p) = -8*p**4 - 3*p**3 + 52*p**2 - 15*p + 7. Let y(c) = -m(c) + 5*x(c). What is the third derivative of y(k) wrt k?
312*k + 48
Find the third derivative of 1495*s**6 - 9*s**3 + 36546*s**2 + 20 + 11*s**3 - 36467*s**2 wrt s.
179400*s**3 + 12
Let v = 4348 + -4348. Let a(s) be the third derivative of 0*s**3 + 0*s**4 + 11*s**2 + v*s - 7/30*s**5 - 1/120*s**6 + 0. Find the third derivative of a(z) wrt z.
-6
Suppose -150 = -5*w - 5*q, 4*w = -2*q + 51 + 79. Find the third derivative of -59 - k**2 + 111*k**5 + 111*k**5 - w*k**5 wrt k.
11220*k**2
Let q = 12961/8638 - 2/4319. Let i(b) be the first derivative of 24 + 0*b + q*b**2 + 5*b**3. What is the second derivative of i(h) wrt h?
30
Let a(q) be the first derivative of 94*q**5/5 - 271*q**3 + 154. What is the third derivative of a(o) wrt o?
2256*o
Let z(h) = -h**3 - 10*h**2 + 11*h + 27. Let t be z(-11). Suppose -4*q + 4*y = -16, 0 = 5*q + 2*y - 28 - t. Differentiate 2*r + q*r + 50 + 3*r - 48 wrt r.
14
Let w(v) be the third derivative of 26/35*v**7 + 0*v - 25/3*v**3 - 1/30*v**5 - 90*v**2 + 0*v**6 + 0 + 0*v**4. Find the third derivative of w(c) wrt c.
3744*c
Suppose 3*a + 11 = 5*c + a, -4*a + 20 = 4*c. Find the second derivative of 6 - c*z - 33*z**4 - 3 - 13*z**4 - 8*z**4 wrt z.
-648*z**2
Let r(h) be the third derivative of 1/60*h**5 + 0*h + 0 - 3/8*h**4 + 29/3*h**3 + 65*h**2. Differentiate r(z) wrt z.
2*z - 9
Suppose f - 121 = -5*n, 4*n + f - 3*f - 108 = 0. What is the first derivative of -36 - 48 - 29 - h**4 - 47 + 36*h**2 + n wrt h?
-4*h**3 + 72*h
Let w(x) be the second derivative of -1163*x**5/20 - 1345*x**2/2 - 2605*x. Differentiate w(b) with respect to b.
-3489*b**2
Let s(k) be the first derivative of -5246*k**3/3 - 19*k**2 - 46*k + 5783. Find the second derivative of s(f) wrt f.
-10492
Suppose 10*f = 2*f - 1656. Let l be 0/(-7) + ((-2)/2 - f). What is the derivative of l - 39*t**4 - 467 + 231 wrt t?
-156*t**3
Let j(o) be the first derivative of 4*o**3 - 3/2*o**4 - 32*o + 1/2*o**2 - 9. What is the second derivative of j(g) wrt g?
-36*g + 24
Let f be (-426)/4*(2/3)/1. Let d = f + 75. What is the third derivative of -81*a**d + 55*a**4 + 2 + 14*a**2 - 2 wrt a?
-624*a
Let h(m) be the second derivative of 2/5*m**5 + 1/12*m**4 + 0 + 227*m + 0*m**3 + 16*m**2. What is the third derivative of h(l) wrt l?
48
Let l be 208/34 - (6 - 500/85). Let t be l/(-18)*9/(-1). Find the third derivative of -45*b**2 + 5*b**2 - 35*b**6 - t*b**2 wrt b.
-4200*b**3
Find the third derivative of 178*j**3 - 707*j**2 - 764*j**2 - 140*j**3 + 563*j**3 wrt j.
3606
Find the second derivative of 595*d - 1760*d**5 + 3787*d**4 + 1516*d - 3787*d**4 wrt d.
-35200*d**3
Let u(i) be the third derivative of -167*i**7/210 + i**5/60 - 88*i**3 + 2*i**2 - 46. Differentiate u(p) with respect to p.
