j
Let g(i) = 3*i**2 + 20*i + 16. Let f be g(-6). What is the third derivative of -4*a + 2*a**4 + 4*a - a**3 + 4510 + 2*a**2 - a**f - 4467 wrt a?
24*a - 6
Let g(r) = r + 2. Let d(i) be the first derivative of -153*i**2/2 + 157*i - 146. Let h(t) = -d(t) - 3*g(t). Differentiate h(p) wrt p.
150
What is the third derivative of -5168*b**2 + 2063*b**3 + 106*b**4 + 831*b**4 - 4122*b**3 + 687*b**4 + 2056*b**3 wrt b?
38976*b - 18
Suppose 12 = -4*x, -5*x = 5*h - 2*x - 16. Suppose y - 6*y + 10 = 0. Find the third derivative of -2*z**5 + 0*z**h + 16*z**y + 0*z**5 - 2*z**2 wrt z.
-120*z**2
Let t(y) = -1322*y**3 - 127*y**2 + 4*y + 6. Let v(q) = 1321*q**3 + 128*q**2 - 6*q - 9. Let l(f) = 3*t(f) + 2*v(f). Find the third derivative of l(k) wrt k.
-7944
Let d(h) = -h**4 - h**3 - 2*h**2 + 2*h - 1. Let n(r) = 524*r**4 + 3*r**3 + 6*r**2 - 6*r - 778. Let k(g) = 3*d(g) + n(g). Differentiate k(w) with respect to w.
2084*w**3
Let j(b) be the third derivative of 2017*b**8/336 + b**5/60 - 88*b**3 + 1178*b**2. What is the third derivative of j(z) wrt z?
121020*z**2
Let y(u) be the second derivative of 29*u + 1/3*u**3 - 3/14*u**7 + 0*u**5 - 17/12*u**4 + 0*u**6 + 0*u**2 + 0. What is the third derivative of y(d) wrt d?
-540*d**2
Let a(k) be the second derivative of 0*k**4 + 45 - 49/2*k**2 + 2*k - 1/3*k**3 - 69/5*k**5. Find the second derivative of a(o) wrt o.
-1656*o
Suppose 3*y + 14 = 20. Let n = y + 1. What is the derivative of 51*i + 16*i**3 + n - 5 - 51*i wrt i?
48*i**2
Let n be (-2)/(-4) + (-22)/(-4). Suppose -2*j = n*j - 32. What is the first derivative of -j*d**2 + 13*d**2 + 19 - 6 wrt d?
18*d
Let s(h) = 2*h**2 + h + 1. Let b(k) = 86*k**2 + 5*k - 156. Let w = 493 + -492. Let t(f) = w*b(f) - 5*s(f). What is the first derivative of t(o) wrt o?
152*o
Let i(u) = -14*u - 539. Let n(c) = -c - 36. Let q(k) = -6*i(k) + 91*n(k). Let d be q(-7). What is the second derivative of -d*j - 30*j**5 + 2*j**5 - 2*j wrt j?
-560*j**3
Let j be (-66)/(-48) + 9/24*-1. Let r(k) = -1. Let d(c) = -93*c**2 + 14*c - 2. Let v(y) = j*d(y) - 6*r(y). What is the second derivative of v(w) wrt w?
-186
Let f = -64 + 61. Let d be -681*1/f - 0. What is the first derivative of -227*a - 14 + d*a + 21*a**2 wrt a?
42*a
Let g(l) be the second derivative of -l**7/21 - 14*l**6/15 + 3*l**5/20 + 9*l**4/2 + 17*l**2/2 + 2*l - 3844. Find the third derivative of g(h) wrt h.
-120*h**2 - 672*h + 18
Let m be (18/(-21))/(10/(-70)). What is the third derivative of -2 - w**6 + 3 + 4*w**2 + 474*w**5 - 473*w**5 - 22*w**m wrt w?
-2760*w**3 + 60*w**2
Let x(y) be the second derivative of 1049*y**8/28 + 7*y**4/12 + 13*y**3/2 - 438*y + 2. Find the third derivative of x(a) wrt a.
251760*a**3
Let w(h) be the second derivative of -59*h**6/30 - h**4/12 - h**3/2 - 407*h**2/2 - 489*h. What is the second derivative of w(v) wrt v?
