 the lowest common multiple of 7 - ((7 - 5) + -75) and 48?
240
Suppose -9*s + 8*s = -12. Let z = -17 - -17. Suppose -3*k + z*l + 53 = -5*l, 5*k - 4*l = 71. What is the lowest common multiple of k and s?
132
Suppose -l + 5*s = 6*s - 4, s - 8 = -2*l. What is the least common multiple of 31 and l?
124
Let p(s) = 39*s**2. Let k be p(1). Let l be 81933/39 - (-6)/k. Let j = l + -6358/3. Find the common denominator of j and 48/11.
33
Suppose 10836779 = -j - 3528477. Let b = j + 143783603/10. Let c = -13094 + b. What is the common denominator of c and -121/20?
20
Let y be (-2916)/(-14) + 12/(-42). Suppose y = 5*m + 2*n, 0*m + 5*m - 2*n - 212 = 0. What is the smallest common multiple of m and 6?
42
Let h be 7/(-14)*3370/(-3). Let x = 2822/5 - h. What is the common denominator of -31/35 and x?
105
Suppose 0 = 2*r + z + 7, -3*z + 30 = -5*r - 8*z. Find the common denominator of ((-67)/(-4) + -1)*r/6 and -137/6.
24
Suppose -2*y - 106 = 4*a, 5*a - 4*y + 87 = -78. Let j = 23 - a. Calculate the smallest common multiple of 2 and j.
52
Let g be 2 - ((-1)/(-3))/((-4)/(-72)). Find the common denominator of 300/8 - 1 - g and 51/8.
8
Calculate the common denominator of -107/28 and -1*(-94)/(-6)*12/28.
28
Let r = 27 - 7. What is the least common multiple of ((-8)/12)/(2/(-24)) and r?
40
Let k be ((-15)/9)/((-1)/3). Suppose 0 = -3*v + k*v - 16. What is the lowest common multiple of v and 2 + -3 + 2 + 1?
8
Suppose 0 = -4*r + 37 + 35. Suppose -36 = 71*d - 69*d. What is the common denominator of -8/5 and r/6 + 134/d?
45
Suppose 11*f = f + 20. What is the least common multiple of f and 27?
54
Suppose -18*t + 1774 - 442 = 0. Calculate the least common multiple of 16 and t.
592
What is the common denominator of 109/22 and 348/3915*103/64?
7920
Suppose -2*f + 6*f + 50 = 3*q, 2*f = 3*q - 40. Suppose -2*s + 89 = -3*w, -s + 4*s - 171 = -3*w. Calculate the lowest common multiple of s and q.
260
Let r(u) = -u**2 + 5*u + 7. Let n be r(5). Suppose -2*p + n + 3 = 0. What is the lowest common multiple of p and 7?
35
Suppose 0 = -4*b + 6*b + j - 30, -3*b + 36 = -3*j. What is the least common multiple of b and 56?
56
Let i(b) = -b**3 - 3*b**2 - 4. Let j be i(-3). Calculate the least common multiple of 6 and (8/(-4))/(j/18).
18
Suppose -25 = -11*z + 6*z. Suppose -4*o + 0 + 9 = -z*i, 2 = -3*i - o. Calculate the smallest common multiple of 1 and (i - 1)/(12/(-18)).
3
Suppose 3*s = s + 8. Suppose 2*b = d - 3 - 2, s*d = 4*b. Calculate the common denominator of 139/12 and 357/(-490) + 1/d.
84
Suppose -2*m + n + 9 - 1 = 0, -5*m + 2 = 2*n. Suppose -4*o + 40 = -m*o. What is the smallest common multiple of 2 and o?
20
Let s = -52909/18 + 2936. Calculate the common denominator of s and -79/18.
18
Let s be 6/27 - 1068/(-54). Calculate the common denominator of ((-19)/(-2))/((-16)/s) and -119/12.
24
Let x = 4092826/1239 + -9910/3. Let z = 95435/9912 + x. Find the common denominator of z and 1 - 67/(-16)*-1.
16
Suppose -4*j = -3*t - 34, -3*t - 16 = -3*j + 8. Let l(r) = -4*r**2 - 13*r - 9. Let v be l(j). Calculate the common denominator of 1/((-7)/(v/8)) and -17/10.
40
Suppose 0*l - l + 49 = 3*p, -l = -3*p + 59. Let h = 70 - 60. Calculate the smallest common multiple of h and p.
90
Suppose 4*v + 5*j - 23 = 0, 2*v - 11 = -j - 4. Let p(z) = -z**3 + 5 - z + 2*z**3 - 7. What is the smallest common multiple of 6 and p(v)?
12
Let u = -39121/1060325 - 3/12118. Find the common denominator of -101/8 and u.
1400
Let d = 649309/35 + -18550. Find the common denominator of 82/45 and d.
315
Let j(k) = 170*k - 22. Let z be j(-22). What is the common denominator of 2967/z - 8/76 and 17/6?
66
Let i(a) = -a**3 - 5*a**2 + a + 7. Let c be (22 + -17)/((-1)/1). What is the least common multiple of 6 and i(c)?
6
Let n(q) = q**3 - 13*q**2 + 16*q - 15. Let v(j) = j**3 - 13*j**2 + 17*j - 14. Let z(k) = -4*n(k) + 3*v(k). Calculate the least common multiple of 14 and z(12).
42
What is the common denominator of (4 + 1276/(-16))/(120/(-4)) and 43/10?
