 z(a) = -5*a - 1. Let f be z(-3). Suppose -f = 5*n - 39. What is the derivative of -6*w + 10*w - n + 0*w wrt w?
4
Let y(s) be the third derivative of 0*s**5 + 0 + 5*s**2 + 2/3*s**3 + 0*s**6 + 0*s + 0*s**4 - 2/105*s**7. What is the derivative of y(h) wrt h?
-16*h**3
Let i(s) be the first derivative of -7*s**4/2 - 10*s**3/3 - 12. What is the third derivative of i(x) wrt x?
-84
Let d(y) be the second derivative of -3*y**7/14 - y**3/6 - 9*y. Find the second derivative of d(a) wrt a.
-180*a**3
Suppose 3*x - 10 = d, 6*d + 8 = 2*x + 4*d. Find the third derivative of 0*a**2 + a**x + 0*a**2 - 3*a**2 wrt a.
6
Find the second derivative of -7*j - 4 + 1 + 6*j**5 + 3 wrt j.
120*j**3
Let p(f) be the second derivative of -f**8/2240 + f**5/60 - 3*f**4/4 + 7*f. Let b(i) be the third derivative of p(i). Differentiate b(n) with respect to n.
-9*n**2
Find the first derivative of 5 - 3 - 9 + 10*u**3 wrt u.
30*u**2
Let h = 3 + 0. Suppose 0 = k + 3*c + 3, 2*c + 0*c + 4 = 0. What is the first derivative of -h - 1 - 4*x + k wrt x?
-4
Let y(t) be the second derivative of -3*t**5/20 - t**4/12 + 3*t. Find the third derivative of y(r) wrt r.
-18
Let s(o) = -8*o**3 - 6*o - 2. Let p(y) = -16*y**3 - 13*y - 3. Let u(t) = 6*p(t) - 13*s(t). Differentiate u(m) with respect to m.
24*m**2
Suppose -2*d + 4*x - 12 = 0, -d - 5*x = -2*d - 18. Suppose 5*u = 10 - 0. Find the third derivative of 3*p**d + 0*p**2 + 3*p**5 - u*p**2 wrt p.
180*p**2
Let a(r) be the third derivative of r**6/120 - r**4/8 - 28*r**3/3 + 64*r**2. Find the first derivative of a(o) wrt o.
3*o**2 - 3
Let w(t) be the third derivative of 0*t**7 + 0*t - 5/336*t**8 + 0*t**6 + 0 + 0*t**5 + 2*t**2 - 1/6*t**4 + 0*t**3. What is the second derivative of w(c) wrt c?
-100*c**3
Let t(h) be the third derivative of -1/15*h**5 + 0*h + 0 - h**3 + 0*h**4 + 6*h**2. Find the first derivative of t(j) wrt j.
-8*j
Let u(a) be the second derivative of -11*a**7/21 + 17*a**3/6 - 8*a. What is the second derivative of u(y) wrt y?
-440*y**3
Let g(t) be the first derivative of -2*t**6/15 + t**4/2 + 4*t - 3. Let k(i) be the first derivative of g(i). What is the third derivative of k(s) wrt s?
-96*s
Differentiate -9*q**2 + 28 - 4*q**2 + 5*q**2 + 0*q**2 wrt q.
-16*q
Let h(b) = -11*b**2 + 1. Let a(p) be the second derivative of 7*p**4/4 - p**2 + 11*p. Let m(d) = -3*a(d) - 5*h(d). What is the derivative of m(c) wrt c?
-16*c
Let o(u) be the first derivative of -7*u**6/360 + 5*u**4/24 - 2*u**3 + 4. Let y(k) be the third derivative of o(k). Differentiate y(r) with respect to r.
-14*r
Suppose 0*m = 3*m. Suppose m = -o + 2*o - 5. Find the second derivative of 0*z + 0*z**5 + z - z**o wrt z.
-20*z**3
What is the third derivative of 288*a - 5*a**3 - 19*a**2 - 288*a wrt a?
-30
Let h(u) be the second derivative of u**7/105 - u**5/15 - 5*u**2/2 - 6*u. Let z(n) be the first derivative of h(n). Find the third derivative of z(l) wrt l.
