823*f**3 + 2 + 2131*f + 91*f**2 - 139*f wrt f.
-33270
Find the third derivative of -480445*n**5 + 8*n**4 + 480489*n**5 + 25*n**2 - 373*n**2 wrt n.
2640*n**2 + 192*n
What is the second derivative of 5*c**2 + 48*c**5 - 3913*c - 422*c**3 - 422*c**3 + 321*c - 8*c**2 + 842*c**3 wrt c?
960*c**3 - 12*c - 6
Suppose 11*a = 10*a + 4. Let u = 0 - -2. Differentiate -14*g**4 - 178 + 159 - u*g**a with respect to g.
-64*g**3
Let z(i) = 2196*i**3 - 5*i**2 + 4*i - 20. Let t(o) = o + 1. Let s(n) = -4*t(n) + z(n). Find the third derivative of s(v) wrt v.
13176
Let y(h) be the first derivative of 656*h**4 + 16*h**3 - 5*h + 10885. Find the third derivative of y(r) wrt r.
15744
Let u be (-645)/(-45) + (9/(-54))/(2/(-8)). Let s(o) be the third derivative of 14/3*o**3 - 5/24*o**4 + 0 + u*o**2 + 0*o. What is the derivative of s(a) wrt a?
-5
Suppose 18 = p - 2. Differentiate -69 - 21 - 70*k**4 + 14 - p with respect to k.
-280*k**3
Let z(k) be the second derivative of k - 35/12*k**4 + 0*k**3 - 30 - 36*k**2. Differentiate z(v) with respect to v.
-70*v
Find the third derivative of 2017*a**6 + 204*a**6 - 158*a**2 + 3232*a**2 + 1823*a**6 wrt a.
485280*a**3
Let o(y) be the first derivative of y**2 - 2*y + 15. Let x be o(2). What is the first derivative of -x - 3*a - 5*a + a wrt a?
-7
Let r be ((-15)/18*3 + 2)*-38. What is the third derivative of 148*n**4 - 19*n**2 - 17*n**2 + 15*n**4 - r*n**2 + 13*n**2 wrt n?
3912*n
Let b(k) = -2*k**3 + 2*k**2 + 3*k - 1. Let c(g) = -7*g**3 + 307*g**2 - 684*g - 5. Let l(u) = -3*b(u) + c(u). Find the second derivative of l(t) wrt t.
-6*t + 602
Find the third derivative of 5 + 213609*l**4 + 53*l - l**2 + 5206*l**6 + 25 - 213609*l**4 wrt l.
624720*l**3
Let w(n) be the third derivative of -379*n**6/120 + 411*n**3 - 134*n**2 + 10. Differentiate w(p) wrt p.
-1137*p**2
Let t(q) be the second derivative of 59*q**7/7 - 2*q**6/15 - q**5/20 - 79*q**4 + 422*q - 2. What is the third derivative of t(o) wrt o?
21240*o**2 - 96*o - 6
Let x(t) be the third derivative of -41*t**8/112 + 341*t**5/20 - 4*t**2 + 98. What is the third derivative of x(i) wrt i?
-7380*i**2
Let c(y) = y**2 - y - 4. Let r(u) = -u + 2. Let q be r(5). Let a be c(q). What is the third derivative of 5*f**2 - 16*f**4 + 4*f**2 - 5*f**4 + a*f**2 wrt f?
-504*f
Suppose 90 - 218 = -4*l. Find the second derivative of l*q + 4*q + 285*q**2 + q**2 + 81*q wrt q.
572
Let b be ((-4)/(-2))/((-17)/697). Let i = -77 - b. Find the second derivative of 3*f**i - 2*f**5 + f**5 - 3*f wrt f.
40*f**3
Suppose -117 = o + 5*c - 10*c, c = -3*o - 287. Let v = 104 + o. Find the third derivative of -5*i**2 + i**4 + 4*i**4 + v*i**2 + i**2 wrt i.
120*i
Find the first derivative of -1358*c + 233*c - 2063 - 83*c wrt c.
-1208
Let l(b) be the first derivative of 5*b**6/12 + 5*b**3 - 93*b**2/2 - 87. Let p(t) be the second derivative of l(t). What is the derivative of p(w) wrt w?
