pose -5*f - 45 = -5*m, -l*f = -2*m + f + 30. What is the first derivative of t**3 - 3 - 3 + m wrt t?
3*t**2
Let r(m) be the first derivative of 5*m**4/24 + 5*m**3/6 - 2*m**2 - 4. Let a(z) be the second derivative of r(z). Differentiate a(t) wrt t.
5
Let w(d) = -7*d**2 - d + 13 + d - 3*d**4 + 2*d**2. Let z(m) = m**4 + 3*m**2 - 7. Let y(q) = 3*w(q) + 5*z(q). Find the first derivative of y(f) wrt f.
-16*f**3
Let l(o) be the first derivative of 8*o**3 - 15*o**2 + 19. What is the second derivative of l(s) wrt s?
48
Suppose 0 = 3*y + 3*j + 30, -3*j - 25 = -10. Let m be (-31)/y - 2/10. What is the third derivative of 3*l**6 + l**m + 3*l - 3*l + 2*l**2 wrt l?
480*l**3
Differentiate 20 - 28 - 55 + 38*a**3 with respect to a.
114*a**2
Let k(o) = -19*o**4 - 11*o**3 - 5*o**2 - 11*o - 11. Let q(v) = v**3 + v + 1. Let t(j) = 2*k(j) + 22*q(j). What is the third derivative of t(r) wrt r?
-912*r
Let k(i) = -141*i**2 - 10*i**3 + 137*i**2 - 6 - 6*i**3. Let x(n) = -n**3 - n**2 - 1. Let q(j) = k(j) - 6*x(j). What is the third derivative of q(s) wrt s?
-60
Suppose 3*b - 21 = -3*m, 3*b - m - 6 = -1. Suppose 5*t = -4*d + 25, -3*t = -4*t + 5. Find the third derivative of c**3 + 0*c**b - c**2 + d*c**2 wrt c.
6
Let c(q) be the second derivative of 0 + 7*q - 1/3*q**4 + 0*q**3 - 2*q**2. Differentiate c(z) with respect to z.
-8*z
Let u(z) be the first derivative of -2*z**5/5 + 6*z + 4. What is the derivative of u(c) wrt c?
-8*c**3
Let j(l) = -l**3 + 7*l**2 - 7*l + 9. Let b be j(6). Find the third derivative of z**3 - z**b - 10*z**4 + 18*z**4 + 7*z**2 wrt z.
192*z
Suppose 3*p + 0*p - 12 = 0. Suppose 0*r = 3*r. Find the second derivative of k**p - 4*k + r*k + 3*k wrt k.
12*k**2
Let j(r) be the third derivative of -11*r**6/60 - 7*r**5/20 + 24*r**2. What is the third derivative of j(s) wrt s?
-132
Let c(i) be the second derivative of 0*i**3 + 0 + 1/30*i**6 + 0*i**2 - i + 0*i**5 + 1/12*i**4. What is the third derivative of c(o) wrt o?
24*o
Let z = 8 + -5. Find the third derivative of 0*k**3 - 2*k**2 - k**z + 5*k**2 wrt k.
-6
Let u(c) = -40*c**2 + 14*c + 4. Let l(x) = -1. Let t(f) = -4*l(f) - u(f). What is the second derivative of t(q) wrt q?
80
Let s(f) be the first derivative of -6*f**3 - 3*f**2/2 + 21. What is the second derivative of s(q) wrt q?
-36
Suppose -p = -9*p. Let k(a) be the second derivative of 2*a + 0 + 1/3*a**4 + 1/6*a**3 + p*a**2. What is the second derivative of k(y) wrt y?
8
Let j = -70 + 98. Find the third derivative of 2 + j*p**2 - 27*p**2 - 2 + 7*p**4 wrt p.
168*p
What is the first derivative of 3 + 21*a + 16*a - 30*a wrt a?
7
What is the derivative of 24 - 3*f**3 - 6*f**2 - 7 + 4*f**2 - 14*f**2 wrt f?
-9*f**2 - 32*f
Let b = 2 + 0. Find the third derivative of -x**2 + 0*x**2 + b*x**5 - 8*x**5 + 2*x**2 wrt x.
