t common multiple of 142 and (196/147)/(4/42).
994
Suppose 67*w - 1119 = 87. What is the smallest common multiple of w and 465?
2790
Let n = 1153/511 - -23/73. Find the common denominator of n and 1/168.
168
Suppose 2*g - 2 = 4. Suppose p - 8 = -0*p + g*w, w + 10 = 4*p. Let x(r) = 3*r + 3. Calculate the least common multiple of 9 and x(p).
9
Let m(g) = -g**3 - 7*g**2 + 17*g - 3. Suppose 61 = -3*x + 4*j + 14, -12 = 3*x + 3*j. What is the smallest common multiple of m(x) and 1?
6
Let r(g) = -g**2 + 19*g - 30. Let t be r(18). Find the common denominator of ((-115)/t)/(-5)*20/8 and 31/9.
72
Let z = 443/34 + -7785/544. Calculate the common denominator of -55/24 and z.
96
Suppose 4*k + 33 = 2*i + k, 5*i + 5*k - 45 = 0. What is the common denominator of 7/10 and 30*(i/16 + 0)?
10
Let c = 12 - 10. Suppose 0 = 4*s + r - 40, -2*s = -3*r - c*r - 20. Calculate the lowest common multiple of 10 and s.
10
Let h = 52524/11 - 4771. Calculate the common denominator of h and -1*(-1 - 70/(-9)).
99
Let t = -51 - -50. Calculate the common denominator of 0/(-3) + (-105)/6 + t and (-22)/1*36/(-16).
2
Let i(l) = -45*l - 11. Let f be i(-7). Let z = f - 7261/24. Let b = -34/797 - 87719/17534. What is the common denominator of b and z?
264
Let l = 16 - 6. Suppose -25*q + l = -24*q. What is the common denominator of 3016/320 + 2/q and -95/2?
8
Let o(l) = 7*l**2 + 8*l - 2*l**3 - 2 + 3*l**3 - 4*l + 0. Suppose -14 = 5*z + 16. Calculate the least common multiple of 4 and o(z).
20
Suppose 4*d - 5*g = 15, 0 = 6*d - d - g - 45. Calculate the least common multiple of 57 and d.
570
Let q = 1/12 + -5/6. Let a(o) = -3*o**2 + 40*o - 17. Let t be a(11). What is the common denominator of (-1)/(-5) - (171/t + -1) and q?
20
Let l = -16 - -91. Let y = -8 + 12. Calculate the smallest common multiple of y and l/12 - (-1)/(-4).
12
Calculate the common denominator of (71/(-3) + 3)*(-12)/48 and 91/12.
12
Let m = -1293 + 1301. What is the least common multiple of 840 and m?
840
Suppose 132 - 672 = -6*o. Calculate the lowest common multiple of 15 and o.
90
What is the common denominator of -38/33 and 71/(-6)*(65/(-55) + 1)?
33
Let q(o) = -o - 9. Let y = -6 - 2. Let v be q(y). What is the least common multiple of 2 and (-3 - -6) + (-3)/v?
6
Let g be 2 - (2 + 3 + -4). Let x be (-2 - g) + 76/2. Suppose 5*k - 275 = -x. Calculate the common denominator of -21/4 and k.
4
Let a = 340 - 229. Find the common denominator of -25/13 and (-1)/(6/a*-1) - 2.
26
Suppose -7 = 3*p + 35. Let j = p + 24. Suppose -h + 2*b = -3*h + j, 1 = h - b. Calculate the least common multiple of h and 7.
21
Let s = -616/2481 - 157923127/19848. Let m = s + 7968. Calculate the common denominator of m and -2*1*10/144.
72
Let z(f) = 2*f**3 - 6*f**2 + 2*f - 2. Let v be z(5). Find the common denominator of (v/(-110))/((-9)/(-45)) and (-46)/5 - (0 - 1).
55
Suppose -11*v = -1562 - 2332. What is the smallest common multiple of 4 and v?
708
Let j = -134309444657715764530/5296759 + 25356910642473. Let k = -129/611 - j. Let r = -459413/190718 - k. What is the common denominator of 11/18 and r?
198
Find the common denominator of -103/40 and 0 + (-6)/(-21) - (-90)/616.
440
What is the common denominator of 71/32 and (-901)/544 + 1/(-2)?
32
Let u = 30987/20 + -1550. Let j = -89/148 + -4333/2516. Calculate the common denominator of u and j.
340
Suppose -3*y - 7 = -c, 5*c = -5*y + 17 - 2. Suppose 3*k - 2*t + 382 = -1012, -c*t = -3*k - 1402. Calculate the lowest common multiple of (1/(-3))/(7/k) and 12.
132
Calculate the common denominator of 212/55 - 2/5 and (-6)/(-9)*6831/(-264).
44
Suppose k - 3*x = 95 + 42, -k = -5*x - 135. Calculate the least common multiple of k and 28.
140
Let s = 1/9243 + 563651/1589796. Find the common denominator of s and -1/3.
516
Suppose -5*z = -a - 1211, -4*z = -9*z + 4*a + 1214. Calculate the least common multiple of z and 22.
242
Let j be ((-3)/2*8)/(6/8). Find the common denominator of (-549)/24*j/24 and 41/32.
32
Let x be (-5)/1*2/(-5). Suppose 3*d - 190 = -5*c - 10, -x*d - 144 = -4*c. Calculate the smallest common multiple of 8 and c.
72
Let i = -5121377/6732 + 3043/4. Let j = -35323/16830 + i. Calculate the common denominator of j and 4/(-5)*91/(-52).
