s**2 + 23*s**5 wrt s?
4020*s**2
Let y(v) be the first derivative of -v**6/15 + 8*v**3/3 + 15*v**2/2 + 262*v - 14. Let b(i) be the first derivative of y(i). Differentiate b(d) wrt d.
-8*d**3 + 16
Find the third derivative of 24*y**2 + 272*y**2 + 1092*y**2 + 235*y**2 + 4*y**4 + 43*y**6 wrt y.
5160*y**3 + 96*y
Let w be 27/2 + (-30)/20. Let s be (56/w - 4)*3. What is the derivative of -402*i**2 - 11 + 11*i**4 + 402*i**s wrt i?
44*i**3
Let a(s) = s**2 + 15*s + 19. Let d be a(-14). Find the third derivative of d*u**3 - 23*u**2 + 16*u**3 + 74*u**2 + 8*u**3 wrt u.
174
Differentiate -12*x**2 + 421 + 6*x**2 - 11*x + 2*x**2 - 9*x**2 + 114 with respect to x.
-26*x - 11
Let m be -1*((-12)/(-60) - (-11)/(-5)). What is the derivative of -184 + 30*n**m + 158*n**2 + 294 wrt n?
376*n
What is the derivative of -i + 604 + 1226 + 481 + 2413*i**2 - 490 - i wrt i?
4826*i - 2
Suppose -2*g - 2*i + 4 = 0, g + 2*i - 5 = -4. Let w(m) = 46*m + 75. Let b(v) = 48*v + 76. Let d(l) = g*b(l) - 4*w(l). Differentiate d(p) wrt p.
-40
Let a = -57 - -90. Find the first derivative of -14*l - 83 + a*l + 9*l + 57*l wrt l.
85
What is the second derivative of -6 + 1587*f**5 + 23*f**5 + 352*f + 1536*f**2 - 789*f**2 - 747*f**2 wrt f?
32200*f**3
Let w(f) be the first derivative of 3*f**4/4 - 19*f**3/3 + f**2 + 2*f - 808. Find the second derivative of w(j) wrt j.
18*j - 38
Let u(v) be the second derivative of -v**4/6 + 1347*v**3/2 - 7751*v**2/2 - 11*v + 272. What is the derivative of u(z) wrt z?
-4*z + 4041
Suppose -4*i = -2*o + 32, 2*o - 5*o = -3*i - 39. Suppose 3*x = -4*p + 98, -5*x + 4*p = -o*x + 174. Differentiate x*u - 12*u**2 + 11 - 38*u wrt u.
-24*u
Let p be -3 + -6 + 11 - -21. Find the third derivative of 12*o**5 - 17*o**5 + 22*o**2 - 23*o**2 + 8 - p*o**5 wrt o.
-1680*o**2
Let t(b) be the second derivative of 76*b**6/15 - b**4/12 - 1146*b**2 + 16*b + 18. What is the derivative of t(z) wrt z?
608*z**3 - 2*z
Suppose 3*p - 15 = -3*g, -g - 2*g + 3 = -p. Suppose 2*x - 204 = -p*z - z, -z + 41 = 3*x. Differentiate 41 + 4*f**2 - 6*f - z + 6*f wrt f.
8*f
What is the third derivative of 20000*t**3 + t + 2*t - 38047*t**3 + 24*t**2 + 19936*t**3 wrt t?
11334
Let t = 293 + -287. Find the third derivative of -93 - t*p**2 + 4*p**2 - 2*p**5 - 36*p**3 + 37*p**3 wrt p.
-120*p**2 + 6
Find the second derivative of -223*f + 140*f - 173*f - 328*f + 5666*f**2 - 6743*f**2 wrt f.
-2154
Let b(j) = -89*j**3 - 5*j**2 + 109*j + 5. Let o(s) = 12*s - s**2 - 23*s + 3*s + 1 + 9*s. Let q(w) = b(w) - 5*o(w). Find the second derivative of q(d) wrt d.
-534*d
Suppose -2*u = -5*t + 49, 14*u - 12*u = t - 5. What is the first derivative of -6 - 69*q**4 - t - 56 - 6 wrt q?
