-11))/12.
114
Calculate the common denominator of ((-52)/14)/(15/(-5) - 65/(-35)) and -83/32.
32
What is the common denominator of 7/(-6) + 2233*9/23436 and -69/496?
1488
Let c be (110/(-60))/(3/(-274)). Let u = 168 - c. Find the common denominator of u and -3.
9
Let c(y) = 2*y**3 - 57*y**2 - 29*y + 51. Let p be c(29). Suppose -586 = -5*s + 4*v, -49*v + p*v + 236 = 2*s. Calculate the lowest common multiple of 10 and s.
570
Let p = -33 - -39. Suppose -p*x - 16 = -46. Suppose -9*u = -x*u - 116. What is the least common multiple of 11 and u?
319
What is the least common multiple of (-12460)/1424*(-276)/5 and 92?
1932
Suppose d = 3*d + 8. Calculate the common denominator of (d*19)/(-15 - 0) and ((-46)/1)/(45/((-3240)/96)).
30
Suppose -4*m - 82 = -5*m + 2*x, -249 = -3*m + 3*x. What is the smallest common multiple of 68 and (2/7)/(4/m)?
204
Let o be (-4)/(-7) - 18262/38157. Let m = o + 269/790. Calculate the common denominator of -73/66 and m.
330
Let t = 1417 - 1393. Calculate the least common multiple of t and 56.
168
Let o = 39 + -259. Find the common denominator of (13/(-5) + 2)/((-2178)/o) and -52/9.
99
Suppose 8*x - 3*x + 45 = 0. Let k(r) = -r**3 - 9*r**2 - 5*r + 1. Let h be k(x). Calculate the common denominator of h/40*(-4)/3 and 52/27.
135
Suppose 15*z - 1403 = 2242. What is the smallest common multiple of z and 162?
486
Let g(i) = i**2 - 9*i - 25. Let f be g(14). Suppose 3*w - f = -3*x + x, -4*x + 45 = -3*w. Suppose -3*p + x = 3. Calculate the lowest common multiple of 2 and p.
4
Suppose 2 = -2*z + 10, 5*m + 5*z = 75. Let d(t) = -t**3 - 6*t**2 + 4*t - 9. Let c be d(-6). Let l = c - -41. What is the lowest common multiple of m and l?
88
Let j(x) be the second derivative of x**4/12 + x**3/3 - 2*x**2 - 86*x. What is the smallest common multiple of 40 and j(-6)?
40
Let d = -17707 - -17941. Calculate the lowest common multiple of d and 126.
1638
Let z(y) = 2*y**2 - 6*y. Let o = -1044409 + 1044567. Calculate the lowest common multiple of o and z(4).
632
Suppose -722*g + 361*g + 342*g - 646 = 0. What is the common denominator of g and 21/145?
145
Let q = 14364770501/6186 - 2322142. What is the common denominator of q and 20/9?
18558
Suppose -4*s - 5*j - 42 = -652, -3*s = 3*j - 456. What is the lowest common multiple of s and 25?
150
Let q(k) = -16*k**3 - 41*k**2 + 27*k + 93. Suppose -3*p = -4*n + 10, 3*n + 0 = -3*p + 18. What is the smallest common multiple of 52/6 - p/(-6) and q(-3)?
225
Calculate the lowest common multiple of 276 and (-8 - 238/(-7)) + (16/(-4))/(-4).
2484
Let a = -3/27394 + -376501/1520367. Find the common denominator of a and 61/48.
1776
Let c be (9111/(-4560) + 2)/6. Let l = c + -229523/9120. Find the common denominator of l and 1/5 + (253/(-90) - -3).
18
Let y = 19 + -10. Suppose 0 = -5*g + 24 + 31. Let b(c) = 3*c - 3. Calculate the lowest common multiple of b(g) and y.
90
Let n = -1/1081594 - -56244493/1735958370. Find the common denominator of n and 52/963.
4815
Suppose 0 = s, 3*f - 135 = -0*f + 4*s. Let m = f - -51. Calculate the smallest common multiple of m and 12.
96
Let b = -8862997/174 - -50936. What is the common denominator of (-25)/(-90)*(-264)/180 and b?
1566
Suppose -c - 47 = -3*l + 15, 2*c + 82 = 4*l. What is the common denominator of -9/176 and l/(-4)*(-180)/54?
176
Suppose 271 = 3*y - 5*l, -3*y - 3*l + 203 = -76. What is the lowest common multiple of 12 and y?
276
Let i(q) = 7*q**2 - 12*q - 12. Let t be i(-1). Find the common denominator of (t - 330/48)/(39/(-462)) and 133/12.
156
Let t = 2/9339315 - 409071336331/74714520. Let s = t - -5482. What is the common denominator of s and 23/(-4)*(-9 + (-1 - -2))?
8
Let k = 81 + -36. What is the common denominator of (-5)/k*477/(-42) and 41/78?
546
Let l be (-1 - (10 + -1)) + 5. Find the common denominator of 1/4 + (-1640)/(-96) and 74/(-66) + (0 - (-4 - l)).
33
Let v = 221/120 + -69/280. Let p = -27005114994371/13335 + 2025130487. Let l = p - -2/2667. What is the common denominator of l and v?
210
Let s(z) = -z**3 + z**2 + 87*z - 23. What is the smallest common multiple of 20 and s(-9)?
