ivative of i(a) wrt a.
240*a
Let o(w) be the third derivative of -3*w**2 + 0 + 0*w**7 + 0*w**6 - 1/168*w**8 + 0*w + 0*w**4 + 0*w**3 - 1/60*w**5. What is the third derivative of o(p) wrt p?
-120*p**2
Let m(y) be the first derivative of -y**9/756 - y**6/360 + y**3 + 2. Let s(q) be the third derivative of m(q). What is the third derivative of s(h) wrt h?
-240*h**2
Let p(q) = -15*q**2 + 7. Let a(z) = 16*z**2 - 7. Let y(w) = -4*a(w) - 5*p(w). What is the derivative of y(t) wrt t?
22*t
What is the first derivative of -99*c + 10 - 8*c**2 + 99*c wrt c?
-16*c
Suppose -2*k = 2*k + 4. Let d(t) = 3*t - 5. Let n(h) = -h**2 + h - 1. Let a(j) = k*d(j) + 5*n(j). Find the second derivative of a(r) wrt r.
-10
Find the third derivative of -3*w**2 + 4 - 6*w**5 + 5*w**5 - 4 wrt w.
-60*w**2
Suppose 2*r - 6 = -2. What is the second derivative of 3*u**5 + 4*u + u + 2*u**5 - r*u**5 wrt u?
60*u**3
Let r be (-1 + 1)*1/(-2). Let c(a) be the third derivative of -a**2 + 0*a**5 - 1/6*a**3 + r*a**4 - 1/120*a**6 + 0*a + 0. What is the derivative of c(k) wrt k?
-3*k**2
Let l(q) = 3*q - 3. Let n be l(2). Find the third derivative of 3*f**2 + f**2 + n*f**6 + f**6 wrt f.
480*f**3
Find the third derivative of -34 + o**2 + 4*o**2 + 36 - 21*o**4 wrt o.
-504*o
Let f = -10 - -14. Suppose 2*c = k - 0*c, 5*k + f*c = 14. What is the derivative of 0*d**2 - 4*d**k + 2 + 5*d**2 wrt d?
2*d
Let r(w) = -42*w**4 + 39*w + 7. Let g(b) = 41*b**4 - 38*b - 6. Let h(t) = -7*g(t) - 6*r(t). What is the second derivative of h(x) wrt x?
-420*x**2
Let p = -34 - -34. Let l = 1 - -2. Find the first derivative of p*n + 3 + n**l + 4*n - 4*n wrt n.
3*n**2
Let t = -8 + 12. What is the second derivative of 5*q**t - 1 + 0 - 7*q + 1 wrt q?
60*q**2
Let y(o) = -48*o - 52. Let g(l) = 12*l + 13. Let v(t) = -18*g(t) - 4*y(t). Differentiate v(i) wrt i.
-24
Let r(m) = -6*m + 7. Let n(w) = 17*w - 22. Let l(d) = -2*n(d) - 7*r(d). Let g(p) = 9*p - 6. Let k(h) = 4*g(h) - 5*l(h). Differentiate k(q) with respect to q.
-4
Let b(s) be the first derivative of s**3/3 - 8*s**2 - 14. Find the second derivative of b(r) wrt r.
2
Suppose 4*c = 2 + 6. Find the third derivative of 6*q**6 - 8*q**2 - c*q**6 + 10*q**2 wrt q.
480*q**3
Let h(f) = f**2 - 9. Let z = -76 + 71. Let p(a) = a - 1. Let j be p(5). Let q(d) = -8. Let r(n) = j*h(n) + z*q(n). What is the first derivative of r(g) wrt g?
8*g
Suppose 0*k + 3*k = 15. Suppose 2*f - j - 8 - 2 = 0, -3*f + 15 = k*j. Find the third derivative of 4*h**f + 0 - 1 + 1 + 3*h**2 wrt h.
240*h**2
Find the first derivative of -2 - 14 - 7*u**3 + 0 wrt u.
-21*u**2
Let u = -6 + 10. Suppose u*v - 5*b = 14 + 4, -3*b - 6 = 0. Find the third derivative of -z**3 + 4*z**2 - 6*z**v + z**2 wrt z.
