52 = -20*f + 16*f. Let c = f + 23. What is the smallest common multiple of c and 12?
60
Find the common denominator of 67/57 and 76/18 + -4 + (-3164)/144.
228
Let i = -8881 - -18169/2. Let c = i + -659/3. What is the common denominator of 13/(-8) + 1/(-2) and c?
24
Let t(f) = 2*f**2 + 4*f. Let m be t(-5). Suppose -2*a = -2*v + m + 36, 5*v + a - 147 = 0. Find the common denominator of 26/7 and (-663)/52*(-4)/v.
70
Suppose -3*w + 2*h + 2 = 0, 5*w + h + 2*h = -22. Suppose -5*s + 57 = -2*s. Calculate the lowest common multiple of 10 and s + (w - -1)*3.
80
Let j = -167 + 99. Calculate the common denominator of 37/10 and ((-1)/j)/((-4)/56).
170
Let w = -7283 - -58359/8. Let l = 1081 - 7603/7. What is the common denominator of l and w?
56
Let a = -54 - -56. Let f = 6 - 3. What is the lowest common multiple of 60/25 + a/(-5) and f?
6
Let m = -1437509/96 - -14975. Find the common denominator of -3/11 and m.
1056
Let n be (4 + 124/(-30))*(-30)/(-171). Let l = n + -781/17784. Find the common denominator of l and -19/20.
520
Let u = 150 - 146. Calculate the lowest common multiple of u and 24.
24
Let u(d) = 2*d**2 + 4*d. Let f(q) = -q**2 - 25*q - 102. What is the smallest common multiple of u(3) and f(-18)?
120
Let c = 128 + -91. Let a = c - 7. What is the common denominator of 0 + 3 + (-372)/a and 44/5?
5
Let k(q) = 6*q**2 - 85*q - 85. Calculate the least common multiple of k(-1) and 3.
6
Let s(j) = -2*j**3 - 4*j**2 - 2*j. Let q be s(-3). Suppose -g - 246 = 238. Calculate the common denominator of g/q + 2 - 2 and -19/42.
42
Let x = 273 - 261. What is the smallest common multiple of x and 144?
144
Let i(f) = -4*f + 5. Suppose -23*o = -26*o + 63. Calculate the lowest common multiple of i(-4) and o.
21
What is the lowest common multiple of -2 - 5/(-5) - -421 and 40?
840
Suppose 5*j - a = 89, -a + 13 = j - 6. What is the least common multiple of -2 - 1 - -2 - -31 and j?
90
Let t(c) = -c**2 - 2*c - 14. Let b be t(-9). Let z = b + 110. Calculate the lowest common multiple of z and 27.
297
Let d(l) = -l**2 - l + 7. Let b be d(0). Suppose 5*j + 4 = b*j. Suppose 16 = 3*y + 2*q, -j*y + 12 = y + 3*q. Calculate the lowest common multiple of 4 and y.
8
Suppose -79*n + 1062 = -1545. Calculate the lowest common multiple of n and 21.
231
Let a = -4 + 10. Let o = -595 + 597. Calculate the lowest common multiple of o and a.
6
Suppose 0 = 2*f + 19 - 33. Let p = f + 15. What is the smallest common multiple of p and 50?
550
Let m(f) = -f**3 + 20*f**2 - 26*f + 20. Calculate the least common multiple of 220 and m(18).
2200
Let r(c) = c**3 + 5*c**2 - 1. Let k = -9 - -5. Let s be r(k). Suppose -4*t - s = -3*g - t, -1 = -g + 3*t. What is the lowest common multiple of g and 5?
35
Suppose 6 = 2*x, -2*x - x = k + 3. Let y = k + 18. What is the lowest common multiple of y and 2?
6
Calculate the common denominator of 1891/1200 + (1125/50 - 24) and 45/11.
13200
Let i be ((16/(-44))/(-4))/(-13). Let v = i - -307/3003. Let g = v - 43/231. Find the common denominator of g and 41/2.
22
Let z(k) = 10*k - 106. What is the smallest common multiple of 93 and z(23)?
372
Let p(v) = 35453*v - 7. Let t be p(-5). Let l = t - -129940352/733. Let n = 47837/5864 + l. Find the common denominator of n and -99/14.
56
Let f(l) = 816*l**2 + l - 1. Let a be f(1). Let s = a - 5675/7. Calculate the common denominator of -43/5 and s.
35
Suppose 5*v - 1 = -16. What is the common denominator of -49/5 and 61*v/33 + 2?
55
Let s = -5909/153 + 1043/34. What is the common denominator of -71/2 and s?
18
Suppose 2*g - 5 = 1. Let k(t) = 12*t + 2 + g - 4 - 5. What is the least common multiple of 16 and k(2)?
80
Suppose 7*y + 5*n - 19 = 0, y - n = -4 + 5. Let v(b) = -17*b**3 + 2*b**2 + b. What is the smallest common multiple of y and v(-1)?
18
Let w = -2/4599675 - 8239204/2208179776275. Let m = -66249728/83052629 + w. Let a = m + -19969/2076. Calculate the common denominator of 93/10 and a.
60
Let b be (8/6)/(3106626/4932). Let i = b + -7690413507/6830435032. Let j = i + -2/1649. What is the common denominator of j and -67/10?
