x**4 + 194 + 432*x**4 - 291*x**4 + 1470*x**4 wrt x.
4732*x**3
Let w(r) = 4*r**2 - 4*r. Let b be w(2). Suppose -4 = 4*n + 3*t - 12, -2*t + b = 4*n. Differentiate -n*f**3 - 14 + 14*f**3 + 4*f**3 - 5 wrt f.
48*f**2
Let s(r) be the third derivative of -r**7/105 + r**6/120 + r**4/6 + 6599*r**3/6 - 2*r**2 + 14*r - 31. What is the first derivative of s(g) wrt g?
-8*g**3 + 3*g**2 + 4
Let o(a) be the second derivative of 262*a**6/15 - 128*a**3 + 11*a - 7. Find the second derivative of o(z) wrt z.
6288*z**2
Let h(k) be the second derivative of 1397*k**4/12 - 335*k**3/6 - 932*k. What is the second derivative of h(o) wrt o?
2794
Let z(u) be the second derivative of -370*u**4/3 + 791*u**3/6 + u**2/2 + 75*u - 4. Find the second derivative of z(c) wrt c.
-2960
Let g(b) be the first derivative of 10*b**3/3 - b**2 - 1714*b + 2261. Differentiate g(h) wrt h.
20*h - 2
Let o(c) = 1576*c**4 - c**3 + 5*c**2 - 319*c + 4. Let v(x) = 1. Let i(p) = o(p) - 2*v(p). What is the third derivative of i(u) wrt u?
37824*u - 6
Let j(f) be the third derivative of -179*f**6/120 - 839*f**3/6 - 15*f**2 - 20. What is the first derivative of j(z) wrt z?
-537*z**2
Find the second derivative of -110763*w**3 + 99*w**4 + 212*w + 110762*w**3 - 590*w + 223*w**4 wrt w.
3864*w**2 - 6*w
Let o(g) = 277*g**3 - 4*g**2 + 4*g + 454. Let m(x) = 832*x**3 - 14*x**2 + 14*x + 1361. Let w(u) = 4*m(u) - 14*o(u). What is the derivative of w(f) wrt f?
-1650*f**2
Let g = 167 + -164. Find the third derivative of 3*u**2 + u**2 + 4*u**4 + 27*u**g + 31*u**3 - 63*u**3 wrt u.
96*u - 30
Suppose -10*l = 26*l - 72. What is the third derivative of 4667*g**2 - g**4 - 4659*g**l - 14*g**3 - 5*g**3 - g**4 + 4 wrt g?
-48*g - 114
Let x(i) = 55*i - 3. Let y be x(2). What is the second derivative of 3*v - 10*v**5 - 58*v**5 + y*v**5 wrt v?
780*v**3
Let r = -275 + 278. Differentiate r*n - 81*n**2 + 416 - 4*n - 183 with respect to n.
-162*n - 1
Suppose -4*k - k - 142 = j, -2*j = -4*k - 108. Let t = 30 + k. Find the third derivative of 7*v**5 - 10*v**5 + 11*v - 11*v - 13*v**t wrt v.
-180*v**2
Let j(w) = -w**3 + 11*w**2 + 13*w - 8. Let u = 24 + -12. Let d be j(u). Find the third derivative of 26*x**2 + 24*x**5 - 5*x**4 - 54*x**2 + 5*x**d wrt x.
1440*x**2
Let i be (2/(-4))/(((-20)/24)/5). Suppose -i*m = -2*y + 2*m + 20, y - 2*m = 9. Find the third derivative of -40*z + 40*z - 19*z**y + 19*z**2 wrt z.
-1140*z**2
Let z be 0 + 1/(-2) + 7723/2. Differentiate -3859*v**4 - 2*v**3 + 37 + z*v**4 - 3*v**3 + 13 wrt v.
8*v**3 - 15*v**2
Suppose -16 = -290*j + 286*j. Find the second derivative of o**3 - 8*o - 3*o**3 - 12*o**5 - 6*o**5 + j*o**3 wrt o.
