- -2. Find the second derivative of y**5 - y + 3*y + b*y**5 - y wrt y.
60*y**3
Suppose -2*r + 5*p = 9, 3*p - 24 = -5*r - 0*p. Find the third derivative of -8*a**r + 6*a**2 + 8*a**3 - 2*a**4 - 4*a**4 wrt a.
-144*a
Suppose 0 = 7*h - 12*h + 15. Let y(i) be the second derivative of -1/6*i**h + 2*i - 3/2*i**2 + 0. What is the first derivative of y(t) wrt t?
-1
Suppose 0 = -d + 3*r - 12, 5*r = 6 + 14. Differentiate -4 - 9*h**4 + d + 5*h**4 with respect to h.
-16*h**3
Let j = 11 + -8. Suppose 4*b + 9 + 11 = 2*o, 3*b + 4 = -4*o. Differentiate -j + y**3 + o + 2 wrt y.
3*y**2
Let m(h) = h**2 - h. Let k(a) = 6*a**3 + 3*a**2 - 7*a. Suppose -5 = 7*o - 2*o. Let n(b) = o*k(b) + 3*m(b). What is the second derivative of n(p) wrt p?
-36*p
What is the second derivative of u**3 + 8*u - 354*u**2 - 21*u**5 + 354*u**2 wrt u?
-420*u**3 + 6*u
Let r(b) be the third derivative of 0*b**3 - 1/10*b**5 + 0*b**4 + 4*b**2 + 0 + 0*b + 0*b**6 - 1/35*b**7. Find the third derivative of r(o) wrt o.
-144*o
Let g(d) be the first derivative of 2*d**6 - d**2/2 + 11. Find the second derivative of g(q) wrt q.
240*q**3
Let t = 13 + -11. What is the second derivative of 3*b + 4*b**2 - 4*b**t + b**3 wrt b?
6*b
Differentiate 2*d**2 + 0 - 6 - 1 - 19*d**2 with respect to d.
-34*d
Let u(w) = 35*w**2 - 7*w. Let t(z) = -69*z**2 + 13*z. Let o(y) = -6*t(y) - 11*u(y). What is the second derivative of o(j) wrt j?
58
Let o(r) be the first derivative of r**7/280 + r**6/180 + 2*r**3 - 3. Let l(k) be the third derivative of o(k). What is the third derivative of l(d) wrt d?
18
Let o(m) = -37*m**2 + m - 35. Let s(t) = t**2 - t. Let l(k) = -o(k) - s(k). Differentiate l(x) with respect to x.
72*x
Let z = 8 + -5. Differentiate 3 - 5*u**4 + 0*u**4 + z*u**4 with respect to u.
-8*u**3
Let g(r) be the first derivative of -r**5/20 + r**3/6 - 2*r + 3. Let o(w) be the first derivative of g(w). What is the second derivative of o(n) wrt n?
-6*n
Let r be 2/(-7) + 153/21. Find the second derivative of 4*o**4 + 2*o + 0*o - 7 + r wrt o.
48*o**2
Let j(c) be the third derivative of -23*c**5/60 + 7*c**3/6 + 9*c**2. Differentiate j(k) with respect to k.
-46*k
What is the second derivative of -34*o**4 - 13*o + 4*o**4 - 5*o**4 wrt o?
-420*o**2
Let v(y) = 4*y**3 + 4*y**2 - 24*y - 4. Let r(k) = -k**4 + 3*k**3 + 3*k**2 - 23*k - 3. Let l(s) = 4*r(s) - 3*v(s). What is the second derivative of l(a) wrt a?
-48*a**2
Let p(o) = 3*o**2 - 5*o**2 + 1 + o**2 - o. Let w be (3/9)/((-2)/(-18)). Let k(t) = -t**2 + 3*t + 2. Let q(r) = w*p(r) + k(r). Differentiate q(g) wrt g.
-8*g
Let v(y) be the first derivative of -4*y**6/3 - 6*y**2 + 3. What is the second derivative of v(o) wrt o?
-160*o**3
Let u(w) be the third derivative of -w**5/10 + w**3/3 - 6*w**2. Differentiate u(x) with respect to x.
