 Differentiate -39*h + 7*h**4 - 18 + s*h + 3*h**4 wrt h.
40*h**3
Let y(t) = 1597*t**2 + 9686*t. Let d(c) = 798*c**2 + 4842*c. Let n(x) = -7*d(x) + 4*y(x). What is the second derivative of n(a) wrt a?
1604
Let w(j) = -2415*j**5 + 2*j**4 + 141*j**2. Let o(k) = 9660*k**5 - 9*k**4 - 565*k**2. Let z(h) = -2*o(h) - 9*w(h). What is the third derivative of z(g) wrt g?
144900*g**2
Let g = -11 + 20. Suppose -2*i = i - g. What is the second derivative of -5*l + 10*l**5 - 8*l - i*l wrt l?
200*l**3
Find the first derivative of 4*v**2 - 27*v**2 + v - 2*v**4 + 772 + 19*v**2 + 3*v**4 + 21*v**2 wrt v.
4*v**3 + 34*v + 1
Let y(g) = g**2 - 2*g - 1. Let i(d) = 81 - 12*d - 1295*d**3 + 18 + 6*d**2 + 1222*d**3. Let u(b) = i(b) - 6*y(b). What is the first derivative of u(k) wrt k?
-219*k**2
Let u(o) be the second derivative of 3387*o**5/10 + 67*o**4/12 + 9*o**3/2 + o**2 - 5868*o. What is the third derivative of u(r) wrt r?
40644
Let k(g) = -36*g**4 - 5*g**3 - 49*g - 8505. Let u(y) = -35*y**4 - 4*y**3 - 47*y - 8504. Let v(t) = -4*k(t) + 5*u(t). Differentiate v(a) with respect to a.
-124*a**3 - 39
Suppose -2*m = 3*c - 22, -3*c + 2*m = -0*m - 26. Suppose -28*u = -30*u + 4. Find the first derivative of -8 + 28*h**3 - u + c*h**3 wrt h.
108*h**2
Let n(b) be the first derivative of -b**6/3 + 19*b**5 + 429*b**2 + 2*b + 296. Find the second derivative of n(d) wrt d.
-40*d**3 + 1140*d**2
Let f(z) be the second derivative of -547*z**5/5 - z**4 + 8*z**3/3 - 4*z + 27. What is the third derivative of f(l) wrt l?
-13128
Let u(m) be the first derivative of 1773*m**2 + 709*m + 4849. Find the first derivative of u(t) wrt t.
3546
Suppose 0*d + 6 = 3*d. What is the derivative of -89*s + 82*s + 7 + 14 - d wrt s?
-7
Let f(y) be the third derivative of -158*y**7/7 + 455*y**4/4 + 3420*y**2. What is the second derivative of f(p) wrt p?
-56880*p**2
What is the second derivative of -416*q + 1001 - 1127*q - 48*q**2 + 43*q**2 - 16*q**4 - 1001 wrt q?
-192*q**2 - 10
Let m(z) = -1021*z**4 - 2*z**2 - 749*z - 2. Let v(p) = 1020*p**4 + 3*p**2 + 748*p + 3. Let s(k) = 3*m(k) + 2*v(k). Find the second derivative of s(r) wrt r.
-12276*r**2
Let k(q) be the second derivative of 19*q**2 + 37 + q**2 - 2*q - 3*q**3 + 9*q**3 - 9*q**2. What is the derivative of k(x) wrt x?
36
Let y(g) be the third derivative of -421*g**6/20 - g**4/12 - 427*g**3/6 + 8*g**2 + 14*g - 3. Find the second derivative of y(i) wrt i.
-15156*i
Let h(x) be the second derivative of 968*x**3/3 - 5607*x**2/2 + 157*x - 4. Differentiate h(n) wrt n.
1936
Let v(b) be the second derivative of -20 + b - 1/2*b**2 - 1/12*b**4 + 109/10*b**5 - 16/3*b**3. What is the second derivative of v(j) wrt j?
1308*j - 2
Let d(x) be the first derivative of -6 - 80 + 102*x - 3 - 6*x + 20*x**2. Differentiate d(j) with respect to j.
