
-3776*n**3
Let o(i) be the second derivative of -i**4 + i**3/3 + 61*i**2/2 + 19*i. Differentiate o(d) with respect to d.
-24*d + 2
What is the derivative of -12*y + 6 - 16 + 5*y - 23*y wrt y?
-30
Let g(m) be the third derivative of -181*m**4/6 - 613*m**3/6 + 230*m**2. Find the first derivative of g(h) wrt h.
-724
Let i(p) be the third derivative of -1/10*p**5 + 4/3*p**3 + 0*p**4 - 10*p**2 + 0 + 0*p. Differentiate i(h) wrt h.
-12*h
Let x(n) = 639*n**3 + 944*n**2 - 9*n. Let a(m) = -319*m**3 - 472*m**2 + 4*m. Let w(d) = 9*a(d) + 4*x(d). What is the third derivative of w(u) wrt u?
-1890
Find the third derivative of -19 - 116*r**3 - 4*r**2 - 13 + 3*r**2 - 2*r**2 wrt r.
-696
Let h(u) = 66*u**5 - u**2 - u - 151. Let l(i) = 66*i**5 - 2*i**2 - i - 152. Let x(p) = -3*h(p) + 2*l(p). What is the second derivative of x(c) wrt c?
-1320*c**3 - 2
Let f(i) be the second derivative of 5*i**7/42 + 7*i**5/10 - i**4/12 + 89*i**2/2 - i + 31. What is the third derivative of f(r) wrt r?
300*r**2 + 84
What is the second derivative of 73*f - 34*f - 48*f - 2 - 120*f**2 wrt f?
-240
Let f(p) be the second derivative of -193*p**3/6 + 237*p**2/2 - 4*p + 2. Differentiate f(i) with respect to i.
-193
Let c(l) be the third derivative of -1/24*l**4 + 0*l + l**2 + 0*l**3 - 3/20*l**5 + 0. What is the second derivative of c(x) wrt x?
-18
Suppose -12 = -0*x - 4*x + 2*m, 2*m - 24 = -5*x. What is the derivative of x - 2*f**3 + 6 - f**3 + 12*f**3 wrt f?
27*f**2
Let j(d) be the second derivative of 5*d**5/2 - d**4/12 + 163*d**3/6 - 72*d. What is the second derivative of j(x) wrt x?
300*x - 2
Let q be (3 - 3)/(-5) - 9. Let d(m) = -9*m + 1. Let f(j) = 17*j - 1. Let h(z) = q*d(z) - 4*f(z). Find the first derivative of h(w) wrt w.
13
Let h(d) be the first derivative of -d**7/168 + d**6/24 - 10*d**3/3 + 14. Let r(z) be the third derivative of h(z). What is the third derivative of r(a) wrt a?
-30
What is the second derivative of 54*q**2 - 22 + 2*q - 2*q + 5*q**2 - q + 9*q**2 wrt q?
136
Let v(n) be the third derivative of 0*n**4 + 0*n**5 + 0*n + 1/60*n**6 + 0 - 2*n**2 + 3/2*n**3. What is the derivative of v(z) wrt z?
6*z**2
Let s = -49 - -83. Differentiate 35*d**3 - 6 - s*d**3 - 21*d**3 with respect to d.
-60*d**2
Let i(r) = r**3 + r**2 - r - 1. Let o(n) = 65*n**3 + 10*n**2 - 10*n - 40. Let f(d) = 10*i(d) - o(d). Find the first derivative of f(k) wrt k.
-165*k**2
What is the derivative of 2*u**4 - u**4 - 5*u**4 - 6*u**2 + 136 + 11*u**2 + 2*u**4 wrt u?
-8*u**3 + 10*u
Suppose 4*t + 19*t - 253 = 0. Let i(j) be the first derivative of 3*j + 5/2*j**2 - t. Find the first derivative of i(w) wrt w.
5
Let t(i) be the second derivative of -19*i**8/7 + 2*i**4/3 - 3*i - 20. What is the third derivative of t(m) wrt m?
