394
Let a(o) be the second derivative of -743*o**5/20 + 123*o**2/2 + 31*o - 5. What is the derivative of a(f) wrt f?
-2229*f**2
Suppose 0 = -4*o + 4*w + 692, 22*o + w + 347 = 24*o. What is the second derivative of -o*k**3 - 3*k + 135 + 0*k - 134 wrt k?
-1044*k
Let g be ((-95)/38)/((-1)/2). Find the second derivative of 0*q**3 - 2*q + 128*q**g - q**3 - 67*q**5 + 20 - 60*q**5 wrt q.
20*q**3 - 6*q
Find the third derivative of 47 - 123 + 29*q**2 + 646*q**5 + 57 - q**6 wrt q.
-120*q**3 + 38760*q**2
Suppose -2*b = 4*b - 24. Suppose 2*r = b*k - 19 + 3, -17 = -5*k + 4*r. What is the second derivative of -43*x**5 + 8*x + 45*x**k + 10*x wrt x?
40*x**3
Suppose 4*j - 29 = -3*y, 0 = -13*y + 17*y + j - 43. Differentiate -y*k - 15 - 3*k + 95 + 15*k wrt k.
1
Let j(n) be the third derivative of n**7/70 + 403*n**6/120 - 853*n**5/20 + 8*n**2 + 16*n + 12. What is the third derivative of j(h) wrt h?
72*h + 2418
Let q(h) be the third derivative of 395*h**5/6 - 19*h**4/24 + 101*h**3/6 - 11*h**2 - 4*h + 13. What is the second derivative of q(i) wrt i?
7900
Let t(u) be the third derivative of 0*u + 0*u**7 - 151/60*u**5 - 97/336*u**8 + 0*u**4 + 0*u**3 - 1 - 12*u**2 + 0*u**6. Find the third derivative of t(g) wrt g.
-5820*g**2
Let c = -106 + 110. What is the first derivative of 8 - c + 21*o - 61 wrt o?
21
Let v(u) = 4*u**3 - 3*u**2 + 790*u + 3. Let h(o) = 11*o**2 + 1. Let k(j) = 3*h(j) - v(j). What is the second derivative of k(i) wrt i?
-24*i + 72
Let x(f) be the second derivative of 0*f**2 - 10 + 41/6*f**3 + 2*f + 50/3*f**4. What is the second derivative of x(p) wrt p?
400
Let s be 17 + 2 + -1 + 0. Let n(l) = -72*l - 862. Let o be n(-12). What is the second derivative of 2*g - 3*g - s*g**o + 10*g + 2*g wrt g?
-36
Let r be 6*1/9*18. Suppose -16*m = -20*m + r. Find the first derivative of 19*j**3 - 6*j**3 - 9*j**3 + 14*j**m + 9 wrt j.
54*j**2
Suppose -5*y + 22 - 7 = 0. What is the first derivative of 43 + 5*d**y - 13*d**3 - 29 - 6*d**3 wrt d?
-42*d**2
Let s(b) = 2*b**4 - b. Let f(y) = 46*y**4 + 6*y**3 + 1624*y. Let x(k) = -f(k) + 5*s(k). What is the second derivative of x(n) wrt n?
-432*n**2 - 36*n
Let z(q) be the second derivative of 0 - 1/20*q**5 + 94/3*q**3 + 0*q**4 - 119*q + 0*q**6 + 0*q**2 - 47/42*q**7. Find the second derivative of z(c) wrt c.
-940*c**3 - 6*c
Find the third derivative of -3 - 34*a**3 + 657*a + 389*a**2 - 657*a + 24*a**3 + 57*a**6 wrt a.
6840*a**3 - 60
Let c(n) = 4*n**4 + 5*n**2 + 134*n - 3103. Let u(w) = -w**4 - w**2 - 4*w. Let o(a) = c(a) + 3*u(a). What is the derivative of o(p) wrt p?
4*p**3 + 4*p + 122
Suppose -329 + 614 = 5*m. What is the second derivative of -83*j**2 - 71 + m + 83*j**2 + 6*j**5 + 2*j wrt j?
