636*z. Find the second derivative of s(c) wrt c.
360*c**3 + 122
Let n(v) = -11575*v**2 - 919*v + 4. Let i(l) = 11580*l**2 + 917*l - 3. Let f(c) = 5*i(c) + 4*n(c). Find the second derivative of f(z) wrt z.
23200
Suppose -4*s + 0*s - 2 = -2*i, i = -5*s + 36. What is the third derivative of -8*v**2 + i*v**2 + 134*v**6 + 9*v**2 - 168*v**6 wrt v?
-4080*v**3
Let h(k) be the second derivative of -829*k**5/5 - k**4/4 + 98*k**3/3 - 3021*k. Find the third derivative of h(i) wrt i.
-19896
What is the third derivative of -1597*r**3 + 3217*r + 158*r - 306*r**2 + 305*r**2 - 335*r**3 + 13936*r**3 wrt r?
72024
Let j(i) be the first derivative of -32*i**2 - 218*i + 398. Differentiate j(d) wrt d.
-64
Let m(a) be the first derivative of 213/4*a**4 + 1/3*a**3 + 21*a**2 - 207 + 0*a. Find the third derivative of m(u) wrt u.
1278
Let a(x) be the third derivative of -47*x**5/10 - 5*x**4/24 + 19*x**3/6 + x**2 - 266*x. Find the second derivative of a(m) wrt m.
-564
Let l(h) = -2155*h + 4936. Let p(b) = 539*b - 1235. Let c(d) = -4*l(d) - 15*p(d). Find the first derivative of c(n) wrt n.
535
Suppose -2*b = -4*l - 4, 0 = -7*b + 2*b - 4*l + 10. What is the first derivative of 527 + 6*g**2 + 5*g**b - 530 wrt g?
22*g
Let o(t) be the second derivative of -48*t + 58/3*t**3 + 0 + 0*t**4 + 0*t**2 + 0*t**5 - 113/42*t**7 + 0*t**6. Find the second derivative of o(v) wrt v.
-2260*v**3
Let n = 293 - 288. Let h(z) = 93*z**3 + 153*z**2. Let q(j) = 46*j**3 + 77*j**2. Let u(g) = n*q(g) - 2*h(g). What is the third derivative of u(s) wrt s?
264
Suppose -2*h + 11 - 11 = 0. Let n(z) be the second derivative of h*z**3 + 7/6*z**4 + 2*z**2 + 0 - 16*z. Differentiate n(s) with respect to s.
28*s
Let r = -333 + 343. What is the third derivative of 69*j**2 + r - 27 + 17 - 85*j**5 wrt j?
-5100*j**2
Let a(r) be the first derivative of -4929*r**5/5 - 5311*r**2 - 8849. Find the second derivative of a(v) wrt v.
-59148*v**2
Suppose 3*h - 11*c = -12*c + 309, -3*c = 5*h - 515. What is the second derivative of -14*i - 9*i - 19*i**3 - 7*i + 29*i - h wrt i?
-114*i
Let a(x) be the second derivative of -73*x**7/42 + x**6/6 + 9869*x**4/12 + x - 1493. Find the third derivative of a(j) wrt j.
-4380*j**2 + 120*j
Let h(c) = -c**3 - 15*c**2 + 15*c - 14. Let u be h(-16). Let d be u/(-13) + (-145)/(-13). Differentiate -2*k**2 + 16 + 4*k**2 + d*k**2 with respect to k.
26*k
Suppose 69*g - 73*g + 612 = 0. What is the third derivative of -127*b**4 + 50*b**2 - g*b**5 + 151*b**5 + 227*b**2 wrt b?
-120*b**2 - 3048*b
Let u = -8 - -13. Suppose 4*k - u*g + 2*g = 112, -k + 15 = -4*g. What is the second derivative of -k*w**3 + 21*w + 12*w**3 + 7*w + 55*w**3 wrt w?
216*w
Suppose 6 + 2 = -4*c, -3*c + 9 = 5*z. What is the second derivative of 4*i**4 + 103*i - 26*i**z + 8*i - 25*i**3 + 50*i**3 wrt i?
