297 + -142/33. Find the common denominator of (3/(-2))/((-22)/60) and y.
297
Let w = 1791/136 + -294/17. What is the common denominator of 12/73 and w?
584
Let j be ((-92)/2185)/(-6*1*-71). Let i = -472168/182115 - j. What is the common denominator of 23/18 and i?
54
Suppose -5*h = 2*p - 2 - 59, -3*h = p - 33. Calculate the lowest common multiple of p and 23.
414
Let p be ((-48)/32)/((-6)/8). Suppose p*r = 3*u - 5, -3*r = 4*u + 21 + 12. Let n(z) = z**2 + 7*z + 3. Calculate the lowest common multiple of n(r) and 23.
69
Let r(d) = 2*d**3 - 12*d**2 + 129. What is the least common multiple of 343 and r(8)?
18865
Let a = 47 - 51. Let c be 60/40 + (-474)/a. What is the common denominator of 82/63 and (1 - 1377/c) + (-4)/10?
504
Let u = -178 + 66. Let i(s) = 3*s**2 - 2*s + 3. Let g be i(3). Calculate the common denominator of 10/7 and u/g + 5 + -1.
21
Let g(o) = -2*o**2 + 11*o + 370. What is the least common multiple of 68 and g(16)?
68
Suppose 0 = 4*x - 6*x + 4*m - 1404, 2*x = 5*m - 1399. Find the common denominator of 51/20 and ((-12)/(-30))/(352/x).
220
Suppose 20 = -61*f + 64*f + 5*v, 2*f + 2*v = 16. What is the smallest common multiple of 90 and f?
90
Let c(t) = 3*t**3 + t**2 - 13*t + 15. Suppose 4*n = -n - 4*f + 28, -4*n + 20 = 2*f. Calculate the common denominator of c(2) and (225/n)/(-3) - 2.
4
Let a = -12986969/31501932 - 8/102279. Calculate the common denominator of a and 63/1672.
11704
Let k be (4/5)/((-4)/(-80)). Let c = -16824/7 - -438145/182. Calculate the common denominator of c and 39/k*4/6.
104
Let h(f) = 4*f**2 - 40*f + 17. Let g be h(-7). Let q = g - 480. Calculate the least common multiple of q and 4.
52
Let p(n) = 2*n + 5. Let w = -81 + 82. Let q(t) = t**2 + 12*t - 1. What is the smallest common multiple of q(-13) and p(w)?
84
Suppose p + 12 + 57 = 0. Let t = p - -68. Find the common denominator of 91/10 and (-30)/(-26) + t - 4928/2457.
270
Let g = -728465660862101/974067840 + 21649399774/28935. Let t = g - -3/33664. Let a = 354 - t. Calculate the common denominator of -50 and a.
9
Let r be (-8)/(-144)*-4 - (-824)/(-18). Let q = -26 - r. Calculate the least common multiple of q and 84.
420
Let f be ((-5 - -6)/2866)/((-2)/448). Let b = f - -7892763/15763. Let i = 496 - b. Find the common denominator of 3/5 and i.
55
Suppose 0 = -4*a - 5*c - 20573, 2*a + 2*c + 15428 = -a. Let l = a + 77176/15. Find the common denominator of l and -62/3.
15
Let h = 1/3639 + -5178413/422124. Let g = 72/29 - h. What is the common denominator of g and 82/10*(0 - -1)?
20
Let o = 11 + 1. Suppose -o*z = -2*z - 300. Suppose -b + 30 = -0*b. What is the smallest common multiple of b and z?
30
Suppose -20*s - 25664 = -52*s. Let n = -772 + s. What is the smallest common multiple of 2 and n?
30
Let m be (-3 - -6)/((-435)/(-5260)). Let o = m + -91561/2552. Find the common denominator of 67/9 and o.
792
Let y = -433/4 - -927/8. Suppose -2*j - 108 = 12. Find the common denominator of ((-231)/72 + 2)*j/18 and y.
72
Suppose 0 = -b - 17*b + 3276. Suppose -11*t - b = -24*t. What is the smallest common multiple of t and 10?
70
Suppose 9*a = 5912 - 3158. What is the smallest common multiple of 884 and a?
7956
Suppose -2*k - 30*k = -6*k - 7644. Calculate the smallest common multiple of 21 and k.
294
Let h(v) = -95*v**3 + v**2 + 2*v + 2. Suppose 13 = -10*x - 3*x. What is the smallest common multiple of h(x) and 15?
480
Suppose 0 = -130*t + 87*t - 188*t + 38808. Calculate the lowest common multiple of 56 and t.
168
Let m = -5/877 - 10456/165753. Calculate the common denominator of 107/126 and m.
378
Let s(k) = 9*k**2 - 7*k + 186. What is the smallest common multiple of 24 and s(-11)?
4056
Let r = 18468 + -58598977/3173. Calculate the common denominator of 25/11 and r.
34903
Suppose 2*o = 3*p - 4808, 13*p - o = -5*o + 20746. Calculate the lowest common multiple of 18 and p.
14382
Let u(c) = 108*c**2 - 1211*c + 262. Let r be -14 - (1 + -2 + 0). Let k = r + 19. Calculate the least common multiple of u(11) and k.
18
Calculate the common denominator of -49/3818 and 91/455*(-1335)/(-24).
