i = 2 - -9. Let d = 86 + -59. Suppose 0 = -d*m + 44*m - 374. Calculate the smallest common multiple of i and m.
22
Let r(q) = 7*q**2 + 277*q - 788. Calculate the least common multiple of 132 and r(-44).
6336
Let b = -28 + 17. What is the common denominator of (-5)/(-90)*b - 4 and 70/(-6) + 0 + 2?
18
What is the common denominator of -17/69 and 11 - 12145/(-4380)*-4?
5037
Let q = -155 - -99. Calculate the common denominator of ((-54)/140)/(1 + q/120) and 63/20.
560
Let g = 1492 + -1285. What is the smallest common multiple of g and 138?
414
Calculate the common denominator of 121/730 and (4 - 116/24) + 129/36.
1460
Let h(r) = 5*r - 55*r - 9*r - 361 + 135. Calculate the least common multiple of h(-4) and 20.
20
Let b(x) = -x**2 + 19*x - 85. Let a be b(7). What is the smallest common multiple of 33 and a + (-371)/(-10) - (-15)/(-150)?
396
Let v = 42783 - 22160. Let r = 247331/12 - v. Find the common denominator of r and ((-9)/(-24))/((-7)/(-70)).
12
Suppose 3 = -3*n, 0*j + 5*n = -2*j - 11. Let s(r) = -46*r + 28. Calculate the smallest common multiple of s(j) and 4.
332
Let p = -3302 + 5502. Find the common denominator of -9/128 and 2/10 - (-1685)/p.
1408
Suppose 5*y = -3*r + 43, -4*r + 4*y = -55 - 13. Let b(l) = 2*l**2 - 6*l + 8. What is the smallest common multiple of r and b(8)?
176
Let b be (-1)/(-5) + 741/195. Let f = 18 - b. What is the smallest common multiple of (-21)/(-2) - (-2)/(-4) and f?
70
Let p(k) = -k**3 + 50*k + 3. Let z be p(-7). Let t(f) = 3*f**2 - 7*f + 9. Calculate the smallest common multiple of 15 and t(z).
255
Let t = 441/8 - 55. Let w = 18814 - 752677/40. What is the common denominator of w and t?
40
Let g(j) = 39*j**2 - j. Let y be g(1). Suppose -338 + y = -5*r. What is the common denominator of -11/12 and ((-20)/r)/((-1)/73)?
12
Let k(r) = 9*r**3 - 138*r**2 + 24*r + 17. Calculate the least common multiple of 2040 and k(17).
14280
Let k = -1322 - -3934/3. Calculate the common denominator of 109/162 and k.
162
Let c be 19*-18*21/(-42). Calculate the common denominator of (-98)/(-20) - -10*(-5)/10 and (-20)/25*(-240)/c.
570
Let w = 923431 - 3987375029/4318. Find the common denominator of 39/14 and w.
30226
Suppose -76 = x - 81. Find the common denominator of (-3)/(-60)*x/30*-362 and 37/24.
120
Let f(d) = d**2 - 139*d + 1084. Let r = 121 - 85. What is the smallest common multiple of f(8) and r?
36
What is the common denominator of 101/6 and (7 - 5)/(13*1) + (-8342)/38844?
1494
Let q = -171 - -351/2. Find the common denominator of ((-27)/(-324))/((-31)/141) and q.
124
Find the common denominator of -14 + (-26156)/(-1056) + -11 and 58/33.
264
Let z = 202 + -122. Let i = -2266 + 18165/8. Calculate the common denominator of (2/2 + 2)*(-125)/z and i.
16
Let v(u) = u**3 - 9*u**2 + 19*u - 3. Let i be v(6). Suppose -48 = -i*n + 4*c, 0*n - 75 = -3*n - 5*c. What is the lowest common multiple of n and 50?
100
What is the common denominator of -73/594 and (-799)/756 - (20/(-18) - (-4)/36)?
8316
Let g(n) = -35*n**3 - 5*n**2 - 43*n - 126. Calculate the smallest common multiple of 10 and g(-5).
43390
Let j be (-2)/(-4) + -98*2/(-8). Let m = 39 - j. Let a = m - 8. What is the lowest common multiple of 12 and a?
12
Suppose -4*b - 9*y + 11*y + 4 = 0, b - 3*y = -4. Calculate the lowest common multiple of b and ((-2)/(-6))/(1/18).
6
Let h = -19 - -21. Let r(w) = 57*w**3 - w**2 + w - 1. Let q be r(h). Calculate the common denominator of 30/11 and 16/(-72)*q/8.
132
Suppose -46*u + 104 = 6*u. Calculate the least common multiple of 32 and ((-4)/(-5))/(-4 + u)*-10.
32
Let y = -49 + 67. Calculate the lowest common multiple of y and 43948.
395532
Let m = -171 - -233. Suppose -2*k + 46 - 14 = 0. Calculate the smallest common multiple of k and m.
496
Let a(x) = 7*x**2 - 26*x + 31. Let r(c) = -15*c**2 + 53*c - 63. Let m(l) = -13*a(l) - 6*r(l). What is the least common multiple of 66 and m(13)?
66
Let s = -7770/13 - -23392/39. Calculate the common denominator of (-1)/2 + 106/(-36) and s.
117
Let z be 7/((-21)/(-24)) + 0. Suppose 3*t + 4*h - 150 = 0, 2*t - 5*h + z - 108 = 0. What is the lowest common multiple of t and 110?
