9, -r*t - 5*z = -6. Let w(p) = -17*p - 2. What is the remainder when w(t) is divided by 7?
1
Let z(j) = j**2 - j - 4. Suppose -3*r = 5*t - 18 - 2, t + 3*r = 4. Let g(n) = 14*n - 921. What is the remainder when g(68) is divided by z(t)?
7
Let m be -12 + 4 - 2*(-5)/2. Calculate the remainder when 173 is divided by m + 2 - (3 - 9).
3
Suppose 0 = 3*f - b - 166, 5*f = 104*b - 102*b + 276. What is the remainder when f is divided by 23?
10
Suppose 29*z - 4*u + 108 = 34*z, -z = 3*u - 15. Let q(v) = 29*v**2 + 3*v - 3. Let b be q(2). Suppose 0*a + b = a. What is the remainder when a is divided by z?
23
Suppose 1734 - 483 = 3*h. Suppose 98 = y + 4*p, 3*y + p - 604 + 475 = 0. Calculate the remainder when h is divided by y.
37
What is the remainder when (-7 + 1)*(-984318)/522 is divided by 92?
90
Suppose 15*m - 4*m - 748 = 0. Suppose -m + 488 = 15*t. Calculate the remainder when 99 is divided by t.
15
Suppose 418 + 380 = 4*g - 5*v, -g + 189 = 4*v. Let h = 14 - 11. Suppose 0 = -h*b + 109 + g. Calculate the remainder when b is divided by 35.
32
Let n be 2 + (106/9 - (-2)/9). Suppose 0 = 5*i + 2*i + n. Calculate the remainder when 32 is divided by 1/(32/(-88)*i/8).
10
Suppose -107*k - k + 540 = 0. Suppose -32 = -q + 42. Calculate the remainder when q is divided by k.
4
Let d = 184 - 95. Suppose 33*h - 17*h - 337 = w, -3*h + 5*w = -68. Calculate the remainder when d is divided by h.
5
Let i(v) = -25*v - 736. Calculate the remainder when 318 is divided by i(-34).
90
Let y(l) = -l**3 - l**2 + l. Let g be y(-2). Suppose g*a = 13 - 7. Calculate the remainder when (1 + -3 + a)*-1 - -34 is divided by 12.
9
Let v(t) = t**3 + 10*t**2 + 9*t - 4. Let b be v(-9). What is the remainder when 10/(80/408) - b is divided by 19?
17
Let m(x) = -x + 5. Let j be m(0). Suppose 24 = -j*q + 144. Let v = 489 + -430. Calculate the remainder when v is divided by q.
11
Suppose -207 - 623 = -10*f. Calculate the remainder when 647 is divided by f.
66
Suppose m - 4*p - 151 = 0, 131 + 159 = 2*m + 4*p. Let t = -106 + m. What is the remainder when t is divided by 5?
1
Let i(o) = o**3 + 6*o**2 - 2*o - 7. Let q be i(-6). Let u = q - -9. What is the remainder when -3*(-6)/(108/318) is divided by u?
11
Let p = -624 + 594. What is the remainder when 26 is divided by 1 - (424/p + (-52)/(-390))?
11
Let y(m) = 7*m + 187. Let r be y(-27). Let x(g) = 3*g**2 + 7. Calculate the remainder when x(-6) is divided by ((-184)/16 - 8)*r.
37
Suppose -8*m - 2240 = -16*m. Suppose 4*u - m = -10*u. Let v(o) = -6*o. What is the remainder when u is divided by v(-2)?
8
Let u = 264 + -239. What is the remainder when 4072 is divided by u?
22
Calculate the remainder when 291 is divided by -6 + 24 - (36/(-54))/((-2)/(-15)).
15
Suppose 3*p - 344 = -68. Let j = p + -55. What is the remainder when 110 is divided by j?
36
Suppose 5756 - 122416 = -127*c - 63*c. Calculate the remainder when c is divided by 204.
2
Let z = 5016 - 4983. What is the remainder when 65 is divided by z?
32
Suppose 180 = 38*t + 28. Suppose 5*x = 3*s + 21, -3*x - 7 = -t*s - 24. Calculate the remainder when x is divided by 3.
0
Let h = -58 + 49. Let x(l) = l**3 + 8*l**2 - 13*l - 6. Let c be x(h). Let t = c + -22. What is the remainder when 23 is divided by t?
7
Suppose -103 = -q - 5*o, 82*o = -4*q + 77*o + 502. Calculate the remainder when q is divided by (-18)/(-12) + (-159)/(-6).
21
Let i = -465 - -469. Suppose -i*f = -0*f - 152. What is the remainder when f is divided by 23?
15
Suppose 0 = z + 4*p - 11, -2 + 1 = -3*z - 4*p. Let x(m) = m**2 - 8. Calculate the remainder when 100 is divided by x(z).
15
Let m = -9915 + 9945. What is the remainder when 143 is divided by m?
23
Let l = -241 - -206. Calculate the remainder when (-3381)/l + (-3)/5 is divided by 25.
21
Let w(v) = v**2 + 26*v - 137. Suppose -2*k = -4*k - 4, f = -2*k + 8. Suppose f*j - 188 = 8*j. Calculate the remainder when j is divided by w(-31).
11
What is the remainder when ((-4)/5)/((-28)/1680) is divided by 24?
0
Suppose 34683*r = 34668*r + 2850. Calculate the remainder when 2634 is divided by r.
164
Let q = -2051 + 3866. What is the remainder when q is divided by 70?
