 - 3. What is the remainder when i is divided by j?
8
Let q(k) = -k**3 - 34*k**2 - 23*k - 59. Let m be q(-34). Suppose -2*w = -b + 122, 131 - m = -5*b + w. Calculate the remainder when b is divided by 20.
18
Let q = -508 + 535. Let t = -383 + 812. Calculate the remainder when t is divided by q.
24
Suppose j + j = 302. Suppose 24*a = 92*a - 2*a - 1122. Calculate the remainder when j is divided by a.
15
Let s = 6884 - -3995. What is the remainder when s is divided by 85?
84
Let a(b) = -b**2 + 16*b - 2. Let k be a(16). Let q be 1*(k/8*-4 + 21). Calculate the remainder when (q/6)/(1/12) is divided by 23.
21
Let p(f) = 745*f - 24579. Suppose -2*q + 5*q - 309 = 0. Calculate the remainder when q is divided by p(33).
1
Suppose 145 = 4*w - 7. Let r = 35 - w. What is the remainder when r + 44/(-6)*27/(-6) is divided by 12?
6
What is the remainder when (-18)/4*(-6464)/96 is divided by 3 - (-5 + 4)*58?
59
Let x = 33 + -27. What is the remainder when (-1760)/(-66) - 12/(-9) is divided by x?
4
Let g(j) = -7*j**3 + 6*j**2 + 8*j + 2. Let b be g(-1). Suppose -b*c - 19 = -8*c. What is the remainder when 218 is divided by c?
9
Let y = 582 - 582. Suppose -3*i + 2*l + 18 = y, 4*i - 18 = -l - 5. Let d = -6 + 9. What is the remainder when i is divided by d?
1
Let s(j) = 2*j**2 + 30*j - 17044. Suppose -4*h - n = -373 + 110, 0 = 3*n + 15. Calculate the remainder when s(-101) is divided by h.
60
Suppose 0 = -251*x + 1717 + 3814 - 1013. What is the remainder when (-6)/15 - 344/(-10) is divided by x?
16
Calculate the remainder when (34/(-24) - 4/(-6)) + 4518423/1092 is divided by 101.
97
Let n be 100/(-125) - (2 + 147/(-15)). Let t(l) = -l**2 + 10*l - 13. What is the remainder when 126 is divided by t(n)?
6
Suppose 0 = -3*x - d + 1269, -152 = -x - 3*d + 263. Let z = 535 - x. What is the remainder when z is divided by 59?
52
Let b be (-3753)/27 + (1 - 0). Let l = b + 156. Let g = -6 + 13. Calculate the remainder when l is divided by g.
4
Let o = 5280 - 4844. What is the remainder when o is divided by 114?
94
Let a(q) = -155*q - 2319. Let d = -103 - -156. What is the remainder when d is divided by a(-15)?
5
Suppose 218 = p + 200. Suppose -2*u - 2 = -p. Calculate the remainder when 47 is divided by u.
7
Suppose -12 - 3 = -5*q. Let g(t) = 3*t**2 + t - 3. Let f(h) = -h**3 - 6*h**2 + 6*h - 2. Calculate the remainder when f(-8) is divided by g(q).
24
Let x = 616 - 397. Suppose 5*p = -o + 532 - 175, -o = -3*p + x. What is the remainder when p is divided by 1*38 - 0/2?
34
Suppose -33885 - 7090 = -745*k. Suppose 0*t - t = -10. Calculate the remainder when k is divided by t.
5
Let n(i) = -248*i - 15832. Calculate the remainder when (-1648)/(-11) - 2/(-11) is divided by n(-64).
30
Suppose 77*o - 5918 = 2390 + 624. What is the remainder when 1271 is divided by o?
111
Let b(v) = 10*v**2 - 12*v + 36. Let w be b(6). Let a = w - 310. Calculate the remainder when 144 is divided by a.
4
Suppose 2*i - 4*v = -9*v - 8, -3*i + 5*v - 37 = 0. Calculate the remainder when 43 is divided by ((-4)/(-5))/(i/(-90)).
3
Let g(w) = w**3 + 6*w**2 - 24*w - 15. Let f(m) = -8*m**3 - 2*m + 11*m**3 - 4*m**2 - 3*m + 9*m. Calculate the remainder when f(4) is divided by g(-8).
46
Suppose 3*y - 15 = 0, -d + 4*d + 8 = 4*y. Suppose 2*b - 56 = -3*v - 2*v, 3*v = -2*b + 36. What is the remainder when d is divided by 4/v + (-28)/20 + 2?
0
Let j be -2 + -5 - 435/(-15). Suppose -2*r + r + 5*g + j = 0, -3*r + 5*g = -36. Calculate the remainder when 256 is divided by r.
4
Let h(l) = -3*l + 14. Let m(n) = n + 2. Let c(b) = h(b) + 2*m(b). Let j(a) = a**3 + 12*a**2 + 8*a + 2. What is the remainder when j(-11) is divided by c(9)?
8
Let h = -1526 - -1656. What is the remainder when 513 is divided by h?
123
Suppose 2*r + 2*s + 240 = 3*s, -r - 120 = -s. Let h be -6 + (-4 - r) - (0 + 0). Let j = h + -11. What is the remainder when j is divided by 51?
48
Let j be (0 - 1) + 1 + 7. What is the remainder when ((-21)/9 - -3)*42*j is divided by 20?
16
Calculate the remainder when (-41394)/(-24) + (2 - 4)*12/32 is divided by 23.
22
Let y = 4017 + -3958. Calculate the remainder when 338 is divided by y.
