Calculate the common denominator of -19/1194 and k.
3582
What is the smallest common multiple of 440 and (-6)/(-4) - 1 - (-1309)/22?
1320
Let f = -7199/13 + 556. Find the common denominator of f and -1/416.
416
Suppose -56*m = -21*m - 350. Calculate the smallest common multiple of m and 654.
3270
Let h = -271 - -199. Find the common denominator of (-58)/(-33) - (-96)/h and 29/186.
2046
Suppose -9*d = -8*d - 4*a + 4, 0 = 5*d - 3*a - 82. What is the lowest common multiple of d and 259?
5180
Calculate the common denominator of (5233/(-266) - -13) + 7 and 35/2.
266
Suppose -h = -3*q - 615, -3*q - 3*h = 2*q + 1025. Calculate the common denominator of (-268)/(-40) - 1/1 and (-108)/270*q/(-12).
30
Suppose -3*y = -0*y - v + 518, 0 = y - 2*v + 176. Let q = y + 102. What is the common denominator of q/4 + (-4)/(-12) and 11/30?
30
Let o = 27/274 + -6197/15618. Find the common denominator of 107/2826 and o.
53694
Let t = -7/17 + 917/204. Let y be ((-8)/6)/((-89)/87 + 1). Find the common denominator of t and (-74)/6*1/y*3.
348
Let j(i) = 2*i**2 - 6*i + 8. Let x = 31 + -29. Let q be j(x). Find the common denominator of (6 - 117/18)/(q*1) and -74/15.
120
Let c = 9015 + -216437/24. What is the common denominator of c and (8/(-36) - (-4)/(-18))*472/(-128)?
72
Let z(y) = -23*y - 141. Let r be z(-6). Calculate the common denominator of 580/1375*(-10)/12*r and 65/33.
165
Suppose -3*p = -p - 66. Let x be (2/4)/(5/60) - 3. What is the lowest common multiple of p and (x/2)/((7/(-6))/(-7))?
99
What is the common denominator of 34*(-8)/(-748) - 2564/9350 and 56/55?
4675
Suppose -28*d - 14920 = -6*d - 42750. Calculate the smallest common multiple of d and 440.
10120
Let k be 7641/3819 + (-2)/1. Let b = k + -29285/7638. Calculate the common denominator of (5/6)/((-2580)/(-2365)*(-33)/(-6)) and b.
36
Find the common denominator of 1458/(-608) - 1120/(-5320) and -57/16310.
130480
Let d = 54 + -50. Let j be (-5)/((-10)/(-18)) + 1. Let y(g) = 2*g**3 + 18*g**2 + 13*g + 14. Calculate the least common multiple of y(j) and d.
76
Suppose 3*k = -4*z + 7*k + 11512, 0 = -4*z - k + 11552. What is the lowest common multiple of z and 16?
23088
Let c(n) = 2*n**2 + n - 296. What is the smallest common multiple of 2112 and c(12)?
2112
Let i = 2/31825 + -757451/254600. Find the common denominator of (0 + -63 + 4)*3/72 and i.
120
Suppose 77*d + 524 = 79*d. Let m = -7106/27 + d. Find the common denominator of -149/48 and m.
432
Suppose 5*v + 2*r = 56, 0 = 2*v - 0*r - 3*r - 30. Let u be (-1680)/28 + (1 - 5)*1. Calculate the least common multiple of v and u/(-7) + 12/(-5 - 79).
36
Let q = 31972 - 1214849/38. What is the common denominator of q and -4 - -2 - 36/16?
76
Let k(t) = t**3 + 10*t**2 - 68*t - 666. What is the least common multiple of k(-10) and 5348?
5348
What is the smallest common multiple of 416 and -4*((-41003)/524 + 1/4)?
1248
Let i = 2104565521/1260 - 1670290. Find the common denominator of 71/224 and i.
10080
Let y = 29191/300 + -292/3. Find the common denominator of y and ((-80)/(-15))/(3*(-40)/(-44)).
900
Let a = -52 - -92. Let v = a - 35. Suppose 135 = -x + 6*x - 2*f, 0 = -5*x - v*f + 135. What is the smallest common multiple of 6 and x?
54
Let w be (-273)/14*2/(-3). Calculate the common denominator of 37/16 and 2331/20930 + 1/(w/2).
1840
Find the common denominator of (-186)/16 + (-9 - -13 - -3) and -99/1024.
1024
Let j be (-2)/8 + (-114690)/(-32). Let z = -3587 + j. What is the common denominator of (1/28)/(6/(-612)) and z?
112
Let x(k) = -k**3 + 3*k**2 - k - 1. Let d be x(3). Find the common denominator of 63/88 and d/(-4) + (-54)/10.
440
Let g(i) = 9*i - 1. Suppose 0 = -s + 4*h - 47, -2493*s + 2498*s - 2*h + 1 = 0. Calculate the smallest common multiple of g(4) and s.
35
Suppose w = -5*c - 903492, -3*c - 3*w = -8*c - 903484. Let u = c - -24936197/138. Calculate the common denominator of 127/6 and u.
138
Let k = -2282555/84 + 27174. What is the common denominator of 143/36 and k?
252
Let c = -2936 - -3057. What is the smallest common multiple of 4 and c?
484
Let p = 13 + -18. Let d(f) = f**2 - 12*f - 29. Let k be d(14). What is the common denominator of -71/34 and 15/(-2)*(p/20)/k?
