d derivative of -o**7/840 + o**4/24 - o**3/2 + 3*o. Let r(w) be the second derivative of k(w). What is the first derivative of r(n) wrt n?
-3*n**2
Differentiate 118*f + 7*f**4 - 118*f - 6 with respect to f.
28*f**3
Let i(z) = 4*z**3 + 3*z - 4. Let u = 3 + -7. Let k(x) = 4*x**3 + 4*x - 5. Let q(j) = u*k(j) + 5*i(j). What is the second derivative of q(r) wrt r?
24*r
Let o(r) = 3*r + 9. Let q(x) be the third derivative of -x**4/24 - 2*x**3/3 - 4*x**2. Let g(c) = 2*o(c) + 5*q(c). What is the first derivative of g(s) wrt s?
1
Let t(p) be the second derivative of 7*p**4/4 - 19*p**2/2 + 30*p. What is the first derivative of t(s) wrt s?
42*s
Suppose g = 6*g. What is the first derivative of 124 + 2*k**3 + g*k**2 + 0*k**2 - 123 wrt k?
6*k**2
Let t(m) = 7*m + 6. Let z(v) = 7*v + 5. Let j be 9/45 - 16/5. Let l(s) = j*t(s) + 4*z(s). Find the first derivative of l(c) wrt c.
7
Suppose 0 = -0*y - 4*y + 24. Let g(l) = -l**2 + 8*l - 4. Let u be g(7). Find the third derivative of p**2 + 0*p**y + u*p**6 - 4*p**6 wrt p.
-120*p**3
Let d(n) be the third derivative of 5/24*n**4 + 0*n + 0 + 0*n**3 + 6*n**2 + 1/30*n**5. What is the second derivative of d(v) wrt v?
4
Let j = 4 + -2. Let y(n) = -13*n**2 - 5*n + 3. Let t(p) = 6*p**2 + 2*p - 1. Let f(z) = j*y(z) + 5*t(z). What is the derivative of f(d) wrt d?
8*d
Let z be 2 - (-3 + 2 - 2). Let r(a) = -8*a**2 + 2*a + 5. Let h(y) = -4*y**2 + y + 3. Let s(q) = z*h(q) - 3*r(q). What is the second derivative of s(w) wrt w?
8
Let y(i) = -6*i + 2. Let a = -4 - -5. Let g(d) = -d + 1. Let u(w) = a*y(w) - 4*g(w). What is the derivative of u(m) wrt m?
-2
Let a(p) = 2*p**3 + 4*p**2 - 3*p. Let j = -3 + 4. Let c(v) = -v**3 + v. Let t(k) = j*a(k) + 3*c(k). What is the third derivative of t(f) wrt f?
-6
Let i(d) be the second derivative of -d**6/15 - d**3 + 6*d. What is the second derivative of i(t) wrt t?
-24*t**2
Let t(n) = 2*n**6 - 3*n**2 - 5*n. Let w(o) = 2*o**6 - 3*o**2 - 4*o. Let z = 8 - 3. Let f(v) = z*w(v) - 4*t(v). Find the third derivative of f(d) wrt d.
240*d**3
Let g(o) = -o**2 + 0 + 13 - 2*o - 10*o + o. Let l be g(-12). Differentiate 0 - l + 0*r**3 - 2*r**3 with respect to r.
-6*r**2
Let u(i) be the third derivative of -i**9/3780 - i**6/144 + i**4/12 - i**2. Let j(q) be the second derivative of u(q). Find the second derivative of j(w) wrt w.
-48*w**2
Let h(m) be the first derivative of 5*m**2/2 + 16*m + 38. What is the first derivative of h(k) wrt k?
5
Let t(u) be the first derivative of 2*u**7 - 2*u**3 - 6. Find the third derivative of t(f) wrt f.
1680*f**3
Let c(z) = 41*z**3 + 3*z**2 - 5. Let i(r) = -62*r**3 - 5*r**2 + 8. Let y(n) = 8*c(n) + 5*i(n). What is the third derivative of y(u) wrt u?
108
What is the second derivative of -1 + 3 - 2 - 6*f + 12*f**3 wrt f?
