 the remainder when n is divided by 13.
10
Suppose -5*a + 3*y - 5*y = -164, -5*y = -3*a + 86. Let w = a + -18. Let r = 1281 - 1227. What is the remainder when r is divided by w?
12
Suppose 16*x - 209 = 5*x. Let h(a) = a**3 + 7*a**2 - 3*a + 7. Let s be h(-7). What is the remainder when x is divided by s/6*6/4?
5
Let q = 205 - 6. What is the remainder when q is divided by 25?
24
Suppose 2*o - 10 = 0, -5*r - o = -6*r + 19. What is the remainder when 766 is divided by r?
22
Suppose -194*q = -188*q - 1002. Calculate the remainder when q is divided by 20.
7
Suppose -3*w = -2*f + 86, -5*f + 6 = 1. Let k = 48 + w. Suppose k*n = 22*n - 52. What is the remainder when n is divided by 7?
5
Let l(m) = m**3 - 13*m**2 + 13*m - 4. Let x be l(12). Suppose 9*o - 2 = x*o. Suppose -16 = -o*w - 0*w. Calculate the remainder when 47 is divided by w.
7
Let v(k) = -7*k + 3. Let z = 3583 + -3569. Calculate the remainder when v(-5) is divided by z.
10
Let x(v) = 2*v**2 + 14*v - 9. Let r(c) = -2*c**2 - 14*c + 9. Let j(l) = 2*r(l) + 3*x(l). What is the remainder when j(-11) is divided by 20?
19
Let n = -493 + 496. What is the remainder when 19 is divided by n?
1
Let a be (1 + -1)*-1 + (-39 - 3). Calculate the remainder when a/56 - (-87)/4 is divided by 5.
1
Let l = 920 + -818. What is the remainder when l is divided by 36?
30
Let h(d) = -d**3 + 4*d**2 + 9*d + 7. Let u be h(4). Let j = u - 19. Calculate the remainder when j is divided by 13.
11
Suppose 5*m + 22*u - 471 = 19*u, -3*m - 3*u + 285 = 0. Calculate the remainder when m is divided by 24.
21
Let t(g) = -10 - 67*g**2 + 3 + 6 + 178*g**2. What is the remainder when t(1) is divided by 37?
36
Suppose -5*a + 18 = a. Suppose -11 = -k + a. Suppose 30 + k = 2*h. Calculate the remainder when h is divided by 12.
10
Suppose -7*j = -8*j + 3. Let s be -3*j/(-9)*4. Suppose -120 = s*k - 12*k. What is the remainder when k is divided by 8?
7
Suppose -21*u = -1738 - 698. Calculate the remainder when u is divided by 41.
34
Let h(i) = i**3 + 2*i**2 - 2*i. Let q = -26 + 23. Let n be h(q). Calculate the remainder when 32 is divided by 10 + (9/n - -4).
10
Let g(z) = 31*z - 526. Calculate the remainder when 57 is divided by g(18).
25
Suppose -9*l + 581 - 41 = 0. What is the remainder when l is divided by 13?
8
Let f = -20 + 32. Suppose 0 = -8*s + 57 + 407. What is the remainder when s is divided by f?
10
Let g(x) = -x**3 - 12*x**2 - 5*x - 7. Calculate the remainder when g(-12) is divided by 42.
11
Let t(x) = 20*x - 49. Let g(j) = 7*j - 16. Let d(b) = 17*g(b) - 6*t(b). What is the remainder when d(-16) is divided by 10?
8
Let s(g) = g**3 + 8*g**2 - 19*g - 10. Calculate the remainder when s(-7) is divided by 15.
7
Suppose 5*p - 37 = -52. What is the remainder when 42 is divided by -16*(-2 + p)/5?
10
Suppose d + 52 = -42. Let s(k) = k - 57. Let l be s(18). Let r = l - d. What is the remainder when r is divided by 14?
13
Let h be ((-24)/(-20))/((-2)/(-10)). Let l(b) = -94*b**2 - 7*b + 15. Let k be l(h). What is the remainder when k/(-36) - 1/(-4) is divided by 24?
23
What is the remainder when 7290/48 + (-1)/(-8) is divided by 17?
16
Let p = -37 + 23. Let m = -22 - p. Let k(s) = -4*s - 12. Calculate the remainder when k(m) is divided by 7.
6
Let h = -6 - -9. Suppose -h*q + 21 = -0*q. Suppose p + q - 11 = 0. What is the remainder when 13 is divided by p?
1
Let j(y) = -y**3 + 20*y**2 - 19*y + 44. Let i be (-4)/5*(-50)/2 - 1. What is the remainder when j(i) is divided by 23?
21
What is the remainder when 65 is divided by (-1)/(-4) - (-670)/40?
14
Let b = -132 - -188. Suppose -b + 9 = -2*o + 3*s, 0 = o + 2*s - 27. Calculate the remainder when o is divided by 16.
9
Let i(q) = -q**2 + 6*q - 4. Let m be i(4). Let o be ((-43)/4 - -4)*m. Let x = o + 29. Calculate the remainder when 7 is divided by x.
1
What is the remainder when 97 is divided by (1 - 1) + 62/((-14)/(-7))?
4
Let f be 1/((4/8)/1). Calculate the remainder when 160 is divided by 0/f + 23/1.
22
Suppose 0 = w + 2*h - 18, 8*h = 3*h + 5. Suppose -36*b = -34*b - c - 115, 3*c - 119 = -2*b. What is the remainder when b is divided by w?
