3
Let b(d) be the first derivative of 4 - 7/2*d**2 - 7/3*d**3 + 0*d. What is the second derivative of b(n) wrt n?
-14
What is the third derivative of 9*a**2 + 5*a**5 + 2*a**2 + 3*a**6 - 5*a**5 wrt a?
360*a**3
Let u(z) be the second derivative of -z**9/15120 + z**6/144 + z**4/6 + 6*z. Let l(r) be the third derivative of u(r). Find the second derivative of l(j) wrt j.
-12*j**2
Let u(y) = y**2 - 4*y + 2. Let f(g) = 3*g - 2 - 2*g**2 + 1 + g**2. Let r(x) = -4*f(x) - 3*u(x). Differentiate r(d) wrt d.
2*d
Let v be (-1 - (-4 + 1))*2. Find the second derivative of -5*d**3 + 2*d**3 - v*d + 2*d**2 - 2*d**2 wrt d.
-18*d
Let w(i) be the second derivative of 0*i**3 + 7/12*i**4 - 1/6*i**6 + 9*i + 0*i**2 + 0 + 0*i**5. What is the third derivative of w(d) wrt d?
-120*d
What is the second derivative of f - 9*f - 9*f**3 + 26*f**3 wrt f?
102*f
Let t(z) = -20*z**3 - 4*z**2 + 5*z - 4. Let k(y) = -20*y**3 - 3*y**2 + 6*y - 3. Let u(p) = 4*k(p) - 3*t(p). Find the second derivative of u(j) wrt j.
-120*j
Let s(z) = -18*z**4 - 5*z**3 + 5*z**2 + 5*z - 9. Let x(o) = -18*o**4 - 6*o**3 + 6*o**2 + 6*o - 10. Let l(u) = -6*s(u) + 5*x(u). Differentiate l(n) wrt n.
72*n**3
Let c be -3*2/(2*-1). Find the second derivative of b - b**2 + c*b + 0*b - 5*b wrt b.
-2
Suppose 5*o - 3*a + 7 - 19 = 0, 3*a - 12 = -3*o. Suppose o*u - 13 + 1 = 0. What is the second derivative of y - 2*y**3 + 0*y + u*y**3 - 4*y wrt y?
12*y
Let k(w) = 12*w**5 + 11*w**4 - 9*w - 11. Let p(t) = -6*t**5 - 6*t**4 + 5*t + 6. Let i(o) = 6*k(o) + 11*p(o). What is the second derivative of i(x) wrt x?
120*x**3
Let j(i) be the second derivative of -2*i**6/5 - 7*i**2/2 - 3*i. What is the derivative of j(y) wrt y?
-48*y**3
Find the second derivative of 5*l**3 - 3*l**3 + 3*l - 9*l**3 + 2*l wrt l.
-42*l
Suppose 3*u - 12 = -0*u. Suppose -4*z + u*m + 25 = 5, -2*m - 10 = 0. Find the second derivative of -t**3 + z*t**3 + 4 - 2*t - 4 wrt t.
-6*t
Suppose -2*b + 3 + 1 = 0. Let q(k) be the first derivative of 0*k**4 + 1 + 0*k + 4/5*k**5 + 0*k**b + 1/3*k**3. Find the third derivative of q(p) wrt p.
96*p
Let f(v) be the third derivative of -v**5/30 + v**4/8 - v**3 - 3*v**2. Let z(q) = q - 1. Let r(g) = -f(g) + 3*z(g). Differentiate r(s) with respect to s.
4*s
Let c(u) = 5*u**4 + 3*u**3 - 3*u**2 - 3. Let q(m) = -10*m**4 - 5*m**3 + 7*m**2 + 5. Let p(l) = 5*c(l) + 3*q(l). What is the third derivative of p(v) wrt v?
-120*v
Let h(l) = -l**2 - 8*l - 3. Let p be h(-5). Differentiate 4*g**3 + 12*g**2 - p*g**2 + 6 with respect to g.
12*g**2
Suppose 2*f = -f - 2*v + 6, 0 = 5*v - 15. Find the second derivative of -4*i + f*i + 3*i - 4*i**2 + 2*i**2 wrt i.
