 41*x**d - 3*x + 49 + 11*x**4 with respect to x.
-80*x**3 - 3
Let k = -89 - -109. Find the second derivative of 30*y - k*y**5 + 0*y**5 + 11*y - 4*y wrt y.
-400*y**3
Let v(j) = -j**3 + 4*j**2 + 9*j - 11. Let s be v(5). What is the third derivative of -2*u**3 + s*u**2 + 11*u**2 - 16*u**2 - 24*u**4 + u wrt u?
-576*u - 12
Let a(f) = 8*f**3 - 952*f**2 + 2*f + 606. Let r(j) = 10*j**3 - 953*j**2 + 3*j + 612. Let i(v) = -4*a(v) + 3*r(v). What is the second derivative of i(b) wrt b?
-12*b + 1898
Let r(h) be the second derivative of 5755*h**3/6 + 6259*h**2/2 - 22*h + 51. Find the first derivative of r(o) wrt o.
5755
Let g(z) = -z**2 + 13*z - 18. Let f be g(11). Suppose f = -r, -2*y - 2*y = r - 16. Differentiate -y + 6*m**3 - 26*m**3 - 2*m + 2*m with respect to m.
-60*m**2
Let t be (-2 + -1 + 6)/1. Suppose t*w - 32 = -5*w. Differentiate -19*y**w + 3*y**2 - 3*y**2 - 32 + 5 with respect to y.
-76*y**3
Let i(h) = 37*h**3 + 9*h. Let v = -39 + 42. Let x(p) = 46*p + 11*p**3 - 59*p - 67*p**v. Let l(a) = -8*i(a) - 5*x(a). Find the second derivative of l(u) wrt u.
-96*u
What is the third derivative of -891*t**2 - 2*t**3 + 3*t**3 - 3500*t**4 + 1252*t**4 + 1434*t**4 wrt t?
-19536*t + 6
Let a(f) be the first derivative of -109*f**6/360 + 17*f**4/3 - 52*f**3 - 88. Let z(h) be the third derivative of a(h). Differentiate z(q) wrt q.
-218*q
Let j(g) = g**2 - 27*g + 54. Let u be j(25). What is the derivative of 266*d**3 - 240*d**3 + 28 + 55 + 11*d**u - 14*d**4 wrt d?
-12*d**3 + 78*d**2
Let v(p) = p**2 - 3*p - 8. Let g be v(5). Find the third derivative of y**g + 366 - 366 + 30*y - 123*y**3 wrt y.
-738
Let w(m) = 4665*m**2 + 5281*m. Let l(u) = 4666*u**2 + 5286*u. Let s(c) = -3*l(c) + 4*w(c). Find the second derivative of s(t) wrt t.
9324
Let f(b) be the first derivative of -591*b**5 + 856*b**3 - 1040. What is the third derivative of f(p) wrt p?
-70920*p
Find the second derivative of 12*i**4 - 3827*i**5 - 4299*i**5 - 6099*i + 7302*i**5 - 11*i**4 - 2*i**2 wrt i.
-16480*i**3 + 12*i**2 - 4
Let n(i) = i - 6. Let a be n(5). Let w(z) = -13*z**3 + z**2 - 2*z - 1. Let p be w(a). What is the first derivative of -m**2 + 3*m**2 - p + 10 - 11 wrt m?
4*m
Let p(k) be the first derivative of 83/3*k**3 - 53/4*k**4 + 70 + 0*k**2 + 0*k. Find the third derivative of p(o) wrt o.
-318
Let g(u) be the first derivative of -430*u**3/3 - 234*u + 445. Differentiate g(r) with respect to r.
-860*r
Suppose 0 = 89*r + 480 - 1192. Let c(i) be the first derivative of 0*i**2 + 1/3*i**3 - 18 + r*i. Find the first derivative of c(k) wrt k.
2*k
Let t be (3/(-12)*-6)/(1/2). Suppose 3*d + t*g - 972 = -0*g, -4*g = -5*d + 1602. What is the first derivative of -312*v**3 + 0 - 19 + d*v**3 wrt v?
30*v**2
Let i(p) be the second derivative of 31/2*p**2 + p + 0*p**3 + 3/10*p**5 + 1 - 1/12*p**4. Find the first derivative of i(q) wrt q.
