20
Suppose -35*q + 5*w = -35*q - 20, 200 = 3*q + 4*w. Let r = 116 + 28. Calculate the smallest common multiple of r and q.
144
Find the common denominator of ((-608)/(-176))/(-19) + (-933)/616 and 43/231.
1848
Suppose 8 = -2*r - w, 4*r - 3*w + 16 + 20 = 0. Let s be (54/(-205))/(r/510) - 3. Let a = 33891/1640 - s. Find the common denominator of 87/8 and a.
40
Suppose -7*u + 540 = 2080. Let r = 248 + u. Calculate the lowest common multiple of 140 and r.
140
Let t = -4853 + 4888. What is the least common multiple of 903 and t?
4515
Let i = 196 + -122. What is the lowest common multiple of 24 and (-4)/6 + i*4/12?
24
Find the common denominator of (-10)/(-25) + 0 + (-1)/(280/(-148)) and 29/23.
322
Suppose 2*a - 2*s - 60 = -2*a, -62 = -4*a + 3*s. Calculate the lowest common multiple of ((-56)/(-7))/(7/a) and 12.
48
Suppose -4*d - 30 = 2*h, -2*d = 3*h + h + 42. Calculate the lowest common multiple of 1/4 + 172/16 and (-1)/((-3)/h) + (-3 - -11).
55
Let o = 16863 - 421532/25. What is the common denominator of 2 - 3/(45/(-11)) and o?
75
Let l = -10079 - -201503/20. Let p = 254533/28 - 9088. What is the common denominator of l and p?
140
Let t be (-1 + 2)/((-102)/(-79883)). Let h = -785 + t. Find the common denominator of h and 63/8.
24
Let t = -2245/14 - -965/7. Find the common denominator of t and 17/5226.
5226
Let w = -41369 - -3971533/96. Calculate the common denominator of w and 31/1088.
3264
Let t = 10538 - 263512/25. Find the common denominator of 179/150 and t.
150
Let y(v) = -11*v**2 - 76*v - 1. Let k be y(-7). Let z = k - 63/4. Find the common denominator of z and 1/(-87)*45/2.
116
Suppose 64959*u = 64955*u + 2156. Calculate the smallest common multiple of u and 5.
2695
Suppose -3515 = 71*d - 237*d - 1191. What is the lowest common multiple of d and (28/1)/(1/5)?
140
Let i = -97 + 58. Let p = 2660 + -2703. Let g = i - p. What is the smallest common multiple of g and 26?
52
Let n = -5630 + 5637. Let a be -38*(-2)/16*-4. Let l = a + 36. Calculate the lowest common multiple of l and n.
119
Calculate the common denominator of 5 + (6880645/32040)/(-43) and -59/4.
6408
Let u = 179465/28486 - 8/71215. Let h(s) = -s**2 - s - 5691. Let a be h(0). Let w = -45625/8 - a. Calculate the common denominator of w and u.
40
Let n = 15046979/90 + -167187. What is the common denominator of n and 99/82?
3690
Let k be 679302/783 + (2/6 - 1). Let f = -867 + k. Find the common denominator of 19/6 and f.
174
Suppose -11*m - 1078 = -18*m. Let q = m - 146. Let d = -6 - -26. What is the lowest common multiple of q and d?
40
Suppose -146 = 10*w + 1654. Let t = w - -235. Calculate the smallest common multiple of t and 45.
495
What is the lowest common multiple of 460 and 135282/210 + (-2)/10?
3220
Let t(f) = -11*f**3 + 89*f**2 + 9*f - 10. What is the least common multiple of 462 and t(8)?
1386
Let l(o) = 4*o + 36. Let h be l(-13). Let n(t) = 2*t**2 + 34*t + 29. Let m be n(h). What is the common denominator of (1045/(-250) - m) + 6/10 and -81/20?
100
Let b(u) = 5*u - 43. Calculate the least common multiple of b(9) and ((-36)/27)/((-10)/135).
18
Let r be 2/(-12)*(10/2)/(-4785). Let g = r - 57901/14355. Calculate the common denominator of g and ((-149)/15 - -3) + 2.
30
Let p(q) = -q**3 - 53*q**2 - 88*q + 722. Calculate the lowest common multiple of 208 and p(-51).
208
Let h be (-28)/20 - (-8)/20. Find the common denominator of 40/7 and 99/(-42) + h/2*-2.
14
Let h(a) = 2*a**2 - 14*a + 24. Let b = -173 + 180. Suppose 2*x - 8 = 0, 2*j + 0*j + 5*x - 26 = 0. What is the smallest common multiple of j and h(b)?
24
Find the common denominator of -29/225 and ((-1395)/(-1000))/(-3*(5 + -4)).
1800
Let n = -203/103 - -44465/18746. Let o = 2684119/640976 + -2/40061. Calculate the common denominator of n and o.
1456
Suppose 0 = 3*s - o - 59, -2*s = -2*o - 36 - 10. Calculate the smallest common multiple of (-298)/(-447) + 104/6 and s.
18
Suppose -258*b + 1845 = -255*b - p, 2*p = -4*b + 2470. Calculate the least common multiple of 484 and b.
6776
Let k(q) = 38*q**2 - 10*q - 49. What is the lowest common multiple of k(-3) and 969?
