remainder when (y/20)/(p/(-15)) is divided by 12?
10
Suppose 34*s = -36*s + s + 1242. Let v = -3 + -2. Let p(i) = -6*i + 3. What is the remainder when p(v) is divided by s?
15
Suppose -6*s + 4*s + 16 = 0. Suppose -s*x - 112 = -12*x. Calculate the remainder when x is divided by 15.
13
Suppose -663*f - 1344 = -665*f. What is the remainder when f is divided by 45?
42
Let n(a) = 2*a + 46. Let c be n(-21). Suppose 4*t - 5*u = 265, c*u - 82 = -0*t - t. What is the remainder when t is divided by 24?
22
Suppose -52*n = -7*n - 4320. Calculate the remainder when n is divided by 17.
11
Let x(a) = a. Let z be x(2). Suppose t - 2*r = -r + 9, 5*t - z*r - 51 = 0. Let d = 6 - 3. Calculate the remainder when t is divided by d.
2
Suppose 2*z - 20 = -2*z. Suppose -6*o + 13 = -z. What is the remainder when o is divided by 3?
0
Let v = -276 + 287. What is the remainder when v is divided by 8?
3
Suppose -2*f + 36 = 2*f. Suppose 2*d - 5*j - 70 = 0, 2*d + 3*j + 8 = 46. What is the remainder when d is divided by f?
7
Let g(h) = h**2 + 16*h - 23. Let l be g(-19). Let n = l - -7. Let s = -3 - -17. Calculate the remainder when n is divided by s.
13
Suppose -14*l - 64 = -18*l. What is the remainder when l is divided by 6?
4
Let y = 29 + -10. What is the remainder when (-2)/5 + 1468/20 is divided by y?
16
Let f(t) = t**3 - 24*t**2 + 5*t - 3. Calculate the remainder when f(24) is divided by 2/(-10) + 968/40.
21
Let d = 1607 + -1466. Calculate the remainder when d is divided by 64.
13
Suppose 3415 = 16*y - 3369. What is the remainder when y is divided by 86?
80
Let a = 191 + -132. Calculate the remainder when a is divided by 5.
4
Let l = 112 + -56. What is the remainder when l is divided by 19?
18
Let j(p) = -186*p - 198. What is the remainder when j(-3) is divided by 42?
24
Suppose -28*p + 225 = -83. What is the remainder when 76 is divided by p?
10
Let q(g) = -g - 6. Let t be q(-8). Suppose w + t*w + 24 = 5*m, -4*m + 30 = 3*w. Let n = 718 - 697. Calculate the remainder when n is divided by m.
3
Let j(o) = o + 13. Let c be j(-10). Suppose 107 = 5*q - 2*p, 2*q - 3*p = 31 + c. Calculate the remainder when 66 is divided by q.
20
Suppose -x + 42 = -0*x. What is the remainder when x is divided by (1 - 8/2)/((-48)/176)?
9
Let z(n) = 2*n + 12. Let v be z(0). Suppose -7*m + 89 - v = 0. Let j(i) = -5*i - 4. What is the remainder when j(-5) is divided by m?
10
Let y(l) = -12*l + 30. Calculate the remainder when y(-3) is divided by 17.
15
Let t(y) = -4*y**2 - 6*y - 2. Let o(n) = -3*n**2 - 7*n - 1. Let i(a) = 3*o(a) - 2*t(a). Suppose p = 3*p - 24. What is the remainder when i(-4) is divided by p?
9
Suppose 125 = t - g, -5*g + 10 = -10. What is the remainder when t + 2/(-3)*-3 is divided by 33?
32
Suppose -78*y + 93*y = 10980. What is the remainder when y is divided by 15?
12
Suppose -11*m + 633 = -49. What is the remainder when m is divided by 17?
11
Suppose -2*q - 1 = -y + 4*y, 5*y = 2*q - 23. Suppose -q*j - j = 70. What is the remainder when (-1446)/(-42) - (-6)/j is divided by 9?
7
Let v = 164 - 141. What is the remainder when 73 is divided by v?
4
Let v(o) be the second derivative of o**4/12 + 3*o**3/2 + 3*o**2/2 - 7*o. Let t be v(-9). Calculate the remainder when t - (3 + 3) - -36 is divided by 7.
5
Let g be 5 + -1 + -3 + 7. Suppose 0 = g*i - 3*i - 35. Suppose -i*z + 336 = -0*z. Calculate the remainder when z is divided by 10.
8
Suppose -2 = -3*p + 2*p. Suppose s = -p*s + 69. What is the remainder when s is divided by 52/4 + -3 - (2 - 0)?
7
Let a = 872 - 859. Calculate the remainder when 526 is divided by a.
6
What is the remainder when (-36)/(-1)*(-10 + 605/44) is divided by 78?
57
Let s(w) = -15*w - 31. Let c be s(-7). Let r = c - 48. What is the remainder when r is divided by 6?
2
Let g(u) = -u**3 - 6*u**2 + 6*u + 4. Let d(n) = n**2 - 16*n + 19. Let i = -14 + 29. What is the remainder when g(-7) is divided by d(i)?
3
Suppose -19*z = -371 - 47. Calculate the remainder when 122 is divided by z.
12
Suppose 5*g = 4*u - 9*u + 260, -3*u + 4*g + 163 = 0. Let n = 11367 - 11337. Calculate the remainder when u is divided by n.
