 when g is divided by 15.
14
Suppose -15 = -24*p + 345. Calculate the remainder when 461 is divided by p.
11
Let s(a) = 28*a**2 - a. What is the remainder when s(5) is divided by 24?
23
Let p = -33 + 38. Let h(r) = -15*r + 1. Let k be h(p). Let n = k + 120. What is the remainder when n is divided by 12?
10
Let r = -641 + 650. Suppose -4*b - 3*s = -b - 66, 54 = 2*b - 3*s. Calculate the remainder when b is divided by r.
6
Let o(y) = -2*y**2 + y. Let g be o(-1). Let z(l) = -l**2 + 1 - 4 - l - 7*l. Calculate the remainder when 23 is divided by z(g).
11
Suppose -x - 11 + 17 = 0. Suppose 0 = -x*c + 66 + 36. What is the remainder when c is divided by 4?
1
Let d = 10 + -5. Suppose o = -g - 1, -4*g + 1 = -3*g - o. Suppose -4*m - c = -3, g*m + 3*m + 2*c + 4 = 0. What is the remainder when d is divided by m?
1
Suppose -4*r - 5*y = -39, 3*y + 2*y = 2*r - 57. Suppose 17*c - 1 = r*c. Let u(o) = -2*o - 4. Calculate the remainder when u(-3) is divided by c.
0
Suppose 0 = -1129*j + 1135*j - 84. Calculate the remainder when 55 is divided by j.
13
Let s = -94 - -54. Let d = s - -59. Calculate the remainder when 53 is divided by d.
15
What is the remainder when 44 is divided by 203/5 + 98/245?
3
Suppose 3*z = 11 + 10. Suppose -8*f + 34 = -z*f. What is the remainder when f is divided by 7?
6
Suppose 28*o - 235 = 23*o. Calculate the remainder when o is divided by 17.
13
Let r = 19 + -7. Let t = 26 - r. Let f(a) = 55*a**2. Calculate the remainder when f(-1) is divided by t.
13
Suppose -2*g - 6 = 4*l + 10, 4*g = 3*l + 23. Suppose g*q - 6 = 16. Calculate the remainder when (-5)/((-125)/515) + 2/5 is divided by q.
10
Let a be (-3647)/(-28) - 1/4. Let o = a + 19. What is the remainder when o is divided by 30?
29
Let w = 2175 + -2083. Calculate the remainder when w is divided by 26.
14
Suppose 9*m - 12*m + 13 = p, -3*p + 33 = 3*m. Suppose -s - 10 = -57. What is the remainder when s is divided by p?
7
Let w be 1/(2/6*1). Suppose -5*g + 121 + 166 = -w*j, 8 = -2*j. Calculate the remainder when g is divided by (-2)/2*(-56)/4.
13
Suppose 4*f - 24 - 80 = 0. Let t = f - 12. Calculate the remainder when 8/4 + 6*4 is divided by t.
12
Let f(b) = 10*b - 1. Calculate the remainder when f(3) is divided by 14.
1
Suppose x - 19 = -3*a, -3*x - 2*x + 59 = -3*a. Suppose b + x = y, -y = 3*b - 2*b - 3. What is the remainder when 22 is divided by y?
6
Let y = -37 - -39. Suppose y*v - 6 = -0*v, 49 = 2*i + 5*v. Calculate the remainder when i is divided by 7.
3
Let q(x) = x**2 + 18*x + 37. Let y be q(-16). What is the remainder when -47*(2 - y) - -2 is divided by 18?
17
Suppose 4*i + 18 - 74 = 0. Let m(o) = o + 9. What is the remainder when i is divided by m(-5)?
2
Let d be 25/2*2*1. Suppose 4*p + 34 = -34. Let i = p + d. Calculate the remainder when i is divided by 3.
2
Suppose -5*s = 2*v + 285, -69 = 4*s + 4*v + 171. Let q = 83 + s. Calculate the remainder when 10*(q/8 - 3) is divided by 4.
1
Let a be ((-5)/(-2) + -1)*-6. Let o be 2/(6/a - 0). What is the remainder when 7/(3/(0 - o)) is divided by 5?
2
Let x = 3499 - 3432. What is the remainder when x is divided by (-1)/(-1) + 23 + 1?
17
Let g = -88 - -133. What is the remainder when 87 is divided by g?
42
Let m be (18/(-21))/((-2)/(-14)). Let k(z) = -2*z + 3. Let r be k(m). Let t = 26 - r. What is the remainder when t is divided by 3?
2
Let h(r) = -r**2 - 11*r - 14. Suppose 0 = -3*q + 4*s + 199, 2*q = -2*q + 5*s + 264. Calculate the remainder when q is divided by h(-6).
13
Suppose -3*c + 24 = 5*h, -3*c + h + 6 = -0. Suppose c*w = w + 10. Suppose 5 = w*x - 5*p, -2*p = 4*x + 2*p - 12. What is the remainder when 8 is divided by x?
0
Let x(b) = 2*b - 30. Let i be x(17). Calculate the remainder when ((-74)/4)/(2/i - 1) is divided by 10.
7
Let z = 126 - 105. Let x(k) = k**2 + 7*k + 6. Let s be x(-6). Suppose -5*j + 4*j + 62 = s. Calculate the remainder when j is divided by z.
20
Let s(w) = 16*w**2 + 45*w - 195. Calculate the remainder when s(4) is divided by 15.
1
Let r(h) = -h**3 - 7*h**2 + 5. Let z be r(-5). Let s be 415/z + 2/9. Let o = 5 - s. Calculate the remainder when 54 is divided by o.
