 is divided by 19?
9
Let c(b) = -b**2 + 12*b + 25. What is the remainder when 262 is divided by c(13)?
10
Suppose -7*n - 30 = -114. Calculate the remainder when n is divided by -2 + 0 - (-11 - -4).
2
Let u(t) = t**3 + 3*t**2 + t + 1. Let j(f) = -f + 1. Let p be j(3). What is the remainder when (336/77 + -4)/(4/44) is divided by u(p)?
1
Suppose 2*p + 0*p + 70 = -4*z, -p - 4*z = 45. Let a = 76 + -20. Let r = p + a. Calculate the remainder when r is divided by 8.
7
Suppose 4*t = a - 0*a - 21, a = 2*t + 25. Suppose 4*n + m = 45, -59*m + 55*m - 7 = -n. What is the remainder when a is divided by n?
7
Let p be (-6 - -4)/(-2 + 1). Suppose -30 = -o - p. Suppose -8*d + 680 = 256. What is the remainder when d is divided by o?
25
Let l = 180 + -76. Suppose 15*w = 11*w + l. What is the remainder when w is divided by 7?
5
Let j = 1264 + -1182. What is the remainder when 406 is divided by j?
78
Let z = 78 + -44. Calculate the remainder when 65 is divided by (z/(-4)*1)/((-1)/2).
14
Suppose 4*j + 211 = -3*h + 371, -5*h + 199 = -3*j. Suppose 0 = a + 3*a - 68. What is the remainder when h is divided by a?
10
Suppose 0 = -4*u + 274 + 106. Calculate the remainder when u is divided by 3/(24/194) - (-3)/(-12).
23
Suppose -20967*x - 408 + 37 = -21020*x. Let y be 0 + 0 + 1 + 0. Let f(a) = 3*a**2 + 1. What is the remainder when x is divided by f(y)?
3
Let z = 257 - 127. Suppose 0 = 5*p - 5*u - z, -2*u = -u + 5. Suppose 0 = -n + 12 - 4. Calculate the remainder when p is divided by n.
5
What is the remainder when (-27)/(-45)*220*1 is divided by 94?
38
Let q(t) = t**2 - 7*t - 6. Let a be q(8). Suppose -2*n = a*z, 3*n - 5*z = 36 - 12. Let w(v) = 4*v - 8. Calculate the remainder when 7 is divided by w(n).
3
Let b(o) = 7*o**2 - 2*o + 1. Suppose -5*z + 5 + 5 = 0. Let a be b(z). Suppose -u = 3*q - a, 4*q = u + 2*u - 49. Calculate the remainder when u is divided by 10.
9
Let k(s) = 12*s + 11. Let j(q) = -q - 1. Let b(g) = 18*j(g) + 2*k(g). What is the remainder when b(6) is divided by 14?
12
Let j(g) = -5*g + 21. Let l(i) = -11*i + 43. Let k(v) = -5*j(v) + 2*l(v). Calculate the remainder when 12 is divided by k(8).
2
Let k(h) = 56*h**3 - h**2. Suppose 5*o - 6 = 4. What is the remainder when k(1) is divided by (-76)/o*(-9)/18?
17
Let s(t) = 12*t - 14. Let c be s(4). Let o = -35 + c. Let x = o - -14. What is the remainder when 48 is divided by x?
9
Let f = -241 - -358. Suppose 13*g - 4*g - f = 0. What is the remainder when g is divided by ((-3)/6)/((-2)/24)?
1
Suppose 3*f - 18*f + 795 = 0. Calculate the remainder when 529 is divided by f.
52
Suppose 3*w - l - 131 = 0, 2*l = -3*w + 2*w + 46. Calculate the remainder when ((-16)/3)/(-2)*5289/164 is divided by w.
42
Suppose 16*c - 973 = 1107. Calculate the remainder when c is divided by 29.
14
Let d(a) = -165*a**2 - 1. Let f be d(-1). Suppose 310 = 5*b - 3*p, 62 = b + 2*p - 7*p. What is the remainder when b is divided by 1/4 + f/(-8)?
20
What is the remainder when (-38 - 235)*1/3*-1 is divided by 31?
29
Let v = 20 + -23. Let h be ((-9)/v)/((-3)/9). What is the remainder when 10 is divided by (-12)/3 + (-2 - h)?
1
Let x = 39 - 21. Let r(h) = -8*h - 6. Let s = -10 + 5. Calculate the remainder when r(s) is divided by x.
16
What is the remainder when 128 is divided by (17/2)/((-20)/(-40))?
9
Suppose -2*i + 152 = m - 3*i, -2*m = 2*i - 312. What is the remainder when m is divided by 26?
24
Let b(l) = 12*l**2 + 17*l - 16. Let o(y) = 3*y**2 + 4*y - 4. Let t(j) = -2*b(j) + 9*o(j). Let k = 318 + -270. What is the remainder when k is divided by t(-3)?
14
Let q(n) = -2*n - 20 + 26*n**2 + 13 + 6. Calculate the remainder when q(-1) is divided by 15.
12
What is the remainder when 403 is divided by 40 + (-3)/18 + (-30)/36?
13
Let u(r) = -2*r - 11. Let p be u(-7). Suppose 0*l + 4*g - 265 = -p*l, -g = -4. What is the remainder when l is divided by 21?
20
Suppose 4*h + 74 = -66. Let y = h - -80. What is the remainder when y is divided by 25?
20
Let d(c) = 4*c**3 - 16*c**2 - 15*c + 4. What is the remainder when 79 is divided by d(5)?
