168*r - 18
What is the third derivative of 11*v**6 + v**2 + 2*v**2 + 6*v**2 wrt v?
1320*v**3
Let n(o) = o**2 + 4*o + 4. Let u be n(-4). Let l(i) = -i + 9. Let s be l(u). What is the second derivative of 3*y + y**2 + y**2 - s*y wrt y?
4
Let l(n) = n**3 + 32*n - 5. Let f(x) = -x**3 - 33*x + 6. Let v(i) = -5*f(i) - 6*l(i). Find the second derivative of v(w) wrt w.
-6*w
Let z(f) = -f**3 - f. Let t(x) = -2*x. Let a(g) = -t(g) - 4*z(g). What is the second derivative of a(d) wrt d?
24*d
Differentiate 52*x**2 - 30*x**2 - x - 47*x**2 + 44 with respect to x.
-50*x - 1
Let j(b) = b**3 + 3*b**2 - 3*b - 3. Let n be j(-3). What is the third derivative of 6 + t**n - t**2 - 5 - 1 wrt t?
120*t**3
Suppose 4*i + 9 = 3*i. Let t = i - -12. Find the second derivative of 3*l**3 - 3*l**3 + l + 0*l**3 + l**t wrt l.
6*l
Suppose 5 = -y + 8. What is the first derivative of -5*f**3 + f**y + 0*f**3 - 2 wrt f?
-12*f**2
Suppose 2*r = 2, -5*r = 4*y - 9*y - 5. Suppose -p + 5*d - 22 = y, -4*p - 4*d + 27 = -d. Find the third derivative of -2*a**4 + 17*a**2 + p*a**4 - 16*a**2 wrt a.
24*a
What is the second derivative of 8*i**2 - 214*i - 50*i**2 + 188*i wrt i?
-84
Let x(j) = -16*j**3 - 4*j**2 - 4*j + 4. Let i(g) = 16*g**3 + 3*g**2 + 5*g - 3. Let d(h) = 4*i(h) + 3*x(h). What is the second derivative of d(l) wrt l?
96*l
Let o(v) = -v**2 + 3*v + 2. Let d be o(3). Differentiate -3*c + d*c**2 + 3*c + 3 with respect to c.
4*c
Differentiate -2 - 2 + 3 + 3 - o with respect to o.
-1
Suppose -5*r + 5*f + 15 = 0, -5*r + 10*r = -f + 33. Find the second derivative of r*c**5 + 4*c**5 + 3*c - 2*c - 6*c**5 wrt c.
80*c**3
Let a(f) = -13*f**3 - 6*f - 5. Let v(k) = -27*k**3 - 13*k - 10. Let o(y) = -13*a(y) + 6*v(y). Differentiate o(p) with respect to p.
21*p**2
What is the second derivative of -y + 4*y**4 + 8*y**4 - 3*y**4 wrt y?
108*y**2
Let h(f) = -57*f**5 - 33*f**4 - 279*f**2 - 33. Let u(l) = -7*l**5 - 4*l**4 - 35*l**2 - 4. Let g(a) = 4*h(a) - 33*u(a). Find the third derivative of g(z) wrt z.
180*z**2
Let l(h) be the third derivative of 11*h**8/336 - 7*h**4/12 + 5*h**2. What is the second derivative of l(t) wrt t?
220*t**3
Let c(g) = -g**2 + g + 5. Let q be c(0). Let a(s) = -s**2 + 1. Let y be a(-1). What is the third derivative of y + 2*v**2 + 0 + v**5 - 4*v**q wrt v?
-180*v**2
Let s(j) = -5*j**2 - 2*j + 8. Let r(x) = 5*x**2 + 3*x - 9. Let o(m) = 4*r(m) + 6*s(m). What is the derivative of o(y) wrt y?
-20*y
Let y = 16 - 9. Let t = y + 0. What is the second derivative of -t*b**2 - 2*b**2 - b + 6*b**2 wrt b?
-6
Let w(o) = -4*o**5 + 6*o**3 - 6*o**2 + 6*o + 6. Let n(q) = -q**3 - q**2 - q - 1. Let v(b) = 6*n(b) + w(b). What is the third derivative of v(c) wrt c?
