84
Suppose -3 = v, -5*d - 5*v + 1 - 646 = 0. Let p = d + 206. Suppose p = l + 3*l. What is the lowest common multiple of 2 and l?
20
Let c = -379369/45 - -8429. Calculate the common denominator of -113/180 and c.
180
Let h = -7634 + 76459/10. Suppose 0*u + 100 = 5*u. Find the common denominator of h and 0 + 2/(u/111).
10
Let b = 91 - 21. Calculate the least common multiple of b and 4.
140
Let i(r) = -51*r - 33. Calculate the smallest common multiple of i(-1) and 446.
4014
Suppose -y + 6 = w - 17, -3*y = -9. What is the smallest common multiple of 122 and w?
1220
Let m be (-4)/6 + (-20)/(-3). Let s(w) = w**2 + 15*w - 6. Let h be s(-16). Let g = h - m. What is the smallest common multiple of 6 and g?
12
Calculate the common denominator of 30/(-75)*410/(-64) and 63/2.
16
Let j = 25/12357 - 20626108/1124487. Let t = j + 2/273. Let k = -289/30 - t. What is the common denominator of k and 133/6?
30
Suppose b = -r + 15, 0 = 4*r - 6*b + 5*b - 40. Let u be ((-104)/10)/(r/55). What is the lowest common multiple of u/(-6) + 2/6 and 23?
207
Suppose 4*x = a - 2*a + 165, -225 = -5*x + 5*a. Suppose -3*z - 8*s + x = -5*s, -5*z + 74 = 4*s. Calculate the lowest common multiple of 14 and z.
126
What is the common denominator of -113/80 and (-35)/231*((-6)/4)/1?
880
Let f = -2/287625 + -14285243/18983250. Calculate the common denominator of 47/242 and f.
2178
Let s = -451/2 - -635/3. Find the common denominator of 80/(-448)*7/((-70)/212) and s.
42
Suppose -5*b - 1 - 24 = 0. Find the common denominator of (-8 - (-2301)/120) + (-1)/b and 2/4 - (-30)/(-16).
8
Let u = -137/300 + 1/150. What is the common denominator of u and 67/392?
1960
Suppose a + 0*a + 3 = 0. Find the common denominator of 3*(0 - (-10 + a)) and 4 - ((-75)/(-4) - (-4)/(-1)).
4
Find the common denominator of 69/483 + 1 + (-109)/(-315) and -18/65.
585
What is the common denominator of (-426)/16*60/45 and -22/27?
54
What is the lowest common multiple of 1461/27 - (-5 + 6)/9 and 9?
54
Let d be (108/(-126))/(1/231). Calculate the smallest common multiple of (d/15)/(4/(-10)) and 12.
132
Let o(m) = -26*m**3. Let n be o(-1). Let v be (n/(-65))/((-2)/120). Let a = 27 - v. Calculate the smallest common multiple of 12 and a.
12
Let t(o) = 2*o**2 + 7*o + 6. Calculate the smallest common multiple of 11 and t(4).
66
Suppose b = p - 1465, -4*b = p + 4227 + 1608. Let l = b + 4453/3. Find the common denominator of 59/3 and l.
3
Suppose 52*g - 45*g - 14 = 0. Suppose 18 + 12 = v. Calculate the smallest common multiple of g and v.
30
Suppose 0 = -2*u + 3*u - 2. Let v be 395/u*(-513)/(-75). Let c = v - 1357. What is the common denominator of c and 42/5?
10
Let c = -23771/24 + 992. Let j = c - 13/6. Find the common denominator of j and (-3965)/(-728) + 3/7.
8
Suppose 2*d - 4*d = -182. Calculate the common denominator of d/12 - (-5)/20 and 157/6 + 4/(-2).
6
Suppose -3*n = 9 - 15. Suppose 4 = s - n. What is the least common multiple of 7 and s?
42
Let t(f) = 18*f + 3. Let h be t(-2). Let b = h - -51. Let d(w) = -4*w - 54. What is the least common multiple of d(-14) and b?
18
Let d = -248 - -146. Calculate the common denominator of d/108 + (-1)/2 and -55/2.
18
Let d be (40/(-12) + 2)*-18. Find the common denominator of 11/33 - (-46)/d and 24/7.
28
Suppose -11 - 31 = 3*l + d, 2*d - 46 = 4*l. Let r = -11 - l. Suppose 2*p + 3*g - 43 = 4*g, -67 = -3*p - g. Calculate the smallest common multiple of p and r.
22
Let v(w) = 7*w - 7. Let q = -6 + 11. Suppose 0 = p - x - 5, -2*x = -p - 0*x + q. What is the common denominator of v(p) and -31/3?
3
Let r = 6 + -4. Suppose 0 = -8*l + l + 14. Suppose -3*a = 4*w - 38, -5*a - 18 = -3*w - l*a. Calculate the least common multiple of w and r.
8
Let r = 39481/21 + -1876. Calculate the common denominator of r and 47/171.
1197
Calculate the smallest common multiple of 4 and 45 + 3 - (-24 - -20).
52
Let w(d) = d + 1. Let u be w(2). Suppose -u*k = -k. Suppose k - 12 = -q. What is the smallest common multiple of q and 12?
12
Suppose -38*j - 324 = -400. Let u = -16 - -24. Calculate the smallest common multiple of u and j.
