What is the lowest common multiple of x and 1900?
1900
Suppose 4*j = 2*w - 8, -3*j - 2*w + 2 = -6. Suppose 5*a + 140 - 35 = j. Find the common denominator of 11/7 and 6/(-105)*5 - (-155)/a.
21
Suppose 92*i - 52*i + 264 = 62*i. What is the lowest common multiple of i and 312?
312
Calculate the smallest common multiple of 23 and -1 + 12 + (-136)/(-8).
644
Let n = -541903755005405/28362 + 19106683419. Let h = -584/163 + n. Find the common denominator of h and 17/11.
1914
Let o be (-2)/20 - 2036*4/160. Suppose -2*p + 4 = -2, 2*x - 5*p = -107. Let h = x - o. Calculate the least common multiple of h and 1.
5
Find the common denominator of (-111)/(-10)*(-895)/14499 and -125/72.
216
Suppose -95820 = j - 16*j. Let n = j + -38441/6. What is the common denominator of 201/6*(-2)/14 and n?
42
What is the common denominator of (-24 - 9)/(8 + 32) and -11/4?
40
Suppose 5*q = 3*h - 1254, -9*q + 6*q - 2874 = -7*h. Calculate the lowest common multiple of 80 and h.
4080
Let x = 4/57179 - -151105/292070332. Let v = -232441/45972 + x. What is the common denominator of v and 1/18?
18
Let b = 29 - 69. Let a = -50 + b. Find the common denominator of 5 - ((-466)/a - 0) and 76/9.
45
Suppose 32*l = 47*l - 1215. Calculate the smallest common multiple of 81 and l.
81
Let t = 0 - -2. Suppose 2*j = -4*d - 6, -d - 13*j + 12*j = 4. Calculate the common denominator of d/t*245/40 and 70/3.
48
Suppose -6*i + 8*i = -4*h + 18, 0 = 3*i + 2*h - 11. Find the common denominator of (i + 12/27)/((-3)/15) and -81/20.
180
Suppose 6 = 8*y - 18. Suppose 4*u - 23 = 5*f + 4, y*u - 22 = 2*f. What is the smallest common multiple of u and 201?
1608
Let b = 234723093/1316 + -178361. Calculate the common denominator of -69/98 and b.
9212
Let c = 39791/186 + -710307715/3320286. Let i = c - 14721393/624785. Let n = i + 192/7. What is the common denominator of n and 23/3?
15
Let h = -31 - -32. Let q be h + (3 + (-86)/(-33))*1. Let b = 1121/198 - q. Calculate the common denominator of -67/22 and b.
198
Let v = 119 + -27. Calculate the smallest common multiple of v/28 + -3 - 440/(-28) and 22.
176
Let n(b) = -1883*b**2 + 4*b + 11. Let p be n(-5). Let o be 6 + -3 - p/(-15695). Let m = -511663/94170 + o. Calculate the common denominator of 14/15 and m.
30
Let k = 65609617/20 - 3277548. Let m(l) = 1662*l - 386. Let u be m(2). Let d = u - k. Find the common denominator of -13/48 and d.
240
Suppose -v - 4 = -2*v. Let q = -122/1175 - -88369/2350. Find the common denominator of 2/v + 9/(-5) and q.
10
Let p = 1474 + -1339. Suppose -10 = -5*a, -9*l + 2*a = -8*l - 17. What is the smallest common multiple of p and l?
945
Suppose -19769 = 13*z + 7271. Let o = -41699/20 - z. What is the common denominator of o and -33/338?
3380
Let c(u) = -4*u**3 + 68*u**2 - 41*u + 705. Suppose 4*k = 3*k + 352. What is the smallest common multiple of k and c(17)?
352
Suppose 4 = -3*z + 6*i - i, 4*z - 5*i = -2. Find the common denominator of (-4)/16*z*291/6 and -1 - -2 - (-32)/6.
12
Let d = -687 - -695. Find the common denominator of -51/35 and (-3 - 69/(-21))*(-158)/d.
70
Find the common denominator of (30 + 22 + -48 + (-1396)/390)/(-4) and 41/35.
2730
Let v = 3 - -4. Suppose 0 = y + 2*f - 41, 20 = -4*y + f + 292. What is the least common multiple of y and v?
455
Let j = 30706 + -30388. What is the lowest common multiple of 636 and j?
636
What is the smallest common multiple of 2905 and -10*(-46)/460*3/(6/14110)?
49385
Let t = -53608 - -160832/3. Let a = -53779/552 - -783/8. What is the common denominator of t and a?
69
Suppose -1136 = -12*g - 248. What is the smallest common multiple of (1 + 3/6)*12 and g?
666
Let i(q) = 18 - q - 6 + 0 + 13. What is the lowest common multiple of i(9) and 12?
48
Let q(l) = -2*l - 3. Suppose -46*p + 44*p + 6 = 2*m, 0 = 2*p - 5*m - 6. Calculate the smallest common multiple of q(-6) and p.
9
Let w be (2/(1 + -2))/1. Let u(z) = 5*z**2 - 2*z - 2. What is the lowest common multiple of u(w) and 12/((-2)/2)*(-1141)/978?
154
Suppose 0*k = 2*k - 253 + 233. What is the least common multiple of k and 316?
1580
Suppose 167*j - 93070 - 17651 = 0. What is the least common multiple of j and 99?
