 of 0*d + p + 2*d - 2*d + 3*d**4 wrt d?
12*d**3
Let q(l) = 13*l**4 + 3*l**3 - 3*l**2 + 6*l - 3. Let w(x) = x**3 - x**2 - 1. Let f(t) = 2*q(t) - 6*w(t). What is the second derivative of f(y) wrt y?
312*y**2
Let f(o) be the first derivative of o**3 + 2*o + 6. What is the first derivative of f(c) wrt c?
6*c
Let t = 11 + -8. What is the second derivative of 6*g**t - 6*g**3 + g**3 + 2*g**3 - 3*g wrt g?
18*g
Let d(k) be the second derivative of 0*k**3 + k + 0 + 0*k**2 - 1/12*k**4 - 3/20*k**5. What is the third derivative of d(x) wrt x?
-18
Suppose 16*d - 13*d = 0. Let g(k) be the second derivative of 0*k**5 - 1/3*k**3 + k + 0*k**2 + 0 + d*k**4 + 1/15*k**6. Find the second derivative of g(y) wrt y.
24*y**2
Let o(y) = 2*y**3 + y. Let t be o(1). What is the third derivative of s**2 + 0*s**3 - 4*s**2 + 3*s**3 + 0*s**t wrt s?
18
Let l(n) = 6*n**5 + 2*n**3 - 8*n. Let j(m) = -25*m**5 - 9*m**3 + 32*m. Let u(k) = 4*j(k) + 18*l(k). Find the second derivative of u(z) wrt z.
160*z**3
Let g(n) = n**2 - n - 1. Let x(w) = 2*w**2 - 9*w - 8. Let j(s) = -g(s) + x(s). Let q be j(9). Find the second derivative of 0*b**2 + b**2 - 3*b + 2*b**q wrt b.
6
Let h(v) be the second derivative of 31*v**7/42 - 3*v**4/4 - 27*v. Find the third derivative of h(i) wrt i.
1860*i**2
Let l(p) be the second derivative of 3*p**5/20 - 5*p**4/6 + 4*p. Find the third derivative of l(g) wrt g.
18
Let h(b) = -49*b**3 + 5*b**2 + 9*b - 22. Let r(c) = 24*c**3 - 3*c**2 - 5*c + 11. Let p(d) = 3*h(d) + 5*r(d). Differentiate p(x) wrt x.
-81*x**2 + 2
Differentiate 22*s**3 - 5*s**3 + 7*s**3 + 9 - 10*s**3 wrt s.
42*s**2
Suppose 5*z + 0*z = 15. Find the second derivative of -4*i**4 + z*i + 3*i**4 + i**4 + 4*i**4 wrt i.
48*i**2
Let k(s) = -8*s**3 - 6*s**2 - 6*s + 17. Let l(i) = 25*i**3 + 17*i**2 + 17*i - 52. Let a(h) = -17*k(h) - 6*l(h). Find the first derivative of a(z) wrt z.
-42*z**2
Let l(h) = 3*h**3 + 7*h - 65. Let w(c) = -c**3 - 3*c + 32. Let a(y) = 3*l(y) + 7*w(y). Differentiate a(u) wrt u.
6*u**2
Let t(j) = -9*j**3 + 2*j + 6. Let i(d) = 19*d**3 - 5*d - 11. Let r(m) = 2*i(m) + 5*t(m). What is the first derivative of r(f) wrt f?
-21*f**2
Let n be -2*(6/(-4))/1. Let d = n - 0. What is the third derivative of -2*l**2 + l**d - l**2 + l**2 wrt l?
6
Let f(u) be the first derivative of -1/12*u**4 - 2*u + 0*u**3 + 1/2*u**2 - 2. Let b(h) be the first derivative of f(h). What is the derivative of b(y) wrt y?
-2*y
Let v be (-16)/(-3) + 2/(-6). Suppose 2*b - 2*q - 14 = q, v*b - 2*q = 46. What is the second derivative of 14*i - i**3 - b*i - 3*i**3 wrt i?
-24*i
What is the second derivative of 8*r - 40*r**3 - 7*r**4 + 20*r**3 + 20*r**3 wrt r?
