*r. Let y(d) be the second derivative of x(d). Find the second derivative of y(j) wrt j.
30*j
Let a(k) be the first derivative of -5/3*k**6 + 0*k**4 - 22 + 0*k**3 + 0*k**5 + 0*k + 4*k**2. What is the second derivative of a(q) wrt q?
-200*q**3
Differentiate -43 + 28 + 2*a - 33 - 5*a**2 with respect to a.
-10*a + 2
Let z(r) be the second derivative of 617*r**4/12 + 301*r**2 + 53*r. Find the first derivative of z(m) wrt m.
1234*m
Let c(k) = 1209*k + 207. Let y(o) = 121*o + 21. Let i(w) = 4*c(w) - 42*y(w). Differentiate i(n) with respect to n.
-246
Suppose -18 = -x - 5*i, -5*x + 10*x - 138 = -i. What is the second derivative of -x + 58*f + 45*f**2 + 28 wrt f?
90
Suppose -i + 4*i = -3*j + 30, 4*j = 5*i + 22. Find the third derivative of 3*x**2 + j*x**2 + 8*x**4 + 14*x**2 + 19*x**4 wrt x.
648*x
Let d(l) be the first derivative of -5*l**8/56 + 7*l**4/6 + 22*l + 17. Let c(o) be the first derivative of d(o). What is the third derivative of c(m) wrt m?
-600*m**3
What is the first derivative of -89*y + 21*y**3 + 67*y**3 - 87*y**3 - 169 wrt y?
3*y**2 - 89
What is the third derivative of 515*n**2 - 120*n**4 - 110*n**2 + 91*n**2 - 97*n**4 - 192*n**4 wrt n?
-9816*n
Let u(r) = r + 3. Let i be u(-10). Let a(n) = -n + 1. Let v be a(i). What is the third derivative of 5*p**4 - v*p**4 - 7*p**2 - p**4 wrt p?
-96*p
Let o(c) = -120*c + 23. Let t(v) = 119*v - 26. Let p(s) = -6*o(s) - 5*t(s). What is the first derivative of p(d) wrt d?
125
Let l(z) be the second derivative of -427*z**5/20 + 659*z**4/12 - z**2 - 7*z + 32. Find the third derivative of l(u) wrt u.
-2562
Let q = -71 - -73. What is the second derivative of -q + 33*f + 12*f**3 + 3 - 1 wrt f?
72*f
Suppose d - 2 = 4. What is the second derivative of 2*u - d*u - 31*u**2 + 20*u**2 + 16*u**2 wrt u?
10
Let o(m) be the second derivative of -3*m**5/20 + 11*m**3/3 - 210*m**2 + 289*m. What is the first derivative of o(w) wrt w?
-9*w**2 + 22
Suppose 5*k + 4 = 29. Suppose -3*f - 22 = -5*f - 5*p, -5*f + 55 = -k*p. Find the first derivative of 1 - 6 + f + 5*q**2 + 5 wrt q.
10*q
Let x(d) = 66*d**2 + 13*d - 6. Let j(w) = -65*w**2 - 15*w + 6. Let g(r) = 3*j(r) + 4*x(r). What is the second derivative of g(h) wrt h?
138
Find the first derivative of 11 - 314 - 75 + 243*m**2 + 54 wrt m.
486*m
What is the third derivative of -7*h**3 + 1297 - 33*h**2 - 1297 wrt h?
-42
What is the third derivative of -4*h**2 - 274*h**5 + 4*h**3 + 3*h**3 - 238*h**5 - 7*h**3 + 75 wrt h?
-30720*h**2
What is the third derivative of -f**2 + 107*f**6 - 54*f - 81*f + 173*f wrt f?
12840*f**3
Let u = 29 - 26. Find the third derivative of -9*f**2 - 2*f**5 + 2*f**3 - 7*f**u + 5*f**3 wrt f.
-120*f**2
Suppose w - 2*y - 8 = -3, -5*w + 4*y + 25 = 0. Let p(z) = z**3 - 5*z**2 + z - 3. Let g be p(w). Find the first derivative of -11 - 3*t - g*t - 3*t wrt t.
