1 - -5148480009967/8514. Let g = z - t. Calculate the common denominator of 89/8 and g.
88
Let s(k) = -k - 6. Let u be s(0). Find the common denominator of (1 + (-83)/9)/(32/(-12)) and (89*1/u)/(-3).
36
What is the common denominator of -22/153 and ((-20)/(-216))/(((-243)/(-252))/(-3))?
4131
Suppose -5*l + 92 = 127. What is the common denominator of (10 - 3)/(-1 + 1/l) and -67/22?
88
Let k be 362/18 + (-3)/27. Suppose z + z - k = 0. Calculate the lowest common multiple of z and 4.
20
Let n(g) = 2*g**3 - 3*g + 10. What is the smallest common multiple of n(0) and 16?
80
Calculate the least common multiple of (2/(-2))/((-2)/10) and 64.
320
Suppose 0 = 2*d + p - 4, 5*d + 2*p - 11 = 1. Calculate the common denominator of -1 + -1 + (-1551)/(-110) and d/(-48)*58/(-2).
60
Let j = -157 - -213. What is the smallest common multiple of j and 126?
504
Calculate the common denominator of 4/1476*(-678)/(-4) and 93/4.
492
Let x = 29521 - 2214139/75. Calculate the common denominator of x and 59/288.
7200
Let c = -43078/31 + 1390. Let n = c + -4205/372. Find the common denominator of -7/12 and n.
12
Let h be ((-10)/(-3))/(4/(-6)). Calculate the lowest common multiple of 8 and 92/6 + h - (-4)/6.
88
Let t = -69 - -51. Let g(d) = d**2 + 16*d - 16. Calculate the least common multiple of 10 and g(t).
20
Let x(f) = f**2 + 9*f - 1. Let v be x(-10). Suppose 147 + 147 = 21*j. What is the smallest common multiple of j and (-3)/(v/(-12)) - 2?
14
Let w = 6079/410 + -202/41. Calculate the common denominator of w and 59/549.
5490
What is the common denominator of 65/18 and ((-644)/(-21) + -7)*(-2)/(-12)?
18
Let t(h) = -h**3 + 9*h**2 - 5*h - 6. Let o be t(9). Let s = -30 - o. What is the least common multiple of 24 and s?
168
Suppose 2*g = 4*g - 120. Calculate the common denominator of -55/3 and (-48)/g - (-74)/(-20).
6
Let m(x) = x + 12. Let v = 137 + -128. Calculate the smallest common multiple of v and m(13).
225
Suppose 18 + 12 = 5*r. Calculate the smallest common multiple of 9 and 1 + -2 + r - (4 + -5).
18
Calculate the common denominator of 101/18 and 218*45/(-7614)*3/(-10).
846
Let s(o) = 14*o + 29. Let l(y) = 5*y + 10. Let n(m) = -11*l(m) + 4*s(m). Calculate the least common multiple of 14 and n(-4).
14
Suppose 2*b = 4*i - 9*i + 16, 13 = b + 5*i. Suppose -24 + 6 = b*a. Calculate the common denominator of (a/(-16))/(2/7) and -93/10.
80
Suppose 3*u + 0*t = -2*t + 17, 0 = -5*t + 20. What is the common denominator of -53/42 and (-114)/90 - (3 + (1 - u))?
210
What is the common denominator of 87/44 and 399/84 + -1 + 1 - -6?
44
Let c = 4421/10 - 438. Let v = 425237/62 + -6858. What is the common denominator of v and c?
310
Let y = 3/5138 + -32351/408471. What is the common denominator of -17/2 and y?
318
Suppose 8 = 2*v + 4*n, -2*v + 10 = -0*n + 3*n. Suppose -4*k = 3*t - 2*k, 0 = -5*k. Suppose 2*g - g - 16 = t. What is the smallest common multiple of g and v?
16
Let b = 10 + -10. Let r(d) = -d**3 + d + 16. Let c = 132 + -110. What is the lowest common multiple of r(b) and c?
176
Let a = -88 + 169. Let p be (5 + -1)/(0 - -4). What is the common denominator of -151/18 and p + (a/(-14) - -2)?
126
Let r(c) = -c**3 - 10*c**2 - 3*c - 15. Let q(j) = -3*j + 43. Suppose 17 = s + 3. Calculate the lowest common multiple of q(s) and r(-10).
15
Let k = 251 + -131. Calculate the smallest common multiple of 24 and k.
120
Suppose 2*o + 5*y - 4 = 17, -y = 4*o - 51. Let u = -11 + o. Suppose q + 3*q + 28 = u*t, -2*t - 7 = 3*q. What is the least common multiple of 30 and t?
60
Find the common denominator of -1 - 6 - 2708/(-384) and 41/240.
480
Calculate the common denominator of (19/14)/(-1) - (-200)/25 and -95/1742.
12194
Suppose -1 = -3*w + 8. Suppose 5*s - 5 = 0, -s - 2*s + 12 = 3*z. Calculate the least common multiple of w and z.
3
What is the common denominator of -59/35 and (-622)/(-595) - (-11)/(220/(-12))?
595
Let b = 202 - 193. Calculate the least common multiple of b and 39.
117
Let y = -715 + 719. Calculate the lowest common multiple of y and 60.
60
Suppose -19*k + 18*k + 16 = p, 2*p - 3*k - 27 = 0. What is the least common multiple of p and 25?
