36593/23620 + -2/5905. Let i = -4573532/10101 + 19554/259. Let h = i + 1142/3. Find the common denominator of p and h.
52
Let x be ((-1)/((-64)/30))/(189/(-5236)). Let q = -73/9 - x. Calculate the common denominator of 1 - ((-2)/(-6))/(-1) and q.
24
Suppose 18330 = -40*f + 87*f. What is the lowest common multiple of f and 21?
2730
Let t = -83247/64 - -1300. Find the common denominator of -63/872 and t.
6976
Let f(y) = y**3 + 29*y**2 - 34*y - 56. Calculate the lowest common multiple of 576 and f(-30).
576
Find the common denominator of (-9 + 182/20)/2*(-65)/18 and -13/576.
576
Let w(d) = -d**2 - 6*d + 12. Let f be w(-9). Let y be (1/(-2))/(f/30). Let q(t) = 17*t**3 + t. What is the lowest common multiple of q(y) and 24?
72
Let y(p) = 3 - 3 - 7 - p + 12. Let j be y(0). What is the smallest common multiple of (4 + 16)*2/j and 12?
24
Let a = -15/254 - 1094/1905. Let s = 2647/7 + -8002/21. Find the common denominator of a and s.
210
Suppose -3*l = 5*i - 38, -l = -2*i - 3 - 17. Let z(k) = -k**3 - 8*k**2 + 6*k + 4. What is the smallest common multiple of z(1) and l?
16
What is the common denominator of -1 - (-118)/(-14) - (26 + -33) and 1 + 1 + (-63)/41?
287
Find the common denominator of 47/504 and -3 - 5 - (2 - (-159)/(-16)).
1008
Let b(i) = i**3 - 10*i**2 - 22*i - 28. Let x be b(12). What is the common denominator of 57/8 and 1/(-6)*x - (-105)/(-819)?
104
Let u = -49 + 89. Suppose -3*h = -7*h + u. Let q(n) = 11*n**3 + n - 1. What is the lowest common multiple of h and q(1)?
110
Let a be (2 - 2310/32)*(12 + 2). Let q = 990 + a. Calculate the common denominator of 57/54*21/(-2) and q.
24
Let a = -1372 - -150867/110. Calculate the common denominator of 31/242 and a.
1210
Let n = -268 - -548. Suppose 2*v + 5*m = -13, 71*m + 12 = -3*v + 66*m. Calculate the least common multiple of (v + 0)*4 + n/10 and 6.
96
Suppose 0 = 2*u + 4*l - 624, -5*l - 634 = -2*u - 7*l. What is the lowest common multiple of 184 and u?
1288
Let q be (88/(-5))/4 + (-4)/(-10). Let o = 1781/6 + -9641/33. Find the common denominator of 0 + 169/12 + q and o.
132
Let h = 357 + -267. What is the smallest common multiple of 13 and h?
1170
Let v be 18430/(-75) + (-4)/(-150)*5. Let n = 5197/20 + v. Find the common denominator of (2/75)/((-1)/(-20)) and n.
60
Let b = 702 - 702. Suppose b = -9*v - 7*v + 1232. Calculate the smallest common multiple of 88 and v.
616
Suppose 114 + 27 = 10*h + 61. What is the least common multiple of 24 and h?
24
Let b = 2767/9 - 82823/270. Calculate the common denominator of b and -103/152.
20520
Suppose 3*j = 19*j - 176. Suppose 423 = j*h - 721. What is the least common multiple of h and 6?
312
Suppose 2437 = -10*c + 7397. Let h = 528 - c. What is the lowest common multiple of 28 and h?
224
Suppose -m + 28 = 29. Let g be (0 - 0)*m/(-18)*6. Suppose -o + 0*o + 8 = g. Calculate the least common multiple of o and 19.
152
Suppose 6*d - 440 = -16*d. What is the smallest common multiple of d and 2*9/12*(-24)/(-9)?
20
Let d = -50467/7552185 - -8/1227. Let j = 621643/73860 - d. Calculate the common denominator of j and -37/24.
24
Let j = -12982 - -194779/15. Calculate the common denominator of 143/30 and j.
30
Let q(a) = -a**3 - 5*a**2. Let w be q(-7). Let p = w + -93. Suppose 0 = -m + 5*g - 0*g + 11, -4*g - 34 = -p*m. What is the smallest common multiple of 6 and m?
6
Let i(h) = -h**2 + 4*h + 16. Let o be i(-3). What is the smallest common multiple of 3 and (-58)/o - 63/105 - 1?
30
Let q = -31 + 28. What is the least common multiple of (14/12*2)/(q/(-18)) and 15 - 1*(-1)/1?
112
Let s be 1/(-3) + (-362692)/(-231132). Let n = -6/103 - s. Find the common denominator of 13/3 and n.
51
Let n = -6261 + 8841. What is the lowest common multiple of 5 and n?
2580
Let z = 713 + -703. What is the least common multiple of z and 498?
2490
Let y = -21 - -37. Let x(g) = 9*g**2 + 6 - 2*g**2 - 3*g + 5*g - 5*g**2. Calculate the smallest common multiple of y and x(3).
240
Calculate the least common multiple of 1*(-2)/3*-9*(-442)/(-12) and 143.
2431
What is the common denominator of (19 - 4565/66)*-2*1/(-70) and -2*2/(-16) + (-198)/(-300)?
