te the common denominator of q/60*-218 - (10 + -8) and x.
90
Suppose 0 = -11*k + 31*k + 18*k - 798. Suppose -i - 5*r - 3 + 30 = 0, 3*r + 108 = 4*i. What is the least common multiple of k and i?
189
Let n = 233625611/4072926330 + -4/1223101. Calculate the common denominator of n and -43/3330.
3330
Let z be 42 - 44 - (-4)/2*-1. Let w(x) = -9 + 0 - 2*x - 2*x. Calculate the smallest common multiple of 5 and w(z).
35
Suppose 17*s - 4500 = -13*s. Suppose -2*c + s = 2*u, -57 - 290 = -5*c + 2*u. Calculate the smallest common multiple of 11 and c.
781
Let a(n) = -13*n**3 - 3*n**2 - 6*n. Let u be a(-2). Suppose -u*q = -123*q + 1026. Calculate the lowest common multiple of q and 66.
594
Let i = 109924/3309417 + -4/13619. Calculate the common denominator of 67/972 and i.
972
Suppose 3*l + 3*f - 1536 = 0, 2*l = f + 279 + 760. Calculate the lowest common multiple of l and 11.
517
Suppose 113*u + 1834 = 111*u. Find the common denominator of 5 + 5 + u/112 and -37/9.
144
Suppose 4 = 2*p, -4*t - 2418 = p - 2*p. Let f = 632 + t. Calculate the smallest common multiple of 4 and f.
28
Let w be 1957 + (-3)/((-21)/(-49)). Suppose -18*i - 654 + w = 0. Calculate the lowest common multiple of i and 2.
72
Let t(a) = -a**3 - 17*a**2 - 26*a + 66. Let j be ((-9)/3)/(-3) + -3. Let l = j + 14. Calculate the lowest common multiple of l and t(-15).
12
What is the common denominator of -79/124 and 50/220*((-2)/(30/249) + 0)?
1364
Suppose -32*j + 90 - 26 = 0. Suppose 4*n - 53 = 3*n + 5*z, n - 41 = j*z. Calculate the smallest common multiple of n and 21.
231
What is the smallest common multiple of ((-2)/5)/((-15)/450) and 3694?
22164
Suppose h + 12 = 15. Suppose 80 = 5*s + 3*m, -64 = -h*s - 6*m + m. Suppose i + 3 = s. Calculate the lowest common multiple of 5 and i.
10
Let d = -173569/18 + 9640. What is the common denominator of d and -53/40?
360
Let r = 10186 + -10177. What is the least common multiple of r and -2 + (-5)/((-5)/54)?
468
Let f = -153/23 + -9/92. Find the common denominator of 1/(9/348) + (-5)/(-15) and f.
4
Let o(n) = 51*n + 62. Let k(z) = -48*z - 61. Let u(g) = 6*k(g) + 5*o(g). What is the least common multiple of u(-2) and 41?
410
Suppose -48*z - 725 = -73*z. Suppose -j = -7*j + 66. Calculate the least common multiple of z and j.
319
Find the common denominator of ((-1)/(-12))/((-8)/146) and 1370/9864*294/40.
48
Let y be (-1 + 1/5)*70/(-4). Let j be -2*3109/y - -1. Let i = 444 + j. What is the common denominator of -29/3 and i?
21
Suppose -15*r + 18*r = -9. Let j be 3/r - (-1 + -3 - 1). What is the common denominator of 1751/(-340)*2/(1*j) and -31/36?
360
Let g(h) = h**2 - 2*h + 10. Calculate the lowest common multiple of g(0) and (-12252)/(-112) - 12/84 - (-3)/4.
110
Let b = -112 + 110. What is the smallest common multiple of (b/(-6))/(0 + (-7)/(-336)) and 12?
48
Let f = -2587271 + 6701032027/2590. What is the common denominator of -43/1554 and f?
7770
Let m = 615 + -265. Suppose 24*n = 31*n + m. Calculate the common denominator of -139/60 and n.
60
Suppose 0 = -232*x + 248*x + 1441296. Let t = x + 10269373/114. Find the common denominator of t and 145/72.
1368
Suppose -127*h + 2095 = -147522 - 6593. Calculate the lowest common multiple of 492 and h.
2460
Let w = 368 - 322. Suppose 0 = 112*h - 101*h - 77. Calculate the lowest common multiple of h and w.
322
Let z = -158/219 - -12944/17739. Find the common denominator of z and 2/75.
6075
Suppose -4*n - 186 = -542. Let i = n + -12. Let l = i + -57. What is the smallest common multiple of l and 2?
20
Suppose 0 = 7*j + 217986 + 56477. Let w = 1176451/30 + j. Calculate the common denominator of w and -10/27.
270
Let n be 8 - (8/20)/(3/(-30)). Suppose 5*t - 6*a + 2*a - 402 = 0, 0 = 3*a + 9. What is the least common multiple of t and (-1)/((n/(-40))/((-9)/(-5)))?
78
Let f(d) = -d - 3. Let u = -341 + 200. Let x = u + 147. What is the lowest common multiple of x and f(-9)?
6
Let c = -18406 - -4399046/239. Let i be (-2)/(-9) - 1113860/(-402237). Let y = c - i. What is the common denominator of y and -7/3?
51
Let v(u) = -33*u + 459. What is the smallest common multiple of 304 and v(7)?
