4*p
Let g(o) be the first derivative of 1/2*o**2 + 156*o - 43 + 23/3*o**3. What is the second derivative of g(s) wrt s?
46
Suppose 2*o - 3*g = 4, 7*o + 3*g + 6 = 10*o. Find the third derivative of 8*m**o - 54*m**5 - 36*m**5 + 57*m**5 wrt m.
-1980*m**2
Find the third derivative of 624*y**5 + 3*y**3 + 29195263*y**2 - 29196003*y**2 - 225*y**5 wrt y.
23940*y**2 + 18
Let b(t) be the third derivative of 1557*t**6/40 + 2177*t**3/6 - 119*t**2 + 11*t. What is the derivative of b(c) wrt c?
14013*c**2
Suppose -o = 2, 0*f - f + 4*o = -23. Suppose f = 3*l - 3. Differentiate -l*v**4 + 6*v**4 + 6*v**4 - 13 wrt v.
24*v**3
Let n(f) = -f**3 + 7*f**2 + 27*f - 186. Let a be n(7). Let l = 26 + -8. What is the first derivative of -l*b**a - 12 - 2*b + 2*b - 1 wrt b?
-54*b**2
Let x(b) = 9*b**4 - 18*b**3 + 57*b**2 + 6*b - 14. Let z(l) = l**4 - 2*l**3 + l**2 + l - 1. Let q(r) = x(r) - 6*z(r). Find the third derivative of q(u) wrt u.
72*u - 36
What is the derivative of -137 - 292 + 434 - 451 + 25*h wrt h?
25
What is the second derivative of 2*c + 2852*c**3 + 0 + 28*c**2 - 56 - 8 + 2852*c**3 - 5712*c**3 wrt c?
-48*c + 56
Let v(m) = -9*m**3 - 2*m**2 - 3*m - 7. Let n be v(-3). What is the second derivative of 8*w**3 + 2*w**3 + n + 0*w - 213 - 3*w wrt w?
60*w
Let f(i) be the second derivative of -16*i**6/15 - i**5/10 + i**4/12 + 3*i**2 - 125*i. What is the third derivative of f(o) wrt o?
-768*o - 12
Let n = -143 - -125. Let q be n*1/8*4*-1. Differentiate 12 - q + 16 + 27*s + 16 wrt s.
27
Find the second derivative of -725*y**3 + 7907*y**3 - 5574*y - 879*y - 5905*y wrt y.
43092*y
Let r(b) = 27*b**2 - 19*b**2 + 14*b + 2*b - 3 + 68*b**2. Let o(u) = 39*u**2 + 9*u - 2. Let v(h) = 7*o(h) - 4*r(h). What is the derivative of v(w) wrt w?
-62*w - 1
Let h(z) = z**2 - 2*z + 10. Let s be h(-6). Find the second derivative of -m**5 - 27 - 34 - 24*m + s + 2*m**5 wrt m.
20*m**3
Let x(t) be the second derivative of -t**8/56 + 265*t**7/42 + t**5/10 + t**4/6 + 29*t**3/2 - 5481*t. Find the third derivative of x(o) wrt o.
-120*o**3 + 15900*o**2 + 12
Suppose 300 = 5*t - 385. What is the second derivative of -192 + 99 - t*r**2 - 65*r + 93 wrt r?
-274
Let l(j) = -j**5 - 2*j**4 + j - 1. Let o(a) = 8*a**5 - 13*a**4 - 327*a**2 - 2*a + 2. Let k(r) = 4*l(r) + 2*o(r). Find the third derivative of k(h) wrt h.
720*h**2 - 816*h
Let h(g) be the third derivative of 14*g**2 + 53/24*g**4 + 0*g - 21/10*g**5 + 0 + 1/3*g**3. What is the second derivative of h(x) wrt x?
-252
Let v(x) = 3012*x**3 - 9*x**2 + 18*x - 2129. Let m(z) = 1507*z**3 - 4*z**2 + 8*z - 1066. Let w(l) = -9*m(l) + 4*v(l). Differentiate w(i) with respect to i.
-4545*i**2
Let l = 547 + -545. What is the first derivative of -205*k**l + 79*k**2 + 68*k**2 - 45 wrt k?
