1. Let t be a(35). Suppose 4*f + r = t. Calculate the least common multiple of f and 10.
130
Calculate the common denominator of -127/30 and 5 + 0 + 1 + 111/(-90).
30
Let c(n) = 9*n**2 - 53*n + 17. Let v(w) = -2*w**2 + 13*w - 4. Let f(o) = -6*c(o) - 26*v(o). What is the lowest common multiple of 4 and f(-10)?
4
Suppose -7*z + 3*z + 384 = 0. Calculate the common denominator of 1/22 and 4/(z/245) + (-2)/(-3).
88
Suppose 11 + 4 = -3*h. Let v(z) = z**3 + 4*z**2 - 5*z + 2. What is the least common multiple of v(h) and 10?
10
Find the common denominator of -31/33 and (10/(-354))/(-16 - 79/(-5)).
1947
Suppose -2*v = -3*d + 79, -12 = -5*v - 7. Calculate the least common multiple of d and 27.
27
Let i = 72 + -76. Calculate the common denominator of 22/21 and 2/i + (7 - (-2442)/(-324)).
189
Let w = -279 + 111. Let d = 32929/10 + -3296. Find the common denominator of d and (198/w)/(3/2).
70
Let u = 14 - 12. Let h(l) = l - u*l + 0*l. Calculate the smallest common multiple of 20 and h(-6).
60
Let h = 616 + -612. What is the lowest common multiple of h and 155?
620
Let r = -288389/9916 + 1911/67. What is the common denominator of 49/22 and r?
1628
Suppose -24 = -9*s + 7*s - k, 0 = s - 2*k - 12. What is the lowest common multiple of s and 206?
1236
Let n = 29 - 27. What is the common denominator of -47/5 and 11/44 - -5*n/(-24)?
30
Suppose 23*d + 162 = 5*h + 21*d, -2*h = -d - 65. Calculate the lowest common multiple of h and 72.
288
Let f(x) = -x**2 - x + 6. Suppose v - 2*y = -57, -4*v + 6*y - 216 = y. Let m = 55 + v. Calculate the lowest common multiple of f(0) and m.
6
Let r = -41 + 62. Let j(u) = -15*u - 69. Calculate the least common multiple of r and j(-6).
21
Calculate the common denominator of (371/70)/(6/(-12)*-16) and -37/100.
400
Let k = 224 + -411/2. Find the common denominator of k and 79/532.
532
Let i = 200 - 128. What is the least common multiple of i and 2?
72
Suppose -3*c = -4*c + 5. Suppose 3*n - 25 = -4*f, n + 30 = 6*n - c*f. Let g(o) = o**2 - 4*o - 3. What is the smallest common multiple of g(5) and n?
14
Let s = 3 - 3. What is the common denominator of (-2)/(-1) - ((-50525)/240)/(-43) and s?
48
Suppose 5*p - 48 = -3*y, -5*p - y - 11 = -57. Suppose -g = -p - 4. What is the common denominator of (-1)/(-1) + g + -3 and 34?
1
What is the lowest common multiple of ((-8)/(-10)*-2)/((-38)/380) and 44?
176
Suppose 426*o - 1488 = 420*o. What is the lowest common multiple of 12 and o?
744
Let f = -515/2 + 285. What is the common denominator of 69/4 and f?
4
Let f(r) = r**3 + 7*r**2 + 8*r + 4. Let t be f(-5). Let m = 109 + -106. Suppose t = m*c + 5. What is the smallest common multiple of 4 and c?
12
Suppose 0 = -4*v - 5*n + 1062, -152*n - 264 = -v - 154*n. Calculate the lowest common multiple of v and 18.
2412
Suppose -4*m + g = 4*g + 8787853, 5*m + 4*g + 10984816 = 0. Let z = m - -193330341/88. Let j = 332/11 + z. What is the common denominator of j and -107/6?
24
Let u(g) = -2*g**3 - 7*g**2 - 6*g. Let r be (12/(-3))/(2 + -1). Let i be u(r). Suppose 2*j + i = 7*j. Calculate the smallest common multiple of 11 and j.
88
Suppose 4*r = 5*p - 9, 2 = 3*r - 0*r - 2*p. Suppose u = s + 1, r*s - 38 = -u - 2*u. Calculate the smallest common multiple of u and 7.
42
Suppose 20*l = 12*l + 16. What is the lowest common multiple of l/(-4) - 19/(-2) - 3 and 6?
6
Let b = 31 + -15. Let r = b + 8. Calculate the least common multiple of r and 9.
72
Let u = 4 - 8. Let p be 2 + u + 0 + 4. Calculate the common denominator of -17/4 and p/4*252/(-32).
16
Calculate the least common multiple of 21 and (-1)/((99/(-504))/11).
168
Suppose 5*x - 3*s = 36, 3 + 12 = 3*x - 4*s. Let h = 13 - x. Let w(g) = 33*g + 266. Calculate the smallest common multiple of w(-8) and h.
4
Let p = -27845 + 14507240/521. Let g = 24447/4168 - p. What is the common denominator of -52/7 and g?
56
Let p = -8 - -7. Let i be -92*p/((-8)/(-6)). Suppose 41 = 5*t - i. What is the smallest common multiple of 18 and t?
198
Let v = 4594 + -36651/8. Calculate the common denominator of v and 61/66.
264
Let f = 15028 + -992003/66. Find the common denominator of f and -35/9.
198
Let n(a) = 22*a**2 + 2*a - 1. Let r be n(1). Suppose 4*s - r = 5. What is the least common multiple of s and 6?
