. Let n(c) be the first derivative of 1/2*c**4 - 3*c + 0*c**2 + 0*c**v - 1. Differentiate n(u) with respect to u.
6*u**2
Let t(u) be the second derivative of u**6/10 - 5*u**2 - 18*u. Find the first derivative of t(x) wrt x.
12*x**3
Let b(t) be the first derivative of t**8/560 + t**4/8 + t**3 + 1. Let y(s) be the third derivative of b(s). Differentiate y(r) wrt r.
12*r**3
Let x(d) be the second derivative of 0*d**4 + 0*d**2 - 2/21*d**7 + 0*d**5 + d + 0*d**6 + 0 + 1/2*d**3. What is the second derivative of x(n) wrt n?
-80*n**3
Let z(v) = -25*v**2 + 18. Let d(o) = -13*o**2 + 9. Let k(n) = 7*d(n) - 3*z(n). What is the first derivative of k(r) wrt r?
-32*r
Let d(s) be the second derivative of s**5/10 - 2*s**4/3 + s**2 + 4*s + 2. Find the first derivative of d(t) wrt t.
6*t**2 - 16*t
What is the derivative of 3 + 2 - 2*l + 3 wrt l?
-2
What is the third derivative of -2*g + 4*g**3 + 2*g - 3*g**2 + 0*g**2 wrt g?
24
Differentiate -2 + 1 - 5*c - 2 with respect to c.
-5
Let g = -14 - -13. Let s(q) = -q**2 - q. Let a(k) = 6*k**2 - k. Let r(d) = g*a(d) + 2*s(d). What is the second derivative of r(u) wrt u?
-16
Find the third derivative of 3*d**2 - d**2 - 14*d**5 + 2*d**2 + 5*d**5 wrt d.
-540*d**2
Differentiate -9 + 1 + 6*y**2 + 5 - 14 wrt y.
12*y
Let o be 8/36 + (-210)/(-27). Find the first derivative of -13 - 8*h**4 + 4 + o wrt h.
-32*h**3
Let b(s) = 5*s - 3. Let y = -3 + 2. Let o(n) = -n. Let r(c) = y*b(c) - 6*o(c). Differentiate r(d) wrt d.
1
Suppose -5*z + 6 + 4 = 0. Find the second derivative of 3 + z*b**3 + 5*b - 3 + 0*b wrt b.
12*b
Let a(m) = -6*m**3 + m**2 + 3. Let r = 4 - 11. Let v(f) = 13*f**3 - f**2 - 7. Let s(u) = r*a(u) - 3*v(u). Find the third derivative of s(n) wrt n.
18
Let o(y) be the first derivative of -14*y**3/3 + 3*y - 1. Let i(n) = -9*n**2 + 2. Let z(c) = -8*i(c) + 5*o(c). What is the first derivative of z(s) wrt s?
4*s
Let t(c) be the third derivative of 0*c**5 + 1/210*c**7 - 3*c**2 - 1/24*c**4 + 0*c**6 + 0 + 0*c**3 + 0*c. What is the second derivative of t(j) wrt j?
12*j**2
Let s(a) = -1 - 6 + 2*a - 5 + 0*a. Let f be s(8). Differentiate 3*b**4 - f*b**4 - b**4 + 3 with respect to b.
-8*b**3
Let z(q) be the first derivative of q**7/70 - 2*q**5/15 - 4*q**2 - 4. Let k(s) be the second derivative of z(s). What is the third derivative of k(j) wrt j?
72*j
Let i(c) = 4*c - 3*c + 0*c**3 - 7 - 10*c**2 + c**3. Let q be i(10). What is the second derivative of 4*v**4 - 3*v**q + v + 3*v**3 wrt v?
48*v**2
Let n(c) be the third derivative of c**4/12 - 4*c**3/3 - 16*c**2. Find the first derivative of n(o) wrt o.
2
Differentiate 17 + 8 + 2*l**2 + 8 - 16*l**3 - 52 with respect to l.
-48*l**2 + 4*l
Find the second derivative of -5*q**4 - q**4 - 80*q + 72*q wrt q.
