ive of -6*y**2 - 4*y**2 - 26*y**2 + 2*y - 20 - 27*y**2 wrt y?
-126
Let h(m) be the first derivative of 4*m**3 + 8*m**2 - 3*m - 32. Let k(f) = f - 1. Let y(n) = h(n) - 6*k(n). What is the second derivative of y(i) wrt i?
24
Let w(v) = 5*v**2 + 9*v + 11. Let l be w(-2). Differentiate -l*h**4 + 527 - 528 - 32*h**4 with respect to h.
-180*h**3
Let k(i) = -11*i + 15. Let l(n) = -17*n + 23. Let c = -59 + 54. Let h be ((-12)/15)/(3/(-30)). Let p(f) = c*l(f) + h*k(f). Differentiate p(u) wrt u.
-3
What is the third derivative of -28*u**6 + 284*u**2 - 308*u**2 - 67*u**6 wrt u?
-11400*u**3
Let u(p) be the second derivative of -3*p**3/2 - 5*p**2/2 + 30*p. Let f(k) = -k + 2*k + 0*k. Let y(s) = 2*f(s) + u(s). Find the first derivative of y(j) wrt j.
-7
Let w(p) be the first derivative of -113*p**5/5 - 3*p**4/4 + 27*p**3 + 3*p**2/2 - 100. Find the third derivative of w(x) wrt x.
-2712*x - 18
Let o(q) = -q**3 + q**2 - q - 2. Let p(v) = 472*v**3 - 3*v**2 + v + 8. Let w(t) = -4*o(t) - p(t). Find the third derivative of w(s) wrt s.
-2808
Let n(x) be the second derivative of x + 0 - 7/30*x**6 - 3*x**2 + 0*x**4 + 0*x**5 + 0*x**3. Differentiate n(b) with respect to b.
-28*b**3
Let u be 4*(-9)/12*(-1)/6. Let r(x) be the first derivative of u*x**2 + 0*x**4 + 0*x + 0*x**3 - 1 - 2/5*x**5. Find the second derivative of r(k) wrt k.
-24*k**2
Let h(k) be the first derivative of 3*k**6/10 + 5*k**3/6 - 41*k - 35. Let r(w) be the first derivative of h(w). Find the second derivative of r(c) wrt c.
108*c**2
Find the third derivative of -3996*s**5 + 3966*s**5 + 8*s**2 + 6*s**4 - 497*s - 12*s**2 + 6*s**2 wrt s.
-1800*s**2 + 144*s
Let h be (-288)/12*1/(-2). Let v be h/(-10)*15/(-6). What is the second derivative of -5*g**v + g - 6*g - 3*g wrt g?
-30*g
Let j(r) = 4*r - 18. Let i(w) = -9*w + 35. Let x be ((-11)/44)/((-2)/24). Let n(p) = x*i(p) + 5*j(p). Differentiate n(m) wrt m.
-7
Let z = -32 - -37. What is the third derivative of j**5 + 10*j**2 + 5*j**z + 8*j**5 wrt j?
840*j**2
Let s(w) = -1375*w**2 - 22*w + 2212. Let j(g) = -275*g**2 - 4*g + 442. Let p(v) = 11*j(v) - 2*s(v). Differentiate p(k) with respect to k.
-550*k
Suppose 0 = -7*u - 8*u + 420. Find the first derivative of -10 - 38 + 1 - u*o**4 wrt o.
-112*o**3
Let f be ((-7)/(-5))/(3/45). What is the second derivative of f*v + 2*v**2 - 4*v + 27*v**2 - v**2 wrt v?
56
Let c(u) = u**3 - 2*u + 3. Let o be c(2). Find the second derivative of o*r**4 - 29*r - 2*r**5 - 7*r**4 - 13*r**5 wrt r.
-300*r**3
Suppose 3*z - 14 = -u, -5*z = 3*u - 3*z - 28. Suppose -u*r + 5*r = -24. What is the second derivative of -2*y**4 + r*y**4 + 5*y**4 - y + 0*y wrt y?
132*y**2
Suppose 3*i - 18 = -l - 2*i, -2*i = 5*l - 21. Suppose l = o - 1. Differentiate -4 + 2 - o + 5 - v**4 wrt v.
