*3
Suppose -2*g + 3*g = 3. Let j = g - 3. Find the second derivative of j*k + 2*k - 2*k**3 + 0*k**3 - 4*k wrt k.
-12*k
Let g(z) be the second derivative of -19*z**4/12 - 5*z**2 + 27*z. Find the first derivative of g(i) wrt i.
-38*i
Let r(k) = k**4 - k - 1. Let y(z) = -4*z**4 - 7*z**2 - 5*z - 5. Let h(q) = -5*r(q) + y(q). What is the third derivative of h(x) wrt x?
-216*x
Let x(d) be the second derivative of 0 + 0*d**2 + 0*d**4 + 4*d + 1/20*d**5 - 1/2*d**3. Find the second derivative of x(f) wrt f.
6*f
Let p(g) be the first derivative of -g**4/4 - 2*g**3 + 3*g**2 - 7*g + 3. Let u be p(-7). Find the second derivative of c**4 - 3*c + 2*c + 0 + u wrt c.
12*c**2
Let p(q) = 5*q**2 + 3*q - 1. Let t = -5 + 10. Let c(s) = -s**2 + 3*s - 8*s**2 + 2 - 8*s. Let a(g) = t*p(g) + 3*c(g). What is the first derivative of a(b) wrt b?
-4*b
What is the second derivative of 5*c**3 - 182 + 182 + 10*c wrt c?
30*c
Let h(r) be the second derivative of 3*r**5/20 + r**3/2 - 6*r. Find the second derivative of h(m) wrt m.
18*m
Let y(n) be the first derivative of -5*n**3/3 + 3*n**2 - 21. Find the second derivative of y(h) wrt h.
-10
Let l(x) = 13*x**2 - 2*x + 3. Let q(v) = -5*v**2 + 2 + 19*v**2 - v + 1 + 1. Let j(t) = 4*l(t) - 3*q(t). Find the second derivative of j(y) wrt y.
20
Let v(c) be the third derivative of c**8/336 - c**5/12 + 4*c**2. Find the third derivative of v(d) wrt d.
60*d**2
Differentiate -5 + 1 + 6*d - 3 + 0 wrt d.
6
Suppose 3*p - 6 = 30. Find the second derivative of -p*d + 5*d**2 + 9*d - d**2 wrt d.
8
Let w(f) = f**3 - 12*f**2 + 11*f + 3. Let a be w(11). Find the second derivative of 3*r**3 - r + 2*r**3 + 0*r**a wrt r.
30*r
Suppose -3 - 1 = -4*y. Let k be -1 - (-2)/y - -4. What is the derivative of 1 + k*b**4 - b**4 - 3*b**4 wrt b?
4*b**3
What is the second derivative of -38*k**3 - 4637 + 35*k + 4637 wrt k?
-228*k
Suppose 5*f = b - 0*b + 22, -4*f + 20 = 0. Find the third derivative of -b*k**6 - 8*k**2 + 2*k**2 + 4*k**2 wrt k.
-360*k**3
Let l = -9 - 0. Let g be ((-30)/l)/((-6)/(-9)). Find the second derivative of -5*z**2 + g*z**2 - z + 3*z**3 wrt z.
18*z
Suppose -5*u - 2*n = 2*n - 24, 0 = u - 4*n. What is the second derivative of 2*d + 3*d**u - d**3 - d**4 + d**3 wrt d?
24*d**2
Let b(r) be the third derivative of -1/60*r**6 + 0 + 2*r**2 + 0*r**4 + 0*r - 1/20*r**5 + 0*r**3. What is the third derivative of b(x) wrt x?
-12
Let y(k) = -k**3 - k**2 - k + 1. Let m(v) = -27*v**3 - 18*v**2 - 36*v + 18. Let p(t) = m(t) - 18*y(t). Find the second derivative of p(d) wrt d.
-54*d
Let k(h) = h**3 - 6*h**2 + 5*h + 4. Let l be k(5). What is the third derivative of -29 + l*m**2 - 2*m**4 + 29 wrt m?
-48*m
Let g = -4 + 6. Let i(k) be the third derivative of 0*k**5 + 0*k - 1/120*k**6 + 2*k**g + 0 - 1/6*k**3 + 0*k**4. Differentiate i(w) wrt w.
