 Suppose 3*d + 13 = 5*f, -5*f = 5*d + 21 - 66. Find the second derivative of 3*o**5 + c*o**f - 4*o**5 + 3*o wrt o.
20*o**3
Let x(r) = -10*r**3 - 13*r**2 - 26*r. Let b(h) = -21*h**3 - 27*h**2 - 52*h. Let t(j) = -6*b(j) + 13*x(j). Find the second derivative of t(c) wrt c.
-24*c - 14
Let y = -6 - -8. Suppose -10 = -3*z - 3*i + 11, 5*z = -y*i + 29. Find the second derivative of -4*k**2 + z*k**2 + 3*k + k**5 - k**2 wrt k.
20*k**3
Let l(h) = 14*h**3 - 9*h**2 - 15. Let b(u) = 7*u**3 - 4*u**2 - 8. Let v(q) = 9*b(q) - 4*l(q). Find the first derivative of v(w) wrt w.
21*w**2
Let p = -2 + 4. Differentiate -p*o**2 - 5*o**2 - o**3 + 7 + 7*o**2 wrt o.
-3*o**2
Let p(s) be the third derivative of 0*s - 1/30*s**5 - 3/2*s**3 + 0*s**4 + 0 - 9*s**2. Differentiate p(x) with respect to x.
-4*x
Let y(n) = -6*n**5 + 7*n**2 + 6. Let s(q) = 6*q**5 - 7*q**2 - 7. Let b(x) = -6*s(x) - 7*y(x). Find the third derivative of b(a) wrt a.
360*a**2
Let v(g) = 5*g**4 - 17*g**2 + 21. Let i(b) = -2*b**4 + 6*b**2 - 7. Let z(c) = 17*i(c) + 6*v(c). Differentiate z(u) with respect to u.
-16*u**3
Let t(i) = 11*i**2 + 17*i + 5. Let y(p) = 16*p**2 + 25*p + 8. Let r(v) = -8*t(v) + 5*y(v). Find the second derivative of r(x) wrt x.
-16
Let t(k) be the second derivative of 5*k**7/42 + k**6/6 + k**4/12 - 7*k**2/2 - 5*k - 3. What is the third derivative of t(d) wrt d?
300*d**2 + 120*d
Let p(b) = 10*b**3 - 3*b**2 + 5*b + 5. Let m(r) = -15*r**3 + 4*r**2 - 8*r - 8. Let q(c) = 5*m(c) + 8*p(c). Find the third derivative of q(t) wrt t.
30
Let t(f) = -67*f**2 + 7*f - 26. Let n(w) = -33*w**2 + 3*w - 13. Let h(l) = -7*n(l) + 3*t(l). What is the derivative of h(b) wrt b?
60*b
What is the second derivative of -95 - 6*q**5 + 95 - 6*q wrt q?
-120*q**3
Find the second derivative of 2*i**5 - 2*i + i + i**5 + 9*i**5 wrt i.
240*i**3
Suppose -4*k - 9 = 3*x + k, 12 = -4*k. Find the second derivative of 2*r + 5*r + 5*r - 8*r**x - 5*r wrt r.
-16
Let a(c) = -c**3 + 3*c**2 + 3. Let t(i) = 2*i**2 + i + 2. Suppose 0 + 12 = -4*p. Let n(s) = p*t(s) + 2*a(s). Find the second derivative of n(m) wrt m.
-12*m
Let t(q) = -q**3 - 6*q**2 - 4*q + 7. Let r be t(-5). Suppose -x + 8 = r. Differentiate -x*a - 2 + 4 + 4*a with respect to a.
-2
Let f(o) be the third derivative of o**9/15120 + o**5/40 - o**4/24 + 3*o**2. Let u(c) be the second derivative of f(c). Find the first derivative of u(a) wrt a.
4*a**3
Let k be (0 + -3)*4/(-6). Let s = 6 - k. What is the third derivative of -4*w**2 + w**2 - 2*w**s + 2*w**2 wrt w?
-48*w
Let j(k) be the first derivative of 16*k**5/5 + 4*k**3/3 - 6. Find the third derivative of j(u) wrt u.
384*u
What is the second derivative of -3*d**2 - 2*d**2 + 22*d + 6*d**2 + 0*d**2 wrt d?
