-7/60*r**6 + 289/24*r**4 - 331*r + 0 + 0*r**5 - r**2 + 1/105*r**7 + 0*r**3. Find the second derivative of h(f) wrt f.
24*f**2 - 84*f
Let z(p) be the first derivative of 3*p**5/5 + 2564*p**2 - 14058*p - 2486. Differentiate z(i) with respect to i.
12*i**3 + 5128
Let k(m) = -400*m**3 - 4649*m + 1. Let u(a) = -6*a + 1. Let n(w) = k(w) - u(w). Find the second derivative of n(v) wrt v.
-2400*v
Find the second derivative of 18102*b**2 - 19 - 19428*b**2 - 19 + 10 - 4*b wrt b.
-2652
Let t(h) = 298*h**2 - h - 22. Let z(u) = u**2 - 2*u + 4. Let n(b) = -t(b) + z(b). What is the second derivative of n(m) wrt m?
-594
Suppose 0 = -j + 9*j - 840. Let m be (-6)/33 - j/(-33). Find the first derivative of 4*v + 2*v + m*v - 17 + 5*v wrt v.
14
Let s = -1038 - -1048. Let y(w) be the second derivative of -1/4*w**5 + 0*w**2 - 5/4*w**4 + 0*w**3 + 0 + s*w. Find the third derivative of y(h) wrt h.
-30
Let z(x) = 176*x**3 - 18*x**2. Let r(b) = 175*b**3 - 17*b**2. Suppose 0 = 16*u - 62 - 2. Let i(p) = u*r(p) - 5*z(p). What is the third derivative of i(t) wrt t?
-1080
Let o(s) = -172*s**5 - 12*s**3 + 2170*s - 32. Let t(q) = 57*q**5 + 4*q**3 - 724*q + 12. Let h(a) = -3*o(a) - 8*t(a). Find the second derivative of h(w) wrt w.
1200*w**3 + 24*w
Let l(o) = -79*o**4 + 11*o - 2. Let t(w) = -159*w**4 - 331*w + 354*w - w**3 - 5 + w**3. Let j(n) = 13*l(n) - 6*t(n). Find the second derivative of j(i) wrt i.
-876*i**2
Let l(u) = -48442*u**2 + 13172*u. Let m(c) = -6055*c**2 + 1647*c. Let k(s) = 6*l(s) - 47*m(s). Find the second derivative of k(q) wrt q.
-12134
Let s(r) = r**2 - 2*r + 5. Let n be s(-5). Let x be 70/n + 3/12. Differentiate 721*y**2 - 34 - 30*y**4 - 721*y**x with respect to y.
-120*y**3
Let u = -255 - -295. Find the third derivative of -4*c**5 + 55*c**2 + u*c**4 - 44*c**4 - 13*c**2 wrt c.
-240*c**2 - 96*c
Let b(h) be the third derivative of 61*h**8/112 + h**6/24 - 9*h**4/8 - 5*h**3/3 + 3*h**2 + 243*h. Find the second derivative of b(v) wrt v.
3660*v**3 + 30*v
Let r(z) be the third derivative of 38*z**7/105 + z**6/30 + z**5/20 - 805*z**4/12 + 1623*z**2. Find the second derivative of r(i) wrt i.
912*i**2 + 24*i + 6
Let p(v) be the first derivative of -993*v**4/4 - 149*v + 917. What is the derivative of p(i) wrt i?
-2979*i**2
Differentiate -25969*x - 25794*x + 66412*x - 24055*x + 11545 with respect to x.
-9406
Let a = -1019 + 1025. Let p(o) = 21*o + 5. Let z(g) = -7*g - 2. Let r = -2 + 19. Let y(d) = a*p(d) + r*z(d). Differentiate y(m) wrt m.
7
Suppose 331*z = 468*z. Let g(x) be the third derivative of 9*x**2 - x**3 + 0 + z*x - 11/12*x**4. Find the first derivative of g(p) wrt p.
-22
Let l(n) be the first derivative of -2*n**5/5 - 37*n**4/4 - 32*n**3/3 + 4*n**2 + 18*n - 336. Find the second derivative of l(c) wrt c.
