 the least common multiple of t and 8?
8
Find the common denominator of 27/5 and 38/247 - (-1)/((-26)/(-1257)).
10
Let q = 10 + -6. What is the least common multiple of 4/(-14) - 180/(-42) and q?
4
Let r = 3 + 6. Calculate the common denominator of 230/88 + r/(-36) and 13/4.
44
What is the lowest common multiple of 38/209 - (2 - 383/11) and 27?
297
Suppose -6*v - 3*c = -5*v - 10, 0 = -2*v + c - 8. What is the common denominator of -38/5 and (-23)/(-9) - -1 - v?
45
Let k be 18/2 - (-1 + 4). Let x = 9/95 + -5641/380. What is the common denominator of x and (2/k)/((-6)/405)?
4
Suppose -3*a - 5*g = -227, 5*g - 145 = -5*a + 220. What is the smallest common multiple of a and 9?
207
Let d = -21/23 + 2365/46. Calculate the common denominator of -26/3 and d.
6
Let s = -98 - -179. What is the lowest common multiple of s and 6?
162
Let k = 103 - 82. Let v(o) = 7*o**3 - o**2. Calculate the least common multiple of k and v(1).
42
Let z be 2 + (1 - (-492879)/(-54252)). Let g = z - -5/3014. Calculate the common denominator of -97/20 and g.
60
Suppose 0 = -5*j - 2*v - 88 + 8, -5*v = j + 39. What is the smallest common multiple of 8 and (-21)/(-49) - 274/j?
40
Let h = -1/807 - -5704/44385. Calculate the common denominator of 17/5 and h.
55
Find the common denominator of 3/26*34/3 and (17*2)/(3/(-2)).
39
Let y(b) = -b**3 - b**2. Suppose -5*i - 4*v - 14 = -6*i, 94 = 3*i + v. Let m = -14 + i. Calculate the lowest common multiple of y(-3) and m.
144
Let j(m) = -m**2 - 9*m + 9. Calculate the smallest common multiple of j(-9) and 10.
90
Let q(m) = m + 13. Let v be q(-9). Suppose 69 = -3*d + 8*d + w, v*d = -w + 55. Calculate the smallest common multiple of 16 and d.
112
Let q(v) = v + 2. Let l(c) = -c**3 + 16*c**2 - 15*c + 8. What is the smallest common multiple of q(8) and l(15)?
40
What is the common denominator of -97/42 and ((-2)/4 - -2)/(15/(-29))?
210
Let n(b) = b**2 + 4*b - 6. Calculate the lowest common multiple of 14 and n(-8).
182
Let w be 5 - 2 - (-1498)/(-512). Let v = 13127/768 + w. Calculate the common denominator of v and 31/5.
30
Let u be (-9)/(-9)*(1 + 0). Let c = u + 3. Let l(b) = 4*b - 6. Calculate the least common multiple of c and l(6).
36
Let b = 9323/3140 - 160/157. Find the common denominator of b and -75/14.
140
Let a(t) be the first derivative of t**2 + 2*t + 4. What is the lowest common multiple of a(4) and 22?
110
Suppose -u = -4*s - 0*u - 131, -84 = 3*s + 4*u. What is the least common multiple of 2 and s*1*3/(-6)?
16
Calculate the common denominator of 103/14 and 305/(-30)*6/26.
182
Let q be 6551/(-11)*(-114)/4. Let o = q - 16976. What is the common denominator of o and 37/22?
22
Let r be 6/10 - 8/(-20). Let l = -6255/4 + 1577. Calculate the common denominator of r/((9/141)/3) and l.
4
Find the common denominator of -11/16 and 4/((-24)/101) + -4.
48
Let z(k) = k**2 - 4*k + 5. Let p be z(-6). Suppose 3*q - 34 + 4 = -2*d, 0 = -4*q - 4*d + 44. Calculate the least common multiple of q and (-4)/14 + p/7.
72
Let t(o) = 3*o - 17. Let p be ((-2)/(-3))/(4/18). Suppose p*x = 4*q + 12, 3*x - 2 - 37 = -5*q. What is the smallest common multiple of t(9) and x?
40
Let m(v) = -v**3 + 9*v**2 - 7*v + 8. Calculate the lowest common multiple of m(8) and 6.
48
Let b = 9 + -4. Let m be 2*1 - 0/b. Suppose -m*r + 38 = 4*w, 0 = 5*w + r + r - 46. Calculate the lowest common multiple of 16 and w.
16
What is the least common multiple of 27/(-6)*8/(-3) and 2/5*1*15?
12
Let u be 10/4 - 3/(-6). Suppose 6 + 3 = -u*d. Calculate the lowest common multiple of 10 and (-1)/(d/108*2).
90
Let o = -827 + 833. Let m(n) = -n**2 - n. Let z(w) = 3*w**2 + 8*w + 6. Let j(l) = -4*m(l) - z(l). Calculate the least common multiple of j(6) and o.
6
Suppose 30 + 5 = 5*s. Let l = 20 - 9. Suppose 2*o + 3 = l. What is the smallest common multiple of s and o?
28
Let p be (4 + -2)*(-1)/2. Let b = -1 + p. What is the common denominator of (-166)/(-10) + b + -2 and 115/6?
30
Let m = 633991/42 + -144962/7. Suppose -3*o = 3*d - 16791, -5*o = -0*d - d - 27979. Let r = o + m. What is the common denominator of -24/7 and r?
42
Let o = -4 - 16. Let k = 8 - o. Find the common denominator of (-5)/(-2)*(-7)/k and -12/11.
