
12
Suppose 12 = 4*k, 6*s - 5*k - 145 = s. Calculate the least common multiple of s and 30.
480
Let d = 15057 + -14133. What is the smallest common multiple of d and 18?
2772
Let c(q) = 7*q**2 + 87*q + 72. What is the least common multiple of c(-12) and 8?
72
Let o = -8036 - -8426. What is the lowest common multiple of o and 260?
780
Calculate the common denominator of -8 - (635/2130 - 8) and -4.
426
Suppose h - 5*b = -192, -5*b - 54 = 3*h + 442. What is the smallest common multiple of (1935/h)/(6/(-32)) and 6?
60
Suppose -5*a + 0*a = -3*k + 4, 4*k = 4*a + 8. Suppose -2*x - 3*x + 70 = 0. Let l(d) = -2*d + 36. What is the smallest common multiple of k and l(x)?
24
Let n be (24/(-3))/2 - (-6290)/28. Let r = n - 221. Calculate the common denominator of -111/28 and r.
28
Suppose -13 = -5*f + 2*o + 7, -2*o = f - 16. Let w be (-584)/(-48) - (19/6 - 3). Suppose w*k + 0*k = 108. What is the lowest common multiple of k and f?
18
Let n(b) = 19*b - 738. What is the smallest common multiple of n(42) and 42?
420
Let f(y) = y**3 + 11*y**2 + 11. Let h = -265 + 268. What is the smallest common multiple of f(-11) and h?
33
Let i = 638267/72 - 8865. Find the common denominator of i and -49/15.
360
Let a be (-12)/132 - 673/(-16599). Let h = -63391/449682 - a. Calculate the common denominator of -101/12 and h.
1788
Suppose -79 = -3*g + 5*f, g + 29 = 4*g + 5*f. Find the common denominator of 379/198 + g/81 and ((-4)/(-4)*-33)/20.
220
Let d = -948/41 + 20713/738. Let w be ((-180)/75)/(16/(-60)). Find the common denominator of (-12 - -5) + w - (-158)/(-56) and d.
252
Find the common denominator of (3/(-18))/(1720/852 - 2) and 1739/(-185) + (-6)/(-10) + 0.
40
What is the common denominator of 113/1008 and 2851/(-1680) + (0 - -1) - 96/(-128)?
5040
Find the common denominator of 35/832 and -9 - ((-2037)/70 + 16).
4160
Suppose -18*w - 11087 = 8551. Let i = -63281/58 - w. Calculate the common denominator of -47/4 and i.
116
Let g = 287992/7 - 41149. Calculate the common denominator of -93/182 and g.
182
Let w be (-35)/(-6) - 0 - (-4)/24. Suppose -w - 5 = x. Calculate the smallest common multiple of (4/(-6))/(x/198) and 20.
60
Let c be 4 - (3 + 4) - 787802/323405. Let o = c - 3/4555. Let m = o + 12193/1420. What is the common denominator of -11/14 and m?
140
Suppose -v = -3*v + 28. Calculate the least common multiple of (10 - (752/235)/(2/5)) + 54 and v.
56
Let q = 6 + -3. Suppose -v + 1 = d, 28*d + 17 = 30*d - v. What is the common denominator of (-192)/20 - q/d and -13/9?
90
Let x = -406 - -571. Let c = -2095 + 21053/10. Find the common denominator of (-2)/(-10) - (4302/x)/(-6) and c.
110
Suppose 2*l + 5*l - 161 = 0. Suppose 0 = o + 3*k + l, -5*o - 4*k - 32 = 28. Calculate the common denominator of 6/(-28)*66*14/o and -1/10.
20
Suppose 33*w + 82 = 34*w. Let f be w/360 - (-2 - (-27)/12). Let b = -221/45 - f. Calculate the common denominator of 57/4 and b.
36
Let o(n) = -406*n - 1206. Suppose -3*x - 2*x + 70 = -5*y, 54 = 4*x - 5*y. Calculate the smallest common multiple of x and o(-3).
48
Let c be ((-2824)/48)/((-20)/(-1902)*-2). Let q = 2798 - c. Find the common denominator of -97/50 and q.
200
Let b be -3 + 12/5 + (-3)/(-5). Suppose -2*f + 0*n + 5*n + 395 = b, 5*f - n - 1022 = 0. What is the least common multiple of 10 and ((-6)/7)/(f/210 + -1)?
180
Let a = 2996 - 2980. Calculate the smallest common multiple of 720 and a.
720
Suppose -4*z + 13 = 5*q - 2*z, -2*q = -z + 2. Suppose 0 = -2*s - 8, -3*g + 26 = -3*s - 13. What is the smallest common multiple of q and g?
9
Let f = -683/222 - 28/37. Let j = 384361 - 6918509/18. Calculate the common denominator of f and j.
18
What is the common denominator of -37/133 and ((-692 + -22)/(-21))/(28/(-5))?
266
Let f = 76 + -134. Calculate the common denominator of ((-6)/(-54))/((-4)/f) and 1/8 + (-10360)/(-4928).
198
Let a(y) = 5*y - 1. Let w(z) = 5 - 10*z**2 - 3*z - 1 + 8*z**2 + 3*z**3. Calculate the lowest common multiple of w(2) and a(2).
126
Let n be 1 + (-2731)/370 + -1. Let t = n - -40/37. What is the common denominator of 94/22 + (-90)/((-300)/(-10)) and t?