-24*c**2 - 222*c - 64
Let l(w) be the third derivative of 0*w + 1/120*w**6 + 1/12*w**4 + 0*w**5 - 6*w**2 + 11/6*w**3 - 5. Differentiate l(m) wrt m.
3*m**2 + 2
Suppose 232 = c + 3*c. Let z be (-5)/((-30)/c) - 4/6. Differentiate 13 - 9*a + 2*a**3 - 4 + z*a wrt a.
6*a**2
Let o(n) be the second derivative of 377*n**5/2 + n**4/6 + 38*n**3/3 - 1360*n. What is the third derivative of o(m) wrt m?
22620
Let h(n) be the first derivative of -3927*n**5/5 + 1673*n**3/3 - 3690. What is the third derivative of h(u) wrt u?
-94248*u
Let q = 109 - 102. What is the third derivative of 43*c**2 - 57*c**3 - 11*c**4 + q*c + 57*c**3 - 39*c**2 wrt c?
-264*c
Suppose w - 155 = -153. Find the first derivative of -406*m**w + 10*m**4 + 171 - 98*m**4 + 404*m**2 wrt m.
-352*m**3 - 4*m
Let k(m) = 11*m**4 + m**3 + 56*m + 1. Let s(j) = 353*j**3 + 1 + 0 - 352*j**3 + 0. Let c(p) = -k(p) + s(p). Find the second derivative of c(r) wrt r.
-132*r**2
What is the third derivative of 10642*g**3 + 66*g**2 - 10642*g**3 + 22 + 413*g**5 + 3*g**6 - 22 wrt g?
360*g**3 + 24780*g**2
Let h(f) be the third derivative of -1213*f**5/60 + f**4/12 - 239*f**3/3 - 8865*f**2. What is the second derivative of h(d) wrt d?
-2426
Suppose 6*j + 85 = 91. Let a(n) = n**2 + n. Let c(w) = 45*w**2 + 119*w - 2. Let y(r) = j*c(r) - 6*a(r). What is the second derivative of y(l) wrt l?
78
Let c(t) = -3*t + 206. Let z be c(31). What is the derivative of -293 + 222 - z*x + 232 wrt x?
-113
Let b(a) = -8*a**2 + 2*a - 3. Let r(t) = 1053*t**2 - 4*t - 5417. Let v(w) = 2*b(w) + r(w). Differentiate v(s) wrt s.
2074*s
What is the third derivative of 1 - 132*q**2 + 69*q**2 + 0 + 66*q**2 + 1031*q**4 + 5 wrt q?
24744*q
What is the second derivative of 22*r**5 - 18*r - 237416*r**4 + 118707*r**4 + 118706*r**4 wrt r?
440*r**3 - 36*r**2
Suppose x - 88 = m, -9*m + 6*m = -x + 92. What is the second derivative of -x*z + 11*z**3 + 5*z**4 + 2 - 2*z**4 + 61*z wrt z?
36*z**2 + 66*z
Let c(q) be the first derivative of 2775*q**4/2 + 3405*q - 5531. What is the derivative of c(r) wrt r?
16650*r**2
Let u(s) be the third derivative of -s**7/42 + 179*s**4/24 + 191*s**3/2 + 3*s**2 + 972*s. What is the first derivative of u(d) wrt d?
-20*d**3 + 179
Suppose 7*s - 4 = 5*s. What is the second derivative of -39 - 73*o**s + 8 + 15 - 3*o wrt o?
-146
Let t(g) be the second derivative of -109*g**7/14 + 3*g**5/20 - 71*g**4/2 - 8*g - 5. Find the third derivative of t(b) wrt b.
-19620*b**2 + 18
Let t(a) = -a**2 + 2*a + 11. Let s be t(4). What is the second derivative of s - 3 - 11*l - 22*l**2 + 0 wrt l?
-44
Suppose 0 = -5*l - 10. Let b be -7*l/28*2*6. Differentiate -6*m + 16*m**4 + b*m + 2 wrt m.
64*m**3
Let p(w) be the first derivative of -3*w**5/4 + 13*w**4/12 + 86*w**3/3 - 41. Let m(v) be the third derivative of p(v). Find the first derivative of m(j) wrt j.
