e of o(m) wrt m.
8
Let i(a) = 3*a - 3. Let n be 1/2*(12 - 0). Let q(d) = 9*d - 8. Let u(v) = n*q(v) - 17*i(v). Differentiate u(x) wrt x.
3
Let t(a) = -a**2. Let h(p) = -61*p**4 - 2*p**2 + 52. Let y(r) = h(r) - 2*t(r). Find the first derivative of y(j) wrt j.
-244*j**3
Let w be 2/(-11) - 315/(-99). Let l(m) be the second derivative of 0 - 3/2*m**2 + w*m + 1/3*m**3. What is the first derivative of l(q) wrt q?
2
Let v = 2 - -7. Let n(p) = -23*p**4 + 9*p**3 - 5*p. Let u(s) = -11*s**4 + 4*s**3 - 2*s. Let i(l) = v*u(l) - 4*n(l). What is the second derivative of i(b) wrt b?
-84*b**2
Find the second derivative of -3*l + 4*l + 0 + 7*l**2 + 0 wrt l.
14
Suppose 2*v + 6 = 4*t, -v + 5*v + t + 12 = 0. Let q be (2/v)/((-2)/6). What is the third derivative of g**2 - 5*g**4 + 4*g**4 + 0*g**q wrt g?
-24*g
Let j(i) = 14*i**2 - 5*i**6 - 5 + 1 - 1. Let h(f) = 5*f**6 - 13*f**2 + 4. Let q(b) = -5*h(b) - 4*j(b). Find the third derivative of q(c) wrt c.
-600*c**3
Let p(t) = -t - 3. Let f be p(-5). Suppose f*h + 1 = 7. Find the second derivative of l - 2*l + l**h + l**3 wrt l.
12*l
Let d(v) = 4*v - 15. Let w(y) = -5*y + 15. Let q(j) = 3*d(j) + 2*w(j). What is the derivative of q(r) wrt r?
2
What is the third derivative of 10*b**5 + 11*b**3 + 4*b**2 - 11*b**3 + b**2 wrt b?
600*b**2
Let p(d) be the third derivative of -d**5/15 - 11*d**3/6 - 13*d**2. What is the first derivative of p(v) wrt v?
-8*v
Let o = -1343/12 + 112. Let k(j) be the second derivative of -o*j**4 - 1/6*j**3 + j + 0 + 0*j**2. Find the second derivative of k(s) wrt s.
-2
Let g(z) be the second derivative of -z**5/4 + 3*z**2/2 - 2*z. Differentiate g(u) with respect to u.
-15*u**2
Let g(y) = y**3 - 3*y - 1. Let b be g(-2). Let p(o) = -o**2 + 2*o. Let v(t) = t**2 - t. Let i(q) = b*p(q) - 5*v(q). What is the second derivative of i(w) wrt w?
-4
What is the second derivative of 10*r**4 - 7*r + 0*r - 7*r + 3*r**4 wrt r?
156*r**2
Find the third derivative of -4 + 37*q**3 - 10 + 505*q**2 - 507*q**2 wrt q.
222
Let m(w) = 182*w**3 + 16*w**2 - 136*w - 6. Let o(a) = -36*a**3 - 3*a**2 + 27*a + 1. Let u(q) = 3*m(q) + 16*o(q). Find the second derivative of u(j) wrt j.
-180*j
Let m(d) be the second derivative of -1/2*d**3 + 0*d**2 + 3/20*d**5 + 0 + 0*d**4 - 2*d. What is the second derivative of m(l) wrt l?
18*l
Find the third derivative of -11*u**3 + 14*u**3 + 4*u**2 - u**3 wrt u.
12
Let d(p) be the second derivative of p**9/3024 - p**5/24 + p**3/3 + 4*p. Let o(v) be the second derivative of d(v). What is the second derivative of o(m) wrt m?
20*m**3
Let q(h) = -h**3 + h. Suppose -j = 3*l + 4 + 3, 5*l + 9 = -3*j. Let u(k) = 9*k**3 - 6*k. Let x(y) = j*u(y) + 14*q(y). Find the second derivative of x(w) wrt w.
