q - 5*x + 7. Find the common denominator of (1494/48)/(q/6) and 31/18.
36
Let i = 4745 + 13013. Let c = i + -710391/40. Calculate the common denominator of -8/45 and c.
360
Let q = 3752 + -30101/8. What is the common denominator of q and -43/746?
2984
Let t(q) = -103*q + 5857. Calculate the lowest common multiple of t(55) and 447.
28608
Find the common denominator of ((-1)/(-6))/(-13 + 42/4) and -115/912.
4560
Let f(a) = -117*a**2 - 2. Let o be f(1). Let d = o - -149. What is the smallest common multiple of 30 and d?
30
Let j(s) = s - 47. Let d be j(51). Suppose -4*q + 3*i + 42 = 0, -3*q = -4*q + d*i + 17. What is the smallest common multiple of q and 204?
612
Let u = -12 - -13. Let k(g) = -31*g**2 - g + 2. Let a be k(u). Let s = a + 33. Calculate the lowest common multiple of s and 16.
48
Let c = 28156 - 15063454/535. Let a = c - -32611/2140. Calculate the common denominator of -1 + 214/20 + -1 and a.
20
Let q be 10/(-5) - (3259 - -1). Let p = 7805651/6 + -1304214. Let f = p - q. What is the common denominator of f and 11?
6
Suppose 0 = w - 2*b - 374, -b - 2*b = 6*w - 2274. What is the smallest common multiple of w and 21?
378
Let q be (194/(-8040))/(14/1813) + 1. Let x = 28/335 - q. Calculate the common denominator of x and 67/48.
48
Let o = 347005/22 - 15770. Suppose 0 = 4*r - 3*r - i + 5, -4 = -2*i. What is the common denominator of o and (-3)/r - 157/64?
704
Let k be -2 - (-163*8)/(-4). Let y = 226 + k. Let c = y + 123. Calculate the least common multiple of c and 27.
189
Suppose q - g = -1535, -14*q - 3*g - 6154 = -10*q. Let c = -7634/5 - q. Calculate the common denominator of c and 99/40.
40
Find the common denominator of 1/3 + (-175)/120 and 8 + (-1)/2*1396/84.
168
Suppose 2*x - 868 = 470*b - 472*b, 0 = -x + 6*b + 476. Calculate the smallest common multiple of x and 704.
3520
Suppose -2*v - 1 - 1 = w, -2*w = 4. Suppose 25*j - 23*j + 44 = v. Let s = 0 - j. Calculate the lowest common multiple of s and 8.
88
Let x be ((-260)/348)/(-13)*(-1)/(-7). Let y = 3/29 - x. Calculate the common denominator of y and 33/5.
105
Suppose 0 = -5*v + 6*j + 324, -2*v - 672*j + 108 = -669*j. What is the least common multiple of 1452 and v?
7260
Let j = 7449 - 59667/8. Calculate the common denominator of j and 137/534.
2136
Let g(j) = -j**3 - 4*j**2 - j - 2. Suppose -216 = -3*l + 540. Let n = -240 + l. Calculate the lowest common multiple of g(-4) and n.
12
Let o(m) = 29*m + 5. Let a be o(-2). Let p = a - -88. Let y = 37 - p. Calculate the least common multiple of 46 and y.
46
Let r be (-1)/((7/4)/(-7)). Suppose -4*l - u = -3*u - 48, -r*l = 2*u - 32. Let n(w) = w - 1. Calculate the least common multiple of n(6) and l.
10
Let w = -15476 - -216575/14. Calculate the common denominator of w and (1 + 1)/((-152)/53).
532
Suppose 1544 = -12*q + 500. Let s = q - -88. What is the smallest common multiple of s and 40?
40
Let l be (32/(-12))/(4/18). What is the lowest common multiple of (l - -8)*(-4)/1 and 28?
112
What is the common denominator of 1/((-2834)/19906) + (3 - -12) + -8 and 73/8?
11336
Let q = 2910 + -5889/2. Calculate the common denominator of 59/750 and q.
750
Find the common denominator of -4 + ((-224)/120)/(-28) and -89/642.
3210
Let q = 199 + -144. What is the lowest common multiple of (5 + -3)*(-3)/6 + 5 and q?
220
Find the common denominator of -23/3 and 24 + 1887/(-74) + 932/633.
1266
What is the common denominator of -47/306 and ((-11275)/680)/(-11)*7/35*-2?
612
Let d = -124035 - -14140117/114. Calculate the common denominator of d and -77/234.
4446
Let l = -857/4 - -227. Suppose -3*n + 6*v + 10242 = 3*v, 2*v = 4*n - 13646. What is the common denominator of ((-15)/8)/(n/644 + -5) and l?
36
Let t(h) = -h**3 - 21*h**2 + 17*h + 37. Let w be t(-20). Let u = 5679/8 + w. Let l = 23359/1062 - 888/59. Find the common denominator of l and u.
72
Let x(d) = d**3 - 34*d**2 + 4*d + 298. Suppose -11 = 2*s - 5*v - 3, -4*v + 16 = 0. Calculate the least common multiple of x(0) and s.
894
Let l = 1861 - 1849. What is the smallest common multiple of l and 80*(-2)/(4/(-9))?
360
Find the common denominator of 3180/(-2650) - (-2 + 139/(-220)) and (-2)/(-9) - 1286/2304.
1408
Suppose -5*q = -3*z - 55, -q + 4*z - 9*z = -11. Calculate the common denominator of 43/32 and -4 + (73/2 - (-22)/q).