-240*c**2
Let g(q) = 20*q**6 + 6*q**5 - 44*q**2 + 6*q + 6. Let p(m) = m**5 - m**2 + m + 1. Let h(f) = -g(f) + 6*p(f). What is the third derivative of h(u) wrt u?
-2400*u**3
Let u(b) = -b + 1. Let r(g) = 2*g - 3. Let p(d) = r(d) + 3*u(d). Let k(f) = 9*f + 3. Let a(t) = -k(t) - 12*p(t). Differentiate a(c) wrt c.
3
Let c(i) = -3*i**2. Suppose 0*x + 4*x + 8 = 0. Let y(v) = 3*v**2 + v. Let u(w) = x*c(w) - 3*y(w). Find the second derivative of u(z) wrt z.
-6
Let r(w) = 5*w**2 - 2. Let z(y) = -2*y**2 + 2 - 1 + 0*y**2. Let j(g) = 4*r(g) + 9*z(g). Find the first derivative of j(b) wrt b.
4*b
Let t(h) be the third derivative of -h**6/24 - 37*h**5/60 + 22*h**2. What is the third derivative of t(p) wrt p?
-30
Let f(v) be the second derivative of -3/20*v**5 + 0*v**2 + 0*v**4 + 2*v + v**3 + 0. Find the second derivative of f(w) wrt w.
-18*w
Let x(m) = -2*m**2 + 3 + m**2 + 7*m**2 + 1. Let p(k) = -3*k**2 - 2. Let j(o) = -11*p(o) - 6*x(o). Find the first derivative of j(s) wrt s.
-6*s
Let b(d) = d + 9. Let a(s) = 25. Let x(w) = 12. Let h(p) = 2*a(p) - 5*x(p). Let k(n) = 6*b(n) + 5*h(n). What is the first derivative of k(o) wrt o?
6
Suppose 5*n - 4*a = n, 5 = 2*n + 3*a. Let h = 1 + n. Find the third derivative of 4*d**6 - 6*d**6 - 2*d**2 + 4*d**h wrt d.
-240*d**3
Find the third derivative of -9*o**2 + 191*o**5 - 67*o**5 - 75*o**5 wrt o.
2940*o**2
Differentiate 9*c**3 - 25*c**3 - 10 + 12*c**3 wrt c.
-12*c**2
Let a(d) = 5*d**2 + 6*d - 1. Let z(u) = u**2 + u - 1. Let h(p) = -2*a(p) + 2*z(p). Find the second derivative of h(y) wrt y.
-16
Let v(g) = -25*g**2 + 8. Let b(f) = -50*f**2 + 17. Let l(d) = 6*b(d) - 11*v(d). Differentiate l(c) with respect to c.
-50*c
Let c(p) be the first derivative of p**6/3 + 3*p**4/4 - 2*p**2 - 21. Find the second derivative of c(l) wrt l.
40*l**3 + 18*l
Let n(s) = 9*s**3 - 2*s. Let h(k) = -8*k**3 + 2*k. Let o(f) = 5*h(f) + 4*n(f). Find the second derivative of o(p) wrt p.
-24*p
Let b(m) be the first derivative of 1/6*m**6 + 0*m**5 + 0*m + 0*m**4 + 4/3*m**3 - 5 + 0*m**2. Find the third derivative of b(g) wrt g.
60*g**2
Let j(x) = 17*x**4 - 3*x**3 + 24*x. Let p(d) = -34*d**4 + 7*d**3 - 48*d. Let a(i) = -7*j(i) - 3*p(i). What is the second derivative of a(l) wrt l?
-204*l**2
Suppose 13 = 5*c - 3*h, 5*c - h + 6*h - 45 = 0. Find the third derivative of -2*y**5 - y**5 + c*y**5 + 4*y**2 + 0*y**2 wrt y.
120*y**2
Let p(r) = 582 - 582 + 2*r**2. Let c(i) = -19*i**2 - 1. Suppose -2*a = a - 6. Let n(m) = a*c(m) + 18*p(m). Differentiate n(b) with respect to b.
-4*b
Let p be 13/(312/16)*(-30)/(-4). Let j(o) be the third derivative of 2*o**2 + 0*o - 1/20*o**p - 1/8*o**4 + 0*o**3 + 0. Find the second derivative of j(d) wrt d.
