30.
4030
What is the common denominator of 726/(-4840)*(-14)/30 and -19/240?
1200
Let n(q) = q**2 + 2*q + 5. Let b = 90 - 93. What is the least common multiple of n(b) and ((-21)/6)/7*-10?
40
What is the common denominator of ((-182)/102)/(-2 + (-16)/(-4)) and (1*-83*(-12)/(-72))/4?
408
Let g(a) = -7*a - 10. Suppose 0 = -45*p + 29*p + 2016. Calculate the lowest common multiple of p and g(-2).
252
Let g = 1898850433/2538 - 748168. Find the common denominator of g and -5/8.
10152
Suppose -3*u = 3*g - 8 - 1, 4*u - 28 = 4*g. Suppose -u*w + 368 + 37 = 0. Calculate the common denominator of -97/8 and 117/w - (1 - 0).
72
Suppose 0 = -10*h + 32 + 58. Find the common denominator of 15/8 and (-245)/(-990) + (-3 - (-26)/h).
88
Let s = 178955/50224 - 2/3139. Let f = -28 + 42. What is the common denominator of s and 273/f*-1*(-5)/6?
16
Let t = -3445/24 + 1173/8. Let f = 1699823/28170 + -13632/313. Let l = f + -179/9. Find the common denominator of l and t.
60
Let v = -2446285/435978 + -2/24221. Calculate the common denominator of v and 92/2070*890/(-16).
36
Let t be (3 - (-3 - -9)) + (-20847)/9. Let q = t + 2339. What is the common denominator of 137/102 and q?
102
Suppose 4*a + 136 = 4*y + 8*a, -136 = -4*y + 3*a. Suppose 0 = y*p + 1011 - 4071. Calculate the lowest common multiple of 81 and p.
810
Let d(k) = -205*k**2 - 4*k + 1. Let u be d(4). Let l = u - -118595/36. What is the common denominator of l and -103/66?
396
Let y be 1/(-2) - (12 - 114/12). Find the common denominator of (-349)/(-96) + 2/(-3) and (-267)/6 - (-9 - -7) - y.
32
Suppose 22*c - 19*c = -753. Let x = -247 - c. What is the smallest common multiple of x and 5?
20
Suppose 2*g - 3*n - 9 = -1, -4*n = 0. Suppose 4437 = -g*z + f, 4*z + 5*f = -0*z - 4431. Let m = z + 3254/3. Find the common denominator of 31/4 and m.
12
Suppose 0 = v - 67 + 71, k = -4*v. Suppose k*p = -637 + 5869. Calculate the lowest common multiple of p and 4.
1308
Let t be 4 - -221*(-286)/20. Let h = -3150 - t. What is the common denominator of h and 19/267?
2670
Suppose -159080 = 162*f - 259*f. Calculate the lowest common multiple of f and 100.
8200
Let b = 1146/5 + -3613/15. What is the common denominator of b and -9/833?
2499
Let q = -132/103 - 7702/1545. Calculate the common denominator of q and -31/69.
345
Let g be (24/9)/(1/(-6)). Let u = -978 - -1002. What is the least common multiple of 99/12*g/(-6) and u?
264
Let t = -266 + 130. Let r(l) = -l**3 + 30*l**2 - 3*l - 31. Let o be r(30). Let q = o - t. What is the least common multiple of q and 15?
15
What is the common denominator of 18/(-1160)*(-4059)/297 and 56/1595?
6380
Let w = -5683/1386 + 118/63. Suppose -f + 11 = 2*t - 5, 0 = 2*f - 8. What is the common denominator of 242/20*(t - 5) and w?
110
Let t be (-12)/2 - (-1 + 1). Let p be (-22)/t + 4/(-6). Suppose -3*i + 0*h = -3*h - 42, -2*i - 3*h = -p. Calculate the lowest common multiple of 5 and i.
45
Calculate the common denominator of -97/2 and ((-93713)/405015 + 1/5)/(4/(-6)).
1742
Suppose 3*w + 255*w = 92*w + 42828. What is the lowest common multiple of 7 and w?
1806
Suppose -16 = 6*o - 8*o. Let s be o/((-16)/(-4)) + 5 + -2. Calculate the common denominator of (-242)/(-60) - s/(10/(-2)) and 89/4.
60
Let a = -360 + 2086. Suppose -1718*l + a*l = 176. What is the lowest common multiple of 10 and l?
110
Suppose 1 = y - 2. Suppose 0 = -153*d + 166*d - 128 + 50. Calculate the least common multiple of y and d.
6
What is the common denominator of 41/12 and (-675)/(-12)*12/(-1860)?
372
Let g = -22536455/11354178 - -2/172033. Calculate the common denominator of g and 89/942.
10362
Let c = 24316 + -18685. Calculate the lowest common multiple of c and 1.
5631
Let f(r) = 27*r - 136. Let h be f(5). Calculate the smallest common multiple of 6/33 - 8/44 - h and 450.
450
Suppose 5*x - x + 3*b - 1250 = 0, 2*x - 3*b = 598. What is the lowest common multiple of x and 35?
1540
Let r = 399177449/1428 + -279536. Find the common denominator of r and -109/308.
15708
Let p be -307*(5 - -1*24). Let k = p - -124753/14. Find the common denominator of 37/4 and k.
