4*f + 10*f + 182, 4*s - 184 = -4*f. What is the second derivative of 14*c**2 + f*c**2 + 43 + 2*c**4 - 7*c - 3*c**4 - 39 wrt c?
-12*c**2 + 124
Let a(s) = -781*s**4 + 14*s**3 - 28*s + 5768. Let n(k) = -391*k**4 + 6*k**3 - 12*k + 2884. Let b(f) = -3*a(f) + 7*n(f). What is the derivative of b(w) wrt w?
-1576*w**3
What is the second derivative of -3*k**2 + 11*k**3 + 10*k**3 - 129*k**4 - 65*k**3 + 45*k**3 - 4178*k + 10461*k wrt k?
-1548*k**2 + 6*k - 6
Suppose -2*a + 5*b + 0*b + 218 = 0, -a = b - 102. Find the second derivative of 5*k**3 - 71*k**2 + 6*k**4 - a*k + 71*k**2 wrt k.
72*k**2 + 30*k
Find the third derivative of 56*b**2 - 607*b + 117*b**5 - b**4 + 138*b**5 + 607*b + 2 - 11 wrt b.
15300*b**2 - 24*b
Suppose -20 = -5*u, 0*u - 52 = 4*k + 3*u. Let n be 3677/13 - k/104. What is the first derivative of n*f - 22 + 16*f**2 - 283*f wrt f?
32*f
Let l(n) be the first derivative of 1241*n**2/2 - 509*n - 824. What is the first derivative of l(j) wrt j?
1241
Let c(i) be the second derivative of -24*i**2 - 39/14*i**7 + 0*i**4 + 0*i**5 - 1/6*i**3 - 13*i - 5 + 0*i**6. What is the second derivative of c(q) wrt q?
-2340*q**3
Suppose -22*m + 24*m + 196 = 0. Let t = -30 - m. What is the derivative of -39 + 15*z - 37 + t wrt z?
15
Let w(p) be the first derivative of 2782*p**7/7 + 4*p**3/3 + 4*p**2 - 29*p - 440. Find the third derivative of w(z) wrt z.
333840*z**3
Let o(y) = -y**2 - 20*y - 61. Let f be o(-16). What is the second derivative of 1 - 29 - 3*w**f + w**3 + 14*w**2 + 2*w - 28 wrt w?
-12*w + 28
Differentiate 988 - 1403*l**2 - 2088 + 883 with respect to l.
-2806*l
Let z(t) be the first derivative of -4239*t**2/2 - 7527*t - 7925. What is the derivative of z(h) wrt h?
-4239
Let b(p) be the second derivative of -7271*p**4/12 - 868*p**2 + 3*p + 10. Differentiate b(n) wrt n.
-14542*n
Let p(k) = k**3 + k**2 - k - 1. Let w(q) = 3635*q**3 - 8*q**2 - 113*q + 4. Let o(u) = -4*p(u) - w(u). Find the third derivative of o(i) wrt i.
-21834
Let u(t) be the third derivative of 0*t**4 + 61/6*t**3 + 5*t**2 + 0 + 5*t + 0*t**5 - 1/40*t**6. Differentiate u(y) wrt y.
-9*y**2
Let h(d) be the second derivative of -4879*d**5/20 + 747*d**2 + 119*d - 7. Find the first derivative of h(k) wrt k.
-14637*k**2
Let h(z) = -20*z**4 - z**3 + z**2 - 22*z - 3. Let g(x) = 3 + 16*x + 12*x - 29*x - 4 - x**2. Let o(p) = 3*g(p) - h(p). Find the third derivative of o(t) wrt t.
480*t + 6
Differentiate -3095*t**2 + 1329 - 2*t + 1717 + 6198*t**2 - 3103*t**2 + 1407*t**3 with respect to t.
4221*t**2 - 2
Let j(t) = -t**3 + 9*t**2 + 3*t - 7. Let v be j(4). What is the third derivative of 104*r**2 - 240*r**4 + v*r**2 - 11*r**2 + 267*r**4 wrt r?
648*r
Let v(u) be the third derivative of -229*u**6/60 - u**5/30 + u**4/8 - 3809*u**3/2 + 3254*u**2. What is the derivative of v(x) wrt x?
