 of h and -89/12.
132
Suppose 3992 + 4596 = 7*w + 1875. What is the smallest common multiple of w and 1507?
10549
Suppose 4*k = 20, 4*k + k = -2*b - 21. Let u(q) = -56*q**2 - q + 30. Let t be u(b). Let f = t - -1005313/34. Find the common denominator of f and 41/12.
204
Let f(z) = -z**2 + 5*z + 3. Let o be f(6). Let x be o/(-7) + 155920/7770. Let p = x - -1/222. What is the common denominator of p and -49/16?
16
Suppose -127*t + 7848 = -15871 - 21620. Calculate the lowest common multiple of t and 952.
2856
Let o = 198257761/696 - 284853. Find the common denominator of 127/1218 and o.
4872
Let u(j) = -j**2 + 34*j + 113. Let q be u(36). Suppose 9*z = -q + 122. What is the smallest common multiple of 2 and z?
18
Let u = 6/7601 + 18123/676489. Find the common denominator of 23/890 and u.
9790
Let b(q) = -17*q - 37. Let g be b(-11). Suppose -147*n - 30 = -g*n. Calculate the least common multiple of (-78)/(-21) - (-4)/14 and n.
20
Let r = -21/281 - -34253/3372. Suppose -30 = 4*h + 18. Calculate the common denominator of 155/(-36) + 7*h/(-378) and r.
12
Let y = -1485147767/28 - -53018983. Let q = y - -22005. Calculate the common denominator of q and 65/42.
84
Let r be (3 - 434/144)/((-81)/(-84612)). Let m = r + 2/243. Calculate the common denominator of m and -77/148.
148
Let s = -6747 - -7739. What is the lowest common multiple of s and 248?
992
Let x(d) = -d**3 + 10*d**2 - 16*d + 7. Let s be (-550)/20*4/(-10). Let n be x(s). Calculate the common denominator of n/(-100) - (-1 - 2) and -63/10.
10
What is the smallest common multiple of (-8 - (-81)/54)*(-774 - 0) and 12?
20124
Let n be -3*14/105 - (-85)/25. Let k be 308/6 + 2/3. Suppose 136 = n*t + k. Calculate the smallest common multiple of 4 and t.
28
Let b = 5532 + -4614. Calculate the smallest common multiple of b and 30.
4590
What is the common denominator of 60/255*(-53)/(-12) and ((-11)/(-2))/(5/6)?
255
Let w = -755196 + 431972231/572. Find the common denominator of -51/220 and w.
2860
Suppose -62 = -5*y + 3*n - 2, 2*n = 5*y - 65. Suppose 45 + 70 = -5*q. Let f = -13 - q. What is the lowest common multiple of y and f?
30
Let s = -268757 + 245106443/912. Calculate the common denominator of 131/570 and s.
4560
Suppose -1315*y + 1430*y - 62914 - 44726 = 0. Calculate the lowest common multiple of y and 1040.
9360
Let s(z) = z**2 + 6*z + 13. Let i be s(-2). Let q(x) = x**2 + 18*x - 110. What is the smallest common multiple of 4 and q(i)?
20
Suppose -69*b - 90 = -78*b. What is the least common multiple of 470 and b?
470
Let y = 14783/20 - 739. Let z be (-2723)/(-3) + 8/6. What is the common denominator of 3/1 + z/(-126) and y?
140
Calculate the smallest common multiple of 219 and (53 - 16 - 21) + -15.
219
Let y = -165 - -170. Suppose -y*c + 972 = -3*c. Calculate the least common multiple of c and 6.
486
Let g be 178/4*(-23908)/378. Let l = -129387239/46116 - g. Let r = l + -1/3416. What is the common denominator of r and -69/8?
8
Let d = -1027 + 3151/3. Find the common denominator of (3892/168 + -29)/(58/4) and d.
87
Let c(w) = 3*w**2 + w - 1. Let h(o) = -9*o - 103. Let g = 194 - 206. What is the smallest common multiple of h(g) and c(-2)?
45
Calculate the common denominator of 2/(-11112)*11*(-4034)/4 + -2 and 123/20.
55560
Suppose 7*s = -8*s - 1740. What is the smallest common multiple of 210/(-49) - -4 - s/14 and 2386?
9544
Let f(d) = d**2 + 4*d - 16. Let v be f(5). Suppose -q = 6*w - w - v, 0 = 3*q - 12. What is the least common multiple of 2 + (-1)/(w/(-15)) and 41?
205
Let s = 7607/485 - 238/15. Find the common denominator of s and 4/93.
9021
What is the common denominator of 1/462 and (-4309)/525 + (-8 - -16)?
11550
Let s = 128 - 54. Suppose 0 = -8*l + 21 - 5. What is the lowest common multiple of l and s?
74
Let j(k) = 21*k + 39. Calculate the least common multiple of 750 and j(1).
1500
Let j = -33 + 81. Suppose -46*w = -j*w + 284. Find the common denominator of (-1)/(80/w) + -43 + 46 and 63/52.
520
Let k = 175931981/858 + -205049. Calculate the common denominator of k and -37/3432.
3432
Let l(j) = 6 - j**2 + 4*j + 15*j - 6*j + 11. Let w be l(14). Let h = w + 4. What is the smallest common multiple of 1 and h?
