4*c
Let n(t) = -t**4 + t + 1. Let y be 10*3/(-18)*3. Let c(z) = 2*z**5 - z**4 + z**2 + z + 1. Let k(h) = y*n(h) + 5*c(h). Find the third derivative of k(f) wrt f.
600*f**2
Let g(a) = -3*a**3 + 57*a**2 - 21. Let f(c) = -c**3 + 14*c**2 - 5. Let z = 14 - 9. Let j(i) = z*g(i) - 21*f(i). What is the third derivative of j(l) wrt l?
36
Find the second derivative of 94*t**4 - 12*t**5 + 426*t + 75*t**4 + 20*t**5 - 7*t**5 wrt t.
20*t**3 + 2028*t**2
Let w(l) = 17*l**2 + l - 17. Let i be w(-5). What is the third derivative of 403 - 40*o**3 + 17*o**2 - i wrt o?
-240
Let x(h) = h**3 + 4*h**2 - 2*h - 4. Let r be x(-4). Differentiate -2 - r - 1 + 4*w**4 - 2*w**4 wrt w.
8*w**3
Let p(t) be the third derivative of 5*t**8/336 + 23*t**6/40 - 5*t**5/6 + 5*t**3/6 - 72*t**2 + 1. Find the third derivative of p(n) wrt n.
300*n**2 + 414
Let t(v) = 94*v**4 - 18*v**2 - 9*v - 72. Let j(n) = 2*n**4 + 2*n**2 + n - 1. Let d(h) = 18*j(h) + 2*t(h). What is the first derivative of d(b) wrt b?
896*b**3
Let v(h) be the third derivative of h**7/70 + h**6/12 - 13*h**5/12 - 2*h**2 + 14*h. What is the third derivative of v(w) wrt w?
72*w + 60
Suppose x + b + 4*b = -8, 2*x + 3*b - 5 = 0. Suppose -5*w + 6 = -f, 5*w - x*f + 3*f = -6. Find the first derivative of 2 + 12*i - 12*i + i**w wrt i.
2*i
Let a(k) be the first derivative of 0*k**2 + 0*k + 14/5*k**5 + 0*k**4 - 10*k**3 + 11. What is the third derivative of a(b) wrt b?
336*b
Let f = -31 + 33. Differentiate -57*o**2 + 50*o**f + 0*o + 0*o + 11 with respect to o.
-14*o
Let w be 4/(-6) + (-8)/(-3). Differentiate 33 + 4*m**2 + 5*m**w - 34 with respect to m.
18*m
Let x(t) be the third derivative of 2*t**5/15 - 56*t**3/3 + 415*t**2. What is the derivative of x(h) wrt h?
16*h
Let x(n) = n**3 + n**2 - n + 13. Let z be x(0). Suppose 5*u - 12 = z. Find the third derivative of 3*s**u + 5*s**5 - 5*s**2 - 2*s**2 wrt s.
480*s**2
Let x(t) be the first derivative of 163*t**2/2 + 263*t - 272. What is the derivative of x(i) wrt i?
163
Differentiate 58035*a - 58035*a - 2*a**4 - 178*a**2 - 59 with respect to a.
-8*a**3 - 356*a
Let n(h) be the third derivative of 0*h + 0 - 1/30*h**5 - 8/3*h**3 - 17*h**2 + 0*h**4. Differentiate n(q) wrt q.
-4*q
Differentiate -51*q**4 + q**4 + 285 + 2*q**2 - 337 with respect to q.
-200*q**3 + 4*q
Let s = 48 - 43. Let w(y) be the first derivative of s + 0*y**2 - 3*y - 1/3*y**3. Differentiate w(x) with respect to x.
-2*x
Let a be 4 - (-5 + (2 - -2))*1. Find the second derivative of 17*n + 5*n + n**5 - 2*n**a - 14*n**5 wrt n.
-300*n**3
Let l(r) be the third derivative of -r**5/20 + r**4/24 - 158*r**3/3 - 291*r**2. Find the first derivative of l(w) wrt w.
