 + 4
Let i be (-4)/(8/(-81)) - (-1)/(-2). Suppose 9*t = -t + i. Find the second derivative of -40*j - j**3 - t*j**3 + 6*j**3 wrt j.
6*j
Let z = 152 + -149. Suppose 0*a - 4*a + 4 = 0. Differentiate -15*c**z + 5 - 22 - a wrt c.
-45*c**2
Let o(v) = -v**3 - v**2 + v + 1. Let p(m) = -169*m**3 - 32*m**2 - 36*m - 7. Let w(c) = 7*o(c) + p(c). What is the third derivative of w(a) wrt a?
-1056
Find the second derivative of -1590*x - 1990*x + 3074*x - 3407*x**3 wrt x.
-20442*x
Find the third derivative of 1769*b**2 + 63 - 28 + 2960*b**2 + 2035*b**3 - 35 wrt b.
12210
Let u = 336 - 332. Let y(x) = -15*x**2 + x + 4. Let t(o) = -15*o**2 + o + 5. Let g(v) = u*y(v) - 6*t(v). What is the second derivative of g(n) wrt n?
60
Suppose 0 = 2*a + 3*g - 21, g = -5*a - 0*g + 20. What is the second derivative of -1 + 738*r**3 + 0*r + r + a*r - 709*r**3 wrt r?
174*r
Let n = -55 + 49. Let t(i) = -i**2 - 4*i + 12. Let a be t(n). What is the third derivative of a*c**4 - 5*c**2 + c**4 + 21*c**6 - c**4 wrt c?
2520*c**3
Let v(i) = 2*i**2 - 17*i - 1. Suppose -75 = -26*j + 23*j. Let d be v(j). What is the first derivative of -d + 15*r**3 - 37*r**3 + 821 wrt r?
-66*r**2
Let m be (-80)/(-1 + 3)*(-4 + 0). Suppose 3*b + 154 - m = 0. What is the second derivative of 0*c + 16*c**b - 6*c**2 + 2*c wrt c?
20
Suppose 9*i - 468 = -3*i. What is the second derivative of -27*o**4 - i*o**4 - 58*o - o - o**4 wrt o?
-804*o**2
Let x(q) be the first derivative of -1353*q**5/5 + 857*q + 894. Differentiate x(m) with respect to m.
-5412*m**3
Let s(t) be the third derivative of -t**8/84 + t**6/60 + 83*t**5/30 + 389*t**4/12 + 27*t**2 + 89*t. What is the second derivative of s(n) wrt n?
-80*n**3 + 12*n + 332
Let y(b) be the second derivative of -25*b**7/42 + 6*b**5/5 - 5*b**3/2 - 2*b**2 + 2249*b. What is the second derivative of y(g) wrt g?
-500*g**3 + 144*g
Let a = -3066 + 3066. Let f(h) be the first derivative of 20 + 0*h**4 + a*h - 10/3*h**3 + 0*h**2 + 16/5*h**5. Find the third derivative of f(x) wrt x.
384*x
Let p(a) = -1626*a**2 - 5*a - 20. Let z(n) = 812*n**2 + 3*n + 11. Let g(v) = -3*p(v) - 5*z(v). What is the derivative of g(q) wrt q?
1636*q
Let q(f) be the third derivative of -f**10/1800 - 43*f**6/360 + 7*f**5/60 - f**3/2 + 2*f**2. Let i(o) be the third derivative of q(o). Differentiate i(j) wrt j.
-336*j**3
Let r(c) = 38*c**3 - 19*c**2 - 1214. Let v(i) = -189*i**3 + 92*i**2 + 6069. Let p(b) = 11*r(b) + 2*v(b). Differentiate p(y) with respect to y.
120*y**2 - 50*y
Let x(a) be the second derivative of -11*a**4/6 + 271*a**2/2 - 552*a. What is the first derivative of x(t) wrt t?
-44*t
Let q(h) be the third derivative of 1/30*h**6 + 0*h**3 + 1/21*h**7 - 77/20*h**5 + 132 + 0*h**4 + h**2 + 0*h. What is the third derivative of q(o) wrt o?
