Let r(n) be the first derivative of -250*n**5 + 487*n**3/3 - n**2 + 609. What is the third derivative of r(m) wrt m?
-30000*m
What is the second derivative of -2*h**5 - 337*h + 1815*h + 312*h + 4*h**5 + 555*h**2 wrt h?
40*h**3 + 1110
Let s = 7873 + -7270. Let b be 56/6 - 1/3. Find the first derivative of b*a**2 - s + 307 + 311 wrt a.
18*a
What is the second derivative of -c - 9*c**3 + 279*c**3 - 960 - 1538 - 3411*c**3 wrt c?
-18846*c
Let y(v) be the second derivative of v**5/20 - v**4/12 + 5*v**2/2 + 13*v. Let k be y(0). What is the second derivative of -22*q**4 + 27*q + k*q**4 - 9*q wrt q?
-204*q**2
Let n = -93 + 95. Find the second derivative of 61*d - 14 + 51*d - 113*d + 99*d**n - 38*d**2 wrt d.
122
Let k(q) = 39*q**5 - 28*q**4 + q**3 + 48*q - 1. Let y(i) = i**5 + i**4 - i**3 - 3*i - 1. Let v(p) = k(p) + y(p). What is the second derivative of v(f) wrt f?
800*f**3 - 324*f**2
Let f(p) be the second derivative of 0*p**6 + 3/2*p**2 - 10/3*p**4 + 97*p + 0*p**3 + 61/42*p**7 + 0 + 0*p**5. Find the third derivative of f(n) wrt n.
3660*n**2
What is the first derivative of 398*s + 2164 + 2*s**4 + 106*s + 3823 - 114*s wrt s?
8*s**3 + 390
Let h(a) = 8381*a**2 + 389*a - 31. Let f(m) = 8381*m**2 + 393*m - 34. Let l(r) = 13*f(r) - 14*h(r). Find the second derivative of l(t) wrt t.
-16762
Let n be (63/(-7) - -234)*(0 - -1). What is the second derivative of n*g + 0 + 0 - 375*g**3 + 221*g**3 wrt g?
-924*g
Let q be -2*4/8*-4. Let c be 0 - (-4 - -4 - (0 + q)). Find the third derivative of -121*z**5 - 15*z**2 + 4 - c + 91*z**5 wrt z.
-1800*z**2
Let s be -6*((-9)/(-36))/((-6)/16). What is the second derivative of 247*w**3 + 5*w**4 + 13 - w**4 - s*w - 260*w**3 wrt w?
48*w**2 - 78*w
Let j(t) be the second derivative of -411*t**5/20 - 425*t**2/2 - 32*t + 12. What is the derivative of j(p) wrt p?
-1233*p**2
What is the third derivative of -r**3 + r - 30*r**6 - 1 - 8*r**2 + 39*r**6 + 76*r**2 + 18*r**4 + 2*r**2 + 116*r**2 wrt r?
1080*r**3 + 432*r - 6
Suppose 15 = 7*m - 20. Suppose 0 = -m*v - 4 + 34. What is the third derivative of -9*t**2 - 9*t**5 + 3*t**6 + 9*t**5 + 2*t**v wrt t?
600*t**3
Let n(b) = b**3 + 24*b**2 + 24*b + 25. Let j be n(-23). Suppose -54 = -d - j*d. What is the first derivative of -16 + 27 - d*t - 12 wrt t?
-18
Let p(x) be the third derivative of -1739*x**5/30 - 1124*x**3/3 - 1131*x**2. Differentiate p(r) wrt r.
-6956*r
Let c(l) be the second derivative of 0 - 1/4*l**5 + 0*l**4 - 21*l + 3*l**3 + 79*l**2. Differentiate c(z) wrt z.
-15*z**2 + 18
Differentiate -294 - 187903*x**2 + 934*x**3 + 187903*x**2 wrt x.
2802*x**2
Suppose 2*z - 12 = -3*w, -z = z + 2*w - 10. Find the first derivative of 136*i**3 - 171 + 106*i**z + 3*i**3 wrt i.
