y + 192. Let w = -1 - 0. Let k = 23 + w. What is the least common multiple of k and y?
176
Suppose -5*r = -5*i - 40, 2*r = 6*r - 12. Calculate the smallest common multiple of 10 and (-3)/i - 74/(-10).
40
Find the common denominator of 169/90 and (32/(-120))/(6/(-80)).
90
Let y = 29017/17202 - 91/61. Find the common denominator of 83/30 and y.
1410
Let k = 2803 + -11129/4. Let o be 0 - 124164/44 - -1. Let r = -2817 - o. What is the common denominator of r and k?
44
Suppose -12 - 13 = -5*w. What is the least common multiple of w and (12/(-10))/((-4)/10)?
15
Suppose j + 12 = 5*j. What is the least common multiple of 36 and j?
36
Let f = -1833 - -1836. Let i(r) = -7*r**3 - r**2 + 1. What is the lowest common multiple of i(-1) and f?
21
What is the smallest common multiple of (-3564)/(-48) + 18/(-8) and 144?
144
Let s(t) = -6*t**2 + 7*t - 7. Find the common denominator of s(2) and -1/6.
6
Suppose -111*s = -104*s - 63. Calculate the smallest common multiple of 94 and s.
846
Let j = -14660 - -762295/52. Find the common denominator of j and ((-4)/(-81)*69/(-184))/(4/690).
468
Let b(l) = -l + 17. Suppose 3 + 9 = w. Calculate the smallest common multiple of b(w) and 11.
55
Suppose -3*u - 15 = -51. Let b = 11 + -3. Suppose b = p - 0*p. Calculate the lowest common multiple of u and p.
24
Let z = 652216276/369 - 1767516. Let l = z - 64/41. Find the common denominator of -51/11 and l.
99
Calculate the common denominator of -85/12 and (-141219)/23556 - (2 + (2 - 10)).
1812
Let n = 51 - 79. Let a = -24 - n. Let g = -3 + 15. What is the least common multiple of g and a?
12
Suppose -49 = -10*f + 5*f + 2*j, -2*f + 24 = -3*j. Calculate the smallest common multiple of f and 147.
441
Let s = -42 + 41. Calculate the common denominator of ((-6)/(-8))/s*250/(-90) and -65/8.
24
Let l(v) = -v**2 - 6*v + 6. Suppose 5*y + 11 + 21 = -2*g, 4*g = 4*y + 20. Let t be l(y). What is the least common multiple of 7/1 + t + -7 and 6?
6
Let g(l) = -37*l - 364. What is the smallest common multiple of 26 and g(-10)?
78
Find the common denominator of (44/(-6) + 2)*1065/1988 and 56/9.
63
Let l be 456/10*-3*30/(-27). Suppose 3*o + 4*m - l = 0, 0*o + 39 = o - m. What is the smallest common multiple of o and 4?
44
Let x = -263/35 - -13/10. Calculate the common denominator of x and (-954)/312 - (-3 - -1).
364
Let u = -1/654 - 6203/6540. Let b = -83 + 1171/14. Calculate the common denominator of b and u.
140
Suppose -20*j = -243 - 57. Calculate the lowest common multiple of j and 20.
60
Suppose -4*j + 24 = -4*f, 0*f = 4*j - 2*f - 20. Find the common denominator of j/(-8) - (-186)/45 and -131/36.
180
Let q = -658 - -403. Calculate the common denominator of 61/12 and 0 + q/(-78) + 0.
156
Let v = -877/6 + 2053/15. Let u = -4105/6 - -692. What is the common denominator of v and u?
30
Suppose 0 = -7*t + 77 - 49. Let v be 1/(-4) - (-26)/8. Suppose -2*n + 3*u + 40 = 0, -2*n - 2*u = v*u - 8. Calculate the least common multiple of t and n.
28
Let t be 1*-4*7478/4. Let a = t - -74841/10. Let n = 2844 + -28319/10. What is the common denominator of n and a?
10
Suppose 5*p = -4*q - 0*q + 36, -5*p + 41 = -q. Calculate the smallest common multiple of p and 8.
8
Let c(b) = b**2 - b - 6. Let u(g) = g + 9. Calculate the lowest common multiple of u(-3) and c(-6).
36
Let d = -54/7 - -29/21. Calculate the common denominator of d and 61/18.
18
Let c = 9715787/907 + -10712. Let i = c - 37214/8163. Find the common denominator of -17/56 and i.
504
What is the least common multiple of ((-585)/30)/(18/(-12)) and 23?
299
Let h(u) = 2*u - 8. Let l be h(6). Let r = l + -2. What is the smallest common multiple of 2 and r?
2
Let h = -7477/693 + 122/11. Calculate the common denominator of h and 22/9.
63
Let w = -1262 + 1414. What is the least common multiple of 26 and w?
1976
Let k = -6289/1815 + -218/121. Calculate the common denominator of -89/12 and k.
60
Let r = -82866061/1753 - -47271. Let f = r - 98174/5259. Calculate the common denominator of f and -40/3.
3
Let u = -33 + 33. Let n = u + 1. What is the smallest common multiple of n and 5?
5
Let g(i) = i**3 + 4*i**2 + i. Let s be g(-3). Suppose s*a = -2*a + 168. Calculate the least common multiple of a and 5.
