 - 3. Let y(w) = -3*a(w) + 4*t(w). Find the third derivative of y(j) wrt j.
192*j
Let p(q) be the second derivative of q**2 + 4*q + 0 + 0*q**3 + 0*q**4 + 0*q**5 + 1/15*q**6. Differentiate p(v) with respect to v.
8*v**3
Suppose -4*q - 5*k + 70 = -q, -4*q - 2*k + 84 = 0. Suppose s = 5*s - q. What is the second derivative of -f + 0*f**5 + 2*f**s - 2*f wrt f?
40*f**3
Let w(x) = -9*x**3 - 3*x + 12. Let r(t) = t. Let g(d) = 3*r(d) + w(d). What is the derivative of g(z) wrt z?
-27*z**2
Let b(c) be the second derivative of c**7/280 - c**4/12 + c**3/6 - 4*c. Let p(y) be the second derivative of b(y). Differentiate p(t) wrt t.
9*t**2
Let s(q) be the first derivative of -1 + 0*q**3 + 2*q + 0*q**2 + 1/4*q**4. What is the first derivative of s(f) wrt f?
3*f**2
What is the second derivative of -9*r + 10*r**3 - 10*r**3 + 0*r**4 - 5*r**4 wrt r?
-60*r**2
Find the first derivative of -16 + 33*d**3 + 13*d**3 - 69*d**3 wrt d.
-69*d**2
Let d(i) = -i**4 + 9*i**2 + 3. Let n(u) = u**4 - 17*u**2 - 5. Let j be ((-6)/12)/((-3)/18). Let w(r) = j*n(r) + 5*d(r). Find the third derivative of w(k) wrt k.
-48*k
Let u(a) be the first derivative of 0*a**2 - a - 1/6*a**3 + 1/4*a**4 + 4. Let j(q) be the first derivative of u(q). What is the second derivative of j(k) wrt k?
6
Differentiate 11*h**3 + 0 - 2 - 12*h**3 wrt h.
-3*h**2
Let v(l) be the third derivative of 13*l**8/336 + l**6/30 + 7*l**5/30 - 2*l**2 + 14*l. What is the third derivative of v(z) wrt z?
780*z**2 + 24
Let x be ((-9)/(-27))/((-1)/(-9)). Let z(t) be the first derivative of 0*t**2 - 2 - 1/4*t**4 + t + 0*t**x. Differentiate z(j) with respect to j.
-3*j**2
Suppose -3*t - t = x - 505, 4*x - 242 = -2*t. What is the third derivative of t - 127 + 0*i**2 + 6*i**3 - 2*i**2 wrt i?
36
Suppose 0 = -3*u - 0*u + 15. Find the third derivative of 3*a**5 - 4*a**u + 4*a**2 - 5*a**2 wrt a.
-60*a**2
Let g(y) be the second derivative of 5*y**7/21 - y**4/4 - 7*y. What is the third derivative of g(f) wrt f?
600*f**2
Let h(y) be the third derivative of -5*y**8/168 + 13*y**4/24 - 20*y**2. Find the second derivative of h(t) wrt t.
-200*t**3
Find the second derivative of 4*j + 9*j**3 + 3*j**3 - 8*j - j wrt j.
72*j
Let s(d) = d**2 + 1. Let z(w) = -w**2 - 9. Let b = -3 + 2. Let g(r) = b*z(r) - 5*s(r). Differentiate g(i) wrt i.
-8*i
Let w(o) = o**2 + 5*o - 9. Let n be w(-7). Find the third derivative of -7*a**5 + 5*a**6 - 5*a**2 + 7*a**n wrt a.
600*a**3
Let t(l) be the third derivative of -l**7/30 - l**4/6 - 4*l**2. Find the second derivative of t(d) wrt d.
-84*d**2
Let n(j) be the third derivative of -j**8/280 + 5*j**4/24 + 5*j**3/6 - 3*j**2. Let r(f) be the first derivative of n(f). Differentiate r(b) wrt b.