110
Let w = -3 - -1. Calculate the lowest common multiple of (-801)/(-8811) - ((-1314)/66 - 0) and 97/3 - w/(-6).
160
Suppose -40*t = -47*t + 7. What is the lowest common multiple of 15 + 27 + (0 + -1 - t) and 20?
40
Let n be (((-24)/(-10))/2)/(22/(-3850)). Find the common denominator of -16/9 and (-851)/n + -4*(-5)/(-70).
90
Let m be (2/(-6))/((-212)/(-672)). Let v = m - -3669/212. Calculate the common denominator of 707/(-336)*72/54 and v.
36
Let h = 339980387/9944 + -68379/2. Let t = 149782098566 - 10426032317285427/69608. Let f = h - t. What is the common denominator of f and 9/10?
70
Let d = -25002/2023 + -285456247/20230. Let o = d - -14134. Let c = 37141/22 - 1687. Calculate the common denominator of o and c.
110
Calculate the common denominator of 119/48 and (-3443)/(-1872) - 2 - (-76)/494.
144
Suppose 2*c + 24 = 34. Suppose -i + 4*i = c*y - 66, -44 = -3*y + 4*i. Calculate the smallest common multiple of y and 90.
180
Let z = 92 + -73. Find the common denominator of -119/12 and (-4)/10 + ((-24985)/5400)/z.
216
Find the common denominator of 67/260 and 67/((540/(-900))/((-3)/375 + 0)).
3900
Let o(c) = 5*c**2 - 1 - 1 - 6*c**2 + 4*c**3 - 2*c**3. Suppose -256*h = -250*h - 12. What is the least common multiple of o(h) and 11?
110
Let a = 13550 - 13022. Calculate the lowest common multiple of 78 and a.
6864
Suppose -3*i + 25 = 1. Suppose 0 = -l + 9 - i. Let w(x) = -3*x + 2. Calculate the lowest common multiple of l and w(-2).
8
Let h = 4672/71 + -787779/12070. Find the common denominator of h and 89/204.
1020
Let y = -190548748/45 - -4234654. Let m = y - 2291/10. Calculate the common denominator of (0 - -1) + 1494/288 and m.
144
Suppose 0 = z - 5, 0*j - 2*z - 131 = j. Calculate the least common multiple of 88/3 + (-94)/j and 135.
270
Let z be (-3 - (-2 - -1)) + -1294. What is the common denominator of 1 + 11/(-9) - (-27144)/z and 1/5 - 19/(-15)?
30
Suppose 0 = -4*y + 5*i - 81, -4*y - 66 = -2*i - 0*i. Let j be (((-4084)/(-3))/4)/(y/21). Let q = 538 + j. What is the common denominator of q and -57/10?
10
What is the smallest common multiple of (5/(25/18))/(81/2700) and (-11 - -22)/((-3)/(-15))?
1320
Let g be 1/((-3)/(-9))*-1 - -37. Let u be g/(-6)*6/12*-6. What is the common denominator of -1 + (u/(-12) - 2) and 59/4?
12
Let r(s) = 7362*s - 21. Let j be r(-3). Let k = j - -530707/24. Find the common denominator of -97/28 and k.
168
Let b = 209 - 52. Suppose -b = -3*a + 5*d, 4*a - 3*d - 27 = 197. Suppose 9*f - a = 4. Calculate the least common multiple of f and 15.
105
Let m = 15427/51390 - 1/5139. Calculate the common denominator of m and (-12)/18 + (-29)/10.
30
Let n be (-15)/(3825/567358)*(-134)/28. Let y = n + -10648. Find the common denominator of -82/165 and y.
1155
Let d = 358 - 356. Find the common denominator of -29/75 and 189/1215*57/d.
150
Suppose 0 = 2*w + 4*a - 112, -23*w = -21*w - 4*a - 112. Suppose w = 3*j - 2*k - 0*k, 4*k - 20 = 0. Calculate the least common multiple of 334 and j.
3674
Suppose 0 = -2*q + 5*g + 33, -16 = -5*q - g - 1. Let o = -183 + 187. Calculate the lowest common multiple of ((-5)/(-5))/(1/q) and o.
4
Let g be (-414)/2580 - (13/(-6))/13. Let v = -29479/3870 + g. Calculate the common denominator of v and 1/124.
1116
Suppose 29 = 2*j - 11. Let c(v) = v**2 + 26*v + 9. Suppose -62*y = -69*y - 189. Calculate the smallest common multiple of j and c(y).
180
Let u(q) = -2*q**2 + 42*q - 154. Let k = -4 - -8. What is the least common multiple of u(5) and k?
12
Calculate the common denominator of 71/16 and 6/11 - 23315/44660.
3248
What is the smallest common multiple of 2/4*-2 + 138 + -133 and 2890?
5780
Let k be 3*1 - (-11 + 2 + 63). Calculate the lowest common multiple of 50 and (2/6)/((-1)/(-12)) - k.
550
Let u(t) = -t + 2. Let a be u(3). Let p be (a - 1)/(1/(-12)) - 3. Suppose -2*v - 1 = p. Find the common denominator of v and 83/2.
2
Calculate the common denominator of 13 - 632*322/15960 and 94/285.
285
Let z(v) = -3*v. Let d be z(7). What is the common denominator of ((-44)/d)/(-1) + -2 and (-26)/12 + (-34 - -35)?
42
Let p = -12 - -9. Find the common denominator of -2*106/(-672)*p and (-307)/(-12) - 270/81.
56
Suppose 2*i = -4, -6*t + 4*t - 