et b(w) = w + 12. Let z = -3 + -7. Let t be b(z). What is the third derivative of 3*g**5 + g**2 + t*g**2 + 6*g**4 - 6*g**4 wrt g?
180*g**2
What is the first derivative of 7*t**2 - 2 + 1 - 9*t**2 - 4 wrt t?
-4*t
Let x(b) = 10*b**2 - 43*b + 7. Let u(j) = 7*j**2 - 29*j + 5. Let p(k) = 7*u(k) - 5*x(k). Find the second derivative of p(t) wrt t.
-2
Let f(u) = 7*u**4 - 4*u**3 + 3. Let p(t) = -22*t**4 + 11*t**3 - 9. Let r(o) = 11*f(o) + 4*p(o). Differentiate r(m) wrt m.
-44*m**3
Suppose 4*t - i = -18, 3*t + 7 = -i + 5*i. Let c(x) = -x**2 - 6*x - 1. Let k be c(t). Find the first derivative of -4*m**2 + 4*m**2 - 2*m**k - 3 + 1 wrt m.
-8*m**3
Let p(b) be the second derivative of -17*b**4/12 - 41*b**3/6 - b. Find the second derivative of p(v) wrt v.
-34
Let b(v) = v - 1. Let z(i) = -15*i + 12. Let n(r) = -12*b(r) - z(r). Let m be n(1). Find the third derivative of -26*t**3 + t**2 - 5*t**2 + 24*t**m wrt t.
-12
Let q(o) be the second derivative of -o**5/5 - o**2 - 2*o. What is the derivative of q(l) wrt l?
-12*l**2
Let v(m) = 8*m**5 - 9*m**3 - 43*m**2 + 9*m. Let x(t) = -2*t**5 + 2*t**3 + 11*t**2 - 2*t. Let l(a) = -2*v(a) - 9*x(a). Find the third derivative of l(g) wrt g.
120*g**2
Let p(r) = -r**2 - r. Let l(k) = -2*k**2 + 5*k - 8. Let x(i) = l(i) + 5*p(i). Find the first derivative of x(s) wrt s.
-14*s
Let d(w) be the second derivative of -11*w**4/12 - 3*w**2/2 + 14*w. Find the first derivative of d(q) wrt q.
-22*q
Find the second derivative of -132 - 23*a**2 + 269 + 46*a - 137 wrt a.
-46
Find the second derivative of -53*x**4 + 57*x**4 + 6*x - 42*x wrt x.
48*x**2
Let l(z) be the first derivative of -1 + 7*z**4 + 3 - 9*z**4 - z**2. What is the second derivative of l(a) wrt a?
-48*a
What is the derivative of -24 + 1782*k**2 - 1782*k**2 - 19*k**3 wrt k?
-57*k**2
Let o(p) be the first derivative of -p**4 - 5*p**3/3 + 9. Find the third derivative of o(r) wrt r.
-24
Let t(l) be the second derivative of 47*l**6/30 + 12*l**2 - 5*l. Differentiate t(j) with respect to j.
188*j**3
Suppose 5*p - 215 = 5*f, -5*f - 269 = -4*p - 98. Find the second derivative of -22*y**3 + p*y**3 - 16*y**3 + 6*y wrt y.
36*y
What is the third derivative of -4*u**2 - 391*u**5 - 17*u**6 + 391*u**5 wrt u?
-2040*u**3
Let z(m) be the third derivative of -4*m**2 + 1/15*m**5 + 0 + 1/3*m**3 + 0*m**4 + 0*m. What is the first derivative of z(g) wrt g?
8*g
Let h(z) = z - 3. Let b be h(7). Find the second derivative of 0*y - 2*y - y + b*y**3 wrt y.
24*y
Differentiate -17 - 7*w + 12*w + 11*w + 45 with respect to w.
16
Let h be 9 - (3 - 2)*3. Suppose -2*y + 16 = 3*i, 4*y + 2*i = -0*i + 16. Find the third derivative of 0 + y*l**2 - 2*l**h + 0 wrt l.
-240*l**3
Let q(x) be the second derivative of x**3/6 - 9*x**2/2 - 8*x. Differentiate q(h) wrt h.