40
Suppose 2*m + 5*f = 79, -2*m - 3*f + 76 = f. Let p = 37 - m. Calculate the lowest common multiple of p and 6.
30
Let g = -4730 - -638563/135. Calculate the common denominator of -13/135 and g.
135
Calculate the common denominator of -33/46 and 35/(-63)*21*6/(-32).
368
Let f(d) be the second derivative of -d**5/20 - 2*d**4/3 + 4*d**3/3 + 4*d**2 + 8*d. What is the lowest common multiple of f(-9) and 4?
68
Let y = 107/21 - 5581/1050. What is the common denominator of -1/6 and y?
150
Let v = -176267/18 + 9788. Find the common denominator of v and -87/22.
198
Suppose 9 = -2*a + 5*a - 3*y, 5*a - 15 = -y. Suppose 43 = -a*k + 2*k. Find the common denominator of k and -71/2.
2
Let t = 35 + -19. Let p(u) = -13*u - 121. Let h be p(-9). Find the common denominator of (h/t)/(2/(-54)) and -1/22.
44
Suppose 8 = 4*w + 4*y, 2*y + 2*y + 16 = 0. Let x(l) = l**2 + 27*l + 15. What is the lowest common multiple of x(-27) and w?
30
Let c = -19 + 12. Let j be (-7)/14 + c/(-2). Suppose -j*g + 9 - 3 = 0. Calculate the smallest common multiple of 3 and g.
6
Let o(u) = -u**3 + 18*u**2 + 90*u + 28. What is the least common multiple of o(22) and 40?
360
Suppose 17*t = 11*t - 6360. Let s = t - -8467/8. What is the common denominator of s and -36/7?
56
Let u = 3083/16 + -193. What is the common denominator of -83/150 and u?
1200
Let a = -41626/7435 + -2/1487. Find the common denominator of 37/56 and a.
280
Let r be (-8)/3*(-12)/8 + 0. Let i = -69/28 + -25/28. Calculate the common denominator of (3 + 0 - r) + 29/(-12) and i.
84
Let d = 1446/5 + -5823/20. Find the common denominator of -133/60 and d.
60
Suppose 0 = t + 4*t - 1780. Let r = -24529/16 - -1532. What is the common denominator of r and (t/(-72))/(2/(-3))?
48
What is the common denominator of 143/140 and (-2)/8 + 12428/2912 + -6?
280
Let c(k) = 22*k + 14. Let h be c(-3). Let u = -36 - h. Calculate the lowest common multiple of u and 6/(-4)*32/(-6).
16
Let w(b) = -b - 5. Let c be w(-6). Let k be 3/c + (-1)/(-1). Suppose 0 = -4*p + 2*j - k*j + 24, p = 2*j + 6. Calculate the smallest common multiple of 6 and p.
6
Suppose 0 = -v - 5*q + 13 + 13, 2*q - 10 = 0. Calculate the least common multiple of v and 8.
8
Suppose p = 2*v + 99, -5 = -8*p + 3*p. Let a = 83 + v. Find the common denominator of ((-38)/6)/(16/6) and a.
8
Let b = 76220 + -3658433/48. Find the common denominator of b and -173/90.
720
Let n = 49334 + -2663963/54. Calculate the common denominator of 56/225 and n.
1350
Let n = 5013 - 1005. Let x be (-3*890/(-105))/(12/(-1893)). Let o = n + x. Find the common denominator of o and 59/7.
14
Let i = 7331/2 - 1143659/312. What is the common denominator of -17/156 and i?
312
Let c(p) = 2*p + 13. Let z = 10 + -13. Suppose 3*h - 2*h - 6 = 0. What is the least common multiple of c(z) and h?
42
Suppose 2*n - 5*t = 105, -4*n + 7*t = 2*t - 215. What is the lowest common multiple of 110 and n?
110
Let c = -495 + 501. Calculate the least common multiple of 95 and c.
570
Let r = -23780 - -570605/24. Find the common denominator of r and 115/12.
24
Let d = 30811 - 1848781/60. Calculate the common denominator of d and 187/60.
60
Calculate the common denominator of ((-170)/84)/(12/(-14)) and 6/20 + (396492/(-720))/47.
36
Suppose -5*j - 60 - 119 = -f, -3*f + 4*j + 559 = 0. Suppose 12*n - f = 51. What is the smallest common multiple of 4 and n?
20
Suppose -12*u = -1 + 37. Calculate the common denominator of (-147)/(-6)*u*(-2)/60 and 37/22.
220
Let a = 4/6523 - -169418/293535. Calculate the common denominator of a and -77/30.
90
Suppose 0 = 3*u - 81 - 27. Calculate the smallest common multiple of u and 54.
108
Suppose j - 3*c - 15 = 0, -4*j + 0*c + 24 = -3*c. Let o be ((-32301)/(-2748))/(-1) + j. Let v = 1/229 + o. Calculate the common denominator of v and 53/10.
20
Let t be (-70)/(-3) + (-6)/(-9). Suppose -h - t = -4*h. What is the common denominator of (0 - 38)*1/h and -71/2?
4
Let r(c) = 1 - c**3 - 11*c + 12*c**2 + 2*c - 3*c + 12. What is the least common multiple of 1 and r(11)?
2
What is the common denominator of (-8 - 114/(-4))/(-44) and 81/16?
176
Let v(z) be the second derivative of -8*z**3/3 - 17*z**2 + 19*z. Calculate the smallest common multiple of v(-10) and 8.
504
Calculate the lowest common multiple of (5 - 31/4)*-16 and 96.
1056
Let i be 175/10*4/5. 