-72*q**2
Let p(s) be the second derivative of -s**8/7 + s**4/4 + 7*s. What is the third derivative of p(v) wrt v?
-960*v**3
Let w be 1 + 0 + (2 - 1). Suppose 0 = 4*u - 3*h - 21, 3*h + w*h = u - 18. Find the third derivative of 0*x**3 + 0*x**3 + x**2 - x**u wrt x.
-6
Let d(r) be the first derivative of 3*r**7 - r**3 + 3. Find the third derivative of d(j) wrt j.
2520*j**3
Let y(k) be the second derivative of -k**6/15 - 19*k**4/12 + 34*k. What is the third derivative of y(l) wrt l?
-48*l
Find the second derivative of -25*y + 0*y**2 + 28*y - 6*y**2 wrt y.
-12
Let k = -6 + 9. Differentiate 7*a**k + 3*a**4 - 3 - 7*a**3 wrt a.
12*a**3
Let l = 113 + -113. Let p(z) be the third derivative of l*z + 0*z**3 - 1/15*z**5 - 1/24*z**4 + 3*z**2 + 0. Find the second derivative of p(x) wrt x.
-8
Suppose 6*s - 120 = s. Find the third derivative of -2*w**2 - 2*w**5 + s - 24 wrt w.
-120*w**2
Find the second derivative of -8*y**5 + 10*y - 4 - 4*y + 10*y**5 - 28*y**3 wrt y.
40*y**3 - 168*y
Let a(m) be the first derivative of -7*m**3/3 + 15*m**2/2 - 10. What is the second derivative of a(i) wrt i?
-14
Let a(j) be the second derivative of 0*j**5 + 0 + j + 1/5*j**6 + 0*j**3 + 5*j**2 + 0*j**4. What is the first derivative of a(p) wrt p?
24*p**3
Let l(k) = 26*k**3 - 17*k**2 + 3*k - 2. Let q(n) = -80*n**3 + 51*n**2 - 10*n + 7. Let v(c) = 7*l(c) + 2*q(c). Find the third derivative of v(b) wrt b.
132
Let u(w) = w**2 + 4*w + 2. Let v(y) = 1 - 5*y**2 + y + 4*y**2 + 2*y**2 - 2*y**2. Let b(o) = -u(o) + 4*v(o). What is the derivative of b(x) wrt x?
-10*x
Suppose 5*r + 8 = -7. Let t(m) = m**2 + m - 1. Let q be t(r). Differentiate -6*k**3 + q*k**3 + 4 - 3 wrt k.
-3*k**2
Find the third derivative of v**4 + 8*v**4 + 2*v**2 - 9*v**2 + 4*v**2 wrt v.
216*v
Let f(i) be the second derivative of i**4/3 - i**3/6 - 11*i. What is the second derivative of f(q) wrt q?
8
Suppose 3*o = -2*o + 15. Let k = -2 + 21. What is the second derivative of -3*q + 19 - k + 3*q**o wrt q?
18*q
Let h be 2/(-4) - 27/(-6). What is the third derivative of 3*n**2 + 7*n**4 - n**4 - 3*n**h wrt n?
72*n
Let a = -1 - -4. Suppose -2*r + 4 = -0. What is the second derivative of r*t**3 - 2*t**3 - 2*t + 3*t**a wrt t?
18*t
Suppose 9 = -q - 5*r - 5, 3*r = -2*q. Find the third derivative of 2*a**4 + 2 - q*a**4 - 2 + a**2 wrt a.
-96*a
Let k(y) = y**2 + 2*y. Let j(n) = -3*n**2 - 6*n + 65. Let g(p) = -j(p) - 2*k(p). Differentiate g(s) wrt s.
2*s + 2
Let p(o) be the third derivative of 0*o + 1/336*o**8 + 0*o**3 - 1/12*o**4 + 0*o**6 + 0 + 0*o**7 - o**2 + 0*o**5. What is the second derivative of p(w) wrt w?
20*w**3
Find the third derivative of 10*q**2 - 30*q**2 + q**5 - 22*q**5 wrt q.
-1260*q**2
Let n = -3 - -7. Find the third derivative of 3*k**5 - k**n + 2*k**2 - 4*k**2 + k**4 wrt k.
