(a) = -20*a**3 + 5*a + 30. Let n(i) = 20*i**3 - 6*i - 31. Let f(t) = 5*n(t) + 6*y(t). What is the derivative of f(m) wrt m?
-60*m**2
Let f(d) = -4*d**2 - 3. Let c(n) = -3*n**2 - 3. Let m(v) = -4*c(v) + 5*f(v). Differentiate m(w) with respect to w.
-16*w
Suppose -5*u + 8 + 5 = b, 4*u - 2 = 2*b. What is the second derivative of 4*x + 5*x**3 - 2*x**2 + 2*x**u wrt x?
30*x
Let z(y) be the second derivative of 47*y**4/12 - 28*y**2 + y + 6. Differentiate z(i) wrt i.
94*i
What is the second derivative of -2*p**5 + p**5 - 5*p**5 - 3*p**5 + 4*p wrt p?
-180*p**3
Let w(j) = -4*j**3 - 5*j**2 + 3*j - 3. Let n(m) = -m**2 + m - 1. Let t be (-1 - 0)/(2/6). Let u(b) = t*n(b) + w(b). Find the third derivative of u(x) wrt x.
-24
Find the second derivative of 3*m**3 - 5*m - 4*m**3 + m - m**3 wrt m.
-12*m
Suppose 5*j - 5 = 10. Suppose -2*o - 24 = -2*v + j*o, 10 = 3*v - o. Differentiate h**2 + 2 + 0*h**2 + 0*h**v with respect to h.
2*h
What is the derivative of -13 - 11*i**3 + 9 + 9 wrt i?
-33*i**2
Let o(q) be the first derivative of 0*q**2 - 2 + 2/5*q**5 + q**3 + 0*q**4 + 0*q. What is the third derivative of o(c) wrt c?
48*c
Let m(v) be the second derivative of v**8/56 + v**4/24 - 3*v**2 - 6*v. Let d(h) be the first derivative of m(h). What is the second derivative of d(o) wrt o?
120*o**3
Let y(x) be the first derivative of 0*x**2 + 1 + 4/5*x**5 - x + 0*x**3 + 0*x**4. Differentiate y(b) wrt b.
16*b**3
Suppose -5*i + 2*i + 15 = 0. Find the second derivative of u**i - 2*u**5 - 3*u - u**5 wrt u.
-40*u**3
Let k(o) = -10*o - 4. Let u(g) = 10*g + 5. Let t(r) = 3*k(r) + 4*u(r). What is the derivative of t(n) wrt n?
10
Let v(g) be the first derivative of -g**4/3 + g**3/6 + g - 3. Let y(a) be the first derivative of v(a). What is the second derivative of y(k) wrt k?
-8
Let t(z) be the third derivative of -z**5/30 + 3*z**4/8 - z**3/3 - 8*z**2. Let v(l) be the first derivative of t(l). Differentiate v(q) wrt q.
-4
Let k = 15 - 9. Find the third derivative of -9*z**2 + k*z**5 - 2*z**5 - z**5 wrt z.
180*z**2
Let g = 5 + -2. Suppose 0 = 3*i - i - 8. What is the first derivative of 4 + 1 - g*j - i wrt j?
-3
What is the first derivative of -10 + 7 + 0*r**2 + r**2 wrt r?
2*r
Let u(g) = g - 5. Let a be u(5). Find the second derivative of t + 2*t**2 + a*t + t wrt t.
4
Let k(m) be the first derivative of 0*m**4 - 1/3*m**3 + 0*m**2 + 1/5*m**5 + 0*m + 5. What is the third derivative of k(o) wrt o?
24*o
Let o(s) = -16*s**3 + 19*s**2 - 7. Let i(j) = 8*j**3 - 9*j**2 + 4. Let u(g) = -7*i(g) - 4*o(g). What is the third derivative of u(p) wrt p?
48
Let l(w) be the second derivative of -w**5/20 - 9*w**2/2 - 8*w. What is the first derivative of l(x) wrt x?
-3*x**2
Let z(j) be the first derivative of 2*j**5 + 13*j**2/2 + 10. Find the second derivative of z(u) wrt u.
