
Suppose 217*s - 218*s + 84 = 0. What is the least common multiple of s and 84?
84
Let q = 7930 - 79381/10. Find the common denominator of -101/8 and q.
40
Suppose 0 = -34*m + 3223 + 347. What is the smallest common multiple of 70 and m?
210
Let r(g) = g**3 - 6*g**2 + 6*g + 6. Let a be r(5). What is the common denominator of 87/4 and 1/(a/(407/4))?
4
Suppose 286 = 3*p - 5. Suppose -p = -6*o - 49. What is the smallest common multiple of 6 and o?
24
Suppose 3*y - 16 = -1. Suppose s - 14 = -4*z, -5*s + 5*z - y = -0*s. Suppose -s = 2*m - 12. Calculate the lowest common multiple of 7 and m.
35
Suppose 266*i - 265*i - 7 = 0. What is the lowest common multiple of 22 and i?
154
Calculate the common denominator of 119/174 and (-1)/2 - (-9)/9.
174
Calculate the common denominator of (-126)/(-165)*(-10)/4 and 51/28.
308
Let z be -181 - (8/(-14))/(4/(-14)). Find the common denominator of -1*(-8)/2 - (-843)/z and -21/5.
305
Suppose -72 - 18 = -5*y. Suppose 29*i = -115 + 1217. Calculate the lowest common multiple of y and i.
342
Let f = 256705873 + -425875007885/1659. Let y = -10/553 + f. Calculate the common denominator of -22/15 and y.
15
Suppose -7 = 5*d - 4*d. Let n = d + 19. Calculate the lowest common multiple of n and 9.
36
Suppose -5*g = -17 - 13. Let j be (g/(-40))/(2/(-28)). Let x = j - 29/40. What is the common denominator of 27/4 and x?
8
Let u = 1250305/117 - 10687. Find the common denominator of -28/9 and u.
117
Let l = 50 + -50. What is the smallest common multiple of 16 and (-11*1 + l)*(7 + -8)?
176
Let l be 4/26 - (-20256)/156. Suppose 4*r - 14 = l. Let d(w) = -3*w - 6. Calculate the common denominator of d(-13) and r.
1
What is the common denominator of (-1572)/(-2088)*3 - (-2)/(-4) and 23/9?
261
Let p = 22 - -5. Calculate the smallest common multiple of 27 and p.
27
Let f = -33 + 30. Calculate the lowest common multiple of 10 and -1 + f - (-20)/2.
30
Let r be ((-5)/(-10))/(2/16). Let i be 8 + (-1 - 1) - 2. Suppose r*w - 40 = -i*s, -6*s + 2*w + 50 = -s. What is the lowest common multiple of 2 and s?
10
Suppose 4*m - 2*a = 412, 2*m - 267 = -3*a - 53. Calculate the least common multiple of m and 117.
936
Suppose 42 = -3*v + 204. Let o = -50 + v. Calculate the smallest common multiple of o and 7.
28
Find the common denominator of 721/(-1030)*19/(-12) and -3/16.
240
Let d(t) = -t**3 - 27*t**2 - 27*t + 19. Let p be d(-26). Suppose -43*n - 22 = -p*n. What is the least common multiple of n and 9?
99
Let x = 11 + -1. Suppose 0 = -10*b + 8*b + 40. Suppose -3*i + b = -8*i, 3*v - 2*i = 20. What is the smallest common multiple of v and x?
20
Let s = -12629 - -441943/35. Find the common denominator of s and 24/25.
175
What is the smallest common multiple of 32 and (-32)/3*(56/8 - 16)?
96
Let g = -18 + 50. What is the lowest common multiple of 48 and g?
96
Let b(u) = u**3 + 5*u**2 + 10*u + 2. Let i be b(-7). Let q = 100 + i. Calculate the common denominator of q/(-48) + (-2)/(-2) and 21/11.
88
Suppose -2*y = 5*b - 6, -4*b = 3*y + 2 - 4. Let f = 2 + b. Let t(k) = k**2 + 6*k - 7. Calculate the smallest common multiple of f and t(-9).
20
Suppose 4*s + 34 = 2. Let c(u) = -12*u + 46. Let w be c(3). Let m = s + w. What is the least common multiple of m and 16?
16
Let k(y) = y**2 - 10*y + 10. Suppose -5*m = -3*m - 4*l + 2, -2*l + 10 = 0. Let t(z) = -z**2 - z + 6. Calculate the smallest common multiple of k(m) and t(0).
6
Let y be (548/11)/(30/16). Let v = y - 943/30. Find the common denominator of v and -79/144.
1584
Suppose 43 = j - 2*y + y, -3*y - 45 = -j. What is the lowest common multiple of j and 8?
168
Suppose 0*p - 120 = -p. Suppose -6*f + p = -2*f. Find the common denominator of 65/22 and (151/(-18))/((-20)/f).
132
Find the common denominator of (-11)/(-33) + (-194)/12 and -28/13.
78
Let v = -34 + 54. Let p(d) = -2*d + 10. Let a be p(6). What is the least common multiple of ((-1)/a)/((-7)/(-168)) and v?
60
Find the common denominator of (1/(-210))/((-29)/(-1798)) and -94/105.
105
Let h = 296003/22 - 13458. Find the common denominator of (1/(-17))/((-2)/25) and h.
374
Let g = -7094/9 + 461479/585. Calculate the common denominator of g and 1/117.
