1). Differentiate 3*u**4 + x*u**4 + 12 - 14 wrt u.
12*u**3
Let p(j) be the second derivative of -j**6/40 - j**3/2 + j**2 + j. Let m(w) be the first derivative of p(w). Differentiate m(b) wrt b.
-9*b**2
Let c(m) = m**3 + m + 7. Let b be c(0). Find the third derivative of -b*x**5 - 9*x**5 + 3*x**2 + 5*x**6 + 16*x**5 wrt x.
600*x**3
Let y(i) be the third derivative of i**5/60 + i**3/3 - 5*i**2. What is the first derivative of y(f) wrt f?
2*f
Let y(k) = -4 - 4*k - 5*k**4 - 6*k**2 - 2*k**5 + 5*k**4. Let z(t) = t**2 + t + 1. Let u(x) = y(x) + 4*z(x). Find the third derivative of u(s) wrt s.
-120*s**2
Let k(t) be the first derivative of -7*t**6/6 + 7*t**3/3 + 2. What is the third derivative of k(s) wrt s?
-420*s**2
Suppose -2*r = -4*r. Let g(p) be the second derivative of 0*p**5 + 2*p + r*p**3 + 0*p**2 + 0 - 1/6*p**4 - 1/15*p**6. What is the third derivative of g(q) wrt q?
-48*q
Let w(s) = 3*s - 1. Let m be w(2). Suppose -3*a + b + 16 = 0, -m*b + b = 2*a - 34. What is the first derivative of -4 + a*d**3 - 7*d**3 - 2*d**4 + 4*d**4 wrt d?
8*d**3
Let c(a) = a**2 + a + 4. Let d be c(0). What is the second derivative of 3*i + d - 4 - i**4 wrt i?
-12*i**2
Let i be (-6)/(-21) + (-24)/(-14). Let n be ((2 - 1) + 1)/1. What is the first derivative of -i - n*r + r + 1 wrt r?
-1
Let l(n) be the third derivative of -2*n**5/15 - 5*n**4/12 + 12*n**2. Find the second derivative of l(a) wrt a.
-16
Find the second derivative of 482*f**5 - 467*f**5 - 6*f + 13*f wrt f.
300*f**3
Let k = 5 + 2. Find the third derivative of 9*z**2 + k*z**6 + 6*z**2 - 8*z**2 wrt z.
840*z**3
Let o(a) be the third derivative of a**8/56 - 5*a**4/24 + 27*a**2. What is the second derivative of o(t) wrt t?
120*t**3
Let n(t) be the third derivative of -t**6/40 - 7*t**4/24 - 2*t**2. What is the second derivative of n(i) wrt i?
-18*i
Let i(d) be the first derivative of -22*d**6/3 + d**3 + 8. What is the third derivative of i(h) wrt h?
-2640*h**2
Let k = -4 + 10. Suppose -4*t = -t - k. What is the derivative of 3*i + 3 + 2*i**t - 3*i - 6 wrt i?
4*i
Let c(o) be the first derivative of -7*o**4/4 - 2*o**3 + 2*o + 1. Let p(t) = -15*t**3 - 13*t**2 + 5. Let y(z) = 13*c(z) - 6*p(z). Differentiate y(g) wrt g.
-3*g**2
Let r(q) = -14*q**4 - 5*q**2 - 21. Let l(n) = -7*n**4 - 2*n**2 - 11. Let i(x) = 5*l(x) - 2*r(x). What is the first derivative of i(m) wrt m?
-28*m**3
Let b(u) = -54*u**5 - 60*u - 16. Let z(f) = 11*f**5 + 12*f + 3. Let l(o) = -3*b(o) - 16*z(o). Find the second derivative of l(p) wrt p.
-280*p**3
Let a(v) be the third derivative of 0*v**3 + v**2 + 0*v**6 + 0 - 1/42*v**7 + 1/60*v**5 + 0*v + 0*v**4. What is the third derivative of a(f) wrt f?
-120*f
Find the second derivative of 4*j**5 - 6*j**4 + 6*j**4 - 8*j - 12*j**5 wrt j.
