3 + 2) and v.
44
Let d(n) = -n**2 + 7*n + 5. Let k be d(7). Suppose 3*o - 13 = -2*x + 3*x, 0 = -x + k*o - 23. What is the least common multiple of 1 + -3 - (x - 12) and 2?
8
Suppose -5*s = s + 2*s - 4352. What is the lowest common multiple of s and 51?
1632
Suppose -x = -2*d - 1156 - 336, x - 1501 = -d. Suppose 2*w + 276 = -x. Let s = -6186/7 - w. What is the common denominator of 37/10 and s?
70
Let h(g) = -3*g + 16. Let f be h(17). Let r = 10 + f. What is the common denominator of (-15)/r + (-372)/45 and -14/9?
9
Let x be (-1804)/(-18) - ((-8)/18)/(-2). What is the common denominator of ((-2)/x)/((-3)/312) and 30?
25
Suppose -3*z + 4*s - 8 = 40, -4*z = -s + 51. Calculate the common denominator of 89/(-12) - (-3)/z and -65/8.
24
Find the common denominator of -8/51 and (21*(-3)/(-18))/(391/184).
51
Let y = 6915 - 5644. What is the lowest common multiple of 10 and y?
12710
Suppose 0 = t - 3*o, 2*o = 3*t + 6 - 13. Suppose 16 = -5*h + g + 231, h + t*g = 59. What is the lowest common multiple of 32 and h?
352
Let u = 43 - 12. Let s = u + -351. Calculate the smallest common multiple of 3 and s/(-7) + 4/14.
138
Suppose -2*y + 135 = 5*h - y, 2*h + 5*y - 77 = 0. What is the lowest common multiple of 0/(-12) - -2 - -1 and 30/h + (-6)/39?
3
Let c = -1248 - -1264. Suppose -2*v - 66 + 394 = -4*i, 0 = i - 2. Calculate the lowest common multiple of c and v.
336
Calculate the common denominator of 103/972 and 35207/3672 + -10 + 2 + -2.
1944
Let j be 21/2 + (-2)/4. Let d(o) = o**3 - 10*o**2 - o + 23. Let v be d(j). Let f(a) = -5*a + 71. Calculate the smallest common multiple of 27 and f(v).
54
Let n(x) = 86*x + 1896. Calculate the smallest common multiple of 108 and n(-18).
3132
Let s be 15144961/(-117)*(-2)/10. Let p = -25887 + s. Find the common denominator of p and 9/50.
450
Suppose 0 = 14*i - 11*i - 15. Suppose -i*z = -4*v - 13, 2*z - 3*z - 1 = v. Calculate the common denominator of (v/(-9))/((-60)/1341) and 101/12.
60
Let s be 75/35 - (-7)/(-49). Suppose 4*i + 8 = -4*p, -s*p = -5*i + p + 22. Suppose 0 = -4*g + 26 - 10. What is the lowest common multiple of g and i?
4
Suppose 3*q + 2*l = 4*q + 1181, -5*q + 5*l = 5880. Let s = 25651/22 + q. Find the common denominator of s and -119/18.
198
Let t(a) = a**3 - 15*a**2 - 2*a + 16. Let b be t(15). Let r be 9/(-21) + (51528/b - 2). Let v = -88459/24 - r. Find the common denominator of 41/12 and v.
24
Suppose 33*g = 3*j + 32*g - 521, -4*j - g = -697. What is the lowest common multiple of 609 and j?
1218
Suppose -4*x - 2*p + 3995 = -415, -2196 = -2*x - 4*p. Calculate the smallest common multiple of 3680 and x.
11040
Suppose -4*b - 95 = 5*p - 2748, 0 = 4*b + 4*p - 2652. Calculate the least common multiple of 10 and b.
3310
Suppose 8*f - 14*f = -600. Let i = -94 + f. Let n(k) = -k**2 + 5*k + 20. What is the smallest common multiple of n(i) and 22?
154
Let r(a) = 2*a - 2. Suppose 5*j + 0*j + 81 = -z, -5*j + 5*z = 75. Let c be (j/(-28))/((10/(-7))/(-5)). What is the lowest common multiple of r(c) and 2?
2
Let j(q) be the second derivative of 5*q**4/2 - 8*q**3/3 + q**2 - 79*q - 1. What is the lowest common multiple of j(2) and 108?
540
Let i = 20/1749 + -11921/5830. Calculate the common denominator of -2/35 and i.
210
Suppose -7*j + 316 = 4*g - 2*g, 0 = -2*j - 3*g + 83. Calculate the smallest common multiple of 38 and j.
874
Suppose 3*o = 3*k - 2760, 2*k - 7*k - o + 4594 = 0. Let q be (-4)/5 - k/(-70). Let i = 148/35 - q. What is the common denominator of i and 43?
10
Find the common denominator of 31/12 and ((250/(-20))/1)/(153*6/8).
1836
Suppose -4*s + 3*k = -908, 2*k - 5*k = -2*s + 460. Let f = s + -200. Calculate the least common multiple of 6 and f.
24
Let b be -3*(-1 + 3)/(-2). Suppose -g + 60 = y, -b*y + 0*y + 122 = 2*g. What is the least common multiple of g and 40/(-740) - 1560/(-111)?
406
Let l = 715791/140 + -5113. Let f = -6765 + 757695/112. Find the common denominator of l and f.
560
Let c be (-8)/12*(13 - -5). Let w = c - -16. What is the least common multiple of w and 40?
40
Let g = -1751/4 - -435. Calculate the common denominator of g and ((-6)/48*-218)/(66/12 + -4).
