f -1417*y**9/252 - 809*y**5/30 + y**4/24 + 2*y**2 + 41. What is the third derivative of v(m) wrt m?
-340080*m**3
Let c(b) = -4217*b**3 - 27*b - 4224. Let z(u) = -2109*u**3 - 12*u - 2112. Let h(n) = 4*c(n) - 9*z(n). Differentiate h(i) with respect to i.
6339*i**2
Let j(l) be the second derivative of 0*l**5 + 3*l + 43/42*l**7 - l**3 + 0*l**4 + 0*l**6 - 1/2*l**2 + 13. What is the second derivative of j(m) wrt m?
860*m**3
Let b(z) = -4194*z**3 - 2*z**2 + 31*z - 38. Let v(j) = -3*j**3 - 3*j - 2. Let y(g) = -b(g) - 12*v(g). What is the third derivative of y(p) wrt p?
25380
Let b(q) be the first derivative of 0*q**2 - 27 - 116/3*q**3 - 112*q. Differentiate b(j) with respect to j.
-232*j
Let m(d) be the second derivative of 49*d**2 + 1/3*d**3 + 1/10*d**5 + 0 + 0*d**4 - 86*d. Differentiate m(x) wrt x.
6*x**2 + 2
What is the third derivative of 298*y**4 - 1089*y**2 + 1263*y**4 + 674*y**2 - 6942*y**4 - 821*y**2 wrt y?
-129144*y
Let y(q) be the third derivative of -479*q**6/30 - q**5/60 + 35*q**4/4 - q**3/6 - 1424*q**2. What is the second derivative of y(u) wrt u?
-11496*u - 2
Let h = 17 - 15. Suppose -2*o - 1 = -n - h, 4*n - 10 = o. What is the first derivative of 5*k**3 - 4 + 16*k**3 + o wrt k?
63*k**2
Let s(p) be the second derivative of 1487*p**8/56 - 37*p**4/12 + 3*p**2 + 10*p + 56. What is the third derivative of s(n) wrt n?
178440*n**3
Let f(s) be the third derivative of -13*s**8/336 + 31*s**7/70 - 49*s**4/24 + 5*s**3/3 + 1352*s**2. What is the second derivative of f(y) wrt y?
-260*y**3 + 1116*y**2
Suppose 19*r - 16*r + 171 = 0. Let m be r*1*-4*(-4)/(-48). Find the first derivative of 11*u**3 - 37 + m + 8 wrt u.
33*u**2
Let n(r) = -39*r - 102. Let b(a) = 77*a + 206. Suppose -5*s - i + 25 = 0, 4*i - 25 = -s - 4*s. Let q(h) = s*n(h) + 2*b(h). Differentiate q(p) with respect to p.
-41
Let a(w) be the second derivative of 157*w**4/2 - 412*w**3/3 - w + 470. Find the second derivative of a(d) wrt d.
1884
Find the third derivative of -823*b**2 - 1 - 1 - 495*b**2 + 2 - 1250*b**3 wrt b.
-7500
What is the second derivative of s**5 - 4 + 915*s**4 - 21 + 130*s**3 - 18*s - 130*s**3 wrt s?
20*s**3 + 10980*s**2
What is the second derivative of -47*l + 76*l + 1694*l**2 - 620*l**2 + 101 + 1521*l**2 wrt l?
5190
Suppose 2*l + s - 4 = 0, 5*s - 6*s = 4*l - 8. What is the first derivative of 16010 - 16022 - 12*i**l + 5*i**3 + 2*i**3 wrt i?
21*i**2 - 24*i
Let d(h) = 5*h**3 - 2*h**2 + 1. Let g be d(1). Find the second derivative of 5*t**4 + 4*t**g + 4*t**5 - 4*t**4 + 13*t + 10*t**4 wrt t.
80*t**3 + 180*t**2
Differentiate 1232 + 2123 - 2865*k**3 + 994*k**3 wrt k.
-5613*k**2
Let r(b) be the third derivative of 1847*b**7/210 - 1099*b**4/24 - b**3/3 + 2*b**2 + 2*b - 2517. Find the second derivative of r(q) wrt q.
