69, -4*n - 6*k = -2*k - 72. What is the remainder when n is divided by 11?
10
Suppose 66 = 5*p + 6. Let l be 16/6*p/8. Calculate the remainder when 22/8 - (-1)/l is divided by 1.
0
Let u = 38 + -26. Suppose -l = 2*i + 15, 0*l + 5*l + 10 = 3*i. Let n(d) = d**2 - 3. What is the remainder when n(i) is divided by u?
10
Suppose -7*c = 35 - 119. Let t = -1 - -1. Suppose y + 130 = 4*d - y, 4*d - 4*y - 124 = t. Calculate the remainder when d is divided by c.
10
Suppose 449 = 5*k - q, 2*k - 5*q - 194 = -q. Calculate the remainder when k is divided by 23.
20
Let v(z) = 7*z - 9. Suppose 0 = 2*a + 2*a - 84. Calculate the remainder when v(7) is divided by a.
19
Let o(q) = -q**3 - q**2 - q + 1. Let l(y) = y**2 + 7*y + 9. Let g be l(-6). Let m = -2 + g. What is the remainder when o(0) is divided by m?
0
Suppose 21 = -3*z - 4*o, -5*z = -2*o - 4 + 13. Let h(l) = 3*l**2 + 2*l - 5. What is the remainder when 79 is divided by h(z)?
15
Suppose 70 = 85*f - 80*f. Calculate the remainder when f is divided by 3.
2
Suppose -q + 56 = -37. Let w = 136 - q. Let n = -26 + 37. What is the remainder when w is divided by n?
10
Let k(c) = 3*c - 6. Suppose 4*o - 3*o - 4*s = 38, -3*o + s + 70 = 0. Calculate the remainder when o is divided by k(6).
10
Let y(f) = -f + 17. Let p be y(14). Suppose p*c + c - 16 = 0. Calculate the remainder when 7 is divided by c.
3
Let p = 6 + -6. Suppose 4*m + p = 8. Calculate the remainder when m is divided by 2.
0
Let i = -4 - -8. Suppose 3*d + 11 = 5*y - 46, -d + 32 = i*y. Calculate the remainder when y is divided by (2/4)/(2/20).
4
Let a(v) = -v**2 + 17*v - 3. What is the remainder when 37 is divided by a(16)?
11
Suppose -168 = k - 2*g, -4*g = g - 10. What is the remainder when 52 is divided by k/(-9) - (-12)/(-54)?
16
Let b = -2 - -2. Suppose 3*v = -2*a + 155, -4*a + 2*a - 5*v + 149 = b. Suppose -5*p + y = -a, 4*p + 5 = y + 71. What is the remainder when p is divided by 6?
4
What is the remainder when 99 is divided by (-3)/(-6)*(-2 - -22)?
9
Suppose -9*n + 13*n - 180 = 0. What is the remainder when n is divided by 16?
13
Let l(j) = j**3 - j**2 + 50. Let w(o) = o - 2. Let q be w(2). Suppose 0 = -0*p + 3*p - 51. Calculate the remainder when l(q) is divided by p.
16
Let x = 1 - 2. Let p = 5 + -5. What is the remainder when 32 is divided by 33*(p - x)/3?
10
Calculate the remainder when 19 is divided by (-50)/20*28/(-10).
5
Suppose 0 = -i + 8*i - 161. Calculate the remainder when i is divided by 6.
5
Let y(t) = -t**3 + t + 1. Suppose -4*r = -2*r. Calculate the remainder when 2 is divided by y(r).
0
Suppose -5*t - 31 = 4*x - 96, -t + 5*x = -13. Calculate the remainder when 29 is divided by t.
3
Suppose -v + 135 = 2*b, 0 = 5*v - 5*b - 208 - 497. What is the remainder when v is divided by 35?
34
Suppose -2*l + 18 = -0*l. Let n(j) = j**2 - 9*j + 9. Suppose -4*d = 2*k - 14, 5*d - 29 = d + 3*k. Calculate the remainder when n(l) is divided by d.
4
Calculate the remainder when (70 - -3) + -3 + 0 is divided by 18.
16
Suppose -4*f + 38 = -2*m, -4*m = 3*f - 10 - 13. Calculate the remainder when 9 is divided by f.
0
Let w(q) = q**2 + 22*q + 47. Let o(m) = -3*m + 2. Calculate the remainder when o(-3) is divided by w(-20).
4
Suppose -2*q - 2*q + 12 = 0. Let v(f) = 2*f**2 - 3*f + 3. Calculate the remainder when v(2) is divided by q.
2
Suppose 2*h + 5*u = 56, -2*u + 4 = -4. What is the remainder when 106 is divided by h?
16
Let q be (-83)/((1 + -2)*-1). Let a be (-4)/(-12) - 121/3. Let i = a - q. Calculate the remainder when i is divided by 11.
10
Suppose -4*i = 5*u + 3, -3*u + 5*u = -i - 3. Suppose -i*f + 109 = -4*r, -f + 31 = -6*r + 2*r. Let g = f - 24. What is the remainder when 57 is divided by g?
12
Let o be 40/(-15)*-8*3. Calculate the remainder when (-8)/12 - o/(-6) is divided by 6.
4
Suppose 13*s = 8*s + 60. Calculate the remainder when 21 is divided by s.
9
Suppose 0*s = s - 32. Calculate the remainder when 61 is divided by s.
29
Suppose 2*b + 100 = 4*b. Suppose 3*z = 5*y - b, 0*z + z = y - 8. What is the remainder when 37 is divided by y?
11
Let n(v) = -2*v + 1. What is the remainder when n(-2) is divided by 2?