-708*v**2 - 2
Suppose -4*i + 9 = -7. Suppose -b - 15 = -i*b. What is the second derivative of 3*k**5 + 5*k**5 + 17*k**b - 7*k wrt k?
500*k**3
Let o(v) be the first derivative of -3*v**5 - 3 - 18 + 8*v**5 - 92*v - 31. Differentiate o(p) with respect to p.
100*p**3
Let u(g) be the first derivative of -13*g**5/5 + 31*g**4/4 + 9*g**2/2 + 30*g - 2565. What is the second derivative of u(o) wrt o?
-156*o**2 + 186*o
Let l(c) be the second derivative of -3537*c**6/10 + c**3/6 - 1483*c**2 + 11191*c. Find the second derivative of l(w) wrt w.
-127332*w**2
Let g = -2 - -2. Suppose g = 4*r - 10 - 10. What is the second derivative of -88*u**5 + 4*u - 15*u + 75*u**r wrt u?
-260*u**3
Let b(u) be the first derivative of 0*u - 3/4*u**4 + 0*u**5 + 0*u**3 - 102 + 215/2*u**2 + 11/3*u**6. Find the second derivative of b(p) wrt p.
440*p**3 - 18*p
Differentiate -252 + 27482*p - 21811*p - 363 wrt p.
5671
Let w(s) be the first derivative of -23*s + 0*s**3 + 0*s**2 - 33 - 39/4*s**4. Differentiate w(n) with respect to n.
-117*n**2
Let j be 12 + 5/((-10)/6). Suppose -j*h + 136 = -116. What is the second derivative of h - 28 - 5*n**3 - 3*n - 5*n**3 wrt n?
-60*n
What is the third derivative of 173*b**6 + 2 + 451*b**5 - 2117*b**2 - 103*b**6 - 100*b**2 + 492*b**2 - 73*b**6 wrt b?
-360*b**3 + 27060*b**2
Let a = -33 - -55. Differentiate 29 - a + 3*n**2 - 7*n**3 + 42 wrt n.
-21*n**2 + 6*n
Let b be 2/25 - 4/((-200)/146). Find the first derivative of -341 - 364*v**b - 379*v**3 + 1046*v**3 wrt v.
909*v**2
Let p(y) = -y**3 - 6*y**2 + 2*y + 14. Let d be p(-6). What is the derivative of 40*x + 16*x**d - 17*x**2 - 3 - 24 - 10 wrt x?
-2*x + 40
Let b(x) = -622*x**3 + 8*x**2 + 20*x + 2. Let v be b(-6). Find the third derivative of 139*p**5 + 102*p**2 - v + 134522 wrt p.
8340*p**2
Let w(m) = -m**3 - 11*m**2 - 12*m - 2. Let n be w(-10). Find the second derivative of n*t**3 + t - 62 + 69 - 55 wrt t.
108*t
Let y = 599 - 591. What is the second derivative of -66*f**2 + 98*f - 21*f**2 - 26*f + y*f**2 - 7*f**2 wrt f?
-172
Let c(r) be the first derivative of -33*r**2 - 14320*r - 48*r**4 + 14320*r + 6 - 76. Find the second derivative of c(n) wrt n.
-1152*n
Find the third derivative of 0 - 3*k**2 + 3 + 4 + 9 - 12 - 2549*k**4 - 97*k wrt k.
-61176*k
Let z(w) be the first derivative of -25/4*w**4 + 6 - 60*w + 0*w**3 - 1/2*w**2. What is the second derivative of z(s) wrt s?
-150*s
Let y(p) = -2*p**3 - 15*p**2 + 50*p + 2. Let v be y(-10). Find the first derivative of -115 - 11 - 41*c**3 - 18*c**v - 90 + 18*c**2 wrt c.
-123*c**2
Let l(f) = -f**3 - 3*f**2 + 12*f - 31. Let v(k) = -2*k**2 - 11*k + 30 + 0*k**2 + 4*k**2. Let x(g) = 2*l(g) + 3*v(g). What is the first derivative of x(z) wrt z?
