1. Suppose 0 = 7*f + 159 + 51. Calculate the common denominator of 19/6 and ((-99)/f)/(k/10).
6
Suppose 2*v + 40 = 4*n, n - 3*v = v + 24. Suppose -37 = n*z - 149. Calculate the lowest common multiple of 166 and z.
1162
Let x be (180/(-81))/10 + (-10599)/(-3834). Let z = x - 3/71. Suppose -30 = 3*d - 171. What is the common denominator of z and d?
2
Let o = 2592 - 15427/6. What is the common denominator of o and -53/981?
1962
Let v(c) = -c**3 - 5*c**2 + 5*c - 8. Let n be v(-6). What is the common denominator of ((-372)/21 - -2)/((-14)/(-147)*-12) and 3 + n + (-65)/7?
28
Suppose 0 = -4*w + 2*w + 8. Suppose 53 = w*n - 155. Suppose j = 3*i - 127, 5*j + 37 = 2*i - n. Calculate the least common multiple of 9 and i.
126
Let w be (-54)/(1 - 7) - (3 + 0). Calculate the lowest common multiple of 63 and (-40)/(-90)*(39/w - 2).
126
Let v = 72944129/432 - 168852. Find the common denominator of -19/162 and v.
1296
Suppose 0 = -3*q + 4*k + 182, 2*q - 6*k = -2*k + 120. Suppose -4*d = -q + 50. What is the smallest common multiple of d and 7?
21
Let d be 2 + (-1 - (-6)/2). Suppose 7*v - 39*v + 6400 = 0. Suppose -d*k - k = -v. Calculate the lowest common multiple of 20 and k.
40
Suppose -8*m + 207 = -353. Let y = m + -149/2. Calculate the common denominator of -38/11 and y.
22
Calculate the smallest common multiple of 70 and (-4)/(-10) - 76*(480/75 + -10).
9590
Let y = -2832 + 19776/7. Let a be 2*(3 - 4/8)/(-1). Calculate the common denominator of y and a - 724/10*(-22)/308.
35
Let y = 514187/22 - 23377. Find the common denominator of y and 33/(-4) + -3 - 0/(-70).
44
Suppose 9127*l - 9144*l + 170 = 0. Calculate the lowest common multiple of l and (-3)/(-1) + -1 - -8.
10
Let c(j) = -3*j**2 - 25*j - 30. Let m(g) = 4*g**2 + 27*g + 29. Let q(p) = 6*c(p) + 5*m(p). Calculate the least common multiple of q(10) and 5.
15
Suppose -9*r + 38 = -5*r + 15*r. Calculate the smallest common multiple of r and 18.
18
What is the smallest common multiple of 153 - 2*(-2)/4 and (-133)/532*(-1 - 279)?
770
Let q be (-85)/2*68/(-85). Suppose 0 = -2*b + 38 - q. Suppose 4*h + 29 = 3*m + 2*h, 0 = -m + b*h + 7. What is the lowest common multiple of 10 and m?
110
Let g = -2355/4 + 16503/28. What is the common denominator of ((-8)/(-66))/(4/102) and g?
154
Let k = -78781457/913733568 + -4/528781. What is the common denominator of 45/22 and k?
19008
Let z be (-11)/5 + (-11)/(-55). Let a(q) = -352*q**2 + q - 2. Let u be a(z). Find the common denominator of 2/(-9) + u/(-144) and 1/28.
84
Suppose 5*r - 30 = 2*r. Calculate the smallest common multiple of 3 - (10/(-2) + (-3 - -8)) and r.
30
Suppose 0 = 4*d, 4*m + 5*d = d + 32. Suppose 0 = 5*o - 0*o - 35. What is the smallest common multiple of m and (11/((-44)/(-8)))/(2/o)?
56
Let b(d) = -24*d + 910. Calculate the smallest common multiple of b(35) and 21.
210
Suppose 5*i + 38*g = 33*g + 4045, -4*i - g = -3254. What is the least common multiple of i and 4?
3260
Let n(f) = f**2 + 6*f + 15. Let o be n(-8). Suppose 4*h = -o*m + 34*m - 2, -2*h - 2 = -2*m. Calculate the least common multiple of m and 37.
74
What is the lowest common multiple of 595 and ((10/6)/(4/6))/((-896)/(-37632))?
1785
Find the common denominator of 73/4 and 1780960/222720 - (4 - -4).
1392
Let q(u) = 8*u + 16. Let v be q(-9). Suppose -215 - 121 = -7*s. What is the smallest common multiple of s and -2*(-7)/(v/(-12))?
48
Let q = 16/387 + 1867/258. Find the common denominator of q and 41/864.
864
Find the common denominator of -63/19832 and (-68925)/(-10200) + 6/51.
19832
What is the common denominator of -53/22 and (26/(-1158))/(352/(-2640))?
4246
Let t = 52369/39292 - 2/517. Find the common denominator of (-910)/294*(1215/30)/(-27) and t.
532
Let p = 363 - 1771/5. Find the common denominator of p and 18/2*5/(-15)*(-15)/57.
95
Let s = -8671/3304 - 1/1652. Let h be (-312958)/48 - (217/42 - 5). Let a = -6511 - h. Find the common denominator of s and a.
8
Let o = 4095 - 3525. What is the lowest common multiple of 228 and o?
1140
Let l = -220/21 - -3247/336. Let o be 1967950/6*-1*18/348. Let i = -16966 - o. Calculate the common denominator of l and i.
