.
2970
Calculate the common denominator of -68/27 and 15/(-9)*(-82)/(-230).
621
Let v = -3 + 15. What is the least common multiple of v and -6*(-12*(-3)/(-6) + 5)?
12
Let v = -45 - -58. Suppose 2*y + 13 = 57. Let a = y - v. What is the smallest common multiple of a and 10?
90
Let c = -265/68 + 11/17. Suppose -2*i + w + 4*w = 29, -2*i - 37 = 3*w. Calculate the common denominator of c and ((-2)/(-16))/(i/(-1343)).
8
Let k = 287 - 227. Calculate the least common multiple of 36 and k.
180
What is the common denominator of -59/20 and ((-24)/352)/((-5)/(-4))?
220
Let d be (17499/5590)/(288/(-224)). Let s = 4/2795 + d. Calculate the common denominator of s and -53/10.
30
Suppose 0 = 4*l - l - 351. What is the common denominator of (-303)/30 - 133/(-76)*4 and l/28 + (-1)/(-4)?
70
Let s = 27/7 - 65/14. What is the common denominator of (-3)/(-2)*10/6 and s?
14
Calculate the common denominator of 19/3 and (55/2 - 6) + -2.
6
Let u(p) = 2*p**3 + 9*p**2 + 4*p + 5. Let z be u(-4). Suppose -2*m = z*x - 17, -5*x + m + 19 = -2*x. Calculate the smallest common multiple of x and 7.
35
Let k = -26969/12 - -2243. Let o be 9344/48*(-61 + 1). Let s = o + 210383/18. Find the common denominator of s and k.
36
Calculate the common denominator of ((-2)/(-2170))/(32/80)*-37 and -117/434.
434
Let b = 70/3 + -2489/105. Calculate the common denominator of -97/30 and b.
210
Let w be 4 - (12/4 - 4). Suppose 4*o + t - 2 = 2, w*o = t + 14. Calculate the lowest common multiple of o and 110/9 - (-4)/(-18).
12
Let t = -7746745/304 - -25483. What is the common denominator of 143/114 and t?
912
Let l = -6 + 12. Suppose 12 - 72 = -l*p. What is the least common multiple of 8 and p?
40
Let l = 56161/12100 - 441/100. Find the common denominator of 7/9 and l.
1089
Let f be (-13 + 7)/((-80)/(-413002)). Let v = f - -30969. Calculate the common denominator of v and 23/18.
180
Calculate the common denominator of 20/11 and 686/63 + -3 + -5.
99
Let l = 32439 - 2108592/65. Find the common denominator of 52/9 and l.
585
Let t(l) = -4*l**2 + 5. Let q(r) = 4*r**2 - 6. Let b(z) = -5*q(z) - 6*t(z). Let c be b(1). Calculate the common denominator of 49/11 and c - (74/(-7))/(-1).
77
Suppose 4*k = 2*g - 120, 5*g + k = 4*g + 66. Calculate the smallest common multiple of 16 and g.
64
Suppose 2*y - y - 3*y + 48 = 0. What is the least common multiple of y and (5 - -1)/((-1)/(-3))?
72
Let n be 5 + -4 + (2/(-1) - -9). Suppose n*k + 86 = -306. Find the common denominator of -26 and k.
1
Let r(s) = 7*s + 1. Calculate the least common multiple of r(7) and 87 - 75 - (-30 - -2).
200
Let w(p) = 3*p**3 - 2*p**2 + 1. Let b be w(1). Let x = 20 + b. Suppose -2*m = -x + 110. Calculate the common denominator of m and 27/7.
7
Let p(m) = m**2 - 13*m - 38. Calculate the lowest common multiple of p(17) and 42.
210
Suppose -581 = 6*f - 629. What is the smallest common multiple of f and 43?
344
Let g be -6 + 5 - -6*3. Suppose p - 19 = 5*y + 2*p, -p + g = -4*y. Calculate the common denominator of -95/4 and 2054/924 - y/22.
84
Let t = 17 + -12. Calculate the lowest common multiple of (-1 - 6) + ((-25)/(-5) - -10) and t.
40
Suppose 4*u - 44 = 2*g + 2*g, 0 = -5*g - 20. Let z be (-32)/(-112)*u/2. What is the lowest common multiple of z - 1/(-1)*19 and 4?
20
Let a(m) = -2*m**2 + 6*m - 6. Let b be a(6). Calculate the common denominator of 149/18 and b/(-30)*(-75)/(-12).
36
What is the common denominator of -121/260 and 6119/15834 + (-2)/14?
780
Suppose k = -2*s + 4 - 0, -4*s + k = -8. Suppose -50 = -s*p - 6. What is the smallest common multiple of p and 16?
176
Let g(t) be the second derivative of -t**3/3 - 7*t**2 - 7*t. What is the least common multiple of 7 and g(-11)?
56
Let y(t) = 58*t - 5. Suppose 0 = 3*i + 5*a - 20, 17 = 2*i + i + 2*a. Let k be y(i). Calculate the common denominator of (k/9)/(66/(-9)) and -29/20.
220
Let m(s) = s**2 + 41*s - 30. Suppose 0*g - 2*g = -32. What is the least common multiple of m(-42) and g?
48
Let j = -1798 + 62987/35. Find the common denominator of j and 101/28.
140
Let m(t) = t**2 - 6*t - 6. Calculate the lowest common multiple of 21 and m(-1).
