47/8.
192
Let f = 2424 + -9767/4. Calculate the common denominator of -107/234 and f.
468
Let a = 390 + -388. What is the least common multiple of 7 and a?
14
Let s = -531529/70 - -7593. Find the common denominator of s and -161/90.
630
Suppose 21 = i + n, -2*i - 5*n + 21 = -i. Suppose 0 = x + a - 6*a + 17, 0 = 5*x - 3*a - 3. What is the smallest common multiple of x and i?
21
Calculate the common denominator of -3 + 69/(-96)*2 and (15/(-18) - 1)/(5/25).
48
Let s(y) = 4*y**2 + 6*y - 4. Calculate the smallest common multiple of 18 and s(5).
126
Let j = 1987/2772 + -1/396. Suppose 0 = 3*s - 105 + 1401. Let q = -4747/11 - s. Calculate the common denominator of q and j.
77
Let z = -2/1498526183 + 183684843942913/6984630538963. Let g = z - 1518/59. Let f = 7099/158 + g. Find the common denominator of f and 32.
2
Calculate the common denominator of (-14)/357*(3 - (-420)/(-16)) and 1/(-3)*(-78)/4.
34
Suppose -5 = -5*p + 5. Let d(l) = l**2 - 10. What is the least common multiple of d(4) and p?
6
Let w(k) = -2*k**3 - 8*k**2 - 35*k - 58. Calculate the smallest common multiple of 2 and w(-8).
734
Let z = 35 + 33. Suppose 3*d = -3*l + 33, d + 16 = -4*l + 42. Calculate the least common multiple of z and d.
204
Suppose 5*i - 39 = -2*c, 0 = 2*c + c - i - 84. Let m = c - 28. Let b(r) = -7*r + 3. What is the least common multiple of b(m) and 16?
80
What is the common denominator of -3 - -3 - 26/(-9) and ((-9)/(945/(-20)))/((819/98)/13)?
27
Suppose -2*y - 2*y + 84 = 5*f, -88 = -4*f + 2*y. Calculate the lowest common multiple of f and 538.
5380
Suppose -3*q = -z - 0*z - 9, 23 = 5*z + 2*q. Suppose -r = -2*w + 15, 45 = z*w - 2*r + 5*r. Calculate the least common multiple of 1/3*-5*-3 and w.
10
Let x = 4732 - 3244. Calculate the common denominator of -71/16 and 6/2 + x/72.
48
Let t = -1 + 1. Let o = 5 + t. Suppose -4*x = 3*r - 2*r + 11, -3*x = -5*r + 14. What is the lowest common multiple of r and o?
5
Calculate the common denominator of -2 + -1 - (-8)/(-9) and 264/56 + -1 + -2.
63
Suppose -2*u = -4*g + 2078, 2*g - 838 = -4*u + 206. Calculate the smallest common multiple of 10 and g.
520
Let g = -962 + 382875/398. Let a = 8947/3184 - g. Find the common denominator of a and (-1)/(16/31)*-3.
16
Let t(a) = a**2 + 8*a + 5. Let p be t(-8). Suppose -s - 71 = -3*n - 2*s, p*s - 113 = -4*n. What is the least common multiple of n and 8?
88
Let d be 1/4 + (-3)/12. Suppose w + m + 29 = d, -5*w + 5*m - 79 = 46. Let v = -13 - w. What is the lowest common multiple of 14 and v?
14
Let m(v) = 11*v - 35. Suppose 0*h - 2 = -h. Suppose -u - 2*u = -2*c - 70, -4 = h*c. Calculate the least common multiple of u and m(5).
220
Suppose 4*c = -3*k - 47, -4*c + 4*k - 3 - 9 = 0. Calculate the least common multiple of 14 and (686/c - 3/12)*-1.
602
Let l = 78 + -98. What is the common denominator of -10/11 and (-118)/l*45/18?
44
Let r be 4*1*28/(-8). Let n = r - -16. Calculate the smallest common multiple of 11 and n.
22
Let w be ((-8)/6)/(-2) - (-39)/9. Suppose n - 2*b = -2*n + 17, w*n - 4*b - 27 = 0. What is the least common multiple of n and 5?
35
Let x(n) = n + 2. Let m be x(3). Suppose -5*r = t - 1 - 14, -m*t = -r - 101. Calculate the least common multiple of 14 and t.
140
Suppose -5*i + d = -5, -4*d + 11 + 1 = -4*i. Let q be (26/1)/i - 3. Calculate the common denominator of (q/(-4) - 3)*2 and -47/5.
5
Suppose 39 = 2*p + 27. Suppose p = o - 7*o. Calculate the common denominator of o + 14 - 7/14 and 51/16.
16
Let i(m) = -7*m - 89. Calculate the smallest common multiple of 12 and i(-19).
132
Let t be ((-911)/(-30))/(2/1). Let l = t - 233/30. Find the common denominator of 2/(-12)*(-6666)/242 and l.
132
Let s be 35957/280 - (-3)/(-21). Let d = s - 1075/8. Calculate the common denominator of d and 63/5.
10
Suppose -w - 4*t - 9 = -43, -5*w + 116 = 2*t. Calculate the least common multiple of 118 and w.
1298
Let h = 4382837/2796 + 148/699. Let y = h + -1576. Calculate the common denominator of y and 109/28.
28
Suppose 0 = 6*o - 2*o + 2880. Let b = o - -6458/9. Find the common denominator of -79/33 and b.
