-3). Suppose 2*h + 3*h = 10. What is the lowest common multiple of 168/(-32)*(l/3)/1 and h?
14
Find the common denominator of 93/76 and (19/(-209))/(1/((-107)/(-4))).
836
Suppose 2*f + 0*f = 2*w - 32, 5*w - 64 = 4*f. Let d be 2 + (-1)/((-2)/12). Calculate the common denominator of ((-30)/f)/(108/d) and -41/11.
396
Let h(q) = q + 6. Let b be h(-7). What is the common denominator of (10/(-4))/(-4 - b) and 459/(-30)*1 + 4?
30
What is the common denominator of -5/28 and ((342/(-84))/(-19))/(54/(-21))?
84
Let h = 479/13 - 6229/156. Calculate the common denominator of h and -36.
12
Let d(m) = 12*m**2 - m + 1. Let r be d(1). Find the common denominator of 4/(-14)*45/18 and ((-66)/(-24))/(2/r).
14
Let l = -65987/20 - -3298. Let u = 13514/12099 + -108/109. Let z = -6829/2220 + u. What is the common denominator of l and z?
20
Let a be (-6 + 1)/((-3)/1209). Suppose 0 = -5*u - a - 1040. Let o = -4875/8 - u. Calculate the common denominator of 89/18 and o.
72
Let x(l) = 27*l - 264. What is the lowest common multiple of 250 and x(10)?
750
Let j = -1276 + 1294. Suppose o - 17 = -2*m, 3*m - o - 25 = -2*m. Calculate the least common multiple of j and m.
18
Let j = -57 + 59. Suppose 4*g - 22 = j*b - 0*b, 5*g + 4*b = 34. Suppose -5*a + 33 = 3. Calculate the smallest common multiple of a and g.
6
Let p(q) = -9*q + 6. Calculate the smallest common multiple of p(-10) and 33.
1056
Let q be 3 + (1389/(-9) - 0). Let d = 157 + q. What is the common denominator of d and (-1 + -2)*122/30?
15
Let l = 595717/36 + -16549. What is the common denominator of -83/40 and l?
360
Suppose -4 = -3*i + i. Let o = 31 - 23. Calculate the least common multiple of o and i.
8
Suppose 3 - 10 = -y. Suppose 5*a - 8 - y = 0. What is the common denominator of a/8*(-232)/(-20) and 29/6?
60
What is the common denominator of (-1042)/(-2475) - 594/1089 and -23/45?
225
Let n(m) = m**3 + 12*m**2 + 10*m - 9. Let k be n(-11). Suppose 9 = -k*u + 5*u. What is the common denominator of (u/(-24))/((-1)/(-49)) and 67/3?
24
Suppose n + 32 = -5*o, -4*o - n - n - 28 = 0. Let x(u) = 4*u**2 + 2*u. Let c be x(-2). Calculate the common denominator of -69/2 and ((-3)/o)/(c/392).
6
Suppose 8*h = 3*h + 30. Suppose 2*a = 5*m + 52, -4*m + 4*a = -28 + 72. Calculate the least common multiple of (72/45)/((-2)/m) and h.
24
Let j(c) = c**3 - 33*c**2 - 37*c + 111. Calculate the least common multiple of 258 and j(34).
774
Let s(u) = 109*u - 37. Calculate the lowest common multiple of s(1) and 27.
216
Let r = 827/30 - 202/5. Let l = -611 - -1245/2. Find the common denominator of l and r.
6
Let i = -10/29319 - 1533961/1172760. Find the common denominator of i and -49/36.
360
Let y(f) = -f**2 + 26*f - 74. What is the lowest common multiple of 326 and y(22)?
2282
Let b = 141 + -67. Suppose 3*t = -2*l + 56, 3*t + t - b = -3*l. Calculate the smallest common multiple of 8 and t.
40
Let k(p) be the first derivative of p**4/4 - p**3 - 3*p**2/2 - 2. Let i = 12 + -8. Calculate the lowest common multiple of k(4) and i.
4
Let n(g) = -g**2 + 11*g - 19. Let c be n(8). Suppose -3*r - c*s + 13 + 0 = 0, 0 = -5*r - s + 29. Calculate the smallest common multiple of 46 and r.
138
Let b = 3 + 1. Suppose -69 = -2*k - 3*k + a, b*a + 52 = 4*k. Suppose -2*x + 5*x = 54. What is the lowest common multiple of k and x?
126
Suppose -z - 19 = 5*o - 60, 0 = 3*o - 3*z - 21. What is the lowest common multiple of 20 and o?
40
Let y(z) = -z**2 + 5*z + 2. Let p be (-42)/(-8) - 13/52. Suppose 0 = -3*w + 4*b - 4, p*w - 2 - 30 = -3*b. What is the least common multiple of y(w) and 11?
66
Let y(c) = 26*c - 284. What is the smallest common multiple of y(12) and 128?
896
Let h be -10 + 3 - 3/(-1). Calculate the common denominator of 5/6 and (h + 1)*(-6)/9.
6
Calculate the lowest common multiple of (84/20 + -3)*5 and 88.
264
Let u = 346063/58 + -5968. Find the common denominator of u and 85/6.
174
Let v(i) = -2*i + i - 7*i - 8 + 3*i. Calculate the smallest common multiple of 6 and v(-4).
12
Let o(r) = -42*r + 4. Let c be o(2). Let h = -155 - c. What is the common denominator of -2/11 and 2 + (0 - h/(-12))?
