ird derivative of d(p) wrt p.
6
Let n(y) be the first derivative of -2*y**6/15 + 5*y**3/6 + 6*y + 5. Let o(m) be the first derivative of n(m). What is the second derivative of o(d) wrt d?
-48*d**2
Let a(w) be the first derivative of -5*w**3/3 + 5*w + 8. Find the first derivative of a(y) wrt y.
-10*y
Let n(p) = p**2 + p. Suppose 0*d - d = -1. Let f be n(d). Find the third derivative of -f*z**6 - 1 - 2*z**2 + 1 + 4*z**2 wrt z.
-240*z**3
Let p(x) = 2*x - 2. Let v be p(4). Let d be (v/4)/((-1)/(-2)). What is the second derivative of -5 + 2 + 3 + 3*n + d*n**3 wrt n?
18*n
Let l(y) = -5*y**2 + 5*y - 7. Let c(a) = 2*a**2 - 3*a + 3. Let u(t) = 5*c(t) + 3*l(t). Differentiate u(v) wrt v.
-10*v
Let v(q) be the first derivative of -2*q**3 - 3*q**2 + 4. What is the second derivative of v(w) wrt w?
-12
Let p(a) be the third derivative of a**5/60 + a**4/12 - a**3/3 - 2*a**2. Let o(b) be the first derivative of p(b). Find the first derivative of o(j) wrt j.
2
Let u(j) be the first derivative of -j**6/30 - j**3/3 - 2*j - 3. Let h(p) be the first derivative of u(p). Find the second derivative of h(y) wrt y.
-12*y**2
Let z(t) = t**3 + 6*t**2 - 2*t - 7. Let u be z(-6). What is the third derivative of 2*b**4 - b**u + b**2 - 2*b**4 + 2*b**5 wrt b?
60*b**2
Suppose 0 = 2*f - 3*f. Let d(t) be the first derivative of f*t**4 + 2/3*t**3 + 0*t**2 + 0*t - 1 + 1/5*t**5. Find the third derivative of d(o) wrt o.
24*o
Let j(c) be the third derivative of -3*c**5/20 - c**3/6 + 2*c**2. Differentiate j(r) wrt r.
-18*r
Suppose -14*z + 18*z - 68 = 0. Find the third derivative of -9*m**2 - z*m**4 + 17*m**4 + 2*m**6 - m**6 wrt m.
120*m**3
Let x be 5*(-1 + 3)/2. Let h = 8 - x. What is the derivative of -2 + 2*l**2 - 5*l + 5*l - h*l**2 wrt l?
-2*l
Let f(d) be the first derivative of 11*d**3 - 21*d - 3. Find the first derivative of f(a) wrt a.
66*a
Suppose n + 2*n = 6. What is the third derivative of 0*j**2 - j**2 + 4*j**5 + j**5 - 2*j**n wrt j?
300*j**2
Let y(u) be the third derivative of 3*u**7/35 + 7*u**3/6 - u**2. Differentiate y(i) wrt i.
72*i**3
Suppose 2*a + 2 = -2*v, -5*a - 8 - 3 = 3*v. What is the first derivative of -3 + 4*c**3 - 6*c**v + 5 wrt c?
-6*c**2
Let j(b) be the first derivative of -3*b**8/112 - b**5/20 - b**2 + 8. Let w(r) be the second derivative of j(r). What is the third derivative of w(g) wrt g?
-540*g**2
Let s(v) be the third derivative of 49*v**5/60 - 19*v**3/3 + 4*v**2. Differentiate s(g) wrt g.
98*g
Let n(u) be the second derivative of -3*u**7/14 - u**4/12 - 7*u. What is the third derivative of n(z) wrt z?
-540*z**2
Let n(l) be the second derivative of -l**3/3 + 7*l**2/2 - 7*l. Find the first derivative of n(v) wrt v.
-2
Find the first derivative of 2*m**4 + 41 - 2*m**3 - 44 + 2*m**3 wrt m.