-116*k
Let p(j) = 3*j - 17. Let c be p(9). Suppose -z = -4*v + 81, -2*z - c = 2*v - 58. Find the first derivative of -3*g - v*g - 17 - 7 - g wrt g.
-25
Let h(y) = 5*y**2 + 9*y - 52. Let r be h(4). What is the second derivative of -23*d**2 - 95*d - 28*d**2 - r*d**2 + 8*d**2 wrt d?
-214
Let o = 574 + -572. Find the second derivative of 9*c**2 + 5*c**2 + 7*c**2 + 10*c**o - 18*c**2 - 125*c wrt c.
26
Let k(w) = 2*w**4 - 2*w**2 + 1. Let s(z) = -1396*z**4 + 16*z**2 + 978. Let o(h) = 8*k(h) + s(h). What is the derivative of o(y) wrt y?
-5520*y**3
Let f = -41 + 35. Let u be 31 - (f - -4)/1. Find the third derivative of -46*b**4 - 6*b**2 - 7*b**2 + u*b**4 wrt b.
-312*b
Let d(w) be the third derivative of -109/6*w**3 + 2 - 49/24*w**4 + 0*w - 40*w**2. Differentiate d(i) wrt i.
-49
Let k(p) = -96*p**5 + 12*p**4 - 12*p**3 - 12*p**2 - 80*p + 24. Let i(j) = j**4 - j**3 + 2. Let c(d) = 12*i(d) - k(d). Find the third derivative of c(n) wrt n.
5760*n**2
Let f(p) be the third derivative of -7/3*p**3 + 0*p**6 - 1/48*p**8 + 17*p**2 - 1/20*p**5 + 0*p**4 + 0*p**7 + 1 + 0*p. Find the third derivative of f(b) wrt b.
-420*b**2
Suppose -3*r - 6 = -6. Suppose 0 = -3*x - 4*l + 20, -3*x + 0*l - 2*l + 16 = r. What is the third derivative of -18*b**x + 9*b**4 - 14*b**2 + 1 - 1 wrt b?
-216*b
Let q(h) = -3*h**2 + 191*h - 522. Let y(w) = 9*w**2 - 572*w + 1562. Let p(o) = -11*q(o) - 4*y(o). Differentiate p(n) with respect to n.
-6*n + 187
What is the third derivative of 2340*i**4 + 534*i**4 + 5032*i**2 + 2641*i**4 - 892*i**4 + 639*i**4 wrt i?
126288*i
Suppose 26*v - 606 + 60 = 0. Find the second derivative of -12*t**4 - v*t**2 + 21*t**2 + 3*t + 7*t wrt t.
-144*t**2
Let m(a) = a**3 - 493*a**2 + 533*a - 6. Let x(c) = c**3 - 489*c**2 + 532*c - 4. Let n(o) = -4*m(o) + 6*x(o). Find the second derivative of n(z) wrt z.
12*z - 1924
Let u be -2*((-15)/5)/(-3). Let q be ((-2)/u)/((-1)/(-2)). What is the derivative of -14*p + 5 - 7*p + 21*p - 4*p**q wrt p?
-8*p
Let w = -33 - -60. Let v = w - 25. What is the third derivative of -x**2 - 2*x**6 - 4*x**6 + 4*x**v wrt x?
-720*x**3
Let x(o) be the second derivative of 7*o**6/5 + 3*o**5/20 + 1337*o**4/12 - 50*o - 2. What is the third derivative of x(l) wrt l?
1008*l + 18
Let t(w) be the second derivative of -10277*w**5/20 - w**4/3 + 37*w**3/6 - 21*w**2/2 - w + 998. Find the third derivative of t(d) wrt d.
-61662
Suppose b + 884 = -3*b. Let j = -128 - b. Find the first derivative of 87*t**3 - 4*t**2 + 4*t**2 - j*t**3 - 1 wrt t.
-18*t**2
Let w(y) = -y**4 - 6*y**3 - 192*y**2 + 2992. Let m(c) = -c**3 - 41. Let k(q) = -6*m(q) + w(q). Differentiate k(p) with respect to p.
-4*p**3 - 384*p
What is the third derivative of 26 + 1154*i - 41 + 2887*i**4 + i**2 + 1962*i**4 + 161*i**4 - 1156*i wrt i?
