t t be s/6*84/8. Let c = t + 24. What is the lowest common multiple of c and 5?
10
What is the common denominator of 83/32 and (-32)/176 - (-1)/(1848/(-2535))?
224
Let y be 88 - (1 + (-6)/(-3)). Suppose 2*x - 11 = y. Calculate the smallest common multiple of 27 and x.
432
Let b = -44 - -85. Let u = b + -21. Find the common denominator of -93/38 and 2345/u*6/21.
38
Let z be (-11)/(-11) + (-9962)/(-1200). Let m = z - 319/25. Calculate the common denominator of m and -45/22.
264
Suppose 8*v + 952 = 984. What is the least common multiple of v and 89?
356
What is the common denominator of -74/9 and (-21)/14*(272/(-12) + 1)?
18
Let s(a) = -3*a. Let o be s(-7). Let x be (o - 19) + -1*4. Calculate the common denominator of 77/30 and (3 + x)*91/(-42).
30
Suppose 0 = 16*r - 18*r. Suppose 3*a + 10 = 2*d - r, -d + 7 = -a. What is the lowest common multiple of d and 3?
33
Let s = 21589/42 + -514. Calculate the common denominator of s and -43/84.
84
Let m be (197/14)/(10/(-10130)). Let k = m + 14248. What is the common denominator of -89/4 and k?
28
Suppose -54 - 6 = -4*p. Let g be p/((-1)/(-1 - 0)). Let z = 5 + g. What is the lowest common multiple of z and 12?
60
Let h(z) = 26 + 4*z + 13 - 60 + z**2. What is the lowest common multiple of 3 and h(-9)?
24
Let l be 4/(-14) - 1014/(-21). Calculate the common denominator of (0 - -4) + (-495)/l and 61/8.
16
Let a = 4274 + -2378. Let d = 7515/4 - a. What is the common denominator of (-114)/15 + 3/(-2) and d?
20
Suppose -36 = c + 3*c. Let p = -6 - c. Suppose -p*t + j = 4*j - 21, 5*j = -t - 5. Calculate the lowest common multiple of 6 and t.
30
Let t = 106 - -28. Find the common denominator of (2 + t/(-64))/(6 + -3) and -59/8.
32
Suppose 4*i - 8 = 5*s, -2*i + 8 = s + 2*i. Suppose 2*o - 34 = 3*f, -o + 2*f = -s*f - 18. What is the lowest common multiple of 40 and o?
280
Let c be 36826/168 + 2/6. Let h = c + -893/4. Find the common denominator of 107/14 and h.
14
Let z = 27455/3754 + -50833503/570608. Let j = 1448/19 + z. Let r = 275/17 - 23/34. Calculate the common denominator of j and r.
16
Suppose 4*c - 18 = 3*t, 3*c = -2*t + 10 + 12. Let f be 621/(-12) - (-15)/20. Let n = f - -75. Calculate the smallest common multiple of c and n.
24
Let f(z) = 5*z + 31. Let v be f(-10). Let o(k) = -k**3 - 19*k**2 + 11. Let i = -12 + 20. What is the lowest common multiple of i and o(v)?
88
Let p be 5/((-25)/10)*2/4. What is the lowest common multiple of p/(-2)*2*2 and 86?
86
Let s = 16 + -45. Let k = 33 + s. Suppose 10 = -2*u - 0*u, -3*l + k*u = -56. What is the least common multiple of 4 and l?
12
Let l = -1 - -4. Let s = 9 - l. What is the least common multiple of s - 1 - (0 - -1) and 9?
36
Let w(h) = -h**3 + 4*h**2 - 4*h + 3. Let y = -77 + 88. What is the least common multiple of w(2) and y?
33
Suppose 5*l = -u + 600, 5*l = 4*l - 3*u + 120. Find the common denominator of -9/7 and 494/l - (-12)/90.
28
Suppose m - 197 = -2*w + 6*m, 0 = 5*w + 4*m - 509. Let g be (-2)/w*27812/(-16). Let h = g - -8/101. Find the common denominator of -49/6 and h.
6
Suppose 5*s - 6 = -4*c - 5, 0 = -s - 3. Suppose 35 = -c*j + 5*x + 135, 0 = -j + 5*x + 40. What is the least common multiple of j and 12?
60
Let b be ((7 + -2)*-1)/(-1). Suppose 3*d - 3*n = 27, -b*d - 4*n + 2*n = -38. What is the smallest common multiple of 42 and d?
168
Let h = -2511 + 10093/4. Find the common denominator of -47/53 and h.
212
Let q(g) = -g**3 - 2*g**2 + 5*g - 3. Let c = -4 - 0. Let b be q(c). Suppose -b - 31 = -5*x. What is the smallest common multiple of 14 and x?
56
Let b be (2/(-5))/((-10)/75). Calculate the least common multiple of 30*(0 + 1/b) and 18.
90
Let f = -2797/29 - -239443/2436. What is the common denominator of 81/14 and f?
84
Let z = 17844 - 1677397/94. Calculate the common denominator of 5/12 and z.
564
Calculate the common denominator of 740/74 - (-169)/(-8) and 111/260.
520
Calculate the common denominator of 87/16 and -1 - 3/(-44) - (-54 - -51).
176
Suppose 0 = -2*n - 264 + 250. Suppose 3*q + 5*f - 40 - 23 = 0, 2*f = 4*q - 58. Let s = q + n. What is the lowest common multiple of 5 and s?
