mainder when p is divided by 3?
1
Let t(k) = -k**2 - 2*k + 4. Suppose 26 = 5*o - 34. Let g = o - 3. Calculate the remainder when g is divided by t(0).
1
Let c(k) = k**3 - 8*k**2 + 9*k + 14. Let w be c(6). Calculate the remainder when 81 is divided by (28/(-8))/(1/w).
11
Suppose -3*b - 13 = -5*f - 41, -5*f = 2*b + 23. What is the remainder when 71 is divided by b?
0
Suppose -50 = -v + 4*i, i - 2*i = 1. Let z = -26 + v. What is the remainder when z is divided by 3?
2
Let l be 9/(486/6816) + 4/(-18). Suppose -2*x = -4*i - l, 0*x + 4*x - 243 = -i. What is the remainder when x is divided by 33?
28
Let p = 124 + -38. Let w = p - 59. Let r = 37 + -32. What is the remainder when w is divided by r?
2
Let j(h) = 54*h**2 - 4*h + 3. Calculate the remainder when j(1) is divided by 14.
11
Let j(o) = -6*o + 5. Let m be j(-6). Suppose m*d - 45*d = -168. Calculate the remainder when 125 is divided by d.
41
Calculate the remainder when 159 is divided by -5*710/(-150)*3.
17
Let k = 6 - 5. Calculate the remainder when 35 is divided by (k/2 + 1)*12.
17
Calculate the remainder when 78 is divided by (0 - 4)/((-108)/21 + 5).
22
Let n(q) = 2*q**3 + 25*q**2 + 13*q + 29. What is the remainder when 26 is divided by n(-12)?
9
Let w = 452 - 449. Calculate the remainder when 6 is divided by w.
0
Suppose 0 = d - 0*d + 24. Let f = 197 + d. Suppose 3*m = -59 + f. Calculate the remainder when m is divided by 13.
12
Suppose -2 = -v - x + 5, 0 = -v + x + 7. Calculate the remainder when 20 is divided by v.
6
Let l(q) = -q**2 + 5*q + 3. Let p be l(5). Suppose -z - 92 = -p*z. What is the remainder when z is divided by 12?
10
Let f = 5 + 0. Suppose -4*p + 58 + 67 = 5*y, p + 125 = f*y. Let i(m) = -2*m - 7. Calculate the remainder when y is divided by i(-8).
7
Suppose -698 = -6*c + 682. What is the remainder when c is divided by 39?
35
What is the remainder when 989 is divided by 3/(-7) - 2226/(-196)*4?
44
Let f(a) = -a**3 + 24*a**2 - 60*a - 43. What is the remainder when 184 is divided by f(21)?
4
Let f(w) = -w**3 + 7*w**2 + 6*w + 18. Let i be f(8). Suppose 0 = -a - 5, i*a + 38 = 3*p - 35. What is the remainder when p is divided by 12?
9
Let s(m) = -m + 4. Suppose -j = 5*d - 24, -5*j = 3*d - 19 - 13. Suppose -d*i - 58 = -18. Calculate the remainder when s(i) is divided by 5.
4
Suppose 4*i + 0 + 64 = 0. Let n be 2/(-1) + 20 + -5. What is the remainder when n/(-1*4/i) is divided by 18?
16
Let l(z) = 5 - 4 - z + 3 - 2*z + z**2. What is the remainder when 22 is divided by l(4)?
6
Let h(f) = 122*f + 1. Let z be h(2). Let p = z - 104. Let x(u) = -12*u + 648. What is the remainder when p is divided by x(52)?
21
Suppose 107 = 12*w - 121. What is the remainder when 187 is divided by w?
16
Suppose -1383 = -v - 3*l + 832, 2*l - 6652 = -3*v. Suppose -11*z + v = 216. Calculate the remainder when z is divided by 23.
21
What is the remainder when 29 is divided by ((-40)/(-70))/(5/140)?
13
Suppose -3320 = -22*g + 948. What is the remainder when g is divided by 47?
6
Let k(t) = -2*t + 5. Let x be 2 - (-3)/6*6. Suppose 0*h = -n + 4*h, 0 = x*h - 15. What is the remainder when k(-9) is divided by n?
11
Suppose 13 = 5*m - 87. Suppose 4*a = -0*a + 8, a = -5*c + 12. Suppose -c*w + 5*w = 117. Calculate the remainder when w is divided by m.
19
Suppose 0 = 8*q - 81 + 25. What is the remainder when 481 is divided by q?
5
Let w be 5/(-2)*6/(-5). Suppose 0*h = -w*i + 5*h - 13, -5*i = -4*h. Suppose 0 = 334*a + 64 - 732. What is the remainder when i is divided by a?
0
Suppose -3*w = -2*g - 19, 3*g = -7*w + 3*w + 31. Calculate the remainder when w is divided by -6*2/4*-1.
1
Suppose -4*u - u = 0. Suppose g + 2*o + o - 55 = u, 3*o - 101 = -2*g. What is the remainder when 181 is divided by g?
43
Suppose 0 = -r - 928 + 998. What is the remainder when 279 is divided by r?
69
Suppose -129*h + 2120 = -2266. Suppose -17 = -4*a - 5, 3*w - 3*a = 27. Calculate the remainder when h is divided by w.
10
Suppose 2*a + 2*m = 11 + 73, 86 = 2*a + 3*m. Calculate the remainder when a is divided by 6.
4
Let i = 67 - -183. What is the remainder when i is divided by 65?
55
Suppose -4*t - s = s - 26, 0 = 5*t + 5*s - 45. Suppose -w - 3*w + t*d = -56, -4*w = 2*d - 74. Calculate the remainder when 99 is divided by w.
