
84
Let j be (-1)/9 - (-2600)/72. Suppose -2*m + j = m. Let w = 1 + 2. What is the least common multiple of w and m?
12
Let n = 183 + -108. Let b = 81 - n. Calculate the lowest common multiple of b and (-1)/(-4) - (-261)/12.
66
Let w(r) = r**2 + r - 5. Let a be w(0). Calculate the smallest common multiple of -18*(66/(-9) - a) - 0 and 35.
210
Let a = 1959/5 + -393. Let l = 2/62949 - 25431446/1573725. Let x = 159/25 + l. Calculate the common denominator of x and a.
5
Let w = -18170 - -2930. Let t = -335205/22 - w. Calculate the common denominator of t and -85/78.
858
Calculate the common denominator of ((-27)/2430)/(-4*(-20)/354) and 167/420.
8400
Let c = 7876 - 6436. Calculate the smallest common multiple of c and 7.
10080
Let x(r) = -20*r + 19. Let u be x(-3). Let y = u + -70. Calculate the lowest common multiple of y and 4.
36
Suppose -23*m + 14 - 244 = 0. Let s(q) = -q**2 - 8*q + 22. Calculate the least common multiple of s(m) and 6.
6
Suppose -165*g + 245848 + 75256 = -118*g. What is the smallest common multiple of 22 and g?
75152
Suppose -4 = -5*y + 4*y. Suppose -3*j + 5*a - 1870 = -7*j, -4*j + 1852 = -4*a. Let s = j - 461. Calculate the least common multiple of s and y.
4
Let z = -23969 - -1558028/65. What is the common denominator of 5 - (-8)/(-60)*-18 and z?
65
Let p = -798103/1095920 - -1/10640. Let y = 4936/1545 + p. What is the common denominator of -5/24 and y?
120
Let o(l) = 123*l + 1851. What is the lowest common multiple of o(-15) and 2370?
2370
Let l = 4141631 - 231948875/56. Let t = 2565/8 + l. Calculate the common denominator of t and -49/60.
420
Let m(h) = 2*h**3 - 9*h**2 - 44*h + 184. Suppose 193*t - 195*t + 70 = 0. What is the smallest common multiple of m(6) and t?
140
Let w = 2993/21626 + -2/983. Let b be (78 - 72)*(0 - (-1)/2). Calculate the common denominator of b + 510/(-80) - 4 and w.
88
Let l(v) = -v**3 - v + 3. Let f be l(0). Let z(w) = -57*w - 6. Let a be z(f). What is the common denominator of 53/10 and 2/6 + a/99 - -3?
110
Calculate the least common multiple of ((-407)/(-143) - 8/(-52) - 8) + 6 and 1876.
1876
Find the common denominator of -45/8 and 223309/2918960 + (-2)/30.
16368
Calculate the least common multiple of 3047 - (-8)/(-3)*(15/2)/(-5) and 3390.
30510
Suppose -2*c + 0*a = 2*a - 32, 3*c - 5*a - 32 = 0. Suppose -8*u - 13374 = -c*u. Let j = -33409/15 + u. What is the common denominator of 3/7 and j?
105
Let j be (-14)/(-35) - (-2126453)/1080 - -4. Let r = -15775/8 + j. What is the common denominator of -35/81 and r?
162
Let a be 2*((-119)/28)/(2/(-8)). Let h = 21789/4984 + 2/623. Calculate the common denominator of h and ((-2)/((-20)/(-45)))/((-114)/a).
152
Let r be (-35137)/(-42) - (-6)/(-15). Let a = 240770/3 + -79420. Let d = a - r. Find the common denominator of -83/6 and d.
210
Let x = 10 + -14. Let p = -193171/1243350 + 8/7675. Find the common denominator of p and (189/(-35))/(x/(-30)).
162
Let m = 198 + -36. Suppose 5*g = 14*g - m. Calculate the least common multiple of g and 33.
198
Let k(m) = -22*m. Let u = 70 + -82. Let o be k(u). Find the common denominator of (-3)/(-1)*o/32 and 71/8.
8
Let o = -3/13228 - -314183/79368. Let x = 1680/71 - 267924/11431. Let t = x + 7093/6440. Find the common denominator of t and o.
120
Suppose -3*f - 18 = 9. Find the common denominator of f/(-540)*((-97)/(-2) - 1) and -7/36.
72
Let t = 18502/41 + -14150422/31365. What is the common denominator of 71/180 and t?
3060
Suppose -6*i + 4 = -8*i + 2*y, 2*y = -3*i - 16. Find the common denominator of (3 - 165/27)*(i + 3) and 73/3.
9
Let r be (2 + 1)/((-6)/(-16)). Suppose 4*f + 5*o - 23 = 0, -8*o + 9*o = -f + 5. What is the common denominator of 25/8 and (-6)/r*(264/(-522) + f)?
232
Let r = 3137 - 22014/7. What is the common denominator of r and ((-226)/(-28) - 1) + (99 - 102)?
14
Let g be -274178*3/(-112680) + (-4)/(-4). Let b = -1/3756 - g. Find the common denominator of 8/(-14) + (-19461)/2730 and b.
10
Let r(o) = 21*o**2 - 63*o + 21. Calculate the least common multiple of r(9) and 420.
4620
Let z = 37313 - 1119247/30. Find the common denominator of z and -77/60.
