5
Let s be -1 + 5 - (3 - 6). Calculate the smallest common multiple of 44 and (-11)/77 + 113/s.
176
Let b be ((-303)/(-110))/(-3)*637/7. Let m = b - -423/5. Calculate the common denominator of m and 1*-1 + 333/66.
22
Suppose 2*x - 4*h - 68 = 8, -146 = -4*x + 2*h. Suppose 8 + x = 22*s. Calculate the least common multiple of s and (-20)/(-25)*(-1 + (-21)/(-6)).
2
Calculate the least common multiple of (-4)/(-1) - (5 - (-63)/(-7)) and 132.
264
Let c = 346401043/1980 - 174950. Calculate the common denominator of c and -7/1980.
1980
Suppose -981 = -16*u + 13*u - 3*x, -4*x = -5*u + 1599. Calculate the lowest common multiple of 646 and u.
646
Suppose 5*p + s = -7, -8 = 5*p - 4*s - 11. Find the common denominator of 103/10 and p + (2 - 2) - 595/(-84).
60
Let y = 43534 + -1741249/40. Calculate the common denominator of -99/1000 and y.
1000
Suppose 2*y = b - 16, 5*b - 80 = -2*y + y. Suppose 5*g = 7*g + 2*d - b, -1 = -d. Calculate the least common multiple of g and 1.
7
Let v = 3251342/34459 + -1604/17. Let u = -156059/20270 - v. Find the common denominator of u and 0 + -13*1/(-9).
90
Suppose 0 = 3*x - 23*t + 26*t - 1191, -1582 = -4*x + 2*t. What is the smallest common multiple of 36 and x?
396
Suppose 37*x - 18*x = 11047 - 2839. What is the lowest common multiple of 54 and x?
432
Let k = 192 + -392. What is the common denominator of -55/21 and (k/(-144))/((2/(-15))/(-1))?
84
Let k = 59/130 - -7901/780. Let v be 1 - 0 - 457/456. Let d = v + 8323/456. Find the common denominator of k and d.
12
Let q = 333/2 - 883/6. Let b = 175/9 - q. Let f = -4772 - -9575/2. Find the common denominator of f and b.
18
Suppose -30*b - 4 = -29*b. Let p(h) = -h**3 - 4*h**2 + h + 5. Let g be p(b). Find the common denominator of -23/5 and 0 + 395/40 + g.
40
Let g = -2/445 + -16451/3115. Let w(v) = 5*v - 12. Let q be w(2). Find the common denominator of q/(-10) - 15953/(-1060) and g.
28
Calculate the common denominator of (-9919)/(-2289) - (-658)/(-12) and -1 - (189/114)/1.
38
Let k = 1/124138 - 2142503/139344905. Find the common denominator of -34/1347 and k.
13470
Let p be (15/9)/((-1)/(-21)). Let h = p - 2. Calculate the common denominator of 93/10 and 508/18*h/(-44).
30
Let b be 2/(-8) - (4 - 185/20). Suppose -b*j + 29 = -181. What is the common denominator of 77/8 and (-4)/(-120)*(-117)/j?
280
Let x = -43542 - -43612. Calculate the lowest common multiple of (0 - 1)*1*-15 and x.
210
Let t(l) = -18*l**3 - 2*l**2 + 1. Let p be t(-1). Let c = -760 + 746. Let a = p + c. Calculate the least common multiple of a and 9.
9
Let f = 53358899/276 - 193329. Calculate the common denominator of f and -67/736.
2208
Let k(q) = -q**2 - 22*q - 19. Let z be k(-21). Let o be (57/9)/(-11*z/(-28150)). Let s = o - 8102. What is the common denominator of -19/18 and s?
198
Let o = -6795/176 - -402/11. Let d be 8/(-12)*3 - -6750. Let q = -67413/10 + d. Find the common denominator of o and q.
80
Let a = 715847/18180 + -4074/101. Find the common denominator of a and 97/600.
1800
Suppose 61*b = 26390 + 1487. Suppose -11*d + b = -93. Calculate the smallest common multiple of 15 and d.
150
Let z = -40223 + 41098. What is the least common multiple of 325 and z?
11375
Suppose 3*f = f + 3*m - 5, -4*f = 2*m - 30. Find the common denominator of 11/57 and 222/(-45)*(-6)/(24/f).
114
Let a(k) = -29*k - 42. Let v be a(-2). What is the common denominator of (-104)/v + (-3 - -8) and -119/36?
36
Let n = 159948 - 35188497/220. Find the common denominator of 1/660 and n.
660
Let w(g) = g**2 - 4*g + 7. Let m be w(2). Let s be 69/(-6)*((-6)/m - 2). Let d = -42 + s. Calculate the lowest common multiple of d and 20.
20
Calculate the smallest common multiple of (13/(546/(-72)))/((-5)/2065) and 6.
708
Let n(c) = c**3 - 21*c**2 - 24*c + 570. What is the least common multiple of 99 and n(21)?
198
Let y = 23366 + -23054. Calculate the least common multiple of y and 2496.
2496
What is the common denominator of (1958/(-1320)*9)/(126/4) and 79/98?
1470
Let n = 134 + -94. Suppose 8*d - 232 = -n. What is the least common multiple of d and 44?
264
Let u = -38111/35 - -1089. What is the common denominator of u and (-3 - (-143)/77)*-5?
