200*n**3 - 72*n
Let j(m) be the first derivative of -101*m**6/6 - 2*m**5/5 - 2021*m**2/2 - 3249. Find the second derivative of j(a) wrt a.
-2020*a**3 - 24*a**2
Find the third derivative of 6*z**4 + 2*z + 27*z + 3684*z**3 - 3618*z**3 - 45*z**2 + 10*z**4 wrt z.
384*z + 396
Let r(k) = -5412*k**3 + 50*k**2 + 5*k - 39. Let u(o) = -12*o**2 + 2*o + 2. Let z(v) = r(v) + 4*u(v). What is the second derivative of z(c) wrt c?
-32472*c + 4
Let r = -185 - -489. Find the third derivative of -304*b - 8*b**2 + 6 + r*b - 11*b**4 + 12*b**2 + 8*b**6 wrt b.
960*b**3 - 264*b
What is the second derivative of 3817 - 707*q**2 - 1907 - 1910 - 1158*q**2 + 133*q wrt q?
-3730
Suppose 71*q - 65*q = 18. What is the second derivative of -q*i + 150 + 7*i**4 - 147 + 2*i**2 - 3*i**2 + 25*i**4 wrt i?
384*i**2 - 2
Suppose -9*h - 78 = -12*h - 3*b, 3*h - b - 78 = 0. What is the third derivative of 6*m**2 + 2*m**3 + 6*m**4 - h + 9 + 20 wrt m?
144*m + 12
Let i(g) = 78*g**2 - 285*g + 24. Let x(o) = -16*o**2 + 57*o - 5. Let k = 81 + -57. Let a(y) = k*x(y) + 5*i(y). Find the second derivative of a(r) wrt r.
12
Suppose 556 = 3*c + 2*o + 51, 0 = -4*o - 4. Suppose 0 = 5*y - 34 - 6. What is the first derivative of 149*d**4 + y - 337*d**4 + c*d**4 wrt d?
-76*d**3
Let r(h) be the second derivative of 64*h**7/7 - 2897*h**3/6 - 1408*h. Find the second derivative of r(b) wrt b.
7680*b**3
Suppose 0 = -3*j + 12, -j = 7*b - 6*b - 31. Find the second derivative of b*u**4 + 0*u**3 + 5*u**4 + 41*u - 1 + 0*u**3 + 0*u**3 wrt u.
384*u**2
Let d(l) = -l**2 - 14*l - 4. Let v be d(-10). Let x = 39 - v. What is the third derivative of -x*j**2 + 4*j**2 - 2*j**3 + j**2 + 3*j**3 wrt j?
6
Let y(f) = -2287*f**5 + 12*f**4 + 70*f**3 + 443*f. Let w(n) = n**5 + n**4 + 5*n**3 - n. Let j(h) = 14*w(h) - y(h). What is the second derivative of j(s) wrt s?
46020*s**3 + 24*s**2
Let f be ((-102)/(-4))/(12/32). What is the second derivative of -5*o**4 - f*o - 5*o + 78*o**4 wrt o?
876*o**2
Let y(c) = -23*c - 65. Let a be y(-6). What is the second derivative of -34*z**3 + 14*z**3 + 20*z**3 - 1 - a*z + 65*z**4 wrt z?
780*z**2
Suppose 16 = 4*w, 5*m - 8*w = -9*w + 14. Let j(l) be the first derivative of -15/2*l**m - 15*l + 3. Differentiate j(z) with respect to z.
-15
Find the second derivative of 11*f**3 + 22103*f**2 - 3*f - 5*f + 53 - 21994*f**2 wrt f.
66*f + 218
Let x(i) = i**3 - 6*i**2 + 3*i + 15. Suppose -3*v - 66 = -14*v. Let b be x(v). Find the second derivative of -4*p**3 + 33 + 12*p - b wrt p.
-24*p
Let w be -3 - (-5 + 3) - (2 - 14). Suppose -3*y = -65 + w. What is the third derivative of 31*p**3 + y*p**2 - 31*p**3 + 4*p**6 wrt p?
480*p**3
Suppose 18*r - 23*r + 90 = 0. Suppose -2*j = 3*h - 4, j + 3*h - 3 = -1. Find the third derivative of -r*d**6 - 12*d**6 - 257*d**2 + 248*d**j wrt d.
