 derivative of r(i) wrt i?
6*i
Let o(a) be the third derivative of 5*a**8/112 + a**5/60 + 4*a**2. Find the third derivative of o(r) wrt r.
900*r**2
Let v(g) be the second derivative of g**4/2 - 7*g**2/2 - 5*g. What is the derivative of v(q) wrt q?
12*q
Suppose -2*j = 3*j - 15. Find the first derivative of -7*r**j + 6 - 4 - 9 wrt r.
-21*r**2
Let s(v) be the second derivative of v**6/6 + 3*v**4/2 - 10*v. What is the third derivative of s(z) wrt z?
120*z
What is the derivative of -17*m**3 + 59*m**3 - 2 + 25 wrt m?
126*m**2
Let m be (3/9)/(2/12). Suppose 0 = m*o - 4*o + 6. Find the second derivative of -4*s**2 - 3*s + s + s + o*s**2 wrt s.
-2
Let v(a) be the third derivative of -a**5/30 - a**3/3 - 5*a**2. Differentiate v(h) with respect to h.
-4*h
Let f(w) = -11*w**3 + 2*w**3 - 9*w**2 - 4*w**3 - 4*w**3. Let n(t) = 6*t**3 + 3*t**2. Let l(o) = -4*f(o) - 11*n(o). Find the third derivative of l(g) wrt g.
12
What is the second derivative of 13*o - 6*o**4 - 4*o**4 - 23*o - 15*o wrt o?
-120*o**2
Let m(j) = 2*j**2 + 4*j - 2. Let z be m(-4). What is the first derivative of -28*s**2 + z*s**2 + 9 + 17*s**2 wrt s?
6*s
Let k(m) be the third derivative of m**7/14 + 5*m**4/24 + 11*m**2. Find the second derivative of k(a) wrt a.
180*a**2
Let w(h) be the second derivative of -3*h**8/28 + 11*h**4/12 - 27*h. What is the third derivative of w(c) wrt c?
-720*c**3
Suppose -3*y + 6*d - 4 = 4*d, 4*d - 20 = 0. Find the second derivative of 0*c + c - y*c**3 - 2*c**3 + c**3 wrt c.
-18*c
Let u(g) = 9*g**2 + 24*g. Let h(q) = -16*q**2 - 49*q. Let l(o) = 4*h(o) + 9*u(o). Find the second derivative of l(f) wrt f.
34
Find the third derivative of 4*f**5 + 0*f**3 + 54*f**2 - 14*f**5 + 11*f**5 - 8*f**3 wrt f.
60*f**2 - 48
Let r = 9 + 17. Let q be (-4)/(-10) - r/(-10). What is the second derivative of 2*s**5 + 0*s**5 - q*s + 4*s wrt s?
40*s**3
Let b(d) = d**4 - d**3 - d**2 + d - 1. Let s(q) = 12*q**4 + 4*q**3 + 4*q**2 - 4*q + 18. Let o(n) = 4*b(n) + s(n). What is the first derivative of o(v) wrt v?
64*v**3
Let x(c) be the third derivative of -5*c**8/168 - 11*c**5/60 - 40*c**2. What is the third derivative of x(z) wrt z?
-600*z**2
Let z = -5 - -9. Suppose g - 7 = -3*c, -5*g + 8 = -z*c + 49. Find the second derivative of 0*o**4 - o + 0*o + 2*o**c wrt o.
24*o**2
Let p(n) be the second derivative of -31*n**5/10 - 17*n**4/12 + n**2/2 + 29*n. What is the third derivative of p(y) wrt y?
-372
Suppose 6 = d - 3. Suppose -3*g + d = -0*g. What is the second derivative of -g*p - p**3 + p + p wrt p?
-6*p
Let p(c) be the second derivative of c**7/42 + 7*c**4/12 + 10*c. Find the third derivative of p(r) wrt r.
60*r**2
Let j(v) be the third derivative of 0 - v**2 + 1/40*v**6 + 0*v**4 + 0*v + 0*v**5 + 7/6*v**3. Differentiate j(s) with respect to s.