21
Suppose 0 = -26*i - 9*i + 2240. What is the least common multiple of 4/(-3)*(-18)/4 and i?
192
Let t = -99836953339/1738 - -57443548. Let g be 3/(33*-3)*12/316. Let j = t - g. What is the common denominator of 55/2 and j?
2
Let p = -19/332 - 203331/332. Let d = -628 - p. Calculate the common denominator of -109/18 and d.
18
Let a = -29 + 32. Suppose 0*w + a*w - 33 = 0. Suppose -2*b + w = -17. What is the lowest common multiple of b and 6?
42
Let n = 13823/1590 + 1/159. Let r = 6147 - 67572/11. Calculate the common denominator of n and r.
110
Let h = 392 - 386. Calculate the least common multiple of h and 58.
174
Let k = -9/421 + -12851/29049. Find the common denominator of 41/10 and k.
690
Suppose -f = 3*u + 2*u - 29, 3*f + u - 31 = 0. Calculate the lowest common multiple of 4 and f.
36
Let k = 15 + -11. Suppose -k*b + 2*a + 4 = 86, 4*a - 49 = 3*b. Calculate the common denominator of (-1)/(-2)*b/(-2) and -25/18.
36
Find the common denominator of ((-3)/(-4))/(2/(-31)) and ((-30)/440)/(-4*6/(-688)).
88
Let l = -426736348568465/18747 - -22762913996. Let x = 2/2083 + l. Find the common denominator of x and 13/10.
90
Let n = 4961/10 + -497. Let a = 6750 - 134877/20. Calculate the common denominator of a and n.
20
Suppose 442 = -4*u - 2*a, -5*a + 325 = -2*u - u. Let n = u + 1985/18. Calculate the common denominator of n and -11/18.
18
Suppose 3*m = -3*t + 5*m + 264, -347 = -4*t + m. Suppose 2*q + 0*h - 38 = 2*h, -5*q = -2*h - t. What is the lowest common multiple of -2 - (-2 + 1) - -21 and q?
80
Let o = 127/239 - 21811/17208. Calculate the common denominator of -107/80 and o.
720
Calculate the common denominator of -79/72 and (-8 - 254/(-24))/(2/(-3)).
72
Let o(v) = -39*v**2 - v - 4. Let a be o(-11). Let g = -98974/21 - a. What is the common denominator of g and 31/9?
63
Suppose -40 = f - 6*f. Suppose u + 4*w = 40, -3*u + 1 = 126*w - 131*w. Calculate the smallest common multiple of f and u.
24
Let h = -5 - 17. Let c = 24 + -19. Calculate the common denominator of h and (1/c)/((-8)/(-1740)).
2
Suppose -4*h + 5*h + 3 = 0. Let o be (3 + h)*(-1 - -2). Let c = 2 + o. What is the least common multiple of 11 and c?
22
What is the common denominator of 872/(-288) + 45/9 and -23/16?
144
Let y = -8 + 11. Suppose 2*f - 200 = -5*g, -y*f + 120 = -g + 4*g. Suppose 5*x = -q + g, -3*x + 29 = 2*q + 12. What is the smallest common multiple of 9 and x?
9
Let u = -124156834415715/4424224 + 28062963. Let j = u - -401114526583/22121120. Let b = -18128 + j. What is the common denominator of b and 103/22?
220
Let z = 29 + -21. Suppose 2*y = -0*y + 2*p + z, y + 3*p = -8. Find the common denominator of ((-45)/42)/y*2 and 43/6.
42
Let n(a) = 16*a**2 - 5*a + 8. Calculate the smallest common multiple of n(2) and 4.
124
Suppose 102*y - 97*y - 4*o - 48 = 0, -8 = 4*o. Let z = -13 - -24. What is the lowest common multiple of z and y?
88
Let q = -39 - -39. Suppose -3*k + 2*t + 46 = q, 3*t = t + 8. What is the least common multiple of k and 11?
198
Let d = -10/91 - -1850/273. Let a = 6/115 - -648/805. What is the common denominator of a and d?
21
Suppose 2*j + 0*n = -2*n + 64, 0 = -2*j + n + 58. What is the smallest common multiple of j and 6?
30
Let s(m) = m**2 - 2*m - 4. Let k(c) = c**3 - 14*c**2 + 14*c - 9. Let g be k(13). What is the lowest common multiple of 8 and s(g)?
8
Suppose 0 = -6*l - 2 - 4. Suppose -4*v = 14 + 2. What is the common denominator of -1/22 and ((-1)/v)/(l/61)?
44
What is the common denominator of 55/9 and 5/8*(108/(-63) + 2)?
252
Let w = 2/44840005 + -5230452063283/1076160120. Let p = w - -4856. What is the common denominator of -51/4 and p?
24
Let z = -2439898/81 + 30123. Find the common denominator of -70/81 and z.
81
Suppose -m + 52 = 2*x, -4*x - 10*m + 102 = -9*m. Calculate the lowest common multiple of x and 16.
400
Let g = -78 + 80. Find the common denominator of 7 and g*2/(-2)*(-2)/120.
30
Suppose -4*z + t + 227 = -0*z, -4*z = 3*t - 231. Calculate the common denominator of -59/9 and z/18 - 5/(-15).
18
Calculate the smallest common multiple of 16 and -5 + (12/(-10))/(36/(-1350)).
80
Let u = -1/489 - 10267/978. Let l be (-60)/(-28) - (-12)/(-84). Find the co