 - 5*q = 19, 0 = -4*o + 5*q + 11. Let a = -2 - 0. What is the smallest common multiple of 5 and (a + (-2)/1)*o?
20
Let u = 259 - -31. Let b = -155 + u. Calculate the common denominator of 2 and (-4)/(-6) - (-1503)/b.
5
Let j be 6/(-33) + 2072/22. Find the common denominator of 3/(-12)*j - -3 and 61/8.
8
Let n(s) = s**2 - 15*s + 6. Let h be n(9). Let l = -34 - h. Calculate the lowest common multiple of 8 and l.
56
Suppose -t - 4*m = 13, -3*t + m = 18 - 5. Let s = t - -6. Let j(u) = 23*u**3 - u**2 - u + 1. What is the smallest common multiple of 6 and j(s)?
66
Let v(s) = -s**3 - 3*s**2 + s + 4. Let n = -13 - -10. Calculate the smallest common multiple of v(n) and 11.
11
Let p be ((-4)/(-10))/(3/75). Let l = 0 + p. Let x(q) = -3*q + 2. Calculate the lowest common multiple of x(-6) and l.
20
Suppose 8 = -7*u + 9*u. Calculate the smallest common multiple of 24 and u.
24
Let b = -2827 + 28209/10. Calculate the common denominator of 19/154 and b.
770
Suppose 2*c = 7*c - 2*a - 137, -2*c + 50 = 4*a. Suppose -3*r = -0*r - c. Calculate the least common multiple of 57/r + (-2)/6 and 1.
6
Let p be 3 + -1 - (178 + -5). Let b = 5/113 + -3651/791. Find the common denominator of b and (3/4)/((-9)/p).
28
Let n(b) be the second derivative of -b**3/6 - 2*b**2 + 4*b. What is the least common multiple of n(-6) and 22?
22
Let p be (-1030)/6 + 4/6. What is the common denominator of 2/(-24)*5 + -1 and (-2)/(-8)*(-1 - p)?
12
Calculate the smallest common multiple of (-21)/15 + 2/5 + 34 and 6.
66
Suppose -6 - 10 = -4*n. Suppose 5 = -n*k + 53. Calculate the least common multiple of k and 22.
132
Let y = 2 - 3. Let f = 5 - y. Let k(u) = -3*u - 4. What is the smallest common multiple of k(-4) and f?
24
What is the common denominator of 38/27 and 2/((-60)/(-77)) - -1?
270
Let i = -1496/1651665 + 1/739. Let y = i + 225731/8940. What is the common denominator of y and -3/2?
4
Let c = 18 - 16. Let r = -67/2 + c. What is the common denominator of r and (-3*1)/((-2)/3)?
2
Let y be (9/6)/((-1)/2) - -7. Suppose -5*a + 100 = 35. Let o = a - y. What is the least common multiple of 3 and o?
9
Let b = -19/578 - 25569/4624. What is the common denominator of b and -79/10?
80
Calculate the common denominator of (-3 - -1) + 48/18 and -111/10.
30
What is the common denominator of 76/33 and (-41)/(-6) - (42/(-12) - -4)?
33
Let i(a) = a**2 + 3*a + 5. Calculate the lowest common multiple of i(0) and 7.
35
Let o be (-4)/(-22) + (-3912)/(-22). Find the common denominator of (-130)/36 + -3 + 4 and 0 - -2*o/48.
36
What is the common denominator of 67/14 and (-105)/14*(-10)/4?
28
Let q(t) = -t - 7. Let c be q(-10). Let j = 5 - c. Calculate the lowest common multiple of 4 and j.
4
Suppose 0 = 5*b - 44 - 11. Let q = -38 - -47. Calculate the lowest common multiple of q and b.
99
Let r(c) = -c**3 - 3*c**2 - 13*c - 6. Let d be r(-10). Suppose -m = -2*m + d. Calculate the common denominator of (m/(-36))/((-16)/(-6)) and 29/12.
12
Let s = 7010936307/380 + -18449819. Let p = s - 223/19. Find the common denominator of p and 49/22.
220
Calculate the smallest common multiple of 3 and 2*(1 - -1) + -1.
3
What is the common denominator of (285/4)/(-3) + 1 and 23/14?
28
Let a be -2 - (165/63 - 2). Let h = a + -117/7. Let k = -3222/1375 - 48/125. Find the common denominator of h and k.
33
Suppose 3 = -4*j - 5. What is the lowest common multiple of 12 and j + (0 - 18)/(-3)?
12
What is the least common multiple of 1 and 0 - (-3)/(-1 - -4)?
1
Let p = 2222 + -59971/27. Find the common denominator of 71/3 and p.
27
Let h = -320/153 + -47137/1530. Let j = -144 - -111. Let p = h - j. Find the common denominator of 10/7 and p.
70
Let x(h) = 0 + 2*h**2 + 1 - 2*h + 6*h**3 - 2*h**3 - 5*h**3. Let t be x(2). Let b(d) = -d - 2. What is the smallest common multiple of 7 and b(t)?
7
Suppose 2*j - 72 = -j. Let r = j + -193/8. What is the common denominator of 612/(-8)*1/6 and r?
8
What is the common denominator of 19/6 and (7/6 + -1)*34?
6
Find the common denominator of ((-17 - -3)/((-36)/(-51)))/1 and -42/269.
1614
Let l = -7039/9 + 784. Calculate the common denominator of -35/39 and l.
117
Let i = -4 + 6. Suppose -i*w = 2 - 8. What is the least common multiple of 10 and w?
