00.
400
What is the common denominator of ((-92)/792)/((-2)/(-4)) and (-3597)/99 + 49 - 1*(-5 + -1)?
99
Suppose 249 = 17*p - 23. Calculate the lowest common multiple of p and (6/8)/((-15)/(-48))*5.
48
Suppose -5*x + 3978 = y - 6*x, 5*y - 19890 = 2*x. Calculate the least common multiple of 14 and y.
27846
Suppose 61 = p + 5*w + 22, -2*p + 2*w = -150. What is the smallest common multiple of p and 299?
897
What is the common denominator of 27665/(-9350) - (-20)/8 and 14/(-5)*24/(-272)?
85
Let y = 5355 - 42919/8. Calculate the common denominator of y and -43/18.
72
Calculate the common denominator of ((-765)/2244)/((-129)/(-712)) - -2 and -113/110.
4730
Let i = -65619/20 - -3277. What is the common denominator of i and 701/(-88) + 3 - -4?
440
Suppose -4*b = 102*b - 0*b - 1908. Calculate the smallest common multiple of b and 146.
1314
What is the least common multiple of 1089 and -1*(286/(-104))/((-2)/(-8) - 0)?
1089
Let c(u) = 2*u**3 + 3*u**2 + 7*u - 2. Let n be c(3). What is the common denominator of 51/5 and n/320*2/(-5)?
40
Suppose -24*w + 21*w - d = -326, -550 = -5*w + 5*d. Suppose -206 - w = -35*n. Calculate the smallest common multiple of 145 and n.
1305
Suppose q = 119 + 394. Let b = -12228 - -256843/21. What is the common denominator of b and 1387/q + 1/(-9)?
189
Suppose 1596*b - 1224 = 1579*b. What is the lowest common multiple of b and 81?
648
Let f = 417 + -861/2. Let g = 6864/17 + -1070189/2652. Find the common denominator of g and f.
156
Let s be (-235 - 3) + -4*1. Let c = -1115/3 + 367. Calculate the common denominator of c and (-4)/(3 - -9)*s/(-20).
30
Let r = 4417 - 2099. What is the smallest common multiple of 16 and r?
18544
Calculate the common denominator of (8/12)/(142784/11684) and 125/1746.
6984
Let g = 268980429/10076 + -293646/11. Calculate the common denominator of -119/24 and g.
5496
Let q = 105081 + -175797912/1673. Let c = -4/239 - q. Calculate the common denominator of 113/114 and c.
798
Let t = 6763 + -142049/21. Find the common denominator of -41/489 and t.
3423
Let k = 116123905/5946611614 - -2/1843339. What is the common denominator of 97/12 and k?
19356
Let b be -3 + -3 + (-24)/(-4). Suppose b = -2*n - 1 + 17. Suppose 3*p - 37 + 13 = -3*r, p + 2*r - 10 = 0. What is the least common multiple of p and n?
24
Suppose 0 = -5*s + 3*n + 4602, -n = s - 5*n - 934. Find the common denominator of 3/2 and -5 + s/1380 + 2 + 2.
230
Let d(x) = x**2 - 8*x + 14. Let v be d(4). What is the least common multiple of ((-6)/15)/(-2*v/(-10)) and 11?
11
Let j(o) = -45*o. Let q be j(2). Let w be (36/q)/(1/(-5)). Suppose p - 2*p = -3*x + 62, -p = w. Calculate the lowest common multiple of 22 and x.
220
Suppose -998 + 18847 = 15*n - c, -3*n + 3575 = 5*c. Calculate the least common multiple of 1071 and n.
10710
Suppose -2425 = -5*t - 5*f, -35*f - 969 = -2*t - 38*f. What is the smallest common multiple of t and 8?
1944
Suppose -8*i = -7*i. Suppose i = 3*r + 2*a + 4 - 66, a = -r + 22. What is the smallest common multiple of r and 84?
252
Suppose 5045 - 1853 = 19*m. Calculate the common denominator of (-2 - m/9) + (2 - 4) and 35/24.
24
Suppose -i + 10 = -3*w, 0 = 3*i + 4*w - 20 - 10. Suppose -270*l + 268*l - 20 = -4*m, 3*m + 4*l = -7. What is the smallest common multiple of m and i?
30
Let o(b) = b**2 - 17*b + 46. Let w be o(14). Suppose -n + 2*m + 62 = 0, -4*n - w + 300 = 4*m. What is the least common multiple of n and 40?
280
Suppose -17*n = -32215 + 4930. What is the lowest common multiple of n and 4?
6420
Suppose -8*p - 21794 - 18014 = 0. Let n = 59753/12 + p. Calculate the common denominator of 470/252 + 4/(-18) and n.
84
Suppose -124*z + 127*z + u = 1029, -u - 1365 = -4*z. What is the lowest common multiple of z and 133?
2394
Let a = -3/16678 - 704614/175119. Calculate the common denominator of a and -1/105.
210
Let z(l) be the first derivative of -2*l**3 + 3*l**2 + 6*l + 19. Let f be z(-1). Let u = -2 - f. What is the lowest common multiple of u and 12?
12
Let q = -59 - -53. Let f(x) = x**2 + 12*x + 29. What is the least common multiple of 1 + -1 + q/(-2 - 0) and f(-10)?
9
Let d = -2167 + 2581. What is the smallest common multiple of d and 46?
