 when 508 is divided by k.
13
Suppose 534 + 36 = 57*q. Let o(v) = 14*v. What is the remainder when o(2) is divided by q?
8
Suppose 0 = 10*v - 8*v - 16. Let h be -7*(-1 - v/4). Let t = 50 + h. Calculate the remainder when t is divided by 24.
23
Let v(q) = -q**3 - 22*q**2 - 40*q + 55. What is the remainder when 104 is divided by v(-20)?
49
Let j = 569 - 509. Calculate the remainder when j is divided by 16.
12
Let n be -20*(-2)/(8/3). Suppose -7*o = -2*o - n. Suppose 2*v = -o*v + 170. What is the remainder when v is divided by 12?
10
Let g(n) = -3*n**3 - 6*n**2 + 4*n + 12. What is the remainder when g(-4) is divided by 22?
4
Let b = 16 - 9. Suppose -b*w + 29 = -6. Calculate the remainder when 25 is divided by w.
0
Let o be -4 - 6/2 - -4. Calculate the remainder when 38 is divided by (o + 9)*4 - 4.
18
Let f = 15 - 14. Let x = -112 + f. Let v = -68 - x. What is the remainder when v is divided by 11?
10
Let n be (-28)/6*(-11 + 2). Suppose n = 5*w + 12. Let h = w - 2. What is the remainder when 11 is divided by h?
3
What is the remainder when 175 is divided by 0/2 + 139 + -49?
85
Let r(l) = l - 12. Let g be r(12). Calculate the remainder when 69 is divided by 0 + (-3 - g) - -21.
15
Let n(k) = 87*k + 575. Calculate the remainder when n(-4) is divided by 76.
75
Suppose -p - 4*w + 94 + 15 = 0, 0 = 3*w - 12. Suppose 3*r - 3*o - p = 0, 15 = 3*r - 2*r + 3*o. Let i = -21 + r. What is the remainder when 19 is divided by i?
1
Suppose -732 - 140 = -8*w. Suppose -w*h + 107*h + 174 = 0. What is the remainder when h is divided by 30?
27
Let u(z) = z**3 + 12*z**2 + 10*z - 2. Let y be u(-11). Let i = 17 - y. Calculate the remainder when 27 is divided by (-10)/i*(-6 - 2).
7
Let j = 677 - 623. Let v = -55 - -84. What is the remainder when j is divided by v?
25
Let q(j) = -j + 13. Let h be (10/(-4))/((-8)/16). Calculate the remainder when 45 is divided by q(h).
5
Let y = -469 - -761. Calculate the remainder when y is divided by 59.
56
Suppose -2*j + 110 = 9*j. Calculate the remainder when 34 is divided by j.
4
Let y = 1747 - 1683. Suppose 0 = 2*q + 2*q - 88. What is the remainder when y is divided by q?
20
Let u(c) = -c**3 + c**2 + 2*c. Let o be u(0). Calculate the remainder when 67 is divided by (1/2)/(o - (-2)/92).
21
Suppose 4*y = 36 + 76. Suppose 27*x - 2050 = 2*x. Calculate the remainder when x is divided by y.
26
Let i(v) = 14 - 3*v + 9 + 2*v. Calculate the remainder when 10 is divided by i(20).
1
Calculate the remainder when 19 is divided by (-1 - -10 - -7) + -7.
1
Let f(m) = 5*m**3 - m**2 + 1. Let y be f(1). Let d = 70 + -69. Suppose 5*z + 4*a - 140 = 0, z + 0*a = y*a - d. Calculate the remainder when 45 is divided by z.
21
Suppose 0 = -8*f + 703 + 1121. Calculate the remainder when f is divided by 48.
36
Let q(u) = u**2 + 2*u + 2. Let d(f) = -f - 2. Let x be d(5). What is the remainder when 220/7 + 3/x is divided by q(3)?
14
Let j(g) = -9*g - 1. Suppose f - 10 = 3*f. Suppose z + 0*z - 23 = 0. What is the remainder when j(f) is divided by z?
21
Suppose -73*c + 8*c + 164 + 1071 = 0. Let a = 89 - 53. What is the remainder when a is divided by c?
17
Suppose 108 = 4*j + 32. Let w(c) = 28*c + 868. Calculate the remainder when w(-27) is divided by j.
17
Let k = 854 + -585. Calculate the remainder when k is divided by 16.
13
Suppose -13 = -2*t - 5*w, 3*t + w = 6 + 7. Suppose 2*q = -t*h - 162, -6*q + 102 = -3*h - q. Let g = h - -57. What is the remainder when 35 is divided by g?
17
Let d(y) = -y**3 + 9. Let m be 170/((-2)/(-6) - (-15)/9). Suppose 3*f + m + 19 = 4*s, 4*f = 0. What is the remainder when s is divided by d(0)?
8
Suppose 3*k = -39 + 237. Suppose -3*u + 39 = -k. Suppose 3*p - u = 4. What is the remainder when p is divided by 7?
6
Let m(x) = 3*x + 20. Let h be m(-5). Suppose -20 = h*p, -4*n - 2*p - p + 44 = 0. What is the remainder when 37 is divided by n?
9
Let q(i) = -2*i**2 + 26*i + 42. Let t be q(19). Calculate the remainder when 70 is divided by (19/5)/(t/(-30) - 6).
13
Suppose 0 = k - 0*k - 3. Suppose k*y = -3*s - 3, -3*s = -3*y + 24 - 9. Suppose -3*b - 2*b + 10 = 0, 5*n - 8 = b. What is the remainder when n is divided by y?