21879
Let t(a) = -2*a**2 + 10*a - 14. Let y be t(3). Let b(j) = 27*j**2 + 18*j + 4. What is the smallest common multiple of b(y) and 16?
304
Calculate the common denominator of 32/(-104) + (-13032)/15444 and -97/954.
10494
Suppose 1959*t = 1947*t + 120. What is the lowest common multiple of 5 and t?
10
Calculate the smallest common multiple of 1286 and (-4)/38 + (2522/(-38))/(-13).
6430
Suppose 0 = -3*p - 1 - 11, -9 = -j + p. Calculate the common denominator of ((-102)/(-135))/((-8)/(-10)) and (-1180)/(-72)*(-1)/j.
18
Suppose -4 = -3*a - 1, 4*h = -3*a - 5. What is the common denominator of h - 97*3/(-30) and -16/9?
90
Calculate the common denominator of ((-100)/(-8))/((-5472)/(-60)) and -151/912.
912
Suppose -3*p - 6370 = 2*m, 2*m + 6608 - 218 = 2*p. Let x = -19075/6 - m. Calculate the common denominator of x and -22/59.
354
Let d = 1/13445 + 236629/40335. What is the common denominator of d and 264/(-36)*((-11)/16)/(-1)?
120
Let y(f) = 11*f**2 - 13*f. Let m be 10*2/15*-3. Calculate the smallest common multiple of 1*(-45)/(-21) - 4/28 and y(m).
228
Let m(f) = f + 248. Calculate the least common multiple of 66 and m(-50).
198
Let i = -280780722659/1974 - -142239481. Let p be (6/(-4))/(34263/6480). Let y = p - i. Calculate the common denominator of y and -29/10.
70
Let r = 1196323/810 + -1477. Find the common denominator of r and 3/20.
1620
Let j(l) = -3*l - 6*l + 5 + 3*l + 8*l. Let o be j(2). Calculate the common denominator of 47/10 and (69/o)/((-16)/12).
20
Let k(c) = 4*c + 2. Suppose 8*b - 6*b - 1210 = 0. What is the smallest common multiple of b/25 + (-4)/20 and k(3)?
168
Suppose -16*g = -12*g - 68. Let r = g + -13. Suppose 4*o = a - 6, -2*a - 2*a = r*o - 24. What is the lowest common multiple of 24 and a?
24
Let r = 299 + -294. Suppose 3*z = 5*m - 39 + 57, r*z = -5*m + 70. What is the common denominator of 8/10*86/8 and z?
5
Let v be (-1)/(-6) - 956/48*-2. Let u = v + -38. Calculate the least common multiple of u and 20.
20
Let z(j) = j**2 - 44*j + 669. Calculate the smallest common multiple of 1386 and z(20).
4158
What is the common denominator of -10 + 24/84 + 2221929/228060 and -43/14?
25340
Let k = -8453/4 - -2101. Suppose -8*r - 20 = -3*r. What is the common denominator of k and (-98)/32 - (r - 2)/3?
16
Suppose 4*b + 12 + 708 = 0. What is the common denominator of 115/126 and -33*(-4)/b + -3?
630
Suppose -51440 - 44539 - 28821 = -520*s. What is the least common multiple of 2208 and s?
11040
What is the common denominator of -57/425 and ((-1386)/110)/(100*2)*4?
4250
Suppose -i - 3*x = -579, 1948*x - 1949*x - 1 = 0. What is the lowest common multiple of i and 1095?
212430
Suppose 38 - 28 = -5*j, 0 = -4*l + 4*j + 48. What is the lowest common multiple of l and 5265?
10530
Let f be (3/18)/((-3)/67371). Let n = 2030 - 5756. Let u = f - n. What is the common denominator of u and 43/21?
42
Suppose 0 = 2*k + 5*t - 183, 385 = -0*k + 5*k - 2*t. Let l = k - 59. What is the lowest common multiple of l and ((-8)/6)/((-1)/21)?
140
Let t = -2771843/625230 + -1/62523. What is the common denominator of t and 22/777?
7770
Let q = 29896 + -29864. Calculate the least common multiple of 1356 and q.
10848
Let z = -9/3163 + -325519/94890. Let a = -226499/30 + 7549. Calculate the common denominator of a and z.
30
Suppose -3*f - 6 + 3 = 2*q, 0 = -2*q - 6. Let m be (332/(-415))/((-1)/(20/2)). Calculate the least common multiple of f and 184*(-11)/(-704) - (-1)/m.
3
Suppose 754 + 196 = 5*b. Let k(l) = 2*l**3 - 20*l**2 + 24*l + 66. Calculate the lowest common multiple of k(8) and b.
190
Suppose -5*a + 6 = -369. What is the smallest common multiple of a and (2 - 0)/2 - (-1074 - -3)/9?
600
Let x be (-1 - -11)*(-6)/10. Let f = -2810 + 33755/12. What is the common denominator of (-2 - 77/10) + (x - -8) and f?
60
Let j = 410 + -415. Calculate the common denominator of (-381)/20*j/9 and -95/96.
96
Let r = -2341/4 - -20923/36. Calculate the common denominator of r and -91/160.
1440
Suppose -4*a - 99 = -c + 3, -3*a - 104 = -c. What is the common denominator of (3 - c/32)*1 and 561/(-252) + (-150)/175?
48
Let g(r) = r**3 - 4*r**2 - 27*r + 126. What