
Let c be 2/(-7)*-4 - 51/357. Suppose 2*k + 1616 = 5*k + r, 4*k - 5*r - 2142 = 0. What is the third derivative of 12*q**2 - k*q**5 + 532*q**5 + c - 1 wrt q?
-360*q**2
Find the first derivative of 2227 + 936 - 3740*j + 750 wrt j.
-3740
Let q(t) = 29*t - 2. Let d be q(3). Suppose 21*p = 16*p + d. What is the second derivative of 2*b + 15*b**4 + p*b - 20*b**4 wrt b?
-60*b**2
Let q be (4/(-8))/(-14 + 13). Let r(a) be the third derivative of -2*a**2 + 0*a**4 + 0 - q*a**3 + 1/20*a**5 + 0*a. Find the first derivative of r(v) wrt v.
6*v
Let r(w) = w + 10. Let l be r(-10). Find the second derivative of -1 + 6 + l*s - 3*s - 27*s**2 - 9 wrt s.
-54
What is the second derivative of -129*y**4 - 1202*y + 189*y**4 - 825*y**5 + 826*y**5 + 367*y**4 wrt y?
20*y**3 + 5124*y**2
Let m(b) = -6*b**2 + 2193*b - 3134. Let h(n) = -n**2 + 9*n - 1. Let j(x) = -4*h(x) + m(x). What is the first derivative of j(c) wrt c?
-4*c + 2157
Let f be (-240)/(-50) - (1 + 0)/(-5). Find the second derivative of -k**5 - 2*k**f + 6*k**2 + 1 + 14*k**5 - 3*k**5 - 9*k wrt k.
160*k**3 + 12
Let x(l) be the third derivative of l**6/30 - 307*l**4/8 - 1654*l**3 - 3*l**2 + 564. Find the first derivative of x(r) wrt r.
12*r**2 - 921
Let i(b) be the first derivative of 0*b**2 + 0*b**4 + 14 - 106*b + 5/3*b**3 + 6/5*b**5. What is the derivative of i(h) wrt h?
24*h**3 + 10*h
Let j(i) = 11*i**2 + 78*i - 6743. Let k(n) = -34*n**2 - 232*n + 20230. Let h(z) = 37*j(z) + 12*k(z). What is the derivative of h(x) wrt x?
-2*x + 102
Differentiate 446*w - 4840*w + 1866*w - 14565 - 3632*w - 1137*w wrt w.
-7297
Let u(i) be the second derivative of 0*i**2 - 1/3*i**3 - 6*i - 9/4*i**4 - 8 + 54/5*i**5. What is the third derivative of u(f) wrt f?
1296
Suppose -5*x + 13 = 3. Suppose 2*j = 2*a + 32, -3*j - 13 = 3*a - 43. What is the derivative of 7 - 14 - j - x*f + 0*f wrt f?
-2
Let p(r) = -3730*r - 4692. Let y(k) = -5597*k - 7038. Let b(i) = -8*p(i) + 5*y(i). Differentiate b(h) wrt h.
1855
Let f(o) be the third derivative of -11/24*o**4 + 0 - 34*o**2 - 1/2*o**3 + 0*o + 7/6*o**5. Find the second derivative of f(b) wrt b.
140
Let y = 261 + -257. What is the third derivative of -145*k**2 + 4*k**3 + 2*k - 3*k + 0*k**y + k + 2*k**4 wrt k?
48*k + 24
Differentiate 759*a + 4088 + 355 - 2737*a + 827*a with respect to a.
-1151
Let v = 6909 - 6903. Let d(z) be the first derivative of 36 + 2*z**v + 0*z**2 + 0*z + 0*z**4 - 28/3*z**3 + 0*z**5. What is the third derivative of d(n) wrt n?
720*n**2
Let a = 96 - 65. Let t(q) be the first derivative of -3*q**3 + 28*q + 13 + 0*q**3 - a. Differentiate t(v) wrt v.
-18*v
Let w(s) be the second derivative of -3*s**7/2 - s**6/30 - 3*s**5/20 + 173*s**3/2 - 1661*s + 2. What is the second derivative of w(u) wrt u?
