u**2 + 11*u**2 - h*u**2 + 16 wrt u.
6*u
Let i(y) be the first derivative of -1744*y**3/3 + y**2/2 + 1968*y - 2021. Differentiate i(b) wrt b.
-3488*b + 1
Let t(y) = 1882*y**4 + 7*y**3 + 579*y + 14. Let p(a) = -627*a**4 - 2*a**3 - 193*a - 4. Let l(q) = -7*p(q) - 2*t(q). What is the second derivative of l(g) wrt g?
7500*g**2
Let s(m) be the first derivative of -12 - 11*m - 11/6*m**3 + 9/2*m**2. Let a(v) be the first derivative of s(v). What is the derivative of a(u) wrt u?
-11
Suppose -3*k - 4*g = -138, -k + 54 = 5*g - g. Find the first derivative of -9*q + 23*q + k*q - 31 + 14*q wrt q.
70
Differentiate -954 + 3214*u - 1924 - 199 wrt u.
3214
Let s(h) be the first derivative of -288 - 13/3*h**3 - 7/2*h**2 + 301*h. Differentiate s(q) wrt q.
-26*q - 7
Suppose -3*n = -12 + 3, -2*a - 2*n + 10 = 0. What is the third derivative of 11*t**4 + 24*t - 14*t**2 + 10*t**a - 16*t**3 + 9*t**3 wrt t?
264*t - 42
Let u(b) be the third derivative of -18*b**3 + 0 + 89/24*b**4 + 104*b**2 + 0*b. Find the first derivative of u(v) wrt v.
89
What is the third derivative of -2211*s**5 + 4509*s**5 + 2 - 4389*s**6 - 1418*s**2 - 2298*s**5 wrt s?
-526680*s**3
Let g(d) be the second derivative of 83*d**3/6 + 45*d**2/2 - 497*d. Differentiate g(k) with respect to k.
83
What is the first derivative of -654*j + 3811 + 1140*j + j**4 + 37*j**3 - 537*j wrt j?
4*j**3 + 111*j**2 - 51
Suppose -3*h = -p + 14, 3*p - 26*h = -21*h + 34. Find the third derivative of 5*r**6 - 9 - 13*r**2 + p*r**2 + 2*r**5 + 0*r**2 wrt r.
600*r**3 + 120*r**2
Let r(t) be the second derivative of 457*t**6/3 + 1893*t**2 - 30*t + 56. What is the derivative of r(h) wrt h?
18280*h**3
Let v(q) be the second derivative of 1121*q**4/12 + 163*q**3/6 - q**2 - 7*q - 195. Find the second derivative of v(c) wrt c.
2242
Let v(h) = -h**3 + 23*h - 26. Let s be v(4). Differentiate 44*x**s + 325 - 369 + 55*x**2 with respect to x.
198*x
Let w(o) be the first derivative of -2*o**5/5 - 8*o**4 + o**3/3 - 4714*o**2 - 5054. What is the second derivative of w(f) wrt f?
-24*f**2 - 192*f + 2
Let a(f) be the first derivative of 3073*f**6/3 - 2*f**3/3 - f**2/2 + 1959*f + 10655. What is the third derivative of a(b) wrt b?
368760*b**2
Let w = 1696 + -1693. Let g(s) be the first derivative of 0*s - 5/2*s**2 + 0*s**4 - 34/5*s**5 + 37 + 0*s**w. What is the second derivative of g(x) wrt x?
-408*x**2
Suppose 390*v - 392*v = -4. Suppose 5*b = f - 16 + 3, 4*b + 2 = -2*f. Differentiate 19 - f - 10*c**3 - v*c**3 with respect to c.
-36*c**2
Let j = 408 + -379. What is the third derivative of j*v - 41*v**3 + 118*v**3 + 36*v**2 - 33*v**2 wrt v?
462
What is the third derivative of 796*h**2 + 190141*h**4 - 3*h - 190141*h**4 + 2892*h**6 wrt h?
347040*h**3
Let v = 20 - 0. Suppose 3*l + 11 - v = 0. Find the third derivative of -13*p**2 - p**2 + 10*p**l - 3*p**2 + 4*p**2 wrt p.
