Let i(j) be the first derivative of k(j). Differentiate i(v) wrt v.
-112*v
Let f = -36 + 117. Let y be 3 - (3 + -2)*-10. What is the derivative of -y*l**4 - f + 162 - 61 wrt l?
-52*l**3
Let m = 150 + -146. Suppose n = 5*i - 9, -m*n + 6*n = i + 27. What is the second derivative of 31*f**3 + 37*f + 25*f - n*f wrt f?
186*f
What is the second derivative of -133 - 280 + 2723*w - 624*w**3 + 413 wrt w?
-3744*w
Let x = 421 + -417. Differentiate 112 - 7*a**4 + 33*a - 31*a - 24*a**x wrt a.
-124*a**3 + 2
Let q(g) be the third derivative of -2*g**8 + 143*g**4/3 - 609*g**2 + 2. What is the second derivative of q(w) wrt w?
-13440*w**3
Let b = 273 - 271. What is the first derivative of 17*x**4 + b*x**4 - 66 + 61*x**4 wrt x?
320*x**3
Let v = -325 + 329. What is the second derivative of 6*s**5 + 0*s + s + s**5 - 70*s**v - 4*s**5 + 14 - s**5 wrt s?
40*s**3 - 840*s**2
Suppose -2*w - v + 1051 = 0, 3*w + v - 224 = 1353. What is the derivative of w*c + 0*c - 259 - 234*c - 25*c wrt c?
267
Let d(a) be the third derivative of -5/2*a**3 - 1/15*a**5 + 1/40*a**6 + 0*a - 1/12*a**4 - 4 - 3*a**2. What is the second derivative of d(w) wrt w?
18*w - 8
Suppose -4*r - 2 = 2. Let q(y) = -10*y - 2. Let f be q(r). What is the second derivative of 3*u + 11*u**5 - 4*u - f*u - u wrt u?
220*u**3
Let a(b) be the second derivative of -20*b + 0 - 11*b**2 + 15/2*b**3. Find the first derivative of a(h) wrt h.
45
Let j(r) be the third derivative of -13/30*r**6 + 12*r**2 - 1/6*r**3 + 0 + 0*r**5 + 0*r + 23/24*r**4. Find the second derivative of j(x) wrt x.
-312*x
Suppose -4071 + 1566 = -15*b. What is the second derivative of -7 - 1 - 6*q + b*q**2 - 179*q**2 wrt q?
-24
What is the third derivative of -2*w**5 - w**5 - 1842*w**2 - 28*w**5 - 4*w**5 wrt w?
-2100*w**2
Suppose 4*k + 8 = 5*k. Let s(u) = -u**3 + 9*u**2 - 9*u + 21. Let d be s(k). What is the first derivative of -203*z + 12*z**2 + 203*z + d wrt z?
24*z
Let x be (-14)/(-42) - 10/(-6). Find the first derivative of -24*t**x + 41 - 76 + 52 wrt t.
-48*t
Let k(h) be the first derivative of -109*h**4/2 - h**2/2 - 178*h - 1193. What is the second derivative of k(s) wrt s?
-1308*s
Let l(j) be the first derivative of 4693*j**6/3 - 4701*j**2 + 1214. Find the second derivative of l(w) wrt w.
187720*w**3
Let m = 721 + -684. Find the second derivative of 5*i**4 - m*i**2 + 76*i + 89*i - 3*i**4 + 37*i + 55*i wrt i.
24*i**2 - 74
Let d(x) = 3721*x**3 - 3138*x**2 + 7*x. Let l(r) = 1861*r**3 - 1557*r**2 + 3*r. Let k(o) = -2*d(o) + 5*l(o). Find the third derivative of k(s) wrt s.
11178
Let i = 18 + -14. What is the second derivative of -4*z**2 - 52*z - 99*z**4 + i*z**2 + 127*z**4 wrt z?
336*z**2
Let d(w) = -5912*w + 5171. Let f(a) = 17*a + 2. Let i(m) = -d(m) - 2*f(m). What is the first derivative of i(j) wrt j?
