 least common multiple of 22 and y.
4532
Suppose -3*n + 3*r + 78 = -0*n, n - 20 = -r. Let q = -14 + 24. What is the lowest common multiple of q and n?
230
Suppose r = -4*w + 2162, 38*w - 40*w - 2*r = -1084. Calculate the smallest common multiple of 6 and w.
540
Let q = 40829966111107/10660 - 3830203203. Let u be (24/410)/(650/375). Let a = q + u. Find the common denominator of a and -1/14.
140
Let p(h) = -7*h + 79. Suppose 0 = -6*x + 2*x + 156. What is the lowest common multiple of p(7) and x?
390
Suppose 3*i + 15 = 0, 2*t - 236 = -5*i - 237. What is the least common multiple of t and 114?
228
Let q be 5/(((-220)/(-72))/5). Let m = q + 117/22. Find the common denominator of (-5)/(-10) - 23/3 and m.
6
Suppose -8 + 52 = 11*v. What is the lowest common multiple of v and ((-80)/(-25) + -4)*-95?
76
Suppose 0 = 5*q + a - 62, -5*a + 0*a + 46 = 3*q. Let t(p) = 16 + 0*p + 0*p - p. Calculate the least common multiple of 5 and t(q).
20
Let c = 136999/12130 - -7/1213. Suppose -45 = -3*k - 2*k. Find the common denominator of c and (k/6)/(30/85).
20
Let b = 99899 - 11987761/120. Find the common denominator of b and -71/50.
600
Let u = 34 + -37. What is the common denominator of ((-31)/12)/(u/8) and 11/7?
63
Let g(s) = -202*s**2 + 4*s + 3. Let i be g(-2). Let h = -8928/11 - i. What is the common denominator of 2 + (115/(-6) - 3) and h?
66
Let w = -5 + 9. Let k = 47 - 41. Calculate the least common multiple of k and w.
12
Let a = 176766365/429 - 412043. What is the common denominator of a and -71/15?
2145
Suppose -5 - 13 = -m. What is the least common multiple of 50 + (-12)/(-3) - (3 + 3) and m?
144
Let l(r) = -2*r + 24. Let f be l(10). Calculate the common denominator of (f/((-64)/(-292)))/3 and -137/12.
12
What is the least common multiple of ((1 - -1) + 4)*60/18 and (1 + -2)*1*-8?
40
Calculate the smallest common multiple of 45 and (-1 - 2)*(-84 - -73).
495
Let i = -24 + 10. Let d(r) = -7*r - 172. Let j be d(-24). Calculate the common denominator of -14*j/176*i and 89/10.
110
Let c = -2/19 - -238/95. Let u be -1 + -1 + 1 + -14. Find the common denominator of (u/2)/(54/40) and c.
45
Let j = -473229191/272310 - 34/45385. Let w = 1732 + j. What is the common denominator of -113/6 and w?
6
Let v(j) = 7*j**2 + 2*j + 1. Let s(p) = -p**2 - 6*p - 6. Let x be s(-5). Let h(t) = t**2 + 13*t + 50. What is the smallest common multiple of v(x) and h(-6)?
24
Suppose -30 + 38 = 8*z. Let q = 1 + 0. What is the lowest common multiple of z and q?
1
Suppose -3*p + 25 = 2*p, -4*l + 4*p + 4 = 0. Suppose 3*v = -v + 120. What is the least common multiple of l and v?
30
Calculate the common denominator of 89/348 and -2 + (-3666)/(-891) - 2/(-11).
3132
Let t = -1/3031 + -4639/866. Find the common denominator of -25/14 and t.
14
Let s(g) = g**2 + 2*g - 1. Let v be s(-3). Suppose 3*r - 2*r = -5*p - 1, v*r + 2*p = 14. Calculate the common denominator of (97/(-6))/(r/(-9)) and 43/7.
42
Let r(f) = -9*f**2 + 3*f + 2. Let q be r(2). Calculate the common denominator of 21/22 and (-2)/q*(25 - -16).
154
What is the common denominator of 63/20 and 173/12 + -5 + 4 - 2?
60
Let b be (-217137)/15*(-3)/(-6). Let f = 7245 + b. Let y = -28198/1923 + -2/641. Find the common denominator of y and f.
30
Let z(a) = -a**2 - 8*a - 6. Let y be z(-6). Calculate the common denominator of ((-27)/25)/(4/5) and (2/y)/((-20)/50).
60
Let c = 905 + -867. What is the lowest common multiple of c and 95?
190
Let w(q) = -2*q**2. Let b be w(1). Let l(z) = -38*z**3 - 2*z. Let i be l(b). What is the common denominator of -33/5 and -2 - (-1 - i/12)?
15
Suppose -3*h + 2*h = -11. Let y be 3/(6/4 - 0). Suppose -3 - 15 = -y*n. What is the least common multiple of n and h?
99
Let c(l) be the second derivative of -10*l**3/3 - 40*l. What is the smallest common multiple of c(-2) and 16?
80
Let d = 4 + 9. Suppose -4*o = 3*q - d, 0 = 5*q + o + 2*o - 18. What is the lowest common multiple of 8 and q?
24
What is the common denominator of 93/16 and 1*3 + 9238/(-1736)?
112
Let j = 5 + -3. Suppose 0 = j*w - 3*w + 1. What is the smallest common multiple of 630/98 + 8/14 and w?
7
What is the common denominator of -3 + 1 - 254/(-94) and (-6)/(-33) - 626/55?
