pose -s + 3*s = x. What is the remainder when s is divided by 4?
1
Suppose 0 = c + 3, 0 = -4*r + 5*c - 5 + 60. Let k = -3 - -6. What is the remainder when r is divided by k?
1
Let a(y) = -y + 19. Suppose 0 = -2*x - 0*x. Suppose 49*p + 71*p - 87*p - 1155 = 0. Calculate the remainder when p is divided by a(x).
16
Let n(v) = -5*v**3 - 7*v**2 + 18*v + 4. Let b(w) = -2*w**3 - 4*w**2 + 9*w + 2. Let j(q) = 7*b(q) - 3*n(q). What is the remainder when 58 is divided by j(6)?
18
Suppose y - 73 = 16. Suppose 3*i - 5*v - 133 = 0, 5*i = -2*v - 3*v + 235. Calculate the remainder when y is divided by i.
43
Let k be (-1 - 4/(-3))/((-3)/9). What is the remainder when 18 is divided by (k/2 + 0)/(24/(-336))?
4
Suppose 0 = -3*g + r + 3*r + 25, -2*r + 48 = 4*g. Suppose -z + 4*n + 71 = -0*n, -2*n = 5*z - 377. Calculate the remainder when z is divided by g.
9
What is the remainder when (1/7)/((-5)/(-35)) + 90 is divided by 34?
23
Let t(q) = q**3 - 22*q**2 + 45*q - 2. Let u = 9 + 11. What is the remainder when t(20) is divided by u?
18
Let w = 8 - 10. Calculate the remainder when 89 is divided by w/2 + 96/6.
14
Let r(z) = z**3 - 22*z**2 + 22*z + 144. Calculate the remainder when r(21) is divided by 42.
39
Suppose -5*m + 4*p + 4 = -2, -5 = -5*p. Suppose -w = 0, 4*f = m*f + 3*w + 44. Calculate the remainder when 2/(-12)*(-18 + 12) + 42 is divided by f.
21
Suppose -3*w + 3*l + 22 = 7*l, 21 = 4*w - 3*l. Let d = -11 + 15. Suppose -d*i = m + 2, -2*i - 2*i - 52 = -4*m. Calculate the remainder when m is divided by w.
4
What is the remainder when (-81)/6*(-3 + -7) - 1 is divided by 45?
44
Let s = 99 - 82. Suppose -144 = -2*j + k, 0 = -k + 2*k - 4. Suppose -4*w + 111 = 4*o - 125, w - 2*o - j = 0. What is the remainder when w is divided by s?
13
Suppose 6*x = 36 + 12. What is the remainder when 8 is divided by x/(-32) - 26/(-8)?
2
Let r = 11 - 7. Suppose -64 = -r*q + 12. Suppose 12 = -5*h + 67. What is the remainder when q is divided by h?
8
Let v(n) = -n**2 + 19*n - 18. What is the remainder when 1086 is divided by v(17)?
14
Suppose 0 = 3*d - 12, q + 2*d - 23 = -d. Let s = q - 11. Suppose s = 11*p - 9*p - 190. Calculate the remainder when p is divided by 32.
31
Let g = 171 + -166. Let k = 31 + 13. Suppose -5*z + 35 = 5*p - 55, 0 = 2*z + 4*p - k. What is the remainder when z is divided by g?
4
Let h(k) = k**3 - 3*k**2 - k - 4. Let w be h(3). Let p = -7 - w. Suppose 2*c + p = 20. What is the remainder when c is divided by 4?
2
Let u(n) = -16*n + 5. Let y(r) = -r + 1. Let d(o) = -u(o) + 4*y(o). Let l be d(10). Calculate the remainder when (1 - 3)*l/(-14) is divided by 9.
8
Let g(c) = -9*c - 21. Let w be g(-8). Suppose -4*q + w = n, -3*n = -3*q + 10 + 32. What is the remainder when q is divided by 8?
5
Let s be (4/5)/((-1)/(-90)). Let l = -14 - -41. What is the remainder when 47 is divided by s/l*18/4?
11
Suppose 178 = 3*p - s, 4*p = -4*s + 275 - 11. What is the remainder when p is divided by 7?
5
Suppose 0 = -125*x + 128*x + 5*r - 42, 3*r = -2*x + 29. Calculate the remainder when 48 is divided by x.
10
Suppose 0 = 2*l - 3*i - 167, -30*i = -l - 27*i + 91. Calculate the remainder when 149 is divided by l.
73
Let o(c) = 11*c - 519. Let f be (2/(-4))/1*-2. What is the remainder when o(50) is divided by 12/(3/2*f)?
7
Suppose -29 = -5*k - 4. Suppose b = 5*l - 249, k*l - 3*b - 261 = b. What is the remainder when l is divided by 10?
9
Suppose 14 = -4*k - 2. Calculate the remainder when ((-20)/(-15))/((-3)/(-99)) is divided by 12/2 - -2 - k.
8
Suppose 0 = -4*h + 5*d + 46, -5*d - 68 = -5*h - 4*d. Suppose 2*o + 168 = 3*s, 2*s + o - 95 = 10. Calculate the remainder when s is divided by h.
12
Suppose -11*g + 1085 - 73 = 0. What is the remainder when 367 is divided by g?
91
Let t(p) = 5*p + 26. Let v be t(-6). What is the remainder when 54 is divided by v/(-6) + -1 - 522/(-27)?
16
Suppose -3*t + 4*m + 126 = 0, -2 = t + 5*m - 63. Calculate the remainder when t is divided by 13.
7
Let g(q) = -q**3 - 7*q**2 + 8*q - 2. Let f be g(-8). Calculate the remainder when 14 is divided by (6/(-3 + 0))/(f/8).