-160*j**3
Let d be ((-8)/(-6) - 2)*-3. What is the third derivative of 9*m**2 - 4*m**d + 15*m**4 - 15*m**4 - 4*m**6 wrt m?
-480*m**3
Let a(l) = l**3 - l + 3. Let f be a(0). Suppose f*x = x + 6. Find the third derivative of 4*v**4 - 5*v**4 + x*v**4 - 2*v**2 wrt v.
48*v
Let r(b) be the third derivative of -b**9/72 - b**5/30 - 2*b**2. What is the third derivative of r(i) wrt i?
-840*i**3
Suppose -2*v = -v. Suppose 0*y + 3*y - 15 = v. Differentiate 0*j**4 - y + 3 + j**4 wrt j.
4*j**3
Let a(r) = -r**3 - 7*r**2 + 3. Let n be a(-7). What is the second derivative of 2*c**3 + n*c - 7*c - 4*c**3 wrt c?
-12*c
Let t = -12 - -17. Suppose 3*x - 4 - t = 0. What is the derivative of 5*c**4 + 2 - 4*c**4 + 3*c**4 - x*c**4 wrt c?
4*c**3
Let u(f) be the third derivative of f**8/336 - 2*f**5/15 - 7*f**2. Find the third derivative of u(c) wrt c.
60*c**2
Suppose 5*a - 3*t - 29 = 0, -6*a - 2*t + 39 = -a. What is the derivative of 0*q + 0*q + 0*q + a + 2*q wrt q?
2
Suppose i + 8 = 2*l + 3*i, 3*l = -i + 8. Differentiate -x + l + 0 + 7*x + 3 with respect to x.
6
Let y(m) be the first derivative of m**4/4 + 4*m**3/3 + m**2 + m - 2. Let i be y(-2). Find the second derivative of -d - 3*d**2 - d + i*d**2 wrt d.
4
What is the second derivative of 3*r - 5*r + 2*r**5 + 5*r wrt r?
40*r**3
Let y(r) be the second derivative of r**5/120 + r**4/6 - 5*r**3/6 + 3*r. Let t(f) be the second derivative of y(f). What is the derivative of t(n) wrt n?
1
Let p(z) = -z**5 + z**4 - z**3 - 1. Let q(r) = 13*r**5 - 11*r**4 + 11*r**3 + r + 11. Let s(m) = 66*p(m) + 6*q(m). Find the second derivative of s(n) wrt n.
240*n**3
Let s(d) = d + 4. Let x(k) = -k - 3. Let g(r) = -2*s(r) - 3*x(r). Let p(l) = -3*l - 1. Let c(z) = 5*g(z) + p(z). Differentiate c(q) with respect to q.
2
Find the second derivative of -557*w + 564*w - 15*w**2 - 2*w**2 wrt w.
-34
Let s(w) = -16*w**3 + 43*w - 13. Let q(t) = 8*t**3 - 21*t + 6. Let a(b) = 13*q(b) + 6*s(b). Find the second derivative of a(y) wrt y.
48*y
Differentiate 1 + 4 - c - 4 with respect to c.
-1
Let s(r) be the second derivative of 8*r**3/3 - 2*r**2 + 49*r. Differentiate s(v) wrt v.
16
Let s(q) be the third derivative of -q**6/10 - 3*q**3 - 5*q**2. Differentiate s(x) wrt x.
-36*x**2
What is the third derivative of -3*c**2 - 7*c**6 + 3*c**2 + 4*c**2 wrt c?
-840*c**3
Find the second derivative of 6*j**2 - 2*j - 7*j**2 + 11*j**2 - 20*j wrt j.
20
Let f(n) be the third derivative of 0*n**4 + 0*n**7 + 0 + 0*n**3 + 0*n - 1/60*n**5 + 0*n**6 + 1/84*n**8 + 3*n**2. Find the third derivative of f(g) wrt g.
240*g**2
Let n(l) = -11*l**4 + 2*l**3 - 3*l**2 + 2*l + 11. Let w(p) = p**4 - p**2 + p. Let s(a) = n(a) - 2*w(a). Find the third derivative of s(o) wrt o.
-312*o + 12
Find the third derivative of -c**6 + 9*c**6 + 3 + 38*c**6 + 195*c**2 - 189*c**2 wrt c.
