et r = 10698 + -235311/22. Let j = 583/2740 - 153601427/24660. Let u = -6222 - j. What is the common denominator of r and u?
198
Let s(x) = -7*x - 45. Let h(f) = -2*f**2 - 19*f - 24. Let g be h(-9). Let m be s(g). Calculate the smallest common multiple of 10 and 5/m*596 - (-2)/6.
50
Suppose 5069 = 3*y + 30*j - 29*j, j = 5. What is the lowest common multiple of y and 56?
11816
Find the common denominator of -81/394 and (-3 + (-61)/(-20))/(13281/(-948) + 14).
5910
Find the common denominator of -81/10 and (-392426)/(-262960) - (2 + 3/(-6)).
6920
Let y = -211 + 271. What is the lowest common multiple of y and (89 - (9 - -1)) + 1?
240
Let b = 8/451 - 16823/7667. What is the common denominator of -14/527 and b?
527
Let s(j) = j + 11. What is the lowest common multiple of s(13) and (0 - 240)*(3 + -26 - -22)?
240
Let d = 41910/7 - 1760141/294. Find the common denominator of d and -139/108.
5292
Let i(t) = -38996*t**2 - 4*t. Let v be i(-1). Let n = -2885309/74 - v. Find the common denominator of n and 103/6.
222
Let q be ((14/(-4))/7)/((-2)/20). Suppose -v - q = 3*t, -2 = t + 2. Suppose x - v = -z, 12 = -4*z - 5*x + 9*x. What is the smallest common multiple of z and 14?
14
Let l = -45190667/15960 - -14433/665. Let a = -2805 - l. Calculate the common denominator of a and 71/36.
72
Let u(c) = 4*c**2 + 27*c + 12. Let m be u(-6). Let i(g) = -2*g**2 - 12*g + 5. What is the smallest common multiple of (12/6)/(4/66) and i(m)?
165
Suppose -5*s = -2*o + 17, o + 3*s + 8 = -0*s. Find the common denominator of 95/12 and 131/(-65) + o/((-14)/(-21)).
780
Let r be 4/(-18) + (-2)/(-9). Suppose 30*w = 31*w - 2, k = -3*w + 6. Calculate the common denominator of k and r + 2 - 121/6.
6
Suppose 991*v = 1020*v - 50199. Let g be (2/3)/(8/20914). Let d = v - g. Calculate the common denominator of d and -59/8.
24
Suppose -29*x + 87 = -29. What is the common denominator of -55/81 and (34/x)/(5/((-20)/(-54)))?
81
Suppose 2*i + 18 = 4*i - 4*a, -4*i = 2*a - 16. Suppose -5*u - 2*n = 3*n + i, 9 = -u - 5*n. Calculate the lowest common multiple of (u - 3) + 1 - -3 and 18.
18
Let t = 322 - 288. Suppose 2*m = -4, 36 + t = 4*o - 5*m. Let n(s) = 3*s**2 + 4*s - 2. Calculate the least common multiple of n(-4) and o.
30
Suppose -816 = 89*q - 81*q. Let x(p) = -36*p. Let r be x(-3). Let y = r + q. What is the lowest common multiple of 27 and y?
54
Calculate the least common multiple of 887170/316*36/15 and 5.
33690
Calculate the common denominator of (-3090)/24*4/60 and (-129)/8 + (35 + 0)/7.
24
Let h be 12*((-4)/(-14) + (-120)/(-315)). Let f(s) be the second derivative of 2*s**3/3 - 11*s**2 + s. What is the least common multiple of 50 and f(h)?
50
Let w = -2270 + 2358. What is the lowest common multiple of 336 and w?
3696
Calculate the common denominator of -89/92 and (22/(-396))/((2/121)/2).
828
Let b be 3/((-2820)/(-1603045)) - 3. Let c = b - -29628/47. Let g = c - 2308. Find the common denominator of g and 13/10.
20
Let y = 1253/4 + -961/3. Calculate the common denominator of y and (((-36)/(-54))/(-1 - 33))/(8/148).
204
Let z = 312 + -295. Let v = 24 - z. Calculate the lowest common multiple of 11 and v.
77
Suppose -3*c + 11 = -64. Suppose -208*d = -200*d - 120. What is the least common multiple of d and c?
75
Let h = -2834 + 22707/8. Let g = 11 + -10. Find the common denominator of g/6*1168/80 and h.
120
Let w(r) = 26*r**2 + 241*r - 10. Calculate the lowest common multiple of 54 and w(-10).
540
Let r = -121 + 76. What is the lowest common multiple of 42 and r/((-3 - -2)/1)?
630
Let o = -14882/3 - -4940. Find the common denominator of 87/52 and o.
156
Let f = -546 + 545. Calculate the common denominator of 115/24 and f/2*(7 + (-114)/36).
24
Let w = 4081126/13 - 314476. Let z = 69021/130 + w. Calculate the common denominator of 147/396 - (-3)/9 and z.
220
Let o(i) = -3*i - 79. Let b be o(5). Suppose 7*f = 2*f + 550. Let w = b + f. What is the smallest common multiple of w and 24?
48
Let l be (4/(-8))/((10/(-4))/5). Find the common denominator of l/(-5)*8455/190 and 41/130.
130
Suppose -20*w + 375 = 18*w - 13*w. What is the lowest common multiple of w and 290?
870
Let g = 416/7 - 4027/70. Let m = -219775/268182 - -1/2853. Calculate the common denominator of g and m.
