on multiple of y and 44.
3564
Let q(v) = 80*v - 42. Calculate the lowest common multiple of 8 and q(2).
472
Let x = 85689/10 - 8562. Let s = 2/319 + -2875/638. Calculate the common denominator of x and s.
10
Suppose 3*f = -f - 4. Let g(d) = d + 1. Let y be g(f). What is the smallest common multiple of 10 and (y - -1)/(2/16)?
40
Let o = -938 - -1153. Calculate the least common multiple of o and 45.
1935
Suppose 2*z - 272 = 5*f - 55, -2*z + 174 = -4*f. Let t = 49 + f. What is the lowest common multiple of t and 20?
60
Let a(x) = 2*x**3 + 50*x**2 + 36. What is the least common multiple of a(-25) and 30?
180
Let n = 3184 - 3181. Suppose 4*w = m + 1, -5*m + 3*m = 5*w - 37. Calculate the lowest common multiple of n and m.
33
Calculate the common denominator of 10/30 - 10591/36750 and 37/6.
5250
Let o = 18 - 15. Let h be 1 + o/3 + -3. What is the lowest common multiple of 9 and -10*((-8)/(-10))/h?
72
Let k = 389/168 + 13/42. Let m be (-1 - 53062/(-7524)) + -2. Let x = m - -2/627. What is the common denominator of k and x?
72
Let a(w) = 752*w**2 + 8*w + 4. Suppose -2*z = 2*z + 20. Let q be a(z). Let y = q - 337627/18. What is the common denominator of y and 49/8?
72
What is the smallest common multiple of 1 and 1/2 - 4*210/(-48)?
18
Let i = 137573/12 - 11474. Let q(z) = z**3 - 13*z**2 - 17*z - 31. Let x be q(13). Calculate the common denominator of i and 6/2 + (x/8 - 3).
12
Let l = -121 - -161. Suppose 4*a - l = 2*a. What is the smallest common multiple of 22 and a?
220
Suppose -5*j + 29 = -3*g + 2, -3*g + 36 = 2*j. Let i = 32 - 17. Calculate the smallest common multiple of i and j.
45
Let u = -1543 - -52467/34. Calculate the common denominator of (-1 - 714/(-72)) + -2 and u.
204
Let v = 29742228 - 91189659739/3066. Let a = 10/219 - v. Calculate the common denominator of -59/4 and a.
28
Let m be ((-4)/382)/(2/29). Let q = m - -26341/1146. What is the common denominator of -39/22 and q?
66
Let f be 25178/(-180) - (-7 - -3). Let i = 1204/9 + f. Calculate the common denominator of 63/8 and i.
40
Let t(q) = 3*q**3 + q**2 - 3*q. Let i(f) = -f**2 - 3*f + 12. Let w be i(-5). Calculate the least common multiple of 8 and t(w).
88
Suppose 0 = -4*r + 54*r - 800. Calculate the lowest common multiple of r and 36.
144
What is the least common multiple of (-4)/(-11 - -3)*108 and 144?
432
Suppose -24 = -20*d + 336. What is the common denominator of 4 + 147/d - 2 - 3 and 70/51?
102
Suppose -156 = -8*g + 164. Suppose 3*k + 2*k = g. Calculate the least common multiple of k and 8.
8
Find the common denominator of 44/171 and (-10)/20 + 25/42.
1197
Let p(l) = -12 + 8*l + 2*l + 7*l + l**3 - 13*l - 4*l**2. Calculate the smallest common multiple of p(4) and 10.
20
Suppose -5*x + 3*y - 442 - 60 = 0, 0 = -2*x + 5*y - 216. Let q = 100 + x. Calculate the least common multiple of 37 and q.
74
Suppose 3*a + 0*n - 14 = 5*n, 2*a + 16 = -3*n. Find the common denominator of 19/24 and (a/96)/((-2)/268).
24
Suppose 3*h + 3*h = 24. Suppose 0 = 7*v - 2*v. Let f = v + 9. Calculate the smallest common multiple of h and f.
36
Suppose -4*m - 4 = 0, -77*m = 2*n - 81*m - 32. Calculate the smallest common multiple of (3/(-2))/((-1)/2) and n.
42
Let q be 4*(-1)/(0 - 2). Suppose -v - 4*d - 14 = -0*v, 3*v + d = 2. Suppose 2*w + u - v = 0, q*w + 2 = 5*u + 4. Calculate the lowest common multiple of 8 and w.
8
Let m = -10137 - -91264/9. Suppose -2*x + 10 = -16. What is the common denominator of x and m?
9
Find the common denominator of 91/716 and 531/126 + -7 + 12/14.
5012
Let u = 64 - 41. Suppose 0 = 4*r - u + 11. Calculate the smallest common multiple of r and 6.
6
Suppose -v + 4*v - 375 = 0. Let f = v - 87. What is the least common multiple of 20 and f?
380
Let m(v) = 51*v**2 + 2*v + 1. Let r be m(-1). Let s be (-1 + 0)/((-10)/r). Find the common denominator of (-380)/32*(-3)/s and -35.
8
Let d be (-3587)/901 + (-4)/(-1). Let l = d + 2855/371. Calculate the common denominator of -26/5 and l.
35
Let c(f) = -4*f**3 + 17*f**2 + 39*f + 1. Calculate the smallest common multiple of c(-2) and 230.
230
Let z = -9 - -25. Suppose -3*i = -3*l, 3*i = 2*l - 7*l + z. What is the lowest common multiple of 8 and i?
