 + u = -a. Suppose -6*i - 3*d = -8*i + 150, v = -3*d - 6. What is the remainder when i is divided by 19?
15
Let h(i) = 2*i**3 - 77*i**2 + 41*i - 92. What is the remainder when 7809 is divided by h(38)?
21
Let w(m) = -6*m**3 - m**2 - 2*m - 2. Let l be w(-1). Suppose l*y - 17*y = -912. Calculate the remainder when y is divided by 18.
4
Let l = 1339 - 1181. Let o be 1 + 6 + 4 + -3. Calculate the remainder when l is divided by o/12 + (-67)/(-3).
20
Let w(x) = -53*x + 235. Let y be w(4). Let v = 2 - 5. Let s = v + y. What is the remainder when 79 is divided by s?
19
Let g(n) = n**2 + 9*n + 7. Let r be g(-1). Calculate the remainder when 57 is divided by ((-45)/216*20)/(r/6).
7
Suppose 4*d + 4 = -2*b, 0 = 3*d - 6*d - 6. Suppose 0*m = -b*m - p - 103, 4*m + 200 = -4*p. Let c = m + 160. What is the remainder when c is divided by 36?
35
Suppose -5*u + 301 = 286, 0 = 4*k - 14*u - 302. Calculate the remainder when 653 is divided by k.
51
Let u(j) = 81*j**2 + 1620*j + 32. Suppose -v - 4*f + 0*f = -245, 5*v + 2*f = 1243. What is the remainder when v is divided by u(-20)?
25
Suppose -3699 = -64*b + 6*b + 419. What is the remainder when b is divided by 47?
24
Let r be (5 - 2)*(-16)/(-12). Calculate the remainder when 79 is divided by 64/6 - r/6.
9
Suppose -50*t = -2964 - 7386. Calculate the remainder when 1654 is divided by t.
205
What is the remainder when 373 is divided by (-25)/((-300)/24) - -325?
46
Suppose -84*u + 36 = 2*h - 82*u, 4*u + 654 = 18*h. Calculate the remainder when (-2)/3 + 221/3 is divided by h.
7
Suppose 4*a + 176 = 2*b, b + 0*b + 5*a = 95. Suppose -2*z + 50 = 4*r, 2*z = 2*r + 33 - 1. What is the remainder when b is divided by z?
14
Suppose -34*l = -186 + 50. Suppose 4*y = 4*z + 124, -y - y + 4*z + 72 = 0. What is the remainder when y is divided by l?
2
Calculate the remainder when (-2)/(-4)*22 + 1009 + 86 is divided by 273.
14
Let p(k) = 2*k**2 - 13*k + 14. Let y be -9 + 10 - -3*1. Suppose 0 = f + b - 6, f - b = -y*f + 30. Calculate the remainder when 38 is divided by p(f).
6
Let a = -48 - -50. Let h be ((-395)/(-10) + 2)*a. Let r = h + -74. What is the remainder when r is divided by 6?
3
Suppose 117*w - 120*w - 4*p = -14, -2 = 2*w - 3*p. Suppose -4*f = 4*y - 192, 0*f - 5*f + w*y + 205 = 0. What is the remainder when f is divided by 12?
7
Suppose 2*c - 7*c + 385 = 0. Suppose -n = -17 - c. Suppose -6*q + n = -14. Calculate the remainder when 68 is divided by q.
14
Suppose 7*u = 2*r + 1152, 5*r + 67 + 572 = 4*u. What is the remainder when u is divided by 92?
74
Suppose -2*o + 92 = 4*x, 0 = -3*x + 3*o + 28 + 50. Let f = -27419 - -27467. Calculate the remainder when f is divided by x.
0
Suppose 63048 = 485*r + 15033. Calculate the remainder when 7118/8 - (-4)/16 is divided by r.
98
Let c = 56 + 106. Suppose 0 = x - 5*y - 13, 116 = 4*x - 12*y + 8*y. Calculate the remainder when c is divided by x.
30
Suppose -4*o - 144 = -6*o + 4*z, 93 = o + 5*z. What is the remainder when 251 is divided by o?
17
Let f be 194/7 + 5/140*8. Let c = f - 14. Let d = -53 - -61. What is the remainder when c is divided by d?
6
Suppose -108*x + 105*x + 45 = 0. Suppose -4*a = -27 + x. What is the remainder when 69 is divided by a?
0
Let d = -13325 - -13367. What is the remainder when d is divided by 25?
17
What is the remainder when 197 is divided by 162095/850 + 6/20?
6
Suppose 4600 = -52*s + 5*s + 34680. Calculate the remainder when s is divided by 28.
24
Suppose 21*p - 7966 = -2443. What is the remainder when p is divided by 67?
62
Let u(a) = -a**3 + 84*a**2 - a + 100. Suppose 7*z + o = 2*z + 707, 2*z + 5*o = 269. What is the remainder when z is divided by u(84)?
14
Let m(j) = 408*j. Let c(q) = q**2 - 9*q + 19. Let a be c(3). Let u be m(a). Suppose -b + u = 7*b. What is the remainder when 99 is divided by b?
48
Let m be (-1)/(-5) + (-31)/5. Let i(r) = -7*r - 1. Suppose 5*d - 19*t + 39 = 0, -5*d - 24*t + 26*t = -63. Calculate the remainder when i(m) is divided by d.
11
Let j(g) = 8*g**3 + 17*g**2 - 91*g - 141. Calculate the remainder when j(13) is divided by 146.
145
Let u(q) = -9*q + 11. Let o be u(1). Suppose b - x - o = 71, -2*b + 146 = 3*x. Calculate the remainder when b is divided by 21.
