et a(g) = -g**3 - 3*g**2 + 3*g. Let o be 6/(1 - 5/2). Let c be a(o). What is the derivative of 7*w**4 + 1 - 2 - 4*w**c wrt w?
12*w**3
What is the third derivative of 3*r**2 - 13*r - 5*r**2 + 3*r**3 + 33*r**3 + 22*r**3 wrt r?
348
Let q(v) = 25*v**2 + 18*v. Let b(m) = -m**2 + m. Let h(y) = -3*b(y) + q(y). Find the second derivative of h(r) wrt r.
56
Let g(p) be the third derivative of 3/2*p**3 + 0*p**4 + 0 + 4*p**2 + 0*p + 0*p**5 + 1/12*p**6. Differentiate g(s) wrt s.
30*s**2
Let q = -11 + 13. Let w(n) = 10*n**5 + 15*n**2 - 5. Let x(m) = 5*m**5 + 7*m**2 - 2. Let s(i) = q*w(i) - 5*x(i). What is the third derivative of s(r) wrt r?
-300*r**2
Let n(s) be the first derivative of 51*s**5/5 + 49*s**3/3 + 4. What is the third derivative of n(a) wrt a?
1224*a
Let t(j) = 1 + 3 - 3*j**3 - 4*j**3 - 3. Let k(p) = -4*p**3 + 1. Let h(b) = 5*k(b) - 3*t(b). What is the first derivative of h(s) wrt s?
3*s**2
Let m(j) be the first derivative of j**4/12 - j**3/6 - 2*j**2 - 6. Let z(c) be the second derivative of m(c). Find the first derivative of z(s) wrt s.
2
Let h(b) be the third derivative of b**6/20 - b**4/8 - 11*b**2. Find the second derivative of h(m) wrt m.
36*m
Let l be ((-4)/10)/(12/60). Let b(n) = n**2 + 2*n**2 + 0*n**2. Let r(k) = k**2 - 1. Let a(y) = l*r(y) + b(y). What is the first derivative of a(g) wrt g?
2*g
Let j be 12/(-15)*10/(-4). Suppose j*i - 12 = 5*i + 3*r, 16 = 4*i - 4*r. Find the second derivative of k**5 + 3*k + 0*k**4 + i*k**4 wrt k.
20*k**3
Let x = 6 + -4. Find the second derivative of -9*u**2 - 2*u + u - u + 11*u**x wrt u.
4
Let r(j) be the third derivative of -41*j**5/60 + j**4/12 - 21*j**2 + 2*j. What is the second derivative of r(x) wrt x?
-82
Let b(z) be the third derivative of z**2 + 1/24*z**4 - 1/3*z**3 + 0*z + 0. Find the first derivative of b(v) wrt v.
1
Let l = 4 - 3. Suppose 0 = -i + 1 + l. Find the third derivative of i*b**4 - b**4 - 2*b**2 - 2*b**3 + 2*b**3 wrt b.
24*b
Find the third derivative of 6*o**6 + 117*o**2 + 15*o**6 - 145*o**2 - o**6 wrt o.
2400*o**3
Suppose -6 = 2*r + 2. Let x = 7 + r. Find the third derivative of n**2 - x*n**3 + 0*n**2 + 5*n**3 wrt n.
12
What is the third derivative of -8*l**5 - 12*l**2 + 13*l**5 - 13*l**2 wrt l?
300*l**2
Suppose 0 = 3*a + 6. Let m be 1 + a + 3 + 0. Find the second derivative of -2 + 2*q**3 - q + m wrt q.
12*q
Let a(o) be the first derivative of -3*o - 4 + 1/3*o**4 + 2*o**2 + 0*o**3. Let j(r) be the first derivative of a(r). What is the derivative of j(g) wrt g?
8*g
Let t(y) = 28*y**3 + 3*y**2 + 26*y - 3. Let d(b) = -57*b**3 - 5*b**2 - 52*b + 5. Let g(m) = -3*d(m) - 5*t(m). Find the second derivative of g(z) wrt z.
186*z
Let o(m) = 12*m**4 + 4*m**2. Let g(t) = -25*t**4 - 7*t**2. Let k(c) = 2*g(c) + 5*o(c). Find the third derivative of k(h) wrt h.