150*w**2
Suppose -15*o - 2*o = -51. Find the first derivative of 2*v**4 - 7*v**3 - 21 + 143 - 11*v**3 + 18*v**o + 14*v**2 wrt v.
8*v**3 + 28*v
Let h(o) be the third derivative of 0*o**6 + 0*o + 1/15*o**5 + 1/3*o**3 + 0 + 23/12*o**4 - 34*o**2 + 1/70*o**7. Find the second derivative of h(r) wrt r.
36*r**2 + 8
Let m(i) be the third derivative of 4*i**7/35 - 23*i**5/15 + 567*i**4/8 + i**3/3 + 1330*i**2. Find the second derivative of m(g) wrt g.
288*g**2 - 184
Let i(z) be the second derivative of -2/3*z**3 + 0*z**5 + 6 + 1/30*z**6 - 13/21*z**7 - z + 0*z**2 + 5/12*z**4. What is the third derivative of i(b) wrt b?
-1560*b**2 + 24*b
Suppose 3*u = 5*r + 22, 2*r + 7 + 4 = -u. Let s(z) = -3*z - 11. Let o be s(r). Differentiate 8 - 11 - 39*m**o + 2 with respect to m.
-156*m**3
Let p(z) be the first derivative of -z**6 - 49*z**4/4 - z**3/3 - z**2/2 + 431*z + 1198. Find the second derivative of p(c) wrt c.
-120*c**3 - 294*c - 2
Let b(c) = 7740*c**5 - 4*c**3 + 4*c**2 - 807*c. Let f(g) = -2*g**5 + g**3 - g**2 - 11*g. Let a(o) = b(o) + 4*f(o). Find the second derivative of a(p) wrt p.
154640*p**3
Let j = 712 - 710. Find the second derivative of 0*y**j - 8*y**2 + 4*y**5 + 34 - y - 11 + 7*y**5 + 35 wrt y.
220*y**3 - 16
Let w(i) = -8920*i**4 - 5*i**3 - 50*i**2 + 6041. Let a(l) = -8919*l**4 - 6*l**3 - 60*l**2 + 6037. Let s(m) = 5*a(m) - 6*w(m). Differentiate s(n) wrt n.
35700*n**3
Let f(q) be the second derivative of 74*q**6/5 + 703*q**2 - 1394*q. What is the first derivative of f(v) wrt v?
1776*v**3
Let w(d) be the third derivative of 0*d**4 - 1/336*d**8 - 7/60*d**5 + 1/3*d**3 + 0 - d - 7*d**2 + 0*d**7 + 7/120*d**6. Find the third derivative of w(n) wrt n.
-60*n**2 + 42
Let o(k) be the first derivative of 299*k**4/4 - k**3/3 - 231*k**2/2 - 867. Find the second derivative of o(x) wrt x.
1794*x - 2
Let m(h) = 6572*h - 5986. Let k(c) = 3285*c - 2994. Let z(l) = 9*k(l) - 4*m(l). Find the first derivative of z(q) wrt q.
3277
Let r(p) be the third derivative of -1/20*p**5 + 0 + 1/6*p**4 + 0*p**3 - 4*p + p**2 - 1/60*p**6. Find the second derivative of r(t) wrt t.
-12*t - 6
Let f(c) = c - 6. Let v(k) = -1764*k + 1368. Let b(w) = 15*f(w) - v(w). Differentiate b(d) with respect to d.
1779
Let i(t) be the first derivative of -4265*t**7/7 - 13*t**3/3 - t**2/2 - 9*t + 3203. Find the third derivative of i(s) wrt s.
-511800*s**3
Let h(j) = 722*j**2 + 1796*j + 4. Let t(z) = 723*z**2 + 1794*z + 5. Let m(x) = -5*h(x) + 4*t(x). What is the second derivative of m(p) wrt p?
-1436
What is the first derivative of -826*b**4 + 452 + 845 - 44*b**4 - 444 wrt b?
-3480*b**3
Let r be (6 - 0)*(-60)/(-24). Differentiate 457*q**4 - 6 - 582*q**4 - r wrt q.