464
Let t be -3*(-6)/9 + -3. Let o = t - -15. Suppose -47 = -5*q + 2*h - h, 11 = 2*q - 3*h. Calculate the smallest common multiple of q and o.
70
Let f = 862 - 844. Calculate the lowest common multiple of f and ((-845)/(-13))/((-5)/(-2)).
234
Let t = 114 - 48. Calculate the common denominator of -2 - (3 - 519/t) and (-1562)/176*(-4)/21.
462
Calculate the common denominator of ((-4)/(-6))/(24/(-29)) and ((-84)/90)/((-160)/(-50)).
72
Let v be (-2)/(-15)*12*-45. Let t = 967/50 + -38/75. Find the common denominator of t and (2/7)/(v/585).
84
Let r(l) = -l**3 + l**2 + 6*l + 7. Let p be r(-2). Suppose -15*k + 160 = -p*k. Calculate the smallest common multiple of k and 50.
100
Suppose 66*b - r - 928 = 59*b, 5*r + 416 = 3*b. What is the lowest common multiple of 0 - (-10 + 2 + 0) and b?
264
Suppose -2*o + 36 = o. What is the lowest common multiple of 18 and ((-6)/o)/((-1)/28)?
126
Calculate the least common multiple of 44 and (-558)/(-3) + 36 + -50.
1892
Let b = -250111/236 - 21090/59. Suppose 92*w - 94*w + 2864 = 0. Let y = w + b. What is the common denominator of 91/16 and y?
16
Let c = -510012/6163 - -21126487805/295824. Let h = c - 71336. Let m = 1967 + -17642/9. What is the common denominator of h and m?
144
Let u = 4027 - 1749. Let c = -50155/22 + u. Find the common denominator of -17/99 and c.
198
Calculate the lowest common multiple of 20 and (4*(-1071)/(-340))/(6/20).
420
Suppose 0 = -3*h - 496 + 451. Let i = 4429/6 - 744. Find the common denominator of i and (-198)/h + (7 - 9).
30
Suppose -12*x = 17*j - 21*j - 28, -x = -4. What is the lowest common multiple of 1504 and j?
7520
Suppose 19*f - 103 - 657 = 0. Calculate the lowest common multiple of f and 16.
80
Suppose 0 = -4*h - 2*k - 32, 3*h + 0*k - 4*k + 35 = 0. Let l = 13 + h. Let p(d) = -d**3 + 6*d**2 + 7*d + 5. Calculate the lowest common multiple of p(7) and l.
20
Let f be (-26 - -75)/(1/(-24)*-2). Suppose -2*x - 758 = -5*l, -x + 4*x = -4*l + f. What is the lowest common multiple of 45 and l?
450
Let w = -99754/23 + 4336. Find the common denominator of -46/13 and w.
299
What is the common denominator of 12/(1440/(-244))*7/231 and 79/2610?
28710
Let c be ((-9)/(225/(-2)))/(2/(-330)). Let i = 151/10 + c. What is the common denominator of i and -52/45?
90
Let n = -263057 + 337765301/1284. What is the common denominator of n and 7/2140?
6420
Let k = -781 - -1650. Suppose 10*a - k = -329. Calculate the smallest common multiple of a and 12.
108
Let w = 5344 + -42661/8. What is the common denominator of 1/2*248/(-16) and w?
8
Find the common denominator of 19/1890 and 47/(-5) - -9 - (-26)/(-15).
1890
Let u = -33 - -2. Let p = u - -33. Suppose -6*s - 12 = -3*s, 5*s - 40 = -p*h. What is the lowest common multiple of 30 and h?
30
Suppose -2*p - 390 = -2*n + 2*p, n + 3*p - 170 = 0. Let q = n + -157. What is the least common multiple of q and 2/(-3) - (-268)/6?
308
Let c(x) = 2*x**2 + 2*x - 6. Suppose -2*f + i + 93 = f, -2*i - 93 = -3*f. Let u = f - 29. What is the least common multiple of c(u) and 11?
66
Let d = 27/11 + -461/22. Let q = -17 - d. Find the common denominator of q and 3/12 - (-25)/270.
108
Suppose h + 67 = 97. Suppose -s + 188 - 32 = 0. Calculate the lowest common multiple of s and h.
780
Let w be (-6)/6*(-33)/(-1). Let g(s) = -8*s - 240. Calculate the lowest common multiple of g(w) and (-13)/(-2)*2 - 1.
24
Let l(r) = -5*r + 10. Let c be l(2). Suppose -a = -3*s - s + 132, 2*s - 4*a - 66 = c. Calculate the smallest common multiple of s and 18.
198
Let f = 4984 - 4980. What is the lowest common multiple of f and 18?
36
Calculate the smallest common multiple of 120 and -2*((-2)/8*2726 - 5) - -7.
2760
Suppose 8 = 4*x - b, -2*x - 5*b + 145 = 141. Suppose 0 = -4*s + 3*r - 0*r + 10, 0 = 5*s - x*r - 9. What is the least common multiple of 5 and s?
5
Let p = 303175416/7501 - 40418. Let b = 427601/165022 + p. Find the common denominator of b and 138/40 + -3 - -3.
220
Suppose 20*d + 4495 = 2*t + 19*d, 0 = -4*d + 20. What is the smallest common multiple of t and 40?
9000
Suppose -i + 32 = 3*w, 0*w + 5*w = 3*i + 58. Let f(h) = h - 11. Let g be f(17). Suppose 0 = -3*x + g - 0. Calculate the