0. What is the common denominator of 11145/1650 + (-7)/f and -61/55?
110
Suppose 0 = 5*f - 4*y + 17, 5*f - 4*y + 15 = y. Calculate the lowest common multiple of 38 and 35/f*(-100)/35.
380
Let k = 4 - -33. Suppose -5*q + k = -28. Suppose -2*h = 14*h - 53*h + 17*h + 20. What is the smallest common multiple of h and q?
13
Let m = -25899/8 + 3243. Find the common denominator of m and (2/4 - (-1645)/(-197)) + 8.
1576
Let r = -174827/12 + 14581. Calculate the common denominator of r and -19/203.
2436
Suppose -3*f - 679 = n + 123, 0 = 3*f - 5*n + 778. Let v = -257 - f. Calculate the smallest common multiple of v and 12.
36
Let q = -2622487 - -13383677/5. Let i = q - 545291/10. Let r = 1129/4 + i. Find the common denominator of -95/34 and r.
340
Suppose 7*x - 16 = -x. Suppose -4*p = -x*k - 0 - 8, 2*p - 4*k + 8 = 0. Calculate the smallest common multiple of 11 and p.
44
Suppose -11*v - 6 = -8*v. Let q = v + -4. Let d = q - -7. Calculate the lowest common multiple of d and 1.
1
Suppose 19*x - 15 = 16*x. Suppose -63 + 303 = -x*q. Calculate the common denominator of (-2)/(-8) + (-39)/q and -19/8.
16
Suppose 416*x - 413*x = -l + 13, -5 = -5*l. What is the lowest common multiple of 508 and x?
508
What is the common denominator of 49/150 and 4012/(-816) - (6 - (3 - 2))?
300
Suppose -8*k = -89 + 73. Suppose -k*q + 3*c = 3*q - 327, 67 = q + c. Calculate the least common multiple of 16 and q.
528
Let n(r) = -r**3 - r**2 - r. Let t(a) = -a**2 - 8*a - 1. Let i be t(-8). Let k = -36 + 43. What is the least common multiple of k and n(i)?
7
Calculate the common denominator of (-120708)/111132 - (1 - (-19)/(-18)) and (-1)/(-18)*(1 - -66).
882
Suppose -126 = -2*j - 2*g - 2*g, -4*g = -2*j + 134. Calculate the lowest common multiple of j and (-1)/(1 + 12/(-10)).
65
Let r be 196/2 + (-22 - -25). Let b = r - 101. Suppose -4*j - 4*l + 8*l + 144 = b, 5*l = -5*j + 160. Calculate the smallest common multiple of j and 7.
238
Find the common denominator of (-32)/6 + (-9)/(-27) - (-472)/40 and -5/298.
1490
Let w = -6438877/96 - -67073. What is the common denominator of w and 101/5200?
31200
Suppose -4*x + 0*x - 220 = 0. Find the common denominator of (-3)/18 + (-1688)/6330 and x/24 - (-2)/6.
120
Let q be (-6)/(-9) - 1148/(-6). Let l = -683 + 797. Let t = q - l. Calculate the lowest common multiple of 4 and t.
156
Let g = 2297 - 874. Let w = g + -19909/14. Calculate the common denominator of 83/18 and w.
126
Let p = -66/59 - -115/472. What is the common denominator of p and -35/366?
1464
Let k = 2/24765 - 1956499/792480. What is the common denominator of -151/4080 and k?
8160
Suppose 7*o + 26 = 3*o - 3*t, -2*t + 6 = -2*o. What is the common denominator of 128/120 - o/4 and 101/70?
420
Let o = -3421751 - -882813947/258. Let h be 12/(-1548)*2/(-1). Let n = o + h. Find the common denominator of n and -1.
2
Let o = -7879/932 + 26/699. Find the common denominator of o and ((-4)/6)/(28/(-51)).
84
Let b = -19 - -19. Calculate the least common multiple of 36 and 0 + 4 + 3 + 1 + b.
72
Let p = -52 - 412. What is the common denominator of 18/10*p/(-672) and -9/40?
280
Let f(s) = 3*s - 50. Let k be f(16). What is the lowest common multiple of 68 and ((-1)/k + 1)/((-540)/(-1440))?
68
Let l = -5302167/70 - -75747. What is the common denominator of l and 180/(-16)*(-40)/24?
140
Suppose -4*f = -19*f. Let s be (-307688)/(-30) - ((-9)/(-3) - f). Let k = -10259 + s. What is the common denominator of 7/6 and k?
30
Let p = 101 + 799. Find the common denominator of -25/2 and (-429)/p*2 - 0.
150
Suppose -41*o + 8282 + 7093 = 0. What is the lowest common multiple of o and 55?
4125
Let v be ((-39)/(-6) - 5)/(2/(-2247)). Let d = 167 - 1843. Let r = d - v. What is the common denominator of -139/90 and r?
180
Let a = -352337/15 - -23491. Find the common denominator of 127/950 and a.
2850
Let p = -11777/615 - -1252213/72570. Let j = p + -1/177. Calculate the common denominator of j and (-15)/(-2)*(-17)/9.
30
Let q(y) = 3*y**2 + 209*y + 3239. Let s = 3 + -1. Suppose 4 = u - s. What is the lowest common multiple of u and q(-23)?
