the remainder when 43 is divided by k/48 - (-45)/4?
10
Suppose -4*j - 17 = 3. Let d(r) = r**3 + 6*r**2 + 4*r + 2. What is the remainder when ((-1903)/346)/(3/(-6)) is divided by d(j)?
4
Let l(m) = -m**2 + m + 2. Let v be l(0). Suppose -15*g - 65 = -20*g. Suppose j + n - 4*n - g = 0, j - v*n = 11. Calculate the remainder when 25 is divided by j.
4
Let c = -3 - -1. What is the remainder when 18 is divided by -2 + (c - -7) - -1?
2
Let s = 347 + -132. What is the remainder when s is divided by 12?
11
Suppose 0 = 5*z + 10, -5*d - 36*z + 32*z = -507. What is the remainder when d is divided by 8?
7
Suppose 3*z - 2*z + 2*t - 35 = 0, 2*t = z - 35. Suppose 0 = k + 3 - 9. Calculate the remainder when z is divided by k.
5
Calculate the remainder when -3 - (41*(-1 - 0) - -4) is divided by 13.
8
Let a be ((-6)/(-2))/((-110)/18 + 6). Let t = -21 - a. Suppose -4*m + 2*m = -42. Calculate the remainder when m is divided by t.
3
Suppose -3*p + 3*y + 33 = 0, -2*p + 10*y - 13*y + 22 = 0. What is the remainder when p is divided by 9?
2
Let m(j) = j**3 - 15*j**2 + 21*j - 10. Let z be m(14). Suppose 14 = -w - i + 35, -z = -4*w - 5*i. Calculate the remainder when 32 is divided by w.
15
Calculate the remainder when 7/(-28) - ((-645)/(-4))/(-5) is divided by 21.
11
Suppose -478 = -13*u + 1225. Calculate the remainder when u is divided by 23.
16
Let u = -81 - -225. Calculate the remainder when u is divided by 38.
30
Let g = -70 + 58. Let c = g + 27. What is the remainder when 55 is divided by c?
10
Let f(d) = -2*d**2 - 23*d - 16. Let k be (0 - -5)/((-2)/(-10)). Let m = 0 + k. Calculate the remainder when m is divided by f(-10).
11
Let p(l) = 5*l**2 - 5*l - 40. Calculate the remainder when p(-5) is divided by 32.
14
Suppose 4*v + y = 28, 0*v - 4*v + 3*y = -12. Calculate the remainder when 71 is divided by (-72)/(-10)*15/v.
17
Let c(x) = -3*x - 10. Let y be 3/(-9) - 46/6. Calculate the remainder when 30 + (2 - -1) + 6 is divided by c(y).
11
Let r(q) = 3*q**2 + 19*q + 62. What is the remainder when r(-5) is divided by 30?
12
Calculate the remainder when 50 is divided by 15 + (-30)/135 + 38/9.
12
Let h(u) = u + 4. Let s be h(-7). Let n = -19 - -16. What is the remainder when (2 - (n + s))*1 is divided by 5?
3
Suppose a - 3 = -9. Let l(j) = -7*j + 4. What is the remainder when l(a) is divided by 12?
10
Suppose -4*n = -18 - 18. Suppose 4*x - p + 17 = 0, -2*x - p = p + 6. Let j = x + n. Calculate the remainder when 9 is divided by j.
4
Let j = 154 + -122. What is the remainder when 124 is divided by j?
28
Suppose 0*v = 3*v + 4*m - 67, -v - m + 21 = 0. Suppose -94 = o - 2*o. Suppose -t = t - o. What is the remainder when t is divided by v?
13
Let b = -1038 + 1133. What is the remainder when 199 is divided by b?
9
Calculate the remainder when 19 is divided by 2592/240 + (-8)/10.
9
Suppose 96 = 137*s - 134*s. What is the remainder when 95 is divided by s?
31
Let x(z) = z**3 + 14*z**2 - 5*z - 212. What is the remainder when 29 is divided by x(-13)?
7
Let a = 7 - -1. Suppose a*s - 266 = 6*s. Calculate the remainder when s is divided by 34.
31
Suppose 1 = t - 10*l + 11*l, -2*t + 2*l + 22 = 0. What is the remainder when t is divided by 3?
0
Suppose -66*f + 93*f = 21762. Calculate the remainder when f is divided by 54.
50
Suppose 43 = 9*f - 29. Let y = -3 + 6. Let g = y + 10. Calculate the remainder when g is divided by f.
5
Suppose -4*o - 682 = -5*u - 172, -5*u = -5*o - 510. What is the remainder when 508 is divided by u?
100
Let g be (-22)/(-10) - 1*(-6)/(-30). Let h = 45 - g. Calculate the remainder when h is divided by (-8 + 2 - -1)*-3.
13
Calculate the remainder when 43 is divided by 12/4 - (-29 + 8).
19
Let z(s) = 7*s - 120. What is the remainder when z(23) is divided by 31?
10
Let p be 3600/44 + (-8)/(-44). Let u = -57 + p. Calculate the remainder when 198 is divided by u.
23
Suppose 1913 - 5432 = -17*a. Calculate the remainder when a is divided by 64.
15
Suppose 4*i - 5*t - 313 = 2*i, 0 = -4*t - 4. What is the remainder when i is divided by (1054/(-51))/((-2)/3)?
30
Suppose x + 2*b = 11, b - 31 = -2*x + 6. Suppose j = x + 30. Let l(r) = r + 3. What is the remainder when j is divided by l(10)?
