) be the third derivative of r**7/210 - 11*r**6/60 - 29*r**4/3 + 513*r**2. Find the second derivative of z(a) wrt a.
12*a**2 - 132*a
Let w(c) be the second derivative of 0*c**3 + 21/10*c**5 + 0*c**2 - 4/3*c**4 + 0 + 1/30*c**6 + 42*c. What is the third derivative of w(u) wrt u?
24*u + 252
Let z be -6 + 5 + (6 - 0). Suppose -6*a - 30 = -z*x - 3*a, -5*x - 4*a = 5. Differentiate 5*u**3 + 0 + 7 - x wrt u.
15*u**2
Suppose -5*i + 4 = -4*i. What is the second derivative of 5*k**i - 12*k - 11*k + 13*k wrt k?
60*k**2
Let p(i) be the first derivative of -65*i**4/4 - 109*i**3/3 - 105. Find the third derivative of p(n) wrt n.
-390
Let n(t) = t**3 - 4*t**2 + 3. Let a be n(4). Suppose 7 - 13 = -a*d. What is the derivative of -12*c**2 - c**d + 85 - 93 wrt c?
-26*c
Let n be ((-2)/10)/(4/5)*-12. Let j(d) be the third derivative of 1/2*d**3 - n*d**2 + 0 - 1/12*d**4 + 0*d. What is the first derivative of j(r) wrt r?
-2
Let r(b) = b**2 - 44*b + 482. Let d be r(20). Let g(s) be the first derivative of 0*s**d + 13/3*s**3 - s + 10. Differentiate g(v) with respect to v.
26*v
Let b = 327 - -239. Find the second derivative of -566*q**3 + 11*q - 13*q**4 + b*q**3 wrt q.
-156*q**2
Let y(b) be the first derivative of -116*b**5 - 385*b**2/2 + 314. Find the second derivative of y(c) wrt c.
-6960*c**2
Let p(z) = -z**3 + 9*z**2 + z - 4. Let y be p(9). Let f be (-3)/4 + 2/16*310. What is the second derivative of y*r + 2*r**3 + 38 - f wrt r?
12*r
Let w(a) = -146*a**5 - 12*a**4 - 6*a**3 - 291*a**2 + 6. Let y(v) = 2*v**4 + v**3 - 1. Let u(x) = -w(x) - 6*y(x). Find the third derivative of u(l) wrt l.
8760*l**2
Let d(k) be the first derivative of 31/4*k**4 + 0*k**3 + 7*k + 0*k**2 - 29. Find the first derivative of d(w) wrt w.
93*w**2
Let w(i) be the first derivative of -49*i**6/6 - 2*i**3/3 - 64*i**2 + 24. What is the second derivative of w(b) wrt b?
-980*b**3 - 4
Let g(x) be the second derivative of 3*x**6/10 + 3*x**5/20 + 5*x**3/6 + x**2 + 16*x. Find the second derivative of g(i) wrt i.
108*i**2 + 18*i
What is the first derivative of 6*p - 57 - 30*p - 411*p**2 + 24*p wrt p?
-822*p
Let n be (2 + (-3 - -1))/3. Suppose 5*k + 5 = 5*y, n = -0*y + 2*y - 6. Find the second derivative of r - 16*r**3 - 4*r + 10*r**3 - k*r wrt r.
-36*r
Let o be 15/(-25) + (-39)/(-15). Let m be o/4 + (-119)/(-34). What is the first derivative of -9 + 3*u**3 + m + 0 wrt u?
9*u**2
Suppose 0 = -2*h - h. Suppose h = -2*n + 2*g, 3*g + 2*g = 3*n + 4. What is the third derivative of 40*j - 8*j**4 - 40*j + 5*j**n - j**2 wrt j?
-192*j
Let n(w) be the second derivative of w**4/12 + 5*w. Let q be n(-2). What is the second derivative of 11*u**4 + 31*u**3 + u - 4*u**q - 31*u**3 wrt u?
84*u**2
Let z(s) be the second derivative of -51*s**5/10 + s**4/12 - 466*s**2 - 5*s + 13. What is the derivative of z(l) wrt l?
