 3079. Let a = l + -7499/6. Calculate the common denominator of 43/10 and a.
30
Calculate the smallest common multiple of 68 + -14*(-4)/14 and 3.
72
Calculate the common denominator of (3/(-18)*-6)/(35/71) and 8/5.
35
Calculate the common denominator of (26 - 28)/(256/102) and 61/40.
320
Let u(q) = -q + 28. Let x(i) = 9*i**2 - 2. Let s be x(2). Suppose -s = -2*r + 4*m, 2*r + 2*m - 14 = 20. What is the lowest common multiple of 1 and u(r)?
11
Suppose 5*j = 13 - 3, 5*j = -g + 15. Let d = -13 + 24. Calculate the least common multiple of g and d.
55
Let p = 1450 + -1369. What is the least common multiple of 36 and p?
324
Let t = 1165 - 10534/9. What is the common denominator of t and 71/508?
4572
Let o = 8727/7 + -31177/28. Let q = 4697/36 - o. Let t = -1/145 - 1768/145. Find the common denominator of q and t.
45
Find the common denominator of (-10)/(0 + 24/23) - -4 and 23/42.
84
Let m = 51974 + -12213842/235. Calculate the common denominator of 7/30 and m.
1410
Let r(a) = -6 + 1 + 0 - 3*a. Let v(g) = 10*g**3 + g**2 - 2*g + 1. What is the smallest common multiple of r(-5) and v(1)?
10
Suppose 0 = 3*b - 1 - 11. Let q(z) = 2*z + 14. What is the least common multiple of q(b) and 4?
44
Let b(i) = -i**2 - 20*i - 82. Calculate the common denominator of b(-16) and 103/56.
56
Suppose -3*k - 3 = 15. Suppose 5*c + 3*i = 7*i + 20, 0 = -4*i + 20. Let u = c + k. What is the lowest common multiple of 3 and u?
6
Let s(j) = 6*j**2 + 4*j. Let r be s(-3). Calculate the common denominator of r/(-2) + -3 + 1 and (-19)/(2 + -7 + 0).
5
Let a = -456 + 483. What is the least common multiple of 57 and a?
513
Let l = -381 + 1267. Let t = -7051/8 + l. Calculate the common denominator of -87/50 and t.
200
Suppose 3*c - q - 174 = 70, -4*c = 2*q - 322. Calculate the smallest common multiple of c and 27.
81
Suppose -5*d + 48 = 3*k, 5*k + d + 0*d = 58. Let x = 120 - 72. Let q = 55 - x. Calculate the least common multiple of q and k.
77
Suppose 22*k = 18*k + 160. Let y(n) = 4*n. Let c be y(-5). Let p = c + k. What is the least common multiple of p and 20?
20
Let o = -29221/9162 + -45/509. Find the common denominator of -145/18 and o.
18
Find the common denominator of (-8)/(-6)*915/40 + -4 and (152/36)/(2/(-4)).
18
Let u = -115093/28 + 4110. Let w = 71/70 + u. Find the common denominator of 55/2 and w.
20
Let f be 71*((-193)/5 + 2). Let i = f + 16799959/6465. Let m = 37465/20688 + i. What is the common denominator of 101/18 and m?
144
Suppose 2*q = -4*z + 20, 0*z = 2*z - 6. Suppose 2*d - 3 - 13 = -3*k, -4*d = -4*k - 12. Calculate the smallest common multiple of k and q.
4
Suppose -4*c - 8 = 4*c. What is the common denominator of 52/11 and ((-8)/18)/((-1)/(-16)*c)?
99
Let y = 132 + -126. Calculate the smallest common multiple of 52 and y.
156
Let q = 41783/2946 + -8/491. What is the common denominator of q and (-2)/3 - (-2)/5?
30
Suppose 5*r = -3*p + 44, -5 = 4*r - 5*p - 18. What is the common denominator of 114/28 + -12 + r and -123/10?
70
Suppose -8*i + i = -42. Suppose -4*c = -i*c - 10, -2*k - 7 = c. Find the common denominator of -67/9 and k/3 - (-3300)/72.
18
Let w be (-4542)/(-532) - (-6)/15. Let b = w - 5/133. Let x = -41447/8 - -5189. Calculate the common denominator of x and b.
40
Let s = -1/3103 + -201667/86884. Find the common denominator of 133/36 and s.
252
Let k = -8 - 142. What is the common denominator of (-4)/1 + 204/(-240) and 1785/k*(-2 + 1)?
20
Suppose -4*a - u - 75 = a, -60 = 4*a - 3*u. Calculate the common denominator of -1 + (-6)/(-5)*-2 and 5/a + 180/(-8).
30
Suppose 0 = 4*m + 4 + 12. Let c be ((-3)/m)/(21/8). Let a = c - -23/140. Find the common denominator of a and 13/22.
220
Calculate the least common multiple of (25/(875/112))/(4/10) and 16.
16
Let p = 66 + -67. Calculate the lowest common multiple of (1/4 + p)/((-1)/80) and 6.
60
Suppose 193*f = 202*f - 162. What is the lowest common multiple of 1/(-4) + (-45)/(-20) and f?
18
Let f(u) = -7*u**2 - u - u**3 + 2 - u - 12. Let b be ((-14)/((-2)/(-1)))/1. What is the least common multiple of f(b) and 18?
36
Let m = 183418 + -1109021/6. Let u = -1414 - m. Find the common denominator of 1*5 - (-2 + 1230/84) and u.
