22408*m**3
Let z(s) be the third derivative of 4*s**7/105 + 24*s**5/5 + s**4/3 - 28*s**3 - 2094*s**2. Find the second derivative of z(u) wrt u.
96*u**2 + 576
Suppose -j + 6 = -0*j. Suppose 0 = p - j. What is the third derivative of -57 + 57 - p*a**2 + 12*a**4 wrt a?
288*a
Let o(v) be the second derivative of 35/2*v**3 - v - 5 + 3/10*v**5 + 0*v**2 + 0*v**4 + 0*v**6 - 1/42*v**7. What is the second derivative of o(a) wrt a?
-20*a**3 + 36*a
Let n(w) be the first derivative of -368*w**7/7 + w**4/2 + 2*w**3/3 - 535*w**2/2 + 270. Find the third derivative of n(p) wrt p.
-44160*p**3 + 12
Let u(q) be the second derivative of 669*q**4/4 - 929*q**2 + 109*q + 3. What is the first derivative of u(g) wrt g?
4014*g
Let a(d) = -1281*d**2 - 592*d. Let y(x) = 3844*x**2 + 1790*x. Let r(p) = 14*a(p) + 5*y(p). What is the second derivative of r(u) wrt u?
2572
Let p(l) = 801*l - 1338. Let i(t) = -3209*t + 5351. Let m(j) = 3*i(j) + 11*p(j). Find the first derivative of m(k) wrt k.
-816
Differentiate 12 + 586 + 11780*m - 3536*m + 290 wrt m.
8244
Let g(u) be the third derivative of 37*u**6/40 + 7*u**4/24 - 722*u**3/3 + 10*u**2 + 5*u - 20. What is the first derivative of g(k) wrt k?
333*k**2 + 7
Let x(d) = d. Let s be 96/42 - 4/14. Let v(b) = -b**2 + 7*b - 6. Let t(h) = s*v(h) - 6*x(h). What is the first derivative of t(r) wrt r?
-4*r + 8
Let s(p) be the third derivative of 41*p**6/120 + 2*p**5/15 + 9383*p**3/6 - 49*p**2 + 69*p. Find the first derivative of s(x) wrt x.
123*x**2 + 16*x
Let b(x) be the second derivative of 11*x**4/2 - 4*x**3/3 + 1893*x**2/2 + x + 2. What is the derivative of b(f) wrt f?
132*f - 8
Let l be (-1*(-2 - 4))/(-5 + 7). Let b(d) be the first derivative of 0*d + 16/3*d**l - 14*d**2 + 19. What is the second derivative of b(o) wrt o?
32
Let o(d) be the second derivative of 407*d**6/30 + 375*d**2/2 + 616*d. What is the first derivative of o(c) wrt c?
1628*c**3
Let i(q) = -20*q**4 + 0*q + 8 + 5*q + 7*q**2 + 3 - 3*q**2. Let h(s) = s**2 + s + 1. Let c(z) = 4*h(z) - i(z). What is the second derivative of c(g) wrt g?
240*g**2
What is the second derivative of 53*a + 420*a**4 + 408*a**4 - 34*a**4 + 457*a**4 wrt a?
15012*a**2
Suppose -8*f = -15*f + 11277. Find the second derivative of -2*x - f + 1591 - 138*x**5 - 12*x**5 wrt x.
-3000*x**3
What is the first derivative of -3791*l**2 + 686*l - 1389*l + 703*l + 5564 wrt l?
-7582*l
Differentiate -2173*p + 3 - 248 + 418 + 731 + 91 with respect to p.
-2173
Let s be (-22)/88 - 13/(-4). Find the second derivative of -82*l**3 - 80*l**3 + l - 5 + 152*l**s + 3*l**2 wrt l.
-60*l + 6
Let l(r) be the first derivative of 595*r**2/2 - 2211*r - 1771. Find the first derivative of l(j) wrt j.
595
Let v(i) be the third derivative of 0*i - 7/60*i**5 + 0 + 227/120*i**6 - 43*i**2 + 1/8*i**4 + 0*i**3. What is the third derivative of v(s) wrt s?