8*m**3
Let g(d) be the third derivative of d**7/105 + d**5/20 - d**4/8 + d**3/3 - 14*d**2. What is the second derivative of g(u) wrt u?
24*u**2 + 6
Find the third derivative of s**3 - 492 - 2*s**2 + 492 wrt s.
6
Let m(o) = o**4 + 1. Let c(n) = -50*n**4 - 3*n**2 - 8*n + 6. Let h(l) = -c(l) + 6*m(l). Find the third derivative of h(a) wrt a.
1344*a
Find the third derivative of -5*j**3 - 8 + 4*j**4 + 3*j**3 - 22*j**4 + j**2 - 28 wrt j.
-432*j - 12
Let k(m) be the second derivative of 11*m**4/2 + 8*m**3/3 - m**2 + m + 4. What is the second derivative of k(l) wrt l?
132
Let x(b) be the first derivative of 11*b**3/3 - b**2/2 - 12. What is the second derivative of x(g) wrt g?
22
Let a(l) = -42*l**2 - 4*l - 37. Let x(n) = 42*n**2 + 3*n + 38. Let c(r) = 3*a(r) + 4*x(r). Differentiate c(q) wrt q.
84*q
Let l(z) be the first derivative of z**3/3 - 15*z**2/2 + 5. Find the second derivative of l(g) wrt g.
2
Let u(q) be the second derivative of -8*q**3 + 15*q**2/2 + 28*q. Differentiate u(r) with respect to r.
-48
Let r(d) be the second derivative of 11*d**4/4 + 35*d**3/6 - 44*d. What is the second derivative of r(q) wrt q?
66
Let t(h) = 15*h**3 + 6*h**2. Let s(u) = -15*u**3 - 5*u**2. Let v(m) = -3*s(m) - 2*t(m). Find the third derivative of v(c) wrt c.
90
Let k(d) = 20*d**4 + 25*d**3 + 20*d**2 + 25. Let z(v) = v**4 + v**3 + v**2 + 1. Let i(s) = -k(s) + 25*z(s). Find the third derivative of i(u) wrt u.
120*u
Let v(y) = -14*y**3 - 9*y**2 - 6*y + 6. Let p(j) = -13*j**3 - 8*j**2 - 5*j + 5. Let a(o) = 6*p(o) - 5*v(o). Find the third derivative of a(f) wrt f.
-48
Let t(u) be the first derivative of -u**4 - 10*u + 8. Differentiate t(k) wrt k.
-12*k**2
Let t(z) = -z**3 - z. Let q(x) = 6*x**3 + 2*x**2 + 5*x. Let r(m) = -3*q(m) - 15*t(m). What is the third derivative of r(i) wrt i?
-18
Let g(f) be the third derivative of f**9/60480 - f**6/360 + f**5/30 - 2*f**2. Let q(c) be the third derivative of g(c). Differentiate q(i) with respect to i.
3*i**2
Let o(l) be the first derivative of 3/5*l**5 + 0*l**4 + 0*l**2 + l**3 + 0*l - 3. What is the third derivative of o(w) wrt w?
72*w
Let h(i) be the second derivative of i**8/14 - i**4/12 - 4*i. Find the third derivative of h(s) wrt s.
480*s**3
Let u be 12/(-15)*(1 - 7 - -1). Let v(p) be the third derivative of 0*p + 0 - 1/30*p**5 + 1/24*p**u + 0*p**3 + 2*p**2. Find the second derivative of v(a) wrt a.
-4
Let v(l) be the third derivative of l**6/10 - l**4/4 - 8*l**2. Find the second derivative of v(g) wrt g.
72*g
Let c be ((-1)/2)/((-5)/60). What is the first derivative of -3 + c + 5*t**3 + 0 - 4 wrt t?
15*t**2
Let k(d) = -53*d**3 - 9*d**2 - 12*d + 6. Let n(t) = -53*t**3 - 10*t**2 - 13*t + 7. Let j(g) = 7*k(g) - 6*n(g). Find the third derivative of j(c) wrt c.
-318
Find the third derivative of -34*k**2 + 85*k - 24*k**3 - 85*k - 8*k**3 wrt k.
