ind the first derivative of u(j) wrt j.
-1683*j**2
What is the first derivative of 40 - 68*o**3 - 147*o + 147*o wrt o?
-204*o**2
What is the second derivative of 12*d**2 - 24 + 92*d**2 + 2*d + 33*d**2 + 0 wrt d?
274
Let b(x) = -117*x**2 + 11*x - 5. Let o(n) = n**3 - 7*n**2. Let y(q) = -b(q) - 2*o(q). What is the second derivative of y(k) wrt k?
-12*k + 262
What is the derivative of 50*n**3 + 60*n**2 - 51*n**3 - 24*n**2 + 17*n**2 - 13 wrt n?
-3*n**2 + 106*n
Suppose -2*r - 32 = -5*y, 0 = -y - 4*r + 16 + 8. Differentiate -y*x - 6 - 8 + 4 wrt x.
-8
Let q be (5 - 1) + -1 + 7. Suppose -3*s + q = -r, -5*s + 3*r + 25 - 3 = 0. Differentiate -2*w - 2*w - 17 - s*w + 22 with respect to w.
-6
Let g(x) be the first derivative of -x**6/2 - 2*x**3/3 + 5*x**2 + 62. What is the third derivative of g(r) wrt r?
-180*r**2
What is the second derivative of -9*s**4 + 4*s**4 - s**3 + 2*s**3 - 53 - s**3 - 2*s wrt s?
-60*s**2
Let s = 89 - 81. Find the second derivative of -35*o - s*o**3 + 11*o**3 - 3*o**3 + 32*o**5 wrt o.
640*o**3
Let x(t) be the third derivative of 577*t**9/504 - 17*t**5/30 + 2*t**3/3 - 415*t**2. What is the third derivative of x(l) wrt l?
69240*l**3
Let i = 1 - -8. Suppose -8*c = -i*c + 5. Find the third derivative of -o**2 - 2*o**2 + 108*o**5 - 112*o**c wrt o.
-240*o**2
Let r(n) = 14*n**3 + 5. Let l be (-1)/(4/8 + -1). Let w(s) = -8 - 1 - 27*s**3 - l. Let o(u) = -11*r(u) - 6*w(u). Find the first derivative of o(x) wrt x.
24*x**2
Let m be ((-117)/(-6))/(-26 + 35). Let c(v) be the third derivative of 0*v + 0 + m*v**3 - 1/12*v**4 - 6*v**2. Differentiate c(r) wrt r.
-2
What is the first derivative of -123*x - 5*x**2 + 59*x - 165 + 78*x wrt x?
-10*x + 14
Let x(d) be the first derivative of 14*d - 2*d**4 + 16*d - 6*d**4 - 7 - 19. What is the derivative of x(r) wrt r?
-96*r**2
Let t(i) = 7*i - 7. Let s(j) = 6 + 4*j - 17 + 3 + 4. Let c(r) = 7*s(r) - 3*t(r). What is the derivative of c(h) wrt h?
7
Suppose a + 10 = 3*a, -l - 32 = -4*a. Let d(r) = -r - 12. Let t be d(l). What is the second derivative of 3*f + 4*f**5 + t*f - 4*f wrt f?
80*f**3
Let d(o) be the first derivative of -588*o**5/5 + 467*o - 173. Differentiate d(v) with respect to v.
-2352*v**3
Suppose -3*t + 195 = 30. What is the derivative of -26*f + t*f + 27 - 47*f wrt f?
-18
Suppose -3*z + 0*a = a - 9, -4*z = -4*a - 12. Find the second derivative of -2*h - 7*h**z + 2*h**3 + 6*h - 16*h**3 wrt h.
-126*h
Let q(x) = x**6 + x**4 - x**3 + x. Let r(t) = 171*t**6 - 4*t**4 + 4*t**3 - t**2 - 4*t - 25. Let c(i) = 4*q(i) + r(i). Find the third derivative of c(l) wrt l.
21000*l**3
Suppose -5*o - 39 = 2*y + y, 5*o + 53 = 4*y. Let m be (3/o)/(2/(-18)). What is the third derivative of 4*s**2 - m*s**2 + 6*s**4 - 4*s**4 wrt s?
