derivative of 4*i**3 + 49*i**4 - 60362*i**2 + 9*i**4 + 67653*i**2 wrt i?
1392*i + 24
Differentiate 972 - 3479*n**4 + 3317 + 1735*n**4 - 996 + 2373 wrt n.
-6976*n**3
Let c(a) = 17481*a**2 - 7699. Let j(s) = 8739*s**2 - 3848. Let n(x) = -4*c(x) + 9*j(x). What is the first derivative of n(z) wrt z?
17454*z
What is the second derivative of -25*b**3 + b**3 + 6*b**3 + 19*b**3 - 2*b**3 + 522*b + 359*b**2 wrt b?
-6*b + 718
Let m(a) be the first derivative of 3229*a**4/2 + a**3 - 1092*a - 6193. Find the third derivative of m(y) wrt y.
38748
Let i(z) = -z**3 + 4*z**2 + 16*z - 3. Let h be i(6). Suppose -3 = l - 6. Find the second derivative of 18*m + 5*m + 23*m**3 - 8*m**3 + h*m**l wrt m.
216*m
Let t(n) be the second derivative of -37*n**4/24 + 67*n**3/6 + 41*n**2/2 + 76*n. Let g(d) be the first derivative of t(d). What is the derivative of g(x) wrt x?
-37
Suppose 4*i - 178 = 5*c, -i = c - 2*i + 35. Let j = c + 47. What is the derivative of n**2 - j - 12*n**2 + 6*n**2 wrt n?
-10*n
Let r(l) = l**2 - 4*l - 19. Let h(y) = 2*y + 45. Let z be h(-19). Let t be r(z). Find the third derivative of 2*d**2 + 12*d + d**6 + 9*d**t - 12*d wrt d.
120*d**3
Suppose 0 = 4*d - 4*x - 36, -d - x - 3*x = -9. What is the third derivative of -d - 3 + 6 + 193*m**4 + 2 + 6 - 20*m**2 wrt m?
4632*m
Let r(g) = -g**3 + 13*g**2 - 11*g - 8. Let p be r(12). Suppose -8 + 0 = -p*o. What is the second derivative of 67*s + 17*s**2 + 2*s**o - 48*s wrt s?
38
Let m(f) be the first derivative of -73*f**4/4 - 702*f**3 + 212. Find the third derivative of m(d) wrt d.
-438
Let o(q) be the first derivative of 449*q**3 - 7*q**2/2 - 39*q - 897. Find the second derivative of o(x) wrt x.
2694
Let h be (14 - 0)*3/(-84)*-8. Find the second derivative of 118*g**4 + 99*g**4 - 40*g - 169*g**h wrt g.
576*g**2
Let b(u) be the third derivative of -137/24*u**4 - 4*u**2 + 0 + 77/20*u**5 + u + 0*u**3. Find the second derivative of b(x) wrt x.
462
What is the derivative of -2738*u**2 - 163*u**2 + 954 + 544 + 357 wrt u?
-5802*u
Let m(a) = 2155*a**3 + 6673*a**2 + 6. Let s(x) = -4310*x**3 - 13347*x**2 - 11. Let y(r) = 11*m(r) + 6*s(r). Find the third derivative of y(j) wrt j.
-12930
Let d(a) = 22*a - 304. Let v be d(14). Find the first derivative of 149619 + 92*p**4 - 261*p**v - 149596 wrt p.
-676*p**3
Let h(i) = i**3 + 7*i**2 - 7*i + 7. Let w be h(-6). Differentiate 671*n**2 - 671*n**2 - w*n**3 - 12 with respect to n.
-255*n**2
Suppose -455 = -5*d - 435. Find the third derivative of -45*r**4 - 12*r - 24 + 24 + 4*r**2 + 3*r - 100*r**d wrt r.
-3480*r
Let i be 39/3 - (-8)/(-2). Suppose 0*t - i*t = -180. What is the first derivative of -11 - 20 - a - t*a wrt a?
-21
Let p(a) be the third derivative of 1/6*a**3 - 1/30*a**7 - 2*a**4 + 0*a**5 - 21 + 0*a + 0*a**6 - a**2. Find the second derivative of p(q) wrt q.