-8
Suppose -4*p - 12 = -60. Let a = -8 + p. Find the second derivative of -20*n**a + 31*n**4 - 20*n**4 + 11*n wrt n.
-108*n**2
Suppose d + x - 10 = 0, -2*d + 22 = -0*d + x. What is the second derivative of 4*t + 2*t - d*t**4 + 2*t**4 wrt t?
-120*t**2
Suppose 0*l = 2*l - 34. What is the first derivative of l*t + 11 + 17*t - 56*t wrt t?
-22
What is the third derivative of 2*z**6 - 18*z**3 + 18*z**3 - 62*z**2 + 191*z**2 - 127*z**5 wrt z?
240*z**3 - 7620*z**2
Find the third derivative of -5*q**5 + 4*q**5 - 170*q**2 - 4*q**3 + 99*q**2 wrt q.
-60*q**2 - 24
Let t(i) = 265*i**2 - 173. Let p(x) = 2*x**2. Let v(k) = 2*p(k) - t(k). What is the first derivative of v(j) wrt j?
-522*j
Let f(z) be the first derivative of 242*z**3/3 + 175*z - 181. Differentiate f(k) wrt k.
484*k
Let i(s) be the first derivative of -101*s**2 + 41*s - 82. What is the derivative of i(o) wrt o?
-202
What is the first derivative of 198 - 12 + 22164*x**4 - 21719*x**4 wrt x?
1780*x**3
Let t = 481 + -481. Let n(z) be the first derivative of 0*z**5 + 0*z + 0*z**2 + 8/3*z**3 + 3 + 7/6*z**6 + t*z**4. Find the third derivative of n(k) wrt k.
420*k**2
Let d(n) = 37*n**2 + 5*n + 2. Let x = -86 + 82. Let r(c) = 36*c**2 + 4*c + 2. Let q(w) = x*d(w) + 5*r(w). Differentiate q(y) with respect to y.
64*y
What is the third derivative of 42*z**4 + 2*z**2 + 64*z**3 - 64*z**3 wrt z?
1008*z
Suppose -4*r = 3*i + 6, i - 11 = 4*r - r. Let s(x) be the first derivative of 3*x - 1/2*x**i - 4. What is the derivative of s(u) wrt u?
-1
Let k(m) be the second derivative of -m**8/480 + m**7/630 + m**4 + m. Let y(d) be the third derivative of k(d). What is the third derivative of y(l) wrt l?
-84
What is the third derivative of 266*v**2 - 69*v**2 + 4*v**3 - 5*v**3 + 5*v**3 + 112*v**2 wrt v?
24
Let g(z) = 4*z - 12. Let o be g(10). Suppose -10 = -3*v + 2, -4*d = v - o. What is the second derivative of -2*s**5 - d*s**5 + 4*s**5 - 2*s wrt s?
-80*s**3
Let y(v) be the first derivative of -v**7/14 - 13*v**4/24 - 7*v**2 + 2. Let r(f) be the second derivative of y(f). What is the second derivative of r(b) wrt b?
-180*b**2
Let s(m) be the first derivative of -295*m**7/7 + 7*m**3/3 - 27*m**2/2 + 448. Find the third derivative of s(f) wrt f.
-35400*f**3
Suppose -6*j = -2*j - 16. Let x be 31/j - (-3)/12. Find the third derivative of -x*t - 2*t + 10*t - 2*t**2 + 6*t**5 wrt t.
360*t**2
Let t(q) = 8*q**2 + 17. Let s(i) = -25*i**2 - 50. Let l be (28/(-8) - -3)*34. Let a(j) = l*t(j) - 6*s(j). Differentiate a(p) wrt p.
28*p
Let x(i) = -4 + 26 + 49*i - 6*i - 7*i. Let d(v) = 72*v + 45. Let p(k) = 2*d(k) - 5*x(k). Differentiate p(z) with respect to z.
-36
Let l = 513 - 1087. Let f be (l/35)/((-2)/10). Find the second derivative of -19*q**3 + 8*q**3 - 74*q + f*q wrt q.
