ve of t(i) wrt i.
-1
Let z(p) = p**6 - p**5 - p**2 + p + 1. Let c(g) = 5*g**6 - 3*g**5 + 3*g + 3. Let b(x) = c(x) - 3*z(x). Find the third derivative of b(m) wrt m.
240*m**3
Let s(r) be the third derivative of r**6/15 + 5*r**4/24 + 4*r**2. What is the second derivative of s(t) wrt t?
48*t
Let n(r) = 16*r**5 - 4*r**3 - r**2. Let d(y) = -32*y**5 + 7*y**3 + 3*y**2. Let p(w) = -4*d(w) - 7*n(w). Find the third derivative of p(b) wrt b.
960*b**2
Let t(f) be the third derivative of 0 + 1/210*f**7 + 1/60*f**5 + 2*f**2 + 0*f**4 + 0*f + 0*f**3 + 0*f**6. Find the third derivative of t(j) wrt j.
24*j
Find the second derivative of 8*f + 4*f**2 + 5*f**2 - 12*f**2 wrt f.
-6
Suppose -l + 4*x - 9 = 0, x - 15 = -2*l - 2*x. Let i(y) be the first derivative of 0*y**l - 1/2*y**4 + 0*y**2 + 2 - y. Find the first derivative of i(n) wrt n.
-6*n**2
Let s(k) be the third derivative of k**4/12 + 4*k**3/3 + 11*k**2. What is the first derivative of s(a) wrt a?
2
Let n(j) be the second derivative of j**4/6 - j**3/6 - 2*j**2 + 4*j. Let o(t) be the first derivative of n(t). Find the first derivative of o(x) wrt x.
4
Let v = 0 + 8. Suppose -v - 1 = -3*y. What is the second derivative of -2*m - y*m - m**4 + m wrt m?
-12*m**2
Let u(m) be the first derivative of -1/3*m**3 + 0*m + 0*m**2 - 1/5*m**5 + 0*m**4 + 2. Find the third derivative of u(c) wrt c.
-24*c
Let i = 3 - 7. Let w(t) = 7 - 2*t**2 - 2*t + t + 3*t - t. Let h(n) = n**2 - n - 4. Let l(x) = i*w(x) - 7*h(x). What is the second derivative of l(f) wrt f?
2
Let d(x) = -4*x - 8. Let l be d(12). Let h be 2/10 - l/20. What is the third derivative of -h*i**6 - i**2 + 3*i**6 - 4*i**6 wrt i?
-480*i**3
Let g(i) be the first derivative of -i**6/90 - i**5/24 + i**3/3 - 2. Let o(r) be the third derivative of g(r). What is the second derivative of o(j) wrt j?
-8
Find the third derivative of -b**5 - 3*b**5 - 3*b**5 - 10*b**2 wrt b.
-420*b**2
Let o(l) = 2*l - 2. Let p be o(2). Find the second derivative of -p*d - 2*d - 3*d**3 + 11*d wrt d.
-18*d
Let v(d) = -25*d - 2. Let n(c) = 99*c + 6. Let a(u) = -6*n(u) - 22*v(u). Differentiate a(x) with respect to x.
-44
Find the third derivative of -5*d**2 - 8*d**2 - 5*d**6 + 14*d**6 wrt d.
1080*d**3
Let x(y) = -y**3 - y**2. Let h(v) = -10*v**3 + 9*v**2. Let g(p) = -3*h(p) - 21*x(p). What is the third derivative of g(z) wrt z?
306
Let m(v) be the first derivative of 0*v**4 - 2/5*v**5 + 0*v**3 + 0*v - 3 + 1/2*v**2. Find the second derivative of m(d) wrt d.
-24*d**2
Let n be (-1 + 0/3)*0. Suppose 20 = 5*i - n*i. What is the third derivative of -3*t**5 + i*t**5 - t**2 - 2*t**5 wrt t?
-60*t**2
Let v(k) be the first derivative of -k**6/60 + k**4/8 + k**2 - 2. Let s(a) be the second derivative of v(a). What is the second derivative of s(r) wrt r?
