-4*o
Let a(q) be the second derivative of 0*q**4 + 0*q**5 - 1/15*q**6 + 0*q**2 - 6*q + 0 - 1/3*q**3. What is the second derivative of a(i) wrt i?
-24*i**2
Let l(b) be the second derivative of -1/6*b**3 + 0 - 1/20*b**5 + 0*b**4 + 0*b**2 - 2*b. What is the second derivative of l(r) wrt r?
-6*r
Let j(f) = f**3 + f**2 - 1. Let p(c) = 7*c**3 + 4*c**2 + 57*c - 6. Let o(t) = -6*j(t) + p(t). What is the second derivative of o(d) wrt d?
6*d - 4
What is the third derivative of 8*d**2 + 9 - 9 - 4*d**5 wrt d?
-240*d**2
Let d(o) be the second derivative of o**5/20 - o**4/4 - 2*o**3/3 + o**2 + 2*o. Let h be d(4). What is the derivative of 1 - j**2 - h + 3*j**2 wrt j?
4*j
Let b(s) be the second derivative of s**6/30 + s**3/2 - 5*s. Find the second derivative of b(c) wrt c.
12*c**2
Suppose -14*z + 31 = -25. Let f(y) be the second derivative of 0 + 0*y**5 + 1/6*y**z + 0*y**3 + 1/15*y**6 - y + 0*y**2. Find the third derivative of f(o) wrt o.
48*o
Let c(t) = t**3 + t + 9. Let h be c(0). What is the third derivative of -8*i**2 + h*i**2 + 0*i**2 - 3*i**4 wrt i?
-72*i
Let v(b) be the second derivative of b**3/6 - 2*b. Let m be v(2). What is the second derivative of -r + 3*r**4 + 0*r**2 + 0*r**m wrt r?
36*r**2
Suppose -7*f = -3*f, -4*d - 3*f = -96. Suppose 4 - d = -5*g. What is the third derivative of -x**3 + x**4 + x**3 - 2*x**g + x**2 wrt x?
-24*x
What is the second derivative of 8*x + x + 4*x**2 - 2*x + 4*x**2 wrt x?
16
What is the second derivative of -10*o**2 + 8*o - 16 + 16 wrt o?
-20
What is the second derivative of -20*n + 46*n + 5*n - 4*n**2 wrt n?
-8
Let c = -10 - -9. Let r be c/((-3)/9 + 0). What is the second derivative of -b + 5*b**3 - b - 7*b**r wrt b?
-12*b
Suppose 0 = 4*z + m - 14, 2*m - 3 - 1 = -2*z. What is the third derivative of 9*j**4 + j**5 + j**5 + 7*j**2 - 9*j**z wrt j?
120*j**2
Find the second derivative of -3*q + 0*q - 5*q + 4*q - 7*q**3 wrt q.
-42*q
Let a(q) = -q - 2. Let g(d) = 2 - 2 + 4 + 2*d. Let j be -1 + -7 - 3/(-3). Let s(l) = j*a(l) - 4*g(l). Find the first derivative of s(v) wrt v.
-1
What is the third derivative of 7*v**3 + 7*v**3 + v**3 + 14*v**2 - 10*v**3 wrt v?
30
Let s(z) be the first derivative of -15*z**3 - 2*z + z**4 - 1 + 14*z**3 + 2*z. What is the third derivative of s(y) wrt y?
24
Suppose 37 + 28 = 5*j + 4*a, -2*a + 46 = 4*j. Find the third derivative of 0*s**4 - j*s**4 + 0*s**4 - s**2 + s**4 wrt s.
-192*s
Let x(s) = -s - 12. Let u be x(-12). Differentiate u*c**2 - 3 + 2*c**3 + 0*c**2 wrt c.
6*c**2
Let y = -5 + 8. Let n(d) = -d**2 - 15*d + 18. Let r be n(-16). Find the second derivative of -r*w**5 + 3*w**3 - 3*w**y + 2*w wrt w.
-40*w**3
Let s(f) be the second derivative of f**4/6 + 16*f**3/3 - 19*f. What is the second derivative of s(a) wrt a?
4
Let j(x) be the first derivative of -x**6/40 + x**3/6 - 3*x**2/2 + 1. Let c(l) be the second derivative of j(l). Differentiate c(v) with respect to v.
