et p be 7/14*(-2)/(-20). Let f = 1223/60 - p. What is the common denominator of 43/6 and f?
6
Suppose -b + 4*b + 5*o - 700 = 0, 3*b + 2*o = 712. Let m = 1 - 1. Suppose -4*c + 20 = 5*p, -3*c + m*c - 47 = -4*p. What is the least common multiple of b and p?
240
Let u be 3 + 9/1*5. Let g = u + -43. Suppose 14 = -g*b + 114. Calculate the least common multiple of b and 16.
80
Let x(a) = 63*a**2. Suppose -t - 1 = -4. Let w be ((-2)/t)/((-2)/3). Calculate the lowest common multiple of 8 and x(w).
504
Suppose 384*c - 116480 = 280*c. What is the lowest common multiple of 384 and c?
13440
Suppose 4*g - 353 = 3*k, 86 + 302 = 4*g + 4*k. Suppose 4*l = 4*z + 457 - 497, 4*z = 2*l + 52. Calculate the least common multiple of g and z.
368
Let s = 126943063/762 - 166592. What is the common denominator of s and -97/4?
1524
Let v = 426/11 + -10345/264. Let x be (4 + 32)*(1 + -2). Calculate the common denominator of 6/18 + 142/x and v.
72
Calculate the common denominator of 0 - -1 - (-19)/(-33) and (1282/(-48) + 8 - -6) + 10.
264
Suppose 5*a - 5*g - 495 = 0, 0 = 2*g - 551 + 537. What is the least common multiple of a and 368?
19504
Let w be 35/(-3)*(-11 - 1). Suppose -w = -5*v + 20. Let c(i) = -i**2 + 36*i - 311. What is the smallest common multiple of c(21) and v?
32
Suppose 2*y = k + 137, 5*y - k - 423 = -88. Let z be ((-16)/(-2) - -3)*-1. Calculate the smallest common multiple of y and 6*(264/(-9))/z.
528
Suppose 19*g + 49 = 30. Calculate the common denominator of -7/6 and (g/((-99)/(-12)))/(30/25).
198
Let q = -165 - -472. Let m = -14425/342 + 870/19. What is the common denominator of m and q/(-42) - (-12 + 8)?
126
Let w be 1*(-3 + (-38802)/(-18)). Let b = 38633/18 - w. Find the common denominator of -29/2 and b.
18
Let y = 68 - 64. Suppose -y*g + i + 2*i = -26, 18 = 2*g - 4*i. Calculate the smallest common multiple of g and 10.
10
Let x(p) = 5*p**2 - 213*p + 154. Calculate the lowest common multiple of 112 and x(44).
3696
Let v(d) = 9*d**2 - 5*d + 1. Let h be v(1). Suppose -5*b - 4*o + 7*o = -307, -119 = -2*b + h*o. What is the smallest common multiple of 5 and b?
310
Find the common denominator of -3 + (-310)/3348*(-5574)/140 and 34/77.
2772
Calculate the common denominator of 21/7510 and (-246)/40 + (85/(-34))/((-5)/4).
15020
Let k = 2490/29 - 2100603/24476. What is the common denominator of k and -65/16?
3376
Let u be (0/(-2))/(1 + -2). Suppose 5*a + u*a = 15, -a = 3*m + 87. Calculate the common denominator of 18/23 and (-2 + 38/20)*m/(-12).
92
Suppose -2*n + n = -0*n. Suppose -k + 1 = n, k = 5*d - 51 - 143. Let s = 50 - d. What is the least common multiple of 2 and s?
22
What is the common denominator of (-141)/42 + (-1)/4 and 28/(784/30)*44/(-42)?
196
What is the common denominator of (-2)/36*64989/(-696) and -29/2248?
4496
Suppose -137 = n + 109. Find the common denominator of -29/3 and (n/(-333))/((-10 - -7) + 1).
111
Suppose 0 = -4*j + 27 - 3. Suppose 0 = w - 652*z + 649*z - 61, 5*w - z - 249 = 0. What is the lowest common multiple of j and w?
294
Let r = -645361/32 - -20170. Calculate the common denominator of -65/1312 and r.
1312
Let l = 64085 - 37617. What is the common denominator of 52/21 and 5 - (l/(-456))/(-13)?
798
Let q = -1944 + 2808. Let f(t) = t**3 - 15*t**2 + 17*t - 38. Calculate the smallest common multiple of f(14) and q.
864
Let y(h) = 3*h**3 - 2*h**2 + 2*h. Let v be y(2). Let t = 28 - v. What is the lowest common multiple of t and 6/(-2) - -10 - -1?
8
Let k be 714/1309 + 566*6/(-418). Let h = k - -1790/171. Calculate the common denominator of h and -27/14.
126
Let p = -17 - -63. Let z(t) = -2*t**2 + 27*t - 4. Let b be z(13). What is the smallest common multiple of b*-8*(-2)/12 and p?
276
Suppose 150*g - 388 = 2201 + 411. What is the lowest common multiple of 4836 and g?
24180
Find the common denominator of 44/5 and (1472/(-256))/((26235/(-12))/3).
2915
Let j = 3 + -1. Suppose -g - j*w + 4 = 0, 0 = -4*g + 3*w + 40 + 20. Let b = -161 - -177. What is the smallest common multiple of b and g?
48
Let y(b) be the first derivative of 3*b**2/2 + 11*b + 14. Let l be y(-5). Calculate the common denominator of (-2)/l*85/(-10) and -15/4.
