 - (-2)/1). Let t = k + 7. Differentiate t + 4*h - h**4 - 2*h - 2*h with respect to h.
-4*h**3
Suppose -2*x + 3*y = -10, 3*x - 4*y = 4*x + 6. Let b(g) be the second derivative of g + x*g**2 + 0 + 0*g**3 + 1/6*g**4. Find the first derivative of b(s) wrt s.
4*s
What is the third derivative of 11*i**2 - 5*i**3 - 4*i**3 - 5*i**3 + 0*i**2 wrt i?
-84
Let i(v) = 4*v**2 - v - 2. Let t be i(-1). What is the third derivative of u**2 - u**3 + 2*u**3 + 9*u**4 - u**t wrt u?
216*u
Let r(t) be the third derivative of -t**6/120 - t**5/20 - 8*t**2. Find the third derivative of r(a) wrt a.
-6
Let w(k) = -2*k**3 + 6*k**2 + 2. Let o(a) = a**4 - a**3 + a**2 + 1. Let x(s) = 2*o(s) - w(s). Find the third derivative of x(p) wrt p.
48*p
What is the second derivative of -7*v**3 - 11*v - 236*v**2 + 236*v**2 - 11*v wrt v?
-42*v
Let g(v) be the third derivative of 0*v - v**2 + 1/12*v**4 + 0*v**3 + 0*v**6 + 0 + 0*v**5 + 1/105*v**7. What is the second derivative of g(x) wrt x?
24*x**2
Let s = -1 - -5. Let p(z) = -3 - s*z**2 - z - 4*z - z. Let l(b) = -9*b**2 - 13*b - 7. Let i(r) = -3*l(r) + 7*p(r). What is the second derivative of i(o) wrt o?
-2
Find the second derivative of -12*w**2 + 10*w + 41*w**2 - 20*w**2 wrt w.
18
Let l(c) = -3*c**4 - 3*c**2 - 2*c + 3*c + c. Let k(z) = -z**2. Let t = -9 - -6. Let s(v) = t*k(v) + l(v). Find the second derivative of s(x) wrt x.
-36*x**2
What is the third derivative of -3*h**2 + 11*h - 6*h - 3*h + 54*h**5 wrt h?
3240*h**2
Suppose 0 = 5*j - 0*j + 90. Let b be 1/(-4) - j/8. What is the derivative of 4*r**4 + r**4 - b*r**4 + 3 + 0*r**4 wrt r?
12*r**3
Let r(h) be the first derivative of -h**8/840 - h**6/120 - 2*h**3/3 + 2. Let g(i) be the third derivative of r(i). What is the third derivative of g(k) wrt k?
-48*k
What is the derivative of -m - 3*m + 34 + 24*m + 2*m wrt m?
22
Let p(t) be the third derivative of -11*t**9/504 + 11*t**5/60 + 9*t**2. Find the third derivative of p(z) wrt z.
-1320*z**3
What is the third derivative of 7*a**5 - 64*a**3 + 64*a**3 + 7*a**2 wrt a?
420*a**2
Suppose q - 1 = 2. What is the first derivative of 4*j + q - 2 + 1 + 1 wrt j?
4
Let b(s) be the third derivative of s**6/720 - s**5/24 - s**4/8 + 8*s**2. Let d(r) be the second derivative of b(r). What is the derivative of d(z) wrt z?
1
Let y(s) = -s**3 + s**2 + 1. Let f(q) = 32*q**4 + 6*q**3 - 6*q**2 - 13*q - 4. Let z(t) = f(t) + 4*y(t). Find the third derivative of z(a) wrt a.
768*a + 12
Let z(k) be the first derivative of k**7/840 + k**6/360 - k**3 + 3. Let p(u) be the third derivative of z(u). What is the third derivative of p(q) wrt q?
6
Let a(p) be the first derivative of 5*p**3/3 + 9*p**2/2 - 2*p + 3. Let m(x) be the first derivative of a(x). Differentiate m(i) with respect to i.
