*2 + 6*m**5 wrt m?
360*m**2
Differentiate 2 + 14 + 0*b**2 - 2*b**2 wrt b.
-4*b
Let v(d) be the second derivative of -1/2*d**3 + 0 - 4*d + d**2. Find the first derivative of v(s) wrt s.
-3
Let y(q) be the third derivative of -q**6/120 + q**4/3 - q**2. What is the second derivative of y(o) wrt o?
-6*o
Let x(q) = -23*q**3 - 28*q**2. Let s(z) = -12*z**3 - 14*z**2. Let r(a) = 5*s(a) - 3*x(a). Find the third derivative of r(m) wrt m.
54
Let z(c) be the first derivative of -c**2 - 4*c + 2. Differentiate z(g) wrt g.
-2
Let o(u) be the second derivative of -7*u**5/10 + 2*u**4/3 + 25*u. Find the third derivative of o(g) wrt g.
-84
Suppose -3*a + 3 = 2*j - 10, 5*j + 2 = 4*a. Suppose -10 + 1 = 3*w, 2 = 4*q + j*w. What is the third derivative of 0*p**4 + 2*p**2 + 0*p**4 + q*p**4 wrt p?
48*p
Let d = 8 + 37. Suppose -d = -4*h - 4*v - v, -v = -4*h + 15. Find the second derivative of a + 3*a**h - a**5 + a wrt a.
40*a**3
Suppose -5*u - 3*d + 57 = 0, 3*d + 26 = 2*u + 5*d. Let j(g) = g**3 - 9*g**2 + g - 5. Let s be j(u). Differentiate 2*l + 0*l + 1 - s*l with respect to l.
-2
Let l(n) be the third derivative of n**9/20160 + n**8/6720 + n**5/20 + n**2. Let s(i) be the third derivative of l(i). Find the third derivative of s(j) wrt j.
18
Let o(n) be the first derivative of -18*n**5/5 + 2*n**3/3 - 9. Find the third derivative of o(t) wrt t.
-432*t
What is the second derivative of -26*i - 5*i**3 - 9*i**3 + 30*i wrt i?
-84*i
Let q(v) = -3*v**3 - 2*v**2 + 1. Let g be q(-1). Find the first derivative of -2 + 2*j + j**2 - g*j + j**2 wrt j.
4*j
Find the second derivative of 6*j + 7*j**2 + 8*j - 4*j + 5*j wrt j.
14
Suppose 0 = b - 5. Differentiate 8*j + 16 + b - 28 wrt j.
8
Let p(a) = 11*a**5 + 2*a**4 - 21*a**2 - 2. Let f(t) = -11*t**5 - 3*t**4 + 20*t**2 + 3. Let y(m) = 2*f(m) + 3*p(m). Find the third derivative of y(s) wrt s.
660*s**2
Let b be -5 + 7 + (-1 - -1). Find the third derivative of -19*k**2 + 22*k**b + 3*k**4 + k**5 - 3*k**4 wrt k.
60*k**2
Differentiate -9*k**4 + 0 + 2 - 4 with respect to k.
-36*k**3
Let f(n) be the second derivative of -n**6/30 + 15*n**2/2 - 2*n. Differentiate f(k) wrt k.
-4*k**3
Let g(k) = k**2. Let t be g(2). What is the second derivative of d + 3*d + 3*d - 3*d**5 - t*d wrt d?
-60*d**3
Let m(r) be the third derivative of 26*r**7/105 - 17*r**3/3 + 20*r**2 - 2. What is the first derivative of m(k) wrt k?
208*k**3
Suppose 0 = -0*v - 2*v. Let c = -10 + 13. Find the first derivative of 0*y - 2*y**2 + v*y - c wrt y.
-4*y
Let u(g) = -g**3 - 4*g**2 - g - 46. Let x(n) = n**3 - n**2 + 1. Let l(r) = u(r) - 4*x(r). Find the first derivative of l(p) wrt p.
-15*p**2 - 1
Let s(b) be the third derivative of b**5/20 - 3*b**3/2 + 8*b**2. What is the first derivative of s(k) wrt k?