-306*l**2 + 2*l
Let n(k) be the second derivative of -5/2*k**3 + 0 + 0*k**2 - 1/2*k**4 - 17*k. What is the second derivative of n(h) wrt h?
-12
Let r(t) be the first derivative of 0*t**2 - 10*t + 10 - 5/3*t**3. Differentiate r(k) wrt k.
-10*k
Let m(o) = -o**2 - o + 1. Let k(q) be the first derivative of -2*q + 4*q**3 + 5/2*q**2 - 1. Let r(v) = k(v) + 5*m(v). Differentiate r(y) with respect to y.
14*y
Let w = -10 + 14. Suppose -2*l + 0*u = -3*u - 20, w*l - 24 = 2*u. Differentiate -l*y - 2*y + 3*y - 8 wrt y.
-3
Let s(k) be the third derivative of 1/2*k**3 + 0*k**4 + 0 + 0*k + 9*k**2 + 1/42*k**7 + 0*k**6 + 0*k**5. Find the first derivative of s(i) wrt i.
20*i**3
Let a(n) = n + 3. Let d(s) = s + 3. Let w(p) = 4*a(p) - 3*d(p). Let q be w(0). What is the second derivative of -v - 3*v - 2*v**q + 10*v wrt v?
-12*v
Let r(u) be the second derivative of 37*u**6/5 - 407*u**2/2 - 7*u - 21. What is the first derivative of r(l) wrt l?
888*l**3
Let s(f) = -1935*f**4 + 81*f**2 + 30*f. Let i(b) = 121*b**4 - 5*b**2 - 2*b. Let a(w) = -33*i(w) - 2*s(w). What is the third derivative of a(c) wrt c?
-2952*c
Suppose x - 5 = 2*s, 6*x - 4 = 3*x - 5*s. Suppose 4*g - 4*y = 44, 7*g - x*y = 2*g + 55. What is the derivative of 10 + d - g - 2 wrt d?
1
Let l(j) be the first derivative of -5*j**4 + 0*j**3 - j + 3/2*j**2 - 21. What is the second derivative of l(t) wrt t?
-120*t
Suppose -8 + 5 = -o. Let j(a) = 28*a**3 - 2*a**2 - 14. Let x(k) = 29*k**3 - 3*k**2 - 14. Let t(h) = o*j(h) - 2*x(h). What is the first derivative of t(w) wrt w?
78*w**2
Let z(k) = -k**3 - 7*k**2 + k - 14. Let g be z(-8). What is the second derivative of -2 + 2 + 43*t**2 + g*t wrt t?
86
Let h(t) be the first derivative of -25/2*t**2 - 17*t - 11. Find the first derivative of h(f) wrt f.
-25
Let s be (-21)/9 + 28/12. Let n(m) be the second derivative of 0 - 3/2*m**2 + 6*m + 11/12*m**4 + s*m**3. Differentiate n(p) wrt p.
22*p
Let z(d) = -d**2 - 2*d + 2. Let i be z(0). What is the third derivative of m**2 + m**i + 6*m**6 + 2*m**6 wrt m?
960*m**3
Find the third derivative of 202*v**5 - 49*v + 2 - 2 + 2*v**2 + v**6 - 100*v**5 wrt v.
120*v**3 + 6120*v**2
Suppose 11*d + 6 = 14*d. Let i = d - -4. What is the derivative of 9 - 3 - 9*l + i wrt l?
-9
Suppose -21 = -5*k + 4*b + 3, 0 = 5*k - 3*b - 23. Let z(m) be the first derivative of 0*m**3 - 8 + 0*m**2 - 8*m + 7/5*m**5 + 0*m**k. Differentiate z(p) wrt p.
28*p**3
Let g(p) = 134*p**3 + 11*p**2 + 11*p + 5. Suppose 77 = -5*c + 12*c. Let i(f) = 27*f**3 + 2*f**2 + 2*f + 1. Let d(x) = c*i(x) - 2*g(x). Differentiate d(a) wrt a.
87*a**2
Let f(j) be the second derivative of 0*j**2 + 0*j**4 - 15*j + 0 + 0*j**5 + 1/5*j**6 + 11/3*j**3. What is the second derivative of f(n) wrt n?
