8
Let k(f) = 8*f**4 - 6*f**3 + 6*f + 3. Let u(n) = 7*n**4 - 5*n**3 + 5*n + 4. Let v(i) = -5*k(i) + 6*u(i). Differentiate v(c) with respect to c.
8*c**3
Let m(l) be the third derivative of -l**9/7560 + l**5/60 - l**4/6 + l**2. Let r(w) be the second derivative of m(w). Differentiate r(c) with respect to c.
-8*c**3
Suppose 0 = 5*c - c - 20. Find the second derivative of -i - 3*i + i + 2*i**3 + c*i wrt i.
12*i
Let o(v) = -6*v**2 - 7*v - 17. Let z(m) = 3*m**2 + 4*m + 9. Suppose 12 = -7*p + 4*p. Let c(j) = p*o(j) - 7*z(j). What is the first derivative of c(n) wrt n?
6*n
Let z(b) be the second derivative of -b**8/168 + b**4/8 + b**2 + 3*b. Let o(h) be the first derivative of z(h). Find the second derivative of o(t) wrt t.
-40*t**3
What is the second derivative of -5*i - 9*i - 6*i - 2*i**2 + 0*i**2 wrt i?
-4
Let i(y) be the first derivative of 5*y + 6 - 5/2*y**2. Differentiate i(f) with respect to f.
-5
Let g be ((-3)/4)/(14/(-56)). Suppose x + 15 = 3*i, -3*x - 9 = -2*i - i. Find the third derivative of -3*s**2 + 5*s**i - s**6 - g*s**6 wrt s.
120*s**3
Suppose 5*x - 5*b = -5, 3*b - 13 + 4 = 0. Find the third derivative of -s**x + 2*s**5 + s**5 + 0*s**5 wrt s.
180*s**2
Let s(m) be the second derivative of m**8/112 - m**5/60 - 4*m**2 + 6*m. Let q(i) be the first derivative of s(i). Find the third derivative of q(b) wrt b.
180*b**2
Let f(h) = 10*h**3 - 9*h**2 - 6. Let y(s) = -31*s**3 + 26*s**2 + 17. Let r(k) = -17*f(k) - 6*y(k). Find the third derivative of r(l) wrt l.
96
Let s be 10/(-45) - 330/(-27). What is the second derivative of 24 + 3*v - 12 - s - 6*v**4 wrt v?
-72*v**2
Find the third derivative of 2*q - 28*q**4 + q**2 - 2*q wrt q.
-672*q
Let f(g) = 8*g**4 - 7*g**2 - 5*g - 5. Let d(z) = -4*z**4 + 3*z**2 + 2*z + 2. Let i(a) = -5*d(a) - 2*f(a). What is the third derivative of i(u) wrt u?
96*u
Let y(p) = -p**2 - 3*p + 2. Let d be y(-3). What is the third derivative of 2*c**4 - 17 + 17 - 3*c**d - c**2 wrt c?
48*c
Let t = 2 - -2. Differentiate -8 + 1 + 2 - 9*g**t + 2*g**4 with respect to g.
-28*g**3
Let n(b) be the first derivative of -4*b**6/3 - b**2 + 8. What is the second derivative of n(v) wrt v?
-160*v**3
What is the second derivative of -3*z**3 + 3*z**3 + 28*z + 7*z**4 + 6*z**4 wrt z?
156*z**2
Suppose 2*y + 5 = 4*z - y, 0 = 2*z + y - 15. Find the second derivative of -m**5 + 2*m**5 - 6*m**z - 5*m**5 + 3*m wrt m.
-200*m**3
Let x(f) be the first derivative of f**5 + 8*f + 8. Differentiate x(m) with respect to m.
20*m**3
Suppose 0*t + 3*t - 9 = 3*m, -5*m = 0. What is the second derivative of -5*i + t*i**2 - 5*i + 4*i + 0*i wrt i?
6
Find the third derivative of 5*a**6 + 4*a**6 + 4*a**6 + 4*a**2 wrt a.
1560*a**3
Let i(s) be the third derivative of 5*s**8/336 + s**4/6 + 2*s**2. What is the second derivative of i(l) wrt l?
