3/140)/(-7) and 71/32.
160
Let v(t) = t**2 - 4*t + 6. Suppose 5*c - 8*c = 0. Suppose 0 = 3*n, c = -x - n - 3*n + 18. Calculate the smallest common multiple of x and v(4).
18
Let w = 17 - 16. Suppose 12*b + w = 13*b. What is the least common multiple of 18 and (16/(-28))/(b/(-14))?
72
Let x be (3/(-9))/((-4)/(-9998)). Let r = -841 - x. Calculate the common denominator of (70/448)/(1*(-3)/(-36)) and r.
24
Let f(b) = 3*b - 3. Let a be f(2). Suppose -5*p + 13 = a*m, -2*p + m + 26 = -3*m. Let l = p - -5. Calculate the least common multiple of 5 and l.
10
Suppose -2*h - 4*l + 34 = 0, 4*l - 57 = -5*h + l. Let n(k) = -k**3 + 8*k**2 - 9*k - 6. What is the least common multiple of h and n(5)?
72
Let w = 320 - 240. Calculate the smallest common multiple of w and 24.
240
Let z be 4*(-3)/9 + 2/3. Let u = 1 + z. What is the common denominator of 17/19 and u?
57
Let c(n) = n**3 - 7*n**2 + 7*n - 4. Let l be c(6). Find the common denominator of -37/2 and (5/(-40))/(l/43).
16
Let t(q) = -q**3 + 8*q**2 - 4*q - 4. Calculate the smallest common multiple of 23 - (-20)/(-4) - (4 + -2) and t(6).
176
What is the common denominator of 47/90 and (-2522)/312 + (-1 - -1)/2?
180
Let a(f) = -f**2 - 9*f. Calculate the least common multiple of a(-2) and 34.
238
Let k be 6/14 - 20/14. Find the common denominator of (k/2)/(5/19) and (-2)/(-1) - (-837)/90.
10
Let m(p) = 2*p + 1. Let f be m(2). Let u = 0 - -1. Suppose f*s + u = 6. Calculate the least common multiple of s and 6.
6
Let k = 368147238750107/3330804210 - 14/111026807. Let i = 110500 - k. Let b = 193/15 + i. What is the common denominator of b and 71/22?
66
Let n = 31 - 33. Find the common denominator of (33/n)/(12/9) and -35/4.
8
Let g = -3184057/208 + 15308. Find the common denominator of 103/80 and g.
1040
Let w = 3435 - 3291. Calculate the least common multiple of 60 and w.
720
Suppose 5*k - 5 = 4*a, -k + 0 = -5*a - 1. Suppose 0 = -u - k, -7*c - 4*u = -4*c - 14. Calculate the least common multiple of c and 6.
6
Let q = 14892065/8 + -1855855. Let r = q - 5642. Let n = 1727/2 + -911. What is the common denominator of r and n?
8
Let a = 1114 - 1072. What is the smallest common multiple of 4 and a?
84
Let h = 1435117/346962 + 2/15771. Let c = 229 + -98. Calculate the common denominator of (-4)/64*c - -3 and h.
176
Suppose v - 43 = -4*j - 16, -50 = -5*v - 3*j. What is the least common multiple of v and 6?
42
Let y(v) = -v**2 - 7*v. What is the smallest common multiple of 0/(-4) + (13 - (2 + -3)) and y(-3)?
84
Let k(z) = z**3 + 5*z**2 - 3*z - 7. Let y(s) = -2*s**3 + 46*s**2 - 41*s - 59. Calculate the smallest common multiple of y(22) and k(-5).
56
Let w = -28589/21 + 1359. What is the common denominator of w and -157/540?
3780
Suppose 5*d - d - 3*c + 15 = 0, -3*d + 3*c - 15 = 0. Let p = 19 + d. Suppose 0 = -39*i + 8*i - 372. What is the common denominator of p and i?
1
What is the common denominator of 1652/1386 - (-2 + 3) and -23/63?
693
Let r be (-87)/12*(-51)/(-3). Let j = r - -1253/12. Calculate the common denominator of 76/3 and j.
6
Let y = -576 + 1693/3. Find the common denominator of 31/141 and y.
141
Suppose -q = 2*q - 3*c - 12, -5*q - c = -44. Find the common denominator of (-2)/q - 346/8 and 87/22.
22
What is the common denominator of -40/149 and (12 + 976/(-24))/(14/3)?
1043
Suppose 5*x + 4*u = -10, 0 = -3*u + 2*u - 5. Suppose -5*m - 16 = 2*f, m + 18 = -x*m + 3*f. Let j = 12 - m. What is the smallest common multiple of j and 4?
16
Let i = -1084 - -1094. Calculate the lowest common multiple of i and 6.
30
Let a(f) = 2*f**2 + 74*f + 149. What is the least common multiple of a(-40) and 7?
2723
Let o(v) = -2*v - 77. Let h be o(0). Let t = -50 - h. Calculate the lowest common multiple of t and 27.
27
Find the common denominator of 113/12 and (45/(-80))/(-1) + (-7 - -11).
48
Suppose 5*i + v - 1385 = 6*v, -4*v = 4*i - 1084. Calculate the lowest common multiple of 14 and i.
1918
Let d(g) = g**2 + g + 1. Let v be 2 - ((2 - 1) + 3). Calculate the smallest common multiple of 9 and d(v).
9
Let t = -17609/5115 - -60/341. Find the common denominator of 53/9 and t.
