st derivative of a(i) wrt i?
-2592
Let k(g) be the third derivative of -g**6/120 + 37*g**5/60 + 357*g**3/2 + 230*g**2 + 2*g. Differentiate k(x) wrt x.
-3*x**2 + 74*x
Let b(z) = 43*z**4 - 11*z**3 - 1102*z + 5. Let g(f) = -92*f**4 + 23*f**3 + 2205*f - 11. Let p(w) = -5*b(w) - 2*g(w). Find the second derivative of p(r) wrt r.
-372*r**2 + 54*r
Differentiate 548*h + 236*h - 2048 + 240*h wrt h.
1024
Let c(k) be the third derivative of 0*k**7 - 1/60*k**5 + 0 + 0*k + 0*k**3 + 76*k**2 + 1/6*k**4 - 17/56*k**8 + 0*k**6. Find the third derivative of c(w) wrt w.
-6120*w**2
Let a(d) be the second derivative of -29/2*d**3 + 0*d**4 + 0 - 96*d + 0*d**5 + 0*d**2 + 11/15*d**6. What is the second derivative of a(c) wrt c?
264*c**2
Let x(c) be the first derivative of 5917*c**2/2 + 4498*c + 5997. Find the first derivative of x(o) wrt o.
5917
Suppose 11*z = 15*z - 20. Suppose 5*o - j - 107 = 0, j - z*j - 71 = -3*o. Find the first derivative of -18 + o + 2*n**3 - 12 wrt n.
6*n**2
Find the third derivative of -349 + 0*s**2 - 720 - 2*s**3 + 0*s**2 + 9*s**2 - 7*s**2 + 685*s**6 wrt s.
82200*s**3 - 12
Let g(n) be the third derivative of -73*n**6/30 + 1694*n**3/3 - n**2 + 2*n + 722. Differentiate g(o) wrt o.
-876*o**2
Let b(u) be the third derivative of -143*u**8/42 - 71*u**5/2 - 95*u**2 + 6*u. What is the third derivative of b(r) wrt r?
-68640*r**2
Let g(i) = -7*i**3 - 5*i**2 + 13*i - 3242. Let o(r) = -8*r**3 - 6*r**2 + 12*r - 3236. Let v(h) = 6*g(h) - 5*o(h). What is the first derivative of v(x) wrt x?
-6*x**2 + 18
What is the first derivative of 499 + 480 - 15*r**2 + 938 + 15*r + 179 - 15*r**2 wrt r?
-60*r + 15
Let h(v) be the third derivative of 97/24*v**4 - 72*v**2 - v + 0 + 61/6*v**3. What is the first derivative of h(m) wrt m?
97
Suppose -25*q = 16*q - 609834. What is the first derivative of 2*w + 11*w**4 - q + 14817 - 3*w**2 + 3*w**2 wrt w?
44*w**3 + 2
Find the third derivative of -33783*y**4 + 5*y**2 + 11089*y**4 + 9338*y**4 - 563*y + 9345*y**4 wrt y.
-96264*y
Let j(f) be the third derivative of 0 - 1/40*f**6 + 0*f**5 + 0*f - 1/8*f**4 + 29/3*f**3 - 54*f**2. Differentiate j(t) with respect to t.
-9*t**2 - 3
Let c = -6 + 42. Let k = 39 - c. Find the second derivative of 22*z + z**3 + 0*z**3 - z**k + 11*z**4 wrt z.
132*z**2
Let o(j) be the first derivative of 499*j**6/6 - 2*j**5/5 - j**2 - 667*j + 718. Find the second derivative of o(k) wrt k.
9980*k**3 - 24*k**2
Let r(z) = 4*z**2 - 10. Suppose 0 + 3 = -o. Let i be r(o). Find the third derivative of 8*u**2 - 6*u**2 + 10*u**2 - i*u**6 wrt u.
-3120*u**3
Suppose 4*p = -12, -p - 249 - 298 = -4*f. What is the third derivative of 2 + f*a**5 + 3*a**4 - 5*a**2 - 7 - 124*a**5 wrt a?
