 of s and -101/32.
160
Let q = 1170341/36 - 32513. What is the common denominator of 19/54 and q?
108
What is the lowest common multiple of 2/((90/(-240))/((-6)/4)) and 3*-2 - -2 - -126?
488
Suppose -4*j + 74 = 3*r - 0*j, -3*r + 70 = 5*j. Let v = -3126 + 3138. What is the smallest common multiple of r and v?
60
Let z = -62039/16 - -3873. Suppose 2*t - 41660 = 3*o + 7*t, 5*o - 2*t = -69454. Let n = -333425/24 - o. What is the common denominator of n and z?
48
Calculate the common denominator of -29/756 and 1/4 - (-3864)/(-30240).
3780
Let t = 42467/6 - 7081. Let f = -94 + 34. Calculate the common denominator of t and 0 + 142/f*-3.
30
Find the common denominator of -19/1620 and (-24)/540*198/240.
8100
Let i be (-25245)/(-54) + 6/4. Suppose i = 16*v - 43. Calculate the lowest common multiple of v and 44.
352
Let b(v) = 37*v + 1. Let y be b(1). Calculate the common denominator of (y/3 - -1)/(0 - 2) and 23*(-2)/(-10) + 1.
30
Let p = 4438 + -11552. Let r = 71053/10 + p. Find the common denominator of (588/(-40))/((-18)/5) and r.
60
Let p = 7799 - 93505/12. Let w(o) = o**2 - 6*o - 7. Let z be w(6). Find the common denominator of p and (4 - (-87)/(-21))*z/12.
12
Let m = 1026 - 1018. Let q = 2 - -24. What is the least common multiple of m and 1/(-3 - q/(-8))?
8
Let j = 35861 + -33617. What is the least common multiple of 374 and j?
2244
Suppose 0*b + 17*b = 0. Suppose b = 4*u - 2*u - 3*r - 6, 3*u - r = 9. Calculate the common denominator of -29/206 and -1 + (-195)/(-36) - (-1 + u).
1236
Let v be (248/(-36))/(170/190050). Let u = v + 7702. Find the common denominator of u and 2/(-6) + (-30)/(-99).
561
What is the least common multiple of 30 and (-12)/(-2)*(-658 + 1)/(-114 - -112)?
19710
Let w = -433 + 83. Let g(q) = -2*q - 1. Let n be g(0). What is the common denominator of ((-12)/9)/n + w/72 and -83/18?
36
Let k be -2 + 1607005*((-105)/52 + 2). Let b = -30905 - k. What is the common denominator of b and 67/26?
52
Let z(d) = -4*d + 162. Let r be (-8)/(-40) - 258/(-10). Suppose 0 = -2*v - r + 92. What is the lowest common multiple of v and z(39)?
66
Find the common denominator of 813/110 - (20 - 12) and -61/42.
2310
Let a(x) = 22*x + 3498. What is the least common multiple of 1104 and a(-21)?
12144
Let r = -2564/667 - -22894298/7337. Let p = -3113 + r. Find the common denominator of p and -3 + (-539)/(-36) + 100/(-450).
44
Let n be -3 - 189 - (-2 + 3/(-3)). Calculate the common denominator of 20/91 and (90/n)/((-56)/(-273)).
364
Let b = 116 + -94. Calculate the least common multiple of 66/3 - (7 - 3) and b.
198
Let w(l) = -43*l**3 + 9*l**2 + 6*l - 15. Let q be w(-5). Calculate the common denominator of q/231 - 4/(-14) and 29/5.
15
Suppose 2*p - 4*m = m + 72, 0 = -4*p + m + 144. Let q(h) = -h**2 + 12. Let v be q(0). What is the smallest common multiple of (v/5)/(3/10) and p?
72
Let s(u) = 7*u - 16. Let z be s(2). Let l be (-1 + -2)*(10/z)/(-15). Let q(h) = -10*h - 3. Calculate the least common multiple of q(l) and 9.
63
Let a(d) = -18*d + 54 - 258 + 93. Calculate the smallest common multiple of a(-16) and 3.
177
Let r = -1281639239/2288 - -560157. Calculate the common denominator of -173/5148 and r.
20592
Suppose -3*p = -15 + 9. Suppose 2*i - 42 = -4*y, -p*i = -3*y - 0 + 28. Calculate the least common multiple of y and 34.
170
What is the least common multiple of (11 - 610/50)*-40 and 312?
624
Let p = -459335 + 219102899/477. Let v = -977/1272 - p. Find the common denominator of -49/24 and v.
72
Find the common denominator of (-92)/(-5)*1/(-9) and -15*32/84*32/(-180).
315
Let v(a) = a**2 - 2*a - 57. Let b be v(6). Calculate the common denominator of (b/((-24)/8))/(-160) and -5/16.
160
Let z be (-1 + 8/5)/((-5)/(-25)). Find the common denominator of ((-12)/36)/(z/((-1206)/(-92))) and -21/11.
506
Let i be (-11240)/90*(-70)/(-8). Let u = i - -1095. Calculate the common denominator of ((-285)/27 - -4)*-1 and u.
9
Let u = 20 + -20. Let a = -37 - -39. Suppose f + 1 = a*z, u*z + 2*z + 5*f = 31. What is the least common multiple of 7 and z?
21
Suppose 3*j + 772 = 4*x, -3*j + 0*j - 582 = -3*x. Calculate the common denominator of (10/(-20))/(4*(-8)/x) and 58/(-261) - (-1 + (-295)/396).