22164*q**2
Let w(y) = -y - 25. Let u(i) = 3*i + 99. Let g(b) = 4*u(b) + 15*w(b). Let n be g(6). What is the first derivative of 7*s - s + 8 + n*s wrt s?
9
Suppose -25 = -36*z + 35*z. Suppose 3*j = 5*a - z, -a - 4*j - 10 = -3*a. Find the second derivative of -75*q**4 + 10*q**5 - 24*q - 29*q**a + 75*q**4 wrt q.
-380*q**3
Let g be (76/28 + -3)*(-13 + 6). What is the second derivative of 153*u**g + 813*u + 921*u - 1646*u wrt u?
306
Let g(p) = -621*p + 243. Let l(x) = -122*x - 22 + 83*x + 46*x + 49*x. Let h(s) = -4*g(s) - 45*l(s). Differentiate h(n) wrt n.
-36
Let l(w) = 2*w**2 + 12*w + 16. Let d be l(-5). Let x(o) be the first derivative of 2*o**6 + 2*o**6 - 30 + 70 - d*o**2. Find the second derivative of x(q) wrt q.
480*q**3
Let d(u) be the first derivative of 3*u**4/4 + 10*u**3/3 + 918*u - 379. Find the first derivative of d(a) wrt a.
9*a**2 + 20*a
Let p(z) be the first derivative of 5277*z**5/5 + z**3 + 55*z**2 + 2*z - 30. Find the third derivative of p(b) wrt b.
126648*b
Suppose -2*n - i = -8, 2*i = -3*n + n + 6. Suppose -25 = n*r, -4*k - 4*r - 4 = -0*r. Differentiate -a + 22*a + k - 5 - 5 wrt a.
21
Let l(a) = 2828*a**4 + 5*a**2 - 1867*a + 55. Let w(k) = 2827*k**4 + 4*k**2 - 1866*k + 44. Let i(u) = 4*l(u) - 5*w(u). Find the second derivative of i(d) wrt d.
-33876*d**2
Find the third derivative of 13*n**5 - 39505*n**4 + 39472*n**4 + 532*n**2 + 3*n**5 wrt n.
960*n**2 - 792*n
Let c(w) = 4663*w**4 + 11*w**3 - 21315. Let p(r) = -777*r**4 - 2*r**3 + 3552. Let v(u) = 4*c(u) + 23*p(u). What is the derivative of v(h) wrt h?
3124*h**3 - 6*h**2
Let b(x) = 17 + 45 - 15 + 0 + 5*x - x**2. Let m be b(8). What is the derivative of 23 + 39*h**2 + m + h**2 wrt h?
80*h
Let r(c) = 11*c + 10. Suppose 3*q = 33 - 30. Let x be r(q). Find the second derivative of -56*l**3 + l + x*l**3 - 5*l wrt l.
-210*l
Let p = 3 - -37. Let o = -38 + p. What is the third derivative of -1219*d + 5*d**o + 10*d**5 + 1219*d wrt d?
600*d**2
Find the first derivative of 16036*w + 14493*w + 2334 - 29357*w wrt w.
1172
Let p = 241 - 236. Find the second derivative of 15*o**3 - 15*o**3 + p*o + 12 + 93*o**5 - 216*o**5 wrt o.
-2460*o**3
Suppose r = 4*z - 317, 3*z = -2*z + 4*r + 399. Suppose 75*t - z*t = -16. Find the third derivative of 7*i**4 - 15*i**2 + 7*i**4 + 5*i**t - 26*i**4 wrt i.
-168*i
Let u be (-1)/(-2) - ((-95)/10)/(-1). Let k be 2/u - 6/(-81)*30. Find the third derivative of -21*m**2 + 23*m**k - 43*m**6 + 21*m**2 wrt m.
-5160*m**3
Let i(k) = 1021*k**3 - 370*k**2 + 2*k + 22. Let d(g) = -1021*g**3 + 370*g**2 - 3*g - 32. Let p(v) = 2*d(v) + 3*i(v). Find the third derivative of p(a) wrt a.
6126
Let h(v) be the third derivative of 47/24*v**4 + 0 + 0*v**5 - 73*v**2 + 0*v**3 + 2/15*v**6 + 0*v. Find the second derivative of h(n) wrt n.