-360*o**3 + 12*o
Let c(h) = 25532*h**2 - 28954*h. Let q(g) = 12766*g**2 - 14478*g. Let m(y) = -3*c(y) + 5*q(y). What is the second derivative of m(j) wrt j?
-25532
Let p = -205 + 202. Let k(y) = 98*y**2 - 4*y + 7. Let h(x) = -97*x**2 + 7*x - 6. Let o(j) = p*k(j) - 4*h(j). What is the second derivative of o(c) wrt c?
188
Let s(k) = 259*k - 7695. Let z(o) = 320*o - 7696. Let d(l) = -3*s(l) + 4*z(l). What is the first derivative of d(t) wrt t?
503
Suppose -37*b = -18*b + 87*b. Let v(d) be the second derivative of 8*d**2 + 1/12*d**4 + b*d**3 - 5*d + 0. What is the first derivative of v(s) wrt s?
2*s
Suppose 2*x - 41 = x. Let z = x - 39. What is the third derivative of -10*o**z + 2*o**5 - 8*o**2 + 14*o**5 wrt o?
960*o**2
Let x(n) be the second derivative of 141*n**7 + 125*n**3/6 + 9*n**2/2 - 72*n. Find the second derivative of x(p) wrt p.
118440*p**3
Let r(w) = -w**2 + 13*w + 3. Let m be r(11). What is the second derivative of 34*x**2 - 15*x**2 - m*x + 1 + 9*x + 31*x**2 wrt x?
100
Let x(f) = 3*f**2 + 11*f - 5. Let v be x(-4). Let m be (-7)/(-28) - (v - (-47)/(-4)). Find the first derivative of m*w - 13*w + 12*w**2 - 25 + 23*w**2 wrt w.
70*w
Let w(d) be the first derivative of 1348*d**3/3 + 637*d**2 - 1300. What is the second derivative of w(y) wrt y?
2696
Let i be 12/(-78) + 108/26. Let q(n) = -n**2 + 4*n + 1. Let d be q(i). Find the first derivative of -4 + 52*l**4 - 60*l**4 - d wrt l.
-32*l**3
Let d(y) = -68*y + 206. Let i be d(3). Let b = -6 - -15. What is the third derivative of -9*o**2 + 8*o**2 + b*o**5 + 14*o**i - 32*o**5 wrt o?
-1380*o**2
Let o(x) be the third derivative of -3353*x**6/60 - x**5/30 - 1729*x**4/24 - 1179*x**2. What is the second derivative of o(i) wrt i?
-40236*i - 4
Let i(m) be the first derivative of -m**4/2 + 919*m**3/3 + m**2/2 + 6205*m + 4681. Differentiate i(o) with respect to o.
-6*o**2 + 1838*o + 1
Let i(f) be the first derivative of 303*f**4 - 1297*f**2/2 + 693. What is the second derivative of i(v) wrt v?
7272*v
Let q = 10417 + -6610. What is the second derivative of -204*f**2 - 1906 - 1901 - 93*f + q wrt f?
-408
Let i(b) be the second derivative of 0 - 79/2*b**2 + 65*b - 47/3*b**3. What is the first derivative of i(n) wrt n?
-94
Let p(f) = 5*f - 5. Let v be p(2). Suppose 127 = v*l - 4*l + 3*u, 5*u = -4*l + 543. Find the third derivative of -5*z**6 + 163*z**2 + 3*z**6 - l*z**2 wrt z.
-240*z**3
Let s(g) be the third derivative of -9379*g**6/120 + 1368*g**3 + 5437*g**2. What is the derivative of s(o) wrt o?
-28137*o**2
Let z = 25 - 30. Let m(w) = w**2 + 4*w. Let o be m(z). Find the third derivative of 3*b**o + 14*b**5 - b**2 + 14*b**2 wrt b.
1020*b**2
Suppose 1567 = 38*h + 351. Let t(w) = 2*w**3 + 1. Let r be t(1). Differentiate 98*d - 98*d + h - 19*d**r with respect to d.
-57*d**2
Suppose -9*s - 2 + 29 = 0. What is the third derivative of b**3 + 5 + 4*b**2 - 5*b**s - 2*b**2 - 8 wrt b?
