2?
82
Suppose 4*x + 5 + 27 = 0. Let a = -6 - x. Calculate the smallest common multiple of a and 7.
14
Suppose -3*d + d = -4. Suppose r + 3 = j + 5, 2*j - 4 = 0. Suppose -w = 6*m - r*m - 14, d*m = 5*w - 10. What is the lowest common multiple of w and 16?
16
Suppose -56 = -15*t + t. Calculate the smallest common multiple of t and 2.
4
Suppose -2*b = 6, -5*b - 1170 = -2*v + 305. Let x = v + -6515/9. Find the common denominator of -131/18 and x.
18
Let h(d) = 7*d**2 + 4*d + 3. Let v be h(-1). Let x = 1 + -5. Calculate the common denominator of x/v - (-121)/(-30) and 70/3.
30
Suppose 0 = -2*j - 2*q + 12, j + 9 = -0*j + 4*q. Let c be -31 - (-1 + -1 + j). Calculate the common denominator of (388/c)/((-5)/(-4)) and 13/6.
30
Let o = 4/3 - 19/15. Let t = -49/60 + o. Find the common denominator of t and 32/21.
84
Let m = 100 + -95. Calculate the common denominator of -45/22 and -1 + m + (-291)/66.
22
Let u = 15019/6 - 2517. Let o be 9/4 + 2/(-8). Calculate the common denominator of o/9 - 148/(-63) and u.
42
Calculate the common denominator of 1/1 + (-6)/(480/302) and 13/132.
1320
Find the common denominator of (-563)/(-120) - (-30)/(-240) - 5 and 23/185.
1110
Let q = -60 + 62. Suppose 78 = q*b + 2*p, -3*b = p - 90 - 17. What is the least common multiple of 22 and b?
374
Suppose -t = -1 - 1. Calculate the lowest common multiple of t and -5 + (12 - (9 - 10)).
8
Suppose -2*m + 96 = -3*w, m + 4*m + 3*w - 282 = 0. Let k = m + -53. Calculate the least common multiple of k and 10.
10
Let i = 81935/18 + -4558. What is the common denominator of (-178)/10*10/(-12) and i?
18
Let g(i) = -i. Suppose 9*f - 14*f = 15. What is the smallest common multiple of (2 - 0) + -2 + 2 and g(f)?
6
Let j = -58 + 57. What is the lowest common multiple of (36/2)/(2/j - -4) and 188?
1692
Let g be (36/15)/((-8)/60). What is the common denominator of -3 - 0 - 134/(-18) and 41*(g/(-15))/(-6)?
45
Let b = 217 + -637. Let p = 3687 - 1790. What is the common denominator of -17/18 and (-1)/(-3) - p/b?
180
Let z be 10*((0 - 5) + 15). Suppose 2*i + z = 6*i. Calculate the smallest common multiple of i and 40.
200
Suppose -d - 2*d - 3 = -2*k, 4*k + 5*d + 5 = 0. Let f(j) = j**3 - j**2 + 57. Let r be f(k). Let l = -35 + r. Calculate the least common multiple of l and 22.
22
Let z(g) = 5*g**2 + 8*g + 4. What is the lowest common multiple of 9 and z(-2)?
72
Suppose 0*b - 22 = 3*b - 4*r, 0 = -3*r + 3. What is the common denominator of -59/8 and ((-249)/165)/(b - 140/(-25))?
88
Let k(n) = -2*n**3 + n**2 + 2*n - 1. Let l be k(-2). What is the common denominator of -124*(l/24 + -1) and ((-134)/(-3) + 1)/(-6)?
18
Let y = -272 + 143. What is the lowest common multiple of y/(-9) + (-4)/12 and 7?
14
Suppose 0 = -37*c + 20*c + 850. What is the least common multiple of 40 and c?
200
Find the common denominator of 381/60 + (-2)/8 and -14 + 14 - (-35)/(-8).
40
Let j = -27 + 23. Let r = 5 - j. Calculate the least common multiple of 10 and r.
90
Suppose -3*a + p + 9 = 0, -4*a - 5*p = -6*a + 19. Let h(n) = 4*n**2 - 3*n + 4. Let w be h(a). What is the lowest common multiple of (w/35)/((-2)/(-100)) and 22?
220
Let z = -200 - -398. Calculate the smallest common multiple of z and 154.
1386
Let l = -3 - -19. Suppose 0 = 2*r - 2*g + 22, 5*r - 2*g + 40 = r. Let o = l + r. Calculate the lowest common multiple of o and 8.
56
Let i be 192/20 + ((-6)/15)/(-1). Let q = 5023/5 + -1012. Find the common denominator of (1/(-10))/(i/(-1325)) and q.
20
Find the common denominator of (-489)/(-18) + 6/18 and 0 - 1 - (-186)/(-48).
8
Let j = -985 - -10818/11. What is the common denominator of 54/11 and j?
11
Let t = -1200113/104 - -11540. What is the common denominator of t and 29/136?
1768
Suppose 7*f - 129 = 25. Let v(r) = r**3 - 8*r**2 + 5*r + 10. Let c be v(8). Let d = 72 - c. Calculate the least common multiple of f and d.
22
Suppose -5*k - 33 = -3*d - 4*k, -d + 4*k = 0. Suppose -12*q = -104 - 35 - 173. What is the smallest common multiple of d and q?
156
Let m = 2636037/1244 - 2119. Let i = -91875/22111 + 322253865/302566924. Let j = m - i. Calculate the common denominator of 59/7 and j.
