
42
What is the common denominator of (226/5)/(4 - 0) and (-817)/760 + -21 - -24?
40
Let o be 544/(-10) + 6 - (-4)/10. Find the common denominator of ((-3)/7)/((-140)/637) and (4/(16/(-10)))/(o/78).
80
Suppose 5*n = 123 - 26298. Let k = n - -36828224/7035. Let p = -71131/4690 + k. Find the common denominator of 32/33 and p.
66
Let a = -4637/2220 - -119/111. Calculate the common denominator of a and (2/(-7))/(5/((-140)/432)).
540
Let q(z) = -z**3 + 20*z**2 + z - 19. Let o be q(20). Let s = 23 - o. Suppose -4*l + 2*t = -28, l - t = -2*l + s. What is the least common multiple of 11 and l?
88
Suppose -i = 2*i + 96. Let x = 6 - i. Suppose x + 6 = 2*m. What is the lowest common multiple of m and 12?
132
Let k(y) = -y**2 - 19*y + 4. Let p be k(-19). Suppose 524 - 156 = p*h. What is the common denominator of 27 and -3 - h/16*3?
4
Let j = 16062 + -192875/12. Let u = 5598 + -44847/8. Calculate the common denominator of j and u.
24
Let x = 30 + -25. Suppose -3*v - x = 4. Find the common denominator of (-890)/210 + (-2)/v and -52/7.
7
What is the least common multiple of 30 and (116 - 71)*156/5?
7020
Suppose 7*v = 3*v - 5*g + 152, -4*g = -16. Suppose -288 = 210*t - 222*t. Calculate the lowest common multiple of v and t.
264
Let x be ((-5)/5)/((-5 - 1)/12). Suppose -x*s + 72 = 4*n, 61 = 2*s - 4*n + 21. What is the least common multiple of s and 36?
252
Let l(v) = v**3 - 11*v**2 + 10. Let t be l(11). Let r = t - 1. Let j(f) = -f**2 - 686*f + 4182. What is the least common multiple of j(6) and r?
90
Suppose -5*q + 26 = -24. Let y(b) = b**2 - 6*b + 13. Suppose 2*z + 12 = 6*z. Calculate the least common multiple of q and y(z).
20
Let y = -384649/571324 - -2/10987. Let j be (-4)/(-14) - (-108159)/(-56). Let i = j + 1919. What is the common denominator of i and y?
104
Calculate the common denominator of -137/30 and ((-100770)/(-720))/(315/12) - 5.
630
Let m(p) = 3*p**2 - 7 - p**3 + 11*p + 3 + 0*p**2. Calculate the lowest common multiple of 4 and m(4).
24
Suppose h - 77 = -5*c + 2*h, 0 = -c - h + 13. What is the smallest common multiple of 100 - (-13)/(52/(-48)) and (3 - -1)*c/6?
440
Let d = -2066 + 2082. What is the smallest common multiple of 488 and d?
976
Let f = -112 + 145. Let w(t) = -t**3 - 15*t**2 + 15*t + 40. Let o be w(-16). Calculate the least common multiple of f and ((-8)/14 - 2)/((-6)/o).
264
Let w = -28680433/2856 + -908064/119. Let p = -17679 - w. Find the common denominator of p and 75/2.
24
Suppose -y - 18*y + 18411 = 0. Let v = y - 5785/6. Calculate the common denominator of (46/4)/(1*-2) and v.
12
Let n = -68 + 73. Suppose 0 = 3*x + 6 - 3, 3*x = -n*d + 137. Suppose 0 = g - 3*m - 1 - 15, 3*m + d = 4*g. Calculate the smallest common multiple of g and 2.
4
Let s be (153/6)/(780/(-216)). Let a = s + -9/65. What is the common denominator of a and -45/247?
1235
Let c = 167 - 147. What is the lowest common multiple of c*13/((-195)/(-6)) and 58?
232
Let w be 3 - (27/1)/3. Let p = 2 - w. Suppose 0 = -13*f + 18*f - 10. Calculate the smallest common multiple of p and f.
8
Let m be 147665/(-2)*-2*(-6)/360. Let o = m + 2463. What is the common denominator of -13/90 and o?
180
Suppose -998 + 686 = -4*a. Calculate the least common multiple of 13 and a.
78
Suppose 0 = 14*r - 16*r - 2*z + 6952, -4*r + 13874 = -z. Calculate the smallest common multiple of r and 7.
24290
Suppose -27 - 28 = -5*n. Let i = -547 + 806. Let w = i + -248. Calculate the smallest common multiple of w and n.
11
Let k(l) = l**3 + 24*l**2 + 123*l - 4. Calculate the smallest common multiple of k(-15) and 11.
176
Let k be ((-6)/(-9)*-15)/(-33). Let x = 1961/264 - k. Calculate the common denominator of 355/(-6)*3/(-20) and x.
8
What is the smallest common multiple of 60/(-1 - (-42)/36) and 396?
3960
Suppose -5*h - 1190 = -4*f, 2*h + 931 = -2*h - f. Calculate the common denominator of 105/22 and h/(-16) - ((-30)/5)/(-3).
88
Let c be ((-435)/(-10))/((-6)/(-16)). Calculate the common denominator of c/(-12) + 1 + (-18)/(-12) and -13/30.
30
Let k be 398*31/504 - -1. Let c be ((-17)/(204/(-6498)))/21. Let h = c - k. Find the common denominator of h and 23/14.
