 a.
14*a
Let c(i) be the first derivative of -1/2*i**2 + 0*i**4 + 5 + 4/5*i**5 + 0*i + 0*i**3. What is the second derivative of c(s) wrt s?
48*s**2
Let l(i) = -16*i**3 - 3*i**2 + 3*i - 12. Let h(f) = -17*f**3 - 4*f**2 + 4*f - 13. Let y(o) = 3*h(o) - 4*l(o). Differentiate y(a) with respect to a.
39*a**2
Let j(i) = 24*i**2 + 16*i + 4. Let p(q) = -8*q**2 - 5*q - 1. Let l(x) = 5*j(x) + 16*p(x). Differentiate l(a) with respect to a.
-16*a
Suppose 2*s - 2*v - 26 = 0, 2*s + 4*v - 8*v - 28 = 0. Suppose -2*w = -4*w + s. Find the second derivative of 2*t**3 - w*t**3 + 3*t + 0*t**3 wrt t.
-24*t
Let s(a) = -a**3 - a + 1. Let j be (1/(-2))/((-7)/(-84)). Let c(z) = 7*z**3 + 13*z - 6. Let p(w) = j*s(w) - c(w). Find the second derivative of p(q) wrt q.
-6*q
What is the second derivative of 4*t + 4*t + 17*t**2 + 14*t wrt t?
34
Let u(d) be the third derivative of -2/105*d**7 - 1/2*d**3 + 3*d**2 + 0*d**5 + 0*d**4 + 0*d**6 + 0 + 0*d. Differentiate u(a) wrt a.
-16*a**3
Let l(s) = 17*s**5 - 4*s**4 + 4*s**3 + 24*s**2 + 4. Let h(f) = -f**4 + f**3 + 1. Let z(t) = -4*h(t) + l(t). Find the third derivative of z(p) wrt p.
1020*p**2
Let s(a) be the third derivative of -a**6/24 + 19*a**3/3 + 33*a**2. Differentiate s(r) wrt r.
-15*r**2
Let b(u) be the third derivative of -1/4*u**4 + 0 + 0*u**3 + 0*u**6 - 1/48*u**8 - 5*u**2 + 0*u**5 + 0*u + 0*u**7. Find the second derivative of b(l) wrt l.
-140*l**3
Let k(q) be the third derivative of q**8/112 + q**7/210 - q**4/24 - 17*q**3/6 - q**2 - 1. Find the second derivative of k(a) wrt a.
60*a**3 + 12*a**2
Let h(b) = -8*b**4 + 5*b**3 + 10*b**2 - 5*b. Let w(c) = -9*c**4 + 4*c**3 + 9*c**2 - 4*c. Let r(i) = -4*h(i) + 5*w(i). Find the third derivative of r(a) wrt a.
-312*a
Let b(m) = 6*m**3 - 6*m + 3. Suppose 5*z = 2*z - 18. Let l(w) = w**4 + 17*w**3 - 17*w + 8. Let s(y) = z*l(y) + 17*b(y). Find the first derivative of s(k) wrt k.
-24*k**3
Let g(u) = 66*u**2 + 35. Let d(y) = 67*y**2 + 37. Let j(k) = -2*d(k) + 3*g(k). Differentiate j(x) with respect to x.
128*x
Let u(b) be the third derivative of 0*b**4 + 0*b + 6*b**2 + 0 - 1/2*b**3 + 1/15*b**5. Find the first derivative of u(r) wrt r.
8*r
Let u(t) = -t**3 + 5*t**2 + t - 2. Let m be u(5). What is the third derivative of -2*f**2 + f**2 + m*f**2 - 3*f**2 + 3*f**4 wrt f?
72*f
Find the second derivative of -26*l**4 + 24*l**4 - 4*l - l**2 + l**2 wrt l.
-24*l**2
Let v(p) = -9*p - 51. Let z be v(-6). Let b(r) be the first derivative of -r**2 + 0*r**z + 3/4*r**4 + 1 + 0*r. Find the second derivative of b(k) wrt k.
18*k
Let l be 50/(-20)*(-16)/10. Differentiate -b**3 - 2*b**4 - b**l + 4 + b**3 with respect to b.