-84*q**2
Let s(l) = 5006*l**4 - 4*l**2 + 3069*l + 2. Let j(c) = c**4 - c**2 + 1. Let h(a) = -4*j(a) + s(a). What is the second derivative of h(w) wrt w?
60024*w**2
Let v = -12 - -14. Suppose 0 = -v*f + 5*l + 7, 2*f + 4*l = -0*l + 16. What is the second derivative of -7*s**2 + f*s - 3*s - 10*s**2 - s wrt s?
-34
Let z(b) = -b**3 - b**2 - b + 6. Let i(y) = -921*y**3 + 5400*y**2 + 9*y - 54. Let q(c) = i(c) + 9*z(c). What is the third derivative of q(k) wrt k?
-5580
Let g(z) be the third derivative of 21*z**6/8 + 731*z**4/8 - 574*z**2. Find the second derivative of g(n) wrt n.
1890*n
Let f(x) be the third derivative of -103*x**6/120 - x**5/30 - 629*x**3/6 + 1210*x**2. What is the derivative of f(d) wrt d?
-309*d**2 - 4*d
Suppose -j - 5*p + 34 = 0, 38 = 4*p + 22. Differentiate 24 + 8*y**2 - 328*y**3 - 8*y**2 + 23 - j wrt y.
-984*y**2
Let b = -344 + 453. What is the first derivative of 1 - 21 - b - 6*q**4 - 3*q**3 wrt q?
-24*q**3 - 9*q**2
Let x(i) = i**2 - 34*i + 162. Let c be x(5). Find the second derivative of -c*u**3 - 2*u**4 + 6*u**2 + 13*u**3 + 4*u**3 - 69*u wrt u.
-24*u**2 + 12
What is the third derivative of -4743*f**3 + 4743*f**3 - 2476*f**5 - 770*f**2 + f + 8889*f**5 wrt f?
384780*f**2
Let q(k) be the first derivative of -1059*k**5/5 - k**4/4 + 5*k**3/3 - 203*k**2/2 + 5636. What is the third derivative of q(m) wrt m?
-25416*m - 6
Let v be (-18)/90 - (186/(-5) - 2). Suppose 9 = -3*f + v. Find the third derivative of -27*g**6 - 3*g**5 + g**6 + f*g**2 + 3*g**5 wrt g.
-3120*g**3
Let c(m) = 86*m + 6. Let z(u) = 17*u + 1. Suppose -2*x - 82 = -0*x. Let w = 43 + x. Let f(j) = w*c(j) - 11*z(j). Differentiate f(i) wrt i.
-15
Let d(t) be the third derivative of -1943*t**6/30 - 127*t**4/12 + t**3/3 + 84*t**2 - 4. What is the second derivative of d(i) wrt i?
-46632*i
Find the third derivative of 748*v**2 - 3*v - 87*v**6 + 9*v + 2*v - 135*v**6 - 7*v wrt v.
-26640*v**3
Let t(k) = 24*k + 7. Let x be t(2). What is the second derivative of -2 - 18*p**3 + 1 + x*p + 2*p**2 - 34*p - p**2 wrt p?
-108*p + 2
Let h(a) = -21*a**2 + a + 1. Let u(f) = 359*f**2 + 1958*f - 5256. Let t(n) = 17*h(n) + u(n). Differentiate t(l) with respect to l.
4*l + 1975
Let b(a) = -3*a**2 - 4*a + 1. Let m be b(-1). What is the third derivative of -250 + 250 + 71*i**5 - 279*i**m wrt i?
4260*i**2
Let n(a) be the first derivative of 1090*a**3/3 - 690*a**2 + 1066. Find the second derivative of n(z) wrt z.
2180
Let b(v) be the first derivative of 7*v**6/180 + 7*v**5/120 + 3*v**4/8 + 91*v**3/3 - 266. Let k(o) be the third derivative of b(o). Differentiate k(s) wrt s.
28*s + 7
Suppose -5*o + 31 = 16. What is the third derivative of 13227*p**o - 60*p**4 + 115*p**2 - 13227*p**3 wrt p?
-1440*p
Let o(t) be the second derivative of 33*t**8/56 + 13*t**7/42 + 5*t**4/12 + t**3/3 + 13*t**2 + 2*t + 2648. Find the third derivative of o(y) wrt y.
