 -280 + 289. Find the common denominator of j/(-8) - (-2 - 0)*-1 and 79/40.
40
Let r = 2/493 + -12908/22185. What is the common denominator of r and 89/60?
180
Suppose 0 = -2*t + o + 695, 138*o = 3*t + 139*o - 1030. What is the smallest common multiple of 483 and t?
2415
Suppose 2*w = 2*y, -2*y + 2 = -0*w - w. Suppose -4*q = w*q - 36. What is the smallest common multiple of 8 and (3 - 1)/(q/15)?
40
Let o = 1/67 + -260/21909. Let n = 211/2289 + o. What is the common denominator of -25/12 and n?
84
Suppose 3*j + 2*j - 100 = 0. Let v be 24/(-14)*(40/(-16) - 1). What is the smallest common multiple of 4 + 3*40/v and j?
120
Let l be 2/7 - 262842/(-420). Let q = l + -625. Find the common denominator of 2 - -5 - 806/(-1116) and q.
90
Let b = 8021 + -47989/6. Calculate the common denominator of (46/7)/(-10 - (-1946)/245) and b.
36
Suppose 2*b - 3*n - 204 = 0, -5*b + 30 = -5*n - 470. What is the least common multiple of 1232/140 + 8/(-10) and b?
96
Let u(c) = -102*c - 5522. Calculate the smallest common multiple of u(-56) and 969.
9690
Let g(b) = -b**2 + 22*b - 2. Suppose 12*n - 112 = 8. Calculate the lowest common multiple of g(n) and 4.
236
Suppose -28*f + 8*f + 16*f + 60 = 0. What is the smallest common multiple of f and 1773?
8865
Suppose -80 + 8 = -a. Find the common denominator of (-2 - -3) + 2/(a/(-75)) and -13/148.
444
Find the common denominator of -7 + 4/(-42) + 873397/121128 and -65/309.
2472
Let k be (-11405)/15196 + 240/320. Let a = 72405/425488 + k. What is the common denominator of a and 79/64?
448
Let p = -19940 - -438703/22. Calculate the common denominator of p and -13/2874.
31614
Let m(y) = 2*y**2 + 117*y - 150. Calculate the least common multiple of 270 and m(-60).
270
Let j be (16 - 14)/(-2 - 454/(-192)). Let t = j - -59/14. What is the common denominator of 59/110 and t?
110
Suppose 0 = 2*q - u - 26, 4*q - 28 = -0*q - 4*u. What is the least common multiple of (-70)/245*(-6 + 13)*-13 and q?
286
Suppose -3*p = n - 437, 2*p - 2*n = -n + 283. Let b = p + -95. Suppose 32 = b*d - 45*d. What is the lowest common multiple of d and 2?
8
Let t be 5 - 40507/(-6) - 1. Let n = -6739 + t. Calculate the common denominator of n and 89/14.
42
Let i be (-8)/(-12) + (-25)/15. Let v(p) = 31*p + 42. Calculate the least common multiple of v(i) and 2.
22
Suppose r + 0*f = 2*f + 895, 5*r = 8*f + 4465. Calculate the least common multiple of r and 21.
6195
Suppose 38*k + 69 = 259. Suppose -64 = p - k*p. Calculate the least common multiple of p and 42.
336
Let y(p) = 4*p + 23. Let w = -2635 + 2638. What is the least common multiple of y(13) and w?
75
Let u = -1021 + 1028. What is the least common multiple of u and 265?
1855
Let b(d) = 2 - 182*d + 6 + 183*d. Let p be b(-3). Suppose 63 = p*r + 2*j, 5*r + 0*j - 2*j = 47. What is the least common multiple of 7 and r?
77
Let b(x) = x**3 - 12*x**2 - 9*x - 12. Let h be b(10). Let v = 334 + h. What is the least common multiple of 48 and v?
96
Let w be (-2)/8 + 484/16. Let x be 2*-1 - w/(-6). Suppose 16 + 1 = y - x*i, 5*y - 49 = 3*i. Calculate the lowest common multiple of y and 7.
56
Let c = -263 + 187. Let m = 30843/4319 - -1/617. What is the common denominator of 6/(-4) + c/(-56) and m?
7
Let z = 404827/28 + -14461. Calculate the common denominator of 67/6792 and z.
47544
Let h = 172468815184630 + -2618980351094247228009/15185240. Let m = h - -3/108466. Find the common denominator of m and 47/8.
280
Suppose 2*m + 686 = 107*v - 103*v, 525 = 3*v - 5*m. Calculate the lowest common multiple of v and 459.
4590
Let l be (-2 + (-17)/(-4))*(-18 + 6). Find the common denominator of -8 - -2 - -4 - (-194)/32 and (3/8 - 0)*(-1212)/l.
48
Let q(w) = -w**2 + 20*w + 37. Let j be q(17). Let a = -90 + j. Calculate the smallest common multiple of 28 and 23 + 6 + (3 - 6) - a.
28
Calculate the common denominator of ((-9)/(-42))/(600/(-1220)) and 139/490.
980
Let j = -202536226489/38234672 - 6/2389667. Let h = -5293 - j. Find the common denominator of h and -53/178.
1424
Let n = -2804 - -8365/3. Find the common denominator of n and -37/2577.
2577
Let f = 1259 + -1239. Suppose 20 = 4*o, 28*j - 29*j = -4*o + 16. Calculate the lowest common multiple of f and j.
