se 278*t = 251*t + 891. Let s(y) = -4*y + 7. What is the least common multiple of s(-5) and t?
297
What is the common denominator of 173/84 and 46 - 34 - (-12412)/(-1008)?
252
Let k = 19094657 - 10842433. Let q = k - 98837749/12. Let a = -15734 + q. Calculate the common denominator of a and 35/9.
36
Suppose 14 = 7*c - 35. Find the common denominator of 6 - (-18 - (c + -5)) and -27/52.
52
Let d(l) = 5*l - 3. Let i(w) = -4*w + 2. Let b(m) = -2*d(m) - 3*i(m). Suppose -27*g + 213*g = -43*g + 24274. What is the lowest common multiple of b(8) and g?
848
Let g = 14274800561/3336 - 4279017. Calculate the common denominator of g and -37/834.
3336
Let y(f) = 14*f + 11*f - 33*f + 2*f**3 - 4*f**2 - 1 + 11*f. Let v be y(2). Suppose 0 = v*k - 111 + 11. What is the smallest common multiple of 96 and k?
480
Let d(w) = w**3 - 4*w**2 - 5*w - 1. Let k be d(5). Let x = -347 - -384. Calculate the least common multiple of x and (-24)/15*k*5.
296
Suppose 5*h - 2059 = -a - 2*a, 2*a - 1390 = h. Suppose 781 = 4*l + a. Suppose 1 = 2*t - 7. Calculate the lowest common multiple of l and t.
44
Suppose -14*v - 253 = -1009. Suppose -36*b = -30*b - 702. Calculate the smallest common multiple of b and v.
702
Find the common denominator of (-36)/(-234) + 484/910 and 25*(-4 - 363/(-91))/1.
455
Let u = -39186151/3492 - -44887/4. Calculate the common denominator of -45/388 and u.
3492
Let t be (8/(-5526))/((-340)/255). Let c = t - -2251/307. Find the common denominator of -41/10 and c.
30
Let u be 10/75 - 6848/60. Let h = u + 250. Calculate the least common multiple of 170 and h.
680
Let q(a) = 2*a**2 + 28*a + 12. Let g = 94 + -108. Let w be q(g). What is the common denominator of 45/94 and (-2 + (-282)/(-10))/(w/5)?
564
Let s(l) = -16159*l**2 + 8*l + 4. Let b be s(-1). Let h = b + 646603/40. Calculate the common denominator of h and 97/72.
360
Let c = 2438 + -34161/14. Calculate the common denominator of 4/10 + ((-18)/40 - 1) and c.
140
Suppose 142 = 4*a - 438. Let q be ((-81)/45)/(33/(-2255)). Let k = a - q. What is the lowest common multiple of k and 72?
792
Let r(l) = -42*l**3 + l + 1. Calculate the least common multiple of r(-1) and (444/(-36) - -12)*5/((-45)/189).
42
Suppose -w + v = -322, -v + 233 + 89 = w. Calculate the smallest common multiple of 14 and w.
322
Suppose 3*j - 2*w + 3616 = 0, 2*w - 15 = -w. Let a be (-1)/((-18)/j) + 4/(-18). What is the least common multiple of (a + 1)/((-1)/1) and 8?
264
Let u = -25814 - -258227/10. Let z(a) = a**2 + 9. Let n be z(-9). Calculate the common denominator of 2/5 + 879/n and u.
30
Let k = 3860/41 - 5685159/60352. Find the common denominator of k and -47/16.
1472
Suppose 0 = -386*u + 407*u - 9576. What is the smallest common multiple of u and 209?
5016
Suppose -w + 5*w - 28 = -4*y, 4*w = 12. Let a(p) = -8*p + 39. Calculate the smallest common multiple of 35 and a(y).
35
Suppose 3*r = -2*y + 345, -647 = -5*y - r + 235. Calculate the smallest common multiple of 38 and y.
6726
Let n = 19 + -25. Let u(t) = t**2 + 10*t + 6. Let c be u(n). Let a = c - -28. What is the smallest common multiple of a and 4?
20
Let x = -1232 + 133055/108. Let v = -689/54 - x. What is the common denominator of -85/246 and v?
492
Let g = 8283949 + -4870965647/588. Let u = 10/147 - g. What is the common denominator of u and (-9)/(-165)*(-135)/4?
44
Let r be 102/(-4)*64/32. What is the least common multiple of 80 and 1*16*(-357)/r?
560
Let a = 2/1821 + 205753/18210. Find the common denominator of a and -19/64.
320
Let q(v) = -v + 2. Let d be q(1). Calculate the lowest common multiple of (d/(-2))/((-3)/6) and 8/(-10) - 294/(-105) - -3.
5
Let o(k) = k**3 - 15*k**2 + 56*k - 16. Let w = 35 + -31. Calculate the lowest common multiple of w and o(11).
116
Find the common denominator of 1/2*(318/12 + -11) and 95/238.
476
Find the common denominator of (205/74784)/(3/(-68)) and 73/285.
6840
Suppose -3*h + 162 - 95 = 5*o, h = 5*o - 51. Let r(k) = -16*k**3 - k - 1. Calculate the least common multiple of r(-1) and h.
16
Let c = -329069/455070 - 3/4334. What is the common denominator of (-1708)/672 - (-2)/(-4) and c?
840
Let p = 799/6 + -1897/15. Suppose r - 934 = -2*f, -4*f - 6*r + 1864 = -3*r. What is the common denominator of p and -1 + 10 + f/(-63)?
