
Suppose -3*i - 135 = -6*i. What is the common denominator of (i/162)/(60/693) and ((-2)/(-6))/(3/((-1092)/100))?
600
Let s = -3783 + 3819. Calculate the least common multiple of 225 and s.
900
Suppose 0 = -27*j + 127*j - 4200. What is the least common multiple of j and 714?
714
Let x(i) = 11*i - 3. Let v(k) = 3048*k - 79080. What is the lowest common multiple of x(6) and v(26)?
504
Let g = -7360 - -478432/65. Find the common denominator of 36/169 and g.
845
Suppose -5*f + 10 = 0, 3*f - 6 + 0 = -4*b. What is the common denominator of 194/(-84) - (b + 1) and -65/24?
168
Let j = -15058 + 1626161/108. Calculate the common denominator of j and 29/162.
324
Let d(c) = -7*c + 123. Let i = -26 + 42. Calculate the smallest common multiple of 7 and d(i).
77
Let t = -20093 + 20989. Calculate the smallest common multiple of t and 1568.
6272
Let k(b) = -2*b**3 + 10*b**2 + 13*b - 6. Let r be k(6). Suppose -5*y - 4*w + 380 = r, -3*w = -4*y - 5*w + 310. Calculate the least common multiple of 110 and y.
880
Suppose -2*x = 5*n - 14, 3*x + 1 - 7 = 0. Suppose 5*y + n*v + 12 = 0, 4 = -0*y + 4*y + 5*v. Let u = 26 + y. Calculate the lowest common multiple of 8 and u.
88
Suppose -2*s - n + 0*n - 55 = 0, -5*s = 4*n + 139. Let p = 5685 - 79551/14. What is the common denominator of ((18/8)/(s/18))/(-10) and p?
140
Suppose -3*l - 90 = 141. Let z = l - -82. Suppose 0 = -3*x - 2*x - 5*h - z, 0 = -4*x + 3*h + 31. What is the smallest common multiple of x and 56?
56
Let v = -275 + 425. Let b = -144 + v. Calculate the smallest common multiple of 4 and b.
12
Suppose 81*q = -4*q + 340. What is the smallest common multiple of 5 and q?
20
Let g be 0 - (6/8 - (-71850)/(-53880)). Let x = 8521/53880 + g. Calculate the common denominator of x and -47/12.
120
Let g(q) = 31*q + 132. Suppose -33 = -o - 37, -z + 4*o + 12 = 0. What is the lowest common multiple of g(z) and 296?
296
Let q(b) = 2*b**3 - 5*b**2 + 5*b + 6. Calculate the least common multiple of 90 and q(2).
180
Suppose -3*c - 4*y = -383, -3*y + 124 = -5*c + 743. Calculate the least common multiple of c and 15.
375
Let b be 1 + (-236)/6*1930/(-8). Let q = 18217 + -8702. Let k = q - b. What is the common denominator of -77/30 and k?
30
Let j be 5 - (8/(-3) + (-3280618)/(-9240)). Let x = 220463469/625555 - 2/89365. Let q = x + j. Find the common denominator of q and 119/30.
60
Suppose -c = -l - 15, l = -2*c - 0*l + 30. Let p be 9 - (0 + 1 - 4). What is the common denominator of 64/9 and (p/(-80))/(c/(-84))?
225
Let f = -2111497/82699870 + -6/68347. Find the common denominator of 53/22 and f.
1210
Suppose 3*s = 3*f - 303, 5*f - 519 = -0*s - 2*s. Suppose -3*u + 74 = -5*o, 4*o - 16 = -3*u + f. What is the smallest common multiple of u and 60?
660
Let n = 34 + -28. What is the common denominator of 63/10 and 9/(-4)*1/n?
40
Let w be 5034/12 + (-2)/(-4). Suppose -3*y - 2*x - 9 = 0, 0*y = y + 3*x + 3. What is the smallest common multiple of (y/(-4))/(-7*(-5)/w) and 34?
306
Let k be (-12)/(-15)*25/10. Suppose -k*f - 5*v - 178 = 0, 2*v - 101 = 4*f + 231. Calculate the common denominator of (-4)/(-3) - ((-553)/f - -1) and -73/46.
92
Let d(s) = 25*s**2 + s + 3. Let w be d(-2). Let k = w + -155. Find the common denominator of -35/8 and k/243 - (-643)/180.
40
Let q = -196 + -331. Calculate the common denominator of (7/12)/((-3)/34) and -5 + q/(-136)*(-4)/3.
18
Suppose -3*c = 2*q - q - 19, 0 = 5*c + 3*q - 29. Suppose 0 = -c*s + 150 + 193. Find the common denominator of s/(-4) + 4/8*-2 and -10/39.
156
Let y = 53052/77 - 4800/7. Find the common denominator of y and -38/429.
429
Suppose 3*z + 16 - 136 = 0. Suppose -39*v + 43*v = z. Calculate the smallest common multiple of (2 - -2)*15/10 and v.
30
Let a = 295/26 - 24236/2171. Calculate the common denominator of 37/2 and a.
334
Let d be -5 - -11 - -1 - -3. Find the common denominator of -37/16 and (-2)/d + 1707/360.
48
Calculate the least common multiple of 552 and (960/(-42) + 22)/(1/(-7)).
552
Let r(h) = 3*h - 56. Let n(p) = p**3 - 9*p**2 + 7*p + 2. What is the lowest common multiple of r(22) and n(9)?
