v**2 + 3*v**4 wrt v.
48*v
Let h(k) be the first derivative of k**5 + 5*k + 9. Find the first derivative of h(p) wrt p.
20*p**3
Suppose 0 = 5*i - 3*j - 25, -3*i + i + 29 = -5*j. Find the third derivative of -5*q**2 + 8*q**4 + 0*q**2 + q**i + 0*q**2 wrt q.
192*q
Let g(x) be the second derivative of -x**6/90 + x**4/12 + x**3/2 - 5*x. Let a(j) be the second derivative of g(j). Differentiate a(y) wrt y.
-8*y
Let v(z) be the third derivative of -3*z**6/40 - z**4/6 + 8*z**2. What is the second derivative of v(p) wrt p?
-54*p
Let w(u) = 46*u**2 - 6*u - 14. Let r(z) = -z - 1. Let f(x) = -4*r(x) + w(x). What is the second derivative of f(o) wrt o?
92
Let n(w) be the second derivative of 5*w**9/3024 - w**5/24 - w**3 - 3*w. Let d(a) be the second derivative of n(a). Find the second derivative of d(v) wrt v.
100*v**3
Suppose 4*j - 3*x = 13, 0 = -2*j - 2*x - x + 11. Differentiate -j*a**2 - 3 - 2*a**4 - 1 + 4*a**2 wrt a.
-8*a**3
Let h(t) be the second derivative of 0*t**5 + 0 + 1/6*t**4 + 0*t**6 + 3/14*t**7 + 9*t + 0*t**2 + 0*t**3. Find the third derivative of h(n) wrt n.
540*n**2
Let t be (-3 - -4 - 0) + 1. Find the second derivative of v**2 - v + 2*v - v + t*v wrt v.
2
Let h(r) be the second derivative of 1/10*r**6 + 2*r**2 - 4*r + 0 + 0*r**5 + 0*r**4 + 0*r**3. Find the first derivative of h(k) wrt k.
12*k**3
Let v(i) = -i**3 + 6 + 7*i**2 + 8*i**3 - i**3. Let y(s) = 4*s**3 + 5*s**2 + 4. Let w(l) = 5*v(l) - 7*y(l). Differentiate w(u) wrt u.
6*u**2
Suppose -8 = -5*f + f. Let x = -23 - -26. What is the third derivative of -n**4 - 2*n**f - x + 3 wrt n?
-24*n
Let d = -12 - -20. Suppose -d = -5*f + f. Differentiate 2*v**4 + v**4 + 2 - f*v**4 wrt v.
4*v**3
Let k(s) = s**6 + 9*s**4 + 38*s**2. Let u(r) = -r**6 - 4*r**4 - 19*r**2. Let m(j) = -4*k(j) - 9*u(j). Find the third derivative of m(c) wrt c.
600*c**3
What is the second derivative of -l**2 + 15*l**5 - 14*l**5 - l + l**2 wrt l?
20*l**3
What is the third derivative of -22 + 7*w**2 + 22 + 12*w**5 wrt w?
720*w**2
Let v(a) be the third derivative of -a**6/60 - a**3/6 - 2*a**2. Differentiate v(g) with respect to g.
-6*g**2
Let u(k) be the second derivative of -10*k + 1/15*k**6 + 0 + 0*k**2 - 1/3*k**3 + 0*k**4 + 0*k**5. Find the second derivative of u(s) wrt s.
24*s**2
Suppose 3*s - 15 + 12 = 0. Let g(c) be the first derivative of -s + 0*c + 1/3*c**3 - 2*c**2. What is the second derivative of g(p) wrt p?
2
Let p(l) = -4*l - 2. Let i(w) = -5*w - 3. Let j(o) = 3*i(o) - 4*p(o). Let s(t) = -1. Let f(r) = -2*j(r) + 3*s(r). Differentiate f(a) wrt a.
-2
What is the second derivative of -a**5 + 35*a - 2*a**5 - 25*a wrt a?
-60*a**3
Let l be (-1)/((-9)/6 + 2). Let v(h) = -h. Let g be v(l). Find the third derivative of 0 - 2*k**g + 0 - 2*k**6 + 3*k**2 wrt k.
