v + 450 = 3*t. What is the least common multiple of t and 312?
312
Let r = 1329/22 - -10715/11. Let w = 1055 - r. Find the common denominator of 29/32 and w.
32
Suppose 2*q - 2 = -0*m - 4*m, -3*q = -3*m - 21. What is the common denominator of 35/478 and (-54)/(-22)*(m + -2)/8?
5258
Let p = -2978009/350 - -59576/7. Find the common denominator of p and -3/2870.
14350
Suppose -3*y + 662 = -5*c - 18, 912 = 4*y - 4*c. Calculate the smallest common multiple of y and 897.
8970
Let c = -3059 + 1670. Let q = c + 50009/36. What is the common denominator of 4/87 and q?
1044
Let w be 2/((-1244)/(-412) - 3). Let y = w + -99. Suppose -z = y*g - 45, -1 - 39 = -3*g - 2*z. What is the lowest common multiple of g and 20?
20
Let u be 120170/695*(-1)/12 + -1. Let y = -540/421 + 41380/58519. Let h = y - u. Find the common denominator of -6/29 and h.
174
Let f(o) = 242*o**2 + 24*o + 52. Calculate the least common multiple of f(-2) and 22.
10692
Let m = 170778535/56 - 3049486. Let h = -865/7 + m. Let w = -92/13 + 2039/312. Find the common denominator of w and h.
24
Let l = -8030 + 8435. Calculate the least common multiple of l and 10.
810
Let h = -40 - -49. Let t(v) = 3*v - 15. Suppose 0 = 5*p - 25, -2*y = -2*p - 3 - 3. Calculate the least common multiple of h and t(y).
9
Let c = 20654094 + -1032811689/50. Let u = 10691/5 + c. Let o = -3/5524 + 39706/4143. Find the common denominator of o and u.
300
Calculate the common denominator of 113/6 and (-30)/(-344)*(-116)/290.
258
Let a(n) = -5*n**2 - 2*n + 39. Let b be a(-5). Find the common denominator of (-7623)/(-952) + (b/(-68) - 1) and 93/2.
8
Calculate the common denominator of -89/488 and 16/(-14) - (-356380)/51912.
4392
Let i(o) = -9*o + 320. Let v be i(35). Let g = -582993/32 + 18220. What is the common denominator of ((-54)/4 - v) + -8 and g?
32
Suppose 20 = 2*t + 14. Suppose -4*p + t*p + 3 = 0. Find the common denominator of -37/7 and (45/(-20))/(p/21).
28
Let c(j) = 2*j**3 - 21*j**2 + 4*j + 11. Let g be c(10). What is the smallest common multiple of 8 and (-6643)/g - 3/7*-1?
136
Calculate the least common multiple of 21 and (-204)/1122 + 2 + 213668/22.
67998
Suppose -55*a + 76 = -51*a. Suppose q - 35 = a. Suppose 10*m = 4*m + q. Calculate the smallest common multiple of 10 and m.
90
Let l be (-2)/8 + -2 + (-434)/(-193). Let x = -20459/772 - l. Calculate the common denominator of 37/7 and x.
14
Let w = -15/32 - -13/32. Let c be 22 - 23 - 0/(-2). Find the common denominator of w and 0 - (c + 1144/1856).
464
Let a = -715 - -1397/2. Let z = 2479/84 - -70673/210. Let x = z - 1503/4. Find the common denominator of a and x.
10
Let k(i) = 33*i - 1371. Calculate the lowest common multiple of k(63) and 27.
6372
Suppose 5*k - 10*k - 2105 = -3*d, -4*d + 438 = -k. Let n = k + 436. Let j(p) = 2*p**3 - 2*p**2 - 3*p + 2. What is the smallest common multiple of j(2) and n?
36
Let i = 46 - 31. Let c = 276 + -269. What is the least common multiple of i and c?
105
Let l = -17478 + 18160. What is the least common multiple of l and 3751?
7502
Calculate the common denominator of 15884/28512 + 8/3 + -3 and 95/594.
7128
Suppose 0 = -2*i - 10834 + 10862. What is the lowest common multiple of 25 and i?
350
Let r be (6 + 1)*(-22)/(-77). Suppose 3*w + r*j = 157 + 243, 0 = 4*j - 8. Calculate the common denominator of 1322/w + 6/(-33) and -25/11.
66
Suppose -c - 4*a + 56 = 0, 11*a - 9*a = 10. Calculate the smallest common multiple of (-20)/(-6)*891/45 and c.
396
Let j = -104 - -788. What is the smallest common multiple of j and 66?
7524
Let r = -41 - -44. Suppose 31559 = r*m - 2*l, 5*m - l - 28085 - 24511 = 0. Let x = -126149/12 + m. What is the common denominator of -89/32 and x?
96
Suppose 3*v + 4*z + 3 = -4, -5*z = -3*v + 2. Let q = 22 + v. What is the least common multiple of q and 24?
168
Calculate the smallest common multiple of (-246 - -273)/(-1 + 4) and 1308.
3924
Suppose 2*a - 38 = -4*m, 11*a + 55 = 5*m + 6*a. What is the common denominator of -2*(-4 + 2) + (-58)/15 and 5/m + 25/(-22)?
165
Let u = -1685 + 1701. Let r be 1 + (1 + -13 - 3). Let t = r - -22. What is the smallest common multiple of t and u?
16
Let c = 64/753 + -71873/128010. What is the common denominator of -53/272 and c?
