ate the remainder when 122 is divided by k.
26
Let k(g) = 8*g. Let u be -1 - (-6 - -3 - -1). Suppose -6 + 28 = m. What is the remainder when m is divided by k(u)?
6
Let v(x) = 3*x**2 - x - 28. What is the remainder when v(-4) is divided by 21?
3
Suppose 2*s + 8 - 42 = -5*g, 4*g = 5*s - 19. Suppose 166 = 9*u - s*u. What is the remainder when u is divided by 21?
20
Let w = -80 - -29. Let i = -35 - w. What is the remainder when i is divided by 6?
4
Let g(q) = 5*q - 3. Let x be (-2)/3 + (-80)/(-12). Calculate the remainder when g(x) is divided by 15.
12
Let f(o) = 3*o**2 + 1. Let x be f(1). Suppose x*z = 5*z. Suppose n - 3*g = -z*n + 6, -g + 62 = 5*n. What is the remainder when 34 is divided by n?
10
Calculate the remainder when 14 is divided by (-4)/(-10) - (-224)/40.
2
What is the remainder when 10/55 + 350/11 is divided by 9?
5
Let t(i) = i**2 - 6*i - 7. Let w be t(7). Suppose 5*g - 3*g = 3*n - 41, w = 4*n + 4*g - 88. What is the remainder when 65 is divided by n?
14
Suppose k - 3*z - 21 = 0, -2*k - 4*z + 2 = -10. Suppose -3*h + 2*g = -k, -3*g = -10 + 1. Let s(o) = o + 4. What is the remainder when h is divided by s(0)?
2
Suppose -4*o = 3*s - 10 - 41, 3*s = o + 51. What is the remainder when 50 is divided by s?
16
Suppose 140 = 35*t - 31*t. What is the remainder when t is divided by 14?
7
Let s(n) = n**2 + 3*n + 2. Calculate the remainder when (-3)/1*(-16 - 3) is divided by s(3).
17
Suppose i = 2*q - 6*q - 19, 4*q + 5*i = -15. Let h = q + 10. What is the remainder when h is divided by 3?
2
Let c = 109 + -50. What is the remainder when c is divided by 352/24 + (-1)/(-3)?
14
Suppose 5*v - v - 18 = m, -v + 12 = -4*m. What is the remainder when 13 is divided by v?
1
Suppose 0 = -5*y - 10 + 30. Suppose -l - 4 = 0, -y*g - l + 68 = -2*l. Suppose -2*b - q = -89, -3*q = 2*q + 5. Calculate the remainder when b is divided by g.
13
Let t(b) = -b**2 - 6*b + 3. Let q be t(-6). Suppose 4*v = q*s - 44, 3*s + 3*v = -s + 67. Suppose 3*c - 32 = 109. Calculate the remainder when c is divided by s.
15
Let y = 3 + 0. Let j = 23 + -16. Calculate the remainder when j is divided by y.
1
Let i(m) = -m**3 - m**2 + 4. What is the remainder when i(-2) is divided by (-6)/(-2) + 0/(-2)?
2
Let i(q) = 4*q - 6. Let a be -4 - (-1)/((-3)/(-36)). Suppose 3*d - 4*v - 39 = 15, 2*v + 48 = 3*d. What is the remainder when i(a) is divided by d?
12
Suppose 34 = -4*o + 90. Calculate the remainder when o is divided by 3.
2
Let x(f) = f - 10. Calculate the remainder when 36 is divided by x(20).
6
Suppose -3*t = -2*f - 42, -3*t - f = 4*f - 21. What is the remainder when t is divided by 4?
0
Suppose -10*v = 89 - 559. What is the remainder when v is divided by 13?
8
Let q(x) = x**3 + 4*x**2 - 5*x - 2. Let n be q(-5). Calculate the remainder when 14 is divided by -2 - n - (-4 - 1).
4
Let n(d) = d**2 + 5*d + 2. Let r be n(-7). Suppose 0 = 4*w + 2*s - 68, -s + r - 58 = -2*w. Calculate the remainder when 54 is divided by w.
16
Let b be (-4)/(-6) - (-6)/(-9). Suppose -6*v + 4*v - 2 = b. Calculate the remainder when 11 is divided by ((-7)/3 - v)*-3.
3
Let x(u) = -u**3 - 6*u**2 + 6*u - 7. Let t be x(-7). Suppose 5*m - 230 = -t*m. Calculate the remainder when m is divided by 16.
14
Let n be 194*(4 - 21/6). Suppose 3*d - n = 5. Calculate the remainder when d is divided by 12.
10
Suppose 0 = -3*c - 2*g + 5*g + 18, -5*g = 5. Suppose -2*t + 131 = -3*r, t + c*r = -38 + 136. What is the remainder when t is divided by 19?
16
Let q be -3 + -2*2/4. Let z be q*2/(-8)*3. Suppose -a = -5*j + 99, -z*j + 3*a + 37 = -j. What is the remainder when j is divided by 7?
6
Let w = 238 - 25. What is the remainder when w is divided by 18?
15
Let l(o) = o**2 - 3*o - 2. Calculate the remainder when 43 is divided by l(-3).
11
Suppose 0 = 2*c + 3*c. Suppose c = -y - 2*y + 21. Calculate the remainder when 18 is divided by y.
4
Suppose w - 7 + 2 = 0. Let x be (54/w)/((-1)/(-5)). Let h = -20 + x. What is the remainder when h is divided by 9?
7
Let t(v) = 4*v**2 + 0 - 5*v + 2*v + 5*v - 1. Let u be t(1). Suppose u*c = 3*a + 209, -a - 3*a = 12. What is the remainder when c is divided by 14?