1
Let v(n) = 2*n**2 - n + 3. Let f(q) = -3*q**2 + 2*q - 5. Let c(j) = 5*f(j) + 8*v(j). Let x(a) be the first derivative of c(a). Differentiate x(b) wrt b.
2
Let b(k) = 7*k**2 - 3*k + 1. Let z = -7 + 15. Let l(j) = 21*j**2 - 8*j + 4. Let w(c) = z*b(c) - 3*l(c). What is the derivative of w(f) wrt f?
-14*f
Let g(k) be the first derivative of -47*k**2/2 + 51*k - 41. What is the derivative of g(a) wrt a?
-47
Let q(c) be the third derivative of -4*c**7/105 + c**4/2 + 6*c**2. What is the second derivative of q(y) wrt y?
-96*y**2
Let s(i) be the second derivative of 1/6*i**7 + 0*i**5 + 0*i**6 + 0 + 1/2*i**4 + 0*i**2 + 0*i**3 - 2*i. Find the third derivative of s(p) wrt p.
420*p**2
Let g(p) be the second derivative of -2*p**5 + 11*p**4/6 - 33*p. Find the third derivative of g(k) wrt k.
-240
Let c(u) = 11*u + 0*u**3 - 11*u - u**3 - u**2 - 4. Let v(b) = b**3 + 3*b**2 + 9. Let k(o) = 9*c(o) + 4*v(o). Find the third derivative of k(n) wrt n.
-30
Let n(d) = -d**3 - d**2 + d + 3. Let m be n(0). Find the second derivative of -9*k**m - k + 2*k**3 + 5*k**3 wrt k.
-12*k
What is the second derivative of -5*v**5 - 2*v**4 - 23*v + 2*v**4 + 16*v wrt v?
-100*v**3
Let i(q) = -q**3 - 9*q**2 - 8*q + 3. Let t be i(-8). What is the second derivative of -5*h**3 + 5*h**t + h**3 + 3*h + 0*h wrt h?
6*h
Let b(g) = 25*g**3 - 6*g**2 + 90*g + 5. Let w(x) = -38*x**3 + 10*x**2 - 135*x - 8. Let q(z) = 8*b(z) + 5*w(z). Find the second derivative of q(f) wrt f.
60*f + 4
Let f(s) = 2*s**2 - 4*s + 2. Let z be f(2). What is the third derivative of 0*y**6 - 2*y**6 - 2*y**2 + 4*y**2 + 2*y**z wrt y?
-240*y**3
Let p(z) = -80*z**3 - 12*z + 2. Let f(m) = -32*m**3 - 5*m + 1. Let x(i) = 12*f(i) - 5*p(i). Find the first derivative of x(u) wrt u.
48*u**2
Suppose 0 = -3*i - 2*i. Let o be -3*(i + -1) + -1. Find the second derivative of t - o*t**2 + 2*t**2 + 2*t - 3*t**5 wrt t.
-60*t**3
Let h = -1 - -3. What is the third derivative of -u**2 - 4*u**3 - h*u**2 + 2*u**3 wrt u?
-12
Let u(q) be the second derivative of 0*q**4 + 6*q + 4/3*q**3 - 9/20*q**5 + 0*q**2 + 0. What is the second derivative of u(o) wrt o?
-54*o
Let b(a) be the second derivative of 11*a**5/10 + a**4 + 13*a. Find the third derivative of b(k) wrt k.
132
Let n(k) = -4*k + 11. Let y(i) = -i + 4. Let l be y(10). Let a(s) = -1. Let d(v) = l*a(v) - n(v). Differentiate d(p) wrt p.
4
Let g(t) = t**4 + t**3. Let l(d) = 3*d**4 + 2*d**3 + 7*d**2. Let h(s) = -2*g(s) + l(s). What is the third derivative of h(m) wrt m?
24*m
Let v = -7597/20 + 380. Let z(y) be the second derivative of 0*y**3 - 2*y**2 + 0 - v*y**5 + 0*y**4 - 4*y. Differentiate z(x) wrt x.
-9*x**2
Suppose 5*p - p - 8 = 0. What is the third derivative of m**3 + m**p + m**2 - 5*m**2 wrt m?
6
What is the first derivative of 2*x - x - 18 + 17 wrt x?
