20
Suppose -8*r + 9*r = 83. Let f = -67 + r. What is the smallest common multiple of f and 34?
272
Suppose 0 = 3*u - 2*u - 16. Suppose -3*d = 2*m - 100, 51*m - 56*m - 3*d = -232. What is the lowest common multiple of u and m?
176
Find the common denominator of 8/(-6)*979/(-616) and -15/28.
84
Let s(t) = 2*t**2 - 2. Let p be s(2). Find the common denominator of 37/12 and (423/p*(-2)/(-6))/(-1).
12
Suppose 10 = -4*n + 2. What is the common denominator of ((-3)/n)/((-363)/253) and (2 + (-309)/(-54))*-3?
66
Let j = -7238938/411 + 17613. Find the common denominator of j and -23/30.
4110
Let l(w) = -w**2 + 4*w + 3. Let j be l(4). Suppose -h + 8 = j. Let b(d) = -d + 7. Calculate the smallest common multiple of 6 and b(h).
6
Let d = 29401 + -764533/26. What is the common denominator of d and 31/6?
78
What is the least common multiple of 96 and (-15)/(-1) + 1/(-1) - 2?
96
Let z be 4/4*2 - -2. Suppose z = 4*h - 20. Find the common denominator of -9/8 and 2875/(-90)*h/20.
24
Suppose 36*f - 22*f - 1694 = 0. Calculate the least common multiple of f and 220.
2420
Let s = 0 + 4. Suppose s = -0*c + 2*c. What is the lowest common multiple of 4 + (-1)/(c + -3) and 1?
5
Let p be (-120)/(-18) - (-4)/(-6). Suppose -10 = 5*a - p*a. Let q = -4 + a. What is the least common multiple of 9 and q?
18
Let a(p) = -p**2 + p + 2. Let i be a(2). Suppose i = 3*s - 3*u - 219, -3*s + 0*u = -5*u - 221. Calculate the smallest common multiple of s and 15.
360
Let s = -293/58 - 42/29. Find the common denominator of (27 - 1)*6/(-40) and s.
10
Suppose 42*m - 657 = 519. Let f = -1 - 4. Let s = 11 + f. What is the lowest common multiple of m and s?
84
Calculate the common denominator of -63/400 and 4180/(-6875)*(-1)/(-8).
2000
Suppose -a + 28 = 58. What is the common denominator of -71/14 and (-45)/(-4)*9/a?
56
Let p = 12 + -2. Suppose -3*y - s = -30, 2*y - 4*s = 3*y - p. What is the lowest common multiple of 40 and y?
40
What is the common denominator of 43/2 and (10/25)/(16/(-20))*-93?
2
Let h = 10002 + -210127/21. Calculate the common denominator of -16/231 and h.
231
Let q be ((-1)/1)/(-15 - -16). Find the common denominator of 109/10 and q/4*44/(-16).
80
Suppose -5*f = 3*q - 6, 2*q + 8 = 6*q - f. Let h(d) = 3*d**3 + 2*d**2 - 2*d + 1. Let v be h(1). Let n = v - 3. Calculate the least common multiple of n and q.
2
Suppose 26 = 4*t + 2. Calculate the least common multiple of t and 2/((-3 - 55/(-10)) + 4/(-2)).
12
Suppose 2*l - 82 = -6*p + 2*p, -65 = -5*p + 5*l. What is the common denominator of (p/(-48))/((-18)/388) and -3/20?
60
Let o = 31/264 + -2705/4488. Find the common denominator of -53/6 and o.
204
Let q be 3/(-2) + 13095534/(-4). Let r = q + 422328772/129. Let x = r - 53/86. What is the common denominator of x and -89/4?
12
Suppose 51*z = 4*z + 9306. Calculate the smallest common multiple of z and 88.
792
Let w(n) = n**2 - 12*n + 8. Let o be w(0). Let u(d) = 63*d - 4. Let l be u(4). Calculate the common denominator of 2/(4/l*o) and 3/4.
4
Let y = 29328/5 - 5513. Let a = -351 + y. Find the common denominator of 2/(-14)*(0 - 29) and a.
35
Let m = 16 + -30. Let d(b) = -3*b - 32. Calculate the lowest common multiple of d(m) and 54.
270
Suppose -5*s + 3*d = -59, 0 = -2*d - 6 + 10. Calculate the common denominator of 63/20 and ((-195)/6)/s*61/(-45).
180
Suppose 0 = 2*c + m - 1, 0 = -5*c + 9*c - 2*m - 14. Suppose -c*j = 2*r - 8 - 2, 3*j = 3*r + 9. Calculate the least common multiple of j and 60.
60
Suppose 4*b = -14*w + 15*w, 63 = 5*w + b. Calculate the lowest common multiple of 2 and w.
12
Let q = 55 - 35. Let t = 31 - 5. What is the smallest common multiple of t and q?
260
Suppose 5*w + 302 = -1418. What is the common denominator of -53/9 and ((-16)/192)/((-6)/w)?
9
Let f be (10/4)/(45/36). Suppose b = -3*j + 11, 0 = -3*b - f*j + 9 + 3. What is the least common multiple of (14/5)/(b/5) and 24?
168
What is the least common multiple of (-204)/(-119)*((-98)/(-4) + 0) and 112?
336
Find the common denominator of (-111)/(-9)*2*(-6)/(-28) and -1 + 2 - 70/142.