5878
Let a(z) be the second derivative of 0*z**5 + 1/3*z**4 + 0*z**2 + 14 + 3*z + 9*z**3 + 0*z**6 - 4/21*z**7. What is the second derivative of a(w) wrt w?
-160*w**3 + 8
Let a(y) be the second derivative of 3809*y**5/20 + y**3/3 - 110*y**2 - 3524*y. What is the second derivative of a(j) wrt j?
22854*j
Let i(k) = -4931*k - 4385. Let x(t) = 4968*t + 4384. Let h(n) = -5*i(n) - 6*x(n). What is the derivative of h(b) wrt b?
-5153
What is the second derivative of 479*b + 504*b - 211*b + 2640*b**2 + 229*b wrt b?
5280
Let f = -107 + 115. Differentiate -2*v**3 + 4*v**2 + 0 - f - 3*v**2 + 13*v**2 with respect to v.
-6*v**2 + 28*v
Let i(u) be the second derivative of 1369*u**5/20 + 1437*u**2/2 + 489*u. What is the derivative of i(f) wrt f?
4107*f**2
Let i be -4 + 5*27128/40. Find the third derivative of -3277*w**2 - 35*w**5 - 3*w + 3*w + i*w**2 wrt w.
-2100*w**2
Suppose 7*c = -20 - 190. Let b be (4/(-5))/(c/75). Find the third derivative of -31*r**6 + 16*r**6 + 3*r**2 + 7*r**b wrt r.
-1800*r**3
Let r(s) = 2*s**2 - 2*s - 7. Let h be r(-2). Find the third derivative of -11*w**2 - 8*w**2 - 3*w**4 + h*w**2 + 2*w**4 - 2*w**5 wrt w.
-120*w**2 - 24*w
Let w be 15*(30/5)/6. What is the third derivative of -1417*h**2 + 1416*h**2 - 15*h - 27 + 232*h**3 + w*h wrt h?
1392
Let i(m) be the first derivative of 154 + 0*m**2 - 26*m + 102/5*m**5 + 0*m**4 + 0*m**3. What is the derivative of i(t) wrt t?
408*t**3
Suppose -5*f + 12 + 7 = -2*j, 3*f = -j + 18. What is the third derivative of 2*a**3 - f*a - 60*a**2 + 10*a**4 + 9*a + 196*a**2 - 4*a wrt a?
240*a + 12
Suppose 39*r + 2685 = 8028. Find the third derivative of -2*m**2 - 270*m**6 - 2*m**3 + 2*m**3 - 42 + r*m**6 + 127*m**6 wrt m.
-720*m**3
Let n(j) = 145*j - 576. Let w be n(4). Let x(i) be the second derivative of 0 - 11/2*i**2 + 1/4*i**5 - 22*i + 0*i**w + 0*i**3. Differentiate x(y) wrt y.
15*y**2
Let p = -673 + 2027/3. Let w(f) be the first derivative of -5 + p*f**3 + 0*f**4 + 0*f**5 + 19/6*f**6 + 0*f**2 + 0*f. Find the third derivative of w(t) wrt t.
1140*t**2
Let h(d) be the second derivative of 0*d**5 + 0*d**6 - 1/2*d**4 + 23 + 0*d**3 - 2*d + 0*d**7 + 5/7*d**8 + 0*d**2. Find the third derivative of h(m) wrt m.
4800*m**3
Suppose 0 = 4*p - 5*p - 5. Let h(l) = -30*l - 42. Let d(y) = -1. Let z(m) = p*d(m) - h(m). Differentiate z(f) with respect to f.
30
Let g(c) = -13*c - 4. Let z(v) = -4*v - 3. Let p be z(0). Let q be g(p). What is the second derivative of -29*f + q*f - 16*f - 6*f**5 wrt f?
-120*f**3
Let j(l) be the first derivative of -7712*l**5/5 - 256*l**3/3 + 2*l + 6131. What is the third derivative of j(a) wrt a?
-185088*a
Let f = -40 + 36. Let j be 13/(39/18) + f. What is the third derivative of -6*q - 5*q**6 + 4*q + 2*q**j + 2*q wrt q?
