- 1. Let f be 17/3 - (-2)/6. Find the first derivative of -3 - 4*m**2 + f + 6*m**l wrt m.
4*m
Let f be (1 + 0/(-1))*4. Find the second derivative of 6*b**5 + 91*b**4 - b**5 - 91*b**f + 9*b wrt b.
100*b**3
Let s(l) be the first derivative of -5*l**3/3 - 34*l - 20. What is the first derivative of s(b) wrt b?
-10*b
Let n(g) be the second derivative of g**3 + 1/2*g**2 + 0 - 4*g. Find the first derivative of n(u) wrt u.
6
Let r(a) = -11*a**3 - 3*a - 12. Let x(w) = 44*w**3 + 13*w + 49. Let l(h) = -26*r(h) - 6*x(h). Find the first derivative of l(m) wrt m.
66*m**2
Let n(i) = i + 1 - 1 + 4*i**2. Let h be n(-1). Find the second derivative of 0*c + c + 0*c - c**h wrt c.
-6*c
Let r(f) = f + 7. Let k be r(-8). Let n be k + 4 + (-3)/3. What is the third derivative of -2*c + 2*c - n*c**2 - c**5 wrt c?
-60*c**2
Suppose 3*x + 0 = -9. Let a = x + 6. Find the third derivative of -5*z**2 + z**3 + a*z**2 - 2*z**3 wrt z.
-6
Let o(x) = -x**4 - 2*x**2 + 2*x - 2. Let m(r) = 0*r**4 - 3 + 2 + 0*r + r**4 + r. Let p(w) = 6*m(w) - 3*o(w). What is the third derivative of p(h) wrt h?
216*h
Let g(k) = k**3 + k**2 + k + 1. Let d(b) = 7*b**3 + 4*b**2 + 23*b + 4. Let l(j) = d(j) - 4*g(j). What is the second derivative of l(f) wrt f?
18*f
Let f(g) be the third derivative of -13*g**8/168 - 4*g**4/3 - 20*g**2. Find the second derivative of f(d) wrt d.
-520*d**3
Find the third derivative of 2*g**5 - 7*g**2 + g**5 + 0*g**2 wrt g.
180*g**2
Let i be (1 - 1)*(3 - 4). Suppose -2 = -i*t - t. What is the third derivative of 2*n**4 - t*n**2 + 5*n**2 - 4*n**4 wrt n?
-48*n
Let i(m) = m**2 - 1. Suppose -2*w - 3 - 1 = 0. Let y be i(w). What is the derivative of 5 - 1 - o**2 - y wrt o?
-2*o
Let y(b) = b - 3. Let l(m) = -8 - 5 + 0 + 5*m. Let d(h) = -h**3 - 4*h**2 - 7. Let g be d(-5). Let x(v) = g*y(v) - 4*l(v). What is the derivative of x(n) wrt n?
-2
Let u(h) = 14*h**4 - 2*h**3 - 2*h**2 - 4*h. Let f(z) = -14*z**4 + 3*z**3 + 3*z**2 + 4*z. Let b(i) = 2*f(i) + 3*u(i). Find the second derivative of b(y) wrt y.
168*y**2
Let s(t) = -2*t**2 + 3*t - 2. Let k(w) = w**2 - 2*w + 2. Suppose -x - x + 4 = 0. Let h(i) = x*s(i) + 3*k(i). Differentiate h(l) with respect to l.
-2*l
Let o(x) be the second derivative of 5*x**7/42 + 17*x**3/6 - 5*x. What is the second derivative of o(k) wrt k?
100*k**3
Let t(a) = -a**2 - 7*a - 4. Let q be t(-8). Let p = 17 + q. What is the second derivative of p*y**5 - 2*y - 3*y**5 + 0*y**5 - y wrt y?
40*y**3
Let m(y) be the first derivative of -13*y**6/3 + 35*y**2/2 + 15. What is the second derivative of m(x) wrt x?
-520*x**3
Suppose 0*h + 42 = 3*h. Let s be (-23)/(-7) - 4/h. What is the first derivative of 3*n - s - n + 2*n wrt n?
