 respect to s.
-200
What is the derivative of -479*s + 0*s**2 - 775 - 475*s + 2055 - 85*s**2 + 956*s wrt s?
-170*s + 2
Let t(q) be the first derivative of 0*q - q**2 + 35/3*q**3 + 64/5*q**5 + 11 + 0*q**4. Find the third derivative of t(a) wrt a.
1536*a
Let b(l) = l**2 - 19*l + 36. Suppose f - 3 - 14 = 0. Let t be b(f). Find the first derivative of -t*v**2 + 503*v**3 + 13 + 2*v**2 - 498*v**3 wrt v.
15*v**2
Let s(z) be the second derivative of 547*z**4/6 + 13*z**3/3 - 4*z**2 + 962*z. Find the second derivative of s(q) wrt q.
2188
Let c(s) be the third derivative of -67*s**7/210 - 29*s**3/3 + 4*s**2 - s. Find the first derivative of c(i) wrt i.
-268*i**3
Let t = 2 - 7. Let h be (15/6)/(t/(-30)). What is the derivative of 0 + 1 - 40*u - h*u**2 + 40*u wrt u?
-30*u
Find the third derivative of 40*b + 634*b**3 - 15*b - 31*b - 192*b**3 - 30*b**2 + b**5 wrt b.
60*b**2 + 2652
Find the second derivative of 5701*b**5 - 1 - 3054*b**5 - 60*b - 4*b**3 - 2864*b**5 wrt b.
-4340*b**3 - 24*b
Let k = -17 - -11. Let f(b) = -4*b + 1. Let n be f(k). Find the first derivative of n*z**2 + 2 - 16*z**2 - 11*z**2 wrt z.
-4*z
Let y(f) be the second derivative of -4973*f**3/3 + 6221*f**2/2 + 5605*f. Differentiate y(s) wrt s.
-9946
Let d(r) = -133*r**2 - 411*r - 24925. Let h(w) = 45*w**2 + 138*w + 8307. Let q(x) = 2*d(x) + 7*h(x). What is the first derivative of q(k) wrt k?
98*k + 144
Let g(b) be the third derivative of -b**6/60 + 25*b**5/3 - b**4/24 + 525*b**3/2 - 2*b**2 + 30*b - 1. What is the first derivative of g(u) wrt u?
-6*u**2 + 1000*u - 1
Let n(l) be the second derivative of l + 4/3*l**3 + 0 - 21/2*l**2. Let u(m) = -16*m + 41. Let z(j) = 9*n(j) + 4*u(j). Find the first derivative of z(v) wrt v.
8
Suppose -10*o - 4*d + 285 = -7*o, -3*d + 288 = 3*o. What is the derivative of -81 + 173 - 81*y**4 - o - 159 - 6 wrt y?
-324*y**3
Let k(x) = -6*x**3 - 4*x**2 + 910*x + 8117. Let h(d) = -d**3 - 2*d**2 - d - 7. Let v(w) = 2*h(w) - k(w). What is the first derivative of v(q) wrt q?
12*q**2 - 912
Let o(m) = -7704*m**2 + 2*m + 3105. Let q(k) = -15409*k**2 + 5*k + 6196. Let r(l) = 5*o(l) - 2*q(l). What is the first derivative of r(y) wrt y?
-15404*y
Let o(m) be the second derivative of -3/20*m**5 - 103/12*m**4 + 111*m + 0*m**3 + 0 + 0*m**2 - 1/15*m**6. What is the third derivative of o(k) wrt k?
-48*k - 18
Let q be -5 - (4 + -3 - 2). Let m(t) = -58*t - 65. Let o(c) = c + 2. Let x(b) = q*o(b) + m(b). Find the first derivative of x(y) wrt y.
-62
Suppose -3*y = -3*o - 123, 4*y + 25*o - 23*o = 134. Differentiate -100*h**4 + 15*h**2 + 49*h**4 - 4*h**2 + 55*h**4 - 40 - y wrt h.
16*h**3 + 22*h
Let f(k) be the first derivative of -223*k**4/4 - 2169*k + 631. Find the first derivative of f(a) wrt a.
