)*(-504)/77.
480
Suppose v - 20 = -2*v - 5*j, 6 = 2*v - 4*j. Let u = 3 + v. What is the common denominator of -23/6 and 4/(((-140)/u)/(-5))?
42
Let m(i) = i**3 - 9*i**2 + 5*i + 19. Let l be m(8). Calculate the smallest common multiple of 87 and (3 - 111/12)/(l/8).
870
Let c = -3199/2 + 1560. Let b(l) = l**3 - 6*l**2 + 7*l - 7. Let h be b(5). What is the common denominator of h*-1 + 35/(-16) and c?
16
Let t(n) = 2*n**3 + 3*n**2 + 5*n - 16. Calculate the least common multiple of t(4) and 189.
3780
Let r = -1/2922 + -69397/1461. Let s = -48 + 82. Calculate the common denominator of r and s/(-4)*3*(-1)/(-36).
24
Calculate the common denominator of 125/54 and 285/(-228)*(8108/(-7380) + 1).
2214
Let i = 49856 - 32441. Let z = -383051/22 + i. Find the common denominator of z and -43/108.
1188
Let w = 112511812 - 181144042747/1610. Let r = -357/23 - w. Calculate the common denominator of r and -9/16.
560
Let r(u) = -20*u - 102. What is the smallest common multiple of 104 and r(-9)?
312
Suppose 2*i - 3*i = 0. Suppose 5*y + i*k - 2*k = -34, k = 4*y + 26. Find the common denominator of (2*(-226)/4)/(60/y) and -32/35.
70
Let l(o) = -2*o**2 - 19*o - 42. Let x(g) = -g**3 + 10*g**2 + 13*g + 27. What is the least common multiple of l(-4) and x(11)?
98
Let b(y) = 2*y**3 - 2*y**2 + 3*y + 1. Let w = -75 - -77. What is the least common multiple of b(w) and 9?
45
Suppose 5*l + 453 = -5*b + 4*l, 0 = 2*b - 4*l + 168. Let s = 95 + b. What is the least common multiple of 141 and s?
705
Suppose -9*j = -84 - 24. Let p be -1 + (0 - -2 - -4). Calculate the smallest common multiple of -7 - -14 - p - 4/(-2) and j.
12
Let q = 90177 - 280089731/3106. Find the common denominator of q and -37/3.
9318
Find the common denominator of (-10)/(-720)*-79 + 1 and -107/90.
360
Calculate the smallest common multiple of ((-18)/(-12))/(28/(-16)*8/(-28)) and 16.
48
Let u be (-7)/180180*-453819 + (2 - -4). Let x = -931/39 + u. Calculate the common denominator of -103/20 and x.
220
Let i = -151461659/1555 + 97403. Calculate the common denominator of -42/11 and i.
17105
Find the common denominator of 115/1602 and (-696)/9504 - 6/(-24).
17622
Suppose 9*y + 5 = 32. Suppose -6*o + 4*o - 5*a = -40, 3*o - y*a - 18 = 0. Suppose 2*j - 4*j = -22. What is the lowest common multiple of j and o?
110
Suppose i + 8*g = 514, i - 25*g + 30*g = 496. What is the least common multiple of 233 and i?
466
Let s = -501 + 506. Let q(m) = m**3 - 14*m + 71. Calculate the smallest common multiple of q(s) and 14.
126
Let x be 11 + 3/(-1)*1. Suppose 3*i - 46 = 248. Calculate the common denominator of (x/(-32))/(4/i) and 97/22.
88
Let d = 277084/33 + -8395. Calculate the common denominator of d and 23/180.
1980
Let t = -789 - -791. Suppose 499 = j - 2*d, -t*d - 484 = -j + 3*d. Calculate the lowest common multiple of j and 1.
509
Suppose 1317*l - 207 = 1294*l. Let d = 763 - 519. Calculate the lowest common multiple of l and d.
2196
Suppose s + 7*m = 10*m + 9, -s - 3*m = 9. Suppose s = -6*a + 300 + 96. Calculate the least common multiple of 156 and a.
1716
Suppose -25*m = -21*m - 16. Suppose -3*c - 15 = 0, -4*n + 0*c + 276 = -m*c. Suppose -10*v = -2*v - n. What is the lowest common multiple of v and 2?
8
Let d = 9 - -7. Suppose -43 = -7*l - 8. Suppose -2*z + 40 = -l*p, -4*z + 5*p = 2*p - 52. What is the lowest common multiple of d and z?
80
Let f = 493662653/4064740 - -1/203237. Let t be (-2)/5 + (-1932)/(-20). Let a = f - t. What is the common denominator of a and -37/12?
12
Suppose 4*y - 3*k - 11 = 5*y, 5*y + 31 = -3*k. What is the least common multiple of 12 and (2/3)/(((-15)/144)/y)?
96
What is the common denominator of 32/(-14) + 12/48 and 9/24*534/(-99)?
308
Let p = 6124 - 538873/88. Calculate the common denominator of 53/1364 and p.
2728
Let x = 21219/7 + -3027. What is the common denominator of x and 61/24?
168
Let h be (-23)/2*(5 + -7). Suppose -z = 4*t - h, -4*z + 2*t + 10 + 10 = 0. Let g = 251/36 - z. What is the common denominator of 123/10 and g?
180
Suppose 0 = q + 5*u + 2 - 28, -3*q - 12 = -3*u. Let r = 120 + -21. Let g = r - 96. Calculate the least common multiple of q and g.
