 Calculate the smallest common multiple of 3/(-6) + a/(-14) and 10.
10
Let h = 135 + -134. What is the common denominator of 28/(-18) + (h - (-35)/(-42)) and -1 + 0 + 81/20?
180
Let g = 326 - 319. Suppose 0 = -3*u - 2 + 26. Calculate the smallest common multiple of u and g.
56
Let f(o) = o**2 - 6*o - 5. Let c = 38 - 27. What is the least common multiple of f(8) and c?
11
Calculate the smallest common multiple of 7 and -9*7/84*(-16)/6.
14
Find the common denominator of 1045/756 - ((-24)/(-28))/2 and 29/36.
108
Calculate the common denominator of ((-38)/(-16))/((-15)/(-140)) and (-586)/80 - (-3 + 56/20).
24
Let u = -2205/11 + 40537/198. What is the common denominator of u and -77/18?
18
Let w be 1/(-5) - (-251)/5. Let s = w - 42. What is the least common multiple of s and 10?
40
Let z = 16 + 232. Let b = 686/3 - z. Find the common denominator of -39/5 and b.
15
Let p = 220 - 215. Let v(j) = -j**2 - 7*j - 5. What is the least common multiple of v(-5) and p?
5
Let q = -4523/10 - -462. What is the common denominator of q and ((-285)/(-63))/(6/(-7))?
90
Suppose 7 + 8 = 3*r. Suppose i - 5 = 0, -r*i + 28 = k - i. Let g(v) = -v**2 + 11*v - 12. Calculate the least common multiple of 16 and g(k).
48
Let f(n) = -n**3 - 5*n**2 + 6. Suppose 0 = -36*v + 6*v + 150. What is the least common multiple of f(-5) and v?
30
Let v = -59 - -89. What is the least common multiple of 120 and v?
120
Suppose -72 = -5*g + 48. Suppose 5*o = 5*z + o - 42, g = 2*z - 4*o. Let j(d) = 2*d**2 + 9*d + 6. What is the lowest common multiple of j(-4) and z?
6
Let n = -2291/2 - -1177. Let u = -5273 - -14903/3. Let z = u + 310. What is the common denominator of n and z?
6
Suppose 66*b = -3*l + 67*b + 80, -2*b + 29 = l. Calculate the lowest common multiple of 30 and l.
270
Calculate the common denominator of (35/1560)/7 + 18/(-27) and 59/160.
2080
Let h be ((-3)/(-48))/(10/72). Let m = h - 6/5. Find the common denominator of (51/(-60))/(3/42) and m.
20
Let f = -53 + 55. Let b = -3431/4 - -862. Calculate the common denominator of (-62)/(-12)*((-12)/10)/f and b.
20
Let s = 732 + -704. What is the least common multiple of 126 and s?
252
Suppose 2*w + 1804 = 2*k, 0*w + 2736 = 3*k + 3*w. Let q = k + -2672/3. What is the common denominator of -111/10 and q?
30
Let t(o) = -5*o + 319. Let x(y) = -2*y + 2. What is the lowest common multiple of t(21) and x(-3)?
856
What is the lowest common multiple of ((-17)/9)/(1/(-9)) and 8?
136
Find the common denominator of (2/10)/(1*(-2)/34) and -35/9.
45
Suppose 4*z - 4616 = -2*v, 2*v - 3463 = -3*z - 0*v. Let o = z - 4565/4. Find the common denominator of -17 and o.
4
Calculate the least common multiple of (-9)/(-6) - 23865/(-74) and 1.
324
Suppose -4*p + 3*p = 12. Find the common denominator of -131/6 and (-9)/p + 202/40.
30
Let z = 302 - 300. Let a(y) = -y**3 - y**2 - 3*y + 6. Calculate the smallest common multiple of a(-6) and z.
204
Let l(m) = m + 3. Let z be l(6). Let a = -4 + 10. Calculate the least common multiple of 4 and 6/z - (-68)/a.
12
Find the common denominator of -11/12 and 158/60 + -58 + 57.
60
Let u = -338 - -498. Calculate the common denominator of -107*4/u - -2 and 9/20.
40
Let g = -62 - -56. What is the smallest common multiple of (1 - -11)/(3/2) and (63/g - -3)/(9/(-12))?
40
Find the common denominator of -123/20 and (13/(-3510))/(66/3546).
1980
Let y(k) = -3 + 12 - k**2 + 10*k - 8. Let w be (5*2 - 0) + 0. What is the least common multiple of 8 and y(w)?
8
Let f = -1/2416 + -122001/16912. Find the common denominator of f and (-1310)/(-520) + (2 - 1 - 3).
364
Suppose 0 = a - 3*l - 12, 0*l - 3*l - 36 = -5*a. Let p(d) = -35*d + 137. What is the least common multiple of a and p(3)?
96
Suppose s = -13*s. Suppose s*t + 48 = 6*t. What is the lowest common multiple of 2 and t?
8
Suppose 3*d = -5*i + 43, 3*i = 3*d - 38 - 37. Calculate the smallest common multiple of d and 77.
231
Let a = -72182740171 + 4893989783833877/67800. Let f = 2/2825 + a. Find the common denominator of f and ((-46)/3)/(304/(-57)).
24
Let r(x) = x**2 - 27*x + 70. Let q be r(24). Calculate the least common multiple of 0 - 4/((q + 1)/1) and 14.
28
What is the lowest common multiple of 20 and 21 - 6*((-10)/5)/4?
