 -2*h + 18*m + 92, -3*h = 2*m - 154. Calculate the lowest common multiple of 175 and h.
350
Suppose 2*i + 72 = -2*i. Calculate the common denominator of (-2)/4*296/i and -26/3.
9
Let z = 33 - 19. Suppose -2*n - z = -n. What is the common denominator of -101/6 and (n/84)/((-2)/18)?
6
Let t = 10 + -11. Let o = 1742/9 + -28169/144. Calculate the common denominator of (-38)/28 - (2 + t) and o.
112
Suppose -h - 3*g = 6, -h - h = -3*g - 15. Suppose 4*n = -h*p + 20, 3*p + n - 5 = p. Let c(u) = u**2 - u + 8. Calculate the lowest common multiple of 8 and c(p).
8
Suppose 5*n - n = 3*j + 161, -n - 2*j + 54 = 0. Suppose f = -5*s + n, -4*s + 36 = s - f. What is the smallest common multiple of s and 14?
56
Let i = -3002977/60 + 50051. Calculate the common denominator of 99/190 and i.
1140
Calculate the least common multiple of 65 and 8/6 - (-1111)/33.
455
Calculate the common denominator of -4*(-1)/(-2) + 573/120 and 167/60.
120
Suppose 8 = 2*k + 4. Suppose 5*h - 12 = -v, 0 = -2*v + 3*h - 711 + 709. Calculate the lowest common multiple of k and v.
2
Suppose 4*k + 4427 = -1429. Let u = k + 8675/6. What is the common denominator of 676/90 - (-4)/(-10) and u?
18
Let q(i) = i. Let s = 13 + -13. Suppose s*g - 2*n + 16 = 2*g, -12 = -3*n. What is the smallest common multiple of 14 and q(g)?
28
Let y = -84352837/14 + 6019653. Let r = -5556 - y. Let c = -633/2 - -2800/9. Calculate the common denominator of c and r.
126
Let w be ((-6)/(-33) - (-163)/11) + -3. Suppose 3*u - 32 = -8*b + 3*b, 0 = 2*u - 5*b + w. What is the least common multiple of u and 16?
16
Let m(l) = -l**3 + 10*l**2 - 14*l. Let p be m(12). Let t = p + 5467/12. Find the common denominator of t and 3/11.
132
Let a be 3/4 + (-525)/28. Find the common denominator of (-7 - 6468/(-216)) + (-4)/a and (-15)/16*44/(-6).
24
Let t be (6590/(-25))/((-2)/70). Let q = t - 110585/12. Let k = 11733/8 - 1459. Calculate the common denominator of q and k.
24
Let i = 28616 + -11560877/404. Calculate the common denominator of 61/8 and i.
808
Suppose r = 3*z + 65, -r + 21*z - 25*z = -58. What is the least common multiple of r and 4?
124
Suppose -5*w = -5*c - 45, -w + 3*w - 24 = 4*c. Calculate the least common multiple of w and 22.
66
Let t = -1212822 - -713139503/588. Let v = -129/49 - t. Find the common denominator of 3 + -1 + (-9)/4 and v.
12
Let v(d) = -d**2 - 13*d + 2. Let g be v(-6). Let x = -325/7 - -302/7. Calculate the common denominator of x and 18/g*(-24)/(-4).
77
Let c be (-177)/2 - 1 - 59/118. Calculate the common denominator of ((-11)/4)/(5/c) and -49/10.
10
Let g = 1146 - 1014. Calculate the least common multiple of 18 and g.
396
Let h = 11090 + -221721/20. What is the common denominator of 83/136 and h?
680
Let k = -16/557 - -69020/2480321. Let d = k + 360821/142496. What is the common denominator of d and 23/18?
288
Let j = -21 - -33. Let i(p) = p**3 + 5*p**2 - 3*p - 3. What is the least common multiple of i(-5) and j?
12
Let l = -4657/24 + 545/3. Let v(g) = -2*g - 4. Let i be v(-3). What is the common denominator of i/(-5) - (-287)/(-20) and l?
8
Suppose -2*d + 21 = 2*m - d, -2*m + 6 = -2*d. Let q = -50 - -104. Suppose 2*o = q - 14. What is the lowest common multiple of o and m?
40
Suppose -3*d + 6 = 3*x - 0*x, x = -2*d + 6. Let s be (-2)/d*-4*1. Suppose s*u - 3*u + 9 = 0. What is the least common multiple of 4 and u?
36
Let m(r) = r**3 - r**2 + 5*r - 18. What is the smallest common multiple of 45 and m(3)?
45
Let y be 1 - ((-2)/6 - (-20703)/9). Let h = 45913/20 + y. Find the common denominator of h and -61/46.
460
Suppose 18 = 3*l - 2*x, 24 - 12 = 2*l + 5*x. Calculate the smallest common multiple of 171 and l.
342
Let z be (-6)/15 + (-167)/(-5). Let n = z + -15. Calculate the lowest common multiple of n and 22.
198
Suppose 0 = 2*g - 24 - 0. Let q = g + -13. What is the smallest common multiple of (4 + 14)*q/(-3) and 18?
18
Suppose -5*v + 4*q - 22 = 0, 3*v + 0*v + 26 = -4*q. Find the common denominator of v/(-4)*36/(-42) and -7/9.
