t v = -256 + 262. Calculate the smallest common multiple of v and 21.
42
What is the common denominator of 22/29 and (-1 + 1 + 1)*(-1360)/11600?
145
Suppose 66*g - 1441 = -253. What is the least common multiple of g and 8 + 2 - (1 - 0)?
18
What is the common denominator of (24/64)/((-75)/580) and 41/24?
120
Let o = -62 + 8. What is the common denominator of -109/10 and (-16)/6 + -3*(-3)/o?
30
Let o(h) = -h**3 - 7*h**2 + 3*h + 12. Let v be ((-72)/(-45))/(2/(-10)). Calculate the least common multiple of o(v) and 14.
364
Let x be (1*-4)/((-6)/76191). Let c = -36062 + x. Let t = c + -176683/12. Calculate the common denominator of t and -89/18.
36
Suppose -z = 5*i, 4*z - 22 = -0*i + 2*i. Let a = z - 3. Suppose -a*v = 4*v - 12. Calculate the lowest common multiple of 4 and v.
4
Suppose -5*i = -2*d - 135, -6*d = -4*d + 10. What is the smallest common multiple of i and 15?
75
Suppose 0*h - 4*h = -32. Let x(o) = o**3 - 7*o**2 + o - 5. Let f be x(7). Suppose 4*m = -f*m + 54. Calculate the lowest common multiple of m and h.
72
Let q = 1297 + -9103/7. Let x = -22537/3864 - 1/1288. Find the common denominator of x and q.
42
Let l(w) = 6*w**2 - 12. Let r be l(-6). Calculate the common denominator of (r/35 + -6)/((-4)/125) and 19/22.
154
Let l be 1/(-2)*2814/12. Let w be (46/3)/(8/(-60)). Let t = l - w. Calculate the common denominator of t and -45.
4
Let k = 184099/56910 - 3/1897. What is the common denominator of k and -107/720?
720
What is the common denominator of 5/(-15)*(60/(-32) - -6) and 21/131?
1048
Let z(x) = 4*x - 13. Let d be z(4). Suppose 3*t = -2*t + 4*c + 120, -15 = d*c. What is the lowest common multiple of t and 8?
40
Find the common denominator of 6/70*975/27 and 71/237.
1659
Let p(c) = 3*c**2 - 2*c - 1. Let x be p(-3). What is the common denominator of ((-37840)/(-180))/(-11) - -17 and ((-2)/(-22))/(1/x)?
99
Let p(b) = 22*b + 604. Calculate the smallest common multiple of p(-27) and 195.
390
Suppose -5*i - 21 = 2*h - 0*h, 4*i + 4 = 0. Let m(c) = -c**2 - 8*c + 18. What is the lowest common multiple of m(h) and 15?
90
Let r(j) = -56*j + 8. Suppose -4*x + x + 15 = 0, 5*d + 10 = -5*x. Let k be r(d). Calculate the smallest common multiple of 10 and ((-6)/(-4))/(30/k).
20
Let k = -86059 + 13167104/153. Find the common denominator of k and 109/12.
612
Suppose -t = 3*l + 161, 0 = t - 1 + 3. Let v = l + 55. Calculate the lowest common multiple of 98 and v.
98
Suppose -2*v + 24 = 5*h - 3, -5*h - 9 = -4*v. Suppose -2*n + v = r, 3*n - 6 = 6*n. Let o = -42 + 60. What is the least common multiple of o and r?
90
Suppose 0*s = -12*s + 24. Suppose -5*d + 41 = -4. What is the smallest common multiple of d + (-2)/((-6)/(-3)) and s?
8
Suppose v = 85 - 29. Suppose 2*a = 7*a + 160. Calculate the common denominator of (-4)/a - 331/v and 17/3.
42
Suppose -s + 5 = 3*b, -3*s - 2*b + 5 - 4 = 0. What is the common denominator of s + (-3)/(-18)*59 and -10/33?
66
Let g be (4 - 2)/((-20)/(-6)). Let a = g - 27/70. Let i = 759/2 - 341. Calculate the common denominator of i and a.
14
Suppose -n + 2*s = -2*s - 12, -5*n + 60 = 2*s. Calculate the smallest common multiple of 864 and n.
864
Let q be ((-3)/(-2))/((-10)/3952*10). Let c = 5393/100 + q. Find the common denominator of c and -61/28.
140
Suppose 5*d = -0*d - v + 19, -4*d + 5*v - 8 = 0. Suppose -45 = -3*y + d*t, -2*y + 2*t = 2*y - 62. Calculate the smallest common multiple of 68 and y.
272
Suppose q - 5*z - 15 = 0, 3*q - 4*z + 7*z = 9. Let t be (-15595)/(-30) + (q - 2). Let r = t - 518. Calculate the common denominator of 101/4 and r.
12
Let y = -3/211 + 1094/2743. Calculate the common denominator of 7 - 7 - (-1)/3 and y.
39
Let v(z) = -5*z**3 - z**2 + 4*z + 6. Let a be v(-3). Find the common denominator of (-5)/((-40)/(-2)) - (-566)/a and 43/24.
120
What is the common denominator of (-30)/(-160)*(-498)/9 and (27/(-24))/(2/(-14))?
8
Suppose 3*f - 7*f - 8 = 0. Find the common denominator of 17/6 and -3 + ((-292)/(-32) - f).
24
Let s(t) = -3*t**2 + 41*t - 42. What is the lowest common multiple of 99 and s(12)?
