5*y - 4*j + 15 = 0, -y - 2*y - 5*j + 9 = 0. Suppose -k - 8 = -y*k. Differentiate 2*m**k - 3 - 2*m**2 + 2*m**2 with respect to m.
8*m**3
Let i(z) be the second derivative of 2*z**5/5 - 2*z**3/3 + 3*z. Find the second derivative of i(s) wrt s.
48*s
Let f(j) = -j - 2. Let y be f(-4). Suppose a - 1 = -r - 3, 0 = 4*r + 8. What is the second derivative of 0*v**y + a*v**2 - 2*v**4 + v**4 - 3*v wrt v?
-12*v**2
Let b(f) = -f**3 + 3. Let u = -4 + 4. Let t be b(u). What is the first derivative of 3*k**3 + 2*k**4 + 1 - t*k**3 wrt k?
8*k**3
Suppose 2 = -f - 0*f, f = -5*w - 47. Let g be -2 + 3/(w/(-24)). What is the third derivative of 0*j**2 + 3*j**5 + g*j**2 - 4*j**2 wrt j?
180*j**2
Suppose 3 = i + 6, -d + i = -5. What is the second derivative of -3*p**2 + 6*p**d - 2*p - p wrt p?
6
Suppose 3*s - 5*f = -2*f, 2*f = 5*s - 12. Suppose -x + s*x - 4*q - 6 = 0, x + 2*q = 2. What is the third derivative of -3*o**6 + 5*o**6 - 4*o**2 + 5*o**x wrt o?
240*o**3
Let i = -1 - -2. Let m(a) = -a**4 + a**2 - a. Let q(h) = 10*h**4 - 6*h**2 + 9*h. Let x(g) = i*q(g) + 6*m(g). What is the second derivative of x(o) wrt o?
48*o**2
Suppose 0 = -5*m + 4 + 11. Suppose 0 = -i - 5*l - 18, 4*i - m*l - 16 = 2*i. Differentiate -2*k - 2*k**i - 1 - 3*k + 5*k wrt k.
-4*k
What is the derivative of -2*d + 2*d + 30 + 5*d**2 - 35 wrt d?
10*d
Let o(k) be the second derivative of 7*k**6/30 - k**4/12 - k. Find the third derivative of o(x) wrt x.
168*x
Suppose -2*w - t = -6, -4*t - 3 - 5 = 0. Let h be 2 + -2 + -2 - -6. Find the third derivative of 2*a**w - 4*a**h + 2*a**2 - 4*a**2 wrt a.
-48*a
Let k be (-15)/20*(1 + -9). What is the third derivative of -344*i**4 + 10*i**k + 10*i**2 + 344*i**4 wrt i?
1200*i**3
What is the second derivative of -48*m + 3*m**2 - 8*m**2 + 10*m**2 + 4*m wrt m?
10
Let f = -3 + 5. Let s be -3 + f - (-4 - 1). What is the second derivative of 3*g - 2*g - 3*g**s - 3*g + 0*g**4 wrt g?
-36*g**2
Suppose 4*k = 4*v + 4, 0 = v + 3*k - 12 + 1. Find the second derivative of y + 4*y + v*y**5 + 0 + 0 wrt y.
40*y**3
Suppose 3*r = 4 + 5. Let n(y) be the first derivative of -y + 4*y**r - 3*y**3 - 3 - y. Differentiate n(l) with respect to l.
6*l
Let g(d) = 7*d**4 - 2*d**3 + 3*d + 2. Let m(x) = -14*x**4 + 5*x**3 - 5*x - 5. Let r(b) = -5*g(b) - 2*m(b). Find the second derivative of r(a) wrt a.
-84*a**2
Let l(o) be the third derivative of -o**4/24 - 5*o**3/6 + 2*o**2. Let v be l(-7). Find the third derivative of -3*j**3 + j**3 + 2*j**2 - 3*j**v wrt j.
-12
Let a(z) be the second derivative of z**5/5 - 3*z**2 + z. What is the derivative of a(w) wrt w?
12*w**2
Suppose 5*f = 3*f. Let m(u) = -u**3 - u**2 - u. Let a be m(f). Differentiate a + 2*z**4 - 1 + 4 with respect to z.
