 Find the second derivative of i(m) wrt m.
20*m**3
What is the second derivative of 8*u + 4*u - 16*u**3 - 69*u**2 + 69*u**2 wrt u?
-96*u
Let w = 18 + -13. Suppose -5 = -u, -3*q + 12 = 2*u - 7. What is the second derivative of -w*r - 2*r**q + r + 3*r wrt r?
-12*r
Let a(b) = 5*b**3 + 3*b - b**2 - 4*b**3 - 2*b. Let t(z) = -9*z**3 + 11*z**2 - 11*z + 1. Let d(y) = -22*a(y) - 2*t(y). Differentiate d(x) with respect to x.
-12*x**2
Let o(m) = 2*m**4 - 9*m**3 + m**2 + 9*m. Let k(w) = -w**3 + w. Let u(p) = -18*k(p) + 2*o(p). Find the third derivative of u(d) wrt d.
96*d
Let n(b) be the second derivative of 29*b**6/30 + 17*b**2 - 33*b. Find the first derivative of n(d) wrt d.
116*d**3
Let a(g) = 2*g**4 - 6*g**3 - 6*g**2 + 7. Let f(c) = -2*c**4 + 7*c**3 + 7*c**2 - 7. Let m(t) = -7*a(t) - 6*f(t). What is the derivative of m(p) wrt p?
-8*p**3
Suppose 2 + 16 = d. What is the second derivative of -18 - 6*z - z**5 + d wrt z?
-20*z**3
Let j = 11 - 8. Find the second derivative of 3*k**3 + j*k - 7*k + k wrt k.
18*k
Suppose -34 = -4*u + 6. Suppose -2 + u = 4*n. Find the first derivative of j**2 - 3 - 4*j**2 + j**n wrt j.
-4*j
Suppose 4*f = 16 - 4. Suppose 0*h + f*d + 21 = 5*h, 0 = -3*h - d + 7. What is the first derivative of -2*t**3 + 3*t + h - 6*t + 3*t wrt t?
-6*t**2
Let k = -2 - 1. Let r = k - -6. What is the third derivative of 3*v**2 - v**2 + v**2 - 3*v**3 + 0*v**r wrt v?
-18
Let c(w) be the third derivative of 0 + 0*w**4 + 1/60*w**5 + 0*w + 2*w**2 + 1/6*w**3. Find the first derivative of c(a) wrt a.
2*a
Suppose 0*q + 25 = 5*q. Find the second derivative of 2*z + z**2 + 4*z - q*z wrt z.
2
Let b(z) = z**3 + z - 1. Let j(s) = -7*s**3 - 23*s**2 + 4*s - 4. Let x(g) = 4*b(g) - j(g). What is the third derivative of x(r) wrt r?
66
Let y(q) = -q**3 + q**2 + 1. Let s(z) = -2*z**3 + 3*z**2 + 6. Suppose -t + 6 = t. Let n(r) = t*y(r) - s(r). What is the first derivative of n(m) wrt m?
-3*m**2
Suppose -o - y + 6 = -0*y, 5*o - 2*y = 2. Suppose 6 = 5*p - 4. Find the third derivative of w**2 - 4*w**o + 2*w**6 + 6*w**p wrt w.
240*w**3
Suppose 0 = -v - 0*v. Let g(l) be the first derivative of 1/3*l**3 + v*l**2 + 2 - 2*l. What is the first derivative of g(h) wrt h?
2*h
Let c(n) be the second derivative of -n**4/12 - 7*n**3/6 + n**2 - 2*n. Let r be c(-7). What is the third derivative of -z**2 - r*z + z**3 + 2*z wrt z?
6
Let a(y) = y**5 - y**2 + 1. Let q(k) = -k**5 - k**3 + 6*k**2 + 2*k - 7. Let w(c) = -6*a(c) - q(c). What is the second derivative of w(o) wrt o?
-100*o**3 + 6*o
Differentiate j**3 + 68 - 73 + 8*j**3 wrt j.
27*j**2
Let m = 6 + -12. Let q = m - -10. Find the third derivative of o**4 - 5*o**4 - o**2 + 2*o**q wrt o.
