of -67/210 and 46/(-299) - 4736/32760.
630
Suppose 374 = -118*u + 120*u - g, 0 = 4*g - 24. What is the lowest common multiple of 28 and u?
2660
Suppose -d = -2*d + 3. Suppose -b + 2 = d*n, 5*n + b + b - 5 = 0. What is the common denominator of (20 + -1)/n*3/12 and -45/8?
8
Let p = -8 - -13. Find the common denominator of 2/(-11) - (-8216)/176 and ((-111)/(-60))/(4/p).
16
Find the common denominator of (436/144)/((-1)/2) and 12 - (-248)/624*-21.
234
Let j = 25457 - 5473238/215. Calculate the common denominator of j and 109/430.
430
Suppose f = -5*r - 3*f + 1268, 5*r + 5*f - 1270 = 0. Calculate the smallest common multiple of 252 and r.
252
Find the common denominator of 1869/(-315) - (-1 - 8) and -38/45.
45
Let f(k) = 156*k + 1250. Calculate the smallest common multiple of f(-8) and 802.
802
Let s be 4/(-4) + -1 - -6. Suppose -s*a + 204 = 4*f, -135 - 68 = -4*a - 5*f. What is the smallest common multiple of (1 + a/(-20))/(4/(-50)) and 22?
220
Suppose 5*o - 4*x = -118, 42 = -3*o - 4*x - 16. Let p be (-4)/22 - 928/o. Calculate the least common multiple of 20 and p/(-70)*(-30)/1.
180
Suppose 2*p = 3*p - 29. Let a(o) = -10 - p - 2*o + 19. Calculate the lowest common multiple of a(-16) and 12.
12
Let o(l) = l**3 + 7*l**2 + 7*l - 8. Let g(h) = h**2 - h - 16. Let m be g(-3). Calculate the lowest common multiple of o(m) and 4.
12
Let d = 649/155 - 55/62. Find the common denominator of d and 18/45 + (-618)/220 + 1.
110
Suppose 0 = 3*q - 3*p - 336, -3*p = -517*q + 521*q - 525. Suppose 3*u - 3 = n - 2*n, 0 = 2*n - 5*u - 50. Calculate the smallest common multiple of n and q.
615
Let z be ((-5 + 3)/2)/(2/744). Find the common denominator of -3/2 and 0 + -1 + z/648.
54
Let d(b) = -17*b**2 + 12*b + 15. Let p be d(-3). What is the smallest common multiple of p*(-8)/(-32)*(-6)/9 and 6?
174
Let i = -33565 - -35437. Calculate the least common multiple of i and 72.
1872
Let l = 1714 + -1676. Suppose -4*i = -5*d + l, -3*i = 4*d - 8*i - 34. Calculate the smallest common multiple of (2 - 0)/1 + 3 and d.
30
Let m = -7 - -8. Calculate the common denominator of (6/(-12) + m)*(-244)/8 and -57/22.
44
Let j be 0/((-1)/(-2*3/12)). Suppose 0 = 5*v - 2*v - 3, b + 5*v - 60 = j. Suppose -6*w + b = -5. Calculate the least common multiple of w and 1.
10
Suppose 18*o - 235 - 1781 = 0. Calculate the least common multiple of 9 and o.
1008
Suppose 0 = 3*f - 3*i + 96, -4*f + 3*i = -0*i + 129. What is the smallest common multiple of ((-22)/f)/(1/27) and 5/((25/(-10))/(-5))?
90
Let c be (3/(-6))/((-4 - -3)/727). Let n(r) = 78*r**2 - 4*r - 3. Let k be n(-2). Let o = c - k. What is the common denominator of o and 81/4?
4
Suppose -5*u - 10814 - 1856 = 5*w, 5*u - 12670 = 5*w. Let j = 20329/8 + w. What is the common denominator of j and 9/4?
8
Let v = 134795 + -217963523/1617. Calculate the common denominator of v and 64/231.
1617
Suppose t - 83 = 57*t - 979. What is the lowest common multiple of 1784 and t?
3568
Let j(h) = 5*h + 2. Let y = -146 + 149. What is the least common multiple of 5 and j(y)?
85
Suppose -5*w + 59 = 14. Suppose -7*u - 2726 = -w*u. Let d = 5497/4 - u. Calculate the common denominator of d and -17/10.
20
Suppose -3*j - 2*h = -72, h - 74 = -5*j + 53. Find the common denominator of -14/9 and (j/1)/(1*200/(-35)).
180
Let p be ((-14)/84*-44)/(1/(-3)). What is the lowest common multiple of 217/6 + p/132 and 64?
576
Suppose 26*g = -35*g + 1952. Calculate the smallest common multiple of g and 48.
96
Let u(s) = 25*s**3 - 4*s**2 + 181*s - 748. Calculate the least common multiple of 1344 and u(4).
12096
Find the common denominator of (42/(-45))/((-6)/20) and ((-450)/108)/((-58)/6).
522
Let v(u) = 8*u + 12*u - 9*u - 15 + 11*u. Calculate the least common multiple of v(1) and 135.
945
Suppose -4*n + 180 - 156 = 0, 0 = 2*s + 3*n - 3006. What is the lowest common multiple of s and 54?
4482
What is the common denominator of -57/112 and 207/5382*178/4?
1456
Let m = 1367 + -1341. What is the least common multiple of 260 and m?
260
Suppose -5*u + 19 + 41 = 0. Let f = -957 + 1321. Let i = f + -348. What is the smallest common multiple of i and u?
