 What is the smallest common multiple of 624 and g?
4368
Let j(h) = -38*h**3 - 72*h**2 - 369*h - 1. What is the least common multiple of 187 and j(-5)?
52734
Let w(v) = 2123*v + 6627. What is the least common multiple of 42 and w(-3)?
1806
Calculate the common denominator of -127/234 and ((-4)/(-110))/(84/(-1645)).
2574
Suppose -30*r + 36*r = 18. Suppose 11*y - 126 = -r*y. Suppose -4*s = -2*v + 28, -v = v + 2*s - 10. Calculate the lowest common multiple of y and v.
72
Find the common denominator of -17/66 and (-161570)/(-35310) - 1*(-16)/(-6).
66
Let z be (1/((-2)/3))/(9/(-60)). Suppose z*f - 294 = 686. Calculate the least common multiple of f and 8.
392
Suppose -4*r - 5*a + 14 = 0, r + 2*a - 1 = 1. Suppose 231 - 1191 = r*k. What is the common denominator of (-12)/(-1)*(-4 - 562/k) and 99/14?
140
Suppose -34*q + 1940 = 63*q. What is the lowest common multiple of 1960 and q?
1960
Suppose 3*j + 2*t = -362, 3*j + 5*t - 149 = 4*j. Let c = 141 + j. Let m = -3 + 11. Calculate the least common multiple of m and c.
136
Let c be ((-18)/(-3))/(-6)*4/(-2). Suppose -4*x - c*b = -262, -3*x + 5*b - 79 = -4*x. What is the lowest common multiple of x and 8?
64
Let p(n) = 8*n + 88. Suppose 6*i - 28*i - 132 = 0. What is the smallest common multiple of p(i) and 10?
40
Let z = 18948 - 17506. Calculate the smallest common multiple of 84 and z.
8652
Let u = -1643897/2388 - -89/597. Let v = u + 663. What is the common denominator of v and 5/4?
4
Let g(m) = 14*m + 315. Let a be g(-36). Let h = 199 + a. What is the smallest common multiple of h and 194?
970
Let t = 1375/756 - 47/84. Let l = 750 + -24703/33. Calculate the common denominator of t and l.
297
Let i = -156 + 141. What is the least common multiple of 360 and 1*(-5 + i*(-6)/9)?
360
Let d = 17150 + -17134. What is the least common multiple of d and 240?
240
Let l(n) = -6*n + 26. Let h be l(4). Let s(y) = 3*y**3 + 7*y**2 - 10*y + 2. What is the lowest common multiple of s(h) and 11?
374
Suppose -3*t = -50 - 82. Calculate the common denominator of (-8)/6*69/(-6) and 10*(-3)/6 - (-100)/t.
33
Suppose 8 + 55 = -3*b. What is the common denominator of ((-48)/(-55))/3 - (21 + b) and -101/50?
550
Suppose 32*w = 47*w - 120, 4*k = -w + 10568. Calculate the smallest common multiple of 880 and k.
2640
Suppose 4*h + 4 = 0, -4*t - 6*h + 8*h = 114. Calculate the common denominator of 6 + t/(-4) + 7 and -63/142.
284
Let q(c) = 5*c - 9. Suppose -5*f + 87 = 2*r, -30*r + 5*f + 51 = -29*r. Calculate the least common multiple of r and q(5).
368
Let q(v) = 35*v + 46. Let o be q(-4). Let n = -153/2 - o. Calculate the common denominator of n and 1/5.
10
Let n = -29300 + 996129/34. Let s(p) = p**2 - 9*p + 16. Let b be s(5). What is the common denominator of (52 + b + 2)*(-5)/(-24) and n?
204
Let o(w) = -w**3 - 4*w**2 + 2*w - 15. Let a be o(-5). Suppose a = 4*q + 127 + 33. Calculate the smallest common multiple of 2/5 + (-1744)/q and 48.
528
Let i be (-3 + 43290/308)*(-2)/(-664). Let f = i - -169/664. Calculate the common denominator of f and 2/(24/(-4)) - 118/132.
154
Let q be 1 + (-1)/(4640/(-72025)). Let m = q - 442/29. Calculate the common denominator of m and -39/22.
352
Let f = -147655/11 + 13422. What is the common denominator of 81/1622 and f?
17842
Let t = -246 + 2001/8. Suppose -2*a - 5*r - 2 = 0, 3*a - 3*r - 15 = 3. Calculate the common denominator of 4*a/((-528)/(-9)) and t.
88
Let d be -8 - (-7)/(21/39). Suppose -5*w = -2*m - 212 + 4, 140 = 4*w + d*m. What is the smallest common multiple of 115 and w?
920
Let m = 308/13 + -42838/1807. Let o = m + -3467/556. Find the common denominator of o and (1/4)/((-28)/412).
28
Suppose -1092*b + 1094*b + s - 413 = 0, -5*b + 2*s + 1064 = 0. Calculate the least common multiple of b and 33.
2310
Let z be (-2)/(-7) + 1390/(-14). Let u = -3228 - -3120. Let y = z - u. Calculate the smallest common multiple of y and 3.
9
Let b = 8761249/1213596 - 4737/661. What is the common denominator of -61/60 and b?
9180
Let j(u) = 9*u**2 + 5*u - 333. Calculate the lowest common multiple of 759 and j(-15).
