e -129*x + 2830 = 53*x - 16826. Calculate the lowest common multiple of x and 892.
24084
Suppose -26*q + 3154 - 320 = 0. Calculate the common denominator of (19/(-152))/(3/q) and 2/5 + (-5103)/420.
24
Let z = -2129928463616/986327045847 + 1/1333775586. Let j = 122/153 + z. Find the common denominator of 33/10 and j.
290
Let y = 29 + -14. What is the smallest common multiple of (-2002)/(-572) - 118/(-4) and y?
165
Let k be (-3 - -2) + 6/(-6). Calculate the common denominator of (-2 + -135)/(8 + k) and -59/58.
174
Let z = 8275 - 7535. What is the smallest common multiple of z and 592?
2960
Let o(m) = -m**3 - 20*m**2 - 17*m - 25. Let t be o(-19). Let c = t + 105. What is the least common multiple of 8 and c?
168
Suppose 4*a + 3 - 11 = 5*m, m - 4*a + 8 = 0. Suppose m = 5*s + 5, -3*h - 6*s + 16 = -4*s. What is the least common multiple of h and 9?
18
Suppose -16*z + 15*z = 4*p + 2651, 3*z = -4*p - 7929. Calculate the common denominator of (z/30)/29 - 3 and -119/78.
390
Let k = 163/15 + 1/30. What is the common denominator of k and 41/1015?
2030
Suppose -o - 45 = -2*j, 3*j + o - 81 = -j. Let w = -24 - 341. Let i = -356 - w. Calculate the smallest common multiple of j and i.
63
Let w be 3298/26 + (-8)/(-52). Suppose -4*s - 5*f = -121, -4*s = 2*f + f - w. What is the smallest common multiple of 10/(-30) + (-49)/(-12)*4 and s?
272
Suppose 0 = -5*m - 15, -4*s + 4*m + m - 77 = 0. Let f = s - -13. Calculate the common denominator of 49/f + (1 - 0)*1 and 11/14.
70
Let n = 115748/17 - 6638861/969. Let p = 5/114 + n. Let c = 1116 + -6713/6. What is the common denominator of c and p?
6
Let d be 46/14 + (-46)/161. Let u(f) = 63 - 118 - f**2 + 2*f + f**d + 70. What is the least common multiple of u(0) and 27?
135
Let x = 656875/102 - 6440. What is the common denominator of x and -77/78?
1326
Let y = -34447 + 34645. Calculate the least common multiple of y and 153.
3366
Let t(d) = -435*d - 214. What is the least common multiple of t(-2) and 9?
5904
Let w(b) be the first derivative of -103*b**3 + b**2/2 + 7. Let f be w(1). Calculate the common denominator of 149/12 and f/198 + (-2)/(-4).
36
Let g(n) = 21*n + 189. Let c be g(-9). Suppose 15*x - 5*f = 11*x + 8, -4*f = c. Calculate the lowest common multiple of x and 4.
4
Let w = 9102 - 273169/30. What is the common denominator of w and 36/1115?
6690
Let z = 2 - -8. Let v = 8436 - 8368. Calculate the smallest common multiple of v and z.
340
Suppose -2*d + 3*d = 9. What is the least common multiple of 14 and 161/3 + 3/d?
378
Let k(c) = -c**3 - 9*c**2 - 9*c - 2. Let b(u) = u**3 - 13*u**2 - 8. Let m be b(13). What is the smallest common multiple of k(m) and 62?
186
Let f = -2850 + 2857. Calculate the least common multiple of 150 and f.
1050
What is the common denominator of -55/3 and 1/((-13332)/(-13412)) - (18 + -17)?
3333
Let m = 6922 + -6882. Calculate the smallest common multiple of m and 28.
280
Let d be (-11)/(-9) + -2*1/9. Suppose -d = -4*s - 13. What is the smallest common multiple of -9*(s/6 + 12/(-8)) and 10?
90
Let d be 4/(-10) - 107/(-60)*3082. Let h = -5508 + d. Let l = 509/7 + -13687/189. Find the common denominator of h and l.
54
Let g(p) = p**2 + 43*p + 46. Let l be g(-42). Calculate the smallest common multiple of ((-8)/13)/l + (-238)/(-26) and 21.
63
Let b be (6356/(-60) - -2)/((-368)/(-162)). Let j = b + 227/5. What is the common denominator of j and -27/10?
920
Let b = 4114 + -4059. Calculate the least common multiple of b and 55.
55
Let g = 29 + -11. Suppose m - 4 = 0, -2*m + 7*m = -5*h + 35. Calculate the lowest common multiple of g and (9 - (h + 0)) + 0/1.
18
Let d = 87531 - 120092555/1372. Find the common denominator of 151/84 and d.
4116
Let b(h) = -h**3 + 3*h + 5. Let j be b(0). Suppose p - c = 15, -j*p - 6*c + 93 = -5*c. Calculate the smallest common multiple of 158 and p.
1422
Let i = 11747/3 + -692917/177. Let n = -10037 + 60223/6. Find the common denominator of n and i.
354
Suppose 0 = 4*o + 2*w - 44, -o + 25 = 4*w. Suppose 0 = 6*x - 11*x + 1165. Calculate the lowest common multiple of x and o.
2097
Let g = -945395/547596 - -5/19557. Let b = 1049/2 - 476. What is the common denominator of g and b?