-12*x
Let i(w) be the second derivative of -13*w**5/20 + 7*w**3/6 - 15*w. Find the second derivative of i(t) wrt t.
-78*t
Let a(k) be the first derivative of -3*k**5/20 - 11*k**2/2 + 3*k - 2. Let g(o) be the first derivative of a(o). What is the derivative of g(p) wrt p?
-9*p**2
Let o(g) = -14*g**4 + 3*g**3 - 18*g. Let u(b) = 56*b**4 - 13*b**3 + 73*b. Let v(a) = -26*o(a) - 6*u(a). What is the second derivative of v(f) wrt f?
336*f**2
Let h = -50 - -87. Suppose 131 = 4*z - h. What is the second derivative of -3*y**5 + 4*y - 42*y**2 + z*y**2 wrt y?
-60*y**3
Let f(t) = t + 1. Let y be f(2). Find the second derivative of -5*m + 0 + 0 + y*m**4 + 4*m wrt m.
36*m**2
Let n(o) be the first derivative of -19*o**7/7 + 13*o**3/3 + 1. Find the third derivative of n(x) wrt x.
-2280*x**3
Let c = 3 - -3. Suppose 5*f + 12 = 4*r + 38, -r = -f + c. What is the second derivative of -l**2 - l**2 + 2*l + l**f wrt l?
-2
What is the third derivative of -18*l**2 + 62*l**6 - 120*l**6 + 62*l**6 - l**3 wrt l?
480*l**3 - 6
Let r(i) = -i**3 - 13*i**2 - 13*i - 6. Let j be r(-12). Find the second derivative of j*o**3 - 6*o**3 - 4*o**5 + 0*o**5 - 3*o wrt o.
-80*o**3
Let v(x) = -x**3 + 3*x**2 + 5*x - 2. Let z be v(4). What is the first derivative of -z*t + 2*t - 1 + 2 - t**2 wrt t?
-2*t
Let x(i) be the third derivative of i**4/3 + 3*i**3/2 + 3*i**2. What is the derivative of x(d) wrt d?
8
Let k(a) be the first derivative of -10*a**4 + 23*a**3/3 + 33. What is the third derivative of k(g) wrt g?
-240
Let t(p) be the first derivative of -p**4/4 - 2*p**3/3 + 22. What is the third derivative of t(g) wrt g?
-6
Let k(o) be the second derivative of -o**5/20 - o**4/6 + 4*o. What is the third derivative of k(p) wrt p?
-6
Let g = 34 - 17. Suppose -2*x + 2*o = -14, 6 = 2*x - 5*o - g. Find the second derivative of -6*m**3 + 3*m**3 - 3*m**x + 3*m**3 + 3*m wrt m.
-36*m**2
Let h(v) be the second derivative of 2*v**6/15 + 9*v**2/2 - 2*v. Differentiate h(i) with respect to i.
16*i**3
Let a(u) be the second derivative of 23*u**5/20 + u**3/3 + 20*u. Find the second derivative of a(j) wrt j.
138*j
Suppose 0 = -5*x + l + 3, 9 - 2 = 5*x + l. Find the first derivative of 2 + 2*w - 2 - x + 0*w wrt w.
2
Suppose 2*m - 4 + 0 = 3*j, 3*m = 3*j + 9. What is the second derivative of 8*w**2 + 6*w**j - 4*w**2 + 10*w + 0*w wrt w?
20
Let l(x) be the first derivative of x**5 + 6*x - 8. Differentiate l(v) wrt v.
20*v**3
Let k(s) be the first derivative of s**3/2 + 3*s**2/2 - s + 3. Let r(m) be the first derivative of k(m). What is the first derivative of r(a) wrt a?
3
Let l(t) = t - 6. Let q be l(10). What is the third derivative of q*b - 3*b**3 + 2*b**2 + 0*b - 4*b wrt b?
-18
Let z(c) = 73*c**4 - 5*c**3 + 62*c - 5. Let n(o) = 36*o**4 - 2*o**3 + 31*o - 2. Let b(y) = 5*n(y) - 2*z(y). What is the second derivative of b(r) wrt r?
