- l. Calculate the lowest common multiple of s and 52.
156
Let m be (5 + -1)/(18/45). Let w be 40/(-16)*(-16)/m. Calculate the common denominator of -95/12 and w/14 - (-705)/(-42).
12
Let u = 31 + -27. Suppose -5*o + 10 = y, o + y = -o + u. What is the lowest common multiple of o and 36?
36
Suppose -4 = -a + 4*k + 38, -2*k = -5*a + 174. What is the common denominator of -26/9 and a?
9
Let l = -2237 - -58259/26. Find the common denominator of 1/4 and l.
52
Let k = -111 + 206. Suppose 0 = v + v - 5*p - 32, -5*p = -5*v + k. What is the lowest common multiple of 30 and v?
210
Suppose 55 = -7*n - 50. Let u = 7 - n. What is the least common multiple of 16 and u?
176
Let t = 1711/259 + 522/37. Let x = -1413/77 + t. Let c = -27263/3535 - 1/505. What is the common denominator of c and x?
77
Let l = -3/9514 - 237541/979942. Calculate the common denominator of l and -41/5.
515
Calculate the common denominator of -27/28 and 1793/(-616) - (-3 + (2 - 3)).
56
Suppose 0 = 11*r - 10*r - 2. Suppose -2 + 18 = r*b. What is the smallest common multiple of b and 68?
136
Let a = -1175/132 - 28/33. Calculate the common denominator of a and -37/162.
324
What is the least common multiple of 10 and (-114782)/(-319) - -2*2/22?
360
Suppose 5*r + 61 = -64. Let c be ((-140)/r)/(3/(-15)). Calculate the common denominator of -21/4 and (27/(-18))/((-5)/c).
20
Let g = 101/159 - -2161/6360. Calculate the common denominator of g and 3/280.
280
Let l = -11/126 + -1606/1449. Calculate the common denominator of l and 250/(-84) + 13/3 + -4.
322
Let c = -516/13 - -36553/728. Let q = 120/7 - c. Find the common denominator of q and -107/20.
40
Suppose -81*a + 871 + 1316 = 0. Calculate the least common multiple of a and 33.
297
What is the common denominator of 145/42 and (-142)/14*(850/120 - 7)?
84
Let d = 1/809 + -10567/40450. What is the common denominator of -17/20 and d?
100
Let t = -2906827/60 - -48446. What is the common denominator of -85/36 and t?
180
Let m = -2356/15 + 768/5. Find the common denominator of m and -33/35.
105
Let m(t) = 5*t**2 + 3*t - 2. Let d be m(1). Suppose 0 = -d*c + 11 + 19. Calculate the smallest common multiple of c and 13.
65
Let z(d) = -42*d + 430. What is the smallest common multiple of 30 and z(10)?
30
Find the common denominator of 452/72 + -9 - (0 - 2) and 68/9.
18
Suppose -2*m - 2*g = -10, -g = m - 4*g - 1. Calculate the lowest common multiple of 32 and m.
32
Let v = -13 - 69. Find the common denominator of -33/2 and (-10)/50*v/(-8).
20
Let d = 632 + -552. What is the lowest common multiple of d and 64?
320
Suppose 10*n + 9 = 11*n - 2*l, 36 = 4*n + l. Calculate the least common multiple of (-2)/4*0 + 8 and n.
72
Let v = -1886 - -37647/20. What is the common denominator of -27/8 and v?
40
Let r = 2013 - 2011. Suppose -3*w = -4*w + 50. What is the least common multiple of w and r?
50
Suppose 0 = 3*g, 0 = p + 3*g - 4*g - 5. Suppose 0 = p*m + 2*r - 7, -5*r = -3*m - 0*m - 2. What is the smallest common multiple of m and 25?
25
Let z(l) = -101*l - 183. Calculate the lowest common multiple of z(-3) and 64.
960
Let m be (3 - 3)*(2 - 3). Suppose 3*i + 5*o - 11 = -m*o, -27 = -i + 3*o. Calculate the lowest common multiple of 32 and i.
96
Suppose -4*x - 115 = -3*l, 3*x = l - 56 + 11. Suppose l + 24 = 4*c + r, 5*r = 5. Find the common denominator of 43/8 and (122/(-42))/((-12)/c).
72
What is the smallest common multiple of 48 and 2961/35*(-90)/(-27)?
2256
Let j = 26165 + -1648333/63. Calculate the common denominator of 46/35 and j.
315
Let p = -19 + 21. Suppose -2*j + 18 = p*q, 55 = 5*j + 3*q + 14. Suppose -5*r - 45 = -5*d, d - 4 = -r + j. Calculate the lowest common multiple of d and 15.
30
Let i(t) = t**3 + 1 + 2 - 43*t**2 + 56*t**2 - 14*t. Let m be i(-14). What is the common denominator of -38/11 and (-12)/m - (-159)/27?
99
Suppose 0 = -2*d - y - y + 1290, 625 = d - 4*y. Let o = d - 5777/9. What is the common denominator of o and 16/13?
117
Let k be 1/((-1039)/(-519) - 2). Let v = k - 1067/2. Calculate the common denominator of v and 143/18.
18
Let m be (2/(-5))/(3/(-30)). Calculate the smallest common multiple of (4/5)/(10/275) and (-26)/(-3) - m/(-3).
