
132
Suppose 0 = -3*g + 2*c + c + 336, 0 = -4*c - 16. What is the least common multiple of 72 and g?
216
Let u be -65*(4 + (-2)/20*46). Suppose u = 2*o - 21. What is the common denominator of -46/7 and o?
7
What is the common denominator of 1683/648 + 4/(-96)*-3 and 13/20?
180
Let s be 1540/21 + (-1)/3. Let u = 1641/22 - s. Let k = -411 - -7543/18. What is the common denominator of u and k?
198
Let y = -12 + 22. Calculate the common denominator of 0 + -117*1/y and (-3144)/54*(3 - 63/24).
30
Let s be (-8)/(-20) + (-9123)/2170. Let a = -284/31 - s. What is the common denominator of a and (-595)/(-12)*84/(-630)?
126
Let l = 2/197 + 9253/591. Find the common denominator of -10/17 and l.
51
Let p = -683/18 - -469/9. Calculate the common denominator of p and 79/6.
6
Let q = 278 - 152. Suppose q = 11*p + 27. What is the lowest common multiple of p and 4?
36
Let j = 69/40 + 601/440. Let q = -199152 - -1989693/10. Let c = 182 + q. Calculate the common denominator of c and j.
110
Suppose -5*t + 2*l + 19455 = -3*l, 3900 = t - 4*l. Let a = 23197/6 - t. What is the common denominator of a and 113/6?
6
Suppose 50*m - 36 = 52*m. Calculate the common denominator of (-76)/6 - (-2 - -1) and -1 + m/(-12) - 230/36.
9
Let m(j) = -j**3 - 17*j**2 - 33*j - 43. Let z(d) = -2*d + 1. What is the smallest common multiple of m(-15) and z(-5)?
22
Calculate the common denominator of 127/220 and (-3)/(-6)*639/(-450).
1100
Let m = -36 + 52. What is the common denominator of -8/9 and (-123)/24*m/(-8)?
36
Let x(q) = 2*q**2 - q + 1. Let i = 33 + -30. Suppose 5*l + d - 81 = 0, -3*l + 7*d = i*d - 44. Calculate the lowest common multiple of x(1) and l.
16
Suppose -2*r = 26 + 26. Let l = 42 + r. Calculate the lowest common multiple of -1 + (-1 - -10*1) and l.
16
Let v(u) = -2*u**2 + 6*u - 5. Let s(k) = 3*k**2 - 12*k + 9. Let q(a) = -3*s(a) - 5*v(a). Let j be q(-6). Find the common denominator of -69/20 and j - 1/(4/23).
20
Suppose 3*d + d - 21 = -5*x, -20 = -4*x - 4*d. Let s(r) = 59*r**2 - 2*r + 1. What is the lowest common multiple of s(x) and 10?
290
Suppose -5*o + 4 = -5*i - 1, 2*i = -2*o + 6. Suppose 2*c - 25 = -3*c, 2*c - o = 4*u. What is the lowest common multiple of 22 and u - 3 - (-16 - 1)?
176
Let u = -3/461 + 25397/6454. Suppose -17 + 4 = -b. Find the common denominator of u and b/(-7) + 11/(-22).
14
Let a = 450517/24 + -18776. Find the common denominator of -109/56 and a.
168
Suppose -2*j = 4*n + 23620 + 1612, -2*n + 63020 = -5*j. Let z = j - -353083/28. Calculate the common denominator of z and 45/11.
308
Suppose 18*q + 375 = 1635. Calculate the lowest common multiple of q and 14.
70
Let c = 4086521/60 - 68106. What is the common denominator of (-235)/(-60) + (-2)/(-1) and c?
60
Let y = -1229/12 + 433/4. Find the common denominator of (324/(-50))/(11 + -3) and y.
300
Let f = -125950/43 + 2930. Find the common denominator of f and 25/8.
344
Let c = 7828/8127 - 2/8127. Find the common denominator of c and (14/(-240))/((-2)/(-5)).
432
Let k = 13 + -13. Suppose -4*w + 3*l + 208 = k, -4*w + 301 = 2*l + 93. What is the smallest common multiple of 1/2 + w/8 and 4?
28
Suppose 2*n - 6 = 4*w - 0*w, -5*n + 15 = 0. Suppose w*q = -6*q + 144. Calculate the least common multiple of q and 12.
24
Suppose -3*a + 8*a = 20. Suppose -3*w = -m + 31, -a*m + 55 = 4*w - 149. Calculate the least common multiple of 8 and m.
184
Let a(i) = i**2 - 21*i + 162. What is the lowest common multiple of 24 and a(15)?
72
Suppose 3 = 3*b - 2*b. Let l(g) = -g + 3. Let a(x) = 2*x - 4. Let y(z) = 4*a(z) + 5*l(z). Calculate the lowest common multiple of 10 and y(b).
40
Let q(w) = w**3 - 10*w**2 + 8*w + 66. What is the lowest common multiple of 4 and q(8)?
4
Find the common denominator of -25/28 and (-813)/840 - 2/(-14).
280
Let v = -1316 - -1591. Calculate the smallest common multiple of v and 250.
2750
Calculate the common denominator of -16*17/(-680) - (-1026)/(-640) and -39/7.
448
Let l = -24/3863 - -27732669/30904. Let g = -903 + l. Find the common denominator of 97/48 and g.
48
Let y = -46 + 28. Let b be (-24)/y - 12/9. Suppose 3*t - 2 - 4 = b. Calculate the lowest common multiple of t and 20.
