
220
Suppose 2*u + 0*u - t = 40, -5*t + 20 = 0. Suppose 17*i + 30 = u*i. Calculate the lowest common multiple of i and 47.
282
Suppose -3*b + 91 - 88 = 0. What is the smallest common multiple of 143 and b?
143
Let a = 1911787/6 - 4908082/15. Let g = a - -8563. What is the common denominator of g and 2/5*(-59)/2?
10
Suppose 2*b - 4 = -3*o, 4*b + 5*o = 7 + 3. Suppose -3*j + b*j - 16 = 0. Calculate the smallest common multiple of 10 and j.
40
Let y = -777/2465 - -18/85. Find the common denominator of y and -20/261.
261
Let s = -2 + 6. Let i be 4/(-3 - (3 + -4)). Let r(z) = -2*z**3 - 4*z**2 - 3*z. Calculate the smallest common multiple of s and r(i).
12
Let w = -1392 + 12581/9. What is the common denominator of 46/9 and w?
9
Let i = 1/39334 - -1130839/531009. What is the common denominator of i and 86/15?
270
Let u(i) = -5*i - 1. Let x be u(1). Calculate the least common multiple of 6 - 8 - (-3)/(x/(-22)) and (-1)/(1 - 6/4).
18
Suppose 2*k + k = -216. Find the common denominator of 13/18 and ((-36)/k)/(1/179*-15).
90
Let k(y) = -5*y**3 - 2*y**2 - 10*y - 16. Calculate the lowest common multiple of k(-2) and 10.
180
Let q = 11449540 - 251952975/22. Let r = q - -2867. Calculate the common denominator of r and (-1)/5 - (-62)/60.
66
Let t = -23425/52624 + 61/2288. Find the common denominator of t and -59/4.
184
Suppose 6 - 4 = s. What is the common denominator of 99/14 and ((-692)/(-80) - s) + -2?
140
Let p = 1 - -6. Let l be 7/(-42) - (-3)/18. Suppose v - 3 + 1 = l. What is the smallest common multiple of p and v?
14
Suppose -9 = -5*r + 6. Suppose 5*x + 4*i = 59, -r*x - i = -8 - 26. Suppose 2 + 0 = 2*c. Calculate the least common multiple of x and c.
11
Let i = 25372 + -608783/24. What is the common denominator of 43/36 and i?
72
Let k = -14590 + 350045/24. What is the common denominator of -93/20 and k?
120
What is the common denominator of 46/3 and ((-15386)/(-6132))/7 + (-2)/12?
219
Let g(j) = 56*j**2 - 2*j + 2. Let y be g(-7). Let k = y - 11319/4. Let i = k - -177/2. What is the common denominator of 50/11 and i?
44
Let s = 363 - -556. Let g = s - 1885/2. Calculate the common denominator of -54/5 and g.
10
Let c be (-9806)/2*1 + 1. Let w = -5527512 + 55324057/10. Let x = c + w. Find the common denominator of -5/7 and x.
70
Suppose 4*j - 9*g - 79 = -4*g, -5*j - 5*g = -155. Calculate the smallest common multiple of j and 4.
52
Let b = -64 + 68. What is the smallest common multiple of 10 and (-24)/((b/(-16))/((-3)/(-18)))?
80
Let t = 357510143/664 - 538419. What is the common denominator of t and -63/4?
664
Let w = 40863 - 5148625/126. Calculate the common denominator of w and ((-138)/21)/((-4)/2).
126
Let c = -25130 + 754081/30. Calculate the common denominator of c and ((-726)/16)/(810/(-72)).
30
Find the common denominator of -13/81 and (96/18 + -5)*(-325)/(-35).
567
Let c be ((-14)/(-10))/(14/(-35))*-66. Let h = c - 471/2. Calculate the common denominator of -85/72 and h.
72
Let t(u) = 12*u**3 + 2*u**2 + 4*u - 3. Let k be t(4). Suppose 0 = 4*l - 3*l + k. Let v = l - -8920/11. Calculate the common denominator of v and 14/9.
99
Let m = 861/31 - 30483/1054. Find the common denominator of m and -39/16.
272
Suppose y - 4*i + 16 = 0, y - 3*y - i + 13 = 0. Suppose 3*u - 4*u = -h + 4, -u + y*h + 5 = 0. Calculate the lowest common multiple of 19 + u - (2 - -2) and 4.
8
Let g(r) = -r**3 + 31*r**2 + 21*r - 499. What is the least common multiple of 76 and g(31)?
152
Let g(x) be the third derivative of x**6/120 - 19*x**5/60 + x**4/8 - 43*x**3/6 - 11*x**2. What is the lowest common multiple of g(19) and 30?
210
Let q = -20139 + 61832/3. Let n = q - 457. What is the common denominator of n and ((-8)/(-12))/((-32)/(-582))?
24
Suppose 3*a - 58 = -2*m, 3*m = -4*a + 4*m + 81. Calculate the smallest common multiple of a and 116.
580
Let i = 150/41 + 3431/82. What is the common denominator of i and 5 - (1 + (-429)/(-242))?
22
Let j = -1479 + 1485. What is the smallest common multiple of j and 362?
1086
Calculate the common denominator of 14/5 and -10 - (228/546 - 11).
455
What is the common denominator of 7/11 and (-6)/(-11) + (-5)/((-2750)/365)?
110
What is the common denominator of ((-79)/16 - 2)/(147/(-196)) and -5/3?