120
Let g = 3713/1326 - -5/663. Let n = 3531912 - 960681987/272. Let c = n - -49/17. Calculate the common denominator of g and c.
208
Suppose a + 39 = 5*u - 70, 0 = 4*u - 4. What is the common denominator of (-1 - a/18)/1 and (-146)/2409*(1 - 49)?
99
Let a = 54 + -46. Let g = 7 - 5. What is the smallest common multiple of g and a?
8
Let x(z) = 2*z - 20. Let a be x(15). Let c = a - -8. What is the lowest common multiple of c and 20?
180
What is the lowest common multiple of 15 and -6 + 80/8 + 28/2?
90
Suppose -4*a - 83 = -3*r + 23, r = 3*a + 27. Calculate the common denominator of ((-6)/(-8))/(5/r) and (((-33)/(-154))/(24/14))/(13/(-1950)).
20
What is the lowest common multiple of 90 and 1352/36 - 18 - 4/(-9)?
180
Suppose 24 = 5*l - 3*i - 1, -15 = -3*i. Let r = 26 - l. Suppose -r = -z - 2*z. Calculate the lowest common multiple of z and 1.
6
Let i(n) = 61*n**3 - n**2 + n + 8. Let f be i(-4). Let h = 43025/11 + f. What is the common denominator of -1 + 1 - 35/(-4) and h?
44
Let x = 7810/7 + -2337/28. Let r = 1010 - x. Find the common denominator of r and 15/8.
8
Let a = -1820/9 + 7607/36. What is the common denominator of a and 7/4?
12
Let i = 3565 - 3554. Suppose -15 = 3*q - 8*q. Let b = q + -1. Calculate the lowest common multiple of i and b.
22
Suppose -5*n - 1935 + 1975 = 0. Calculate the smallest common multiple of n and 18.
72
Let q be 1*(-2)/3*-24. Suppose 3*y = y + q. Let b(i) = -i**3 + 14*i**2 + 16*i - 13. What is the smallest common multiple of b(15) and y?
8
Let b = 627/17 - 7919/170. Suppose -13 = z - 4*m + 2*m, 5*z + 3*m = 0. What is the common denominator of b and (-745)/(-30) + z/1?
30
Let g(u) = u**3 + 4*u**2 - 2*u - 5. Suppose -3*w - 8 = 1. Calculate the smallest common multiple of g(w) and 8.
40
Suppose -c + 18*r - 14*r = 0, 0 = r - 2. Calculate the smallest common multiple of 72 and c.
72
Let o(z) = z**2 + 8*z - 2. Let c = 199 - 139. What is the smallest common multiple of c and o(-10)?
180
Let d(h) = 2*h**3 - 5*h**2 + h + 2. Suppose -11*l + 10*l + 3 = 0. Calculate the least common multiple of 20 and d(l).
140
Let u = -1707625/78 + 21892. Find the common denominator of u and -73/26.
78
Calculate the least common multiple of (3/6)/(2/16) and (-66)/(-8) + 7/(-28).
8
Let j be (-8 + 6)/(2 - 0). Let t be j/4*-4 - -2. Suppose -f + 2*d = 8, -4*f + t = -0*d - d. Calculate the lowest common multiple of 6 and f.
6
Let b(p) = -p**2 - p + 12. Suppose 684*i - z + 28 = 685*i, i - 12 = z. Calculate the smallest common multiple of i and b(0).
60
What is the common denominator of -1/8 and (((-3705)/(-50))/13)/(480/250)?
32
Suppose -81 = 4*t + w, 0 = 4*t + w - 2*w + 79. Let c be ((-3)/5)/((-4)/t). Calculate the lowest common multiple of (-2 - -2)/c - -22 and 8.
88
Let d be (-1 - 0 - -23) + 4. Calculate the common denominator of (d/4)/(27/(-33)) and -93/8.
72
Let r = -17/11 - 785/33. Find the common denominator of ((-45)/(-21))/(8 + (-564)/70) and r.
6
Suppose -10*m + 242 + 218 = 0. Let i = -1 - -8. Calculate the least common multiple of m and i.
322
Let u(b) = 2*b**2 + 8*b + 1. Let y be u(-3). Calculate the common denominator of (-831)/(-45) - 1/y and -1/57.
57
Let s be 35*(2 - (-36)/(-20)). Let g be (-520327)/(-110) - s/35. Let t = 4727 - g. Calculate the common denominator of -5/14 and t.
154
Suppose 13*b - 18 = 11*b. Let y be 43 + (b/(-3) - 0). What is the common denominator of (-51)/(-225)*y/(-16) and 115/14?
210
Calculate the common denominator of 4136/1485 + (-18)/30 and -5/27.
27
Let z(k) = 23*k. Suppose -4*a = 2*w - 48, 2*w + 2*w = -5*a + 66. What is the least common multiple of z(2) and a?
230
What is the common denominator of 12/(-54) + (-493)/(-72) and 17/83?
664
Suppose -12 = 2*v + 4*r, -3*v + r + 3*r = 8. Find the common denominator of 447/45*(-35)/14 and v/8 + 9/20.
60
Let i = -490 - -502. What is the least common multiple of 144 and i?
144
Let p = -9 + 10. Let m = p + 1. Suppose 3*h + 13 - 61 = 0. Calculate the least common multiple of m and h.
16
Let w be -1 + 0 + 0 + 5. Let p be 10/(w/(-4) - -3). Suppose 0 = p*x + 4*h - 8*h - 2, 0 = 2*x + h - 6. W