1
Suppose -k = 2*f + k - 84, -4*f + 2*k = -174. Calculate the remainder when f is divided by (-66)/(-8) + 1 + (-14)/56.
7
Let z be 15/6 - (-1)/(-2). What is the remainder when 32 is divided by 280/24 - z/3?
10
Let m(j) = -j**2 + 7*j - 4. Suppose -f = -4*f + 9. Calculate the remainder when m(5) is divided by (-4)/12*f + 4.
0
Let o(l) = -l**3. Suppose 4 = g + 4*u - 5, -3*u + 11 = 5*g. Let r be o(g). Let t(b) = 46*b**2 - b - 1. What is the remainder when t(r) is divided by 16?
14
Let g = -30 + 13. Let f = 32 + g. Let l = f - 7. What is the remainder when 23 is divided by l?
7
Let t(h) = h**2 + 4*h + 5. Let v be t(-4). Suppose o + 5 = v*u + 78, 0 = 4*o - u - 235. What is the remainder when o is divided by 15?
13
Let a be (-6)/(-1) - (-5)/5. Let t(s) = s**2 - 8*s + 7. Let p be t(a). Suppose -4*l + 3*l + 14 = p. Calculate the remainder when 40 is divided by l.
12
Calculate the remainder when (-110)/(-6) - (-4)/6 is divided by 7.
5
Let r(c) = c**2 - 4*c. Let y be r(-6). Suppose -3*f - 9 + y = 0. What is the remainder when 66 is divided by f?
15
Let c(l) = 2*l - 5. Let x be c(4). Suppose -100 = -x*a - 16. Let u = a + -15. Calculate the remainder when 38 is divided by u.
12
Suppose 4*y = 0, 3*a - 83 + 2 = -y. Calculate the remainder when a is divided by 15.
12
Suppose 5*z = 4*z + 80. Suppose 5*x - 50 - z = 0. What is the remainder when x is divided by 7?
5
Let b = 43 + -31. Suppose 3*u + b = 0, -2*p + 6*p - 468 = 3*u. Calculate the remainder when p is divided by 29.
27
Let m = 34 - 20. Calculate the remainder when -2 + 20*2 + 2 is divided by m.
12
Suppose l + l = 14. Let w(q) = -q**2 + 9*q - 2. What is the remainder when 35 is divided by w(l)?
11
Suppose 4*d - 61 - 31 = 0. What is the remainder when 114 is divided by d?
22
Calculate the remainder when (2 + 3)*10 + (-3 - -4) is divided by 26.
25
Suppose 2*n + 2 = 26. Let t(u) = u**2 - 13*u + 27. What is the remainder when t(15) is divided by n?
9
Suppose 20 = -4*a, -6*a = 4*b - 4*a - 2. Suppose -10 = 4*x - 2*x, 0 = -b*l - 3*x. What is the remainder when 0/2 + 8 + 1 is divided by l?
4
Suppose -33 = -14*d - 19. Suppose 2*t = -y + 2, 0 = -0*t + t + y. What is the remainder when t is divided by d?
0
Let c = 45 - 29. Let k = -9 + c. Suppose j = -m + 12, k = 3*j + 1. What is the remainder when m is divided by 4?
2
Let v be ((-4)/(-10))/(4/(-40)). Let q be (-27)/2 + 2/v. Let r = 24 + q. What is the remainder when 37 is divided by r?
7
Let o be (4 - 2) + (-1 - 51). Let y be 71/((0 - 1) + 2). Let k = y + o. What is the remainder when 61 is divided by k?
19
Let u(z) = 12*z. Let n be u(-2). Calculate the remainder when (n/(-5))/((-6)/(-20)) is divided by 9.
7
Let y(z) = 8*z + 1. What is the remainder when y(5) is divided by 14?
13
Suppose -32 = -3*b + 2*a + 70, 4*a - 148 = -5*b. Calculate the remainder when b is divided by 14.
4
Let a(l) = -28*l**3 + l**2 - 1. Suppose 0 = -2*d - 8 - 0. Let w = -5 - d. What is the remainder when a(w) is divided by 10?
8
Let c(v) = 8*v**2 - 7*v. Let w be c(-6). Suppose -w = -d - 4*d. Calculate the remainder when d is divided by 23.
20
Suppose 2*j + 3*y - 69 = 23, -4*y = 5*j - 244. What is the remainder when j is divided by 18?
16
Calculate the remainder when 83 is divided by (-86)/(-4)*2 - 1.
41
Suppose -45 = 4*v - 125. Suppose 9 = -t + 4*u, -2*t + 2 = -2*u - u. Calculate the remainder when v is divided by t.
6
Let p = 13 - -9. Let l(s) = -4*s**2 + s + 1. Let x be l(-1). Calculate the remainder when p is divided by 4/(((-6)/x)/3).
6
Let u(n) = -n**2 + n + 13. Let i(h) = 37*h**2 + 2*h - 1. Suppose y - 1 = 5*r, -y - 1 = 2*r - 2. What is the remainder when i(y) is divided by u(0)?
12
Suppose 23*a - 55*a = -640. Suppose 0 = -4*q - 8 - 0. What is the remainder when a is divided by 21/(-6)*1*q?
6
Let a(n) = -n**2 + 8*n - 2. Let h(v) = 2*v**2 - 2. Let s be h(-2). Let d be a(s). Let i = d + 7. What is the remainder when i is divided by 6?
5
Suppose 3*t + 2*q = 4 + 133, 2*t + q = 90. Let j be 1 + -4 - (2 + -4). What is the remainder when t is divided by (j*1)/((-6)/90)?
13
Suppose 7*b - 3 = 4*b. Suppose 3 = 2*f + b, m - 14 = -4*f. Let p = 4 + 0. Calculate the remainder when m is divided by p