-360*x**2
Let u be ((-4)/6)/((-1)/6). Suppose 5*z = 5, 4*z + 6 - 2 = 2*p. Find the second derivative of -4*y + 5 - 5 + p*y**u wrt y.
48*y**2
Let l(m) = m**3 - 9*m**2 + 7*m + 10. Let w be l(8). What is the first derivative of 1 - g**2 + 1 - 1 + w wrt g?
-2*g
Let g(f) be the first derivative of -f**6/72 - f**4/12 - f**3 - 4. Let c(p) be the third derivative of g(p). What is the first derivative of c(t) wrt t?
-10*t
Let r = 13 + -9. Find the third derivative of -8*s**3 - 82*s - r*s**2 + 82*s + 2*s**2 wrt s.
-48
Suppose -2*v + 0*v + 6 = 0. Let l = v - 0. Differentiate -3*m**3 + 1 + 2 + l - 5 wrt m.
-9*m**2
Let a(q) = q**3 - 7*q**2 + q - 7. Let o be a(7). Suppose x - d - 7 = d, -x - 2*d + 23 = o. Find the third derivative of 2*y**2 + x - 2*y**3 - 15 wrt y.
-12
Let p = -2 + 5. Let q(y) = -y**3 + 2*y**2 + 2*y + 3. Let v be q(p). What is the first derivative of 1 - 3 - 4*s**4 + v - 2 wrt s?
-16*s**3
Let z(c) be the second derivative of 13*c**8/56 + c**4/4 - 14*c. What is the third derivative of z(h) wrt h?
1560*h**3
Suppose 0 = -2*k + a + 13, -21 = -2*k - k + 3*a. Let p = -1 + 4. What is the second derivative of k*m**3 + 0*m - m - p*m**3 wrt m?
18*m
Let t(n) = -4*n**4 + 3*n**3 - n**2 + 3*n. Let g(o) = -16*o**4 + 11*o**3 - 5*o**2 + 11*o. Let j(m) = 6*g(m) - 22*t(m). Find the third derivative of j(k) wrt k.
-192*k
Suppose 0 = -c + 4*k - 8, -5 = -5*k. Let o = 6 + c. Find the third derivative of -5*y**2 - o*y**3 + 3*y**2 + 5*y**2 wrt y.
-12
Let t = 0 - -2. What is the second derivative of c**t - 2*c - 2*c**2 - c**2 wrt c?
-4
Let g(p) = 4*p**3 + 2*p - 7. Let l(j) = -9*j**3 - 5*j + 15. Let w(q) = 5*g(q) + 2*l(q). Differentiate w(n) wrt n.
6*n**2
Suppose l - 16 = u + u, u + l = -5. Let p = 9 + u. What is the third derivative of -w**2 - 2*w**2 + 0*w**2 - p*w**4 + w**4 wrt w?
-24*w
Let p(b) be the second derivative of 0 + 2/3*b**3 + 0*b**4 - 4*b + 0*b**2 - 1/4*b**5. What is the second derivative of p(w) wrt w?
-30*w
Let z(t) = t**3 + 11*t**2 + 9*t - 8. Suppose -x - 39 = 4*d, 3*d - 3*x + 48 = 15. Let f be z(d). What is the derivative of -h**f + h**2 - 2*h**4 - 2 wrt h?
-8*h**3
Suppose 4*f - 2*f - 8 = 5*u, 20 = 5*f + 4*u. Find the second derivative of 5*w**4 + 0*w + w - 12*w**4 + 5*w**f wrt w.
-24*w**2
Suppose 2*q = l + 4, 3*l - 9 = 6*l - 5*q. Let y be (7 - 3)/(l - 0). Find the first derivative of 0*w - 2*w + y + 2 - 3 wrt w.
-2
Let h be -9*(0 + (-1)/3). Let z(f) = f**3 + 4*f**2 + 2*f - 3. Let x be z(-3). What is the second derivative of x - 2*g**3 + 0 - 2*g**3 - h*g wrt g?
-24*g
Let c(k) = 51*k**2 + 5*k - 39. Let l(f) = -76*f**2 - 7*f + 59. Let t(d) = -7*c(d) - 5*l(d). Differentiate t(v) wrt v.
46*v
Let h(x) be the second derivative of -x**8/56 - 7*x**4/12 + 7*x. Find the third derivative of h(u) wrt u.
