 and (-100)/x - 2*1.
6
Let k be -1*(9856/12)/7. Let d = k - -497/6. Find the common denominator of (-1385)/(-1600) - (-3 - (-39)/15) and d.
64
Let d = -15 - -7. Let o(a) = -a**3 - 6*a**2 - 10*a - 23. Let b be o(-5). What is the least common multiple of 58 and (b - 1)/(d/(-144))?
522
Calculate the common denominator of 1*(4 - (-60)/(-16))/((-21)/826) and 103/1310.
3930
Suppose -3*u = -53*m + 51*m - 13231, 5*u - 5*m - 22065 = 0. Calculate the smallest common multiple of u and 5.
4405
Calculate the common denominator of 137/756 and -1 - ((-890)/(-1960) + -2).
5292
Suppose -17*f = -2*r - 19*f, -2*r = f - 6. What is the least common multiple of (-400)/(-3)*18/15 and r?
480
Let c be (7/(-35))/(1/(-265)). What is the smallest common multiple of 6 and c/((-6*(-2)/12)/11)?
3498
Let s = -162344 - -47242037/291. Find the common denominator of 31/6 and s.
582
Let f be (0 - 6/(-7))/((-2)/(-84)). What is the common denominator of -75/8 and 502/(-712) + (-27)/f + 1?
712
Suppose m = -3*m + 12. Let z(v) = -20*v - 108. Let k be z(-9). Suppose -4*r = -3*n - k, 0 = n + m*n - 16. Calculate the least common multiple of r and 9.
63
Let w = 361206/37 - 9763. What is the common denominator of -8/555 and w?
555
Calculate the common denominator of (-152)/(-1071) - 14/49 and (27904/2560)/(36/20).
306
Let p = 133967/40 + -3349. Let z = p - 13/20. Calculate the common denominator of z and -77/30.
120
Suppose 3*f - h = 674, f - 5*h = 339 - 105. What is the lowest common multiple of 528 and f?
7392
Let a = 902 + -898. Let h = -1 - -5. Suppose -3*z + 0*z - 3*g + 21 = 0, -36 = -5*z - h*g. Calculate the lowest common multiple of a and z.
8
Let p = -408 + 414. Let h = 331 + -319. Calculate the smallest common multiple of p and h.
12
Let d = 4123037/92 - 44815. Find the common denominator of d and 33/344.
7912
Let p be 1/(-4) - (-266)/8. Let q(t) = 79*t - 6396. Calculate the lowest common multiple of q(81) and (p/12 + -1)*8.
42
Suppose -41451 = -3*s - 107427. Let y = -791801/36 - s. Calculate the common denominator of y and -61/14.
252
Let p(n) = -n**3 - 52*n**2 + 134*n - 301. Calculate the smallest common multiple of p(-57) and 22.
91366
Let n(k) = k**3 - 30*k**2 - 29*k - 56. Calculate the lowest common multiple of n(31) and 2/3 - (-66)/9.
24
Suppose 0 = -115*k + 23*k + 1840. Let b be 1/3 - (-287)/3. Suppose -b = -8*l + 4*l. Calculate the smallest common multiple of k and l.
120
Let v be -1 + 2/(-8) + 15/12. Suppose 0 = 2*j + b - 37, 5*b + 24 = j - v*b. Suppose -2*m = -j - 13. Calculate the smallest common multiple of 8 and m.
16
What is the least common multiple of (-1)/5*7*(-2275)/(-195)*-9 and 123?
6027
Calculate the common denominator of (-75)/360*(-115)/25 and -9/136.
408
Suppose -3 = 2*z - 5*z. Let f(q) be the third derivative of 3*q**5/20 + q**4/24 - 4*q**2. What is the lowest common multiple of f(z) and 16?
80
Let y(q) = -1 - 40*q + q**3 + 40*q. Let a be y(2). Suppose -3*o = a - 37. Calculate the smallest common multiple of o and 8.
40
Let t = -8450 + 9583. What is the least common multiple of 721 and t?
7931
Let a = -330634/61 - -5421. Find the common denominator of (4 - -2) + (-56)/(-80) and a.
610
Let q(v) = -v**3 - 5*v**2 + 2*v + 6. Let s be q(-5). Let t be -3 - -2 - s - -3. Let j(k) = -2*k + 21. What is the smallest common multiple of 8 and j(t)?
72
Let y = 624060323/1478 + -422233. What is the common denominator of 97/18 and y?
13302
Let l be (-54)/(-3 - (-56)/24). Let s = l + -77. Calculate the least common multiple of s and 94.
188
Let t(h) = h + 15. Let j be t(-5). Suppose -j*z + 3 = -9*z. Let m(w) = -w**2 + 6*w + 3. Calculate the least common multiple of m(z) and 2.
12
Suppose -4*w + 4*x = -120, 15*w - 14*w - 30 = 4*x. Suppose -14*m + 11*m - 2 = 2*k, 5*k + 3*m - 13 = 0. What is the least common multiple of k and w?
30
Let n = -5954 - -15769. Let o = n + -33223776/3385. Let v = -9614/2031 - o. Calculate the common denominator of 97/30 and v.
30
What is the common denominator of 15/32*(-15826)/19300 and -143/60?
960
What is the common denominator of (-4840)/(-240)*((-6)/124)/(5/(-2)) and -131/1488?
7440
Let n(k) = 5*k**2 - 20*k + 103. Let l be n(9). Let m = 440 - l. Calculate the lowest common multiple of m and 12.
