 of u and 18.
72
Suppose -185 = 2*n - n. Let l be (0 + (n - 3))*-1. What is the common denominator of 6/(-2) + 4*118/l and 97/10?
470
Suppose -121*u + 453626 = -10*u - 120022. Calculate the lowest common multiple of 6 and u.
15504
Suppose -4*x = -5*x - 2, -v + 17 = x. Let q be (-3 + v/6)/((-2)/16). Let k = q - 1/6. Find the common denominator of k and 63/16.
16
Suppose 0 = -31*z + 28*z - 105. Let j = 38 + z. Suppose n = -7*b + 4*b + 12, -4*n = 0. Calculate the lowest common multiple of j and b.
12
Find the common denominator of 47/483 and (15/(-5750))/(-6 - 7488/(-1230)).
9660
Suppose 3*r + 11 = 71. Suppose 0 = 5*t - 5*h - r, 0*t + 3*t - 5*h = 16. Calculate the least common multiple of 89 and t.
178
Suppose 2*p = -1 + 9. Suppose -p*b = -0*b - 12. Find the common denominator of ((-15)/10)/(b/89) and 29/14.
14
Calculate the common denominator of (4 - (-15)/3) + (-8)/((-1920)/(-1895)) and 34*(-1 - (-6)/16).
48
Let b = 18 + -3. Let q(z) = z**3 + 6*z**2 + 5*z - 11. Let d be q(-4). Calculate the least common multiple of (116/(-232))/(d*1/(-60)) and b.
30
Suppose 0 = 2*a + 2011 - 311. Let w = 125/2 + -593/10. Calculate the common denominator of w and a/(-48) - 11/(-88).
30
Let c(r) = -14*r - 124. Let z be c(-9). Suppose 0 = 3*m + 2*h - 60, -80 = -z*m - 2*m - 3*h. What is the lowest common multiple of m and 4?
20
Suppose 12 = -8*r + 6*r. Let t = -10649/16 + 667. Calculate the common denominator of 143/r*3*(-2)/(-18) and t.
144
Let p = 16825 + -302771/18. Calculate the common denominator of p and -149/1308.
3924
Let r(c) = -c**3 + 5*c**2 - 2*c - 2. Let p be r(4). Let x = 112687/12 - 9402. Calculate the common denominator of x and (0 - 2/p) + (-437)/171.
36
Let f be (63/9)/(2/4). Let d be -4 - (-846)/63 - (-8)/f. Suppose -k - d = -22. Calculate the least common multiple of k and 6.
12
Let p(d) be the first derivative of -d**3/6 + 15*d**2/2 - 13*d + 5. Let b(i) be the first derivative of p(i). Calculate the least common multiple of 1 and b(6).
9
Suppose -2*r + 4*r + 72 = 0. Let z = r + 35. Calculate the lowest common multiple of 24 - ((z - -4) + -7) and 4.
28
Let d = 13 + -7. Suppose -d*w - 12 = -24. Let t(u) = u**2 + 4*u + 2. Calculate the least common multiple of w and t(-4).
2
Suppose 3*y + 3*b - 39 = 0, 12 = 3*y - 4*b - 6. Suppose 74 + y = 3*p. What is the lowest common multiple of 12 and p?
84
Suppose -440 = -100*o + 315 + 45. Let r(h) = h - 3. Let q be r(10). Let y = q + -3. Calculate the lowest common multiple of o and y.
8
Let k = -749280883/1710 - -438176. Calculate the common denominator of k and -49/270.
5130
Suppose 3*c = c - 3*t + 4635, -9265 = -4*c - 5*t. Let z = -20752/9 + c. Find the common denominator of z and 41/6.
18
Let i = 33 - -5. Let z be 51385/(-10100)*68/i. Let a = z + 8/1919. Find the common denominator of 125/12 and a.
60
Find the common denominator of -41/353 and ((-3)/147)/((-14)/(-441)).
4942
Let d(t) = t**3 - 7*t**2 - t + 7. Let c be d(7). Let r = c - 0. Suppose 2*l + 0*j + 2*j = 16, r = -l - 5*j. Calculate the least common multiple of l and 2.
10
Suppose 0 = l + 3*y - 249, 1161 = 5*l - 6*y + 7*y. What is the lowest common multiple of 189 and l?
2079
Let h = 107/71754 + 10185372455/143508. Let o = -72204 + h. Let j = 1237 + o. Find the common denominator of 68/3 and j.
12
Let r = 1269 + -1261. What is the lowest common multiple of r and 5*3/(9/6)?
40
Let v = -423634584/833 + 508565. What is the common denominator of v and -59/42?
4998
Let s be -2 - (-1 - 3) - -4. Calculate the smallest common multiple of ((-140)/30)/(3 - 60/18) and 32/s - 12/(-18).
42
Let q = -2/44391 - 5371271/887820. Let h = q - -7/4. Calculate the common denominator of h and 65/176.
880
Suppose -3*t = 4*o - 128, -22*o = 5*t - 18*o - 224. Calculate the least common multiple of t and 688.
2064
Suppose -4 - 104 = -2*z. Let k(x) = 111*x + 16353. Calculate the least common multiple of z/4*8/3 and k(-147).
36
Let l = 17 + -14. Suppose -75 = -l*v + 15. Calculate the lowest common multiple of v and 2.
30
Let j be (-2)/3 + (-1718)/12. Let o = j + 155. Let z = 55 + -877/16. Calculate the common denominator of z and o.