408*r**2
Let q be 2/(-7) - 111/(-21). Find the third derivative of 0*x**q - 5*x**2 + x**5 - 2*x**5 wrt x.
-60*x**2
Let t(l) = -21*l**5 + 3*l**2 + 14*l + 3. Let w(q) = -42*q**5 + 5*q**2 + 27*q + 5. Let x(d) = -5*t(d) + 3*w(d). Find the second derivative of x(o) wrt o.
-420*o**3
Let o(b) = -b - 1. Let w(u) = 6*u**2 - 4*u - 2. Let g(y) = 4*o(y) - w(y). Find the first derivative of g(p) wrt p.
-12*p
Let a(g) = g**3 + 7*g**2 - g - 1. Let n be a(-7). Find the third derivative of 0*h**n + 3*h - 3*h + 4*h**2 + h**6 wrt h.
120*h**3
Let b(i) be the second derivative of -3*i**8/56 - i**4/3 - 6*i. What is the third derivative of b(n) wrt n?
-360*n**3
Let i(f) be the third derivative of f**5/20 + 2*f**3/3 - 5*f**2. Differentiate i(c) wrt c.
6*c
Let i(z) = z**4 - 1. Let j be 10/(-2) + 8/4. Let p = 0 - j. Let f(w) = -w**4 + 1. Let l(m) = p*i(m) + 6*f(m). Find the first derivative of l(q) wrt q.
-12*q**3
What is the first derivative of -9 + 20 - 15 + 47 + 42*j wrt j?
42
Let u(w) = 20*w**4 - 11*w**3 + 11*w**2 - 16. Let t(c) = -5*c**4 + 3*c**3 - 3*c**2 + 4. Let h(r) = 22*t(r) + 6*u(r). Differentiate h(x) wrt x.
40*x**3
What is the second derivative of -2*x**2 + 2*x + 10*x - 13*x**2 + 3*x**2 wrt x?
-24
Let l(c) = -c**4 - c**3 - c**2 - c. Let x(s) = 29*s**4 + 5*s**3 + 5*s**2 + 31*s. Let r(v) = 5*l(v) + x(v). What is the second derivative of r(i) wrt i?
288*i**2
Find the third derivative of 4*c**2 + 0*c + 0*c + 0*c + 6*c**4 wrt c.
144*c
Suppose 0 - 1 = b. Let p be 3 + 0/(b - -3). Differentiate -1 - p*u**2 - 2 + 2*u**2 with respect to u.
-2*u
Suppose 0 = -4*d - l + 15, -d - 4*l - 45 = -6*d. Find the third derivative of 3*g**d - g**2 - 13 + 13 wrt g.
180*g**2
Suppose -2*d + 2*i + 4 = 3*i, 5*d - 2*i = -8. Let g(f) be the third derivative of d + 1/6*f**3 + 0*f**4 - 2*f**2 + 1/60*f**5 + 0*f. Differentiate g(v) wrt v.
2*v
Let o(d) be the first derivative of d**8/1680 + d**5/30 - 2*d**3/3 + 4. Let b(h) be the third derivative of o(h). What is the second derivative of b(n) wrt n?
12*n**2
Let j(p) be the second derivative of -p**8/840 - p**6/72 - 5*p**3/6 - 6*p. Let a(w) be the second derivative of j(w). Find the third derivative of a(b) wrt b.
-48*b
Let s(p) be the first derivative of -32*p**3/3 + 18*p**2 - 36. What is the second derivative of s(v) wrt v?
-64
What is the second derivative of l**2 + 2*l**2 + 5*l - 4*l**2 - 3*l**2 wrt l?
-8
Let g(p) be the first derivative of -2*p**2 - 2/3*p**3 + 4*p + 1. Let w(o) be the first derivative of g(o). Differentiate w(r) wrt r.
-4
Let z(b) = b**4 - 5*b**2 - 5*b + 4. Let y(h) = -2 - 4 + 2*h + 6*h - h**4 + 8*h**2. Let u(q) = 5*y(q) + 8*z(q). What is the first derivative of u(w) wrt w?
12