ainder when p(65) is divided by 7.
4
Suppose 0 = -26*z + 96656 - 17980. What is the remainder when z is divided by 138?
128
Let l = 981 - 959. Suppose -6*i + 255 = -3*i. What is the remainder when i is divided by l?
19
Let t(n) = -n**2 + 8*n - 6. Suppose 82*c + 467 = 83*c. Let w = c - 418. What is the remainder when w is divided by t(4)?
9
Suppose -4*p + 277 = -s, s = 3*p - 108 - 101. Suppose -11 + p = 3*l. Let w = -8 + l. What is the remainder when w is divided by 6?
5
Suppose -7*m - 1 = -1. Suppose d - 24 + 20 = m. Suppose -k - 4*z + 108 = -5*z, -3*k - d*z + 331 = 0. What is the remainder when k is divided by 14?
11
Let z(m) = m**3 + 10*m**2 + 14*m + 22. Let y be z(-9). Let p(b) = 4*b + 102. Calculate the remainder when (-2 + 38)*1*1 is divided by p(y).
6
Let a = 39 - 37. Suppose a*h = 5*h + 15. Calculate the remainder when (-8)/(-4) + h + 31 is divided by 10.
8
Let m = -6924 + 12074. What is the remainder when m is divided by 46?
44
Suppose 3*t = -3*i - 8 + 113, 0 = 4*i + t - 149. Suppose -37738*p = -37750*p + 1356. What is the remainder when p is divided by i?
37
Suppose -2*j + 99 = -4*s + 1, 118 = 2*j + s. Calculate the remainder when 2904 is divided by j.
54
Let w(r) = 1227*r**2 + 8*r - 8. Let x be w(1). Suppose -654 = -9*m + x. Calculate the remainder when m is divided by 15.
14
Suppose -5*t = 5*h - 65 + 15, 3*t = -5*h + 62. Suppose -8*i = -337 - 1303. Calculate the remainder when i is divided by h.
13
Let g be (10 + 34)*(-2)/(-8). Let f(r) = r**2 - 8*r - 23. What is the remainder when 47 is divided by f(g)?
7
Calculate the remainder when -3 + (-18)/(-4) + 1146/4 is divided by 97.
94
Suppose -5*a + 7*a + 38324 = 28*a. Calculate the remainder when a is divided by 17.
12
Suppose 0 = 26*d - 4*d - 8*d - 112. Suppose -c - 34 - 1 = -o, -5*o = 3*c - 207. Calculate the remainder when o is divided by d.
7
Calculate the remainder when 493 is divided by 54 + 0*((-20)/8 - 24/(-8)).
7
Let t be -4 + ((-16)/(-12))/((-2)/(-3)). Let u be t/8 - 27/(-12). Suppose -7*k + 170 = -u*k. What is the remainder when k is divided by 9?
7
Let f = -3019 - -3036. What is the remainder when 286 is divided by f?
14
Suppose -3*l = 3*z - 228, -3*l - 698 = -5*z - 318. Calculate the remainder when 5393 is divided by z.
73
Let v(m) = m**2 + 22*m + 56. Let r = -72 + 49. Let a(l) = 4*l**2 + l + 2. What is the remainder when v(r) is divided by a(2)?
19
Suppose 41*p + 7288 = -7800. Let r = p + 401. Let w(m) = -4*m - 4. Calculate the remainder when r is divided by w(-4).
9
Let k = -76 - -255. Calculate the remainder when k is divided by (-38208)/(-960) - (-12)/(-15).
23
Let w(v) = 2*v + 52. Suppose -35 = 4*g - 2*q + 3, 2*q = -3*g - 11. Let c(k) = -k + 3. Calculate the remainder when w(g) is divided by c(-3).
2
Suppose -634*i + 639*i - 10705 = 0. Calculate the remainder when i is divided by 113.
107
Let h = 0 + 0. Suppose -f - 10*p + 4 = -8*p, -p - 3 = -2*f. Suppose f*b - 7*b + 85 = h. What is the remainder when 82 is divided by b?
14
Suppose 242 = 3*m + 4*f, 57 = m - f - 33. What is the remainder when 432 is divided by m?
2
Suppose 6*w - 2 = 16. Let a be -3*12 + w*(-1)/(-3). Let n = a + 42. Calculate the remainder when n is divided by 4.
3
Let m(r) = r**3 - 5*r**2 - 11. Let h be m(6). Suppose h*n - 24*n = 11. What is the remainder when 65 is divided by n?
10
Let y = -69 + 72. Suppose -152 = -3*m - 4*x - 17, y*x = 0. What is the remainder when m is divided by 15?
0
Let i(g) = -9*g - 84. Calculate the remainder when i(-22) is divided by ((-18)/(-27))/((-2)/(-144)*3).
2
What is the remainder when 440 is divided by (-7)/(420/312)*15/(-3)?
24
Let k(j) = j**2 + 11*j - 10. Let c be k(-12). Suppose d = c + 55. Let i = -51 + 82. What is the remainder when d is divided by i?
26
Suppose 7*r - 3*y = 2*r + 25, 5*y + 35 = 5*r. Let o(u) = -68*u + 0 + r + 70*u + 15*u**2. What is the remainder when 26 is divided by o(-1)?
11
Calculate the remainder when 782 is divided by 12 + (-624)/(-80)*5.
17
Let r(c) = -c**3 + 21*c**2 - c + 13. Let u be r(20). Let o = u - 385. Calculate the remainder when 15 is divided by o.
7
Suppose -3*u + w = -16370, -5301 = 2*u + 5*w - 16203. What is the remainder when u is divided by 53?
