4*x + 271. Suppose 63 = 12*d - x. Calculate the lowest common multiple of 51 and d.
561
Suppose 48*k = 50*k + 6, 5*x = -2*k + 84. What is the least common multiple of 21186 and x?
21186
Let a be -12*((-36)/8 + 4). Let g = 749 + -739. What is the smallest common multiple of g and a/4 + -2 - (-174)/12?
70
Let x(z) = -z**2 + 22*z - 16. Let h be x(20). Let k = h - 21. Calculate the common denominator of 25/(-10) + k + 214/(-36) and -27/68.
612
Let x = -8206/7 + 3609821/3080. Calculate the common denominator of x and 53/240.
2640
Suppose 5*p - 5934 = 2*v - 84, p = -2*v + 1170. Suppose -17*i + p = i. Calculate the least common multiple of 13 and i.
65
Suppose -g - 2*r + 350 = -152, -498 = -g - 3*r. Calculate the smallest common multiple of g and 340.
1020
Let c = -17325/2984 + 16/1119. What is the common denominator of c and -71/1056?
1056
Let u = 2949 + -2539. Calculate the lowest common multiple of 10 and u.
410
Let d(y) = 68*y - 20. Let r be d(1). What is the common denominator of (5/28 + 0)*6 and 3/(-6) - (339/r - 6)?
112
Let v = -4538 - -1497517/330. Calculate the common denominator of ((-49)/4)/(18/(-8)) and v.
990
Let u be 2/(-6) + 1298/3906. Let y = u - -4567/9765. Find the common denominator of y and -91/8.
120
What is the common denominator of 35/(-21) - (-942)/180 and 167/60?
60
Let q = -5420293/27 + 200753. What is the common denominator of q and 4/6 + (-124)/166?
2241
Let w = 1330 - 1188. What is the lowest common multiple of w and 100?
7100
Let n(g) = 3*g**2 + g - 2. Let c be n(-3). What is the common denominator of 62/(-220) - (-2)/(-5) and (c/4)/11*(-21)/18?
132
Let s = -12 + 21. Let u = 473 + -469. Suppose 0 = -14*f + 10*f - u*b + 40, -5*b + 25 = 0. What is the least common multiple of f and s?
45
Suppose 2*f + 286 = 4*u, -24*u - 4*f = -28*u + 292. Calculate the smallest common multiple of u and ((-21)/6)/7*-70.
70
Suppose 0 = 20*d + 289 + 231. Let l = 559/2 + -319. Find the common denominator of 6/(-18)*d/(-32) + 2 and l.
48
Let d = 352 - 103. Suppose -2 = 4*j - 14. Suppose -2*i = k - d, -2*k + 3*k = -j. What is the smallest common multiple of i and 12?
252
Let g = 20 + -53. Let m be g/11 + (-12127)/6. Let r = m + 2034. What is the common denominator of r and -76/21?
42
Let c be ((-303)/(-25))/((-8)/(-7190)). Let o be (156/(-130))/(4/(-36320) - 0). Let t = o - c. Find the common denominator of t and 23/6.
60
Suppose -5*o + 13 = -f, 4*f - 3*o = 9 + 24. Calculate the common denominator of 139/48 and 107/(-108)*(f + -14).
432
Suppose -3*m - 5 = -z, 0 = -3*m - 0*m - 3*z - 21. Let j = -9 + m. What is the smallest common multiple of 26 and 3 + -3 - j/(9/3)?
52
Suppose 4*d + 54 = 7*d. Let o be 2/1 + 18 + -5. Suppose -o = -4*k + 41. Calculate the lowest common multiple of k and d.
126
Let t(d) = -24*d**3 + 2*d**2 - 13*d - 19. Let h be t(-4). Suppose -2*m + 0*m + b + h = 0, 3*b = -3*m + 2415. Calculate the least common multiple of m and 4.
1604
Let r be 158/340 + ((-24)/(-20))/(-6). Let w = -517/476 + r. What is the common denominator of w and 6039/1320 - (-14)/(-2)?
280
Let y = 100173 + -42373147/423. Calculate the common denominator of 58/235 and y.
2115
Suppose 33*f + 25 = -272. Calculate the common denominator of ((-145)/(-575))/(f/15) and -19/15.
345
Suppose -126*g - 43*g - 34815 = -359295. Calculate the smallest common multiple of g and 20.
1920
Let h(n) = -19*n**2 - 1. Let k be h(-1). Let d be 3947/840 + (-4)/k. Let i = d - -41/42. Calculate the common denominator of -79/2 and i.
8
Let o(v) = -v**3 - 18*v**2 - 38*v + 22. What is the least common multiple of o(-16) and (3 - -16) + (-1 - 0)?
1062
Let k be (4/6)/(2/9). What is the common denominator of 204/288 + (-1)/k and -113/14?
56
Let f(t) = t**3 + 10*t**2 - 29*t + 28. Let m be ((-40)/24)/(10/(-36))*-2. Calculate the smallest common multiple of f(m) and 7.
616
Calculate the smallest common multiple of 1953 and (-36)/14*1/((-75)/4900).
15624
Let x = -5 - -29. Let j(h) = -1151*h - 5746. Calculate the smallest common multiple of x and j(-5).
72
Suppose 0 = 2*p - 4, -360 = 7*r - 3*r - 4*p. Let g = 96 + r. What is the lowest common multiple of g and 24?