414
Suppose -2*w + 5*u = -22 - 0, 4*w + 5*u - 74 = 0. Calculate the lowest common multiple of 4116 and w.
16464
Let g(f) = -67*f**2 - 6*f - 7. Let p be g(-3). Calculate the common denominator of (-786)/8*(8 + p/72) and 23/24.
24
Suppose -107*r + 112*r = -21 + 101. Let v(n) be the second derivative of 2*n**3/3 - 2*n. What is the smallest common multiple of v(3) and r?
48
Suppose -197 = 5*w - 3*v, -121 = -w + 4*w + v. Let a be ((-670)/15)/(w/10106). Let f = -11279 + a. Find the common denominator of f and -29/20.
60
Let w = 37243/180 + -1886/9. Let o be ((-485)/(-15))/((-76)/6). Let m = o + 2439/1216. Find the common denominator of m and w.
320
What is the common denominator of (-1889)/(-440) - (3 - (3 + -4)) and 197/330?
1320
Let r = 209 + -149. Suppose 3*a - 24 - r = 0. Calculate the smallest common multiple of a and (-9)/(-132) + (-9135)/(-1540).
84
Let k = -766 + 69698/91. What is the common denominator of k and -29/735?
9555
Suppose 5*y = 3*b + 14, -b + y = -y + 4. Let i = 91 - 73. Let p = i + b. Calculate the least common multiple of 14 and p.
70
Let c be -97*2/22 - 10/55. Calculate the common denominator of (-165)/(-2)*(-2)/6 and (c/(-54))/((-10)/166).
30
Let b = -6252 - -6285. What is the smallest common multiple of b and 567?
6237
Suppose -50*q - 2*c + 8456 = -49*q, 4*q - 33842 = -2*c. Calculate the smallest common multiple of 2 and q.
8462
Suppose 8 = 4*j - 5*w - 5, 5*j - 4*w = 14. Suppose -j*r - 183 = -4*r - z, -485 = -5*r + 3*z. What is the least common multiple of r and 5?
470
What is the common denominator of 196/51*(-20)/(-240) and -46/87?
4437
Find the common denominator of -71/10 and ((-118454)/(-13440) - -4) + -13.
960
Let f(m) = 5*m - 5. Let l(k) = -k. Let s(h) = f(h) + 2*l(h). Let q(x) = -2673*x + 8. Calculate the smallest common multiple of q(0) and s(4).
56
Let r(v) = -20*v - 16. Let y be r(-8). Let c be 2 - 4382740/y - -1. Let d = -30429 - c. Find the common denominator of -87/20 and d.
180
Let k be (3/(-453))/((-6)/(-24)). Let h = k + -3461/453. Let p = h - -3. Find the common denominator of 49 and p.
3
Let d be (1 - 0) + (0 - -3). Suppose o - 1 - 5 = d*l, -5*l - 6 = -o. Calculate the least common multiple of o and 3 - -1 - (18 - 62 - 24).
72
Let q be 274/(((-4)/9)/(8/12)). Let w = q - -436. What is the lowest common multiple of 30 and w?
150
What is the smallest common multiple of 11/2079*9*7*(89 - -1) and 508?
7620
Let q(d) = d**3 + 3*d**2 - 3*d - 3. Suppose -5*t = -10*t. Suppose 3*w + t*p - 40 = 5*p, 2*p - 77 = -5*w. Calculate the least common multiple of q(-3) and w.
30
Let q = -3416/5 + 54921/80. Let g(i) = -3*i**2 + 24*i - 18. Let k be g(7). Find the common denominator of k*(3 + (-412)/48) and q.
16
Suppose 4*q - 5*g - 32 = 0, -q - 16 = -3*q - 2*g. Let u = -976 - -1140. Calculate the lowest common multiple of q and u.
328
Let p(x) = -x**3 + 9*x**2 - 4*x + 57. What is the least common multiple of 3/(4 - -5)*9 and p(9)?
21
Let v(k) = k + 14. Let c be v(-8). Suppose 0 = 2*s + s - 6, -h + c = s. Calculate the smallest common multiple of -3 + 4 + 17 + h and 2.
22
Suppose -5*j + 0*j = -3*f - 31, 3 = -f - 2*j. Find the common denominator of -39/64 and 30/(-44)*(f + 79/12).
704
Let m(g) = -2*g**3 - 28*g**2 + 12*g - 58. What is the lowest common multiple of 22 and m(-15)?
2332
Let s = 43 + -36. Let p = 7/76 - -1829/152. Calculate the common denominator of p and s/(21/(-17))*6/98.
392
Let v = -136 - -140. What is the common denominator of (1704/(-84))/((-48)/v) and -151/12?
84
What is the common denominator of ((-4224)/1100)/((-6)/20) + -5 and ((-46)/102)/(1/3)?
85
Let g = -22096 + 154628/7. Let w be ((-2 + 3)/(-1))/(-1). Find the common denominator of g and 13*(w - (-9)/(-8)).
56
What is the common denominator of 7/270 and -2723*13/1872 + 19?
2160
Calculate the common denominator of (14 - (-55087)/(-3968))*(-38)/(-3) and -87/14.
448
Let c = -7978 + 8104. Calculate the smallest common multiple of 1314 and c.
9198
Suppose 4*w = -8, -3*v = -2*v + w - 601. Let y = v + -589. Let k = 12 + -1. Calculate the least common multiple of y and k.
154
Let h = 26 - 21. Let f(c) = 12*c - 1