- 30. Calculate the remainder when 16 is divided by w.
6
Let m = -10 + 27. Let r(v) = v**3 + 9*v**2 + 12*v - 5. What is the remainder when m is divided by r(-7)?
8
Suppose 0 = -2*a + 4*a + 14. Let q = a - -11. Suppose q*b + 0*v = v + 37, 2*b - 22 = 4*v. What is the remainder when b is divided by 3?
0
Let c be ((-35)/(-10) + -2)*2. Let h(i) = 2*i**2 + 4. What is the remainder when 42 is divided by h(c)?
20
Let p(f) = f**2 + 8*f + 11. Let k be p(-4). Calculate the remainder when 8 is divided by 64/80 + (-11)/k.
2
Suppose -3*w - 4*g = -57, 0*w = 3*w + 2*g - 51. Suppose -b + 2 = -5*r - 25, -4*b = 2*r + 2. Suppose b*v + 0*v = 8. What is the remainder when w is divided by v?
3
Let k = 101 - 91. Suppose k*m = 16*m - 222. What is the remainder when 73 is divided by m?
36
Let w(f) = -3*f - 15. Let t be w(-6). Suppose -245 = -5*v + 5*l, 151 = 3*v - l - t*l. Calculate the remainder when v is divided by 12.
9
Calculate the remainder when 76 is divided by (-225)/(-20) - ((-14)/8)/(-7).
10
Suppose 0 = 4*l - l + 3. Let r(x) = 36*x**2. Let i be r(l). Suppose i = 4*t - d - 24, -4*t + 40 = 4*d. Calculate the remainder when 54 is divided by t.
12
Let m(j) = 16*j - 46. Calculate the remainder when 168 is divided by m(5).
32
Let a = 63 + -31. Calculate the remainder when 54 is divided by a.
22
Let g = -27 + 27. Suppose -8*i + g*i + 464 = 0. What is the remainder when i is divided by 16?
10
Suppose 0*b + 142 = 2*t - b, -t - b = -65. Calculate the remainder when -1 + t*(-2)/(-6) is divided by 9.
4
Suppose -16*r = 8*r - 720. What is the remainder when 104 is divided by r?
14
Suppose -3*s = -8*s + 315. Calculate the remainder when s is divided by (115/15 + -8)/(1/(-66)).
19
Let y be (9 + -8)*(2 + 0). Suppose y*t = 103 + 35. Suppose 4*k - t - 27 = 4*s, -2*k - 4*s = -18. Calculate the remainder when 74 is divided by k.
17
Let r(o) = -2*o**2 + 5*o - 4. Let x be r(1). Calculate the remainder when 57 is divided by -4 - ((x - 31) + -1).
28
Suppose 2*a + 4*w = 5*w + 213, 5*a + 3*w - 527 = 0. Suppose -5*i - 160 = -5*g, -3*g + 3*i = -2*i - a. Calculate the remainder when 53 is divided by g.
26
Suppose 0 = -5*m + 318 - 103. Calculate the remainder when 110 is divided by m.
24
Let a = 3466 - 3322. What is the remainder when 285 is divided by a?
141
Let x = -39 + 36. Let l(m) = m**3 + 3*m**2 - 4*m - 1. What is the remainder when l(x) is divided by 7?
4
Let r(f) = 3*f + 1. Let t be r(-6). Let i = 17 + t. Let y = i + 9. Calculate the remainder when 24 is divided by y.
6
Suppose -d = 2*d - 75. Let m(w) = 5*w + 2. Let b be m(3). Let o = -10 + b. What is the remainder when d is divided by o?
4
Suppose -3*l + 4*l = -61. Suppose -2*t - 2*v + 3 = -9, 5*t + 3*v - 22 = 0. Calculate the remainder when 1 - ((t - 4) + l) is divided by 33.
31
Let r(o) = o**3 + 18*o**2 - 14*o - 1. Let j be r(-19). Let v = 137 + j. What is the remainder when v is divided by (0 + -2)*-1 - -19?
20
Suppose -3*l = -2*r + 44, 3*r + 2*r - 110 = 4*l. What is the remainder when 219 is divided by r?
21
Suppose -b - a = -52, 2*b + 4*a = -0*a + 108. Suppose 0*x + x = 14. Suppose 5*w + 5*p - x = 2*w, 0 = 5*w + p - 60. What is the remainder when b is divided by w?
11
Let z be 129 - ((-9)/(-1))/3. Suppose 6*x = 8*x + z. Let v = -37 - x. What is the remainder when 101 is divided by v?
23
Suppose -23 = -4*v + 3*d - 6*d, -4*d - 20 = -v. Calculate the remainder when 18 is divided by v.
2
What is the remainder when 153 is divided by 1/((-86)/22 - (-7 - -3))?
10
Let w(m) = -3*m + 156. Calculate the remainder when w(16) is divided by 45.
18
Suppose -46*z = -41*z - 85. What is the remainder when 115 is divided by z?
13
Let q = 1424 + -1152. Calculate the remainder when 547 is divided by q.
3
Let q = -6 + 13. Suppose 8 = 4*f, f - 90 = -4*g + 4*f. What is the remainder when g is divided by q?
3
Let k(y) = y**3 + 15*y**2 + 13*y + 12. Calculate the remainder when k(-14) is divided by 26.
0
Let w(t) = -3*t - 25. Let i be w(-17). Suppose 5*s - i = -j, 5*j = 3*j - 4*s + 64. Calculate the remainder when j is divided by 20.
16
Suppose 0 = 13*i - 49*i + 2448. Calculate the remainder when 2241 is divided by i.