1362
Let k(j) be the first derivative of 319*j**5/5 - 27*j**2/2 - 9*j - 1921. What is the second derivative of k(r) wrt r?
3828*r**2
Let i(n) = -n**3 + 4*n**2 + 4*n + 15. Let c be i(4). Find the first derivative of -45 - 37 + 82*a - c*a + 18 wrt a.
51
Suppose -41 - 59 = -2*n. What is the second derivative of 2*d - n*d**3 - 6 - 5*d**2 + d - 2 + 2*d**2 wrt d?
-300*d - 6
Find the third derivative of 512*j**2 + 5 - 501*j**2 + 18*j**3 + 1343*j**3 wrt j.
8166
Let z = -10672 + 10672. Let b(k) be the first derivative of 3*k + 14/3*k**3 + z*k**2 + 22. Differentiate b(v) wrt v.
28*v
Suppose 7*b - 847 = -805. What is the second derivative of 145*k**3 - b*k + 26*k + 17*k + 59*k wrt k?
870*k
Find the third derivative of 121*c**6 - 16*c**6 + 5*c**2 - 3*c**2 - 41*c + 5 - 8*c**2 - 2 wrt c.
12600*c**3
Let t = -438 + 446. What is the second derivative of t - 1239*n + 11 - 50*n**3 + 1244*n wrt n?
-300*n
Let d(n) = -13168*n - 13792. Let i(v) = -17558*v - 18381. Let z(l) = 11*d(l) - 8*i(l). What is the first derivative of z(r) wrt r?
-4384
Suppose -4*d - 7 = -3*v - 0*v, v - d - 4 = 0. Let f be (-74)/(-9) - 2/v. Find the second derivative of -13*p + 194*p**3 - 194*p**3 + f*p**4 - p wrt p.
96*p**2
Let l(i) be the first derivative of -165*i**3 - 3698*i**2 + 4718. What is the second derivative of l(g) wrt g?
-990
What is the second derivative of 94*x**3 + 130 + 4*x - 45*x**3 - 51*x**3 - 4*x - 527*x**2 - 4*x wrt x?
-12*x - 1054
Let n(b) = -8*b + 1. Let f(l) = -230*l - 878. Let s(c) = -2*f(c) + 4*n(c). Differentiate s(r) with respect to r.
428
Let h = 47 + -17. Suppose -7*a + h = -5*a. Differentiate 25*i**4 + 100*i**2 - 100*i**2 + i**4 - a with respect to i.
104*i**3
Let l(k) = -127*k**4 - k**3 - 2*k**2 + 3*k + 1. Let b(m) = -m**3 - 2*m**2 + 3*m + 2. Let o(y) = 4*b(y) - 4*l(y). What is the derivative of o(x) wrt x?
2032*x**3
Let m(w) be the third derivative of -791*w**5/30 - 1193*w**4/8 + 142*w**2 + 30*w. What is the second derivative of m(j) wrt j?
-3164
Let c(w) = -6*w + 182. Let q be c(30). What is the third derivative of q - 161*i**4 - 1 + 3 - 6*i**2 - 4 wrt i?
-3864*i
Let r(a) be the third derivative of 0 + 0*a + 0*a**4 - 1/60*a**5 + 78*a**2 + 5/6*a**3 + 67/120*a**6. Find the third derivative of r(v) wrt v.
402
Let j be 1/((8/(-20))/(-2)*1). What is the second derivative of -259*q**2 - 1 + q - j - 3*q + 3*q + 0*q wrt q?
-518
Let o be (-60)/24*28/(-10). Suppose 2*r - 11 = -o. Find the second derivative of -7*z**2 - 7*z - 6*z**r - z**2 wrt z.
-28
Let m(v) be the first derivative of 19*v**6/3 - 19*v**4/2 - 71*v**3/3 + 10*v**2 + 1319. What is the third derivative of m(a) wrt a?
2280*a**2 - 228
Find the third derivative of -119 + 886*t**4 + 3*t + 1210*t**4 - 77*t**4 + t**2 - 3*t wrt t.