-24*b**3
Let z(h) = -h**3 - 10*h**2 - 8*h + 12. Let c be z(-9). Suppose -c*i + 6*i = 12. What is the derivative of -3 + i*j**3 + 4 - 2*j**3 wrt j?
6*j**2
Let l(f) be the third derivative of -59*f**6/120 + 13*f**5/60 + f**3/2 - 3*f**2 - 1. What is the third derivative of l(i) wrt i?
-354
Let z be ((-24)/15)/(2/(-5)). Suppose -2*s = 3*w - 4 - 3, 2*w = -z*s + 10. What is the derivative of -a - 1 + 2*a**s + a wrt a?
4*a
Let k = 5 - 1. What is the derivative of k*a + 0 + 1 + 0 + 1 wrt a?
4
Let k(g) be the second derivative of g**6/2 - g**4/6 + 11*g. Find the third derivative of k(p) wrt p.
360*p
Let u = 10 - 10. What is the third derivative of u*m - 8*m**5 + 0*m + 11*m**5 - 3*m**2 wrt m?
180*m**2
Let c(f) be the third derivative of -f**6/15 - f**5/12 + 5*f**2. What is the third derivative of c(i) wrt i?
-48
Let b(a) be the first derivative of 14*a**3/3 - 13*a**2/2 - 14. Find the second derivative of b(h) wrt h.
28
Let v(w) be the third derivative of -w**9/3024 + w**6/90 + 2*w**3/3 - w**2. Let a(j) be the first derivative of v(j). Find the third derivative of a(q) wrt q.
-60*q**2
Let a(v) be the first derivative of 7*v**3/3 + v**2 + 7. What is the second derivative of a(c) wrt c?
14
Let z(y) = 36*y + 9. Let o(j) be the third derivative of -7*j**4/24 - j**3/3 - 6*j**2. Let r(x) = 21*o(x) + 4*z(x). Find the first derivative of r(a) wrt a.
-3
Suppose 3*k - s = -9, 0 = -0*s - s + 3. Let l be (-2)/3*(k + -1). Find the first derivative of -2*u**4 + 4*u**2 + 0 + 2 - 4*u**l wrt u.
-8*u**3
Let v(r) = 7*r**4 + 3*r**3 - 3*r**2 - 8. Let y(w) = 6*w**4 + 4*w**3 - 4*w**2 - 7. Let f(h) = -4*v(h) + 3*y(h). What is the derivative of f(b) wrt b?
-40*b**3
Let n(f) be the third derivative of -23*f**7/210 - 35*f**4/24 + 22*f**2. Find the second derivative of n(m) wrt m.
-276*m**2
Let n(i) = 3*i**2 - i - 1. Let q be n(-1). What is the first derivative of -4 + 2*s - 3*s + q*s wrt s?
2
Let w(r) be the second derivative of -r**8/42 - r**5/20 - r**2/2 + 9*r. Let d(a) be the first derivative of w(a). What is the third derivative of d(l) wrt l?
-480*l**2
Let r(u) = 13*u**2 - 12*u - 3. Let p(s) = -26*s**2 + 24*s + 7. Let m(x) = 6*p(x) + 14*r(x). Find the second derivative of m(l) wrt l.
52
What is the derivative of -11*i + 14 - 4 - 7*i + 6*i wrt i?
-12
Find the second derivative of 10*v**4 + 4*v + 23 + 12*v**5 - 11*v**4 - 21 wrt v.
240*v**3 - 12*v**2
Let g(d) = 27*d**3 - 2*d**2 - 17*d. Let r(u) = u**3 - u**2. Let v(f) = -g(f) + 2*r(f). What is the second derivative of v(b) wrt b?
-150*b
Let y(n) be the second derivative of n**6/60 - n**3 - n**2/2 + 2*n. Let j(k) be the first derivative of y(k). What is the derivative of j(q) wrt q?
6*q**2
Let b(r) be the first derivative of -18*r**5/5 - 2*r**3/3 - 23*r**2/2 - 2*r - 20. What is the second derivative of b(y) wrt y?
