= m*y. Suppose 7*q - 45 = y*q. Calculate the smallest common multiple of 12 and q.
36
Suppose -20*a + 11*a + 16*a = 0. Suppose -5*k + 29 + 6 = a. Calculate the smallest common multiple of 32 and k.
224
Let o = -429/16 + 3935/176. Calculate the common denominator of o and (-24)/28 + -3*6/144*6.
308
Suppose 8*r - 9*r = 108. Let d = -111 - r. What is the common denominator of -109/10 and (-1 - (d - 2)) + (-1240)/(-279)?
90
Suppose 0 = -3*r + 2*j - 8, 3*j - 12 = 3*r - 7*r. What is the smallest common multiple of 50 and 2 - (-1 - 42 - r)?
450
Let l = 257 - 156. Let g = -80 + l. What is the smallest common multiple of g and 7?
21
Let j = -2700052266/1127 + 193334597547415/80697708. Let a = -1/77112 + j. Calculate the common denominator of a and 58/7.
728
Let m = -1478/231 - -137/42. Calculate the common denominator of (-15 + 3 + (-5096)/(-325))/((-2)/5) and m.
110
Let q be 7 - -1*(-9 + 2). Suppose q = -o - 272 + 332. Calculate the lowest common multiple of o and 20.
60
Suppose 0 = 5*x + 15, -845*x = -2*t - 844*x + 1023. What is the least common multiple of t and 2856?
14280
Let i = -1109020 + 9981113/9. What is the common denominator of (-4)/(-6) - (-11)/(-9) and i?
9
Suppose 3*f - 1089 + 60 = 0. Let t = -293 + f. What is the lowest common multiple of 85 and t?
850
Suppose -74*r - 156*r = 90*r - 131200. What is the smallest common multiple of 205 and r?
410
Let r = -235202773/167972 + -5/41993. Let y = -1410 - r. What is the common denominator of -69/4 and y?
4
Suppose -4*f + 4*t = -795 - 50061, -f - 3*t = -12730. Let a = f + -1030142/81. What is the common denominator of a and 145/6?
162
Let c = -1136/1219 + 77857836/13409. Suppose -4*x - 29044 = x + 3*i, -3*i = x + 5804. Let q = x + c. Calculate the common denominator of 17/12 and q.
132
Let i = 122646/17 + -801471/85. Let s = 123131239603/170 - 724303626. Let y = s - i. Calculate the common denominator of y and -149/12.
204
Suppose -r = 7 - 19. Suppose -5 = -5*z, 6*z + r = a + 4*z. Calculate the lowest common multiple of a and 6.
42
Let q = 947 - -1318. Let k = q + -54301/24. Find the common denominator of k and (-394)/(-24) + 4/(-16).
24
Let l(x) = -3*x**3 + 2*x**2 + x - 2. Let f be l(1). Let r = -3 - -14. Calculate the least common multiple of ((-5)/1 + -13)*f/4 and r.
99
Suppose 3802 + 39920 = -74*w + 428744. What is the smallest common multiple of w and 4257?
46827
Let c be 2*9/(-15)*(-31 + 1). Suppose 0 = -c*x + 33*x + 18. Calculate the common denominator of x and (-8)/(-2) + (-60)/8.
2
Suppose -3*t + 762 = -2*k, -285*t + 4*k - 744 = -288*t. Calculate the smallest common multiple of 66 and t.
2772
Suppose -6*y + 17000 = 79*y. Calculate the smallest common multiple of y and 140.
1400
Suppose -8*k + 2*k + 22572 = 16*k. Calculate the smallest common multiple of 6 and k.
1026
Suppose -3*m + 690 + 831 = 0. Let j = m - 1073/2. What is the common denominator of 3/15*1515/(-36) and j?
12
Calculate the lowest common multiple of 1 and (1080/(-48) + 21)/((-1)/726).
1089
Suppose -2*k + 0*k + 60 = 0. Calculate the lowest common multiple of k and 1*35 + 49 + -44.
120
Calculate the common denominator of -2 + (-7269)/(-3360) + (-23)/115 and 115/112.
1120
Let y be ((-1)/(-1386))/(218674/(-72858) + 3). Let w = y - -230/231. What is the common denominator of w and -39/10?
100
Let u be 1647856/523107 - (8 + -2)/2. Let t = -5/8942 + u. Calculate the common denominator of 125/12 and t.
468
Let d be 1/5 + ((-297857)/2205)/17. Let t = -1/252 + d. What is the common denominator of t and -37/8?
8
Let s = 5129658677/2800 + -1832021. Calculate the common denominator of s and 69/140.
2800
Find the common denominator of (-109135)/(-60420) + -2 - ((-74)/12 + 6) and -65/4.
4028
Suppose -6*c = -4*c. Suppose c = 2*j - 6*j + 64. Suppose -175 - 135 = -5*y. Calculate the least common multiple of y and j.
496
Let i = -183 + 185. Suppose 0 = -6*p + 3*p + 6, 2*x = -i*p + 8. Calculate the smallest common multiple of x and 2.
2
Find the common denominator of -101/270 and (254/36 + -7)/54*(275 + -1).
2430
Let x = 62630/13 + -4815. Let j(r) = r**3 - 36*r**2 - 117*r + 7. Let q be j(39). What is the common denominator of x and 5/q + -1 - 24531/(-6993)?