-3*w**2
Let q = 7 + -2. What is the second derivative of -5*a**3 - 1 + q*a + 1 wrt a?
-30*a
Let h be 2/(-7) + (-180)/(-42). Suppose 1 = -f + h. Find the second derivative of -2*x**3 + 0*x - 2*x - x - x**f wrt x.
-18*x
Let r(l) = -6*l**3 + 14*l**2 - 3*l - 3. Let x(z) = -5*z**3 + 14*z**2 - 4*z - 4. Let q(u) = 4*r(u) - 3*x(u). What is the third derivative of q(d) wrt d?
-54
Let m = 27 + -18. What is the third derivative of -x**2 - x**5 + 7*x**5 - m*x**2 wrt x?
360*x**2
Let o(p) be the second derivative of 7*p**5/20 - 3*p**4/4 - 8*p. What is the third derivative of o(d) wrt d?
42
Let a(c) = 8*c + 2. Let q(y) = -23*y - 5. Let x(h) = -17*a(h) - 6*q(h). Let m be x(4). What is the third derivative of z**2 - 2*z**4 - 4*z**2 - z**m wrt z?
-72*z
Let j(z) be the third derivative of -z**7/2520 - z**6/90 - z**5/60 + 4*z**2. Let g(r) be the third derivative of j(r). Find the first derivative of g(f) wrt f.
-2
Let b(m) be the first derivative of 39*m**5/5 - 7*m**2/2 - 26. What is the second derivative of b(l) wrt l?
468*l**2
Find the second derivative of -8*m**3 + 6*m**3 + 2*m - 19*m**3 + 7*m wrt m.
-126*m
Let g(t) be the second derivative of -7*t**4/12 + 7*t**3/6 - 5*t. Find the second derivative of g(b) wrt b.
-14
Let k be ((-9)/2)/(1/(-2)). Suppose 3 = -v, 4*v + k = f - 2*f. Find the third derivative of -2*i**5 - i**2 - i**2 + f*i**2 wrt i.
-120*i**2
Let g(l) = -l**3 - 2*l**2 - l + 2. Let t be g(-2). Find the second derivative of 5*o + 0*o - 3*o**t - o wrt o.
-36*o**2
Let a(l) be the second derivative of l**7/1260 - l**6/720 - l**4/12 + 3*l. Let k(i) be the third derivative of a(i). Find the second derivative of k(v) wrt v.
4
Let t(d) = -d**2 - 4*d + 5. Let o be t(-4). Let h = 11 - o. Find the third derivative of -b**2 - 4*b**6 - 3*b**h + 5*b**6 wrt b.
-240*b**3
Let u(d) = 8*d + 5. Let n(s) = -7*s - 4. Let w = -10 + 6. Let t(a) = w*n(a) - 3*u(a). Find the first derivative of t(q) wrt q.
4
Let x(a) = -36*a + 3. Let b(y) = -24*y + 2. Let i(c) = -8*b(c) + 5*x(c). What is the first derivative of i(q) wrt q?
12
Let r(v) be the third derivative of -11*v**4/12 - v**3/6 - 24*v**2. Find the first derivative of r(l) wrt l.
-22
Let x(n) be the first derivative of -n**7 + 8*n**3/3 + 8. Find the third derivative of x(i) wrt i.
-840*i**3
Let a(p) = -40*p**5 - 11*p**3 - 6*p**2 + 11*p. Let r(o) = 8*o**5 + 2*o**3 + o**2 - 2*o. Let i(l) = 2*a(l) + 11*r(l). Find the third derivative of i(s) wrt s.
480*s**2
Let z(j) be the first derivative of 2*j**5/5 - 4*j + 6. Find the first derivative of z(k) wrt k.
8*k**3
Find the third derivative of 39*t**6 + 16*t**2 - 65*t**3 + 3*t**2 + 65*t**3 wrt t.
4680*t**3
What is the second derivative of 9*w - 10*w - 6*w - 6*w**3 wrt w?
-36*w
Let b(d) = -4*d**3 - 23*d**2 - 30. Let c(j) = 7*j**3 + 45*j**2 + 59. Let h(f) = 5*b(f) + 3*c(f). Differentiate h(s) with respect to s.