8
Let s(z) = z**3 + 9*z**2 + 8*z - 9. Let g be s(-8). Calculate the smallest common multiple of (-4)/(-3) + (-33)/g and 7.
35
Let h = -2433/229 - -100847/50380. Let f = h + -1/440. Calculate the common denominator of 55/8 and f.
8
Suppose 5*l - 25 = -5*p, -23 = -3*l + 3*p - 2. Let h(x) = x**3 + x**2 - 1. What is the lowest common multiple of l and h(1)?
6
Suppose 5*i = 2*i + 15. Suppose 2*s + 2 = -4. Let o = s + i. Calculate the least common multiple of o and 2.
2
Let b = -1801121/88 - -20467. Calculate the common denominator of b and 91/110.
440
Let h = 6353 - 95224/15. Let c = h - 9/10. What is the common denominator of 83/14 and c?
42
Let j be 435533643/(-246)*(-1)/(-123). Let k = j - -14394. Let a = 72279/13448 + k. Calculate the common denominator of -17/7 and a.
56
Find the common denominator of 335/(-10)*9/432 and -101/32.
96
Let k = -17 + 29. Let g be (0 + -1)*1 + 3. Suppose -i + g*f = 0, 3*i + 2*i - 5*f = 20. What is the least common multiple of i and k?
24
Let p be (2/4)/(4/(-20928)). Let d be p/(-14) + 2/14. What is the common denominator of 3/8 and (d/(-176))/((-1)/4)?
8
Let k = 2200/9 - 248. Let w(l) = l**2 + 2*l - 1. Let r be w(-4). What is the common denominator of k and r/(-9) + -2 + 2?
9
Let m = -417506/51 + 8185. Calculate the common denominator of 8/57 and m.
969
Let m = 8869/856 + -52/107. Suppose 9*o + 18849 = -222. Let j = o + 12643/6. Find the common denominator of j and m.
24
Let i be (-112)/(-11) + 20/(-110). Let q be 11174/i*22/52. Let z = q - 6030/13. What is the common denominator of 16 and z?
10
Let o = 50 + -35. Let y(k) = k**3 - 15*k**2 + 14. Calculate the lowest common multiple of 6 and y(o).
42
Let h = -118 + 109. Calculate the least common multiple of (-46)/(-2) + (-12 - h) - 0 and 40.
40
Suppose 357 = -2*k + b, -9*k = -5*k + b + 723. Calculate the common denominator of (-155)/k*15 - (2 + 0) and ((-34)/(-4))/(-5*2).
60
Let m = -22 + 22. What is the least common multiple of (-1 + m)*4/(-2) and 8?
8
Let b = -216 + 244. Let t(v) = v**3 - 2*v**2 - 4*v + 3. Let g be t(3). Suppose 2*a - 16 - 20 = g. What is the smallest common multiple of b and a?
252
Let d(i) = i**2 - i + 3. What is the lowest common multiple of d(6) and 6*(3 + -6)*(-145)/87?
330
Suppose 3*p - 89 = 85. Let d = 66 - p. What is the smallest common multiple of 1 and d?
8
Let z = -61080 - -3420575/56. Calculate the common denominator of z and -61/40.
280
Let z(c) = -111*c**2 + 2*c + 1. Let v be z(-1). Let f(n) = 3*n**3 + 2*n**2 + 4*n - 1. Let i be f(3). Find the common denominator of 44/9 and 9/(-45) - v/i.
99
Suppose -7*y + 1399 - 783 = 0. Calculate the least common multiple of 24 and y.
264
Let h = 931 + -915. What is the lowest common multiple of 414 and h?
3312
Let r be (-25502)/(-5)*(-7)/14. Let z = r - -2540. Calculate the common denominator of 35/8 and z.
40
Suppose z = -f + 1, 2*z - 5*f = -0*z - 19. Let l(m) = 8*m**2 - 2*m. Let o = -128 - -130. Calculate the least common multiple of l(z) and o.
36
Let k = -11621/2820 - -29/188. Let x = 1673/8 + -210. Find the common denominator of x and k.
120
Let j = -84023/14 - -5994. Let x be 6*((-4317)/20 - 0). Let v = -1294 - x. What is the common denominator of v and j?
70
Let d = -32 - 11. Calculate the common denominator of 33/264 - -113*1/8 and d.
4
Let h(c) = -c**2 + 12*c - 3. Suppose -6 = v - 15. Let r = v - 0. Calculate the least common multiple of 4 and h(r).
24
Suppose -35*i + 36*i + 5*g = 33, 5*g = 2*i - 66. Calculate the least common multiple of i and 354.
3894
Let h = -868 + 912. Calculate the lowest common multiple of h and 4.
44
Calculate the least common multiple of 9/((-1287)/(-650)) - 6/11 and 18.
36
Let f(h) = 2*h**2 - 4*h - 3. Let r be f(5). Let g be (r - -4)/(-1 + 2). Let w = g + -97/3. Find the common denominator of w and -45/7.
21
What is the least common multiple of -12*8/(-16) + 3 and 156?
468
Let o = 4 - -20. Let d = -474 + 6651/14. Find the common denominator of o and d.
14
Let v = -484 + 340. Suppose -3*w + 18 = -3*r, -2*r = 2*r - 2*w + 18. Calculate the common denominator of 2/r + (-231)/v and -13/10.
80
Let m(t) = t**3 + 5*t**2 - 5*t + 5. Calculate the common denominator of 64/55 and m(-4).
55
Suppose 0*x = -5*