((-49)/21)/((-2)/t). Find the common denominator of a + (-3702)/396 + (-2)/(-11) and 27/8.
24
Calculate the common denominator of (627/(-96) - -3)/(2/((-48)/1242)) and -83/4140.
8280
What is the lowest common multiple of (-15)/(-90)*-2 - (-5 - ((-820)/(-12) - 3)) and -1*7*1*-18?
630
Let k = 3262420433/125560 - 107620/3139. Let z = k - 25947. Find the common denominator of z and 143/60.
120
Find the common denominator of ((-54850)/3990)/5 - 48/(-28) and -2/2151.
40869
Suppose y + i = 0, -3*y + 0 = -5*i - 16. Suppose -4*r + 224 = 4*z, -2*r + y*z = -z - 107. What is the common denominator of (r/150)/((-2)/(-55)) and -63/16?
48
Let v be (-65)/260 - ((-174)/(-8) - 0). Let h(l) = l**3 + 22*l**2 - 6*l + 22. Let t be h(v). Let k = t + -88. What is the least common multiple of k and 4?
132
Let o(g) = -4*g**2 - 17*g. Let k = 602 + -605. What is the least common multiple of o(k) and 45?
45
Let n = 12 + 21. Suppose 29 = -4*d + 13. Calculate the smallest common multiple of ((-1040)/7)/(-5) + d/(-14) and n.
330
Let r(j) = -872*j - 16284. Calculate the smallest common multiple of 3 and r(-19).
852
Suppose -2207*h + 1383 = -2183*h - 993. Calculate the lowest common multiple of h and 242.
2178
Let a = -863 - -919. What is the least common multiple of 824 and a?
5768
Let z(d) = -6*d - 59. Let n be z(-8). Let g = 13 - n. What is the lowest common multiple of 30 and g?
120
Let k = 250017 - 696547335/2786. Calculate the common denominator of 31/12 and k.
16716
Let u = -14040 + 14046. What is the least common multiple of u and (119 + 1 + -2)*1?
354
Let l = -2 + 79/20. Find the common denominator of l and -35/6.
60
Let i be 63/9 - (1 + 0). Let t(f) = -8*f + 20. Let m(k) = -k. Let s(p) = 4*m(p) - t(p). Calculate the least common multiple of s(i) and 20.
20
Find the common denominator of (-50053)/6258 - (-2)/10*40 and -17/2384.
50064
Suppose 4*y - 28 = -4*l, 6*l - 26 = -2*y + 7*l. Suppose -4*v + 2*v = -54. What is the smallest common multiple of y and v?
297
Let w be (-867)/(-12) + 2/(-8). Suppose -w - 90 = -2*c. What is the common denominator of 47/15 and 24/c*207/(-36)?
135
Suppose 8 = -2*q - 4*v, 0 = -3*q - 3*v + 2*v - 7. Find the common denominator of (6/10)/(-1) + 202/40 and (-153)/24 + 4 + q.
40
Suppose 5*p - 3592 = -0*p - 2*f, -2*p + 1444 = -f. What is the lowest common multiple of 8 and (-1)/(-5) + (3 - p/(-25))?
32
Suppose f = -2*f + 48. Let c(g) = f*g**2 + 11*g - 12*g**2 - g**3 - 14*g**2 + 8. What is the smallest common multiple of 4 and c(-11)?
8
Let g(k) = 10*k + 4. Suppose f - 4*q - 4 = 3*f, -5*q = 15. Suppose 0 = -f*m + 2*m + 2. Calculate the least common multiple of 12 and g(m).
84
Let p(x) = 10*x**3 + 3*x**2 + 55*x + 23. Let v be p(-11). Let t = v - -324775/24. Find the common denominator of -47/11 and t.
264
Suppose -4*g = -4*h - 12, -2*g + 3*g + 5*h = -9. Suppose -n + 48 = n - 5*f, 3*n - 2*f - 50 = 0. Let t = -8 + n. What is the smallest common multiple of g and t?
6
Suppose 9 = -t - 61. Let h = 75 + t. Suppose -m + h*s = -192, 3*s - 105 + 503 = 2*m. Calculate the lowest common multiple of 18 and m.
1818
Calculate the common denominator of -17*-3*(-5)/72270*(-207)/(-46) and 13/584.
6424
What is the common denominator of (4 + 8024/(-2000))/((-36)/1810) and 39/35?
2100
Suppose 0 = -c + 3*v + 29, -68*v - 25 = -5*c - 73*v. What is the smallest common multiple of 1201 and c?
13211
Let a(o) = 2*o**2 - 56*o + 60. Let i = -133 - -160. What is the lowest common multiple of 74 and a(i)?
222
Let v be (76559 - 1)/(191511/(-63) - 3). Let r = v - 12/1775. Find the common denominator of 11/5 and r.
30
What is the lowest common multiple of (-1 + 1547/(-28))/(15/(-40)) and 18?
450
Let z = 2052084899/25830 - 715012/9. Find the common denominator of z and 77/20.
5740
Let l = 404/9 + -7355/144. Calculate the common denominator of l and (-448)/(-1232) + 3702/(-2860).
1040
Let f = -56 - -40. Let j = 2 + f. What is the common denominator of 16/15 and (7/(147/285))/(24/j)?
60
Let v(p) = 49*p + 11 + 55*p - 103*p. Let x be v(-13). What is the least common multiple of ((-342)/15)/(x + 16/10) and 6?