40
Let d(y) be the first derivative of y - 6*y**2 + 14/3*y**3 + 89. What is the second derivative of d(r) wrt r?
28
Let o(w) be the second derivative of 125*w**7/21 - 193*w**3/3 + w + 587. What is the second derivative of o(x) wrt x?
5000*x**3
Let t(b) be the first derivative of -1343*b**7/7 - 46*b**3/3 + 2*b + 1991. Find the third derivative of t(l) wrt l.
-161160*l**3
Let r(y) be the second derivative of -4363*y**3/6 + 12061*y**2/2 + 9051*y. Differentiate r(n) wrt n.
-4363
Let j(g) be the second derivative of -1/6*g**4 + 0 + 0*g**2 + 6*g + 0*g**3 - 9/5*g**5. Find the third derivative of j(m) wrt m.
-216
What is the second derivative of -2*t**2 + 6*t**2 + 3*t**2 - 6*t**2 + 0*t**2 - 47*t + 11 - 79*t**3 wrt t?
-474*t + 2
Let k = -28 - -40. Let q be (-33)/(-6)*14 - -4. What is the second derivative of 81 + k*w - w**2 - q wrt w?
-2
Let w(i) = 6*i**2 + 17*i - 22. Let n be w(22). Differentiate n*p - 1554*p - 81 - 1601*p wrt p.
101
Let a be (2 + 1*-1)/((-48)/(-96)). What is the derivative of 7*w + 86 - 8*w + 0*w - 10*w**a - 20 wrt w?
-20*w - 1
Let k(m) = 2895*m**3 + 4*m**2 + 488*m + 4. Let b(u) = 2894*u**3 + 5*u**2 + 487*u + 5. Let y(q) = 4*b(q) - 5*k(q). Find the second derivative of y(s) wrt s.
-17394*s
Let w = 319 - 261. What is the derivative of -120*o - 14*o + w - 203 wrt o?
-134
Find the third derivative of 95*i**2 + 190*i**2 + 231*i**4 + i**3 + 641*i**2 + 141*i**4 wrt i.
8928*i + 6
Let t(w) = 6*w**3 + 2*w**2 + 50. Let z(v) = 2 - 547*v**3 + 548*v**3 - 2 + v**2 - v. Let p(j) = t(j) - 2*z(j). What is the derivative of p(k) wrt k?
12*k**2 + 2
Let y(i) be the first derivative of 604*i**3 + 4045*i**2/2 + 3931. Find the second derivative of y(j) wrt j.
3624
Let s(b) be the third derivative of -49*b**6/120 - 433*b**3/6 - 2*b**2 - 294*b. Find the first derivative of s(d) wrt d.
-147*d**2
Suppose -210 = -187*b + 182*b. What is the second derivative of -10*j**4 - b - 48*j**4 + j + 18*j**4 wrt j?
-480*j**2
What is the third derivative of -12*k + 1395 + 1479 + 1426 - k**2 - 4365*k**3 - 5623 + 1442 wrt k?
-26190
Let z(u) be the second derivative of 995*u**4/12 - 2833*u**2/2 - 1889*u. Differentiate z(g) with respect to g.
1990*g
Let k = -9841 + 118105/12. Let x(y) be the second derivative of -9/10*y**5 + 0*y**3 + 3*y - k*y**4 + 0 + 0*y**2. What is the third derivative of x(m) wrt m?
-108
Let l = -1659 + 1679. Let r = 1 + 6. Differentiate l*j - 4268 + 4284 + r*j with respect to j.
27
Let g(z) = 14*z**2 - 58*z - 642. Let p(q) = -30*q**2 + 106*q + 1285. Let r(y) = -13*g(y) - 6*p(y). What is the first derivative of r(v) wrt v?
-4*v + 118
Let v(s) = -s**2 + 5*s + 54. Let o be v(10). Let d be (-17)/(-5) - (-33)/55. Find the second derivative of 48*b - 7*b**d - 10*b - 21*b**o wrt b.
-336*b**2
Let x = 244 + -241. Find the second derivative of -5*t + 33*t - 16*t - 3 - 51*t**x wrt t.
