
10340
Suppose 3*g = 2*q, 0 = 3*q + 4*g - 0*g - 17. Let f be (q/18)/(162/136). Let i = -5503/1701 + f. Find the common denominator of 56/27 and i.
189
Let y(b) = b**2 + 7*b - 20. Let f be y(5). Let g = -27 + f. Let m = g + -12. What is the lowest common multiple of m and 9?
9
Let i = -14381/14 - -1028. Calculate the common denominator of i and (-2)/(-5) + (-1462)/1580.
1106
Let n be -2 + 0/(-4) + 55. Suppose -n = s + 3*s + b, -21 = 3*s - 3*b. Calculate the common denominator of -44/5 and ((-62)/(-7))/(24/s).
35
Let w = 20427/8 - 367547/144. Find the common denominator of 43/768 and w.
2304
Let w be 10/4 - 1784/(-16). Suppose 88 = -w*t + 116*t. What is the lowest common multiple of 56 and t?
616
Let z be (4 - 4) + (-286)/18. Let t = -137/6 - z. Find the common denominator of t and 1 - -3 - (-9)/36*(-249)/6.
72
Let b be (3*15/18072)/(20/80). Let g = 14799/1004 + b. Calculate the common denominator of g and -25/123.
492
Let f be (-8)/(-32) + (-22)/(-8) - -18. Let u be (5/(-10))/(1/14). Let o = f - u. Calculate the least common multiple of 18 and o.
252
Let r(p) = 285*p**2 - 14*p + 31. Let v be r(6). Let l = 245021/24 - v. Let t = -1374407/42 - -32721. Find the common denominator of l and t.
168
Suppose 4*a + 2*j - 70 = j, -5*j = 10. Suppose 5*k - 38 = 4*b, -469*k + 465*k - 3*b = -18. Calculate the least common multiple of a and k.
18
Let p(u) = -18*u + 2. Suppose -8*g = -6*g + 2. Let y be p(g). Suppose -y = -a - 4*a. What is the lowest common multiple of a and 2?
4
Calculate the common denominator of -1/80 and (679/(-16296))/((-712)/270 - 2).
25040
Let v = 189348132/264305 + -6/52861. Let q = v + -7061/10. Find the common denominator of 55/9 and q.
90
Let m = 33 - 30. Let i = m + 189. What is the lowest common multiple of 10 and i?
960
Let k = -142 - -4. Find the common denominator of (k/184)/(105/(-32)) and -73/40.
280
Let x(y) = -3*y**2 + 4*y - 4. Let c be x(1). Find the common denominator of -71/2 and (14/6 + -2)/(c/57).
6
Suppose 3*n = -4*c + 68, c - 4*c + 47 = 2*n. Calculate the common denominator of (-177)/17*n/240 and -65/102.
510
Let z = 469114831/1128 + -415882. Calculate the common denominator of -103/282 and z.
1128
Let z = -4 + 63. Let d = 360 - 353. Calculate the least common multiple of z and d.
413
Let v = -137 - -485. Let f = v + -85. What is the least common multiple of 9 and f?
2367
Let d = -5488 + 1726. Let a = 101615/27 + d. Let n = -108 - -1612/15. Find the common denominator of n and a.
135
Suppose 0 = -a - 3*r + 181, -4*a + 475 + 275 = -r. Let m = a - 158. What is the smallest common multiple of 4 and m?
116
Suppose -170 = t - 60. Let o = t + 114. What is the lowest common multiple of 4 and o?
4
Let m be (107/(-53) + 2)*-68. Let s be (-1)/212*(3600 + 11). Let z = s + m. Find the common denominator of z and -41.
4
Suppose f = -5*h - 630, 0 = -8*h + 4*h - 2*f - 510. Calculate the smallest common multiple of (11 + h/10)*84/(-9) and 100.
700
Let d = -1 + 2. Let q be ((-16)/(-20) - d) + (-38)/10. Let b(o) = 2*o**2 - 4*o + 3. What is the least common multiple of 11 and b(q)?
561
What is the common denominator of (-1*(-3)/(-81))/(1206/351) and 101/536?
4824
Calculate the lowest common multiple of 26/351 + (1 - (-241)/27) and 4706.
23530
What is the smallest common multiple of 126 and (3/8)/(63/(-84))*2 - -463?
1386
Let l be -1*24/15*(-1350)/60. What is the smallest common multiple of 2 and (246/l - 6/4)*3?
16
Suppose -41 = -5*a - 3*j, -5*j + 2 = -a - 9*j. Let h(o) = -o**2 + 13*o - 24. Calculate the lowest common multiple of h(a) and 46.
138
Let v(a) = a**3 + 5*a**2 - 7*a - 12. Let y be v(-6). Let q be (-848)/y - (-1)/(-3). Suppose 7*d = -15 + q. Calculate the lowest common multiple of d and 22.
198
Let a(x) = 4*x - 19. Let u be a(8). Suppose g = u + 29. What is the smallest common multiple of g and 30?
210
Suppose 590 = -10*n - 390. Let m = 185 + n. Let c = 173 + m. What is the smallest common multiple of c and 18?
2340
Let q = 826 - 89. Let n = 745 - q. What is the least common multiple of 116 and n?
232
What is the least common multiple of ((-14)/63 + 404/9)/((-10)/(-60)) and 6?
804
Suppose 13*u = 12*u + 5. What is the common denominator of (1/69)/((-1299)/(-261) - u) and (-62)/(-8) + 1 + -4?