45
Let g = 45 + -33. Let w(k) = k**3 - 13*k**2 + 11*k + 24. What is the least common multiple of w(g) and 24?
24
Let h = 1826 - 7239/4. Suppose 0 = 3*d - 4*r - 2260 - 590, 0 = 5*r. What is the common denominator of 1 + (-1)/1 - 975/d and h?
76
Suppose -11*u - 10*u + 231 = 0. Calculate the least common multiple of (-2)/5 + (-48)/(-20) and u.
22
Suppose 2*l = -0*l + 2, -4*a + 5*l = -3. Calculate the least common multiple of a and 32.
32
Let s = -34/491 + -53179/4910. Let q = -44 - -66. What is the common denominator of s and -2 - q*(-3)/(-14)?
70
Let g = 12693123916/831357 + 147/30791. Let b = 15270 - g. Calculate the common denominator of 25/9 and b.
27
Calculate the lowest common multiple of 24 and (0 - 72)/(3*1/(-3)).
72
Calculate the common denominator of -1/20 and 6/(-10) + (-247)/(-1045).
220
Let l(p) = p**2 - 10*p + 26. Suppose -8*y + 39 = -9. Calculate the smallest common multiple of 26 and l(y).
26
Calculate the common denominator of -77/8 and 3418/(-2772) + ((-64)/14)/(-8).
792
Let x(b) = -b**2 - 10*b + 5. Let z = 22 - 6. Calculate the least common multiple of x(-10) and 3/12 - (-172)/z.
55
Suppose -4*r - 2*d - 238 = 0, 0*r + r + 54 = 5*d. Let w = 34 + r. Let t = w - -31. What is the smallest common multiple of t and 22?
66
What is the smallest common multiple of 8 and 6 + 2*6/(-3)?
8
Let q = 5538 + -66361/12. What is the common denominator of (-166)/(-84) - 2 - 2 and q?
84
Let m be (-112)/6 - (-4)/6. Let i = 32 + m. Suppose 5*r - 5*y - 45 = 0, -7*r + 2*y = -3*r - 34. What is the lowest common multiple of i and r?
56
What is the common denominator of 160/(-2145) + (-3)/(-72)*8 and 155/468?
5148
Let d = -18815 - -13040. Let y = d + 46137/8. Calculate the common denominator of 91/58 and y.
232
Suppose 0*r = 3*u + r - 23, -3*u = -2*r - 35. Suppose 0 = -7*a + 70 - 21. What is the smallest common multiple of a and u?
63
Let j = 11549/8 + -1448. Let c = 19983 - 10417. Let p = c - 57527/6. Calculate the common denominator of p and j.
24
Suppose 5*t + 34 = 7*t + a, -a - 14 = -t. Let o(l) = l**3 - 4*l**2 - 4*l - 4. What is the least common multiple of o(6) and t?
176
What is the lowest common multiple of 144 and 2 - (-21)/(-9) - (-1001)/33?
720
Let w(v) = v**3 + 10*v**2 + 7*v - 18. Let z be w(-9). Calculate the common denominator of ((-1068)/90)/(8/(-3) + z) and 7/16.
80
Let l be 1 - -2 - (-1143)/18. Let r = l - 82. What is the common denominator of -43 and r?
2
Let d = 465 + -357. Calculate the lowest common multiple of 8 and d.
216
Let y = 1107 + -2119/2. Let f = 2045/246 + -6/41. What is the common denominator of y and f?
6
Let c(f) = f**2 - 1. Let t(b) = 42*b**2 + 2*b - 3. Let j(h) = 4*c(h) - t(h). Calculate the common denominator of -37/10 and j(-1).
10
Let g = -312 - 76. Let r be 2/(2 - 3) - 28. Calculate the common denominator of 12/r - g/45 and -17/4.
36
Suppose -2*f = 2*f - 72. Let m = 21 + 5. Let y = -12 + m. What is the least common multiple of f and y?
126
Calculate the common denominator of 3/22 and 16/198 + 58/(-87).
198
Let u = -664 - -680. Calculate the smallest common multiple of u and 208.
208
Let y(u) = -3*u**3 + 74*u**2 + 29*u - 82. Suppose 3*m + m - 8 = 0. Suppose 0*z + m*z - 100 = 0. Calculate the smallest common multiple of y(25) and z.
450
Let h = 19372/7 + -2763. Let l = 1063/2 + -550. Find the common denominator of l and h.
14
Let h be ((-48966)/(-8))/((-27)/(-6)). Let a = h + -1375. Find the common denominator of a and 74/(-40) + (-4)/(-16).
30
Let i = -260 + 424. Suppose -w = -5*w + i. Let d = w - -8. Find the common denominator of d and 85/6.
6
Suppose 0 = 4*x - x - 15. Suppose -x*d + 28 = -d. Suppose d*s = 4*s + 36. Calculate the smallest common multiple of s and 10.
60
Let c = -87893/5 + 17461. Let w = c + 115. What is the common denominator of 45/4 and w?
20
Let y = 50687/18 + -2816. Find the common denominator of 290/(-24) + 5/20 and y.
18
Let k = -43 + 18. Calculate the common denominator of (k/(-10))/(1 - -6) and 79/6.
42
Suppose 20*t = 8*t + 480. Calculate the lowest common multiple of t and 120.
120
What is the smallest common multiple of (((-480)/(-45))/(-32))/((-1)/3) and (-3 - 0)*4/(-3)?
4
Let s = 108844/105 - 5178/5. W