
16
Let o(y) = -2*y**2 + 31*y. Let k(m) = -4*m + 4. Let t be k(0). Suppose -2*n = a - 41, -92 = -5*n - a + 2*a. What is the remainder when o(t) is divided by n?
16
Let k = 147601 + -147364. What is the remainder when k is divided by (-1)/(-2) + (-79)/(-2)?
37
Suppose 8 = 4*k, -463 = -2*c + 5*k - 179. Calculate the remainder when 25283 is divided by c.
146
Let b be 6/(-9) - (-148)/(-3). Let a = 88 - 35. Let m = a + b. Calculate the remainder when 11 is divided by m.
2
Suppose -d + 5*o - 75 = -124, 3*o = 3*d - 99. Calculate the remainder when 574 is divided by d.
23
Suppose 36*l + 26*l = -12*l + 69708. What is the remainder when l is divided by 230?
22
Calculate the remainder when 1359 is divided by -5 - ((-1363)/3 - 12/(-36)).
12
Suppose -3*i + 20 = 5*b + 27, 11 = i - b. Calculate the remainder when 15 is divided by i.
3
Let r = 5705 + -5700. Calculate the remainder when 7 is divided by r.
2
Let u(k) = -14*k**3 + k**2 - 3*k. Let t be u(-2). Let j = t + -62. Suppose 0 = g + 4*g - j. Calculate the remainder when 33 is divided by g.
9
Let j(k) = 4*k**2 - 2*k + 3. Let z(q) = 4*q**2 - 2 + 4*q - 9*q**2 - 2*q. Let d(o) = 4*j(o) + 3*z(o). What is the remainder when d(7) is divided by 11?
8
Let p(k) = 11*k - 88. Let a be p(9). Suppose 0 = -a*w + 522 + 754. What is the remainder when w is divided by 63?
53
Calculate the remainder when 116 is divided by 10/25*(2 - -103).
32
Suppose j - 4*j = 2*g + 719, -1081 = 3*g + 5*j. Let t = g + 376. What is the remainder when 86 is divided by t?
14
Suppose 1869*d - 14490 = 1824*d. What is the remainder when d is divided by 40?
2
Suppose 0 = -2*g + 6*x + 2270, 2*x + 369 = 367. Calculate the remainder when g is divided by 327.
151
Suppose 529 = 4*z - 343. Let f = z + 120. What is the remainder when f is divided by 34?
32
Suppose 0 = 8*a + 9*a - 238. Suppose -5*n = -39 + a. Calculate the remainder when 12 is divided by n.
2
Suppose 0*n + 2*t = -n - 70, -100 = 2*n - 4*t. Suppose 4*k + 0*k = -184. Let i = k - n. Calculate the remainder when 96 is divided by i.
12
Let n(t) = 6*t + 63. Let j(z) = 3*z + 25. Let v be j(-6). Calculate the remainder when n(v) is divided by 37.
31
Let a be -2 + 2/2 - 1. Let h(s) = -19*s + 6. Let d(w) = -39*w + 11. Let u(q) = 3*d(q) - 5*h(q). Calculate the remainder when u(a) is divided by 17.
13
Suppose 4*b + 905 = 4*z - 91, 1241 = -5*b + 4*z. Let v = b - -752. Calculate the remainder when v is divided by 17.
14
Let h = -867 + 1013. Calculate the remainder when 8757 is divided by h.
143
Let v = 25773 + -25757. Suppose -10 = 2*q - 62. Calculate the remainder when q is divided by v.
10
Suppose -470*w + 12327 = -8353. What is the remainder when 2067 is divided by w?
43
Suppose -4*u = -3*q + 24, q + 2*u - 3*u = 8. Suppose 48 = q*t + 8. Suppose 7*b - 3 = 4*b, -5*l + 40 = t*b. What is the remainder when 23 is divided by l?
2
Let h be (-4 + 6)*(1 - 0). Let a be ((-11)/(-22))/(h/(-4)). Let y(r) = 43*r**2 - 2*r - 2. Calculate the remainder when y(a) is divided by 23.
20
Let t(a) = 8*a + 526. What is the remainder when 141 is divided by t(-55)?
55
Suppose r - 5*r - 4*r + 808 = 0. Suppose -v + 226 = 3*t, 3*t + 4*v = 116 + 113. Let a = -41 + t. What is the remainder when r is divided by a?
33
Suppose 5*d - 14 - 11 = 0. Suppose d*x - 28 = 102. What is the remainder when 8*(-4)/32*-100 is divided by x?
22
Let x(s) be the third derivative of -s**4/12 + s**3/2 + 6*s**2. Let y(b) = 41*b + 149. What is the remainder when y(-2) is divided by x(-2)?
4
Let b(y) = -8*y + 129. Let a be b(9). Let p be (1 - -2)/(30/(-520)). Let t = a + p. What is the remainder when 19 is divided by t?
4
Let m(s) = -9*s - 26. Let x(i) = i**2 + 7*i + 2. Let z be x(-6). Let k = 42 - 17. Calculate the remainder when k is divided by m(z).
5
Let z(n) = -n**3 + 13*n**2 + 3*n - 33. Let i be z(13). Suppose -i*c + 2*s + 790 = -c, 2*s + 634 = 4*c. Calculate the remainder when c is divided by 16.
12
Suppose -141 + 13 = 32*y. Let i(m) = 6*m**2 + 6*m + 15. What is the remainder when i(y) is divided by 18?
15
Suppose -260 = 4*t - 14*t. Let w = t + -79. Let j = w + 65. What is the remainder when 39 is divided by j?
