
352
Suppose s = 2*g - 7, -60*g + 55*g + 4*s = -22. Suppose -13 = -2*x + 1. Calculate the lowest common multiple of g and x.
14
Let b be -2 + 3 - (-167875)/(-14). Suppose -46*o + 39230 = -512080. Let i = b + o. Find the common denominator of i and 77/12.
84
Suppose 0 = 36*o - 9*o - 378. What is the least common multiple of o and 28?
28
Let s(b) = -4*b - 36. Calculate the lowest common multiple of 62 and s(-14).
620
Let p be -24*1 + -4 + 1. Find the common denominator of ((-57)/76)/(p/182) and -95/8.
72
Let c = 897 + -894. What is the least common multiple of c and 420?
420
Let u = -53 - -49. What is the common denominator of 13/5 and ((-87)/9)/(u/(-24)*46)?
115
Let g(o) = -o + 24. Let l be (-4)/(-3)*(-180)/(-40). Calculate the lowest common multiple of g(l) and 16.
144
Let w be 2/8 - (-21)/4*-5. Let t = w + 30. Let k = -1445 - -8749/6. Calculate the common denominator of k and t.
6
Let d(g) = g**2 - 8*g + 8. Let a be d(6). Let l = 15730 + -125763/8. What is the common denominator of l and (10/a)/(8/5)?
16
Suppose -5*m + d = -10, -4*m + 2*m + 4*d = -22. Calculate the common denominator of 35/(-24) - m/(-3) and (6 + 116/(-28))/(4/12).
56
Suppose 23 = 5*w - 2. Suppose 168 - 153 = w*a. What is the lowest common multiple of 11 and a?
33
Suppose -5*o = -4*n + 1 + 1, 6 = 2*n. Let v = 2 + 12. Suppose 40 = -10*k + v*k. Calculate the lowest common multiple of o and k.
10
Let d be (3/5)/(-5 - (-120)/25). Calculate the least common multiple of 18 and (110/15)/((-1)/18*d).
396
Let s = -9068/13 - 150913/104. Suppose 5807 = 4*o - x - 2779, -2*x = -2*o + 4296. Let f = o + s. Find the common denominator of 69/8 and f.
8
Let w(s) = -3 - 7 - 14*s + 10. Let d be w(-2). Calculate the common denominator of 3/(-18)*642/d and -25/12.
84
Let l be 30/4*3/(30/8). Suppose -2*r + 78 = -3*j, 5*r = l*j - 11*j + 170. Calculate the least common multiple of r and 40.
360
Let j = 1405/4 - 337. Find the common denominator of j and -58/3.
12
Suppose 7*r - 2*t = 1886, -2*t = 39 - 43. Calculate the least common multiple of 10 and r.
270
What is the common denominator of 178/28 + 6*3/126 and 33/566?
566
Let p = 208 + -140. What is the common denominator of 91/8 and (51/p)/((-22)/136)?
88
Let q = 1/17107 + 1419867/239498. Find the common denominator of 63/22 and q.
154
Suppose -15*x = -77*x + 62. Calculate the smallest common multiple of x and 217.
217
Let y(j) = -j**3 + 22*j**2 - 36*j + 16. Let n be y(20). Suppose 0*u = -3*u + 36. Calculate the common denominator of 79/2 and ((-14)/36)/(u/n).
18
Let d = 326403485/706 - 462328. Calculate the common denominator of 21/10 and d.
3530
Let r = 20801/38 + 11022/19. Let k = -1151 + r. What is the common denominator of -1 + -1 + (-33)/14 and k?
14
Let x be (-52)/(-10) - (-2)/(-10). Suppose 30 = -5*a + 5, x*a = 2*i - 425. Find the common denominator of 17/6 and 10/i*154/(-2).
60
Let a = -26639/8 - -3320. Calculate the common denominator of (-22)/(-24) - ((-98)/28 - -3) and a.
24
What is the common denominator of -7/72 and (-1)/(-2) + ((-13064)/960)/(-23)?
360
Let l = -149 + 110. Find the common denominator of 77/6 and ((-8)/(-60)*36)/(l/(-20)).
78
What is the common denominator of (1/(-14))/(3/384*8) and -27/578?
4046
Suppose -25*o + 2*o + 594 = 10*o. What is the smallest common multiple of -2*33/(-2) + -1 and o?
288
Suppose 0 = 3*h - 8 + 2. Let l be 3/(-4) - (-143)/52. Suppose 2 = -l*m + 2*i + 26, -4*i = 8. What is the smallest common multiple of m and h?
10
Suppose 27*i - 278 = 289. Calculate the least common multiple of 84 and i.
84
Let p(k) = -4*k - 11. Let h(x) be the second derivative of -x**3/2 - 6*x**2 + x. Let r(q) = 6*h(q) - 5*p(q). Calculate the least common multiple of 8 and r(13).
72
Let p(l) = 2766*l**2 + 5*l + 1. Let b be p(-1). Let u = b - 16523/6. Let h = 198/29 + -1231/261. What is the common denominator of h and u?
18
Let s(v) = 3*v**2 - 3*v + 1. Let n(j) = 7*j - 39. Let d be n(6). Suppose -z + 15 = -d*y + 1, 5*z - 4*y = 37. What is the smallest common multiple of s(2) and z?
35
Calculate the common denominator of (52/(-30))/((-2772)/(-110)) and -4/231.