550
Suppose -4*i = d - 1078, -2*i + 4*d = -6*i + 1072. Let h = 559/2 - i. What is the common denominator of (-2)/6 - (543/(-54) - -6) and h?
18
Suppose -270*b + 34138 + 23723 = 7641. Calculate the least common multiple of b and 66.
2046
Let o(d) = d - 122. Let m(l) = -2*l - 1. Let s(x) = -4*m(x) + o(x). Calculate the lowest common multiple of 6 and s(14).
24
What is the smallest common multiple of 1/3 - 1 - 5*(-12428)/195 and 15?
1590
Calculate the common denominator of -75/2492 and (-806382)/(-44856) - (-11 - -29).
2492
Let c(z) = z**3 - 16*z**2 + 6. Let r(s) be the first derivative of -7*s**2/2 - 19*s - 30. Let y be r(-5). What is the least common multiple of 3 and c(y)?
6
Let n(l) = 25*l**3 - 7*l**2 + 6*l + 14. Let w be n(-7). Let p = 160975/18 + w. Let b = 806 - 20951/26. Calculate the common denominator of p and b.
234
Let t(w) = 163*w - 4. Let z be t(-2). What is the common denominator of ((-177)/10)/(-1 - 2) and (-9)/(-3) + 1075/z?
330
Calculate the common denominator of 31/1136 and 9/(-2)*5*(-1)/(-24).
1136
Suppose 105*f - 102*f = 9. Suppose -20*i + 23 = f*i. Let a = -11 - -16. What is the smallest common multiple of a and i?
5
What is the smallest common multiple of (-530)/7*(-329)/94 and 5?
265
Suppose 0 = -p - 5*w + 115, -2*p - 6*w + 230 = -11*w. Let o = p + -209/2. What is the common denominator of o and 5/16?
16
Let w(j) = 7*j**2 + 18*j - 9. Let m be w(-9). Suppose m = -4*a + 104. Let x = -87 - a. What is the common denominator of 89/10 and x?
10
Let c(b) = -55*b - 27. Let y be c(-3). Let s = y - 134. Let i(u) = 2*u**2 + 3*u. What is the lowest common multiple of s and i(-2)?
4
Find the common denominator of 1/(-26)*-4 + (-15 - (-14837)/1001) and 111/910.
10010
Suppose 4*y - 6 = -k, 2*y = 22*k - 27*k + 48. What is the common denominator of (-74)/14 + -1*2 and 21/(-14)*k/5 - 25?
7
Suppose 58 = h + 3*a, 9*h - 5*h + 5*a - 260 = 0. What is the least common multiple of 1770 and h?
12390
What is the common denominator of ((-10)/16)/((-35)/(-50)) and (-10 - 18/12)/(7/(-4))?
28
Suppose 27 = -5*s + 37. What is the smallest common multiple of s and 546?
546
Let w = 9 + -7. Suppose -i - 18163 = w*i + 5*x, 3*x + 6 = 0. Let u = i - -96763/16. Find the common denominator of -83/8 and u.
16
Let t = -224 + 252. Suppose 0 = 23*b - 18*b + 245. Let n = b - -89. What is the lowest common multiple of t and n?
280
Let n = -409921 - -874361540/2133. What is the common denominator of n and -167/2370?
21330
Let r be (11 - 37) + -1 + -1. Let n = -1411 - -22583/16. Find the common denominator of 2/7 - (-6 + (-1310)/r) and n.
16
Let q = -361476971/858 + 421302. Find the common denominator of -41/1482 and q.
16302
Let w = 176 + 88. Calculate the lowest common multiple of w and 42.
1848
Let k = 11318528/737 - -14813/268. Let j = k - 15414. Calculate the common denominator of ((-3)/((-9)/2))/((-736)/17848) and j.
132
Suppose 3*z = -3*m + 36, 2*z = -150*m + 149*m + 15. Calculate the least common multiple of 8013 and m.
24039
Suppose -3*s + 1034 = -14*s. Let w = -94 - s. Suppose -f = -12 - w. What is the least common multiple of f and 5?
60
Let k = -123 + 118. Let q(f) = 5*f + 61. Let y be q(k). Suppose 11*s = 5*s + y. What is the lowest common multiple of s and 10?
30
Suppose -91*t = -46*t - 51*t + 1236. Calculate the smallest common multiple of 103 and t.
206
What is the common denominator of (-3220)/(-288) - (57 + -47) and -19/2144?
19296
Let h(v) = 42*v + 646. What is the smallest common multiple of h(-8) and 1209?
12090
Suppose 0 = -1610*p + 1625*p - 13125. What is the least common multiple of 15 and p?
2625
Let r = 620912 - 21111011/34. Let d = 3646/5 - 433584/595. Find the common denominator of d and r.
238
Let x be (-54)/(-189) + (-8605)/(-6216). Let h = -60/37 - x. Calculate the common denominator of -31/60 and h.
120
Let a(m) = -35*m + 138. Let s = 464 - 461. What is the lowest common multiple of a(s) and 1 + 0 - (-19 - 1)?
231
Let i(k) = -4*k**2 - 46*k - 7. Let r be i(-8). What is the common denominator of (280/r)/(88/38 - 2) and -52/25?
225
Suppose 12*r - 2255 = -29*r. Suppose 0 = -y - 9 + 39. Calculate the smallest common multiple of y and 