e 4*q = 2*m + 658, 3*m + 2*q = -436 - 551. Let w = -273 - m. What is the smallest common multiple of 28 and w?
56
Suppose 2370*a - 589 = 2351*a. Let r(f) = -f**3 - f**2 + 7. What is the smallest common multiple of r(0) and a?
217
Let d be ((-2)/(-210)*7)/((-3112)/(-100)). Let n = d + -49423/9336. What is the common denominator of -9/16 and n?
48
Suppose 0 = 43*s - 62*s + 38. Suppose -4*h - 81 = -5*g, -s*g = g - h - 43. Find the common denominator of g and (-2)/6 - (-74)/(-4).
6
Let w be (148 + 2)*(10 + 104/(-12)). Calculate the common denominator of (10/60)/(w/(-1044)) and 33/80.
400
Let a = 20767/25578 + -578/609. What is the common denominator of a and -5/3822?
11466
Suppose 5*m - 25 = -v, -2*m + 3 = -v - 0. Suppose -24 = -x + 5*w, x + 4*x + v*w - 30 = 0. What is the smallest common multiple of x and 120?
360
Let y(g) = 8903*g**2 - 244*g - 243. Calculate the smallest common multiple of y(-1) and 6.
8904
Let v(f) = f**3 + 15*f**2 + 21*f + 38. Let u be v(-14). Calculate the lowest common multiple of 3*(-2)/(-4 + 2) and (-2)/(3*4/u).
30
Let w be (-16)/(-174)*9/600*66. Let s = w + 39477/20300. What is the common denominator of 107/36 and s?
252
Let b = -836 + 8401/10. Calculate the common denominator of b and (-1)/(2/(-36))*(-55)/(-242).
110
Let l = 1504651/99 - 15199. Let y = -3171/4 - -85385/108. Find the common denominator of l and y.
297
Suppose 2847 = 436*g - 641. What is the least common multiple of 3184 and g?
3184
Let h = -860/3 + 16993/60. Let g = -439727/30 - -14658. What is the common denominator of h and g?
60
Let h = 122 - 33. Calculate the lowest common multiple of h and 3/(-2)*32/240*-55.
979
Let f(w) = w**3 + 6*w**2 - 142*w + 24. Let t be f(-16). Let g(d) = -d**3 + d**2 - d. Let l be g(0). Calculate the common denominator of 869/t + l + 2 and 77/15.
120
Let l = 24/785 + 2361/5966. What is the common denominator of l and 54/35?
1330
Let m(z) = -z**3 - 8*z**2 - 11*z + 10. Let v be m(-6). Suppose -i + g + 14 = v*i, i = 3*g. Suppose i + 0 = f. What is the smallest common multiple of 3 and f?
3
Let c(w) = 516*w + 5652. Calculate the least common multiple of c(-9) and 2016.
2016
Let m be (-90)/(-6)*1 - 6. Suppose 0 = m*n - 390 + 363. Calculate the smallest common multiple of n and 170.
510
Suppose 22 = 4*u - 2. Suppose g - 13*g - 6120 = 0. Let a = g + 662. Calculate the lowest common multiple of u and a.
456
Suppose 2*z - c = -0*c - 49, -z - c = 32. Calculate the common denominator of 3/2 and 19928/9504 - (-2)/z.
44
Let z = 1008/29 + -45745/1392. Let u = 655/48 - 315/16. What is the common denominator of u and z?
48
Suppose 1 = -2*x - 29. What is the lowest common multiple of 10 and 0 + x*2/(-6)?
10
Let k = 44816 + -941102/21. What is the common denominator of k and (-320)/714 - 5/(-15)?
357
Suppose s - 256 = -4*n, -4*s - 110 = -18*n + 16*n. What is the smallest common multiple of 168 and n?
504
Let b = 172 + -102. Let v be (-13220)/b*310/6. Let x = v - -9761. What is the common denominator of x and 53/21?
21
Suppose -y + 2*l - 87 = 5*l, 2*y + 179 = -l. Calculate the common denominator of 2127/y + 112/140 and -17/24.
24
Let t be 2/(-15) - (-1096)/120. Let k be (15/3 - -7)*t/6. What is the smallest common multiple of 24 and 1 + 84/10 - k/45?
72
Calculate the common denominator of -9/55 and 14/(-2) - (-6012)/870.
1595
Let g(u) = -2*u**2 + 15*u - 27. Let z be g(11). What is the lowest common multiple of (z - -80)*(-2)/6 and 26?
104
What is the smallest common multiple of 4/178 + (-1851160)/(-1780) and 4?
1040
Let l be 4*((-23)/(-4) + -4). Suppose -84 = -j + l*j. Let s = 19 + j. Calculate the least common multiple of 3 and s.
15
Let w = -88 - -90. Suppose w*z - 58 = 5*c, 3*z + z = 5*c + 56. Find the common denominator of 67/27 and c/(-54)*122/4.
27
Let u(b) = b**3 - 2*b**2 - 11*b + 2. Let v be u(3). Suppose 2*q + 30 = -3*q. Calculate the common denominator of -95/8 and (57/q)/(v/(-10)).
88
What is the lowest common multiple of 1230 and 1 + 6/(-8) + 874522/1016?
8610
Let l(s) = 16*s**2 - 79*s + 15. Let c be l(19). Calculate the common denominator of 0/2 - (c/(-24))/(-13) and (6/16)/(54/(-2328)).
