t common multiple of m and 1.
13
Suppose -5*q - 1925 = -5*n, -108 - 1047 = -3*n + 2*q. Let w = n - 789/2. What is the common denominator of w and 23/11?
22
Calculate the least common multiple of 30 and 27/15 + 8/(-10) + 113.
570
Let d be 4 + (0 - 3 - -5). Calculate the common denominator of (-39)/18 + d/27 and -54/5.
90
Let d be 8/3*(-9)/(-12). Let s = 46 - d. Calculate the lowest common multiple of 44 and s.
44
Suppose 4*w - 4078 = 9182. Let h = 632 - w. Let l = -21395/8 - h. Calculate the common denominator of 43/2 and l.
8
Let t(i) = -i**3 + 5*i**2 + i - 5. Let a be t(6). Let h = 23 + a. Let u = -3 - h. Calculate the smallest common multiple of 2 and u.
18
Suppose w + 12 = 17, 3*j - 471 = 3*w. What is the least common multiple of j and 8?
648
Let a be (-720)/(-105) + (-2)/(-14). What is the smallest common multiple of 15 - ((-12)/3 + a) and 16?
48
Let c(l) = 2*l - 1 + 2 + l + 2. Let n be c(-3). Let z = 12 + n. Calculate the smallest common multiple of z and 11.
66
Let x = 54 + -20. Suppose 0 = -4*b + x + 2. Let p = b + -7. What is the lowest common multiple of p and 8?
8
Let y = -344/35 - -12/5. Suppose 4*j = 31 - 11. Find the common denominator of y and j/15 + (-588)/225.
175
Let u = 15100 - 15141. Let h be ((-14)/2)/(2/22). Let m = h - -534/7. Calculate the common denominator of m and u.
7
Let q(y) = y**2 - 34*y - 241. Calculate the lowest common multiple of 8 and q(41).
184
Let m = 27746/2445 + -12/815. Find the common denominator of (-1)/(-4) + 109/(-12) and m.
6
Let c be 48 - 0/(-6 + 3). Let z = c + -10. Calculate the smallest common multiple of z and 6.
114
Let y = 334 - 282. What is the smallest common multiple of y and 14?
364
Suppose 10*r - 3*r = 70. Find the common denominator of 73/10 and (-1948)/(-320) + (-4)/r.
80
Let a = -410 + 470. What is the lowest common multiple of a and 30?
60
Let d = 359319/44 - 8167. What is the common denominator of d and -139/216?
2376
Let z be (-89 - -1)*(-1084)/(-8). Let v be z/1136 + (-3)/3. Let w = 1/284 - v. Calculate the common denominator of 19/14 and w.
14
Calculate the common denominator of (141*4/192)/(-1)*-2 and -139/102.
408
Let o be 6/3 + 0 - 5. Let p = o - -1. Calculate the least common multiple of (1/p)/((-3)/132) and 18.
198
Let c(m) = -m**2 - 6*m + 8. What is the smallest common multiple of c(0) and 400?
400
Let x(z) = -z**3 + 31*z**2 - 26*z - 110. What is the least common multiple of 2 and x(30)?
10
Let z = -15 - -32. Let k = z - 15. Calculate the common denominator of -9/8 and k + (-210)/(-27) + -3.
72
Suppose 0 = 2*r + 2*v - 32, 4 + 2 = -3*v. Suppose 5*d = -34 - 16. Let x = r + d. Calculate the lowest common multiple of 20 and x.
40
Calculate the common denominator of ((-98)/20 - 9)*1/(-3) and -107/6.
30
What is the common denominator of 5/10 + (-429)/72 and -37/32?
96
Let n(f) = -f**3 - 7*f**2 + 7*f + 3. Let r be n(-8). Let x = 2724 - 24460/9. Calculate the common denominator of x and -6 - (-1)/r*40.
99
Let u = 176329/11196 - -2/2799. Find the common denominator of (-40)/6 - (-138)/(-1035) and u.
20
Suppose 5*q - 13 = -j, -5*q = j - 6*j + 155. Suppose h - j = -3*h. What is the smallest common multiple of h and (-1 + (-3)/(-4))*-20?
35
Suppose -291 = -b + 5*y, 9 = 5*y + 34. Calculate the common denominator of -4 - (0 - b/48) and 95/14.
168
Let n(g) = -g**2 - 18*g + 17. Let j be n(-16). Suppose 2*q + q - 4*c - 34 = 0, -5*q + j = c. What is the smallest common multiple of q and 8?
40
Let r(y) = -y**2 + 4*y. Let d(l) = 2*l**2 - 12*l - 1. Let c(x) = -3*d(x) - 8*r(x). What is the lowest common multiple of 5 and c(-3)?
45
Suppose 14*r + 253 = 757. Calculate the smallest common multiple of r and 6.
36
Let g(q) = -q**3 + 4*q**2 + 22*q - 7. Let d be g(7). Suppose 4*m - 81 - 23 = d. What is the lowest common multiple of m and 20?
260
Let s(y) = 5*y**3 + 2*y**2 - 18*y + 3. Let h be s(-8). Let z = h + 27443/12. Let d = -1/6148 + -26115/86072. Find the common denominator of d and z.
168
Let q = -25162 + 4076321/162. Find the common denominator of q and 161/270.
810
Suppose 0 = -5*y - 178 + 223. Calculate the lowest common multiple of y and 248.
2232
Let h = 2993 - 59897/20. What is the common denominator of 101/6 and h?