60
Let a = -1276 - -1320. Suppose -m + 4*m = -6, -305 = -3*g + 4*m. Calculate the smallest common multiple of a and g.
396
Let d be -156*(-6)/9 - (-1 + 1). What is the common denominator of 61/4 and (-781)/(-378) - (-4 + d/28)?
108
Let r = -14194 - 2296. Let x = r + 263941/16. Calculate the common denominator of x and 0/34 + (-178)/8.
16
Let m(q) = 67*q**2 + 40*q + 3. What is the least common multiple of 21 and m(-7)?
21042
Let w(m) = -m**3 + 7*m**2 - 10*m + 4. Let k be w(2). Suppose -2*a - 8 - 52 = -3*o, -2*o = -k*a - 48. What is the smallest common multiple of 66 and o?
198
Suppose 17*l - 6*l = -462. Let k(a) = -a**2 + a + 4. Let s be k(5). What is the common denominator of (s/l)/((-42)/(-49)) and -6/7?
63
Calculate the common denominator of ((-1)/46)/((-3)/418) - (-644)/(-161) and 73/105.
2415
Let p be ((-3)/(270/343258))/(18/165). Let c = p - -34959. Let v = c - 17/54. Find the common denominator of 38/5 and v.
45
Let f(l) = -4*l**2 + 25*l + 5. Let r be f(4). Suppose -r*g = -36*g - 70. Calculate the common denominator of 41/20 and ((-2)/g)/(6/847).
60
Suppose 5*z = 3*r + 104, -5*z + 2*r - 4*r = -114. Let d(s) = -16*s**3 - 512*s**2 + 4*s + 137. Calculate the smallest common multiple of z and d(-32).
198
Calculate the common denominator of (-9 - 6) + (-43355)/(-2873) and 46/21.
4641
Let m(w) = -w**2 - w. Let h(z) = -7*z**2 - 7. Let x(g) = h(g) - 6*m(g). Let j be x(7). Find the common denominator of ((-2)/11)/(j/(-105)) and -83/6.
66
Let m = -1241048 - -6086099437/4904. What is the common denominator of m and 87/14?
34328
Let r be (-349116)/1974*7*-1. Let v be 2/(-7) - 34399/(-28). Let m = v - r. Calculate the common denominator of m and 21/2.
4
Let y be 40/(8/(-28)*1). Let f = -136 - y. Calculate the smallest common multiple of f and 36.
36
Let v be (-1403)/26060 + (-123)/(-2460). Let r = 74/87471761 - -5363854313529/1823611273328. Let h = r + v. Find the common denominator of h and 57/4.
16
Suppose u + 14 = i, -2*i - 5*u + 13 - 20 = 0. Calculate the common denominator of 49/26 and (182/(-24))/1 - i/6.
156
Let i(r) = -r**2 - 65*r + 1317. Suppose 3*s + 2*s = 480. What is the least common multiple of i(16) and s?
672
Calculate the common denominator of -73/18 and ((-27)/(-5508))/(20/356).
3060
Let v = -30173/90 + 2009/6. Let a = 5 - 2. What is the common denominator of -3 - (a/(-36) + 4/(-6)) and v?
180
Let y be (-3)/4*(21/9 - 5). Suppose -3*z + 3*r + 57 = -0*r, z - 17 = y*r. What is the smallest common multiple of z and 3?
21
Let x(t) = 396*t - 2. Let d = -36 + 37. Let h be x(d). Let r = h + -3959/10. What is the common denominator of r and 71/22?
110
Let r be (-116760)/(-294) + 2/(-14). Let u = -357 + r. What is the least common multiple of 16 and u?
80
Let l be (7/3)/(2*(-4)/(-24)). What is the common denominator of (-3)/58*((-798)/(-27))/l and 19/7?
609
Let z be 2 + (16/(-4) - -5). Suppose z*x - 17 = 2*v, 4*x - x = -5*v - 32. Calculate the common denominator of -59/10 and -2 + -1 + (1330/25)/v.
10
Let n = 548069/20 + -27403. What is the common denominator of n and 75/15346?
153460
Suppose -514 = -12*r + 278. Calculate the smallest common multiple of r and 16.
528
Suppose -68*o + 117 = -65*o. Let n = o - 34. Suppose n*h - 104 = 166. What is the lowest common multiple of h and 12?
108
Let f(a) = -144*a + 441. Let l(i) = 11*i - 34. Let s(o) = 2*f(o) + 27*l(o). Let b = 155 - 143. Calculate the smallest common multiple of 4 and s(b).
72
Let q = 3899 + -3278. Calculate the lowest common multiple of 414 and q.
1242
Calculate the common denominator of 67/567 and (-2975)/(-510) - ((-10)/(-6) + -2 - 0).
1134
Let k = -76 - -32. Let h(t) = 7*t - 12. Let a be h(10). Let d = a + k. What is the lowest common multiple of d and 4?
28
Calculate the common denominator of -71/560 and ((-6)/448)/((-10125)/510 + 20).
560
Let v = 6 - 0. Let g be 211 - ((-9 - -6) + 5). Suppose -203*d - 408 = -g*d. Calculate the lowest common multiple of v and d.
204
Let b = -2 - -7. Suppose 30 = b*y - 25. Suppose -44*a + 52*a - 88 = 0. What is the lowest common multiple of y and a?
11
Calculate the common denominator of ((-43)/(-172))/((-55)/118) and 31/35.
770
Suppose -3*p = 3*j - 438, 4*p