9*s**2
Suppose -4*r - 2 = 2*y - 4*y, 5*r - 15 = -y. Let z = r + 1. What is the second derivative of w**3 + w + 0*w + 0*w**z wrt w?
6*w
Let p(q) be the first derivative of 19*q**6/6 - 13*q**3 - 5. What is the third derivative of p(x) wrt x?
1140*x**2
Let c(d) be the third derivative of 0*d + 0*d**6 + 0*d**7 + 1/8*d**4 + 0*d**5 + 3*d**2 + 0*d**3 - 1/56*d**8 + 0. What is the second derivative of c(m) wrt m?
-120*m**3
Let b(j) be the second derivative of -4*j**5/5 + 8*j**2 + 24*j. Differentiate b(p) wrt p.
-48*p**2
Suppose 0 = 2*a - 0 + 6. Let p be a/(-6) + (-11)/(-2). Find the third derivative of -g**2 + p*g**2 + g**5 - 3*g**2 wrt g.
60*g**2
Let g(c) be the second derivative of -c**7/210 - c**5/20 + c**2/2 + c. Let z(u) be the first derivative of g(u). What is the third derivative of z(f) wrt f?
-24*f
Let j(r) be the third derivative of 3*r**6/40 + 3*r**4/8 - 5*r**2. Find the second derivative of j(g) wrt g.
54*g
Find the second derivative of -f - 45*f**2 + 2 - 17 - 7*f**2 + 7 wrt f.
-104
Let a(z) be the first derivative of 3*z**6/10 - 11*z**4/12 - 3*z + 5. Let f(g) be the first derivative of a(g). What is the third derivative of f(i) wrt i?
216*i
Let d be ((-1)/(-2))/(6/24). What is the second derivative of 2*r - 4*r + 2*r**d - r + 2*r wrt r?
4
Let z(q) be the second derivative of q**5/5 - 17*q**4/12 - 5*q. What is the third derivative of z(u) wrt u?
24
Suppose 0*h = h. Let f(a) be the third derivative of 0*a**3 - 1/12*a**4 + 0*a - 3*a**2 + h - 1/30*a**5. What is the second derivative of f(s) wrt s?
-4
Let i(n) be the first derivative of 5*n**4/4 - 2*n - 12. What is the derivative of i(u) wrt u?
15*u**2
Suppose -20 = -0*m - 5*m. Find the first derivative of 2*g + 3 - 4*g + m*g wrt g.
2
Let n(y) = y**3 - y**2 + y + 1. Let l(w) = -18*w**3 + 10*w**2 - 10*w - 16. Let x(m) = -2*l(m) - 20*n(m). Differentiate x(g) with respect to g.
48*g**2
Suppose 2*x = -3*x. Differentiate -3 - 5*w**3 + 7*w**3 + x wrt w.
6*w**2
Let z(m) = -m**3 - m**2 + 1. Let x = 0 + 1. Let r(l) = 2*l**2 + 3*l - 2. Let n(a) = x*r(a) + 2*z(a). What is the second derivative of n(w) wrt w?
-12*w
Let q(l) be the second derivative of 4*l**7/7 + l**3 + 28*l. Find the second derivative of q(r) wrt r.
480*r**3
What is the derivative of 26*n + 26*n + 31 - 16*n + 0 wrt n?
36
Find the second derivative of -8*q**3 + 3*q + 2*q**3 - 7*q wrt q.
-36*q
Let v be ((-4)/4)/(1/3). Let n = v - -5. Differentiate b**3 + b**2 - 2 - b**n wrt b.
3*b**2
Let c(q) be the third derivative of -q**5/15 - 7*q**3/6 + 6*q**2. Find the first derivative of c(r) wrt r.
-8*r
Find the third derivative of 0*a**2 - 2*a**4 + a**4 - 5*a**2 wrt a.
-24*a
Let a = -5 - -7. Find the third derivative of b**3 - 4*b**3 - 12*b**a + 11*b**2 wrt b.
-18
Suppose -5*a = -a - 16. Let k(q) = 2*q + 1 + 2 - a*q. Let y(x) = 3*x - 4. Let r(h) = 7*k(h) + 5*y(h). What is the first derivative of r(l) wrt l?