6*k
Suppose 3*i - 21 + 9 = 0. Find the third derivative of i*j**2 - 3*j**2 + 5*j**6 - 3*j**2 wrt j.
600*j**3
What is the first derivative of 11*a**3 - 12*a**2 + 11*a**2 + a**2 - 17 wrt a?
33*a**2
Find the second derivative of -46*w**2 + 19*w**2 + 10*w**2 + 30*w wrt w.
-34
Find the first derivative of 2*p**4 - 4*p**4 + 1788*p**2 - 20 - 9 - 1790*p**2 wrt p.
-8*p**3 - 4*p
Let v(n) be the first derivative of 0*n + 1 + 4/3*n**3 - 5/4*n**4 + 0*n**2. What is the third derivative of v(x) wrt x?
-30
Let f be ((-16)/12 - -3)*3. Differentiate -5*c**2 - c**3 - 3 + 2*c**3 + f*c**2 with respect to c.
3*c**2
Let b = 4 + -2. What is the second derivative of -2*w + b*w**2 + 2*w + w wrt w?
4
Let t = 7 + -3. Let b(s) be the first derivative of 0*s**2 - s + 0*s**3 - 1/4*s**t - 2. Find the first derivative of b(u) wrt u.
-3*u**2
Suppose k = -0*k - 3*s, -5*k + 85 = -2*s. Suppose k = 3*g + 5*x, -7*x = -2*x. What is the second derivative of 4*y**g + 2*y - y**5 - 4*y**5 wrt y?
-20*y**3
Let l be (-2)/(-6) + 1 - 1. Let v(b) be the first derivative of -1/4*b**4 - l*b**3 + 0*b + 0*b**2 + 2. What is the third derivative of v(t) wrt t?
-6
Suppose 2*g = 4 - 2. What is the derivative of 5*u - g + 89*u**4 - 5*u - 86*u**4 wrt u?
12*u**3
What is the second derivative of -2*c**4 + 0*c**4 - 26*c + 25*c wrt c?
-24*c**2
Let j be (1/1)/(-2)*-14. What is the second derivative of -2*u + 7*u**2 - j*u**2 + 2*u**5 wrt u?
40*u**3
Find the third derivative of -38*a**2 + 72*a**5 - a**3 + 62*a**5 - 143*a**5 wrt a.
-540*a**2 - 6
Differentiate -3*w + 14*w + 4*w - 12 with respect to w.
15
Suppose -v + 4 - 1 = 0. Let p = v + -4. Let n(c) = -c - 1. Let k(o) = 4*o. Let j(f) = p*k(f) - 2*n(f). Find the first derivative of j(t) wrt t.
-2
Let n = 3 + 0. Suppose 13 + n = 4*b. Find the second derivative of -2*o + o**3 - 3*o + b*o wrt o.
6*o
Let r(h) be the third derivative of -h**8/420 + h**6/360 + 2*h**3/3 + 2*h**2. Let f(d) be the first derivative of r(d). Find the third derivative of f(y) wrt y.
-96*y
What is the second derivative of 2*h + 4*h**4 - 7*h + h wrt h?
48*h**2
Let y(a) be the third derivative of -a**7/210 + a**5/6 - 5*a**2. Find the third derivative of y(o) wrt o.
-24*o
Find the first derivative of 5*v - 13*v**4 - 2 - 5*v + 5*v**4 wrt v.
-32*v**3
Let g = -9 + 15. Let v = g - 2. Differentiate -1 + k**2 + 3 - v with respect to k.
2*k
Find the second derivative of -61 + 52*a**5 + 19*a + 4*a**2 + 59 - 4*a**2 wrt a.
1040*a**3
Let y(p) = -p**2 + 4*p + 2. Let j be y(5). Let b(u) = u + 1. Let r(n) = n + 4. Let z(c) = j*b(c) + r(c). Differentiate z(q) wrt q.
-2
Let u(s) = s**2 + s + 4. Let n be u(0). Suppose n*y + 3*v = 7*v - 4, 4*y = 5*v - 8. Find the third derivative of 5*a**2 - y*a**5 + 2*a**5 - 4*a**2 wrt a.