-240*k**3
Let j be (-3)/9 + (-20)/(-6). Let l = 3 - 1. Find the third derivative of -l - 2*a**2 - 2*a**j + 2 wrt a.
-12
Let u(z) = z**5 + z**3 + z + 1. Let i(n) = -11*n**5 - 6*n**3 + 2*n**2 - 6*n - 6. Let d(k) = i(k) + 6*u(k). What is the third derivative of d(x) wrt x?
-300*x**2
Let l(z) = -z**2 - 4*z + 3. Let k be l(-4). Suppose -d + y = -2*d + 7, -4*d + 23 = k*y. What is the second derivative of 3*t - 2*t + 0*t**d + 2*t**2 wrt t?
4
Let s be (1*(2 - 5))/(-1). Differentiate g + g - 5*g + s wrt g.
-3
Suppose -h = g - 3, 5*g - 5*h - 14 = 11. Let r(w) = -w + 11. Let s be r(5). What is the third derivative of 6*b**4 - s*b**g - b**6 - 2*b**2 wrt b?
-120*b**3
Let d(f) be the third derivative of f**7/210 + 17*f**5/60 - f**4 + 7*f**2 + 2*f. What is the second derivative of d(o) wrt o?
12*o**2 + 34
Suppose 2*a + 2 = 6. What is the second derivative of 4*g**a - g + 4*g - 3*g - 4*g wrt g?
8
Let v = 5 + -3. Find the first derivative of -2 + 4 - 2 - v*s**4 - 4 wrt s.
-8*s**3
Let q = 2 - -1. What is the third derivative of 3*w**3 - q*w**2 - 5*w**3 - 2*w**3 wrt w?
-24
Let p = 15 + -21. Let n = -3 - p. Differentiate 3*q**3 - 2 + n + 0 wrt q.
9*q**2
Let c(m) = 7 - m + 5*m + 2*m - 5*m**2. Let i = -31 - -20. Let a(s) = -9*s**2 + 11*s + 13. Let l(n) = i*c(n) + 6*a(n). Differentiate l(j) with respect to j.
2*j
Suppose 4*k - 2*f - 2*f = 0, -2*f = -6. Find the second derivative of -3*y - 4*y**3 + y**k - 3*y**3 + 2*y wrt y.
-36*y
Let p(l) be the third derivative of -l**8/21 + l**5/10 + 22*l**2. What is the third derivative of p(c) wrt c?
-960*c**2
Let t(f) be the second derivative of 0*f**2 + 0*f**6 + 9*f + 0*f**5 + 0 + 0*f**3 - 4/21*f**7 - 1/4*f**4. Find the third derivative of t(i) wrt i.
-480*i**2
Let z be 1/((-1)/6*-3). Let o be -2*3/6*-2. Find the third derivative of -w**3 + 2*w**3 - 2*w**3 + 4*w**z - 3*w**o wrt w.
-6
Let y(m) = -m**2 + 3*m + 2. Suppose 0 = -4*o + 12, 3*o = 5*v - 0*o - 6. Let b be y(v). Differentiate 3 - b + 1 + 2*i wrt i.
2
Let g(r) be the first derivative of 0*r + 0*r**5 + 0*r**3 + r**2 + 3 - 1/2*r**6 + 0*r**4. Find the second derivative of g(l) wrt l.
-60*l**3
Let f(n) be the first derivative of 8*n**5/5 - n**3 - 1. Find the third derivative of f(l) wrt l.
192*l
Suppose 0 = -0*l - 3*l. Let c = l - -2. What is the first derivative of -2 + 6 - y - c wrt y?
-1
Let x(a) be the first derivative of 1/12*a**4 + 0*a + 1/6*a**3 - 2 + a**2. Let f(l) be the second derivative of x(l). Differentiate f(h) with respect to h.
2
Suppose -8 = -2*k - 0*k. What is the derivative of 4*a**4 + 4*a**4 - 2 + k wrt a?
32*a**3
Let f be -1 - 10/(-15)*6. Let p(x) be the second derivative of 0*x**5 + 0*x**4 + 1/30*x**6 + 0*x**f - x**2 - 2*x + 0. Differentiate p(s) with respect to s.
4*s**3
Suppose -2*c + 6 = 0, c - 11 = 2*b - 4*b. What is the second derivative of -1 + 3*w - 3 - 4*w**4 + b wrt w?
