
Let v(r) = 4*r**2 + 3*r - 7. Let u(a) = 9*a**2 + 5*a - 13. Let m(d) = 3*u(d) - 5*v(d). What is the first derivative of m(l) wrt l?
14*l
Let j = -12 + 19. Differentiate l + l - j*l - 5 wrt l.
-5
Let h(r) = r**5 - r**3 + r + 1. Let i(g) = 16*g**5 - 6*g**3 - 6*g**2 + 6*g + 6. Let m(w) = -6*h(w) + i(w). Find the third derivative of m(u) wrt u.
600*u**2
Suppose -3*x - 22 = -g + x, -3*x = 15. What is the derivative of g*a**4 - 5 - 1 + 5 wrt a?
8*a**3
What is the second derivative of 2*n**2 + 34*n - 17*n**4 - 31*n - 2 + 3 wrt n?
-204*n**2 + 4
Suppose -5 = -3*w + 2*w. Suppose w*b - 2*v - 3*v + 10 = 0, -v = -4. Find the second derivative of -3*s**3 + 2*s - s + b*s**3 wrt s.
-6*s
Let s(g) be the third derivative of 13*g**6/40 - 23*g**3/3 + g**2 - 24. What is the first derivative of s(q) wrt q?
117*q**2
Let c = 5 - 7. Let t = c + 4. What is the derivative of 0*r**t + 0*r**2 - 3 - r**3 + 4*r**3 wrt r?
9*r**2
Let m(l) be the second derivative of 0*l**6 + 0 + 0*l**2 + 0*l**3 - 3*l + 0*l**5 + 1/21*l**7 - 1/6*l**4. What is the third derivative of m(p) wrt p?
120*p**2
Let f(o) = 3*o - 3. Let n be f(2). What is the derivative of -5 + 0*s**3 + s**n + 2 + 4 wrt s?
3*s**2
Let y(q) be the third derivative of 2*q**6/15 - 5*q**4/12 - 4*q**2. What is the second derivative of y(i) wrt i?
96*i
Let m(r) be the first derivative of r**6/6 - 7*r**3/3 + 6. Find the third derivative of m(d) wrt d.
60*d**2
Let o(d) be the second derivative of -d**5/5 - d**3/3 + d. Find the second derivative of o(k) wrt k.
-24*k
Let y(r) be the second derivative of -r**6/120 + r**5/15 + r**2 - r. Let v(m) be the first derivative of y(m). Find the third derivative of v(c) wrt c.
-6
Let h(u) = -u**2 + u. Let d(q) = 4*q**2 + 2*q + 19. Let p(f) = d(f) - 2*h(f). What is the derivative of p(n) wrt n?
12*n
Let m(d) = 5*d**2 + 6*d - 4. Let a(y) = 5*y**2 + 7*y - 4. Let v(l) = 6*a(l) - 7*m(l). Differentiate v(u) wrt u.
-10*u
Let n(f) = -4 + 2 + f + 2 - f**3 + 1. Let i(t) = 4*t**3 - 2*t + 1. Let u(l) = i(l) + 2*n(l). Find the first derivative of u(s) wrt s.
6*s**2
Let c = 171/5 + -34. Let s(f) be the first derivative of c*f**5 + 2/3*f**3 + 0*f**4 + 0*f + 0*f**2 - 2. What is the third derivative of s(w) wrt w?
24*w
Suppose -3*c = -5*c + 4. Suppose 3*s - 14 = -2*j, 5*s = s + c*j. What is the first derivative of s - 1 + 0*z**2 + 2 - z**2 wrt z?
-2*z
Find the third derivative of -d**3 + 4115*d**4 + 62*d**2 + 26*d**5 - 4115*d**4 wrt d.
1560*d**2 - 6
Let u be 56/10 - (-4)/10. Differentiate 2 + 6*g - g - u wrt g.
5
Let w(p) = 189*p**3 + 21*p**2 + 99*p. Let r(i) = 19*i**3 + 2*i**2 + 10*i. Let y(j) = -21*r(j) + 2*w(j). What is the second derivative of y(c) wrt c?