-4*v**3
Let w = -1 - -3. Suppose 3*j - 25 = -c, -5*c - w*j + 86 = -91. What is the first derivative of -c*y**3 + 37*y**3 + 2*y**4 + 6 wrt y?
8*y**3
Let p(s) be the first derivative of -13*s**6/60 + 10*s**3/3 - s**2/2 + 15*s - 57. Let o(w) be the second derivative of p(w). Differentiate o(r) wrt r.
-78*r**2
Let b = -39 - -43. What is the third derivative of -24*t**2 + 10*t**4 - 27*t**b + 20*t**4 wrt t?
72*t
Let r(d) = 1140*d - 1936. Let a(p) = 380*p - 644. Let i(s) = 8*a(s) - 3*r(s). What is the first derivative of i(g) wrt g?
-380
Let a(b) = -17*b**3 + 7*b**2 + 4*b - 112. Let f(l) = -33*l**3 + 13*l**2 + 7*l - 224. Let t(z) = 7*a(z) - 4*f(z). What is the first derivative of t(i) wrt i?
39*i**2 - 6*i
Differentiate l - 874 + 3084*l**3 - 3084*l**3 - 479*l**4 with respect to l.
-1916*l**3 + 1
Let d(z) be the first derivative of 2*z**5 - 10*z**3 - 158*z**2 + 158*z**2 - 5. What is the third derivative of d(t) wrt t?
240*t
Let m(u) be the first derivative of -136*u**7/7 - u**4/2 + 66*u**3 + 22. What is the third derivative of m(v) wrt v?
-16320*v**3 - 12
Suppose -2*f + f = 0. Let k = f - 0. Find the third derivative of k*v**2 - 4*v**2 + 0*v + 3*v**3 + 0*v wrt v.
18
Let f(g) be the first derivative of -8*g**5/5 + 3*g**4/4 - g**3/3 + 27*g**2/2 - 187. Find the third derivative of f(c) wrt c.
-192*c + 18
Let o(v) = 194*v**5 - 7*v**4 + 14*v - 3. Let h(c) = 195*c**5 - 6*c**4 + 13*c - 3. Let a(i) = 7*h(i) - 6*o(i). What is the second derivative of a(r) wrt r?
4020*r**3
Let p(d) be the first derivative of -27 + 8*d + 3*d + 0*d**3 + 38 + d**3. What is the first derivative of p(i) wrt i?
6*i
Let n(w) be the third derivative of w**6/60 + 3*w**5/20 - 43*w**4/6 + 198*w**2. What is the second derivative of n(p) wrt p?
12*p + 18
Let d(k) = -k**3 - 3*k**2 - 4*k - 7. Let c be d(-3). Find the third derivative of -1315*g + c*g**2 + 1315*g + 5*g**4 wrt g.
120*g
Let s(c) be the first derivative of -8*c**4 + c**3 - 7*c - 26. Find the third derivative of s(y) wrt y.
-192
Suppose 7*y = -8*y. Let x(k) be the second derivative of 0*k**4 + 0*k**5 - 1/10*k**6 + 6*k - 1/3*k**3 + 0*k**2 + y. What is the second derivative of x(w) wrt w?
-36*w**2
Let o(r) be the first derivative of 7*r**4/4 + r**2/2 - 305*r - 838. Differentiate o(a) wrt a.
21*a**2 + 1
Find the third derivative of 276*o**3 - 789*o**3 - 243*o - 182*o**2 + 243*o wrt o.
-3078
Let p(o) be the second derivative of -31*o**4/3 - 187*o**3/6 - 126*o + 1. What is the second derivative of p(s) wrt s?
-248
Suppose g = t - 34, -5*t + 0*t + g + 190 = 0. What is the third derivative of 126*m**2 - t*m**2 - 43*m**2 - 46*m**2 - 28*m**3 wrt m?
-168
Let z be 0 - 62/(-6) - 6/(-9). What is the second derivative of 22*r**3 + 41*r**3 - z*r**3 + 12*r wrt r?
