1). Let d(m) be the third derivative of -1/30*m**5 + m**2 + 0*m - 1/2*m**f + 0*m**4 + 0. Differentiate d(a) with respect to a.
-4*a
Let u(p) be the first derivative of -2/3*p**3 + 0*p + 3 + 3/2*p**2. What is the second derivative of u(k) wrt k?
-4
Let c(h) be the second derivative of 0*h**5 - 7*h + 1/42*h**7 + 0*h**4 - 1/2*h**3 + 0 + 0*h**2 + 0*h**6. Find the second derivative of c(m) wrt m.
20*m**3
Suppose 3 - 9 = -2*f. Find the third derivative of -8*g**3 - g**2 + 13*g**f - 5*g**3 + 7*g**4 wrt g.
168*g
Suppose -4*k + 12 = -k. What is the second derivative of k*b**3 + 3*b + 69 - 69 wrt b?
24*b
Let i(j) be the third derivative of -j**8/112 - j**5/20 - j**2. What is the third derivative of i(t) wrt t?
-180*t**2
Let f(j) be the first derivative of -j**8/336 + j**5/60 - 2*j**3 + 3. Let o(k) be the third derivative of f(k). What is the second derivative of o(g) wrt g?
-60*g**2
Let y(p) = p**3 - 8*p**2 - 7*p. Let m(s) = s**2 + s. Let d(u) = 28*m(u) + 4*y(u). What is the third derivative of d(x) wrt x?
24
Let y = 3 + 0. Find the third derivative of 2*i**2 - 3*i**2 + 4*i**2 - y*i**3 - 6*i**2 wrt i.
-18
Let r(u) = -16*u**2 + 32*u - 4. Let m(b) = b**2 - 2*b + 1. Let h(j) = -8*m(j) - 2*r(j). Find the second derivative of h(g) wrt g.
48
Let g = 109/582 - 2/97. Let s(o) be the second derivative of 0*o**2 + 0 - o - g*o**4 + 1/3*o**3. What is the second derivative of s(r) wrt r?
-4
Suppose 0*z = -z + 5. Differentiate 6 + 0*a**2 + z*a**2 - 2 with respect to a.
10*a
Differentiate 9*q - 3 + 3 - 11 with respect to q.
9
Let w(u) be the third derivative of u**8/336 + u**4/12 - 2*u**2. What is the second derivative of w(m) wrt m?
20*m**3
Let j(x) = -43*x**3 - 18*x**2 - 3*x + 3. Let h(r) = 129*r**3 + 53*r**2 + 8*r - 8. Let f(w) = 3*h(w) + 8*j(w). What is the third derivative of f(b) wrt b?
258
Let g(q) be the third derivative of 5*q**8/84 - 11*q**4/12 - 6*q**2. What is the second derivative of g(h) wrt h?
400*h**3
Let u(l) be the second derivative of -l**7/21 - 3*l**3/2 + l**2 - 17*l - 2. What is the second derivative of u(h) wrt h?
-40*h**3
Let q(r) be the first derivative of -r**6/15 + r**2 + 2*r - 3. Let d(o) be the first derivative of q(o). Differentiate d(u) wrt u.
-8*u**3
Let n(w) be the first derivative of 4*w**6/3 - 19*w**2/2 + 5. Find the second derivative of n(y) wrt y.
160*y**3
What is the first derivative of 26 - 32 - 32*k**2 + 4 wrt k?
-64*k
Let g(i) be the first derivative of 3/2*i**2 - i + 6. What is the first derivative of g(l) wrt l?
3
Let s(f) be the third derivative of f**8/56 + 7*f**4/24 - 8*f**2. What is the second derivative of s(v) wrt v?
120*v**3
Suppose -6*y + 20 = -y. Suppose 0 = -j - 1 + y. Differentiate -4 + 2 + 2 - 4 - 3*d**j wrt d.
-9*d**2
Let d(i) be the second derivative of 4*i**4/3 + 7*i**3/2 + 6*i. What is the second derivative of d(o) wrt o?
32
Let w(h) be the first derivative of h**5/20 - 7*h**3/6 + 3*h**2 + 6. Let i(n) be the second derivative of w(n). Differentiate i(r) wrt r.