72*f
What is the first derivative of 9*g**4 - 20 + 1 - 19 wrt g?
36*g**3
Let o be -2 - (0 - 3) - -1. What is the third derivative of -13*c**o + 5*c**2 - 2*c**4 + 4*c**4 wrt c?
48*c
Let r(s) be the third derivative of -13*s**7/210 - s**5/6 + 5*s**2. What is the third derivative of r(p) wrt p?
-312*p
Let t(m) = -5*m**2 + m**2 - m**2 - 2 - m**3 + 5*m. Let l be t(-6). Find the third derivative of -70*o + 70*o + 4*o**2 - 3*o**l wrt o.
-72*o
Suppose -a = -t - 2*t + 7, 4*t = -3*a + 31. What is the derivative of -1 - 5 + t + 2*m wrt m?
2
What is the third derivative of 18*y**2 + 33*y**3 - 15*y**2 + 17*y**2 - 3*y**2 wrt y?
198
Let n(m) be the first derivative of 9*m**4 + 27*m - 39. What is the derivative of n(y) wrt y?
108*y**2
Let y(r) be the second derivative of 0*r**3 + 1/20*r**5 + 0*r**4 + r - 5/2*r**2 + 0. What is the derivative of y(f) wrt f?
3*f**2
Let m(q) = -q**2 + q - 1. Let n(k) = k**2 - 5*k + 8. Let j(i) = 10*m(i) + 2*n(i). Differentiate j(c) with respect to c.
-16*c
Suppose -6 = -5*j + 3*j. Suppose -4*h - 2*s + 26 = 0, 0 = -j*h - 4*s + 16 + 11. What is the third derivative of -c**2 + h*c**2 - 2*c**2 + c**3 wrt c?
6
Let n(p) = p**5 + p**3 + p**2. Let a(g) = -17*g**5 + 3*g**3 - 8*g**2. Let c(w) = -a(w) + 3*n(w). Find the third derivative of c(s) wrt s.
1200*s**2
Let c(a) be the second derivative of a**8/560 - a**6/360 - a**3/2 + a. Let s(z) be the second derivative of c(z). What is the third derivative of s(l) wrt l?
72*l
Let d(f) be the third derivative of 0 + 0*f**5 + 0*f**7 + f**2 - 1/4*f**4 - 3/112*f**8 + 0*f**3 + 0*f + 0*f**6. What is the second derivative of d(s) wrt s?
-180*s**3
Let p(x) = x - 2*x - 3*x - 1 + x. Let d be p(-1). Find the first derivative of o**3 - 2 - d*o**3 + 0*o + 0*o wrt o.
-3*o**2
Let t(b) be the second derivative of 5/12*b**4 + 0*b**2 - 2*b - 1/3*b**3 + 0. What is the second derivative of t(k) wrt k?
10
Suppose 3 = 4*q - q. Let k = q - -1. Find the third derivative of h**3 - 4*h**2 + 3*h**k - h**2 wrt h.
6
Find the third derivative of 25*r**5 - 12*r**2 - 60*r**5 + 20*r**5 wrt r.
-900*r**2
Differentiate 10*p + 9 - 5 - 1 wrt p.
10
Find the third derivative of -2*x**3 + 29*x**2 - 27*x**2 - 4*x**3 wrt x.
-36
Differentiate 3*u**3 - 6*u**3 - 1 + 0 - u**3 with respect to u.
-12*u**2
Let b(y) = -21*y + 25. Let k(q) = 22*q - 24. Let r(h) = -7*b(h) - 6*k(h). Differentiate r(x) wrt x.
15
Find the first derivative of -j**3 - 2*j**3 - 3*j**3 - 15 - 5*j**3 wrt j.
-33*j**2
Let b(x) be the second derivative of -x**9/7560 - x**5/40 - x**4/12 + 3*x. Let t(s) be the third derivative of b(s). Find the first derivative of t(y) wrt y.
-8*y**3
Let a(x) be the third derivative of 7*x**5/20 - x**4/12 - 11*x**3/3 + 2*x**2 - 4. What is the second derivative of a(p) wrt p?
