13681*p**6 wrt p.
-23040*p**3
Let p(m) be the third derivative of -2*m**2 - 5 + 13/6*m**5 + 0*m + 71/3*m**3 + 0*m**4. Find the first derivative of p(c) wrt c.
260*c
What is the third derivative of 14 + 2*q**2 - 4654*q**3 - 140*q**3 - 12766*q + 12823*q wrt q?
-28764
Let q(y) = -75*y**2 - 269*y - 2943. Let o(t) = 31*t**2 + 135*t + 1471. Let h(j) = 5*o(j) + 2*q(j). Differentiate h(l) with respect to l.
10*l + 137
Let p(s) = -638*s**4 - 1100*s**2 + 2*s. Let g(f) = 1269*f**4 + 2200*f**2 - 5*f. Let a(x) = -2*g(x) - 5*p(x). What is the third derivative of a(i) wrt i?
15648*i
Suppose -7*g + 12 = -3*g. What is the third derivative of -10*p**6 - 8*p**2 - g*p**4 + 5*p**4 - 3033 + 3032 wrt p?
-1200*p**3 + 48*p
Let s(y) be the third derivative of 59*y**6/8 + 31*y**4/12 + y**3/6 - 5*y**2 - 148. What is the second derivative of s(u) wrt u?
5310*u
Suppose 6*t + i = 3*t + 2, 0 = 5*t - 4*i - 26. What is the second derivative of -271*u**3 + 209*u**3 + 5*u**2 - 5*u**t + 40*u wrt u?
-372*u
Let l(f) = 11*f**3 - 2*f + 1. Let d(q) = -839*q**3 - 12*q - 3454. Let p(z) = d(z) - 6*l(z). Differentiate p(i) wrt i.
-2715*i**2
What is the third derivative of -2 + 16489*v**2 - 19039*v**2 - v**4 + 0*v**4 - 5682*v**5 wrt v?
-340920*v**2 - 24*v
Let z(b) = -28*b**3 + 889*b**2 + 6*b - 10. Let s(o) = -55*o**3 + 1778*o**2 + 15*o - 25. Let a(d) = 2*s(d) - 5*z(d). What is the third derivative of a(c) wrt c?
180
Let p(b) be the second derivative of 0 + 0*b**3 + 61*b + 5/6*b**6 + 0*b**2 + 59/12*b**4 + 0*b**5. Find the third derivative of p(n) wrt n.
600*n
Let m be 6/8 - 1 - (-99)/44. Differentiate 442*a**m - 664*a**2 - 22 + 94 with respect to a.
-444*a
Suppose 0 = -5*u + 2*a - 3, -3*u = -u - 5*a - 3. Let t be 3/u + 12 - 3. Find the third derivative of -3*s**2 + 7*s**6 - 3*s**2 + s**t - 2*s**6 wrt s.
720*s**3
Let n be (-8*(-24)/32)/(4/18). Find the second derivative of 6 - 20*t - 6 + 62*t + 119*t - n*t**3 wrt t.
-162*t
Find the second derivative of -900*h - 1835*h + 194*h**5 - 199*h**5 - 578*h**5 wrt h.
-11660*h**3
Let j(o) = 2*o**3 - 39*o**2 - 21*o + 23. Let x be j(20). Find the third derivative of -37*g**x - 2*g**2 - 4 + 44*g**3 - 5 - 55*g**3 wrt g.
-288
Suppose -10*k = -16*k + 12. Let h = -16 + 38. Find the second derivative of -2*l + 5*l**k + h*l - 5*l wrt l.
10
What is the third derivative of -2*h**2 - 35*h**5 + 8082 - 2451*h + 32*h**4 - 8195 + 2449*h wrt h?
-2100*h**2 + 768*h
Let q(d) be the first derivative of 10 + 3 + d**2 + 289*d**5 - 69*d - 281*d**5. What is the derivative of q(u) wrt u?
160*u**3 + 2
Let p(m) be the first derivative of -263*m**7/840 + 37*m**4/6 - 31*m**3 + 72. Let j(a) be the third derivative of p(a). Differentiate j(x) with respect to x.
