he first derivative of -8*y**4 + 3 + 15*y**4 - 18 + 2 wrt y.
28*y**3
Let z(g) be the third derivative of -g**6/24 + g**3/2 + 3*g**2. Differentiate z(o) wrt o.
-15*o**2
Suppose 5*u = 15, -5*v + 5*u = -v + 7. Suppose 0 = 2*s - s - 3. What is the third derivative of s*n**v - 4*n**2 + n**6 + 3*n**2 wrt n?
120*n**3
Let p(z) be the second derivative of z**5/15 - z**4/24 + z**2/2 + 3*z. Let c(h) be the first derivative of p(h). Find the second derivative of c(k) wrt k.
8
Let r = -3/8 + 17/24. Let y(v) be the third derivative of 0*v**4 + 0*v + 0 - 1/30*v**5 - v**2 - r*v**3. What is the first derivative of y(s) wrt s?
-4*s
Let f = -6 - -12. Suppose -v = 3*v - 8, 2*u + f = 3*v. What is the second derivative of u*r - 4*r**3 - 3*r + 3*r**3 + 4*r wrt r?
-6*r
Let x(g) be the third derivative of 1/6*g**3 - 4*g**2 - 1/8*g**4 + 0 + 0*g. Find the first derivative of x(q) wrt q.
-3
Let k(v) be the second derivative of 8*v + 0*v**2 - 4/3*v**3 + 0 - 2/3*v**4. What is the second derivative of k(o) wrt o?
-16
What is the derivative of -2*s**3 - 17*s - 40 + s**4 + 17*s + 97 wrt s?
4*s**3 - 6*s**2
Suppose 27 - 7 = 4*j. Find the second derivative of -j*f**2 + 2*f + 3*f**5 + 5*f**2 + 0*f**5 wrt f.
60*f**3
Let i(r) = r**2 - 5*r + 5. Let x be i(6). Let j(k) = k**3 - 2*k - 2. Let l(v) = 5*v**3 - 11*v - 10. Let y(p) = x*j(p) - 2*l(p). Differentiate y(h) wrt h.
3*h**2
What is the third derivative of -12*k**4 - k**4 + 3*k - 8*k**2 + 36*k**4 wrt k?
552*k
Let z(x) = x + 1. Let r(v) = -8*v**2 - v + 3. Let y(w) = 2*r(w) + 2*z(w). Differentiate y(a) with respect to a.
-32*a
Suppose 2*r - 2*x - 4 = 0, 2*r + 3*x - 3 = 6. Let a(n) be the first derivative of -3*n + 0*n**2 - 4/3*n**3 - r. What is the first derivative of a(j) wrt j?
-8*j
What is the second derivative of -14*y**2 + 4*y + 14*y**2 - 10*y**3 - 3*y wrt y?
-60*y
What is the third derivative of -16*v**5 - 30*v**5 + 65*v**5 + 8*v**2 wrt v?
1140*v**2
Let p = -28 - -30. Let k(r) be the second derivative of 0 + r + 0*r**p - 1/4*r**4 + 1/6*r**3. Find the second derivative of k(c) wrt c.
-6
Let x(o) be the second derivative of o**6/30 - o**2 + 13*o. What is the first derivative of x(h) wrt h?
4*h**3
Let o(q) = -q + 3. Let i be o(0). Suppose -v = 2*m - m + 3, i = -4*m - v. What is the third derivative of 0*s**3 + 3*s**2 + m*s**3 - 2*s**5 wrt s?
-120*s**2
Let i(p) = p**3 + p**2 + p + 1. Let x(j) = -6*j**3 - 2*j**2 - 4*j - 4. Let d = 3 - 4. Let n(g) = d*x(g) - 4*i(g). Find the third derivative of n(o) wrt o.
12
Suppose -q = 5 - 17. Suppose 0 = 4*d + 4 - q. Find the second derivative of -g**2 + g**2 + 4*g**d - 2*g**2 + 2*g wrt g.
4
Let x(k) = -k**2 + 4 - 3*k - 2 + 0*k**2. Let p be x(-3). What is the second derivative of 4*f - p*f + 4*f**5 - f**5 wrt f?
