 + t + 1.
192
Let s(p) = p**3 - 12*p**2 + p - 7. Let m be s(12). Suppose -11*n + m*n = -354. Let i = -49 + n. Calculate the least common multiple of i and 26.
130
Let g = 1180 - 2455/2. Let d be (-11)/44 - 107/1716. Let o = 2/39 - d. Find the common denominator of g and o.
22
Let n = -259/85 - -11/17. Let c = -183866/67 + 8233/3. Calculate the common denominator of n and c.
1005
Suppose 4 = -0*p - p. Let u(a) = -393*a + 2765. Calculate the lowest common multiple of 3 - (-2 - p) - -79 and u(7).
560
What is the lowest common multiple of 18*(-5)/90*-3*3 and 504?
504
Let t = 272 - 36. Suppose 3*o - 3*h = 177, 2*o - 2*h + t = 6*o. Calculate the lowest common multiple of o and 4.
236
Suppose -z + 2*z - 30 = 0. Suppose 4*v - 7*d + 10*d = 45, -18 = -v - 3*d. Calculate the lowest common multiple of z and v.
90
Let t = -888 - -892. Suppose 4*v - 7*v = -9. Suppose -c + 4*g = 2*c - 43, -v*g = 2*c - 6. Calculate the lowest common multiple of t and c.
36
Suppose -74*o - 132 = -72*o. What is the common denominator of -36/55 and o/5*(-3)/80*-4?
550
Let g be 5*(-5)/(-25)*24. Calculate the smallest common multiple of 428 and 28/(3*16/g).
2996
Let u = 9/6611 + 1143433/198330. Let x = -1177/5 - -4681/20. Find the common denominator of x and u.
60
Suppose 4*w - 200 = -5*q, -42 = 5*q - 22. Calculate the smallest common multiple of w and 35.
385
Let i = -2539985/64 + 39686. What is the common denominator of i and -131/1464?
11712
Let h be (1 + 6/(-21))*(-3738)/(-12). Let n = 1072/5 - h. What is the common denominator of 109/20 and n?
20
Let k = -34789 - -35183. Suppose 0 = 3*t - 2*t - 8. What is the least common multiple of t and k?
1576
Let d = -1074901/3393 + 9180/29. Let q = -6761/3 - -2233. What is the common denominator of q and d?
117
Let b = -957/2 + 3749/8. Let i = 5600/76483 + -89/409. Find the common denominator of i and b.
1496
Suppose -z + 5*m = 24, -4*z + m - 4*m - 4 = 0. What is the smallest common multiple of 0 + (0 - -3) - -1 and 413/(-236)*z*1?
28
Let n(b) = -29*b + 24. What is the least common multiple of 728 and n(-4)?
3640
Suppose p + 2365 = 5*r + 546, 4*r = 2*p + 3608. What is the common denominator of p/(-336) + (-32)/8 and -83/70?
280
Suppose 38*u = -6*u + 35502 + 24778. Calculate the least common multiple of 137 and u.
1370
Let o = 567 - 208. Suppose -17 = 6*t - o. What is the smallest common multiple of t and 18?
342
Let t(m) = m**3 - 9*m**2 - 2*m - 76. Let i be t(10). Suppose -12 = i*p - 100. Calculate the smallest common multiple of p and 8.
88
Let u be 0 - 1/((1 + 4)/(-5)). What is the common denominator of 103/28 and 222/440 + (2/10 - u)?
308
Let c = 216 + -213. Let r(y) = -2*y**3 + 4*y**2 + 4*y + 10. What is the smallest common multiple of 12 and r(c)?
12
Suppose -6*v = -7*v - 9. Let s = v - -12. Calculate the common denominator of -44/19 and 78/(-15)*(-10)/(-6) - s.
57
Let o = -1592437/54 - -29492. Find the common denominator of 29/132 and o.
1188
Let g be 10/(-45)*-3*9/6. Let n(q) = -5*q + 3. Let h be n(g). Calculate the common denominator of -103/10 and 4/1 - 69/h.
10
Let m = -101 - -98. Let n(x) be the third derivative of -x**4/24 + x**3/6 - 10*x**2. What is the lowest common multiple of n(m) and 11?
44
Let n = -77/142 - -2636/213. Calculate the common denominator of 61/54 and n.
54
Calculate the least common multiple of 45 and 4/3 + 0 + ((-6292)/(-33) - -8).
1800
Let n be (-32)/(-64) - 170/4. Suppose -5*r + 34 = -3*j + 1, 4*j - 2 = -r. What is the lowest common multiple of ((-14)/3)/(n/18 + 2) and r?
42
Let w = 583 - 581. Calculate the common denominator of 25/2 and (-9 + (-2988)/(-333))/(w/(-32)).
74
Let l = 78 - 88. Suppose 0 = 5*f + 5*w - 180, -94 = -2*f - 3*w - 19. Calculate the least common multiple of ((-5)/l)/((-5)/(-90)) and f.
99
Calculate the smallest common multiple of ((-3)/(12/(-8)))/(-2) + 210/6 and 70.
1190
Suppose 3*q - 7 = 2*y - 4*y, 2*q = 4*y - 22. Suppose o - 6*o + y = 0, -5*l = -5*o - 5. Let b = 96 - 84. Calculate the lowest common multiple of l and b.
12
Suppose 120*u - 206706 = -29*u - 35058. What is the lowest common multiple of u and 256?
