hat is the common denominator of (-5)/40 + 1611/7512 and -77/4?
1252
Let z = -30 - -530. Suppose -3*o + z = 2*o - 5*x, -5*o + 497 = -2*x. Calculate the smallest common multiple of o and 22.
198
Let c = -30298 + 30302. What is the smallest common multiple of 3873 and c?
15492
Suppose -11737 = 2*i + 11167. Let v = 458179/40 + i. Find the common denominator of 101/8 and v.
40
Suppose -1 = 2*b - 9. Suppose 2*a - 6 = -3*v, 5*a = -b*v + 16 + 13. Let h = -1465 - -1466. Calculate the lowest common multiple of h and a.
9
Let q = 2320/11 - -629/22. Let h = q - 280. Let f = -10/6837 - 785975/191436. Calculate the common denominator of h and f.
28
Let s = -10883 - -21291. Let z = s + -125041/12. Find the common denominator of 109/18 and z.
36
Suppose 0 = -2*o - 10, -2*n = 3*o + o + 18. Let f be n*3*920/(-60). Let h = f - -54. What is the lowest common multiple of h and 9?
72
Suppose 0 = x - 41 - 49. Let n be ((-1894)/(-4))/(-2 + -1 - (-33)/4). Let j = n - x. Find the common denominator of -67/6 and j.
42
Let x be 2 - (-3 + 57587281/(-4620)). Let y = -98605/308 + x. Let c = 12151 - y. Find the common denominator of 25/9 and c.
90
Suppose 0 = -5*m + 15, -2*j + 548 = m - 415. Calculate the smallest common multiple of j and 300.
2400
Let j be (-13 - -920) + 4/(-8)*0. Let p = j - 14503/16. What is the common denominator of 59/26 and p?
208
Let s = -16/5053 + -17739/5568406. Find the common denominator of s and 25/4.
2204
Suppose 0 = -51*n + 53*n + 3*a - 29, -14 = 2*a. Let p = 12 - 2. What is the least common multiple of p and n?
50
Let d be (-6)/(-7)*56/12. Suppose d*m - 20 - 32 = 0. Calculate the least common multiple of (-3)/(-3) + m - 3 and 24.
264
Let m be (28/8 - 4)*-1*4. Suppose m*h - 34 = -28. Calculate the common denominator of ((-49)/(-5))/(h/(-20)*-4) and 79/51.
51
Let w = -115123/377 + 4011/13. Let q = -287/522 - w. What is the common denominator of -55/56 and q?
504
Let f = 4682 + -4678. Let i(n) = 5*n**3 - 2*n**2 + 2*n. Calculate the least common multiple of i(2) and f.
36
Let m = 17053 - 16709. What is the smallest common multiple of 72 and m?
3096
Let f(o) = 31*o**2 + 180*o + 65. What is the smallest common multiple of f(-6) and 202?
202
Suppose 0 = -5*d - t + 61, -30 = d + t - 43. Calculate the lowest common multiple of 2998 and d.
17988
Let u = -21751/27303 - -31/38. What is the common denominator of u and 137/6?
2874
Calculate the least common multiple of 90 and (6/(-10) + 3318/(-1470))/(2/(-721)).
9270
What is the common denominator of (-112)/126 + 825/(-4752) and 89/20?
80
Let y = -7088 - -7100. Calculate the least common multiple of y and (-9)/(-6) - (-202)/4.
156
What is the least common multiple of (1 - (-74)/6)/((644/(-42))/(-23)) and (24/20)/(1/335)?
4020
Let r = -4/11123 - 555538/1701819. What is the common denominator of -97/4 and r?
612
Suppose 0*v = -2*v + 20. Let t be -1 - (-145)/v*2. Suppose 5*x = 98 - t. Calculate the least common multiple of x and 2.
14
Suppose -130482 = -285*k + 307*k. Let o be (462593/(-91))/((-12)/14). Let m = k + o. Find the common denominator of m and -5/6.
78
Suppose -8*m = 42*m - 51900. What is the lowest common multiple of m and 9?
3114
Let d = -157 + 409. Suppose 0 = -15*t + 6*t + d. Calculate the lowest common multiple of 6 and t.
84
Let d = -828965/42 + 19736. Find the common denominator of 0 - -298*(-1)/(-84) and d.
42
Suppose -2*a + 4 = -0*a. Suppose 5*q - 56 = -a*q. What is the smallest common multiple of q and 4?
8
Let j(z) = z**2. Let n = -15 - -18. Suppose -2*q = -7*q + u + 134, 4*u + 158 = 6*q. What is the lowest common multiple of j(n) and q?
27
Let g = 22787/345 + -1398/23. Find the common denominator of (-82)/6*(-36)/84 and g.
105
Let d = -1341728/17 + 78948. Let t = 23115/1088 - d. Calculate the common denominator of t and 71/44.
704
Suppose 36*a = 42*a + 864. Calculate the common denominator of 31/10 and a/(-18) + 78/(-10).
10
Let h(t) = 9*t**2 - 9*t - 6*t**2 - 2 - 5*t**2. Let i be h(-4). Suppose p = 3 + i. Calculate the least common multiple of 29 and p.
145
What is the common denominator of 494/(-2470) - (-5)/(-72) and 17/600?
1800
Suppose 2*s - 72 = -2*s + 2*c, 0 = 5*s + 5*c - 120. Let n = s - 31. Let u(h) = -3*h - 27. Calculate the least common multiple of 8 and u(n).
