t derivative of x(y) wrt y.
116
Let j(t) = -t**2 + 5*t - 2. Let y be j(4). Suppose -y*g + 4 = -0*g. What is the second derivative of -5*n**5 + 36*n**3 - g*n - 36*n**3 wrt n?
-100*n**3
Suppose 0 = -2*f + 2*a + 4 + 8, -46 = -5*f - 3*a. What is the third derivative of -9*l**2 - f*l**5 + 10*l**5 - 8*l**5 - 5*l**5 wrt l?
-660*l**2
Suppose -3*o = 3*z - 7*o - 23, -4*o - 28 = -4*z. What is the third derivative of z*x**2 - 418*x + 19*x**3 + 28*x**3 + 418*x wrt x?
282
Let a(c) = c**3 + 2*c**2 - c + 2. Let d be a(-2). What is the second derivative of 2*m**2 - d*m + m**2 + 2*m**2 wrt m?
10
Let b(l) = 5*l + 14 + 5*l + 1. Let w(j) = 7*j + 10. Let g be (2 - -5)*2/2. Let u(d) = g*w(d) - 5*b(d). Differentiate u(n) with respect to n.
-1
Find the second derivative of 11 + 114*t**4 + 34*t**3 - 13 - 63*t**3 - 41*t + 29*t**3 wrt t.
1368*t**2
Let o be 3/2*(52/3)/2. What is the first derivative of 2 + 8*j**2 - 31*j**2 + o wrt j?
-46*j
Let a(w) be the first derivative of 3/20*w**5 + 0*w**3 + 4 + w**2 + w + 0*w**4. Let g(k) be the first derivative of a(k). Differentiate g(i) wrt i.
9*i**2
Let d(j) be the first derivative of 79*j**6/6 - 2*j**3/3 + 5*j**2 + 26. Find the third derivative of d(t) wrt t.
4740*t**2
Let r(z) be the third derivative of -311*z**8/336 - 47*z**4/24 + 129*z**2. Find the second derivative of r(m) wrt m.
-6220*m**3
Let z(a) = 846*a**4 - 7*a**3 + 7*a**2 + 7*a + 1642. Let r(j) = 282*j**4 - 2*j**3 + 2*j**2 + 2*j + 547. Let c(g) = 7*r(g) - 2*z(g). Differentiate c(f) wrt f.
1128*f**3
Let d(x) be the second derivative of 2*x**7/7 - 137*x**3/6 - 16*x + 1. What is the second derivative of d(z) wrt z?
240*z**3
Let x(f) be the first derivative of f**3/3 - 7*f**2/2 - 953*f + 386. Differentiate x(d) with respect to d.
2*d - 7
Suppose -q = 4*m + 12, 3*m - 129 = 4*q + q. Let f = -23 - q. What is the first derivative of -15*d**2 - 18*d**2 - f + 43*d**2 - 8 wrt d?
20*d
Suppose 4*z = -3*b + 17, 0 = -3*z + b - 2 + 5. Find the third derivative of -5*w**z - 3*w**3 + 10*w**3 + 0*w**2 - 4*w**2 wrt w.
42
Let v(j) = -217*j**3 - 28*j**2 - 476*j + 28. Let h(i) = -24*i**3 - 3*i**2 - 53*i + 3. Let a(p) = 28*h(p) - 3*v(p). What is the second derivative of a(u) wrt u?
-126*u
Suppose 3 = -3*r + 9. Suppose 5*w = -5*y + r*y + 20, w = 5*y + 4. What is the derivative of -2*a**3 + 3 - w - 3*a**3 wrt a?
-15*a**2
Let w(t) be the second derivative of 0*t**2 + 16*t + 0*t**3 - 2/7*t**7 - 7/4*t**4 + 0*t**5 + 0 + 0*t**6. Find the third derivative of w(c) wrt c.
-720*c**2
Let s(n) = -2*n**2 - 3*n + 6. Let j(p) = -3 - 2 + 10 + 0 - 2*p**2 - 2*p. Let x(o) = 3*j(o) - 2*s(o). What is the first derivative of x(q) wrt q?