114
Let h = 11/2818 - -63383/5636. Calculate the common denominator of h and 21/20 + 2 + 0.
20
Let v = -57682 + 57704. What is the smallest common multiple of (-8)/(-5) + 4/10 and v?
22
What is the common denominator of 17298/4154 - (-1 + 5) and -113/6?
402
Suppose -b + 8 = 0, -g + 2*b + 126 = 17*b. What is the least common multiple of g and 8094?
8094
Let l = 5033 + -3657. What is the lowest common multiple of 12 and l?
4128
Let p = -8 - -30. Let x = 16 - p. Calculate the least common multiple of 8/6 - 4/x and 22.
22
Let k = 1/29784 + -526193/268056. What is the common denominator of (1105/(-204))/(-4 - 18/(-4)) and k?
54
Let q = -63184 + 3791173/60. What is the common denominator of -20/57 and q?
1140
Let w(m) = 13*m**2 - 21*m - 656. What is the smallest common multiple of w(8) and 24/(3*(-1)/(-2))?
16
Let i be -3*6/60612*(-16)/12. Let c = 298029/50510 - i. Find the common denominator of 23/255 and c.
510
Let j = 34 - 32. Let v = 2018 - 2014. Calculate the least common multiple of j and v.
4
Suppose -7*o + 20 + 8 = 0. Suppose -5*n = 2*i - 12, -3*i - o*n = -38 + 6. What is the smallest common multiple of i and 260?
1040
Suppose 0 = -j - 4*h + 139, 129 = j - 2*h + 14. Suppose 0 = j*m - 115*m - 96. Calculate the smallest common multiple of 26 and m.
156
Calculate the common denominator of (40/(-168))/((-40)/(-144)) and -13/802.
5614
Let o(c) = -c**3 + 2*c**2 + 99*c + 9. What is the smallest common multiple of o(-9) and 410?
3690
Let i = -125706 - -4273907/34. Find the common denominator of 63/8*27/(-42) and i.
272
Suppose 2*q = 3*c + 51, -q = 2*q - 5*c - 74. Let u = -43414 + 43453. What is the smallest common multiple of u and q?
429
Calculate the common denominator of 83/64 and (-5384)/10752 - 115/(-161).
192
Let s = -534325994467/131218 - -4072048. Let r = s + -8988223/9185260. Find the common denominator of -39/14 and r.
140
Let y = 5447/20 + -272. Let i = 2707/55 + 35/11. Let b = i + -813/20. What is the common denominator of y and b?
20
Let x = 1113613/83200 + -1/6400. Let n = 4349/390 - x. Calculate the common denominator of 17/234 and n.
1170
Calculate the common denominator of (-3995)/(-470) + (76/70 - 4/14) and 1/1927.
19270
Suppose 2*p = 3*p - 18. Suppose -2*i + p + 8 = 0. What is the lowest common multiple of i and (-20)/(-70) - (-640)/112?
78
Let p = -6153 + 16418. Let f = -153138637646/14915271 + -46/710251. Let r = p + f. Calculate the common denominator of r and -67/42.
42
Suppose -3*a = -8*a - 4*o + 1558, 4*a = o + 1238. Calculate the common denominator of (-1)/(-4) - a/(-88) and -4 - (-2471)/546 - (0 + 1).
858
Let r = 3/608 + 4379/344736. Calculate the common denominator of r and 127/378.
1134
Suppose 8*w - 210 + 506 = 0. Let f = 8 - w. Let t = 52 - f. What is the lowest common multiple of 18 and t?
126
What is the common denominator of 51/40 and ((-18123)/(-924) - 19)/((-12)/10)?
440
What is the common denominator of -92*(-161)/(-15318) + 1 and -76/9?
333
Suppose 39 = -3*k + j - 4*j, k + 23 = j. Let a = -33/1808 + -87965/34352. What is the common denominator of k and a?
19
Let s = 25605/88 + 7222727/1144. Let i = s + -6608. Find the common denominator of 67/4 and i.
52
Calculate the common denominator of 686/(-7032)*(-276)/1932 and -4/3223.
38676
Calculate the least common multiple of (9 + (-738)/90)*5 and 3444.
3444
Let p = 79 - 87. Let a(h) = 6*h**2 + 27*h - 22. Calculate the smallest common multiple of a(p) and 4.
292
Calculate the least common multiple of 0 - (750/(-10) + -9) and 210.
420
Let w = -6074/35 + 109967/630. What is the common denominator of w and -79/28?
252
Let q(v) = -3*v + 38. Let l be q(11). Suppose -l*t = -3*b + 18, 2*t + 1 = -5*b - 0. Calculate the lowest common multiple of 15 and (t + 0 - 110/(-20))*14.
105
Suppose -5*l = -2*i + 65, 5*i + 12*l - 149 = 11*l. Find the common denominator of ((-4)/(-10))/(24/695) and (-3 - (-11)/2)*62/i.
12
Let o(q) = 788*q + 20560. Suppose 0 = -s + 25 + 20. What is the least common multiple of s and o(-26)?
360
Suppose -8814 - 7314 = -33*z - 30*z. What is the lowest common multiple of 2 and z?
256
Let w(q) = 2*q**3 - 69*q**2 - 30*q - 143. What is the least common multiple of 752 and w(35)?
1504
Let i be (-30