c = 508414759666019/20295 + -25051232314. Let q = c - -4/2255. What is the common denominator of 20/7 and q?
63
Let o(k) = 4*k + 8. Let z = 10374 + -10366. Calculate the lowest common multiple of z and o(7).
72
Suppose 12*a = 1091 + 205. Calculate the lowest common multiple of 62/1395*15 - (1 - (-109)/(-3)) and a.
108
Let d(s) = 22 - s**3 - 3*s**2 - 7*s**2 - 149*s + 151*s + 0*s**2. Let y be d(-10). What is the common denominator of 1/22 and 418/48 + (y - (-12)/(-9))?
88
Let d be 40 - (1 + (-7 - -4)). Calculate the common denominator of ((-64)/(-12) + -2)*20/(-48) and (-5)/15 + 281/d.
126
Let z = -931405/13 - -71649. What is the common denominator of 0 + -26*2/(-18) and z?
117
Let g = -5049/28 + 199635/1106. Find the common denominator of g and 21/79.
316
Let d = -2457637/54 + 45514. Find the common denominator of -149/216 and d.
216
Let g(t) = 37*t + 12 + 51*t - 81*t. Let f = 2 + -2. Calculate the smallest common multiple of g(f) and 6.
12
Let t = -20 + 22. Suppose 5*v + 29 = t*v - c, -3*v = -3*c + 9. Find the common denominator of 12*4/(v/7) and -93/2.
2
Let z = 50426 - 11698787/232. Find the common denominator of z and 27/203.
1624
Suppose 17 = c - 28. Let w = 50 - c. Suppose -87 = -w*a + 3. Calculate the lowest common multiple of 14 and a.
126
Let l = 6 + -1. Suppose -56 - 134 = -l*c. Let r = -29 + c. Calculate the least common multiple of 4 and r.
36
Suppose -12*s - 30 + 78 = 0. Suppose -130 = 2*n - 144. Let i = 16 - n. Calculate the least common multiple of i and s.
36
Let m(n) = -n**3 - 7*n**2 + 19*n + 25. Calculate the smallest common multiple of 128 and m(-9).
128
Let m = -2852 + 2860. What is the lowest common multiple of 2094 and m?
8376
Let l = -23495/8 + 2943. Calculate the common denominator of -7/22 and l.
88
Suppose 3552*v - 3537*v - 1890 = 0. What is the least common multiple of 168 and v?
504
What is the least common multiple of 7 + (-1825321)/(-259) + (-8)/14 + 0 and 16?
56432
Let o = -666 - -675. What is the common denominator of 3 + 3/o*(-59)/(-2) and -41/21?
42
Suppose -4*f - 4*q + 8 = -64, -4*f = 2*q - 66. What is the common denominator of ((-7)/(-245))/((0 + -3)/6) and 2/f - 530/100?
210
Suppose 16*g - 32 = 12*g. Let h = 96 - -46. Calculate the lowest common multiple of h and g.
568
Calculate the common denominator of (-35 - -84)*(1 - 2)/(-6) and -47/4585.
27510
Let c be (-75090)/(-96) - (-3 + 8 - 0). Let w = c + -778. Calculate the common denominator of w and 53/118.
944
Suppose -4*n - 388 = -3*r, 483*r - 376 = 480*r + n. What is the lowest common multiple of 360 and r?
11160
Let i(s) = -21*s**3 + 204*s**2 + s + 76. Calculate the smallest common multiple of i(-7) and 3.
17268
Let f = 5 + -3. Suppose -2*z - 3*k = -z + 289, -3*z = -5*k + 853. Let h = z + 294. What is the smallest common multiple of f and h?
8
Calculate the lowest common multiple of 16 and (5/(-10))/(32/(-24576)).
384
Calculate the common denominator of 41/56 and 22/(-7)*1422/1512 + 3.
1176
Let v be ((-6000)/(-72))/(2/6). Let b(h) = 14*h + 1. What is the lowest common multiple of 49 + v/(-75)*(-3)/2 and b(1)?
270
Let m = 10211 - 8224. Calculate the lowest common multiple of 2 and m.
3974
Suppose 17*j - 18*j = 2520. Find the common denominator of (-822)/j - (-2)/(-14) and -29/10.
60
Let y(l) = l**3 + 35*l**2 - 42*l - 112. Calculate the smallest common multiple of 92 and y(-36).
2392
Let d be (38577764/1010)/(-1*154). Let r = d + -234/3535. Let t = -247 - r. What is the common denominator of t and -57/4?
44
Calculate the least common multiple of 6864 and (-1920)/(-190) + (-4)/38 + -4.
6864
Let i(g) = g**2 - 6*g - 8. What is the least common multiple of 1295 and i(8)?
10360
Let l = -196308/5 + 40616. Let o = l + -1346. Find the common denominator of o and 23/11.
55
Suppose -5*m - 10 = 0, 6*m - m + 18 = o. Let k(g) = g - 13. Let u be k(o). Calculate the common denominator of u/(-2070)*6*(-495)/6 and 33/20.
460
Suppose 3*o = -23*o - 20020. Let u = o + 773. What is the smallest common multiple of u and 9?
9
Let y(k) = 23*k**2 + 4*k + 49. Let r be y(-9). What is the common denominator of (4 - 3) + 82/(-108) and 3/6*r/(-126)?
