63. Calculate the common denominator of -155/252 and f.
252
Calculate the common denominator of 7 + (9 - 4186/168) and -59/441.
1764
Calculate the common denominator of (-3)/((-108)/7)*(-6)/36*-342 and -5/174.
348
Suppose 17*i - 25*i + 2960 = 0. What is the lowest common multiple of 148 and i?
740
Let m = -114 + 129. Let i(s) = -s**3 + 17*s**2 - 25*s - 9. Calculate the least common multiple of i(m) and 12.
132
Suppose 35 - 98 = -6*r + 81. What is the least common multiple of r and 11?
264
Suppose 1374 = 2*z + 4*s, 4*s - 5420 = -5*z - 2009. Calculate the smallest common multiple of 21 and z.
2037
Suppose -3*n + 1222*u - 1224*u = -43, 2*n - 4*u - 34 = 0. Calculate the smallest common multiple of n and (-3)/9 + (-164)/(-6).
135
Let m(a) = -a**3 + 5*a**2 + 2*a - 1. Suppose 4*h - p - 1 = 0, 3*h + p + 5 + 3 = 0. Calculate the lowest common multiple of m(5) and (17 - -4)/h*-1.
63
Suppose 0 = -2*r + 27*r + 450. Let t = 14/219 - 15373/10950. What is the common denominator of t and (-4407)/(-5616) - (-4)/r?
400
Let r be (23 - 21)*43/2. Suppose r = -16*l + 1547. What is the lowest common multiple of 7 and l?
658
Let c = -37211/25 - -1488. What is the common denominator of c and ((-24)/60)/((-1)/3*(-12)/64)?
25
Let g be (554292/(-9254))/6*3/1659. Let i = g + -1/32389. Let h = i + -3994/23779. Find the common denominator of 51/2 and h.
86
Suppose 2*n - 283 = -5*o, n + 0*o - 124 = o. Let x = -77 + n. What is the smallest common multiple of 4 and x?
52
Suppose 0 = -14*b + 165 - 123. Suppose 21 = 3*j + 3*i, b*j - i - 15 = 2*i. What is the least common multiple of 283 and j?
1698
Let r(g) = 22*g**2 - 1607*g + 533. Let x = -5 + 7. Calculate the smallest common multiple of x and r(73).
460
Let x be -3*(-580)/12 - (-1 + 5). Let q = -117 + x. Calculate the lowest common multiple of 16 and q.
48
Let n(b) = -10*b - 4. Let g be n(-2). Find the common denominator of -82/21 and 74/(-14) + g/28.
21
Suppose -4357 - 4421 = -9*h - 2*h. Calculate the lowest common multiple of h and 21.
798
Let j = -145113/26791 - -396/73. Let g = -107383847331/647910791867 + -2/76757587. Let v = j - g. Find the common denominator of 27/10 and v.
230
Let h = 335131/200260 + -490/323. What is the common denominator of -19/868 and h?
4340
Let d = 2249/200 - -1/200. What is the common denominator of d and (-8)/(-2) + (-88)/18*3?
12
Let k be 27/63 - 27222/14. Let d be (2/4)/((-12)/k). Let h = -67 + d. What is the lowest common multiple of h and 3?
42
Let x = -9177995/9792 - -15937/17. Find the common denominator of 41/4 and x.
576
Let l be -5 + -1 + 40526/6739. Let k = l + 11965/3516. Find the common denominator of (-3)/10*(-2)/(-6) and k.
60
Let g(i) = -i**3 + 26*i**2 + 24*i + 29. Let a be g(27). Let s = 75 + a. Suppose s*v - 154 = 16*v. What is the smallest common multiple of 222 and v?
2442
Calculate the common denominator of 12/13 and (-8 + 9)*(-16)/80 + (-2961)/(-9930).
8606
Let u = 8493/5536 + -1/346. Let w be 2*(9/(-6) + 5). Find the common denominator of u and (-2)/(-3) + 772/(-24) + w.
32
Suppose 13*w - 78 = 403. Suppose 4*v + i = 480, v = -i + 83 + w. What is the lowest common multiple of v and 15?
120
Let l(k) = 41*k**2 + 29*k + 9. Let b be l(-6). Let n = b + -11849/9. Find the common denominator of -21/71 and n.
639
Suppose 4*x - 3*y - 15 = x, 5*x = -4*y + 25. Suppose 3*z + 0 + 40 = -n, 36 = -2*n + x*z. Find the common denominator of -69/20 and 220/42*(0 - n/96).
180
Let k(r) = -5*r - 89. Let p be k(-17). Calculate the common denominator of (-530)/4*p/(-320) and 267/108 + 4/(-6).
288
Suppose 0 = 5*g - 2*k - 273, -4*g - 68 = -3*k - 285. Find the common denominator of (-3)/g*3675/(-42) and 27/11.
22
Let s be 42/189 - (-22)/(-18). Let u be -1*(-52 + 2 + s). What is the smallest common multiple of u/34 + 18/4 and 32?
96
Let i be (-1)/1 + 17 - (-67 + 64). Suppose -i*f + 300 = -9*f. What is the lowest common multiple of f and 111?
1110
Suppose 184*y - 5*q + 5 = 187*y, 2*q + 10 = 0. Let k(d) = 2*d**2 - 20*d + 32. What is the smallest common multiple of k(13) and y?
110
Let w be (2/(-2 - -142))/((-708)/26028). Let f = -12/59 + w. Calculate the common denominator of 17/14 and f.