65
Suppose -15892 = -30*v + 26018. What is the remainder when v is divided by 100?
97
Let t = 25 + -22. Suppose -3*w + 0 - t = -f, -4*f - 2*w = -68. Suppose 5*a = -5*i + f, -4*i = -3*a + 2*a + 23. What is the remainder when 34 is divided by a?
6
Suppose -6*p = -3*s - 2*p + 4, 0 = 5*s - 2*p - 16. Let b(f) = -f**2 - 7*f + 8. Calculate the remainder when b(-6) is divided by s.
2
Let z = -35 + 66. Calculate the remainder when z is divided by 18.
13
Let c = -13 - -15. Suppose -5*z + 4*o = -318, 0*z + 2*z - 5*o = 117. Suppose a - z = -c*a. Calculate the remainder when 85 is divided by a.
19
Let c = -882 + 901. Calculate the remainder when (-2)/(-5) + 819/15 is divided by c.
17
Suppose 5*p + 382 = -3*y, -4*p = -0*y - 5*y - 612. Let d = y - -156. What is the remainder when 86 is divided by d?
22
Let h(x) = -x**3 - 2*x**2 - 3*x. Let g be h(-2). Suppose -3*a + 249 = 3*j, g*j - 385 = j + a. What is the remainder when j is divided by 20?
18
What is the remainder when 70 is divided by (6/(-10))/(-1 + (-156)/(-160))?
22
Let m = 16 - 6. Let h(a) = -5*a + 153. Calculate the remainder when m is divided by h(30).
1
Let n(p) = 2*p**3 - 7*p**2 - 11*p + 42. Calculate the remainder when 64 is divided by n(5).
2
Suppose -51 = -f + 9*r - 4*r, -r - 183 = -5*f. Calculate the remainder when 175 is divided by f.
31
Suppose 2*i + 4*w = 16, 0 = -2*i + w + 4*w + 43. Suppose 0 = -2*r + 4*v + 272, -2*v = 5*r - 255 - 437. What is the remainder when r is divided by i?
12
Suppose -167 + 197 = 2*v. What is the remainder when v is divided by 13?
2
Let s(f) = -f**2 - 4*f - 2. Let u be s(-5). What is the remainder when 70 is divided by (-28)/(-8)*(-36)/u?
16
Suppose 0 = -2*i + i + 6. Suppose 69*k = 53*k + 272. What is the remainder when k is divided by i?
5
Suppose -2*y - 2*y - 12 = 0. Let k(w) = -27 + w + 23 + 0*w + 2*w**2 - 6*w. What is the remainder when k(y) is divided by 16?
13
Let h(g) = g**2 + 4*g - 5. Let i = -47 + 50. Calculate the remainder when 76 is divided by h(i).
12
Let a = -52 - 5. Let j = -24 - a. What is the remainder when j is divided by 7?
5
Let x be (-1)/3 - (-144)/27. Suppose 3*y - x*y + 34 = 2*b, -4*b + 5*y = -95. What is the remainder when (-151)/(-4) - 3/(-12) is divided by b?
18
Suppose 14*l = -9 + 373. Calculate the remainder when 192 is divided by l.
10
Suppose -9 = -4*n + 103. Suppose -2*q + n = 2*q. Calculate the remainder when q is divided by 2/(-11) - (-48)/22.
1
Suppose 2860 = 25*q + 160. Calculate the remainder when q is divided by 29.
21
Suppose -2*r - 2*t = -114, -r + 18 + 39 = -4*t. Calculate the remainder when 566 is divided by r.
53
Let w = 1069 - 909. What is the remainder when w is divided by 18?
16
Let h be (-270)/(-75)*(-100)/(-6). Suppose 236 = -2*q + h. Let x = -25 - q. What is the remainder when x is divided by 32?
31
Let g = 2 + 0. Let k be -4 - -2 - 231/(-3). What is the remainder when g is divided by k/30 + (-6)/4?
0
Suppose 7*c - 3*c = 0. Suppose -n - 2*t + 8 = -0*n, -3*n + 5*t - 9 = c. Suppose n*w - 36 = 26. What is the remainder when w is divided by 17?
14
Suppose -2*z + 10 = t + 4, -4*t + 2*z = 6. Let a = 4 + t. Let x = 8 + a. Calculate the remainder when x is divided by 4.
0
Let p = 16 - 4. Let v(s) = -8*s**2 + 2*s + 15. Let o(l) = 23*l**2 - 5*l - 47. Let a(k) = 6*o(k) + 17*v(k). What is the remainder when a(-6) is divided by p?
9
Let c = -201 + 232. Calculate the remainder when c is divided by 11.
9
Let l = 1 + 4. Let j = l - 3. Suppose 7 = j*v - 3*f - 33, 10 = -5*f. What is the remainder when 49 is divided by v?
15
Let w be ((-33)/(-6))/((-1)/(-28)). Suppose 3*u = -58 + w. What is the remainder when u is divided by -1*6/5*-10?
8
Suppose -y - 2*x = -6 - 31, 5*y - x - 240 = 0. What is the remainder when 151 is divided by y?
10
Suppose -12 = 5*t - 8*t, -24 = -2*m + 2*t. Let p = -870 - -949. What is the remainder when p is divided by m?
15
Suppose -3*m + 3 = -6. Suppose 0 = 5*h - 3*h + 2, -m*d - h = -77. Calculate the remainder when d is divided by 7.
5
Let p = -8 + 13. Suppose -r + 3 + p = 0. Suppose -5*q + 42 + 33 = 0. Calculate the remainder when q is divided by r.
7
Let z be 2/3*33/(-22). Let d(c) = -14*c**3 - 2*c**2 