p wrt p.
-24*p**2
Let h be ((-6)/(-9))/(2/6). What is the second derivative of -h*r**4 + 3*r - 2*r**4 + 2*r wrt r?
-48*r**2
Let m = -6 + 8. What is the second derivative of v - m*v - 11*v**4 + 10*v**4 wrt v?
-12*v**2
Let y(w) be the second derivative of -7/6*w**3 + 0 - 5/12*w**4 + 0*w**2 + 5*w. Find the second derivative of y(o) wrt o.
-10
Find the third derivative of 7*l**2 + 27*l**5 - 41*l**5 + 37*l**5 wrt l.
1380*l**2
Let r(o) = o**3 - 6*o**2 + 5*o. Let b be r(5). Suppose 0 = -y - b*y + 2. What is the third derivative of l**4 - 3*l**y - 4*l**2 + 5*l**2 wrt l?
24*l
Let w = 5 + -3. Find the third derivative of 2*a**2 - 6*a**2 - 3*a**5 + 2*a**5 + 3*a**w wrt a.
-60*a**2
Let x(u) = 4*u - 3. Let r(n) = -3*n**2 + 4*n - 2. Let a be r(2). Let z(t) = -t + 1. Let j(i) = a*z(i) - x(i). Find the first derivative of j(p) wrt p.
2
Find the third derivative of 3*y**2 + 7*y**4 - 2*y**2 - 2*y**2 wrt y.
168*y
Find the second derivative of -55 + 33 - 54*d**3 - 35*d + 24 wrt d.
-324*d
Suppose 2*a - 6 = -2. Find the third derivative of -t**2 - 4*t**4 - 3*t**a + 2*t**2 wrt t.
-96*t
Let l = 1 + 3. Find the first derivative of -6 - m**4 + 5*m**4 + 0*m**l + 4 wrt m.
16*m**3
Let r(w) = -w**2 - 3 - 2*w + 4 + w. Let b(k) = 4*k**2 + 3*k - 2. Let v(q) = b(q) + 3*r(q). Differentiate v(l) with respect to l.
2*l
Let z(g) be the third derivative of g**6/60 + g**5/2 - g**4/12 + g**3/3 + 2*g**2 + 10. What is the second derivative of z(a) wrt a?
12*a + 60
Let v(o) be the first derivative of -o**9/756 - o**5/40 + o**3 + 1. Let z(r) be the third derivative of v(r). Find the second derivative of z(p) wrt p.
-80*p**3
Let m(i) be the first derivative of 2*i**3 - i**2 - 5. What is the second derivative of m(z) wrt z?
12
Suppose -2*w = 3*w - 15. Let y(h) = 9*h**4 - 5*h. Let r(v) = -5*v**4 + 2*v. Let d(m) = w*y(m) + 5*r(m). What is the second derivative of d(z) wrt z?
24*z**2
Let o = -59 + 64. Let v(t) be the second derivative of 1/10*t**o + 0*t**3 - 1/12*t**4 - t + 0 + 0*t**2. What is the third derivative of v(w) wrt w?
12
Let f(a) = 66*a**5 + 7*a**4 - 26*a**2 + 7*a. Let b(u) = 44*u**5 + 5*u**4 - 17*u**2 + 5*u. Let r(g) = -7*b(g) + 5*f(g). Find the third derivative of r(j) wrt j.
1320*j**2
Let i(k) be the first derivative of 6*k**3 + 28*k - 11. What is the first derivative of i(q) wrt q?
36*q
What is the second derivative of -27*o**4 - 15*o + 10*o**4 + 6*o**4 + 6*o wrt o?
-132*o**2
Let x(y) be the second derivative of -y + 0 + 0*y**2 + 1/6*y**4 + 1/2*y**3. What is the second derivative of x(k) wrt k?
4
Let m(o) be the third derivative of 4*o**5/15 + 19*o**4/24 - 16*o**2. Find the second derivative of m(u) wrt u.
32
Let k(h) = h**3 + 9*h**2 + 9*h + 8. Let v be k(-8). Suppose 2*l = -v*l + 24. Differentiate w**2 + 0*w - l + 11 + 0*w wrt w.
