Let d = 9605925187/47118 - -2270/7853. Let k = -4050346/21 + d. Let o = k + -11003. Calculate the common denominator of -91/8 and o.
56
Let h = 1110479/75 + -14806. What is the common denominator of -173/30 and h?
150
Suppose 0 = -4*f - 5*x + 1491, -3*f = 4*x - 484 - 635. Calculate the smallest common multiple of f and 10.
3690
Suppose 0 = -i + 3*d - 17, 0*i - 4*i - 18 = -2*d. Let n(c) = c**2 + 3*c - 1. Let v be n(i). Calculate the least common multiple of 3 and -2*v/2 + 2.
15
Let x(z) = z**3 + 3*z**2 - 8*z - 1. Let o be x(-4). Suppose -4*u + o = -21. Calculate the least common multiple of u and 12.
36
Calculate the smallest common multiple of 153 and ((-1)/(-6) + 27761/(-102))/(-2).
1224
Let q = 257 + -233. Calculate the least common multiple of 3 and q.
24
Let u(h) = h**2 + 4. Suppose -6 = 2*p - 4*p. Suppose -a - p + 5 = 0. Calculate the lowest common multiple of a and u(-4).
20
Let j = 94697/12 + -7885. Let p = 8269/10 - 821. Find the common denominator of j and p.
60
Suppose 7*p + 9*p - 384 = 0. What is the smallest common multiple of 30 and p?
120
Let m = 18 + 6. Suppose 5*u = -3*d + 44, -d - 2*u - 2*u + m = 0. What is the smallest common multiple of d and 1/(-4) + 42/8?
40
Let t(r) = r + 26. Let z be t(-18). Let l be 8/(z/(-4)) + 37. Suppose 44 = 5*q - 3*y, 5*q - y - l = 15. What is the least common multiple of 22 and q?
110
Let t = 23 + -18. Calculate the least common multiple of 20/3*6/t and 7.
56
Suppose 3*y + 5*s = 1943, 2*s = -0*y - 4*y + 2572. Let h = y - 3859/6. Let u = 36/35 + -257/420. Calculate the common denominator of u and h.
12
Let q = 2111/1476 + -37/41. Find the common denominator of 91/6 and q.
36
Let w = 186 - 104. Suppose -y - 30 = 3*t, y - 50 = 4*y + t. Let d = y - -19. What is the lowest common multiple of d and w?
164
Let y(s) = s + 3. Let h be y(2). Suppose -h*c - 135 = -10*c. Suppose 5 = 3*i + d - 20, 4*i = 5*d + c. What is the smallest common multiple of i and 16?
16
Find the common denominator of 115/54 and 30/7*(-4 + 119/35).
378
Let n = -18 - -14. Let i be 3/n - (-188)/16. Let m = 18 - i. Calculate the least common multiple of 2 and m.
14
Suppose 0 = 4*t + o - 50, -32 = -2*t + 3*o - 7*o. Suppose 0 = p - t. Suppose f = 5*f - p. What is the lowest common multiple of 5 and f?
15
Find the common denominator of 2462/160 + -9 + -7 and -1/40.
80
Let p = -48 - -64. Calculate the lowest common multiple of 290 and p.
2320
Let h = 207/22 + 1/11. Find the common denominator of 0 + -12*(-1)/80 and h.
20
Let w = -24960 + 24967. Calculate the least common multiple of w and ((-6)/(-2))/((-1)/(-9)).
189
Suppose -2*m + 6*m - 4*k + 32 = 0, -17 = 4*m - k. Calculate the common denominator of (m/(-162))/(1/116) and -29/33.
297
Let x(y) = y - 2. Suppose -36 = 5*r - r. Calculate the least common multiple of x(3) and (4/6)/((-1)/r).
6
Suppose -105*n - 126 = -112*n. What is the least common multiple of ((-6)/9)/((-4)/18) and n?
18
Calculate the lowest common multiple of (3/6)/((-1950)/488 - -4) and 8.
488
Let x = -19832579/132 - -150246. What is the common denominator of (-42)/5 + 2/(-4) and x?
660
Let d be (1 + -2)/((-62)/(-70)). Let k = 247/248 - d. Calculate the common denominator of k and (-339)/30 - 2 - -3.
40
Suppose n - 29 = 3*m - 12, n - 5*m - 17 = 0. Calculate the least common multiple of n and 2.
34
Let y be (-9 + -1 + 5)/(-1). Let b(s) = -2*s - 3*s**3 + 4*s**3 + 4*s - 5*s**2 - 7. What is the least common multiple of b(y) and 5?
15
Let t(l) = -l**3 + 2*l**2 + 4*l - 2. Let b be t(3). Let d = 8/41 - -1757/451. Calculate the common denominator of d and b + -2 - 4/(-18).
99
Let s = 21 + -10. Calculate the lowest common multiple of s and (1 - -1*9)*(-6 - 324/(-45)).
132
Calculate the common denominator of 5265/810*((-21)/(-22) - 1) and 55/36.
396
Suppose 3*u - 18 = -5*h + 47, 0 = -5*u - 4*h + 104. What is the smallest common multiple of u and 160?
160
Let p = 600051/1276 + -322/319. Let d = -466 + p. Calculate the common denominator of d and (-1)/4 - (-414)/(-88).
44
Suppose 4*t = -4 + 24. Suppose 0 = 2*k + 3*k - t*l - 75, 5*k = -4*l + 102. What is the least common multiple of 1 + 10 + 6 + 1 and k?
