 + (-45)/(-2) and 12?
132
Let b = 1470 - 2488. Let o = 8519 + b. Let s = o + -75073/10. What is the common denominator of s and 41/4?
20
Let o = -672/419 + 125333/101398. Calculate the common denominator of o and -3/8.
968
Let k = 39 + -57. Let v = -12 - k. Suppose v*i = 4*i + 10. What is the smallest common multiple of i and 11?
55
Suppose 25*r + 2*c - 74 = 23*r, 0 = 3*c + 9. What is the least common multiple of r and 44?
440
Let z be -4 - (-20)/12*3. Let l(x) = -19*x. Calculate the common denominator of 9/28 + 1/4 and l(z).
7
Suppose -h + 21 = q - 3*h, 4*q - 69 = 5*h. Let r be (-18)/(-5) - 6/(-15). Let l = 6 - r. Calculate the smallest common multiple of q and l.
22
What is the common denominator of ((-15)/(-6)*-50)/12 and 53/5?
60
Let k(t) = t**3 + 49*t**2 - 53*t - 166. Let o be k(-50). Let c be 15/(-2)*(-4)/(-3). Let y = c - o. What is the lowest common multiple of 10 and y?
30
Let q(u) be the first derivative of u**4/4 + 2*u**3 - 2*u**2 - 7*u + 18. Calculate the least common multiple of 8 and q(-6).
136
Let s = 34 - 31. Suppose 2*k + 3*t = 7, 2 + 11 = 2*k - s*t. Calculate the smallest common multiple of 25 and k.
25
Let g be (-8)/20 - (-48)/(-5). Calculate the lowest common multiple of (-5 - -6 - -2)*g/(-3) and 18.
90
Suppose 5*r - 45 = y + y, -5 = y. Let z(q) = q**3 - 7*q**2 + 3*q + 13. Calculate the lowest common multiple of z(r) and 12.
204
Suppose 5*p + 2*h = 4*p + 40, 0 = 3*p + 2*h - 100. Let q = 1550 - 1538. What is the least common multiple of q and p?
60
Let m(d) = -d**3 + d + 1. Suppose 0 = 3*i + 4*i - 161. Calculate the least common multiple of i and m(0).
23
Let l be 1/4 - 706/(-120). Let s = 232104 + -6962479/30. Let p = l + s. What is the common denominator of -29/22 and p?
22
Let x be -1 + 25/(-140)*29. Let c = x + 52/7. Find the common denominator of c and -45/2.
4
Calculate the smallest common multiple of 15 and 89 + -39 + (-10)/2.
45
Let n = -624 + 750. Calculate the lowest common multiple of n and 54.
378
Let b(g) be the first derivative of -g**2/2 + 5*g - 4. Suppose 0 = -4*r - 3*z + 41, -3*z = -5*z + 6. What is the lowest common multiple of b(-5) and r?
40
Suppose 2 = 3*q + 5*b - 6, 5*q = 5*b + 80. Let s = -1 + q. What is the lowest common multiple of (-1)/((-66)/308*2/3) and s?
70
Let h = 969188/39 - 24853. Calculate the common denominator of h and -55/21.
273
Let c = 7740 + -232013/30. Calculate the common denominator of c and -109/12.
60
Let i = -1154/3 + 376. Find the common denominator of i and (-2 + 1)/(5/((-385)/(-8))).
24
Suppose -5*b + 96 = -0*b - 2*w, 9 = -3*w. Let v = 30 - b. Suppose h = -3*s + 9 + 1, -4*s = -4*h - 24. Calculate the smallest common multiple of s and v.
12
Suppose 18 = 6*g - 6. Suppose -10*f + 64 = g. What is the smallest common multiple of 22 and f?
66
Let h = 325 - 295. Calculate the smallest common multiple of 495 and h.
990
Let w(f) = f**2 - f + 1. Let t be w(2). Calculate the common denominator of (3/(108/4))/(1/(-111)) and 0/3 - 26/t.
3
Suppose 2*d = -3*u + 16, 4*d - u = -0*d + 4. Let h = 40 + -35. Suppose 2*x = 5*g - 54, 42 + 4 = h*g + 2*x. Calculate the smallest common multiple of d and g.
10
Suppose 8*k + 7*k - 45 = 0. Suppose 4 = b + b. What is the least common multiple of b and k?
6
Suppose 2 = b - 3*y + 11, -4*b - 5*y + 32 = 0. Suppose -b*a - 108 = -6*a. What is the least common multiple of 22 and a?
396
Calculate the common denominator of ((-1)/((-14)/20))/(36/84) and 17/148.
444
Let l = -39 + -69. Let h = l + 114. Calculate the least common multiple of h and 10.
30
Suppose 6*g - g = 0, -f - g + 10 = 0. Let w be (1548/f)/(3/(-240)). Let u = 247737/20 + w. Calculate the common denominator of 89/12 and u.
60
Let s = 31555 - 43640563/1383. Let r = s + 45619/13830. Let g = -4175/11 + 376. Find the common denominator of r and g.
110
Let j = 7/60 + 13/210. What is the common denominator of 119/18 and j?
252
Calculate the common denominator of 2/(-8) - 2/(-5) and (5 + 1044/96)*(-8)/6.
60
Let k = -902 + 959. Calculate the smallest common multiple of 19 and k.
57
Suppose -17 = v + 4*f, -4*v - 3*f + 4*f = -17. Suppose -v*y = y - 136. What is the least common multiple of 20 and y?
