 + 66/14. What is the second derivative of 5*b - b + 8*b**j + b - 3*b**5 wrt b?
100*b**3
Let q(s) = -9*s**2 + 4*s. Let b(f) = 4*f**2 - 2*f. Let n(o) = 5*b(o) + 2*q(o). Find the second derivative of n(c) wrt c.
4
Suppose 2*t + 4 = -0*t - 2*q, -27 = -4*t + 3*q. Find the third derivative of 4*c**3 - t*c**3 - c**5 - c**3 + 3*c**2 wrt c.
-60*c**2
Suppose -3*k - 16 = 8. Let m be 6/(1 - (-2)/k). Find the second derivative of -8 - 2*z**3 + 2*z + m wrt z.
-12*z
Let s be 6/(-4)*48/(-9). Find the first derivative of a - s - 2*a + 10 - 2*a wrt a.
-3
What is the first derivative of 54*m**4 + 9342*m**2 - 9342*m**2 + 39 wrt m?
216*m**3
Let j(m) be the second derivative of -5*m**8/56 - 11*m**4/12 + 9*m. What is the third derivative of j(q) wrt q?
-600*q**3
Let w(p) = 33*p**3 + 29*p. Let t(d) = -16*d**3 - 14*d. Let a(f) = -7*t(f) - 3*w(f). Find the second derivative of a(m) wrt m.
78*m
Differentiate 0 - 12*g**3 + 5 + 4*g**3 + 3*g**3 wrt g.
-15*g**2
What is the first derivative of 4*a**2 - 4*a**2 + 8*a**2 - a**2 + 3 wrt a?
14*a
Let o(z) be the third derivative of 0*z**5 + 0*z**6 + 0*z**4 - 2*z**2 + 1/42*z**7 + 2/3*z**3 + 0*z + 0. Find the first derivative of o(g) wrt g.
20*g**3
Let u(p) = 14*p - 7. Suppose r - 11 = -6. Let i(q) = 7*q - 4. Let w(v) = r*i(v) - 2*u(v). Differentiate w(h) with respect to h.
7
Let g(f) be the second derivative of -7*f + 0*f**2 - 1/12*f**4 + 1/5*f**6 + 0*f**5 + 0*f**3 + 0. What is the third derivative of g(d) wrt d?
144*d
Let p(s) be the second derivative of -s**6/72 - s**5/120 - 7*s**3/6 - 3*s. Let v(g) be the second derivative of p(g). Find the second derivative of v(u) wrt u.
-10
Suppose -5*i + 26 = -b - 0*b, i + b - 10 = 0. What is the third derivative of 0*w**2 + 3*w**2 - w**6 + 2*w**i wrt w?
120*w**3
Find the second derivative of k**4 - 4*k**2 + 4*k**2 - 2*k + 11*k**4 wrt k.
144*k**2
Let y(k) be the third derivative of -43*k**6/120 + k**4/24 - 5*k**3 + k**2 + 8. What is the second derivative of y(p) wrt p?
-258*p
What is the third derivative of -5*k**3 + 4*k**3 - 7*k**2 - 15*k**3 wrt k?
-96
Let y be (-3 - -5)*2/(-4). Let n(m) = 2*m**2 - m - 1. Let t be n(y). What is the first derivative of 0*d**2 + t*d**2 + 3 - 4 wrt d?
4*d
Let f(k) = -k**3 + 2*k**2 + 2*k - 2. Let y be f(2). What is the third derivative of z - z**3 + 3*z**2 - z + y*z**3 wrt z?
6
Suppose c = 6*c - 2*t - 448, -t = 2*c - 172. What is the second derivative of 88 - 4*n**2 - c + 2*n wrt n?
-8
Let q(k) be the third derivative of 3*k**2 + 0 - k**3 + 0*k - 1/24*k**4. Find the first derivative of q(g) wrt g.
-1
Let s(h) be the second derivative of -h**7/420 + h**5/60 - h**3/3 - 3*h. Let q(u) be the second derivative of s(u). What is the second derivative of q(g) wrt g?
-12*g
Suppose 0*j = -j. Let g(r) be the second derivative of 0 + j*r**2 + 1/10*r**5 - 1/4*r**4 + r + 0*r**3. Find the third derivative of g(l) wrt l.
