 p = 5 - 2. Suppose p*u - 53 = -5*i + 5*u, 17 = i - 2*u. Calculate the lowest common multiple of i and 10.
90
Let x = -3 + 36. Suppose 2*g - x = -g. Suppose -3*a + 3 = -3*m - 9, 0 = 5*a + 2*m - 48. What is the smallest common multiple of a and g?
88
Suppose 0 = 3*d - 3. What is the common denominator of d/3*1/(-2) and -3 - ((-73)/10)/1?
30
Suppose -3 = -3*n, 5*n = -5*c - 0*c + 30. What is the smallest common multiple of c and 8?
40
Let o be (2/240)/((-14)/(-335)). Let p = o + -7/16. Let n = p - -955/42. Find the common denominator of n and -13/2.
2
Suppose 170 = 5*i + 3*a, -5*a = 14*i - 16*i + 37. Calculate the common denominator of (-404)/(-14)*(-3)/12 and i.
14
Let f(m) = m - 1. Let u be f(8). Suppose 3 = 5*h - u. Suppose 4*z + 2*g - 18 = 0, -h*z + 0*z - 4*g = 0. What is the least common multiple of z and 18?
18
Let q = 45 - 18. What is the least common multiple of q and 33?
297
What is the common denominator of (-12)/(-16)*21/(-99) and -19/44?
44
Let u(t) = t**2 + 10*t + 1. Let n be u(-10). What is the common denominator of -47/8 and 595/(-60) + -3 + n?
24
Suppose w = -0 - 3. Let b be -2 + 0*(-1)/w. What is the common denominator of (-73)/8*b/2 and 29/5?
40
Let k = -21503/5732 - -2/1433. Suppose -3*n - 554 = 4*z + 2*n, -282 = 2*z + 5*n. Calculate the common denominator of ((-3)/(-24))/(18/z) and k.
36
Suppose 4*v + 4*l - 13 + 1 = 0, -l = 5*v - 35. Calculate the lowest common multiple of 6 and v.
24
Suppose 120 = -2*f + 3*x, -f + 5*f + 3*x = -204. Let j be ((-2)/(-3))/((-4)/f). Let s = j + -5. What is the lowest common multiple of 14 and s?
28
Suppose -2*k - 6 = -3*k. What is the smallest common multiple of 3 and k?
6
Suppose 0 = -2*d - 0*d + 6. What is the common denominator of d/(-12) - 121/4 and 71/8?
8
Let f(o) = 2*o - 5. Let j be f(5). Suppose -2*y = 6, -3*w - w = j*y - 41. Calculate the least common multiple of 12 and w.
84
Let l(u) = 5*u + 11. Let f(s) = -6*s - 12. Let c(m) = -4*f(m) - 5*l(m). What is the least common multiple of 12 and c(-9)?
12
Let v(x) = -x + 2. Let z be v(0). Suppose 3*a - s + 0*s - 59 = 0, -z*a + 4*s + 56 = 0. Calculate the lowest common multiple of 18 and a.
18
Let i(w) = -w**3 - 6*w**2 - 6*w + 2. Let x be i(-5). Let k(l) = -l**3 + 8*l**2 - 4*l - 16. Calculate the smallest common multiple of k(x) and 3.
15
Suppose -9 = -3*v + 21. Let o = 39 + -28. What is the smallest common multiple of o and v?
110
Let m(c) = c**2 + 4. Let d be m(0). Let t be -106*((-2)/d - 0). Suppose -t = -5*x + 17. Calculate the smallest common multiple of 18 and x.
126
Let t = -6 - -17. Let m = t + -20. Let g = m - -15. Calculate the lowest common multiple of g and 11.
66
Let c = 5 - 1. Suppose -2*w + 4*w + 14 = b, 3*b = c*w + 42. Calculate the smallest common multiple of 18 and b.
126
Calculate the least common multiple of (2/14 - (-1314)/63) + 0 and 33.
231
Let k be (6/15)/(4/60). Suppose 0 = -3*z + 33 - k. Calculate the lowest common multiple of 9 and z.
9
Let b = 65 + -43. What is the smallest common multiple of 50 and b?
550
Suppose 0*p - 2*w + 289 = 3*p, 5*w = 4*p - 347. What is the common denominator of (-2)/(-8) - p/(-6) and -9/10?
20
Let p(j) = -j + 3. Let b be p(-5). Suppose -3*u - 110 = -b*u - 5*o, 22 = u - 3*o. Suppose -2*d + d = -u. What is the smallest common multiple of d and 12?
132
Suppose s - 1 = 3. What is the common denominator of (-146)/s - -1 - 3 and -71/4?
4
Let a = 1208 + -4805/4. Let x(m) = 12*m**3 + 4*m**2 - 5*m + 6. Let o be x(4). What is the common denominator of (-27)/(-45) - o/(-20) and a?
4
Suppose v - d = 0, 2*v + 4*d + 2 = 7*v. Calculate the common denominator of 2 - (2 + (-11)/(-16)) and v + (-67)/20 - 1.
80
Suppose -3*s + 5*p + 765 = 210, 5*s - 2*p - 925 = 0. Calculate the common denominator of 4/18 - s/90 and 37/5.
30
Let y = 8 - 3. Suppose -y*a + 8 = -a. What is the least common multiple of 12 and a?
12
Suppose -z = 7 - 19. Let t be 6/18 + (-178)/3. Let n = -39 - t. What is the smallest common multiple of z and n?
60
Let z be 9 + (-1)/((-2)/(-6)). Suppose 2*v + z = -2*j, 0 = -4*j + 3*j + 3*v + 13. Calculate the least common multiple of 3 and j.
