q. Calculate the remainder when 22 is divided by i.
4
Suppose -5*p - 3*w + 317 = 0, 0 = 2*p - 4*w - 4 - 128. Let t(j) = j**2 + 9*j - 9. Calculate the remainder when p is divided by t(-11).
12
Let x = 188 + -163. Calculate the remainder when 322 is divided by x.
22
Let z be (-8140)/(-70) - (-2)/(-7). Suppose 0 = 4*g - z + 28. Suppose 0 = f - 10 + 4. What is the remainder when g is divided by f?
4
Let g(n) = -60*n - 49. What is the remainder when 28 is divided by g(-1)?
6
Let u = 247 + -220. What is the remainder when 215 is divided by u?
26
Let g(d) = 2*d**2 - 3*d + 3. Let v be g(2). Suppose v*u - 24 = -4. Let n = -307 - -318. What is the remainder when n is divided by u?
3
Let o(z) = -2*z**2 + 2*z + 16. Let k = 79 + 0. What is the remainder when k is divided by o(0)?
15
Let n = 436 - 348. What is the remainder when n is divided by 6?
4
Let u(h) = 2*h**2 - 6*h - 1. Let t be 11 - (15/3 - 2). Let l = t + 4. Calculate the remainder when u(6) is divided by l.
11
Calculate the remainder when (-5)/((-55)/1648) + (-2)/(-11) is divided by 12.
6
Suppose 0 = -5*y + 2*d, 2*d - 10 = -0*d. Suppose -y*s + 1 + 29 = 2*q, -2*q + 36 = 5*s. Calculate the remainder when q is divided by 4.
1
Suppose 3*o - 39 = -4*i - 6, -4*o + 34 = 2*i. Let g = 1942 - 1938. What is the remainder when o is divided by g?
3
Let o(g) = -4*g + 6. What is the remainder when o(-6) is divided by ((-48)/(-3))/(51/51)?
14
Let c = 58 + -38. Let r(j) = -5*j - 43. Let l be r(-19). Suppose 3*h - z - 32 = 5, -4*h = -4*z - l. What is the remainder when c is divided by h?
8
Let c(f) = 23*f - 1. Let r be c(4). Suppose r = -8*h + 15*h. Calculate the remainder when 35 is divided by h.
9
Let i = -1292 + 1441. What is the remainder when i is divided by 43?
20
Let x(j) = -j**2 + 7*j - 6. Let s(i) = 3*i**2 - 2*i + 2. Suppose 4*c = 1 + 3. What is the remainder when x(5) is divided by s(c)?
1
Let d(g) = g + 17. Calculate the remainder when 93 is divided by d(-5).
9
Let b = -31 + 41. Let k = 77 - -71. Suppose -5*y = -4*h + k, 0 = -h - h + 2*y + 74. Calculate the remainder when h is divided by b.
7
Suppose 2*u = 4*u + i - 23, -2*u = -4*i - 48. What is the remainder when (-2)/(-1)*265/10 is divided by u?
11
Let v = 41 - 36. Suppose v*f + 31 = 3*x - 2*x, 2*x - 5*f = 87. What is the remainder when x is divided by 15?
11
Let z = -80 + 166. Let j = z - 67. Calculate the remainder when 37 is divided by j.
18
Let b(v) = 7*v**2 - 5*v**2 + 7*v - 2*v**2 - 9 - v**2. Calculate the remainder when (-3)/(2*(-1)/2) is divided by b(5).
0
Let z = 785 + -147. What is the remainder when z is divided by 109?
93
Let f(l) = 4*l - 5. Let a be f(2). Suppose 0*z = a*z - 357. What is the remainder when z is divided by 30?
29
Let y(q) = q**2 + 3*q - 3. What is the remainder when y(4) is divided by 13/(65/10) + 8?
5
Let g(f) be the second derivative of 11*f**3/6 + f. Suppose 0 = -152*j + 153*j - 7. Calculate the remainder when g(3) is divided by j.
5
Let q = -463 - -916. What is the remainder when q is divided by 12?
9
Let i(m) be the first derivative of 3*m**4/2 - m**3 + 2*m**2 - 7*m - 16. Calculate the remainder when i(2) is divided by (-114)/(-4)*2/3.
18
Suppose 0 = 5*g - 279 + 69. Let d(j) = j**2 + 28*j - 49. Calculate the remainder when d(-32) is divided by g.
37
Let v = -104 + 250. Suppose 0 = -14*c + 16*c - v. Calculate the remainder when c is divided by 15.
13
Let q(u) = 7*u**2 - 16*u - 36. What is the remainder when 212 is divided by q(-2)?
20
Suppose 4*p = 5*p - 19. Suppose 5*n - 14 = -2*l + 2*n, 2*n + 34 = 3*l. What is the remainder when p is divided by l?
9
Let w(g) = g + 24. Let p be w(10). Let i(s) = -3 - 2 - p*s + 27*s. What is the remainder when i(-2) is divided by 7?
2
Let x(n) = 35*n - 126. Calculate the remainder when x(6) is divided by 43.
41
Let r = -82 - -148. Let b = -43 + r. Calculate the remainder when 114 is divided by b.
22
Suppose -19 = -2*a + 1. What is the remainder when 39 is divided by a?
9
Let g = -93 - -119. Calculate the remainder when 38 is divided by g.
12
Let n = 90 - 79. Calculate the remainder when 31 is divided by n.
9
Suppose 0 = -4*n - 20, 4*f + n - 15 = -f. Suppose f*c + 2*a = c + 76, 3*c = a + 79. What is the remainder when c is divided by (-21)/49 + 66/7?
