5/32. What is the common denominator of -20/11 and n?
352
Let i = 21 + -17. What is the lowest common multiple of i and 2?
4
Let u = -482 + 688. What is the common denominator of (304/(-42))/(6/(-7)) and (-8)/20 + u/(-60)?
18
Let i = -3 + 20. Let l = -24 + i. Let q = l - -16. Calculate the smallest common multiple of q and 7.
63
Let w = 2/1089 - 18521/4356. Suppose 0 = -2*m - d - 11, -2*d = 3*m - 0*d + 16. Find the common denominator of m/9 - 506/24 and w.
4
Let f = 13 + -10. Suppose -f*p + 8 = m - 4*p, 2*p - 14 = -3*m. What is the smallest common multiple of m and (-60)/(-3) + 3 + -1?
66
Let i(n) = n**3 - 6*n**2 - 2. Let c be i(6). Let s = c + 16. Calculate the smallest common multiple of 12 and s.
84
Let y(v) = -v + 13. Let f be y(10). Suppose f*x = q - 0*x - 10, 0 = -x. What is the smallest common multiple of q and 11?
110
Let m(a) = 145*a**2 + 7*a + 5. Let r = 6 - 0. Let h be m(r). Let v = -31675/6 + h. Find the common denominator of v and 36.
6
Suppose -5*a + 6*a = 22. Calculate the least common multiple of a and 8.
88
Let h(m) = m**3 + 6*m**2 + m + 5. Let p be h(-6). Let l = 23 + p. Let f = 0 - -2. Calculate the least common multiple of f and l.
22
Find the common denominator of (-5278)/980 + (-2)/5 and -49/18.
126
Let o(h) = -2*h + 2. Let f be o(-2). Suppose -f*y = -y - 60. Calculate the lowest common multiple of 7 and ((-8)/y)/((-4)/66).
77
Calculate the smallest common multiple of 6 and 71/3 - 21/(-63).
24
Suppose -18 = -4*d + 3*m + 52, -3*d - 3*m = -63. Calculate the least common multiple of 12 and 1/(2 + d/(-10)).
60
Let b(n) = -5*n**3 + n**2 - 1. Suppose 0 = 4*g - g - 12. Suppose -3*j = -g*u + 2*u + 1, -5*j - 5 = 0. Calculate the lowest common multiple of 2 and b(u).
10
Let x = 340157017/4345 - 78287. Let g = 186859/52140 - x. Find the common denominator of (-207)/(-60) + 0 + 1 and g.
60
Suppose -14 = -4*c - 2*g, -2*c + 2*g = -1 - 3. Suppose 0*u + 5*u + 5 = -c*z, 0 = -4*u + 2*z + 18. Calculate the least common multiple of 6 and (3/u)/(-3)*-2.
6
Let i = 134 + -127. What is the smallest common multiple of i and 47?
329
Let j = 62 + -39. What is the lowest common multiple of j and 9?
207
Find the common denominator of 44 and (9/(-6))/((-30)/(-78)).
10
Suppose -4*q - 4 = -6*q. Suppose 1174 = q*b + 340. Find the common denominator of b/18 - (-3)/9 and -73/20.
20
Let a be (-1 - 1)*(1 - 2). Let b(u) = u**2 + 7*u + 2. Let q be b(-5). Let m = a - q. What is the least common multiple of m and 22?
110
Let z(l) = -l - 2. Let a be z(-5). Suppose 0 = -2*x - 4*g + 2, -4*x - 2 = a*g - 26. What is the least common multiple of x and 10?
90
Let a be 1 - (1 + -3 - -1). Let r be ((-3)/a)/(3/4). What is the common denominator of -33/2 and (11 - r)/((-1)/(-3))?
2
Let r(d) = d**2 - 10*d - 9. Let s be r(11). What is the common denominator of s*69/264*4 and 57/2?
22
Let a = -6 - -7. Let l be 2 + -2 + 2 + -7. Let u(c) = -2*c + 1. Calculate the smallest common multiple of a and u(l).
11
Let r(m) = -m**3 + 2*m**2 + m + 4. Let k be r(3). Let h be k/12*2*3. Calculate the least common multiple of 12 and (-2 + 7 + h)/1.
12
Find the common denominator of (8/(-48))/((-20)/414) and 133/12.
60
Calculate the common denominator of 1/(-3) - (-3000)/576 and 13/10.
40
Suppose -3*y + 9 = 3*n, -5*n + 18 = 4*y + 3. Suppose -5*l + 5*d = -5, 5*l - n*l = 3*d - 2. What is the smallest common multiple of l and 4?
20
Suppose -n - 35 = -5*b, 4*n + 40 + 10 = 5*b. Suppose 3*f - 24 = -3*g, 0 = b*g - g - 2*f - 54. Calculate the least common multiple of g and 4/26 - 481/(-169).
30
Let t(g) = -g**2 + 8*g - 6. Let o be t(7). Suppose 33 = 4*m + o. Calculate the least common multiple of m and 11.
88
Let z be (-6)/(-30) - 339/(-5). Suppose 18 = 2*t + z. Let i = 47 + t. What is the least common multiple of i and 18?
198
Let w(h) = -h**3 - 13*h**2 + 4*h + 3. Let t = 129/2 - 539/6. What is the common denominator of t and w(-13)?
3
Let t(g) = 2*g**3 - 20*g**2 - 13*g - 6. Let n be t(11). Let y(v) = 2*v - 2. Let s be y(2). What is the common denominator of -28/11 and s/(3 - 237/n)?