-12*r
Let n(i) be the first derivative of i**8/56 - i**4/4 - 4*i - 3. Let p(m) be the first derivative of n(m). What is the third derivative of p(t) wrt t?
120*t**3
Let l(i) be the third derivative of 0 + 0*i + 9*i**2 + 0*i**3 - 3/8*i**4 - 1/12*i**5. What is the second derivative of l(a) wrt a?
-10
Let k(x) = x**5 + x**4 + x**3. Let a(i) = -16*i**6 + 5*i**5 + 5*i**4 + 5*i**3 - 17*i**2. Let l(w) = a(w) - 5*k(w). Find the third derivative of l(n) wrt n.
-1920*n**3
Let w(i) = -i**4 + i**3 + i**2 + 1. Let d(x) = -2*x**4 + 6*x**3 + 16*x**2 + 6. Let c(y) = d(y) - 6*w(y). What is the third derivative of c(s) wrt s?
96*s
Let j(r) = -r**3 + r**2 + r + 1. Let p be j(-1). What is the second derivative of -3*o**2 + 2*o**2 - o + p*o**2 wrt o?
2
Let h be 6/2 - (3 - 1). Let l = 2 - h. Find the first derivative of -3*k - k**2 + k + 2*k - l wrt k.
-2*k
Find the first derivative of -24*h**3 + 3 + 11 - 1 + 14*h**3 wrt h.
-30*h**2
Let k be (-6)/((-1)/((-2)/(-4))). Find the second derivative of 0*t + t - t**k + t + 5*t**3 wrt t.
24*t
Let k(a) be the third derivative of 1/15*a**6 - 2*a**2 + 1/15*a**5 + 0 + 0*a**3 + 0*a + 0*a**4. What is the third derivative of k(o) wrt o?
48
Let y be 11 + -8*(-1)/(-2). Find the third derivative of -a**4 - y*a**4 + 6*a**2 + 6*a**4 - 6*a**4 wrt a.
-192*a
Let n be (-22)/(-6) + 1/3. Let w(r) = r**2 - 6*r + 7. Let d be w(5). What is the first derivative of -t**4 - 3 + 2*t**4 - d*t**n wrt t?
-4*t**3
Find the second derivative of -70*v**5 - v + 63*v**5 + 3*v wrt v.
-140*v**3
Let v(w) be the first derivative of -18*w**5/5 + 3*w + 12. Find the first derivative of v(f) wrt f.
-72*f**3
Find the second derivative of 17*b**5 + 614*b**4 - 614*b**4 - 33*b wrt b.
340*b**3
What is the derivative of -3*v + 7 + 35*v**4 - 29*v**4 + 3*v wrt v?
24*v**3
Let v(o) be the second derivative of -o**9/7560 - o**7/630 + o**4/4 + 3*o. Let b(m) be the third derivative of v(m). Find the third derivative of b(k) wrt k.
-48*k
Let j = 14 - 0. Suppose -5*a + 3*w = -18, a - 2*w + 4*w - j = 0. Differentiate 0 - s**4 + 2 + 5 - a wrt s.
-4*s**3
Let c = -6 + 12. Find the third derivative of 6*l**c - 5*l + 5*l + 6*l**2 wrt l.
720*l**3
Let y(h) be the second derivative of h**6/120 + h**5/120 + h**3/2 - 2*h. Let q(g) be the second derivative of y(g). What is the second derivative of q(d) wrt d?
6
Let m(r) be the third derivative of -3*r**2 + 0*r**4 - 1/168*r**8 + 7/60*r**5 + 0*r + 0*r**6 + 0 + 0*r**7 + 0*r**3. What is the third derivative of m(v) wrt v?
-120*v**2
Let r = 2 - 1. Let z be 0 - (1 - (r - -2)). Find the first derivative of -1 + d + z*d + 3 wrt d.
3
Let t(r) be the second derivative of 9*r**5/10 + r**3/6 + 6*r. Find the second derivative of t(m) wrt m.
108*m
Let f(n) be the second derivative of 0*n**6 + n + 0*n**3 - 3/28*n**8 + 0*n**5 + 0 + 0*n**2 + 0*n**7 - 1/12*n**4. What is the third derivative of f(d) wrt d?