42
Let b(a) = a**6 - 5*a**4 + 11*a**2 + 5*a. Let l(c) = -c**6 + 8*c**4 - 16*c**2 - 8*c. Let f(s) = -8*b(s) - 5*l(s). What is the third derivative of f(o) wrt o?
-360*o**3
What is the first derivative of 6*h**2 - 1 - h - 7 + h wrt h?
12*h
Suppose -5*g + 0 = 10, -2*q = 2*g - 50. Find the second derivative of 3*s**3 - q + 6*s + 27 wrt s.
18*s
Suppose 0*w = 2*w - 6. Let b(n) be the first derivative of -3*n + 2*n**2 + w - 2 + 1. What is the derivative of b(l) wrt l?
4
Let d(q) be the first derivative of -4*q**3/3 + q**2/2 - 2. What is the second derivative of d(y) wrt y?
-8
Let f(n) = -2 + 2 - 2 + n**2 - n. Let l = 2 - 3. Let v(g) = g**3 - g**2 + g. Let m(s) = l*f(s) - v(s). What is the derivative of m(c) wrt c?
-3*c**2
Let c = -2 + 4. What is the second derivative of 3*l**3 - 3*l + c*l + 0*l - 2*l**3 wrt l?
6*l
Suppose 15 = -3*n + 2*n + 2*s, n + 2*s - 5 = 0. Let k(i) = 3*i + 3. Let f(w) = -w - 2. Let r(a) = n*f(a) - 2*k(a). What is the derivative of r(o) wrt o?
-1
Let w(a) be the second derivative of a**4/24 - a**3/3 + a**2/2 + a. Let q(f) be the first derivative of w(f). Differentiate q(y) with respect to y.
1
Suppose 4*h - 140 = -h. Suppose 2*m = -0*o + 3*o + 1, 5*m = -o + h. Find the first derivative of -3 - 5*k + 6*k - k + o*k**2 wrt k.
6*k
Let x be (-5)/(-3) - 1/(-3). Let t = 137 - 135. What is the second derivative of 2 - 2*s - x*s + t*s**5 - 2 wrt s?
40*s**3
Let i be (-3 + -3)/((-3)/2). Let d(m) be the first derivative of 2 + 0*m + 1/2*m**2 + 0*m**3 + 1/2*m**i. What is the second derivative of d(l) wrt l?
12*l
Let x(j) be the second derivative of -1/2*j**3 - 8*j + 0*j**2 - 1/6*j**4 + 0. What is the second derivative of x(q) wrt q?
-4
Let a(k) = -19*k**2 - 9*k + 17. Let y(f) = -5*f + 0*f**2 + 4 + 3*f - 5*f**2. Let q(r) = 2*a(r) - 9*y(r). What is the derivative of q(u) wrt u?
14*u
Differentiate -8*b + 3*b + 16 + 5*b - 7*b**2 wrt b.
-14*b
Let z = 16 + -13. Let u(k) = 18*k**5 + 18*k**2 - 7*k. Let r(l) = 9*l**5 + 9*l**2 - 3*l. Let s(c) = z*u(c) - 7*r(c). Find the third derivative of s(y) wrt y.
-540*y**2
Let f(x) be the third derivative of x**5/12 - x**3/3 - 5*x**2. Differentiate f(q) with respect to q.
10*q
Let o = -2 - -5. Find the first derivative of -2*u**3 + 4 - 4 + o*u**3 - 3 wrt u.
3*u**2
Let s(p) be the second derivative of -p**5/4 + p**4/2 - p. Find the third derivative of s(r) wrt r.
-30
Suppose 10 = 5*m + 5*j, -m + 6 = 3*j + 4. Suppose 2 = m*y - y. Differentiate y*b**4 + 1 - 3*b**3 + 3*b**3 wrt b.
8*b**3
Let q = -47 - -51. Let p(d) = 5*d**2 - 3*d - 6. Let z(v) = 12 + 3*v + v - 5 - 6*v**2. Let k(f) = q*p(f) + 3*z(f). What is the derivative of k(j) wrt j?
4*j
Let c(j) = -6*j**2 + j**3 + 5 + 7*j**2 + j + 4*j**2. Let p be c(-5). Find the second derivative of -2*t**5 + p*t**5 + 3*t**5 -