3 + 6*w**2. Differentiate m(p) wrt p.
-21*p**2
Let y = 11 - 7. What is the second derivative of -6*k**4 + 3*k**4 + 3*k**y - 14*k - 5*k**5 wrt k?
-100*k**3
Let t = -27 - -21. Let s(u) = 2*u - 17. Let d(l) = l. Let k(q) = t*d(q) + s(q). What is the derivative of k(a) wrt a?
-4
Let a(b) = 35*b**4 - 4*b**3 + 55*b - 3. Let v(w) = -35*w**4 + 3*w**3 - 54*w + 2. Let s(m) = 3*a(m) + 4*v(m). What is the second derivative of s(y) wrt y?
-420*y**2
Let f = -42 + 54. What is the second derivative of 23*v**3 - 9*v**3 + 0*v - f*v wrt v?
84*v
Let c(k) be the first derivative of k**6/2 + 46*k**5/5 + 121*k**3/3 - 76. What is the third derivative of c(g) wrt g?
180*g**2 + 1104*g
Find the second derivative of -124192*q**4 + 9*q**3 + 11*q + 124195*q**4 + 177*q wrt q.
36*q**2 + 54*q
Let o(i) = i + 5. Let u be o(-2). What is the second derivative of -22*x**u + 8*x**3 - 19*x - 11*x**3 wrt x?
-150*x
Let z(w) be the second derivative of 4/3*w**3 + 0 + 0*w**2 + 0*w**4 + 6*w + 5/42*w**7 + 0*w**5 + 0*w**6. Find the second derivative of z(d) wrt d.
100*d**3
What is the third derivative of -8*c**2 - 142*c**6 + 78*c**6 - 87*c**2 wrt c?
-7680*c**3
Let b(v) be the first derivative of 21*v**4 + 4*v**3/3 + 4*v + 39. Find the third derivative of b(g) wrt g.
504
Find the second derivative of 28 - 12*r**5 - 62*r - 28 wrt r.
-240*r**3
Let q(d) = 10*d - 18. Let u(i) = -21*i + 35. Let l(k) = -7*q(k) - 4*u(k). Differentiate l(y) wrt y.
14
Let u(p) be the second derivative of 19*p**6/3 - 31*p**3/6 - 9*p**2/2 + 177*p. What is the second derivative of u(o) wrt o?
2280*o**2
Suppose -3*d + 18 = 4*h, h = -3*d - 3 + 12. Differentiate 38 - 3*j - 33 + 20*j**2 + h*j wrt j.
40*j
Suppose 5*i = 5*c + 75, -i - c + 45 = 4*i. Differentiate i + 12767*r - 18*r**4 - 12767*r with respect to r.
-72*r**3
Let c(q) = -11*q**3 - 3*q**2 - 12*q + 56. Let m(a) = -a**2 - 2*a + 1. Let b(x) = c(x) - 3*m(x). Differentiate b(f) with respect to f.
-33*f**2 - 6
Let y(u) be the second derivative of -3*u**5/10 + 3*u**4/4 + 7*u**3/3 - 33*u + 3. Find the second derivative of y(s) wrt s.
-36*s + 18
Let g(z) be the third derivative of z**7/720 - 5*z**6/144 - z**5/5 + 31*z**2. Let j(w) be the third derivative of g(w). What is the derivative of j(o) wrt o?
7
Find the second derivative of -404*y**5 - 376*y + 153*y**5 + 17*y**5 wrt y.
-4680*y**3
What is the first derivative of 21 - 6*u**3 + 161 + 8 - 2*u**3 - u**3 wrt u?
-27*u**2
Let j(q) = -3*q + 26. Let c be j(8). Find the second derivative of 5 + 0 + 7*r**2 - 8*r + 26*r**c - 6 wrt r.
66
Suppose -k = -34 + 7. Find the second derivative of 17*b - 11*b**4 + k - 27 wrt b.
-132*b**2
Let m(g) be the second derivative of 0*g**2 + 0 + 29*g - 11/4*g**4 - 7/10*g**5 + 0*g**3. What is the third derivative of m(o) wrt o?