3*s**2 + 40*s
Let u(n) be the first derivative of -2*n**6/15 + 5*n**4/12 + 2*n - 3. Let d(g) be the first derivative of u(g). What is the third derivative of d(k) wrt k?
-96*k
What is the derivative of 4 - 7*o**4 - 1 + 2*o**4 + 3*o**4 wrt o?
-8*o**3
Let c = 8 + -6. Find the third derivative of 2*l**3 - 2*l**3 + l**6 + 3*l**c wrt l.
120*l**3
Suppose 2*q - 2 = 0, -5*g + 6*q - 5*q = -14. Suppose -2*s + g = s. Find the first derivative of 2*t + t**3 - 2*t - 4 + s wrt t.
3*t**2
Let h(m) be the third derivative of m**4/24 - m**3/6 + 5*m**2. What is the derivative of h(r) wrt r?
1
Let u be 2/((-1)/3*-2). Find the third derivative of 6 + 0*m**3 - u*m**3 - 3*m**2 - 6 wrt m.
-18
Let r(g) = g**2 + g - 1. Let j(s) = -13*s**2 - 3*s - 14. Let b(i) = -j(i) - 3*r(i). Differentiate b(c) wrt c.
20*c
Let p(i) be the first derivative of 3 + 0*i**4 + 1/5*i**5 + 0*i**2 - 4/3*i**3 + 0*i. What is the third derivative of p(s) wrt s?
24*s
Let t(u) be the first derivative of -1 + 4*u + 0*u**3 - 1/2*u**4 + 0*u**2. What is the first derivative of t(k) wrt k?
-6*k**2
Suppose 4*z + 3*m = 26, 0*z - 2*m = -3*z + 11. Suppose -z*c = 4*l + 6, 8 = -4*c - 5*l - 4. What is the derivative of 1 - c*o - o**4 + 2*o wrt o?
-4*o**3
Let l(r) = r**3 + r**2 + r + 1. Let t(k) = 3*k**3 + 8*k**2 + 8*k + 17. Let x(j) = 24*l(j) - 3*t(j). What is the derivative of x(d) wrt d?
45*d**2
Let c = 6 - 6. Let x be (c + (1 - -2))/1. Find the third derivative of -q**2 - 3*q**4 + x*q**2 - 3*q**2 + 2*q**2 wrt q.
-72*q
Let l(u) be the third derivative of -u**6/120 + u**4/12 + u**3/6 + u**2. Let g(z) be the first derivative of l(z). Differentiate g(q) with respect to q.
-6*q
Let j(h) be the third derivative of 13*h**6/120 + h**4/12 - 17*h**2. What is the second derivative of j(z) wrt z?
78*z
Find the second derivative of 4*t**2 + 3*t - 4*t**2 + 3*t**4 wrt t.
36*t**2
Let p(x) be the first derivative of -1 + 0*x**4 + 2/3*x**3 - 4/7*x**7 + 0*x**6 + 0*x**5 + 0*x**2 + 0*x. Find the third derivative of p(g) wrt g.
-480*g**3
Let a = -53/6 + 9. Let d(w) be the third derivative of 2*w**2 + 0*w**4 + 0*w + 0 + 1/60*w**5 - a*w**3. Find the first derivative of d(c) wrt c.
2*c
Let r be 3/(-6)*1/(-2)*0. Let d(o) be the third derivative of 0*o + r*o**4 + o**2 + 1/30*o**6 + 0 - 1/30*o**5 + 0*o**3. Find the third derivative of d(a) wrt a.
24
Suppose 3 = 3*q - 3. Suppose 2*o + 2*t = 7*t - 16, -o - q = -t. Differentiate 0 + 2*n**2 + 0 - o - 5*n**2 with respect to n.
-6*n
Differentiate 8 + 13*q - 28*q + 15*q + 2*q**2 wrt q.
4*q
Let o(l) = 7 - 3*l - 13 - 3. Let w(j) = 2*j + 4. Let q(y) = 2*o(y) + 5*w(y). Differentiate q(u) with respect to u.
4
Let p = 