03. Suppose -50*i - g = -63*i. Calculate the lowest common multiple of i and 63.
630
Let q = -2291916268 - -18353665443703/8008. Let u = q + 730/143. Find the common denominator of 35/8 and u.
56
Let t be (-3)/(-6)*(-1186 + 2). Let z = -512 - t. Calculate the lowest common multiple of 48 and z.
240
Calculate the least common multiple of 1752 and (-20)/700*28 + 10954/5.
8760
Let q(l) = -l**2 + 103*l - 1522. Calculate the smallest common multiple of q(18) and 2020.
4040
Let n = 525201/16 - 32826. Let p = -4/49 - 167/2156. Calculate the common denominator of p and n.
176
What is the smallest common multiple of 1572/16*(-45 - -53) and 2358?
2358
Let a = -138619/2350 + 2700/47. What is the common denominator of (-23)/(-140) + (-2)/8 and a?
350
Suppose -2*v - 67 + 57 = 0. Calculate the common denominator of 93/(-4) + 1 + 7 + v and -15/22.
44
Let v = 90190 - 17316341/192. Calculate the common denominator of 19/32 and v.
192
What is the common denominator of 9009090/16036900 - 30/(-44)*(-8)/10 and -37/55?
26290
Suppose 2*v - 12 = 28. Suppose 5*h + 141 - 180 = 17*q, 5*h - 81 = 3*q. Calculate the smallest common multiple of h and v.
180
Calculate the common denominator of -1 - 508/(-24) - -2 and (-435)/(-145) - (-47)/(-14).
42
Let n = -6027488/171 + 35248. Calculate the common denominator of -21/8 and n.
1368
Let l be 2 + 2/(144/(-971566)). Let d be (2 + 12/(-9))/(22/(-445302)). Let f = l - d. What is the common denominator of f and -45/2?
36
Let v(d) = d**3 + 18*d**2 + 16*d - 5. Let u be 0 + 0 + 9 + -26. Let w be v(u). Suppose -j = -w - 0. Calculate the least common multiple of j and 4.
12
Calculate the common denominator of 93/112 and (-5225)/(-24472) + (-13)/104.
2576
Let v be (-1)/1*(-96)/3 - -1. Find the common denominator of -55/69 and ((-4)/18)/((-11)/v).
69
Let i = 40/120727 + -1438705259/4829080. Let d = i - -2335/8. Let g = -658 - -5239/8. Find the common denominator of d and g.
40
Let z = -97259/22 - -4420. What is the common denominator of -83/165 and z?
330
Suppose j - 76 = -3*z - 15, -39 = -2*z - j. Calculate the least common multiple of (-6)/18 - 2/6*-613 and z.
2244
Let f be (-132)/(-4) - -2 - 2. Suppose -4*o = 3*z - 39, -2*z + 5*o = -4*z + f. Suppose 198 - 387 = -3*k. What is the lowest common multiple of k and z?
63
Suppose -101 = -3*n + 7. Find the common denominator of 80/448*-14 - (0 + -9) and n/7 - (-3)/(-3).
14
What is the common denominator of 1/795 and ((-350)/280 - ((-277)/20 + 1)) + 1?
795
Suppose 3*h - 105 = -5*v + 96, -4*v = -2*h - 152. Let n = v - 9. Calculate the smallest common multiple of 2 and n.
30
Let j(m) = m**3 + 9*m**2 - 11*m - 4. Let v be j(-10). Let y be (-21932)/(-6)*(0 - (v - 3)). Let t = 131687/12 + y. Find the common denominator of 14/15 and t.
60
Let j = 87662425/316 + -277413. Find the common denominator of j and 21/8.
632
Suppose 0 = -i + 4*i + 4*r - 32, -5*i + 5*r = -100. Let l = -15 + i. Calculate the smallest common multiple of l and 4.
4
Let l = -1353 - -1384. Let w = -126114 + 14376881/114. Calculate the common denominator of w and ((-2 + -3)/(-20))/((-1)/l).
228
Suppose 0 = 2*j - 4122 - 2214. Calculate the lowest common multiple of 7128 and j.
28512
Suppose 2*w = -o - 169, 0 = 4*o - o - 15. Let l = w + 140. Calculate the smallest common multiple of 9 and l.
477
Let v be 7/((-35)/10) + 42. Suppose -5*g + 0*g - v = 0. Find the common denominator of -13/17 and 8*((-102)/105 - g/14).
85
Let a = 1659/1166 + 33/53. Calculate the common denominator of 23/4 and a.
44
Suppose -g - 2*b = -14 - 36, -g + 3*b = -45. Suppose -1422*o + 31624 + 13287 = -593. What is the least common multiple of o and g?
96
Suppose -24*x + 27*x = -5*d - 14, d = -4. What is the lowest common multiple of x and (-4)/(-6) + (-50)/(-6)?
18
Suppose -6*z + 4*z + 5 = p, -5*p + 20 = 5*z. What is the common denominator of ((-3500)/112 - -31)*16*(-6)/(-86) and (-4)/18*(z + -4)?
129
Let d = 35347951/20 - 1766645. Let g = d + -752. Find the common denominator of 133/12 and g.
60
Suppose 5*k - 4*g - 16236 = 0, 147*g - 151*g = -3*k + 9756. What is the smallest common multiple of 36 and k?