-126*c
Let r(q) be the third derivative of 0*q**3 + 0*q + 1/6*q**4 + 0 + 0*q**6 - 3*q**2 + 1/168*q**8 + 0*q**7 + 0*q**5. Find the second derivative of r(u) wrt u.
40*u**3
Let j(a) = 17*a**2 + 7*a + 11. Let n(b) = 9*b**2 + 4*b + 6. Let q(y) = 6*j(y) - 11*n(y). Find the second derivative of q(t) wrt t.
6
Let z(q) = -4*q. Let y(r) be the first derivative of r**2/2 - r + 2. Let i(a) = -4*y(a) - 2*z(a). Find the first derivative of i(c) wrt c.
4
Let s(u) be the third derivative of -8*u**7/105 + 13*u**4/8 + 15*u**2. What is the second derivative of s(h) wrt h?
-192*h**2
Let a(h) = h**2 + h - 1. Let x(u) = -57*u**3 - 3*u**2 - 20*u + 3. Let q(v) = 3*a(v) + x(v). Find the second derivative of q(f) wrt f.
-342*f
What is the third derivative of -10*s**4 - 8*s**2 - 2 + 1 + 1 wrt s?
-240*s
What is the first derivative of 2*z**4 - 17*z**4 - 12*z + 12*z - 21 wrt z?
-60*z**3
Let m(x) be the first derivative of -1/2*x**4 + 3 + 0*x + 1/3*x**3 + 0*x**2. What is the third derivative of m(v) wrt v?
-12
What is the third derivative of -15*u**3 + 20*u**3 - 5*u**2 + 20*u**3 wrt u?
150
Let x(o) = o**3 - 14*o**2 + 3. Let b be x(14). Differentiate -2*a**3 + 0*a**3 + b - 7 wrt a.
-6*a**2
Suppose -x - 4 = -12. What is the derivative of -x + 4*k**2 - 6 + 12 wrt k?
8*k
Let s be (-32)/(-6) - 6/(-9). What is the third derivative of -h**s + 5*h**2 - 3*h**5 - 2*h**2 + 3*h**5 wrt h?
-120*h**3
Let i(b) be the first derivative of -b**7/70 - b**4/8 - 5*b**2/2 + 9. Let g(z) be the second derivative of i(z). Find the second derivative of g(m) wrt m.
-36*m**2
Let r(m) be the first derivative of 0*m**3 + 1/2*m**2 - 2 + 3*m + 1/4*m**4. Let p(d) be the first derivative of r(d). What is the derivative of p(z) wrt z?
6*z
Suppose 0 = r - 0 - 1. Let t(k) = 3*k**3 + 2*k**2 - 2*k + 1. Let b be t(r). Differentiate 2 - b*z + 2*z + z wrt z.
-1
Let a(d) = 65*d**4 + 99*d**2 + 11*d. Let g(o) = 13*o**4 + 20*o**2 + 2*o. Let p(v) = 2*a(v) - 11*g(v). What is the third derivative of p(q) wrt q?
-312*q
Suppose g - 4 = -g. Find the third derivative of g*t**5 + 0*t**5 - t**2 - t**2 + 0*t**5 wrt t.
120*t**2
Let x(m) = 4*m**4 + 3*m**3 - 3*m + 3. Let u(j) = 9*j**4 + 5*j**3 - 7*j + 5. Let f(w) = 3*u(w) - 5*x(w). What is the second derivative of f(o) wrt o?
84*o**2
Let t(u) be the third derivative of -u**6/3 + 7*u**5/30 - 2*u**2 - 16*u. Find the third derivative of t(g) wrt g.
-240
What is the first derivative of 312*t - 8 - 312*t + 9*t**3 wrt t?
27*t**2
What is the third derivative of 5*x**2 - 8*x**2 + 28*x**5 - 6*x**5 + 7 + x**2 wrt x?
1320*x**2
Let u(s) = -2*s**3 + 3*s + 4. Let n(y) = -5*y**3 + 7*y + 9. Let o(l) = -3*n(l) + 7*u(l). What is the derivative of o(q) wrt q?
3*q**2
Let a(t) be the third derivative of -t**7/70 - t**4/12 - 8*t**2. Find the second derivative of a(u) wrt u.
-36*u**2
Let s(p) = 3*p - 7. Let l(m) = -m + 1. Let r(h) = -4*l(h) - s(h). What is the derivative of r(k) wrt k?
