- 91/4*g**4 + 227 + 0*g**2 + 4*g. What is the third derivative of v(o) wrt o?
-546
Suppose 0 = 13*k - 10 + 23. Let d(w) = 2. Let m(a) = 28*a + 52. Let y(n) = k*m(n) - d(n). Differentiate y(s) with respect to s.
-28
Let q(o) be the third derivative of -o**8/336 - 2*o**7/35 + 3125*o**4/24 + 2*o**2. Find the second derivative of q(m) wrt m.
-20*m**3 - 144*m**2
Let n(w) be the first derivative of 29*w**5/24 + 95*w**4/24 + 206*w**3/3 - 186. Let c(l) be the third derivative of n(l). Differentiate c(h) wrt h.
145
Suppose 25*u - 21*u - 16 = 0. What is the second derivative of n**2 + 20*n**u - 32 - 7*n - 3 + 4*n wrt n?
240*n**2 + 2
Let l(t) = 2*t**2 + t. Let k be l(-1). Let s be 4/(-8)*(-5 - k). Find the third derivative of 130*b**2 - 11*b**6 - s*b**3 - 132*b**2 + 3*b**3 wrt b.
-1320*b**3
Let g(i) be the second derivative of -245/2*i**2 - 2 - 16*i + 143/12*i**4 + 1/3*i**3. What is the first derivative of g(y) wrt y?
286*y + 2
Let j = -18 - -27. Let k = 12 - j. Find the second derivative of -7*d**3 + 8*d + 3*d**k - 3*d**3 - 20*d wrt d.
-42*d
Find the second derivative of 5*d**3 - 4304*d - 3*d**2 + 76*d**4 + 0*d**2 - d**4 + 1252*d wrt d.
900*d**2 + 30*d - 6
Suppose -4*o = -3*p - 27, -6*o - 4*p + 26 = -o. What is the second derivative of -29 + 31*q + 27 + o*q**3 + q**3 wrt q?
42*q
Differentiate -438 + 377*u**2 + 812 - 190 + 942 + 223*u**2 - 4*u with respect to u.
1200*u - 4
Let s(q) be the first derivative of 0*q + 5/3*q**3 + 0*q**4 + 2/5*q**5 + 3*q**2 + 86. Find the second derivative of s(b) wrt b.
24*b**2 + 10
What is the second derivative of 389*f**2 - 5*f - 132*f**2 + 160120 - 160154 - 2*f wrt f?
514
Let j(m) = -433*m**2 + 6*m + 32. Let z(q) = -432*q**2 + 7*q + 34. Let h(k) = -2*j(k) + 3*z(k). What is the second derivative of h(p) wrt p?
-860
Suppose 16 = -6*v + 4*v. Let w be (3 + 28/v)*-6. Differentiate 5*f**4 + f**4 - 36 + 21*f**4 - w*f**4 with respect to f.
96*f**3
Suppose 0*w = 4*w - d + 1, 5*w = -2*d + 2. Find the second derivative of 366 + w*o + 96*o**3 - 356 + 3*o wrt o.
576*o
Find the third derivative of -32 + 1191*l**2 - 3560*l**2 + 1191*l**2 + 1184*l**2 - 866*l**3 wrt l.
-5196
Let g(b) = b**2 + 2*b - 13. Let k be g(-7). Let p = k - 6. Differentiate -68*n**3 + 20*n**3 - p + 32*n**3 wrt n.
-48*n**2
Let b(d) = -4*d + 34. Let i be b(8). Find the third derivative of 73*m**2 - 74*m**4 - 5*m**i + 3*m**2 wrt m.
-1776*m
Suppose -b + 28 = -4*a + a, 5*a + 32 = b. Let d = 25 - b. Differentiate -10 + h**d - 106*h + 106*h wrt h.
3*h**2
Let l(a) = -2225*a + 123. Let w(h) = -11146*h + 613. Let i(u) = 11*l(u) - 2*w(u). What is the derivative of i(k) wrt k?
-2183
Let k(y) be the first derivative of 2*y**5/5 - y**2 + 1016*y + 2176. Find the first derivative of k(u) wrt u.