100*l**3
Suppose 4*o - 25 + 5 = 0. Suppose 6*m - 3 = o*m. What is the first derivative of 3 + 4 + 4*p - 5*p - m wrt p?
-1
Suppose -u = -4 + 1. Find the second derivative of 5*d - u*d**3 - 3*d - 3*d**3 wrt d.
-36*d
Let v(m) be the first derivative of m**10/1260 + m**6/180 + 4*m**3/3 + 4. Let d(j) be the third derivative of v(j). What is the third derivative of d(a) wrt a?
480*a**3
Let p(y) = -40*y**2 + 21*y - 3. Let h(j) = -1. Let z(b) = 3*h(b) - p(b). What is the second derivative of z(i) wrt i?
80
Let q(d) be the second derivative of -5*d**3/3 + 3*d**2 - 2*d. Differentiate q(c) wrt c.
-10
Let h be -3 + 7 + (-3 - -1). Let w(a) be the second derivative of -a - a**h + 0 + 1/6*a**3. Find the first derivative of w(r) wrt r.
1
Let y(k) be the first derivative of 0*k**4 + 3*k**2 + 0*k**3 + 0*k - 1/2*k**6 + 0*k**5 + 6. What is the second derivative of y(z) wrt z?
-60*z**3
Let n be (-8)/(-20) + (-23)/(-5). Suppose -y = -4*k + 3*y - 12, n*k = -5*y + 35. What is the second derivative of -k*o**5 + o**5 + 6*o**3 - 6*o**3 - 3*o wrt o?
-20*o**3
Find the third derivative of -584*q + 18*q**6 - 2*q**2 + 291*q + 302*q wrt q.
2160*q**3
Let i(n) = 3*n**5 - n**2 + 7*n - 7. Let x(m) = -2*m**5 - 4*m + 4. Let j(h) = -4*i(h) - 7*x(h). What is the third derivative of j(c) wrt c?
120*c**2
Let c = -6 + 12. What is the third derivative of -2*z**2 + 6*z**4 - c*z**4 - 5*z**2 + 6*z**5 wrt z?
360*z**2
Let k(z) = -21*z**2 - 18. Let c(w) = -10*w**2 - 9. Let h(y) = 5*c(y) - 3*k(y). Differentiate h(r) with respect to r.
26*r
What is the second derivative of 0*a**2 + 92*a - 79*a - 3*a**2 wrt a?
-6
Let h(c) be the first derivative of 2*c**3 + 6*c - 2. Differentiate h(i) wrt i.
12*i
Let q(d) be the second derivative of -d**6/120 + d**4/12 + 2*d**2 + 4*d. Let z(a) be the first derivative of q(a). Find the second derivative of z(u) wrt u.
-6*u
Let t(m) = -16*m**3 + 7*m**2 + 47. Let f(w) = 5*w**3 - 2*w**2 - 16. Let h(a) = 7*f(a) + 2*t(a). Differentiate h(q) wrt q.
9*q**2
Let s(m) = 7*m**2 - 23*m + 1. Let j(h) = 8*h**2 - 22*h. Let b(i) = 6*j(i) - 7*s(i). Find the first derivative of b(k) wrt k.
-2*k + 29
Suppose 17 = 14*q - 39. Let k(n) be the first derivative of -2*n**2 + 0*n**3 - 1/3*n**6 + 1 + 0*n**5 + 0*n**q + 0*n. Find the second derivative of k(o) wrt o.
-40*o**3
Suppose -o = 4*o - 10. Differentiate 4*x + 1 - o*x + 3*x wrt x.
5
Let u(s) be the second derivative of 0*s**3 + 0 + 4*s + 0*s**5 + 1/30*s**6 + 0*s**4 - s**2. Find the first derivative of u(g) wrt g.
4*g**3
Let p(u) = 5*u**2 - 6*u + 8. Let s(t) = -t**2 + t - 1. Let g(x) = -p(x) - 6*s(x). Let b be g(2). Find the second derivative of l - l**4 - b*l + 2*l**4 wrt l.
12*l**2
Let x(k) be the first derivative of -7*k**2/2 - 6*k + 3. Let h(q) = -6*q - 5. Let w(d) = 5*h(d) - 4*x(d). Differentiate w(a) with respect to a.
