
5
Let u = -8 + 15. Let j(r) = -r**2 + 10*r - 3. Calculate the remainder when 69 is divided by j(u).
15
Let n(f) = -f + 7. Suppose 1 = -b + 2*b. What is the remainder when n(6) is divided by b?
0
Let g be (-2)/(-3) + 174/9. Suppose -2*f + 162 = 4*l, -121 + g = -2*l - 5*f. Suppose -3*i + i = -20. Calculate the remainder when l is divided by i.
8
Suppose -2*a - 2*a = 2*j - 68, -3*j + 102 = 4*a. What is the remainder when j is divided by 18?
16
Suppose -18 = -h - 16. Suppose 38 = -5*l + 4*p, -l - 13 = -0*l + p. Calculate the remainder when 13 is divided by (5/h)/((-5)/l).
3
Let f(x) = x**2 - 13*x + 12. Let g be f(12). Suppose -9*z + 12*z - 48 = g. What is the remainder when z is divided by 6?
4
Let v(u) = 2*u**2 - 7*u + 1. Suppose 12 = f + f. Let o be v(f). Let t = o - 15. Calculate the remainder when t is divided by 6.
4
Let u(r) = -r**2 - 9*r + 17. Let m = -4 - -15. Calculate the remainder when u(-7) is divided by m.
9
Suppose 4*n = -4*q + 112, -4*q + 5*q - 76 = -3*n. Suppose 3*h = n - 3. Let y(w) = -4*w**3 - 3*w**2 - w + 1. What is the remainder when h is divided by y(-1)?
1
Let h(f) = f - 12. Let z be h(-6). Let u = z - -33. What is the remainder when 2/(-7) + 401/7 is divided by u?
12
Suppose 0 = 5*j + 34 + 1. Let l(f) = -2*f - 8. Calculate the remainder when 17 is divided by l(j).
5
What is the remainder when 65 is divided by ((-1)/(-2))/((-11)/(-484))?
21
Let r = 1 - 0. Let q be (-1 - -37 - 1) + r. What is the remainder when ((-6)/(-8))/(1/q) is divided by 10?
7
Suppose -3 + 7 = 4*f. Calculate the remainder when (-60)/(-25) - 2/5 is divided by f.
0
Let s be 212/18 + (-8)/(-36). Suppose 75 = 5*v - 5*j, 2*j = -4*v + s + 42. Calculate the remainder when v is divided by (-4)/(-10)*(-2 + 22).
6
Let z be 0*(-1 + 3/6). Let x(a) = -10 + a + 20 + 17. Calculate the remainder when x(z) is divided by 7.
6
Let g = 0 - 6. Let o = -3 - g. Suppose 0 = -o*c + 179 - 50. Calculate the remainder when c is divided by 15.
13
Suppose -15 = 5*t - 75. What is the remainder when t is divided by 3?
0
Calculate the remainder when (-20)/(-1) - (60/(-5))/4 is divided by 2.
1
Let p(a) = -1 - 5*a**2 + 0 + 4*a**2 + 3 - 2*a - a**3. Calculate the remainder when p(-3) is divided by 9.
8
Calculate the remainder when 57 is divided by (-1 + 0 + -59)*(-6)/12.
27
What is the remainder when 5/((-135)/6) - (-3160)/45 is divided by 24?
22
Let b be (-6)/(3 - 0) - 0. Let a be 1 - b*(-3)/6. Suppose y + 3*o - 50 = o, 2*y + 2*o - 94 = a. Calculate the remainder when y is divided by 15.
14
Suppose -33*a + 37*a - 52 = 0. Calculate the remainder when 63 is divided by a.
11
Let k = 37 - 20. Let b be (-64)/(-20) + (-1)/5. Suppose -3*u - 4*x + 127 = 0, -21 - 116 = -b*u - 2*x. What is the remainder when u is divided by k?
15
Calculate the remainder when 115 is divided by 59/2 - (-3)/12*2.
25
Let r be (-34)/(3/(-18)*-4). Let d = r - -73. Suppose 254 = 6*f - 2*f + 2*j, 3*f - 3*j = 195. What is the remainder when f is divided by d?
20
Suppose -3*a = -9*a + 30. What is the remainder when 8 is divided by a?
3
What is the remainder when 360/3 + -1 + -3 is divided by 39?
38
Suppose 0*l + 64 = 4*l. Calculate the remainder when 61 is divided by l.
13
Let i = 24 - 15. What is the remainder when (-3 + 2/1)*-35 is divided by i?
8
Let l(g) = g - 11. Let d be l(11). Suppose -5*a = c + 14, 3*c - 2*a - a - 30 = d. Calculate the remainder when (-2 - (-9)/c)*-34 is divided by 6.
5
Suppose -3*b = -b - 10. Let o(u) = -u**3 - 8*u**2 - 7*u - 4. Let g be o(-7). Let f = g + 17. What is the remainder when f is divided by b?
3
Suppose -2*l + 44 = 3*v, 4*v - 2*l - 60 = -4*l. Calculate the remainder when v is divided by 9.
7
Suppose 5*h = 4*g + 89 + 152, 4*g + 196 = 4*h. Calculate the remainder when h is divided by ((-2)/5)/(2/(-80)).
13
Let c = 5 - 3. Suppose -2*n - 3*n = t - 134, c*n - 4*t - 36 = 0. Suppose 71 = 3*u + n. What is the remainder when 29 is divided by u?
14
Suppose 17 = 5*n + z, z = 5*n - z - 11. Suppose -n*y - 2*y = -25. Suppose -3*k = -5*t + 30, -2*t - 2*k + 2 = 6. Calculate the remainder when y is divided by t.