-789*x**2
Let c(p) be the first derivative of 1028*p**5/5 + 1117*p**3/3 + 1092. Find the third derivative of c(l) wrt l.
24672*l
Let f(i) be the second derivative of -150*i**5 + 311*i**2 - 1504*i. Find the first derivative of f(r) wrt r.
-9000*r**2
Let q(n) = -68. Let x = -199 - -204. Let m(y) = -y**2 + 2*y + 138. Let f(l) = x*q(l) + 3*m(l). What is the first derivative of f(t) wrt t?
-6*t + 6
Let r(x) = -16*x - 1. Let q(p) = 167*p + 624. Let d(y) = -q(y) - 6*r(y). What is the derivative of d(u) wrt u?
-71
Find the second derivative of -1361*m**3 + 273*m**2 - 481*m**3 - 271*m**2 - 3*m + 3*m**4 - 131 wrt m.
36*m**2 - 11052*m + 4
Differentiate 520*x**4 + 250*x**4 - 612 + 2816 wrt x.
3080*x**3
Let o = -228 - -535. What is the derivative of o*d**4 - 19 + 100 - 102*d**4 wrt d?
820*d**3
Let i(l) be the third derivative of -l**4/8 - 5*l**3/6 - 16*l**2. Let v be i(-3). Find the second derivative of -1189*r**2 + 1189*r**2 - 13*r - 12*r**v wrt r.
-144*r**2
Let a = 5 + -2. Suppose -2*z - 3*q = 2*z - 14, 3*q = a*z. Find the first derivative of -5 + z*l**3 - 9*l**3 - 14 + l**3 wrt l.
-18*l**2
Let p(w) be the first derivative of 4983*w**4/4 + 2*w**3/3 - 3*w**2/2 + 85*w + 2198. What is the third derivative of p(v) wrt v?
29898
Let j be 0/(-8 + -11 + 17). Let f(y) be the second derivative of j*y**4 + 1/2*y**3 + 0*y**2 + 0 - 7*y + 3/20*y**5. What is the second derivative of f(i) wrt i?
18*i
Let a(j) be the first derivative of -3001*j**6/6 + 3670*j**3/3 + 5870. What is the third derivative of a(n) wrt n?
-180060*n**2
Let q(k) be the first derivative of -3069*k**4/2 - 4988*k + 5742. What is the first derivative of q(j) wrt j?
-18414*j**2
Let k(y) = y**3 - 14*y**2 + 32*y + 15. Let d be k(11). What is the second derivative of d*q**2 - 54*q + 6*q + 5*q wrt q?
8
Let j = -23 + -24. Let l = j - -49. What is the second derivative of 6*k**l - 15*k + k**2 + 0*k**2 + 27*k wrt k?
14
Let j(i) be the first derivative of 7*i**6/2 + 2*i**5/5 + 19*i**3 - 13*i**2/2 - 2518. What is the third derivative of j(p) wrt p?
1260*p**2 + 48*p
Let u be 24/30*5/16*0. Let i(w) be the first derivative of 5/2*w**2 - 3*w**3 + u*w - 16. Find the second derivative of i(l) wrt l.
-18
Let p(q) be the third derivative of 63*q**6/20 - q**5/60 - 707*q**4/24 + q**3/3 + 1113*q**2. Find the second derivative of p(f) wrt f.
2268*f - 2
Let p = 337 + -293. Find the first derivative of -13*m**2 + 43 - 29 - p*m**2 wrt m.
-114*m
Let d = -155 - -157. Find the third derivative of 22*a**d - 2*a**4 + 19*a**2 - 30*a**6 - 21*a**2 + 13*a**2 wrt a.
-3600*a**3 - 48*a
Let g(o) = 55*o - 15 - 27*o - 24*o. Let z be g(5). What is the second derivative of -4*r**5 - 3*r**z + 5*r**5 + 4*r**5 - 2*r wrt r?
40*r**3
Let w(j) = 4*j + 5*j**2 + j + 0 + j**3 + 2. Let h be w(-3). Find the second derivative of -35*m**4 + 0*m + 15*m**h - 9*m + 35*m**4 wrt m.
