513/621 + 37/621. Let g = j + 432. Find the common denominator of 4 and g.
3
Let b = -656 + 664. Calculate the lowest common multiple of b and 38.
152
Let c = -339/224860 - 56697540407/6071220. Let k = c + 9340. What is the common denominator of k and -143/6?
54
Let l = 94 + -64. Suppose -2*m = -0 - 20. Let v = l - m. Calculate the least common multiple of 18 and v.
180
Let f = 6239 - 12551/2. Let g = 62219/16 + -3886. Calculate the common denominator of g and f.
16
Find the common denominator of -10 - 18*55/(-70) and ((-94)/16)/((-1)/(-2)).
28
Find the common denominator of (-639)/(-15)*(-6)/(-18) - 4 and (-2)/6 + 290/12.
30
Suppose 5*d + 4 = 4*a, a + 2 = -2*a + 5*d. Let m(r) = r - 2. Let q be m(a). Suppose q*v - 28 = 2*v. What is the least common multiple of v and 8?
56
What is the common denominator of 540/(-243)*10/(-8) and -29/13?
117
Suppose 0 = 5*z + 3*b + 2, -2*b - 12 = -5*z + 3*z. Calculate the least common multiple of z and 1*(18/(-9) + 6).
4
Let i = 1532783/60 + -25547. What is the common denominator of -121/408 and i?
2040
Let r = 570201443085 - 2288788557347429/4014. Let u = 126100/223 + r. Let n = -9326 + u. Calculate the common denominator of -1/2 and n.
18
Suppose 19*k + 108 = 22*k. Calculate the lowest common multiple of 52 and k.
468
Suppose -2*k = -5*n - 4*k - 1835, 3*n + 1112 = k. Let g = -4833/8 - -601. Find the common denominator of (-2 - 1)*n/(-54) and g.
8
Let q = 240737/12 + -20049. Let x = -11389/6 - -1890. Calculate the common denominator of x and q.
12
Suppose p = 2*b + 3*b - 25, 20 = 4*b. Suppose 4*a - 2*h - 22 = p, -h + 19 = a - 6*h. Calculate the smallest common multiple of a and 8.
8
Let p be (-116)/6 - 7/(-21). Let u = 21 + p. What is the smallest common multiple of u and 4?
4
Let b be 5 - 5 - (-576)/46. Let q = 4329/230 - b. Calculate the common denominator of q and 562/(-12) - (120/18 + -6).
10
Suppose -3*y - 194 = -4*h, 6*y + 164 = 3*y - 2*h. Let q = y - -76. Calculate the lowest common multiple of 15 and q.
90
Suppose 15*z - 10377 = 14*z. What is the common denominator of (1 - -1)*(5 + z/(-1980)) and -41/16?
880
Suppose 45*n - 46*n - 12 = 0. Let p(z) = -z**3 - z**2 - z. What is the least common multiple of -4*7/(56/n) and p(-2)?
6
Let r(h) = 23*h**2 + 3*h + 4. What is the lowest common multiple of r(-1) and 63?
504
Let z = -3/1898 + -35571/10439. Let t be (2/12 - 0) + (-559806)/27. Let i = t + 20741. Find the common denominator of i and z.
198
Suppose 95*y + 34*y = 19866. Calculate the lowest common multiple of 28 and y.
308
Let w = 8575 + -1226204/143. What is the common denominator of -3/8 and w?
1144
Suppose -2*p = -4*p + 10. Let q = -32/7 + p. Find the common denominator of q and (1 + 11/(-5))*-3.
35
Suppose -7*n + 2*n + 2*s + 32 = 0, -2*n + 20 = s. Let b = n + -7. Let a(r) = -r + 17. What is the smallest common multiple of b and a(8)?
9
What is the common denominator of 910/104 + (-15)/9 and -81/2?
12
Suppose 139 = -6*t + 43. Let n = t + 2. Let v(y) = -y + 2. What is the least common multiple of v(n) and 24?
48
Find the common denominator of (-405)/(-264) - (-12)/(-16) and 99/40.
440
Let v = -34 + 35. Let z(t) = 11*t**2. Suppose 0 = 2*j + 4 - 2. Calculate the lowest common multiple of z(j) and v.
11
Let c(n) = 5*n**3 + n - 2. Let g be (-2 - (-2 - 1))*1. Let m be c(g). Suppose 0 = -m*w + 5*w - 20. Calculate the lowest common multiple of w and 6.
60
Let y = -1976547/6200 + 134/775. Let u = y + 321. Find the common denominator of -44/21 and u.
168
Let i = 2696 - 1613. Calculate the lowest common multiple of 4 and i.
4332
Let w(k) = 2*k - 19. Let z be w(11). Suppose g = 2*y + 3*y + 75, -g + 81 = -z*y. Find the common denominator of -29/10 and (-4)/6 - (-3975)/g.
10
Suppose -28*a + 22*a - 252 = 0. What is the common denominator of -101/18 and (-11 - -2)/((-7)/(a/12))?
18
Suppose 14*j = 12*j + 108. Suppose -10*b + j = -b. Let k = -63 - -93. Calculate the smallest common multiple of b and k.
30
Let f(i) = -i**3 + 8*i**2 - 4*i - 10. Let o be f(7). Suppose o*s - 3*s = 120. What is the smallest common multiple of 6 and s?
30
Let m = -6 - -8. Suppose -262 + 268 = 3*b - 3*z, 0 = -2*z. Calculate the smallest common multiple of m/5 - (-108)/5 and b.
