2*u**2
Let x(a) = -a**2 + 6*a + 5. Let p be x(6). What is the third derivative of u**p + 2*u**5 - 2*u**2 + 0*u**2 wrt u?
180*u**2
Find the second derivative of -56*h**4 + 10*h + 16*h**4 + 16*h + 16*h wrt h.
-480*h**2
Let p(n) = -3*n**2 - 4*n + 3. Let k(d) = 6*d + 18*d**2 - 15 + 11*d + 4*d - 3*d**2. Let l(a) = -4*k(a) - 21*p(a). Differentiate l(r) with respect to r.
6*r
Let s(v) = 21*v**4 + 16*v + 4. Let g(l) = -l**4 - 1. Let d(u) = -4*g(u) - s(u). What is the second derivative of d(j) wrt j?
-204*j**2
Suppose 0*p = p. Let l(a) be the second derivative of a + 1/15*a**6 + 0*a**4 + 0 + p*a**2 + 1/3*a**3 + 0*a**5. What is the second derivative of l(c) wrt c?
24*c**2
Let w(n) = -206*n**3 + 94*n**2 - 11*n + 11. Let b(a) = -41*a**3 + 19*a**2 - 2*a + 2. Let s(z) = 11*b(z) - 2*w(z). What is the third derivative of s(r) wrt r?
-234
Let i(h) be the third derivative of -h**9/504 + 3*h**6/40 + h**5/5 - 14*h**2. Find the third derivative of i(b) wrt b.
-120*b**3 + 54
Let r(a) be the third derivative of -a**10/5040 + a**6/120 + a**3/6 + 2*a**2. Let f(n) be the first derivative of r(n). Find the third derivative of f(i) wrt i.
-120*i**3
Let k(v) = -v + 1. Let d(j) = 3*j**4 + j - 10. Let h = 26 - 27. Let w(f) = h*d(f) - k(f). Differentiate w(y) with respect to y.
-12*y**3
Suppose -4*t - 2 = -f - 18, 2*t + 4*f = 26. What is the third derivative of -9*u**2 - 5*u**5 + 8*u**6 - u**6 + 5*u**t wrt u?
840*u**3
Let f(u) be the third derivative of u**8/2240 - u**6/90 + u**4/4 - u**2. Let o(z) be the second derivative of f(z). What is the second derivative of o(p) wrt p?
18*p
What is the third derivative of o**4 - 4*o**2 - 2*o**4 - 7*o**4 - 11*o**4 wrt o?
-456*o
Let i(h) be the first derivative of 0*h**5 + 0*h**2 + 1 + 0*h + 2/3*h**3 + 0*h**4 - h**6. Find the third derivative of i(r) wrt r.
-360*r**2
Let b be 5 + 0 + -1*2. Let w(f) be the second derivative of 0 + 2*f + 0*f**2 + 1/12*f**4 + 1/6*f**b. What is the second derivative of w(x) wrt x?
2
Find the second derivative of 28*x - 38*x + 2*x**2 - x**2 wrt x.
2
Let w(h) be the third derivative of -h**7/105 - h**3 + 4*h**2. Find the first derivative of w(n) wrt n.
-8*n**3
Suppose 3*y - 4*y = 0. What is the second derivative of -3 + 3 - 2*h + y + h**4 wrt h?
12*h**2
Suppose 3*q - 17 = w, -q + 1 = w - 6. Suppose 0 = 3*y - 5*y + 3*n + 16, n - 4 = -4*y. Find the third derivative of k**q - 2*k**y + k**6 - k**6 wrt k.
120*k**3
Let j(q) be the third derivative of 2*q**7/105 + q**3/6 + 2*q**2. Differentiate j(s) wrt s.
16*s**3
Suppose -3 = -2*f + 5. Differentiate f + 4*x**2 - 2 + 2 wrt x.
8*x
Let d(y) = y**4 + 6*y**3 - 2*y**2 + 6*y - 6. Let t(c) = c**4 + 5*c**3 - 3*c**2 + 5*c - 5. Let n(m) = -5*d(m) + 6*t(m). Find the third derivative of n(x) wrt x.
