z = 20618 + -8494595/412. Find the common denominator of -99/238 and z.
49028
Let c(b) = b + 13. Let o(s) = -s**2 + 4*s - 12. Let n be o(3). Calculate the least common multiple of 35 and c(n).
140
Let q(w) = -w - 8. Let s be q(-12). Suppose -s*x + 82 + 42 = 0. Find the common denominator of 87/26 and x.
26
Let q be 256/160 - 2/(-5). Let r be (-4 - (-2 + -33)) + -4. Find the common denominator of q/4 + 0 - (-192)/r and 103/10.
90
Let d = 18 - 12. Let g = -3952 + 31575/8. Find the common denominator of (d/(-60))/(2/5) and g.
8
Find the common denominator of -5/172 and -1*15/12*(-1)/((-725)/490).
4988
Suppose 0 = -28*y - 16*y + 8297 - 377. What is the lowest common multiple of y and 60?
180
Let r = -33/137 - 10975/1644. Let i = -25519237/11 - -2318421. Let y = i - -1508. Calculate the common denominator of r and y.
132
Suppose 0 = -9*f + 13*f - 240. Let x = -678 + 683. What is the least common multiple of x and f?
60
Let q be 253/77 - 2/7. Let a = q - 3. Suppose 5*s - 3*j = 2*j - 40, a = 2*s - 4*j + 10. Calculate the common denominator of -1/9 and s.
9
Let x be 2/(-1) + (5 - 1). Suppose -5*r - 5*a = -x*r - 50, 3 = 3*a. Suppose -19*v = -15*v - 16. What is the least common multiple of r and v?
60
Let y = -1065 - -1209. Suppose -3*z - z = -24. Calculate the least common multiple of y and z.
144
Let c = 60178 - 2346418/39. Let z = -1025 + 13322/13. Let n = z - c. Calculate the common denominator of -13/5 and n.
15
Find the common denominator of 5/(-10) + (-52)/(-82) and (-2)/(-12) - 190/1881*177/5.
902
Suppose -g + 4*g + 840 = 0. Let z = 1148602/9 - 12607088/99. Let x = z + g. Find the common denominator of 83/21 and x.
231
Suppose -g = 4*u - 92, 5*g - 481 = u - 0*u. Suppose 377*t = 413*t - 432. What is the smallest common multiple of g and t?
96
Let w = -19620 - -2589715/132. Find the common denominator of 39/40 and w.
1320
Let s(g) = -2*g + 74. Let w(c) = -8*c - 98. What is the lowest common multiple of s(7) and w(-19)?
540
Calculate the common denominator of ((-4)/(-624))/(27/(-102)*(-230)/60) and 11/36.
10764
Calculate the lowest common multiple of 208/(-10 - -23) + 14 and 480.
480
Let u(g) = g**2 - 141*g + 428. Suppose 5*p + 0*p - 10 = 0. Suppose 3*r + 5*h = 36, 7*r - p*r - h - 60 = 0. What is the smallest common multiple of u(3) and r?
84
Let s(l) = l**2 + 11*l - 50. What is the least common multiple of s(-15) and 89?
890
Suppose -25 = -6*t + 5*t - 23. Calculate the lowest common multiple of 119 and t.
238
Let z = 25848 - 25809. What is the least common multiple of 1350 and z?
17550
Suppose 2*v + 3 = -w, 2*w - 4*v + 28 = -2. Calculate the common denominator of ((-12)/w)/1 + (-451)/192 and -29/32.
64
Let s(y) = 8*y - 14. Let c(l) = -20*l - 196. Let v be c(-10). What is the least common multiple of s(v) and 122?
1098
Let b(g) = -g + 10. Let j be b(10). Suppose j = 7*n + 2*n - 54. Find the common denominator of -3/16 and (-21)/(-72)*(-7 + n + -3).
48
Suppose -21 = 2*g - 25. Suppose -5*a + 5*i = -23 - 107, 0 = -5*a + 3*i + 126. What is the lowest common multiple of g and a?
24
What is the common denominator of (13 - (-4068)/(-270))*-2*1/22 and 149/54?
2970
Suppose -3*h + 5*x - 399 = 0, -2*x + 5*x = 3*h + 405. Let o = 141 + h. What is the lowest common multiple of o and 111?
111
Suppose -391*d + 389*d + 2640 = 0. Suppose d = 17*u - 1485. What is the smallest common multiple of 4 and u?
660
Let i = 900 - 1851/2. Let v = -1115563/60 + 18592. Let t = v + 3233/660. Calculate the common denominator of i and t.
22
Let d(h) = 4*h**2 + 4*h + 4. Let m(l) = -19*l + 18. Let t be m(-7). Suppose -16*a + t = -41. Calculate the smallest common multiple of a and d(-3).
84
Let s = -141 - -135. What is the common denominator of 13/2 and (36/(-477))/((16/s)/4)?
106
Find the common denominator of -13/2543 and (37/(-296))/((-4)/408).
10172
Let x = -645 + 624. What is the lowest common multiple of 64 and 6/x - 14586/(-91)?
320
Suppose 4*m - 30 = -m. Suppose 0 = -0*r - 3*r + m. Let n = 8 - -4. Calculate the lowest common multiple of r and n.
12
Let x(h) = h**2 - 10*h - 3. Let w be x(16). What is the common denominator of (5 - w/(-2))/11 and 2/8 + 79/(-4)?
