the remainder when m is divided by 12/8 + 17/2?
8
Suppose r - f + 136 = 5*r, 4*r - 116 = 4*f. What is the remainder when r is divided by 8/(-6)*18/(-4)?
3
Let j(y) = -2*y**2 - y. Let m be j(-4). Calculate the remainder when (-14 - m)*2*1 is divided by 8.
4
Suppose 5*k - 103 = -3. What is the remainder when 317 is divided by k?
17
Let t(w) = -8*w + 9. Let h be 44/(-16) - (-1)/(-4). What is the remainder when t(h) is divided by 9?
6
Suppose 0 = 18*h - 13*h, 5*m = -h + 55. What is the remainder when 272 is divided by m?
8
What is the remainder when 5 + (-5735)/(-10) + 4/(-8) is divided by 82?
4
Suppose 0 = -2*c + 2*d + 506, 2*c = -0*c + 5*d + 512. Calculate the remainder when c is divided by 32.
27
Suppose 2*o + 5*t - 6*t = 6, o - 5*t = 12. Suppose -5*b = -o*h - 35, 6 = -2*h - 4. What is the remainder when 11 is divided by b?
1
Suppose -10*a + 157 = -73. What is the remainder when 113 is divided by a?
21
Suppose 1682 = 10*b + 19*b. Calculate the remainder when b is divided by 9.
4
Let y = 186 + -155. What is the remainder when y is divided by 9?
4
Let o be (0 + -1 - -3)*1. Let m = -214 - -216. Suppose 5*v - z = 17, o*v - z = 7 - m. Calculate the remainder when 5 is divided by v.
1
Let f(r) = 111*r**2 + 13*r + 52. What is the remainder when f(-4) is divided by 14?
12
Let h = -3 - -23. Let n = -6 + 9. Suppose w + 2*w - 4*a - 49 = 0, 4*w + n*a = 32. Calculate the remainder when h is divided by w.
9
Suppose -p + 0*p + 269 = 0. What is the remainder when p is divided by 45?
44
Let m(x) = 55*x - 13. Let f be m(6). Suppose -95 = 6*r - f. What is the remainder when 110 is divided by r?
36
Let d(s) = -s**2 + 19*s - 15. Suppose -o + 96 = 3*o. Calculate the remainder when d(15) is divided by o.
21
Suppose 0 = -3*t + m + 410, 3*t + 0*t - 4*m - 407 = 0. What is the remainder when t is divided by 43?
8
Suppose 16 = h + 13. Suppose 8*j = h*j + 5, 130 = 5*g - 5*j. Calculate the remainder when g is divided by 14.
13
Suppose 0*c + 15*c = 120. Calculate the remainder when 100 is divided by c.
4
Let q(g) = 9*g + 11. Let v(d) = 9*d + 10. Let x(w) = 4*q(w) - 5*v(w). Let u be ((-2)/1)/((-2)/(-8)). What is the remainder when x(u) is divided by 17?
15
Let u(a) = -36*a - 234. What is the remainder when 85 is divided by u(-7)?
13
Let k(p) = 2 - 7*p**2 + 8*p**2 - 6*p + p**2. Let t = 33 - 23. What is the remainder when k(6) is divided by t?
8
Let q = -75 + 65. Let r(i) = -2*i + 29. Calculate the remainder when 96 is divided by r(q).
47
Suppose 2*n = 5*c + 61, -n - 7*c + 17 = -5*c. What is the remainder when n is divided by 5?
3
Let l be 0/(-3)*(-2)/(-2). Suppose 5*p - 2*y - 6 - 9 = l, 0 = -2*y. Suppose a = -u - p*u + 20, -a = -3*u - 6. Calculate the remainder when a is divided by 7.
5
Calculate the remainder when 71 is divided by (2 - (-2 + 7))*-23.
2
Let q = 147 + -73. Suppose -c - 144 = -5*l - 55, 4*l = -2*c + q. Suppose 4*g - 179 = -5*w, 4*g = 2*g - 2*w + 92. Calculate the remainder when g is divided by l.
15
Suppose -2*y + f - 2*f + 3 = 0, -3 = -3*y - 2*f. Suppose -4*s - 3*a + 10 = 0, -a + 18 = 5*s - 0*a. What is the remainder when 5/(4/(36/y)) is divided by s?
3
Let k(p) = -17*p - 206. What is the remainder when 153 is divided by k(-14)?
25
Suppose -3*r + 309 = -2*n, -102 = -5*r + 2*n + 413. Calculate the remainder when r is divided by (2 - 3) + 54/2.
25
Suppose -m - 3 = 2, -4*w - 2*m - 30 = 0. Calculate the remainder when 153 is divided by 65/w*-1*2.
23
Suppose 2*s = 13 + 17. Suppose 2*c + 4*r - 18 = 0, -39*c = -38*c - 4*r - 39. Calculate the remainder when c is divided by s.
4
Let o = 53 + -37. Let a be (-6 + 1 + 4 - -6)*5. Let p = a - o. Calculate the remainder when 15 is divided by p.
6
Calculate the remainder when ((-6)/(-16) - 48/128) + 103 is divided by 27.
22
Let j be ((-8)/20)/(4/(-300)). Let g = j + -24. Suppose 0 = g*w - 7*w + 16. Calculate the remainder when w is divided by 5.
1
What is the remainder when ((-30)/(-60))/(2/432) is divided by 22?
20
Let x be 0 - (-5)/2*30. Suppose -5*m = -0 - x. Suppose 4*r - 3*j - 126 = -5*j, 5*j = m. Calculate the remainder when 88 is divided by r.
