 Let b be j(3). What is the smallest common multiple of 15 - (7/b - 6/9) and 46?
414
Suppose -4*z + 35 = 4*i - 5*z, 55 = 5*i - 5*z. Suppose 34 = -5*m - 36. Let q = m - -27. Calculate the smallest common multiple of q and i.
104
Suppose 2*c - 7*c = -15. Suppose -u = 40*u - 1107. What is the lowest common multiple of u and c?
27
Let p(x) = -x + 122. Calculate the smallest common multiple of 27 and p(38).
756
What is the common denominator of -31/24 and ((-4266)/2765)/(16/30)?
168
Let g = -278/51 - -5335/408. Suppose -3*z - 5*t = -87, -1 = t - 4. Find the common denominator of (-3)/12 - (-266)/z and g.
24
Let i = 661/7280 + -37/182. Calculate the common denominator of 149/24 and i.
240
Let s = 622 - 612. Let c = -45 + 69. Calculate the least common multiple of c and s.
120
Let c be -7*1*(-1)/1. Let o(b) = 12*b**2 + 6*b - 8. What is the least common multiple of 6/(-7)*-1*c and o(1)?
30
What is the smallest common multiple of (-64)/(-6)*129/172 and 95?
760
Let b(c) = 142*c - 1390. Calculate the lowest common multiple of 2/5 + (-178)/(-5) and b(10).
180
Suppose 16 + 6 = 5*u - a, -3*u + 5*a = -22. Suppose c + u*c = 10. Suppose -11 = -3*o + 4*q, -q + 48 = 4*o + c*q. What is the lowest common multiple of o and 11?
99
Let u(g) = 5*g + 31. What is the lowest common multiple of (-45)/(-4) - 1/4 and u(7)?
66
Suppose 2*r + 3*x = 14, 0 = -2*r - 17*x + 19*x + 24. Calculate the least common multiple of 20 and r.
20
Suppose 5*h - 18 = 2*z, -21 = h - 5*h - 5*z. Let g = -11 + 15. Calculate the lowest common multiple of h and g.
4
Suppose 5*f = -4*m + 27, 4*f - 46 = m - 16. Let c(q) = q**2 + 38*q + 11. Calculate the smallest common multiple of c(-38) and f.
77
Let t = 52/18757 - -119935831/5477044. Let v = t + -84/73. Calculate the common denominator of (-51)/(-4)*(-6)/15 and v.
20
Suppose 4*p = -3*r - 0*r + 46, -p - 6 = -r. Suppose 4 + 86 = r*q. Calculate the lowest common multiple of -1 - (1 + -2) - -3 and q.
9
Suppose -5*o - 4*z = -98, -19 = -4*o - 3*z + 60. Let l = 113 - 11. Calculate the least common multiple of o and l.
1122
Let i = -127/25 + 616/75. Let h = 76492/297 - 2820/11. What is the common denominator of h and i?
135
Suppose 10*l - 2912 = -2792. Calculate the smallest common multiple of 224 and l.
672
Let y(k) = k**3 + 3*k**2 + 1. Let i = 25 - 17. Calculate the smallest common multiple of y(-3) and i.
8
Let a = 13352/1145 + -14/229. Let q be 1906/(-441) + (-24)/84. Let c = q + 8/49. Calculate the common denominator of a and c.
45
Let s = -6 - -80. Calculate the lowest common multiple of (1 - 6)/(1 - 14/4) and s.
74
Let b be (4/(-6))/((-2)/(-6)). Let r = b + 18. Suppose -3*a + r = -8. What is the smallest common multiple of 30 and a?
120
Let f = 4447 - 40076/9. Calculate the common denominator of f and -31/35.
315
Suppose -4*i - 138 = -506. What is the least common multiple of i and 2?
92
Let b = 7 - 1. Let f(r) = -r + 12. Let i(n) = n**3 - 2*n**2 - n + 2. Let z be i(1). Calculate the smallest common multiple of f(z) and b.
12
Calculate the common denominator of (-1)/14*-109 + 0 and (973/(-63) + 8)/(28/(-21)).
84
Suppose -3*g + 32 = 4*y, 2*g + 2*g = -2*y + 46. What is the smallest common multiple of 9 - ((2 - 5)/3 + 2) and g?
24
Let b = 1/5741 - -407595/91856. Let q = 12839/18 + -713. Calculate the common denominator of b and q.
144
Let y be (24/21)/(3/7). Let j = -82/33 + y. What is the common denominator of j and -12/7?
77
Let j be 2/6 + (-44)/(-3). Let r = 4747/77 + -708/11. Calculate the common denominator of j/(-18)*(-258)/20 and r.
28
Suppose -3*s - t - 7 = 0, -2*s + 2 = 3*t - 4*t. Let h = -316/7 - -2943/70. Find the common denominator of (-153)/21*(-2 - s) and h.
70
Let c = -344 + 369. Calculate the smallest common multiple of 15 and c.
75
Let l = 81 - 67. Let x(m) = 7*m + 0*m**2 - 5 + 3 - m**2 - 4. Calculate the lowest common multiple of x(5) and l.
28
Let q be 7*(-6)/(-189) - 4813/(-9). Find the common denominator of 28/5 and -1 - -1 - (q/70)/(-1).
70
Find the common denominator of 6/(-117) + (-9780)/(-585) and 50/273.
273
Let g = -4688/403 - -155/13. Let v = -1414652035/279 - -5070444. Let c = v + g. Find the common denominator of 37/7 and c.
