) wrt b.
-120*b**2
Suppose 4 - 6 = -f. What is the third derivative of 3*i**5 + 0*i**f + 4*i**2 - 3*i**2 + 3*i**2 wrt i?
180*i**2
Let j(d) = 22*d**5 + 7*d**2 - 6*d + 6. Let l(t) = -23*t**5 - 7*t**2 + 5*t - 5. Let z(w) = -5*j(w) - 6*l(w). What is the third derivative of z(r) wrt r?
1680*r**2
Let w(n) = -n**2 + 4*n + 7. Let r be w(5). Find the second derivative of 0*s - 5*s + 6*s**2 - 5*s**r wrt s.
2
Suppose -2*v - 3*v = -10. Find the first derivative of -5*l**3 + 3 + 2*l**3 + v - 3 wrt l.
-9*l**2
Suppose 2*i - 2 - 8 = 0. Suppose o - 2*u = -2*o + 23, -i*o - u = -21. Find the second derivative of 3*b**o - b**5 + 4*b - 3*b wrt b.
40*b**3
Let f be (-10)/(-4)*(-1 + 3). What is the second derivative of -d - 4*d**f + d**5 + 0*d + d**5 wrt d?
-40*d**3
Find the second derivative of 17*i + 4*i**2 - 23*i - 3*i**2 wrt i.
2
Suppose -o + 5*o = 4. Let t(u) = u**3 - 1. Let z(d) = 5*d**4 - 3*d**3 - 8*d + 3. Let n(g) = o*z(g) + 3*t(g). Find the second derivative of n(p) wrt p.
60*p**2
Let o(b) be the third derivative of -b**7/70 - b**4/6 - 20*b**3/3 + 2*b**2 - 16. What is the derivative of o(v) wrt v?
-12*v**3 - 4
Let z(r) = -14*r**4 - 13*r**2 + 3*r + 3. Let m(g) = 14*g**4 + 14*g**2 - 2*g - 2. Let h(w) = 3*m(w) + 2*z(w). Find the third derivative of h(n) wrt n.
336*n
Let i(k) be the first derivative of -3*k**5/20 + k**4/12 - k - 2. Let s(w) be the first derivative of i(w). What is the third derivative of s(l) wrt l?
-18
Find the first derivative of -4*g**4 + 9*g**4 - 13 + 8*g**4 wrt g.
52*g**3
Let u(h) be the first derivative of -7*h**4/4 - 4*h + 6. Differentiate u(r) wrt r.
-21*r**2
Let q(t) be the second derivative of 2*t**4 + 2*t**2 - 5*t. Find the first derivative of q(r) wrt r.
48*r
Let p(c) be the second derivative of -c**10/10080 + c**7/252 - c**4/12 - 4*c. Let n(w) be the third derivative of p(w). Find the third derivative of n(q) wrt q.
-180*q**2
Let o(m) = -m**2 - 3*m + 1. Let p be o(-2). What is the third derivative of 2*a**6 + 0*a**2 + p*a**2 + a**6 wrt a?
360*a**3
Let i(m) be the third derivative of -m**8/420 - m**6/180 - m**3/6 - 3*m**2. Let j(v) be the first derivative of i(v). Find the third derivative of j(g) wrt g.
-96*g
Let i(x) be the first derivative of 4*x**3 - 5*x**2/2 + 3*x - 31. What is the second derivative of i(k) wrt k?
24
Suppose -7*z + 8 = -3*z. Find the third derivative of z*n**2 + 2*n**4 + 0*n**4 + 2*n**4 + 4*n**2 wrt n.
96*n
Find the second derivative of 3*t**5 + 8*t**5 + 3*t**5 + 3*t + 0*t wrt t.
280*t**3
Let r(v) = 12*v**2 - 18*v + 12. Let g(c) = c**2 + c + 1. Let s(y) = 18*g(y) + r(y). What is the derivative of s(m) wrt m?
60*m
Let z(p) be the first derivative of 9*p**5/5 - 9*p**2/2 - 16. Find the second derivative of z(a) wrt a.
108*a**2
Let x(g) = -19*g**3 - 5*g**2 - 5*g - 1. Let j(h) = 10*h**3 + 3*h**2 + 3*h. Let p(l) = 5*j(l) + 3*x(l). What is the derivative of p(s) wrt s?