6*r
Let x = 2 - 0. Let v be (-3)/((-7)/x - -2). What is the third derivative of 2*k**4 + 2*k**5 - v*k**4 + 2*k**2 wrt k?
120*k**2
Let i(j) be the first derivative of -j**8/560 + j**4/8 - j**3 + 3. Let u(b) be the third derivative of i(b). Differentiate u(l) with respect to l.
-12*l**3
Let n(p) be the first derivative of 0*p**5 + 0*p**4 + 0*p + 0*p**3 - 3/2*p**2 - 3 - 1/2*p**6. Find the second derivative of n(a) wrt a.
-60*a**3
Let g(u) = -3*u + 6. Let w(p) = -4*p + 6. Let h(s) = 5*g(s) - 4*w(s). What is the first derivative of h(v) wrt v?
1
Let u(s) be the third derivative of 13*s**7/210 - 2*s**3/3 - 13*s**2. What is the derivative of u(g) wrt g?
52*g**3
Suppose -5*o + 2*z = -2*z + 14, 0 = 4*o - 5*z + 13. Let d be 0/o + (7 - 4). What is the third derivative of 4*i**2 + d*i**6 + i**6 - i**2 - i**2 wrt i?
480*i**3
Let u(y) = y**4 - y**3 + y**2 - y - 1. Let k(f) = -12*f**4 + 8*f**3 - 8*f**2 + 4*f + 8. Let b(w) = -k(w) - 8*u(w). Find the second derivative of b(i) wrt i.
48*i**2
Let c(q) = -8*q**4 - 38*q**2 - 3. Let m(b) = 17*b**4 + 77*b**2 + 7. Let g(h) = 7*c(h) + 3*m(h). Find the third derivative of g(t) wrt t.
-120*t
Let a(h) = 6*h**3 + 3*h - 4. Let v(j) = -6*j**3 - 4*j + 3. Let f(w) = 4*a(w) + 3*v(w). Differentiate f(d) with respect to d.
18*d**2
Let c be (-16)/(-6) + (-10)/15. Suppose -3*u + 13 = d, 0 = c*d + d - u - 9. What is the second derivative of -d*n**5 + 2*n + 5*n**5 - 3*n wrt n?
20*n**3
Suppose 62 = 3*w + 20. What is the derivative of -w*d**2 - 5*d**4 - 4 + 14*d**2 wrt d?
-20*d**3
Let y(j) = 8*j + 7. Let m(o) = o + 1. Let t(n) = -5*m(n) + y(n). What is the first derivative of t(x) wrt x?
3
Suppose c - 1 - 1 = 0. Let v be 3/c*8/6. What is the third derivative of 2*u**6 - 3 + 3 - 2*u**v wrt u?
240*u**3
Suppose i - 3 = 2. Let n(k) = 4*k**4 + 6*k**3 + 5. Let c(g) = -4*g**4 - 5*g**3 - 4. Let m(j) = i*n(j) + 6*c(j). What is the derivative of m(l) wrt l?
-16*l**3
Let m(k) = 4*k**3 - 8*k + 4. Let j(c) = -c**4 - 3*c**3 + 8*c - 3. Let d(f) = 4*j(f) + 3*m(f). Find the second derivative of d(q) wrt q.
-48*q**2
Let i(j) be the first derivative of -j**5/20 - 5*j**4/12 + j + 6. Let u(n) be the first derivative of i(n). What is the third derivative of u(o) wrt o?
-6
Suppose 3*y = -2*h + 3*h, -3*y - 6 = -3*h. Let r be (y/(-1))/((-10)/20). Differentiate -24 + 22 + 3*n**3 + r*n**4 - 3*n**3 wrt n.
8*n**3
Let t(g) be the second derivative of -17*g**7/21 - 11*g**3/3 + g. Find the second derivative of t(a) wrt a.
-680*a**3
Let s(l) be the first derivative of 2*l**5 + 6*l**2 + 14. What is the second derivative of s(q) wrt q?
