*2 - 19*w + 3. Let v(b) = 3*m(b) - n(b). Find the second derivative of v(s) wrt s.
-120*s
Let p(k) be the third derivative of -7*k**6/120 - 4*k**3/3 + 7*k**2. What is the first derivative of p(l) wrt l?
-21*l**2
Let c(l) be the third derivative of -l**7/70 - l**6/60 - 5*l**5/6 - 45*l**2 + 2. What is the third derivative of c(z) wrt z?
-72*z - 12
Let o(y) be the third derivative of -7*y**4/4 - 29*y**3/3 - 4*y**2. What is the first derivative of o(w) wrt w?
-42
Let a be 4/(-18) + 770/63. Suppose 5*h = a - 2. What is the third derivative of 0 - 3*x**6 + 2*x**h + 0 + 0*x**6 wrt x?
-360*x**3
Differentiate 49 + 17*h**2 + 17*h**2 - 4 with respect to h.
68*h
Find the second derivative of 6*w - 4*w**3 + 3*w**3 + 4*w**3 wrt w.
18*w
Let y(p) be the second derivative of -p**6/5 - 19*p**2/2 + 4*p. Find the first derivative of y(i) wrt i.
-24*i**3
Let b(m) be the first derivative of 0*m - 2/7*m**7 + 0*m**6 + 0*m**4 + 0*m**2 - 3 - 1/3*m**3 + 0*m**5. What is the third derivative of b(o) wrt o?
-240*o**3
Let a(i) be the third derivative of 1/30*i**6 + 0 + 0*i**4 - 3*i**2 + 0*i**5 + 0*i + 1/6*i**3. What is the derivative of a(t) wrt t?
12*t**2
Let m(s) be the third derivative of 0*s**3 - 1/20*s**5 + 0*s**4 + 0*s**7 + 0*s**6 - 1/48*s**8 + 0 + 0*s + 2*s**2. What is the third derivative of m(p) wrt p?
-420*p**2
Suppose -2*i - i = -6, -3*i - 18 = 4*o. Let m = 9 + o. What is the third derivative of r**2 + 5*r**m - r**2 + 3*r**2 - 3*r**3 wrt r?
12
Let q(y) be the third derivative of 0 + 0*y - y**2 + 0*y**3 - 1/24*y**4 - 1/15*y**5. What is the second derivative of q(b) wrt b?
-8
Let c(y) be the second derivative of y**5/20 + y**4/8 - y**3/2 - 8*y. Let j(b) be the second derivative of c(b). Differentiate j(l) with respect to l.
6
Let n(m) = m**4 - m. Let w(h) = -13*h**4 + 4*h. Let x(f) = -6*n(f) - w(f). What is the second derivative of x(y) wrt y?
84*y**2
Let u(b) be the second derivative of -3*b**5/20 + 2*b**3/3 + b. Find the second derivative of u(q) wrt q.
-18*q
Let h be 0*-1*(-2)/2. Suppose 6*f - 4*f = h. Find the third derivative of 2*d**2 + f*d**2 + 0*d**6 - d**6 wrt d.
-120*d**3
Let q(l) be the second derivative of -l**9/1512 + l**6/72 + l**3/6 - l. Let h(p) be the second derivative of q(p). What is the third derivative of h(d) wrt d?
-120*d**2
Let j be 4 - (-1 + (-4)/(-2)). Let x = 6 - j. What is the third derivative of -2*y**2 + 0*y**5 + x*y**2 - 2*y**5 wrt y?
-120*y**2
Let q(j) be the second derivative of 2*j**6/5 - 11*j**2/2 + 8*j. Find the first derivative of q(c) wrt c.
48*c**3
What is the third derivative of -7*h**2 - 12*h**4 - 4*h**4 - 34*h**2 wrt h?
-384*h
Let i(m) be the second derivative of m**6/40 + 5*m**3/6 + m**2/2 + m. Let s(k) be the first derivative of i(k). What is the first derivative of s(l) wrt l?
9*l**2
Let h(l) be the second derivative of 0 - 1/2*l**3 + 0*l**4 + 0*l**2 - 2*l + 3/20*l**5. What is the second derivative of h(x) wrt x?
