- 65. Let g = x + 33. Calculate the lowest common multiple of 4 and g.
20
Let z = -2063003/11312310 - -1/66543. What is the common denominator of z and 139/102?
510
Find the common denominator of ((-2)/20)/((-3)/(-316)*-2) and 65/48.
240
Let l = -750/7 - -3772/35. Let d = 201741/68530 + 41/979. Let x = d - l. Calculate the common denominator of x and 17/4.
28
Let c = -16348/519 - 1/1038. What is the common denominator of c and 4/14 + (1514/(-56) - -4)?
4
Calculate the common denominator of (-3)/2*-2 + 111/(-6) and ((-10)/90)/(4*-1).
36
Let j be (-158)/(-13) + (-4)/26. Suppose 4*z = -x - 3 + j, 0 = 2*x - 10. Suppose z = -a + 4. Calculate the lowest common multiple of a and 3.
3
Let i(f) = f**2 + 19*f + 70. Calculate the smallest common multiple of i(-3) and 242.
242
Let q be (-77)/22 - 2/4. Find the common denominator of 69/40 and -2 - 14/q*(-280)/(-1100).
440
Let x = -24 + 6. Let r = -4 - x. What is the smallest common multiple of r and 20?
140
Suppose -19*x = -97 - 359. What is the smallest common multiple of 44 and x?
264
Let j = 4041/8 - 504. Let t(v) = -208*v + 23. Let c be t(8). What is the common denominator of 2/(-14) + c/126 and j?
24
Let z be 7416431/(-770) - 2/10. Let w = z + 9636. What is the common denominator of 1029/240 + (-6)/(-15) and w?
112
Let b = -126 + 137. Calculate the lowest common multiple of b and 28.
308
Let i(h) = -134*h - 10. Let f be i(4). Let c = 1697/3 + f. Find the common denominator of 61/6 and c.
6
Let d = -12968 + 207561/16. What is the common denominator of d and -29/94?
752
Calculate the common denominator of -63/20 and ((-756)/(-304))/(-9)*(-130)/(-15).
380
Let k(m) = m - 2. Suppose 0 = 3*w - 2*w - 6. Let i(c) = -c**2 - 15*c - 10. What is the smallest common multiple of i(-13) and k(w)?
16
Let i = 23 + 16. What is the smallest common multiple of i and 6?
78
Let l = 26279/8408 + -1/2102. Let p = -522262247/126 + 4144851. Let i = p + 650/7. Calculate the common denominator of l and i.
72
Suppose 2*c + 4*i - 12 = 0, 0*c + 3*c = 4*i + 8. Suppose c*h + 7 = 5*h. Calculate the common denominator of 41/9 and (-10)/2*h/14.
18
Let v = 412081/53370 + 3/2965. Let k = 11 + -18. Calculate the common denominator of v and ((k + 3)/(-32))/(2/(-85)).
144
Let p = 28/141 + 1009/47. Find the common denominator of p and 8/168*3 - -4.
21
Let i = 101 - 91. What is the least common multiple of 214 and i?
1070
Let s = -5175/3377 - 4/307. Let h = 7 - -233. What is the common denominator of 896/h - (-4)/(-10) and s?
33
Suppose -2*a + 24 = 5*y, 23 = 5*y + 4*a - 5. Suppose -10*p = -7*p + 4*r - 24, -2*p + 27 = -r. Calculate the lowest common multiple of y and p.
12
Let c be -2674 + -2*1/2. Let u = c - -42839/16. Calculate the common denominator of u and -3 - ((-74)/28 + -5).
112
Let x(b) = -8*b**2 + 22*b - 20. Let y be x(-10). Let g = 2141/2 + y. Calculate the common denominator of -55/4 and g.
4
Suppose -2*x + 16 = -4*i, 3*i = 2*i + 2*x - 4. Let t = i - -6. Find the common denominator of -65/3 and (-267)/27 + 4/t.
9
Let l = 2247 - 1787. What is the least common multiple of l and 506?
5060
Suppose -3 = -2*t + 1. Calculate the common denominator of (-8)/(-18)*-8 + -1 and (-33)/(-6)*t/(-2).
18
Let n be (8212/54)/((-9)/(24516/(-16))). Let t = -25899 + n. Find the common denominator of -43/3 and t.
18
Let f = -538 - -796. Suppose 6*b - 3*b - f = -3*a, a = 5*b - 454. Calculate the least common multiple of 18 and b.
90
Let z be ((-13)/(-22))/(-3 + (-16906)/(-5636)). Let k = z + 1664. Let c = 2/655 - 81887/3930. Calculate the common denominator of k and c.
66
Let g = 58 + -61. Let n(h) = h**2 + h + 4. Calculate the least common multiple of n(g) and 15.
30
Let d = 180 + -178. Calculate the smallest common multiple of d and 20.
20
Let t = 4076/7 + -64943/112. Let j be 3 - (1 + (-455583)/(-42)). Let i = 10850 + j. What is the common denominator of t and i?
112
Suppose 3*f + 3*t = 108 + 12, 4*f - t = 165. Find the common denominator of (-3)/f*135/10 and 89/20.
820
Let d(s) = -s**3 + 11*s**2 + 2*s - 45. What is the lowest common multiple of 27 and d(6)?
1323
Let d(x) = -x**3 + 7*x**2 + 6*x + 8. Let p be d(8). Find the common denominator of 404/264 - p/(-12) and -43/4.