4
Suppose 3050 - 2490 = 8*c. What is the smallest common multiple of 910 and c?
910
Let d = 5986 + -11208. What is the common denominator of -13/12 and d/6720 + 4/(-10)?
96
Calculate the common denominator of -2 + 0 - -4 - 136/140 and 2*((-20)/16 + 1)*-86.
35
Suppose -4*z + 24 = -4*i, 2*i + z = -2*i + 1. Let h be ((i - -97) + 0)*(-10)/(-15). Let d = h - 33. Calculate the common denominator of -11/2 and d.
2
Suppose 5*s = 1 + 9. Let o(c) = -c**3 - c**2 - 2*c + 14. Let k be o(3). Calculate the least common multiple of (k/(-6))/(4/(-12)*-1) and s.
14
What is the smallest common multiple of 6 and (-49)/(-8) + -6 + (-3219279)/(-328)?
58890
Find the common denominator of 71/1910 and ((-700)/(-77) + -8)/(1719/(-36)).
21010
Let v = -123 - -127. Calculate the lowest common multiple of 150/(-225)*(-462)/2 and v.
308
Suppose g = -g - 2*d - 2, 4*g - 3*d + 4 = 0. Calculate the common denominator of 49/12 and -8 + g - 3544/(-378).
756
Let i = 195951871/372 + -526752. What is the common denominator of 125/12 and i?
372
Suppose -1768 - 1032 = -7*x. Suppose 0 = 15*a + 5*a - x. Let f(l) = 2*l**2 - 7*l + 5. What is the smallest common multiple of a and f(4)?
180
Calculate the common denominator of 13/8 and -19 + (-108)/(-12) - (-189262)/18920.
18920
Let f(y) = y**3 - 49*y**2 + 187*y - 247. Suppose 24 = 4*n - 0*c - 2*c, -n = -5*c + 12. What is the least common multiple of f(45) and n?
136
Let p = -8932 + 9672. Calculate the lowest common multiple of p and 407.
8140
Find the common denominator of 59/830 and 185/300 + 396/330.
4980
Suppose 5*z - 4*z - 2*g = 17, -5*g = -15. Suppose -21*d - 4 = -z*d. Let u(l) = l + 4. Calculate the least common multiple of d and u(0).
4
What is the common denominator of 17/(544/(-96)) + (-2)/5 and -18/2983?
14915
What is the smallest common multiple of 282 and ((-150)/(-25) + 20/(-4))/((-4)/(-88))?
3102
Suppose 5*x = -3*z + 12, 3*x - 4 = 2*z - 3*z. Suppose 4*c = 2*i + 148, 4*c = -z*i - 0*i + 136. What is the least common multiple of c and (-14)/(-35)*15/1?
36
Let x(y) = 505*y - 7954. What is the smallest common multiple of 54 and x(16)?
378
Suppose 10*v + 81 = v. Calculate the common denominator of 179/(-40)*6/v and 37/108.
540
Suppose -4*r + 4*o + 56 = 0, -4 + 20 = 2*r + 4*o. Calculate the smallest common multiple of 64/(-18)*669/(-10) + (-4)/(-30) and r.
1428
Let w = 36169/483135 + 25/1039. Calculate the common denominator of -53/21 and w.
3255
What is the common denominator of (-5)/4*-6*(-231)/56520 and 123/20?
12560
Let x = 38905895668 - 933877907033/24. Let a = x - -5685960. Let p = a + -6467/3. Calculate the common denominator of p and 73/14.
56
What is the common denominator of -55*(-168)/1600 + (-14)/2 and -31/6?
120
Let f be (-51)/12 + 4 - 41/(-4). Let o be -402*(-3)/f - -1. Let g = o - 556/5. Calculate the common denominator of g and -44/53.
265
Let b = -19774905/208 + 95072. Find the common denominator of b and 103/364.
1456
Suppose 11*n = 26722 - 26370. Calculate the smallest common multiple of 146 and n.
2336
Let g = 340 + -224. Let f be (-3)/(2/(-4)*2). Suppose -47 = m - f*m + z, -5*m + 4*z + g = 0. What is the smallest common multiple of m and 5?
120
Let o = -23 - -27. Suppose 0 = -o*y - 2*w + 90, 3*w - 75 = -7*y + 4*y. Suppose 0 = 5*v - 0*i + i, 0 = -4*i - y. Calculate the least common multiple of v and 7.
7
Suppose -5*c + 5*x - 425 = 0, 4 = 4*x - 2*x. Let d = c + 80. What is the smallest common multiple of 10 and 2330/15 + d/9?
310
Suppose -3*x - x = -324. Let d = x + -75. What is the least common multiple of (-30)/(-25)*5/2 and d?
6
Let j = 17 - 113. Let h = -25/12 + 2. Find the common denominator of ((-3)/j)/(9/198) and h.
48
Let x = 13427 + -13363. Calculate the lowest common multiple of x and 1220.
19520
Let i(a) = -a**3 + 5*a**2 + 5*a + 11. Let v be i(5). Let s = -34 + v. Calculate the least common multiple of 38 and (3/(-2))/(s + (-332)/160).
380
Let n = 33845/52 + -651. Find the common denominator of n and 819/168 + -1 + 0.
104
Calculate the lowest common multiple of 4/12 + (-214)/(-6) and (-1 - 17/(-2))*(-520)/(-1950).
36
Let w = 5077 - 5065. What is the least common multiple