28
Suppose z + 15 = 6*z. Suppose f + 31 - z = 0. Calculate the remainder when (f/(-5))/((-16)/(-120)) is divided by 22.
20
Let x = 198 - 81. What is the remainder when x is divided by 20?
17
Let k(p) = p**3 + 1. Let n(z) = 5*z**3 + 10*z**2 - 17*z + 4. Let j(h) = -4*k(h) + n(h). What is the remainder when j(-11) is divided by 23?
20
Let b(j) = -j**2 + 13*j - 9. Let o = 267 + -253. Calculate the remainder when o is divided by b(12).
2
Suppose 2*z - 2*y = -7*y - 21, -2*y = 3*z + 4. Suppose -124 = -5*g - 0*m - z*m, 0 = 4*g + m - 101. Calculate the remainder when 128 is divided by g.
24
Let r be (1/1)/(8/16). Suppose l + 10 = y - r*y, -4*y + 3*l - 12 = 0. What is the remainder when 29 is divided by 18 + -3*y/(-9)?
13
Calculate the remainder when 1/(-2*(-3)/258) is divided by 19.
5
Let m = -133 + 274. Calculate the remainder when m is divided by 40.
21
Let d = -47 + 52. Suppose -d*x - 4*k + 80 = -10, -3*k - 15 = 0. What is the remainder when 108 - -1 - (-1 + 3) is divided by x?
19
Let m be ((-196)/8 - -1)*8. Let n = -87 - m. Calculate the remainder when n is divided by 17.
16
Suppose 0 = 2*h + 3*h - 65. Suppose 0 = -18*q + h*q + 230. Let g = q + -31. Calculate the remainder when g is divided by 8.
7
Let c = 4 - 8. Let t be ((-2)/c)/((-4)/(-40)). Suppose 4*j + 4*d - d = 94, t*d - 54 = -2*j. What is the remainder when j is divided by 8?
6
Let s be (-2)/(-5)*25*-1. Let g(w) = -w**3 - 9*w**2 + 6*w - 3. Calculate the remainder when g(s) is divided by (26/(-6))/(2/(-6)).
11
Let y = -328 - -456. Calculate the remainder when y is divided by 26.
24
Suppose 23*o - 363 - 51 = 0. What is the remainder when 69 is divided by o?
15
Let c be -5*(-5)/((-100)/16). Let g(h) = 12*h. What is the remainder when g(2) is divided by 41/3 - c/(-6)?
11
Suppose 0 = -0*k - 2*k + 4. Let i(y) = -y**3 - 2*y**2 - 77*y - 316. Calculate the remainder when i(-4) is divided by k.
0
Suppose 3*w + 5*d - 18 = w, 4*w + d - 18 = 0. Let t(v) = v**3 + 3*v**2 + 2*v + 19. What is the remainder when t(-3) is divided by w?
1
Let f(n) = 5*n**2 - 2*n + 3. Calculate the remainder when f(-3) is divided by 28.
26
Let l = 116 + -79. Let q(s) be the first derivative of s**4/4 + 7*s**3/3 + 5*s**2/2 - 6*s + 2. Calculate the remainder when l is divided by q(-5).
18
Let a(h) = h + 8. Let k be a(-8). Suppose k = -4*d + 64 + 8. Suppose -3*l + d = -l. Calculate the remainder when 15 is divided by l.
6
Let x = 49 - 44. Let r(w) = w + 7. Let l(f) = f**3 + 8*f**2 + 7*f + 4. What is the remainder when l(-6) is divided by r(x)?
10
Calculate the remainder when 669 is divided by (-1)/((-1)/(-11) - (-88)/(-484)).
9
Let a = -76 + 76. Suppose -5*j + 35 = 2*i - 17, -4*i + 3*j + 130 = a. Calculate the remainder when 61 is divided by i.
30
Let c(d) = -13*d + 81. What is the remainder when 79 is divided by c(3)?
37
Let r(n) = -2*n**3 + 13*n + 13. Calculate the remainder when r(-3) is divided by 3.
1
Suppose -k + 80 = 4*k. Suppose -4*p + 528 = -p + 9*p. What is the remainder when p is divided by k?
12
Suppose 45*t + 212 = 47*t - 2*v, v + 326 = 3*t. Calculate the remainder when 120 is divided by t.
10
Suppose -2*k + 92 = 2*l - 40, 0 = l - 5*k - 42. Calculate the remainder when l is divided by 46.
16
Let x = 48 + 22. Let q(k) be the third derivative of -17*k**6/120 - k**4/12 - k**3/6 - 18*k**2. What is the remainder when x is divided by q(-1)?
16
Calculate the remainder when 2053 is divided by 11 - (-5)/(15/6).
12
Suppose 51 = 5*n + 21. Let i = -2 - -12. Suppose i + 38 = 3*q. What is the remainder when q is divided by n?
4
Suppose 2*q + 4 = 4*q. Suppose q - 14 = -3*d. Suppose 0 = -3*k + 43 - d. What is the remainder when k is divided by 6?
1
Let a(k) = -28*k - 60. What is the remainder when 99 is divided by a(-4)?
47
Suppose 621 = 61*k - 233. Calculate the remainder when 236 is divided by k.
12
Let i = 145 - 129. Let q = i + 18. What is the remainder when q is divided by 12?
10
Let y be ((-20)/8)/5*0. Suppose y = -3*s + 12, -5*s + 2*s - 28 = -4*d. Let r = d + -1. Calculate the remainder when 34 is divided by r.
7
Suppose 5*b - 17 = 68. Let k = b + -3. What is the remainder when k is divided by 4?
2
Suppose 2*x - 4 = 6*x. Calculate the remainder when -1 + (15 