42
Let p(i) = 9*i - 24. Let r be p(8). Calculate the lowest common multiple of 20 and (-100)/(-3) + r/(-36).
160
Let c = 4 + -2. Let m = 5 + 4. What is the least common multiple of m and (c/6)/(5/165)?
99
Suppose 0 = 5*f - 8*m + 3*m, -2*m = 4*f + 6. Let j(h) = -21*h - 1. Calculate the smallest common multiple of 12 and j(f).
60
Let t(m) = -8*m**3 + m**2. Let w be t(-1). Suppose -3*q = 2*z - w, -3*z + z = -5*q - 17. What is the lowest common multiple of z and 2?
6
Let g be (-88446)/(-44) - (-4 - -10). Let r(z) = 16*z**3 + z - 3. Let q be r(5). Let v = g - q. What is the common denominator of -81/22 and v?
22
Calculate the common denominator of 2 + -2 + (-195)/2288 and 127/12.
528
Suppose 5*j + d - 3 = 3, -3*j = 5*d - 8. What is the common denominator of 2/3 - 2480/1056 and (0 + (-105)/(-18))/j?
66
Let c(a) = a. Let h be c(12). Suppose 0 = 2*u - 2*w - h, 2*u - w = -0*w + 11. Suppose -3 = -u*i + 17. Calculate the least common multiple of 4 and i.
4
Suppose 4*g + l + 59 = 0, 4*g - 3*l = 5*g + 12. What is the common denominator of g*(-1)/(1 + 12) and (-1 - 23)/(28/6)?
91
Let n = 5633/6 + -933. What is the common denominator of n and 5/(-20) - 91/44?
66
Suppose -2*c + 34 = 24. Suppose -25 = -3*h + 5. What is the lowest common multiple of ((-11)/(-2))/(c/20) and h?
110
Let n(l) = 7*l**2 + 2. Let u be n(-2). Suppose 0 = 8*b - 11*b + u. Calculate the lowest common multiple of 1 and b.
10
Let j = -3531/20 + 721/4. Let l = -4757 + -1263. Let f = -60267/10 - l. What is the common denominator of j and f?
10
Let c(v) = -2*v. Let u be c(-2). Find the common denominator of (-4)/(-6) - 11/((-1320)/436) and 33/2*(-3 + u).
10
Let h = -14403005/25835694 - -2/148481. What is the common denominator of h and -87/4?
348
Let s be 6/20*904/12. Let m = 5633873/30 - 187768. Let h = s - m. Find the common denominator of 45/16 and h.
48
Suppose 8 = 2*w + 4. Suppose 4*t - 3*d + 15 = 0, t + 2*d = 6*t + 10. What is the lowest common multiple of (-6 + -10)*(-2 - t) and w?
32
Suppose 4*p + 158 = i, 2*i - 9 - 280 = -p. Let w = i + -145. Calculate the smallest common multiple of 1 and w.
1
Let g = 46 - 19. Calculate the common denominator of (-9)/(-36)*9*(-26)/(-24) and g.
16
Suppose 9*s = o + 603 + 164, -3*s + 265 = o. Suppose -m = -0*m - 16. Calculate the least common multiple of m and s.
688
Let v = 57202 - 116981. Let w = v - -2749939/46. Let i = w + 5/23. What is the common denominator of -67/4 and i?
4
Let z(t) = 10 - 9 - 6*t + 34 - t**2 - 9*t. What is the lowest common multiple of 1/((0 - 0) + 1) and z(-17)?
1
Let j be -46*2 + 6/(-2). Let n be ((-4)/5)/(1/j). Suppose 7*d = 4*d - w + 68, 0 = 3*d + 5*w - n. What is the smallest common multiple of 8 and d?
88
Suppose 0 = 4*h - 117 + 113. Calculate the least common multiple of h - 3 - (1 - (-45)/(-3)) and 4*1/2*1.
12
Find the common denominator of 45/2 and 745/(-120) - (-2)/16.
12
Suppose 0*c - 44 = -2*c. What is the common denominator of c and ((-2)/10)/(-1) + (-6700)/(-7750)?
31
Let n = 11461327/120 + -95512. Calculate the common denominator of n and 143/30.
120
Let f be 1/(3 + 136/(-46)). Suppose -27*d = -f*d. Suppose l - t = -0*t + 8, d = -t + 3. Calculate the lowest common multiple of l and 19.
209
Suppose -5*q - 25 = -3*x, -x + 3 = -q - 4. Suppose -5*n + 35 = -x. Calculate the lowest common multiple of n and 1 + ((-15)/(-3) - 0).
24
Suppose -2*i - 2*h = -6 - 6, -3*h = -2*i - 3. Let j = i + -2. Let b(v) = -7*v**3 - 2*v**2 + 1. What is the smallest common multiple of b(-1) and j?
6
Let j = 55 + -39. Let o = -205 + 225. Calculate the lowest common multiple of o and j.
80
Let m(x) = -187*x + 30. Calculate the smallest common multiple of 30 and m(0).
30
Suppose o + 2*o - 36 = 0. Find the common denominator of (-3)/(-63) - 6/(-9) and (402/o)/((-18)/4).
63
Let b = -14917/36556 + 30/703. Find the common denominator of 19/3 and b.
156
Let a = 749/40 - 63/5. Let y = -140 - -93. Find the common denominator of y and a.
8
Let c = 673 - 668. What is the least common multiple of c and 498?
2490
Suppose -k = -4*k + 3. L