Suppose 5*h - b = 4*a, 3 = -h - 5*a + 4*a. Suppose -4*s + 32 = -h. Calculate the lowest common multiple of s and 7.
56
Suppose -545 = -36*j + 31. What is the least common multiple of 516/j + -12 - 2/8 and 284?
1420
Let p = -63 + 87. Let j be (-112)/p*3/(-3)*3. Suppose 0 = j*a - 30 - 26. Calculate the least common multiple of a and 10.
20
Let j be (119/28)/17 - 47/(-4). What is the common denominator of 55/6 and (-8)/j*23/13?
78
Let g(s) = -201*s + 192. Let j be g(6). Let q = j - -1961/2. Calculate the common denominator of -3/14 and q.
14
Let n(y) = 2*y + 6. Let a be n(4). Let w = a - -35. Suppose -5*f + w = -4*b, -8 + 12 = f + 5*b. What is the lowest common multiple of 51 and f?
153
Suppose 3*o = 4*b - 2874, -696 = -b - 71*o + 68*o. Calculate the least common multiple of 24 and b.
2856
Suppose -z - 5 = 0, 3*z = -5*x + 9*x - 63. Suppose 0*q - q + 56 = 0. What is the smallest common multiple of x and q?
168
Let v = 182645/12 + -15231. Find the common denominator of (2 - (-10 + 10/(-300))) + (-8)/(-10) and v.
12
Suppose -218729 = -255*n + 5671. What is the lowest common multiple of 7370 and n?
58960
Suppose 0 = -3*w + 5*i + 102, 0 = -i + 27 - 33. Let b(o) = o**2 - 2*o - 2. Calculate the least common multiple of w and b(4).
24
Suppose 3*u - 6*u = 63. Let m be u/7*(259 + (1 - 3)). Find the common denominator of m/390 - 8/(-20) and -61/12.
156
Let f be 8/(280/21) - (-6)/(-10). Let x(y) = y**2 + 2*y + 26. Calculate the smallest common multiple of x(f) and (24/2)/((-8)/(-12)).
234
Let x = -12408 - -12412. What is the least common multiple of 0/5 - -117 - 3 and x?
228
Calculate the common denominator of 25/36 and (1253/245)/(72/7).
360
Let p = -2 - 0. Let o = -846 + 848. Find the common denominator of 14/9 and 47/(-30) + o/(-6)*p.
90
Let c(q) = 9103538*q + 1. Let z be c(-1). Let u = z - -264075108/29. Let v = -2503 + u. Find the common denominator of -40/7 and v.
203
Let p = -4237/4 - -25369/24. Let w = 1135/2 + -552. Calculate the common denominator of p and w.
24
Suppose -q + 2*y = -0*q - 36, 0 = -5*q + 5*y + 200. Let j = 420 - -71. Let x = j + -463. What is the smallest common multiple of x and q?
308
Let m = -1237/14 - -189/2. Let t = m + 47/14. Let f = 136355/16 + -8519. Calculate the common denominator of t and f.
16
What is the common denominator of -53/56 and (39/3822)/((-12)/182)?
168
Suppose 0 = -2*i - 2*x + 10, -2*i + x = -0*i - 16. Let z be (-2)/(-6) + -1 + 7552/177. Let y = z - 41. Calculate the least common multiple of i and y.
7
Let x(c) = 4*c + 79. Let i be x(-20). Find the common denominator of i*(-205)/110*-2 and 55/(-66)*(-10)/2.
66
Let c(h) = 2731*h**3 + h**2 + h + 6. Let o be c(3). Let u = o - 5310467/72. What is the common denominator of -58/63 and u?
504
Let k = 34907651/6936 - 30197/6. Find the common denominator of k and 13/544.
9248
Find the common denominator of (-21)/84 - 418/56 and 20/62 + -2 - -1.
217
Let w = 42 + -39. Suppose -w*y + 20 = -5*y. Find the common denominator of (66/y)/((-48)/135*3) and -131/12.
48
Suppose -4*z = -7*z + 4*h + 63, 0 = 2*z + 3*h - 42. Suppose i = 10*v - 12*v + z, -5*i + 4*v + 133 = 0. Calculate the lowest common multiple of i and 25.
25
Let t = 451796 + -307221169/680. Calculate the common denominator of -37/5 and t.
680
Suppose -136 = -6*y - h, -4*y + h + 98 - 14 = 0. What is the least common multiple of y and 964?
10604
What is the common denominator of 51/4 and (-1564)/(-282) + (-1)/(-3) - (-75 + 81)?
564
Suppose 0 = -4*h + h - 36. Calculate the common denominator of 110/(-880) - (-187)/40 and ((-9)/60)/(h/790).
40
Let w(g) = g**3 + 2*g**2 - 4*g + 2. Suppose 3*h = -33, r = -2*h + 111 - 122. What is the smallest common multiple of r and w(3)?
385
Let h(c) = -c - c - 10 - 3*c + 4*c. Let k(u) = 2*u + 10. Let g(p) = -4*h(p) - 5*k(p). What is the least common multiple of 12 and g(-4)?
84
Suppose 12*x - 176 = x. Let k = 442 - 438. Calculate the least common multiple of x and k.
16
Suppose 0 = 5*l - 10*l + 9765. Let z = l - 1139. Calculate the common denominator of -111/22 and (-12)/(-90) + z/120.