-6
Let g(y) be the first derivative of 0*y - 1 + 0*y**3 + 1/4*y**4 - y**2. What is the second derivative of g(c) wrt c?
6*c
Find the first derivative of 12 + 36*a**4 + 1 - 60*a**4 wrt a.
-96*a**3
Suppose 12 = 3*y - 5*y. Let z be 4/y + (-116)/(-12). Find the second derivative of -2*s + 9*s**2 - s**3 - z*s**2 wrt s.
-6*s
Let s = 4 + -2. Find the second derivative of -s*n**2 + n - n**2 + n wrt n.
-6
Let p(w) be the first derivative of w**6/6 + 2*w**2 + 4. What is the second derivative of p(g) wrt g?
20*g**3
Let c(u) = 15*u**3 - 2*u**2 - 2*u + 27. Let r(q) = 75*q**3 - 11*q**2 - 11*q + 136. Let g(j) = 11*c(j) - 2*r(j). Find the first derivative of g(p) wrt p.
45*p**2
What is the second derivative of 5*x + 26*x**3 - 26*x**3 + 3*x**5 wrt x?
60*x**3
Let q(j) = -2*j**4 + j**2 + 2*j. Let s(t) = t**5 + 5*t**4 - 3*t**2 - 5*t. Let m(i) = 5*q(i) + 2*s(i). Find the third derivative of m(c) wrt c.
120*c**2
Let f(a) be the second derivative of -13*a**4/12 - 5*a**2 + 9*a. What is the derivative of f(z) wrt z?
-26*z
Let p be ((-6)/9)/(3/(-9)). Differentiate 8 - 5 + p + 0*m + 5*m with respect to m.
5
Let i(q) = -q + 13. Let w be i(11). What is the third derivative of -2 + 3*v**6 + 4*v**2 - v**2 + w wrt v?
360*v**3
Suppose 3*b - 12 = -b. Find the third derivative of 3*l**2 + l**6 - b*l**6 - 3*l**6 + l**2 wrt l.
-600*l**3
What is the third derivative of 9*s**5 + 11*s**5 + 32*s**2 - 24*s**2 - 6*s**5 wrt s?
840*s**2
Let p be 2/6 - (-6)/9. Let i = p + 3. What is the third derivative of -2*z**2 + z**5 - 4*z**5 + i*z**2 wrt z?
-180*z**2
Let l(b) be the first derivative of 5*b**7 - 28*b**3/3 + 22. What is the third derivative of l(q) wrt q?
4200*q**3
Let b(n) be the second derivative of 11*n**5/10 + 2*n**3 + 21*n. What is the second derivative of b(d) wrt d?
132*d
Suppose 0 = 5*y - 11 + 1. Let d(t) be the first derivative of 0*t**2 + y + 1/4*t**4 + 0*t - t**3. What is the third derivative of d(u) wrt u?
6
Let m(r) be the first derivative of -1 - 6*r + 0*r**2 + 0*r**3 - 3/2*r**4. What is the derivative of m(n) wrt n?
-18*n**2
Let j(g) = -13*g**3 + 20*g**2 + 7*g. Let r(t) = -6*t**3 + 10*t**2 + 3*t. Let h(m) = 3*j(m) - 7*r(m). Find the third derivative of h(w) wrt w.
18
Let m(j) = -j - 5. Let c be m(-8). Let u = 6 - c. Differentiate u*n + 6 - 4 + 1 wrt n.
3
Let l = -7 - -10. Let v(g) be the first derivative of -1 + 0*g + 0*g**4 - 2/5*g**5 + g**2 + 0*g**l. What is the second derivative of v(u) wrt u?
-24*u**2
Let b(o) be the third derivative of 11*o**5/60 + o**4/8 - 7*o**2. What is the second derivative of b(k) wrt k?
22
Let u(s) = -48*s**3 - 6*s**2 - 37. Let m(r) = 47*r**3 + 5*r**2 + 36. Let q(d) = -6*m(d) - 5*u(d). What is the derivative of q(b) wrt b?
-126*b**2
Let l(p) be the second derivative of p**4/3 + 4*p**3/3 - 7*p. What is the second derivative of l(h) wrt h?
