econd derivative of 2 + 9 + 245*b**3 - 2*b + 25*b**4 - r*b**3 wrt b.
300*b**2
Suppose 31*d = 410 - 131. Let k(n) be the second derivative of 0*n**2 + 13/6*n**3 - d*n + 1/2*n**4 + 0. What is the second derivative of k(t) wrt t?
12
Let j = -26 + 30. Differentiate 4*o**4 - 16 + 0*o**4 - 22*o**j wrt o.
-72*o**3
Let o(a) be the first derivative of -10*a + 2/3*a**3 + 3*a**2 - 7. Let c(i) be the first derivative of o(i). Differentiate c(x) wrt x.
4
Let i = 10 + 5. Find the first derivative of i*n - 5*n - 17 + 12 + 3 wrt n.
10
Suppose 5*t = 2 + 13. Let y be (-380)/(-70) - ((-33)/21 - -2). Find the third derivative of -7*b**5 + 2*b**2 + 14*b**y - 3 + t wrt b.
420*b**2
Let n(o) be the second derivative of 3*o**8/56 - 2*o**6/15 - 11*o**4/3 + 95*o. What is the third derivative of n(j) wrt j?
360*j**3 - 96*j
Let y(j) be the third derivative of 55*j**4/24 - 29*j**3/2 - 160*j**2. What is the derivative of y(r) wrt r?
55
Let m(o) = 10*o + 31. Let w(v) = -5*v - 16. Let a be (-6)/4*(16 + -14). Let x(l) = a*m(l) - 5*w(l). Find the first derivative of x(f) wrt f.
-5
Let m be (-2)/8 + 11/(-4). Let c be (-39)/(-18) - m/(-18). Differentiate c - 1 + 6 - 2 - r wrt r.
-1
Let b be 24/(-16)*(-3)/(18/64). Find the first derivative of b*h + 4*h + 47 + 11 + 26*h wrt h.
46
Find the third derivative of 1102*h**6 - 64*h**6 - 10*h - 41*h**2 + 42*h**2 - 22*h wrt h.
124560*h**3
What is the first derivative of 92 - 166 + 41 - 224*n wrt n?
-224
Let g(k) be the first derivative of -23*k**2 - 1 + 19*k**2 + 5*k - 2. Let n(b) = 8*b - 4. Let z(s) = 3*g(s) + 2*n(s). Differentiate z(t) with respect to t.
-8
Let x(l) = 33*l + 1. Let s be x(1). Find the third derivative of -6*h**2 + 18*h**4 - 2*h**2 - s*h**4 wrt h.
-384*h
Let o be ((-13)/39)/(1/(-87)). What is the third derivative of -1061*d**3 + 1061*d**3 + o*d**2 + 34*d**5 wrt d?
2040*d**2
Let w(z) be the second derivative of -3*z**7/14 + z**4/12 + 5*z**3/3 - 13*z. Find the third derivative of w(m) wrt m.
-540*m**2
Suppose 2*s = -2*f - s + 14, f = -2*s + 6. What is the derivative of 28 - 18 - 13 - a - f*a wrt a?
-11
Let k(n) be the second derivative of n**6/10 + 5*n**3/3 + n**2/2 + 59*n. What is the first derivative of k(y) wrt y?
12*y**3 + 10
What is the third derivative of -4*t**5 - 37*t**2 - 5*t**6 - 2*t + 2532 - 2532 - 2*t**6 wrt t?
-840*t**3 - 240*t**2
Let i be (-2 + (-40)/(-5))*8/16. Let x(t) be the second derivative of 0*t**i + 0*t**4 - 5/2*t**2 + 7*t + 0 + 1/10*t**5. Find the first derivative of x(b) wrt b.
6*b**2
Find the second derivative of 11*b + 103612*b**3 - 2 - 103612*b**3 + 317*b**5 + b wrt b.
6340*b**3
Let l(m) = 3*m**5 - 25*m**2 + 14*m + 4. Let h(t) = -t**2 + 1. Let n(w) = -6*h(w) + l(w). Find the second derivative of n(z) wrt z.
60*z**3 - 38
Let k(b) be the third derivative of 49*b**4/4 + 187*b**3/6 - 931*b**2. Differentiate k(g) with respect to g.