120*j**3
Let v(z) be the third derivative of 27/20*z**5 + 0 + 0*z**4 + 0*z**3 + 45*z**2 - 3/14*z**8 + 0*z**6 + 0*z**7 + 0*z. Find the third derivative of v(o) wrt o.
-4320*o**2
Let s(g) = 4*g**4 - 5*g**2 + 104*g - 980. Let m(l) = l**4 - l**2 + l - 1. Let n(p) = -5*m(p) + s(p). What is the derivative of n(v) wrt v?
-4*v**3 + 99
Let m(x) = 21*x**2 + x + 2. Let f be m(-1). Let j = f - 13. Differentiate j + 9 - 3 - 9*b**4 with respect to b.
-36*b**3
Suppose -4*t = -54*t + 200. What is the second derivative of -2*q**2 + 29*q**2 - 5*q - 12*q**t - 4*q**2 - 13*q**2 - 5*q**2 wrt q?
-144*q**2 + 10
Suppose f = a + 35 + 31, 0 = -a + 3. Let g = f - 59. Find the third derivative of -14*x**4 + g*x**2 + 7*x**2 - 20*x**2 wrt x.
-336*x
Find the first derivative of -547 - 443915*w**3 + 443915*w**3 + 1583*w**4 wrt w.
6332*w**3
Let r(m) be the third derivative of -1/3*m**3 + 135 + 0*m - 23/5*m**5 + 101/12*m**4 + 2*m**2. What is the second derivative of r(t) wrt t?
-552
Let p(u) be the first derivative of -998*u**3/3 + 194*u - 951. Find the first derivative of p(v) wrt v.
-1996*v
Let m(y) be the third derivative of y + 1/30*y**5 + y**2 - 1/40*y**6 + 0 + 0*y**3 - 23/8*y**4. Find the second derivative of m(q) wrt q.
-18*q + 4
Let m(h) be the third derivative of h**6/60 + 11*h**4/24 + 695*h**3/3 + 2*h**2 + 4016. Differentiate m(s) with respect to s.
6*s**2 + 11
Let z(t) = 7*t**5 + 49*t**3 - 47*t. Let k(r) = 4*r**5 + 25*r**3 - 24*r. Let n = -66 + 71. Let v(j) = n*k(j) - 3*z(j). Find the second derivative of v(s) wrt s.
-20*s**3 - 132*s
Let u be -3*(-45)/6*2. Suppose -4*f + 4 - 24 = 0, -2*v + u = f. What is the derivative of -16 + 10*i + v - 12 wrt i?
10
Let b(x) be the second derivative of 6263*x**5/10 - x**4/2 - 109*x**3/6 - 245*x + 4. Find the third derivative of b(f) wrt f.
75156
Suppose -1333*s + 1338*s - 2 = 58. Let g(b) be the first derivative of 0*b + 0*b**3 - 9/2*b**4 - 15 - s*b**2. Find the second derivative of g(j) wrt j.
-108*j
Let y(r) = 994*r**2 - 8*r - 20. Let h(p) = 1990*p**2 - 15*p - 45. Let m(d) = -2*h(d) + 5*y(d). Find the second derivative of m(u) wrt u.
1980
Let r(a) be the first derivative of -51 + 4*a**5 + 0*a**3 + 1/4*a**4 + 25*a + 0*a**2. What is the derivative of r(v) wrt v?
80*v**3 + 3*v**2
Find the third derivative of 19004245*n - 1600*n**2 + 1029*n**3 - 19004245*n wrt n.
6174
Suppose -2*o + 3*o + 5*y - 3 = 0, -3*y + 15 = 5*o. Suppose 0 = -o*n + 26 - 2. Differentiate 22 + n*c**2 + 15*c**2 + 1 with respect to c.
46*c
Let a be 0 + 32/6 - (-14320)/8592. Let i(d) be the third derivative of 0 + 7/60*d**6 + 0*d + 0*d**5 + 0*d**4 - 21*d**2 - a*d**3. Differentiate i(l) wrt l.
42*l**2
Let d = -66 + 68. Suppose 5*i = 2*y + 29, -i = -3*i - d*y + 6. What is the third derivative of 4*c - 4*c - 19*c**2 - 6*c**i - 3*c**5 wrt c?
