(f) wrt f.
48*f - 2
Let i(t) be the second derivative of 731*t**5/20 + 63*t**3/2 - t**2 + 1305*t. Find the second derivative of i(u) wrt u.
4386*u
Let a be 3/(-9) - (-156)/36. What is the first derivative of -30*o**a - 31 + 68*o**4 + 56*o**4 wrt o?
376*o**3
Let g = -427 - -441. Find the first derivative of -25883*l - l**2 + 25883*l - g*l**2 + 117 - 4*l**4 - 19*l**2 wrt l.
-16*l**3 - 68*l
Let l(y) = -y**2 + 1. Let s(h) = -3460*h**3 + 735*h**2 - 3*h - 4. Let p(z) = 4*l(z) + s(z). What is the third derivative of p(i) wrt i?
-20760
What is the third derivative of -7 - 58 + 34 + 3*o**3 + 1389*o**2 - 26*o**5 + 31 wrt o?
-1560*o**2 + 18
Let l(t) = t**2 + 19*t - 48. Let k be l(-21). Let y be (4 + (17 - -3))/(k/(-4)). Find the second derivative of -16 + y + 8*h**3 - 13*h wrt h.
48*h
What is the first derivative of 3932*c**2 - 1182 - 309 - 1281 + 1029*c**2 + 888 wrt c?
9922*c
Let m(t) = 2*t**3 + 17*t**2 + 4*t - 8. Let u be m(-8). Find the first derivative of -u - 344*y + 183*y + 234*y wrt y.
73
Let k(a) be the first derivative of 51*a**4/2 - 3*a**3 + 847*a - 2362. What is the first derivative of k(p) wrt p?
306*p**2 - 18*p
Let u(h) be the third derivative of 493*h**6/15 + h**5/30 + h**4/8 + 287*h**3/3 + 174*h**2 + 3. What is the third derivative of u(s) wrt s?
23664
What is the first derivative of -2*c + 5413*c**3 - 4653*c**3 + 696 + 296 wrt c?
2280*c**2 - 2
Let g(d) = -d**2 + 9*d - 10. Let w be g(5). Suppose 26 = 4*o + w. What is the first derivative of -8 - 9*r**o + 4*r**4 + 3 wrt r?
-20*r**3
Suppose 0 = 6*v - 116 + 86. What is the third derivative of -5*t**v + 3 + 5070*t**2 + 129*t**5 - 5075*t**2 wrt t?
7440*t**2
Suppose 2*t + 35 = -19. Let z be t/(-18)*(1 - -5). Find the first derivative of z + 43*s**2 - 10*s**3 - 43*s**2 wrt s.
-30*s**2
Suppose -3*s + 5*i = -37, 0*i - 4*i - 12 = 2*s. Suppose -38 - 42 = -s*f. What is the third derivative of -f*c**4 + 25*c**2 - 10*c - c + 11*c wrt c?
-480*c
Find the first derivative of -3482 + 77165*l - 77178*l + l**3 - 46*l**3 wrt l.
-135*l**2 - 13
What is the third derivative of 33*z - 8*z + 7*z + 13 + 1293*z**4 + 254*z**4 + 10196*z**4 - 3*z**2 wrt z?
281832*z
Let b(n) be the first derivative of 34*n**5/5 - n**4/2 + 31*n**3/3 + 26*n**2 - 7069. What is the third derivative of b(c) wrt c?
816*c - 12
Let p = 42 - 40. Suppose 4*n = 4*j + 20, 4*j - 3*j + 8 = p*n. Find the third derivative of 8*l**3 - 3*l**2 + 142 + 9*l**n - 142 wrt l.
102
Let l(j) = 118*j**3 + 169*j**2 + 132*j. Let c(x) = -118*x**3 - 169*x**2 - 114*x. Let p(q) = -7*c(q) - 6*l(q). Find the third derivative of p(s) wrt s.
708
Suppose -5*o - 1 = 2*y, 2*o + 2*o = -4*y + 4. Let i be (18 - 17)/(o/(-10)). What is the derivative of 0 + 12*w**3 - 2 + 4 - i wrt w?