340
Suppose -129 = 19*k - 16*k. Let r = 49 + k. Calculate the lowest common multiple of 26 and r.
78
Let n(z) = -42*z - 82. Calculate the smallest common multiple of 46 and n(-2).
46
Let y = 131/200 + -72/25. Find the common denominator of y and 103/40.
40
Let c(i) = -i**3 + 8*i**2 - 3*i. Let q be c(7). Let u = -17 + q. Suppose -4*z + 17 = 3*r, -5*z + 5*r - 20 = -15. What is the lowest common multiple of z and u?
22
Let n(y) = -31*y + 24*y**2 - 28*y**2 - 9*y**2 + 22 + y**3. Calculate the lowest common multiple of 4 and n(15).
28
Let d be 3*-1 - (30/(-6) - -8). Let w(m) = 4*m + 25. Calculate the lowest common multiple of 3 and w(d).
3
Calculate the common denominator of 77/20 and (8/(2*-48))/((-62)/(-198)).
620
Suppose -o - 5*a + 19 = 0, o + 2*o - 43 = -a. What is the smallest common multiple of o and 42?
42
Let v = -15 - -9. What is the smallest common multiple of 18 and (4/v)/1*-21?
126
Suppose -5*g - 225 = 375. What is the common denominator of -22/9 and (-1)/(-4) + (-482)/g?
45
Let g = -447 - -4878/11. Calculate the common denominator of -1/229 and g.
2519
Let v be ((-4)/(-6))/(66/97803). Let l be (-4 + 8 - -6)*197/2. Let g = v - l. Find the common denominator of 55/9 and g.
99
Let w(y) = y**3 + 2*y**2 - 3*y - 3. Let p be w(-2). Suppose p*m = 6*m. Let c = 22 + m. What is the least common multiple of 18 and c?
198
Let o = 17886 - 214751/12. Let t = 4313/6 + -21749/30. What is the common denominator of t and o?
60
Let x = -44 - -19. Calculate the least common multiple of 16 and (-4 + x/(-5))*4.
16
Let b = -204 - -2419/12. Let c = -4149 - -273877/66. What is the common denominator of c and b?
132
Let s = 1092/4063 + 57874641/40630. Let a = 1429 - s. Let j = -9671/6 + 1616. Find the common denominator of a and j.
30
Suppose 0 = -39*t + 433 + 347. Calculate the least common multiple of 134 and t.
1340
Let w = -9 + 45. Suppose 0 = -4*h - 0 + w. Calculate the least common multiple of 3 and h.
9
Let t be ((-18)/(-676))/(15/(-2240)) - -4. Let q = -8929/1183 - t. Let p = -5260 - -105257/20. What is the common denominator of p and q?
140
Let v be (57/(-12))/(6/(-120)). What is the common denominator of 107/6 and (15/(-10))/(1 - 62/v)?
66
Let t be 2 + 32806/(-7) + (-4 - -1). Let u = t - -4680. Calculate the common denominator of -23/14 and u.
14
Suppose -5*b + 182 + 28 = 0. Let z(n) = -2*n + 105. Find the common denominator of b/8 - (0 + -2) and z(59).
4
Let w(b) = -4*b - 9. Let p be 3 + 0 + 9 + -15. What is the lowest common multiple of w(p) and 77?
231
What is the least common multiple of 10 and 140608/884 + (-3)/51?
1590
Suppose 0 = -8*x + 9*x - 15. What is the common denominator of ((-1188)/160)/(6/(-8)) and (-171)/x + 8/2?
10
Let k(d) = d**3 + 9*d + 5. Calculate the lowest common multiple of 85 and k(0).
85
Let b be 1 + -5 + 3 + 7. Let g(p) = p**3 - 7*p**2 + 6*p + 3. Let j be g(b). What is the common denominator of -35/4 and (j/21 - 0)*-31?
28
Let y be (78/(-15))/(2/160). Let c = y + 686. Find the common denominator of 111/10 and c/(-36)*(-38)/12.
20
Let u be (3 - 4/2)*(-4 + 3). Calculate the common denominator of 476/(-28)*(u/(-21) - 0) and -5/21.
21
Let a(f) = -35*f - 728. What is the lowest common multiple of a(-21) and 165?
1155
Let t = -35531/8996 - 4/11245. Find the common denominator of t and -33/10.
20
Calculate the common denominator of 51*(-1)/112 + (-73)/(-511) and (-1)/(-2) - 21/(-11).
176
Let b(x) = -24*x - 4. Let w = 7 + -9. Calculate the least common multiple of 28 and b(w).
308
Suppose 3 + 13 = 2*w - m, 4*w - 3*m = 30. What is the least common multiple of w and 27?
27
What is the common denominator of -16/185 and (-5904)/(-3696) + (16/(-14) - -1)?
2035
Suppose 2*c - 19 = -1. Let t(i) = -6*i - 4. Calculate the lowest common multiple of t(-4) and c.
180
Suppose -476 = -7*c - 7*c. Calculate the lowest common multiple of c and 11.
374
Let m(k) = -4*k + 12. Let b(q) = -2*q + 6. Let x(o) = 5*b(o) - 2*m(o). Let j = 18 + -6. What is the least common multiple of j and x(-9)?
24
Suppose 3 = -5*n + 3. Let p(r) = -6*r + 21. Calculate the lowest common multiple of p(n) and 21.
21
Let g = -14 + 22. Calculate the