63
Let l be ((-20)/24)/((-2)/12). Suppose -60 = -l*z + 2*f + 3*f, -5*z = -f - 60. What is the least common multiple of 36 and z?
36
Let j = -6/53 - -1363/1272. Calculate the common denominator of 97/56 and j.
168
Let m = -381 + 6851. Suppose c - m = -c. Let u = c + -71113/22. Calculate the common denominator of u and -5/6.
66
Let g = -12943 + 4439452/343. Calculate the common denominator of g and 99/70.
3430
Suppose -4*w + 2*w + 12 = 0. Let d = -665/2 - -4763/14. Find the common denominator of d and 339/30 - (-3)/w.
35
Let x = 1020 - 1016. Calculate the smallest common multiple of x and 60.
60
Let p = 19326/11 - 1044473/594. Find the common denominator of p and 161/90.
270
Suppose -94*n + 93*n + 16 = 0. What is the smallest common multiple of n and 6?
48
Suppose 0 = -26*u + 17*u + 81. What is the lowest common multiple of u and 9?
9
Let q(k) = 4*k**3 - 29*k**2 + 16*k - 12. Calculate the smallest common multiple of q(7) and 75.
1275
Let b = -852549/289 - -2950. Let t = b + 20511/2312. Calculate the common denominator of t and 55/18.
72
Let p = 7297/4833 - 78/179. Let h = -182627/18 - -10147. Find the common denominator of p and h.
54
Calculate the common denominator of -28/135 and (-9)/(-45) + (-319)/270.
270
Let g be 2/(-12) - 222054/(-36). Let y = g + -61833/10. Let n = y + 791/20. Calculate the common denominator of n and 35/6.
12
What is the common denominator of 393/(-396) + 1 + (-18)/(-24) and -125/36?
396
Suppose -3*v + 50 = 26. Let k(u) = -2*u - 5. Let p(d) = -3*d**2 + 4*d - 2. Let c be p(2). What is the lowest common multiple of k(c) and v?
56
Let h be 32/4*3/(-6). What is the smallest common multiple of 72/45*(-10)/h and 1?
4
Suppose 5*h + 4 = -2*n, 0*n + 3*h + 21 = 5*n. Calculate the least common multiple of 13 and n.
39
Let h = -112361/75 - -1498. Find the common denominator of 123/40 and h.
600
Let h(g) = g**3 + 7*g**2 - 8*g. Let w be h(-6). Let s = w - 76. What is the least common multiple of s and 6?
24
Let w = -3053/4 + 750. What is the common denominator of w and 103/18?
36
Let z = 10046 - 220947/22. Let x(a) = a + 358. Let j be x(0). Let i = j + -2129/6. Calculate the common denominator of i and z.
66
Let j be (-3)/18 - 41/(-228). Let r = j + 435/152. What is the common denominator of r and -43/11?
88
Let q = 192077/24 - 8002. Calculate the common denominator of q and (-28)/11 - 4/(-6) - -2.
264
Let v(y) = y - 26. Let b be v(0). Let o be (13/b)/((-1)/4). Calculate the common denominator of 3/o - (-120)/(-50) and 25/6.
30
Suppose -11*q + 463 + 263 = 0. What is the least common multiple of q and 165?
330
Suppose 3*j - 142 - 113 = 0. Let s(k) = -k**2 + 18 + 85*k - j*k. What is the least common multiple of s(0) and 16?
144
Calculate the common denominator of ((-15)/2 - 6) + 3 and -125/126.
126
Suppose -3*c - 3*t + 12 = 0, 6*t = 4*t. Calculate the least common multiple of c and 20.
20
Suppose 3*u = -3*p + 21, p + 6*u - 13 = 3*u. Calculate the least common multiple of p and 20.
20
Let g = 4 - -92. Calculate the lowest common multiple of g and 36.
288
Let w = -1136 + 626. What is the common denominator of (2/(-6))/(8/w) and 38/7?
28
Suppose -18 = -6*r + 3*r. Suppose -5*w - 3*m = -102, -m - 46 = -2*w + 3*m. Let t = w + -9. What is the lowest common multiple of r and t?
12
Let o = -385/108 + -17/108. Find the common denominator of -62/9 and o.
18
Let l = 9/8187289107571 + 535098840209528414927/164795146996337375070. Let q = -1/236802 - l. Let k = -21/10 - q. Find the common denominator of k and 67/2.
34
Let c = -223349/12 - -18625. Suppose h + 5*z + 26 = 0, 0 = 2*h - 0*z - 4*z - 18. Find the common denominator of c and (-1573)/(-330) + 3/h.
60
Let a = -20 + 19. What is the common denominator of (6/27)/(-1) + 491/(-18) and (a + 124/6)/(-1)?
6
Let g(m) = m**3 + 15*m**2 - 16*m - 21. Let i be g(-16). Let f = i - -11. Let b = 13 + f. Calculate the smallest common multiple of b and 5.
15
What is the common denominator of (-1695)/2772 - (-2)/14*2 and 69/76?
2508
Let r(f) = -2*f**2 + 9. Let g be r(-4). Let z = 1 - g. Calculate the lowest common multiple of z and 8.
24
Let p = -221/40 + 37/5. Suppose 4*r + 96 = -3*i, 0*i - 4*r - 24 = i. Calculate the common denominator of 50/i + (-9 - -13) and p.
72
Let n = 7165/3 - 100511/42. Find the common denominator of n and 0 + 34/16 