*o**2 - 30*o**5 + 13*o**2 - 27*o**5 wrt o.
780*o**2
Let v(t) = -t**3 + t**2 + t. Suppose 4*u + 6 = 5*y - 14, -4 = -3*u - y. Let m be v(u). Differentiate -3*l**2 + 4*l**2 - 1 + m*l**2 with respect to l.
2*l
Let v be -10*(48/(-20) + 2). Differentiate 25*x**v - 18*x**4 - 12*x**4 - 3 with respect to x.
-20*x**3
Let i(o) be the first derivative of 0*o**3 - 1/2*o**2 + 0*o**4 + 0*o + 2 + 1/5*o**5. Find the second derivative of i(w) wrt w.
12*w**2
Let q(s) be the first derivative of -s**2/2 - 10*s + 3. Let r be q(-10). Find the second derivative of 0*f**5 + f**5 + 0*f**5 + r*f**5 - 3*f wrt f.
20*f**3
Let a(i) be the second derivative of i**8/560 - i**6/360 - i**3/6 - 4*i. Let w(y) be the second derivative of a(y). What is the third derivative of w(n) wrt n?
72*n
Differentiate -73 - 15*s**2 - 64 + 117 with respect to s.
-30*s
Let l(r) = r**2 - 4*r + 3. Let t be l(4). Find the first derivative of c**4 + 3 - 23*c**3 + 23*c**t wrt c.
4*c**3
Let g(c) = 2*c**4 - 3*c + 1. Let h(j) = 3*j**4 - 4*j + 1. Suppose 0 = 4*b + b + 20. Let n(q) = b*g(q) + 3*h(q). What is the first derivative of n(w) wrt w?
4*w**3
Let x(g) be the first derivative of 37*g**3/3 + 43*g**2/2 - 11. Find the second derivative of x(n) wrt n.
74
Let k(w) be the first derivative of -6*w**3 - 25*w**2/2 + 12. What is the second derivative of k(n) wrt n?
-36
Suppose 0 = 5*g, 2*g - 25 = -5*k + 4*g. What is the third derivative of -2*a**2 + a**5 + 3*a**2 - 5*a**k wrt a?
-240*a**2
Find the third derivative of -2*m + 2*m**2 + 2*m + 0*m - m**6 wrt m.
-120*m**3
Let k(b) be the second derivative of -b**3/6 + 3*b**2/2 - 4*b. What is the derivative of k(w) wrt w?
-1
Let w(b) be the third derivative of -b**6/120 + 5*b**4/24 - 2*b**3/3 - b**2. Let t(m) be the first derivative of w(m). Differentiate t(f) wrt f.
-6*f
Let o(g) = -23*g**4 + 5*g**3 + 5*g + 49. Let f(r) = 12*r**4 - 3*r**3 - 3*r - 25. Let x(d) = -5*f(d) - 3*o(d). Differentiate x(s) wrt s.
36*s**3
Let h(b) = -b**2 - 7*b - 5. Let l be h(-5). Suppose 10*f = l*f + 10. Find the third derivative of -3*q**6 + q**6 + 0*q**2 - 2*q**2 + q**f wrt q.
-240*q**3
Suppose -3*k = 3*u - 18, -2*u + 6 = -u - 5*k. Suppose 0 = -0*b + 3*b + 2*q - 4, 4*q - u = -5*b. Find the third derivative of f**2 + f**b - f**4 + 2*f**4 wrt f.
24*f
Let i(a) be the second derivative of a**5/10 - a**3/3 - 47*a**2/2 - 31*a. What is the derivative of i(x) wrt x?
6*x**2 - 2
What is the third derivative of -21*l**3 - 5*l**2 - 25*l**3 + 17*l**2 - 7*l**2 wrt l?
-276
Let x(b) be the second derivative of -b**6/15 + b**4/6 + 5*b. Find the third derivative of x(s) wrt s.
-48*s
Let i = -4 + 6. Suppose 4*x = k + 25, 2*k - 8 = -2*x + i. What is the third derivative of h**2 + 0*h**2 + 5*h**x - 3*h**6 wrt h?