12
Let t = -24 - 67. Let v = 259 + t. Calculate the least common multiple of ((-6)/7)/((-8)/v) and 11.
198
Calculate the common denominator of 24/(-36)*(-655)/20 and 1/(-2) - ((-1598)/252)/(-17).
126
Let d = 44478/31 - 84954313/59210. What is the common denominator of -13/24 and d?
22920
Suppose 2*j + 5*b = 643, -4 = 798*b - 794*b. What is the lowest common multiple of j and 40?
3240
Let b be -2 + (3874915/(-24))/11. Let d = -14682 - b. Let w = 239/6 + -1945/48. What is the common denominator of d and w?
48
Let q = -19491 + 20148. What is the smallest common multiple of 1971 and q?
1971
Calculate the common denominator of 86/1125 and 15 - (-2563)/2750 - 16.
2250
Let o(i) = -10*i + 2. Let n be o(-1). Suppose 78 = 18*w - n*w. Suppose u - 28 = -0*u - 2*k, u = k + w. Calculate the smallest common multiple of u and 33.
198
Let c = 5240351/6732 - 8562/11. Calculate the common denominator of -117/680 and c.
6120
Let t = -76 - -75. Calculate the common denominator of 145/24 and (192/(-46))/(12/(-8)) + t.
552
Suppose -14 = -2*a + 4*j - 2, -2*j + 10 = a. Let u = 287 + -95. Suppose u = 11*l + 16. Calculate the lowest common multiple of a and l.
16
Suppose 0 = 4*c + 4*x + 36, -15 = 2*c - c + 3*x. Let k = 49117/11 - 4467. What is the common denominator of k and 218/72 - (-4)/c?
396
Suppose 5*z = 3*s + 1854, -4*s = -268*z + 267*z + 347. What is the lowest common multiple of z and 225?
1125
Suppose -290 = 4*c - 2*m, 0*c = 5*c + 3*m + 335. Let j = -74 - c. Let p(n) = n**2 + 3*n. Calculate the smallest common multiple of p(j) and 16.
16
What is the smallest common multiple of 12 and 135/(-5)*4*7/(-42)?
36
Let q = -2917012751803/1536060427770 + -62/75039591. Let i = q + -2/2047. Calculate the common denominator of 196/(-12) - (-3 + -4) and i.
30
Calculate the smallest common multiple of (7 + 1)*(-61320)/(-336) and 35.
10220
Suppose -61 = -4*k - 19*y + 24*y, 65 = 3*k - y. What is the least common multiple of 1004 and k?
6024
Let j = 4370 + -113675/26. Let y be 4/(-22) - 1596/(-7326). Let z = y - -1879/222. Find the common denominator of j and z.
26
Suppose -5*h + 212 = -4*i + 898, -5*h + 835 = 5*i. Let w = i - 3717/22. Calculate the common denominator of 31/10 and w.
110
Suppose j - 11 = 2*o - 6127, -4*o - 5*j + 12260 = 0. Calculate the common denominator of -23/8 and 25/2*(-288)/o.
136
Let n = 13961684041/5379 - 2595591. Calculate the common denominator of n and -121/30.
53790
What is the common denominator of 97/72 and -7 + 186/(-4224)*2410/(-15)?
3168
What is the lowest common multiple of 3678 and ((-1520)/(-60) - 12)*27/12?
18390
Let j = 24359 - 24125. What is the smallest common multiple of 1170 and j?
1170
Calculate the common denominator of -25/224 and ((-27)/(-45))/(4464/(-420)).
6944
Let c = -522 - -217. Let k = 45/268 + 78345/268. Let l = k + c. What is the common denominator of l and 53/18?
18
Let w(q) be the second derivative of -11*q**3/6 + 83*q**2/2 - 71*q. Calculate the lowest common multiple of 0 + (0 + -1)*-11 and w(7).
66
Calculate the common denominator of ((-4)/24)/(19/(-89)) and 6/(660/(-146))*18/((-180)/(-25)).
1254
Let l = -23/1425 + 1319/2850. Calculate the common denominator of 3/14 and l.
1050
Let w be 1 + 5847/14 - -3. Let y = 422 - w. Calculate the common denominator of y and 181/30.
210
Let g = -47/4 + 8. Let c = g - 9/8. Calculate the common denominator of -55/24 and c.
24
Let x = 381 - 584. Let m = -452 - x. What is the common denominator of 37/18 and m/27*1/(-2)?
18
Suppose -16*y + 484 = -1276. Suppose 5*a - 2*v = y + 27, 2*v + 2 = 0. What is the least common multiple of a and 3?
27
Let f(o) = 22*o**2 - 2*o. Let u be f(-1). Let v = -518 - -2041/4. Find the common denominator of v and 21/(-10) + -22 + u.
20
Calculate the common denominator of -61/48 and (1091676/(-3888))/29 - -10.
1296
Suppose -9*u = 10*u - 23*u + 40. Calculate the lowest common multiple of u and 23010.
23010
Find the common denominator of -9/3128 and (-108)/180 + ((-15678)/280)/9 + 3.
21896
Suppose 2*b = -i - 59 + 1, 4*b + 120 = -i. Let c = b - -35. Calculate the common denominator of -1/2 and 381/c*12/54.
6
Let a be 0/(-4) - 13066/(-32). Let n be (-1)/((-4)/236)*-