130
Suppose -25 = 3*x + x - 3*t, 3*x + 2*t + 23 = 0. Let s be x/23*(-856)/144. Let i = 25/23 - s. What is the common denominator of i and 123/10?
90
Let u = -426 + 424. Suppose v = -v + 104. Calculate the least common multiple of v and u/((-168)/33 - -5).
572
Suppose -4*w + 10 = -6. What is the common denominator of w/(-30) + (-1716)/180 and (-1685)/150 - (-8)/20?
6
Suppose -90 = 96*w - 90*w. Let b(h) = -2*h - 27. Calculate the least common multiple of 6 and b(w).
6
Let b be 7386/(-9) - (-2)/(-6). Let x = -237515/369 - 7234/41. Let t = b - x. Find the common denominator of -47/27 and t.
27
Let o be ((-45)/(-285))/((-20)/432). Let t = o - -14711/2280. Find the common denominator of 5/222 and t.
888
Suppose 0 = 7*g - 12 - 2. Calculate the lowest common multiple of 56 and (-44)/(g/(2 + -3)).
616
Let w = 9726 - 9706. Calculate the smallest common multiple of w and 3884.
19420
Let g = 1714 + -2881. Let d = -3562/3 - g. What is the common denominator of -77/10 and d?
30
What is the common denominator of (-1138)/(-1620) + 15/(-9) + 1615/1275 and -62/1863?
3726
Let m = 2448659/891 - 30230/11. What is the common denominator of m and 39/11?
891
Let l(c) = -c**3 + 23*c**2 - 45*c + 82. What is the least common multiple of 38 and l(21)?
38
Suppose 0 = c + s - 200, s + 0*s = 2. Suppose z + b - 149 = -2*z, b = -4*z + c. Calculate the common denominator of z/(-56)*(-26)/(-3) and 79/6.
12
What is the least common multiple of 74 and (-10)/8 - 759/(-44)?
592
Find the common denominator of (-958)/72 - 360/(-24) and 151/1296.
1296
Let m = 12 + -19. What is the common denominator of 87/20 and (m + (-2388)/(-297))/(4/(-6))?
660
Let g = -479014/15 + 3093473657/96870. What is the common denominator of g and 95/4?
12916
Let z = -284307627/664 - -428174. Find the common denominator of z and 17/1245.
9960
Let y(m) = -2*m**2 - 17*m + 7. Let z be y(-8). Suppose -2*h - 18 = -i, 0 = -5*h + z. Calculate the lowest common multiple of 86 and i.
1032
Suppose 5*k - 3*t + 637 = -0*k, 4*k - 4*t = -508. Let l = -120 - k. What is the lowest common multiple of l and 16?
16
Let x = -1550 + 2360. Calculate the smallest common multiple of 11 and x.
8910
Let i = 727 - 723. Let r = 93 + -252. Let a = r + 245. What is the smallest common multiple of i and a?
172
What is the smallest common multiple of (-1)/(-3 + 1136/384) and 24?
24
Find the common denominator of -94/105 and (-135)/(-54)*582/10710.
3570
Let h be 6/4*-1*2*-1. Suppose h*f - f = 0. Suppose f = 5*c - 5*b, -5*c + 8*c = -3*b + 6. Calculate the lowest common multiple of 17 and c.
17
Find the common denominator of 58/21 and 182965/(-37926) - (1 + -6).
882
Let p = -564 - -8381/15. Calculate the common denominator of p and (2163/1386)/((-5)/((-15)/6)).
660
Suppose 49*p = 47*p + 76. Suppose -u + p = z + 20, -108 = -5*u + z. What is the lowest common multiple of 28 and u?
84
Let x = 17802 + -15444. Calculate the least common multiple of x and 60.
23580
Suppose j = -0*j + 411. Let c = 434 - j. Calculate the least common multiple of 4 and c.
92
Let s(k) = -9*k**2 + 9*k - 46. Let t(z) = -4*z**2 + 4*z - 23. Let w(c) = 6*s(c) - 13*t(c). What is the common denominator of 56/45 and w(4)?
45
Suppose 27*x - 88079 - 19049 - 59570 = 0. What is the least common multiple of x and 2646?
18522
Let m(d) = -7*d**3 + 8*d**2 + 12*d - 9. What is the lowest common multiple of m(-3) and 1632?
14688
Suppose 45006 = 67*j - 118340. Calculate the least common multiple of j and 46.
2438
Let n = -385/560435448 + -6959815879039/31713921131424. Let t = 509/1376 + n. Calculate the common denominator of t and 65/6.
1974
Suppose 6*s = 2*s. Suppose s*l + 5 = l. Suppose -24 = -g + 2*j, g = 2*g - l*j - 30. Calculate the smallest common multiple of 20 and g.
20
Suppose 0 = -3*b - b + 28. Let q(v) = 7*v - 45. Calculate the least common multiple of q(b) and 20.
20
Let c = 125 - 123. Calculate the common denominator of -61/60 and (-3619)/1175 - (-2 + (-2)/c).
300
Suppose -12*f + 117 - 9 = 0. Suppose 10*i - f - 11 = 0. Suppose 0 = -h + b - 3*b, 0 = 3*h + i*b - 8. What is the lowest common multiple of h and 14?
28
Let w = 8611/60 + -841/6. Find the common denominator of (-1)/1 + 89/55 and w.
220
Let d be -11 + 17 + 7*-2. Let