
What is the second derivative of 0*o**2 - 2150*o - 225*o**5 - 3066*o + 2*o**3 - o**2 + 1741*o - 627*o wrt o?
-4500*o**3 + 12*o - 2
Find the third derivative of -828*r + 1635*r - 157*r**6 - 807*r - r**4 - 6880*r**2 + 0*r**5 - 6*r**5 wrt r.
-18840*r**3 - 360*r**2 - 24*r
Let i(z) = 104*z**3 + 5*z + 483. Let w(o) = 52*o**3 + 3*o + 241. Let y be (11 - 20)*(12/9)/4. Let n(j) = y*i(j) + 5*w(j). Differentiate n(h) wrt h.
-156*h**2
Let r(o) be the second derivative of -31/5*o**5 + 102*o + 0 + 0*o**3 + 29/3*o**4 + 0*o**2. Find the third derivative of r(d) wrt d.
-744
Let d = 17208 - 9731. Find the third derivative of -d + 4*p**3 + 7477 + 65*p**2 wrt p.
24
Let y = 49 - 61. Let b be (-3)/9 - -16*(-4)/y. What is the derivative of 15*l**3 + 1 + 48*l**2 + b*l**3 - 48*l**2 wrt l?
60*l**2
Suppose -17*h + 1 = -101. Differentiate c + 22 - 109 - 94 + c + c**2 - h*c**2 with respect to c.
-10*c + 2
Suppose 10 = s - 5*c, 0 = 5*s + 2*c + 4. Suppose 0*m = -3*m + p + 67, m + p - 25 = s. What is the first derivative of -14*l**3 + 21*l**3 + 13*l**3 + m wrt l?
60*l**2
Let c(y) be the third derivative of -3/8*y**4 + 1/15*y**5 + 0*y**7 + 0*y**6 + 0*y**3 - 7/24*y**8 - y + 0 - 68*y**2. Find the third derivative of c(m) wrt m.
-5880*m**2
Suppose 0 = -2*r - 2*j - 28, -2*r - 17 + 1 = -4*j. Let k be (2/(-6))/(1/r). What is the first derivative of 10*q**k + 1 - 9 + 1 - 2 wrt q?
40*q**3
Suppose 3 = 3*z + 3*r, 13 = 5*z - 2*r - r. Find the second derivative of -143*i - z*i**4 + 2*i**4 + 144*i + 29*i**5 + 78 wrt i.
580*i**3
Let u be 19*(5 + (-24)/6). Find the second derivative of -u*p + 98*p**2 - 487 + 487 wrt p.
196
Let j(m) be the second derivative of 2913*m**4/4 - 3410*m**3/3 - m - 1581. What is the second derivative of j(v) wrt v?
17478
Let w(y) = 540*y + 1919. Let t(z) = -269*z - 950. Let n(f) = -7*t(f) - 3*w(f). Find the first derivative of n(q) wrt q.
263
Suppose 2*r + 42 = -9*u + 14*u, 2*u = -5*r + 11. Find the third derivative of 14*p**5 - 20*p**5 + 20*p**5 + u*p**5 - 2 - 31*p**2 wrt p.
1320*p**2
Find the second derivative of 668*u - 11*u**4 + 461*u**2 + 14*u**4 - 666*u + u**4 + 783 wrt u.
48*u**2 + 922
Let z be (12/30)/(1/5). Let c be (z/2)/(2/6). Find the third derivative of -66*n - n**c + 66*n - 5*n**3 + 14*n**2 wrt n.
-36
Find the first derivative of -k - 2003 + 853 + 777 - 1336*k**3 wrt k.
-4008*k**2 - 1
Let z(x) = -688*x + 2317. Let l(p) = -676*p + 2322. Let b(g) = -4*l(g) + 3*z(g). What is the first derivative of b(m) wrt m?
640
Differentiate -139*m**4 + 1082 - 15144 + 4894 - 179*m**4 with respect to m.
-1272*m**3
Let s(u) be the third derivative of -91*u**8/24 + 161*u**4/12 - u**3/3 + 22*u**2 - u. What is the second derivative of s(b) wrt b?
-25480*b**3
Let c(h) be the first derivative of -16*h**2 + 0*h - 44/3*h**3 - 2. Find the second derivative of c(k) wrt k.