30
Let d be (-1)/2 - (-1498)/120. Let m = d + -34/3. Let t = m + 19/40. Calculate the common denominator of t and 43/3.
24
Let c(h) = h**3 + 2*h**2 + 6*h + 5. Let a(w) = w**3 + 3*w**2 + 5*w + 4. Let u(n) = 3*a(n) - 2*c(n). What is the least common multiple of 1 and u(-2)?
8
Let v(z) = -z + 20. Suppose -3*u - 14 = 4*d - 5, 3*u + 9 = -2*d. Calculate the least common multiple of 2 and v(d).
20
Let b = 1471/2 - 697. Let z = -6162 + 86333/14. What is the common denominator of z and b?
14
Let f be ((-6)/(-10))/(3/15). Suppose 11 = -5*n + 1, -z - f*n + 8 = 0. Calculate the least common multiple of z and 20.
140
Suppose 0 = 2*v + t - 36, 5*t - 88 = -5*v + 2*t. Calculate the smallest common multiple of v and 38.
380
Let v = -13 - -2. Calculate the common denominator of 19*2/(-8)*-2 and (v - -5)*22/(-54).
18
Let i = -71/2 - -1063/30. Find the common denominator of i and -51/7.
105
Let d be (-207)/(-6)*(-62)/11. Let k = 30749/154 + d. Find the common denominator of k and -17/14.
14
Let n = 10 + -6. What is the lowest common multiple of ((-10)/(-8))/((-1)/(-8)) and n?
20
Suppose -4*u + 4*o + 8 = -8, -4*u = 2*o - 28. Calculate the least common multiple of u and (-1 + (-6)/(-9))*-6.
6
Let l be -2 + 6 + 2/(-2). Suppose -c = -q - 7, -2*c + 2*q + 17 = -l*q. Calculate the smallest common multiple of 26 and c.
78
Let j(x) = -x**3 - 9*x**2 + 8*x + 1. What is the smallest common multiple of 18 and j(-10)?
126
Suppose 3*l = u - 15 + 36, -4*l + 44 = -4*u. Let d(j) = -j**2 - 3*j + 8. Let z be d(u). Calculate the least common multiple of 3 and (-104)/z + 3/5.
33
Let j = 2555/6 + -439. Let q = 55/4 + -661/44. What is the common denominator of j and q?
66
Let w = 24 + -14. What is the smallest common multiple of w and 20?
20
Let j = 4 + 14. What is the least common multiple of j and 62?
558
What is the least common multiple of 5 - 7 - (-32)/1 and 24?
120
Let l be ((-6)/(-5))/(18/60). Suppose -l*i = -14 - 10. Find the common denominator of i and -7/9.
9
Let k = 7/36 + -4/9. Find the common denominator of 29/20 and k.
20
Suppose 4 = a, 5*t + 3*a - 5201 = 4*a. Calculate the common denominator of 4/14 - 698/140 and t/135 - (-4)/10.
90
Suppose -2*s + 38 = 4*a, -a = -0*s - 4*s + 13. Let r = 5559 - 44407/8. Calculate the common denominator of r and (854/(-20))/a - 1.
40
Let j(l) = -12*l - 45. What is the lowest common multiple of j(-4) and 24?
24
Calculate the common denominator of -1/30 and (-7)/(-35) + 686/(-80).
120
Let h(d) = 5*d + 1. Let x(f) = f**2 + 2*f - 1. Let r be x(1). Let y be h(r). Let t = y + -5. What is the smallest common multiple of 5 and t?
30
Let l = 4 - 2. Let y be l/1 + 0/(-3). Calculate the common denominator of y/3 - 489/(-90) and 23/4.
20
Let m be ((-3)/10)/((-18)/238035). Let h = m + -143059/36. What is the common denominator of h and 53/2?
18
Suppose s - 6*s + 50 = 0. Let c(d) = d**2 + 1. Let l(v) = v**2 + v + 1. Let k be l(-2). What is the lowest common multiple of c(k) and s?
10
Let w(t) = -t + 1. Let u(g) = -2. Let a(z) = -u(z) - 2*w(z). What is the least common multiple of a(2) and 7?
28
Let c(y) = -5*y**3 - y**2 + 5*y. Let f(k) = k. Let d(p) = -c(p) + 5*f(p). Calculate the least common multiple of 16 and d(1).
48
Let x = -12 + 26. What is the smallest common multiple of 10 and x?
70
Suppose 2*b = 6*b - 4*q - 4, 3*b = -q + 3. Calculate the least common multiple of 9 and b.
9
Let m = -19/25 - -1363/1300. What is the common denominator of m and 53/(-2)*2/(-22)?
572
Suppose 0*w + 3*w = 3. What is the lowest common multiple of ((-6)/(-7))/(w/7) and (-2)/(-5) + (-46)/(-10)?
30
Let l(u) = -4*u - 4. Calculate the least common multiple of l(-6) and 2/8 - 395/(-20).
20
Let i = -6 + 8. Let d = 15 + 3. What is the lowest common multiple of d and i?
18
Let x(c) = -2*c**3 - c**2 + 3*c - 4. Let o be x(-3). Suppose -i + o = -y, -i + 5 = -4*y - 21. Calculate the common denominator of -19/3 and (-2)/(-3) + i/(-3).
3
Let h = 38 - 24. Suppose -2*j = -2*b + 3*j + 19, 13 = 2*b - 3*j. Calculate the smallest common multiple of b and h.
14
Suppose 2*q - 288 = -q. Suppose -q = 2*z -