2
Let f = 22 - 22. Let t(b) be the second derivative of f*b**5 + 0*b**4 + 0 - 3*b - 1/6*b**3 + 1/30*b**6 + 0*b**2. Find the second derivative of t(o) wrt o.
12*o**2
Let f(p) = -11*p**3 + 6*p**2 + 4*p - 4. Let h(z) = -10*z**3 + 6*z**2 + 3*z - 3. Let c(k) = 3*f(k) - 4*h(k). Find the third derivative of c(i) wrt i.
42
Let z(y) be the second derivative of y**7/840 + y**5/24 - y**3/6 + y. Let o(r) be the second derivative of z(r). What is the second derivative of o(g) wrt g?
6*g
Suppose 4*h + 18 = 3*f, -28 = -4*f + 5*h - h. Find the third derivative of 12*w**2 - f*w**5 - 14*w**2 + 10*w**2 wrt w.
-600*w**2
Let j(f) be the second derivative of -f**9/1008 + f**6/360 - f**3/3 + f. Let t(z) be the second derivative of j(z). What is the third derivative of t(n) wrt n?
-180*n**2
Let y(g) = -41*g**2 + 11. Let r(x) = 39*x**2 - 10. Let j(h) = -3*r(h) - 2*y(h). Find the first derivative of j(q) wrt q.
-70*q
Let g(l) = -l**2 - 9*l - 10. Let t be g(-7). Let u be (-2)/5 + 2/5. Find the first derivative of j**t + u*j**4 - 1 - 2 wrt j.
4*j**3
Suppose 0 = -5*f + f. Find the first derivative of -1 + 10*a + f*a - 6*a wrt a.
4
Let p = 1 - -2. Differentiate -2*w + 4*w**p + 1 + 2*w + 2 wrt w.
12*w**2
Let a = 23 - 20. Let y(f) be the third derivative of 0*f**a + 0*f**5 - f**2 + 1/40*f**6 + 0*f + 0 - 1/24*f**4. What is the second derivative of y(s) wrt s?
18*s
What is the first derivative of -u + 3 - u - 5*u - u wrt u?
-8
Let f(a) be the second derivative of -4*a**8/7 + 3*a**4/2 - 42*a. What is the third derivative of f(z) wrt z?
-3840*z**3
Let f(s) be the second derivative of 7*s**5/10 - 11*s**4/6 - 16*s. What is the third derivative of f(a) wrt a?
84
Suppose -3*o = -3*w, -3*w + o + 1 = -3. Suppose w*n + 3 - 5 = 0. Find the first derivative of 2*x**2 - n - x**2 - 1 wrt x.
2*x
Let n(t) be the third derivative of 13*t**7/210 + t**5/5 - 8*t**2. What is the third derivative of n(m) wrt m?
312*m
Let t(z) be the third derivative of 3*z**7/70 - z**3/2 + 8*z**2. What is the derivative of t(c) wrt c?
36*c**3
Let h(n) = -n - 1. Let m(u) be the third derivative of -u**4/6 - 2*u**3/3 + 3*u**2. Let o(y) = 3*h(y) - m(y). What is the derivative of o(q) wrt q?
1
Let r(g) be the third derivative of -4*g**7/105 - 7*g**3/3 - 2*g**2. Find the first derivative of r(m) wrt m.
-32*m**3
Let l(c) be the first derivative of -c**10/1008 + c**6/72 - 4*c**3/3 + 2. Let o(r) be the third derivative of l(r). What is the third derivative of o(j) wrt j?
-600*j**3
Suppose 0 = -2*l + 4*m + 4, -3*l + 2*m - 5*m + 24 = 0. Let a(n) = n - 2. Let g be a(l). Find the third derivative of -k**3 + 4*k - g*k - k**2 wrt k.
-6
Let q(r) = r**3 - 5*r**2 - 7*r - 6. Let o be q(6). Let b be (-8)/o - 4/(-3). Find the third derivative of w**b - w**6 - 2*w**2 + 2*w**6 wrt w.
120*w**3
Let o(r) be the second derivative of r**6/5 + 2*r**2 + 6*r. What is the derivative of o(i) wrt i?
