 Calculate the least common multiple of 14 and h.
59612
Suppose t + 12 = 2*t. Let s = -24542 + 24594. Calculate the lowest common multiple of t and s.
156
Let z = -1293470246/25 + 51727618. Let a = 11194 + z. Calculate the common denominator of 21/25 and a.
25
Suppose 2*y - 8 = -c, 4*y - c + 8 = 3*c. Suppose -z + 0*m + y*m = -31, z - 5*m = 31. Suppose -n + 14 = -z. Find the common denominator of -49/8 and n.
8
What is the common denominator of 79/14 and (18/(-27) + -2)*-3 - (-4097)/(-514)?
3598
Find the common denominator of (-108)/(-252)*365/1110 and 23/518.
518
What is the smallest common multiple of (-44)/(1 + (-7 - -5)) - 2 and 654?
4578
Find the common denominator of 68/(-40) + -4 + 41 + -44 and 59/520.
520
Let f = 47 - 53. Let y be f/(-3) + 0/(-1). Suppose y*v - 2 - 46 = 0. Calculate the lowest common multiple of v and 24.
24
Suppose -8*o + 24 = -6*o - 4*p, 3*o - 32 = 4*p. What is the smallest common multiple of o and 30686?
122744
Let x = 1/58156 + 2994995/2268084. What is the common denominator of x and -41/351?
702
Let f = -110077/69912 + -76/971. Find the common denominator of -119/18 and f.
72
Let i(q) = -2*q**2 + 60*q - 56. Let y be i(29). Let l(h) = 12*h**2 - 5*h + 6. What is the least common multiple of l(y) and 32?
352
Let a = 1813 - 1777. Calculate the least common multiple of a and 692.
6228
What is the common denominator of 7/((-129675)/(-424625)) - 23 and -87/1406?
54834
Let r be (-304887)/224994 - (-3)/(-1). Let a = r + -1/487. Suppose 2*j + 2*j + 76 = 0. Calculate the common denominator of a and j.
14
Let v = 88/13459 - 904071/12705296. Calculate the common denominator of v and 139/144.
8496
Let y = -31 + 53. Suppose -2*z + 293 = 2*o + 63, -2*o + 181 = -5*z. Calculate the smallest common multiple of o and y.
1188
Suppose -2*y + 160 = 4*p, -p + 68*y = 65*y - 40. What is the least common multiple of 4644/14 + (-6)/(-21) and p?
3320
Let y(w) be the second derivative of w**4/6 + 4*w**3/3 + 4*w**2 + 2*w + 11. Calculate the least common multiple of y(-8) and 96.
288
Let b = -111 - -93. Let y = -7849/1197 - -2/1197. What is the common denominator of y and (-3)/((-60)/32)*30/b?
9
Let q = 740/39 + -69/13. Let r = -172087933/79592 - -10/9949. Let m = -2174 - r. What is the common denominator of m and q?
24
Let z = 60/7 - 589/14. Find the common denominator of 57/1016 and z.
1016
Let c = 405/23 - 1681/230. Suppose -4*s = 5*s - 252. Find the common denominator of c and 24 - 27 - (-2 + 134/s).
70
Suppose -636 + 3677 + 3427 = 22*m. What is the least common multiple of m and 35?
1470
Let v = -137 - -140. Suppose v*x = 5*n - 54 - 146, -3*n + 2*x = -120. What is the lowest common multiple of 16 and n?
80
Suppose -5*y + 98 = 3*u, 13 = 5*u - y - 169. Calculate the common denominator of ((-2044)/70)/(u/10) and -127/84.
252
Let t = -23 - -53. What is the smallest common multiple of t and ((-45980)/(-33))/19 - (-4)/(-3)?
360
Let g = -9814 + 9989. What is the lowest common multiple of 560 and g?
2800
Let q = -95060 - -95072. Let j(z) = 2*z**2 - 4*z. Calculate the lowest common multiple of q and j(5).
60
Let a be (0 - (0 + 1))/((-8)/544). Suppose -4*n + 28 = -a. What is the lowest common multiple of (-2)/((-14)/13) + 5/35 and n?
24
Let p(y) = -415*y - 1320. Calculate the lowest common multiple of 2547 and p(-10).
25470
What is the common denominator of -121/276 and ((-95)/92 + 33/22)*(-4)/34?
4692
Let j = 161 + -174. Find the common denominator of -3 + (-79)/(-2 + 0 + j) and 28/45.
45
Suppose 0*q - 4*q = -220. Calculate the least common multiple of (-12)/(-2) + 365/365 and q.
385
Let d(t) = -7*t**2 + 2. Suppose -y = 4*z - 8 - 10, -5*y = z + 5. Let g be d(y). Let n = 66 + g. Calculate the least common multiple of n and 8.
40
Suppose l - 34 - 54 = 0. Let i = 79 - 187. Let s = i - -112. Calculate the smallest common multiple of s and l.
88
Let r = -34481/450060 - -5/577. Calculate the common denominator of r and 85/96.
6240
Let k(m) = -m**3 + 3*m**2 + 4*m - 3. Let y be k(1). Suppose -t + 3*t = l + 12, 18 = y*t - 3*l. What is the least common multiple of t and 52?
156
Let d = -62282 - -3363337/54. What is the common denominator of (-1)/2*267/(-12) and d?