300*m**3
Let o(j) = 5*j**2 - 30*j - 168. Let d be o(-6). What is the second derivative of 18*k - 3 + 16*k - 21*k - d*k**2 wrt k?
-384
Let f(z) be the second derivative of -11*z**5/20 + 193*z**4/12 + 605*z**3/2 - z + 1610. Find the second derivative of f(a) wrt a.
-66*a + 386
Suppose 57*g = 50*g + 52514. Find the second derivative of -34*n - 7457*n**2 - 93*n + g*n**2 wrt n.
90
Let a(q) be the second derivative of -38/21*q**7 + 0 + 0*q**6 + 70*q + 0*q**4 + 0*q**5 - 1/6*q**3 - 149/2*q**2. Find the second derivative of a(b) wrt b.
-1520*b**3
Let b = -3687/2 - -1845. Let v(z) be the first derivative of 0*z**3 - b*z**4 + 0*z**2 + 12 + z. Differentiate v(m) wrt m.
-18*m**2
Let p(g) be the third derivative of 0 - 16*g**2 + 0*g**4 + 1/60*g**6 + 2*g + 47/10*g**5 + 0*g**3. Find the third derivative of p(r) wrt r.
12
Find the third derivative of 264*t**5 + 4282*t**2 - 5024*t**2 + 135*t**5 + 393*t**5 - 50*t**5 wrt t.
44520*t**2
Suppose 8*d + 71 = 23. Let y(z) = 68*z**3 - 6*z + 56. Let f(j) = -407*j**3 + 34*j - 336. Let s(i) = d*f(i) - 34*y(i). Differentiate s(m) wrt m.
390*m**2
Let i = -49 + 56. Suppose i*q - 19 - 86 = 0. Find the third derivative of 0 - 6*u**2 + 0 - q*u**5 + 22*u**2 wrt u.
-900*u**2
Let q(r) = 20*r**5 + 656*r. Let y(b) = -131*b - 923*b**5 + 461*b**5 + 458*b**5. Let s(v) = 3*q(v) + 16*y(v). What is the second derivative of s(h) wrt h?
-80*h**3
Suppose -96 = -9*l + l. Let h be (-74)/(-26) - l/78*-1. What is the second derivative of h*c - c - 3*c**3 - 16*c wrt c?
-18*c
Let j(r) = -19*r**2 + r + 32. Let f(o) = 18*o**2 - 2*o - 33. Let t(b) = 5*f(b) + 4*j(b). Let z(a) be the first derivative of t(a). Differentiate z(l) wrt l.
28
Let b(n) be the third derivative of n**8/168 + n**7/210 + 109*n**6/10 + 6329*n**4/24 - n**3/3 - 2*n**2 + 14*n - 27. Find the second derivative of b(i) wrt i.
40*i**3 + 12*i**2 + 7848*i
Let d(l) be the first derivative of 7*l**6/15 - l**4/8 + 39*l**2/2 + l - 9. Let y(q) be the second derivative of d(q). Find the second derivative of y(s) wrt s.
336*s
Find the second derivative of 53*r**3 - 1189*r - 114*r**3 - 6*r**4 + 293*r + 58*r**3 - 118*r**4 wrt r.
-1488*r**2 - 18*r
Find the second derivative of 20*s**4 + 15*s**4 - 1044*s - 41*s**2 + 103*s**2 - 61*s**2 wrt s.
420*s**2 + 2
Let y(b) = 52*b + 66. Let c(i) = -i - 1. Let o be (-2)/3*45/6. Let t(v) = o*c(v) + y(v). What is the derivative of t(s) wrt s?
57
Let j(p) be the second derivative of 309*p**5/20 + p**4/12 + 79*p**3/6 - 2*p**2 - 23*p - 69. Find the second derivative of j(o) wrt o.
1854*o + 2
Let n(g) be the second derivative of 0*g**2 + 0*g**3 - 37*g - 83/6*g**4 - 133/20*g**5 + 0. What is the third derivative of n(c) wrt c?
-798
Let b(h) = 268*h**4 - 17*h**3 + 21*h**2 + 4628. Let a(p) 