3 + 2
Find the second derivative of 8627*q - 194*q**3 + 389*q**3 - 195*q**3 - 8348*q**4 wrt q.
-100176*q**2
Let z(q) be the second derivative of -8/5*q**5 + 0 - 91*q - 39/2*q**2 - 1/12*q**4 + 0*q**3. Find the first derivative of z(w) wrt w.
-96*w**2 - 2*w
Let w(z) = -40*z - 162. Let b be w(-4). Let h(a) = 134*a + 236. Let p(t) = 67*t + 119. Let d(s) = b*h(s) + 5*p(s). Find the first derivative of d(r) wrt r.
67
Let v(h) be the third derivative of -209*h**9/252 + h**5/30 - 223*h**3/2 + 2088*h**2. Find the third derivative of v(d) wrt d.
-50160*d**3
Let u be (-75)/(-175) + 6574/14. Find the third derivative of -t**3 - t**3 - u*t**4 - 82*t**2 + 471*t**4 wrt t.
24*t - 12
Let w(b) = 49*b**2 - b - 2. Let p be w(-1). Let d = p - 43. What is the third derivative of -5*m**5 - 4*m**2 - m**2 + 6*m**d - 2*m**2 wrt m?
60*m**2
Let o = 18977/3 - 6321. Let a(r) be the first derivative of 0*r**2 - o*r**3 + 18*r - 9. Differentiate a(z) wrt z.
-28*z
Let n be (13 - 98)*(-28)/210. Let b(z) be the first derivative of 0*z**2 - 6*z**4 - n*z**3 + 0*z - 16. Find the third derivative of b(g) wrt g.
-144
Find the second derivative of -2419 + 344*c**3 + c - 2*c - c - 7*c**2 + 408*c**3 + 1735 wrt c.
4512*c - 14
Suppose 0 = -3*u - 89 + 119. What is the third derivative of 6*k**2 + u*k**6 - 4*k**6 - 331 + 327 wrt k?
720*k**3
Let n(z) = -2397*z - 1072. Let i(w) = -2415*w - 1070. Let m(r) = 7*i(r) - 6*n(r). Find the first derivative of m(c) wrt c.
-2523
Let n(f) be the third derivative of 313*f**5/20 + 203*f**4/12 - f**3/6 + f**2 - 53*f. What is the second derivative of n(g) wrt g?
1878
Suppose -207*t - 36 = -216*t. Differentiate -133*g**3 + 35 + 133*g**3 - 6 + 102*g**t wrt g.
408*g**3
Let h(m) = -18*m**5 - 30*m**4 - 6*m**3 - 44. Let s(g) = -g**5 - g**4 - g**3 - g + 1. Let i(b) = -h(b) + 6*s(b). What is the second derivative of i(u) wrt u?
240*u**3 + 288*u**2
Suppose -21 = -17*z + 14*z. Find the second derivative of -17*t + 6*t + 28*t**4 - 56*t - z*t**4 wrt t.
252*t**2
Let b(k) = 76*k**3 + 5*k - 42. Let t(x) be the first derivative of -75*x**4/4 - 2*x**2 + 43*x + 68. Let p(c) = -3*b(c) - 4*t(c). Differentiate p(d) wrt d.
216*d**2 + 1
Let p(n) = 5*n - 12. Let k be p(5). Let f = k + -9. Find the third derivative of c**f + 101*c**6 - c**4 - 95*c**6 - 21*c**2 wrt c.
720*c**3
Let b(z) = -8262*z + 5249. Let w(g) = 12395*g - 7875. Let t(u) = 7*b(u) + 5*w(u). Find the first derivative of t(s) wrt s.
4141
Let t(m) be the third derivative of 101*m**8/56 + 7*m**5/60 - 6*m**4 + 13*m**2 + 30*m. What is the third derivative of t(o) wrt o?
36360*o**2
Let c(w) = -7*w - 659. Let o(f) = 2*f**2 - 10*f - 659. Let r(d) = -3*c(d) + 2*o(d). Differentiate r(m) wrt m.