8*z**3
Let j(z) be the third derivative of 7*z**6/24 - z**5/6 + 34*z**2. What is the third derivative of j(c) wrt c?
210
Let s(t) be the first derivative of 6*t**5/5 - t**4/2 + 57*t + 49. Find the first derivative of s(m) wrt m.
24*m**3 - 6*m**2
Let k(h) = 8*h**5 - 2*h**4 - 3*h**2. Let z(s) = -129*s**5 + 33*s**4 + 48*s**2. Let x(v) = 33*k(v) + 2*z(v). Find the third derivative of x(c) wrt c.
360*c**2
Let o(k) be the third derivative of k**9/8640 + k**6/180 + k**5/15 + 2*k**2. Let m(h) be the third derivative of o(h). Find the first derivative of m(i) wrt i.
21*i**2
Suppose 2*a - 4*f - 2 = 0, -3*a + 3*f = -2*a - 3. Let d be a/(-2) - (-2)/4. Find the third derivative of 0*c**4 - 2*c**4 - 3*c**d + 5*c**4 wrt c.
72*c
Let n(g) be the third derivative of -g**9/84 + 2*g**5/15 + 29*g**2. What is the third derivative of n(o) wrt o?
-720*o**3
What is the first derivative of 0*u - 2*u - u + 7 wrt u?
-3
Find the second derivative of 31*t - 66*t + 6 - 22 + 33*t + t**2 - 28*t**3 wrt t.
-168*t + 2
Differentiate -2 - 9 + 9*r + 8 - 17 with respect to r.
9
Let v be (1/((-3)/3))/(-1). Let t(b) = 2*b. Let y be t(v). Find the second derivative of -2*j + j + 0*j - j - y*j**4 wrt j.
-24*j**2
Let h(n) = n**3 - 12*n**2 + 11*n + 2. Let t be h(11). What is the derivative of -t*u**2 - 5*u**2 + 3 + 4 wrt u?
-14*u
Let s(y) be the third derivative of 0*y**5 + 1/6*y**4 + 0 + 0*y**6 + 1/112*y**8 + 0*y**3 + 0*y**7 + 0*y - 3*y**2. What is the second derivative of s(i) wrt i?
60*i**3
Let s(v) = 13*v**3 + 19*v + 9. Let m(x) = 6*x**3 + 9*x + 4. Let o(h) = 9*m(h) - 4*s(h). Find the second derivative of o(a) wrt a.
12*a
Suppose 2*l + 5 = 9. Let f(x) = 3*x**2 + 5. Let c(o) = -o**4 - 2*o**2 - 6. Let i(n) = l*f(n) + 3*c(n). What is the derivative of i(b) wrt b?
-12*b**3
Let w(i) be the second derivative of 11*i**4/12 + 7*i**3/3 - 13*i. What is the second derivative of w(j) wrt j?
22
Let g(p) = -p**3 + 4*p**2 - 4*p + 2. Let x be g(2). What is the third derivative of 0*l**2 + l**4 - l**4 + 2*l**4 + 4*l**x wrt l?
48*l
Let u = -9 - -13. Suppose -15 = -u*t + t. Find the second derivative of -2*s + 0*s**3 - t*s**3 + 3*s**3 wrt s.
-12*s
Let f(b) be the third derivative of -b**7/70 + 13*b**4/24 - 6*b**3 - 45*b**2. What is the derivative of f(k) wrt k?
-12*k**3 + 13
Let j(d) = -5*d**3 - d**2 - d - 1. Let t be j(-1). Find the third derivative of 21*l - 21*l + 3*l**2 + t*l**4 wrt l.
96*l
What is the first derivative of 8*r**3 + 0*r**3 - 8 - 2*r**3 wrt r?
18*r**2
Let u(w) be the third derivative of 0*w**6 + 0 + 0*w + 0*w**5 + 0*w**3 + 1/105*w**7 + 1/6*w**4 - w**2. What is the second derivative of u(f) wrt f?
24*f**2
Find the second derivative of -28*s + 67*s**4 + 52*s**4 - 108*s**4 wrt s.