120240*i
Let j = 39 + -35. Suppose f - 4*f = -2*m - 10, -j*m = -16. What is the third derivative of -f*w**4 - 20*w**2 - w + w - 16*w**4 wrt w?
-528*w
Let k(n) = -3 + 109*n - 34*n - 40*n - 32*n. Let w be k(6). What is the derivative of -12*i**2 - 6 + w - 33 - 23*i**2 wrt i?
-70*i
What is the first derivative of -85*s**4 + 1322 - 3686 + 980 wrt s?
-340*s**3
Suppose 3*u = -2*b - u + 28, -20 = -5*u. Suppose -2*a - 44 = -b*a. Find the first derivative of 0*s + 0*s + a + 0 - 3*s**3 wrt s.
-9*s**2
Let v(r) = -1583*r**4 + 8*r**3 + 4*r**2 - 4*r - 236. Let w(k) = -1582*k**4 + 6*k**3 + 3*k**2 - 3*k - 235. Let g(q) = -3*v(q) + 4*w(q). Differentiate g(t) wrt t.
-6316*t**3
Suppose -13*r + 87 + 108 = 0. What is the second derivative of -r*m**3 - 22 + 44*m**3 - m - 24*m**3 wrt m?
30*m
What is the third derivative of -27*v**3 + 271*v**2 - 9*v**6 - 41*v + 12*v**3 + 40*v wrt v?
-1080*v**3 - 90
Suppose -32*a + 10*a = -22. What is the second derivative of -a + 5*m - m - 56*m**3 - 12*m wrt m?
-336*m
Find the second derivative of -b**4 - 20*b**4 - 77196 + 77165 + 144*b**4 - 6*b wrt b.
1476*b**2
Find the third derivative of -974*n**3 - 1 + 976*n**3 + 4*n**4 - 183*n**2 - 6*n**4 wrt n.
-48*n + 12
Let p(u) be the second derivative of 0*u**2 - 2 + 0*u**3 - 29/5*u**5 + 5*u**4 - 77*u. What is the third derivative of p(b) wrt b?
-696
Let r(b) be the second derivative of -34*b**5/5 + 89*b**4/12 - b**2 - 1001*b. What is the third derivative of r(k) wrt k?
-816
Let a = 22 + -1. Find the third derivative of -4 - 39*d**2 - 19*d**3 + a*d**2 + 19*d**2 wrt d.
-114
Let r = 514 - 514. Let j(n) be the first derivative of 0*n**4 - 2/3*n**3 + r*n**2 + 0*n**5 + 1 + 1/3*n**6 + 0*n. What is the third derivative of j(p) wrt p?
120*p**2
Let f be (10/35*-3)/(3/(-14)). Find the first derivative of -10*o**f + 148*o + 143*o + 156 - 296*o wrt o.
-40*o**3 - 5
Let y(i) = -31*i**3 + 2*i**2 - 18*i - 5314. Let p(d) = -58*d**3 + 4*d**2 - 44*d - 10627. Let w(r) = 4*p(r) - 9*y(r). Differentiate w(q) with respect to q.
141*q**2 - 4*q - 14
Let g(q) be the first derivative of 19 + 83/2*q**2 + 12*q. Differentiate g(n) wrt n.
83
Find the third derivative of 3714*a**4 + 5317*a**4 - 4041837*a**2 + a + 4044446*a**2 wrt a.
216744*a
Let i = -1082 - -1092. Suppose 15 = 2*f + 3*f. What is the first derivative of 2*r - f - 9*r + 2*r - i*r wrt r?
-15
Find the second derivative of -1146*f**5 - 856*f + 6*f**4 + 304*f**5 - 16*f**4 + 10*f**4 wrt f.
-16840*f**3
Suppose g - 6 = -w, w + 612*g = 608*g + 15. Let m be (-2)/(-2) + -3 + 31. What is the third derivative of -w*q**2 + 19*q**2 - q**6 + m*q**6 wrt q?
3360*q**3
Suppose -111 = -35*r - 6. Let c(i) be the third derivative of -10/3*i**r + 0 - 5/6*i**4 + 0*i - 26*i**2. Differentiate c(l) with respect to l.
-20
What is the third deriva