4). What is the second derivative of -5*v**2 + 45*v + 15*v**2 + 2*v**4 + s*v**2 wrt v?
24*v**2 + 20
Let t(f) be the third derivative of 0*f**6 + 0*f**7 + 3 + 0*f**4 - 157/60*f**5 + 0*f**3 + 0*f - 3/28*f**8 + 71*f**2. Find the third derivative of t(n) wrt n.
-2160*n**2
Suppose 0 = -11*g - 14 + 47. Differentiate -82*k + 2*k**2 + 42*k + 44 + 44*k + g*k**2 with respect to k.
10*k + 4
Let p be (-12)/(-30) + (-18)/(-5). What is the second derivative of 6*i**p - i**4 - i**3 - 3*i**4 - 17*i + 9*i wrt i?
24*i**2 - 6*i
Let z be -2 - (-3 + 3 + 0)/1. Let x be (8/10)/(z/(-5)). What is the second derivative of -d**5 + 9*d + 6*d**5 - x*d - 2*d wrt d?
100*d**3
Let p(h) = -h**4 + h**3 + 2*h - 2. Let l(x) = -76*x**4 + 9*x**3 - 932*x**2 + 6*x - 5. Let z(y) = l(y) - 3*p(y). Find the third derivative of z(d) wrt d.
-1752*d + 36
Let o(q) be the first derivative of 0*q**3 + 0*q**4 + 35 + 0*q**2 + 170*q - 248/5*q**5. What is the first derivative of o(g) wrt g?
-992*g**3
Let g(y) = 12413*y**3 - 14*y**2 + 3638*y + 2. Let q(b) = 6*b**2 + 3*b - 1. Let c(x) = -g(x) - 2*q(x). What is the third derivative of c(f) wrt f?
-74478
Let i(o) = 6*o**2 - 2. Let k(x) = -6114*x**2 + 6906. Let c(r) = 9*i(r) + k(r). Differentiate c(a) with respect to a.
-12120*a
Let b(y) = 3*y - 27. Let q = 13 + -3. Let s be b(q). Find the third derivative of -27 + 11*c**3 + 27 - 14*c**2 - c**s wrt c.
60
Let r(u) = 4202*u**2 + 965*u + 3. Let y(h) = 8403*h**2 + 1930*h + 7. Let t(b) = 7*r(b) - 3*y(b). Find the second derivative of t(o) wrt o.
8410
Let j(d) be the first derivative of -6*d**5/5 + 7*d**3/3 + 457*d**2/2 + 3*d + 2467. Find the second derivative of j(z) wrt z.
-72*z**2 + 14
Let c(f) = -1664*f**2 - 7*f - 1116. Let w(u) = 3327*u**2 + 15*u + 2244. Let n(p) = -17*c(p) - 8*w(p). What is the second derivative of n(i) wrt i?
3344
Let l(w) be the second derivative of -4*w**7/21 + 33*w**5/20 + 112*w**3/3 - 3*w**2/2 + 1054*w. What is the second derivative of l(j) wrt j?
-160*j**3 + 198*j
Let d(k) be the second derivative of 307*k**6/10 + k**5/20 - 781*k**3/3 - 2*k + 7. Find the second derivative of d(n) wrt n.
11052*n**2 + 6*n
Let a(h) be the second derivative of 0 + 0*h**5 + 0*h**6 - h**2 + 49/6*h**3 + 58*h - 43/21*h**7 + 0*h**4. What is the second derivative of a(c) wrt c?
-1720*c**3
Let n(f) be the third derivative of 302*f**6/15 + 1643*f**5/60 - f**3/3 - 2219*f**2. What is the third derivative of n(a) wrt a?
14496
Let n(y) be the second derivative of 433*y**4/12 - 61*y**3/6 - 3*y**2 + 110*y - 2. What is the second derivative of n(p) wrt p?
866
Let l(u) = -10*u**4 + 34*u**3 - 4*u**2 - 4*u + 54. Let i(t) = 2*t - 2. Let c(q) = 8*i(q) + l(q). What is the second derivative of c(m) wrt m?