252
Let t = -3/1550 - 22001/4650. What is the common denominator of 8/76 - 2399/950 and t?
150
Calculate the common denominator of 158610/18000 - (-4 + 13) and -117/20.
600
Let x(l) = 58*l - 156. What is the least common multiple of 48 and x(3)?
144
Suppose -7*f - 113 = 391. Calculate the common denominator of f/20 - (-1 - 3)/(-12) and -62/3.
15
Let f(a) = -a**2 + a + 12. Let l be f(0). Suppose -l - 20 = -8*m. Suppose -t = 2 - 6. Calculate the lowest common multiple of t and m.
4
Let i(j) = j**2 + 33*j + 144. What is the smallest common multiple of 116 and i(-28)?
116
Suppose -29*n + 36*n - 28 = 0. What is the smallest common multiple of 6 and -12*(-1)/(0 - (-5 + n))?
12
Let q = -3219 + 3230. Calculate the smallest common multiple of q and 1064.
11704
Let r = 2/2045 + -206561/16360. Let n(v) = 223*v + 68. Let t be n(-17). What is the common denominator of r and 2/(-5) + (t/(-560))/17?
112
Find the common denominator of 81/8 and 19 + -33 + (-52900)/(-3816).
3816
Let u be ((-4476)/5)/(-4) + 2/10. Let l = u + -221. Suppose -18 = -2*m + 2. Calculate the smallest common multiple of l and m.
30
Let i = 23215/6 - 3872. What is the common denominator of i and 3/256?
768
Let y = -13883 - -13946. Calculate the smallest common multiple of 420 and y.
1260
Suppose 6*z - 545 = 679. Suppose i - 2*i + 2*c = -8, -16 = -3*i + 4*c. Suppose -13*q + 5*q + 64 = i. What is the smallest common multiple of q and z?
408
Let x = -92351/8 - -11536. Find the common denominator of -187/1920 and x.
1920
Suppose 85*x - 18 = 67*x. What is the common denominator of ((-40)/(-36) - x)*-21 and -46/15?
15
Let o(i) = 2*i**2 + i - 9. Let q(f) = -40*f + 41*f - 6 - 1. Let k be q(4). What is the smallest common multiple of 16 and o(k)?
48
Let t = 48703 + -47485397/975. Let g = -11629/1300 + t. Find the common denominator of g and 266/240 - 2/(-3).
120
Calculate the common denominator of 6*2/(-6288)*-1*(-42)/(-16) and -27/2.
4192
Let o = 24 + -22. Let a be o*-3*(5 + (-44)/8). Suppose -a*h + 25 = 7. Calculate the smallest common multiple of 8 and h.
24
Suppose 262*p - 400 = 252*p. Find the common denominator of -95/18 and (2 + 51/(-27))*(-332)/p.
90
Let c = 152959/14 - 10931. Find the common denominator of 5 - 245/154*1 and c.
154
Find the common denominator of 9/((-1211112)/(-117136)) + (-12)/14 and 133/24.
19224
Suppose -23*t = -9*t + 1568. What is the common denominator of 0 + (3 - t/(-54)) and -47/33?
297
Let a(k) = 9*k + 208. Suppose 3*n - 9*n - 138 = 0. Calculate the least common multiple of a(n) and 24.
24
Find the common denominator of 4/(-10) + (-398)/(-120) and ((-3144)/(-160) - 10) + -7 + 0.
60
Let m(n) = n**2 - 5*n - 38. Let q be m(9). Find the common denominator of 3422/(-240) + q/(-15) + 2 and -137/60.
120
Let r(j) = -102*j + 4. Let n(a) = a**3 + 4*a - 3. Let h be n(1). Let w be r(h). What is the common denominator of (w/9)/5 + 3 and 67/24?
72
Let r be 15 + (-2 + 2)/3. Let b be 3/r*(33 - 8). Suppose -3*k + 7*k + b*f + 98 = 0, k + 21 = -3*f. What is the common denominator of k and 10/19?
19
Let m be (-24)/(-42) + 24/7. Suppose 0 = -3*a - 6*q + q + 43, -m*a + 14 = -2*q. What is the lowest common multiple of 10 and (-24)/(-16)*(a - 0/(-2))?
90
Let c be ((-12)/332)/(4/(-22)). Let a = c - -12121/2490. Find the common denominator of a and 98/(-22)*-1 - 48/12*2.
165
Let s(b) = -b**3 - 7*b**2 - 7*b. Let g(k) = -6*k**3 + 2*k - 2. Let j be g(1). Let v be s(j). Calculate the common denominator of -29/18 and (163/25)/(v/20*-4).
90
Suppose -1652*m - 432 = -1706*m. Calculate the lowest common multiple of 35806 and m.
143224
Let i = -189183453917/23266 - -8131327. Calculate the common denominator of 23/8 and i.
93064
Let k = 145 - 71. Suppose 0 = -133*g - 129*g + 273*g - 242. What is the least common multiple of k and g?
814
Let a = 214439/18 - 11908. Let f be (0 - -91)*(-9)/(-27)*6. Calculate the common denominator of (-4)/(-384)*((1 - 5) + f) and a.
144
Let c = -265/256 + 11771/8960. What is the common denominator of -3/280 and c?
280
Let y(s) = -16*s**2 + 558*s + 581. Let q = -41 - -118. Calculate the least common multiple of y(-1) and q.
77
Let c be (30/35)/((-1)/(-21)). Suppose 