ppose -5*j = -12 - 3. Find the third derivative of 8*m**2 - 2*m**3 + m**j + m**3 - 10*m**6 wrt m.
-1200*m**3
Let y be 154*(45/6 + -4). Let f = y - 103. Find the first derivative of 6 + f*q - 436*q + 8*q**2 wrt q.
16*q
What is the third derivative of 196*v**5 + 411*v**2 + 30*v - 379*v**2 - 24*v wrt v?
11760*v**2
Let i(m) be the second derivative of 0 + 0*m**3 + m + 5/2*m**2 - 7/6*m**4. Find the first derivative of i(l) wrt l.
-28*l
Let m(d) = 26*d**4 - 4*d**3 + 10*d**2. Let u(f) = -105*f**4 + 18*f**3 - 40*f**2 - f. Let t(a) = -9*m(a) - 2*u(a). Find the third derivative of t(w) wrt w.
-576*w
Let w(j) = -2*j. Let u be w(1). Let z = u + 2. Find the second derivative of -4*t + z*t**4 + 10 - 10 - 3*t**4 wrt t.
-36*t**2
Let z(y) be the first derivative of -21*y**5/5 - 92*y - 102. Find the first derivative of z(m) wrt m.
-84*m**3
Let o(v) be the first derivative of -11*v**6/120 - 31*v**5/60 + v**2 + 6. Let q(p) be the second derivative of o(p). What is the third derivative of q(k) wrt k?
-66
Suppose -3*f = -2*s - 2*f + 3, 3*f = -3*s - 9. Suppose s*l + 12 = 3*l. Find the first derivative of -3*n**2 - l - n**2 + 0 - 1 wrt n.
-8*n
Let q be -2 + 1*(3 + 3). What is the third derivative of 33*h**2 - 13*h**2 - 11*h**2 + 14*h**q wrt h?
336*h
Let m(g) be the third derivative of -g**3/6 + 4*g**2. Let a(o) = 8*o**2 + 12. Let n(w) = -a(w) - 2*m(w). What is the first derivative of n(d) wrt d?
-16*d
Let j(x) = -x - 14. Let a be j(-16). Suppose i = a*n - 2*i - 20, -i = -2*n + 12. Find the second derivative of -8*h - 20*h**4 + 38*h**4 - 8*h**n wrt h.
120*h**2
Let h(t) be the third derivative of -17*t**7/70 + 61*t**5/30 - 68*t**2. What is the third derivative of h(m) wrt m?
-1224*m
Differentiate -50*h**4 + 3 + 10 - 18*h**4 wrt h.
-272*h**3
Let v(y) = 67*y**5 - 73*y**2 + 12*y - 6. Let s(a) = 134*a**5 - 146*a**2 + 26*a - 13. Let t(c) = -6*s(c) + 13*v(c). What is the third derivative of t(o) wrt o?
4020*o**2
Let d(j) = j**2 - j. Let n(i) = 3*i + 0*i**3 - i**2 + 4*i - i**2 + 21*i**3. Let y(b) = 2*d(b) + n(b). Find the second derivative of y(q) wrt q.
126*q
Let c(d) be the first derivative of -69*d**4/4 - 63*d + 119. What is the derivative of c(n) wrt n?
-207*n**2
Let y(o) = o**3 + o**2 + o - 1. Let u = 41 - 42. Let b(v) = -26*v**3 - 5*v**2 - 5*v - 15. Let w(t) = u*b(t) - 5*y(t). Differentiate w(j) with respect to j.
63*j**2
Let b = -139 + 697/5. Let l(w) be the first derivative of 0*w**3 + 0*w**4 - 4 - b*w**5 + 0*w + 1/2*w**2. What is the second derivative of l(k) wrt k?
-24*k**2
Let c(a) be the first derivative of 0*a - 12 + 0*a**2 + 2*a**4 - 8/3*a**3. Find the third derivative of c(x) wrt x.
48
Let y(c) be the third derivative of -c**7/70 - 4*c**6/15 - 67*c**5/12 - c**2 + 3. Find the third derivative of y(d) wrt d.
-72*d - 192
Let b(m) = 4*m + 9. Let u(f) = -7*f - 19. Suppose -4 + 28 = 4*p. Let r(q) = p*u(q) + 13*b(q). Differentiate r(t) wrt t.