1
Let n(s) = -3*s**3 - 3*s + 3. Let o(g) = g**2 + g**4 - 4*g - 2 - g**3 + 3*g**3 + 6*g. Let f(a) = -4*n(a) - 6*o(a). What is the third derivative of f(v) wrt v?
-144*v
Let t(h) = -h**3 + h. Let m be t(1). What is the second derivative of 0*c - 4*c - 3*c**3 + m*c + 2*c wrt c?
-18*c
Suppose -3*j - 20 - 1 = -3*c, 2*c + 4*j + 16 = 0. Differentiate 7*b**2 - 5*b**3 - 7*b**c - 1 + 3 with respect to b.
-15*b**2
Let a(c) = 10*c**5 - 5*c**4 - 6*c**2 - 5. Let l(q) = -5*q**5 + 3*q**4 + 3*q**2 + 3. Let n(v) = 3*a(v) + 5*l(v). Find the third derivative of n(r) wrt r.
300*r**2
Let r be -6*(13/(-3) - -4). Let o(c) be the third derivative of -1/6*c**3 + 0 + 0*c - c**r + 1/24*c**4. Differentiate o(l) with respect to l.
1
Let q(h) be the third derivative of -11*h**6/120 + 5*h**4/24 + 5*h**2. What is the second derivative of q(s) wrt s?
-66*s
Suppose 5*r = 3*r. Let p(k) be the third derivative of -1/24*k**4 + 0 + 0*k**3 + 1/30*k**5 - k**2 + r*k. Find the second derivative of p(c) wrt c.
4
Let a = -5 - -8. What is the derivative of -4 + 2*i**2 + i**2 + a*i**2 wrt i?
12*i
Let q(c) be the first derivative of -7*c**4/4 - c**3 - 10. What is the third derivative of q(t) wrt t?
-42
Let r(y) be the third derivative of -y**6/10 - 3*y**3/2 + 16*y**2. What is the first derivative of r(l) wrt l?
-36*l**2
Let s(w) be the second derivative of 0*w**5 + 2/21*w**7 + 0 + 0*w**2 - 1/6*w**4 + 3*w + 0*w**3 + 0*w**6. What is the third derivative of s(n) wrt n?
240*n**2
Let p(s) = -s**3 - 4*s**2 - 3*s + 11. Let v be p(-5). What is the second derivative of -v + 6*f**5 - 6*f + 0*f**5 + 51 wrt f?
120*f**3
Let b(p) be the second derivative of 1/6*p**4 + 0*p**2 - 2*p - 1/6*p**3 + 0. Find the second derivative of b(m) wrt m.
4
Let f = 7 - 8. Let b(t) = -1. Let s(a) = 6*a**3 - 6. Let z(w) = f*s(w) + 4*b(w). Find the first derivative of z(i) wrt i.
-18*i**2
Let o(v) = -1 - v**2 - v + 0 + 0*v + 2*v. Let k(q) = -3*q**2 - 5*q + 3*q**2 + 8*q**2 + 4. Let u(t) = k(t) + 5*o(t). Find the first derivative of u(a) wrt a.
6*a
Let d(q) = q**4 + 4*q + 7. Let n(b) = 2*b**4 + 11*b + 22. Let k(t) = -11*d(t) + 4*n(t). Differentiate k(l) wrt l.
-12*l**3
Find the second derivative of -101 + 101 + 2*a - 4*a**4 wrt a.
-48*a**2
Let u(x) = 20*x**4 + 5*x**3 - 14*x - 5. Let a(s) = -10*s**4 - 2*s**3 + 7*s + 2. Let w(m) = 5*a(m) + 2*u(m). Find the second derivative of w(j) wrt j.
-120*j**2
Let m(u) be the second derivative of 0*u**4 + 2*u - 3/20*u**5 - 1/6*u**3 + 0 + 0*u**2. What is the second derivative of m(s) wrt s?
-18*s
Let v(x) = -4*x + 1. Let t be v(1). Let a = 3 - t. Differentiate -5*i + 1 + 0 + a*i with respect to i.
1
Let