t(d) be the second derivative of -2*d**5/5 + 5*d**4/6 + 7*d. Find the third derivative of t(m) wrt m.
-48
Let j(h) be the third derivative of -1/12*h**5 + 1/42*h**7 + 0*h**3 + 0 + 2*h**2 + 0*h + 0*h**6 + 0*h**4. Find the third derivative of j(d) wrt d.
120*d
Differentiate 54*k**2 + 9 + 0 - 6 + 38 with respect to k.
108*k
Let x(r) be the third derivative of 0*r**4 + 0*r + 0*r**3 + 0*r**7 + 0 - 1/20*r**5 + 0*r**6 + 1/112*r**8 - 2*r**2. What is the third derivative of x(o) wrt o?
180*o**2
Let k(b) be the first derivative of -b**6/60 - b**3/3 - 3*b**2/2 + 1. Let v(y) be the second derivative of k(y). Differentiate v(r) with respect to r.
-6*r**2
Let j = -8 - -8. Let o(c) be the third derivative of 1/24*c**4 + j + 0*c + 1/3*c**3 + 2*c**2. What is the first derivative of o(t) wrt t?
1
Let t(q) be the third derivative of 0*q**4 + 0 + 7/60*q**5 + 0*q + q**2 + 0*q**3 + 1/15*q**6. What is the third derivative of t(v) wrt v?
48
Find the second derivative of 0*j + 0*j - 25*j**5 - 4*j + 23*j**5 wrt j.
-40*j**3
Find the first derivative of 9 + 107*m**2 - 118*m**2 + 19 wrt m.
-22*m
Let f(n) be the second derivative of 2*n + 0*n**7 + 0*n**5 + 0*n**2 + 0 + 0*n**3 + 0*n**6 - 5/56*n**8 - 1/12*n**4. Find the third derivative of f(o) wrt o.
-600*o**3
Let d(a) be the first derivative of -a**3/3 - a**2 - 6*a - 3. Let i(r) = r**2 - r. Let f(k) = d(k) - 2*i(k). Differentiate f(c) with respect to c.
-6*c
Let p = -27 - -31. Let o(f) be the second derivative of 0*f**p - 3/20*f**5 + 3*f + 0*f**3 - f**2 + 0. What is the derivative of o(a) wrt a?
-9*a**2
Let i(b) be the first derivative of -3*b**4/2 + 4*b**3 + 13. Find the third derivative of i(f) wrt f.
-36
Suppose 4*j = 2*j + 4. Let i(m) = m**2 + 3*m + 2. Let r be i(-3). What is the third derivative of -3*z**r + z**2 + 3*z**j - 2*z**5 wrt z?
-120*z**2
Let d(b) be the third derivative of b**11/18480 + b**7/840 + b**4/4 - b**2. Let v(z) be the second derivative of d(z). Find the third derivative of v(x) wrt x.
360*x**3
Let w = 6 + -6. What is the second derivative of 3*d + w*d**3 + 0*d**3 - 3*d**3 wrt d?
-18*d
Find the first derivative of 14*y**2 - 55 + 7*y**2 - 19 + 28 wrt y.
42*y
Suppose -5 = -a - 3. Find the second derivative of -4*k**2 + 3*k + 4*k**a - k**3 wrt k.
-6*k
Let d(l) = 4*l**3 + 5*l**2 - 2*l. Let s(h) = -3*h**3 - 2*h - h + 6*h**3 + h + 4*h**2. Let x(o) = -4*d(o) + 5*s(o). Find the second derivative of x(b) wrt b.
-6*b
Let n(h) be the first derivative of 5*h**7/42 - 5*h**4/12 + h - 2. Let r(k) be the first derivative of n(k). Find the third derivative of r(w) wrt w.
300*w**2
Let s(u) be the second derivative of 3*u**7/7 + u**3/3 + 30*u. What is the second derivative of s(o) wrt o?
360*o**3
Differentiate -164*m - 30 + 85*m - 23*m**2 + 79*m wrt m.
