 remainder when 27 is divided by w?
13
Let v be (-16)/(-2)*(-3)/(-6). Suppose -6*m + 3*m = -2*u - 49, -v*m + 3*u = -67. What is the remainder when 37 is divided by m?
11
Suppose 0 = 3*x - 5 - 10. Let c(p) = -p**2 - 7*p - 3. Calculate the remainder when c(-5) is divided by x.
2
Suppose 19*o + 5*o = 504. Let j(d) = -d + 9. Let u be j(6). Suppose -42 = -u*z + 3*s, 0 = 5*z + s - 2*s - 58. Calculate the remainder when o is divided by z.
10
What is the remainder when 12 is divided by (-2)/(-5)*210/12?
5
Suppose 3*w = 2*w + 20. Calculate the remainder when w - 3/3 - 0 is divided by 7.
5
Suppose g + 40 - 54 = 0. Calculate the remainder when 39 is divided by g.
11
Suppose 2*z + 2*z = 0. Suppose z = 2*o - 29 - 5. Calculate the remainder when o is divided by 6.
5
Let q(a) = a**3 - 9*a**2 + 9*a. Let w be q(8). Let c = w - -12. Suppose 0*t + t = c. Calculate the remainder when t is divided by 11.
9
Let u = 18 - 19. Calculate the remainder when (u/(-2))/(6/504) is divided by 11.
9
Suppose a = -4*q + 32, 3*a + 0 = 3*q - 9. Calculate the remainder when 19 is divided by q.
5
Let l = -33 - -23. Calculate the remainder when (l/(-15))/((-1)/(-3)) is divided by 2.
0
Calculate the remainder when (-206)/(-10) + 6/(-10) is divided by (1/2)/(2/44).
9
Suppose 0 = -2*y + 28 - 0. What is the remainder when y is divided by 8?
6
Let b(m) = m**3 + 8*m**2 + 5*m + 6. Let i be b(-7). Suppose 3*j = i + 16. Calculate the remainder when j is divided by 5.
2
Suppose 2*w - 4*x = 59 - 11, -4*w + 2*x + 84 = 0. Calculate the remainder when w is divided by 8.
4
Let m(l) = l**2 - 6*l - 3. Let q = -171 + 285. Suppose -5*w + q = 4*o - 72, -4*w = 2*o - 90. Calculate the remainder when o is divided by m(8).
10
Let i = -15 + 10. Let g = 9 - 1. Calculate the remainder when (-144)/(-10) + 2/i is divided by g.
6
Let r(f) = -2*f - 6 - 4*f + 4*f. What is the remainder when 15 is divided by r(-7)?
7
Suppose 0 = -3*i - 4*d + 310, -5*i = 4*d + d - 515. What is the remainder when i is divided by 15?
12
Let y(b) = b**3 - 8*b**2 + 3*b + 1. Let u = 10 - 2. What is the remainder when 49 is divided by y(u)?
24
Let m be 4/(-8) - (-41)/2. Suppose -4*c = 2*y - 32, 2*y + 3*y + m = 0. What is the remainder when 19 is divided by c?
9
Let r(a) = a**2 + 4*a - 2. Let v(y) = -y**2 - 5*y + 1. Let w(j) = 2*r(j) + 3*v(j). Let q be 28/(-6) - (-2)/3. What is the remainder when 32 is divided by w(q)?
10
Let b(h) = -h**2 - h + 32. Let r be b(0). Suppose 2*a + 2*a - r = 0. What is the remainder when a is divided by 5?
3
Let w(p) = -3*p - 5. Suppose -3*m + 2*x + 2 = 0, -4*m = 3*x - 12 - 19. Let b be w(m). Let l = -11 - b. Calculate the remainder when l is divided by 4.
2
Let k = -73 - -97. What is the remainder when 118 is divided by k?
22
Let p(q) = -q**3 + q**2 - q. Let j be p(1). What is the remainder when 22 is divided by 2/j - -5 - -9?
10
Let u(m) = -m**2 + 3*m. Let q be u(2). Suppose 5*c + 2 + 3 = -5*p, q*c = -4*p - 4. Suppose c = -5*r + 73 + 77. What is the remainder when r is divided by 8?
6
Let b(l) = l**2 - 2*l - 4. Let s be (-28)/10*(-5 - 0). Suppose 0 = -4*f + 138 - s. Calculate the remainder when f is divided by b(-3).
9
Suppose -204*q + 207*q - 78 = 0. Let h(s) = -3*s**2 - s**3 + s + 0*s - 2 - 1. What is the remainder when q is divided by h(-4)?
8
Let l = 3 - 5. Calculate the remainder when -33*(-3)/(18/2) is divided by (-6)/9*18/l.
5
Suppose -f = -4*f + 78. Calculate the remainder when 76 is divided by f.
24
Let v(s) = s**2 - 8*s - 9. Calculate the remainder when v(-6) is divided by 13.
10
What is the remainder when ((-1)/(5/(-380)))/1 is divided by 17?
8
Suppose y - 77 - 58 = 0. Suppose -t = 4*t - y. What is the remainder when t is divided by 10?
7
Let m = 20 + 28. Calculate the remainder when 188 is divided by m.
44
Suppose b - 48 = 2*m, b + 0*m = m + 44. Suppose -3*o + b = -o. Calculate the remainder when 57 is divided by o.
17
Suppose 6*z - 8*z = -12. Calculate the remainder when 64 is divided by z.
4
Let u(o) = 2*o - 9. Let v be u(6). Suppose v*h - 60 = -2*h. Let f(n) = n**2 - 3*n + 3. What is the remainder when h is divided by f(4)?
