et b be (-2395002)/80 + (-35)/(-28) + -1. Let p = b + 29935. What is the common denominator of p and -37/8?
40
Let s = 50434 - 27688286/549. Calculate the common denominator of 95/244 and s.
2196
Let g be (7/(140/24))/(4/10). Suppose 3*n = 5*r + 38, g*n - 4*r = 4*n - 41. Let y(f) = -f + 8. Calculate the least common multiple of n and y(5).
21
Let a = -251/109 - -17797/10900. What is the common denominator of a and -37/3475?
13900
Let h be 54/24 - 2 - (-556436)/(-50). Let d = h - -11129. What is the common denominator of -47/6 and d?
300
Let z = -28254/38819 - -2/3529. Find the common denominator of z and -43/119.
1309
Let m = -49/293 - -811082/16115. Let x = 466/11 - m. Calculate the common denominator of 1 + ((-57)/(-10) - 0) and x.
10
Suppose 0 = g + 4*h - 40, -3*h = 4*g - 6*g + 36. Suppose -52*a + 32*a = -840. Calculate the least common multiple of a and g.
168
Let s = 1501/16 - 94. Let l = -35 - -39. Suppose q = 3*q + l*d + 16, 3*q + 17 = d. What is the common denominator of s and q?
16
Let q(w) = -w**2 + 2*w - 3. Let j be q(3). Let a = -5365/7 + 758. Find the common denominator of (-76)/j + (-1)/(-1) and a.
21
Let y = 43 + -43. Let p be ((-2)/6 + y)/(10/(-90)). What is the common denominator of (-1 + p/6)/((-6)/82) and 61/24?
24
Calculate the common denominator of (3*(-2)/4)/(3780/(-5068)) and 51/7.
630
Let t be 13 + -11 - (320/228 - -4). Let a = t - -13406/3135. Calculate the common denominator of a and -35/4.
220
Let f(x) = 212*x**2 + 12*x + 2. Calculate the least common multiple of 34 and f(-1).
3434
Let b(j) = 4*j - 14. Let u(f) = 16*f**3 - 13*f + 6*f**2 - 15*f**3 + 0 + 5*f**2 - 2. What is the smallest common multiple of u(-12) and b(6)?
10
Let c(f) = f**3 - 6*f**2 - 25. Suppose 0 = -2*d - 3*l + 4 + 16, -d = 4*l - 15. What is the common denominator of c(d) and (-19)/12*15/(-2)?
8
Let a(l) = l**3 - 9*l**2 + 3*l + 64. Let h = -396 + 423. What is the lowest common multiple of h and a(8)?
216
Let c(h) = -68*h**3. Let w be -3*2/4*2/(-3). Let p be c(w). Find the common denominator of -69/20 and (-5)/((-30)/(-9)) + p/(-30).
60
Let g = -8/929 - -80855/3716. Calculate the common denominator of (-3279)/(-378) - 2/7 and g.
36
Let a = -235295993/38590708347 - -2/4801631. Find the common denominator of 3/6251 and a.
56259
Let t = -16 + 21. Suppose t*r - 153 = 3*j, -19 = -r - 4*j + 7. Let i(k) = k**2 - 31*k + 16. What is the smallest common multiple of r and i(0)?
240
Let g = 210941/30 - 7029. Find the common denominator of g and 8/25.
150
Let f be (430/40)/((-2)/8). Let c = f - -76. What is the smallest common multiple of ((-8)/(-10))/(-10*10/(-3000)) and c?
264
Suppose -30 = 15*c, -3*c = -5*x + 2400 + 4281. Calculate the smallest common multiple of x and 11.
14685
Let x(v) = v**3 - 2*v**2 + 8*v + 36. Let o be x(0). Suppose 23*j + 715 = o*j. Calculate the least common multiple of 185 and j.
2035
Let k(s) = -5*s - 58. Let i(r) = -r. Let n(t) = 2*i(t) + k(t). Let u be n(-18). Let l = 728/11 - u. What is the common denominator of l and 27/43?
473
Suppose w - 4*w + 263 = -5*l, -4*w + 3*l + 369 = 0. Calculate the common denominator of w/(-198)*(-1 + -8) and 27/65.
715
Let u(x) = -21*x + 10. Let v be u(8). Let a = 275 + v. What is the lowest common multiple of a and 27?
351
Let c(n) = -6*n - 11. Let q(w) = 13*w + 21. Let s(l) = -5*c(l) - 2*q(l). Let j be s(-5). Calculate the common denominator of (1575/(-20))/j + 4 and 39/8.
8
Let t = -83 + 76. Let r(q) = q**3 + 8*q**2 + 2*q - 2. Calculate the smallest common multiple of 11 and r(t).
33
Let c = 61089 - 61085. Suppose 3*f = -k + 252 + 131, 0 = -4*k + 5*f + 1566. Calculate the least common multiple of k and c.
1556
Let p = 2427 + -148079/61. Let w = p + 6514/13115. Let l = 5853/1720 + w. What is the common denominator of l and 71/8?
8
Let o = -38 - -126. Suppose 2*s - o = -0*s. Let d(x) = x**2 - 88*x + 1868. Calculate the lowest common multiple of d(34) and s.
352
Suppose 0 = -3*a + 5*c + 168, -a - 2*a + 159 = -2*c. Find the common denominator of (53/a)/(20/6) and 95/8.
680
Let n = 152743361981/26319878 - -30/1012303. Let p = n - 5807. What is the common denominator of -7/104 and p?
