 - 1. Calculate the smallest common multiple of l(1) and h.
22
Let p = 25 - 22. What is the smallest common multiple of -4 + (-384)/(-15) - (-3)/(-5) and p?
21
Let h be (-3)/(-222)*-4*5/(-80). Let i = h + -14/37. Calculate the common denominator of 2 and i.
8
Let u = 7357 - 88213/12. Calculate the common denominator of u and -163/78.
156
Suppose -497 = 12*f - 641. Calculate the least common multiple of f and 84.
84
Suppose 98 - 8 = 5*v. Let c be 7/(-42) - v/(-92). Let j = c - 85/552. What is the common denominator of 21/4 and j?
8
Suppose -y = -258 + 58. Calculate the smallest common multiple of 10 and y.
200
Let s = 28 + -25. Suppose -s*m + 10 + 56 = 0. What is the least common multiple of m and 18?
198
Let w = -14099/29412 + -64/387. What is the common denominator of w and 23/4?
76
Let d = -73/193 + 32083/13896. Calculate the common denominator of -89/12 and d.
72
Suppose 5*d - v - 117 = 86, -2*d - 5*v = -65. What is the least common multiple of d and 104?
520
Let v(h) = -8*h + 2. Calculate the smallest common multiple of (-105)/(-20)*240/18 and v(-2).
630
What is the common denominator of 65/576 and ((-1587)/(-216) - 0) + -1 + -5?
576
Let m = 35129/28860 - 4/7215. What is the common denominator of m and -101/20?
60
Suppose 0*b - 4*b + l = 154, l - 116 = 3*b. Let m = 27 + b. Let q = 19 + m. What is the smallest common multiple of 10 and q?
40
Let w be 63/12*16/(-6). Let n be (-1)/1 - (-10910)/w. Let d = n + 782. Find the common denominator of d and 19/11.
77
Suppose 2*w - z + 87 = -0*z, 3*w + 3*z + 144 = 0. Let v = w + 49. Calculate the lowest common multiple of 35 and v.
140
Calculate the common denominator of 127/156 and -14 + 26 + -17 + (-155)/(-27).
1404
Suppose -5*t - 20000 = 5*o, 0*t - 2*t + 3*o = 8020. Let x = 40089/10 + t. What is the common denominator of -101/18 and x?
90
Suppose -3*d + 2*n + 36 = 0, 21 = 5*d + 3*n - 39. Let x(k) = -k**3 + 4*k**2 + 4. Let h be x(4). What is the smallest common multiple of d and (-20)/(4/h*-1)?
60
Calculate the common denominator of -97/68 and ((-8)/(144/(-15)))/(2/(-58)).
204
Let d be 25/5 + 25/(-7). Let h = d - -445/56. What is the common denominator of 25/3 and h?
24
Suppose l - 3*o = -89, 6*l - 3*o + 169 = 4*l. What is the common denominator of -111/10 and (-7 - -8) + 252/l?
20
Let h(v) be the third derivative of v**5/30 + v**4/3 + 5*v**3/3 + 12*v**2. What is the smallest common multiple of 6/((-1)/(6/(-9))) and h(-5)?
20
Suppose -20 = 2*t + 4*c, -4*t + 3*t - c - 15 = 0. Suppose 2*k = -k + 42. Calculate the smallest common multiple of (-56)/(-6) - t/(-15) and k.
56
Let q be -5 + 80369/12 + 5. Let j = q + -6688. What is the common denominator of 19/6 and j?
12
What is the common denominator of (4/9)/((-4)/6) and 45/101?
303
Find the common denominator of 11/170 and (3/2 - 3)*29/30.
340
Suppose 2*d - 5*d = -12. Suppose -2*r - d = -3*r. Let j(a) = -a**3 + 4*a**2 - 3*a. Calculate the least common multiple of r and j(2).
4
Suppose -8*s + 560 + 40 = 0. Calculate the smallest common multiple of 50 and s.
150
Let j = -1/4 - -115/12. What is the common denominator of j and 11/3?
3
Suppose -2*a - 3*a + 24200 = 3*y, -3*a - 24216 = -3*y. Let n = y - 129063/16. What is the common denominator of -33/104 and n?
208
Let t(a) = a**3 - 7*a**2 - a + 7. Let u be t(7). Suppose u = y - 3 + 1. What is the smallest common multiple of 2 - 3 - -15 - 4 and y?
10
Let y be 1 + 1/(-3) + 52759/(-42). Let n = 1281 + y. What is the common denominator of -5/43 and n?
86
Suppose p = 3*p - 2*v, -5*v = 2*p - 35. Calculate the common denominator of (2/21)/(685/135 - p) and 3/9 - 478/(-60).
70
Suppose 0 = -2*x + 3*f - 23, -f - 2 = 1. Let l be x/10*(2 - -3). Find the common denominator of (-4)/(-5)*(-49)/l and -77/20.
20
Let p = -53 - -62. Calculate the least common multiple of ((-12)/p)/(-2)*(1 - -53) and 2.
36
Let y be (-21)/105 - (-158)/(-10). Let t be 8/y + 71/2. Suppose -4*f + t + 41 = 5*a, 4*f + 4*a = 72. Calculate the least common multiple of 24 and f.
168
Suppose 2*q - 66 = 4*s, -82*q + s = -84*q + 51. Suppose 4*a = 4*w - 32, -4*w = a - 0*a - 47. What is the smallest common multiple of w and q?
297
Suppose -2*t = -16*t + 420. What is the lowest common multiple of t and 15?