12
Suppose 0 = -19*f + 21*f - 4. Suppose -4*x + 3*m - 108 - 55 = 0, 81 = -f*x + m. What is the least common multiple of 7 and ((-18)/15)/(6/x)?
56
Let b = -64/1771 + 176779/138138. Calculate the common denominator of b and 89/4.
156
Let h = 22405319/224 + -100024. Calculate the common denominator of h and -31/32.
224
Let k = -17423/72 - -242. Let c = 301/87 - 27/290. Calculate the common denominator of c and k.
360
Suppose 280*g + 528 = 302*g. What is the lowest common multiple of g and 798?
3192
Suppose -9 + 3 = -2*t. Let u = -1/116 - -209/696. Find the common denominator of (-128*t/45)/(-6) and u.
360
Let p be (5 + 15/6)*4. Let h(u) = 4*u**2 - 2*u. Let g be h(2). Let b = p - g. Calculate the least common multiple of b and 4.
36
Suppose 3389*l - 3406*l = -748. What is the least common multiple of l and 63?
2772
What is the common denominator of -85/138 and (-12 - (-478)/40)/(368/290)*-2?
1104
What is the lowest common multiple of (-2*1)/((68/(-32))/17) and (-2)/5 + 186/15?
48
Suppose 106 = 4*g + 4*s - 570, 662 = 4*g - 3*s. Let a = 197 - g. What is the least common multiple of a and 100?
300
Let o = -53396 + 53411. Let m(b) = 14*b - 1. Let t be m(-1). Let s = t + 33. What is the least common multiple of s and o?
90
Let q be (-43650)/12*2/(-12). Let d = 21883/36 - q. Let v = 27/83 - 2503/1826. What is the common denominator of v and d?
198
Let x = 67 - 54. Suppose q + x = -3*q - 3*j, 0 = 4*q - 4*j + 20. What is the common denominator of -48/11 and 178/q*(-2)/(-4)?
44
Calculate the least common multiple of ((-294)/20 - 1/(-5))*(-10 + -18) and 14.
406
Calculate the common denominator of -29/3 and 6 - (1265475/207756 + 1*2/(-29)).
2388
Let z = 135549/22 + -6161. Find the common denominator of z and 25/1112.
12232
Let m(u) = 109*u**2 + 4*u - 3. Let c be m(1). Let p = c - 91. Find the common denominator of 69/(-92)*p/(-3) and -47/28.
28
Let m be (-196)/112 + (-2836407)/180. Let q = m - -15762. Find the common denominator of (52/10)/((-66)/10) and q.
330
Let q be 1 + -1 - (12 + -14). Suppose 5*s = -2*x + 4*x - 1989, 0 = x - 4*s - 999. What is the common denominator of 23/5 and q/(-6) + 1 + (-931)/x?
235
Let t = -9 + 23. Let j be -1 - (-1 + 1 - 5). Suppose 0 = -17*b + j*b + 286. What is the lowest common multiple of b and t?
154
Let w = -2190533/65 + 33701. Find the common denominator of 77/60 and w.
780
Let m(p) = p**2 + 1. Let n be 5/(-10)*82 - -1. Let f = n + 43. What is the least common multiple of 9 and m(f)?
90
Suppose 3*n - 2*i = -5*i + 45, 4*n = 4*i + 68. Let z(b) = 2 - 13*b**2 + 9*b**3 - 6*b - 10*b**3 + 2*b. Calculate the least common multiple of n and z(-13).
432
Suppose 3*z - 4*p - 127 = 0, -1687*z + 3*p = -1691*z + 86. Let t = 29 - 19. What is the lowest common multiple of z and t?
290
Let i = -313 - -337. Let v = i + -14. What is the least common multiple of 74 and v?
370
Let t(q) = 2*q + 20. Let y be t(-8). Suppose y*i - 6*i = -11138. Let z = -83584/15 + i. Find the common denominator of z and 46/33.
165
Suppose 9504 = 35*a + 9*a. Suppose -3*s + y = -s - 5, 5*s + 3*y = -15. Suppose s = -f + 7*f - a. Calculate the smallest common multiple of f and 12.
36
Suppose -2 = -7*p - 128. Let c be 2/(132/(-346)) + 9/p. Let n = -17/6 - c. Find the common denominator of 57/10 and n.
110
Let j = 88 - 60. Find the common denominator of 9*(-22)/(-891) - (1108/612 + -4) and (1 + -2)*(-4)/j.
119
Let h = -357314/9 + 3573701/90. Let o = -60327/34 + 5320/3. Calculate the common denominator of h and o.
510
Suppose 3*d - 18 + 12 = 0, -s - 131 = d. Let j = s + 244. What is the least common multiple of j and 42?
1554
Calculate the smallest common multiple of 263216/88 - -24 - (-4)/(-44) and 11.
33165
Suppose -72 = -3*l - l. Suppose -p - 5*w - l = 0, -2*p - 32 = p + 4*w. Find the common denominator of (p - -11)*-10*(-11)/(-18) and 79/12.
12
Let r = 133 - 125. Find the common denominator of ((-169)/52)/(14/r) and 37/84.
84
Let m(p) = -3*p**2 + 14*p + 13. Suppose 36 = 4*y - 4*t, 3*y + 2*t - 9 = -2. What is the smallest common multiple of 24 and m(y)?
24
Suppose -2*z = -4*x - 164, 5*z - 17*x = -13*x + 446. Calculate the lowest common multiple of z and 39.
3