 What is the remainder when l(j) is divided by 40?
35
Let a = 48 + -44. Suppose a*b - 22 = 6*p - 7*p, 0 = -5*p + 5*b + 60. What is the remainder when p is divided by 6?
2
Let p(l) = 10*l - 24. Suppose j - t + 5*t - 2 = 0, -3*j + t + 19 = 0. What is the remainder when 179 is divided by p(j)?
35
Suppose -20*d - 20599 = -4399. Let n = -772 - d. Calculate the remainder when 1253 is divided by n.
37
Suppose -3*c + 67 = -134. Let v = -31 + 34. Suppose -v*n + 11 = -40. Calculate the remainder when c is divided by n.
16
Let r(b) = -5*b**2 - 48*b + 34. Let s be r(-10). Suppose -5 = -7*p + 2*p. What is the remainder when 12/s*245/70 is divided by p?
0
Suppose -36 = -5*a - 4*v, -5*v + 9 = -11. Calculate the remainder when 58 is divided by (26/(-4))/13 - (-66)/a.
10
Suppose 10*c + 104 = 14*c + 2*x, 0 = 4*c - 3*x - 84. What is the remainder when c is divided by 14?
10
Let s be 4059/(-287) - 1/(-7). Let a(l) = l**2 + 8*l - 22. Calculate the remainder when a(s) is divided by 23.
16
Let w be (-2)/((-16)/56) - 10. Calculate the remainder when (6360/90)/(w/(54/(-4))) is divided by 20.
18
Let t = -69 + 86. Suppose t*q - 15*q = 294. Suppose 0 = 5*b + a - q, 5*b + 2*a + 126 = 9*b. What is the remainder when b is divided by 6?
0
Suppose -2*n + 11 = -113. What is the remainder when n is divided by 18/(-126) + 58/14?
2
Let g = -1644 + 1647. Suppose -3*s + 4*b - 21 = -86, -g*b + 32 = 2*s. Let l(j) = 24*j**2 + 2*j + 1. Calculate the remainder when l(-2) is divided by s.
17
Let q = -5181 + 5895. Calculate the remainder when 718 is divided by q.
4
Let x(m) = m**3 + 15*m**2 + 7*m - 19. Let r = -188 + 208. What is the remainder when x(-14) is divided by r?
19
Let a(h) = 850*h + 130. Calculate the remainder when 403 is divided by a(0).
13
Let i(p) = 61*p**2 + p - 2. What is the remainder when 644 is divided by i(-2)?
164
Suppose -2*b - 2*m + 288 = 0, 7*b - 4*b - 453 = 4*m. What is the remainder when b is divided by 98?
49
Let m(j) = -2*j + 59. Let i be m(21). Suppose 3*q = 2*x + 263, -2*x + 68 = q - i. What is the remainder when q is divided by 22?
21
Let c = -224 + 227. Let f(k) = -k**3 + 5*k**2 + k - 13. What is the remainder when 21 is divided by f(c)?
5
Let x(c) = c + 86. Let t be x(-3). Suppose 188 = -3*m - 7. Let k = m + t. Calculate the remainder when 34 is divided by k.
16
Let z(f) = -f**2 + 96*f - 1204. What is the remainder when 909 is divided by z(81)?
7
Let l = 136354 - 136109. Let u = -6 + 90. Calculate the remainder when l is divided by u.
77
Suppose f - 230 + 170 = 0. Let l(u) = u**2 + 53*u - 111*u + f*u - 3. Calculate the remainder when 222 is divided by l(5).
30
Let h be (-5 - -5)/(3 - (-1 + 3)). Suppose -w + 581 = 5*x, h*x + x + 2*w - 109 = 0. Calculate the remainder when x is divided by 60.
57
Let u = -13306 + 13697. Calculate the remainder when u is divided by 4.
3
Let v(u) = u**3 - 13*u**2 + 19*u - 8. Let x(m) = -m**3 - 33*m**2 + 2*m + 78. Let b be x(-33). What is the remainder when v(b) is divided by 26?
24
Let j(a) = 962*a - 989. Calculate the remainder when j(4) is divided by 106.
103
Let x(u) = -9*u - 70. Let z be x(-8). Suppose -z*c + 134 = 5*j - 7, 0 = 3*j + c - 85. What is the remainder when j is divided by 16?
13
Let w = -315 + 329. Let b(n) = -8*n + 139. Calculate the remainder when b(w) is divided by 10.
7
Let r = 67 - 46. Let v = -352 - -367. What is the remainder when r is divided by 11*3*5/v?
10
Let h(a) = 83*a**2 + 469*a + 23. What is the remainder when h(-9) is divided by 22?
17
What is the remainder when 1822 is divided by ((-3)/4)/(9/60) - -88?
79
Let n = -13603 + 13780. What is the remainder when 4245 is divided by n?
174
Suppose -g - 12 + 10 = 0. Suppose -b + 2*b - 23 = -n, -3*n = 4*b - 89. What is the remainder when b is divided by (2 + -3)/(g/14)?
6
Let z = -61 - -70. Suppose 48*g - z*g = 5148. Calculate the remainder when g is divided by 69.
63
Let q(z) = 242*z - 1504. What is the remainder when q(16) is divided by 157?
13
What is the remainder when 88 is divided by ((-12)/(-19))/((-94)/(-893))?
4
Suppose 4*r - 362 = 15 - 93. Calculate the remainder when 567 is divided by r.
70
Let j(t) = t + 19. Let k(y) = 9*y**2 + 5*y + 5. Let f be k(-1). Calculate the remainder when 223 is divided by j(f).