-500*q**3
Let p(z) be the third derivative of 23/70*z**7 + z**2 - 1/12*z**4 + 0*z**6 + 7/2*z**3 + 0*z**5 + 0*z + 22. Find the second derivative of p(n) wrt n.
828*n**2
Let x(y) = -y**2 + 5. Let l(i) = -245*i**2 - i + 2179. Let g(f) = l(f) + 2*x(f). What is the derivative of g(n) wrt n?
-494*n - 1
Find the third derivative of 129*j + 18*j**2 + 28 - 61*j - 20*j**2 - 65*j + 3117*j**3 wrt j.
18702
Let u(w) = -2*w**3 - w**2 + 2*w - 1. Let t(v) = 7*v + v - 3*v**2 - 5 - 119*v**3 + 2*v + 0*v. Let k(z) = -t(z) + 5*u(z). Find the third derivative of k(h) wrt h.
654
Let d(p) = 98*p**5 + 16*p**3 - 61*p**2. Let s(w) = -w**5 - 4*w**3 - w**2. Let v(n) = d(n) + 3*s(n). Find the third derivative of v(k) wrt k.
5700*k**2 + 24
Let b(s) = -10773*s**3 + 562*s**2 + 162*s. Let h(n) = -21548*n**3 + 1124*n**2 + 270*n. Let w(d) = 5*b(d) - 3*h(d). Find the third derivative of w(y) wrt y.
64674
Let f = 60 - 28. Let d = -20 + 92. Differentiate f*g**2 + 28*g**2 - d*g**2 + 25*g**2 - 5 with respect to g.
26*g
Suppose 69 = 2*k + 3*j, -42 = -4*k + 5*j + 41. Differentiate 61*s**4 + 40 + k - 6 - 10 wrt s.
244*s**3
Let r = 6417 + -6417. Let w(l) be the third derivative of 0*l + 5*l**2 + 0*l**5 - 1/40*l**6 + r*l**4 - 3*l**3 + 0. What is the first derivative of w(m) wrt m?
-9*m**2
Let f(p) = 726*p + 1738. Let y be 4 - 2 - 2 - 6/2. Let n(s) = -25*s - 60. Let t(d) = y*f(d) - 88*n(d). Find the first derivative of t(l) wrt l.
22
Let s = -11 + 14. Suppose 5*p = 3*v - 11, 5*p = 28 - s. What is the third derivative of 17*y**2 - 4*y**4 - v*y**2 + 6*y**2 wrt y?
-96*y
Let q(s) = -4799*s**3 + 32*s + 10149. Let g(m) = 4798*m**3 - 24*m - 10149. Let w(l) = -4*g(l) - 3*q(l). What is the first derivative of w(c) wrt c?
-14385*c**2
What is the third derivative of -15069*s**2 - 16330*s**2 + 32198*s**2 - 546*s**5 wrt s?
-32760*s**2
What is the third derivative of 1574*w**4 + 7*w**2 + 1628*w**4 - 125 - 13*w**3 - 3295*w**4 wrt w?
-2232*w - 78
Let b(j) be the third derivative of 35*j**5/2 + 625*j**3/3 - 14*j**2. Differentiate b(m) wrt m.
2100*m
Suppose -4*z - 220 = -15*z. Let t be 4/(-8)*18*-1. What is the second derivative of 9*v**5 + z*v**5 - 14*v - t*v**5 + 15*v**5 wrt v?
700*v**3
Let a be 7/(-14)*1*-2. Suppose -x + 5 = 2*g + a, x + 5 = -5*g. Differentiate 16*v - 7 - 3*v - x + 1 wrt v.
13
Let d(i) = -i**3 + i**2 + 6*i + 1. Let j(k) = 4053*k**3 + 6*k**2 + 2160*k + 6. Let b(r) = 6*d(r) - j(r). Find the second derivative of b(o) wrt o.
-24354*o
What is the first derivative of 2*m**3 + 1056 - 350 + 326 - 59*m + 15*m wrt m?
6*m**2 - 44
What is the second derivative of m**2 + 20 + 8*m**4 + 274*m + 7 + 37*m**3 - 22 - 54*m wrt m?
96*m**2 + 222*m + 2
Let m(n) be the third derivative of -9/112*n**8 + 2/3*n**3 + 33*