24*w
Suppose 3*t = 4*t - 1. Let w be t/(-2) + 5/2. Find the third derivative of 2*k**w - 5*k**5 + 4*k**5 - k**5 + 3*k**5 wrt k.
60*k**2
Let b(m) = -3 - 1 - m**3 - 3*m**2 + 9*m**2 + 8*m. Let q be b(7). Find the third derivative of -2*u**2 + q*u**2 - 2*u**2 - 2*u**6 wrt u.
-240*u**3
Let f(h) be the second derivative of 0*h**5 + 0 + 0*h**2 + 0*h**6 + 0*h**3 + 2/3*h**4 - 1/42*h**7 - h. What is the third derivative of f(y) wrt y?
-60*y**2
Let a(g) be the second derivative of 2*g**7/21 + g**3/6 + 6*g. What is the second derivative of a(t) wrt t?
80*t**3
Let q(b) = b**2 - 3. Let p(x) = -7*x**2 + 19. Let a(r) = 6*p(r) + 39*q(r). Differentiate a(w) with respect to w.
-6*w
Let r(v) be the second derivative of v**4/4 + 3*v**2 + 2*v. Differentiate r(k) with respect to k.
6*k
Suppose 5*q = 7 + 3. Let m(t) be the second derivative of 0 + 0*t**q + t - 1/4*t**4 + 1/3*t**3. Find the second derivative of m(d) wrt d.
-6
Let o(j) = 138*j**2 - 5*j + 27. Let v(a) = 207*a**2 - 7*a + 40. Let x(g) = 7*o(g) - 5*v(g). What is the derivative of x(y) wrt y?
-138*y
Let x(i) = i + 9. Suppose -5*m + 2*m + 3*h = 18, 5*m + 22 = -3*h. Let c be x(m). What is the third derivative of -2*j**2 + c*j**2 + j**6 - j**2 wrt j?
120*j**3
What is the derivative of 151 - 80 - 72 - 40*i**2 wrt i?
-80*i
Let s(m) be the first derivative of -m**8/336 - m**4/24 + 3*m**2/2 + 1. Let u(k) be the second derivative of s(k). What is the second derivative of u(n) wrt n?
-20*n**3
Let k(s) be the second derivative of -3*s**7/7 + 3*s**4/4 - 7*s. What is the third derivative of k(g) wrt g?
-1080*g**2
Suppose o = -3*o + 8. Let q be 26/8 + 2/(-8). Differentiate -o*u**3 - u**3 + 2*u**q + 2 wrt u.
-3*u**2
Let v = -4 - -6. Find the third derivative of -t**4 - t**v - t**4 - 2*t**4 wrt t.
-96*t
Differentiate 2*o - 398*o**2 - 2*o + 2 + 406*o**2 wrt o.
16*o
Let r be 2/(-3)*-3 + -2. What is the derivative of -s**4 + r*s**4 + 0*s**4 - 2 wrt s?
-4*s**3
What is the third derivative of 100*k**5 - k**4 - 36*k**2 + 3*k**4 - 122*k**5 wrt k?
-1320*k**2 + 48*k
Let w(j) = -j**2 + 6*j + 19. Let l be w(8). Differentiate -c**3 + 3 - c**3 - l*c**3 with respect to c.
-15*c**2
Let t be 1 + 0 - (0 + -5). Let w be 14/t + 2/3. Find the second derivative of -2*u - 2*u**w + u + 0*u**3 wrt u.
-12*u
Let f(c) be the second derivative of -c**6/30 - 17*c**3/6 + 9*c. Find the second derivative of f(g) wrt g.
-12*g**2
Let v(q) = -4*q**2 - 2. Let j(b) be the first derivative of 3*b**3 - b**2/2 + 5*b - 1. Let t(i) = -2*j(i) - 5*v(i). Find the second derivative of t(l) wrt l.
4
Let r(t) be the second derivative of -t**6/90 - t**5/40 - 2*t**3/3 + 4*t. Let o(m) be the second derivative of r(m). Find the second derivative of o(a) wrt a.
-8
Let d(t) be the second derivative of 0*t**2 + 0*t**3 + 0*t**5 + 1/4*t**4 + 3*t + 1/10*t**6 + 0. Find the third derivative of d(g) wrt g.
