at is the first derivative of 39*v**2 + 7 - 23*v + 23*v + 0 wrt v?
78*v
Let n(w) = -w**3 - w**2 + 3*w + 1. Suppose 4*y - 1 = 3*y. Let x(l) = -l**2 - l + 1. Let h(f) = y*x(f) - n(f). Find the second derivative of h(o) wrt o.
6*o
Let a be (1/(-2))/(1/(-10)). Suppose a = -o, 0 = -4*x - 2*o - o + 5. Find the second derivative of -v**2 - 3*v + x*v + 5*v**2 - v**2 wrt v.
6
Let r(c) = -4*c**2 + 2*c - 3. Let d(h) = -h**3 + 2*h**2 + h. Let b be d(-1). Let o(i) = 5*i**2 - 3*i + 4. Let t(l) = b*o(l) + 3*r(l). Differentiate t(u) wrt u.
-4*u
Suppose 4*v = 18 + 26. What is the third derivative of v*x**3 - 14*x**3 - 2*x**2 - 2*x**2 wrt x?
-18
Let w(p) be the third derivative of 11*p**9/504 - 3*p**5/10 + 9*p**2. What is the third derivative of w(r) wrt r?
1320*r**3
Let w(j) be the third derivative of 5*j**2 + 0*j + 0 + 0*j**3 - 1/30*j**5 + 1/12*j**4. Find the second derivative of w(o) wrt o.
-4
Let d(g) = -g**3 + 4*g**2 - 4*g + 2. Let u(j) = 0*j + 2 - 5*j + j - j**3 + j + 3*j**2. Let n(k) = -3*d(k) + 4*u(k). Find the first derivative of n(w) wrt w.
-3*w**2
Let w(u) be the third derivative of u**5/5 - u**4/4 - 2*u**2. Find the second derivative of w(b) wrt b.
24
Let i(x) = 29*x**3 + 31*x + 4. Let r(f) = f**3 + f + 1. Let j(b) = -i(b) + 4*r(b). What is the second derivative of j(l) wrt l?
-150*l
Find the first derivative of 3*z**2 - 36 - 5*z - 4*z - 7*z + 5*z wrt z.
6*z - 11
Let l(h) be the third derivative of 0*h**4 + 0*h**5 + 0 - 1/120*h**6 + 0*h - 1/6*h**3 + h**2. Find the first derivative of l(u) wrt u.
-3*u**2
Let g(i) be the second derivative of 3/20*i**5 + 3*i - 1/6*i**4 + 0*i**2 + 0 + 0*i**3. What is the third derivative of g(m) wrt m?
18
Let w(c) = 2*c**3 + 9 + 8 - 4 + 5*c**3. Let i(r) = 6 + r**3 - 2*r**3 + 4*r**3. Let q(a) = 9*i(a) - 4*w(a). Differentiate q(l) with respect to l.
-3*l**2
What is the second derivative of -6 + 8*d + 6 - 10*d**5 wrt d?
-200*d**3
What is the third derivative of -4*s + 5*s - 12*s**2 + 4*s**3 - s wrt s?
24
What is the first derivative of -13 - 20*p**2 + 24 - 3 wrt p?
-40*p
Let a be (-8)/(-6)*(10 - 1). Suppose -n = -5*n + a. What is the second derivative of -r + 3*r**2 - 4*r**2 + n*r**2 - r**2 wrt r?
2
Let p(g) be the third derivative of g**8/6720 - g**6/144 + g**5/60 + 2*g**2. Let q(t) be the third derivative of p(t). Differentiate q(i) with respect to i.
6*i
Let m(n) = 12*n**3 + 7*n**2 + 3*n. Let a(r) = -6*r**3 - 3*r**2 - 2*r. Let l(f) = 7*a(f) + 3*m(f). What is the second derivative of l(g) wrt g?
-36*g
Suppose -3*u + 8 = 2*w - 10, -5*u = -20. What is the third derivative of -2*v**2 + v**2 - w*v**5 - v**2 wrt v?
-180*v**2
Let f(n) be the first derivative of n**4 + 3/2*n**2 + 1 + 0*n**3 + 0*n. Find the second derivative of f(x) wrt x.
