e the third derivative of 127*y**4/24 + 21*y**3/2 + 58*y**2. Differentiate k(s) with respect to s.
127
Let l(u) be the second derivative of -4*u**3/3 + 37*u**2 + 3*u. Find the first derivative of l(p) wrt p.
-8
Differentiate -8*b**2 - 489 + b - b - 21*b**2 + 9*b + 42 with respect to b.
-58*b + 9
Let w(j) = 151*j**3 + 11*j - 5. Let y(v) = -151*v**3 - 10*v + 4. Let r(s) = 3*w(s) + 4*y(s). Find the second derivative of r(z) wrt z.
-906*z
Let x be 4 - 6 - (1 - 5). Suppose 4*o = 4*u, 0 = x*u - 2*o - o + 2. What is the first derivative of -2*b + 7 + u - 2 + 1 wrt b?
-2
Let u(t) = -51*t**3 + 4*t + 50. Let q(d) = -d - 1. Let n(c) = 4*q(c) + u(c). Let p(i) = i**3 - 1. Let a(b) = n(b) - p(b). Differentiate a(z) with respect to z.
-156*z**2
Let i be (4/6)/(-1*(-3)/9). Let y(z) be the second derivative of -z - 1/10*z**5 + 0 + 0*z**4 - z**i + 0*z**3. Find the first derivative of y(p) wrt p.
-6*p**2
Let o(g) = 12*g**4 - 6*g**3 - 7*g**2 - 6*g - 160. Let y(t) = t**3 + t**2 + t - 1. Let l(b) = -o(b) - 6*y(b). Differentiate l(r) with respect to r.
-48*r**3 + 2*r
Let s(d) = -3*d - 6. Suppose -l = l + 6. Let f be s(l). What is the third derivative of -2*z**3 - 28 + 28 + 3*z**2 + 4*z**f wrt z?
12
Let t(q) = 4*q + 4 + q**2 - 2 - 3*q. Let c(n) = 25*n**2 - 3*n - 17. Let d(l) = c(l) + 4*t(l). What is the second derivative of d(m) wrt m?
58
Let o(n) be the first derivative of -38/5*n**5 + 0*n**4 - 28/3*n**3 + 0*n + 0*n**2 + 4. What is the third derivative of o(r) wrt r?
-912*r
Let i(w) = -46*w - 37. Let h(t) = 45*t + 39. Let z(k) = 1. Let g(c) = -h(c) + 3*z(c). Let r(y) = -4*g(y) + 5*i(y). Differentiate r(u) with respect to u.
-50
Let l(k) be the second derivative of 3*k**8/28 + 43*k**5/20 - 37*k**4 + 48*k + 5. What is the third derivative of l(m) wrt m?
720*m**3 + 258
Suppose -4*f = -20, -3 = 3*p + 3*f - 27. Suppose 0 = -0*o + p*o. What is the second derivative of -3*h**5 + o*h**5 + 5*h**5 - 3*h wrt h?
40*h**3
Let b(k) = k**3 + k**2. Let a = 0 + -1. Let d(g) = 28*g**4 - g**3 - 6*g**2. Let h(x) = a*d(x) - b(x). What is the third derivative of h(v) wrt v?
-672*v
Let r(y) be the third derivative of -589*y**8/336 - 127*y**5/60 - 22*y**2 - 2*y. What is the third derivative of r(d) wrt d?
-35340*d**2
Let n(w) be the second derivative of -41*w**8/56 - 233*w**4/12 - 94*w. Find the third derivative of n(h) wrt h.
-4920*h**3
Let q(y) be the first derivative of -235*y**2/2 - 617*y - 849. Differentiate q(v) with respect to v.
-235
Let w(a) be the first derivative of 0*a + 0*a**3 + 41/2*a**2 + 28 - 31/4*a**4. Find the second derivative of w(g) wrt g.
-186*g
Let y(m) = 40*m**6 - 3*m**5 + 6*m**3 - 2*m**2 - 12*m - 45. Let p(n) = -n**6 - n**3 + 2*n + 1. Let q(c) = 6*p(c) + y(c). Find the third derivative of q(r) wrt r.