60*f**3
Find the third derivative of c**3 - 29 - 5*c**2 + 29 wrt c.
6
Find the third derivative of -20*t**2 + 4 + 13*t**4 + 4 - 8 wrt t.
312*t
Let n(k) = -1. Suppose 2*c = 9 - 1. Let o(l) = l - 8. Let t(f) = c*o(f) - 28*n(f). What is the first derivative of t(r) wrt r?
4
Let j(n) be the third derivative of -1/30*n**5 + 3*n**2 + 0 + 0*n + 1/4*n**4 + 0*n**3. Find the second derivative of j(i) wrt i.
-4
Let x(i) be the first derivative of -29*i**3/3 + 7*i**2 - 21. Find the second derivative of x(q) wrt q.
-58
Let k(i) = 6*i**2 + 2*i + 1. Let g = 3 + -4. Let b be k(g). Find the first derivative of 5 + 2 - 3*c**2 - b wrt c.
-6*c
Let u(q) = 15*q**3 + 16*q**2 - 5. Let s(z) = 8*z**3 + 8*z**2 - 2. Let i(x) = -5*s(x) + 2*u(x). Find the third derivative of i(r) wrt r.
-60
Suppose -10 = -2*c - 0*c. Find the second derivative of -29*g**c + 32*g**5 + 8*g - 4*g wrt g.
60*g**3
Let j(w) be the second derivative of -w - 1/6*w**3 + 0 - 3/2*w**2. What is the first derivative of j(z) wrt z?
-1
Let l(a) = -a + 2. Let d be l(-3). Let t = d + 0. Find the third derivative of -5*x**2 + 4*x**3 - 4*x**3 + 6*x**2 + 2*x**t wrt x.
120*x**2
Let j = 1 - -1. Let n(x) = x**2 + 6*x + 2. Let v be n(-6). Find the third derivative of 6*b**4 - 6*b**4 - j*b**2 + v*b**6 wrt b.
240*b**3
What is the second derivative of -3*r**2 + 10*r - 7*r**2 - r**2 wrt r?
-22
Suppose 0 = -5*u - 21 + 66. Differentiate 13 - u*b**3 - 27 + 16 with respect to b.
-27*b**2
Let x be 3/(3/(-2)) - -4. Let q(z) be the first derivative of 0*z - 3 + z**3 + 1/2*z**x. Find the second derivative of q(w) wrt w.
6
Let q(t) = t**3 + 1. Let f be q(-1). Suppose f = -9*r + 6*r + 18. Differentiate -v - v - 3 + 0*v + r wrt v.
-2
Let i(s) = -s**4 - s**3 - s**2 - s - 1. Let c(a) = -6*a**4 - a**3 - a**2 + 4*a - 1. Let y(b) = -2*c(b) + 2*i(b). What is the second derivative of y(n) wrt n?
120*n**2
Let a(d) = -3*d. Let m(s) be the second derivative of -s**3/2 + s**2/2 - 6*s. Let r(w) = 6*a(w) - 5*m(w). What is the derivative of r(h) wrt h?
-3
Let p be (-5)/15 + (-2)/(-6). Differentiate -2*i + 3*i + 4 + p - 1 with respect to i.
1
What is the derivative of 78 - g - 85 + 3*g wrt g?
2
Let j(z) = 23*z**4 - 7*z**2. Let i(v) = 46*v**4 - 13*v**2. Let h(o) = 4*i(o) - 7*j(o). What is the third derivative of h(d) wrt d?
552*d
Let a(o) be the second derivative of 0*o**5 - 1/6*o**3 + 0*o**2 + 0 - 1/10*o**6 + o + 0*o**4. What is the second derivative of a(d) wrt d?
-36*d**2
What is the second derivative of 6*g**4 + 3*g - 7*g - 18*g wrt g?
72*g**2
Let y(w) be the third derivative of -5*w**4/12 + 4*w**3 - 6*w**2. Find the first derivative of y(b) wrt b.
-10
Let s(q) be the second derivative of -7*q**4/12 + 2*q**2 - 10*q. What is the first derivative of s(u) wrt u?