-4
Let k = 4 - 1. Let u = 5 - k. Find the third derivative of -4*x**2 + 5*x**2 - x**3 + x**u wrt x.
-6
Suppose 0 = -3*y - j + 155, 250 - 58 = 4*y + 5*j. Find the second derivative of n - 28*n**3 + y*n**3 - 16*n**3 wrt n.
54*n
Let b(h) be the third derivative of h**7/70 - h**5/12 - 4*h**2. Find the third derivative of b(k) wrt k.
72*k
Let i(u) = -8*u + 49. Let q(h) = 8*h - 49. Let y(t) = -5*i(t) - 4*q(t). What is the first derivative of y(o) wrt o?
8
Let b(a) be the second derivative of a**7/420 - a**5/120 + a**3/3 + a. Let h(k) be the second derivative of b(k). Find the second derivative of h(y) wrt y.
12*y
Let k(t) = -t**3 - 5*t**2 - 4*t + 2. Let j be k(-4). Suppose -6*z + 8 = -j*z. Find the first derivative of -z*x**2 + 3 - 3 - 3 wrt x.
-4*x
Find the second derivative of 3*n + 2*n + 6*n - 5*n**2 wrt n.
-10
Let v(y) be the second derivative of y**5/10 - y**3/6 + y. Let s(b) = -3*b**3 + 2*b. Let l(m) = 5*s(m) + 7*v(m). What is the second derivative of l(p) wrt p?
-6*p
What is the second derivative of -514*k + 49*k**5 - 5 + 0 + 512*k wrt k?
980*k**3
Let x(q) be the second derivative of q**4 + q**3/6 - 9*q**2 - 2*q + 28. Differentiate x(w) wrt w.
24*w + 1
Let x(n) = -n**3 - 2*n**2 - 3*n - 1. Let g be 3/3*2/(-1). Let i be x(g). What is the second derivative of 3*v + 2*v**5 - 3*v**i + 3*v**5 - v wrt v?
40*v**3
Let t(n) = n**3 + n**2 - 1. Let p(w) = -8*w**3 - 6*w**2 - 4*w + 6. Suppose -2*i + 3 = i. Let y(c) = i*p(c) + 6*t(c). Find the second derivative of y(l) wrt l.
-12*l
Let b(c) = -c**2 - 10*c - 7. Let q be b(-9). What is the third derivative of 3*w**2 + w**3 - 3*w**6 + w**3 - q*w**3 wrt w?
-360*w**3
Let f(r) be the third derivative of r**5/20 + 3*r**4/4 + 3*r**2. Find the second derivative of f(u) wrt u.
6
Let z(f) = 37*f**2 - 10. Let u(y) = 75*y**2 - 19. Let k(i) = -3*u(i) + 5*z(i). What is the derivative of k(d) wrt d?
-80*d
Let n(l) = l - 3. Suppose 3*f = 6 + 3. Let g(k) = 2*k - 4. Let t(a) = f*n(a) - 4*g(a). What is the first derivative of t(m) wrt m?
-5
Let i(s) = s**4 + s**2. Let n(j) = -14*j**4 + 2*j**2 - 25. Let f(r) = -2*i(r) + n(r). Find the first derivative of f(t) wrt t.
-64*t**3
Let t(r) = r. Let z be t(-1). Let v be (2 - 3)*z + 10. Find the third derivative of 0*i**3 - 10*i**2 - 3*i**3 + v*i**2 wrt i.
-18
Let y(n) be the third derivative of n**8/28 - 3*n**4/8 + 11*n**2. What is the second derivative of y(j) wrt j?
240*j**3
Suppose 4*i - 3*o = 14 + 27, -2*o = 5*i - 34. What is the second derivative of i*v**4 + 6*v - v**4 - 3*v wrt v?
84*v**2
Let r(z) = -z + 18. Let i be r(9). Let w = -4 + i. Find the second derivative of -8*g**w + 2*g + g + 7*g**5 wrt g.
-20*g**3
Let k(h) be the first derivative of -h - 3*h - 3 - 2*h**2 - 1 - 1. What is the derivative of k(c) wrt c?
-4
Let x(q) = 3*q**5 + 3*q**2 - 2*q + 2. Let j(l) = -l**5 + l**2 - l + 1. Let t(b) = -2*j(b) + x(b). What is the third derivative of t(u) wrt u?