-88
Let j = 66 - 59. Suppose -5*t - 28 = -n, 2*n + j*t - 2*t = -19. Find the first derivative of 2*l**3 + 1 + l**n + 13 wrt l.
9*l**2
Let i(n) = -10*n**3 + n**2 + 8*n + 3. Let a be i(-3). Differentiate -a - t**3 + 5*t**3 - 2*t**3 - 7*t**3 + 2 wrt t.
-15*t**2
Let l(c) be the third derivative of 1679*c**8/168 - c**7/105 + 287*c**5/60 + c**4/24 + c**3/6 - 4646*c**2. What is the third derivative of l(r) wrt r?
201480*r**2 - 48*r
Suppose -58 = -f + 2*z + 2, -2*z - 268 = -5*f. What is the second derivative of 113*k**2 - 86*k + f*k**2 - 19 + 18 + 46*k wrt k?
330
Let o(j) be the third derivative of 3419*j**7/210 + 931*j**5/30 - 2057*j**2. What is the third derivative of o(m) wrt m?
82056*m
Let o(m) = 78*m - 32. Let c be o(2). Differentiate 8 + 5*u + c - 3*u + 34 - 13*u**2 + 13 with respect to u.
-26*u + 2
Let v(j) = -587*j**2 + 6403. Let h(z) = -8804*z**2 + 96033. Let l(p) = 2*h(p) - 31*v(p). Differentiate l(r) with respect to r.
1178*r
Suppose -r + 37 = 29. Find the second derivative of -1 - 2*w**2 + 6*w + 9*w**3 + r - 34*w**3 wrt w.
-150*w - 4
Suppose -235*s + 6 = -232*s. Let p(g) = g**2 - 5*g + 3. Let k be p(5). What is the second derivative of -9*d**2 + 11*d + d**s - k*d wrt d?
-16
Let a(x) = -1692*x**2 - 1033*x - 2. Let l(y) = 1694*y**2 + 1032*y + 2. Let k(m) = 3*a(m) + 2*l(m). What is the second derivative of k(n) wrt n?
-3376
Suppose -7 = d - 9. Find the first derivative of -6*h**d + 86 - 5 - 45*h**3 + 7*h**3 + 3*h**2 wrt h.
-114*h**2 - 6*h
Let q(b) = -b**5 - 3*b**4 + 2*b + 1. Let z(i) = 5908*i**5 + 18*i**4 + 1079*i - 5. Let x(d) = 6*q(d) + z(d). Find the second derivative of x(j) wrt j.
118040*j**3
Let p(c) be the first derivative of -3665*c**2 - 395*c + 1168. Find the first derivative of p(r) wrt r.
-7330
Let g be (-4 - -6)/(-1 + 2). Suppose -g*y = -7*y + 3*d + 40, 2*d = -4*y + 54. What is the second derivative of -7*t - 8*t + y*t**2 + t wrt t?
22
Let h(w) = 4*w**2 - 5*w**2 + 2*w**2 - 90 - 5*w**2 - 7*w**4. Let x(k) = k**4 - 1. Let y(d) = h(d) + x(d). Differentiate y(b) wrt b.
-24*b**3 - 8*b
Let w(h) be the second derivative of 7*h**6/30 - 2*h**5/5 - 3*h**4/4 - 3079*h**3/6 + 27*h - 93. What is the second derivative of w(j) wrt j?
84*j**2 - 48*j - 18
Let d(w) = -w**3 + 14*w**2 + 31*w + 19. Let o be d(16). Find the third derivative of 14*m**2 + 5*m**6 - 2633*m**o + 2638*m**3 - m**6 wrt m.
480*m**3 + 30
Let u = -10 + 13. What is the second derivative of 2*o**3 - 44*o**u + 17*o - 20*o wrt o?
-252*o
Let g(z) = -1001*z - 1021. Let x(c) = 164*c + 1. Let o(r) = g(r) + 4*x(r). What is the first derivative of o(n) wrt n?
-345
Let h = 139 + -209. Let p = h + 72. Find the third derivative of 21*m**5 - 12*m**2 + 10*m**5 + 43*m**p wrt m.
