Let x be l(-8). Suppose -9*u = -x - 82. Suppose 4*j + 2*j = 144. Calculate the least common multiple of j and u.
72
Suppose 0 = b + 2 + 1, 0 = w + 2*b + 12. Let v = -404165/41992 - 1/5249. What is the common denominator of -794*6/744 - w and v?
248
Suppose 10*b - 6*b - 2*b - 24 = 0. What is the smallest common multiple of 72 and b?
72
Let n be 58/37008*-142 + (-40)/(-180). Let k = -63733/9252 + n. Find the common denominator of k and 5 + -1 + (-1)/3.
9
Let v(p) = 9*p + 171. Let s be v(-21). Find the common denominator of 12 + s + ((-111)/(-84) - -2) and ((-6)/4)/((-108)/39).
168
What is the common denominator of 49/209 and (348/10)/(-299 - (0 + 5 + 0))?
8360
Suppose -84*z - 4*i = -80*z - 56, 10 = -5*i. Calculate the lowest common multiple of z and 195.
3120
Let j = 5975769/220 + -27163. What is the common denominator of j and 17/528?
2640
Let m(c) = c**3 + 3*c**2 - 6*c - 2. Let p be m(-4). Let o be ((-38)/p)/(22/21 + -1). Let u = o - -14637/110. Find the common denominator of u and 43/10.
110
Suppose -20*i + 29*i = -16*i + 75. Calculate the lowest common multiple of i and 758.
2274
Let d = 53 - 1. What is the lowest common multiple of (-94)/(-7)*(-231)/(-66) - 3 and d?
572
Let j = -36116 + 36190. What is the smallest common multiple of 42 and j?
1554
Let q(b) = -44*b - 433. What is the least common multiple of 64 and q(-10)?
448
Suppose -3613*x + 3615*x - 780 = 0. What is the lowest common multiple of 1170 and x?
1170
Let q(i) = -i**3 + 7*i**2 - 3*i + 3. Let b be q(7). Calculate the common denominator of (-26)/(-20)*3/(-12) and 92/(-360)*3*b/(-4).
40
Suppose -2*y - 13 + 19 = 0. Suppose -c = -4*p + 20, 4*p - y*c + c = 24. Suppose p*n = -d + 46, -2*d = 3 + 1. Calculate the lowest common multiple of 21 and n.
84
Let m = 144501/3322 + 3/1661. Let x be (-14)/(-6684)*(-693445)/(-35). Let i = 2/1671 + x. Calculate the common denominator of m and i.
2
Let h = 12897535/118 - 109302. Let m = 8/1099 + -56225/24178. Calculate the common denominator of h and m.
1298
Let h = 37134 - 8317965/224. Find the common denominator of h and -121/2436.
19488
Calculate the common denominator of 3*((-35)/(-225) + 0)*(-1292)/(-119) and ((-279)/(-6))/((-180)/(-16)).
15
Suppose 1804 = 50*a - 35*a + 67*a. What is the lowest common multiple of a and 25578?
281358
Let q = 646 + -618. What is the least common multiple of 173 and 36/q - (-6)/(-21) - -1?
346
Find the common denominator of 28/40 - (26 - 17) and 26/3359.
33590
Let p = 2742 + -1206. Calculate the smallest common multiple of p/10 - (-1)/((-10)/(-4)) and 2.
154
Let c be ((-33)/(-712206))/((532/7567962)/(-1)). Let g = -2/43491 - c. Find the common denominator of 23/84 and g.
924
Let l be -546*(232/14 + -8). Calculate the common denominator of -19/13 and (-3)/2 + (-10656)/l.
130
Let h(r) = -16*r**2 + 130*r - 476. Let p(k) = -3*k**2 + 26*k - 95. Let t(q) = -2*h(q) + 11*p(q). Calculate the least common multiple of t(15) and 63.
504
Let u be ((-3 - -212) + -3)/(-3 - -2). Let l = u - -214. Calculate the lowest common multiple of 32 and l.
32
Suppose 3*b + 2*j + 2*j - 1874 = 0, -5*b - 3*j = -3105. What is the smallest common multiple of 6 and b?
618
Let v be (-4)/(-18) - (-158)/18. Let a = -251 - -265. Suppose -20 = v*i - a*i. What is the smallest common multiple of 11 and i?
44
Let f be (-3)/5 + 103/5. Suppose 2*h + 4 = -4*v + 20, -f = 4*v. Let x = h + -12. What is the smallest common multiple of x and 12?
12
Let a = 186378 + -288515. Let c = 54745455/536 + a. Calculate the common denominator of c and -29/5.
2680
Let n = -105 - 95. Let b be (6/4)/((-15)/n). Calculate the least common multiple of 8 and (-9 - -11)/(1/b*2).
40
Let a(o) = 37*o - 4. Suppose 4*q = 7 + 1. Let m be a(q). Let w = -60 + m. Calculate the smallest common multiple of w and 4.
20
Let b(i) = 44*i - 75*i - 5*i**2 + 2*i**2 - 14. What is the least common multiple of 18 and b(-9)?
198
Suppose 7 + 16 = q. What is the common denominator of 20/(-5) + 28/8 - 1 and -10*3/72*q?
12
Let f be 53 + -53 - 2*438/(-76). Let u = f + -1591/171. What is the common denominator of -77/26 and u?