77
Let r = 13 + -1. Let t(z) = -4*z - 10. Calculate the least common multiple of r and t(-5).
60
Let l be -2*1/((-4)/6). Suppose -l*s + 6*s = 0. Suppose 44 = -s*t + 4*t. What is the smallest common multiple of t and 10?
110
Let l = 4743/7 - 682. Calculate the common denominator of l and -79/10.
70
Suppose 2*x = -3*x + 280. Find the common denominator of (2/24)/((-2)/141) and (-2)/(-6) + x/(-33).
88
Suppose -3*r = -u - 352, 0 = -3*r - u - 2*u + 336. What is the least common multiple of r and 8?
232
Let p = 5 - -13. What is the lowest common multiple of 4 and (2 - p/1)*-1?
16
Suppose 0 = 5*y - v - 32, 7 - 22 = -5*v. Suppose -5*a + h + 2*h - y = 0, -23 = -3*a - 5*h. What is the least common multiple of a and 9?
9
Find the common denominator of (130/(-4))/(16 - 15) and -37/4.
4
Let p = 146 + -448/3. Find the common denominator of p and -50/3.
3
Let b = -3081/2 + 1509. What is the common denominator of b and 17/2?
2
Let h = 3 + -1. Suppose u + h*y + 0 = -17, -2*y = -2*u - 4. Find the common denominator of u and 89/10.
10
Let n = 14 + -13. What is the least common multiple of 22 and n + 14 + (4 - 7)?
132
Let j = 55201/10 - 5527. Calculate the common denominator of 103/30 and j.
30
Let s = 1579/54 - -34/27. What is the common denominator of s and -25/2?
2
Let p(g) = -g**3 + 4*g**2 + 2*g - 3. Let z be p(2). Let t be z/(-6)*(0 - -2). What is the smallest common multiple of 20 and 3/t + 1 + 2?
20
Let a(c) = -c**2 + 13*c - 3. Calculate the smallest common multiple of a(12) and 12.
36
Let g(v) = 2*v - 22. What is the least common multiple of g(15) and 1?
8
Let v be (-1)/2*(-11846)/(-10). Let c = 591 + v. Let k = -21113/9 + 2349. Find the common denominator of c and k.
90
Let i = 53705/8 - 6724. Let v be 2/(-410)*(-32350)/12. Let s = v - -315/41. Find the common denominator of s and i.
24
Let q = 21743/3 + -39589/6. Let l = q - 693. Find the common denominator of l and -101/8.
8
Suppose 1 - 7 = 3*w. Calculate the common denominator of -37/16 and ((-21)/5)/(w/15).
16
Let z = -628826/79 + 7960. Let t = z - 6585/158. Find the common denominator of (-94)/10 - (-4)/(-10) and t.
10
What is the common denominator of 25/12 and ((-2106)/144)/((-118)/(-8) + -1)?
660
Suppose 2*m = -4*l + 34, -2*m - l = -0*l - 25. Suppose 0 = 5*n - 5*w - 33 - 12, -w = 4*n - 11. What is the lowest common multiple of m and n?
44
Let u be 2 - ((-4478)/(-1122) + -2). Let n = u + 3382/61149. Let j = 1389/436 + n. Calculate the common denominator of 21/5 and j.
20
Let m = -698/5 - -138. Find the common denominator of 13/10 and m.
10
What is the common denominator of (-261)/6*1/(-8) and -9/14?
112
Let h = -391/4 - -4275/44. Suppose -3*j + 2*q = 52, 7*j + 3*q + 93 = 2*j. Find the common denominator of (-1)/j*(1 + 16) and h.
198
Let r(y) = y**3 + 6*y**2 + 2*y + 1. Let g be r(-5). Find the common denominator of 2 - (-1 + 178/g) and 1 + (-3)/30*-28.
40
Let n = -292 - -4677/16. Find the common denominator of (-668)/(-80) + (-3 - 0) and n.
80
Suppose -v = -4*s - 12, -2*s = 2*v - 21 + 7. Calculate the least common multiple of v and 72.
72
Suppose 2*d + 2*d - 2724 = 0. Let q be 3 + 1 + 51 - -1. What is the common denominator of 8/(-28) + d/q and -63/10?
40
Let c = 153 + -145. Calculate the smallest common multiple of 2 and c.
8
Calculate the lowest common multiple of 14 and 18/(-63) - (-114)/7.
112
Suppose -2*a = -6, 5*k + 4*a - 15 = -88. What is the common denominator of k and (4 - 146/24)/((-2)/(-18))?
4
Suppose -4*k - 40 = -2*h, -42 = -3*h + 3*k + 12. Find the common denominator of -7/6 and h.
6
Let j = 33 + -11. Let q be ((-4)/10)/(1/10). Let a = q + 22. What is the lowest common multiple of a and j?
198
Let h be (-4)/(-6)*(-9)/(-2). Suppose -2*g + h*y - 2*y + 33 = 0, 5*y = 4*g - 63. Calculate the common denominator of -75/2 and (-2)/(0 + (-12)/g).
6
Suppose 81*b = 80*b + 6. Calculate the smallest common multiple of b and 21.
42
Let l = 0 - -2. Suppose -l*i = -i + 402. Find the common denominator of ((-12)/18)/((-16)/i) and -67/18.
36
Let q = -972 + 1905/2. Let h = 130699/26884 - -5/2444. What is the common denominator of q and h?
22
Let a = -11261/10 + 1123. Let m(y) = y**3 - 6*y**2 + y - 2. Let i be m(4). Find the common denominator of a and (-2)/(-4) + 261/i.
10
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