38*d
Let z(c) = c**2 + c. Suppose 6*p - 91 = -p. Let l(m) = -p*m + 5*m + 0*m + 31*m**2 + 3*m. Let b(h) = -l(h) + 6*z(h). Find the second derivative of b(r) wrt r.
-50
Suppose 26 + 2 = 7*s. Suppose z = s*y + 121, -2*z = -y - 98 - 137. Find the second derivative of -z*h**2 - 19*h - 25*h + 75*h**2 wrt h.
-84
Let u(m) be the third derivative of -1249*m**4/24 - 1691*m**3/6 - 735*m**2. Differentiate u(v) wrt v.
-1249
Let u(l) = -7*l**3 - 163*l**2 - 9910*l + 1. Let s(y) = y**3 + 6*y**2 - y. Let q(c) = 2*s(c) + u(c). What is the second derivative of q(t) wrt t?
-30*t - 302
Let d = -138 + 171. Let p be (-78)/(-2) + (-2)/2 + 4. What is the second derivative of d*n - p*n**4 - 59*n**4 + 71*n**4 wrt n?
-360*n**2
Suppose 19*j = 33*j - 28. Find the third derivative of 3*t**2 - 3*t**j - t**2 + 185*t**5 + 175 + 60*t**5 wrt t.
14700*t**2
Suppose -60 = -76*d + 66*d. What is the third derivative of d*t**2 - 2*t**2 - 3*t**3 + 3*t**2 - 8*t**2 wrt t?
-18
Let h(x) be the first derivative of 12*x**5/5 - x**4/4 - 23*x**3 - 3817*x + 3622. What is the derivative of h(y) wrt y?
48*y**3 - 3*y**2 - 138*y
What is the first derivative of -493 - 11 - 2960*k**2 + 1349 - 413 wrt k?
-5920*k
What is the third derivative of -90*o**3 - 1390*o**2 - 44*o - 43*o + 89*o - 1655*o**3 wrt o?
-10470
Let n be (-4)/(-2) + (2 - 1). Let t = 9962 - 9927. Find the first derivative of -17*l**3 - 9 + 1 - 9 + t*l**n wrt l.
54*l**2
Let y(k) = -k**3 - 2*k**2 - k + 2. Let h be y(-4). Let p = h + -28. Find the second derivative of 20*l - 14*l - 8*l**4 - p*l - 4*l**4 wrt l.
-144*l**2
Let c(f) be the second derivative of 82*f**4 - 2305*f**2/2 + 485*f - 3. What is the derivative of c(n) wrt n?
1968*n
Suppose -5*o + 129 = -366. Find the second derivative of -2 - 9*c**5 - 3 - 14*c - o*c**5 - 25*c**5 wrt c.
-2660*c**3
What is the second derivative of 338*y**2 - 198*y + 246*y + 1190*y + 333*y**2 + 839*y**2 wrt y?
3020
Let k = 23 + -35. Let o(y) = y. Let f(j) = -14*j - 32. Suppose -13*h - 136 = 123*h. Let a(r) = h*f(r) + k*o(r). Differentiate a(c) wrt c.
2
Let t(k) = k**3 - 6*k**2 - 5*k - 10. Let g be t(7). Suppose -6*m + 20 = g*m. Differentiate 39*r - 22*r + m*r**4 - 1 - 17*r wrt r.
8*r**3
Find the first derivative of 379*p - 72 + 101 - 266 wrt p.
379
Let a(s) be the second derivative of 11471*s**3/6 - 11857*s**2/2 + 515*s - 4. Differentiate a(n) with respect to n.
11471
Suppose -7*u - 289 = -310. What is the third derivative of 1059*a**2 - 1058*a**2 - 8 + 16*a**3 - 24*a**u - 20*a**3 - a**4 wrt a?
-24*a - 168
Let v(k) = k**2 + 1. Let w(t) = -2*t**3 + 14*t**2 - 43. Let m = 178 - 177. Let r(j) = m*w(j) + 2*v(j). What is the derivative of r(b) wrt b?
-6*b**2 + 32*b
Find the second derivative of -187 - 211 - 109 + 165 - 126 - 2085*v**2 + 3*v wrt v.
