
Let i = 103 + -13. What is the smallest common multiple of 90 and i?
90
Let o be (-303)/6 + (-6)/(-4). Let w = o - -61. Calculate the lowest common multiple of 46 and w.
276
Let u = 19 - 27. Calculate the common denominator of -4*1 + (-66)/u and (-34)/4*(-6)/(-21).
28
Let j be (-927)/1305 - (-1 + 9/15). Let i = j + 1235/522. What is the common denominator of 46/(-40) + 4/(-20) and i?
180
Let z(u) = u + 9. Let c be (1 - (3 - -1))/1. What is the lowest common multiple of 10 and z(c)?
30
Suppose 3*y - 5*x = 20 + 47, 0 = -3*x + 3. What is the least common multiple of 12 and y?
24
Suppose 2*p + 2*q - 26 = 0, -2*p + 14 = -5*q + 4*q. Let k = 5 + p. What is the lowest common multiple of k and 6?
42
Let g be 36/16 + 1/(-4). Suppose -2*d + 0*y + 118 = -g*y, 5*y = 15. Calculate the lowest common multiple of d and 12.
372
Let y = -30823/2868 + -2/717. Calculate the common denominator of y and (-60)/(-1176)*-58*56/48.
84
Let p(s) = -s**2 - 57*s + 354. Calculate the least common multiple of 55 and p(-62).
220
Let v = 19618987926581/1242551751210 + 84/59766799. Let s = v - 1248/77. What is the common denominator of s and 27/2?
270
Suppose a = -3*a + 12. Suppose 2*g + a = 5. Calculate the smallest common multiple of (-266)/(-42) - 4/3 and g.
5
Let j be 7*(3 + -5)*-1. Suppose -5*n + j = -h, 2*h - 24 = -4*n + 4. Suppose 4*d - 2 - h = 0. What is the lowest common multiple of d and 14?
14
Let s be (-1)/2 + 9/6. Let k(x) = 9*x - 1. Let b be k(s). Let r = b + -4. Calculate the least common multiple of r and 6.
12
Let n = -2395 + 690. Calculate the common denominator of -4 - (n/210 - -4) and 61/18.
126
What is the common denominator of (17/(-14))/(140/98) and -3/50?
100
Let o(s) = -24 - 18 + 12*s**2 - 18*s - 13*s**2. What is the least common multiple of 21 and o(-12)?
210
Let f = -49 - -47. What is the common denominator of (42/(-72))/(f/(-10)) and -19/3?
12
Let o(t) = -t**2 - 2*t**2 + t**2 - 15 + 3*t**2 + 2*t. Let w be o(-11). Calculate the common denominator of w/40 - (-2 - -1) and 99/16.
80
Suppose 5 = 2*z + 1. Suppose 5*a - z*a = -6. What is the common denominator of a/4 + 1 + 32 and -47/6?
6
Let u = 29 + -9. What is the smallest common multiple of 6 and ((-18)/(-8))/(5/u)?
18
Let i be ((-2536)/(-20))/((-36)/20). Let f = i + 6583/90. Calculate the common denominator of 21/38 and f.
190
Suppose a = 2*a - 16. Suppose a = 2*y - 4*y. What is the least common multiple of (y/6 + 1)*-6 and 2?
2
Suppose 4*x - 3*w = -28 - 45, 3*x - 2*w + 54 = 0. Calculate the common denominator of 86/x - (-1)/(-4) and 2 + 8 + -14 - -37.
8
Let m = 56503/14 + -4040. Let y(r) = -152*r - 4. Let z be y(-2). Calculate the common denominator of m and (24/z)/(4/(-535)).
70
Let z be (2/(-2))/(((-85519)/126)/(-19)). Let b = z + -44187/6430. Find the common denominator of b and -101/34.
170
Let z = -1 - 14. Find the common denominator of -31/2 and (-131)/(-30) - (-3)/z.
6
Suppose -3*g + 11 = -19. Suppose 9*b - 5*b - 48 = 0. What is the smallest common multiple of b and (-2 - (-32)/g)*5?
12
Suppose 5*k - 88 = x - 3*x, 2*k - 46 = -x. Let a = x + -52. What is the lowest common multiple of 73 and a?
146
Calculate the least common multiple of 22 and (7/(-21))/((-4)/24).
22
Let o = -4/415 + -16991/2490. What is the common denominator of 21/178 and o?
534
Suppose -8*a + 1 = -31. Calculate the lowest common multiple of 12/(-78) + (-576)/(-26) and a.
44
Let k(f) = -f**2 - 2*f + 6. Let a be k(-5). Let c(d) = d + 1. Let g(i) = 6*i + 6. Let n(w) = 4*c(w) - g(w). What is the smallest common multiple of n(a) and 12?
48
Suppose -x + 42 = 6*x. What is the common denominator of (x/(-8))/((144/(-134))/8) and 50/27?
108
Calculate the common denominator of (-12)/(-18)*(864/462)/(-4) and -59/77.
77
Let q = 5 + -2. What is the common denominator of q and -4 + 508/(-48)*-2?
6
Suppose -4*c + 6*c = 0. Suppose -4*m = 3*g - 40, -3*m + g + 2*g + 30 = c. What is the least common multiple of 2 and m?
10
Suppose 3*g = 4*g - 4. Suppose -2*y - 4 = 0, 40 = 3*s + y - 0*y. Let u = g + s. Calculate the smallest common multiple of 14 and u.