2304
Suppose 24*x - 19*x + 390 = 0. Let g = x + 48. What is the least common multiple of (4/3)/(58/g - -2) and 6?
60
Let k = 4 - -20. Suppose -j + 2*j + 1263 = -5*h, 0 = -2*h - j - 504. Let u = -232 - h. What is the lowest common multiple of u and k?
168
Suppose 512 = i + 3*i + 312. Suppose n - 98 = -n. Suppose -i*s + n*s = -48. What is the least common multiple of 24 and s?
48
Let j = -1035042/648179 - -3/41818. What is the common denominator of j and -1/248?
248
Let g = 34 - 22. Let l(c) = 2*c**3 - 13*c**2 - 9*c + 126. What is the smallest common multiple of g and l(6)?
36
Let n = -406 - -413. Calculate the common denominator of ((-2)/(-5))/(12/1092*n) and -13/18.
90
Suppose 0 = -o - t + 697, 304*t = 3*o + 308*t - 2095. Calculate the smallest common multiple of o and 891.
6237
Calculate the common denominator of 143/84 and ((-3)/2)/((-7581)/33763) + -7.
1596
Let j(u) = u. Suppose v - 5*v - 481 = 3*g, 0 = 2*v + 2*g + 242. Let r = -117 - v. What is the least common multiple of j(3) and r?
3
Let f be 6 + 1060/(-5) + 8. What is the common denominator of 276/f + (0 + 2 - 2) and 20/9?
99
Suppose 0 = -3*k - 3*p + 2838, 3*k - 429*p = -434*p + 2840. What is the smallest common multiple of k and 420?
3780
Let o = 47 + -71. Let g be (-28)/(-4) + 5 + 0. What is the common denominator of (-3)/o*62*(-6)/g and -40/11?
88
Let a = 4097 - 44500/11. Let k = a - 59673/1166. What is the common denominator of 36/7 and k?
742
Calculate the common denominator of -44/309 and ((-62)/4)/((570/228)/(10/(-8))).
1236
Let u = 73/114 + 105/19. Find the common denominator of u and 18/27*(-582)/72.
18
Let b = -337144904/805 - -837627/2. Find the common denominator of b and 13/966.
4830
Let d = -48 + 52. Suppose 865 = -4*y + 2*f + f, 0 = -3*f - 15. What is the smallest common multiple of d and (-6)/27 + (-3)/(54/y)?
12
Let y = -129 + 129. What is the lowest common multiple of 18 and (4 + -1 + y)/(8/88)?
198
Suppose 0 = -4*h + 27*h + 2616 - 10551. Calculate the lowest common multiple of 1104 and h.
5520
Let q = 156/127 + -14459/3810. Find the common denominator of -35/24 and q.
120
Calculate the least common multiple of 243 and (67554/(-973))/((5 - -1)*(-2)/224).
3888
Suppose -58*f = -2*f - 224. Suppose 0 = -f*q + 6*t - 8*t + 1158, 6 = 2*t. What is the smallest common multiple of 6 and q?
288
Let i = 1661543/76 - 21863. What is the common denominator of i and -35/2736?
2736
Suppose -323 = -8*f + 49*f - 3931. What is the least common multiple of 96 and f?
1056
Let c(y) = 2*y**3 + 27*y**2 - 8*y + 14. Let v be c(-14). Find the common denominator of 0 + -10*4/v and 33.
7
Let q = 15/4319 - -131127/3282440. Find the common denominator of q and -29/220.
8360
Suppose -15 = -3*a, 0 = l + 2*a + 5 - 21. Suppose 9*d = 8*d + 8. What is the smallest common multiple of (d/l)/((-4)/(-6)) and 26?
26
Suppose 23*c - 202 - 557 = 0. Calculate the least common multiple of c and 9.
99
What is the common denominator of 2307/(-9960) + 20/(-25) + 329/280 and 53/166?
830
Suppose -2*n + 3*n = -q + 1, 3*q = n + 11. Let v(t) = 16*t - 20. What is the smallest common multiple of v(q) and 6?
84
What is the least common multiple of 1008 and (-2 + -214)/12 + 226?
13104
Let g(s) = 164*s + 86. Let k be g(2). Calculate the common denominator of (k/2547)/(0 + (6 - 4)) and -1/7.
1981
What is the common denominator of (-6)/(-36)*54/(-434) and -43/126?
3906
Let n(i) = i**3 - 19*i**2 + 34*i + 20. Let a(k) = 2*k**2 - 33*k - 37. Let v be a(18). Calculate the least common multiple of 16 and n(v).
80
Let u(y) = y**3 + 22*y**2 + 43*y + 990. Calculate the lowest common multiple of u(-22) and 84.
924
Let i = -45/74 - -435/1628. Find the common denominator of i and (-5)/44*(-159)/15.
44
Let p = 1549/12 + -481/4. Let r = p + -61/2. What is the common denominator of ((-4)/(-28))/((-28)/343) and r?
12
Let b(k) = -2*k**3 + 2*k**2 - 2*k + 216. Let h be b(0). Let w = -425/2 + h. Calculate the common denominator of w and 4345/910 - 4/(-26).
14
Let a = 22759/6 - 3783. Find the common denominator of a and -95/48.
48
Let b(r) = 1. Let i(l) = 21*l + 91. Let k(f) = 3*b(f) + i(f). Calculate the lowest common multiple of 185 and k(-4).
370
Let a(w) = 5 - 4 - 16*w - 