 + 12. Calculate the smallest common multiple of p and 5.
15
Let b(m) = m**3 + 2*m**2 + 5. Let t be b(0). Suppose l - 17 = -5*p, -l + 4*p - 100 = -t*l. Find the common denominator of 27/10 and 1/(-4)*495/l.
60
Let n(y) = -6*y - 4. Suppose -11*f + 12 = -8*f. Suppose -3*m + 10 = -f*k, -4*m + 0*m + 10 = -2*k. Calculate the smallest common multiple of m and n(-3).
14
Let d be 116/(-36) + 4 + 2/9. What is the smallest common multiple of (-18)/7*1*-7 and (5 + -2)/(12*d/80)?
180
Let t = -414621/22 - -18851. Let b = 8/125 + -3657/500. What is the common denominator of t and b?
44
Let p(f) = 94*f - 444. Calculate the lowest common multiple of p(6) and 204.
2040
What is the common denominator of -51/172 and 10/4*(1140/350 - 1)?
1204
Let w = 4/5 - 37/40. Let r be 265/5*5/(-5). Calculate the common denominator of w and 6/12*r/(-6).
24
Let r = -823 - -825. Let l = 462 + -284. What is the common denominator of r and 10/12*l/(-20)?
12
Suppose 4*n = 459 + 465. Let j be 64/n + (-2)/7. Let m = j + -1945/231. What is the common denominator of m and 29/4?
28
Let x = 2509/3 + -858. Calculate the common denominator of 77/87 and x.
87
What is the common denominator of (-3380)/(-1092) - (2 + 0 - -4) and -5/141?
987
Let d be ((-2567)/8)/((6/(-56))/1). Let c = d + -2975. Find the common denominator of c and -4/11.
66
Let u(h) = -h**2 + 11*h + 76. What is the lowest common multiple of u(15) and (-3 - -1)*-1 + 16?
144
Let l = 3727 + -1399. What is the least common multiple of 4 and l?
2328
Let q = 4/19363 - 94545/38726. Let h = 310 + -1985/6. Find the common denominator of q and h.
102
Let u(x) = x - 4. Calculate the least common multiple of u(6) and (12/(-2))/((-48)/32).
4
Suppose -3*j - 247 + 719 = 2*k, 4*k + 16 = 0. What is the least common multiple of 16 and j?
160
Let r = 8/1285 - 163339/23130. Calculate the common denominator of r and -37/207.
414
Suppose 0 = -2*g + 5*g - 33. What is the common denominator of g/(-110) - 424/10 and 23/21?
42
Let y(r) = 3*r**2 + 18*r - 161. What is the smallest common multiple of y(-21) and 4?
784
Let u = -13 + -2. Find the common denominator of (-31)/(-11) + (-15 - u) and (-938)/120 + 4/10.
132
Let w(i) = 2*i**3 - 3*i + 2. Suppose -3*x = -2*v + 12, -3*x + 0*x = -5*v + 30. Calculate the least common multiple of w(2) and v.
12
Calculate the least common multiple of 248/14 + 2/7 and (-6 + 12)*((-16)/80 - 77/(-10)).
90
Let c = -8509/28196 - 6/7049. Let a = 559/152 + c. Calculate the common denominator of a and -7/8.
8
Let p(r) = 2*r - 24. Let i be p(10). Let h be 14 - ((0 - -7) + i). Suppose 0 = -y - 1 + h. What is the lowest common multiple of y and 4?
20
What is the common denominator of 37/27 and ((-2649)/(-855) - (3 + 0))*-5?
513
Suppose -3*f - 5*x + 2 = 0, 3*f - 2*x = -5*x. Let g = f + 1. Suppose g = -t - 3*t + 48. Calculate the least common multiple of 12 and t.
12
Let f = -481020/11 - -43682. Let a = -2585421791/198 + 13057635. Let w = a - f. Calculate the common denominator of w and -1/6.
18
Let c be 2005/15 + 3/9. Let f = -88 + c. Suppose -2*j = i - 57, 4*j + 4*i = 3*j + f. What is the smallest common multiple of 8 and j?
104
Let l = 6 + -2. Let s(i) = -6*i - 17. Let k(w) = -5*w - 17. Let y(x) = -5*k(x) + 4*s(x). Calculate the least common multiple of y(-8) and l.
36
Suppose -3*b = -2*p + 1, -9*p + 4*b = -12*p + 44. Calculate the lowest common multiple of 85 and p.
680
Let i = -194431/24 - -8100. Calculate the common denominator of i and -95/14.
168
Suppose 0 = -3*r - 2*l + 25 - 3, 2*r - 36 = 4*l. Calculate the lowest common multiple of 2 and r.
10
Suppose k - 739 = -3*x, -10*x + 5*x - 3*k + 1233 = 0. Calculate the smallest common multiple of x and 24.
984
Let n(f) = f**2 + 8. Let z be n(0). Let h = -7 - -19. Let y = h - z. What is the smallest common multiple of y and 8?
8
Let l(b) = -b**2 + 10*b - 17. Let a be l(8). What is the least common multiple of 11 + 1 + -1 + (0 - a) and 10?
60
Let j(o) = 4*o**3 - 3*o**2 - o - 24. What is the lowest common multiple of j(4) and 198?
1980
Suppose -375 = -6*i - 27. Suppose 3*d + i - 172 = 0. Suppose -h + d = k, 0 = -5*k - 0*k + h + 214. What is the least common multiple of k and 4?
