i. Let r(w) be the second derivative of c(w). Find the second derivative of r(x) wrt x.
-24*x**2
Let x be (-631)/(-210) + 1*-3. Let w(v) be the third derivative of v**2 - x*v**7 + 0*v**5 + 0*v**4 + 0 + 0*v + 0*v**6 + 1/3*v**3. Differentiate w(r) wrt r.
-4*r**3
Let i(v) = v + 12. Let f be i(-8). Suppose 20 = 5*g - 3*t, -2*g + g = t + f. What is the derivative of -2 + g + 3 - o wrt o?
-1
Let w = 19 + -12. Differentiate -w + 1 + 7*r + 0 - 2*r wrt r.
5
Let u(p) be the second derivative of -4*p**6/3 - 2*p**3/3 + 5*p. Find the second derivative of u(r) wrt r.
-480*r**2
What is the first derivative of 5 + 0 + 0 - 17*f + 6 wrt f?
-17
Let z(x) be the second derivative of 1/12*x**4 + 4*x + 0 + 5/6*x**3 + 0*x**2. What is the second derivative of z(j) wrt j?
2
Find the first derivative of 17*c - 18*c - 11 + 41 + 15*c wrt c.
14
Let u(b) = -21*b**3 - 28*b + 5. Let p(n) = -21*n**3 - 26*n + 6. Let z(o) = -5*p(o) + 6*u(o). What is the second derivative of z(d) wrt d?
-126*d
Let d(v) = -7*v**2 - 2*v - 3. Let k(g) = 14*g**2 + 5*g + 6. Let x(a) = 5*d(a) + 2*k(a). Differentiate x(q) wrt q.
-14*q
Let c(z) be the first derivative of z**5/60 - z**4/12 + z**2 - 2. Let s(x) be the second derivative of c(x). Find the second derivative of s(a) wrt a.
2
Let c(o) = o**3 + 4*o**2 + 3. Let s be c(-4). What is the second derivative of -s*i + 5*i**3 - i**3 - 5*i**3 wrt i?
-6*i
Let x(z) = z**3 - z**2 + z - 1. Let y(l) = -15*l**4 - l**3 + l**2 - l - 15. Let h(d) = -x(d) - y(d). Find the first derivative of h(q) wrt q.
60*q**3
Let i(m) = 37*m**2 + 5*m + 9. Let b(p) = 18*p**2 + 2*p + 5. Let s(z) = -5*b(z) + 2*i(z). Differentiate s(q) wrt q.
-32*q
Let k(g) = 8*g**2 + 11*g - 3. Suppose -l = -8 + 1. Suppose -2*m = -l*m - 20. Let z(j) = 3*j**2 + 4*j - 1. Let p(c) = m*k(c) + 11*z(c). Differentiate p(b) wrt b.
2*b
Find the first derivative of -58 - 2*l**2 + 19 + 3*l**2 - 7*l**2 + 4*l wrt l.
-12*l + 4
Let x(b) = 59*b**2 - 7*b + 52. Let w(l) = -l**2 + l - 1. Let k(u) = 6*w(u) + x(u). Find the second derivative of k(y) wrt y.
106
Let o(q) be the first derivative of 3*q**2/2 + 7*q - 6. What is the derivative of o(m) wrt m?
3
Let a(p) = -p**3 + p**2 - 1. Let w(m) = 7*m**2 - 7*m**3 - 4 - 2 + 2*m**2. Let q(f) = 6*a(f) - w(f). What is the third derivative of q(v) wrt v?
6
Let t(g) be the first derivative of 1 - 1/4*g**4 + 0*g**3 - 3*g + 0*g**2. Find the first derivative of t(q) wrt q.
-3*q**2
Let t(k) = k**3 - 4*k**2 + k. Let a be t(4). Differentiate -a*y**2 - 10*y + 10*y - 6 wrt y.
-8*y
What is the second derivative of -3*k**2 - 11*k + 14*k + 4*k wrt k?
-6
Let b(d) be the first derivative of 5*d**3/3 + 7*d**2/2 + 10. Find the second derivative of b(p) wrt p.
10
What is the derivative of -2*a**4 + 2*a**4 - 1 + a**4 + 0 wrt a?