-48*o
What is the second derivative of 2*u**2 + 17*u**2 + 9*u - 29*u**2 wrt u?
-20
Let l(d) be the first derivative of -1/6*d**3 - 3/2*d**2 - 2 + 3*d. Let b(k) be the first derivative of l(k). Differentiate b(a) wrt a.
-1
Let n(x) be the third derivative of -7*x**5/60 + x**4/6 - 6*x**2. Find the second derivative of n(w) wrt w.
-14
Differentiate 44 + 3*z**4 - 196*z**2 + 196*z**2 + z**4 wrt z.
16*z**3
Let b(y) = 0*y - 2*y + 3*y - 1 + 3*y. Let f(c) = -5*c - 1 - 10*c + 5. Let k(o) = 22*b(o) + 6*f(o). What is the first derivative of k(w) wrt w?
-2
Suppose 2*g - 16 = -4*n, 3*n - 2*g - 1 = 4. What is the derivative of -4 - 4*o**n - 4*o + 5*o - o wrt o?
-12*o**2
Let j be (-1)/2 + 10/4. What is the first derivative of -2 - 12*w - j*w**2 + 12*w wrt w?
-4*w
Let a(h) = -49*h**2 + 8*h + 58. Let z(j) = -33*j**2 + 5*j + 39. Let g(b) = 5*a(b) - 8*z(b). Find the first derivative of g(s) wrt s.
38*s
What is the third derivative of 7*s**4 - 2*s**2 - 2*s**4 - 4*s**2 wrt s?
120*s
Let c = -1 + 1. Let n(j) = j**2 - 11*j - 12. Let t be n(12). Find the second derivative of 2*k + c - k**3 + t wrt k.
-6*k
Let m(q) be the second derivative of 0 + 0*q**5 + 0*q**4 + 2*q + 1/3*q**3 + 1/30*q**6 + 0*q**2. What is the second derivative of m(o) wrt o?
12*o**2
Differentiate -12*p - 4 - 6*p**2 - 59 + 4*p**2 + p wrt p.
-4*p - 11
What is the second derivative of -1 - 4*m + m**3 + 1 wrt m?
6*m
Let d = -4 - -4. Suppose 3*b + d = 5*k - 25, 0 = -4*b. What is the second derivative of -l**5 - 2*l**k - 2*l - l wrt l?
-60*l**3
Let m(i) be the third derivative of -i**6/15 - 7*i**4/24 - i**2. What is the second derivative of m(w) wrt w?
-48*w
Differentiate 0*g**3 - 3 - 13*g**3 + 14 with respect to g.
-39*g**2
Let p(h) be the third derivative of 0*h + 1/15*h**5 + 0 + 0*h**3 + 0*h**4 + 1/20*h**6 + 2*h**2. Find the third derivative of p(k) wrt k.
36
Let o(u) = 7*u**2 + 2. Let t = 12 - 8. Let f(w) = w**2 + 1. Let a(z) = t*f(z) - o(z). Find the first derivative of a(y) wrt y.
-6*y
Suppose -s + 1 = -2. Find the third derivative of d**2 - d**2 - 5*d**s + 8*d**2 - 4*d**2 wrt d.
-30
Let w(g) be the third derivative of -7*g**5/20 - g**3/2 + 32*g**2. What is the derivative of w(p) wrt p?
-42*p
Differentiate -102 - 106 + 187 + 10*n wrt n.
10
Differentiate 858*z - 858*z - 14 + 24*z**4 wrt z.
96*z**3
Let l(v) be the third derivative of -7*v**4/24 - v**3 - 7*v**2. Differentiate l(o) with respect to o.
-7
What is the second derivative of -2*n - 4*n + 6*n**2 + 5*n wrt n?
12
What is the first derivative of 5 + 5*j - 4*j + 3 + 8*j wrt j?
9
Let g be 3/6 + (-1)/2. Let f(l) = -l + 2. Let j be f(g). Find the third derivative of 4*o**5 + 5*o**2 - j*o**5 - 3*o**2 - 5*o**5 wrt o.
-180*o**2
Let v(q) = q**2 - 6*q + 5. Let w be v(5). Differentiate 0 + w + 1 + 3*j wrt j.