126
Let h be -6*(-7)/294*(-271159)/(-12). Let q = h + -3234. Find the common denominator of 57/4 and q.
12
Suppose 4*k - 72 = 2*k. Let b be (-27)/6*(-6 - -2). Find the common denominator of (27/144)/(b/(-344)) and k.
12
Let p be (-5)/((-15)/(-12)) + 6. Suppose -j + p = -19. Let f = 43 - j. Calculate the smallest common multiple of 10 and f.
110
Suppose -21*a = -9*a - 144. What is the smallest common multiple of 48 and a?
48
Let c(a) = -a**3 - 19*a**2 - 90*a + 18. What is the smallest common multiple of 12 and c(-6)?
180
Let b be 2 + 8/(-130) + -2. Let y = b + -2978/195. What is the common denominator of -3 + 2 + 4/((-24)/(-219)) and y?
6
Suppose u = -111 + 119. What is the lowest common multiple of 42 and u?
168
Suppose 31*b = 23*b + 32. Calculate the lowest common multiple of -2 + (-23)/(-3 + 2) and b.
84
Let z = 19477/200 - 12044/25. Let o = z - -385. What is the common denominator of o and 1*(424/(-18))/4?
72
Suppose k + 3*i + 647 = 3*k, 0 = 4*k + 5*i - 1327. Calculate the lowest common multiple of k and 18.
2952
Suppose -2*c + 42 = -5*z - 29, 4*z - 116 = -2*c. Calculate the lowest common multiple of 48 and c.
48
Let s = 19811/41 - 1268518182/2625271. Let k = -7235599/6146976 - s. Calculate the common denominator of -73/20 and k.
480
Let a = -661 + 13211/20. What is the common denominator of a and 77/102?
1020
Let z = 17 - 15. What is the common denominator of (-28)/352*-4 - z and -71/6?
66
Let d = 421 + -5937/14. Calculate the common denominator of d and 141/70.
70
Let q(j) = 2*j - 5. Let d be q(7). Let x = 25 - d. Suppose 2*w - 6 - x = 0. What is the least common multiple of w and 11?
11
Suppose 3*c - 7 = -s + 6, 5*c - 25 = -5*s. What is the least common multiple of 8 and c?
8
Let i = 6 + -4. Suppose -4*o - 2*v = -v - 22, -12 = -4*o + 4*v. Suppose 8 = o*c - 7. Calculate the smallest common multiple of c and i.
6
Let u = 588623/20 + -29425. Calculate the common denominator of u and 57/55.
220
Let j(w) = w**2 - 6*w - 22. Let b be j(9). What is the common denominator of -1 - ((-141)/(-9) + b) and 101/12?
12
Suppose 4*z - h - 6 - 17 = 0, -4 = -4*h. Suppose -8*w - 44 = -164. Calculate the least common multiple of z and w.
30
Suppose 0*j = 2*j + 24. Let r be 946/3 - (-4)/j. Find the common denominator of -101/18 and (-2)/2 + r/50.
90
Suppose 5*f - 4*l - 27 = 0, 5*l + 3 = -0*f - 4*f. Let v(r) = -115*r - 689. Calculate the smallest common multiple of f and v(-6).
3
Let h be -1 + (-3 - -2) + 4/2. Let i = -187/30 - 34/15. Calculate the common denominator of i and 0 - h - (-124)/(-42).
42
Let w(l) = -l**3 + 52*l**2 - 49*l - 72. What is the smallest common multiple of w(51) and 30?
30
Let y(q) = 2*q**2 - q - 1. Let p be y(2). Let g = p + -10. Let j(a) = a**2 + 4*a + 3. Calculate the least common multiple of 10 and j(g).
40
Let f be 240160/18 + 4/(-18). Let a be (3 - 84/32)/((-15)/(-533212)). Let n = a - f. Calculate the common denominator of -81/2 and n.
10
Let t = 13 - 11. Calculate the common denominator of -3 + 2*(t - (-102)/(-208)) and -43/2.
52
Let m(a) = -3*a + 69. Let k be m(20). What is the common denominator of -83/22 and (3/k)/(22/(-69))?
22
Let v = 26/15 - -1/10. What is the common denominator of v and 82/345?
690
Suppose -2*c + 87 - 25 = 0. Suppose c*z = 35*z - 40. Calculate the smallest common multiple of (0 - -11)/((-2)/(-4)) and z.
110
Calculate the common denominator of (89/(-24))/((-30)/(-40)) and -53/20.
180
Let z = -2684901285 + 169152734122/63. Let w = -62750 + z. Calculate the common denominator of w and 23/33.
693
Suppose 174 = -184*q + 190*q. Calculate the common denominator of 31/22 and q.
22
Let z(g) = g**3 + 11*g**2 + 20*g + 20. What is the smallest common multiple of 3 and z(-9)?
6
Suppose 0 = 4*z - 6*z. What is the lowest common multiple of (z - -3)/(6/44) and 1?
22
Let g be (-6)/1506*(6 - 0). Let w = g - -19841/502. Find the common denominator of w and 41/18.
18
What is the common denominator of -79/72 and 153/(-459) + (-206)/36?
72
Suppose 0 = -8*v + 18 + 54. Calculate the smallest common multiple of ((-68)/(-12))/((-1)/(-3)) and v.
153
Let s = 22021/8 + -2748. Find the common denominator of 75/574 and s.
2296
Let a(q) = q + 9. Let l be a(-4). Suppose 2*o + 3*s - 27 = -0