- i = -7*w + 2, 5*w = 3*i + 20. What is the smallest common multiple of 3 and w?
3
Suppose -15*p + 17*p - 4*m - 2 = 0, 3*p = -3*m + 30. Calculate the lowest common multiple of (1 - -32) + (4 - 4) and p.
231
Let b be 66/(-16)*(-3)/72. Let f = b - 237/448. Calculate the common denominator of ((-8)/(-128))/((-2)/(-60)) and f.
56
Suppose -3*b - 1036 = -0*d - d, 0 = -3*d + 5*b + 3112. Let w = d + -9364/9. Find the common denominator of w and 17/11.
99
Let l(f) = f**2 + 3. Let z be l(-3). Suppose 2*m = -0*m + z. What is the lowest common multiple of 10*(-14)/28 + 8 and m?
6
What is the smallest common multiple of 4182/3 + -6 + 0 and 2?
1388
Suppose 0 = -5*f - 2*o + 189 - 50, -8 = -4*o. Calculate the least common multiple of 453 and f.
4077
Let m = -21 - 64. Let o = m + 92. Suppose -3*a - 1 + 8 = -4*y, -5*y = 3*a - 25. What is the lowest common multiple of y and o?
14
Let p = -235843/380150 - -3/7603. Calculate the common denominator of 81/10 and p.
50
What is the smallest common multiple of (-168)/4*40/(-28) and 210?
420
Let c = 196 - -174. Let d = -639 - c. Let v = d - -6083/6. Calculate the common denominator of v and 23/22.
66
Calculate the common denominator of 123/50 and (-4)/(-6)*(-3519)/(-1150).
50
Suppose 344 = 7*j + 127. Calculate the least common multiple of j and 11.
341
What is the common denominator of -3 + 1132/168 + -4 and 4 - ((-394)/(-40) + -5)?
420
Let o = 59443/113960 - 317/440. Calculate the common denominator of o and -51/14.
518
Suppose -8*g = -3*g + 375. Let j be g/(-20) + 2/8. Suppose j*l = -5*z - 0*z + 15, l + z = 5. Calculate the lowest common multiple of 9 and l.
90
Suppose 0 = -5*i - 87 + 177. Calculate the smallest common multiple of 18 and i.
18
Suppose -k + 70 - 40 = 0. Calculate the smallest common multiple of 12 and k.
60
Find the common denominator of -151/108 and 3 - (-44)/(-336)*7.
108
Let n(t) = -t + 12. Let c be n(4). Suppose 5*r - m - 17 = 0, -5*m + 11 + c = r. Suppose 8*o = 10*o - r. Calculate the lowest common multiple of 16 and o.
16
Let r = -15533977/10 + 1545130. Let n = r + 8260. What is the common denominator of 1/13 and n?
130
Suppose -3*t - 2*t + 10 = 0. Find the common denominator of -4 - -2 - 24/27 and 3/t - (-123)/15.
90
Let g = 1 + -16. Calculate the least common multiple of -1*1*-18 - (15 + g) and 21.
126
Let j be 3/(-45)*(-45470)/24. Let o = j - 509/4. Find the common denominator of -23/12 and o.
36
Let m = 172 + -128. What is the lowest common multiple of m and 11?
44
Let b = -462 - -41. Let u = b + 2569/6. Find the common denominator of 137/18 and u.
18
Suppose 0 = -4*o - 2*v - 38, o + 4*v - 6*v + 22 = 0. Suppose 3*i + 2*i = 10. What is the lowest common multiple of 8/6 + (-104)/o and i?
10
Let x = -11/109 + 7468/1635. Find the common denominator of (4/7)/(66/539) and x.
15
Let l(d) = -2*d - 1. Let u(j) = 2*j + 1. Let n be u(-1). What is the lowest common multiple of 5 and l(n)?
5
Let o(z) = z + 12. Let l be o(-10). Suppose 13 = 5*t - l. Suppose 0 = n - t - 0. Calculate the lowest common multiple of n and 2.
6
Let l(c) = c**3 - 7*c**2 + c - 2. Let v be l(7). Find the common denominator of 1 + 11/110*355/6 and (-491)/10 + (-2)/v.
12
Let r(m) = -2*m - 4. Let y(s) = -18*s + 11*s + 5*s + 12. Let a be y(11). What is the lowest common multiple of 14 and r(a)?
112
What is the common denominator of (19/570)/(-1 - (-2)/9) and -121/182?
910
Calculate the common denominator of 593/344*(12 + -8) + -6 and 10/3.
258
Suppose -p = 82*f - 85*f + 8, -2*p = f - 12. Calculate the lowest common multiple of f and 48.
48
Let d(v) = -2*v**2 + 23*v + 111. What is the least common multiple of d(13) and 9?
72
Let p(w) = w**2 + 5*w + 52. What is the least common multiple of p(-9) and 72?
792
Let g = -979/3 - -335. Suppose 3*v + 0*d - 2*d = 11, 3*d + 17 = 5*v. Let c = -5/7 + v. Calculate the common denominator of g and c.
21
Let m(n) = n**2 - n + 55. Let r be m(0). Let a = 109 - r. Suppose -34 = -4*v - t + 24, 4*v - t - a = 0. Calculate the smallest common multiple of v and 2.
14
Suppose -147 = 3*w + 3*n - 516, -381 = -3*w + n. What is the lowest common multiple of 72 and w?
