rt t.
60*t**2
What is the third derivative of 12*a**2 - 3*a**4 + 8*a**4 + a**4 - 4*a**4 wrt a?
48*a
Suppose 0 = -c - 3 + 5. Find the third derivative of -19 - x**3 - 4*x**c + 19 wrt x.
-6
Suppose -4*a - 6 + 22 = 0. What is the third derivative of 3*v**2 - 2*v**4 + 4*v - 4*v - v**a wrt v?
-72*v
Let r = -4 - -13. Let o = r + -4. Find the third derivative of 2*z**2 + 2*z**4 + o*z**4 - 5*z**4 wrt z.
48*z
Suppose -6*m + 2*m + 16 = 0. What is the second derivative of -10*r**2 + m*r**5 + 10*r**2 - 3*r wrt r?
80*r**3
Let i(r) be the first derivative of -18*r**2 + 15*r - 23. Find the first derivative of i(k) wrt k.
-36
Let y(c) = 2*c**4 + 6*c**3 + 3. Let a(i) = 6*i**4 + 17*i**3 + 9. Let w(x) = -6*a(x) + 17*y(x). Differentiate w(v) wrt v.
-8*v**3
Suppose -17 = -5*z - 4*l, -2*z - 2*z + 4*l + 28 = 0. Let u be z + -3 - 0/(-2). Differentiate 6*x + u - 1 - 4*x with respect to x.
2
Let t(a) be the first derivative of -1/5*a**5 - 1 + 3*a + 0*a**4 + 0*a**3 + 0*a**2. Find the first derivative of t(g) wrt g.
-4*g**3
Let z(u) be the second derivative of -u**5/2 + 17*u**2/2 + 3*u. Differentiate z(b) with respect to b.
-30*b**2
Let h(s) = -19*s**2 + 9*s. Let y(i) = i**2. Let x(z) = h(z) + 3*y(z). What is the second derivative of x(a) wrt a?
-32
Let j(c) = c**2 - 12*c + 14. Let d be j(11). Suppose 0*w - 6 = 3*w - d*n, -4*n = 3*w - 22. Differentiate -3 - 5*r - r + w*r wrt r.
-4
Find the third derivative of 6*y**4 + 18*y**2 + 25*y**2 - 45*y**2 wrt y.
144*y
Let c(v) be the first derivative of v**8/1680 + v**4/12 + v**3/3 + 3. Let r(l) be the third derivative of c(l). Find the first derivative of r(i) wrt i.
4*i**3
Let c = -35 + 37. Let p(z) be the second derivative of 1/3*z**3 + 1/6*z**4 + 0*z**c + 0 - 2*z. What is the second derivative of p(j) wrt j?
4
Let m = 4 + -4. Find the second derivative of c**3 - c**3 + 5*c**4 + c + m*c wrt c.
60*c**2
Suppose b = 2*b + 5, 0 = 4*n + 2*b + 2. Find the third derivative of c**2 - n*c**5 + 3*c**2 - 6*c**2 + 4*c**5 wrt c.
120*c**2
Let r(g) = 3*g**5 + 4*g**4 + 7*g - 4. Let b(d) = d**4 - 1. Let f(k) = -4*b(k) + r(k). What is the second derivative of f(z) wrt z?
60*z**3
Suppose 2*d - 4*l = 60, -5*d = -l + 5*l - 108. Find the first derivative of -d*n**2 - 2*n**3 + 24*n**2 + 2 wrt n.
-6*n**2
Suppose -4 = a - 3*a. What is the second derivative of p**4 + p**a - p**2 + 2*p wrt p?
12*p**2
Let x(s) = 30*s**3 + 27*s**2 + 5. Let g(v) = v**3 + v**2 + 1. Let w(l) = -5*g(l) + x(l). What is the third derivative of w(m) wrt m?
150
Let c = 1 - 1. Let y(b) = -b**2 - b + 3. Let t be y(c). Find the second derivative of 3*k - 2*k**2 + 3*k**t + 2*k**2 wrt k.
18*k
Let w = 5 + -3. What is the derivative of 2*n**w - 2 - 1 + 1 wrt n?
