.
151
Let t(g) = 203*g + 938. What is the remainder when t(-3) is divided by 174?
155
Let j(m) = 3*m**2 - 15*m + 4. Suppose -41*f + 47*f = -30. Let h(a) = -a**3 - 7*a**2 - 12*a - 5. Let l be h(f). What is the remainder when 10 is divided by j(l)?
2
Suppose n + 26 = 69. Calculate the remainder when n is divided by 94/7 + (-2680)/(-4690).
1
Let m be 1 + -1 - (-48 + 13). Suppose 2627 = m*o + 2*o. Calculate the remainder when o is divided by 17.
3
Let i(c) = -c**3 - 6*c**2 - 7*c - 9. Let u be i(-6). Let y = 201808 - 201646. What is the remainder when y is divided by (2 + -3)/((-1)/u)?
30
Let k(i) = -102*i**2 + 5307*i + 76. Suppose -c + 41 = -0*c + 3*l, -2*c + 96 = -l. What is the remainder when k(52) is divided by c?
44
Let a(t) = 2*t + 6. Let o(b) = 2*b + 6. Let q(d) = -5*a(d) + 6*o(d). Let w be q(5). Suppose -14*y = -w*y + 34. Calculate the remainder when 67 is divided by y.
16
Suppose 4 = -5*m - 0*m + 3*g, -4*m + 3*g = 5. Let b(a) = -23*a + 5. Let o be b(-5). Calculate the remainder when -9 + 6 + o + m is divided by 11.
8
Suppose 111 = -4*p - 3*f, 42 = -p - 6*f + 10*f. What is the remainder when 349 is divided by (13/(-6) - -2)*p?
4
Let z(r) = 1. Let o(a) = -24*a + 10. Let v(y) = 1. Let h(j) = o(j) - 8*v(j). Let i(n) = h(n) - 10*z(n). What is the remainder when i(-14) is divided by 47?
46
Let u be (5 + (-475)/10)*44/(-5). Suppose 17*z - u = -34. What is the remainder when 71 is divided by z?
11
Suppose -4530 + 547 = -7*c. Let r = -526 + c. What is the remainder when 160 is divided by r?
31
Suppose 2*x + 48 = 4*y - 2*x, 3*y - 5*x = 34. Suppose 5*q + 1485 = 5*b, -39*b = -43*b - q + 1188. Calculate the remainder when b is divided by y.
11
Let a = -5149 - -6175. Calculate the remainder when 3094 is divided by a.
16
Suppose -31*i + 1485 = 14*i. Let k be 9/6 - 15/(-10). Suppose -5*b + 18 = -k*b. What is the remainder when i is divided by b?
6
Let g(y) = 2*y**2 + 6*y + 2. Suppose 4*h - 6*c + 4286 = 0, -5*c + 4*c - 2155 = 2*h. Let x = h - -1153. What is the remainder when x is divided by g(-4)?
7
Suppose -5*r + 148 = -2*v - 420, -2*r - v = -229. Calculate the remainder when 788 is divided by r.
104
Let y(s) = -2*s**2 + 50*s - 242. Let q(g) = g**2 - 11*g + 14. Calculate the remainder when y(10) is divided by q(12).
6
Suppose 110 = 5*l + 5*q, 2*l + 49*q = 52*q + 9. Let i(x) = 48*x**3 + x**2 - x + 1. Calculate the remainder when i(1) is divided by l.
4
Let m(o) = -o**3 - 24*o**2 + 34*o + 338. Calculate the remainder when 6553 is divided by m(-25).
112
Let b(d) = 8*d**2 + 10*d + 9. Let u be b(-3). Suppose -u*l + 50*l = -23. What is the remainder when l is divided by 20?
3
Suppose -2*j + 57 = h - 130, -2*j + 160 = 4*h. Calculate the remainder when 1858 is divided by j.
94
Suppose -1486 - 1970 = -6*t. Suppose -25*l + 9 = -22*l, 2*u = -4*l + t. Calculate the remainder when u is divided by 57.
54
Let o(a) = 4*a**3 - 4*a**2 + 2*a + 2. Let k be ((-504)/(-112))/(18/8). What is the remainder when 174 is divided by o(k)?
20
Let k(i) = 373*i - 67. Let d be k(10). Suppose -d + 3726 = 3*v. What is the remainder when 290 is divided by v?
17
Let m(q) = q**3 + 4*q**2 - 12*q. Let z = -11 - -5. Let o be m(z). Suppose -5*t - 35 + 195 = o. Calculate the remainder when t is divided by 20.
12
Let y = 385 - 256. Let n = -49 + 40. Let l = 4 - n. Calculate the remainder when y is divided by l.
12
Let o = 284 - 162. Suppose -80 = -4*c + 220. Let z = o - c. Calculate the remainder when z is divided by 26.
21
What is the remainder when (-19778)/(-29) - (7/2)/((-5)/(-10)) is divided by 335?
5
Let y(o) = -o**2 + 18*o + 279. Let q be (-6)/45 + (-2 - 206/30). Calculate the remainder when 80 is divided by y(q).
8
Let a = 161 - 76. Suppose -6*m = -47 - a. What is the remainder when 37 is divided by m?
15
Let p(f) = f**3 + 4*f**2 - 122*f - 221. Calculate the remainder when 501 is divided by p(-12).
46
Let j(h) = -2*h**3 + 3 + 22*h + 10*h**2 + 2*h - 23*h - h**2. Let z(t) = -96*t. Calculate the remainder when z(-1) is divided by j(3).
30
Let o(c) = 2*c**2 - 75*c + 2180. What is the remainder when o(28) is divided by 17?
