e of c and 22 - (200/(-320))/(2/(-32))?
12
Suppose -4*z + 4*a + 1 = -7, -2*z = -a - 8. What is the smallest common multiple of -12 + 39 - 9 - -12 and z?
30
Suppose -41773 = -6*o + 332675. Calculate the common denominator of -1 + (-2)/(12/113) and 6/10 + (o/(-80))/(-29).
6
Let b(d) = d**2 - 9*d + 16. Let c be b(8). Let t be (-1 - -1)/(c + -7). Suppose 2*v - 2 - 6 = t. What is the smallest common multiple of 16 and v?
16
What is the smallest common multiple of -10 + (-15531)/(-9) + (3 - 56/21) and 81?
46332
Suppose -40 = -d - 35, 0 = -3*a - 2*d + 109. What is the least common multiple of 13 and a?
429
Let d be ((-227)/3)/((77/21)/(-11)). Let t = 307 - d. Calculate the smallest common multiple of 72 and t.
720
Suppose -44*i = -42*i - 36. What is the least common multiple of ((-16)/(-20))/(0 - (-3)/90) and i?
72
Let w(r) = r**3 - r**2 + 1. Let f(b) = -6*b**3 - 11. Let i(z) = -f(z) - 5*w(z). Calculate the least common multiple of (-6)/10 - 744/(-40) and i(-5).
18
Suppose 0 = -8*u + 155 - 91. Let t be (-10)/(-4) - 7/14. Suppose 0 = t*o + 1 - 5. What is the lowest common multiple of u and o?
8
Suppose 103*m + 14 = -c + 108*m, -2*c + 3*m = 0. What is the lowest common multiple of c and 0 + 1 - -1 - -23?
150
Calculate the least common multiple of 81 and (96/(-10) - 6/15)/(614/(-8289)).
405
Let n be (-159)/7 + 5 + 4/(-14). Let b = 53 + -33. Let g = b + n. What is the lowest common multiple of 4 and g?
4
Suppose 0 + 8 = 2*j. Let h(f) = f**3 - 7*f**2 - 2*f - 4. Let o be h(j). Let w = -349/6 - o. Find the common denominator of w and -23/18.
18
Let p(g) be the second derivative of -g**3 + 160*g**2 - 2*g + 72. What is the smallest common multiple of 5 and p(40)?
80
Let c = 358590 + -397317693/1108. Find the common denominator of c and 53/56.
15512
Let y(z) = z**3 + z**2 + 8. Suppose 0 = -6*l - 5 + 29. Suppose 0 = 3*r - r - 5*q, -l*r + 5*q = 0. Calculate the least common multiple of y(r) and 8.
8
Suppose -30 = -3*v - 2*a, 4*v - 3 = 5*v + 5*a. Suppose 7 = 5*z - 2*j, -v*z - 4*j + 1 = -7*z. Calculate the smallest common multiple of 64 and z.
64
Let f = -388 + 381. What is the common denominator of -33*f/504 - (-3)/9 and 19/24?
24
Let b(c) = -11*c**3 + 2*c**2 + 7*c - 6. Let x be b(-6). Let w be (6/x*3)/(8/(-9930)). Let o = w + -57/64. Find the common denominator of 33/5 and o.
5
Let l be (-1 - 28/(-16))/((-2)/128). Let v = 19 - l. Suppose 6*w - v = -1. What is the least common multiple of 8 and w?
88
Calculate the least common multiple of ((-20)/(-4) - 13) + 31 - -1 and 1500.
3000
Let a = -12 + 20. Let n be 550/4*90/a. Let x = n + -1552. What is the common denominator of x and -55/8?
8
Suppose -3*a - 5*r = 2*a - 155, -5*a - 4*r + 160 = 0. Suppose -4*c - 14 = 2425*u - 2430*u, -u - 14 = -5*c. What is the smallest common multiple of u and a?
36
Suppose 0 = -2*s + 10 + 344. Let k = -60 + 61. Calculate the common denominator of ((k + -5)/(-108))/((-2)/s) and 23/22.
198
Let l = -4169/3120 + -49/80. Calculate the common denominator of l and 14/2031.
26403
Let a be (-64)/(-10) - 1/(10/(-6)). Suppose 2*o = -10*o + 168. Calculate the least common multiple of o and ((273/2)/a)/(3/4).
182
Let j be (-7 - 30/(-27))*(-2445)/4. Let w = 3610 - j. Find the common denominator of w and 73/120.
120
Let r be (-9)/(-15) - (-3179617)/(-770). Let p = 4124 + r. What is the common denominator of 33/16 and p?
176
Let k(b) = -2*b + 18. Let q be k(8). Find the common denominator of (-129*10/(-405))/(q/(-3)) and -23/8.
72
Let r(w) = -w**3 + 38*w**2 - 11*w + 477. Calculate the smallest common multiple of 88 and r(38).
5192
Suppose -249 = -4*z - 3*d, -106*d + 101*d - 25 = 0. Calculate the least common multiple of z and 87.
1914
Calculate the smallest common multiple of 16 and 299 + 2 + (8/(-12))/(18/(-81)).
304
Suppose 0 = -4*i + 5*f - 25, 0 = -4*i + f - 5 - 0. Suppose i = -7*y - 19*y + 1040. Calculate the smallest common multiple of 20 and y.
40
Suppose -i - 12*r + 13*r = -29, 4*r = 20. Suppose -5*f + 36 = b, -3*b + 4*f = -93 - i. Calculate the common denominator of b and 71/28.