-60*a**2
Differentiate -71*g - 3*g**2 + 40*g + 33*g + 18 with respect to g.
-6*g + 2
Let s(g) be the first derivative of 7*g**4/2 - 14*g**3/3 - 21. What is the third derivative of s(c) wrt c?
84
Let x(p) = 1. Let b(q) = -3*q**2 - 7. Let v(y) = b(y) + 3*x(y). Let g(z) = z**2 + 1. Let h(u) = 18*g(u) + 4*v(u). What is the derivative of h(c) wrt c?
12*c
Let y be (0 + -30)*1/(-3). Find the third derivative of -y*k + 8*k - k**6 + 3*k**2 + 2*k wrt k.
-120*k**3
Let n(x) = -x**2 + 5*x + 4. Let g be n(5). Let r = -2 + g. Find the first derivative of 5 - 3 + 3*d**r - d**2 wrt d.
4*d
Let u(j) be the first derivative of 4*j**5 - 16*j + 5. Find the first derivative of u(f) wrt f.
80*f**3
Let y(j) be the second derivative of -j**4/2 + 5*j**2 + 11*j. Differentiate y(m) with respect to m.
-12*m
Let j = 9 + -6. Let l = 6 - j. What is the third derivative of -l*x**6 - 4*x**2 + 2*x**2 + 2*x**6 wrt x?
-120*x**3
Let d(t) = 1. Let a(m) be the third derivative of m**4/24 - 7*m**2. Let w(y) = -a(y) + 4*d(y). Find the first derivative of w(f) wrt f.
-1
What is the first derivative of -3 - 2 + 17*j - 16 - 9 wrt j?
17
Let d be 4 + 0 - -2*1. What is the third derivative of -5*r**5 + 2*r**2 - d*r**2 + 7*r**5 wrt r?
120*r**2
Let h(d) be the second derivative of -d**8/6720 - 7*d**5/120 + d**4/6 - 7*d. Let m(t) be the third derivative of h(t). Differentiate m(l) with respect to l.
-3*l**2
Let k(c) be the first derivative of -15*c**4/4 + 10*c - 8. Differentiate k(o) wrt o.
-45*o**2
What is the first derivative of 3*p**2 - 4*p**2 + 13 + 19*p**2 - 42 wrt p?
36*p
Let d(x) be the third derivative of x**5/15 - 23*x**4/24 + x**2. Find the second derivative of d(g) wrt g.
8
Let o be 2/3*18/(-3). Let x be (o/6)/2*-9. Find the third derivative of j**2 - x*j**2 + j**5 - 2*j**5 wrt j.
-60*j**2
Let i(k) = 18*k**5 - k**2 + 2*k + 8. Let d(b) = -b**5 - b**3 + b**2 + 1. Let c(j) = d(j) + i(j). Find the second derivative of c(u) wrt u.
340*u**3 - 6*u
Let x(f) be the second derivative of 0*f**2 + 1/12*f**4 + 3*f + 3/56*f**8 + 0*f**6 + 0*f**5 + 0*f**3 + 0*f**7 + 0. Find the third derivative of x(t) wrt t.
360*t**3
What is the first derivative of -n**2 + 5*n**2 - 300 + 290 wrt n?
8*n
Let y(c) be the second derivative of 0*c**6 + 0*c**3 + 0*c**5 + 4*c - 1/28*c**8 + 0*c**2 - 1/12*c**4 + 0*c**7 + 0. What is the third derivative of y(h) wrt h?
-240*h**3
What is the derivative of 5*w - 19*w - 7*w + 14 wrt w?
-21
Let z(t) = -17*t**2 + 5*t - 9. Let h(j) = -8*j**2 + 2*j - 4. Let q = 11 - 15. Let d(x) = q*z(x) + 9*h(x). What is the second derivative of d(a) wrt a?
-8
Let k be (-6)/8 - 23/(-4). Let t = -4 - -6. Find the second derivative of -2*i - 10*i**t - 2*i**k + 10*i**2 wrt i.
-40*i**3
Let f(c) = -c. Let m be f(8). Let h be m - -6 - (-1 - 1). Find the second derivative of -5*d + d + h