48*s
Suppose 0 = -2*s - 8 + 18, 4*s - 16 = q. What is the second derivative of q*m**2 - 30*m - 11 - m**2 + 11 wrt m?
6
Let h(p) = p**3 + 12*p**2 + 10*p - 9. Let t be h(-11). Find the third derivative of -6*m**t + 30*m**6 - 10*m**6 - 16*m**6 wrt m.
480*m**3
Let p(h) be the second derivative of 37*h**6/30 - h**4/12 - 25*h**3/6 + 66*h. What is the second derivative of p(j) wrt j?
444*j**2 - 2
Suppose 0 = t - 4*h + 9, -8 - 22 = -5*t - 5*h. Find the third derivative of -13*l**2 - l**3 + 9*l**2 + l**3 + 5*l**t wrt l.
30
Let o(i) be the third derivative of -1/30*i**6 + 5/24*i**4 + 0*i - 41/6*i**3 + 0 + 6*i**2 + 0*i**5. Differentiate o(s) wrt s.
-12*s**2 + 5
Let t(j) = -3*j**2 + 3*j - 2. Let s(f) = 2*f + 1. Let k(n) = -s(n) + t(n). What is the second derivative of k(i) wrt i?
-6
Let x be ((-16)/120)/((8/42)/(-2)). Let f(n) be the first derivative of 0*n**4 + 0*n**3 - 9*n + 0*n**2 + 2 - x*n**5. What is the first derivative of f(i) wrt i?
-28*i**3
Let z = -1373 - -1377. Let f(g) be the second derivative of 0*g**2 - 3/4*g**z + 1/3*g**3 - 14*g + 0. Find the second derivative of f(v) wrt v.
-18
Let i(t) = -t - 15. Let c be i(-17). Differentiate -4*v**2 + 5*v**c + 5*v**2 + 3 + 7 with respect to v.
12*v
Let t(a) = 98 - 98 + a. Let s(k) = 32*k + 19. Let z(f) = -s(f) + 5*t(f). Differentiate z(o) wrt o.
-27
Let m(j) be the first derivative of 5*j**7/42 + 5*j**3/6 - 2*j - 4. Let w(k) be the first derivative of m(k). Find the second derivative of w(q) wrt q.
100*q**3
Let i(v) = 4*v**2 - 7*v + 1. Let s be i(3). What is the third derivative of -8*y - 3*y**2 - 16*y**3 - 8*y + s*y wrt y?
-96
Suppose -30 = -6*d - 18. Let y be 5/(-2)*-2 + -2. What is the third derivative of 7*q**d - 5*q**y + 5*q**2 - 7*q**2 wrt q?
-30
Find the third derivative of -4*f**2 + 13*f**2 + 95*f**2 - 60*f**4 wrt f.
-1440*f
Let x(y) = -73*y**4 - 93*y**2 + 2*y - 2. Let z(a) = -510*a**4 - 650*a**2 + 15*a - 15. Let m(k) = -15*x(k) + 2*z(k). Find the third derivative of m(u) wrt u.
1800*u
Let b(m) be the third derivative of -5/24*m**4 + 0*m - 1 - 1/60*m**6 + m**2 + 1/6*m**5 - 2/3*m**3. Find the second derivative of b(l) wrt l.
-12*l + 20
Let o(h) be the third derivative of -7/8*h**4 + 16*h**2 + 0 - 19/6*h**3 + 0*h. What is the first derivative of o(b) wrt b?
-21
Let y = -6 + 2. Let g = y - -10. Find the third derivative of -3*o**5 + 0*o**5 - 2*o**2 + g*o**2 - o**2 wrt o.
-180*o**2
Let g(n) = -832*n**3 + 63*n**2 - 13*n - 10. Let h(c) = -1249*c**3 + 95*c**2 - 20*c - 14. Let b(z) = 7*g(z) - 5*h(z). Find the third derivative of b(q) wrt q.
2526
Let h = 29 - 15. Suppose -p - h = -3*p. What is the second derivative of -s**4 - 3*s**4 + 6*s**4 - p*s wrt s?
24*s**2
Let c(p) = -p**2 - p. Let u(m) = -45*m**2 - m - 53. Let q(z) = 3*c(z) - u(z). What is the first derivative of q(i) wrt i?
