
180
Let x be 2/3*(-4273)/3. Let q be ((-366720)/3200)/((-3)/25). Let a = q + x. Calculate the common denominator of a and -17.
9
What is the least common multiple of 5942/20 + (-14 + 6)/80 and 1242?
13662
Suppose 2*q + 14 - 56 = 0. Suppose 148*h - 2592 = 100*h. Calculate the smallest common multiple of h and q.
378
Find the common denominator of ((-1255)/(-2625) - 1)*(7 - (-493)/(-68)) and -14/375.
5250
Suppose -12*z + 1456 = -2720. Calculate the least common multiple of z and 4.
348
Let x be 1*(1 + 3 - 4). Suppose x = 5*y - 58 - 37. Suppose v = y - 8. Calculate the smallest common multiple of v and 3.
33
Let l = 473 + -446. Calculate the least common multiple of 3 and (6336/l)/11 - (-1)/(-3).
21
Let p be ((-30)/(-12))/(1/2). Suppose -5*i - 2*a - 172 = a, 0 = 3*i + p*a + 116. Find the common denominator of 1168/i*2/22 and 44.
22
Let c = 1759 + -7193/4. Let h be 6/(-39) - (-43788)/1040. Let z = h + c. Calculate the common denominator of z and 17/5.
10
Suppose -4*q - 52 = n + 47, 0 = 3*q + 2*n + 68. What is the common denominator of (6/(-9) - 62/(-12))/((-384)/800) and q/10*(-27)/6?
40
What is the smallest common multiple of 343 + (11 + -4 - 12) and 78?
1014
Let r(a) = 309*a + 807. What is the least common multiple of r(-2) and 42?
378
Suppose -4*o - 292*l = -289*l - 85, 0 = 3*l + 15. What is the lowest common multiple of 51 and o?
1275
Suppose 3*l = -2*o + 11, 0 = -5*o + 3*l + 2*l + 90. Let u = o - 5. Let v(j) = -294*j - 6431. What is the lowest common multiple of v(-22) and u?
296
Suppose -13*k + 598 + 156 = 0. Let g = k - 46. What is the lowest common multiple of g and (-4)/14 + (-7)/(49/(-114))?
48
Suppose 12*i - 3698 = 2*i + 12502. What is the lowest common multiple of 90 and i?
1620
Let p = 10/1203 - 16451/1203. Find the common denominator of 131/70 and p.
210
Let i be (-3 - -2)/((-4)/(-92)). Let x = -1193 - -1196. Calculate the lowest common multiple of 16 and 1173/i*(-4)/x.
272
Let s = 1652 - 1183. Calculate the lowest common multiple of s and 70.
4690
Let y be -3 + 4 + -2 - (-1 - 24). Suppose 6*a - a - 100 = -5*l, -a = -l + y. Calculate the lowest common multiple of 6 and l - ((1*-4)/4 + 2).
42
Let l = -45 - -69. Calculate the smallest common multiple of l and -2 + 5 + 1 - -8.
24
Let c be (-21)/(-6) + 1/(-2). Let m(d) = 3*d - 2. Let t = -4299 + 4300. What is the smallest common multiple of m(c) and t?
7
Suppose 15*r = 348 + 252. Calculate the common denominator of (-9)/42*(-4620)/r and ((-1)/(-5))/(12/1370).
12
Let n = 230 - 140. Suppose 0 = -p + 6*p - n. What is the least common multiple of p and 2211/2211*(3 + 2) - 2/((-2)/23)?
252
Let x = 1816/7 - 7901/28. Let f be (-2411614)/191400 + (106/(-22) - -5). Let k = f - -1/725. What is the common denominator of x and k?
12
Let v = 4511 + -126311/28. Calculate the common denominator of v and 25/692.
4844
Find the common denominator of -2 + (-16774)/(-6840) + 306/(-510) and -17/22.
7524
Suppose 0 = o + 3*o + 517 - 565. What is the least common multiple of 24 and o?
24
Let s = -6868 - -3379049/492. Calculate the common denominator of 107/1066 and s.
6396
Let l(t) = 3*t + 34. Let a be l(-10). Suppose a*n + 12 = 5*n. Let w(x) = -x**3 + 11*x**2 + 14*x - 12. What is the smallest common multiple of 36 and w(n)?
36
Suppose 16*o - 18 = 10*o. Suppose 0 = -o*l + 7*d - 8*d + 211, 5*l = 5*d + 325. What is the least common multiple of l and 27?
621
Suppose 23*w - 7176 = 14*w - 60*w. Calculate the lowest common multiple of 208 and w.
208
What is the least common multiple of 3 and 496/6*(-18 - -39)?
5208
Suppose -3569 + 18098 = 148*c - 13443. What is the lowest common multiple of 22 and c?
4158
Let i = 39554 + -5141989/130. Calculate the common denominator of 133/1560 and i.
1560
Let l be ((-205956)/3)/(-2*5/10). Find the common denominator of l/(-14400) - 2/(-25) and -97/92.
368
Suppose -27*y + 141*y + 40490 = 42998. What is the least common multiple of y and (-6)/((-2 + 4)/(-2))?
66
Suppose 835*g = 807*g + 15232. What is the lowest common multiple of 128 and g?
2176
Let s = -387/10 - -40. Find the common denominator of s and ((-30)/35)/((-66)/341).