-3600*d**3
Let x be (-7 - -8) + (-2)/4 + 0/(-10). Let v(w) be the first derivative of -19 + x*w**2 - 5/3*w**3 + 0*w. What is the second derivative of v(a) wrt a?
-10
What is the second derivative of 265*s - 1781*s**4 - 2566*s - 868*s**4 + 149*s**4 wrt s?
-30000*s**2
Let j(m) be the third derivative of 541*m**5/60 + 143*m**3/3 - 1165*m**2. Differentiate j(l) wrt l.
1082*l
Let s(r) = 3*r + 36. Let t be s(-6). Differentiate -26 - t - 4 - 13 + 48*w with respect to w.
48
Let x(d) be the first derivative of -430*d**4 + 2633*d**2/2 + 2671. Find the second derivative of x(u) wrt u.
-10320*u
Let f(m) = m**4 - m**3 - 2*m**2 + m + 5. Let t(r) = 1507*r**4 - 4*r**3 - 8*r**2 + 4*r + 1303. Let g(o) = 4*f(o) - t(o). Find the first derivative of g(a) wrt a.
-6012*a**3
What is the first derivative of 1260*x**2 - 1499*x**2 + 96 + 8*x + 365 wrt x?
-478*x + 8
Let s(h) = 14477*h**3 - 6*h**2 - 121*h + 60. Let y(m) = -21716*m**3 + 8*m**2 + 182*m - 86. Let b(x) = -7*s(x) - 5*y(x). Find the third derivative of b(p) wrt p.
43446
Let j be -1*-30*(-12)/(-9). What is the first derivative of -21 + j*i - 3*i**2 + 114 + 181 + 2*i**2 + 2*i**2 wrt i?
2*i + 40
Suppose 3*r - 18 - 27 = 0. What is the second derivative of 3*j - 6*j**4 - 35*j**4 - r*j**4 wrt j?
-672*j**2
Suppose 3*s - 5*v - 376 = 0, -5*s + 433 + 219 = -2*v. Let i = -71 + s. What is the second derivative of 108*n**2 - n**2 - i*n**2 + 24*n wrt n?
92
Let d(j) be the first derivative of 831*j**7/7 - j**6/3 - 2*j**3/3 - j**2 + 812*j + 62. Find the third derivative of d(l) wrt l.
99720*l**3 - 120*l**2
Let h(j) = -3*j + 2410 + 144*j**2 - 28*j**3 - 2416 - 37*j**2. Let y(b) = b + 2. Let a(g) = h(g) + 3*y(g). Find the third derivative of a(c) wrt c.
-168
Let v be 0 - (-3 - (11 - 2)). Let w = 12 - v. What is the derivative of -2*u**2 + 4 + w*u**2 + 0*u**2 wrt u?
-4*u
Let p(v) be the third derivative of -3*v**8/112 + 1013*v**4/24 + 1175*v**2. Find the second derivative of p(r) wrt r.
-180*r**3
What is the second derivative of 2709*f + 112399*f**3 - 112399*f**3 - 7*f**5 - 5*f**5 + 13*f**5 - 353*f**2 wrt f?
20*f**3 - 706
Find the third derivative of -k + 3*k**2 + 1947*k**3 + 14 - 4*k + 3087*k**3 - 3*k wrt k.
30204
Suppose 0 = -0*d - d + 2*d. Suppose 3*l - 17 = -4*y, 0 = -5*l + 2 + 13. Find the second derivative of 35*a - y*a**3 + d + 0 - 44*a wrt a.
-12*a
Let r = -70 - -79. Let f(a) = a**3 - 8*a**2 - 8*a. Let s be f(r). What is the third derivative of s*g**2 - 13*g**2 - 20*g**2 + 20*g**5 wrt g?
1200*g**2
Let m(s) = 6*s**3 - 6*s - 96. Let g = -174 + 178. Let u(t) = -11*t**3 + 13*t + 193. Let r(a) = g*u(a) + 9*m(a). Differentiate r(i) wrt i.
30*i**2 - 2
Let r = 26 + -18. Let p be r/(-10)*(-15)/6. What is the derivative of -14*f + 17 - f - 2 - p wrt f?
