Let l(r) = -55*r**3 + 62*r**2 - 5*r - 5. Let m(q) = 57*q**3 - 61*q**2 + 6*q + 6. Let c(g) = -6*l(g) - 5*m(g). What is the third derivative of c(z) wrt z?
270
Let k(b) be the first derivative of b**8/56 - 19*b**5/30 - 9*b**2 + 33. Let y(m) be the second derivative of k(m). Find the third derivative of y(w) wrt w.
360*w**2
Find the third derivative of 16*f**4 - 107*f**2 + 17*f**4 + 13*f**4 wrt f.
1104*f
Suppose -p - 4*d = p - 22, -1 = -3*p + 2*d. Find the second derivative of -6*g**5 + p*g**5 + 10*g - 11*g wrt g.
-60*g**3
Let t = 141 + -76. What is the third derivative of 0 - 53*z**6 + t*z**6 + 0 + 9*z**2 wrt z?
1440*z**3
Suppose 0 = -4*g - 5 + 37. Differentiate g + 5 + 4*p**3 - 2 with respect to p.
12*p**2
Let k(v) = -v - 16. Let h be k(-21). What is the derivative of 11*s**3 - 25*s**3 + 12*s**3 + 7*s**3 - h wrt s?
15*s**2
Let y(a) be the first derivative of -41*a**5/20 - a**2/2 + 44*a + 30. Let m(k) be the first derivative of y(k). What is the derivative of m(v) wrt v?
-123*v**2
Suppose 4*a - 13 = -m, 2*m + 0*a = -a + 12. What is the third derivative of -15*k**m - 21*k**5 - 15*k**2 + 13*k**5 wrt k?
-1380*k**2
Let s(q) = -89*q - 33. Let h(r) = -533*r - 186. Let i(m) = 4*h(m) - 26*s(m). Differentiate i(l) wrt l.
182
Suppose w - 3 = 2*g - 4, 1 = -w. What is the third derivative of 0*l - 8*l**2 + g*l - 9*l**4 + 15*l**4 wrt l?
144*l
Let n(r) = -420*r - 1714. Let p(z) = -139*z - 571. Let j(m) = 5*n(m) - 16*p(m). What is the first derivative of j(h) wrt h?
124
Let g(m) = 795*m**3 + 30*m**2 - 6*m + 3. Let z(j) = 2388*j**3 + 91*j**2 - 19*j + 10. Let y(o) = -19*g(o) + 6*z(o). What is the third derivative of y(k) wrt k?
-4662
Find the third derivative of -13*b**2 + 44*b**5 + 8*b**6 + 2*b**5 - 10*b**6 - 26*b**2 wrt b.
-240*b**3 + 2760*b**2
Let t be (-26)/(-13) + (-2)/(-1). Differentiate 4*o**4 - 17*o**4 - 27 + 30*o**t with respect to o.
68*o**3
Let t(o) = -14*o**2 + 37. Let j(i) = 15*i**2 - 38. Let z(x) = -2*j(x) - 3*t(x). Differentiate z(g) wrt g.
24*g
Let t = -290 - -296. Let s(u) be the first derivative of 0*u + 3 + 0*u**5 + 0*u**2 + u**3 + 5/6*u**t + 0*u**4. Find the third derivative of s(f) wrt f.
300*f**2
Let u(c) be the second derivative of 0*c**2 - 32*c - 1/3*c**3 + 0 + 31/12*c**4. Find the second derivative of u(o) wrt o.
62
Let i(s) = 72*s**3 - 5*s**2 + 137*s - 5. Let f(v) = 71*v**3 - 6*v**2 + 135*v - 6. Let x(l) = 5*f(l) - 6*i(l). What is the second derivative of x(k) wrt k?
-462*k
Let w(k) = 3*k - 7. Let s be w(7). What is the first derivative of -10*o**2 + 0*o - o + s + o wrt o?
-20*o
Let d(s) = -s**3 - s**2 - 5*s - 1. Let v(a) = -288*a**3 + a**2 + 16*a - 26. Let m(i) = -2*d(i) - v(i). What is the second derivative of m(j) wrt j?
