 a be x(-5). What is the remainder when (10092/a)/(-1) + 40/340 is divided by 20?
18
Let d(l) = 3*l**3 - 2*l**2 + 13*l + 14. Let i(t) = t**3 + t**2. Let w(u) = d(u) - 4*i(u). Calculate the remainder when 142 is divided by w(-8).
28
Let f = 53 - 94. Let w = -39 - f. Calculate the remainder when w/12 - (-173)/6 is divided by 11.
7
Let h(b) = -62*b - 4. Let n be h(1). Let k = n + 58. What is the remainder when (56/(-6))/(k/48) is divided by 16?
8
Let n = 63 - 63. Suppose -x - 3*x + 300 = 4*f, n = 4*f - 3*x - 272. What is the remainder when f is divided by 16?
7
Let u = -442 - -227. Let c = u + 303. Calculate the remainder when c is divided by 47.
41
Let u = 115 - 42. Let o = u - 68. What is the remainder when 256/10 - (-16)/40 is divided by o?
1
Let b = 11548 - 11498. What is the remainder when 1207 is divided by b?
7
What is the remainder when 1499 is divided by (-185152)/(-1144) - (-2)/13?
41
Let u(j) = j**3 - 7*j**2 - 8*j - 44. Let z be u(15). Let f = 1704 - z. Let q = 49 + -31. What is the remainder when f is divided by q?
14
What is the remainder when 43/(516/4584) + -3 is divided by 36?
19
Let s = -263 + 426. Let z = 172 - s. Calculate the remainder when 33 is divided by z.
6
Let i = 5768 + -2569. What is the remainder when i is divided by 8?
7
Suppose 5*j = -21*b + 2396, 4*j + 380 = 4*b - b. Calculate the remainder when b is divided by 54.
8
Let j = -2031 + 2049. Suppose -n + 2 = 3*p, 5*n - 27 = -0*p + 2*p. Calculate the remainder when j is divided by n.
3
Let n(d) = -3*d**3 - d**2. Let i be n(1). Let o be (22/(-11))/(-1*i/(-6)). Suppose -9*w + 75 - o = 0. Calculate the remainder when 31 is divided by w.
7
Suppose 0 = k + 10*j - 13*j - 11020, -j = 2*k - 22082. What is the remainder when k is divided by 69?
67
Let n = 3979 + -3972. Let d(j) = -j. Let v be d(2). Calculate the remainder when 25/((0 - v) + -1) is divided by n.
4
Let m(z) = 21*z**2 - 14*z - 42. Let f be m(6). Suppose -21*h = -39*h + f. Calculate the remainder when 103 is divided by h.
33
Let w(m) = 103*m - 799. Calculate the remainder when w(29) is divided by 315.
298
Calculate the remainder when 3238 is divided by (57081/(-18))/(-53) - (-1)/6.
58
Suppose -19044 = 30*a - 86394. What is the remainder when a is divided by 560?
5
Calculate the remainder when 4 + (-4)/(48/(-18))*9340 is divided by 16.
14
Suppose 16 = -k + 2*k. Let l = -358 + 348. Calculate the remainder when (630/(-25))/(4/l) is divided by k.
15
Let m(n) = 5*n**2 - 98*n + 950. What is the remainder when m(9) is divided by 25?
23
Suppose 75 = 3*f - 3*r, 72 = 5*f + 4*r - 71. Suppose -f*m + 247 = -14*m. Suppose 5*w - m = 41. Calculate the remainder when 33 is divided by w.
9
Suppose -5*r + 9 = 5*s - 11, 0 = -s + 2. Let i be (25 - r)/(3/(-9)). Let f = i + 87. What is the remainder when 70 is divided by f?
16
Calculate the remainder when 1614 is divided by -69 - -70 - (-4)/6*(-1074)/(-4).
174
Suppose -878*q + 3064 - 2021 = -7737. Let l(d) = 52*d - 1. What is the remainder when l(2) is divided by q?
3
Suppose -b = -7 - 16. Calculate the remainder when (555/370)/(((-9)/86)/(-3)) is divided by b.
20
Let l(b) = -b**2 + 21*b - 93. Let k be l(13). Suppose -k*i + 2066 - 328 = 0. What is the remainder when i is divided by 45?
23
Suppose w + 171 - 185 = 0. Suppose -22*y = -w*y - 224. Calculate the remainder when 78 is divided by y.
22
Suppose 25*n - 146*n = -33517. What is the remainder when n is divided by 69?
1
Let h(s) = s**3 + 8*s**2 + 14*s + 15. Let v be h(-6). Let d(j) = 3*j**3 - 3*j**2 + 5*j - 11. Calculate the remainder when d(v) is divided by 12.
10
Let z(h) = 6*h**2 - 14*h - 30. Let w be z(4). Suppose -72 = -2*l - 0*l - 2*n, 98 = 3*l + n. Let k = l - w. Calculate the remainder when k is divided by 13.
8
Let h(q) = -q**3 + 41*q**2 - 56*q + 26. Let u be h(37). Suppose -3*l + u = 4*l. Calculate the remainder when l is divided by 41.
39
Let f = 183 + -101. Let m = -2661 + 2680. What is the remainder when f is divided by m?
6
Suppose -3*o + 11*o = -0*o. Suppose -26*b + 19*b + 217 = o. Calculate the remainder when 112 is divided by b.
19
Suppose -q - 2*q + 9 = 0. Let g(h) = -h. Let m(x) = -2*x + 3. Let o(z) = -3*g(z) + m(z). What is the remainder when q is divided by o(0)?