8*u**3 - 2
Let x(j) be the first derivative of -4*j**3/3 + 3*j**2/2 - 407*j - 497. Differentiate x(p) with respect to p.
-8*p + 3
Let k(q) = 102*q + 81. Let h(o) = -52*o - 6 - 32 - 2. Let g(t) = -9*h(t) - 5*k(t). Let d(p) = 42*p + 45. Let i(b) = 3*d(b) + 2*g(b). Differentiate i(u) wrt u.
42
Let o(v) be the first derivative of -72 + 0*v**5 + 0*v - 100/3*v**3 + 0*v**2 + 0*v**6 - 30/7*v**7 + 0*v**4. Find the third derivative of o(q) wrt q.
-3600*q**3
Let x(z) be the second derivative of z**7/42 - 96*z**6/5 - z**4 - 66*z**2 + 19*z + 13. Find the third derivative of x(h) wrt h.
60*h**2 - 13824*h
Let g(j) be the second derivative of 662*j**6/15 - 1235*j**4/12 + j + 619. What is the third derivative of g(w) wrt w?
31776*w
Suppose -4 = s + 2*b, s + 5*b + 2 + 17 = 0. Let c(l) = 2*l**2 + 1. Let f be c(-2). What is the first derivative of -9 - s*u - 3*u + f*u + 10*u wrt u?
10
Differentiate 207 + 278 - 499 - 329*z**2 - 1642 - 1362 + 2*z wrt z.
-658*z + 2
Let h be 40/(-80) + 10/4 + -2. Find the second derivative of 4 - 1 + i**4 + h - 30*i**2 + 72*i**2 + 179*i - 5 wrt i.
12*i**2 + 84
Let h(r) = 5*r**2 + 9. Let x = -30 + 45. Let u = 16 - x. Let b(c) = c**2. Let d(w) = u*h(w) - 4*b(w). Differentiate d(y) with respect to y.
2*y
Suppose r - 3 = -2*u, 2*u - 4*r + 14 = 32. Find the third derivative of 0*v**3 - 332*v**4 + 333*v**4 - 8*v**2 + 2*v - 4*v**u + 3*v wrt v.
24*v - 24
Let v(a) be the third derivative of 0 - 11/8*a**4 + 4/15*a**6 + 0*a + 0*a**3 + 55*a**2 + 0*a**5. Find the second derivative of v(r) wrt r.
192*r
Let f = 139 - 124. Find the third derivative of f*d**2 + 599*d**5 + 23*d**2 - 597*d**5 - 29*d**6 wrt d.
-3480*d**3 + 120*d**2
Let m = -5 + 2. Let g be -2 - m*4/3. What is the derivative of x + 3 - g - 10*x - 4 wrt x?
-9
Let c(n) be the second derivative of -146*n**5/5 - n**4/6 + 61*n**3 + 738*n. Find the second derivative of c(m) wrt m.
-3504*m - 4
Let k(u) be the first derivative of -1245*u**7/7 - u**6/3 - 9*u**3 - 26*u + 4175. Find the third derivative of k(a) wrt a.
-149400*a**3 - 120*a**2
Let z(k) = -2 - 10 + 36 - 6 - 12*k + k**2. Let w be z(12). Find the second derivative of -5*s + 18*s**2 + w*s**2 - 29*s + 2*s**2 wrt s.
76
Suppose -3*y - 22 = -2*l, -2*y + 0 - 4 = 0. Suppose 11 = r + l. What is the second derivative of -3*v - 6*v + r*v**2 - 7*v**2 wrt v?
-8
Let c(m) = -3359*m**2 + 41*m - 35. Let o(z) = -16795*z**2 + 207*z - 177. Let k(f) = 11*c(f) - 2*o(f). Find the second derivative of k(l) wrt l.
-6718
Suppose -151 = -3*k - 5*o, -57 = -k + 21*o - 16*o. Differentiate -7*f - 46 + 3*f**2 - 21 + 15*f + 2 - k wrt f.
6*f + 8
Let g be 40/(-115)*-17 + (-10)/(-115). Let m be (-1258)/(-3) + 6/(-18). What is the second derivative of m + g*j - 419 - 18*j**5 wrt j?