-668*p**3 + 2*p
What is the third derivative of -333*p**6 - 2050*p**2 + 1343 + 2049*p**2 - 1425*p**6 wrt p?
-210960*p**3
Let o(l) be the second derivative of 11*l**5/5 - 2*l**4 - l**3/6 + 389*l**2 + 3009*l. What is the second derivative of o(y) wrt y?
264*y - 48
Find the second derivative of -182*w**5 + w + 2*w**4 + 0*w**4 - 3*w**5 + 601*w**5 + 590 wrt w.
8320*w**3 + 24*w**2
Let l(z) = -16*z**3 - 52*z**2 + 4*z + 5303. Let u(p) = -17*p**3 - 65*p**2 + 4*p + 5303. Let d(r) = -5*l(r) + 4*u(r). What is the derivative of d(o) wrt o?
36*o**2 - 4
Suppose 5*f - 82 = 68. Let q = f - 28. Find the third derivative of -q*u + 10*u**3 + 2*u - 19*u**3 - 25*u**2 wrt u.
-54
Let w(m) be the second derivative of 19/6*m**4 + 20*m**2 + 1/20*m**5 + 0 + 21*m + 0*m**3. What is the first derivative of w(x) wrt x?
3*x**2 + 76*x
Suppose 22*z = 24*z - 76. Suppose z = -2*n + 40. What is the second derivative of -11*c + 12*c**3 - n + 1 - c wrt c?
72*c
What is the derivative of 17*b - 24*b - 26*b**4 - 8*b + 3*b + b - 275 wrt b?
-104*b**3 - 11
What is the first derivative of -1990 + 90*y**3 - 186*y**3 + 185*y**3 wrt y?
267*y**2
Find the third derivative of 7*b**2 + 219680092 - 186*b - 219680092 + 5587*b**4 wrt b.
134088*b
Let j(x) be the second derivative of 3643*x**5/20 + 257*x**4/12 + 2*x**3/3 - 4262*x. What is the third derivative of j(s) wrt s?
21858
Suppose -12 = 9*f - 66. Let w be (-15)/f*(-4)/5. Find the third derivative of -7*s**2 + 5*s**3 + 12*s**2 - 4*s**w wrt s.
30
Let u(z) be the third derivative of 0 - 225*z**2 + 0*z**4 - 54/35*z**7 + 0*z**5 + 0*z**6 + 4*z**3 + 0*z. Find the first derivative of u(j) wrt j.
-1296*j**3
Let p(h) be the first derivative of 123*h - 29536*h**3 + 29536*h**3 - 22 - 5*h**4. Find the first derivative of p(q) wrt q.
-60*q**2
Suppose 9 = -11*o + 12*o. Find the third derivative of -9 + o - 4*u**2 + 22 - 78*u**3 wrt u.
-468
Suppose -15*t + 5*t + 40 = 0. Suppose -4*g - 12 = 0, -t*i - 2*g = 3*g - 9. What is the third derivative of -3*b**6 - 15*b**6 + 3*b**2 + 9*b**i wrt b?
-1080*b**3
Let v(h) = -3*h + 17. Let m be v(-12). Suppose -5*f + m = 3*u, -f = 5*u + 5 - 20. Find the first derivative of 4*r**3 + 12*r**3 - f + 29 wrt r.
48*r**2
Let c = -3164 - -3167. Let g(r) be the first derivative of 0*r + 2 + 16/5*r**5 + 0*r**4 + 0*r**2 - 14/3*r**c. Find the third derivative of g(p) wrt p.
384*p
Let l(k) = 22*k - 35*k + k**3 + 15*k - 69 + 10*k**3. Let u(b) = b**3 - b + 2. Let n(d) = -l(d) - 2*u(d). What is the first derivative of n(x) wrt x?
-39*x**2
Suppose 5*q = 2*r + 4, 3 = 5*q - 4*r + 5. Find the third derivative of -49*p**3 - 22 + 11 + 21*p**q + 11 wrt p.
-294
Let i be (7/(-2) + 3)*(1 + -5). Suppose 0 = -x - w + i, 3*w + 9 = 2*x. What is the third derivative of -20*z**2 - 10*z**x + 5*z**3 + 8*z**3 wrt z?