5520*c**3
Let v(l) = l**3 + 5*l**2 - 7*l - 4. Let w be v(-6). What is the derivative of -3*k**2 - w + 5*k**2 - k**2 + 2*k**2 wrt k?
6*k
Let f(c) be the third derivative of 0*c**7 + 3*c**2 + 0 + 0*c**4 + 0*c**3 - 1/336*c**8 - 1/30*c**5 + 0*c + 0*c**6. What is the third derivative of f(q) wrt q?
-60*q**2
What is the second derivative of 18*o**2 - o**2 + 13*o**2 - 53*o**2 - 4*o wrt o?
-46
Let l(g) = -g**3 + 9*g**2 - 8*g. Let a be l(8). Let r be (1 + 3)*(1 + a). Find the second derivative of r*c - 2*c + c**5 + 0*c**5 wrt c.
20*c**3
Let w(r) be the second derivative of -17*r**6/15 + r**4/12 + 43*r**3/6 - 21*r + 2. Find the second derivative of w(t) wrt t.
-408*t**2 + 2
Let j = -85 + 90. Let q(d) be the third derivative of 0*d + 0 + 2*d**2 + 1/30*d**j + 0*d**4 - 1/3*d**3. Differentiate q(o) wrt o.
4*o
Let i(f) be the first derivative of -16*f**6/3 + 3*f**3 - 33. What is the third derivative of i(d) wrt d?
-1920*d**2
Let c(r) = -66*r + 47. Let o(l) = -33*l + 23. Let h(f) = -3*c(f) + 5*o(f). Differentiate h(x) with respect to x.
33
Suppose 8 + 8 = -4*a. Let q be 10/a*(-8)/5. What is the third derivative of 0*t**2 - t**q + 0*t**4 - 2*t**2 wrt t?
-24*t
Let s(i) be the third derivative of 5*i**2 + 0 + 0*i + 0*i**6 + 0*i**5 + 0*i**3 + 1/35*i**7 - 1/24*i**4. Find the second derivative of s(t) wrt t.
72*t**2
Let b(y) be the third derivative of -y**9/2160 - y**5/20 + 7*y**4/24 - 2*y**2. Let j(z) be the second derivative of b(z). What is the derivative of j(x) wrt x?
-28*x**3
Let t be 10/(-55) + (-24)/(-11). Find the third derivative of 68*q**3 + 5*q**t - 68*q**3 + 6*q**4 wrt q.
144*q
Let n(w) = -w**2 - w. Let m(v) = 6*v**2 - 2*v - 4*v**3 + 2*v + 4*v + 2*v**3. Let o(x) = m(x) + 6*n(x). Find the second derivative of o(j) wrt j.
-12*j
Let p(n) be the third derivative of n**8/168 + n**5/12 + 3*n**2. Find the third derivative of p(v) wrt v.
120*v**2
Let f(j) be the third derivative of 2*j**4/3 + j**3 + 11*j**2. What is the derivative of f(n) wrt n?
16
Let p(k) be the third derivative of 0 - 1/120*k**6 + 0*k + 0*k**3 - 1/8*k**4 + 0*k**5 - 3*k**2. What is the second derivative of p(v) wrt v?
-6*v
Let t(c) be the third derivative of 0*c**4 - 1/60*c**6 + 0 - 2*c**2 + 0*c**5 + 0*c - 2/3*c**3. Find the first derivative of t(w) wrt w.
-6*w**2
Let p(c) = 5*c + 8. Let z(y) = -11*y - 17. Let o(g) = 9*p(g) + 4*z(g). Let i(n) = -2*n - 10. Let f(d) = -5*i(d) - 12*o(d). What is the derivative of f(w) wrt w?
-2
Suppose y - 11 = -5*b, -4*y + 5*b - 1 = -20. Suppose -j = j - y. Find the second derivative of 3*n - 3*n**3 - 2*n**j + n**3 wrt n.
-24*n
Suppose -6 = 2*u + 6. Let x = -4 - u. What is the third derivative of 3*b**3 - x*b**3 + b**2 - 2*b**2 wrt b?
6
Let j(y) be the first derivative