-4170
Suppose -2*c = -39 + 35. Find the second derivative of 68*z - 7*z**c + 4*z**2 + 22*z**5 - 4*z wrt z.
440*z**3 - 6
Let r(w) = -2*w**3 + 3026*w**2 + w - 4898. Let v(d) = -d**3 + 1513*d**2 - 2443. Let j(z) = 3*r(z) - 7*v(z). Find the second derivative of j(n) wrt n.
6*n - 3026
Let b(r) be the third derivative of 1/84*r**8 + 1/24*r**4 + 0*r**5 + 0 + 0*r**6 - 7*r**3 + 0*r + 0*r**7 + 200*r**2. What is the second derivative of b(f) wrt f?
80*f**3
Let w(j) be the third derivative of -331*j**6/60 - 77*j**4/24 + 7*j**3/6 + 1855*j**2. What is the second derivative of w(h) wrt h?
-3972*h
Let k(z) = 4*z**2 + 221*z - 392. Let i(j) = -j**2 + 262 + 3*j**2 - 4*j**2 + 6*j**2 - 7*j**2 - 147*j. Let d(x) = -7*i(x) - 5*k(x). Differentiate d(p) wrt p.
2*p - 76
Suppose -5*c = -3*c, 4*a + 2*c = 16. Suppose -a*z = x - 21, 3*z + 5*x = -0*z + 37. Find the second derivative of -6*k**4 - 11*k**z + 23*k + 0*k**4 wrt k.
-204*k**2
Let h = 3725 - 3720. Let m(i) be the third derivative of 7/60*i**h + 0*i + 0 - 1/6*i**4 + 0*i**3 + 14*i**2. Find the second derivative of m(c) wrt c.
14
Let t be (-4)/3*342/(-24). Let w(v) = -v**3 + 19*v**2 + 4*v + 39. Let u be w(t). Find the third derivative of -15*z**2 + 123*z**3 - 7*z**2 - u*z**3 wrt z.
48
Let c(p) be the third derivative of p**6/120 + 2729*p**5/30 - 2681*p**4/12 - 3*p**2 - 2*p + 5. Find the second derivative of c(n) wrt n.
6*n + 10916
Let q(c) be the third derivative of 1/60*c**6 + 0 + 0*c**5 + 1/3*c**3 + 56*c**2 - 1/70*c**7 + 1/6*c**4 + 0*c. What is the second derivative of q(r) wrt r?
-36*r**2 + 12*r
Find the third derivative of 70*x - 23*x**2 - 2*x**2 - 76*x - 31*x**2 + 7*x**2 + 2365*x**4 wrt x.
56760*x
Let m(d) be the first derivative of 3*d**5/5 - 307*d**4/4 + 875*d**2/2 + 2278. What is the second derivative of m(z) wrt z?
36*z**2 - 1842*z
Find the first derivative of -536 + 755*a**3 + 3620*a**3 + 5925*a**3 - 1201*a**3 + 1190*a**3 wrt a.
30867*a**2
Let j(f) = 107*f + 81. Let m(r) = 429*r + 326. Suppose 36 = 19*s - 21*s. Let y(a) = s*j(a) + 4*m(a). Differentiate y(p) wrt p.
-210
Differentiate 1829 - 5923 - 5992 + 5150*r - 175 with respect to r.
5150
Let i be 4 - ((-5 - -2) + 41). Let v = i + 40. Find the third derivative of -9*d**v - 6*d**6 + 21*d**6 - 6*d**2 wrt d.
720*d**3
Let t(p) = 6*p**2 - 9*p + 7. Let d be t(1). What is the third derivative of -y - 2083*y**4 + 1881*y**d + 16*y**2 + y wrt y?
-4848*y
Suppose -7*r + 81 = -10. Let x(s) = s + 7. Let w be x(-5). What is the second derivative of -29*n**2 + 12*n + 21*n**2 + r*n**w - 4*n wrt n?
10
Let h(r) = r**2 + 27*r + 112. Let d be h(-5). Let a(k) be the first derivative of 6 + 8/3*k**3 + 0*k - 9*k**d. What is the second derivative of a(y) wrt y?