-18240*m**3
Let r(d) be the second derivative of 0 + 3/2*d**2 + 3/4*d**4 - 30*d + 0*d**3. What is the first derivative of r(m) wrt m?
18*m
What is the second derivative of 3*g**3 + 3071*g - 3082*g - 3*g**3 - 2*g**3 + 3 wrt g?
-12*g
Let z(s) be the first derivative of 7/2*s**2 + 0*s**3 - 13 + 23/5*s**5 + 0*s + 0*s**4. What is the second derivative of z(h) wrt h?
276*h**2
Suppose 17 = -h - 5. Let v = -19 - h. What is the second derivative of 6*r**2 + 8*r**2 + 0*r**2 - 7*r - v*r**2 wrt r?
22
Let x(k) be the second derivative of 3/7*k**7 - 17/6*k**3 + 0*k**6 + k**2 + 1/20*k**5 + 0*k**4 + 51*k + 0. What is the second derivative of x(y) wrt y?
360*y**3 + 6*y
Let o = 949/6 + -158. Let a(v) be the third derivative of 0*v**4 + 0*v + 1/10*v**5 + 0 + o*v**3 - 5*v**2. Find the first derivative of a(d) wrt d.
12*d
What is the third derivative of 161*a**6 + 15*a**6 + 54*a - 29*a - 2*a**2 wrt a?
21120*a**3
Let i(v) = 3045*v**3 + 985*v + 26. Let b(y) = -761*y**3 - 246*y - 7. Let f(r) = -15*b(r) - 4*i(r). What is the second derivative of f(z) wrt z?
-4590*z
Let i(y) = -6*y**3 + y + 1. Let s(h) = 166*h**3 - h**2 + h + 81. Let w(p) = 2*i(p) - s(p). Find the second derivative of w(g) wrt g.
-1068*g + 2
Let c(m) be the third derivative of 2/3*m**3 + 0*m**4 + 0 + 0*m + 0*m**5 - 18*m**2 - 7/40*m**6. What is the derivative of c(d) wrt d?
-63*d**2
Let i(x) be the first derivative of -32*x**2 - 198*x - 118. What is the derivative of i(o) wrt o?
-64
Find the first derivative of -a - a**2 - 30 + a + 3*a**2 + 4*a wrt a.
4*a + 4
What is the second derivative of 31*r**4 + 6*r**4 + 193*r - 249*r wrt r?
444*r**2
Let v be (-6 - -4) + (2 - -303). Find the second derivative of -303*m**3 + v*m**3 - 15*m - 9*m**4 wrt m.
-108*m**2
Let q = -205 - -209. Let y(h) be the second derivative of q*h + 0*h**3 + 1/4*h**4 + 0 - 2*h**2. What is the first derivative of y(b) wrt b?
6*b
Let y(j) = 1943*j**3 - 8*j**2 + 62*j - 349. Let b(p) = 1295*p**3 - 5*p**2 + 39*p - 233. Let q(m) = -8*b(m) + 5*y(m). Find the second derivative of q(h) wrt h.
-3870*h
Let d(a) be the third derivative of 0*a**6 + 0 + 5/336*a**8 + 0*a + 0*a**4 - 1/6*a**5 + 0*a**7 - 3*a**2 + 0*a**3. What is the third derivative of d(g) wrt g?
300*g**2
What is the derivative of -o**2 - 182*o**3 - 186*o**3 + 369*o**3 + 3*o**2 + 582 wrt o?
3*o**2 + 4*o
Let d(o) = -6*o**4 + o**5 - o**2 + 6*o**4 - 1. Let m(v) = -3*v**5 + 7*v**2 - 2. Let r(a) = -2*d(a) + m(a). Find the third derivative of r(x) wrt x.
-300*x**2
Suppose v - 6*v - 3*u = -15, -v = 3*u - 3. What is the third derivative of -30*n**2 + 3*n**4 - v*n**2 - 12*n**4 wrt n?
-216*n
Let t(i) = 2*i**2 + i + 1. Let k(f) = -5*f**2 + 16*f - 44. Let a(p) = -k(p) - 3*t(p). Find the first derivative of a(m) wrt m.