117
Let j(c) be the second derivative of 5*c**3/6 - 17*c**2 - 19*c. Let u(w) = -5*w + 58. What is the lowest common multiple of j(10) and u(8)?
144
Suppose -52*r = -71*r + 24187. Calculate the common denominator of ((-3)/(-30))/(38/r) and 56/15.
60
Calculate the common denominator of 34/961 and ((6/(-4))/((-50)/(-140)))/((-1116)/(-45)).
3844
Let y = -37938 + 37962. Calculate the lowest common multiple of y and 84.
168
Calculate the common denominator of 19/48 and (12/(-354))/((-512)/4544).
2832
Calculate the lowest common multiple of 1644/8 - 3 - (-12 + (-152)/(-16)) and 41.
205
Let i be 1*2 - (138226/(-27643) - -7). Let a = -2563/3231 - i. Calculate the common denominator of 59/9 and a.
63
Suppose -770 = -3*n + 4*w + 268, -5*w + 1800 = 5*n. What is the lowest common multiple of n and 177?
354
Suppose 10213 = 136*t - 3115. Suppose 4*c = -4*p + 44, -4*p - 5*c + 9 = -36. Calculate the smallest common multiple of p and t.
490
Let v be (636662/416)/((-4014)/(-20)). Let d = -1/2007 + v. Calculate the common denominator of d and -65/6.
24
Let c = 6 - 11. Let p = -5242/21 + 130042/525. Calculate the common denominator of p and (-2)/c - (-148)/5.
25
Let v = 52954/36505 - 72/49. Find the common denominator of -97/1192 and v.
5960
Let h(q) = q - 33. Let c = 283 + -244. Let w(s) = 25*s. What is the lowest common multiple of w(2) and h(c)?
150
Let o be (-9)/(2*3/(-40)) - 8. Let f = 745 + -485. What is the common denominator of 27/2 and (-8)/o + -2638*1/f?
10
Let a = 57467/4 + -5172173/360. What is the common denominator of a and 109/540?
1080
Let r be (-768387)/352728 + (0 - -2) + -1. Let c = r + -7/3266. Calculate the common denominator of -65/18 and c.
72
Let u = -201 - -201. Calculate the common denominator of -6 + u - -10 - (-55)/2 and 59/24.
24
What is the common denominator of 3844/(-46376)*4/24 and -7/612?
6732
Let a = 7347 - 14755/2. Calculate the common denominator of a and -23/2788.
2788
Let j = -262547/40 - -6565. Calculate the common denominator of j and 9/472.
2360
Let x be 7 + -3 - (-2648562)/(-662229). Let q = -1396066945/27372132 + x. Let a = -625/12 - q. Find the common denominator of a and 65/8.
248
Let y = 992491/507510 - 3/56390. Let a = -19/5 + 29/10. Find the common denominator of a and y.
90
Suppose -5*l - 3*g - 44 - 66 = 0, 88 = -4*l + 5*g. Calculate the common denominator of l and (-1276)/442 + 3 + 3 + -3.
221
Suppose 5*x = -5*p + 1220, 2*x - 412 = 3*p + 81. Calculate the smallest common multiple of x and 931.
4655
Suppose -22*o + 88 = -21*o - 5*c, -2*o + 80 = 2*c. Calculate the smallest common multiple of 1842 and o.
14736
Let v = -2692481 + 16114489/6. Let j = v + 6756. Calculate the common denominator of j and 87/8.
24
Calculate the least common multiple of 12 and (-9 + 1 - 11)*-62.
7068
Suppose 2*d + 651 = -19*d. Let k = 261/5 + -52. Find the common denominator of 79/117 + d/31 and k.
585
Let q = -181171/435746 - 1/57335. Calculate the common denominator of q and 109/120.
2280
Suppose -75*k + 78*k = 5*n + 33, 0 = -5*k - 3*n - 13. Let z be (-17)/3 + 1/(-3). Find the common denominator of -73/18 and 2/z*k*(-91)/6.
18
Suppose -2*f + 46 = 3*i, 0*f - f - 2*i + 25 = 0. Let v = 489 - 483. Suppose 67 = v*l - f. What is the lowest common multiple of 8 and l?
56
Let b(j) = -64*j**3 + 1. Let g be b(-1). Suppose g = 3*d - 205. Suppose -3*k = 5*q - k - d, 0 = -4*k. Calculate the least common multiple of 18 and q.
18
Let y = 18088 - 17913. Calculate the lowest common multiple of 275 and y.
1925
Let c = 143 - 91. Let i = -1375 - -1345. Let f = c + i. Calculate the smallest common multiple of f and 22.
22
Suppose 2415 + 1277 = -5*h + j, h = 3*j - 744. Find the common denominator of 73/4 and (284/h)/((-8)/(-3)).
492
Let v(x) = -2*x**2 - 238*x - 1138. Calculate the lowest common multiple of v(-114) and 347.
694
Find the common denominator of 137/5124 and (-6)/(-72)*41/(-122)*2/4.
20496
Let o(y) = -y + 35. Suppose 12*q - 80 = 20*q. What is the least common multiple of 27 and o(q)?
135
Suppose 4*i - 78 = -2*v + 20, -4*i + 4*v + 92 = 0. Let r = -18 + i. Calculate the smallest common mult