309)/(-1617)) and 85/12.
21492
Suppose 0 = -10*q + 7*q - 6288. Let c = -20993/10 - q. Calculate the common denominator of 9/10*41/3 and c.
10
Let x = 3 + 4. Suppose -14*r = -0*r - 686. Let y = r + -40. What is the smallest common multiple of x and y?
63
Suppose -4*j + 7*w = 2*w - 71, -j + 4*w = -15. Let b be j + -2 + -4 - 4. Calculate the common denominator of 67/6 and (11/b)/(130/(-39)).
30
Suppose 0 = -2*d + 2*v + 1842, -d + 10*v + 452 = -442. What is the lowest common multiple of 240 and d?
18480
Suppose -2*u - 5*v + 48 = 0, 0 = -u - 4*v + 39 - 9. Calculate the smallest common multiple of 1186 and u.
8302
Let u be (-651)/62*(-3 - -1). Let q(n) = n**2 - 4*n - 1. Let d be q(4). Find the common denominator of (u/(-105))/(d/((-55)/6)) and 11/12.
12
Let a(r) = -r**3 + 12*r**2 - 6*r - 17. Suppose -2*z = 5*y - 32, -4 = -y + 2*z - 0. Let u be 4 + -2 + 3 + y. What is the lowest common multiple of a(u) and 2?
38
Suppose 0 = -2*f + 5*g - 0*g + 314, 156 = f - 2*g. Suppose -139*t + 140*t - 60*t = -944. What is the smallest common multiple of t and f?
304
Let a = -132/3983761281637 + 168646749094117987929006/2226922556435083. Let v = a - 75730634. Let m = -2862/13 + v. Find the common denominator of m and -25.
43
Suppose -10*a + a = -324. Let z = 58 - a. Calculate the least common multiple of 80/5 + (-3 - -1) and z.
154
Suppose -2*x - 3*x - 55 = 0. Let f = x + 20. Let c(o) = 49*o + 3. What is the least common multiple of c(0) and f?
9
What is the smallest common multiple of 444 and (8/6 - (5 + -3)) + (-160)/(-24)?
444
Calculate the common denominator of -5*1*(60/(-9))/(7014/(-1503)) and -1 - (2 + -1)*19.
7
What is the common denominator of 13/846 and (26/(-1880))/((-10)/(-60)*22/(-11))?
8460
Let b be (3 + 139)*850/(-53430). Let m = -20/411 + b. What is the common denominator of (42/(-44))/(6/(-16)) and m?
143
Let s(r) = -r**2 - 12*r + 85. Let t be s(-17). Suppose -5*q + 71 + 19 = t. What is the lowest common multiple of 21 and q?
126
Suppose 496 = -2*v - 774. What is the common denominator of 32/(-480)*v/(-16) and -17/72?
144
Let v = 50 - 28. Let s(x) = -14*x + 521. Let w be s(37). Suppose 2*h + w*j - 93 = 0, 5*h - 2*j - 226 = -v. Calculate the least common multiple of h and 20.
420
Let l be 6/(-27) - (-72546)/55512. Let i = -1/771 + l. What is the common denominator of i and 51/158?
948
Let t(y) = y**3 + 23*y**2 + 22*y - 6. Let l be t(-22). Let z = 34/3 - 6. What is the common denominator of 29/(l/(-15) - 97/5) and z?
57
What is the common denominator of ((-14)/6)/((-192)/(-31392))*3/(-105) and (5 - 5) + (-150)/104?
260
Let z = 122 + -78. Calculate the smallest common multiple of z and (24/9)/((-59)/12 + 5).
352
Let p(h) = h**2 + 13*h - 66. Suppose 5*r + 0*r = 0. Suppose -2*v = -5*b + 3*v + 115, -5*b - v + 85 = r. Calculate the smallest common multiple of p(5) and b.
72
Suppose 16 + 12 = 4*o - 4*h, -3*o + 25 = -4*h. Let y(z) = 17*z**2 + 2*z + 2. Let c be y(-1). Let k = c + -9. Calculate the smallest common multiple of o and k.
24
Let n be 1 + (5 + -1 - 8). Let m(o) = o**2. Let q be m(n). Find the common denominator of 63/20 and ((-2)/(-9))/(q/((-11475)/20)).
60
Let z(l) = l**2 + 30*l + 30. Let k be z(-29). What is the common denominator of 1/(-6)*(28/k)/(-7) and 23/49?
147
Calculate the common denominator of -1/168 and (-10 - (-19910)/2000)*12/14.
4200
Suppose -39*a - 22*a = 6*a - 515565. What is the lowest common multiple of 21 and a?
53865
Suppose 2*l - 130 = 950. What is the least common multiple of l and 324?
1620
Let r = 185607/23 + -8069. Find the common denominator of r and -12/47.
1081
Let z be (55/(-10) + 6)*16. Suppose j + z*j = 90. Calculate the lowest common multiple of j and 312.
1560
Suppose 5*i = 20, -1099 = 4*h - 3*i - 7843. Calculate the smallest common multiple of 27 and h.
15201
Let x be (1/(-8))/1 - 777/56. Let z(k) = k**3 + 12*k**2 - 29*k + 13. Let i = 21 + -18. Calculate the smallest common multiple of z(x) and i.
27
Let h = 224 + -224. Suppose -6*v - 18*v + 1992 = h. What is the lowest common multiple of v and 11?