-360*j**3
What is the third derivative of 116*g + 13*g**6 + 6*g**5 - 485 + 3*g**2 - 206*g + 90*g + 72*g**5 wrt g?
1560*g**3 + 4680*g**2
Let a(x) = 157*x**3 + 10*x**2 - 119*x - 6. Let w(l) = 487*l**3 + 32*l**2 - 358*l - 20. Let y(z) = 13*a(z) - 4*w(z). Find the third derivative of y(m) wrt m.
558
Let t = 62 + -22. What is the derivative of -14*z**2 + t - z + 4*z**2 + 6*z**2 wrt z?
-8*z - 1
Suppose 5*k + 4*f = 179, -7*f + 141 = 4*k - 6*f. What is the derivative of -24 + 2*m**4 - k*m + m - 12 wrt m?
8*m**3 - 34
Differentiate 24462*b**2 - 24462*b**2 + 535*b - 3*b**3 + 557*b - 112*b + 2111 wrt b.
-9*b**2 + 980
Let r(f) be the second derivative of 21*f**4 + 130*f**3 + 2*f + 128. Find the second derivative of r(w) wrt w.
504
Find the second derivative of 83*m**2 - 488*m**4 - 6156*m**4 - 3133 - 1630*m**4 - 83*m**2 + m wrt m.
-99288*m**2
Suppose -4*f - 5*l + 378 = 0, 0 = 2*f - 2*l + 4*l - 190. Suppose f*d - 96*d = 22. What is the third derivative of 6*n**4 - 7*n**4 - d*n**2 + 11*n**4 wrt n?
240*n
Find the first derivative of -4*n**2 + 739*n**3 - 318 - 3*n + 4*n**2 - 839*n**3 + 0*n wrt n.
-300*n**2 - 3
Find the second derivative of 1771*i**3 + 1253*i**3 + 2695*i**3 - 1038*i**3 + 4361*i wrt i.
28086*i
Let v = 23713 + -23713. Let d(u) be the first derivative of -36 - 8*u**2 + v*u - 5/3*u**3. Find the second derivative of d(c) wrt c.
-10
Let k(a) be the first derivative of 1967*a**2/2 - 723*a + 905. What is the derivative of k(r) wrt r?
1967
Let d(x) be the third derivative of 0 + 0*x**5 + 0*x + 43/120*x**6 + 61/8*x**4 - 148*x**2 + 0*x**3 + 1/70*x**7. Find the second derivative of d(g) wrt g.
36*g**2 + 258*g
Find the third derivative of 0 - 1414*y**6 + 157*y + 157*y - 312*y - 30*y**2 + 0 wrt y.
-169680*y**3
Let d(n) be the first derivative of -91/3*n**3 - 103 + 0*n**2 + 344/5*n**5 + 0*n + 0*n**4. What is the third derivative of d(k) wrt k?
8256*k
Let n = 12548/3 - 4182. Let m(k) be the third derivative of 0*k + 0*k**3 - 11/60*k**5 + 0 + 15*k**2 - n*k**4. Find the second derivative of m(d) wrt d.
-22
Suppose -9*m - 333 = -360. What is the third derivative of 229*y**m + 15*y + y - 24*y - 2*y**2 + 17*y + 32*y wrt y?
1374
Let s(t) be the first derivative of 3*t**5/5 + t**4 + 37*t**3/3 + 8109*t**2/2 - 6117. What is the second derivative of s(b) wrt b?
36*b**2 + 24*b + 74
Let m(s) = 2*s**2 - 33*s - 170. Let n be m(-5). What is the third derivative of -72615*d**2 + 13*d**3 - 3*d**5 - n*d**3 + 72806*d**2 wrt d?
-180*d**2 - 192
Let h(b) be the third derivative of 3*b**7/35 + 8*b**6/15 + b**5/30 + 263*b**3/2 + 10*b**2 - 16*b - 2. Find the third derivative of h(r) wrt r.
432*r + 384
Suppose -3*i = 4*v - 8, 11 = -5*i - 9. Find the third derivative of -180*q**2 + 64*q**2 - 10*q - 38*q**v + 10*q - 38*q**5 wrt q.
-4560*q**2
Let l(b) be the first derivative of 211*b*