
45
Let k = -18045 - -1515751/84. Calculate the common denominator of 41/756 and k.
756
Let d = -376 + 325. Find the common denominator of 2 + d/21 - 54/126 and -69/520.
3640
Let a = -415153/427593 - 2/18591. What is the common denominator of a and 4/6 + 4/42?
483
Let a be 3 - -14*(-6)/12. Find the common denominator of 2678/(-520) + ((-1)/(-1) - a) and 67/58.
580
Calculate the least common multiple of (12 - (452/(-4) - -4))/((-1)/(-6)) and 594.
6534
Let y = -155409629 + 4661578931/30. Suppose 3*p + 0*p = o + 23685, 4*o - 5*p + 94705 = 0. Let c = y - o. What is the common denominator of 74/3 and c?
30
Let x(f) = f**3 + 20*f**2 + 101*f + 1807. Calculate the smallest common multiple of x(-15) and 327.
4251
Suppose -78*o + 75*o = 864. What is the least common multiple of 14 and ((-3)/4)/(54/o)?
28
Suppose 0*s - 88 = -2*s. Suppose m + s = 5*m. Suppose 7*h - 227 = -164. Calculate the lowest common multiple of m and h.
99
Suppose c = -5*j - 43, 2*c - 3*j - 33 = 3*c. Suppose 0*g - 34 = -3*h - 5*g, 4*h + 3 = 3*g. Calculate the common denominator of c*(36/(-32))/h and -3/8.
8
Let n(i) = i**3 - 17*i**2 + i + 96. What is the lowest common multiple of n(0) and 213?
6816
What is the common denominator of 23/380 and (-2)/(-14)*(-10)/100*19?
2660
Suppose 0*c + 2*i = c, c + 6 = 4*i. Let o(s) = s**2 + 5 - 3*s - 7 - 6 + c*s. What is the smallest common multiple of 44 and o(4)?
220
Let u = 3537436 + -604893100/171. Let x = -796/19 + u. Calculate the common denominator of x and (1/(1/20))/((-1105)/(-221)).
9
Let i be (-2)/(16/6) + (-123)/(-4). Let u be (-1 - -3)/(0 + (-4)/i). Calculate the lowest common multiple of (4 + 2)*u/(-9) and 8.
40
Let i = -1275899639/2206 - -578377. Find the common denominator of i and -113/18.
19854
Suppose -39*m + 42*m = -3. Let w be ((-3)/(-9)*m)/(2717/14057). Let k = 2/741 - w. Find the common denominator of -56/11 and k.
11
Let q = 739201 - 465696769/630. Let v = 30033/322 + -2298/23. Find the common denominator of v and q.
630
Let z(t) = 169*t**2 + 50*t - 54. What is the lowest common multiple of z(-4) and 1715?
17150
Let q be ((-130)/39)/((-2)/(-3)). Calculate the common denominator of q + -9 + 15 - (-17)/(-44) and 65/24.
264
Suppose 7*w + 41*w - 2112 = 0. Let i = -32 + w. Let c(x) = x**2 - x + 2. Calculate the lowest common multiple of i and c(0).
12
Let q(o) = 592*o + 3037. Calculate the least common multiple of 4816 and q(-5).
52976
Let f(m) = -37*m - 180. Let a(l) = -37*l - 182. Let x(k) = 5*a(k) - 4*f(k). What is the smallest common multiple of 16 and x(-6)?
32
Let w = 100 - 110. Let z(j) = -6*j + 4. Calculate the smallest common multiple of 32 and z(w).
64
Let f(h) = 5*h + 30. Let b be f(-6). Suppose b = a + a - 6. Suppose -a*g = 6*g - 36. What is the lowest common multiple of 6 and g?
12
What is the common denominator of -163/900 and (-1)/((-168)/13622*-7)?
900
Let t = 8745 + -8644. What is the least common multiple of t and 404?
404
Let h(y) = -y**2 - 19*y - 16. Let n be h(-18). Let l be 650042/(-120)*((-8088)/4041 + n). Let r = l + 28/2245. Find the common denominator of r and -75/44.
396
Let v(c) = -18*c**2 - 1 - c + 0 + 121*c**2. Let k be v(-1). Let h = k + -83. Calculate the smallest common multiple of 18 and h.
180
Let g = -1650 + 1683. Calculate the smallest common multiple of g and 13*(4 - 2) + -2.
264
Let n be (2/3)/(1/(-27)). Suppose 5*o - 5*h = -470, -3*o + 196 = -5*o - 2*h. Calculate the common denominator of (-50)/o + n/36 and 93/2.
48
Let c = -1495 - -2907/2. Let p be (-3)/15 - (1 - 121839/355320). Let h = -68/423 + p. What is the common denominator of h and c?
56
Let h(g) = g**3 - 21*g**2 - g + 27. Let a be h(21). Let q be ((-28)/21)/(4/a). What is the least common multiple of 6/q + 2/(-2)*-19 and 68?
272
Find the common denominator of -8 - (3*(-32708)/459)/((-2566)/(-96)) and -49/9.
11547
Let a = -426 + 290. Find the common denominator of ((-2)/12)/((-6)/150) and (5250/a)/(-15) - (-4)/(-2).
204
Let l be -1 + 1 - (-41 + -49). Let f = -78 + l. Calculate the lowest common multiple of 33 and f.
