et x(r) = -7*r + 140. What is the lowest common multiple of 1281 and x(15)?
6405
Let s = 1280355277/516 - 2481310. Let a = s - -168/43. What is the common denominator of a and 29/2?
12
Let o = 52 + -46. Suppose -z - 3 = 3*c, 3*z + o*c + 14 = 2*c. Calculate the common denominator of ((-52)/(-6))/((-14)/z) and 49/8.
56
Find the common denominator of (-31155)/(-1746) + 342/(-19) and -52/11.
6402
Suppose 0 = 118*u - 114*u + 180. Let a be ((-7)/2)/(13/78). Let w = a - u. What is the smallest common multiple of 24 and w?
24
Let i = 675/17 + -14551/408. Let s = 23744 - 237517/10. What is the common denominator of i and s?
120
Let z = 596378401/15660 + 5809/3132. Let u = 38089 - z. What is the common denominator of u and 40/9?
90
Suppose 4*z - 3*u + 325 = -890, -1527 = 5*z - u. What is the common denominator of z/(-189)*(-15)/32 and 163/126?
1008
Let c = -2885 + 147140/51. What is the common denominator of -53/198 and c?
3366
Let n = 222/281 - 24245/8992. Calculate the common denominator of n and 107/3936.
3936
Let p(k) = 5*k + 140. Suppose 5*r = q + 10, -25*q + 14 = -22*q - 4*r. What is the lowest common multiple of q and p(-18)?
50
Calculate the common denominator of 143/3228 and ((-1035)/649635)/((-60)/1414).
16140
Find the common denominator of 83/222 and (126/(-20))/1 + -22 + 25.
1110
Let d = 426 + -457. Let r(z) = -z**3 - 29*z**2 + 63*z + 53. Calculate the lowest common multiple of r(d) and 8.
88
Suppose u + 4*u = 20. Let g(b) = b**2 + 5*b - 3. Let k be g(-6). What is the smallest common multiple of u and (5*1 - (-1 + k)) + -2?
4
Suppose -5*g = 14 - 9. Let x be (100 - (-16)/(-4)) + g. Calculate the common denominator of (-6)/((-600)/x) - 2 and 9/22.
220
Suppose 0 = 3*q + 3*y - 9, 40*y - 25 = -5*q + 37*y. Calculate the lowest common multiple of q and 1236.
2472
What is the lowest common multiple of (4/(8/(-4)))/(2/(-7)) and 7/(78/(-20) + 4)?
70
Suppose -3*h + 1 + 5 = 0. Suppose 120 = h*f - 6*f. Let p = f + 51. Calculate the least common multiple of 9 and p.
63
Find the common denominator of -67/6 and (-33*(-9)/37746)/((-2)/(-30)).
1398
Let u = -21674453/240 + 90310. Find the common denominator of u and (6 + 10)/4 + (-85)/14.
1680
Suppose -4*f - 599 = -3*g, 147*g - 149*g + 430 = 5*f. Calculate the lowest common multiple of g and 30.
1230
Let u = -485215/1872 + 3370/13. What is the common denominator of 79/720 and u?
720
Let o = 1828 - 1736. What is the smallest common multiple of o and 1?
92
Suppose -47*p + 36 = -41*p. What is the common denominator of (69/99)/(1*6/p) and 61/9?
99
Suppose -4*a = -16*a + 54 + 78. Calculate the smallest common multiple of a and 210.
2310
Suppose 0 = 8*h - 6 + 6. Suppose -3*n + 4*p + 14 + 51 = h, -2*p = 2*n - 34. Calculate the least common multiple of 2 and n.
38
Let w = 342 - 190. Suppose -w = -30*v + 11*v. Calculate the smallest common multiple of v and 20.
40
Let h be (6/9)/((-20)/13652421). Let u = h - -459033. Let k = -3956 + u. What is the common denominator of k and -77/4?
20
Let m(i) = i**2 - 12*i + 3. Let z be m(-3). Find the common denominator of 10/6*z*(-1)/(-98) and -75/28.
196
Suppose -10289 = -28*p + 7183. Calculate the common denominator of -13/18 and ((-440)/p)/5 + (-4)/6.
234
Let w = -4/11675 + 380653/140100. What is the common denominator of -9/248 and w?
3720
Let t(g) = 4527*g**2 + 3*g + 11. Let z be t(-4). Suppose z - 21941 = 5*y. Let l = 121097/12 - y. Calculate the common denominator of l and 73/8.
24
Let w = 12745 - 3466701/272. Find the common denominator of w and -19/272.
272
Let d(a) = -368*a + 3452. Calculate the smallest common multiple of d(-5) and 315.
26460
Let q = 86/759 + 97963/53130. Calculate the common denominator of q and -89/182.
910
Suppose -j - 8 = 79. Suppose -2*m + 47 - 262 = 3*h, -h + 5*m = 66. Let p = h - j. Calculate the least common multiple of p and 8.
16
Suppose 7*r = 6*r + 3. Let z be 3 - 2*r/(-6). Calculate the common denominator of 2/z*(-8)/(48/98) and -40/21.
42
Suppose 42*z - 38*z + k = 16, -5*z = 2*k - 17. Calculate the lowest common multiple of z and 1753.
8765
Suppose -3*g = 18*g + 2583. Let r = 131 + g. Suppose 2*y - 57 = -19. Calculate the least common multiple of r and y.
