336. What is the lowest common multiple of t and (-160)/(-64)*((-47)/(-5) - -1)?
156
Suppose 5*x - 3*i - 252 = -i, -i = 1. Let a be 1105/(-26) - ((-2)/4)/1. Let z = x + a. What is the smallest common multiple of z and 4?
8
Suppose 2*r = -4*f + 90, 0*r + 2*f - 139 = -3*r. Suppose -5*u + 2*m = 9 - r, -4*u = m - 33. Calculate the least common multiple of u and 16.
16
Let l(a) be the second derivative of -a**4/12 - a**3 - 2*a**2 + 139*a + 2. Let m be (-4)/(-6)*(-3 - 0). What is the least common multiple of l(m) and 20?
20
Let m(i) = -338*i + 1760. What is the least common multiple of m(5) and 532?
2660
Find the common denominator of (-9 + 49)/5 + 230/20 and 83/8504.
8504
What is the common denominator of -119/380 and (8 + 20816/(-2304))/1?
13680
Let r(f) = -31*f + 385. Calculate the least common multiple of r(0) and 280.
3080
Let x(f) = 6*f - 59. Let h be x(10). Find the common denominator of 15/(-25) + (3 - 278/45) and 21*(110/135 - h).
9
Let n = -7060 + 7099. What is the smallest common multiple of n and 121?
4719
Let v = -13079/2 - -6401. Let s = v + 162. Calculate the common denominator of s and -83/172.
172
Let b be ((-4)/5*2)/(6/(-15)). Suppose x - 99 = -3*n + 4, -3*n = -b*x - 128. What is the smallest common multiple of n and 12?
36
Suppose k = -5*j - k + 342, -k = 4. Let h = 27 + -26. Let q(t) = t**3 + t**2 - t + 1. What is the lowest common multiple of q(h) and j?
70
Let l = -453 + 461. Let d be 0/((6/(-1))/(-3)). Suppose -5*s - z + 3*z + 106 = d, -2*s = 4*z - 52. Calculate the lowest common multiple of l and s.
88
Find the common denominator of 139/258 and (-5)/(-2) + 381/(-172).
516
Suppose 21*v - 18*v = -q + 986, 4*q = -5*v + 3930. What is the least common multiple of 476 and q?
16660
Let t(v) = 14*v**2 - 2*v. Let n be 2*(-5)/30*3. Calculate the lowest common multiple of 12 and t(n).
48
Let x(g) = 19*g**2 + 4*g + 3. Suppose -40*y - 34 = -6*y. Let j(m) = -7*m**3 + 2*m**2 - 1. Calculate the least common multiple of j(-1) and x(y).
72
Suppose 5*p + 4*i = 40 - 5, -p = 2*i - 13. Let t(l) = -8*l**3 - 2*l**2 + 21*l**3 + 3 - 12*l**3. Calculate the smallest common multiple of 6 and t(p).
12
Let h = -6102 - -6130. What is the lowest common multiple of h and 400?
2800
Suppose 136 = 2*v + 4*p, 3*p - 184 = -3*v + 2*p. Let j = 67 - v. Suppose -2*q + 1 + j = 0. Calculate the least common multiple of q and 28.
28
Let b = -10933/3108 - -442/111. What is the common denominator of b and (-2)/8 + (-97)/(-16)?
112
Let y(o) = 18*o + 1233. What is the least common multiple of y(-65) and 33?
693
Let w(f) be the first derivative of 8*f - 3*f**3 - 24 + 1/4*f**4 + 4*f**2. Calculate the least common multiple of 24 and w(8).
24
Let v be (129862/(-117) - 2) + (-2)/(-13). Let m = -1110 - v. Let q = -89849/28 - -3212. What is the common denominator of q and m?
252
Let z = -621 - -624. Suppose 3*u - 208 = -1. Suppose 0 = -z*l - m + 58, u = 6*l - 2*l + 3*m. Calculate the smallest common multiple of l and 6.
42
Let g(n) = -3*n - 7. Let d(h) = 8*h + 20. Let a(x) = -4*d(x) - 11*g(x). Let o be a(4). Calculate the smallest common multiple of 8 and (o + -19)*2/(-4).
72
Let l(y) = 2*y**2 - 175*y + 302. What is the smallest common multiple of 1855 and l(93)?
9275
Suppose 3*f + 16 - 58 = 0. Let s = -926 + 1336. Calculate the least common multiple of f and s.
2870
Let y(s) = -s**3 + 5*s**2 - 3*s + 3. Let w be 1 + 5/(10/4). Calculate the least common multiple of y(w) and 13 + -13*11/(-143).
84
Let f be (-1 - 0)*1*(131 + -145). Suppose 13*s + 4*x + 46 = f*s, -s + 64 = 5*x. Calculate the least common multiple of 36 and s.
108
Let o = -15695 - -15872. Calculate the lowest common multiple of o and 65.
11505
Let f(g) = 157*g**2 - 20*g - 11. Calculate the lowest common multiple of 11 and f(2).
6347
Let d be (1/66)/(114/(-23990768028)*-296). Let k = 118494/11 - d. Let f = k + -52731/11248. Find the common denominator of -47/4 and f.
16
Let l(u) = 4*u**2 - 155*u - 270. Calculate the smallest common multiple of 66 and l(41).
198
Calculate the common denominator of -93/3218 and (10/(-22))/(-5)*100/8.