44
Suppose -4*d + 2*n = -62, -n = -5*d + n + 78. What is the least common multiple of 56 and d?
112
What is the least common multiple of 112/(-6)*((-96)/28 - 12) and 3?
288
Let n be 2262814/1540 + (-39)/65. Let r = -10316/7 + n. Calculate the common denominator of r and (-1)/4*38/(-11).
22
Suppose -115 = -4*d - 85*r + 88*r, -2*r = 5*d - 138. Calculate the lowest common multiple of d and 56.
56
Suppose 0*u - 2 = 2*u. Let v be (54/24)/(u/(-4)). Find the common denominator of 20 and 13/4*15/v.
12
Find the common denominator of 37/8 and 279/(-50)*(-60)/(-288).
80
Suppose 0 = -932*p + 917*p + 1560. Calculate the smallest common multiple of p and 12.
312
Let j(q) be the second derivative of -10*q**3/3 - 6*q**2 + 6*q. Let i be j(12). Find the common denominator of -44/9 and (-712)/i + (-4)/(-14).
9
Let c be ((-40)/14)/(7/(-4 + -52)). Let k = -1038/35 + c. Find the common denominator of k and 57/7.
35
Suppose -5*s - 3*l + 6*l = -4, -5*s - 5*l = -20. What is the lowest common multiple of 24/((63/6)/7) and 2 - (-2 + s + 0)?
16
Let f(y) = y**2 + 14*y + 52. Calculate the lowest common multiple of f(-17) and 10.
1030
Suppose 0 = 4*a - 10*a + 708. Calculate the smallest common multiple of 14 and a.
826
Let t = -36 - -43. Suppose 2*f - 1904 - 1804 = 0. What is the common denominator of 115/6 and (-2)/t - f/420?
30
Let q = -8 - 13. Let v be (-175)/q*(2 + 1). Let c = -19 + v. Calculate the lowest common multiple of c and 6.
6
Let j(i) = -2*i**3 - 2*i**2 - i + 1. Let b(l) = -l**3 + 1. Let o(m) = -b(m) - j(m). What is the lowest common multiple of o(1) and 6?
12
Suppose 5 = -c - 4*i, 0*c + c = -i + 4. Let n = 3 + c. What is the common denominator of 56/11 and n/(-60) - 110/(-84)?
77
Calculate the common denominator of -1 + 7 - 289/57 and -115/6.
114
Let v = 5131/4 + -1262. What is the common denominator of v and 97/28?
28
Suppose 0 = 4*v - 4*t - 80, v + 5*t - t = 10. Let k = 20 - v. Calculate the smallest common multiple of k and 20.
20
What is the smallest common multiple of 22 and (-31)/(279/(-756)) - -4?
88
What is the common denominator of (-12)/3*1 + 33/12 and (22/310)/(26/(-65))?
124
What is the common denominator of 137/78 and -4 + 53/13 + (-25755)/(-2340)?
156
Suppose 13*r = 15*r. Suppose -2*j + 5*u - 1 = -r, -5*u = 4*j - 73. What is the least common multiple of 14 and j?
84
What is the common denominator of 6/(-1)*6/88 and 148/264 - (-14)/(-42)?
22
Let n = 29 + -17. Let o = -12289/182 - -810/13. Calculate the common denominator of o and 2/n + (-217)/105.
70
Let r = 22371/4 - 55009/10. Let h be (-3)/(-15)*6/((-24)/1828). Let z = r + h. Find the common denominator of -59/22 and z.
220
Find the common denominator of (-659)/92 - 32/368 and 1 + -1 + (-134)/36.
36
Calculate the common denominator of 41/10 and (2/48)/(792/201 - 4).
480
Let d be (-5)/((-70)/4) + 6632/(-182). Let k = -269/26 + d. What is the common denominator of 93/22 and k?
22
Let o(g) = -g - 2. Suppose -3*p + 6*p + 6 = 0. Let q be o(p). Suppose q*x - 2*x + 22 = 0. What is the least common multiple of 10 and x?
110
Suppose -l = -0*l + 5*n + 2, -3*l - 3*n = -42. Calculate the common denominator of 132/(l/3)*(-1)/(-30) and 47/12.
60
Let f(v) = -3*v + 20. Let c be f(7). Let h be (11 - 7)*c/(-2). Suppose -4*r = 2*o - o - 47, -7 = -h*r + 5*o. Calculate the lowest common multiple of r and 1.
11
Let h = -448 - -496. What is the lowest common multiple of 144 and h?
144
Suppose 0 = -0*w - 3*w + 5*b + 29, 19 = 2*w - 3*b. Let x = 18 - w. What is the smallest common multiple of x and 8?
40
Let c(i) be the third derivative of i**6/120 + 7*i**5/60 + 5*i**4/12 + i**3/6 + 5*i**2. Let t(h) = 4*h - 6. What is the least common multiple of c(-4) and t(4)?
90
What is the least common multiple of 18 and (-2)/7*3/6*-714?
306
Let h be 3/5*(1 - -9). Let p = 6 + h. Suppose 7*l = p*l - 40. Calculate the lowest common multiple of 9 and l.
72
Let u(q) = 8*q**2 - 8*q + 84. What is the smallest common multiple of u(6) and 14?
2268
Let z(d) = -6*d. Let f(s) = 1. Let y(b) = -2*f(b) - z(b). Let t be y(1). Suppose 2*g + t = 20. Calculate the lowest common multiple