1
Let l(g) = -40*g**3 - 3*g**2 - 3*g - 14. Let b(q) = 79*q**3 + 7*q**2 + 7*q + 27. Let y(u) = -3*b(u) - 7*l(u). Differentiate y(w) with respect to w.
129*w**2
Let g(b) be the first derivative of b**6/6 - 4*b**3/3 + 3. What is the third derivative of g(k) wrt k?
60*k**2
Let y(u) be the second derivative of 0*u**4 + 0*u**6 + 2/21*u**7 + 5/6*u**3 + 0*u**5 + 0 + 4*u + 0*u**2. Find the second derivative of y(m) wrt m.
80*m**3
Let d(i) = i - 7. Let b be d(10). Find the second derivative of b*g**4 + 3*g**4 - 30*g + 25*g wrt g.
72*g**2
What is the third derivative of -114*y**2 - 3 + 67*y**2 + 3 + 7*y**3 wrt y?
42
Let p(u) be the first derivative of u**4/4 + 8*u**3/3 + u**2/2 + 11*u + 1. Let s be p(-8). What is the third derivative of 3*d**3 - d**2 - d**3 + 0*d**s wrt d?
12
Let j(w) = 6*w + 3. Let u(x) = 3*x + 2. Let q(c) = 3*j(c) - 5*u(c). What is the first derivative of q(t) wrt t?
3
Differentiate -1 - 7*y**2 + 5*y**2 - 4*y**2 + 0 with respect to y.
-12*y
Let w(t) = -5*t**3 + 4*t**2 - 7*t + 4. Let d(z) = -z**2 - 1. Let g(m) = 4*d(m) + w(m). What is the second derivative of g(j) wrt j?
-30*j
Let d(y) = y**3 - 2*y**2 - 4*y + 3. Let m be d(3). Suppose q - 2*q = m. What is the third derivative of o**5 + q*o**5 - 4*o**2 - 2*o**5 + 3*o**5 wrt o?
120*o**2
Let d(f) be the second derivative of 0*f**4 - 3/2*f**2 + 0 + 2*f + 0*f**3 + 3/20*f**5. What is the first derivative of d(s) wrt s?
9*s**2
Suppose 9 = 4*d - 3*o, -3*o - 4 - 5 = 0. Find the third derivative of 3*r**2 + 2*r**4 + d*r**4 - 5*r**2 wrt r.
48*r
What is the first derivative of 2 - z**2 + 894*z - 894*z wrt z?
-2*z
What is the first derivative of -9*m + 17 - 6*m - 3 wrt m?
-15
Find the first derivative of 4 - 6 - 6 + 8*q**2 - 2 wrt q.
16*q
Let c(f) = f - 4. Let b be c(6). What is the third derivative of 3*g**4 - g**2 + 3*g**4 - 4*g**b + 6*g**2 wrt g?
144*g
Differentiate -6*g**3 + 0*g**3 - 14*g**3 - 14 + 32 with respect to g.
-60*g**2
Let q be (-5)/10 + 14/4. Find the second derivative of 0 - 2*g**q + 0 - g + 0 wrt g.
-12*g
Let z(o) = o**2 - 5*o + 4. Let l be z(4). Differentiate 0*a + l*a + 2 + 2 - 2*a**4 with respect to a.
-8*a**3
Let s(r) = 20*r - 20. Let p(h) = -3*h + 3. Let v(b) = -32*p(b) - 5*s(b). Let a(y) = y - 1. Let c(t) = -2*a(t) - v(t). Differentiate c(j) wrt j.
2
Let u(a) be the first derivative of a**3/6 - a**2/2 - 2*a - 2. Let h(m) be the first derivative of u(m). Find the first derivative of h(p) wrt p.
1
Suppose 17 = n + 5. Suppose -5*v + n = -v. Find the third derivative of -c**4 + 0*c**2 + 3*c**2 + v*c**4 wrt c.
48*c
Differentiate -7*c**2 + 4 + 4*c**2 + 3*c**2 + 2*c**2 with respect to c.
4*c
Let h(k) be the second derivative of -11*k**6/15 - 10*k**2 - 24*k. What is the derivative of h(r) wrt r?
-