120*u**2
Let w be (-2)/9 + 208/288. Let h(y) be the second derivative of 0 - y**2 + 2*y + w*y**3. Differentiate h(q) wrt q.
3
Let t(q) be the first derivative of q**5/12 - q**3/2 - 3*q**2/2 + 3. Let d(b) be the second derivative of t(b). Differentiate d(w) with respect to w.
10*w
Suppose 0 = 5*j - 3 - 2. Differentiate -k**3 - j - 3*k**3 + 2*k**3 wrt k.
-6*k**2
Let w be (54/12)/(3/4). Find the second derivative of 7*m**5 + 0*m**5 + 4*m - w*m wrt m.
140*m**3
What is the third derivative of 15*x**4 - 3*x**2 - x**2 - 3*x**2 + 0*x**2 wrt x?
360*x
Suppose 2*w + 2*w - 16 = 0. Suppose 2*j - 18 = -w*u, 3*j = -u - 0*j + 2. Differentiate 1 + 7*v - u*v - 3 wrt v.
2
Let s(i) be the third derivative of -i**8/560 - i**4/24 - i**3/2 - i**2. Let n(y) be the first derivative of s(y). What is the first derivative of n(v) wrt v?
-12*v**3
Let n(m) = -7*m**3 - 5*m**2 + 16*m. Let o(t) = -7*t**3 - 4*t**2 + 15*t. Let c(h) = 4*n(h) - 5*o(h). What is the second derivative of c(u) wrt u?
42*u
Suppose 5*t - 4*d - 22 = 0, -5*t + 14 = -t - 2*d. Differentiate -t - 20*k + 1 + 14*k wrt k.
-6
Suppose -9*c + 2*c = -14. Let s(i) be the third derivative of 0 + 1/6*i**4 + 0*i**3 - 4*i**c + 0*i - 1/20*i**5. What is the second derivative of s(y) wrt y?
-6
Let u(s) be the third derivative of 0 + 1/8*s**4 + 1/60*s**6 + 3*s**2 + 0*s**3 + 0*s + 0*s**5. Find the second derivative of u(h) wrt h.
12*h
Let u be 2/(-7) + 2/7. Let s be 3 - 0/(2 - u). What is the derivative of 0*o**3 - 1 + 2*o**s - o**3 wrt o?
3*o**2
What is the third derivative of 0*x + 0*x + 24*x**4 - 6*x**2 - 3*x**4 wrt x?
504*x
Let o(u) = -u - 1. Let p = 1 - -5. Let t(k) = 7*k + 4. Let x(b) = p*o(b) + t(b). Differentiate x(j) wrt j.
1
What is the derivative of -6*t**3 - 19 - 20*t + 55 + 15*t**3 - 11*t**3 wrt t?
-6*t**2 - 20
Let y(u) = -43*u**2 + 37*u - 1. Let a(b) = -b**2 + b + 1. Let l(w) = a(w) + y(w). Find the second derivative of l(d) wrt d.
-88
What is the first derivative of 12 + 28*q + 1 + 11 wrt q?
28
Suppose 0 = 2*u - 3*y - 5, 0 = 3*u + u + 4*y. Differentiate -u - 2*h + 2 - h with respect to h.
-3
Let t(v) = -v**4 - v**3 - v - 1. Let c(n) = -5*n**4 + 5*n**3 + 5*n - 3. Let p(w) = -2*c(w) - 10*t(w). Differentiate p(h) with respect to h.
80*h**3
Let k(g) = -g**2. Let m(h) = 17*h**2 - 14. Let i(d) = -3*k(d) + m(d). Differentiate i(p) wrt p.
40*p
Suppose 0*a + 17 = 3*a - 2*r, a = -r - 1. Find the second derivative of s**5 + 6*s - 9*s**5 - a*s wrt s.
-160*s**3
Let r(f) = -14*f**4 - 6*f - 16. Let y(h) = 15*h**4 + 7*h + 17. Let l(p) = 7*r(p) + 6*y(p). Differentiate l(b) with respect to b.
-32*b**3
Let g(u) be the third derivative of u**7/210 + u**5/120 - u**3/2 + 2*u**2. Let f(y) be the first derivative of g(y). Find the second derivative of f(a) wrt a.