1740*j + 2
Let p(u) = -75*u**4 + 2*u**3 + 2*u + 137. Let v(z) = 75*z**4 - 3*z**3 - 3*z - 137. Let b(h) = 3*p(h) + 2*v(h). What is the derivative of b(g) wrt g?
-300*g**3
Let m(w) be the second derivative of 1/21*w**7 + 0*w**5 + 0*w**3 - 2*w - 1/10*w**6 + 11/12*w**4 + 0*w**2 + 0. Find the third derivative of m(s) wrt s.
120*s**2 - 72*s
Let b(o) be the first derivative of 70*o**4 - 94*o - 826. What is the derivative of b(q) wrt q?
840*q**2
Let b(x) be the third derivative of -281*x**4/24 + 200*x**3/3 + 335*x**2. What is the derivative of b(l) wrt l?
-281
Differentiate 361 + 282 + 2*r - 89*r**4 - 484 wrt r.
-356*r**3 + 2
Let g(u) = 219*u - 217. Let r(m) = 146*m - 145. Let y(j) = 5*g(j) - 7*r(j). What is the first derivative of y(x) wrt x?
73
Let i(t) be the third derivative of -13/60*t**5 + 0*t - 1/56*t**8 + 0*t**4 + 9*t**2 + 0*t**6 + 0*t**3 + 0 + 0*t**7. What is the third derivative of i(g) wrt g?
-360*g**2
Let s be 26/10 - (-14)/35. Let k be s - (-1 + (-3 - -3)). Find the second derivative of 9*t + 2*t - 4*t + k*t**3 wrt t.
24*t
Find the second derivative of -638 - 629 + 1267 + 222*r + 44*r**4 wrt r.
528*r**2
Let p(s) be the first derivative of 19*s**8/28 + 2*s**4/3 - 38*s + 28. Let m(r) be the first derivative of p(r). Find the third derivative of m(c) wrt c.
4560*c**3
Let r = 85 - 81. Find the third derivative of -4*d**4 - 15*d**r + 6*d**4 + d**2 - 6*d**4 wrt d.
-456*d
Suppose k - 13 = -2*h, 2*h + 89 = k + 4*k. What is the derivative of 36 - 13*r + 2*r - k*r + 2*r**4 wrt r?
8*r**3 - 28
Let t(l) = 200*l**3 - 259*l**2 - 6*l. Let b(d) = 201*d**3 - 261*d**2 - 5*d. Let y(g) = -6*b(g) + 5*t(g). What is the third derivative of y(a) wrt a?
-1236
Let t(d) = d**3 - 4*d**2 + 4*d + 1. Let q be t(3). Suppose 13 = q*f + 1. What is the third derivative of 3*s**2 - 5*s + f*s + 2*s + s**3 wrt s?
6
Suppose -3*k - 5*g = -26, -5*k - 4 - 2 = -4*g. Differentiate k - 10 - 13 - 2 + 33*p with respect to p.
33
Let c(l) be the third derivative of -203*l**6/60 - 221*l**4/24 - l**3/6 - 143*l**2 - 1. Find the second derivative of c(g) wrt g.
-2436*g
Let h(j) be the first derivative of -j**4/4 - j**3/3 - j**2/2 + 4*j + 2. Let t be h(0). What is the third derivative of -2*w**6 - w**2 + 4*w**2 - t*w**2 wrt w?
-240*w**3
Let n(r) = 3*r**3 + 39*r + 5. Let l(v) = 6*v**3 + v**3 - 9*v**3 + 21*v - 61*v - 6. Let w(j) = 5*l(j) + 6*n(j). What is the second derivative of w(a) wrt a?
48*a
Let l(g) = g**2 + g - 2. Let d(k) = 670*k**2 + 17*k - 30. Let h(s) = d(s) - 7*l(s). Find the second derivative of h(o) wrt o.
1326
Let f(p) = 1189*p**3 - 24*p**2 - 22*p + 11. Let u(j) = -594*j**3 + 12*j**2 + 12*j - 6. Let t(s) = 6*f(s) + 11*u(s). What is the third derivative of t(h) wrt h?