84*i - 2
Let t be ((-7)/(-7))/((-2)/(-4)). What is the third derivative of 1151*d**2 - 9*d**6 - 12*d**6 - d**6 - 1154*d**t wrt d?
-2640*d**3
Let x(f) = f**2 - 6*f - 5. Let r be x(-4). Let i = r + -33. Find the first derivative of -1 - 6 - i - 1 - 7*k**4 wrt k.
-28*k**3
Let r be (-70)/(-21) - 2/6. Suppose 2*c - r = 3. What is the second derivative of 9*d + 7*d**3 - c*d - d**3 wrt d?
36*d
Let v(x) be the third derivative of x**5/30 + 15*x**4/8 + 121*x**3/6 - 33*x**2. Find the first derivative of v(w) wrt w.
4*w + 45
Let f(x) be the first derivative of -x**3 + 78*x + 52. Find the first derivative of f(r) wrt r.
-6*r
Suppose 3*n - 6 = -0*n. Find the second derivative of -11*x + n*x**2 + x**2 + 7*x**2 - 3*x**2 wrt x.
14
Let r(x) = -x**2 + 10*x - 11. Let b be r(4). Find the third derivative of 59 - 59 + 3*d**2 - b*d**4 + 11*d**2 wrt d.
-312*d
Find the third derivative of j**6 + 20*j**3 + 3 + 20*j**3 + 19*j**2 + 259*j**3 wrt j.
120*j**3 + 1794
Find the first derivative of 29 + 62 + 2 - 33*q**2 wrt q.
-66*q
What is the first derivative of -5069*t + 5069*t + 316 + 72*t**2 wrt t?
144*t
Let s(q) be the second derivative of 5*q + 0*q**4 + 0*q**2 - 11/30*q**6 + 0 + 5/6*q**3 + 0*q**5. Find the second derivative of s(a) wrt a.
-132*a**2
Let u(f) = f + 15*f**3 - 4*f - 5*f**2 - 14*f**3 - 12 + 0*f**2. Let n be u(6). What is the third derivative of -8*c**6 - 3*c**4 + n*c**4 - 7*c**2 - 3*c**4 wrt c?
-960*c**3
Let u(s) be the second derivative of 3*s**7/70 + s**4/3 + s**2 + s. Let k(d) be the first derivative of u(d). What is the second derivative of k(a) wrt a?
108*a**2
Suppose 3*t + 4*w = 14, 0 = 2*t - w + 4*w - 10. Suppose -s + t = -2. What is the derivative of -7 - 3*y**2 + 5*y**2 - 2*y**2 + s*y**3 wrt y?
12*y**2
Let i(x) = -x**2 - 5*x - 4. Let t be i(-3). What is the third derivative of 22*r**4 - 8*r**4 + 13*r**2 - 2*r**t wrt r?
336*r
Let x(j) be the third derivative of -j**8/84 - j**6/40 + 151*j**5/60 - 5*j**2 - j. What is the third derivative of x(q) wrt q?
-240*q**2 - 18
Let m = 117 + -90. Find the second derivative of 3*p - m*p**3 + 3*p - 2*p wrt p.
-162*p
Suppose 8*h = 2*h + 288. Let o be 444/h - (-2)/(-8). What is the derivative of -3 - o - u + 6*u + 7 wrt u?
5
Let z = -3 + 10. Let r(n) = n - 4. Let a be r(z). What is the second derivative of 8*i - 2*i**a - 10*i**3 + 0*i**3 - 3*i wrt i?
-72*i
Let f(m) = 3*m - 14. Let d be f(6). What is the derivative of -5*c + d*c + 6*c + 17 wrt c?
5
Suppose -81*b + 540 = 27*b. Let h(w) be the first derivative of 0*w**4 + 5 - 9/5*w**b + 0*w**2 - 1/3*w**3 + 0*w. What is the third derivative of h(y) wrt y?
-216*y
Let m be ((1 - 3) + 3)/(0 - -3). Let n(v) be the second derivative of m*v**3 - 3*v - 5/2*v**2 + 0. What is the derivative of n(a) wrt a?
2
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