-12*b**3
Suppose -2*m + 32 = 2*m. Suppose -4*g + 0*g + m = 0. What is the derivative of -l**3 + 3*l**g - 2 - 3*l**2 wrt l?
-3*l**2
Let n(k) be the third derivative of 4*k**7/35 - 7*k**5/20 + 23*k**2. Find the third derivative of n(r) wrt r.
576*r
Differentiate -54 + 27 - 44*o**3 + 7*o - 7*o with respect to o.
-132*o**2
Let p be ((-30)/(-35))/((-2)/(-14)). Let y(s) = 2*s**2 + 6*s - 7. Let z(w) = 2*w**2 + 5*w - 6. Let k(t) = p*z(t) - 5*y(t). What is the derivative of k(i) wrt i?
4*i
Suppose -3*n - 2*v = -1, -3*n + v = n - 16. Suppose 3*h = 4*h - 2. What is the third derivative of -x**n + 22*x + 2*x**h - 22*x wrt x?
-6
Let l(g) be the third derivative of -g**8/6720 - g**6/720 - g**4/24 - g**2. Let w(v) be the second derivative of l(v). Find the second derivative of w(c) wrt c.
-6*c
Suppose 2*u + g = 2, 0*g - 5*g = -10. Find the first derivative of u - w**2 - 5 + 4 wrt w.
-2*w
What is the third derivative of -8*c**4 + 4*c**2 + 0*c**4 - 3*c**2 + 3*c**2 wrt c?
-192*c
Let y(j) be the first derivative of 33*j**5/5 + 4*j**3/3 + 44. What is the third derivative of y(q) wrt q?
792*q
Let p(h) = 6*h - 2. Let u(v) = 6*v - 1. Let w(i) = 2*p(i) - 3*u(i). Find the first derivative of w(k) wrt k.
-6
Let p(k) be the second derivative of 19*k**5/10 - 23*k**3/3 + 3*k. What is the second derivative of p(u) wrt u?
228*u
Let t(b) = b**3 - 6*b**2 - 6*b - 3. Let j be t(7). Find the third derivative of 2*m**2 + m**2 + j*m**5 + 0*m**2 - 7*m**5 wrt m.
-180*m**2
What is the third derivative of 5*s**2 + 0*s**5 - 20*s**5 - 10*s**2 - 9*s**2 wrt s?
-1200*s**2
Find the second derivative of -j - 26*j**2 + 26*j**2 + 12*j**3 + 6*j wrt j.
72*j
Let w(p) be the third derivative of -p**7/42 - p**5/60 + 2*p**2. What is the third derivative of w(d) wrt d?
-120*d
Let f(t) be the third derivative of t**6/60 - t**5/60 + 5*t**3/3 + 5*t**2. Let b(u) be the first derivative of f(u). Find the second derivative of b(i) wrt i.
12
Let l(m) = -13*m**4 - 4*m**3 - 4*m**2 + 5*m - 4. Let o(q) = q**3 + q**2 + q + 1. Let y(t) = -l(t) - 4*o(t). What is the second derivative of y(v) wrt v?
156*v**2
Let r(a) = -9*a**3 - a**2 - 31. Let b(t) = -37*t**3 - 5*t**2 - 123. Let v(n) = 2*b(n) - 9*r(n). Differentiate v(g) with respect to g.
21*g**2 - 2*g
Let i(h) be the third derivative of -7*h**4/3 - 23*h**3/3 + 2*h**2 + 10. What is the first derivative of i(p) wrt p?
-56
Let j(i) be the first derivative of 8*i**5 - i**3/3 + 21. What is the third derivative of j(n) wrt n?
960*n
Let x(y) be the third derivative of 0 + 0*y**3 + 0*y**7 + 0*y + 0*y**5 + 0*y**6 - 6*y**2 - 5/24*y**4 + 1/84*y**8. What is the second derivative of x(b) wrt b?
80*b**3
Let x be 12/4 - (-1)/1. What is the second derivative of -4*q + q + 3*q**2 + 5*q + x*q wrt q?
6
Let z(a) be the second derivative of a**6/15 + 7*a**4/12 + 10*a. What is the third derivative of z(i) wrt i?
48*i
Let o(b) be the third derivative of -15*b**8/112 + 7*b**5/20 - b**2 + 57*b. What is the third derivative of o(t) wrt t?