75
Let m(a) = -92 + 2*a - 4*a - 3*a - 3*a. What is the least common multiple of (3 + 0)*(3 + -2) and m(-12)?
12
Let n(m) = m**3 + m**2 - m + 6. Let x = -8 + 0. Calculate the smallest common multiple of x/(-2) - (1 + 0) and n(0).
6
Suppose 212 + 548 = 4*h. Suppose -2*p - h = 3*p. Calculate the least common multiple of 12 and p/(-9) + 6/(-27).
12
What is the least common multiple of 22 and (1 + -56)/(12/(-24))*11?
1210
What is the common denominator of (-9)/((-819)/(-13)) + (-582)/728 and -59/10?
260
Suppose -2*s = -2*r + 20, r + 5*s = 2*s - 6. Let u(q) = 2*q**3 - 5*q**2 + 8*q - 11. What is the lowest common multiple of r and u(3)?
66
Calculate the lowest common multiple of 56 and 2 - (-944)/20 - 5/25.
392
Suppose i - 2 = -u, 3*u - 21 = 4*i - 2*i. Suppose -53 = -5*o + 2*v - 6*v, 0 = u*o - v - 43. Calculate the lowest common multiple of 12 and o.
36
Find the common denominator of (-6 - -8) + (-2)/(60/147) and 49/4.
20
Suppose 5*u = j + 1290, 2*u + 9*j - 5*j = 494. Calculate the smallest common multiple of u and 11.
2827
Let x = -8261/4 + 2094. Let h = x + -27. Let q = 14176 - 311785/22. Calculate the common denominator of h and q.
44
Let f = -97/15 + 58/9. What is the common denominator of 38/15 and f?
45
Let n be (-36)/30*(-280)/3. Suppose 6*o = 2*o + n. Let z = -20 + o. Calculate the least common multiple of z and 3.
24
Let i = -12894 - -283759/22. What is the common denominator of i and -77/206?
2266
Suppose -6*h + 7*h = -4. Calculate the common denominator of 19*h/(-21) + (-26)/(-39) and 23/10.
70
Let q = 14 + -7. Find the common denominator of -43/33 and (-2)/(-5) - (4228/60)/q.
33
Let u be (-1138)/(-2)*(-6)/(-3). Suppose 5*m - u = -c, 4*c = 4*m + 2344 + 2304. What is the common denominator of (-2)/(-8) + c/24 and 15/7?
14
Suppose -3*c + 2 = -2*c, -2*s + c + 1326 = 0. What is the least common multiple of s and 80?
6640
What is the least common multiple of 70 and 732/18 + (-2)/3?
280
Suppose -51 = z - 5*a, 2*a + 32 = -z - 26. Let l = 42/311 - -16769/2488. Find the common denominator of l and (-10)/20 - 34/z.
56
Let l = -439 - -443. Let y = -7 + 13. Calculate the lowest common multiple of l and y.
12
Find the common denominator of -2*3861/520 + (-3)/(-5) and -7/74.
148
Suppose 5*b - 15 = -2*t, -9*b = -11*b + 5*t + 35. Calculate the lowest common multiple of b and 11.
55
Calculate the common denominator of -8 + 39/5 - (-53)/240 and -35/72.
144
Let c be (-15)/((-315)/(-14)) + 2/3. Suppose -5*m + 154 = 4*f, c*m = 4*m + f - 132. What is the lowest common multiple of 8 and m?
136
Let z = -459 + 943/2. Find the common denominator of ((-2)/30)/(8*(-7)/(-7308)) and z.
10
Let t = 18457422 + -100131514041/5425. Let j = 5/217 + t. Find the common denominator of j and -91/6.
150
Suppose 3*p + 2*m - 20 = 0, -14 + 4 = -2*p - 3*m. Suppose 5*o = 15 + 15. Calculate the least common multiple of p and o.
24
Let m be -1 + (-2)/((-15450)/103521). Let t = -2/2575 + m. Calculate the common denominator of (-52)/(-14) + 2 + -5 and t.
35
Let f = -313/20 - -19/10. Find the common denominator of 121/120 and f.
120
Let x = -61 + 90. Let y = x - 18. Suppose 2*j - 16 = 2. What is the lowest common multiple of y and j?
99
Let q = -39839/17138 - -5/779. Suppose 4*p = p + 2*c - 190, 5*c - 25 = 0. What is the common denominator of (104/p)/((-24)/10) and q?
198
Let x be ((-2)/3)/(2/(-3)). Calculate the common denominator of (-83)/36*2 + x and 4/(-32)*506/(-55).
180
Let y = -830 + 1608. Suppose y + 646 = -4*q. Calculate the common denominator of (2/24)/(2/q) and 27/5.
30
Suppose 0 = -r - 3, -2*i - 7*r - 1133 = -2*r. What is the common denominator of 21/2 and (i/(-78))/((-4)/3)?
8
What is the smallest common multiple of 764/28 - (-4)/(-14) and 36?
108
Suppose -47*u + 720 = -27*u. Calculate the lowest common multiple of 90 and u.
180
Find the common denominator of 36/91 and (469/201)/((-14)/(-44)).
273
Suppose 14*y - 14 = 7*y. What is the common denominator of 102/28 - (0 + y) and 13/10?
70
What is the common denominator of 80/(-520) - 232/(-325) and 161/30?
150
Suppose -i = 4*r - 16, 3*i - 3*r - 123 = -0*r. What is the least common multiple of 30 and i?
180
Calculate the sm