240*h
Suppose 4*h = -h. What is the third derivative of -4*n**2 + 0*n + h*n + n**2 - 4*n**3 wrt n?
-24
Let b(f) = -15*f**4 + 2*f**3 + 5*f - 2. Let n(w) = 29*w**4 - 5*w**3 - 10*w + 5. Let p(g) = -5*b(g) - 2*n(g). What is the second derivative of p(y) wrt y?
204*y**2
What is the third derivative of 13*t**4 - 1 - 6*t**4 + 5*t**2 + 1 wrt t?
168*t
Let i(r) be the third derivative of -r**6/15 + 7*r**4/12 + r**2. What is the second derivative of i(h) wrt h?
-48*h
Let w(h) = -13*h + 8. Let m(o) = -5*o - 12 + 14*o + 15*o - 4*o. Let v(x) = 5*m(x) + 8*w(x). Find the first derivative of v(n) wrt n.
-4
What is the second derivative of 62*n + 7*n**2 - 41*n - 33*n wrt n?
14
Let v = -3 - -8. Suppose v*f - 10 = -0. What is the third derivative of 0*r**2 + 0*r**4 - 2*r**4 + f*r**2 wrt r?
-48*r
Let w(j) = -j + 13. Let b be w(11). What is the third derivative of -11*x**2 + 8*x**5 - 5*x**5 + 6*x**5 + 0*x**b wrt x?
540*x**2
Let k(q) be the third derivative of -q**10/37800 - q**6/120 - q**5/12 - q**2. Let y(l) be the third derivative of k(l). Differentiate y(t) wrt t.
-16*t**3
What is the first derivative of -s**2 + 6*s**2 + 8*s**2 + 15 wrt s?
26*s
Let g(m) = -3*m**3 - 1. Suppose 2*y + 0*y + 2 = 0. Let j be g(y). What is the third derivative of 4 - 4 + 3*t**5 + j*t**2 wrt t?
180*t**2
Let m(w) = -w**3 + w - 1. Let r(z) = 10*z**3 - 7*z + 3. Let q(c) = -14*m(c) - 2*r(c). What is the derivative of q(i) wrt i?
-18*i**2
Suppose a - 4*a - 15 = 0. Let u be (-17)/a + 10/(-25). Differentiate 2*d**4 - d**4 - u*d**4 + 2 with respect to d.
-8*d**3
Let q(c) = -14*c**5 + 41*c**2 - 11*c. Let p(h) = 3*h**5 - 8*h**2 + 2*h. Let l(w) = 11*p(w) + 2*q(w). What is the third derivative of l(k) wrt k?
300*k**2
Let k(r) = 11*r**3 - 23*r**2 - 8. Let m(l) = 7*l**3 - 15*l**2 - 5. Let s(c) = 5*k(c) - 8*m(c). Find the third derivative of s(h) wrt h.
-6
Let z = -5 + 7. Suppose 0 = -c + z - 0. Find the first derivative of -2*u + 3*u + c - 3*u wrt u.
-2
Suppose -4*q + 2*q = 3*l - 6, 2*q - 8 = -4*l. Let n be (-2)/((-2)/(4 - l)). Find the first derivative of -4*o**4 - n + 2*o**4 + 3*o**4 wrt o.
4*o**3
Let z(t) = 19*t**3 + 5*t**2 - 6*t + 5. Let f(o) = 29*o**3 + 8*o**2 - 9*o + 8. Let j(p) = -5*f(p) + 8*z(p). Find the second derivative of j(c) wrt c.
42*c
Let r(z) = -9*z**3 + 2*z - 5. Let b(m) = -4*m**3 + m - 2. Let s(x) = 5*b(x) - 2*r(x). What is the second derivative of s(a) wrt a?
-12*a
What is the first derivative of 3*b + 11 - 8*b - 11*b wrt b?
-16
Let n(b) = -2*b**5 + 2*b - 5. Let l(v) = -v**5 + v - 2. Let z(g) = -5*l(g) + 2*n(g). Find the second derivative of z(y) wrt y.
20*y**3
Find the second derivative of 7*q**3 + 10*q - 3 - 5*q**2 + 5*q - 2*q wrt q.