-1260*u**3 - 12*u**2 - 18*u
Find the second derivative of 7*s**4 - 71*s - 11*s**3 + 326*s**3 + 155*s**3 - 87*s + 5 - 2*s**5 wrt s.
-40*s**3 + 84*s**2 + 2820*s
Let c = -9064 - -9067. Let g(q) be the first derivative of 33/2*q**2 + 38/5*q**5 + 0*q**4 + 0*q - 21 + 0*q**c. Find the second derivative of g(l) wrt l.
456*l**2
Let u(v) be the first derivative of 247*v**4/2 - 661*v**2/2 - 891. Find the second derivative of u(f) wrt f.
2964*f
Let l(d) = 6*d**4 + 236*d**2 - 9*d + 4. Let b(z) = -5*z**4 - 157*z**2 + 6*z - 2. Let a(f) = 7*b(f) + 5*l(f). Find the second derivative of a(o) wrt o.
-60*o**2 + 162
What is the third derivative of -478*k**2 + 21*k**5 - 21*k**5 - 2*k**6 + 8*k**6 - 20*k**3 - 2 - 314*k**2 wrt k?
720*k**3 - 120
Suppose -2*m - 23 - 7 = -2*n, -4*n - 5*m + 96 = 0. Suppose -5*b + 4*a = -32, -4*b - a = -2*a - n. Find the second derivative of 6*k - 9*k**4 + 6*k - k**b wrt k.
-120*k**2
Let f(i) = 2*i**3 - i**2 - 7. Let p be f(3). Differentiate -54 - p + 82*j + 116 - 97 wrt j.
82
Let p(k) = 2*k**3 + 3*k**2. Let o be p(-2). Let h = o - -8. Find the second derivative of 13*j**h - 8*j - 2*j - 5*j - 14*j**4 wrt j.
-12*j**2
Let r = 199 + -98. Differentiate 2*h**2 - 86 + h**4 + r - 23*h**2 wrt h.
4*h**3 - 42*h
Suppose 0 = -2*c + 4*v + 80, 17*c - 2*v = 19*c - 74. Differentiate 293 - 97*f - c - 16 - f with respect to f.
-98
Let o = 7972 + -7968. Let a(q) be the second derivative of 0*q**3 + 0 - 7/12*q**o - 3*q**2 + 12*q. What is the derivative of a(w) wrt w?
-14*w
Let r(w) be the third derivative of 677*w**5/10 - 409*w**3/3 - 1118*w**2. Differentiate r(u) wrt u.
8124*u
Differentiate 4 - 60 + 809*m**4 - 96 - 27 wrt m.
3236*m**3
Find the third derivative of 227*z**4 - 783*z**4 - 39*z**3 + 76*z**3 - 146 - 35*z**3 - 158 + 4*z**2 wrt z.
-13344*z + 12
Suppose -10*p = 2 - 22. Suppose -2*m - q + 0 = -68, 112 = 4*m - 4*q. Find the second derivative of -25*n**2 - m*n**2 + 63*n**p + 3*n wrt n.
12
What is the third derivative of 503*n - 258*n - 1638*n**2 - 243*n + 681*n**4 wrt n?
16344*n
Let v(p) be the third derivative of -2 - 2*p**2 + 0*p - 23/120*p**6 + 0*p**3 - 2/3*p**4 - 1/60*p**5. What is the second derivative of v(w) wrt w?
-138*w - 2
Let c(h) be the second derivative of 1381*h**7/42 + 307*h**3/6 + 585*h + 1. What is the second derivative of c(j) wrt j?
27620*j**3
Let u = -3920 + 3931. Let r(m) be the first derivative of 0*m**4 + 0*m - 2*m**5 + u + 0*m**2 - 17/3*m**3. What is the third derivative of r(b) wrt b?
-240*b
Let q = 22 - 9. Suppose -3*h - 5*k = -40, -5 = h - 4*k + 10. Differentiate g - h*g + 15*g + q with respect to g.
11
What is the first derivative of 348 + 0*b**2 + 17964*b + 0*b**2 + 45 + 9*b**4 - 17881*b wrt b?
36*b**3 + 83
Let j(o) be the third derivative of -15*o**2 + 1/6*o**3 + 0*o + 0 - 31/24*o**4. Differentiate j(h) with respect to h.