90
Suppose -4 + 0 = p, -1360 = -3*n - 5*p. Let h = n - 436. Calculate the smallest common multiple of 10 and h.
120
Let x(g) = -2*g + 13. Let k be x(10). Let d(z) = 3*z - 15. Let f be d(k). Calculate the least common multiple of 6 and f*((-10)/24 - (-3)/(-12)).
24
Suppose -14*u + 16*u - 17776 = 0. Let l = -159905/18 + u. What is the common denominator of l and 97/30 + 2/(-10)?
90
Let m(g) = -g**2 + 2*g - 1. Let h be m(-3). Let v = 7839 + -125501/16. Find the common denominator of v and (-4)/10*620/h.
16
Let w(m) = -m**3 - 3*m**2 - 13*m. Let r be 18/(-99) - 42/11. Let d be w(r). Suppose -37 - d = -5*h. What is the least common multiple of 24 and h?
168
Let g(d) = d**2 - 37*d + 105. Let h be g(34). Suppose -h*f = -3*y - 450, 4*f + 0*f = -y + 585. What is the least common multiple of f and 12?
588
Let v(g) = -2*g**3 + 4*g**2 - 5*g + 5. Let x be v(2). Find the common denominator of x/(-1)*(-12)/32 and 2/4*(-252)/(-138).
184
Let d be (-3)/9 - 13/(-3) - -14. Let r be (-567)/(-21)*(1 - 0). Suppose d*j + 297 = r*j. Calculate the smallest common multiple of 36 and j.
396
Suppose -6*k + 660 = -21*k. Let x = k + 41. What is the least common multiple of (64/12)/((-1)/x) and 14?
112
Suppose -2751 = 9*s + 3504. Find the common denominator of s/60 - (-10)/(-8) and -70/33.
66
Suppose 41 = -11*j + 9*j - y, 3*j - y + 59 = 0. Find the common denominator of 46/11 and 15/j - (-507)/216.
792
Calculate the common denominator of ((74/28)/(-1))/(1150/(-805)) and (-2)/(-3) - 167/(-24).
40
Suppose 5*h + 4*d - 318 - 1433 = 0, -4*h - 4*d + 1400 = 0. What is the smallest common multiple of h and 9?
351
Let n = 291 - 298. Find the common denominator of n/3*5/(1155/22) and 65/9.
9
Suppose 49 = -3*w + m, -m - 11 = 2*w + 15. Let h = -8 - w. What is the smallest common multiple of h and ((-6)/2)/((-7)/21)?
63
Suppose s + 21 = -7*w + 2*w, -2*s = 2*w + 66. Calculate the common denominator of 12/(s + 0) + (-26)/(-16) and 9/136.
408
Let o = 8/563 + -38911/4504. Find the common denominator of o and 2/5 + (3 - (-22253)/(-7070)).
808
Let w(l) = -3*l + 9. Let i be w(5). What is the lowest common multiple of 14 and (-408)/(-18) + (16/i)/4?
154
Let h(g) = 3*g**3 - 13*g**2 + 5*g - 11. Let q be h(4). What is the smallest common multiple of 66 and (-120)/q*14/4?
660
Let d be (119/(-21))/17*51/239. Let x be 1/2 + 44934/6692. Let n = d - x. Find the common denominator of 79/6 and n.
42
Let i(q) = -305*q**2 - 23*q - 23. Let h be i(-1). Calculate the common denominator of h/40*(7/(-2))/7 and -51/8.
16
Let c = 13228 + -13198. What is the smallest common multiple of c and 567?
5670
What is the common denominator of (51/15 - 4) + 6930/6900 and -37/4?
460
Let g = 2/165809 - -8124621/1658090. Let r = 42/11 + -283/77. Calculate the common denominator of g and r.
70
Suppose 2 = -5*g - 313. Let p = 65 + g. What is the lowest common multiple of (-10)/(-55) - 54/(-11)*p and 4?
20
Let p be ((-16833)/12)/(9/30). Let a = 4665 + p. Let x = 5839/250 + 18/125. Calculate the common denominator of x and a.
6
Let q = -7939/4725 - -1/4725. What is the common denominator of q and ((-318)/6360)/((-1)/31)?
100
Let n be ((-238)/(-187))/((-10)/(-55)). Let r be 4/6 - 21/(-9). Suppose -1 = r*p - n. What is the least common multiple of 10 and p?
10
Let n = 179141 + -168750787/942. What is the common denominator of -25/36 and n?
5652
Let a = 672 + -674. Find the common denominator of -19/79 and (-13*3/(-6))/a.
316
Suppose 0 = 33*h + 1176 - 54. Find the common denominator of (628/h)/((-3888)/(-27)) and -67/12.
1224
Find the common denominator of 109/44 and ((-206)/31 + 0)/(-17 + 46 + 19).
8184
Let m be 0/(4 + 2 + -2). Let g be 242 + (m + 2 - 4). Suppose 6*i = -0*i + g. What is the smallest common multiple of i and 4?
40
Let j(u) = -3*u - 3. Let z be j(-2). Let c be 0 + z - (-2400)/(-796). Let m = 1779/796 - c. What is the common denominator of 33/74 and m?
148
Let j be 2 - 12*(-1 - 0). Let t(z) = 2*z**2 - 29*z + 21. Suppose -5*a + 20 = -10. What is the smallest common multiple of t(j) and a?
42
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