 - 3*y. Differentiate f(j) with respect to j.
-3
Let l(v) = 2. Let o(x) = x**2 + 2. Let i be 1*-7 + (0 - -1). Let d(q) = i*o(q) + 5*l(q). Differentiate d(f) with respect to f.
-12*f
Let q = 2 + 2. Suppose -b + q = -t - t, 2*t + 10 = 4*b. Find the second derivative of -4*y**b + 5*y - 6*y**2 + 4*y**3 + 10*y**2 wrt y.
24*y
What is the first derivative of -m**2 + 30 - 9*m**4 - 2*m**3 - 19*m**4 + m**2 wrt m?
-112*m**3 - 6*m**2
Let w(k) = -4*k**3 - 3*k**2 - 5. Let n(g) = 6*g**3 + 5*g**2 + 7. Let h(z) = 5*n(z) + 7*w(z). What is the third derivative of h(q) wrt q?
12
Let v(z) be the second derivative of -z**9/2160 + z**7/504 + z**4/6 - 6*z. Let k(a) be the third derivative of v(a). Find the third derivative of k(s) wrt s.
-168*s
Let b(q) = -q**3 - 3*q**2. Let d(w) = -2*w**3 + w - 10*w**2 - 2*w + w. Let t(x) = -7*b(x) + 2*d(x). Find the third derivative of t(k) wrt k.
18
Let k(p) be the third derivative of p**7/5040 + p**6/240 + p**5/60 - p**2. Let x(t) be the third derivative of k(t). What is the first derivative of x(v) wrt v?
1
Let b(f) = -27*f**3 - 24*f**2 - 4*f + 4. Let g(o) = -81*o**3 - 73*o**2 - 11*o + 11. Let r(j) = -11*b(j) + 4*g(j). Find the third derivative of r(s) wrt s.
-162
Find the second derivative of -6*r**5 + 0*r**5 + 17*r + 8*r**5 wrt r.
40*r**3
Let m(b) be the third derivative of -4*b**2 + 1/8*b**4 + 0*b**5 + 0*b**6 + 0*b**3 - 1/112*b**8 + 0 + 0*b**7 + 0*b. Find the second derivative of m(s) wrt s.
-60*s**3
Let t = -11 - -18. Let l = 9 - t. What is the third derivative of 4*d**2 - 3*d**l - 3*d**4 - 3*d**2 + 0*d**2 wrt d?
-72*d
Find the third derivative of 9*g**2 - 2*g**2 - 37*g**3 - 6*g**3 + 7*g**3 wrt g.
-216
What is the first derivative of 4*k**3 + 3 - 28*k**2 + 28*k**2 wrt k?
12*k**2
Let h(g) be the second derivative of -1/12*g**4 + 0*g**2 + 0*g**3 - 1/21*g**7 + 0 + 3*g + 0*g**6 + 0*g**5. Find the third derivative of h(p) wrt p.
-120*p**2
Find the second derivative of -23*n**3 + 3*n + 5*n**3 + 5*n**3 + 12*n wrt n.
-78*n
Let n(l) be the second derivative of 3*l**6/5 - 3*l**3 + 7*l. What is the second derivative of n(x) wrt x?
216*x**2
Let t(o) be the third derivative of 11*o**7/105 + 11*o**3/6 + 12*o**2. Differentiate t(c) with respect to c.
88*c**3
Let k = 21 - 17. Find the third derivative of s**5 - 15*s**2 + 5*s**2 - k*s**5 wrt s.
-180*s**2
Find the third derivative of 17*u**2 - 4*u**6 + 9*u**2 - 12*u**6 wrt u.
-1920*u**3
Differentiate -1 + 8 + 10*g - 19*g with respect to g.
-9
Let b(j) = 19*j**3 + 32*j + 5. Let k(h) = -48*h**3 - 80*h - 12. Let g(m) = 12*b(m) + 5*k(m). Find the second derivative of g(o) wrt o.
-72*o
What is the third derivative of 4*m**2 - m**2 - m**2 - 2*m**3 wrt m?