21
Let z(p) = -2*p + 4. Suppose -5 = -2*q + 3. Let w be z(q). What is the remainder when ((-143)/(-52))/((-1)/w) is divided by 3?
2
Let b(q) = q + 5*q + 9*q - 4 + q. What is the remainder when b(2) is divided by 8?
4
Let y(i) = 87*i - 48. What is the remainder when y(2) is divided by 15?
6
What is the remainder when (2 + 101)*(71 + -70) is divided by 12?
7
Let x(t) = 21*t**2 + 2*t - 1. Let m be 1 - -4*(-2)/1. Let h = 8 + m. What is the remainder when 41 is divided by x(h)?
19
Let b = -13985 + 19939. What is the remainder when (b/91)/(2/7) is divided by 33?
31
Suppose -j - 8 = j. Calculate the remainder when 53 is divided by (j/(-6))/((-12)/(-342)).
15
Suppose 0 = -6*f + 9*f - 12, 0 = -4*r + 2*f - 236. Calculate the remainder when 150 is divided by r/6*(-2 + -2).
36
Suppose -q = 5*r - 209, -2*r + 2*q + 62 = -24. Let p(k) = -k**3 + 3*k**2 + 2*k + 1. Calculate the remainder when r is divided by p(2).
6
Suppose 202 + 70 = 16*p. What is the remainder when 128 is divided by p?
9
Let s = 444 - 395. Calculate the remainder when s is divided by 18.
13
Let i(j) = 2*j**3 - 56*j**2 + 56*j - 7. What is the remainder when 233 is divided by i(27)?
45
Let h(w) = -76*w. Suppose -p + 4*p = 60. Calculate the remainder when h(-1) is divided by p.
16
Suppose -17*y + 6*y + 121 = 0. Calculate the remainder when 54 is divided by y.
10
Suppose 81*j = 77*j + 8. Suppose -120 = -j*p - 34. Calculate the remainder when p is divided by 15.
13
Let m be ((-2)/(-4))/((-2)/(-240)). Let k be (-6)/(-4)*(-1440)/(-54). Let t = m - k. Calculate the remainder when 77 is divided by t.
17
Let t(o) = -o**2 - 20*o - 30. Let x be t(-18). Suppose x*c = c + 95. What is the remainder when 91 is divided by c?
15
Suppose -2*q - v = -3, 4*v + 3 = -3*q + 5*v. Suppose -4*k + 45 + 27 = q. Calculate the remainder when 50 is divided by k.
14
Let m(u) = -30*u + 275. Suppose -12 = -3*f, 6*f - f - 115 = -5*n. What is the remainder when m(8) is divided by n?
16
Let t = -1 + -32. Suppose -2*y - 2*y = -420. Calculate the remainder when y is divided by (18*1)/((-22)/t).
24
Let s be (-10)/45 - (-38)/9. Let c(q) = -q**3 + 9*q**2 - 8*q + 9. What is the remainder when c(4) is divided by ((-10)/s)/((-1)/8)?
17
Let b(j) = -j**3 + 12*j**2 + 52*j - 10. Calculate the remainder when 1518 is divided by b(15).
93
Let g = 3057 - 2991. What is the remainder when g is divided by 326/9 + (-4)/18?
30
Suppose -8 = -39*z + 38*z. What is the remainder when 37 is divided by z?
5
Let n(g) = 3*g**2 + 2*g + 7. What is the remainder when n(5) is divided by 8122/434 - 2/(-7)?
16
Suppose 0 = 3*z - c - 0 - 5, z = -2*c + 4. Suppose 4*v - 12 = z*v. Suppose 3*a + 5*b + 20 = 8*a, 5*b = -4*a + 7. What is the remainder when v is divided by a?
0
Let c = -810 - -1198. What is the remainder when c is divided by 23?
20
What is the remainder when (-11)/2*(-7 + (-6 - 19)) is divided by 36?
32
Let b be 2/4*4 - (-1 - 2). Suppose -15*o + b = -14*o. Calculate the remainder when 17 is divided by o.
2
Let c(u) = u**2 - 8*u + 15. Let t = 48 - -20. Calculate the remainder when t is divided by c(10).
33
What is the remainder when (2104/(-20))/((-6)/15) is divided by 38?
35
Calculate the remainder when 38 is divided by -1 - (-17)/((-68)/(-88)).
17
Let o = 208 - 150. Calculate the remainder when o is divided by 18.
4
Let p(k) = k**2 - 20*k + 38. Let z be p(18). Suppose -22 = -2*c + m, -2*m = -4*c + z*m + 44. What is the remainder when 41 is divided by c?
8
Let p(x) = -18*x - 15. Let d be p(-4). Let g = 70 - d. Calculate the remainder when 20 is divided by g.
7
Let v(h) = h**3 - 42*h**2 + 56*h - 19. What is the remainder when v(41) is divided by 46?
44
Suppose 2*p = -36*q + 32*q + 98, -2*p = -4*q - 82. Calculate the remainder when 118 is divided by p.
28
Calculate the remainder when 178 is divided by (812/174)/((-4)/(-78)).
87
Let z = 47 - 36. What is the remainder when 296 is divided by z?
10
Suppose -270 = 31*r - 26*r. What is the remainder when r/36*(-26)/3 is divided by 7?
6
Suppose q = -q + 138. Suppose -9*j = 2*j - 99. Calculate the remainder when q is divided by j.
6
Let n = -12 + 24. Let b = 579 + -547. What is the remainder when b is divided by n?
8
Let v(f) = 15*f**2 - 4*f - 2. Let g be (1/(-1))/(3*4/24). What is the remai