-46*m
Let g(x) = 3*x**2 - 2*x + 5. Suppose -2 - 3 = -f. Let m(z) = 3*z**2 - 3*z + 6. Let k(i) = f*m(i) - 6*g(i). Find the second derivative of k(o) wrt o.
-6
Find the third derivative of 0*q**2 + 9*q**2 + 4*q**3 - 15*q**3 wrt q.
-66
Let r(w) be the second derivative of -w**7/21 - w**6/10 + 4*w**4/3 + 3*w + 4. Find the third derivative of r(f) wrt f.
-120*f**2 - 72*f
Let l(t) = -3*t. Let a(i) = i + 1. Let u(g) = -2*a(g) - l(g). Let b be u(4). What is the second derivative of -b*r**3 + 4*r**3 - 4*r**3 + r wrt r?
-12*r
Let h(c) be the third derivative of -c**5/60 - 13*c**4/8 - 33*c**2. What is the second derivative of h(y) wrt y?
-2
Let y(s) = 4*s**3 - 6*s - 51. Let j(a) = -7*a**3 + 10*a + 103. Let g(p) = -3*j(p) - 5*y(p). What is the first derivative of g(b) wrt b?
3*b**2
Let g(h) be the third derivative of 0*h + 1/168*h**8 + 0*h**3 + 0*h**4 - h**2 + 1/60*h**5 + 0 + 0*h**7 + 0*h**6. What is the third derivative of g(x) wrt x?
120*x**2
Let i(h) be the second derivative of -h**6/10 - h**2/2 - 5*h. What is the derivative of i(c) wrt c?
-12*c**3
Differentiate 2*h**3 - 8*h**3 + 6*h**3 - 23 - h**4 with respect to h.
-4*h**3
Let z(w) = w**2 + 5*w - 10. Let m be z(-7). Let u(k) be the first derivative of -3*k**2 - 1 + 2 - k + m*k**2 + 1. Differentiate u(a) wrt a.
2
Let x(v) = v**2 + v. Let n(g) = -10*g**2 - 9*g. Let s(q) = -n(q) - 4*x(q). Find the second derivative of s(b) wrt b.
12
Let d(w) be the second derivative of -w**10/15120 - w**6/720 - w**4/4 + 3*w. Let u(s) be the third derivative of d(s). Find the second derivative of u(o) wrt o.
-40*o**3
Let r(p) be the second derivative of 7*p**6/30 - 13*p**3/3 + 29*p. Find the second derivative of r(u) wrt u.
84*u**2
Let z(u) be the first derivative of 7*u**2/2 + 2*u - 23. What is the derivative of z(p) wrt p?
7
Let p(k) be the first derivative of -3*k**5/5 + 7*k**2/2 + 10. Find the second derivative of p(i) wrt i.
-36*i**2
Let f(m) = -34*m**3 - 20*m**2. Let l(v) = -35*v**3 - 19*v**2. Let u(p) = 4*f(p) - 5*l(p). Find the third derivative of u(c) wrt c.
234
Differentiate -4 - 4 - 51*b + 13*b - 39 wrt b.
-38
Let d(n) be the third derivative of n**9/28 - n**6/60 - 29*n**5/30 - n**2 + n. What is the third derivative of d(f) wrt f?
2160*f**3 - 12
Let j be (-2)/(-8) - (-86)/8. Let i be (-9)/((-54)/(-4))*-3. What is the first derivative of -j*y**i + 1 + 2 + 10*y**2 wrt y?
-2*y
Let m(d) be the second derivative of -3*d**8/14 + 5*d**4/6 - 3*d. Find the third derivative of m(b) wrt b.
-1440*b**3
Let d(r) = r**3 + 6*r**2 - r + 4. Let u be d(-6). Let v be 2/u + 84/30. What is the third derivative of -3*k**2 + 4*k**2 + 2*k**v - 3*k**3 wrt k?
-6
Let o(n) = -20*n + 39. Let f(k) = -5*k + 10. Let h(b) = -9*f(b) + 2*o(b). What is the derivative of h(i) wrt i?
5
Let u(q) = q**3 + 3*q**2 - 5*q - 2. Let t = 4 - 8. Let k be u(t). What is the first derivative of k - 2*a**4 + 0*a + 0*a wrt a?