35
Let f = 145 - 15. Suppose -24*t = -11*t - f. What is the lowest common multiple of t and 7?
70
Calculate the least common multiple of 3674 and (25551/255)/(6*(-5)/(-300)).
11022
Suppose 2*y - 2*y = -4*y + 64. Calculate the least common multiple of 70 and y.
560
Calculate the common denominator of 5399*14/5040 - 15 and 59/1125.
9000
Let m(l) = -l**3 + 33*l**2 + 193*l + 165. Calculate the smallest common multiple of 305 and m(-9).
1830
Let p = 213 - 857. Let a = p + 667. What is the least common multiple of a and 32?
736
Suppose 548 = 4*u - 4*b, 0*b = 4*b - 12. What is the least common multiple of 45 and u?
1260
Let f(k) = 43*k - 1. Let r be f(1). Suppose 3*u = -2*t - u + r, -4*u = -t + 15. Suppose -37 - t = -2*s. What is the smallest common multiple of 40 and s?
280
Let j be (3 - 12/4)/3. Suppose -z = -5*t + 53, j = -4*z - 0*t + 4*t - 148. Find the common denominator of (-2)/(-6) - z/18 and -107/10.
30
Let z = 155140/291 - 950/97. Let a = z + -528. Calculate the common denominator of -29/184 and a.
552
Suppose 61 = 6*m + 49. Let q(s) = 6*s**2 + 12*s - 28. Calculate the least common multiple of 20 and q(m).
20
Let v = 2133/5 + -16139/40. Let b = -143/8 + v. Find the common denominator of b and -125/12.
12
Suppose 17559 = 85*p - 18141. Calculate the smallest common multiple of p and 1204.
18060
Let g(d) = 20*d - 102. Let h(j) = 9*j - 51. Let r(x) = -3*g(x) + 5*h(x). Calculate the lowest common multiple of 1 and r(3).
6
What is the smallest common multiple of 688 and (-1 + 26/(-14))*774172/(-5144)?
3440
Suppose -v - v + 15 = -5*a, 0 = 3*v - 4*a - 12. Calculate the common denominator of (-15)/(-10) - v*5/(-15) and -143/6.
6
Calculate the common denominator of (-1900)/(-140)*(-8)/450 and 43/63.
315
Let j = -32821 + 525075/16. Let x = -2933/496 + 87/248. Calculate the common denominator of x and j.
16
Let d(h) be the third derivative of -14*h**2 - 1/60*h**5 + 0*h + 7/3*h**3 + 0 - 5/24*h**4. Calculate the least common multiple of d(-4) and 72.
72
Let b be 1625/100 + 1/((-8)/(-6)). Suppose -5 + b = 3*w. Suppose 0 = w*i - 5*r - 113, 2*i + 7*r - 4*r = 73. What is the lowest common multiple of i and 40?
160
Let z(w) = w**2 - 11*w - 10. Let o be z(-8). Suppose 4*a = 5*c + o, -3*a + 7*a + 5*c - 162 = 0. What is the smallest common multiple of 14 and a?
266
Suppose 93*g = 82*g + 462. Calculate the least common multiple of 831 and g.
11634
Let a(d) = -93*d + 3. Let j be a(-1). Let s = j + -71. Find the common denominator of -58/65 and ((-595)/s)/((-6)/5).
390
Suppose g + 304 = 2*k, 0 = -16*k + 17*k - 4*g - 166. What is the lowest common multiple of k and (29 - 32)/(3/(-2))?
150
Let h(i) = -i**2 - 7*i + 35. Let z be h(-10). Suppose z*p = -t - 17, 0*p + 10 = -p + 2*t. Calculate the least common multiple of (p - (-56)/12)*36 and 42.
168
Let h be (1/61)/((-213)/1090915). Let w = h + 84. Find the common denominator of 157/30 and w.
1830
Let a(n) = -3*n + 57. Let h be 2/12*12 + 6 + 1. What is the least common multiple of a(h) and 90?
90
Let t be (-1)/(-5) - (-8055205)/(-1127475). Let y = t + 1/50110. What is the common denominator of y and -5 + 32*(-2 + -1 + 938/294)?
126
Let c = 3452 - 3207. Calculate the smallest common multiple of 95 and c.
4655
Let n = 12529 + -563804/45. What is the common denominator of 76/369 and n?
1845
Let t = -301675/212964 + -2/17747. What is the common denominator of 69/98 and t?
588
Let o be 5 + (-7)/((-294)/613). Let l = 26/21 + o. Find the common denominator of -7/12 and l.
12
Let p(w) = -w**3 + 8*w**2 - 2*w - 41. Let u be p(7). Calculate the common denominator of ((-224)/12 + -7)/(40/u) and 59/12.
60
Find the common denominator of (38 + (-3451)/87)*2/870 and 1/3219.
9657
Let a = 2/644973 - 62562433/16769298. What is the common denominator of a and (-2)/(-9) - (-472)/(-1638)?
182
Suppose -6*p + 334 + 56 = 0. Suppose 97 = 6*g - p. What is the least common multiple of 8 and g?
216
Suppose 42*v - 38*v + 76 = 6*n, -4*n = -v - 59. What is the least common multiple of 136 and n?
272
Let u(i) = -i**3 - 33*i**2 + 71*i + 152. What is the least common multiple of u(-35) and (-2)/(16/(-12))*(-26)