70/(-22))?
24
What is the common denominator of 6 + 0 + ((-49100)/(-384))/(-25) and 121/160?
480
Suppose 5 = 2*z - 0*z + 5*x, 0 = 5*z + x - 24. Suppose 5*f - 95 = -5*r, -3*f + 71 = 5*r - 4*f. Calculate the smallest common multiple of r and z.
15
Let h = 331486889/1526 + -217226. What is the common denominator of h and -71/98?
10682
Let q be (-1)/(((-9)/90)/(4/10)). Suppose -q*p + 13 = -35. What is the least common multiple of 48 and p?
48
Let k = -20 + 25. Suppose 4*d + 25 - 79 = -f, 0 = -k*f + 10. Let l = -33 - -34. Calculate the lowest common multiple of d and l.
13
Let y = -176561009/49560 + 1497/4130. Let a = 3560 + y. Find the common denominator of -115/24 and a.
24
Calculate the common denominator of ((-1089)/(-6))/(-1 + 28) and -44/207.
414
Suppose -2*t + 8394 = 4*d, -d - 15798 = -3*t - 3263. What is the lowest common multiple of t and 6?
25086
Suppose -20*j = -25*j + 5*u - 5, 3*u = j + 5. Suppose 3 = w + 5*s, -4*w + 0*s = -s + 9. Calculate the common denominator of -34/3 and (-51)/w*2*j/10.
30
Let l be (-17)/(-3) - (-4)/12. Suppose -4*h - l*h + 710 = 0. Let y = h - 69. Calculate the lowest common multiple of y and 20.
20
Suppose -2*o - 18 = -5*o. Suppose 0 = 17*f + 270 - 372. Calculate the least common multiple of f and o.
6
Let x = -312522/55 + 5682. Find the common denominator of -59/990 and x.
990
Suppose 2*i - 3*p + 31 = 4*i, 2*p + 10 = 0. Suppose 0 = -8*w + 11*w + 2*u - i, -3*w = -2*u - 31. What is the smallest common multiple of w and 99?
99
Let c be (-20)/25 + 14608/18410. Let x = c + -23333/92050. What is the common denominator of 33/7 and x?
350
Suppose -103*b = -117*b + 378. Calculate the lowest common multiple of 756 and b.
756
Let a be -2*2/(-8)*8. Let b = -4502 - -4486. Calculate the least common multiple of 3 and (-4)/b*a*15.
15
Let b = -116/55 + 293/44. Calculate the common denominator of 29/30 and b.
60
Let l be (1296/(-40))/(12/(-440)). Calculate the common denominator of -5/54 and 8*(-12)/176 - (-3134)/l.
54
Let j(k) = 12242*k + 4. Let y be j(-5). Let f be (-10)/(-10125)*y/16. Let r = f - -1/2700. Find the common denominator of 7/6 and r.
18
Let b = 8695 + -2369. Let r = b + -164539/26. What is the common denominator of r and 79/66?
858
Let t be (-12)/(-60) + -2*(-101)/(-10). Find the common denominator of 83/8 and ((-3)/t)/((-3542)/9625).
184
Let a = 39269 - 78615/2. Calculate the common denominator of 14/(-44)*190/14 and a.
22
Suppose -9 = -r - 2*r. Suppose -25 = q + q - z, -3*q - 33 = r*z. What is the least common multiple of 33 and ((-45)/q + -3)*4?
33
Let j be (-3)/(30/(-4)*9/45). Suppose j*f = -3*c - 50, 4*f = -3*c - 25 - 81. What is the common denominator of 61/4 - f/(-7) and 86/45?
180
Let o(z) = z + 1. Let i(n) = 11*n - 23. Let g(y) = i(y) - 6*o(y). Calculate the least common multiple of g(15) and 20.
460
Suppose -5*t - 3*v = -1090, -5*t + 708 + 362 = -v. Suppose -4*s + 4*p + 396 = 0, 5*s - 287 = -2*p + t. Calculate the smallest common multiple of s and 44.
1100
Let n = -2977 - -952633/320. What is the common denominator of 37/448 and n?
2240
Let y = 1651/612 - 88/51. Let l = -684169/33 - -20734. What is the common denominator of y and l?
396
Suppose 5*x + 2*v + 35 = -2*v, -2*x - 2*v - 16 = 0. Let n(q) = q - 7. Let f be n(8). What is the common denominator of x - ((-49)/84)/(f/40) and 23/114?
114
Suppose 4*l + 225 = -451. Calculate the common denominator of (-26)/l + (-547)/(-78) and 154/(-40) + (15 - 14).
60
Suppose -162 + 927 = 9*h. Let q = h - 70. Calculate the lowest common multiple of 39 and q.
195
Let q = -145/1523 + 211682/479745. Let c = 29/63 - q. What is the common denominator of c and -53/49?
245
Let h = -2305 + 2537. What is the smallest common multiple of h and 24?
696
Let y(a) = -2*a**2 + 17*a + 8. Let d be y(9). Let m be d*(1 + (-6)/4228*706). Let q = 13733/4228 + m. Calculate the common denominator of 109/6 and q.
12
Let z = 54/4199 + -138976/6235515. Find the common denominator of z and 50/27.
1485
Let g = 295799 + -3788889376/12809. Calculate the common denominator of 26/7 and g.
89663
Suppose -12 = -2*l - 3*n, 16 = -3*l + 5*n - n. What is the least common multiple of 1 - l - (17 - 20) and 15?
