v = 497 + -492. Calculate the common denominator of 43/58 and (189/336)/((-3)/4) + v.
116
Let w(f) = 1088*f - 5432. Suppose -y - y = 0. Suppose y = 5*m - 8 - 37. What is the lowest common multiple of m and w(5)?
72
Let u(t) = 4*t - 15. Let q be u(4). Suppose w + 2*y = 0, 5*w + 5*y - 4 = q. Suppose -w*b + 90 = b. Calculate the least common multiple of b and 2.
30
What is the least common multiple of 3 + (-100)/35 + 32186/49 and 511?
4599
Let i be (-2)/5 + (-23)/(-2). Let a = i - 3733/330. Calculate the common denominator of a and (4378/(-105))/11 + 5 + 27/(-5).
231
Let s = 38756 - 28601995/738. Calculate the common denominator of s and -28/123.
738
Let w = 330 + -156. Let p = 264 - w. Let y = 33 - 13. What is the smallest common multiple of y and p?
180
Let w(r) = 2*r**2. Let v be w(1). What is the lowest common multiple of (-54)/(-24 - -12 - -10) and v*(2 + -3) - -26?
216
Let i(f) = 22*f - 172. Let a be i(8). Calculate the common denominator of -101/164 and (-12)/(-144)*414/a.
328
Let f(r) = 4*r**2 - 18*r. Let y be f(5). Suppose -3*b = -3*l - 18, 3*l + 15 + y = 4*b. Calculate the smallest common multiple of b and 98.
98
Let n(t) = -2*t**2 + t + 4. Let p be n(-2). Let x(y) be the second derivative of -2*y**3/3 - 4*y**2 - y + 2. Calculate the lowest common multiple of x(p) and 6.
48
Suppose -5*q - d = -1021, -77*q + 80*q - 5*d - 607 = 0. Calculate the lowest common multiple of q and 27.
1836
Suppose -3*k - 16648 = z - 4*k, -3*z + 5*k = 49940. Calculate the smallest common multiple of 4 and z/(-99) + -8 + 2/(-11).
160
Let m = 39 + -17. Let i be (-20)/50 - m/(-5). Suppose 0 = 3*u + 5*w - 16, 0 = -i*u + 5*w + 33. What is the smallest common multiple of u and 2?
14
Let m = -9681 - -9825. What is the least common multiple of m and 144?
144
Let i = 14 + -14. Find the common denominator of 347/(-120) - 4/10 and (-4)/(-198)*(-91 + i + -2).
264
Calculate the common denominator of 2570/(-3084)*(-173)/(-1100) and -169/3300.
6600
Let j be ((-5)/(-10))/(4/(-8)). Calculate the common denominator of 61/(-6) - (j + 7) and -22/123.
246
Let s(o) = -3148*o**2 + 8*o + 7. Let v be s(-1). Let g = v + 66146/21. Calculate the common denominator of g and (1/(-18))/(5/213).
210
Let m(h) = -19*h + 275. Let i(b) = 7*b - 92. Let u(c) = 11*i(c) + 4*m(c). Calculate the least common multiple of 60 and u(4).
1380
Let s = 110 - 302. Calculate the common denominator of (30*(-6)/s)/6 and 87/4.
32
Let o = 282 + -270. Find the common denominator of -13/36 and (-55)/(-24)*(-3 - (-45)/o).
288
Let k(b) = -b - 2 + 78*b**2 - 27*b**2 - 24*b**2 - 21*b**2. Suppose 10 = -3*i + 4*i. Calculate the lowest common multiple of i and k(2).
20
Calculate the common denominator of (160/(-48))/(42/(-23) - -2) and -41/2.
6
Let f = 46 + -33. Let w(i) = -2053 + 1021 - 12*i - 2*i**2 + 0*i**2 + 1024 + 3*i**2. Calculate the lowest common multiple of 4 and w(f).
20
Let c(b) = -3*b + 55. Let h be (42/4)/(-7)*(-32)/3. Let d be c(h). Suppose 23 = d*t - 5. Calculate the least common multiple of t and 6.
12
Calculate the common denominator of 149/282 and 21865/(-77550) - 48/(-176).
1410
Suppose -5*l - c + 324 - 18484 = 0, -3*c = 15. Let s = 6993/2 + l. Let f = 125 + s. Find the common denominator of f and -41/2.
2
Calculate the common denominator of (7/(-21))/((-17264)/1488) and 40/143.
11869
Let g(d) = 20*d**2 - 111*d + 42. Calculate the smallest common multiple of g(7) and 35.
245
Let s = 6739/4095 - 1/819. Find the common denominator of s and 97/270.
270
Let h = -2/241 - -23863/482. What is the common denominator of -95/332 and h?
332
Let r = -26235 + 287339/11. Let j = r - -114. What is the common denominator of j and 9/4?
44
Let v be (-57863)/6 - ((-3)/18)/(-1). Let x = v + 520735/54. Calculate the common denominator of x and 125/12.
108
What is the common denominator of (-3423)/245 - 42/420 - -7 and (-26)/(-42) + (-3)/12?
84
Let q(i) = -56*i + 1. Suppose -43 = -5*x + 4*a, 0 = 7*a + 2*a - 7*a + 14. What is the least common multiple of q(-1) and x?
57
Let o(b) = b**3 + 11*b**2 + b - 7. Suppose 4*w + j = -25, -4*w - 4*j - 37 = -7*j. What is the smallest common multiple of 16 and o(w)?
