nator of -10/33 and a.
2211
Suppose 0 = 128*i - 137*i + 810. What is the smallest common multiple of (10 - 9)*(35 + 0) and i?
630
Suppose -7*n + 195 = -3*n - 5*v, -5*v + 105 = 2*n. Calculate the least common multiple of 2635 and n.
26350
Let i = 385946/51 + -7567. Calculate the common denominator of i and -42/47.
2397
Find the common denominator of 103/684 and 18/((-1584)/110) - (3 - (-69)/(-21)).
4788
Let k be (-30)/(-105) - ((-94)/(-7))/(-2). Suppose -n - 3 = 3*b, n + k*b - 3*b + 6 = 0. What is the common denominator of -37/22 and n/(-21) - 4552/(-1232)?
22
Let s = 62906876643572843/10132827470682024 + 2/136737928731. Let u be (2/(-37052))/(2/4). Let n = u - s. Calculate the common denominator of n and 20/33.
264
Let p = -453702 + 319859849/705. What is the common denominator of -43/21 and p?
4935
Let v = -7 - -10. Let j(x) = 2*x**3 - 31*x**2 - 88*x - 33. Calculate the smallest common multiple of j(18) and 11 - (v + 1/(-1)).
9
Let i = 2741149301/6215904 + -895783/2034. Let a = -5/573 - i. Calculate the common denominator of a and 117/40.
160
Let f be ((-2)/(-3))/((-4)/24). Let a = -4/723 - 42601/10122. Find the common denominator of a and (-1*(-318)/f)/39.
182
Let i = 138 - -75. Suppose 0 = -4*n + 17 - i. Find the common denominator of -77/8 and 0 + n/(-60) - 3.
120
Let d = -279503/24 - -11645. Find the common denominator of 53/3060 and d.
6120
Suppose -5*g + 10 = 0, 8*g = -4*x + 5*g + 14. What is the smallest common multiple of ((-5)/(-2))/(7*x/336) and 18?
180
Let s = -8/3073 - 297953/49168. Find the common denominator of s and 19/1732.
6928
Suppose -65 - 19 = -28*f. Suppose 2*d = 5*q - 154, 4*d + 122 = 4*q + f*d. Calculate the lowest common multiple of 48 and q.
240
Let j be (621/(-288))/(3/156). Let c = 5867/56 + j. What is the common denominator of c and -79/94?
658
Find the common denominator of 25/6 and (-3 - (-5822)/1942)*297/54.
5826
Let b(n) = 32*n**2 - 3*n + 1. Let o be b(2). Let p = 354 - 171. Let u = p - o. Calculate the smallest common multiple of 22 and u.
660
Suppose 3*b - 5*i = -41294, 5*b - 2*i + i = -68816. Let d = b - -344134/25. What is the common denominator of 111/10 and d?
50
Let y = 7933/23496 + -45/979. Find the common denominator of y and -71/36.
72
Find the common denominator of 131/984 and (-282)/2961 + (-46)/56.
984
Let m(o) = o**3 + 3*o**2 + 2*o + 22. Let l be m(0). Find the common denominator of l/(-187) + 1623/2380 and 89/40.
280
Suppose -5*w - 1176 = -13*w. Suppose 451 = 8*j + w. What is the lowest common multiple of j and 4?
76
Let u be (24*-14)/2*(-2)/(-1). Let h = u - -346. Suppose v - 3 = -0*v. Calculate the smallest common multiple of v and h.
30
Let t = 10081/40326 - 72/517. What is the common denominator of t and 30/1001?
6006
Let t = 219/7 - 2887/84. Find the common denominator of (-16)/20 - (-3 + (-553)/(-40)) and t.
24
Let g(b) = -46*b**2 - 16*b - 8. Let o be g(-3). Calculate the common denominator of 13/((-520)/16) - o/160 and -5/2.
16
Calculate the common denominator of 6/1568*7106/(-2508) and -99/490.
7840
Let b = -43 + 63. Let n = b + -2. What is the lowest common multiple of (1/(-3))/(95/(-30) - -3) and n?
18
Let h be 800/425 - ((-96)/(-51) - 2). Suppose 4*p - 5*s - 90 = -h*s, p - 4*s = 29. What is the least common multiple of p and 12?
84
Let o(b) = -b**3 + 10*b**2 - 17*b + 14. Let p be o(8). Suppose 232 + 140 = p*d. Calculate the lowest common multiple of 22 and d.
682
Let b(w) = 8*w - 6. Suppose 4*h + 0*h - 164 = 0. Calculate the lowest common multiple of b(1) and h.
82
Calculate the lowest common multiple of (182/(-105) - 2/(-5)) + (-15204)/(-63) and 60.
240
Suppose -2*o + 69 = r - 35, -2*o + 2*r + 116 = 0. Let d(b) = 97*b**3 - 2*b**2 + 3*b + 1. What is the least common multiple of o and d(1)?
594
Let t = -63 + 84. Suppose 5*s + t = 8*s. Calculate the lowest common multiple of 2 and s.
14
Let c be ((-4)/35)/(6301/(-5)). Let l = -810377887/264642 - c. Let d = l - -3077. Find the common denominator of d and -47/18.
18
Let d = 256549/90 - 2850. What is the common denominator of ((-66)/440)/(1/(-11)) and d?
180
Suppose -79 - 133 = -2*i. What is the least common multiple of i and 134*((-25200)/(-5025))/84?