45
Let n(m) = m**2 - 7*m - 5. Let q be n(8). Calculate the smallest common multiple of -3*((-8)/q + 6/(-18)) and 5.
45
Find the common denominator of ((-63)/56)/((-14)/(-72)) and -7/4.
28
Let j = -2827811966713/8341714238 - -24/29166833. Let h = 3759/11 + j. Calculate the common denominator of h and 75/2.
26
Calculate the lowest common multiple of (-2)/(-7) + 25/((-1750)/(-1940)) and 40.
280
Suppose 0 = 12*l - 16*l + 32. Calculate the common denominator of 11/14 and ((-14)/147)/(l/(-186)).
14
Let y = 14167/388 + -5/388. Suppose 3*r + 9 = -2*s + 1858, 3*r - 1834 = s. What is the common denominator of y and 12/20 - r/30?
6
Let j be (2/(-1))/((-8)/12). Suppose 0 = a - j*q - 27, 12 - 38 = -a + 2*q. Suppose 4*g - a = 2*g. What is the smallest common multiple of g and 8?
24
Let r = -41845/984 - -917/24. Let w = r - -2977/984. Calculate the common denominator of w and 149/24.
24
Let w = -1811963/1755 - 451/702. Let a = w - -1044. Calculate the common denominator of a and -71/10.
10
Let y = 57533055/308 - 186796. Calculate the common denominator of -155/132 and y.
924
Let m(v) = v**2 - 14*v + 8. Let c be m(8). What is the common denominator of 55/28 and -2 + 1 + 425/c?
56
Let b = 272/1199 - -5/109. Calculate the common denominator of -11/103 and b.
1133
Suppose -104 = -20*v + 16*v. Let q(y) = -y**3 - 8*y**2 + 19*y. Calculate the lowest common multiple of q(-10) and v.
130
Let t = -2877 - -86279/30. Calculate the common denominator of t and 79/222.
1110
Let d(m) = -m**2 + 10*m - 7. Let k be d(9). Suppose 3*l - o = -82, -l = k*o - 3*o + 26. Calculate the least common multiple of 10 and 1/(-7) + (-172)/l.
30
Let n = 17289/20 + -864. What is the common denominator of (-7)/(-2) - 5 - (-32 - 2) and n?
20
Let a = -3955/6 - -654. Suppose 23 - 135 = 2*j. Find the common denominator of a and (1 - 1) + (-372)/j.
42
Let o be ((-56)/((-16)/4))/(18/(-2049)). Let b = o - -1614. Find the common denominator of b and -33/19.
57
Suppose -v + 402320 = 5*y, 321837 = 4*y - 6*v + 3*v. Let w = y - 320231/4. Let l = -417 + w. Find the common denominator of l and -49/3.
12
Calculate the common denominator of -29/10 and (704/1248)/((-20)/27).
130
Let o(d) = 57*d - 3. Let t be o(5). Let r be t/(-10) + (-2)/(-10). Calculate the common denominator of -11/8 and ((-5)/32)/(2/r).
16
Let a = -11471265 - -183445159/16. Let j = -5945 - a. Calculate the common denominator of -15/14 and j.
112
Let f = -15164 - -10207. Let b = f - -30587/6. Let y = b + -2099/15. Calculate the common denominator of -23/4 and y.
20
Calculate the common denominator of (-3)/(-20)*98*(-5)/24 and -7/988.
3952
Let n = -66487 - -4387991/66. Calculate the common denominator of -19/27 and n.
594
Let c = 16 + -11. Suppose 5*j - 56 = -4*k, 2*k - 29 = k - c*j. Suppose 0 = 4*z - z + k, 3*z - 11 = -2*x. Calculate the lowest common multiple of 10 and x.
10
Let o(x) = 10*x + 40. Let u be o(-14). What is the least common multiple of (1/(-1))/(3 + 305/u) and 108?
540
Let x = -115079/60280 - 24/1507. Calculate the common denominator of x and 47/30.
120
Let q = -32624/35 + 932. Find the common denominator of q and 31/28.
140
Let q = 23 - 19. Suppose 42 = 3*g - 4*d - 110, 0 = -q*g - 2*d + 210. Calculate the lowest common multiple of 9 and g.
468
Suppose 27 = -2*o - 25. Let r = -16 - o. Calculate the lowest common multiple of 2 and r.
10
Let x = -16999 - -408037/24. Calculate the common denominator of -15/7 and x.
168
Let f be (-4)/14 + 905/7. Let l be 5/f*4/28. Let v = l - -29639/28896. Find the common denominator of -43/18 and v.
288
What is the smallest common multiple of 153 and 255/(-4)*(-16)/6?
1530
Let x = 508021/220284 - 4/6119. What is the common denominator of -101/54 and x?
108
Let f = -117 - -216. Calculate the smallest common multiple of f and 6.
198
Let x(i) = -2*i - 3. Suppose -7*a + 9 = -19. Suppose -2*d + a*q - 20 = 3*d, -12 = 3*d + 3*q. What is the lowest common multiple of 25 and x(d)?
25
Suppose 0 = w - 2*y - 6, 3*w = 5*w + 4*y + 20. Find the common denominator of 1395/(-216) + w/(-6) and 5/18.
72
Suppose 3*n = n + 3*z + 36, -2*z = -4*n + 80. Suppose -3*b + i + n = 0, 13 - 4 = 3*b + 3*i. Let h = b - 0. Calculate the lowest common