-18) and 51/8 - -4 - 1.
72
Let n be 4/(-12) - (-782358)/16704. Let l = n + -3/928. Calculate the common denominator of 89/4 and l.
4
Let r = -23 + -1. Suppose -4*g + 1076 = 348. What is the lowest common multiple of r/32 - g/(-8) and 14?
154
Let w = -1605 + 5449/2. Suppose 448 - 1607 = t. Let v = t + w. What is the common denominator of v and -25/6?
6
Let v = -26/38707 + -2010325173/425777. Let h = 4725 + v. What is the common denominator of h and 76/112 + (-66)/(-24)?
77
Let x(v) = 1 + 4 + 4*v - 3. Let o be x(-3). Find the common denominator of -47/18 and (-171)/72*o/4.
144
Let p be (692/24 - -3)*-73. Let l = 2310 + p. Calculate the common denominator of l and -17/6.
6
Let n = 2273 - 2213. Calculate the lowest common multiple of 381 and n.
7620
Let c = -21060/11 - -1917. Suppose 5*v + 225 = -5*r, 0 = -5*v + r - 171 - 54. What is the common denominator of (-2)/(-4) + 468/v and c?
110
Suppose -4*q - 10 = -9*q. What is the common denominator of (395/50 + -2)/(-1) and 0 + q - (-633)/(-168)?
280
Suppose 5*y = -221 - 409. Calculate the lowest common multiple of 10 and (-1)/(-4) + y/(-8).
80
Calculate the lowest common multiple of 1856/62 - 4/(-62) and 1068.
5340
Let a = -106069388/18469 - -63174/11. Let j = -188671/80592 + a. What is the common denominator of j and 37/22?
528
What is the common denominator of 79/15 and -111*(-5)/525 + (-3 - -1)?
105
Let c(l) = l**3 + 10*l**2 - 4*l - 7. Let s be c(-10). Suppose -s = -6*u + 15. What is the least common multiple of (0 + 1)*1 + 0 and u?
8
Let c = -106 - -118. Suppose 8 = -2*n - 0*n + 4*q, -9 = -3*q. What is the least common multiple of c and n?
12
Suppose 5858 = 2*k + 1272. Let w = 25263/11 - k. Calculate the common denominator of -25 and w.
11
What is the common denominator of -21/4 and (28/6)/(-7) + (-38)/72?
36
Let l = -1067 - -210204/197. Let b be -1 - (-25550)/(-2364)*-1. Let x = b + l. Find the common denominator of x and -81/28.
84
Let l be -2 - 4*(2 + -3). Suppose 2*i - 14 = -l*g, -5*g - i = 3*i - 38. Let a = 21 - g. Calculate the lowest common multiple of 3 and a.
33
Suppose -3*u + k = 32, 2*u = -u - k - 22. Suppose -2*v = 5*h + 17, 2*v + h = -0*h - 29. Let y = u - v. What is the least common multiple of 10 and y?
70
Suppose 4 = -k - 3*c - 3, 3*k - 3 = 3*c. What is the smallest common multiple of k + (-1)/(-1) + 5 and 1/((-1)/(-2)) - -8?
10
Suppose 0 = -19*d + 16*d - 4*g + 52, -5*d + 80 = 5*g. Let s = 122 + -62. Calculate the least common multiple of s and d.
60
Suppose -26 = -5*c - 3*f, -7*c + 10*c - 14 = -f. Suppose 2 = 2*a - 0. Suppose -g - a = -4. Calculate the lowest common multiple of c and g.
12
Calculate the least common multiple of (-2)/(-12) + (2 - 6383/(-78)) and 132.
924
Suppose -3*z - 2*z + 25 = 0. Suppose 120 = r + z*r. Calculate the smallest common multiple of 22 and r.
220
Let d(p) = -p**2 - 3*p. Let v be d(0). Find the common denominator of (1 - v)/(-5 + (-1785)/(-365)) and -11/6.
24
Let u be (-8)/20*-5 + 2. Suppose -u*x = -27 + 3. Calculate the least common multiple of x and 6.
6
Suppose -3*c = -3*p + 39, 0*p + 4*p - 2*c - 54 = 0. Let h = p - 9. Suppose h*x + 12 = 42. Calculate the least common multiple of 6 and x.
6
Suppose -5*i = -i - 40. Calculate the smallest common multiple of 30/6 + 1 + 17 and i.
230
Let p(y) = -2*y**3 - 2*y**2 + 2*y + 1. Let o be p(-2). Suppose 0*h + h = -5*i + 44, o*i - 32 = 2*h. Calculate the least common multiple of i and 16.
16
Suppose 75*k = 204*k - 14964. What is the smallest common multiple of k and 2?
116
Let l(s) = -s**3 + 7*s**2 + 9*s - 2. Let h be l(8). Calculate the smallest common multiple of 4 and (h - 4)/(2/10).
20
Let w(a) = 1 + 2*a**2 - 3 + 4*a + 3. Suppose 0 = 3*x - 11*x - 24. What is the smallest common multiple of 1 and w(x)?
7
Calculate the common denominator of -3*(-1)/3 - (-605)/(-740) and 1/32.
1184
Suppose 7*s - 104 = 3*s. Let g = -69 + s. Calculate the common denominator of g and ((-5)/35)/(1/(-46)).
7
Let f = -348643/54 + 6456. What is the common denominator of -38/9 and f?