2*w
Let j(n) = -n**4 + n**3 - n - 1. Let k(g) = 17*g**4 - 4*g**3 + 4*g + 23. Let m(o) = 4*j(o) + k(o). What is the first derivative of m(x) wrt x?
52*x**3
Differentiate 3 - 26*j**2 + 52*j**3 + 8*j**2 + 18*j**2 + j wrt j.
156*j**2 + 1
Let j(b) be the third derivative of 0 + 0*b**5 + 1/40*b**6 - 3*b**2 + 0*b**4 + 1/2*b**3 + 0*b. Find the first derivative of j(r) wrt r.
9*r**2
Let g(h) be the first derivative of -5/3*h**3 - 4 + 4*h + 0*h**2. What is the derivative of g(s) wrt s?
-10*s
Let s(n) be the first derivative of -6/5*n**5 + 0*n**3 + 3 + 0*n**4 - n + 0*n**2. Find the first derivative of s(q) wrt q.
-24*q**3
Let v(g) = -g - 4. Let s be (-6)/(-2)*(-8)/3. Let d be v(s). What is the second derivative of -r**2 - 3*r + 2*r + 2*r - d*r wrt r?
-2
Let l = -47 + 97/2. Let j(n) be the second derivative of -l*n**2 + n + 0 + 1/2*n**3. Differentiate j(a) with respect to a.
3
Let l(n) be the third derivative of -1/24*n**4 + 2*n**2 + 0*n + 0*n**3 + 0 + 0*n**6 + 0*n**5 + 1/105*n**7. Find the second derivative of l(w) wrt w.
24*w**2
Suppose -q - 3*a - 4 = -3*q, q = 4*a - 3. Find the third derivative of q*k**3 + 0*k**2 - 3*k**3 + 4*k**2 + 0*k**2 wrt k.
12
Suppose -4 + 8 = r. Let y = r - 2. What is the third derivative of 0*d**2 - d**y + d**3 + 2*d**2 wrt d?
6
Let y(x) = -x**2 + 4*x + 3. Let w(o) = -o**2 + 3*o + 2. Suppose 0*c + 4*c = 12. Let q(b) = c*y(b) - 4*w(b). Differentiate q(p) wrt p.
2*p
Let k = 8 + -6. Find the second derivative of 3*j**2 - 2*j + 6*j - 2*j**k + j**2 wrt j.
4
Let b(l) = -l**2 + 1. Let n = -3 + 2. Let k be b(n). What is the third derivative of -3*r**2 - r**5 + k*r**2 + 2*r**2 wrt r?
-60*r**2
Let c(v) = v**2 + 1. Let u be 1 + 1 - 1 - -2. Let x(k) = 2*k**u + 1 + 5*k**2 + 4 - 2. Let a(m) = -5*c(m) + x(m). Find the first derivative of a(t) wrt t.
6*t**2
Let k(y) be the first derivative of 11*y**6/6 + 3*y**3 + 4. What is the third derivative of k(p) wrt p?
660*p**2
Let n(s) = -67*s**6 + 5*s**3 + 63*s**2. Let i(g) = -g**3 - g**2. Let t(o) = 5*i(o) + n(o). What is the third derivative of t(r) wrt r?
-8040*r**3
Let a(q) be the third derivative of 0 + 0*q**5 + 0*q**4 + 0*q - q**2 + 1/30*q**6 - 1/2*q**3. What is the first derivative of a(p) wrt p?
12*p**2
Let z = 8 + -7. Suppose z = 3*j - 3*n - 11, 5*n + 6 = -2*j. Find the second derivative of -j - p + 3*p**2 - p**2 + 2 wrt p.
4
Let w(v) be the second derivative of v**8/420 - v**4/6 - v**3/2 + 5*v. Let m(g) be the second derivative of w(g). Differentiate m(i) with respect to i.
16*i**3
Let n(z) be the second derivative of -2*z**5/5 - 37*z**3/6 + z**2 + 2*z - 2. Find the second derivative of n(v) wrt v.
-48*v
Let l(k) = 7*k - 6. Let o(g) = 5*g - 2*g + 0*g + 2 - 5. Let n(v) = 3*l(v) - 5*o(v). Differentiate n(a) wrt a.