36*w**2
Let t(l) = 2267*l**3 + 4863*l**2 - 9. Let a(z) = -567*z**3 - 1216*z**2 + 2. Let f(w) = 9*a(w) + 2*t(w). What is the third derivative of f(r) wrt r?
-3414
Let y(k) be the second derivative of 33/2*k**2 + 1/6*k**4 - 37/20*k**5 + 0*k**3 + 115*k - 2. Differentiate y(r) wrt r.
-111*r**2 + 4*r
Let o(q) be the third derivative of -q**8/168 - 25*q**7/14 - q**4/8 + q**3/3 - 3*q**2 + 18. What is the second derivative of o(d) wrt d?
-40*d**3 - 4500*d**2
Suppose 2*t - 3*f - 1 = -4*f, -2*t = -3*f - 13. What is the third derivative of -60*s**2 - 73*s**3 - 27*s**t + 26*s**2 - 41*s**2 wrt s?
-438
Let r(f) = f**4 + f**3 - 4*f**2 + 1. Let v(w) = -1435*w**4 - w**3 + 4*w**2 + 1632. Let n(h) = -r(h) - v(h). What is the first derivative of n(j) wrt j?
5736*j**3
Let d(z) be the second derivative of 735*z**4/4 - 989*z**2 + 103*z + 3. Differentiate d(w) with respect to w.
4410*w
Let x(h) = -1695*h**3 - 6*h**2 + 3455. Let s(c) = 3387*c**3 + 10*c**2 - 6914. Let b(m) = 3*s(m) + 5*x(m). Differentiate b(w) with respect to w.
5058*w**2
Let o = 64 + -69. Let y = o + 23. What is the second derivative of 12*f - 5*f**2 + 5*f**2 + 21*f + y*f**5 wrt f?
360*f**3
Let z(n) be the first derivative of 2*n**5/5 - 793*n**3/3 + n**2/2 - 4207*n + 1100. What is the first derivative of z(g) wrt g?
8*g**3 - 1586*g + 1
Let n(s) = -5*s**2 + 9*s - 5*s + 6*s**2. Let y be n(-4). What is the third derivative of -11*a**2 - a**3 + y*a**3 + a**3 + 12*a**6 wrt a?
1440*a**3
Find the first derivative of 568*n**2 - 2007*n**2 - 341*n**2 - 12269 - 3051*n**2 wrt n.
-9662*n
Let j(d) = -3*d + 29. Let z be j(9). Find the third derivative of z*x**2 + 972*x**5 - 593*x**5 - 7 - 11 - 465*x**5 wrt x.
-5160*x**2
What is the second derivative of 12499*g**5 - 1458*g - 5704*g**5 - 4514*g**5 wrt g?
45620*g**3
What is the second derivative of b**3 + 340*b - 2040*b**4 - 165*b - b**2 - 218 - 3*b - 164*b wrt b?
-24480*b**2 + 6*b - 2
Let i(v) be the first derivative of 46*v**3 + v**2 - 2094*v - 92. Differentiate i(r) with respect to r.
276*r + 2
What is the third derivative of 9*c**6 + 15*c + 24*c**2 - c**4 - 99*c + c**4 - 7*c**2 + 10*c**4 wrt c?
1080*c**3 + 240*c
Let s(j) be the second derivative of 3*j**6 + 3*j + 0*j**5 + 0*j**4 - 2 + 3/2*j**2 - 2/3*j**3. What is the second derivative of s(x) wrt x?
1080*x**2
Let r(h) be the first derivative of -11*h + 114 + 27/2*h**4 + 0*h**3 + 0*h**2. What is the derivative of r(t) wrt t?
162*t**2
Let p be (8 - 2)/(-2) - (-11 - -5). What is the third derivative of 290 - 74*l**p + 294 + 2*l**2 - 587 wrt l?
-444
Let n be (-82)/6*4 - 4/12. Let m = 58 + n. Find the first derivative of -7 - 5*g**m + g**3 - 5 + 14*g**3 wrt g.
30*g**2
Let z be (384/192)/(0 + -2 - 0)*0. Let v(f) be the first derivative of -16 + 0*f - 11/4*f**4 + z*f**3 - 3/2*f**2. Find the second derivative of v(p) wrt p.