132*s**2
Let u(l) be the first derivative of 38*l**7/7 - 2*l**3 - 18. What is the third derivative of u(w) wrt w?
4560*w**3
Let g(x) be the first derivative of 0*x**2 + 2*x + 4/3*x**3 - 3. Differentiate g(y) with respect to y.
8*y
Let z(n) be the second derivative of -n + 2*n**2 + 0 - 2/3*n**3. Find the first derivative of z(r) wrt r.
-4
Let p(d) be the third derivative of 19*d**5/30 - d**4 - 32*d**2. What is the second derivative of p(c) wrt c?
76
Let d(s) = -20*s**4 + 5*s**3 - 27*s - 5. Let o(p) = -p**3 - p + 1. Let a(x) = d(x) + 5*o(x). Find the second derivative of a(k) wrt k.
-240*k**2
Let m(i) be the third derivative of i**9/72 + 11*i**5/60 + 4*i**2. What is the third derivative of m(o) wrt o?
840*o**3
Let x(i) be the third derivative of -5*i**2 + 1/12*i**4 + 0*i**3 + 0 + 0*i + 0*i**5 + 1/60*i**6. Find the second derivative of x(h) wrt h.
12*h
What is the third derivative of -9*d**4 - 5*d**4 + 420*d**2 - 445*d**2 wrt d?
-336*d
Let a = -6 - -8. Let k be 0 + 0 + (-2 - -4). Find the third derivative of -3*v**a + 0*v**5 - k*v**5 + v**2 wrt v.
-120*v**2
Suppose -12 = -0*j - 3*j. Find the third derivative of j*g**4 + 3*g**2 - 7*g**4 - 2*g**4 - 4*g**2 wrt g.
-120*g
Let g(z) = z - 8. Let h be (-2)/(-4)*(-8)/(-2). Let v(d) = h + 0 + 0 - 3. Let s(b) = -2*g(b) + 14*v(b). What is the derivative of s(n) wrt n?
-2
Let r(u) be the first derivative of 23*u**5/5 - 21*u**2/2 + 30. What is the second derivative of r(z) wrt z?
276*z**2
Let b(x) be the third derivative of 0 + 1/2*x**3 + 0*x + 0*x**4 - 4*x**2 + 1/60*x**5. Differentiate b(l) wrt l.
2*l
Let u(w) = -6*w**3 - 25*w**2 + 6*w. Let o(p) = p**4 + p**3 - p**2 - p. Let t(f) = -6*o(f) - u(f). What is the third derivative of t(r) wrt r?
-144*r
Suppose -2*w + 11 = 1. Let q(n) = -n - 2. Let z be q(-4). What is the second derivative of -2*f + z*f**w + f**4 - f**4 wrt f?
40*f**3
Let u(y) = y - 7. Let i(k) = 2*k - 13. Let h(s) = 3*i(s) - 7*u(s). What is the first derivative of h(p) wrt p?
-1
What is the third derivative of -30*y**3 + 30*y**3 + 9*y**4 + 3*y**4 - y**2 wrt y?
288*y
Let l(a) be the third derivative of a**6/180 - a**5/120 - a**3/2 + 3*a**2. Let k(z) be the first derivative of l(z). Find the second derivative of k(u) wrt u.
4
Let q(i) be the first derivative of -16*i**5/5 - 32*i + 4. What is the derivative of q(l) wrt l?
-64*l**3
Find the first derivative of -11 - u**2 + 6 - 6*u**2 wrt u.
-14*u
Let s(g) be the second derivative of 0 + 0*g**2 - 1/4*g**4 + 2*g + 0*g**7 + 0*g**3 + 0*g**5 + 0*g**6 - 1/56*g**8. Find the third derivative of s(y) wrt y.
-120*y**3
Let q(o) be the second derivative of -o**5/120 - o**4/8 + o**3/3 + o. Let j(s) be the second derivative of q(s). Differentiate j(r) wrt r.
-1
Let t(l) be the second derivative of l**3/2 + 9*l**2/2 - 11*l. Differentiate t(i) with respect to i.
3
Let g be (-1 + 5)*6/6. Differentiate 2 + 3*p - 3 -