w(y). Differentiate l(n) wrt n.
20*n + 3
Suppose 0 = s + 39 - 41. Differentiate 72*w**2 - 43 - 138*w**s + 68*w**2 + 27*w with respect to w.
4*w + 27
Differentiate f**4 + 11083*f**3 + 11*f**4 + f**2 - 6874 - 11087*f**3 with respect to f.
48*f**3 - 12*f**2 + 2*f
Let d(k) be the second derivative of 3151*k**6/30 - 386*k**4 - 3430*k. Find the third derivative of d(s) wrt s.
75624*s
What is the second derivative of -10533*k + 0 - 1074*k**3 + 10709*k + 2 - 1 wrt k?
-6444*k
Let d(t) = 5*t - 4*t + 17 - 7*t**2 + t**3 + 5*t + 5*t**3. Let w(a) = -a**3 - 1. Let z(u) = -d(u) - 4*w(u). What is the second derivative of z(x) wrt x?
-12*x + 14
Find the second derivative of -660*c**4 - 11200*c + 9256*c + 5240*c wrt c.
-7920*c**2
What is the third derivative of 14290*w**6 + 14290*w**6 + 2923*w**5 - 28577*w**6 - 8193*w**2 - 498*w**5 wrt w?
360*w**3 + 145500*w**2
What is the first derivative of -1302 - 10350*v**4 + 18269*v**4 - 9543*v**4 wrt v?
-6496*v**3
Suppose -30 = -4*s + 2*c, 0 = 4*s - c - 4*c - 27. Suppose h = 2*h - s. What is the derivative of 3 + 24*v - 5*v + h wrt v?
19
Let j(m) = 3346*m**3 + 27563*m**2 - 25*m + 25. Let r(s) = 279*s**3 + 2297*s**2 - 2*s + 2. Let g(x) = 2*j(x) - 25*r(x). Find the third derivative of g(l) wrt l.
-1698
Let j(q) = q**4 - 61*q**3 - 2*q - 263. Let t(c) = 2*c + 1. Let m = -140 + 139. Let v(k) = m*t(k) - j(k). Find the first derivative of v(d) wrt d.
-4*d**3 + 183*d**2
Let q(o) be the second derivative of o**5/10 - 23*o**3 + 1397*o**2/2 + 2*o - 751. Differentiate q(n) with respect to n.
6*n**2 - 138
Suppose t = -h + 10, -3*t - 5*h = -t - 29. Let b(g) = -g**2 + 9*g + 9. Let r be b(t). What is the third derivative of -r - 10*j**2 + 23 - 2*j**5 wrt j?
-120*j**2
What is the second derivative of 8 + 547*y + 10 + 3033*y**5 - 548*y wrt y?
60660*y**3
Suppose -2*w + 17 - 7 = 0. Suppose 0 = 2*p + 1 - 3, w*n - 9 = p. Find the second derivative of -4*g**5 + 13*g**5 + 8*g**5 + 12*g - n*g**5 wrt g.
300*g**3
Suppose -62 - 307 = -123*s. Let o(x) be the second derivative of -23/2*x**2 - 1/2*x**s + 6*x + 0. What is the derivative of o(k) wrt k?
-3
Let c(f) be the third derivative of 7 + 0*f + 1/20*f**5 + 5*f**2 + 0*f**4 + 139/120*f**6 + 1/2*f**3. What is the third derivative of c(n) wrt n?
834
Suppose 11*r + 40 = 16*r. What is the second derivative of -4*i**3 + r*i + i**5 - 31*i + 18*i - 5 wrt i?
20*i**3 - 24*i
Let k(b) = 270*b - 663. Let x(p) = 1033*p - 2651. Let y(c) = 22*k(c) - 6*x(c). Differentiate y(a) wrt a.
-258
What is the second derivative of 13*s**5 + 20*s**4 - 1141*s - 921265 + 0*s**5 + 921265 wrt s?
260*s**3 + 240*s**2
Let z = -104 - -160. Find the second derivative of -z*h**3 + 17*h + 18*h**2 + 43*h**2 - 61*h**2 wrt h.
