*3
Let z(p) = p + 3. Let f be z(0). What is the second derivative of 7*i + 9*i**3 - 2*i**f - 2*i wrt i?
42*i
What is the third derivative of 985 - 11*w**5 - 985 + 9*w**2 wrt w?
-660*w**2
Let m(w) be the first derivative of -5 - 2/5*w**5 + 0*w**2 - 4*w + 0*w**3 + 0*w**4. Find the first derivative of m(i) wrt i.
-8*i**3
Let g(q) = -13*q - 6. Let w(p) = -p + 13*p - 6 + 11. Let k(r) = -6*g(r) - 7*w(r). Find the first derivative of k(s) wrt s.
-6
Find the second derivative of 9*i + 14*i**4 - 9*i**4 - 18*i**4 wrt i.
-156*i**2
Suppose 4*x - 9 = -5*u + 23, 5*u = -2*x + 26. Suppose -x*f + 4 = -5. Find the second derivative of -5*n**4 + n - n - f*n + 4*n**4 wrt n.
-12*n**2
Let m = 2 + -1. Let s(y) = 5*y**2 + 5 - 3 - 3*y**2. Let r(t) = -t**3 + t**2 + t + 1. Let h(v) = m*s(v) - 2*r(v). What is the second derivative of h(p) wrt p?
12*p
Let j(d) = d**2 - 2*d - 5. Let f be j(4). Suppose 2*s - 5 = f. What is the first derivative of -2 - s - z**3 + 2 + 3 wrt z?
-3*z**2
Find the first derivative of 0*k + 2 - 3 + 0*k - 4*k wrt k.
-4
Let i(y) = -y**3 + 6*y**2 - 6*y + 7. Let t be i(5). Find the first derivative of 5*f**t - 2*f**2 + 9 - 11 wrt f.
6*f
Let h be (-18)/15*20/(-6). Let f(a) be the first derivative of 0*a**h + 0*a**3 + a**2 + 1/5*a**5 - 1 + 0*a. What is the second derivative of f(x) wrt x?
12*x**2
Let v(d) = d**4 + d**3 - d**2 - d - 1. Let t(l) = 12*l**4 - l**3 + l**2 + l - 25. Let b(y) = -t(y) - v(y). Differentiate b(o) wrt o.
-52*o**3
Let n(a) = -a**3 + 7*a**2 - 26. Let i(d) = 2*d**3 - 8*d**2 + 26. Let g(k) = -5*i(k) - 6*n(k). What is the derivative of g(w) wrt w?
-12*w**2 - 4*w
Let b = 5 + -5. Find the first derivative of -2*n**3 + 4 + b*n**3 + 2*n**3 - n**4 wrt n.
-4*n**3
What is the first derivative of 18 - 663*a - 657*a + 1297*a wrt a?
-23
Let k(a) = 71*a**3 + 17*a**2 + 17*a - 64. Let t(b) = 9*b**3 + 2*b**2 + 2*b - 8. Let p(f) = -6*k(f) + 51*t(f). Differentiate p(v) with respect to v.
99*v**2
Let o(b) be the first derivative of 0*b**3 + 0*b - 1/2*b**4 + 2*b**2 + 3. Find the second derivative of o(l) wrt l.
-12*l
Find the second derivative of -5*v + v**3 - 17*v**3 + 2*v**3 + v wrt v.
-84*v
Let u(o) = o**3 - 4*o**2. Let v be u(4). Differentiate -1 + 2*x - x + v*x with respect to x.
1
Let j(s) = s**3 - s**2. Let u(q) = 17*q**3 - 2*q**2 + 17*q. Let i(f) = -2*j(f) + u(f). What is the second derivative of i(a) wrt a?
90*a
Let j(t) = -t**4 - 7*t**2 + 3*t + 3. Let f(n) = -n**4 - 14*n**2 + 5*n + 5. Let k(m) = 6*f(m) - 10*j(m). What is the third derivative of k(w) wrt w?
96*w
Let b(n) = -1. Let s(h) = -2*h - 11. Let w(j) = 5*b(j) - s(j). Find the first derivative of w(v) wrt v.
