*h + r, -2*h + 3*r + 14 = 7*r. What is the remainder when j is divided by h?
14
Suppose 0*m - l = 4*m - 153, -5*m + 3*l + 187 = 0. Suppose 15*r + 53*r - 9996 = 0. What is the remainder when r is divided by m?
33
Suppose 5*b + 11*z - 239 = 7*z, 4*z = 4*b - 184. Calculate the remainder when b is divided by 19.
9
Suppose -583 = -9*b - 2*b. Calculate the remainder when 152 is divided by b.
46
Let l(i) = -4*i**2 - 3*i. Let t(z) = z. Let s(x) = l(x) + t(x). Let p be s(7). Let w = -145 - p. What is the remainder when w is divided by 17?
14
Let d = -40 + 67. Let o(i) = 1. Let r(p) = -p + 20. Let x(m) = 4*o(m) + r(m). Calculate the remainder when d is divided by x(9).
12
Suppose -7*h + 3*h = 2*m - 298, 0 = 5*h - 4*m - 353. Calculate the remainder when h is divided by 32.
9
Let b = -1048 - -1081. Calculate the remainder when b is divided by 3.
0
Let a(v) = v**2 + 2*v - 12. Suppose 0 = -2*o + o - 10. Let f be a(o). Suppose 0 = 3*x + x - f. Calculate the remainder when x is divided by 6.
5
Let q(l) = 10*l**2 - 6*l + 4. Let m be q(4). Suppose 16 + m = g. What is the remainder when (-1)/(g/(-51) + 3) is divided by 9?
8
Suppose -28*k - 2 = -27*k. Calculate the remainder when 4 + 61*k/(-2) is divided by 0 + (-1*2 - -24).
21
Let p(h) = -h**3 + 32*h**2 + 4*h - 59. What is the remainder when p(32) is divided by (-28)/6*(-1 + -2)?
13
Suppose -3*r + 106 = 2*v - 311, -5*r + 15 = 0. What is the remainder when v is divided by 41?
40
Suppose -13*f = -224 + 42. Calculate the remainder when f is divided by (-146)/(-30) - 14/(-105).
4
Suppose -390 = -5*r - 0*r. Let z = r + -56. Let y = 22 + 19. Calculate the remainder when y is divided by z.
19
Suppose -5*s = -2*o - 205, -o - 44 = -s - 0. Let b = 133 - 119. Calculate the remainder when 6/((6/s)/1) is divided by b.
11
Suppose 43*g - 46*g + 309 = 0. What is the remainder when g is divided by 65?
38
Let y = 37 + -14. What is the remainder when 106 is divided by y?
14
Let l(x) = x**3 + 5*x**2 + 3*x. Let d be l(-4). Suppose 2*t = d*y + 184, -5*t + 479 - 51 = -2*y. What is the remainder when t/7*(0 - -3) is divided by 19?
17
Let s(l) = -13*l**2 + 7*l + 7. Let u(z) = -27*z**2 + 15*z + 15. Let b(f) = -5*s(f) + 2*u(f). What is the remainder when b(-3) is divided by 16?
13
What is the remainder when (4 - 28)/4 - -21 is divided by 10?
5
Let o(w) = 10*w**2 + 11*w + 12. Calculate the remainder when o(3) is divided by 24.
15
Let c(g) = -11*g - 115. Calculate the remainder when 1*-3*(-6 - 3) is divided by c(-11).
3
Let x(l) = -l**3 + l**2 + 4*l + 4. Let q be x(-4). Suppose -3*h + q = -7*h. Let m = h + 22. What is the remainder when 12 is divided by m?
2
Let p(x) = x**2 - 3*x + 2. Let j = 31 + -20. Calculate the remainder when p(-4) is divided by j.
8
Suppose 0 = -3*r + 3*d - d + 298, 0 = 5*r - 3*d - 495. Calculate the remainder when r is divided by 28.
12
Suppose -33 = -5*m + 32. Suppose -3*g = -2*c + 2*g + 66, c + 3*g - 11 = 0. Calculate the remainder when c is divided by m.
10
What is the remainder when (698/(-14))/((-19)/133) is divided by 9?
7
Let j(o) = -9*o**2 + o + 17. What is the remainder when 305 is divided by j(0)?
16
Let z(g) be the first derivative of -g**2 - 5*g - 8. What is the remainder when 14 is divided by z(-7)?
5
Suppose 3*h + 35 = -2*y, -3*h + 2*y = -2*h + 25. Calculate the remainder when 597/9 - (-5)/h is divided by 34.
32
What is the remainder when 12 is divided by (-53)/(-11) - ((-171)/33 - -5)?
2
Let s be -33*4/(-12) + -1. Suppose 0 = -2*a + 8 - s. Calculate the remainder when 69 is divided by ((-14)/(-6) + a)*18.
21
Let c(f) = f**3 + 6*f**2 - 5*f + 3. Let h be c(4). Let y(q) = q**2 + 5*q - 28. Let j be y(-14). Let x = h - j. Calculate the remainder when x is divided by 12.
9
Suppose 0*a = -3*u + 4*a + 39, a - 37 = -2*u. Suppose -5*g - 72 = -u*g. Calculate the remainder when 16 is divided by g.
4
Let n be ((-11)/(-11) - (-4)/6)*-18. Let d = -18 - n. What is the remainder when 56 is divided by d?
8
Suppose 0 = -33*x + 42*x - 657. What is the remainder when x is divided by 42?
31
Suppose -u - 280 = -6*u. Suppose 0 = -115*r + 347 + 715 + 88. What is the remainder when u is divided by r?