-84*r**2
Let u(a) be the second derivative of a**9/5040 - a**5/60 + a**4/6 + a. Let h(t) be the third derivative of u(t). Find the first derivative of h(l) wrt l.
12*l**3
What is the first derivative of -2 + t**3 + t**2 - t**2 + 2*t**3 wrt t?
9*t**2
Suppose 4*j - 4 - 4 = 0, -3*h + 13 = 2*j. Let o(x) be the first derivative of 1 + 0*x + 1/3*x**h - 1/2*x**2. Find the second derivative of o(q) wrt q.
2
Suppose -4*t + 3 = 4*c - t, -5*t - 30 = -5*c. Differentiate -2*i**3 + 4*i**3 + 4*i**c - 9 with respect to i.
18*i**2
Let v(q) = q**2 - 3*q - 2. Let r be v(4). Let m(y) be the first derivative of -1 - 1/2*y**r - y. What is the first derivative of m(d) wrt d?
-1
Let q(r) = r**2 - r - 1. Let v be q(-1). What is the derivative of 4 + v + 2*p + 0*p - 4 wrt p?
2
Let u(l) be the second derivative of l**3/6 + 3*l**2 + 3*l. Let t be u(-3). What is the first derivative of -2*f - 2 - t*f**3 - f + 3*f wrt f?
-9*f**2
Let j(d) = -d - 6. Let z be j(-8). Differentiate 0*p**2 + 0*p**z + 8*p**3 + 4 - 11 with respect to p.
24*p**2
Let j = 1 - 5. Let s = j - -5. What is the first derivative of 0 - 1 + 3*z - s wrt z?
3
Let d(x) = 12 - 2*x**3 + 1 - 9*x**2 - 11*x**3. Let j(b) = 3*b**3 + 2*b**2 - 3. Let s(k) = -2*d(k) - 9*j(k). Find the first derivative of s(l) wrt l.
-3*l**2
Let a(t) be the second derivative of 0*t**3 + 0*t**6 + 0 + 0*t**2 + 4*t - 5/42*t**7 - 1/2*t**4 + 0*t**5. What is the third derivative of a(v) wrt v?
-300*v**2
Let u = 4 - 2. Find the second derivative of -4 - i**4 + u*i + 4 wrt i.
-12*i**2
Let u(j) = j**2 - 9*j - 8. Let c be u(10). Find the third derivative of -47 + p**c + 4*p**6 + 47 wrt p.
480*p**3
Find the second derivative of -154*f**4 + 294*f**4 - 186*f**4 + 29*f wrt f.
-552*f**2
Let i(c) = -1 - 8*c**2 + 6*c**2 + c**2. Let j(a) = -a**2 - a + 2. Let t(r) = -2*i(r) - j(r). Find the second derivative of t(k) wrt k.
6
Suppose -5*s + 21 - 1 = 0. Find the third derivative of -35*y + 35*y + s*y**4 + 2*y**2 wrt y.
96*y
What is the second derivative of -11*x + 18*x**2 + 5 - 6 + 1 wrt x?
36
Let j(f) be the first derivative of -17*f**4/4 + 23*f - 28. What is the first derivative of j(y) wrt y?
-51*y**2
Let v be 0/1 + 2 - -2. Suppose 0 = -3*k - 5*d + 11 + 1, 3*d - v = -k. What is the first derivative of l + k - 2 - 3 wrt l?
1
Let t(z) be the second derivative of z**6/30 + 11*z**4/12 + 8*z. Find the third derivative of t(d) wrt d.
24*d
Let g(u) = u**3 + 3*u**2 - 4*u + 2. Suppose -6 = 4*y + 5*a, -4*y - 3*a = -a + 12. Let l be g(y). Find the second derivative of 4*i + i**l - 3*i - 5*i**2 wrt i.
-8
Let z(a) be the second derivative of 5*a**7/42 - 2*a**3/3 + 4*a. Find the second derivative of z(b) wrt b.
100*b**3
Let a(h) be the second derivative of 0*h**4 + 0*h**2 + 0 + 0*h**5 + h - 5/42*h**7 + 5/6*h**3 + 0*h**6. Find the second derivative of a(g) wrt g.