60
Let u = -1213/24 - -397/8. Calculate the common denominator of -125/24 and u.
24
Suppose 5*r + 21 - 31 = 0. What is the common denominator of 129/3*(r + -1) and ((-9)/4)/((-3)/(-1))?
4
Suppose 99 = -31*w + 595. Calculate the smallest common multiple of 402 and w.
3216
Let t = 54847/9 + -6088. Let u(k) = 2*k + 7. What is the common denominator of t and u(-6)?
9
What is the common denominator of -89/45 and (2 - (-55)/8) + (-19 - -19)?
360
Calculate the smallest common multiple of (-4)/(-6) - (-3952)/57 and 7.
70
Let o = 30 + -18. Let d be o/42 + 144096/21. Let n = d - 82433/12. Find the common denominator of 125/36 and n.
36
Calculate the common denominator of 1834/(-756) - (1 + -2) and 73/12.
108
Suppose 4*r = 4*s + 372 - 52, 4*s - 418 = -5*r. Calculate the lowest common multiple of r and 10.
410
Find the common denominator of 0 + ((-102)/63 - (-2 - 0)) and -79/30.
210
Let y = -1144 - -12599/11. What is the common denominator of y and (-1005)/(-804) - (390/16)/(-3)?
88
What is the smallest common multiple of 140 and (-2)/((119/(-98))/17)?
140
Let n = 45455 - 2591003/57. Calculate the common denominator of n and 28/19.
57
Let w(c) = -7*c**3 - c**2 + 11*c + 11. Calculate the smallest common multiple of w(-1) and 58.
174
Let p = -12979/985710 + 9/2266. Let u = 12043/870 + p. Let b = -1364 + 2673/2. Calculate the common denominator of u and b.
6
Let p be ((-5)/10 - 1)*2. What is the least common multiple of 21 + (-2 - (p + 2)) and 8?
40
Suppose 0 = 5*q - 5, 0 = -3*v + q + 18 + 2. Let y = 7 + v. Let d = 30 - y. Calculate the smallest common multiple of d and 12.
48
Let b be 2 - 7/(35/(-45)). Suppose 4 = -10*w + b*w. Suppose 2*h = 6*h - 8. What is the smallest common multiple of h and w?
4
Find the common denominator of 73/33 and (1859/(-264))/(5/4).
330
Let v(z) = 293*z + 38. Let u be v(13). Let l = -30695/8 + u. Calculate the common denominator of l and (-1)/4 - 507/(-60).
40
Let d(o) = -3*o + 3. Let v be d(0). Suppose 2*u + 5*b - 15 = 20, -25 = -v*u - 2*b. Calculate the lowest common multiple of u and 10.
10
Let v(s) = -2*s - 6. Let q be v(3). Let d be ((-2)/(-4))/(2/q). Let l(y) = y**2 + y. Calculate the least common multiple of l(d) and 10.
30
Calculate the common denominator of 73/21 and 78/(-12*28/36).
42
Let f(s) = s**2 + 4*s - 5. Let d = -2 + 2. Suppose -2*q + 0*q + 4 = d. Calculate the least common multiple of 3 and f(q).
21
Suppose 0 = -4*o + 8*o - 20. Let t be -5*((-2)/o - 2). Suppose -g = -t - 2. What is the smallest common multiple of 2 and g?
14
Let k = 3645 + -601423/165. Find the common denominator of k and 82/105.
1155
Let j = 4332 + -95193/22. Calculate the common denominator of j and 145/846.
9306
Let l be 2/(-4 + 2) - 7. Let b(c) = -2*c - 1. Let r(t) = t**2 + t + 6. What is the smallest common multiple of r(0) and b(l)?
30
Let u be 0*(4/(-2))/4. Suppose 2*r = 2*k - 24, k + u*r - 20 = 3*r. What is the lowest common multiple of 9 and k?
72
Let a be -2 + (-2 + (-537)/(-222))*6. Let x = a + -1303/592. Calculate the common denominator of -7/40 and x.
80
Let r(p) = -8*p**2 - 81*p - 4. Calculate the least common multiple of 65 and r(-10).
390
Let p = 575 + -553. What is the least common multiple of p and 132?
132
Suppose 0 = -2*p - 10, 4*w = 3*p + 17 + 10. What is the smallest common multiple of 147 and w?
147
Suppose -4*m + 300 = 2*f, -2*f = 4*m - 7*m - 314. Calculate the lowest common multiple of 176 and f.
1232
Suppose 0*c = 2*c - 28. Calculate the smallest common multiple of c + 1*-4 + 2 and (-30)/(-34) + 4/34 + 1.
12
Let l be (6052/88 + -2)*317/(-2). Let b = -10583 - l. Find the common denominator of b and 59/20.
220
What is the common denominator of -25/32 and 67/(11/((-33)/108))?
288
Let q = -51 + 53. Suppose -5 = -q*h - 3*l + 19, 2*h = 4*l - 4. Suppose 4*x + 4 = 4*j, 4*j + 5*x + 28 = 77. Calculate the least common multiple of h and j.
6
Suppose 2*o - 6*o - 2*f = -26, 0 = -2*o + 3*f + 9. What is the common denominator of (-217)/(-12) + 1/o and 68/9?
36
Suppose 0 = x + 4*w + 22, -4*w = -0*x + 4*x + 40. What is the lowest common multiple of ((-8)/(-12))/((-4