-216*y**2 - 4
Let j(y) be the second derivative of -y**5/12 - 7*y**3/6 - 3*y**2/2 + y. Let u(t) be the first derivative of j(t). What is the derivative of u(l) wrt l?
-10*l
Let d(t) = 3*t**2 - t. Let u be d(-1). Let g = u + -3. What is the first derivative of -g - 2*f**3 + 0*f + 0*f wrt f?
-6*f**2
Let x = 1/4 + 1/4. Let w(k) be the second derivative of -x*k**2 + 0*k**5 + 0 + 0*k**3 + 2*k + 1/15*k**6 + 0*k**4. Differentiate w(r) with respect to r.
8*r**3
Let i(a) = 7*a**3 + 2*a**2 + 2*a + 16. Let q(f) = 6*f**3 + 3*f**2 + 3*f + 16. Let w(o) = -3*i(o) + 2*q(o). What is the first derivative of w(g) wrt g?
-27*g**2
Suppose 0 + 2 = -3*s + 4*v, 4*s = 3*v + 2. Find the third derivative of 2*r**2 - 7*r**2 + r**5 + s*r**2 wrt r.
60*r**2
Let x be 4/6 - 35/(-15). What is the third derivative of 4*z**3 + 2*z**5 - 3*z**2 - 4*z**x wrt z?
120*z**2
Find the third derivative of -3 - 9*d**2 + 21*d**5 + 3 wrt d.
1260*d**2
Suppose l - 2 = y + 1, -5*y = -15. Find the first derivative of 2 + 7*a - 8*a + a + l*a**2 wrt a.
12*a
Let w(m) be the first derivative of 0*m**2 + 3/4*m**4 + 0*m**3 - m - 1. Differentiate w(z) with respect to z.
9*z**2
Let r(q) be the second derivative of -q**10/1680 + q**6/360 + q**3/2 - q. Let l(x) be the second derivative of r(x). What is the third derivative of l(b) wrt b?
-360*b**3
Let m(i) be the first derivative of i**7/280 - 5*i**4/24 - i**3/3 + 2. Let z(f) be the third derivative of m(f). What is the derivative of z(t) wrt t?
9*t**2
Let w(g) be the third derivative of 0*g**4 + 0 + 0*g + 1/120*g**6 + 0*g**3 - 1/12*g**5 + 6*g**2. Find the third derivative of w(m) wrt m.
6
Let h be 13/(-26) - (-6)/4. Find the first derivative of -11*x + 4 - h + 15*x wrt x.
4
Let s(r) = -12*r**6 + 8*r**5 - 8*r**3 + 4*r**2 + 8*r. Let q(x) = -x**5 + x**3 - x**2 - x. Let d(n) = 8*q(n) + s(n). What is the third derivative of d(c) wrt c?
-1440*c**3
Let k(s) be the second derivative of s**4/8 - s**3/6 + s**2 - 7*s. Let a(v) be the first derivative of k(v). What is the derivative of a(f) wrt f?
3
Suppose 16*z = 20*z. Let k(d) be the second derivative of -2/3*d**3 + d**2 + 2*d + z. What is the derivative of k(c) wrt c?
-4
Find the second derivative of 32*v - 4*v + 4*v**3 + 15*v**3 wrt v.
114*v
Suppose 7*a - 11*a + 40 = 0. Differentiate -8 + 3*n - 2*n + 1 - a*n with respect to n.
-9
Let g(o) be the first derivative of 9*o**5/5 - 5*o**2/2 - 6. Find the second derivative of g(x) wrt x.
108*x**2
Let d(n) = n**2 + n - 2. Let f be d(0). Let j = 2 - f. Find the first derivative of i**j + 3 + 0*i**4 - 1 wrt i.
4*i**3
Let i(f) = 4*f**4 + 5*f**3 + f**2 + 5. Let x = 8 - 5. Let p(c) = 2*c**4 + 3*c**3 + 3. Let b(n) = x*i(n) - 5*p(n). Find the third derivative of b(y) wrt y.
48*y
Let b be (-1)/((4/5)/(-4)). What is the third derivative of k*