4*m + 38 = -10. Suppose -26*k + 30*k - 304 = 0. Suppose 0 = -5*d + 2*p + k, -3*d - 2*p = 3*p - 58. What is the lowest common multiple of m and d?
48
Suppose 0*z + 16*z = 176. Let q = -3 + 5. Calculate the smallest common multiple of z and q.
22
Suppose 281 = 3*q - 286. Suppose -c = -0*c + q. Calculate the common denominator of 6/(-27) - (-1200)/c and -16/3.
21
Let l(y) = y**3 + 11*y**2 + 8*y - 18. Let u be l(-10). Suppose -12 - u = -2*n. What is the least common multiple of 31 and n?
217
Suppose b - 10 - 1 = 0. Suppose 0 = -h + x + 10, -4*x - 5 = -2*h + 23. What is the smallest common multiple of b and h?
66
Suppose 4*d + 2*p = 14, 6 = 3*d - 0*p + 3*p. Let v(o) = -5 - 2*o + d + o**2 - 4. What is the smallest common multiple of 6 and v(4)?
12
Suppose 2*d = 3*d - 18. What is the lowest common multiple of (2 - (-32)/(-10))/(3/(-15)) and d?
18
Let y = -21691/24 - -904. Find the common denominator of -5/6 and y.
24
Suppose -4*c - 13 = -49. Let i be (306/100)/c + 1. Let n = i - -1447/450. Find the common denominator of n and -70/3.
9
Let n be 3*4/((-4)/(-1)). Suppose -174 = -n*b + 4*r, 4*r = 5*r + 3. Suppose 2*u + 6 = b. What is the lowest common multiple of 22 and u?
264
Let p(w) = 2*w**2 - 101*w + 169. Calculate the least common multiple of 94 and p(49).
1034
Let g = -43 - -43. Suppose 0*f + 2*f + 4*n - 8 = 0, n + 1 = g. Calculate the smallest common multiple of f and 3.
6
Let k(a) = 35*a**2 - 3*a - 4. Let m be k(-2). Find the common denominator of 51/2 and (-2 - -6) + m/(-32).
16
Let v be (-153515)/40 + 2/(-16). Let l = v + 138191/36. What is the common denominator of l and -91/30?
180
Suppose -2*t + 38 = 2*v, 0 = 5*t + 26*v - 25*v - 107. Calculate the lowest common multiple of 234 and t.
2574
Let m(a) = 0*a**2 + a**2 - 3*a - a + 4. Let y be m(4). Suppose -28 = -4*x + 2*r, 7*r = -x + 2*r - y. Calculate the lowest common multiple of x and 8.
24
Calculate the least common multiple of 44 and 8/(-40) - 21/(-5).
44
Let n be (-195)/1 + (-3 - 0). Let u = n - -634. Find the common denominator of 65/8 and ((-2)/(-8))/((-24)/u).
24
Suppose -2*y + 0*y = 4, 2*h - 38 = -3*y. What is the smallest common multiple of 85 + 1 + (7 - (-15)/(-5)) and h?
990
Let v be 1 + -2 - (-6)/3. Let i be v/2 + 39/6. Let d = i + -3. What is the lowest common multiple of d and 5?
20
Let k = 8 + -4. Suppose 2*u = -f - 12, -97 = 3*f - k*u - 21. Calculate the lowest common multiple of (0 + f)*(-8 + 7) and 2.
20
Let r(i) = 2*i + 35. Suppose -2*y + 38 = 4*g, -y + 16 = -2*y + 5*g. What is the lowest common multiple of y and r(-13)?
9
Suppose -22*r + 8 = -20*r. Calculate the lowest common multiple of 90 and 14 + (-4)/8*r.
180
Let q be 4/2 - (-1143)/45. Let o = q + -799/35. Calculate the common denominator of o and -38/9.
63
Let q(n) = 4*n + 55. Let s(z) = z + 14. Let a(i) = -2*q(i) + 9*s(i). Let m be a(-8). Calculate the common denominator of (-194)/m - (-2 - 0) and 5/9.
36
What is the least common multiple of 10 and 42/(4/20*(-3)/(-9))?
630
Let z = -84 - -94. Calculate the least common multiple of 60 and z.
60
Suppose -2*l = -3*l - 48. What is the smallest common multiple of 40 and (16/6)/((-8)/l)?
80
Let o be 1 + -2 - 68450/12. Let j = -5681 - o. Let u = 3076/3 - 1040. Calculate the common denominator of u and j.
6
Suppose 61*z = 57*z - 8. Find the common denominator of -31 and 51/z*(-7)/84.
8
Let q be (-1)/2 - (-2089)/12. Let p = q - 1181/6. Calculate the common denominator of p and -71/62.
124
Let x = 2894 + -26020/9. Find the common denominator of (558/162 - (3 - 0))*(-6)/(-28) and x.
63
Let r(m) = m + 1. Let i(o) = -12*o - 12. Let z(h) = -2*i(h) - 27*r(h). Calculate the least common multiple of z(-2) and 8.
24
Let v(s) = -s**3 + 9*s**2 - 11*s + 26. What is the smallest common multiple of v(8) and 3?
6
Let l = -117359 + 461005/4. Let u = 2087 + l. Find the common denominator of u and -11/2.
4
Let f = 162 - 157. Calculate the smallest common multiple of 135 and f.
135
Let l(h) = h**2 + 5*h - 1. Let k be l(-6). Let r = k + 0. Let g = 25 + -21. What is the smallest common multiple of g and r?