10
Let f(i) be the third derivative of -i**8/112 + i**5/15 - 6*i**2. Find the third derivative of f(y) wrt y.
-180*y**2
Let f(w) be the second derivative of 23*w**5/20 - 20*w**2 - 22*w. Differentiate f(l) wrt l.
69*l**2
Let f(i) be the first derivative of -i**7/280 + i**6/180 + i**3 + 2. Let y(j) be the third derivative of f(j). What is the third derivative of y(r) wrt r?
-18
Let a(q) = -q**2 - 1. Let t(r) = r**2. Let b be (-16)/(-4)*(-15)/12. Let w(k) = b*a(k) - 10*t(k). What is the first derivative of w(h) wrt h?
-10*h
Let m(k) be the second derivative of -k**4/24 - k**3/2 + 2*k**2 - 5*k. Let q(p) be the first derivative of m(p). What is the derivative of q(g) wrt g?
-1
Let r(v) = 2*v - 1. Suppose 3*h + d - 13 = 0, -2*h + 2*d = -0 + 2. Let k(l) = -l + 1. Let y(u) = h*k(u) + r(u). Differentiate y(w) wrt w.
-1
Let m be 6/27 - (-7)/9. Let f(c) be the first derivative of 0*c**3 - 2*c - 2/5*c**5 + 0*c**2 - m + 0*c**4. What is the derivative of f(p) wrt p?
-8*p**3
Let k(p) = 3*p**2 + 76*p + 8. Let h(u) = u**2 + 25*u + 3. Let l(n) = -8*h(n) + 3*k(n). What is the second derivative of l(z) wrt z?
2
Find the second derivative of 0*p**4 - 5*p + 3*p + 2*p**4 wrt p.
24*p**2
Let n(q) = -q**3 + 7*q**2 + 8. Let y be n(7). Let d = y + -5. What is the second derivative of -v + 4*v + 2*v**d - 2*v wrt v?
12*v
Let r(v) = v + 7. Let y be r(-8). Let x be 1/(4/(-6) - y). Differentiate -x*n**4 + 0*n + 0*n**4 + 0*n + 2 with respect to n.
-12*n**3
Let t(p) = 3*p - 4. Let w(q) = -4*q + 5. Let r(i) = 5*t(i) + 4*w(i). Let o(j) = -6*j**3 + 12*j + 3. Let m(v) = o(v) + 12*r(v). Differentiate m(l) wrt l.
-18*l**2
Let o(b) = -9*b**2 - 2*b + 6. Let d(h) = 10*h**2 + 3*h - 5. Let j(q) = -6*d(q) - 5*o(q). Find the second derivative of j(p) wrt p.
-30
Let s(u) be the third derivative of u**6/24 + 2*u**5/15 + 8*u**2. What is the third derivative of s(o) wrt o?
30
Let o(v) = -15*v**6 - 2*v**4 - 17*v**2 + 2. Let b(u) = 74*u**6 + 11*u**4 + 84*u**2 - 11. Let y(a) = -2*b(a) - 11*o(a). Find the third derivative of y(l) wrt l.
2040*l**3
Find the second derivative of -12*f - 8*f**2 - 10*f + 20*f wrt f.
-16
What is the second derivative of 2*p + 11*p - 3*p**3 + 4*p**3 - 7*p**3 wrt p?
-36*p
Let d(b) = b**3 + 0*b**2 + 0*b**2 + 0*b**2. Let q(h) = 6*h**3 - h**2. Let r(j) = 5*d(j) - q(j). What is the third derivative of r(u) wrt u?
-6
Let h(m) = m**3 + 3*m**2 - 4*m + 2. Let x be h(-4). Find the third derivative of 2*v**2 + v**2 - 4*v**4 - v**4 - x*v**2 wrt v.
-120*v
Let x be 3*2*2/3. What is the second derivative of -x*u**2 + 4*u**2 + u**5 + u wrt u?
20*u**3
Let r(t) be the second derivative of -t**4/12 + 5*t**2 + 7*t. Differentiate r(c) wrt c.