14
Let k(c) be the third derivative of 0*c + 1/24*c**4 + 1/6*c**3 + 0 + c**2. What is the remainder when k(8) is divided by 3?
0
Calculate the remainder when 3144/45 + (-8)/(-60) is divided by 27.
16
Let b be 4/(0 + 2/7). What is the remainder when 5/(2/(-60)*(-17 + b)) is divided by 26?
24
Let p be 1 + -4 - (-16)/4. What is the remainder when 52 is divided by (p*11/5)/((-1)/(-5))?
8
Suppose 0 = 35*t - 2117 - 718. Calculate the remainder when 404 is divided by t.
80
Let b(x) = 71*x**2 + 73*x + 2. What is the remainder when b(-2) is divided by 1?
0
Let t(q) = -15*q. Let c be t(-1). Suppose 2*w - c = -3*w. Suppose -4*a = -a - 27. Calculate the remainder when a is divided by w.
0
Suppose 0 = 5*y + 3*o - 10, 0 = -4*y + 8*y - 3*o - 35. What is the remainder when 69 is divided by y?
4
Let k be -44 + 0*5/(-15). Let h = 56 + k. Calculate the remainder when 59 is divided by h.
11
Suppose 15 = d + 4*z + z, d + 2*z = 18. Suppose -4*t - 4*v + 26 = -18, -3*v = -2*t + 2. Suppose -t*k = 14 - 91. Calculate the remainder when d is divided by k.
9
Let h(j) = -4*j + 22. Suppose 0 = r - 7 - 2. Let p = 22 - r. Calculate the remainder when h(-7) is divided by p.
11
Let i(q) = -q**2 - 18*q + 21. Suppose 0 = -0*p + p. Suppose p = 3*w - 35 + 5. Calculate the remainder when i(-17) is divided by w.
8
Suppose d - 2*d - 2*h - 5 = 0, 0 = -2*d - h - 4. What is the remainder when 77 is divided by ((-40)/28)/((-15)/14 - d)?
17
Let j(z) = -2*z**3 - 14*z**2 - 8*z - 73. Calculate the remainder when 708 is divided by j(-8).
113
Let v = 0 - -2. Let q be (-5 - -4) + v/(-2). Calculate the remainder when 77 is divided by (22 - -3) + q/(-2).
25
Let d(t) = t**3 - 5*t**2 - 8*t + 4. Let a be d(6). Let n be (13 - -3)/(-1)*a. Suppose 0 = z, 0*z + z + n = 4*k. What is the remainder when k is divided by 17?
15
Let y = 8 + -4. Let q = -54 - -75. Let z(n) = -n**3 + 22*n**2 - 22*n + 27. What is the remainder when z(q) is divided by y?
2
Let x(t) = 14*t + 63. What is the remainder when x(16) is divided by 29?
26
Suppose 0 = 2*j - j - 6. Suppose -3*b = -3*m + 6, -j = m - 2*m - 3*b. Suppose -21 = -2*x + m. What is the remainder when 47 is divided by x?
11
Suppose 3*a - 2*j - 78 = 0, -3*j + 104 = 4*a + j. Suppose 2*q + 3*q = 3*q. Let r = 9 + q. Calculate the remainder when a is divided by r.
8
Suppose 0 = 11*j + 29 - 106. Calculate the remainder when 307 is divided by j.
6
Let q(w) = 12*w + 5*w - 5 - w**2 - 3*w. Suppose 28 = 8*c - 60. Calculate the remainder when q(c) is divided by 10.
8
Let q(n) = 3*n**2 - n - 2. Suppose 0 = y - 3 - 5. What is the remainder when (-3)/(-6) - (-52)/y is divided by q(-1)?
1
Suppose 5*c + 5*r - 34 = 3*r, c = -5*r - 7. Suppose -3*u + c*u = 435. Calculate the remainder when u is divided by 30.
27
Suppose p + 18 = 3. Let f(y) = 3*y + 64. What is the remainder when 189 is divided by f(p)?
18
What is the remainder when 4/(-6) + 21/27*24 is divided by 8/2*7/4?
4
Suppose 4*u = 4*o + 160, -30*u + 31*u - 2*o = 41. Calculate the remainder when 233 is divided by u.
38
Let q(n) = 4*n**2 - 2*n + 2. What is the remainder when (-3)/(-1) - 1*(-306)/6 is divided by q(2)?
12
Suppose 4*o - 3 = 29. What is the remainder when o is divided by (2/(-3))/(2*(-12)/108)?
2
Let v(n) = 46*n**2 + n - 1. Let s be v(1). Calculate the remainder when 67 is divided by (39/(-26))/((-3)/s).
21
Let m = -8 + -48. Let n = m + 66. Suppose l + 4*v = 8, -2*l + 7*v - 2*v = -3. What is the remainder when n is divided by l?
2
Calculate the remainder when 279 is divided by ((-1932)/(-4))/7 + -1 + 3.
66
Let v(a) = 5*a**2 + 10*a + 5. Calculate the remainder when 738 is divided by v(-3).
18
Suppose 6*r = 886 + 10976. What is the remainder when r is divided by 90?
87
Let g = -209 + 226. What is the remainder when 129 is divided by g?
10
Let q(o) = -o + 9. Let h be q(4). Suppose 0 = -h*t - 15, -z + 2*z = -3*t + 6. What is the remainder when 89 is divided by z?
14
Suppose -26*m = 3*m - 725. What is the remainder when 167 is divided by m?
17
Suppose -1 = 3*m + 5*n - 5, 10 = 2*m - 4*n. Suppose 3*r - 149