44
Let j(m) = -4*m**2 - 22*m - 6. Calculate the smallest common multiple of 43 and j(-5).
172
Suppose 0 = -2*b + 148 - 16. Calculate the least common multiple of 77 and b.
462
Let n = -741 - -749. What is the lowest common multiple of n and 8?
8
Find the common denominator of -79/288 and -9 + 0 + (-956)/(-48).
288
Suppose 2*p = -4*x + 2*x + 4, 0 = 4*x - 3*p + 6. Suppose r + x*r - 42 = 0. Suppose -r = -3*i - 0. Calculate the least common multiple of 10 and i.
70
Calculate the common denominator of (-12)/(-24)*45/(-33) and 59/12.
132
Let r = 1642/7 + -15100/63. Let b = -110603/20 + 5526. Find the common denominator of r and b.
180
Suppose 391 - 415 = -4*t. What is the lowest common multiple of t and 198?
198
Let c = -164193/13570 - 2/6785. Find the common denominator of c and (-765)/(-54) - 3/(-1).
30
Calculate the smallest common multiple of ((-46)/(-10)*-1 + 5)*15 and 636.
636
Suppose 3*h = -3*r - 33, 4*r - 2*h + 2 + 12 = 0. Let n = r + 12. Calculate the smallest common multiple of -3*((-64)/(-6))/(-2) and n.
48
Suppose -2*t + 2*b = -2, 5*t - 3*t + b = 8. Suppose -12 = -t*k - k. What is the least common multiple of k and -16 - -15 - (-12)/(1 + 1)?
15
Let p = 3701/102 - 478/17. Let z = -463/10 - -46. Calculate the common denominator of z and p.
30
Suppose -4*d + 0*d + 12 = 0. Suppose d*j = j + 4. Suppose 263*u = 276*u - 104. What is the smallest common multiple of u and j?
8
Suppose -47*m - 88 = -49*m. Calculate the smallest common multiple of 3 and m.
132
Calculate the common denominator of (-48)/84 - 1262/(-735) - 1 and -6/35.
735
Suppose -3*h - 2 = 10. Find the common denominator of h/(-22) + 2064/(-220) and -53/7.
35
What is the common denominator of (1*4 - (-1404)/(-240))*1 and -37/50?
100
What is the common denominator of 15/17 and (-9)/36*1/(136/284)?
136
Let t(c) = 6 + 13*c**3 + c - 2*c + c**2 - 6. Let w be t(1). Let m(u) = -u + 20. What is the least common multiple of m(w) and 11?
77
Let w be (2/20)/(7/13048). Let q = w - 185. What is the common denominator of 4/15 and q?
15
Suppose 5*y - 30 = -0*y. Find the common denominator of -91/2 and y/10 + 461/(-10).
2
Find the common denominator of -5/1064 and (3/66)/((16/(-552))/2).
11704
Suppose -5*w + 1 = -r - 0, 0 = -2*w. Calculate the common denominator of (3*r + 1)*2268/288 and -85/6.
12
Suppose -13*o = -678 - 882. What is the lowest common multiple of o and 132?
1320
Let n(f) = -f**3 + 6*f**2. Let h be n(6). Suppose 2*t = -h*t + 46. Find the common denominator of -5/12 and (-6 - -5)/((-4)/t).
12
Let n = 26051/2202 - -1/367. What is the common denominator of n and -143/126?
126
Let h = 4039/6 + -667. Let s = -11200 + 44461/4. Let y = 88 + s. Calculate the common denominator of y and h.
12
Calculate the common denominator of (-8)/(-80)*(1 - 2)*9 and 143/90.
90
Suppose -3*o = -7*o - 8. Let j(r) = -r - 10. Let g be j(-6). What is the common denominator of -1*o/g*37 and -91/10?
10
Suppose 72 = 2*q - w, -q + 0*q + 4*w = -36. Suppose -6*z = 3*z - 72. Suppose -z*h = -7*h + q. Calculate the common denominator of -17/3 and h.
3
Let t = 106343/16 - 6641. Let g = 1847/1596 + 73/84. Find the common denominator of t and g.
304
Suppose -13*u - 30 = -8*u. Calculate the common denominator of -111/14 and (-158)/100 - (u + 6).
350
Let b = 45 - 67. Let g be (b/363)/((-4)/607473). Let s = 9206 - g. Find the common denominator of 151/18 and s.
198
Suppose 0 = q - 4*q - 9, 2*u = -3*q - 13. What is the lowest common multiple of 6 and (-28)/(u - 0) - (3 + -1)?
12
Let v(h) = 2713*h. Let o be v(-4). Let g be -1 - (0 + o/4). Let y = -24364/9 + g. What is the common denominator of 63/5 and y?
45
Let w be -6*2/(-6) - 26. Let v = 46 + w. Calculate the least common multiple of v and 8.
88
Let q = -2 - -6. Suppose 3*k + q*j = -4 + 128, 0 = -2*k + 4*j + 76. Calculate the common denominator of 119/12 and k.
12
Let x = -58 + 61. Suppose n + x*n - 39 = -w, 0 = -4*w + 5*n + 135. Let a = 6/391 + -35653/4692. Find the common denominator of w and a.
12
Let y = 4547/10 - 457. Let i be 21/(-4)*(-49)/(-110). Let p = -81/40 + i. Calculate the common denominator of y and p.
110
Let l(p) = -p**3 - 21*p**2 - 27*p - 21. Let v be l(-20). Suppose 0 = 2*y + 