90
Suppose -2*r = -3*d + 5, -3*d - r - 2 = 4*r. What is the lowest common multiple of 2 and 13 - ((-2)/d - -6)?
18
Let r(x) = 18*x - 119. What is the smallest common multiple of r(8) and 4?
100
Calculate the common denominator of (2 - 0) + (-5855)/2750 and -35/6.
1650
Suppose -z = 0, 2*q - 14*z + 9*z = 16. What is the least common multiple of q and 14?
56
Suppose 0 = -5*i - 21 + 41. Suppose 2*f - 140 = -3*f + 4*y, i*y = 4*f - 116. Calculate the lowest common multiple of 21 and f.
168
Calculate the smallest common multiple of ((-1)/(-2))/(7 + (-727)/104) and 6.
156
Suppose -6*a + 7*a = 5, 16 = 2*x + 4*a. What is the common denominator of -87/32 and x + 5*(-1)/24?
96
Let d be 4 - (-4 - (-4 + 3 - -85)). Suppose 2*a = 2*q - d, 5*a - a - 124 = -3*q. Calculate the common denominator of q and -103/22.
22
Let y be ((-7)/(105/(-20)))/((-1)/(-3)). Suppose -13 = -4*d + 5*n, y*n + 2 + 2 = 0. What is the smallest common multiple of 6*(-1)/(-6)*2 and d?
2
Suppose 29*g - 69*g = -8960. What is the least common multiple of g and 32?
224
Let r be 4*(-3)/(-6) + 13. Let d be (-3)/6 - r/(-2). Let b = 15 - d. What is the lowest common multiple of 4 and b?
8
Let x = -93 - -57. Calculate the common denominator of (-3)/27*3 + (-161)/(-24) and (0 - 1)/(x/64).
72
Find the common denominator of -28/39 and 6 + (-316)/(-120) + -3.
390
Find the common denominator of 12/(-16)*-1*484/18 and -97/90.
90
Suppose -4*m + 2*v + 26 = 0, -2*v + 3*v + 25 = 5*m. Suppose -2*r - t + 3 = 0, -2*r - 3*t = -r - m. Calculate the smallest common multiple of 11 and r.
11
Let q = 1/1828604 - -37856902883/4571510. Suppose -7*m - 23711 = 34270. Let r = m + q. Find the common denominator of r and 145/6.
60
Find the common denominator of (-8525)/(-3500) - 2/7 and -107/20.
20
Let q = -11657/1897 - -4/1897. Find the common denominator of -53/3 and q.
21
Suppose g + 3*f = -g + 59, -3*g + 82 = -2*f. Find the common denominator of 4/10 - (g/(-12) - 2) and -83/12.
60
Let n = 1159 - 3499/3. Let x = 335 - 3173. Let z = x - -16945/6. What is the common denominator of n and z?
6
Suppose 5*l - 3*c = 1, -l + 5*c = 3*l + 7. Find the common denominator of 15/27*52/(-5) - l and -47/21.
63
Let z = -3/1237 + 119995/2474. Suppose 2*b - 3*l + 51 = -2*b, -3*b - 33 = -4*l. What is the common denominator of z and b/8 - (9 - 12)?
8
Let r = -20/123 + -13339/3444. Find the common denominator of 34/21 and r.
84
Let f = 167 + -91. Find the common denominator of (-6 - -3) + f/8 and -83/40.
40
Suppose -x + 85 = 5*y - 6*x, -3*y - 3*x + 39 = 0. Let h = 9 - 13. Calculate the least common multiple of (-122)/(-14) + h/(-14) and y.
45
Let k be (-4)/2 + 15104/20. Let d = 765 - k. What is the common denominator of d and -12/31?
155
Let a be 8 + 0/(-5) - 3. Suppose -a = -5*f, 5*q - f = 4*f + 25. Suppose 4*m + 9 = 21. Calculate the lowest common multiple of q and m.
6
Calculate the lowest common multiple of 70 and 57 + -2 + (17 - 9).
630
Suppose -14*t = -9*t - 20. Let s = 13 + -8. Suppose 0 = -t*a + 3*l + s, -5*a - l + 9 = -a. Calculate the smallest common multiple of 6 and a.
6
What is the smallest common multiple of (-5)/(-20)*(6 + 12)*10 and 27?
135
Suppose 0 = 2*q + 22 - 30. Let x = 6 + q. What is the smallest common multiple of 34 and x?
170
Let l be 3/12 + 21/12 - 0. Suppose -l*p = -2*u + 16, u = 4*u + p - 28. Suppose o - 25 = -4*o. Calculate the smallest common multiple of o and u.
45
Let g be (2/31)/(1302/105). Let m be (98933/(-9610) - 1) + 2. Let w = g - m. What is the common denominator of w and 45/16?
80
Let s = 124/55 - 7003/3960. Find the common denominator of s and -49/9.
72
Let h be ((-24)/(-15))/((-4)/10). Let o be (-7)/28 - 209/h. Suppose -4*l - 2*w = -0*w - o, -4*l = w - 50. What is the smallest common multiple of l and 2?
12
What is the lowest common multiple of 20 and -2*8/((-176)/55)?
20
What is the common denominator of 59/63 and (10/84)/((150/(-552))/(-5))?
63
Suppose 15 = g - 3. What is the smallest common multiple of g and 94?
846
Suppose 3*n - y = 3692, -2*y = n - 2*n + 1224. Calculate the least common multiple of 4 and n.
1232
Let y be (10/27)/((-14)/(-21)). Let z = y + 707/72. Calculate the common denominator of z and 113/14.