43
Let o(q) = q**2 + 37. Let f = -355 - -347. What is the remainder when o(f) is divided by 43?
15
Let z(d) = d**2 - 2*d - 3. Let w(r) = -10475*r - 10441. Calculate the remainder when w(-1) is divided by z(-4).
13
Suppose 2111 = 20*d + 1865 - 13954. Calculate the remainder when d is divided by 20.
10
Suppose 383 - 73 = -5*h. Let r = h - -99. What is the remainder when 67 is divided by r?
30
Calculate the remainder when 1015 is divided by (-10)/3*(-18)/12 - (-109 - -1).
111
Suppose -3*i + 2*y = -22, 6*i - 5*y - 5 = 11*i. Suppose 4 = i*d - 32. What is the remainder when 51 is divided by d?
6
What is the remainder when (2319/(-12))/(8/28 - (-165)/(-504)) is divided by 11?
7
Suppose 0 = -2*g - 4*x + 300, 4*g + 5*x - 610 = 2*x. What is the remainder when g is divided by 26?
24
Let v = -2890 - -3438. Calculate the remainder when v is divided by 223.
102
Let a(z) = -z**3 + 12*z**2 - 10*z - 7. Let x be a(11). Suppose d + 40 = x*i, 4*i + d = i + 30. Let b = 317 - 220. What is the remainder when b is divided by i?
7
Let q = 323 + -263. Suppose -15*z + 11*z + 36 = l, q = 4*l - 5*z. What is the remainder when 255 is divided by l?
15
Suppose -4*n = 4*c - 8, 5*n + 3*c + 3*c - 6 = 0. What is the remainder when 322 is divided by n?
4
Let d(b) = b**2 + 37*b - 1629. Calculate the remainder when d(35) is divided by 20.
11
Let c = 1230 + -1755. Let m = c + 539. What is the remainder when 400 is divided by m?
8
Calculate the remainder when 365 is divided by 7/(-70) + -39*(-21)/90.
5
Suppose -1237 + 4306 + 10705 = 71*w. Calculate the remainder when w is divided by 19.
4
Let j(w) = 21*w**2 + 14*w + 10. Calculate the remainder when j(-8) is divided by 25.
17
Let m = -7 + 32. Let t = 36 - m. Suppose -3*g = 0, -4*g = -5*p - 0*g + 90. What is the remainder when p is divided by t?
7
Calculate the remainder when 413 is divided by ((-115)/(-30) - 4)/((-3)/9)*186.
41
Let u be ((-60)/(-16))/((-3)/(-140)). Suppose -u = -5*f + 5*j, f = 3*f + j - 82. Let l = 42 - f. What is the remainder when 5 is divided by l?
2
Suppose 2*i + 14*l - 143 = 17*l, 0 = 5*l + 15. Calculate the remainder when 735 is divided by i.
65
Let i(n) = n**3 - 8*n**2 + 9*n - 11. Let r be i(7). Suppose 0*b + 3 = 2*b - 5*g, 5*b + r*g - 85 = 0. Calculate the remainder when 68 is divided by b.
12
Let m(l) = -12*l**2 - 8*l + 18. Let t be m(4). Let o = -193 - t. What is the remainder when 2/2*3*17 is divided by o?
12
Suppose -5*x + 829 = -y, x + 31 - 192 = -y. What is the remainder when 284 is divided by x?
119
Suppose 18 = -0*a + a. Let v = -257 + 267. Suppose -2*i = 3*y - 152, -146 = -3*y - 15*i + v*i. Calculate the remainder when y is divided by a.
16
Suppose -2*p - 4*d = -3124, 0 = -3*p + d - 812 + 5554. Calculate the remainder when p is divided by 199.
185
Suppose 17 = 3*s - 28. Let g = 946 - 915. What is the remainder when g is divided by s?
1
Suppose 39*k - 37*k = -156. Calculate the remainder when 139 is divided by -2 + 5 + k/(-6).
11
Suppose 8*r - 4886 = -1782. Let q = -342 + r. What is the remainder when 163 is divided by q?
25
Suppose 2*a - 6 - 24 = 0. Suppose -800 = 570*y - 730*y. Calculate the remainder when a is divided by y.
0
Let u = 600 + -28. Let h = u + -531. What is the remainder when 54 is divided by h?
13
Let j(q) be the second derivative of -q**4/6 - 19*q**3/3 - 3*q**2 + 20*q - 1. Calculate the remainder when j(-16) is divided by 31.
28
Let f = -334 + 611. What is the remainder when f is divided by 72?
61
Suppose -4*b + g + 432 = 0, -9*b = -6*b - 4*g - 324. Let u be (135/54)/(-1 - (-110)/b). Suppose 2*l = -7*l + u. What is the remainder when 70 is divided by l?
10
Let s = -16 + 28. Suppose -3*p + s = p - 4*y, 3*p + 4*y = 2. Suppose p*v = v + 36. What is the remainder when v is divided by 20?
16
Suppose 15 = 3*f, 4*f + 32 - 92 = -2*u. Let o = 1322 - 703. What is the remainder when o is divided by u?
19
Let w(q) = q**2 - 6*q - 37. Calculate the remainder when 6602 is divided by w(-5).
14
Suppose 10*u - 27 = 7*u. Suppose 35 + u = 4*g. Let x(d) = d + 9. Calculate the remainder when g is divided by x(-6).
2
Suppose 13*b - 426 = 7*b. Suppose 107*p - 1964 = 2102. What is the remainder when b