10
Let k(u) = -36*u**3 + 6*u + 6. Let w = -344 - -343. Calculate the remainder when 66 is divided by k(w).
30
Let l = -165 + 176. Let x(n) be the third derivative of 5*n**4/24 + 7*n**3/6 + n**2. Calculate the remainder when x(5) is divided by l.
10
Let h be (4/(-6))/(2/60). Suppose -1493 + 233 = -26*z + 222. Calculate the remainder when z is divided by 12/2*h/(-6).
17
Suppose 0 = z + j - 932 - 193, 1140 = z + 4*j. What is the remainder when z is divided by 21?
7
Let h(n) = 120*n**2 + 8*n - 3 - 2*n - 3 - 119*n**2. Let q be h(-7). Calculate the remainder when q + ((-30)/15 - 83/(-1)) is divided by 28.
26
Let l = -358 + 1073. Calculate the remainder when l is divided by 36.
31
Suppose -2*o = 3*u - 200, 20*u - 25*u + 5*o + 350 = 0. Suppose 0*v + v = -4*t + 64, -t = 0. Calculate the remainder when v is divided by 2*u*(-5)/(-40).
13
What is the remainder when -2 + 730 + (20 + -14 - 1) is divided by 36?
13
Suppose 17 = 5*l + 2*o, -2*o + 0 = 3*l - 7. Suppose -l*v + 1 = f + 10, 5*f - 3*v = 39. Suppose -7 = 5*d - 82. Calculate the remainder when d is divided by f.
3
Let k be -4 + 0 + 3 - -2. Let p be (-36)/(k*(-2 - 180/(-93))). Suppose -2*b = 4*b - p. Calculate the remainder when b is divided by 12.
9
Suppose -1690 = 193*b - 206*b. Suppose 7*c = 297 + b. What is the remainder when 546 is divided by c?
58
Suppose 2*r + m - 31 = 0, -7*r = -3*r + 5*m - 77. Suppose r*t = 9*t - 16. Let u = 65 - t. What is the remainder when u is divided by 7?
6
Suppose -3*s + 22*r + 422 = 17*r, 144 = s - 5*r. What is the remainder when 504 is divided by s?
87
Suppose 4639 = -46*f + 176*f - 3161. Calculate the remainder when 3537 is divided by f.
57
Let x(d) = -3*d - 39. Let k be x(-17). Let z = 24 + k. Let h = -5 - -18. What is the remainder when z is divided by h?
10
Let t(r) = 3*r**2 + 45*r + 20. Let d(z) = 6*z**2 + 90*z + 39. Let y(b) = -4*d(b) + 7*t(b). What is the remainder when y(-11) is divided by 15?
11
Let i = -8777 + 10231. What is the remainder when i is divided by 42?
26
What is the remainder when (-5187)/38*(-8)/6 is divided by 65?
52
Let y be (-12)/30 + ((-96)/(-15) - 2). Let f(q) = q**3 - 3*q**2 - q - 2. What is the remainder when f(y) is divided by 4?
2
What is the remainder when 1313 is divided by 4/34 - (-7110)/255?
25
Suppose 6877 - 4436 = 132*b - 11683. What is the remainder when 2673 is divided by b?
105
Let w = -653 + 1555. What is the remainder when w is divided by 224?
6
Let g be (-40)/50 + -14*(-9)/(-30). Suppose -v = 2*v - 66. What is the remainder when 302*(3 + -2 - g/(-10)) is divided by v?
19
Suppose -38*b = -6924 - 2538. What is the remainder when b is divided by 7?
4
Suppose -170 = -5*h + 5*f, 4*f + 155 = 5*h + 2*f. Let a(q) = 4*q**2 + 40*q + 7. What is the remainder when a(-14) is divided by h?
28
Let d = 274 + 44. Suppose 176 = 4*v - 4*x, -5*v + v - 5*x + 140 = 0. What is the remainder when d is divided by v?
38
Let d(j) = -j**2 - 693*j + 179. What is the remainder when 671 is divided by d(0)?
134
Suppose -4*y + 19 = 3*k, -k + 3*y - 12 = 8*y. What is the remainder when (-1 + 0 + -19)/(k/(-26)) is divided by 14?
12
Let n be (2/(-6))/(1/(-9)). Let f = 1092 + -2362. Calculate the remainder when n/2*(-4 + f/(-15)) is divided by 32.
25
Suppose 1271 = 3*v - 5*n, -v + 3*n - 101 = -518. What is the remainder when v is divided by 101?
28
Calculate the remainder when 232 is divided by -1 + 156 - -18*18/(-324).
78
Let y be 570/(-25) + 78/(-15) + 5. Let z = y + 106. What is the remainder when z is divided by 7?
6
Suppose 0*r = 8*r + 40. Let h = r - -8. Let l = 6 - -2. Calculate the remainder when l is divided by h.
2
Suppose -71 = -2*b + c, 8*c - 32 = -b + 5*c. Suppose -4*a + 56 = 4*f, -a + 14*f + 41 = 24*f. What is the remainder when b is divided by a?
2
Suppose -5*s + 577 + 218 = 0. Calculate the remainder when s is divided by 1490/18 - (-3)/(-54)*-4.
76
Suppose 10*m - 93 + 393 = 12*m. Calculate the remainder when m is divided by 41.
27
Suppose 2*p - 5*r = p + 31, -p + r = -27. Suppose 2*g + 2*g = -3*x + p, 2*x - g = 10. Suppose -x*n + 86 = -232. What is the remainder when n is divide