c(l) = l**2 + 29*l + 127. Let h be c(-25). Find the third derivative of h*a**2 + 355 + 93*a**2 + 103*a**3 - 355 wrt a.
618
What is the second derivative of 417*l - 77 - 44*l**5 - 892*l**5 - 414*l + 394*l**5 - 698*l**5 wrt l?
-24800*l**3
Let a(s) = 41*s**2 + 40. Suppose 10*i - 243 = 7*i. Let j(f) = i*f - 81*f - 1 - f**2. Let z(c) = -a(c) - 6*j(c). Differentiate z(n) with respect to n.
-70*n
Let b(g) be the first derivative of -1813*g**4/2 + 2088*g + 648. Differentiate b(u) with respect to u.
-10878*u**2
Let n(a) = -61*a**2 + 2*a - 241. Let x(d) be the first derivative of d**3/3 - 3*d + 221. Let z(t) = -n(t) - 2*x(t). Find the first derivative of z(r) wrt r.
118*r - 2
What is the second derivative of 254 + 3187*z**2 + 76 + 859 + 256 - z wrt z?
6374
Suppose -13*k - 52 = -j, 4*k - 3*k + 4 = 5*j. Let a(u) be the first derivative of j*u**2 - 1/3*u**3 - 13 - 5*u. Differentiate a(f) with respect to f.
-2*f
Let q(j) be the first derivative of 1615*j**4/4 + 3811*j**2/2 + 2540. Find the second derivative of q(a) wrt a.
9690*a
Let d(z) = 19*z**4 - 1335*z**2 - 192*z. Let i(w) = 79*w**4 - 5337*w**2 - 768*w. Let n(h) = -25*d(h) + 6*i(h). What is the second derivative of n(a) wrt a?
-12*a**2 + 2706
Let h(r) = -4*r**3 + 2*r**2 - 2*r + 1. Let s(g) = -1049*g**3 - 12*g**2 + 12*g + 2568. Let l(y) = -6*h(y) - s(y). What is the derivative of l(n) wrt n?
3219*n**2
Differentiate 1167 + 917*z + 982*z - 1509*z with respect to z.
390
Let s(u) be the first derivative of -136*u**5 + 559*u**2/2 + 2*u - 512. Find the second derivative of s(c) wrt c.
-8160*c**2
Suppose -39 = -9*w - 3. Suppose -w*m + 0*k - 4*k + 40 = 0, -39 = -4*m - 3*k. Find the third derivative of -17*l**2 + m*l**5 - 2*l**5 + 32*l**2 wrt l.
420*l**2
Let d be 10/(-20) - (-42)/(-4). Let b = 16 + d. Find the third derivative of 5*v - 114*v**3 - b*v**2 + 98*v**3 - 5*v wrt v.
-96
Suppose 10*d = 12*d - 14. What is the derivative of -46 + 9*a**2 + a**2 + d*a**2 wrt a?
34*a
Let r(v) be the second derivative of 19*v**8/14 + 2*v**5/5 - v**4/4 - 5*v**3 - 10*v - 25. Find the third derivative of r(g) wrt g.
9120*g**3 + 48
Suppose -34*s + 4180 = -12*s. Differentiate 106 + s*r**2 + 13*r**2 + 111 - 135 wrt r.
406*r
Let w = 65 + -62. Suppose -2*o + 0 = -5*g - 4, 4*o + w*g = 8. Find the third derivative of -19*v**o + 1952*v - 1952*v + 11*v**4 wrt v.
264*v
Find the third derivative of 1097*b**2 - 143*b**2 - 738*b**3 + 740*b**3 + 581*b**4 wrt b.
13944*b + 12
Let i(m) be the third derivative of 92*m**5/5 + 1753*m**4/8 - 2*m**2 + m - 563. What is the second derivative of i(v) wrt v?
2208
Let x = 42 + -42. Let r be x/6 + (6 - 3). What is the third derivative of -4*n**3 - 8*n**3 - 7*n**r + 2*n**3 - 8*n**2 wrt n?
-102
What is the first derivative of 5206*c**4 - 679 + 1788 + 1591*c**4 - 5201 wrt c?