1360
Let q be 0 + 11 + (13 - 5)/(-2). Suppose -q*j + 5*j + 305 = -n, -3 = -3*n. Calculate the lowest common multiple of j and 136.
1224
Let a be (88/12)/((-4768)/3639). Let o = -88/149 + a. Calculate the common denominator of o and 41/5.
80
Let a = 210 - 201. Suppose -35*i = -2059 + 589. Calculate the least common multiple of i and a.
126
Let x = 7901243/36 - 219483. What is the common denominator of (-254)/(-144)*(2 - 4) and x?
36
Suppose -177*r + 1275 + 11712 + 5421 = 0. Calculate the smallest common multiple of r and 0 + (-156)/(-2 + 0).
312
Let o = 7512 + -2721. Let x = o + -57445/12. Let a = -161/12 + x. Find the common denominator of a and -127/18.
18
Calculate the common denominator of (-173)/(-30) + 4/(-12) and (16902/210)/(-9) + (-186)/217.
30
Let o = -7401 + 7404. Calculate the least common multiple of 15 and o.
15
Suppose -82 = -4*f + 5*p, 0 = 5*f - 151*p + 153*p - 152. Calculate the lowest common multiple of 518 and f.
1036
Suppose k + w - 67 = -13, 0 = 9*w - 3*w. Calculate the lowest common multiple of 2694 and k.
24246
Suppose 84*v - 12 = 81*v + i, 5*v = 5*i + 30. Suppose 2*a - 10*z + 14*z = 196, v*a - 5*z - 261 = 0. Calculate the smallest common multiple of a and 36.
828
Let j be (2/18)/(4/(-110062)). Let k(s) = -3456*s - 400. Let t be k(-1). Let w = j + t. Find the common denominator of -65/6 and w.
18
Let n(t) = 2*t**3 - 2*t**2 + t - 7. Let f be n(3). What is the common denominator of (0 - 149/4)*f/96 and -137/36?
36
Let c = 17 + -101. Let k = 98 + c. Calculate the least common multiple of k and 426.
2982
Let g be ((-24)/9)/2 - (-78)/18. Suppose 0 = 6*r - g*r - 30. Find the common denominator of (-42)/r + (-4 - -3) and -27/8.
40
Suppose 0 = 5*r + h - 12, 13*r - 16*r - 3*h + 12 = 0. What is the common denominator of (-33)/12*r/(-5) and 67/15?
30
Let m = -9163/548 - 4/137. Let v(f) = 3*f**2 + 31*f + 12. Let w be v(-10). Find the common denominator of m and ((-7)/(-686))/(0 - 2/w).
196
Suppose -139 + 156 = 4*f + h, -3*f + 3*h = -9. Calculate the smallest common multiple of f and -1 - 1 - (-56 - -18).
36
Suppose -2*r + 5*s - 22 = -5, 0 = -4*r + 2*s + 6. What is the lowest common multiple of -1 + r + 7 + 8 and ((-42)/(-4))/((-225)/(-450))?
126
Calculate the lowest common multiple of 24/(((-128)/12)/(-8)) and 352.
3168
Let o = 508516/7 - 72447. Let b be (34233/168 - -4) + -2. Let u = b - o. Calculate the common denominator of u and 11/8.
8
Let d(w) = -43*w + 16. Let k be d(-3). Suppose -140 = v - k. What is the smallest common multiple of 25 and v?
25
Let p be -38 - (2 - (6 + 0/6)). Let c(a) = -a**2 - 33*a + 67. Calculate the smallest common multiple of 248/12 - (-1)/3 and c(p).
231
Let q(x) = -x**2 - 25*x - 76. Suppose -4*u - 44 = -3*s, 2*s + 5*u = 26 + 11. Calculate the smallest common multiple of 6/s*-6*-4 and q(-21).
72
Let q(t) = t**2 + 12*t - 17. Let h be q(-13). Find the common denominator of (9/(315/(-10)))/(12/623) and 1192/(-18)*h/(-32).
18
Let u = 85041/70 - 1215. What is the common denominator of u and -11/343?
3430
Suppose -3*f - 11 = -2*k, 0*k + 11 = 5*f + 4*k. Calculate the common denominator of 27/8 and f/9 + 2109/15822.
2344
Let j = -10 + 29. Suppose j*m = 18*m - 82. Let c = -46 - m. Calculate the least common multiple of 24 and c.
72
Suppose -2*i + 178 = 2*c, -5*i - 153 = 3*c - 600. Let w = -86 + i. What is the lowest common multiple of 37 and w?
148
Suppose 0 = 191*i - 26451 - 6783. Calculate the smallest common multiple of i and 75.
4350
What is the smallest common multiple of ((-28)/140*-330)/(1 - 1/2) and 10?
660
Calculate the common denominator of 18 + -10 + -24*(-860)/(-2475) and 74/9.
495
Let h(w) = 5*w - 45. Let y(z) = -z + 9. Let n(r) = 2*h(r) + 11*y(r). Let d be n(12). What is the smallest common multiple of 1 - (4 - 4)/d and 1?
1
Suppose 3 + 3 = f + 2*c, -25 = 5*c. Suppose -5*t - 4*s + 42 = -0*s, -3*t = -5*s - 77. What is the lowest common multiple of t and f?
112
Let r be -4 - 3 - 0*2/12. Let y(t) = 2*t**2 + 19*t + 19. Let m be y(-14). Calculate the smallest common multiple of 36 and m/(-70)*-4 - (-2)/r.
7