35398
Calculate the least common multiple of (-16*3/(-6) + 2912/(-24))*-42 and 40.
4760
Let o(m) = -160*m + 1844. What is the smallest common multiple of 290 and o(5)?
5220
Let l(v) = -2*v**2 - 11*v - 4. Let r be l(-4). Suppose -2*b - r = -3*g - g, 0 = 5*b - 10. Calculate the least common multiple of 21 and g.
21
Let c = -50 + 73. Suppose -11*f = -7*f - 456. Suppose -6*k - 72 = -f. Calculate the lowest common multiple of c and k.
161
Let i(b) = 14*b + 20. Let v(r) = -14*r - 21. Let k(d) = 2*i(d) + 3*v(d). What is the lowest common multiple of 3 and k(-4)?
33
Let f be 2 + 398/18 + 53/(-477). Let g = -1214 - -24253/20. Find the common denominator of g and 61/22 - (-17)/((-136)/f).
220
Let s be (-4 + 5)/((-4)/(-680)). Calculate the least common multiple of (s/25)/((-1)/(-10)) and 22.
748
Let u = 237/31 - 2859/155. Calculate the common denominator of u and 1/(-3)*27/(-4).
20
Let b = 64723/12 + -5392. Calculate the common denominator of (-157)/4 - 18/24 and b.
12
Let t = -7045 - -147985/21. Let s = -2688/5 - -249859/465. What is the common denominator of s and t?
651
Suppose 2*z + 4*j - 6580 = 0, -33*z + j + 6555 = -31*z. Find the common denominator of -18/25 and z/320*3/(675/(-4)).
225
Suppose -290*p = -292*p - o + 3022, 2*p - o = 3026. What is the smallest common multiple of 252 and p?
1512
Suppose -4*j - 2*p + 32 = 0, 0 = p - 32 + 34. What is the common denominator of 6/15 - (-129)/(-510) and j?
34
Suppose -1074*d = 4*x - 1070*d - 108, 5*d = 2*x - 19. Calculate the smallest common multiple of 4 and x.
44
Suppose 0 = -4*y, -167 = -5*d + 5*y + 313. Calculate the lowest common multiple of 138 and d.
2208
Let r be 391421/(-99)*((12 - 7) + -18). Let t = 51398 - r. Calculate the common denominator of 8/15 and t.
495
Suppose 0 = 142*h + 147907 - 537555. Calculate the smallest common multiple of h and 6.
8232
Suppose -28*z + 24*z - 168 = 0. What is the lowest common multiple of 120 + 6 + z/(-6) and 8?
1064
Let y = -28564161 - -771136969/27. Let i = y + 3533. What is the common denominator of i and (35/(-21))/(2/10)?
27
Suppose 2*u = -0*u - 20. Calculate the smallest common multiple of -3*((-24)/(-72) + u/6) and 104.
104
Suppose -3*f + b = -830, f - 67 - 247 = 5*b. What is the lowest common multiple of f and 685?
1370
Calculate the common denominator of ((-81)/90*5/4)/((-16)/10) and -49/10.
320
Let b = 489 - 162. Suppose -178 - b = -5*t. Find the common denominator of (-4 - -2) + t/8 - 0 and 145/6.
24
Let o = -318165287/794 - -400712. Calculate the common denominator of -31/8 and o.
3176
Let w = -17842445/3235086 - -2376/431. Find the common denominator of w and -13/10.
37530
Suppose 13*o - 60 = 8*o. Suppose o*n - 4*n = -312. Let a = -9 - n. Calculate the lowest common multiple of a and 12.
60
Suppose a = -w + 4250, 4*a = 3*w + 3*a - 12766. Let h be -2*4/(-20) + w/(-10760). Let b = h - -13161/4304. Calculate the common denominator of -111/40 and b.
80
Suppose 109*k - 82*k - 55*k = -196. What is the lowest common multiple of 865 and k?
6055
Suppose -2 = d - 3*u, 0*u - 22 = 4*d + 2*u. What is the smallest common multiple of 3/d + 746/10 + -2 and ((-3)/(-4))/(2/8)?
72
Suppose -2644*s = 2*x - 2641*s - 694, 0 = 5*s + 30. Calculate the lowest common multiple of x and 32.
2848
Let f = -1641 - -11465/7. Let o be -1 + (2 - (-43282)/12). Let r = o - 3583. What is the common denominator of f and r?
42
Let b = 274223/23190 - -32/3865. Suppose -2*u + 8 = 0, k = u + 52 - 148. Let d = -64 - k. Find the common denominator of b and d.
6
Let b(j) = 41*j + 1129. What is the lowest common multiple of 7 and b(-26)?
63
Suppose 54*p + 18*p = -32*p + 10400. Suppose 4*c + 3*v - 34 - 23 = 0, -2*v - 42 = -4*c. What is the smallest common multiple of p and c?
300
Let n = 168031/31176 + -3/3464. Calculate the common denominator of -5 - (30855/(-576))/11 and n.
576
Let a = -287/118 - -14144/3717. What is the common denominator of 67/462 and a?
1386
Let d(s) be the first derivative of -s**4/4 + 37*s**3/3 - 103*s**2/2 + 40*s + 152. Calculate the lowest common multiple of 8 and d(34).
24
Let q(j) = -1224*j - 1223*j + 399 + 146 + 2460*j. What is the smallest common multiple of q(-41) and 180*(12/(-5))/(-3)?
144
Let o be (3 + -5)*27/