-720*d**3
Let l(x) = 49*x + 24. Let n(k) = -97*k - 50. Let y(a) = -5*l(a) - 3*n(a). What is the first derivative of y(m) wrt m?
46
Let s(u) = -4 + 9 - 3*u**3 + 4*u**3 - 3*u - 4*u**2 - 3*u. Let j be s(5). Find the second derivative of 3*p**4 + p**3 + p + j*p**3 - p**3 wrt p.
36*p**2
What is the derivative of 4 + 15 + 31*k**2 - 14*k**2 wrt k?
34*k
Let f(x) be the first derivative of x**7/280 - x**5/120 - 2*x**3/3 - 2. Let d(n) be the third derivative of f(n). What is the second derivative of d(y) wrt y?
18*y
Let y(o) = 4 + 5*o - 2 - 5. Let v(a) = -2*a - 4*a + 4*a + 1. Let g(f) = 11*v(f) + 4*y(f). Find the first derivative of g(p) wrt p.
-2
Let v be (-4*1)/(12 + -13). Differentiate -v + 3*n - 1 + 1 with respect to n.
3
Let f = -23 - -25. Find the first derivative of -131*j**2 - f + 4*j**3 + 131*j**2 wrt j.
12*j**2
Find the first derivative of 55*j**3 - 66*j**3 - 2 - 1 wrt j.
-33*j**2
Let y(k) be the second derivative of 5/12*k**4 + 0*k**2 - 5*k + 0*k**5 + 0 + 0*k**7 + 0*k**6 - 1/14*k**8 + 0*k**3. Find the third derivative of y(t) wrt t.
-480*t**3
Let z(l) be the second derivative of 4*l**6/15 - 4*l**2 - 9*l. Differentiate z(i) with respect to i.
32*i**3
Let p(g) = g**2 - g - 1. Let t(x) = -5*x**3 - 4*x**2 + 28*x + 4. Let l(n) = -4*p(n) - t(n). Find the second derivative of l(s) wrt s.
30*s
Let p(b) = 25*b**3 + 9*b**2 + 12*b + 9. Let r(h) = 6*h**3 + 2*h**2 + 3*h + 2. Let v(a) = 4*p(a) - 18*r(a). What is the second derivative of v(y) wrt y?
-48*y
Suppose 4*n + 0*s - 2*s = 32, -25 = -5*n - 5*s. What is the second derivative of -n + 7 + 2*x**3 + x wrt x?
12*x
Let s(a) be the second derivative of 7*a**5/20 - 3*a**2/2 + 7*a. What is the derivative of s(n) wrt n?
21*n**2
Let l(r) = r**3 + r**2 + r - 1. Let j(w) = -3*w**4 - 3*w**3 - 3*w**2 - 4*w + 3. Let i(u) = 2*j(u) + 6*l(u). What is the second derivative of i(c) wrt c?
-72*c**2
Suppose 2*l + 2*l = 0. What is the derivative of -2*j**2 - 8 + l*j**2 - 6*j**2 wrt j?
-16*j
Suppose -7*m = -2*m - 10. Find the third derivative of -a**m - a**2 - 4*a**3 + 4*a**3 + 2*a**3 wrt a.
12
Let d(c) = -c**2 - c + 1. Let x be d(1). Let h(b) = 3*b + 13*b + 1 - 5*b. Let v(r) = -r - 1. Let j(k) = x*h(k) - 6*v(k). Differentiate j(z) with respect to z.
-5
Suppose l - 2*p = 8, 4*l + 2*p + 20 = -3*p. What is the third derivative of 2*y**3 + l*y**2 - 2*y**2 + 0*y**2 - y**3 wrt y?
6
Let k(d) = -4*d - 7. Let o(m) = -4*m - 7. Let u = -13 + 8. Let a(w) = u*o(w) + 4*k(w). Find the first derivative of a(l) wrt l.
4
Let y(c) = c**3 - c**2 - 1. Let h(s) = 20*s**5 + 3*s**3 - 16*s**2 - 3. Let f(o) = -h(o) + 3*y(o). What is the third derivative of f(m) wrt m?
-1200*m*