the first derivative of d(x) wrt x.
1
Let k(l) be the third derivative of l**9/60480 + l**6/360 + l**5/30 + 4*l**2. Let g(r) be the third derivative of k(r). Differentiate g(m) wrt m.
3*m**2
Let y(u) be the first derivative of 0*u + 1/2*u**6 - 2 + 0*u**4 + 1/2*u**2 + 0*u**5 + 0*u**3. Find the second derivative of y(d) wrt d.
60*d**3
Let c(q) be the second derivative of -q**10/2520 + q**6/120 - q**3 - 6*q. Let z(w) be the second derivative of c(w). What is the third derivative of z(v) wrt v?
-240*v**3
Let o(n) be the second derivative of 11*n**4/6 - 21*n**2/2 + 6*n. What is the first derivative of o(a) wrt a?
44*a
Suppose -12 = 19*c - 23*c. Let i(a) be the first derivative of 3 + 1/2*a**4 + 3/2*a**2 + 0*a**c + 0*a. Find the second derivative of i(y) wrt y.
12*y
What is the third derivative of 100*t**4 + 14*t**2 + 13*t**6 - 46*t**4 - 54*t**4 wrt t?
1560*t**3
Suppose 0*c + 5*c - 5 = 0. Differentiate -4*a + c + 0*a + 3*a + 5*a with respect to a.
4
Let y(a) = 5*a**2 - a. Let l(n) = -3*n**2 + 2*n**2 - 3*n**2 + n - 2*n**2 - n**3. Let p(t) = -5*l(t) - 6*y(t). Find the second derivative of p(c) wrt c.
30*c
Let j(k) = 3*k**2 - 2*k + 1. Let q be j(1). Suppose q*z - 12 = -2. What is the derivative of -z*v + v - 3 + 2*v**3 + 4*v wrt v?
6*v**2
Let g = 8 + -5. Suppose 5*p - 6*p = -g. What is the second derivative of 4 - d**p - d - 4 wrt d?
-6*d
Find the third derivative of 10*h**5 - 27*h**5 + 13*h**2 + 4*h**5 wrt h.
-780*h**2
Differentiate -7*g**4 - 13*g**4 - 2248 + 2268 with respect to g.
-80*g**3
Let q(m) = -m. Let p(x) = 3*x**2 + 2*x - 5. Suppose 2*t + 0*t + 4 = 0. Let f(j) = t*q(j) - p(j). Differentiate f(b) with respect to b.
-6*b
Let s(h) = 9*h**4 + 25*h**2 - 17*h - 17. Let j(q) = -3*q**4 - 8*q**2 + 6*q + 6. Let a(d) = 17*j(d) + 6*s(d). What is the third derivative of a(f) wrt f?
72*f
Suppose -3*q = -q - 4. Suppose q*l + l = 6. What is the third derivative of -l*z**4 - 3*z**2 + 4*z**2 - z**4 wrt z?
-72*z
Let t(h) be the first derivative of -h**6/15 - h**4/3 - 2*h - 4. Let k(y) be the first derivative of t(y). What is the third derivative of k(i) wrt i?
-48*i
Let n(i) = -i**2 + 2*i + 4. Let b be n(0). Find the third derivative of g + 4*g**2 - 2*g**4 - 5*g + b*g wrt g.
-48*g
Let l(p) be the third derivative of p**6/40 + p**5/60 - 4*p**2. What is the third derivative of l(f) wrt f?
18
Let a(q) = -3*q**2 - q + 4. Let l(m) = 2*m**2 + 2*m - 5. Let c(r) = -5*a(r) - 4*l(r). Find the second derivative of c(p) wrt p.
14
Let y(n) = -2*n**2 - n. Let g(w) = 4*w**2 + 3*w. Suppose -a - 6 = 2*a. Let q(d) = a*g(d) - 5*y(d). What is the second derivative of q(r) wrt r?
4
Let r(w) = -7*w**5 + 3*w**3 + 5*w**2. Let a(g) = -20*g**5 + 8*g**3 + 16*g**2. Let s(p) = -3*a(p) + 8*r(p). What is the third derivative of s(m) wrt m?
240*m**2
Let q = 1 - -1. Find the third derivative of -2 - d**5 + 2 + 3*d**2 + 0*d**q wrt d.
