(c). Differentiate w(q) with respect to q.
20
Let i(g) be the second derivative of 13/21*g**7 + 1/5*g**5 + 0*g**6 - 15*g + 0 + 0*g**2 + 0*g**3 + 133/12*g**4. Find the third derivative of i(w) wrt w.
1560*w**2 + 24
Suppose -4*t = -t - 19*t. Let a(f) be the second derivative of 20*f + 0*f**3 - 5/4*f**4 + t - 9*f**2. Differentiate a(n) wrt n.
-30*n
Differentiate 913 + 6108*a**2 + 6098*a**2 - 11419*a**2 wrt a.
1574*a
Let v(y) = -y**2 - 8*y - 10. Let u be v(-5). Find the first derivative of 24 + 5 + 141*j - u + 64 wrt j.
141
Find the second derivative of 4417*h + 30*h**2 + 151*h**3 + 150*h**3 - 302*h**3 - 10*h**2 wrt h.
-6*h + 40
Let o(g) be the third derivative of g**9/252 - 449*g**8/168 - g**5/5 - 33*g**4/8 + 732*g**2. What is the third derivative of o(q) wrt q?
240*q**3 - 53880*q**2
Let k(t) be the second derivative of 556*t**3 + 1348*t**2 + 1866*t. Find the first derivative of k(y) wrt y.
3336
Let c be 5612/2*(-24)/48. Let r = c - -3746. Find the third derivative of r*k**2 - 2303*k**2 + 25*k**5 + k**6 + 8*k**5 wrt k.
120*k**3 + 1980*k**2
What is the second derivative of -7722*o - 152*o**3 + 1009 + 17*o**2 - 561 - 448 wrt o?
-912*o + 34
Suppose -12 = -5*q + a, -4*q - 3*a = -8*q + 3. What is the derivative of 64 + q*t**2 - 129 + 55 wrt t?
6*t
Let j = 1582 - 1580. Let m(b) be the third derivative of 0*b**3 - 1/15*b**5 + 7/8*b**4 + 12*b**j + 0 + 0*b. Find the second derivative of m(g) wrt g.
-8
Find the first derivative of -5130 - 7323 + 8307 + 1235*s wrt s.
1235
Let b(p) = -68*p**4 - p**3 - p**2 + p. Let l(n) = 6778*n**4 - 3*n**3 - 3*n**2 + 3*n + 4635. Let q(a) = -3*b(a) + l(a). What is the derivative of q(m) wrt m?
27928*m**3
Let z(o) = -8*o + 106. Let a be z(13). What is the second derivative of 26*p + 112*p**3 - 62*p - 80*p - 103*p**2 - 103*p**2 + 205*p**a wrt p?
672*p - 2
Differentiate 16*j**2 + 18*j**2 + 592 - 4*j**2 + j**4 + 10*j**2 with respect to j.
4*j**3 + 80*j
Let h(o) be the first derivative of 96*o**4 - 2761*o + 850. What is the derivative of h(z) wrt z?
1152*z**2
Let u(t) = t**3 - 31*t**2 - t - 1. Let z(l) = 1919*l**3 + 99*l**2 - l + 3. Let c(f) = -3*u(f) - z(f). What is the third derivative of c(a) wrt a?
-11532
Let x(l) be the second derivative of 0*l**5 + 0*l**4 + 0*l**2 + 2*l**6 + l + 2 + 5/3*l**3. Find the second derivative of x(j) wrt j.
720*j**2
Let q(a) = -4*a + 18. Let o be q(4). What is the second derivative of -67*r**o - 204*r + 170*r**2 + 82*r wrt r?
206
Suppose -7*v - v + 16 = 0. Suppose -v*f = -4*f + 3*c + 25, 2*f = 2*c + 20. What is the second derivative of f*j**3 - 11*j + 13*j**3 - 3*j wrt j?
108*j
Differentiate 543*s**2 - 292*s**2 + 9106*s**3 - 7106 - 251*s**2 wrt s.
27318*s**2
Let x(q) = -1819*q**2 + 96*q - 4632. Let f(m) = -3636*m**2 + 160*m - 9263. Let o(n) = 3*f(n) - 5*x(n). What is the first derivative of o(h) wrt h?