5
Suppose 4*d + 5*u - 47 = d, -3*d + 31 = u. Let x = 20 + 14. What is the remainder when x is divided by d?
7
Let u(g) = 4*g - 23. Suppose 24 = 2*d - 3*n, -5*d + n = 2*n - 94. What is the remainder when u(14) is divided by d?
15
Let j be 4*7 - (2 + -2). Suppose -o + 6 = 2*f + 3*f, 5*f - o = 14. Suppose 2*a = 2*k + j, -2 = 3*k - f*k. What is the remainder when 34 is divided by a?
10
What is the remainder when 27 is divided by (-32)/3*12/(-8)?
11
Let d be 70/(-3)*36/(-15). Suppose d = 5*y - 9. Calculate the remainder when y is divided by 7.
6
Suppose -16 = 4*g - 6*i + 2*i, -12 = 3*g + 5*i. Let q = g + 28. What is the remainder when 95 is divided by q?
23
Let m(c) = 3*c + 3. Let h be m(5). Suppose 149 = -0*b + 3*b - 4*q, -5*q + h = b. Let o = 18 + -3. Calculate the remainder when b is divided by o.
13
Let j = 68 + -49. What is the remainder when 69 is divided by j?
12
Suppose 2*q = -2*q + 732. Suppose -85 = -2*a - g + 37, 0 = -3*a + 3*g + q. Calculate the remainder when a is divided by 16.
13
Suppose -77*v = -66*v - 198. Calculate the remainder when 124 is divided by v.
16
Let c = 39 - 16. Suppose 0 = -2*i - 3*b + 51 - 8, 2*i - b = c. Suppose 4*v = 124 - 16. Calculate the remainder when v is divided by i.
13
Let t(b) = 6*b - 2. What is the remainder when t(3) is divided by 2/(-3) + (-100)/(-15)?
4
Suppose -31*p = -26*p - 50. What is the remainder when p is divided by 4?
2
Let f(g) = 3*g**3 - g + 2. Let t be 0 + 2 + 1 + -2. Let z(s) = 12*s**2 + 2*s - 1. Calculate the remainder when f(2) is divided by z(t).
11
Let d(m) = -9*m - 2. What is the remainder when d(-3) is divided by (-183)/(-21) + 4/14?
7
Suppose -3*x = x - 16. Suppose l = 5*y - 0*y - 20, -y + 25 = x*l. Let u(i) = i**2 - 6. What is the remainder when 55 is divided by u(l)?
17
Let y(m) be the third derivative of -m**6/120 + m**5/15 - m**4/12 + m**3/2 - 3*m**2. What is the remainder when 16 is divided by y(3)?
4
Let i be 2 + 4*(-1)/(-2). Let t = i - -2. Suppose 3*r - 29 = -5*w + 34, -2*w = 5*r - 86. Calculate the remainder when r is divided by t.
4
What is the remainder when 3/(-12)*-134*(4 - 2) is divided by 23?
21
Let y(h) = h**2 - 4*h - 3. What is the remainder when y(-5) is divided by 15?
12
Let s be 2 + -2*3/(-6). Calculate the remainder when 30 is divided by 19 + (s - 2)*-3.
14
Suppose 2*f - 4*p - 62 = 0, -50 = -2*f - 0*p + p. Suppose 8*x - 8 = 4*x, -3*i - 4*x = -206. What is the remainder when i is divided by f?
20
Suppose 2 = -0*i + i. What is the remainder when 7 is divided by i?
1
Let i(d) be the second derivative of -d**3/2 + d. Suppose r - 3*r - 10 = 0. What is the remainder when 27 is divided by i(r)?
12
Let m(i) = i + 2*i - i - 7. Let z be m(6). Suppose -z*c + 36 + 34 = 0. Calculate the remainder when 53 is divided by c.
11
Let t(u) = -2*u - 8. Suppose 0 = -4*d + 4*i - 12, -3*d + 2*i - 11 = -0*d. Calculate the remainder when t(d) is divided by (1 + 0)*(-1 - -2).
0
Let w(j) = 12*j**2 + 2*j. Let l be w(-2). Suppose -2*t + 17 = z, -2*t = z + 3*z - l. Calculate the remainder when 2 - (-1 - (20 + 2)) is divided by z.
7
Let v(g) = g**2 - 2*g + 8. What is the remainder when 70 is divided by v(0)?
6
Suppose 0 = 6*z - z + 25, -5*y + 5*z = -190. What is the remainder when y is divided by 6?
3
Let g = -27 + 59. Suppose -3*o - 4*s = o - g, 16 = 4*o - 4*s. Let r = 1 + 3. Calculate the remainder when o is divided by r.
2
Let a(g) = -2*g - 2. What is the remainder when 46 is divided by a(-9)?
14
What is the remainder when 16 is divided by (3/4)/((-8)/(-96))?
7
Suppose -5*a = -4*b - 80, 4*b + 56 = a - 8. Let k = 23 + b. What is the remainder when k is divided by 3?
2
Let z(u) = -8*u**3 + 2*u**2 - 2*u - 2. Calculate the remainder when 27 is divided by z(-1).
7
Let p = -46 - -57. What is the remainder when 21 - (2 - (-2 - -2)) is divided by p?
8
Let w(q) = 6*q**3 + 2*q**2 + 7*q - 13. Calculate the remainder when w(2) is divided by 20.
17
Suppose -3*w + 8 = k, w + w = 0. Calculate the remainder when 38 is divided by k.
6
Suppose 2*a + a = 384. Calculate the remainder when a is divided by 13.
11
Let i(w) = 151*w**2 - w - 5. Let y be i(-4). Let t = y + -1485. What is the remainder when 66 is divided by (-2)/9 + t/54?
15
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