 o, 3*r = 5*b + 2*r - 1138. Find the common denominator of 23/8 and (2/(-3))/(32/b).
8
Suppose -2*g + 4*m = -728, -3*g + 2*g + 5*m = -364. What is the lowest common multiple of 14 and g?
364
What is the common denominator of -91/132 and (1 + 2/(-4))*115/(-322)?
924
Suppose -4*g + 104 = -0. What is the smallest common multiple of g and (-1 - (-3)/2)/((-840)/(-5040))?
78
What is the lowest common multiple of (-1 + -201)*27/(-54) and 10?
1010
Suppose -2*d + 5*d - 74 = 4*x, -3*d + 2*x = -70. Suppose -4*q - d = -46. What is the smallest common multiple of 27 and q?
54
Let k = 98 + -44. Suppose -5*l + 3*z + k = 0, -8 = -2*l - 3*z + 1. Calculate the least common multiple of l and 7.
63
Let m(d) = d**3 - 15*d**2 - 37*d + 56. Let z(g) = g**3 - 3*g**2 + 2*g - 1. Let v be z(2). What is the lowest common multiple of m(17) and v*-1*11*1?
55
Find the common denominator of 51/22 and (65805/(-53300))/((-24)/(-10)).
2288
Let g(a) = -6*a + 1. Let o be g(-1). Let d be o + -3 + 0 - 0. Find the common denominator of d/(-18)*(-1308)/32 and -19/4.
12
Let u = 5 - -15. Let p be (-412)/(-12) - 3/9. Let j = p - 12. Calculate the smallest common multiple of j and u.
220
Let v(f) = f**3 - 5*f**2 - 2*f + 16. Let b be v(7). Suppose -a + 36 = 3*j, -j = -4*a - 2*j + b. Calculate the smallest common multiple of 32 and a.
96
Let t = 8/515 + 34473/2060. What is the common denominator of t and (-99)/12 - 0 - 1?
4
Calculate the common denominator of 8/(-20)*318/(-24) and -89/14.
70
What is the least common multiple of 32 and 13/78 + (-501)/(-18)?
224
Suppose 2*m + 64 = -4*d, -4*d + 2*m - 118 = -38. What is the common denominator of (4/d + (-60)/(-27))/12 and -29/5?
30
Let d(r) = r**2 - 12*r - 63. What is the smallest common multiple of 9 and d(16)?
9
Let f = -62 + 80. Calculate the common denominator of 5/16 and -107*1/f + 10/(-30).
144
What is the common denominator of 2 and -4 + 5 + 303/72*2?
12
Let z be 1 + 1 - (3 - 6). Suppose 4 = c, -z*v = -0*v - c + 4. Calculate the least common multiple of 11 and v - (-8)/2*2.
88
Let u(k) = -11*k**3 - 2*k**2 - 6*k - 7. Let m be u(-2). Suppose 2*b = -57 + m. Calculate the lowest common multiple of 87/9 + 2/(-3) and b.
126
Find the common denominator of 30/(-27) + (-2265)/(-216) and -37/453.
3624
Let v = -1325 - -21187/16. Let u = 11 - 20. Calculate the common denominator of u/12*218/21 and v.
112
Let c(x) = x**3 - 40*x**2 + 3. Calculate the smallest common multiple of (-7)/4*2*-2 and c(40).
21
Find the common denominator of -123/40 and 492/(-1170) + 0 - 2/(-13).
120
Suppose -2*r + 0*r + 2*u = 27158, -u = -2*r - 27163. Let o = r - -135721/10. What is the common denominator of o and -97/6?
30
Calculate the lowest common multiple of (-14)/14 + 3 + 0 and (9 - 2)*(-1 - -3).
14
Let j(t) = t**3 - 10*t**2 + 3*t - 10. Suppose 3*y + 2*y + p - 55 = 0, -y + 4*p = 10. Calculate the least common multiple of 8 and j(y).
40
Suppose d + 0 = 5*g - 9, -d + g + 3 = 0. What is the least common multiple of d and -7*25/(1575/(-108))?
12
Suppose 31 = -4*s - 89. Suppose -2*q + 4*j + 108 = 0, 4*q - q - 4*j = 160. Let f = q + s. What is the smallest common multiple of 6 and f?
66
Let c = -8695/8 + 1087. Calculate the common denominator of c and -10/37.
296
Let t = -14147/6 - -2340. Find the common denominator of 14/453 and t.
906
Suppose -2*b + 2067 = 12379. Let h = b + 30833/6. Let g = 9574 + -95659/10. Calculate the common denominator of g and h.
30
Let d = -6165 + 8847. Let t = d + -26787/10. Calculate the common denominator of t and -25/24.
120
Let n(k) = k**3 - 8*k**2 + 5*k + 16. Let r be n(7). What is the common denominator of -53/46 and r - -3*194/(-120)?
460
Suppose 332*p = 336*p - 140. Calculate the smallest common multiple of p and 20.
140
Suppose -520*w + 5 = -525*w. Find the common denominator of w and ((-105)/9)/(4/(-6)).
2
Let w = -107531647/18 - -5959493. Let v = w - -14479. Find the common denominator of v and -111/20.
180
Suppose -18 = -3*l - 6. Calculate the common denominator of -13/5 and 0/(l/1) - (-87)/(-12).
20
Suppose 0*b + 5*q - 59 = -2*b, 0 = -5*b - 3*q + 119. Let p = -4 + 18. Suppose -6 = -t + p. What is the smallest common multiple of t and b?
