What is the third derivative of c(p) wrt p?
48*p
Let a(l) be the first derivative of l**7/420 - l**5/40 - l**3 - 4. Let m(j) be the third derivative of a(j). Find the second derivative of m(k) wrt k.
12*k
Let l(a) be the second derivative of 7*a**5/20 - 3*a**3 - 10*a. What is the second derivative of l(k) wrt k?
42*k
Let d(z) = -3*z + 6 + 0*z + 0*z. Let y(m) = -1. Let x(t) = d(t) + 4*y(t). Find the first derivative of x(b) wrt b.
-3
Let z = 5 + -1. Let c be 14/3*6/4. Find the second derivative of -m**z + c*m - 9*m - m wrt m.
-12*m**2
Let d(s) = s**5 - s**3 - s**2 + 1. Let c(l) = l**5 + 6*l**3 + 2*l**2 - 6. Let h(p) = -c(p) - 6*d(p). What is the third derivative of h(g) wrt g?
-420*g**2
Let u(o) be the third derivative of o**8/84 - 7*o**4/24 + 4*o**2. Find the second derivative of u(l) wrt l.
80*l**3
Let t(n) be the second derivative of n**5/15 + n**4/6 - 2*n**2 - 4*n. Let m(h) be the first derivative of t(h). Find the second derivative of m(r) wrt r.
8
Suppose -2*j - j + 6 = 0. Differentiate i - 5 + j - 1 + i with respect to i.
2
Let z(g) = 60*g**2 - 7*g - 105. Let t(l) = 20*l**2 - 2*l - 35. Let b(a) = -7*t(a) + 2*z(a). Differentiate b(n) with respect to n.
-40*n
Find the third derivative of 6*w**3 + 11*w**2 + 11*w**3 - 4*w**2 + 4*w**2 wrt w.
102
Suppose 0*j = 2*j. Suppose j = h + 4*h. Differentiate 0*n + n + h*n + 1 wrt n.
1
Let f be (8/(-3))/(14/(-21)). What is the second derivative of -16*x**2 - f*x + 16*x**2 + 6*x**4 wrt x?
72*x**2
Find the first derivative of 3 + b**2 - 9*b**2 - b**2 + 5*b**2 wrt b.
-8*b
Find the third derivative of 2*y - 8*y + 9*y**5 + 6*y - 7*y**2 wrt y.
540*y**2
Suppose 0 = 3*q + d - 5, -3*q + 11 = -3*d - 10. What is the third derivative of 3*n**3 - 2*n**2 + 0*n**3 - 4*n**4 - q*n**3 wrt n?
-96*n
Let i(o) be the first derivative of -o**8/336 - o**4/12 + o**2/2 - 2. Let m(w) be the second derivative of i(w). Find the second derivative of m(d) wrt d.
-20*d**3
Let m(n) be the third derivative of n**7/210 + 5*n**3/6 + 9*n**2. Find the first derivative of m(v) wrt v.
4*v**3
Let u(v) = 5. Let p(h) = -h + 16. Let w(l) = 4*p(l) - 11*u(l). What is the first derivative of w(o) wrt o?
-4
Let u(p) be the first derivative of -p**10/630 + p**6/90 - 2*p**3 - 4. Let w(i) be the third derivative of u(i). What is the third derivative of w(k) wrt k?
-960*k**3
Let q(u) be the third derivative of u**8/84 - u**4/8 + 6*u**2. What is the second derivative of q(t) wrt t?
80*t**3
Let t(a) be the third derivative of a**9/15120 + a**5/30 + a**4/12 - a**2. Let i(l) be the second derivative of t(l). Find the first derivative of i(o) wrt o.
4*o**3
What is the derivative of 2*g**2 + 36*g - 5 - 36*g wrt g?
4*g
Let m(v) be the second derivative of v**7/420 - 7*v**5/120 + v**4/12 - 8*v. Let u(n) be the third derivative of m(n). Differentiate u(b) with respect to b.