-9*v**2
Suppose -5*b = j + 4*j - 10, 3*j = 5*b + 6. Suppose -5*t + 115 - 5 = b. Find the first derivative of t + 6*h**3 - 2*h**3 - 18 wrt h.
12*h**2
Let u(z) be the first derivative of 8*z**5/5 + 2*z - 4. Find the first derivative of u(g) wrt g.
32*g**3
Let r(a) = -14*a**2 - 31*a + 11. Suppose 3*j + 22 = -11. Let c(v) = -3*v**2 - 6*v + 2. Let s(d) = j*c(d) + 2*r(d). Find the second derivative of s(y) wrt y.
10
What is the first derivative of -19 + 19 + c + 58 + 28*c**2 wrt c?
56*c + 1
Let r(c) = 20*c**3 - 40*c**2 - 12*c - 12. Let s(u) = -8*u**3 + 16*u**2 + 5*u + 5. Let t(i) = 5*r(i) + 12*s(i). What is the third derivative of t(g) wrt g?
24
What is the derivative of 9*y - 3*y - 2*y + 31 + 3*y wrt y?
7
Find the second derivative of -3*j**5 + 3*j**5 - 2*j**5 - j**5 + 3*j wrt j.
-60*j**3
Let s(m) = -m**2 + 3*m + 4. Let v(z) = -2*z + 5. Let x be v(4). Let k(d) = -2*d + 7*d - d**2 + 5 - d. Let j(t) = x*k(t) + 4*s(t). Differentiate j(i) wrt i.
-2*i
Let d(c) = -c**3 - c**2 + c. Let t(j) = -20*j**3 - 4*j**2 - 6*j. Let b(f) = -4*d(f) + t(f). Find the second derivative of b(n) wrt n.
-96*n
Let m(o) = o - 9. Let y(q) = -8*q - 5 + 3*q + 5*q + q. Let p(d) = 4*m(d) - 7*y(d). Find the first derivative of p(h) wrt h.
-3
Find the third derivative of -4*r**2 - 10*r**2 + 14*r**5 - 4*r**5 - 3*r**2 wrt r.
600*r**2
Suppose -4*u = 2*d - 8, 4*d + 0*d = 3*u + 5. What is the second derivative of 2*l + d*l - 3*l - 2*l**5 + 0*l wrt l?
-40*l**3
Let o(c) = 16*c + 29. Let m(n) = -16*n - 29. Let g(x) = 5*m(x) + 6*o(x). Differentiate g(b) wrt b.
16
Let u be ((-1)/2)/(3/(-24)). Let x(b) = -b**2 + 6*b - 6. Let a be x(u). What is the first derivative of 5*g**a - 4*g**2 - 2 - 2*g**2 wrt g?
-2*g
Let r(m) = m + 30. Let p(c) = -10. Let j(t) = -7*p(t) - 2*r(t). Let i(a) = -6*a + 29. Let x(h) = -4*i(h) + 11*j(h). What is the first derivative of x(b) wrt b?
2
Let c(l) be the second derivative of 8*l**6/15 + 3*l**4/2 + 10*l. Find the third derivative of c(w) wrt w.
384*w
Let z(k) be the third derivative of -k**11/18480 + k**7/840 - k**4/8 + k**2. Let p(y) be the second derivative of z(y). Find the third derivative of p(o) wrt o.
-360*o**3
Find the second derivative of -2*m**3 - m**2 + 19*m + m**2 - 3*m**3 wrt m.
-30*m
Suppose 3*c + 12 = 2*n - 7, 4*n - 62 = -2*c. Find the second derivative of -3*u**5 - n + u + 14 wrt u.
-60*u**3
Let h(y) be the third derivative of 0 - 4*y**2 + 1/8*y**4 + 2/3*y**3 + 0*y. Differentiate h(w) with respect to w.
3
What is the third derivative of 14*c**2 + 11*c**2 + 14*c**2 + 14*c**6 + 2*c - 33*c**2 wrt c?
1680*c**3
Suppose 2*d - 4*d = -4. Find the third derivative of d*i + 6*i**4 + 0*i**2 - 2*i - i**2 wrt i.