7
Let m = 104495/37976 - 290/101. What is the common denominator of -91/470 and m?
1880
Suppose -2582 - 10354 = -2*w - 9*w. Calculate the least common multiple of 104 and w.
15288
Let h(m) = -9 + m**3 - 3*m**2 + 4*m - 2*m**2 + m**2 + 13. Let b = -3906 + 3946. What is the lowest common multiple of h(4) and b?
40
Let l = -10107 - -10119. Calculate the lowest common multiple of 922 and l.
5532
Let w = -95 + -106. Find the common denominator of 31/30 and ((-8)/(-432)*w)/(2 - -4).
540
Suppose -55*s + 405 = 228 - 813. Suppose -3*b - 2*j = -38, 3*b + 2*b = j + 59. What is the lowest common multiple of s and b?
36
Suppose 0 = -2*a - 2*m + 26, -10*a + m + 21 = -9*a. Suppose 0 = -53*k + a*k + 360. What is the lowest common multiple of 166 and k?
830
Suppose t - 2*t + 3 = 0, 2*u - 168 = -2*t. Let c = -25915 + 26041. Calculate the smallest common multiple of u and c.
1134
Let n = -4592457991/4660 + 985506. What is the common denominator of n and 3/20?
4660
Let j be 0/(4/(1 - -3)). Let n = 764 - 4597/6. What is the common denominator of 75/(-135) - (j - 1) and n?
18
Let p(o) = 2*o**2 + 2. Let t be (-480)/(-22) + 8/44. Suppose -b = 17 - t. Calculate the least common multiple of p(2) and b.
10
What is the least common multiple of (1 - 3)*17/(272/(-1680)) and 126?
630
Let v be (-46 + 4 - -5) + -3. What is the least common multiple of 63 and (12*4/v)/((-8)/180)?
189
Let u = 69593/10 + -6948. Find the common denominator of u and -43/30.
30
Let k = -44161880925/56854 + 24079275/31. Let j = k + 73/131. Find the common denominator of j and 145/18.
126
Let t(k) = -k**3 + 7*k**2 - k - 17. Let d be 150 - 1/(5/(-25)). What is the least common multiple of t(5) and (d/(-15) + 5)*(-6)/4?
56
Suppose 163*i - 133 + 100 - 130 = 0. What is the least common multiple of (361/11 - -1) + 44/242 and i?
34
Suppose 12 = -4*a + v, v + 12 = -2*v. Suppose 3*d - 36 = d. Calculate the least common multiple of d and (-312)/(-13)*a/(-6).
144
Let p = -82571/112168 + 8/2003. Calculate the common denominator of (2865/105 + -23)*(-63)/(-96) and p.
112
Suppose 8*t + 2788 = 3020. Calculate the smallest common multiple of t and 9.
261
Let r = -958/266479 + -25172156697/69284540. Let s = r - -4690/13. Find the common denominator of s and 31/4 - 2/(-3).
60
Let y = -8881197059/591624 - -1321033/88. Let x = 7/747 - y. Find the common denominator of x and 70/9.
81
Let z = -615709/160 - 114711/32. Let t = 7439 + z. Calculate the common denominator of 83/698 and t.
3490
Let v be -6 - (-102)/18 - (-13)/3. Suppose -2*n + 4*y = 2*y, 0 = -n + 2*y - 2. What is the lowest common multiple of n and ((-416)/(-20))/2 - v/10?
10
Let z(f) = 2*f - 5. Let x be z(5). Let u = 32 - x. What is the lowest common multiple of (9 + -4)*3 - (2 - (8 + -3)) and u?
54
Suppose 4*k + i - 21 = 0, -2*i + 4 = -k - 2. Suppose -k*q - 10*q + 1176 = 0. What is the smallest common multiple of q and 2?
84
Calculate the common denominator of -101/332 and (-54)/(-5148)*481*2/(-72).
21912
Let d(l) = 11*l**2 + 15*l + 10. Calculate the least common multiple of 91 and d(-5).
2730
Let a be (-89 - -28) + (-3)/1. Find the common denominator of (-4 - 0) + (-279)/a and 85/4.
64
Let a be (197/(-591))/((2/30)/1). Calculate the common denominator of 334*(-4)/(-208) + a and -15/104.
104
Let d = -757 - -771. What is the lowest common multiple of 88 and (-14)/4*(-24)/d?
264
Let m be (-3)/(-6)*-2 + 19. Let n = 730 - 1487/2. What is the common denominator of -3 - ((-147)/m - 0) and n?
6
Let p = 36983/20 - 1845. Find the common denominator of p and -113/810.
1620
Let c = 2/343893 + 17309197/14443506. Calculate the common denominator of c and (-2328)/(-32)*4/(-30).
630
Suppose 34 - 6 = -14*d. Find the common denominator of 87/2 and d/(-3) + -5*3991/(-1950).
10
Let x be 3 + (-1 - 0 - -4). Suppose 0 = 3*v + 3*h + x, 0 = v + 4*v - 5*h - 20. What is the least common multiple of v and (3/2)/(3/8)?
4
Let z = 1515 + -1327. Calculate the smallest common multiple of z and 11.
2068
Suppose -3*c + 1844 + 411 = -w, -c = 3*w - 735. What is the smallest common multiple of 120 and c?
3000
Suppose -4*i - 80 = -2*o,