- 2*i + 1 + 2/3*i**3. Find the second derivative of p(j) wrt j.
-60*j + 4
Let h(x) be the second derivative of x**6/30 - 611*x**5/20 + x**3/6 + 971*x**2 + 1960*x. What is the second derivative of h(i) wrt i?
12*i**2 - 3666*i
Let w(k) be the second derivative of -k**7/21 + 187*k**6/15 - k**3 - 77*k**2/2 + 1493*k. What is the second derivative of w(i) wrt i?
-40*i**3 + 4488*i**2
Suppose -43 - 7 = -10*f. Find the third derivative of -3*k**4 + 4*k**4 - 79*k**2 - k**4 + 2*k**3 - 22*k**5 - 19*k**f wrt k.
-2460*k**2 + 12
Let h(f) be the second derivative of 3*f + 1/15*f**6 + 29/10*f**5 - 1/2*f**3 - 18 + 0*f**2 + 7/6*f**4. Find the third derivative of h(w) wrt w.
48*w + 348
Find the second derivative of 27*u**4 + 52*u - 7*u + 7007 - 7000 wrt u.
324*u**2
Let m(c) be the second derivative of 23*c**8/56 + 3*c**7/7 + 603*c**4/4 - 1502*c. Find the third derivative of m(z) wrt z.
2760*z**3 + 1080*z**2
Let x(l) = 67*l**2 - 16*l + 1129. Let b(m) = -63*m**2 + 13*m - 1128. Let p(h) = 3*b(h) + 2*x(h). Find the first derivative of p(y) wrt y.
-110*y + 7
Let u(l) = -201925*l**4 + 164400*l**2 - 275. Let i(t) = -1474*t**4 + 1200*t**2 - 2. Let g(z) = 275*i(z) - 2*u(z). Find the third derivative of g(b) wrt b.
-36000*b
Let l(s) = -4*s - 5. Let g be l(-6). Let i(f) = -16*f + 19. Let n be i(0). Differentiate g*o - 3 + 2 + 3 + n wrt o.
19
What is the third derivative of 400*b**2 - 2369*b**3 + 2419*b**3 - 81*b**2 wrt b?
300
Find the first derivative of 1129*q**3 + 42928 + 446*q**3 - 41639 wrt q.
4725*q**2
Let z(y) = -31*y**3 - 26*y**2 + 59*y - 3300. Let c(k) = -2*k**3 - 2*k**2 + 2*k - 3. Let h(l) = 14*c(l) - z(l). Differentiate h(a) wrt a.
9*a**2 - 4*a - 31
Let u(z) be the first derivative of -469*z**6/3 - 2*z**3/3 - 1006*z + 1375. Find the third derivative of u(x) wrt x.
-56280*x**2
Let k(v) be the first derivative of 749*v**4/2 + 546*v + 205. What is the first derivative of k(m) wrt m?
4494*m**2
Let o(h) be the first derivative of -3*h**7/7 - 25*h**6/2 + 2167*h**3/3 + 1342. What is the third derivative of o(b) wrt b?
-360*b**3 - 4500*b**2
Differentiate -2513*d**2 + 153*d**2 - 968 + 174*d**2 + 41 - 2919*d**2 wrt d.
-10210*d
Let r(u) be the second derivative of 0*u**6 - 95/6*u**3 - 3 + 0*u**4 - 29/21*u**7 - 21*u + 0*u**2 + 0*u**5. Find the second derivative of r(s) wrt s.
-1160*s**3
Let m(z) = -344*z**2 - 27*z + 105. Let w(x) = -343*x**2 - 22*x + 105. Let a(h) = 4*m(h) - 5*w(h). Differentiate a(u) wrt u.
678*u + 2
Let v(f) be the second derivative of -25*f**3/2 - 1313*f**2/2 + 12*f + 39. Differentiate v(j) wrt j.
-75
Suppose 146 - 116 = 6*w. What is the third derivative of -w*k**3 - 25*k**3 + 3*k**2 - 5*k**3 - 9*k**3 - 14*k**3 - 50*k wrt k?
-348
Let n(q) be the second derivative of -8/15*q**6 - 5/2*q**4 + q - 13 - 1/20*q**5 + 0*q**2 + 0*q**3. What is the third derivative of n(u) wrt u?