120*q**2
Suppose 0 = 4*x - 0*x - 80. Suppose 0 = -0*p - 4*p - 5*w + 28, 0 = 5*w - x. Find the second derivative of a**3 - 2*a - a**3 + p*a**3 wrt a.
12*a
Let b(f) be the second derivative of 5/42*f**7 + 0*f**6 + 0 + 0*f**4 + 0*f**5 + 5/6*f**3 + 3*f + 0*f**2. What is the second derivative of b(o) wrt o?
100*o**3
Let f(k) be the second derivative of 17*k**4/12 - 17*k**3/6 - 18*k. Find the second derivative of f(s) wrt s.
34
Find the second derivative of p**2 + 7*p - 2*p**2 - 7*p**2 wrt p.
-16
Let x = -8 - -10. What is the second derivative of 94 + 5*n + 0*n**x - 94 - 5*n**2 wrt n?
-10
Differentiate 13 - 67*q**2 - q**4 + 67*q**2 + 13 with respect to q.
-4*q**3
Let r(x) = -x + 8. Let t be r(4). Find the third derivative of -4*n**t - n**4 + 4*n**4 - 5*n**2 wrt n.
-24*n
Let j(x) = -7*x**4 + 6*x**3 + 6*x**2 + 6*x - 3. Let v(t) = -t**3 - t**2 - t. Let u(q) = j(q) + 6*v(q). What is the derivative of u(z) wrt z?
-28*z**3
Let u(w) = 3*w**3 + 7*w**2 - 2*w + 2. Let a(b) = -b**3 + b**2 + b - 1. Let r(m) = -2*a(m) - u(m). Find the third derivative of r(k) wrt k.
-6
Let j(m) = -17*m**2 - 7*m + 46. Let w(y) = -y**2 - 2*y + 1. Let c(t) = j(t) - 4*w(t). What is the first derivative of c(k) wrt k?
-26*k + 1
Let a = -5 + 9. Suppose 2*f + 5*h = 18, 4 = -0*h + 2*h. What is the third derivative of -6*o**4 - 2*o**2 + 3*o**a + o**f wrt o?
-48*o
Let b = 7 - 3. Find the second derivative of -b*p**3 + 3*p + 5*p**3 + 3*p**3 - 2*p**3 wrt p.
12*p
Let v(y) = y**2 + 9*y - 7. Let u be v(-10). Let t = 13 - u. Find the third derivative of 2*s**5 + t*s**2 - 7*s**2 + s**5 wrt s.
180*s**2
Let q(b) be the second derivative of 29*b**3/6 - 19*b**2/2 + 17*b. Differentiate q(h) with respect to h.
29
Suppose -6*s = -2*s - 8. Suppose -15 = -s*t + 4*r + 5, 4*t + 5*r + 12 = 0. What is the third derivative of 7*a**3 + 0*a**3 + 0*a**3 - 11*a**3 - 4*a**t wrt a?
-24
Let y(q) = 2*q - 3. Let b be y(3). Suppose 0 = -b*g + p + 6, -5*g - 7*p + 30 = -2*p. What is the third derivative of 4*t**2 - 6*t**6 + g*t**6 + 0 + 0 wrt t?
-360*t**3
Let p be (-1)/((-21)/18 + 1). Find the first derivative of 4 - p - 2*g + 3*g wrt g.
1
Suppose 0 = -4*g - w + 13, 3*g - 1 = 5*w + 3. What is the second derivative of -g*k + 6*k + k**4 - k wrt k?
12*k**2
Suppose -4*t - t = -3*n - 9, -4*t + 4*n = -4. Find the third derivative of 3*r**2 - 2*r**3 + 4*r**t - 5*r**3 + r**3 wrt r.
-12
Let k(f) be the first derivative of -f**7/42 + f**5/60 - 2*f**2 + 3. Let r(j) be the second derivative of k(j). Find the third derivative of r(n) wrt n.
-120*n
Suppose l = -4*o + 13 + 10, 2*l = 5*o - 19. Suppose l*d + 5*v + 10 = -3, 5*d - 4*v = 40. What is the first derivative of -2*g**4 + 7 + 3*g**d - 4 wrt g?
4*g**3
Let f(s) be the first derivati