4*k
Suppose 3*d = 5*d - 6. Let w = 3 - d. Differentiate 1 - c + 3*c - 4 + w*c with respect to c.
2
Suppose -f + 3 = z, 3*f = -z + 6*z + 1. What is the second derivative of 0*y**f + 134*y - 127*y + 2*y**2 wrt y?
4
What is the third derivative of 14*w**5 + 59*w**2 - 1 - 4*w**3 - 65*w**2 + 3*w**3 wrt w?
840*w**2 - 6
Let q(d) = -d**2 + d + 1. Let g(t) = -11*t**2 - 15*t - 2. Let i(h) = 2*g(h) + 4*q(h). What is the second derivative of i(r) wrt r?
-52
Let i = -3 + 6. Suppose c - 4 = -5*u - i*c, -4 = -3*u - 2*c. Find the second derivative of 16 - 2*x - 16 - x**u wrt x.
-12*x**2
Let s(w) = -6*w**4 + 2*w**2 + 17*w - 2. Let v(c) = 42*c**4 - 15*c**2 - 120*c + 15. Let i(y) = -15*s(y) - 2*v(y). Find the second derivative of i(d) wrt d.
72*d**2
Let w(k) be the third derivative of -1/3*k**3 + 0*k**4 + 2*k**2 + 0*k + 0*k**5 + 0 - 1/20*k**6. Differentiate w(v) with respect to v.
-18*v**2
What is the second derivative of 25 - 11*p + 6*p**3 - 25 wrt p?
36*p
Let u(i) be the second derivative of i**4 + 17*i**2/2 - 7*i. Differentiate u(c) with respect to c.
24*c
Let l be ((-6)/5)/((-2)/15). Find the third derivative of -l + 3*x**2 + 9 + 2*x**3 wrt x.
12
Let m be (0/3)/(-12 + 7). Let f(p) be the second derivative of 0 + 0*p**5 + m*p**3 - 1/4*p**4 + 0*p**2 + 1/10*p**6 + p. Find the third derivative of f(s) wrt s.
72*s
Let b(t) be the third derivative of 7*t**6/120 + t**5/15 - 3*t**2. What is the third derivative of b(w) wrt w?
42
Let v(j) be the first derivative of 5*j**6/3 - 2*j**3 + 2. Find the third derivative of v(q) wrt q.
600*q**2
Let x(v) be the second derivative of v + 0 + 3*v**2 + 1/6*v**3. Let d(h) = -5*h - 31. Let o(f) = -2*d(f) - 11*x(f). What is the first derivative of o(l) wrt l?
-1
Let s be (0 - 3)/(-3) + 0. Let l = s - -1. What is the second derivative of -q + 2*q**2 + 3*q - q - 3*q**l wrt q?
-2
Let k(z) be the first derivative of -z**6/60 + 5*z**4/24 + z**2 - 2. Let a(n) be the second derivative of k(n). What is the second derivative of a(m) wrt m?
-12*m
What is the third derivative of -239*u**2 + 246*u**2 + 5*u**6 + 4*u**6 wrt u?
1080*u**3
Let u(c) = 9*c - 23. Let v(z) = -6*z + 16. Let f(l) = 3*l - 8. Let s(h) = -5*f(h) - 3*v(h). Let r(m) = -17*s(m) + 6*u(m). What is the derivative of r(y) wrt y?
3
Let b(o) = 1 - 14*o - 14*o + 29*o. Let q(a) = -a + 4. Suppose 2 = j + j. Let k(h) = j*q(h) - b(h). What is the first derivative of k(g) wrt g?
-2
Suppose -81 = -3*v + 2*y - y, 97 = 4*v - 5*y. Let g be v/6 - 2/3. Find the second derivative of -3*m**4 + 2*m**g - 2*m + 4*m wrt m.
-12*m**2
Let z(t) be the third derivative of -1/30*t**6 + 1/12*t**4 + 0*t**3 + t**2 + 0*t + 0*t**5 + 0. What is the second derivative of z(c) wrt c?
