s) = -4*b(s) + 14*x(s). Differentiate i(j) with respect to j.
68*j
What is the second derivative of 84*m + 96*m**2 - 11*m**2 + 79*m wrt m?
170
Let f(y) = y**2 - y - 4. Let p be f(3). What is the third derivative of 8*o**2 - 7*o**2 + 11*o**2 + o**p - 2*o**3 wrt o?
-12
Let k(d) be the third derivative of 0 + 0*d + 19/24*d**4 - 3*d**2 + 0*d**3 + 7/20*d**5. What is the second derivative of k(p) wrt p?
42
Let o(y) = y**2 + 3*y + 4. Suppose 0 = -4*w + 2*w. Let m be o(w). What is the third derivative of -2*j**4 + 3*j**4 - 9*j**2 + 4*j**2 + 0*j**m wrt j?
24*j
Let c be (-10)/(-10)*(-2 - -6). Suppose 4*n + c = b, 0 = -4*b + 4*n + 12 + 4. Find the first derivative of 1 - 11*x**b - 3 + 5 wrt x.
-44*x**3
Suppose -5*t + 35 = -5*h, -3*t - 4*h + 7 = -42. What is the second derivative of -1156*m**2 + 11*m**5 + 1156*m**2 - t*m wrt m?
220*m**3
What is the derivative of -3*q + 176 - 236 - 88*q**2 - 206 + 3*q wrt q?
-176*q
Suppose 12*i - 91 = 5*i. Let b = 24 - i. Find the second derivative of 2*j + 4*j**5 - b*j - 5*j**5 + 0*j**5 wrt j.
-20*j**3
Let j be (-1 - -4 - -3)/2. Suppose -14 - 6 = -4*u. Let i(g) = g - 2. Let z(o) = -3*o + 5. Let d(h) = j*z(h) + u*i(h). Differentiate d(w) wrt w.
-4
Suppose 5*v + 4*u = 0, 0*u = 5*v - u. Suppose -10 = -3*w + 2*j - 4*j, 4*w - j - 6 = v. What is the second derivative of 3*r**w + 2*r - 3*r + 4*r wrt r?
6
Let y(g) be the second derivative of -g**6/10 - g**5/4 + 13*g**3/2 - 2*g - 15. Find the second derivative of y(m) wrt m.
-36*m**2 - 30*m
Let t = -25 - -27. What is the derivative of -6 + 9*h + t - 6 - 3*h wrt h?
6
Let w(r) be the first derivative of -25*r**4/2 + 35*r**2 - r - 67. What is the second derivative of w(p) wrt p?
-300*p
Let a be 3 + -2*2/(-4). Let j = -3 + 7. What is the second derivative of -j + 4*t**3 - a*t + t**3 + 4 wrt t?
30*t
Let s(k) be the first derivative of -10*k**7/7 + k**4/4 - 58*k**3/3 + 41. What is the third derivative of s(b) wrt b?
-1200*b**3 + 6
Let x be 0/(6 + -4) - 0. Find the first derivative of 5 + x + 6 - 13*s wrt s.
-13
Let w(f) be the first derivative of f**6/3 + 9*f**4/4 + f**2/2 - 2. What is the second derivative of w(d) wrt d?
40*d**3 + 54*d
Let g(s) be the second derivative of -5/4*s**4 + 0*s**2 - 3/2*s**3 - 12*s + 0. What is the second derivative of g(l) wrt l?
-30
Let w(z) be the second derivative of -2*z**6/15 - z**5/5 - 5*z**4/12 - 26*z. What is the third derivative of w(g) wrt g?
-96*g - 24
Let h(t) be the first derivative of t**6/3 + 166*t**5/5 - 434*t**3/3 - 311. Find the third derivative of h(k) wrt k.
120*k**2 + 3984*k
Let h(a) be the third derivative of 0*a**6 - 17*a**2 - 17/105*a**7 + 0*a**5 + 0*a**4 + 0 + 11/2*a**3 + 0*a. What is the first derivative of h(o) wrt o?
-136*o**3
Suppose 0 = 5*l - 5, -2*h - 3*l + 22 = 9. Find the third derivative of -4*b**6 + 5*b**2 + 4979*b**5 - 4979*b**h wrt b.
