ate the remainder when p(30) is divided by 102.
101
Suppose 117*i = -98*i + 195*i + 9580. What is the remainder when i is divided by 61?
52
Let s(n) = 44*n**3 + 20*n**2 - 26*n + 3. Calculate the remainder when s(2) is divided by 56.
47
Let i(v) = v + 84. Let z be i(6). Suppose z*a = 98*a - 968. What is the remainder when a is divided by 19?
7
Suppose 2*c + 10 = 0, -3*w + 39 + 325 = -2*c. Let f = w - 65. Calculate the remainder when f is divided by 18.
17
What is the remainder when ((-116)/(-8) - 13)/((-6)/(-536)) is divided by 50?
34
Suppose -43*p + 48*p = -905. Let w = -241 + 502. Let g = w + p. Calculate the remainder when g is divided by 41.
39
Let v = 7 - -28. Suppose 447 = 2*f + r - 578, 505 = f + 2*r. Suppose 15*y - f = 10*y. Calculate the remainder when y is divided by v.
33
Let k = -5547 - -5627. Calculate the remainder when 132 is divided by k.
52
Let m(d) = -d**2 + 66*d + 694. Calculate the remainder when 111 is divided by m(-9).
16
Suppose 32 = 4*m + 4*s, 9 = -2*m + 4*s - 5. Let j(k) = 2 - k**m - 5*k - 9 - 16*k**2 + 22*k**2. What is the remainder when j(3) is divided by 2?
1
Suppose -19*k + 859 = 2151. Let r = -54 - k. What is the remainder when 148 is divided by r?
8
Let y(k) = 5538*k - 1157. What is the remainder when y(4) is divided by 29?
28
Let q = 71 - 75. Let b be 169*(-1 + (-2 - -2)) - q. What is the remainder when 34 is divided by ((-5)/(25/6))/(22/b)?
7
Let r(n) = 12*n + 5. What is the remainder when r(5) is divided by 60/5 - (2 + -1)?
10
Suppose 0 = 5*r - 14*r + 2187. Suppose -54 = 21*t - r. Calculate the remainder when 33 is divided by t.
6
Let x = -16785 - -17046. What is the remainder when 798 is divided by x?
15
Suppose g = 4*g. Suppose -10*o + 8*o + 4 = g. Suppose d - o*d = -13. Calculate the remainder when 51 is divided by d.
12
Let x be 815/20 - 0 - (-1)/4. Suppose 0 = x*n + 678 - 4327. What is the remainder when n is divided by 31?
27
Suppose 24 = v + 3*v. Suppose 2*m - v = 5*m, -32 = 5*f - 4*m. Let r = 28 + f. What is the remainder when 36 is divided by r?
16
Suppose -2*j - 20 = 10. Let f(p) = -p**3 - 135*p**2 + 137*p + 141. Let s be f(-136). What is the remainder when 15 is divided by s/j*-3 + 7?
7
Suppose -4*p + 4*k = -2088, 4*p - 1520 = -2*k + 550. Suppose -5*l - 4*x = -p, -3*l = -7*x + 9*x - 311. What is the remainder when 106 is divided by l?
3
Suppose -4*y + 109 - 79 = -2*s, 0 = 3*y - s - 23. Calculate the remainder when 3/(-6) - 670*y/(-32) is divided by 43.
38
Let f(h) = -11*h**3 - 3*h - 2. Suppose -5*k - 3*k - 8 = 0. Calculate the remainder when 229/4 + (-6)/24 is divided by f(k).
9
Suppose -220 = -4*w - 88. Let x(j) = -j**3 - 3*j**2 - 4*j - 15. Calculate the remainder when w is divided by x(-4).
16
Let v = -20639 - -21267. Calculate the remainder when v is divided by 41.
13
Let w(b) = 254*b + 11996. What is the remainder when 632 is divided by w(-47)?
52
Let z = 59 + -64. Let c = 114 - z. What is the remainder when c is divided by 21?
14
Suppose 0 = -o + l + 10, -4*o + 8*l = 3*l - 40. Suppose 16 + o = 2*k. What is the remainder when 72 is divided by k?
7
Let f = 16255 - 13829. Calculate the remainder when f is divided by 18.
14
Suppose 0 = 27*m - 23900 + 167. Calculate the remainder when m is divided by 40.
39
Suppose 4*m - 34 = -2*v, 3*m - v + 17 - 50 = 0. Suppose 155*n - 422 - 43 = 0. Suppose m*c - n*c = 875. What is the remainder when c is divided by 21?
20
Suppose 74*k = -18*k + 15*k + 4620. Calculate the remainder when 225 is divided by k.
45
Let a be (2 - -1)*-1 + -46. Let l = 85 + a. Suppose -l = -2*c - 3*w, 2*c - 8*w - 28 = -7*w. Calculate the remainder when c is divided by 6.
3
Let j be (-2)/2*(740 - 7). Let l = 1101 + j. Suppose 3*s - 3*n - 555 = 0, 552 = 5*s - 4*n - l. What is the remainder when s is divided by 26?
24
Let v = -67 + 72. Let r(a) = -a**2 + 5*a + 10. What is the remainder when r(v) is divided by 4?
2
Let k = 25184 - 9196. Suppose 257*l = 243*l + k. Calculate the remainder when l is divided by 52.
50
Let b = 31266 - 29238. Calculate the remainder when 6091 is divided by b.
7
Let i(r) = 52*r - 109. Calculate the remainder when i(7) is divided by 85.
0
Suppose 4*a - 78 = 110. Let s(h) = -182*h - 495. What is the remainder when s(-4) is divided by a?