4080*r**3 - 180*r**2
What is the third derivative of -39*q**4 + 83*q**2 - 168*q**4 - 256*q**4 wrt q?
-11112*q
Let j(p) be the second derivative of p**9/252 + p**6/60 - p**3/3 + 13*p. Let y(l) be the second derivative of j(l). Find the third derivative of y(a) wrt a.
720*a**2
Let i(m) = -m**3 - 6*m**2 + 5*m - 10. Let a be i(-7). Suppose a*q + 8 = 6*q. Find the second derivative of 2*j**2 + 0*j**2 + 6*j**q - j - 2*j**2 wrt j.
72*j**2
Suppose 25 = 4*f + 5*z - 16, 5*z = 3*f + 13. Suppose -2*q - 2*p = -10 + f, 2*p + 6 = q. Find the first derivative of -8*v**2 + 11*v**2 - q*v**2 + 13 wrt v.
-2*v
Let v(z) = -161*z**3 + 8*z - 3. Let k(r) = -r**3 + 2*r. Let a(m) = -4*k(m) + v(m). Differentiate a(w) with respect to w.
-471*w**2
Let y(k) be the first derivative of 0*k - 5/2*k**4 + 2 + 0*k**2 + 10/3*k**3. Find the third derivative of y(a) wrt a.
-60
Suppose 5*d - 2*v - 16 = 12, 0 = 3*d - 2*v - 16. Find the third derivative of -d*y**2 + 2*y**5 - 15*y**5 + 7*y**5 wrt y.
-360*y**2
Suppose 0 = -3*r + 3*y - 8*y + 104, -72 = -2*r - 4*y. Find the third derivative of -3 + 3 + r*n**2 - 52*n**4 + 50*n**4 wrt n.
-48*n
Let m(n) = 283*n**2 + 132*n. Let r(h) = -424*h**2 - 197*h. Let x(q) = 8*m(q) + 5*r(q). Find the second derivative of x(z) wrt z.
288
Let h(l) = 2*l**2 - 180. Let q(m) = -4*m**2 + 364. Let a(b) = -13*h(b) - 6*q(b). What is the first derivative of a(z) wrt z?
-4*z
Let s(o) = o**2 - 2*o**2 - 6 - 13*o + 2*o + 8. Let y be s(-11). What is the second derivative of 12*r - 9*r - 2*r**2 + 6*r**y - 3*r**2 wrt r?
2
What is the third derivative of 40*o**4 + 71*o**2 - 38*o**4 - 3*o**3 + o**2 + 6*o**2 wrt o?
48*o - 18
Let n(f) = 9*f**3 - f**2 - 105*f + 3. Let k(q) = 11*q**3 - q**2 - 106*q + 4. Let t(p) = 3*k(p) - 4*n(p). Find the second derivative of t(y) wrt y.
-18*y + 2
Let z = 70 - -14. Find the third derivative of -z*h**5 + 69*h**5 + 5*h**2 - 26*h**2 wrt h.
-900*h**2
Let k(c) = 11*c + 86. Let h(p) = -p - 1. Let i(z) = -2*h(z) + k(z). What is the derivative of i(a) wrt a?
13
Let w(j) be the first derivative of -23*j**7/42 + 7*j**3/3 - 19*j + 2. Let z(l) be the first derivative of w(l). What is the second derivative of z(d) wrt d?
-460*d**3
Let k(b) be the third derivative of 11*b**2 + 0*b + 0*b**6 + 0*b**5 - 1/42*b**7 + 0*b**3 + 0 + 1/6*b**4. What is the second derivative of k(m) wrt m?
-60*m**2
Let y(u) be the first derivative of -2*u**5 + 3*u**4 - 194*u**2 + 57. What is the second derivative of y(n) wrt n?
-120*n**2 + 72*n
Find the first derivative of 46*m + 59*m + 65 - 139 - 112 wrt m.
105
Let d(n) be the first derivative of -n**6/36 - 11*n**4/24 - 2*n**3/3 + 9. Let a(v) be the third derivative of d(v). Differentiate a(u) wrt u.