48
Suppose -5*o + 4*m = -100, 2*o = -2*m + 14 + 8. Let z be (-198)/o*8/(-100)*5. Let y = -37/40 - z. What is the common denominator of -97/36 and y?
72
Let x = -91 + 35. Let h = x - -68. Suppose -d + 4*w = -9 - h, 0 = 3*d - 2*w - 13. Calculate the least common multiple of 1 and d.
1
Suppose -450 = -0*g - 5*g. Suppose 0 = -3*h + 5*j + 25 + 84, 2*h + 5*j - 56 = 0. Calculate the least common multiple of h and g.
990
Suppose -9 = 112*n - 115*n. Let m = 24 + n. What is the least common multiple of m and 21?
189
Let w be ((-20)/15)/((-126876)/18). Let g = 370001/285471 + w. Find the common denominator of g and 23/21.
189
Let c = 9 + -5. Let o = c - -5. Suppose -2*t - 6*q = -16, -78*t + 40 = -73*t - 3*q. What is the lowest common multiple of o and t?
72
Suppose -2*s + 0*y + 8 = 4*y, 2*y = 2*s - 2. Calculate the least common multiple of 5*9/30 + (-7403)/(-22) and s.
338
Let z be 2/(13/((-2483)/(-2))). Suppose 5*f = -2*k + z + 1261, 2*k = f - 300. What is the lowest common multiple of 22 and f?
3212
Calculate the common denominator of 143/972 and ((-18)/42*(-6)/(-99))/((-27)/7).
10692
Let a = 5510075 - 99294359/18. Let v be (-22)/(2280/(-1142) - -2). Let w = a - v. Find the common denominator of w and 1/28.
252
Let t be 2/6*(-1582985)/(-2850). Let j = -185 + t. What is the common denominator of 29/9 and j?
90
Let f = -229 + 397. Suppose f = 6*x + x. Let d = x - 20. What is the least common multiple of d and 12?
12
Suppose 131*r + 211*r = 29256 + 87024. Calculate the lowest common multiple of 204 and r.
1020
Let p = -17 - -161. Suppose x - 6*x + p = -2*h, 0 = -x + 4*h + 18. What is the lowest common multiple of 12 and x?
60
Suppose -493 - 123 = -4*w. Let s = w + -149. What is the lowest common multiple of s and 6?
30
Let d be ((-1)/(-2))/((-3)/(-108)). Calculate the common denominator of ((-1092)/(-8190))/((-8)/(-246)) and ((-10)/d)/(12/9).
60
Let w = 4987/475732 - -2/5171. What is the common denominator of 93/230 and w?
460
Let o(u) = -9*u**3 + 4*u**2 - 3*u - 1. Let b be o(2). What is the common denominator of -2 and (-25)/9*(-6 + b/(-14))?
6
Calculate the common denominator of 11 + 110/(-45) + -16 and 26/321.
963
Let k(o) = -20*o**2 + 361*o - 57. Calculate the lowest common multiple of k(17) and 51.
5100
Calculate the least common multiple of 7 - (0/(-5) + -3) and 3 - (-34)/(-10) - (-12)/5.
10
Let y(n) = -19*n + 856. What is the smallest common multiple of 108 and y(43)?
1404
Let p = -5229 - -5716. Calculate the least common multiple of p and 6.
2922
Suppose -512 = -59*a + 2438. Calculate the least common multiple of a and 6.
150
Suppose 483 = 12*v + 9*v. Let h = v - -49. What is the least common multiple of 27 and h?
216
Let y = 360943/72 + -5013. Find the common denominator of y and -65/258.
3096
Let i = 7 - -13. Calculate the common denominator of (150/i)/((-4)/((-60)/27)) and 27/106.
318
Let r(f) = 5*f**2 + 27*f - 4. Let d = -112 + 106. What is the smallest common multiple of r(d) and 314?
2198
Suppose 0 = 12*t - t - 143. Suppose -8*c = -29 + t. What is the smallest common multiple of c and 14?
14
Let m = -7978 - -31969/4. What is the common denominator of m and 107/322?
644
What is the common denominator of ((-522)/(-40))/(((-360)/320)/(6/104)) and 25/26?
130
Find the common denominator of -12*2712/(-25920)*10/8 and 155/168.
504
Let u(w) = -w + 17. Let i be u(14). Suppose -i*a + 9 = 0, -11*a = -3*p - 14*a + 18. What is the least common multiple of p and 43?
129
Let w(x) = 3*x**2 + 175*x - 190*x - 4*x**2 + 1. Let t be w(-11). Calculate the least common multiple of (t/25)/((-3)/(-50)) and 2.
30
Let y = -135225/16 + 8450. Calculate the common denominator of y and -173/5580.
22320
Let x(h) be the first derivative of 2*h**3/3 - h**2/2 + 12*h + 6. What is the least common multiple of (-66)/(-2)*(-2 + (-8)/(-3)) and x(0)?
132
Suppose 84 = 41*r - 39. Suppose 10*q = 15*q - 515. Calculate the least common multiple of r and q.
309
Suppose -39*d + 41*d + 4 = 0. Find the common denominator of -9/8 and (24/27)/d - (-1955)/450.
40
Let u be -1*4*1*(-3)/2. Let b be (6822440/132)/5 + u/(-2). Let h = 10333 - b. Calculate the common denominator of h and -49/12.
132
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