4
Suppose 4*s - 18 = 2*t, 3*s + 3*t - 2*t = 1. Let m(j) be the first derivative of -2 + s*j - 4*j**2 + 3*j**2 - j. Find the first derivative of m(q) wrt q.
-2
Suppose -2*p - p + 21 = 5*m, 2*p = 4*m - 8. Suppose 5*k + j = 12, 11 = 2*k - 5*j - 10. Differentiate 1 + 0 - p*h**k + 1 wrt h.
-6*h**2
What is the third derivative of 11*d**2 - 8*d**6 + 290*d**3 - 290*d**3 wrt d?
-960*d**3
Let u(v) be the third derivative of 1/336*v**8 + 0*v**3 + 0*v + 2*v**2 + 0*v**6 + 0*v**7 - 1/12*v**4 + 0 + 0*v**5. What is the second derivative of u(z) wrt z?
20*z**3
Let d(p) = p**3 + p**2 + p. Let l(x) = -3*x**4 - 13*x**3 + 20*x**2 + 5*x - 1. Let t(w) = -5*d(w) + l(w). Find the third derivative of t(h) wrt h.
-72*h - 108
Let h(o) = -2*o - 3. Let w be h(-4). Find the third derivative of -q**5 - 2*q**5 - 3*q**w + 6*q**2 wrt q.
-360*q**2
Let x(v) be the first derivative of -5*v**7/7 - 25*v**3/3 + 26. Find the third derivative of x(g) wrt g.
-600*g**3
Let z(m) = -m**3 + 7*m**2 + 9*m - 5. Let i be z(8). What is the third derivative of -2*f**3 - f**3 + 2*f**i - f**2 wrt f?
-6
Let b(m) be the second derivative of -m**3 - m. Let q be b(-1). What is the derivative of -13 - 5*x**2 + q*x**2 + 15 wrt x?
2*x
Let t(d) be the third derivative of 5*d**9/504 + 2*d**5/15 + 8*d**2. Find the third derivative of t(c) wrt c.
600*c**3
Let d(m) be the second derivative of -m**5/120 + m**4/12 + m**3/3 - 3*m. Let s(v) be the second derivative of d(v). What is the derivative of s(f) wrt f?
-1
Let n(k) = 52*k**2 - 19*k. Let f(w) = -103*w**2 + 37*w. Let m(i) = -6*f(i) - 11*n(i). Find the second derivative of m(l) wrt l.
92
What is the third derivative of 0*d**2 - 6*d**3 + 6*d**2 + 2*d**2 wrt d?
-36
Let y(q) = 2*q - 1. Let r be y(2). What is the derivative of -3 + 2*h**4 + h**3 - h**3 + 0*h**r wrt h?
8*h**3
Let u(z) = -2*z - 4. Suppose -4*f = -5*l - 3, -3*l - 15 = 5*f + 9. Let n be u(f). Differentiate -n + 0*g + 5 - g with respect to g.
-1
Let n(l) = -8*l**4 - 3*l**3 + 3*l**2 + 10. Let j(v) = 23*v**4 + 8*v**3 - 8*v**2 - 30. Let o(u) = -3*j(u) - 8*n(u). Find the first derivative of o(k) wrt k.
-20*k**3
Let x(u) = u**3 + 4*u**2 + 3*u + 2. Let q be x(-3). Suppose -4*g + 3*g = -4. Differentiate -3 - g + 6 - f**2 + 2*f**q wrt f.
2*f
Let f(v) = 3*v**3 - 4*v - 5. Let a(u) = -9*u**3 + 11*u + 15. Let y(h) = 4*a(h) + 11*f(h). Differentiate y(q) with respect to q.
-9*q**2
Suppose -5*b = -3*l + 30, 22 = 4*l + 2*b + 8. Find the second derivative of t + t - t**5 + 3*t**l wrt t.
40*t**3
Let j(p) be the second derivative of p**5/2 - 3*p**4/4 - 4*p. What is the third derivative of j(h) wrt h?
60
Suppose -5*m - 16 = -4*o, 2*o - 2*m - 3 = 5. What is the second derivative of -5*l**o + 16 - 16 - 3*l wrt l?
-60*l**2
Let g = 7 + -3. Suppose -4*n + 4 = -g. Find the second derivative of -3*d + n*d + 0*d**2 - 2*d**2 wrt d.