3
Let v = -5419 + 6020. What is the remainder when v is divided by 76?
69
Let w = 10047 - 9628. What is the remainder when w is divided by 53?
48
Let v = 600 - 255. Suppose 3*f - t = 3, -2*f - 2*t - 5 = -5*t. Suppose 3*x - v = -3*n - 54, 188 = f*n + 5*x. What is the remainder when n is divided by 25?
24
Let x(f) = -2*f**3 - 14*f**2 - 84*f - 673. Calculate the remainder when x(-9) is divided by 17.
16
Suppose -4*h - 37 = c - 162, -h - 5*c = -55. What is the remainder when 66/44*(40 - 4)*(-16)/(-12) is divided by h?
12
Suppose 840 = 2*p - 12*p. Let o be 8/p*-3 + (-376)/(-7). Suppose m = 14 + o. Calculate the remainder when m is divided by 23.
22
Let a = -33285 - -33363. What is the remainder when 1024 is divided by a?
10
Let d = 614 + -547. Suppose -42 = -2*z + 8*z. Calculate the remainder when d is divided by 3/z - (-156)/21.
4
Suppose 0 = 4*o + 5*v - 1082, 2*o - 7*o + 1332 = -4*v. Suppose t - 273 = -5*j, -5*j = -t - 2*t - 261. What is the remainder when o is divided by j?
52
Suppose 0*b + 16*b + 3*b - 532 = 0. What is the remainder when 469 is divided by b?
21
Suppose -2*v + 671 = -b, 0 = -3*v + 2320*b - 2325*b + 1039. What is the remainder when 2668 is divided by v?
302
Suppose 13 = 3*r + 13. What is the remainder when 50 is divided by (43/(-129))/((-2)/78 - r)?
11
Let k = 82 - 82. Suppose 0*b - 4*b + 52 = k. Suppose -5*h = 5*w - 275, 2*w = -h + b + 45. Calculate the remainder when h is divided by 14.
10
Let t(b) = -b**3 - 13*b**2 - b - 4. Let p(u) = u**3 - 5*u**2 - 16*u + 1. Let h be p(7). Calculate the remainder when 62 is divided by t(h).
8
Let j(u) = 20*u**2 - u + 3. Let n be j(1). Suppose 155 = 5*z - 2*l, 3*z - 62 = 3*l + n. What is the remainder when 428 is divided by z?
32
Let r(j) = -7*j**3 - j**2 + 4*j - 5. Calculate the remainder when r(-4) is divided by (-66)/(-231)*413/2.
57
Suppose 0 = 7*l + y - 89149, -297*l - 3*y + 25463 = -295*l. What is the remainder when l is divided by 66?
64
Let f(k) = -k**3 - 12*k**2 - 15*k - 6. What is the remainder when f(-12) is divided by 57?
3
Let g = 5411 + -4968. What is the remainder when g is divided by 9?
2
Let p = -56 + 96. Let r = p + -1. Let v = -23 + r. What is the remainder when 45 is divided by v?
13
Let o(c) = 855*c - 1141. Calculate the remainder when o(9) is divided by 95.
94
Suppose -46*g + w - 6 = -47*g, 3*g - 5*w - 2 = 0. Suppose 4*r + 520 = g*i, -4*i + 5*r + 550 = 7*r. What is the remainder when i is divided by 23?
20
Let k(a) = 10*a**2 + 40*a + 386. What is the remainder when k(-6) is divided by 73?
68
Suppose 2*v - 24*d + 28*d - 76 = 0, -2*d - 2 = 0. Calculate the remainder when 2357 is divided by v.
37
Let u(x) = 125*x**2 - 11*x. What is the remainder when u(-2) is divided by 66?
60
Let d = -50 - -51. What is the remainder when 110 is divided by (7*d)/(2 - (-28)/(-16))?
26
Let w(r) = 14*r - 160. Let t(j) = -7*j - 30. Let n be t(-6). Suppose -38 = 3*o - 98. Calculate the remainder when o is divided by w(n).
4
Let z = -112 - -208. Suppose 0 = n - z - 67. Suppose 0 = 2*i - 4*i + 66. What is the remainder when n is divided by i?
31
Suppose -322 = -b - 5*p, 4*b = 57*p - 62*p + 1228. Calculate the remainder when b is divided by 72.
14
Suppose -102*t + 44616 = -50*t. Calculate the remainder when t is divided by 86.
84
Let l(p) = -p**3 + 30*p**2 + 2*p - 53. Let d be l(30). Suppose 1964 = d*m + 690. Calculate the remainder when m is divided by 61.
60
Suppose 0*h - 37 = -h. Let r(p) = 13*p**2 - 325*p + 10. What is the remainder when h is divided by r(25)?
7
Suppose z - 49 = -3*q, z - 157*q - 39 = -155*q. Calculate the remainder when 3009 is divided by z.
42
Let d(i) = -i**2 + 3*i + 1. Let p be d(5). Let j = p + 40. What is the remainder when j is divided by 17/(9 + -1 - 7)?
14
Let g(s) = s**2 - 4*s - 13. Suppose f + 9 = 3. What is the remainder when g(f) is divided by 56*12/480*5?
5
Suppose 0 = -4*m + 2*m + 64. Let b be 3783/(-52) + (-2)/8. Let q = -62 - b. What is the remainder when m is divided by q?
10
Let y be (-6)/(-24) + 6/8. Let q be 76/(-2) + (-3 - y). Let p = q + 67. What is the remainder when p is divided by 7?
4
Suppose 209*q + 151*q - 7801200 = 0. What is the remainder w