-84
Let r(d) = d**2 - 15*d + 17. Let m be r(14). What is the third derivative of -3*u**2 + 27*u**2 - 4*u**4 + 5*u**4 - m*u**4 wrt u?
-48*u
Let h(j) be the third derivative of 2/105*j**7 + 0*j**6 + 0*j - 1 + 0*j**4 + 2/3*j**5 + 0*j**3 + 5*j**2. Find the third derivative of h(f) wrt f.
96*f
Suppose 0 = 3*r - 4*r + 5*x + 15, 2*x = -r + 1. What is the second derivative of -4*u**4 + r*u**4 - u**3 - 7*u + u**3 wrt u?
12*u**2
Let g be (-2)/10 + (-31)/(-5). Let i(p) = 2*p - 4. Let j be i(4). Find the third derivative of -7 - 7*f**2 + j - g*f**5 + 3 wrt f.
-360*f**2
What is the first derivative of -62*j**2 - 17*j**2 - 843 + 79*j**2 - j**4 - 618*j**3 + 19*j**3 wrt j?
-4*j**3 - 1797*j**2
What is the first derivative of -54 - 14 + 24 + 11*j**4 wrt j?
44*j**3
Let j(n) = -13*n + 4. Let s be j(0). Let y(k) be the first derivative of 0*k**s + 4/5*k**5 + 0*k**2 + 3 + 0*k - 2*k**3. Find the third derivative of y(p) wrt p.
96*p
Suppose 0 = -2*u - 63 - 65. Let m be (-20)/(-3)*(-48)/u. What is the derivative of 7*q + m*q - 14 - 3*q + 3 wrt q?
9
Let y(q) be the second derivative of 0 + 0*q**2 + 1/10*q**6 - 3/2*q**3 + 4*q + 0*q**5 + 0*q**4. Find the second derivative of y(k) wrt k.
36*k**2
Let h(f) = -f**3 - f**2. Let z(g) = -2*g**2 + g**3 - 7*g**3 - 18*g**4 + 51*g**4. Let v(t) = 6*h(t) - z(t). What is the third derivative of v(a) wrt a?
-792*a
Let i be (4 - 1)*(-27)/(-9). What is the third derivative of r**2 + i*r**2 + 2*r**2 - 12*r**3 - 20*r**3 wrt r?
-192
Suppose -4*f + 7*f = -4*l - 88, -5*f + l - 139 = 0. Let d = f - -30. What is the second derivative of 52*j - 51*j + 9*j**2 - 2*j**d wrt j?
14
Let h be (-1)/3 - (-40)/12. Let v be 24/(-16)*(-4)/h. What is the derivative of 2 + 4*r**3 - 2 + 3 - v wrt r?
12*r**2
Suppose i + 1 - 14 = 0. Find the third derivative of 7*d**2 + i*d**4 + 0 - d**2 + 0 wrt d.
312*d
Find the third derivative of 124*i**5 - 10*i**2 + 274*i**5 - 11 - 543*i**5 wrt i.
-8700*i**2
Let x(y) = 5*y - 6. Let a(w) = 15*w - 18. Let n(h) = 6*a(h) - 17*x(h). Let p(j) = 14*j - 18. Let q(c) = -17*n(c) + 6*p(c). Differentiate q(r) with respect to r.
-1
Let v(y) be the first derivative of -y**8/240 + y**6/36 + 8*y**3/3 - 3. Let i(f) be the third derivative of v(f). What is the third derivative of i(r) wrt r?
-168*r
Let g(y) be the first derivative of 3*y**7/14 - y**3/2 - 4*y - 3. Let n(s) be the first derivative of g(s). What is the second derivative of n(v) wrt v?
180*v**3
Let w(f) = f**3 - 8*f**2 + f - 4. Let p be w(8). Differentiate -10*v + p - 5 - 3*v - v wrt v.
-14
Let s(m) = -163*m**2 + 136*m - 3. Let n(y) = -164*y**2 + 134*y - 4. Let b(u) = -3*n(u) + 4*s(u). Find the second derivative of b(p) wrt p.
-320
Suppose -25 = -5*t - 5. Find the second derivative of -8*w**4 + 7*w**t - 5*w - 6*w wrt w.