235
Let u = -41 + 43. Calculate the smallest common multiple of 6 and u.
6
Suppose v - 6*v = -4*m - 242, 3*v = -2*m + 132. Suppose -5*t + 206 = v. What is the lowest common multiple of 32 and t?
32
Let k = 12022 + -216449/18. Suppose 4*z - 3*x = -8, -4*z + 4*x - 8 = 5*x. Calculate the common denominator of z + 1 - (-27)/(-2) and k.
18
Let x be (-8)/2*3*6/(-226332). Let m = x - 345797/37722. What is the common denominator of m and 10/9?
18
Let f be (-4)/(4 + (-17)/4). Suppose 2*p = -d + 4, 3*d - 3*p + 2*p + f = 0. What is the smallest common multiple of 11 and 7 + -9*d/12?
110
What is the common denominator of 5/323 and (6 + (-530)/85)/2*1?
323
Suppose -237 = -4*i - c + 178, -5*c - 213 = -2*i. Calculate the lowest common multiple of 96 and i.
1248
Let k(a) = a**3 - 7*a**2 - 9*a + 12. Let n be k(7). Let c = n - -59. Calculate the least common multiple of c and 11.
88
Let y(i) = 6 - 2*i**3 + 5*i**2 - 12*i**3 + 15*i**3. What is the smallest common multiple of 70 and y(-4)?
770
Let o(j) = -j + 8. Suppose -8*b + 9*b = 2. Suppose y = -b*y + 12. What is the smallest common multiple of o(y) and 4?
4
Let c(g) = -42*g + 10. Suppose 6*m - 5*m - 4 = 0. Let p be c(m). What is the lowest common multiple of p/(-18) + (-2)/(-9) and 31?
279
Suppose 0 = -r - 2*y - 2, -2*r - 5*y - 4 = r. Suppose -5*h + 8 = 23, -h - 47 = -4*p. What is the least common multiple of r and p?
22
Let h(u) = 2*u**2 - 61*u + 41. Calculate the lowest common multiple of h(31) and 88.
792
Let s = -43 - -12. Let k = 53 + s. Suppose -3*i - 5*a + 50 = 0, 0*a = 3*i + 2*a - 56. Calculate the least common multiple of k and i.
220
Let m = -188 - -216. Calculate the smallest common multiple of m and 10.
140
Let r = 15 - 30. Let c be 141/r + (-4)/(-10). What is the common denominator of 151/c*(-12)/8 and -59/6?
6
Let b = 1012 + -852. Calculate the lowest common multiple of 160 and b.
160
Suppose -3*v - 10*u + 69 = -5*u, 5*v + 4*u = 102. Calculate the least common multiple of 4 and v.
36
Let z(x) = x**2 - 17*x - 90. What is the smallest common multiple of 286 and z(-8)?
1430
Calculate the smallest common multiple of 22 and 0 + -9 + (-56 - -125).
660
Let d(s) = s + 11. Let r be d(0). Suppose t + r = 16. What is the lowest common multiple of t and 1?
5
Suppose 11*i = 4*i + 52598. Let z = 375677/50 - i. What is the common denominator of -39/5 and z?
50
Let x be (-72)/(-20) - ((-17)/5 + 4). Let t(h) = -8*h - 16. Calculate the common denominator of t(x) and 91/8.
8
Let r = -15 + 18. Let p be 12/(-30) - (-34)/10. Suppose -7*b + p*b + 12 = 0. What is the smallest common multiple of b and r?
3
Let w(s) be the first derivative of -s**4 - s**3/3 - 3*s**2/2 - 2*s + 7. Let z be w(-2). Calculate the common denominator of ((-616)/z)/(-1*5) and -35/4.
20
Let m = 183 - 153. What is the smallest common multiple of m and 9?
90
Let b = 93 + 285. What is the lowest common multiple of 14 and b?
378
Let z(n) = 1 + 7*n**2 - n**3 - 1 + 4 - 4*n. Calculate the smallest common multiple of z(6) and 22.
176
Let r = 3903 - 31145/8. What is the common denominator of r and (-20)/70 - (-353)/(-112)?
16
Suppose -2*c = -3*p + 96, 39 = 4*p - 4*c - 93. Let t = p - 12. Calculate the least common multiple of 18 and t.
18
Let f = -189891634186153/19180675177095 + -2/1179986169. Let r = f - -1/6502. What is the common denominator of r and -53/24?
120
Let r(x) = 195*x**2 + 10*x + 15. Let b be r(-10). Let o = b - 28990. Let l = o + 153263/16. Find the common denominator of l and -11/4.
16
Let l(z) = -11*z + 18. Let k be l(8). Calculate the common denominator of -27/2 and (-20)/k + 1062/(-140).
10
Suppose 4*n - 2*d = 362, -7*n + 2*n + 445 = -5*d. What is the smallest common multiple of n and 92?
92
Suppose n - 2*b - b - 10 = 0, -2*b + 19 = 3*n. Let t be (0 + 3/(-1))*-1. Suppose t*w - 14 = w. What is the smallest common multiple of n and w?
7
Find the common denominator of -101/30 and (-143)/7917 - 1/7.
870
What is the smallest common multiple of 69 and 0 - -312 - 5 - 8?
897
Let v(x) = x - 1. Let t(a) = -a - 2. Let h(s) = -t(s) + 2*v(s). Let c be h(4). What is the lowest common multi