5
Let p = 683099/1260 + -2712/5. Find the common denominator of -103/14 and p.
252
Calculate the least common multiple of -27*((-10)/(-42) + (-356)/623) and (-6)/((-6)/(-8) + -1).
72
Suppose 0 = -2*y + 804 + 420. Find the common denominator of (-4)/33*45/(-8) and 2/(-3)*(-14)/(1344/y).
44
Let d = 31688 - -17549. Let t = d - 195627/4. Let f = -1483/4 + t. Find the common denominator of -71/12 and f.
12
Let i be -2 + -1 + 17466/(-9). Let p = i + 1920. What is the common denominator of (208/(-364)*(-14)/(-4))/((-18)/(-99)) and p?
3
Let v = -64 + 88. Let u be (-3)/2*(-32)/v. Find the common denominator of (-297)/(-30) - (4 - u) and -81/22.
110
Let p be 100/(-6)*(-90)/(-30). Suppose -3*m - 411 = -138. Let l = m - p. Find the common denominator of -97/6 and l.
6
Suppose -97 = 2*f - m, -4*m - 144 = 3*f - 7*m. Let u = 853/16 + f. What is the common denominator of u and ((-39)/(-54) + 2/(-9))/17?
272
Suppose 12 = -108*n + 112*n. Suppose -5*f + n*s - 100 = -9*f, 3*s = -5*f + 122. What is the lowest common multiple of 6 and f?
66
Let s be -80 + -401 - 1*7. Let z = -39916/21 + 1898. Find the common denominator of z and s/(-476) - (6/(-17))/3.
21
Let h = -6/239 - 10265/478. Let b = 431397/245630 + 3/3509. What is the common denominator of h and b?
70
What is the common denominator of 6/29 and (336/40 - -3)/(((-14)/(-5))/(-1))?
406
Suppose v - 2*i = 13, -5*v - 4*i + 3 = -6. Suppose -v*f - 20 = -5*c, -5*c + 23 = -0*f - 2*f. Calculate the lowest common multiple of 30/(-10) - (f + -6) and 1.
2
Let g = 86/42345 + -511253/27016110. Find the common denominator of 169/3828 and g.
11484
Calculate the common denominator of (-6 - (-1239)/210)/(29/67) and 26/261.
2610
Suppose -3*x = -n + 267486, -2*x - 154733 = 2*n + 23591. Let t = x - -9005435/101. Let v = -8315/1212 - t. Calculate the common denominator of 59/32 and v.
96
Let j(u) = -13*u - 43. Let q be (-4 + (-16)/6)/((-4)/(-18)). What is the lowest common multiple of 5/(q/(-4))*15 and j(-11)?
100
Let k = -1198/23 + 21453/460. What is the common denominator of ((-4)/96)/(8/(-116)) and k?
240
Suppose 2*l = 2*j - 12, l - 8 + 10 = -j. Calculate the smallest common multiple of 66/(-5)*((-30)/l)/(-3) and 12.
132
Let w(n) = -9*n**3 + 2*n**2 + 3*n + 2. Let o be w(-2). Let j = o - 3. Let p = 91 - j. Calculate the lowest common multiple of 11 and p.
198
Calculate the lowest common multiple of -168*(2/7)/((-4)/60) and 90.
720
Suppose -45*l - 4*l + 2205 = 0. What is the smallest common multiple of 45 and l?
45
Suppose -144*y + 7067157 = 116*y - 7176163. Calculate the lowest common multiple of y and 12.
328692
Let i(v) = -3*v + 7. Let c(k) = k**3 + k**2 + 5*k - 35. Let t be c(4). Suppose -t = -9*y + 79. What is the least common multiple of y and i(-5)?
176
What is the common denominator of (-390)/132 + 27 + -20 and -71/17818?
195998
Suppose 18 + 2 = 2*f - 3*t, 5*t - 18 = -4*f. Suppose -4 = f*x - 11*x. Find the common denominator of 3/((-12)/x) + 57/33 and 69/32.
352
Let m = -8151190 - -195475111/24. Let i = m + 6391. Find the common denominator of i and 71/10.
120
Suppose -3*p - 64 = -k, 4*k + 17*p - 229 = 20*p. What is the lowest common multiple of k and 51 + (0 - (2 + -1))?
550
Calculate the common denominator of (-9443)/(-858) + -79 + 68 and -139/18.
2574
What is the common denominator of 75/298 and (1 + 146/(-149))*(-402)/(-36)?
298
Let r be (-1)/(-3) + ((-111)/9 - -1). What is the common denominator of -43/13 and ((-36)/(-144))/(r*2/(-40))?
143
Let q be 31 + -40 - (-1949)/16. Let u = q - 6287/56. Find the common denominator of -27/5 and u.
560
Let r be 392442/1290 + (2/1 - 2). Let c = r + -1519/5. What is the common denominator of c and 3/12 + (-3)/4?
86
Let w = 272 + -248. Let i(j) = -3*j**2 - 4*j - 2. Let p be i(-2). Let d(b) = b**3 + 4*b**2 - 13*b. Calculate the smallest common multiple of d(p) and w.
24
Let n be (-95)/(-80)*(-11 - -6). Let g = -23/4 - n. What is the common denominator of g and -31/11?
176
Let h = -79 - -1. Calculate the smallest common multiple of 8 and ((-534)/h - 7) + (-4788)/(-26).
184
Calculate the common denominator of (-1 - -3)*4347/828 and -59/2508.
