228 = 7*f - 402. Suppose 20*t + f = 30*t. Calculate the least common multiple of 32 and t.
288
Calculate the common denominator of (75/(-77) - -1)/((-1)/9) and -79/3738.
41118
Find the common denominator of 63/50 and -2*19/95 - (-178)/(-60).
150
Calculate the common denominator of (-781)/180 - 138/(-115) and (0 - -1)/(-60)*3190/(-132).
72
Suppose 5*x + 3*j = 5*j + 17769, -x + 6*j + 3537 = 0. What is the smallest common multiple of x and 4?
14220
Let c(z) be the second derivative of z**4/12 - 23*z**3/3 + 61*z**2 + z + 86. What is the least common multiple of c(44) and 2?
34
Suppose -5*o = 6*o - 242. Suppose -16 = -26*k + o*k. Suppose k*l + 225 = 5*i, 2*l - 7*l = 3*i - 135. Calculate the least common multiple of i and 12.
180
Let o = -148813881/10478 - -28405/2. What is the common denominator of o and -13/6?
31434
Let c = 2585 + -1481. Let k = -756 + c. Let p = -8345/24 + k. Find the common denominator of p and 31/21.
168
Suppose 4*g + 5 = -7. Calculate the common denominator of g/((-78)/61) + (-2)/(-13) and 452/(-72) + (-2)/6.
18
Let h = 3/24652673767 - 602460093956719205/6557611222022. Let z = -91872 - h. Find the common denominator of z and 81/2.
266
Suppose 1541*h = -f + 1545*h + 2662, 2718 = f + 3*h. What is the least common multiple of 27 and f?
24246
Let j be 5*1*64/20. What is the least common multiple of (j/(-3) - -2)*-3 and (-28)/(-48) + (-45)/180 - (-10)/6?
10
Let q be (4950/(-12))/(-15) + (-2)/(-4). Calculate the least common multiple of 5 - (-5 + q/7) and 330.
330
Let m(l) = 6*l**2 - 39*l + 96. Let t(r) = 8*r**2 - 59*r + 144. Let h(z) = 7*m(z) - 5*t(z). What is the lowest common multiple of h(2) and 9?
36
Let k be (-5824)/7205 + (-270)/450. Let x = 288091/142790 + -220/109. Let q = k + x. Calculate the common denominator of 123/20 and q.
220
Let l(y) = -43*y + 141. Let m be l(3). Let x(j) be the first derivative of -2*j**3/3 + 27*j**2/2 - 14*j + 4. What is the lowest common multiple of 66 and x(m)?
66
Let a = 38679943/59706 - 20081/31. What is the common denominator of -125/54 and a?
5778
Let q be ((-8)/6)/(14/(-21)). Suppose 64 = 4*m - q*v, 2 = v - 0. What is the common denominator of m and 36?
1
Let h(d) = -19*d**3 + d**2 + d + 1. Let o = 245 - 246. What is the least common multiple of 8 and h(o)?
40
Let w = -7904 - -7974. Calculate the smallest common multiple of 35 and w.
70
Let g = -10684344/7 - -1523416. Let l = g - -2925. Calculate the common denominator of l and (70/21)/((-2)/(-8)).
21
Let o(y) = 2*y**3 + 8*y**2 - 20*y + 8. What is the lowest common multiple of o(-5) and 58?
58
Let q = -109 - 11. What is the common denominator of ((-36)/(-105))/(18/q) and -25/12?
84
Let y = 97 - 48. Let u = 1 - -1. Calculate the lowest common multiple of (-14)/y - (-72)/7 and u.
10
Let h = -6/913 - -6661/41085. Find the common denominator of (-266)/(-57)*(-1)/((-1400)/21) and h.
900
Let t(c) = -c**3 - 9*c**2 + 18*c + 64. Let u(o) = -16*o**3 + 5*o + 1. What is the smallest common multiple of u(-5) and t(3)?
9880
Let q be (-651)/2072*885/297 + 0. Let r = 25104 + -10217337/407. Let m = q + r. What is the common denominator of m and -3/20?
120
Let d(g) = -g + 14. Let o be 9/(-21) - (-11)/(-7). Let f be d(o). What is the least common multiple of 16 and f*2*3/12?
16
Let h be ((-3)/12)/(4/(-48)). Suppose 4*d = -4*i, h*d - 6*d - 7 = -4*i. Calculate the common denominator of -103/28 and ((-24)/(-30) + d)/((-16)/390).
56
Let i = 3254 - 9877/3. Let u = i - -59. What is the common denominator of u and 9/2?
6
Suppose 4*n = -103 + 87, 4*m = -5*n + 2196. Suppose -5*g - 4 + 14 = 0. What is the least common multiple of g and m?
554
Suppose 17*y - 56 + 14 = -4*y. Suppose -5*j = -2*q - 17, -4*j = -0*q + 3*q - 32. Calculate the smallest common multiple of y and q.
4
Let q(f) = 2*f**2 - 15*f + 121. Let v be q(11). Calculate the common denominator of v/77 + 4/42 and -6 - (3 - 6) - -32.
3
Suppose -5*i + i - 58 = -k, 3*k + 50 = -4*i. Let n be 12*(7/i)/((-3)/22). Let a = n - -23. Calculate the least common multiple of 2 and a.
134
Let v be (-16)/28 - 340/(-7). Suppose -3*d + v = -27. Find the common denominator of 38/9 and (12/30)/((-4)/d).