24*x
Let t be (18/(-81))/((-10)/3). Let p(y) be the second derivative of 1/2*y**2 + 0*y**4 - 2*y + 0*y**5 + 0*y**3 + 0 - t*y**6. Differentiate p(q) wrt q.
-8*q**3
Let p(s) be the third derivative of s**9/56 - s**7/210 - s**5/2 - s**2 - 17. What is the third derivative of p(b) wrt b?
1080*b**3 - 24*b
What is the second derivative of -424*j**2 + 3*j - 19*j**5 + 424*j**2 wrt j?
-380*j**3
Let c(l) be the second derivative of l**4/2 + 5*l**2/2 - 6*l. What is the first derivative of c(i) wrt i?
12*i
What is the first derivative of o**3 + 1 - 5*o**3 + 4*o**3 + 2*o**4 wrt o?
8*o**3
Let t = -14 - -16. Find the third derivative of -9*z**2 + 11*z**2 + t*z**6 - z**6 wrt z.
120*z**3
Suppose 0 = -5*x - 5*r + 4*r + 12, -4*x - 4*r + 16 = 0. Suppose -x*z = z - 9. Find the third derivative of -v**2 - v**3 + 0*v**3 - 2*v**2 + 3*v**z wrt v.
12
Let m(s) = -50*s**2 + 41. Let q(c) = 101*c**2 - 83. Let b(p) = 7*m(p) + 3*q(p). Find the first derivative of b(d) wrt d.
-94*d
Let f(r) = -r**3 + r**2. Let w be f(-1). Find the third derivative of 2*h - w*h + 4*h**2 - 3*h**2 - 2*h**4 wrt h.
-48*h
Differentiate -9*g + 0 - 4 - 4 + 2 with respect to g.
-9
What is the first derivative of -3 - r**2 - 3 + 1 + 4*r**2 wrt r?
6*r
Suppose c = 4*c + 2*c. Let a(h) be the first derivative of 1/5*h**5 + 0*h**2 + 3 + 0*h**3 + c*h**4 + 4*h. Differentiate a(i) with respect to i.
4*i**3
Let d(r) = 5*r**4 - 4*r**3 - 4*r**2. Let k(m) = -4*m**4 + 5*m**3 + 5*m**2 - 1. Let w(h) = 5*d(h) + 4*k(h). What is the first derivative of w(b) wrt b?
36*b**3
Let x(v) be the first derivative of 0*v**5 - 1/2*v**6 + 0*v**4 + 0*v + 3 - 2/3*v**3 + 0*v**2. Find the third derivative of x(h) wrt h.
-180*h**2
What is the third derivative of 4*t**2 - 34*t**5 + 7*t**2 + 35*t**5 wrt t?
60*t**2
Let n(s) = s**5 + s**3 - s**2 + s. Let v(x) = -19*x**5 - 6*x**3 + 6*x**2 - 11*x. Let u(z) = 6*n(z) + v(z). What is the second derivative of u(d) wrt d?
-260*d**3
Let p(i) = 2*i**4 + 5*i - 1. Let n be 6/(-21) - 10/14. Let k(w) = -w. Let s(y) = n*p(y) - 5*k(y). What is the first derivative of s(v) wrt v?
-8*v**3
Find the third derivative of 3*l - 421*l**2 + 22*l**3 + 420*l**2 - 3*l wrt l.
132
Differentiate 23*z**2 + 4 + 28*z**2 - 24*z**2 with respect to z.
54*z
Suppose c + 3 = 5. Differentiate j - c*j + 1 - 3*j with respect to j.
-4
Let c(u) be the second derivative of u**7/360 - u**6/144 + u**4/3 + 4*u. Let a(i) be the third derivative of c(i). What is the second derivative of a(r) wrt r?
14
Find the third derivative of -8*j**6 + j**2 + 6*j**6 - 3*j**6 wrt j.
-600*j**3
Let b(m) be the third derivative of -m**6/8 + 7*m**3/6 + 42*m**2. What is the derivative of b(w) wrt w?
-45*w**2
Let k(s) = 5*s**3 - 3*s**2 + 6*s + 3. Let p(f) = 4*f**3 - 2*f**2 + 5*f + 2. Let g(d) = -2*k(d) + 3*p(d). What is the second derivative of g(l) wrt l?