20
Let w = 12214 - 293179/24. What is the common denominator of -8/5 and w?
120
Suppose 7*r - 3*r - 3*p = 111, r + p - 26 = 0. What is the least common multiple of r and 12?
108
Let k(d) = 17*d**2 + 1. Suppose 0 = -2*i - 7 - 29. Let p be (-6)/4*(-12)/i. Calculate the lowest common multiple of k(p) and 18.
18
Calculate the common denominator of 1/(-2)*(-29)/(-261) and -49/76.
684
Let i(f) = -f - 4. Suppose -5*k = -4*d + 60, 48 = -4*k + d + 4*d. Let g = k + 8. Calculate the common denominator of -27/4 and i(g).
4
Let v = 6319/5160 - 5/43. What is the common denominator of v and -49/160?
480
Let i(z) = -z**3 + 6*z**2 + 8*z + 8. Let h be i(8). Let q = h - -60. Calculate the least common multiple of 16 and q.
16
Let v(r) = -6*r**2 + 58*r - 6. Calculate the smallest common multiple of v(9) and 40.
120
Let h = 272 + -277. Let i(g) = -2 + g + 0*g + 10. What is the lowest common multiple of i(h) and 9?
9
Let q(s) = -s**2 + 11*s - 8. Let k be 5 + -4 + 2 + 2. Suppose 5*m - k*p - 80 = 0, -3*m = -6*m - 5*p + 48. What is the smallest common multiple of q(8) and m?
16
Suppose 0 = 4*g + 4*d + 2 - 42, -2*g + 2*d = -32. Suppose -b + 4*b = 30. Let l = 18 - b. What is the smallest common multiple of g and l?
104
Let o = 1574 + -3213/2. What is the common denominator of o and (-63)/6*(-13)/30?
20
Let n(l) = -16*l + 447. Calculate the smallest common multiple of n(10) and 287.
287
What is the common denominator of -29/143 and 6/(-11) + (-6615)/(-11583)?
429
Let j be (10/3)/((-6)/(-9)). Suppose 5*u - 4*u + 2 = -2*l, 32 = j*u - 4*l. Let m(p) = 2*p**2 - 6*p + 8. What is the lowest common multiple of m(u) and 4?
16
Suppose -5*i + 554 - 4214 = 0. Let j = 101347 + -1020853/10. Let m = i - j. Find the common denominator of m and 111/14.
70
Let l = 421/44 - 45/4. Calculate the common denominator of l and 5/(-2) + (-10)/(-10).
22
Let z = -110679/13468 + 7/1924. Find the common denominator of z and -37/300.
2100
Suppose v + 0*v = 5. Suppose 0 = 5*r + v, 2*o - 3*r - 3 - 4 = 0. Calculate the smallest common multiple of 6 and o.
6
Let x be 1/6*268/(-7). Let s = x + 26/7. Calculate the common denominator of (1/(-3))/(24/(-585)) and s.
24
Suppose 103*m - 104*m = -70. What is the lowest common multiple of 21 and m?
210
Suppose 0 = -55*x + 60*x - 75. What is the common denominator of 77/12 and (-38)/14 - (x/(-20) + 1)?
84
Let k(d) = 2*d**3 + 38*d**2 - 3*d - 46. Calculate the smallest common multiple of k(-19) and 67.
737
Let f be (3 - 75945 - 0) + 1. Let j = f - -277108707/3649. Let k = j - -156925/32841. Find the common denominator of k and 34/5.
45
Calculate the lowest common multiple of ((-10)/(-10)*-20)/(2 - 3) and 105.
420
Suppose 4*b + 5*o = -28, -2*o - 13 + 3 = b. Let w = -2/645 + 34193/2580. What is the common denominator of w and 79/8 + b/(-8)?
8
Suppose -79 = -2*x - 15. Suppose 2*o + x = -2*o. Let i = o - -22. Calculate the smallest common multiple of 10 and i.
70
Let k be 43/(5/((-5115)/(-36))). Let f(y) = 33*y**2 + 6*y - 1. Let i be f(6). Let b = k - i. What is the common denominator of -109/6 and b?
12
Let l be ((-62)/(-19))/(5/5). Let y = -625/209 + l. Let h = -6803/8 + 847. Calculate the common denominator of h and y.
88
Suppose -5*y + 0*y + 25 = 0. Suppose -y*d + 30 = 4*x - 14, -d + 12 = 4*x. What is the smallest common multiple of (-1 - 2)/((-15)/70) and d?
56
What is the common denominator of 107/6 and (3/(-2202))/(55/1870)?
2202
Let a = -24 + 25. What is the least common multiple of 4 and 2/8 - a/(4/(-415))?
104
Let f = 1583057/270 - 29328/5. Calculate the common denominator of f and -89/162.
162
Let g = 4403 - 79229/18. Find the common denominator of 13/27*504/(-1344) and g.
72
Suppose 292 = -s + 3*s. Suppose -r = -3*t + s, 0*r = -2*r - 3*t - 301. What is the common denominator of 71/10 and r/18 - (-7 - -3)?
90
Let k = -2148 - -2421. What is the least common multiple of k and 312?
2184
Let o(t) = 6*t - 12. Suppose -4*f - 3 = -11. What is the least common multiple of o(4) and f?
12
Suppose 5*p - 2*x - 40 = -7*x, -12 = -p - 2*x. What is the smallest common multiple of 4 and p?
4
Let j be 170/3*(-36)/15. Let v = 309/2 + j. What is the common denominator of v and 145/12?
12
Let m = -27910 + 5526221/198. Find the co