18*x
What is the second derivative of 95*y**2 - 1 + 1 - 70*y**2 + 5*y wrt y?
50
What is the second derivative of i**2 + 7*i**2 - 8*i**2 - 16*i**3 + 15*i wrt i?
-96*i
Let n(h) = -2*h**2 + 1 - h**3 + 2*h + 3 - 1. Let i = -39 + 28. Let u(k) = -6*k**3 - 11*k**2 + 11*k + 16. Let s(v) = i*n(v) + 2*u(v). Differentiate s(q) wrt q.
-3*q**2
Differentiate -y - 5*y - 19 - y + 3*y wrt y.
-4
Let g = 3/64 + -29/960. Let r(z) be the third derivative of -g*z**6 + 0*z**5 + 0*z**4 + 0 - 1/3*z**3 + 2*z**2 + 0*z. Differentiate r(n) with respect to n.
-6*n**2
Suppose 5*q - 3*y - 123 = 0, 127 = 5*q - 0*q - 2*y. Find the third derivative of 29*m**2 - q*m**2 + 3*m**4 + 3*m**4 wrt m.
144*m
Suppose -2*t + 2 = -2*n, 4*n = n - 2*t - 8. Let h be (-1)/(n/8) - -2. Find the second derivative of -2*m + 0*m - h*m**3 + 4*m**3 wrt m.
-12*m
Let r(k) be the first derivative of -1/2*k**2 + 2 - k**3 + 0*k. Find the second derivative of r(s) wrt s.
-6
Let s(a) be the second derivative of a**7/1260 + a**6/360 - a**4/4 + 3*a. Let z(h) be the third derivative of s(h). Find the second derivative of z(b) wrt b.
4
Let m(g) = g**3 - 16*g**2 + 16*g - 12. Let f be m(15). Find the third derivative of -8*v + v - 6*v**f - 5*v**2 + 7*v wrt v.
-36
Let a(r) = -17*r**3 - 7*r - 2. Let j(p) = -p + 3*p + 0*p - 9*p**3 - 1 - 6*p. Let t(x) = 4*a(x) - 7*j(x). Differentiate t(d) with respect to d.
-15*d**2
Let l = -93 - -95. Let z(k) be the third derivative of -4*k**l - 1/40*k**6 + 0 - 1/30*k**5 + 0*k**4 + 0*k + 0*k**3. Find the third derivative of z(o) wrt o.
-18
Let k(j) = -j**3 - 10*j**2 + 10*j - 9. Let t(p) = -p - 21. Let a be t(-10). Let u be k(a). Find the second derivative of -u*v**5 + 0*v**5 - v + 0*v**5 wrt v.
-40*v**3
Let k be 69/18 - 1/(-6). Suppose z = -k*z. Differentiate -3*s + s + 2 + z*s with respect to s.
-2
Suppose 8 = -2*m + 3*x, 22 = 5*m + 2*x + x. Let u(z) be the third derivative of 0 - z**m - 1/12*z**4 + 1/3*z**3 + 0*z. Differentiate u(l) wrt l.
-2
Let x(y) be the third derivative of y**8/168 - y**5/15 - 6*y**2. Find the third derivative of x(w) wrt w.
120*w**2
Let w = -9 + 13. Let z(i) be the first derivative of 0*i**3 - 3*i + 1/4*i**w - 2 + 0*i**2. Differentiate z(r) wrt r.
3*r**2
Let o = 5 - 0. Suppose o*r = k, r + 0 = 1. Find the second derivative of 2*q + 2*q**k + q - q wrt q.
40*q**3
Let x(s) be the second derivative of 0*s**5 - 1/30*s**6 + 0 + 0*s**4 + 0*s**2 - 5*s + 1/3*s**3. What is the second derivative of x(u) wrt u?
-12*u**2
Let n(g) = -12*g**3 - 11*g**2 - 5. Let o(k) = 6*k**3 + 5*k**2 + 3. Let m(y) = 3*n(y) + 5*o(y). What is the third derivative of m(x) wrt x?
