k.
-93*k**2
Let v(r) be the first derivative of -r**6/6 - 43*r**5/5 + 15*r**3 + 157. Find the third derivative of v(a) wrt a.
-60*a**2 - 1032*a
Let k(p) = -488*p**2 + 8*p + 66. Let x(c) = -c**2 - 4*c - 1. Let w(m) = k(m) + 2*x(m). Differentiate w(s) wrt s.
-980*s
Suppose -4*q = 2*k, 2*q - 8*k + 3*k - 24 = 0. What is the derivative of 22 - 6 - 8*v**q + 3*v**4 + 7*v - 7*v wrt v?
12*v**3 - 16*v
Let r be -4 - -3 - (1 - 2). Suppose -3*a + 2*a + 15 = r. What is the second derivative of 8*j + 10*j - a*j - 6*j**2 wrt j?
-12
Let l(r) = -r**4 + r**3 - r**2 + r - 3. Let d(w) = 4*w**4 - 5*w**3 - 51*w**2 + 2*w + 19. Let k(c) = d(c) + 5*l(c). Find the second derivative of k(m) wrt m.
-12*m**2 - 112
Let n be ((-94)/329)/((-2)/28). Let p(v) be the first derivative of 8 + 4*v**2 + 5/4*v**n + 0*v**3 + 0*v. What is the second derivative of p(f) wrt f?
30*f
Let h be 7/((-14)/(-8)) + 6. What is the third derivative of -12*x**2 - 9*x**2 - h*x**2 + 34*x**2 - 10*x**3 wrt x?
-60
Find the third derivative of -4 - 8*n**2 + 14*n**2 + 2 + 169*n**6 + 3*n**2 wrt n.
20280*n**3
Suppose -2*d - 4*c + 47 = 3*d, -3*c = d - 16. Suppose o - 6*p - d = -5*p, 2*p + 29 = 5*o. What is the first derivative of -3 - 4*l**3 + 0 + o*l**3 wrt l?
3*l**2
Let m(i) be the first derivative of i**5/5 - 251*i**4/2 - 646*i**3/3 + 307. What is the third derivative of m(v) wrt v?
24*v - 3012
Let l(n) be the second derivative of -n**8/7 - n**5/20 - n**4/4 + 4*n**2 - 2*n - 11. What is the third derivative of l(h) wrt h?
-960*h**3 - 6
Let t(j) = j + 13. Let i be t(-10). Suppose 6*o - 6 = i*o. What is the second derivative of o*k + 3*k + 9*k**4 - 14*k**4 wrt k?
-60*k**2
Let j(l) = 253*l - 136. Let d(q) = -254*q + 130. Let n(w) = 4*d(w) + 5*j(w). Find the first derivative of n(s) wrt s.
249
Let q(d) be the third derivative of -41*d**5/30 - 277*d**3/6 + 127*d**2 + 1. What is the derivative of q(k) wrt k?
-164*k
Let c be 2 - 6/(0 - 2). Let g(a) be the first derivative of -6*a + 0*a**3 - c - 2/5*a**5 + 0*a**2 + 0*a**4. Differentiate g(x) wrt x.
-8*x**3
Suppose 0 = 15*o - 12*o - 6. Suppose 0 = 5*i - 12 + o. Differentiate -10 + m**i + 7 - 5*m**2 with respect to m.
-8*m
What is the second derivative of 49*t**2 + 150*t**3 + 1 - 77*t - 49*t**2 wrt t?
900*t
Let j(c) = c**2 - 4. Let z be j(3). Suppose -x + 3*h + 0 = 3, -21 = -z*x - 3*h. What is the third derivative of 12*s**4 + x*s**2 + 4*s**4 - 14*s**4 wrt s?
48*s
Let r be (-2)/(-9) + 50/18. Let y be r/4 + 5/4. What is the third derivative of v**5 + v**2 + 6*v**y + 0*v**5 - v**2 wrt v?
60*v**2
Let b(n) be the third derivative of -n**6/36 - n**5/40 + 7*n**3/6 - 7*n**2. Let o(d) be the first derivative of b(d). Find the second derivative of o(q) wrt q.
-20
What is the third derivative of 4*c - 6*c**2 + 57*c**4 - 15*c - 28*c + 8*c**2 wrt c?
