/24)/((-6)/244) and (4/(32/(-546)))/6.
72
Suppose 0*p - 248 = -4*p. Suppose 5*c - 14 = -2*h, 60*c - 55*c = h + 8. What is the smallest common multiple of p and c?
62
Let q = -20658 - -145706/7. Let p = q - 4953/28. What is the common denominator of 17/324 and p?
324
Let g = -11 - -13. Let m(p) = 9*p - 68. Let u be m(12). Suppose b + u = 5*b. What is the least common multiple of g and b?
10
What is the common denominator of -75/272 and ((-3)/6)/((-155)/(-1643))?
1360
Let j = 35 + -33. Calculate the common denominator of (((-8)/84)/j)/((-36)/182) and -37/12.
108
Let h = -4635 - -6413. What is the least common multiple of 889 and h?
1778
Suppose 0 = -2*c + 3*c - 1, 0 = d + 3*c - 12. Calculate the lowest common multiple of d and 301.
2709
Suppose w = 4*o - o - 9, 5*o - 15 = -5*w. Suppose o*q - 6 = 0, -4 = 2*b + 3*q + 18. Calculate the common denominator of 29/27 and 2/(-18)*(-1491)/b.
54
Let i(j) = j - 10. Let r be i(22). Let x(c) = -c**2 + 14*c - 9. Let m be x(r). Suppose -8*z = -m - 25. Calculate the lowest common multiple of z and 11.
55
Suppose 13*y - 6103 + 2125 = 0. Calculate the smallest common multiple of 20 and y.
3060
Let i be (-4)/3*18/(-4). Suppose 4*u + 342 = i*u. Suppose -u = -6*f - 39. Calculate the least common multiple of 10 and f.
110
Let o = -7009/15 + 467. Find the common denominator of -11/750 and o.
750
Suppose -3966*s - 21700 = -4028*s. What is the least common multiple of 50 and s?
350
Let v(c) = -c**3 - 6*c**2 - 9*c + 2. Let j be v(-4). Let x = -4 + j. Calculate the least common multiple of x and 33.
66
Let v = 1328/225 - 1/450. Calculate the common denominator of v and -113/748.
3740
Calculate the common denominator of -111/650 and 1182/308 - (-5604)/5137.
4550
Suppose -5*w - 2*t = -210, 2*t = w + 6*t - 60. Let c = -43 + w. What is the common denominator of (0 - (c - -1)) + (-2703)/371 and 8/17?
119
Let n(b) = 26*b + 24*b**2 - 4 - 20*b - 26*b**2 - 12*b - 100*b**3. What is the lowest common multiple of 10 and n(-1)?
100
Let d be (895 - (-6 + 9)*-1) + 6. What is the common denominator of -99/40 and ((-6)/(-320))/(30/d)?
200
Calculate the common denominator of 109/108 and (21 - 37 - -8) + 37783/3444 + -3.
30996
Let g(h) = 10*h**3 + 2*h**2 + 49*h - 117. What is the lowest common multiple of g(11) and 3?
13974
Suppose 5*m = 3*s - 81, -m - 27 = 52*s - 53*s. Calculate the least common multiple of s and 825.
7425
Let h(u) = 3*u**2 - 3*u + 2. Let k be h(1). Suppose 0*q = -5*q + k*c + 254, 4*c - 192 = -4*q. What is the smallest common multiple of 1/(-1) + (q - 31) and 5?
90
Let r = -5683/574 + 191/82. Calculate the common denominator of r and 19/16969.
118783
What is the common denominator of (-32)/14 - (41 + -80 - -35) and 79/56022?
392154
What is the common denominator of 37124/(-9384) - (-11 - -13)*-2 and -85/138?
2346
Suppose -22*q - 156 + 46 = 0. Let u(p) = p**3 + 6*p**2 - 6*p - 6. Calculate the lowest common multiple of u(q) and 28.
196
Let v(c) = -10*c + 40. Suppose 242 = -3*u - 8*u. Let o be v(u). Suppose 13*h = o - 52. What is the least common multiple of 12 and h?
48
Let k be (-14 - -6)*6/8. Find the common denominator of 7/((140 + k)*-1) and -65/4.
268
Let b be 3*-3*(-12)/9. Let s = 48 - b. Let x = -202627 + 202642. Calculate the lowest common multiple of x and s.
180
Let p be 7/7*(1 + 18). Suppose 21*z - 530 = p*z. Suppose z = 5*q + 5*o, 3*q - 6*o = -2*o + 145. What is the lowest common multiple of q and 10?
510
Find the common denominator of -36/49 and (0/2 + 6/(-20))/(40176/43896).
8820
Let z(y) be the second derivative of 0 - 1/3*y**3 + 4*y**2 - 34*y. Calculate the smallest common multiple of z(-14) and 16.
144
Let f = 40 + -28. Suppose -k + 9*k = -56. Calculate the least common multiple of 12*((-2)/k)/(24/112) and f.
48
Let o = -125 - -121. What is the lowest common multiple of (-4 - -2)*(-8)/(o + 5) and (-9)/(5/((-120)/9))?
48
Suppose h = 8 + 7. Let a(x) = -2337 + 19*x - 4*x + 2073. What is the least common multiple of h and a(18)?
30
Let i(t) = -3*t + 9. Calculate the least common multiple of 55/165 - 11/(-3) and i(1).
12
Let n be 4/16 + 1830545/116. Let h = -15779 + n. Calculate the common denominator of h and 145/6.