10
Let g(c) = -3*c**4 - 11*c**3 - 3*c**2 - 3*c + 201. Let o(l) = l**4 + l**3 - l**2 - l + 3. Let d(k) = -g(k) + 3*o(k). Find the first derivative of d(q) wrt q.
24*q**3 + 42*q**2
Suppose 7*i = 4*i. Suppose -5*v + i*v + 20 = 0. Differentiate 2 - j + j - v*j**3 + 0 wrt j.
-12*j**2
Let g(u) = 32*u**4 - 3*u**3 + 4*u + 93. Let t(q) = -30*q**4 + 4*q**3 - 5*q - 94. Let j(s) = -4*g(s) - 3*t(s). Differentiate j(p) wrt p.
-152*p**3 - 1
Let t(n) be the second derivative of -n**6/15 - 17*n**4/3 + 73*n**2 + 16*n - 10. What is the derivative of t(w) wrt w?
-8*w**3 - 136*w
Let v(l) be the third derivative of -23*l**4/12 - 67*l**3/3 - 3*l**2. Differentiate v(q) with respect to q.
-46
Let y = 1 - -2. Suppose -2*i = -2*a - 14, 4*i + 2*a - 3 = -5. Differentiate -y*v**2 + 4 - i*v**2 + 8*v**2 wrt v.
6*v
Find the third derivative of 706*i**3 - 27*i**2 - 706*i**3 + 45*i**6 + 25*i**2 + 360*i wrt i.
5400*i**3
Find the third derivative of 8 - 8 + 28*s - 366*s**5 + 105*s**2 - 117*s**2 wrt s.
-21960*s**2
Suppose t = -5*c + 13, c + 2*t + 1 = -0. Suppose -3*j + 5*r = -42, 0*j - r + 24 = c*j. Find the second derivative of n**5 + 2*n + 5*n + j*n**5 - n wrt n.
200*n**3
Let b(a) = a - 4. Let f be b(4). Suppose 302 = 31*z - 70. Find the second derivative of 0 + f - z*m**4 - 45*m + 56*m wrt m.
-144*m**2
What is the third derivative of 0*h**2 + 2*h**4 - 11 + 3 + 0 - 30*h**6 - 2*h**2 wrt h?
-3600*h**3 + 48*h
Let s(q) = 9*q**4 + 9*q**3 - 6*q**2 - 9*q. Let d(j) = 2*j**3 - 2*j + 3*j - 2*j - j**3. Let y(p) = -9*d(p) + s(p). What is the third derivative of y(r) wrt r?
216*r
Suppose -38*p = -34*p - 1296. What is the second derivative of 14*u**4 + p*u + 23*u**4 - 319*u wrt u?
444*u**2
Let b(c) be the third derivative of 0*c**7 + 0*c**5 - 16*c**2 + 25/24*c**4 + 0*c**3 - 1/16*c**8 + 0*c**6 + 0*c + 0. What is the second derivative of b(n) wrt n?
-420*n**3
Let x = -945 + 945. Let r(v) be the first derivative of v + 9 - 1/5*v**5 + 0*v**2 + x*v**4 + 0*v**3. What is the derivative of r(n) wrt n?
-4*n**3
Let a(q) be the third derivative of 23*q**6/24 - 31*q**4/24 - 55*q**2. Find the second derivative of a(w) wrt w.
690*w
Let v(c) = 4*c**5 + 78*c**3 + 3*c + 2. Let s(q) = -q**5. Let w(p) = 3*s(p) + v(p). What is the second derivative of w(m) wrt m?
20*m**3 + 468*m
Suppose 42 = -5*h + 32. Let m(k) = 40*k - 29. Let p(x) = -120*x + 87. Let d(j) = h*p(j) - 7*m(j). What is the derivative of d(g) wrt g?
-40
Let w(r) be the first derivative of 36*r**7/7 - r**3/3 - 13*r**2 + 6. What is the third derivative of w(q) wrt q?
4320*q**3
Let k(d) = d**3 + 9*d**2 - d - 9. Let t be k(-8). What is the derivative of -5*v**3 - 58*v + 45 + 121*v - t*v wrt v?
