 Suppose -7 - 9 = -2*d. What is the least common multiple of d and j?
16
Let o = -6 - -29. Let l be (-12)/(-32) - 55/40. Let n = o + l. What is the smallest common multiple of n and 22?
22
Let g be (-2)/(-2) + -3*90935/(-120). Suppose -n + 9122 = 4*f, f - 3*n - n = 2289. Let p = f - g. What is the common denominator of p and 41/10?
40
Calculate the common denominator of (0 - 6/(-64))/(918/5100) and 49/66.
528
Let a = 26 - 21. Suppose -a*b = -b - 3*x - 64, -64 = -4*b - 4*x. Calculate the least common multiple of b and 8.
16
Suppose -2*u + 93 = 77. Calculate the smallest common multiple of u and 24.
24
What is the common denominator of (9/6)/(4/5) and 85*1*4/8?
8
Let n = -16 - -20. Calculate the smallest common multiple of (-7 + -2)/(36/(-192)) and n.
48
Let n = 88 - 70. What is the least common multiple of n and (15/(-2))/(1/(-4))?
90
Let t = 130669759/819 + -1116915/7. Let q = 123/13 + t. Calculate the common denominator of -4*(13/(-6) - -2) and q.
9
Let o be ((-33)/2)/((-6)/72). Let n = -6359/5 - -1276. Find the common denominator of n and 0/(-3) + o/(-16).
40
What is the common denominator of 41/8 and 14/21*(-1053)/65?
40
Let w(z) = z**3 - 8*z**2 + 7*z - 4. Let s be w(7). Let a = -1429 + 4244/3. Calculate the common denominator of (-105)/18*s/18*3 and a.
9
Let f(o) = -2*o + 5. Let k be f(-5). Let a(v) = v**3 - 15*v**2 - v + 14. Let r be a(k). Calculate the common denominator of r - (0 - (-238)/12) and 47/3.
6
Let x = -4 + 9. Suppose 36 = -o + x*o. Suppose -5*s - 58 = -3*b, 60 + 12 = 5*b + 4*s. Calculate the least common multiple of b and o.
144
Suppose -5*z - 44 = -4*y, 2*z - 6*z - 64 = -5*y. Let j(v) = -v + 17. Let d be ((-8)/12)/(2/(-21)). What is the least common multiple of j(d) and y?
80
Let i = -12497/35 - -311. Let b = -468/35 + i. Let t = b - -63. Calculate the common denominator of t and 61/10.
70
Let m = 2 - 3. Find the common denominator of ((-5)/(-50))/(m/59) and (-36)/30 - (-1704)/(-280).
70
Suppose -111 = -84*k + 57. Suppose 2*f = 3*f - 10. What is the lowest common multiple of k and f?
10
Suppose 0*n + 36 = -2*n. Let z = 4/299 + -6590/897. Find the common denominator of n and z.
3
Let a(d) = d + 44. Let x be a(-12). Suppose -2*l = -3*r - 9, -5*l - r + x = r. What is the least common multiple of 15 and l?
30
Let b = 16 + -19. Let u be 3/(-1*(-2)/60). Calculate the common denominator of u/(-28) - (b + 7) and -23/2.
14
Let i = -1/146004 + 2287469/10658292. Find the common denominator of -107/12 and i.
876
Suppose -226*p + 40 = -225*p. Calculate the lowest common multiple of 415 and p.
3320
Let n = 7 - -7. Let h = -9837 - -9847. Calculate the smallest common multiple of h and n.
70
Suppose -3 = -q, 0 = 5*b + 4*q - 12 - 45. Let j(a) = -b*a + 5*a + 3*a + 18. What is the lowest common multiple of 4 and j(7)?
44
Find the common denominator of -97/24 and -5 + 707/252 + 3.
72
Suppose -2*q = 5*b - 31, -3 = 5*b - q - 40. What is the lowest common multiple of b and 2?
14
Suppose -3*n + 2*k = -1, 21*n - 20*n + 13 = 4*k. Calculate the smallest common multiple of n and 349.
1047
Let r be 30/(-6)*(5 + -2). Calculate the common denominator of (r/(-270))/((-2)/110) and 3/22.
198
Let w(c) = 2*c - 15. Let o be 1*19 - ((-16)/(-1))/4. Calculate the least common multiple of 7 and w(o).
105
Find the common denominator of (36/96)/(-3 + 158/44) and -55/234.
468
Let a be 2/(-6) - 4/(-1 + -11). What is the common denominator of 2 and -2 - a - 368/40?
5
Suppose 2*t + s + 5 = 0, 3*t - t = -4*s - 20. Suppose -2*r + t*r = -16. Suppose 2*j + 11 = 3*j. Calculate the lowest common multiple of j and r.
88
Let k = 24063 + -132466814/5505. Let v be (20 - 24) + (-55018)/(-176160). Let f = k + v. What is the common denominator of f and 89/8?
16
Let v be (-75 - -5)/((-24)/278). Let q = v + -813. What is the common denominator of 7 + (-91)/2 - 10 and q?
6
Let x be (1/78)/(6/(-421)). Let i = 7/156 - x. Find the common denominator of 12/96*292 - 6 and i.
18
Let t = 8 - 10. Let j(i) = i + 2. Let n be j(t). Let a = 4 + n. What is the least common multiple of a and 6?
12
Suppose -159*m + 137*m = -176. Let s(v) = -14*v. Calculate the least common multiple of s(-5) and m.
