5.
81
Suppose -2*k + 3484 = z, 5*z + 3*k - 11290 = 6151. Calculate the remainder when z is divided by 12.
10
Let a(q) = 26 + 19*q + 27 + 16. What is the remainder when a(12) is divided by 30?
27
Suppose -10 = 9*j - 217. Let n be (0 - -1)/(4/52). Suppose 4*z = -3*m + 106, z + m - 39 = -n. What is the remainder when z is divided by j?
5
Let c = 2121 - 2067. What is the remainder when 319 is divided by c?
49
Let z(c) = -320*c + 982. What is the remainder when 1140 is divided by z(3)?
18
Let s be (-20)/28 + 1 + 600/7. Let q = 47 + s. What is the remainder when q is divided by 41?
10
Suppose 3*k - 4 - 110 = 0. What is the remainder when 612 - (220/40 + (-2)/8*2) is divided by k?
37
Suppose i - 127 = -4*a, -6*a = -5*i - 5*a + 488. What is the remainder when 23262 is divided by i?
96
Let u = 3295 - 3048. What is the remainder when u is divided by 2?
1
Suppose -i - 5 = -k - 4*k, 3*k + 5*i + 25 = 0. Suppose 0 = 5*c + g - 28, 2*c - 18 = -k*g + 3*g. What is the remainder when 4 is divided by (8/(-12))/((-2)/c)?
0
Suppose 0 = 6*h - 2 - 52. Suppose 7*g - h*g = -114. Let r = 16 + 15. Calculate the remainder when g is divided by r.
26
Let j(c) = c**3 + 15*c**2 + 27*c - 3. Let r be j(-13). Let a be 36/(-24)*r/3. Suppose a*b - 10*b + 158 = 0. What is the remainder when b is divided by 14?
9
Suppose 0 = -7207*b + 7215*b - 248. What is the remainder when 121 is divided by b?
28
Suppose 0 = -31*o + 1 + 61. Suppose -2*a = 2*f - 26, o*a - 6*a + f + 77 = 0. What is the remainder when 102 is divided by a?
12
Let y be (55/(-20))/(3/(-12)). Let f be (-1 + y)/2*(-5 + 6). Suppose -f*n - 14 = -5*d - 109, -5*n - 2*d = -116. Calculate the remainder when n is divided by 6.
4
Suppose 200*r - 226*r = -21736. Calculate the remainder when r is divided by 17.
3
Let l be (10/(-4))/(21/(-2310)). Let d = l - 189. Calculate the remainder when d is divided by 25.
11
Suppose 60*n - 24 = 26*n + 1846. Suppose 0 = p + 3*p - 12. Suppose 2*r + p*r = 150. Calculate the remainder when n is divided by r.
25
Let o(j) = j - 5. Let s be o(7). Suppose -128 = -2*b - s*f, -f = 5*b - 370 + 54. Calculate the remainder when b is divided by 288/6*30/45.
31
Let m be 2 - (4/(-34) - (-32)/(-17)). Let p(b) = 9*b**2 + 7*b - 3. What is the remainder when p(m) is divided by 45?
34
Let y(j) = j**3 + 4*j**2 - 154*j - 35. What is the remainder when 4726 is divided by y(11)?
82
Let t(s) = 8*s**2 - 2*s + 1. Calculate the remainder when (2/(24/(-27)))/(3/(-12)) is divided by t(1).
2
Let k = -4608 + 4654. Calculate the remainder when k is divided by 8.
6
Suppose 5*h = -4*b + 657, -811 = -5*b + h + 3*h. Suppose -233 = -5*a - 93*t + 97*t, 6*a + 3*t - 225 = 0. Calculate the remainder when b is divided by a.
40
Let r(t) = 3 - 4*t + 3 - 7*t - 2. Suppose -2*v + 6 = 2*o - 2, 3*o = -5*v + 22. Calculate the remainder when 59 is divided by r(o).
14
Let z be (-9)/3*73*3/(-9). Let o = 79 - z. What is the remainder when 34 is divided by o?
4
Let a(z) = 32*z**2 - 15*z**2 - 19*z**2 + 2*z + 212. Calculate the remainder when a(0) is divided by 71.
70
Let n(b) = 851*b**2 - 16*b + 3. Let c be n(1). Let m = -759 + c. Calculate the remainder when m is divided by 5.
4
Calculate the remainder when (6/(-10))/(-2 - 98/(-70)) - -2656 is divided by 24.
17
Suppose -110*m + 108*m = -6582. Calculate the remainder when m is divided by 127.
116
Let d(g) = -18*g**3 - g**2 + 38*g + 36. Calculate the remainder when d(-5) is divided by 63.
55
Let d(z) = 107*z**3 + 3*z**2 - 5*z + 9. What is the remainder when d(2) is divided by 187?
119
Let s(b) = b - 13. Suppose -v - 5*g - 58 = -3*v, -g = -4*v + 98. Calculate the remainder when s(v) is divided by 8.
3
Suppose -n - 2 = 4*k, 0 = -2*n - 0*n - 2*k + 26. What is the remainder when 1401 is divided by n?
15
Let y(n) = -994*n - 600. Calculate the remainder when y(-1) is divided by 33.
31
Suppose -2*v - 58 = -4*v - 2*a, a = 3*v - 71. Let s(t) = -25*t + 569. Calculate the remainder when s(19) is divided by v.
19
Let o be (6/(-12))/(1/(-254)). Let u = o - 31. Calculate the remainder when u is divided by 20.
16
Let n(z) = -z + 195. Let f be n(0). Suppose 13*k - f = -5*y + 10*k, y - 22 = -4*k. Calculate the remainder when y is divided by 3.