240*h**3
Suppose -19*f = -28*f. Let b(o) be the second derivative of -1/20*o**5 + 1/6*o**4 + f*o**3 + 0*o**2 + 0 - 3*o. What is the third derivative of b(t) wrt t?
-6
Let q be (6/(-9))/((-3)/9). Find the second derivative of 3*r**2 - 7*r - 2*r**q + 10*r wrt r.
2
Let h(f) = -f**2 + 3*f**3 - 3*f**3 + 3*f**4 + 2*f**2. Let a(k) = -6*k**4 - 3*k**2. Let n(v) = 2*a(v) + 5*h(v). What is the third derivative of n(c) wrt c?
72*c
Let o(p) = 7*p - 2. Let x(r) = 2*r - 4. Let f be x(4). Let v(y) = -13*y + 3. Let k(q) = f*v(q) + 7*o(q). What is the first derivative of k(j) wrt j?
-3
Let w(y) be the first derivative of 0*y**5 + 0*y - 2 + 0*y**4 + 1/6*y**6 + 0*y**3 + 1/2*y**2. What is the second derivative of w(z) wrt z?
20*z**3
Let w(k) be the first derivative of 2/5*k**5 - 2 + 0*k**4 - k**2 + 0*k + 0*k**3. Find the second derivative of w(j) wrt j.
24*j**2
Let w(y) be the second derivative of -y**7/42 - 2*y**4/3 + 9*y. What is the third derivative of w(n) wrt n?
-60*n**2
Let u = -2 + 6. Let y(i) = i - 1. Let n be y(u). Find the third derivative of 4*l**2 + l - 4*l + 3*l - 3*l**n wrt l.
-18
Find the second derivative of -3*u - 7*u - 4*u**2 - 3*u + 7*u wrt u.
-8
Let u(n) = -5*n**3 + 13*n**2 + 13*n - 5. Let d(i) = -2*i**3 + 6*i**2 + 6*i - 3. Let j(x) = 13*d(x) - 6*u(x). Differentiate j(a) wrt a.
12*a**2
Suppose 2*z + 10 = 7*z. Suppose -z*a + 6 = a. Find the second derivative of 5*w - 2*w**2 + 4*w**2 + w**a - 4*w wrt w.
6
Suppose -9 = 4*m - 3*a, 3*m + 2*m - 12 = -4*a. Let g = 2 - m. Find the second derivative of 2*o + 2*o**2 + g*o**4 - 2*o**2 wrt o.
24*o**2
Let f(o) be the second derivative of 4*o**3 + 10*o**2 - 27*o. Find the first derivative of f(c) wrt c.
24
Let x(b) be the first derivative of -b**4 + 14*b - 7. Let h(d) = -2*d**3 + 7. Let q(a) = 5*h(a) - 3*x(a). What is the first derivative of q(p) wrt p?
6*p**2
Let y(v) = 4*v**2. Let j be y(2). Suppose 0*u = u - 2, -j = -3*w - 2*u. Find the second derivative of 0*t**w + 0*t**4 + 2*t - 2*t**5 wrt t.
-40*t**3
Let i(a) be the first derivative of -12*a**5/5 - 13*a**2/2 + 6. What is the second derivative of i(q) wrt q?
-144*q**2
Let o(c) be the third derivative of c**4/24 + 7*c**3/6 + c**2. Let h be o(-5). What is the derivative of h - 10*a + 10*a - a**2 wrt a?
-2*a
Let p be (-2 + 36/15)/((-6)/(-30)). Let j(l) be the first derivative of 1/2*l**p - 2 - 1/3*l**3 + 0*l. Find the second derivative of j(d) wrt d.
-2
Suppose 19 = -4*h - 33. Let q = -9 - h. Find the second derivative of 2*w**5 + w + w + 6*w**5 - q*w**5 wrt w.
80*w**3
Let c(x) be the first derivative of -22*x**5/5 - 19*x**3/3 + 24. What is the third derivative of c(i) wrt i?
-528*i
Let v(k) = 8*k**3 + 3*k**2 + 12*k - 3. Let z(o) = 1 + 0*o - o**3 + 2*o - o**2 - o - 2*o. Let s(m) = v(m) + 3*z(m). Find the second derivative of s(x) wrt x.