2
Let h(f) be the second derivative of -f**9/5040 - f**6/360 + f**4/12 - 3*f. Let m(i) be the third derivative of h(i). Find the second derivative of m(j) wrt j.
-36*j**2
Let o(p) be the second derivative of p**7/42 + 19*p**4/12 - 20*p. What is the third derivative of o(b) wrt b?
60*b**2
Let n(r) = -26*r**2 + 22. Let m(q) = -26*q**2 + 23. Let b(h) = -3*m(h) + 2*n(h). Differentiate b(j) with respect to j.
52*j
Let b(l) be the second derivative of l**6/10 + 11*l**3/2 - 41*l. What is the second derivative of b(i) wrt i?
36*i**2
Let p(r) be the second derivative of r**11/13860 - r**7/2520 - r**4/4 - 3*r. Let u(n) be the third derivative of p(n). Find the third derivative of u(j) wrt j.
480*j**3
Let s(j) be the second derivative of 3*j**7/14 - j**3/3 - 11*j. Find the second derivative of s(i) wrt i.
180*i**3
Let w(q) be the third derivative of -7*q**5/15 - 11*q**4/12 - 35*q**2. Find the second derivative of w(r) wrt r.
-56
Let l(z) be the first derivative of 4*z**3 + 5*z**2/2 + 7. Find the second derivative of l(h) wrt h.
24
What is the second derivative of 0*y**4 + 2*y**4 + 53*y - 55*y wrt y?
24*y**2
Let q(b) = -10*b**3 - 23*b**2. Let w(s) = -9*s**3 - 23*s**2. Let i(f) = -2*q(f) + 3*w(f). Find the third derivative of i(h) wrt h.
-42
Let y(i) be the third derivative of i**6/24 - i**5/60 + 4*i**2. Find the third derivative of y(d) wrt d.
30
Let j(v) = v**3 - 2*v**2 - 3*v + 2. Let b be j(3). Find the third derivative of c**2 - 2*c**3 + b*c**3 + 4*c**5 - 6*c**5 wrt c.
-120*c**2
Suppose 26 = 5*m + 1. Find the third derivative of t**4 + 0*t + m*t**2 + 0*t - 4*t**2 wrt t.
24*t
Let u(c) = c**4 - 4*c**3 + 4*c**2 - 2*c - 4. Let a(d) = 5*d**3 - 5*d**2 + 2*d + 5. Let i(y) = -4*a(y) - 5*u(y). Find the second derivative of i(r) wrt r.
-60*r**2
Find the third derivative of 9*g**4 + 13*g**4 + 8*g**4 - 36*g**2 wrt g.
720*g
Let v = 24 + -19. Let t(b) be the second derivative of -1/6*b**4 + 0*b**2 + 0*b**3 + b + 0 - 1/30*b**6 + 0*b**v. Find the third derivative of t(d) wrt d.
-24*d
Suppose 0 = -7*x + 9*x. What is the second derivative of 3*o + 4*o + 2*o**2 - 4*o + x*o wrt o?
4
Suppose -7 = -j + 3*h, -j - h = -0*h + 1. Differentiate n**3 + j + 0 - 1 - 1 wrt n.
3*n**2
Let w = -7 + 11. Suppose -r + 2*u = -4 - 3, -3*r - 5*u - 1 = 0. What is the third derivative of w*p**r + 2*p**2 + 2*p**2 - 4*p**3 - p**3 wrt p?
-6
Let x be 2/(-10) - (-48)/40. What is the first derivative of -x - 5 + 9 - 5*r**2 wrt r?
-10*r
Let n(s) = s - 1. Let r(a) = 15*a - 13. Let t(l) = -6*n(l) - r(l). What is the derivative of t(y) wrt y?
-21
Let t be 6/3*(-2)/(-4). What is the derivative of -t + 2 + 7*m**4 - 5*m**4 wrt m?
8*m**3
What is the second derivative of j + j - 46*j**2 + 51*j**2 wrt j?
10
Suppose w + 0*w - 1 = g, -w + 3*g + 1 = 0. Suppose 8 = -3*i - 5*x, -2*x + w = -i + 13. Find the second derivative of -5*y + 2*y - 5*y**4 + 3*y**i + y wrt y.