216
Suppose 0*d - 3*d = j - 50, 4*j - 88 = -5*d. Let f = 1623 - 1619. Calculate the smallest common multiple of f and d.
16
Let t(n) = -n**2 + 3*n + 55. Suppose 87*a = 86*a - 85. Let f = a - -94. What is the lowest common multiple of 36 and t(f)?
36
Suppose -35*t + 33*t = 130. Let c = t - -83. What is the lowest common multiple of 12 and c?
36
Let r = 905 - 513. What is the lowest common multiple of 56 and r?
392
Let f = -11463 + 34411/3. Let n = 32653901/246 + -132739. Calculate the common denominator of n and f.
246
Let l = -47 - -17. Let w be 34 - 0*2/4. Let k = l + w. What is the smallest common multiple of 22 and k?
44
Let n(o) = o**3 - 5*o**2 + o + 2. Let m be n(5). Suppose -2*l = -l - m. Let w(c) = -3*c + 1. What is the least common multiple of l and w(-10)?
217
Let p = -31 - -29. Let l(w) = 7*w**3 - w**2 - 2*w - 4. Let m be l(p). Calculate the common denominator of 121/30 and (9/10)/(m/(-100)) - 1.
30
Let s be (98138280294/(-102780))/(767/(-2)). Let o = s - -2/437957. Let p = o - 2480. Calculate the common denominator of 32/11 and p.
55
Let b be ((-7)/(6020/(-72)))/(6/(-15)). Let r = 2509514 + -215815341/86. Let x = r - b. Calculate the common denominator of x and 125/18.
18
Let y be (11/3)/((-301)/(-21)). Let b = y - 1207/4214. Find the common denominator of b and (-2)/(-80)*(-145 + 11).
980
Suppose -1 = 2*c - 3. Suppose -2*h = -4*g - 40, -23*h = -24*h + 3*g + 21. Calculate the smallest common multiple of h and (54/(-15))/(c/(-5)).
18
Suppose 0 = 9*h + 935 - 1268. Calculate the smallest common multiple of (-39 + h)*14/(-4) and 459.
3213
What is the common denominator of 14/81 and 3621/(-850)*105/(-126)?
1620
Let v(l) = -l**2 - 4*l - 4. Let j be v(-14). What is the common denominator of -23/18 and (-5)/15 - (-726)/j?
72
Suppose -3*y + 2*n + 210 = 0, -2960*n = 4*y - 2963*n - 283. Let d(h) = -5*h**3 + 2*h**2 + h - 2. What is the smallest common multiple of y and d(-2)?
704
Let o(n) = -n**2 - 13*n - 8. Let i be o(-12). Let h be (i/(-3))/(14/(-147)). Let z = h + 6. What is the smallest common multiple of z and 20?
20
Let t be -2 - 7/(49/(-336)). Calculate the least common multiple of 154 and (-1)/(t/4) + (-37929)/(-1081).
770
Let p(c) = -c**2 - 83*c - 1396. What is the smallest common multiple of 168 and p(-24)?
840
Let m = 243719/30 + -8123. Calculate the common denominator of m and -47/204.
1020
Let k(c) be the third derivative of c**6/3 - c**5/60 + c**4/12 - c**3/2 + 86*c**2. Calculate the lowest common multiple of 2 and k(1).
38
Let z = -2/14307 - -329149/629508. What is the common denominator of 1/6*(-73)/10 and z?
660
Suppose -30*h + 162 = -33*h. Let b = h + 80. Find the common denominator of (-6)/(-2) - ((-72)/b - -2) and 3/4.
52
Let g = -17/647827844069 + -90929208737826367/96539305323162380. Let f = g - -46/7451. Calculate the common denominator of f and -73/200.
1400
Let u be (-105)/2*(-3)/102. Let m = 2963/1428 + u. Let f = 282491/21 + -13453. Find the common denominator of m and f.
21
Let l(v) = -2*v + 8. Let w(q) = -6*q**2 + 188*q - 94. What is the lowest common multiple of w(30) and l(-6)?
1460
Let l(p) = -42*p - 79. Let c be l(12). Let w = c - -1678/3. Calculate the common denominator of (-692)/330 - (-2)/5 and w.
33
Let q(k) = 2*k - 3. Suppose -j + 4*y = -28, 2*y = -49*j + 56*j - 144. Calculate the lowest common multiple of q(4) and j.
20
Suppose -5*f = 2*i - 3882 + 484, f + 4*i = 676. Suppose -4*z = -2*g - 34, 0 = 5*z - 5*g + 105 - 170. What is the smallest common multiple of z and f?
680
Let m = -105587 - -137791042/1305. Find the common denominator of -127/60 and m.
5220
Let j be 18/30 - (-8)/10*3. Find the common denominator of (-1590)/(-12)*j/(-45) and 37/84.
84
Let t = -3259 + 3286. What is the lowest common multiple of t and 3417?
30753
Let k(i) = -19*i**3 - 3*i**2 - 2*i. Suppose -6*s + 4*z = -3*s - 13, -5*s + 5*z = -15. Calculate the smallest common multiple of 44 and k(s).
396
Let t be (-1)/2 + 51/(-34). What is the lowest common multiple of (-525)/(-90) + t/(-12) and 1?
6
Let t = 17/1662 + -33649/80607. Find the common denominator of -23/2328 and t.
2328
Suppose 2*f