104
Suppose -6*f + 8*f - 116 = 0. What is the lowest common multiple of f and -3 + (-4 - -4) + 0 - -5?
58
Let v = 71198092 + -1281880889/18. Let k = -17519 - v. What is the common denominator of k and -77/36?
36
Suppose 3*a = -2*s - 3828, 6*s - 1276 = a + 4*s. Let m = a - -20405/16. What is the common denominator of -149/18 and m?
144
Let w be (17/(-4) - -4)*(-97122)/9. Let r = 7598 + -4893. Let y = w - r. What is the common denominator of -55/56 and y?
168
Let x be 14603/4560 + (-28)/(-56). Let w = -281/114 + x. Find the common denominator of -1/64 and w.
320
Let t(a) = -4*a**2 + 92*a - 61. What is the smallest common multiple of t(7) and 93?
11997
Let z = 8350 + -350681/42. What is the common denominator of (-1 - (-163)/(-27))/(4016/(-753)) and z?
504
Let y = -1397 - -4256/3. Calculate the common denominator of y and -67/346.
1038
Suppose -48*x + 16937 = -12439. Calculate the lowest common multiple of 544 and x.
4896
Suppose -1383 + 6864 = -7*k. Let g = -2425/3 - k. Find the common denominator of 19/44 and g.
132
Suppose v - 2*x - 868 = 0, -4*x - 840 = -v - 6*x. Calculate the least common multiple of 305 and v.
4270
Let s = -11818 - -13900. What is the lowest common multiple of 3 and s?
2082
Let b = 53491/33960 + -1/8490. Let i = -117917/40 - -2951. Find the common denominator of i and b.
40
Let t be (-1 + 523)*-18*90/24. Let k = 104378/3 + t. Let q = -450 - k. Find the common denominator of -95/26 and q.
78
Suppose 628*w - 758 = -2*x + 626*w, -2*w = -5*x + 1930. Calculate the lowest common multiple of x and 1408.
4224
Let y = 8/54169 + -3957057/18417460. Find the common denominator of y and -39/1360.
1360
Let a = 2116961/20 + -105901. Let u = -37894/5 + 7630. Let c = a + u. Find the common denominator of -19 and c.
4
Let o(j) = -4*j**2 + 21*j - 61. Let z(p) = 11*p**2 - 63*p + 183. Let f(a) = -8*o(a) - 3*z(a). What is the common denominator of f(18) and -3 - 1 - (-217)/35?
5
Calculate the lowest common multiple of 7 and ((-18)/4)/((-543)/361276).
20958
Let z(q) = -2*q**3 - 5*q**2 - 6*q - 3. What is the lowest common multiple of z(-5) and (148/592)/((3/1)/228)?
152
Let s = 185 + -130. Let d = s - 52. Calculate the least common multiple of 8 and (d/(-2)*-1)/(9/12).
8
Let y(c) = -c**2 - 7*c + 66. Suppose -3*g + 340 = 10. Suppose 8*n = 3*n + g. What is the least common multiple of y(5) and n?
66
Let y = 1206/23 + -229643/4416. Find the common denominator of 13/153 and y.
9792
Let b = 140/13759 - -500903/27848216. Calculate the common denominator of b and 29/352.
8096
Let n be (-6 - (-3175)/45)*6. Let t = -8543/22 + n. Calculate the common denominator of t and -65/77.
462
Let p = 59081/22630 - 376/155. Let y = -3707/876 - p. Calculate the common denominator of -62/57 and y.
228
Let u(q) be the first derivative of -2*q**3/3 + 11*q**2/2 + 15*q - 39. Let p be u(7). Calculate the common denominator of 3/p - (-402)/264 and -79/20.
220
Let d(s) = s**2 + 2*s + 3. Let q be d(0). Suppose -q - 1 = -4*k. Suppose 2*o - 5*o = 4*y + 11, 3*y + 27 = 4*o. What is the lowest common multiple of o and k?
3
Let l(w) = 8*w**2 + 3*w - 4. Let h be l(4). Let f = h - 73. Suppose 0 = 3*k + 2*s - 62, -4*s + s = -2*k + f. Calculate the lowest common multiple of 15 and k.
120
Let h(v) = -4*v**3 - 14*v**2 - 8*v - 4. Let i be h(-3). Suppose 5*n + 31 = -i*u + 45, -u = 4*n - 10. What is the lowest common multiple of u and 358?
358
Suppose 0 = 5*f + 5*n - 650, 0 = -5*f - 3*n + 7*n + 659. Calculate the smallest common multiple of 5 and f.
655
Let z = -7 - -8. Let i = -140431/77488 - 1/4843. What is the common denominator of i and 150/160 + z/4?
16
Suppose 55*c + 1698 = 58*c. Calculate the smallest common multiple of c and 8.
2264
Suppose 3*i - 15120 = -13230. Calculate the lowest common multiple of i and 504.
2520
Suppose 33*w = 12*w + 42*w - 17325. Calculate the smallest common multiple of 1870 and w.
28050
Let j be ((-2)/(4/9) + 4)*0. Suppose 2*z + 17 - 7 = j. Calculate the least common multiple of (2*z/(-4))/(25/60) and 298.
894
Let g(i) = 16*i**2 - 24*i + 190. What is the least common multiple of 22 and g(7)?
8866
Let x(h) = -3*h + 3*h - 21 + 94 + 5*h. Cal