5
Calculate the common denominator of (2/12)/(((-12)/(-484))/(-3)) and 73/21.
42
Let t be (-9)/(-3) - -235 - 2. Let x = -463/2 + t. What is the common denominator of -89/22 and x?
22
Calculate the common denominator of -91/2 and (566/8 + -1)*(-2)/(-12).
8
What is the common denominator of 29/8 and (2 + -1)*51/54?
72
Let s = 1474 + -73681/50. What is the common denominator of 27/4 and s?
100
Let g(m) = 2*m**2 - 3*m + 1. Let c be g(2). Suppose -12 = -4*p + 3*s, -c*p = -7*s + 2*s - 9. Let h = -7 + 15. Calculate the lowest common multiple of h and p.
24
Suppose 5*h - 83 - 102 = 0. Calculate the common denominator of h and 17/6.
6
Suppose -3*q + 9 + 0 = 0. Let a(n) = -2 - 3*n - q + 5*n. What is the least common multiple of a(4) and 2?
6
Let o = 19 + 4. Let u = o + -13. What is the lowest common multiple of u and 22?
110
Suppose -4*n = a + a - 24, 0 = -3*a - n + 61. Suppose 4*r + 2 - 47 = -3*u, -3*r + 3*u + 39 = 0. Calculate the least common multiple of r and a.
132
Let w(o) = o**2 - 3*o - 8. Let i be w(-6). Suppose -3*u + i = 5*q, 2*u - 12 - 2 = 5*q. What is the least common multiple of 5 and u?
60
Suppose 2*b + 48 = 5*v, -5*v + 5*b + 49 = 4*b. What is the smallest common multiple of 5 and v?
10
Let g = -787/2 + 406. Calculate the common denominator of g and -23/9.
18
What is the common denominator of 7/10 and 14/105 + 1922/(-240)?
40
Suppose 5*f - 2998 = -9933. Let h = -11073/8 - f. What is the common denominator of 260/(-24) + 1/3 and h?
8
Calculate the common denominator of 109/12 and (-1)/(-2)*(-3 + (-233)/(-21)).
84
Suppose -o + 5*o = 56. What is the least common multiple of ((-4)/5)/(2/(-50)) and o?
140
Let t = 16211/2 - 126688961/15630. Let o = -711209/171930 + t. Calculate the common denominator of o and -101/18.
198
Find the common denominator of -65/8 and (1 - 1) + 175/(-28).
8
Suppose 110 = 3*z + 5*s, 3*z + 2*s = 4*z - 33. Let m be (30/z)/(1/7). Suppose m = -l + 2*l. Calculate the smallest common multiple of 8 and l.
24
Let d = -20683/418 - 4/209. Find the common denominator of -67/24 and d.
24
Let l = -6181/36 + 681/4. What is the common denominator of l and -54/7?
63
Let r be (-3)/(-12) + (-129)/(-12). Suppose -4*u = -3*u - r. Calculate the lowest common multiple of 4 and u.
44
Suppose p = 3*x - p - 64, -2*x + 2*p = -42. Calculate the least common multiple of x and 20.
220
Suppose -u = -t + 12, 23 + 55 = 5*t + 4*u. What is the least common multiple of 10 and t?
70
Let o = 6 + 4. Let a be 4/10 - (-249)/15. Suppose -b - f = -9, 2*b + a = 4*b + f. Calculate the smallest common multiple of b and o.
40
Let y = 7 + -4. What is the least common multiple of ((-2)/(-5))/((-8)/(-160)) and y?
24
Let m = 420 - 807/2. Let r be (9202 + 1)/(49/(-7)). Let p = -1322 - r. Calculate the common denominator of p and m.
14
Suppose 5*y + 0*y = 20. Let j be -14*((-6)/y)/(-3). Let f(z) = -z - 3. What is the lowest common multiple of f(j) and 18?
36
Let c = 3447 - 13855/4. Calculate the common denominator of -23/4 and c.
4
Let f be -3 - (-6093)/(-4) - 2. Let k = f + 1521. What is the common denominator of 91/24 and k?
24
Let f(q) = q - 8. Calculate the lowest common multiple of 6 and f(9).
6
Let b = 3/220 + -5417/1980. Calculate the common denominator of b and -59/2.
18
Let j(r) = r**2 - 2*r - 1. Let q(g) = 2*g - 9. Let z be q(6). Suppose -z*w = 9 - 36. Calculate the lowest common multiple of w and j(4).
63
Let o(w) = -w - 4. Calculate the common denominator of o(5) and 54/11.
11
Suppose -20 - 12 = -4*g. Let j = 13 + -43. What is the least common multiple of j/(6/4*-1) and g?
40
Let k(g) = -2*g**2 + 7*g + 1. Let y be k(3). Suppose 0 = -0*s + y*s - 48. Let t(d) = -2*d - 8. What is the lowest common multiple of t(-6) and s?
12
Let w = 0 + -3. Calculate the lowest common multiple of 8 + w + (-9)/(-3) and 11.
88
Calculate the smallest common multiple of 2 + 0 - (15 + -10) - -43 and 32.
160
Let g = 21883/9 - 2437. Calculate the common denominator of g and -101/2.
18
Let s(y) = 10*y**3 + 2 - 2 - 1 + 2 - y**2. Let a be s(-1). What is the lowest common multiple of 1 and (-4)/(-10) + (-76)/a?
