. Let a = l + 34. Let r(f) = f**3 + 13*f**2 + 5*f - 31. What is the remainder when r(-12) is divided by a?
15
Suppose -3*s + 3*v - 186 = 0, 2*s + 159 = 3*v - 8*v. Let j(o) = -o**3 - o**2 + 39. What is the remainder when 2546/s*(2/(-2) + -1) is divided by j(0)?
37
Suppose -p - 146 = -w, -8*w - 4*p = -7*w - 116. What is the remainder when 148 is divided by w?
8
Suppose -4*v = -24, -3*v - 1189 = 9*a - 10*a. Calculate the remainder when a is divided by 10.
7
Suppose -2*v + 462 + 1432 + 42 = 0. What is the remainder when 2917 is divided by v?
13
Let i(t) = -4*t - 42. Let p be i(18). Let f = -88 - p. Suppose r - 5*m - 3 = 2, 2*m = 2*r - f. Calculate the remainder when 57 is divided by r.
12
Let d(w) = -3*w + 4. Let t be (-4)/(-6)*(-15)/2. Suppose -41 = -5*g + 7*m, 4*m + 29 - 4 = 3*g. What is the remainder when d(t) is divided by g?
8
Let m(v) = -3*v**2 + 43*v + 138. Let s be m(-3). Suppose 2*j - 21 - 43 = 0. What is the remainder when ((-1752)/16 - -7)*s/15 is divided by j?
27
Let y = -5037 - -5090. Calculate the remainder when 582 is divided by y.
52
Let q(x) = -x**3 + 12*x**2 + x + 11. Let u be q(5). Let k = 245 - u. What is the remainder when 206 is divided by k?
44
Suppose -f = 5*v - 228, 5*v - 2*f = -4*f + 226. Let w = 50 - v. What is the remainder when 96 is divided by (w/(-8))/(2/(-80))?
16
Let w(x) = x + 6. Suppose 7*c = 10*c - 129. Let j = 49 - c. What is the remainder when 57 is divided by w(j)?
9
Let b(i) = -5*i + 6. Let n be b(-3). Calculate the remainder when 9 is divided by (n/(-14))/((-15)/80).
1
Let f(t) = -t**3 + 2*t**2 + 9*t - 5. Suppose 8*a + 150 = -34. Let k = -20 - a. What is the remainder when f(k) is divided by 5?
3
Suppose 30*w = 695 + 55. What is the remainder when ((-450)/(-3) - -1) + -3 is divided by w?
23
Let a = 4348 - 4331. What is the remainder when 645 is divided by a?
16
Let q be (-18)/(-63) - (-19)/7. Suppose -n + 15 = 4*i, -q*i - 2*i = 5*n - 15. What is the remainder when 64 is divided by 2*(10/i - -4)?
12
Let v be (-2)/((1 + -2)*52/(-3614)). Let n = 191 + v. Let d(f) = f**3 + 3*f**2 - 6*f - 1. Calculate the remainder when n is divided by d(-4).
3
Suppose -2*u + 3 = -5*v, 3*u - 4*v = -37 + 45. Suppose 3*a - u*b = 114, b + 0 = -3. Let q = -203 - -332. What is the remainder when q is divided by a?
27
Suppose 216 = -3*v + 405. Let s = v + -31. What is the remainder when 62 is divided by s?
30
Calculate the remainder when 378728/840 + (-4)/(-30) is divided by 112.
3
Let o be (29/(-2))/((-2)/(-112)*4). Let v = -160 - o. Calculate the remainder when 341 is divided by v.
40
Let m = 18006 + -17636. What is the remainder when m is divided by 365?
5
Let t be (30/(-9))/((-2)/(-6)). Let k(b) = -23 + 4937*b - 4950*b + b**2 - 2*b**2. Calculate the remainder when 9 is divided by k(t).
2
Suppose r - 3 = -z, r + 4 = -3*z + 3. Let w(o) = -326*o - 24114. What is the remainder when (-1 + -18)/(2/z) is divided by w(-74)?
9
Let c(j) be the first derivative of -j**2/2 + 21*j - 35. Suppose 58 = y + y. What is the remainder when y is divided by c(3)?
11
Suppose 2*f = 2, 2*i = -0*i - 4*f + 1566. What is the remainder when i is divided by ((-98)/(-343))/(8/(-14))*-46?
22
What is the remainder when 404 is divided by 4994/44 + (-3 - (-10)/4)?
65
Let r = 436 + -422. Let l(c) = -2*c**3 + 24*c**2 + 61*c + 8. Calculate the remainder when l(r) is divided by 21.
15
Let i = 23919 - 23878. What is the remainder when 3769 is divided by i?
38
Let a = -71 - -124. Suppose 351 = 47*c - 20*c. Suppose p - 2*p + o + c = 0, -17 = -p + 2*o. What is the remainder when a is divided by p?
8
Suppose 3*t = -3*f, 0 = 4*f + t + 3 - 12. Suppose 595 = 32*z + f*z. Calculate the remainder when 305 is divided by z.
16
Let t = 3584 - 1416. Calculate the remainder when t is divided by 12.
8
Let i(k) = -3*k + 9. Let p be i(-7). Calculate the remainder when (-21)/(-2)*(3 - 2/(-6)) is divided by -3*3/(-54) + 625/p.
14
Let h = -52 + 46. Let o = 8 + h. What is the remainder when (21 + -3)*2/6 is divided by o?
0
Suppose 0 = -13*z + 245 + 171. What is the remainder when 67 is divided by 4/z*12*2?
1
Suppose -43*w = -35*w - 304. Let l = 31 + w. What is the remainder when l is divided by 6?