54
Let l be 2*285/(-6)*1. Let u = 254 + l. Calculate the lowest common multiple of 20 and 1/(3 - u/54).
180
Let b = -1121 - -1153. Suppose -4*p - 2*l + 156 = 0, l + 3*l = -8. Calculate the lowest common multiple of p and b.
160
Suppose 650 = -2*f + 15*f. Calculate the least common multiple of 55 and f.
550
Suppose 5*c + 2 = 7. Let t = c - -1. Suppose -586 = 19*o - 1004. What is the lowest common multiple of o and t?
22
Let s = -12643 - -3770. Let g = s - -5710. Let z = g - -50571/16. Calculate the common denominator of z and -21/2.
16
Let b = -2019/424 + -6/53. Suppose 12*t + 20 = 2*t. What is the common denominator of 31 + 7 - 1/t and b?
8
Suppose -5*g + 13*g = 168. Let b(n) = -n + 27. Calculate the lowest common multiple of b(15) and g.
84
Let x be 0 + (-344656136)/4407900 - 3. Let y = x - -4/52475. Let t = 741/7 + y. Calculate the common denominator of 58/9 and t.
9
Let q(p) = -14*p + 4. Let y be q(-10). Suppose 5*a = 2*a + y. What is the smallest common multiple of a and 7?
336
Let s = 485 + -6310/13. Let g = -61/91 - s. Calculate the common denominator of (18/12)/((-6)/(-11)) and g.
28
Calculate the common denominator of -35/12 and -9 + 7/(5544/6988).
396
Let w = 403/25 - -6466/75. Let a = w - 311/6. Calculate the common denominator of a and (121/5)/((-24)/5).
24
Let b = -6581/126 - -445/9. Let v be -258*(-4)/16 + 2. Let j = -68 + v. Calculate the common denominator of j and b.
14
Let f = 6636 + -53011/8. Find the common denominator of f and (19/12)/((-2)/(-18)).
8
Suppose 341 = -26*b + 57*b. Calculate the lowest common multiple of b and 124.
1364
Let r = 52330/297 + -1908/11. What is the common denominator of r and 62/297?
297
Let b = -27 + 28. Suppose -5 = -2*r - b. What is the lowest common multiple of r and 6?
6
Let k be 2301/4 - (-1)/(-4). Suppose 13 + k = 6*q. What is the lowest common multiple of q and 2?
98
Let d(m) = -m + 53. Suppose 61 - 21 = -4*n. Calculate the lowest common multiple of d(n) and 7.
63
Suppose 0*x + 39 = 3*x. Let q(g) = -g**3 + 13*g**2 + 3. Calculate the least common multiple of q(x) and 11.
33
Find the common denominator of (49470/3400)/(6/4) and 19/240.
240
Let i = -29 + 30. Let s be (72/14)/(i/7). What is the lowest common multiple of 4 and 20/6*s/10?
12
Let o = -9/1171 - 64261/18736. What is the common denominator of 59/84 and o?
336
Let q = 7710/7 + -35582/35. Let y = q - 91. Find the common denominator of -1 and y.
5
Suppose 4*z - 25 = -5*v, -3*z - v = -7*z + 43. Suppose -42 = -z*j + 7*j. What is the smallest common multiple of j and 142?
994
Let l = -816 + 4124/5. Calculate the common denominator of -61/42 and l.
210
Suppose -2*r - 482 = -6*r + 3*o, -242 = -2*r + o. Let h = -941/8 + r. Let g = 3663/232 - 708/29. Calculate the common denominator of h and g.
8
Find the common denominator of 77/20 and 410/16*(-3 + 154/50).
20
Let a be -5 - (-9 - (-3 - 2)). Let j(w) be the first derivative of -7*w**2/2 - w + 4. What is the lowest common multiple of j(a) and 4?
12
Calculate the lowest common multiple of 20 and 3432/42 - 46/(-161).
820
Let n be 3 + 7 + 4/(-2). Suppose -3*t = -3*y + 21, 4*y = 3*t - n*t - 8. What is the common denominator of (-31)/(-15) - t/12 and -20/9?
45
Let o be ((-3)/124)/((-38)/8). Let t = -28921/11780 + o. Let k = 6139/20 + -617/2. What is the common denominator of t and k?
20
Suppose -20*d - 97 = -937. Calculate the lowest common multiple of d and 18.
126
Calculate the common denominator of (-843)/(-90) + 2/6 and (295/(-30) - 3) + -1.
30
Suppose t = 5*h + 11, -2 = -0*t + 2*t + 2*h. Find the common denominator of 69/20 and (6 + 64/(-15))/(t/(-2)).
60
Find the common denominator of -127/984 and (210/300)/(4/(-65)).
984
Let o = -115 + 117. Suppose -m - 32 = -3*v - 2*m, -4*m + 38 = 3*v. Suppose -3*r + 11 = -v. What is the least common multiple of o and r?
14
Let m = 31174/29 + -1078. Let w = m - 489/116. Find the common denominator of -3/4 and w.
4
Calculate the least common multiple of ((-11)/((-88)/16))/(8/412) and 3.
309
Let k be -2*19*(-9)/(-54)*-3. Calculate the smallest common multiple of 18 and 3 - 3 - (k*-1 - 1).
180
Let r = 1111853/1122220 - -3/20404. Find the common denominator of 91/22 and r.
110
Let g = 1410 + -19699/14. Find the common denominator of g and (-21)/2*14/(-434).
434
Let a be