56
Let z = -11 + 15. Let r be (-97)/z - (-14)/56. Calculate the lowest common multiple of 4 and (r/28)/((-4)/14).
12
Suppose 22 = 3*o - 2. What is the smallest common multiple of 87/24 + 4 - (-3)/o and 16?
16
Let b = 209 - 194. Suppose o - b = -6. What is the lowest common multiple of o and ((-8)/2)/(2/(-5))?
90
Suppose 3*p - 5*t = 15, -3*p - 14*t = -12*t - 36. What is the lowest common multiple of 6 and p?
30
Let m be ((-1)/(-908))/((-3)/(-8)). Let x be 2/(-4767)*13676/8. Let o = m + x. Calculate the common denominator of -71/4 and o.
28
Let i be 1 - (-3 - 0/2). Suppose 4*c + n - 32 = -5, -10 = -2*c - i*n. Find the common denominator of 49/10 and 4 + ((-322)/(-8))/c.
20
Let f be 564/16 + 4 - (-2)/(-6). Let l = f + -299/8. Calculate the common denominator of -43/52 and l.
312
Calculate the common denominator of ((-3)/(-16))/(7585/950 + -8) and 71/746.
2984
Suppose 2*y = 1103 + 281. Let c = y + -2785/4. What is the common denominator of c and 4/(-30)*309/(-4)?
20
Find the common denominator of 35/72 and 63/(-32) + 0*(-12)/(-48).
288
Suppose -r + 84 = 5*v, -5*v = -9*v + 2*r + 70. Calculate the lowest common multiple of v and 19.
323
Let s = 2544 + 1040. Let z = s - 64463/18. Find the common denominator of z and (-195)/416*(2*-1 - 0).
144
Suppose 2*q = -2*h + 2, -3*q + h = -29 + 10. Suppose p - u - 11 = 0, q*u - 10 = 3*u. Let d(m) = 2*m + 22. What is the least common multiple of d(-7) and p?
16
Let g(p) = p**2 + 3*p - 2. Let k be g(-4). Suppose 4*y + k = -3*m + 4*m, 21 = 4*m - 3*y. Calculate the lowest common multiple of m and 212/12 + 4/12.
18
Let q = -22 + 25. Calculate the smallest common multiple of -48*q*2/(-12) and 20.
120
Let x = 5758199 + -69136423/12. Let w = 3158 + x. Find the common denominator of -29/6 and w.
12
Suppose 7336 = 2*s + 2222. Let h = s - 53611/21. Find the common denominator of h and -23/11.
231
Let g = 45925 - 4345. Let x = -286532/7 + g. Let u = x - 648. Calculate the common denominator of u and -18/7.
7
What is the smallest common multiple of (6 + -3 - 5) + 3 and 2/4*(4 + 34)?
19
Let y be 3*(12 - ((-1 - -2) + -1)). Calculate the smallest common multiple of 21 and ((-16)/(-6))/(8/y).
84
Suppose 5*m - 12*m = -3*m. Suppose 3*j - 40 = -4*t + 7*j, 3*t - 5*j - 30 = m. Calculate the lowest common multiple of t and 8.
40
Suppose -6 = -2*z, -2*u = -4*u - 4*z + 16. Let v(s) = 2*s + 0 - 1 + 0*s**2 + 2*s**3 - 3*s**u. What is the smallest common multiple of 2 and v(2)?
14
Suppose -193 + 1033 = 15*f. What is the least common multiple of f and 224?
224
Let q be ((-9)/(-6))/(2/4). What is the smallest common multiple of 3 and 7/(35/60) - q?
9
Find the common denominator of 71/198 and -26 + 35 + 118/(-28).
1386
Calculate the least common multiple of 64 and 4/(0 - 40/(-10)).
64
Let d = 96020 - 1246810/13. Let c = d + -47681/429. What is the common denominator of c and -40/9?
99
Calculate the least common multiple of -2 + (-7)/7*-6 and 252.
252
Let r be (19051/19048 + -1)*-134934. Let w be ((240/59525)/6)/(2/(-5)). Let o = r - w. Find the common denominator of 73/10 and o.
20
Let w(o) = 7*o - 1. Let d(y) = -y + 1. Let s(q) = 6*d(q) + w(q). Let v be s(0). Find the common denominator of 15/7 and ((-3)/15)/(4/v).
28
Suppose 30 = 5*q - 4*s, 2*q + 0*s - 2*s = 14. Suppose 3*u - q = 7. Suppose 0 = 2*f - u*f + 8. What is the smallest common multiple of 14 and f?
56
Let v be (-1)/2 - (-630)/(-36). Find the common denominator of -103/22 and 38/(-72) + (-3)/v.
396
Let p = 75781/476 + -2752/17. Find the common denominator of p and -7 + -1 + 6 - 6/(-24).
28
Suppose -433 - 596 = -49*x. Calculate the least common multiple of x and 161.
483
Let a be (2/(-1))/(3/6). What is the common denominator of (a/(-6))/(12/(-86)) and (3/54)/(2/80)?
9
Let t be (0 + 16)/(4 + -2). Suppose -6*b + t = -4*b. Find the common denominator of 3 - ((-93)/24 + b) and 21/11.
88
Let f(n) = -n**2 - 4*n + 3. Calculate the least common multiple of 66 and f(-3).
66
Suppose 3*o - 2933 = 679. Let y be (45/20)/((45/(-7730))/3). Let r = o + y. Find the common denominator of -31/8 and r.
8
What is the common denominator of 4 -