- z(f). Find the first derivative of i(w) wrt w.
2701
Let h be 4/(-6)*(-522)/116. What is the third derivative of 28*v**2 + 59*v**h - 5*v + 5*v - 32*v**3 - 1 wrt v?
162
Let f(n) be the third derivative of -3/70*n**7 + 0*n + 74*n**2 + 11/12*n**4 + 0*n**3 + 1/60*n**6 - 1/30*n**5 + 0. Find the third derivative of f(s) wrt s.
-216*s + 12
Let g be (-1)/(4/(-3)*(-1)/(-4)). Let s = 3 + g. Find the second derivative of s*k**5 + 94*k - 121*k - k**5 wrt k.
100*k**3
Let n(t) = 53*t**3 - 5*t**2 + 5*t + 40. Let y(b) = -53*b**3 + 6*b**2 - 6*b - 38. Let s = -118 - -113. Let m(h) = s*y(h) - 6*n(h). Differentiate m(w) wrt w.
-159*w**2
What is the third derivative of -5982*p + 8*p**2 + 5946*p - 915*p**3 + 17*p**2 wrt p?
-5490
Differentiate -1366 + 86*p - 108*p - 178*p - 170*p + 36*p with respect to p.
-334
Let n(a) be the first derivative of -3/2*a**2 + 74 + 52/3*a**3 - 3*a. Differentiate n(v) wrt v.
104*v - 3
Let s(y) be the first derivative of -66*y**5 - 366*y**2 + 2536. Find the second derivative of s(n) wrt n.
-3960*n**2
Suppose p = 12 + 9. What is the second derivative of 3*c**2 + 23*c**3 + 99*c - c**2 + 23*c - p*c - 9*c**3 - 2 wrt c?
84*c + 4
Let n(g) = 1102*g**3 + 6*g**2 + 6*g - 1393. Let v(j) = 1102*j**3 + 8*j**2 + 8*j - 1393. Let z(m) = 4*n(m) - 3*v(m). Differentiate z(s) with respect to s.
3306*s**2
Let x(i) = 258*i**3 - 77*i + 1. Let c(q) = -1030*q**3 + 307*q - 5. Let w(b) = -2*c(b) - 9*x(b). Find the second derivative of w(h) wrt h.
-1572*h
Let o(v) be the third derivative of v**8/336 - 61*v**7/70 + v**4/24 - 1325*v**3/6 - 10128*v**2. Find the second derivative of o(t) wrt t.
20*t**3 - 2196*t**2
Differentiate 11750 - 9644*m**2 + 385*m**2 + 1736 wrt m.
-18518*m
Let m(l) = 2*l**2 + 15*l + 11. Let b be m(-10). Find the second derivative of -h - 67 + 142 - b - 86*h**2 wrt h.
-172
Let u(b) = 1274*b**3 - 68*b**2 - 39*b + 5. Let r(o) = 636*o**3 - 36*o**2 - 19*o + 2. Let h(x) = 5*r(x) - 2*u(x). Find the third derivative of h(c) wrt c.
3792
Let f(r) = -r**2 - 3*r + 6. Let j be f(-4). What is the second derivative of 2 - 10*x + 0 - 30*x**j + 10*x**2 - 20*x**2 wrt x?
-80
Let u(i) = -5228*i**4 + 18*i + 1922. Let n(z) = -10454*z**4 + 33*z + 3843. Let q(b) = -6*n(b) + 11*u(b). What is the first derivative of q(k) wrt k?
20864*k**3
Let o(v) = -6189*v**2 + 155*v - 3. Let s(x) = 2064*x**2 - 50*x + 1. Let h(c) = 2*o(c) + 7*s(c). Find the second derivative of h(p) wrt p.
4140
Find the second derivative of 717 - 184*k - 1038*k**3 - 1452 + 4291*k**3 + 727 wrt k.
19518*k
Find the second derivative of -113*a + 116*a - 395*a - 301*a**2 + 1374*a**2 + 2 - a**4 + 33*a wrt a.
-12*a**2 + 2146
Find the third derivative of -55 - 3*a - 39*a**2 + 0*a - 4*a**5 + 9*a - 55 - 91*a**6 + 115 wrt a.