-21*s**2
Let m(q) = 9*q**5 + 6*q**4 + 6*q**3 + 5*q. Let n(y) = -10*y**5 - 7*y**4 - 7*y**3 - 6*y. Let k(r) = -7*m(r) - 6*n(r). Find the second derivative of k(a) wrt a.
-60*a**3
Let v(i) be the first derivative of 2/3*i**3 - 2 - 3*i**2 + 0*i. Find the second derivative of v(x) wrt x.
4
Let n(b) = 3*b - 3. Let v be n(2). Differentiate 4 + s**v + 2*s**3 - 1 with respect to s.
9*s**2
Let s(m) = -6*m + 7. Let c(o) = -5*o + 6. Let l(p) = 5*c(p) - 4*s(p). What is the first derivative of l(k) wrt k?
-1
What is the derivative of 2 - 5 + 3 - 2*a + 2 wrt a?
-2
Let c = -1/47 + 53/282. Let m(g) be the second derivative of -c*g**3 + g**2 + g + 0. What is the derivative of m(d) wrt d?
-1
Let s(n) be the third derivative of 0*n - 1/6*n**3 + 0*n**5 + 1/42*n**7 + 0 + 0*n**4 - n**2 + 0*n**6. Differentiate s(k) with respect to k.
20*k**3
Find the second derivative of -5*o + 2*o**2 - 5*o**2 - 2*o wrt o.
-6
Let x(s) = s**3 + 4*s**2 - 5*s + 6. Let b be x(-5). Let l = 9 - b. Differentiate -l + a - 3 - 3 + 7 wrt a.
1
Let q(n) be the third derivative of -n**6/72 + 7*n**4/24 + n**3/6 - n**2. Let b(g) be the first derivative of q(g). Differentiate b(y) wrt y.
-10*y
Suppose 0*c = -4*c. Let j(x) be the third derivative of 0*x**4 + 0 - 3*x**2 + c*x - 1/120*x**6 + 1/3*x**3 + 0*x**5. What is the first derivative of j(r) wrt r?
-3*r**2
Let x = -20 + 28. Let w be (2/(-1))/((-8)/x). Differentiate 2 - 6*z**2 - 5 - z**w + 5*z**2 wrt z.
-4*z
Differentiate -2*w - 3*w + 6 + 7 - 5 wrt w.
-5
Let d(l) = -l**2 - 4*l + 4. Let w be d(-4). What is the second derivative of 3*k + 3*k**w - 5*k + 4*k wrt k?
36*k**2
Let l = 5 - 3. Let t = 1 + l. Differentiate -1 + t + d**3 - 3*d**3 wrt d.
-6*d**2
Let r(m) = 24*m + 11. Let w(i) = 145*i + 65. Let n(y) = 25*r(y) - 4*w(y). Differentiate n(q) with respect to q.
20
Let j(i) be the second derivative of -37*i**6/30 + 59*i**4/12 + 20*i. What is the third derivative of j(r) wrt r?
-888*r
Let h(o) be the second derivative of o**7/105 - o**3/2 + o**2 - o. Let a(n) be the first derivative of h(n). Differentiate a(p) wrt p.
8*p**3
Let p(d) be the second derivative of 0*d**5 + 0*d**3 + 0 + 0*d**2 - 3*d - 2/15*d**6 - 1/12*d**4. What is the third derivative of p(w) wrt w?
-96*w
Let s(u) = u**2 - u. Let r(j) = 11*j**2 - 4*j. Let p(h) = -5*r(h) + 15*s(h). Find the second derivative of p(y) wrt y.
-80
Let q(o) be the first derivative of 26*o**7/7 - 10*o**3/3 - 11. Find the third derivative of q(z) wrt z.
3120*z**3
Let o(k) be the second derivative of k**4/12 - 2*k**3/3 - k**2 + k. Let w be o(5). What is the first derivative of -1 - w + 34*z**4 - 33*z**4 wrt z?
4*z**3
Let m(b) = -b**4 - b**3 + b**2 + b. Let i(a) = -9*a**5 + 4*a**4 + 4*a**3 - 4*a**2 + 7*a. Let h(l) = -i(l) - 4*m(l). Find the second derivative of h(w) wrt w.
