 1. Let r be o(3). Suppose -2*w + 68 = 2*s + 2*s, -r = -s. Calculate the remainder when 72 is divided by w.
20
Suppose 3*r - 3*z - 2601 = 0, -164*r + z = -168*r + 3483. What is the remainder when r is divided by 231?
177
Suppose -175*s - 463*s + 2571778 = 0. Calculate the remainder when s is divided by 48.
47
Let b = -687 + 692. Suppose 4*m - 12 = 2*k - 34, -b*k = -m - 82. Calculate the remainder when 82 is divided by k.
14
What is the remainder when 246 is divided by 4/(48/15)*52?
51
Suppose 0 = 5*t + 15, t + 84 = h + 2*t. Suppose -53*f = -50*f - 66. Suppose 450 = f*z - 7*z. What is the remainder when h is divided by z?
27
Suppose 19*m + 282 = 2239. Suppose 3*b - m = n - 2*n, 3*n - 64 = -2*b. Calculate the remainder when b is divided by 14.
7
Suppose -811 = -28*k - 223. What is the remainder when 1578 is divided by k?
3
Suppose 7 + 8 = -d. Let u be d*(4 - 64/12). Suppose k + 4*w = 9 + 6, 3*w - u = -2*k. What is the remainder when 25 is divided by k?
4
Let g(f) = 13*f**2 - 5*f + 2. Suppose -13*c - 9 = -74. Suppose 5*i + 15 = 0, -i - 126 = -c*d - 4*i. What is the remainder when g(3) is divided by d?
23
Let a(x) = x**3 + 3*x**2 + x + 88. Let c be (0 - (-5)/(-15))*0. What is the remainder when a(c) is divided by 8?
0
Let q be 1/(-7) - (-5)/35. Suppose q = -4*m + 5*m - 100. Calculate the remainder when m is divided by 3 - (2 - 1) - -24.
22
Suppose 6*m - 122 = 268. Calculate the remainder when 127 is divided by m.
62
Let j(m) = 30*m - 4*m**2 - 7*m**2 + 21*m**2 - 93 - 9*m**2. Calculate the remainder when j(-35) is divided by 29.
24
Suppose -4*t = -635*h + 632*h - 27, -h - 29 = -3*t. What is the remainder when 21/2*(2 - 0) is divided by t?
9
Suppose 4*m - 3*m = 4. Suppose -2*j + 0*k + 36 = -k, 72 = m*j + 5*k. Let o = j + 4. What is the remainder when 64 is divided by o?
20
Let q = 10572 - 10472. Calculate the remainder when 313 is divided by q.
13
Suppose 142 = -5*x + 3*j, -8*x - j + 144 = -13*x. Let o = x + 60. Calculate the remainder when 60 is divided by o.
29
Let x(f) = -8*f - 1. Let y be x(2). Let l = y + 8. Let n(h) = -2*h**3 - 17*h**2 + 3*h - 5. Calculate the remainder when n(l) is divided by 13.
10
Suppose 0 = -156*w + 12296 + 1120. What is the remainder when w is divided by (-5652)/(-135) - 4/(-30)?
2
Let m(v) be the third derivative of 5*v**4/24 + 11*v**3/3 + 2*v**2 - 2*v. Calculate the remainder when 132 is divided by m(9).
65
Let h(g) = g**3 - 2*g**2 + g + 6. Let y(c) = 72*c**2 + 427*c - 5. What is the remainder when y(-6) is divided by h(0)?
1
Let q(r) = -2*r**3 - 6*r**2 + 10*r + 19. What is the remainder when 3449 is divided by q(-5)?
68
Suppose -65*k = 178*k - 15795. Calculate the remainder when 129 is divided by k.
64
Suppose 0 = -w + 4*w - 150. Let h be (-8)/18 - 12/(-27). Let t(q) = 12*q + 17. What is the remainder when w is divided by t(h)?
16
Suppose 0*g - 8240 = -6*g - 10*g. What is the remainder when g is divided by 65?
60
Let r(x) = 2*x**3 + 32*x**2 + 2*x + 26. Calculate the remainder when r(6) is divided by 1614.
8
Suppose 59 = 6*y - 301. Let h be 2/8 - 75/y. Calculate the remainder when 23 is divided by ((-32)/((-8)/(-2)))/h.
7
Let c(o) = 5*o**2 - 129*o - 193. Calculate the remainder when c(33) is divided by 316.
47
Let q be 162/42 - 5/(-35). Let y(j) = 2*j**3 - 8*j**2 + 7*j - 5. What is the remainder when 149 is divided by y(q)?
11
What is the remainder when 1367 is divided by 137 - (-18 - 50/(-10))?
17
Let b be (-288)/56*28/(-8). Suppose 33*r = 35*r - b. What is the remainder when r is divided by 2?
1
Let v(y) = 32*y - 3052. Calculate the remainder when 76 + -3 + (0 - -2) is divided by v(96).
15
Let h(t) = -5*t - 3*t + 2*t + 4*t - 12*t - 190. What is the remainder when 285 is divided by h(-14)?
3
Suppose -19 = -4*u - 3. Suppose 2*y + u = 3*i + 20, -4*y = 4*i - 12. Let q = 37 - y. Calculate the remainder when q is divided by 9.
5
Let s(q) = 2003*q - 3. Let t be s(1). Suppose -t = -3*v - 2*v. Suppose 0 = 6*z - 14*z + v. Calculate the remainder when z is divided by 18.
14
Suppose 0 = 3*y + 7*y - 50. Let k(n) = -2*n + 52. What is the remainder when k(y) is divided by 9?
