1. What is the remainder when 106 is divided by r?
10
Let o = 551 - 375. Calculate the remainder when o is divided by 61.
54
Let s(j) = j**2 - 4*j + 5. Let c = 9 + -3. Calculate the remainder when s(7) is divided by c/10 - (-201)/15.
12
Let b be 2 + -4 - -4 - (-2 - 27). Suppose -6*n + 47 = -b. Calculate the remainder when 20 is divided by n.
7
Let a(w) = 2*w - 3. Let p be a(10). Let b(u) = u**3 - 16*u**2 - 16*u - 1. Calculate the remainder when b(p) is divided by 9.
7
Let c(u) = -71*u**2 - 3*u - 4. Let k be c(-1). Let t = k + 77. What is the remainder when 24 is divided by t?
4
Suppose -4*n + 8*n = -148. Let q = n + 48. What is the remainder when 43 is divided by q?
10
Let t(w) = -w**3 - 14*w**2 + 16*w + 20. Let b be t(-15). Suppose -6*h + 252 = b*n - 4*h, 45 = n - 5*h. What is the remainder when 95 is divided by n?
45
Calculate the remainder when (-4)/((-5)/(96 + 4)) is divided by 41.
39
Suppose -2*b - 44*o + 90 = -40*o, 103 = 3*b - 2*o. Suppose 2*h = 4*h - 20. Calculate the remainder when b is divided by h.
7
Let m be 4 - (-5)/(15/(-9)). Suppose 7 = 2*f + m. Suppose f*q - 7*q + 28 = 0. What is the remainder when 32 is divided by q?
4
Suppose 0 = -m, 2*f + f - 42 = 2*m. Let q = -4 - -9. What is the remainder when f is divided by q?
4
What is the remainder when -3 - (558 + -2)/(-4)*1 is divided by 48?
40
Let h(p) be the third derivative of p**5/60 + p**4/3 + p**3 - 25*p**2. What is the remainder when h(-8) is divided by 5?
1
Let n(w) = w**3 + 7*w**2 - 14*w. Let f be n(-8). Calculate the remainder when 69 is divided by 3/((f/(-70))/(-8)).
34
Suppose 20723 = 15*a + 8*a. What is the remainder when a is divided by 113?
110
Suppose -4*d = 16, -d + 25 = -n - 29. Let z = -49 - n. What is the remainder when z is divided by 4 + (-1 - 4/(-2))?
4
Calculate the remainder when 9*1074/108 + (-2)/(-4) is divided by (-4)/10 - (-585)/25.
21
Let n(c) = -8*c - 182. What is the remainder when n(-30) is divided by 4?
2
Let f be (4 - (-2)/(-6)) + 2/6. Suppose -5 = -f*q + 15. Calculate the remainder when 6 is divided by q.
1
Let i = 118 - -143. Calculate the remainder when i is divided by 38.
33
Suppose -19*x = -16*x + 219. Let z = x - -86. What is the remainder when 37 is divided by z?
11
Suppose -6*d + 2*d - 3*q + 79 = 0, 69 = 4*d + q. What is the remainder when d is divided by 5?
1
Let u = -93 + 160. Suppose 0 = -5*c - 8 - u. What is the remainder when (-1 - 0)*(2 + c) is divided by 4?
1
Suppose -67*v = -62*v - 5. Let k(i) = -i**3 - 4*i**2 + 6*i + 7. What is the remainder when k(-5) is divided by v?
0
Let w(l) = l**2 - 5*l - 4. Let d be w(-1). Calculate the remainder when 69 is divided by (-104)/(-3) - d/(-6).
34
Suppose 2*f = 3*h - 452, -5*f = -2*f + 3*h + 663. Let d = -200 - f. Let s = 24 - 12. What is the remainder when d is divided by s?
11
Let d = -5 - -37. Suppose 3*b - 25 = d. What is the remainder when 73 is divided by b?
16
Let w = 96 - -948. Suppose -o + 758 = 3*d - 5*o, 3*o = -4*d + w. Calculate the remainder when d is divided by 20.
18
What is the remainder when 67 is divided by (321/(-6) - 5)*16/(-36)?
15
Let j(b) = -16*b - 3. Let a = -25 - -33. Suppose 0 = -5*q - 5*p + 20, 3*p - p + a = 0. What is the remainder when j(-2) is divided by q?
5
Let f(w) = -7*w + 7. Suppose -2*p - 2*p + 20 = 0. Suppose 10*o - p*o + 35 = 0. Calculate the remainder when f(o) is divided by 19.
18
Let a = 15 + 12. Let g be (8/12)/(6/a). Suppose 2*s + g*s - 165 = 0. Calculate the remainder when s is divided by 17.
16
What is the remainder when (-37 + 18)/(0 + -1) + 4 is divided by 4?
3
Suppose c - 24 = 2. What is the remainder when 545 is divided by c?
25
Suppose -4*r = -6*r - 2*q - 204, 0 = -5*r + q - 486. Let x = 213 + r. Calculate the remainder when x is divided by 39.
37
Suppose 0*v - 5*v = -s + 23, 3*v - 23 = -s. Suppose 0 = 3*z + 8 - 140. Let a = z - s. Calculate the remainder when a is divided by 6.
3
Let u(o) = o + 33. What is the remainder when 146 is divided by u(2)?
6
Let i(r) = -26*r + 437. What is the remainder when i(0) is divided by 8?
5
Let k(z) = 10*z**2 + 41*z + 159. What is the remainder when k(-4) is divided by 16?
