 first derivative of 91 + 0*w**4 + 0*w**2 + 18*w - 12/5*w**5 + 1/3*w**3. Differentiate d(q) with respect to q.
-48*q**3 + 2*q
Let s(j) be the third derivative of j**6/30 - 125*j**4/24 - 719*j**3/6 - 1146*j**2. Find the first derivative of s(c) wrt c.
12*c**2 - 125
Let q = 804 + -800. Find the third derivative of q*w + 175*w**6 + 242*w**2 - 4*w + w**2 + 61*w**6 wrt w.
28320*w**3
Let w = -454 - -459. Find the third derivative of 56*n**w - 58*n**2 - 90*n**2 - 101*n**5 wrt n.
-2700*n**2
Let r(z) = -z**3 - 13*z**2 + 15*z + 10. Let i be r(-14). Let k be (-2)/i + 47754/12. What is the third derivative of -19*w**2 - k - 24*w**5 + 3980 wrt w?
-1440*w**2
Let t(u) be the third derivative of 3719*u**5/30 + 9067*u**3/6 - u**2 - 2238*u. What is the first derivative of t(z) wrt z?
14876*z
Differentiate -840450*l**2 + 277*l - 3114 - 795 + 840458*l**2 wrt l.
16*l + 277
Let y = 388 - 385. What is the third derivative of 85*n**y - 399*n**4 - 25*n**3 + 398*n**4 + 223*n**2 wrt n?
-24*n + 360
Let l be -2*(-10)/(-4)*(-16)/10. Differentiate 5*k + l - k**2 - 18*k - k**2 with respect to k.
-4*k - 13
Let w(c) be the first derivative of 11*c**6/2 - 8*c**4 + 2205*c**2/2 - 2185. Find the second derivative of w(l) wrt l.
660*l**3 - 192*l
Let n(m) = -m**2 + 23*m - 18. Let j be n(22). What is the third derivative of -28*x**j + 113*x**2 + 26*x**4 + 4*x**3 - 14*x**2 wrt x?
-48*x + 24
Let a(i) be the first derivative of 361*i**5/5 + 835*i + 467. What is the derivative of a(p) wrt p?
1444*p**3
Let b(k) be the second derivative of k**5/10 - k**4/6 - 617*k**3/6 + 14685*k**2/2 + 30*k + 40. Differentiate b(d) wrt d.
6*d**2 - 4*d - 617
Suppose -i + 4 = -p - 4*i, 5*p = -4*i + 13. Find the third derivative of 367*a + 235*a**p - 401*a + 70*a**5 + 4*a**2 wrt a.
18300*a**2
Let v(c) = -311*c + 33. Let j(x) = 310*x - 30. Suppose 111*h = 103*h - 32. Let d(y) = h*v(y) - 3*j(y). Find the first derivative of d(a) wrt a.
314
Differentiate -227 - 550*c**3 + 425 + 192 - c**4 wrt c.
-4*c**3 - 1650*c**2
Let i be 1*-2 - (-37 + 32). What is the first derivative of 417*h**3 - 35 - 5 - 209*h**3 - 208*h**i - 152*h**4 wrt h?
-608*h**3
Let v(u) be the first derivative of u**6/20 + 5*u**3/2 + 26*u**2 - 37. Let r(q) be the second derivative of v(q). What is the derivative of r(w) wrt w?
18*w**2
Let b(x) be the first derivative of 0*x**2 - 8/3*x**3 + 0*x**4 + 2*x + 55/3*x**6 + 26 + 0*x**5. Find the third derivative of b(y) wrt y.
6600*y**2
Suppose 5*a = -15, 2*f - 15 = -f - 3*a. What is the first derivative of -12*m + 13*m - 2*m - f*m + 54 - 4*m - 4*m**3 wrt m?
-12*m**2 - 13
What is the second derivative of 5*q**4 - 6*q**4 - 339*q - 496*q - q**4 + 51*q + 215*q**3 wrt q?
-24*q**2 + 1290*q
Let m = -283 - -323. Differentiate 113*v**2 - 7*v**2 + 6*v - m - 9*v + 166 + v wrt v.