-12*w**2
Let f(n) be the first derivative of 0*n**4 + 0*n**3 + 0*n**5 + 0*n + 27/2*n**2 + 7/6*n**6 - 11. Find the second derivative of f(m) wrt m.
140*m**3
Let o(f) be the second derivative of 0*f**3 - 9*f + 13/2*f**2 + 3/4*f**4 + 0. What is the first derivative of o(w) wrt w?
18*w
Let v(y) be the third derivative of 7*y**6/30 + y**5/20 - 23*y**3/6 - 12*y**2 - 2. Find the third derivative of v(g) wrt g.
168
Let p(x) = -x**4 - x**3 - x**2 - x - 1. Let l(d) = 29*d**4 + 6*d**3 + 4*d**2 + 6*d + 479. Let t(c) = -l(c) - 6*p(c). What is the derivative of t(v) wrt v?
-92*v**3 + 4*v
Let q(j) be the first derivative of -169*j**6/6 + j**2/2 - 10*j + 241. Find the second derivative of q(i) wrt i.
-3380*i**3
What is the second derivative of 553*c**4 + 179*c**5 - 608*c - 80 + 80 - 279*c**4 - 273*c**4 wrt c?
3580*c**3 + 12*c**2
Find the third derivative of 7*b**4 - 2*b + 1366*b**3 - 4*b**2 - 1368*b**3 - 6*b**2 wrt b.
168*b - 12
Let p(x) be the first derivative of -206*x**3/3 + 122*x + 134. Find the first derivative of p(h) wrt h.
-412*h
Let f(y) be the second derivative of 0*y**2 + 9*y + 5/12*y**4 + 0 - 7/6*y**3 + 1/4*y**5. What is the second derivative of f(k) wrt k?
30*k + 10
Let v = 0 + -6. Let d = v - -49. Differentiate 3 + 12*c**2 - d*c**2 + 22*c**2 wrt c.
-18*c
Let a(p) = 48*p**5 + 7*p**4 - 48*p**2. Let h(n) = -47*n**5 - 6*n**4 + 49*n**2. Let y(r) = 6*a(r) + 7*h(r). Find the third derivative of y(q) wrt q.
-2460*q**2
Let u(h) be the third derivative of h**6/24 - h**5/60 + 13*h**3/6 + 15*h**2. Let z(d) be the first derivative of u(d). Find the second derivative of z(v) wrt v.
30
Suppose 4*b = -b - 5. Let c = b + 6. Find the second derivative of -c*u**2 + 0*u + 8*u - 5*u**2 wrt u.
-20
Let c(w) = 103*w**3 - 5*w**2 - 9*w + 5. Let g(z) = z**3 + z**2 - z. Let i(p) = c(p) + 5*g(p). What is the second derivative of i(q) wrt q?
648*q
Let d(q) = -q**2 - 13*q + 11. Let m be d(-13). Differentiate -5*h**4 - 20*h**4 + 14 + m*h**4 with respect to h.
-56*h**3
Let s(q) be the third derivative of 1/12*q**4 + 0 - 10*q**2 + 0*q + 0*q**6 + 1/21*q**7 + 0*q**5 + 0*q**3. What is the second derivative of s(c) wrt c?
120*c**2
Let l(h) be the second derivative of 14*h**6/15 - 5*h**3/2 - 3*h**2/2 - 19*h. Find the second derivative of l(u) wrt u.
336*u**2
Let a(f) be the third derivative of 5 - 3*f**2 + 9/20*f**5 + 3*f**3 + 0*f**4 + 0*f. What is the first derivative of a(p) wrt p?
54*p
Let j(r) be the first derivative of 13*r**5/120 + 5*r**4/8 + 4*r**3/3 + 5. Let q(b) be the third derivative of j(b). What is the derivative of q(i) wrt i?
13
What is the second derivative of -13*t - 21*t + 19*t**4 + 11*t wrt t?
228*t**2
What is the third derivative of 9148*p**4 + 136*p**2 - 4573*p**4 - 31*p**3 - 4573*p**4 wrt p?
48*p - 186
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