-100*g**3
Let l(y) = -y**2 - 11*y - 7. Let a be l(-10). Find the first derivative of -5 + 6 - a - 2*w**2 + 4*w**2 wrt w.
4*w
Let b = -102 + 102. Let t(n) be the first derivative of 1 - 1/4*n**4 + b*n**3 + 1/2*n**2 + 0*n. What is the second derivative of t(q) wrt q?
-6*q
Let d(a) be the second derivative of 1/3*a**3 + 0 - a - 5/12*a**4 + 0*a**2. Find the second derivative of d(r) wrt r.
-10
Let p(g) = 2*g**3 + 1. Let z be p(1). Let c = 72 + -46. What is the second derivative of 3*r**5 + 26*r**z + r - c*r**3 wrt r?
60*r**3
Let d(g) be the first derivative of 4*g**5/5 - 8*g - 9. What is the first derivative of d(s) wrt s?
16*s**3
Let y(c) = c**3 - 2*c + 1. Let f be y(2). Let o(s) = -s**2 - 9*s - 10. Let n be o(-7). What is the second derivative of 5*q**5 + 3*q - n*q**f - q wrt q?
20*q**3
Let z(l) = -l + 8. Let m be z(6). Suppose -2*k + 20 = 3*k. Find the third derivative of m*r**2 - r**4 + k*r**4 + 0*r**2 wrt r.
72*r
Let x(b) be the second derivative of -3*b + 0*b**3 + 3/4*b**4 + 0*b**2 + 0 - 3/20*b**5. Find the third derivative of x(d) wrt d.
-18
Let v(p) = -p**2 - 9*p - 5. Let x be v(-8). What is the second derivative of x*s**4 - 3*s**4 - 2*s**5 + 2*s + 4*s**5 wrt s?
40*s**3
Let y(m) be the second derivative of -1/12*m**4 + 0 + 3*m + 0*m**3 + 0*m**5 + 0*m**2 + 1/15*m**6. What is the third derivative of y(x) wrt x?
48*x
Let l(g) = g + 2. Let v be l(3). Suppose 3*r = 2*p - 0*p + 6, 0 = -3*r + 3*p + 6. What is the third derivative of -d**r - 3*d - 2*d**v + 3*d wrt d?
-120*d**2
Let w = 0 - -4. Find the second derivative of -w*h**2 + 3*h**2 - h**2 + 4*h wrt h.
-4
Let p(j) be the first derivative of j**7/70 + 2*j**5/15 - 7*j**2/2 - 11. Let i(w) be the second derivative of p(w). What is the third derivative of i(l) wrt l?
72*l
Let x(q) = 5*q**3 - 2*q**2 + 10. Let d = 11 - 6. Let b(l) = 10*l**3 - 5*l**2 + 21. Let c(o) = d*x(o) - 2*b(o). Find the first derivative of c(p) wrt p.
15*p**2
What is the second derivative of -123*l + 55*l + 43*l + 4*l**2 wrt l?
8
Let z(c) = -c**2 + 4*c + 3. Let j be z(5). Let t = 2 - j. What is the second derivative of -6*g**3 + 4*g - 4*g**3 + 2*g**3 + t*g**3 wrt g?
-24*g
Let f = 7 + -5. Find the second derivative of 3*q**4 + 3*q**4 - 5*q**4 - f*q wrt q.
12*q**2
What is the third derivative of -5*o**2 - 4*o**4 + o**4 - 3*o**4 - o**2 wrt o?
-144*o
Let i be (10/4)/((-1)/(-2)). What is the second derivative of h - 4*h - h**5 + 0*h**i wrt h?
-20*h**3
Let i(j) = -j + 4. Let u be i(0). What is the second derivative of h**u + 0*h - 7*h + 14*h wrt h?
12*h**2
Let q(p) = 3*p**3 + p**2 - 2*p + 1. Let t be q(1). What is the second derivative of -3*r + 3*r**3 + 2*r - r**t wrt r?
12*r
Let g = 6 - 4. Let j be -1*(-3 + -1)/g. What is the third derivative of j*f**2 - 3*f**2 - 4*f**5 + 3*f**5 wrt f?
-60*f**2
Suppose 0 = -m + 2*x, 2*x = 4