-3626*h
Let p(k) = 1421*k + 2583. Let x(n) = 34102*n + 61999. Let j(h) = -119*p(h) + 5*x(h). What is the first derivative of j(v) wrt v?
1411
Let c(l) be the second derivative of -219*l**5/10 + 1271*l**4/6 - 112*l - 10. What is the third derivative of c(s) wrt s?
-2628
Let j(o) = -3*o + 4. Let p be j(4). Let b be (p/(-6))/(2/3). What is the third derivative of -14*f**b + 280*f**6 + 3*f**2 - 274*f**6 wrt f?
720*f**3
Find the second derivative of -200*r + 83894*r**2 - 678*r - 84995*r**2 wrt r.
-2202
What is the third derivative of 2*c**2 + 49*c**4 - 35*c - 3*c**5 - 209682 + 209682 wrt c?
-180*c**2 + 1176*c
Let m(k) = -2*k**3 - 13*k**2 + 20*k - 26. Let a be m(-8). What is the second derivative of -2 + 7 + l**2 - 3 - 42*l + a*l**3 - 2 wrt l?
36*l + 2
Let w(o) = -2*o**2 - 10*o - 2. Let l(z) = 2404*z**2 + 1956*z + 5. Let c(n) = -l(n) - 2*w(n). Find the second derivative of c(j) wrt j.
-4800
Let o = 349 - 345. What is the second derivative of 82*c**5 + 3*c**o + 75*c**5 + 59*c - 122*c**5 wrt c?
700*c**3 + 36*c**2
What is the derivative of 449074 + 4*i**3 + 0*i**3 + 107*i**4 - 448030 + 0*i**3 - 2*i**3 wrt i?
428*i**3 + 6*i**2
Find the second derivative of -2964*a + 6279*a**4 - 3141*a**4 - 3138*a**4 - 3753*a - 2271*a**5 wrt a.
-45420*a**3
Let t be -13 + 3/2*-4 + 3. Let g be (3/4)/((-6)/t). What is the third derivative of -57*i**4 + 12*i**4 - 32*i**g + 5*i**2 wrt i?
-1080*i
Let u(z) = 181*z - 222. Let x(c) = -35 - 501*c + 144*c + 178 + 301. Let v(f) = 13*u(f) + 6*x(f). What is the derivative of v(g) wrt g?
211
Let b be (45/20 - 6)/(6/(-16)). Let f be (-5)/(-25) - (-48)/b. What is the third derivative of -12*g - 3*g + 15*g - f*g**2 - 20*g**3 wrt g?
-120
Let q(n) = 6773*n**2 + 4392*n - 8. Let b(v) = -2257*v**2 - 1468*v + 3. Let s(o) = 8*b(o) + 3*q(o). What is the second derivative of s(d) wrt d?
4526
Let b be (-78)/(-260) - 34/(-20). What is the second derivative of -116*y - 52*y + 8 - 88*y**b - 11 + 3 wrt y?
-176
Let q be 1 - (0 + -1)*-2*-2. Suppose -17*o + q*o = -36. Find the second derivative of -11*s - 9*s**o - 13*s**3 + 38*s**3 - 12*s**3 wrt s.
24*s
Let w(b) = -95*b**4 - 35*b**3 + 6*b**2 - 5*b - 293. Let x(t) = -7*t**3 - t - 1. Let c(d) = w(d) - 5*x(d). Find the third derivative of c(s) wrt s.
-2280*s
Differentiate 579 + 509 + 34*l**2 - 784 + 14*l with respect to l.
68*l + 14
Differentiate -3973 - 16*q - 6324 + 60*q + 97326141*q**2 - 97326157*q**2 with respect to q.
-32*q + 44
Let g(z) be the third derivative of 5027*z**7/105 + 6059*z**3/6 - 9520*z**2. Find the first derivative of g(u) wrt u.
40216*u**3
Let k be 2/(-16)*6*8/(-2). Suppose 0*o = -5*g + o + 29, 4*g - k*o = 32. Find the third derivative of -13*d**2 + 10*d**5 - 5*d**g + 0*d**5 wrt d.
