t f = a - p. Find the common denominator of f and -31/8.
8
Suppose -2*l = 4*z - 386, -3*l + 480 = 5*z - 0*l. Suppose -5*f - z = -8*f. What is the least common multiple of 12 and f?
132
Let h(k) = -k**3 - 17*k**2 + 85*k - 23. Find the common denominator of h(-21) and (-1)/(-1)*201/36.
12
Let k be -26 - -30 - (2 + 683391/(-54)). Suppose 4*j - 671 + 51267 = 0. Let i = j + k. Find the common denominator of i and 17/2.
18
Suppose 0 = 14*i - 100 - 208. Calculate the lowest common multiple of 48 and i.
528
Suppose 4*y - 13 - 7 = 0. Suppose -3*s + 9 = 2*j + 42, -y*s - 50 = 5*j. Let n(r) = -r**2 - 14*r - 7. Calculate the lowest common multiple of 14 and n(s).
42
Let l be ((-105)/(-30))/(2/4). Calculate the least common multiple of 1 and l - -3*(-2)/3.
5
Suppose 18200 = -2*k + 2582. Let a = 62573/8 + k. Let x = -3/137 - -9188/411. Calculate the common denominator of a and x.
24
Let x be (-4055)/(-4)*(-196)/(-30). Let b = -6643 + x. Find the common denominator of 91/10 and b.
30
Let k = -182 + 164. Find the common denominator of (-2)/(-1) + 93/k and -23/24.
24
Let u = 1345852/63 - 21362. Let q = -241/126 - u. Find the common denominator of 91/8 and q.
56
Let m(k) = k + 3. Let v be m(0). Suppose -v*a - 40 = -5*a. Let b = 30 - a. What is the lowest common multiple of b and 8?
40
Let t = 41851 - 8704965/208. What is the common denominator of t and 15/8?
208
Let u = 173/20 - -97/20. What is the common denominator of (-59)/(-4) - (1 - -1) and u?
4
Let m = -18319/5058 - -3/281. Suppose -a - 6 = -1. Calculate the common denominator of 29/(-5)*a/18 and m.
18
Let d(b) = -12*b**2 + 87*b - 3. What is the smallest common multiple of d(7) and 882?
882
Suppose 0 = 108*f - 300 - 207060. What is the smallest common multiple of f and 2?
1920
Let y = -42073 - -2524477/60. What is the common denominator of y and 139/12?
60
Let k(d) = -15330*d + 10. Let a be k(7). Let s = 435709/4 + a. Let l = -1638 + s. Calculate the common denominator of -43/4 and l.
4
Let u(m) = -2*m**2 - 5*m + 2. Let p be u(-2). What is the smallest common multiple of 7 and -23*((1 - 6) + p)?
161
Suppose -109 + 253 = 6*d. Suppose k - 4*z = -3*k + 148, 2*k - 64 = 4*z. What is the smallest common multiple of d and k?
168
Let u be (-118)/(-112)*(-9340)/110. Let y = 627/7 + u. What is the common denominator of y and 13/4?
44
Suppose -2301 = -910*x + 897*x. What is the lowest common multiple of x and 3?
177
Let n be (8 - 7)*(12 + 1). Suppose 0 = 4*r - n - 19. What is the smallest common multiple of r and (-1 - (-2 - 0)) + 4?
40
Let p be 1*5*66/(-55). What is the common denominator of -53/7 and (-137)/p + 21/(-7)?
42
Suppose 0 = 4*z - 21 - 51. Let h = z - 5. Calculate the least common multiple of 2 and h.
26
Let n be (-40)/2*(-48)/(-30). Let k = -24 - n. What is the smallest common multiple of 2 and k?
8
Let c = -65 - -67. Let u(b) be the first derivative of b**4/4 + 7*b**3/3 + 9*b - 1. What is the lowest common multiple of c and u(-7)?
18
Let z be 265/2372*(-412)/(-34). Let a = z - 1/1186. Calculate the common denominator of a and 53/2.
34
Let i be 3/7 + 4097084/(-108024). Let x = i + -2/1929. Suppose 2 + 3 = -j. Find the common denominator of j and x.
2
Let d = 75 - 57. Calculate the common denominator of -23/14 and (-73)/d + (3/(-3) - 2).
126
Suppose -5*a + 27 = 37. Let l be 5*(a - 36/(-15)). Suppose 0 = -3*j - l*j + 50. Calculate the least common multiple of j and 4.
20
Calculate the common denominator of 23/35 and ((-5786)/4648 - -1) + (-121)/(-484).
2905
Let g be 4 - (3 + -2 + -4). Suppose -w + g + 15 = 2*j, -51 = -3*w - 3*j. What is the least common multiple of w and 10?
60
Let r(c) = -30*c**2 - c - 10. Let h be r(5). Let y = -10657/14 - h. Let d = -19175 - -421749/22. What is the common denominator of y and d?
154
Suppose 23*u - 2508 = 4*u. What is the least common multiple of 2 and u?
132
Let j = -17067211/3126 + -38/521. Let i = -5474 - j. Find the common denominator of -71/60 and i.
60
Let k = 425/62 - 26673/3968. Find the common denominator of k and -29/22.
1408
Let h = 123/56 + -1025/168. Let t = -2281/3 + 761. Find the common denominator of t and h.
21
Let k = 930/23 + -97295/2392. Find the common denominator of 28/11 and k.
