of t and w.
35
Suppose -2*n - 18 = -3*g, -4 = -g - 3*n + 2. Let o(c) = -c**3 + 8*c**2 - 5*c + 4. Calculate the smallest common multiple of o(g) and 22.
506
Let g be 14/(-6) + 3 - (-207266)/174174. Let y = g + 2/4147. What is the common denominator of y and 63/10?
70
Let b = 9 - 1. Suppose -4*i - 12 = 0, 3*w - b = 4*i + 10. What is the least common multiple of 14 and w?
14
Find the common denominator of 20/(-15) - (-9)/(-18) and 65/22.
66
Suppose 23 = 2*h - 1. Suppose 0 = -4*a + k - 18, 2*k = -3*a + 6*k - 7. Find the common denominator of 97/2 and (-37)/a*15/h.
4
Suppose 0 = 3*b, 0*y - 5*b + 60 = -4*y. Let w be 87/(-414) + (-5)/y. Let v = -2473/276 - w. Calculate the common denominator of -101/16 and v.
48
Let n = -21 - 7. Let r(p) = 3*p + 37. Calculate the smallest common multiple of r(-5) and n/(-6) - (-8)/(-12).
44
Let f = -153 - -184. What is the lowest common multiple of f and 9?
279
Suppose -3*u - 3984 = -3*o, 5*u - 3*u - 2648 = -2*o. Let y = 379149 - 4156022/11. Let w = y - o. Calculate the common denominator of w and -47/8.
88
Let p(x) = 10*x + 18. Let j be p(-6). Find the common denominator of (176/(-576))/((-2)/j) and 35/12.
12
Let p = 1 + 2. Suppose 3*b - p*r = 33, -3*b = -5*b + r + 23. Calculate the lowest common multiple of (6/(-9))/(69/72 + -1) and b.
48
Let k = 32 + -27. Suppose -38 = -k*r + 2. Calculate the least common multiple of r and 18.
72
Let p = -28 - 3. Let l = p - -36. Calculate the least common multiple of 3 and l.
15
Let a = -21869433/353 + 61953. Let h = a - 33391/2118. Let m = -589/574 + -201/41. Calculate the common denominator of h and m.
42
Suppose -4*i - k + 25 = 0, 12 = 3*i + 2*k - 13. Let g(d) = 2 + 3 + d - 8. What is the smallest common multiple of 14 and g(i)?
14
Suppose 0 = -5*x - 0*x + s + 8, 0 = 4*x + 4*s - 16. Suppose 141 = -7*c - 4*l + 527, 3*c + 5*l - 149 = 0. What is the least common multiple of c and x?
58
Suppose w = 2*h + 15 + 11, 0 = -2*w - 5*h + 34. Let p(n) be the third derivative of -n**4/24 + 17*n**2. Calculate the least common multiple of p(-6) and w.
66
Let b = 325/63 + -115/14. Find the common denominator of -59/22 and b.
198
Let m = 85 - 53. Suppose -4*p - m = -3*u, 7 = 5*u + 2*p - 3. What is the lowest common multiple of u and 24?
24
Suppose 5*c = 2*o - 131, -4*o + c - 2*c = -251. Let p = o + -98. Find the common denominator of p/(-4) + 0/(-9) and 40/7.
28
Suppose 3*n - 46*x + 51*x = 114, 3*x = 5*n - 190. What is the least common multiple of 4 and n?
76
Let d = -26 + 40. Let y(n) be the third derivative of n**5/60 + n**4/24 + n**3/3 - 2*n**2. Calculate the smallest common multiple of d and y(2).
56
Suppose 81*l - 884 = 55*l. Calculate the lowest common multiple of l and 272.
272
What is the common denominator of -3/34 and (-3289)/(-132) - 1/(-3)?
68
Suppose -22*k = -20*k + 4*c - 44, 0 = -k + 4*c + 4. Suppose -3*a - 69 = -4*g - 0*a, 86 = 5*g - 4*a. What is the smallest common multiple of g and k?
144
Let m = 1745/22 + -4297913/54186. Let i = m + -78827/27093. Find the common denominator of -63/5 and i.
55
What is the common denominator of -11/306 and (-5704)/(-1054)*(-1)/(-16)?
612
Let u = -2 - -5. Suppose -x = 4*q - 18, 7*x - 3*q - 91 = 3*x. Let g(s) = s**3 - 22*s**2 - s + 23. What is the least common multiple of u and g(x)?
3
Suppose -3*p = p + 144. Let k(r) = -4*r + 21. Let w be k(6). Calculate the common denominator of -109/10 and 14/p + 1/w.
90
Let d = -25292461/12486 - 349/2081. Let z = 2004 + d. What is the common denominator of 17/4 and z?
12
Let b be (6/12 + -1)/((-2)/(-160)). Calculate the smallest common multiple of 6 and (8/10)/(-1 + (-42)/b).
48
Suppose 0 = -6*i + 363 - 465. Let s = -3 - 18. Let h = i - s. Calculate the least common multiple of h and 7.
28
Let f = -3435/76 + 151997/57. Let r = f + -13121/5. Find the common denominator of 93/16 and r.
240
Let y = 14855/2 - 1693499/228. Calculate the common denominator of 73/30 and y.
1140
Let m = -7936/5 - -190849/120. What is the common denominator of 3/(-6)*(-82)/(-6) and m?
24
Let i = 61 - 27. Let a(w) = 4*w - 10. What is the least common multiple of a(3) and i?
