 13*q + 21. Let h be ((-8)/14)/((-4)/14). Suppose h*u = -i + 5*u - 5, -3*i + 9 = 3*u. Calculate the lowest common multiple of i and q.
9
Find the common denominator of -11/2030 and (0 + 5/16)*(-205422)/(-204015).
8120
Let d = 260 - 286. Let n = d + 859/33. Find the common denominator of -50/21 and n.
231
Suppose -4*o - 150 = -2*z, -4*z - 56 = 3*o - 312. Suppose -z*v = -65*v - 16636. Let q = -274573/33 + v. Find the common denominator of -16/9 and q.
99
Let z(m) = -393*m + 11. Let j be z(-14). Let h be 88/(-22) + 132812/(-24). Let t = j + h. Calculate the common denominator of -101/44 and t.
132
Let q(w) = 11*w - 8. Let x be q(1). Suppose s + s = 3*a - 88, -5*s - 262 = x*a. Let b = 72 + s. What is the smallest common multiple of 68 and b?
748
Let l be ((-514)/8)/(29/10 - 3). Let z = l + -618. Find the common denominator of -37/10 and z.
10
Let p(l) = 2*l**2 - 25*l + 56. Let v be p(11). Let m = -14 + v. Calculate the least common multiple of 30 and m.
90
Let z(f) = -7*f**2 + 42*f + 10. Suppose -7*i + 31*i - 144 = 0. What is the smallest common multiple of z(i) and 19?
190
Calculate the smallest common multiple of (-6 - (-154)/35)/(4/(-650)) and 1300.
1300
Let m = -4613/2 - -2355. Suppose 5*q + 30 = -q. Find the common denominator of (-267)/(-75) + 1/q - 4 and m.
50
Calculate the lowest common multiple of 76/3 - (1496/(-66) - -22) and 3211.
6422
Let j = -65793/23 + 2860. Find the common denominator of (-8)/(-12 - -36) + 12/1 and j.
69
Find the common denominator of 83/585 and 117513/(-43875) + (-288)/(-108).
14625
What is the common denominator of -137/96 and 1 + 23 - 3470557/143568?
288
Find the common denominator of -51/256 and -9 + 6172/1024 + (-12)/(-4).
256
Let c = -29557 + 29570. Suppose 5*p - 25 = -0*p. What is the least common multiple of p and c?
65
Suppose 0 = -3*z - 4 + 10. Suppose -z*i + 26 = 34. Calculate the common denominator of -1 - (i - (-138)/44) and 1/24.
264
Let d(l) = 5*l + 132. Let t be d(24). Find the common denominator of 45/2 and (4 - 1269/t)/((-2)/(-8)).
14
Let o = 2495 - 2173. Calculate the smallest common multiple of 28 and o.
644
Suppose 4*j = 9*j + 2*c + 3, 0 = -3*j - 3*c. What is the lowest common multiple of 28 and ((-49)/(-147))/((j/(-6))/1)?
28
Suppose -2*b + 10 = -0. Let h = -37 + 45. Suppose 0 = -h*l + 4*l + 5*y + 77, b*l + 3*y - 87 = 0. What is the least common multiple of 4 and l?
36
Calculate the common denominator of 81/32 and (-4042)/(-608) + -11 + (1 + -10 - -13).
608
Let v = 10 - 7. Suppose 0 = v*k - 4 + 19, 5*g - 2*k = 35. Calculate the least common multiple of 39 and g.
195
Let k = 6915 - 124423/18. Calculate the common denominator of k and (1143/(-216))/((7/10)/(14/(-35))).
126
Let j be ((-7)/3)/((-63)/54). Find the common denominator of (j - -6) + (-386)/66 and -119/30.
330
Let t = 1281329713/140 + -9152293. Let k = t + -241/4. Calculate the common denominator of k and -29/2.
70
Find the common denominator of (61/15)/(1960/(-735)) and 13/310.
1240
Let h be ((-435)/143 - -4) + -1. Let n = -8848/429 + h. Let c = 37/6 + n. What is the common denominator of 79/6 and c?
6
Let q = 2689/16 - 162. Calculate the common denominator of -53/9 and q.
144
Calculate the common denominator of 31/321 and -46 + 2416330/44940 + (1 - 0 - 9).
642
Suppose 0 = v + 28 - 26, -2*v + 2 = a. Suppose -h + 2*h = 3. Calculate the lowest common multiple of (3 - 27)/a - -9 and h.
15
Let v be -1 + (-4 + 2 - -4). Suppose 4*w = -3*u - v, 5*u + 3*w = 2*w + 4. What is the least common multiple of 2912/(-819)*9/(-2) and u?
16
Suppose -656 = -10564*q + 10560*q. What is the smallest common multiple of 118 and q?
9676
Calculate the common denominator of 121/72 and (5/((-2160)/4))/(1/(-26)) + -1.
216
Let j(t) = -t + 17. Calculate the lowest common multiple of (20/14 - (-3712)/(-2030)) + 104/10 and j(11).
30
Let f be (2/(-10))/(-11 - (-3570)/325). Suppose -590 = -f*r + 1802. What is the smallest common multiple of r and 16?
368
Let g(m) = -70*m - 6644. Calculate the smallest common multiple of g(-110) and 1320.
5280
Let c = -234 - -252. Find the common denominator of -61/35 and (-116)/(-28) - c/9.