6
Let v = 9857 + -9835. What is the remainder when 19818 is divided by v?
18
Let c(j) = -j**3 + 24*j**2 + 1881*j + 38. What is the remainder when 28271 is divided by c(-33)?
37
Let s(k) = k**3 - 4*k - 1. Let o be s(3). Let q = o + -4. Suppose 1 - q = -3*g. What is the remainder when 19 is divided by g?
1
Suppose 3*r = -13*o + 14*o + 559, -2*r + 390 = -5*o. Let n = -137 + r. Calculate the remainder when 573 is divided by n.
45
Suppose 28*y - 20523 = -17601 + 24154. What is the remainder when 1042 is divided by y?
75
Suppose -5*t = -2*i - 39 - 186, 3*t + 3*i - 114 = 0. Let o(g) = 6*g**2 - 5*g + 11. What is the remainder when o(-6) is divided by t?
42
Let k be (-33)/(-55) + (-3)/5. Suppose d - 82 + 9 = k. Suppose 0 = 4*p - 37 - 39. What is the remainder when d is divided by p?
16
Suppose 408 = -6*k + 432. What is the remainder when 87 is divided by (k/(-6))/(2/60*-2)?
7
Let j be (-12 - 43)*3/(30/4). Let v = -30 - j. Calculate the remainder when ((-228)/v + -3)*2 is divided by 27.
24
Let u = 72 + 134. Suppose -432 = -210*y + u*y. Suppose 0 = -4*w - 4*b + y, w = -3*w + 2*b + 90. Calculate the remainder when 94 is divided by w.
22
Suppose -k - k + 26 = 0. Let q(y) = 3*y**2 - 13*y + 7. Suppose -4*g = -10*g + 36. What is the remainder when q(g) is divided by k?
11
Let o = 19 - 30. Let s = 3 + o. What is the remainder when 495/12 - (-2)/s is divided by 6?
5
Let x(w) = 5*w**3 - 5*w**2 + 46*w - 394. What is the remainder when x(7) is divided by 125?
23
Suppose -31*n = -35*n + 5*k + 1667, -2*k = -n + 419. Calculate the remainder when n is divided by 104.
101
Suppose 9*v - 21 = 15. Suppose 110 = 3*p - 160. Calculate the remainder when p is divided by v.
2
Let f(h) = 7*h + 23. Let t be f(4). Suppose 649 + t = 35*v. What is the remainder when 136 is divided by v?
16
Let k = 3585 - 3039. What is the remainder when 1114 is divided by k?
22
Let h = 1 - -2. Let u(n) = n**3 - 24*n**2 + 44*n + 12. Let r be u(22). Suppose r*j - 83 = 97. Calculate the remainder when j is divided by h.
0
Let k = -430 + 430. Suppose -76*u + 80*u - 580 = k. Calculate the remainder when u is divided by 7.
5
Let k = 848 + -508. Suppose 0 = 2*b + 4*m - 68, 3*b - 21 = -4*m + 85. Calculate the remainder when k is divided by b.
36
Let r be 0 - (-1)/((-3)/(-6)). Let k = 515 - 458. What is the remainder when k is divided by 15/(1 + (-1)/r)?
27
Calculate the remainder when 336 is divided by (2/5)/(17/1258*(-1)/(-5)).
40
Calculate the remainder when 1*-1*(-5072)/16 is divided by 80.
77
Let v(a) = a**2 - 5*a + 3. Let l be v(4). Let w = 24 - l. Suppose -3*z + 331 = -4*o, -8*o = -3*o - w. What is the remainder when z is divided by 30?
27
Let t(f) = 236*f + 1476. What is the remainder when 1859 is divided by t(-6)?
59
Suppose 17*b - 23*b - t = -3394, 2821 = 5*b - t. What is the remainder when b is divided by 24?
13
Let t(r) = 2*r**3 - 164*r**2 + 171*r - 350. Calculate the remainder when t(81) is divided by 253.
126
Calculate the remainder when 561 is divided by -2 - (-766)/8 - 228/304.
3
Suppose 32*a - 26*a = 30. Let w(f) = -f**2 + 18*f - 55. Let x(r) = -r**3 + 4*r**2 + 3. Calculate the remainder when w(a) is divided by x(4).
1
Let g(b) = 2*b + 9. Let k = -67 - -75. Suppose 13*o - 40 = k*o. What is the remainder when g(7) is divided by o?
7
Suppose -11*r = -3*r - 32. Let o(f) = -f + 40. What is the remainder when o(r) is divided by 12?
0
Let p(n) = 9*n**2 + 7*n + 45. Calculate the remainder when p(-4) is divided by 2.
1
Let c be (238/6)/(-1*(-4)/132). Suppose 0 = 9*j + 2*j - c. Calculate the remainder when j is divided by 40.
39
Let b(g) = -18*g - 23. Let s be b(-13). Let m = -101 + s. Suppose 0 = -4*x + 6*x - m. Calculate the remainder when x is divided by 19.
17
Suppose -2*c + 2*r = 0, -4 = -3*c - 18*r + 19*r. What is the remainder when 127 is divided by 10179/319 + c/22?
31
Let m(o) = -2*o**2 - 15*o + 806. Calculate the remainder when 836 is divided by m(-23).
92
Let z(u) = u**3 + 13*u**2 + 11*u + 20. Let v be z(-8). Suppose 12*y - v = 10*y. Calculate the remainder when y is divided by 8.
6
Suppose 4*a = 3*y + 54, -21*y = -25*y - 8. Calculate the remainder when (25/(-20))/(2/(-304)) is divided by a.
10
Let w b