a**2
Let o(n) = -n**2 - 6*n - 1. Let p be o(-6). Let v = p + 3. What is the second derivative of -4*w**2 + w + w**v + w wrt w?
-6
Suppose -45 = -5*g + 5*d, -5*g + 5*d = -g - 39. Let n be g*(-4)/(-6) + -2. Find the second derivative of 2*r - 3*r + 0*r**n + r**4 + 0*r**2 wrt r.
12*r**2
What is the derivative of 112*w + 18 - 112*w + 36*w**2 wrt w?
72*w
Let g(i) = -5*i + 2 + 4*i - 2. Suppose -5*t - 4 + 14 = 0. Let u(h) = h**2 + 10*h. Let b(j) = t*u(j) + 18*g(j). What is the second derivative of b(k) wrt k?
4
Let n = 6 + -4. What is the third derivative of 3*w**5 - w**2 + 0*w**5 - w**5 - w**n wrt w?
120*w**2
Suppose 5*m + 4*k = 36, m = 5*k - k + 12. Let v = -6 + m. What is the second derivative of -6*u - 4*u**2 + u**v + 2*u wrt u?
-6
Let i(l) be the first derivative of 0*l**5 - 1/3*l**3 + 0*l + 2 + 0*l**2 + 1/6*l**6 + 0*l**4. Find the third derivative of i(w) wrt w.
60*w**2
Let h = 3 - 1. Suppose -h*w + 16 = 2*w. What is the third derivative of -6*z**6 - 2*z**2 + w*z**6 + z**6 wrt z?
-120*z**3
Let l(g) be the first derivative of -25*g**6/6 + 3*g**2/2 - 10. What is the second derivative of l(w) wrt w?
-500*w**3
Let g = -16 + 16. Let x(z) be the third derivative of -1/3*z**3 + 0*z**4 + g - 1/120*z**6 - 2*z**2 + 0*z**5 + 0*z. What is the derivative of x(y) wrt y?
-3*y**2
Let z(j) be the third derivative of 0*j - 1/24*j**4 + 2/3*j**3 + 0 + 4*j**2. Differentiate z(k) wrt k.
-1
Let j be (-16)/(-12)*6/4. Find the third derivative of 0*a**2 - j*a**2 + 0*a**2 + 5*a**4 + a**2 wrt a.
120*a
Differentiate 2 - 1 - 2 + 4 + 16*y**3 wrt y.
48*y**2
Let g(l) = -3*l**2 + 11*l + 5. Let z(j) = -2*j**2 + 6*j + 3. Let h(o) = 3*g(o) - 5*z(o). Let u be h(-3). Differentiate -2 + u*c + c + 3 wrt c.
1
Let p(y) be the second derivative of -13*y**7/21 - 7*y**3/3 - 19*y. What is the second derivative of p(z) wrt z?
-520*z**3
Suppose 0 = -4*x + 9 + 3. What is the third derivative of 0*p**3 - x*p**3 + 3*p**2 + 3*p**3 - 2*p**5 wrt p?
-120*p**2
Let w(q) = 39*q**2 - 53*q - 2. Let y(v) = v**2 + 1. Let g(f) = -w(f) - 2*y(f). Find the second derivative of g(d) wrt d.
-82
Let d(j) be the third derivative of 0*j**4 + 0 + 7/60*j**5 + 3*j**2 + 0*j - 1/40*j**6 + 0*j**3. Find the third derivative of d(v) wrt v.
-18
Let y(o) = o**2 + o + 1. Let q(f) = 3*f**2 + 3*f - 1. Let c(h) = q(h) - 5*y(h). Let z(x) be the first derivative of c(x). What is the derivative of z(p) wrt p?
-4
What is the third derivative of -5*i**6 + 157*i**4 + 8*i**2 - 157*i**4 wrt i?
-600*i**3
Let z(j) be the second derivative of -4*j**7/21 - 7*j**3/6 - 6*j. Find the second derivative of z(g) wrt g.
-160*g**3
Let a(y) be the first derivative of 0*y**2 + 0*y**4 + 4/3*y**3 + 1 + 0*y - 2/5*y**5. What is the third derivative of a(g) wrt g?
