144 + 215. Suppose -4*r = -5*m + c, -5*m - 4*r + 38 = -1. Let u = -15 - -22. Calculate the lowest common multiple of u and m.
77
Suppose 75 = 3*z - d, 57 + 43 = 4*z + d. Calculate the lowest common multiple of 7 - 1 - ((2 - 5) + 5) and z.
100
Let a(w) = 176*w - 1045. Suppose -y + 3*y - 18 = 0. What is the smallest common multiple of y and a(6)?
99
Suppose 2*t + 23 = 215. What is the smallest common multiple of 4 and t?
96
Suppose -i = 4*a - 10, 5*a - 1 = 3*i + 3. What is the least common multiple of a/(-7) + 100/7 and 8?
56
Let p(r) = -10 - 3*r**3 + 4*r**3 - 7*r**2 + 7*r - 2*r**3. Let u be p(-8). Calculate the smallest common multiple of 14 and u/4*(-24 - 0).
84
Let q = 253 + -1212/5. Find the common denominator of (4*(-3)/(-9))/(50/390) and q.
5
Suppose 0 = 3*h + s + 340, -3*h + s - 208 = 130. Let r = -73 - h. Calculate the smallest common multiple of r and 10.
40
Let p = 2562 + -2398. Calculate the least common multiple of 10 and p.
820
Let x be 18820/4715 - (-4)/(-1). Let q = x + 100981/9430. Calculate the common denominator of 74/12 - (3 - 6) and q.
30
Suppose -4 + 18 = 4*x + c, -7 = -x - 2*c. Suppose 2*l - 3*l + 40 = 3*v, 0 = x*l - 12. Calculate the common denominator of 45/8 and ((-45)/v - -4)/1.
8
Let t = 270 + 2358. Let d = -15665/6 + t. Calculate the common denominator of d and -41/27.
54
Let q = 111537821333/1485 - 75109647. Let h = q + 68/165. Find the common denominator of h and -7/9.
27
Let z(x) = x**2 - 5*x - 3. Let l be z(6). Suppose y = l + 1. Let r = -1 + y. Calculate the lowest common multiple of r and 9.
9
Let c = 2 - 24. Find the common denominator of -11/2 and (-217)/c + (2 - 7).
22
Let z be (-4530)/(-4) + 6 - 4/(-6). Let x = -1142 + z. Calculate the common denominator of (-344)/(-15) - (-4)/10 and x.
6
Suppose 3*o + 5*d = 115, 5*o = 6*o + 4*d - 36. What is the lowest common multiple of 52 and o?
520
Let d = 34/39 + 56/65. What is the common denominator of 24/85 and d?
255
Suppose -2*s - 3*s - 54 = -2*d, d - 12 = -5*s. Let g(u) = 8*u + 186. What is the least common multiple of g(-22) and d?
110
Calculate the least common multiple of 9 and (-2)/5 + 462/30.
45
Calculate the common denominator of (98/(-63))/(60/(-22) - -2) and 27/20.
180
Let i be 1/2 - 903/1810. Let m = i + -1992/905. Let j = 54/613 + -20337/1226. Calculate the common denominator of m and j.
10
Suppose 10*v - 36 = -2*b + 54, 10 = 2*v + 2*b. Let n = -18 - -13. Let s = n + v. Calculate the lowest common multiple of s and 3.
15
Let b be (-5)/(5/(-2)) + (-15)/3. Suppose 0 = 4*c - 5*c + 218. Calculate the common denominator of 87/2 and -3 - b/(36/c).
6
Let w = -70747 + 6367061/90. Find the common denominator of 91/90 and w.
90
What is the common denominator of 4/6 - (-26 - 6403/(-228)) and (-4)/(-3)*(-83)/(-16)?
12
Let s be 3/4 - (-5 - 4046/(-704)). Let v = s + -4581/1760. What is the common denominator of v and -97/10?
10
Suppose -4*b - 2*x = -16, -2*x - 2*x = -4*b - 8. Let y be 0 + b - (-1 - 2). Suppose -l - 56 = -y*l. What is the least common multiple of 16 and l?
112
Let w(p) = -5*p**2 + 51*p + 69. Let v(u) = u**2 - 13*u - 17. Let l(h) = 9*v(h) + 2*w(h). Calculate the lowest common multiple of l(-13) and 10.
110
Suppose -15 = 3*f, 0 = -9*j + 4*j - 3*f + 840. What is the least common multiple of 57 and j?
171
Suppose -4*t = -t - 48. Suppose -5 + 85 = -2*s. Let r = -36 - s. Calculate the smallest common multiple of t and r.
16
Let v(y) = -3*y**3 + y**2 + 2*y + 1. Let p be v(2). Suppose 5*g - 2*d + 149 = 0, -29 + 128 = -3*g - 2*d. Find the common denominator of 293/p - 2/15 and g.
3
Suppose 6 = -g - 5*s + 18, 0 = 3*g + 5*s - 16. Suppose 2*y + y = 5*v - 22, 5*v - g*y - 23 = 0. What is the smallest common multiple of v and 20?
20
Suppose -2*m - 6 = -6*m + 5*c, 0 = 5*c + 10. Calculate the lowest common multiple of 22 and -7 + 27 + (m - -1) - 2.
198
Let w = -37841039/276 - -137105. Calculate the common denominator of -81/2 and w.
276
Let h be (1 + -6)/(2/(-4)). Let w = h + -11. Calculate the common denominator of -5/7 and (115/9)/(-5) - w.