2079
Let p be (-5 + (-9)/3)*2/2452. Let o be (-1 - -3) + (-37385)/(-1226). Let j = p - o. Calculate the common denominator of j and -3/20.
20
Calculate the common denominator of 89/10 and (266/(-30))/((-1044)/290).
270
Let j = 11255/232 + -3/232. Let n = 2294 - 3859. Let m = -21821/14 - n. Calculate the common denominator of m and j.
14
Let a = 34225779 + -9754357328/285. Let k = a + 179/5. What is the common denominator of k and 107/10?
570
Let b(o) = 15*o**2 + o - 2. Let k be (27 - 26)/(0 - 1 - -2). Calculate the least common multiple of 4 and b(k).
28
Let o(b) = 2*b**2 - 40*b + 82. Calculate the smallest common multiple of 8*((-10)/(-8) + 0) and o(2).
10
Suppose -129 = -16*m - 33. What is the least common multiple of m and 19?
114
Let v = 36/7 - -45/28. Find the common denominator of -19/20 and v.
20
Suppose -40 = -0*k - 4*k. Suppose -5*v = -3*j + 28, -3*j + 16 = -0*v + v. Calculate the lowest common multiple of j and k.
30
Let i(x) = 14*x**2 - 7*x + 12. Let k be i(5). Let b = 3016/9 - k. Find the common denominator of -75/8 and b.
72
Suppose -a + n = -30, -5*a + 36 = -3*n - 118. Suppose a = -5*c + 82. What is the smallest common multiple of 6 and c?
30
Let v = -20/191 - -14423/4584. Find the common denominator of v and -125/168.
168
Suppose p = -2*u + 22, -22*u + 27*u + 2*p - 53 = 0. What is the smallest common multiple of 168 and u?
504
Let i = 245 + -3. What is the common denominator of 539/i + -1*1 and 33/6*(-1)/4?
88
Suppose l + 5 = 0, 2*n - 3*l - 3 = -4*l. Suppose -n*d = -5*f - 4 - 11, -2*d + 2*f = -10. Calculate the least common multiple of d and 11.
110
Let l = -527/45 + 46/9. Suppose -5*y = -9*x + 5*x + 330, 4*x = 3*y + 190. Let v = y + 221/3. Calculate the common denominator of l and v.
15
Calculate the lowest common multiple of 14 and 6*-4*(-150)/200.
126
Suppose 14 = 3*h + x, x - 5*x + 23 = h. Let f = 93 - 75. Suppose 0 = -4*z + f + 18. What is the lowest common multiple of h and z?
9
Let y = 99893/43186 + 10/1963. What is the common denominator of 75/134 and y?
1474
Let t = 2383 - 2360. What is the least common multiple of t and 10?
230
Let v(y) = -11*y - 1. Let k(m) = -2*m**2 - 81*m - 693. Calculate the lowest common multiple of v(-2) and k(-27).
252
Let n(a) = a - 1. Let c be n(3). What is the common denominator of 1*(c - (-254)/(-20)) and 73/3?
30
Let d(p) = 26*p**3 - p**2 + 1. Let s be d(1). Suppose 10*c = -3*c + s. Calculate the smallest common multiple of 9 and c.
18
Let t = 1051/4 - 945/4. Let h = -11791/6 - -1953. What is the common denominator of t and h?
6
Let o(r) = -21*r**3 + r**2 + 2*r + 1. Let z be o(-2). Suppose 2*x - 5*n + z = 0, -1 = 4*n + 3. Find the common denominator of ((-7)/273)/(1/x) and -30.
13
Let u = 8 - 6. Let p be 4/3*6/4 + 1. Let l = 9 + p. Calculate the lowest common multiple of u and l.
12
Suppose -4*t - 3*z = -769, 10 = -26*z + 24*z. Calculate the smallest common multiple of t and 196.
196
Let n = -11 - -21. Let s(g) = -g + 25. Let m be s(14). Suppose x - 9 = m. Calculate the least common multiple of x and n.
20
Let c(y) be the third derivative of 4*y**2 + 1/6*y**3 + 7/24*y**4 + 0 + 0*y. What is the smallest common multiple of 14 and c(3)?
154
Suppose -k = -3*o - 0*o - 12, 0 = 5*k - o - 46. Let q(d) = d**3 - 6*d**2 - 8*d + 8. Let c = 12 + -5. Calculate the smallest common multiple of k and q(c).
9
Let g(s) = s**3 + 21*s**2 + s + 29. Let n = -78 + 57. Calculate the smallest common multiple of 2 and g(n).
8
Let v = 248849 - 2502171/10. Suppose -6118 = 4*q - 638. Let i = q - v. What is the common denominator of i and 87/4?
20
Suppose 3*l + 19 = 115. What is the common denominator of ((-22)/11)/(l/(-37)) and -81/2?
16
Let r = -4484269/96 + 46710. Calculate the common denominator of r and -49/40.
480
Let f(n) = -n + 86. Calculate the smallest common multiple of 27 and f(5).
81
Let u(l) = -l**3 + 6*l**2 + 16*l - 44. Find the common denominator of u(8) and -61/1150.
1150
Suppose 568*m + 168 = 571*m. What is the smallest common multiple of 22 and m?
616
Calculate the common denominator of (-3 - -2) + 218/84 and 109/30.
210
Suppose 0 = -j - 0*g + 2*g + 12, 3*g = 3*j - 36. Calculate the smallest common multiple of j and 36.
36
Let c