24*i**3
Let w = -5 + 7. Let r = 2 + -2. Differentiate r - l**2 - 3 - 2*l**w wrt l.
-6*l
Let x be (-2)/6 - (-14)/6. Let m be 2*1/x*2. What is the second derivative of -10 - z + m*z**3 + 10 wrt z?
12*z
Suppose 2*h - a = -2*a + 9, -7 = -h - a. Suppose -b - 2*j + h + 2 = 0, -4 = -b + 3*j. What is the first derivative of 3 - 3*m**4 - 1 + 3*m**4 - m**b wrt m?
-4*m**3
Suppose -3*m = 4*c + 18, -3*m + 4*c + 5 = 23. Let z(h) = -h**3 - 6*h**2 - h - 4. Let b be z(m). Differentiate -7 - w**b + 3 - 2*w**2 + 1 wrt w.
-6*w
Differentiate -28 + 65*b - 15 - 40*b wrt b.
25
Let l(b) be the first derivative of b**9/126 - b**5/60 + 3*b**2/2 - 2. Let r(v) be the second derivative of l(v). Find the third derivative of r(o) wrt o.
480*o**3
Suppose t + z = 4 - 0, 4*t - 2*z - 22 = 0. What is the third derivative of 0*w**2 + 2*w**2 + 2*w**t - 4*w**5 - w**5 wrt w?
-180*w**2
Let r(x) = 42*x**2 + 3*x - 2. Let j(a) = a**2 + a. Let g(t) = 5*j(t) + r(t). Find the second derivative of g(u) wrt u.
94
Let u(f) = -18*f**4 + 8*f + 36. Let w(s) = -s**4 + s. Let n(x) = -u(x) + 8*w(x). Differentiate n(p) wrt p.
40*p**3
Let t(r) = -104*r**3 + 17*r**2 + 83*r - 17. Let u(a) = -35*a**3 + 6*a**2 + 28*a - 6. Let y(w) = 6*t(w) - 17*u(w). Find the second derivative of y(c) wrt c.
-174*c
Let n(t) = 5*t**3 + 3*t**2 + 3*t. Let x(o) = 9*o**3 + 5*o**2 + 5*o + 1. Let r(j) = -5*n(j) + 3*x(j). What is the derivative of r(d) wrt d?
6*d**2
Let a(c) = -4*c**2 + 4*c - 9. Let k(s) = 4*s**2 - 3*s + 10. Let q(h) = -3*a(h) - 4*k(h). Find the first derivative of q(j) wrt j.
-8*j
Let g = 26 + -21. Let b(a) be the first derivative of -1/6*a**6 + 0*a**3 - 1 + 2*a**2 + 0*a**g + 0*a + 0*a**4. What is the second derivative of b(f) wrt f?
-20*f**3
Let i(g) be the first derivative of -3*g**4/2 + g**2/2 - 1. What is the second derivative of i(m) wrt m?
-36*m
Let z(j) = 9*j**4 - 6*j**2 + 17*j - 17. Let s(l) = -3*l**4 + 2*l**2 - 6*l + 6. Let r(m) = -17*s(m) - 6*z(m). What is the third derivative of r(u) wrt u?
-72*u
Let l be (8/(-12))/((-3)/9). Suppose 4*m + p = 0, 0 = -0*m - 3*m + 5*p. What is the derivative of -2*s**2 + m*s**l - 1 - 1 wrt s?
-4*s
Let b(l) = -9*l + 2. Let d(i) = 8*i - 2. Let g(k) = -2*b(k) - 3*d(k). What is the derivative of g(r) wrt r?
-6
Let p(c) = c + 8. Let s be p(-6). Suppose -s*q - 2*q - 2 = 3*y, -3*y = -2*q - 10. What is the derivative of 3*m**2 - 4*m - y + 4*m wrt m?
6*m
Let p(v) be the third derivative of -v**8/2880 - v**7/1680 + v**5/15 + v**2. Let c(r) be the third derivative of p(r). Find the second derivative of c(m) wrt m.
-14
Let v(j) = -17*j**2 + 15*j - 5. Let y(f) = 9*f**2 - 8*f + 3. Let q(o) = -3*v(o) - 5*y(o). What is the second derivative of q(p) wrt p?
12
Let r(c) be 