42
Let r(q) = q**2 + 11*q - 51. Let f be r(-15). Find the common denominator of -28/5 and (-85)/f*(-12)/8.
30
Let a = 2769340809/190 - 14575408. Let b be (-2274)/(-38) + 3 + -2. Let z = b - a. What is the common denominator of z and 17/10?
10
Let f(l) be the first derivative of -l**3/3 - l**2 + 2*l + 2. Let g be f(-4). Find the common denominator of (-113)/(-2)*2/g and 81/2.
6
Let b = -66601/6948 + 4/1737. Let f = -2168 - -3112. Let a = -1835/2 + f. Calculate the common denominator of b and a.
12
Calculate the lowest common multiple of 95 and 4/(-9) - 6*(-3084)/81.
1140
Suppose -150 = 95*x - 98*x. Calculate the smallest common multiple of 225 and x.
450
Let j = 143/98 + -9097/8820. Find the common denominator of j and -37/70.
1260
Let j = 33 - 11. Let b(x) = 35*x**2 + 1. Let t be b(-1). Let s = -22 + t. What is the lowest common multiple of j and s?
154
Let v be 10*7/(56/36). Suppose v = -8*m + 13*m. Suppose 3*g = -5*b + 39, 2*g - 12 = -2*g. Calculate the smallest common multiple of m and b.
18
Let r = 1816 + -1672. Calculate the least common multiple of 192 and r.
576
Let q(w) = -w**2 - 7*w - 8. Let s be q(-6). Let r(n) = -n. What is the least common multiple of 10 and r(s)?
10
Let n be 2/14 - 80757/84. Let b = n + 971. Let o = 569/60 - b. Calculate the common denominator of o and -37/9.
45
Suppose 5*h - 12 = -3*o, -5*h + 12 = 4*o - 4. Let d be 2/((-6)/(-3 + 6)). Calculate the lowest common multiple of o and (-9 - 0)*(0 + d).
36
Let t = -995 + 21939/22. Suppose -o = -10 - 4. What is the common denominator of (-4)/o - 1310/168 - 3 and t?
132
Let j = -17 + 14. Let t = j - -3. Suppose t = -14*p + 15*p + 25. What is the common denominator of 71/12 and p?
12
What is the common denominator of 11/40 and (-4 - 532/(-64)) + 4 + -7?
80
What is the lowest common multiple of 100 and 2/(-5 - -3) + 51/1?
100
Suppose -3*i = i + 76. Let m = 27 + i. What is the lowest common multiple of m and 66?
264
Let m(x) = 2*x + 60. Calculate the lowest common multiple of 13 and m(-25).
130
Let h be (-8)/(-12)*((-33)/(-6) + 2). Suppose 65 = 5*a - h*z, -5*z + 1 = -4*a + 55. What is the least common multiple of a and 8?
88
Let a = 2604671/15417900 - 2/104175. Find the common denominator of 63/4 and a.
148
Let j = 53096359/392 - 135450. Calculate the common denominator of -19/14 and j.
392
Let h be (-6)/12*(-10667 - -1). Let w = 117363/22 - h. What is the common denominator of 1095/18*12/80*-1 and w?
88
Let l = 456553207/474 - 963184. Let r = l - 20/79. What is the common denominator of r and -53/9?
18
Let a = 55461/3412 - 4/853. Let g = 4589/5 - 928. Calculate the common denominator of a and g.
20
Find the common denominator of -41/27 and (-1155)/(-1134) + 4/(-6).
54
Let r(d) = -d**2 + 5*d + 4. Let n be r(6). Let w(p) = 16*p**2 - 2*p - 2. Let j be w(n). Let s = 397/6 - j. Calculate the common denominator of s and -99/10.
30
Suppose -4*a - 4 = -2*r, 5*a + 17 = 3*r + 10. Calculate the lowest common multiple of 24 and a.
24
Suppose -x = 5*x - 30. Suppose -x*o + 184 = -9*o. Calculate the common denominator of o and 10/(2 + 6/(-4)).
1
Let r = 729 + -699. Calculate the smallest common multiple of r and 102.
510
Let c = 106 + -52. Let l = 69 - c. What is the least common multiple of 12 and l?
60
Let r = 26 - -14. Let v = 24 + -16. What is the least common multiple of v and r?
40
Suppose 4*m - 45 = 27. Let g = 9 - 7. Calculate the least common multiple of 2 - g - -1 - -13 and m.
126
Suppose x + 34 + 2 = 0. Let g be 1/6 - 498/x. Let p = 16 - g. What is the smallest common multiple of 7 and p?
14
Let i be ((-2)/4)/((-5)/30). Suppose i*s + 8 - 2 = 0. Find the common denominator of 22/9 and 4 + s - (-1)/(-7).
63
Let h be -2 + 2*(-5)/(-2). Let d = 40 + 0. Find the common denominator of 332/d + h + -2 and 61/4.
20
What is the least common multiple of 962/(-148)*(1*-5 - -1) and 22?
286
Let v = 107/9 + -37/18. What is the common denominator of (30/(-140))/(18/(-91)) and v?
12
Let n(h) = -4*h. Let z = 224 - 174. Suppose -4*i - b + 60 = 0, 0 = -5*i + 3*b + z + 42. What is the least common multiple of i and n(-1)?
16
Let d(z) = 2*z**2 + 7*z - 