-540*c**2
Let r(l) = 115*l**2 + 5*l - 8263. Let u(y) = -242*y**2 - 13*y + 16526. Let i(f) = -9*r(f) - 4*u(f). Differentiate i(g) with respect to g.
-134*g + 7
Let c(f) be the second derivative of 1/30*f**6 + 0 + 0*f**2 + 11/12*f**4 + 7/10*f**5 - 1/6*f**3 + 76*f. What is the third derivative of c(n) wrt n?
24*n + 84
Let f(q) = q**3 + 2*q**2 + 3. Let d(h) = 3163*h**4 + 10*h**3 + 20*h**2 - 4717. Let u(z) = d(z) - 10*f(z). Differentiate u(a) with respect to a.
12652*a**3
Suppose 0*c + 464 = -5*c - l, -5*c - 466 = -l. Let a = c + 101. Differentiate -23 + a*f + 29 + 32*f with respect to f.
40
Let m be -8*(-2)/10 - 74/(-185). What is the third derivative of 4 + 3*g**3 + 68*g**m + g**3 + 43*g**3 - 3 wrt g?
282
Let w = -794 + 796. What is the derivative of -8*k**3 + 87 + 16*k**3 - 11*k**3 - 4 + 31*k**w wrt k?
-9*k**2 + 62*k
Let p(n) be the third derivative of 0*n + 0*n**4 - 46*n**2 + 1/20*n**5 + 16*n**3 + 1/12*n**6 + 0. What is the derivative of p(t) wrt t?
30*t**2 + 6*t
Let f(q) be the third derivative of q**5/60 - 91*q**4/4 + 1155*q**3/2 + 25*q**2 + 54. Differentiate f(j) wrt j.
2*j - 546
Suppose 4*u - 8*u = -8. Let d be u - 3*(-4)/6. Find the second derivative of 22*n - 5*n - d*n**2 + n - 4*n wrt n.
-8
Let s(i) = 2*i**3 + i**2 - 3*i + 2. Suppose 2 + 2 = 4*r. Let h be s(r). Differentiate h + 16*c**4 - 279*c**3 + 279*c**3 + 1 with respect to c.
64*c**3
Let s be 18/((-18)/3) - -35. Find the second derivative of -s + 33 + 3*l**2 + 16*l - 5*l**2 - 8*l**4 wrt l.
-96*l**2 - 4
Find the second derivative of 5721*o**5 - 5414*o + 1116*o**5 + 1419*o**5 + 478*o - 1163*o wrt o.
165120*o**3
Let p be (-2)/(10/(-12) + 5/(-30)). Suppose 4 = -p*a + 20. What is the first derivative of -19*o**2 + 4*o - 12*o - 2 + a*o wrt o?
-38*o
Let d(t) be the first derivative of t**2 + 0*t**4 + 101/5*t**5 + 109 + 0*t**3 + 56*t. What is the derivative of d(o) wrt o?
404*o**3 + 2
Suppose -25 = 19*g - 63. Suppose -5 = 2*v + 5*n + 1, 2*n = 5*v - 14. Differentiate -20 + g*t**2 - 7 - 19*t**v - 31*t**2 with respect to t.
-96*t
Let z(c) = 3*c**2 - 3*c - 38. Let j be z(-8). What is the third derivative of -7*t**2 + 170*t - j*t**5 - 353*t + 183*t wrt t?
-10680*t**2
What is the second derivative of -210 - 8495*b + 210 + 5441*b**2 - 3986*b**2 + 4753*b**2 wrt b?
12416
Let o(b) be the first derivative of b**4/4 + 19*b**2/2 + 557*b + 1508. What is the derivative of o(w) wrt w?
3*w**2 + 19
Let c(u) be the first derivative of 10*u**6 + u**4/2 - 2*u**3/3 + 1211*u**2 - 5586. What is the second derivative of c(y) wrt y?
1200*y**3 + 12*y - 4
Let g = 46 + 24. Differentiate -4 + 9 - 47 + 11 + g*i**4 with respect to i.
280*i**3
Let w(g) be the second derivative of 14*g**6/3 + g**5/20 + 659*g**2/2 - 23*g + 10. Find the first derivative of w(y) wrt y.
560*y**3 + 3*y**2
Let o be ((-90)/(-27)