- 1. Let h be g(1). What is the remainder when 130/8 + h/16 is divided by 9?
7
Let c(x) = 13*x**2 - 5. Calculate the remainder when c(-4) is divided by 12.
11
Let y be 6/4*(-8)/(-6). Let f be 11/((-231)/12) - 36/(-14). Suppose -f*h = y*h - 40. What is the remainder when 28 is divided by h?
8
Let g = 13 + 15. Suppose -140 = -8*k + g. What is the remainder when k is divided by 11?
10
Let d(p) = p**2 - p - 1. What is the remainder when d(-4) is divided by (-38)/(-4) + (-21)/(-14)?
8
Let a = 83 + -53. What is the remainder when 76 is divided by a?
16
Suppose -28 = -4*d + 48. Calculate the remainder when d is divided by 7.
5
Suppose 2*s - 134 = -0*x + 4*x, -s - 3*x = -62. What is the remainder when s is divided by 23?
19
Let m(c) = 8*c - 12. Let d be m(6). Let j = d + -17. What is the remainder when 54 is divided by j?
16
Let z be 193/4 - 2/8. Suppose -q = -5*q + z. What is the remainder when q is divided by 7?
5
Let r(a) = a**2 + 6*a - 3. Calculate the remainder when r(5) is divided by 11.
8
Suppose 2*t - 5*c - 4 + 5 = 0, 5*t + 3*c = 75. Suppose -t - 12 = -i. What is the remainder when i is divided by 13?
11
Let f be -3*(-1)/6*8. Suppose 0 = -0*j - 4*j + f, -2*j = 2*d - 32. What is the remainder when 42 is divided by d?
12
Let p(w) = 3*w**2 - 6*w + 6. Calculate the remainder when p(5) is divided by 14.
9
Calculate the remainder when -2*(836/(-8))/11 is divided by 3.
1
Let y(l) = -3*l**3 - 2*l**2 - l + 1. Let q be 0 + 1 - -2 - 2. Let r(t) = 10*t. What is the remainder when y(-2) is divided by r(q)?
9
Suppose -4*h - 1 + 29 = 0. Let p = 108 + -105. Calculate the remainder when h is divided by p.
1
Let w be ((-2)/(-4))/((-2)/(-4)). Suppose -1 = -u + w. Calculate the remainder when 16 is divided by 0 - (u*-5 + 1).
7
Suppose 2*q - 78 = -4*h, h = -3*q + 4*h + 126. What is the remainder when 163 is divided by q?
40
Suppose -7*c + 48 + 92 = 0. What is the remainder when 239 is divided by c?
19
Suppose -72 = -4*j - 48. What is the remainder when 27 is divided by j?
3
Suppose -4*f + 8 = -4*a, 2*a - 6*a + 2 = f. Calculate the remainder when 9/2 - 1/f is divided by 2.
0
Suppose -19*c + 23*c - 336 = 0. Let v = -35 + c. Calculate the remainder when v is divided by (-2)/8 + (-106)/(-8).
10
Suppose -5*l + 7 = -8. Suppose l*z = -8*g + 4*g, -3*z = -g - 15. What is the remainder when 13 is divided by 1 - 2 - (z - 12)?
6
Suppose 0 = -3*m + 2*m - u, 3*u + 16 = 5*m. Let j be 1 + -9 + 6/3. Let w = 10 + j. What is the remainder when w is divided by m?
0
Suppose 0 = 4*y - 2*b - 166, -15 = -11*b + 6*b. What is the remainder when y is divided by 23?
20
Let f(p) = -12*p + 11. What is the remainder when f(-8) is divided by 36?
35
Let r = -1 + 4. Suppose -2*y = -r*y + 56. Calculate the remainder when y is divided by 19.
18
Let f(g) = -5*g**3 - 29*g**2 - 51*g - 26. Let w(b) = -b**3 - 6*b**2 - 10*b - 5. Let u(k) = -2*f(k) + 11*w(k). What is the remainder when 14 is divided by u(-7)?
2
Suppose -4*i + 82 = -34. Calculate the remainder when i is divided by 10.
9
Let t be 70/15 - 4/6. Suppose -2*k - 32 = -t*k. Suppose p - 92 = -p. What is the remainder when p is divided by k?
14
Let i = 82 + -54. Suppose -g = -3*g + i. What is the remainder when 55 is divided by g?
13
Let s(x) = -x + 3. Let w be s(2). Suppose w = -3*p + 40. Calculate the remainder when p is divided by 8.
5
Suppose 6 = -0*x + x + o, -3*x = -2*o - 13. What is the remainder when x is divided by 4?
1
Suppose d = -19 + 16. Let r(v) = -v**3 + 2*v**2 + 7*v + 2. Calculate the remainder when 75 is divided by r(d).
23
Let v(n) = n**2 + n + 3. Calculate the remainder when v(4) is divided by 6.
5
Let z = -87 - -148. Calculate the remainder when 12 is divided by 6/27 + z/9.
5
Suppose 0 = -6*a + 171 + 33. What is the remainder when 100 is divided by a?
32
Suppose 0 = -5*g + 4*r - 101, -2*r - 110 = 5*g + 3*r. Let l = -20 - g. Calculate the remainder when l is divided by ((-1 + 2)*-1)/(-1).
0
Let v(k) = k**3 + 8*k**2 + 8*k - 5. What is the remainder when 35 is divided by v(-6)?
16
Suppose -9*j + 24 = -5*j. What is the remainder when 15/6*(0 + j) is divided by 8?
7
Suppose -3*y + 500 = -5*c, -y = y - 3*c - 335. Let h = -120 + y. Calculate the remainder when h is divided by 19.