32
Suppose 123 = -3*p - 3*f, 43*f + 163 = -4*p + 40*f. Calculate the lowest common multiple of 56/p*1*-5 and 54.
378
Suppose 40 = -m + 5*m - 5*h, 28 = 4*m - 2*h. Suppose -3*n + 114 = 2*v - 2*n, -n = -m*v + 278. What is the smallest common multiple of 8 and v?
56
Suppose 5*l - 50 = 4*b, -2*l + 180*b - 179*b + 20 = 0. Suppose 4*i - 197 = 463. What is the least common multiple of l and i?
330
Let k(p) = -118*p + 94. What is the smallest common multiple of k(-5) and 532?
4788
Let a be 501/(-6)*(-3 + (5 - -12)). What is the common denominator of a/189 - 0 - -6 and -77/6?
54
Let y be (-33 + 31)/((-144)/74). Let f = -847/36 + y. Find the common denominator of ((-122)/(-6))/(20/6) and f.
10
Let k = -4097 + 4133. Suppose 11 = 4*f - 157. What is the smallest common multiple of f and k?
252
Let u be -5 + (-2 - (-63699405)/(-39)). Let p = -1758815453/1079 - u. Let y = 3283 - p. Find the common denominator of y and -51/10.
830
Let x be (-49402)/66*(29 - 0)*-1. Let o = x - 21709. Let n = 5/1278 + 31499/6390. Find the common denominator of o and n.
165
Let g(s) = -2*s**3 + 7*s**2 + 55*s - 194. Suppose -y - 19 = 2*c, c = y + 3*y + 49. Let d = -9 - y. What is the least common multiple of d and g(5)?
12
Suppose 2*i - 21 = 4*u - 5*u, -55 = -5*i - 5*u. Suppose 33 + i = l. Calculate the smallest common multiple of 5 - (2 - -18)/(-4) and l.
430
Suppose 6*a - 5*v = 83, -101*v = -a - 103*v - 6. Calculate the smallest common multiple of a and 270.
1080
Calculate the common denominator of (42/(-9))/((-10 - (-3152)/24) + -11) and -97/28.
9268
Suppose 3*h + 140 + 55 = 0. Let a = 70 + h. Suppose -a*r + 3*c - 210 = 0, -r = -0*c + 5*c + 42. Calculate the common denominator of 137/30 and r.
30
Suppose 32*t = -52*t + 6720. Suppose 5*n - 5*f - 40 = 0, -4*n + 34 + 34 = 5*f. Calculate the lowest common multiple of t and n.
240
Let u(s) = 50*s**2 - 17*s - 2. Let c be u(-4). Let p = -1781/2 + c. Let f = 611/3402 + -1/972. Calculate the common denominator of f and p.
28
Let o(z) = -48*z**3 - 4*z**2 + 4. What is the smallest common multiple of 27 and o(-1)?
432
Let h = -187 - -445/2. Calculate the common denominator of h and 53/1348.
1348
Let f be 0 + (-805197)/(-144) + 3/12. Let u = f + -11189/2. Calculate the common denominator of -1/22 and u.
528
Let q = -125 - -127. Suppose -55 - 65 = -4*o + q*p, 159 = 5*o + 2*p. Find the common denominator of o and -15/4.
4
Let f(n) = 202*n + 242. What is the least common multiple of 2130 and f(22)?
23430
Let j(d) = 52 - 17*d + 14*d + 2*d. Let o be j(-10). Suppose 0 = -4*q - 2*l + o, -4*q + l = -3*l - 92. Calculate the least common multiple of 3 and q.
18
Find the common denominator of (0 - (-12)/(-217))*(-214 + 215) and 115/6.
1302
Calculate the common denominator of -26/283 and 8/36 - (-2 + 2328/2214).
11603
Let b(m) = m**2 - 20*m - 79. Let u be b(-13). Let h = u + -320. What is the least common multiple of 45 and h?
90
Suppose -208*p + 283*p = 514350. What is the least common multiple of p and 54?
6858
Suppose -u - 7 = -3*s - 3*u, 10 = 5*s + 5*u. Suppose -2*r = -s*v + 2*r + 8, 5*r - 5 = 0. Calculate the common denominator of 47/32 and (-406)/72 - (65/20 - v).
288
Let z be (-2)/10 - (-2 - (-38)/10). Find the common denominator of (-4)/(640/188)*(z - 0) and (-423)/110 + (2 - -2).
220
Let a = 8 - 3. Let g = 41 + -47. Let j = g + 16. Calculate the smallest common multiple of j and a.
10
Let g(f) = f**3 + 5*f**2 - f + 2. Let u be g(-5). Let z(l) = -128 - 128 + l**2 - 127 + 509 - 134 - 5*l. What is the least common multiple of z(u) and 3?
6
Let m = -45 - 92. Let s = m + 151. What is the smallest common multiple of 4/8 - (-43)/2 and s?
154
Let b be 422/756 - (-4)/(-8). Let d = 226217757449/1890 - 119691924. Let u = b - d. Find the common denominator of u and -115/12.
60
Suppose 7*x - 45 = 4. Let d(h) = -4*h**2 + 31*h - 9. Calculate the lowest common multiple of 14 and d(x).
84
Suppose 3*c + 2*f = -11, 4*c + 5*f - 2 = -12. Find the common denominator of 71/8*(-4 - (c - -2)) and 71/20.
