4
Suppose -7 = 3*a - 4*l, 3*a = 6*a - l + 13. Calculate the common denominator of ((-172)/8)/(a/(-2)) and 10/99.
495
Suppose -4*f + 3*j + 2680 = 0, -7*f = -3*f + 2*j - 2700. What is the least common multiple of 7 and f?
4711
Let m(s) = -s**3 - 15*s**2 - 19*s - 26. Let k be m(-15). Suppose -k - 473 = -2*q. Calculate the least common multiple of q and 4.
732
Let k = -464/3 + 14965/96. Suppose -3*g + 4*f - 17 = 0, -f - 2*f = -3*g - 12. What is the common denominator of (-242)/12 - 0/2*g and k?
96
Let s be (1/(-2))/(1/2). Find the common denominator of -103*2/44*s and 8 - 1923/(-630) - ((-128)/(-168))/(-16).
110
Let h be -1 + -1 - (-108612)/76. Let f = h - 1429. Let t = 15246 - 167733/11. What is the common denominator of t and f?
209
Let x be (-116)/12*(3 + -6). What is the lowest common multiple of (-1 - (-3)/2)*812/x and 63?
126
Suppose 2*j = -10*j - 14*j + 42588. Calculate the least common multiple of j and 1092.
3276
Let p(t) = 3*t + 38. Let g be p(-12). What is the lowest common multiple of 46*(-1)/(g/(-3)) and 15?
345
Let y be (-6)/(-1) - (34 - 0). Calculate the common denominator of -1 + 17/(-28) + 1 and (-754)/280 + (-4)/y.
140
Suppose -27*t + t = -325*t + 91494. Calculate the lowest common multiple of 3 and t.
306
Let h(l) = l**3 - 13*l**2 + l - 3. Let n be 26/(-5)*((-27)/6 + 2). What is the smallest common multiple of ((-6)/8)/((-1)/16) and h(n)?
60
Let u be ((-6)/2930)/((10 + -5)/(-225)). Let q = -10312/18459 - u. Find the common denominator of q and 44/49.
441
Let w(l) be the second derivative of l**4/12 + 3*l**3 - 7*l**2/2 - 16*l. Let j be w(-11). What is the smallest common multiple of 12 and (-48)/j + 122/7?
36
Let f be (-2)/3 + (-429404)/48. Let t be (2*4467/(-9))/((-4)/(-36)). Let z = f - t. What is the common denominator of 71/10 and z?
60
Let p = 14675 - 14588. Let q = 22 + -8. What is the least common multiple of p and q?
1218
Let q(b) = 2*b**3 + 2*b + 155. Let y be q(0). Suppose -y - 131 = -13*l. Calculate the smallest common multiple of l and 294.
3234
What is the common denominator of 31/252 and ((-83)/(-18))/(19 + (-960)/45)?
252
Let d be (-136)/102*9/(-4). Suppose 2*m = -3*m - d*b + 408, b = 1. Calculate the common denominator of (-1)/20*1*m and -101/20.
20
Suppose -m + 20 = 3*m, 3*m = -4*l - 7077. Let d = -2517 - -12529/5. Find the common denominator of l/168 + (-28)/49 and d.
40
What is the lowest common multiple of (-2)/(-16) - (-6930)/880 and 44?
88
Let s be 6/1 + 594/9. What is the common denominator of 56/5 and (-3)/20*(-4020)/s?
40
Let a = -181085459/67186 - -18867/7. Let y = a - -278297/431910. What is the common denominator of y and 41/15?
45
Let l(k) = 4*k - 26. Suppose 0 = -2*j + 3*y + y + 136, -y = -5*j + 295. Calculate the smallest common multiple of j and l(8).
174
Let j(b) = 6*b - 34. Let y be (4 + -13)*(-3)/((-9)/(-2)). Suppose z - 17 = -1. What is the lowest common multiple of z and j(y)?
16
Suppose 2 = -6*y + 122. Suppose -y + 5 = -3*z. Let a = 1 + z. What is the smallest common multiple of 17 and a?
102
Let m = -7/10 - 166/45. Find the common denominator of m and (-1)/15*545/(-2).
18
Let i = -8395777/2466 + 14842/137. Let v = 3295 + i. Calculate the common denominator of v and (-9)/(-3) - 5 - (-12 - 3736/(-320)).
360
Let k be 2/19 - 1950/(-18639)*-1. Let m = -83525/8284 - k. Find the common denominator of m and 127/6.
12
Let k = -1815 + 38144/21. Calculate the common denominator of -77/1647 and k.
11529
Let u be ((-39)/(-2))/((-1)/8). Suppose -4*p - 2*r + 0*r = 878, -4*p + 5*r = 899. Calculate the common denominator of -59/33 and 2/(-4) - p/u.
132
Suppose b - 945 = -4*b. Suppose -2*q = -11*q - b. Let l = q + 27. Calculate the lowest common multiple of 19 and l.
114
Let j(g) = 25*g - 190. Let d be j(28). What is the least common multiple of 66 and ((32/10)/2)/(68/d)?
132
What is the smallest common multiple of (2/(-3))/((-3)/(-18))*(-10)/2 and 71934?
719340
Let i = 221 - 235. Find the common denominator of -33/7 and (-1)/(-5)*((-432)/i)/(-3).
35
Let k be (-25322)/(-13) - (636/(-78) - -8). Suppose 42*t + 562 = k. Let n = 10 - 5. Calculate the lowest common multiple of n and t.