240*o + 24
Let j(w) = w + 11*w - w - 10 - 7*w. Let x be j(6). What is the second derivative of -8*o**3 + 2*o**3 - 37*o + x*o**3 + 3*o**3 wrt o?
66*o
Let d(b) = -2170*b + 21. Let n(j) = 723*j - 7. Let g(i) = -3*d(i) - 8*n(i). Let r be g(3). What is the second derivative of r - 9*o**2 - 2171 + 5*o wrt o?
-18
Suppose 0 = -s - 3*s + 4*q + 16, 4*s - 2*q - 10 = 0. What is the derivative of -s - 25*b + 31*b + 47*b wrt b?
53
Let z(t) = -1884*t**3 - 5*t**2 - 5*t - 329. Let m(i) = -942*i**3 - 3*i**2 - 2*i - 165. Let f(p) = 5*m(p) - 3*z(p). What is the second derivative of f(y) wrt y?
5652*y
Let f(q) be the first derivative of 4123*q**5/5 - 2*q**3/3 - 450*q - 1121. What is the third derivative of f(m) wrt m?
98952*m
Find the first derivative of -1360 - 5458116*k**3 - 13*k**4 + 2*k**2 + 5458133*k**3 - 3*k**4 wrt k.
-64*k**3 + 51*k**2 + 4*k
Let d(t) be the third derivative of 19/12*t**6 - 1/12*t**4 - 184*t**2 + 0*t - 1/12*t**5 + 0*t**3 + 0. Find the third derivative of d(u) wrt u.
1140
Let d = 2340 - 2290. Let y(q) = -2*q + 4. Let f be y(-5). What is the first derivative of -9*i + f - 24*i + d*i wrt i?
17
Let o(v) be the first derivative of 84*v + 0*v**3 - 11 + 0*v**2 + 63/4*v**4. Differentiate o(c) with respect to c.
189*c**2
Let y(c) be the second derivative of -109*c**5/2 + c**3/2 - 29*c**2 + 1256*c. Find the second derivative of y(q) wrt q.
-6540*q
Let x(w) be the first derivative of -6197*w**6/6 + w**3/3 - 15*w**2/2 - 8372. What is the third derivative of x(t) wrt t?
-371820*t**2
Let w(v) be the third derivative of 43*v**7/35 - 3*v**6/40 - 1333*v**4/12 - 4618*v**2. Find the second derivative of w(o) wrt o.
3096*o**2 - 54*o
Let b(o) = -12*o**2 + 8. Let p(f) = -24*f**2 + 15. Let q = 100 - 98. Let w be q*1*169/26. Let i(j) = w*b(j) - 6*p(j). What is the derivative of i(c) wrt c?
-24*c
Let c(l) = l**3 + 6*l**2 - 2*l - 6. Let s be c(-5). Let o = s - 25. What is the second derivative of 0*a - 582*a**4 + 589*a**o + 7*a wrt a?
84*a**2
Find the second derivative of -194 - 2525*q**3 + 94 + 104 + 267*q wrt q.
-15150*q
Differentiate -15150*t - 645 - 50*t**4 + 7575*t + 7571*t with respect to t.
-200*t**3 - 4
Let p(c) be the second derivative of -365*c**7/21 - 1339*c**3/6 + 11*c + 2. Find the second derivative of p(s) wrt s.
-14600*s**3
Let z(g) be the first derivative of -4022*g**7/7 + 6758*g**3/3 + 4031. What is the third derivative of z(f) wrt f?
-482640*f**3
Let m = -4856 + 4858. Let a(h) be the first derivative of 0*h - 31/3*h**3 - 13/4*h**4 + 0*h**m - 46. What is the third derivative of a(f) wrt f?
-78
What is the second derivative of 159822*s - 4*s**4 - 317234*s - 6*s**5 + 159780*s wrt s?
-120*s**3 - 48*s**2
Differentiate 911 - 493*p - 142*p - 87 + 72*p + 73 wrt p.