84
Let f(l) = -40*l - 2. Let m be f(-2). Suppose -m = -5*g - 2*x + 11, x + 41 = 2*g. Calculate the lowest common multiple of g and 1.
19
What is the common denominator of (1 + (-138)/(-8))/(-2) and (0 - (0 + -30)) + (-3 - -6)?
8
Suppose 4*x + k + 99 = 5*x, 0 = -2*x - k + 186. What is the smallest common multiple of x and 50?
950
Suppose 2 - 5 = -y. Suppose -t + y = 1. Let k = 1531 + -1522. What is the least common multiple of k and t?
18
Let n = 9 - 8. What is the lowest common multiple of 718/10 - 546/(-455) and n?
73
Let j = 1118 + -1997. Calculate the common denominator of 87/4 and j/(-330) - (-7)/35.
44
Let a(v) = 6*v**2 + v - 6. Calculate the smallest common multiple of 62 and a(2).
620
Find the common denominator of (36 - 31)*((-60)/(-29) + -2) and 13/6.
174
Suppose 9*w - 70 = 4*w. Suppose 0 = -18*u + w*u. Suppose -17 = g - 5*c - u, c = 3*g - 19. What is the lowest common multiple of 6 and g?
24
Suppose -13*u + 4*u = 1494. Calculate the common denominator of -1 + (u/28 - -4) and -17/4.
28
Let f be (-6*3)/(9/(-18)). Calculate the common denominator of 10/(-3) + 4 - (-230)/f and 41/10.
90
Let c = 523 + -335. What is the lowest common multiple of 112 and c?
5264
Suppose 4*u + 5*t = 388, 0*t + 392 = 4*u + 4*t. Suppose -4*w - 5*i + 38 = -163, 2*w + 4*i = u. Let j = w - 35. What is the least common multiple of j and 4?
28
Let k = -2/587 - -1783/6457. Let o be 2/(-7) - (-22923)/21. Let g = o + -1095. Find the common denominator of k and g.
77
Let x(g) = -11*g + 1. Let j be x(1). What is the common denominator of 25/12 and (j/14)/((-36)/238)?
36
Suppose -8*c - 100 = -10*c. Let o = 60 - c. What is the smallest common multiple of 12 and o?
60
Let p be 3966/24 - (-1 - -1). Let r = p - 148. Calculate the common denominator of r and -71/6.
12
Suppose 22 = 4*p + 6. What is the lowest common multiple of (6 + (-16)/p)*4 and 42?
168
Suppose -14*i + 18*i - 80 = 0. Let s = 51 + -44. What is the smallest common multiple of s and i?
140
Suppose 0 = 862*u - 860*u - 96. Calculate the least common multiple of 32 and u.
96
Let v(w) = -w**3 + 12*w**2 + 27*w + 18. Let m be v(14). Suppose x = 2*k + k + 16, -m*x + 4*k + 104 = 0. Calculate the least common multiple of 5 and x.
155
What is the common denominator of (1/(-3))/(70/39) and 31/84?
420
Let l = 295941/1120 + -433/224. Let s = l - 1261/5. Find the common denominator of -61/8 and s.
40
Let z be 4/14 + (-635345)/(-280). Suppose -5*x = -0*a - a + 2275, -2*x = 4. Let r = a - z. What is the common denominator of 77/2 and r?
8
Suppose -44*y + 4666 = -4530. What is the least common multiple of 38 and y?
418
Let a = 4/1391 + -12811/101543. What is the common denominator of -15 and a?
73
Let s(j) = -j**2 + 2*j**2 + 4 - 3*j**2 + j**2 + 5*j. Let n be s(5). Calculate the smallest common multiple of (-46)/(-12) + n/24 and 18.
36
Let c(q) = 11*q**2 + 2*q + 1. Let f be c(-1). Suppose p + 4*o = -f, -3*o + 4 - 28 = -2*p. Let d(b) = b + 9. What is the least common multiple of p and d(0)?
18
Let b = -436/7 - -5132/77. Find the common denominator of -32 and b.
11
Let y be 70/12 + 1/6. Suppose y*t + t = 70. Let q(x) = -2*x + 6. Calculate the lowest common multiple of t and q(-8).
110
Suppose -m + 15*m = -42. What is the lowest common multiple of 21 and (-3 + -1*(m - -1))*-3?
21
Let r = -2550 - -56041/22. What is the common denominator of -33/380 and r?
4180
Suppose 0 = -5*v - 2*v + 42. What is the lowest common multiple of v/(-4) - (-92)/8 and 6?
30
Suppose 3*j - 2*k = 56, j = 6*k - 5*k + 18. What is the smallest common multiple of 308 and j?
1540
Let h = -1116 + 1124. Suppose 2*r - 36 = 4*f, -4*r + 4*f + 11 = -41. Calculate the smallest common multiple of r and h.
8
Let b = 1738/3 - 580. What is the common denominator of b and 131/24?
24
Let q(k) = -k**2 + 4. Let t be q(0). Let m be 8/6*54/t. Let n = 24 - m. What is the lowest common multiple of n and 18?
18
Let k = -11 - -28. Let w be (4/12*-1)/(1/21). Let q = w + k. Calculate the smallest common multiple of q and 12.
60
Calculate the least common multiple of (-10 + 102/9)*18 and 33.
264
Suppose 5*o = 206 - 116. Suppose 36 + 82 = f. Calcula