-66*p
Let s(h) = -963*h**4 + 5*h**2 - 4*h + 7840. Let m(f) = -483*f**4 + 2*f**2 - f + 3921. Let g(q) = 5*m(q) - 2*s(q). What is the derivative of g(t) wrt t?
-1956*t**3 + 3
Let q = 10 + -22. Let y be (-16)/(1 - -3) - q. Find the third derivative of -13*f**2 + 7*f**3 - y*f**3 - 11*f**3 wrt f.
-72
Let u(h) be the second derivative of 0*h**2 - 11/3*h**3 + 96*h + 0 - 1/3*h**4 + 7/10*h**5. Find the second derivative of u(r) wrt r.
84*r - 8
Let t(x) be the first derivative of -23*x**4/4 + 26*x**3/3 - 5*x**2/2 + 154*x - 772. Find the second derivative of t(k) wrt k.
-138*k + 52
Let i(w) = -w**3 - 9*w**2 - 13*w + 17. Let a be i(-8). Let v = a + -55. Find the third derivative of 2*o**3 + o**2 - 7*o**2 + o**v - 4*o**3 wrt o.
-12
Let r(x) be the first derivative of 268*x**3 + 3299*x**2/2 + 118. What is the second derivative of r(i) wrt i?
1608
Let o(f) be the second derivative of -704*f**7/21 - 851*f**3/6 + 20*f - 5. What is the second derivative of o(q) wrt q?
-28160*q**3
What is the second derivative of 2*s - 16 + 5822*s**2 - 5 + 6302*s**2 - 10513*s**2 wrt s?
3222
Suppose -6*f + 10 + 14 = 0. Let h(r) = 5 - 15*r**f + 7 - 3*r + 23*r**4. Let z(k) = 17*k**4 - 5*k + 25. Let j(y) = 5*h(y) - 3*z(y). Differentiate j(q) wrt q.
-44*q**3
Let o(x) be the first derivative of 1880*x**3 + 4351*x**2/2 - 5429. Find the second derivative of o(s) wrt s.
11280
Let h(d) be the second derivative of 0*d**7 + 0*d**3 + 15/28*d**8 + 47/2*d**2 + 0*d**6 + 0*d**5 - 1/12*d**4 + 0 + 76*d. Find the third derivative of h(o) wrt o.
3600*o**3
Let x be -3 + 0 - (-12 + 98). Let r = 110 + x. Differentiate 6 + 21 + 23*u - r*u**3 - 23*u with respect to u.
-63*u**2
Let d(i) = -2*i**2 + 46*i + 5. Let p be d(23). What is the second derivative of -114*g + 212*g + 2*g**2 - 14*g**p - 28*g wrt g?
-280*g**3 + 4
Let x(p) be the third derivative of -1/24*p**4 + 1/35*p**7 - 35/3*p**3 + 0*p + 0*p**5 + 0*p**6 + 22 - 2*p**2. What is the derivative of x(f) wrt f?
24*f**3 - 1
Find the second derivative of -18353*s**3 + 18*s + 19595*s**3 - 13 + 2 + 6*s wrt s.
7452*s
Let j(u) be the second derivative of 0*u**7 + 0*u**6 - 3*u + 0*u**5 + 0*u**3 + 0*u**2 + 2 - 37/28*u**8 + 3*u**4. Find the third derivative of j(g) wrt g.
-8880*g**3
Let l(b) be the second derivative of -22*b**2 + 43 - 3*b + 31/6*b**3. Differentiate l(u) wrt u.
31
Let u be (5/(-1))/((-3)/(-18)*-1). What is the third derivative of -47*v**2 + u*v**2 - 2*v**4 + 2*v**5 - v**5 wrt v?
60*v**2 - 48*v
Suppose -8*h + 279 = 239. Let m(d) = -46*d**3 + 101*d. Let i(r) = 92*r**3 - r**2 - 205*r. Let v(a) = h*m(a) + 3*i(a). Find the second derivative of v(q) wrt q.
276*q - 6
What is the second derivative of 7307 + 1993*n**2 - 14611 + 7307 - 195*n wrt n?
3986
Find the third der