and 2/39.
117
Let c(n) = 7*n - 29. What is the lowest common multiple of c(5) and 8?
24
Let t be 211/((-24)/21*(-5)/30). Let v = t + -6619/6. What is the common denominator of v and -10/9?
36
Suppose -6 = -3*w, -496 = -2*m + 2*w - 82. What is the lowest common multiple of m and 209?
209
Let x = -9 - -15. What is the least common multiple of x and 120?
120
Let x = 214 - 199. What is the smallest common multiple of 60 and x?
60
Let m = 61843/4 + -2349941/152. Find the common denominator of -7/16 and m.
304
Find the common denominator of -4/9 and (3/9)/((-5)/(-975)*-422).
3798
Calculate the least common multiple of 38 and 1/(1 + 2)*(-60 - -66).
38
Calculate the common denominator of 62/411 and 3552/64*(-4)/81.
3699
Let j(m) = 6*m**2 + 4*m - 24. Let f be j(-4). What is the common denominator of 43/5*2/4 and 7/f + (-609)/120?
20
Let m = -18/1381 - 97781/20715. Calculate the common denominator of m and 1 - 2 - (-2)/(-27).
135
Let b be (1460/6 + -4)/((-40)/(-324)). Let c = 173749/90 - b. Calculate the common denominator of c and 77/12.
36
Let x(y) = -y**3 + 3*y**2 + y - 1. Let s be x(-1). Suppose -s*d = -6*d + 36. What is the smallest common multiple of d and 4?
36
Let a be 0 + 0 - (313 - 6). Let y = a - -664. Let m = y + -1749/5. What is the common denominator of m and 6?
5
Calculate the common denominator of -43/38 and (1/(-6))/((-50)/(-1545) + 0).
380
Let p(y) = -y**2 - 5*y - 16. Let h be p(0). Let m = 21 + h. Calculate the least common multiple of 11 and m.
55
Let t = 9/13 - -501/65. Find the common denominator of t and 20/583.
2915
Let j = -6215/63 + 745/7. Let h = -5860663057151/2994 + 1957469315. Let b = h + 66/499. What is the common denominator of b and j?
18
Let b = 1/8133 + -756385/130128. Find the common denominator of b and 4*(2 + (-123)/32).
16
What is the common denominator of (16 - (-59244)/(-3696))*(-100)/6 and 127/154?
154
Suppose 5*b - 2605 = -w, 0 = 3*b - 5*b - 4*w + 1060. What is the least common multiple of 18 and b?
4680
Let t(m) = -5*m - 26. What is the lowest common multiple of 14 and t(-26)?
728
Let t = 10575 - 465211/44. Let r = 129 + -135. Find the common denominator of ((-13)/(-39) - 118/r)/(-11) and t.
44
Let x = 30 - 32. What is the smallest common multiple of 9 and (x + 5 + -10)*6/(-7)?
18
Suppose -4*d - 4*c = -4, -3*d + 2*c + 22 = -6. Let m = 0 + 2. Suppose -3 = y - m*y. What is the lowest common multiple of y and d?
6
Let b be 2/(-2) - 10335/8. Let i be 650/3*(2 + (-16 - -20)). Let x = b + i. Calculate the common denominator of x and 73/3.
24
Let f = -231355/664496 + -2/41531. Calculate the common denominator of 87/14 and f.
112
Let q(n) = n + 49. Suppose 6*y - 11*y - 73 = 2*o, 4*y = -3*o - 99. What is the lowest common multiple of 58 and q(o)?
580
Let l = 132803/19 - 43680065/6251. Let s = l - 27/14. Let x = s - 425/188. Find the common denominator of x and -103/6.
12
Let p be (-1)/(-2) - 173307/16. Suppose -3*h + 5*f + 32470 = 0, -2*f = 4*h + 6043 - 49345. Let l = p + h. Calculate the common denominator of l and 95/12.
48
Let p = -1275 + 1286. Calculate the smallest common multiple of 28 and p.
308
Suppose -5*a - 18 = -6*a. Suppose -3*x + a = -0. Let i = 17 - 11. What is the smallest common multiple of x and i?
6
Let q = -25619 - -15986207/624. Find the common denominator of -83/14 and q.
4368
Suppose -f = -5*d + 3, 0 = f + f + 4*d - 36. Suppose 2 = -2*c, y = c - 3*c - f. Let p = 17 + y. What is the smallest common multiple of 2 and p?
14
Let i(d) = 12*d**2 + 46*d + 6. What is the smallest common multiple of 70 and i(-4)?
70
Let s = -1 - -2. Suppose 28 = 19*b + 9*b. Calculate the least common multiple of s and b.
1
Suppose -120 + 105 = -3*g. Suppose g*b = 10, -3*k - 14*b = -12*b - 16. Calculate the least common multiple of k and 20.
20
Let k(y) = -3*y + 1. Let w be k(-4). Let v = -17 - -10. Let o = v + w. Calculate the least common multiple of 16 and o.
48
Let i = -4321/60 - -72. What is the common denominator of 61/10 and i?
60
Suppose 3 = -3*m + 3*h, m + 0*h - 5 = 4*h. Let n be (4/m)/((-3)/(-9)). Calculate the lowest common multiple of 8 and (-5)/(10/n)*10.
40
Calculate the common denominator of 61/168 and 82*(-7)/168 + -9.
168
Let r = -522 - -529. What is the lowest common multiple of r and 221?
