 What is the lowest common multiple of w and 9?
63
Let w be 10597/3533 - ((-81)/(-9))/3. Let f = w + -197830/31797. Calculate the common denominator of 4/181 and f.
1629
Let r be (-4)/(-10) - (-2268)/30. Let b = 6307 - 113609/18. What is the common denominator of b and (r + 1)*(-2)/24?
36
Let a(g) be the third derivative of 13*g**6/60 - g**5/15 - 5*g**2. Let n be a(-3). Find the common denominator of n/20*4/(-12) and 3/10.
10
Suppose -z - 20 = -5*z. Suppose 0 = z*b + 143 - 808. Suppose -b = -5*m + 2*t, m + 2*m - 4*t = 77. What is the least common multiple of 15 and m?
135
Let v be 13/5 + 12/(-20). Suppose -26 = 3*g - 7*g + v*n, 0 = g + 3*n + 11. Let x = 300 - 280. Calculate the least common multiple of g and x.
20
Let s = -34 - -42. Let h be (3 + 0 - 2) + 91. Let m = 112 - h. Calculate the least common multiple of m and s.
40
Calculate the common denominator of -11 + -13 + 19 - -10 - 8887/1771 and 151/1610.
17710
Let v = 67 + -35. Suppose -3*y = 83 - 29. Let g = y + v. What is the smallest common multiple of g and 42?
42
Let x be -3 - -10739*(54/(-14) - -4). Let w = -386639/252 + x. Calculate the common denominator of w and 49/18.
36
Let m = 7642 - 7458. What is the lowest common multiple of 92 and m?
184
Let x(o) = 7*o**2 + 9*o + 20. Let y be x(-11). Let j = y + -2623. Let a = j - -33379/18. What is the common denominator of -109/66 and a?
198
Let g be -3 + (15/54)/((-2)/33368). Let l = g - -4632. Find the common denominator of 1/(-2)*(0 - 372/(-8)) and l.
36
Let p = 2341658/1157985 - -1/25733. What is the common denominator of -103/4700 and p?
42300
Suppose 0 = -5*q - i - 34, -3*i - 24 + 6 = q. Let s = -1933/116 - 17/29. What is the common denominator of s and -1 + (-30)/(-16) - 2/q?
24
Let h = 8 + -15. Let z = -1374 + 24697/18. What is the common denominator of 582/28 - (-2)/h and z?
18
Let l = 602 - 356. What is the common denominator of 85/12 and ((l/9)/((-4)/(-3)))/80?
480
Let d(t) = t**2 - 17*t + 67. Let z be d(-39). Let y = -81029/36 + z. What is the common denominator of y and 7/40?
360
Suppose -m = 8 - 0. Let g be (6 + m - (-1 - -1)) + 2. What is the least common multiple of g - 2 - 40/(-10) and 44?
44
Let b be -4 - (7045/1420 + -4). Let j = -26/213 + b. What is the common denominator of j and 26/5?
60
Let k(w) = 58*w**2 - 15*w - 4. Let o be k(-6). Let i = -1274 + o. Calculate the lowest common multiple of 6 and (((-2)/(-6))/1)/(20/i).
30
What is the smallest common multiple of (1 - 70/15) + 5 + (-4825)/(-15) and 10?
3230
Let c(r) = -r**3 + 6*r**2 - 8*r + 12. Let i be c(6). What is the common denominator of ((-2002)/i)/11*3/2 and 2 + 1 + 4 + (-1638)/212?
636
Let h(q) = 3*q**3 - 156*q**2 - 156*q - 49. What is the lowest common multiple of 1749 and h(53)?
17490
Let h = 7682 + -7667. Suppose 10 = -2*n + 3*n. What is the common denominator of -127/12 and ((-402)/108)/(n/h)?
12
What is the common denominator of 2/(-13)*1 + 14650/(-1950) and 308/(-30) + (-4)/(-6)?
15
Let o be (-1)/4 - 423/36. Find the common denominator of 47/3 and o/(-21) + 2/(140/(-243)).
30
Let i(d) = -7*d + 5 + 11 + 63. Let s be i(18). Let r = -43 - s. What is the least common multiple of r and 20?
20
Let p = 1/315330 - 172391/3342498. Find the common denominator of p and 88/1113.
5565
Let x = -190142/51 + 3728. Let s = 2717/16 + -42251/240. Calculate the common denominator of x and s.
510
Let o be (-291)/(-6) + (-9)/(-6). Suppose 193 = 2*d - b + o, -4*b = 2*d - 168. Calculate the least common multiple of d and 146/10 - 3/5.
518
Let o = -3012/1127 + 84/23. Let m = -4/19639 + -726335/1512203. Calculate the common denominator of m and o.
539
Suppose -1620 = 11*a + 7*a. Calculate the common denominator of 2*6/a - (-293)/(-90) and -41/33.
198
Let h = -398392/14301 - -1/2043. Let o = h + 321/14. Calculate the common denominator of o and -41/78.
546
What is the lowest common multiple of (-4)/6 - 390/(-18) and (4/(-18))/(10/15)*297/(-3)?
231
Let u = 641 + -651. Find the common denominator of 129/70 and -3 - u*23/91.
910
Calculate the lowest common multiple of 28 and (-20)/6*(-224)/280*273.
728
Let l = 17592/41 - 8405901/19598. Calculate the common denominator of 75/14 and l.