-276*q**3
Let d(c) be the second derivative of -c**6/30 + 233*c**5/5 - 5*c**4/6 - 61*c**3/6 - 5121*c + 2. Find the third derivative of d(r) wrt r.
-24*r + 5592
Suppose 213 = 4*g - w - 77, -5*w = -4*g + 298. Let r = -72 + g. What is the third derivative of 5*o**2 + 6*o**2 + r*o**2 + 0*o**4 + 6*o**4 wrt o?
144*o
Let y = -1512 - -1541. Suppose c = -3*f + 5, -5*c + c - 7 = 3*f. What is the third derivative of -4*v**3 + 826*v**2 - y*v**5 - 815*v**2 + 4*v**f wrt v?
-1740*v**2
Let q(g) be the second derivative of 19/7*g**7 + 0 - 98*g + 0*g**6 + 0*g**5 - 1/2*g**4 - 4/3*g**3 + 0*g**2. Find the third derivative of q(u) wrt u.
6840*u**2
Let w = -219 + 221. Differentiate 0*o**2 - 59 - 33*o**w + 126 wrt o.
-66*o
Let d(u) be the third derivative of 5*u**5/6 + 1481*u**3/6 - 106*u**2 + 3*u. What is the derivative of d(h) wrt h?
100*h
Let p(y) = 11*y + 126. Let f be p(-4). What is the derivative of 38 + f + 40 - 240*m**3 wrt m?
-720*m**2
Let o = 117 + -119. Let x(h) = 65*h**2 + 10*h + 35. Let r(l) = -22*l**2 - 3*l - 12. Let z(k) = o*x(k) - 7*r(k). Differentiate z(i) with respect to i.
48*i + 1
Let f(r) = -267*r**2 - 286*r. Let k be (-2)/((3 - 7/3) + 0). Let l(z) = 135*z**2 + 143*z. Let x(j) = k*f(j) - 5*l(j). Find the second derivative of x(b) wrt b.
252
Let v(o) = -2*o - 20. Let y be v(-14). Let m(l) be the first derivative of -l**2 + 32*l - 12*l + 0*l**2 + y*l**2 + 19. Find the first derivative of m(k) wrt k.
14
Let t(a) = 3*a + 6. Let n be t(5). Let l = 5075 + -5036. Differentiate -22 - n*i**3 + l - 22 with respect to i.
-63*i**2
Let o(v) = -v**3 + 5*v**2 - 3*v + 1. Suppose 8 = 16*m - 14*m. Let n be o(m). Find the third derivative of -8*x**n + 3*x**5 + 4*x**6 + 5*x**5 + 16*x**2 wrt x.
480*x**3
Let v(i) = -3*i**2 + i - 2. Let m(y) = 1579*y**2 - 17*y - 3. Let s(h) = m(h) - 6*v(h). Find the second derivative of s(r) wrt r.
3194
Let b be 867/11 + ((-182)/77)/(-13). Find the second derivative of -79*i**4 - 92*i**5 + b*i**4 + 174 + 2*i wrt i.
-1840*i**3
Let r(n) be the first derivative of 46*n**3/3 + 2*n**2 - 2151*n - 1229. Find the first derivative of r(c) wrt c.
92*c + 4
Let x(z) be the third derivative of 185*z**7/21 + 131*z**4/12 - 2551*z**2. Find the second derivative of x(f) wrt f.
22200*f**2
Find the third derivative of 532*y**3 - 12506*y + 86*y**2 + 55*y**2 + 12500*y wrt y.
3192
Suppose 532 = 4*b + 2*q, -7 - 3 = 5*q. What is the third derivative of 88*t**6 - 4*t**2 - b*t + t**5 + 134*t + 19*t**2 wrt t?
10560*t**3 + 60*t**2
Differentiate -209*c**2 - 192*c**2 - 11881 - 192*c**2 + 573*c**2 + 133*c**4 + 52*c**4 with respect to c.
740*c**3 - 40*c
Let h(n) be the first derivative of 297*n**5/5 - n**4/4 - n**3/3 + n + 525. What is the third derivative of h(a) wrt a?
7128*a - 6
Find the third derivative of 29395572*g + 166*g**5 - 29395572*g + 2652*g**2 wrt g.