22
What is the common denominator of 66/(-121) - (-168)/(-55) and -59/824?
4120
Suppose 28 = 8*p - p. Suppose -2*r = -3*r + 3*l - p, 0 = r - l. Suppose -r*k + 4*j = -8, 3*k + 0 = -j + 5. Calculate the smallest common multiple of 1 and k.
2
Suppose 4*o - 2 = 2*o. What is the smallest common multiple of 64*30/36 - 2/(-3) and (-3 - o)*(-2 - 2)?
432
Suppose q - 352 - 369 = 4*d, -2*q - 718 = 4*d. Suppose b = 2*c + 3*c + 49, 0 = 2*c + 2. What is the lowest common multiple of (d/50)/(2/(-20)) and b?
396
Let w = 1537/56 + -217/8. Let q = 4969/7 - 219189/308. Calculate the common denominator of q and w.
308
What is the smallest common multiple of 1276 and 10/20*(4 + 1852)?
10208
Let r be (4/3)/(3918/(-261)). Let w = r + -89723/11754. Find the common denominator of w and -23/66.
198
What is the smallest common multiple of -5 + -4 + (19 - -10) and 3958?
39580
What is the lowest common multiple of 188 and 5 + (-1080)/220 - (-6201)/33?
188
Let z(v) = -2*v - 3. Suppose 0 = -q + 3*q + 14. What is the smallest common multiple of z(q) and (((-234)/(-9))/104)/(1/8)?
22
Let v(o) = -o - 13*o - 9 + 2 - o**2 + 41. Let j be v(-16). Suppose -j*f + 9 = -11. Calculate the least common multiple of f and 8.
40
Let p = -93797/80 - -5837/5. What is the common denominator of ((-14)/20)/((-32)/16) and p?
80
Calculate the lowest common multiple of 4 - 2*(-21)/(-14) and (-402)/(-12) + (-1)/2.
33
Let n be (72/(-100))/(8/(-90130)). Let r = -10707 + 18830. Let c = r - n. Calculate the common denominator of c and -67/8.
40
Suppose 12*u + 138 = -11*u. What is the common denominator of -73/33 and (-20077)/2601 + (2 - u)?
1683
Calculate the common denominator of -55/39 and (-184)/(-23) + 1106/(-145).
5655
Let h = -453 - 188. Find the common denominator of 1/(-4) + (h/(-60) - 6) and 155/42.
210
Find the common denominator of 2/(-1218)*257 + (-50)/35 + 1 and 15/67.
5829
Let l(q) = -q**3 + 22*q**2 + 29*q - 48. Let x be l(23). Suppose 3*d - 106 = 5*m, -x - 58 = -4*d + 5*m. What is the common denominator of 71/15 and d?
15
Let t be (12/(-18))/(2/12) + -2. Calculate the common denominator of -64/35 and ((-165)/(-84))/((-9)/t).
210
Find the common denominator of -55/148 and ((-45)/(-75)*10/15)/(16/(-98)).
740
Suppose 3*h - 6 - 63 = -n, -2*h = 4*n - 46. Let b = 39 - h. Suppose 4*w - 56 = -0*w. What is the lowest common multiple of w and b?
112
Let x be 390/12 + 1/2. Let f = -41 + x. Let k(m) = m + 16. Calculate the least common multiple of 6 and k(f).
24
Let p = -74 - -79. Suppose 10*c = 14*c - 72. Suppose 3*n + 6 - c = 0. What is the smallest common multiple of p and n?
20
Suppose 0 = -4*q, 5*b - 2*q - 107 = 68. Suppose -4*g + 195 = 3*w, -2*g + g + 2*w = -b. Calculate the lowest common multiple of g and 24.
360
Let t = -3001/14 - -220. What is the common denominator of -11/4 and t?
28
Let x be 122 - 1 - (1 + -1). Let h = x + -95. Find the common denominator of 23/30 and 33/10*h/(-117).
30
Suppose -x - 5 = 0, -c + 2*x - 40 = -2*x. Let j = c - -75. Find the common denominator of 139/j + 4/(-6) and -11/21.
105
Let t(m) = m**3 + 2*m**2 - 23*m - 51. Let n be t(-3). Let j be 24/5 + (-2)/(-10). Suppose j*r - 19 = -n. What is the least common multiple of 10 and r?
10
Let a be 76235/(-2)*2/(-38560). Let p = a - 2/241. Calculate the common denominator of p and -1/160.
160
What is the lowest common multiple of 1122 and 402/4 + -3 + 5 - 3/6?
1122
Let h = -3244 - -2472. Let y be 2 + (-7711)/10 + -1. Let k = h - y. Calculate the common denominator of k and -127/6.
30
Let f(a) = 59*a - 9. Let u be f(-6). Let x = u - -413. Calculate the common denominator of x and 107/156.
156
What is the least common multiple of 22 - (23 + (-295)/5) and (-2)/(-4 - (-2)/1)?
58
Find the common denominator of -47/177 and (23/(-54))/(24/48).
1593
Let c = 109659/35 - 15867/5. Let i = -7097/168 - c. Find the common denominator of 47/54 and i.
216
Let f = -3907309/60 + 65119. What is the common denominator of (-321)/(-1440)*6 + (-3)/4 and f?
240
Suppose -2*v + 3*a = -35, -2*v + 8*a - 4*a = -36. Let f(g) = -2*g. Let m be f(-6). Let d = 6 + m. Calculate the smallest common multiple of d and v.
144
Let t