3960*y**3 + 780*y**2
Let c(m) = -1827*m**2 - 6*m + 2840. Let l(b) = -3655*b**2 - 14*b + 5682. Let j(u) = 7*c(u) - 3*l(u). What is the first derivative of j(n) wrt n?
-3648*n
Let r(c) be the third derivative of 253*c**4/3 - 1289*c**3/6 - 1009*c**2. What is the first derivative of r(n) wrt n?
2024
What is the second derivative of 614*s + 54*s**2 + 916*s + 834*s - 6722*s**3 + 2 - 697*s - 56*s**2 wrt s?
-40332*s - 4
Let h(a) = 1382*a**2 - 3296. Let f(j) = j**2 - 1. Let q(v) = 8*f(v) + h(v). Differentiate q(s) with respect to s.
2780*s
Suppose -27*b + 11 = -43. Find the third derivative of 48*l - 20*l + 9 + 236*l**4 + 57*l + b*l**2 - 9 wrt l.
5664*l
Suppose 2*j = 3*l + 10, -5 + 7 = -l. Find the third derivative of -139*g**j - 385*g**2 - 5*g**3 + 697*g**2 - 16*g**4 wrt g.
-384*g - 30
Find the third derivative of 2*u**5 - 1 - u**2 + 28*u - u - 2*u**2 + 1097*u**6 - 957*u**6 + u**2 wrt u.
16800*u**3 + 120*u**2
Differentiate -186*u**3 + 81*u**3 + 52*u**2 - 282*u**3 - 55*u**2 - 188 wrt u.
-1161*u**2 - 6*u
Let m(y) = 14*y**3 - 26*y**2 - 3*y - 296. Let q(i) = 26*i**3 - 54*i**2 - 3*i - 592. Let b(g) = 11*m(g) - 6*q(g). Find the first derivative of b(o) wrt o.
-6*o**2 + 76*o - 15
Let g(l) be the third derivative of -l**7/105 - 1111*l**6/120 - 19*l**4/6 - l**3/3 - 2*l**2 + 4*l + 256. Find the second derivative of g(b) wrt b.
-24*b**2 - 6666*b
Let v(p) = -16*p**4 + 33*p**4 - 24*p**3 + 6*p + 23*p**3 - 115. Let u(m) = -m**4 + 2*m - 1. Let w(f) = 3*u(f) - v(f). Differentiate w(y) wrt y.
-80*y**3 + 3*y**2
Find the second derivative of v - 5*v - 14 - 9*v**2 - 2316*v**4 + 2327*v**4 wrt v.
132*v**2 - 18
Suppose -v = -8 - 13. Let o = -17 + v. What is the second derivative of 0*p - 5*p - 16*p + o*p + 17*p**2 wrt p?
34
Let n(f) be the third derivative of 1/12*f**5 + 0*f - 1/4*f**4 - 13/56*f**8 + 0*f**3 + 0*f**7 + 0 - 28*f**2 + 0*f**6. Find the third derivative of n(u) wrt u.
-4680*u**2
Let h(f) = -f**2 - 22*f - 38. Let n be h(-20). Find the third derivative of -29*c**3 - 8*c**2 - c**n + 107*c**3 wrt c.
468
What is the first derivative of 692 - 1837*f**2 + 1347 - 60 + 2*f**3 wrt f?
6*f**2 - 3674*f
Let j(u) = 91 - 19559*u**2 - 6*u + 63*u**3 + 19559*u**2. Let v(l) = -126*l**3 + 10*l - 183. Let g(f) = 5*j(f) + 3*v(f). Find the first derivative of g(k) wrt k.
-189*k**2
Let g(t) = -12027*t**4 - 9*t**2 - 22222*t. Let c(b) = 6018*b**4 + 4*b**2 + 11111*b. Let x(a) = -9*c(a) - 4*g(a). Find the second derivative of x(z) wrt z.
-72648*z**2
Find the second derivative of -16*p**3 + 73*p**3 + 2796*p - 236*p**2 - 18*p**3 - 25*p**3 - 16*p**3 wrt p.
-12*p - 472
Let r be (-500)/