9. Calculate the remainder when 123 is divided by m(21).
21
Let c = -470 + 521. What is the remainder when c is divided by 18?
15
Let b = -570 - -609. Calculate the remainder when 153 is divided by b.
36
Calculate the remainder when 77 is divided by 2/(-3 + 55/15).
2
Let u = -7 - -23. Let k = 113 + -108. What is the remainder when u is divided by k?
1
Let h = 34 - 57. Let r = h + 58. Suppose 1 + r = 2*l. What is the remainder when 70 is divided by l?
16
Let h = 1 - -35. Let z = h - 3. What is the remainder when z is divided by 7?
5
Let b be (-1)/(9/(-4) - -2). Let g(r) = -r**3 + 5*r**2 - 3*r - 1. Calculate the remainder when (6/4 + -2)*-22 is divided by g(b).
2
What is the remainder when -3*143*-3*(-10)/(-90) is divided by 42?
17
What is the remainder when 304 is divided by (20/(-15))/(40/(-510))?
15
Suppose -2*d + 7*d - 15 = 0. Suppose d*j - 2*o = -o + 14, -2*j = 4*o + 14. Suppose -6*y + 88 = 5*y. Calculate the remainder when y is divided by j.
2
Let m = 286 - 169. Calculate the remainder when m is divided by 36.
9
Let u(n) = 7*n**2 - 92*n - 16. Calculate the remainder when u(15) is divided by 18.
17
Suppose 1904 = 4*r + 60. What is the remainder when r is divided by 77?
76
Let s = -2740 - -2852. Calculate the remainder when 350 is divided by s.
14
Suppose 2*v + 2*j - 138 = 0, 6*v - 3*j - 195 = 3*v. What is the remainder when v is divided by 36?
31
Let i(l) = -l - 1. Let c be i(3). Suppose -3*g + 0*g + 6 = 0. Calculate the remainder when 78 is divided by -3 + ((-240)/c)/g.
24
Let b = 325 - 247. Suppose 5*h - 3*d + d + 37 = 0, -5 = h + 2*d. What is the remainder when b is divided by (-77)/h + 2/(-2)?
8
Suppose -4*l + 121 = -3*o - 77, 0 = -l. Let m = o + 88. Calculate the remainder when 65 is divided by m.
21
Suppose -3*h + 8 = 5*y - 0, 3*y - 4*h + 1 = 0. Let a(o) = 16*o**3 - 3*o**2 + o. Let b(n) = 28*n**2 - n. What is the remainder when b(1) is divided by a(y)?
13
Let h = 567 - 514. What is the remainder when 234 is divided by h?
22
Let n = -76 + 558. Calculate the remainder when n is divided by 70.
62
Let z(h) = -3*h**2 + 28*h + 10. What is the remainder when 124 is divided by z(3)?
57
Let d = -230 - -415. Suppose 0 = 11*x - 6*x - d. What is the remainder when x is divided by 19?
18
Let c(k) = -9*k**3 - 2*k**2 + k. Let f be c(1). What is the remainder when ((-1)/((-5)/f))/(2/(-29)) is divided by 10?
9
What is the remainder when 192 is divided by ((-104)/16)/(2/8*-2)?
10
Suppose -3*c + 390 = -3*v, -3*v - 18 - 640 = -5*c. Suppose 5*w + 89 - 8 = 3*l, -2*l + 54 = w. What is the remainder when c is divided by l?
26
Let x = 1440 - 407. What is the remainder when x is divided by 9?
7
Let b(h) = -h**2 + 10*h + 6. Let v be 3*1*38/57. Suppose 0 = q + 2*m - m - 32, 0 = -5*q + v*m + 125. Calculate the remainder when q is divided by b(10).
3
Suppose 5*k = 4*n + 750, 0 = 2*k - 3*k + 5*n + 150. What is the remainder when 891 is divided by k?
141
Let a = 354 - 333. What is the remainder when 57 is divided by a?
15
Suppose -8*m + 1940 = 452. Calculate the remainder when m is divided by 54.
24
Suppose 3*n = 2*n + 55. Suppose -c - f - 2*f + 11 = 0, 5*c = -2*f + n. Calculate the remainder when c is divided by 4.
3
Let x = 2 + 14. Let o = 414 - 386. Calculate the remainder when o is divided by x.
12
Let f(j) be the second derivative of -j**5/20 + 3*j**4/4 + 11*j**2/2 + 7*j. Calculate the remainder when (-4)/10 - (-434)/10 is divided by f(9).
10
Let q be 28/(-5) - 24/60. Calculate the remainder when (-54)/((-7)/((-21)/q)) is divided by 16.
11
Let u be 8/6 + 8/12. Suppose -2*r - 5*j - 6 = 0, 0 = r - 4*r - 2*j + u. Let y(f) = 12*f + 1. Calculate the remainder when y(r) is divided by 14.
11
Let l(v) = -v**3 + 4*v**2 - 4*v + 3. Let w be l(2). Suppose -2*a = w*a - 35. Let j = 854 - 820. Calculate the remainder when j is divided by a.
6
Let j be 2 + (-8)/(-2) + 3. Suppose j*r - 4*o - 161 = 4*r, -5*r = -3*o - 162. Calculate the remainder when r is divided by 9.
6
Suppose x - 17 - 9 = 0. Let q = -45 + 51. What is the remainder when x is divided by q?
2
Let n = -2 + 4. Suppose -8 = n*p - 6*p. Suppose 3*j - p*m - 120 = -m, 0 = 5*j + 2*m - 189. What is the remainder when j is divided by 10?
