divided by 67.
64
Suppose -v - 7 = -24. Suppose 23*d - 4160 = 12*d - 53*d. Calculate the remainder when d is divided by v.
14
Let f be 4/20 + (-4)/(-5). Suppose -2*l + 3 = x + f, l + 2 = x. Suppose l = -10*u + 11 + 19. What is the remainder when u is divided by 1?
0
Suppose 2*b - 2*h + 80 = 6*b, -b - 5*h + 29 = 0. Suppose 0 = -q + 63 - b. What is the remainder when 967 is divided by q?
43
Suppose -k + 486 = 4*l, 0 = -2*l + 41*k - 43*k + 240. Calculate the remainder when 125 is divided by l.
3
Suppose -79*q + 2125 + 1193 = 0. What is the remainder when 5626 is divided by q?
40
Suppose 5*g - 4*g = -160. Let d = -134 - g. Calculate the remainder when d is divided by 3.
2
Suppose 2*b - 751 = 839. Let v = b - 789. Calculate the remainder when 64 is divided by v.
4
Suppose 2*n - 3*t = 83, -164 = -2*n - 2*n + 4*t. Let a be (-1)/3 - 17952/(-153). Suppose 9*h = a + 72. Calculate the remainder when n is divided by h.
19
Let b = 337 + -332. Suppose 0 = 4*n - 5*y - 161, b*n - 198 = 8*y - 5*y. Calculate the remainder when 77 is divided by n.
38
Suppose -5 = f - 12*r + 14*r, 0 = 4*r + 16. Calculate the remainder when 58 is divided by f.
1
Suppose -66*f + 62*f + 64768 = 19672. Calculate the remainder when f is divided by 9.
6
Suppose q - 4*q + 150 = 0. Let x = -633 + 634. Calculate the remainder when q is divided by 30 + (5 - (9 - x)).
23
Let d = 17 + -7. Suppose -4628 = 1855*x - 1934*x + 2008. What is the remainder when x is divided by d?
4
Let f = 20 - -32. Let y = 25 + f. Suppose 10 = 3*n - y. What is the remainder when n is divided by 8?
5
Let l = -2 + 2. Suppose l = -z - 5, -5*z = h - z - 10. Suppose 10254*q - 147 = 10233*q. Calculate the remainder when h is divided by q.
2
Suppose -5*k = 3*r - 117, 0 = -5*k + 6 - 6. Calculate the remainder when 97 is divided by r.
19
Suppose -140*d = -154*d + 112. Suppose -5*q = 4*n - 296, n + 3*q + 39 = 120. What is the remainder when n is divided by d?
5
Suppose p - 1 = 0, -10*c = -6*c - 2*p - 714. Suppose -2*t - 5*z = -336, -504 = -t - 2*t + 3*z. Let q = t - 107. Calculate the remainder when c is divided by q.
57
Let v(q) = 2*q**2 - q - 2. Let h be v(2). Suppose n + 2*n = h*n. Suppose -j + b + 12 = n, b - 36 = -4*j - j. What is the remainder when 38 is divided by j?
6
Let l be ((-14)/(-7) - (1 - -1))/2. Suppose l = -4*f - 33 + 101. Calculate the remainder when 25 is divided by f.
8
Suppose 12*l = -786 - 558. Let t = 135 + -128. Calculate the remainder when (-3)/15 + l/(-10) is divided by t.
4
Let z(l) = -3*l**2 - 16*l - 50. Let f be z(-6). Let h = f + 139. Suppose 3*w - 26 - 13 = 0. Calculate the remainder when h is divided by w.
12
Let d(x) = 33*x - 80. Let k be d(-4). Suppose 3*i - 75 = -3*f, -64 - 97 = -5*i + 4*f. What is the remainder when 1 - 1 - (1 + k/4) is divided by i?
23
Suppose -a - 27872 = -23*a - 30*a. What is the remainder when 1075 is divided by a?
3
Suppose 5*b = 5*j - 690, 5*j - 6 = 3*j. What is the remainder when 564/5 - 27/b is divided by 23?
21
Suppose 5*z + 42 = -43. Let x = 37 + z. Calculate the remainder when 3/(15/290*1) is divided by x.
18
Suppose -3*g - 36 = -5*c + 938, 0 = 5*g + 15. Let v(r) = r**2 + 20*r + 87. Calculate the remainder when c is divided by v(-16).
9
Let p be 14 - (0/1 - 1). Let y = 14 - p. Let r(t) = -31*t**3 + t**2 - 1. Calculate the remainder when 122 is divided by r(y).
29
Let h(v) = -67*v + 487. What is the remainder when h(-2) is divided by 13?
10
Suppose -3602 = 4*s + 3*z - 3794, 4*z = -4*s + 200. What is the remainder when 14904 is divided by s?
36
Suppose -41*a = -109*a + 5372. Calculate the remainder when a is divided by 23.
10
Calculate the remainder when 113 is divided by 6*(-35)/(-2)*6/42.
8
Let b be ((3/3)/(-4))/((-5)/80). Suppose -f - 10 - 3 = b*l, 4*f - 13 = -3*l. What is the remainder when 14 is divided by f?
0
Suppose 0 = -18*t + 407 + 241. Let r(j) = j**3 - 35*j**2 - 32*j - 90. Calculate the remainder when 215 is divided by r(t).
53
Suppose 0 = 374*n - 510*n + 138856. What is the remainder when n is divided by 7?
6
Let s(f) = f**3 - 19*f**2 - 66*f + 5. Calculate the remainder when 2638 is divided by s(-3).