234
Suppose -3*k = -2*t - 724, 66*k - 69*k + 3*t + 729 = 0. Calculate the smallest common multiple of k and 306.
2142
Let q = -887197 + 99367477/112. Let t be (2/16*(-4626)/(-21))/(-3). Let k = t + q. What is the common denominator of k and 89/36?
144
Let g be (8/10)/(2 + 343/(-175)). Calculate the common denominator of 49/3 and 11 + -9 + (-216)/g.
15
Suppose -29*l + 79*l = 46*l + 16. Calculate the smallest common multiple of 350 and l.
700
Let s = -42238/4015 - -7406541/682550. Let p = s + -28/275. Find the common denominator of -33/20 and p.
340
Let n(c) = c**3 + 5*c**2 - 6*c - 2. Let t be n(-5). Find the common denominator of -85/182 and (-46)/40 - t/70.
1820
Let h be (-2)/7 + (-355608)/(-28). Find the common denominator of -62/3 and (-1 - -2) + (h/(-24))/(-25).
6
Let g = 600614647/1220 - 492307. Calculate the common denominator of 13/10 and g.
1220
Suppose 7 - 91 = -4*b. Let h = b - -6. What is the lowest common multiple of h and 24?
216
Let b be ((-24)/(-3) + -8)*1. Suppose -16*u - 5*u + 504 = b. What is the lowest common multiple of u and 52?
312
Suppose -2*i + 30 = 3*a, -3*i - 2*a - a + 45 = 0. Suppose 3*v = 2*r - 5*r + 33, 0 = -2*v + 5*r + i. What is the least common multiple of 12 and v?
60
Suppose 3*n + 5*a - 43 = 0, -2*n + 2*a + 66 = 2*n. What is the common denominator of ((-15)/n)/(16/192) and 9/116?
116
Suppose 0 = 5*m - x - 226, -8*x = 7*m - 5*x - 312. What is the least common multiple of 396 and m?
1980
Let a be 10/60 - (-483)/18. Calculate the least common multiple of 4 and (33 - a)*29/3.
116
Let l(p) = -15*p - 104. Let b(g) = 46*g + 313. Let t(d) = 2*b(d) + 7*l(d). What is the smallest common multiple of t(-8) and 12?
12
Let v = 1/7975 + -518383/63800. What is the common denominator of ((11913/1596)/(-209))/(-1 + (-182)/(-190)) and v?
112
Suppose 2*y = 91 + 29. Suppose -3*b + 4*j = -160, -3*j + 8 = -7. Calculate the smallest common multiple of b and y.
60
Let x = 9399695/156 - 60254. What is the common denominator of x and -58/33?
1716
Let y(h) = -143*h - 2391. Calculate the lowest common multiple of y(-17) and 3728.
18640
Suppose b - 5*q - 56 = 0, -q = -5*b - 2*q + 254. Let k = b - 41. Suppose -k*s + 90 = 5*s. What is the least common multiple of 130 and s?
390
Suppose 5*a + 121 = m, 3*a + 98 = 4*m - 301. What is the smallest common multiple of 20 and (m/20)/((-6)/(-45))?
180
Let v = -6924/6233 + 43/813. Find the common denominator of v and (2/3)/(160/(-2200)).
138
What is the common denominator of (-4)/26 + 13256/4368 and 130/16*((-12)/27 - 0)?
126
Suppose 5*j - 8 = 2. Suppose z + 5*o = 36, 0 = j*z + 5*o - 52 + 5. Suppose -x + 24 = s, -4*x + 5*s + z = -58. What is the least common multiple of x and 27?
189
Let c = -176 + 285. Let m = c + -103. What is the common denominator of -29/6 and m/7*(-28)/(-80)?
30
Suppose -2*x - m + 2908 = 0, -38*x + 5*m = -35*x - 4375. Calculate the lowest common multiple of x and 5.
1455
Let v = 1253227/114 + -10994. Find the common denominator of 1/873 and v.
33174
Let k = 1650959/6 + -269262. Let f = 5883 - k. Find the common denominator of f and ((-7)/84)/((-4)/(-522)).
24
What is the lowest common multiple of -1 - ((-1 - 2) + -4) and 19/2 - 54/108?
18
Let k(f) = 204*f + 4. Let y be k(2). Suppose -7*n - 125 = -y. Suppose -45*i + n*i = -8. Calculate the smallest common multiple of 9 and i.
18
Let j(f) = 96*f**2 - 73*f - 378. What is the least common multiple of 2387 and j(-5)?
2387
Let x = 1089418 - 2126543885/1952. Find the common denominator of x and 107/14.
13664
Let c = 426677/24 - 17773. Let t = -62 - -1463/24. What is the common denominator of c and t?
24
Suppose 9*g - u = 6*g - 27905, g - u + 9299 = 0. Let h = g - -334963/36. Let a = -80757/14 + 5764. Find the common denominator of a and h.
252
Let q = -4306 - -4474. Calculate the least common multiple of q and 1.
168
Let m(u) = -8*u - 2. Let b(v) = -9*v - 12 + 106*v**2 + 33 - 26. What is the smallest common multiple of b(-1) and m(-3)?
110
Let c(m) = -m**3 - 9*m**2 + 8. Let l be c(-9). Suppose 10*v = 9*v + l. What is the lowest common multiple of 98 and v?
392
Let a = -197 - -227. What is the least common multiple of a and 52?
780
Suppose 0 = -624*v + 594*v + 300. What is t