54
Let v = -2129 + 2178. What is the lowest common multiple of v and 17?
833
Let z = 2119/378 - 134/27. Calculate the common denominator of -2 - 9/((-108)/(-8))*(-213)/(-4) and z.
14
Let t(v) be the third derivative of -11/24*v**4 + 0*v + 2*v**2 - 6 - 4*v**3 - 1/60*v**5. Calculate the lowest common multiple of 7 and t(-7).
28
Calculate the common denominator of ((-27)/24 + -4)/(300/720) and 91/1275.
2550
Let o be (-2)/(-6) - (-64)/24. Suppose o*i - 3 = 27. Let t = 13189 - 13170. What is the smallest common multiple of t and i?
190
Let h = 1413848/77 + -18362. What is the common denominator of h and -201*3/792 - 0?
616
Let s = -221982916950/77 + 2882937324. Let l = s + -42298. Find the common denominator of 5/14 and l.
154
Let c = -241045/52 + 4634. Let h = 27/5 + -73/20. Calculate the common denominator of c and h.
52
Suppose -3*l + 1631 = 3*d + 938, -2*d = 5*l - 465. Calculate the least common multiple of d and 2162.
10810
Let m = -539 + 779. Let g = -162 + m. Calculate the least common multiple of 6 and g.
78
Let m be (-48)/192 - -1*(-3070)/(-35164). Let a = m - -19/118. Let s = a + 31599/6556. What is the common denominator of -8 and s?
11
Suppose 0 = -3*p - 5*t + 3254, -449*t + 4384 = 4*p - 448*t. What is the smallest common multiple of p and 18?
1098
Let t = -682 - -777. Suppose -2*y + 3*g = -y - 51, g - t = -2*y. What is the least common multiple of 36 and y?
144
Suppose -179 = -4*c + 89. Let v = -57 + c. Calculate the lowest common multiple of v and 14 - 0*(-1)/(-2).
70
Suppose 4*u - 7 - 145 = 0. Suppose -68*c + 69*c - u = 0. Let x = 65 - c. What is the least common multiple of 3 and x?
27
Suppose 21*b - 25*b + 3*n + 2179 = 0, -5*b - 4*n + 2716 = 0. Let h = b - 539. What is the smallest common multiple of 5 and h?
5
Let l(f) = 6*f**2 + 103*f - 479. What is the least common multiple of l(5) and 1095?
67890
Let q(b) = 11*b**2 - 26*b + 323. Calculate the smallest common multiple of q(5) and 576.
7488
Let o(b) = 24*b**3 - 13*b**2 + 93*b - 234. Calculate the least common multiple of 210 and o(6).
5040
Let h = 3137 - -2078. Let i be (4 - 7) + h/1778. Let w = i - -8933/2540. Calculate the common denominator of -55/18 and w.
180
Let h(r) = -r**2 + r + 6. Let t be h(-5). Let g = 30 + t. Calculate the least common multiple of g and (3/9 + 1)/((-36)/(-162)).
6
What is the common denominator of 13/632 and (-3)/(189/14) + 3/(3456/(-1580))?
2528
Let c = 102257353/420 - 243470. Find the common denominator of 33/412 and c.
43260
Suppose 4*q + a + 115 = 6*q, 3*q - 3*a - 165 = 0. Suppose 3*t = 2*d + 2, -2*t - 2*t = -d - 6. Calculate the least common multiple of 2*20/(t + 0) and q.
60
Let u = -455 - -458. Suppose 86 = 2*a + j, -5*j + 4 = -u*j. Calculate the smallest common multiple of 70 and a.
210
Let m = -8054861/11 - -734661. Let r = 2397 - m. Let q = -3112 + 34269/11. What is the common denominator of r and q?
11
Let x be 1 + -1 + 0 + 7. Let t = 13 - x. Suppose -27 = -42*b + 225. What is the least common multiple of t and b?
6
Calculate the smallest common multiple of 61 and -3*(4/2 + 45/(-135))*-3.
915
What is the common denominator of (-2999)/408 + (5/(-10))/(2/(-28)) and 25/24?
408
Let n be (-6)/(-1)*11/(-13519). Let l = n + -148673/7374. Let r = 2454 - 9729/4. Calculate the common denominator of r and l.
12
Let u(n) = -2*n**2 + 18*n - 11. Let m be u(8). Suppose 4*t - t - 14 = r, -r - m = 0. What is the common denominator of 7/3 + (t - 6) and 149/12?
12
Let l be ((-13113966)/(-8))/((-1035)/10). Let g = l + 15838. Calculate the common denominator of g and -14/5.
690
Let l = 1900/3 - 626. Calculate the common denominator of (((-3)/112)/(1/2))/((-720)/(-1960)) and l.
48
Let c(h) = -h**2 + 13*h - 10. Let i be c(4). Suppose -2*z = 5*x - i, z + 3*z + x = 70. Calculate the smallest common multiple of 10 and z.
90
Let k(j) = j**3 + 14*j**2 + 23*j - 10. Let f be k(-12). Find the common denominator of -85/56 and 21624/8064 - (-3)/((-21)/f).
336
Let j = 2202/25255 + -62197909/71774710. Let h = 33323 - 1632937/49. Let d = j - h. Calculate the common denominator of -103/14 and d.
406
Let o be (-4)/26 + 17448/13. Let t = o + -13431/10. Let y = 23/5 + t. Ca