12
Let o(l) = l + 13. Let p be o(-11). Find the first derivative of p*c**2 - 1 + 2*c**3 - 2*c**2 wrt c.
6*c**2
Let q(l) be the first derivative of -2*l**5/5 - l**3/3 - 2. Find the third derivative of q(p) wrt p.
-48*p
Let d(m) = 3*m - 5. Let j(p) = -8*p + 3. Let u(w) = 15*w - 6. Let t(k) = 11*j(k) + 6*u(k). Let b(r) = 4*d(r) - 7*t(r). Differentiate b(q) with respect to q.
-2
Suppose -k - 4 = -3*k. Suppose 0*y = y - 3*h + 12, -5*h + 25 = 0. What is the third derivative of 0*b**k + 3*b**2 - 2*b**4 - y*b**4 + 3*b**4 wrt b?
-48*b
Let o(k) be the second derivative of -19*k**6/15 - 11*k**3/6 + 31*k. What is the second derivative of o(q) wrt q?
-456*q**2
Suppose f = -3*f + 3*p + 11, 4*f = -4*p + 4. Differentiate 4*g**2 - 2*g**f - 26 + 24 wrt g.
4*g
Let f be (1 - 15/9)*-6. Differentiate 2*u - 2 + u - f*u wrt u.
-1
Let a(u) be the third derivative of u**9/3780 + u**7/1260 - u**4/8 - u**2. Let y(x) be the second derivative of a(x). Find the third derivative of y(j) wrt j.
96*j
Let o(r) be the second derivative of -5*r**7/21 - 4*r**4/3 + 27*r. Find the third derivative of o(u) wrt u.
-600*u**2
Let o(t) be the first derivative of 8*t**3/3 - 5*t**2 - 4. Find the second derivative of o(w) wrt w.
16
What is the third derivative of 27*m**3 - 26*m**3 + 58*m**3 - 38*m**2 wrt m?
354
What is the third derivative of -10*z**2 + 13*z**3 + 8*z**2 + 10*z**2 - 4*z**3 wrt z?
54
Let r(j) be the second derivative of 0*j**5 + 0*j**3 - 1/15*j**6 + 1/12*j**4 + 0*j**2 + j + 0. What is the third derivative of r(a) wrt a?
-48*a
Differentiate 49*f**3 - 49*f**3 - 25 + 3*f**4 wrt f.
12*f**3
Let q(t) be the second derivative of 3*t**4/4 - 13*t**2/2 - 8*t. Differentiate q(d) with respect to d.
18*d
Find the second derivative of -2*v + 36*v - 5*v**2 + 0*v**2 + 4*v**2 wrt v.
-2
Let j(v) be the first derivative of 5*v**4/2 - 10*v**3/3 - 10. What is the third derivative of j(g) wrt g?
60
Let h(j) be the second derivative of 9*j**6/10 - 13*j**4/4 + 19*j. What is the third derivative of h(b) wrt b?
648*b
Let j = 13 + -6. Find the third derivative of 3*g**2 - 2*g**2 + j*g**4 - 2*g**4 wrt g.
120*g
Let a(r) be the second derivative of r**6/3 + 23*r**2/2 - 24*r. Differentiate a(n) wrt n.
40*n**3
Let k(a) = 3*a**3 + a - 5. Let u(c) = c**3 - 1. Let x(r) = -k(r) + 5*u(r). Find the second derivative of x(y) wrt y.
12*y
Let b(k) be the third derivative of -19*k**6/120 + k**5/30 + 4*k**3 - 2*k**2 - 15. What is the third derivative of b(l) wrt l?
-114
Let v be -1 - 2*(-3)/2. What is the second derivative of -5*g**v + 37 - 2*g - 37 wrt g?
-10
Suppose 4 = 3*g - 2. Suppose 5*k = -g*t + 10, 13 = -3*k - 2*t - 3*t. What is the third derivative of k*p**2 - 13*p + 13*p + 3*p**4 wrt p?
