least common multiple of x and f(-6).
232
Suppose 3*f = 2*g + 2252, -1679*f + 5*g + 716 = -1678*f. Calculate the lowest common multiple of 140 and f.
3780
Suppose -3*c - 1 = 5*o, -3*c + o + 20 = -9. What is the lowest common multiple of c and ((-576)/(-60) + 2/5)*10?
200
Let v be 4/14 + (-113245)/(-120120). Let r = -128/39 + v. Find the common denominator of -19/64 and r.
448
Suppose 5*r - 15*d + 10*d + 15 = 0, 0 = 3*r + 4*d - 26. Calculate the smallest common multiple of 4 and (765/(-30))/((-3)/r).
68
Find the common denominator of 4/11 and -5*(-6)/(-60) - (-652)/1486.
16346
Let j(v) = -118*v - 1548. Calculate the lowest common multiple of 2457 and j(-27).
4914
Let v = 51 - -33. Let b = -120 + v. Let i = -20 - b. What is the smallest common multiple of i and 22?
176
Suppose -35*n = -42*n - 2898. Let g = 453 + n. Calculate the smallest common multiple of g and 21.
273
Suppose 4*g - 3*b - 21 = -6, 5 = g - b. Let w = g - -1. What is the lowest common multiple of w and 3/7 + (507/91 - -3)?
9
Let b = 322 - 304. Suppose 3*l - b = -3*g, -l + 2*l - 4*g = 21. Calculate the least common multiple of l and 7 - (-2 - -1 - 1).
9
What is the common denominator of (-31)/(42625/6150) + (-3)/10 and -109/4962?
54582
Let w = 7882655/1224 + -6440. Calculate the common denominator of w and 145/48.
2448
Suppose 3*g - 12567 = d, 3*d - 3360 = -2*g + 5018. Calculate the common denominator of g/213 + (-6)/2 and -17/30.
30
Let z = 58 + -67. Let a be (24/z)/(3 + 183/(-63)). Let b = a - -46. Calculate the smallest common multiple of 33 and b.
198
Suppose -2*b - 3*f = -5132, 5116 = 2*b + 28*f - 29*f. Calculate the lowest common multiple of 448 and b.
17920
Let g = -6714 - -6814. Calculate the lowest common multiple of 8 and g.
200
Let m = -12943463/2895 + 44709/10. Calculate the common denominator of m and 12/2123.
12738
Let p be (-8)/(-28) - (-148)/(-28). Let g be (-4 - -8) + 2 + p. What is the smallest common multiple of (5 - 4)/(g + 0) and 10?
10
Suppose -7*p + 144 = -3*p. Let q(f) = -f**3 + 56*f**2 + 636*f - 32771. Calculate the lowest common multiple of p and q(57).
2088
Let t = -3150 - -3987. What is the lowest common multiple of 54 and t?
1674
Suppose 5*a - 3*r = 13, 4*a - 5 = 5*r + 8. Suppose -2*w - a*o = 2, 4 + 2 = 2*o. Find the common denominator of (((-44)/(-42))/11)/(w/158) and 23/9.
63
Let l = 1447 - 857. Calculate the smallest common multiple of 24 and l.
7080
Let r = 852 - 3584. Let k = -6336/89 + -716933/267. Let h = k - r. Calculate the common denominator of h and -46/33.
33
Calculate the common denominator of (-2 + 100/6)*17/(714/(-18)) and 5/56.
56
Let b = -8 + 8. Suppose b = -5*j + 2*h + 76, 4*j - j - 5*h = 57. What is the lowest common multiple of (-18)/(-4)*1*132/297 and j?
14
Calculate the common denominator of 7/(3 + ((-140)/8)/5) and 49/8733.
8733
Suppose 3*c - 24 = 11*c. Calculate the least common multiple of 18 and 4/c + (-14560)/(-156).
828
Let i = -14951341/168 + 88997. What is the common denominator of 4/3423 and i?
27384
What is the lowest common multiple of 636 and 9/(-18) + (-948)/(-24)?
8268
Suppose 0 = f + 5*y - 187, 5*f + 295 = -5*y + 1210. Suppose 184*z - f*z = 24. What is the smallest common multiple of z and 30?
60
Let v(f) = -93 - 4 - 7 - 8*f. Calculate the lowest common multiple of v(-25) and 48.
96
Suppose 4*s = -1 - 3. Let o(t) = 14*t**2 - t - 1. Let l(b) = 39*b - 1612. What is the least common multiple of o(s) and l(42)?
182
Let i(n) = -27*n + 1062. What is the least common multiple of 198 and i(38)?
396
Let d = -1944 - -9776/5. Let b be -6 + 1 + 55874/1078. Let c = b + -303/7. Calculate the common denominator of c and d.
55
Let s = -92/75677 + 819297142/14757015. Let w be (-61)/(-183) + 4190/(-78). Let n = w + s. Calculate the common denominator of -45/8 and n.
120
Suppose -3*c - 2*q = -12, 4*q = 4*c + 2*q - 2. What is the common denominator of (-13)/33 - 4/(-6) and (-5535)/(-840) + c/7?
88
Calculate the smallest common multiple of 350 and (-31)/(-1) - 17/51*-12.
350
Let n be (-39)/26 - (-10)/(-4). Let t be 48066/28 - n*15/20. Let z = t + -1717. Calculate the common denominator of 17/4 and z.