70
Suppose 112*k - 2747 + 619 = 0. Suppose 2*r - 5*r = -99. Suppose 2*y = -13 + r. What is the lowest common multiple of k and y?
190
Suppose -4*r + 35 - 15 = 4*m, 0 = r - 5*m - 17. What is the smallest common multiple of 11 and -12 + r - 468/(-6)?
803
Let d(m) = -m**3 - 9*m**2 + 8*m - 20. Let o be d(-10). Suppose o = -10*y + 4 + 16. Calculate the common denominator of y/(-222)*(482/(-4) - 1) and -107/14.
518
What is the common denominator of (1345/3228)/(50/44) and -9/3385?
20310
Let r(g) = g**3 + 11*g**2 + 19*g - 25. Let h be r(-8). What is the common denominator of 86/15 and (-10)/h + (-184)/(-12)?
15
Let z = -1265 - -1517. What is the smallest common multiple of z and 324?
2268
Suppose -4*g = 646*n - 651*n + 446, 12 = -3*g. Calculate the lowest common multiple of n and 13.
1118
Suppose 18*a - 15*a = -0*a + 1050. What is the smallest common multiple of a and 1575?
3150
Suppose 3*d + 222*m = 217*m + 98, 144 = 4*d + 4*m. Calculate the lowest common multiple of d and 7.
287
Let v = -94791 - -25878026/273. Calculate the common denominator of -44/273 and v.
273
Let o = -55011 + 84805. Let k = 714919/24 - o. Find the common denominator of ((-2)/(-28))/((-24)/3836) and k.
24
Let v be (0/(-12))/(2 - 3/3). Suppose -330 = -4*h - h - 4*p, v = 2*p. Calculate the smallest common multiple of h and 16.
528
Let c(a) = a**3 + 8*a**2 - 13*a + 14. Let i = -34 - -33. What is the common denominator of i/((-628)/(-2244) + 4/(-22)) and c(-9)?
5
Let x(r) = -79*r - 1174. What is the least common multiple of x(-16) and 6?
90
Let q = 425 + -308. What is the smallest common multiple of 36 and (-1375)/(-65) - 18/q?
252
Let j = -232 - -235. Suppose -6*o = -3*o - u - 59, 0 = j*o + 4*u - 79. What is the least common multiple of 81 and o?
567
Let g(c) = 5*c**3 + 7*c**2 + 24*c - 282. What is the lowest common multiple of 9 and g(14)?
136314
Suppose 253*u = -951*u + 60200. Let y(g) = -g**3 - 7*g**2 + 7. Let k be y(-5). Let d = -21 - k. Calculate the smallest common multiple of d and u.
550
Let d = 536899/24 - 22374. Calculate the common denominator of d and -13/1704.
1704
Let d = 21 - -130. Let h(p) = p**2 + 1563*p - 9405. What is the least common multiple of d and h(6)?
1359
Let v = 3508707/14 + -250428. Let g be (179/(-21))/((-21)/(-378)). Let n = g + v. Find the common denominator of n and -47/2.
2
Let r = 27793/5110 + -542/73. Find the common denominator of 19/1280 and r.
8960
Let x = 5 - 1. Suppose -x*r = 0, -2*r - 2*r = 3*j - 30. What is the smallest common multiple of 19 and j?
190
Suppose -66*h + 62*h = 3*v - 4776, h - 1195 = -v. Let b = h + -1180. Let q(a) = 2*a**2 - 6*a + 3. Calculate the lowest common multiple of q(6) and b.
429
Let j(b) = -161*b + 1183. Calculate the lowest common multiple of j(7) and 525.
4200
Let q = -31738 - -31768. What is the lowest common multiple of q and 96?
480
Let s be (2 - 1)/(1/5). Suppose 10 = s*r, -4*r = -4*i - 115 + 11. What is the common denominator of ((-4)/30)/(i/4530) and -41/8?
24
Let x be ((-30)/(-4))/(12/16). What is the lowest common multiple of (-2 - (-2)/(-10))/(2/(-20)) and 82/5 + ((-24)/x - -2)?
176
Let w(i) = 9*i**2 + i + 2. Suppose -2*u + 73 - 33 = 4*l, u + 5*l - 38 = 0. What is the lowest common multiple of w(-2) and u?
72
Let y be (1 + -3)/(-6) - (-104049)/(-311985). Let s = y + 427579/254210. Let c = 11921 - 381433/32. Calculate the common denominator of c and s.
352
Let g be (-4 - -3)/((-2)/(-10)). Let q be (3/g)/(15/(-75)). Calculate the common denominator of (-101)/q*(-15)/70 and 41/2.
14
Let n(c) = 84*c**3 + 34 + 89*c**3 - 174*c**3 - 11*c**2 - 13*c. What is the lowest common multiple of 12 and n(-11)?
708
Suppose -43*w + 48*w = 120. What is the smallest common multiple of (-3)/(-4) - (-198)/24 and w?
72
Suppose -8*m + 280 = -m. Let p = 58 - m. Calculate the common denominator of -41/21 and (376/p - 2)*12/(-64).
168
Let c = 244667/445 + 12721813/534. Let t = c + -24369. Calculate the common denominator of t and 37/9.
90
Suppose 0 = -q + 5. Suppose -2*b + 5*d - 1 = 4, 4 = 4*b + 4*d. Suppose b = 11*y - 12*y + 32. Calculate the smallest common multiple of y and q.
160
Let m = -3120 + 3355. What is the least common multiple of