 172070 = 0. What is the least common multiple of 4678 and x?
9356
Let t(d) = -d**3 + 19*d**2 + 19*d + 15. Let h be t(20). Let l be (-2 + 2 + h)*-12. Let v = -59 + l. Calculate the smallest common multiple of v and 42.
42
Suppose i - 2*h = 22, 3*i + 0*h = -h + 87. Let z(o) = -o**3 + 3*o**2 - o + 1. What is the lowest common multiple of z(-3) and i?
812
Let v be ((-15)/((-135)/12))/(1/(-3)). Calculate the common denominator of -33/2 and (-32)/128 - 1/v.
2
What is the common denominator of -7*(-143)/91 - (4 - (-3206)/492) and (-2)/(-4)*(-122)/(-6)?
246
What is the common denominator of ((108/408)/(-9))/(20/91) and -3/28?
4760
Let d = -43 + 74. Calculate the common denominator of (d/15 + -3)*(-204)/(-16) and (-2)/((-708)/1635) - (-1 + 5).
590
Let a(o) = 90*o - 268. Let z be a(3). Calculate the common denominator of 64/77 and z/(1056/18) + -1.
616
Let f = 165 - 47. Suppose -10*c - f + 38 = 0. Find the common denominator of 113/70 and 0/c + 9/22.
770
Let n = 17 + -231. Let f = 217 + n. Calculate the least common multiple of 21 and f.
21
Let p(m) = -63 - 59 + 11*m**2 + 115 + 12*m + m**3. Let x be p(-10). What is the common denominator of 19/8 and (x/(-18))/(2/(-26))?
8
Let b = -18067 - -1589869/88. What is the common denominator of -65/88 and b?
88
Let b = 3900 - 3460. Calculate the least common multiple of b and 80.
880
Let s = 29455/8267 - -10/1181. Find the common denominator of (-2)/1 + (-648)/(-186) and s.
217
Let i = 5967501/2701156 - 780/353. Find the common denominator of i and -15.
7652
Let o = -10/1689 + -18941/2252. What is the common denominator of o and 2196/1674*19/38?
372
Let m = -13507495 - -135246983/10. Let n = -17619 + m. Let y = n - -413. Find the common denominator of 81/8 and y.
40
Let s be 1/8 - -55*390/48. Let o = -414 + s. Calculate the least common multiple of o and ((-18)/4)/(6/(-12)).
99
Suppose 0 = -50*u + 33*u - 6817. Let i = 406 + u. Calculate the smallest common multiple of i and 2.
10
What is the common denominator of 5/204 and (-521449)/(-259318) + (-3)/3*2?
53652
Let c(d) = 18*d**3 + 5*d - 3. Let t be c(3). Suppose -5*l + 382 + t = 0. Calculate the least common multiple of (28/119)/(6/51) and l.
176
Let h = -24 + 71. Let v be 1294/(-1140)*697/h. Let w = v - 1/4465. Find the common denominator of w and -49/30.
30
What is the smallest common multiple of 1011 and 58/29*(-9)/6*-17?
17187
Suppose 0 = 35*p - 41*p - 162. Calculate the least common multiple of 2/(-9) + ((-1761)/p - 3) and 2.
62
Let a = -4340 - -34773/8. Calculate the common denominator of a and (4 - (-66)/(-15))/((-64)/(-370)).
16
Suppose -2*n - 5*l = -11, n - 2*l + 5 = 15. Suppose -4*o - j - 42 = 0, 3*o - 4*j + 22 = -0*o. What is the lowest common multiple of n and ((-36)/30)/(4/o)?
24
Let y(k) = k**3 + 13*k**2 + 9*k + 11. Let h be y(-7). Find the common denominator of 322/(-63) + (-2)/12 and h/(-18) - -5 - -6.
18
Suppose -411 = -i - 4*r, 259 = 4*i + 4*r - 1433. What is the smallest common multiple of 56 and i?
3416
Find the common denominator of -1 + 14 - (-95513)/(-6855) and 2/1 + 388/(-16).
60
Suppose 11 = 4*x - 5*k - 10, 3*x + 4*k - 8 = 0. Suppose -y - x*q = -11, 0 = -5*y - 4*q + 7. Find the common denominator of (-3)/y*45/93 and 119/6.
186
Calculate the lowest common multiple of -280*((-100)/8)/25 and 1540.
1540
Let w = -329669/167688 + 284/137. Find the common denominator of w and -167/720.
12240
Calculate the common denominator of -61/2904 and 6 - -4 - ((-25725)/176)/(-15).
5808
Let q = 29019/7 + -4153. Let p = -17683 + 9969. What is the common denominator of q and (-1)/2 + 0 - p/(-348)?
21
Suppose 29*i = 268 - 36. Calculate the smallest common multiple of i and 704.
704
Suppose w = 4*q - 37, -3*q - 96 = 37*w - 35*w. What is the common denominator of w and -109/384?
384
What is the lowest common multiple of 66 and -1 + -3 + 1819 + -2 + -2 + 1?
19932
Let n = 256851093/3479 + -73829. Let h be (-2769464)/313110 + (-8)/(-20). Let t = h + n. Calculate the common denominator of t and -50/21.
63
Let c = 1213/8 + -315/2. Let u be 269270/205 + 0 + -2. Let q = 1312 - u. Calculate the common denominator of c and q.
328
Suppose 2*w = -5*t - 1, -5*w - 16 = -4*t + 3. What is the common denominator of -119/20 and w*(-28)/(-147) - 199/(-84)?
