0*o**2
Suppose 0*o - 5*o + 25 = 0. Let v(j) be the first derivative of 1 + 0*j**4 - 1/5*j**o + 0*j + 0*j**2 + 2/3*j**3. Find the third derivative of v(x) wrt x.
-24*x
Let s(z) be the third derivative of 19*z**6/120 - 14*z**3/3 - 14*z**2. Differentiate s(b) wrt b.
57*b**2
Suppose 3*p - 3 = -3*l + 15, -l + 5 = 2*p. Let d(b) = -8*b + 2. Let h(t) = 7*t - 1. Let z(w) = l*h(w) + 6*d(w). Find the first derivative of z(x) wrt x.
1
Let l(c) be the third derivative of -5*c**9/504 + 7*c**5/30 - 19*c**2. Find the third derivative of l(h) wrt h.
-600*h**3
Find the second derivative of 5*x + 3 - 16*x + 12*x**4 - 3 wrt x.
144*x**2
What is the third derivative of 17*s**2 + 7*s**6 - 20*s**2 - 10*s**2 wrt s?
840*s**3
Let p(u) = 20*u**4 - 3*u**3 + 3*u**2 + 8*u. Let x(n) = n**4 - n**3 + n**2 + n. Let g(w) = p(w) - 3*x(w). Find the second derivative of g(l) wrt l.
204*l**2
What is the first derivative of -5*d - 6*d + 4 + 3*d wrt d?
-8
Let a(t) = -3*t - 4. Let y be a(-3). What is the third derivative of 3*f**2 + 0*f**5 + 2*f**y + f**5 - 6*f**2 wrt f?
180*f**2
Let n(d) be the second derivative of d**3 + 7*d**2 + 11*d. Differentiate n(t) with respect to t.
6
Suppose 0 = 4*v - 2 - 6. Find the third derivative of -26*t**v + 9*t**4 - 29*t**2 + 54*t**2 wrt t.
216*t
Let i(o) be the first derivative of 0*o**2 + 4 + 0*o**4 + 2/3*o**3 + 0*o + 1/6*o**6 + 0*o**5. Find the third derivative of i(p) wrt p.
60*p**2
Suppose -z + 0*z + 15 = 0. Suppose -5*k - 21 = -4*h, -5*h = -0*h + 5*k - z. Differentiate 1 - 5 + h*m**4 - m**4 - 5*m**4 wrt m.
-8*m**3
Let a(i) = 3*i - 1. Let g be a(2). What is the second derivative of 2*m + 0*m + g*m**3 - m**3 wrt m?
24*m
Let d(u) be the second derivative of -u**7/42 + u**3 + 8*u. What is the second derivative of d(j) wrt j?
-20*j**3
Let w(l) = -l**3 + 3*l**2 + 5*l - 2. Let j be w(4). Find the third derivative of u**j + 2*u - 4*u + u**4 + 2*u wrt u.
24*u
Let q(h) be the first derivative of 0*h + 5/3*h**3 + 3/2*h**2 - 3. Find the second derivative of q(s) wrt s.
10
Let m(i) = 3*i**2 - 4*i - 6. Let p(h) = 7*h**2 - 9*h - 13. Let t be (0 - -5) + -1 + 2. Let q(o) = t*p(o) - 13*m(o). What is the second derivative of q(x) wrt x?
6
Let j(f) be the first derivative of f**6/180 - f**4/8 + f**3 + 2. Let c(y) be the third derivative of j(y). What is the derivative of c(k) wrt k?
4*k
Suppose 4*m - 9 = 3. Let d(i) be the first derivative of 2/3*i**m - 2 + 1/3*i**6 + 0*i + 0*i**2 + 0*i**4 + 0*i**5. Find the third derivative of d(p) wrt p.
120*p**2
Let y(u) be the third derivative of -u**9/72 + 19*u**5/60 + 4*u**2. Find the third derivative of y(h) wrt h.
-840*h**3
Let j(k) = k**3 - k**2. Suppose -5 = 3*s - 2. Let d(m) = -10*m**3 + m**2. Let a(h) = s*d(h) - 6*j(h). What is the third derivative of a(l) wrt l?