6
Let f(g) be the second derivative of g**6/24 - g**5/20 - 3*g**2/2 + g. Let a(x) be the first derivative of f(x). What is the third derivative of a(d) wrt d?
30
Let n(h) = -h**3 + h**2 - h - 1. Let q(z) = -24*z**4 + 5*z**3 - 5*z**2 + 6*z + 3. Let w(p) = 5*n(p) + q(p). Find the second derivative of w(c) wrt c.
-288*c**2
Let u be -2 + 6/2 + 2. What is the third derivative of k**5 - u*k**5 - k**5 + k**2 wrt k?
-180*k**2
What is the third derivative of 28*m**2 - 4*m**5 + 7*m**2 - 4*m**6 - 9*m**2 wrt m?
-480*m**3 - 240*m**2
Let j(w) be the second derivative of -11*w**7/21 - 14*w**3/3 + 9*w. Find the second derivative of j(r) wrt r.
-440*r**3
What is the third derivative of -8*p**2 + 0*p**3 + 7*p**3 + 3*p**3 - 5*p**3 wrt p?
30
Let z = 5 - 2. Suppose 4*p = 4*o - o + 2, 3*p = 3*o. What is the second derivative of -o + y**2 + z*y + 5 - 3 wrt y?
2
Let p(w) be the third derivative of -w**6/30 + w**5/30 + 4*w**2. Find the third derivative of p(a) wrt a.
-24
Let i(s) be the first derivative of -2*s**4 + 7*s**3/3 - 16. Find the third derivative of i(h) wrt h.
-48
Let q(d) be the first derivative of -2/7*d**7 + 0*d**6 + 0*d**4 + 0*d**2 + 8 + 0*d**5 + 0*d - 2*d**3. Find the third derivative of q(k) wrt k.
-240*k**3
Find the third derivative of -48*l**2 - l**4 + 9*l**6 + 0*l**3 - 11*l**6 + 0*l**3 wrt l.
-240*l**3 - 24*l
Suppose -3*m + a = -52, m - 4*a - 80 = -3*m. Let s = -11 + m. What is the third derivative of -4*o**2 + o**2 + 4*o**s - 2*o**5 wrt o?
120*o**2
Let v(m) be the third derivative of 0*m + 0*m**3 + 1/15*m**5 + 1/4*m**4 + 0 - m**2. Find the second derivative of v(a) wrt a.
8
Let q(b) = -b**4 - b**3 - b**2 - b. Let w(c) = 13*c**4 + 4*c**3 + 4*c**2 + 8*c. Let l(f) = -4*q(f) - w(f). What is the second derivative of l(i) wrt i?
-108*i**2
Find the second derivative of 32*a**4 - a - 46*a**4 + 27*a**4 wrt a.
156*a**2
Let i(x) = -15*x**4 - 5*x**2 + 2*x - 5. Let u(d) = 14*d**4 + 4*d**2 - 3*d + 4. Let j(b) = -4*i(b) - 5*u(b). What is the second derivative of j(h) wrt h?
-120*h**2
Let b(w) be the third derivative of 1/42*w**8 + 0*w**7 + 0*w + 0 + 0*w**5 + 5*w**2 + 0*w**6 + 0*w**3 - 1/3*w**4. Find the second derivative of b(k) wrt k.
160*k**3
Let g be (-7 - 0)*6/(-7). Suppose -5*j + 35 = -3*s, 4*j = -3*s + s + g. Differentiate 0*r**4 + 1 + 4*r**j - 5*r**4 with respect to r.
-4*r**3
Let a(j) = -j**2 + 5*j + 10. Let k be a(7). Let w = 6 + k. What is the second derivative of -5*s + 3*s + s - s**w wrt s?
-2
Let f(u) be the third derivative of -u**9/30240 - u**6/180 - u**5/30 + u**2. Let p(b) be the third derivative of f(b). What is the derivative of p(c) wrt c?
-6*c**2
Let l(t) = 3*t**2 - 7*t. Let k(c) = -c**3 - 4*c**2 + 7*c. Let z(n) = -3*k(n) - 4*l(n). Find the second derivative of z(y) wrt y.
18*y
Let s =