24*x
Let a = 7 + -5. Let h(t) be the first derivative of -a*t - 1 - 2*t**2 + 0 - t + 3*t**2. Differentiate h(d) with respect to d.
2
Let t(l) be the second derivative of -2*l**2 + 0 - 1/12*l**4 + 0*l**3 + 3*l. Differentiate t(k) with respect to k.
-2*k
Let v(b) be the second derivative of 3*b**4/2 - 17*b**2/2 - b. What is the derivative of v(c) wrt c?
36*c
Differentiate i**4 + 11 + 8 + 3*i**4 with respect to i.
16*i**3
Let s(j) be the first derivative of 3/5*j**5 + 0*j + j**3 + 0*j**2 - 1 + 0*j**4. Find the third derivative of s(w) wrt w.
72*w
Let j(l) = -l**3 - l**2. Let n(y) = 6*y**2 + 7*y. Let d(r) = 6*j(r) + n(r). Find the second derivative of d(c) wrt c.
-36*c
Suppose 4*m = 4 + 8. Differentiate a + 4*a + 4 - m*a with respect to a.
2
Find the third derivative of -11*s**2 + 0*s**3 + 49*s**2 - 17*s**3 wrt s.
-102
Let a(o) = o**3 - 7*o + 6 + o**2 + 5*o**2 + 0*o. Let f be a(-7). What is the third derivative of 6*q - f*q + 3*q**2 - 2*q**4 wrt q?
-48*q
Let f(d) be the second derivative of 0*d**5 + 0*d**6 - 1/14*d**7 - 1/2*d**3 - 4*d + 0*d**2 + 0*d**4 + 0. Find the second derivative of f(q) wrt q.
-60*q**3
Let i(z) be the third derivative of 0 + 0*z - 1/15*z**5 - 1/8*z**4 + 0*z**3 - z**2. Find the second derivative of i(j) wrt j.
-8
Let n(d) be the second derivative of d**7/420 - d**4/8 - d**3/6 + d. Let v(s) be the second derivative of n(s). Find the first derivative of v(t) wrt t.
6*t**2
Let k be (-2)/5 - 84/(-35). Differentiate 2*p**2 - 7 + k + p**2 + 3 with respect to p.
6*p
Suppose -v = -0 - 3. Differentiate x - 2*x - 1 - v*x + x with respect to x.
-3
Suppose -6 + 28 = -u + 5*r, 5*r - 10 = 5*u. What is the first derivative of 5*p + 5*p + u - 4 - 7*p wrt p?
3
Let h(j) be the second derivative of j**6/36 + j**4/6 + 5*j**3/3 - 9*j. Let n(t) be the second derivative of h(t). Find the first derivative of n(z) wrt z.
20*z
Let o(q) = -q**2 + 6*q - 2. Let s be o(5). Let a = -5 + 8. Differentiate -3 + s*x**2 + a*x - 3*x wrt x.
6*x
Suppose 0 = 4*j + j - 20. Suppose -11 + 3 = 2*y + 5*c, j*y - 40 = 4*c. What is the third derivative of -x**3 + 2*x**2 + 0*x**3 + 4*x**3 - y*x**3 wrt x?
-18
Let a(w) be the first derivative of 3*w**3 - 29*w + 24. What is the derivative of a(d) wrt d?
18*d
Let z(v) be the second derivative of v**6/72 - v**5/60 + v**3/3 + 7*v. Let o(t) be the second derivative of z(t). Find the second derivative of o(p) wrt p.
10
Suppose -3*y + 24 - 1 = -f, -f - 11 = -y. Let h be y/12 + 5/2. Find the second derivative of j**3 - j**3 + 2*j**3 - h*j wrt j.
12*j
Let d(w) = 17*w**3 - 6*w**2 - 6*w - 15. Let a(t) = -16*t**3 + 7*t**2 + 7*t + 16. Let k(c) = 6*a(c) + 7*d(c). Find the first derivative of k(b) wrt b.
69*b**2
Let j be ((-2)/6)/(2/(-12)). What is the first derivative of 8*l - 2*l - j*l + 4 wrt l?
4
Find the first derivative of -7 + 6 + 22*j**3 + 4 wrt j.