220
Let i = -40 - -34. What is the common denominator of (128/(-40))/(i/(-10)) and -1/21?
21
Let v = -13 + 13. Suppose 21 = -3*l - 3*y, l + v*l - 5*y = 23. Let c(m) = -9*m. What is the smallest common multiple of c(l) and 4?
36
Let v = 1880 + -1049. Let s = -9135/11 + v. Find the common denominator of s and (1 + (1 - -3))*(-24)/(-144).
66
Suppose 2*v + v - 6 = 0. Suppose -5*m + 2*j = -1, -2*j + 7 = v*m + m. Calculate the smallest common multiple of m and 1.
1
Suppose -3*l - 2*l + 90 = 0. Suppose -128*g + 12 = -127*g. What is the lowest common multiple of l and g?
36
Let y be 2334/(-189) + (-8)/36. Let f = y - -78/7. Find the common denominator of f and -47/14.
14
Let z be (8/12)/((-2)/(-6)). Suppose l - z*l = -2. Calculate the lowest common multiple of l and 11.
22
Let i be 2/(-8) - 89/(-4). Suppose -3*y + 5*q - 2*q = -27, -2*q = -3*y + i. What is the smallest common multiple of 3/(-9) - (-68)/6 and y?
44
What is the common denominator of -47/36 and (-8)/(-12) + (1268/(-432) - -3)?
108
Find the common denominator of (-35446)/(-16058) + (-4)/62 and 4/77.
77
Suppose -202*a = -196*a - 630. What is the least common multiple of a and 189?
945
Let x = -9 - -10. Calculate the common denominator of 3*51/45*x and -19/3.
15
Suppose 277 = 6*s - 143. Suppose 21*o = 26*o - s. Suppose 0 = 2*f + 3*f - 80. What is the lowest common multiple of f and o?
112
Suppose 3*f - x - 215 = -2*f, -5*x = 25. Calculate the lowest common multiple of 30 and f.
210
Suppose -5*s = -5*b - 85, -5*b - 6 - 13 = -2*s. Calculate the least common multiple of s and 12.
132
Let l(d) = -d - 4. Suppose 8*u + 22 = -18. Calculate the least common multiple of l(-6) and 38/2 - (u + 2).
22
Suppose 5 = 2*v - 7. What is the smallest common multiple of v and (20/(-25) - -2)*(-80)/(-12)?
24
Let w = 242 - 239. Suppose g + g = 5*m - 5, 2*m = -2*g + 16. Calculate the smallest common multiple of m and w.
3
What is the common denominator of -13/63 and ((-8)/40)/((-27)/(-111))?
315
Let t be 2/4 - 11/(-2). Suppose 6*x = 2*x + 5*w + 12, -2*x + 5*w = 4. Suppose -a + t = -x. Calculate the smallest common multiple of 14 and a.
14
Let g be 586763601455/2436 - (-2 + -1). Let k = -240871755 + g. Let i = 3/406 + k. What is the common denominator of 89/22 and i?
132
Suppose 3*p + 16 = 2*l - 3, 2*p = -5*l. What is the least common multiple of l and 19?
38
Let f = -664 + 682. Calculate the smallest common multiple of 150 and f.
450
Let v be (21/12 - 2)*(-8)/2. What is the smallest common multiple of 28 and 49 + (-2*(-6)/4)/v?
364
Suppose 0*d - 10*d = -30. What is the common denominator of ((-322)/575)/((-2)/(-10)*d) and -73/24?
120
Calculate the common denominator of -107/100 and -4*(-3)/(-78) + (-2214)/(-1040).
200
Suppose -2*r = -4 - 2. What is the lowest common multiple of (-9)/(54/12) + 7 and r?
15
Suppose -6 = -5*u - k + 2, 0 = 3*k + 6. What is the common denominator of 21/16 and (1 + 453/36)*-1 + u?
48
Let t = -53 - -316/7. Suppose z + 0*z - 3*g - 6 = 0, 0 = -z - 3*g. Find the common denominator of t and (-436)/(-220) - z/(-15).
77
Suppose 4*y - 735 = -3*y. Let w = y - 83. Calculate the lowest common multiple of 10 and w.
110
Suppose 5*x - 3*g = 55, 0*x - 5*x - g = -35. Suppose x*c - 4*c - 3*q - 78 = 0, 2*c + 2*q - 32 = 0. Find the common denominator of 2/3*(-1)/18 and c.
27
Suppose -f + 4*f + 15 = 0, 392 = -v + 5*f. What is the common denominator of 1 - v*3/(-270) and -103/24?
120
Let n be 1 - 0 - (0 + -1). Suppose -y - 9 + 3 = 0. Calculate the common denominator of -37/5 and n/2*129/y.
10
Find the common denominator of -43/39 and (((-28)/(-8))/7)/(90/12).
195
Suppose 0 = 3*t - 4750 - 2849. Let i = -15283/6 + t. Calculate the common denominator of i and 31/22.
66
Suppose 3*v - 12 = 18. Suppose -4*g = -v*g - 150. Calculate the common denominator of g/(-15)*(-285)/(-80) and 71/22.
176
What is the lowest common multiple of 442 and 93 - (0/11 + 2)?
3094
Let v be (3/4)/(6/(-24))*-2. What is the least common multiple of 24 and 1/v - 717/(-18)?
120
Let a(i) = -120*i - 7. Let k be a(20). Let b = 28811/12 + k. Find the common denominator of (-50)/(-32)*6/2 and b.
48
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