 -i = -124 + 71. What is the remainder when i is divided by 31?
22
Suppose -51 + 201 = 4*s + j, -5*s + 5*j = -175. What is the remainder when 53 is divided by s?
16
Suppose -106*j = -101*j - 275. Calculate the remainder when j is divided by 10.
5
Suppose 2*m + q = 2*q + 95, 4*m = 5*q + 199. Suppose -9 - m = -5*k. Calculate the remainder when 30 is divided by k.
8
Let l(j) = j**2 - 3*j - 5. Suppose -w = -2*i - 55, 4*w - 182 = i + 66. Calculate the remainder when w is divided by l(6).
11
Let h = -426 + 495. What is the remainder when h is divided by -1*6*(-10)/6?
9
What is the remainder when 126 is divided by (9 - 2 - 2) + (209 - 150)?
62
Suppose -4*f + 8*f - 24 = u, 0 = 3*f + 4*u - 18. Suppose 252 - f = 2*m. Let b = m - 70. Calculate the remainder when b is divided by 28.
25
Suppose 10 = 4*r + 4*w + 170, -2*r = -w + 74. Let k = r - -45. What is the remainder when k is divided by 5?
2
Let t(m) = -m - 1. Let b(v) = -v**2 + 12*v + 2. Let w(l) = b(l) - 5*t(l). What is the remainder when w(13) is divided by 16?
11
Suppose -4*i - 3*g + 1546 = 0, 0*i = -3*i + g + 1153. Calculate the remainder when i is divided by 30.
25
Suppose -222*y - 105 = -225*y. Calculate the remainder when 98 is divided by y.
28
Suppose f + k - 26 = 2*k, 5*k = -3*f + 46. Suppose 5*u + 3*o = 20, 5*o + f = u + 2*o. Suppose -2*j - u + 71 = 0. Calculate the remainder when j is divided by 7.
4
Let o(z) = z**2 + 8*z + 2. Let t(d) = d**3 - 2*d**2 - d + 2. Let b be t(2). Let q(x) = -x - 8. Let r be q(b). Calculate the remainder when 5 is divided by o(r).
1
Let m(s) = -8*s + 230. Calculate the remainder when m(-13) is divided by 16.
14
Suppose 2*u = -5*f + 82 - 11, -5*u + 67 = 4*f. Calculate the remainder when 63 is divided by f.
11
Suppose -3*q - q - 20 = -3*g, 0 = -2*q - 10. Suppose i + 4*j = -139, g*j + 157 = -i + 5*j. What is the remainder when -2*i/6 - 4 is divided by 16?
13
Suppose 496 = -16*d + 78*d. Let r(f) = 14*f**2 - f + 1. Calculate the remainder when r(1) is divided by d.
6
Suppose -t - 7 = -3*j - 31, -j = -4*t - 3. Let a be 3/j*(-26 - 1). Let q(c) = c**2 - 4*c - 6. Calculate the remainder when q(a) is divided by 14.
11
Suppose 0 = -8*z + 279 + 881. What is the remainder when z is divided by (16/(-28) - -1) + (-288)/(-14)?
19
Let i = 1555 + -1550. Let w be ((-14)/(-21))/(2/18). Suppose -6*u = -3*u - w. What is the remainder when i is divided by u?
1
Let z(v) = v + 1. Let h be z(-1). Suppose 173*m - 175*m = -4. Suppose m*b + h*a - 105 = -5*a, -a = 3*b - 138. What is the remainder when b is divided by 16?
13
Suppose -12*t = -8*t - 148. Let g = 380 - 355. Calculate the remainder when t is divided by g.
12
Suppose 9*s + 63 = 10*s. What is the remainder when s is divided by 17?
12
Suppose -m + 2 = -3, 204 = 3*f - 3*m. What is the remainder when f is divided by ((-105)/14 + -2)*-2?
16
Suppose -121*p + 920 = -111*p. Calculate the remainder when p is divided by 22.
4
Let w = -47 - -60. Let v(i) = -2*i**2 - 5*i - 7. Let z(f) = 3*f**2 + 5*f + 6. Let y(o) = 4*v(o) + 3*z(o). What is the remainder when w is divided by y(7)?
1
Let p(v) = -16*v**3 - 57*v**2 - 2*v + 4. Calculate the remainder when p(-4) is divided by 14.
12
Suppose -4*u = u - 85. Calculate the remainder when ((-165)/(-9) - 3)/(1 + 2/(-3)) is divided by u.
12
Suppose 1 - 17 = -2*j. Suppose 11*g - j*g + 15 = 0. Let r = g + 19. What is the remainder when r is divided by 4?
2
Suppose 5*y - 46 = 3*l, 3*l + 1 = -5*y + 5. Let r = l + 28. Suppose 4*s = -z + 70, 6*s - 5*s + 331 = 4*z. Calculate the remainder when z is divided by r.
19
Suppose w - 404 = -3*w + 4*d, 12 = 4*d. Suppose -10*m = -6*m - w. Let b(p) = p**2 - 8*p - 8. Calculate the remainder when b(-6) is divided by m.
24
Suppose -5*z - 5*f = -115, 2*f + 47 + 40 = 5*z. Suppose -3*s + h + 17 = 0, -4*s = -0*s - h - 22. What is the remainder when z is divided by s?
4
Let k(d) = -d**2 + 8. What is the remainder when k(0) is divided by (-9 + 0 - -4)*-1?
3
Let z = 32 - 19. Suppose 12 = -11*u + z*u. What is the remainder when 17 is divided by u?
5
Suppose -12 = -4*m, k + 3*m - 43 = -k. Suppose w = z + 3*z - k, -4*z - 2*w = -2. Calculate the remainder when 7 is divided by z.
