4*y + 5*f = -7, 5*y - 5*f + c = 3*y. Calculate the smallest common multiple of 16 and y/(-6) + 12/18.
16
Let j = -181/6 - -529/18. Find the common denominator of 59/21 and j.
63
Suppose 0 = -7*q + 2*q, 4*p - 3*q = 500. Suppose 129*d = p*d + 16. Calculate the lowest common multiple of d and 242.
484
What is the smallest common multiple of 196/10*(7 - -2)/((-180)/(-300)) and 140?
2940
Suppose 39 = -229*z + 232*z. Let y(p) = p**2 - 10*p - 6. What is the least common multiple of 22 and y(z)?
66
Suppose 10 = 5*c, -7*g + 6*g - c = 52. Find the common denominator of -137/12 and 2 - (6/18 + g/(-4)).
12
Let y = 15 - 10. Suppose y*h - 15 + 133 = 2*b, 4*h + 100 = 3*b. What is the common denominator of 113/h + (-12)/(-24) and 26/11?
11
Calculate the common denominator of (-2)/(-39)*10302/11110 and 79/45.
6435
Let b = 5/104 - 2563/312. Let t = -1/209774323 - -4303520240029/772808605932. Let m = 9/614 + t. Find the common denominator of b and m.
12
What is the lowest common multiple of 15 and (415368/(-15))/(-6) + 18/10 + -2?
13845
Let r = -247130/29 + 3898709/290. Let q = r + -4912. Calculate the common denominator of q and 30/29.
290
Let v = 1555/91 - 2651/156. Find the common denominator of v and 23/50.
27300
Calculate the least common multiple of 153/(-34)*((-1088)/3 - -4) and 5918.
17754
Let o = 1247/231 - 51/11. Let k be (-75)/70 - 20/(-8). Let f = k - o. Calculate the common denominator of -5/16 and f.
48
Let r(y) = -2*y**3 - 12*y**2 - 8*y + 11. Let z(v) = -v**3 - 6*v**2 - 4*v + 5. Let k(w) = 4*r(w) - 9*z(w). What is the smallest common multiple of 78 and k(-3)?
546
Let x(b) = 70*b - 295. Let t be x(5). Suppose -3*n + y + 60 + 64 = 0, 4*n + y = 177. Let j = t - n. What is the lowest common multiple of j and 6?
12
Suppose 2*u - 2*m - 510 = 0, 921 + 375 = 5*u + 2*m. What is the lowest common multiple of 1677 and u?
3354
Let v = -4669/3 - -1532. Calculate the common denominator of -89/422 and v.
1266
Let s = -64 + 228. Let j = -154 + s. Calculate the smallest common multiple of j and 65.
130
Let p(s) = -s**3 + 15*s**2 + 17*s - 6. Let k(l) = l**2 - 7*l + 26. Let h be k(5). What is the smallest common multiple of 20 and p(h)?
20
Suppose 541 = 5*y + w - 537, 1090 = 5*y - 5*w. Let b(j) = j**3 + 12*j**2 - 158*j - 1816. Calculate the least common multiple of b(-14) and y.
216
Let l be ((-3)/(-12))/((-390)/(-2353)). Let v = -3/10 + l. What is the common denominator of 46/3 and v?
24
Calculate the common denominator of -97/10 and -1 - ((-17914)/4461 - (-201)/67).
44610
Let a = 9748 - 9562. Calculate the smallest common multiple of 9 and a.
558
Suppose -63*s + 61*s = -342. What is the common denominator of (-58)/5*95/s and 11/14?
126
Let w = 378379/189 + -2002. What is the common denominator of w and 55/54?
378
Let j = -32914213/274 - -120125. Calculate the common denominator of j and -47/168.
23016
Let c(m) = 2*m**2 + 13 - 17 + 24 + 3*m. Let n be c(-4). Calculate the common denominator of ((-170)/n)/(1/5) and 1/30.
60
Let o = -164 - -171. Suppose 0 = 3*g + o*g - 60. Suppose k - 10 = 1. What is the smallest common multiple of g and k?
66
Let o(q) = -161*q - 532. Calculate the lowest common multiple of o(-4) and 112.
112
Let y(p) = p**3 - 3*p**2 - 2*p + 2. Let q be y(6). Let a = q - 92. Find the common denominator of -77/118 and (-58)/9 - (a/(-4) - -1).
1062
Suppose -25*i + 915751 = -372549. Calculate the smallest common multiple of i and 8.
103064
Suppose 0 = 2*h - 8, -44 + 126 = 3*n + h. What is the lowest common multiple of 70 and n?
910
Let s = -101080057/3486 + 28996. Find the common denominator of s and -73/2490.
17430
Let q be 22 - (1 - 10/(-5)). Suppose 23*p = q*p + 224. Let a = -29 + p. What is the least common multiple of a and 3?
27
Let j = 37 - 25. Suppose -5*d = -25*d - 800. What is the common denominator of -47/7 and (d/j + 4)*-1?
21
Suppose 0 = -2*h - 2, 4*o = -3*h + h - 4906. Let i = o - -2523/2. Calculate the common denominator of i and 58/405.
810
Suppose -3 = 2*l + 5*o, -50 = -2*l + 3*o + 3. What is the least common multiple of l and 48?
48
Suppose a - 6 = -o, -79*a + 80*a - o = 2. Calculate the lowest common multiple of 52*((-11)/(-4) + -2) and a.
