
220
Let u(l) = -l**3 - 3*l**2 + 4*l + 6. Let t(w) = -w**2 + 9*w + 27. What is the lowest common multiple of u(-4) and t(11)?
30
Find the common denominator of -2*1322/720 - (48 - 52) and -19/126.
1260
Suppose 49 = 3*x + 7. Suppose -16*f + 76 = 7*f - 108. What is the smallest common multiple of f and x?
56
Let n = 774 - 1170. Find the common denominator of -55/12 and n/(-55) + 1/(-2).
60
Suppose 3*g = -3*y - y + 25, -5 = y - 3*g. What is the least common multiple of -2 + (10 - 0) + 1 and 5/(5/y) + -3?
9
Suppose 8 = 4*j - 0. Let p = 97 - 97. Suppose 10*x - 32 - 28 = p. What is the least common multiple of j and x?
6
Calculate the common denominator of (18/(-16))/((-268)/(-176) - 2) and 111/290.
2030
Let h = -10445/4 + 140995/54. Calculate the common denominator of h and -77/72.
216
What is the smallest common multiple of 8 and 2*((-2)/5)/(2/(-10))?
8
Suppose -15*t + 19*t + 4*u = 76, -5*u - 145 = -5*t. Let w = 56 - 26. Calculate the smallest common multiple of w and t.
120
Let j = 15563/7 - 2229. Calculate the common denominator of 6/65 and j.
455
Let i = -60 - -87. Suppose -3*d = -0*d + j + i, -2*d - 2*j = 18. Let f(k) = k**3 + 8*k**2 - 10*k + 2. Calculate the least common multiple of f(d) and 8.
88
Suppose 5*s = -5*k + 85, 4*k - 108 = 2*s + 2*s. Calculate the smallest common multiple of (-111)/(-9) + (-1)/3 and k.
132
Let h = -7 - -11. Let a(i) = i. What is the least common multiple of a(h) and 12 + 9 + (-187)/11?
4
Find the common denominator of (4/(-20))/(4/(-242)) and 2 + 78/4 + 8.
10
Let j = 997 - 10914/11. What is the common denominator of j and (((-2255)/(-330))/((-3)/2))/1?
99
Let x(j) = j**3 - j**2 + 3. Let q be x(0). Suppose 2*w - 2*g - 13 = -1, -q*w = 5*g - 10. What is the lowest common multiple of w and 240/(-15)*2/(-4)?
40
Let x be 105/(2 - -1) - 0. Find the common denominator of 17 and (-21)/x - (-30)/4.
10
Let p be (-1 + -1)*(5 - -18). Let f = -43 - p. Calculate the lowest common multiple of (-399)/(-15) + 4/10 and f.
27
Let f(c) = 2*c**2 + 12*c - 8. Let n be f(-8). Let s = 28 - n. Calculate the smallest common multiple of 16 and s.
16
Let a be (-8)/(-12) - 2/3. Suppose 2*i + 23 = 5*k, 2 = k - a*k - 3*i. Let h(q) = 9*q - 25. What is the least common multiple of h(3) and k?
10
Calculate the smallest common multiple of (-14345)/(-35) - 2/(-14) and 410.
410
Suppose -2*z = -2*y + 7*y - 26, -2*z = -4*y + 10. Suppose -z*m + 2*m = -6. Let j(f) = 5*f**2 + 2*f - 1. What is the lowest common multiple of m and j(1)?
6
Suppose -4*f + 28 + 12 = -4*m, -3*m = -2*f + 26. What is the smallest common multiple of f and (0 + -4)*(-67)/2?
268
Calculate the smallest common multiple of ((-12)/4*(-416)/(-12))/(-2) and 16.
208
Let q = -1531/333 - 56/37. What is the common denominator of q and ((-132)/(-150))/(60/275)?
90
Let n be (0 + -140)/((-12)/(-294)). Let o = 27369/8 + n. Calculate the common denominator of 1/4 + 82/8 and o.
8
Let g(s) = -2*s**2 + 8*s - 4. Let b be g(7). Find the common denominator of -31/10 and b/(-60) + -5 - -2.
30
Let c(r) = 11*r + 86. What is the lowest common multiple of 36 and c(-6)?
180
Suppose 9 = -4*a - 3*y, -3*a - 38 = -0*a - 4*y. What is the common denominator of a/14*(-46)/(-6) and 19/10?
70
Suppose -2*u + 3*h = -2*h - 160, -4*u - 3*h = -372. What is the least common multiple of u and 11?
990
Let f = -2683/4 + 662. What is the common denominator of f and (-4)/2 - 92/(-40)?
20
Let n be (-41)/3 + 3/(-9). What is the common denominator of 4277/(-392) + (-4)/n and 8/5?
40
Let c = -2307 - -2313. Calculate the lowest common multiple of 11 and c.
66
Let y = -12 - -24. Let b be (-14)/(-6) - (-12)/(-36). Suppose 0 = 2*f - 5*f + t + 173, -5*t - 137 = -b*f. Calculate the least common multiple of y and f.
168
Let p be 2/(-8) - (-9)/(-12). Suppose 2*x - 13 = 5. Let n = x - p. What is the smallest common multiple of 10 and n?
10
Suppose -274 = -4*d - 2*h, -2*h - h - 3 = 0. What is the lowest common multiple of d and 12/3*(-36)/(-8)?
414
Let s = 5671/820 + -712/41. Let z = s + 1/5. What is the common denominator of z and -43/2?