-120*m**2 + 204*m - 8
Let z(o) be the second derivative of -1887*o**5/20 + 186*o**3 - 600*o. What is the second derivative of z(f) wrt f?
-11322*f
Let d(s) be the first derivative of -6136*s**7/7 + s**3/3 + 1895*s**2/2 - 4594. What is the third derivative of d(x) wrt x?
-736320*x**3
Let l = -36 + 36. Suppose -6*s + l*s + 72 = 0. What is the second derivative of -s*j - 2*j**3 - 7*j**3 + 11*j**3 wrt j?
12*j
Find the second derivative of 0*c**2 + 60*c + 3*c**2 + 204*c**4 - 83 + 41 + 0*c**2 + 46 wrt c.
2448*c**2 + 6
Let a be (2*2)/(((-30)/9)/(-5)). Find the third derivative of 16*m - 26*m - 6*m**2 + 11*m**2 + 5*m**2 - 176*m**a wrt m.
-21120*m**3
Let i(s) be the third derivative of -5*s**8/48 + 11*s**6/6 + 2119*s**4/8 + 1658*s**2. What is the second derivative of i(f) wrt f?
-700*f**3 + 1320*f
What is the second derivative of 114*r - 124*r + 1638*r**3 + 45 + 803*r**3 + 12 wrt r?
14646*r
Let u be (-10 - -2)/(-5 - -3). Suppose 0*t + u*f - 15 = -t, -15 = -5*f. Find the third derivative of -16*b**2 - 1211*b**3 + 19*b**4 + 1211*b**t wrt b.
456*b
Let d(z) = -17671*z + 6331. Let l(v) = 11764*v - 4221. Let x(a) = 5*d(a) + 8*l(a). Find the first derivative of x(u) wrt u.
5757
Suppose -25 = -2*t + 5*v, -33 = -5*t + 4*v - 13. What is the third derivative of -19*x**2 - 2*x - 4*x**2 - 24*x**2 - 69*x**3 + t*x**2 wrt x?
-414
Let n(k) = k - 3. Let f be n(6). What is the second derivative of -811 + 19*q**f + 42*q + 403 - 7*q**2 + 413 wrt q?
114*q - 14
Suppose 42*z = 27*z + 2100. Find the third derivative of z*y**5 - 5668*y**3 - 64*y**2 + 5668*y**3 wrt y.
8400*y**2
Let i(a) = -a**2 - a + 2. Let v be i(2). Let s(c) = c**3 + 4*c**2 - 2*c. Let z be s(v). Find the first derivative of 12 - 37*t**3 + 9 - 4 + z wrt t.
-111*t**2
Let y(o) be the first derivative of -703*o**3/3 + 1317*o**2 + 3346. What is the second derivative of y(n) wrt n?
-1406
Suppose -w - 5*z - 15 = -3*w, 3*w + 5*z + 15 = 0. Suppose 0*q + 4*q = w. What is the third derivative of q*r**2 + 4*r**5 - 9*r**5 - 7*r**2 wrt r?
-300*r**2
What is the third derivative of -311*k**6 - 385*k**2 - k - 8*k**5 + 483*k**6 - 355*k**6 wrt k?
-21960*k**3 - 480*k**2
Let w(q) be the first derivative of -19/3*q**6 + 0*q - 2 + 131/2*q**2 + 0*q**4 + 0*q**5 + 0*q**3. What is the second derivative of w(b) wrt b?
-760*b**3
Let v(q) be the first derivative of -61*q**6/15 + 146*q**2 - 201*q - 38. Let n(t) be the first derivative of v(t). What is the derivative of n(i) wrt i?
-488*i**3
Let l(h) be the second derivative of -1051*h**6/15 - 5*h**3/6 + 9*h**2 + 15*h - 70. What is the second derivative of l(s) wrt s?
-25224*s**2
Differentiate 481*c**2 - 10524 + 1419*c**2 + 8626 with respect to c.
3800*c
Let p(f) = 8664*f**3 + 3294*f**2 + 8*f. Let k(d) = -8665*d**3 - 3281*d**2 - 10*d. Let n(s) = -4*k(s) - 5*p(s). What is the third derivative of n(t) wrt t?