1
Let r(l) = 58*l + 282. Calculate the remainder when r(-3) is divided by 23.
16
Let w = 4 - 0. Suppose 0 = 4*o - 8*o + 36. Suppose -t + w = -o. Calculate the remainder when 37 is divided by t.
11
Suppose 5*t = 6*t - 173. Suppose 4*a = 5*n - t, -70 = -2*n + 3*a - a. Calculate the remainder when n is divided by 17.
16
Let a(y) = y**3 + 8*y**2 - 13*y - 10. Let f be a(-8). Let g = f + -50. What is the remainder when 15 is divided by -2 + (g/1)/4?
6
Suppose 0 = -m - 3*f + 390, 3*m + 95 = -4*f + 1265. Calculate the remainder when m is divided by 15.
0
Suppose 0*d + 25 = 3*a + 2*d, -4*a = 5*d - 31. What is the remainder when 50 is divided by a?
5
Suppose -26*o + 22*o + 112 = 0. Calculate the remainder when 136 is divided by o.
24
Suppose -2*y = -4*k - 12 + 54, 0 = 5*y - 4*k + 81. Let u = y + 20. Let r(q) = 5*q**2 - 73*q + 151. Calculate the remainder when r(2) is divided by u.
4
Let j = -12 - -7. Calculate the remainder when 12 + 0 - 10/j is divided by (13 - 9)*(0 + 1).
2
Let a(r) = -r**2 - 4*r. Let j be a(-4). Suppose -i + 3 = -j*i. Suppose -37 = -i*n - 2*g, -2*n - 6*g = -g - 43. Calculate the remainder when 34 is divided by n.
7
Let g(w) = 7*w**2 + w. Let c be g(1). What is the remainder when 107 is divided by -9*((4 - c) + 1)?
26
Let w = -14 - -17. Suppose 4*g + g = 5*y + 85, 0 = -w*g - 5*y + 11. What is the remainder when 43 is divided by g?
7
Let q = 8 - 0. Suppose w = -w + 186. What is the remainder when w is divided by (-1 - 2)/((-1)/q)?
21
Suppose 4*c + 216 - 896 = -4*k, -4*k - 5*c + 676 = 0. Calculate the remainder when k is divided by 41.
10
What is the remainder when (-1310)/(-8) - (2/(-8) - 0) is divided by (-6 - 104/(-4))*3/4?
14
Let t be (104/(-56))/((-3)/(-21)). Let q(k) = -k**3 + 6*k**2 - 5*k - 3. Let o be q(6). Let l = t - o. What is the remainder when l is divided by 7?
6
Let b = -1444 + 1648. Calculate the remainder when b is divided by 18.
6
Suppose 0 = 3*j - s - 92, -5*s - 40 = 4*j - 5*j. Let i(r) = -2*r. Let l be i(14). Let w = 86 + l. What is the remainder when w is divided by j?
28
Let t(u) = -u**3 - 14*u**2 + 32*u + 77. What is the remainder when t(-17) is divided by 31?
28
Let w = 67 - 63. Suppose w*o - 348 = 5*v, -5*v = 3*o - 27 - 199. Let i(p) = 3*p**2 - 2*p - 4. Calculate the remainder when o is divided by i(3).
14
Suppose 3528 = 9*m - 504. What is the remainder when m is divided by 50?
48
Let x = 383 + -235. What is the remainder when x is divided by 78?
70
Suppose -436 = 302*f - 304*f. What is the remainder when f is divided by 13?
10
Let s(j) = 30*j**3. Suppose -h - 1 + 2 = 0. What is the remainder when 88 is divided by s(h)?
28
Let v be 3/(-2)*680/12. Calculate the remainder when (2 - v) + (-2)/(-12)*6 is divided by 45.
43
Let m = 34 - 7. Let c be 71/3 - 85/51. Let h = c + -7. What is the remainder when m is divided by h?
12
Suppose 5*s - 58 = -2*b, 0 = 3*s - 6*b + 5*b - 26. What is the remainder when s is divided by 5?
0
Let d = -75 + 90. Let t(p) = 7*p**2 + 2*p + 4. Let y be t(-3). Let j = y + -19. Calculate the remainder when j is divided by d.
12
Let t = -25 + 11. Let r = 19 + t. Suppose r*s = -c + 27 - 3, s = 3. Calculate the remainder when 15 is divided by c.
6
Suppose 3*o - 53 = 28. What is the remainder when o is divided by (0/3 + -1)*-15?
12
Calculate the remainder when (-3916)/(-36) + -5 + (-6)/(-27) is divided by 3.
2
Let b(q) = -8*q**3 - 7*q**2 - 4*q + 4. Let c(t) = -t**3 - 3*t**2 + 6*t + 5. Let a be c(-4). What is the remainder when b(a) is divided by 34?
33
Let j = 15 + -17. Calculate the remainder when 17 is divided by j/(-14) + 248/28.
8
Let r = 3 + 14. Calculate the remainder when r is divided by 2.
1
Let h(v) = 2*v**2 - 5. Calculate the remainder when 4 + (-162)/39 - 981/(-39) is divided by h(3).
12
Suppose -19*i = -21*i + 114. Calculate the remainder when i is divided by 23.
11
Let g(x) = 2*x**2 + 4*x + 6. Let l be g(-3). What is the remainder when 2 + 664/l + (-8)/(-12) is divided by 21?
16
Let z be (-20)/(20/(-4)) - 1. Suppose -7*d + 78 = z*s - 4*d, -2*s + 47 = d. Calculate the remainder when s is divided by 8.
5
Let l be 6/2 + (-493 - 10). Suppose 0*a - 13 = 