12
Let d = -31 + 12. Let l = 136 + -177. Let v = d - l. What is the remainder when 43 is divided by v?
21
Suppose w - 3*w = 96. Let q = w + 83. What is the remainder when q is divided by 18?
17
Suppose 10*t - 5*t - 27 = -2*z, 50 = 3*z - 2*t. Let o = 16 - -47. Calculate the remainder when o is divided by z.
15
Suppose -58*o + 471 = -61*o. Let v = -109 - o. What is the remainder when v is divided by 10?
8
Let v(n) = -n**3 + 2*n**2 - n + 35. Suppose p + 4*b - 8 = -p, 4*p + 2*b - 4 = 0. Calculate the remainder when v(p) is divided by 20.
15
Let m(v) = 3*v - 10. Let i be 0/(-5) - (-28 + 1). Suppose b = 0, g - 14 = 2*b + i. Calculate the remainder when g is divided by m(8).
13
Let y = -201 + 285. Let v = 109 - y. What is the remainder when v is divided by 7?
4
Let k be (-3)/15*2 - (-287)/5. Let b = k + -53. What is the remainder when b is divided by 3?
1
Let m be ((-3837)/(-12) - 4) + (-2)/(-8). Suppose 0 = 4*x - 20 - m. What is the remainder when x is divided by 17?
16
Let u(l) = -12*l + 4. Let s be u(3). What is the remainder when 59 is divided by ((-20)/(-8))/(-5)*s?
11
Suppose -2*o + 3*n + 275 = 0, -4*n + 7*n = 3. What is the remainder when o is divided by 40?
19
Suppose -23*h + 120 + 869 = 0. What is the remainder when 2620 is divided by h?
40
Suppose 24 = 4*r - 60. Suppose 674 = 4*g - 1034. Suppose -5*d - 2*d + g = 0. What is the remainder when d is divided by r?
19
Calculate the remainder when -2*((-294)/4 + 7) is divided by 27.
25
Let j = 17 - 8. Let v = 6 + j. What is the remainder when 41 is divided by v?
11
Let i(o) = o + 1. Suppose 0 = -2*f - 0*f + 14. Suppose -f = -3*z + 5. What is the remainder when i(z) is divided by 2?
1
Let y(a) = 14*a**2 - 2*a + 5. Let v be y(5). Let t = v + -203. Calculate the remainder when t is divided by 36.
34
Let d = -2 + 5. Suppose -2*h - 107 = -d*h - 4*v, -v = -3*h + 282. Calculate the remainder when h is divided by 16.
15
Let y(l) = l**2 - l - 63. Let q be y(-14). Let b(r) = -r + 104. Let w be b(0). Let f = q - w. What is the remainder when f is divided by 15?
13
Suppose 3*d - d - 108 = 0. Suppose -254 = -4*b - 198. Calculate the remainder when d is divided by b.
12
Let r = -3254 + 4872. Calculate the remainder when r is divided by 12.
10
Suppose 0 = 2*u - 225 + 39. Let s = u + -51. Suppose -5*o - 74 = -5*r + 26, 0 = -2*r + 4*o + s. Calculate the remainder when r is divided by 11.
8
Suppose 227*y - 1030 = 3737. Let c = -23 - -35. Calculate the remainder when y is divided by c.
9
Let k(v) = 7*v**3 - 3*v**2 - 9*v - 11. Let s(r) = -4*r**3 + r**2 + 4*r + 5. Let f(j) = 4*k(j) + 9*s(j). What is the remainder when 19 is divided by f(-1)?
1
Calculate the remainder when (-2 + 152/12)*84/16 is divided by 21.
14
Suppose -3*f - 3*s = -21, 28 = 4*f - 0*f + 3*s. What is the remainder when 74 is divided by f?
4
Let j be ((-10)/(-15))/((-8)/(-36)). Suppose 0 = y - j*y + 8. Let t(k) = k - 3. Calculate the remainder when y is divided by t(5).
0
Let o(t) = -44*t - 570. What is the remainder when o(-36) is divided by 338?
0
Let x(o) = -o**3 - 8*o**2 - o - 8. Let a be x(-8). Suppose 2*n = q - 6*q + 44, -n - q + 16 = a. What is the remainder when 83 is divided by n?
11
Let r = 6 + 6. Calculate the remainder when r is divided by ((-9)/(-5))/(162/540).
0
Suppose -5*x - 3*o + 33 = o, 0 = 5*x - 5*o - 15. Suppose 0 = i - x*i + 144. What is the remainder when i is divided by 1/(-3)*-19*3?
17
Suppose 138 = 5*u + u. Calculate the remainder when 24 is divided by u.
1
Suppose 3*u - 18 = -t - 1, -19 = -3*u - 2*t. Suppose -5*c - 15 + 55 = 3*f, 0 = -u*c + 5*f. Let i(d) = 2*d - 4. What is the remainder when c is divided by i(3)?
1
Let z = 965 - 932. Calculate the remainder when 1517 is divided by z.
32
Suppose 57 = 4*h + 5*a, 3*h - 9*a + 11*a - 48 = 0. Suppose 8 = 4*c - 4. Suppose c*f + 1 - 22 = 0. Calculate the remainder when h is divided by f.
4
Let g(u) = -u**2 - 16*u + 14. Let y be g(-17). Let m = 36 - y. Calculate the remainder when m is divided by 5.
4
Let v = -5 + 14. Let j = v + -4. Suppose c = 5*s + 7, -9*c + 2*s + 10 = -5*c. What is the remainder when j is divided by c?
1