0
Suppose 113*c - 43940 - 4781 - 2129 = 0. What is the remainder when c is divided by 98?
58
Suppose 4*z = 3*v + 5456, -5*v = -15*z + 14*z + 1347. Calculate the remainder when z is divided by 137.
134
Suppose -36*d + 5678 = -2*d. Suppose -4*x - x = -120. Calculate the remainder when d is divided by x.
23
Calculate the remainder when 3103 is divided by (-11 - -10 - -2)/((-4)/(-4132)).
4
Let q(c) = -c**3 + 7*c**2 - 3*c - 20. Let j be q(6). Let v be 16/(j/(4 - -2)). Let m = -17 - v. What is the remainder when m is divided by 17?
14
Let x = 14683 - 14662. Suppose 3*y - 2*y + 4*q - 35 = 0, 0 = -3*y + q + 92. What is the remainder when y is divided by x?
10
Let d = -1 - -3. Suppose h = d*h - 18. Suppose -2*f + 104 = -3*x, f + x = -20499 + 20566. Calculate the remainder when f is divided by h.
7
Suppose 3*s + 29*a = 31*a + 61, s - 4*a = 17. What is the remainder when 55 is divided by 1*s*((-6)/1)/(-18)?
6
Suppose 4*q - r = 12495, -68*q + 72*q + 5*r - 12477 = 0. What is the remainder when q is divided by 1033?
24
Let l(r) = 37*r**2 - 12*r - 1. Let m(t) = 2*t**2 + t - 2. Calculate the remainder when l(4) is divided by m(-3).
10
Let n = -3123 + 3145. What is the remainder when (45 - 2) + 0 + -2 is divided by n?
19
Let k(n) = 41*n - 4753. What is the remainder when 1948 is divided by k(118)?
78
Let z(j) = -j**3 + 18*j**2 + 9*j + 29. Let h be z(18). Suppose t + i - h = 0, -i = 4 - 1. Calculate the remainder when t is divided by 67.
60
Suppose 5*v + 317 + 453 = 0. Let w be (1*-2 - v) + (8 - 9). Let o = w + -138. What is the remainder when 76 is divided by o?
11
Let a(m) = 4*m**2 + 4. Let j = -23303 - -23422. Calculate the remainder when j is divided by a(-2).
19
Let x(m) = 619*m - 1211. What is the remainder when x(3) is divided by 69?
25
Let j be ((-18)/(-15))/((-16)/(-40)) - -1. Calculate the remainder when 207 is divided by (-14 + (j - 4))/(-4)*10.
32
Let b = 1494 + -1467. Calculate the remainder when 343 is divided by b.
19
Suppose 0 = 327*y - 5*y - 44436. Suppose 2*r - 2*t - 14 = 0, 0 = -5*r + 2*r - 3*t + 21. Calculate the remainder when y is divided by r.
5
Let p = 401 + -263. Suppose -2*k = -4*g - 122, 4*k - 5*g - 97 - p = 0. Calculate the remainder when k is divided by 20.
15
Calculate the remainder when 392/(-21)*549/(-12) is divided by 841.
13
Let m be (-222*1 + 1 + 0)*1. Let v = 293 + m. Calculate the remainder when v is divided by 20.
12
Let z = -23020 - -23071. Calculate the remainder when z is divided by 10/3*(-45)/(-25).
3
Let h = 440 - 433. Suppose h*c + 289 - 366 = 0. Calculate the remainder when 260 is divided by c.
7
Let b(f) = f**2 - 5*f - 1. Let x be b(6). Let p = 12 - x. Suppose 0 = y - p*y + 42. What is the remainder when y is divided by 2?
1
Suppose 49*w + 12*w + 26850 = 86*w. What is the remainder when w is divided by 181?
169
Let p = 149 - 149. Let d(t) = 6*t + 68. Let n = 37 - 23. Calculate the remainder when d(p) is divided by n.
12
Let u = 49 - 22. Let n be (8/(-40))/((-2)/20). Suppose -n*b + 434 = -2*s, -5*b + 0*s = 4*s - 1058. What is the remainder when b is divided by u?
25
Let c(n) = -n**2 + 29*n - 46. Let a be c(27). Suppose -a*o = -7*o - 301. Calculate the remainder when o is divided by 78.
67
Let r(d) = d**2 - 4*d + 55. Let f be r(0). Let x = f + -30. Suppose 2*u + 3*m = 4*m + 9, -4*m + 20 = 0. What is the remainder when x is divided by u?
4
Suppose 2*s = 2*w - 8 + 20, -5*w - 22 = -3*s. Suppose -5*u + 2*t = -1627, s*u - 3*t - 1288 = 2*t. What is the remainder when u is divided by 22?
19
Let b(u) = 0*u - 12 + 6 - u - 1 + 12*u**2. Suppose p = -4, 5*n - 23 - 56 = p. Calculate the remainder when b(-2) is divided by n.
13
Suppose -59*s + 2*k - 1549 = -64*s, -4*k = -5*s + 1537. Calculate the remainder when s is divided by 86.
51
Let g(p) = 4*p**2 - 3*p + 2. Let u be g(1). What is the remainder when ((-1)/((-2)/u))/((-9)/(-420)) is divided by 18?
16
Suppose -4*v - 1 = u - 21, 15 = -2*u + 3*v. Calculate the remainder when (-15)/10*(u - 94/3) is divided by 3.
2
Let i = 5642 + -5112. Calculate the remainder when i is divided by 262.
6
Let