92
Suppose 0 = -3*v - 2*n - 620 + 232, 0 = -3*v + 4*n - 394. Calculate the smallest common multiple of 91 and v*(-1 + 3/4)*2.
455
Let o(r) = -5*r**2 + 68*r + 289. Let l be o(17). Let z = 19 + 9. Suppose -2*v + 3*j + z + 2 = l, 6 = 3*j. Calculate the least common multiple of 42 and v.
126
Let p = -144897197/12 + 12059463. Let v = -15294 - p. Find the common denominator of -85/26 and v.
156
Let u(v) = 5*v**3 - 11*v**2 + 32. Let r(o) = o**3 - 3*o**2 + 8. Let a(d) = -9*r(d) + 2*u(d). What is the smallest common multiple of a(-3) and 9?
90
Find the common denominator of ((-13)/(-455)*-371)/((-3)/(-5)) and 21/460.
1380
Suppose 2*b = -3*n - 8, -3*b - 2*n - 5 = -2*b. Let s(v) = -46*v**2 - 2*v - 2. Let c be s(b). Let h = c + 55. What is the smallest common multiple of h and 2?
18
Suppose y - 69 = 3*j, -86*j + 84*j = 2*y - 114. What is the least common multiple of 10 and y?
60
Let m(i) = 2*i**2 + 5*i - 5. Let u be m(12). Let a = u - 530. Find the common denominator of (a/440)/((-2)/(-8)*2) and 113/14.
140
Find the common denominator of 166/83 + 3/(-6) and -93/1028.
1028
Suppose -4*d = -5*y - 18 + 8, 0 = 3*y - d - 1. Calculate the lowest common multiple of 6*1/3*5/y and 459.
2295
Find the common denominator of (68/7072)/(2*11/79) and 93/416.
4576
Let s be 3/(6/(-84) + 0). Calculate the common denominator of -5/6 and (s/8)/((-630)/448).
30
Let m = -6245987/22445710 - 3/55285. Calculate the common denominator of m and -17/14.
406
Let i(m) = m**3 + 14*m**2 + 13*m + 8. Let j(h) = 21*h**2 - 10*h**2 - 5*h**2 - 2*h**2. Calculate the smallest common multiple of j(2) and i(-13).
16
Calculate the common denominator of (-1)/(-30) + 25186/155820 and 91/12.
636
Let v = 340015/32 - 10625. What is the common denominator of -37/1694 and v?
27104
Let s = 2169167 - 26111981/12. Let n = -6843 - s. Calculate the common denominator of n and -37/210.
420
Suppose 59*b = 43*b + 224. Suppose b*f - 70 = 7*f. Calculate the smallest common multiple of 58 and f.
290
Let i(f) = 124*f**2 + 68*f - 11. Calculate the lowest common multiple of 81 and i(2).
1863
Let d = 1402139/46 - 30482. Calculate the common denominator of -11/1058 and d.
1058
Suppose 910 = a + 894. What is the common denominator of -5/48 and 15/180*(-340)/a?
48
Let v = -3533620 + 63622639/18. Let w = 975 - v. Let g = -1797/2 - -859. Find the common denominator of g and w.
18
Let u = -15 - 317. Let v = u - -404. Calculate the least common multiple of v and 24.
72
Suppose 4*q - 119 = -5*g, g = 5*q + 6 - 191. Suppose r + r = q. What is the common denominator of -29/10 and 1/(-12) + r/(-27)?
20
Let a = 89 - 91. Let n = -11 - -23. Calculate the smallest common multiple of 737/22 + 1/a and n.
132
Let w = 25196975/47052 + 909/2614. Let s = 4808/9 - w. What is the common denominator of -5/24 and s?
72
Let a = -119875/18 + 6667. What is the common denominator of a and 173/924?
2772
Let v = -529761/166684 - 2/5953. Let f be 137427/(-36) - 1/(-3). Let b = f - -3815. What is the common denominator of v and b?
84
Let g(l) = l**3 - l**2 + 12. Suppose 99 = 14*m - 55. Suppose -5*v - m - 4 = 0, -5*p = -v - 53. Calculate the smallest common multiple of p and g(0).
60
Calculate the lowest common multiple of (24 - 0) + 6 + -5 + -5 and 25.
100
Suppose 4*g + 2*b = 1500, 1500 = -21*g + 25*g - b. Calculate the least common multiple of g and 1375.
4125
Suppose 2*f - 3*f + 3*z + 5 = 0, -3*f + 1 = -2*z. Let t = 62/365 - 33959/4380. What is the common denominator of t and (15 + f)*50/720?
36
Let d = 6692 + -3672. What is the smallest common multiple of d and 10?
3020
What is the least common multiple of ((-7668)/(-3))/4*(-1)/(63/(-14)) and (-6)/((-6)/(-9) - 1)?
1278
Let j = 187027411/735 + -254459. What is the common denominator of j and -31/210?
1470
Let m be 3/(-9 - -6) + (0 - -439). Let f = m + -422. Calculate the smallest common multiple of f and 118.
944
Let y(w) = 3*w**3 + 5*w**2 - 4*w - 9. Let n be y(-4). Calculate the common denominator of (-9)/6*(-511)/n and 73/66.
330
Suppose -2*m - 3*a + 4 = -8, 3*a + 60 = 4*m. Suppose 344*v - 6