45
Let l = -9 + 23. Suppose 0 = -4*u + 1 + 7. Suppose c - 2*i = -u + 4, 4*i = -5*c + 52. What is the remainder when l is divided by c?
6
Suppose -2*v - l = -39, -2*l + l = -1. Let p = 852 + -636. What is the remainder when v is divided by 171/p*8 + 2/3?
5
Suppose 0 = 2*b - 16 + 6. Suppose 0 = -5*s + 4*n - 10 + 42, b*s - 42 = -n. What is the remainder when ((-12)/(-8))/(5 + (-236)/48) is divided by s?
2
Suppose -28*g + 366 = -26*g. Let r = g - 47. Calculate the remainder when r is divided by 47.
42
Let t = 6906 - 6902. Calculate the remainder when 502 is divided by t.
2
Suppose 13*n - 5016 = 7*n. Suppose 21*p + p - n = 0. Calculate the remainder when 340 is divided by p.
36
Suppose 9*g = -23*g - 937 + 3977. Calculate the remainder when 716 is divided by g.
51
Let b(j) = -121*j + 503. Calculate the remainder when 1*(28 - 1) + (3 - 5) is divided by b(4).
6
Let k = 1 + -1. Suppose -4*p + 29 + 47 = k. Suppose -5*q = -15, 2*h - 3*q = -4*q + 75. Calculate the remainder when h is divided by p.
17
Let r(m) = m**3 + 5*m**2 + 8*m + 10. Let v be r(-3). Let a = v - -171. What is the remainder when a is divided by 17?
5
Suppose -40 + 32 = -2*h. Suppose 2*v = -4*s + v + 221, -h*s = 3*v - 231. Calculate the remainder when s is divided by 44.
10
Let h(n) = -5*n + 678. Let j be h(0). Let o = j + -660. Calculate the remainder when 124 is divided by o.
16
Let k = 48 - 30. Suppose -4 = 7*c - k. Calculate the remainder when 5 is divided by c.
1
Let f be (-8892)/(-90) - (-2)/10. Let q = 105 - f. What is the remainder when 15 is divided by q?
3
Suppose 34*a = 2*a - 448. What is the remainder when a*23*(-5)/10 is divided by 42?
35
Let o = 1744 + 450. What is the remainder when o is divided by 9?
7
What is the remainder when (70 + -53)*(-474)/(-3) is divided by 28?
26
Let x = -378 - -385. What is the remainder when x is divided by ((-25)/10 + 3)*4?
1
What is the remainder when 117 is divided by (4 - 2)*(-15)/20 - (-111)/2?
9
Suppose w = 3*w - 14. Let n(o) = o**2 - 2*o + 1. Let d(t) = t**2 + 6*t - 7. Let y(r) = d(r) - 2*n(r). Calculate the remainder when 34 is divided by y(w).
10
Suppose 0 = -i + 13*i + 24. Calculate the remainder when 263 is divided by -6 + (-4 - i) + 41.
32
Suppose -7*l + 289 = 58. Let k(w) = w**3 - 12*w**2 + 16*w - 16. Let p be k(11). Suppose 6*h - p = -9. Calculate the remainder when l is divided by h.
3
Suppose 198 = 6*i - 3*i. Let t = i - 61. Suppose -t = 8*h - 29. What is the remainder when 3 is divided by h?
0
Suppose 4*k = 60*v - 62*v + 3056, 5*k + 4*v - 3829 = 0. Calculate the remainder when k is divided by 20.
1
Suppose 19 = -4*n + 43. Suppose -n = 4*t - 6. Suppose 0 = 4*a - t*a - 132. What is the remainder when a is divided by 18?
15
Let r(k) = 3*k**2 + k + 1. Let j = -55 + 40. Let d be 3/2 - j/30. Calculate the remainder when r(d) is divided by 8.
7
Suppose 2*z = -5*s + 242, 3*s - 142 = -z - z. Calculate the remainder when s is divided by 288/528 + (-560)/(-22).
24
Suppose 3*x + 3 = 3*w, 0 = -2*w + 4*x - 7*x + 12. Suppose -2*r - 40 = 4*i - 6*i, w*i + 3*r = 42. Calculate the remainder when 51 is divided by i.
0
Suppose -343*d + 341*d = 1012. Let u = -462 - d. Let v(t) = t**2 - 3*t + 6. Calculate the remainder when u is divided by v(6).
20
Suppose -2*d + r = -219, 6*d = 3*d - 5*r + 335. Suppose -d = -2*b + 5*p, -5*p - 146 = -2*b - 9*p. What is the remainder when 250 is divided by b?
55
Suppose 291 = 2*c + c. Calculate the remainder when c is divided by (120/(-150))/(4/(-200)).
17
Suppose -2*t + s + 11 = 0, 0 = -2*t + 2*s + 3*s + 7. Let y(w) = -3*w + 5*w - t*w + 3*w + 42. Calculate the remainder when y(-9) is divided by 4.
3
Let s be (399/(-6) + 2)*2. Let j = 133 + s. Suppose 3*b = -j*d + 105, -d + 0*b + 2*b + 40 = 0. What is the remainder when d is divided by 7?
2
Suppose 0 = -4*t + 4, 6*t = -4*g + 11*t + 371. Suppose 2*i = 3*d - 334, g = -5*d + 3*i + 649. What is the remainder when d is divided by 56?
52
Let g(t) = -t**2 - 8*t + 13. Let h be g(-7). Suppose -h = -4*x - 4*a, -5*x - a = a - 34. Calculate the remainder when 158 is di