-6*z**2 - 9
Let c be ((-56)/16)/((-35)/20). Find the third derivative of -55*z**2 + 49*z**6 + 118*z**c + z - 19*z**6 - 61*z**2 wrt z.
3600*z**3
Let t = -20 - -10. Let s be (-148)/(-5) + 5/((-125)/t). What is the third derivative of 917 - 9*u**2 + s*u**5 - 917 wrt u?
1800*u**2
Let z(l) = l**2 + 15*l - 9. Let d be z(-17). Find the first derivative of -9*y**2 - 13*y**2 + 11 + d*y**2 + 67 - 7*y wrt y.
6*y - 7
Let d(b) = 23*b**2 - 5*b - 26*b**2 + 3 - b**3 + b + 2*b. Let n be d(-5). What is the first derivative of -3 - n*v + 73*v - 3 - 1 wrt v?
10
What is the third derivative of 0*z**2 + 221*z - 25*z**2 + 190*z**6 - 3*z**5 + 2*z**5 - 156*z - 4462*z**6 wrt z?
-512640*z**3 - 60*z**2
Let d(s) be the first derivative of 12*s**5/5 - 4*s**3/3 + s**2/2 - 13*s + 599. Find the second derivative of d(v) wrt v.
144*v**2 - 8
What is the second derivative of 30*q**4 + 25*q**4 + 65*q**4 + 8*q**4 + q**5 - 155 + 3*q - 4*q wrt q?
20*q**3 + 1536*q**2
Let s = -539 - -543. What is the first derivative of -7*o**s - 3*o**4 - 1370*o + 1372*o + 5 wrt o?
-40*o**3 + 2
Suppose -47*q = -50*q + 45. Find the third derivative of -19*r**4 - q*r**4 + 9*r**4 - 64*r**2 wrt r.
-600*r
Suppose 1456 - 1912 = -6*l. What is the second derivative of -l*y + 2234*y**4 - 1 + 2*y**3 + 2226*y**4 - 4429*y**4 wrt y?
372*y**2 + 12*y
Let g(r) = -925*r**3 - 4082*r**2 + 16*r - 40. Let o(y) = y**3 + y**2 + 2*y - 5. Let d(k) = -g(k) + 8*o(k). Find the third derivative of d(s) wrt s.
5598
Let p(f) = -3*f**2 + 42 - 2*f**2 - 288*f + 353*f. Let x(q) = 14*q**2 - 197*q - 125. Let l(j) = 8*p(j) + 3*x(j). Differentiate l(a) with respect to a.
4*a - 71
Let s be 2/3 + 26/(-39). Let j be 25 - (-4 + s - -6). Find the second derivative of 20 + j*r - 11*r**2 - 5 - 15 wrt r.
-22
Let b = -184 + 189. Let x(v) = 3*v**2 + 30*v + 37. Let a(g) = 4*g**2 + 30*g + 37. Let s(k) = b*a(k) - 6*x(k). What is the derivative of s(y) wrt y?
4*y - 30
Suppose 5*j = -18 - 72. Let q(a) = -7 + 4 - 11 + 31*a - 2. Let u(f) = -8*f + 4. Let p(s) = j*u(s) - 4*q(s). Differentiate p(x) with respect to x.
20
Let h(u) be the second derivative of -47*u**6/10 - u**3/6 + 1031*u**2 - 273*u - 1. Differentiate h(z) with respect to z.
-564*z**3 - 1
Suppose 0 = -j - 5*h - 3, -5*j + 2*j + 5*h + 11 = 0. Suppose 3*l - 20 = -j*l. Differentiate -3*v**l - 10 + 32 - 3*v**4 - 16*v**4 with respect to v.
-88*v**3
Let a be -2 - (-3 - 45/3). Let s be (-36)/(-6) + 0/4. Find the second derivative of -7*n + s*n**2 + n + a*n + 11*n wrt n.
12
Let v(n) be the third derivative of 122*n**7/105 - 9*n**4/8 - 456*n**2. What is the second derivative of v(q) wrt q?
2928*q**2
Suppose 3*t - 22 = 92. Suppose 29 = -r + t. Find the second derivative of 9*k - 11*k - 8*k + r*k**3 wrt k.
54*k
Let j = 206 - 202. Let b(w) = -w**2 - 5