-2700*t**2
Let k(o) be the first derivative of o**5/5 + 5*o**3/3 - 29*o**2 + 44. Find the second derivative of k(n) wrt n.
12*n**2 + 10
Let v(h) = 29*h**4 - 6*h**2 - 14*h + 6. Let t(n) = -30*n**4 + 7*n**2 + 14*n - 7. Let l(k) = 6*t(k) + 7*v(k). Find the second derivative of l(m) wrt m.
276*m**2
Let i(d) = -41*d**3 - 6*d**2 + 6*d + 32. Let l(j) = 81*j**3 + 11*j**2 - 11*j - 63. Let g(w) = -11*i(w) - 6*l(w). What is the first derivative of g(p) wrt p?
-105*p**2
Let r(o) = 44*o**3 - 26*o**2 + 15*o - 11. Let z(f) = 9*f**3 - 5*f**2 + 3*f - 2. Let k(h) = 2*r(h) - 11*z(h). Find the third derivative of k(x) wrt x.
-66
Suppose -k = -0*k - 2. Let t(y) be the first derivative of 0*y**2 - 2 - 2*y + 2*y**2 + 6 - k*y. What is the derivative of t(l) wrt l?
4
Let p(z) = -7*z**2 + 4*z + 2. Let o be 14/4 + (-1)/(-2). Let c(v) = -8*v**2 + 5*v + 3. Let y(l) = o*c(l) - 5*p(l). Differentiate y(i) wrt i.
6*i
Let w(j) be the first derivative of j**6/15 - j**3/3 - 2*j + 3. Let i(o) be the first derivative of w(o). Find the second derivative of i(h) wrt h.
24*h**2
Find the third derivative of t**4 - 18*t**2 + t**4 - 27*t**2 - 20*t**2 - 4*t**5 wrt t.
-240*t**2 + 48*t
Let i(u) be the third derivative of 3*u**6/40 - u**5/12 - 5*u**2. What is the third derivative of i(r) wrt r?
54
Find the second derivative of -3*u**2 - 5*u**2 + u - 4*u + u**2 wrt u.
-14
Let m = 22 + -22. Let i(o) be the third derivative of 0*o**4 + 0*o + m*o**3 + 0 - o**2 - 1/120*o**6 + 1/30*o**5. What is the third derivative of i(k) wrt k?
-6
Let h(n) be the second derivative of 0*n**2 + 0*n**4 + 1/10*n**5 + n + 0 - 1/2*n**3. Find the second derivative of h(g) wrt g.
12*g
Suppose i - 3 - 1 = 0. Let p(u) be the first derivative of -1 + 0*u - 1/2*u**2 - 1/6*u**6 + 0*u**3 + 0*u**i + 0*u**5. Find the second derivative of p(j) wrt j.
-20*j**3
Find the second derivative of -6*o + 3*o**2 + o + o - 4*o**2 wrt o.
-2
Let t(n) = -n**2 - n + 1. Let a(w) = 6*w**3 - 2*w**2 - 2*w - 3. Let k(y) = a(y) - 2*t(y). Differentiate k(v) with respect to v.
18*v**2
Let b(x) = -21*x**4 - 13*x**2 - 13*x + 7. Let u(d) = -10*d**4 - 6*d**2 - 6*d + 3. Let m(l) = 6*b(l) - 13*u(l). What is the first derivative of m(p) wrt p?
16*p**3
Let m = 11 + -8. Find the third derivative of -2 - 1 + 3 + 4*i**m + 3*i**2 wrt i.
24
Let u be ((-20)/(-6))/((-2)/(-3)). Find the second derivative of o**2 - o**2 + 0*o**2 + 3*o - 2*o**u wrt o.
-40*o**3
Let b(a) = a + 7. Let i be b(-5). Find the third derivative of x**3 - x**3 - 3*x**4 - x**2 - i*x**2 wrt x.
-72*x
Let y(f) = -8*f**3 + 3*f**2 - 3. Let h(d) = -15*d**3 + 5*d**2 - 6. Let c(i) = 3*h(i) - 5*y(i). Differentiate c(b) with respect to b.
-15*b**2
Let g(b) 