-15*v**2
What is the second derivative of 23*f - 7121*f**2 - 261*f**5 + 7121*f**2 - 7 wrt f?
-5220*f**3
Let p(g) = -g**3 - 4*g**2 - 2*g + 1. Let h be p(-5). Suppose 0*y - h = -6*y. Find the third derivative of -y*z**2 - 8*z**3 + 3*z**2 + 19 - 19 wrt z.
-48
Let g(m) = -m - 6. Let c be g(-11). Find the third derivative of -16*h**c + 7*h**2 + 9*h**2 - 3*h**2 wrt h.
-960*h**2
Let v(o) = 6*o + 9. Let b(n) = -4*n - 6. Let i be 3/(-4) + (-51)/(-4). Suppose -i = 5*p + 28. Let y(f) = p*b(f) - 5*v(f). Differentiate y(g) wrt g.
2
Let t = 1 - -1. Let g be (-4)/5*(-140)/56. What is the third derivative of -8*z**5 + 3*z**5 - 21*z**t + 12*z**2 + g*z**2 wrt z?
-300*z**2
Let t = -1 + 3. Suppose 0*k + k - 2 = 0. Differentiate -k*n - 1 + t*n + 4*n**3 + 3 with respect to n.
12*n**2
Let o(h) = -9*h**4 + 5*h**3 - 107*h. Let i(q) = 5*q**4 - 2*q**3 + 53*q. Let s(u) = 5*i(u) + 2*o(u). Find the second derivative of s(g) wrt g.
84*g**2
Let o(r) be the first derivative of 5*r**6/2 + 15*r**3 + 2*r + 115. What is the third derivative of o(j) wrt j?
900*j**2
Let s = 7 + 10. Find the second derivative of 1 - 3*v**4 - 2*v**4 + v**2 - s*v**4 + 49*v - 5*v**4 wrt v.
-324*v**2 + 2
Let f(o) be the third derivative of o**6/24 - 47*o**5/30 + o**4/6 - 3*o**3/2 + 345*o**2. Find the second derivative of f(k) wrt k.
30*k - 188
Find the first derivative of 4 - 71 - 3*c**2 + 2*c**2 + 4 - 14*c**3 wrt c.
-42*c**2 - 2*c
Let y(g) be the first derivative of 291*g**2/2 - 110*g + 334. Differentiate y(a) with respect to a.
291
Let o = 5 + -3. Find the third derivative of 8*m**6 + 8*m**6 + m**o - 17*m**6 - 5*m**2 wrt m.
-120*m**3
Let p be -5*(0 - 1)*1. Suppose 0 = -p*f + 11 + 64. Find the third derivative of 4*y**5 + f*y**2 - 13*y**2 - 2*y**5 wrt y.
120*y**2
Find the third derivative of -1137*u**2 - 1 + 4 - u**4 + 42*u**3 + 1134*u**2 + 0*u**3 wrt u.
-24*u + 252
Differentiate -580 - 16*u**2 - 56*u**3 - 13*u**2 + 45*u**2 - 14*u**2 + 176*u**3 with respect to u.
360*u**2 + 4*u
Let j(d) = 8*d + 51. Let n(g) = -8*g - 50. Let m(q) = -6*j(q) - 5*n(q). What is the first derivative of m(o) wrt o?
-8
Let i(p) be the third derivative of -p**7/70 - p**6/60 - 14*p**5/15 - p**4/8 + 164*p**2. Find the third derivative of i(r) wrt r.
-72*r - 12
What is the second derivative of 12*i**2 + 9*i**2 + 7 - 3*i**3 - 2 + 14*i**2 - 28*i**2 - 9*i wrt i?
-18*i + 14
Let c(n) be the second derivative of -3/7*n**7 - 13/3*n**3 + 0*n**5 + 0*n**2 + 0*n**4 + 0*n**6 + 20*n + 0. What is the second derivative of c(x) wrt x?
-360*x**3
Let g = -2 - -12. Find the first derivative of -7*a**2 + 4*a**3 - g + 7*a**3 + 7*a**2 wrt a.
33*a**2
Let l(g) be the first derivative of 13*g**4/12 + g**2/2 + 15*g + 18. Let z(y) be the first derivative of l