1368*c
Let r be (-1*1)/((-3)/48). Suppose 0 = 4*w - 2*l - r, -6*w + 4*l = -w - 26. Find the third derivative of -7*m**2 - 4*m**5 + w*m**2 - m**5 + 4*m**5 wrt m.
-60*m**2
Find the third derivative of -186*f**2 + 7 + 168*f**5 - 14 + 7 - 135*f**2 wrt f.
10080*f**2
What is the second derivative of 1 - 8*u**4 + 14*u**4 - 7*u**3 - 7*u**4 - 38*u - 47*u wrt u?
-12*u**2 - 42*u
Let b(u) be the second derivative of -u**7/42 + 11*u**5/20 - 35*u**3/6 - u**2/2 + 119*u + 2. What is the second derivative of b(v) wrt v?
-20*v**3 + 66*v
Suppose 5*i = 18 + 2. Let k(g) = 7*g**2 - 1. Let c be k(-1). Find the first derivative of 2*u**i + 2 + 3*u**4 - c*u**4 wrt u.
-4*u**3
Let a(h) be the third derivative of 0*h**4 - 1/8*h**6 + 0 + 0*h + 2*h**3 + 14*h**2 + 0*h**5. What is the first derivative of a(x) wrt x?
-45*x**2
Suppose 0 = -d - 2*g, -d + 0*g - 20 = -2*g. Let a be (-321)/(-15) + 4/d. What is the third derivative of -23*x**2 - 8*x**5 + a*x**2 + 2*x**5 wrt x?
-360*x**2
Let y(b) = 192*b**2 + 74*b - 4. Let t(c) = 194*c**2 + 77*c - 5. Let j(h) = 4*t(h) - 5*y(h). What is the second derivative of j(z) wrt z?
-368
Let x(n) be the first derivative of 13/2*n**2 - 59 - 18*n**3 + 0*n. Find the second derivative of x(a) wrt a.
-108
Let o(a) be the third derivative of -25*a**8/84 - 139*a**4/12 + 220*a**2. What is the second derivative of o(u) wrt u?
-2000*u**3
Let a(o) = o**2 - o + 10. Let l be a(0). Find the first derivative of -l*s**2 - 18*s**2 + 13 + 0*s**2 wrt s.
-56*s
Let w = -76 + 98. What is the third derivative of -2*j**5 + w*j**3 - 17*j**2 + 25*j**3 - 43*j**3 wrt j?
-120*j**2 + 24
Let a(x) be the third derivative of -179*x**4/12 + 17*x**3/6 - 625*x**2. Differentiate a(r) with respect to r.
-358
Find the second derivative of 56*z**4 - z**2 + z**2 - 155*z**4 + 515*z - 29*z wrt z.
-1188*z**2
Let y(u) be the third derivative of -59*u**5/10 - 17*u**4/6 + 27*u**2 + 3*u. What is the second derivative of y(q) wrt q?
-708
Find the first derivative of -26*d + 203 + d + 13*d + 3*d**2 wrt d.
6*d - 12
Suppose 0 = 2*q + q - 12. Suppose 2*n = q*f + 52, 3*n - 5*f - 74 = 2. Find the second derivative of -4*v**2 + 22 - 4*v - n wrt v.
-8
Find the second derivative of -79*y - 1 + 81*y + 14*y**2 + 4 - 2 wrt y.
28
Let v(l) = l**4 + l**2 - l - 1. Let u(j) = 2*j**5 + 3*j**4 + 15*j**3 - 73*j**2 - 3*j - 3. Let w(c) = -u(c) + 3*v(c). What is the third derivative of w(b) wrt b?
-120*b**2 - 90
Let v(c) be the second derivative of 0 - 4*c + 0*c**3 + 1/56*c**8 + 5/12*c**4 + 0*c**7 + 0*c**5 + 0*c**2 + 0*c**6. Find the third derivative of v(t) wrt t.
120*t**3
Let f = 94 - 84. Find the third derivative of 14*s**4 + 14*s**2 + 10 + 19*s**4 - f wrt s.
792*s
Suppose 4*t - 13 = 7. Find the third derivative of -48*g**2 - 47*g**5 + 12*g**2 + 3*g**5 - t*g**2 wrt g.