72*n**2
Suppose 0 = -3*j + 27 - 15. What is the second derivative of 4*w**j - w**4 + 2*w**4 + 15*w wrt w?
60*w**2
Let g be -2 + (0 - (3 - 2)). Let z = g - -6. Find the first derivative of -f**3 + f**3 + f**3 - 2*f**z - 2 wrt f.
-3*f**2
Find the third derivative of 2*q**2 - 85*q**4 - 33 + 87*q**4 - 21*q**3 + 11*q**3 wrt q.
48*q - 60
Suppose -16*r + 10 = -11*r. What is the third derivative of 5*a - 5*a - 5*a**4 + 12*a**r wrt a?
-120*a
What is the second derivative of 21*y - 72 + 321 + 25*y - 66*y + 228*y**4 + 21*y wrt y?
2736*y**2
Let f(n) = 6*n**3 - 20*n**2 - 210*n + 4. Let i(r) = 17*r**3 - 61*r**2 - 630*r + 11. Let g(x) = -11*f(x) + 4*i(x). What is the second derivative of g(z) wrt z?
12*z - 48
Let a(v) be the third derivative of 0*v**3 + 0*v - 14*v**2 + 5/4*v**4 + 0*v**6 + 0*v**5 + 0 + 3/35*v**7. Find the second derivative of a(r) wrt r.
216*r**2
Let u be 18/4*6/9. Find the third derivative of -10*a**5 + 16*a**2 - u*a**2 - a**2 wrt a.
-600*a**2
Differentiate 74 + 20*i - 187*i**2 - 20*i + 76*i**2 with respect to i.
-222*i
Let i(r) be the first derivative of -17*r**5/120 + r**4/4 - 6*r**3 - 1. Let v(w) be the third derivative of i(w). What is the first derivative of v(b) wrt b?
-17
Let y(l) = -74*l**3 + 4*l**2 - 25*l + 4. Let q(x) = -815*x**3 + 45*x**2 - 275*x + 45. Let m(o) = 4*q(o) - 45*y(o). What is the second derivative of m(a) wrt a?
420*a
Suppose 6 = 4*y - 2*l, 2 - 8 = -2*l. Suppose 3*g = -c + 12, -c = 2*g - 4*g + y. Find the third derivative of 6*m**4 - g*m**4 + 6*m**2 + 0*m**4 wrt m.
72*m
Let i(v) be the first derivative of -229*v**6/3 + 13*v**2/2 - 29. Find the second derivative of i(m) wrt m.
-9160*m**3
What is the second derivative of 2*g - 2*g - 6*g - 323*g**4 - 556*g**4 + 15 - 8 wrt g?
-10548*g**2
Let p(m) = 1008*m**2 - 503*m. Let r(z) = -673*z**2 + 336*z. Let j(i) = -5*p(i) - 7*r(i). Find the second derivative of j(x) wrt x.
-658
Suppose m - 51 = -2*m. Find the first derivative of 21*h**2 - m*h**2 - 14*h**2 - 5 wrt h.
-20*h
Let y(n) = -n**4 + n**3 + 2*n**2 - n + 1. Let j(g) = 265*g**4 + 5*g**3 + 12*g**2 - 5*g - 9. Let u(q) = -j(q) + 5*y(q). What is the derivative of u(m) wrt m?
-1080*m**3 - 4*m
Let j(v) be the first derivative of 577*v**5/5 + 77*v**3 - v**2/2 + 515. Find the third derivative of j(y) wrt y.
13848*y
Let d(n) be the third derivative of 31*n**4/8 + n**3 - 101*n**2. What is the first derivative of d(v) wrt v?
93
What is the third derivative of 12 - 191*v**3 + 12*v**3 + 1 + 63*v**2 - 13 wrt v?
-1074
Let y(f) be the third derivative of -f**4/12 + 19*f**3/6 + 12*f**2. Let d be y(6). Find the second derivative of -1 + 7 - 4*p**2 - d*p - 6 wrt p.
-8
Let h = 44 + -7. Let s = h - 21. What is the third derivative of -16*g + s*g + 4*g**5 + 2*g**2 - 8*g**2