735*i**2
Let g(m) be the first derivative of -4*m**6/3 - 22*m**3 + 15*m**2 + 4*m + 1471. What is the second derivative of g(d) wrt d?
-160*d**3 - 132
What is the second derivative of 193*c**4 + 2536*c - 2*c**3 + 768*c**4 + 446*c**4 - 226*c**4 wrt c?
14172*c**2 - 12*c
Let h be (-1)/(-2)*2 - (14 - 111). Let f = h + -82. What is the first derivative of 5*v - 48 - 29*v + f wrt v?
-24
Let t(s) be the first derivative of 0*s + 39/2*s**2 + 20*s**3 + 64. Find the second derivative of t(o) wrt o.
120
Let k(r) be the first derivative of 3*r**2/2 - 18*r + 19. Let z be k(9). Find the second derivative of -2*l - 2*l**2 - l**2 - z*l wrt l.
-6
Let d(q) be the first derivative of 13*q**4/6 + 21*q**3/2 - 157*q**2/2 - 66. Let f(y) be the second derivative of d(y). Differentiate f(p) with respect to p.
52
Differentiate 8*y - 19*y**3 + 258*y**3 - 9*y - 2607 - 2*y + 5*y with respect to y.
717*y**2 + 2
Suppose -5*z = 4*g - 0*z + 12, -3*z - 10 = g. What is the derivative of 4445*j**g - 137 + j - 4445*j**2 + 217*j**3 - j wrt j?
651*j**2
Suppose i + 4*d + 1 - 13 = 0, i - 5*d + 15 = 0. Suppose y + y - 14 = i. What is the third derivative of 5*t**6 + 9*t**5 + 4*t**2 + y*t**6 - 9*t**5 wrt t?
1440*t**3
Let o(q) be the first derivative of q**5 - q**3/3 - 51*q - 970. What is the third derivative of o(s) wrt s?
120*s
Let d(z) be the first derivative of 6873*z**2/2 - 3545*z + 4684. Find the first derivative of d(w) wrt w.
6873
Let y(d) be the second derivative of 145*d**4/6 + d**3/6 + 311*d**2 - 127*d + 1. What is the derivative of y(n) wrt n?
580*n + 1
Find the second derivative of 56*b**3 + 2111*b + b**2 - 8*b**2 - 9045*b wrt b.
336*b - 14
Let k be 5*(-2 - (-12)/5) + 14. Let y = 6 + k. What is the derivative of 4 - y*z**2 - 23 + 17*z**2 wrt z?
-10*z
Find the first derivative of 279774*w + 2216 + 1206 - 281974*w wrt w.
-2200
Let m(t) = 71*t**3 - 6*t**2 + 696*t - 18. Let w(x) = x**2 + x + 3. Let d(c) = -m(c) - 6*w(c). What is the second derivative of d(v) wrt v?
-426*v
Let l = -14769 - -14769. Let g(y) be the second derivative of -23*y**2 + 13/20*y**5 + 0 + 0*y**4 + l*y**3 + 42*y. What is the derivative of g(x) wrt x?
39*x**2
Let p(g) = g. Let m be p(5). Let w(q) = -q + 10. Let r be w(m). Find the second derivative of -v - r*v + 4*v + 7*v**5 - v wrt v.
140*v**3
Let k(y) = -39*y - 15. Let n = 67 - 61. Let m(u) = 38*u + 14. Let b(o) = n*k(o) + 5*m(o). Differentiate b(x) with respect to x.
-44
Let a(f) be the second derivative of 173*f**8/56 - 32*f**4/3 - f**2 + f + 154. Find the third derivative of a(w) wrt w.
20760*w**3
What is the second derivative of 318*r + 1489*r**5 + 2318*r + 1571*r**5 + 720*r**5 wrt r?
75600*r**3
Let l = 149 - 68. Let a = l + -79. What is the third derivative of -3*i**a - 35*i**2 + 9*i**2 + 0*i**2 - 4*i**3 wrt i?
