913820 - -8/225627. Find the common denominator of 59/132 and q.
1980
Let o = -5 + 8. Suppose -3*t = o*f - 30, 19 + 7 = 3*f + 2*t. Let u = -151482 - -151497. What is the least common multiple of f and u?
30
Let t(b) = 22*b**2 + 33*b + 88. What is the lowest common multiple of 231 and t(-3)?
3927
Let l = -6401 - -19277/3. Let c = -6/2677 - -125903/37478. What is the common denominator of l and c?
42
Suppose 8 + 76 = h. Suppose 1292*w = -s + 1287*w + 117, -3*w = 4*s - 519. Calculate the lowest common multiple of h and s.
924
Suppose 4*n = 3*j - 71, -4*j - 3*n + 106 = -22. Suppose -4*a + 45 = j. Suppose -3*z - a = z + 4*p, 2*p + 4 = 0. Calculate the least common multiple of 4 and z.
4
Suppose 0 = 3*l - 5*x - 8, l - 5*l - 4*x - 32 = 0. Let d = 2177/8 + -273. Find the common denominator of d and (l/(-10))/(48/2260).
24
Let j = 562 - 266. Find the common denominator of 19/8 and (8/((-96)/332))/(j/(-12)).
296
Let c(m) = m**3 - 8*m**2 + 18*m - 2. What is the smallest common multiple of 51 and c(3)?
357
Let p = 24821707/231 - 107453. Calculate the common denominator of -25/49 and p.
1617
Let o = 5248 - 173153/33. What is the common denominator of -1 - (2 - 174/(-90)) and o?
165
Let p(h) = -8*h + 21. Suppose 2*w - 5*m + 1 = 0, 3*w + m = -0*m + 7. Let g be w/(-3) - 4*7/(-42). What is the least common multiple of 24 and p(g)?
168
Suppose -105*w + 110*w + 20 = 0. Calculate the common denominator of 34/181 and 751/120 + w/30.
1448
Let r be (-12952)/(-190)*59 + 1/(-5). Let d(i) = 1005*i**2 - i + 2. Let s be d(-2). Let n = r - s. Calculate the common denominator of 27/4 and n.
76
Let r = 1270 - -1181. What is the least common multiple of r and 1?
2451
Suppose 102*q - 104*q + 60 = 0. Calculate the least common multiple of q and 141*(3/(-6) + 12/8).
1410
Suppose 0 = -8*g - 149 - 283. Let a = 81 + g. What is the smallest common multiple of 3 and a?
27
Let p be ((-25)/75)/(1 - (-146)/(-144)). Calculate the lowest common multiple of 42 and 24/p + 0/(-2 + 1).
42
Calculate the common denominator of -23/7800 and (0 + 85/6)*((-53312)/(-1280) + -42).
7800
Let r(w) = -3*w**3 - 5*w**2 + 15*w + 12. Calculate the least common multiple of r(-6) and 87.
11310
Let n = 1034 + 617. Let t = 13241/8 - n. Let a = -156145/16 - -9755. What is the common denominator of t and a?
16
Suppose 2*g + 88 = -2*b + g, -4*b - g - 172 = 0. Calculate the common denominator of 37/9 and 564/b*(-14)/72.
18
Suppose -3*o - 19 = -40. Suppose 0 = -o*m - 0*m + 140. Suppose b - 3*b = -3*a - 134, -5*a - 200 = -3*b. What is the smallest common multiple of b and m?
140
Let i be (-1)/3 - 70/(-21). Suppose 3*c + i = 0, -b + 4*b - 17 = -c. Let z = -1931 + 1936. What is the least common multiple of b and z?
30
Suppose 0 = -33*u + 49*u - 13648. Let c = -23024/27 + u. What is the common denominator of -74/27 and c?
27
Let n(h) = -3*h**2 - 49*h - 48. Let l be n(-20). Let k = -252 - l. Calculate the lowest common multiple of 8 and k.
16
Let o = 9628 - 9013. What is the least common multiple of 12 and o?
2460
Let q = 1115 + -662. Suppose q = 12*i + 117. Calculate the least common multiple of i and 24.
168
Suppose -7*c - 823 = -193. What is the common denominator of 47/10 and ((-365)/(-25) - 4)*9/c?
50
Let y = 104406401/12 - 8716281. Let z = y + 15738. Calculate the common denominator of 53/28 and z.
84
Let a = 191963/221 - 65383225/71162. Let j = -1284/23 - a. What is the common denominator of j and (-170)/184*18/(-15)?
322
Suppose -2*q - 2 = 0, -3*l + 14*q = 16*q - 1516. What is the smallest common multiple of 110 and l?
2530
Let j = 42394 + -7631009/180. Let n = 42/379 + -18568/10233. Find the common denominator of j and n.
540
Suppose 7*s - 84 + 5985 = 0. Let c = -5993 - -47845/8. Calculate the common denominator of 2/(-8) + -3 + s/(-36) and c.
24
Suppose -38*z + 58 = -322. Calculate the common denominator of -101/144 and 1/z - (-8780)/(-800).
144
Let n = -85 + 39. Let s = n + 49. What is the common denominator of 3 - s/(132/193) and 67/8?
88
What is the smallest common multiple of -66 - -78 - (-3 + 11)/1 and 160/6*18/4?
120
Suppose 6*j = -1671 + 567. Suppose 2*q - q + 1144 = 3*r, 0 = -4*r - q + 1516. Calculate the common denominator of ((-9)/24)/(r/j - -2) and -113/18.