18
Let g(f) = 6*f**2 - 2*f - 2. Let a be g(2). What is the smallest common multiple of (17 + -5)*(2 + 4 - (7 - 3)) and a/4*(-16)/(-6)?
24
Suppose 0 = -t - 0*t + 4397. Let z = -184621/42 + t. Find the common denominator of (-158)/20 + (-8 - -8) and z.
210
Let h = 62 - 10. Let c(q) = -q**2 + q + 877. Let b be c(-29). Suppose 2*y = 3*a + b*y - h, 3*a = -3*y + 60. Calculate the smallest common multiple of 15 and a.
120
What is the smallest common multiple of 70 and 10 + -11 + -9 + 20?
70
Let v = -50 + 74. Suppose 0 = -v*a + 21*a + 12. Suppose -a*q + 5*w + 347 = 0, 5*w - 8 = -q + 110. What is the least common multiple of q and 7?
651
What is the least common multiple of 2 and (-21)/(126/(-42384))*4/32?
1766
Find the common denominator of (-184)/(-6)*(0 - (-5)/(-16)) and 11 + (13 - 38883/1690).
780
Let s be ((-236)/6)/(50/(-3375)). Let n = -37151/14 + s. Let z = -6305/4 + 1584. What is the common denominator of n and z?
28
Let m = -62175/728272 + 13/1979. Let i = -2/3621 + 68863/115872. What is the common denominator of m and i?
736
Let h = 1976719/110 - 89962/5. Let r = h + -113/11. Find the common denominator of -151/66 and r.
66
Let s be 0/4 + 1*2. Suppose -2*h + 4*v - 5 = h, s*h + 3*v - 8 = 0. What is the least common multiple of (54/(-8) - -6)*(5 + 5 + -14) and h?
3
Suppose -6*m + 3 = -165. Suppose -m*y = -24*y - 1812. What is the smallest common multiple of y and 7?
3171
Let p = -2937/161 + 252/23. Let i(k) = 2*k**2 + 65*k - 77. Let m be i(-33). Find the common denominator of p and 5/(-75)*-4*(-80)/m.
231
Suppose 0*b + 364 = 4*i - 2*b, -453 = -5*i + 2*b. Suppose i*v - 87*v - 10 = 0. Suppose -6*t = -v*t - 9. What is the lowest common multiple of 27 and t?
27
Let w(q) = -q**3 - 4*q + 414. Let r be w(0). Calculate the least common multiple of (r/(-15))/(-1 - 7/(-10)) and 1.
92
Suppose 5*h - 251 + 216 = 0. What is the lowest common multiple of 71/h + (-5)/35 and 9?
90
Suppose -h + 4*p + 17 - 6 = 0, 2*h - 2*p = -2. Let i(y) = 2*y**2 + 10*y - 6. Let d be i(h). Find the common denominator of (41*(-12)/150)/(d/10) and 101/54.
270
Let m(u) = -2011*u + 16. Let q be m(-7). Let p = q + -25061. Let c = -109779/10 - p. Find the common denominator of -40/7 and c.
70
Suppose 4*u - u = 4*b - 64, 0 = -2*b + u + 32. Let w = -8 + b. What is the common denominator of 4810/(-880) + 3/w and -25/9?
99
Let v = 2/13303 - 8407502/39909. Let i = -3731369/104 + 285345/8. Let h = i - v. Find the common denominator of h and -17/21.
546
Let l = 1200847/5658 + -4798/23. Let c be (-2)/5 - (-2796)/(-2460). Let s = c - l. Find the common denominator of s and -77/8.
24
Suppose -382 = -9*v - 58. Suppose 5*d - 61 = -v. Calculate the least common multiple of 14 and d.
70
Suppose u + h + 1 = 6, 0 = 3*u + 5*h - 15. Suppose u*s = -3*a + 61, 24 = 2*a + 3*s - 15. What is the smallest common multiple of a and 90?
180
Let c = 568/39 + -3632321/249405. Let x = c + -505247/268590. Calculate the common denominator of 67/78 and x.
546
Let t = 263 + -55. Suppose -4*i - 83 = -3*z + 38, -4*z - 4*i = -t. Suppose 0 = 5*q + 3*r - r - z, 3 = 3*r. What is the smallest common multiple of 12 and q?
36
What is the common denominator of 89/448 and (11 - 6520/616)/2?
4928
Let w = 5 + -13. Calculate the common denominator of -3*((-57)/(-126) - 1) and (-33)/(-26) - (7 + w).
182
Let j = 2 + 2. Let x be 939/(-2) + 3/(-6). Let r = x - -480. Calculate the smallest common multiple of r and j.
20
Let s = 37979/11165 + -173/55. What is the common denominator of 23/10 and s?
2030
Suppose 0 = 9*u + 15*u - 4368. Suppose 2*l + 102 = u. Calculate the least common multiple of l and 105.
840
Let b(a) be the third derivative of -a**4/24 + 22*a**2. Let y be b(13). Let n(j) = j**3 + 12*j**2 - 13*j + 2. What is the least common multiple of n(y) and 10?
10
Calculate the common denominator of -61/420 and (-375550)/(-36750) + (-12 - -1).
420
Let x be ((-2032952693536786)/90073300111210 - 0)/(-4). Let a = 2/16899305837 + x. Let c = a - -4/533. What is the common denominator of c and -101/10?
20
Suppose -2*q + 152 = 2*q. Suppose -t - 35 = -3*g - 17, -12 = -3*g - t. What is the lowest common multiple of g and q?