3
What is the common denominator of 12 + (0 - (-418946)/(-34760)) and -133/1422?
14220
What is the common denominator of 35/(-42)*(22/66 + (-1389)/2700) and -12/55?
11880
Suppose 0 = 3*q - 5*j + 5828, 4*q + 3*j = 8*q + 7756. Let m = q - -3767. Let b = 5444/3 - m. Calculate the common denominator of -6/11 and b.
33
Suppose 2039 = 14*l - 1433. Calculate the smallest common multiple of l and 26.
3224
Let k = -19943 + 20883. Calculate the lowest common multiple of k and 220.
10340
Find the common denominator of 73/70 and (28/(-4) - -4) + (-5592)/(-1488).
2170
Suppose 0 = -3*g + 6*g - 42936. Let w = g + -1230857/86. What is the common denominator of -8 + 1072/(-96) - -17 and w?
258
Let t(j) = 2*j**2 - 2*j + 1. Let i be t(2). Suppose -20 = -i*y + 70. Let x(s) = s**2 - 27*s - 214. What is the smallest common multiple of x(-7) and y?
72
Let s(l) = -4*l + 1. Let h(a) = -a**2 + 4. Let x be h(-3). Suppose -12 = -f + 4*p - 1, -3*f = 2*p - 47. Calculate the lowest common multiple of f and s(x).
105
Let v = -46850107/148590 + -32/14859. Let i(p) = 310*p**2. Let q be i(-1). Let x = q + v. Calculate the common denominator of x and 79/8.
40
Suppose 5*o + 6*u = 8*u - 37, o + 2 = -5*u. Find the common denominator of o/35 + 1*(-939)/(-120) and -113/10.
40
Let o = -102 + 310/3. Find the common denominator of o and (2 - (-331)/(-33)) + (2 - -8).
33
Let t(r) = -r**3 - 17*r**2 + 3*r - 8. Let o(g) = -g**2 - g - 1. Let d(i) = -6*o(i) - 2*t(i). Calculate the lowest common multiple of d(-20) and 8.
88
Let q = 15920/3 - 1671569/315. Calculate the common denominator of q and 47/3255.
9765
Let l be (-3124)/(-198) - 6/(-27). Let y(q) = q**2 - 15*q + 24. Calculate the lowest common multiple of 25 and y(l).
200
Let h = 5620 + -5615. What is the lowest common multiple of h and 22?
110
Let q be (-40)/(-220) - (-1637)/11. Let u = q + -148. What is the least common multiple of u and 11?
11
Let b = -4223 - -5213. Calculate the smallest common multiple of 21 and b.
6930
Let z = -4025 + 4099. Let o = -3 + 7. Calculate the least common multiple of z and o.
148
Suppose -94*q - 61*q + 560 = -15*q. Let j = 547 + -382. Calculate the least common multiple of j and q.
660
Suppose 2*j = 6, 4*w - 14 = -4*j + 2*j. Suppose 0 = -w*v - 2*o + 36, -o - 90 = -13*v + 8*v. What is the least common multiple of v and 27?
54
Suppose b - 6*b + 260 = 0. Suppose 2*r - 51 = 17*w - 22*w, 3*w = -3. Calculate the smallest common multiple of r and b.
364
Let p = 618499/46 + -13445. Calculate the common denominator of 86/(-12)*(-7 - (9150/(-1260) - 3/18)) and p.
322
Let s(p) = p**2 + 15*p + 1. Let b be s(-7). Let u be (b/160*-197)/(86/4). Let j = u - 15/172. Calculate the common denominator of j and -75/34.
272
Let u = 16/551337 - 103322575465/3308022. Let o = u - -31242. Calculate the common denominator of o and (-15 - -9) + (-190)/(-36) - 4.
18
Let b be 19559/84 - (-10)/15. Let k = b - 1697/7. Find the common denominator of k and -7 + -1*(-294)/48.
24
Let u(m) = -31*m - 4. Let p be u(8). Find the common denominator of -4 - 2*141/p and 38/7.
42
Let o(v) = -2*v - 80. Let r be o(-18). Calculate the least common multiple of 66 and (1/(-2))/((14/r)/7).
66
Let t = -666/137 + 114548/22605. What is the common denominator of -43/418 and t?
6270
Suppose y - 4*o - 23 = 0, -4*o = -2*y - 3*y + 35. Let b be ((-8)/5)/(y*(-10)/(-525)). What is the common denominator of b/49 - (-1462)/280 and -61/32?
160
Let o = 87 + -69. Let h = -3 - -8. Suppose 3*n - 43 = c, -h*c + 18 = 2*n - 39. What is the lowest common multiple of o and n?
144
Calculate the least common multiple of 57/3 - -5*(-12)/20 and 16352.
16352
Let p(u) = 40*u**2 - 16*u + 10. What is the lowest common multiple of p(1) and 86?
1462
What is the lowest common multiple of 26 and 22/33*702/(-8)*(-39 + -1)?
2340
Suppose -84 = 29*q - 27*q. Calculate the common denominator of (-58)/(-116) - (-73)/q and (-3)/9 + 18/(-20).
210
Let p = 82725907010 - 48149392553. Let h = p + -1808005941040811/52290. Let n = h - -2/2905. Calculate the common denominator of n and -73/12.
36
Let s = -1/33055 - 3074081/1123870. Calculate the common denominator of s and -121/138.
2346
Let