22
Suppose 11*v - 14*v + 99 = 0. Let p = -19 + v. Let n(c) = c**2 - 13*c - 4. Calculate the smallest common multiple of 10 and n(p).
10
Let o(m) = -5*m**3 - m**2 + 6*m + 3. Let c(q) = -q - 9. Let y be c(-7). Calculate the least common multiple of 18 and o(y).
54
Calculate the smallest common multiple of 66 and (-8 + (-56)/20)/(6/(-20)).
396
Calculate the common denominator of -1 + 18/15 + 224/1360 and -67/20.
340
Suppose -6*q - 5*g = -2*q - 15, -5 = 5*g. Suppose 29 = 3*a - 5*z, 0 = -2*a - 0*a - 5*z + 11. Calculate the smallest common multiple of q and a.
40
Let n be 2 + 1 - (-7 - -2). Suppose -5*j - n = 2. Calculate the lowest common multiple of 10 and (16 - 2) + j + 4.
80
Let d = 216136/3 + -71392. Let l = -15545/24 + d. Find the common denominator of (-115)/44 + (-3)/(-12) and l.
88
Suppose 4*k - 182 = 2*b, -224 = -5*k - 0*k - b. Calculate the lowest common multiple of k and 20.
180
Let s be 12/3*(-5)/(-20). Let q(p) = -4. Let w(n) = n + 1. Let y(m) = s*q(m) + 5*w(m). Calculate the lowest common multiple of y(1) and 6.
6
Calculate the common denominator of (-819)/(-442) + 15/(-6) and 103/6.
102
Calculate the least common multiple of 6 and (3 + 9)*((-68)/(-8) - 3).
66
Calculate the common denominator of 151/180 and (-20)/(-90) + (-359)/306.
3060
Find the common denominator of -4/473 and ((-1)/((-33)/2))/(139/(-7089)).
473
Let d(n) = n**3 + 8*n**2 - n**2 + 2*n + 15 - 6*n**2. What is the lowest common multiple of 9 and d(0)?
45
Find the common denominator of -9 - (13702/132)/(-13) and 149/42.
462
Suppose -3*t = -23 - 61. Let m = 294 - 172. Suppose -11*d + m + 10 = 0. Calculate the least common multiple of d and t.
84
Let h = 111623/22 + -5076. Let k(m) = 26*m - 6. Let w be k(-4). Find the common denominator of h and (15/8)/(w/120).
22
Let d be 1 + ((-108)/(-2))/(-3). Let v = 13 + d. Find the common denominator of (52/(-20))/(v/10) and 31/9.
18
Suppose 4*v - 11 = 9. Suppose -5*r - 62 = -u, 35 - 183 = -4*u - v*r. Calculate the common denominator of u/20 + (4 - 4) and -37/7.
70
Suppose -4*p - 4 = -16. Suppose 5*f - p*f - z = 23, 41 = 4*f - 3*z. Suppose r - f = -8. What is the least common multiple of 1 and r?
6
Let d(x) = -x**3 - 5*x**2 + 1. Let s be d(-5). Suppose s = -8*q + 17. What is the lowest common multiple of q and 4?
4
Let o be 1/3*3 + (-1629)/48. Let a = o - -12879/400. Let v = 75/23 + -855/368. Find the common denominator of a and v.
400
Let m be (-4)/(-6) - 70/(-21). Let b(k) = 21*k - 1. Let d(p) = 5*p. Let v(n) = -6*b(n) + 26*d(n). Calculate the least common multiple of 30 and v(m).
330
Calculate the common denominator of 43/90 and (-305)/(-175) - (215/50 - 4).
630
Suppose -5*a + 405 = -5*p, -a + 4*p = -0*a - 75. What is the common denominator of (6/30*a)/((-6)/(-5)) and 59/5 + 4/(-10)?
30
Let n(p) = -p**3 - p**2 + 3. Let v be n(0). Suppose -4*q - q + 46 = 2*a, -q = -v*a + 86. Let i = -1969 - -1989. What is the lowest common multiple of a and i?
140
Suppose -4*c = -6 - 14. Suppose -25 + c = -4*w. Suppose w*r = 25 - 5. Calculate the lowest common multiple of r and 4.
4
Suppose -2*c + 7667 = 1631. Suppose -a + 1004 = h, 0*a - c = -3*a - h. Find the common denominator of (-2)/(-9) - a/198 and 73/6.
66
Suppose -l - 4*l + 34 = j, j - 34 = -3*l. Calculate the least common multiple of 9 - 4*(-20)/16 and j.
238
Let t(s) = -22*s - 146. Let z(w) = -w**3 - 7*w**2 - 5*w + 8. Let k be z(-6). What is the least common multiple of t(-7) and -2 + k + (0 - -2)?
8
Let q(z) = z**3 - 6*z**2 - 12*z - 14. Let w(j) = j**2 + 4. Let i be w(-2). What is the smallest common multiple of q(i) and 8?
72
Calculate the common denominator of -17/261 and (-1769)/(-244)*1/3.
1044
Let v = 205/6 - 5/3. Let l be (-453)/(-4)*8/(-180). Let f = l - -26/5. What is the common denominator of v and f?
6
What is the common denominator of 162/(-16)*60/(-855) and -125/6?
114
Let y = 21 - 6. What is the common denominator of 166/12*y/(-5) and -23/9?
18
What is the lowest common multiple of (1 - 2)/(2394/(-238) + 10) and 3?
51
What is the smallest common multiple of 2/13 + (-50)/(-13) + -2 and 94?
94
Suppos