504
Let t(i) = -i**3 + 37*i**2 + 8. Calculate the least common multiple of 1596 and t(37).
3192
Calculate the common denominator of -1/286 and ((-2421)/269)/((-88)/(1*2)).
572
Let l = -856 - -884. Suppose -q - 32 = -3*q. Calculate the least common multiple of l and q.
112
Let t be 320/176 + (-4)/(-22). Suppose b - o = -3*o + 1, t*b = -o + 14. What is the smallest common multiple of b and 48/21 - (-4)/(-14)?
18
Let y(q) = 17*q**3 + 2*q**2 - 4. Calculate the least common multiple of y(2) and 10.
140
Let v = -11 - -17. Let b(r) = 3*r**3 - 12*r - 13*r**2 + 2*r**3 + r**3 + 12 - 7*r**3. Calculate the least common multiple of v and b(-12).
12
Let h = -2140/2104487 + 3/1661. Let x = h + -4888/1267. Let y = 175751/16 - 10981. Calculate the common denominator of y and x.
112
Let y be 0/(-2) - ((-119194)/3784 - 2). Let z = y + 1/1892. Let k = -3323 + 16674/5. What is the common denominator of z and k?
10
Let p = -1859 - -1927. What is the smallest common multiple of p and 14?
476
Let c = -136/35 + 64/15. Find the common denominator of c and -11/219.
1533
Suppose -4*p = -4*y + y + 20, 3*p = -6. Let a(o) be the first derivative of o**3/3 + 5*o**2/2 - 8*o + 6. Calculate the smallest common multiple of y and a(-7).
12
Suppose 8 = -3*t + 4*t. What is the smallest common multiple of ((-2)/(2*-1))/(166/1328) and t?
8
Let u be (1 - -1)/(4/134). Suppose -3*m + m + x + u = 0, -4*m + 140 = -4*x. What is the least common multiple of 87/4 - (-3 + 33/12) and m?
352
Suppose 0*u + 11*u + u = 0. Suppose 31*i - 30*i - 6 = u. What is the lowest common multiple of i and 1?
6
Find the common denominator of (-7)/((-42)/18) + (-185)/12 and -1/46.
276
Let g = -336 - -28623/85. Find the common denominator of -19/9 and g.
765
Let o = -481 + 276. Let u = -3697/18 - o. Calculate the common denominator of -17/24 and u.
72
Let q = -80 - -34. What is the common denominator of q/12 + -1 + 3 and 4/12 - 15/2?
6
Suppose 5*w + 1530 = 35*w. What is the smallest common multiple of w and 63?
1071
Let y be (3*72)/(2/(-3)). Let o = 8 + -6. What is the smallest common multiple of (2/(-3))/(24/y) and o?
18
Suppose -11*p + 6 = -9*p. Suppose -5*v + 63 = -2*b - 55, p*v + 3*b - 75 = 0. Calculate the smallest common multiple of 24 and v.
24
Let v = 1138 + -1111. Calculate the lowest common multiple of 405 and v.
405
Let p = -564275/142779 - 2/6799. Let f = 10/223 + 1381/4014. What is the common denominator of p and f?
126
What is the smallest common multiple of 10 and (-102)/(-357) + 332/14?
120
Let d(h) = -h**2 - 5*h - 4. Let c be d(-4). Suppose -2*p - p + 21 = c. Calculate the smallest common multiple of 8 and p.
56
Suppose 2*n + 46 = 50. Suppose -3*i - n*a + 7*a = -2, -21 = -4*i + 3*a. What is the smallest common multiple of i and 8?
72
Let k(f) = -5*f**3 - f**2 - f. Let q(d) = 14*d - 723. What is the lowest common multiple of k(-1) and q(52)?
5
Suppose 3*c = 9*c - 204. Calculate the least common multiple of c and 2.
34
Let q be (2/(-6))/((-645)/2004585). Let o = -647205049/624360 + q. Let r = o - -2/605. Calculate the common denominator of r and 1/14.
56
Suppose 0 = 5*p - 3*o + 1 - 24, -5*p - 4*o + 51 = 0. Calculate the lowest common multiple of p and 21.
21
Let y be (226/150)/(-4 + 3). Let x = y + -289/1650. Calculate the common denominator of x and 25/8.
88
Suppose -5*j - x = -j - 33, -2*x = 6. What is the smallest common multiple of 21 and j?
63
Let l = 6 + -3. Let v be 60/18*l/2. Suppose 0 = 5*d - 25, -v*d = 2*j - 37. What is the lowest common multiple of j and 12?
12
Let i = 41 + 6. Suppose 4*t + 4*g = -t + i, t + 3*g - 5 = 0. Calculate the least common multiple of t and 8.
88
Let j(n) = -n**3 - 15*n**2 + 16. Calculate the smallest common multiple of 20 and j(-15).
80
Suppose 17*u = 21*u - 3040. Find the common denominator of (u/(-48))/(14/2) and -123/20.
420
What is the common denominator of 14/(-28) + 22/70 and 89/56?
280
Let v = -8342952 - -174887815/21. Let r = v + 14958. Calculate the common denominator of r and 28/9.
63
Suppose -7*m + 519 + 2183 = 0. Suppose m + 58 = 6*s. Find the common denominator of -9/2 and 0 - (s/9)/2.
18
Let r(h) be the second derivative of -h**5/20 + h**4/6 - h**3/2 