0
Suppose 38 = -3*w + 62. Let f(z) = 3*z**2 + 0*z**2 - 5*z - 3*z + 4 - z**2. What is the remainder when f(5) is divided by w?
6
Let c = -20 + 36. What is the remainder when c is divided by (-2 + (-4)/(-3))*(-99)/6?
5
Calculate the remainder when 6 is divided by (12/5)/2 + (-56)/(-70).
0
Let k(n) = -n**3 + 13*n**2 - 10*n - 14. Let c be k(12). Suppose -x - 5 = -g, 3*g = x + 3*x + c. Calculate the remainder when 58 is divided by g.
8
Let c be (-14 + 7)*(-12)/(-14). Suppose -4*q + 5*r = -54, 4*r = -2*q + 5*q - 40. Let s = q + c. What is the remainder when 28 is divided by s?
8
Let c = 860 + -756. Calculate the remainder when c is divided by 36.
32
Let n = 17 + -14. What is the remainder when (n - 3 - 3) + 13 is divided by 3?
1
Suppose 6 = 2*t - 5*m, -26 = -3*t + t - 5*m. Let s(u) = 7*u**3 + 2*u**2 - 1. Let c be s(1). Calculate the remainder when t is divided by 42/c + 2/(-8).
3
Let w(u) = -u**2 - 13*u + 2. Let k = -17 - -7. Let t be w(k). Let v = 35 - t. Calculate the remainder when 7 is divided by v.
1
Suppose 0 = 40*u - 43*u - 3. What is the remainder when (-2)/(2*u/4) is divided by 3?
1
Let h = -69 - -86. Suppose -2*g + 3*a = 8*a - 49, 4*a + 44 = g. What is the remainder when g is divided by h?
15
Suppose -4*g + 523 = x, 0 = -5*g - x + 347 + 307. Calculate the remainder when g is divided by 22.
21
Suppose -6*j = -j - 125. Let c = 6772 - 6674. What is the remainder when c is divided by j?
23
What is the remainder when 19 is divided by (-2)/4 + (-738)/(-164)?
3
Let t(w) = -w**3 - 2*w**2 - w - 2. Let s be t(-2). Let l(h) = -h**3 + h**2 + 2*h + 59. Calculate the remainder when l(s) is divided by 15.
14
Suppose 5*r - 3*r - 4 = 0. Calculate the remainder when 31 - 6/(-3)*r is divided by 12.
11
Suppose -3*w + 5*t + 51 = 0, w - 3*t = -0*w + 21. What is the remainder when w is divided by 8?
4
Let y = 550 - 71. Calculate the remainder when y is divided by 8.
7
Let w = -2634 - -2683. Calculate the remainder when w is divided by (1 - 0)*17/1.
15
Suppose 26 = 2*d + 6. Let r(z) = 5*z + 143. Calculate the remainder when r(-21) is divided by d.
8
Suppose -12*k = -14*k - 6. Suppose -3*n = -a + 14, -3*a - 74 = -7*a + 3*n. What is the remainder when 1*(a*2 - k) is divided by 11?
10
Suppose 2*v - 8 = -0*v. Suppose -5*y = -2*a - 253, 0 = -5*y + v*a - 3*a + 249. Calculate the remainder when y is divided by 26.
23
Let a(q) = 19*q**2 - q - 8. What is the remainder when a(4) is divided by 59?
56
Calculate the remainder when ((-10)/(-4))/(910/58968) is divided by 30.
12
Let v = 1585 + -1301. What is the remainder when v is divided by 91?
11
Suppose d = -4*m + 298, -10*m + 9*m = -4*d - 66. Calculate the remainder when 441 is divided by m.
71
Let j be (-3 - -26) + 2 + -3. Let h = 19 - j. Calculate the remainder when -3 + (h - -3) + 40 is divided by 19.
18
What is the remainder when -7 + 8 + (-2 - -79) is divided by 10?
8
Let q = 52 - 42. Let i be 110/3 - (-1)/3. Suppose 2*m - m = i. What is the remainder when m is divided by q?
7
Let h = -47 - -88. Let l = 239 - 225. Calculate the remainder when h is divided by l.
13
Suppose -3 = 3*d - 0. Let u be (0 - d)*(-14)/(-7). Suppose i + 44 = u*i. What is the remainder when i is divided by 15?
14
Let b be (-4)/(-10)*(-475 + 0). Let f = 327 + b. What is the remainder when f is divided by 23?
22
Let a be 0/(3 + -6 - -2). Suppose -m - 131 = -3*m + 5*r, a = -r + 1. Suppose -14 = 22*o - 23*o. Calculate the remainder when m is divided by o.
12
Suppose -22*k + 7480 = -5*k. What is the remainder when k is divided by 9?
8
Let p be 4 - (4 - 9/3). Suppose 124 = 5*b - p*h, -2*b + 103 = 3*b + 4*h. Let k = 33 - b. Calculate the remainder when 58 is divided by k.
8
Suppose -45 = -12*p + 3*p. Suppose -t - 2*t - a = -89, a - p = 0. Calculate the remainder when 139 is divided by t.
27
Let f = -5 + 8. Let v = 16 - -2. Suppose 2*w = f*w - v. What is the remainder when 52 is divided by w?
16
Suppose 2*n + 0 - 4 = 0. Let m(w) = w**3 + 4. Let u(b) = b**3 + 3. Let l(j) = -5*m(j) + 6*u(j). What is the remainder when l(2) is divided by n?
0
Let r(f) = 18*f - 11. Let d be r(7). Suppose 3*j = 4*a - d, -2*j = -1 + 11. What is the remainder wh