27188*c**3
Let d(a) be the first derivative of -865*a**4/2 + 21*a**3 - 5*a**2/2 - 996. What is the third derivative of d(x) wrt x?
-10380
Let y(o) be the second derivative of 603*o**5/20 - 5*o**4/12 + 3925*o**3/2 + 3496*o + 2. Find the second derivative of y(q) wrt q.
3618*q - 10
Let j be (3 + (-19)/7)*14. Suppose -11*d + 4 = -y - 7*d, 2*y = 4*d. Find the third derivative of 0*o**4 + 5*o**4 + 7*o**j + 4*o**2 - 3*o**y wrt o.
216*o
Suppose 0 = -47*u - 53 + 288. Let c(h) be the first derivative of 0*h - 11/2*h**2 + 0*h**3 + 0*h**4 - 8/5*h**u - 7. Find the second derivative of c(f) wrt f.
-96*f**2
Let t be (30/(-125))/((-132)/825). Let g(p) be the second derivative of 0 + t*p**4 + 6*p + 0*p**2 - 8/3*p**3. What is the second derivative of g(c) wrt c?
36
Find the third derivative of -10135332*a**2 + 10132408*a**2 - 1353*a**3 + 6930*a**3 wrt a.
33462
Let x(c) be the second derivative of 2*c - 41/30*c**6 - 3 + 0*c**5 + 0*c**4 - 57*c**2 + 0*c**3. What is the derivative of x(v) wrt v?
-164*v**3
Let y(w) be the third derivative of -w**6/15 - 259*w**4/12 + 3043*w**3/3 + 6*w**2 - w - 17. Differentiate y(m) with respect to m.
-24*m**2 - 518
Suppose a + 11 = -5*s, -2*s - 8 = 5*a - 22. Suppose -2*m - a*j = -4, 3*j = 3*m + 2*m - 75. What is the second derivative of 15*u**2 - 8*u - 2*u**2 - m*u wrt u?
26
Suppose -4*v + 120 = -5*s, -8*v + 4*s = -6*v - 54. What is the second derivative of -n - 9*n**2 + 19*n**2 - v*n**2 - 23*n**2 wrt n?
-96
Differentiate 3422 - 1702*g - 633 - 3334*g + 966*g wrt g.
-4070
What is the third derivative of 36*z**2 + 21 + 4 + 6*z + 489*z**5 - 24 + 4044*z**5 wrt z?
271980*z**2
Let o(k) = 2083*k**2 - 15*k - 7. Let s(r) = -1032*r**2 + 8*r + 4. Let i(p) = -3*o(p) - 5*s(p). What is the second derivative of i(v) wrt v?
-2178
Suppose -3*n - 14 = -r, 0 = -4*r + r - 3*n - 6. What is the third derivative of 3*c**r - 11*c**2 + 50*c**4 + 4*c**2 - 3*c**6 + 13*c**4 + c**6 wrt c?
-240*c**3 + 1512*c
Let x be (10/15 - -3)*69. Suppose -4*i + 4*o + 244 = 0, -4*i - 2*o + x = -3*o. Find the second derivative of -i*r + 44*r - 24*r**4 + 3*r**3 - 3*r**3 wrt r.
-288*r**2
Let f(l) be the third derivative of -1202*l**7/105 + 217*l**5/30 - l**3/6 - 1365*l**2. What is the third derivative of f(q) wrt q?
-57696*q
Let t(i) be the first derivative of -1393*i**3 - 70*i**2 + 10*i - 442. What is the second derivative of t(j) wrt j?
-8358
Let n(a) = 4413*a**3 + 15*a**2 + 80*a + 11090. Let h(w) = -w**3 - 3*w**2 - 16*w + 1. Let p(f) = -5*h(f) - n(f). Find the first derivative of p(u) wrt u.
-13224*u**2
Let r(v) be the first derivative of -1492*v**2 - 3237*v - 3880. Differentiate r(h) wrt h.
-2984
Let w be 22 + 34 + 1 + 0. Find the second derivative of 38*r**5 - 54*r + 6 + 110*r - w*r + 29*r**5 wrt r.
1340*r**3
Let l = -116 + 118. What is the first derivative of l + 13*o + 13 + 21*o - 60*o wrt o?