6
Suppose -65 = -21*p - 2. What is the remainder when 22 is divided by p?
1
Calculate the remainder when ((-8)/24)/(2/(3 + -2085)) is divided by 27.
23
Let f(w) = 3*w**2 - 4*w + 2. Let h = 31 - 13. Let a = -13 + h. Calculate the remainder when f(a) is divided by 15.
12
Suppose y = w + 3*w + 241, 5*y - 1186 = w. Calculate the remainder when y is divided by 60.
57
Let o = -119 - -149. What is the remainder when o is divided by 13?
4
Let j = -64 - -139. Suppose j*a + 36 = 77*a. Calculate the remainder when 69 is divided by a.
15
Suppose -6*d + 36 = -2*d. Suppose 0*x = -5*x + 30. What is the remainder when d is divided by x?
3
Let h(k) = 19*k - 38. What is the remainder when 167 is divided by h(3)?
15
Let z be 3/(54/714) - (-1)/3. Suppose 0 = 3*m - x - z, 5*x - 13 = -3*m + 3. What is the remainder when 44 is divided by m?
8
Suppose -4*o - j + 1429 = 0, 8*o - 3*j + 1074 = 11*o. Calculate the remainder when o is divided by 118.
3
Calculate the remainder when 215 is divided by ((-3)/(-2) - 2)/(5/(-310)).
29
Suppose 0 = -5*r + 2*o + 260, -4*o - 250 = -5*r - 0*r. What is the remainder when r is divided by 16?
6
Suppose 2*m - 51*u - 18 = -54*u, 0 = -3*m - 5*u + 27. Calculate the remainder when 27 is divided by m.
0
Suppose o - 4*p - 32 = 7, -5*p = 0. Let n = 24 + 47. Let f = n - 50. Calculate the remainder when o is divided by f.
18
What is the remainder when (-2)/(-3)*3 - (15 + -31) is divided by (-4)/(-8) + (-13)/(-2)?
4
Let p(q) = 5*q - 25. Let b be p(6). Suppose -5*k + b*j = -70, 7*k + 5*j = 2*k + 60. What is the remainder when k is divided by 8?
5
Let w = 1622 - 1524. Calculate the remainder when w is divided by 13 - 1 - (1 - 0).
10
Let c(i) = 4*i + 88. Calculate the remainder when c(26) is divided by 59.
15
Let h = 360 - 292. What is the remainder when h is divided by 27?
14
Let s be 5 + 4/(-2) - 82. Let f = 101 + s. Suppose 0*t + 3*t = 189. What is the remainder when t is divided by f?
19
Let i(l) = -4*l - 67. What is the remainder when 422 is divided by i(-30)?
51
Suppose -1810 + 1842 = 3*a - a. Let u(w) = 0 + 5 + 5*w + 0. What is the remainder when u(5) is divided by a?
14
Suppose -5*t - 35 = -4*l, 4*l + 2*t + 2 = 16. Suppose -l*y = 2*u - 321, 134 + 124 = 4*y + 2*u. Calculate the remainder when y is divided by 22.
19
Let l(t) = -t**3 + 5*t**2 - 2*t - 8. Let w be l(4). Suppose w = -14*o + 1423 - 275. What is the remainder when o is divided by 17?
14
Let n = -28427 + 28486. Let t = -8 + 23. Calculate the remainder when n is divided by t.
14
Suppose 5*t - 85 = q, -5*q = 4*t - 7*t + 29. What is the remainder when ((-9)/(-3) - 2) + 43 is divided by t?
8
Let p(r) = -3*r**2 - 19 + 8*r**2 + r**3 + 22 + 3*r. Suppose -2*z - 180 = -4*x, 2*x + 0*z - 102 = -2*z. What is the remainder when x is divided by p(-3)?
11
Let a(g) = g**2 + g + 78. Let q = 2401 - 2392. What is the remainder when a(0) is divided by q?
6
Suppose -5*v - 5 = -3*o, -5*o - 3*v - v = -70. Calculate the remainder when 4*(1 + (-84)/(-8)) is divided by o.
6
Let n = 13 + -24. Let c(o) = 3*o - 12*o**2 - 25 - 22*o + 4*o + 7 + o**3 - 2*o**3. Calculate the remainder when c(n) is divided by 9.
8
Let z(w) be the first derivative of w**4/4 + 7*w**3/3 + 7*w**2/2 + 2*w + 5. Calculate the remainder when 2/(-2) - (-50 + (1 - 2)) is divided by z(-5).
16
Suppose -5*j - 20 = 0, 5*o + 4*j + 23 - 182 = 0. Calculate the remainder when 347 is divided by o.
32
Let j be -6*1/(-15)*10. Suppose -5*p + 702 - 252 = -5*l, -j*p + l = -360. Calculate the remainder when p is divided by 23.
21
Suppose -2*p - 155 = -5*r - 4*p, -4*p = -20. Let w(g) = 4*g + 8. Let o be w(-7). Let s = 36 + o. What is the remainder when r is divided by s?
13
Suppose -8*b + 1096 - 200 = 0. Suppose 5*k - 9*k + b = -2*n, 5*n = 5*k - 140. What is the remainder when k is divided by 7?
0
Let j be 13/52 + 2562/(-8). Let s = -219 - j. Calculate the remainder when s is divided by 35.
31
Suppose 0 = 5*j + 3*l - 5*l - 70, -j - 8 = 4*l. Calculate the remainder when 71 is divided by j.
11
Let n be -29 - (1 + (-4 - -3)). Let p = n + 51. Calculate the remainder when 63 is divided by p.
19
What is the remainder when (-160)/25*15/(-6) is divid