300
What is the least common multiple of 308 and 4*2*(-4655)/(-380)?
2156
What is the common denominator of 1269/2360 + (17 - 1218/70) and 15/826?
3304
Let d(t) = 4*t**3 - 3*t**2 + 4*t - 6. Suppose 7 + 9 = u. Let m = u + 22. What is the lowest common multiple of d(2) and m?
418
Let q(b) = -b**3 + 3*b**2 - b. Let m be q(2). Suppose m*u - 3*u + 24 = 0. What is the lowest common multiple of u and 12 + 20 + -1 + -1*3?
168
Let k(m) = m**3 + 19*m**2 - 19*m + 28. Let u be (-3)/(78/40 + -2). Let g be ((-75)/u)/((-2)/(-32)). What is the smallest common multiple of k(g) and 33?
264
Let s be (-1009743)/(-45) + 30/20. Let k = s - 22437. Calculate the common denominator of 181/30 and k.
30
Let z(i) be the third derivative of i**4/24 - 13*i**3/6 + 13*i**2 - 2*i. Calculate the smallest common multiple of 10*2 - (0 - -2) and z(33).
180
Suppose 0 = 40*q - 36*q + 3856. What is the common denominator of -1 + 6/8 + q/(-240) and 181/60?
60
Suppose 17 = -2*r - 2*d + 353, r - 5*d - 180 = 0. Calculate the least common multiple of r and 204.
1020
Suppose 3*q - 48 + 122 = 2*o, -3*o + 12 = 0. What is the lowest common multiple of (-12)/22*q/2 and 852?
852
What is the common denominator of 1/44 and (-44)/((-162800)/21575) + 12/(-2)?
1628
Let x = -78 - -377/4. Let h = -491/32 + x. Let y = 322/27 - 1097/54. Calculate the common denominator of y and h.
288
Let s = 675860569/1364 - 495499. Calculate the common denominator of s and -67/20.
6820
Let d(q) = q**3 + 12*q**2 - 4*q - 8. Suppose 0 = -7*v + 2*v + 120. Calculate the smallest common multiple of d(-12) and v.
120
What is the common denominator of 2012/(-480) + 4 + 0*4/16 and 103/264?
1320
Let w(a) = -2*a**2 + 33*a - 16. Let d be w(16). Suppose -2*h + d*h - 52 = 2*t, 2*h + t = -56. What is the common denominator of 53/6 and h/(-13) - 4 - -1?
78
Let q = 92912320/17 - 5468086. Let x = q + 107105/136. Let s = x - -1860. Calculate the common denominator of -67/8 and s.
8
Let a = 22 - -8. Calculate the least common multiple of (a/5)/(21/28) and 10.
40
Let x = 1050 - -646. Calculate the least common multiple of x and 2.
1696
Suppose 2*d = 4, 0 = 3*k - d - d + 2194. Let s = -520 - k. Calculate the smallest common multiple of 14 and s.
210
Let n be 3*-2 - 0/(-3). Calculate the common denominator of -3 + 15 + ((-78)/117 - (-17)/12) and ((-9)/196)/(n/124).
196
Suppose 5*i = 3*g + 9, -2*i = -4*g + 4 - 2. What is the common denominator of g/(-6)*(-16704)/4096 and -25/32?
64
Suppose -30*x + 26*x = 4*g - 408, 3*x - 5*g - 330 = 0. Suppose -5*z = -20*z + x. What is the lowest common multiple of 64 and z?
448
Let h(x) = x**2 - 8*x - 9. Let y be h(-6). Find the common denominator of (15/20)/(4/((-2680)/y)) and -77/128.
640
Suppose 0 = l + 3*d + 12, -5*l + 2*d + 3 + 5 = 0. Suppose l*w - 10*w = -100. What is the least common multiple of w and 22?
110
Let v = -14/29 + -770/87. Suppose 15 = -5*d - 0. What is the common denominator of v and d/(-5) + (-952)/(-105)?
3
Suppose 10*w = 15*w + 5*o - 15, -2*w + o = -3. What is the common denominator of w/(-18)*(-481)/(-52) - -1 and -29/3?
36
Find the common denominator of (-3)/(-10) - (-21177)/(-7240) and 37/236.
472
Suppose -3*s - 2*s = -5*v - 210, 5*v = 2*s - 219. Let w be 1425042/v*((-11503)/5752 - -2). Let o = 32/719 - w. Find the common denominator of o and -11/8.
40
Let b be (5/((-175)/(-60595)))/260. Let s = b + 33/260. Let c = -3842/7 + 547. What is the common denominator of c and s?
14
Let g = 12856 - 12836. What is the least common multiple of 3315 and g?
13260
Suppose -23*b - 160*b + 102114 = 0. Calculate the smallest common multiple of b and 465.
2790
Let y = -41291 - -1238611/30. Find the common denominator of (-59)/(-42) - (11 + -9) and y.
210
Suppose 0 = -133*x + 149*x - 10176. What is the lowest common multiple of x and 78?
8268
Suppose -w - u - 7808 = 0, -u + 0*u = -w - 7814. Let a = -16281/2 - w. Let g = a - -5217/16. Calculate the common denominator of 15/8 and g.
16
Let w be (-129)/(-2) - (-8)/(-16). Let o = w - 20. Suppose 18 = 9*h - 0*h. Calculate the smallest common multiple of o and h.
44
Let t = -328613/20 + 16433. Calculate the common denominator of t and -37/1415.
5660
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