12
Let j = 665 - 655. What is the remainder when 198 is divided by j?
8
Let m(l) = -l + 3. Let f be m(-3). Let w(x) = 3*x**2 + 3*x. What is the remainder when ((-53)/(-5))/(f/30) is divided by w(-3)?
17
Let q = 538 - 516. What is the remainder when 236 is divided by q?
16
Let q = 2 - 0. Suppose -q*h + 72 = 2*h. What is the remainder when (2 + (1 - 1))/((-84)/(-2982)) is divided by h?
17
Let v = -63 + 84. What is the remainder when v is divided by (16/6)/((-4)/(-18))?
9
What is the remainder when 1072 is divided by 1078/231*(-66)/(-2)?
148
Suppose 0 = -2*h + 51 + 21. Let j = h + -5. Calculate the remainder when j is divided by 17.
14
Let x(q) = -6*q**2 + 19*q + 7. Let h be x(8). Let s = 337 + h. What is the remainder when s is divided by 23?
20
Let q(k) = -k**3 - 5*k**2 + 4*k - 7. Let r be q(-7). Let v = -57 + r. Calculate the remainder when 8 is divided by v.
2
Let f(s) = s**3 - 7*s**2 - 10*s - 9. Let g(w) = -3*w**3 + 21*w**2 + 29*w + 27. Let y(m) = 7*f(m) + 2*g(m). What is the remainder when 134 is divided by y(9)?
44
Let b = -267 - -696. Calculate the remainder when b is divided by 18.
15
Let p(c) = -3*c**3 - 5*c - 8*c**3 + 0*c**3 - 2 + 3*c. Calculate the remainder when 21 is divided by p(-1).
10
Let z(r) = 18*r - 24. What is the remainder when z(6) is divided by 19?
8
Suppose -3*u = 4*h - 33, -2*h + 4*u + 19 = 3*u. Let r = -52 - -96. What is the remainder when r is divided by h?
8
Suppose 3*y = 2*y - 8. Let g = y + 6. Calculate the remainder when ((-9)/15)/(g/20) is divided by 4.
2
Let l(o) = -o**2 + 10*o - 14. Let z be l(8). Calculate the remainder when z/(-4)*-30 + 2 is divided by 6.
5
Suppose 0 = -5*q + 3*c + 36, 3*c + 10 - 4 = 0. Suppose -4*v + 3*m = -108 - 27, -m = -2*v + 67. What is the remainder when v is divided by q?
3
Let t(n) = -n**3 - 8*n**2 - 12*n - 2. Suppose 4*j - 78 = 18. Calculate the remainder when t(-8) is divided by j.
22
Let t = -1247 - -1264. What is the remainder when 320 is divided by t?
14
Suppose 5*j + 3 = g, 4*g - 4*j = j + 12. Let q(t) = 3*t**2 + 5*t - 8. Calculate the remainder when 97 is divided by q(g).
29
Suppose 5*w + 0*m - 35 = -4*m, 3*w - 21 = m. Let o(s) = 7*s**3 - 16*s**2 + 3*s + 4. What is the remainder when w is divided by o(2)?
1
Suppose -2*c + 34 + 39 = -v, v + 108 = 3*c. Calculate the remainder when c is divided by 32.
3
Let n = 19 + -14. Let f be 18 + (3/1 - n). Suppose 5*g - 71 = -f. Calculate the remainder when 21 is divided by g.
10
Let p = 190 + -143. Calculate the remainder when 608 is divided by p.
44
What is the remainder when 90 is divided by (-336)/(-24) - (-1 + -1)?
10
Let a(s) = 5*s**2 - 25*s + 10. Calculate the remainder when a(9) is divided by 20.
10
Suppose -2*l - 33 = l. Let m be (-96)/(-18)*3/2. Let p = m - l. Calculate the remainder when p is divided by 10.
9
Let g = 110 - 65. Suppose g = 3*f + 2*f. Let j = 5 + f. What is the remainder when 41 is divided by j?
13
Suppose -4*u - 4658 = -5*d, 1880 = 7*d - 5*d + 4*u. Calculate the remainder when d is divided by 13.
11
Let f = -17249 - -17546. Let k(s) = -3*s**3 - 3*s**2 + s - 1. Calculate the remainder when f is divided by k(-3).
47
Suppose j = -5*s + 188, j - 11 = -3*s + 103. What is the remainder when 18/(-24) - 582/(-8) is divided by s?
35
Let c = -280 - -383. What is the remainder when 204 is divided by c?
101
Suppose 12*w - 9*w - 78 = 0. Suppose 2*g = -2 - w. Let o = g + 46. What is the remainder when o is divided by 12?
8
What is the remainder when 60 is divided by ((-51)/68)/((-3)/36)?
6
Let q = 49 + -31. Suppose n + 22 = 3*w, -2*n + 29 = 4*w - 3*n. What is the remainder when q is divided by w?
4
Let s = 77 + -32. Suppose 0 = 8*t - 557 - 211. Let g = t - s. What is the remainder when g is divided by 13?
12
Let v(m) = 33 + 23*m + 38 - 26*m - m**3. Calculate the remainder when v(0) is divided by 18.
17
What is the remainder when (-10693)/(-23) - (-1)/((-115)/(-10)) is divided by 122?
99
Let b(j) = -j**2 + 0*j**2 + 5*j - 11*j - 2*j + 26. Calculate the remainder when 66 is divided by b(-9).
15
Suppose 14 = a + 44. Let f = 34 + a. Calculate the remainder when 15 is divided by f.
3
Let o be (-8)/(-36) + 4/(-18). Calculate the remainder when 1