-12
Let l(p) = -49*p + 28. Let i(c) = -783*c + 450. Let j(d) = -2*i(d) + 33*l(d). Differentiate j(w) with respect to w.
-51
Let f = 2 + -2. Suppose f = -b + 3*b - 8. What is the second derivative of -2*o**3 - b*o**3 + 7*o**3 - o wrt o?
6*o
Differentiate -9*a**3 - 18 - 23 + 19 - a**3 wrt a.
-30*a**2
What is the second derivative of -9*w - 32*w**2 - 13*w + 3*w**2 - 4*w wrt w?
-58
Let s(x) = 4*x + 8. Let z(i) = -17*i - 32. Let r(n) = 26*s(n) + 6*z(n). Differentiate r(q) wrt q.
2
What is the first derivative of -13 + 10*u**3 - 3 + 9 - 8 wrt u?
30*u**2
Let a(w) = 7*w**3 - w**2 + 5*w. Let o(p) = 14 + 4*p - 14 + 7*p**3. Let h(y) = -4*a(y) + 5*o(y). What is the third derivative of h(z) wrt z?
42
Let h(i) = 2*i**2 - i - 1. Let c be h(1). Let j(g) be the first derivative of c*g**3 - 1/2*g**4 + 0*g**2 - 1 - 2*g. Differentiate j(o) with respect to o.
-6*o**2
Let a(n) be the second derivative of -5*n**7/42 + 3*n**4/4 - 3*n. What is the third derivative of a(o) wrt o?
-300*o**2
Let k(z) = -9*z**3 - 15*z**2. Let n(t) = t**3 - 3*t**3 + t**3 - t**2 + 0*t**2. Let c(b) = -k(b) + 12*n(b). Find the third derivative of c(s) wrt s.
-18
Let h(s) = s**2 - 4*s + 4. Let k be h(4). Find the first derivative of -3*z**3 - 6*z + 4 + 6*z + k*z**3 wrt z.
3*z**2
Let c(b) = b**3 - 4*b**2 + b. Let j be c(4). What is the second derivative of t + 2*t**5 + 5*t**5 - j*t**5 wrt t?
60*t**3
Suppose 0 = p - 2*p + 3. Suppose -2*q = p*q - 10. What is the first derivative of -1 - 3 + 3*u**2 + u**q + 0 wrt u?
8*u
Let k(j) = -j + 1. Let v be k(1). Suppose -2*r = 3*n - 4 - v, -7 = -3*n + r. Differentiate 0*a**2 + 2*a**3 - 1 + 0*a**n with respect to a.
6*a**2
Let g = -4 - -2. Let o(x) = 5*x**3 + 2. Let c(a) = -15*a**3 + a**2 - 7. Let y(s) = g*c(s) - 7*o(s). What is the third derivative of y(n) wrt n?
-30
Let p(s) be the first derivative of s**4/8 - s**3/6 + s**2 - 1. Let k(w) be the second derivative of p(w). Find the first derivative of k(b) wrt b.
3
Let d(z) be the second derivative of -1/6*z**3 + 4*z**2 + 0 - 6*z. What is the first derivative of d(q) wrt q?
-1
Suppose j - 15 = -2*j. What is the second derivative of -35*i**5 + 33*i**5 + j*i + i**2 - i**2 wrt i?
-40*i**3
What is the third derivative of 3*v**6 + 25*v**6 - 28*v**2 + 6*v**6 - 65*v**6 wrt v?
-3720*v**3
Let t(q) = q**3 + 2*q**2 - q + 1. Let y be t(-2). Let g be (-69)/(-21) + (-8)/28. Find the second derivative of z**y - 2*z + g - 3 wrt z.
6*z
Let m be 1*(0 + 0) - -1. Suppose 0 = -2*f + 5 + m. What is the third derivative of -p**2 - 7*p + 7*p + f*p**6 wrt p?
360*p**3
Let o(n) be the third derivative of -2*n**7/105 - 7*n**4/24 - 7*n**2. What is the second derivative of o(r) wrt r?
-48*r**2
Let l be 28/88 - 6/(-33). Let p(a) be the second derivative of -2*a + 0 - l*a**2 - 1/3*a**3. Differentiate p(u) with respect to u.
