4*r = -3*i - 1. Suppose -364 + 280 = -7*c. What is the smallest common multiple of i and c?
60
Let n = -23/378 + 643/54054. What is the common denominator of n and 34/247?
2717
Calculate the common denominator of (4 - 303/78)*(183/(-36) - 4) and -95/488.
6344
Let v = -3/229166 + -12395703505/1374996. Let s = v + 9005. What is the common denominator of s and -67/14?
84
Let v = 314 + -6915/22. Let c = 312 + -651. What is the common denominator of v and c/225*(3 + (-60)/16)?
1100
Find the common denominator of -29/1494 and ((-227)/12 - (-70)/7)/((-2)/4).
1494
Let h = 300/413 - 57133/55342. What is the common denominator of -16/35 and h?
4690
Suppose 0 = 12*y + 21557 - 21629. Calculate the lowest common multiple of y and 660.
660
Let g = -236 + 240. Suppose -2*v - 90 = -g*n, 4*v - 145 = -n - 4*n. What is the smallest common multiple of 8 and n?
200
Let w(b) = -3*b**2 + 12*b + 46 + b**3 - 9*b**2 + 16*b**2 + 3*b**2. Let f = 24 - 30. Calculate the smallest common multiple of w(f) and 15.
30
Let l = -16/499 + -57001/11976. Find the common denominator of l and 161/66.
264
Suppose -114*v + 112*v - 100 = 0. Calculate the common denominator of (-80)/v*((-31)/6 + 2) and 61/15.
15
Suppose -23*d + 3960 = 37*d. Let u = -5 + 16. Suppose -8*t = -u*t + d. Calculate the least common multiple of t and 20.
220
Let w(i) = 38*i + 1420. Calculate the lowest common multiple of w(31) and 1.
2598
Find the common denominator of 37/500 and (112/(-720))/(84/693).
1500
Suppose -2 = -z + 11. Suppose -z = -5*s + 2. Find the common denominator of 56/27 and ((-5)/s*1 + 2)*52.
27
Suppose 64 - 238 = -14*z - 15*z. Let x(a) = -a**3 - 5*a**2 - a - 3. Calculate the smallest common multiple of x(-6) and z.
78
Let h(r) = r**3 - 17*r**2 - 6*r + 24. Let i be h(-8). Let n = 7606/5 + i. What is the common denominator of n and (3/15)/(6/265)?
30
Suppose g = 5*u - 223, 4*g + 32 = 5*u - 200. Find the common denominator of ((-34)/6)/(u/(-6)) and (1 + 4/(-5))/(12386/(-289945)).
22
Let o(t) = t**2 - 2*t - 1. Calculate the least common multiple of (2 - 37)/5*(7 + -12) and o(3).
70
Let c(m) = -2*m**3 + m**2 + m + 73. Let t be c(0). Suppose 3*y - 152 - t = 0. Let d = 80 - y. Calculate the smallest common multiple of 8 and d.
40
Let q(k) = 8*k**2 - 5*k + 5. Suppose 5*l - 12 = 2*l. Let j be q(l). Suppose 5*b = -43 + j. What is the lowest common multiple of 6 and b?
42
Suppose 9*y - 36 = -0*y. Suppose 118 = -3*o - i - 92, -y*o - 2*i - 278 = 0. Find the common denominator of -101/4 and (5 - (-19)/(-4))*o/(-4).
16
Let w(a) = -a**2 - 3*a + 18. Let c be w(3). Suppose 5*n - k - 59 = 0, c = -4*n + 3*n + k + 15. What is the smallest common multiple of n and 56?
616
Let u = -123 + 129. Let g(x) = x**3 - 6*x**2 + 6*x - 20. What is the lowest common multiple of g(u) and 120?
240
Let i = 2/58625 + 1700099/762125. Let v(u) = u**2 + 4*u - 3. Let h be v(-6). What is the common denominator of i and (-17)/h + -5 + 3?
117
Suppose -3*g + 12 = -4*p, 21*p = g + 16*p - 15. Suppose 6*f - 8*f + 36 = g. What is the least common multiple of 90 and f?
90
Let u be (3/9)/(208348195/41669565 + -5). Let r = -37541 + u. What is the common denominator of r and 39/2?
74
Suppose -4889*t + 4905*t = 77040. What is the smallest common multiple of 4280 and t?
38520
Let a = -42329/34 - -207081967/166362. Let s = a - -3/233. Find the common denominator of s and (-178)/3*(5 + (-81)/16).
168
Let k(h) = -h**2 - 10*h + 27. What is the least common multiple of 297 and k(0)?
297
Let k(n) = -30*n + 1. Let o be k(-1). Let f = -28 + o. Suppose 5*g - 54 = -5*t + 2*t, f*g + 2*t = 32. Calculate the lowest common multiple of 6 and g.
12
Suppose -17*x + 180264 = 20*x. Let i = -38893/8 + x. Calculate the common denominator of -13/30 and i.
120
Suppose -20*i - 12*i = -3*i - 348. Suppose 0 = 4*t + 2*b - 1202, -5 = -7*b + 2*b. Calculate the lowest common multiple of i and t.
300
Let u(w) = -11*w + 5. Suppose -10*r + 7 = -3*r. Let f be u(r). Let b(m) = -m**3 - 5*m**2 + 5*m + 21. Calculate the least common multiple of b(f) and 6.
54
Let m = -10/2599 + -28509/20792. Find the common denominator of 139/756 and m.