352
Let l be ((-240)/(-18))/(3/171). Suppose 5*d = 25*d - l. Calculate the lowest common multiple of d and 12.
228
Let w be ((2/156)/1)/(7161/2172449). Let g = w - 1/2002. Let n = 1216 - 6106/5. Calculate the common denominator of n and g.
45
Find the common denominator of 82/63 and 126/49*(-18)/(-12024).
21042
Let c = -2104 + 2114. Calculate the common denominator of c and -28/701.
701
Suppose -82*i + 50160 = 6*i. Calculate the lowest common multiple of 216 and i.
20520
Let u(s) = s**3 - s**2 - 5. Let p be u(2). What is the common denominator of p/16*323/209 and -87/22?
176
Calculate the common denominator of 31/741 and 777/234 + (-78 - -75).
1482
Suppose 2213 - 16113 = -25*j - 1400. What is the lowest common multiple of 400 and j?
2000
Suppose 0 = 4*m - 8 - 8. Suppose 88 = m*a - 56. Let l = a + -22. What is the least common multiple of 22 and l?
154
Suppose 6*c + 1 + 5 = 0. What is the common denominator of (-2)/88*c*93 and ((-4)/(-20))/(12/55)?
132
Let k be (-8)/100*5/297. Let y = -95265/266 + 146445119/395010. Let a = k - y. Calculate the common denominator of a and 58/5.
5
Let j(c) = c**3 + 5*c**2 - 3*c - 11. Let s be j(-5). What is the lowest common multiple of (-158)/(-14) + 6/(-21) and (-70)/15*s/(8/(-3))?
77
Let v be 70 + ((-20)/5 - -2). Find the common denominator of 2*(-35)/v - -1 and (-12)/30*21/(-4).
170
Suppose -s + u + 2426458 = -0*s, 0 = 5*s + 2*u - 12132262. Let w = s - 19473671/8. Let f = w - -7744. Find the common denominator of f and 33/10.
40
Let o(q) = -26*q - 176. Let h be o(-5). Let v = 49 + h. What is the least common multiple of 33 and v?
33
Let c(j) = j - 7. Let q be c(-20). Let r be (-129)/q + (-16)/(-72). Suppose 0 = n + 4*n + d - 169, 153 = r*n - 3*d. Find the common denominator of 19/8 and n.
8
Suppose u - 5*s - 45 - 11 = 0, 112 = 2*u - 2*s. What is the common denominator of (1 - (-85)/u)/((-55)/(-44)) and 6/7?
70
Let t = -41705/190944 + -2/5967. Let u = -6502 - -51943/8. What is the common denominator of t and u?
32
Suppose -21 = -4*m - 0*r - r, 4*m - 41 = -5*r. Suppose -v = -3*v - m, 0 = -t + 5*v + 154. Calculate the least common multiple of 88 and t.
1584
Let g(f) be the third derivative of f**4/12 - 4*f**3/3 + 6*f**2. Let x be g(16). Suppose 0 = -8*k + 12*k - x. Calculate the lowest common multiple of k and 4.
12
What is the common denominator of -14 + 14/(336/52) and 69/746?
2238
Find the common denominator of (-71)/12*(-174 + 164)*2/30 and 25/1656.
1656
Suppose -4*c + 3*o = -2221, o - 44 + 47 = 0. Calculate the lowest common multiple of 224 and c.
17696
Let o(a) = -a**2 - 2*a + 13. Let u be o(0). Suppose 5*n + 5*i = u + 17, 2*n = -i + 10. Calculate the common denominator of 15/7 and ((-124)/68 + n)*-1.
119
Let t = -6251 - -18721/3. What is the common denominator of 67/5254 and t?
15762
Let n = -2283 - -5560. Let z = n + -13009/4. Let u = 241/4 - z. Calculate the common denominator of -8/5 and u.
10
Let d(g) = 21*g + 53*g + 6*g - 4 - 17*g - 3*g**2 + 16*g. What is the least common multiple of d(25) and 4?
96
Suppose -2*f + 2*g = -356, 5*f + 2*g = 3*f + 376. Suppose 5*k - f = b, -k + 21 = 11*b - 6*b. Calculate the smallest common multiple of 2 and 220/18 - k/162.
12
Let t = 17688598343/14537610 + -2864094/2341. Let l = 1/621 + t. Find the common denominator of l and 97/540.
540
Suppose a + 20 = 3*w - 2, 22 = 4*w - 5*a. Suppose -2*r - w*r = -1120. What is the lowest common multiple of r and 16?
112
Let i = 594/3073 + -1710250/9928863. Calculate the common denominator of i and 56/3949.
35541
Let a(z) = z**3 + 8*z**2 + z - 1. Let k be a(-8). Let r be (1/k)/((-16)/12404). Let s = r - 548/9. Find the common denominator of s and 39/28.
28
Let g(b) = b**3 + 5*b**2 - 3*b + 5. Suppose 5*f - 4*f - 5*o = -75, 5*f + 295 = 5*o. What is the least common multiple of g(-5) and 5/(-2)*484/f?
220
Suppose -371*r + 103744 = 3970 + 13702. What is the lowest common multiple of 12 and r?
696
Let d(o) = 2*o**2 + 2*o - 2. Let s be d(2). Let b(u) = -u**3 + 10*u**2 - 2*u - 1. Let w be b(s). What is the common denominator of w*(-4)/96 + -1 and 11/6?
24
Suppose 4*x + 15637 