-24*c
Let j(b) = -b**3 + 5*b**2 + 2. Let u be j(5). What is the second derivative of 3*n**2 + 2*n - 3*n**u - 4*n - 3*n**3 wrt n?
-18*n
Let m(c) = -8*c**2 + 8*c. Let k(w) = -23*w**2 + 23*w. Let t(z) = -4*k(z) + 11*m(z). What is the second derivative of t(n) wrt n?
8
Let i(y) = 11*y**2 - 59. Let z(m) = -4*m**2 + 20. Let h(t) = 6*i(t) + 17*z(t). Find the first derivative of h(u) wrt u.
-4*u
What is the third derivative of 6*d**2 - 8*d**3 - 7*d**2 + 5*d**2 wrt d?
-48
Suppose -6 = -3*w + 3. What is the first derivative of -3 + 2*i**2 + 3 - 1 + w wrt i?
4*i
What is the second derivative of -2*x**2 + 2*x + 2*x**2 + x**4 + 2*x wrt x?
12*x**2
Let j(z) be the first derivative of 4*z**5/5 - z**3 + 3. What is the third derivative of j(b) wrt b?
96*b
Let c(q) be the first derivative of -1/3*q**3 + 0*q**2 - 1/4*q**4 - 3 + 0*q. Find the third derivative of c(x) wrt x.
-6
Suppose -3*i = 2*i. Let t be 1*(-2 + (-8)/(-2)). What is the third derivative of i*k**3 + 2*k**3 - k**3 - 2*k**t wrt k?
6
Find the second derivative of -115*k**2 + 223*k**2 + 20*k - 106*k**2 wrt k.
4
Suppose -14 + 0 = 2*x. Let z = x + 9. Differentiate z - 6*h**4 + 4*h**4 + 7*h - 7*h wrt h.
-8*h**3
Let b(a) be the second derivative of a**9/1512 + a**6/120 + a**3/3 + 2*a. Let p(k) be the second derivative of b(k). What is the third derivative of p(w) wrt w?
120*w**2
Let l be 8 - (18/(-2))/(-3). What is the third derivative of -6*j**3 + l*j**3 - 5*j**2 - j**2 wrt j?
-6
Let r(a) be the third derivative of 0*a - 5*a**2 + 0*a**4 + 1/10*a**5 + 0 - 2/3*a**3. What is the derivative of r(f) wrt f?
12*f
Let u(n) be the third derivative of -17*n**5/60 - 35*n**4/24 - 23*n**2. Find the second derivative of u(d) wrt d.
-34
Let c(g) be the second derivative of g**7/2520 - g**5/120 - g**4/4 - 2*g. Let w(r) be the third derivative of c(r). What is the derivative of w(k) wrt k?
2*k
Let u be 2*5/(20/16). What is the first derivative of 1 + 19*z**3 - u*z**3 - 5*z**3 - 9*z**3 wrt z?
-9*z**2
Suppose 4*g = 12, -2*g + 13 = s - 3*g. Let w be 9/(-6)*s/(-6). What is the third derivative of -6*i**2 - i**6 + w*i**2 + 1 - 1 wrt i?
-120*i**3
Let x(c) = c + 1. Let h(l) = 41*l - 43. Let i(m) = -h(m) + 4*x(m). What is the derivative of i(k) wrt k?
-37
Let q(h) = -4*h**2 - 29*h + 13. Let g(p) = p**2 + 7*p - 3. Let m(o) = -26*g(o) - 6*q(o). What is the second derivative of m(x) wrt x?
-4
Let w = 9 - 6. What is the third derivative of -w*r**5 - 3*r**2 - r**5 + 2*r**5 wrt r?
-120*r**2
Let n(r) be the second derivative of -r**6/45 - 5*r**4/24 + r**3 - 4*r. Let l(h) be the second derivative of n(h). What is the first derivative of l(u) wrt u?
-16*u
Let b(a) be the third derivative of a**7/210 + 4*a**3/3 + 4*a**2. Find the first derivative of b(s) wrt s.
4*s**3
Find the second derivative of 3*m - 17 + 7*m + 54*m**3 - 9*m + 2*m**2 + 0*m wrt m.