24*a
Let n(d) be the third derivative of d**8/112 - d**4/6 - 5*d**2. Find the second derivative of n(g) wrt g.
60*g**3
Suppose 5*o - 5 = 0, 5 = -5*r - 5*o + 40. What is the third derivative of 3*k**2 - k**6 - 3*k**6 + 0*k**r + 0*k**6 wrt k?
-480*k**3
Let u be (-2)/(-10) - (-1)/(-5). Suppose u*x + 8 = 2*x. What is the third derivative of l**2 - x*l**2 - 2*l**4 + l**4 - l**2 wrt l?
-24*l
Let y(b) be the third derivative of 4*b**7/105 - b**5/30 - 3*b**2. Find the third derivative of y(z) wrt z.
192*z
Let y(k) be the third derivative of 0*k + 0*k**5 + 0*k**6 - 1/21*k**7 + 2*k**2 + 0*k**4 + 3/2*k**3 + 0. What is the derivative of y(i) wrt i?
-40*i**3
Suppose 16 = 2*y - 5*c, -4*y + y + 3*c = -15. Let l = y + 5. Find the third derivative of -b**3 - 6*b**3 + l*b**3 + b**2 - 3*b**3 wrt b.
-12
What is the second derivative of -26*y**2 - 52*y + 15*y + 6*y**2 - 5*y**2 wrt y?
-50
What is the derivative of -11 - 17*k - 21*k + 38*k - 7*k**3 wrt k?
-21*k**2
Let d be (-4)/6*(-45)/10. What is the second derivative of -a - 3*a**2 + 6*a**2 + d*a wrt a?
6
Let x = 4 + -1. Suppose -k = -x - 1. What is the second derivative of -2*g**5 - g - g**4 - 3*g**4 + 4*g**k wrt g?
-40*g**3
Let f(s) be the first derivative of -2*s**7/7 - 11*s**3/3 + 4. Find the third derivative of f(k) wrt k.
-240*k**3
Differentiate -3*n + 6*n - 3*n + 29 - 25*n**4 with respect to n.
-100*n**3
Let k(h) = h - 7. Let a be k(0). Let y = a - -11. Find the second derivative of -4 - i + 3*i**y + 4 wrt i.
36*i**2
Let g = 24 + -24. Let k(c) be the first derivative of 0*c**4 + c**2 - 1/2*c**6 - 2 + 0*c**5 + g*c + 0*c**3. Find the second derivative of k(q) wrt q.
-60*q**3
Let o(u) be the second derivative of 0*u**3 + 0*u**4 + 4*u + 0*u**5 - 3/2*u**2 + 0 + 1/5*u**6. Find the first derivative of o(m) wrt m.
24*m**3
Let k(n) = -7*n**4 - 5*n**2 - 5*n. Let d(t) = 4*t + t**4 + 3*t**2 + 2*t**4 - 2*t. Let p(z) = -5*d(z) - 2*k(z). What is the third derivative of p(u) wrt u?
-24*u
Let i(l) be the third derivative of 0*l + 0*l**4 - 2*l**2 + 0 - 1/15*l**6 - 1/6*l**5 + 0*l**3. What is the third derivative of i(t) wrt t?
-48
Let a = 11 - 6. Find the third derivative of -5 + 5 + a*v**4 - 2*v**2 - 2*v**4 wrt v.
72*v
Let g(l) = -l - 5. Let z be g(-7). What is the first derivative of -4 - 2 + 4 + z*c**3 wrt c?
6*c**2
Let j(f) be the third derivative of -f**6/360 + f**4/24 + f**3/3 - 3*f**2. Let h(m) be the first derivative of j(m). What is the first derivative of h(x) wrt x?
-2*x
Let p(u) be the third derivative of 0*u**4 + 1/20*u**5 - 1/6*u**3 - 6*u**2 + 0*u + 0. Differentiate p(q) wrt q.
6*q
Let q(c) = -61*c**3 + 66*c**2 - 3*c + 3. Let x(f) = -62*f**3 + 65*f**2 - 4*f + 4. Let m(z) = 4*q(z) - 3*x(z). What is the third derivative of m(r) w