-24
Suppose -9*j + 62 = 8. What is the second derivative of -38*v - 23*v - 117*v**2 - j*v wrt v?
-234
Let w(i) be the first derivative of 57*i - 2 + 2651*i**4 + 128 - 2672*i**4. What is the first derivative of w(r) wrt r?
-252*r**2
Let f(c) be the third derivative of 41/40*c**6 + 0 - 180*c**2 - 115/3*c**3 + 0*c**4 + 0*c + 0*c**5. Differentiate f(b) with respect to b.
369*b**2
Let c(n) = -6697*n**2 - 36*n + 101. Let j(y) = -20025*y**2 - 107*y + 303. Let k(a) = 17*c(a) - 6*j(a). Find the second derivative of k(g) wrt g.
12602
Let o(q) be the second derivative of 1/2*q**4 - q**2 + 0 + 0*q**3 + 19/4*q**5 - 4*q. What is the third derivative of o(s) wrt s?
570
Let b(w) be the second derivative of -533*w**6/15 - 295*w**3/6 + w**2/2 - 3393*w. What is the second derivative of b(l) wrt l?
-12792*l**2
Let i(a) = a**3 + 11*a**2 + 19*a + 45. Let s be i(-7). Differentiate -10*r - 98*r - 203*r + s*r + 65 with respect to r.
-203
Suppose 144 = 3*z + 138. Find the second derivative of 80*a**3 + 7*a**4 + 1 + z*a**4 - 52*a - 7*a**4 - 3 wrt a.
24*a**2 + 480*a
Let p(j) = 12*j - 11. Let n(v) = 7*v**2 + 352*v - 10506. Let u(w) = n(w) + 2*p(w). Differentiate u(a) wrt a.
14*a + 376
Differentiate 709*a + 1301 - 133*a - 174*a with respect to a.
402
Suppose 78*x - 8 = 74*x. Find the second derivative of -s**3 - 221*s**2 - 3*s + 101*s**2 + 67*s**x + 29*s wrt s.
-6*s - 106
What is the second derivative of 215*a - 133*a + 2143 + 223*a - 876*a**2 - 2140 wrt a?
-1752
Let l(n) = -n**2 - 2. Let a(p) = -118*p**2 - 11*p - 5. Suppose 16*o - 449 + 433 = 0. Let d(r) = o*a(r) - 2*l(r). Find the second derivative of d(u) wrt u.
-232
Let t(l) be the third derivative of 0*l + 1/2*l**3 + 1/60*l**6 + 13/60*l**5 + 0*l**4 + 6*l**2 + 7. Find the first derivative of t(c) wrt c.
6*c**2 + 26*c
Let j(p) be the first derivative of -413*p**3/3 + p**2/2 - 23*p + 1953. Find the second derivative of j(w) wrt w.
-826
Let w = 304 + -260. Differentiate -38 - 37 - w - 62*j + 175 wrt j.
-62
Suppose -13*o + 18 = -7*o. Suppose -2*q - 2*x = 3*q - 14, -4*q = -o*x - 2. What is the third derivative of -44*u**q + 81*u**2 - 44*u**4 - 47*u**2 wrt u?
-1056*u
Suppose -4*h + 520 = -g, -3*g - 642 = -5*h + 1. What is the first derivative of 2 - 131*y**4 - 86 + 140*y - 270*y + h*y wrt y?
-524*y**3 + 1
Let b = 102 - 44. What is the first derivative of 54*s**2 + 8 + 6 - 36*s**2 + b*s**2 wrt s?
152*s
Let m(v) = -38*v**3 + 44*v**2. Let f(k) = -19*k**3 + 22*k**2. Let o = -20 - -18. Let s(p) = o*m(p) + 5*f(p). Find the third derivative of s(j) wrt j.
-114
Suppose 0 = 4*j + 5*z - 185, 4*j - 194 = -0*j - 2*z. Let m = j - 46. What is the second derivative of 3*i**4 + 2 - 2 + 8*i**m - 21*i wrt i?
132*i**2
Suppose 7*w - 60 = 80. Differentiate -44*q**4 - w*q**4 - 2 - 46*q**4 -