40
Let i(v) = v**3 + 12*v**2 + 27*v - 28. Let c(j) = 3*j**2 + j - 2. What is the least common multiple of c(-2) and i(-5)?
24
Suppose 10*n - 211 + 661 = 0. Find the common denominator of -26/15 and n/(-50)*(3 + (-159)/18).
60
Let k(c) = -8*c - 42. Let w(q) = -q**2 - 13*q + 24. Let r be w(-15). What is the least common multiple of 18 and k(r)?
18
Let w be 72/(-28)*1719/(-22). Let y = w + -2130/11. Find the common denominator of y and 190/20*(-16)/36.
63
Suppose -a + 4*b + 4 = 2, -2 = -a + 2*b. What is the lowest common multiple of a and -13 + (-18)/(-3) + 10?
6
Let c = -2169663/56 + 38742. What is the common denominator of c and 33/80?
560
Suppose 0 = 12*l - 11*l - 22. Suppose 18 = -l*x + 28*x. Calculate the least common multiple of x and 10.
30
Let j(s) = 6*s - 6. Let v be j(-7). Let l = v + 68. Let z(h) = -h**2 - 7*h - 4. What is the least common multiple of z(-4) and l?
40
Let r = 64 - 21. What is the smallest common multiple of r and 1?
43
Let t = -7287067/105 + 69400. What is the common denominator of t and -47/33?
1155
Let g = 2/363461 + -4035144044/3998071. Let c = g + 1010. Find the common denominator of c and -7/9.
99
Calculate the smallest common multiple of 131/3 - (5 - 16/3) and 16.
176
What is the common denominator of -16/3 and ((1 - 5) + 65)*6/(-18)?
3
Let x be (-2)/(-8) + (-1070)/(-8). Suppose 6*y = -x - 64. What is the smallest common multiple of 1 and 3/2 + y/(-22)?
3
Let q = -10 + 25. Suppose 0 = -6*c + 21 + q. Calculate the lowest common multiple of 16 and c.
48
Let a(v) = 15*v**3 + 3*v**2 - 12*v + 22. What is the smallest common multiple of a(2) and 14?
910
Let d = 4 + -3. Let p = 188 + -179. Find the common denominator of 23/7 and ((-20)/d)/((-9)/p).
7
Let y(u) = -5*u**2 + 48*u + 3. What is the least common multiple of 12 and y(9)?
60
Let v = -462 - -477. Calculate the least common multiple of 33 and v.
165
Let n = 156 - 141. Calculate the least common multiple of n and 129.
645
Let d be (2/44)/((111/18)/(-1)). Let c = d - 49217/4070. Find the common denominator of 33/2 and c.
10
Let b(v) = -12*v - 2. Let w = 4 - 6. What is the least common multiple of b(w) and 4 + 1 + 30 + -15?
220
Let b = 39/256 + 2703/1792. What is the common denominator of b and -93/152?
1064
Suppose -2*w + 10 = -w. What is the smallest common multiple of w and 7?
70
Let k = -2434/3 + 21149/26. Find the common denominator of 87/10 and k.
390
Let i(c) = -256*c**2 + 17*c - 6. Let b be i(-8). Let j = b + 578456/35. Calculate the common denominator of 2/55 and j.
385
What is the lowest common multiple of (-72 + -225)*2/(-6) and 3?
99
Suppose 0 = 31*a + 1870 - 630. What is the common denominator of a and -85/44?
44
Suppose 0 = -f + 101 + 60. Let h = f + -128. What is the least common multiple of h and 6?
66
What is the lowest common multiple of 252 and (-12)/90 - (6944/(-105) + -6)?
504
Let g = -333 - -9323/28. Suppose -3*q - 3*w + 2*w - 26 = 0, -q - 18 = 5*w. What is the common denominator of 2/q + 118/(-56) and g?
28
Let x = -150 + 151. Calculate the least common multiple of x and 8.
8
Find the common denominator of -41/18 and ((-10)/80)/(15/276).
90
What is the lowest common multiple of 51 and (-48)/(-216) + 34/9 - 0?
204
Suppose -3*l + 14 + 1 = 0. Suppose 2*v + 1 = l. What is the lowest common multiple of (v*4)/((-12)/(-30)) and 12?
60
Let l = -81 - -183. What is the lowest common multiple of l and 12?
204
Suppose -2*i - 3*c = -14, -7 - 5 = -i - 4*c. Suppose -2*m = 4*o - 34, 0 = -3*o - 0*o - m + 24. What is the smallest common multiple of o and i?
28
Let x = 895643/496 + 94467/124. Let q = -2565 + x. What is the common denominator of q and 61/10?
80
Let j = -10 - -2. Let k = 17 + j. Suppose -6*a = -4 - 8. What is the smallest common multiple of k and a?
18
Calculate the common denominator of (-12)/30 - 1/(30/(-1467)) and -7/26.
26
Calculate the common denominator of (-1 - 1) + (-38)/4 and (-4)/18 - (0 - (-426)/108).
6
Let r = 42134 + -2696655/64. What is the common denominator of r and -63/64?
64
Let a = -6/7205 - -2963/2882. What is the common denominator of a and -85/66?
330
Let z = -2321567/18766160 - -1/24955. Calculate the common denominator of 51/2 and z.
752
Let m be (-8)/(-1128)*(-114)/4. Let j = 