1
Differentiate 57 - 27 - 15 - 15*j**2 with respect to j.
-30*j
Find the third derivative of 9*m**2 - 6*m**3 - 12*m + 12*m wrt m.
-36
Let s(n) be the first derivative of 10*n**3/3 - 5*n + 1. What is the first derivative of s(m) wrt m?
20*m
Let l(s) = s - 4. Let w be l(7). What is the second derivative of 4*p - 4*p**3 + 4*p**w + p**5 wrt p?
20*p**3
Let w = 3 - 1. Find the second derivative of 4*d**2 - w*d**2 - d + 2*d**2 wrt d.
8
Let l(a) be the first derivative of 1/2*a**6 + 1/2*a**2 + 0*a**3 - 2 + 0*a**5 + 0*a**4 + 0*a. What is the second derivative of l(n) wrt n?
60*n**3
Suppose -2*r = 3*a - 0*a - 6, -5*r = 3*a - 6. What is the derivative of 2*n**2 + 1 + 2*n**a + 4*n**3 - 4*n**2 wrt n?
12*n**2
Suppose -4*j + o = -15, -4*j - 4*o + 8 = -12. Find the third derivative of 3*m**2 + 9*m**5 + 2*m**4 + 2*m**j - 4*m**4 wrt m.
540*m**2
Let m be 9/(-12)*(-8)/3. What is the derivative of 13*i**2 + 2 - 13*i**m + 2 - 3*i**3 wrt i?
-9*i**2
Let r(y) = y. Suppose -5*z - 11 = 2*s, -3*s + 6 - 3 = z. Let h = z - -1. Let x(c) = 3*c + 1. Let w(t) = h*x(t) + 7*r(t). What is the derivative of w(k) wrt k?
1
Let r(p) be the second derivative of -p - 2/15*p**6 + 0*p**3 + 0*p**5 + 2*p**2 + 0 + 0*p**4. What is the first derivative of r(c) wrt c?
-16*c**3
Find the first derivative of -75*j**3 + 26 + 39*j**3 + 46*j**3 wrt j.
30*j**2
Let o be 26/30 + 18/(-90). Let w(t) be the first derivative of 0*t - 1 + o*t**3 - 1/2*t**2. What is the second derivative of w(g) wrt g?
4
Find the third derivative of -12*t**2 + 5*t**6 + t**3 - 13*t**2 + 9*t**6 wrt t.
1680*t**3 + 6
Let d(n) be the first derivative of 8*n**5/5 + 20*n**3/3 - 48. Find the third derivative of d(a) wrt a.
192*a
Suppose -2*s - 24 = s. Let r = s - -14. What is the third derivative of -3*d**r - d**6 + 4*d**6 - 3*d**2 + 3*d**6 wrt d?
360*d**3
Let x be (-4)/1*15/(-12). Suppose x*o = -0*o + 20. What is the third derivative of d**o + 4*d**2 - d**2 - 4*d**2 wrt d?
24*d
Let a(w) = -w**2 - w + 1. Let n(x) = 2*x**2 - 5*x. Let g(l) = a(l) - n(l). Let t(i) be the first derivative of g(i). What is the first derivative of t(q) wrt q?
-6
Let i(t) = t**2 + 5*t + 2. Let r(u) = u - 2. Let d(k) = 2*k - 1. Let v(c) = -3*d(c) + 2*r(c). Let x(a) = -4*i(a) - 5*v(a). What is the derivative of x(q) wrt q?
-8*q
Let g be -2 - (-1*8 - 0). Find the third derivative of -3*i**6 + 80 + g*i**2 - 80 wrt i.
-360*i**3
Let i(q) be the third derivative of -1/60*q**5 - q**2 + 0*q + 0*q**4 + 1/120*q**6 + 0*q**3 + 0. What is the third derivative of i(p) wrt p?
6
Suppose -m = -u - 18, 0 = u - 5*m + m + 27. Let r be -6*(-2 - u/9). What is the third derivative of -r*n**3 + n**2 - 2*n**5 + 2*n**3 wrt n?
-120*n**2
Suppose -d - 4 = -2*d - 4*b, -d