derivative of 44*n**4 + 24*n**a + 40*n**5 - 44*n**4 - 91*n**2 wrt n.
2400*n**2
Let i(z) = 9*z**2 - 2. Let p be i(-1). What is the second derivative of -60*d**2 + 0 + 1 + 1 + p*d + 13*d + 6*d**2 wrt d?
-108
Differentiate -29*t**2 + 74*t + 1004 - 29*t - t - 170*t**2 - 32*t wrt t.
-398*t + 12
Let m(n) be the second derivative of 293*n**6/30 + n**5/10 - 71*n**4 + 24*n. Find the third derivative of m(y) wrt y.
7032*y + 12
Let q(k) be the first derivative of -411*k**4/4 - 827*k**3/3 - 2*k + 2316. Find the third derivative of q(r) wrt r.
-2466
What is the second derivative of -1036*d + 1 + 13 + 458*d**4 + 656*d**4 - 16 wrt d?
13368*d**2
Let c(u) be the second derivative of 139/12*u**4 + 0 + 0*u**3 + 20*u - 203/2*u**2. What is the derivative of c(x) wrt x?
278*x
Let i(y) be the first derivative of -y**8/24 - 19*y**4/6 + y**3/3 - y + 117. Let r(d) be the third derivative of i(d). What is the derivative of r(a) wrt a?
-280*a**3
Let l(z) be the first derivative of 16*z**4 + 78 + 2/3*z**3 + 15/2*z**2 + 0*z. What is the third derivative of l(k) wrt k?
384
Let l(k) be the third derivative of 321*k**6/40 + 86*k**5/5 - 953*k**2. Find the third derivative of l(v) wrt v.
5778
Let o(t) = -8*t + 23. Let h be o(-16). Suppose 0 = 7*d - h - 2453. What is the third derivative of -21*a**2 - d + 19*a**3 + 372 wrt a?
114
Let g(s) be the third derivative of -5837*s**6/120 - s**5/20 - 241*s**4/24 - 1654*s**2. What is the third derivative of g(v) wrt v?
-35022
Suppose -3*k = 5*d + 6, 10 = 5*d - d - 5*k. Find the third derivative of -7*o**4 + 9*o**4 - 63*o**2 + d*o**3 + 16*o**4 - o**4 - o**3 wrt o.
408*o - 6
Suppose -11*d = 12*d + 18*d - 8*d. Let x(h) be the first derivative of -19/2*h**2 + 0*h**3 + d*h + 3/4*h**4 + 18. Find the second derivative of x(v) wrt v.
18*v
Let p(o) be the second derivative of -1325*o**3/6 + 107*o**2/2 - 338*o. Differentiate p(g) with respect to g.
-1325
Let b(u) be the first derivative of 1108*u**5/5 + 177*u - 416. Differentiate b(q) with respect to q.
4432*q**3
Suppose 3*b - 1 = r + 3, 2*r = 2*b + 4. Suppose 13*h = r*h + 24. Find the third derivative of -167 + 167 - 9*x**h + 32*x**2 wrt x.
-54
Suppose 0 = -4*o + 5*s + 328, 5*s = 5*o - 21 - 394. Suppose o = 10*j - 63. Find the second derivative of -j*h + 45*h**4 + h - 24*h**4 wrt h.
252*h**2
Let f be (68/6 + -12)*-3. Suppose -p - 3 - 1 = -4*m, 2*m + 5*p - 24 = 0. Differentiate 2*r - f*r + 3 - 11 - 7*r**m wrt r.
-14*r
Let n(m) = -2*m**3 - 6*m**2 + 7*m. Let f be n(-4). Suppose 2 = -0*r + r. What is the second derivative of 21*a**r - 80 + 80 + f*a wrt a?
42
Find the third derivative of -76*m**5 - 63294 + 11*m**4 + 31643 - 3159*m**2 + 31651 wrt m.
-4560*m**2 + 264*m
Let t(c) be the second derivative of 856*c**3/3 + 9693*c**2/2 - 324*c. Differentiate t(p) wrt p.