-306*t
Let w(j) be the third derivative of j**9/504 - 569*j**8/42 - 2133*j**5/10 - 2075*j**2. Find the third derivative of w(p) wrt p.
120*p**3 - 273120*p**2
Suppose 2*j + 1 = 5. Suppose 4*b - 2*w - 63 = 9, -3*w = -3*b + 60. What is the derivative of 38 - 335*k + 335*k + b*k**j wrt k?
32*k
Find the second derivative of -15*a**2 + 717*a**2 + 40*a**2 + 24*a**2 + 1234*a wrt a.
1532
Let k(i) be the third derivative of -i**6/60 - 569*i**5/60 + 7*i**4/24 + 40*i**3 + 3*i**2 + 91*i + 2. Find the second derivative of k(m) wrt m.
-12*m - 1138
Let j(l) = l**2 + 5*l - 3. Let k be j(-6). Suppose k*h = -0*h + 24. Differentiate -2*g + 3 + h*g + 1 + 8 with respect to g.
6
Let n(y) be the second derivative of -199*y**8/28 - 1367*y**4/12 + y + 54. Find the third derivative of n(w) wrt w.
-47760*w**3
Let r(q) = -600*q**5 + 1032*q**2 - 16*q + 8. Let j(p) = p**5 - 2*p**2 + 2*p - 1. Let m(t) = -8*j(t) - r(t). Find the third derivative of m(n) wrt n.
35520*n**2
Let a(r) be the second derivative of 26*r + 11/15*r**6 + 0*r**5 - 1/12*r**4 - 2 + 0*r**3 + 73/2*r**2. What is the first derivative of a(t) wrt t?
88*t**3 - 2*t
Differentiate 1562*j**3 + 222*j**2 + 102 - 1559*j**3 - 777 with respect to j.
9*j**2 + 444*j
Let s be 3*3/(9/(-8)) + -1. Let h(y) = y**3 + 8*y**2 - 12*y - 1. Let j be h(s). Find the third derivative of 59 - j - 33 + l**6 - 24*l**2 wrt l.
120*l**3
Find the second derivative of 47067*p**2 + 4*p + 12*p**3 + 18 - p**4 + 8 + 22 - 47065*p**2 - 8 wrt p.
-12*p**2 + 72*p + 4
Let h(v) be the third derivative of -1/24*v**4 - 11*v**2 + v + 7/15*v**5 + 1/105*v**7 + 0 + 3*v**3 + 0*v**6. What is the second derivative of h(l) wrt l?
24*l**2 + 56
Let j be 11/4 - 3/4. What is the third derivative of -10 + 12 - 17*h**2 - 8*h**5 + 4*h**j - 2 - 2*h**3 wrt h?
-480*h**2 - 12
Let j = 197 - 191. What is the first derivative of j - 34*i + 0*i**2 + 2*i**2 - 10 - 3*i**2 wrt i?
-2*i - 34
Let o(k) = k**3 - 14*k**2 + 11*k - 2. Let c be o(14). Suppose c + 488 = 5*v. Find the second derivative of -97*g - 53*g**3 + 18*g**3 + v*g wrt g.
-210*g
What is the second derivative of 3*j**2 + 954*j - 400*j + 597*j + 100*j**2 wrt j?
206
Let r = -64 + 67. What is the derivative of 13*p**2 + 9*p**2 + 201 - r*p**2 + p**2 - 42 wrt p?
40*p
Let r = -196 - -263. Find the second derivative of -130*h**3 + 3*h - 4*h**5 - 5*h + 128*h**3 + r wrt h.
-80*h**3 - 12*h
Let t(c) = 6355*c**2 + 30*c - 10. Let f(b) = 25417*b**2 + 112*b - 40. Let g(u) = 4*f(u) - 18*t(u). What is the second derivative of g(h) wrt h?
-25444
Suppose -2*j + 2*w = -46, 3*w - 12 = -w. Suppose 4*b - j = -q, 2*q + 7*b - 44 = 3*b. Differentiate 15*y - 8*y + 7*y + q + 14*y wrt y