2
Let c = 3 - 3. Suppose c = m - 1 - 0. Let p = 0 + m. Calculate the remainder when 1 is divided by p.
0
Suppose -2*i + 2*o + 34 = 0, -2*o + 4 = i + 2. Calculate the remainder when 33 is divided by i.
9
Let y(k) = 3*k + 7. Let l be y(-6). Let h = l + 30. Calculate the remainder when h is divided by 11.
8
Suppose 0 = -3*g + 4 + 26. Calculate the remainder when g is divided by 5.
0
Let w(b) = b**3 - 2*b - 1. Let m be w(2). Suppose -5*k + 9 + 1 = -m*g, 2*k + 2*g = 20. Suppose -2*y = -31 + 13. Calculate the remainder when y is divided by k.
4
Suppose 3*t = -6 - 6, s = -3*t + 21. What is the remainder when s is divided by 12?
9
Let c(h) = 4*h + 47. Calculate the remainder when c(-6) is divided by 5.
3
Let i be (-1 + -3)/((-16)/72). Suppose -6 = -2*r + i. Suppose -4*q + 5*c + 78 = 0, 3*c + 17 = q + 1. What is the remainder when q is divided by r?
10
Let u(r) = -5*r + 54. What is the remainder when 29 is divided by u(10)?
1
Let o be 0/(-5) - -186*4. What is the remainder when (-2)/(-9) + o/54 is divided by 4?
2
Suppose 31 = -2*i - 5. Let m = i + 13. Let v = 12 + m. What is the remainder when v is divided by 3?
1
Let y = 67 - 35. Calculate the remainder when y is divided by 17.
15
Let g(p) = 2*p**2 - p - 1. Calculate the remainder when 16/72 - 230/(-18) is divided by g(2).
3
Suppose 51 = 3*k - 3*c, -2*k = 3*k + 4*c - 67. Calculate the remainder when 59 is divided by k.
14
Suppose 14 = 2*k - 24. Calculate the remainder when (-1)/((-216)/(-220) - 1) is divided by k.
17
Calculate the remainder when 150 is divided by 272/(-34)*(57/4)/(-3).
36
Suppose 152 = 4*i - 36. What is the remainder when i is divided by 12?
11
Let h(j) = -j - 1. Let o = -1 - 0. Let s(r) = -11*r**3 - r**2 + r + 1. What is the remainder when s(o) is divided by h(-5)?
2
Let t = -28 + 46. Calculate the remainder when 35 is divided by t.
17
Suppose 5*w + 0*q - 2*q = 33, 5*w + 4*q = 9. Suppose 4*n + w*l + 8 = 3*l, -4*l = n - 5. Calculate the remainder when 55 is divided by ((-2)/n)/((-6)/(-171)).
17
Suppose 6*i - 55 = -5*i. What is the remainder when 36 is divided by i?
1
Let s = 245 + -146. What is the remainder when s is divided by 34?
31
What is the remainder when (-3)/(42/(-4)) - 4809/(-147) is divided by 7?
5
Let m(c) = c + 8. Let i be m(-8). Suppose i = -0*y + 5*y - 45. What is the remainder when 17 is divided by y?
8
Let h be ((-1)/(-2))/(3/6). Suppose -h = -4*v + 87. Calculate the remainder when v is divided by 6.
4
Let u(w) = w**3 - w**2 - 2. Let a be u(2). Suppose 2*f + 86 - 247 = -j, 3*f - 241 = -a*j. What is the remainder when f is divided by 21?
18
Suppose -o = -0*o - 3. Calculate the remainder when o is divided by 3.
0
What is the remainder when ((-5)/(-2))/(-1 + 30/28) is divided by 12?
11
Suppose -4*r = -r + 9. Let t = r - -17. What is the remainder when 39 is divided by t?
11
Suppose 2*c + 146 = 4*z, -2*z + 12 = -4*c - 52. What is the remainder when z is divided by 11?
5
Let z(h) = h + 15. Calculate the remainder when 47 is divided by z(9).
23
Let w(z) = 36*z + 3. Let x be w(6). Suppose 0 = -5*p + 176 + x. What is the remainder when p is divided by 27?
25
Suppose -i + 3*i + 112 = 4*c, 0 = 4*i - 8. Suppose q - c = -3*s, 0*q = q - 2*s - 4. Let j = -6 + q. What is the remainder when 15 is divided by j?
7
Suppose 581 - 24 = 3*y - 5*w, w - 781 = -4*y. Calculate the remainder when y is divided by 49.
47
Let v = 24 + -15. Let f = 9 + -4. Suppose -2*l = 5*g - 33, 10*g - 5 = f*g + 5*l. Calculate the remainder when v is divided by g.
4
Let u(k) = -k**2 - 15*k - 1. What is the remainder when u(-14) is divided by 8?
5
Let s(t) = -t + 4*t - t**3 + 6*t**2 + 0*t. Suppose -d - 2*d = -102. Calculate the remainder when d is divided by s(6).
16
Let x(z) = 1 - 7 - 1 + z + 2*z. Calculate the remainder when x(5) is divided by 74/14 - 8/28.
3
Let x(n) = -n**3 + 14*n**2 + 7. What is the remainder when x(14) is divided by 3?
1
Suppose -2*o + 41 - 35 = 0. What is the remainder when 15 is divided by o?
0
Let z(q) = q**2 - 4*q + 17. What is the remainder when z(5) is divided by 5?
2
Let v = -15 + 62. Suppose 5*c = 3*z + 32, 2*z + 3*z - 4*c = -49. What is the remainder when v is divided by (-1 - z)*2/1?
15
What is the remainder when (-5)/(-4 - (-2 + 