72*g
Suppose 5*a + 3*g = -7, -g - 15 = -3*a + 2*g. Let h = 1 + a. Find the second derivative of 2*s + s + 3*s**h - 4*s wrt s.
6
Suppose 0 = -0*g + 4*g - 24. Let d be 26/g - (-1)/(-3). What is the second derivative of -6*x + 2*x**2 + x - 3*x + d*x wrt x?
4
Let g(f) be the first derivative of -f**4/12 - f**3/2 + f**2/2 + 3. Let u(o) be the second derivative of g(o). Differentiate u(d) with respect to d.
-2
Let t(d) = -6*d - 11. Let w = -14 + 9. Let r(z) = 3*z + 6. Let k(a) = w*r(a) - 2*t(a). What is the derivative of k(p) wrt p?
-3
Suppose 3*l = 7*l - 12. What is the second derivative of -h**l - h**2 + h**2 - 6*h wrt h?
-6*h
Let t(s) = -2*s**3 - 8*s**2 - 95*s + 8. Let u(n) = -n**3 - 3*n**2 - 32*n + 3. Let q(g) = -3*t(g) + 8*u(g). Find the second derivative of q(z) wrt z.
-12*z
Let o = 27 + -18. Find the second derivative of o*s**2 - 4*s - s + s**2 wrt s.
20
Let b(x) = x - 7. Let z(i) = 7*i + 1. Let n(u) = 2*u. Let y(g) = 22*n(g) - 6*z(g). Let v(p) = 5*b(p) - 6*y(p). What is the first derivative of v(o) wrt o?
-7
Let d(i) be the third derivative of -7*i**6/40 + 5*i**4/4 + 20*i**2. Find the second derivative of d(s) wrt s.
-126*s
Suppose -2*f + 5*f = 12. Find the second derivative of 2*s + s**4 - 3*s**4 + s**f wrt s.
-12*s**2
Let p(l) be the second derivative of 0*l**5 + 0 + 0*l**2 + 8*l + 0*l**3 + 1/30*l**6 + 3/4*l**4. Find the third derivative of p(a) wrt a.
24*a
Let l(n) = 26*n**3 + n**2 - 6. Let r(c) = -c**3 - c**2 - 1. Let s(f) = -l(f) - r(f). What is the first derivative of s(w) wrt w?
-75*w**2
Let a(l) be the first derivative of -3 + 0*l**3 + 3/4*l**4 + 4*l + 0*l**2. What is the derivative of a(q) wrt q?
9*q**2
Let i(c) be the first derivative of 1/6*c**4 - 2 + 0*c**3 - 1/2*c**2 - 4*c. Let d(g) be the first derivative of i(g). Find the first derivative of d(z) wrt z.
4*z
Let h be 3 + -1 + -2 + 2. Suppose h = -g + 5. What is the derivative of 1 + 2*j - g*j**2 + 2*j**2 - 2*j wrt j?
-2*j
Suppose 4*z + z = 15. Differentiate z + 14*l - 13*l - 3 + 4 with respect to l.
1
What is the second derivative of 3*g + 4*g**5 + 8*g + 8*g + 0*g wrt g?
80*g**3
What is the third derivative of -15*j**2 - 6*j**2 + 10*j**5 + 5*j**2 + 19*j**5 wrt j?
1740*j**2
Let h(d) = d**6. Let c(t) = -9*t**6 + 4*t**2. Let b(w) = -c(w) - 2*h(w). What is the third derivative of b(g) wrt g?
840*g**3
What is the first derivative of -9 - 8*u**2 + 9*u**2 - 2 wrt u?
2*u
What is the derivative of 3 + 3*h**4 - 6*h**4 - 5*h**4 wrt h?
-32*h**3
Let s(i) be the third derivative of 2*i**7/21 - 5*i**5/12 - 27*i**2. What is the third derivative of s(h) wrt h?
480*h
Let c(y) = -3*y**4 + 4*y**3 - 4*y**2 - 3*y - 4. Let g(z) = -z**4 + z**3 - z**2 + z - 1. Let f(x) = -c(x) + 4*g(x). What is the second der