18
What is the lowest common multiple of ((-20)/(-2))/(-8 - (-1398)/174) and 6?
870
Let n(h) = -h**3 - 11*h**2 - 23*h + 4. What is the lowest common multiple of 14 and n(-9)?
98
Let a = 1697 + -15266/9. What is the common denominator of 75/82 and a?
738
Suppose -22*h - 20*h + 504 = 0. Calculate the smallest common multiple of 148 and h.
444
Let y be -2*2 - (-34 - 0/(-3)). Suppose 6*f - y = f. Suppose 0 = -3*h - 9 - 6, -17 = -r - h. What is the lowest common multiple of r and f?
66
Let g(n) = -6*n**3 - n**2 - n + 1. Let w be g(1). Calculate the common denominator of 122/36*(-4 - w) and 3247/340 + 1*-4.
60
Suppose 2*d + 0*l - 298 = 4*l, -3*d + 451 = -4*l. What is the smallest common multiple of 30 and d?
1530
Let w(d) = 4*d**3 + d**2 - 1. Let m be w(1). Suppose -m*k - t + 11 = 0, -2*k + 5*t = 3*k + 5. Calculate the least common multiple of 36 and k.
36
Let n be (-1 + -1)/((-17)/(-34)). Find the common denominator of n + (-3 - 388/(-88)) and (-2 + 181/(-10))/3.
110
Calculate the smallest common multiple of 38/12 - (-5)/(-30) and (-7)/42 + (-597)/(-18).
33
Let v(p) = 11*p**2 + p - 20. Let h = 24 + -35. Let q = -5 - h. Calculate the smallest common multiple of q and v(2).
78
Let f be (-3)/(42/4) + (-177438)/42. Calculate the least common multiple of (-1)/6 - f/150 and 10.
140
Let b(k) = 3*k**2 + 10*k + 12. What is the lowest common multiple of 8 and b(-2)?
8
Let p = 65 - 43. Let k = -69 + 85. What is the least common multiple of k and p?
176
Suppose 0 = 3*o + 4*k - 21, 0 = -4*o + 3*k + k. Let f = 18 - 8. Calculate the lowest common multiple of (-1)/(-4)*4*o and f.
30
Let j = 13/166 + -2989/5312. What is the common denominator of j and -133/6?
192
What is the least common multiple of (-5)/(-4) + (102/8)/1 and 11?
154
Let o = 11548/325 + -438/13. Calculate the common denominator of o and 29/10.
50
Let x(g) = g + 8. Let h be x(2). What is the least common multiple of 45 and 2*h*17/34?
90
Let x = 26273/6 - 4395. Let m be ((-10)/420)/(8/509). Let k = -11/112 - m. Calculate the common denominator of k and x.
12
Let t = -851 - -10205/12. Find the common denominator of 1167/(-252) + 85/51 and t.
84
What is the common denominator of (2/6)/(0 + (-120)/513) and -41/65?
520
Suppose 0 = -4*k + 5*k - 2. Suppose 0 = -0*t + 11*t - 22. What is the lowest common multiple of k and t?
2
Suppose 0 = -6*j - 2 + 14. Suppose -j - 10 = -a. What is the lowest common multiple of a and 12?
12
Let p(m) = -m**2 - m + 21. Let l be p(0). Let o = 16 - l. What is the lowest common multiple of 10 and 52/10 + 1/o?
10
Let v be (-12)/30 - 27/(-5). Suppose w = v + 5. What is the least common multiple of 2 and w?
10
Suppose -2*s + 3*g = -g - 42, 5*s = -2*g + 45. Let y be 2/4*-10*1. What is the lowest common multiple of 3/y - 86/(-10) and s?
88
Calculate the least common multiple of (4/3)/(10 + 3724/(-378)) and 69.
207
Suppose -272*t = -276*t + 104. What is the smallest common multiple of 1 and t?
26
What is the smallest common multiple of 8 and ((-24)/48 - 17/6)*-3?
40
Let m(h) = 5*h - 7. What is the lowest common multiple of 108 and m(5)?
108
Let x be (-489)/(-60) + 5 + -5. Let m = 5/4 - x. What is the common denominator of m and -97/10?
10
Let l be (-5293)/((-8)/(-10)*8175/10). Let d = -8/109 + l. What is the common denominator of -27/16 and d?
48
Calculate the least common multiple of 316 and 13 - ((-175)/(-70) - (-1)/2).
1580
Suppose -5*j = -33 - 12. Let l(r) = -r - 9. Let z be l(-12). Suppose -q = z*q - 4. What is the smallest common multiple of q and j?
9
Let t = 138/1885 + -326951/475020. What is the common denominator of -61/66 and t?
2772
Let m = -12 - -15. Suppose 4*q = m*a + 9, 5*q - a - 2*a = 9. Suppose q*d + 2*d = 2*z + 18, 5*d = 4*z + 44. Calculate the least common multiple of d and 5.
40
Suppose -j = 0, l - 2*j - j - 11 = 0. Calculate the lowest common multiple of l and 1060.
11660
Let n = -2764921/42 - -65835. Calculate the common denominator of n and -3/14.
42
Let p(y) = 4*y**2 + 2. Let i be p(2). Calculate the common denominator of (-28)/48*i/(-16) and 959/(-42) + 3 + 0.
96
Suppose 4*h + 5*r = 38, 99*h - 50 = 94*h - 5*r. Calculate the smallest common multipl