1547
Let s be (0 + -11 + 1)*-2. Suppose -2*m - 11*q + s = -13*q, -2*m + 4*q = -26. What is the smallest common multiple of 8 and m?
56
Let w(q) = -4*q - 1. Let n = 76 - 34. Suppose -4*k = 3*k - n. Calculate the least common multiple of w(-1) and k.
6
Calculate the smallest common multiple of (1/(8/(-20)))/((-2)/36) and 45.
45
Calculate the least common multiple of (0 + (-8)/(-7))/((-36)/(-126)) and 44.
44
Let x = 12580451/125719000 + 18/129875. Find the common denominator of x and 95/2.
968
Suppose 4*q - 19*q = -195. What is the common denominator of ((-286)/(-142))/((7 - q)*-1) and 47/14?
2982
Let s = -9367169/120 - -78061. Find the common denominator of 29/72 and s.
360
Let s be 2/((-2)/(-24)*-2). Find the common denominator of (-25)/3*10/s and -97/30.
90
Let q be 15/20 - (-429)/(-12). Let w = -29 - q. What is the smallest common multiple of 4 and w?
12
Let o(r) = -r - 18. Let j be o(-15). Calculate the common denominator of -11/18 and (j/(-24))/((-9)/402).
36
Let h be (27/15)/(2/(-10)). Let x = h + 3. What is the common denominator of ((-1)/x)/((-4)/(-532)) and 17/8?
24
Let t = 283 + -528. Let s = 353 + t. What is the smallest common multiple of 9 and s?
108
Let s = -1 + -42. Let v = 71 + s. Calculate the least common multiple of v and 16.
112
Let w(a) = 3*a + 3. Suppose 0 = -9*t + 4*t + 10. Calculate the least common multiple of w(t) and 2.
18
What is the least common multiple of 1/((-25)/(-20)) + 1128/15 and 10?
380
Let p = 3641/138 - -8/69. Find the common denominator of -25/202 and p.
202
Suppose 6*x - 974 = 418. Suppose 0 = g + 4*f - 75 + 19, 0 = 5*g - 4*f - x. What is the smallest common multiple of g and 18?
144
Let h be (1/(-2))/(2/(-1996)). Suppose -4*u - h = 829. What is the common denominator of -1*u/(-64) + 2 and 83/10?
80
Suppose 2*v = -k + 5*v + 27, 0 = -4*k + 2*v + 88. Find the common denominator of (-6)/k - 610/168 and (-202)/(-224) + (-4)/(-14).
48
Suppose 4*w - 14 - 18 = -3*n, 4*w = -n + 24. Suppose -2*t = 5*a - 57, -7*t - 2*a + 90 = -2*t. Calculate the least common multiple of t and n.
16
Let n be -1 + (4 - 6*-1). Suppose k - 2*k + n = 0. Let q = k - -7. What is the lowest common multiple of q and 11?
176
Let m(b) = b**3 - 11*b**2 - 11*b - 8. Let f be m(12). Suppose 3*u - 2*x - 172 = 2*x, f*x - 8 = 0. Find the common denominator of -3*112/u - 0 and -51/5.
5
Let i be (-78)/(-2) - (1 - -3). Suppose -r = 4*r - i. What is the lowest common multiple of 1 - 2 - (-6)/2 and r?
14
Let y = -10 + 9. Let r = 0 + y. What is the common denominator of r/1 + 19/(-6) and -67/6?
6
Let n = -2489/5 + 507. Let x be -2 + ((-122448)/22)/3. Let f = 1856 + x. Calculate the common denominator of f and n.
55
Let i = 48271466 + -18053516117/374. Let o = -6/187 + i. Calculate the common denominator of -29/144 and o.
144
Calculate the least common multiple of ((-20)/(-3))/(48/72) and 360.
360
Let o be (-50)/(-8) - (-10)/(-40). Suppose 0 = -3*p - 12, -p + o = 4*k - 6. What is the lowest common multiple of 1 and k?
4
Let c(s) = s**2 - 8. What is the smallest common multiple of c(3) and 1 + 0 + -4 + 7?
4
Find the common denominator of (-5824)/(-137200) - 2/(-25) and 97/56.
392
Find the common denominator of 173/30 and 52/(-36)*48/848.
1590
Let d = 23677/20 + -4783/4. Find the common denominator of (39/90)/((-2)/(-5)) and d.
60
Suppose -10 = x + 3*p, -4*p + 0*p - 16 = 0. Suppose 0 = -z + 2, z = -2*b - x*z + 36. Calculate the least common multiple of b and 15.
15
Let s(t) = 3*t - 4. Let y be s(2). Let o(v) = 2*v**2 - 2*v - 2. Let q be o(y). Calculate the common denominator of -9/7 and 106/(-20)*(q - 0).
35
Let u = 3395/11 - 1233/4. Calculate the common denominator of 95/116 and u.
1276
Let p = -23 - -35. Calculate the least common multiple of p and -54*(-5)/50 - 36/(-60).
12
Let a = -73 + 136. Let r(s) = s**3 - 8*s**2 - s + 18. Calculate the lowest common multiple of (-1)/2 + a/14 and r(8).
20
Calculate the common denominator of 81/10 and (12/(-15))/((-5066)/85).
1490
Suppose 5*z + 12 = -3*u, -5*u + 4*z + 6 + 11 = 0. Calculate t