-600*q**3
Suppose 15*b = -13*b + 8008. What is the second derivative of -b*x**3 + 295 + 135*x - 295 + 133*x + 16*x wrt x?
-1716*x
Let t(g) be the third derivative of -1793*g**5/60 + 457*g**4/4 - 3*g**2 - 198. Find the second derivative of t(i) wrt i.
-3586
What is the second derivative of 12*c**5 + 331*c + 719*c - 13*c**4 - c**3 + c**3 + 78*c**4 wrt c?
240*c**3 + 780*c**2
Suppose -4*j - 3*f + 0*f = -3498, -4*j = 4*f - 3500. Find the first derivative of 873*o - 287 + 69 - j*o - 160*o**3 wrt o.
-480*o**2
Let l(j) = 3353*j**2 - 1547*j - 98. Let w(z) = -6706*z**2 + 3096*z + 184. Let t(o) = 15*l(o) + 8*w(o). What is the second derivative of t(v) wrt v?
-6706
Let z(x) be the third derivative of -31*x**2 + 0*x**5 + 0 + 0*x - 43/120*x**6 + 1/3*x**4 - 1/6*x**3. Find the second derivative of z(y) wrt y.
-258*y
Let k(g) be the second derivative of -9*g**5/20 + 181*g**4/12 + 5933*g**2/2 - 604*g + 4. Differentiate k(t) with respect to t.
-27*t**2 + 362*t
Let l(v) be the first derivative of 1/2*v**2 + 0*v**4 + 0*v**5 + 111 + 0*v**3 - 240*v + 287/6*v**6. Find the second derivative of l(w) wrt w.
5740*w**3
Let i be -111 + 4*4/12*-3. Let y be (-6)/(-5)*i/(-46). Find the third derivative of -484*t**y + 484*t**3 - 5*t**2 + 24*t**5 wrt t.
1440*t**2
Let j(r) = -8*r + 2*r**2 - r - 7 + 3*r**2 + 3*r**2. Let m be j(5). Find the third derivative of 148*p - m*p - 2*p**2 + 2*p**5 wrt p.
120*p**2
Suppose x = 4*k + k - 99, 2*k - 5*x = 35. Let l = 3 + -1. What is the third derivative of k*c**5 - 9*c**2 + 7*c**2 - 3*c**l wrt c?
1200*c**2
Let o(v) be the third derivative of 0*v + 0*v**6 - 1/3*v**3 + 0 - 17/210*v**7 + 1/30*v**5 + 43*v**2 + 15/8*v**4. Find the second derivative of o(h) wrt h.
-204*h**2 + 4
Let y(t) = -t**2 + 9*t - 7. Let w be y(7). Suppose 3*c = w*c - 8. Find the second derivative of -11*n + 2*n - n**2 + 5*n**c - 6*n**2 wrt n.
-4
Let a(r) = -r**4 - r**3 - r**2 + r + 2. Let z(q) = q**4 + 10*q**3 + 257*q**2 + 2*q + 2. Let y(n) = 2*a(n) - z(n). What is the third derivative of y(k) wrt k?
-72*k - 72
What is the derivative of 3849 - 137*z**2 - 9*z + 9*z - 3425 wrt z?
-274*z
What is the third derivative of 4915 - 4918 - 2405*i**6 - 788*i**6 - 14*i**2 wrt i?
-383160*i**3
Let a = -5 + 46. Suppose -23 = 3*q - a. Find the first derivative of -2*v**4 - q - 19*v**4 + 4 - 1 wrt v.
-84*v**3
Differentiate -42647433*l + 42647433*l - 875*l**2 - 1364 with respect to l.
-1750*l
Let j(y) be the second derivative of -423*y**7/14 - y**5/20 + 991*y**4/12 + 25*y + 9. What is the third derivative of j(o) wrt o?
-76140*o**2 - 6
Let s(o) be the first derivative of 0*o**2 + 22*o - 1/3*o**3 - 106 + 0*o**4 - 33/5*o**5. What is the first derivative of s(g) wrt g?
-132*g**3 - 2*g
Let z(x) be the second derivative of -10367*x**4/12 