8*m + 1
Let h be 10 - -6*4/8. Let g(c) = -2*c + 30. Let m be g(10). What is the first derivative of -6 + h*b**3 - 1 + m wrt b?
39*b**2
Let b(l) be the first derivative of 409*l**2/2 + 1415*l + 988. Find the first derivative of b(u) wrt u.
409
Let u(q) = -q**3 + 33*q**2 - 31*q - 27. Let d be u(32). Find the second derivative of -19*z + d + 56*z**2 + 0 - 134*z**2 wrt z.
-156
Suppose l + 6 = 2*j + 2, -8 = -4*j - 4*l. Differentiate 3*g**j - 14*g**2 + 119*g**2 + 63 + 29 with respect to g.
216*g
Let k = 348629/12 - 29052. Let j(p) be the second derivative of 0 + 11/20*p**5 + 0*p**2 + 32*p + 0*p**3 - k*p**4. Find the third derivative of j(n) wrt n.
66
Let u = 116 + -114. What is the second derivative of c**u - 46*c**3 + 11*c**3 - 109*c + 77*c**3 wrt c?
252*c + 2
Let m(w) be the first derivative of 14044*w**5/5 + 2951*w**3/3 + w - 11661. What is the third derivative of m(x) wrt x?
337056*x
Let w(l) = 2*l**5 + 24*l**4 - 604*l**3 + 663*l - 8. Let h(r) = 3*r**4 - r**3 - 1. Let c(u) = -8*h(u) + w(u). What is the second derivative of c(f) wrt f?
40*f**3 - 3576*f
Let u(l) be the second derivative of -l**7/14 - 29*l**6/30 + 463*l**4/6 - 65*l - 5. What is the third derivative of u(i) wrt i?
-180*i**2 - 696*i
Let p(b) be the second derivative of 0*b**3 + 0*b**4 + 163/20*b**5 + 78*b + 0 - 145/2*b**2. Differentiate p(t) with respect to t.
489*t**2
Suppose o - 113 = -0*j - 2*j, 0 = 5*j + 5*o - 270. What is the first derivative of -76*p + j - 30 - 22 wrt p?
-76
Let q(u) be the first derivative of -300*u**5 + 139*u**2/2 - 1178. What is the second derivative of q(r) wrt r?
-18000*r**2
Let p(l) be the third derivative of l**6/60 + l**5/12 + 8*l**4/3 - 8393*l**3/6 + 3829*l**2 - 2. What is the derivative of p(f) wrt f?
6*f**2 + 10*f + 64
Let g(z) be the first derivative of -9/5*z**5 + 0*z**3 + 151 + 0*z**2 - 3*z**4 - 143*z. What is the derivative of g(x) wrt x?
-36*x**3 - 36*x**2
Differentiate 1936*o - 441*o + 474*o + 314*o + 4117 wrt o.
2283
Differentiate -52*d - 13*d**3 - 10*d**3 + 5*d**3 + 25*d**3 + 1658 with respect to d.
21*d**2 - 52
Let t(q) be the second derivative of -2*q**3/3 + 21*q**2 - 19*q. Let n be t(10). What is the first derivative of -4 - 18 + 1 - 6*v**n + 0 wrt v?
-12*v
What is the second derivative of 240*v**2 - 304*v + 157*v - 182*v + 983*v**2 wrt v?
2446
Let g(f) be the second derivative of 0*f**6 - 5/6*f**4 - 7*f + 0*f**2 + f**5 + 5/6*f**3 + 1/21*f**7 - 3. Find the third derivative of g(m) wrt m.
120*m**2 + 120
Let c(p) = -p**3 - p**2 + 13*p + 12. Let i be c(-5). Find the second derivative of -47 - 283*f + 129*f**4 + i - 39*f wrt f.
1548*f**2
Let a(s) be the third derivative of -17/12*s**4 + 65*s**2 - 1/3*s**3 - 11/60*s**5 + 1/120*s**6 + s + 0. What is the second derivative of a(y) wrt y?
6*y - 22
Let j = -22 - -30. Suppose j*t + 0*t = 48. Differentiate -9 - 8 + t*p**4 - 3 - 1 wrt p.
