remainder when 472 is divided by x.
42
Suppose 1094*r - 1084*r - 190 = 0. What is the remainder when 23 is divided by r?
4
Suppose -46 = -b - 3. Let f = 79 + -68. Calculate the remainder when b is divided by f.
10
Let b = -189 + 303. What is the remainder when b is divided by 13?
10
Let h(v) = -2*v**3 + 21*v**2 + 39*v - 267. Suppose 0 = 2*j - 4*j + 2, 0 = -2*b + 4*j + 18. What is the remainder when h(11) is divided by b?
8
Let w(o) = 3*o**3 - 3*o**2 - 2*o - 1. Let u be ((-9)/(-5))/(27/45). What is the remainder when w(u) is divided by 24?
23
Let i = 542 + -541. Calculate the remainder when 3 is divided by i.
0
Suppose 0 = j + 5*x + 13, 14 + 14 = 4*j + 4*x. Let z(c) = -38*c**3 + c**2 - 2. Let u be z(1). Let b = u + 44. What is the remainder when j is divided by b?
2
Let f = 5 + -3. Suppose 6*u - 7 = 3*u + f*o, -2*u - 3*o = -22. Calculate the remainder when 4*4/(-32) + (-114)/(-12) is divided by u.
4
Let i = -1966 + 2010. Calculate the remainder when 342 is divided by i.
34
Suppose 431*u - 441*u + 230 = 0. Let f = -9 + -9. Let i = f - -31. What is the remainder when u is divided by i?
10
Suppose -6*r + 406 = 226. Calculate the remainder when 61 is divided by r.
1
Suppose -14*h = 61 - 915. What is the remainder when 236 is divided by h?
53
Let t = 281 + -234. What is the remainder when t is divided by 9?
2
Let c(l) = l**3 + 5*l**2 + 2*l - 1. Let x be 0 + 3 + -3 + -2. Let s(w) = -14*w - 1. What is the remainder when s(x) is divided by c(-2)?
6
Let f(b) = -3*b + 19. Let l(x) = -x + 10. Let y(t) = -2*f(t) + 5*l(t). What is the remainder when 84 is divided by y(5)?
16
Calculate the remainder when 2/(-3 - (-2156)/716) is divided by 30.
29
Let p(g) = g**2 + 17*g - 15. Let a be p(-13). Let n = -17 - a. What is the remainder when n is divided by 17?
16
Let h(v) = 2*v**2 - 4*v - 7. Let k be h(10). Let z = k + -106. What is the remainder when z is divided by 12?
11
Let f be 30/10*(-5)/(-3). Suppose 24 = -3*s - 3*v, -2*s - v = 8 + f. What is the remainder when 37 is divided by 7 + s/(-1) + -4?
5
Suppose -50 = -5*d - 5*c, c - 3*c = 4*d - 32. Suppose -3*y + d = -2*y. What is the remainder when y is divided by 2?
0
Let h(i) = -10*i + 719. Let x(l) = l**3 + 3*l**2 - 3*l - 2. What is the remainder when x(3) is divided by h(71)?
7
Suppose -y + 54 = 2*d, -5*y + 36 = -18*d + 19*d. Suppose 322 = 3*s + 13. Calculate the remainder when s is divided by d.
25
Suppose 4*i = 5*h - 180, 3*i - 119 = -5*h + 96. Let m(t) = t**3 - 4*t**2 + 2*t - 2. Calculate the remainder when h is divided by m(4).
4
Let v be 0 + 1*(-2 + 1). Let w = 1 + 0. What is the remainder when w is divided by 2 - (v - (-3 - -1))?
0
Let d(z) = 35*z - 175. Calculate the remainder when 211 is divided by d(8).
1
Let n(k) = k**2 + 4*k - 4. Suppose 0 = -7*l + l + 30. Suppose 9*u - l*u + 28 = 0. What is the remainder when 65 is divided by n(u)?
14
Let k(f) = 166*f**2 - 7*f + 6. What is the remainder when k(1) is divided by 157?
8
Let w(v) = -v**2 + 20*v + 23. Let n be w(19). Let i = 201 - n. What is the remainder when i is divided by 23?
21
Suppose 0 = 4*n - 8 - 28. Let q be n/(-63) + 195/(-7). Let k = -21 - q. What is the remainder when 17 is divided by k?
3
Suppose -y - 4 = -7. What is the remainder when (y - 0) + (10 - 10) is divided by 2?
1
Suppose 3*a - 5 = -4*m + 3, 3*a = 3*m - 27. Calculate the remainder when ((-14)/a)/(13/52) is divided by (-122)/(-14) + 4/14.
5
Suppose 2*r = 2*k + 110, -3*k + 168 = 3*r - 27. What is the remainder when r is divided by 11?
5
Suppose 0 = 5*r - 2*c - 52, -4*r = -2*c - 3*c - 45. Calculate the remainder when 7 - -28 - (2 - (4 - 2)) is divided by r.
5
Let z(x) = -2*x**2 - 20*x - 13. Let s be z(-9). Suppose 2*b - 22 = s*g - 6*g, 54 = 5*b + 3*g. What is the remainder when b is divided by 4?
0
Suppose 19*r = 11*r + 256. Let s = r + -30. What is the remainder when (-1)/(0 - -1)*-7 is divided by s?
1
Suppose -2*o - x + 2 = 0, 1 = -3*o + 3*x + 22. Suppose o*m - 28 = -2*s + 32, -5*s + 145 = 5*m. Let f = 34 + -19. What is the remainder when s is divided by f?
12
Let m be (-3)/6*-10 + -1. Let i = m - -1. What is the remainder when 15 is divided by (-29)/(-5) + i/25?