18
What is the second derivative of -1760*o**2 + 281*o - 1213*o - 409*o + 5077*o**2 - 3096*o wrt o?
6634
Let b be -2 + 5 + -2*(-6)/(-12). Find the second derivative of -28*r + 2*r**b - 2*r**2 + 331*r**4 - 369*r**4 wrt r.
-456*r**2
Find the second derivative of -587 - d - 581 - 568 - 253*d**2 + 1664 wrt d.
-506
Let t(f) be the first derivative of 0*f**3 - 31/2*f**4 - 17 + 0*f**2 + 45*f. Differentiate t(u) wrt u.
-186*u**2
Let f be (-4)/(-8) - ((-3)/6 - 1). What is the derivative of 45*a**f - 13*a**2 - 86 + 30 wrt a?
64*a
What is the third derivative of -1070*v**2 + 5 - 3 + 11*v**3 - 6997*v**2 + 92*v**4 wrt v?
2208*v + 66
Let d be (-2 - 0) + (-10)/(-2). Differentiate -44*n**d + 3*n**2 - 83*n**3 + 44 - 3*n**2 with respect to n.
-381*n**2
Let b(y) = -y**2 + 10*y + 59. Let k be b(-4). What is the first derivative of -103*p**k - 26 - 54 + 4*p**2 - 15*p**2 + 9*p**2 wrt p?
-309*p**2 - 4*p
What is the first derivative of -1158*c**2 + 834 + 10978*c**2 + 110 - 3778 wrt c?
19640*c
Let s(m) be the third derivative of 4153*m**5/60 - 1748*m**3/3 + 8*m**2 - 204*m. Differentiate s(b) with respect to b.
8306*b
Let j(f) be the third derivative of 1111*f**6/120 + 5*f**4/8 + f**3/6 + 12*f**2 + 14. Find the second derivative of j(g) wrt g.
6666*g
Suppose 3*l = -3*g - 0*l - 27, 3*g - 2*l = -7. Let p be (8/g - -2)/(1/5). Differentiate 104*d**p - 104*d**2 + 34*d**3 - 34 wrt d.
102*d**2
Let m(j) be the first derivative of -7321*j**3/3 + 273*j + 7077. Differentiate m(x) with respect to x.
-14642*x
Let s(f) = 2*f + 30. Let v be s(8). Differentiate -42*p**3 + 67 + 89*p**3 + 5*p**4 - v*p**3 with respect to p.
20*p**3 + 3*p**2
Let x(r) be the third derivative of -31/30*r**5 + 0*r**4 + 65/3*r**3 + 0*r + 0*r**6 + 1/105*r**7 - 167*r**2 + 0. What is the derivative of x(j) wrt j?
8*j**3 - 124*j
Let k(r) = -7*r. Let s(a) = a. Let c(n) = k(n) + 6*s(n). Let f(h) = 89*h - 58. Let j(l) = -4*c(l) - f(l). What is the first derivative of j(o) wrt o?
-85
Find the second derivative of 17*g + 902*g**2 + 4790*g**2 - 33 - 662*g**2 wrt g.
10060
Let j(f) be the third derivative of -1123*f**5/12 + 1051*f**4/4 + 17*f**2 + 4*f + 4. Find the second derivative of j(c) wrt c.
-11230
Suppose 5*h + 5 = -0*o - 5*o, 3*o = 2*h - 13. What is the derivative of 33*d - 31*d - h*d**2 + 38 + 145 wrt d?
-4*d + 2
Let d(z) = -z**2 + 3*z + 52. Let j be d(8). Differentiate 21 + 0 - 2 - 87*x**4 + j with respect to x.
-348*x**3
Let o(u) = u**2 - 15*u + 19. Let g be o(14). Find the third derivative of -3*j**3 + 0*j**5 + j**2 + 2*j**3 - j**g + 3*j**2 - 3 wrt j.
-60*j**2 - 6
Let k(v) = 5419*v**2 + 5872*v - 8. Let r(z) = z**2 + 2. Let m(t) = k(t) + 4*r(t). Find the second derivative of m(w) wrt w.
10846
Let a(o) be the first derivative 