 4. Let y(b) be the first derivative of m(b). Find the first derivative of y(z) wrt z.
6*z
Let c(f) be the second derivative of 0*f**4 - 3*f + 0 + 1/6*f**3 + 1/20*f**5 + 0*f**2. What is the second derivative of c(t) wrt t?
6*t
Let a be (-4)/8 - 50/(-4). Suppose a = 2*s - 0*s. What is the first derivative of 3*t**2 + 4*t**2 - s*t**2 + 2 wrt t?
2*t
What is the third derivative of -4*x**4 - 7 - 2 + 9 + 2*x**2 wrt x?
-96*x
Let z be (3 - -1) + (-3)/3. What is the first derivative of -z*q**2 - 2*q**2 + 0*q**2 + 4*q**2 - 6 wrt q?
-2*q
Let m(s) be the third derivative of s**7/420 - s**6/360 + s**3/2 - 2*s**2. Let w(h) be the first derivative of m(h). Find the third derivative of w(n) wrt n.
12
Suppose -4*s + 18 = n + 1, s + 3*n - 18 = 0. Suppose -12 = -3*l + 2*z, 0 = -3*l + 3*z + 20 - 8. Differentiate -l + 3 - 7*w + s*w + 3*w wrt w.
-1
Let b be 2 + -1 + 3 + -1. Differentiate 2*a + a - 2*a + 3 - b*a wrt a.
-2
Let h be ((-24)/(-30))/((-4)/(-10)). Find the third derivative of -13*l**2 + h*l**2 + 5*l**4 + 6*l**2 wrt l.
120*l
Let v(g) = -g**3 + 2*g**2 + 3*g - 2. Let t be v(2). Let d be 8/(-6)*9/(-6). Find the third derivative of 2*n**2 - t*n**2 + 4*n**d + n**3 wrt n.
6
Let n = -3 + 5. Let y(t) = 4*t - 3. Let a be y(n). Find the third derivative of 3*m**2 + m**5 - 4*m**2 - 3*m**a + 3*m**2 wrt m.
-120*m**2
Find the third derivative of 3*n**4 - 25*n**2 + 7*n**4 + 23*n**2 wrt n.
240*n
Let h = 4 - 2. Suppose h*c - c - 3 = 0. Find the first derivative of 5*i**c - 2*i**3 + 2 - 3*i + 3*i wrt i.
9*i**2
Suppose -2*z = -7*z - 4*i + 27, z = i. What is the second derivative of 4*s**2 + s + z*s**2 - 2*s**3 - 7*s**2 wrt s?
-12*s
Let a(r) be the second derivative of r**6/5 + 3*r**2 - 2*r. Differentiate a(y) with respect to y.
24*y**3
Let z(l) be the third derivative of 19*l**7/210 - 13*l**4/12 - 15*l**2. What is the second derivative of z(c) wrt c?
228*c**2
Let o(u) = -u + 6. Let f(k) = -2*k + 13. Let z(q) = 2*f(q) - 5*o(q). What is the derivative of z(m) wrt m?
1
Suppose -2*n + 9 = -y, 3*n - 28 = 4*y - 7. What is the third derivative of -6*o**3 + 6*o**n - 2*o**2 + 2*o**4 wrt o?
48*o
Let a(t) be the first derivative of -3*t**4 + 7*t - 3. What is the derivative of a(k) wrt k?
-36*k**2
Let l(r) = -2*r - 8. Let f be l(-6). Suppose -f*m + 4 + 8 = 0. What is the second derivative of -2*v + 2*v**3 + 3*v**2 - m*v**2 wrt v?
12*v
Find the third derivative of 7*g**5 - 4*g**2 - 2*g**2 - 2*g**2 wrt g.
420*g**2
Let m(s) = 49*s - 59. Let p(b) = 1. Let x(l) = -m(l) - 5*p(l). Differentiate x(q) wrt q.
-49
Find the third derivative of 73*u - 5*u**2 - 9*u**3 - 73*u wrt u.
-54
Let f(i) = 51*i**3 - 81*i + 9. Let a(d) = 26*d**3 - 41*d + 5. Let c(s) = 9*a(s) - 5*f(s). What is the second derivative of c(l) wrt l?
