Suppose 89*f - 2142 = y*f. What is the smallest common multiple of f and 77?
693
Find the common denominator of 79/384 and (127/8)/(30*19/760).
384
Let t(w) = 153*w + 10416. Let i be (2/(-3))/((-6)/(-9)). Calculate the smallest common multiple of t(-68) and -2*(-28)/((-2)/i).
84
Let u(b) = -b. Let s be u(3). Let d = 1414 + -2761/2. Find the common denominator of d and ((-118)/6)/((-2)/s).
2
Let f = 663 - 630. What is the common denominator of (16 - f - -16)/(0 + 44) and -85/44?
44
Suppose -4*w - 3*t - 7 = 0, -5*w - 1 = -w + 5*t. Let s be (63314/w)/(198/(-36)). Let n = s + -2873. What is the common denominator of -26 and n?
11
Calculate the common denominator of (-795)/(-211735)*37/(-6) and -89/10.
7990
What is the common denominator of -89/15 and ((-2)/(18/(-13)))/((-855)/(-114))?
135
Suppose 0 = -13*o + 6*o - 1190. Let j = 541 - o. Let t = j - 6424/9. What is the common denominator of t and 111/10?
90
Let m be ((-177)/36 + 5)*58796/24. Let n = 1/51200 - -10694399/51200. Let d = m - n. What is the common denominator of -35/32 and d?
288
Suppose -353*s = -236*s - 131040. Calculate the least common multiple of 1120 and s.
1120
What is the common denominator of -29/8718 and (-1)/(-2)*(-25 + 37 + 85)?
8718
Let f be 10/(-8)*(-250)/(-372). Let n = 4180 + -518295/124. Let c = n - f. Find the common denominator of -65/3 and c.
24
Let y = 66 - 6. Let x = y + -27. Let t(l) = -6*l. Calculate the least common multiple of x and t(-5).
330
Let o = -2135/3 + 16355/23. Let n = 253 + -6818/27. Calculate the common denominator of n and o.
621
Let h be ((-4)/(-6))/((-14)/84) - -4154. Calculate the common denominator of 1 - 1 - h/(-4500) and 47/99.
990
Let d = 470009/135072762 + 2/282579. What is the common denominator of -3/4780 and d?
14340
Let m = 76073/20034 - 361/106. Let l = -1051/378 + m. Let h = -1375/6 - -757/3. What is the common denominator of h and l?
18
Suppose 4*y + 2*j - 163 + 147 = 0, 2*y = 3*j + 24. Calculate the smallest common multiple of y and 144.
144
Let g = -261337/40 - -6533. Calculate the common denominator of 3991/1535 - (((-9)/(-24) - -2) + -2) and g.
40
Let m be ((-3)/9 + 2)*(-27 + 33). Suppose -h + 84 = r, -m = r - 13. What is the smallest common multiple of h and 18?
162
Let z = -3107/2 - -43529/28. Let g be 27078086/(-1320) - (-8)/60. Let n = -20512 - g. Find the common denominator of n and z.
308
Let r(g) = -2322*g - 8046. What is the lowest common multiple of r(-4) and 1932?
17388
Let f = 468/7 + -4205/63. Let b be (4/(-5))/((-4)/130). What is the common denominator of f and (-3 - -2) + b/(-36)?
18
Let w(x) = x**2 + 13*x + 5. Let q be w(-13). Suppose -t - q*p - 103 = 0, 635 = -2*t - 3*t + 5*p. Find the common denominator of 39/16 and t*(-1)/390 - 1/5.
208
Suppose -5*c + 10 = -10. Suppose 124 = c*o + 4*x, 3*o + 13 = -4*x + 107. Suppose -156 = -6*z - 36. Calculate the lowest common multiple of o and z.
60
Let j be 1916/478 + (-4 - 0). Let t = j - 7/239. Let x = 14119/21988 - t. Find the common denominator of x and -53/18.
828
Let x be (6/(-7))/(526/1841). Suppose d + d = -192. Find the common denominator of -65/36 and (4004/d)/(-13) + 0 + x.
72
Let u = 1154590974619134 - 138774301443110518185701/120193475. Let m = u - -3/87925. Let z = -77695/21872 + m. Calculate the common denominator of 47/30 and z.
240
Let a = 248 - 98. Let g(l) = -l**2 - 24*l - 64. What is the smallest common multiple of a and g(-20)?
1200
Let c = -79/57 + 42917/285. Let j = c + -6889/45. Calculate the common denominator of 32/27 and j.
27
Find the common denominator of 3 + (67/4 - 1) and (3465/2100)/((-39)/22).
260
Let w = 18731/6 + -3133. Suppose 0 = 2*l - 2316 - 838. Let v = 12663/8 - l. Calculate the common denominator of w and v.
24
Let z = -28168 - -675995/24. Calculate the common denominator of z and -43/3720.
3720
Let j(c) = -12*c - 43. Let h be (-27)/45 + (-17)/5. What is the lowest common multiple of 6*(-3)/(-2) - 1 and j(h)?
40
Let x = 416165/178 - 2338. Let m be (3/(5340/20288))/((-2)/(-5)). Let l = x + m. Find the common denominator of 79/14 and l.
14
Let i(c) = 2*c**3 + 48*c**2 - 15*c - 54. What is the smallest common multiple of i(-24) and 24?
