7/12 and y/(-12) + (-1 - 5/(-6))?
12
Let a = -186/245 + 3961/9800. Calculate the common denominator of (-1 - -3)*(-129)/(40635/(-1120)) and a.
1800
Suppose -10*p - 660 = -15*p. Let o(k) = -k**2 - 15*k + 2. Calculate the smallest common multiple of o(-15) and (-3)/(-2)*p/9.
22
Let w = -195 - -113. Let a = w - -90. Let l(t) = -t**3 - 5*t**2 + 5*t. What is the smallest common multiple of a and l(-6)?
24
Let c(w) = 2*w**2 - 20*w - 100. Let b(i) = -i**3 + 4*i**2 - 2*i. Let h be b(3). Suppose -t = -h*t + 54. Calculate the lowest common multiple of t and c(-4).
108
Let b(y) = -10*y + 34. Let h be b(9). Let a = h - -62. Calculate the smallest common multiple of 26 and a.
78
Let t(k) = 169*k + 6298. Let l = 50 - 30. What is the least common multiple of l and t(-37)?
180
Find the common denominator of (15/(-30))/(-34*1/(-38)) and 5 + -6 - (-46)/14.
238
Let p(l) = l**3 - 9*l**2 + 7. What is the lowest common multiple of 216 and p(9)?
1512
Let z = 558/25 - 66327/2975. Let t = 1320 + -2583/2. Let l = -623/22 + t. What is the common denominator of l and z?
1309
Let l(k) = -k**3 - k + 13. Suppose 0 = 4*x + 5*y + 4477, -2*y = -3*x - 1119 - 2256. Let j = x - -1124. Calculate the smallest common multiple of j and l(0).
13
Suppose 23*x - 26084 = -15*x + 36*x. Calculate the lowest common multiple of 6 and x.
39126
Let s be 3*(-2)/18 + (-89)/3. Calculate the common denominator of s/40 - 117/44 and 4/(-6)*(-20)/16.
66
Let a = -235481225/455571 + 24294/47. What is the common denominator of a and 25/7?
67851
Let k(x) = 1976*x + 6. Let i be k(1). Find the common denominator of 71/60 and 3*(-2)/(-39) - i/(-468).
180
Let v = 1382 + -1327. Calculate the smallest common multiple of v and 895.
9845
Let v = 50 + -20. Let j(q) = -q**3 + 4*q**2 + 6*q - 5. Let b be j(5). Suppose 6 = -3*t, k - 3*t + 2*t - 23 = b. What is the smallest common multiple of v and k?
210
Let c be 1/13 + (-19695110)/(-4485). Let f = c + -4392. Calculate the common denominator of -41/9 and f.
207
Suppose -947 = -7*h - 835. Let k(a) = 87*a**2 - a. What is the smallest common multiple of h and k(-1)?
176
Let o(c) = 0*c - 3 + c + 3 + 2. Let y be o(-5). Find the common denominator of 37/7 and 1/y - (-45)/(-81).
63
Calculate the common denominator of 882820/5159946 + (-16)/88 and -44/15.
31695
Suppose -5*u + 4*z = -1256, -5*u + 24*z = 26*z - 1262. What is the least common multiple of u and 1386?
2772
Find the common denominator of 161/702 and 16 - ((-46475)/180)/(-13).
1404
Suppose 3*r - 337 = 3*u - 4*u, 3*r - 4*u = 332. Suppose -44 = -12*s + r. What is the least common multiple of 10 and s?
130
Suppose -30*o + 8 = -26*o. Let u(z) = -16*z + 13. Let h be u(1). Calculate the least common multiple of h/(o + 1) + 17 and 18.
144
Suppose t - 2 = -16. Suppose 2*c - c - 4*h = 24, -3*c + 50 = -h. Let w = c - t. Calculate the least common multiple of 24 and w.
120
Suppose -2*t = -7*t + 20. Let m(c) = -21*c + 132. Let y be m(7). What is the least common multiple of t and ((-6)/4)/(15/50) - y?
20
Let a = 5564233/116 + -47967. Find the common denominator of (-3)/(108/41) - 1 and a.
1044
Suppose -2259 = -m + 3*f, -128*m = -125*m + 5*f - 6665. What is the least common multiple of 745 and m?
2235
Let v = -95/12 + 105/44. Let f = -142/33 - v. Find the common denominator of f and 69/2.
22
Suppose 0 = 180*d - 184*d - 336. Let o = d + 391/5. What is the common denominator of o and 14/73?
365
Suppose 4*r = u - 180, 3*u = 2*u + 3*r + 182. Suppose 3*z - 109 = u. Find the common denominator of 13/(((-44)/z)/((-1)/(-12))) and 55/8.
16
Suppose -64 = -3*j + 5*i, 676*j - 22 = 675*j + 2*i. Calculate the lowest common multiple of j and 394.
3546
Let u = -11616 + 12254. What is the least common multiple of 18 and u?
5742
Let y(g) = 3*g + 1. Let d = -345 + 347. What is the least common multiple of y(d) and 5?
35
Suppose 8*c + 67 = 459. Suppose w - c = -3*t, -32 + 140 = 2*w + t. What is the smallest common multiple of w and 10?
110
Let t = -5401 - -399741/74. What is the common denominator of t and 149/888?
888
Suppose 112 = 108*g - 101*g. Calculate the least common multiple of 21 and (g - 1) + -18 + 16 + 5.