-24*y**2
Suppose 4*q + 56 = -0*q. Let v be (-6)/(-21) + (-80)/q. Find the third derivative of -l**2 + 2*l**v + 6*l**3 - 6*l**3 wrt l.
240*l**3
Let z = 9 - 7. Find the second derivative of -5 - z*c**5 + 3*c**5 - 2*c + 5 wrt c.
20*c**3
Let y(q) be the second derivative of q**7/2520 - q**5/40 + q**4/12 + 2*q. Let f(a) be the third derivative of y(a). What is the derivative of f(n) wrt n?
2*n
Let n(a) = -3*a - 4. Let j be n(-3). What is the first derivative of -j + 1 + 5 + 5 - u**4 wrt u?
-4*u**3
Let y(a) = -5*a**4 + a**2 - 2*a. Let p(i) = i**4 + i**2 + i. Let h(m) = -2*p(m) - y(m). What is the third derivative of h(x) wrt x?
72*x
Let i = 39 - 14. Find the second derivative of -c**4 - i*c**2 + 4*c + 25*c**2 wrt c.
-12*c**2
Suppose -4*u = -5*r - 1, 3*r + 1 = 3*u - u. Let p = r - -3. Differentiate -p + 3 + 0 + 2*w**4 wrt w.
8*w**3
Let g(h) be the second derivative of -h**5/60 - h**4/3 + 9*h**2/2 - 9*h. Let y(v) be the first derivative of g(v). What is the second derivative of y(x) wrt x?
-2
Let d be -4 + (4 - 3) + 9. Find the third derivative of 14*c**2 - 22*c**2 - 6*c**6 + c**d wrt c.
-600*c**3
Let a(g) = g - 17. Let l be a(20). Let q(u) be the third derivative of 0 + 1/3*u**3 - l*u**2 + 0*u + 1/12*u**4. What is the first derivative of q(o) wrt o?
2
Let y(h) = -6*h**2 - 5*h + 7. Let z(s) = 6 - 2*s - 5*s**2 - s - s. Let c = 2 - -3. Let w(g) = c*z(g) - 4*y(g). Find the first derivative of w(t) wrt t.
-2*t
Let k be 3 - 0 - 1/1. What is the third derivative of -4*o**2 + 3*o**4 + 3*o**2 - 3*o**k - 5*o**4 wrt o?
-48*o
Let c(g) be the second derivative of 0*g**6 - 4*g + 0*g**3 + 0*g**5 + 1/6*g**4 + 0*g**2 + 0 + 1/14*g**7. Find the third derivative of c(z) wrt z.
180*z**2
Let z(k) be the first derivative of -k**6/15 - k**3/2 + 3*k - 1. Let o(u) be the first derivative of z(u). Find the second derivative of o(r) wrt r.
-24*r**2
Let c(p) be the third derivative of 5*p**8/84 - p**4 - p**2. What is the second derivative of c(h) wrt h?
400*h**3
Let v(k) = 2*k**4 + 4*k**3 + k + 4. Let q(a) = a**3 + a + 1. Let y(b) = -4*q(b) + v(b). What is the second derivative of y(x) wrt x?
24*x**2
What is the second derivative of 25*h**5 + 15*h - 13*h**5 - 36*h**5 wrt h?
-480*h**3
Let j(w) = 8*w**2 - 3*w - 10. Let d(g) = 40*g**2 - 16*g - 50. Let m(p) = -3*d(p) + 16*j(p). Differentiate m(b) with respect to b.
16*b
Find the second derivative of -37*x**2 + 5*x**4 - 8*x + 37*x**2 wrt x.
60*x**2
Let p = -14 - -17. Differentiate 3*k**4 + p - 3*k**4 - 3*k**4 with respect to k.
-12*k**3
Let i = 3 - 1. Find the second derivative of 6*l**5 - i*l**5 - 19*l + 16*l wrt l.
80*l**3
Let l(m) = -m**2 - m + 4. Let w be l(0). Find the third derivative of -19*t**2 + 20*t**2 + w*t**6 + t**6 wrt t.
600*t**3
Let p(j) be the third derivative of