-14*u
Let t(y) be the first derivative of 2*y**3/3 + 13*y + 4. What is the derivative of t(g) wrt g?
4*g
Let w(j) be the first derivative of 11*j**7/7 - 13*j**3/3 + 35. What is the third derivative of w(g) wrt g?
1320*g**3
Let g = 2 + 3. Let o(w) = w**3 - 3*w**2 + 4*w - 2. Let i be o(2). What is the second derivative of -v + i*v - v**5 - v**g wrt v?
-40*v**3
Find the second derivative of 6*a - 5*a**4 + 17*a**2 - 24*a**2 + 7*a**2 wrt a.
-60*a**2
What is the derivative of -10 - 160*x**3 + 164*x**3 + 1 wrt x?
12*x**2
Let o(p) = -p**2 - 7*p + 2. Let c be o(-7). What is the third derivative of z**2 - 3*z**3 + z**3 + c*z**3 - 2*z**6 wrt z?
-240*z**3
Let o(h) = 2*h**2 + 34. Let t(a) = -2*a**2 - 35. Let k(q) = 6*o(q) + 5*t(q). What is the first derivative of k(d) wrt d?
4*d
Find the first derivative of -9*t + 5 + 6 - 7 - 11*t wrt t.
-20
Let i(y) be the second derivative of 5*y**4/12 - 5*y**3/3 - 8*y. What is the second derivative of i(n) wrt n?
10
Let c(s) be the third derivative of 0 + 0*s + 0*s**5 - 4*s**2 + 0*s**3 - 1/24*s**4 - 1/120*s**6. Find the second derivative of c(t) wrt t.
-6*t
Let x(q) be the second derivative of -3*q**4/4 + 5*q**2 + 7*q. Find the first derivative of x(a) wrt a.
-18*a
Find the second derivative of -6*s**4 - 12*s - 62*s**2 + 62*s**2 wrt s.
-72*s**2
Let r(h) = 3*h + 3. Let a be ((-3)/(-6))/(2/(-16)). Let o(q) = -3*q - 2. Let u = -4 + 1. Let g(j) = a*o(j) + u*r(j). Differentiate g(i) wrt i.
3
Let f(i) be the second derivative of -17*i**7/42 - 11*i**4/12 + 5*i. What is the third derivative of f(c) wrt c?
-1020*c**2
Let y(w) = 15*w**3 - 5*w**2 - 2. Let n(l) = -7*l**3 + 2*l**2 + 1. Let d(q) = -10*n(q) - 4*y(q). Differentiate d(m) wrt m.
30*m**2
Let d(r) = r**4 - 3*r**3 + 3*r**2 + 1. Let n(k) = k**4 + k**3 - k**2 - 1. Let y(u) = -d(u) - 3*n(u). Differentiate y(z) with respect to z.
-16*z**3
Find the first derivative of -b**2 - 2 + 1 + 9*b**2 + 11 wrt b.
16*b
Let i = 56 + -54. Let n(z) be the second derivative of 0*z**4 + 0*z**2 + 1/6*z**3 + 1/20*z**5 + i*z + 0. What is the second derivative of n(d) wrt d?
6*d
What is the first derivative of 7*x**4 - 15*x**2 + 15*x**2 + 5 wrt x?
28*x**3
Let x(z) be the second derivative of -5*z**7/21 + z**3 - 6*z. What is the second derivative of x(v) wrt v?
-200*v**3
Let z(d) = -5*d**2 + 5*d - 5. Let j(y) = -y**2 - 1. Let a(u) = 3*j(u) - z(u). Let p be a(3). Find the third derivative of -2*h**3 - h**2 + h**3 + p*h**2 wrt h.
-6
Let y(a) = -a + 9. Let w be y(7). Let h = 0 + w. Find the first derivative of 3*f**2 - 3*f**2 + 2*f**4 - h wrt f.
8*f**3
Let y(p) be the third derivative of 11*p**6/120 + 2*p**5/15 - 17*p**2. Find the third derivative of y(a) wrt a.
66
Let c(x) be the second derivative of -x**6/30 + x**4/6 + x**2/2 + 3*x. Let w(k) be the first derivative of c(k). What is th