-2640*g**2
Suppose 2 = -2*s + 18. What is the third derivative of -4 - 3*c**3 + 4 + 22*c**3 + s*c**2 wrt c?
114
Let u(q) be the first derivative of -66*q**3 - 65*q**2/2 + 4*q - 47. What is the second derivative of u(b) wrt b?
-396
Let w(z) be the third derivative of 58*z**7/21 - 76*z**3/3 + 491*z**2. Differentiate w(h) with respect to h.
2320*h**3
Let u = -21 + 28. What is the third derivative of 19*y**2 + 5*y**4 + 7*y**4 - 28*y**2 + u*y**4 wrt y?
456*y
Let j(g) = -g**3 - 6*g**2 + 6*g - 6. Let v be j(-7). Suppose 9 - v = 2*l. Find the first derivative of l*f**3 - 1 + 1 - 6*f**3 - 5 wrt f.
-6*f**2
Suppose 2096 = 8*x - 9968. Find the third derivative of 25*v**2 - 1508*v**4 + x*v**4 + 4*v**5 wrt v.
240*v**2
Suppose -3*p - u = -45 - 2, 53 = 3*p + 4*u. Differentiate -p + 120*i**3 - 3 - 117*i**3 wrt i.
9*i**2
Let a(g) be the first derivative of 4*g**7/105 + 3*g**4/4 - 13*g**2/2 + 16. Let i(y) be the second derivative of a(y). Find the second derivative of i(f) wrt f.
96*f**2
Let v be (-2 - -5 - -2) + (-3)/(-3). What is the second derivative of 21*w**2 + v*w + 2*w + 3*w + 6*w wrt w?
42
Let o(s) be the second derivative of 0 + 23/12*s**4 - 11/20*s**5 + s + 0*s**2 + 0*s**3. What is the third derivative of o(w) wrt w?
-66
Let y(q) be the third derivative of 0*q**6 + 0 + 0*q**5 + 0*q + 3/2*q**3 - q**2 + 0*q**4 + 3/70*q**7. Differentiate y(x) wrt x.
36*x**3
Let v(s) be the second derivative of s**8/560 - 2*s**6/45 + 3*s**3 - 9*s. Let k(t) be the second derivative of v(t). Find the third derivative of k(u) wrt u.
72*u
Let c(b) = -b**5 - b**3 - b**2 + 2. Let k(o) = 157*o**5 + 2*o**3 + 8*o**2 + 8*o - 4. Let a(n) = 2*c(n) + k(n). Find the third derivative of a(r) wrt r.
9300*r**2
What is the third derivative of -78*y**4 + 221*y**4 + y**2 - 5*y**3 + 520*y - 73*y**4 - 71*y**4 wrt y?
-24*y - 30
Let i be (-2)/(-8)*2*6. What is the third derivative of -11*q**3 + q**2 + 6*q**3 + 0*q**i wrt q?
-30
Suppose -3 + 1 = -j. Find the second derivative of -j*y**5 - 67*y - 2*y**5 + 72*y wrt y.
-80*y**3
Suppose 0 = 23*j + 2 - 71. Let v(d) be the second derivative of 1/5*d**5 + 0*d**2 - 2/3*d**3 + 0 + 0*d**4 + j*d. Find the second derivative of v(h) wrt h.
24*h
Suppose z - 5*b = 47, 3*b - 4*b = 5*z - 209. What is the third derivative of -214 - z*c**2 - 36*c**6 + 214 wrt c?
-4320*c**3
Suppose -6 = 2*i - 8. Let d(w) = w**4 - w**2 - w. Let h(r) = -32*r**4 + 2*r**2 + 2*r + 20. Let z(k) = i*h(k) + 2*d(k). Differentiate z(s) wrt s.
-120*s**3
Let u(f) = 5*f**2 - f + 3. Let l be u(3). Let s = -37 + l. Differentiate -4*y**3 - s*y**3 - 4 + 2*y**3 wrt y.
-30*y**2
Let a be 34 - 38 - (-26)/6. Let g(o) be the third derivative of 0*o + o**2 - 7/24*o**4 + 0 + a*o**3. Find the firs