20
Let x(t) = t**3 - 5*t**2 - 3*t - 12. Let c be x(6). Let s(u) = u**2 - 7*u + 11. Calculate the smallest common multiple of s(c) and 1.
5
Suppose k + 4*k - 5 = 0. Let q = 14 - 10. Suppose 4*x - 2*x + 15 = a, -q*x - 51 = -5*a. What is the least common multiple of k and a?
7
Let p(m) = -2*m - 6*m + m**2 - 5*m + 7*m - 13. Let l be p(8). What is the common denominator of 120/(-4) + l - -1 and 54/5?
5
Let y(g) = -11*g**3 - 6*g**2 + 2*g + 7. Let f be y(6). Let q = 20661/8 + f. Let b = -801 + 8805/11. Calculate the common denominator of q and b.
88
Let j = 1935 - 1855. Calculate the smallest common multiple of j and 32.
160
Let k be ((-6)/12)/((-2)/32). Find the common denominator of 26/3 and (-88)/(-242)*10/k.
33
Find the common denominator of -47/20 and (-2894)/4180 - 10/(-55).
380
Let y be 3/6*(2 + 2). Suppose r = -r + y. Let o = -5 - -12. What is the smallest common multiple of r and o?
7
Suppose -2*b + 6 = 4, -223 = -5*j - 3*b. What is the least common multiple of j and 8?
88
Let y = 708 + -704. Let w = 19 - 9. Calculate the lowest common multiple of y and w.
20
Let v(o) = o**2 - 6*o + 5. Let z = 25 - 13. Suppose -5*u = -2*j - 28, 4*j + z = u - 8. What is the smallest common multiple of v(6) and u?
20
Suppose 43*u + 27*u = 560. What is the smallest common multiple of u and 4?
8
Let x = -24 - -23. Let t be x + 3 + 1 + -1. Suppose -4*k - t*a + 82 = 0, 10 - 49 = -2*k + a. What is the lowest common multiple of 12 and k?
60
Let j = 7621/438 + -90/73. Calculate the common denominator of -29/33 and j.
66
Let o = 98 + -75. What is the common denominator of 37/16 and ((o/(-6))/(-1))/(-3) + 3?
144
Suppose 4*l + 4*o - 400 = 0, o - 308 = -3*l - 0*o. What is the least common multiple of 39 and l?
312
Let m = 157 - 88. Let g = -67 + m. What is the least common multiple of 24 and g?
24
Suppose -6*k - 15*k = -9471. What is the lowest common multiple of 410 and k?
4510
Suppose k - 5 = 2*r, -6 = 2*k - r - 19. Suppose c + 3*q - k*q = -35, 0 = -4*c - 3*q - 45. Let d = 22 + c. What is the smallest common multiple of 5 and d?
35
Let k = -2/2363 + -224473/14178. Calculate the common denominator of -77/690 and k.
690
Suppose -2*d + 5*d = 24. Calculate the common denominator of -40/87 and (d/54*2)/(2/(-12)).
261
Suppose v = 3*v. Suppose 5*d - 2*h + 1 = -h, v = -2*d - h + 1. Suppose d = -2*u - u + 18. Calculate the lowest common multiple of 10 and u.
30
Let u = -115773/7077635 + 61269273627/10078552240. Let z = -103080 + 651362522/6319. Let i = u - z. What is the common denominator of i and 45/8?
16
Let c be 83/18*(4 + -1). Let m = c - 115/3. Calculate the common denominator of m and 67/4.
4
Let s = -307/147 + -72001/882. Suppose -w - 4*r = 76, -w - 2*r - 52 = 28. Let p = w - s. Find the common denominator of p and -59/8.
72
Suppose 0 = 4*n + 16, -8*r = -6*r - 2*n - 20. Calculate the least common multiple of 30 and r.
30
Let j be (-449*4/16)/1. Let w = 787/4 + j. Let t = w + -83. What is the common denominator of t and -13/4?
4
Suppose 968 = 5*b - 432. Calculate the least common multiple of 160 and b.
1120
Suppose 0 = -n + 10*n - 198. Calculate the lowest common multiple of 164 and n.
1804
What is the common denominator of -68/27 and (-1*(-3)/891)/((-3)/(-549))?
297
Let t = 6763/114 - 744/19. What is the common denominator of t and 97/48?
48
Suppose 4*n - 6*n + 30 = 4*w, -4*n - 20 = 0. Suppose 2*r + 2270 = 7*r. Calculate the common denominator of r/70 + w/(-50) and 38/9.
63
Let a(y) = y**3 + 13*y**2 + 16*y + 7. Let q be a(-13). Calculate the common denominator of 10/(8/17*2) and 2 + (4 - q/(-9)).
24
Suppose -2*c = -3*c - 20. What is the common denominator of (-2)/(c/19) - -2 and 36?
10
Let i(g) = -21*g - 369. Calculate the least common multiple of 24 and i(-29).
240
Suppose 19 = 4*z - 17. Suppose -2*g + z = -3. Let s = -775 + 795. What is the least common multiple of g and s?
60
Let z(t) = 4*t**3 + 3*t - 7. Let f be z(5). Find the common denominator of (-16)/12*(-171)/120 and (-4 + f/24)*1.
30
Calculate the common denominator of 38/151 and ((12/(-14))/(-6))/((-40)/28).
1510
Let z be (-4)/10 + 36/15. What is the common denominator of (-2)/(