132
Suppose 13*v = 8*v + 400. Calculate the lowest common multiple of v and ((-240)/(-300))/((-1)/(-40)).
160
Suppose 3*d + 24156 = -4*y, -2*y - 7083 - 4995 = -4*d. Calculate the common denominator of 462/(-72) + -1 + 6 and y/(-1134) - (-2)/7.
36
Let s = 18222223978722554087/4566334075526893920 + -4/4639225587965. Let a = 10/10253 - s. Let h = a - -7/96. Find the common denominator of h and -89/62.
372
Suppose -27803 = -51*x - 0*x + 120301. What is the smallest common multiple of x and 3267?
26136
What is the common denominator of -16/261 and (-2)/(-3) + 2592/7047?
261
Let l = 454177/1296 + -5607/16. Calculate the common denominator of l and 137/6.
648
Let g(o) = 727*o - 10175. Suppose -i = 2*i - 6. Suppose -162 = -i*u - 2*n, 4*n + 365 = 5*u + n. What is the least common multiple of u and g(14)?
228
Find the common denominator of 3 - (-65)/2*1/(-5) and (182/192)/((-80)/12 - -7).
32
Let c(h) = h**3 - 11*h**2 + 5*h + 149. Suppose -5*y = -5*q - 15, 5*y + 0*q = 3*q + 21. Calculate the smallest common multiple of 12*y/3 - 4 and c(9).
160
Let t = 1/318 + 150/53. Let u = 5615/1308 - -68/109. What is the common denominator of u and t?
12
Suppose -2*l + 90*s - 4 = 89*s, 4*l + 2*s = -24. Let v = 6566 + -52461/8. What is the common denominator of v and 3/l*(2176/264 + -10)?
88
Suppose -53*h - 19*h = -143*h + 597678. What is the least common multiple of 1 and h?
8418
Suppose 42 = 7*a + 14. Calculate the common denominator of 73/396 and a/12 - (-49)/2.
396
Suppose -3*x - 39 = 5*i, 7*x - 9*x - 30 = 4*i. What is the least common multiple of 9 and 9*1*(6/(-2) - i)?
27
Let y = 402 - 592. What is the common denominator of (-902)/780 + 114/y and 31/15?
390
Suppose 18 = -3*h, 2*z - 58 + 20 = 5*h. What is the lowest common multiple of z and 4820?
4820
Suppose 27*s = 32*s + 16*s - 336. Calculate the smallest common multiple of s and 136.
272
Let l(r) = 62*r - 5. Let u be l(-1). Let p = u + 127. What is the least common multiple of p and 36?
180
Suppose 0 = 2*v - 106 + 108. Find the common denominator of (-2951)/624 + (v/3 - -1) and 8/(-32) - 58/8.
16
Let a = -3 - -28. Let r be (-846078)/(-104) - (a + -20). Let p = -8130 + r. What is the common denominator of -29/8 and p?
104
Let g(r) = 9*r**2 + 18*r - 31. Let p be g(-7). Suppose p*q - 1558 = 265*q. Calculate the lowest common multiple of q and 16.
656
Find the common denominator of 145/7974 and (31/(-10) + 4)/(-8 - 262/(-30)).
87714
Let n = -16644 - -16938. Calculate the lowest common multiple of 60 and n.
2940
Find the common denominator of 47/2 and 52/(72384/252) + (-1)/2.
116
Suppose -87*a + 12 = -75*a. What is the common denominator of (-7)/a - 17145/(-2592) and 139/12?
96
Let f = -49 + 49. Suppose f = -w + 10. Calculate the smallest common multiple of w and 10.
10
Suppose 3*t = 3*m - 306, -92*t - 294 = -3*m - 95*t. What is the smallest common multiple of 730 and m?
7300
Let l = 4746991957 - 44327410826833/9338. Let b = l - 19/667. Let u = 844/9 + -6124/63. Calculate the common denominator of b and u.
14
Let d(b) = 6*b + 8. Let v(g) = g - 17. Let x be v(22). Suppose f - 5 = 2*f, -x*t - 2*f = -10. Calculate the lowest common multiple of t and d(-1).
4
What is the least common multiple of 0 - -4*(11 - -1) and 7 + 336/60 - 21/35?
48
Let v(z) = -z**2 + 3*z. Let s be v(2). Let j = 177/5 + -4793/120. Calculate the common denominator of (s/(-27)*-3)/((-4)/(-447)) and j.
24
Let s = 748/3 - 21189/85. Find the common denominator of s and 2/15.
255
Find the common denominator of -29/2202 and ((-2)/20)/(338/(-3718)).
11010
Let k = -30440167/12 + 2538569. Let a = k + -1884. Let c = 1/1608 - -41003/1608. What is the common denominator of a and c?
12
Let h be (1 + 1)/(28/(-38878)). Let m = -11179/4 - h. Find the common denominator of m and 91/106.
212
Let n(h) = 3*h + 25. Let d(q) = -3*q**2 + q - 1. Let p be d(1). Let r = p + 5. What is the smallest common multiple of r and n(-5)?
10
Suppose 21 + 27 = 8*y. What is the lowest common multiple of 12 and (y/(-4))/((-18)/120)?
60
What is the smallest common multiple of 133 and 1875 + 12/(-5)*70/(-28)?
13167
Let f = 4 + -10. Calculate the common denominator of 2585/13959*(-21)/(-10) and ((-3)/(-16))/(f/(-124)).
72
Let l = 31985 + -28765. 