324*m + 4
Let x(m) = -4*m**5 + 3*m**4 + 3*m**3 - m. Let q(r) = r**5 - r**4 - r**3. Let g(z) = -3*q(z) - x(z). What is the second derivative of g(k) wrt k?
20*k**3
Let w be (-2 - -1) + (-7 - -10). What is the second derivative of -y - 8*y**3 - w*y - 6*y + y wrt y?
-48*y
Let o(q) be the second derivative of 11*q**4/4 - 31*q**2 - 2*q. What is the derivative of o(v) wrt v?
66*v
Let v be (16/10)/(4/10). What is the derivative of -4*d**v + 0 + 4 + 7*d**4 - 5 wrt d?
12*d**3
Let p(y) be the first derivative of 4*y**6/3 - 19*y**2 - 6. Find the second derivative of p(x) wrt x.
160*x**3
Suppose -4*i = -4, 2*i + 10 = -6*c + 4*c. Let x = -4 - c. Differentiate 5*z - x - 2*z**2 - 5*z with respect to z.
-4*z
Let t(n) = n**2 - 12*n - 3. Let d be t(13). Let l = -8 + d. What is the first derivative of -r**2 + 5*r**2 - 3 + l wrt r?
8*r
Let z(p) be the second derivative of -11*p**6/15 + p**4/4 + p**3/2 - 14*p. What is the third derivative of z(m) wrt m?
-528*m
Let h(j) = 2*j**3 - 8*j**2. Let d(w) = 2*w**3 - 9*w**2. Suppose 10 = -3*g + g. Let a(b) = g*d(b) + 6*h(b). Find the third derivative of a(f) wrt f.
12
Let n(u) be the third derivative of 7*u**5/30 + 5*u**3/2 - 10*u**2. What is the derivative of n(d) wrt d?
28*d
Let p(a) = -a - 11. Let z be p(-11). Suppose -c + 0 + 22 = -5*q, 4*q + 24 = 4*c. What is the first derivative of -c*b**4 - 2 + z*b**2 + 0*b**2 wrt b?
-8*b**3
Let a(h) be the second derivative of 2*h**5 + 15*h**3/2 - 2*h. What is the second derivative of a(o) wrt o?
240*o
Let z(b) be the third derivative of -b**5/15 - b**3/3 + 7*b**2. What is the derivative of z(o) wrt o?
-8*o
Suppose 2*p = 3*r - 10, 0 = 2*r + p - 6 - 3. What is the derivative of r*y**2 - 6 + 2 - 2 wrt y?
8*y
Suppose 5*j + 2 = c, -4*c - 5*j + 40 = c. Let d = c - 5. Find the third derivative of -2*k**5 + k**d + k**2 + 0*k**2 wrt k.
-120*k**2
Suppose -4*c - 5*y = -11 + 3, -4*y = 0. Find the third derivative of -c*z**2 - 6*z**6 + 2*z**6 - z**6 wrt z.
-600*z**3
Let f(j) be the second derivative of -7*j**4/2 + 7*j**3/3 + 24*j. What is the second derivative of f(c) wrt c?
-84
Let s be 4/2 + (-35)/20. Let r(q) be the first derivative of s*q**4 + 0*q**2 + 0*q + 2/3*q**3 + 2. What is the third derivative of r(c) wrt c?
6
Differentiate 6*l**4 - 3*l + 3*l + 6 + 0*l**4 wrt l.
24*l**3
Let z(u) = u**3 + 6*u - 2. Let f(l) = l**3 + 7*l - 1. Let v(q) = -6*f(q) + 7*z(q). Differentiate v(w) with respect to w.
3*w**2
Let r(y) be the third derivative of y**7/70 + y**4/12 + 8*y**2. Find the second derivative of r(p) wrt p.
36*p**2
Let w(z) be the first derivative of 9*z**7/7 + z**3/3 - 4. What is the third derivative of w(f) wrt f?
1080*f**3
Let d(q) = 3*q**3. Let t be d(1). Suppose 0 = -3*i + 2*i + t. Find the third derivative of p**i - 4*p**3 +