48*i**2 - 6*i
Let s(z) = -1273*z**3 + 10*z**2 - 1269*z. Let g(x) = 636*x**3 - 6*x**2 + 635*x. Let y(c) = 5*g(c) + 3*s(c). What is the second derivative of y(o) wrt o?
-3834*o
Let j = 16 + 24. Let l be 21*(j/(-15))/(-4). Find the second derivative of 5*r**2 - 5*r + 5*r + l*r - 6*r wrt r.
10
Let g = 19067 - 19064. Let m(j) be the first derivative of 0*j**2 + 37 + 0*j - 11/2*j**4 + 4/3*j**g. Find the third derivative of m(q) wrt q.
-132
Suppose 0 = -9*x + 1619 - 359. What is the third derivative of -4*s**6 + s + x*s**2 + s**4 - 165*s**2 - 2*s**4 wrt s?
-480*s**3 - 24*s
Let w(v) be the second derivative of 3*v**7/14 - v**5/20 + v**4/4 + 5*v**3/3 - 59*v**2/2 + 50*v + 49. What is the third derivative of w(d) wrt d?
540*d**2 - 6
Suppose -3*w - 2*w + 554 = -2*d, d = 5*w - 552. What is the second derivative of w - 9*l - 26 - 238*l**4 + 8*l wrt l?
-2856*l**2
Let l(q) be the third derivative of -237*q**6/8 + 511*q**3/6 + 34*q**2 - 7*q + 5. Differentiate l(s) wrt s.
-10665*s**2
What is the second derivative of 77*i - 145392*i**4 - 147626*i**4 + 21 + 299125*i**4 wrt i?
73284*i**2
Let g(c) = -76*c**4 - c**3 + c**2 - c + 12. Suppose 24*x = 19*x + 5. Let p(w) = w**4 - w**3 + w**2 - w - 1. Let q(s) = x*p(s) - g(s). Differentiate q(b) wrt b.
308*b**3
What is the second derivative of 3711*l**2 - 3*l + 851*l + 5317*l**2 - 3008*l**2 + 223*l wrt l?
12040
Let m(a) be the third derivative of -a**8/56 + 8*a**7/35 + a**6/40 - 7*a**4/8 - 5*a**3/3 - 6333*a**2. What is the second derivative of m(p) wrt p?
-120*p**3 + 576*p**2 + 18*p
Let a(v) = 41*v**3 + 153*v. Let u = 392 + -402. Let o(j) = -122*j**3 - 462*j. Let s(l) = u*a(l) - 3*o(l). Find the second derivative of s(n) wrt n.
-264*n
Differentiate 285 + 178*f**3 - 832*f**3 + 20*f**3 wrt f.
-1902*f**2
Let g(z) = 1129*z + 2789. Let p(m) = 2257*m + 5573. Let v(x) = -9*g(x) + 4*p(x). Differentiate v(j) with respect to j.
-1133
Suppose 2*y = 14*y + 37*y - 196. Let u(r) be the second derivative of 7/6*r**3 - 36*r + 0 + 0*r**2 - 9/4*r**y. Find the second derivative of u(f) wrt f.
-54
Let i(a) = 2*a**3 - a**2. Let o(w) = -29*w**3 - 5*w**2 - 2*w + 14. Let z be (37/74)/(2/4). Let q(l) = z*o(l) - 5*i(l). Find the second derivative of q(j) wrt j.
-234*j
Let b(x) = 3*x**2 - x**2 - 4*x**2 - 19. Let j(c) = -3*c**2 - 39. Suppose 0 = -18*r - 6 + 96. Let h(d) = r*b(d) - 2*j(d). Differentiate h(l) wrt l.
-8*l
Let u(c) be the second derivative of -1823*c**5/20 - 1255*c**3/6 + 3624*c. Find the second derivative of u(h) wrt h.
-10938*h
Let j(w) be the second derivative of 1059*w**6/5 - 401*w**3/6 + w - 186. Find the second derivative of j(i) wrt i.
76248*i**2
Let b(x) be the third derivative of 173*x**5/12 - 11*x**4/6 - x**3/3 + 292*x**2. What is the second derivative of b(a) wrt a?