8
Let h(i) = -i**3 + 10*i**2 - 9*i - 3. Let l be -2*((-52)/8 - -2). Let m be h(l). What is the smallest common multiple of (-1)/(4/(-12)) - m and 14?
42
Let p(s) = s + 10. Let g be p(-14). What is the least common multiple of 14 and 84 - (0 + g)/(-1)?
560
Suppose -2*u + 5*q = 22, 2*u + 74 = -3*u + 3*q. Calculate the lowest common multiple of 28 and u/(7 + -6 + -1*3).
56
Let w = 19260 + -866657/45. What is the common denominator of w and 37/300?
900
Let z = -3177 + 57041/18. Suppose -5*c + 2*o - 5*o - 20 = 0, -c - 6 = o. Find the common denominator of c/(-4) - 4029/476 and z.
126
Let z = -41 + 104. Let d = 105 - z. What is the least common multiple of d and 33?
462
Suppose -202078 = 4*t - 4*z + 2*z, 4*t - 3*z = -202077. Let u = -400917/8 - t. Let n = u - 404. Find the common denominator of n and 1/2.
8
Let c(s) = 31*s + 115. What is the least common multiple of c(11) and 10?
2280
Suppose -4*g = -31 - 53. Let j(m) = 2*m**3 + 14*m**2 + 8*m. What is the smallest common multiple of g and j(-6)?
168
Suppose -38 = 5*a + 22. What is the common denominator of (-29*a/22)/(-4) and 55/(-440) - 1029/120?
110
Let b be -1 + 1/((-5)/2335). Find the common denominator of (-1120)/b - 8/(-36) and 64/3.
39
What is the common denominator of 21/3 - (-7)/(-252)*654 and 61/370?
1110
Let v = 3825 - 562295/147. What is the common denominator of 79/24 and v?
1176
Let a be (15/6)/(-5) - 17/(-2). What is the common denominator of -99/2 and 606/a*22/231?
14
What is the lowest common multiple of (-93)/18 - -6 - 201/(-18) and 2960?
8880
Let i = 22 - 21. Let q(d) = -136*d**3 + d**2 + d - 1. Let y be q(i). Let c = y - -2151/16. What is the common denominator of c and 91/8?
16
Let o = -18581/16 + 1166. What is the common denominator of o and 873/(-120) + 4/10?
16
Let l(i) = -i**3 + 12*i**2 + 14. Suppose 0*b = -5*z - b + 59, -21 = -2*z - 3*b. What is the lowest common multiple of l(z) and 12?
84
Let a = -55 + 69. What is the least common multiple of 88 and a?
616
Let c(h) = -h**2 - 7*h - 7. Let z be c(-7). Let u = z - 31. What is the common denominator of -4/3 and u?
3
Suppose -9*s - s + 110 = 0. Suppose -t - 7 = -s. Calculate the lowest common multiple of 11 and t.
44
Let o = -1313/56 - -172/7. What is the common denominator of o and 5/4*92/70?
56
Find the common denominator of (-513)/270 - (-1 - -5) and 1/220.
220
Let z(c) = -6*c + 10. Let r be z(-7). Suppose 0 = 4*l - 4*x - 160, -l + r = -0*x - 4*x. Calculate the lowest common multiple of l and 25/2*48/60.
180
Let o = -486 - -551. What is the least common multiple of o and 117?
585
What is the common denominator of ((-1770)/2600)/(6/5) and -69/80?
1040
Let k(a) = 6*a - 136. What is the least common multiple of 314 and k(25)?
2198
Suppose 4*q + 3*z = -2*z + 16, 0 = -3*q - 2*z + 19. Calculate the lowest common multiple of q and ((-6240)/84)/(-20) + (-2)/(-7).
36
Suppose -26 = 10*r - 96. What is the lowest common multiple of r and 1/(3/(-2) + 2)?
14
Suppose -340*q = -328*q - 2160. What is the lowest common multiple of 90 and q?
180
Let v = 65 - 66. Calculate the common denominator of (-23)/(-36)*(-4)/2 and v - -3 - 3*(-214)/(-132).
198
Let d(i) = 4*i**2 + 2*i + 2. Suppose 4*u + 3*b - 27 = 232, 4*u = -2*b + 258. What is the lowest common multiple of d(-2) and u?
448
Suppose -11*p + 362 = 54. What is the least common multiple of 480 and p?
3360
Suppose 0 = -y + 5*k - 3 - 6, -5*y = 4*k - 13. Suppose 25 = 25*f - 20*f. Calculate the lowest common multiple of 11 + (-1 + 1 - y) and f.
10
Let z = 4/351 - 7387/1404. Let t = z + -29/2. What is the common denominator of 67/21 and t?
84
Let z(b) = 6*b. Let c be z(1). Let d(x) = x + 16. Suppose 0*s + 4*s = 72. Calculate the least common multiple of d(c) and s.
198
Let k(h) = 9*h + 6. What is the lowest common multiple of 11 and k(10)?
1056
Suppose -11*j + 56 = -4*j. Calculate the least common multiple of j and 22.
88
What is the common denominator of 12/36 - 10*6/189 and 115/36?
252
Let v = 0 + -1. Suppose 69 = 8*w - 11. What is the common denominator of 1 + -41*v/w and 133/18?
90
Suppose 0 = 39*q - 22162 - 2330. Calculate the smallest common mult