3346
Let w be ((-4)/112)/(-2 + 3644/32). Let l = 17548/18795 + w. Find the common denominator of l and 6/(-4) + 206/24.
60
Suppose -6 = -2*w + 4*o, -8 = 3*w + 4*o + 3. What is the common denominator of -2 - (-2 + (-189)/(-60)) and (-5)/(100/154) - w*2?
20
Calculate the common denominator of 3/18*(-1 + (-1742)/455) and 113/112.
1680
Suppose 1029 = -6*t + t + 54*t. Calculate the least common multiple of 103 and t.
2163
Let v = -2/11761 - -1752449/352830. Let u = -21774 - -762019/35. What is the common denominator of v and u?
210
Suppose -35*q = -1810 - 1200. Calculate the lowest common multiple of 8 - 5 - (0 + -4) and q.
602
Let c be (-1)/((1 - 0)*(-3)/24). Suppose 0 = 2*w - 4 + c, 3*w = r - 27. Find the common denominator of -3/26 and 46/12 - r/(-7).
78
Let v(a) be the third derivative of -239*a**4/12 + 20*a**3/3 + 37*a**2. Let l be v(18). Let q = l - -68603/8. What is the common denominator of -93/2 and q?
8
Let k = 8620 - 8360. Calculate the lowest common multiple of k and 4.
260
Let u(w) = 26*w + 46*w**2 + 42*w**2 - 87*w**2 + 29 - 102. What is the least common multiple of u(-29) and 212?
1484
Suppose -85*r = -83*r + 10. What is the lowest common multiple of ((3 + r)*-6)/(4/14) and 6 + (-5)/1 + 5?
42
What is the common denominator of -181/30 and 6 + -5 + (-11354)/10920?
780
Let b(g) = 11*g**2 + 411*g + 160. Calculate the least common multiple of (-1 + -9)/5 + 35 + -1 and b(-37).
96
Suppose 0 = 4*v - 2*n - 50, -3*n + n + 40 = 5*v. Let z = -8 + v. Suppose -r = z*q - 10 - 13, 2*r = 5*q - 35. Calculate the smallest common multiple of q and 3.
9
Let m = 574/1783 + -1269075/3737168. What is the common denominator of m and -99/28?
14672
Suppose 0 = -30*t + 22*t + 2627 + 6061. Calculate the smallest common multiple of 22 and t.
11946
Let n = 242601950 + -2186128085/9. Let g = -302582 - n. Let m = -1414 - g. Find the common denominator of m and 137/18.
18
Let i = 1410/7 + -7403/42. Find the common denominator of i and 53/(-27)*2/6.
162
Let o = -168553 + 142427323/845. What is the common denominator of o and -61/715?
9295
Suppose 1 = 3*m + 2*t, 2*t = 5*m + 4*t + 5. Let l(f) = -66*f - 6. Let h be l(-5). What is the common denominator of 36 and 57/h + m/12?
27
Let y = -2992 + 3070. What is the least common multiple of 54 and y?
702
Suppose 0 = 5*f + 4*l - 3312, 251*f - 254*f - 4*l = -1992. Calculate the smallest common multiple of f and 8.
1320
Let b(y) = 14*y - 64. Let q(t) = 12*t - 65. Let w(l) = -3*b(l) + 4*q(l). What is the least common multiple of w(14) and 4?
16
Let x(z) = 15*z**3 + z - 1. Let f = -827 - -843. Suppose -5*p + f = -59. Calculate the lowest common multiple of x(1) and p.
15
Let u = 2787 - 2707. Calculate the smallest common multiple of 112 and u.
560
Let g = -4016 + 4066. What is the lowest common multiple of 6 and g?
150
Let y = 57 + -12. Suppose 0*w - 5*p + 3 = 2*w, -3*w + 3*p = -57. What is the smallest common multiple of (36/(-10))/((-9)/y) and w?
126
Let q = 73 + 29. Calculate the common denominator of -67/4 and (194/56)/(q/204).
28
Let q be (64/96)/(4/18). Suppose 4*y + v = 37, -29 = -q*y - 5*v + 3*v. What is the lowest common multiple of 4 and y?
36
Suppose 5 = -2*p + x, 13*p - 12*p + 5*x - 47 = 0. Let t(g) = -12*g - 2. Calculate the lowest common multiple of t(-4) and p.
46
Let y(w) = -9*w - 36. Let j(z) = z**2 - 21*z - 5. Let r be j(21). Suppose -3*c - 3 = -4*c. Calculate the least common multiple of y(r) and c.
9
Find the common denominator of 89/20 and (-729)/(-114)*16/(-336).
2660
Let c be 5*(-15 - -6 - -8). What is the least common multiple of 87 + 4*(42/(-8) - c) and 11?
946
Let l(h) = -14*h - 530. What is the smallest common multiple of 384 and l(-43)?
1152
Let b be (-170)/5 + (0 + 0)/(-2). What is the common denominator of -1 + (b/24)/(2/10) and 210/44 + (-5 - 0/3)?
132
Let r = 7 + -2. Suppose 2*u - r = -3*u, 0 = p + u - 22. Calculate the lowest common multiple of (39/(-18) - -2) + 748/24 + 2 and p.
231
Suppose 0 = 5*k - 5*s + 480, 31 = -k + 4*s - 53. Let t = 134 + k. Let z = 1 + 1. What is the least common multiple of z and t?
34
Let q(o) = -2*o**2 + 8*o - 3. Let j be q(4). 