24
Let f(y) = 8*y**4 + 6*y**3 - 6*y**2 - 5*y + 6. Let w(i) = -i**4 - i**3 + i**2 + i - 1. Let m(g) = f(g) + 6*w(g). Find the second derivative of m(u) wrt u.
24*u**2
Let c(q) be the third derivative of 1/112*q**8 + 0 - 2*q**2 - 1/20*q**5 + 0*q**6 + 0*q**3 + 0*q**7 + 0*q**4 + 0*q. Find the third derivative of c(g) wrt g.
180*g**2
Let r(f) = -f**3 + f. Let x(j) = -2*j**4 + 3*j**3 - 19*j**2 - 4*j - 13. Let b(m) = -3*r(m) - x(m). Find the second derivative of b(a) wrt a.
24*a**2 + 38
Let p(g) = -4*g**4 - 11*g**3 - 11*g + 1. Suppose 0 = -5*i + 95 - 40. Let m(z) = 2*z**4 + 6*z**3 + 6*z. Let l(j) = i*m(j) + 6*p(j). Differentiate l(c) wrt c.
-8*c**3
Let f = -3 - -5. Let b(t) = 2*t**2. Let m be b(1). Find the third derivative of 3*k**4 - 3*k**f - 5*k**4 + k**m wrt k.
-48*k
Let f(o) = 8*o**3 + o**2 - 5*o - 4. Let s(q) = 8*q**3 + q**2 - 4*q - 4. Let t(b) = 4*f(b) - 5*s(b). Find the first derivative of t(x) wrt x.
-24*x**2 - 2*x
Let g(n) = -18*n**2 - 9*n. Let x(b) = 37*b**2 + 19*b. Let f(p) = -9*g(p) - 4*x(p). What is the second derivative of f(z) wrt z?
28
Let q(s) be the third derivative of -7*s**6/60 + 7*s**5/30 + 6*s**2. What is the third derivative of q(o) wrt o?
-84
Suppose -5*a + 21 = -y, 0*y + 3*a - 11 = y. Find the third derivative of 2 - 6*u**2 + 2*u**y + 3*u**2 - 2 wrt u.
48*u
Let g(z) be the second derivative of 0 + 7*z - 1/3*z**4 - 5/2*z**2 + 0*z**3. Differentiate g(x) wrt x.
-8*x
Let d(n) = -n**2. Let i(f) = -f**3 - 5*f**2 + 7*f - 8. Let s(k) = 2*d(k) + i(k). Let p be s(-8). Find the first derivative of -2*t - 1 + 2 + p wrt t.
-2
What is the first derivative of 7*q**2 - 3*q**2 - 8 - 14 wrt q?
8*q
Let j(m) be the first derivative of 1/2*m**6 + 3 + 0*m + 2/3*m**3 + 0*m**2 + 0*m**5 + 0*m**4. What is the third derivative of j(w) wrt w?
180*w**2
Let x be 2 - 3 - 6/(-2). Suppose 3*w + 4 = -3*u - 2*u, 4*w + 2*u = 4. Find the third derivative of x*s**4 + 2*s**w - s**4 + 0*s**4 wrt s.
24*s
Let c(w) = -17*w**4 - 9*w**2 - 5*w + 5. Let y(f) = 25*f**4 + 13*f**2 + 8*f - 8. Let k(s) = 8*c(s) + 5*y(s). Find the third derivative of k(r) wrt r.
-264*r
Suppose 25 = 3*q + 2*q. Find the first derivative of 13 - q - 4*w**3 + 10*w**3 wrt w.
18*w**2
Let u(h) = 2*h - 11. Let m(l) = -l + 6. Let v(d) = 5*m(d) + 3*u(d). Let r be v(5). Find the first derivative of 15*x**r - x**3 - 15*x**2 - 2 wrt x.
-3*x**2
Let o(s) be the third derivative of 3*s**2 + 0 + 0*s**5 + 1/60*s**6 + 0*s**4 + 0*s - 1/2*s**3. What is the derivative of o(h) wrt h?
6*h**2
Let h(k) = -k + 14. Let a be h(13). What is the derivative of -a + 33*g**2 - 29*g**2 + g - g wrt g?
8*g
Suppose 0 = 10*n - 13*n + 6. What is the third derivative of -9*i**4 + 27*i**2 - 32*i**n + 2*i**4 wrt i?