-480*b**3
Let j(w) be the third derivative of 0*w**6 + 0*w**3 + 0*w**7 - 1/168*w**8 + 0*w + 5/24*w**4 + 0 + 3*w**2 + 0*w**5. Find the second derivative of j(p) wrt p.
-40*p**3
What is the second derivative of 12*z + 17*z + 9*z + 5*z**3 + 3*z**4 + 16*z**3 wrt z?
36*z**2 + 126*z
Let m(f) be the first derivative of -13*f**7 - 58*f**3 - 223. Find the third derivative of m(g) wrt g.
-10920*g**3
Let v be (-2 - -3)/((-1)/(-14)). Find the first derivative of 6*g**2 + 46 - 45 + v*g**2 wrt g.
40*g
Let r(g) be the third derivative of g**6/120 + 6*g**2. Let a(z) = 12*z**5 + 2*z**3 + 5*z**2. Let s(y) = a(y) - 2*r(y). Find the third derivative of s(t) wrt t.
720*t**2
Let k(s) be the second derivative of -5*s**7/7 - s**5/10 + 379*s**4/12 - 15*s. What is the third derivative of k(u) wrt u?
-1800*u**2 - 12
Let w(c) = -c**2 + 1. Let o(p) = -7*p**3 - 26*p**2 - 727. Let h(t) = -o(t) - 3*w(t). Differentiate h(a) with respect to a.
21*a**2 + 58*a
Let w be -3*(-2)/4*(-30)/(-9). What is the second derivative of -w*t + t - 24*t**5 - 9*t + t wrt t?
-480*t**3
Let k(y) be the second derivative of 15/4*y**4 + 0*y**3 - 2 + 0*y**2 + 9*y + 0*y**6 - 1/21*y**7 - 1/20*y**5. What is the third derivative of k(a) wrt a?
-120*a**2 - 6
Let l be ((-5)/(-10))/((-1)/12). Let a = l + 8. What is the second derivative of 3*d**3 - 3*d - 4*d + a*d wrt d?
18*d
Let b = -82 - -88. What is the third derivative of -3*i**5 - i + 0*i + 4*i**b - 2*i**6 - 2*i + 2*i**2 wrt i?
240*i**3 - 180*i**2
Let m = 29 - 24. Let i(w) be the first derivative of -m + w**4 - 6*w**4 - 3*w**3 + 4*w**4 + 4*w**4. Find the third derivative of i(k) wrt k.
72
Let t(a) be the third derivative of 11/24*a**4 + 0 + 5/2*a**3 + 17*a**2 + 0*a. What is the derivative of t(p) wrt p?
11
Let c(x) be the first derivative of 23*x**5/5 + 29*x**3 - 19. Find the third derivative of c(z) wrt z.
552*z
Suppose 3*t + 1 + 10 = 4*q, q - 14 = -3*t. Differentiate -t*c**2 + 3*c**2 + 12 + 36*c**4 - 24*c**4 wrt c.
48*c**3
Find the second derivative of -k - 5*k - 10*k**5 - 11*k**5 wrt k.
-420*k**3
Let t(v) = -v - 4. Let r be t(-5). Let z be r - (-1 - (2 + 3)). Find the third derivative of 3*w - z*w**2 + 11*w**3 - 4*w**3 - 3*w wrt w.
42
Let f = -36 + 56. Let h = -15 + f. Find the third derivative of 4*k**6 + 172*k**3 - h*k**2 - 172*k**3 wrt k.
480*k**3
Find the third derivative of 18*c**4 + 9*c**2 + 3*c**5 + 2*c**5 - 3*c**5 - 2*c**2 - 17*c**4 + 7 wrt c.
120*c**2 + 24*c
Suppose -7 + 5 = -d. Let h(r) be the first derivative of -d + 2/3*r**3 + 0*r**2 + 6*r. Differentiate h(i) wrt i.
4*i
Let d(c) = -94*c**2 - 11*c - 6. Let h(y) = -93*y**2 - 12*y - 7. Let j(g) = 7*d(g) - 6*h(g). What is the second derivative of j(u) wrt u?