12
Let q = -35 - -14. Let k = -16 - q. Suppose k = r - 0. What is the lowest common multiple of r and 6?
30
Let z = 57/125 - -16441/1500. Let v = -465501 - -304439707/654. Let n = 3/109 + v. What is the common denominator of n and z?
12
Suppose 4*n - 159 + 163 = 0. What is the common denominator of -43/9 and n - (824/(-288) - (-1)/(-4))?
9
Let b(f) = f**3 + 11*f**2 - 55*f + 93. What is the lowest common multiple of 108 and b(-15)?
108
Let y = -98 - 444. Let c = y - -6015/11. What is the common denominator of c and 28/11?
11
Suppose 4*x - 2*k = -6, 5*x + 5*k - k + 40 = 0. Calculate the least common multiple of 8/(-2) - x - -8 and 22.
88
Calculate the common denominator of 59/60 and 12 + -10 + (-161)/54.
540
Suppose 149 + 271 = 21*b. What is the lowest common multiple of b and 316?
1580
Let c = -28569/14 - -2047. Let q = 3 + -1. Find the common denominator of -1 - ((-89)/8 - q) and c.
56
Let n be -6*1/(4/10). What is the common denominator of ((-2)/(-3))/(12/1809*15) and 9/n*(-2)/4?
10
Suppose -4*x + 40 = -2*x. What is the lowest common multiple of (-1)/((21/(-18))/7) and x?
60
Let y be (-2)/10 + 5/25 - -755. Find the common denominator of (-3*(-1)/(-45))/((-4)/y) and (1 + 14/(-16))*-35.
24
Find the common denominator of 49/23 and (-49)/(-60)*-14 + 45/75.
138
What is the common denominator of ((-39)/150)/(10/(-20)) and 143/6?
150
Let j be 1 + (-3)/((6/(-4))/1). Let x = 24 - j. Calculate the smallest common multiple of x and 9.
63
Suppose 5*a + 2*r - 45 - 22 = 0, -2*a = 3*r - 18. Let u = -4218 - -4251. What is the lowest common multiple of u and a?
165
Suppose 9*q = 543 - 21. Let n = -22 - -34. Calculate the lowest common multiple of n and q.
348
What is the lowest common multiple of 24 and (-4 - -6) + 63 + 1?
264
Calculate the common denominator of (22/(-7))/((-3800)/(-1064)) and 45/22.
550
Let d = -64007/12 + 5325. What is the common denominator of 1354/(-280) + (-274)/(-5480) and d?
84
Let n = 10924/105 - 704/7. Find the common denominator of ((-1)/3)/(-9*(-3)/630) and n.
45
What is the common denominator of (5/4)/(2150/8772) and -47/4?
20
Let h(r) = 4*r + 4. Let y be h(-1). Find the common denominator of (1 - y)/1 - 164/80 and -19/20.
20
Let m(n) = n**3 - 6*n**2 - 9*n - 2. Let d be m(7). Let b = 36 + d. Suppose q - 2 + b = 0. Find the common denominator of 95/8 and q.
8
Let s = -1011 - -4125/4. What is the common denominator of 52/7 and s?
28
Let f be 32*(-1)/(2 - 4 - -1). Let c = f - 21. Calculate the least common multiple of 6 and c.
66
Suppose h = 2*h + 5*l + 134, -4*l = -4*h - 536. Let q = -127 - h. Let a(t) = -t**3 + 4*t**2 - t - 2. Calculate the least common multiple of q and a(3).
28
Suppose 8*m - 862 + 782 = 0. Calculate the least common multiple of 171 and m.
1710
Let m(p) = -p**2 - 7*p. Let u be m(-6). Let a be 15/4*80/u. Suppose -2*n = 3*n, -a = -5*v - 4*n. What is the common denominator of -20 and v?
1
Suppose -5*m + 78 = -27. Calculate the common denominator of 37/15 and (22 - 35)*1/m*1.
105
Suppose -2*r = -3*r - 1. Let p(d) = 2*d**2 + d. Let v(c) = 33*c**2 + 5*c - 2. Let h(i) = -6*p(i) + v(i). Calculate the smallest common multiple of 4 and h(r).
20
Suppose -j = -3*b - 193, 0 = 4*j - 29*b + 25*b - 812. What is the lowest common multiple of 208 and j?
208
Suppose -5*o + 0 + 3 = -3*p, -4*o + 4 = -2*p. Suppose o*f - 4*f = 55. Find the common denominator of 38/7 and 98/f - (-8)/(-20).
77
Let c = 108/1246315 - -6250168637/1166550840. Let d = 147/104 - c. What is the common denominator of 95/16 and d?
144
Suppose c = -2*o + 73, 3*o = -2*o + 2*c + 205. Calculate the lowest common multiple of o and 15.
195
Let f = 12661/438 - 273/73. Calculate the common denominator of f and 119/80.
240
Let o(v) = 2*v**2 - 26*v + 6. What is the smallest common multiple of 12 and o(13)?
12
Suppose 0 = 3*m - 3*s - 210, 5*s + 213 = 3*m + s. Let d = -36 + m. Suppose -76 = -5*i - d. What is the lowest common multiple of i and 11?
99
Suppose 4*p = 2*p - 4. Calculate the least common multiple of (18/(-8))/(p/8) and 15.
45
Suppose u - 18 = 2*u. What is the common