5*f + 298*f = 137, -5*z + 178 = -3*f. Calculate the smallest common multiple of 3 and z.
105
Suppose 4*j = -10*j + 5*j. Suppose 6*z - z - 15 = j, 2*z = -3*n - 21. Let q = 18 + n. Calculate the least common multiple of 21 and q.
63
Suppose 3*y + 690 + 3877 = -2*k, -3*k + 1537 = -y. What is the common denominator of -125/6 and (-4)/(-14) + y/20650?
354
Let c = 269993507 + -908798137165/3366. Let h = 88/153 + c. Calculate the common denominator of 3/((-108)/218)*1 and h.
198
Let v = 5728141982933/3670 - 1560801618. Let u = v + -120/367. Calculate the common denominator of u and (-210)/16*5/60.
160
Let c(l) = 5*l + 48. Let h be 3*(-5)/(-1)*18/(-30). Calculate the lowest common multiple of 30 and c(h).
30
Suppose -3*o = 2*k + 68, 5*o + 65 = -3*k - 47. Let j = 12 + o. Calculate the common denominator of 105/22 and ((-1331)/88)/(2/(j/6)).
132
What is the common denominator of 31/35 and (-176)/792 + (-5)/18 + (-849)/(-1645)?
3290
Suppose 0*l - 5*k = -4*l + 215, 2*k - 57 = -l. Let s = 64 - l. Suppose 3*m = 43 + 11. Calculate the least common multiple of m and s.
18
Suppose -10 = -67*u + 62*u. Suppose 3*g + 26 = c, -93 = -3*c + u*g - 29. Calculate the least common multiple of 78 and c.
780
Find the common denominator of 2420/1144*(-44)/700 and -16/455.
910
Let i(x) be the first derivative of -2*x**2 + 27*x - 103. Calculate the lowest common multiple of 10 - (-2)/(-4 + 2) and i(5).
63
Let c = 109 + -61. Let q = 3345 + -113739/34. Calculate the common denominator of -2*50/c - 3 and q.
204
Calculate the common denominator of -55/8 and (-2 - (-590)/296)/(-12 - (-56875)/4650).
12728
What is the common denominator of 151/522 and (185*(-2)/42 - -7)*21/36?
522
Suppose 2*h + 5*m = 18854, 7*h - 3*m = 5*h + 18838. Find the common denominator of h/1323 + -5 + -2 and 68/45.
945
Suppose -149 = -z - 131. Calculate the least common multiple of z and 2.
18
Suppose 0 = -i - 3*i + 6345 - 4137. What is the smallest common multiple of i and 276?
552
Calculate the least common multiple of 78 + -4 + (7 - 7) + 1 and 30.
150
Let q be -10*(2 + (-175)/10 - 3). Let l = -173 + q. Suppose 0 = 4*i - 0*i + 5*z - 28, 0 = 4*i + 2*z - 40. Calculate the least common multiple of l and i.
12
Suppose -3*s - 2*c = -3*c + 18566, 30938 = -5*s - c. Let p be s/51*(-87)/11. Let r = p - 962. What is the common denominator of 57/5 and r?
55
Let l be (-10)/(-15)*5*-15. Suppose 0*v = -3*k + 3*v + 276, -3*v - 6 = 0. Calculate the least common multiple of (k/l)/((-3)/10) and 14.
42
Let x(r) = -16*r**3 - 10*r**2 - 14*r + 64. What is the smallest common multiple of 820 and x(-4)?
4920
Suppose 0 = -2*w - 883 - 1139. Let r be 5/(-4)*7282/(-9). Let u = r + w. What is the common denominator of -11/4 and u?
36
Let k(n) = n**3 + 16*n**2 - 60*n - 45. What is the least common multiple of k(-19) and 40?
120
Let n = -14781 + 14789. What is the lowest common multiple of 22 and n?
88
Let u = 431 + -3880/9. Calculate the common denominator of 44/177 and u.
531
What is the common denominator of 47/22 and (-804)/(-835624)*(-103)/(-9)?
102894
Let s be (-12)/(-48) + 6989/(-4). Let y = 739 + s. Find the common denominator of 4/(-18) - (-3094)/y and 64/51.
408
Suppose 1307 + 119 = 9*q + 121. Calculate the smallest common multiple of q and 7.
1015
What is the common denominator of 7 - (1*6 + (-2555)/(-219)) and 31/368?
1104
Let j = -482629/54 + 8937. Calculate the common denominator of -55/378 and j.
378
Suppose 2*a = 2, -33*g + 36*g = 3*a + 276. Calculate the least common multiple of 12 and g.
372
Let u = -38/231 - -52636/317163. Let f = 31757/122197 - u. Find the common denominator of 10/3 and f.
267
Let v = -13751/6180 - -406/103. What is the common denominator of 71/24 and v?
120
Suppose 3*o + 43*a = 45*a + 312, 5*o = 4*a + 522. What is the smallest common multiple of 595 and o?
3570
Suppose -198 = -2*i - 9*i. What is the lowest common multiple of 12*(329/6 + 10) and i?
7002
Let c be (-2)/4 - -3*(-2936)/171. Let y = c - -586/19. Find the common denominator of y and (33/(-15))/((-8)/5).
24
Calculate the common denominator of -109/342 and 1*(-6)/(-10) - 22/((-29700)/1790).