1456
Calculate the common denominator of 106/(-255) + (-1)/(-3) and (-171 - -174)*((-2180)/72)/5.
510
Let t(x) = 5*x**2 - 15*x + 4. Let o be t(3). Suppose 0 = -11*d + 15*d - 5*y - 961, y + 941 = o*d. Calculate the smallest common multiple of 12 and d.
468
Suppose -5*r + 780 = 3*z - 745, 3*z + 589 = 2*r. What is the least common multiple of 9 and r?
2718
Let q be 1 + 4 + -4 + 1. Suppose 5*t - 294 = -74. What is the smallest common multiple of ((-8)/q - -1)*t/(-6) and 6?
66
Suppose -3419*i + 48174 = -3345*i. Calculate the smallest common multiple of 56 and i.
5208
Let z = 56 - 51. Suppose 4*j - z*s + 2545 = 0, -3*s + 0*s + 3 = 0. What is the common denominator of 89/8 and 1*j/210 - 1?
168
Let t = 448 - 446. Calculate the lowest common multiple of (-33)/(4 + -5) - (t - 2) and 33.
33
Suppose 4*g = 11 + 1, 4*s - 29 = 5*g. Let i(b) = -b**3 + 4*b**2 + 4*b + 9. Calculate the lowest common multiple of s and i(5).
44
Suppose 8*o - 36 = 4*o. Let h = -80319/2086 - -4/1043. Find the common denominator of h and o.
2
Let p = 535 - 530. Find the common denominator of ((70/49)/p)/((-18)/(-434)) and 50/27.
27
Suppose 24*t - 21*t - 36 = 0. What is the least common multiple of ((-110)/(-15))/((-3)/(-9)) and (-32)/(-96)*t/1?
44
Let o(z) = -49*z**2 - 2*z + 4. Let x be o(6). What is the common denominator of (1164/(-117) - -10)*(-2628)/(-48) and 2/7 + x/224?
104
Let a = 308 + -367/2. Let r = 1017/8 - a. What is the common denominator of 83/8 and r?
8
Find the common denominator of 16/219 and ((-6)/4*832/31317)/(-1).
2409
Let m(t) = 2*t**2 + 2*t - 3. Let v = -1425 - -1455. Calculate the least common multiple of m(-4) and v.
210
Let s = 92413/12 - 7706. Let j be (-803)/66*34/106. Let y = -120/53 + j. Find the common denominator of s and y.
12
Let k = -15925 - 40895. Let f be 32583/(-14)*(-102)/k. Let m = f - 3/4735. What is the common denominator of m and 63/16?
112
Let i be ((-218919)/30 + 0)/(17172/30). Let n = -2/1431 + i. Let u = 53 - 21. Calculate the common denominator of n and u.
4
Suppose 2*l + 6 = 0, -4*g - 8 + 3 = -5*l. Suppose -417*j = -382*j - 245. Calculate the smallest common multiple of j and (-8)/4 + g/(-1).
21
Let s = -1579 + 2643. What is the smallest common multiple of s and 1368?
9576
Let k(r) = -r**2 + 29*r - 40. Calculate the smallest common multiple of 176 and k(5).
880
Calculate the common denominator of (-16 + 93/6)*1 - (-73)/(-10) and -43/12142.
60710
Suppose 0 = -2*q + 12 - 6, -186 = -3*v + q. Let f = v + -48. What is the least common multiple of 6 and f?
30
Let c(p) = p**3 + 30*p**2 - 42*p - 311. Suppose 1 = -3*y + 10, -2*y + 498 = 2*o. Calculate the smallest common multiple of o and c(-31).
1230
Let i = -129953/24 - -5421. Calculate the common denominator of i and -97/324.
648
Calculate the smallest common multiple of 185 and (15 + 864/(-60))/(2/((-20)/(-2))).
555
Let q be (-45)/2*(-60)/(-75)*-1. What is the least common multiple of ((-25)/(-10) - q/(-4))*2 and 3?
42
Suppose 31*b = 1640 + 2080. What is the smallest common multiple of b and 135?
1080
Suppose 5*r - 14 = 66. Suppose -4*c - r = 0, 3*c + 115 = 3*x - 86. What is the lowest common multiple of x and 21?
63
Let u(d) = -2*d - 76. Let z be u(-39). Let l(w) = 5*w + 6. Let h(c) = 2*c**2 - 3*c + 3. What is the lowest common multiple of h(5) and l(z)?
304
Suppose 10*d + 54*d = 3555776. Let v = 2444707/44 - d. Find the common denominator of (-38)/(-264) - 4/6 and v.
44
Suppose -233 - 247 = -6*a. Suppose -z = -g + 81, -5*g + 7*z - 4*z = -403. What is the lowest common multiple of a and g?
80
Let z = -4630096 - -59468952919/12844. Calculate the common denominator of 8/3 and z.
38532
What is the common denominator of 8/3 and (7 - 4)*((-187372)/(-23472) - 8)?
1956
Suppose -5*m - v + 27 = 0, -5 = -2*m + 3*v - 1. Calculate the common denominator of ((-8)/(-168))/(m/(-39)) and 26/25.
175
Let r(f) = 2286*f + 32. Let n be r(-8). Let j be 5 - 3 - -2*125526/n. Let p = j + 2/1141. Find the common denominator of -50/9 and p.
36
What is the common denominator of -8/65 and ((-33)/(-45))/(-6 - 328/(-54))?
130
What is the lowest common multiple of 33*17 - (101 + -109) - -1 and 285?
570
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