10. Suppose -x + j = -0. Find the third derivative of -6*d**x + 4*d**6 - 3*d**2 + 5*d**6 wrt d.
360*d**3
Let l = 31 + -23. What is the second derivative of -5*d**2 + 8 + d + 2*d - l wrt d?
-10
Find the third derivative of 0*y**4 + 10*y**4 - y**4 + 5*y**2 wrt y.
216*y
Let q be 12/(-10)*(-45)/36. Let w(g) be the second derivative of 0 + 1/12*g**4 - q*g**2 - g + 0*g**3. What is the first derivative of w(f) wrt f?
2*f
Let h(l) = 5*l**3 - 4*l**2 - 3. Let n(t) = -24*t**3 + 20*t**2 + 16. Let j(m) = 16*h(m) + 3*n(m). What is the third derivative of j(q) wrt q?
48
Let q(d) be the second derivative of -13*d**5/20 - 11*d**3/6 - 14*d. What is the second derivative of q(v) wrt v?
-78*v
Let p(u) be the third derivative of -1/168*u**8 + 0*u**4 + 0*u**7 + 0*u**3 + 1/60*u**5 + 4*u**2 + 0 + 0*u**6 + 0*u. What is the third derivative of p(l) wrt l?
-120*l**2
Suppose -3*b - 3 = -2*n - 17, b = -n - 2. Find the third derivative of 10*m**3 + m**b - 2*m**3 - 2*m**2 - 3*m**3 wrt m.
30
Let y(x) be the third derivative of 7*x**4/24 - 17*x**3/6 - 17*x**2. Differentiate y(w) with respect to w.
7
Let p(v) = -4*v**3 - 6*v**2 + 2. Let z = 19 + -13. Let s(i) = -3*i**3 - 5*i**2 + 1. Let d(r) = z*s(r) - 5*p(r). What is the derivative of d(b) wrt b?
6*b**2
What is the third derivative of -12*n**3 + n**2 + 6*n**2 + 5*n**3 wrt n?
-42
Suppose 5*r - 6 = q + 6, 4*q + 12 = 2*r. What is the second derivative of 6*x + 141 - 9*x**r - 141 wrt x?
-18
Let z be ((0 - -2) + -1)*0. Let x(i) be the second derivative of -1/6*i**3 - 1/10*i**5 + 0 + 0*i**4 - 2*i + z*i**2. Find the second derivative of x(o) wrt o.
-12*o
Let w be -2 - (-4 + 9/(-3)). What is the third derivative of 2*h**5 - 7*h**5 - h**2 + 3*h**w wrt h?
-120*h**2
Let u(l) = -l. Let t(w) = 13*w + 6. Let f(q) = t(q) + 2*u(q). Differentiate f(c) with respect to c.
11
Find the second derivative of -6*w - 3 + 16*w - 8*w - 8*w - 21*w**4 wrt w.
-2