969
Let o = 47/619 + -613617/2476. Let t = o - -11049/44. Calculate the common denominator of t and -24/59.
649
Let t = -92 - -91. Calculate the common denominator of (0 - t)*(-213)/60 and 23/24.
120
Suppose 0 = 2*c + 21 - 7. Let b be (-7)/(c/2) - -23. Let a = 34 - b. Calculate the smallest common multiple of 5 and a.
45
Calculate the least common multiple of 1057 and -6*(11 - 10) + 174.
25368
Let p = -218 - -213. Calculate the smallest common multiple of (-8)/p - -8 - 2/(-5) and 36.
180
Let o = 110 - -898. Let c be o/(-27)*9/148. Let l = 36/407 + c. Calculate the common denominator of 2/17 and l.
187
Let d(t) = -12*t - 1. Let h = 2264 + -2259. Suppose q = h*l - 92 - 6, 2*l - 3*q - 34 = 0. Calculate the smallest common multiple of d(-1) and l.
220
Let s = -240791/30 + 8023. Calculate the common denominator of -94/231 and s.
2310
Calculate the common denominator of -57/1130 and 4/3*(-13761)/178992.
6780
Let n(h) = h**3 - 18*h**2 + 33*h - 12. Suppose 6*d - 82 - 14 = 0. Let z be n(d). Calculate the common denominator of 46/(-12) + z - (-105)/9 and 31/9.
18
Suppose 4151 = 51*s + 119*s - 17949. Calculate the least common multiple of 19 and s.
2470
Let n = 7979 + -4441. Let a = n - 53098/15. Find the common denominator of a and ((-278)/36)/((-5)/15).
30
Let a = -25998169222/1081 + 24050112. Let x = a - 2091713/1176128. What is the common denominator of x and -101/16?
1088
Let b = 58 - 13. Let q be (-134)/14 + b/(-105). Let x = q - -37. What is the smallest common multiple of x and 33?
297
Let z = -23067 - -23383. Calculate the lowest common multiple of 158 and z.
316
Let v = -27 + 26. Let r be (-3 - v)/((-24)/756). Find the common denominator of -77/4 and 6/(-20)*(-49)/r*-4.
60
Let j = 1441/3 - 490. Let d = 57/5 + j. What is the common denominator of -37/42 and d?
210
Calculate the lowest common multiple of 280 and 54/30 - (-120129)/345.
1400
Let o(c) = 150*c - 2480. Let k = 77 - 0. Calculate the least common multiple of k and o(17).
770
Let a be (8 + -6)*(-22)/(-4). Suppose 5*w - 3*p + a = -8, -6 = -2*p. Find the common denominator of (w/36)/(1/(-25)) and 97/36.
36
Let k be 38 + (3 + (-15)/6)*8. Let m = 17 + k. What is the smallest common multiple of m and 5?
295
Let x(p) = -7105*p + 26*p**2 + 7105*p + 55*p**2 - 1. What is the least common multiple of x(1) and 20?
80
Suppose -50 = -3*o + 2*o. Suppose 2399 - 1318 = -16*d + 1641. Calculate the least common multiple of o and d.
350
Suppose 3*u + 0*u - 76 = -5*m, -3*u = 3*m - 42. Suppose -v = -m + 11. What is the smallest common multiple of v and 49?
294
Suppose 2 = n + 149*b - 147*b, -b = -5*n + 65. Let d = -15 - -31. Calculate the smallest common multiple of d and n.
48
Let v = -1431/2366 - 11/338. Find the common denominator of v and 55/2.
182
Suppose -4517 - 523 = -3*u. Let c = 4678 - 4673. What is the common denominator of 103/28 and (-5558)/u - (-3)/c?
168
Let c = -46 - -73. Suppose -5*v = -2*v. Suppose v = 3*m + l - 30, m - l - 21 = -5*l. What is the least common multiple of m and c?
27
Let y = -12221/4 + 3041. What is the common denominator of y and -32/2051?
8204
Let f(a) = 1651 - 809 - 804 + 7*a. Let c(l) = 16*l - 4. What is the least common multiple of c(3) and f(-4)?
220
Let f(x) = x**2 - x - 5. Let p = -40 + 78. What is the least common multiple of f(-2) and p?
38
Let g(v) = -49*v**2 - 399*v + 10. What is the lowest common multiple of g(-8) and 836?
2508
Calculate the common denominator of -13/16 and 60/(-195264)*-114 + 0.
5424
Let m be (-1)/(-17564)*-2*(8 + -12). Let k = -583895/237114 - m. Calculate the common denominator of -7/90 and k.
270
Suppose 2*d = 2*a + 27 - 341, 3*a - 791 = 5*d. What is the common denominator of 25/42 and (-2823)/(-252) + d/(-224)?
84
Let t be (-2)/(16/588 + 0)*-58. Calculate the common denominator of t/(-630) - 8/(-6) and 65/12.
60
Calculate the common denominator of (-5)/72*(-356)/(-20) and 1955/(-100) + 1 + 0 + 71/(-355).
72
Let z = 50201 + -2108587/42. Find the common denominator of z and -101/12.
84
Suppose 3*o - 157 = a, -2*a - 44 = 30*o - 31*o. What is the smallest common multiple of 297 and o?
594
Suppose 0 = -2*w + m + 18, 3*w - 4*m - 16 = 2*w. What is the least common mu