3600
Let v = 23 + -20. Let o(x) be the second derivative of -4*x + 5*x**3 + 4*x**2 - v*x**3 + x - x**3. Differentiate o(c) wrt c.
6
What is the second derivative of -11738*r**4 + 5872*r**4 + 2*r**5 - 61*r**2 + 189*r - 2 + 5866*r**4 wrt r?
40*r**3 - 122
Let o(h) = -2*h**3 - h**2 - 1. Let m(q) = -488*q**5 - 12*q**3 - 6*q**2 - 545*q - 6. Let v(g) = m(g) - 6*o(g). Find the second derivative of v(s) wrt s.
-9760*s**3
Suppose 3*b - 293 = -5*d, 0 = b - 5*b - 16. What is the third derivative of 10*c**2 - d*c**2 - 5*c**4 + 24*c**2 wrt c?
-120*c
Let t be 177/15 - 2/(-10). Suppose -8*a + t = -2*a. Find the first derivative of 14 + a*u - 2*u - 13*u wrt u.
-13
What is the second derivative of -1011*t**3 + 13 - t - 15 + 772*t**3 wrt t?
-1434*t
What is the second derivative of 14 + 183*k**4 + 14*k + 15*k - 43*k + 13*k wrt k?
2196*k**2
Let h(c) be the third derivative of -c**5/60 + 37*c**4/24 + 163*c**3/3 + 332*c**2. What is the first derivative of h(m) wrt m?
-2*m + 37
Let g be ((0 - 4) + 3)*0. Suppose -2*x = -x - 10. What is the first derivative of -2 + x*k + g - 14*k wrt k?
-4
Let b(m) = 2*m - 18. Let g(v) = -v + 1. Let r(s) = -b(s) - g(s). Let h be r(14). Find the second derivative of 4*n + n**3 + 7*n**3 + 2*n - 3*n**h wrt n.
30*n
Let t(w) be the third derivative of -11/60*w**5 + 47*w**2 + 0 - 1/8*w**4 - w - 17/6*w**3. What is the second derivative of t(g) wrt g?
-22
Let g(v) be the first derivative of -7*v**4/6 + 3*v**3/2 - 3*v + 17. Let n(y) be the first derivative of g(y). Find the second derivative of n(a) wrt a.
-28
Let q(j) = 15*j + 6. Let f be q(1). Find the first derivative of u**2 + 23*u**2 + f + 3 wrt u.
48*u
Differentiate 6 + 143*q**2 - 193*q**2 - 4*q**4 + 267 with respect to q.
-16*q**3 - 100*q
Let y(d) be the third derivative of d**6/60 - d**5/20 - 2*d**4/3 - 7*d**2 + d. What is the second derivative of y(h) wrt h?
12*h - 6
Find the third derivative of 593*g**6 + 133*g**6 - 237*g**2 + 88*g**2 - 171*g**2 - 152*g**6 wrt g.
68880*g**3
Let s(m) = -m**3 - 16*m**2 + 15*m - 28. Let d be s(-17). Find the first derivative of -15 - d*o**2 + 40 - 12*o**2 - 14*o**2 wrt o.
-64*o
Let d(m) be the third derivative of m**6/72 + m**4/12 + 2*m**3/3 - 8*m**2. Let p(w) be the first derivative of d(w). What is the derivative of p(l) wrt l?
10*l
Differentiate 48 - 11*k + 14 - 25*k**3 + 11*k with respect to k.
-75*k**2
Suppose 13 = 3*d + 1. Let m(p) be the first derivative of -1/2*p**d + 0*p**2 - 4/3*p**3 + 0*p - 3. Find the third derivative of m(r) wrt r.
-12
Let o(w) = -71*w**4 + 3*w**2 - 116*w - 3. Let u(y) = 142*y**4 - 7*y**2 + 231*y + 7. Let i(m) = -7*o(m) - 3*u(m). Find the second derivative of i(g) wrt g.
852*g**2
Let k(j) be the first derivative of 17/5*j**5 + 5*j**3 + 0*j**2 + 0*j**4 + 0*j + 13. Find the third derivative of k(o) wrt o.
408*o
Suppose -h + 12*h - 143 = 0. Differentiate 127*p - h - 31*