720*a**2 + 72*a
Let m(a) = 6*a**2 + a - 3. Let n(b) = 738*b**3 - 6*b**2 - b - 1149. Let r(p) = -3*m(p) - 3*n(p). Find the first derivative of r(t) wrt t.
-6642*t**2
Let t be -3 - 195/(-25) - (-2)/10. Suppose -3*v - t*v = -48. Find the first derivative of -6 + 4 - v*g**2 - 9*g**2 - 15 wrt g.
-30*g
Find the second derivative of -723*v + 553*v**5 + 71 - 290 + 718*v wrt v.
11060*v**3
Let w(j) be the third derivative of 2*j**7/35 + 89*j**6/120 + j**4/24 - 160*j**3/3 - 3*j**2 + 26. What is the second derivative of w(o) wrt o?
144*o**2 + 534*o
Let x(r) be the second derivative of 279*r**6/10 + 56*r**3/3 - 3*r**2/2 + 430*r. Find the second derivative of x(q) wrt q.
10044*q**2
Let l(b) = b**2 - 15. Let j(z) = 963*z**2 - 1834*z - 120. Let x(q) = j(q) - 8*l(q). What is the second derivative of x(w) wrt w?
1910
Let l be (-54)/(-12)*4/6. Suppose 0 = -9*c + 20*c - 352. What is the second derivative of c*d**3 - d - d - 19*d**l wrt d?
78*d
Find the third derivative of 5616*i**2 + 2306887*i - 6*i**3 - 2306887*i - 2*i**5 + 8*i**5 wrt i.
360*i**2 - 36
Let u(n) be the second derivative of -27 + 3*n - 43/6*n**3 + 67/2*n**2. Differentiate u(k) with respect to k.
-43
Suppose 5*w + 2*v = 20, 0 = w - 2*v + 3 + 5. What is the third derivative of 2*b**3 + 23*b**6 + 3*b**w + 0 + 11*b**3 - 12*b**3 - 16 wrt b?
2760*b**3 + 6
Let n be 7/((-105)/6) + (-1 - 351/(-65)). Let m(b) be the first derivative of -b**n + 0*b**2 + 0*b - 13/3*b**3 - 30. Find the third derivative of m(f) wrt f.
-24
Let n(i) = 2721*i**3 - 12*i + 4140. Let c(z) = 8160*z**3 - 38*z + 12419. Let f(p) = -6*c(p) + 19*n(p). What is the first derivative of f(s) wrt s?
8217*s**2
Suppose -4*d + 2*d + 2 = -w, 2*d = -4*w + 32. What is the third derivative of 2*t**2 - t + 32*t**w - 30*t**6 + t + 19 wrt t?
240*t**3
Suppose 16*q - 200 = -40. Find the third derivative of 70*p**2 + 0*p**4 + 264*p**5 - 41*p**5 - q*p**2 + 0*p**4 wrt p.
13380*p**2
Let b(k) = k + 8. Let z be b(-6). Suppose 0*n = z*n - 38. Find the second derivative of o - 11*o + n*o - 3*o**2 + 13*o**2 wrt o.
20
Let q(i) be the second derivative of 193*i**6/15 + 1073*i**4/12 + 771*i. Find the third derivative of q(x) wrt x.
9264*x
Let s(b) be the third derivative of 371*b**5/4 - 1994*b**3/3 + 84*b**2 + 43. Differentiate s(w) wrt w.
11130*w
Let x(b) be the second derivative of 463*b**3/2 + 523*b**2/2 - 3*b - 27. Differentiate x(u) with respect to u.
1389
Let z(c) be the first derivative of 116 + 58*c**2 + 0*c + 5/4*c**4 + 2*c**6 + 0*c**3 + 0*c**5. What is the second derivative of z(d) wrt d?
240*d**3 + 30*d
Let c(w) = 17*w**2 - w - 2. Let b be c(-3). Let u be ((-6)/4)/(4/(-16)). What is the third derivative of 12*l**2 - 9*l**u - 154 + b wrt l?
-1080*l**3
Let l(t) be the third derivative of 29*t**6/60 - t**4/24 + 4*t**3 - 46*t**2. Let n(j) = 2. Let f(k) = -l(k) + 2*n(k). Find the second derivative of f(r) wrt r.