4
Let v = -2 + 4. Suppose 4*d + 0*d = 0. Suppose 5*b - 4*x - 72 = d, 3*x - 4*x = -3*b + 46. What is the lowest common multiple of b and v?
16
Let g = 45737 - 1371937/30. What is the common denominator of g and 71/30?
30
Let n(f) = -12 + 0*f + 0*f - f. Let u be n(-11). Let s = 1 - u. What is the smallest common multiple of 8 and s?
8
Calculate the common denominator of -29/10 and (2 - 1) + 565/150.
30
Let v be (-1)/21*-6 - 153/21. What is the common denominator of 71/2 and v - 36/(-5) - (-111)/170?
34
Let w = 1 + 8. Let z(a) = a**3 - 10*a**2 + 9*a - 5. Let b be z(w). Calculate the least common multiple of 12 and ((-228)/3)/(3 + b).
228
Let p(k) = -k**2 - 33*k - 245. Calculate the lowest common multiple of 30 and p(-20).
30
Let o(l) = -l**3 + 3*l**2 + 4*l. Let j be o(3). Find the common denominator of -52/11 and (-3)/j*2 + (-66)/30.
110
Let p = 456 - 4109/9. Let r = 2/17 - 837/34. What is the common denominator of r and p?
18
Suppose -12*u + 9*u = -48. What is the smallest common multiple of 96/64*(-160)/(-6) and u?
80
Suppose -2*m + 12 - 50 = 0. Let r = m + 18. Let h = 9 - r. Calculate the least common multiple of h and 4.
20
Let v(k) = k**3 - 6*k**2 + 7*k - 3. Let n(h) = 28*h - 835. What is the smallest common multiple of v(5) and n(30)?
35
Let k = -336 + 352. Calculate the lowest common multiple of 10 and k.
80
Let x(v) = -5*v - 51. Calculate the lowest common multiple of 7 and x(-13).
14
Suppose -c + 4*n + 42 = -2*c, n - 74 = 3*c. Calculate the smallest common multiple of 8 and (c*1/2)/(-1) - 3.
40
Suppose -1 = o - t - 3*t, -2*t + 3 = -3*o. Find the common denominator of -43/6 and (o - -3)*(0 + 268/72).
18
Suppose -2*t - 37 + 57 = 0. What is the lowest common multiple of t and 157?
1570
Suppose -q - 2 + 7 = 0. Suppose q*z - 7*z = -14. Suppose z*y - 2*y = 80. Calculate the lowest common multiple of 20 and y.
80
Let x(s) = s**3 + 13*s**2 + 11*s - 7. Let i be x(-11). Suppose 0 = -i*f + 109*f + 80. Calculate the smallest common multiple of 32 and f.
32
Suppose -112 = 43*r - 47*r. What is the least common multiple of 14 and r?
28
Let f(t) = t**2 - 9*t + 18. What is the least common multiple of 21 and f(12)?
378
Suppose -4*n - 1015 = -6995. What is the common denominator of n/(-468) + (-2)/(-8) and -83/10?
90
What is the smallest common multiple of -12*(3 + 2)*9/(-18) and (-66)/(-2)*(-2 + 3)?
330
Let u = 599/85 + 165/34. What is the common denominator of u and (-458)/112 + (-6)/21?
40
Let x = -17259/2 - -9593. Let b = -917 + x. Find the common denominator of b and -53/14.
14
Let r = 8 - 11. Let x = r + 23. Calculate the least common multiple of 15/9 + (-200)/(-24) and x.
20
Let n = -6004797811/30 - -200137828. Let j = n - -22094. Find the common denominator of 101/6 and j.
30
Let o = -12077/480 + -1/160. Find the common denominator of o and 79/147.
294
What is the common denominator of (-42)/28*(-1)/23 - -1 and 32/11?
506
Suppose 3*a + 4 - 3 = -2*c, 7 = -4*c - a. Let p be c/(-8) + (-278)/(-296). Let g = 1653/259 + p. Calculate the common denominator of -73/3 and g.
21
Let x(i) = -i**2 - 20*i + 99. Calculate the smallest common multiple of 24 and x(-21).
312
Let h = -29/21 - -3/14. Let z = 2/3 + h. Find the common denominator of z and ((-31)/3)/((-4)/2).
6
Let a(t) = 2*t + 64. Calculate the smallest common multiple of a(-17) and 87.
870
Let w(r) = -27*r**3 + 3*r**2 + 3*r + 1. Let d be w(-1). What is the smallest common multiple of 22 and (d + -21)*(-1 + 50/14)?
198
Let c = -970398229 + 4326035286805/4458. Let k be 1 + 2/(13374/(-6683)). Let o = c - k. Find the common denominator of o and -113/14.
126
Let z = 422663/30 + -14086. Find the common denominator of z and 3 + (-248)/64 + -4.
120
Find the common denominator of (-2)/(-9)*473/36 - 3 and 101/90.
810
Let l be (6 - 9)*(2 - 3). Suppose 9*z = l*z + 360. Calculate the common denominator of 633/z - (-7)/(-28) and -119/20.
20
What is the common denominator of -40/3 and 9 - -2 - 8792/616?
33
Let x = -9133 - -91217/10. Let i = -22/163 + 16507/326. What is the common denominator of i and x?
10
Let r be (-2)/1 - -14*1. Let z(v) = 2 - r - 5 + 3*v. What is the smallest common multiple of z(8) and 1?
9
Let o = 74 + -39. What is the lowest common multiple of o and 10?
70