12*b
Let w(n) be the second derivative of n**7/360 + 7*n**5/120 - 5*n**4/12 + n. Let z(a) be the third derivative of w(a). Differentiate z(d) with respect to d.
14*d
Let m(s) = 4*s - 2. Let r be m(2). Suppose -r + 2 = -2*v. What is the third derivative of -2*b**v - 3*b**5 - b**3 + b**3 wrt b?
-180*b**2
Let a(j) be the third derivative of j**8/280 - j**6/72 - 5*j**3/6 - j**2. Let x(n) be the first derivative of a(n). What is the third derivative of x(k) wrt k?
144*k
Differentiate 28 - 48 - 19*k**4 + 0 wrt k.
-76*k**3
Let f(a) = -a**2 + 10*a + 15. Let j be f(11). Differentiate 1 + c**j + 1 - 3*c**4 wrt c.
-8*c**3
Let p(y) be the first derivative of y**10/2520 - y**6/180 + y**3/3 - 4. Let s(w) be the third derivative of p(w). Find the third derivative of s(u) wrt u.
240*u**3
Let j(y) be the third derivative of 11*y**6/120 - y**3/3 - 3*y**2. Let o(h) = -h**3. Let z(k) = j(k) + 6*o(k). Differentiate z(v) with respect to v.
15*v**2
Let v be (-60)/(-8)*(-12)/(-10). Suppose v*l + 6 = 12*l. What is the second derivative of -2*z + l*z**5 - 5*z**5 + 0*z wrt z?
-60*z**3
Let d(f) be the first derivative of 2*f**2 + 2 + 1/4*f**4 + 0*f + 0*f**3. What is the second derivative of d(p) wrt p?
6*p
Let y(w) be the first derivative of 0*w**5 + 0*w + 0*w**4 + 1/3*w**6 + 2 + 0*w**2 - w**3. Find the third derivative of y(i) wrt i.
120*i**2
Let q(v) be the first derivative of 2*v**5/5 + 9*v**2/2 + 9. Find the second derivative of q(m) wrt m.
24*m**2
Let q(t) be the first derivative of t**5/12 + t**4/12 + 3*t**2 - 2. Let i(j) be the second derivative of q(j). Find the second derivative of i(b) wrt b.
10
Let v = 1 + 0. Let p be 0/(-4*v - -2). What is the second derivative of p*z + 2*z - 2*z**2 - z wrt z?
-4
Let s(f) be the second derivative of 0*f**3 - 3*f - 1/12*f**4 + 0*f**5 + 0 + 0*f**2 - 1/10*f**6. What is the third derivative of s(r) wrt r?
-72*r
Suppose -3*s = 3*q - 24, 4*s + 4*q = q + 28. Find the second derivative of 3*c - 2*c + c**4 + 3*c + 0*c**s wrt c.
12*c**2
What is the third derivative of -11*a**2 - a**4 + 4*a**2 - 3*a**4 wrt a?
-96*a
Let z(x) = 2*x - 10. Let s be z(7). What is the derivative of -4*f**s + 3*f**4 + 4*f**4 + 1 wrt f?
12*f**3
Suppose 5*i + 10 = -4*w, -3*i - 5 = 4*w + 9. Find the second derivative of 5*s + s - 8*s**i - 4*s wrt s.
-16
Suppose -2*b + 11 = -2*a - 7, -5*a - 15 = b. Suppose 0*l - 15 = -b*l. Find the first derivative of 1 - l - 2*t**4 + 1 - 1 wrt t.
-8*t**3
Let s(j) = 7*j**3 + 5*j**2 + 2*j + 5. Let q(g) = -g**3 - g**2 - g - 1. Let l = 2 + -7. Let w(p) = l*q(p) - s(p). What is the second derivative of w(m) wrt m?
-12*m
Let a(i) be the second derivative of -2*i**7/21 + 25*i**4/12 + 4*i. Find the third derivative of a(j) wrt j.
