and 2.
14
Suppose 12*t - 264 = 204. Suppose -3*m + 15 = -4*o, 7*o - 3*o - t = -3*m. What is the least common multiple of 21 and m?
63
Let f = -2349509/38764 + 315/1762. Let w = f - -243/4. Let d = 1325/6 + -5447/24. Calculate the common denominator of w and d.
88
Let i be -4 + -6*(-28)/21. Find the common denominator of 987/(-196) + 6/i + 1 and 7/68.
476
Suppose 0 = -2*u - 1 + 7. Suppose 3*v = -3*i + 213, 35*i - 30*i - v - 319 = 0. What is the smallest common multiple of u and i?
195
Suppose -16*d = 3*d + 684. Calculate the common denominator of -1*7/(-36) - 18/d and -71/28.
252
Let u = 58/14193 - -16087/4939164. Find the common denominator of -47/60 and u.
15660
Let x = 920 - 22075/24. Let y = 9179/84 + -332/3. Calculate the common denominator of x and y.
168
Let g(z) = 2*z + 6. Let j = 11 - 17. Let i be g(j). Calculate the common denominator of 55/6 and 4/i + (-62)/(-24).
12
Let j = -187/148 - 18/37. Let d = -163/852 - 74123/7242. Let i = 474/85 + d. What is the common denominator of j and i?
20
Let n = -6981 + 8309. Calculate the lowest common multiple of n and 16.
1328
What is the smallest common multiple of 20/(-8)*1*(2 - 8) and 969?
4845
Let h(m) = 2*m**2 + 51*m + 31. What is the smallest common multiple of 600 and h(-25)?
600
Let h = 170 + -161. Suppose 4950 = 16*v + h*v. What is the lowest common multiple of 126 and v?
1386
Let j = -30172 + 30827. Calculate the lowest common multiple of j and 1179.
5895
Suppose -3*y + 1 = -u, -4*y - 3*u + 7*u = -12. Calculate the least common multiple of 16 and (-1 - -105)/((-8 - y) + 9).
208
Suppose -30398 = -3*z - 11*t + 7*t, -2*t - 50620 = -5*z. Let s = -141821/14 + z. Calculate the common denominator of 5/18 and s.
126
Let s = 2/3681 - 246659/58896. Let t = -14883 + 8673. Let l = -37357/6 - t. Calculate the common denominator of l and s.
48
Let u = 67/144 + -123/16. Let l = -22548 - -901813/40. Calculate the common denominator of l and u.
360
Let m = -660296 - -4331541839/6560. What is the common denominator of m and -79/20?
6560
Let i = -33 + 49. Let g = -22 + i. Calculate the common denominator of 41/18 and (7/g)/(1/16).
18
Let a = 144/43 + -59/1032. Calculate the common denominator of a and 10/9.
72
Suppose -2*d + 7 = -5*k, -d + 2 = -0*d - 3*k. Suppose -7*z + 3 = -d. What is the least common multiple of 40 and z?
40
Let x = -1448/3 + 57581/120. Calculate the common denominator of x and 29/1880.
1880
What is the common denominator of 37/8480 and ((-6)/(-5)*4400/320)/7?
59360
Let u = 153 + -121. Suppose 0 = -11*s + 208 - u. Calculate the smallest common multiple of s and 22.
176
Let g = -250 - -250. Suppose 5*w = 4*f + 134, g = 2*w + 3*f - 51 - 21. What is the smallest common multiple of w and 5?
30
Let d = -400 + 420. Let i = -5 - -7. Calculate the smallest common multiple of (0 - (-8)/d) + 480/50 and i.
10
Calculate the smallest common multiple of 3568 and 35 + (-171)/(-63)*-7.
3568
Let o(m) = -38*m - 717. What is the lowest common multiple of o(-19) and 610?
610
Let f(a) = -a**3 - 12*a**2 + 11*a - 2. Let t = -11 + 13. Calculate the lowest common multiple of f(-13) and t/8 - 22/(-8).
24
Let b be -27 - (12 - 2)/(-5). What is the common denominator of (-1828)/(-480) - 5/(b/(-20)) and 137/90?
360
Let y be (14 - 10) + 0 + 2. Suppose 0 = -2*z + y*z - 52. Let x = 3169 + -3160. What is the lowest common multiple of x and z?
117
Let n(p) = -3*p + 65. Let j(t) = 40*t + 4. Let z be j(2). Suppose -v + 5*v = z. What is the lowest common multiple of n(v) and 5?
10
Let o(u) = 4*u**3 - 6*u**2 + 5*u + 12. Let r be o(5). Calculate the smallest common multiple of 21 and (-233)/(-6) + r/54 + -7.
273
Find the common denominator of -13/12 and (-2734037)/6351016 + (-4 - (-186)/42).
57912
Suppose -78*n + 75*n + 3297 = 5*z, 4*n - z = 4419. Calculate the smallest common multiple of n and 1380.
5520
Suppose -4*l = 2*z - 9 - 17, -3 = z. Let u(j) = -80*j - 1. Let i be u(-2). Find the common denominator of l/60*5*i/(-66) and -58/21.
231
Let k = 39199/14060 + -526/185. Let f = 17293/10260 - k. Calculate the common denominator of f and -67/9.
27
Let y be (15 - 25)/(1/3). What is the least common multiple of 4 and y*((-275)/50 - (-1 - 4))?
60
Suppose 1768 + 1123 + 884 = 151*d. What is the lowest common multiple of d and 1150?