20
Let m(g) = 113*g**2 - 11*g + 5. Let f be m(4). Let b = -38827/22 + f. Calculate the common denominator of 63/212 and b.
2332
Find the common denominator of 53/22 and 5766/(-9744) + 80/(-1160).
616
Let t = 128 + -125. Find the common denominator of 23/114 and (-32)/(-12)*t/(-12) - -2.
114
What is the common denominator of -10/21 and -4 - (-43461)/2170 - 16?
6510
Suppose -108787*a - 240 = -108817*a. Let w(g) = -g. Calculate the lowest common multiple of a and w(-4).
8
Let s = 4499/17810 - -7/548. What is the common denominator of s and 93/4?
260
Suppose 5*p - 1058 = 2*c, -10*p + 8*p + 4*c = -404. What is the least common multiple of 8 and p?
856
Let n(b) be the second derivative of b**4/3 + 2*b**3/3 - b**2 + b. Let z = 8131 + -8115. Calculate the smallest common multiple of z and n(4).
624
Let v be (-9 - -4 - -8) + -3. Suppose v = -r - 2*r + 120. What is the least common multiple of r and 40?
40
Let w = 54/1223 + 42415/341217. What is the common denominator of 113/744 and w?
2232
Let q(f) = -17*f**2 + 23*f + 1. Let x be q(2). Let w(r) = -10*r - 198. What is the least common multiple of w(x) and 21?
84
Suppose 0 = -3*p + 5*p - 24. Let x = -653 + 9139/14. Find the common denominator of x and p/(-42) + (-2134)/(-168).
84
Suppose -6*f + 7*f - 2 = 0. Suppose -114*s = -127*s + 1482. What is the least common multiple of f and s?
114
Let k be ((-13)/(-3))/(23880/(-72)). Let y = k - -31456/46765. Calculate the common denominator of y and 107/10.
470
Let m = -73717 + 72537571/984. What is the common denominator of m and 65/8?
984
Suppose -2*v + g + 7 = 0, 7 = -4*v - 7*g + 2*g. What is the lowest common multiple of (v + -47)*38/(-57) and 48?
240
Let a be ((-348)/(-15))/((-2)/180*-3). Let k = 774 - a. What is the least common multiple of k and 3?
78
Let l(b) = -b**3 - 2*b**2 + 3*b - 4. Suppose 11*j + 1985 - 2007 = 0. Calculate the least common multiple of j and l(-4).
16
Let k(u) = -19*u + 68. Let p be k(-6). Let d = -175 + p. Let b(q) = q**3 + 4*q**2 - 4*q - 1. What is the least common multiple of d and b(-4)?
105
Let f be 117/12*(-12)/(-3). Suppose f = -v + 4*v - 2*x, -2*v - x = -26. Suppose 0 = -7*h + 22 + v. Calculate the smallest common multiple of h and 3.
15
Let m = -3601133/1290 + 8375/3. What is the common denominator of m and -99/10?
430
Let z = -105363/10 + 10546. Find the common denominator of -57/110 and z.
110
Calculate the common denominator of 167/270 and -7 + (-3265)/(-165) + -11.
2970
Suppose 10 = -2*k - 3*k. Let g(a) = -10*a**3 - a**2 - a - 4. Let q(z) = -z**2 - 5*z + 56. What is the smallest common multiple of g(k) and q(-9)?
740
Suppose 3*f + 3*k + 132 = 0, -f + 3*k - 32 = -0*f. Let b = -15 - f. Let d = b - 10. Calculate the lowest common multiple of d and 44.
176
Let c be 340/(-3740) + 111301/267080. Let k = 8456723/1214 + -6966. Let f = k + c. Calculate the common denominator of -133/36 and f.
360
Let h = 2815 + -1300. Let t = h + -118285/78. Calculate the common denominator of -59/130 and t.
390
Calculate the common denominator of (7980/(-70))/((-90)/16) + (-1)/10 and -125/186.
186
Let m = 536719 - 15028037/28. Calculate the common denominator of m and ((-5)/48)/(1/9).
112
Suppose -86*x + 9640 = -4034. Calculate the lowest common multiple of x and 68.
10812
What is the smallest common multiple of (-5 - 1799/35)/(3/(-15)) and 1175?
7050
Let g be (4754/(-22050))/(6/(-18)). Let f = g + -1/147. What is the common denominator of -72/35 and f?
175
Suppose 0 = 4*q + 5*c - 201, -6*q + 2*c = -q - 276. Find the common denominator of 44/25 and (117/6)/((-3)/66*q).
450
Suppose 3*o - 2*j = 803, -13*j + 8*j = 5*o - 1305. Suppose -34*s + 60*s - 182 = 0. Calculate the lowest common multiple of o and s.
1855
Find the common denominator of (-51)/(-108)*2 + 2 and (-4)/(-38) + (-220832)/(-2655744) - 8/(-84).
1872
Let q = 145553/66 - -1160/33. Let y = 2199 - q. Calculate the common denominator of y and -54/5.
10
What is the common denominator of 150/(-88) - (-18 - (-1022)/56) and 29/1262?
13882
Suppose 0 = 3*h - 7*h + 5*a - 189322, 3*h + 2*a + 142003 = 0. Let v = 15251 - h. Let r = -8636743/138 + v. Calculate the common denominator of 33/16 and r.
1104
What is the least common multiple 