4. What is the remainder when 990 is divided by s?
10
Let p be (-4)/18 - 2018/(-9). Suppose r = 3*r - p. Let b = -1987094 - -1987117. What is the remainder when r is divided by b?
20
Let h(q) = q**2 - 17*q + 426. What is the remainder when h(23) is divided by 188?
0
Let w(d) = -d - 17. Let f(z) = -z**2 + 3*z - 2. Let k be f(2). Let v be w(k). Let s = v + 38. Calculate the remainder when 94 is divided by s.
10
Suppose -12*x + 1059 + 521 = -604. What is the remainder when x is divided by 108?
74
Suppose 8 - 1 = -5*g + t, -g = -3*t + 7. Let v(d) = 3*d**2 + 10*d**2 - 4 - d - 2*d. What is the remainder when 21 is divided by v(g)?
9
Suppose 2*u = 5*w + 1, -u + 19 = 4*u + 4*w. Let r = -5 - -8. What is the remainder when (u/3)/((-5)/(-70)) is divided by r?
2
Suppose 11*v = 61 - 17. Suppose 9774 = v*p + 23*p. What is the remainder when p is divided by 119?
5
Let x(g) = -g**3 + 2*g**2 + 5*g - 6. Let t be x(3). Suppose -16*w + 138 + 902 = t. Calculate the remainder when w is divided by 7.
2
Let p(j) = j**2 + 8*j - 28. Suppose 6*n = 20 + 28. Suppose -n*f = 82 + 30. What is the remainder when p(f) is divided by 20?
16
Suppose 953 = 15*m - 2407. Suppose 4*j - 22*a = -24*a + 224, -3*a + m = 4*j. What is the remainder when j is divided by 6?
2
Calculate the remainder when 8380 is divided by ((-3302)/(-2032))/((-3)/(-120)).
60
What is the remainder when 23/(-138) - (2 - 517/6) is divided by 16?
4
Suppose a + 3*k = 4 + 35, -4*k = -3*a + 156. What is the remainder when 236 is divided by a?
44
Calculate the remainder when 752 is divided by 1/(-3) + 5484*(-24)/(-864).
144
Let c(f) = 34*f**2 - 1. Let h = 67 + -64. Suppose p - 125 = -h*y, -10*y = 3*p - 14*y - 401. Calculate the remainder when p is divided by c(-1).
32
Let b = 1 - 4. Let o = 12 + b. Let z(d) = d**3 - 12*d**2 - 172*d + 2046. What is the remainder when z(11) is divided by o?
6
Let j = -1199 - -1269. Suppose 2*m - 71 = -5*i, 6*i = 4*i + 5*m + 11. Calculate the remainder when j is divided by i.
5
Suppose 0 = 2*t - 94 - 142. Let k(h) = -11*h**2 + 20. Let c be 2*3/2 - 3. What is the remainder when t is divided by k(c)?
18
Let g(q) = -43*q + 4. Suppose -158*x = -166*x + 288. What is the remainder when g(-3) is divided by x?
25
Let u(k) = -k**3 + 16*k**2. Let l be u(16). Suppose l = 5*s - 3*z - 15, -s - 3*z - 2*z = -3. What is the remainder when 18 is divided by ((-8)/(8/(-4)))/(s/6)?
2
Let b = 263 - 252. What is the remainder when 339 is divided by b?
9
Let g(p) = 2*p**2 + 32*p - 50. Let y be ((-8)/(-2) - 3)*4. Suppose -3*c + 11 = -y*f - 9, -3*c = -5*f - 16. Calculate the remainder when g(-18) is divided by c.
10
Let i be 9/9 + 1 + -3. Calculate the remainder when 341 is divided by (-53)/(-3) - i - (-10)/30.
18
What is the remainder when 1576 is divided by 8 + 1387/(-171) - (-1552)/36?
28
Let z(v) = v**3 + 6*v**2 - 11*v - 12. Let q = 112 + -118. What is the remainder when z(q) is divided by 10?
4
Let l be -4 - (8/(-4) - -226). What is the remainder when l/36*(0 - 3) is divided by 4?
3
Let n(x) be the first derivative of 3*x**2/2 - 2*x - 13. Let c be n(1). What is the remainder when c + (-36)/30 - 506/(-5) is divided by 17?
16
Let i(t) = -t**3 + 28*t**2 + 74*t - 288. What is the remainder when 519 is divided by i(30)?
123
Suppose 5*y - 1354 = 8*y - z, -5*y + 4*z - 2266 = 0. Let u = 526 + y. What is the remainder when u is divided by 60?
16
Let b be 6 + (-19)/3 - 28/6. Calculate the remainder when 477 is divided by b*(-18)/60*(-128)/(-6).
29
Let n = 934 + -697. What is the remainder when n is divided by 28?
13
Suppose 0 = d + 4*s - 13 + 41, 2*d + s = -21. Let l(n) = -n**2 - 10*n - 8. Let p = 6 + 21. Calculate the remainder when p is divided by l(d).
3
Suppose -13*o + 58*o - 2277 = 1413. Calculate the remainder when 281 is divided by o.
35
Let l(m) = -37*m + 811. What is the remainder when l(21) is divided by 6?
4
Suppose 3*g = 5*d + 545, 3*g + 4*d = 295 + 241. Suppose 64 = -s + 5*s + 4*z, -5*z = 3*s - 54. What is the remainder when g is divided by s?
11
Suppose -25*a = -973 + 198. Suppose -14*b + 11*b = -741. Calculate the remainder when b is divided by a.
