75
Let x = 46 + -46. Suppose x = -2*m + 4 - 2. What is the least common multiple of m and 7?
7
Let l(t) = -16*t - 12. Suppose -5*a - 2*x = 10, -4*a - 8 = -2*x - 3*x. What is the least common multiple of l(a) and 20?
20
Let w be 0 - -4 - (-7 - -8). Suppose -w*r = r + 4. Calculate the common denominator of (-310)/(-56) + r/4 and 1/7.
7
Let v = 7499/609 + -306/29. Find the common denominator of v and -92/75.
525
Let z = 2071 - 8213/4. Suppose 4*g = 5*u - 45576 + 16982, 3*u = -4*g + 17150. Let y = -34217/6 + u. Find the common denominator of z and y.
12
Let a be 26/(-10) + 9/15. Find the common denominator of 2/12 - (-1 + 1) and a*76/80 - 4.
30
Suppose 2 = -2*z + 8. Suppose 5*y - 37 - z = 0. What is the smallest common multiple of y and (-1)/2 + 22/4?
40
Let s = 484/15 + -71/3. Suppose -5830 = -5*y + 5*m, 0*y - 4*m - 5829 = -5*y. Let p = 5876/5 - y. What is the common denominator of s and p?
5
Calculate the least common multiple of 25 and (3 + 1 - -34) + -3.
175
Let x = -504/211 - -7066/9495. Find the common denominator of -107/54 and x.
270
Let l = -606409/10 + 60808. Let h = l + -6587/40. What is the common denominator of h and -43/4?
40
Let g = -3956970778 + 395684978601/100. Let f = -120991 - g. Let h = 518 + -2063/4. What is the common denominator of f and h?
100
Let w be 5674/(-80)*24/(-222). Let l = 90/37 + w. Calculate the common denominator of 2*(-3)/(-36)*115 and l.
30
Suppose -2*g + 4*v = g - 54, -2*g = 3*v - 19. Suppose -5*y = -y. Suppose 4*w - 34 - 14 = y. Calculate the least common multiple of g and w.
84
Find the common denominator of (((-22)/12)/11)/(2/286) and -1*(-358)/(-68) + 8 + -5.
102
Suppose -4*t - 20 = 0, -2*t = g + 1 - 9. Suppose 2*c = 5*c + g. What is the common denominator of (c/5)/(147/140) and -22/7?
7
Let z(m) = -2*m**2 - 94*m + 94*m - 1. Let b be z(-1). What is the least common multiple of 8 and (-2 - 8/b)*15?
40
Let o(s) = 236*s**2 - 54*s + 55. Calculate the lowest common multiple of 15 and o(1).
1185
Let q(l) = -l + 8. Let w be q(4). Suppose 3*f = 5*i - 183, -3*i + 2*i + w*f + 40 = 0. What is the lowest common multiple of i and 20?
180
Let k be ((-2)/(2/3131))/1. Let f = 124599995/16 + -7784372. Let z = k + f. Calculate the common denominator of z and -87/2.
16
Let k be -55 + (0 + -3 - -2). Let y = k + 58. What is the lowest common multiple of y and (4/2)/((-2)/(-6))?
6
Let j(h) = h**3 + h**2 - 2*h + 80. What is the smallest common multiple of j(0) and 12?
240
Let b = -3 - -1. Let y = 130 + 3. What is the common denominator of 145/6 and y/(-24) + 0 - b?
24
Let g(v) = -v**3 - 5*v**2 - v + 3. Let d be g(-3). What is the common denominator of 9/2 and (-16)/4 - 304/d?
6
Suppose 5*y - 9605 = -5*n, -2*n + 0*y = -2*y - 3850. Let g be (1/n)/((-9)/(-54)). Let k = 5150/7051 - g. Find the common denominator of -9 and k.
11
Calculate the common denominator of 27/2*(-27)/(-63) and -19/140.
140
Let b = -28411 - -9869. Let q = -370953/20 - b. Calculate the common denominator of -137/18 and q.
180
Let b(w) = 96*w. Let h be b(3). Let r = -3509/4 - -10817/12. Find the common denominator of r and (-4)/(-18) - 910/h.
48
Suppose 3*z + z = 44. Let k = 47 - z. What is the least common multiple of 18 and (12/9)/(4/k)?
36
Suppose 1590 + 189 = -2*k - 5*m, 4*k + 3585 = -m. Let s = -2973733/3540 + -10162/177. Let q = k - s. What is the common denominator of q and -55/4?
20
Let k = -123 - -78. What is the lowest common multiple of ((-2)/(-3))/((-10)/(-165)) and (k/(-20))/9*4?
11
Suppose -240*j = -238*j - 12. Calculate the lowest common multiple of j and 24.
24
Suppose 120 = 5*n - 5*c, -2*n - 2*c + 7*c + 48 = 0. Calculate the common denominator of 55/18 and (-322)/(-21)*(-2)/n.
18
Suppose -6*a + 0 = -18. Let p(q) = q**3 + 2*q**2 - 8*q - 3. What is the lowest common multiple of p(a) and 18?
18
Let f be (-31529)/140 + 7/42*-9. Let r = -1546/7 - f. What is the common denominator of 64/3 and r?
60
Find the common denominator of (-5008)/(-20140) + (7 - 72/10) and 57/2.
2014
Let a = -587/45 - -184/9. What is the common denominator of a and -47/80?
80
Calculate the common denominator of 47/20 and ((-2)/(-95))/(24/358).