-10920*a**3 - 240*a**2
Let n(v) = -11*v**3 + 3*v + 45. Let y(m) = 9 + 6 - 25 - m**3 + 9 - m. Let g(w) = -n(w) - 3*y(w). Find the first derivative of g(h) wrt h.
42*h**2
Suppose -38 = -2*w + 2*p, -4*p + 9*p = -2*w + 59. Find the third derivative of -w*o**2 - 15*o + 8*o - 67*o**3 + 7*o wrt o.
-402
Differentiate 369*c + 784 + 110*c + 486*c + 353*c + 2*c**3 - 171*c with respect to c.
6*c**2 + 1147
Let c = -31 - -44. Differentiate -26 - c - 21*h**3 - 11 wrt h.
-63*h**2
Let t be (((-75)/20)/5)/(27/(-180)). Find the second derivative of -15 - 244*c**3 - 3 - c - t - 6 + 1 wrt c.
-1464*c
Let u(r) = -r**2 - 4*r. Let c(t) = -4*t**2 + 1042*t - 3758. Let m(p) = c(p) - 2*u(p). What is the derivative of m(y) wrt y?
-4*y + 1050
Let t be (17 - -6)/((8/110)/4). Find the first derivative of 9*n**4 - 39*n**4 - t + 1283 - 28*n**4 wrt n.
-232*n**3
Let n(c) = -2815*c**3 + 21*c**2 - 12*c - 38. Let h(o) = -4223*o**3 + 33*o**2 - 18*o - 57. Let g(p) = 7*h(p) - 11*n(p). Find the second derivative of g(u) wrt u.
8424*u
Let d(b) be the first derivative of -b**7 - 7*b**6/6 - 18*b**5/5 - 47*b**3/3 + 3*b**2/2 - 6*b - 9195. Find the third derivative of d(j) wrt j.
-840*j**3 - 420*j**2 - 432*j
Let m(g) be the third derivative of 5*g**6/24 - 11*g**4/24 - 227*g**3/2 - 2*g**2 + 87. Differentiate m(f) with respect to f.
75*f**2 - 11
Let q(j) be the second derivative of j**7/21 - 16*j**6/15 - j**5/20 - 2233*j**3/2 + 8370*j. What is the second derivative of q(p) wrt p?
40*p**3 - 384*p**2 - 6*p
Let m(q) be the first derivative of 12709*q**6/6 + 792*q**2 + 2*q - 14255. Find the second derivative of m(w) wrt w.
254180*w**3
Let x(w) = 11*w**2 + 28*w - 4. Let o be x(8). What is the first derivative of o*t + 2*t**3 - 75 - 12*t**3 - 924*t wrt t?
-30*t**2
Let w be 2/(-2) - 16/(-4). What is the third derivative of -93*m**2 + w*m**4 + 152*m**2 + 63*m**4 wrt m?
1584*m
Let n(k) = -54 - 47 - 53 + 159. Let t(o) = o**3 + 68*o**2 + 44*o + 20. Let h(x) = -4*n(x) + t(x). What is the second derivative of h(p) wrt p?
6*p + 136
Let y(k) be the first derivative of 5*k**4/2 - 8*k**3/3 - 35*k**2 - 4*k + 369. What is the second derivative of y(n) wrt n?
60*n - 16
What is the second derivative of -3*q + 19*q - 12*q + 896*q**4 - 3*q - 138 wrt q?
10752*q**2
Suppose 11*t - 443 = -388. Find the second derivative of 168*i**5 + i**3 + 170*i**5 - 345*i**t + 243*i wrt i.
-140*i**3 + 6*i
Suppose -109 + 34 = -5*y. Find the third derivative of 9*l**4 - 24*l**2 - 57*l**2 + y*l**2 - l**3 + l wrt l.
216*l - 6
Let u(c) be the first derivative of 156*c + 36 - 75/2*c**2 + 0*c**3 - 1/2*c**4. Find the first derivative of u(q) wrt q.
-6*q**2 - 75
Let f(d) be the second derivative of -d**7/42 - d**6/15 + 43*d**5/5 + 1495*d**3/3 - 13*d - 207. What is the second derivative of f(v) wrt v?