-60*d**2
Find the third derivative of 5*g**6 - 5*g**6 - g**6 + 5*g**2 wrt g.
-120*g**3
Let c(p) be the third derivative of 13*p**6/120 + 5*p**3/6 + 19*p**2. Differentiate c(w) wrt w.
39*w**2
Let y(p) be the third derivative of 9*p**6/40 - 7*p**5/60 + p**2 + 14. What is the third derivative of y(r) wrt r?
162
Let r = 8 + -9. Let u be r + 5 - (3 - 1). What is the second derivative of -1 + 2*l + u*l**2 + 1 wrt l?
4
Suppose -8*f + 24 = -4*f. What is the third derivative of r**2 - 2*r**2 + 6*r**2 + 2*r**5 - f*r**2 wrt r?
120*r**2
Let r = 4 + 0. Find the second derivative of 3*l**3 - 6*l**4 - 3*l**3 + 5*l + 2*l**r wrt l.
-48*l**2
Let y(n) be the second derivative of -17*n**8/56 + 4*n**4/3 + 44*n. Find the third derivative of y(w) wrt w.
-2040*w**3
Let h(i) = i**3 - 6*i**2 + i + 2. Let u be h(7). What is the third derivative of -2*f**4 + 4*f**2 - u*f**3 + 58*f**3 wrt f?
-48*f
Let d(c) be the second derivative of -c**5/20 - c**3/6 + 11*c. What is the second derivative of d(j) wrt j?
-6*j
Let a(d) be the third derivative of d**6/40 + d**3 + d**2. What is the first derivative of a(r) wrt r?
9*r**2
Let g(t) be the second derivative of -3*t**5/2 + 18*t**2 - 37*t. Differentiate g(x) with respect to x.
-90*x**2
Let j(q) = q**3 - 8*q**2 - 10*q + 11. Let p be j(9). What is the second derivative of 3*c - c**3 + p*c - 10*c wrt c?
-6*c
Let h be 11/4 - (-2)/8. Suppose h = -2*j + 7. What is the first derivative of 5 - 3*i**2 + 4*i**j - 3 wrt i?
2*i
Let g be ((-24)/10)/((-18)/120). Suppose -5*h + g - 6 = 0. What is the third derivative of 4*d**5 + 8*d**2 + 2*d - 7*d**h - 2*d wrt d?
240*d**2
Let t(z) = z + 1. Let f be 5/7 - 6/(-21). Let h(b) = 2*b**3 + b**2 - 6*b - 6. Let l(d) = f*h(d) + 6*t(d). What is the third derivative of l(g) wrt g?
12
Suppose 2*l - 40 = -3*l. Let q = -6 + l. Find the third derivative of f**6 - q*f**2 - 4*f**6 + 0*f**2 - f**2 wrt f.
-360*f**3
What is the first derivative of -o + 7 - 1 - o wrt o?
-2
Let u(z) be the third derivative of -7*z**5/60 - z**3/6 - 9*z**2. What is the first derivative of u(n) wrt n?
-14*n
Find the third derivative of z**4 + 17*z**4 + 3*z**4 - 35*z**4 - 26*z**2 wrt z.
-336*z
Let x = 4 - 3. Let p(u) = 3*u**3 - u**2 + u - 2. Let b(h) = -h**3 + h**2 - h. Let r(l) = x*p(l) + b(l). Find the first derivative of r(m) wrt m.
6*m**2
Suppose -5*k = l - 12, 5 - 1 = -2*l + 4*k. Differentiate 0*n**l - 4 + 3*n**2 + 0*n**2 + 0 with respect to n.
6*n
Let x(j) be the first derivative of 3/2*j**2 + 6 - 2*j**3 + 0*j. Find the second derivative of x(z) wrt z.
-12
Let z(v) be the first derivative of v**4/6 - 2*v**3/3 + v**2/2 - 7. Let d(f) be the second derivative of z(f). What is the first derivative of d(q) wrt q?
4
Let b(f) = f**4 - 2*f**3 + 2*f**2 + 2*f + 8. Let o(v) = -2*v**4 + 5*v**3 - 5*v**2 - 5*v - 17. Let c(y) = -5*b(y) - 2*o(y). What is the derivative of c(x) wrt x?
