mainder when 12 is divided by a?
4
Let i(c) = -c**2 + 20*c + 23. What is the remainder when i(15) is divided by 20?
18
Suppose 4*s + k = 9, 4*s - 5*k = -0*k + 27. Calculate the remainder when 8 is divided by s.
2
Suppose -72 - 102 = 3*p. Let w = p + 101. What is the remainder when w is divided by 15?
13
Let l(a) = -5*a - 4. Let u be l(-3). Suppose -2*v + 3*g - u = 0, -g - 1 = -3*v - 0*v. What is the remainder when v is divided by 1?
0
Let m = 47 - 29. Let r = m + 5. What is the remainder when 67 is divided by r?
21
Let n = -65 - -143. What is the remainder when n is divided by 27?
24
Suppose 0 = 2*o + 4, 2*j + 4*o = 12 + 16. Calculate the remainder when 69 is divided by j.
15
Let h(z) = -z**3 - 6*z**2 - z + 3. Suppose -3*b - 3 = 0, 0 = -4*o - 0*b - 3*b + 481. Suppose -4*p - 17 = -o. Calculate the remainder when p is divided by h(-6).
8
Suppose -2*q = -5 + 3. Let n(z) = z**3 + z + 1. Let t be n(-1). What is the remainder when (-2)/(2/1)*t is divided by q?
0
Let b(n) = -n + 2. Let q be b(-2). Suppose 3*g - 3*o - 87 = 0, -q*o + 34 = g + g. Calculate the remainder when 49 is divided by g.
24
Let f = 56 - 31. Calculate the remainder when f is divided by 7.
4
Let c be 0 - -1*(7 + 2). Let v = c + -1. Suppose -4*j + 3*a = -8*j - 3, 4*j + 2*a - 2 = 0. Calculate the remainder when v is divided by j.
2
Let x(y) = -7*y + 1. Let b be x(-7). Suppose -9*p = -4*p - 30. Suppose p*k - b = k. What is the remainder when 38 is divided by k?
8
Let z(v) = v**3 + 6*v**2 - 18*v - 5. Let g = 12 - 5. What is the remainder when z(-8) is divided by g?
4
Let f(u) = u**2 + 10*u + 9. Let j be f(-7). Let x be (-1)/(-6) + (-70)/j. Let c = x - -2. Calculate the remainder when c is divided by 3.
2
Let k be 3 - (-2 + 3)*1. Suppose k*q - 14 = 24. Calculate the remainder when q is divided by 5.
4
Suppose 235 = 3*j + 2*j. Suppose -4*b + j = 7. Calculate the remainder when 37 is divided by b.
7
Let r(h) = 5*h - 5. Let f be r(10). Suppose 4*b - 1 = 3*m + 34, -2*b + 3*m = -25. Suppose b*t = -0*t + f. What is the remainder when 16 is divided by t?
7
Let h = 59 + -32. What is the remainder when 159 is divided by h?
24
Let n = -5 + 8. Calculate the remainder when 6 is divided by n.
0
Suppose r - 9 = -1. Let l = -59 + 20. Let b = 68 + l. Calculate the remainder when b is divided by r.
5
Suppose c - 33 = -3*v, -7*v - c + 57 = -2*v. Let i be (-4)/2*(-3)/2. Suppose -3*f - f - i*j = -v, -j = 0. Calculate the remainder when 4 is divided by f.
1
Let x(n) = n + 7. Let d be x(-5). Suppose 0 = d*m - 12. Let w = 10 - m. What is the remainder when 10 is divided by w?
2
Let p be ((-12)/(-16))/((-1)/(-4)). Let i(w) = 16*w + 1. Calculate the remainder when i(p) is divided by 17.
15
Let z be -4 + (1 - -1)*-1. Let n = 40 + z. Calculate the remainder when n is divided by 18.
16
Let k = -292 + 417. Suppose k = -3*q + 8*q. What is the remainder when 97 is divided by q?
22
Let r be 0/((0 - -4)/4). Suppose q - 5 - 3 = r. Calculate the remainder when 31 is divided by q.
7
Let b(y) = -y**3 - 8*y**2 - 10*y + 3. Calculate the remainder when b(-7) is divided by 14.
10
What is the remainder when 28 is divided by (14/4 + -2)*10?
13
Let c = -32 - -45. What is the remainder when 48 is divided by c?
9
What is the remainder when 24 is divided by ((-15)/(-2))/((-1)/(5 + -7))?
9
Suppose -3 = -4*v - 5*m, -v = -2*v + 2*m + 4. Suppose 0 = -3*s - v*s + 5. Calculate the remainder when 1 is divided by s.
0
Let n = 54 - 30. Suppose -2*s - 136 = 2*s. Let a = -21 - s. Calculate the remainder when n is divided by a.
11
Let w(d) = -41*d**3 - 2*d**2 - 2*d - 1. Let s(r) = r + 2. Let b be s(-3). What is the remainder when w(b) is divided by (18/(-12))/((-6)/56)?
12
Let n(l) = 1 + 3 - 3*l - 6. What is the remainder when n(-8) is divided by 12?
10
Suppose -4 = -z - 2. Suppose 0 = -5*h - 2*g + 23, -z*h + 5*g = -h + 17. Suppose -h*b - 57 = -6*b. Calculate the remainder when b is divided by 5.
4
Let v(c) = -c**2 - 13*c + 19. What is the remainder when 36 is divided by v(-13)?
17
Suppose -7*u - 118 = -4*h - 5*u, -u = -3. What is the remainder when 110 is divided by h?
17
Let m(d) = -2*d - 5. Calculate the remainder when 7 is divided by m(-4).
