 - (-1966)/(-420)).
1995
Suppose 121*f - 161250 = 774806. What is the lowest common multiple of f and 18?
69624
Suppose 2*o - 5*i = -171104, 98402 = -3*o + 3*i - 158254. Let c = -5646317/66 - o. Find the common denominator of -71/48 and c.
528
What is the common denominator of -63/136 and (-991)/2448 + (-550)/(-2475)?
816
Suppose 3*k + 18 = 54. Suppose k - 18 = -2*b. Suppose 4*x - 19 = b*x + 4*n, 2*n = -3*x + 29. Calculate the smallest common multiple of x and 7.
77
Let s(i) = -i**3 - 5*i**2 + 2*i + 6. Let m be s(-5). Calculate the common denominator of -37/90 and -2*(-166)/560*m/(-2).
630
Let c be ((-3)/(-6))/(6/12). Find the common denominator of (-70)/10*c/(-9) and (-10)/105*222/12.
63
Let x = -2468707/66 - -37407. Let j(r) = 2*r**3 - 4*r**2 - r - 3. Let z be j(4). Calculate the common denominator of x and 127/66 + (-19)/z.
66
Find the common denominator of 604*(-2)/(-12)*(-4 + (-395)/(-100)) and 67/132.
660
Suppose 17 = -5*g + 7. Let n be (36/15)/(-6*g/40). Suppose 4*y + 56 = n*y. Calculate the least common multiple of y and 12.
84
Let u = 5979 - 71821/12. Calculate the common denominator of 355/(-320) - (-78)/(-208) and u.
192
Let h be (-4)/(-12) - 4688/6. Let d = -423 - h. What is the lowest common multiple of d and 9?
3222
Let k(o) = 6*o**2 + 12. Let r be k(-3). Suppose 3*m + 42 = 4*s, 2*s - 3*m = 7*s - r. Calculate the smallest common multiple of s and 4/(-5)*(-15 - 0).
12
Let u = 195148 - 385222129/1974. Calculate the common denominator of 71/6 and u.
1974
Let f(l) = 44*l - 18. Let o be f(2). Calculate the common denominator of -1*(-2)/o - (-27)/135 and -82/15.
105
Let b = -26 + 26. Suppose b*q + 74 = 2*q. Suppose -2*s - q = -63. What is the smallest common multiple of s and 3?
39
Suppose -4*r + 26 + 6 = 0. Let z be ((-12)/r)/(6/184). Calculate the lowest common multiple of (-1 - z)*18/27 and 16.
240
Find the common denominator of (20/6)/(2/(-4)) and (5522/(-180))/(-11) - ((-48)/27)/(-8).
30
Let p = -29/5 - -228/35. Let x be (0 - 2) + (-800)/1225. Let z = x - -6109/1176. What is the common denominator of p and z?
168
Let i(b) be the second derivative of b**3/6 + 107*b**2/2 + 2*b - 3. What is the lowest common multiple of i(-15) and 22?
1012
Suppose 113 = 199*s + 51 - 1132. Calculate the lowest common multiple of 224 and s.
672
Let n be (2898/35)/(0 - (-6)/40). What is the common denominator of 6 - n/32 - (-2)/(-3) and 41/15?
60
Let q(m) = 235042*m**2 + 12*m - m - 235043*m**2 - 19. Let o(r) = r**3 - 7*r**2 + 6*r + 6. Let t be o(6). Calculate the smallest common multiple of 34 and q(t).
374
Let z(r) = -16*r + 272. Calculate the smallest common multiple of 96 and z(-13).
480
Let o = -317579/30 + 10585. Find the common denominator of -37/729 and o.
7290
Suppose 188*y + 199*y - 257631 + 53682 = 0. Calculate the smallest common multiple of 2511 and y.
42687
Let b be (67*(-4)/8)/((-8)/16). What is the smallest common multiple of 8 and -8 + (b - 6/2)?
56
Suppose 4*n = -736 - 500. Let a = n + 315. Calculate the smallest common multiple of 60 and a.
60
Suppose -r + 50 = 5*l + 15, -r - l + 23 = 0. Calculate the least common multiple of 804/20 - (0 + 4/r) and 44.
440
Let s = 209940 - 55843961/266. What is the common denominator of -87/4 and s?
532
Let p = -132 - -142. Let j(g) = 3 + 9*g - 27 - p*g + 23*g. Calculate the least common multiple of 12 and j(3).
84
Let p = -45023/23484 + 1/1957. Let q = 5593/3260 + -27/163. Find the common denominator of q and p.
60
Suppose 0 = 4*y - 311*j + 315*j - 108, y + 2*j = 29. What is the smallest common multiple of y and 49?
1225
Suppose -4*u + 2*b = -252, b - 70 = -u + 5*b. Suppose 11*n - 81 = 2*n. Suppose 0 = -n*j - u + 260. What is the lowest common multiple of j and 4?
44
Let y be 1/(-2) + 7/(-2). Let v = -3865 + 42553/11. Calculate the common denominator of y/55*1*20/6 and v.
33
Suppose 0*j + 4 = 4*j. What is the common denominator of -71/132 and 595/42*j - -4?
132
Let z(k) be the second derivative of -16*k**3/3 - 10*k**2 + 9*k. Let x be z(4). Find the common denominator of (x/(-12))/(20/15) and -39/7.
28
What is the least common multiple of 1972 + (-10 - (-6 + 8)) and 2450?