-4*x**3
Suppose z = -4*z + 10. What is the derivative of -2*l - 2*l**2 - z*l - 2 + 4*l wrt l?
-4*l
Let l(o) = o**3 + 12*o**2 + o + 15. Let s be l(-12). What is the second derivative of -5 + u**s - u + 5 wrt u?
6*u
Suppose 4*i + 9 + 3 = 0. Let g be (-2)/(i/54 + 0). What is the second derivative of 4*t + 36*t**2 - g*t**2 - t**4 wrt t?
-12*t**2
Suppose -3*z + 8 = -5*j + z, 0 = -4*j + z - 2. Suppose j - 4 = -g. Find the second derivative of n - n**2 + 0*n**2 - g*n wrt n.
-2
What is the derivative of -1019*t**3 - 1 - 1 + 1045*t**3 wrt t?
78*t**2
Suppose -3*p - 1 = -2*k + 8, k = 4*p + 7. Suppose 2*x - 40 = -k*x. Differentiate 2 + 8*v + 2*v**3 - x*v with respect to v.
6*v**2
Let c(n) = -n + 1. Let u(w) = 7*w + 2. Let s(x) = 2*c(x) + u(x). Let d(z) = 3*z + 2. Let y(a) = -5*d(a) + 2*s(a). Differentiate y(b) wrt b.
-5
Let w(s) be the first derivative of 4*s - 3/5*s**5 + 0*s**2 + 0*s**3 - 3 + 0*s**4. What is the derivative of w(u) wrt u?
-12*u**3
Suppose -6*d + 3*d + 26 = -2*h, -3*h + 5 = d. Differentiate 24*l**2 - d*l**4 - 24*l**2 + 8 wrt l.
-32*l**3
Let o(m) = -110*m**2 + 45*m - 265. Let a(s) = -5*s**2 + 2*s - 12. Let u(t) = 45*a(t) - 2*o(t). Differentiate u(c) wrt c.
-10*c
Differentiate 10*b**4 - 2*b**4 + 8 + 0 + 8*b**4 wrt b.
64*b**3
Let s = 8 + -5. What is the derivative of -2*m**2 - 2*m**2 + 3*m**2 + s wrt m?
-2*m
Let l(k) = -k**3 - 3*k**2 - 3*k - 7. Let b(w) = -8*w + w - 7*w**2 + 0*w - 15 - 3*w**3. Let p(u) = 3*b(u) - 7*l(u). What is the derivative of p(r) wrt r?
-6*r**2
Let l = -18 + 22. Let r(i) = -i - 3. Let y be r(-6). Find the third derivative of y*a**2 - a**l - a**4 - 2*a**2 wrt a.
-48*a
Let z(x) = x**4 - x**3 + x**2 - x - 1. Let r(b) = -3*b**4 - 4*b**3 - 8*b**2 - 4*b - 4. Let s(a) = r(a) - 4*z(a). Find the third derivative of s(q) wrt q.
-168*q
Let a = 7 + -7. Let z(t) be the first derivative of 0*t**4 + a*t**6 + 2 + 0*t**2 + 0*t - 1/7*t**7 + 0*t**5 - 1/3*t**3. Find the third derivative of z(q) wrt q.
-120*q**3
Suppose 3*v + 2*v + 28 = 4*c, 0 = -2*c - v. What is the third derivative of 2*j - 2*j**6 - j**6 - j**c - 2*j wrt j?
-360*j**3
Let k(a) be the third derivative of -a**7/280 + a**4/12 - a**3/6 - 2*a**2. Let c(u) be the first derivative of k(u). Find the first derivative of c(t) wrt t.
-9*t**2
Let m(s) = -5*s**2 - 2 + 4 + 0*s**2 - 5. Let f(n) = n**3 - 21*n**2 - 13. Let j(d) = -6*f(d) + 26*m(d). What is the third derivative of j(h) wrt h?
-36
Let j(k) be the third derivative of 0*k**6 + 0*k - 3*k**2 + 0*k**4 + 0*k**7 + 1/30*k**5 - 1/112*k**8 + 0*k**3 + 0. What is the third deriva