-4*q
Suppose 4*y + 2*w - 18 = 0, w = -4*y + 2*w + 9. Differentiate -y*m**3 - 3*m**3 - m**3 + 6 - m**3 wrt m.
-24*m**2
Let n(l) be the first derivative of -7 + 5/2*l**2 - 17/3*l**3 + 0*l. What is the second derivative of n(d) wrt d?
-34
Let b(d) be the first derivative of -3*d**5/20 - 14*d**3/3 - 31*d - 43. Let i(y) be the first derivative of b(y). Find the second derivative of i(u) wrt u.
-18*u
Let u be -5*(-1 + (2 - 2)). Suppose 5 + 5 = 2*y. Find the second derivative of 19*p**5 - 6*p**y + p**u + 6*p wrt p.
280*p**3
Suppose 0 = 2*l + z, -39*l + 43*l = -z. Let i(o) be the first derivative of 0*o**3 + 1 + l*o - 7/2*o**2 - 3/2*o**4. Find the second derivative of i(b) wrt b.
-36*b
Let l(h) = 3*h - 6. Let k be l(3). Find the third derivative of 126*g - 3*g**2 - 65*g - 15*g**k - 64*g wrt g.
-90
Let n(d) = 23*d**2 - 4*d - 33. Let x(q) = -q**2 + q + 1. Suppose 15 - 14 = z. Let j(o) = z*n(o) + 4*x(o). Differentiate j(a) wrt a.
38*a
Suppose -c - 3*c = -12. Let k = 0 + c. What is the derivative of -7 - 8*q**4 - 3 + k wrt q?
-32*q**3
Let a = 529 + -529. Let m(h) be the second derivative of -9*h + 0 - 1/3*h**4 + 0*h**5 + 0*h**2 + 1/6*h**6 + a*h**3. What is the third derivative of m(p) wrt p?
120*p
Let f be 70/(-4)*(-1 - (-65)/(-35)). What is the derivative of 206 - 231 + 18*n - f*n wrt n?
-32
Let x(w) be the first derivative of 2*w**5/15 - 2*w**3/3 - 4*w**2 + 6. Let s(k) be the second derivative of x(k). What is the first derivative of s(g) wrt g?
16*g
Let y(b) be the second derivative of 52*b**5/5 - 7*b**4/12 + 6*b**2 + 195*b. What is the third derivative of y(l) wrt l?
1248
Let w(y) be the third derivative of 107*y**5/30 - 187*y**3/6 + 46*y**2. Differentiate w(m) with respect to m.
428*m
Differentiate 5*z + 52 + 384*z**2 - 656 - 5*z + 120*z**2 wrt z.
1008*z
What is the second derivative of 370*t**2 + 130*t + 6*t + 8*t**5 - 370*t**2 wrt t?
160*t**3
Let h(f) be the second derivative of -14*f + 0*f**2 + 5/6*f**3 + 0 - 3/5*f**5 + 0*f**4. What is the second derivative of h(p) wrt p?
-72*p
Let t(p) = -38*p + 1. Let w be t(-1). Find the third derivative of -20*v**5 + w*v**4 + 5*v**2 - 39*v**4 wrt v.
-1200*v**2
Find the second derivative of 6542*k**3 - 3*k**2 - 3253*k**3 - k - 3264*k**3 - 179 wrt k.
150*k - 6
Let q(w) be the third derivative of 5*w**8/28 - w**7/210 - w**4/3 - 19*w**3/2 - 534*w**2. Find the second derivative of q(s) wrt s.
1200*s**3 - 12*s**2
Find the first derivative of 77 + w + 2869*w**3 + 262 + 72 - 2965*w**3 + 0*w wrt w.
-288*w**2 + 1
Let w(j) be the third derivative of -j**7/210 + 67*j**6/40 - 103*j**4/24 + 238*j**2. Find the second derivative of w(u) wrt u.
-12*u**2 + 1206*u
Let z be (-5)/((-30)/(-4))*-69. Let g = z - 26. What is the first derivative of 4*p**2 - g + 0*p**2 + 18 wrt p?
8*p
Suppose -5*k - 5*c = -0*c - 100, 15 = 2*k - 3*c. Differentiate 0 + k*m + 2*m + 14 wrt m.