585
Let x = -53624 - -5201479/97. Calculate the common denominator of x and 59/2.
194
Suppose 0 = 5*g - 3*v - 0*v, -5*g - 5*v + 40 = 0. Calculate the smallest common multiple of 8 and (13 - 7)/18 + 26/g.
72
Let w = 21/17 - -163/102. Let z = w + -55/12. What is the common denominator of z and -13/3?
12
Let f = -5284 - -211313/40. Calculate the common denominator of f and -89/116.
1160
Suppose -12 = -4*a - 2*x, 8 = 5*a + 3*x - 8. Calculate the common denominator of (-273)/56 + -1 + a and 81/44.
88
Let m(l) = 7*l - 19. Suppose 95*u = 96*u - 3. Let c = 6 + 1. What is the least common multiple of m(u) and c?
14
Let b(z) = 5*z + 87. What is the lowest common multiple of b(-9) and 7?
42
Let c(k) = -k**3 + k**2 - 4. Let x be c(0). Calculate the common denominator of (-260)/270*6/x and 143/24.
72
What is the common denominator of (-9)/(-15) - (-617)/(-70) and (37/(-7))/((-36)/84)?
42
Let j be (-472054)/(-110) + (-2)/5. Let i = 115799/27 - j. Calculate the common denominator of 85/42 and i.
378
Suppose -3*v + 18 = 3. Suppose -v*r + 20 = -10. Suppose 2*k = -s + 48, 0 = s - 3 - 1. Calculate the smallest common multiple of k and r.
66
Let l = -39 - -30. Let z = l + 5. What is the common denominator of (-363)/18 + 2/z and 22/7?
21
Let n = -12 - -45. Suppose 0 = -2*a + 5 + 3. Suppose -b + a*b = n. Calculate the lowest common multiple of b and 9.
99
Let t(m) = -m**2 + 7*m + 4. Let h be (-2 + (-3 - -8))*15/9. Calculate the smallest common multiple of 11 and t(h).
154
Let r = 64 - 48. Suppose 5*q - 60 = 25. Let p = q - r. What is the least common multiple of 2 and p?
2
Let s = 842465/6 + -139616. Let v = -800 + s. Let y = 1921/256 - 1/256. Calculate the common denominator of v and y.
6
Let w = 685 + -665. Let u be (-1)/(-2) - 11/2. What is the lowest common multiple of u/w + (-87)/(-12) and 11?
77
Suppose 14*d - 58*d - 33*d + 1694 = 0. Calculate the lowest common multiple of 21/6*1*2 and d.
154
Let y(p) = 40*p**3 + p**2 - 3*p + 2. Let t be y(1). Find the common denominator of -20/27 and (24/108)/(t/(-474)).
270
Let d = -248 + 1029. Calculate the least common multiple of 11 and d.
781
Let k = -6137516/101 - -60768. Let w = k + -3449/1010. Calculate the common denominator of w and 19/54.
270
Let n be ((-24)/(-18))/((-15)/183). Let g = n + 291/10. Find the common denominator of g and 83/6.
6
Suppose -4 = -4*s + 4. Suppose 0 = s*r - 7*r + 10. Suppose 0 = -a + 5*a - 32. What is the least common multiple of r and a?
8
Let h = 14301/526 - 43279085/3156. Let k = h - -13694. Calculate the common denominator of 115/12 and k.
12
Let s = -623 + 4371/7. Calculate the common denominator of s and -23/165.
1155
Find the common denominator of (-9393)/(-558) + (6 - -1) and 499/(-60) + (-14)/(-35).
12
Let h = 824768249/832979 - 6/118997. Let x = h + -985. What is the common denominator of x and 14/(-12)*3219/(-609)?
42
Suppose -2*d - 3*g = -6 - 2, -2*d - 4 = -3*g. Let y(u) = 13*u + 5. Calculate the lowest common multiple of y(d) and 12.
36
Let l(r) = 7*r**3 + r**2 - 2*r + 1. Calculate the least common multiple of 15*(-40)/(-105) + (-6)/(-21) and l(1).
42
Suppose -5*c + 91 = 4*x, -5*x + 4*c + 14 = -110. Calculate the least common multiple of 21 and x.
168
Let o(j) = j**2 - 17*j + 2. Let d = 9 - -11. Calculate the lowest common multiple of o(d) and 16.
496
Let x = -1/20 + -11/30. Calculate the common denominator of 25/(-3)*9/(-96) and x.
96
Let y = -17 + 39. Let b be 24/(-56)*(0 - 7). Suppose b*t = -9, 0 = -g + 3*t - t + 37. Find the common denominator of y and g.
1
Let v = -28/45 + -3389/990. Calculate the common denominator of v and 1 + (137/(-10) - -2).
110
Suppose -2*n = n - 99. Let b = -22 + n. What is the lowest common multiple of 18 and b?
198
Suppose -23 + 49 = 2*y + 4*b, 2*b + 14 = 2*y. What is the lowest common multiple of 90 and y?
90
Let c = 15427630 - 77549443/5. Let p = c - -398584/5. Let g = 2534 + p. Find the common denominator of g and 46/7.
35
Let o = 1 - -55. Suppose 0 = 8*l - l - o. Calculate the least common multiple of 12 and l.
24
Suppose -3*g - d - 76 - 60 = 0, 5*g + 3*d = -224. Let y = 49 + g. Suppose 26 = -4*c + 154. Wh