-384*u - 6
Let z be (2 + (-63)/(-6))/((-1)/(-6)). Suppose -33 = -6*u + z. Find the third derivative of 20*i**2 + 1151*i - 1151*i + u*i**6 wrt i.
2160*i**3
Let f = 223 + -221. What is the derivative of -18 - 18*h**2 - 34 + 11*h**f + h**3 wrt h?
3*h**2 - 14*h
Let o(n) = -n**3 - 6*n**2 + 38*n - 17. Let z be o(-10). Find the third derivative of -219*m**3 + 2*m + 10*m**2 + 219*m**z - 234*m**5 wrt m.
-14040*m**2
Let t(c) = -154*c**5 + 5*c**4 + 1536*c**2 - 5*c. Let w(x) = -x**5 - 2*x**2 + x. Let u(f) = -t(f) - 5*w(f). Find the third derivative of u(p) wrt p.
9540*p**2 - 120*p
Let x(d) be the first derivative of 2*d**5/5 - d**4 + 140*d**2 - 5968*d - 1855. Find the first derivative of x(m) wrt m.
8*m**3 - 12*m**2 + 280
Let k(y) be the first derivative of 1107*y**4/2 + 24*y - 1376. What is the derivative of k(a) wrt a?
6642*a**2
Let g(r) = 54*r**4 + 14*r**2 + 5*r - 2410. Let z(o) = -o - 5. Let v(k) = g(k) + 6*z(k). Find the second derivative of v(s) wrt s.
648*s**2 + 28
Let j(z) be the first derivative of -40*z**3 + 0*z**4 + 118/5*z**5 - z - 180 + 0*z**2. What is the third derivative of j(u) wrt u?
2832*u
What is the second derivative of -4075044 + 4075044 + 384*k**2 + 3106*k wrt k?
768
Let h = 7 - 3. Suppose -3*w + 6*w + h*f = -1, w - 25 = 5*f. What is the third derivative of -7*i**5 + 0*i**w + 28*i**2 + 7*i**5 - 9*i**6 wrt i?
-1080*i**3
What is the first derivative of 14 - 81 - 31 + 2284*o**3 - 34 - 2358*o**3 wrt o?
-222*o**2
Suppose 3*v - 6 = v - z, 2*v + 5*z - 6 = 0. What is the second derivative of 57*g - 2*g**2 + 0*g + 62*g**3 + 12*g**v wrt g?
444*g - 4
Find the second derivative of 2133*f**3 + 2181*f - 4266*f**3 + 1335*f**3 + 1887*f**3 wrt f.
6534*f
Let k(m) be the second derivative of 5*m + 19/6*m**4 + 1 + m**2 - 3*m**3. What is the second derivative of k(b) wrt b?
76
Differentiate -2633 - 57 + 171*a**4 + 105*a**4 + 276*a**4 - 21*a**4 wrt a.
2124*a**3
Suppose 0 = -4*z - 47 + 67. Suppose 3*a + 2*o - 28 = 0, z*a + 4*o - 50 = -2. Differentiate -a*y - 8 + 1 + 2*y + 15*y wrt y.
9
Let j = -31 - -56. What is the derivative of 77 + 24*w**3 - j*w**3 - 55*w**3 wrt w?
-168*w**2
Let h(a) = a + 14. Let z be h(-12). What is the second derivative of 30*j**3 - 45*j**z - 60*j**3 + 28*j**3 + 26*j - 4 wrt j?
-12*j - 90
Suppose 0 = 5*g + 20, -w + 11*g - 12*g = -177. What is the second derivative of -2703 - n**5 + 2703 + 67*n - w*n**4 + 135*n wrt n?
-20*n**3 - 2172*n**2
Let y(b) be the third derivative of -1061*b**6/40 + 39*b**5/20 - b**4/12 + b**3/2 + 2*b**2 + 2*b - 74. What is the third derivative of y(c) wrt c?
-19098
Suppose 0 = 4*y - 85 + 1. Suppose 17*q = 10*q + y. What is the second derivative of 135*s + 0*s**4 + q*s**4 - 139*s wrt s?