9800
Let o be (-1)/(-2) + 1/((-2)/107). Let l = 52 + o. What is the smallest common multiple of 4*498/96 + l/(-4) and 24?
168
Let o be (-2)/8 + 27/12. Suppose -3*t = -4*j - 68, o*j - 4*j - 10 = 0. What is the lowest common multiple of t and ((-9)/2)/((-215)/20 - -10)?
48
Let s = -1645 + 1825. What is the least common multiple of s and 70?
1260
Let h = -511 + 523. Calculate the common denominator of -67/32 and (243/h)/(11/(66/36)).
32
Let r = -99 + 97. Calculate the smallest common multiple of 12 and 132/(2/1)*(-1)/r.
132
Suppose -48*q - 504 = -69*q. Let h = 53 + -23. Calculate the smallest common multiple of q and h.
120
Calculate the common denominator of (-186)/(-496) - (-2)/((-6)/(-3 + 2)) and -73/1977.
15816
Let l = 90 + -62. Suppose -p + 81 = -10*q + 77, 3*p = 4*q + 116. Calculate the smallest common multiple of l and p.
308
Let v(j) = -2*j + 60. Let t be v(28). Find the common denominator of 395/(-55) + (t - -1) and -77/8.
88
Suppose 21*v = -6*v - 6 + 330. Let o = 38 + -26. What is the smallest common multiple of o and v?
12
Let m = 2 + -74. Let u = -48 + 1177/24. Calculate the common denominator of u and 2 + 15/m + -2.
24
Suppose 0 = b + 3*b + 2*m - 138, 4 = 4*m. Let s = -26 + 29. Suppose j - 8 = -3, -s*f - 13 = -5*j. What is the smallest common multiple of b and f?
68
Let m = -397 + 477. Let b(z) = -z**3 + 7*z**2 + 13*z + 16. What is the least common multiple of b(8) and m?
560
Let y(j) = j**2 + 8*j + 12. Let l be y(-5). Let p(u) = -3*u - 9. Let o be p(l). Suppose o = 6*g - 7*g + 14. Calculate the smallest common multiple of g and 2.
14
Calculate the least common multiple of 22 and 6/(-123) + (-4338880)/(-5330).
814
Calculate the common denominator of ((-4)/6)/((-53)/(-83))*(-3)/120 and -3/40.
6360
Suppose 12*k - 17*k + 5*y + 15 = 0, 0 = -2*y + 10. Suppose -k*i + 89 + 103 = 0. What is the lowest common multiple of i and 48?
48
Suppose 16*d - 18*d + 6 = 0. Suppose -k - 5*w + 5 + d = 0, -2*k + 16 = 2*w. What is the smallest common multiple of k and 28?
56
Let r = 705 + -4943/7. Let y = 58/63 + r. Find the common denominator of ((-94)/186)/((8/6)/4) and y.
279
Let r = -1112567/8568 + 2335/18. What is the common denominator of 19/1190 and r?
4760
Let w = -149839379/760 - -197157. Find the common denominator of 9/560 and w.
10640
Let i be 2/5 - (-47406)/(-118490). Let j = i - 1623295/213282. Calculate the common denominator of j and (4/48)/(((-3536)/(-8268))/(-17)).
144
Let l(d) = -2*d - 4. What is the smallest common multiple of (1 + (-112)/10)/(185/(-6475)) and l(-6)?
2856
Let n = -31/70864 - 3245128207/212592. Let g = n + 15253. What is the common denominator of -24 and g?
12
Suppose -5*h - 2*y = -5046, -17*h + 15*h = 6*y - 2034. What is the least common multiple of 360 and h?
5040
Calculate the least common multiple of 49*(4/(40/102) + (-18)/90) and 588.
2940
Suppose v - 4*v = 0. Suppose v = -0*b + 3*b - 15. Let d(i) = i**3 - 4*i**2 - 2*i - 11. Calculate the smallest common multiple of 10 and d(b).
20
Suppose 48*j + 635621 - 121445 = 0. Let v = j + 1842471/172. Calculate the common denominator of -19/28 and v.
1204
Let v = -16553/120 + 702/5. Find the common denominator of (-666)/81*((-1512)/(-1440) - 8/10) and v.
72
Let w(v) = v**2 - 11*v + 26. Let s be w(7). Suppose 0 = -3*j + 3*m + 114, -2*m = m + 15. What is the lowest common multiple of (3 + s)*(29 + 1) and j?
330
Let o(p) = 11*p**3 - 2*p**2 - 105*p. What is the lowest common multiple of o(4) and 420?
1260
Let x = 497/90 - 7453/1260. Find the common denominator of -5/284 and x.
1988
Let o = -9045 + 9063. Calculate the smallest common multiple of 22 and o.
198
Suppose -676 = 2*s + w, -s - 2*s = 5*w + 1000. Let j = 348 + s. What is the smallest common multiple of 120 and j?
120
Let v(i) = -i**2 + 6*i. Let k be v(5). Suppose k*w + 3*w - 432 = 0. Calculate the lowest common multiple of w and (0 + 2)*-1 + 12.
270
Let n = -110265 - -110267. Suppose -d + 1352 = 3*g, -g - d = d - 454. Suppose 3*s = -0*s + g. Calculate the lowest common multiple of s and n.
150
Let d = 24 - 15. Let k(s) = -4*s + 5*s**2 + 5*s**2 + 4 - s**3 - 3*s. Calculate the smallest common multiple of 4 and 