136
Let x = 257/630 - -46/35. Let g = x + -374/63. Calculate the common denominator of -3/14 and g.
14
Let x = -198871 - -140799. What is the common denominator of 41/10 and x/5760 + 7 - (-3)/1?
720
Let z(k) = 2*k**2 + 101*k + 930. What is the smallest common multiple of z(-40) and 312?
4680
Suppose 8*h - 7*h = 40. Let q = h + -36. Suppose 12*m = 75 + 117. Calculate the least common multiple of q and m.
16
Let m = 2863635/16 - 179910. Let v = -935 - m. Calculate the common denominator of 21/32 and v.
32
Calculate the least common multiple of (2518/6)/(26/624) and 7.
70504
Let y = 6239 + -6229. Suppose -2*t - 11 = -47. Suppose -3*s = -3 - t. Calculate the smallest common multiple of s and y.
70
Calculate the lowest common multiple of 20*1020/272*2/15 and 291.
2910
Let v be 68734/(-9) + -4*1. Let d = -11924 - -19573. Let q = d + v. What is the common denominator of q and -1/19?
171
Let z = -1067011529/24 - -44471524. Let i = -12705 + z. Find the common denominator of i and 119/72.
72
Suppose 38*n = 8000 + 740. What is the smallest common multiple of n and 2?
230
Suppose -184*w - 196 = -185*w. Let u = w + -186. What is the least common multiple of 40 and u?
40
Suppose 3*z - 4*u - 664 = 0, 125*u - 440 = -2*z + 129*u. Calculate the least common multiple of z and 280.
1120
Let f = 43019368/11 - 854670407/220. Let s be 5 - 2*77961/(-6). Let r = s - f. Calculate the common denominator of r and -35/16.
80
Let b = 1327 - 10603/8. Let y = 181 + -180. What is the common denominator of y/39*45/(-6) and b?
104
What is the common denominator of ((-18310)/(-636))/5 - (13 - 7) and -31/1378?
4134
Let h = -5 - -33. Suppose -4*c = -2*w + 98, -4*c + 3*w - 174 + 71 = 0. Let k = h + c. What is the least common multiple of k and 11?
66
Let f = -7855 - -110025/14. Calculate the common denominator of f and -33 - (-1372)/42 - 514/(-192).
224
Let v(t) = -2*t**2 + 2*t + 2. Let x be v(1). Suppose x*c = 4*m - 53 - 39, -4*m - c + 80 = 0. Calculate the smallest common multiple of m and 35.
105
Let w = 1/632 + -161/1896. Let l be 8814/6412 - (2 + -2). Let k = l - 4/229. What is the common denominator of k and w?
84
Suppose -4*r = -0*r - 40. Calculate the lowest common multiple of ((-180)/65 - -2)*-13 and r.
10
Let f(w) = 2*w**2 + 12*w + 10. Let i be 0/(-2) - (-5 + 3) - 7. Let c be f(i). Let q(t) = t**2 - t - 30. Calculate the common denominator of q(c) and 89/16.
16
Suppose 3*q - 233 = 8*q + 2*b, -q + 5*b = 25. Find the common denominator of (-126)/4 - 9/(q/20) and -125/182.
182
Let c(x) = x**3 + 13*x**2 - 7*x + 9. Let z be c(-12). Let o = -231 + z. Calculate the smallest common multiple of o and 14.
42
Let n(h) = -21*h**3 + 4*h**2 + 59*h + 174. What is the least common multiple of 16 and n(-3)?
1200
What is the common denominator of 109/30 and (45/405 + 14261/(-1530) - -4) + 5?
510
Let z(a) = -12*a + 234. Let r(f) = -2*f**3 - 7*f**2 + 8*f - 8. What is the smallest common multiple of r(-5) and z(12)?
270
Suppose 0 = 43*v + 1342 + 3947. What is the smallest common multiple of 229 and ((-2)/6)/((v/18)/41)?
458
Suppose 4*x = 5*r + 138, 3*x - 22*r = -19*r + 105. What is the common denominator of 81/8 and (-456)/40 + 11 - x/(-30)?
24
What is the common denominator of 47/18 and (2 - (8 - (-106312)/(-17720)))/(9/(-2115))?
7974
Suppose 0 = -w + 29 - 9. Suppose -10*k + 289 = -191. Calculate the smallest common multiple of k and w.
240
Suppose 0 = 12*p - 4*p - 22448. Suppose 0 = -15*l + 1154 + p. What is the smallest common multiple of l and 48?
528
Let v = 11/25 + -851/400. Calculate the common denominator of -3 + -1 + 805/14 + -5 and v.
16
What is the common denominator of -73/2124 and 10/((-560)/(-154))*11/(-354)?
4248
Let p be 20/15*(-3 - 132/(-8)). What is the common denominator of -1/7 and (-488)/48*p/480?
1120
Suppose -1639 = 4*l - 5*f, f + 1669 = -2*l - 2*l. What is the common denominator of -83/152 and l/(-228) + (4 - 6)?
456
Let h = 38932549/34392 - 903/2866. Let u = h - 1138. Calculate the common denominator of u and 2136/16*(-1)/(-36).
24
Suppose 2*a = -4*o + o + 62, 2*o + 2*a = 42. Let u(g) = 1624*g + 12. Calculate the