nominator of m and -5/44.
44
Let y be 15/10*(-1 - 15857978/3). Let w = y - -87301843/11. Let a = -7538 + w. Find the common denominator of 179/30 and a.
330
Suppose 68*u + 338485 + 1053227 = 286*u. Calculate the least common multiple of u and 570.
31920
Suppose 104 = k - n - n, -4*k - 5*n + 442 = 0. Suppose -66*o + 9611 = 4067. What is the lowest common multiple of k and o?
756
Suppose -150*w + 152*w = 4. Suppose 3*x = -w*n - n + 300, 4*n - 4*x = 368. Calculate the smallest common multiple of n and 10.
480
Calculate the common denominator of 10/120*54/(-8280) and 113/40.
1840
Let s(d) = 8*d - 16. Let b be s(-7). Find the common denominator of ((-9)/30)/((-8)/(-35)) and (-60)/b*(-107)/(-5).
48
Let t be 196/2646 + (-1658)/513. Let d = t + -355/38. Calculate the common denominator of -73/6 and d.
6
Let d = 23 - 38. Let f be ((-78)/260)/(d/(-63068)). Let j = f + 1260. Find the common denominator of -149/6 and j.
150
Let y = -108/319 - -16495/2552. Calculate the common denominator of y and -13/228.
456
Let g(m) = -m**2 + 9*m + 9. Let y be g(8). Suppose y*x + 60 = 12*x. What is the common denominator of -155/66 and 194/x - (2 + 0 + -5)?
66
Let w be (9/(-6))/(27/(-72)). Suppose 144 = p + 4*d, w*d - 597 - 43 = -5*p. Suppose r = -r + p. What is the smallest common multiple of r and 8?
248
Let a = 30908/43095 - -7/845. What is the common denominator of 26/357 and a?
357
Suppose -2*o + 40 = -2*c, -4*o + 9*c + 80 = 4*c. What is the lowest common multiple of o and (4 + 77/(-22))*(0 + 2)?
20
Let f = -117399/14 + 8378. What is the common denominator of f and 17/42?
42
Let g be (45/30)/((-9)/(-12)). Suppose 290 = g*o + 2*l, -2*o - l = -0*l - 294. What is the smallest common multiple of o and 3?
447
Let k = -914566503 - -13711638931/15. Let g = 457495 + k. Let i = 1597/6 - g. Calculate the common denominator of -13/102 and i.
510
Let g = 6461003/156 - 41417. What is the common denominator of g and 119/572?
1716
Suppose -81 = -4*k - y + 108, -3*k - 17*y + 28 = 0. Let q = 26 + -21. What is the least common multiple of k and q?
245
Let b be (-138)/92*16052/(-6). Let j = -276823/69 + b. Calculate the common denominator of -68/3 and j.
69
Let d be 30/((-12)/(-4))*(-2)/(-5). Suppose i = -16*w + 17*w + 37, -5*i - d*w + 149 = 0. What is the lowest common multiple of i and 15?
165
Let x(n) = 3*n**2 + 23*n - 62. Let w(i) = -7*i**2 - 47*i + 123. Let f(o) = -2*w(o) - 5*x(o). Calculate the smallest common multiple of f(-23) and 258.
774
Let h(k) = 81*k - 138. What is the smallest common multiple of 2 and h(2)?
24
Let l be (-2687)/60 - (8 - 5). Let s = l - -286/5. Find the common denominator of 79/10 and s.
60
Let j = -221 - -427. Find the common denominator of -41/8 and (-6)/(-24)*j/(-5).
40
Suppose -773 - 223 = -6*r. Suppose 4*z + 344 = 4*l, l - 6*l + r = -2*z. Let h = z - -112. Calculate the least common multiple of h and 16.
48
Suppose -o = -5*u + u + 243, 3*o - 51 = -u. Suppose -30*a = -27*a - u. What is the least common multiple of 198 and a?
1980
Let d = -1810 - -2414. What is the lowest common multiple of 8 and d?
1208
Let w(d) = 30*d - 1437. What is the least common multiple of w(49) and 924?
924
Suppose 0 = 3*j + 4*u - 497, 3*u - 498 - 3 = -3*j. Let p = 186 - j. Calculate the least common multiple of p and 50.
150
Let l be 1 + 540 + (-105 - -111). Let y = 755 - l. What is the least common multiple of y and 160?
2080
Let y be (-3 - -2)*(0 + 8). Let p = 9 + y. Suppose 17 = -18*c + 35. Calculate the lowest common multiple of p and c.
1
Calculate the common denominator of -5 + 1*909/90 and -49/566.
2830
Suppose 2*q + 4*q = 180. Suppose 105*d = 110*d - q. Suppose 0 = b - 3*m - 10, -m - 12 = -4*b + d. What is the smallest common multiple of b and 103?
412
Let a be 218/7 + (72/56)/(-9). What is the smallest common multiple of 28 and 21/2*62/a?
84
Let x(k) = 61*k - 4. Suppose 25448*f = 25523*f - 1125. What is the smallest common multiple of f and x(4)?
240
Let l be 48 + (1 - (-1 + 6)). Suppose -2*v - v - l = -4*g, -g = 4. Let w = v + 36. Calculate the least common multiple of 36 and w.
144
Let n = 10483602286568/4485 - 2337480987. Let o = 912/65 - n. Find the common denominator of o and -137/6.