912
Let z be 54/9 + 33544/(-5591). Let l = -441717/78274 + z. Find the common denominator of l and -65/2.
14
Let j = -44157361/35673 - -28470/23. Find the common denominator of -133/30 and j.
15510
Let s(m) = -9*m + 108. Let y be s(-10). Suppose -3*w = 5*a - y, 16*w = -3*a + 20*w + 113. Calculate the smallest common multiple of a and 30.
390
Let f = 1881179/138 - 13632. Find the common denominator of 17/12 and f.
276
Let g = -438844/5 - -87316. Let a = 9421/20 + g. Calculate the common denominator of -81/506 and a.
1012
Let g = 7033/6 + -2546/3. Let a = -2555/8 + g. Find the common denominator of a and 7/16.
16
Suppose -17*m = -816 - 1139. What is the common denominator of m/(-28) - 15/(-5) and 101/4?
28
Let x = -4318 - -5018. What is the least common multiple of 9 and x?
6300
Let b be ((-5635)/(-938) + -6)/(48060/14006967). Let w = -1/53667 - b. Find the common denominator of w and 63/4.
40
Let m = -586459537/1176 - -498690. Calculate the common denominator of m and 31/4998.
19992
Suppose -136*q - 3280 + 74200 = 44*q. What is the smallest common multiple of q and 176?
34672
Let o be 12/((-1)/(-7) + (-39)/(-21)). Let j(p) = -5*p + o + 0*p**2 + p**2 + 1 - 4. What is the least common multiple of 10 and j(0)?
30
Let d = -433/9 - -7639/144. Suppose -5*u = -4*m + 205, 0 = -2*u - u - 3. What is the common denominator of 61*(-2)/(-12) - (-48 + m) and d?
48
Let j = 13427 + -13367. What is the least common multiple of j and 220?
660
Suppose 5*r - 200 = -0*r - 5*b, -5*r = 4*b - 205. Calculate the common denominator of (5/15)/(r/(-125)) and 37/36.
108
Let t(a) = -3*a - 7. Let d be t(-3). Suppose 5*u + 41 = 4*b, b + 0*b = d*u + 8. What is the smallest common multiple of b and 84?
84
Suppose 50*j - 37*j - 24*j = -1826. Calculate the smallest common multiple of 278 and j.
23074
Let w be (-4 - -6)*45/(-2). Let c = 69 + w. Suppose 3*r - 10 = 5, -5*z - 5*r = -55. What is the smallest common multiple of z and c?
24
What is the lowest common multiple of 528 and (128/(-40))/((-1)/110)?
1056
Let n(m) = 220*m - 31. What is the smallest common multiple of n(1) and 135?
945
Let y = 4507/2478 + 6/413. Suppose j + 4*j + 10 = 0. Calculate the common denominator of y and j/(-8) - 105/14.
12
Suppose 24*i - 3024 = -5*o, 20*o + 630 = 5*i + 17*o. What is the least common multiple of 98 and i?
882
Find the common denominator of ((-1)/(-20))/(300/28680) - (4 + 1) and 113/750.
750
Let x = 6537 + -6452. What is the smallest common multiple of x and 850?
850
Let d = 29657/4 + -14811/2. Let z = -118193/16 - -7381. Calculate the common denominator of z and d.
16
Let a = -132 + 134. What is the common denominator of 186/63 - 0 - a/(-6) and -37/2?
14
Suppose 0 = -2*u - 1 + 11. Let k(a) = a**2 + 40*a - 109. Let r be k(-32). Let t = 374 + r. Calculate the least common multiple of t and u.
45
Suppose 4*s + 41 = 5*t + 2, 3*t - 1 = s. Let n = 31 - s. Calculate the common denominator of -2 + 5/10*n and -24.
2
Let n = 20 + 25. Let s = 316 + -132. Calculate the smallest common multiple of (s/(-24) - (-8)/(-6))/(-1) and n.
45
Let a(s) = 2*s**2 + 14*s + 31. Let i be a(-4). Suppose 2*d + i = -3, 2*y - 29 = 3*d. Calculate the lowest common multiple of 31 and y.
217
Suppose 194*p - 400 = 1293 - 335. What is the smallest common multiple of p and 2027?
14189
Suppose -209*n - 3171 = -11113. What is the lowest common multiple of n and 57?
114
Let z = 45 - 37. Suppose -8 = -5*y + c, 4*c + 5 + z = y. What is the least common multiple of 14 and y?
14
Let o(k) = -6*k - 16 + 4*k + 2 + 6*k. Suppose -2*f + 11 + 1 = 0. Calculate the smallest common multiple of 28 and o(f).
140
Let a = -18538216/2215365 + 4736/565. Calculate the common denominator of -11/3 and a.
3921
Suppose 6*d - 2*d = 436. Let k be d + (-1 + 1 - -1). What is the common denominator of (-3)/12*k/18*2 and 29/6?
18
Suppose 2*a = -x - 5, 0 = -a - 5*x - 7. What is the common denominator of (a/(-36)*2)/((-15)/(-279)) and -58/115?
345
Suppose -106*g = -50721 - 75843. What is the least common multiple of 12 and g?
2388
Let v = -1286 + 1290. Calculate the smallest common multiple of v and 36.
36
Let d = -294680 + 68955227/234. Find the common