-48*g
Let b(a) = -12*a**3 - a**2 + 1. Let t be b(-1). Suppose -2*c = 2*k - 6*c, -4*k = -2*c - t. What is the derivative of -1 - 2*m**k - 2 + 2 wrt m?
-8*m**3
Let b(y) = -7*y**2 + y + 6. Let i(j) = 0*j**2 - 3*j + 12*j**2 - 17 + 8*j**2. Let d(v) = 17*b(v) + 6*i(v). Find the second derivative of d(f) wrt f.
2
Let a(z) be the second derivative of 13*z**7/42 + 19*z**3/6 + 2*z. Find the second derivative of a(u) wrt u.
260*u**3
Suppose 4*c + c - 30 = 0. Find the second derivative of -3*u + 3*u**4 - c*u**4 - 2*u**4 + 3*u**4 wrt u.
-24*u**2
Let n be (4/6)/((-40)/(-180)). What is the first derivative of 0*m**n + 3*m**3 + 8 + 3*m**3 wrt m?
18*m**2
Let l = 8 - 4. Suppose 4 + l = 4*s. Differentiate 2 + 3 - 2 + 3*m**s with respect to m.
6*m
Let n(k) = 3 + k**2 + 5*k + 2 - 3. Let o be n(-5). What is the second derivative of 0*c**2 - c**o - 2*c**2 - c wrt c?
-6
Let b(x) be the second derivative of x**8/420 + x**4/8 - x**3/6 + 4*x. Let s(v) be the second derivative of b(v). Differentiate s(n) with respect to n.
16*n**3
Let l(q) = -q**3 + q**2 - q + 2. Let p be l(0). Differentiate -13*y + 4*y**p - 1 - y**2 + 13*y with respect to y.
6*y
Let x(y) be the third derivative of 0*y + 0 + 1/2*y**3 - 1/12*y**4 - y**2. Differentiate x(g) with respect to g.
-2
Let s(v) be the second derivative of -19*v**7/42 + v**5/10 - v**4/6 + 23*v**3/6 - v + 17. What is the third derivative of s(z) wrt z?
-1140*z**2 + 12
Let u be 2/3 + (-4)/6. Let g = 9 + u. Find the third derivative of -3*j**2 + 2*j**4 + 9 + j**2 - g wrt j.
48*j
What is the third derivative of 6*v**6 - 6*v**6 + 6*v**6 + 3*v**2 wrt v?
720*v**3
Suppose 2*n - 7*n = -10. What is the third derivative of -7*l**6 + l**n + 2*l**6 + 0*l**2 wrt l?
-600*l**3
Let z(c) be the second derivative of -5*c**7/42 + c**3/6 - 17*c. Find the second derivative of z(w) wrt w.
-100*w**3
Let s(x) = -x**2 + 6*x + 4. Let l be s(6). Differentiate 0*y**l + 2*y**4 + 3*y**4 - 5 with respect to y.
20*y**3
Let s(i) = -10*i**3 - 6*i - 7. Let w(c) be the first derivative of -c**4/4 - c**2/2 - c - 5. Let v(g) = s(g) - 6*w(g). Find the first derivative of v(z) wrt z.
-12*z**2
Let a(j) be the second derivative of -j**6/2 + 3*j**2/2 + 2*j. Find the first derivative of a(s) wrt s.
-60*s**3
Let t(z) = z. Let k(j) = 5*j**2 - 8*j + 4. Let g(c) = c. Let v(s) = -4*g(s) - k(s). Let f(p) = 4*t(p) - v(p). What is the first derivative of f(w) wrt w?
10*w
Differentiate -4 + 614*o**3 - 615*o**3 - 7 wrt o.
-3*o**2
Let q(n) be the second derivative of n**7/21 - n**4/2 + 7*n. Find the third derivative of q(w) wrt w.
120*w**2
Let z = -6 + 15. Suppose 0 = -4*n + z + 3. What is the derivative of -s**3 + n*s**4 + s**3 + 1 wrt s?