65
Let a(v) = v**3 - 3*v**2 - 2*v + 5. Calculate the remainder when 21 is divided by a(1).
0
Let n(v) = -v**2 + 20*v + 24. Let b be n(10). Suppose -58 = a - b. Calculate the remainder when 81 is divided by (a/(-8))/(24/(-64)).
15
Suppose 2*d + 5*k = 7*d - 15, -5*d - 3*k = -15. What is the remainder when ((-1)/(d/(-5)) + 1)*6 is divided by 1?
0
Let m(a) = -a**3 + 10*a**2 - 3*a - 4. Let n be m(8). Suppose -103 = -7*s + n. Let l = -160 + 244. What is the remainder when l is divided by s?
26
Calculate the remainder when (17/3 + (128 - 135))*-93 is divided by 22.
14
Suppose j = 41 + 5. Suppose 288 + 883 = 9*f - 332. What is the remainder when f is divided by j?
29
Let h be (-2)/2*5*(-1 - 105). Let t = h + -499. Calculate the remainder when 555 is divided by t.
28
Let b = 1692 + -1389. Calculate the remainder when b is divided by 153.
150
Suppose -a = -5*a + 8. Suppose -2*l + 3*u + 17 = 5, -3*l + 28 = -a*u. Let f = -275 - -282. What is the remainder when l is divided by f?
5
Let i(d) = -10*d - 37. Let b be i(-4). Suppose 3*v - 5*k - 50 = 0, v + 0 = b*k + 14. What is the remainder when v is divided by ((-12)/(-20))/(4/60*3)?
2
Suppose -4*f = 2*f - 174. Let m(n) = -n + 49. What is the remainder when (-232)/(-3) + (-1)/3 is divided by m(f)?
17
Let z be (1/(-5) + 1)*(-125)/(-50). Suppose 2*c + z*a = -3*c + 2695, 539 = c + 5*a. Suppose 14*t - c - 49 = 0. What is the remainder when t is divided by 9?
6
Suppose 0 = -2*w - 3*w + 1085. Suppose -5*n - 4*q - w = -7*q, -4*n = 2*q + 156. Let k = -26 - n. What is the remainder when 28 is divided by k?
13
Let w = 28 + 72. Suppose w = 2*g + 3*g. Let y(o) = -4*o**3 + 94*o**2 - 44*o - 34. Calculate the remainder when g is divided by y(23).
8
Suppose -89 = -3*d + 3*q - 47, 0 = -4*q. Calculate the remainder when 169 is divided by d.
1
Let u be 2 + 48/(-22) + 1825/55. Suppose o - u = -11. Calculate the remainder when 86 is divided by o.
20
Suppose -3*q - 26 = -m - 215, -4*m = -5*q + 329. Suppose -h + 5*k = 0, 0 = -h + 2*h + 3*k - 32. What is the remainder when q is divided by h?
1
Suppose x + 1729 = 8*x. Let d = -230 + x. Calculate the remainder when 199 is divided by d.
12
Calculate the remainder when 5469 is divided by (137/8 + (-176)/1408)*(0 - -1).
12
Calculate the remainder when 260 is divided by 13312/392 + (-14)/(-343).
22
Let b(q) = q - 26. Calculate the remainder when 488 is divided by b(38).
8
Let r = 5912 + -5867. Calculate the remainder when r is divided by 33.
12
Suppose -3*k - 5*n + 200 + 93 = 0, 3*n + 285 = 3*k. Calculate the remainder when 1006 is divided by 2/((-16)/(-4))*k.
46
Let u(m) = -3*m**2 - 24*m - 15. Let c be u(-9). Let j be 2 + (c/28 - 59/(-2)). Suppose 3*i = i + j. What is the remainder when 37 is divided by i?
7
Let l(j) = j**2 + 1. Let v be l(1). Suppose -110 = -d + v*t + 10, -d = 4*t - 144. Suppose -3*f = 32 - d. What is the remainder when f is divided by 9?
5
Let b(m) = m**2 + 156*m + 3286. Let g(z) = -66*z - 1. Calculate the remainder when g(-2) is divided by b(-25).
10
Let j = 8744 + -8728. What is the remainder when 653 is divided by j?
13
What is the remainder when 231 is divided by (-32816)/(-176) + (-36)/(-66)?
44
Let i(h) = -h**3 + 10*h - 1. Let u be i(3). Suppose 37 = 2*n + 5*r, u*r - r - 62 = -3*n. Let q = -87 + 188. Calculate the remainder when q is divided by n.
17
Suppose 4*k = -2*j + 104 + 4, 0 = -3*k - 3*j + 75. Suppose -4*i + 4*z + 148 = -56, 0 = 4*i - 2*z - 246. Calculate the remainder when i is divided by k.
14
Let a = -112 + 240. Calculate the remainder when a is divided by 60.
8
Let c = 22102 + -20481. Calculate the remainder when c is divided by 19.
6
Suppose 2*s - 3*h - 16119 = 0, 0 = -s + 529*h - 531*h + 8035. What is the remainder when s is divided by 44?
41
Let g(h) = h**2 + 8*h - 14. Let x be g(-11). Suppose -x = -5*n - 4*w + 22, -3*n = 3*w - 27. What is the remainder when n is divided by 1?
0
Let i(b) = -75*b + 3. Let d be i(-4). Suppose 10*c = d - 103. Suppose 10*f = 5*f + 280. What is the remainder when f is divided by c?
16
Let o = -67092 - -67115. Let s(f) = -f**2 + 7*f + 6. Let j(n) = n**3 - 7*n**2 + 8*n - 5. Let r be j(6). What is the r