-6*w + 1
Let j(l) = 2*l + 12. Let b be j(0). What is the third derivative of -8*z**5 + b*z**5 - 16*z**2 + 2*z**2 - 9*z**5 wrt z?
-300*z**2
Let z be ((-384)/66 - -6) + 62/22. Find the second derivative of r**4 - z*r**4 + 2647*r**3 - 30*r - 2647*r**3 wrt r.
-24*r**2
Let j(m) be the second derivative of 0 + 5*m + 0*m**3 - 1/4*m**4 + 5/2*m**2. Differentiate j(u) with respect to u.
-6*u
Let o(j) be the third derivative of 1/12*j**4 + 0*j + 4/35*j**7 + 15*j**2 + 0 + 0*j**3 + 1/60*j**6 - 1/15*j**5. Find the third derivative of o(p) wrt p.
576*p + 12
What is the third derivative of 2*w**2 - 3*w**2 - 21367 + 2*w**2 - 186*w**5 + 21471 wrt w?
-11160*w**2
Let s be 555/1406 + 4/38. Let p(f) be the first derivative of 5*f - 4 + s*f**2. Differentiate p(u) wrt u.
1
Let u(p) be the second derivative of 5*p**4/4 - 3*p**2 + 60*p. What is the derivative of u(b) wrt b?
30*b
Let p(f) = -f**3 + 11*f**2 - 16*f - 13. Let y be p(9). What is the second derivative of 14*m - 15*m**y + 19*m - 12*m wrt m?
-300*m**3
Let i(g) be the first derivative of 11*g**9/3024 - g**5/30 - 4*g**3/3 + 11. Let d(q) be the third derivative of i(q). Find the second derivative of d(r) wrt r.
220*r**3
Let a(i) = 356*i**4 - 9*i**3 + 409*i**2 - 3*i - 3. Let m(v) = 2*v**4 + 3*v**3 + v + 1. Let j(b) = -a(b) - 3*m(b). Find the third derivative of j(p) wrt p.
-8688*p
Let w(p) be the third derivative of 17*p**7/210 + p**4/12 + 5*p**3/6 + 127*p**2 + 1. Find the second derivative of w(u) wrt u.
204*u**2
Suppose a = 4*h - 8, 4*a - 6*h = -h + 1. What is the second derivative of -2*z + 3*z**4 + 4*z + z**a + z**4 wrt z?
60*z**2
What is the third derivative of 180*o**2 - 22*o**3 + 144*o**3 + 66*o**3 + 72*o**2 wrt o?
1128
Let l(x) be the first derivative of -x**10/630 + x**6/120 - 3*x**3 - 7. Let j(p) be the third derivative of l(p). What is the third derivative of j(b) wrt b?
-960*b**3
Let z(n) = -n**2 + 9*n - 1. Let s be z(8). Suppose 2*d - v = 25, 5*d = -v + 75 + 5. Differentiate -s*p**4 + 19*p**4 - d*p**4 - 2 wrt p.
-12*p**3
Let x(l) be the second derivative of 4/3*l**3 + 0 + 2*l**2 + 4*l. What is the first derivative of x(j) wrt j?
8
Suppose -6 + 32 = 13*z. Suppose 2*n + 10 = 3*u, -4*u = 5*n - 14 - 7. What is the third derivative of 2*s**6 + 3*s**u - 3*s**4 + 5*s**6 + z*s**2 wrt s?
840*s**3
Let r(u) be the third derivative of -73*u**6/120 - u**5/60 - 3*u**4/8 - u**3 + u**2 - 78*u. What is the second derivative of r(h) wrt h?
-438*h - 2
Let p(x) = 118*x**4 + 8*x - 598. Let a(s) = -79*s**4 - 5*s + 398. Let l(g) = 8*a(g) + 5*p(g). What is the first derivative of l(n) wrt n?
-168*n**3
Let i = 349 + -149. What is the derivative of -46 - 197*u**3 + 18 + i*u**3 - 20 + 5*u**4 wrt u?
20*u**3 + 9*u**2
Let u be (-66)/(-8) - 3/12. Let x be (2/(-8))/((-1)/u). Find the second derivative of 3*c - 5*c + 2*c**x - 2*c + 3*c wrt c.