114
Let s = 65 + -46. Let q = 37 + s. Suppose -3*j = -4 - q. Find the common denominator of -119/10 and j.
10
Suppose -2*p - 4*k = 8 - 28, -45 = -3*p - k. Let h = -1/578 - -2321/5202. What is the common denominator of h and (-4 - 94/(-24))/(p/(-306))?
288
Let b be 4/93864*(-4)/1. Let u = b - -1091189/117330. Let g = 9/425 + 29669/3825. Calculate the common denominator of g and u.
90
Suppose 155*k - 1189071 + 214238 = 77307. What is the least common multiple of k and 14?
47516
Let h = -1449 - -4273/3. Find the common denominator of h and 2 + ((-33)/(-495))/(1/37).
15
Let v = 219839/44805 - 726/145. Calculate the common denominator of 23/51 and v.
5253
What is the common denominator of ((-4)/(-20))/((-76)/(-551)) and 6/(-80)*(-9 - (-229)/33)?
220
Let i = 104552/149823 - 117/179. What is the common denominator of i and -121/744?
6696
Let f = 298121/82616 - 17/449. Let a = 7/23 + f. Find the common denominator of a and -115/112.
112
Suppose 8619 = -37*h - 5774. Let x = h + 400. What is the least common multiple of x and 58?
638
Suppose -603*k + 604*k = 144. Calculate the lowest common multiple of k and 18.
144
Find the common denominator of -58/4059 and (-1764)/(-147) + 88184/(-7380).
20295
Let c be -2 + (-98)/(-6) + (-32)/96. Suppose 0 = c*h - 20 - 190. Suppose u - 26 = g, u - 5*g + 17 = 3*u. What is the lowest common multiple of u and h?
105
What is the common denominator of 28/(-21) - (-7 + 53336/9312) and -1/30?
5820
Let s(a) = -214*a + 1287. What is the lowest common multiple of 39 and s(0)?
1287
Let z = -34 - -29. Let y = z - 9. Calculate the common denominator of (-50)/(-372) - (2 + y/6) and -49/4.
124
What is the least common multiple of (-5 + 4)/5 - 3416/(-280) and 426?
852
Let z = 381 - 279. Let g = 126 - z. Calculate the least common multiple of g and 39.
312
Let v(y) = 2*y + 42. Let n = 63 - 58. Suppose -4*p + 17 = -n*p. Find the common denominator of 20 and v(p).
1
Let b = -64 - 49. Let c = b - -131. What is the least common multiple of (-2 - (-35)/15)*c/1 and 6?
6
Let a(m) = -m**3 - 8*m**2 - m - 10. Let c be a(-8). Suppose -k + 42 = 5*k. What is the lowest common multiple of c - -1 - -4 - -7 and k?
70
Let c be (2/5)/(66/(-19415)). Let y = -26573/228 - c. Find the common denominator of y and 131/190.
380
Suppose 3*k - 1766 = 5*a, -5*k + 4*k + 602 = 5*a. Let u = 594 - k. What is the lowest common multiple of 4 and u?
4
Let f = -4657 + 4822. What is the smallest common multiple of 15 and f?
165
Let q(d) = d**2 - 15*d - 20. Let j be q(14). Let a = j + 35. What is the common denominator of -103/20 and 3 + a + 2444/(-650)?
100
Suppose 0 = -3*l, -l - 2*l = -5*j + 15. Suppose 4*o + j*z = -0*z + 8, -4*o + 8 = -2*z. What is the least common multiple of o and 204?
204
Find the common denominator of 2/12*13433/(-6650) and -1/75.
300
Let b = -4939657/14 + 352589. Let n = b + 243. Find the common denominator of -2 - ((-98)/(-24) - -1) and n.
84
What is the smallest common multiple of ((-50)/15)/(11/(-66)) and 8/(-26)*(-13)/2?
20
Let a = 3/1400 - 160653/1400. Let l = a + 1034/9. Find the common denominator of l and (-24)/(-3 - 1) + 496/(-60).
180
Let d = -390417/40 + 9762. Find the common denominator of d and 41/12.
120
Suppose 4*j + 3*a - 175 = 0, -5*j - 37*a = -35*a - 210. What is the lowest common multiple of 72 and j?
360
Let o = -18 + 58. Suppose 0 = -254*b + 225*b + 696. Calculate the smallest common multiple of o and b.
120
Let o(y) = 183*y**2 + 15*y. What is the smallest common multiple of o(-1) and 20?
840
Let i(x) = x + 3. Let z(b) = -b + 2. Let m(w) = -6*i(w) + 7*z(w). What is the least common multiple of m(-1) and 58?
522
Let w = -1787/184 + 85/184. Find the common denominator of w and (-54)/160 - (-2)/5.
16
Let j(f) = 2*f**3 + 2*f**2 + 3*f + 2. Let p be j(-1). What is the lowest common multiple of (4 - p - 7)*-24 and (1 + 8)*(4 - 3)?
144
Suppose -8*f + 7 + 25 = 0. Calculate the common denominator of 73/21 and f/6*3/66*-9.
231
Let c = -7226 - -65060/9. Let t = -26873/27 + 995. Calculate the common denominator of c and t.
27
Let u be (1988/30)/2 + 6/(-45). Suppose -44*x + 45*x = u. What is the lowest common multiple of 5 and x?
165
Let y be 2/5 + ((-135)/25 - 0). Let n be (2