198
Suppose 0*l + 2*l - 18 = 0. Suppose 4*q + 16 = -2*k, -2 = -k + 3*q - 0. Calculate the smallest common multiple of k/(-8)*(0 + 14) and l.
63
Let z = -22 + 66. Suppose -6*s = -2*s - z. Calculate the least common multiple of s and 8/((0 + 1)*1).
88
Calculate the least common multiple of (-15)/(-20)*-1*(-2 + -2) and 5.
15
Let r(m) = 8*m**2 + m + 2. Suppose 30*k = 578 + 82. Calculate the smallest common multiple of r(-2) and k.
352
Let z be 8 + -10 + (-11013)/(-286). Let l be (-8)/2 + (-1713)/(-429). Let j = l + z. Calculate the common denominator of j and -75/14.
14
Let d = -8015/664 + 37/83. Find the common denominator of d and 25/9.
72
Suppose 96 = 5*t + t. Let u be 120308/(-12)*(-6)/t. Let s = u + -3754. Find the common denominator of 46/11 and s.
88
Let p(g) = -g**2 + 4*g + 3. Let d be p(4). Suppose -9 = -4*q - 1. Suppose q*m - d*m = -9. What is the lowest common multiple of 6 and m?
18
Suppose -w + 84 = 2*w + 5*v, -36 = -w + v. What is the common denominator of (2/(-2))/w*6/(-4) and -9/10?
110
Let w = 33075 + -1819183/55. Calculate the common denominator of -3/20 and w.
220
Suppose 3*d = -0 - 3. Calculate the common denominator of -89/20 and d/((-4)/(-10) - (-568)/(-2420)).
20
Suppose 282 = -54*i + 48*i. Find the common denominator of 55/8 and i.
8
Suppose 82 = 3*q - 2*h, -145*h + 34 = q - 147*h. Calculate the lowest common multiple of q and 12.
24
Let t = -18 - -8. Find the common denominator of ((-58)/((-6)/3))/t and -95/2.
10
Let l be (3 + -4)*-1*-18. What is the smallest common multiple of 2 + 318/27 - 4/l and 2?
14
Let c(l) = l**3 - 10*l**2 - 10*l. Suppose -3*d = 3*p - 30, 4*p + d + 2*d = 41. Let m = -607 - -632. Calculate the least common multiple of c(p) and m.
275
Let d = 22 + 32. Calculate the lowest common multiple of d and 6.
54
Calculate the common denominator of 29/42 and (-210)/700*(-1 - (-318)/117).
2730
Let a = 9 + -5. Calculate the least common multiple of 6 and (-3)/a - (-44)/16.
6
Suppose 12 = 2*p - 3*p + 3*d, -p = 4*d - 16. Let c = -4 - -6. Suppose i + 0*j = -2*j + 20, p = -c*i - j + 40. Calculate the lowest common multiple of 6 and i.
60
Let h = 6/2725 - -177053/32700. Let y = 66 + -45. Calculate the common denominator of h and -2 + y/(-30) + -1.
60
What is the smallest common multiple of 64/((24 - 12)/24) and 80?
640
What is the common denominator of 61/245 and 1/((-98)/152 + 126/168)?
490
Let k be (-1546)/14 - (10/(-7) + 1). Calculate the common denominator of (k/(-52) - 0)*-2 and 21/2.
26
Let u = 37/84 + -747/308. Let r = 71213/7770 + 2/1295. What is the common denominator of u and r?
66
Suppose -14*a - 589 = -2157. Calculate the lowest common multiple of 32 and a.
224
Let g = 277 + -275. Calculate the smallest common multiple of g and 1382.
1382
Let a(m) = -m**3 + 18*m**2 + 18*m + 22. Let g be a(19). Suppose g*n = -n + 56. Suppose -22 = -3*k - 4. What is the lowest common multiple of n and k?
42
Let d = -32 - -37. Suppose 2*j = -3*m + 81 + 11, 4*j - 180 = -d*m. Calculate the smallest common multiple of j and 20.
40
Let o = -15702 + 1130597/72. What is the common denominator of 61/18 and o?
72
What is the least common multiple of 16 and 12/3*((-5)/(-2) - -2)?
144
Suppose -y - 3*y = -2*n + 50, 5*n + 2*y = 77. Let h = -8 + n. Find the common denominator of 103/(-8) - h/(-18) and -79/10.
40
Suppose 2240 - 22754 = -2*z. Let u = z + -492427/48. Let y = 13/33 + -1825/528. Find the common denominator of u and y.
48
Let s = 449 - 425. What is the least common multiple of s and 108?
216
Suppose p = -k + 20, 0 = -0*p + 2*p - k - 43. What is the lowest common multiple of p and 35?
105
Let c(l) = l - 20. Let f be c(20). Calculate the lowest common multiple of (-4)/2 + f + (-57)/(-19) and 4.
4
Find the common denominator of (-137)/(-580) + (-201)/(-335) and -81/464.
464
Let v be (-190)/20*41/(-4). Let z = v + -395/4. Let s = -27 - -70. Find the common denominator of s and z.
8
Let w(o) = -o**3 + 19*o**2 - 22*o + 76. Suppose -2*q + 57 - 21 = 0. Calculate the smallest common multiple of q and w(18).
36
Suppose 0 = 4*o - 4*g - 48, 6*g - g = -3*o + 12. Let m = 16 + -5. Let k = m - o. Calculate the lowest common multiple of k and 8.
8
Find the common denominator of (213/(-4))/((-54)/6) and -77/160.