28
Suppose -15*l = -4879 - 4001. Let u = l + -566. What is the smallest common multiple of u and 16?
208
Suppose 0 = 26*t - 22*t + 96. Let b be (t/20)/(-2 - 122/(-60)). Calculate the least common multiple of (3 - 1)/((-9)/b) and 8.
8
Suppose 5*v + 4*v = 81. Calculate the lowest common multiple of ((-297)/(-22))/v*28/6 and 3.
21
What is the least common multiple of ((1/2)/((-8)/1104))/((-51)/1105) and 4?
5980
Suppose m - 80 = -2*f, 4*f + f + 25 = 0. Let w = 1941143/527230 + 1/23965. Calculate the common denominator of (-191)/m - (-4)/18 and w.
110
Suppose 2*o + 4*n + 849 - 873 = 0, -3 = 3*n. Calculate the smallest common multiple of 201 and o.
2814
Let t = -85613 - -6677683/78. What is the common denominator of 43/639 and t?
16614
Let c(q) = -q**2 + 102*q - 1923. Suppose -3*t = a - 68, a - 79 + 31 = t. Calculate the smallest common multiple of a and c(77).
106
Let v = -10376489/108 + 96080. Find the common denominator of 0 - -11*(-2)/16 and v.
216
Let t = -56/101 + -7939/4444. What is the common denominator of -149*(-2 + (-45)/(-24))/((-1800)/400) and t?
396
Suppose 0 = 2*n + 5*y + 385, -8*n - 4*y - 937 = -3*n. Let k = 195 + n. What is the smallest common multiple of 6/24 - 366/(-8) and k?
230
Let h = 650 - 733. Let f = h - -95. Let o = 120 + -60. Calculate the least common multiple of o and f.
60
Suppose -97*a + 16*a + 486 = 0. Calculate the smallest common multiple of a and 216.
216
What is the common denominator of -49/1590 and (2/12)/((-160)/40 + 98/25)?
3180
Let d be (-1 + (-2)/(-4))*946397/22. Let z = 21507 + d. Calculate the common denominator of 127/24 and z.
264
Let a(x) = x**3 + 3*x**2 - 2*x - 4. Let j be a(-3). Suppose j*z - z = 61. Let m = 65 - z. What is the smallest common multiple of 4 and m?
4
Suppose 0 = -2*p + 514 + 74. Find the common denominator of -71/105 and (-3 + -1)*1127/p.
105
Suppose 4*d - 11*d = -d - 114. What is the lowest common multiple of 28 and d?
532
Suppose s = -5*a + 5, 32*s + 2*a = 27*s + 94. What is the common denominator of 113/30 and ((-8)/s)/((-7)/((-1365)/324))?
270
Let j(v) = v**2 + 10*v + 20. Let h be j(-2). What is the lowest common multiple of 15 and (-49 - -54) + 3*h/(-6)?
15
Let t = 2/2895 - 11919/25090. What is the common denominator of t and (-6)/(-81) + 2149/(-378)?
234
Suppose -5*p - 35 = -5*w - 15, 4*w = -4*p. Calculate the common denominator of 5 - (-378)/(-99) - (0 + w) and 16/313.
3443
Let f = 11908353/208 - 57252. Calculate the common denominator of -73/232 and f.
6032
What is the common denominator of -11/210 and (-54)/2268*972/(-40)?
420
Let z be 7 - 91/7 - -450. Let x = z + -3124/7. What is the common denominator of 83/63 and x?
63
Let u(l) = -562*l + 3942. Suppose -5*n = -9 - 11. Suppose -w - 2*j + 13 = 0, 0*j = 4*w - n*j - 4. Calculate the smallest common multiple of u(7) and w.
40
Suppose -111*q + 16077 - 6957 = -10860. Calculate the least common multiple of 24 and q.
360
Let f = 19755454243/78 + -1013026725/4. Let y = f - 18373. Calculate the common denominator of y and -79/16.
624
Let i(f) = f**3 - 9*f**2 + 4*f + 18. Let j be i(8). Let p = -174569/34 + 5135. What is the common denominator of p and 4/(-6)*49/j?
102
Let q = -124 + 244. Let b = -6138 + 6192. What is the lowest common multiple of b and q?
1080
Let u = 1942 - 3977/2. Let h = 189331 + -99209497/524. Find the common denominator of u and h.
524
Let s = 18686 - 373599/20. Calculate the common denominator of 71/1114 and s.
11140
Let o(u) = 8*u**2 + 30*u - 38. Calculate the smallest common multiple of 125 and o(-11).
3000
Let h = -23 + 27. Suppose -4*p - b - 10 = 0, h*p - 4*b = -30 + 10. Find the common denominator of -39/23 and 579/(-126) + 1 - p/18.
161
Let q = -78200/3 - -29246959/1122. Calculate the common denominator of q and 31/374.
374
Let d = -15115 - -1269659/84. Find the common denominator of d and -109/140.
420
Calculate the common denominator of 73/8 and ((-36771)/(-4635))/(2984/(-6) - 4/6).
29880
Suppose -5*b - 7127 = 10353. Let q = 62975/18 + b. What is the common denominator of q and (-5 - 52/(-8))*150/9?
18
What is the smallest common multiple of 60 and (30/(-6))/(-5) + 492*(18 - 11)?
41340
Suppose 0 =