8
Let l(w) be the first derivative of 5*w**3/3 + 6*w**2 + 13. What is the second derivative of l(y) wrt y?
10
Let d(i) be the third derivative of i**6/4 - 13*i**5/60 - 3*i**2 + 5. What is the third derivative of d(s) wrt s?
180
Let w(v) be the second derivative of 5*v**7/21 - v**3/3 - 9*v**2/2 + 6*v. What is the second derivative of w(j) wrt j?
200*j**3
Suppose 2*r + 4 = -3*v, -r - 3*r + 36 = -5*v. Let w(l) be the second derivative of 0 + 0*l**3 - 3/2*l**2 + l + 1/4*l**r. What is the derivative of w(u) wrt u?
6*u
Let m(o) be the first derivative of -3 - 2/3*o**3 + 0*o**5 + 0*o**2 + 0*o + 0*o**4 + 2/3*o**6. Find the third derivative of m(i) wrt i.
240*i**2
Let s(g) be the third derivative of -g**8/12 - g**4/12 - 11*g**3/6 - 3*g**2 - 2*g. What is the second derivative of s(l) wrt l?
-560*l**3
Let s(o) be the third derivative of -4*o**6/15 - 7*o**5/20 - 3*o**2. Find the third derivative of s(y) wrt y.
-192
Suppose -3*b + 6 = -b. Find the second derivative of 2 + v - b*v**4 - 2 + 2*v wrt v.
-36*v**2
Let f(n) be the third derivative of -n**9/1008 - n**6/360 + n**3 + 3*n**2. Let l(m) be the first derivative of f(m). What is the third derivative of l(s) wrt s?
-180*s**2
What is the first derivative of -14*j**2 - 3 + 17*j**2 + 11 + 0 wrt j?
6*j
Let j(l) = -l**3 + l**2 + 1. Let r(z) = 7*z**3 + 2*z**2 - 3. Let a(u) = -3*j(u) - r(u). What is the third derivative of a(v) wrt v?
-24
Let v be -2 + 5 - 3/(-1). Find the second derivative of -5*b**5 + 3*b - v*b + b**5 - b wrt b.
-80*b**3
Suppose 0*x = 2*x - 4*i + 4, 0 = 5*i - 10. Find the second derivative of -7*h**x - 2*h - 2*h + 13*h**2 wrt h.
12
Suppose w + 2 + 7 = 3*j, 3*w - 9 = 0. Find the second derivative of -3*a**2 + j*a**2 + a**2 - a wrt a.
4
Let s(m) = m - 9. Let y be s(15). What is the first derivative of 35*w - 35*w - y - 6*w**4 wrt w?
-24*w**3
Suppose -v - v + 32 = 0. Suppose -m - 3*m = -v. Find the first derivative of 0*p**4 - p**4 + 3 - m wrt p.
-4*p**3
Let n(o) be the second derivative of 0*o**2 + 4*o + 0 - 1/3*o**4 + 0*o**5 - 1/42*o**7 + 0*o**6 + 0*o**3. What is the third derivative of n(x) wrt x?
-60*x**2
Find the first derivative of -15*o + 44*o - 32 - 24*o wrt o.
5
Suppose 7*d - 3*d - 2*h = 58, 3*d + 4*h = 71. Suppose 5*y = -2 + d. Find the third derivative of 0*x**2 - 2*x**5 + y*x**5 + 2*x**2 wrt x.
60*x**2
Let k(h) = 36*h**2 - h. Let o(q) = 9*q**2. Let i(x) = -6*k(x) + 22*o(x). Find the second derivative of i(z) wrt z.
-36
Suppose 5*c - 8 + 3 = 0. Differentiate c - 2 + 2 - f**4 with respect to f.
-4*f**3
Let t(d) = d**2 + 7*d + 5. Let a be t(-7). Suppose 5*u - 16 - 4 = 0. Find the first derivative of -2 + 4 + a*s**u - 4*s**4 wrt s.
4*s**3
Differentiate 0 + 5 - 3 + 6*s**2 - 3 with respect to s.
12*s
Find the third derivative of -1