497
Let o(y) = y**3 + 5*y**2 + 4*y + 5. Let r be o(-3). Suppose -2*f - t = -13, 5*t - r = -0*f - f. Calculate the least common multiple of f and 14.
42
Find the common denominator of -83/8 and (-359)/(-126) - (-14)/63.
56
Let s(p) = p**2 - 3*p - 40. Calculate the least common multiple of s(14) and 12.
228
Let m(b) = 2*b**2 - 24*b - 13. Let t be m(13). Suppose 0 = -7*f + t*f - 348. What is the smallest common multiple of f and 4?
116
Calculate the common denominator of (11/(-24))/((-27)/243) and (-8 - -4)*(-34)/(-176).
88
Let i(v) be the first derivative of 2*v**3 + 6*v - 1/4*v**4 + 9 - 3/2*v**2. What is the smallest common multiple of 6 and i(5)?
48
Let z = -36 + 36. Suppose z = 7*d - 4*d - 69. Calculate the least common multiple of d and 4.
92
Let w = -6 + 33. What is the smallest common multiple of w and 24?
216
Let k(u) = u**3 + 24*u**2 + 76*u - 9. Let g(o) = -o**3 + 4*o**2 + 3*o + 2. What is the lowest common multiple of k(-4) and g(4)?
14
Let i = 652 - 638. What is the least common multiple of 63 and i?
126
Let z be (-4)/(-16) + 675/(-12). Let b be (-14)/z + 162/(-8). Let g = -16 - b. What is the lowest common multiple of 11 and g?
44
Let k = -413/24 + 1709/120. Find the common denominator of k and -31/18.
90
Suppose 18 = 3*o - 9. Suppose 3*y - 30 = -2*y. Calculate the smallest common multiple of o and y.
18
Let x = 1685/2 + -210537/250. Let j = 7699/500 + x. What is the common denominator of -49/170 and j?
340
Let b = -9568/4137 - -9/2758. What is the common denominator of b and -109/48?
336
Let b = 23269/2853 + 21/317. Find the common denominator of b and (320/(-3))/10 + 8.
9
Let h = 554 - 461. What is the smallest common multiple of 39 and h?
1209
Let x = 319 - 557/2. Let z = 3164/5 + -644. Find the common denominator of z and x.
10
Suppose 12*o - 1253 = 13*o. What is the common denominator of o/(-420)*(2 - (6 + -2)) and -32/21?
210
Let a(q) = 121*q**2 + 3*q. Let h be a(3). Let p = -17/2 - -51. Calculate the common denominator of p and ((-1)/(-2))/(45/h).
10
Suppose 54 = 3*m - 2*m. Suppose 16*c = 13*c + m. Calculate the lowest common multiple of 12 and c.
36
Let r = 2828885 - 39560797/14. Let a = 3116 - r. Find the common denominator of a and (-2)/((640/52)/(-4)).
140
Let k be ((-352)/6)/(2/(-6)). Let o = k - 122. Calculate the least common multiple of o and 4.
108
Let c(v) = -v**2 + 27*v + 257. Calculate the smallest common multiple of c(31) and 133.
133
Calculate the common denominator of ((-28)/(-203))/(12/70) and -19/6.
174
Let a = 2237 - 2048. Calculate the lowest common multiple of a and 28.
756
Find the common denominator of -19/7 and 878/84 + 0 + 56/(-196).
42
Let z be (-1046)/14 + (-2)/7. What is the lowest common multiple of 14 and (-3)/(-1 - z/84)?
28
Suppose -9*y = -8*y - 30. Let b = -28 + y. What is the least common multiple of b and 22?
22
Let m = 198269/2842840 - -2/32305. Find the common denominator of 5/8 and m.
616
Let q = -33 + 37. Let s be (6/4)/(q/(-16)). Find the common denominator of (-10)/(-140) + (-4)/s and -3/22.
462
Let a(m) = -11*m**2 - 3*m - 2. Let b(w) = -45*w**2 - 13*w - 9. Let y(s) = -9*a(s) + 2*b(s). Let g = -66 + 68. What is the lowest common multiple of g and y(1)?
10
Let w = 239/195 - -3/52. Find the common denominator of 9/220 and w.
660
Let o = -2949 - -2957. Calculate the lowest common multiple of o and (-43)/(-5) - (-4)/10.
72
Let z(t) = 47*t - 1. Let l be z(-1). Let d be (-118)/l*19716/8. Let k = d - 6054. What is the common denominator of -91/12 and k?
48
Let n = -16856 - -1061890/63. Calculate the common denominator of n and -87/98.
882
Let z = 11/958 - 5960/456487. Let a = -70549/17154 - z. What is the common denominator of 61/26 and a?
234
Let u = -3 + 26. Suppose -u + 2 = -7*b. Calculate the lowest common multiple of 6 and b.
6
Let m = 57 - 33. Calculate the common denominator of 710/m*(-8)/(-40) and -83/8.
24
Let a be 423/(-36) - 2/8. Let v(r) = -r - 14. Let c be v(a). Calculate the common denominator of ((-594)/4)/(-14 - c) and -57/10.
40
Let r = -103 - -145. Let b(k) = -3*k**3 - 5*k**2 - 10*k - 6. Calculate the smallest common multiple of b(-2) and r.
126
Suppose 12 = -4*u, -4*u + 5 = 2*x - 7. What is the lowest common multiple of 20 and (64/x)/(9/27)?
80
Suppose -31 = -3