96*n
Let g(x) = 2003*x**4 + 4*x**3 - 32. Let z(t) = -3*t**4 - t**3 - 2. Let r(v) = -g(v) - 4*z(v). Find the first derivative of r(u) wrt u.
-7964*u**3
Let r be (-110)/3 + ((-8)/6)/4. Let i = r + 47. What is the third derivative of i*g**4 + 7*g**2 - 4*g**4 + 9*g**4 - 2*g**4 wrt g?
312*g
Let l(k) = -k**5 - 2*k**4 + 2. Let j(w) = -2*w**5 + 2033*w**4 - 5326*w**2 + 8. Let m(o) = -j(o) + 4*l(o). What is the third derivative of m(z) wrt z?
-120*z**2 - 48984*z
Let l(r) be the second derivative of -1621*r**3/3 - 4105*r**2/2 - r + 814. What is the first derivative of l(g) wrt g?
-3242
Suppose 3*x = 3*g - 36, 11*x - 9*x + 60 = 5*g. Find the second derivative of 11*u - 8*u + 12 + 2*u**3 - g*u**4 + 27 wrt u.
-144*u**2 + 12*u
Suppose 3*x - 33 = -3*r, -3*r - 32 = -x - 5. Suppose 3*l + 29 = z, -3*l + 6*l = -x. Find the third derivative of 75*s + z*s**2 - s**3 - 75*s wrt s.
-6
Let b(v) be the first derivative of 179*v**5 + 865*v**2 - 3508. What is the second derivative of b(t) wrt t?
10740*t**2
Let f(k) be the third derivative of -3319*k**4/12 + 8635*k**3/6 - 1496*k**2. Differentiate f(o) with respect to o.
-6638
Let q(l) be the second derivative of -1993*l**5/10 + 227*l**4/12 - l**3 - 993*l + 1. What is the third derivative of q(f) wrt f?
-23916
What is the third derivative of -3673*m**2 - 2683320*m**4 + 2683320*m**4 - 319*m**5 wrt m?
-19140*m**2
Find the first derivative of -51653 - 2147*k + 24157 + 25053 wrt k.
-2147
What is the first derivative of -4*n**2 - 21236*n**3 + 4043 + 0*n**2 + 2646 + 21517*n**3 wrt n?
843*n**2 - 8*n
Suppose -o = -3*c + 6, -2*c + 0 = -4*o + 6. Let t(v) = -2*v - 9. Let r be t(-6). Differentiate c + 2*w**r + 24 - 2 - 11 with respect to w.
6*w**2
Let m(z) be the second derivative of 143*z**4/4 + z**3/3 + 602*z**2 - 153*z + 11. Find the second derivative of m(q) wrt q.
858
What is the third derivative of 2758754*s - 2758754*s + 365*s**2 - 5*s**5 + 18*s**4 wrt s?
-300*s**2 + 432*s
Differentiate -342*u - 1284 - 1772*u - 922*u + 1655 wrt u.
-3036
Suppose 0 = -3*g + 5*m - 0*m + 2523, 3*g - 4*m - 2523 = 0. Find the third derivative of 839*w - w**2 - g*w - 33*w**3 + 7*w**2 wrt w.
-198
Let t(q) = 53*q + 2332. Let v be t(-44). Let w(y) be the second derivative of -17/2*y**2 + v - 4*y + 0*y**3 - 2/3*y**4. Find the first derivative of w(k) wrt k.
-16*k
Let o be 242/1 + (0/7 - 5). What is the second derivative of -245*q - 109 + 104*q**2 + 483*q + q**3 - o*q wrt q?
6*q + 208
Let b(w) be the first derivative of -101 + 5*w**2 + 68*w + 2/3*w**3. Differentiate b(h) wrt h.
4*h + 10
Let u(t) = 4*t**2 - 70*t - 33. Let a be u(18). Find the second derivative of 9*o**3 + a*o**3 - 17*o + o**4 + 27*o**3 - 4*o**3 wrt o.
12*o**2 + 210*o
Let i(d) be the second derivative of -4567*d**5/20 + 50*d**4