9
Suppose -3*l - 2*l = -120. Suppose 4*f - l = -5*x + 65, -1 = -f + 3*x. Let t = 109 - f. What is the remainder when t is divided by 32?
29
Suppose -v + 8*v = 602. Calculate the remainder when v is divided by 18.
14
Let d be (1*3)/((-12)/(-24)). Suppose d*u + 18 = 9*u. What is the remainder when 20 is divided by u?
2
Suppose 3*u + 2*i = 83, 2*i + 108 = 3*u - i. Suppose 50 = a + 4*q, -5*a - u = q - 205. Calculate the remainder when a is divided by (-19 + -1)*24/(-40).
10
Let h(w) = -w**2 + 12*w - 10. Let n be h(11). Calculate the remainder when (2/(-4))/((-4)/144) is divided by (50/(-5))/(-3 + n).
3
Let u = 60 + -36. Let s = u - 2. Suppose -2*b + 2*i = -5*b + 267, 0 = 4*b - i - 345. What is the remainder when b is divided by s?
21
What is the remainder when 165 is divided by 101 + (-70)/(-14) + 1?
58
Calculate the remainder when (1 + (-174)/6)*-7 is divided by 27.
7
Let d = -814 - -835. What is the remainder when 200 is divided by d?
11
Let c = 115 - 61. Suppose -2*r = -2*d + 36, 2*d + 5*r - 47 = -18. Suppose 3*j = -d + 74. What is the remainder when c is divided by j?
16
Let o(r) = -2*r - 8. Let w be o(-4). Suppose 3*m - 4*s = -w*m + 24, 2*s - 14 = -5*m. Suppose -m*d + d + 87 = 0. Calculate the remainder when d is divided by 15.
14
Suppose -q = 4*x + 4, 0 = -5*x - 3*q + 2*q - 4. Suppose 2*y = -x + 24. What is the remainder when y is divided by 3?
0
Let i = -11 - -22. Suppose -10 = 3*q + 5*o, 4*o + 29 = 4*q - i. Suppose q*c = 22 - 2, 0 = 3*w + 4*c - 148. Calculate the remainder when w is divided by 23.
21
Let k = 21 + 21. Suppose 0 = 5*f + 4*r + k, -2*f - 1 = -3*r + 2. Let y = 8 + f. Calculate the remainder when 6 is divided by y.
0
Let g(d) = d + 16. Calculate the remainder when g(7) is divided by 11.
1
Let k = 923 + -657. What is the remainder when k is divided by 15?
11
Let d = -140 - -167. What is the remainder when 93 is divided by d?
12
Suppose 51 = 3*h - 0*h. Suppose 25 = -7*q + 2*q, 0 = 4*w + 3*q - 113. What is the remainder when w is divided by h?
15
What is the remainder when ((-78)/5)/(-1)*60/8 is divided by 20?
17
Let m = -37 - -42. Suppose 4*k = 9*w - 10*w + 101, -m*w - 2*k = -487. What is the remainder when w is divided by 26?
19
Let y = -514 - -870. What is the remainder when y is divided by 60?
56
Suppose 4 = -2*m - 20. Let h = m + 28. Suppose a - 12 = -3*t, 0 = a + 6*t - t - h. Calculate the remainder when 22 is divided by a.
4
Let t(q) = -8*q - 19. Let h be t(-3). Suppose h*i - 69 = 6. Calculate the remainder when i is divided by 10.
5
Let z(k) = 3*k - 3. Let i be z(3). Suppose -g + 13 + i = 0. Let a = -505 - -516. Calculate the remainder when g is divided by a.
8
Let l(f) = -9*f - 73. Calculate the remainder when l(-12) is divided by 17.
1
Let i(y) = -y**2 - 6*y - 11. Let v be i(-5). Let a be 6/2 - 6/v. Calculate the remainder when 29 is divided by 10/a*(-32)/(-10).
5
Let z = 1452 - 1398. Calculate the remainder when 152 is divided by z.
44
Suppose -30*o + 70*o = 360. Calculate the remainder when 193 is divided by o.
4
Let k = -70 + 104. Let v = -7 + k. Suppose l - 2*l = -15. Calculate the remainder when v is divided by l.
12
Let j be (15 + 5)*5/4. Let c = -27 + j. Let b = 3 - c. What is the remainder when 14 is divided by b?
4
Suppose 0 = n + 4*n - 1805. Suppose 2*f - n = -5*t + 3*f, 3*t + 3*f - 213 = 0. Calculate the remainder when t is divided by 37.
35
Let f(j) = 3*j**3 - 4*j**2 + 7*j - 8. Calculate the remainder when 83 is divided by f(2).
13
Let s(j) = 4*j**3 + 3*j**2 - 3*j + 4. Let l be (-3)/(-12) + 56/32. What is the remainder when s(l) is divided by 11?
9
Let s(b) = -11*b + 19. Let j be s(-7). Suppose 46*h - 47*h = -j. Calculate the remainder when h is divided by 20.
16
Suppose 0 = 2*r - 1404 + 1278. Calculate the remainder when 175 is divided by r.
49
Let l(g) = 5*g + 1. Let m(j) = 16*j + 4. Let p(d) = -7*l(d) + 2*m(d). Let w(t) = -t + 93. Calculate the remainder when w(66) is divided by p(-3).
7
Let l = 1 + 5. Suppose 7*u - l*u - 20 = 0. Suppose 2*c = 5*v + u, -5*c + 5*v + 76 = 11. What is the remainder when 28 is divided by c?
13
Suppose -161 = -2*a - 31