60
Suppose -4*v - 2*p = -10, 3*v + p = 5 + 3. What is the second derivative of -8*x - 3*x**v - 25*x - 22*x + x**3 + 19*x**2 wrt x?
-12*x + 38
Let k(z) be the second derivative of -1691*z**5/10 - 37*z**4/12 + 34*z**2 + 4967*z. Find the third derivative of k(u) wrt u.
-20292
Let m(x) be the second derivative of 1/42*x**7 + 1/30*x**6 + 65*x + 0*x**5 + 0*x**2 - 1/2*x**3 + 8/3*x**4 + 0. Find the third derivative of m(n) wrt n.
60*n**2 + 24*n
Let r(t) be the second derivative of 0*t**3 + 23/6*t**6 + 0 + 0*t**5 - 119/2*t**2 + 0*t**4 + 142*t. Differentiate r(a) with respect to a.
460*a**3
Let y(g) be the second derivative of 46*g**2 + 0 + 0*g**3 - 210*g - 37/12*g**4. Find the first derivative of y(m) wrt m.
-74*m
Let u(l) = 1025*l**3 - 10*l**2 + 2*l + 999. Let x(w) = -w**3 - 5*w**2 + w. Let b(t) = -2*u(t) + 4*x(t). What is the derivative of b(i) wrt i?
-6162*i**2
Let u(n) be the third derivative of 527*n**6/40 + n**4/24 + 1493*n**3/6 - 5337*n**2. What is the second derivative of u(r) wrt r?
9486*r
Find the second derivative of 119*d**2 + 333*d**2 - 1312*d + 458*d**2 + 599*d**2 + 331*d**2 wrt d.
3680
Let f(t) = 6173*t**2 + 5525*t + 24. Let k(w) = 6177*w**2 + 5524*w + 22. Let n(m) = -11*f(m) + 12*k(m). What is the second derivative of n(o) wrt o?
12442
Let k be 2 + 67 + 7/(-1). What is the first derivative of k + 14*j**3 + 140*j**3 - 31*j**3 + 55*j**3 wrt j?
534*j**2
Let n(s) = -3*s - 11. Suppose -5*p - 3 = 22. Let u be n(p). What is the first derivative of -u + 4*h**4 + 2 + 9*h**4 + 3 wrt h?
52*h**3
Let j(c) be the second derivative of 20*c - 71/15*c**6 + 0*c**5 + 1/2*c**3 - 1 + 0*c**2 + 1/12*c**4. What is the third derivative of j(w) wrt w?
-3408*w
Let j(b) be the second derivative of 0*b**4 + 0*b**5 + 32*b**2 + 0*b**3 + 53 + 41/10*b**6 + b. What is the first derivative of j(w) wrt w?
492*w**3
Let v(t) = -t**2 + 17*t - 70. Let f be v(10). What is the second derivative of -112*d + 2 + f*d**3 - 44*d**4 + 0*d**3 + 49*d wrt d?
-528*d**2
Let w(n) = n**2 - 17*n + 18. Let j be w(16). What is the second derivative of -29 + 3*m + m + 0*m**2 - 30*m**j + 2*m**5 - 2*m wrt m?
40*m**3 - 60
Suppose -393 = -j - 387. Let n(f) = 43*f**2 + 3*f - 11. Let o(b) = 174*b**2 + 13*b - 44. Let x(g) = j*o(g) - 26*n(g). Differentiate x(a) with respect to a.
-148*a
What is the second derivative of 2*h**4 + 23*h**5 + 620*h - 2*h**3 + 2810*h + 233*h - 93*h**5 wrt h?
-1400*h**3 + 24*h**2 - 12*h
Let a(c) be the second derivative of -107/20*c**5 + 101 - 31/6*c**4 + 0*c**3 + 0*c**2 + 2*c. Find the third derivative of a(t) wrt t.
-642
Suppose 0*w = 2*w. Suppose -2*s + 8 = w, 5*s - 3 - 11 = 3*p. Find the second derivative of 5*i**2 - 11*i**p + 6*i**2 - 15*i - 10*i**4 wrt i.