180*k**2
Let l(i) be the second derivative of 0*i**4 + 0*i**2 - 3*i + 0 - 1/3*i**3 - 1/10*i**5. What is the second derivative of l(a) wrt a?
-12*a
Let n(p) = -65*p**2 + 25. Let x(f) = 8*f**2 - 3. Let d(t) = 6*n(t) + 51*x(t). Differentiate d(u) with respect to u.
36*u
Let f(l) = l**2. Let i(m) = 24*m**2 - 39. Let w(v) = -4*f(v) - i(v). What is the first derivative of w(k) wrt k?
-56*k
Let z = -4 - -4. Suppose -m = 3*a - 17, -m + 5*m - 5*a - 17 = z. What is the first derivative of 8*h - h**2 + 2 - m*h wrt h?
-2*h
Suppose 4*o + 5*n - 2 = 0, n + 0*n + 5 = o. Differentiate -l**o + 1 - 7 + 4 wrt l.
-3*l**2
Suppose -3*r = -1 - 2, j - 3*r + 3 = 0. Suppose -k + 3*g - 15 = j, 4*k + 0*g - 5*g + 25 = 0. What is the first derivative of k*f + 1 + 3*f + 0 wrt f?
3
Suppose 0 = 5*r - 3*z - 3 - 6, -12 = 5*r + 4*z. What is the third derivative of r*s**2 - 4*s**2 - 10*s**6 + 13*s**6 wrt s?
360*s**3
Suppose 3 = 3*u - 3. What is the third derivative of 5*v**4 - 5*v**u - v**2 + 2*v**2 wrt v?
120*v
Let l(n) be the first derivative of -n**7/35 - n**5/60 - n**2/2 + 5. Let d(p) be the second derivative of l(p). Find the third derivative of d(u) wrt u.
-144*u
Let p(f) = -f**2 + 1. Let i(j) = -12*j**2 - 11*j + 2. Let u(k) = -i(k) + 2*p(k). Find the second derivative of u(s) wrt s.
20
Let g(y) be the first derivative of y**6/2 + 8*y**3/3 + 15. Find the third derivative of g(c) wrt c.
180*c**2
Let f(n) be the third derivative of n**8/112 + 5*n**4/12 + n**2. What is the second derivative of f(r) wrt r?
60*r**3
Let d(a) be the second derivative of 0*a**2 + 1/4*a**4 + 3*a - 1/3*a**3 + 0. Find the second derivative of d(n) wrt n.
6
Let g(s) be the third derivative of -7*s**6/20 - s**5/20 - 3*s**3/2 - 10*s**2 - 3. What is the third derivative of g(c) wrt c?
-252
Let y = -6 - -8. Find the first derivative of y + 3*u - 6*u - 6 + 1 wrt u.
-3
Let n(g) be the second derivative of -19*g**5/20 - 12*g**2 - 34*g - 1. What is the first derivative of n(c) wrt c?
-57*c**2
Let b(v) be the third derivative of 49*v**5/60 + 35*v**4/24 + v**3/3 - 23*v**2. What is the second derivative of b(j) wrt j?
98
Let l(j) be the third derivative of -5*j**7/42 + j**6/120 - 25*j**4/8 + 2*j**2 + 10. What is the second derivative of l(q) wrt q?
-300*q**2 + 6*q
Suppose 0 = n + 4*p + 25 - 9, 0 = n + 3*p + 11. Let x be (-1)/3 - (-13)/3. Find the third derivative of -x*i + n*i + i**2 + 2*i**3 wrt i.
12
Let o(q) be the first derivative of q**6/120 - q**4/12 - 5*q**3/3 - 7. Let d(r) be the third derivative of o(r). Differentiate d(a) wrt a.
6*a
Let j(k) be the first derivative of 0*k - 1 - k**2 + 1/12*k**4 - 1/6*k**3. Let n(f) be the second derivative of j(f). Differentiate n(x) wrt x.
2
Let x(u) be the third derivative of 0 + 0*u + 0*u**3 + 1/12*u**4 - 1/30*u**5 - u**