1730
Let m(z) be the third derivative of 2/3*z**4 + 0*z + 0*z**6 + 0*z**3 - 43/336*z**8 + 0*z**7 + 0 + 0*z**5 - 10*z**2. What is the second derivative of m(p) wrt p?
-860*p**3
Let l(t) = 2*t**3 - 2*t**2 - 1. Let z(n) = 51*n**3 - 8*n**2 + 10*n + 17. Let b(p) = 2*l(p) - z(p). What is the second derivative of b(v) wrt v?
-282*v + 8
Let c(s) = -36339*s**2 + 30032*s + 448. Let b(x) = 24226*x**2 - 20021*x - 320. Let u(d) = -7*b(d) - 5*c(d). What is the second derivative of u(i) wrt i?
24226
What is the third derivative of -2*w**4 - 395*w**5 - 331*w - 2112 - 718*w**5 + 2*w**3 + w**2 + 2114 wrt w?
-66780*w**2 - 48*w + 12
Let v(t) be the first derivative of -1741*t**4/4 - t**2 + 54*t - 481. What is the second derivative of v(i) wrt i?
-10446*i
Let x(d) be the third derivative of -d**8/336 + 19*d**6/24 - d**5/60 - d**4/12 - 19*d**3/6 - 1006*d**2 - 4*d. What is the third derivative of x(p) wrt p?
-60*p**2 + 570
Let r(p) = 7537*p**4 + 664*p**2 + 14*p + 9. Let z(n) = 1884*n**4 + 166*n**2 + 3*n + 2. Let d(b) = -3*r(b) + 13*z(b). Find the third derivative of d(t) wrt t.
45144*t
Let q(g) be the second derivative of -397*g**4/3 + g**3/2 + 263*g**2/2 - 2*g + 205. Find the second derivative of q(h) wrt h.
-3176
Let n(q) be the third derivative of q**6/40 - 4*q**5/15 + q**4/24 + 1045*q**3/2 + 7132*q**2. Find the first derivative of n(s) wrt s.
9*s**2 - 32*s + 1
Let v(p) = -2686*p**4 - 2920*p**2 + 18*p. Let m(q) = -2685*q**4 - 2921*q**2 + 27*q. Let k(o) = -2*m(o) + 3*v(o). What is the third derivative of k(t) wrt t?
-64512*t
Suppose 5*u - 20 = 4*u. Suppose 0 = -111*w + 105*w + 60. Find the second derivative of 15*s - w*s**2 + 10*s**2 + u*s**4 - 3*s wrt s.
240*s**2
Let j(w) = 19*w**2 - 79*w - 2096. Let x(d) = d**2 - 49. Let l(p) = j(p) - 4*x(p). What is the first derivative of l(m) wrt m?
30*m - 79
Let h(a) be the third derivative of a**7/30 + a**5/60 + 11*a**4 + 377*a**3/3 - 30*a**2 - 109*a. What is the first derivative of h(k) wrt k?
28*k**3 + 2*k + 264
Differentiate 28720*d**4 + 388 + 5*d**2 - 27796*d**4 - 5*d**2 wrt d.
3696*d**3
Let n(k) be the second derivative of -k**7/21 + k**6/15 + 583*k**5/20 - 2179*k**4/12 - k**3/3 - 110*k - 19. What is the third derivative of n(q) wrt q?
-120*q**2 + 48*q + 3498
Let y be (-3 - -24) + (-2 - -10). Let o(m) = m**2 - m + 2. Let c be o(0). Find the third derivative of -20*n**6 - 3*n**c + y*n**6 + 2*n**2 + 12*n**6 wrt n.
2520*n**3
Differentiate -1925 - 964 + 261 + 2607*b - 293 wrt b.
2607
Let p(c) = -c**3 - 132*c**2 + 1888*c + 24. Let h(d) = 3*d**3 + 394*d**2 - 5664*d - 68. Let r(n) = -6*h(n) - 17*p(n). Find the second derivative of r(z) wrt z.
-6*z - 240
Let d be 356/(-6)*5*(-30)/100. Differentiate 21 + 3*x**3 + 5 + d*x - 120*x with resp