60
Let b = 340 - 235. Suppose -35*k - k + 315 = 9*k. What is the smallest common multiple of b and k?
105
Suppose 25 = -5*w, -6*h - 5*w + 50 = -h. Calculate the lowest common multiple of 275 and h.
825
Let b = 3086 + -61773/20. Let f = -4277635/54 + 79218. Find the common denominator of f and b.
540
Let n be (-6)/9 - 440/33. Let u(v) = -2*v - 26. What is the smallest common multiple of u(n) and 262?
262
Let m = 7/3912 + -99797/387288. Calculate the common denominator of m and 83/21.
2079
Let a(w) = -w**2 + 79*w - 418. What is the lowest common multiple of a(73) and 428?
2140
Suppose -31*p + 15150 = -22823 + 2261. Calculate the least common multiple of p and 512.
4608
Let n = 2949029/515358 - 2/28631. Suppose 0 = 4*c - 5*r - 4574, -1659 - 641 = -2*c - 4*r. Let h = c + -3406/3. What is the common denominator of n and h?
18
Find the common denominator of 0 + 11*11/(-744) and -79/248.
744
Calculate the least common multiple of ((-20)/80 + 2)*(-7740 - 0)/(-3) and 27.
40635
Let l be (-60)/((-372)/52 - -7). Let h = -11 + 6. What is the common denominator of -57/52 and ((-17)/h - 3)/((-112)/l)?
364
Suppose -7*d + 4*d = 5*k, 0 = -3*d + 5*k - 30. Let z(a) = -1101*a - 22. Let f be z(d). Let h = 87783/16 - f. Calculate the common denominator of 39/8 and h.
16
Let g = -1510 - -551153/365. Let x = g + 14229/730. What is the common denominator of ((-4)/70)/((-7112)/(-2360) + -3) and x?
14
Suppose -27*r + 18*r = 81. Let n(p) = p**3 + 9*p**2 + 2*p + 20. Let f be n(r). Suppose f*x - 5 = -3. Calculate the smallest common multiple of x and 11.
11
Let h(k) = -3 + 4 - 3*k + 36*k**3 + k**2 + 1. Let t be h(1). What is the common denominator of (-668)/t + 2 + 4/18 and -11/21?
21
Let b be 2/10*-1 + (-1086)/(-30). Let r be (b/(-27))/((-4)/(-114)). Calculate the smallest common multiple of r/(-6) + (-5)/15 and 10.
30
Suppose -2*v - 2*d - 37 = -3*d, -4*v - 79 = -3*d. Let t = -14 - -19. Calculate the common denominator of 46/9 and (v/t)/((-132)/(-150)).
99
Let t = -89 - -70. Let y = 45 + t. Calculate the least common multiple of 2 and y.
26
Let l = 3465 + -3445. What is the least common multiple of l and 522?
5220
Let k = -533 - -592. Suppose -t + 2*w + 25 - 8 = 0, -k = -5*t - 3*w. What is the smallest common multiple of 3 and t?
39
Let l(g) = g**3 - 2*g**2 + 3*g + 1371. What is the least common multiple of 30 and l(0)?
13710
Suppose -3*u + 3136 = -2*u - 2*x, 0 = -5*u + 3*x + 15659. Calculate the smallest common multiple of u and 10.
3130
Let x(a) = -4*a + 56. Suppose 5*i + 21 = -d, -4*i + 0*d = d + 17. Let l be 0 + 9 + i + 4. What is the lowest common multiple of 20 and x(l)?
20
Let b be 2 - -1 - (-6 - -6). Suppose -7*c + 256 = -b*c. Let h = -36 + c. Find the common denominator of h and -31/15.
15
Let r be 869/66 + (-1)/6. Suppose -10*z - 18 = -z. Find the common denominator of (-1077)/(-858) - z*1/r and 145/6.
66
Suppose -4*b = 5*w - 102, 2*b = b - 3*w + 29. Let i = b - 2. Calculate the least common multiple of i and 1.
21
Let f = 834 - 1242. Find the common denominator of -31/69 and -11 - -2 - 1598/f.
276
Calculate the common denominator of 95/282 and 219010/(-361900) + 3/7.
1410
Suppose 0 = -445*s + 441*s + 2*m + 934, 3*s + 3*m - 705 = 0. What is the lowest common multiple of 18 and s?
234
Let f(s) = -s - 1. Let j be -284*(-7)/168 + 1/6. Suppose -j*v - 2*v = -126. Calculate the smallest common multiple of v and f(-3).
18
Let w = -1123/10 - -558/5. Let n = -119/262 + -16853/4716. Find the common denominator of n and w.
180
Calculate the least common multiple of ((-78)/4)/((72/(-14976))/((-1)/(-6))) and 44.
7436
Let g(l) = 12*l**2 + l - 2. Let t be g(1). Let n = -9 + t. Suppose -n*i - 3 = -35. Calculate the smallest common multiple of i and 10.
80
Let g(j) = 1154*j + 1503. Calculate the smallest common multiple of g(0) and 835.
7515
Suppose 306 = 15*j - 99. Let f = -35 + 46. Suppose 0 = -f*c + 8*c + j. Calculate the smallest common multiple of c and 8.
72
Let b = 1901/3 + -85561/135. What is the common denominator of -107/36 and b?
540
Suppose 43*s + 9881 - 36713 = 0. Calculate the smallest common multiple of s and 78.
624
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