16
Let k = 651 - 655. Let l(u) = u**3 + 7*u**2 + 8*u + 2. Suppose -2*v = -r - 143, v + 5*r - 68 = 2*r. Calculate the remainder when v is divided by l(k).
17
Let v(m) = 6*m**3 - 4*m**2 + m + 11. Let h be v(3). Suppose 159*n - 149*n = h. What is the remainder when 82 is divided by n?
12
Let l = -98 - -143. Let n = l + -42. Suppose -5*f + 74 = -2*i, 2*f - n*i + 22 = 4*f. Calculate the remainder when 79 is divided by f.
9
Suppose 5*s + 9 - 209 = 0. Let r = -39 + s. Calculate the remainder when 23 is divided by (1 + 8 + -3)*r.
5
Let m(d) = -15*d + 388 + 355 - 696 + 2*d**2. What is the remainder when m(11) is divided by 18?
16
Let k be 3*(1 + 1 + 2). Suppose k*j - 47 = 289. Calculate the remainder when j is divided by 7.
0
Suppose 5*k - 12 - 8 = 4*b, k - 5*b = 25. Suppose k = -4*f - 10 + 82. Calculate the remainder when 52 is divided by f.
16
Suppose -k - 24*k + 697 = -8*k. Calculate the remainder when k is divided by 25.
16
Let r = 224 + -228. Let h(i) = 2*i**2 - 6*i - 36. Suppose -23 = -4*q + 5*g, -q = 3*g - 5*g - 2. Calculate the remainder when h(r) is divided by q.
8
Let s(j) be the third derivative of 7/20*j**5 + 37/6*j**3 + 0 - 33*j**2 - 1/120*j**6 - 1/24*j**4 + 0*j. What is the remainder when 109 is divided by s(21)?
13
Let y be 762/9 - 1/(-3). Suppose -4 = -86*t + y*t. Suppose 7*r - 3*n - 186 = 2*r, -t*r = 3*n - 165. What is the remainder when r is divided by 20?
19
Calculate the remainder when -1185*(-7 + 492/60)/(-2) is divided by 147.
123
Calculate the remainder when ((-1)/(-2))/(1704/4408674) + 6/16 is divided by 102.
70
What is the remainder when 15*511 + 189/462*22 is divided by 202?
200
Suppose -2*b + 134 = -6*i, -4*b - 4*i + 85 + 215 = 0. What is the remainder when 853 is divided by b?
50
Let o = 2874 + -1602. Suppose 0 = 20*l + 452 - o. What is the remainder when 72 is divided by l?
31
Let v be (-1 - 5015/(-35))*56/16. Let z = v - 126. Calculate the remainder when z is divided by 13.
8
Let l = -75 - -130. Calculate the remainder when (4/8*-2)/1 + l is divided by (-19)/2*(-1 + -1).
16
Let q = 57 + 81. Suppose 117544*r - 1120 = 117488*r. What is the remainder when q is divided by r?
18
Let o(l) = -l**3 - 4*l**2 - l + 1. Let d be o(-4). Suppose c = 2, 0*v + d*c + 50 = 3*v. Calculate the remainder when 12 - (2 + -21 + -7) is divided by v.
18
Suppose -24*k + 1578 + 2580 = 130*k. What is the remainder when 416 is divided by k?
11
Suppose 611 = 13*j + 169. Let o = 239 - 104. What is the remainder when o is divided by j?
33
Let f(r) = -r**3 + 27*r**2 - 34*r + 45. Calculate the remainder when f(25) is divided by 47.
22
Let y = -90 + 104. Calculate the remainder when 134 is divided by y.
8
Let m(d) = -20*d**2 - 7*d - 17. Let u be m(-5). Let c = u + 314. Calculate the remainder when (-2)/(0 + 4/c) is divided by 18.
12
Let b = 10942 - 10895. Calculate the remainder when 324 is divided by b.
42
Suppose o = -1, 3*d - 8*d + 2*o = -82. What is the remainder when 20 is divided by 8/(5*d/120)?
8
Suppose 0 = -2*n - 2*n + 40. Suppose 3*i + 497 = n*i. Suppose 0 = -5*b - 4*w + 67, 29 = 3*b - 2*w - 20. Calculate the remainder when i is divided by b.
11
Suppose -l - 70 = -10. Let d = l - -62. Suppose 2*n = -d*v + 52, -n + 5*v + 5 = -9. Calculate the remainder when n is divided by 11.
2
Let u be 6 + ((-4)/4 - -1). Let a(q) = -q + 13. What is the remainder when (-167)/(-5) + 45/30*16/(-60) is divided by a(u)?
5
Suppose 2*k - 162 = -k. Let i be 1/6 - 59016/(-144). Let b = i - 399. Calculate the remainder when k is divided by b.
10
Let d(n) be the second derivative of -n**5/20 - 5*n**4/6 + 2*n**3/3 + 22*n**2 + 333*n. What is the remainder when d(-11) is divided by 18?
13
Suppose 2*t + t - 2*v - 8 = 0, t = -3*v + 10. Suppose 2*x + 2*o - 7*o + 8 = 0, t*o - 10 = -2*x. What is the remainder when 26 is divided by x?
0
Let r(f) = -f**2 - 2*f + 2. Let y be r(0). Suppose -5*b = 3*a - 581, -4*b - 318 = y*a - 782. Let q = -409 + 449. What is the remainder when b is divided by q?
35
Suppose -7*u + 8*u + n = -104, -3*n = 5*u + 512. Let i = u + 106. What is the remainder when i is divided by 4?
2
What is the remainder when 198 is divided by 2*25/15*(-2160)/(-96)?
48
Let i(l) = 4*l + 7. Let z = 55 + -