-26
Let k(l) be the third derivative of 0*l + 0 + 128/3*l**3 - 127*l**2 - 3/70*l**7 + 0*l**5 + 1/6*l**4 + 0*l**6. Find the first derivative of k(a) wrt a.
-36*a**3 + 4
Find the second derivative of 1948*a**2 - 17*a**2 + 298*a**2 + 113*a**2 + 2422*a - 47*a**2 + 1 wrt a.
4590
Suppose -122*i = -120*i - 66. What is the derivative of i*r**3 - 11*r**2 + 13*r**2 + 56*r**2 - 34*r**3 - 90 wrt r?
-3*r**2 + 116*r
Let i = -3104 - -3106. Let k(t) be the third derivative of -14*t**i + 0*t**3 - 13/24*t**4 + 0 + 2/15*t**5 + 0*t. What is the second derivative of k(g) wrt g?
16
Find the second derivative of -3 + 3 + 678*v + 2 + 958*v**3 - 876*v**3 + 5*v**2 wrt v.
492*v + 10
Suppose -55 = -6*i - 19. Suppose -52*x = -55*x + i. What is the third derivative of 63*p - 34*p**6 - 63*p + 32*p**x wrt p?
-4080*p**3
Let s(k) = -2024*k**4 + 6*k**3 - 2302*k**2 - 2*k. Let i(l) = -3*l**4 - 2*l**3 + l. Let t(w) = -2*i(w) - s(w). Find the third derivative of t(g) wrt g.
48720*g - 12
What is the third derivative of -10*c + 1465*c**3 - 2*c**2 - 8*c - 454 - 11*c + 30*c + c wrt c?
8790
Suppose -2 - 30 = -4*a. Suppose 40 = 4*p - a. What is the second derivative of -8*r - 1 + 24*r + p*r**4 + 1 wrt r?
144*r**2
What is the second derivative of -2306*j**4 + 523*j + 1 + 2639*j**4 - 188*j wrt j?
3996*j**2
Let h = -501 + 550. Differentiate -h*a**3 + 39 - 3*a**3 - 20*a + 36*a - 15*a wrt a.
-156*a**2 + 1
Let m = 55 - 53. Find the third derivative of 8*a**5 + 3*a**4 - 51*a**2 - 7*a**2 + 10*a**m wrt a.
480*a**2 + 72*a
Let y(q) = q**2 + 2. Let b(o) = 209*o**2 - o - 5349. Let a(t) = -b(t) - 4*y(t). What is the first derivative of a(h) wrt h?
-426*h + 1
Let p(t) = -4*t - 82. Let z be p(-25). What is the second derivative of -686*g**3 + 689*g**3 + 2 - z*g**4 + 2*g**4 + 0 - 41*g wrt g?
-192*g**2 + 18*g
Let a(f) be the third derivative of 0*f**5 - 1/2*f**3 + 0*f**7 + 0 + 3*f**2 + 0*f**6 + 1/24*f**4 - 71/336*f**8 - 14*f. Find the second derivative of a(c) wrt c.
-1420*c**3
Let g = -110 + 114. Let y be 2/(-4) - -262*1/g. What is the second derivative of 135*x**3 - 28*x - 70*x**3 - 10*x**5 - y*x**3 wrt x?
-200*x**3
Find the third derivative of -1317*r**2 - 7594*r**3 - 979*r**2 + 6053*r**3 wrt r.
-9246
Let x(d) be the third derivative of -d**7/42 - 427*d**6/120 - 7*d**5/60 + 5*d**4/24 - 17*d**3/6 - 5*d**2 - 3*d + 73. What is the third derivative of x(b) wrt b?
-120*b - 2562
Let s = -94 - -116. Find the second derivative of 4 - 10 + 6 - 7*m**5 - s*m + 3*m**4 wrt m.
-140*m**3 + 36*m**2
Suppose p - 5 = -0*p, 0 = -4*f - 5*p + 33. Suppose f*h + 0 = 3*t - 1, 0 = -4*h + 5*t + 1. What is the third derivative of 3 - 1 + r**h - 2 - r**2 wrt r?