30
Let j(u) = u**3 - 17*u**2 + 15*u + 34. Let c be j(16). Calculate the lowest common multiple of 6 and 9/c + 19/2.
30
Suppose 7*r = 6*r - 2, 3*v = 2*r + 175. What is the least common multiple of 33 and v?
627
Let h = -6 - -8. Suppose -11 - 17 = -2*m. What is the lowest common multiple of 3/6 + 7/h and m?
28
Let f(r) = 3*r - 22. Let h = -22 + 42. What is the lowest common multiple of h and f(10)?
40
Let q = 11790227/5 + -2345270. Let a = -12837 + q. Let v = a - -2279/40. What is the common denominator of v and -51/20?
40
What is the lowest common multiple of ((-2)/6 + 1)*6 + 50 and 36?
108
Let j = -1854382969709/8184 - -226586388. Let c = j - 2/1023. What is the common denominator of c and 103/10?
40
Calculate the common denominator of 37 and -1*(1 + -5) + 6441/(-1748).
92
Let p = 14 + -11. Let k be -5 + p + (-15634)/3144. Let f = 51/131 + k. Find the common denominator of f and -73/8.
24
Let n = 11066 - 354199/32. Let w = -821/24 + 85/3. What is the common denominator of n and w?
32
Let t(u) = 2*u + 12 - 8*u**2 + 5*u + 18*u**2 + u**3. Calculate the lowest common multiple of 33 and t(-9).
330
Let x = 23753 + -12455. Suppose 1596 + 2916 = 2*r - 2*m, 5*r + 4*m - x = 0. Let g = r + -49667/22. Find the common denominator of g and -27/20.
220
Let d(o) = -2*o + 10. Let b be d(7). Let y be 1 + b + -1 + 5. Suppose -p + y = -9. Calculate the least common multiple of 10 and p.
10
Suppose -x + 3*x - 14 = 0. Let g = 65 - 69. What is the smallest common multiple of x and (8/g)/(3/(-6))?
28
Let k = -7217 + 86665/12. What is the common denominator of k and 71/54?
108
Suppose 6 = -3*j, -4*v + 22 = 3*j - 2*j. Suppose -m = 5*f + m - 51, -2*m - 21 = -3*f. Calculate the least common multiple of v and f.
18
Let u be 0/((0 - -2)*1/(-1)). Suppose u = 4*w - 14 - 50. What is the lowest common multiple of 10 and w?
80
Suppose -p - 10 = -3*q - 1, -5*q + 20 = 0. Suppose 3*f = -3*f - 54. Let i(y) = y**2 + 12*y + 32. What is the least common multiple of p and i(f)?
15
Let c be 0 - 24/(-10) - 14/35. Suppose -4*s = -c*x - 4, -x + 0*x = 5*s - 19. Suppose 0 = v - 3*v + 20. What is the smallest common multiple of x and v?
20
Suppose -14*u + o = -16*u + 576, 1442 = 5*u + 3*o. Calculate the smallest common multiple of 39 and u.
858
Let o = -539 - -548. Calculate the smallest common multiple of 141 and o.
423
Let j = 54 - 50. What is the common denominator of (-6)/(-70)*(-110)/j and -85/16?
112
Let n = -110 - -197. Suppose 3 + n = 3*d. What is the least common multiple of ((-8)/(-6))/(10/d) and 5?
20
Let x = -26 - -28. Let z be (-4*6)/(2/(-4)). Suppose -z = -t - x*t. Calculate the least common multiple of 8 and t.
16
Let v = -13/1723 + -142515/65474. Find the common denominator of 10/9 and v.
342
Let r = -61 + 82. What is the smallest common multiple of r/14 + 98/4 and 16?
208
Suppose 82 - 20 = 31*j. Calculate the least common multiple of 14 and j.
14
Suppose 3*h = h + 6, -5*h = 5*w - 60. What is the smallest common multiple of 102 and w?
306
Let c = 26 + -26. Suppose c*r - 2*r + 5*m + 14 = 0, 0 = -2*m - 4. Suppose 0*a + 4 = -2*l + r*a, a = 5*l - 6. What is the lowest common multiple of l and 11?
22
Calculate the common denominator of 68/33 and (-14)/(-77) + 257/99.
99
Suppose -315 = -3*z + 2*p, 2*z - 6*p - 210 = -p. Suppose 0 = 5*f - x - z, 4*f - 3*x - 115 = -f. Calculate the least common multiple of 2/28*-4*-7 and f.
20
Let b be 8/28 - (-58)/(-7). Calculate the least common multiple of 6/(-5)*(-20)/6 and b/((-6)/(-9)*-1).
12
What is the least common multiple of 4 and (21/63)/(-2 + (-73)/(-36))?
12
Suppose 0 = -x, -4*x + 2 = o - 3. Calculate the common denominator of 1 - 1*28/10 and -4 + (-1419)/(-60) + (-2)/o.
20
Suppose -2*n - 13 = -5*s, 2*n + 5 = 3*s - 2*n. Suppose -w + x = -x - 11, w - s*x = 12. Suppose -w = -2*t + 7. What is the lowest common multiple of 12 and t?
24
Let n = 195 + -100. Let u = n - 81. What is the lowest common multiple of 10 and u?
70
Let t(k) = k**2 - 7*k - 12. Calculate the lowest common multiple of ((-3)/((-12)/(-112)))/(-2 + 0) and t(9).
42
Suppose -5*x = -3*x - 