-31
Find the first derivative of u - u**2 - 1751*u**3 + 1477*u**3 + 506 - u wrt u.
-822*u**2 - 2*u
Let l(z) be the second derivative of 0 + 13/3*z**3 - 53/2*z**2 + 27*z. Differentiate l(w) with respect to w.
26
Let c(k) = -9*k**2 - 50*k. Let l(f) = 18*f**2 + 100*f. Let t be (-7)/2 + (-90)/60. Let n(u) = t*c(u) - 2*l(u). What is the second derivative of n(o) wrt o?
18
Let b = 156 + -68. Suppose -9*h + b = -65. Find the second derivative of 4*o - 12*o - 3*o - h*o**3 wrt o.
-102*o
Suppose 0 = -8*g + 98 + 126. Differentiate -g*w - 16*w + 13*w - 8*w + 33 with respect to w.
-39
Let f(l) = 16*l**4 - 2*l + 7. Let q(d) = -d**4 - d. Let i(p) = 6*p - 69. Let w be i(11). Let z(c) = w*q(c) + f(c). Find the second derivative of z(k) wrt k.
228*k**2
Let l(i) = 12952*i**3 + i**2 - 6*i - 199. Let p(m) = -12976*m**3 - m**2 + 7*m + 200. Let y(x) = -7*l(x) - 6*p(x). What is the third derivative of y(o) wrt o?
-76848
Let u(z) = -38*z + 253. Suppose -2*p = 5*r + 19, -3*p + 4 = 2*r - 8*p. Let i(o) = 18*o - 128. Let w(j) = r*u(j) - 5*i(j). Differentiate w(a) wrt a.
24
Let i(b) be the second derivative of 8777*b**6/30 + 2527*b**4/12 + b**2/2 - 6839*b. What is the third derivative of i(h) wrt h?
210648*h
Suppose 28 = 3*a - 2*w, -5*a + w - 6*w + 80 = 0. What is the third derivative of -a*u**2 + 1 + 803*u**3 - 731*u**3 - 12*u**2 wrt u?
432
Let o(h) = 9*h + 607. Let m be o(-66). Let x(d) be the second derivative of 0*d**3 + 0 - m*d + 7/2*d**2 + 13/12*d**4. Find the first derivative of x(n) wrt n.
26*n
Suppose -8*q + 5*f = -6*q - 50, 3*f + 72 = 4*q. What is the second derivative of -10*d - 60*d - q*d + 48*d**2 + 81*d**2 wrt d?
258
Let c be 70 - (-6 + 0) - 4. What is the first derivative of 84*v**4 - 41*v**4 + 137*v**4 - 140 + c*v**4 wrt v?
1008*v**3
What is the derivative of 349 - 1320*p**3 + 136 + 422 - 286 wrt p?
-3960*p**2
Let y(r) be the third derivative of 53*r**9/126 - r**6/40 - r**5/20 + 19*r**3/6 - 108*r**2 - 2. Find the third derivative of y(p) wrt p.
25440*p**3 - 18
What is the derivative of 227 - 111 + 324*p**3 + 208 wrt p?
972*p**2
Let g(y) be the third derivative of -28/3*y**3 + 0*y + 0*y**4 + 0 + 102*y**2 + 49/60*y**5. Find the first derivative of g(j) wrt j.
98*j
What is the third derivative of 1006*t**4 - t**5 - 859*t**4 + 2 + 844*t**2 + 139*t**2 wrt t?
-60*t**2 + 3528*t
Let u be 13 - 16 - 3/(-1). Suppose 2*x + u*a - 26 = -4*a, 5*x + a = 29. Find the second derivative of 6*w + 6*w**x + 0*w + 4*w wrt w.
120*w**3
Let b(f) = -887*f - 184. Let d(m) = 3542*m + 736. Let x(y) = -9*b(y) - 2*d(y). Differentiate x(o) wrt o.
899
Let c(n) be the first derivative of -9*n - 90 + 0*n**4 + 0*n**3 + 2*n**2 + 87/5*n**5. What is the second derivative of c(b) wrt b?
1044*b**2
Let 