-15
Let x(y) be the second derivative of -61*y**4/6 - 48*y**3 - 84*y**2 + 12*y - 11. Let u(h) be the first derivative of x(h). Differentiate u(s) wrt s.
-244
Let l = 41 - 35. Let y be 9/l*(-12)/(-9). What is the second derivative of -y*k**3 + 12*k + 6*k**3 - k**3 wrt k?
18*k
What is the first derivative of -87 - 1008*n**3 + 575*n**3 - 1262*n**3 + 819 wrt n?
-5085*n**2
Let g(d) be the second derivative of 2711*d**5/5 + 2123*d**4/2 - 3880*d. Find the third derivative of g(l) wrt l.
65064
Let g(s) be the third derivative of -1/30*s**5 + 1/15*s**6 - 32*s**2 + 0*s + 0*s**3 + 0 + 35/12*s**4. What is the second derivative of g(c) wrt c?
48*c - 4
Let c(p) = 8*p**3 + 139*p**2 - 18*p + 37. Let d(v) = 4*v**3 + 68*v**2 - 9*v + 18. Let k(t) = 6*c(t) - 13*d(t). Find the second derivative of k(b) wrt b.
-24*b - 100
Suppose 6*h + 738 = 51*h - 342. Let g(x) be the first derivative of 0*x**3 + 0*x**2 - 24/5*x**5 + 20 + 0*x**4 + h*x. Differentiate g(t) with respect to t.
-96*t**3
Find the second derivative of 14*k**5 + 6298*k + 6771*k - 11693*k + 45*k**4 wrt k.
280*k**3 + 540*k**2
What is the third derivative of -6624*c - c**2 + 6*c**5 - 706 - 62*c**4 + 6624*c wrt c?
360*c**2 - 1488*c
Let z(d) = 51*d**2 - 10*d - 14. Let y be z(-2). What is the first derivative of 16*p - 176 - 7*p - 35 + y*p**3 - 33 - 8*p wrt p?
630*p**2 + 1
Let c(t) = t**5 - 3*t**4 + t**2 - t. Let h(s) = -1220*s**5 - 9*s**4 - 525*s**2 - 3*s. Let p(x) = -3*c(x) + h(x). Find the third derivative of p(d) wrt d.
-73380*d**2
Suppose -n - 8 = -2*o - 0*n, -3*n - 4 = 4*o. Let k be 8/(-24)*(-5 - -2)*o. Find the first derivative of k + 0 - 20*j**2 - 10*j + 10*j wrt j.
-40*j
Let d be (-1305)/(-255) + (-2)/17. Suppose 4*t = 4*k - 8*k + 16, 4*k + 5*t - 16 = 0. Differentiate -k + d - 25*s**2 + 6 with respect to s.
-50*s
Let l(n) = 95*n**4 - 18*n**3 - 424. Let k(m) = 48*m**4 - 8*m**3 - 213. Let q(s) = -9*k(s) + 4*l(s). Differentiate q(g) wrt g.
-208*g**3
Let i be (9/(-4))/(39/(-104)). Find the third derivative of -18*l**2 + 100*l**6 - 18*l**i - 1 + 37*l**2 wrt l.
9840*l**3
What is the second derivative of -10409*q + 5200*q - 5839*q**5 - 2*q**3 + 5208*q + 759 + 2*q**3 wrt q?
-116780*q**3
Let z = -123 + 127. What is the third derivative of 0*f**3 + z*f**2 + 11*f**2 + 2*f**3 - 4*f**4 - 3*f**2 wrt f?
-96*f + 12
Let v = 36 - -148. Suppose 0 = -p - 3*c + 94, -v = -p - p - 5*c. What is the derivative of t**2 + 96*t**3 + 23 - p*t**3 - t**2 wrt t?
42*t**2
Let q(g) be the second derivative of -61*g**5/60 + 68*g**3/3 + 28*g**2 - 118*g. Let w(o) be the first derivative of q(o). Differentiate w(v) with respect to v.
-122*v
Let p = 120 - 233. Let d = p + 118. What is the second derivative of -169*y**5 + 22*y + 13*y + 140*y**d wrt y?
-580*y**3
Suppose -47*l = -