b(y) be the third derivative of y**9/168 - y**5/5 + 9*y**2. What is the third derivative of b(v) wrt v?
360*v**3
Differentiate 13*h - 5*h - 6 + 0*h with respect to h.
8
Let m(d) = -d**5 + d**3 - d - 1. Let u(t) = 9*t**5 + 5*t**3 - 11*t - 5. Let o(p) = 5*m(p) - u(p). What is the second derivative of o(c) wrt c?
-280*c**3
Find the second derivative of -6*l**2 + 6*l**2 + 32*l + 27*l**3 - l**3 wrt l.
156*l
Let p(o) = 10*o**5 + 12*o**2 - 5. Let d(z) = 11*z**5 + 12*z**2 - 6. Let h(x) = -5*d(x) + 6*p(x). What is the third derivative of h(w) wrt w?
300*w**2
Let g(m) be the third derivative of 0*m + 0*m**6 - 1/105*m**7 + 0*m**3 - m**2 + 0 + 0*m**4 + 1/15*m**5. What is the third derivative of g(b) wrt b?
-48*b
Let w(x) be the second derivative of -x**7/280 - x**4/6 - x**3/3 + 2*x. Let h(a) be the second derivative of w(a). Differentiate h(f) wrt f.
-9*f**2
Let g(t) be the third derivative of 19*t**6/120 - 11*t**5/60 - 11*t**2. Find the third derivative of g(y) wrt y.
114
Let w(t) be the third derivative of t**9/28 + 17*t**5/30 + 34*t**2. Find the third derivative of w(p) wrt p.
2160*p**3
Let j(h) be the first derivative of 3*h**2 - 3*h + 2. Differentiate j(t) wrt t.
6
Suppose j = 4*u - 15, 2*u = -5*j + 6*u + 5. Let i be 28/j + 2/5. Differentiate h**3 - 2 - 2*h**3 + i with respect to h.
-3*h**2
Let n(b) be the third derivative of -b**5/30 - b**4/4 - 22*b**2. Find the second derivative of n(k) wrt k.
-4
Let u(w) = -6*w**4 - 28*w**3 + 47*w**2 + 5*w - 5. Let j(g) = -g**4 + g**3 + g**2 + g - 1. Let n(t) = -5*j(t) + u(t). Find the third derivative of n(p) wrt p.
-24*p - 198
Let r(l) = 9*l**3 - 4*l**2 - 6*l - 6. Let d(z) = 19*z**3 - 8*z**2 - 13*z - 13. Let x(o) = 6*d(o) - 13*r(o). What is the third derivative of x(b) wrt b?
-18
Let z(l) be the third derivative of -l**8/56 + l**4/4 + 4*l**2. What is the second derivative of z(w) wrt w?
-120*w**3
Let a = 5 + -5. Differentiate -4*l**3 + a + 7*l**3 + 1 wrt l.
9*l**2
What is the second derivative of l + 4*l**2 + 0*l**2 - 9*l**2 wrt l?
-10
Suppose 2*k - 8 = 0, 2*l - 2 = -2*k + 4. Let w(s) = -s. Let p(i) = -5*i**2 - 25*i + 5. Let o(f) = l*p(f) + 25*w(f). Differentiate o(t) wrt t.
10*t
Let h(a) be the third derivative of 13*a**6/60 + 3*a**3 + 8*a**2. Differentiate h(g) with respect to g.
78*g**2
Let i(q) be the third derivative of -q**7/105 - 10*q**3/3 + 26*q**2. Differentiate i(a) with respect to a.
-8*a**3
Let q(x) = -x - 4. Let s(j) = 3*j + 11. Let r(t) = 7*q(t) + 2*s(t). What is the first derivative of r(m) wrt m?
-1
Find the second derivative of -s + 11*s**3 - 970*s**2 + 970*s**2 wrt s.
66*s
Let x(w) be the second derivative of w**7/210 - w**6/180 - 2*w**3/3 - 3*w. Let l(k) be the second derivative of x(k). Find the third derivative of l(y) wrt y.