-4
Find the second derivative of -16*z + 34*z**3 + z - 4*z wrt z.
204*z
Let v be 21/6 + 2/(-4). What is the second derivative of 2*l**2 - 8*l**2 + v*l**2 + l wrt l?
-6
Find the third derivative of -d**5 - 5*d**2 - 4*d**5 - 118*d + 2*d**4 + 14*d**2 + 123*d wrt d.
-300*d**2 + 48*d
Let m(n) be the second derivative of 2*n**6/15 + 2*n**4/3 - 4*n. What is the third derivative of m(p) wrt p?
96*p
Let b(q) be the first derivative of -q**6 - 7*q**2 + 12. What is the second derivative of b(f) wrt f?
-120*f**3
Let i(n) be the third derivative of 11*n**8/336 + 7*n**4/24 + 8*n**2. Find the second derivative of i(x) wrt x.
220*x**3
Let q(n) = n**2 - n + 1. Let m(v) = 3*v**2 - 9*v - 9. Let l(j) = -m(j) + 2*q(j). Let k be l(8). Find the first derivative of 4 + 2 - 4*o**k - 5 + 3*o**3 wrt o.
-3*o**2
Let o(k) = -k + 8. Let v be o(6). Suppose -5*w + 2 = v*p - 7, -1 = -w. Find the second derivative of i - 5*i**2 + 4*i**2 + 0*i**p wrt i.
-2
Let q be (-12)/21 - 1385/(-35). What is the derivative of -1 - q*h**2 + 39*h**2 - 4*h**4 wrt h?
-16*h**3
Let h(v) be the first derivative of -4*v**3 + 16*v + 14. Differentiate h(t) wrt t.
-24*t
Let v(y) be the first derivative of 11*y**6/6 - 23*y**2/2 + 17. What is the second derivative of v(b) wrt b?
220*b**3
Let z(f) = 63*f**4 - 5*f**3 - 5*f + 33. Let w(v) = -32*v**4 + 2*v**3 + 2*v - 17. Let c(i) = -5*w(i) - 2*z(i). Differentiate c(s) wrt s.
136*s**3
Let s(c) be the first derivative of -10*c**3/3 - 25*c**2/2 - 26. Find the second derivative of s(u) wrt u.
-20
Let y(n) be the first derivative of n**5/10 - n**2/2 + 2*n - 3. Let w(r) be the first derivative of y(r). What is the derivative of w(c) wrt c?
6*c**2
Let l be 16/6*12/8. Find the second derivative of 15*w**4 - 5*w**4 - 5*w**l - 4*w wrt w.
60*w**2
Suppose 0 = 2*b - 9 + 5. What is the third derivative of -2*f**b - 5*f - 6*f**2 - 3*f**5 + 5*f wrt f?
-180*f**2
Suppose c + 2*c - 29 = 5*f, -4*c + 16 = -f. Find the second derivative of -7*l**c - 5*l**2 - 7*l + 5*l**2 wrt l.
-42*l
Let i(g) = -g**4 - g**3 - g. Let k(a) = 2*a**4 + 4*a**3 + 7*a**2 + 4*a. Let t(h) = -4*i(h) - k(h). What is the third derivative of t(f) wrt f?
48*f
Let j(t) be the second derivative of t**2 - t + 0*t**3 - 1/5*t**6 + 0*t**4 + 0*t**5 + 0. Differentiate j(i) wrt i.
-24*i**3
Let n = -10 + 16. Suppose -z - 7*x = -4*x - n, 4*z + x = 13. Find the second derivative of 4*q + q**2 + 0*q**2 + q**z - q**2 wrt q.
6*q
Let g(a) be the second derivative of -a**5/12 - 7*a**3/6 - 2*a**2 + 11*a. Let p(u) be the first derivative of g(u). Differentiate p(k) wrt k.
-10*k
What is the second derivative of -25*r**3 + 25*r**3 + 13*r**5 + 2*r**5 - 14*r wrt r?
300*r**3
What is the derivative of 4*x**2 + x**2 - 5 + 0 + 3 wrt x?
10*x
Let p(k) be the second derivative of -k**3/6 + 3*k**2/2 - 4*