174
Suppose -4*z + 133195 = -2*r - 3*z, 0 = -3*r + 5*z - 199803. Let g = -5594129/84 - r. What is the common denominator of -43/6 and g?
84
Let a(y) = 359*y + 1807. Suppose 2*u = 3*t - 296, -4*u = t - 0*u - 80. Calculate the lowest common multiple of t and a(-5).
96
Let s(g) = -14*g + 3. Let b be s(-2). Let z = b - 22. What is the smallest common multiple of (-2 - (-10 + 3) - -6) + -5 and z?
18
Suppose 151 + 127 = 4*j - a, 4*j - 4*a = 284. What is the common denominator of 97/84 and (j + -64)*3/((-1155)/(-58))?
924
Let l = -2450 + 2456. What is the least common multiple of l and 536 + 4/(-8)*0?
1608
Let g = -693 - -2889. What is the lowest common multiple of g and 1647?
6588
Let s(y) = -y**2 + 15*y + 20. Let p be (-38)/95 - 22/10*-2. Suppose -p*w = 2*x - 30, 2*x + 65 = 7*x + 5*w. Calculate the least common multiple of x and s(16).
44
Let w be 72/8 - 5 - 4. Suppose -28 = -4*d + s, -5*s - 14 - 6 = w. Calculate the smallest common multiple of 9 and d.
18
Let n(x) = 2*x**2 + 32*x - 6. Let i(s) = -4*s**2 - 63*s + 12. Let v(l) = 3*i(l) + 5*n(l). What is the lowest common multiple of v(-14) and 4?
20
Let q = 4/12897 - 7931671/51588. Let m = -5411/36 - q. Find the common denominator of m and (-4)/30*(-11 - -1).
9
What is the common denominator of ((-471)/156 + 5)*-3*(-5)/(-15) and (-103)/24*(3 + -2)?
312
Let u(s) = s**2 + 2. Let g = 145 + -141. Suppose -4*a = 0, 5*q - g*q + a = 8. Calculate the smallest common multiple of q and u(3).
88
Suppose 0 = 7*f + 171 - 451. Let s = -295 - -345. What is the smallest common multiple of s and f?
200
Let d = -21/13 - -479/208. Suppose -3*m + 15 = 0, j - 11 = -3*m - 4. What is the common denominator of d and 2/j - 342/(-40)?
80
Suppose -11*w + 74 = -3. What is the lowest common multiple of 1 + (11 - (-2 + 4) - 3) and w?
7
Find the common denominator of 65/72 and 2/(-6)*2416/512.
288
Let m(i) = -13*i**3 - 6*i**2 - 38*i - 37. What is the smallest common multiple of 6534 and m(-1)?
26136
Calculate the common denominator of (6195/58)/(-35) - (-3 + 0) and -33/551.
1102
Suppose -5*n + 9 = g, -2*n - 3*g + 2 = 1. Find the common denominator of (-6)/10*(-3 + (-9)/n) and -85/4.
4
Suppose 5*l = 3*x + 7203, 0 = -2*l - 4*x - 501 + 3377. What is the common denominator of 49/2 and (-8)/20 + -2*(-363)/l?
48
Suppose -78 = -5*h + 42. Suppose -134*t + 58 = -131*t + 4*d, -5*t = -3*d - 87. Calculate the smallest common multiple of h and t.
72
Let r = -70 - -43. Let c = -28 - r. Find the common denominator of (-39*c/3)/(-2) and -39/11.
22
Find the common denominator of 1479/(-1419) + 11 + -10 and -28/473.
473
Suppose -3*p - 600 = 2*d, 0 = -5*d + 5*p - 2*p - 1542. Calculate the common denominator of -9 + (-3252)/d + (-2)/6 and -3 - -3 - 1/8.
136
Suppose 25*d + 359 = 26*d. Suppose -5*a + d = -2*a - s, 5*s - 466 = -4*a. Let m = a - 895/8. Find the common denominator of -47/20 and m.
40
What is the common denominator of (2/((-306)/67))/((-136)/(-12) - 9) and -89/714?
714
Let a(o) = 2*o**2 + 4*o + 10*o + 11 + 4*o - o. Calculate the lowest common multiple of 7 and a(-8).
21
Let r(a) be the third derivative of -a**5/60 + 7*a**4/8 + 15*a**3/2 - 4*a**2. What is the least common multiple of r(21) and 40?
360
Let d = 136 - 131. Suppose -c + 5*o + 11 = -11, -d*o + 50 = 5*c. Calculate the smallest common multiple of c and 9.
36
Suppose 0 = -5*o + 20, -2*f + 4*o = 36 - 34. Let n be 10/(-6)*(-56)/(-30). Let i = f + n. What is the common denominator of i and -49/3?
9
Suppose -301*b + 36140 = -41*b. What is the smallest common multiple of b and 37?
5143
Suppose 2*n - n + 3*x = -6, 2*x + 6 = 0. Calculate the smallest common multiple of -2 - (24/(-1) - -2) and n.
60
Suppose -k + 80 = 5*m + 295, k = -4*m - 173. Calculate the common denominator of (-3 + 14)*(-7)/m and 103/78.
78
Let u(l) = -90*l**3 + 13*l**2 + 76*l + 66. Calculate the least common multiple of u(-4) and 5157.
51570
Let k = 284 + -285. Let o(c) = 119*c**2 - 2*c - 5. What is the smallest common multiple of 26 and o(k)?
1508
Let i be 102281892/42*(-154)/(-14943576). Let a = i - 5/32771. Let q = -81/19 + a. What is the common denominator of 11/42 