the common denominator of j and (-7)/(-42) - -7*(-46)/96.
112
Let d(o) = -o - 23. Let k = -79 + 62. Find the common denominator of k and d(0).
1
Let v(i) = -i**2 + 21*i - 86. Calculate the smallest common multiple of 4 and v(8).
36
Let y = 427 + -418. What is the lowest common multiple of y and 4 + 4 + 2/(-1)?
18
Let c = -7127475519648 + 6215179973536213/872. Let d = c + -24450012. Let h = 1/218 + d. What is the common denominator of 21/8 and h?
8
Suppose 4*p = 26 - 18. Suppose -3*x - 19 = p*c - 171, 2*x - 123 = 3*c. What is the lowest common multiple of x and 1?
54
Suppose 2*l = -p + 76, -5*l = 8*p - 4*p - 184. What is the smallest common multiple of l and 24?
120
Let l be (-1)/(-12)*3 + 13/(-4). Let p = l + 29/4. Let k = -1378/11 + 125. Find the common denominator of p and k.
44
Suppose 0 = -h - h + 20. Suppose -d = -z + 1, 7*z + 4*d - 11 = 6*z. Suppose -z*v + 18 + 12 = 0. What is the lowest common multiple of h and v?
10
Let n be (0 - -2) + (-3 - -2). Let i = 1555 + -7814/5. Find the common denominator of n*(18 + 1 + -2) and i.
5
Let a(k) = -9*k**3 - 2*k**2 + k + 2. What is the lowest common multiple of 464 and a(-1)?
464
Calculate the smallest common multiple of ((-72)/(-120))/(-1*2/(-430)) and 30.
1290
Let l = -1093/6 + 132427/726. What is the common denominator of l and -87/2?
242
Calculate the common denominator of -56/27 and (-3)/9 + 1 + (-114)/20.
270
Suppose -2222 - 2058 = -4*v. Let j = 158 + -1241/8. Calculate the common denominator of j and v/28 + (-4)/(-14).
8
Find the common denominator of -58/9 and ((-7)/2)/((-63)/(-9) + -25).
36
Let b be (3 - 4)*(-10)/(-5). Calculate the smallest common multiple of 0/(b + -3 - -2) + 9 and 9.
9
Let g = -51/5 - -152/15. Find the common denominator of -29/45 and g.
45
Let c(x) = -x - 26. Let s(w) = -w**3 - 19*w**2 + 2*w + 26. Let d be s(-19). Let q be c(d). Let g = q - -28. What is the smallest common multiple of 12 and g?
84
Let n = -12 + 17. Suppose 2*c - 85 = n*w - 3*c, 0 = -4*w - 2*c - 68. Calculate the common denominator of -19/10 and ((-18)/(-4))/((-6)/w).
20
Let p = -276 - -286. Calculate the least common multiple of 65 and p.
130
Let l(i) = -6*i - 51. Calculate the least common multiple of 6 and l(-31).
270
Suppose 4*f + 81 = 5*r, -3*f + 7*f - r = -77. Let b = -37 - -40. Calculate the lowest common multiple of (-1)/b + f/(-3) and 16.
48
Let a(v) = -v + 8. Let h be a(6). Suppose -11 = -h*u + 3*r, -11 = -3*u + 3*r - 4*r. Let o = u + 3. What is the least common multiple of 7 and o?
7
Let c = -20 - -27. Suppose 0 = c*t - 12*t + 55. Calculate the smallest common multiple of t and 5.
55
Suppose -139 = -4*r - c, 6*r - 3*r - 87 = 5*c. Calculate the common denominator of 29/4 and 5 + 0 + r/(-48).
24
Find the common denominator of (-8177)/3120 - -12 - 9 and -33/8.
240
Let g(m) = 17*m - 149. Let i(r) = 4*r - 37. Let h(v) = 2*g(v) - 9*i(v). Calculate the smallest common multiple of 19 and h(12).
209
What is the common denominator of -2*((-114)/(-21) - 2) and ((-54)/(-28) - 2)*-3*20?
7
Let u = -8854 + 88661/10. Find the common denominator of 23/12 and u.
60
Let h(c) = -21*c**2 + 2*c + 2. Let b be h(-1). Let v(w) = -58*w**2 - 9*w - 9. Let p be v(-5). What is the common denominator of -69/8 and p/b*6/64?
16
Calculate the common denominator of 47/11 and (-441)/378 - 226/(-330).
110
Let q = 939 + -930. What is the smallest common multiple of 81 and q?
81
Let l(g) = -g**2 - 8*g - 9. Let x be l(-5). Suppose -2 + 8 = x*y. Calculate the lowest common multiple of 7 and y.
7
Let f = -8881/1972 - -303/58. Calculate the common denominator of f and -89/20.
340
Let p(a) = -523*a + 1585. Calculate the least common multiple of p(3) and (-4)/(-14) - (-52)/14.
16
What is the smallest common multiple of 4 and ((-18)/(-6))/(45/2760)?
184
Suppose -2*g + 3*i = -308, -474 = -3*g + 5*i - 12. Calculate the least common multiple of 126 and g.
1386
Let g be (6 - (-872)/(-180))/(-1 - 1). Let t = g + 13/9. What is the common denominator of t and -40/33?
165
Suppose 10 = -5*u, 5*l + u - 2*u = -203. Let o = -29 - l. What is the smallest common multiple of (2/(-4) - -1)/(56/672) and o?