4*a**3
Let v(k) be the third derivative of 1/20*k**6 + 6*k**2 + 0 + 0*k + 0*k**5 + 1/6*k**4 + 0*k**3. What is the second derivative of v(f) wrt f?
36*f
Let p(b) = b - 1. Let x(v) = -18*v + 14. Let z(s) = -12*p(s) - x(s). Differentiate z(n) with respect to n.
6
Let m = 16 + -13. Find the second derivative of -6*j**4 + 5*j + m*j - 3*j**4 wrt j.
-108*j**2
Let v(h) = h**2 + h + 1. Let p = 9 + -8. Let x(q) = -2*q**2 + q - 3. Let t(u) = p*x(u) + 3*v(u). Find the second derivative of t(c) wrt c.
2
Let j(x) = x**2 - 1. Let p(o) = 4*o**2 - o - 3. Let i(w) = 6*j(w) - 2*p(w). What is the second derivative of i(k) wrt k?
-4
Let s be (9/(-12))/((-12)/32). Find the third derivative of 6*n**s - 7*n**2 + 7*n**3 - 2*n**2 wrt n.
42
Differentiate 1 - 6*f**3 + 6 - 3*f**3 - 3*f**3 wrt f.
-36*f**2
Let r(s) = 10*s**5 + 7*s**3 - 7*s**2 - s - 7. Let a(o) = 5*o**5 + 3*o**3 - 3*o**2 - 3. Let t(x) = 7*a(x) - 3*r(x). Find the second derivative of t(g) wrt g.
100*g**3
Let x(m) be the third derivative of 37*m**6/120 + 31*m**3/6 - 52*m**2. Find the first derivative of x(b) wrt b.
111*b**2
Let g(v) be the first derivative of v**9/3024 - v**6/360 - v**3/3 - 3. Let s(k) be the third derivative of g(k). What is the third derivative of s(y) wrt y?
60*y**2
Differentiate -1 + 0*b + 2*b - 7*b + b wrt b.
-4
Let n(u) be the first derivative of -u**6/30 - u**4/12 - u + 1. Let s(m) be the first derivative of n(m). Find the third derivative of s(f) wrt f.
-24*f
Let p(y) = 12*y**4 + 11*y**2 + 5*y + 5. Let f(k) = -k**4 + k**2 - k - 1. Let q(h) = -5*f(h) - p(h). What is the third derivative of q(n) wrt n?
-168*n
Let i(b) be the first derivative of b**5/10 + b**2/2 - b + 3. Let r(f) be the first derivative of i(f). Find the first derivative of r(d) wrt d.
6*d**2
Let h = 13 - 10. What is the second derivative of -h*i**2 - i**2 + 2*i**2 - 3*i wrt i?
-4
Find the second derivative of 17*h**4 - 17*h**4 + 13*h**5 + 17*h wrt h.
260*h**3
Differentiate -17*h**2 + 6*h + 45 - 1 - 4*h wrt h.
-34*h + 2
Suppose 4*x - 3*x - 3 = 0. Find the third derivative of g**2 + g**2 - g**2 + x*g**5 wrt g.
180*g**2
What is the third derivative of 122 + 2*y**2 - 13*y**4 - 122 + 6*y**2 wrt y?
-312*y
Suppose -5*t = 27 - 12. Let m(u) = -5*u**5 + 4*u - 3. Let z(i) = 9*i**5 - 8*i + 5. Let l(x) = t*z(x) - 5*m(x). What is the second derivative of l(h) wrt h?
-40*h**3
Let h(k) = k + 6. Let f be h(-4). Let i be (f/3)/(7/42). What is the derivative of -a**i + 4*a**4 - 4*a**4 - 1 - 1 wrt a?
-4*a**3
Find the first derivative of -14 - 22 - 13 + 37*z**3 - 17*z + 16*z wrt z.
111*z**2 - 1
Let y(c) = c**3 - 2*c**2 + 2*c - 2. Let r be y(2). Suppose 2*q + 3*d = -r - 4, -4*d - 8 = 2*q. Find the first derivative of -2 + k**3 + 0*k**3 + q*k**3 wrt k.