72*p
Let x(c) = c**6 - 3*c**5 - 25*c**2 - 3*c. Let j(p) = -3*p**6 + 7*p**5 + 50*p**2 + 7*p. Let i(n) = 3*j(n) + 7*x(n). Find the third derivative of i(g) wrt g.
-240*g**3
Let b(v) be the third derivative of v**6/15 + v**3/3 - 5*v**2. Differentiate b(y) with respect to y.
24*y**2
Let o(t) = -4*t**2 + 2*t. Let y(w) = -1 + 2 + 0*w - w - 2*w + 4*w**2. Let r(q) = 3*o(q) + 2*y(q). What is the derivative of r(n) wrt n?
-8*n
Find the third derivative of -2*r**2 - 128*r + 20*r**6 + 128*r - 3*r**2 wrt r.
2400*r**3
Suppose -3*d = -d + 10, 2*k - 2*d = 18. What is the second derivative of 3*r**3 + 3*r**4 - k*r**3 + r**3 - 3*r wrt r?
36*r**2
Let o(q) = q**2 - 4*q - 3. Let i be o(5). Differentiate -7*j**4 - i + 3*j**4 - 1 - 2 with respect to j.
-16*j**3
Let m(n) = n - 1. Let d be m(3). What is the third derivative of x**5 - 2 + 3*x**d + 2 wrt x?
60*x**2
What is the third derivative of 12*z**4 + z**2 + 3*z**2 + 3*z**4 - 3*z**2 wrt z?
360*z
Let d be (-30)/(-4) - 6/4. Find the third derivative of -2*u**4 + d*u - 6*u + 0*u**4 - u**2 wrt u.
-48*u
Let x be (-84)/(-99) - (-8)/(-44). Let u(m) be the first derivative of m - 2 + 0*m**2 - x*m**3. Find the first derivative of u(q) wrt q.
-4*q
Let x be -1*(-7 - (-2 + -1)). Find the third derivative of t**2 + 0*t**2 + 2*t**4 + 0*t**2 - t**x wrt t.
24*t
Let s(t) = 15*t**3 - 34*t**2 + 5. Let b(a) = 14*a**3 - 33*a**2 + 6. Let z(r) = 5*b(r) - 6*s(r). What is the third derivative of z(u) wrt u?
-120
Suppose 0 = -2*m - 7 + 3. Let a(g) = -32 + 24 + g**2 + 3*g**2. Let u(j) = 2*j**2 - 4. Let v(r) = m*a(r) + 5*u(r). What is the derivative of v(l) wrt l?
4*l
Suppose -2 = -4*n + 6. What is the first derivative of -19*s**n + 3 + 9*s**2 + 0*s**2 + 5*s**2 wrt s?
-10*s
Let a(z) = -17*z**2 - 26. Let l(n) = 8*n**2 + 13. Let d(w) = 2*a(w) + 5*l(w). Find the first derivative of d(m) wrt m.
12*m
Let y = 12 + -10. What is the derivative of -2*l**y - 4 + 3*l**2 - 2*l**2 wrt l?
-2*l
Suppose 5*c = 12 + 18. Let i(k) = -2*k**3 + 8*k**2 - 5*k. Let u(m) = 2*m**3 - 9*m**2 + 6*m. Let x(b) = c*i(b) + 5*u(b). Find the third derivative of x(w) wrt w.
-12
Let i(s) be the first derivative of 0*s**2 - 2*s - 1/5*s**5 + 1 + 0*s**4 + 0*s**3. Differentiate i(o) with respect to o.
-4*o**3
Let z(b) = -b**2 - 4*b. Let m be z(-3). Find the first derivative of -m*i**4 + 2*i**4 - 9*i**2 + 4 + 9*i**2 wrt i.
-4*i**3
Let b(r) = 2*r**3 - 3*r**2. Let o(f) = -f**3 + f**2. Suppose 0*u - 2*u - 2 = 0. Let l(c) = u*b(c) - 4*o(c). Find the third derivative of l(t) wrt t.
12
Suppose 2*z - 20 + 16 = 0. What is the third derivative of 8*d**6 + 13*d**2 - 8*d**2 - z*d**6 wrt d?
720*d**3
Let w(x) be the first derivative of x**7/210 + x**5/120 + 2*x**3 + 6. Let g(r) be the third 