126
Let x be 6*((-13963)/(-62) + 3). Let f = x + -1369. Let d = f - 667/62. What is the common denominator of 145/6 and d?
6
Suppose -84 = 2*x - 4*z, -4*x = -x + 3*z + 135. Let i be 232306/77 - 8/x. Let k = 3011 - i. Find the common denominator of -12/7 and k.
7
Suppose 391 = 7*l - 5*l - 3*m, -m = 3. Let o = -163 + l. What is the least common multiple of 88 and o?
616
Suppose 52*v + 232316 = -101888. Let t = -115627/18 - v. What is the common denominator of 2/195 and t?
1170
Let i be (164/8)/((-2)/12). Let d be (1/i + 0)/((-288)/572778). Let u = d - 440/41. Calculate the common denominator of u and 49/16.
16
Let l = 1/1986 + -18317/3310. What is the common denominator of -37/117 and l?
585
Calculate the least common multiple of 53 + 5 + 12*(-12)/18 and 125.
250
Suppose -124 + 174 = -5*a. What is the common denominator of (-3 - 273/36)/((-55)/a) and 65/3?
66
Suppose -77*l - 88*l + 256410 = 0. Calculate the least common multiple of l and 14.
1554
Let n = -1326 - -3464. What is the common denominator of 109/105 and (-20)/(-90) - n/(-180)?
210
Calculate the least common multiple of 2376 and (-2070)/(-805)*(-2)/3*-7.
2376
Let f(j) = -14*j**3 + 3*j**2 + 5*j + 1. Let t be f(-2). Suppose 312 = 121*z - t*z. Calculate the least common multiple of z and 8.
104
Let b(h) = h**2 - 4*h - 2. Let g be b(5). Suppose -2*i + a = g*i - 4, i - 5*a + 4 = 0. Calculate the common denominator of -1/33 and (0 + (i - 19 - 1))/(-15).
165
What is the common denominator of (18 - 3906/216)/((-903)/(-262)) and -109/14?
5418
Find the common denominator of 234/(-20) + (4 - 0) and (3/(-12) - 0)/(21/(-216)).
70
Let x = 22 + -4. Calculate the lowest common multiple of x and ((-72)/52)/((-76)/(-26) - 3).
18
Let g = -1321/603 - -10/1809. Calculate the common denominator of g and ((-104)/(-20))/(0 - 21/10).
189
Suppose -53*d - 6*y = -57*d + 2862, 2*y + 2149 = 3*d. What is the smallest common multiple of d and 12?
2868
Let f = -761861/13034400 - -21/5431. Find the common denominator of f and -79/2700.
21600
Let j be 1962/(-36) - (-2 + 10/4). Let m = 75 + j. Calculate the least common multiple of 16 and m.
80
Let t = -49935 - -50085. What is the smallest common multiple of t and 2 + 1 + 9*8?
150
Suppose -171 = 5*x - 0*i - 3*i, 153 = -4*x - 3*i. Let f = x - -27. What is the common denominator of -121/30 and f/(-24)*876/(-27)?
30
Let p be ((-5)/(-75))/(630/45775). Let c = p - -82/189. Let x = -3/11 + 625/33. What is the common denominator of c and x?
18
Let m(k) = k + 14. Let g be (4/(-10))/((-2)/(-50)). What is the lowest common multiple of m(g) and (-81 + 89)*(-4)/((-24)/27)?
36
Let w = 81 + -79. Suppose 0 = 4*y - w*y - 10, 2*y + 1182 = -4*c. Find the common denominator of 2/5 + c/60 and -44.
30
Suppose 167 = -4*t + 171. Let k(z) = 6*z + 3. What is the lowest common multiple of k(t) and 21?
63
Let r(h) = h**3 - 44*h**2 + 42*h + 45. Suppose d = 273 - 164. Calculate the least common multiple of r(43) and d.
218
Calculate the common denominator of 2698/532 + (-3)/42 - (-1113)/(-236) and -27/20.
1180
What is the common denominator of (-14)/(-2436)*58 + -2 + (-161)/(-48) and (2/(-12))/(2/(-123))?
16
Suppose -15*z - 6 = -12*z. Let d be (-2*(-1)/z)/((-6)/(-126)). Let t = 43 + d. Calculate the lowest common multiple of t and 18.
198
Suppose 0 = m - 5*x - 28, -5*m + 0*m + 4*x + 98 = 0. Suppose -22*j + 4 = -m*j. Calculate the lowest common multiple of 24 and ((-274)/(-10))/j - (-6)/(-15).
216
Let g = -148568 + 64738. Let p = g - -14754137/176. What is the common denominator of 83/128 and p?
1408
Let k = -92 - -89. What is the common denominator of 36/(-162) + 158/(-504) and k/84*6 + -5?
28
Let m(o) = 1342*o - 12. Suppose 4*n + 2*j + 32 = 0, -2*n - 3*n - 3*j - 42 = 0. Let c be m(n). Let s = 241967/30 + c. Find the common denominator of -14/9 and s.
90
Suppose 5*p + 5359 = -3*d, -4*d - 3219 = 3*p - d. Let z = p + 2093/2. Find the common denominator of ((-218)/(-30))/((-12)/(-15)) and z.
12
Let t = 48/701 - 22505/195579. Calculate the common denominator of t and -103/558.
558
Let t(m) = -m**3 - m**2 + 4*m - 1. Let y = 39 - 42. Let s be t(y). What is the lowest common multiple of 2 and 