212*v - 2
Let m(g) = -3*g. Let n be m(-1). Suppose 3*h - n = 18. Find the second derivative of -8*b**3 + 9*b - 21*b - h*b - 11*b**3 wrt b.
-114*b
Let m(s) = -43*s**4 + s**3 - 2219. Let b(o) = 20*o**4 + 1113. Let c(z) = 7*b(z) + 4*m(z). What is the first derivative of c(q) wrt q?
-128*q**3 + 12*q**2
Let t(b) be the third derivative of 9793*b**6/120 + 3569*b**3/6 - 404*b**2. Find the first derivative of t(j) wrt j.
29379*j**2
Let b(j) be the second derivative of 1/3*j**3 - 47*j + 0 - 4/3*j**4 - 4/5*j**5 + 0*j**2. What is the third derivative of b(s) wrt s?
-96
Let w(m) = -12*m**3 + 4*m**2 + 2*m. Let i be w(-1). Find the third derivative of 2*a**5 + 2*a**5 + i*a**6 + 15391*a**2 - 15390*a**2 + 11 wrt a.
1680*a**3 + 240*a**2
Suppose -o = -31 - 6. Suppose 11 = 8*r - o. What is the first derivative of 3 - 12 - 10 + r*w**4 wrt w?
24*w**3
Suppose -5*b - 14 = -2*m, -3*m + 11*b = 8*b - 12. Let j = 6 + -4. What is the derivative of 3*q**j - 1 - 12*q**2 + 5*q**m + 9*q**2 wrt q?
10*q
What is the third derivative of 635 + 635 - 1270 - 979*u**2 - 2965*u**5 - 3673*u**5 wrt u?
-398280*u**2
What is the second derivative of -101*g + 186 - 7*g**3 + 7*g**3 - 88 - 5*g**2 - 89 - 522*g**5 wrt g?
-10440*g**3 - 10
Find the second derivative of 305*n + 314*n - 43*n**4 - 3*n**3 - 620*n - 2810 wrt n.
-516*n**2 - 18*n
Let s be (-6)/(-1)*(-126)/(-378). Let g(y) be the second derivative of 0*y**4 - 33*y + 0*y**s + 29/20*y**5 + 0 - y**3. Find the second derivative of g(k) wrt k.
174*k
Suppose -2 = 6*p - 26. Let f(v) = 35*v - 15. Let u be f(p). What is the first derivative of -33 - u*j**3 + 287*j**3 - 136*j**3 wrt j?
78*j**2
What is the first derivative of -2022 + 1304 - 23*c**2 + 56*c**2 wrt c?
66*c
Let u be (1/(-2))/((-6)/156). Find the second derivative of 14*p - 16*p + 7*p - 58*p**4 + u*p wrt p.
-696*p**2
What is the third derivative of -10886*u**6 - 1218284*u**2 + 1 + 1217345*u**2 - 433*u**6 wrt u?
-1358280*u**3
Let x(t) be the second derivative of 37*t**4/2 + 5*t**3/2 - 33*t**2/2 + 260*t. What is the second derivative of x(z) wrt z?
444
Suppose 0 = 5*n - 67 + 42. Suppose n*o + 2*o = 63. Find the second derivative of -4*a**3 - 10*a + o*a**3 - 14*a wrt a.
30*a
Suppose 3*c - 25 = -4*x, 30*x - 29*x - 5*c = -11. Find the third derivative of p + 58*p**2 + p**4 - 9*p**x + 7*p**4 + p**4 + 221*p**5 wrt p.
13260*p**2
Let z(x) be the first derivative of 1221*x**3 + 13265*x - 964. Differentiate z(i) wrt i.
7326*i
Differentiate 47 - 98 + 76 - 309*v + 83 + 1515*v with respect to v.
1206
Let b(w) be the second derivative of 548*w**6/5 - 17*w**4/12 + 15*w**3/2 + 6054*w. What is the third derivative of b(h) wrt h?
78912*h
Let b(h) = -288*h**2 - 33*h - 10877. Let n(o) = -95*o**2 - 12*o - 3625. Let p(i) = 2*b(i) - 7*n(i). What is the derivative of p(v) wrt v?