3
Suppose -6*v + 19 - 7 = 0. Suppose -23 + 7 = -4*f + 2*a, v*f - 2*a = 12. What is the remainder when 4 is divided by f?
0
Let k(t) = -t**3 - 5*t**2 + 5*t + 9. Let a be k(-6). What is the remainder when 73 is divided by a*(-3 + 1 - -3)?
13
Suppose -5*m + 4*q + 207 = 0, 29 = 2*m + 5*q - 67. Let h = m + -16. What is the remainder when 53 is divided by h?
26
Suppose 0 = -16*c + 8*c + 416. Calculate the remainder when c is divided by 14.
10
Let b(q) = -q**3 + 4*q**2 + 3*q + 6. Let z be b(5). What is the remainder when (90/z - -3)*-2 is divided by 14?
11
Suppose -5*u + 4*u = -2. Suppose 0 = -u*c + 45 + 19. Suppose -4*d + c - 6 = 2*w, d + 21 = 5*w. Calculate the remainder when 17 is divided by w.
2
Suppose -432 = -13*x - 3*x. Suppose 89 = -4*y + 2*a + 387, 3*y - 226 = a. What is the remainder when y is divided by x?
23
Let k be (5*-7 + -1)*-1. Suppose -5*g + 13 = -2*v - 12, 2*g = 5*v + 10. Suppose o + k = g*o. Calculate the remainder when 25 is divided by o.
7
Let o(d) = 84*d - 1. Let h be o(2). Suppose 3*k + 104 = -2*a + 4*a, 0 = 3*a + k - h. Suppose g = 6*g - a. Calculate the remainder when 41 is divided by g.
8
Suppose -51 = r - 3*r + 5*b, 0 = -5*r - b + 168. Suppose 44 = r*x - 29*x. What is the remainder when 65 is divided by x?
10
Let c = -62 - -76. What is the remainder when 50 is divided by c?
8
Suppose 32*g + 72 = 36*g. What is the remainder when 156 is divided by g?
12
Let o(i) = -i**2 + 7*i + 11. Let j be o(8). Suppose 0 = -j*h + 16 + 11. What is the remainder when 25 is divided by h?
7
Let z(s) = -s**3 - 5*s**2 - 13*s - 4. What is the remainder when z(-3) is divided by 9?
8
Let d(k) = 2*k**3 - 4*k**2 + 5*k - 4. What is the remainder when 159 is divided by d(4)?
79
Let w(n) = n**2 - 94*n - 587. Let b(m) = m**2. Let s = 0 - 2. Calculate the remainder when w(-6) is divided by b(s).
1
Let n(r) = r**3 + 3*r**2 - 12*r - 3. Let h be n(-5). Let j(t) = 4 + 1 - t**3 - 4 + 3*t - h*t**2. What is the remainder when j(-8) is divided by 11?
8
Suppose -25*m + 26*m - 15 = 0. What is the remainder when 33 is divided by m?
3
Suppose -18*o = -36*o + 866 + 1276. Let t(n) = 6*n**2 - 3*n - 4. What is the remainder when o is divided by t(3)?
37
Calculate the remainder when ((-1)/((-1)/(-102)))/(-2) is divided by 13.
12
Suppose 20 + 8 = -3*k + 4*q, -18 = 2*k - 3*q. What is the remainder when (-1)/(-2)*-2*k*1 is divided by 3?
0
Suppose -20 = -4*o, -6*c + 3*o = -3*c - 6. Let y(g) = 77*g - 229. What is the remainder when c is divided by y(3)?
1
Let h = 47 - -178. Suppose 2*p - 457 = 4*p - o, -3*o = p + h. What is the remainder when p/(-7) - 9/(-21) is divided by 12?
9
Let v(c) = -c**3 - 21*c**2 + 18*c - 52. Calculate the remainder when 103 is divided by v(-22).
31
Suppose -61 = -x + 5*a, 4*x - 37 = 4*a + 159. Calculate the remainder when 2666 is divided by x.
44
Suppose 4*c = 8, 169 - 41 = 2*i + 3*c. Calculate the remainder when i is divided by 34.
27
Suppose 33*a - 1225 = 161. What is the remainder when 174 is divided by a?
6
Let m be 9/(-12) + (-15)/(-36)*-3. What is the remainder when 134 is divided by (17 + m)*(-2 - -5)?
44
Let d(q) = q + 2. Let b be d(-13). Let t = b - -36. Calculate the remainder when t is divided by 9.
7
Suppose 30 = 2*d + 8*d. Suppose s - o - 54 = 0, d*s + 5*o + 43 = 165. What is the remainder when s is divided by 13?
10
What is the remainder when 3/(-3) - (27 + -1)*-1 is divided by 9?
7
Let r(q) = -q**3 + 30*q**2 + 26. What is the remainder when 99 is divided by r(30)?
21
Let y(z) = -24*z + 0*z**2 - z**2 + 37 - 5 - 10. What is the remainder when y(-17) is divided by 18?
15
Let u = -137 - -140. Suppose 5*x + 3*k - 210 = x, -u*x + 164 = -k. Calculate the remainder when x is divided by 14.
12
Let z(y) = -y**3 + 2*y. Let s be z(-2). Suppose 0 = s*v - 24 + 4. Suppose f - 2*d - 33 + 16 = 0, -d = 2*f - 14. What is the remainder when f is divided by v?
4
Let h be 1/3 - (-842)/(-6). Let b = h + 220. Suppose l = -3*l + b. Calculate the remainder when 37 is divided by l.
17
Suppose y = 11 + 1. Suppose b - d + 1 = 0, 0 = -2*d - 2*d + 12. Calculate the remainder when y is divided by ((-4)/(-8) - -2)*b.
2
Let z(i) = 6*i + 89. Le