63
Let i = -178366 + 94177121/528. Find the common denominator of i and -1/10.
2640
Let m = -322/29 + 9727/957. Calculate the common denominator of -149/822 and m.
9042
Suppose 9 = 2*k - 9. Let l(m) = m**3 + 8*m**2 - 14*m + 3. Let n be l(-10). What is the common denominator of (n/k)/(4/(-6)) and 42?
2
Let s(x) = -x**2 - 7*x - 5. Suppose -q - f + 6 = q, 2*f = 5*q - 6. Let r be (-3)/q - 45/18. Calculate the least common multiple of s(r) and 4.
28
Suppose -5*r - 2*w - 5 = 1, -5*r + w = -3. Suppose -4*x - k + 12 = -r*k, 0 = -x + 5*k - 18. Find the common denominator of 31/6 and (2 + 45)/((-12)/x).
6
Let w = -42 - -48. Let j(c) = 57*c - 24. What is the smallest common multiple of j(w) and 8?
1272
Suppose 3*a = -2*n, -4*n - 2*a + 32 = -4*a. What is the common denominator of ((-3)/n*(-130)/(-1))/3 and 145/24?
24
Let z = 22279/57400 - 87/287. What is the common denominator of z and -123/40?
200
Calculate the smallest common multiple of -163*(-4 + 3) + -4 + 1 and 120.
480
Suppose b = -b + 5*u + 107, 275 = 5*b - 5*u. Calculate the lowest common multiple of b and 32.
224
Suppose -6 = -3*s - 0*s. Let p(o) be the third derivative of -o**4/12 - 3*o**3/2 + 4*o**2. Calculate the least common multiple of s and p(-7).
10
Let c(i) = -i + 31. What is the least common multiple of 44 and c(13)?
396
What is the common denominator of 47/227 and ((-348)/58)/(21/(-2))?
1589
Let u = -1117/7 - -33223/210. What is the common denominator of u and 65/42?
210
Suppose -7*t - 102 = -4*t. Let s = 58 + t. What is the common denominator of (s/(-32))/(66/320) and -10?
11
Calculate the common denominator of 4/(-6)*508*8/(-1920) and 41/135.
270
Let s(q) = -39*q - 323. What is the least common multiple of s(-9) and 572?
4004
Let f = -20521205323/452152008 - -304/570899. Let n = f - -363/8. Let q = n + 1225/396. What is the common denominator of q and 83/14?
84
Suppose -3*a - 4*c + 198 = -7*c, 5*a + 3*c - 330 = 0. Calculate the least common multiple of 11 and a.
66
Suppose 10 = a - 2*a. Let p be 135509/(-180620) - (-4)/a. Let m = p + 1/4105. Calculate the common denominator of 13/22 and m.
220
Calculate the common denominator of (10/96)/(6/24) and 99/610.
3660
Suppose -4*u + u + 8 = n, -n + 3*u + 8 = 0. Suppose 4*j - 4*a - n = 52, 0 = 3*j + 5*a - 5. Calculate the smallest common multiple of j and 6.
30
Let u = -269104/5892279 - 790842966405/474489515126. Let g = u + 3/10981. What is the common denominator of -73/9 and g?
198
Let o be -6 - -1 - 517286/(-144398). Let z = o - 4/2329. What is the common denominator of z and -9/10?
310
Let w(v) = -8*v + 0*v**2 + 9*v + 4*v**3 - 2*v**2 - 1. Let x be w(2). Let p = -18 + x. What is the least common multiple of 3 and p?
21
Suppose 0 = -3*b - 2*k + 31 - 3, 0 = -3*b - k + 32. Calculate the lowest common multiple of 8*((-22)/(-8) - -2) and b.
228
Let m(s) = -2*s - 3. Let l be m(-4). Suppose d + 5*j = 3*d + 810, -l*j = -5*d - 1995. Calculate the common denominator of 19/20 and d/100 + (-3)/2.
20
Let g = -1577 - -3591. Let a = 12181/6 - g. Find the common denominator of 0/(-3) - 49/9 and a.
18
Let w(m) = -5*m**3 - m**2 - m - 1. Let r be w(-1). Suppose 8*k - 28 = r*k. What is the common denominator of 57/16 and (k/(-441))/(2/327)?
336
Let p = 1881/58 + -896/29. What is the common denominator of p and 137/12?
348
Let y = 20/11 - -28549/22. Let a = -1253 + y. Calculate the common denominator of a and -25/158.
158
Let j = 143 - 127. What is the smallest common multiple of j and 68?
272
Let s be 8/24 - 1*(-1530)/2. Let u = 772 - s. Calculate the common denominator of -91/2 and u.
6
Let i be 4396/10 + 4/10. Let j = i - 849/2. Let o = 992 - 5935/6. Find the common denominator of j and o.
6
Let r = 206813/52 + -3977. Find the common denominator of -34/3 and r.
156
Let t = -54/1333 + -515/5332. Calculate the common denominator of 57/155 and t.
620
Let a(i) = -i**2 + 11*i - 10. Let v(q) = q**3 + 6*q**2 + 10*q + 30. What is the lowest common multiple of a(8) and v(-4)?
154
Let s = 1649085/56 - 29449. What is the common denominator of 1/105 and s?
840
Let y(v) = v**2 + 3*v + 22. Let l be y(0). Suppose -3*g + l + 26 