1712
Let f be 0 - 2/(-9) - 1942/8739. Let k(s) be the first derivative of 0*s + f*s**4 + 0*s**3 - 6*s**2 + 13 + 2/5*s**5. Find the second derivative of k(i) wrt i.
24*i**2
Let i(t) be the second derivative of t**5/20 + 1097*t**3/6 + 323*t**2 - t - 23. Find the first derivative of i(c) wrt c.
3*c**2 + 1097
Let k(r) = 6*r**4 + 164*r**2 - 3*r - 215. Let p(y) = -5*y**4 - 166*y**2 + 2*y + 215. Let q(b) = 2*k(b) + 3*p(b). Differentiate q(i) with respect to i.
-12*i**3 - 340*i
Let p(t) be the second derivative of -173*t**4/4 + 1001*t**3/6 - 32*t - 17. What is the second derivative of p(g) wrt g?
-1038
Let j(r) be the second derivative of 13/2*r**2 + 0 - 93*r - 3/2*r**4 + 0*r**3. What is the derivative of j(y) wrt y?
-36*y
Let s(w) be the second derivative of -218*w + 108*w**2 + 0 - 71/3*w**3. Find the first derivative of s(m) wrt m.
-142
Suppose 6*x - 48 = -10*x. Let r(y) = -y**3 + y - 2. Let j(k) = -93*k**3 + 115*k**2 - 3*k + 6. Let a(n) = x*r(n) + j(n). Find the third derivative of a(v) wrt v.
-576
Let b(q) = 424*q**2 - 12*q - 1576. Let u(y) = -y - 1. Let o(j) = b(j) - 12*u(j). Differentiate o(k) wrt k.
848*k
Let c(m) = -2176*m**2 - 3473*m + 4. Let i(x) = -8692*x**2 - 13893*x + 18. Let w(u) = -9*c(u) + 2*i(u). What is the second derivative of w(n) wrt n?
4400
Let y(s) be the third derivative of s**8/336 - 39*s**7/35 + 173*s**4/4 + 2*s**2 - 501. What is the second derivative of y(u) wrt u?
20*u**3 - 2808*u**2
Let u(b) = -b**3 + b**2 + 1. Let p be 34/(-10) + (-33)/55. Let c(v) = 3*v**3 + 4*v**2 + 59. Let i(m) = p*u(m) + c(m). Differentiate i(d) with respect to d.
21*d**2
Let l(u) = 4727*u - 8318. Let f(g) = 1567*g - 2772. Let d(s) = 7*f(s) - 2*l(s). Differentiate d(k) with respect to k.
1515
Suppose -32*j + 30*j + 11862 = 0. What is the third derivative of -8*b**3 - 43*b**2 - b**3 - j + 5931 wrt b?
-54
Find the second derivative of -187*f**4 - 36*f**3 - 217*f**4 + 4*f**5 + 3 + 2207*f + 402*f**4 - 3 wrt f.
80*f**3 - 24*f**2 - 216*f
Let u = 16949 + -16943. Let w(s) be the first derivative of 3 + 9*s**3 + 0*s**2 - 9/2*s**u + 0*s**4 + 0*s + 0*s**5. What is the third derivative of w(l) wrt l?
-1620*l**2
Let u(h) be the first derivative of 3*h**4/4 - 8*h**3/3 + 47. Let f(s) = -s**3. Let g(l) = 20*f(l) - 5*u(l). Find the third derivative of g(d) wrt d.
-210
Find the second derivative of 364*j**3 + 3*j**2 - 60*j**3 - 743*j + 238*j**3 - 394*j + 56*j**3 + 1 wrt j.
3588*j + 6
Let o(f) be the third derivative of 557*f**8/168 + 965*f**4/12 + 604*f**2. Find the second derivative of o(j) wrt j.
22280*j**3
Let x(d) = 6*d**2 - 21*d + 71. Let c be x(5). Find the third derivative of 621*s**3 + c*s**2 - 311*s**3 - 133*s**4 - 310*s**3 wrt s.
-3192*s
Let l = -2 - -18. Let d = 19 - l. What is the third derivative of 3*j**3 + 4*j**2 + 8*j**3 - j**3 + 5*j**d wrt j?