294
Let a(y) be the second derivative of 193*y**5/10 - 215*y**4/6 + 194*y + 2. Find the third derivative of a(k) wrt k.
2316
What is the first derivative of -10*c**2 - 10*c**3 - c + c + 0*c - 83 + 2*c**2 wrt c?
-30*c**2 - 16*c
Let t(j) = 4 + 0*j**2 - 10*j**2 - 5*j**3 + 3*j**3 + j**3. Let y be t(-10). What is the second derivative of y + 2 + 2*r**3 + 6*r - 6 wrt r?
12*r
Suppose -27 = -3*r - n, 0*r - r - 7 = -5*n. Find the first derivative of 1 + r - 36*b + 21*b + 21*b wrt b.
6
Let p(k) = -6*k**4 + 96*k**3 - 97*k**2 + 20*k + 5. Let i(v) = v**4 - v**2 - 4*v - 1. Let f(q) = 5*i(q) + p(q). What is the third derivative of f(n) wrt n?
-24*n + 576
Let v(m) be the second derivative of 0*m**4 + 1/2*m**6 - 1/3*m**3 + 0*m**5 + 0*m**2 + 0 + 15*m. What is the second derivative of v(a) wrt a?
180*a**2
Let m(c) be the first derivative of -11*c**8/1680 - c**6/24 + 16*c**3/3 + 1. Let i(f) be the third derivative of m(f). Find the third derivative of i(g) wrt g.
-264*g
Let a(n) be the second derivative of 8*n**7/105 + n**3/2 - 5*n**2 + 20*n. Let y(j) be the first derivative of a(j). Differentiate y(r) with respect to r.
64*r**3
Suppose -5*d + 16 = 6. Suppose 3 = d*a - 3. Differentiate -3 + 3*s**2 - 4 - a*s**2 - s**2 with respect to s.
-2*s
Let t(q) = -1600*q**4 - 154*q**2 - 5*q + 15. Let g(h) = -800*h**4 - 77*h**2 - 3*h + 9. Let s(y) = 5*g(y) - 3*t(y). What is the third derivative of s(d) wrt d?
19200*d
Let g(l) be the third derivative of 20*l**7/21 - 3*l**5/20 + 3*l**3/2 + 21*l**2 + 4*l. What is the third derivative of g(z) wrt z?
4800*z
Suppose -3*s - j = -111 - 1, -s + 2*j + 28 = 0. Suppose -5*y + s = -39. What is the second derivative of 2 - y*q**4 + 3*q - 2 + 12*q**4 wrt q?
-36*q**2
Find the second derivative of -5*o**3 + 0*o**3 + 2 + 153*o - 160*o - 57*o + 9*o**5 + o**3 wrt o.
180*o**3 - 24*o
Let t(w) be the second derivative of 119*w**3/6 - 81*w**2/2 - 35*w. What is the first derivative of t(h) wrt h?
119
Let z(c) = c**3 + 6*c**2 - c. Let o be z(-5). Let n = o + -11. What is the third derivative of 0*u**3 - n*u**2 - 3*u**3 + 13*u**2 wrt u?
-18
Let i(j) = -10*j**4 + 8*j**2 + 2*j - 420. Let g(k) = 10*k**4 - 8*k**2 - 3*k + 418. Let t(p) = -2*g(p) - 3*i(p). Differentiate t(a) wrt a.
40*a**3 - 16*a
Let k = -1761 + 1763. Suppose 3*z = y + z - 6, 4*y - 6 = -z. Find the second derivative of q**k - 8*q**4 - 606*q - q**y + 611*q wrt q.
-96*q**2
Let g = -19 - -24. Let j(t) = 17*t + 2. Let v(r) = -25*r - 3. Let y(s) = g*v(s) + 8*j(s). What is the derivative of y(u) wrt u?
11
Let c(s) be the first derivative of 2*s**6/3 - s**4 - 91*s**3/3 - 136. Find the third derivative of c(h) wrt h.
240*h**2 - 24
Suppose -5*g = 3*t - 8 - 11, -4*t + 18 = 3*g. What is the third derivative of 5*h**g + 2*h**2 + 7*h**2 + 18*h**3 wrt h?