3
Let w = -1360 - -1392. What is the remainder when w is divided by (-14)/21*27/(-2)?
5
Suppose -66*t - 141*t - 10*t = -2604. What is the remainder when 303 is divided by t?
3
Let q = -32 + -24. Let k = q - -58. Let o(v) = 3*v**3 - 2*v**2 + 4. What is the remainder when 30 is divided by o(k)?
10
Suppose -924*n = -934*n + 210. Calculate the remainder when 523 is divided by n.
19
Let b = 8131 + 8474. Calculate the remainder when b is divided by 24.
21
Let x(d) = 74*d + 4041. Calculate the remainder when x(-48) is divided by 157.
18
Let z be 418/(-55) + ((-12)/15)/2. Let h(u) = u**2 + 9*u + 51. What is the remainder when h(z) is divided by 17?
9
Let k(n) = -7*n + 170. Let r(q) = 12*q - 169. Let o(m) = -3*k(m) - 4*r(m). What is the remainder when o(-3) is divided by 63?
58
Let d(u) = -19*u + 340. Let a = 7 + 12. Calculate the remainder when d(14) is divided by a.
17
Let v(b) = -501*b + 521. Calculate the remainder when 219 is divided by v(1).
19
Let m = 327 + -323. Suppose m*l - 2*l - 8 = -o, o = 5*l - 6. Calculate the remainder when 69 is divided by o.
1
Suppose -z + 21 = 5*a, -5*z + 9*z - 9 = 5*a. Calculate the remainder when 2/((-16)/(-468))*8/12 is divided by z.
3
Suppose t - 3*t = -118. What is the remainder when t is divided by (-1809)/(-402) - (-11)/2?
9
Suppose -2*b = -8, 3*c = -4*b + 18 + 25. Suppose 0 = v - c*v + 832. Calculate the remainder when v is divided by 34.
2
Suppose -5*c + 5*b = -1885, 53*c - 48*c - 4*b = 1884. Calculate the remainder when c is divided by 29.
28
Let a(t) = 2*t**2 - 2*t - 4. Let n be a(3). Suppose v = -v + n. Suppose 3*m - 4*i - 75 = -i, m - v*i = 40. Calculate the remainder when 79 is divided by m.
19
Let i = -139 + 195. Let p = i - 56. Suppose -2*h = -4*h + 3*l + 104, -4*h + l + 228 = p. Calculate the remainder when h is divided by 21.
16
Let l(r) = r**2 + 4*r - 9. What is the remainder when 1154 is divided by l(7)?
66
Let r(w) = -43*w - 23. Let v(d) = -14*d - 8. Let l(x) = 3*r(x) - 8*v(x). What is the remainder when l(-3) is divided by 1*(4 - -1) - -5?
6
Suppose 4*u = 5*m + 87, 5*u = 3*u + 2*m + 44. Calculate the remainder when 2/10 - 2740/(-50) is divided by u.
9
Suppose 2150 = 9*m - 2404. Let s = -409 + m. What is the remainder when s is divided by 26?
19
Let g = 203 - -334. Suppose -5*s + 214 = 4*m - 2, -200 = -4*m - s. What is the remainder when g is divided by m?
47
Let s be 5*(31 - (-6 - -9)). Suppose -90 = -5*o + s. Let r = 52 + -28. Calculate the remainder when o is divided by r.
22
Let y(z) = z**2 - 37*z + 49. Let b(t) = -36*t + 51. Let s(m) = -3*b(m) + 2*y(m). What is the remainder when 165 is divided by s(-19)?
18
Let f be -52*14/(-56) - (1 - 0). Let k(l) = 15*l - 137. Let d(g) = 6*g**2 - 2*g - 3. Calculate the remainder when d(4) is divided by k(f).
42
Suppose 7*i - 40*i = -8*i - 700. Calculate the remainder when 10/3*246/5 is divided by i.
24
Let y(x) = 6*x - 3. Let g = 10853 + -10840. What is the remainder when y(10) is divided by g?
5
Suppose 38*n + 50*n = 37*n + 30090. What is the remainder when 1210 is divided by n?
30
Suppose -h + 5*m - 2*m - 73 = 0, -3*h + 4*m - 239 = 0. Let u = 129 + h. Calculate the remainder when u is divided by 17.
10
Let y(k) = k + k**2 - 5*k - 4 + 3*k + 5. Let m(a) = 4*a**2 - 3*a + 15. Let p(o) = -m(o) + 5*y(o). Calculate the remainder when p(6) is divided by 8.
6
Let q(x) = 261*x**3 + 2*x - 4. Calculate the remainder when q(1) is divided by 72.
43
Let c(t) = t**2 - 7*t - 160. Calculate the remainder when c(-13) is divided by 73.
27
Suppose 3*z + 3*i = 186 - 3, 3 = -i. What is the remainder when z is divided by 9 + 8/((-4)/(-2))?
12
Suppose 0 = 2*f + 4*i + 188, i + 94 = -2*f - 109. Let h = 130 + f. What is the remainder when h is divided by 124/9 - (-8)/36?
12
Suppose -9*h = -45*h + 144. Calculate the remainder when 62 is divided by (5/(-20)*-4 - h) + 5.
0
Suppose 43*b - 4*p = 39*b + 780, -p + 735 = 4*b. Let f(y) = 17*y**2 + y + 1. Calculate the remainder when b is divided by f(-1).
16
Let c = -1611 - -1646. Calculate the remainder when 1114 is divided by c.
29
Suppose 0 = 5*z + 6*c - 3*c + 7, -3 = -3*c. Suppose 3*y + 3*y = -18. What is the remainder when 4 is divided by z/