-66*q
Let k(y) = -y**2 + 4*y + 1. Let z be k(5). Let o be 2/z - (-21)/6. What is the first derivative of -5*c**2 + 0*c**3 - c**o + 5*c**2 + 5 wrt c?
-3*c**2
Let c(x) be the third derivative of -x**9/504 - 2*x**7/35 - x**5/3 - x**3/2 + 43*x**2. What is the third derivative of c(y) wrt y?
-120*y**3 - 288*y
Let t(z) be the second derivative of 13*z**7/42 + z**4/6 - z**3/2 + 3*z**2/2 + 96*z. Find the second derivative of t(x) wrt x.
260*x**3 + 4
Let t(n) be the second derivative of -n**6/15 - 187*n**4/6 + 2*n**3 - 12*n**2 + 396*n + 1. What is the second derivative of t(k) wrt k?
-24*k**2 - 748
Find the second derivative of -150*i - 149*i + 81*i + 2*i**3 + 53*i**5 wrt i.
1060*i**3 + 12*i
Let y be (-4 - -2)/((-4)/(-2)). Let q = 3 + y. What is the third derivative of -12*i**5 + 7*i**5 + 9*i**5 - 9*i**q wrt i?
240*i**2
Let u be 4/3 - (-5)/(-15). Suppose 13 - 1 = 3*z. What is the first derivative of u - 6 + 2*g**4 - 4*g**4 + 0*g**z wrt g?
-8*g**3
What is the derivative of -3*v**2 + 2572 - 8*v**4 + v**2 - 2585 wrt v?
-32*v**3 - 4*v
Let d(v) = v**2 - 3*v - 16. Let g be d(-3). Find the third derivative of -6*l**2 + 0*l**2 - 6*l**g - 29*l**6 - 7*l**2 wrt l.
-3480*l**3
Let y(z) be the first derivative of -13*z**6/2 - 309*z**2/2 + 362. What is the second derivative of y(h) wrt h?
-780*h**3
Let c = 21 - 20. Let r(b) = b - 1. Let k(j) = -11*j - 16. Let n(v) = c*k(v) - 6*r(v). What is the first derivative of n(q) wrt q?
-17
Let f(s) be the first derivative of 38*s**5/5 + s**2/2 - 42*s + 49. Find the first derivative of f(v) wrt v.
152*v**3 + 1
Let r = 31 - 26. Suppose -3*x = -4*a - 18, 5*x + 2*a - r + 1 = 0. Differentiate 2 + 2*u**2 - 9*u**x + 7 with respect to u.
-14*u
Let u(f) be the first derivative of 2*f**7/7 + 59*f**6/6 + 4*f**3/3 + 16*f**2 - 9. Find the third derivative of u(a) wrt a.
240*a**3 + 3540*a**2
Let y(m) = -m**3 - 2*m**2 - 4. Suppose 6 = 2*n - 4*n. Let o be y(n). Find the second derivative of -71*f**4 + 3*f**o + 71*f**4 + f wrt f.
60*f**3
Let w(j) be the third derivative of -57*j**5/20 - 35*j**3/6 + 187*j**2. Differentiate w(f) with respect to f.
-342*f
Let g be (92/5)/((-24)/(-60)). Find the first derivative of 21*i - g*i - 6 + 2 + 23*i wrt i.
-2
Let u(g) be the second derivative of -27*g - 4/5*g**6 + 0*g**3 + 0 + 0*g**5 - 7/6*g**4 + 0*g**2. What is the third derivative of u(s) wrt s?
-576*s
Suppose 4*m - 8 = -0*m. Suppose -7 - m = -3*w. What is the third derivative of -3*h**3 + 14*h**2 + 8*h**5 + w*h**3 - 11*h**2 wrt h?
480*h**2
Find the first derivative of 5*s**2 - 2047 + 128*s**4 - 5*s**2 + 1835 wrt s.
512*s**3
Let s = 3 - -1. Let v = -2 + s. Differentiate 1 + 6*g**4 + 87*g**v - 87*g**2 wrt g.
24*g**3
Suppose -a - 19 - 8 = 0. Let m