27
Let m = 12 + -10. Suppose -62 + 5 = -3*l - o, -3*l + 66 = 4*o. Calculate the remainder when 3122/49 + m/7 is divided by l.
10
Calculate the remainder when ((5320/30)/28)/((5/(-318))/(-5)) is divided by 63.
61
Let x(i) = -2*i + 4*i + 23 - 3*i + 5. Let y be x(15). Suppose 0 = 3*z - 1 + y, -22 = -5*s - 2*z. What is the remainder when 21 is divided by s?
3
Suppose 3*m = 7*m - 576. Let x(z) = 25*z + 29. Let y(h) = 6*h + 7. Let p(t) = -2*x(t) + 9*y(t). Calculate the remainder when m is divided by p(4).
18
Let c(h) = 11*h**2 + 7*h - 7. Let a be c(1). Let x = 8 + a. What is the remainder when 54 is divided by x?
16
Suppose 6*m - 2*t = 4*m + 318, m = -t + 151. What is the remainder when m is divided by 7/(42/(-4))*-60?
35
Suppose -2*i - u - 3 = 3*i, -3*u - 9 = -5*i. Suppose -18*w = -i*w - 360. What is the remainder when ((-70)/(-6))/(2/6) is divided by w?
15
Suppose 9*g = 4*g + 85. Suppose -g - 33 = -5*n. Suppose -3*i - 40*q + 41*q + 85 = 0, -151 = -5*i + 3*q. What is the remainder when i is divided by n?
6
Let r = -19 + 40. Suppose 0 = 4*i - i, 0 = 4*s - 2*i - 40. Suppose s*c = 16*c - 612. What is the remainder when c is divided by r?
18
Let t(p) = -2*p - 17. Calculate the remainder when -1*(-2735)/40 + (-24)/64 is divided by t(-11).
3
What is the remainder when 955*(9 - (-602)/(-70)) is divided by 13?
5
Let t(l) = 123*l - 1160. Calculate the remainder when t(16) is divided by 44.
16
Let y = -7 + 8. Suppose 9*m - 1666 = -568. Let j = m - 118. Calculate the remainder when j is divided by y.
0
Suppose 0*g - 3*z + 405 = 3*g, 0 = 3*g + 4*z - 406. What is the remainder when g is divided by 68?
66
Let n be 2/12 - (-6 - 25/(-6)). Suppose -n*a + 5*l = -70, 2*a - l = 3*l + 72. What is the remainder when a is divided by 17?
6
Suppose -5*j + 10*j - 70 = 0. Suppose u - 5*u + 16 = 0. Suppose 137 = x + 6*m - m, -4*x = -u*m - 548. Calculate the remainder when x is divided by j.
11
Let z(v) = -v**2 - 11*v - 6. Let x be z(-10). Let i(w) = -2 - 5*w - 14 - x - 2. Calculate the remainder when i(-12) is divided by 20.
18
Suppose x = 5*x, x = -3*l + 12. Let j(h) = -11 - 7 - 2*h**2 - 13*h + h**2 - l. What is the remainder when 70 is divided by j(-8)?
16
Suppose -3*s = -4*y + 34, y - 4*s = -5*s + 12. Let z be (-53)/((-3)/(-12) + (-9)/24). Let k = -418 + z. What is the remainder when y is divided by k?
4
Suppose -21*g + 23*g + 613 = 3*r, -g - 1010 = -5*r. Calculate the remainder when 207 is divided by r.
6
Suppose 0 = -2*j + 11 - 1. Suppose 0 = -3*d + 3*u + 27, -j*d + 0*u = 2*u - 10. Calculate the remainder when 21 is divided by d.
1
What is the remainder when 475 is divided by (-2700)/(-189) + (-4)/14?
13
Let f = -2689 + 3699. What is the remainder when f is divided by 128?
114
Suppose -4*w = 5*m + 23, -5*m - 3*w + 0*w - 26 = 0. Let f(d) = -d**2 - 9*d - 6. Let r = 53429 - 53408. Calculate the remainder when r is divided by f(m).
5
Suppose -26*d = 64 + 40. Let v(u) = 9*u**2 - 4*u - 16. Suppose 29 = -4*a + 5*a. Calculate the remainder when v(d) is divided by a.
28
Let c(r) = -14*r**2 - 223*r + 21. What is the remainder when 34 is divided by c(-16)?
4
Suppose k - 4*v - 216 = 0, -4*v - 339 = -2*k + 81. What is the remainder when 1611 is divided by k?
183
Let h(i) = -56*i**3 + 6*i**2 + 35*i + 106. What is the remainder when h(-3) is divided by 510?
37
Suppose 11*r + 382 - 1262 = 0. Suppose r = 4*b + 4*h, 2*b + 21 - 65 = 2*h. Let i(d) = d**3 + 8*d**2 - d + 3. What is the remainder when i(-7) is divided by b?
17
Let l = -62 + 64. Suppose 0 = l*v - 4*v + 4. Suppose 5*b - 5*p = 44 + 61, 54 = v*b + 2*p. What is the remainder when 189 is divided by b?
21
Let x = 13 - 7. Suppose 5*s - 7*s = -m - 275, -s = -3*m - 845. Let k = m + 292. Calculate the remainder when k is divided by x.
3
Suppose 21*c = -3*c + 21408. Suppose 155 = -11*q + c. Suppose 4*a - 39 = 97. What is the remainder when q is divided by a?
33
Let z(c) = c**2 + 41. Calculate the remainder when z(0) is divided by 71/5 - 1448/(-1810).
11
Let p = 121 + -118. Suppose 27 = p*q + 3*v, 7*q + 2*v = 3*q + 44. What is the rem