20
Suppose 2*y = -s - 14, 0 = 5*s + 921*y - 916*y + 30. Calculate the smallest common multiple of s and 2930.
2930
Let h(j) = j**3 - 29*j**2 + 57*j + 3. Suppose 122 + 129 = 5*d - 2*w, 193 = 4*d + w. Calculate the least common multiple of d and h(27).
588
Let i = 4299/4 + -1061. Find the common denominator of (-3 - -106)*3/54 and i.
36
Let o = -15777/19 - -830. Let w be -3 - (-3 + -6) - (0 - -4). What is the common denominator of o and 9*w/4*(-2)/(-6)?
38
Let i = -113 - -80. Let g = 38 + i. Suppose 50 = g*w - 0*w. What is the least common multiple of w and 12?
60
Suppose 75 = -z - z + 3*l, -l + 165 = -4*z. Let q = -2/2103 + 21733/2103. What is the common denominator of q and 220/z - 44/(-22)?
21
Let l be (-2)/1 - (-31 + 25). Let h(j) = 9*j**3 - 2*j**2. Let z be h(2). What is the common denominator of ((-138)/z)/(18/l) and -75/8?
48
Let n(i) = -187*i - 3262. What is the smallest common multiple of n(-22) and 24?
1704
Let m = -5587/663 + 107/13. What is the common denominator of m and (((-86)/903)/(2/(1036/6)))/2?
153
Let v be ((-390698)/33)/((-2)/12). Suppose -6*g - 29672 = -v. Let a = -82633/12 + g. Find the common denominator of 80/21 and a.
84
Let r = 5649 - 33877/6. Calculate the common denominator of 59/6 and r.
6
Let l be 4 - (-7 - (2 - 3))*2. Let c = l + -13. Let n = c - -30. What is the smallest common multiple of n and 15?
165
Suppose 3*l - 2*v - 107 = 0, -4*l + 166 + 15 = 5*v. Suppose 4*b - 103 - 43 = -2*t, -3*b = 2*t - 147. Calculate the lowest common multiple of l and t.
975
Let p = -4 + 9. Find the common denominator of (p + 1)*(-92)/(-115) and -49/2.
10
Let q = 686 - 959. What is the common denominator of -62/231 and 39/q + 299/84?
924
Suppose 2*m + 2*m + y + 26835 = 0, m - y + 6705 = 0. What is the common denominator of m/(-720) + -3*1 - 6 and -119/54?
540
Calculate the common denominator of 44/9 and (-2405)/176 - -9 - 30/(-6).
1584
Suppose -5*y + 3*w + 4 = 10, y = -5*w + 10. Suppose -2*v - x = 1, y*x = -2*x - 10. Calculate the smallest common multiple of 4 and ((-6)/8)/((2/v)/(-16)).
12
Suppose -3*t + 891 = 4*g, -t + 4*t - 669 = -3*g. Let m = 522297 + -522295. Calculate the lowest common multiple of m and g.
222
Calculate the common denominator of ((9/2 + 3)/(-3))/128 and 250/4*42/2310.
2816
Let m = -1565175/73 + 21442. Let r = m - -500/2117. Calculate the common denominator of -2/11 and r.
319
Calculate the common denominator of -121/1770 and (-9)/40*18745/4890.
14160
Suppose 30 = 5*s + 10. Calculate the lowest common multiple of 56 - 18/5*185/(-74) and s.
260
Find the common denominator of -181/540 and (75/700)/((-810)/(-3115)).
1080
Let t = -1676177 - -2533072. Let p = t - 359896081/420. Calculate the common denominator of p and -115/18.
1260
Suppose 14*z + 29 - 603 = 0. Let w = 49 - z. What is the smallest common multiple of 8 and w?
8
Suppose 0 = j - 4*o - 3 - 15, 2*j - o - 57 = 0. Suppose 6*v - 2*v - 8 = -5*k, -2*v = -3*k + 40. Calculate the smallest common multiple of j and k.
120
Let s be (-28 - -23) + (-20714)/(-3740). Let k = -11/85 + s. Let c = -32304/9383 - 10/853. Find the common denominator of c and k.
22
Let q(o) = 174*o - 10432. What is the smallest common multiple of 666 and q(60)?
2664
Calculate the least common multiple of 2/((-8)/(40/(-5))) and -1*((-5355)/49 - (-2)/7).
218
Let m = -67671/28 + 2418. Let l = 722 - 1354. Let b = l + 3743/6. What is the common denominator of m and b?
84
Let w = -238 + 371. Let c = 138 - w. Calculate the lowest common multiple of c and 151.
755
Let z(n) = 45 - 11*n - 10*n**2 + 22*n**2 - 11*n**2. Let y = -13 - -24. What is the lowest common multiple of z(y) and 1?
45
Suppose 0 = -g - 19 - 7. Let m be 6/4 + (-14313)/g. Calculate the common denominator of -23/12 and (-2875)/m + -1*2/4.
24
Suppose -9*w + 964 = 154. What is the common denominator of 509/w + -6*3/81 and -41/126?
630
Let n be ((-2 + 3)/1)/375. Let c = n - -5617/3000. Calculate the common denominator of (-6)/105 + (-20)/25 and c.
56
Suppose -49 = -3*p + 5. Let u = 40520 + -40486. Calculate the least common multiple of p and u.
306
Suppose -5*t = 2*k + 3*