11
Let z = 226 + -172. Calculate the remainder when 370 is divided by z.
46
Let l(i) = i + 8. Let t be l(-5). Suppose -4*w - t*b = 11, 7*w + 5*b + 15 = 2*w. What is the remainder when 26 is divided by 13 + 3 + w/1?
12
Let o be -8 + (4/(-1))/(9 - 7). Let j = 9 - o. Calculate the remainder when j is divided by 5.
4
Let j(x) = 2*x**2 + 11*x + 2. Let v be j(-8). Suppose 12 - v = -3*u. Calculate the remainder when 187 is divided by u.
7
Let n(r) be the first derivative of r**4/4 - 7*r**3/3 + 9*r**2/2 - r + 1. Let k(v) = -28*v - 248. What is the remainder when k(-10) is divided by n(6)?
15
Let u = -20 + 21. Let g be ((-5)/(20/8))/u. Calculate the remainder when g + 1 + 2 - -41 is divided by 15.
12
Let f(o) = 4*o - 14. Let k be f(5). What is the remainder when 12 is divided by (-4)/k*24/(3 + -7)?
0
Let w(x) = -x**2 - 3*x + 5. Let k be w(0). Suppose 5*i = -4*d + d + 75, k*i - 4*d = 110. What is the remainder when i is divided by 11?
7
Let f be ((-3)/2 + 9/2)*1. Suppose 4*l - 18 = f*l. Calculate the remainder when 67 is divided by l.
13
Suppose -b - 4*r + 37 = -2*r, 3*b - 3*r - 75 = 0. Calculate the remainder when b is divided by 15/2*(1 - -1).
14
Let m = -2 + 0. Let y = 85 + -35. Calculate the remainder when y is divided by ((-26)/6)/(m/6).
11
Suppose 19*n - 24*n - 10 = 0, 3*x = -3*n + 123. What is the remainder when 131 is divided by x?
2
Suppose -72*h = -4911 - 3225. Let o = 16 + 13. Calculate the remainder when h is divided by o.
26
Let i be 7/21 - (-86)/3. Suppose 5 = -4*j + i. Let c = j - 3. What is the remainder when 5 is divided by c?
2
Let z(l) = l**2 - 11*l - 12. Let r be z(-7). Let o = 125 - r. Calculate the remainder when o is divided by 7.
4
Let v = 224 + -175. Calculate the remainder when v is divided by 21.
7
Let v(d) = 4*d**2 + d + 3. Let n(h) = 8*h**2 - 8*h - 3 + 5*h**2 + h**3 + 5 + 7*h. What is the remainder when v(3) is divided by n(-13)?
12
Suppose 0 = -6*y + 10*y - 128. Let f = 44 - y. Calculate the remainder when 21 is divided by f.
9
Suppose 5*j = -0*j + 35. Suppose 4*a = j*a + 93. Let o = a + 60. What is the remainder when 86 is divided by o?
28
Let m be (-42)/(-4)*16/(-12). Let g = 17 + m. Calculate the remainder when 16 is divided by (3 - 3) + g - -2.
1
Let a = 413 - 228. What is the remainder when a is divided by 95?
90
Suppose -5*w = -w - 84. Let n = -10 + w. Calculate the remainder when 18 is divided by n.
7
Let p(o) = o**2 + o - 10. Let m(c) = -2*c**2 - 2*c + 20. Let v(y) = 4*m(y) + 7*p(y). Calculate the remainder when 59 is divided by v(0).
9
Calculate the remainder when (-10 - -7)/(588/595 - 1) is divided by 43.
40
Suppose 27 + 5 = w. Suppose 2*z - 4 = w. What is the remainder when 52 is divided by z?
16
Suppose -37*p + 2376 = -4*p. Calculate the remainder when 279 is divided by p.
63
Let j(t) = t**2 - 8*t + 11. Let u be j(7). What is the remainder when (-16)/(-4) - u - -21 is divided by 8?
5
Let k = 296 + -266. Calculate the remainder when k is divided by 8.
6
Calculate the remainder when (-60)/(-210) + 1788/14 is divided by 41.
5
Let x(w) = 2*w - 4. Let j be x(4). Suppose -i - j*o + 30 = 5, 5*i - 4*o = 101. Suppose 10*s + 2605 - 3205 = 0. What is the remainder when s is divided by i?
18
Suppose -4*o - o - 15 = k, 4*k + o = -79. Let a = k - -43. What is the remainder when 113 is divided by a?
21
Suppose 4*b - 9 = b. Suppose -q - b*q + 272 = 4*r, 0 = 4*q + 2*r - 276. What is the remainder when q is divided by 24?
22
Let p = 14 + -7. Let w = 5582 + -5567. Calculate the remainder when w is divided by p.
1
Let b(f) = 33*f - 1. Let n be 2*(4 - (1 - 0)). Suppose n = 2*a - 12. What is the remainder when b(1) is divided by a?
5
Calculate the remainder when (-172)/3*(-63)/84 - -5 is divided by 9.
3
Suppose -5*m - 2*s + 65 = -0*m, -5*s = -m - 14. Suppose -13 = -5*z - i, -5*i + 25 - 50 = -5*z. Calculate the remainder when m is divided by z.
2
Let f = 588 + -551. Calculate the remainder when f is divided by 7.
2
Suppose -18*l + 2704 = -10*l. What is the remainder when l is divided by 10?
8
Let c = -2308 + 2324. Calculate the remainder when c is divided by 14.
2
Suppose -6*u + 1378 = 1228. What is the remainder when 66 is divided