-348*r
Let w(t) = 5*t - 41. Let l(y) = y - 10. Let j(x) = 9*l(x) - 2*w(x). Let z be j(-11). Find the first derivative of -7*o**z - 22 + 14 + 24*o**3 wrt o.
51*o**2
Let l be (28 + -22)*(-6)/(-45). Let u(s) be the second derivative of 0*s**3 + 0 + 0*s**4 + 4*s - l*s**5 - 5/2*s**2. Find the first derivative of u(y) wrt y.
-48*y**2
Let q(j) = 3077*j**3 + 153*j**2 + 8050. Let u(v) = -v**3 + 17*v**2. Let g(b) = q(b) - 9*u(b). Differentiate g(d) with respect to d.
9258*d**2
Let d(w) = 2*w - 24. Let c be d(12). Suppose c = 2*b + 2 - 6. Find the second derivative of 3*u**2 + 8*u**b - 6*u - 24*u wrt u.
22
Let v be 11 + 0 + -4 + 1 + 0. Let o(i) = -12 + 19*i + 6 + v*i - 5*i. Let r(z) = -21*z + 5. Let j(m) = 4*o(m) + 5*r(m). Differentiate j(n) wrt n.
-17
Suppose 3*m = y - 14, 3*y = 2*m + 17 + 4. Suppose -y*p = 0, z - 3*p - 1 = 7. What is the first derivative of -10 - 9*t + 7*t - 3*t - z*t wrt t?
-13
Differentiate -673 + 1039 - 1251*g**2 + 539 - 755*g**2 + 1763 wrt g.
-4012*g
Let w(r) be the second derivative of 0 + 75*r + 7/4*r**4 - 11/2*r**5 + 0*r**3 + r**2. What is the third derivative of w(s) wrt s?
-660
Let g(q) be the first derivative of 0*q**4 + 27/5*q**5 + 0*q**3 + 1/2*q**2 + 2*q + 155. What is the second derivative of g(u) wrt u?
324*u**2
Suppose -19*b = -15*b - 148. Suppose -2*w + t = -b, -5*t = 4*w - 3*w - 13. What is the first derivative of -1 + 4 - w + 19*j wrt j?
19
Let b(a) be the first derivative of 1/3*a**3 - 1/4*a**4 - 21/2*a**2 - 55/2*a**6 + 0*a + 0*a**5 - 166. Find the third derivative of b(p) wrt p.
-9900*p**2 - 6
Let p(j) be the second derivative of -158*j**7/3 - 14*j**3 - j**2 + 877*j. Find the second derivative of p(t) wrt t.
-44240*t**3
Let h(x) = 8*x**3 - 92*x**2 - 2*x + 955. Let n(p) = 19*p**3 - 183*p**2 - 5*p + 1905. Let z(w) = 11*h(w) - 5*n(w). What is the second derivative of z(m) wrt m?
-42*m - 194
What is the second derivative of 145*r**3 - 296*r**3 + 151*r**3 - 271*r - 404*r - 8162*r**4 wrt r?
-97944*r**2
Let c(j) be the second derivative of -j**7/42 - 292*j**5/5 - 511*j**4/6 + j**2 + 9*j + 251. Find the third derivative of c(v) wrt v.
-60*v**2 - 7008
Let t(f) be the second derivative of -299*f**5/5 - 679*f**4/12 + 512*f + 3. What is the third derivative of t(p) wrt p?
-7176
Let i(t) = t**2 - 7*t + 19. Let u be i(7). Find the second derivative of -8 + 68*h**4 + 114*h + 61*h**4 + 29 + u - 115*h wrt h.
1548*h**2
Let m(b) be the second derivative of 101*b**6/3 - 127*b**4/2 + 144*b. Find the third derivative of m(y) wrt y.
24240*y
Let h(w) be the second derivative of 17*w**7/42 - 7*w**5/2 - 2225*w**3 - 39*w - 57. Find the second derivative of h(a) wrt a.
340*a**3 - 420*a
Let u(l) be the first derivative of -6317*l**5/5 - 5937*l - 3052. Dif