66*j**2
Let q = 17 - 15. Suppose -5*n = -0*f + 4*f + 17, 2*n = -5*f. Find the second derivative of -4*u - f*u**2 + 2*u**q + 4*u**3 wrt u.
24*u
Let s(t) = -50*t**3 - 11*t**2 - 63*t. Let y(d) = -17*d**3 - 4*d**2 - 21*d. Let h(p) = 4*s(p) - 11*y(p). What is the second derivative of h(m) wrt m?
-78*m
Suppose 4*a + 0 - 25 = -o, 3*o - a = 10. Find the third derivative of -4*v**5 + 3*v**2 - 2*v**2 - 4*v**o + 10*v**5 wrt v.
120*v**2
Let z(w) = -12*w**3 - 2*w**2 + 19*w - 5. Let b(t) = 6*t**3 + t**2 - 10*t + 2. Let q(y) = 5*b(y) + 2*z(y). Find the second derivative of q(l) wrt l.
36*l + 2
Suppose 0 = -7*j + j. Let q(u) be the second derivative of j + u + 0*u**3 + 1/12*u**4 + u**2. Differentiate q(g) wrt g.
2*g
Let q(a) = -3*a**5 - 2*a**2 - 2*a. Let p(r) = -6*r**5 - 4*r**2 - 5*r. Let z = -1 - 4. Let x(j) = z*q(j) + 2*p(j). Find the third derivative of x(i) wrt i.
180*i**2
Let d(a) = -6*a**2 + 7*a - 4. Let m(p) = -6*p**2 + 7*p - 3. Let i(y) = -3*d(y) + 4*m(y). Find the second derivative of i(n) wrt n.
-12
Let n(b) be the second derivative of -27*b**8/56 - b**4 - 11*b. What is the third derivative of n(t) wrt t?
-3240*t**3
Let f(a) = -4*a**2 + 5*a + 8. Let y(q) = 5*q**2 - 6*q - 8. Let o(m) = -6*f(m) - 5*y(m). What is the derivative of o(u) wrt u?
-2*u
What is the second derivative of 3*m - 41*m**5 - m + 23*m**5 + 3*m wrt m?
-360*m**3
Let q(t) = t + 2. Let k be q(0). What is the third derivative of 3*n**k + 2*n**2 - n**2 + n**3 wrt n?
6
Suppose 5 = 2*q - a - 2, q + 5*a + 2 = 0. What is the second derivative of 3*i + 0*i**2 - i + q*i**2 wrt i?
6
Suppose 5*g = 2*c + 31, -3*g + 2*c + 23 - 2 = 0. Let l(p) = -g + 0 + 1 + 4*p + 0. Let q(m) = m - 1. Let h(w) = -5*l(w) + 16*q(w). Differentiate h(i) wrt i.
-4
Let x(m) be the first derivative of 0*m**2 + 6*m + 1/3*m**3 - 5. Find the first derivative of x(t) wrt t.
2*t
Suppose -3*y - 9 = 0, -2*y + 5*y = -2*m + 3. Suppose 0 = g - 6 - 1. Differentiate -g*z + 3 - z + m*z wrt z.
-2
What is the first derivative of -52*g - 43 + 3*g - 9*g wrt g?
-58
Let s(r) be the first derivative of -8*r**5/5 + 6*r + 2. Find the first derivative of s(i) wrt i.
-32*i**3
Let w(l) be the first derivative of l**9/1512 - l**5/60 - l**3/3 + 2. Let g(m) be the third derivative of w(m). Find the second derivative of g(v) wrt v.
40*v**3
Let l(c) = -c**3 - 2*c**2 + 3*c - 2. Let w be l(-3). Let h be 0/(w + -2 + 3). Differentiate h*x - 5 + x - x + 3*x**3 wrt x.
9*x**2
Let p(f) be the second derivative of -7*f**6/15 - 2*f**4/3 + 20*f. What is the third derivative of p(z) wrt z?
-336*z
Let a(v) be the second derivative of v**8/1680 - v**4/12 - v**3/2 + v. Let h(q) be the second derivative of a(q). Differentiate h(k) with respect to k.