48*l
Find the third derivative of 24*r**3 + 2*r**4 - 24*r**3 + 0*r**4 - 3*r**2 wrt r.
48*r
Let c be 2/8 + 3/(-12). Suppose -6*z + 5*z + 3 = c. What is the third derivative of -n**z + 2*n**2 - 3*n**3 + 2*n**3 wrt n?
-12
Let z(p) = 6*p - 1 - 7*p - 1. Suppose r = 2*r - 3*s, -2*s - 4 = -2*r. Let n(y) = -y - 1. Let q(o) = r*z(o) - 5*n(o). Differentiate q(m) with respect to m.
2
Let c(b) = b**3 + b. Suppose 0*o + o = 6. Let i(r) = -4*r**4 - 6*r**3 + 7*r**2 - 6*r. Let q(w) = o*c(w) + i(w). Find the third derivative of q(a) wrt a.
-96*a
Find the third derivative of 0*n**3 + 2*n**6 - 2*n**2 + 4*n**3 - 4*n**3 wrt n.
240*n**3
Let h(o) be the third derivative of -3*o**6/20 - 7*o**3/3 + 27*o**2. What is the derivative of h(r) wrt r?
-54*r**2
Let g be 6/9*3 - 2. Suppose -n + g*n = -5*d + 8, 3*n - d = 4. What is the second derivative of -5*r - 2 + 6*r - n*r**3 + 2 wrt r?
-12*r
Let i(d) = 8*d**3 - 5. Let b(s) = -7*s**3 + 5. Let z(c) = -4*b(c) - 3*i(c). What is the first derivative of z(m) wrt m?
12*m**2
Let r(i) be the first derivative of i**7/840 - i**5/30 + 5*i**3/3 - 4. Let o(q) be the third derivative of r(q). What is the second derivative of o(b) wrt b?
6*b
Let i(g) be the second derivative of -g**8/840 + g**5/30 + g**3/2 + 3*g. Let y(r) be the second derivative of i(r). Find the second derivative of y(f) wrt f.
-24*f**2
Let o(z) = -z**3 - 4*z**2 - 48*z + 85. Let b(h) = h**3 + 5*h**2 + 49*h - 87. Let r(x) = 4*b(x) + 5*o(x). What is the first derivative of r(t) wrt t?
-3*t**2 - 44
Let i(b) = 11*b**4 + 2*b**3 - 30*b. Let z(c) = -55*c**4 - 11*c**3 + 151*c. Let u(w) = -11*i(w) - 2*z(w). Find the second derivative of u(q) wrt q.
-132*q**2
Let s(r) be the first derivative of -r**9/1008 + r**6/360 + r**3 + 1. Let k(m) be the third derivative of s(m). What is the third derivative of k(l) wrt l?
-180*l**2
Let x = -19 + 10. Let t = x + 13. Differentiate t + 0 - 5 - 4*a wrt a.
-4
Let d(j) be the second derivative of 0*j**3 + 1/6*j**4 + 0 + j - j**2. What is the derivative of d(y) wrt y?
4*y
Let x(o) be the third derivative of 0 + 0*o**4 + 2/3*o**3 - 1/60*o**5 + 0*o + 6*o**2. Differentiate x(w) with respect to w.
-2*w
Let d = 2 + 3. Let v be (-4)/(-10) - 2/d. What is the derivative of v + 7*p**3 - 2 - 6*p**3 wrt p?
3*p**2
Find the second derivative of -k**3 + 10*k - 6*k + 9*k**4 + k**3 wrt k.
108*k**2
What is the derivative of 8 - 22 + 5*z**3 + 22*z**3 - 31 wrt z?
81*z**2
Let h(b) = -9*b**6 + 2*b**4 - 2*b**3 - 4*b**2 + 2*b. Let t(p) = -p**6 + p**4 - p**3 + p. Let u(s) = h(s) - 2*t(s). What is the third derivative of u(x) wrt x?
-840*x**3
Let p(r) be the first derivative of -4*r**3/3 + 3*r**2/2 + 3. Find the second derivative of p(g) wrt g.