-51960
Suppose t = 2*t - 5*t. Differentiate t*i**4 + i**4 + 3 - 2*i**4 - 197*i + 226*i with respect to i.
-4*i**3 + 29
What is the second derivative of -965*d**4 + 3*d - d + 216 + 1304 - 2*d**2 + 1027*d**4 - d wrt d?
744*d**2 - 4
Let v(f) be the first derivative of 14*f**5/5 - 3*f**4/4 + f**3/3 - 611*f**2/2 - 2503. What is the third derivative of v(l) wrt l?
336*l - 18
Let k(v) = 2*v**2 - 3*v. Let h be k(-1). What is the third derivative of m**2 + 5*m + 15*m**3 - h*m + 0*m**2 wrt m?
90
Suppose -t = -0*t - 10. Let b be (((-330)/5)/(-6))/((-32)/(-96)). What is the first derivative of -51*o**2 - t - 1 + b*o**2 + 28*o**2 wrt o?
20*o
Let x be (-3159)/(-12) - (-2 + (-25)/(-20)). Find the second derivative of -78*n**3 - 146*n - 1 - 134*n + x*n wrt n.
-468*n
Let s(c) = -5*c - 35. Let j be s(-11). Find the third derivative of 6*z**2 - j*z**3 - 2 + 2 - 7*z**3 + 3*z wrt z.
-162
Let f(j) be the first derivative of -163*j**6/6 - 3*j**2/2 + 126*j - 172. Find the second derivative of f(o) wrt o.
-3260*o**3
Find the second derivative of -170*z**5 + 5052*z - 3557*z**5 - 1219*z**5 wrt z.
-98920*z**3
Let z(k) = -3*k + 4*k + 36*k**2 + 45 + k - 78. Let x(w) = -w. Let r(i) = 4*x(i) + z(i). What is the second derivative of r(g) wrt g?
72
What is the second derivative of 3667*q - 182*q**3 + 747*q - 354*q**2 - 2*q**5 + 349*q**2 wrt q?
-40*q**3 - 1092*q - 10
Suppose 4*g = 12, -3*d - 3*g = -g - 15. What is the second derivative of p**3 - 10*p**d - 5*p - 158*p**4 + 9*p**3 + 17*p wrt p?
-1896*p**2
Suppose -373 = -2*q - 365. Find the third derivative of -2*j**2 + 30*j**4 - 82*j**4 - 32*j**q - 1 - 2 wrt j.
-2016*j
Suppose 3*k - 12 + 0 = 0. What is the third derivative of -1 - k*t**4 + 12*t**4 - 28*t**2 + 17*t**2 + 2*t**6 wrt t?
240*t**3 + 192*t
Let f(p) be the second derivative of 102*p**6 - 427*p**2 - 6*p - 119. Differentiate f(b) with respect to b.
12240*b**3
Let x(y) be the second derivative of -y**6/30 + 1441*y**5/10 + 319*y**4/3 + 1018*y. Find the third derivative of x(t) wrt t.
-24*t + 17292
Let k(a) be the third derivative of 631*a**7/210 + a**5/20 - 715*a**3/6 + 4*a**2 - 2*a + 189. Differentiate k(b) wrt b.
2524*b**3 + 6*b
Let o(c) be the third derivative of -c**6/60 - c**5/12 + 7*c**4/24 - 1672*c**3/3 + 241*c**2 - 6. Differentiate o(x) with respect to x.
-6*x**2 - 10*x + 7
Let h = 4 + 22. Let l = 32 - h. Find the second derivative of 13*x**5 - 4*x**5 + l*x**5 + 9*x wrt x.
300*x**3
Let w = -31 + 27. Let n be 3 - ((-2 - w) + 1 + -3). What is the third derivative of -4*o**3 - 15*o**2 - 8*o**5 + 4*o**n + 20*o**5 wrt o?
720*o**2
Suppose -h + 310 = -6*h - 2*v, -2*h - 123 = v. Let n = h - -67. Find the third derivative of 102*m - 51*m - 51*m - n*m**5 + 7*m**2 wrt m.
-180*m**2
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