15272
Let y(o) = -18*o**3 + o**2. Let q = -163 + 165. Calculate the smallest common multiple of q/(-2) - (-3)/1 and y(-1).
38
Let q = -150 - -147. What is the common denominator of ((-6)/8)/(6/68) and ((-328)/(-36))/((-3)/q - -1)?
18
Let c = -393521885/98442 - 5/49221. Let p = c + 20915/6. Let d = -12511/24 - p. What is the common denominator of d and 51/10?
40
Let j(a) = 3*a + 84. Let t be (660/275)/((-1)/10). What is the lowest common multiple of 342 and j(t)?
684
Let n = 209219/18 - 11617. Calculate the common denominator of -115/42 and n.
126
Let b = -56003/45744 + -14/2859. Find the common denominator of b and -55/12.
48
Let t = -173613371/832 + 208670. Calculate the common denominator of -31/312 and t.
2496
Let c(t) = t**2 - 11*t - 37. Let g be c(-11). What is the common denominator of (0 + -4)*g/1804 and -95/24?
264
Let o(m) = 2*m**2 + 7*m + 6*m - 5*m + 1 - 3*m**2. Let t be o(9). Find the common denominator of 32/(-720)*470/t and 103/14.
126
Suppose 232*g - 241*g - 27 = 0. What is the common denominator of -79/4 and (274/68 + -4)*g/(-2)?
68
Suppose -5*x = -5*t - 70, -2*t + x = -0*t + 27. Let n = 17 + t. What is the least common multiple of n and 16?
16
Let k(i) = 312*i**2 - 930*i + 3. Calculate the smallest common multiple of k(3) and 65.
1365
Let p be 354*((-4)/6)/(2/(-3)). Let x be 11/(-44) - p/(-8). Calculate the common denominator of (x/66)/((-6)/50) and -50/21.
63
Let d(x) = x**2 + 15*x - 11. Let h be d(-16). Suppose -h*i - 2 = 23. Let g = -3 - i. Calculate the lowest common multiple of 16 and g.
16
Let y = -23389064647/5360520 + -37/223355. Let v = y - -4364. Find the common denominator of v and 29/6.
24
Let v(f) = f**2 + f - 3. Suppose 22*r = 41 + 69. Suppose r*o + 4*s - 46 = 0, -3*o - 4*s + 0*s = -34. Calculate the least common multiple of o and v(-4).
18
Let m = -1069365959/18 - -59431387. Suppose 5*a - 5*w + 110860 = 0, 10*a - 14*a - 4*w = 88712. Let q = m + a. What is the common denominator of -99/10 and q?
90
Let t = 361221 + -71722. Let g = 97271507/336 - t. Find the common denominator of g and -43/6.
336
Suppose -n - h + 240 = 0, 2*h = -5*n + 8*n - 720. Suppose 0 = 6*s - 8*s + 4*z + 12, -4*s + 4*z + 32 = 0. Calculate the lowest common multiple of s and n.
240
Let c(s) = s**2 - 5*s - 74. Let h be c(-15). Let n = 232 - h. Calculate the smallest common multiple of n and 7.
42
Suppose -37*n + 5105 + 1555 = 0. Calculate the least common multiple of 42 and n.
1260
Let g = 7215 - 5194813/720. What is the common denominator of -65/68 and g?
12240
Let j be ((-12)/(-18))/(-1 - 530/(-528)). Suppose -8*l - j = -30*l. What is the least common multiple of l and 112?
112
Let x = -54/232139 + 2497122625/14624757. Let u = -1224/7 + x. Let a = 211403/30 + -7046. What is the common denominator of a and u?
90
Let t = 297227045973/42416188 - 14645829/2087. Let f = 2/5081 + t. Calculate the common denominator of f and 41/296.
296
Find the common denominator of 43/1300 and ((-285)/(-300))/(26*3/21).
2600
Let y(j) = -j**2 - 2*j - 18. Let l be y(-6). Let h = l - -41. What is the common denominator of -53/23 and (-4 - 36/8)*(h - -2)?
46
Let f(o) = o**2 + 12*o - 738. Calculate the lowest common multiple of 294 and f(24).
882
Let w = 38169 - 4122391/108. Find the common denominator of 14/81 and w.
324
Calculate the common denominator of (166*(-4)/(-6400))/(-5*(-56)/350) and -83/3776.
37760
Let b be (0 + -8)*15/(-30). Let h be (0 - (-2 + b))*-1. Calculate the least common multiple of 11 and 732/84 - h/(-7).
99
Suppose 13*w - 15*w + 4 = 0. Suppose -w*s + 8*s = 120. Suppose 24*r - 152 = s*r. What is the least common multiple of r and 8?
152
Let r = 17444 + -15057. What is the lowest common multiple of r and 4774?
4774
Calculate the least common multiple of 405/45*(-5788)/(-9) and 16.
23152
Suppose 0 = 6*h + 3619 - 38227. Let g = 34471/6 - h. Find the common denominator of 15/82 and g.
246
Let k be (-1183)/(-66) + (-2)/6. Let y = -283/22 + k. What is the common denominator of y and ((-476)/(-204))/(152/(-20) + 7)?
99
Let w be (-2)/(-6) - (-115)/15 - -4. Find the common denominator of -17 + w + 661/108 and -95/2.
108
Suppose 6527 + 3794 = 20*q + 1361. What is the lowest common multiple of q and 128?
89