24
Let o = -165 + 166. Suppose -5*x - 5*i + 55 = 0, 3*i - 14 = 4*x - 51. What is the smallest common multiple of o and (x - 5)*(-12)/(-10)?
6
Suppose -7*g + 11*g - 2114 = -u, 3*g - 5*u = 1574. What is the lowest common multiple of g and 12?
528
Let q be -3*((-30)/9 - -4). Let f be 52456/12192 + (-1)/q. Let t = f - -78/127. What is the common denominator of 19/6 and t?
12
Let k be (4 + 117/(-12))/(2/(-8)). Let g be (k/(-368))/((-5)/140916 - 0). Let m = -1765 + g. Find the common denominator of m and -63/52.
260
Find the common denominator of 1/(-6) + -2 + (-70)/(-294) and 25/606.
4242
Calculate the common denominator of (2 - (-152)/(-72))/(56/(-19) - -3) and -43/807.
2421
Suppose 4*h = 3*b + 2912, -h + 1466 = h - 4*b. Suppose h = 3*n - 340. Find the common denominator of (-2 - n/45) + 4 and 7/6.
18
Let f = 275 + -274. Suppose y + 18 = 48. Calculate the lowest common multiple of (f + -13)*(-135)/y and 4.
108
Let a(x) = -11*x**2 + 18*x + 3. Let o be a(3). What is the smallest common multiple of 8 and 1/(-6) - 259/o?
24
Let j(b) = 8*b**2 - 214*b - 279. Let h = 23 + -15. Calculate the lowest common multiple of h and j(28).
8
Let c be (-580248)/77010 + 6 - -3. Let n = c + 4/755. Calculate the common denominator of 27/26 and n.
442
Let v = 15706 - 15673. Calculate the lowest common multiple of 7458 and v.
7458
Suppose 5*a + 39*l = 43*l + 1992, l + 1587 = 4*a. What is the least common multiple of 360 and a?
3960
What is the lowest common multiple of 133 and 99/(-9) - 3 - -166?
1064
Let r = -491651/142740 - 1/15860. What is the common denominator of r and -29/180?
180
Let l = 172915/11 - 15716. Suppose 3*f - 423 = 63. Find the common denominator of l and (-1)/f*(-208)/(-4).
891
Let l(d) = 2*d**3 - 16*d**2 - 17*d + 21. Let y(f) be the third derivative of -f**4/8 + f**3 - 15*f**2. Calculate the least common multiple of y(-3) and l(9).
30
Find the common denominator of 71/504 and ((-47)/(-30) - (-4)/(-10))*(-6194)/5586.
504
Let c = 81190 - 6820055/84. Let f be ((-123)/180)/(1006/(-23922)). Let b = 2/2515 + f. Find the common denominator of b and c.
84
Let n = -46 - -36. Find the common denominator of (n/15)/((-656)/108) and 23/4.
164
Let s be ((-37)/2*6163)/(19/(-76)). Let l = 331101127/726 - s. Find the common denominator of -139/12 and l.
1452
Let i be 0/(-4*3/3). Suppose -181*m + 170*m + 275 = i. What is the smallest common multiple of 10 and m?
50
Let s be (30 - (10 + 1))*-12. Let g be 31 + -2*(-1)/2. Find the common denominator of s/g + (-6)/(-4) and 61/14.
56
Suppose -6570 = 5*x - 3*f, 3*f + 1218 = 2*x + 3846. Let h = 84189/64 + x. Calculate the common denominator of h and -71/16.
64
Suppose -230*b + 30400 = -40*b. Calculate the smallest common multiple of b and 660.
5280
Calculate the common denominator of 67/3768 and (39*16*7/1176)/(0 - -1).
26376
Suppose -i + 3*s - 3 = -0*i, 3*s + 45 = 5*i. Let o be (12 + 4)*3/i*2. What is the lowest common multiple of 2 and 1 + (1 - 1 - (o - 9))?
2
Let d(z) = -5*z - 2. Let u = -9951 - -9959. What is the least common multiple of u and d(-2)?
8
Let z be (-2)/10 + (-279)/155. What is the lowest common multiple of 206/z*-1 + (43 - 46) and 8?
200
Let z = 25 + -21. Suppose x + 24 - 297 = 5*v, 258 = -5*v - z*x. Let s = v + 56. What is the smallest common multiple of 78 and s?
78
Suppose 90*n - 4283 = -281*n + 1653. What is the smallest common multiple of n and 3600?
3600
What is the smallest common multiple of 950304/672 + (26/14 + -2)*1 and 22?
15554
Let t = 186/7 - 11471/462. What is the common denominator of (56/(-9))/(5*4/(-60)) and t?
66
Let m = -310 + 374. What is the least common multiple of 48 and m?
192
Suppose -2*m + 42 = -2*j, 0*m - 5*m + 57 = -2*j. Calculate the common denominator of 2/15 and ((-1)/(-4))/(-6 + (-492)/j).
495
Suppose -109*b + 97*b = -1848. What is the least common multiple of b and 1456?
16016
Suppose 33 = 3*p + 167*d - 170*d, -25 = 5*d. Suppose -241 = -3*h + 83. What is the least common multiple of h and p?
108
Let r be -2 - ((-35436)/6083)/2. Let m = r - 2/553. Find the common denominator of m and -43/10.
110
Let n = 51799/14 + -3694. Let b = -40807/18 + 2269. Let j = 13/9 - b. W