-90
Let b = 535 - 537. Let i(z) = 11*z**2 - 14*z - 243. Let v(y) = y**2 - 2*y - 2. Let x(g) = b*v(g) + i(g). Differentiate x(t) wrt t.
18*t - 10
Let u = -71 + 73. Differentiate u*v**3 + 6*v**2 + 3*v**2 + 38 + 14*v**2 - 4*v**2 with respect to v.
6*v**2 + 38*v
Let x(s) be the second derivative of -s**6/30 - 763*s**4/4 + 293*s**3/3 - 3*s**2/2 - 1324*s. What is the second derivative of x(v) wrt v?
-12*v**2 - 4578
Let r(k) = 77*k**2 + 278*k - 587. Let b(u) = -40*u + 2. Let z(f) = -28*b(f) - 4*r(f). Differentiate z(w) wrt w.
-616*w + 8
Let r(u) = -17*u - 1. Let l(y) = -31*y - 2. Let d(n) = -6*l(n) + 11*r(n). Let b(q) = q - 24. Let p(z) = b(z) - d(z). Find the first derivative of p(c) wrt c.
2
Differentiate 16*m**2 - 32*m**2 - 5*m**2 + 2160 - 6*m - 972 with respect to m.
-42*m - 6
Let w(k) be the second derivative of -13*k**4/12 + 17*k**3/3 + 569*k**2 - 30*k + 5. What is the derivative of w(u) wrt u?
-26*u + 34
Suppose 5*s - 16 = 4. Let u be s/6 - 25/(-3). What is the second derivative of -u*i**2 + 0*i**2 + 3*i - 4*i + 0*i**2 wrt i?
-18
Let q(w) = 2*w**2 - w + 4. Let o be q(2). Suppose -o - 8 = -6*p. Differentiate 4*g**p + 710*g + 10 + 3*g**3 - 710*g wrt g.
21*g**2
Let p be (-1 + -3)*-2 + 6 + -5. What is the third derivative of 8*z**2 + 0*z**3 - 8*z + 41*z**3 - p*z**2 - 2*z**3 wrt z?
234
Let i(u) be the first derivative of -54 + 60*u + 0*u**2 + 0*u**3 + 35/4*u**4. Differentiate i(m) wrt m.
105*m**2
Let s(t) = -218*t**3 - 4*t**2 - 3*t - 5847. Let b(c) = 658*c**3 + 13*c**2 + 10*c + 17541. Let r(h) = 4*b(h) + 13*s(h). Find the first derivative of r(u) wrt u.
-606*u**2 + 1
Let t(s) = 30*s**2 - 2*s - 5. Let o(i) = -43*i + 46*i + 4 - 23*i**2 - 7*i**2. Let z(f) = 6*o(f) + 5*t(f). What is the second derivative of z(d) wrt d?
-60
Let y(q) = -q**3 + 12*q**2 - 11*q - 5. Let g be y(10). Let d = g - -37. Find the third derivative of -d + 19*z**3 + 122 - 10*z**2 wrt z.
114
Suppose -3*c + 2*r = -42, 2*c + 8*r - 5*r = 41. Find the first derivative of 41*m**3 + 133*m**2 - 133*m**2 + 19*m**3 + c wrt m.
180*m**2
Let z(w) be the second derivative of 9 - w**3 + 9/5*w**5 + 3/2*w**2 - 5*w - 1/6*w**4. What is the second derivative of z(c) wrt c?
216*c - 4
Suppose 20 = 9*k - 14*k. Let y be ((-5)/2)/(2/k). Find the second derivative of 4*f - 20*f**2 - y*f**4 - 17*f**2 + 37*f**2 wrt f.
-60*f**2
Find the first derivative of 2550*w + 586 - 1871*w + 5709*w + 1812*w - 2749 wrt w.
8200
Let j(w) = 5*w - 75. Let x be j(37). What is the second derivative of -4*h + 4*h - h - 45*h**2 + 2*h - x*h**2 + 100 wrt h?
-310
Let v(n) = -1618*n**3 - n**2 + 32*n + 33. Let x(j) = -2*j**3 + j**2 - j + 11. Let w(g) = -v(g) + 3*x(g). What is the third derivative of w(l) wrt l