16
Suppose 15 = 4*c - 1. Suppose -4*h + 16 = -8. Differentiate 12*g**2 + 2*g**2 - c*g**2 - 5*g**2 - h wrt g.
10*g
Let r(j) = 992*j**3 + 414. Let p(d) = -15*d**3 + d**2 - 1. Let a(b) = 2*p(b) + r(b). Differentiate a(z) wrt z.
2886*z**2 + 4*z
Find the second derivative of -25*l**3 - 6*l**4 + 12*l**3 + 15*l**3 + 25*l + 129*l - 1878*l**2 + 1892*l**2 wrt l.
-72*l**2 + 12*l + 28
Let l(d) be the second derivative of -381*d**5/20 + d**3/6 - 761*d**2/2 + d + 145. Find the first derivative of l(r) wrt r.
-1143*r**2 + 1
Let w(s) be the third derivative of 293*s**4/4 + 369*s**3 - 47*s**2 + 20*s. What is the derivative of w(z) wrt z?
1758
Let q be (9282/1904)/((-2)/(-4)). Let x(d) be the first derivative of -q*d**4 + 0*d**3 - 3*d + 24 + 0*d**2. What is the derivative of x(r) wrt r?
-117*r**2
Let r(f) be the first derivative of -146*f + 17 + 55/2*f**2. What is the first derivative of r(t) wrt t?
55
Suppose 10459 = 7*v - 3772. Find the third derivative of 200*f**4 - v + 2033 - 152*f**2 wrt f.
4800*f
Let h(t) be the second derivative of -2*t**2 - 1/6*t**4 - 19/6*t**6 + 0*t**5 - t + 24 + 0*t**3. What is the third derivative of h(y) wrt y?
-2280*y
Suppose -8*d - 3*r = -3*d - 30, 4*d + 2*r - 22 = 0. What is the third derivative of 642*x**3 + 136*x**2 - 320*x**3 - 325*x**d - 25*x**4 wrt x?
-600*x - 18
Let o(b) be the third derivative of 0*b**5 + 1/20*b**6 + 28*b**2 + 0 + 0*b**4 + 2*b - 9/2*b**3. Find the first derivative of o(m) wrt m.
18*m**2
Let t(u) be the first derivative of -14*u**5 + u**2/2 + 752*u + 360. What is the derivative of t(w) wrt w?
-280*w**3 + 1
Let v(b) be the second derivative of -73*b**6/10 - b**4/6 - 2*b**3/3 + 59*b**2/2 + 6430*b. Find the second derivative of v(s) wrt s.
-2628*s**2 - 4
Let x = -15 - -33. Let i be (2 + -5)/(2 - 3). Differentiate -9*a**3 + 10 - x*a**i + 21*a**3 wrt a.
-18*a**2
Differentiate 579660*u**3 + u**2 + 8444 + 13*u - 579660*u**3 - 41*u**4 with respect to u.
-164*u**3 + 2*u + 13
What is the first derivative of -93*c**2 - 3365 - 322*c**3 + 95*c**2 - 590*c**3 wrt c?
-2736*c**2 + 4*c
What is the third derivative of -367*v**2 - 1053 - 83*v**2 + 393*v**6 + 1051 wrt v?
47160*v**3
Differentiate 48*h**2 - 1407 - 12*h**3 - 157*h**2 + 16*h**3 - 2414 with respect to h.
12*h**2 - 218*h
Suppose 0 = -m - 5*j - 25, 7 = -4*m - 4*j - 13. Let f = m - -9. What is the first derivative of 7 + 3 + 11*o**2 - 9 - f wrt o?
22*o
Differentiate -3*a**2 + 681 + 1437 + 437 - 218*a wrt a.
-6*a - 218
Let f(j) be the third derivative of 118*j**7/21 + 43*j**4/24 - j**3/6 + 1651*j**2. Find the second derivative of f(h) wrt h.
14160*h**2
Let i(b) be the first derivative of 0*b**2 - 56 + 2*b + 32/3*b**3 + 13*b**4. What is the third derivative of i(q) wrt q?
312
Suppose -29113 = -3*r + v, 2*r - 8943 - 10466 = v. Find the first derivative of -82*o**2 - r*o + 970