48456*t
Let n(d) be the third derivative of 217*d**4/6 - 747*d**3/2 + 41*d**2 + 5*d. What is the derivative of n(s) wrt s?
868
Suppose -10*t - 50 = -17*t - 18*t. Let d(v) be the second derivative of -7/6*v**3 - 8*v + 0 - 6*v**t. Differentiate d(r) with respect to r.
-7
Let i = -8894 + 22887. Find the third derivative of -8*q**2 - 188*q**4 + i*q**3 - 13993*q**3 wrt q.
-4512*q
Let q(t) be the second derivative of 19*t - 15/4*t**4 + 0*t**6 + 0*t**2 + 0*t**5 + 1 + 2/3*t**7 + 0*t**3. Find the third derivative of q(m) wrt m.
1680*m**2
Let b be 2/3 - (-76)/57. Find the third derivative of -x - b*x**5 - 4*x**2 + 36*x**6 + 3*x**2 + x + 22 wrt x.
4320*x**3 - 120*x**2
Let a(x) be the second derivative of -159*x**7/14 - 440*x**4/3 + 343*x. What is the third derivative of a(d) wrt d?
-28620*d**2
Let t(h) = -892*h**2 + 689*h + 6. Let f(u) = -7136*u**2 + 5512*u + 50. Let g(y) = 6*f(y) - 50*t(y). What is the second derivative of g(r) wrt r?
3568
What is the derivative of -488*q**4 - 19 + 7*q**2 - 136 + 2*q**2 - 9*q**2 wrt q?
-1952*q**3
Let u(w) = 665*w**3 + 751*w**2 - 3*w - 3. Let v(f) = -1332*f**3 - 1500*f**2 + 5*f + 5. Let a(z) = -5*u(z) - 3*v(z). Find the third derivative of a(h) wrt h.
4026
Let s be 2*((-20)/(-8) + -1). What is the second derivative of 19*g**5 + 3*g**3 + 109 - s*g**3 - g - 127 wrt g?
380*g**3
Find the third derivative of 5*k - 7490*k**3 + 7 + 8*k - 4955*k**3 - 33*k - 48 - 3*k**2 wrt k.
-74670
Let u(x) be the first derivative of 235 + 3/4*x**4 + 5/6*x**6 + 0*x + 0*x**5 + 0*x**2 + 250/3*x**3. What is the third derivative of u(h) wrt h?
300*h**2 + 18
What is the third derivative of -7941*z**5 - 3196*z**5 + 12125*z**2 - 392*z**5 + 344*z**2 wrt z?
-691740*z**2
What is the first derivative of 5*i**4 + 0*i**4 + 4722 - 18*i**4 - 12*i**4 - 17*i**4 + 2*i + 30*i**2 wrt i?
-168*i**3 + 60*i + 2
Let y(z) = -z**2 + 31*z - 17. Let q be y(30). Find the third derivative of 3 - 17*j**2 - 5062*j + 5062*j - q*j**6 wrt j.
-1560*j**3
Let h(t) = -73*t**3 + 21*t**2 - 8*t + 6304. Let j(s) = 48*s**3 - 15*s**2 + 5*s - 4203. Let i(l) = 5*h(l) + 8*j(l). Find the first derivative of i(z) wrt z.
57*z**2 - 30*z
Suppose -9*j + 0*j + 18 = 0. What is the first derivative of 3*r**j + 4*r**2 - 5*r**2 - 8*r - 121 + 127 wrt r?
4*r - 8
Let y = -113 - -137. Find the second derivative of -y*b - 84*b**2 - 21*b + 8*b + 148*b**2 - 119*b wrt b.
128
Let a = -22357/12 - -1864. Let d(r) be the third derivative of -a*r**4 - r**2 + 0*r - 10/3*r**3 + 0. Differentiate d(l) with respect to l.
-22
Let t(j) = 17*j**4 + 1365*j**3 - 29*j**2 + 43*j + 6. Let y(x) = 3*x**4 - x**3 + 3*x**2 + 1. Let r(d) = t(d) - 6*y(d). Find the third derivative of r(q) wrt q.
-24*q + 8226
Let b(i) be the