913
Suppose -38 = 3*f + 2*g - g, -3*f - 46 = -g. Let w(b) = b**3 + 13*b**2 - 19*b - 60. Calculate the least common multiple of w(f) and 52.
260
Suppose 0 = -194*j + 148*j + 414. What is the smallest common multiple of 351 and j?
351
Suppose -1627 = -31*o + 7642. Suppose 2*g - 347 = -o. Calculate the lowest common multiple of g and 162.
648
Calculate the common denominator of (-35064)/(-3456) + 3*-4 and ((-1)/42)/(4/472).
336
Suppose 20 = 5*l + 5*a, 2*a - 18 = -22*l + 19*l. What is the least common multiple of 222 and l?
1110
Let u = 1000/19 - 81/38. Let j = 79866 + -237089/3. Let x = 848 - j. Calculate the common denominator of x and u.
6
Suppose -3*n = -2*q + 650, -4*n = -4*q + 1192 + 96. Calculate the smallest common multiple of q and 106.
16748
Let z be (2562 - 3)*(2 + 33/(-18)). Let i = -324 - -801. Let v = z - i. Calculate the common denominator of v and -45/4.
4
Suppose -840 = 95*o - 90*o. Calculate the common denominator of o/(-44) - 4 - (-4084)/(-528) and -47/4.
12
Let b = 3 + 8. Suppose 3*y - 72 = 5*p, 5*p - 61 - b = -3*y. Let w = 9667 + -9646. Calculate the least common multiple of w and y.
168
Let t = 1362 - 1252. What is the smallest common multiple of t and 176?
880
Let b be (3*(-6)/54)/(2/(-6)). Calculate the common denominator of 1/32 and ((-2)/(-16)*b)/(12/294).
32
Let d = 377087 + -375201616/995. Calculate the common denominator of d and -47/9.
8955
Let b(p) = 19*p**3 + 5*p**2 - 23*p + 38. Calculate the smallest common multiple of 18 and b(4).
1242
Let b be 2 - 1070/4 - -2. Let p = 214 + b. Find the common denominator of p and -6 - (-272)/32 - (-25)/8.
8
Let j = 599 + -554. Let q(o) = 13*o - 4. Calculate the lowest common multiple of j and q(3).
315
Let h = -37 - -1. Suppose 0 = -0*r + 3*r, -4*r - 20 = -4*q. Calculate the common denominator of -85/6 and 1310/q*1/h*1.
18
Suppose -j + 3*j + 200 = 4*t, t = -4*j + 41. Let v = 61 - t. Calculate the least common multiple of v and 18.
36
Let t be (-10)/16*((-32)/62)/8. Let l = -22577074 + 30795126649/1364. Let n = l + t. Find the common denominator of n and 97/4.
44
Find the common denominator of (-44109)/(-51480) + 3/(-10) and 53/160.
1760
Suppose -27*u - 285*u + 928512 = 0. Calculate the smallest common multiple of 1860 and u.
14880
Suppose 0 = 4*n + 4*y + 352, -3*n - 2*n - 3*y = 446. Let u = -157 - n. Calculate the common denominator of ((-3)/u)/((-4)/(-280)) and -53/18.
198
Calculate the common denominator of -47/171 and 2*-1 - (1600/162 - (-1265)/(-115)).
1539
Let t = -76259/7 - -36604649/3360. Find the common denominator of t and -1/336.
3360
Let b(l) = -10*l - 486. What is the least common multiple of 12 and b(-72)?
468
Let i = -120 - -117. Calculate the common denominator of (2/8 - (-3757)/1564) + i and -99/4.
92
What is the common denominator of -5/462 and ((2000/1936)/5)/(-3)?
5082
Find the common denominator of 7 - (4290/(-760) - -14) and -35/6.
228
Let w = -679927/273 + 32622/13. Let h = 1859/84 - w. Find the common denominator of h and -5/56.
56
Let g(r) = r**3 + 6*r - 3. Let w be g(-3). Find the common denominator of 42/(-63)*(-226)/w and -51/16.
144
Suppose -86*l + 2183 = -746 + 865. What is the lowest common multiple of l and 4?
24
Let o(n) = -16*n - 127. Let s be o(-8). Calculate the common denominator of 89/15 and s*(-695)/180*-2.
90
Let b = 130062/7 - 18584. Suppose -1284 = 3*i - 5*q, 4*i + 4*q = 2*q - 1712. Calculate the common denominator of b and i/6*21/(-140).
70
Suppose -21201 = 4*w + 3*i, -3*w + 2*i - 3*i - 15907 = 0. Calculate the common denominator of -2 + 0 - (-74)/44 and (-4)/(-26) - 14875/w.
264
Let z = 156/25 + -2497/300. What is the common denominator of (-2996)/(-770)*(115/20 + -7) and z?
132
Let j = 185 + -161. What is the lowest common multiple of j and 208?
624
Suppose 4*v + 2*y + 4 = 20, -4*v + 24 = 4*y. Let n be -4*-3*v/(-9684). Let h = 5597/20982 - n. Find the common denominator of 3/16 and h.
208
Let o be (0 + -2)*(-10)/4. Let j = o - -4. Let m = 6382 + -6364. Calculate the least common multiple of j and m.
18
Suppose -3*t + 2 - 8 = 0, -3*t = q + 2. Suppose -4*n = -2*n, 3*n = -q*i + 52. Find the common denominator of -29/8 and 5/8 - (78/12)/i.
8
Find the common denominator of 6*1/2 + 1*1403/(-322) and 2 + (-4)/(648/6