336
Let f be ((-8)/6)/(2/(-36)). What is the common denominator of -11/16 and ((-1)/f)/((-169)/3861)?
208
Let y be 38361/(-1425)*14/86. Let u = y + 228/43. What is the common denominator of u and 63/(-154) - 3/2?
275
Suppose -16 = 4*h, 0*k + h + 12 = k. Calculate the common denominator of 89/16 and ((-42)/(-105))/(k/205).
16
Let z(b) = -28*b + 152. Let l be z(5). What is the smallest common multiple of (l/2)/((10/26)/5) and 5?
390
Let q(y) = y + 2. Let c(v) = -36*v - 3. Let s(n) = -c(n) + 5*q(n). What is the least common multiple of s(1) and 1?
54
Let u = -101913 - -198573/2. Let o be 6/4 + (-5159)/2. Let z = o - u. Calculate the common denominator of z and -101/10.
10
Let w be ((-2)/8)/(15/215170). Let k = 4309 + -733. Let m = w + k. What is the common denominator of m and 11/9?
18
What is the common denominator of 3*(-71)/24840 + 0/(-1) and 77/12?
8280
Suppose 3*l = 12*l - 621. Let m = l + -70. Find the common denominator of m/((-40)/(-315)) + 3/1 and -133/6.
24
Find the common denominator of -115/112 and (4/(-140))/((-1152)/5850).
448
Suppose 165 = 3*i - 3*q, 3*q - 52 = -i + 5*q. Suppose -38 + i = 4*d. Let o(m) = m**3 - 4*m**2 + 3. Calculate the least common multiple of d and o(4).
15
Let u = -12600 + 13628. What is the smallest common multiple of 514 and u?
1028
Let h = -20 - -23. Suppose -h*i + 5*w = -11, 4*i - 1 + 25 = -3*w. Find the common denominator of -83/6 and ((-51)/243)/(i/(-9)).
54
Let g be (76/16)/(1/4). Let p = g + 31. What is the common denominator of -86 + 89 + (-1 + -31)/((-12)/(-8)) and p?
3
Calculate the common denominator of ((-81)/240)/(62/440 + 1/(-4)) and -109/12.
96
Suppose 916 = 104*o - 100*o. Let v be (-45)/(-60) + o/(-220). Let s = -177/110 - v. What is the common denominator of s and 131/6?
66
Let w = -312317/32 - -9761. Find the common denominator of 39/52*1068/(-216) and w.
96
Let b = -163 - -59. Calculate the common denominator of (-166)/b - (-22)/143 and -23/20.
20
Suppose 0 = -5*w + 3*k + 1834, 2*w + 18*k - 19*k = 734. Calculate the common denominator of (42/(-4))/(7 + w/(-68)) and 97/32.
288
Let w = 20 + -13. Let b(n) = n**3 + n**2 - 7*n + 1. Let p be b(-3). Calculate the smallest common multiple of (2/6)/(p/372) and w.
217
Let f be ((-6)/(-8))/((-1)/(-12)). Suppose -4*v - f*v + 39 = 0. What is the smallest common multiple of v and 9?
9
Let l = -1942171 - -23305921/12. Let g(y) = 138*y - 2. Let n be g(-2). Let r = 545/2 + n. Calculate the common denominator of l and r.
12
Find the common denominator of (11 - 4) + (-13)/((-11102)/(-6125)) and 46/5.
610
Suppose -i + 6 = -f, -2*f - 4*i - 3 = -3*i. Let s = 1966 + -7913/4. Find the common denominator of 0 - 111/(-18) - (-2 - f) and s.
12
Suppose -3*n = -j - 22, 0 = -2*n - 4*j + 89 - 93. Calculate the least common multiple of n and 75.
150
Suppose 88*k - 80 = 872 - 248. What is the lowest common multiple of 1584 and k?
1584
Suppose 11*l - 12*l - 117 = -y, 0 = -4*y + 3*l + 466. Let w = y + -35. What is the smallest common multiple of 12 and w?
240
Let z be -3*(-8)/(-1080)*(-24)/(-178). Let a = z - -2725/534. Calculate the common denominator of a and -113/66.
330
Suppose -n + 679 = -3*i, -n - 51*i + 680 = -53*i. Let a = 700 - n. What is the smallest common multiple of a and 66?
198
Let d = 403 + 581. Let r = -981 + d. Suppose 0 = 2*j + 2, 4*q + j = -j + 130. What is the least common multiple of q and r?
33
Let c = 1767 + -33609/19. Let a(h) = 169*h**3 + 5*h**2 + 12*h + 4. Let w be a(-3). What is the common denominator of w/400 + 6/9*9 and c?
152
Let k = 3080 + -2714. Calculate the smallest common multiple of k and 93.
11346
Let w = 64 + -58. Suppose -3*n = 22 - 160. Calculate the least common multiple of w and n.
138
Suppose 1100 = 80*q - 85*q. What is the common denominator of q/8*2/(-14) and -105/26?
182
Let h = 1544 + 348. What is the lowest common multiple of 1892 and h?
1892
Suppose -71*a + 15*a = -1176. Calculate the least common multiple of a and 1008.
1008
Let g(h) = -1 + 14 + 8*h**2 - 6*h + h**3 + 0*h**2. Suppose -5*p + 104 - 134 = 5*k, 0 = 3*k + 5*p + 12. What