156
Calculate the common denominator of -39/5 and 2/5 + (-5 - (-11442)/2460).
410
Let p be 12/(-48)*-66*(-20)/(-6). Suppose -4*d + 33 = -p. Calculate the smallest common multiple of d and 204.
2244
Let v = -2213 + 2133. Suppose 7025 = 4*o + o. What is the common denominator of 4/(-10)*(o/v - -1) and 83/10?
40
Let i = 3264077075/1548 + -2108577. Find the common denominator of -81/1720 and i.
15480
Let c = -328673413/504 - -652130. Calculate the common denominator of 127/70 and c.
2520
Let d(w) = -w**3 + 12*w**2 - 7*w + 92. Calculate the smallest common multiple of d(9) and 476.
1904
Let f = -61 - -68. Suppose 5*w - 66 = -w. What is the lowest common multiple of w and 33/77 - (-67)/f?
110
Suppose -3*k - l - 557 = -2*l, -5*l + 945 = -5*k. Let u be -4 - k/10*(-35)/(-7). Let x = 94 - u. What is the least common multiple of x and 15?
30
Let y be (4746/9 - -1)/(-3). Let p = 13283/72 + y. Let b = 24121/22 + -1096. What is the common denominator of b and p?
88
Suppose -16 = -4*z + 2*z. Suppose 0 = 25*n - 32*n + 84. What is the lowest common multiple of n and z?
24
Let g(v) = -v**2 - 8*v + 65. Let a be g(-13). Suppose -4*o = -2*z - a*o + 208, 4*z - 3*o - 396 = 0. Calculate the smallest common multiple of 20 and z.
480
Suppose -f - 3*i + 6 = -3, -2*i = 4*f - 46. Let l(u) = -3*u**2 + 147*u - 1390. What is the lowest common multiple of l(13) and f?
84
Let g = 138 - 136. What is the common denominator of ((-3724)/(-245))/((-4)/g) and 173/30?
30
Suppose -d = 5*p - 25, 3 + 12 = -3*d. Let g be (-1)/p - 799/(-15). Let j = -219/5 + g. Find the common denominator of -38 and j.
10
Let f(d) = 501*d + 1. Let a be 6/(-4)*10/15. Let u be f(a). What is the common denominator of 169/30 and 5/10 - u/264?
330
Let c(h) = h**2 - h + 5. Let m be c(0). Suppose 0 = 4*n + 4*l - 696, -m*n + 4*l - 5*l = -866. Calculate the common denominator of 4/11 and n/20 + 2*(-2)/(-16).
110
Let u(n) = -n**3 - 28*n**2 + 28*n + 51. Let c be u(-29). Suppose -7*s = -12*s - 3*q + 72, 5*s + 5*q - c = 0. What is the smallest common multiple of 21 and s?
84
Let j = 798820171/1128 - 708174. What is the common denominator of 91/96 and j?
4512
Calculate the common denominator of 87/256 and ((0 - 2)/(4/(-95)))/(816 - 560).
512
Find the common denominator of 2386/4920 - (-44)/(-275)*5 and -5/36.
1476
Calculate the least common multiple of (1/2)/(-6 + (-3865)/(-644)) and 147.
6762
Let c = -105 - -125. Let q = c + -19. What is the common denominator of ((-51)/24)/(q/4*-37) and -31/10?
370
Let f(a) = -2*a - 9. Let o be f(-6). Calculate the smallest common multiple of 33 and 9/((-54)/8) - (-94)/o.
330
Suppose 80 = 5*d - 21*h + 17*h, -2*d + h = -35. What is the least common multiple of d and -2 + -2 - (-3 - (0 + 5))?
20
Calculate the common denominator of 36/11 and 4 - (4 + -7) - -214*175/(-5480).
6028
Let w(z) = -z**3 + 12*z**2 + 25*z + 36. Let a be w(14). Calculate the smallest common multiple of 33 and 10/(3/9 - 2/a).
165
Let k be (2 + (-72)/16)*2. Calculate the least common multiple of 2 and (2/(-6))/(((-25)/(-10320))/k).
688
Let c = 4653/7 + -83341/126. Calculate the common denominator of -37/54 and c.
54
Calculate the common denominator of -24*(2260/(-210) - -11) and 113/72.
504
Suppose 5*s = n - 40 - 0, 0 = -3*n - 3*s + 48. Suppose -21*c + 6 = -n*c. Calculate the smallest common multiple of c and 48.
48
Let y be (-9)/21 + (-412)/(-14). Let o = y - -20. Let d = o - 29. What is the least common multiple of 2 and d?
20
Let t = -250133/405660 - 2/33805. Calculate the common denominator of (1 - 0)/(((-33)/(-63))/(-1)) and t.
660
Let v = -17982109/96090228 + -7/116051. Find the common denominator of v and -121/108.
2484
Let i(w) = w**3 + 6*w**2 + 5*w + 6. Let j = -62583 + 62651. What is the smallest common multiple of i(-4) and j?
612
Let z = -1865715 - -5703490816/3057. Calculate the common denominator of 53/2 and z.
6114
Let c(h) = -236*h - 50. Let j be c(-1). Suppose 3*u = 22*q - 20*q - 357, -q + 4*u + j = 0. What is the lowest common multiple of q and 3?
174
Let v = -1795 - -80809/45. Find the common denominator of v and -13 + (-1126)/84*371/(-318).
180
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