24
Let h(c) be the second derivative of -c**10/10080 + c**7/1260 + c**4/4 + c. Let y(s) be the third derivative of h(s). Find the third derivative of y(r) wrt r.
-180*r**2
Let n(t) be the second derivative of -t**6/5 + 9*t**2/2 + 19*t. Differentiate n(l) with respect to l.
-24*l**3
Let a(w) be the first derivative of -1/2*w**4 + 0*w**3 + 0*w + 3 + 2*w**2. What is the second derivative of a(h) wrt h?
-12*h
Suppose 0 = 2*i - 9 + 3. Let a(x) be the first derivative of -x + 3/5*x**5 + 0*x**3 - i + 0*x**2 + 0*x**4. Differentiate a(h) wrt h.
12*h**3
Let z(x) be the first derivative of -3*x**4/4 - x**2/2 + 3. What is the second derivative of z(p) wrt p?
-18*p
Let c be -1*1/((-1)/2). Find the third derivative of -14*r**3 - 6*r**c + 17*r**3 + 3*r**2 wrt r.
18
Let l(m) be the first derivative of 7/3*m**3 + 7 + 0*m - 5/2*m**2. What is the second derivative of l(r) wrt r?
14
Let t(r) be the second derivative of 1/6*r**4 + 0*r**5 + 0*r**3 + 0*r**2 + 0*r**7 + 0*r**6 + 0 + r - 1/28*r**8. Find the third derivative of t(m) wrt m.
-240*m**3
Let d(t) be the third derivative of t**5/20 + 3*t**4/8 + 2*t**2. Find the second derivative of d(g) wrt g.
6
Let s(f) = 6*f**3 + 4*f - 3. Let g(w) = 13*w**3 + 8*w - 5. Let q(a) = 3*g(a) - 5*s(a). What is the second derivative of q(h) wrt h?
54*h
Let r(s) be the second derivative of s**6/30 - s**3/2 - 2*s. Find the second derivative of r(p) wrt p.
12*p**2
Let d(r) = -2*r + 2 + 2*r**2 - 2*r + 0. Let o be d(2). What is the derivative of 2 + 2*k**2 - 2*k**4 - o*k**2 wrt k?
-8*k**3
Suppose 2*z - 3*v = -0*v - 1, 2 = 2*z - 2*v. Differentiate -2 + 6*i**z - 3*i**4 + 1 + i**4 with respect to i.
16*i**3
Let a(c) = c**2 + 8*c + 7. Let r be a(-7). Find the second derivative of u - u**5 + r*u + 2*u**5 wrt u.
20*u**3
Let h(l) = 4*l**3 - 4*l - 36. Let y(p) = -9*p**3 + 10*p + 72. Let d(m) = 5*h(m) + 2*y(m). Find the first derivative of d(a) wrt a.
6*a**2
Let m(z) be the third derivative of 11*z**7/210 + z**4/6 + 10*z**2. What is the second derivative of m(i) wrt i?
132*i**2
Let j(s) = -s**3 - 8*s**2 + 9*s + 6. Let y be j(-9). What is the third derivative of 0*g**2 + 0*g**2 + 0*g**y + 3*g**2 + 4*g**6 wrt g?
480*g**3
Let c(g) be the second derivative of -2/5*g**5 + 0 + 2*g + 0*g**4 + 0*g**3 + 4*g**2. Find the first derivative of c(s) wrt s.
-24*s**2
Suppose 11*i = 10*i + 2. Let t(s) be the second derivative of 0*s**3 + 0 + 1/12*s**4 + 1/2*s**i - 2*s. Differentiate t(r) wrt r.
2*r
Suppose -20 = -2*j - 2*j. Let m(k) = k**3 + 5*k**2 + 6*k + 3. Let i be m(-2). What is the first derivative of -4*o + j*o - i - 4*o + 4*o wrt o?
1
What is the third derivative of 2*q**6 - 7*q**6 - 3*q**6 - 2*q**2 wrt q?
-960*q**3
What is the first derivative of 10*f**2 + 3*f**2 + 5 - 7*f**2 wrt f?