3
Let r(j) = -26*j - 4. Let x be r(-4). Let n = x + -97. What is the remainder when 5 is divided by n?
2
Let v be (12/39)/(34/221). What is the remainder when 15/v*(-5 - 46/(-6)) is divided by 18?
2
Let u = -43 + 58. Let y = 25 - u. What is the remainder when 24 is divided by (26/y)/(1/5)?
11
Let w = 61 + -69. Let t be (196/16)/((-6)/w - 1). Let a = 60 + t. What is the remainder when 53 is divided by a?
9
Suppose -351 = -3*m - 75. What is the remainder when 288 is divided by m?
12
Let h = 3651 - 3519. What is the remainder when h is divided by 61?
10
Let h be 0 + 6*1*1/(-2). Suppose 2*x - w + 0 = 4, -2*x = w - 4. Calculate the remainder when ((h/x)/3)/((-5)/600) is divided by 18.
6
Suppose 5*q - 299 = 3*j + 578, -2*j = 4*q - 706. What is the remainder when (q/10)/((-4)/(-10)) is divided by 14/4 - (-1)/(-2)?
2
Suppose 3*l - 40 = l. Suppose 11*q - 46 = l. Calculate the remainder when (13/q)/(-13) - 85/(-6) is divided by 3.
2
Let v(x) = 16*x**2 - 3. Let p be -3*(-2)/(-6)*2. Let j = -133 - -165. Calculate the remainder when v(p) is divided by j.
29
Let k(x) = -57*x - 54. Let b be k(-8). Let j = b - 392. Calculate the remainder when 28 is divided by j.
8
Suppose -18 = -2*d + 5*u, -3*d + 36 = d - 5*u. Let f(v) = -v**3 + 8*v**2 - 4*v - 11. Calculate the remainder when f(6) is divided by ((-8)/18)/2 - (-74)/d.
5
Let z(s) = -134*s + 45. Let u be z(-5). Let i = u - 609. What is the remainder when i is divided by 13?
2
Let s be (-13104)/(-60) + -2 + 26/10. Let u = -200 + s. What is the remainder when 130 is divided by u?
16
Let i(r) = 2*r**3 - 16*r**2 + 43*r - 192. What is the remainder when i(11) is divided by 48?
47
Let u be (-122)/(-6) - ((-5)/(-15) - 0). Suppose -4*q + 2*q + 4*i + 4 = 0, -u = -5*i. Calculate the remainder when 10/(-4) + (-2)/4 + 58 is divided by q.
5
Suppose 506*k + 7480 = 514*k. What is the remainder when k is divided by 13?
12
Let o = 63 - 59. Suppose 5*c = o*m + 107, 4*c - 64 = -2*m - 2*m. Suppose -c*h = -20*h + 38. What is the remainder when 187 is divided by h?
35
Let y = -72 - -69. Let q be ((-490)/15)/2*y. Suppose 4*a - 176 = -4*u, 0*u = a + 2*u - q. Calculate the remainder when 152 is divided by a.
35
Suppose 4*d = -63 + 91. Suppose -f + d*y = 3*y - 14, -3*f + 4*y + 10 = 0. Calculate the remainder when 11 is divided by (-1)/2 - 17/f.
3
Suppose 3 = -u + 7. Let j be (0 - u) + (89 - -1). Suppose -p = 3*v + 4*p - j, -2*v + 3*p = -70. Calculate the remainder when v is divided by 9.
5
Suppose w + 5 = 14. Let a(n) = 6*n**2 - 1282*n - 3859. What is the remainder when a(-3) is divided by w?
5
Let a(h) = h + 43. Let t be a(2). Let s = -8 + 10. Suppose -y + q + t = -0*y, 3*q + 88 = s*y. Calculate the remainder when y is divided by 12.
11
Let x = -2499 + 3759. What is the remainder when x is divided by 125?
10
Suppose -479 = 30*m - 1919. What is the remainder when 278 is divided by m?
38
Suppose -5*b + 251 - 217 = -t, -38 = -5*b + 2*t. Calculate the remainder when 16 is divided by b.
4
Suppose 12*o - 134 = -3*j + 7*o, 3*o + 64 = 2*j. Suppose 2*g - v - 2*v - j = 0, 3*g = 4*v + 56. What is the remainder when g is divided by 9?
7
Suppose -30*n + 10061 = 2707 - 6506. What is the remainder when n is divided by 82?
52
Suppose 3*q - 2*a = -q - 8, -3*q - 2*a - 20 = 0. What is the remainder when ((-94)/q)/(6/12) is divided by ((-8)/(-4))/(-1) + 18?
15
Suppose 64*i + 58*i - 1514 - 3122 = 0. Calculate the remainder when i is divided by 7.
3
Suppose 27 - 105 = 13*b. Let l(d) = -15*d - 42. Calculate the remainder when 431 is divided by l(b).
47
Let m(s) = -s + 39. Let c(t) = -t**2 + 27*t - 105. Let u be c(5). What is the remainder when 132 is divided by m(u)?
30
Let z(r) = 6*r - 2. Let j(c) = 2*c**2 + 4*c - 44. Suppose -2*x = 4*h + 30, 9*h = 8*h + 4*x + 6. What is the remainder when z(1) is divided by j(h)?
0
Let k = 434 - 102. Suppose 5*n = 5*g + 470, -k = -4*n - g + 69. What is the remainder when n is divided by 26?
21
Suppose 4*b + 15 = b. Let h = 27 + b. Suppose 4*u - 5*q - 44 = -2*q, -2*u + h = -4*q. Calculate the remainder when 43 is divided by u.
10
Suppose 2*d - 3*d + 7 = 0. Let o(x) = 90*x**