y**4 + 0*y + 194/5*y**5 - 121/2*y**2. What is the second derivative of n(k) wrt k?
2328*k**2 + 12*k
Let r(v) = -31*v**3 + v**2 + 15*v + 460. Let n(f) = -f**3 - f**2 - f - 27. Let k(d) = n(d) + r(d). Find the first derivative of k(y) wrt y.
-96*y**2 + 14
Let k(s) = -128*s + 157. Let c be k(-9). Find the third derivative of 1309*n - c*n + 115*n**2 + 3*n**3 - 2 + 162*n**4 - 3*n**3 wrt n.
3888*n
Let r = -167 - -223. Find the first derivative of 5 + 78 + 22*t**2 + 12 - r*t**2 wrt t.
-68*t
Let m(l) be the third derivative of 0*l**4 - 263*l**2 + 281/60*l**5 + 0 + 1/70*l**7 + 0*l**3 - 19/60*l**6 + 0*l. Find the third derivative of m(i) wrt i.
72*i - 228
Let f(h) = 2387*h - 1132. Let v(b) = 1195*b - 567. Let r(z) = -6*f(z) + 13*v(z). What is the derivative of r(s) wrt s?
1213
Let d(f) = 174*f**2 - 3*f + 3896. Let n(b) = -519*b**2 + 9*b - 11691. Let x(a) = 8*d(a) + 3*n(a). What is the first derivative of x(s) wrt s?
-330*s + 3
Suppose 2*h = -2*d + 4, -5*h + h + 8 = -3*d. Find the third derivative of 7 + 12*g**h - 6 - 3 - 29*g**3 - 56*g**3 wrt g.
-510
Let o(r) be the third derivative of -99*r**6/40 - 19*r**4/6 + r**3/3 - 1132*r**2. What is the second derivative of o(m) wrt m?
-1782*m
Let z(c) be the third derivative of 209*c**8/336 - c**7/105 + c**6/60 - c**4/24 - 1324*c**3/3 - 4499*c**2. Find the second derivative of z(y) wrt y.
4180*y**3 - 24*y**2 + 12*y
Let a(z) = -1. Let n = -48 + 47. Let k(m) = 21*m**2 + 2*m + 30. Let d(q) = n*k(q) - 2*a(q). What is the second derivative of d(r) wrt r?
-42
Let o(b) = 6501*b**2 - 5875*b - 11. Let n(g) = 1299*g**2 - 1175*g - 2. Let q(h) = 11*n(h) - 2*o(h). Find the second derivative of q(a) wrt a.
2574
Let v(y) = y. Let u(x) = -6*x - 23. Let i(s) = -u(s) + 4*v(s). Let o be i(7). What is the third derivative of o*h**4 - h**2 - 25*h**5 - 93*h**4 wrt h?
-1500*h**2
Let w(p) be the first derivative of -336*p**5 + 1593*p + 1796. Differentiate w(f) wrt f.
-6720*f**3
Let r = 232 + -191. What is the third derivative of g**2 - r - 2*g**2 + 55 + 27*g**6 - 175*g**6 wrt g?
-17760*g**3
Let c(r) = -3*r**5 - r**4 + 2*r - 2. Let m(j) = -19*j**5 - 1153*j**4 - 1928*j - 12. Let y(g) = 6*c(g) - m(g). What is the second derivative of y(p) wrt p?
20*p**3 + 13764*p**2
Let p(n) be the second derivative of 431*n**4/12 - n**3/6 + 2361*n**2/2 - 1139*n. Differentiate p(l) with respect to l.
862*l - 1
Let y(q) = 4*q**2 + 31*q + 190. Let n be y(-7). What is the second derivative of 265*x**3 - 10 - 199*x + 8 + n*x wrt x?
1590*x
Suppose -34*l + 105 = l. What is the first derivative of -35 - 4*a**3 + 15*a**l - 6*a**3 - 13*a - 3*a**3 wrt a?
6*a**2 - 13
Let r(d) = d - 2. Let w(y) = 2*y - 4. Let s(b) = -9*r(b) + 4*w(b). Let v be s(-9). What is the third derivative of 0*o**2 + v*o**6 + 9*o**2 + 3*o**2 wrt o?