3
Let d = 2 + 1. Calculate the smallest common multiple of d and 1.
3
Let b = -61465/29722 - 1/5404. Calculate the common denominator of b and 57/4.
44
Let h be ((-76)/95)/(4/(-10)). Suppose 3*k - 9 = -h*a, -5*k - 5*a - 5 = -20. Calculate the lowest common multiple of k and 10.
30
Let s(x) = 3*x - 10. Suppose 2*u + 5*f = 7, 3*u - 23 = 2*f - 3. Let g be u/2*(-21)/9. Find the common denominator of s(g) and 37/4.
4
Let i(u) = -3*u + 15. What is the common denominator of 68/3 and i(11)?
3
Let k = -4 - -3. Calculate the common denominator of 67/(-44) - k/4 and 235/(-63) - 2/(-7).
99
Calculate the common denominator of -49/3 and 25 - 23 - (-158)/(-78).
39
Suppose 4*u + 38 - 10 = 0. Let k = 13 + u. What is the smallest common multiple of k and 9?
18
Let f = -6 + 14. Let x = 28 - f. What is the least common multiple of 7 and (x/(-6))/((-1)/3)?
70
Calculate the least common multiple of 4 and 0 + 0 - (0 + -10).
20
Let y = -22/63 - 4511/252. What is the common denominator of 11/14 and y?
28
Let v = 25 + -17. Let q be ((-14)/(-6) - 2)*6. Suppose 4*w - 54 = w - q*h, 2*h - 72 = -4*w. What is the smallest common multiple of w and v?
72
Let x be 40/(-7) - 8/28. Let y(q) = q**3 + 7*q**2 + 5*q + 2. Suppose 26 + 15 = 4*v + w, v + w = 11. Calculate the smallest common multiple of v and y(x).
40
Calculate the common denominator of 115/72 and 176/24 + 1/(-2).
72
Let p = 96 + -181/2. Let g be 5/(80/(-3966)) + -3. Let f = 250 + g. Calculate the common denominator of p and f.
8
Suppose 5 = n + p, -3*p = n + p - 8. Find the common denominator of (2/40)/(-1)*119 and ((-2)/n)/((-4)/202).
20
Suppose -3*c + 1232 = o, o + 3*c = 4*o - 3660. Let g = 13492/11 - o. Find the common denominator of -14/5 and g.
55
Find the common denominator of -41/3 and (-45)/(-18)*(-118)/(-20).
12
Let a = 27026/9 - 3007. Let o = -1651/5 + 18061/55. Calculate the common denominator of o and a.
99
Calculate the common denominator of 40/3 and 2/(-5)*7/(-24)*-10.
6
Let c = -1742 + 17327/10. Suppose 0 = -u + 5. What is the common denominator of (u/(-6) + 1)*92 and c?
30
Suppose -3*j + 8 = -2*q, -4*j + 6*j = 5*q - 2. Let u = 2 + 2. Calculate the lowest common multiple of u and j.
4
Let t = -116/5 - 13/10. Calculate the common denominator of -37/3 and t.
6
Suppose 5*f = 2*q + 15, -3*q + 9 = 3*f - 21. Calculate the lowest common multiple of q and 18.
90
Let t(b) = b**3 - 2*b**2 + b - 2. What is the lowest common multiple of t(3) and 4?
20
Suppose -v + 4*v - 9 = 0. Let n(q) = -4*q - 4. What is the common denominator of 39/(-4) - (-3 + v) and n(4)?
4
Let n(y) = y**3 + 7*y**2 - 8*y + 4. What is the lowest common multiple of n(-8) and 18?
36
Let u(y) = 2*y**2 + 2*y + 3. Let v be u(-5). Calculate the common denominator of (v - 0)*8/(-16) and 171/(-15) - -3 - 2.
10
Let r = 13582174/2211 - 6143. Let q = -112756/11055 - r. What is the common denominator of 48/11 and q?
55
Suppose -232 = -5*t + 13. Calculate the lowest common multiple of 3 and t.
147
Let o = -7009510453/688921566 + 240/423691. Let l = 2/271 + o. Let x = -757/276 + -4/23. Find the common denominator of l and x.
12
Let d(n) = -n - 5. Let q be d(-9). Let x = q + 3. What is the smallest common multiple of 4 and x?
28
Suppose q - 2 = 0, 0*q = y + q - 5. Let h = -3 + y. Suppose d - 10 = -h*d. Calculate the smallest common multiple of d and 1.
10
Let w be (12/8)/((-1550)/8). Let u = w - -34899/3100. What is the common denominator of u and -31/5?
20
Let q = 28 - 16. Find the common denominator of (5/q)/(1/9) and 0 + 4/((-64)/190).
8
Let h = 4 + -4. Suppose -4*f - f = h. Suppose f = 3*p - 5*u + 2, -5*p + 23 + 11 = u. Calculate the least common multiple of 2 and p.
6
Let h(q) = -q**2 + 12*q + 7. Calculate the smallest common multiple of h(10) and 15.
135
Find the common denominator of ((-2)/(-30))/((12/(-535))/(-3)) and 87/26.
156
Suppose 3*x - 2*s + 7*s = -6, x - 12 = 3*s. Calculate the lowest common multiple of 8 and x.
24
Let l = 6 - 10. Let m = 2 - l. Calculate the smallest common multiple of m and 5.
30
Let z(a) = a**3 - 6*a**2 + 6*a - 1. Let d be z(5). Suppose d*v - 3*w = 2*w + 97, -3*w = v - 3. Calculate the lowest common multiple of v and 10.
90
Let g(h) = 2*h**2