m + 0*m - x = -4*g. Calculate the lowest common multiple of 2 and g.
16
Suppose -f = 2*f - 6. Suppose -f = -d - 0*d. What is the lowest common multiple of d/((-4)/(-6)*1) and 7?
21
Let k = 2187 - 1827. Calculate the smallest common multiple of k and 40.
360
Suppose -17 = -v - 4*i, 2*v + 2 - 24 = -5*i. Let d = -897 + 2665/3. Calculate the common denominator of (-72)/30 - (v + 0) and d.
15
Let v = 311129997383/42933630 - -46/1431121. Let r = v - 7249. Calculate the common denominator of -1/30 and r.
30
What is the common denominator of -59/336 and (-9796)/(-248)*(-2)/(-140)?
1680
Let g(i) = 37*i**3 + 2*i**2 - 2*i + 1. Let b be g(1). Find the common denominator of b/4*50/80 and 65/4.
16
Let n = -9 - -4. Let y be 17*(-5 - -3 - -3). Let u = y - n. Calculate the smallest common multiple of u and 18.
198
Suppose 0 = 5*a + 5*r - 125, -18 - 3 = -a - 3*r. Let f(j) = 29*j - 1432. What is the least common multiple of f(50) and a?
54
Suppose 5*n = 15 + 15. What is the common denominator of -93/10 and 3/3 + (2 - 128/n)?
30
Find the common denominator of 103/66 and (-3)/(-1)*276/660.
330
Let g(b) = 83*b. Let z be g(-1). Calculate the common denominator of z/6 + -1 + 1 and 9 + (3186/12)/9.
6
Let q be (896/20 + -2)*3/12. Let k(g) = 2*g**3 + 4*g**2 - 2*g - 4. Let h be k(-3). Let m = q + h. Calculate the common denominator of -47/10 and m.
10
Suppose -f + 295 - 2708 = 0. Let p = -4921/2 - f. Calculate the common denominator of p and -125/24.
24
Suppose 4*h - 16 - 8 = 0. Let f = -8255 + 8261. What is the lowest common multiple of f and h?
6
Suppose 3 = -3*f + 423. Let h be (-9)/(-12) + f/48. Let k = h - -8/3. Find the common denominator of k and 43/11.
33
Let s = -74/101 + -86611/202. Let d = 468 + s. Find the common denominator of d and -14/9.
18
Let x = -276 + 285. Calculate the smallest common multiple of x and 42.
126
Let u(t) = -2*t + 54. Let l be u(11). Let v = -22 - -38. What is the lowest common multiple of v and 10/15*(l - 5)?
144
Suppose 0 = 2*j + 2*f - 78, -6*j + 2*j - f + 171 = 0. Calculate the least common multiple of j and 99.
396
Suppose 4*n + 106 = 3*a, 2*a + 3*n = 7*n + 76. Calculate the common denominator of (-8)/18*a/4 and -91/10.
30
Let o = -2766 - -24823/9. What is the common denominator of 37/128 and o?
1152
Let u(x) = -x - 5. Let l be -9 - (-2)/(-8)*4. Let k be u(l). Suppose 0 = 3*m + f - 5, -k*m + 0*f = -f - 11. Calculate the smallest common multiple of 4 and m.
4
Let o be -2 + 2 - (-22588426)/700. Let x = 32271 - o. Find the common denominator of 81/50 and x.
50
What is the smallest common multiple of 222/5 + (-4)/10 and 108?
1188
Let f(d) = -5*d + 13. What is the least common multiple of 36 and f(-1)?
36
Let m = 2589 + -15491/6. Calculate the common denominator of m and 4/(-10) - (-585)/400.
48
Let y(g) = 3*g**2 - 30*g - 62. What is the least common multiple of 14 and y(14)?
742
Let p = -1331 - -1353. What is the least common multiple of 192 and p?
2112
Let c = -12669/8 + 1591. What is the common denominator of c and 22/(-110) + (-122)/65?
104
Let b = -719273/50 + 14385. Calculate the common denominator of 49/60 and b.
300
Let f(z) = -z**3 - 6*z**2 - 3*z. Let s = 41 - 2. Let i = 53 - s. What is the smallest common multiple of i and f(-6)?
126
Let q(w) = 9*w + 13. Let x be q(-8). Let r = x + 66. Calculate the least common multiple of 1 and r.
7
Suppose -3*f = -0 + 3. What is the common denominator of 1/(-1) + (-43)/(-11) and 905/(-100)*f - 3?
220
Suppose -2 = -5*w - 5*n + 23, 4*w = -2*n + 24. Let s = -240 - -249. Calculate the smallest common multiple of s and w.
63
Let s = -16 - -25. Calculate the smallest common multiple of -4 - (-3)/(15/155) and s.
27
Suppose -15 = -w - 3*p, 53 + 31 = 3*w - 4*p. Calculate the least common multiple of 4 and 6/4*w/9.
4
Suppose 3154 = 55*v - 9276. What is the least common multiple of 8 and v?
904
Let d be 969/(-68)*(-1 - 3). Suppose -d = 5*o - 17. Calculate the common denominator of 1/5 and o.
5
Let v = -2/5335 + -11733/10670. Let o = -1/2 - 63/10. Find the common denominator of o and v.
10
Let k(a) = 13*a**2 + 241*a + 25. What is the lowest common multiple of 9 and k(-19)?
1251
Suppose 0 = t - 86 + 20. What is the least common multiple of t and 99?