470
Suppose -3*l + 2*t = 80, 3*l = 3*t - 25 - 50. Suppose -3 = 2*z + 4*d - 31, 0 = -2*z + 3*d. What is the least common multiple of z and (144/l)/((-8)/60)?
36
Suppose 3*n = 3, -n - 215 = 5*a - 6*n. What is the common denominator of 41/(-6) + 1 + -1 and 0 - -4 - (-248)/a?
42
Suppose 1456*n - 5683 + 193703 = 1490*n. What is the smallest common multiple of n and 56?
22120
Suppose -2*v + 4 = 3*s, -4*v - s + 8 = -2*s. Let n = 308 - 301. What is the least common multiple of v and (-21)/n - (1 + 1) - -17?
12
Let j(s) = -5*s - 39. Let m(k) = 6*k + 38. Let l be (((-84)/7)/6)/((-1)/(-2)). Let z(g) = l*j(g) - 5*m(g). What is the least common multiple of 114 and z(-5)?
912
Suppose -d + 3718 = -1939. Let h = d - 67951/12. What is the common denominator of h and 37/54?
108
Let d = 4513 + 5690. Let r be 2 + 6 + 734228/72. Let t = r - d. Calculate the common denominator of -9/8 and t.
72
Calculate the common denominator of -59/228 and (74/(-8))/(-14*(-20)/(-140)).
456
Calculate the common denominator of 47/3084 and (-44)/55 + 1 - 3709/15420.
3084
Let n be 7951505/(-464478) + 6/21. Let v = -2/11059 - n. Calculate the common denominator of (-4)/18 + 1093/180 and v.
60
Suppose y - 2156*c + 2160*c - 1099 = 0, 0 = -5*y - 3*c + 5529. What is the lowest common multiple of 135 and y?
5535
Suppose z + 2 = -3*d - 12, -3*d = 3*z + 18. Let t be 2/(d/(-2))*(3 + -11). Calculate the least common multiple of 12 and (-106)/(-8) + (-6)/t.
84
Let f = 131 - 83. Let j(z) = -61*z + 7261. Let p be j(119). Suppose f = -0*m + p*m. What is the lowest common multiple of m and 3?
24
Suppose 0 = 2*l - 5*j - 1006, 2*j - 2036 = 2*l - 6*l. Let t = l + -460. Calculate the smallest common multiple of 6 and t.
48
Let p(c) = -17*c**3 + 3*c**2 - 6*c + 13. Let h be p(6). Let z = -129191/36 - h. Calculate the common denominator of -109/18 and z.
36
Let r be (3 + -2)*(0 - 5). Calculate the least common multiple of 42 and (25/(-15))/r - (-16)/6.
42
Let v = 183 - 179. Suppose 2*u = 3*n - 42, 0*n - v*n = u - 45. What is the least common multiple of n and 24?
24
Let i = -569407/51 - -11165. Let o = -1842 - -44225/24. Find the common denominator of i and o.
408
Suppose -4*l = 4*a - 24 + 4, -3*l = -15. Suppose -u + 20 = 2*w - 0, -5*w - 3*u + 48 = a. What is the least common multiple of w and 48?
48
Suppose 3*k = -v - 50, 5*v + 150 = 2*k + 3*k. Find the common denominator of -79/2 and 951/(-210) + 14/v.
14
Let m = 123/4 + -31. Let r be 2/634*(-18)/(-81). Let t = 173993/57060 + r. What is the common denominator of t and m?
20
Let i = 4106 + -2699. Calculate the lowest common multiple of 7 and i.
1407
Let h = 2133 - -13653. Let t be (123/h)/((-4)/10398). Let z = 4/877 + t. What is the common denominator of -101/8 and z?
8
Let g = -45530 - -13021529/286. What is the common denominator of 45/14 and g?
2002
Suppose m = -5*l - 18, -2*m + 7*m + l = -42. Calculate the least common multiple of (m/(-2))/((-16)/(-40)) and 52/6 - 4/6.
40
Suppose -93*v + 1188 = -672. What is the least common multiple of v and 3238?
32380
Let v = -3 + -8. Let g(i) = -i**2 - 16*i - 7. Calculate the least common multiple of 12 and g(v).
48
Let z be (1962/47472)/((-78)/1762). Let f = 12/12857 + z. What is the common denominator of f and -47/10?
520
Calculate the least common multiple of 1116 and (-1 - 4)/(15 - (-3 + 19)).
5580
Suppose -514673 = 31*k - 32251. Let b = 1338307/86 + k. What is the common denominator of 73/20 and b?
860
Let v(u) = 5*u**2 + 18*u + 13. Calculate the least common multiple of 48 and v(-7).
528
Let h be (-239)/(-9) - (-1)/((-7)/(-28)). Let z = -116/9 + h. Calculate the common denominator of z and 31/11.
33
Let a(m) = -m**3 + 10*m**2 + 14*m + 14. Let d be a(12). Let j = 205 + d. Let i = -50 + j. What is the lowest common multiple of i and 8?
392
Let a = 30 + 6. Let q(y) = y**2 + y - 26. Let x be q(-6). Let n(c) = -4*c + 23. Calculate the common denominator of a and n(x).
1
Suppose -231*b + 437 = 5*z - 232*b, -4*z = 3*b - 361. What is the smallest common multiple of z and 6?
264
Let b = -59/327 -