99
Let d = -61279/26532 + 3/737. Find the common denominator of 7/32 and d.
288
Let l = -112 - -206. Calculate the common denominator of 8/9 and (-2)/(-3 - 1)*l/5.
45
Suppose 6*y - 7*y - 5*x = -11, 3*y + 27 = 5*x. Calculate the common denominator of ((-228)/(-9))/y*2/(-8) and 46/9.
36
What is the common denominator of (-1)/(-1)*138/(-32) and (-154)/(-16)*(-9)/(-18)?
16
Suppose -3*k = -0*k - 78. Let s(c) = 19*c**3 + c. Let w be s(-1). Let o = k + w. Calculate the lowest common multiple of o and 18.
18
Let u = 24 - 20. Let v(x) = 12*x - 1. Let j be v(-4). Let l = -31 - j. What is the smallest common multiple of u and l?
36
Let q = 51026910815/1529448 - 153/254908. Let i = q + -33357. What is the common denominator of -17/18 and i?
72
Let q = -34 + 34. What is the common denominator of 51/7 and q - 196/44 - -1?
77
Let l = -124 + 123. Calculate the smallest common multiple of 6 and l - -3 - (-175)/((-42)/(-6)).
54
Suppose -2*d = 8 + 4. Let w = -6529/830 - -11/166. Find the common denominator of (d/20)/(24/(-632)) and w.
10
Let c be (456 - -1)/((-7)/133). Let k = -86759/10 - c. Find the common denominator of k and -23/2.
10
Let z = -173/209 + 2/209. Calculate the common denominator of -41/367 and z.
4037
Let l = 862 + -180. Let g = -51120 - -403457/8. Let j = g + l. Calculate the common denominator of j and -63/8.
8
Let c = 265 + -226. Calculate the lowest common multiple of 45 and c.
585
Let o(k) = -k**2 - 12*k + 3. Let y be o(-7). Let f be -4 + (-2 - (1 - y)). Calculate the common denominator of f/22 - (4 - 0) and 137/12.
132
Let y = 52 - 49. Suppose -29 = -5*x - 4. What is the least common multiple of y and x?
15
Let u be 6/30 - (-1542)/(-10). Let c = -74/23 - 1153/92. Find the common denominator of c and 2/7 - 467/u.
44
Let h = -15968/5 + 3182. What is the common denominator of h and 1 + (-5)/(90/393)?
30
Suppose 3*p - 42 = p + 2*t, 0 = -3*p - 2*t + 58. Calculate the lowest common multiple of p and 110.
220
Suppose -4*v - 2523 = 2817. Let f = v - -10611/8. What is the common denominator of f and 65/14?
56
Let f be (8 - -1)/((-3)/9). Calculate the least common multiple of 22 and (-819)/f + 2/(-6).
330
Let k = 18 - 11. Suppose -3*p = k - 19. What is the smallest common multiple of 6 and (p/12)/(2/36)?
6
Suppose 3*u + 12 = 5*u. Let t be 3*(-2 - -1) + -8. What is the lowest common multiple of (-24)/(-132) + (-218)/t and u?
60
Let j = 19789045/76275408 + 4/144461. What is the common denominator of 47/18 and j?
1584
Let s = -1385/3 - -5735/12. Find the common denominator of s and 8 + -10 - (-84)/(-10).
20
Let n = 110121/5 + -12554569/570. Find the common denominator of 14/9 and n.
342
Let v = 50842418/3037 + -16741. Let d = v + 2395/20396492. Let u = d + 359273/73876. What is the common denominator of u and -23/28?
308
Suppose -y + t + 26 = 18, 2*y + 5*t = 44. Let a = 42 - 12. What is the least common multiple of a and y?
60
Let w = 355/69 - -72262/345. Let c = 2189/10 - w. Calculate the common denominator of c and -13/22.
110
Let j = -182660/69783 + -5/3323. Find the common denominator of -75/112 and j.
336
What is the common denominator of -157/132 and (-1)/((-3)/(-18)) - 26070/(-3600)?
1320
Let o = 3112 + -31173/10. What is the common denominator of ((-3)/(-10))/(-5 + (-8324)/(-1660)) and o?
20
Let a(u) = u**2 - 10*u - 9. Let y be a(9). Let l = y - -30. What is the lowest common multiple of -1 - -31 - 2/(-12)*0 and l?
60
Let f be 1/5 - 81/(-45). Suppose -6*j + 35 = -j. Calculate the lowest common multiple of (-4)/f + j + 15 and 4.
20
Suppose 39*c - 43*c = -3*h - 48, 0 = -3*c + 4*h + 36. What is the lowest common multiple of c and 68?
204
Let o = -961 + 7679/8. What is the common denominator of o and -107/230?
920
Let u = 35/451 + 39337/56826. What is the common denominator of -67/108 and u?
756
Suppose -10*a = 12*a - 176. What is the lowest common multiple of 8 and a?
8
Let i = 642643/162 + -3967. Find the common denominator of i and 67/270.
810
Let t = 10/7 + -571/42. What is the common denominator of t and 164/(-5)*(-3)/18?
30
Let m(s) = 21*s - 1. Let w = 935 - 927. Calculate the least common multiple of m(1) and w.
40
Let c = 1056/53 - 168145/318. Let v = 516 + c. Let z = -12977/7 - -1857. What