165
Let i(w) = w**2 - 45*w + 214. What is the smallest common multiple of 22 and i(60)?
12254
Let m(b) = -2 + 8*b**2 + 4*b**3 - b - b + 0*b - 3*b**3. Calculate the lowest common multiple of 52*5/50*10 and m(-8).
364
Suppose 2*y + 78*y = 20142 + 3058. What is the smallest common multiple of y and 40?
1160
What is the common denominator of (77/35)/((-357)/(-35) - 7) and -23/12?
48
Calculate the least common multiple of 625 and (-18)/((4 - 16 - -8)/(1 - -1)).
5625
Let z = 2 + -9. Let x be (-2 - (-4 + 2)) + (-14)/z. Find the common denominator of x*-1*(17/20 + 2) and -49/36.
180
Let v(p) = 29*p**2 - 50*p**2 - 3*p**3 + 37*p**2 + p**3 + 10. Let q(i) = -i - 3. Calculate the smallest common multiple of v(8) and q(-5).
10
Let x = -1053/4 + 9317/36. Let r = 8925 - 27625/3. Let y = r - -1549/6. Calculate the common denominator of y and x.
18
Suppose 0 = -11*j - 621 + 5197. What is the least common multiple of (740/70 - 10) + 10/7 and j?
416
Let j = 1181 + -734. Suppose -448*u + j*u = -21. What is the least common multiple of u and 6?
42
Suppose 198 = -16*o + 726. What is the smallest common multiple of 21 and o?
231
Suppose 32*k - 30*k = 18. Suppose -k*p = -7*p + 10, -p = 3*d - 85. Calculate the lowest common multiple of (6/(-5))/(6/(-165)) and d.
330
Suppose 17*u - 21297 + 20685 = 0. What is the lowest common multiple of u and 360?
360
Let p = -9 - -10. Let g be -4 + p + (-7)/(-4). Let t = g + -39/20. What is the common denominator of -149/6 and t?
30
Let l(c) = -919*c**2 + c + 10. Let u be l(5). Find the common denominator of 24641/u - -2*(-2)/(-14) and 1/60.
240
Suppose -3*b = 3*y - 2*b - 5, 0 = 4*y - 4*b - 28. Suppose -2*l + 16*g + 75 = 11*g, -5*l + y*g + 140 = 0. Calculate the lowest common multiple of l and 55.
275
Let x(c) = -c**3 - c**2 + 12*c - 6. Let h be x(-5). Suppose 4*i + h + 22 = 0. Calculate the common denominator of 10/2 - i/(-6) and -68/15.
15
Calculate the common denominator of 9/153 - (-3785)/32470 and 25/8.
1528
Let d = -5549 + 5551. Suppose 2*j + 4*g - 12 = -3*j, -2*j + 4*g = 12. Suppose j = -d*i - 17 + 29. Calculate the smallest common multiple of 15 and i.
30
Let c = 1008731/892180 - 1374/1439. Let r = -10895/7 - -1559. Calculate the common denominator of r and c.
4340
Let p = -162 + 180. Let q(x) = x**2 - 14*x - 52. Calculate the lowest common multiple of 36 and q(p).
180
Let k be 1/(-7 + 227800/32544). Let h be (374328/(-460))/(1/5). Let u = k - h. Calculate the common denominator of u and -9/5.
115
Let c = 82323/844 + 323011189/17724. Let g = 18326 - c. What is the common denominator of -43/12 and g?
84
Let r = -139/100 - -6579/1100. Find the common denominator of -33/2 and r.
22
Calculate the common denominator of 28/(-6)*4 + -1 + 0 and (-3 - 5) + 4 + 243/(-30).
30
Let y(c) = c**3 - 49*c**2 + 97*c - 147. Let d be y(47). Find the common denominator of d/(-132)*-5*(-78)/(-9) and 67/21.
231
Let m be ((-1)/(-18))/(2/(-152)). Let a = m + -46/9. Let q = 11498733/140 - 82133. Find the common denominator of q and a.
420
Let l = -56165 + 2696059/48. Let u = -1/189284 - -1183041/3028544. Find the common denominator of l and u.
192
Let n be (-7 - (-4 + -1))*(-18505)/(-2). Let u = -2479681/134 - n. Calculate the common denominator of 61/10 and u.
670
Let y = 3 + 0. Let b be 33673/755 - (-2)/5. Find the common denominator of 48/11 and 80/b - (-3)/y.
99
Suppose -3*p = -5*p + 3*r + 39, -2*p - 2*r = -34. Calculate the least common multiple of 1974 and p.
5922
Calculate the smallest common multiple of (6/4 + (-79)/(-158))/((-2)/(-130)) and 234.
1170
What is the common denominator of (-4)/30 + 3/216*39 and -131/440?
1320
Let b(n) = n**2 + 13*n - 30. Let t be b(2). Suppose t = -20*k + 22*k - 88. What is the lowest common multiple of k and 36?
396
What is the common denominator of ((-1)/(-189))/(338/(-1131)) and 155/78?
1638
What is the common denominator of -17/7 and ((-88)/(-32))/(716/16)*(-7)/98?
2506
Suppose -345*g = -347*g + 220. What is the common denominator of g/(-56)*34/(-510) and -15/154?
924
Let p(x) = -754*x**2 - 3*x - 4. Let n be p(-1). What is the common denominator of (n/(-4))/(-5)*32/48 and -10/23?
138
Let a = -116