28
Let p be (388/426)/(-2) + 776/1746. Let w = 340/71 + p. Find the common denominator of w and -35/48.
144
Calculate the lowest common multiple of 34124 and ((-210)/315)/((15/18)/(-5)).
34124
Suppose -70 = 2046*z - 2032*z. Let p(i) = i**2 + i + 3. Calculate the smallest common multiple of (7 + z/((-20)/(-708)))/(-2) and p(-3).
765
Let t(w) = -w - 32. Let l be t(-36). Let r = -4106 + 41007/10. Calculate the common denominator of r and l/(-6) + (-28)/48.
20
Let u = -17/104 - 3087/520. Calculate the common denominator of u and 39/1565.
3130
Let m = 10 + -6. Suppose -3*t = 4*o + 7, -7*o + 8 = -3*o. Let q(b) = 4*b**2 + b + 4. Calculate the smallest common multiple of m and q(t).
396
Let q(u) = 142*u**2 - 1465*u - 28. Calculate the least common multiple of 2485 and q(12).
19880
Let k = -176 - -176. Suppose x + 4*r + 2 = 7*r, -2*x - 3*r + 32 = k. Suppose 0 = 3*o - 2 - 58. Calculate the smallest common multiple of x and o.
20
Let w(t) = 17*t**2 + 66*t - 83. What is the least common multiple of 1240 and w(-5)?
3720
Let q = 4589 + -4405. What is the least common multiple of q and 12?
552
What is the common denominator of -6 + 2 + (-708)/(-153) - 354/2655 and (-4)/14 + 773/84?
1020
Let l = -9 - -12. Let b(t) = l*t + 0*t + 4*t + 2*t**2. What is the lowest common multiple of 15 and b(-5)?
15
Let j = 1480/7 - 147979/700. What is the common denominator of -1 + (-1561)/(-350) + -5 and j?
100
Let a be (9 - 9) + (1 - -2). Suppose -a*c + 116 = -100. Calculate the common denominator of 41/6 and (-101)/(-3)*(-54)/c.
12
Let d = 2/8537 + 145069/256110. Let x = -313/270 + d. Calculate the common denominator of x and 29/33.
297
Suppose -5*v - 35 = 4*n, -2*n + n - 28 = 4*v. Let r be 5339/1218 - (-4)/98*v. Let u = -27/29 + r. Calculate the common denominator of 11/6 and u.
6
Calculate the lowest common multiple of ((-60)/(-16))/(-13 + 3645/280) and 189.
1890
Suppose 36400 = 1432*v - 1397*v. Calculate the smallest common multiple of 3510 and v.
28080
Let l(f) = -f + 9. Let p be 8 - (5 + -2 - -2). Calculate the smallest common multiple of 40 and l(p).
120
Let w = -256531862/4103 - -62523. Calculate the common denominator of w and 58/5595.
61545
Let m = -179/3 - -5869/96. Let z = 8/9851 - 1133057/236424. What is the common denominator of m and z?
96
Let o = 37321/10 - 3726. Let f = -105 - -106. Find the common denominator of o and (51/(-36))/((2/(-20))/f).
30
Suppose -9*z + 4*z + 20 = 0, -2*g - 2*z + 28 = 0. What is the common denominator of -76/99 and 104/(-264)*(-75)/g?
198
Let j = -2554513/60 - -42578. Let g = 862/153 - 211/17. Find the common denominator of j and g.
180
Let v = -2/73793 + 1623496/1844825. Calculate the common denominator of (-4)/(-12)*(-582)/(-40) and v.
100
Suppose 0 = 5*c - 5*s - 8550, -3*c = 4*s + 145 - 5289. Suppose c*q - 18 = 1706*q. Calculate the least common multiple of q and 69.
69
What is the common denominator of 53/561 and 5/(-84)*(-27797)/418 + 2*1?
4488
Let o = 3938297/105 - 37507. What is the common denominator of 101/105 and o?
105
Suppose -184 = -4*u + 4*l, 2*l - 17 = u - 67. What is the common denominator of (-12)/u + 776/(-420) and 19/10?
30
Let f = 47 + -43. Let a(j) = -167*j**2. Let k be a(f). What is the lowest common multiple of (-3)/(-5) + (k/20)/(-4) and 2?
34
Let q be 4*((-18)/4 - -2). Suppose 25 = 3*u + 37. What is the common denominator of 73/20 and (-28)/q*-5*u/72?
180
Let k(b) = b**2 + 37*b + 337. Let i = -13 + 20. Calculate the smallest common multiple of i and k(-23).
105
Calculate the common denominator of 50/7 and -61*140/(-2058) - 4.
147
Suppose a + 5400 + 1074 = r, -5*r + 32378 = -3*a. What is the lowest common multiple of r and 2?
6478
Suppose -4*n = -7*n - 4*d + 148, -2*d = 5*n - 256. Let o(p) = p**3 + 85*p**2 - 845*p + 7. What is the smallest common multiple of o(9) and n?
208
Let d(j) = 3*j**2 - 101*j - 31. What is the least common multiple of d(34) and 151?
453
Let b(r) = 2*r + 12. Let x be b(-3). Let i = 5 - -33. What is the least common multiple of i and -1 - (x/(-60) - (-507)/(-30))?
304
Let h(q) be the second derivative of -q**4/12 - 7*q**3/3 - 27*q**2/2 + 7*q. Suppose -4*r - 26 - 18 = 0. Calculate the lowest common multiple of h(r) and 32.
96
Suppose 98*h - 207 = 97*h. Suppose 3