144*i
Let i(y) = -21*y + 10. Let t(p) = -11*p + 5. Let v(m) = 6*i(m) - 11*t(m). Find the first derivative of v(f) wrt f.
-5
Suppose -2*i - 4 = 0, 0 = 5*t - 2*t + 2*i + 22. Let l = 9 + t. What is the third derivative of -4*d**2 + d**l - 2*d**3 + d**2 + 2*d**3 wrt d?
6
Let g(c) be the second derivative of 1/20*c**5 - 2*c**2 + 3*c + 0*c**4 + 0 + 0*c**3. Find the first derivative of g(j) wrt j.
3*j**2
Let i = 4 + -3. Find the second derivative of -i - 2 + 3 + 3*b + b**3 wrt b.
6*b
Find the second derivative of 18*a**2 - 2*a**3 + 11*a - 5*a**2 + 20*a wrt a.
-12*a + 26
Let s(l) = l**2 - 2*l - 3. Let h be s(4). Find the second derivative of 45 + 3*m**h - 45 - 8*m + 3*m wrt m.
60*m**3
What is the derivative of 0 - 5*w**3 + 4*w**3 + 5 wrt w?
-3*w**2
Differentiate -21*v**2 + 11*v**2 - 8 + 6*v**2 wrt v.
-8*v
Suppose 0 = -a - 1 - 0. Let b(u) = -12*u. Let d be b(a). Differentiate 1 - d*o**3 + 12*o**3 - o**4 wrt o.
-4*o**3
Let r be 120/25 - (-4)/(-5). What is the derivative of 7 + 9*i**4 + 6*i**r - 7*i**4 wrt i?
32*i**3
Let j(l) = -l**2 - l + 1. Let u(q) = 2*q + 12. Let v(p) = -6*j(p) - 3*u(p). Find the first derivative of v(a) wrt a.
12*a
Let w be 2/(-7) - 74/(-14). Let h(o) = -o**2 + 7*o - 7. Let y be h(w). What is the third derivative of y*f**2 - 4*f**6 - 2*f**6 + 4*f**6 wrt f?
-240*f**3
Let k(t) = t**2 + 3*t + 3. Let i be k(3). Let p be i/6 + 2/(-4). Differentiate -p*r**4 + 2 + 5*r**4 - 3 with respect to r.
8*r**3
Let i = 22 - 20. Find the second derivative of 2*h - 36*h**5 + 45*h**5 - h + i*h wrt h.
180*h**3
Let c = 35 - 32. Let t(k) be the third derivative of 0 + 1/120*k**6 + 0*k**5 - k**2 + 0*k + 1/12*k**4 + 0*k**c. Find the second derivative of t(u) wrt u.
6*u
Let y(u) = u**4 - u - 1. Let n be (-1 - 1)*(-6)/(-4). Let b(o) = 4*o**4 - 6*o - 5. Let x(z) = n*b(z) + 15*y(z). Find the second derivative of x(v) wrt v.
36*v**2
Let u(l) = -l**2 + l. Let r(n) = 6*n**3 - 6*n**2 + 6*n + 2. Let t(w) = -r(w) + 6*u(w). What is the first derivative of t(j) wrt j?
-18*j**2
What is the third derivative of g**4 - 16*g**2 + 2*g**4 + 6*g**2 + 8*g**2 wrt g?
72*g
Suppose -i + j + 3 = 0, 4*i - j + 5 = 17. Differentiate -2*a**3 + 5*a**3 + 1 + 0*a**i + 2 with respect to a.
9*a**2
Suppose 3*v - 6 = 4*z - 3*z, -3*v - z = 0. Suppose v = -2*d + 7. What is the second derivative of -3*y + 3 + y**4 - d + 2*y**4 wrt y?
36*y**2
Let t(q) be the third derivative of 7*q**5/60 + 7*q**3/6 + 20*q**2. Find the first derivative of t(a) wrt a.
14*a
Let u(p) = 16*p**5 + 3*p**4 + 3*p**3 + p - 3. Let b(k) = 15*k**5 + 2*k**4 + 2*k**3 - 2. Let y(o) = 3*b(o) - 2*u(o). Find the second derivative of y(g) wrt g.
260*g**3
Let t(b) be the first derivative of -13*b**4/4 - 17*b - 14. Differentiate t(r