9960*g**2
Let o(c) be the third derivative of 0*c + 119/6*c**3 - 205/24*c**4 - 61 - c**2. What is the first derivative of o(f) wrt f?
-205
Let g(p) = 485*p**2 - 1252*p - 5. Let x(b) = -19*b**2 - b - 1. Let m(q) = -g(q) + 5*x(q). Find the second derivative of m(z) wrt z.
-1160
Let h = 215 - 136. What is the third derivative of -876*b**4 - 3*b + 824*b**4 + 3*b - h*b**2 wrt b?
-1248*b
Let l(y) be the third derivative of 1309*y**6/60 - 2635*y**3/6 - 5607*y**2. Find the first derivative of l(v) wrt v.
7854*v**2
Suppose 0 = 7*f + 13 - 34. Find the second derivative of 15*n**4 - 4*n**f - 296*n + 255*n + n**3 - 2 wrt n.
180*n**2 - 18*n
Let d be (-354)/14 + ((-10)/35)/(-1). Let k = d + 28. Find the second derivative of -k*f**2 + 350*f - 357*f - 14*f**2 wrt f.
-34
Let v(c) be the first derivative of 3427*c**5/5 + 2144*c**2 - 828. What is the second derivative of v(h) wrt h?
41124*h**2
Let u(i) be the second derivative of 795*i**5/4 - 23*i**4/3 + 76*i + 10. What is the third derivative of u(l) wrt l?
23850
Let y(b) = -15*b**2 - 39*b - 1. Let c(x) = 41*x + 10*x**2 + 4*x**2 + 396 - 395. Let a(i) = -4*c(i) - 3*y(i). Find the second derivative of a(m) wrt m.
-22
Let b(j) be the third derivative of -1231*j**6/60 - 366*j**3 - 1026*j**2. What is the first derivative of b(f) wrt f?
-7386*f**2
Let x(q) = -3*q + 19. Let r be x(5). Suppose -4*z = -r*g - 72, 0 = -2*g + g + 1. What is the second derivative of 6*s**3 + 5 + z*s - 5 + 5*s**3 wrt s?
66*s
Let p(q) be the third derivative of 0 + q**3 + 0*q + 23/120*q**6 + 2*q**2 + 1/12*q**4 + 0*q**5. Find the second derivative of p(t) wrt t.
138*t
What is the third derivative of -36*t - 158*t**3 + 2049*t**3 + 36*t + 395*t**3 + 1527*t**2 wrt t?
13716
Let u = -40 - -37. Let p(y) = y**2 + 30*y - 15. Let i(n) = -n**2 - 27*n + 14. Let m(v) = u*i(v) - 2*p(v). What is the first derivative of m(h) wrt h?
2*h + 21
Let c(n) = 47*n - 174. Let q(h) = 24*h - 87. Let t(p) = 3*c(p) - 7*q(p). Let z(l) = 28*l - 84. Let f(x) = 6*t(x) + 7*z(x). What is the derivative of f(k) wrt k?
34
Let u(n) be the third derivative of -3/20*n**5 - 1/3*n**3 + 0 - 216*n**2 - 1/105*n**7 + 0*n + 55/12*n**4 + 0*n**6. What is the second derivative of u(p) wrt p?
-24*p**2 - 18
Let k(i) = 37*i**3 - 92*i**2 + 17476*i. Let a(s) = 12*s**3 - 29*s**2 + 5825*s. Let l(t) = 10*a(t) - 3*k(t). Find the second derivative of l(v) wrt v.
54*v - 28
Let l = -11703 + 11725. Let c(f) be the first derivative of 25/6*f**6 + 0*f**4 + 0*f + l + 0*f**3 + 0*f**5 - 10*f**2. Find the second derivative of c(x) wrt x.
500*x**3
Suppose 9*g = 12*g - 24. Suppose 0 = -2*l - 2*l + g. Find the third derivative of 10*r**4 + 6*r**l + 2*r**4 + 19*r**4 - 4*r**4 wrt r.
648*r
What is the second derivative of -532 - 4*y + 1117*y**4 - y**3 - 272 + 923*y**4 + 3*y wrt y?
24480*y