 - -508. Find the common denominator of c and q.
10
Suppose -4*c = -3*p - 28, -c + 4*p - 7*p + 22 = 0. Calculate the lowest common multiple of 25 and c.
50
Let f(a) = a + 32. Suppose -16*x + 56 = -12*x. Calculate the smallest common multiple of x and f(8).
280
Suppose 4 = 2*m - 0. What is the common denominator of 14/3*(-231)/220 and (116/(-48))/(m/(-4))?
30
Let a = -956561/36 + 26569. What is the common denominator of a and -23/162?
324
Suppose 0 = -22*q + 14*q + 1760. Calculate the lowest common multiple of 154 and q.
1540
Let r be 3/(1 - (-3)/6). Let t(g) = 9*g**2 + 1 - 2*g + r - 4. What is the least common multiple of 6 and t(-1)?
30
Let f = 9 - 0. Suppose f*l = -37 + 91. Let a = 20 - l. Calculate the smallest common multiple of a and 5.
70
Let g = -3754937/14 - -268367. Let z = -157 + g. Let p = 31311 - 250457/8. What is the common denominator of z and p?
56
Let a(v) = -103*v + 538. What is the lowest common multiple of a(4) and 153?
2142
Let a(d) = d**3 - 22*d**2 - 24*d + 13. Let b be a(23). Let v(m) = m + 18. Calculate the smallest common multiple of v(b) and 32.
32
Let w(s) = -11*s + 1 - 5*s - 5*s**2 + 4 + 2*s**2. Let n be w(-7). Let i = 36 + n. Calculate the lowest common multiple of 7 and i.
42
What is the common denominator of ((-94)/688)/(46/(-184)) and -125/6?
258
Let y = 1081 + -917. Calculate the smallest common multiple of y and 8.
328
Let t be ((-8)/(-3) + -2)*6. Let y = 2576 - 15379/6. Find the common denominator of (-5)/t*17/2 and y.
24
Let i = 1011/440 + -1/44. Calculate the common denominator of i and 23/10.
40
Let w = -4 + 0. Suppose -2*k = -5*h - 7 + 28, 4*k - 3*h + 7 = 0. Let s = k + w. Find the common denominator of -43/6 and s.
6
Let f be (4 + 2)/(2/(-22)). Let a = f + 74. What is the least common multiple of a and 6?
24
Suppose -50 = -5*y - 4*b - 0*b, -5*b - 5 = -5*y. Let k be (-7)/(-21) - (-34)/y. Find the common denominator of 37/8 and ((-97)/k)/(15/9).
40
Let k be 3 - (0/2)/((-5)/(-5)). Suppose -1 = -d + k. What is the lowest common multiple of d and 45?
180
Find the common denominator of -53/24 and -2 + (-48)/(-28) - (-3726)/840.
120
Let j = -214364/23 - -9318. Find the common denominator of -13 and j.
23
Let z = 719 + -15857/22. Let h be 3 - (3/(-108))/((-84)/4629). Let l = h + -2/63. What is the common denominator of z and l?
176
Let i be 1/(-4) + (-117)/(-52). What is the lowest common multiple of (1 + i)/((-9)/(-36)) and 12?
12
Suppose -4 = -l + 8. Let i = l + -10. Suppose 0 = -6*o + i*o - 188. Calculate the common denominator of -71/10 and o.
10
Suppose 2*o - 2 = r, 4*r - 2*o - 14 = -r. Suppose -20 = -2*v + r*s, 3*v - s = -2*v + 95. Calculate the lowest common multiple of v and 18.
180
Let g = -1535/2 - -742. What is the common denominator of g and (-2)/(-7) + 366/(-154)?
22
Let s(q) = -q + 11. Let w be s(9). Suppose -15 = -3*t - w*t. Suppose 0 = -t*p + 4 + 8. What is the smallest common multiple of 40 and p?
40
Let r = -6819/56 + 1041/8. Let d = 31409/8 - 3914. Calculate the common denominator of d and r.
56
What is the smallest common multiple of ((-7)/(98/21))/((-9)/84) and 26?
182
Let l = 5948/3 - 2031. Let t be -1 - 2 - 6682/(-120). Let r = l + t. Find the common denominator of -119/18 and r.
180
Suppose -6*m - 88 = -2*m. Let d = -5364/7 + 760. What is the common denominator of -6 - (-3 - m/6) and d?
21
Find the common denominator of 14/15 and (201/27)/(6 + 2 + -1).
315
Let h = -10987 - -131693/12. Calculate the common denominator of 41/124 and h.
372
Let z = -112 + 197/2. What is the common denominator of 3 + -6 + (-9)/(108/(-280)) and z?
6
Suppose -284 = -4*q - 5*v, 0 = -4*q + 36*v - 35*v + 260. Calculate the smallest common multiple of 72 and q.
792
Let k(s) = s**3 - 8*s**2 - s + 8. Let q be k(8). What is the common denominator of (302/(-12))/(2 + q) and 9/(-3) - 54/32?
48
Let m = 9445/1638 - 103/18. What is the common denominator of m and -79/598?
4186
Suppose 3*f + 31447 = -32462. Let u = 383317/18 + f. What is the common denominator of u and 309/(-18) + (-4)/(-6)?
18
Let h be ((-288)/(-40))/(3/10). Let z be 2 + (3 + h)/3. Let t = 3 + z. What is the least common multiple of 22 and t?