23
Calculate the remainder when (-94)/3*3/(-1) is divided by ((-70)/21)/(-10)*72.
22
Let d = -52 + 57. What is the remainder when 28 is divided by d?
3
Suppose 12*h = 432 + 60. Suppose -16 = -2*t + 14. Calculate the remainder when h is divided by t.
11
Suppose 0*d - 2*d + 5*u + 3 = 0, 2*u + 3 = -d. Let p be d + -1 + 4 + 57. Let r = p - 38. What is the remainder when r is divided by 12?
9
Let k = -33 + 65. What is the remainder when k is divided by (-220)/15*(-27)/36?
10
Let k be 4/(((-9)/(-3))/3). Suppose c - 4*c = -k*t - 117, -2*c + 3*t = -79. Calculate the remainder when c is divided by (((-1)/1)/1)/((-21)/189).
8
Let g = -152 - -154. Calculate the remainder when 1/1 + (4 - -2) is divided by g.
1
Let b = -34 + 39. Suppose 36 = b*t - h - 33, -5 = -5*h. Calculate the remainder when t is divided by 5.
4
Suppose -l - 73 - 31 = 0. Let b = l + 111. What is the remainder when 19 is divided by b?
5
Suppose y + 3*d + 2 = 28, 2*y = 3*d + 34. Suppose 4*w - 36 = 280. What is the remainder when w is divided by y?
19
Suppose -3*t + 1 - 7 = 0, -3*u = 2*t - 920. Calculate the remainder when u is divided by 67.
40
Suppose -10*x = -13*x - 2*c + 849, 3*c = 2*x - 579. Calculate the remainder when x is divided by 18.
15
Let h(q) = 5*q - 6. Calculate the remainder when 36/(-36) + (68 - -1) is divided by h(6).
20
Calculate the remainder when 78 is divided by (-28 - -22)/((-6)/20).
18
Calculate the remainder when 2/5 + (-819)/(-15) is divided by 11 + (3 - -1) + -3 + 2.
13
Let y(n) = 130*n**2 - 14*n - 9. Calculate the remainder when y(-2) is divided by 13.
6
Let f = -1249 + 1377. Calculate the remainder when f is divided by 69.
59
Suppose 0 = 6*j - 503 + 431. What is the remainder when 105 is divided by j?
9
Let a(o) = -o + 19. Let m be a(13). Suppose -m = 4*u - 38. Suppose -3*s + 11 - u = 0. Calculate the remainder when 3 is divided by s.
0
Suppose 9*m - 10*m - h + 98 = 0, 4*h = 4*m - 368. Calculate the remainder when m is divided by 11.
7
Calculate the remainder when 2/(-3) - (4 - (-2560)/(-15)) is divided by 58.
50
Let s(q) = 27*q**2 + 25*q - 22. What is the remainder when s(-4) is divided by 91?
37
Calculate the remainder when 287 is divided by 164/16 + 0 - 27/(-36).
1
Let t = -153 - -235. Let q = -15 + 32. Calculate the remainder when t is divided by q.
14
Let i = 719 - 638. Calculate the remainder when 154 is divided by i.
73
Suppose 0 = -2*r - 18*i + 22*i + 354, -2*r + 3*i = -352. Calculate the remainder when r is divided by 7.
5
Suppose 30*u = 1694 - 104. What is the remainder when 317 is divided by u?
52
Suppose -3*c + 8 + 78 = 2*i, 4*c - 123 = -i. Suppose 4*w + 5*j - 386 = 0, -4*j + 86 + 16 = w. What is the remainder when w is divided by c?
30
Suppose -21 = -2*q + 3*i, 2*i = q + 6*i - 27. Calculate the remainder when -4 - -1 - (-2 + -60) is divided by q.
14
Suppose 36 - 1085 = -3*b - 5*j, 3*b - 2*j - 1042 = 0. What is the remainder when b is divided by 25?
23
Let c(m) = -m**3 + 42*m**2 - 79*m + 21. What is the remainder when c(40) is divided by 14?
5
Let t = -1485 - -1596. What is the remainder when 320 is divided by t?
98
Suppose 25*r - 794 = 6. Calculate the remainder when r is divided by 24.
8
Suppose 0 = 4*i + 81 - 361. Let g be (-150)/(-45)*324/(-10). What is the remainder when i is divided by (1/(-2))/(3/g)?
16
Suppose -p - 11 = 2*v, -p = -3*p - 10. Let o be 2/2 - (-27 + v). Suppose -5*g + o = -14. Calculate the remainder when 33 is divided by g.
6
Suppose 0 = -7*s - 92 + 141. Calculate the remainder when s is divided by 4.
3
Let s = 1177 - 1122. Calculate the remainder when 209 is divided by s.
44
Suppose 5*b - 2*g - 622 - 2906 = 0, 4*g - 3504 = -5*b. What is the remainder when b is divided by 59?
55
Let g = 189 - 151. Calculate the remainder when g is divided by 13.
12
Suppose 3*d - p - 82 = 0, 24*p - 19*p = -5*d + 150. Let k = -101 + 212. What is the remainder when k is divided by d?
27
Let b be (-1)/(2*(-2)/8). Let r(y) = y + y - y**b + 2 + 13. Calculate the remainder when r(0) is divided by 8.
7
Suppose 10*x + 2315 = 15*x. What is the remainder when x is divided by 8?
7
Let v = 271 + -265. Let n(m) = -2*m + 1. Calculate the remainder when v is divided by n(-1).