30
Let v(g) = -2*g**3 - 47*g**2 - 23*g + 18. What is the remainder when 2859 is divided by v(-23)?
15
Let u be -1*2/3*(3 - (-54)/6). Suppose -32 = 5*f + o, 8*o - 3*o = -3*f - 28. What is the remainder when 63 is divided by (-108)/u + 3 - 3/f?
12
Suppose -10*h + 11*h - 4*y = 49, 14 = h + 3*y. Calculate the remainder when 867/6 + 2/(-4) is divided by h.
28
Suppose -7*k = -11*k + 268. Let n = k - 52. What is the remainder when n is divided by 2/(-1)*(-4 - 0)?
7
Calculate the remainder when (-441)/(-15)*10080/54 is divided by 42.
28
Let l(q) = -2*q**2 - 27 - 14 - 23*q + 10 + 12*q. Let n be l(-13). What is the remainder when 124 is divided by n/(-16) + 2/(-16)?
12
Suppose 0 = -453*w + 666*w - 61131. What is the remainder when w is divided by 192?
95
Let b = 9 - 4. Let h be -1*(-3 - (b + -3)). Suppose -h*p + 5 = -30. Calculate the remainder when 25 is divided by p.
4
Let j be 37/(-555) + 2276/(-60). Let g(n) = -8*n**2 + n - 1. Let m be g(2). Let w = m - j. What is the remainder when w is divided by 1?
0
Let f(u) be the second derivative of u**4/12 - 4*u**3/3 - 3*u**2 + 505*u. Let h = -7 - -17. Calculate the remainder when f(h) is divided by 13.
1
Suppose -520*q - 3411 = -22651. Calculate the remainder when 1508 is divided by q.
28
Calculate the remainder when (32/(-24))/((-24)/3510) is divided by 52.
39
Let s(o) be the third derivative of 7*o**4/8 - 14*o**3/3 - o**2 + 4. Calculate the remainder when 38 is divided by s(2).
10
Suppose -27*f + 984 = -177. What is the remainder when 210 is divided by f?
38
Let l = 371 - 155. Suppose 21*u = 12*u + l. What is the remainder when 135 is divided by u?
15
Let g = -114 - -170. Suppose -347*r = 114*r - 83*r - 71442. Calculate the remainder when r is divided by g.
21
Suppose -y = 3*v + v - 85, 3*v = 5*y + 104. Let m = 265 - 106. Calculate the remainder when m is divided by v.
21
Let n(p) = 19*p - 1. Let x = -18103 + 18261. Calculate the remainder when x is divided by n(1).
14
Suppose 585*m - 580*m - 10 = 5*u, -4*m = -3*u - 15. What is the remainder when 391 is divided by m?
4
Suppose d - 4*p = 164, 2*d - 3445 = -2*p - 3177. Let a(l) = -2*l**3 - 3*l**2 - 5*l - 2. Calculate the remainder when d is divided by a(-3).
20
Let p(f) = -f**2 - 136*f + 1056. What is the remainder when 172 is divided by p(7)?
7
Let p(g) = 10*g**2 - 477*g - 124. Calculate the remainder when 443 is divided by p(48).
3
Let h(f) = 62*f + 4971. What is the remainder when h(-74) is divided by 97?
92
Let d = 4660 - 12832. What is the remainder when 8/(-14) + d/(-42) is divided by (71 + -70)*2/10 + (-488)/(-10)?
47
Let h(w) = 3*w - 61. Let y be h(-13). What is the remainder when (46/4)/((-50)/y) is divided by (-1 - -13)/(-3)*-2?
7
Suppose 35 - 167 = -4*t. What is the remainder when t is divided by 27/(1485/(-10)) - (-505)/110*2?
6
Let c(l) = 22*l**2 - l + 196. Calculate the remainder when 587 is divided by c(0).
195
Let p(z) = z**3 + 70*z**2 + 83*z + 2391. Calculate the remainder when 17989 is divided by p(-68).
4
Suppose -2*s - 4*b = -108, 3*s + 0*b - 172 = 4*b. Suppose -4278 = -179*l - 877. Calculate the remainder when s is divided by l.
18
Let i(s) = 2*s**2 + 82*s + 1583. What is the remainder when i(-50) is divided by 824?
11
Suppose 441*a - 10124 = 438*a - 2*v, 4*v - 10132 = -3*a. What is the remainder when a is divided by 15?
12
Let d be 0 + 3 - -3 - (3 + -5). Suppose -5*j + 9 = -6. Let f = j + d. What is the remainder when 31 is divided by f?
9
Suppose -197*y = -200*y - 571 + 2338. Calculate the remainder when y is divided by 36.
13
Suppose -3*x + 9 = y, x - 2*y = -x + 14. Suppose 10*a - 222 = x*a. Let u = -75 - -184. What is the remainder when u is divided by a?
35
Let o(b) = 2*b**3 + 10*b**2 - 14*b - 26. What is the remainder when 14782 is divided by o(-5)?
42
Suppose 1097 = 2*a + n, -30*n - 2179 = -4*a - 27*n. What is the remainder when a is divided by 92?
87
Let c(v) = -135*v + 30. Let r be c(4). Let o = r - -649. Calculate the remainder when o is divided by 14.
13
Let u(c) = 38*c - 178. Calculate the remainder when 99 is divided by u(7).
11
Let s = -3046 + 3548. Calculate the remainder when s is divided by 9.
7
Calculate the remainder when 110 