est common multiple of 6 - (-4)/(-2) - w and (1 + 3/(-4))*4?
6
Suppose 4*y - 15 = w - 0*w, -5*y - 60 = 4*w. Let g = 17 + w. Let l = 36 + -20. Calculate the smallest common multiple of l and g.
16
Let d = -17 - -2. What is the smallest common multiple of 11 and d/(5/10*(2 + -5))?
110
Let z = -47 - -67. Suppose -3*t - z = -4*t + 3*g, 0 = -5*g. Calculate the smallest common multiple of 18 and t.
180
Suppose 4*v + 4 = 5*n - n, -3*n = -v - 3. Suppose -3*g + 14 - 2 = v. Calculate the least common multiple of g and 20.
20
Let z(i) = 3*i + 9. Let q be z(-7). Let o(b) = -17*b - 1. Calculate the least common multiple of 6/(-18)*q/1 and o(-1).
16
Let h(r) = 2 - 2 + 6 - 9 - r. What is the lowest common multiple of 2 and h(-4)?
2
Let m be (-5)/(175/(-3346)) + (-6)/10. Suppose 2*z = -3*c + 44, c - 6*c = -z - m. Calculate the least common multiple of c and 11.
198
Let r = 2 + 3. Let c = -18 - -23. Suppose 62 = c*u + 7. What is the smallest common multiple of u and r?
55
Let l = 515929 + -115052407/223. Let o = 14669/3568 - l. What is the common denominator of o and -1/14?
112
Suppose -p - 9 = -2*k, -3*k - p + 9 = k. Suppose 146 = k*q + 14. Calculate the smallest common multiple of 20 and q.
220
Let q = 8 - 3. Suppose -2*i = -23*g + 26*g + 6, -i + 11 = -2*g. Calculate the least common multiple of i and q.
15
Let u = 24 + -42. Let b = u + 30. What is the least common multiple of 7 and b?
84
Let p be 15768/2277 + -3 + -1. Let i = -15/23 + p. Calculate the common denominator of i and 63/4.
44
Let a(p) = -2*p - 35. Calculate the common denominator of (6/540*6)/(4/(-726)) and a(0).
10
Let o = -7/106 - -279/212. Find the common denominator of (-148)/24*6/(-8) and o.
8
Let u = 24 + 18. Suppose -3*n + 6*n = u. Calculate the least common multiple of 32 and n.
224
Let u = -4 - -7. Suppose -2*c - 3*p = -14, -4*p + 9 = 5*c - u*p. Suppose c = f, -13 = -3*o + 2*f - 0*f. Calculate the lowest common multiple of 11 and o.
55
Let d = -432167/27 - -16008. Calculate the common denominator of 49/447 and d.
4023
Let p = -801/8 - -207/2. What is the common denominator of p and 1*190/(-32)*1?
16
Let d be ((-7468)/(-8))/(-2 + (-6)/(-4)). Let k = d + 50383/27. Calculate the common denominator of k and -43/30.
270
Let q(j) = 6*j**2 - j - 2. Suppose z + 4*i = 0, z - 5*i = -3*i + 18. Calculate the lowest common multiple of z and q(-2).
24
Let b(v) = -v + 18. Let m be b(6). Suppose -4*z = -0*z - m. Suppose 1 = 2*r - z. What is the lowest common multiple of r and 7?
14
Calculate the common denominator of -21/148 and ((-567)/8)/9 + -2.
296
Suppose -4*u - 2*m = -26, 2*u - 6 - 9 = m. Calculate the common denominator of 1/2 + 135/(-42) and (-2)/u*3626/(-168).
42
Calculate the common denominator of -7/114 and (525/(-627))/(-5) + (5 - 5).
1254
Let i = 548 - 494. Calculate the least common multiple of 18 and i.
54
Suppose -2*i = -5*h - 175, -5*i + 9*i = 3*h + 357. Suppose 0 = 8*b - 54 - i. What is the least common multiple of b and 30?
90
Suppose 0*n = n + 3*b - 27, -2*n + 63 = 3*b. What is the lowest common multiple of (-8)/n + (-38)/(-9) and 22?
44
Suppose 100 - 20 = 10*h. Let y = 9 - 5. Suppose y*r - 3 - 4 = 5*q, -4*q + 19 = 5*r. Calculate the smallest common multiple of r and h.
24
Suppose 16*z - 1804 = -6*z. What is the lowest common multiple of 2 and z?
82
Let f = -8 - 1. Let j be (-6)/27 + 37762/f. Let a = j - -33519/8. Calculate the common denominator of -27/7 and a.
56
Let k = 505917 - 3535738/7. Suppose -2*n + 5*n - 2442 = 0. Let j = k - n. Calculate the common denominator of 35/3 and j.
21
Let q(v) = 2*v**3 + 46*v**2 - 37*v - 189. Calculate the smallest common multiple of 4 and q(-23).
1324
Let g = 1501/4 + -244729/652. Find the common denominator of 87/14 and g.
2282
Calculate the common denominator of (-1)/((-24)/(-20))*196/(-20) and -57/88.
264
Suppose j + 3*o + 5 = 0, -5*j = 9*o - 14*o - 35. What is the smallest common multiple of j and 9?
36
Let l = -613/19380 + -2/255. What is the common denominator of -7/228 and l?
228
Let d(p) = 3*p - 13. Let s be (5 + (-4)/2)*3. Suppose -v + c = -3*v + 18, 5*c - s = -v. What is the smallest common multiple of d(v) and 14?