63
Suppose -213 = -4*a + 5*z, 27 = 3*a - 2*z - 131. Calculate the smallest common multiple of a and 10.
260
Let u be 3/(-5) - 99/(-15). Let w be (u/(-1))/(12/606). Calculate the common denominator of w/18 + 3/(-9) and -13/2.
6
Let j = 128 + -74. Let m = -843 - -11807/14. What is the common denominator of (861/j)/(-7) + 2 and m?
126
Let p = -36958 - -1478223/40. Find the common denominator of -111/100 and p.
200
What is the smallest common multiple of (-1)/(-2) - 18/(-4) and 1/(((-30)/(-14) + -2)/((-768)/(-672)))?
40
Let o = -212 + 387. Let t = 15222/11 + -1386. Find the common denominator of -2 + (-32)/(-12) - o/33 and t.
11
Suppose 0 = -3*y - 2*y + 215. Let p = y + -38. What is the smallest common multiple of p and 14?
70
Let h = -13 - -2. Let c = -23 - h. Find the common denominator of 28/5 and c.
5
Suppose 28 = 11*l - 269. What is the lowest common multiple of 18 and l?
54
Let v = -110 - -61. Let o(k) = -k**2 - 5*k + 34. Find the common denominator of o(-6) and v.
1
Let x = 7875/8 - 987. Suppose 2*k - 3*f = 1 + 6, k + 5*f = -3. Calculate the common denominator of ((-15)/k)/(-5) + 532/(-136) and x.
136
Let w = -13049/644 - -2/161. Let v = -701/40 + 52/5. Find the common denominator of v and w.
8
Calculate the common denominator of 76/63 and -1 - -8 - 9205/1890.
378
Let d = -1588486 - -193796557/122. Let t = -8/61 - d. Calculate the common denominator of 12 and t.
2
Suppose 5*s - 2*p = 2*p - 19275, -4*s - p - 15441 = 0. Let h = s + 38541/10. Calculate the common denominator of -1/16 and h.
80
Suppose x + 12 = 4*h - 2, 0 = 3*x + 3*h - 18. Let v = 33 + -22. Let p = v + -10. What is the smallest common multiple of p and x?
2
Suppose -5*y + 36 = 4*i, 0*i - 4 = 4*i. Let g(x) = x**2 - 8*x - 7. Let v be g(9). Calculate the lowest common multiple of y and -1*v/4*-6.
24
Suppose -3*m + 20 = 2*m. Let n = -5 - -13. Calculate the least common multiple of (24/9)/(n/36) and m.
12
Let l = 708 + -518. What is the lowest common multiple of 50 and l?
950
Calculate the common denominator of 6 - ((-155)/10 + 2) and 7/6.
6
Let a = 1942/15 - 365/3. What is the common denominator of a and -51/7?
35
Suppose 8*k - 667 = 157. Calculate the lowest common multiple of 4 and k.
412
Let a = -21/82 + 4167/902. What is the common denominator of 9/(-5)*-1*3 and a?
55
Suppose 0 = 5*i + 2*s - 8, 0 + 5 = 5*i + 5*s. Suppose -i = -4*g + 6. Calculate the smallest common multiple of 6 and g.
6
Suppose 5*k = 2*g + 1186, g = 3*g + 6. Let o be k*10 - 10/(-5). Let z = o + -14135/6. What is the common denominator of -63/5 and z?
30
Let j = -1 + 1. Suppose 9*w - 7*w - 114 = j. Suppose 75 + w = 6*r. What is the smallest common multiple of r and 8?
88
Let v be ((-6)/4)/(27/(-180)). Suppose 7*y = v*y - 18. What is the least common multiple of 10 and y?
30
Suppose 5*s - 2*r = 550, 7*r - 4*r = 0. What is the least common multiple of 99 and s?
990
Suppose 2*v + 2*v = 0. Suppose v = 5*y - y + x - 19, -4*x - 26 = -y. Let b = 26 + -6. Calculate the least common multiple of b and y.
60
Let p = -2/459 + -16867/26622. What is the common denominator of p and 71/36?
1044
Suppose 5 = -2*a - 3*t + 13, -5*a - 5*t = -10. Calculate the common denominator of -23/3 and ((-371)/(-21))/(a + 10).
24
Let p = -50 + 53. What is the common denominator of 91/10 and (220/p - -2)*54/(-360)?
10
Let n = 31/16 + 11/48. Let w = -100643/17946 - 3/997. Calculate the common denominator of n and w.
18
Suppose 0*i - 1335 = -3*z + 3*i, 5*i - 855 = -2*z. What is the smallest common multiple of z and 16?
880
Let k = 200401/14 - 14308. Calculate the common denominator of k and -59/9.
126
Suppose 3*u - 2*t - 9 = 0, 3*u = 6*u - 5*t. Let p(o) = o**3 + 7*o**2 + 4*o - 13. Let c be p(-6). What is the lowest common multiple of u and c*8/12*-9?
30
Let g = -7682/5 - -1530. Let t be 8635/221 - 6/4. Let s = t - 16/221. What is the common denominator of g and s?
10
Let j(w) = -w + 2. Suppose 0 = -2*y - z - 15, 15 = -4*y + y + z. What is the lowest common multiple of (-70)/(-8) - (-1)/4 and j(y)?
72
Suppose -25*d + 327 + 623 = 0. Calculate the smallest common multiple of 9 and d.
342
Suppose 3*o = -5*a + 303, 3*a + 225*o - 193 = 226*o. Calculate the smallest common multiple of a and 11.
693
Suppose -8*c + 6*c + 82 = 0. Suppose -