90
Let h be ((8 - 8)/3)/(-4 + 6). Let x(q) be the first derivative of 21*q + h*q**2 + 0*q**4 - 19 + 0*q**3 - 11/5*q**5. What is the first derivative of x(m) wrt m?
-44*m**3
Let q(y) be the third derivative of 1093*y**6/120 + y**5/60 + y**4/12 - 6553*y**3/6 + 7195*y**2. Find the first derivative of q(g) wrt g.
3279*g**2 + 2*g + 2
Find the third derivative of 241*r**6 + 1011*r**6 - 122624*r**2 + 3*r**5 + 119923*r**2 - r**5 wrt r.
150240*r**3 + 120*r**2
Let y be (2 - 40/15)*3. Let p be y/(-2) - 15/(-5). What is the third derivative of -7 + 16*x**2 + 15*x**6 - p + 11 wrt x?
1800*x**3
Let f be -3 + 1 + -1 + 3. Suppose -4*i + 8 + 0 = f. What is the derivative of 1 - 1 - 4*q**i + 9*q**2 + 3 wrt q?
10*q
Let u(m) be the third derivative of m**5/60 + 1378*m**4/3 - 677*m**3/6 + 7*m**2 + 7. Differentiate u(w) with respect to w.
2*w + 11024
Let q(x) be the second derivative of -569*x**5/5 + x**3/6 - 2028*x**2 - 100*x + 17. What is the first derivative of q(a) wrt a?
-6828*a**2 + 1
Let m(s) be the second derivative of -1267*s**6/30 - 1237*s**4/12 - 99*s + 6. What is the third derivative of m(y) wrt y?
-30408*y
Let u(j) be the second derivative of 6001*j**5/20 + 55*j**4/6 - 5*j**3/6 + j**2 + 6*j - 195. Find the third derivative of u(b) wrt b.
36006
Let x(u) = 41*u - 131*u - 3*u**2 + 61*u - 171 + 0*u**2. Let t(v) = 5*v**2 + 57*v + 345. Let c(p) = 4*t(p) + 7*x(p). What is the first derivative of c(h) wrt h?
-2*h + 25
Let x(b) = 2*b**2 - 3*b + 58. Let s be x(0). Suppose 0 = 62*r - s*r - 12. Find the third derivative of 4*a**3 + a**3 + a**5 - 47*a**2 - 3*a**r - 2*a**5 wrt a.
-60*a**2 + 12
Let z(s) be the third derivative of 138*s**5/5 - s**4/8 + 13*s**3/3 + 155*s**2 + 2*s. Find the second derivative of z(q) wrt q.
3312
Let f(c) = -8*c - 71. Let z be f(-9). What is the first derivative of -4*w**4 + 8 + w**4 + z + 97 wrt w?
-12*w**3
Let y(p) be the third derivative of p**6/120 + 337*p**5/15 - 102*p**3 - 29*p**2 - 10. What is the first derivative of y(c) wrt c?
3*c**2 + 2696*c
Suppose 3*p - 4*w - 28 = 0, 3*w = 5*p - 0*p - 32. Differentiate -34*y**2 - 55 + y**3 - 3*y**3 + 8*y**p + 34*y**2 wrt y.
32*y**3 - 6*y**2
Let u(r) = 50*r**3 + 8*r + 41. Let w = 4 - -1. Suppose -w = -q + 2*q. Let y(o) = 33*o**3 + 5*o + 27. Let d(t) = q*u(t) + 8*y(t). Differentiate d(x) wrt x.
42*x**2
Let x(u) = 312*u + 669. Let v(d) = 12 + 31*d + 22 + 4 + 29. Let h(b) = -21*v(b) + 2*x(b). Find the first derivative of h(c) wrt c.
-27
Suppose u = -22 + 24. Suppose -3*j = -u - 4. Find the third derivative of 2*d**j - 2 + 4*d**2 - d**4 + 2 wrt d.
-24*d
Suppose 2*r - 260 = -5*j, j - 45 + 329 = 2*r. What is the third derivative of r*m**4 + 49*m**2 - 977*m + 977*m wrt