110
Suppose -t + 435 = 4*t. Calculate the lowest common multiple of 8 and t.
696
Let o = 100 + -140. Let c = 50 + o. Calculate the smallest common multiple of c and 10.
10
Let o = -146122 - -1166835/8. Let b = 1045/4 + o. Calculate the common denominator of b and -39/8.
8
What is the common denominator of -109/6 and (-20)/6*26/(-208)?
12
Suppose 2*r + 98 = -3*j, 2*j - 2*r = -63 - 19. Let w be 1/(-4) + (-54261)/j. Let x = -21085/14 + w. Calculate the common denominator of x and -37/14.
14
Let n(i) = -i**2 + 27*i + 97. What is the smallest common multiple of n(30) and 123?
861
Suppose 0*p + p - 20 = -2*w, 5*p + 12 = 4*w. Suppose -w*c + 3*c = -105. Let m = c + -11. Calculate the smallest common multiple of m and 10.
10
Let i = -18 + 16. Let n = i - -16. What is the lowest common multiple of n and 28?
28
Suppose 0 = v - 8 - 1. What is the lowest common multiple of 18 and v?
18
Let b = 2 + -2. Suppose -2 = s + 2*q - 1, 5*s + q - 40 = b. What is the lowest common multiple of (-9 + 13)/((-72)/(-28) - 2) and s?
63
Let p = 6 + -15. Find the common denominator of (29/12)/(p/(-8)) and 103/24.
216
Suppose -5*b + 4 = -0*b + j, 0 = -5*b - 4*j + 1. Find the common denominator of b/(-5) + (-954)/(-20) and -45/2.
2
Let i = 634 + -538. What is the lowest common multiple of i and 108?
864
Let k(w) = -2*w**3 - 4*w - 3. Suppose 252 = 2*u + 4*u. What is the least common multiple of k(-2) and u?
42
Let j be (22/(-33))/(4/426). Let b = j + 79. What is the smallest common multiple of b and 6?
24
Let b = -14837/1496 + 8/187. Calculate the common denominator of 145/516 and b.
1032
Suppose 0*c + c - 3 = 0, 3*g + 5*c = -123. Let j = 72 + g. What is the lowest common multiple of 5 and j?
130
Let m(t) = t + 17. Suppose -z = z + 14. Calculate the smallest common multiple of m(z) and 252.
1260
Suppose -7*f - 406 + 49 = 0. Find the common denominator of -125/12 and 1/(-2)*(-1190)/f.
12
Let l = 9 + -5. Let j = 12 + -2. Suppose l*h + 0*h = 4, 0 = -4*c - 2*h + j. Calculate the smallest common multiple of c and 22.
22
Let y be ((-112)/(-184))/(-1 - (-49)/50). Let r = y - -14923/414. Find the common denominator of -41/4 and r.
36
Let z be (3/(-2))/(75/8600). Find the common denominator of (-2)/3*(-295)/(-60) and -2 - z/(-64)*(-1)/(-1).
144
Let j = -39 + 87. Calculate the least common multiple of 2 and j.
48
Let h be ((-2)/4)/((-10)/(-11184)). Suppose 5*i = -3*q - 2823, q + 253 + 310 = -i. Let u = h - i. Calculate the common denominator of -11/8 and u.
40
Suppose 0 = -7*r + 217 - 42. Suppose 9*a - r = -457. Let n(x) = x**3 - 2*x**2 + 2*x + 2. What is the common denominator of n(3) and a?
1
Let h be ((-2)/6)/(2/(-156)). Let y = h - 18. What is the lowest common multiple of y and 0 + 16/(3 - 2)?
16
Let n(v) = -v - 8. Let f(c) = 0 - 9 - 2*c + 0*c + c. Let l(s) = 4*f(s) - 5*n(s). Calculate the least common multiple of 6 and l(4).
24
Let a be (-7 + 12)*4/(-10)*-4. Suppose a*g + 12 - 76 = 0. Calculate the smallest common multiple of g and 9.
72
Suppose 2*p + 2 = 0, 8*d + p - 631 = 4*d. Suppose -10*n = -22 - d. Calculate the lowest common multiple of 23/1 + (-2 - -1) and n.
198
Suppose -16*k + 556 - 76 = 0. What is the lowest common multiple of k and 35?
210
Suppose 0 = -0*p - 2*p + 2. Let d be 80/(-5608)*p/(-8). Let t = d + 211657/25236. Calculate the common denominator of t and -51/14.
126
Let r = -4939073/60 - -82315. Calculate the common denominator of r and 119/60.
60
Let i = 390192 + -35115989/90. Let x = -2143/13545 + 4/1505. Let y = x - i. What is the common denominator of y and 99/14?
14
Let j = -654 - -655. What is the least common multiple of 279 and j?
279
Let f = 12943/5940 + 31/297. Calculate the common denominator of f and -23/4.
60
Let l = -1168094/75 - -15575. Let v = l + 13/25. What is the common denominator of 29/12 and v?
60
Let p(y) be the first derivative of 9*y**4/4 + y**3 - y**2 - y - 2. What is the lowest common multiple of p(1) and 40?
360
Suppose z - 8 = -2*p - 364, -5*p = -10. What is the common denominator of 0 + 5/(z/(-476)) and -151/18?
18
Let v = 1977 - 17759/9. What is the common denominator of v and 3/(-4) - (-3 - 287