180*w**3
Let w(k) be the second derivative of 4*k**4 - 59*k**3/6 - 38*k. What is the second derivative of w(f) wrt f?
96
Suppose 0 = 5*w - 7 - 8. Suppose w*o + 6 = 6*o. Find the third derivative of 0*g**o - 5*g**2 + g**4 + 2*g**2 wrt g.
24*g
Let m(k) = k + 2. Let s(q) = -q - 2. Let g(j) = 4*m(j) + 5*s(j). Let d(c) = 3*c + 4. Let p(n) = 2*d(n) + 5*g(n). Differentiate p(l) with respect to l.
1
Let i be ((-20)/25)/((-1)/5). Suppose 4*u - a - 1 = 0, 2*a - i*a = -4*u + 2. What is the first derivative of -1 - s + 0*s + u wrt s?
-1
Let d(j) = j - 3 + 0 - 4 + 2. Let l be d(7). Find the first derivative of o**2 + 5*o**2 - 3*o**l - 1 wrt o.
6*o
Suppose 0 = -0*l + 4*l - 80. Suppose 2*p - l = 3*j, -p + 4*j + 28 = 2*p. Differentiate -p*b**2 + 0*b**2 - 1 + 6*b**2 wrt b.
4*b
What is the third derivative of 0*f**2 - 46*f**4 + 5*f**2 + 58*f**4 wrt f?
288*f
Let l(v) be the first derivative of v**5/60 + v**4/8 + 2*v**2 + 2. Let x(a) be the second derivative of l(a). What is the second derivative of x(b) wrt b?
2
Let x(k) be the second derivative of 5*k**7/14 - k**3/3 + 18*k. Find the second derivative of x(t) wrt t.
300*t**3
Let v(l) be the second derivative of -13*l**6/15 + l**5/10 + 25*l**2/2 - 4*l. What is the derivative of v(u) wrt u?
-104*u**3 + 6*u**2
Let u(p) = -5*p**2 + 2*p + 4. Let v(w) = -14*w**2 + 6*w + 11. Let j = -13 + 9. Let f(m) = j*v(m) + 11*u(m). What is the second derivative of f(a) wrt a?
2
Let l be 1/((0 - -3)/15). What is the second derivative of -6*d + 258*d**5 - 252*d**l - 2*d wrt d?
120*d**3
Suppose a + 2 = -2*a + 4*i, 0 = -4*a - 2*i - 10. Let l be (a/3)/(2/(-6)). Differentiate 2 + 3*z**l + 0 + 1 with respect to z.
6*z
Suppose x - 5*b = 5*x - 18, -2*b + 4 = 0. Find the third derivative of r**2 + 6*r**5 + 3*r**x - 3*r**5 wrt r.
180*r**2
Let p(j) = -j**5 - 9*j**3 - j**2 + 9. Let g(o) = -o**5 - 4*o**3 + 4. Let n(x) = -9*g(x) + 4*p(x). Find the third derivative of n(u) wrt u.
300*u**2
Let p(h) = -h**3 + h**2. Let g be p(1). What is the derivative of g*t - 3*t - 2 - 1 wrt t?
-3
Find the third derivative of 10*m**2 - 47*m**3 + 29*m**3 - 10*m**3 wrt m.
-168
Suppose 5*q = -3*g + 68, 3*g + 38 - 2 = 3*q. What is the third derivative of -q*x - 4*x**4 + 13*x - 4*x**2 wrt x?
-96*x
Let y(z) = -44*z**4 + 42*z. Let g(m) = 15*m**4 - 14*m. Let c(q) = 7*g(q) + 2*y(q). What is the second derivative of c(b) wrt b?
204*b**2
Suppose -4*q + 3 = -5. What is the second derivative of -r - 3*r**q + 0*r + 5*r**2 - r**2 wrt r?
2
Let w(v) = v**2 - 3*v - 2. Let d be w(4). Let r = -6 - -8. Find the third derivative of -r*f**3 - d*f**2 + f**2 + 0*f**2 wrt f.
-12
Suppose 2 = z - 0. 