-6
Let k be (-2)/(-11) - (-140)/77. Suppose -2*h = -2*t - 2*t + 16, -16 = -4*t - 2*h. Find the first derivative of -t*x**k + 3 + 2*x**2 - 1 wrt x.
-4*x
What is the second derivative of 30*x**5 - 2*x**5 + 23*x - 13*x**5 wrt x?
300*x**3
Let x(h) be the first derivative of -4*h**7/7 + 2*h**3/3 - 9. Find the third derivative of x(s) wrt s.
-480*s**3
Find the first derivative of -30*a - 28 - 23*a + 31*a - 6*a wrt a.
-28
Let b be 34/(-8) + 1/4. Let n = b + 11. Differentiate 7*m - n*m - 2 + 2*m**3 with respect to m.
6*m**2
Let y(c) be the second derivative of c**8/3360 + c**5/120 + c**4/12 - 3*c. Let m(i) be the third derivative of y(i). What is the first derivative of m(w) wrt w?
6*w**2
Let t(y) be the second derivative of 0*y**3 + 0*y**2 - 1/7*y**8 + 0*y**6 + 1/3*y**4 + 0*y**7 + 0*y**5 + 0 - 7*y. What is the third derivative of t(j) wrt j?
-960*j**3
Let b be ((-1)/(-18))/((-24)/(-36)). Let a(r) be the third derivative of 1/6*r**3 - b*r**4 + 0*r - 3*r**2 + 0. Find the first derivative of a(k) wrt k.
-2
Let d be 6/(-18) - 14/(-6). What is the third derivative of 30*m**3 + 7*m**5 - 30*m**3 + 3*m**d wrt m?
420*m**2
Let c be (1/2)/((-2)/(-8)). Differentiate z**c + z**2 + z**2 - 1 with respect to z.
6*z
Let n(r) be the first derivative of -4*r**2 + 11*r + 9. Differentiate n(c) wrt c.
-8
Let p = 15 - 12. Let a(n) be the second derivative of -n**2 - n + 0 - 1/3*n**p. Find the first derivative of a(i) wrt i.
-2
Let b(w) = 3*w**3 + 4*w + 5. Let c(z) = 2*z**3 + 2*z + 3. Let y(r) = 6*b(r) - 10*c(r). Find the second derivative of y(q) wrt q.
-12*q
Let b = 8 - 2. What is the second derivative of 4*r**5 + 4*r**5 - r - b*r**5 - 2*r wrt r?
40*r**3
Let m(d) = -183*d**5 + d**2 + 11*d. Let s(z) = -46*z**5 + 3*z. Let n(t) = 2*m(t) - 9*s(t). Find the third derivative of n(q) wrt q.
2880*q**2
Let g(o) be the second derivative of -o**5/4 + o**4/6 - 7*o**2/2 - 4*o - 5. What is the derivative of g(q) wrt q?
-15*q**2 + 4*q
Let i(m) be the first derivative of -3*m**4/4 + 8*m - 9. What is the derivative of i(g) wrt g?
-9*g**2
Let t(s) be the second derivative of s**7/14 - s**4/4 - 4*s. Find the third derivative of t(z) wrt z.
180*z**2
Suppose 0 = -2*p, 0 = y + y - 2*p + 4. Let c be y*((-7)/2 + 2). What is the first derivative of 0 + 2 - 2*w**3 + 3*w**c wrt w?
3*w**2
Let v = -21 - -33. Suppose 4*y = y + v. What is the derivative of -y - 1 - 3*a + 2 wrt a?
-3
What is the second derivative of 0*s**5 + 3*s - 7*s + 3*s**5 wrt s?
60*s**3
Let s(a) be the second derivative of a**4/12 + 5*a**3/3 + 6*a**2 + a. Let m be s(-9). What is the second derivative of -x**3 + 2*x + 2*x**3 - m + 3 wrt x?
6*x
Let z(j) be the first derivative of -22*j**5/5 + 4*j**3/3 - 5. Find the third derivative of z(t) wrt t.
-528*t
Let s = -5 + 7. Find the third derivative of 3*t**s - 7*t**2 - t**5 + t**2 wrt t.
-60*t**2
Let q(n) be the first derivative of 0*n - 3/2*n**2 + 1 - 1/6*n**6 + 0*n**5