24*p**3
What is the third derivative of 7398*u**6 - 4724*u + 2353*u + 4951*u**2 + 2371*u + u**5 + u**5 wrt u?
887760*u**3 + 120*u**2
Let a(q) be the second derivative of 347*q**4/2 + q**3/3 + 157*q**2/2 - 27*q - 2. Find the second derivative of a(z) wrt z.
4164
Let l(c) be the first derivative of 1568*c**5/5 - 2663*c**2/2 + 9731. What is the second derivative of l(y) wrt y?
18816*y**2
Let b = -7493 + 89929/12. Let j(v) be the third derivative of 0*v + 9*v**2 + 0*v**3 + 0 + 17/30*v**5 - b*v**4. What is the second derivative of j(a) wrt a?
68
Let s(b) = -79*b**3 - b**2 + 2*b + 2. Let f be s(-1). Let t = 80 - f. Differentiate -1 + 3 - 218*p**t - 239*p**2 + 489*p**2 with respect to p.
64*p
Suppose -5*m + 2*x - 380 = 0, 0*x + 76 = -m - 4*x. Let q = -74 - m. Find the third derivative of i**q - 14*i**2 + 31*i**4 - 5*i**2 + 0*i**2 wrt i.
744*i
Let j(q) be the first derivative of 12849*q**5/5 + 1827*q - 3980. What is the derivative of j(m) wrt m?
51396*m**3
Let k(b) = -b**2 - 9*b + 12. Let z be k(-5). Suppose 0 = 17*x - z*x + 150. Find the first derivative of 24*g**2 - 20 - 15 + x wrt g.
48*g
Let k be 4/(-6)*-3 - 0. Suppose 0 = -67*j + 287 - 19. Find the second derivative of -3*s**j - 8*s + k*s - 2*s wrt s.
-36*s**2
Let p be 12/(-6) + 28 - (1 - 0). What is the third derivative of 3*v**5 - 5*v**2 - 4*v**2 + p*v**3 + 15*v**2 - 5*v**5 wrt v?
-120*v**2 + 150
Let q(c) be the third derivative of 0*c**6 - 6*c - 1/60*c**5 + 0*c**3 + 0 - 7/12*c**4 + 18/35*c**7 - 3*c**2. What is the third derivative of q(j) wrt j?
2592*j
Let l(g) be the first derivative of -19*g**4/4 + 7*g**2/2 + 2309*g + 2735. What is the first derivative of l(u) wrt u?
-57*u**2 + 7
What is the second derivative of -293*o - 19*o**4 + 59*o**4 + 12397863*o**3 - 3*o + o**2 - 12397872*o**3 wrt o?
480*o**2 - 54*o + 2
Let i = 3 + -1. Suppose i*h + 1 = 27. What is the derivative of -26 - 28*l**2 + h*l**2 + 42*l**2 wrt l?
54*l
What is the first derivative of 106 + 1863 + 2606*k + 4053*k - 388 - 393*k wrt k?
6266
Let t(a) = -5223*a**2 - 263*a + 1. Let b(o) = 7834*o**2 + 410*o - 1. Let x(s) = -5*b(s) - 8*t(s). Find the second derivative of x(d) wrt d.
5228
Let v(c) = -4*c**4 + 628*c**3 - 7*c**2 + 55. Let d(n) = -n**4 - 2*n**3 - n**2 + 2. Let b(s) = 3*d(s) - v(s). What is the third derivative of b(t) wrt t?
24*t - 3804
Let w(f) = 131*f**3 + 10*f**2 - 30*f + 404. Let b(a) = -129*a**3 - 9*a**2 + 25*a - 406. Let n(u) = -7*b(u) - 6*w(u). Find the second derivative of n(k) wrt k.
702*k + 6
Let z be (-56)/(-10) - (-165)/(-275). What is the third derivative of -2 + 0*v**3 - 80*v**2 + 3*v**z + 0*v**3 + 2*v**6 - 8*v**5 + 4*v**5 wrt v?
240*v**3 - 60*v**2
Find the first derivative of -1009 + c + c**2 + 2656 + 2885 + 34*c**3 + 5511