2508
Let y = -65102 + 17772905/273. What is the common denominator of 51/784 and y?
30576
Let v(s) = 313*s - 448. What is the smallest common multiple of v(5) and 1?
1117
Let h = -1216 - -17053/14. Calculate the common denominator of -4 - (-255)/60 - (-218)/88 and h.
154
Suppose -15*d - 3110 = -3560. What is the smallest common multiple of 25 and d?
150
Suppose -z - 7*z - 48 = 0. Let b be ((-2)/(-5))/(z/(-15)). Calculate the common denominator of ((-2)/((-16)/(-200)))/(3*b) and 11/6.
6
Let f(z) = -2*z**2 + 33*z - 10. Calculate the smallest common multiple of 138 and f(16).
138
Find the common denominator of -18/67 and 56/98*14/(-4) - 264/(-28).
469
Let c be (4/16)/((-9)/(-828)). Calculate the common denominator of (-39)/6 + (-5 - c/(-4)) and 63/158.
316
Suppose -4*u + 5*b = 2*b - 85, 4*u - 5*b - 83 = 0. Suppose -g + u = g. What is the lowest common multiple of (-35)/(-10)*1014/273 and g?
143
Let x = 1/11014 - -655321/132168. Calculate the common denominator of x and (-4)/50*(7 - 2422/336)*-178.
120
Let c be ((-16)/(-6))/(1 + 15/(-18)). Suppose 2*t - c = -2*t. Suppose 3*v - 9 + 14 = 5*m, -2*m + 2 = t*v. What is the lowest common multiple of 5 and m?
5
Suppose 3*f = 5*b + 132, -88 = 5*b + f + 28. What is the common denominator of -16/37 and (b/110)/((-81)/1350)?
407
Let t = -448/5993 - 139628219/35958. Let l = t - -3903. What is the common denominator of l and -79/4?
12
Suppose -10*a - 21 = -6*a + d, -a = 2*d + 14. Find the common denominator of (-157)/(-88) - (3 - 1) and 851/370 + a*2.
440
Let p = -30153 + 38294303/1270. Let n = -9959/1905 + p. Find the common denominator of 18/5 and n.
30
Suppose -10 = -5*s + 3*y, 30*y + 30 = 3*s + 33*y. Calculate the least common multiple of s and 19.
95
Let q be (-4)/14 - 207/(-63). Calculate the common denominator of -11/60 and (-1)/84*(q/(-1) + 253).
420
Let l be ((-71014810)/(-16))/(18/(-723)). Let w = l - -178252790. Let o = -23970 - w. What is the common denominator of -1/33 and o?
528
Suppose -165 = -3*n + 102. Let w = -87 + n. Suppose j + o - 15 = -2*o, -41 = -5*j + w*o. Calculate the smallest common multiple of 2 and j.
18
Let y(x) = x**3 + x**2 - 1. Let c be y(-1). Let q be (1 - c) + (-1 - -3). What is the smallest common multiple of 20 and 9/(-18) - (-42)/q?
20
Let v = 198291 + -46400203/234. What is the common denominator of v and 27/52?
468
Let k = -60289/16 - -3767. Find the common denominator of k and (205/(-150))/((-2)/6).
80
Let q = 3/13085 + -149343/758930. What is the common denominator of -69/20 and q?
580
Let u = 2/246361 - 29317223/32519652. Find the common denominator of u and 2/24*186/(-22).
132
What is the common denominator of 9/13 and (2 - 1 - -4) + 1026*33/(-6556)?
3874
Suppose 0 = -3*h + 30*x - 35*x + 55, x - 47 = -3*h. What is the least common multiple of 318 and h?
1590
Let q be 2/4 + 23/46 - -333. Let c = q + -299. What is the smallest common multiple of 30 and c?
210
Let u(f) = 55*f**2 - 9*f + 25. Let m be u(10). Suppose 4*s + m = 3*v, 5*v + s - 7253 = v. Let l = -16345/9 + v. Find the common denominator of l and 57/8.
72
Let k = 4/71 - 1006/213. Find the common denominator of k and (4/30)/(112/1644).
210
Let c(n) = n**3 + 24*n**2 - 25*n + 140. What is the smallest common multiple of 224 and c(-25)?
1120
Suppose 316*j - 315*j - 5342 = -3*h, 6*j - 4*h - 32008 = 0. Calculate the lowest common multiple of 696 and j.
16008
Suppose -5*b + 14*b - 207 = 0. Let c be (-4)/14 - 191/(-7). Let p = c - b. What is the least common multiple of p and 6?
12
Let s(b) = b**3 + 25*b**2 + 4*b - 155. What is the smallest common multiple of 117 and s(-24)?
2925
Let s(t) = -t**3 + 4*t**2 - 18*t - 67. Let b be s(-4). Let d(j) = j**2 - j - 2. Calculate the least common multiple of (-40)/(-48) - b/(-42) and d(5).
36
Let u be 3/((-2)/(-48)*4). Calculate the common denominator of 12/u + (-565)/60 and -43/36.
36
Let t(l) = -14*l - 3. Let g be t(-1). Suppose -2*d = -g*d + 27. What is the lowest common multiple of 8 and d?
24
Let z(t) = -t**2 - 26*t + 423. What is the lowest common multiple of 120 and z(-33)?
960
What is the smallest common multiple of (-241 - -178)*(2 - 3)*13 and 105?
4095
Let d be (1492/(-1