24
Suppose -20 = 3*w + 5*c, -3*w + 6*w + 4 = -c. Suppose -3*n + 4*u + 122 = -2, w = 2*n - u - 81. Calculate the smallest common multiple of 35 and n.
280
Suppose 3*i - 2100 = -2*i. Let c = 2922/7 - i. Let r = -6917/9 + 776. What is the common denominator of c and r?
63
Let w(s) = s**2 - 12*s - 8. What is the lowest common multiple of 94 and w(14)?
940
Let i = -18 + 22. What is the common denominator of 518/(-84)*i/6 and 6/(-9) - (553/(-294) + -2)?
126
Suppose -3*t - 1 = -v - 5, -35 = -4*v - 5*t. Suppose -v*b = -2*b - 144. Calculate the smallest common multiple of b and 66/8 - 21/84.
48
Find the common denominator of 83/1134 and -2 + (-11 - -5) + 5955/729.
3402
Suppose -12 = 4*i + 2*y, -i + y = 2 + 1. Let p = 251 + -242. What is the common denominator of (132/(-28))/(i/3) and p?
7
Let h(f) = 3*f - 7. Let u be h(3). Suppose 10 = -u*b + 14. What is the common denominator of -23 and ((-3)/b + 2)/(74/68)?
37
Suppose -14*h + 120 = -8*h. Let f(c) = -84*c - 1505. What is the least common multiple of f(-18) and h?
140
Let u = 45 + -50. Let a be u + 11 - (4 - 1 - 2). Calculate the common denominator of (a - 84/16) + 234/112 and -69/2.
56
Let p(i) = 4*i - 7. Let w be p(0). Let f be (-7 - w)/(0 - -2). Suppose 0*m + m - 2*u - 34 = f, -4*m + 4*u = -140. What is the least common multiple of 24 and m?
72
Let t(k) = -110*k - 8670. Suppose -m - 3*m = -56. What is the lowest common multiple of t(-79) and m?
140
Calculate the common denominator of 141/(-1175) - 129176/(-1137300) and -17/21.
79611
Let p = -2 + 4. What is the common denominator of (-10)/6 + (-2)/87*651/(-6) and p/(-7) - 842/42?
87
Let c = 6655/489024 - 71/5184. Let t = c + -1306471/1604610. What is the common denominator of t and 32/21?
210
Let s = 19 - 10. Let j(c) = 21 + 2*c + 3*c - 3*c - 3*c. What is the lowest common multiple of 22 and j(s)?
132
Suppose -v - 4 = 3*v, p - 4*v - 8 = 0. Suppose 3*b = -2*h - 2*h + 53, 0 = 4*b - h - 39. Suppose 72 = b*x - 82. What is the smallest common multiple of x and p?
28
Suppose 2*m + s = 52, 17*s + 29 = m + 19*s. Let i = -315 - -340. Calculate the smallest common multiple of m and i.
25
Let t = 373/560 - 51/80. Find the common denominator of 2/8*186/5 and t.
70
Calculate the lowest common multiple of (2 + 118)*2/4 and 4/2 + 156/702 + (-8)/36.
60
Let f = 5828 + -5608. Calculate the lowest common multiple of f and 220.
220
Let h be (-2)/7 + 272/(-28). Let q(v) = v**2 - 2*v + 2. Let i be q(2). What is the least common multiple of (-54)/(-30)*h/(i - 4) and 8?
72
Let x = -4592/3 - -1518. Suppose -9 = 3*g, -3715 = 5*i + 5*g - 11680. What is the common denominator of x and 2/(-8) - (0 + i/(-432))?
9
Suppose b - 6*b = -23*b. Suppose b = -4*g + 5*j + 3 + 10, 2*g - 2*j - 6 = 0. Calculate the lowest common multiple of g and 5.
10
Let z = 5 + -9. Let s = z - -37. Suppose -128*i - 144 = -144*i. Calculate the smallest common multiple of s and i.
99
Let v be 0/(((-130)/78)/(5/(-3))). Suppose -5*l + 5*j + 130 = 0, 130 = 5*l - v*l - 2*j. Calculate the least common multiple of 1 and l.
26
Let q(n) = 85*n**3 - 7*n + 6. Let i = -128 + 130. Suppose -8*a = -6*a + 10, 3*a + 13 = -i*p. What is the least common multiple of 4 and q(p)?
84
Suppose -27*u + 23210 + 3659 = -27131. Calculate the smallest common multiple of 44 and u.
22000
What is the common denominator of (14/84)/(10206/2295) and 113/810?
11340
Let n = 27567 + -827071/30. What is the common denominator of n and 83/780?
780
Let w(g) = -g**3 - 12*g**2 - 11*g + 15. Let x be w(-11). Find the common denominator of (14 - 17) + (-34)/(-44) and (-642)/x*2/(-16).
220
Let p be ((-7556)/(-1100))/(((-54)/5)/(-9)). Let s = 8/33 + p. Calculate the common denominator of s and 62/33.
330
Let q(t) = t**3 - 6*t**2 + 2. Let v be q(6). Let g(n) = 10 - 15*n + 10*n - n**2 - v. Calculate the least common multiple of g(-6) and 20.
20
Let d be 160/48*2*(-12)/(-16). Calculate the least common multiple of 416 and d/(-45) + 1267/63.
2080
Let a be ((-1)/(11/8993))/(-36 + 37). Let x = a + 3265/4. Calculate the common denomin