3
Let v(c) = -5*c**2 + 17*c + 9. Let o(f) = 1 - 4*f + f**2 + 5 - 8. Let h(d) = 9*o(d) + 2*v(d). Find the second derivative of h(p) wrt p.
-2
Suppose -4*g = -4*c - 12 + 4, 4*g + 5*c = 8. What is the first derivative of -3*u**3 + 0 - g + 0*u**3 wrt u?
-9*u**2
Let l(p) be the second derivative of -p**5/30 + p**3/2 - 3*p**2/2 + 2*p. Let h(u) be the first derivative of l(u). Find the first derivative of h(w) wrt w.
-4*w
Let s(n) be the first derivative of 7*n**4/4 - n**3/3 - 8. What is the third derivative of s(d) wrt d?
42
Let r be 1/((6/(-10))/(-3)). Suppose -r*k = -4*k. Find the third derivative of k*n**6 + n**2 + n**6 + 2*n**2 wrt n.
120*n**3
Let c(i) = -3*i + 8. Let z(q) = 7*q - 17. Let n(t) = -5*c(t) - 2*z(t). Differentiate n(v) with respect to v.
1
Let t(x) be the third derivative of 5*x**8/336 + x**4/3 - 8*x**2. Find the second derivative of t(z) wrt z.
100*z**3
Let y(r) be the first derivative of 4*r**5/5 - 4*r**2 + 2. Find the second derivative of y(m) wrt m.
48*m**2
Let t(k) be the second derivative of -k**6/120 - k**5/20 - k**2/2 - k. Let y(q) be the first derivative of t(q). Find the third derivative of y(f) wrt f.
-6
Let k be (4 + (-85)/20)*(-1 + 0). Let b(o) be the first derivative of 0*o**3 + 3/2*o**2 + 0*o + k*o**4 + 1. What is the second derivative of b(t) wrt t?
6*t
Let q(t) = t**2 - 6*t + 1. Let s be q(6). Let z = s + 1. Find the second derivative of 28 + j - 28 - 4*j**z wrt j.
-8
Let n(i) be the second derivative of -17*i**6/30 + 7*i**4/6 - 6*i. What is the third derivative of n(r) wrt r?
-408*r
Let m(h) be the first derivative of 7*h**2/2 - 2*h + 7. Find the first derivative of m(z) wrt z.
7
Let b(t) be the third derivative of 1/3*t**3 - 1/40*t**6 + 0 + 0*t + 0*t**5 + 0*t**4 + 3*t**2. What is the first derivative of b(y) wrt y?
-9*y**2
Let f = -6 + 17. Let x be 1 + 0 + f + -1. What is the second derivative of 12*l - 1 + 1 - x*l - 3*l**4 wrt l?
-36*l**2
Let k be (4/(-6))/(2/(-9)). What is the third derivative of -k*i**6 + 3*i + 6*i**2 - 4*i**2 - 3*i wrt i?
-360*i**3
Suppose 4*n - n - 6 = 0. Find the third derivative of -4*r**3 + r**2 + 5*r**3 + n*r**3 wrt r.
18
Let x be 8/10*(-60)/(-8). Find the first derivative of x + h - 7 + 2*h**2 - h wrt h.
4*h
Suppose 2*r = -4*q - 0*q - 4, 0 = 3*r + 5*q + 4. Find the second derivative of l - l + 5*l - r*l**5 - l**5 wrt l.
-60*l**3
Let c = 16 - 11. What is the second derivative of -2*u - 2*u**5 + 0*u + 3*u**c wrt u?
20*u**3
Let r(x) be the first derivative of x**6/6 - x**2/2 + 4*x - 3. Let b(y) be the first derivative of r(y). Differentiate b(v) wrt v.
20*v**3
Let f = -9 - -11. Differentiate -1 - f*v**4 + 11*v**4 - 8*v**4 - 2 wrt v.
4*v**3
Let n(h) be the third derivative of h**5/60 + 7*h**3/6 - 7*h**2. What is the derivative of n(v) wrt v?
2*v
Let d(k) = 6*k**2 + 3*k. Let t(z) = -3*z**2 - 2*z. Let u = 5 +