-36
Let y(p) = -p**5 - p**3 - p**2 - p. Let v(w) = -4*w**5 - 5*w**3 - 3*w**2 - 5*w. Let z(i) = -v(i) + 5*y(i). What is the third derivative of z(c) wrt c?
-60*c**2
Let s(v) be the second derivative of 0*v**2 + 1/10*v**5 + 0*v**4 + 0 - 1/2*v**3 - 4*v. What is the second derivative of s(l) wrt l?
12*l
Suppose -2*p - 12 = 3*u + p, -3*p - 10 = 5*u. Let l = 1 - u. What is the second derivative of -w - 2*w**2 + l*w + 2*w wrt w?
-4
Let k(n) be the third derivative of -5*n**8/84 + n**5/12 + 21*n**2. What is the third derivative of k(d) wrt d?
-1200*d**2
Suppose 6*t - 8 = 2*t. Let w(z) = -2*z + 16*z + t + 3*z. Let j(m) = 6*m + 1. Let u(f) = 11*j(f) - 4*w(f). Differentiate u(y) wrt y.
-2
Let v(y) = 8*y**2 + 5*y - 8. Suppose -3*t + 36 = -0*t. Let d(k) = 20*k**2 + 12*k - 20. Let p(n) = t*v(n) - 5*d(n). Differentiate p(c) wrt c.
-8*c
Let n(d) be the second derivative of 14*d**6/15 + 6*d**2 - 18*d. Differentiate n(r) with respect to r.
112*r**3
What is the second derivative of -o - 6*o + 0*o + 0*o - 2*o**4 wrt o?
-24*o**2
Let v be 98/84 - (-1)/(-6). Let n(a) = -a. Let c(z) = 4 - z - 5*z - 4*z**3 + 3*z**3. Let r(f) = v*c(f) - 6*n(f). Differentiate r(p) wrt p.
-3*p**2
Let k(x) = -10*x**2 - 47*x + 2. Let n(v) = -21*v**2 - 94*v + 5. Let w(m) = -5*k(m) + 2*n(m). Find the second derivative of w(j) wrt j.
16
Let m(z) be the third derivative of z**6/120 + z**4/24 - 6*z**2. What is the second derivative of m(j) wrt j?
6*j
What is the third derivative of 13*j**3 - 18*j**2 - 3*j**3 + 17*j**3 wrt j?
162
Let p(o) = o - 4. Let f = 11 - 8. Let k(u) = -f + 2*u - 6 + 0*u. Let d(t) = -2*k(t) + 5*p(t). What is the derivative of d(g) wrt g?
1
Let x(m) = m**2 + m - 1. Let r(d) = 3*d**2 + 0*d + 0 + 3 - 6 + 6*d. Let p(t) = -r(t) + 6*x(t). What is the first derivative of p(o) wrt o?
6*o
Let w be (-3)/(-15) - 19/(-5). Let o = w - -4. Find the second derivative of 2*j**2 + j - o + 8 wrt j.
4
Find the third derivative of -4*l + l + 7*l**6 - 9*l**2 + 3*l wrt l.
840*l**3
Let f(o) = -49*o**2 + 6*o + 11. Let u(a) = 10*a**2 - a - 2. Let h(y) = -6*f(y) - 33*u(y). What is the second derivative of h(j) wrt j?
-72
Let i = 3 - 1. Find the third derivative of -1 - 3*f**5 + 1 + f**i wrt f.
-180*f**2
Let y(i) be the first derivative of i**9/1008 - i**6/360 - i**3 - 2. Let d(c) be the third derivative of y(c). What is the third derivative of d(t) wrt t?
180*t**2
Suppose -134 = -4*c + 22. Find the first derivative of -c*k**2 + 39*k**2 + 3*k**3 - 6 wrt k.
9*k**2
Let p(k) = 51*k**4 - 4*k**3 - 4*k**2 - k. Let z(m) = 52*m**4 - 5*m**3 - 5*m**2 - m. Let x(y) = 5*p(y) - 4*z(y). What is the second derivative of x(c) wrt c?
564*c**2
Suppose -4*p + 11 = -1. What is the first derivative of p + f**3 - 3 + 3 wrt f?
3*f**2
Let s(r) be the third deriva