1512
Let q(i) = 64403*i + 12. Let l be q(-2). Let z = l + 1032015/8. Let o = z - 209. What is the common denominator of 81/2 and o?
8
Suppose -61*g + 4393 + 2392 = 1417. What is the smallest common multiple of g and 4488?
4488
Let s = -127 + 246. Let k = s - 104. Suppose 0 = -3*h - 4*p + 13, 3 - 6 = 2*h + 5*p. Calculate the smallest common multiple of h and k.
165
Let g = -49 - -97. Suppose l - g = -l. Let h(j) = -16*j + 235. Calculate the smallest common multiple of l and h(13).
216
Let w = 103 + -58. Let r = -42 + w. Let b(m) = 7*m - 1. Calculate the smallest common multiple of 20 and b(r).
20
Suppose a + 4 = 0, -s + 4*a + 121 = 4*s. Suppose 3*i - 6*i + s = 0. Let l(n) = 16*n - 8. What is the lowest common multiple of 12 and l(i)?
312
Suppose -10*z + 455 = 85. Let m = z - 29. Calculate the lowest common multiple of 1/(-2) + 65/2 and m.
32
What is the common denominator of (10 + (-150)/48*4)/(896/(-5)) and 83/392?
12544
Suppose 0 = -27*c - 4 + 328. Let f = -155 - -199. What is the lowest common multiple of c and f?
132
Let t(n) = -2*n**2 + 9*n + 21. Let u be t(-3). Find the common denominator of (u/54)/(-2) + 741/756 and -125/6.
84
Suppose -88*w + 41216 = 234*w. Calculate the smallest common multiple of w and 96.
384
Suppose m - 30937 = -5*y, -3*m - 4883 = -3*y + 13672. Let j = y - 129898/21. Calculate the common denominator of -29/18 and j.
126
Find the common denominator of 1378/(-26)*2/(-12) and (26/39)/((-38)/(-79)).
114
Suppose -16*j = 3*j + 456. Find the common denominator of ((-4)/(j/(-51)))/((-22)/8) and 23/16.
176
Let r = -281830/9 - -133305350/4257. What is the common denominator of r and 13/1419?
1419
Let x = -186923/14 + 13358. Suppose 3*l + g + 15 = 0, 5*l + 25 = 4*g - 0. Calculate the common denominator of x and -3 - l - (-1)/(-16).
112
Let a = -91 - -92. What is the common denominator of a + (-8)/6 + 374/120 and 53/18?
180
Suppose 2*o - 138 = 4*q, 85 = o + q + q. Let l = 95 - o. Calculate the smallest common multiple of l and 18.
18
Suppose -o = -2*l - 48, -2*l = o + 4*o - 288. Let j = 199825 + -199721. What is the least common multiple of o and j?
728
Let d be ((-35)/(70/12))/((-6)/(-376)). What is the least common multiple of 1 and (-3995)/d - 3/(-8)?
11
Let d(s) = -2*s + 2 - s - 3*s - s - s - s**2. Let f be 256/48*(-3)/2. Calculate the least common multiple of 88 and d(f).
88
Find the common denominator of (1/48)/((-615)/14186) and 137/120.
360
Let x = 1705 + -2392. Let d = -2771/4 - x. What is the common denominator of 12/(-6) + (-53)/30 and d?
60
Let o = -171175355351135/7693045570444 + 8/1272840101. Let j = o + 1/1511. What is the common denominator of j and 113/24?
24
Let l = -3890 - -353992/91. Find the common denominator of -39/196 and l.
2548
Let r = 9 + -4. Suppose 0 = -3*z + 3*v - r*v - 25, 0 = 2*z - 5*v + 42. Calculate the least common multiple of (-8)/(-44) + (-174)/z and 4.
16
Suppose 4*c - 40 = t, 0*t = 3*t - 2*c + 130. Calculate the common denominator of -187/90 and 147/(-108) + 6 + t/8.
180
Calculate the common denominator of -31/39 and 28/322 + (-3340)/(-81144).
11466
Let o(x) = 17*x**3 - 1. Suppose -2*m + 15 = m. Let r(k) = -18*k**3 + 1. Let l(v) = m*o(v) + 4*r(v). Calculate the lowest common multiple of l(1) and 10.
60
Let z be (-468)/26*1/(-2). Suppose 3*h - z = -75. Calculate the common denominator of (8/(-40))/(3*2/(-95)) and h.
6
Let y(z) = -z**2 + 264*z - 2008. What is the smallest common multiple of 1320 and y(8)?
1320
Let r = 8 - 0. Suppose -50*h + 54*h = -4*p + 352, 3*h = 0. Calculate the lowest common multiple of r and p.
88
Let q(h) = 26*h - 48. Let o be q(12). Suppose -o = -l - 2*l + 3*v, -2*l + 5*v + 176 = 0. Calculate the smallest common multiple of l and 10.
440
Let d = -8632 - -9676. Calculate the smallest common multiple of 2320 and d.
20880
What is the lowest common multiple of 60 and ((-4)/72*-6)/((-3)/(-540))?
60
Suppose 0 = r - 3*r - 18*r + 1320. What is the lowest common multiple of r and 138?
1518
Let d = -80 + 84. Suppose -58 - 26 = -d*f + 5*k, -5*f - k + 76 = 0. Calculate the lowest common multiple of f and 72.
144
Let x = -76847103/380 + 4043264/19. Let q = 10569 - x. Find the common denom