-1374*x**2 - 4*x + 3
Let a(l) = l**2 + 10*l + 14. Let d be a(-9). Suppose -9 = -d*c + 1. Find the third derivative of 10*u**2 - 32*u**5 + 25*u**5 + u**c wrt u.
-420*u**2
Let r(g) be the first derivative of 217*g**3/3 - 312*g**2 - 110. What is the second derivative of r(z) wrt z?
434
Differentiate -3299 + 19*u**2 + u**4 + 3212198*u - 3212198*u with respect to u.
4*u**3 + 38*u
Suppose 0 = 6*u - 4 - 8. Let q(h) be the second derivative of 17*h - 7*h**2 + 10*h**2 + 4*h**u + h**4. Differentiate q(x) wrt x.
24*x
Suppose -2*n + 3*x = -22 - 23, 0 = -4*n + 5*x + 85. Suppose n*w - 11*w - 40 = 0. What is the second derivative of 7 - 17 - 13*z + w + z**2 wrt z?
2
Let f(v) be the second derivative of 976*v**3/3 + 558*v**2 - 635*v. What is the first derivative of f(j) wrt j?
1952
Suppose 2*s = -10 + 32. Find the second derivative of 68037*d**4 + s*d - 68105*d**4 + d wrt d.
-816*d**2
Find the first derivative of -204 + 1102 - 76 + 3389 + 2425*y**2 wrt y.
4850*y
What is the second derivative of -12793*r**2 + 12850*r**2 - 700*r - 109*r - 11*r**3 - 784*r wrt r?
-66*r + 114
Let j(z) = -8*z**3 - z**2 + z + 2. Let y(u) = -1560*u**3 - 3*u**2 + 3*u + 6659. Let w(v) = 3*j(v) - y(v). What is the derivative of w(b) wrt b?
4608*b**2
Let k(s) = -31*s**3 + s**2 - s - 2. Let f be k(-1). Let a(r) be the first derivative of -f + r + 30 + 7*r**3 - 3*r. Find the first derivative of a(z) wrt z.
42*z
Let z(y) = -16*y**3 - 23*y + 1943. Let c(h) = -h**3 - h + 1. Let p(n) = -6*c(n) - z(n). What is the first derivative of p(u) wrt u?
66*u**2 + 29
Suppose -2 = a - 4*r + 17, 3*r = -3. Let g(x) = x**2 + 23*x + 5. Let f be g(a). Find the third derivative of -11*n**5 + 8*n**2 + 7*n**2 - 3*n**f wrt n.
-840*n**2
Differentiate 575629 - 1147277 + 576699 + 8726*z with respect to z.
8726
Let d(o) be the second derivative of 578*o**6/15 + 27*o**4 - 2*o**3/3 + 118*o + 9. Find the third derivative of d(g) wrt g.
27744*g
Suppose -3*v - r = -7, -5*v + v + 11 = 3*r. Let h = 877 - 875. What is the third derivative of 3*p**2 + 9*p**3 - v*p**2 - h*p**2 + 6*p**3 wrt p?
90
Let t be (-11)/(-5) - (-2)/(-10). Suppose -11*a + 7*a + 82 = -2*y, 3*a - y - 60 = 0. Differentiate -t*k**2 + a*k**2 + 6*k**2 - 27 wrt k.
46*k
Let s(n) be the first derivative of 14/3*n**3 - 1/2*n**4 + 82 - 23*n**2 + 0*n. Find the second derivative of s(j) wrt j.
-12*j + 28
Suppose 50*p = 56*p - 12. What is the third derivative of 17*k**p - 3 + 15*k**2 + 2 - 87*k**5 - 20*k**5 wrt k?
-6420*k**2
Let t(i) be the third derivative of -4499*i**4/24 - 3884*i**3/3 + 5383*i**2. Find the first derivative of t(s) wrt s.
-4499
Suppose 504 + 85 = 188*k - 163. Let s(g) be the second derivative of 31/6*g**3 - 1/2*g**k - 17*g + 0*g**2 + 0. What is the second derivative of s(w) wrt w?