138
Calculate the common denominator of 83/180 and (1/(-5))/(1134/(-3339)).
180
Suppose 2314 = 3*l + 2*i, -5*l + 8*i = -4687 + 853. Calculate the smallest common multiple of 14 and l.
770
Calculate the common denominator of (-8)/(-44) + (-381)/(-264) and (3 - 3) + -8 + (-4428)/(-672).
56
Let h(r) = 185*r - 430. Calculate the lowest common multiple of 225 and h(3).
1125
Suppose 31 = r - 1. Let n = -1033483/54 - -19139. Find the common denominator of 34/r*4/6 and n.
216
Let b = -207/17 + -8/51. Suppose 2*x = -0*x + 36. Find the common denominator of 3/(-9) + 129/x and b.
6
Let f(s) = -s**2 - 3*s + 6. Let h be f(5). Let a = 58 + h. What is the least common multiple of -9 + 20 - (-19)/4 - (-3)/(-4) and a?
120
Let t = -1/12929 + -112661/77574. What is the common denominator of (1 + (-22)/((-1056)/(-972)))/((-6)/3) and t?
168
Let j be (1/10)/(74/10524761). Let z = j + -14218. Find the common denominator of 2 + 3/(-42)*117 and z.
140
What is the common denominator of (-103)/(-40) + (27 - 27)/28 and 19/2350?
9400
Suppose -92*h - 316 + 1236 = 0. What is the smallest common multiple of h and 4392?
21960
Suppose 0 = c - 56*n + 51*n + 37, -2*c - 10 = -2*n. Calculate the least common multiple of c and 1678.
5034
Suppose 0 = 5*w + d - 3245, -33*d + 31*d - 2610 = -4*w. Calculate the least common multiple of 585 and w.
5850
Suppose -1184 = -14*l + 18*l. What is the smallest common multiple of ((-54)/(-10))/(4 - l/(-80)) and 5?
90
Suppose 2*j + 3009 = -10*g + 11*g, -5*g + 15097 = 3*j. Let p = -30097/10 + g. What is the common denominator of -83/4 and p?
20
Let q(a) = 33*a**3 - 8*a**2 + 20*a - 2. What is the lowest common multiple of 72 and q(2)?
1080
Let b(f) = -f**3 - 15*f**2 + 15*f - 16. Let p be b(-16). Suppose p = -2*u + 19 - 5. What is the least common multiple of (-4)/(-2) + 0 + 8 and u?
70
Suppose -68*n - 26*n = -15*n - 26070. Calculate the smallest common multiple of 270 and n.
2970
Let y be 34/51 - 22390/6. Let d = -139739/46 - -3039. Calculate the common denominator of y/328 - 2/4*2 and d.
184
Let p = -398033/537950 - 1/10759. What is the common denominator of p and (51/(-357))/(55/(-44))?
350
Let b = 127 + -27. Suppose 0 = -6*w + w + b. Suppose -3*i = 0, -2*q + 2*i + 25 - 9 = 0. What is the lowest common multiple of q and w?
40
Let y = -933098 + 1909118425/2046. Calculate the common denominator of 48/3751 and y.
22506
Suppose 0 = 5*r + 2*o - 1433, 3*o + 241 + 602 = 3*r. Calculate the lowest common multiple of r and 171.
855
Suppose 3*r - 15 = -2*r. Let f(y) = y**3 - 13*y**2 - 67*y + 5. What is the lowest common multiple of f(-4) and r?
3
Let v(s) = 52*s - 3. Let j be v(4). Suppose j + 65 = 9*d. Calculate the lowest common multiple of 42 and d.
210
Let q(w) = 2*w**3 - 14*w**2 + 122*w - 30. What is the lowest common multiple of 570 and q(11)?
2280
Suppose 64 = 2*x - 56. Suppose -186 + x = -9*k. Suppose k = 3*c + 11. Calculate the smallest common multiple of c and 20.
20
Let v(j) be the first derivative of j**4/4 + 4*j**3/3 + j**2 + 3*j - 29. What is the lowest common multiple of v(-3) and 2/8 - (23/(-4) + 5)?
6
Let l(w) = 253*w**2 + 61*w + 60. Calculate the lowest common multiple of l(-1) and 16.
1008
Let n be (-4)/(-20) - 9712/(-40). Suppose n = q + 219. Let f(x) = 17*x - 1. What is the lowest common multiple of q and f(2)?
264
Suppose 103*y - 25*y - 1560 = 0. What is the lowest common multiple of y and 144?
720
Let f be (6/15)/((-2)/(-5))*8. Suppose f*a = -16*a + 672. Let h = 10 - 8. What is the smallest common multiple of h and a?
28
Let s = 32935/8 + -4122. What is the common denominator of -95/746 and s?
2984
Suppose -4*l = w + 6, -4*l + 7 = 5*w + 5. Calculate the common denominator of (0 - 2) + (-109)/(-8) and 0 + 3 + 105*l/16.
8
Let d = 38901 - 9025021/232. Let r = -289241/36 + 8031. Calculate the common denominator of d and r.
2088
Suppose -305 - 1135 = -120*v. What is the least common multiple of 6/27 - (-194)/18 and v?
132
Let a be (-3*84/45)/((-16)/1240). Suppose a = 23*u + 20. What is the least common multiple of 36 and u?
36
Let s = 188909 - 36838157/195. Let l = s + 32/6