420
Let b = 1457 - 5869/4. Let m be ((12/15)/(-1))/(2/5365). Let o = m - -19288/9. Find the common denominator of o and b.
36
Suppose -7*x - 255 - 39 = 0. Let y be (x/50)/((-12)/30). Let q = -101/60 + y. Find the common denominator of q and 19/20.
60
Let r = -680 + 622. Calculate the common denominator of -18/67 and r/(-174)*108/(-22).
737
Let k = -4429 + 4487. What is the least common multiple of 7 and k?
406
Let s = -8400967/27746790 - -1448/5167. What is the common denominator of 127/1074 and s?
5370
Let y = -21281 - -96187. Let m = y + -52923. Let o = m + -395833/18. Find the common denominator of -73/16 and o.
144
Suppose 78*s - 390 = -0*s. What is the smallest common multiple of s and 10/3*(-117)/(-26)?
15
Let t be ((-17)/((-85)/1620))/((-3)/(-10)). Let d be (-33936756)/t - (-2)/10. Let h = d - -31415. Find the common denominator of h and -17/42.
126
Let o = 841/21 - 40. Let p = 7708 - 208142/27. What is the common denominator of o and p?
189
Let j = 3800/813 + -2/271. Let b = -426 - -1207. Let t = b - 7797/10. What is the common denominator of t and j?
30
Let a = -14806317/24475 - -15123/25. Find the common denominator of a and -149/66.
5874
What is the common denominator of -51/1078 and (0 + (-2)/(-1029))/((-672)/11592)?
7546
Let s be (1 - 0) + 1/(64/454332). Let h = -7096 + s. Find the common denominator of h and -31/24.
48
Suppose 0 = -h - 2*p + 282, -4*h - p + 287 = -3*h. Suppose 13*s + 32 - h = 0. Suppose 4*t = -0*t + 32. Calculate the lowest common multiple of t and s.
40
Calculate the common denominator of 5/9 and 6/6486*-2*(44/8 - 3).
9729
Calculate the common denominator of ((-23200)/11555 - -2)/(-3 + (-99)/(-44)) and -81/4.
9244
Suppose -4*o - 1 + 25 = 4*q, 4*q + 32 = 4*o. Let d(z) = z**3 + z**2 + z + 3. Suppose -8 = -4*l + 4. Calculate the lowest common multiple of o and d(l).
42
Let o(n) = -5*n**3 + 6*n**3 + 7*n + 2 - 5*n**2 - 3*n**2. Let p be o(7). What is the lowest common multiple of ((-16)/(-32))/(p/44) and 13?
143
Suppose 0 = -5*p + 4*t - 194 - 1362, 5*t = 20. Find the common denominator of p/(-484)*(-6 - -1)/(-1) and -21/256.
2816
Let b be -4 + 68/(-20) - (-4)/10. Calculate the smallest common multiple of 16 and (-42)/12*8/b.
16
Suppose 35 = 4*i - 5*y, 5*i - y = -5*y + 13. Suppose -4*g = 5*n, -1 = -4*n - i*g + 2*g. Calculate the least common multiple of (10/(-40) - 7/n) + 156 and 20.
1540
Let h(k) = 2*k**3 - 13*k**2 + 122*k + 14. Calculate the least common multiple of h(8) and 7.
8274
What is the common denominator of 44/21 and 1311/214947*(-3 - 0 - -6)?
8799
Suppose 22 - 1678 = 3*b - 4*z, -z = 0. What is the common denominator of -2*5/270*b/(-16) and (-6)/(-5)*(-18)/(-16)?
180
Let q(w) be the third derivative of w**4/6 - 78*w**2. What is the least common multiple of q(5) and 20?
20
Suppose 15 - 3 = 3*f. What is the common denominator of (((-55)/(-25))/(-11))/(12/(-327)) and ((-146)/(-16))/(-1 + (-18)/f)?
220
Let b be (-3)/(-5 - (3 - 5))*20. Suppose -4*t + 190 = -2*h, -40 = -t + 3*h + b. What is the least common multiple of 90 and t?
90
Suppose -4*l = 4*p, -5*l = 3*p - 7*l - 20. Suppose -p*y = -144 - 28. Find the common denominator of y and 73/3.
3
Suppose 0 = 34*k - 284 - 124. Calculate the lowest common multiple of k and 24/(-1)*(-27)/18.
36
Let v = -383 + 419. What is the smallest common multiple of -7*32/12*-3 and v?
504
Let p = -89 - -62. Let j be 8/3 - 2 - (-45)/p. Find the common denominator of -1/8 and (340/16)/((-2 - -1) + j).
8
Suppose -36*x + 56 = -28*x. Find the common denominator of x/((-441)/(-6))*(-333)/(-8) and 131/42.
84
Let w(z) = -z**3 - 22*z**2 + 2*z + 44. Let p be w(-22). Suppose 2*u + 3*s - 27 = p, 5*s + 1 = -2*u + 34. What is the least common multiple of 14 and u?
126
Let l = -1464 + 64511/44. Calculate the common denominator of -107/28 and l.
308
Suppose -15*y = -18*y + 603. Let t = y - 122. What is the smallest common multiple of 3 and t?
237
Suppose 3*t + 4*i = -206, -2*i - 75 = t - 7*i. Find the common denominator of 161/12 - (-3)/(-3) and (6/(-44))/(60/t).
132
Suppose -