1860*m**2
Let i be (-2)/(4/(-18)*1). Let y = -7 + i. Find the first derivative of -4*d + 15 - y*d + 5*d - 2*d wrt d.
-3
Let k(h) = 8385*h**2 - 1440. Let l(j) = 16771*j**2 - 2893. Let i(x) = -7*k(x) + 4*l(x). Differentiate i(m) wrt m.
16778*m
Find the third derivative of 1136*k**2 - 1141*k**2 - 1102*k**2 + 3148*k**2 + 2154*k**3 wrt k.
12924
Suppose 0 = 2*i + 3*i - a - 15, -16 = 2*i + 4*a. What is the second derivative of -395*v**i + 355*v**2 + 192*v - 34*v wrt v?
-80
Let r(x) be the second derivative of 3*x**5/10 + 43*x**4/4 + x**3/3 + 4555*x**2/2 + 4849*x. Differentiate r(g) with respect to g.
18*g**2 + 258*g + 2
Let g = -112 + 56. Let s be g/(-21) - 1/(-3). Find the third derivative of 85*m**s - 180*m**3 + 95*m**3 + 6*m**6 - 25*m**2 wrt m.
720*m**3
Suppose 4*k - 24 = -0*k. Let s(y) = y**3 - 18*y**2 - 16*y - 28. Let c be s(19). Find the third derivative of 27*v**2 + 34*v**k + 40*v - 69*v + c*v wrt v.
4080*v**3
Let m(g) be the second derivative of 169*g**5/10 - g**4/6 - 191*g**2/2 + g + 119. What is the third derivative of m(q) wrt q?
2028
Let c(u) be the second derivative of 0*u**2 + 0 + 0*u**4 + 0*u**5 + 113/30*u**6 + 72*u + 17*u**3. Find the second derivative of c(j) wrt j.
1356*j**2
Let y be (46/(-3) + 3)*(-20 - 4). What is the third derivative of -295*j**4 - y*j**4 + 585*j**4 - 4*j**3 - 175*j**2 wrt j?
-144*j - 24
Let n(w) = 41*w**2 - 34*w - 34. Let v be n(-1). Find the third derivative of -63*i**2 - 186*i**4 + 49*i**4 - v*i**2 wrt i.
-3288*i
Find the third derivative of -2636 - 6*b**2 + 3*b**3 + 2662 + 7*b**2 - 3*b**3 - 6090*b**5 wrt b.
-365400*b**2
Let d be 2/(5 + (-16)/4) + 2. Find the second derivative of 20*g**2 - 10*g**2 - g**3 + 28*g - d*g wrt g.
-6*g + 20
Let s(v) = -v**3 - 24*v**2 + 4*v + 101. Let d be s(-24). What is the derivative of -141 + 5*m**2 - d*m**2 + 6*m**4 + 91*m**4 wrt m?
388*m**3
Let k(h) be the first derivative of -547*h**6/2 - 2209*h**2 + 7166. Find the second derivative of k(j) wrt j.
-32820*j**3
Let v = 37 + -41. Let l(p) = -14*p - 21. Let h be l(v). Differentiate 4*o**2 - h + 25 + 3*o**2 - 2*o**2 with respect to o.
10*o
Let m(t) be the second derivative of 15*t**8/56 + 19*t**7/42 - t**4 - 106*t**2 + 715*t - 1. Find the third derivative of m(w) wrt w.
1800*w**3 + 1140*w**2
What is the first derivative of 6906*x - 556 + 1380 + 154 wrt x?
6906
Let k(d) = -18*d**4 + 400*d**2 + 10*d - 529. Let m(j) = -17*j**4 + 399*j**2 + 9*j - 529. Let b(z) = 9*k(z) - 10*m(z). Find the first derivative of b(w) wrt w.
32*w**3 - 780*w
Suppose 3*l - 3*d = -42 + 60, 3*l = 5*d + 24. Find the third derivative of -132*p**3 - 69*p + 4*p**l + 30*p**2 + 71*p wrt p.
-768
What is the second derivative of 9906*t**5 - 22547*t**5 + 10837*t**5 + t**2 - 337*t wrt t?
-36080*t**3 + 2
Let f(a) =