-669*a**2
Differentiate -356*o - 524*o - 20 + 2893*o - 12 with respect to o.
2013
Let n(k) = 2*k - 15. Let x be n(4). Let v(q) = -6*q - 37. Let l be v(x). What is the second derivative of 33*c**l + 2*c - 29*c**5 + 8*c - 20*c**5 wrt c?
-320*c**3
Suppose 5*l = 15*l - 80. What is the second derivative of -l*y**3 + 3*y**3 + 64*y + 2*y**2 + 12*y**3 + 5*y**3 wrt y?
72*y + 4
Let l(r) be the third derivative of r**7/210 + 667*r**6/8 + 161*r**5/30 + r**4/6 - 6*r**2 - 9*r + 27. What is the third derivative of l(c) wrt c?
24*c + 60030
Let j be (-138)/(-24) + -3*2/(-24). Differentiate 36 - 10 + 85 - j*k + 7*k**3 wrt k.
21*k**2 - 6
Let p(n) be the second derivative of 1141*n**5/20 + 390*n**2 + 1185*n. Differentiate p(k) wrt k.
3423*k**2
Suppose 0 = -10*p - 59 + 279. Suppose 15*m + 140 = p*m. What is the third derivative of 3*g**4 - m*g**4 + 34*g**2 - 75 + 75 wrt g?
-408*g
Let r(j) be the second derivative of 0*j**4 - 112*j**2 - 33/5*j**5 + 33*j + 0 + 0*j**3. What is the first derivative of r(z) wrt z?
-396*z**2
What is the second derivative of 164 - 321 + 166 - 485*j**5 + 57*j + 18*j - 1795*j**5 wrt j?
-45600*j**3
What is the second derivative of -2674*z + 3*z**5 + 214*z**2 + 637*z - 174*z**2 - z**3 wrt z?
60*z**3 - 6*z + 80
Let q(u) be the second derivative of 27*u**8/28 - 373*u**4/4 - 190*u. What is the third derivative of q(n) wrt n?
6480*n**3
Let m(v) be the second derivative of -17*v**5/2 + 7*v**4/12 - 407*v**3/3 + 2*v**2 - 4543*v. Find the second derivative of m(k) wrt k.
-1020*k + 14
Let f(s) be the second derivative of 79*s - 2 + 32/3*s**3 + 1/2*s**2. What is the derivative of f(k) wrt k?
64
Let h(q) = 2*q - 138. Let k be h(0). Let b = 142 + k. Find the third derivative of -11*v**b + 44*v**2 + 31*v**4 - 5*v**4 - 10*v**4 wrt v.
120*v
Let f(h) = 12*h**2 - h + 2. Let u be f(1). Find the third derivative of u*v**3 - 3*v**6 + 9*v**3 - 6*v**2 - 23*v**2 wrt v.
-360*v**3 + 132
Let o(z) be the third derivative of -143*z**2 + 0 + 0*z - 25/8*z**4 + 0*z**6 + 0*z**5 + 0*z**3 - 97/210*z**7. Find the second derivative of o(t) wrt t.
-1164*t**2
Let v be (2/(-16) + (-23)/(1472/(-40)))*0. Let a(s) be the third derivative of 23/24*s**4 + 15/2*s**3 - 27*s**2 + v + 0*s. What is the derivative of a(o) wrt o?
23
Differentiate 40*f**2 + 8384 - 9468 - 3093*f**4 - 40*f**2 with respect to f.
-12372*f**3
Differentiate 660*n + 757*n - 28658 + 28353 wrt n.
1417
What is the second derivative of -207*h**3 + 487087 + 1370*h**3 + 1407*h**3 - 487088 + 942*h wrt h?
15420*h
What is the second derivative of -52*c**4 - 8*c - 813*c - 763*c - 68*c**4 - 905*c**4 + 2 wrt c?
-12300*c**2
Let y(t) be the first derivative of 2451*t**4/4 - 174*t**2 + 7*t + 1451. Find the second derivative of y(x) wrt x.
14706*x
Let g = 2916 + -2909. Suppose 0*p + 40 = 4*p. Differentiate -p*m + 31 - g*m - 4 with respect to m.