37191
Let b(i) = 0*i**2 - 1 + 5*i - 1 - i**2. Suppose 3*v + 1503*t - 1506*t = 0, 6*v - 8 = 2*t. What is the lowest common multiple of v and b(3)?
4
Suppose -7*h + 11*h = 2*w + 64, 0 = -w + 4. What is the lowest common multiple of h and 1144?
10296
Suppose 4*g = 5*g - 12. Let f = 36 - 19. Let a = 1 + f. What is the smallest common multiple of g and a?
36
What is the lowest common multiple of (88400/(-442))/((-2)/14) and 3?
4200
Let q = 4967 + -4947. Calculate the lowest common multiple of q and 18.
180
Find the common denominator of -29/86 and (18/28 - 3) + (-156)/39.
602
Let g(k) = -k + 20. Suppose -7*u - 2*a + 35 = -2*u, u + 5*a - 30 = 0. Calculate the least common multiple of g(u) and 11.
165
Let h be 4181333/(-234) + -2 - 3/4. Let y = -41787 + 23914. Let z = y - h. What is the common denominator of z and 101/18?
36
Let c(t) = 111*t + 21681. Calculate the smallest common multiple of ((-8)/(-10))/((-12)/(-30)) and c(-193).
258
Calculate the common denominator of 13 and (-1)/(46 + (-108)/(-9) + -7).
51
Let a = 10900/2779 + 5/794. Let n be (3/21)/(21156/7). Let k = n + 256513/74046. What is the common denominator of a and k?
28
Suppose 4*b = -2*l + 38, -35*l + 33*l = 5*b - 50. Calculate the least common multiple of 78638 and b.
471828
Let y = 9507/880 - 165/16. Let d = -11/607 + 50601/12140. What is the common denominator of y and d?
220
Let o be (-23051)/7 - 1*4. Let t = -26313/8 - o. Calculate the common denominator of (666/119)/(-1) + (-2)/17 and t.
56
Let h = 11/2733 - 38935/393552. Find the common denominator of h and -95/216.
432
Suppose 4*x + 0*x = 2*n + 72, x - n = 16. Suppose -x*c = -23*c + 72. Calculate the least common multiple of 3 and (-60)/c*(-4)/5.
6
Let n = 2733/5 - 29833/55. Let r = -413 + 3157/8. Let i = 1905/104 + r. Calculate the common denominator of i and n.
572
Suppose 40*x - 20 = 44*x. Calculate the lowest common multiple of 120 and x/(-2)*1056/40.
1320
Suppose 6*m = 1455 + 459. Suppose -m + 25 = -7*z. Calculate the lowest common multiple of z and 66.
462
Suppose c - 4 = p, -11 = -3*c + 5*p + 9. What is the smallest common multiple of (-142)/(-36) - (-86)/1548 and 1 - c - (-3 + 0)?
4
Let g = 6394686671/106776956 + -373470/6437. Let c = g - 62/377. What is the common denominator of 101/2 and c?
44
Let p(z) = -2*z**3 - 49*z**2 - 25*z + 24. Let b be p(-24). Let t = b + -16. Calculate the smallest common multiple of ((-6 - -2) + 0)*-1 and t.
32
Let s(v) = -51*v - 606. What is the lowest common multiple of s(-12) and 51?
102
Let s be (23 - 21)*(1 - 0). Suppose -2*a + 15 = 2*x - 11, s*a - 27 = -x. What is the least common multiple of 14 and a?
14
Suppose 3*g - 8*a + 5*a = 195, -5*g + 334 = 4*a. What is the common denominator of (67/g + -1)*-131 and 70/3?
66
Calculate the common denominator of (1 + (-26)/18)*(-282)/240 and 91/270.
270
Let a(h) = h**2 + 23*h + 163. Calculate the lowest common multiple of 27 and a(-10).
297
Suppose 0 = 5*y - 13 - 42. Calculate the smallest common multiple of 3/7 + 873*9/189 and y.
462
What is the common denominator of 4/(-14) - 951/(-756) and ((-2210)/8)/13*(-64)/(-6240)?
468
Let r = -2629/1080 - -8/135. Let q(f) = 145*f**2 + 4*f - 2. Let b be q(1). Calculate the common denominator of r and (23/(-69))/(10/b).
40
Suppose 5*z = -6*n - 4*n + 1210, 4*n = 4*z + 496. What is the lowest common multiple of n and 305?
610
Let t = -30 + 21. Let x = -10/603 - -19517/1206. Calculate the common denominator of x and (50/(-14))/(6/t).
42
Let m = -375431/30 + 12513. Calculate the common denominator of m and 49/291.
2910
Let s = 7261/184174 + -42/1297. Find the common denominator of -19/8 and s.
568
Let b = -293775/392 - -5247/7. Find the common denominator of -95/686 and b.
2744
Suppose -3*l - 8 = -14. Suppose 3*n - l*y = 19, 0*y + 5*y + 22 = -n. Suppose 0 = 27*a - 57 - 240. Calculate the smallest common multiple of n and a.
33
Let k = 18781/2743488 + 1/3897. Find the common denominator of -7/8 and k.
704
Let v(u) = 266*u**2 + 6*u - 2. Let y be v(-2). Find the common denominator of 77/120 and (1 + 4/6)*(-1596)/y.
120
Let w = 612 - 612. Suppose w = -262*g + 247*g + 3000. What is the lowest common multiple of g and 100?
200
Let b = 9083063/306 - 59367/2. Find the commo