312*r
Let o(h) = -81*h**3 - 109*h**2 - 4*h + 8. Let q(v) = -v**2 + v - 2. Let k(w) = -o(w) - 4*q(w). What is the third derivative of k(c) wrt c?
486
Let y(a) be the first derivative of a**7 + 5*a**4/4 - 109*a**3/3 - 2. What is the third derivative of y(t) wrt t?
840*t**3 + 30
Let j(o) = -54*o**3 + 8*o**2 + 6*o + 6. Let i(v) = 108*v**3 - 16*v**2 - 13*v - 13. Let s(u) = -6*i(u) - 13*j(u). What is the third derivative of s(a) wrt a?
324
Let o(b) be the first derivative of 23 + 32/3*b**3 + 0*b**5 + 17/7*b**7 + 0*b**6 + 0*b**4 + 0*b + 0*b**2. Find the third derivative of o(x) wrt x.
2040*x**3
Let m = -37 + 35. Let b be 2*6/(-8)*m. Find the third derivative of 47*l**2 + 3*l**3 + 3*l**b + l**3 - 56*l**2 wrt l.
42
Suppose x - 1 + 9 = 4*j, -10 = -5*j - 3*x. Suppose -k + 2*k - 5*q = -13, -2*k + 2*q = j. Find the third derivative of 2*r**4 + 0*r**4 - 50*r**k + 45*r**2 wrt r.
48*r
Let n(x) be the second derivative of 0 + 0*x**4 - 1/5*x**5 + 8*x - 5*x**2 - 3/2*x**3. Let m(f) be the first derivative of n(f). Differentiate m(g) wrt g.
-24*g
Let f(p) be the third derivative of 33*p**2 - 7/120*p**6 + 0*p**3 + 0*p**4 + 0 + 0*p - 2/3*p**5. What is the third derivative of f(d) wrt d?
-42
Let a(j) be the second derivative of -3*j + 0 + 0*j**4 - 13/6*j**3 + 1/2*j**5 + 0*j**2. What is the second derivative of a(q) wrt q?
60*q
Suppose 2*f - 18 = -f. What is the third derivative of -5*d**6 + 4*d**f + 2*d**2 + 5*d**6 wrt d?
480*d**3
Let p be 8/1 + (2 - 3). What is the derivative of -6*u - 16 - p*u + 2*u - 3*u wrt u?
-14
Let w(x) = -39*x + 72. Let m(a) = 545*a - 1010. Let k(l) = -4*m(l) - 55*w(l). What is the first derivative of k(d) wrt d?
-35
Suppose 0*p - 5*p = 0. Let d be (-2)/2*-2 - p. What is the second derivative of -2*s**d + 8*s**2 + s - 4*s wrt s?
12
Differentiate -120*d**2 + 28 + 15*d + 2*d - 11*d**2 - 17*d with respect to d.
-262*d
Let b(k) be the third derivative of -43*k**9/504 + k**7/105 - 11*k**5/60 + 10*k**2 - 4*k. What is the third derivative of b(s) wrt s?
-5160*s**3 + 48*s
Find the second derivative of 246 - 373*j**4 + 202*j + 248 + 49*j - 494 wrt j.
-4476*j**2
Find the second derivative of 5*a**2 + 19*a**3 - 88*a + 12*a**3 - 42*a**3 wrt a.
-66*a + 10
Let g(t) = 21*t**3 + 8*t + 4. Let u(b) = b**3 + 1. Let a(j) = -g(j) + 5*u(j). What is the second derivative of a(p) wrt p?
-96*p
What is the first derivative of -111*u**4 + 43*u**4 - 112*u**4 + 214 wrt u?
-720*u**3
Let s(o) be the first derivative of -41*o**5/5 + 61*o**2/2 + o + 21. Find the second derivative of s(t) wrt t.
-492*t**2
Let h(j) be the third derivative of j**9/84 + 7*j**6/30 + 19*j**5/10 - 7*j**2 + 19*j. What is the third derivative of h(g) wrt g?
720*g**3 + 168
Find the third derivative of -2*o**2 - 29 - 498*o**5 + 3*o**2 + 420*o**5 wrt o.
-4680*o**2
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