3240
Let o(x) = -x**3 + 24*x**2 + 41*x - 89. Let u be o(25). Suppose -7*a - u + 423 = 0. What is the least common multiple of a and 374?
2992
Suppose -2*t + r + 10 = 4*r, 4*r - 5 = -t. Suppose -524 = -3*g + 2*m - 4*m, 2*g + t*m - 342 = 0. What is the lowest common multiple of 80 and g?
880
Let t(m) = 4*m - 6. Suppose -30*y + 10 + 50 = 0. Suppose y*u + 3*o = -3*u + 110, u + 4*o - 22 = 0. What is the smallest common multiple of t(4) and u?
110
Let t be (-1 - -9) + (4 - 3). Suppose -11 = -4*n + 29. What is the smallest common multiple of n and (390/(-50) + t)/(3/50)?
20
Let w = 13507 - 13486. Suppose 0 = f + 2*o - 13, 3*f - 2*o - 15 = -0*o. Calculate the lowest common multiple of w and f.
21
Let n = -27514 + 1623363/59. Calculate the common denominator of n and -23/6.
354
Let o be (78/9)/((-4)/(-144)). Suppose -8*f + 14*f - o = 0. What is the least common multiple of f and 32?
416
Suppose 32*l - 821 = -4*i + 31*l, -3 = -3*l. Suppose -i*f = -201*f - 256. What is the smallest common multiple of f and 72?
576
Calculate the common denominator of ((-4107)/2775)/((-1484)/30) and 89/60.
22260
Let l = -7419 + 9119. What is the smallest common multiple of l and 6?
5100
Suppose 3*h + 503 = y, 5*h + 986 = 2*y + 9*h. Calculate the least common multiple of 497 and y.
497
Suppose 221*x = 223*x - 4*q - 4780, x = 5*q + 2411. Calculate the least common multiple of x and 396.
2376
Let f = -45175/11 - -4110. Let k = -101 + 86. Calculate the common denominator of f and -3 - (-1)/6*k.
22
Suppose 2*d - 1704 = -5*g, -2*d - 4*g - 1668 = -4*d. Suppose -849*u + d*u = -7. Calculate the least common multiple of u and 39.
39
Let x = 436416 - 1050016825/2406. Calculate the common denominator of x and -93/8.
9624
Let s(n) = -208*n - 240. What is the lowest common multiple of 2156 and s(-2)?
8624
Let t = 95 - 95. Suppose -19*d + 14*d - 180 = t. What is the smallest common multiple of 18 and (-20)/3*d/20?
36
Let q = 28 - 22. Let g = 88 + -85. Suppose -3*l + g*n + 63 = 0, -19 = -2*l - 4*n + 5. What is the lowest common multiple of q and l?
18
Let u = -3889/35 - -726/7. Let s = -2181/4 - -194235/356. Find the common denominator of u and s.
890
Suppose -5*x - x = 84. Let z(m) = -3*m - 33. Let v be z(x). Let r = 33 - v. What is the lowest common multiple of r and 10?
120
Let z = -16 + 72. Let q = 73 - z. Suppose -16*a = -q*a + 4. What is the lowest common multiple of 7 and a?
28
Suppose 0 = -5*k + 3*b + 73, -2*k + 7*k + 3*b - 97 = 0. What is the least common multiple of 24 and 5 + (k + -16 - (-15 - -1))?
120
Let d be (-228)/(-12)*21/((-9)/(-3)). Suppose 0 = c - 141 + d. Let x = 18 - c. Calculate the lowest common multiple of 1 and x.
10
Let g be -8 - ((-3786)/475 + 0). Let o = -25049/4275 + g. What is the common denominator of o and 4/5?
45
Calculate the lowest common multiple of (-9 - 36/(-30)*8) + 1988/20 and 3120.
15600
Suppose 19771 + 5666 = -289*m - 3463. Suppose 0 = -i - 2*i - 312. Let y = m - i. What is the least common multiple of 3 and y?
12
Find the common denominator of 26/21 and 2/(-12)*-6 - ((-9150)/(-1953))/5.
651
Calculate the common denominator of (274/3)/(2*2) and ((-183)/54*3)/(49/(-14) - 1).
54
Suppose 18*b - 1377 - 1305 = 0. Let d = b + -141. Let u(o) = -8*o. What is the lowest common multiple of u(-2) and d?
16
Let z be (505 - 2/(-1))*1. Let g = z + -303. What is the lowest common multiple of g and 6?
204
What is the common denominator of (10/(-5))/((-12)/(-93)) and (-13)/(260/126) + -1?
10
Let j(f) = 41*f**2 - 16*f - 38. What is the smallest common multiple of j(-4) and 14?
4774
Let v = -8834781/388 + 22770. What is the common denominator of v and (-81447)/11934 + (-6)/26?
3492
Let v = 657863/90 + -7310. What is the common denominator of (47/564)/((-120)/2260) and v?
360
Find the common denominator of 65/18 and (67/60)/(2349/324).
2610
Let s = 20 - -12. Suppose 0 = s*d - 34*d - 206. Find the common denominator of d/(-99) - 7/(308/(-8)) and 7/6.
18
Let z be -14*(0 - 38/4). Suppose 149*w + 100*w = 996. Find the common denominator of (-5)/((-10)/w) - z/22 and 5/8.
88
Let d be 6*(31/2 - 4). Suppose r = -5*s - 55, 5*s - 4*r + d = -11. Find the common denominator of (26/18)/(s/(-45)