1320*o**3
Let p(q) be the third derivative of -1099*q**5/6 - 33*q**4/4 - q**3/2 + 19*q**2 - q + 25. Find the second derivative of p(f) wrt f.
-21980
Suppose 9 = 3*b - 3. What is the first derivative of -13*h**3 - 3*h**3 + b*h**3 + h - 32 + 4*h**3 wrt h?
-24*h**2 + 1
Let u(m) = -3508*m**2 - 8964. Let c(p) = -1171*p**2 - 2988. Let t(g) = 10*c(g) - 3*u(g). Differentiate t(w) with respect to w.
-2372*w
Suppose -4*g = n - 28, 9 = 3*g - n - 19. Suppose g = 7*z - 6. What is the first derivative of -5 + 30 + 34*l**2 - 33*l**z wrt l?
2*l
Let a(l) = -1320*l**2 + 10*l - 671. Let r(h) = 2*h**2 + 2*h + 1. Let u(f) = 2*a(f) - 10*r(f). Differentiate u(p) with respect to p.
-5320*p
Suppose 37*f = 26*f. Let p(w) be the first derivative of 0*w**3 + 5/4*w**4 + 25 + 21/2*w**2 + f*w. What is the second derivative of p(v) wrt v?
30*v
Let r(i) = -3 - 28*i - 12*i + 42*i. Let s(c) = 88*c - 242. Let g(b) = 110*r(b) - 2*s(b). Differentiate g(k) with respect to k.
44
Suppose 3*t = 28*p - 24*p, -5*t + 23 = p. What is the third derivative of 1865*a**5 + p*a - 1795*a**5 - 73*a**2 - 3*a wrt a?
4200*a**2
What is the second derivative of 2*q**3 + 146 - 634508*q + 634505*q - 2*q**3 + 4980*q**5 wrt q?
99600*q**3
Let p = 28832 + -14716. What is the third derivative of -14116 + p - 29*i**2 - 45*i**6 wrt i?
-5400*i**3
Let t(j) = 5*j + 0*j + 8 - 3*j. Let u be t(-3). What is the second derivative of -19*b**u + 10 - 12*b - 4 - 6 wrt b?
-38
Let h(n) be the first derivative of -8*n**5/5 - 179*n**4/4 + 7141*n**3/3 - 3027. What is the third derivative of h(y) wrt y?
-192*y - 1074
Let i(w) = 12629*w - 10083. Let c(z) = 6322*z - 5043. Let t(l) = 7*c(l) - 4*i(l). Differentiate t(v) with respect to v.
-6262
Let t(d) = d**2 + 9*d - 18. Let o be t(-11). What is the second derivative of -2*b**3 + 8 + 10*b + b**2 - 9*b + o*b**3 + 4*b**3 wrt b?
36*b + 2
Let q(j) be the second derivative of -48*j - 27/20*j**5 - 2 + 43/12*j**4 + 0*j**3 + 0*j**2. Find the third derivative of q(k) wrt k.
-162
Let j(z) be the first derivative of -1867*z**4/4 + 413*z**3 - 2044. What is the third derivative of j(f) wrt f?
-11202
Suppose -14*n = -23*n + 99. Differentiate 125*c - n - 48 - 11 - 24 with respect to c.
125
Let r(b) be the first derivative of -13/5*b**5 + 0*b**2 - 2/3*b**3 + 112*b + 332 + 0*b**4. What is the third derivative of r(j) wrt j?
-312*j
What is the first derivative of 137 - 1636*b**3 - 1668 - 436 - 342 - 731*b**3 wrt b?
-7101*b**2
Let u be (-2)/5 + 9*(-9)/(-15). Suppose -u*f - 10 = p, 5*f - 32 = -4*p + 3*f. Differentiate -n**4 - 11 + n**4 - p*n**4 - 10 wrt n.
-40*n**3
Suppose -5*u - 7 = -4*d, -3*d + 11 = -2*u + 4*u. Suppose 5*m = -d*m + 32. Find the third derivative of 4*f**2 + 18*f**6 + 20*f**m - 20*f**4 wrt f.