12*f
Let x(d) be the third derivative of d**9/12096 + d**7/1680 + d**5/30 - d**2. Let o(p) be the third derivative of x(p). Find the second derivative of o(b) wrt b.
30*b
Differentiate -2 + 4*r**2 + 4*r**2 + 9*r**4 - 8*r**2 with respect to r.
36*r**3
Let z(a) be the second derivative of 0*a**4 + 0 - 2*a + 0*a**2 + 3/20*a**5 + 1/2*a**3. Find the second derivative of z(m) wrt m.
18*m
Let z(r) be the second derivative of -19*r**3/6 + 37*r**2/2 + 13*r. Find the first derivative of z(w) wrt w.
-19
Let b be (1 - 4)/((-6)/20). Suppose -5*k = -b*k + 4*s + 47, 4*k - 40 = 4*s. Find the third derivative of -l**2 + 6*l**3 - k*l**3 + 0*l**2 wrt l.
-6
Let y(s) = 7*s - 2. Let c(q) = -6*q + 2. Let o(u) = -4*c(u) - 3*y(u). What is the derivative of o(j) wrt j?
3
What is the second derivative of k + 0*k - 14*k**2 - 2*k - k wrt k?
-28
Let q = -13 + 15. Let o(f) = 10*f - 6. Let y(j) = -5*j + 3. Let b(h) = q*o(h) + 5*y(h). What is the first derivative of b(t) wrt t?
-5
Suppose -c - 5*v = 3*c - 11, 3*c = -4*v + 8. Suppose 5*o - 6 = -3*h, -h + 2 = -6*o + o. Find the first derivative of -4*l**2 + c*l**2 - 6 + 2*l**3 + h wrt l.
6*l**2
Let w(n) = 8*n**4 - 1. Let z(v) = v**4 - 4*v**4 - 6*v**4 + 2*v**4. Let g(i) = -4*w(i) - 5*z(i). Differentiate g(s) with respect to s.
12*s**3
Let r(o) = o**2 - 1. Let i(a) = -5*a**2 - 5*a + 1. Let d(s) = -i(s) - 4*r(s). Let f be d(-5). Differentiate 3*z**4 + f*z**4 + 2 - 5*z**4 wrt z.
4*z**3
Let s(g) be the third derivative of -5*g**8/336 + g**4/3 - 2*g**2. Find the second derivative of s(o) wrt o.
-100*o**3
Let q(d) be the first derivative of 0*d**4 + 0*d + 0*d**2 - 1 - 1/5*d**5 - d**3. What is the third derivative of q(f) wrt f?
-24*f
What is the second derivative of -46*j**2 - 5602 - 15*j + 5602 wrt j?
-92
Let b(r) be the second derivative of -r**5/5 - r**3/6 - 7*r. Find the second derivative of b(k) wrt k.
-24*k
Let c(a) be the second derivative of a**5/15 + a**4/6 - a**3/3 - a. Let b(x) be the second derivative of c(x). What is the derivative of b(t) wrt t?
8
Let w(n) be the second derivative of n**7/2520 + n**6/720 + n**4/3 - 3*n. Let y(i) be the third derivative of w(i). Find the second derivative of y(b) wrt b.
2
Let b(q) = -q**5 - q**4 + 1. Let l(z) = -2*z**5 - z**4 - 11*z + 1. Let a(p) = -b(p) + l(p). Find the second derivative of a(m) wrt m.
-20*m**3
Let v(m) be the third derivative of -m**6/15 + 7*m**5/30 + 11*m**2. Find the third derivative of v(u) wrt u.
-48
What is the third derivative of -14*p**2 - 13*p**3 + 16*p**3 - 7*p**3 wrt p?
-24
Let k(n) = n - 8. Let s be k(18). What is the third derivative of 3*v - 3*v + 8*v**5 + s*v**2 wrt v?
480*v**2
Let l(v) be the second derivative of v**8/14 - 2*v**7/21 + 5*v**4/12 + v**2 + 2*v + 46. What is the third derivative of l(c) wrt c?
48