-200
Let b(g) be the first derivative of 255*g**4/4 + 305*g**3/3 - g + 52. What is the third derivative of b(h) wrt h?
1530
Let b(p) be the third derivative of 0*p**4 + 2*p**3 + 12*p**2 - 1/20*p**5 + 0*p + 0. Differentiate b(j) wrt j.
-6*j
Let j(z) = -2*z - 3. Let s(l) = 104*l - 53. Let o(g) = -5*j(g) - s(g). What is the first derivative of o(r) wrt r?
-94
Let y(a) = a**2 + a + 3. Let k = -12 + 12. Let c be y(k). Find the third derivative of l**6 - l**2 - 7*l**6 - 3*l**c + 3*l**3 wrt l.
-720*l**3
Let q be 5/(-4) - 2/((-48)/270). Suppose 5*u + 3*g - 131 = 0, -3*u - 2*u + 2*g + 146 = 0. Find the second derivative of 30*p**3 - 3*p + q*p - u*p**3 wrt p.
12*p
Let z(w) be the third derivative of -43*w**5/20 - 9*w**4/4 + 4*w**2 + 6. What is the second derivative of z(j) wrt j?
-258
What is the derivative of -79 + 131*y**3 - 316*y - 31 + 36 + 315*y wrt y?
393*y**2 - 1
Let y be 8 + 1 + -1 + -5. What is the second derivative of -2*p - 41*p**4 + 40*p**4 - 3*p**y - p**3 wrt p?
-12*p**2 - 24*p
Let w(o) = -5*o**3 + o**2 + 2*o + 72. Let y(u) = -9*u**3 + 4*u**2 + 4*u + 144. Let d(g) = -5*w(g) + 2*y(g). Find the second derivative of d(i) wrt i.
42*i + 6
Let s(h) be the first derivative of -1/3*h**6 + 0*h**2 + 0*h**5 + 33 - 5/2*h**4 + 15*h + 1/3*h**3. Find the third derivative of s(w) wrt w.
-120*w**2 - 60
Let g(p) be the third derivative of 173*p**7/105 - 105*p**3/2 - 2*p**2 + 5. Differentiate g(b) wrt b.
1384*b**3
Let f(w) = -72*w**3 + 51*w**2. Let g(y) = -72*y**3 + 52*y**2. Let j(p) = -2*f(p) + 3*g(p). What is the third derivative of j(v) wrt v?
-432
Let j(u) be the third derivative of 10*u**8/21 - 13*u**4/12 - u**3/6 - 239*u**2. What is the second derivative of j(q) wrt q?
3200*q**3
Suppose 0 = 2*q + 4*l - 5 + 1, 2*l = 4*q - 18. Find the second derivative of 22 + 3145*o**2 - 3145*o**2 - 2*o**5 - 13*o**q - 2*o wrt o.
-40*o**3 - 156*o**2
Let w = -40 - -48. What is the third derivative of w*t**5 + 0*t**5 + 11*t**2 - 9*t**2 + 3*t**2 wrt t?
480*t**2
Let v(j) = -246*j**3 + 14*j - 272. Let l(c) = -82*c**3 + 5*c - 91. Let r(a) = 14*l(a) - 5*v(a). What is the first derivative of r(z) wrt z?
246*z**2
Suppose -5*s = -15, 0 = 4*x + s + 3*s - 24. Let p(g) be the first derivative of 3*g**3 + 1 - x + 3*g - 4*g**3 + g. Find the first derivative of p(c) wrt c.
-6*c
Differentiate -182 + 123 - 32*c + 22*c - 48*c wrt c.
-58
Suppose 0 = -4*j + 80 + 12. What is the derivative of -j*w**4 - 7 + 7 + 8 wrt w?
-92*w**3
Let k(a) be the first derivative of 347*a**7/7 - 2*a**3/3 - 6*a - 134. Find the third derivative of k(d) wrt d.
41640*d**3
Find the third derivative of -5*b**2 - 2*b**2 + b**3 - 4*b + 15*b**2 - 4*b**4 wrt b.
-96*b + 6
What is the third derivative of -24*d + 5*d + 21*d + 24*d**2 + 57*d**5 wrt d?
3420*d**2
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