88
Let u = -788611567/616 + 1280213. Let j = u + -3/56. What is the common denominator of 47/10 and j?
110
Suppose 5*w + 5*o + 80 = 0, -2*w + 2*o = 2*w + 40. Let f = w - -32. What is the least common multiple of f and 6?
60
Let k be 38/4 - (-3)/2. Suppose -g - 5*l + k = 0, 3*g + 2*g = l + 81. What is the lowest common multiple of 2 and g?
16
Let c be 2 + -1 - (1 + -5). Suppose 80 = c*z - 0. Calculate the common denominator of 9/8 and z.
8
What is the lowest common multiple of ((-4)/(-6))/(5/105) and 2?
14
Suppose 26*b - 199 = -17. Suppose -w + a + 4 = 3, 3*a - 12 = 0. Calculate the smallest common multiple of w and b.
35
Let n = 371/18 - 50/3. Let b = -2473 + 493. Find the common denominator of (-7210)/b - 4/(-18) and n.
198
Let t(c) = -c**2 + 4*c + 2. What is the least common multiple of 8 and t(4)?
8
Calculate the common denominator of 61/12 and ((-9)/(-270))/(4/(-366)).
60
Let f = -3945/308 - -9/154. Let t be 1*(47 + -1)/2. Calculate the common denominator of t*3*3/54 and f.
12
Suppose -i = i. Suppose 0 = -2*h - 4*f - 24, -h - 3*f - 7 - 1 = i. Calculate the common denominator of 19 and (-145)/6*8/h.
3
Let i = 5 - 10. Let n = i - -9. What is the least common multiple of 6 and n?
12
Let c be -27 - (2 - 3/(-3)). Let k = c + 50. Calculate the lowest common multiple of k and 18.
180
Suppose -o = 3*o - 12. Suppose -o*x - 12 = -7*x, -5*x - 73 = -2*r. Suppose -5*s - f + r = -s, -52 = -4*s - 3*f. Calculate the lowest common multiple of 6 and s.
30
Calculate the common denominator of (-62)/(-10) + (-8)/20 and 52/11.
55
Suppose -g + 62 = 4*i, 8 = 2*i + 2*g - 20. Calculate the least common multiple of 12 and i.
48
Let h = -33 - -47. What is the common denominator of (3 - 2) + h/(-8) and 53/28?
28
Let g = -89 - -92. Calculate the least common multiple of 9 and g.
9
Suppose 4*u - 5*t - 111 = 0, 2*u - 5*u + 4*t = -84. What is the smallest common multiple of u and 4?
24
Suppose 4*x - 4*l = -56, -4*l = -3*x - 30 - 8. Let h = x + 50. What is the lowest common multiple of h and 6?
96
Let a be 138/9 + 1/(-3). Let u = a - 13. Calculate the lowest common multiple of 6 and u.
6
Suppose 1 + 1 = z. Calculate the least common multiple of z and 14.
14
Let q(u) = -u**2 + 3*u + 4. Let j(h) = 3*h - 5. Let f(s) = -s + 2. Let y(b) = 5*f(b) + 2*j(b). Let k be y(3). What is the least common multiple of q(k) and 22?
44
Calculate the common denominator of -55/2 and ((-30)/(-4))/((-33)/(-4)).
22
Let b = -7645 + 68881/9. Suppose -5*f - 20 = 0, -484 = 4*o - 3*f - 0*f. Calculate the common denominator of b and 2/(-5) - o/(-15).
9
Let p(k) = -k**3 - 8*k**2 - 10*k + 1. Calculate the lowest common multiple of p(-7) and 14.
154
Let d be (-1 - (7 + -2))/1. Calculate the common denominator of (575/d)/(-5) + 2 and 48/6*(-11)/18.
18
Suppose -6*i = -0*i. Suppose -63 - 10 = -3*h - 5*k, -3*h + 2*k + 38 = i. What is the lowest common multiple of h and 8?
16
Let o be 4/10 - (-3831)/10. Let d = 404 - o. Find the common denominator of -99/4 and d.
4
Suppose -9 + 5 = -2*b. What is the least common multiple of b and 9?
18
Let w be (1/1)/((-2)/(-10)). Let u = w + -29/6. Calculate the common denominator of -85/14 and u.
42
Let k be 1 - 1 - (-858)/(-14). Let g = k - -1565/14. Suppose 5*p = -26 - 94. Calculate the common denominator of p and g.
2
Suppose 0 = 2*y + 8, 3*y + 7 = -2*a - 1. What is the smallest common multiple of a and 20?
20
Calculate the lowest common multiple of 16 and (8/20)/((-1)/(-50)).
80
Let f = 20/183 - -5593/732. Find the common denominator of 107/20 and f.
20
Suppose p + 0 = 4, 4*o + p - 24 = 0. Suppose -o*k + 7*k = 12. Calculate the lowest common multiple of 14 and k.
42
Let i = 1336441/36 + -37121. Calculate the common denominator of 125/18 and i.
36
Suppose n - 50 = -44. Suppose -2 = -5*j + 18. Calculate the lowest common multiple of j and n.
12
Suppose 3*n + 4*f = 1242, -3*n = -2*f - 61 - 1181. Find the common denominator of -11/10 and ((-5)/(-75))/(4/n).
10
Let k(m) = m**3 - 8*m**2 + m + 9. Let o be k(8). Suppose 155 + 14 = 5*v + 4*q, 0 = v + q - 34. Calculate the common denominator of v and (o/(-3))/(14/18).
7
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