-24
Let f(l) be the second derivative of 6*l**6/5 + 7*l**5/2 + 209*l**4/12 - 70*l - 2. What is the third derivative of f(g) wrt g?
864*g + 420
What is the derivative of 1318*n - 9 - 33 + 88 + 58 wrt n?
1318
Suppose 3*z - 2 + 8 = -3*p, 3*p = -2*z. Let m = -4 - z. Find the second derivative of 2*o**2 - 2*o - 13*o + 2*o**m - 5*o**2 wrt o.
-2
What is the second derivative of 2 + 57*j + 1132*j + 6*j**3 + 502*j - 458*j**2 wrt j?
36*j - 916
Let g(x) be the second derivative of -3/2*x**5 - 2*x + 0 + 0*x**4 - 47/6*x**3 + 0*x**2. Find the second derivative of g(f) wrt f.
-180*f
Suppose 10 = -2*j, 49*h = 46*h - 4*j - 11. Let i(b) be the first derivative of 16/3*b**h + 0*b**2 - 31 + 22*b. Find the first derivative of i(a) wrt a.
32*a
Let x(m) be the second derivative of 183*m**5/5 + 667*m**4/12 - 2033*m. Find the third derivative of x(r) wrt r.
4392
Let o(f) be the first derivative of 0*f**2 + 0*f**4 + 166/5*f**5 - 308*f + 0*f**3 + 95. What is the first derivative of o(m) wrt m?
664*m**3
Suppose -1141851 = -20*v + 534809. What is the second derivative of v + 17*k - 107*k**2 - 83833 wrt k?
-214
Let q be (-702)/((-4)/((-3176)/2378) + -3). Differentiate 41*d**4 - 136*d**4 + 144 - 139347*d + q*d wrt d.
-380*d**3
Let k be 1 + (-9)/((-9)/76). Let f = k + -67. What is the second derivative of -27*l**3 + f*l + 4*l**3 - 11*l wrt l?
-138*l
Let r(q) be the second derivative of 2849*q**4/12 + 7223*q**3/6 + 11170*q. What is the second derivative of r(l) wrt l?
5698
Let w(q) be the third derivative of -737*q**6/30 - 2017*q**3/2 + 4*q**2 - 14*q - 6. Differentiate w(o) wrt o.
-8844*o**2
Let k(j) = 10963*j**2 + 50*j - 280. Let b(s) = 10963*s**2 + 66*s - 278. Let c(n) = 3*b(n) - 4*k(n). Find the second derivative of c(f) wrt f.
-21926
Let d(c) be the second derivative of -c**8/56 + 61*c**5/5 + 2683*c**4/12 + 1526*c. What is the third derivative of d(l) wrt l?
-120*l**3 + 1464
Let w(g) be the second derivative of g**7/42 - 9*g**5/10 + 915*g**4/4 - 224*g. What is the third derivative of w(k) wrt k?
60*k**2 - 108
Find the third derivative of 1467*w**2 + 970*w**6 + 2138*w**6 - 47*w**6 + 1442*w**2 + 454*w**2 wrt w.
367320*w**3
Suppose -12*c + 481 - 85 = 0. What is the third derivative of -25*o**2 + 6*o**4 + 8*o**2 - 12*o**2 + 33 - 7*o**5 - c wrt o?
-420*o**2 + 144*o
Let y(n) = 4*n**3 - 3*n**2 + 2*n. Let x be y(1). Let r(s) = s + 10. Let q be r(-7). What is the derivative of 10*u**q + 7 - 4*u**3 + 3*u**x wrt u?
27*u**2
Suppose -308 = -26*i - 2*i. Find the second derivative of 22*r**2 - i*r**2 - 11*r**2 - 3*r**4 + 16 - 10*r**3 + 5 + r wrt r.
-36*r**2 - 60*r
Let b(a) = 989*a**2 - 2034*a. Let r(j) = -991*j**2 + 2031*j. Let c(f) = -13*b(f) - 12*r(f). Find the second derivative of c(s) wrt s.
-1930
Find the third derivative of 117*n**3 - 333*n**2 + 744*n**3 + 1