-2*c
Let p(q) be the first derivative of -q**9/504 - q**5/20 + q**2/2 + 2. Let i(d) be the second derivative of p(d). Find the third derivative of i(r) wrt r.
-120*r**3
Let a(h) be the second derivative of h**3/2 + 2*h**2 - 5*h. Differentiate a(v) wrt v.
3
What is the third derivative of 0*c**5 + 7*c**5 + 9*c**2 - 29*c**2 wrt c?
420*c**2
Let k(y) be the third derivative of 13*y**6/120 - 5*y**4/12 - 4*y**2. What is the second derivative of k(h) wrt h?
78*h
Differentiate -21 + 6 + 60 - 55*g**3 + 0 with respect to g.
-165*g**2
Let c(t) be the second derivative of -t**6/144 + t**5/120 - t**4/6 - t. Let r(i) be the third derivative of c(i). Differentiate r(u) with respect to u.
-5
Let s(h) be the second derivative of 3*h**5/10 + h**4/6 + 2*h. What is the third derivative of s(a) wrt a?
36
Find the third derivative of -5*l**6 + 0*l**2 - 2*l**2 + 6*l**2 + 4*l**2 wrt l.
-600*l**3
Let n(r) be the second derivative of -r**7/630 + r**6/360 - r**4/3 + 2*r. Let t(b) be the third derivative of n(b). What is the second derivative of t(d) wrt d?
-8
Let k(s) be the second derivative of 0*s**3 + 0 - 3/2*s**2 - 1/6*s**4 - s. Find the first derivative of k(q) wrt q.
-4*q
Let r(c) be the first derivative of -3 + 0*c**4 + 0*c**5 + 0*c + 0*c**3 - 3/2*c**6 - 5*c**2. Find the second derivative of r(t) wrt t.
-180*t**3
What is the second derivative of 30 - 3*x - 30 - 3*x**2 wrt x?
-6
Let x(h) be the third derivative of 1/6*h**4 + 0*h - 7/60*h**5 + 0 + 0*h**3 - 8*h**2. What is the second derivative of x(r) wrt r?
-14
Let q be 3/4 + (-2)/(-8). Differentiate 0*z - 2*z - q + 3 with respect to z.
-2
Let q(b) be the first derivative of 32*b**5/5 - 3*b**2 - 5. What is the second derivative of q(v) wrt v?
384*v**2
Find the second derivative of 3*a - 5*a - 3*a**3 - a**3 + 4*a wrt a.
-24*a
Let v(h) be the first derivative of h**3/3 - 5*h + 11. What is the first derivative of v(n) wrt n?
2*n
Suppose -3*n - 16 = n. Let g(s) = 5*s**2 + 17*s. Let k(i) = 3*i**2 + 9*i. Let h(q) = n*g(q) + 7*k(q). What is the second derivative of h(v) wrt v?
2
What is the third derivative of 4*w**2 - 8*w**6 + 4*w**6 - w**6 wrt w?
-600*w**3
Let l(i) = -i**4 + i**3 + i**2 - i - 1. Let s(g) = 9*g**4 + 3*g**3 - 20*g**2 - 3*g - 3. Let t(r) = 3*l(r) - s(r). What is the third derivative of t(w) wrt w?
-288*w
Let s(u) be the first derivative of -u**4/3 + u**3/2 + 2*u + 4. Let z(x) be the first derivative of s(x). What is the second derivative of z(r) wrt r?
-8
Let m(y) = -y**2 + 10*y - 7. Let t be (-8)/(-8)*9*1. Let v be m(t). What is the third derivative of 4*q**4 - 2*q**3 + 4*q**3 - 2*q**3 + 4*q**v wrt q?
96*q
Let f be ((-18)/16)/((-60)/80). Let m(o) be the second derivative of -f*o**2 + 2*o - 2/3*o**3 + 0. Find the first derivative of m(z) wrt z.
-4
Suppose 16 = 3*p - 8. Let j be 16/9 - p/(-36). What is the third derivative of -y**3 + 0*y**3 + j*y**2 + 0*y