1150
Calculate the common denominator of -27/115 and (-20)/23 - 375/(-500).
460
Let f(z) = z**3 - 10*z**2 + 24*z - 7. Let g = -3 + 19. Suppose -n + 6 + g = 0. What is the lowest common multiple of f(7) and n?
154
Let t be -8*((-18)/(-54))/((-2)/6). What is the least common multiple of (t + 1)/(-2 - -3) and (-1)/2*(3 + -33)?
45
Let k = 459 - 313. Suppose -k*u - 81 = -149*u. What is the lowest common multiple of u and 30?
270
Let y(m) = 3*m**2 - 166*m + 1029. Suppose 5*k - 3*v - 27 = 0, 5*v + 11 = -3*k - 0*v. Suppose 0*h = k*h - 6. Calculate the least common multiple of y(7) and h.
14
Let p(n) = 100*n**3 - 7*n**2 + n - 9. What is the lowest common multiple of 340 and p(2)?
3060
Suppose -4*q + 40 = c - 2, 0 = -3*c - 2*q + 66. Let i(x) = 277*x**3 - 2*x**2 + x. Calculate the smallest common multiple of c and i(1).
828
Let z = 176 + -186. Calculate the common denominator of 77/36 and 35/z*(-3)/84.
72
Suppose -3*w = -2*p - 30, -3*w - 2*w - 14 = 2*p. Let f = 29089/10 - 2905. Find the common denominator of f and (258/(-16))/(p/16).
10
Find the common denominator of -29/18 and ((-406)/35196)/(-3 - (8 + -14)).
7542
Let y be 22/(-88) + (-3)/4. What is the common denominator of (4 - (-53)/(-8)) + y and 55/12?
24
Suppose 0 = -5*m - 3*v + 95, m + 3*m = 4*v + 108. Let y(b) = -3*b + 2. Let i be y(11). Let a = 33 + i. What is the lowest common multiple of m and a?
22
Let u(r) = r**3 + 14*r**2 - 12*r + 66. What is the smallest common multiple of -2 + (-31 + 4)/(-3) and u(-15)?
21
Let p = 110 - 103. Let l(t) = t**3 - 7*t**2 + 2*t - 10. What is the lowest common multiple of l(p) and 8?
8
What is the common denominator of ((-177)/(-27) + -6)/((-84)/(-58)) and 34/9?
378
Let o = -435/28 + 6339/308. Find the common denominator of o and -37/6.
66
Suppose -5*v + 179 + 21 = -5*s, 0 = -2*s + v - 82. What is the common denominator of -67/28 and (2/(-14))/(s/264)?
196
Let v = -210/563 - 21475/40536. Let x = -294721/24 - -12277. What is the common denominator of x and v?
72
Suppose -m - 5*k = -596, -m + 592 = 2*k + 2*k. What is the common denominator of 47/30 and (58*(-20)/m)/(14/21)?
240
Let j = -72/571 + 23699/2284. Calculate the common denominator of j and 29/2553.
10212
Let l = -1649447710 - -6742942192859/4088. Let u = -902/73 - l. Calculate the common denominator of u and 9/22.
616
Let l = -811643/1191020 - -928/1921. Calculate the common denominator of l and 53/1612.
8060
Suppose 10*i = 5*i - 30*i + 42560. What is the lowest common multiple of i and 76?
1216
Suppose 9*i = 7*i + 24. Suppose -i*o + 124 = -56. Calculate the least common multiple of 27 and o.
135
Let b(o) = -o**2 + 8 - 298*o - 6*o**3 + 149*o + 154*o. Suppose -5*z = 5*w - 70, -5*w + 2*z + 3 = -67. What is the least common multiple of b(-2) and w?
42
Suppose 5*b = 3*o - 9523, -4*b + 3*b - 5*o = 1899. Let x be 530/b - (-12)/42. Let l = x + 193/1496. What is the common denominator of 81/10 and l?
110
Let f(q) = -q + 11. Suppose p + 4*t = 9, 3*t = 2*p + t - 8. What is the smallest common multiple of f(p) and (-2)/((2/12*-2)/((-238)/(-42)))?
102
Suppose -3*h = -6*p + 15, -7*h + 1 = 3*p - 2*h. Calculate the least common multiple of 14 and p.
14
Calculate the common denominator of (25533/3186 + -8)*(-378)/(-200) and 75/472.
2360
Let r = 295 + -428. Suppose -4 = -2*w - 2*w, -4*w = -s + 31. Find the common denominator of (-9)/3*1 - r/20 and s.
20
Suppose -4*r - d + 421 = 0, r - 42*d + 37*d - 100 = 0. Calculate the lowest common multiple of r and 3.
105
Let l be 5004163/(-120) - 3/(-24). Let h = -41705 - l. What is the common denominator of 83/21 and h?
210
Let d(n) = n**2 - 26*n - 18. Let i be d(20). Let x = i - -165. Calculate the lowest common multiple of 3 and x.
27
Suppose -3*h - 2*t = -15 + 4, 11 = 2*h + 5*t. What is the common denominator of 86*2/(-41 - h) and ((-650)/(-36) - 18)/(2 - (-163)/(-82))?
99
Suppose -g + 2 = -4*d + 2*d, 3*g - d + 14 = 0. Let j = -1445/9 - -161. What is the common denominator of 41/3*(-8)/((-32)/g) and j?
18
Let a be 13/2*((-144)/4)/(-1). 