10
What is the remainder when (-9)/((-324)/(-6417))*-4 is divided by 102?
101
Let f be (5/10)/(126/(-64) + 2). Let c = 77 - f. What is the remainder when c is divided by 31?
30
Let z = 964 - 516. What is the remainder when z is divided by 30?
28
Let u(k) = -k**3 + 4*k**2 - k + 9. Let h(p) = -p - 1. Let x be h(-6). Let j be u(x). Let t = -7 - j. What is the remainder when 39 is divided by t?
11
Let u = 13 - 8. Suppose -6*x + x = u*w, 5*w = -x - 20. Calculate the remainder when 24 is divided by x.
4
Let w = 166 - -265. Calculate the remainder when w is divided by 63.
53
What is the remainder when -5 + (374 - (4 + -4)) - 7 is divided by 73?
70
Let u = 715 + -704. What is the remainder when 11 is divided by u?
0
Let d(m) = 118*m**2 - 63*m**2 - 54*m**2 + 80 + 18*m. Suppose 0 = -4*n + f + 223, n = -n - 2*f + 104. Calculate the remainder when n is divided by d(-5).
10
Suppose -2*p = -3*m - m + 24, -4*m + p + 22 = 0. Suppose 0 = -2*w + m + 23. Let o(i) = -i**2 + 5. Calculate the remainder when w is divided by o(0).
4
Suppose -2*a - 8573 = -3*u, 2*a - 2*u + 8434 = -142. Calculate the remainder when (-4)/(-30) - a/105 is divided by (-2)/(-5) + 106/10.
8
Let c be (-4 - 0)/1*-50. Suppose -3*l + c = l. Calculate the remainder when l is divided by 1/(396/(-204) + 2).
16
Let h(f) = -31*f - 299. Calculate the remainder when 19 is divided by h(-10).
8
Let m be 2 - (-129)/(-27) - (-22)/(-99). What is the remainder when 103 is divided by 1/((-8)/(-26))*(1 - m)?
12
Let v = -5 + 24. Let r(w) = -3*w - 5. What is the remainder when v is divided by r(-6)?
6
Suppose 13*r = 4*r. What is the remainder when 45 is divided by 6 - (r + (-4 - 0))?
5
What is the remainder when ((-352)/(-40))/((-32)/(-240)) is divided by 20?
6
Suppose -g + 6 = -10. Let j be 294/(-35) - 3/5. What is the remainder when (-88)/(-3) + 3/j is divided by g?
13
Let c = 37 + 6. Let l = 821 + -806. Calculate the remainder when c is divided by l.
13
Suppose -q - 23 = -d - 2*q, -43 = -2*d - q. What is the remainder when d is divided by 9/6*(-3 - -5)?
2
Suppose 1154*u - 1161*u + 1848 = 0. What is the remainder when u is divided by 86?
6
Suppose -46*k + 150 = -40*k. Calculate the remainder when 83 is divided by k.
8
Let i = 41 - 36. Suppose 2*g + 15 = i*g. What is the remainder when (2/(-3))/((-2)/42) is divided by g?
4
Let m = -368 - -78. Let j = -33 + 17. What is the remainder when m/(-8) + 4/j is divided by 13?
10
Suppose 4*h - 7*h = -183. What is the remainder when 117 is divided by h?
56
Let j = -533 - -771. Suppose -159 = -3*l + 3*s, 2*l - 4*s = 7*l - j. Calculate the remainder when l is divided by -13*(-2)/(4 - 2).
11
Let a = 536 + -345. Calculate the remainder when a is divided by 16.
15
Let s = -1 - -5. Let h = -21 + 17. Let r = 13 + h. Calculate the remainder when r is divided by s.
1
Suppose 4*j + 2*j = 60. Suppose 0 = -0*h - 4*h + 16. Suppose -5*q - h*f + 88 = 0, -q + f + 3 = -11. Calculate the remainder when q is divided by j.
6
Let s(d) be the second derivative of 7*d**3/6 - 5*d**2/2 - 16*d. What is the remainder when 30 is divided by s(3)?
14
Suppose -3*l + 77*s - 73*s + 454 = 0, 484 = 3*l + 2*s. Calculate the remainder when l is divided by 6.
2
Let q(b) = b - 6. Let l be q(5). Suppose 110*n + 115*n - 108 = 221*n. What is the remainder when n is divided by (-32)/2*l - 0?
11
Let c = 288 - 207. What is the remainder when c is divided by 28?
25
Let f(p) = -2*p**3 + 59*p**2 - 23*p + 63. What is the remainder when f(29) is divided by 40?
37
Let w be 20/70 - 66/(-14). Suppose w*g - 4*j + 15 = 0, 0 = -3*g + j + 2 - 4. What is the remainder when 3 is divided by g?
0
Suppose 3*j + 3*m = 72, -2*j - 5*m = -6*m - 42. Suppose 0 = 3*h + 5*y - 16, 4*y - 20 = 2*h - 5*h. What is the remainder when j is divided by h?
10
Let y(a) = -2*a**2 + 22*a - 31. What is the remainder when 203 is divided by y(8)?
16
Suppose 5*b - 1995 = -2*w, -w = 4*b - 3*w - 1578. What is the remainder when b is divided by 21?
19
Let v = -2217 - -4283. Calculate the remainder when v is divided by 47.
45
Let n(x) = -4*x**3 + 5*x**2 - x + 9. Let y be n(-3). Suppose -3*f + 114 = -y. Calculate the remainder when f is divided by 19.
17
Let i(s) = -2077*s + 83