300*u**2
Suppose 1 = o, 0 = i - 3*i + 5*o - 23. Let q be (-6)/i + (-1)/(-3). What is the derivative of -q - n**4 + 0 + 2*n**4 wrt n?
4*n**3
Suppose -j = 3*j. What is the second derivative of x - 3*x**4 + x - 5*x + j*x wrt x?
-36*x**2
Let t(k) = k + 2. Let x be t(0). Differentiate 7 + l**4 - x*l**4 - 5 with respect to l.
-4*l**3
Let q(i) be the first derivative of 2*i**5/5 - 19*i**3/3 + 63*i - 66. Differentiate q(p) with respect to p.
8*p**3 - 38*p
Suppose -4*k - 2*z + 12 = 0, -12 = -5*k - 2*z + 2. Let x be k*5/(15/6). Find the first derivative of -3 - p**4 - 4*p**3 + 4*p**3 + 3*p**x wrt p.
8*p**3
Let u(j) = -5*j**4 + j**3 + 65*j**2 + 2. Let q(k) = k**4 + k**3 + 1. Let d(o) = -2*q(o) + u(o). What is the third derivative of d(f) wrt f?
-168*f - 6
Let b = 7 + -4. Suppose b*x - c + 4*c = -3, 4*c = -5*x. What is the third derivative of -3*j**4 + 6*j**x + 0*j**4 - j**2 wrt j?
72*j
What is the derivative of 14*i**4 - 2*i - 28*i**4 - 12*i**4 - 46 wrt i?
-104*i**3 - 2
Let g(j) = 11*j + 5. Let r be g(3). What is the third derivative of r*p + 5*p**6 - 38*p + 6*p**2 wrt p?
600*p**3
Let h(c) = -15*c + 5. Let i(z) = -14*z + 6. Let q(l) = 5*h(l) - 6*i(l). Differentiate q(k) wrt k.
9
Let z(t) be the third derivative of -t**5/60 + 23*t**3/6 - 12*t**2. Find the first derivative of z(v) wrt v.
-2*v
Let d(f) = -33*f**3 - 13*f**2 + 8*f + 8. Let t(l) = -11*l**3 - 4*l**2 + 3*l + 3. Let u(y) = 3*d(y) - 8*t(y). What is the third derivative of u(r) wrt r?
-66
Let x be (0 - -1)*0 - -3. Find the third derivative of 2*m**3 - 3*m**x + 7*m**2 - 5*m**3 wrt m.
-36
Let r(b) be the second derivative of b**6/2 + 5*b**3/2 - 12*b. What is the second derivative of r(g) wrt g?
180*g**2
Let d(o) = -o - 1. Let p be d(-5). Differentiate -p*j + 5*j - 3 - j + 2*j**3 wrt j.
6*j**2
Suppose -4*j = -8*j + 8. Find the first derivative of -4*w**j - w**2 - 1 + w**2 + 2*w**2 wrt w.
-4*w
Let k = -7 + 12. What is the second derivative of -k*j**2 - 2*j + 3*j**2 - j**2 wrt j?
-6
Let r(l) be the third derivative of -l**4/12 + 2*l**3/3 - 15*l**2. Differentiate r(h) with respect to h.
-2
What is the second derivative of -u - 23*u**2 + 15*u**2 + 11*u**2 wrt u?
6
Let u = -4 + 9. Find the second derivative of -3*z**u - 2*z + z - 2*z wrt z.
-60*z**3
Suppose 13 = -2*w - 3*q + 5, 0 = 4*w + 2*q. Find the third derivative of 6*f**2 + 4*f**5 + 5*f**3 + 0*f**w - 5*f**3 wrt f.
240*f**2
What is the second derivative of 26*z**3 - 8*z + 14*z - 22*z wrt z?
156*z
Let t(o) be the second derivative of -2*o**7/21 + o**4/2 - 6*o. Find the third derivative of t(c) wrt c.
-240*c**2
Let k(x) = x + 20. Let w be k(-12). Suppose 2*u - 4*f = -0*f + w, 4*u = -5*f - 10. What is the second derivative of -5*r - 3*r**3 + 2*r + u*r**3 wrt r?
-18*r
Let m(y) = -y**3 + 