300*d**2
Let n = 132 - 130. What is the second derivative of 2*k**5 + n + 7038*k**3 - 7038*k**3 - 37*k**2 - 27*k wrt k?
40*k**3 - 74
Let r be ((-8)/24)/((-3)/((-9)/(-1))). Differentiate 27*f**4 - 13 - 71*f**4 - r + 81 with respect to f.
-176*f**3
Let y(d) = 946*d**3 + 5*d**2 + 154*d - 27. Let x(u) = -2837*u**3 - 14*u**2 - 463*u + 72. Let n(c) = 3*x(c) + 8*y(c). Find the third derivative of n(r) wrt r.
-5658
Suppose 5*i - 4*t + 23 - 113 = 0, -5*t = 5*i - 45. Find the third derivative of -2*g**6 - 32*g**6 + 0*g**5 + 3*g**2 + i*g - g**5 wrt g.
-4080*g**3 - 60*g**2
Let l = 3498 - 3496. Let c(m) be the third derivative of 19*m**l + 0*m**4 + 19/60*m**5 - 5/6*m**3 + 0*m + 0. Find the first derivative of c(o) wrt o.
38*o
Let s(x) = x**3 + 9*x**2 + 8*x + 6. Suppose -5*f = -0*f + 40. Let y be s(f). Find the third derivative of 4*z**6 - 4*z**y + 21*z**2 - 7*z**2 - 2*z**6 wrt z.
-240*z**3
Let s(d) be the first derivative of 302*d**7/7 - 2609*d**3/3 + d**2 + 2197. What is the third derivative of s(n) wrt n?
36240*n**3
Let j(y) be the first derivative of -y**5 + 944*y**3/3 + 4038*y - 4349. Differentiate j(d) wrt d.
-20*d**3 + 1888*d
Suppose i - 34 - 81 = 0. What is the first derivative of -i*d**3 - 17838*d - 199 + 17838*d wrt d?
-345*d**2
Let j(l) be the third derivative of 2*l**7/105 + 5*l**6/2 + 217*l**3/3 + 621*l**2. Differentiate j(u) with respect to u.
16*u**3 + 900*u**2
Let k(f) = 4602*f**3 + 4931*f + 14. Let n(y) = 4604*y**3 + 4930*y + 12. Let j(x) = -6*k(x) + 7*n(x). What is the second derivative of j(m) wrt m?
27696*m
Let u(q) = 3*q**2 - q - 5. Let c be u(3). What is the derivative of -41*y + 15 + c + 26 wrt y?
-41
Let i(s) be the second derivative of 2*s**7 - s**6/15 - 155*s**3/3 - 364*s. Find the second derivative of i(g) wrt g.
1680*g**3 - 24*g**2
Let r(l) be the third derivative of 15*l**8/56 - 37*l**7/210 - l**5/30 - l**4/6 + 32*l**3/3 + 5911*l**2. Find the second derivative of r(a) wrt a.
1800*a**3 - 444*a**2 - 4
Differentiate 387 + 5*c + 239 - 195*c - 362*c - 324*c wrt c.
-876
Let s(c) be the third derivative of 1971*c**5/20 + c**4/24 - 2977*c**3/3 + c**2 - 45*c - 7. What is the derivative of s(i) wrt i?
11826*i + 1
Let i(h) = 4*h**3 - 2*h**2 + h - 6. Let v be i(2). Let m be (3/4)/(((-45)/v)/(-9)). Find the third derivative of m*a**6 + 16*a**6 + 18*a**2 - 10*a**6 wrt a.
1080*a**3
Suppose 5*b = b + 5*o + 105, -b - 3*o = -22. Suppose 5*h = -5*r + b, 3*h + r = 3*r. What is the first derivative of -5*c + 8 + 47*c**2 - 46*c**h + 23 wrt c?
2*c - 5
Let t = -46 + 60. Find the third derivative of 41*a**3 - 28*a**2 + 8*a**2 - t*a**2 + 0*a**2 wrt a.
246
Let d(t) be the first derivative of -67/3*t**3 + 0*t**2 + 27 - 50*t. What is the derivative of d(o) wrt o?
-134*o
Find