105
Let g = 127 - 56. What is the common denominator of ((-8)/3)/(-8)*g/(-2) and -10/9?
18
Let b = 12927/8 + -1620. Suppose -3*s + 3*t = t + 76, -5*t + 106 = -4*s. Calculate the common denominator of s/(-60) - 241/(-60) and b.
24
Suppose -1 - 3 = -q. What is the lowest common multiple of 20 and (q/10)/(10/50)?
20
Let l = -15 + 15. Suppose l = -7*i + 81 + 73. What is the least common multiple of i and 4?
44
Suppose -3 = v + 1, 4*v = 4*k - 2040. What is the smallest common multiple of 12 and k?
3036
Let r(x) = x**3 + 3*x**2 + 3*x + 3. Let m = 28 + -30. What is the lowest common multiple of r(m) and 3?
3
What is the lowest common multiple of 2 and -19 + 998 + -6 + -1?
972
Let k(r) = r**2 + 7*r - 1. Let q be k(-8). Suppose -5*g + q = -3. Calculate the smallest common multiple of (9 + 1)*((-6)/4 - -2) and g.
10
Let d = -36 + 15. Let b = -13 - d. Let f = 8 - 4. Calculate the least common multiple of f and b.
8
Let s(n) = -2*n. Let x be s(-8). Let p = 4575 - 27335/6. What is the common denominator of 120 + -120 - 1/(x/134) and p?
24
Let i(x) = x - 4. Let z be i(6). Let t(h) = -2*h**3 - 4*h + 3. Let c be t(z). Let r = c + 22. What is the lowest common multiple of 31 and r?
31
Let w(u) = -111*u - 6. Let t be w(10). Let a = 178573/160 + t. What is the common denominator of a and -73/14?
1120
Suppose 26 = 5*o - 4. Let l be (8 - o)/(2/(-9)). Calculate the common denominator of -59/7 and 3*(21/l)/7.
7
Let h = -14422 + 288527/20. Calculate the common denominator of h and (-6)/8*(-822)/189.
420
Let v be (-1107)/330 - (-20)/5. Let i = -6/11 + v. Find the common denominator of i and 2 - ((-67)/2 - -1).
10
Let h = 167 - 159. Let j = 3 + -25. Find the common denominator of ((-106)/j)/((-48)/h) and -109/10.
330
Suppose -14*a + 264 = -184. Calculate the lowest common multiple of 24 and a.
96
Let d(j) = -44*j**3 - 6*j**2 - 2*j - 3. Let c be d(-4). Let v = c - 48947/18. What is the common denominator of 76/15 and v?
90
Calculate the common denominator of (-564)/(-20)*2/9 and -17/6.
30
Let g = -2/14879 + -1502767/89274. Calculate the common denominator of -43/105 and g.
210
Suppose -3*v - 4*h + 65 = 0, 3*v - 23*h + 18*h - 101 = 0. What is the smallest common multiple of v and 18?
54
Let q = -3331058/37271 - -4202/47. Let k = -63079/14274 + q. Find the common denominator of k and -59/28.
252
Let z = -651 + 669. Calculate the lowest common multiple of 12 and z.
36
Let h = -2/107 + -2558/535. Let b = -655/4 + 32103/196. Let x = -1409/294 - b. What is the common denominator of x and h?
30
Suppose -23*l = -60*l + 33522. What is the smallest common multiple of l and 8?
3624
Let j = -5133 - -40977/8. Let x be 599/88 - (8 + (-430)/55). Let d = j - x. Calculate the common denominator of -43/40 and d.
40
Let z be -6 + (2 - -1) + 299. Let a be (-10)/39*z/20. Let c = a - 1043/78. What is the common denominator of c and -19/3?
6
Find the common denominator of ((-171)/(-18))/((-231)/14) and 23/174.
1914
Let w = -747 - -424. Let l = w - -1849/6. Calculate the common denominator of -7 + -2 + (-147)/(-20) and l.
60
Let f be 10*(-1)/(-3) - (-2)/3. Calculate the least common multiple of 61/f - -1*5/(-20) and 9.
45
Suppose 8 = k - 2*u, -2*k - u - 3 = -3*k. Calculate the smallest common multiple of 21 + (-5 - k) + 4 and 10.
110
Let s be 2*(-1)/2*7. Let m = 3 - s. Calculate the smallest common multiple of 18 and m.
90
Let f = 1658 + -29927/18. Let c = -87/13 - 827/26. Calculate the common denominator of c and f.
18
What is the lowest common multiple of 270 and -4*(30/(-48))/(4/8)?
270
Let j = -11939/33 + 3964/11. What is the common denominator of j and -13/18?
198
Suppose -5*s - 34 = 120*p - 122*p, 0 = -4*p + 2*s + 84. Suppose -y + 0 - 1 = 0. Let a(i) = 2*i**2 - i - 1. Calculate the lowest common multiple of a(y) and p.
22
Find the common denominator of -51/115 and 386/(-579) - (-286)/240.
920
Let a(s) be the first derivative of -3*s**2/2 - 9*s + 2. What is the lowest common multiple of a(-7) and 30?
60
Let m be ((32/(-1))/(2/(-17)))/(-1). What is the lowest common multiple of 14 and (-4)/3 - -2 - m/51?