198
Suppose -j = j - 12. Let h be ((-254)/j)/(1/3). Let m = -501/4 - h. Calculate the common denominator of 87/20 and m.
20
Let b be 550/(-6)*159/(-30)*-4. Let k = b - -1924. What is the common denominator of 2/(4/(-87)) + -1 and k?
6
Suppose -34 = -r - 4*o, 0 = 5*r + 4*o - 54 - 68. Suppose -n - 2*p - 4 = n, 3*n + 2 = -2*p. Calculate the lowest common multiple of n and r.
22
Let a = 293466 - 64562637/220. Calculate the common denominator of 57/10 and a.
220
Let s = 1021 + -989. Calculate the lowest common multiple of s and 20.
160
Suppose -93*a = -84*a - 27. Suppose 4*v + c - 12 = 0, 4*v + 5*c - 5 = 7. Suppose -a*d - v + 57 = 0. What is the smallest common multiple of d and 22?
198
Let d = 92 + -86. What is the smallest common multiple of 22 + 0*6/18 and d?
66
Let f(p) = -p**3 - p**2 + 2*p - 2. Let h be f(3). Let q(s) = -s + 4. Let g be q(1). Find the common denominator of g - -1*452/h and -69/16.
16
Let p be 54/9*2/(-4). Let z be 58905/(-30) - (-1)/p. Let f = z + 1972. Calculate the common denominator of 25/8 and f.
24
Let g = -29234 + 701725/24. Calculate the common denominator of 17/21 and g.
168
Suppose -2*h - 762 - 196 = 0. Find the common denominator of 20/50 - h/40 and 17/12.
24
Let c(w) = w**2 - 14*w + 4. Let b be c(14). Calculate the least common multiple of 5/(-2)*(b - 12) and 14.
140
Let m = 490/19 - 8961/304. Let c = 2695 + -32201/12. Find the common denominator of c and m.
48
Suppose -2*v - 5*x + 106 = 0, 4*x - 213 - 18 = -5*v. What is the least common multiple of 258 and v?
258
Suppose 0 = -6*m + 3*m - 843. Let i = m + 3089/11. What is the common denominator of i and (-1)/5 + ((-7722)/60)/(-13)?
110
Suppose -w = w - 28. Let a = 1399 + -1387. What is the lowest common multiple of a and w?
84
Suppose -49 = 3*a - z - 15, z + 38 = -3*a. Calculate the common denominator of -8/31 and a.
31
Let b = 23 - 43. Suppose 0 = 3*v + v - 8, v = 5*s - 108. Let w = s + b. Calculate the lowest common multiple of w and 6.
6
Find the common denominator of (1158/(-330) + 4)*-5 and -25/247.
2717
Suppose -16 = -3*c - 1. Suppose p + 15 = -11. Let y = p + 27. What is the least common multiple of y and c?
5
What is the common denominator of (-205)/82*3/1092*-2 and 39/16?
1456
Suppose -4*j - 11 = -3*b, 6 = -5*j - b - 3. Find the common denominator of 2 + ((-306)/40 - j) and 31/32.
160
Let f(d) = -41*d**3 - d**2 - d + 1. Calculate the least common multiple of 24/9*(-27)/(-6) and f(-1).
84
Suppose 3*k - 48 = -2*t, 0*k - t + 80 = 5*k. Let j be (1921/(-1))/(17 - k). Let f = -21096/11 - j. Find the common denominator of f and 15/8.
88
Find the common denominator of 1/4 and ((-65)/(-40))/((-10)/(-36)).
20
Suppose -20 + 0 = 5*l. Calculate the least common multiple of 6 and 0/(6 + l) + 1.
6
Suppose 2*b + 3*f - 417 = -163, 3*b = f + 370. What is the lowest common multiple of 217 and b?
868
Let u = 587 - 1730/3. What is the common denominator of -95/18 and u?
18
Let l be (-9)/15 - (-1145848)/70080. Let k = l - 1/1752. Find the common denominator of -101/2 and k.
4
Let g(p) = -p + 6. Let a be g(8). Find the common denominator of (-122)/12 - (-5 - a) and 41/2.
6
Let d(p) = 2*p - 34. Let l be d(14). What is the common denominator of -37/30 and (-768)/648 + (-4)/l?
270
Calculate the least common multiple of (-14424)/(-180) + (6/(-45))/1 and 64.
320
Let t(u) = 3*u - 1. Let x be t(1). Suppose 8 = 13*n - 15*n. Calculate the least common multiple of ((n - -1) + x)*-2 and 18.
18
Suppose 2*k = -3*m + 30, m + 72 = 5*k - 20. Calculate the least common multiple of 126 and k.
126
Let n = -47261761/168 + 281319. Let p = -18059/6 - -3002. Calculate the common denominator of p and n.
168
Suppose 4*z + 32 = 2*r, -3*r - 5 = z + 3. Find the common denominator of z/220*(-1725)/(-20) and 119/18.
198
Find the common denominator of -69/2 and 206/(-80) + 4/(-32)*2.
40
Let h(l) = -l**2 + 14*l - 37. Let u be h(10). Suppose 3*g + u*t = 354, 3*g - 382 = -0*g + 4*t. Calculate the lowest common multiple of g and 20.
1220
Suppose w - 2*o + 0*o = 7, -o = 2. Let g(j) = j**3 - 3*j**2 + 4*j - 4. Let n be g(3). Wha