84
Suppose 20 = -c - 5*y, -2*y - 11 = -c + 2*c. Let r(m) = -31*m - 133. Calculate the least common multiple of r(c) and 220.
220
Let t be 2/(-6)*(-3 - 0). Let k be (5651/42)/t + 0. Let b = k - 805/6. What is the common denominator of b and 48?
21
Let q be 0 - -64 - (-1 + 1). Let n(m) = m**2 - 61*m - 391. Let f be n(66). Let c = q + f. Calculate the lowest common multiple of 1 and c.
3
Suppose 2962 = 869*v - 514. Let t(j) = 5*j**3 - j**2. Calculate the smallest common multiple of v and t(1).
4
Suppose -182 = -3*a + 2*k, 2*k - 82 - 248 = -5*a. Let j = -470059 - -470235. What is the smallest common multiple of j and a?
704
Suppose -l = 5, -4*j - 5*l + 8*l + 4007 = 0. Let t = j - 770. Calculate the least common multiple of t and 24.
456
Suppose 5*q = -10, 0 = 3*r - 4*r + 3*q + 428. What is the least common multiple of 9 and r?
3798
Calculate the common denominator of (4 - 4 - -1) + ((-600)/(-822) - 2) and 83/14.
1918
Suppose 8*a - 4*a = 3*z - 45, -10*z + 5*a = -100. What is the least common multiple of 498 and z?
3486
Let k = 12114 - 9657. What is the lowest common multiple of k and 567?
7371
Let v(d) = -d**3 - 139*d**2 + 286*d + 600. What is the lowest common multiple of v(-141) and 1107?
4428
Let q(w) = 32*w + 328. What is the lowest common multiple of q(-9) and 150?
600
Let v(c) = -19*c + 479. Let l(y) = -y**3 + 4*y**2 - y. Calculate the smallest common multiple of l(3) and v(23).
42
Find the common denominator of -89/156 and 11 + ((-220)/(-792))/(26/(-1061)).
468
Suppose -8*d + 9 = -7*d - 4*s, 4*s = -12. Let f(k) = k**2 - 5*k - 6. Calculate the smallest common multiple of 406 and f(d).
3654
Suppose 5762 = -3*j + 17462. Calculate the common denominator of 81/10 and (6/5)/(1710/j).
190
What is the common denominator of ((-31)/351)/(367/(-2202)) and -3/104?
936
Let q = -83 + 143. Suppose -4*k - q = -5*h, 0*k = 3*h - 3*k - 36. Let l(p) = 12*p**2 + 287*p - 2. Calculate the smallest common multiple of l(-24) and h.
132
Suppose -3*s + j = -730, -4*s - j + 990 = j. Let a(n) = 52 - 18*n**2 - n**3 + s*n - 6*n**2 - 266*n. What is the least common multiple of 4 and a(-23)?
12
Calculate the common denominator of ((-270)/4)/(-3)*(33 - (-2703986)/(-81940)) and 95/64.
15424
Suppose -115 = -3*o + 5*n, 4*n = -2*o + 29 + 11. What is the least common multiple of ((-10)/((-320)/(-96)))/(2/(-40)) and o?
60
Calculate the common denominator of 47/27 and (-21)/(-12)*27/(25515/672).
135
Let x be (-5 - 126/(-24))/((-3)/(-1048)). Let g = -1852/21 + x. What is the common denominator of g and -1 + -1*46/20?
70
Let a be 11/(1 + -2) - (-3 - 2). Let i(v) = v**2 + 3*v. What is the lowest common multiple of 90 and i(a)?
90
Suppose 2*i - 59 + 57 = 0. Let a be (i*-1)/((-1171)/293 + 4). Calculate the common denominator of (-2)/(-48)*a - (-2)/6 and 89/2.
8
Let k(p) = 117*p**2 + 30*p + 75. Calculate the lowest common multiple of 24 and k(-2).
3864
Let i = -26 - -74. Let k = -58 + i. What is the common denominator of (-2 - (-34)/16)*(-312)/k and 31/2?
10
Suppose -5*z + h = -2364, 386 = z - 5*h - 58. Calculate the least common multiple of z and 66.
5214
Let d = -6344511/239 - -26546. Calculate the common denominator of d and -61/42.
10038
Let v = 40 - 28. Suppose -2*g - v = -2*m, -5*g = 20 - 0. What is the lowest common multiple of (-4)/(-1)*(-9)/(18/(-10)) and m?
20
Let f = -27 + 25. Let o be 1/(65/(-32) - f). Find the common denominator of -34/5 and 8/o*(-16)/9.
45
Let f = -23623/3320 - 4/415. Find the common denominator of 37/16 and f.
16
Let u(i) = i**2 - 37*i + 189. Let y be u(30). Let q be -1 + -2 + 2 - 14. Let j = q - y. Calculate the smallest common multiple of 68 and j.
204
Let n = 237540 - 832340153/3504. What is the common denominator of n and -25/584?
3504
Let q(w) = w**2 + 12. Let t be q(0). Let d(s) = 4*s - 28. Let u be d(t). Suppose -9*r + 4*r = -u. What is the smallest common multiple of r and 2?
4
Suppose -220*w + 105*w + 84*w + 3472 = 0. Calculate the smallest common multiple of 112 and w.
112
What is the smallest common multiple of ((1040/(-30))/(-4) + -4)*15 and 98?
490
What is the least common multiple of 11 and