17
Suppose 3*c = -2*c + 60. Calculate the remainder when 43 is divided by c.
7
Let b(n) = 2*n**3 - n**2 - 6*n. What is the remainder when 107 is divided by b(3)?
26
Suppose -2*s + 2*v = -48, -2*s + 0*s = -5*v - 63. What is the remainder when s is divided by 10?
9
Let h be ((-9)/(-6) - 2)*-4. Calculate the remainder when 385/10 - 1/h is divided by 13.
12
Let o = 242 + -146. Suppose -3*u - 271 = -6*z + 2*z, 0 = -5*u - 5. Let s = o - z. What is the remainder when s is divided by 10?
9
Suppose -3*l = 4*s - 141, 4*l = 3*s - 34 - 78. What is the remainder when s is divided by 13?
10
Let p = 8 - 6. Calculate the remainder when 2 is divided by p.
0
Let r(c) = -c**3 + 3*c**2 + 3. Suppose 7*g = 3*g + 44. What is the remainder when g is divided by r(3)?
2
Let h = 5 - 3. Suppose 193 = h*o + 63. Calculate the remainder when o is divided by 22.
21
Let z = 2 - -14. Let m(y) = y + 1. Let p be m(-1). Suppose -t - n + 47 = p, 5*t - n - 231 = -2*n. What is the remainder when t is divided by z?
14
Suppose 0 = c + c. Suppose c = 5*v - 4*r - 1, -3*r - 1 = -5*v + 1. Calculate the remainder when (47 - v)/(1 + 1) is divided by 12.
11
Suppose 5*p = -2*b + 155, 0 = -5*p - 4*b + 74 + 81. What is the remainder when p is divided by 9?
4
Suppose 5*j = 5*u + 173 - 43, 4*j = -3*u + 76. What is the remainder when j is divided by 5?
2
Let l be 9*-2*(-2)/4. Let d = l + -2. Calculate the remainder when d is divided by (-2)/1*(-12)/8.
1
What is the remainder when 49 is divided by 5 + (-2 - -2)/(-4)?
4
Let s = -3 + 3. Suppose 0 = -s*t - t + 3. What is the remainder when 43 is divided by 2*7 + -2 + t?
13
Let z(n) = 2*n**2 - 5*n + 3. Let x be z(-4). Suppose t - 10 = x. Suppose 7*s - t = 2*s. What is the remainder when 38 is divided by s?
12
Let u(x) = -2 + 29*x**2 - 3 + 6 + 2*x. What is the remainder when u(-1) is divided by 15?
13
Let s be (-2)/4 - 2/4. Let f be 2 - -2 - 2 - -503. What is the remainder when s/(-2) + f/10 is divided by 13?
12
Let c(i) = 5*i + 2. Let r(j) = j + 5. Let a be r(7). Suppose -t = -4*t + a. Calculate the remainder when c(t) is divided by 12.
10
Suppose -4*s + 39 = -77. Suppose -8*x + 32 = -6*x. What is the remainder when s is divided by x?
13
Let a = -93 + 134. Suppose 5*q = -0*b - b + a, 4*q - b - 40 = 0. Let p(h) = 4*h**3 - 4*h**2 + 3*h + 3. What is the remainder when p(2) is divided by q?
7
Suppose 16*x = 6*x. Let l(s) = -3*s**2 - 5*s - 40. Let b(a) = -4*a**2 - 7*a - 60. Let t(q) = -5*b(q) + 7*l(q). What is the remainder when 38 is divided by t(x)?
18
Suppose 3*r - 6 = 2*q, -5*q - 4*r = -38 + 7. What is the remainder when q is divided by 3?
0
What is the remainder when 42 is divided by (-14)/21 + 29/3?
6
Let h = -3 + -2. Let o(q) = q + 6. Let c be o(h). Let f(u) = 18*u**2 - u. Calculate the remainder when f(c) is divided by 6.
5
Let i = 57 + -44. Let g be (1 + (-5)/2)*2. Let o(u) = -u**2 - 5*u - 1. Calculate the remainder when i is divided by o(g).
3
Suppose 2*u + 4*o - 108 = 0, u - 8 = 2*o + 26. Calculate the remainder when u is divided by 15.
14
Let f = -99 - -122. Suppose -j + 110 = 21. Calculate the remainder when j is divided by f.
20
Let k(g) = g**3 + 2*g**2 - 4*g - 3. Let u be k(-3). Let s(l) = -l**3 + l**2 - l - 1. Let v be s(u). What is the remainder when 2 - (v - 0 - 12) is divided by 8?
7
Let x(w) = 6*w + 2. Suppose u - 29 = 5*t, 4*t + 131 = 3*u - 0*u. Let q = 87 - u. What is the remainder when q is divided by x(3)?
18
Let q = -28 + 47. Calculate the remainder when q is divided by (-1)/((-4)/22)*2.
8
Let j(l) = l**3 + 7*l**2 - 4*l - 8. Let h(y) = 4*y**3 + 20*y**2 - 13*y - 24. Let v(b) = -2*h(b) + 7*j(b). What is the remainder when v(8) is divided by 14?
12
Suppose -7*p + 45 = -4*p. What is the remainder when 59 is divided by p?
14
Suppose j + 145 = -4*v, 5*j = 2*v - 628 - 141. Let w be (-310)/25 - 4/(-10). What is the remainder when j/(-4) + 3/w is divided by 13?
12
Let y(c) = -3*c. Let n be -2*(0 - (-21)/6). Calculate the remainder when y(n) is divided by 8.
5
Let c be 7 + ((-6)/3 - 0). Let h = -5 + c. Suppose 0 = -q + 6 - h. Calculate the remainder when 