8
Suppose 2*s = -2*s + 5*y - 5, 3*s - 25 = -2*y. Suppose 0*k + 3*k = 54. Calculate the smallest common multiple of ((-6)/s)/(3/(-20)) and k.
72
Let x = 4 - -10. Calculate the lowest common multiple of (-10 + 1)/(-3) - -3 and x.
42
Let x be ((-18)/(-8))/(3/(-12)). Let t(y) be the first derivative of -y**2/2 - y - 2. What is the smallest common multiple of 11 and t(x)?
88
Suppose 7*q - 3*q - 8 = 0. Let w be 8/12*3/q. Find the common denominator of 46/7 and (3/w)/((-27)/156).
21
Let f(n) = -n**2 - 5*n. What is the least common multiple of f(-4) and 44?
44
Let g = 81293/238 - 5922/17. Let j = 264 - 961/4. Find the common denominator of j and g.
28
Let n = 14844 + -29019/2. Let d = 312 - n. Calculate the common denominator of -99/4 and d.
4
Let m = -75582108294/689 - -109698227. Let a = -35656275/697268 - m. Let g = 1/253 + a. Calculate the common denominator of g and -13/16.
16
Let w = -6067/5214 + 28/237. What is the common denominator of w and -85/8?
88
Let m(h) = 3*h**2. Let b be m(1). Let o = b + -2. What is the least common multiple of 11 and o?
11
Calculate the lowest common multiple of 7 and (14/(-4))/(4 - (-68)/(-16)).
14
Suppose 0 + 16 = 4*l. Suppose 0 = l*x - 5*n + 1121, -5*x - 3*n - 1417 = -4*n. What is the common denominator of (x/8)/(-1 + 4) and -143/6?
6
Let j = 4640 + -18463/4. Let m(s) = s**3 + 6*s**2 + 9*s - 5. Let z be m(-8). Let u = z + 781/4. Calculate the common denominator of j and u.
4
Let w = 46271/8060 - -44/403. Calculate the common denominator of 113/10 and w.
20
Let p = -1631/96 - -37/32. Find the common denominator of p and -10.
6
Let z = 15129 - 332771/22. Calculate the common denominator of (-6 + -1)*119/84 and z.
132
Let j = 5 + -9. What is the smallest common multiple of 1 and 6/j*(-10)/3?
5
Suppose 0 = k - 4*k + 24. What is the lowest common multiple of k and 20?
40
Calculate the common denominator of (-4797)/(-2860) - (-3)/(-15) and -123/10.
220
Suppose 2*u + 2*u - 12 = 0. What is the lowest common multiple of 9 and u?
9
Suppose 5*l = -2*d + 15 + 8, -46 = -3*d + 4*l. What is the smallest common multiple of 6 and d?
42
Let t = 57 + -116. Let d = t - -13. What is the common denominator of 25/2 and d?
2
Let v be ((-7594)/(-12537))/(2/3). Let q = v + 363927497/83580. Let a = q - 4357. Find the common denominator of 93/2 and a.
20
Let k be (-12)/(-2) - (1 + -1). Calculate the common denominator of ((-69)/9)/(8/(-9)) and 194/(-12)*k/(-22).
88
Let t be 17/5 + (-2)/5. Let h(b) = -4*b + t*b - 2*b. What is the lowest common multiple of 12 and h(-6)?
36
Let v = -21 - -85. What is the least common multiple of v and 9?
576
Suppose 6 + 2 = 4*g. Let u be -118 + -2 - (-2 + g). Calculate the common denominator of 8/12 - (-194)/u and 55/14.
140
Let l(x) = -x**2 + 10*x + 5. Calculate the smallest common multiple of l(9) and 8.
56
Suppose r - 204 = 2*f + 732, 2808 = 3*r + f. Let x = -8395/9 + r. Calculate the common denominator of ((-117)/9 - -9) + (-158)/(-8) and x.
36
Let t = 5 + -10. What is the common denominator of -71/18 and t/(-14)*(-54)/(-10)?
126
Let t(s) = -s**2 - 18*s + 5. What is the least common multiple of t(-18) and 2?
10
Suppose 3*p + p = 56. What is the smallest common multiple of 20 and p?
140
Suppose -2*d + 0*d + 10 = 0. Suppose -33 = -d*c + 2*c. Calculate the smallest common multiple of c and 7.
77
Let x = -57/2 + 127/3. What is the common denominator of x and -13/6?
6
Suppose -i - 9 = 4*s - 33, 3*i = -12. What is the smallest common multiple of 3 and s?
21
Suppose 4*f + 0 = 12. Suppose 0 = 2*h + 6*g - g - 12, 5*g - 32 = f*h. Calculate the least common multiple of 4 and ((-2)/2)/(1/h).
4
Let f = -1250/7 + 179. Let u(h) = -h**3 + 7*h**2 + 9*h - 5. Let g be u(8). Calculate the common denominator of f and 2/g - 277/(-12).
28
Let f(k) = -8*k**2 - 4*k + 2. Let o be f(3). Find the common denominator of -123/20 and o/6*(-6)/(-40).
20
Suppose 0 = -2*p - 0*p - x + 30, -5*p = 3*x - 74. What is the smallest common multiple of 11 and p?
176
Let y(r) = 3*r**2 - 1 - 4*r**2 - 4*r + 2 + 14*r. What is the smallest common multiple of y(7) and 2?
22
Let b(f) = 11*f**2 + 7*f + 9. Let t(q) = 6*q**2 + 3*q + 4. Let z(u) = -3*b(u) + 7*t(u). What is the lowest common mul