8
Let a be (-13)/(-13)*(-8)/2. Let w = a + 40. What is the remainder when 250 is divided by w?
34
Suppose -6*s + 64 = 2*s. Let f be 2/s - 110/(-40). Suppose m + f*w + 4 = 2, 0 = 5*w + 25. Calculate the remainder when 50 is divided by m.
11
Suppose 615*k + 62 = 617*k. Suppose 0 = -a + 4*a - 366. Calculate the remainder when a is divided by k.
29
Let h(o) = 3*o**2 + 12*o + 11. Let g be h(-9). Suppose 2*t + 3*p - 98 = -0*p, -3*t = 4*p - g. What is the remainder when t is divided by 13?
7
Let p be 10/(-5) - (-139 + 0). Let u = p - 69. Suppose 5*s - u = s. Calculate the remainder when 65 is divided by s.
14
Suppose 3*f + g - 84 = -f, 5*f - 3*g - 122 = 0. Let o = 19967 - 19792. What is the remainder when o is divided by f?
21
Suppose 0 = -15*s - 127 + 502. Suppose 0 = 5*r + 121 - 361. What is the remainder when r is divided by s?
23
Suppose 63 = 3*m - 3*w + 2*w, 5*m + w = 113. Let n = 101 - 93. Calculate the remainder when m is divided by n.
6
Suppose 5*s - 3*u + 10 = 0, 0*s - 10 = -s + 3*u. Let h(k) = k + 24. What is the remainder when h(s) is divided by -3*(0 - 30/9)?
9
Let r(a) = 13*a**3 + 4*a**2 - a - 2. Let h be r(1). Suppose -2*q + q + h = -n, -4*q + 56 = 5*n. Calculate the remainder when 94 is divided by q.
10
Suppose -n - 5 = 0, 7 = 3*l + n + 3. Calculate the remainder when 5 is divided by l.
2
Let v = 31 - 31. Suppose 2*t + 5*z - 13 = v, 0*z - 14 = -3*t - 2*z. Suppose 4*l = c + 123, -c + t + 161 = 5*l. What is the remainder when l is divided by 13?
6
Let d = 150 - 78. Suppose -5*i + 41 = -4*k - 50, 4*i - d = 3*k. Calculate the remainder when i is divided by 8.
7
Let s be ((4 - 3) + -8)/(-1). Suppose -5*v = -s*v + 116. Suppose -f - 15 = -2*f - 5*b, f = b + 21. Calculate the remainder when v is divided by f.
18
Suppose -33*j = -23*j - 140. What is the remainder when 17 is divided by j?
3
Let y = 10 + -21. Let b(k) = k + 15. Let d be b(y). What is the remainder when 45 + (d + 0)/1 is divided by 17?
15
Let v(y) = -y**3 + 8*y**2 - 4*y + 3. Let h be v(5). Let g = 68 - h. What is the remainder when 28 is divided by g?
8
Let w be 3 + (506/2 - 6/2). Suppose -j = -12*j + w. What is the remainder when 159 is divided by j?
21
Calculate the remainder when 2*(-8)/(-16)*175 is divided by 13.
6
Let z(s) = 8*s**2 + 13*s + 14. What is the remainder when 2 - 3*-23 - 3 is divided by z(-1)?
5
What is the remainder when 15/40*1 + 8871/24 is divided by 22?
18
Suppose -m - 4*m = -160. Suppose -5*p + m = -2*x - 78, 4*x = -20. Calculate the remainder when 33 is divided by p.
13
Let r(u) = -55*u + 7. What is the remainder when r(-3) is divided by 136?
36
Let q = -30 + 425. Calculate the remainder when q is divided by 3.
2
Suppose -4 = 2*y - 10. Suppose -3*k = 2*u - 76, -46 = -y*k - u + 5*u. Suppose g = k + 15. Calculate the remainder when g is divided by 19.
18
Suppose 3*d + d - 12 = 0. Let n = d - -2. Let w = 6 + n. What is the remainder when 43 is divided by w?
10
Let y = -42 + 534. What is the remainder when y is divided by 33?
30
Suppose -43*u + 1986 = -938. Calculate the remainder when u is divided by 13.
3
Suppose 3*o = 2*f - 128, -5*f = -o + 3*o - 358. Let i be 2 + 16 + 4/2. Suppose 2*l - 16 = i. What is the remainder when f is divided by l?
16
Suppose 5940 = 7*u + 26*u. What is the remainder when u is divided by 32?
20
What is the remainder when (-6)/(-16) - (-1573)/8 is divided by 4?
1
Let r = -36207 + 36375. Suppose -140 = -7*c + 3*c + 2*z, 4*c - 126 = -5*z. Calculate the remainder when r is divided by c.
32
Suppose t = -2*g - 4*t - 38, -2*g - 30 = 3*t. Let d = g + 14. What is the remainder when 5 - (-2 - -1 - 1) is divided by d?
2
Suppose 3*c + 5*c = 1080. What is the remainder when 15 is divided by 18/c - 236/(-30)?
7
Suppose -245*w = -216*w - 551. What is the remainder when 52 is divided by w?
14
Suppose u - 62 = 8. Suppose -73*q + u = -71*q. Calculate the remainder when 102 is divided by q.
32
Let c = -2083 - -2098. Calculate the remainder when 65 is divided by c.
5
Let g = 387 - 381. Calculate the remainder when 141 is divided by g.
3
Suppose 2*