108
Let l = 6 + -2. Suppose -56 = -2*s - 2*s - 2*q, 44 = 4*s - q. Find the first derivative of 4*j**l - 11 + 15 - s wrt j.
16*j**3
Let g = 20 + 52. What is the first derivative of 150 - g - 3*u - 65 wrt u?
-3
Let i(p) = -52*p - 14. Let g be i(-4). Find the third derivative of 176*m**2 + 31*m**4 + 9*m**4 - g*m**2 wrt m.
960*m
Let z = -72 + 76. Find the third derivative of 3*d**z - 44*d + 20*d**4 + 44*d - 10*d**2 wrt d.
552*d
Let n(f) be the third derivative of f**6/120 - 19*f**5/60 - 97*f**3/6 - 13*f**2 + 2*f. Differentiate n(h) with respect to h.
3*h**2 - 38*h
Suppose 23*w - 22*w - 4 = 0. Suppose w*y - h = 5*y - 6, 2*y - 3*h + 8 = 0. Find the first derivative of 7*b**3 - 6 + y + 0 wrt b.
21*b**2
Suppose -5*p = 5*r - 60, -5*r - 2*p = 29 - 83. Differentiate -r - 30*g**4 + 4 - 1 - 11 with respect to g.
-120*g**3
Let v = -3/86 - -101/430. Let l(r) be the second derivative of v*r**5 + 4*r + 0*r**4 - r**2 + 0*r**3 + 0. Differentiate l(c) with respect to c.
12*c**2
Let b(g) = -2*g**3 + g**2 + 8*g - 2. Let y be b(-2). Let c(p) be the first derivative of 3/2*p**y + 2*p - 2. What is the first derivative of c(s) wrt s?
3
Let m(x) = 403*x**2 + 10*x - 3. Let j(y) = 199*y**2 + 5*y - 2. Let o(u) = 7*j(u) - 4*m(u). What is the second derivative of o(n) wrt n?
-438
Suppose -25 = 5*b - 35. What is the third derivative of 31*i**b + 13*i**4 - i**4 - 5*i**2 wrt i?
288*i
Let g(t) = t - 3. Let f = 4 - -3. Let w be g(f). What is the third derivative of 17 - 3*j**4 - 17 + w*j**2 wrt j?
-72*j
Let a(q) = -31*q + q + 31*q. Let f(k) = 5*k + 3. Suppose -5*l = 3*d - 2*l + 12, d + 2*l + 5 = 0. Let w(o) = d*a(o) - f(o). Differentiate w(r) with respect to r.
-8
Let d = -26 + 13. Let j = 19 + d. What is the third derivative of 5*g**2 + 4*g**6 + 9*g**2 - 3*g**6 - 7*g**j wrt g?
-720*g**3
Suppose 0 = j - 3*d - 20, -3*d + 2 = 2*j + 7. Let n(f) = -f + 7. Let l be n(j). What is the second derivative of 21*i**l + 2*i + 4*i**3 - 21*i**2 + 6*i wrt i?
24*i
Let d = 13 + -11. Suppose -d*j - j - 9 = -2*u, -5*j - 15 = 0. What is the second derivative of -2*f + 5*f**2 + f + u*f + 7*f wrt f?
10
Let p = 55 - 53. Let x(m) be the second derivative of 3/2*m**p + 1/20*m**5 + 0*m**4 + 0*m**3 + 0 - 2*m. What is the first derivative of x(g) wrt g?
3*g**2
Let l(y) = 0*y + 2*y + 3*y**2 - 1 + 0*y. Let b be l(1). What is the second derivative of -3*d + d - 2*d + 5*d**b wrt d?
60*d**2
What is the third derivative of -2*c - 827*c**3 + 66*c**2 + 283*c**2 - 160*c**2 wrt c?
-4962
What is the third derivative of -74*i**5 + 10*i**4 + 13*i**4 + 37*i**2 - 23*i**4 - 1 - 427*i**5 wrt i?
-30060*i**2
Suppose 0 = j + j - 8. Suppose j*o + o - 10 = 0. Differen