77
Let q be 164/16 + 5/(-20). Let i be 5/q*(0 + 12). Let o = i + 0. Calculate the least common multiple of 6 and o.
6
Let v be ((-381)/(-6399))/(1 - (-16)/(-15)). Let b = -1/237 - v. Calculate the common denominator of b and -29/7.
63
Suppose -2*s + 0*s + 228 = 4*o, 124 = s - 3*o. Let i = s - -6. Suppose 28 + i = 5*a - 4*z, 2*z - 78 = -3*a. What is the least common multiple of 18 and a?
252
Find the common denominator of 1 + 269/18 + -9 and -61/54.
54
Let w(d) = -4 - 26*d + 25*d + 26. Let b be w(16). Suppose -2*o - 42 = -4*q - b, 2*o = 0. What is the lowest common multiple of q and 9?
9
What is the smallest common multiple of 45 and ((-18)/7)/(19/(-133))?
90
Let y be 1*46 + 13 + -11. Suppose -y = f - 4*f. Calculate the smallest common multiple of 182 and f.
1456
Let l be 30/16*(-12)/(-610). Let v = -177209546/1281 - -968418/7. Let t = l + v. Calculate the common denominator of t and 59/22.
132
Let h = 632489734750079/47460 + -13326795927. Let r = 4/2373 - h. What is the common denominator of 108/(-27)*(-5)/48 and r?
60
Let i = -50117/6 + 8331. What is the common denominator of (-156)/40 - -4 - 4/10 and i?
30
Let k(b) = -85426*b**2 - 2*b - 1. Let o be k(-5). Let i = o + 3856964429/1806. Let r = i + -19/129. Calculate the common denominator of r and 81/20.
140
Suppose 0 = 4*t + 2*h - 0*h - 82, 0 = -2*t + 4*h + 16. What is the least common multiple of t and (-1)/(-3) - 2/(-3)?
18
Suppose -w + k + 5 = -0, -3*w - 2*k + 25 = 0. Calculate the smallest common multiple of 8 and w.
56
Calculate the common denominator of -89/12 and -1 + 755/(-30) + 8.
12
Suppose -965 = -54*b - 209. What is the lowest common multiple of b and 77?
154
Calculate the common denominator of 15/(-2)*(-518)/1400 and (-65)/132*3/1.
440
Let g(k) = -83*k + 356. What is the least common multiple of g(4) and 52?
312
Suppose 2*o + 5*m + 2 = 2*m, -4 = 2*o + 4*m. Find the common denominator of (-1 - 3)*o/14 and ((-642)/(-8))/((-9)/2).
42
Let o = 1567 - 117589/75. Calculate the common denominator of o and 17/10.
150
Suppose 3*m + j = 5*m - 6, 5*j = -m + 14. Suppose m*u - 65 = -u. Find the common denominator of -93/4 and u.
4
Find the common denominator of -58/39 and 1256/(-64)*(34/(-15) + 2).
390
Calculate the common denominator of (-135)/36 - -4 - 158/(-24) and 59/9.
18
Suppose -5*f + 3*t + 5 = 0, -3*f = -8*f - 4*t + 5. What is the least common multiple of 35 and f?
35
Suppose 9*q = 9053 - 27620. Let d = q + 20671/10. Calculate the common denominator of -15/14 and d.
70
Let n(t) = -t - 7. Let l be n(11). Let g = l - -15. Calculate the least common multiple of (-1)/(-2 - g) - -4 and 1.
3
Let l = 116 - 166. Let i = 6702 - 1065625/159. Find the common denominator of i and l.
159
Suppose 0 = 14*h - 6*h - 8. Suppose 0 = -2*y - h + 15. Suppose 2*a + 5*s = -2*a + 38, 0 = 4*a + s - 46. What is the least common multiple of a and y?
84
Let j = -2025 - -36407/18. Let a(r) = 11*r**3 - 9*r**2 + 5*r - 3. Let c be a(-9). Let f = -158401/18 - c. What is the common denominator of f and j?
18
Suppose w - 4*l = l + 32, -3*l - 1 = 2*w. What is the lowest common multiple of 12*-3*(-8)/36 and w?
56
Let o(x) = 5*x**2 - 2. Let j = -721 - -727. Calculate the lowest common multiple of j and o(-2).
18
Let v(t) = 16*t - 26. Let p be v(6). Let m = -38 + p. What is the smallest common multiple of m and 2?
32
Suppose 20*l - 24*l = -40. Calculate the lowest common multiple of 72 and l.
360
Suppose 33*g - 2237 - 337 = 0. What is the smallest common multiple of 18 and g?
234
Find the common denominator of 8/(-48) + 32/9 and 702/2628*(-21)/18.
2628
Let t = -1453 - -1712. What is the least common multiple of t and 370?
2590
Let q = 4061/6 + -695. Find the common denominator of q and 157/114.
114
Calculate the lowest common multiple of ((-18)/(-4))/(158/(-40) - -4) and 6.
90
Let a(m) = -14*m**3 + 5*m**2 - m - 2. Let x(v) = -13*v**3 + 4*v**2 - 1. Let w(y) = -2*a(y) + 3*x(y). Find the common denominator of -3*(-2 - 154/12) and w(-1).
2
Let c = -347/30 + 2/3. Find the common denominator of 3*(73/30 - 1) and c.
10
Let d be (-1)/(-1)*(49 + 4). Let j = d - 2501. Let i = j - -14543/6. Find the common denominator of 1/12 and i.
1