-563
Let j(d) be the third derivative of -11*d**7/210 + 29*d**5/60 + 697*d**3/2 + 1654*d**2. Find the first derivative of j(n) wrt n.
-44*n**3 + 58*n
Let v = -108 - -112. What is the first derivative of -11*o + 11*o + 48*o**v + 58 - 17 wrt o?
192*o**3
What is the second derivative of -321*h**5 + 810*h**2 - 812*h**2 - 2988*h**5 + 1492*h wrt h?
-66180*h**3 - 4
Let r(x) = -8328*x - 7819. Let u(y) = -16669*y - 15635. Let d(s) = 5*r(s) - 3*u(s). Differentiate d(h) with respect to h.
8367
Let t(j) = 1307*j**2 - 1219*j + 4. Let y(c) = 1305*c**2 - 1224*c + 5. Let g(k) = 5*t(k) - 4*y(k). What is the second derivative of g(n) wrt n?
2630
Let x be (-30)/(-20) - (-3 - (-2)/(-4)). Suppose -20 = -4*d - s - 2*s, -25 = -5*d - 2*s. What is the second derivative of 5*u**5 - u**x + 9*u**d + 2*u wrt u?
260*u**3
Let s(l) = 5011*l**4 - 7*l**3 + 4*l**2 - 3164. Let k(v) = 3340*v**4 - 5*v**3 + 3*v**2 - 2110. Let w(u) = -7*k(u) + 5*s(u). Differentiate w(z) wrt z.
6700*z**3 - 2*z
Let i(l) = 9*l**2 - 3*l - 3. Let n be i(-2). Let c = 42 - n. What is the second derivative of w**3 + 12*w**c - w - w**3 wrt w?
72*w
Let y(f) be the first derivative of 481*f**6 - f**3/3 + 415*f + 981. Find the third derivative of y(b) wrt b.
173160*b**2
Let i = 12722 + -8902. Differentiate -28 - 17*x**4 + i*x - 3820*x with respect to x.
-68*x**3
Let x(d) = -d**3 + 5*d**2 + 5*d - 14. Let j be x(5). Find the third derivative of 0 - j - 57*b**3 - b**2 - 11 wrt b.
-342
Suppose 0 = -8*q + 40 + 24. Differentiate q - 28*m**3 - 11885*m + 11885*m with respect to m.
-84*m**2
Find the third derivative of x**2 + 396887*x**4 - 397065*x**4 + 416 + 371 - x**6 wrt x.
-120*x**3 - 4272*x
Let t(z) be the third derivative of -14*z**8/3 + 89*z**5/30 - z**4/12 - 1328*z**2. What is the third derivative of t(l) wrt l?
-94080*l**2
Let q(y) be the second derivative of 7*y**6/30 - 8*y**3 + 863*y**2/2 + y + 933. What is the derivative of q(i) wrt i?
28*i**3 - 48
Find the second derivative of -6 - 274*l**5 + 36*l - 350*l**5 - 624*l**5 wrt l.
-24960*l**3
Let r(p) = 7*p**4 + 762*p**3 - 46*p + 27. Let z(o) = o**4 - o**3 - 11*o - 1. Let c(u) = r(u) - 5*z(u). What is the second derivative of c(i) wrt i?
24*i**2 + 4602*i
Let q(w) be the second derivative of w + 0*w**3 + 0*w**4 - 58*w**2 + 0*w**5 - 11/10*w**6 + 3. Find the first derivative of q(r) wrt r.
-132*r**3
Let u(h) be the first derivative of 212*h**6/3 + 89*h**3/3 + h - 1564. Find the third derivative of u(q) wrt q.
25440*q**2
Let j = -76 - -80. Let o be 2/j*824/4. What is the third derivative of -18*n**3 + o*n**3 - 36*n**3 - 36*n**3 - 31*n**2 wrt n?
78
Let m(l) = 101*l**2 - 4*l + 3. Let a be m(1). What is the third derivative of -168*d**6 + 42*d**6 + 60*d**6 - a*d**2 wrt d?
-7920*d**3
What is the second derivative of 1970*r - 2 + 688*r**2 + 2 