18*q**2 - 2*q
Differentiate -1228 + 166*l**3 - 1828*l**3 - 261 wrt l.
-4986*l**2
Suppose 3*c - 32 = -5*w, 5*c - 8*c + 20 = 2*w. What is the second derivative of -w*t**3 + 5 + 1 + 47*t - 11*t**2 + 0*t**3 + 2*t**3 - 3 wrt t?
-12*t - 22
Let k(p) = 6*p - 1. Let d(t) = -110*t**3 - 3*t**2 - 18*t + 1088. Let v(f) = -d(f) - 3*k(f). What is the first derivative of v(b) wrt b?
330*b**2 + 6*b
Let m(t) be the first derivative of -5617*t**4/4 - 4475*t**3/3 + 4395. What is the third derivative of m(s) wrt s?
-33702
Suppose -d - 5*i = -31, -3*d + 5*i - 1 + 14 = 0. What is the second derivative of -4*b**3 - 74*b - 153*b - 95*b - d*b**4 wrt b?
-132*b**2 - 24*b
Let m(r) = -r**2 + 16*r + 11. Let l be m(12). Let h = 61 - l. What is the third derivative of -2 - 3*c**3 - 2*c**h + 2 + 5*c**2 wrt c?
-18
Let q = 135 - 131. Differentiate y**4 + 85 - 49*y**3 - 50*y**q + 49*y**3 wrt y.
-196*y**3
Let n(t) be the third derivative of -41*t**8/168 + t**6/30 + 203*t**4/12 + t**3/3 - 82*t**2. What is the second derivative of n(s) wrt s?
-1640*s**3 + 24*s
Let d(c) be the first derivative of 1447*c**5/5 + 281*c**2 + 789. What is the second derivative of d(k) wrt k?
17364*k**2
Let v(u) be the first derivative of 0*u**4 - 2*u**5 + 0*u - 6 - 2/3*u**3 + 15/2*u**2. What is the third derivative of v(k) wrt k?
-240*k
Let a(k) = -5*k**2 + 32*k - 529. Let i(n) = -n**2 + 8*n - 132. Suppose 18 - 30 = -6*l. Let q(y) = l*a(y) - 9*i(y). Differentiate q(v) wrt v.
-2*v - 8
Let o = -4 + 6. Let p be ((-81)/(-18) - 6)*(1 + -9). What is the second derivative of 8*c**3 - o*c - p*c + 27*c wrt c?
48*c
What is the second derivative of 15887*p**2 + 214*p**3 - 214*p + 342*p**3 - 15886*p**2 wrt p?
3336*p + 2
Suppose 9*v - 2 = 7*v, 498 = 4*s - 2*v. What is the derivative of 27 + 192*r - 11 - s*r - 117*r wrt r?
-50
What is the first derivative of 3047 - 3285451*j**3 + 3286584*j**3 + 1960 wrt j?
3399*j**2
Let s(d) be the first derivative of d**4/4 + 6*d**3 - d**2/2 - 14*d + 28. Let g be s(-18). What is the second derivative of 38*p - 69*p + 44*p + 28*p**g wrt p?
336*p**2
Let d(w) = -8*w - 16. Let v(n) = 23*n + 46. Let c(q) = 8*d(q) + 3*v(q). Let t(x) = -x + 4. Let f(r) = -3*c(r) - 24*t(r). What is the derivative of f(u) wrt u?
9
Let q(u) = -11*u + 66. Let n be q(-9). What is the third derivative of -163*d**2 - 635*d**4 - n*d**5 + 314*d**4 + 320*d**4 wrt d?
-9900*d**2 - 24*d
Let f(q) = -200*q**2 + 200*q**2 + 105 - 88*q**3 - 2*q. Let d(w) = 264*w**3 + 7*w - 315. Let n(l) = -2*d(l) - 7*f(l). What is the first derivative of n(h) wrt h?
264*h**2
Let s = -28 - -32. Suppose s*j + 9 = 29. What is the derivative of 8 - 1 + 1 - 11*m**4 + j wrt m?