1140
Let r = -55 - -233. Suppose -t = -0*t + r. Calculate the common denominator of 5/20*t/9 and -79/14.
126
Let l = 120 + -82. Let w = l + -36. Calculate the lowest common multiple of 8 and w.
8
Let d = -681644461171/2766060 + -821/307340. Let v = 32528143/132 + d. Let z = -64/99 - v. What is the common denominator of z and 19/18?
36
Suppose 418 = 4*q - 2*r, 191 = 5*q + 2*r - 309. What is the lowest common multiple of q and 15?
510
Let l = -3 - -309. What is the smallest common multiple of l and 33?
3366
Let y = -3417 - -7174. Let j = y + -22661/6. What is the common denominator of 101/30 and j?
30
Let v = -32 - -34. Suppose 10 + 4 = v*p. Suppose -2*d = -3*d + 7. What is the smallest common multiple of p and d?
7
Suppose 5 = -w - 0*o + o, -3*w + o = 15. Let t(u) = -5*u - 6. Let m = 41 + -33. Calculate the smallest common multiple of m and t(w).
152
Let x = -345709/36 - -9601. Calculate the common denominator of x and 67/24.
72
Suppose 5*m = 5*j - 35, -19*j - 11 = -18*j + 5*m. Let r = 13 + -7. Suppose -54 - r = -5*k. What is the lowest common multiple of j and k?
12
Let b be ((-24)/9)/(4/(-6)). Let d be b + -2 - 5 - -3. Calculate the lowest common multiple of 18 and (3 + d)/(1/4).
36
Suppose -78 = -2*c + 3*d, 4*d + 12 = -4. What is the lowest common multiple of 666 and c?
7326
Let r = 89 - 47. Let d(w) = 3*w**2 + 20*w - 15. Let c be d(-8). Suppose 20*x - c*x - r = 0. What is the least common multiple of 2 and x?
14
Calculate the common denominator of (-24)/(-180) + (-4207)/(-210) and -5/156.
156
Let m = 2116 + -33815/16. What is the common denominator of 181/(-70) - (-2)/7 and m?
80
Let m = 943 + -8831/9. Let t = m + 41. Let p = -29/11 - 571/88. What is the common denominator of t and p?
72
Suppose -2 - 43 = 3*v. Suppose 0*d + 9 = -3*d. Calculate the common denominator of -38/11 and 1 - (d + (-216)/v).
55
Suppose 5*a = -13*a + 144. Calculate the lowest common multiple of 31 and a.
248
Find the common denominator of -2 + (-1338)/40*(-18)/405 and 53/165.
1650
Let b(o) = 11*o - 13. What is the smallest common multiple of 24 and b(3)?
120
Let o(q) = -3*q - 3. Let u be o(-16). What is the common denominator of (6/2)/(u/140) and 4/(-6)*1695/100?
30
Let w = -36 - -39. Suppose 5*a - w*a - 22 = 0. Calculate the least common multiple of 1 and a.
11
Let f = -81225/14 - -5796. Calculate the common denominator of f and (-19)/(-3762) + (-2)/(-27)*3.
154
Let s(u) = u**3 + 7*u**2 + 4*u - 7. Let v be s(-6). Suppose 3*d + n - 5 = 9, d = 3*n + 8. Suppose 25 + v = d*w. What is the lowest common multiple of w and 5?
30
Let j(p) = -3*p - 19. Let v be j(-8). Suppose -4*r + 84 = v*g - 3*r, 4*g - 56 = 2*r. Let i = -14 - -26. Calculate the smallest common multiple of i and g.
48
Calculate the common denominator of 2091/1155 + 20/(-110) and 67/35.
35
Suppose -i + 7*i - 648 = 0. What is the lowest common multiple of i and 2?
108
Let x = 1625406/133 - 12221. What is the common denominator of 51/7 and x?
133
Let r = -3467 - -76287/22. Let m(k) = 5*k - 5. Let u be m(3). Find the common denominator of ((104 - 1) + 2)*u/220 and r.
22
Suppose 0 = -2*v - 3*v + 10. Suppose 4*s + 17 = 3*s. Let l = -3 - s. What is the lowest common multiple of l and v?
14
Let y = -25 + 85. Calculate the smallest common multiple of y and 33.
660
Let v be (-8 + 3)*1/(-14). Let i = -1279087/210224 - 160/1877. Let x = i + v. Find the common denominator of x and 81/8.
16
Let q be -23*(2*-1 - -3). Find the common denominator of ((80/(-25) - -3)/1)/((-42)/(-435)) and q/5 - (-2)/(-4).
70
Let h(i) = i**3 + 4*i**2 - 4*i + 4. Let r be h(-5). What is the smallest common multiple of 0 + -3 + (9 - r) and 8?
56
Let o = -22 + 104/5. Let b = 1/45 - o. Calculate the common denominator of b and 48/7.
63
Suppose -5*t + 140 = 5*m + 895, 4*m + 610 = -2*t. Let d = -151 - m. Calculate the lowest common multiple of d and 33.
33
Let n = 5837/4 - 1467. What is the common denominator of n and (-6)/(-45)*(-1860)/(-160)?
20
Let r = 378 - 315. What is the lowest common multiple of r and 12?
252
Let a be 3 - 6/30*5. Calculate the common denominator of 43/48 and 1635/(-225) + 3 + a.
240
Let i(q) = -q**3 + q**2 - 2 + q