-120*i**2
Suppose 8*p = 330 - 58. Let y be 106/34 + (-4)/p. What is the second derivative of -20*v - 13*v**5 - v**3 + 13*v + v**y wrt v?
-260*v**3
Let u(h) = 23*h - 6 + 20*h + h**3 - 11*h**2 - 36*h. Let z be u(11). Differentiate 11 - 6*b**4 + 71*b - z*b with respect to b.
-24*b**3
Let o(j) = -j**3 - j. Let p(x) = 3*x**3 + 102*x**2 - 20*x + 2. Let k = -359 + 357. Let h(l) = k*o(l) - p(l). Find the second derivative of h(c) wrt c.
-6*c - 204
Suppose 4*p = p + 27. Let w be (3/2)/(p/12). What is the third derivative of -7*f**4 + 5*f**2 + 2*f**2 + 3*f**w + 20*f**4 wrt f?
312*f
Let n(q) = q**3 + q**2 - q - 1. Let z = -336 - -331. Let v(o) = 107*o**3 + 5*o**2 - 7*o - 107. Let m(t) = z*n(t) + v(t). Differentiate m(c) wrt c.
306*c**2 - 2
Let n(o) = 72*o**2 + 6*o - 6. Let w be n(-5). Suppose 0 = -5*b + 4756 + w. What is the third derivative of 12*i**5 + b*i**4 - 1304*i**4 + 13*i**2 wrt i?
720*i**2
Let k(z) be the third derivative of 0*z + 22/3*z**3 + 0*z**6 + 0 - 112*z**2 + 0*z**4 - 7/4*z**5 - 1/105*z**7. What is the first derivative of k(i) wrt i?
-8*i**3 - 210*i
What is the third derivative of 911128 + 6*c**6 + c**4 - 911127 + 142*c**2 + 501*c**2 wrt c?
720*c**3 + 24*c
Suppose 0 = -4*o + 6 + 14. Let v be 17/o + (-4)/(-10)*-1. What is the second derivative of 98*q**3 - 47*q**v - 12*q**4 - 12*q - 51*q**3 wrt q?
-144*q**2
Let d = -5828 - -5831. Let i(q) be the third derivative of -11/24*q**4 + 11/60*q**5 - 9*q**2 + 0*q**d + 0 + 0*q. Find the second derivative of i(f) wrt f.
22
Let u(q) = 678*q - 1356. Let w be u(2). Let r(f) be the first derivative of 9/4*f**4 + 26*f - 9 + w*f**3 + 0*f**2. Find the first derivative of r(m) wrt m.
27*m**2
Find the third derivative of -618*h**2 - 5046*h**3 + 4017*h**2 - 1542*h**3 wrt h.
-39528
Let s = 184 - 183. Let i(m) = -5*m**2 - 55*m - 65. Let r(o) = o**2 + o. Let a(g) = s*i(g) + 4*r(g). What is the first derivative of a(u) wrt u?
-2*u - 51
Suppose -42 + 30 = -2*u. Let z(h) = -10*h - 86. Let f(c) = 9*c + 87. Let y(p) = u*z(p) + 7*f(p). Differentiate y(m) wrt m.
3
Let z(n) be the second derivative of 1/6*n**4 - 77/3*n**3 - 51/20*n**5 + 0 - 163*n + 0*n**2. What is the second derivative of z(j) wrt j?
-306*j + 4
Let x(i) be the third derivative of -191*i**5/60 + i**4/24 + 131*i**3/6 + 9*i**2 + 13. What is the second derivative of x(y) wrt y?
-382
Let b = 2 + 9. Let f(d) = 4*d**2 + 23*d - 1. Let p be f(-6). Find the second derivative of -82*x - 38*x**p + b*x**5 + 47*x wrt x.
-540*x**3
Let l(f) be the first derivative of 675*f**2/2 + 1054*f + 1226. What is the derivative of l(k) wrt k?
675
Let r(a) = -16*a - 3. Let b(v) = 2*v - 2 - v + 1. Let u be -1*(7 + -8 + 6). Let q(d) = u*b(d) - r(d). Find the first derivative of q(x) wrt x.
11
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