1144
Let h(l) = -2*l**3 + 2*l**2 + 2*l - 1. Let q be h(2). Let v = q + 13. What is the least common multiple of v and 12?
24
Let a = -319 + 321. What is the lowest common multiple of a and 166?
166
Let m = -56/109 + -15469/654. Let x = 6059/7 - 858. Find the common denominator of m and x.
42
Let i be -2 + (-2 - -4) - 0. Calculate the common denominator of (-102)/44 + i + -2 and 287/(-820)*((-339)/21 + -3).
110
What is the common denominator of (-124)/170 - 0/31 and 23/11?
935
Let s = 3999 + -55819/14. Let p = s - -158/7. What is the common denominator of p and 5 - (-51)/6 - 3?
2
Suppose 1005 = 6*k + 39. Calculate the smallest common multiple of k and 63.
1449
What is the lowest common multiple of 35 and ((-4)/(-1) - 3) + (43 - 16)?
140
Suppose -56 = -7*q + 35. Suppose q*v = 12*v + 58. What is the lowest common multiple of 14 and v?
406
Find the common denominator of (28/(-30))/((-10)/6) and 2/5 - 20/(-25).
25
Let h(i) = -5*i**2 - 2*i - 2. Let p be h(-2). What is the common denominator of ((-142)/(-9))/((-96)/p) and -4 - (215/6)/(-5)?
24
What is the common denominator of 16/60*-12*(-160)/(-264) and -67/33?
33
Let l be 198918/(-4372) + (-1 - 0). Let d = -3/380 - -2519/415340. Let n = d + l. Calculate the common denominator of 29/8 and n.
8
Let v(g) = g**3 + 16*g**2 + 2. Let p be v(-16). Find the common denominator of -77/4 and (116 + p)*(-2)/(-36).
36
Suppose 2*u - 30 = 3*v, -7*u + 68 = -2*u - 4*v. What is the lowest common multiple of 12 and u?
12
Let p = 173 + -593. Find the common denominator of 4/(-14) - (-3405)/(-700) and (-2050)/p + (-4)/(-14).
60
Suppose 0 = -5*b + 2*h + h + 78, 2*b - 3*h = 24. What is the lowest common multiple of 62 and b?
558
Let l = 2/8473 - 432143/84730. Calculate the common denominator of (-13)/(104/(-10)) - 134/(-16) and l.
40
Suppose 766 = 5*c + 4*z, 3*c = 5*c - 5*z - 313. Calculate the smallest common multiple of c and 6.
462
Let r = 90 + -110. Let l = -17 - r. What is the smallest common multiple of l and 3?
3
Suppose -2*r - 12 = 2*r. Let h(f) = 2*f**2 + 6*f + 9. Calculate the smallest common multiple of 4 and h(r).
36
Calculate the common denominator of ((-84)/(-35) - 10)/(216/70) and -53/66.
594
Let m(z) = -z**3 + 12*z**2 - 11*z + 10. Let k be m(11). Let o = 70593/12140 + 82/607. Calculate the common denominator of o and (-2)/k - 219/(-70).
140
Let k = -223 + 1072/5. What is the common denominator of 29/3 and k?
15
Suppose 0 = -k - 1, 2*s + 5*k = -3. Let a(j) = j + 4. What is the least common multiple of a(6) and s?
10
Suppose -h + 6*h = 1665. Suppose 2 = -2*v + 4. Find the common denominator of 59/24 and 3 - (h/66)/v.
264
Suppose 3*z = -2*z - 3*u - 165, -5*z + 3*u - 135 = 0. What is the common denominator of (1 - 0) + 605/z and -101/36?
36
Let h = -52 + 1. Let c = h - -58. What is the smallest common multiple of 9 and c?
63
Let w(f) = -f - 12. Let g be w(-8). Let r be (2/4)/(g/(-96)). Suppose -2*o + 4*o = r. Calculate the least common multiple of o and 12.
12
Let s be -3 + -7985*3/2082. Let y = s + 2/347. Find the common denominator of 36/11 and y.
22
Suppose -3*g - m + 152 = 0, 2*g - 165 + 59 = 4*m. Let d = -30 + g. What is the lowest common multiple of 33 and d?
231
Suppose h + 3 = 10. Suppose -j + 2*t - 12 = 3*t, -2*j + t - 15 = 0. Let w = -6 - j. Calculate the least common multiple of h and w.
21
Suppose 2*z + 9 = 5. Calculate the lowest common multiple of (z - -6)/(2 + 0) - -1 and 1.
3
Let o(h) = h**2 + 2*h + 4. Let g be o(-3). Suppose -13 = -g*s + 22. What is the least common multiple of s and 18?
90
Let v = -874407/28 - -31225. What is the common denominator of -9 + 10 + 93/(-30)*-3 and v?
140
Calculate the smallest common multiple of 167 and -1 - -10 - (-16 - -14).
1837
Let v(q) = q**3 - q**2 + 2*q + 53. Let t be v(0). Let a = -49 + t. Suppose 3*k = -4*u + 77, 0 = -k + 2 - 3. Calculate the least common multiple of u and a.
20
Let n = -948 + 962. Let a(d) = d**2 - 3*d. Calculate the smallest common multiple of a(-6) and n.
378
Let k(g) = -169*g - 7. Let z be k(11). Let t = z - -18583/10. Calculate the common denominator of 11/12