-8
Let o(k) be the third derivative of 1/3*k**3 + 0*k + 1/15*k**5 + 0*k**4 + 3*k**2 + 0. Differentiate o(x) wrt x.
8*x
Let z(f) be the second derivative of -13*f**4/12 + 4*f**2 - 3*f. Differentiate z(o) with respect to o.
-26*o
Let c(m) be the first derivative of -3*m**4/2 - 2*m**2 - 6. What is the second derivative of c(h) wrt h?
-36*h
Let h(c) be the first derivative of 7*c**3/3 + 18*c + 20. Differentiate h(k) wrt k.
14*k
Let s(w) = -w**3 + w**2 - w + 1. Let b(k) = 14*k**3 + 5*k**2 - 5*k. Let j(m) = b(m) - 5*s(m). Differentiate j(l) with respect to l.
57*l**2
Suppose 35 = 4*z + z. Differentiate -9 + v + z + v wrt v.
2
Let k = 7 + -7. Suppose k = -3*u + 8 - 2. What is the second derivative of -h**3 - 2*h**2 + 0*h**u - 2*h + 2*h**2 wrt h?
-6*h
Suppose 4*r = 2*l + 18, -4*l + 1 = -3. What is the third derivative of 8*a**2 - 5*a**2 + a**5 + 0*a**r wrt a?
60*a**2
Let c(q) = q + 3. Let b be c(3). Find the second derivative of 5*k + 3*k**5 - 2*k**5 + b*k**5 wrt k.
140*k**3
Let y(n) = 27*n**4 - 7*n**2 + 4. Let v(a) = -14*a**4 + 4*a**2 - 2. Let h(b) = 7*v(b) + 4*y(b). What is the derivative of h(g) wrt g?
40*g**3
Suppose r = 3*r + 4. Let n = r + 4. Differentiate 4*s**2 - 5*s**n - 2*s**2 - 1 + 4 wrt s.
-6*s
Let f(t) be the first derivative of 0*t**5 + 0*t**6 - 3/7*t**7 + 0*t**4 - 1/3*t**3 - 1 + 0*t**2 + 0*t. Find the third derivative of f(g) wrt g.
-360*g**3
Let n(y) be the first derivative of 0*y**2 + 1/5*y**5 + 0*y**4 - 1/3*y**3 + 0*y + 2. What is the third derivative of n(s) wrt s?
24*s
Let j be 4/(-10) + 110/25. Find the third derivative of 5*l**j - l**2 - 3*l**4 - 3*l**4 + 4*l**2 wrt l.
-24*l
Let a(g) be the third derivative of 7*g**6/120 - g**5/60 - g**4/12 - 16*g**3/3 + 67*g**2. Find the second derivative of a(r) wrt r.
42*r - 2
Let l(b) be the first derivative of 0*b**4 + 0*b + 2/5*b**5 + 0*b**2 - 1 + 4/3*b**3. Find the third derivative of l(k) wrt k.
48*k
Let t be ((-16)/(-6))/((-8)/(-12)). Find the third derivative of t*a**5 + 4*a**2 + 2*a - 5*a + 3*a wrt a.
240*a**2
Suppose -2*v - 3*b = 3*v - 9, -5*v - b = -13. What is the second derivative of 3*o**v - 6*o**3 - 7*o + 8*o wrt o?
-18*o
Let r(j) = -2*j**4 - 5*j**2 - 7. Let k = 5 + -7. Let y(q) = 9*q - 9*q - 2*q**2 - 4 + 1 - q**4. Let l(m) = k*r(m) + 5*y(m). Differentiate l(z) wrt z.
-4*z**3
Let m = 15 - 12. Let w(y) = -y**2 + 5*y + 14. Let b(k) = -k**2 + 3*k + 7. Let j(f) = m*w(f) - 5*b(f). What is the derivative of j(x) wrt x?
4*x
Let p(h) be the first derivative of 0*h**4 + 4/5*h**5 - 1 + 0*h**3 + 4*h + 0*h**2. What is the first derivative of p(t) wrt t?
16*t**3
Let g(r) be the second derivative of -1/6*r**3 + 0*r**2 + 0*r**5 + 0*r**4 + 1/30*r**6 - r + 0. Find the