36
Let j = 9920257/6855816 - 3/207752. Let k be 320/396 + 84/(-189). Let a = k - j. What is the common denominator of -31/30 and a?
60
Let a = 176431 + -38109167/216. Find the common denominator of 17/104 and a.
2808
Suppose 42 = 4*a + 2*c, 0*c + 15 = -5*c. Suppose 5*i - 25 = 0, 4*j - 4*i - i - 7 = 0. Calculate the lowest common multiple of j and a/9*-1*-24.
32
Let k(l) = 235*l + 6. What is the lowest common multiple of k(0) and 235?
1410
Let o = -788/5 - -611/4. Calculate the common denominator of o and (-906)/240*(2 - 0) - -4.
20
Suppose 111*u = 109*u + 4. Suppose 5*i = u*z + 8 + 28, 27 = 5*i + z. Calculate the common denominator of 3 + (-76)/18*i/(-4) and -1/14.
42
Suppose 5*r - 71 + 36 = 0, 4*g + 3*r = 561. What is the lowest common multiple of g and 513?
2565
Let g(u) = 18*u + 35. Let j be g(-2). Find the common denominator of 3/(j - -4) - (-87)/(-40) and 75/8.
40
Let t(a) = 4*a**2 + 20*a - 505. Calculate the smallest common multiple of t(13) and 32.
13792
Suppose -135 = -2*a + 5*g - 5, 0 = -4*a + 5*g + 240. Suppose -125 = -4*l + 395. What is the least common multiple of l and a?
1430
Calculate the common denominator of (58/7076)/(20/(-47)) and 25/6.
7320
Let u(j) = -j + 5. Let f(z) = -203*z + 1223. What is the least common multiple of u(-5) and f(6)?
10
Calculate the common denominator of (-75129)/(-853800) + 504/(-6300) and 93/22.
125224
Let a = -689/62 + 50/31. Let r be (-248827)/(-225)*(-20)/(-4472). Let y = -4/2795 + r. Find the common denominator of y and a.
18
Let c = 138187/12 + -11510. Find the common denominator of -97/228 and c.
228
Let y be 67 + (2 - (-3 - -4))/1. Suppose 0 = -t + 2*t + 2*j - 14, 2*t - 4*j - y = 0. Calculate the smallest common multiple of 20 and t.
120
Suppose -3*z + 3*r = 93, 2*z - 78 = 5*z + 2*r. What is the common denominator of 24/z*((-56)/10)/4 and (2/(-24))/((-5)/(-1070))?
30
Let m(t) = 48*t - 9. Let r be m(-2). What is the common denominator of 14/r - (-266)/(-480) and -117/196?
784
What is the common denominator of 103/80 and (3 + 2464/(-820))*(-2967)/(-276)?
3280
Find the common denominator of -3 + (-6 - (-2588)/264 - 0) and 3237/572 - (6 - 2).
132
Let x be ((-6)/(-4))/((-45)/140). Let g = -38/9 - x. Calculate the common denominator of 103/14 and g.
126
Let w = 3067/63 + -442/9. Let c = 845/168 - w. What is the common denominator of -127/192 and c?
192
Suppose 5*d = 2*v - 6922, d + 5*v + 517 + 862 = 0. Let b be (((-15)/(-12))/(-5))/((-1)/(-5501)). Let z = b - d. Calculate the common denominator of -71/9 and z.
36
Let a(u) = -21*u**3 - 110 + 8*u**3 + 7*u**3 + 5*u**3 + 31*u**2 + 4*u. Calculate the smallest common multiple of a(31) and 9.
126
Let l = -11 - -6. Let y(u) be the third derivative of 7*u**5/60 + u**4/6 - u**3/2 + 34*u**2. Calculate the lowest common multiple of 7 and y(l).
1064
Let w(l) be the third derivative of l**6/120 + l**5/12 - 3*l**4/8 - 4*l**3/3 + 18*l**2 + 2*l. Calculate the smallest common multiple of 133 and w(-6).
1330
Let l = -446 - -451. Calculate the lowest common multiple of 84 and l.
420
Suppose 4*z + 2237*d - 384 = 2236*d, -5*d = -z + 117. Let a(c) = c**2 + c + 4. What is the least common multiple of z and a(0)?
388
Let o(d) = d**3 - 21*d**2 - 40*d - 6. Calculate the lowest common multiple of o(23) and 36.
396
Suppose 63*i - 301 = 79 - 2. Let w(c) = -c**2 - 4*c - 2. Let x be w(-3). Let j = x + 26. What is the smallest common multiple of j and i?
54
Let u = -8341/20 - -421. Find the common denominator of 42/(-4)*(-4752)/(-2016) and u.
20
Let t = -1297 + 73927/57. Let n = t + -320/627. Find the common denominator of -49/82 and n.
902
Calculate the common denominator of 98364/(-927675) - (-12)/150 and -10/279.
5301
Suppose r - 28 = -h + 24, -2*h + 104 = -2*r. Calculate the least common multiple of ((-3)/(-2))/((-63)/126) + 25 and h.
572
Let j(z) = -670*z - 3960. Calculate the least common multiple of -2 + -1 + 0 - -51 and j(-6).
240
Let v = -35 + 50. What is the least common multiple of v and (0 + 0)/(6 - 7) + 33?
165
Suppose -6*x = h - 5511 - 6661, 0 = 5*x - 2*h - 10166. Wha