12*l
Find the second derivative of 2 - 2 + 13*j - 143*j**3 + 153*j**3 wrt j.
60*j
Let q(t) be the first derivative of t**8/1680 + t**5/60 + 5*t**3/3 + 6. Let k(y) be the third derivative of q(y). Find the second derivative of k(g) wrt g.
12*g**2
Let m be ((-4)/8)/((-1)/2). Let t be 0/((0 - m) + 2). Find the first derivative of 3*j + t - j - 1 wrt j.
2
Suppose 7*j - 30 = 5*j. Find the second derivative of j - 6*s - 8 + 5*s**4 - 7 wrt s.
60*s**2
Let f(i) = i**2 - 5*i - 17. Let h(s) = -2*s - 9. Let j(v) = -2*f(v) + 5*h(v). Differentiate j(k) wrt k.
-4*k
Let u be (-24)/(-10) + 4/(-10). Let n be 6/10 + (-96)/(-40). What is the second derivative of -m + 2*m - u*m**3 + m**n wrt m?
-6*m
Let d(u) = -5*u**4 + 3*u**3 - 3*u + 15. Let i(t) = -5*t**4 + 2*t**3 - 2*t + 14. Let b(y) = -2*d(y) + 3*i(y). What is the derivative of b(l) wrt l?
-20*l**3
What is the third derivative of 9*o**2 - 12*o**2 - 19*o**2 - 14*o**6 + o**2 wrt o?
-1680*o**3
Let r(z) = -z**3 + 5*z**2 - 5*z + 6. Let p be r(4). Suppose -4*t - p = t + g, g + 2 = 5*t. What is the second derivative of -3*a**4 + a**4 + t*a + 2*a wrt a?
-24*a**2
Let f(n) be the first derivative of 39*n**7/7 + 17*n**3/3 + 8. What is the third derivative of f(r) wrt r?
4680*r**3
Let n(a) = -67*a**2 - 31*a. Let d(z) = 22*z**2 + 10*z. Let m(v) = 7*d(v) + 2*n(v). Find the second derivative of m(t) wrt t.
40
Let t(h) be the first derivative of -5*h**4/4 + 14*h**3/3 - 37. What is the third derivative of t(o) wrt o?
-30
Let l(z) = -7*z**2 - 16*z + 3. Let p(h) = -8*h**2 - 17*h + 4. Let j(f) = 4*l(f) - 3*p(f). What is the second derivative of j(u) wrt u?
-8
Let u = -3 - -6. Let b(c) be the third derivative of 0*c**5 - 1/60*c**6 + 0*c**4 + 0*c + 0 - c**2 + 1/3*c**u. What is the first derivative of b(x) wrt x?
-6*x**2
Let x(a) be the third derivative of -7*a**6/24 - 2*a**5/15 + 3*a**2. What is the third derivative of x(r) wrt r?
-210
Let g be (3 + -2)*(6 - -1). Let h = g + -2. Find the second derivative of 2*l + 2 - 5 + 3 - 3*l**h wrt l.
-60*l**3
Let k(o) = -41*o**4 + 3*o**3 - 3*o**2 + 4*o + 3. Let b(m) = m**4 - m**3 + m**2 + m - 1. Let f(r) = 3*b(r) + k(r). Find the second derivative of f(x) wrt x.
-456*x**2
Suppose 2*t - 5*z - 25 = 0, -3*z = -2*t + z + 20. Suppose -4*x + 8 + 0 = t. What is the first derivative of -x*k + 5*k - 2*k - 3 wrt k?
1
Let g(x) = -x + 1. Let a be g(-3). Find the first derivative of 1 - 214*b**3 + 214*b**3 + 2*b**a wrt b.
8*b**3
Let r(o) be the second derivative of 17*o**3/6 - o**2/2 - 14*o. Find the first derivative of r(c) wrt c.
17
Let n(c) = -4*c**2 + 20*c + 11. Suppose 6*d + 6 = 3*d. Let f(a) = -a**2 + 4*a + 2. Let q(w) = d*n(w) + 11*f(w). Find the second derivative of q(u) wrt u.
-6
Let g(j) = -j**3 - 5*j**2 