70
Let h(b) = b**3 + 8*b**2 + 11*b + 18. Let a be h(-8). Let y = a + 73. Suppose -182 = -y*x - 4*x. What is the least common multiple of 16 and x?
208
Let j = 80416075759/10842 + -96422810/13. Let t = -10/417 - j. Let n = -213/245 + 3891/490. What is the common denominator of t and n?
14
Let a(j) = 64*j - 9. Let s be a(-18). Let h = s - -5864/5. Find the common denominator of 89/56 and h.
280
What is the lowest common multiple of 709 + -35 + (-1 - -6) and 2?
1358
Suppose -29294 = 32*h - 37*h + k, 3*h + k = 17570. Let u = -193735883/234 + 7504090/9. Let m = u - h. Calculate the common denominator of m and -47/6.
78
Suppose 11*x = 20*x + 57123. Let n = 317467/50 + x. What is the common denominator of -21/25 and n?
50
Calculate the lowest common multiple of (36/112)/(18/42) + (-3813)/(-4) and 318.
954
Suppose 3392 = -3*x - 4*q, 3*x + 2*q - 1045 = -4439. What is the common denominator of -16/9 and (6 + x/188)/((-12)/244)?
423
Suppose -124*c = -115*c + 117. What is the common denominator of (-2)/c + (-590)/(-3120) and 79/22?
3432
Calculate the common denominator of (-1636)/(-320) + 9/(-15) - 6 and 47/25.
400
Let v(o) = o**2 - 10*o + 22. Let r be v(6). Let n be r - 24/(-10) - (-608)/5. Let d = n - 110. What is the lowest common multiple of d and 3?
12
Suppose 3*c + 9*h = 4*h - 4027, 0 = -2*c - 3*h - 2685. Let i = c - -3976/3. Find the common denominator of -25/102 and i.
102
Let c = -711 - -1420. Let x be (-28)/(-21) + c/(-264). Let z = 140/11 + x. Find the common denominator of 29/10 and z.
40
Calculate the common denominator of 342/420*(-9)/(15120/50) and -79/140.
3920
Let k = -71459/3383831 - 1/11957. Let u = 499329260/1603760151 + -2873/115653. Let v = k + u. Calculate the common denominator of v and 81/4.
196
Let c = 23 - 18. Suppose 3*y - 2614 = -c*f + 2*y, 0 = -3*f - y + 1570. Let m = 14158/27 - f. Find the common denominator of m and -28/3.
27
Let c = -137 - -150. Let f(r) = -r**3 + 14*r**2 - 9*r + 18. Let h be f(c). Let p = -4 + h. Calculate the least common multiple of 1 and p.
66
Suppose 0 = -8*l + 7*l + 55. Suppose -z - 3*d = -6*z + 63, -5*z - 5*d + l = 0. Suppose z = p + 2*p. What is the least common multiple of p and 14?
28
Let w = -12022 + 3498395/291. Find the common denominator of w and -13/2619.
2619
Let p(a) = a**3 - 11*a**2 - 17*a + 49. Let s be p(12). Let y be 28/(-6) + 3/(-9). Let q = y - s. Calculate the least common multiple of q and 12.
12
Let k = -18962 - -758567/40. Find the common denominator of 83/3232 and k.
16160
Let v be (-295)/(-15) + (-5)/3. Suppose 28 = v*t - 17*t - a, 77 = 3*t + 4*a. Calculate the least common multiple of 36 and t.
108
Let t be 169/9 - 6/(-27). Suppose -16 = -4*z - g, -2*z - g = 3*z - t. Let a = -3441 + 3462. Calculate the lowest common multiple of a and z.
21
Suppose -185 = -3*q - 3*s + 79, -2*q - s + 172 = 0. Suppose -5*w = 4*i - 392 + q, i - 122 = -2*w. Calculate the least common multiple of 6 and w.
60
Let u(l) = -3*l**2 - 132*l + 94. Calculate the lowest common multiple of u(-44) and 158.
7426
Let s(u) = -u**2 + 4*u + 6. Let g = -87 - -53. Calculate the smallest common multiple of 68/(-17)*g/8 and s(5).
17
Suppose -5*s - 27 = -3*y - 87, 0 = 5*s - 15. Let b be (2 - (3 + -2)) + y/(-15). Find the common denominator of -20/39 and b/(-7) + (-474)/126.
273
Let v = 67/1914 + -2/145. Find the common denominator of v and -82/33.
330
Suppose -148 - 692 - 282 = -51*s. What is the smallest common multiple of 126/15 - 2/5 and s?
88
Let j(s) = -s**3 + 5*s**2 + 3*s + 7. Let n(r) = 30*r + 34. What is the least common multiple of n(3) and j(5)?
1364
Suppose -x = 4*z + 140 - 150, 2*x + 5*z = 14. Calculate the lowest common multiple of x and 254.
254
Let k be 16/(-24)*(-3)/(-358). Let q = -1993/4296 - k. What is the common denominator of -5/6 and q?
24
Let h(t) = -t**2 - 49*t - 404. What is the smallest common multiple of 4 and h(-11)?
28
Let s be 490/6 + 1/3. Suppose 12 - s = -5*g. Suppose -61*p + 1077*p = -1164*p + 21800. What is the smallest common multiple of p and g?
70
Suppose -619*z + 593*z + 20021 = 911. Calculate the smallest common multiple of 1260 and z.
8820
Suppose -2