-20*v**3 - 24*v**2 + 1032*v
Suppose 0 = -4*w + w - 5*r - 82, 3*w - 3*r + 66 = 0. Let d = w + 27. Differentiate 16 + 5*h - 4*h - h + 14*h**d with respect to h.
42*h**2
Suppose 9*n - 7*n - 32 = 0. Suppose v + n = 2*v. What is the third derivative of -19*l**2 + 20*l**2 - v*l**2 - 6*l**5 wrt l?
-360*l**2
What is the third derivative of -40*d**6 - 795*d**2 - 1591*d**2 + 4425*d**2 - 50*d**6 + 1126*d**2 wrt d?
-10800*d**3
Let x(c) be the third derivative of c**6/40 - 767*c**5/30 + 1643*c**4/6 - 993*c**2 + 7*c. What is the second derivative of x(i) wrt i?
18*i - 3068
Let u be (2 + 120/(-2))/(-2). Find the second derivative of u*p**5 + 333*p**4 - 656*p**4 + 323*p**4 + 55*p wrt p.
580*p**3
Let a(p) be the second derivative of -p**7/6 - 25*p**4/12 + 6*p**2 - 6124*p. Find the third derivative of a(u) wrt u.
-420*u**2
Let b(v) be the first derivative of 0*v**5 + 1/2*v**4 - 6 + 0*v + 3/2*v**6 + 0*v**2 + 19/3*v**3. What is the third derivative of b(z) wrt z?
540*z**2 + 12
Let k(c) be the second derivative of -61/12*c**4 + 0*c**3 - 38*c + 0 + 31/10*c**5 + 0*c**2. Find the third derivative of k(r) wrt r.
372
Suppose -12*a - 24 = -20*a. Find the second derivative of -417*k**2 + 74*k + 34*k**a + 51*k + 414*k**2 - 45*k wrt k.
204*k - 6
Suppose -v = v - 172. Let d = -81 + v. What is the first derivative of 24 - b - d*b - 3*b + 14*b wrt b?
5
Let p = -133 + 135. Find the second derivative of 4 - 99*b**p - 4 + 1 + 20*b + 132*b**2 wrt b.
66
Let h(g) = -39*g + 152 - 76*g - 22 + 9*g. Let t(o) = 53*o - 64. Let w(y) = -2*h(y) - 5*t(y). What is the derivative of w(s) wrt s?
-53
Let j(a) = 22*a + 5 - 21*a**2 + 2 - a**3 + 4. Let s be j(-22). What is the third derivative of -25*f**4 + 9*f**2 - s*f**4 + 52*f**4 wrt f?
384*f
Suppose 3*o + i - 9 = 0, -5*i + 15 = -o + 18. What is the second derivative of -k + 19 + o*k + 175*k**2 - 3 + 56 - k**2 wrt k?
348
Let j(v) be the second derivative of v**7/42 - 723*v**5/20 - 10685*v**4/12 + v**2 + 152*v - 5. Find the third derivative of j(m) wrt m.
60*m**2 - 4338
Find the second derivative of 2177*s - 80*s**2 + 164*s**2 + 146*s**2 + 509*s**2 - 295*s wrt s.
1478
Let k(f) be the third derivative of f**7/70 - 197*f**6/120 - 1289*f**4/24 - f**3/3 - 246*f**2 + 2. What is the second derivative of k(n) wrt n?
36*n**2 - 1182*n
Let r = -151 + 156. Find the second derivative of -7*y + r*y**3 - 10*y**3 - 49*y**3 wrt y.
-324*y
Let c(j) be the second derivative of -3517*j**5/10 + 4611*j**2/2 + 3435*j. What is the derivative of c(r) wrt r?
-21102*r**2
Let r be (7/(-7) + -15)/((-2)/8). Suppose -2*g + r = -g. Find the second derivative of -16*q + 19*q**3 - g + 64 wrt q.
114*q
Suppose -27 = -2*p + 5*k, 3*k = 3*p + 10 - 28. What is the derivative of p - 13*z**2 + 63*z**2 + 33 - 22*z**2 wrt z?
56*z
Let c(h) 