
Suppose 0*z - z = -8. Suppose 0 = -4*f + 3*v + 214, -5*f - 2*v + 250 = 3*v. Calculate the smallest common multiple of z and (143/f)/((-2)/(-8)).
88
Suppose -2*u + 112 = 2*u. Suppose -2*b + 6 = 4*f, -3 = 5*b - u. Find the common denominator of (-73)/(-2)*f/5 and 77/8.
40
Suppose 3 = 5*r - 32. Suppose -12 + 152 = 35*x. Calculate the lowest common multiple of x and r.
28
What is the least common multiple of 4 + 52/(-16) + (-7007)/(-44) and 100?
800
Suppose 3*q - 2*m = -7*m - 46, 3*m = 12. Let y be 4/q - (-266)/11. Suppose 3*j + 7 = r, -5*j + j = 2*r - y. Calculate the lowest common multiple of r and 10.
10
Let z = 117319/41145 - 646/211. What is the common denominator of z and -17/105?
1365
Find the common denominator of -31/24 and (-6 - (-194)/14) + 0.
168
Let w be 3*(-6)/(-81) - 3407435/(-450). Let y = w - 7561. Find the common denominator of y and -16/9.
90
Let w be 5/(-2)*4/(-2). Suppose 0*l + 55 = w*l. Suppose l*y = 7*y + 16. Calculate the least common multiple of 14 and y.
28
Find the common denominator of (-205)/(-700) + 4/((-200)/(-5)) and 11.
28
Let k be 1/5*(-4101)/(-66). Let u = k + -117/10. Let g = 5272 + -52839/10. Calculate the common denominator of u and g.
110
Let c(f) = 5*f**2 - f. Suppose -3*g + p + 2 = -g, 20 = -5*p. Calculate the least common multiple of c(g) and 4.
12
Suppose -k + 8 + 6 = 0. Suppose -5*l + 254 = 94. Suppose 5*c - 9*n + 8*n - l = 0, -c - 5*n = 4. What is the smallest common multiple of c and k?
42
Suppose 2*x = -4*c - 296, 5*c + 163 + 218 = 3*x. Let p = -599/8 - c. Calculate the common denominator of 2/33*(-87)/(-4) and p.
88
Calculate the common denominator of 882/12*(-5)/(-75) and -133/48.
240
Suppose 5*q - 89 = 4*f - 0*f, -4*q - 3*f + 65 = 0. Let i = -11 + q. Suppose -13 = -i*v + 47. Calculate the least common multiple of v and 16.
80
Let j = 117 + -113. What is the smallest common multiple of j and 46?
92
Let b = 1073/7 - 156. Find the common denominator of b and -19/14.
14
What is the least common multiple of 24 and (1395/2)/9 + 3/6?
312
What is the common denominator of ((-3)/6 - 3)*40/(-66) and 89/66?
66
Let x = -268311/715 - 4799/65. Let h = -40609/88 - x. What is the common denominator of h and 15/28?
56
Let g = -11 + -38. Let o = 81 + g. Calculate the common denominator of 70/o - (19 - 22) and 71/10.
80
Suppose -4768 = -31*i - 273. Calculate the lowest common multiple of i and 377.
1885
Let x(i) = 3*i - 5. Let d be x(8). Suppose d = -k - 0*k. Let q = -11 - k. Calculate the smallest common multiple of 4 and q.
8
Let h = -239/1260 + 5/126. Let o = -38461/12924 + 4/1077. Calculate the common denominator of o and h.
180
Let c(o) = -o**2 - 6*o + 3. Let w be c(-6). Suppose 5*x + 10 = 0, g - 4*x = -w*g + 24. What is the lowest common multiple of g and 8?
8
Suppose -3 + 1 = -2*o. Calculate the smallest common multiple of o and 5.
5
Suppose -2*h + 3*k - 38 = 4*k, -2*h = -2*k + 50. Let v be 4/6 + (-259)/h. Let c = v + -11. What is the lowest common multiple of c and 3?
6
Let s = 16 + -14. Suppose 23 = 2*v - 2*l + 5, s*v - l - 18 = 0. Suppose -2*x + 3*x = v. What is the smallest common multiple of 8 and x?
72
Let u(k) = k**2 - 6*k - 8. Let o be u(6). Let h = o - -17. Let t = 247 + -239. Calculate the least common multiple of h and t.
72
Suppose 143 = -4*v + 15. Let o = 42 + v. Calculate the least common multiple of o and 6.
30
Suppose 98 + 112 = 2*h + 3*f, -3*h = -f - 293. What is the least common multiple of 11 and h?
99
Suppose -5*i + 2*d = -30, -5*d - 3 = 3*i - 2*d. Calculate the lowest common multiple of i and 7.
28
What is the common denominator of 91/22 and 2/(-70)*(-2260)/(-24)?
462
Let t be 1/(-2)*(-3 + -17). Let k = t - -1. Suppose 5*l - 2*g - 70 = -7*g, -3*l + 5*g + 34 = 0. What is the least common multiple of k and l?
143
Suppose -4*v = -50 - 22. Suppose 0 = 6*b - 17*b + 22. What is the least common multiple of v and b?
18
Let u(p) = 9 + 19 - 13*p + 8*p + 16. Let m(i) = 3*i - 22. Let r(o) = -11*m(o) - 6*u(o). Calculate the smallest common multiple of 1 and r(-8).
2
Let l = 197 + 91. What is the smallest common multiple of l and 384?