-2*m - 19
Let h(u) be the third derivative of 55*u**8/168 + 5*u**4/24 + 3*u**2 - 6. Find the second derivative of h(y) wrt y.
2200*y**3
Find the third derivative of -10*i**6 - 1096*i**2 + 1094*i**2 + 39 + 3 wrt i.
-1200*i**3
What is the derivative of 25 - 22*k**4 - 13 + 30 wrt k?
-88*k**3
Let z(k) be the third derivative of -7*k**4/2 - k**3/3 - 2*k**2 + 11. What is the derivative of z(s) wrt s?
-84
Let b(x) = x**2 + x + 3. Let y be b(0). Let j be 38/y + 2/(-3). What is the first derivative of -5*o + 5*o - o**4 - 18 + j wrt o?
-4*o**3
Suppose -2*j - 3 = -13. What is the third derivative of -13*x + 6*x**j + 13*x + 11*x**2 - 7*x**5 wrt x?
-60*x**2
What is the first derivative of 179*i**2 + 898 - 14*i**2 + 309*i**2 + 112*i**2 - 187 wrt i?
1172*i
Find the first derivative of 113 + 278*w + 119 - 73 + 14 + 48 wrt w.
278
Let u(d) = d - 2. Let s be u(5). Suppose s*q + 0*q + 4*h - 22 = 0, q = -3*h + 14. What is the third derivative of -3*p**4 - p**2 - p**4 - p**q - p**4 wrt p?
-120*p
Suppose 3*m = -2*p - 25, -2*m + 18 = -3*p - 0*m. Let x = p + 13. Differentiate 0 + 30*g - 27*g + x - 1 with respect to g.
3
Let b(q) = 454*q**2 - 539*q - 5. Let c(l) = -454*l**2 + 539*l + 6. Let i(o) = 6*b(o) + 5*c(o). What is the second derivative of i(u) wrt u?
908
Let m(s) be the second derivative of 17*s**8/1680 - s**4/24 + 17*s**3/6 + 6*s. Let i(z) be the second derivative of m(z). Differentiate i(v) with respect to v.
68*v**3
Let d(m) = 13*m**3 - 2*m - 9. Let r(s) = -26*s**3 + 5*s + 19. Suppose 4*x + 14 = 3*b, -3*x + 0*b + b = 8. Let j(k) = x*r(k) - 5*d(k). Differentiate j(o) wrt o.
-39*o**2
Suppose -l = 4*n - 7, 1 = -2*n - 4*l + 15. Differentiate o - n + 12 + 16*o wrt o.
17
Suppose 4*k + 0*k - 8 = 0. Differentiate -2*d**2 - 16 - d**2 + k + 1 wrt d.
-6*d
Let d(i) be the first derivative of i**6/90 - 7*i**5/120 - 5*i**3/3 + 2. Let k(p) be the third derivative of d(p). What is the second derivative of k(z) wrt z?
8
Let l be (-805)/(-63) + (-4)/(-18). Find the second derivative of -48*c**5 + 16*c**5 - l*c + 4*c + 6*c - 10 wrt c.
-640*c**3
Let w(z) be the first derivative of -z**6/40 - 5*z**3/6 - 13*z**2/2 + 6. Let m(x) be the second derivative of w(x). What is the derivative of m(v) wrt v?
-9*v**2
Suppose -5 = -2*l + 11. Suppose 0 = 4*g + 2*x + 3*x + l, 0 = -g + x + 7. What is the third derivative of 2*f**g - 3*f**2 - 3*f**2 + 3*f**2 + 0*f**3 wrt f?
12
Let x(q) be the first derivative of 31*q**6/6 - 9*q**2/2 - 14*q + 361. What is the second derivative of x(i) wrt i?
620*i**3
Let p(s) = 7*s**3 - 12*s**2. Let n = 10 - 7. Let j(c) = 17*c**3 - 23*c**2 - c**3 - 2*c**n. Let t(a) = 4*j(a) - 7*p(a). Find the third derivative of t(m) wrt m.
42
Let n(k) be the third derivative of 9*k**5/2 + 25*k**4/2 - 162*k**2. What is the second derivative of n(s) wrt s?
540
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