-12
Let k(d) be the third derivative of 1/12*d**4 + 1/120*d**6 + 1/105*d**7 + 0 - 64*d**2 - 7/10*d**5 + 0*d + 0*d**3. What is the third derivative of k(i) wrt i?
48*i + 6
Let x(w) = -526*w**3 - 9*w**2 - 7*w + 79. Let t(d) = 525*d**3 + 6*d**2 + 5*d - 80. Let p(g) = 3*t(g) + 2*x(g). Find the second derivative of p(y) wrt y.
3138*y
Let v(o) = 4*o**3 - 2*o + 2. Let s(m) = -453*m**3 + 2*m**2 + 5*m + 96. Let h(f) = s(f) + 3*v(f). Find the third derivative of h(r) wrt r.
-2646
Let o(r) = 10*r + 63. Let k be o(-6). What is the third derivative of 221*g**3 - 160*g**k - g**2 - g**2 + 17 wrt g?
366
Let k(v) be the first derivative of 3139*v**4/4 + 962*v + 1973. What is the first derivative of k(z) wrt z?
9417*z**2
Let z be 10/15*(-24)/(-4). Find the second derivative of -8*p**2 + 22*p + 28*p + 6*p - z*p**3 wrt p.
-24*p - 16
Let t(y) = -4*y. Let s(j) = 889*j**2 - 16*j + 1197. Let c(h) = s(h) - 4*t(h). What is the derivative of c(r) wrt r?
1778*r
Suppose -4*w = -5*b + 390, 5*b - 343 = 5*w + 52. Let j be 1312/(-3608)*-11*1/2. Find the second derivative of -85*k**2 + 9*k - j*k + 16*k + b*k**2 wrt k.
-22
Let z(n) = 5*n**2 - 11*n**2 - 2*n**3 + 3*n**3 + 1 - n + 3*n. Let b be z(6). What is the third derivative of 23*j + 18*j**5 + 12*j**2 - 10*j - b*j wrt j?
1080*j**2
Let o(t) = 27418*t**3 - 96*t**2 - 8*t + 28328. Let u(y) = -18278*y**3 + 60*y**2 + 5*y - 18885. Let s(j) = 5*o(j) + 8*u(j). Differentiate s(r) with respect to r.
-27402*r**2
Let y(o) = -o**2 + 8*o + 12. Suppose 24 = -13*n + 16*n. Let f be y(n). What is the third derivative of 6*l**2 - 3*l**2 - f*l**2 - l**2 + 8*l**6 wrt l?
960*l**3
What is the third derivative of 462 + 485 + 99*q**2 + 1736*q**4 - 955 wrt q?
41664*q
Let r(w) be the first derivative of 241*w**6/3 + 5643*w**2/2 + 1044. Find the second derivative of r(c) wrt c.
9640*c**3
Let d(q) be the first derivative of -77/3*q**3 + 0*q**2 + 5 + 62*q. Find the first derivative of d(l) wrt l.
-154*l
What is the second derivative of 477*q**2 + 419*q**3 - 8732*q - 1 - 1004*q**2 + 514*q**2 wrt q?
2514*q - 26
Let z(b) be the third derivative of 11*b**7/105 - 13*b**6/30 - 2659*b**5/60 - 1726*b**2. Find the third derivative of z(y) wrt y.
528*y - 312
Find the third derivative of -235*n**6 + 193*n - 191*n - 585*n**6 + 572*n**2 wrt n.
-98400*n**3
Let r(i) be the third derivative of 12*i**2 + 47/24*i**4 + 0 + 0*i - 4/15*i**5 + 1/120*i**6 - 1/6*i**3. What is the second derivative of r(p) wrt p?
6*p - 32
Let n(z) = z**2 + 3*z + 21. Let p be n(-9). Let a be 6/(-8) - p/(-4). What is the second derivative of -28*r**5 + 44*r**5 - a*r**5 - 18*r wrt r?
-40*r**3
Let d(f) = -3592*f**3 + 6*f**2 + 8*f - 11066. Let o(z) = 14367*z**3 - 22*z**2 - 29*z + 44264. Let u(p) = 11*d(p) + 3*o(p