4
Let t(v) = v**2 - 6*v + 5. Let d be t(6). Suppose 3*w - 16 = w + 4*p, 0 = -w + 3*p + d. Find the third derivative of w - r**2 + 8*r**6 - 14 wrt r.
960*r**3
Let z be 0/(-2) - 1*1/(-2). Let g(w) be the first derivative of -4 + 0*w + 0*w**3 + z*w**2 - 1/4*w**4. Find the second derivative of g(c) wrt c.
-6*c
Let x(z) be the second derivative of -16*z**7/21 + 7*z**3/6 + z - 30. What is the second derivative of x(y) wrt y?
-640*y**3
Let h(u) be the second derivative of u**9/1890 + u**7/420 + u**4/2 - 6*u. Let m(w) be the third derivative of h(w). What is the third derivative of m(k) wrt k?
192*k
Let o(y) be the first derivative of 45*y**4/4 - 7*y**3/3 - y + 109. What is the third derivative of o(r) wrt r?
270
Let k(h) = 85*h**2 - 24*h + 361. Let l(x) = -x**2 + 4*x. Let o(s) = -k(s) - 6*l(s). What is the first derivative of o(r) wrt r?
-158*r
Let r(c) = 11*c**3 - 16*c**2 - 3*c - 44. Let k(l) = 23*l**3 - 27*l**2 - 5*l - 89. Let d(q) = -3*k(q) + 5*r(q). What is the first derivative of d(f) wrt f?
-42*f**2 + 2*f
Let j(m) = -m. Let h(d) be the second derivative of -19*d**4/12 - 3*d**3 - 9*d. Let p(a) = -h(a) - 3*j(a). Find the second derivative of p(x) wrt x.
38
Let b(c) = 357*c**3 + 362*c**2 + 12*c + 6. Let y(v) = -1071*v**3 - 1085*v**2 - 34*v - 17. Let m(q) = 17*b(q) + 6*y(q). Find the third derivative of m(k) wrt k.
-2142
Let r(f) = -2*f**2 - 2*f + 3. Let p(m) = -444*m**2 - 10*m - 224. Let o(w) = -p(w) + 5*r(w). What is the derivative of o(a) wrt a?
868*a
Let u(m) = m - 18. Let p be u(21). Find the second derivative of 362*x**3 - 362*x**p - 6*x + 9*x**4 wrt x.
108*x**2
Let k(d) be the first derivative of 0*d**2 - 41*d + 2/3*d**3 - 44. Differentiate k(l) wrt l.
4*l
Differentiate -262*s - 608 + 1134 - 694 + 51*s with respect to s.
-211
Find the first derivative of -3 + 15 + 52 + 54*i wrt i.
54
Find the first derivative of -94*d + 67*d - 90*d + 120 - 104*d + 217 wrt d.
-221
Let x(b) be the first derivative of 23*b**2 + 124*b + 347. What is the first derivative of x(l) wrt l?
46
Let g = 272 + -271. Let k(i) be the first derivative of 0*i**3 - 2*i + g + 1/2*i**4 + 0*i**2. Differentiate k(m) wrt m.
6*m**2
Suppose 11 = 2*b + 1. Suppose b*k = 20, 2 = -2*j + 4*k - 4. Find the third derivative of 2 - 2 + 2*v**2 + 12*v**j + 9*v**2 wrt v.
720*v**2
What is the derivative of 150*j**3 + 13*j**3 - 72*j**3 + j**2 + 252 wrt j?
273*j**2 + 2*j
Let z be 1/(-3)*2*(-8 - -5). Suppose 5*j = -2*s + 30, -2*s + 0*s + j = -30. What is the second derivative of -r**z + 3*r**2 - s*r - r**2 + 16*r wrt r?
2
Let v(y) be the first derivative of 29*y**7/840 - 7*y**5/24 + 8*y**3/3 + 2. Let m(c) be the third derivative of v(c). Find the second derivative of m(n) wrt n.
174*n
Let w(h) be the first derivative of 16 + 0*h + 0*h**2 - 13/3*h**3 + h**4. Find the third deriv