42*q - 10
Let x be -2 + 3/(9/3). Let q be (-1)/(x/4) - -1. What is the first derivative of q*r**2 - r**2 + 2 - r**2 + 0 wrt r?
6*r
What is the third derivative of -15*a - 5*a - 11*a**2 + 20*a - 5*a**4 wrt a?
-120*a
Let h(f) = f**2 - 1. Let y be h(2). Find the second derivative of -3*j - 2*j - 3*j**3 + j**3 - y*j**3 wrt j.
-30*j
Let g be ((-1)/(-4))/((-1)/(-4)). Let w be 0 + g - 0/(-4). Differentiate -w - 2*c**2 + 0*c**2 + 3 wrt c.
-4*c
Let n(w) be the third derivative of w**5/12 + 7*w**4/24 - 4*w**2. What is the second derivative of n(m) wrt m?
10
Let s(r) = -r**2 + 3*r + 4. Let x be (-2)/15 + (-13)/15. Let t(u) = u**2 - u - 1. Let b = -6 + 3. Let c(v) = b*t(v) + x*s(v). Differentiate c(j) wrt j.
-4*j
Let b(m) = 15*m**2 - 5*m + 3. Let h(l) = 30*l**2 - 11*l + 7. Let n(f) = -7*b(f) + 3*h(f). Find the second derivative of n(u) wrt u.
-30
Let c(o) be the first derivative of o**5/20 - o**3/2 - 3*o**2/2 - 5. Let r(q) be the second derivative of c(q). Differentiate r(b) wrt b.
6*b
Let y(s) = -s**2 + s - 1. Let u(o) = 11*o**2 - 3*o + 10. Let q(k) = u(k) + 3*y(k). What is the derivative of q(w) wrt w?
16*w
Let c(j) be the third derivative of 0*j**5 + 0 + 0*j**3 - 1/120*j**6 - 1/12*j**4 + j**2 + 0*j. What is the second derivative of c(g) wrt g?
-6*g
What is the second derivative of -5 + 5 - 5*s**5 - 2*s + 9*s wrt s?
-100*s**3
Let t(j) be the third derivative of j**9/5040 - j**5/120 - j**4/8 + 2*j**2. Let q(r) be the second derivative of t(r). Find the first derivative of q(l) wrt l.
12*l**3
Let l be (9 + -1)*1/2. What is the third derivative of -v**3 + v**2 + v**3 + 2*v**l + v**2 wrt v?
48*v
What is the third derivative of 475*r**5 + 4*r**4 - 4*r**4 + 25*r**2 - 478*r**5 wrt r?
-180*r**2
Let j(d) be the second derivative of d**7/315 - 7*d**5/120 + d**4/4 + 6*d. Let g(w) be the third derivative of j(w). Differentiate g(p) with respect to p.
16*p
Let k be 5/1*(-6)/(-5). Find the third derivative of 2*o**k - 4*o**6 - 2*o**6 + 0*o**6 - 7*o**2 wrt o.
-480*o**3
Let p(n) be the third derivative of 7*n**5/60 - 7*n**3/6 - 12*n**2. Differentiate p(h) wrt h.
14*h
Let k = 13 - 8. Let y(w) = 2*w**2 + 3. Let q(r) = -3*r**2 - 4. Let g(t) = k*q(t) + 6*y(t). What is the first derivative of g(z) wrt z?
-6*z
Let w(j) = 8*j**3 - 12*j**2 - 18*j + 18. Let k(n) = n - 1. Let g(z) = 36*k(z) + 2*w(z). What is the third derivative of g(i) wrt i?
96
Let i(g) be the second derivative of -5*g**7/42 + g**4/3 + 5*g. Find the third derivative of i(n) wrt n.
-300*n**2
Let a(z) = -z**3 - 8*z**2 - z - 3. Let n be a(-8). What is the third derivative of 5*g**5 + g**2 - 3*g**5 + 4*g**n - 3*g**5 wrt g?
180*g**2
Let w(x) be the third derivative of x**8/3360 - x**5/40 - x**4/6 - 4*x**2. Let d(t) be the second derivative of w(t). Find the first derivative of d(n) wrt n.
6*n**2
Find the third