10
Suppose 3 = -b - 2*d + 20, 33 = 5*b - 3*d. Let r be -1 - (2 + 0 + -25). What is the least common multiple of r*(6/4 + -1) and b?
99
Suppose 2*q - 102 = -0*q + 4*d, 3*d = 3*q - 144. Suppose -3*s + q = -2*s. Suppose -3*n + s = 2*n. Calculate the smallest common multiple of 7 and n.
63
Let v(r) = -r**3 - 8*r**2 + 9*r - 6. Let i be v(-10). Suppose -176 = i*y - 108*y. Calculate the least common multiple of y and 2.
44
Let t(o) = -o**2 + 6*o + 4. Let m be t(4). Suppose 0*d = d + m. Calculate the common denominator of 297/60 + (-3)/d and -10/9.
45
Let o(g) = -41*g + 5. Calculate the smallest common multiple of o(-13) and 22.
5918
Find the common denominator of (-959)/(-190) + (-10 - -5) and -61/95.
190
Let o(p) = -p + 7. Let t be o(10). Let w be 6/t + 9 + -3. Suppose -2*b + 3*b - 17 = -3*k, 5*k = -w*b + 47. Calculate the smallest common multiple of b and 10.
40
Let f(a) = 2*a**3 - 23*a**2 + 19*a - 32. Calculate the least common multiple of 136 and f(11).
952
Let a = 59603/17444 + -2/13083. What is the common denominator of a and 173/42?
84
Let r(h) = h**2 - 25*h - 50. Let j(z) = 2*z + 1. What is the smallest common multiple of r(27) and j(3)?
28
What is the common denominator of 1 + -1 + (-46)/(-36) and (-128)/(-256) + (1 - ((-158)/36 - -1))?
18
Let m(c) = c**2 + c + 2. Suppose 3*a = -4*x + 40 + 37, -5*x + 97 = 3*a. What is the smallest common multiple of m(-3) and x?
40
Let n be 12/128*(-208378)/(-3593). Let a be 57482/(-14372) - (6 + -10). Let m = n + a. What is the common denominator of m and -17/4?
16
Suppose 3*y - 5*w + 154 = 6*y, 270 = 5*y + 5*w. Let t = y - 46. Calculate the lowest common multiple of 20 and t.
60
Let i(g) = 2*g**2 - 30*g + 103. What is the least common multiple of i(10) and 19?
57
Let w = 5 + -1. What is the smallest common multiple of (-122)/(-14) - ((-110)/(-77))/(-5) and w?
36
Suppose 0 = -2*m - 10 - 38. What is the least common multiple of 22 and 18/m - (-91)/4?
22
What is the common denominator of (-4)/(-10) - (-738)/280 and (-4)/(-12) + (-381)/(-18)?
28
What is the common denominator of 1/19 - (-180812)/(-23256) and -149/96?
288
Let w(t) = -t + 12. What is the least common multiple of w(8) and 6 - 0 - 78/(-13)?
12
Let a = -143 + 278. What is the least common multiple of a and 65?
1755
Let c be (1 + -8)*(6 - 2). Let k = -8 - c. What is the lowest common multiple of (-28)/((-2)/(-1 + 2)) and k?
140
Let g(w) = -31*w**3 - 2*w**2 + 1. Let q be g(-1). Find the common denominator of -1/18 and (-12)/32*-1*584/q.
90
Suppose 0 = -2*d + 6*d - 176. Suppose -4*s + 42 = -s. Calculate the smallest common multiple of s and d/10 + 10/(-25).
28
Let j be 42933/(-4)*(-2)/18. Let x = 1190 - j. Find the common denominator of -1 - (-25)/(-4) - -1 and x.
12
Suppose -11 = -a - 1. Let p = a - 2. Suppose -3*y = -5*t - 224, 3*t + 4 = 2*t. What is the smallest common multiple of y and p?
136
Let o = 107 - 63. Calculate the lowest common multiple of o and 84.
924
Suppose 19 = 2*d + 7. Let z be (-7 + 4)*(-2)/d. What is the smallest common multiple of 7 and 10/z*(-16)/(-20)?
56
Calculate the common denominator of -52/9 and 2/(-11) - (111800/21021)/25.
441
Suppose -95 = -12*q + 49. Calculate the lowest common multiple of 10 and q.
60
Suppose -9*s = -14 - 31. Suppose -2*k - 38 = -3*d, -2 + 26 = d + s*k. What is the least common multiple of d and 12?
84
Let q(b) = 4*b - 2*b - 12*b - 13 - 11*b. Let m be q(-9). Find the common denominator of -11/3 and (8/m)/((-1)/46).
33
Let v(q) = q**2 - 3*q - 4. Let r be v(4). Let x = 298 - 2648/9. Calculate the common denominator of x and 64/(-9) - (1 - r).
9
Let d(s) = -45*s**3 + 2*s**2 - 1. Let b be (-8)/((-2)/(-1) - 0). Calculate the common denominator of d(-1) and -3 + b + (-309)/(-6).
2
Suppose -4*f + 15*f - 33 = 0. Suppose -2*c - r = -31, 3*r - 6*r = 15. Calculate the smallest common multiple of (-4)/f - (-20)/6 and c.
18
Let i = -4068/7 + 580. Find the common denominator of -6/355 and i.
2485
Let x(k) = -3*k**2 + 364*k - 95. Let r(a) = -2*a - 2. What is the least common multiple of x(121) and r(-3)?
52
Let z be ((-84)/8)/(-1)*