154
Let s = -2 - -3. What is the smallest common multiple of 1/(-2)*(-7 - s) and 116/14 + 216/(-1638) + (-4)/26?
8
Let o = 301/18 + -152/9. Calculate the common denominator of -18/7 and o.
42
Let v = 2559 + -2553. What is the lowest common multiple of v and 282?
282
Suppose 1 = 2*n - 5. What is the lowest common multiple of (-18)/5 + n + 837/45 and 14?
126
Suppose -4*o - 5*f - 24 = -0*o, 3*f = 4*o + 24. What is the least common multiple of 20 and -38*1/(-2) - (3 + o)?
220
Let v = 478 - 403. Calculate the lowest common multiple of v and 5.
75
Let m = 432 + -360. What is the least common multiple of 28 and m?
504
Suppose 2*i - 46 + 32 = 0. Let o(k) = 2*k - 5. Let b = 4 - -2. What is the least common multiple of i and o(b)?
7
Let j(r) = -r**3 + 26*r**2 - 31*r + 87. What is the least common multiple of j(24) and 225?
2475
Let x = -557/888 + 34/37. What is the common denominator of 6/(-12)*(-272)/30 and x?
120
Let m(i) = 3*i + 3. Let w be m(14). Suppose -5*p - 2*s = -w, -3*s = -p - s + 21. Let x = -2 - -7. What is the least common multiple of p and x?
55
Calculate the lowest common multiple of 66/3 - (6 + -4) and -8*(-2)/4 - 0.
20
Let k = -3344 + 13469/4. Let p = 45/22 + -955/198. Let r = 155/72 + p. What is the common denominator of r and k?
8
Let m = 1/393 - 23978/1965. What is the common denominator of -62/159 and m?
795
Suppose 0 = -0*c - 3*c + 108. Suppose 3*s - 87*a + 86*a - 53 = 0, 2*s - 40 = -4*a. Calculate the least common multiple of c and s.
36
Suppose 3*v - 2*v - 4 = -x, x - 2*v - 7 = 0. Find the common denominator of (2/(-12))/(32/(-708)) and (-39)/(-2)*x/3.
16
Let c be (-5*11)/(4/(-12)). Let a be -1*c - (-2 - -1). Calculate the common denominator of -34/5 and (-18)/(-48)*a/6.
20
What is the common denominator of 2300/(-300) - -6*1 and -103/12?
12
Suppose -4*j = -50 - 46. Let x(g) = -g**3 + 38*g**2 + 35*g + 186. Calculate the smallest common multiple of j and x(39).
120
Let z = -178 - -541/3. Find the common denominator of z and (-298)/(-16) - 8/1.
24
Let a = -905379/52 - -17413. Find the common denominator of a and 6/30 + 3653/585.
468
Suppose -5 - 11 = -4*h - 4*r, -5*h - 3*r + 14 = 0. Find the common denominator of -22/25 and h/4 + 40/352.
275
Suppose 208*c - 213*c = -45. Calculate the least common multiple of c and 21.
63
What is the lowest common multiple of 9 and 13*12/624 + 779/4?
585
Let k = -506521/70 - -7235. Calculate the common denominator of k and 41/126.
630
Suppose 3*m - m + 35344 = 0. Let o = m + 318181/18. Calculate the common denominator of o and 137/6.
18
Let c = 301 + -22651/75. Find the common denominator of -8/5 and c.
75
Let o = -209/364 - -1/26. What is the common denominator of -37/56 and o?
56
Suppose -13 - 107 = -5*b. What is the least common multiple of 58 and b?
696
Calculate the lowest common multiple of 8 and (3 - (-38)/(-14))/(2/14).
8
Let d = 7771 - 15601/2. Find the common denominator of (-47)/(-6) + (-1)/(-4) and d.
12
Let w be (-3 - 4/120*-1031017)*1. Let c = w - 34360. Find the common denominator of 47/27 and c.
270
Suppose -3*x - 881 = 4*i, -4*x = -5*i - 0*x - 1078. What is the common denominator of ((-3)/(-12))/(6/i) and 5/18?
36
What is the lowest common multiple of (3 + 2)*(-224)/(-80) and 10?
70
Let s = 30 + -16. Let c = s + 0. Calculate the smallest common multiple of 22 and c.
154
Suppose 0 = 2*r, r = -b + 2 + 3. Let m = b + 0. Suppose m*n - 4 = 3*n. Calculate the lowest common multiple of 2 and n.
2
Let a = 1/11091 - -809627/177456. Calculate the common denominator of ((-113)/40)/1 - -1 and a.
80
Let t = -61/187 + -26041/6732. Calculate the common denominator of t and 97/12.
36
Suppose 2*w - 3*w - 6 = 0. What is the common denominator of (-190)/(-66) - w/9 and -1 - (-98)/24*(20 + -23)?
44
Let o be (-1 - -16)*(-72)/(-20). Suppose -o + 12 = 3*a. Let j = a + 24. Calculate the smallest common multiple of j and 1.
10
Let t = -6/2167 + -327181/13002. Let a be ((-1100)/15)/(1/6). Find the common denominator of (18/(-16))/(10/a) and t.
6
Let o = -9151/8 + 1145. What is the common denominator of (-85)/14 - (0 - 1) and o?
56
Let m = 862 + -4268/5. Let w be (-125)/165 + 2/(