-192
Let v(y) be the second derivative of 5*y**8/14 + 7*y**4/12 + 20*y. Find the third derivative of v(l) wrt l.
2400*l**3
Let y(d) = -51*d**3 + 5*d + 29. Let h(n) = 26*n**3 - 2*n - 15. Let t(l) = 5*h(l) + 2*y(l). What is the first derivative of t(w) wrt w?
84*w**2
Differentiate 74 - 52*s**2 + 5*s**2 - 69*s + 69*s with respect to s.
-94*s
Let f be (-8)/(-36) - 4/18. Suppose f = h + h - 6. What is the second derivative of -4*a**5 - a + h*a**5 + 0*a**4 + 0*a**4 wrt a?
-20*a**3
Find the third derivative of 4*d**2 - 5*d**5 - d**5 - 2*d**2 wrt d.
-360*d**2
What is the derivative of 3*c**4 + 9 - c**4 - 5*c**4 wrt c?
-12*c**3
Let q(z) be the third derivative of -z**6/30 - 4*z**3/3 - 10*z**2. Differentiate q(i) wrt i.
-12*i**2
Suppose 0 = -4*b + 3*x + 9, -b + 2 = -2*x + 1. Differentiate 4*d - b*d + 0*d - 5 + d wrt d.
2
Let y(n) be the second derivative of n**3/2 + 7*n**2/2 + 5*n. What is the first derivative of y(z) wrt z?
3
Suppose h = 1 - 3. Let a = 2 - h. What is the derivative of 0 + a - 2*g**4 - 3 wrt g?
-8*g**3
Find the second derivative of -2*h**3 + 163*h**2 - 163*h**2 + 6*h - 3*h**3 wrt h.
-30*h
Let j(m) be the first derivative of 1/3*m**3 + 0*m + 4 - m**2. What is the second derivative of j(v) wrt v?
2
Let p(r) = 20*r**5 - 16*r**2 + 54*r + 16. Let q(u) = -4*u**5 + 3*u**2 - 11*u - 3. Let j(t) = 3*p(t) + 16*q(t). What is the second derivative of j(g) wrt g?
-80*g**3
What is the second derivative of -2180*r**2 - 9*r**5 + 2180*r**2 - 5*r wrt r?
-180*r**3
Let u(a) be the third derivative of 1/20*a**5 + 0*a**4 - 4*a**2 + 0*a**3 + 0*a + 0 - 1/30*a**6. Find the third derivative of u(h) wrt h.
-24
What is the third derivative of 22*n**6 + 9*n**2 - 9*n**6 - 20*n**6 wrt n?
-840*n**3
Suppose 8*m = 13*m. Let f(n) be the second derivative of 0*n**3 - 1/6*n**4 - 1/2*n**2 - 2*n + m. Differentiate f(s) wrt s.
-4*s
Let i(a) = 27*a**3 + 7*a**2 + 7*a + 9. Let n(j) = -28*j**3 - 6*j**2 - 6*j - 9. Let b(z) = -6*i(z) - 7*n(z). Find the first derivative of b(m) wrt m.
102*m**2
What is the second derivative of -3*m - 11*m**2 - 6*m + 0*m wrt m?
-22
Let n = -68/3 - -23. Let x(f) be the second derivative of 0 + n*f**3 + 2*f - 1/2*f**2. What is the derivative of x(m) wrt m?
2
Let d(v) be the third derivative of -5*v**4/12 + 11*v**3/6 + 4*v**2. Let b(u) = 5*u - 5. Let r(o) = 5*b(o) + 2*d(o). What is the first derivative of r(f) wrt f?
5
Let c(p) be the third derivative of 0 - 3/8*p**4 + 0*p + 4/3*p**3 - 7*p**2. What is the derivative of c(k) wrt k?
-9
Let p(a) be the third derivative of a**7/210 - 7*a**4/24 - 6*a**2. What is the second derivative of p(r) wrt r?
12*r**2
Let i(z) = z + 1. Let c be i(3). What is the third derivative of 0 + d**2 + 1 -