17
Find the second derivative of 38*r**4 + 79 - 76 - 2*r - 2*r**2 + r wrt r.
456*r**2 - 4
Let x(t) be the third derivative of t**7/210 - t**6/24 + t**3/3 + 2*t**2 + 66. Find the first derivative of x(c) wrt c.
4*c**3 - 15*c**2
Let k = 2497 - 2494. Let a(r) be the first derivative of 0*r - 13/6*r**6 - 4*r**k - 12 + 0*r**2 + 0*r**5 + 0*r**4. What is the third derivative of a(d) wrt d?
-780*d**2
Let v(r) be the third derivative of -r**7/105 + 11*r**6/60 - 8*r**3/3 - 3*r**2 - 2. What is the first derivative of v(a) wrt a?
-8*a**3 + 66*a**2
Let o(y) be the first derivative of 2*y**7/35 + 19*y**5/60 + 7*y**2 + 8. Let f(u) be the second derivative of o(u). Find the third derivative of f(t) wrt t.
288*t
Find the second derivative of 34*b - 2*b**2 - 32*b**5 + 2*b**2 + 4*b**5 wrt b.
-560*b**3
Let q(a) be the third derivative of a**5/60 + a**4/6 + a**3/3 - 4*a**2. Let z be q(-4). What is the third derivative of -x**4 - 5*x**2 + 0*x**4 + 2*x**z wrt x?
-24*x
Let z(u) = -u - 1. Let i be z(6). Let j = i - -32. Find the third derivative of -22*s**6 + 0*s**3 + 0*s**3 + 2*s**2 + j*s**6 wrt s.
360*s**3
Let n be (-34)/12 - 1/6. Let h(l) = -14*l**2 - 12*l. Let i(a) = 13*a**2 + 13*a. Let o(t) = n*i(t) - 4*h(t). Find the second derivative of o(f) wrt f.
34
Let o be (1 + 12)*1 - 1. What is the second derivative of -q + o*q**2 + 3*q - 2*q - 11*q wrt q?
24
Let q be 5*(162/(-30))/(-9). Let a(p) be the first derivative of 2/3*p**q + 0*p + 11/4*p**4 + 6 + 0*p**2. Find the third derivative of a(l) wrt l.
66
Let i be (-5)/(-3)*(-54)/(-30). What is the third derivative of -12*x**5 - 4*x**2 - 5*x**3 + 4*x**5 + 5*x**i wrt x?
-480*x**2
Let f(y) be the second derivative of -y**5/10 + y**4/12 - 5*y**3/6 - 13*y. Let w(r) be the second derivative of f(r). What is the derivative of w(p) wrt p?
-12
Let j(r) be the first derivative of 0*r**4 - 23 - 12/5*r**5 + 0*r**2 + 29/3*r**3 + 0*r. What is the third derivative of j(g) wrt g?
-288*g
Find the third derivative of 3*f**3 - 170*f**2 + 88*f**4 + 28*f**2 - 2*f**3 - 179*f**2 wrt f.
2112*f + 6
Let i(d) be the third derivative of -d**7/210 + 23*d**2. Let l(v) = -20*v**4 - 12*v. Let c(k) = 56*i(k) - 2*l(k). Find the second derivative of c(z) wrt z.
-192*z**2
Let j(p) = -5*p**2 + 11*p - 15. Let f(n) = -2*n**2 + 4*n - 5. Let r = -33 + 37. Let o(w) = r*j(w) - 11*f(w). What is the first derivative of o(z) wrt z?
4*z
Let f(s) be the first derivative of -94*s**5/5 - 87*s + 87. Find the first derivative of f(x) wrt x.
-376*x**3
Suppose -5*o - 31 = 5*g + 19, 4*o + 40 = 3*g. Let m = o - -18. What is the first derivative of -m*p**2 + 0 - 3 + 1 + 8 wrt p?
-16*p
Let y(u) = -343*u**3 - 417*u**2 + 17. Let c(k) = -115*k**3 - 139*k**2 + 6. Let g(t) = -17*c(t) + 6*y(t). Find the third derivative of g(o) wrt o.
-618
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