-120*u**3
Differentiate 18 - 42 + 11 - 8*t**4 wrt t.
-32*t**3
Suppose -3*c - c = -z - 7, 4*z - 4*c + 4 = 0. Find the first derivative of -42*v + z + 4*v**4 + 42*v wrt v.
16*v**3
Find the second derivative of 7*s**2 + 7*s + s**2 + s**2 wrt s.
18
Let o(h) = -h**2 + h - 1. Let w(r) = -4*r**3 - 5*r**2 + 5*r. Let f(j) = 5*o(j) - w(j). Find the first derivative of f(m) wrt m.
12*m**2
Let g(s) = 5*s**2 - 2*s + 1. Let p be g(1). What is the third derivative of -p*j**5 + 2*j**5 + 3*j**5 + 2*j**2 - 2*j**5 wrt j?
-60*j**2
Let z(k) be the second derivative of 1/21*k**7 + 0*k**5 + 0 - 3*k + 0*k**2 + 0*k**6 + 1/12*k**4 + 0*k**3. Find the third derivative of z(a) wrt a.
120*a**2
Let y(n) be the first derivative of 0*n**2 + 0*n**4 + 2*n + 2/5*n**5 + 0*n**3 + 4. Find the first derivative of y(t) wrt t.
8*t**3
Let l(d) be the first derivative of 0*d - 1 + 0*d**4 + 0*d**3 - 1/3*d**6 - 3/2*d**2 + 0*d**5. What is the second derivative of l(w) wrt w?
-40*w**3
Suppose b - 4*b = 0. What is the second derivative of b*i**2 + 0*i**5 - 2*i**5 + 2*i + 0*i**2 wrt i?
-40*i**3
Let k(o) = 3*o**2 + 7*o - 3. Let g(j) = 4*j**2 + 8*j - 3. Let p(u) = 5*g(u) - 6*k(u). Let b(t) be the first derivative of p(t). Differentiate b(f) wrt f.
4
Let o(u) be the second derivative of -23*u**6/30 + 18*u**2 + 10*u. Differentiate o(w) with respect to w.
-92*w**3
Let f be (-108)/(-48)*(-2)/(-3). Let o(t) be the second derivative of -f*t**2 - 3*t + 0 + 1/2*t**3. Differentiate o(p) wrt p.
3
Let p(m) be the first derivative of -m**5/20 - m**3/2 - 4*m - 6. Let j(b) be the first derivative of p(b). Find the second derivative of j(w) wrt w.
-6*w
Let v = -6 - -11. Let d be (v - 1) + (3 - 5). What is the third derivative of -2*s**4 - 6*s**2 + 4*s**d + s**4 wrt s?
-24*s
Let k = 0 - -5. Find the first derivative of 0*m**2 + 8 - 4*m**2 - k*m**2 + 3*m**2 wrt m.
-12*m
What is the first derivative of 61*m - 61*m + 6*m**2 + 2 wrt m?
12*m
Let o = -52 + 31. Let v be (-2)/8 - o/4. What is the second derivative of -4*i + 2*i - 3*i**2 + i**2 + v*i**2 wrt i?
6
What is the second derivative of 68*c**2 - 8*c + 73*c**2 - 126*c**2 wrt c?
30
Find the second derivative of m**5 - 5*m**2 - 6*m - 7*m**5 + 5*m**2 wrt m.
-120*m**3
Suppose 0*g + 2*s - 14 = -g, 0 = 5*s - 25. Suppose -g*t + 20 = t. Differentiate t - 2 - 1 - h**4 wrt h.
-4*h**3
Let u(w) = 5*w + 6. Let q(j) = -5*j - 11 - j + 4 + 0*j. Let y(a) = 2*q(a) + 3*u(a). Differentiate y(r) with respect to r.
3
Let m(r) be the second derivative of -r**7/21 + 7*r**4/6 + 3*r. Find the third derivative of m(d) wrt d.
-120*d**2
Let c(z) be the first derivative of -5*z**2/2 + 6*z - 7. Differentiate c(h) wrt h.
-5
Let q = -14 - -16. Find the second derivative of -c + 2*c + 6*c**q + 4*c wrt c.
12
What is the