-336*h
Let p(b) be the second derivative of 0*b**2 + 0 - 17/10*b**5 + 4/3*b**4 - 1/3*b**3 - 42*b. What is the third derivative of p(x) wrt x?
-204
Let c(q) = 8*q + 156. Let u be c(-19). What is the derivative of 11 - 36 - 32 - 2*x**2 - u*x**3 - 15*x**2 - x**2 wrt x?
-12*x**2 - 36*x
Let d be 132/8*(-10)/(-3). Let p = -47 + d. What is the third derivative of 7*m**2 + p*m**6 - 41*m**6 - 10*m**2 wrt m?
-3960*m**3
Let s(y) = -49*y**3 + 34*y**2 + 1961*y + 11. Let a(k) = -50*k**3 + 34*k**2 + 1959*k + 10. Let l(w) = 9*a(w) - 8*s(w). Find the second derivative of l(o) wrt o.
-348*o + 68
Find the first derivative of -1026 - 8*s**2 - 941*s**3 + 2*s**2 + 6*s**2 - 248*s**3 wrt s.
-3567*s**2
Let c be 0*(12 - 92/8). Let l(w) be the first derivative of -7/3*w**3 + 8 + c*w - 3/2*w**2. Find the second derivative of l(n) wrt n.
-14
Let p(k) = k**3 + 37*k**3 - 18*k**2 - 79*k**3. Let a(i) = -165*i**3 - 73*i**2. Let w(g) = 2*a(g) - 9*p(g). Find the third derivative of w(q) wrt q.
234
Let z = 3341 + -3337. Let w(m) be the second derivative of 0*m**2 - 10/3*m**3 + 0*m**z - 1/5*m**5 + 0 - 17*m. What is the second derivative of w(h) wrt h?
-24*h
Let z(t) be the first derivative of -3*t**4/2 + t**3/3 + 3*t**2/2 + t - 13. Let c be z(-1). Find the third derivative of d**c - 24*d**2 - 1529*d + 1529*d wrt d.
60*d**2
Let l = 69 - 72. Let g be (-1)/(l - -2) + (10 - -1). Find the first derivative of 6*m**4 + g*m**4 - 7*m**4 + 17 + 5*m**4 wrt m.
64*m**3
Let b = 37 + -35. Suppose 0 = 4*j + 6 + b, -68 = -2*d - j. Find the third derivative of 4*x**6 - d*x**2 + 10*x**6 + 51*x**2 wrt x.
1680*x**3
Find the third derivative of -560*m**4 - 564*m**4 - 2291*m**2 - 2*m**3 - 30*m**5 + 1120*m**4 wrt m.
-1800*m**2 - 96*m - 12
What is the third derivative of -18*n**3 + 345*n**5 + 527*n**5 - 312 + n**4 - 4262*n**2 + 17*n**3 + 312 wrt n?
52320*n**2 + 24*n - 6
Let q be (-4715)/(-92) - (1 + 14/(-8)). Suppose 58 = 10*p - q. What is the first derivative of 11 - p*d + 13*d + 19*d + d wrt d?
22
Suppose 3*d + 31 - 256 = 0. What is the first derivative of d - 64*o**2 + 2*o**2 + 3*o**3 - 15 - 4*o**3 wrt o?
-3*o**2 - 124*o
Let u be ((4 + -2)/2)/(2/14). Suppose u + 17 = 8*d. Find the second derivative of 5 - 5 + 31*w**d - 56*w**3 + 10*w wrt w.
-150*w
Suppose -68 = -j - 3*j + 4*b, 4*j - 3*b = 71. Let u(g) = g**2 + 2*g + 4. Let m be u(3). What is the first derivative of 3 + m - j*a + 9 wrt a?
-20
What is the first derivative of 331*l**2 - 4*l + 1115 + 6*l + 1878 - 1172*l**2 wrt l?
-1682*l + 2
Let v(i) be the first derivative of 947*i**2 + 2844*i - 873. Find the first derivative of v(d) wrt d.
1894
Differentiate 215 - 3989*i - 525 - 364 + 1192*i + 25 wrt i.