36*s**2
Let h(s) be the first derivative of 837*s**2 - 789*s**2 + 78 - 58*s + 28. Find the first derivative of h(p) wrt p.
96
Suppose -10*z = -3*z - 427. What is the second derivative of -35*d - d**3 + 2*d**3 + 1 - 38*d - 54*d**2 + z*d wrt d?
6*d - 108
Find the third derivative of -289*x**3 - 801*x**3 - 138*x**3 - 2568*x**2 wrt x.
-7368
Let k(g) be the first derivative of -11/4*g**4 + 2/3*g**3 + 42 - 2/5*g**5 + 4*g**2 + 0*g. What is the third derivative of k(q) wrt q?
-48*q - 66
Let o(a) be the third derivative of 92*a**6/5 + 46*a**5 + 2907*a**2. What is the third derivative of o(r) wrt r?
13248
Let l(i) be the first derivative of -5*i**6/2 - 2*i**5/5 + 25*i**4/4 + 1343*i**3 - 2*i - 9857. Find the third derivative of l(k) wrt k.
-900*k**2 - 48*k + 150
Let m be 47/(-235) + (-2)/(10/(-21)). Find the third derivative of -11 + 7 + 3*j**5 + 156*j**2 + 5*j**m + 75*j**2 + 4 wrt j.
180*j**2 + 120*j
Let j be 16/(-56) - (-153)/21. Suppose 3*g + j = t, t + 18 = 5*t - 2*g. What is the third derivative of 15*y**3 + t*y**2 + 0*y**2 + 4*y**2 + 3*y**2 wrt y?
90
Let m(d) = 2*d**2 + 19*d - 4. Let t be m(-10). Find the third derivative of 14*l**2 - 8*l - 85*l**6 + 82*l**2 + t*l wrt l.
-10200*l**3
Let f = 303 - 300. Find the first derivative of -24 + 15*b**3 - 156*b**f + 33 + 87 wrt b.
-423*b**2
Let b(i) = 1560*i**2 + 2016. Let n(m) = m**2 + 1. Let v(f) = b(f) + 12*n(f). What is the derivative of v(k) wrt k?
3144*k
Let t(g) = -g**3 - 3*g**2 + 14*g - 6. Let z be t(-6). Let r = -8 + 20. Find the third derivative of -z*k**2 - 8*k**6 + r*k**2 + 15*k**6 + 9*k**6 wrt k.
1920*k**3
Let f be 26/39*(-6)/(-4). What is the third derivative of 16*q**4 + 265*q**2 - 3*q**4 + 0 + f - 262*q**2 wrt q?
312*q
Let u(i) be the second derivative of -274*i**5/5 - 439*i**2 - 67*i - 8. Differentiate u(d) wrt d.
-3288*d**2
Find the third derivative of -2025*i**2 - 849*i**4 - 796*i**4 - 1845*i**2 wrt i.
-39480*i
Differentiate -5201 - x**3 + 978 + x**3 - 3548*x**4 + 288*x**4 with respect to x.
-13040*x**3
Let t(v) = -v + 1. Let a(c) = -3*c + 4. Let s(y) = a(y) - 4*t(y). Let g be s(4). Differentiate 28*m - 54*m + 26*m + 3 + 11*m**g with respect to m.
44*m**3
Let s(a) = -926*a**4 - 4847*a**2 - 7*a + 7. Let c(m) = 307*m**4 + 1616*m**2 + 2*m - 2. Let h(v) = 7*c(v) + 2*s(v). Find the third derivative of h(o) wrt o.
7128*o
Find the second derivative of 6*h**2 + 6*h - 2 - 15*h**4 - 3*h**2 - 9 - 28 + 11*h**2 wrt h.
-180*h**2 + 28
Let u(v) be the third derivative of -271*v**9/126 + 125*v**5/6 + 533*v**2 - 2. Find the third derivative of u(l) wrt l.
-130080*l**3
Let o be (6/(-2))/(-3) - -1. Suppose -o*v - 3*x = 5, -4 = 2*x + 2. Find the first derivative of 0 + u**2 - 1 + 5*u**2 + 12*u**v wrt u.
36*u
Let f be 426/(-21) + 8/28. Le