-17
Suppose 23*f = 24*f - 5824. Find the third derivative of -5824*w - 52*w**2 + f*w - 20*w**3 wrt w.
-120
Let t(p) be the first derivative of 38 + p**2 + 1/2*p**4 + 0*p - 6*p**5 + 25/3*p**3. What is the third derivative of t(i) wrt i?
-720*i + 12
Let h(f) = -1941*f - 414. Let j(p) = 5*p + 4. Let z(b) = -h(b) - 6*j(b). Find the first derivative of z(s) wrt s.
1911
Let r(a) be the first derivative of -781*a**5 - 2359*a**2/2 - 3455. What is the second derivative of r(k) wrt k?
-46860*k**2
Let u(p) be the first derivative of -127 - p**2 + 55/3*p**3 - 2*p. What is the second derivative of u(i) wrt i?
110
Let r(f) = -f**3 - 6*f**2 + f + 9. Let x be r(-6). Find the first derivative of -30*w**x + 37*w**3 + 15 + 27*w**3 + w wrt w.
102*w**2 + 1
Let d(q) be the third derivative of 123*q**6/10 + 11*q**5/60 - q**4/24 - 11*q**3/3 + 658*q**2 - q. What is the third derivative of d(k) wrt k?
8856
Let i(q) be the second derivative of q**4/12 + 229*q**3/6 + 1537*q**2/2 + 821*q. Find the first derivative of i(n) wrt n.
2*n + 229
Let p(j) = 704*j**2 - 2*j - 1658. Let c(x) = 1429*x**2 - 5*x - 3316. Let s(b) = 2*c(b) - 5*p(b). What is the first derivative of s(g) wrt g?
-1324*g
Let i be (3/(-2) - -1)/(8/(-528)). Suppose -3*k + 48 = 5*g, -4*k + i - 1 = 4*g. What is the third derivative of -12 - 9*m**5 + 25*m**2 + g wrt m?
-540*m**2
Differentiate -1468 - 1115 - 845*m - 308 + 52 + 490 wrt m.
-845
Let u(l) be the second derivative of -320*l - 3/4*l**5 + 0*l**6 + 0*l**4 + 2/21*l**7 + 64*l**2 + 1/6*l**3 + 0. What is the second derivative of u(f) wrt f?
80*f**3 - 90*f
Suppose v + 2*v - 7 = l, v - 3*l = -3. Suppose -v*n = -3, 4 = -d + 5*n + 16. What is the third derivative of 5*o**6 + d*o**2 - 37*o**2 - 2*o**6 - 22*o**2 wrt o?
360*o**3
Let t(h) = -2*h + 1. Suppose 30*j = 28*j + 132. Let p = 65 - j. Let a(n) = -29. Let m(q) = p*a(q) + 4*t(q). What is the derivative of m(v) wrt v?
-8
Suppose 19*l + 48 = 22*l. Suppose -5*o + 15 = 0, 3*x + 2*o + 1 = l. What is the third derivative of -20*c**3 + 12*c**3 + 3*c**2 + 4*c**x + 4*c**2 wrt c?
-24
Let t be ((-530)/371)/((-2)/70). Differentiate -h - t + 15*h + 37*h wrt h.
51
Suppose 3*w - 4*s + 5 - 1 = 0, 5*s - 20 = 0. Suppose -3*u + 21 = 2*k + 5, -4*k = -u - 18. Find the second derivative of t + 10*t**2 - 12*t**u - w*t wrt t.
-4
Find the third derivative of 36*r**2 + 3*r**4 - 2 + r**4 + 4740*r**5 - r**4 + 15*r - 6442*r**5 wrt r.
-102120*r**2 + 72*r
Let d(i) be the third derivative of 4013*i**7/105 + 4139*i**3/6 - i**2 - 88*i - 16. What is the derivative of d(n) wrt n?
32104*n**3
Suppose -5*d - 2*d + 70 = 0. Let l(k) = k**3 - 9*k**2 - 10*k + 4. Let q be l(d). What is the second derivative of c - 6*c + 17*c**q - 2*c wrt c?
204*c**2