14
Let v(m) = -2*m + 9. Let z be v(0). Let y = z - 7. Suppose y*f = -18 + 28. Calculate the smallest common multiple of f and 3.
15
Let l = 6 + -1. Suppose l*m - 12 = -2. Suppose -q = -m*q + 11. What is the smallest common multiple of q and 1?
11
What is the smallest common multiple of ((-42)/24)/((-2)/8) and 1 - (-9 - (2 - 4))?
56
Suppose 2*l - 5*h = 7*l - 5, h = 4*l - 29. Calculate the smallest common multiple of l and 10/55 + (-62)/(-22).
6
Let a(b) = b**3 - 30*b**2 - 27*b - 115. Suppose -2 + 122 = 5*z. What is the least common multiple of a(31) and z?
72
Let p be (-20)/(-152)*(-138)/(-110). Let j = -15/19 - p. What is the common denominator of (-5)/(-22) - (-6 - -6) and j?
22
Suppose 4*r + 61 = -5*x, -5*x = 8 + 17. What is the common denominator of r/36 - 66/(-40) and (-2)/(20/79) + 3?
10
Let n = -973 + 1021. What is the smallest common multiple of n and 3?
48
Calculate the common denominator of 34/9 and -3*(4/(-3) - (-6790)/5010).
1503
Let o = 8 + -46. Let u = 50 + o. Calculate the least common multiple of 144 and u.
144
Let l = -2/877 - -20183/5262. Let x = -530/63 - -19/14. Find the common denominator of l and x.
18
Let c(i) = -2*i + 38. Let o(x) = 3*x**3 - 2*x**2 - 3*x + 6. Let r be o(2). What is the smallest common multiple of 8 and c(r)?
24
Let j = -186 + 210. Calculate the lowest common multiple of 40 and j.
120
Let s = -56 - -58. Calculate the least common multiple of s/(-5) + ((-3384)/(-15))/4 and 16.
112
Suppose -4*n = 4*u - 8, 4*u - 1 = -2*n + 7. Suppose n*a + 15 = 3*a. Let j(s) = 11*s**2 + s - 1. Calculate the lowest common multiple of j(1) and a.
55
Let j be 7/49 + 942/21. Let n = j - -127. What is the common denominator of ((-1)/(-4))/((-58)/n) and 13/18?
522
Let t(s) = 2*s**2 + 25*s + 26. Let i(k) = -3*k**3 + 4*k**2 - k - 2. Let z be i(2). What is the least common multiple of t(z) and 14?
14
Let l(u) = 2*u - 16. Suppose 5*s - 23 = 27. Calculate the lowest common multiple of s and l(15).
70
Suppose 13*h + 63 = 16*h. Calculate the lowest common multiple of h and 15.
105
Suppose -4*t + 74 = 3*r, -3*r + 11 = -2*t - 33. What is the lowest common multiple of r and 2 + ((-2)/(-2) - -167)?
1530
Suppose 32*t = 35*t + 279. Let s = 113 + t. What is the least common multiple of s and 14?
140
Let j(z) = z**2 - 6*z - 21. Let g be j(12). Let a = g - 29. What is the least common multiple of 2 and a?
22
Let l be (-42)/(-9)*(-6)/(-4). Suppose 9*n = l*n + 28. What is the lowest common multiple of n and (2 - 10)*(-1)/2?
28
Let d = 30105 - 1445107/48. What is the common denominator of d and 133/12?
48
Let q = 10120505763104837/70686 - 143175533526. Let l = -2/3213 + q. Calculate the common denominator of (-287)/36 + 1/4 and l.
198
Let d = 707 + -18281/26. Let g = -24337/6 + 4065. What is the common denominator of d and g?
78
Suppose 3*l + 23 = -2*l + y, -4*l + 3*y = 25. Let u(m) = -6*m + 9. Calculate the lowest common multiple of u(l) and 3.
33
Suppose -130*z + 134*z = 2*s - 2628, 2*z = 0. Calculate the least common multiple of 16 and s.
10512
Let z be (20/5 - 2) + 50. Let m be (13/z)/(1/12). Let l(w) = -w**3 + 4*w**2 - 4. Calculate the least common multiple of 4 and l(m).
20
Let a(l) = l**3 - 3*l**2 - 7*l + 1. Let y be a(5). Let t = -9 + y. Calculate the least common multiple of (8 - (4 - 7)) + -2 and t.
63
Suppose -f + 33 = 5*r + 2*f, -2*f = 8. Let p = -43 - -62. Calculate the smallest common multiple of r and p.
171
Let t(z) = -2*z + 22. Let q be ((-4)/(-6))/(6/63). What is the lowest common multiple of t(q) and 7?
56
Let v = -1050 + 1149. What is the smallest common multiple of 121 and v?
1089
Suppose -3*y = y - 2*a - 52, 2*y - 20 = -2*a. Suppose -2*o + 23 = -2*l - 43, -3*o + 81 = 3*l. What is the least common multiple of o and y?
60
Let z be 0 - 1/(-2)*2. Let h(g) = -11*g**2 + 1. Let t be h(z). Let l = 16 + t. Calculate the lowest common multiple of l and 8.
24
Suppose 5*h - 65 = 10. Calculate the smallest common multiple of h and 44 - ((0 - 3) + 2 + 3).
210
Suppose 94 = 3*t - o, 3*t - 3 = -2*o + 79. Suppose -3*r + 2*k + 57 = -3*k, 3*r = -4*k + t. What is the lowest common multiple of r and 22?
154
Suppose 38*k - 749 