12*s**3
Let r(l) = -l**4 - l**2. Let h(g) = -33*g**4 + g**2 - 31*g. Let b(a) = h(a) + r(a). What is the second derivative of b(m) wrt m?
-408*m**2
Let t(n) be the first derivative of 4*n**3/3 + n**2 - 3*n + 2. Let l(w) = 4*w**2 + 3*w - 3. Let q(k) = 2*l(k) - 3*t(k). Find the first derivative of q(s) wrt s.
-8*s
Suppose b - 5 + 2 = 0. What is the first derivative of -b + 0*o + 1 + 2*o - o wrt o?
1
Let c(n) = -7 + 3 - 2*n + 0*n. Let y be c(-4). What is the second derivative of 3*a**2 - y*a**2 - a**2 - 2*a wrt a?
-4
Let y(q) be the third derivative of 0*q**6 - 4*q**2 + 1/30*q**5 + 0 + 0*q**4 + 1/105*q**7 + 0*q + 0*q**3. Find the third derivative of y(u) wrt u.
48*u
Suppose 3*z - 8*z + 20 = 0. Let d(x) be the first derivative of -3/5*x**5 + 0*x**2 - 1 + x**3 + 0*x + 0*x**z. Find the third derivative of d(g) wrt g.
-72*g
Let u(t) be the third derivative of t**8/560 + t**6/180 + t**3/6 + t**2. Let c(z) be the first derivative of u(z). What is the third derivative of c(p) wrt p?
72*p
Let r(z) be the third derivative of -z**7/210 + 17*z**4/24 - 16*z**2. What is the second derivative of r(y) wrt y?
-12*y**2
Let u(h) = -h**4 + h**3 + h**2 + h. Let l(z) = -z**5 - 9*z**4 + 9*z**3 + 10*z**2 + 9*z. Let q(d) = 4*l(d) - 36*u(d). Find the third derivative of q(k) wrt k.
-240*k**2
Suppose 6*z - 2*z = 0. Let l(o) be the third derivative of 0*o + 1/20*o**5 + 0 + z*o**3 + 1/12*o**4 + 2*o**2. What is the second derivative of l(q) wrt q?
6
Differentiate 5*p**3 - 11 - 22 + 12*p**3 + 9*p**3 wrt p.
78*p**2
Let u = 445/6 - 74. Let g(j) be the second derivative of -2*j - 1/3*j**3 + 0*j**2 - u*j**4 + 0. Find the second derivative of g(z) wrt z.
-4
Find the third derivative of 456*q**6 - 39*q**2 + q**3 + 0*q**3 - 455*q**6 wrt q.
120*q**3 + 6
Let j(d) be the first derivative of -d**4/24 - d**3/6 + 2*d**2 - 3. Let n(k) be the second derivative of j(k). Find the first derivative of n(l) wrt l.
-1
Let m(o) = o**4 - o**3 + o**2 + o - 1. Let a(g) = g**4 + 3*g**3 - 8*g**2 - 3*g + 3. Let b(c) = a(c) + 3*m(c). What is the third derivative of b(d) wrt d?
96*d
Let p(w) be the first derivative of -1/3*w**3 + 0*w**2 - 4*w + 1. Differentiate p(i) with respect to i.
-2*i
Let x(r) be the second derivative of 0 + 0*r**2 + 0*r**6 + 7/6*r**3 + 0*r**4 + 7*r + 0*r**5 - 1/21*r**7. Find the second derivative of x(a) wrt a.
-40*a**3
Let y(n) be the third derivative of n**7/630 + n**6/240 + n**4/24 + 2*n**2. Let f(v) be the second derivative of y(v). Find the second derivative of f(t) wrt t.
8
Let g(b) be the first derivative of 3*b**6/2 + 3*b**2 + 13. Find the second derivative of g(l) wrt l.
180*l**3
Let j(p) be the first derivative of p**5 - 10*p**3/3 + 4. Find the third derivative of j(x) wrt x.
120*x
Suppose 4*q = -5*r + 15, 3*q + 3*r - r - 6 = 0. Find the third derivative of m**3 + 7*m**2 + q*m**3 - 4*m**2 wrt m.
6
Let q(h) = -16*h**2 + 14. Let