-240*j**2
Let v be (2 - (4 - 2)) + -8. Let s = 11 + v. What is the second derivative of -s*m**5 - 6*m + 2*m + 2*m wrt m?
-60*m**3
Let a(o) = o**3 + o - 1. Let h(s) = 15*s**3 - 3*s**2 + 12*s - 12. Let u(n) = 12*a(n) - h(n). What is the third derivative of u(d) wrt d?
-18
Let x(h) = 18*h**6 - 2*h**4 + 59*h**2 + 2*h + 2. Let m(z) = z**6 - z**4 + z**2 + z + 1. Let r(l) = 2*m(l) - x(l). What is the third derivative of r(q) wrt q?
-1920*q**3
Let k(g) be the second derivative of -2*g**8/7 - g**5/10 + g**4/4 + 3*g**3 - 30*g. What is the third derivative of k(m) wrt m?
-1920*m**3 - 12
Let m(f) = 10*f**4 - 14*f + 3. Let c(b) = -b**4 + b - 1. Let j(a) = 3*c(a) + m(a). Find the second derivative of j(z) wrt z.
84*z**2
Let k(q) = -36*q**4 + 7*q**3 + 45*q**2 - 7. Let c(z) = -18*z**4 + 4*z**3 + 23*z**2 - 4. Let h(v) = 7*c(v) - 4*k(v). Find the third derivative of h(l) wrt l.
432*l
Let g(i) be the third derivative of 0*i - 1/20*i**5 + 3*i**2 + 0*i**3 + 0*i**4 - 1/40*i**6 + 0. What is the third derivative of g(k) wrt k?
-18
Let l(d) be the second derivative of d**7/840 + d**6/360 - d**4/6 - 3*d. Let i(g) be the third derivative of l(g). Find the second derivative of i(o) wrt o.
6
Let l(t) = 6*t**2 + 5*t + 2. Let z(i) = i**2 + i + 1. Suppose -2*u - 3 - 7 = -4*n, -15 = 5*u. Let b(d) = n*l(d) - 5*z(d). What is the derivative of b(r) wrt r?
2*r
Let j = -3 + 6. Find the second derivative of w - 4*w - w + 5*w**3 - 11*w**j wrt w.
-36*w
Suppose -g - 12 = 2*g. Let l be 1*7 - (g - -5). What is the third derivative of -2*w**2 + 0*w**2 + 3*w**2 + 3*w**l wrt w?
360*w**3
Let l(i) be the second derivative of 0 + 0*i**2 + 0*i**5 + 0*i**3 - 1/2*i**4 - i + 0*i**6 - 2/21*i**7. Find the third derivative of l(o) wrt o.
-240*o**2
Find the third derivative of 154*r**5 - 3*r**2 + r**2 - 130*r**5 - 4*r**2 wrt r.
1440*r**2
Find the third derivative of 0*i**5 + 21*i**2 - 3*i**5 - 21*i**5 wrt i.
-1440*i**2
Let d(t) be the third derivative of -t**9/1008 - t**6/120 - t**3/6 + t**2. Let g(x) be the first derivative of d(x). What is the third derivative of g(h) wrt h?
-180*h**2
Let l(m) = 7 + 0 - 6. Let v(p) = 2*p - 8. Let c(y) = l(y) + v(y). Differentiate c(w) wrt w.
2
Let s(y) be the third derivative of y**6/360 + y**5/60 + y**4/6 + 2*y**2. Let f(q) be the second derivative of s(q). Find the first derivative of f(i) wrt i.
2
Let x(j) be the second derivative of -j**7/6 - 7*j**3/6 - 10*j. Find the second derivative of x(r) wrt r.
-140*r**3
Let o(z) be the second derivative of z**4/12 - z**3/6 - z. Let r be o(3). What is the derivative of -2*w + 4 + 3 - r wrt w?
-2
Let y(b) = 25*b**2 - 2*b. Let t(l) = 50*l**2 - 5*l. Let c(r) = -4*t(r) + 7*y(r). What is the second derivative of c(o) wrt o?
-50
Find the sec