50
Let r = 10667 - 10659. What is the remainder when 934 is divided by r?
6
Let q = 825 - 682. Calculate the remainder when 2285 is divided by q.
140
Suppose 4*b + 0*q + 1700 = -q, 3*q = 0. Let p = b + 543. Calculate the remainder when p is divided by 25.
18
Let q be 1 - (-10)/(-8) - (-39)/12. Suppose f + n = 315, -6*n = -q*f - n + 945. Suppose -f = -6*i - i. What is the remainder when 88 is divided by i?
43
What is the remainder when (13 - (18 - 2)) + (1 - -278 - 2) is divided by 54?
4
Let m be 1195/45 - (-44)/99. Suppose -m*p = -4*p - 575. Calculate the remainder when p is divided by 17.
8
Suppose 0 = 2*n + 1 + 1. Let y(w) be the third derivative of -5*w**6/12 + w**4/24 + w**3/3 + 6*w**2 - 4. Calculate the remainder when y(n) is divided by 14.
9
Let z(r) = -r + 32. Let l be z(6). Suppose 0 = -6*i - l + 44. Suppose 0*y + 4*y = -3*b + 288, -i*b + 294 = 2*y. Calculate the remainder when b is divided by 17.
15
Suppose 97 = -4*l + 23*l - 948. Calculate the remainder when 118 is divided by l.
8
Let q(l) = 29*l**2 + l. Let c be (-726)/(-10) + 8/20. Suppose 70*a = c*a - 60. Calculate the remainder when q(2) is divided by a.
18
Let u = 26 + -15. Suppose -5*m + 48 + u = -2*y, 4*m - 48 = 2*y. Suppose -43*s + 26*s = -34. What is the remainder when m is divided by s?
1
Let o(a) = -a**3 - 37*a**2 - 112*a - 327. Let w = 24 + -16. Let p = 45 - w. What is the remainder when p is divided by o(-34)?
11
Let k(l) = -28*l**3 - l**2 + l + 1. Let i(h) = 4 - 3*h**2 - 23*h - 17*h + 6 - 30*h + 62*h. What is the remainder when k(-1) is divided by i(0)?
7
Calculate the remainder when 59 is divided by (-84 - (-2 + 5))*23/(-69).
1
Let x(p) = -p**3 + p**2. Let a(d) = 7*d**3 + 17*d**2 + 61. Let v(u) = a(u) + 6*x(u). What is the remainder when v(-23) is divided by 16?
13
Let s = 66 + -39. Suppose q = -8*b + 4*b - 47, -4 = -4*q. Let t(d) = d**3 + 14*d**2 + 14*d + 67. What is the remainder when t(b) is divided by s?
25
Let w be (-14)/(3 + -1 + -3). Suppose 34*l = -w*l + 912. What is the remainder when 28 is divided by l?
9
Suppose 3*b + 4*q - 731 = 0, -32*q + 288 = b - 37*q. What is the remainder when b is divided by 247?
6
Suppose -2*x + 25*x - 3749 = 0. Suppose -34 + x = 3*u. Calculate the remainder when u is divided by 30.
13
Calculate the remainder when (-73781)/(-267) - (-12)/(-9) is divided by 13.
2
Suppose -337*k = -341*k + 113 + 435. Calculate the remainder when k is divided by 114.
23
Suppose 5*b + 80 = 2*s, 0 = 4*b - 2*b - 3*s + 43. Calculate the remainder when 903/b*(-8)/6 is divided by (-44)/(-55)*(-45)/(-2).
14
Let g = -157 + 166. Let o be ((-4)/5)/(6/(-45)). What is the remainder when (12/5)/(o/40) is divided by g?
7
What is the remainder when 694 is divided by 9/15 + (-9765)/(-225)?
34
Suppose 5*w + 33 = -l, -8 = 2*w + 2*l + 2. Let k = w + 211. Suppose -k = -2*v - 60. Calculate the remainder when v is divided by 25.
22
Let a = 14 + -12. Suppose -a*h - 4*q = -40, -3*q + 36 = 4*h - 6*q. Calculate the remainder when 250 is divided by h.
10
Suppose -211*f + 212*f - 19 = 4*r, f = 3*r + 19. Suppose 28 = 5*p - 22. Calculate the remainder when f is divided by p.
9
Suppose 52 = 4*y + 4*m, 5*m = 8*m - 3. Calculate the remainder when -2*-1*(1 - 2) + 30 is divided by y.
4
Suppose -2*q = -250 + 62. What is the remainder when q is divided by (52 + (-1 - -1))*6/8?
16
Let w = 242 - 240. What is the remainder when 10 is divided by w?
0
Suppose -4*k + 5*h - 18 = 0, 5*k - 4*h + h + 16 = 0. Calculate the remainder when 108 is divided by k + (-1)/(2/60*-1).
24
Suppose 5*v + 25 = -3*f, 2*f + 5*v - 15 = 3*f. Let t be 2/8*-2 - 125/f. Suppose t*u = 14*u - 28. What is the remainder when 109 is divided by u?
11
Let c(w) = -w**3 - 4*w**2 - w - 2. Let i be c(-4). What is the remainder when 33 is divided by 2/(-4)*(-36)/i - 3?
3
Let q be (-62)/(-4) + 22/(-44). Let i = q + -8. What is the remainder when 104 + (-30)/(-10) - (-12)/(-3) is divided by i?
5
Let d be (-7 + -4)/11*(-1 - -1). Suppose i - 2*k - 282 = d, 4*k = -2*i + 756 - 176. What is the remainder when i is divided by 72?
70
Suppose 3*m + 2 = 14, 77 = -z + 2*m. Calculate t