-168*i
Let i(c) = 12*c**4 - 3*c**3 - 3*c**2 - 23*c. Let u(n) = 12*n**4 - 2*n**3 - 2*n**2 - 23*n. Let m(p) = -2*i(p) + 3*u(p). Find the second derivative of m(g) wrt g.
144*g**2
Suppose 0 = 3*d - 6*d + 21. Let m = d - 5. What is the third derivative of o**m - 4*o**5 + 4*o**5 + 3*o**6 wrt o?
360*o**3
Let q(l) = -9*l + 1. Let n(u) = -55*u + 5. Let b be 2/7 - (-90)/(-21). Let j(w) = b*n(w) + 25*q(w). What is the first derivative of j(i) wrt i?
-5
Let k(s) be the third derivative of 0 + 0*s**5 + 0*s**6 - 7*s**2 - 1/3*s**4 + 0*s**7 + 0*s**3 + 0*s + 1/168*s**8. Find the second derivative of k(r) wrt r.
40*r**3
Suppose 3*f = 20 - 5. Suppose 0 = -0*m + 2*m. Differentiate f*l - 3*l + 2 + m*l wrt l.
2
Let g(n) = -n**3 + n - 1. Let w(o) = 24*o**3 + 23*o**2 - 2*o + 2. Let k(q) = -2*g(q) - w(q). Find the third derivative of k(x) wrt x.
-132
Let m(n) be the third derivative of 3*n**7/70 - n**4/12 - n**2. Find the second derivative of m(q) wrt q.
108*q**2
Find the third derivative of -5*y**2 - 12*y**4 + 7*y**2 - y**2 wrt y.
-288*y
Let l(r) be the first derivative of -r**8/28 - r**4/3 - 2*r + 2. Let k(y) be the first derivative of l(y). What is the third derivative of k(w) wrt w?
-240*w**3
Let y(m) be the first derivative of 0*m**3 - 3/2*m**2 - 3 - 1/4*m**4 + 0*m. Find the second derivative of y(r) wrt r.
-6*r
Let u(j) be the first derivative of 13*j**6/6 - 19*j**3/3 - 5. Find the third derivative of u(t) wrt t.
780*t**2
Suppose -4*g + 0*g + 145 = 5*y, 3*y - 5*g = 124. Differentiate -y + 0*l**4 + 25 - 3*l**4 wrt l.
-12*l**3
Let u(v) be the third derivative of 0 + 0*v**4 - 1/2*v**3 + 4*v**2 + 1/12*v**5 + 0*v. What is the first derivative of u(a) wrt a?
10*a
Let p(v) be the first derivative of -5*v**4/2 + 3*v**3 + 10. What is the third derivative of p(s) wrt s?
-60
Suppose 2*r = r + 3. What is the second derivative of -v**4 + 5*v**4 + 0*v**4 + r*v - 5*v wrt v?
48*v**2
Let x(o) be the first derivative of -2/7*o**7 + 7/3*o**3 - 5 + 0*o**4 + 0*o**5 + 0*o + 0*o**6 + 0*o**2. Find the third derivative of x(y) wrt y.
-240*y**3
What is the third derivative of -2*q - 2*q**2 + 13*q**6 + 2*q + 5*q**6 wrt q?
2160*q**3
What is the second derivative of -12*v + 52 + 8*v**2 - 52 wrt v?
16
Find the second derivative of -2*n**3 - 25*n - n**3 - 2*n**3 wrt n.
-30*n
What is the third derivative of -17*c + 17*c + 8*c**4 + 2*c**2 - 9*c**2 wrt c?
192*c
Let c(k) be the second derivative of -3*k**5/4 - 11*k**4/6 + 24*k. What is the third derivative of c(v) wrt v?
-90
Differentiate 2*h**2 - 2*h**2 - 25*h**4 - 13 - 1 with respect to h.
-100*h**3
Let n(r) be the third derivative of -49*r**5/60 - 31*r**4/24 - 33*r**2. What is the second derivative of n(j) wrt j?
-98
Find the third derivative of -93*o**2 - 6*o**4 + 13*o**4 + 98*o**2 wrt o.
168*o
Suppose -i + 6*i = 0. What is the second d