48
Suppose -4*p = -239 - 85. Let d = -77 + p. Suppose 4*z - d*h - 24 + 8 = 0, -5*z + 18 = -3*h. Calculate the least common multiple of 22 and z.
66
Let l(t) = -24*t**3 + 3*t**2 - 2*t - 6. Let s be l(-2). Suppose 14 + s = 4*o. Suppose 444 - 48 = 18*v. Calculate the lowest common multiple of v and o.
594
Suppose 0 = -9*z - 594 - 558. Find the common denominator of 26/9*32/z and -133/54.
54
Let f = 13 + -9. Suppose f*c = 3*u - 0*u + 15, -3*c + 8 = u. Suppose 35 = c*l - 1. What is the smallest common multiple of l and 9?
36
Let q be (4 - (-34482)/(-51)) + 5. Let d = -667 - q. What is the common denominator of 26/63 and d?
1071
What is the least common multiple of 6 and (46/(-4))/(28/(-2016)) + 9?
1674
Let i = -4441 + 4457. What is the lowest common multiple of i and 144?
144
Let d be (-6315)/40*(-2)/(-177). Let b = d - -2/59. Find the common denominator of b and (-17595)/(-4920) - (-10)/205.
8
Suppose i + 1001 = 7471. Calculate the least common multiple of 20 and i.
12940
Suppose 133 = w - 84. Suppose w*o - 218*o = -6. What is the least common multiple of o and 6/4*(-6)/(-9)?
6
Let s = 281 - 287. Let r(q) = 2*q**2 + 29*q + 124. What is the least common multiple of r(s) and 112?
1232
Suppose -414 = -3*q + 4*y, -4*q + 3*y + y + 552 = 0. Calculate the smallest common multiple of 19 - (-12 + -23) - 36 and q.
414
Suppose 24*y = -0*y + 3144. Suppose 84 = y*k - 129*k. Suppose 5 = -2*j - 4*r - 3, 4*j + 3*r - 4 = 0. What is the lowest common multiple of j and k?
84
Let h(i) = -6*i - 256. Calculate the smallest common multiple of 40 and h(-54).
680
Let s be 44/(-22) - (0 + 214059/(-28)). Let k = -7641 + s. Calculate the common denominator of 115/28 and k.
28
Let m(f) = f**2 - 4*f - 21. Let a be m(11). What is the common denominator of ((-58)/a)/(-1*(-11)/66) and -75/154?
154
Suppose 44*j = 41*j + 1074. Let r = j - 209. What is the least common multiple of r and 3?
447
Suppose 8*w - 1033 + 121 = 0. Calculate the least common multiple of w and 10.
570
Calculate the least common multiple of 496 and -18*(-42)/45*(-220)/(-33).
3472
Let b(v) = 17*v + 74. What is the lowest common multiple of 484 and b(6)?
1936
Calculate the common denominator of -47/30 and (40850/(-513))/(-5) + -16.
270
Let z = 69/22 - -1/11. Find the common denominator of z and 127/1320.
1320
Let f = -164533 - -17769437/108. Let h = -2/831 + -2279/12188. Find the common denominator of h and f.
1188
Suppose 1123*g - 884*g = 4302. What is the smallest common multiple of g and 5182?
46638
Let k(n) = n**3 + 16*n**2 + 18*n - 25. Let b be k(-14). What is the common denominator of (-4)/(-80)*b/2 and -99/598?
2392
Let m(d) = -1131*d**2 - 5*d - 22. Let y be m(-9). Let c = 11906367/130 + y. Find the common denominator of c and -42/55.
1430
Suppose 0 = 9*b + 850 + 212. Let m = 140 + b. Suppose -m*k + 16*k + 48 = 0. Calculate the least common multiple of k and 10.
40
Calculate the smallest common multiple of 1144 and (8 - -30*24)/2.
8008
Let u(a) = a**3 + 13*a**2 + 16*a + 92. Let k be u(-12). Calculate the common denominator of -19/39 and k - (0 + 1)*7.
39
Let n be 24/(-8) + (0 + 9 - 2). Suppose 0 = -n*p + 3*x + 135, 2*x = p - 3*x - 21. Calculate the smallest common multiple of p and 54.
108
Let x = 1112089/870 + 683/435. Let o = -1283 + x. Find the common denominator of o and -39/10.
30
Let b = -21 + 39. Suppose 0 = d - 4*d + b. Let l(x) = 3*x**2 + 15*x + 2. Calculate the smallest common multiple of l(-6) and d.
60
Let c(h) = -h**3 - 4*h**2 + 8*h + 4. Suppose 0 = -80*q - 42*q + 854. Calculate the least common multiple of q and c(-6).
28
Let m(j) = -2*j**2 + 26*j - 1. Let d be m(12). Let u = d - 52. What is the common denominator of (-11 - -13)*u/(-30) and 103/30?
30
Let m(k) = -k**3 - 10*k**2 - 4*k + 2. Let f be m(-10). Let g = f + -40. Find the common denominator of (4/g)/((-180)/819) and 1/30.
30
Let m be (-4 - (-3 + 1)) + (-9867)/(-816). Let w = m + -162/17. Find the common denominator of w and 627/76*20/42.
112
Let x = 122 - 207. Let c = x + 101. Let n = -4 + c. Calculate the lowest common multiple of n and 18.
36
Let a = 3/12161 - -448697/5107620. Calculate the common denominator of a and 73/63.
1260