1
Suppose 3*u - 70 = u. Let d = u + -16. Suppose 3*k - 27 = -6. Calculate the remainder when d is divided by k.
5
Let k be 3 - 2 - 13*1. Let n = 3 + -2. Let d = n - k. What is the remainder when 24 is divided by d?
11
Let i = 20 + -13. Suppose -c = 3*s + i, 5*c + 6*s = 2*s - 2. What is the remainder when 6 is divided by c?
0
Let i be (-1)/(-5) + (-38)/(-10). Suppose 4*g - i = 24. Suppose -8 = 5*q - 108. What is the remainder when q is divided by g?
6
Let y = 110 - 74. Calculate the remainder when y is divided by 19.
17
Suppose -8*n + 267 - 99 = 0. What is the remainder when 59 is divided by n?
17
Suppose y = 3*y. Suppose y = 2*g + 5*n - 11, 5*n + 1 - 3 = g. Calculate the remainder when (-1 + 16/3)*g is divided by 5.
3
Let o = 10 + -4. Let k(a) = -a**2 + 15*a - 6. Calculate the remainder when k(7) is divided by (-3)/o - 35/(-2).
16
Let u(m) = -6*m. Let p = 12 - 5. Let d(i) = 19*i + 1. Let b(k) = p*u(k) + 2*d(k). What is the remainder when b(-3) is divided by 8?
6
Suppose 3*m + m - 3*j - 57 = 0, -3 = -3*j. What is the remainder when 56 is divided by m?
11
Suppose 4*f - 6 = 3*f. Calculate the remainder when 14 is divided by f.
2
Let h = -128 + 147. Suppose -5*g - v + 271 = 0, -159 = 3*g - 6*g + 3*v. What is the remainder when g is divided by h?
16
Suppose 2*p = 6*p - 80. What is the remainder when 77 is divided by p?
17
Let g(x) = x**3 - 12*x**2 + 10*x + 12. Let o be g(11). Suppose 14 = v - 4*u + o, -4*v = -5*u - 63. Calculate the remainder when 66 is divided by v.
15
Let o = 84 + -70. Calculate the remainder when o is divided by 9.
5
Let a = -3 + 13. What is the remainder when a is divided by 3?
1
Suppose h = -4*i + 4 + 10, 4*h - 4*i + 44 = 0. Calculate the remainder when h/(-10) - 92/(-5) is divided by 11.
8
Let o = 3 - 1. Let s(t) = t**3 - 2*t**2 - 2*t + 2. Let y be s(o). Calculate the remainder when 64 is divided by (-43 - 1)/(y*1).
20
Suppose 3*l + 8 = 50. Suppose 2 - l = -y. What is the remainder when 34 is divided by y?
10
Suppose -5*b + 0*t - 2*t + 25 = 0, -15 = -3*b + 3*t. Suppose 0*o + 255 = b*o. What is the remainder when o is divided by 13?
12
Suppose 3*f - 5*z + 21 = 4*f, 5*f - 1 = z. Let r(l) = 41*l + 1. What is the remainder when r(f) is divided by 11?
9
Let o be 0/((-4 + 0)/(-4)). Suppose o*x + 2*x = 26. What is the remainder when x is divided by 4?
1
Let f = 1 - -1. Let i(k) = 8*k + 198. Calculate the remainder when i(-24) is divided by f.
0
Let k(j) = -2*j**2 + 2*j - 4. Let c be k(3). Let b = -9 - c. Calculate the remainder when 25 is divided by b.
4
Let k(p) = p**3 + 4*p**2 - 2*p - 3. Let a be k(-4). Suppose 0 = a*w - 8 - 2. What is the remainder when 2 is divided by w?
0
Suppose -3*o = -12, -5*d + 0*d = -4*o + 6. Suppose 4*p - 3*f = d*f + 1, 0 = -4*p + 4*f. Calculate the remainder when 42 - p - (-4 + 1) is divided by 24.
22
Let s(q) = q**2 - 5*q - 3. Let b be s(6). Suppose -b + 20 = 2*y + c, 32 = 5*y - c. Calculate the remainder when 1*(24 - 2 - 2) is divided by y.
6
Let x(g) = -10*g + 1. Let v = 307 - 287. What is the remainder when v is divided by x(-1)?
9
Let l = 5 - 1. Suppose 16 + l = c. Calculate the remainder when c is divided by 0 - (0 - (8 - 1)).
6
Let n(t) = 11*t**2 - t - 4. Let f(j) = -j**3 - 7*j**2 + 7*j - 10. Let y be f(-8). Calculate the remainder when n(y) is divided by 11.
9
Let v = 72 + -62. Suppose -63 = -4*u + g, 25 = 3*u - 5*g - 35. Suppose b - 4 = u. Calculate the remainder when b is divided by v.
9
Let j = 18 - 12. Let s = -11 + -28. Let v = 56 + s. Calculate the remainder when v is divided by j.
5
Let y(w) = -183*w - 4. Calculate the remainder when y(-1) is divided by 30.
29
Let q = 51 + 20. Let g = q + -50. Suppose -b - b - 1 = -w, 3*w - 2*b - 23 = 0. Calculate the remainder when g is divided by w.
10
Let g(k) = -12*k + 1. Let d be (-5)/(((-10)/(-8))/(-5)). Suppose -p - 7 + d = 0. Calculate the remainder when g(-3) is divided by p.
11
Suppose 4*a + 39 = 4*g - 3*g, 5*a = -25. What is the remainder when 36 is divided by g?
17
Let l be 0/(-6 + (-3 - -6)). Suppose 0 = -2*g + 2*s + 12, -2*s = -l*s + 8. Calculate the remainder when g is divided by 2.
0
Let f(q) = q