-20*u
Let t(h) = -17*h + 11*h + 8*h**2 + 6*h + 9. Let g(i) = -23*i**2 - 27. Let r(x) = 6*g(x) + 17*t(x). Find the first derivative of r(k) wrt k.
-4*k
Differentiate 39612*a**2 - 39612*a**2 + 80*a**4 - 143 wrt a.
320*a**3
Let v(k) = k + 17. Let r be -15 - ((-9)/3 - 0). Let f be v(r). Find the third derivative of -16*x - f*x**2 + 16*x - x**3 wrt x.
-6
Let f(l) be the first derivative of l**6/30 + l**4/4 - 9*l - 7. Let k(r) be the first derivative of f(r). Find the third derivative of k(n) wrt n.
24*n
Let y be ((-5)/3 + 2)/(20/30). Let v(d) be the first derivative of 0*d + y*d**2 + 2*d**3 + 5. What is the second derivative of v(u) wrt u?
12
Let h(p) = 3*p + 1. Let i be h(-1). Let y(r) = 2*r**2 + 4*r + 3. Let k be y(i). Find the second derivative of 0*o**2 + 6*o**3 + 2*o + 0*o**2 - 10*o**k wrt o.
-24*o
Let q(h) be the first derivative of -158*h**5/5 + 133*h - 92. What is the first derivative of q(o) wrt o?
-632*o**3
What is the second derivative of -31*x + 32*x**2 - 84*x + 19*x wrt x?
64
Let r = -2/429 + 1291/858. Let o(d) be the first derivative of 0*d + 0*d**5 + 5/6*d**6 - 5 + r*d**2 + 0*d**3 + 0*d**4. Find the second derivative of o(n) wrt n.
100*n**3
Let q(t) be the second derivative of -t**7 + 31*t**3 + 4*t. Find the second derivative of q(c) wrt c.
-840*c**3
Let h(u) be the second derivative of 83*u**6/10 + 61*u**4/12 + 31*u + 3. Find the third derivative of h(c) wrt c.
5976*c
Let o(f) be the first derivative of 4*f**5/5 + 23*f**4/12 + 25*f + 44. Let z(d) be the first derivative of o(d). Find the third derivative of z(a) wrt a.
96
Let g(m) = 311*m + 417. Let n(d) = -622*d - 835. Let f(z) = 5*g(z) + 2*n(z). Differentiate f(y) wrt y.
311
Suppose -12*h + 180 = 3*h. Let b(s) be the second derivative of 0 - 7/12*s**4 + 0*s**2 - 9/20*s**5 + h*s + 0*s**3. Find the third derivative of b(o) wrt o.
-54
What is the derivative of 382 + 2174*y - 1070*y - 1021*y wrt y?
83
Let g(f) be the second derivative of -11*f**5/2 - 145*f**4/6 + 2*f - 13. What is the third derivative of g(n) wrt n?
-660
Let p(g) = g**3 - 16*g**2 - 16. Let a be p(16). Let x = -9 - a. Find the third derivative of 1 - x*y**3 - 3*y**2 + 8*y**3 - 1 wrt y.
6
Let d(f) be the third derivative of 0*f + 0 + 4*f**2 - 1/6*f**3. Let i(x) = -x**2 - 1. Let m(o) = 6*d(o) - 7*i(o). What is the derivative of m(c) wrt c?
14*c
Let a be ((-18)/4 - -2)*12/(-10). What is the third derivative of -z**a + 6*z**2 - 5*z**3 - 4*z**3 wrt z?
-60
Let j(y) be the second derivative of 91*y**6/30 + 188*y**2 + 659*y. Differentiate j(t) with respect to t.
364*t**3
Let t(f) = 20*f**2 - 17*f + 57. Suppose 2*q - 4 = 8. Let i(o) = 7*o**2 - 6*o + 19. Let g(s) = q*t(s) - 17*i(s). Differentiate g(y) with respect to y.
2*y
Let i = 31 + -22. Let c be (3 + -11)*1/(-2). Find the second derivative of 9*m**3 + i*m**3 - 13*m**3 + c*m wrt m.
30*m
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