1026
Let m(z) = z**2 - 10*z - 12. Let t be m(11). Find the common denominator of (-4)/(-22) + (-82892)/(-8976) and t/3 - (-2235)/(-990).
132
Let b = -10017100/513 - 6236/513. Let p = 19841 + b. Let c = -2391/8 + p. What is the common denominator of c and 1/24?
24
Let b = 5566 + -5300. What is the lowest common multiple of 418 and b?
2926
What is the common denominator of 7650/425 - 1*(11 + -1) and -15/1868?
1868
Let j = -77 - -54. Let o be (31/(-5))/(j/2668). Let v = -711 + o. What is the common denominator of v and -31/2?
10
Let h = -15 + 12. Let o = 301 - 105. Find the common denominator of (o/(-126))/(2/h) and -133/24.
24
Let q(y) = 8*y - 14. Let u(t) = -t**3 - 20*t**2 - 2*t - 28. Let a be u(-20). What is the smallest common multiple of q(4) and (a/(-8)*4)/((-2)/4)?
36
Find the common denominator of ((-2)/204)/((-407)/1850) and 50/51.
561
Let o = -156417074441/27988781288 - -7/14164363. Let p = 9/247 - o. Let x = -21016/7 + 841277/280. What is the common denominator of x and p?
40
Find the common denominator of 91/13794 and 3/54*318 + 1 + -3 + 4.
13794
What is the common denominator of 73/42 and (-18)/(-9) - ((-36)/17496)/(1/(-895))?
3402
Let a = -257 - -270. Calculate the common denominator of (-75)/(-60)*a/(-2) and 49/24.
24
Let m(g) = 15*g**2 + 2. Let a be m(1). Suppose -1048 - 346 = -a*d. What is the lowest common multiple of 26 and d?
1066
Let n be -3 + 0 + (-6)/((-30)/55). Suppose -16 = -n*h + 16. Calculate the common denominator of (-595)/(-306) - h/(-6) and -4/27.
54
Let x = 107 + -29. Suppose 2*s - 104 = -2*s - 3*t, 0 = 3*s + 5*t - x. Calculate the lowest common multiple of s and 20.
260
Let n = -2609284265/2544 + 1025662. Find the common denominator of n and -91/48.
2544
Suppose 5*l = l, 2*o = l - 32. Let c be 86/o*-6*4. What is the common denominator of 21/10 and 2 - (0 + 3*c/18)?
10
Suppose -5*r = 4*d - 318, -11*r = -8*r + 5*d - 196. Suppose 34*y - r - 74 = 0. What is the least common multiple of y and 9?
36
Let h(k) = k**2 + 4*k + 1. What is the least common multiple of 17 + (-3 - (-10 + 4 + 7)) and h(-5)?
78
Let b = 112840369831 + -28435703736011/252. Let z = b + -275640. Find the common denominator of 91/6 and z.
252
Let j(z) be the third derivative of -17*z**2 + 13/24*z**4 + 0 + 3/2*z**3 - 1/60*z**5 + 0*z. What is the least common multiple of j(12) and 33?
231
Suppose -8*z + 12*z = 4, 2*c - z - 119 = 0. Calculate the least common multiple of 2424 and c.
12120
Suppose -4*a = -2*d - 480, 2*a = -5*d - 0*d + 240. Suppose 0 = 4*m - 12*m + a. Calculate the smallest common multiple of 46 and 216/15 - (-3)/(m/(-2)).
322
Suppose 5*i - 17 = -7. Let l = 0 - i. Calculate the smallest common multiple of 22 and (-3)/(-9) - (l + 1995/(-9)).
2464
Let t be 0/4 - -7 - (8 - 0). Let f be (1 + 0)*(-12)/2. What is the common denominator of -53/12 and (t/f)/(3/(-213))*-2?
12
Let x be (-3422)/(-232) + 6/(-8). Calculate the lowest common multiple of (1/(x/(-48)))/(87/(-406)) and 116.
464
Let q be 1 - ((-8)/(-224))/(24/(-14182)). Let x = q + -329/12. Find the common denominator of x and 97/30.
240
Suppose -449 = -12*u + 151. What is the least common multiple of (6/2)/(6/30) and u?
150
Suppose -2*y = -l + 22, 35*y = -l + 30*y + 1. What is the smallest common multiple of l and 398?
3184
Suppose 235 + 283 = 7*n. Calculate the common denominator of -101/4 and (-229)/n - (0 - 6/3).
148
Let x be (594/132)/(3/4). Calculate the common denominator of (-5)/(-10)*42/10 and 15/(-162)*(x + -17 + -5).
270
What is the least common multiple of 10 and (18/(-6) + (-2185)/(-10))/(9/36)?
4310
Suppose 14*i = 5*i - 75069. Let v = i - -83481/10. Find the common denominator of -145/12 and v.
60
Let j = -103 + 106. Suppose 645 = 7*v - 4*v + j*f, -2*v + 415 = -f. Calculate the lowest common multiple of 4 and v.
420
Let h = 32903/10 + -3285. Let r = 1/64869 - -6032519/19330962. What is the common denominator of r and h?
1490
Suppose -5*r - 2*f = -7897, 0 = -5*r + r + 4*f + 6340. Let y be (4 - (-69)/(-54))/((-3)/r). Let j = y - -1435. Calculate the common denominator of j and 75/22.
198
Let h = -61 + 62. What is the common denominator of 133/6 and h + 1329/(-216) + (-6)/(-16)?
18
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