-2
Let c = 62 + -60. Let y(j) be the third derivative of -1/120*j**6 + 0 + 0*j**3 + 1/20*j**5 + 0*j**4 + 0*j - 3*j**c. What is the third derivative of y(b) wrt b?
-6
What is the first derivative of 11 - z**2 - 5*z**3 + z**2 + 6*z**3 wrt z?
3*z**2
What is the second derivative of 19*v**3 - 5*v**3 - 139*v + 129*v wrt v?
84*v
Find the first derivative of 4*i**2 + 3*i**2 - 12 + 5 - 2*i**2 wrt i.
10*i
Let y(c) be the second derivative of 3*c**3/2 + c**2 + 6*c. Differentiate y(g) with respect to g.
9
Let i(q) be the first derivative of 22*q**2 + 29*q + 29. Differentiate i(b) wrt b.
44
Let h(u) be the second derivative of 0 + 0*u**2 - 1/6*u**4 - u + 0*u**3 + 0*u**6 + 0*u**7 + 0*u**5 - 3/56*u**8. What is the third derivative of h(b) wrt b?
-360*b**3
Let b(v) = 50*v + 9. Let d(h) = -50*h - 9. Let n(w) = -4*b(w) - 5*d(w). Differentiate n(i) with respect to i.
50
Let v(m) = 23*m**3 + 26*m. Let p(f) = -f**3. Let o(n) = -2*p(n) - v(n). What is the second derivative of o(w) wrt w?
-126*w
Let g(s) = s**2 + 4*s + 5. Let k be g(-2). Let h(w) be the first derivative of 0*w - 1/3*w**3 + k + 1/2*w**2. What is the second derivative of h(a) wrt a?
-2
Let t(p) = p**2 - 6*p - 1. Let y be t(7). Suppose j - y = -j, 0 = 4*g - 4*j. Find the second derivative of -g*l**3 - l + 2*l + 5*l**3 wrt l.
12*l
Let n(b) be the second derivative of 0*b**4 + 0 + 0*b**2 - 2*b + 0*b**5 - 1/6*b**3 - 1/10*b**6. What is the second derivative of n(u) wrt u?
-36*u**2
What is the second derivative of -3*r**2 - 2*r - 4*r + 2*r**2 + 3*r**2 wrt r?
4
Suppose 8 = -2*f + 4*f. Let o = f - 1. What is the second derivative of 2*m + m**3 + 3*m**3 - m**o - m wrt m?
18*m
Let h(l) be the third derivative of 37*l**7/210 - 17*l**5/30 - 9*l**2 + l. What is the third derivative of h(t) wrt t?
888*t
Let q(t) = -3*t**2 + 17*t + 23. Let f = 18 - 1. Let p(v) = v**2 - 6*v - 8. Let y(u) = f*p(u) + 6*q(u). What is the derivative of y(k) wrt k?
-2*k
Let q(s) be the second derivative of s**8/6720 - s**5/40 - s**4/4 - 3*s. Let c(v) be the third derivative of q(v). Differentiate c(z) wrt z.
3*z**2
Let h(u) be the first derivative of u**5/20 + u**3/3 - u**2 - 2. Let l(p) be the second derivative of h(p). What is the derivative of l(y) wrt y?
6*y
Let q(z) be the first derivative of 2*z**5 + 29*z**2/2 + 2. Find the second derivative of q(j) wrt j.
120*j**2
Let q(z) be the second derivative of -z**6/144 + z**5/40 - z**4/12 + 4*z. Let a(w) be the third derivative of q(w). Differentiate a(l) wrt l.
-5
Let r(x) = -x**3 + 8*x**2 - 7*x + 3. Let w be r(7). What is the derivative of 3 + w*n**4 - 2*n**4 - 1 - 3 wrt n?
4*n**3
Let s(f) be the third derivative of -2*f**6/15 + 11*f**4/24 - 3*f**2. Find the second derivative of s(a) wrt a.
-96*a
Let d(k) be the first derivative of -k**4/2 + k**2/2 - 43*k - 18. W