6
Suppose v = -4*t - 19, -5*t + 2 = 5*v + 22. Let f = 38 - v. What is the remainder when f is divided by 20?
17
Suppose 2*c + i + 4*i = 8, 5*c - 3*i - 20 = 0. What is the remainder when 1/c + (-118)/(-24)*3 is divided by 8?
7
Suppose 0 = -3*t - b + 6*b, -3*t - b + 18 = 0. Let w(x) = 2*x - 22. Let q be w(14). Suppose -3*m + q*m - 36 = 0. Calculate the remainder when m is divided by t.
2
Suppose 0 = 4*n - 2*n - 14. Suppose 2*d = 5*i - 14 - 11, 2*i - 10 = 3*d. Let b(q) = q**3 - 4*q**2 - q - 1. Calculate the remainder when b(i) is divided by n.
5
Let b = 98 - 52. Suppose -2*v = -2*a + b, 91 = 2*a + 4*v + 15. What is the remainder when 139 is divided by a?
27
Suppose -4*z = -0*z + 4*d - 80, 2*z - 2*d - 60 = 0. Suppose 173 + 17 = 19*w. Calculate the remainder when z is divided by w.
5
Suppose 5*z + 5*t = -3 + 58, 2*t = -6. Let f(s) = 20*s - 46. What is the remainder when f(5) is divided by z?
12
Suppose 0*a - 10 = -a. Let b = 12 - a. Suppose i = 5*o - 2 + 14, -36 = -b*i + 4*o. What is the remainder when 41 is divided by i?
19
Suppose 0 = -3*q + 8 - 5. Calculate the remainder when -4 + (-3)/((-9)/21) is divided by q.
0
What is the remainder when (-5 + 4)*(-206)/(-1 - -2) is divided by 54?
44
Let r = 3 + 4. Suppose 0 = -6*b + 9*b + 15. Let m(h) = -6*h - 12. What is the remainder when m(b) is divided by r?
4
Let a = 149 - 115. Let t = 7 - 4. Suppose -14 = -x - 0*x + n, 0 = -2*x + t*n + 33. Calculate the remainder when a is divided by x.
7
What is the remainder when 741 is divided by 3/((-12)/(-368)) - -1?
90
Suppose b + 60 = 5*c + 78, 0 = 4*b - 4*c - 72. Calculate the remainder when 50 is divided by b.
14
Let h = -130 + 149. What is the remainder when h is divided by 4?
3
Let t(s) be the third derivative of -1/6*s**3 + 7/24*s**4 + 1/60*s**5 - 3*s**2 + 0 + 0*s. Calculate the remainder when t(-9) is divided by 6.
5
Let g = 40 - 19. Suppose 3*c = -k + 4*c + 15, -5*c + g = 3*k. What is the remainder when 44 is divided by k?
8
Let v = -6 - -8. Let i = -71 - -77. Calculate the remainder when (-18)/i*(0 - 3)/3 is divided by v.
1
Suppose -12*z + 164 = -136. What is the remainder when 120 is divided by z?
20
Let y(x) = x**2 + x + 16. Calculate the remainder when y(5) is divided by 12.
10
Let k = -699 - -834. What is the remainder when k is divided by 3?
0
Suppose 8 = 3*f - 1. Suppose -5*q - f*h + 3 = -1, 5*h = -10. Suppose -66 = -q*t - 0. Calculate the remainder when t is divided by 18.
15
Let m be 2 + (-1 + 1)/2. Suppose k + m*k = 3*s + 6, 4*s - 12 = 0. Suppose -g - g - k*w = -20, 3*g - 51 = 3*w. Calculate the remainder when 41 is divided by g.
11
Let n be 1/2 - 194/(-4). Suppose 16 = -z + n. Let v(h) = h - 2. Calculate the remainder when z is divided by v(19).
16
Let x(s) = 33*s + 9. Let z be x(4). Suppose -z*u + 136 = -137*u. What is the remainder when u is divided by 14?
6
Let t = -50 - -79. What is the remainder when 86 is divided by t?
28
Suppose 0 = 2*s - 4*t - 14, 0*t - 2*t = 0. Suppose 5*h - 4*z = 2 - s, -z = -5*h + 10. What is the remainder when 12 is divided by (-12)/(h - (-18)/(-4))?
4
Suppose b - 39 = -2*m, -4*b = 4*m - 84 + 16. Suppose 0 = 3*p + 3*q - 102, -2*p + 3*p - 3*q - m = 0. Calculate the remainder when p is divided by 20.
11
Suppose k + 580 = 5*k - 2*p, 2*k + 5*p = 278. What is the remainder when k is divided by 78?
66
Calculate the remainder when 618/10*30/(-17 - -23) is divided by 12.
9
Let d = 117 + -103. What is the remainder when 49 is divided by d?
7
Let i(k) = 2*k**3 - 13*k**2 - 3*k + 5. What is the remainder when i(9) is divided by 43?
39
Let t = 506 + -452. Calculate the remainder when 101 is divided by t.
47
Let u = 9 - 5. Let x(a) = a**3 - 4*a**2 + 5*a - 10. What is the remainder when x(u) is divided by 4?
2
Let t(d) = -33*d - 15. Calculate the remainder when t(-8) is divided by 50.
49
Suppose 26 = 5*c - 3*c. Suppose -5*w = 5*p - 59 - 61, -2*w = 4*p - 96. What is the remainder when p is divided by c?
11
Let u = 170 + -167. Calculate the remainder when u is divided by 1.
0
Let f be (-12)/(-9)*(43 + -4). Suppose -f = -g - 3*g. Suppose 2*z - g = z. What is the remainder when 36 is divided by z?
10
Suppose 7*w - 25*w + 7344 = 0. What is the remainder when w is divided by 85?
68
Suppose 2