4*n
Find the first derivative of 10*f - 7*f**2 + 3 + 4 - 10*f wrt f.
-14*f
Let j(d) be the third derivative of d**5/12 + d**4/3 + 2*d**2. What is the second derivative of j(w) wrt w?
10
Let l(s) be the second derivative of -s**9/1512 - s**5/24 + 2*s**3/3 + 9*s. Let r(x) be the second derivative of l(x). Find the second derivative of r(a) wrt a.
-40*a**3
Let h(b) = -b**3 + b. Let i(l) = l**4 - 4*l**3 + 4*l + 4. Let x(k) = 4*h(k) - i(k). Find the first derivative of x(n) wrt n.
-4*n**3
Find the third derivative of -40*u**3 + 24*u**3 + 8*u**2 + 16*u**3 + 2*u**4 wrt u.
48*u
Let i(p) = p**2 - 3*p. Let q be i(4). Let a(d) = d - 2. Let c be a(q). What is the second derivative of -h**3 - h + 12*h**c - 12*h**2 wrt h?
-6*h
Suppose 2*k + 12 = 5*k. What is the second derivative of -k*m**2 - 2*m**2 + 7*m**2 + 3*m wrt m?
2
Let q(j) be the third derivative of -7*j**6/120 - j**4/4 - 12*j**2. What is the second derivative of q(k) wrt k?
-42*k
Differentiate -6*m + 12*m + 4 + 32*m + 6*m with respect to m.
44
Let m(r) = 5*r**2 + r - 1. Let u be m(1). Suppose 4*t - u*q = 37, -t - 4*t + 5*q + 40 = 0. Find the third derivative of 2*s**5 + 2*s**2 - 4*s**2 - t*s**5 wrt s.
-60*s**2
Let o be (-2 + 2 + 4)*(-4)/(-8). Let b(j) be the second derivative of 0*j**o + 0 + 1/6*j**3 - 3*j - 1/12*j**4. Find the second derivative of b(k) wrt k.
-2
Let o(n) be the second derivative of -n**7/140 + n**4/4 + n**3/3 + n. Let q(w) be the second derivative of o(w). Differentiate q(j) wrt j.
-18*j**2
Let v be (-7)/(-35) - (-38)/10. Find the second derivative of 11*y + v*y**4 - 3*y - 7*y**4 wrt y.
-36*y**2
Let l(c) be the second derivative of 0*c**2 + 1/10*c**6 + 0*c**3 + 0*c**5 + 0 + 5*c - 1/3*c**4. Find the third derivative of l(a) wrt a.
72*a
Suppose -4*h + 3*h + 4 = 0. What is the derivative of 2*i**h + 0 - 4 + 4 - 1 wrt i?
8*i**3
Let b = -1 - -1. What is the first derivative of -3*a**4 + b + 5*a**4 + 4 - 3 wrt a?
8*a**3
Suppose 0 = -2*h - h + 9. What is the second derivative of 4*l - 2*l**2 + 2*l**2 - l**h - 8*l wrt l?
-6*l
Let b = 7 + -4. Let d(x) = x + 7. Let v be d(-5). Find the third derivative of b*t**3 - t**3 + 0*t**2 + 2*t**v wrt t.
12
Let s(t) = -t**2 + 2 + 6*t - 9*t - 5*t. Let a be s(-8). What is the third derivative of -p**2 - 2*p**2 + p**a + 2*p**4 wrt p?
48*p
Let t(z) = 4*z + 2*z + z**2 - 2*z + 0*z. Let q be t(-5). What is the second derivative of 4 - 2 + x - 2*x**q - 2 wrt x?
-40*x**3
Let f = 1 - 0. Let h(c) be the first derivative of 1/2*c**2 - f + 0*c + 2/3*c**3. Find the second derivative of h(r) wrt r.
4
Let b(p) be the first derivative of p**3 - 5*p**2/2 + 4. Let l(f) = 15*f**2 - 26*f. Let v(s) = -11*b(s) + 2*l(s). Find the second derivative of v(q) wrt q.
-6
Let x(a) = 29*a**6 + 4*a**3 + 27*a**2. Let l(y) = 59*y**6 + 9*y**3 + 54*y**2. Let f(z) = -4*l(z) + 9*x(z). What is the third derivative of f(i) wrt i?