152
Let u = 5404259/66 - 81881. What is the common denominator of u and 53/33?
66
Let a = 14315 - 14010. Calculate the smallest common multiple of a and 190.
11590
Suppose 0 = -7*d + 49, 159*b - 4449 = 156*b - 3*d. Calculate the least common multiple of b and 4.
1476
Let l = 157 - -34. Let y = l - 357. Calculate the common denominator of y/(-6)*(-18)/(-408) and 27/22.
748
Let m(a) = -77*a**2 + 6*a + 11. Let c be m(-3). Let i = -2083/3 - c. Calculate the common denominator of i and -113/54.
54
Suppose 15*g - 19369 = -15319. What is the lowest common multiple of g and 90?
270
Let a = 19090 - 16234. Calculate the lowest common multiple of a and 120.
14280
Suppose -43*c + 225 = -40*c. Calculate the lowest common multiple of ((-12)/(-5))/(-7 + 531/c) and 51.
510
Suppose 0 = 77*d - 90*d - 26. Calculate the common denominator of -17/2 and d/52*-4 - (-15180)/(-50336).
88
What is the common denominator of (4/(-198) + 0)/(672/(-29736)) and -43/1496?
4488
Let p = -352/47 - -70468/9635. Calculate the common denominator of p and -23/2460.
2460
Suppose 19 = 4*y - 1. Suppose 3*h - y*f = -0*h + 13, -3*h = -f - 29. Let p(u) = -7*u + 11. What is the lowest common multiple of h and p(0)?
11
Let o(s) = -29*s**3 + 6*s**2 + 4*s + 15. Let v be o(-4). Let w = v + -7841/4. Calculate the common denominator of w and 26/(-65) + 202/(-120).
12
Suppose 2*j - 3 = 9. Let l be (-3)/((-4 - -5)*-3)*3. What is the common denominator of 0 and j/(0 - l)*262/24?
6
Let g = -15326215/1199 + 25565/2. What is the common denominator of 27/218 and g?
2398
Let y be (-4)/(-9) + (-34672)/73152. Let z = y + 26835/5588. Calculate the common denominator of z and (-1)/((36/(-137))/3).
132
Find the common denominator of ((-266)/15)/((-12)/15) and (24 - 15) + (-186)/28.
42
Suppose 6*s - 81 = s + 4*r, 44 = 4*s + 2*r. Suppose 0 = 4*c + 5 - s. Calculate the common denominator of 236/(-72) - (c + (-21)/12) and 5/28.
252
Let z be (-171*37/16)/((-153)/12). Let l = z + 610019/612. Let b = l - 92827/90. Find the common denominator of b and 43/5.
30
Let a(m) be the second derivative of m**4/12 + m**3/2 - m**2 + 2*m. What is the lowest common multiple of a(-6) and (3 - 4)/(15/(-1680)*7)?
16
Let h = 32 + 6. Suppose 4*t + 0*t - 16 = 0. What is the least common multiple of 6 + -10 + h + 0 and t?
68
What is the common denominator of (5/(-2632))/((-19)/((-1368)/4)) and -71/752?
5264
Let y(a) be the first derivative of a**3/3 - 20*a + 73. What is the lowest common multiple of y(6) and 14?
112
Let c = 10/657 - -21203/2628. Suppose -35 = -4*m - 11. What is the common denominator of ((-1)/m)/(4/276) and c?
12
Let n(k) = 131*k + 99. Let h(j) = 198*j + 149. Let x(p) = -5*h(p) + 7*n(p). What is the lowest common multiple of 5 and x(-4)?
240
Let g(i) = 3*i + 4. Let v(h) = 2*h**2 - 6*h + 9. Let z = -40 - -43. What is the least common multiple of v(z) and g(0)?
36
What is the smallest common multiple of 816 and 96/(-20)*4/((-32)/40)?
816
Let f = -267 + 282. Calculate the lowest common multiple of 20/f*(-105)/(-14) and 3.
30
Suppose 150 = -5*j - 20*j. Let q(f) = -f**3 - 2*f**2 + 2*f + 11. What is the smallest common multiple of 52 and q(j)?
572
Let m = 72943/16 + -4562. Let v be 1794/36 + -4 - 8. Let b = v - 566/15. What is the common denominator of m and b?
80
Suppose -26*c + 25*c - 14*c = -720. Calculate the least common multiple of c and 16.
48
Let w = -157559/495 + 1591/5. Let g = -4241/21 - -1443/7. Calculate the common denominator of g and w.
693
Let d be 1664/11 - (-15)/(-55). Calculate the common denominator of (-13)/(-104) + d/(-728) and 57/22.
2002
Let o(u) = 2684*u - 8020. Calculate the lowest common multiple of 4530 and o(3).
72480
Suppose q - 4*w = -22, -2*q + 5*w + 193 = -6*q. What is the least common multiple of (-1 + 3 + (-36)/12)*q and 8?
168
Suppose 0 = r - 9*h + 4*h - 3475, -5*r + 4*h + 17375 = 0. Suppose -r = -16*f - 19. What is the lowest common multiple of f and 18?
216
Suppose 0 = 241*q - 213*q - 189 - 35. Suppose 3*o + 8 = 7*o. Suppose 4*c - o*u = 18, 3*c + u = -u + 10. Calculate the least common multiple of q and c.
8
Let o = 1699 + -42466/