0
Let n(a) = -3*a - 9 + 3*a + 3*a - 7. Let s be n(5). Calculate the remainder when (-3 - -2)/s - 46/(-1) is divided by 16.
15
Suppose 3*c = 3*u - 8*u + 34, 5*c + 4*u = 35. Calculate the remainder when (3750/525)/(1 + (-6)/7) is divided by 0 - (1 - 42/c).
11
Let b(i) = -i**3 + 20*i**2 - 76*i + 20. Suppose 0 = -3*c - 3*c + 90. Calculate the remainder when 16 is divided by b(c).
1
Let v(h) = -32*h + 1330. Calculate the remainder when v(39) is divided by 67.
15
Let x = -223 - -412. Let v = -122 + x. What is the remainder when v is divided by 24?
19
Calculate the remainder when 5/(75/(-42))*(-25)/(-5)*-3 is divided by 24/10*(-100)/(-15).
10
Let b = -657 - -657. Suppose -4*o - 3*p + 451 = b, 87 + 230 = 3*o - 2*p. What is the remainder when o is divided by 29?
22
Let p(h) = h**3 + 4*h**2 - 2*h - 13. Let j be p(-3). Suppose 6*v + 21 = y + j*v, 31 = y + v. What is the remainder when y is divided by 10?
9
Suppose 880*z = 864*z + 96. What is the remainder when 1112 is divided by z?
2
Suppose 0 = 5*x - 5*o + o - 296, 2*o + 232 = 4*x. Let w = 31 + x. Calculate the remainder when 184 is divided by w.
10
Let m = 802 + -1169. Let t = 546 + m. Calculate the remainder when t is divided by 33.
14
Let p = -90 - -94. Suppose 4*b + 47 = w + 2*w, p*b + 64 = 4*w. Calculate the remainder when 80 is divided by w.
12
Suppose -z + 3*o = -93, 40*z = 43*z + 5*o - 335. Calculate the remainder when z is divided by 67.
38
Suppose -2*f = -14, 31*f = 2*m + 34*f - 131. What is the remainder when 2834 is divided by m?
29
Let m be 37*-1*(-3)/3. Suppose 5*k - 28 = m. Suppose 0 = -3160*i + 3159*i + 4*v + 65, 4*v = -5*i + 301. What is the remainder when i is divided by k?
9
Let l be 12 - 30/5 - 6. What is the remainder when 236 is divided by (0 - l) + -2 + (6 - -3)?
5
Suppose 2*p - 976 = -2*h, 2*p + 292 + 1177 = 3*h. Calculate the remainder when h is divided by 41.
38
Suppose 0 = 14*k - 31 - 109. What is the remainder when 1578 is divided by k?
8
Suppose 450 = 6*p + 36. Calculate the remainder when 373 is divided by p.
28
Let i(p) be the first derivative of -3*p**2/2 + 5*p + 36. What is the remainder when 4/3 - 172/(-6) is divided by i(-2)?
8
Suppose -15*u = -2*z - 18*u + 717, 3*u = 2*z - 699. Calculate the remainder when z is divided by 125.
104
Suppose 0 = 3*f + 9, f - 5*f + 222 = -3*y. Let k = 80 + y. Calculate the remainder when 7 is divided by 7/2 + k/4.
3
Suppose h + 12 = 4*f, 0 = -2*f + 5*h - 1 - 11. Suppose s - q - 67 = 0, f*q - 121 - 115 = -4*s. Calculate the remainder when 123 is divided by s.
60
Let s be 20/(-16) + ((-6)/(-8))/3. Let r be (-18)/(-27)*(s - 2) - -3. What is the remainder when 42 is divided by (-14)/(-3) + r/3?
2
Let a(s) = 6*s + 2. Let m be a(-3). Let q be -2 + m/(-4) + 0. Suppose -3*x + 36 = -x - 4*d, 0 = q*x - d - 48. What is the remainder when x is divided by 9?
8
Suppose -l + 9 = 10. Let k be (21/(-28))/(l/4). Calculate the remainder when 75 is divided by (38/12)/(k/18).
18
Let j = -68 - -97. Let z(l) = -8*l**2 + j + l - 17 + 2*l**3 + 0*l. Calculate the remainder when z(5) is divided by 14.
11
Let a(i) = -i**3 + 9*i**2 + i + 35. Suppose 0 = -2*k + 10 + 6. What is the remainder when a(k) is divided by 11?
8
Suppose -4*a + 148 = 5*h - 46, -16 = 4*a. Let v = -129 + 294. What is the remainder when v is divided by h?
39
Let s(o) = -o + 5. Let b be s(5). Suppose b*l - 4*l + 76 = 0. Let j(t) = -36*t**3 - 250*t**2 + 9*t. Calculate the remainder when j(-7) is divided by l.
16
Suppose 318*z = 319*z - 16. Let g(m) = -26*m - 18. Let t be g(-10). What is the remainder when (-15)/(-20) - (t/(-8) - 2) is divided by z?
1
Suppose -c + 69 = -49. Let w be (-10)/(-35) - (-10)/(-35). Let m = w + 30. Calculate the remainder when c is divided by m.
28
Let w(i) = 6*i**2 - 80*i - 10. Let c(d) = -d**2 + 16*d + 3. Let k(o) = 14*c(o) + 3*w(o). What is the remainder when (-1)/3 - 494/(-6) is divided by k(4)?
10
Let o(d) = 3*d**2 - 5*d + 6. Suppose 2625 = 31*u - 7202. Let i = -287 + u. What is the remainder when o(5) is divided by i?
26
What is the remainder when 2/(-3) - 710/(5 - (-182)/(-34)) is divided by 38?
3