-8*a**3
Find the third derivative of -7*d**6 + d**2 + 6*d**6 - 4*d**2 wrt d.
-120*d**3
Let u = -19 + 22. What is the second derivative of 2*q**3 + q + q**u - 2*q - 10*q**3 wrt q?
-42*q
Let f(d) = d**2 - d + 1. Let v(a) = 21*a - 7*a - 12*a + 5*a**2. Let n(k) = 2*f(k) + v(k). What is the derivative of n(l) wrt l?
14*l
Find the second derivative of -2256*n**4 - 5*n + 23*n**5 + 2256*n**4 wrt n.
460*n**3
What is the second derivative of 2*l**4 - 25*l - 10*l - 2*l wrt l?
24*l**2
Suppose 0 = -2*y - o + 3*o + 12, o = 2*y - 9. Suppose -2*r + y = -1. Differentiate 3 + p**4 - r - 2*p**4 wrt p.
-4*p**3
Suppose 2*g = -5*s + 2, -g - 2 - 10 = -4*s. What is the third derivative of -7*k**2 - 2*k**6 + 5*k**s + 3*k**2 wrt k?
-240*k**3
Find the third derivative of -7*c**4 - 21*c**2 + c**2 - c**2 - 2*c**2 wrt c.
-168*c
Suppose d = 5*d - 12. Find the second derivative of s**3 - s**d - 4*s**4 + 5*s + 8*s**4 wrt s.
48*s**2
Suppose -3*i + 5*h - 10 = 1, -4*i + 2*h + 4 = 0. Let f(p) be the first derivative of -1 + 0*p + 0*p**3 + 3*p + p**i. Differentiate f(j) with respect to j.
6*j
Let u(k) be the second derivative of -2*k**6/5 - 3*k**4/4 + 7*k. What is the third derivative of u(z) wrt z?
-288*z
Suppose -2*i = -5*i + 12. Suppose -i*f = -3*f - 2. Find the third derivative of -3*c**2 + c**2 - 3*c**3 - 3*c**2 + f*c**2 wrt c.
-18
Suppose -7*b + 2*b = 4*w - 10, 4*b + w = 8. What is the third derivative of -p**b + 2*p**4 + p**4 - 3*p**2 wrt p?
72*p
Let q(j) be the third derivative of j**8/112 + 11*j**5/60 + 11*j**2. What is the third derivative of q(p) wrt p?
180*p**2
Suppose 5*a - 7*a + 8 = 0. What is the first derivative of -4*b**a + 0*b**4 + b**4 - 1 wrt b?
-12*b**3
Let p(j) be the first derivative of -j**4/3 + 7*j**3/6 + 3*j**2 - 1. Let n(d) be the second derivative of p(d). Differentiate n(f) wrt f.
-8
Find the third derivative of 7*y**2 + 4*y**2 - 2*y**2 + 14*y**3 - y**2 wrt y.
84
Let g(s) = 7 + 19*s**2 - 6 + 4 - 8*s**2 - 7*s. Let q(z) = -10*z**2 + 6*z - 5. Let t(l) = -6*g(l) - 7*q(l). What is the derivative of t(v) wrt v?
8*v
Let i(j) be the third derivative of -1/40*j**6 + 0 + 0*j**4 + j**2 - 7/6*j**3 + 0*j + 0*j**5. Differentiate i(g) wrt g.
-9*g**2
Let s = -6/11 + 40/33. Let j(x) be the first derivative of 0*x - 3 + 1/5*x**5 + 0*x**2 + 0*x**4 - s*x**3. Find the third derivative of j(f) wrt f.
24*f
Let g = 37 + -37. Let f(u) be the third derivative of 1/24*u**4 - 1/15*u**5 + g*u**3 + 0 + 4*u**2 + 0*u. Find the second derivative of f(j) wrt j.
-8
Let y(h) be the third derivative of -h**7/280 + h**6/60 + h**3/6 - 6*h**2. Let r(l) be the first derivative of y(l). Find the third derivative 