-2797
What is the first derivative of -259 + 69 - 84 - 495 - 38 + 1650*x**2 wrt x?
3300*x
Suppose -3*s - 3 = -4*s - k, -4*k - 51 = -3*s. Let u(d) be the second derivative of 0*d**3 - 16*d + 0 - 7/4*d**4 + s*d**2. Differentiate u(t) with respect to t.
-42*t
Let i(p) be the second derivative of -110*p**4 - p**3/6 + 9*p**2 + 12*p - 9. Find the second derivative of i(t) wrt t.
-2640
Let j(r) = 629*r + 141. Let p be j(15). Find the second derivative of -4788 + 108*m + p + 73*m**2 - 4788 wrt m.
146
Let b(x) be the third derivative of 622*x**7/105 + 511*x**5/60 - 16*x**2 + 11. Find the third derivative of b(s) wrt s.
29856*s
Let m(u) be the third derivative of 757*u**5/30 + 2809*u**4/12 + 5928*u**2. Find the second derivative of m(a) wrt a.
3028
Let n(h) be the first derivative of -48*h - 13/3*h**3 - 8 + 0*h**2. Differentiate n(y) with respect to y.
-26*y
Let y(o) be the second derivative of -21*o + 173/2*o**2 - 8/3*o**3 - 1/12*o**4 + 0. What is the first derivative of y(w) wrt w?
-2*w - 16
Find the third derivative of -35*y**2 - 17*y**2 - 4418*y**5 - 3025*y**5 - 21*y + 57*y**2 wrt y.
-446580*y**2
Let g = 707 + -574. Find the second derivative of 30725 + 14*k - 30725 + g*k**5 wrt k.
2660*k**3
Let i = 11714 + -11711. Let b(j) be the first derivative of 2*j**5 - 35/2*j**2 + 0*j**i + 0*j**4 + 0*j + 2. What is the second derivative of b(w) wrt w?
120*w**2
Let a(r) = 871*r**3 + 7*r**2 + 34. Let y(o) = -13*o**3 + 2*o**2. Let p(h) = a(h) - 3*y(h). What is the third derivative of p(g) wrt g?
5460
Let s(j) be the second derivative of -1681*j**5/20 - 173*j**4/6 + 1044*j. What is the third derivative of s(x) wrt x?
-10086
What is the first derivative of -3*b**2 - 22310 - b**2 - 5*b**3 + 23050 wrt b?
-15*b**2 - 8*b
Let p(q) = -5*q + 195. Let t be p(37). Differentiate 21*d - 20 - 21 - t*d + 8*d**3 - 8*d - 4*d with respect to d.
24*d**2 - 1
Let r(g) = -4*g**3 - 11*g**2 + g + 6. Let o be r(-3). Let s be 0 - o*2/(-3). What is the second derivative of -d + d**2 + 22*d - 5*d**2 + s*d wrt d?
-8
Let s(b) = b + 1. Let j be s(1). Let q(z) be the first derivative of 5*z**j + 2*z + 2*z + 5*z + 6. Differentiate q(t) with respect to t.
10
Suppose -322*a = -325*a + 9. Find the second derivative of 36*y - 3 - 414*y**5 + 357*y**5 + a wrt y.
-1140*y**3
Let w(s) = -1252*s**2 + 886*s. Let a(l) = 5*l**2 - l. Let m(h) = 3*a(h) + w(h). Find the second derivative of m(k) wrt k.
-2474
Let n = -343 - -359. Find the first derivative of -52 - n - 24 - 21 + 6 + 101*b wrt b.
101
Let p(z) = -z**3 + 11*z**2 + 18*z - 22. Let d be p(12). Let y(f) = 33*f. Let c be y(1). Find the first derivative of -d + 7*a + c + 11*a + 6*a wrt a.
24
Suppose -2*c + g + 18 = -2*g, -3*g = -5*c + 45. Differentiate -5*f**2 + 3*f**2 + c*f**2 - 38 + 76*f - 73*f with respect to f.
14*f + 3
Let w(u) = u**2 - 2*u - 4. Let y be w(4). Suppose -2*b - 21 = 5*m, m = 4*b - y - 9. Find the third derivative of 5*