-126*l
Suppose 1 - 2 = 3*l - 2*j, -4*j - 4 = 0. Let p = l + 3. Find the third derivative of 3*n**3 - 3*n**3 + 3*n**3 - 2*n**3 + 3*n**p wrt n.
6
Let n(s) = -2*s**2 - 7. Let p(u) = -u**2. Let d(h) = n(h) + 3*p(h). Differentiate d(j) wrt j.
-10*j
Suppose -4*p + 3*u = -2*p - 5, -5*p - 3*u = -23. Differentiate -p + 5*c + 0*c + 1 + 5 wrt c.
5
Differentiate -10 + 22*v**3 - 18 + 58 - 10 with respect to v.
66*v**2
Suppose -d + 22 + 43 = 4*o, -3*d = -2*o + 15. Suppose -5*x = -2*q - o, -x - 10 = x - 4*q. Find the second derivative of 5*f**5 - 3*f + f**x + f - 4*f**5 wrt f.
40*f**3
Let m(k) = k + 7. Let j be m(-5). Suppose 4*q = -4*t, 2*q + j*t = t + 3. What is the second derivative of -5*v**3 + 2*v**3 + v + 2*v**q wrt v?
-6*v
Let m(u) be the third derivative of 0*u**3 - 1/8*u**4 + 0*u**6 - 6*u**2 + 0*u + 0 + 2/105*u**7 + 0*u**5. What is the second derivative of m(o) wrt o?
48*o**2
Let p(l) be the third derivative of 0*l**5 - 1/210*l**7 + 0*l - 4*l**2 + 0*l**6 + 0 + 0*l**4 + 1/3*l**3. What is the first derivative of p(w) wrt w?
-4*w**3
Let b(p) = -3*p**2 - 9*p - 11. Let j(z) = -z**2 - 2*z - 3. Let t(o) = 2*b(o) - 9*j(o). What is the derivative of t(a) wrt a?
6*a
Let p(i) = -i**6 + i + 1. Let a(q) = 7*q**6 + 2*q**2 - 6*q - 6. Let o(y) = a(y) + 6*p(y). Find the third derivative of o(r) wrt r.
120*r**3
Let x(a) = 2. Let t(w) = w - 23. Let h(u) = 2*t(u) + 22*x(u). What is the first derivative of h(y) wrt y?
2
Suppose -2*r - 4*p + 16 = 0, p = -2*r + 5*p - 8. Let m(s) be the first derivative of -2*s + r - 1/2*s**2. What is the derivative of m(k) wrt k?
-1
Differentiate -91 + 44 + 44 + 35*f**4 wrt f.
140*f**3
Suppose -r + 14 = -0*t + t, 4*r - 5*t - 20 = 0. Let d = r - 6. Find the third derivative of 2*k**4 - 4*k**d + k**4 + 2*k**2 wrt k.
-24*k
Suppose 16*f - 3*f = 65. Let r(t) = -t**3 + t**2 + 5. Let c be r(0). Find the second derivative of 4*x**c - 9*x + x**f + 6*x - 6*x**5 wrt x.
-20*x**3
Let x(d) = d**3 - d**2 + d - 1. Let s(q) = 10*q**3 - 7*q**2 + 2*q - 2. Let i(y) = 3*s(y) - 6*x(y). What is the third derivative of i(c) wrt c?
144
Suppose 3*s - 5 = -4*t, 2*s + 3*s = -5*t + 15. Find the second derivative of -s*m**3 + 4*m - 2*m + 5*m**3 wrt m.
-12*m
Let f(v) be the second derivative of v**6/60 + v**3/2 + 2*v**2 - 2*v. Let z(m) be the first derivative of f(m). Find the first derivative of z(y) wrt y.
6*y**2
Let i(z) be the second derivative of 0 - 1/3*z**4 + 0*z**3 + 7*z - 1/2*z**2. Find the first derivative of i(w) wrt w.
-8*w
Let r be (8 - 8)/((-4)/(-6)*3). Let p(d) be the third derivative of 1/8*d**4 - 1/30*d**5 + r + 0*d**3 - 4*d**2 + 0*d. Find the second derivative of p(x) wrt x.
-4
What is the derivative of 22*r**2 - 12*r**2 - 14*r**2 - 2 wrt r?
