54*42/64 - 1 and 18/12 - (-33)/(-24).
144
Let a(q) = 2*q**3 + q**2 - 10*q + 2. Let g be a(4). What is the common denominator of -19/12 and 4 - g/40 - 4?
60
Let h be (-2352)/6230 + 2/(-15)*-3. Let c = -4084/445 - h. Calculate the common denominator of c and 36/5.
5
Let b(w) = w**3 + 15*w**2 - 20*w - 8. Let c be b(-15). Find the common denominator of 0/2 - c/(-72) and 1/52.
468
Let d = -4 - 20. Calculate the common denominator of -1*(-3)/(d/13) and ((-5)/((-225)/(-235)))/(-2 - -3).
72
Let r(k) = k**3 + 5*k**2 - 18*k - 6. Let p = 25 - 36. Let y be 8*3/6 + p. Calculate the smallest common multiple of 16 and r(y).
176
What is the common denominator of (1 - 7)/(((-90)/(-10))/54) and -38/81?
81
What is the common denominator of -143/18 and 2/5 - (-4173)/5330?
738
Suppose 4*w = 6*w - 28. Calculate the least common multiple of 2/15*27 - (-10)/25 and w.
28
Suppose -5*v + 15 = 3*r, 7*v = 2*v - r + 15. What is the smallest common multiple of (-3)/(9/(-2))*v and -2*((-10)/2 + -1)?
12
Suppose -2*q = -0 + 12. What is the common denominator of -33/2 and ((-88)/q + -2)/(-6)?
18
Suppose 0 = 36*g - 50 + 14. What is the smallest common multiple of 106 and g?
106
Let k be (8/60)/(4/(-48)). Let a = k - 223/45. Find the common denominator of a and 61/2.
18
Let a = 441825/32 + -13809. Let c = 2/7581 + -12659/90972. Find the common denominator of a and c.
288
Let u = 93571 + -14316418/153. What is the common denominator of 70/9 and u?
153
Suppose 0 = 5*h + 28 - 3, -h = -4*r + 21. Suppose 5*j - 4 = v, r*v - 2*j = 2*j + 16. Calculate the least common multiple of 5 and v.
30
Let l be ((-4483764)/(-88))/9 + -3. Let h = 5662 - l. Find the common denominator of h and ((-2)/(-3))/(4/(-141)).
22
Let r(s) = 2*s + 9. Let a = -6 - -4. Let d be a - 4 - (0 - 2). What is the lowest common multiple of r(d) and 17?
17
Let f = 85707297067842485/30328 + -2826012169676. Let c = -12/3791 - f. Let l = -32845/72 + c. Find the common denominator of l and 25/4.
36
Find the common denominator of ((-18)/(-75))/((-48)/(-1380)) and 55/284.
1420
Calculate the common denominator of -29/15 and (-4456)/2240 - 2/7.
120
Let z(x) = x - 2. Suppose -4*b + 206 = -2*c, 0 = -4*b - 2*c + 86 + 100. Let k = b + -25. What is the least common multiple of z(4) and k?
24
Let l(p) = p**2 - 10*p + 10. Let i be l(9). Let x = 9 - i. What is the least common multiple of 7 and x?
56
Let x be 2/(6/(-9)) + 6 + -2. Calculate the common denominator of (x/21)/(10/390) and -65/3.
21
Let s = -73 + 78. Suppose 10*h - 120 = -s*h. Let z = 40 - 24. What is the least common multiple of z and h?
16
Let m be 56227/8124 - (-12)/(6 + -2). Let a = -3/677 + m. What is the common denominator of 77/12 and a?
12
Let b(u) = u**2 + u - 1. Let z(f) = 6*f**2 + 15*f - 12. Let g(r) = 5*b(r) - z(r). What is the least common multiple of 8 and g(-10)?
56
Find the common denominator of (5/(-10))/(36/(-488)) and -43/27.
27
Suppose -54 = -9*m + 6*m. Let b = -97 - -99. What is the smallest common multiple of b and m?
18
Let s(g) = 11*g + 10*g - 27*g + 23*g**2 + 4*g + 3. Calculate the smallest common multiple of s(1) and 9.
72
Let h = 124153/14 + -8860. Find the common denominator of -38/161 and h.
322
Calculate the common denominator of 143/42 and ((-2)/95*2)/(238/85).
798
Let i be (-142020)/(-35) - ((-5)/(-7) + -1). Let h = i + -85261/21. Calculate the common denominator of 151/24 and h.
168
Suppose -4*c + 56 = 5*i, -3*i = -0*i + 4*c - 32. What is the least common multiple of 12 and i?
12
Suppose 9 = x - 9. What is the least common multiple of x and (10/35)/(3/21)?
18
Let i(d) = d - 6. Suppose 4*r = -0*r + 3*x + 44, r + 5*x + 12 = 0. What is the least common multiple of i(r) and 20?
20
Let k = -2570187/116 - -22157. Find the common denominator of k and 45/4.
116
What is the lowest common multiple of (7 - 17)/(14/(-21)) and 11?
165
Suppose o - 4*o + 114 = 0. Let k = o - 34. What is the lowest common multiple of k and 20?
20
Suppose 40 = 12*m - 7*m. Suppose 16 = 10*r - m*r. What is the smallest common multiple of r and 14?
56
Let i(j) = 3*j + 18. Let q be 871/65 + 4/(-10). Let k be i(q). Let u = -33 + k. Calculate the least common multiple of u and 14.