3000*i**3
Let b = 106 - 103. Let x(c) be the second derivative of 1/10*c**5 + 0 - 4*c + 0*c**b + 0*c**2 - 1/12*c**4. Find the third derivative of x(r) wrt r.
12
Let w be -1 - (-2 + 3 + 1). Let q be (0/(-2))/(4 + w). Find the second derivative of q*k**5 - k + 2*k - k**5 wrt k.
-20*k**3
Let k(s) = -4*s**3 - 1. Let b be k(-1). Differentiate b - 3 - 2 - 3*v wrt v.
-3
Let t(n) = -n**2 - 5*n - 4. Let o be t(-3). Suppose 0 = o*m - 2*y - 8, -7*y + 2*y - 12 = -m. What is the second derivative of -3*k - 3*k**m - 2 + 2 + 0 wrt k?
-6
Suppose 0 = 7*u - 2*u. What is the second derivative of u*a**2 + a**2 + 0*a**2 - 2*a wrt a?
2
Let c(w) be the second derivative of -w**8/420 + w**6/60 + w**3/3 - 6*w. Let r(j) be the second derivative of c(j). Find the third derivative of r(h) wrt h.
-96*h
Find the third derivative of 2*z**2 + 11*z**3 + 17*z - 21*z + 4*z - 2*z**4 wrt z.
-48*z + 66
Differentiate -3 + 0*w**3 - 3*w**3 - 5 + 6 wrt w.
-9*w**2
Suppose -2*o + 4*o - 4 = 0. Let y(a) = a**3 + a**2. Let q(u) = -u**3 - 3*u**2. Let j(i) = o*q(i) + 5*y(i). What is the third derivative of j(t) wrt t?
18
Suppose 5*w + 5 = -g - 3, 0 = -g - w. What is the third derivative of 8*p**g - 3*p**2 - p**6 - 2*p**2 wrt p?
-120*p**3
Find the second derivative of x - 78*x**3 + 36*x**3 - 27*x**5 + 42*x**3 wrt x.
-540*x**3
Let i be 2/4 - (-115)/(-10). Let k be i/(-2) - 2/4. What is the third derivative of -d**4 + k*d**2 + 2*d**4 - 3*d**2 wrt d?
24*d
Suppose 2*a + 26 = 4*a - 4*s, 2*s - 2 = -4*a. Find the third derivative of -3*t**2 + 6*t**3 - a*t**2 + 4*t - 4*t wrt t.
36
Let m(s) = -s**5 - 1. Let c(b) = -b**5 + 3*b**2 + 5. Let z(p) = c(p) + 5*m(p). What is the third derivative of z(h) wrt h?
-360*h**2
Let x(z) be the second derivative of z**6/720 + z**5/40 + z**4/12 + z. Let l(k) be the third derivative of x(k). Find the first derivative of l(i) wrt i.
1
Let j = 35 - 103/3. Let p(m) be the first derivative of j*m**3 + 1 + 0*m**2 - 2*m. Find the first derivative of p(b) wrt b.
4*b
Differentiate 13 - 6*o**3 - 2*o**3 - 1 wrt o.
-24*o**2
Let m(a) be the third derivative of 0*a**6 + 0 + 0*a**4 + 2/15*a**5 + 0*a**3 + 0*a + 2/105*a**7 + 6*a**2. What is the third derivative of m(n) wrt n?
96*n
Let r(w) be the third derivative of w**6/720 + w**5/40 - w**4/12 + 5*w**2. Let t(m) be the second derivative of r(m). What is the derivative of t(v) wrt v?
1
Let s(f) be the second derivative of 0*f**4 + 0 + 1/10*f**5 + 0*f**3 + 4*f - 2*f**2. Differentiate s(p) wrt p.
6*p**2
Let r(t) be the first derivative of -5 + 0*t + 0*t**4 - 2/5*t**5 + 0*t**2 + 2*t**3. What is the third derivative of r(c) wrt c?
-48*c
Suppose 0 = -p + 1 + 1. Suppose j - 6*j + 15 = 0. What is the second derivative of -f + f - p*f + f**j wrt f