-8*r
Suppose 337 = 2*j + 45. Find the second derivative of 146*x**3 + 5*x**5 + 7*x - j*x**3 wrt x.
100*x**3
Suppose 5*t + t + 12 = 0. Let r(f) = -f. Let v(a) = -5*a**2 + 2*a + 3. Let s(l) = t*r(l) - v(l). What is the first derivative of s(k) wrt k?
10*k
Let r(w) be the first derivative of 7*w**5/60 - 5*w**3/6 + 5*w**2/2 + 8. Let h(d) be the second derivative of r(d). What is the derivative of h(a) wrt a?
14*a
Let x(s) be the third derivative of -49*s**5/60 + s**4/12 + s**3/2 + 41*s**2 + s. Find the second derivative of x(n) wrt n.
-98
Let v(k) be the first derivative of 3*k**5/20 - k**4/4 + 2*k + 4. Let b(r) be the first derivative of v(r). Find the third derivative of b(d) wrt d.
18
Let s(b) = -b**2 + 5*b + 8. Let j be s(6). Let d(o) = o**2 - 2. Let r be d(j). Find the third derivative of -3*t**2 + 2*t**2 - t**r - 2*t**6 wrt t.
-240*t**3
Find the second derivative of 30*h**3 + 2*h**5 - 30*h**3 + 5*h wrt h.
40*h**3
Find the third derivative of 10*p**2 - 2*p**5 + 5*p**5 - 6*p**2 wrt p.
180*p**2
Let b(u) = 10*u**2 + 11*u - 24. Let l(a) = -2*a**2 - 2*a + 5. Let m(t) = -2*b(t) - 11*l(t). Find the first derivative of m(o) wrt o.
4*o
Let j(w) be the second derivative of -w**7/504 - 7*w**6/720 + w**4/2 - w. Let k(h) be the third derivative of j(h). Find the second derivative of k(x) wrt x.
-10
Let c = -3 + 9. Let z be (-1)/c*-4*3. What is the first derivative of -2*r**z + 3 - 2*r**2 + 3*r**2 - 2 wrt r?
-2*r
Let o = -27 + 32. Let i(a) be the third derivative of 2*a**2 + 0*a**3 + 0*a - 1/20*a**o + 1/12*a**4 + 0. Find the second derivative of i(f) wrt f.
-6
Let y(n) be the first derivative of 6*n**7/7 + 4*n**3/3 - 2. What is the third derivative of y(w) wrt w?
720*w**3
Let o(g) = g**2 + 1. Let w = 4 + -6. Let t be o(w). Find the third derivative of -f**t - f**2 + 12*f**4 - 12*f**4 wrt f.
-60*f**2
Let f(m) = 6*m**2 + 11. Let b(u) = -3*u**2 - 6. Let s(z) = 7*b(z) + 4*f(z). Differentiate s(h) wrt h.
6*h
Let l(p) be the third derivative of -2*p**6/5 + 5*p**5/12 + 7*p**2 + 6. Find the third derivative of l(c) wrt c.
-288
Let a(x) = 4*x - 4. Let m(i) = 9*i - 9. Let b(p) = 13*a(p) - 6*m(p). What is the derivative of b(d) wrt d?
-2
Let f(c) = 9*c**4 + 15*c**3 + 15*c**2 - 21*c + 15. Let x(l) = -l**3 - l**2 + l - 1. Let a(w) = -f(w) - 15*x(w). What is the second derivative of a(j) wrt j?
-108*j**2
Let w = -1 + 5. Suppose 4*b = w*z, -z + 12 = -0*z + 3*b. Find the second derivative of -d - 2*d**z + 2*d**3 - 3*d**3 wrt d.
-18*d
Suppose -2*g + 3 = 5. Let p(u) = -u + 1. Let s(h) = 10*h**2 + 16*h - 8. Let y(a) = g*s(a) - 8*p(a). What is the second derivative of y(j) wrt j?
-20
Suppose -5*v = 5*g, 0 = g - 0*g. Differentiate -1 + v + 2 + 3 - h**3 wrt h.
-3*h**2
Let i(x) = -9*x - 6. Let u(m) = -9*m - 5. Let z(h) = -7*i(h) + 6*u(h). Differentiate z(l) wrt l.
9
Suppose -3*d = -4*d 