3*k**2
Let m(w) = w**2 - 9*w + 12. Let b be m(8). Suppose l + b*l = 25. What is the third derivative of 3*f**2 + 0*f**l - f**5 - 2*f**2 wrt f?
-60*f**2
Let j(h) be the first derivative of -1/2*h**2 + 1/3*h**3 + 1 + 0*h. What is the second derivative of j(w) wrt w?
2
Let p(m) be the second derivative of 11*m**4/12 + 3*m**2 + 35*m. What is the derivative of p(c) wrt c?
22*c
Let r be 1/(6/10) - 3/(-9). Let z(v) be the second derivative of 3*v + 0*v**3 + 0 + 0*v**r - 1/10*v**5 + 1/12*v**4. Find the third derivative of z(n) wrt n.
-12
Suppose k - 5*n = 23, -n + 0*n = 5. Let w be k/(-6) + 55/15. Find the third derivative of -29 + 4*v**w - 3*v**2 + 29 wrt v.
96*v
Let r be ((-4)/2)/(4/(-6)). Find the third derivative of -g**3 - 6*g**4 - r*g**2 + 2*g**3 - g**3 wrt g.
-144*g
Let i be (-6)/4*(-28)/6. Let n(v) = -v**2 + 8*v - 4. Let g be n(i). What is the first derivative of -5*r**4 + g*r**4 - 1 + 3 wrt r?
-8*r**3
Let h be 1/((-2)/(-8) + 0). Let l be ((-6)/h)/((-3)/4). Find the second derivative of -4*j + l*j**3 - 4*j**3 + 5*j wrt j.
-12*j
Let a(f) = f**2 + 1. Let u(o) = -o**3 + 5*o**2 - 2*o + 5. Let g(i) = -15*a(i) + 3*u(i). What is the second derivative of g(n) wrt n?
-18*n
Let k(z) = -180*z**3 + 225*z**2 - 55*z + 55. Let n(i) = -20*i**3 + 25*i**2 - 6*i + 6. Let j(p) = -6*k(p) + 55*n(p). What is the third derivative of j(h) wrt h?
-120
Find the first derivative of -r**2 - 17*r**4 + r**2 + 19 - 43 wrt r.
-68*r**3
Let p(k) be the third derivative of k**5/20 - 3*k**3/2 - 4*k**2. Find the first derivative of p(n) wrt n.
6*n
Let k(b) = b**4 - b**3 + 1. Let p(i) = i**4 - 8 + 10 - 4*i**3 + 6*i**4. Let u(m) = -4*k(m) + p(m). Differentiate u(z) with respect to z.
12*z**3
Let n(t) be the third derivative of 0*t**6 + 0*t - 1/3*t**3 + 1/42*t**7 + 0 + 0*t**5 + 2*t**2 + 0*t**4. Differentiate n(v) with respect to v.
20*v**3
Let i = 16 + -26. Let d be i*1*(-6)/10. What is the third derivative of -4*p**d + p**2 + 3*p**2 + 6*p**6 wrt p?
240*p**3
Let y(z) be the third derivative of -z**8/168 - 7*z**5/60 - 9*z**2. Find the third derivative of y(o) wrt o.
-120*o**2
Let x(i) be the second derivative of i**5/10 - 2*i**4 - 7*i**3/3 - 13*i - 1. What is the second derivative of x(r) wrt r?
12*r - 48
Let q(u) be the second derivative of -1/10*u**6 + 0 + 0*u**2 + 0*u**3 - u + 0*u**5 - 1/12*u**4. What is the third derivative of q(h) wrt h?
-72*h
Let d be (-7)/(-4) - (-4)/16. Find the second derivative of 2*q**2 - 4*q - 3*q**2 + 3*q**d wrt q.
4
Let o(j) = 28*j**2 + 3*j + 33. Let n(r) = r**2 - r - 1. Let b(i) = 3*n(i) + o(i). Differentiate b(y) with respect to y.
62*y
Let b(d) be the second derivative of 33*d**5/20 + d**4/12 - 32*d**3/3 - 37*d. What is the second derivative of b(r) wrt r?
198*r + 2
Let v(a) be the second derivative of 0*a**5 + 0*a**3 + 1/15*a*