-2
Let v(l) be the second derivative of -l**5/5 - 5*l**4/3 - 18*l. Find the third derivative of v(u) wrt u.
-24
Let q(d) = d**3 + 1. Let k(f) = 10*f**3. Let i(o) = k(o) - 6*q(o). What is the first derivative of i(y) wrt y?
12*y**2
Let x(q) = -6*q + 4 - 2 + 3*q. Let l(i) = -i. Let f be 1/((-1)/(-2 - -3)). Let k(v) = f*x(v) + 2*l(v). What is the first derivative of k(j) wrt j?
1
Let k(f) = -8*f**2 - 7*f + 4. Let i(l) = -4 - 27*l**2 + 5 + 20*l**2 - 6*l + 2. Let q(n) = -4*i(n) + 3*k(n). What is the second derivative of q(r) wrt r?
8
Let b be (1 - 2)/((-4)/12). Find the second derivative of -q + b*q + 33*q**4 - 29*q**4 wrt q.
48*q**2
What is the derivative of -6*s**3 - 9 + 2*s**3 - 2*s**3 wrt s?
-18*s**2
Let w(p) be the first derivative of p**10/5040 + p**6/120 + p**3 + 3. Let l(t) be the third derivative of w(t). What is the third derivative of l(j) wrt j?
120*j**3
Suppose 5*m = 5*h - 35, -3*h = 2*h + 5*m + 15. Find the third derivative of 2*j**3 - 4*j**2 + 5*j**h - 2*j**2 - 5*j**3 wrt j.
-18
Find the second derivative of -5*h + 5*h + 14*h**3 + 8*h wrt h.
84*h
Let o(p) = -13*p + 22. Let k(c) = -25*c + 45. Let i(d) = -3*k(d) + 5*o(d). Find the first derivative of i(r) wrt r.
10
Suppose 4 = 4*q + 28. Let d(p) = -17*p**2 - 2. Let m(w) = 8*w**2 + 1. Let c(z) = q*d(z) - 13*m(z). What is the first derivative of c(y) wrt y?
-4*y
Let t(q) be the second derivative of -5*q**6/6 + 8*q**2 + 29*q. Differentiate t(m) with respect to m.
-100*m**3
What is the second derivative of 3*p - 3 + 5 + 0*p**3 + 43*p**4 + 0*p**3 wrt p?
516*p**2
Let b(l) = 3 - 11 + 10. Let x(a) = a**2 + 3. Suppose -4*y = 0, 3*k + 2*y + 7 = -5. Let v(z) = k*b(z) + 3*x(z). Differentiate v(h) with respect to h.
6*h
Find the second derivative of -h + h**2 - h - 4*h**2 wrt h.
-6
Let m(p) be the first derivative of 35*p**6/3 + p**2/2 + 5*p + 68. Find the second derivative of m(o) wrt o.
1400*o**3
Find the third derivative of -2 + r**4 - 5*r**2 + 11*r**4 + 2 wrt r.
288*r
Let d(c) = 2*c**2 - 3. Let m(t) = -1. Let z be ((-3)/2)/((-3)/4). Let g(n) = z*m(n) - d(n). What is the derivative of g(l) wrt l?
-4*l
Let q(j) = -j**3 + 5*j**2 + 5*j + 6. Let m be q(6). Let n = m + 6. Find the third derivative of 0*f**n - f**2 - 2*f**6 + f**6 wrt f.
-120*f**3
Let l(c) = -c**3 + 7*c**2 + 7*c - 4. Let t(q) = 2*q**2 + 2*q - 1. Let d(i) = 6*l(i) - 21*t(i). Differentiate d(k) with respect to k.
-18*k**2
Let i(j) be the first derivative of 3*j**4/2 + 5*j**2 - 15. Find the second derivative of i(b) wrt b.
36*b
Let m(t) = 2*t**4 - 2*t**3 + 2*t**2 - 1. Suppose 0 = -r + 6*r - 10. Let y(q) = q**3 - q**2 + 1. Let u(i) = r*y(i) + m(i). What is the derivative of u(b) wrt b?
8*b**3
Let 