35
Let t be (1/2)/((99/(-22))/(-9)). Let o = -7 + 43. Find the common denominator of t + -1*179/o and -51/5.
180
What is the common denominator of (-8)/6 + (-8 - (-1455)/108) and -11/54?
108
Let w(a) = -a**3 - 2*a**2 - 4. Let f(o) = -o**3 + 14*o**2 + 43*o - 416. Calculate the lowest common multiple of f(15) and w(-3).
20
Suppose -534*y + 409*y = -380000. Calculate the least common multiple of y and 190.
3040
Suppose -106*s = -109*s + 72. Calculate the common denominator of 113/10 and (-6)/(-6) - 105/s.
40
Let v = -1011209/198 - -5107. Find the common denominator of -25/176 and v.
1584
Suppose 40*o + 44*o = 83*o + 6095. Calculate the smallest common multiple of o and 2.
12190
Let u = 1663 + -793. Calculate the common denominator of 1/(-30)*u/(-24) + -1 and 31/24.
24
Suppose 4*d = -7*d - 462. Find the common denominator of 3 - d/(-12) - (-89)/(-12) and (6/(-324))/((-3)/80).
324
Suppose 0 = -7*z - 22*z. Suppose 8*m + 2*m - 60 = z. Calculate the least common multiple of m and 12.
12
Suppose -68*v = -41*v - 486. Calculate the lowest common multiple of v and (4/6)/(4/12).
18
Suppose 0 = -4*d - d + 765. Suppose -2*b = 2*z + 2, 28*z - 2 = 34*z + 5*b. Calculate the smallest common multiple of d and z.
153
Suppose 3*g - 12 = k, 3*g + 2*k = 7*k. Suppose -2*a = -1 + 21. What is the smallest common multiple of (-16)/(-40) - ((-112)/a)/(-2) and g?
30
Let j be 0 - (-4 + 8 - 0). Find the common denominator of (50/(-40))/((-20)/408) and 4 + (-21)/j + -1.
4
Let q(v) = 11*v**2 - 4*v - 3. Let c be q(-2). Suppose 21 + c = 5*d. Suppose 319 = 158*n - 313. What is the smallest common multiple of d and n?
28
Let y(p) = -70*p - 82. Let z be y(-2). Suppose 0 = -3*s + s + 5*c + 93, -2*c = 2*s - z. Calculate the lowest common multiple of s and 9.
306
Suppose 4*w + 3*p - 19 = 0, -21 = -4*w - 2*p - 3*p. Let x(s) = 80*s - 12. Let n be x(w). Let g = n - 3405/11. Find the common denominator of -18 and g.
11
Suppose 0 = -4*d - 24, -3*h - 166*d + 789 = -170*d. Calculate the lowest common multiple of 255 and h.
255
Let v = -3353 - -3416. What is the smallest common multiple of v and 63?
63
Calculate the common denominator of ((-48)/(-30105))/(4/20) and 56/27.
6021
Let g = 2/120587 + 13143703/16882180. What is the common denominator of 1/(-4)*(-632)/12 and g?
420
Let o be -16 - -21 - 119788/(-32). Let f(w) = 626*w + 3. Let a be f(6). Let t = o - a. Find the common denominator of t and 115/28.
56
Let o(t) = t**2 - 35*t - 114. Let w be o(38). Suppose 6*m - 837 = -3*b + 3*m, w = -b + 4*m + 274. What is the smallest common multiple of b and 6?
834
Let c(j) = 87*j + 2092. What is the smallest common multiple of c(-23) and 980?
12740
Suppose 2*n = 2*g - 448, 2*g - 368 - 76 = n. Calculate the common denominator of 74/27 and ((-4)/(-72))/(35/g).
189
Let x = -2/125428645 - -73953607092611/6020574960. Let o = 12284 - x. What is the common denominator of o and -47/24?
48
Let v = 5240 + -4504. What is the least common multiple of 368 and v?
736
Let f(c) = c**3 - 136*c**2 + 9*c - 1211. Suppose 0 = -0*a + 4*a - 28. What is the lowest common multiple of f(136) and a?
91
Let o = 1554 + -7794/5. What is the common denominator of o and -24/65?
65
Suppose v + 3*q = 42, 3*v + 1 = -3*q + 109. Suppose -13*j + 16*j = -4*o + 264, -330 = -5*o - 3*j. Calculate the lowest common multiple of o and v.
66
Suppose -5*j = j + 18. Find the common denominator of 111/20 and 0 + j - (1179/(-108) - -9).
60
Let p(q) = -14*q - 7. Let h be p(-4). Let x = -70 + h. What is the common denominator of (x/15)/((-6)/(-65)) and 65/42?
42
Suppose -5*l = -x - 5208, 2*l - 4*x - 394 = 1718. Calculate the smallest common multiple of l and 3360.
43680
Let p = -3151 - -3376. What is the smallest common multiple of p and 1530?
7650
Let w = -389/770 + 6/55. Calculate the common denominator of w and (-57)/(-30) + (4 - -5).
770
Suppose 5*g - 345 = 2*d + 62, -d + 3*g = 205. Let z = d + 240. Let h(n) = 10*n. What is the smallest common multiple of z and h(2)?
220
Let b be ((-1092)/8)/(-7)*-6. Find the common denominator of (-33)/(-54)*b/6 and (-3)/(-4)*189/28.
48
Let a = 683 - 3451/5. Let k = -1590 + 9511/6. Find the common denominator of a a