30*x
What is the second derivative of c - 5*c**5 + c**5 + 48*c**2 - 48*c**2 wrt c?
-80*c**3
Suppose -6*g + g = -10. Find the second derivative of -78*k**g - 4*k**4 - 2*k + 78*k**2 wrt k.
-48*k**2
What is the second derivative of 0*y - 5*y + 0*y - 5*y**2 - 2*y**2 wrt y?
-14
Find the second derivative of -17*r**2 + 12*r**4 - 17*r**4 - 2*r + 6*r**4 - 30 wrt r.
12*r**2 - 34
Let o(l) be the second derivative of l**8/168 - l**4/24 - l**2/2 - 3*l. Let m(i) be the first derivative of o(i). Find the second derivative of m(g) wrt g.
40*g**3
Let u = -9 - -37. Find the third derivative of 5*p**2 - u*p + 28*p + 2*p**4 wrt p.
48*p
Find the first derivative of 28 + 87*x**4 - 123*x**4 + 22 wrt x.
-144*x**3
Let c(h) be the first derivative of h**5/5 + 2*h + 2. Find the first derivative of c(s) wrt s.
4*s**3
Let m(o) = o - 5. Let g be m(7). Find the second derivative of -3*a + 4*a + g*a + 5*a**4 wrt a.
60*a**2
Let z(r) = 3*r - 2. Let g be z(2). Let c = 8 - g. What is the third derivative of 7 - o**c + o**2 - 7 wrt o?
-24*o
Let k be -2*1*-1 - -1. Let c = 43 - 41. Find the third derivative of -4*i**2 - 3*i + 5*i**c + k*i - 3*i**4 wrt i.
-72*i
Let p(t) be the third derivative of t**7/210 - t**3/2 - t**2. Differentiate p(c) wrt c.
4*c**3
Let n(d) be the first derivative of 6*d**2 + d + 13. Differentiate n(c) wrt c.
12
Let z(v) = 13*v**2 + 2*v - 16. Let h(m) = 12*m**2 + 3*m - 16. Let o(s) = 2*h(s) - 3*z(s). What is the derivative of o(k) wrt k?
-30*k
Find the third derivative of -5027*k - 39*k**2 - 13*k**4 + 5027*k wrt k.
-312*k
Differentiate 67*x - 31*x + 91 - 38 wrt x.
36
Let d(o) be the first derivative of -2*o**3 + 7*o - 21*o + 5 + 9*o. Find the first derivative of d(b) wrt b.
-12*b
Let i(m) = 4*m - 7. Let h(w) = -8*w + 13. Let y(j) = -3*j**2 + 3*j - 2. Let k be y(1). Let v(g) = k*h(g) - 5*i(g). Find the first derivative of v(p) wrt p.
-4
Let p(t) be the third derivative of -4*t**7/105 - t**4/24 - 9*t**2. What is the second derivative of p(k) wrt k?
-96*k**2
Find the third derivative of n**2 - 166 + 4*n**2 + 167 + 20*n**6 wrt n.
2400*n**3
What is the third derivative of -13*i**6 + 22*i**6 - 3*i**2 - 14*i**6 wrt i?
-600*i**3
Suppose 3*l - 5*h = 4*l - 2, 0 = -l - 3*h + 2. Let m(r) = -17 + l*r - 3*r + 8. Let x(n) = 1. Let d(s) = m(s) + 6*x(s). Find the first derivative of d(p) wrt p.
-1
Let p(d) be the second derivative of -17*d**5/20 - 13*d**4/12 + d**2 + 21*d. Find the third derivative of p(n) wrt n.
-102
Let x(f) = -f**4 - f. Let m(v) = 12*v**4 + 16*v. Let k(i) = -m(i) - 6*x(i). Find the second derivative of k(b) wrt b.
-72*b**2
Let v = -12 - -5. Let o(p) = -p - 4. Let b be o(v). Differentiate -6*l**3 - 2*l**b + 3 + 0 + 5*l**3 with respect to l.
-9*l**2
Let i(j) = j + 7. Let g be i(-5). Differ