280
Let a be 30*((-21)/(-6) - 3). Suppose 3*d = a, m + 2*d + 0*d - 11 = 0. What is the smallest common multiple of (m - 42/9)*-3 and 7?
77
Calculate the smallest common multiple of 380/114*(-156)/(-5) and 8.
104
Let x = 190 - 67. Calculate the lowest common multiple of 24 and x.
984
Let o = 23/25 + -449/450. Find the common denominator of 41/9 and o.
90
Suppose 69 = 3*j - 4*d, -4*j - j + 3*d = -115. Suppose 9*c - 34 = -223. Let l = c + j. What is the lowest common multiple of 4 and l?
4
Suppose -3*r + 7*r = 12. Suppose -r*y - 12 = -3*k, y - 4*k = -y - 10. Let b = 8 + y. Calculate the least common multiple of 8 and b.
40
Let b(i) = -i**2 - 3*i + 10. What is the lowest common multiple of 8 and b(-4)?
24
Let d = -4213/3 - -1384. Find the common denominator of 64/279 and d.
279
Let h(m) = -m - 3. Let t be 2/(-7) + (-66)/14. Suppose -29*f + 33*f - 20 = 0. What is the lowest common multiple of f and h(t)?
10
Let j = 365 + -321. Calculate the least common multiple of 12 and j.
132
Find the common denominator of 17/14 and 6 - -3*2010/(-1008).
56
Let l = -339127227/5 - -37507468870/553. Let v = 3/553 + l. Find the common denominator of v and -68/3.
15
Suppose o + 3*o - 680 = 0. Calculate the least common multiple of 119 and o.
1190
Calculate the common denominator of 3/(-21) - (25041/(-8400))/17 and -83/16.
400
Let l = -686357/415038 - 2/15963. Let r = l - 531/13. Calculate the common denominator of -37/5 and r.
10
Suppose 8*u - 3 = 3*u + 3*m, -4*u - 3 = 3*m. Suppose -6*a + 8*a - 4 = u. What is the smallest common multiple of 3 and a?
6
Suppose 14 - 74 = -3*j. What is the smallest common multiple of j and 10?
20
Let j be 2 + (1 - (3 - 2)). Suppose -10 = j*h - 54. Find the common denominator of -2 - 12/22*-2 and h.
11
Let d be ((-1)/2)/((-7585)/(-4)). Let z = 432353/30340 + d. Find the common denominator of (-64)/128*(-23)/(-2) and z.
4
Let h be 4 + (-1082802)/2152 + 0. Let t = 24/269 - h. Let p = t + -509. Calculate the common denominator of -99/14 and p.
28
What is the least common multiple of 0 + -1 + 2 + 43 and 44?
44
Suppose 6 - 2 = d. Suppose -2*u = 2*m - 30, -5*u - d*m = -2*u - 49. Calculate the least common multiple of u and 1.
11
Let t be 3 - -2*(-6)/4. Suppose t = -3*n - 0*n, n - 1750 = -5*v. Find the common denominator of ((-30)/28)/((-36)/v) and 85/22.
132
Let i = 606 - 529. Calculate the smallest common multiple of i and 70.
770
Calculate the smallest common multiple of (1/(-2))/((-1)/18) and 7 + (-1)/(-3 + 4).
18
Let q(c) = c**2 - 4*c - 8. Let t be q(6). What is the common denominator of (-6)/t - 11/30 and (-625)/175 - -1*3/1?
105
Let z be 4/(-6) + (-10)/(-15). Let w = -381/44 + 35/4. Calculate the common denominator of 76/18 + z + -1 and w.
99
Let z be (-3)/(-1*(-3)/(-5)). Suppose -z*t + 360 = -210. Calculate the common denominator of t/28 - -4 - 3 and 55/24.
168
Let b = -115 + -25. Calculate the common denominator of (615/b)/(3/(-2)) and (0 + -20)*(-3)/(-16).
28
What is the common denominator of -2 - (5 + 2 - -104)/(-40) and 95/92?
920
Let w = -277 - -1051. Let z = -1497/2 + w. What is the common denominator of 75/8 and z?
8
Let p(c) = -c**3 - 40*c**2 - 40*c - 32. Calculate the least common multiple of 29 and p(-39).
203
Let r be (-5 + -1)/2 - (-12)/6. What is the common denominator of (r/4)/(15/940) and (4/10)/((-16)/205)?
24
Calculate the common denominator of -77/144 and (1658/(-24) - -2)*(-18)/(-675).
720
Let r(n) = 5*n - 30. Let y be r(10). Suppose 152 = 3*a - 2*v, -2*v - v + 58 = a. Calculate the least common multiple of 25/y*(1 + 15) and a.
260
Let m = -18 + 84. Suppose -c - 2*c = -m. What is the smallest common multiple of ((-132)/(-15))/((-4)/(-10)) and c?
22
Let i(m) = -48*m**3 - 2*m**2 - 2*m - 1. Let a be i(-1). Suppose -2*h + a - 3 = 0. Suppose 117 = 7*j - 23. Calculate the smallest common multiple of j and h.
220
Let w = -195 + 206. Suppose -4*z = -q - 8, 2*q + 2 = z - 0*q. Calculate the smallest common multiple of w and z.
22
Suppose 40 = 3*k - 80. What is the common denominator of (-5)/k*130/(-1) and 25/4?
4
Suppose 5*s = -5*w + 105 - 15, 0 = 4*s - 8. Calculate the least common mult