-48*w**2
Let k = 5 + -2. Let c(m) = -m**2 + 5*m - 4. Let w be c(3). Find the third derivative of 2*v**2 - v**k - w*v**3 + 6*v**3 wrt v.
18
Suppose 10*p - 5*p = 20. Find the third derivative of -3*v**6 + 2*v**4 + 2*v**2 + 6*v**6 - 2*v**p wrt v.
360*v**3
Suppose 0 = t - 4*t + 6. Differentiate -2*u**2 + 4 + 3*u**2 + 0*u**2 + 3*u**t with respect to u.
8*u
Let h(u) = -u**3 + u**2 - u. Let t(c) = 7*c**4 + c**3 - c**2 + c + 3. Let v = 4 + -3. Let r(a) = v*h(a) + t(a). Differentiate r(p) wrt p.
28*p**3
What is the second derivative of -13*r**2 + 38*r + 38*r + 58*r**2 - 23*r wrt r?
90
Let y(r) be the first derivative of -r**5/5 - 2*r**3 - 10. What is the third derivative of y(o) wrt o?
-24*o
Suppose 2 = m - 1. What is the derivative of 6 - m + 11*w**4 - 9*w**4 wrt w?
8*w**3
Let o(a) = -4*a - 2. Let t(s) = -12*s - 7. Let j(d) = -11*o(d) + 4*t(d). What is the first derivative of j(z) wrt z?
-4
Let t = 7 + -32/5. Let d(f) be the first derivative of -t*f**5 + f + 0*f**3 + 0*f**4 + 0*f**2 - 3. What is the first derivative of d(h) wrt h?
-12*h**3
Let m(a) = -6*a**3 - 2*a - 1. Let t(v) = 11*v**3 + 5*v + 2. Let i(q) = q**2 - 6*q + 3. Let b be i(5). Let r(k) = b*t(k) - 5*m(k). Differentiate r(c) wrt c.
24*c**2
Let m(q) = 6*q**4 + 2*q**3 + 5*q**2 - 2*q. Let v(t) = -t**4 - t**3 - t**2 + t. Let g(n) = 3*m(n) + 6*v(n). Find the third derivative of g(d) wrt d.
288*d
Let g(a) be the second derivative of a**8/56 - a**4/12 + 5*a**3/3 + 5*a. Find the third derivative of g(h) wrt h.
120*h**3
Let j(w) = w - 6. Let x(v) = v. Let a(m) = -j(m) + 2*x(m). Let y be a(-3). What is the second derivative of 4*u**3 - 5*u**3 + 0*u**y + 2*u wrt u?
-6*u
Let i(d) = 2*d**3 - 10*d**2 - 5. Let b(n) = -n**3 - 1. Let x(j) = -5*b(j) + i(j). Find the third derivative of x(f) wrt f.
42
What is the second derivative of -k + 8*k + 8*k + 30*k**2 wrt k?
60
Let g(v) be the first derivative of 9*v**4/2 - 9*v + 1. Differentiate g(q) wrt q.
54*q**2
Let p(j) be the first derivative of 4 - j**2 + 0*j + 3/4*j**4 + 0*j**3. What is the second derivative of p(l) wrt l?
18*l
Let m be 2 - (6 + -3 - 3). What is the third derivative of -i**m - i**2 - 12*i**5 - i**2 + 4*i**5 wrt i?
-480*i**2
Find the first derivative of 23 + 31 + 13*r**4 - 34 wrt r.
52*r**3
Let d(o) = -10*o. Let y(x) = -10*x - 1. Suppose -4*t - 4 = -0*i - 2*i, 5*i = -t + 32. Let l(c) = i*y(c) - 5*d(c). Differentiate l(p) wrt p.
-10
What is the third derivative of 5*x + 2*x**3 - 5*x + 17*x**2 - 10*x**3 wrt x?
-48
Let d(v) = -v**4 + v**2 + 6*v. Let x(a) = a**4 + a**2. Let b(m) = -d(m) + x(m). What is the second derivative of b(y) wrt y?
24*y**2
Let j = 12 + -6. Suppose 4*o = j*o - 6. Differentiate 5 + o*q - 