28
Let v(m) = m**2 + 2*m - 1. Let b(o) = -2*o**2 - 34*o + 45. Let h(i) = b(i) + 3*v(i). What is the lowest common multiple of (-186)/(-10) + (-3)/5 and h(27)?
90
Suppose 2603*m - 66720 = 2047*m. Let b(h) = 4*h**2 + 3*h + 2. What is the lowest common multiple of m and b(-2)?
120
Let q be (-29)/232 - 4083171/520. Let k = 7852 + q. Calculate the common denominator of k and -55/39.
390
Let d = 3746004/17 + -27978323/68. Let z = -187132 - d. Let l = z + -3981. Find the common denominator of 5/6 and l.
12
Let o be -116*((-15)/6 + (-1 - -4)). Let c = o - -182. Calculate the common denominator of 2 + -4 + (-4)/((-192)/c) and 37/14.
84
Suppose 2*d = -3*v + 124, -5*d + 112 = -0*v + 3*v. Let i = 75 - 87. What is the smallest common multiple of v and 2/(-5)*(26 + i)*-5?
308
Let j = 170684 - 119820217/702. What is the common denominator of j and 65/18?
702
Let n be (-80)/(-12)*1838/24. Let x = 1556/3 - n. What is the common denominator of 70/123 and x?
369
Let z be 788579/172 - 2/(-8). Suppose 9692*o = 9726*o + 155856. Let c = o + z. Find the common denominator of 1/2 and c.
86
Let u(z) = 3*z + 7. Let p be u(-3). Calculate the least common multiple of 174 and (30/(-9))/(p/6).
870
What is the common denominator of 97/50 and 8/56 - (-7 - (-114388)/16030)?
11450
Let g be ((-6)/(-28))/(15/157). Let u = 46/35 - g. Let h = -5493 + 186719/34. Find the common denominator of h and u.
238
Let w(y) = -200*y - 625. What is the lowest common multiple of 20 and w(-4)?
700
Suppose 2*c - 2*a - 272 - 1246 = 0, -4*c + 3045 = 5*a. Suppose c - 3128 = -16*n. Suppose 3*q - 104 - n = 0. What is the smallest common multiple of 22 and q?
924
Calculate the common denominator of 70/177 and (-46800)/3894 - 84/(-7).
1947
Let l be 739*5*(-35)/(-56). Let k = l - 2317. What is the common denominator of k and -79/54?
216
Let m = -217 + 217. Calculate the least common multiple of (5 - (4 + m - 2)) + 0 and 1.
3
Suppose -3*o = 2*o - 460. Suppose -1557 = 227*c - 10637. What is the smallest common multiple of o and c?
920
Suppose -5*j = -3*n + 299, n + 3*j + 97 = 2*n. Let h = -167 + n. Calculate the common denominator of 4/(-8) + h/(-3) and 37/18.
18
Find the common denominator of 34/187*136/(-5472) and 103/2090.
18810
Let s = -296 - -728. Suppose -s + 36 = -12*p. Calculate the common denominator of 27/40 and 1 - (-1 + p/72).
120
Let i = -87589/1064840 - -3/26621. Find the common denominator of -1/20 and i.
280
Let m(q) = -q**2 + 21*q - 38. Let v be m(19). Find the common denominator of v + -5 + (-162)/4 and -115/42.
42
Let t(h) = -4*h**2 - 102*h - 178. Calculate the lowest common multiple of 422 and t(-2).
2110
Let j(g) = 5*g**3 - 2*g + 1. Let s be j(1). Let x be 2426/(-255) - s/30. Let d = x + -19/102. Calculate the common denominator of 71/2 and d.
6
Let i = 123373983377/73875 - 1670037. Let x = -1787783/295500 + i. Find the common denominator of x and 91/110.
220
Suppose -3*a = -4*n + 156, -4*a + 0*a = n + 227. Let v = a + 58. Suppose -49 = -5*b - v*b. What is the lowest common multiple of b and 5?
35
What is the lowest common multiple of (-210)/98*420/(-50) and 669?
4014
Suppose -5*d + 0*s - 115 = 2*s, 4*d + 3*s + 92 = 0. Let c = d + 43. Calculate the least common multiple of c and 72.
360
Suppose 8 = h + 3. Suppose 5*b - 12 = -h*d + d, -d + 3 = -4*b. Calculate the lowest common multiple of d and -1*(-1)/(-3)*-30.
30
Let v(m) = 303*m**2 + 27*m + 161. Let b be v(-6). Let y = -109179/10 + b. Let g = 176123/369204 - -2/8391. Find the common denominator of y and g.
220
Suppose -1150803181 - 125688491 = 9*f. Let h = f + 7943015573/56. Let m = h - 7155. Find the common denominator of 1/18 and m.
504
Calculate the common denominator of 249/54 + 25/(-150) and -44/189.
189
Let w = -390 + 388. What is the common denominator of w/(-10)*(-2325)/270 and -3/118?
1062
Let n(q) = 2*q**3 + 22*q**2 + 41*q - 15. Calculate the smallest common multiple of 50 and n(-7).
450
Let s = 30910 - 556241/18. Let f be (175/(-21))/5 - 2/6. Find the common denominator of s and f/(4/(-412)*-24 + 0).
36
Let v = 2/1347955 - -5045179/16175460. What is the common denominator of v and -123/140?
420
Suppose 15*n - 225 = 285. Find the common denominator of n/27*3