2160*f**3
What is the third derivative of 83*y**2 + 161*y**2 - 46*y**2 + 88*y**2 + 1753*y**3 + 22*y**2 + y wrt y?
10518
Let j(t) = 4386*t - 4659. Let g(s) = -2923*s + 3105. Let r(d) = -8*g(d) - 5*j(d). What is the derivative of r(q) wrt q?
1454
Let v(g) be the first derivative of -2*g + 0*g**4 - 101*g**2 - 39 + 0*g**5 + 49/3*g**6 + 0*g**3. What is the second derivative of v(n) wrt n?
1960*n**3
Let w(r) be the third derivative of -7055*r**4/24 + 3601*r**3/6 - r**2 + 1388*r + 1. Differentiate w(t) with respect to t.
-7055
Let i(v) be the first derivative of 1353*v**4/2 - 5461*v + 5366. What is the first derivative of i(p) wrt p?
8118*p**2
Let f = -158 + 161. Find the second derivative of 23 - 74 - 2*d + 33*d**f + 3*d**2 + 44 wrt d.
198*d + 6
Let n be (0 - 6)/1 + -48 + 48. Let d be (-1)/(9/n)*6. What is the derivative of -1229*j**4 - 7 + 1230*j**d - 16 + 9*j wrt j?
4*j**3 + 9
Let x be (-104)/(-13)*(8 - 120/16). Let j(y) = y + 1. Let i be j(3). Find the first derivative of -13*m**i - 6*m**x - 40 + 56 wrt m.
-76*m**3
Let f be 183/9 + (-4)/12. Suppose f*q = 18*q + 20. Find the second derivative of -7*y**5 + 13*y + 17*y - q*y wrt y.
-140*y**3
Let p(t) be the third derivative of t**8/2520 - t**6/240 + 11*t**5/12 - 21*t**2. Let o(g) be the third derivative of p(g). What is the derivative of o(h) wrt h?
16*h
Let s(g) be the first derivative of -2*g**6/15 - 27*g**5/20 + 131*g**2/2 - 106*g - 146. Let m(a) be the first derivative of s(a). Differentiate m(y) wrt y.
-16*y**3 - 81*y**2
Suppose -3 = 3*v, 0 = 5*d - 4*v - 228 - 176. What is the second derivative of -158*b**3 - 10*b + 1 + d*b**3 - 53*b**4 + 78*b**3 + 2*b**2 wrt b?
-636*b**2 + 4
Let p(w) be the second derivative of w**6/10 + 31*w**5/20 - 5*w**4/12 - 31*w**2/2 - 19*w - 17. What is the third derivative of p(j) wrt j?
72*j + 186
Let u be (161/35 + -5)/(5 - 52/10). Let z(x) be the second derivative of -31/2*x**u + 0 - 1/2*x**3 - 9*x. What is the derivative of z(g) wrt g?
-3
Suppose 0 = 14*x - 3914 + 1086. Find the second derivative of -450*s + 7*s**4 + 208*s + x*s - 3*s**2 wrt s.
84*s**2 - 6
Suppose 0 = 4*i + 5*y - 8, i = -2*i - 4*y + 6. Let q = 518 + -494. Find the third derivative of -7*v**2 - 3*v**6 + 0*v**6 + q*v**i wrt v.
-360*v**3
Suppose -8*a + 92 - 4 = 0. Suppose a*z = 5*z + 78. Differentiate 2 + z + 9*h - 7 + 9 with respect to h.
9
Let c(g) = 53*g**2 + 3*g - 210. Let y(n) = 11*n**2 - n - 3. Let k(x) = -2*c(x) + 10*y(x). What is the first derivative of k(h) wrt h?
8*h - 16
Let f be ((-11)/(-5) + -4 - -1)*-5. Differentiate 0*j + 0*j + 16 + 2*j**f - 6*j**4 - 15*j**3 + 0*j with respect to j.
-16*j**3 - 45*j**2
Let o(y) be the third derivative of 0 + 0*y + 2/3*y**4 - 11/3*y**3 - 21*y**2. Differentiate o(s) with respect to s.
16
Let m(c) be the first 