1152
Find the common denominator of 52*1*(0 + 1/7) and ((0 - 2) + 45/10)*8.
7
Let d be (0 - 4)/(4 + 1778/(-441)). Let r be (1 + -3)*-1*-44. Let m = r + d. Find the common denominator of 67/8 and m.
8
Suppose 4*l + 43 = -5*j + 529, -4*j + 388 = 4*l. Calculate the lowest common multiple of j and 18.
882
Suppose a = -5*x + 48, -2*x - 2*a + 0*a = -16. Suppose 0*y = 2*y - 10. Suppose -x = -10*t + y*t. What is the least common multiple of t and 6?
6
Let q = -3572 + -190. Let m = -6453 - q. Calculate the common denominator of -89/4 and 2/(-10) + m/720.
16
Let i be (-13)/4*(-30415092)/24. Let o = i + -4113213. Let y = o + -5507. What is the common denominator of y and -67/9?
72
Suppose 0 = q + 5*c + 30, 3*q - 5*c + 11 = 1. Let h = 290 - 170. Find the common denominator of 145/6 and ((-3)/h)/(q/2075).
48
Let u = -23 + 53. Find the common denominator of 10/u*-73*(1 + 0) and -63/34.
102
Suppose 0*d - 155 = -5*d + 5*o, 23 = d + o. Let t = 9 - 0. What is the lowest common multiple of d and t?
27
Let u(q) = q**3 - 29*q**2 - 58*q - 110. Calculate the lowest common multiple of 672 and u(31).
672
Let u(d) = d**2 - d. Let c be u(2). Suppose -b = t - 12, 5*t - 3 = c*b + 1. What is the smallest common multiple of 8 and b?
8
Let h = 8175 - 1708590/209. Let w = -16213/1672 - h. Find the common denominator of w and -79/52.
104
Let c be -1 - (2 + -2)/2. Let s be 22*15 - c - -1. Calculate the common denominator of (5/160)/((-2)/s) and 119/24.
48
Let z = -3034477056184/30745 + 1085680567/11. Let b be (-8389)/11180 + 18/24. Let k = z + b. What is the common denominator of k and 61/6?
66
Calculate the smallest common multiple of (-2)/4 + (-1469)/(-26) + 16 and 22.
792
Let d = -4679/4088 + 1/584. Let n be (-20)/(-2 + (-16)/(-6)). What is the common denominator of 44/n*9/(-4) and d?
70
Let o be (-7866)/(-8540) + (-9 - -6) - -2. Let v = 17/70 + o. Calculate the common denominator of 27 and v.
61
Let l = 678 + -670. What is the smallest common multiple of l and 1?
8
Let w = 4/2035 + 242117/24420. Calculate the common denominator of -89/30 and w.
60
Let w(s) = -s**2 + 4*s + 5. Let h be w(5). Suppose h = -4*g, -2*g = -c - c + 22. Calculate the smallest common multiple of c and 11.
11
Let c = 4/831 + 23224/9141. Find the common denominator of c and ((-22)/12)/((-22)/(-33)).
44
Let y(c) = -c**3 - 4*c**2 + 5. Let j be y(-4). Suppose j*i + 5*x - 2 = 33, -5*x + 8 = 2*i. Calculate the smallest common multiple of i and 1 + (0 + 0 - -9).
90
Let a = -53883/5 + 17673509/1640. Calculate the common denominator of 65/22 and a.
3608
Let t = 1233 + -1215. Calculate the least common multiple of t and 150.
450
Suppose 0 = 5*s + 57 + 733. What is the common denominator of 32 - 5/(-2)*23/115 and 2*(s/(-24))/(-1)?
6
Let k = 262 - 6569/25. Find the common denominator of k and -49/30.
150
Let n = 3736 + -22363/6. Calculate the common denominator of 339/(-110) - 8/(-44) and n.
30
Let z = -14 + 20. Suppose -z*j = 49 - 157. What is the lowest common multiple of 14 and j?
126
Suppose -2*c - 4*y - 77 = -233, 2*c - 135 = 3*y. Calculate the least common multiple of c and 60.
360
Let u = -1682 + 1742. Calculate the least common multiple of 72 and u.
360
Let n = -96 - -206. What is the least common multiple of 22 and n?
110
Let a be (-6)/15 + (-2)/(-5). Suppose 0 = -5*g - i - 1544, -3*g + i - 928 = -a*i. Calculate the common denominator of g/66 - 1/(-2) and -13/6.
66
Let l(f) = f**2 - 2*f - 6. Let u be (-54)/15 + 8/(-20). What is the least common multiple of l(u) and 6?
18
Let q(n) = n**3 + 6*n**2 + n - 3. Let y be q(-4). Calculate the lowest common multiple of 3/((-9)/(-2))*27 and (y - 1) + -3 - 1.
180
Let x = -18982531633/312930 - 247598/31293. Let b = x + 569956/9. Let j = 2657 - b. Calculate the common denominator of j and 19/6.
30
Let p(u) = 2*u + 16. Let m(q) = -q + 5. What is the least common multiple of p(9) and m(-9)?
238
Let n = 46529/660 + -772/11. Calculate the common denominator of 4/(-46) + (-2225)/(-3105) and n.
540
Let c be -1 + 4 - 8 - -3. Let u = -5032/5 - -1010. What is the common denominator of u and (-412)/(-8) + -4 + c?
10
Suppose -2*v + 7*v = 75. What is the smallest common multiple of 124/5 - 12/v and 33?