34
Let t = -19931/126 - -319/2. Calculate the common denominator of t and 85/147.
441
Let v = 5219/282 + -1/141. Let u = -9800588015/43299 + 3847982/17. Let z = u + 26/283. Find the common denominator of v and z.
18
What is the least common multiple of (21/(-2))/(4/(-8)) and 3?
21
Suppose 141 = 3*v - 396. Suppose -d + 7*z = 2*z - 66, -3*d - 4*z + v = 0. What is the common denominator of (3 - 2) + d/(-9) and 51/11?
99
Let h = -1116/353 - -210709/74130. Find the common denominator of -107/40 and h.
840
Suppose z = 5*z - 288. Suppose -3*w = -7*w + z. Suppose 20 = b - 0. Calculate the smallest common multiple of b and w.
180
Let c = -328645/34908 - 6/2909. What is the common denominator of -93/4 and c?
12
Calculate the lowest common multiple of (78/(-12) - -7)*48 and 24.
24
Let j = -1/10 - 286/15. What is the common denominator of -145/6 and j?
6
Suppose -3*o - 3*c + 3 = -3, -o - 3*c = 0. What is the lowest common multiple of 5/(-2)*(592/(-40) - -12) and o?
21
Let w = 62351 - 11784398/189. Calculate the common denominator of w and 59/189.
189
Let a = 241945/21 - 11518. What is the common denominator of a and 59/57?
399
Let p be (-1798490)/3593760 + 1/2. Let a = 509838937/42765744 + p. Let h = a + 54/119. What is the common denominator of h and 20/9?
72
Let m = 69 + -160. Let l be (-1607)/3*m/(-21). Let i = -2317 - l. What is the common denominator of 25/6 and i?
18
Let s = -30 + 28. Calculate the lowest common multiple of (10/15 + -2)/(s/12) and 20.
40
Let i(n) = 2*n. Let t be (-7)/(-3) - (-4)/6. Suppose 4*f - 43 = -t*w + 17, -19 = -w - f. What is the least common multiple of i(8) and w?
16
Let w = -158 - -169. Let u be (3 + -2)*(0 + 0). Suppose u = -3*m + 3 + 3. Calculate the smallest common multiple of w and m.
22
Suppose 0 = c + 2*c + 5*h + 1, -3*h + 9 = 3*c. What is the lowest common multiple of (1/1)/((-1)/(-6)) and c?
24
Let w(t) = 14*t - 323. What is the smallest common multiple of 14 and w(24)?
182
Suppose -32 = -12*j + 13*j. Let z = j + 35. Suppose z*p = -2*p + 20. What is the lowest common multiple of p and 50?
100
Let z = 14 + -6. Suppose z = 3*u - 1. Calculate the least common multiple of 24 and u.
24
Let a be (-1221)/(-10) - (-1)/(-5). Let v = a - 122. Let j = -7731 - -46273/6. Calculate the common denominator of v and j.
30
Let c = -468829964/23 + 2758129294048/135309. Let q be (4/(-265))/(222/15). Let h = q - c. Calculate the common denominator of 17/8 and h.
24
Let a(b) = 9*b**2 + 6*b**3 + b**2 - 8*b**3 - 12*b + b**3 + 30. Calculate the least common multiple of (-33)/(-4) + 5/(-20) and a(9).
24
Let l be (-12)/(-4) + (-3)/(1235988/1098718). Let v = -1/741 - l. What is the common denominator of -7/4 and v?
556
Let d = 387 + -382. Calculate the least common multiple of d and ((30/1)/3)/1.
10
Let m(v) = -v**3 + v**2 + v + 3. Let n = -62511/10 - -6245. Calculate the common denominator of m(4) and n.
10
Let l(n) = -43*n - 4. Let w be l(-1). Let s = w + -19. Calculate the smallest common multiple of s and 10.
20
Suppose 5*k - 2*u - 31 = 0, -k - 5*u = -2*k - 3. Calculate the least common multiple of 34 and 1/(((-28)/(-8))/k).
34
Suppose 5*j - 1 = -4*s + 34, -2*s = -j - 7. Calculate the lowest common multiple of 11 and j - (1 - (-2 + 4)).
44
Find the common denominator of 7/9 and (-60)/5104*1*12.
2871
What is the common denominator of ((-596)/120)/(-8 + (-288)/(-40)) and -151/138?
552
Let w be -79*(-4)/10*25. Suppose p + 4*p - 3*s - 790 = 0, 5*p - w = -3*s. Calculate the least common multiple of 14 and p.
1106
What is the least common multiple of (-744)/(-31) - 6/(-1 + -1) and 15?
135
Let j be (-1*14)/(21 + -20). Let m(w) = 2*w**2 + 25*w - 17. What is the smallest common multiple of m(j) and 55?
275
Let u = -2492/17 + 47953/340. Calculate the common denominator of u and 1 - (-93)/(-34) - -1.
340
Let q(g) = g + 2 + 3 + 3 + 2. Calculate the lowest common multiple of 3 and q(7).
51
Suppose 0 = -5*b - 45 - 75. Let r = 71667/10 - 7158. Find the common denominator of b and r.
10
Suppose -2*c = -5*m + 72, -5*c + 19 = -2*m + 52. What is the lowest common multiple of m and 49?
98
Let z(s) be the third derivative of s**6/120 - s**5/60 - s**4/24 + 2*s**3/3 + 4*s**2. Cal