424
Find the common denominator of 34006/122304 - 1/3 and -59/26.
416
Let o(c) = c**3 + c - 5. Let g be ((-6)/548)/(3 - (-140)/(-49)). Let a = 9964/411 + g. Calculate the common denominator of a and o(-3).
6
Suppose 2*v + v = -y + 7, 2*y - 5 = 3*v. Let o(m) = m**3 - 12*m**2 - 13*m + 17. What is the least common multiple of y and o(13)?
68
Suppose 0 = -4*h + k + 585, 6*k - 288 = -2*h + 2*k. Find the common denominator of h/32 + 7/28 and (-9 - 3180/(-352))*(-53 - -1).
176
Let o = -286801/2967 + 290/3. Let t = 24806/26703 - o. What is the common denominator of 2 - 38/(-27)*(-9)/12 and t?
54
Suppose 5*z = -m - 5 + 1, -3*z + 4 = -m. Let n(g) = -g**3 - 2*g**2 + 8*g + 3. Let v be n(3). Find the common denominator of (z - 71/15) + v/90 and -31/24.
120
Let c = -9145 - -9209. What is the least common multiple of c and 2992?
11968
Let m(s) = 6*s**2 - 30*s - 31. Let t = 939 + -940. What is the least common multiple of 247 and m(t)?
1235
What is the common denominator of (-9 + 3806/495)/((-28)/(-12)) and -22/261?
9135
Let y = 19714 - 19692. Calculate the lowest common multiple of 460 and y.
5060
What is the common denominator of 19/18 and ((-21)/1*1/(-62))/((-63)/28)?
558
Find the common denominator of 35/396 + 80/(-160) and 49/44.
396
Find the common denominator of -163/42 and (-12)/26 + (-98103)/(-458874).
1554
Suppose 0 = -3*s + a - 285, -s = -2*s - 4*a - 108. Let g = 112 + s. Suppose -l + 6 = -0. Calculate the smallest common multiple of l and g.
48
Let g = 4 - 0. Let l = -284 + 183. Let m = -83 - l. Calculate the smallest common multiple of m and g.
36
Suppose -18 = -3*f + 63. Let b = -26 + 53. What is the lowest common multiple of f and b - (-1 - -2)/((-10)/30)?
270
Let u = -677/1802 + 62/53. Find the common denominator of u and ((-1755)/(-54) + 17)*1/15*1.
170
Let f(o) = 9*o**3 + 7*o**2 + 6*o - 10. Let k be f(-5). Let r be (-5)/10 + (-23853)/k. Let t = r - 328/15. Find the common denominator of -35/16 and t.
176
Let c(n) = -n**3 + 5*n + 2. Let m(j) be the first derivative of -9*j**2/2 - 14*j + 14. Calculate the least common multiple of m(-2) and c(-3).
28
Let x = 659658/265 - 137768067/55120. Let z = -121/13 - x. Calculate the common denominator of z and -47/24.
240
Let q(y) = -y - 5. Let w be q(-9). What is the least common multiple of 36 and ((-210)/(-6) - w) + 1?
288
Let w = 443059/200 + -8861/4. Calculate the common denominator of w and -101/120.
600
Let o be 2/(-8 + 153/18). Suppose -6*v + o*v = 2*u - 82, -4*u - v = -149. Calculate the smallest common multiple of 144 and u.
144
Let j = 331 + -323. Suppose 0 = 5*s + 5*d - 2920, j*s + 1168 = 10*s + 3*d. Calculate the least common multiple of 4 and s.
584
Let k = -77059707/677 - -455301/4. Calculate the common denominator of k and -79/4.
2708
Suppose 0 = 2*a - 14 + 10. Suppose 19*s + 4 = 24*s - c, a*s + 4*c = 6. Calculate the lowest common multiple of s and 15.
15
Suppose -4*m - 216 = 3*b + 4580, 2*b + 3196 = -4*m. Let y = -1592 - b. Let l = -25 + 45. What is the smallest common multiple of y and l?
40
What is the common denominator of (-10)/(-75) + (-374)/420 and 29/32?
1120
Let h = 88 + -61. Let u = 4860651/98 - 49598. What is the common denominator of h and u?
98
Suppose 0 = -2*r + 4*r - 30. Let t = 134 + 17. Let a = t + -124. What is the least common multiple of r and a?
135
Let c = -9034/215677 - -1/25209. What is the common denominator of 89/1386 and c?
1386
Let d(n) = 5*n - 30. Let c be d(-15). Let o = -69 - c. What is the common denominator of (-98)/o + 9/18 and -30/7?
63
Let y = 10774665/1252 - 8606. What is the common denominator of 131/18 and y?
11268
Suppose -4*i - 30 = -4*p - 10, 5*i + 11 = -2*p. Suppose 0 = 2*c - 3*v + 10, -13 = 3*c - 2*v - 2*v. What is the lowest common multiple of p and c?
2
Suppose -194*l = -196*l + 8. What is the lowest common multiple of -4 + (l/10 - (-48)/5) and 6?
6
Let k = -14/2609 - 137773/93924. Let g(i) = 30*i + 6. Let n be g(3). Find the common denominator of (-14 - 168)*2/n and k.
72
Suppose 3*r = 4*r - 2. Suppose -16*d + 270 = -98. What is the smallest common multiple of d and r?
46
Let y be -27 -