12
Let k be 2/(-7) - 370/(-70). Suppose -k = 4*f - h, 2*f + 3*h + 19 - 6 = 0. What is the smallest common multiple of 20/(-6)*6/f and 1?
10
Suppose 237 + 63 = 4*c. Let p = c - 71. What is the least common multiple of p and 30?
60
What is the common denominator of -52/3 and (-2908)/(-704) - (0 + 10/(-55))?
48
Let x be 0 + -3 + 1 - 3. Let p = -4 - x. What is the common denominator of 52/9 and 115/50 + (-4)/p?
90
Let h(m) = 2*m**2 - m - 35. What is the lowest common multiple of 100 and h(5)?
100
Let l(s) = -5*s + 2. Let t be l(-4). Let g = 17 - 5. Let n = t - g. What is the least common multiple of 10 and n?
10
Suppose 8*t = 4*i + 4*t - 52, 0 = 4*t - 20. Let u(k) = 0*k**3 - 3*k**3 + 2*k**3 + 8 - 47*k - 16 + 26*k**2. Calculate the least common multiple of i and u(24).
144
Let d = 13268 - 132789/10. Calculate the common denominator of d and -143/6.
30
Let l(g) = 2*g**3 + 2*g**2 + 53*g + 33. Calculate the lowest common multiple of (4/(-6))/((-2)/36) and l(0).
132
Let d = -34 + 61. Calculate the lowest common multiple of d and 33 + 0*8/(-17 - -1).
297
Let i = 96 + -61. Calculate the common denominator of 226/(-12) - i/7 and 21/8.
24
What is the common denominator of (6/12 - -2)*(-146)/190 and 2 - 1 - (-161)/(-18)?
342
Let b = 7 - 13. Suppose -f + 2*t + 1 = -19, f - t = 16. What is the least common multiple of 108/16 - b/(-8) and f?
12
Let j be ((-34)/(-8))/((-1)/4). Let b(p) = -p**2 - 16*p + 25. Suppose -o - 23 = -2*o. Calculate the lowest common multiple of o and b(j).
184
Let b(r) = 9*r**2 + 6*r - 39. Calculate the smallest common multiple of 12 and b(5).
216
Suppose -4*m + 10*o - 1730 = 5*o, -m - 424 = 3*o. Let g be 66/27*(1 - -173). Let h = m + g. What is the common denominator of h and 9/11?
33
What is the common denominator of (456/(-684))/(8/102) and -109/276?
276
Suppose r - 5*h = 120, 0 = -8*h + 3*h - 10. Calculate the smallest common multiple of r and 30.
330
Let a(z) = 2*z**2 - 10*z + 29. What is the common denominator of a(3) and -50/11?
11
Suppose -2*u - 135 = 3*w - 6*w, 5*w + u - 238 = 0. Suppose -2*c + w + 51 = 0. Find the common denominator of ((-90)/(-49))/((-28)/c) and 1/10.
70
Suppose 5*f - 119 = -3*r, -4*r - 2*f = -7*f - 147. Let p = 10 + 10. Calculate the smallest common multiple of p and r.
380
Let i = -12388817/78 - -3408095/13. Let j = -104028 + i. Let l = 721 + j. Calculate the common denominator of -127/6 and l.
6
Let k = 1099/60 - -1/60. Let z = -6923 - -90002/13. Calculate the common denominator of z and k.
39
Let a be (20/(-6))/(11/33). Let v = 18 + a. What is the smallest common multiple of 22 and v?
88
Let j = 676 - 711. What is the common denominator of -45/674 and j?
674
Let p be ((-516098)/(-10))/((-36)/(-10)). Suppose 3*d - 56465 + 13436 = 0. Let x = p - d. What is the common denominator of 149/12 and x?
36
Suppose 5*u = 3*o + 145, -u + 6*u - 45 = o. Calculate the common denominator of ((-212)/o)/(16/20) and -16/7.
70
Let o = -1433 - -14261/10. What is the common denominator of o and 51/55?
110
Let x be (4/(-10))/(2/(-5)). Calculate the common denominator of 107/20 and x + -2 + (-163)/(-12).
60
Let k(i) = i**3 + 22*i**2 + 3*i + 18. Let r be k(-22). Let g = -30 - r. Calculate the smallest common multiple of g and 6.
18
Let x(c) = c**2 + 2*c - 11. Let l be x(5). Let z be 8/l + (-97)/3. What is the common denominator of ((-18)/z)/(2/(-8)) and -52/5?
20
Let d be 2 + -1 - (-1 + 0). Suppose d*o - 98 = -5*u, -u - u + 16 = -5*o. Let k = 0 + 8. Calculate the smallest common multiple of u and k.
72
Let d(g) = -g + 2 + 0 - 8 + 3*g. Let v be d(7). Suppose -v = -t + 2*h, 5 = -5*h - 10. Calculate the least common multiple of t and 16.
16
Let s = 3437/8 + -424. Find the common denominator of s and 101/10.
40
Let m = 131/6 - 13. Find the common denominator of m and 109/14.
42
Let a be 3/12 - (-29079)/(-20). Let x = -1456 - a. Find the common denominator of x and 457/42 - (-2)/7.
30
Suppose -72 = -18*b + 9*b. Calculate the least common multiple of 20 and b.
40
What is the common denominator of -1 + 1776/(-1746) - -2 and -89/15?
1455
Let n = -14102 - -310303/22. Calculate the common denominator of n and -37/2.
22
Suppose 96*u - 87*u = 99