132
Let d = -236 + 231. What is the smallest common multiple of 7 and (-4)/(3*1/(15/d))?
28
Let v(y) = -13*y + 27. Suppose -5*t = -4*a - 10, -5*t - 3 = a + 12. Calculate the least common multiple of v(a) and 4.
92
Suppose -24 = -5*w + 2*h, 6*w - 2*w - 20 = 2*h. Suppose 0 = -w*l - 2*i + 54, -l - 9 = -16*i + 21*i. What is the lowest common multiple of 12 and l?
48
Let w(f) = 11*f + 75. Let h be 0 + 1 + (18 - -4). Suppose -15*q - 113 + h = 0. Calculate the smallest common multiple of 12 and w(q).
36
Let j = 38810 + -34929007/900. Find the common denominator of 121/180 and j.
900
Let h = 519704061/4390 - 591918/5. Calculate the common denominator of 19/4 and h.
8780
Suppose 3 = -3*h, -v - 4*h = -5 - 6. Let j(k) = 152*k - 14. Let d be j(v). Let q = -18099/8 + d. What is the common denominator of 49/25 and q?
200
Let o(w) be the first derivative of 23*w**2 - 86*w - 83. What is the lowest common multiple of (-1 - (-2)/4)*-12 and o(2)?
6
Let g = -673/396 + 169/72. What is the common denominator of -53/2090 and g?
8360
Let i = 23549/1636910 - -11/3235. Find the common denominator of i and 25/66.
1518
Suppose -4*l + 6837 = 5*u, -2*l + 5*l + u = 5136. Calculate the lowest common multiple of 6 and l.
3426
Let n(u) = -30*u - 258. Let b be n(-6). What is the common denominator of (b/(-117))/((-4)/5) and 52/519?
1038
What is the lowest common multiple of ((-2)/11 + 6786/(-1276))*(-11 + 3) and 3/12 - 14/(-8)?
44
Suppose -233*r - 3*z + 417 = -229*r, -4*r - 5*z + 407 = 0. Suppose y - 14 = 3*x + 4, 3*y = -5*x + 26. Calculate the lowest common multiple of r and y.
108
Suppose -2 + 30 = -4*t. What is the least common multiple of 98 and (-290)/(-15) + t/(84/(-8))?
980
Let b = -69651/353 - -128183913/7060. Let l = b - 17953. Calculate the common denominator of l and -31/450.
900
Suppose -1676 = -2*w - x, 2*w + 102*x - 104*x = 1664. Calculate the least common multiple of 456 and w.
5016
Let y(o) = 131*o - 52. What is the smallest common multiple of 90 and y(2)?
630
Suppose 0 = -2*i + 3*w + 155, 50 = i + 58*w - 54*w. What is the lowest common multiple of i and 301?
3010
Find the common denominator of 2277/(-1480) - (-5 + (-4 - 165/(-22))) and 47/888.
4440
Let a = 13776 + -5083340/369. Let w = 13493/14760 + a. Calculate the common denominator of w and -91/20.
40
Let y(l) = -6*l - 30. Let d be y(12). Let m = 242 - d. What is the least common multiple of 8 and 1 - m/(-6) - (-7)/(-21)?
232
Let y = 543 + -11939/22. Let j = -1/317256 + 49095377/3489816. Let n = j - y. Calculate the common denominator of n and -47.
4
Suppose -q + 153 = 138. Suppose x = -q + 16. What is the lowest common multiple of x and 3?
3
Let g = -341 - 1779. Let p = -12683/6 - g. Find the common denominator of p and 107/(-21) - 1*(2 + -3).
42
Find the common denominator of 5/354 and (-226)/(-120) - 5/(-30).
3540
Let t be 141/(-30) + (-39)/130. Calculate the lowest common multiple of 20 + (t - -3)*-1 and 10.
110
Suppose 27 = -5*f + 2. Calculate the common denominator of -151/18 and (305/12)/f*2/(-5).
90
Let q = -165841/29 - -5717. What is the common denominator of q and 487/(-14610) - 494/(-60)?
145
What is the common denominator of (-271)/(-144) + ((-10)/(-180))/(4/16) and 37/36?
144
Let n = -260/2889 + -30/107. Let v = 5/23 + -97/552. Calculate the common denominator of n and v.
216
Let q = -24 + 28. Suppose 0 = 2*o - q - 0. Suppose -7*n = -o*n - 10. What is the smallest common multiple of 20 and n?
20
Find the common denominator of 8/121 and (2180/(-8393))/(138/49).
8349
What is the smallest common multiple of 9176 and 4*-45*9/(-81)?
45880
Let w be 580/(-128)*2064/9720. Let l be 2/(-2) + (-83)/(-81). Let h = w + l. What is the common denominator of -101/4 and h?
16
Suppose 0 = 7*n - 34 - 274. Suppose -n = -10*d + 16. What is the smallest common multiple of 8 and d?
24
Let j = -67891/45 + 1508. Let n = 11154 - 557767/50. What is the common denominator of n and j?
450
What is the common denominator of -37/10 and (3868/(-220))/(48034/(-525)) + (-44)/242?
34310
Find the common denominator of 43/231 and ((-4613)/462 - -10)/1*316/(-2).
231
Suppose 3*n - 2 = 13. Let t be (6/n)/((-6)/20). Calculate the lowest common multiple of 1 and (-2)/t*(14 - 0).
7
Let v be (-2)/(-77)*(0 + (-809