1224
What is the common denominator of -7/640 and 20/5 + 12749/(-3040)?
640
Let m = 1/7754 + 21323/3877. Let z = 142/5 + -1081/40. Calculate the common denominator of m and z.
8
Suppose -12*g + 1554 = -5*g. Calculate the smallest common multiple of 36 and g/8 - 25/(-100).
252
Suppose 4*a + 3*r = 144 + 111, 4*a - 235 = r. Calculate the lowest common multiple of a and 84.
420
Suppose -4*u + 67 = u - 4*v, -2*u = -2*v - 26. Let f = 192797/20 - 9643. Find the common denominator of (-62)/40 + 3/u and f.
20
Let i = 285/23 + -1163/92. Find the common denominator of -97/232 and i.
232
Suppose -250 + 220 = 5*f. What is the common denominator of -71/16 and 357/(-272)*((-26)/f - 1)?
16
Let a = 49 - 47. Suppose 0 = -v - 3 - a, -5*g - 5*v = -30. Suppose -g*r = 1 - 12. What is the smallest common multiple of r and 4?
4
Calculate the common denominator of ((-990)/32571)/((-516)/21) and 31/14.
28294
Suppose 12*f - 7*f = 0. Suppose f = -i - i - 3*o - 261, -5*o + 285 = -2*i. Calculate the common denominator of -45/11 and (-1274)/60 - (5 + i/25).
66
Let p = 14333 - 13453. What is the smallest common multiple of p and 528?
2640
Suppose -2 = -5*s - 4*o, -3*s - 4*o + 0 = 2. Suppose 13 = j + 4*y, s*y + 4 - 24 = 4*j. What is the common denominator of -34/11 and 1 + (-885)/(-36) + 1/j?
44
Let x(t) = -2*t**3 - 13*t**2 + 11*t + 20. Let d(v) = 6*v - 67. Let s be d(10). Let w be x(s). Calculate the smallest common multiple of 33 and w/6*6*-3.
264
Let x be 2/(-10) - 2/(560/(-156)). Let b = 17/21 + x. What is the common denominator of b and ((-93)/(-6) - -2)/1?
6
Suppose 0 = 17*l - 91 + 465. Suppose 0*s + 11 = s. Calculate the smallest common multiple of (-4)/l + 194/22 and s.
99
Let j = 1050152/75823 - 845/61. Calculate the common denominator of 41/2 and j.
2486
Let d(p) = p**2 + 2*p - 28. Let m be d(-8). Suppose -g + 46 = -m. Calculate the smallest common multiple of 42 and g.
462
Suppose 2*z - w + 1529 = 6*z, 0 = 5*z + 4*w - 1925. What is the lowest common multiple of z and 27?
3429
Let m(i) = -10*i - 56. Suppose 2*q - d = -0*q + 18, 8 = -2*d. Calculate the least common multiple of m(-7) and q.
14
Calculate the common denominator of 35/(-10)*2 - (517/(-160) + -4) and 119/580.
4640
Let y = -13014 - -13070. Calculate the lowest common multiple of y and 1960.
1960
Suppose -t + 3*t = 3*p - 62, -4*t = -5*p + 126. Let o = -48 - t. Calculate the least common multiple of 14 and (o/6 + 0)*(0 + -24).
56
Let z = -7014883/17 - -412262. Suppose k + t = -2*k + 1131, 384 = k - 2*t. Let h = z + k. Find the common denominator of -59/8 and h.
136
Let x = -1602131741 - -22356750677/14. Let k = x - -5209579. Let c = k - -11407. Calculate the common denominator of -21/4 and c.
28
Suppose 2 = -j, w + 2*j + 4 = 6*w. Suppose w = -74*i + 60*i + 84. Calculate the lowest common multiple of 1360 and i.
4080
Find the common denominator of -3/56 and 45/12*22/(-7777).
5656
Suppose 4*p - 65 = -57. Suppose -p*x - 3*y + 34 = 15, 3*x = y + 23. What is the least common multiple of x and 13?
104
Let v = 299520355325/2442496 - 3281/1046784. Let f = v - 122627. Find the common denominator of f and 7/60.
420
Let m be (4809/63)/(24/(-27) - -1). Let o = m + -681. Calculate the smallest common multiple of 36 and o.
36
What is the least common multiple of -4 + (-13 - (-10 - 842)) and 6?
5010
Suppose -2 = -4*b + 2. Let g = -3178 - -3181. Calculate the smallest common multiple of 5 and b/(0 + -2 + g).
5
What is the lowest common multiple of (13 + -14)*38/(-4)*28 and 16?
2128
Suppose -5*x + 2177 = 2*c, -10*c + 5 = -5*c. Let d = x - 428. What is the lowest common multiple of d and 36?
252
Let k = 53034 - 13576637/256. What is the common denominator of k and 83/256?
256
Find the common denominator of (-14335)/(-732)*6/(-20) and (-123)/12*(-2 - -1).
8
Let o = 29 - 32. What is the common denominator of -19/187 and 1/(o/(-9)) + 7137/(-2431)?
187
Let t = -4730 - -4740. Calculate the smallest common multiple of t and 802.
4010
Suppose -73*z + 76*z + 2*k - 404 = 0, 4*z - 5*k - 600 = 0. Let s(d) = -12*d + 5. What is the smallest common multiple of z and s(-6)?
1540
Let g(q) = 2*q**3 - 2