178*v + 18
Let u = -48 + -6. Let p = -43 - u. What is the first derivative of -4*x**4 - p + 0*x**4 - 26*x**4 - 6*x**4 wrt x?
-144*x**3
Suppose 17 = -19*r + 8 + 9. Let o(q) be the first derivative of -15 + 7/5*q**5 - 23/3*q**3 + 0*q**4 + r*q + 0*q**2. What is the third derivative of o(w) wrt w?
168*w
Let j be (-98)/(-35) - (-24)/(-30). What is the third derivative of -52*l - 2*l**5 + 104*l - 52*l - 20*l**j wrt l?
-120*l**2
Let s(m) be the second derivative of -5*m**4/4 + 79*m**3/6 + 623*m**2 - 91*m - 9. Differentiate s(z) with respect to z.
-30*z + 79
Suppose 2*a - 540 = -8*a. Let y = a - 44. What is the second derivative of -26*r + y*r**5 + 0*r**5 + 12*r**5 - 5*r**5 wrt r?
340*r**3
Let r(g) be the second derivative of -289*g**6/6 + 427*g**2/2 - 657*g. Differentiate r(l) wrt l.
-5780*l**3
Suppose 68 = 5*y + 18. Let j be y/15*3*1. Find the third derivative of 56*o**5 + o**2 - 43*o**5 - 15*o**j wrt o.
780*o**2
Let t(u) be the second derivative of -1/3*u**3 + 65/2*u**2 - 1/20*u**5 - 50*u + 0 + 5/3*u**4. Find the second derivative of t(w) wrt w.
-6*w + 40
Let m = 100 - 95. Let x be (0*m/(-25))/(-1). What is the second derivative of l**2 + 7*l + 5*l + x*l**2 - 27*l**2 wrt l?
-52
Let c = 966 - 963. Let n(f) be the first derivative of 0*f + 22 - 19/4*f**4 + 0*f**2 - 5*f**c. Find the third derivative of n(g) wrt g.
-114
Let x(t) be the second derivative of -t**6/15 + 13*t**5/20 - 271*t**2/2 - 5*t - 29. What is the derivative of x(s) wrt s?
-8*s**3 + 39*s**2
Let k(f) be the first derivative of 27/4*f**4 - 134 + 0*f**3 + 0*f - 39*f**2. What is the second derivative of k(l) wrt l?
162*l
Let w(z) = 12*z + 8. Suppose 8*x = 6*x. Suppose 3*d - 6 - 6 = x. Let n(s) = -13*s - 9. Let f(r) = d*n(r) + 5*w(r). Find the first derivative of f(a) wrt a.
8
Suppose 134 = 4*t - 4*f + 2*f, -3*t = -2*f - 100. Differentiate -90*g + 148*g + t - 53*g - 100*g wrt g.
-95
Suppose -222 = -4*c - a + 220, 454 = 4*c - 5*a. Differentiate -13 + 4*u + c + 0*u + 40 wrt u.
4
Let q(b) = -3*b - 37. Suppose 5*x = 2*n - 61, 3*n = 2*x + 3 + 17. Let w be q(x). Find the third derivative of -38*s**w + 51*s**2 - 36*s**3 - 33*s**2 wrt s.
-216
Let r(d) be the third derivative of -10409*d**4/24 + 4366*d**3/3 - 8542*d**2. Find the first derivative of r(n) wrt n.
-10409
Let h(z) be the second derivative of -134*z**6/5 - 61*z**3 - 11*z + 2. What is the second derivative of h(v) wrt v?
-9648*v**2
Suppose -5*j - 5 = -3*l, -l + 2*l = 5. Differentiate -7*m - 16 - 6*m**2 - 3*m + m + 5*m**j with respect to m.
-2*m - 9
Suppose 22*f - 1467 = 3285. What is the derivative of -121*d**2 - 6*d**2 - f + 155 + 203 wrt d?
-254*d
Suppose -4*d + 8*d = -28. Let b(c) = -c**2 - 6*c + 10. Let m be b(d). Differe