12
Let s = 49 + -40. What is the remainder when 44 is divided by s?
8
Let c = -44 - -64. Let h = 1 + 1. Suppose 21 = 5*o - h*o. What is the remainder when c is divided by o?
6
Let p be ((-3)/4)/(1/(-4)). Suppose -6*o + 3*u + 11 = -2*o, p*u - 1 = -2*o. What is the remainder when 5 is divided by o?
1
Suppose 12 + 51 = 3*z. Let u = -18 + z. What is the remainder when 5/(0 + -1)*-2 is divided by u?
1
Suppose -3*q - 19 = -2*i - 69, -3*i + 58 = 5*q. What is the remainder when 81 is divided by q?
11
What is the remainder when 10 is divided by 10/3*48/40?
2
Suppose -9*w + 7*w + 292 = 0. What is the remainder when w is divided by 30?
26
Let i(d) = d**3 + 2*d**2 - 3*d - 5. What is the remainder when 1 is divided by i(-2)?
0
Let s be ((-28)/10)/(2/30). What is the remainder when 4 is divided by (0 - -1)/((-14)/s)?
1
Let i = 13 - -33. Calculate the remainder when i is divided by 24.
22
Let w(q) = q**3 + q**2 + q + 3. What is the remainder when 5 is divided by w(0)?
2
What is the remainder when -3 - (5*-32)/2 is divided by 20?
17
Let r(v) = -v - 10. Let x be r(-8). Let w(h) = -h. Let c(y) = -3*y. Calculate the remainder when c(-1) is divided by w(x).
1
Let v be (6/(-10))/(2/10). What is the remainder when 2 is divided by (4/v)/(8/(-12))?
0
Calculate the remainder when ((-6)/10)/((-5)/225) is divided by 15.
12
Let a = 15 - 7. Suppose 0 = -4*d - a. Calculate the remainder when 47 is divided by (-36)/d - (-2 - -4).
15
Suppose 0 = 10*m - 1808 + 268. Calculate the remainder when m is divided by 31.
30
Suppose 10*q = 12*q - 8. Calculate the remainder when 11 is divided by q.
3
Let p(n) = -n**3 + 4*n**2 + 6*n - 2. Let k be p(5). Suppose i - 2*z = 6, -2*i - k*i + 5*z = -50. What is the remainder when i is divided by 5?
4
Let j = 5 + 0. What is the remainder when 8 is divided by j?
3
Suppose -5*l + 5*p - 5 = 0, 10 - 32 = -2*l - 4*p. Suppose 2*c = -4*d + 16, 4*c = l*c - 4*d + 10. Calculate the remainder when 15 is divided by c.
3
Let v = -6 - -6. Let b(h) = -3*h + 2. Calculate the remainder when (-6)/(-4)*(10 - v) is divided by b(-2).
7
Let k(x) = 8 + 7*x - 2*x**2 + 3*x**2 + 0*x**2. Let y = -12 + 6. What is the remainder when k(y) is divided by 2?
0
Let t(z) = -z**2 - 7*z - 3. Suppose 0 = -2*i - 3*i + s - 32, 2*i = 4*s - 20. What is the remainder when 4 is divided by t(i)?
1
Let x(o) = o**3 - 14*o**2 + 12*o + 12. Let m be x(13). Let r(h) = -6*h. Let i be r(m). Suppose i + 48 = 3*b. Calculate the remainder when 33 is divided by b.
15
Suppose -4*w = -3*w - 5. What is the remainder when 18 is divided by w?
3
Let z(p) = p**2 - 2. Let l be z(0). What is the remainder when 7 - 0*(3 + l) is divided by 4?
3
Suppose -5*z - 96 = -0*t - 3*t, -3*z - 60 = -3*t. What is the remainder when (-3)/(-2)*(-420)/z is divided by 18?
17
Let h(f) = -f**3 - 7*f**2 - 9*f - 2. Suppose -29 - 16 = -5*x. Calculate the remainder when h(-6) is divided by x.
7
Suppose -w + 12 = 3*s, 4*w = 3*s - 0*w - 12. What is the remainder when 23 is divided by s?
3
Suppose -5*k + 3 + 12 = 0. Suppose k*y - 17 = 175. Calculate the remainder when y is divided by 22.
20
Let r = 0 + 2. Suppose r*y - 5*y = 0. Suppose y*u - 3 = -u. What is the remainder when 4 is divided by u?
1
Let m be (-1 - -2)*-1 - 0. What is the remainder when (m + 0)/(3/(-57)) is divided by (-3 - -2) + 3 - (-5)/1?
5
Let z be ((-6)/(-9))/(2/(-24)). Let p = 10 - z. Suppose -2*m - 17 = -3*w, 3*w - 14 = -4*m + 15. What is the remainder when p is divided by w?
4
Suppose 2*k = 3*k - 15. Let n = k - 4. What is the remainder when -5 + 23 + (0 - -1) is divided by n?
8
Let q = 43 + -16. What is the remainder when 107 is divided by q?
26
Let p(x) = -34*x + 24. What is the remainder when p(-5) is divided by 39?
38
Let r be 1 - 2/((-2)/3). Suppose -48 = m - r*m. Suppose 62 = i + i. Calculate the remainder when i is divided by m.
15
Suppose -3*h = -5*x - 41, -4*h + 5 = -2*x - 45. Suppose 0 = 3*z - 17 - 4. Calculate the remainder when h is divided by z.
5
Let p(j) = j**3 + 9*j**2 + 9*j + 4. What is the remainder when p(-7) is divided by 10?
9
Suppose 2*y + 2 = 62. Calculate the remainder when y is divided by 16.
14
Suppose 4*o - 2*t - 52 = 0, -3*t - 10 - 2 = 