168
Let d be ((-37)/(-5))/((-13)/(-2)). Let n = d - -7757/780. Calculate the common denominator of 4/(-22) - (-1)/396*-3525 and n.
12
Let u = -113/7 - 19/14. Find the common denominator of u and 15/19.
38
Let b(u) = -3*u**2 - 64*u - 18. What is the smallest common multiple of 29 and b(-17)?
203
Suppose r = m + 9, 0 = -2*r - 3*m - 11 + 4. What is the lowest common multiple of r and 1?
4
Let n(p) = -p**3 + 11*p**2 - 3*p + 1. What is the lowest common multiple of n(9) and 2?
136
Suppose 2*x = 6*x. Let p = 1 + x. Let l(g) = -g**3 - 46*g**2 + 94*g - 88. Calculate the least common multiple of l(-48) and p.
8
Calculate the common denominator of 33/98 and (-408)/(-44)*4/(-16).
1078
Suppose 5*a + 7 = 7*a - l, 5*a - l - 25 = 0. What is the least common multiple of 9 and a?
18
Let r = 10553/8 - 1324. Let b = 667803/605836 + -3/12364. Let w = 1097/294 + b. Find the common denominator of r and w.
24
Let a(l) = 11*l**3 + l. Suppose 3*o + 9 - 2 = 4*n, 4 = n - 3*o. Calculate the smallest common multiple of ((-2)/(-6))/((-2)/(-84)) and a(n).
84
Let w = -50 + 51. What is the smallest common multiple of (9/27)/(w/18) and 8?
24
Let z = 18 - -3. Let a = 67 - z. What is the common denominator of a and 1/7 - (-215)/(-280)?
8
Let p(u) = -u - 3. Let s be p(-7). Suppose 5*x - 1 = -s*n, -7 + 2 = -2*n - x. What is the lowest common multiple of 2 and n?
4
Let k be (-22867)/78 + 0/(-2). Let l = 859/3 + k. What is the common denominator of l and 19/3?
6
Let y = 3 + -12. Let n(b) = -b**2 - 8*b + 19. What is the lowest common multiple of n(y) and 7?
70
Let x(l) = -10*l - 19. Let u be x(-8). Let s = u + -90. Find the common denominator of -5/6 and s/(-10) + (-5)/(-20).
60
Let x(q) = -q**3 + 6*q**2 - 3*q - 6. Calculate the least common multiple of 1/(6*1/12)*2 and x(5).
4
Let f(i) = -12*i**3 - i**2 + 8*i + 10. Let b be f(-10). Let y = b + -970073/82. Find the common denominator of (-162)/32 + 2 + 0 and y.
656
Suppose 0 = -41*q + 35*q. Suppose -25*l + 17*l + 96 = q. Calculate the least common multiple of 28 and l.
84
Suppose -3*v = p - 6*p - 65, -2*p - 80 = -3*v. Calculate the lowest common multiple of 50 and v.
150
Suppose -3*l - 16 - 8 = 0. Let x = 1/392 - 1867/1960. What is the common denominator of (-2)/l + 0 + (-209)/(-20) and x?
20
Suppose -114 = 3*f + 5*t, 3*t + 57 + 18 = -2*f. Suppose u + 2*x - 30 = -x, 0 = -3*u - 3*x + 78. What is the smallest common multiple of 6 and u/(f/(-6) + -4)?
48
Let x(z) = -86*z - 4. Let a be x(-1). Let p = a + -76. Calculate the least common multiple of p and 16.
48
Let d = -261 + 273. Let v be (1*-3)/((-9)/(-6)). Calculate the smallest common multiple of ((-2)/v)/((-1)/(-22)) and d.
132
Suppose -14*i = -5*k - 16*i + 110, 0 = -k - i + 25. Suppose -3*u = -w - 0*u + 5, 3*u = 5*w - 61. What is the smallest common multiple of w and k?
140
Let b = -9 - -17. Suppose 0 - b = 2*q. Let h = q + 15. Calculate the least common multiple of 6 and h.
66
Let y = 105423 + -18976187/180. Calculate the common denominator of 29/140 and y.
1260
Let q be (4003/(-11))/(-1 - -1 - -77). Let h = q - 1/847. Find the common denominator of h and 23/93.
1023
Suppose -33 = -k + 2*c + 2*c, 3*k + 3*c = 114. Let f = k + -17. What is the least common multiple of 16 and f?
80
Let v be -9*((-4)/3)/(-2). What is the common denominator of 5/7 and (-2)/v + (-1441)/(-330)?
70
Calculate the common denominator of (-114)/15*(-390)/(-416) and (2/24)/(2/106).
24
Let v(f) = 2*f**2 + 5*f - 2. Let i be (-35)/15 - 6/9. What is the least common multiple of v(i) and 147?
147
Calculate the least common multiple of 50 and (-39)/(-3) + (-12 - -14) - 5.
50
Find the common denominator of -37/377 and ((-10)/351)/(-3 - 105/(-36)).
3393
Suppose -2*p + 263 = -5*m, -2*m + 5*p - 102 = p. Let a = m - -101. What is the lowest common multiple of 12 and a?
48
Let p = 839 - 703. What is the lowest common multiple of p and 68?
136
What is the common denominator of -149/120 and -33 + 24 + (-389)/(-60)?
120
Let g be -6*(1 - -2)/(-3). Suppose 4*o + 1170 = g*o. Let u = o + -2273/4. What is the common denominator of u and 47/9?
36
Let f(o) = 2*o - 20. Let m be f(15). Suppos