-44*m**3
Suppose -3*o = 2*z - 2*o + 3, -4*z - 12 = 4*o. Find the second derivative of -71*i + 2*i**3 + z*i**3 - 2*i**2 - 3*i**3 + 14*i wrt i.
-6*i - 4
Let j(l) = -11*l**3 - 1422*l**2 - 36*l + 268. Let w(g) = 8*g**3 + 948*g**2 + 24*g - 178. Let x(c) = -5*j(c) - 7*w(c). Find the second derivative of x(s) wrt s.
-6*s + 948
Let m(k) be the first derivative of 0*k**2 + 0*k**3 + 27/5*k**5 + 178 - 1/2*k**4 - 171*k. Differentiate m(w) wrt w.
108*w**3 - 6*w**2
Let l(k) be the first derivative of -19*k**4/2 + k**3/3 - 9*k**2/2 - 44*k + 2163. Find the second derivative of l(h) wrt h.
-228*h + 2
Let k(d) be the second derivative of 5*d**8/28 - 23*d**5/20 + 335*d**4/12 - d**3/3 + 44*d + 5. What is the third derivative of k(t) wrt t?
1200*t**3 - 138
Let v(k) = -2*k**2 - 5*k. Let a(u) = 11*u**2 + 29*u + 1103. Let r(s) = -a(s) - 5*v(s). What is the derivative of r(n) wrt n?
-2*n - 4
What is the third derivative of 424*m**2 + 1457*m**2 - 893*m**5 + 121*m**5 + 217*m**2 wrt m?
-46320*m**2
Let u(h) = 1943*h**2 - 57*h - 2054. Let q(x) = -1944*x**2 + 49*x + 2054. Let m(o) = 7*q(o) + 6*u(o). Find the second derivative of m(w) wrt w.
-3900
Let z(v) = -24*v**2 + 39 - 217 - 169*v**2. Let p(w) = -98*w**2 - 89. Let j(h) = -10*p(h) + 4*z(h). Find the first derivative of j(m) wrt m.
416*m
Let f(r) be the second derivative of 176*r**6/15 + 7*r**3/3 - 15*r**2 + r - 1586. What is the second derivative of f(m) wrt m?
4224*m**2
Let k(z) = -2*z + 38. Let j be k(18). Differentiate 3*q + 3*q**j - 42 - 4 - 2*q with respect to q.
6*q + 1
What is the third derivative of 2336*b**5 - 8 + 3 - 681*b**5 - 90*b**2 - 604*b**5 - 666*b**5 wrt b?
23100*b**2
Suppose 4*t + 280 - 1066 = 3*f, 2*t = 2*f + 392. What is the third derivative of 1 + 14*w**2 - 2*w**4 + 198*w - t*w - 48*w**6 wrt w?
-5760*w**3 - 48*w
Let w(q) = -q**2 + q - 2. Let g(o) = 587*o**2 + 1160*o - 6. Let r(j) = -g(j) + 3*w(j). Find the second derivative of r(n) wrt n.
-1180
Let l(v) = -v**2 - 9*v - 18. Let s be l(-5). What is the third derivative of 0*u**2 + 2*u**2 + 156*u**3 - 3*u**s - u**2 wrt u?
936
Find the second derivative of 1184020 - 1184020 - 940*l + 228*l**2 - 3*l**3 wrt l.
-18*l + 456
Suppose 5*t - 19 = 6. Suppose 136 = 4*w + t*p, w + p - 34 = 5*p. Find the first derivative of -63*v + 91*v - 1 + w wrt v.
28
Let w(i) be the second derivative of -149*i**6/2 + 503*i**2/2 - 495*i. What is the first derivative of w(l) wrt l?
-8940*l**3
Let y be 12/(-8) - ((-8)/(-10))/((-70)/175). Let k(m) be the first derivative of -y*m**4 - 5 + 0*m**3 - 44*m + 0*m**2. Find the first derivative of k(p) wrt p.
-6*p**2
Let x be -5 + -13 + 39 - 19. Let r(k) be the third derivative of 0 - 47/6*k**3 - 9/8*k**4 + 46*k**x + 0*k. Differentiate r(n) with respect to n.
-27
Let p(h) = -179*h**5 - 7*h**4 + 911*h**2 - 12*h. 