 - 8. Let t be ((-1)/4)/(87/44 + -2). Let h(d) = d**2 - 8*d - 24. What is the remainder when h(t) is divided by i(6)?
1
Let h = -121 + 126. Suppose h*y - 3*p + 11 = 6*y, -2*y = 4*p - 24. What is the remainder when 44 is divided by y?
2
Let a(s) = -8*s - 19*s**3 + 6*s**2 + 9*s + 18*s**3. Let m(b) = 4*b**2 - 7*b - 12. Calculate the remainder when m(5) is divided by a(2).
17
Let b = -9358 + 9399. What is the remainder when 2172 is divided by b?
40
Let j(z) = z**2 + 17*z - 35. Let r be 490/(-25) + 1 + (-7)/5. Let q = 120 + -106. Calculate the remainder when j(r) is divided by q.
11
Let p = 131 - 129. Suppose 3*g + 5*b - 9*b = 110, g + p*b = 40. Let u = g - -1. What is the remainder when u is divided by 8?
7
Suppose 3*u + 18321 = 10*u + 24*u. What is the remainder when u is divided by 39?
6
Suppose -32 = -4*j + 480. Suppose q - a = 3 + 20, 4*q - j = -5*a. Suppose 90 = 15*r - 6*r. What is the remainder when q is divided by r?
7
Let w = -1248 + 1258. Let t = 190 - 111. Calculate the remainder when t is divided by w.
9
What is the remainder when ((-12)/(-36))/(5/5775) is divided by 131?
123
What is the remainder when 6392 is divided by (-60)/(-24) - (-25)/(-20) - (-174)/8?
21
Let d be 6/15*155 - -2. Suppose -3*r + d = -104. Calculate the remainder when r is divided by 15.
11
Let a = 1160 - 777. Let v = -268 + a. Suppose 0*d + 5*d = v. What is the remainder when 81 is divided by d?
12
Let n = -83 - -105. Suppose -q - 5*m + 126 = 0, -3*q + 12*m - 7*m = -478. What is the remainder when q is divided by n?
19
Suppose -572*u + 541*u + 54859 = -36777. What is the remainder when u is divided by 80?
76
Let a = 140 + -142. Calculate the remainder when 22 - -4 - (3 - a) is divided by 6.
3
Let l be (-330)/(-4) - 11/22. Suppose 0*y + 4*y + t - 445 = 0, 4*y - 446 = -2*t. Let c = y - l. What is the remainder when c is divided by 16?
13
Let u = 9 + 211. Calculate the remainder when u is divided by -44 - -50 - (-9 - 10).
20
Let d(g) = -15*g - 526. Let x be d(-35). Let t(w) = -27*w + 2. Let y(i) = i. Let n(h) = t(h) - 2*y(h). What is the remainder when n(x) is divided by 13?
5
Let i = 13312 - 13284. Suppose 0 = -v - 4*v + 970. What is the remainder when v is divided by i?
26
Let o = -110 + 114. Let p be (-4)/(-1) + (2 - o). Suppose -p*s + 142 = 6. Calculate the remainder when s is divided by 12.
8
Let v(w) = w**2 + 5*w + 14. Let i be v(-7). Suppose 4*y + i = 2*h, -4*h + 65 = -4*y + 5*y. Calculate the remainder when 127 is divided by h.
15
Suppose 0 = -5*h + k + 435, 0*h = h + 5*k - 113. Suppose 4*i + h = -4*i. What is the remainder when 1932/18 - (3 - i/(-3)) is divided by 28?
24
Suppose -51 = -h - 3*z, 3*h = 5*z + 28 + 97. Suppose -9*f + 980 = -4*f. Calculate the remainder when f is divided by h.
16
Let h be (2/(-8))/(14/(-56)) - -2. Suppose -5*t + 100 = h*x, -t + 27 = -0*x + 2*x. What is the remainder when t is divided by 7?
3
Let w be -5 + 1 - 1256/(-8). Suppose -111 + w = 3*b. Calculate the remainder when 193 is divided by b.
11
Let r(v) = v**3 + v**2 - 4*v - 3. Let l be r(-2). Suppose b + 4*s + l - 9 = 0, 92 = 3*b - 5*s. Let m = b - 9. What is the remainder when 42 is divided by m?
12
Let r(x) be the first derivative of -13*x**2/2 - 9*x - 312. Suppose f + 15 = 5. Calculate the remainder when r(f) is divided by 31.
28
Let a(q) = -3*q**3 - 179*q**2 + 435*q + 112. Suppose 4*x - 4*k = 1016, -2*x = -6*x + 3*k + 1011. What is the remainder when x is divided by a(-62)?
49
Let n = 30180 - 29923. Calculate the remainder when n is divided by 59.
21
Let a be (-3)/2*2170/(-651). Let l = -17 - -43. Suppose -l = -g + 4*i, i = a*i + 20. What is the remainder when 47 is divided by g?
5
Suppose f - 2*p = 173, -10*p + 9*p + 6 = 0. What is the remainder when f is divided by 27?
23
Let x(w) = 4*w**3 + 84*w**2 - 9*w + 30. Suppose 14 = -60*z - 1246. What is the remainder when x(z) is divided by 55?
54
Let j = 24 + -24. Suppose -m + 15 = -2*o, 5*m + 0*m - 5*o = 50. Suppose 4*t - f - 49 = -j*t, 4*t = -m*f + 67. Calculate the remainder when t is divided by 10.
3
Let g = -79 + -47. Let w = -119 - g. Calculate the remainder when 19 is divided by w.
5
Let f(g) = 58*g**2 + 4*g - 46. Let s be f(7). Suppose -26*b + s + 8148 = 0. Calculate the remainder when b is divided by 25.
22
What is the remainder when (-2 - 3)*(-27537)/1005 is divided by 90?
47
Let u(w) = 46*w. Let a be u(5). Suppose 11*z = -5*z - 9 + 73. Suppose -a = -z*l - l. What is the remainder when 136 is divided by l?
44
Suppose 13*h + 20*h - 308 = 11*h. Let u be (-1)/2 - (-3)/2. What is the remainder when 26 - (u - 2)*-1 is divided by h?
11
Let h be (-5)/(-2)*(3190/50 + -5). Let o = h + 15. What is the remainder when o is divided by 57?
48
Let z be (-208)/(-12) + (-2)/(-3). Let m = -752 + 773. Suppose -z*w = -m*w + 21. Calculate the remainder when 24 is divided by w.
3
Let r = 2436 - 2426. Calculate the remainder when 633 is divided by r.
3
Suppose -4*m + 14 = 2, 4*n + 5*m = -1021. Let z = n - -273. What is the remainder when 123 is divided by z?
11
Let z = -2292 - -2479. Calculate the remainder when z is divided by 50.
37
Let m = 36 - -17. Calculate the remainder when (-2)/5*(-14)/1*(-385)/(-14) is divided by m.
48
Suppose 5*g + 8 = -12. What is the remainder when ((-15)/10)/(12/(-608)) is divided by -8*(4 - 7 - 1/g)?
10
Suppose 5*l = 5, -3*l + 165 = 5*u + 2*l. What is the remainder when u is divided by (5529/388)/((-6)/(-8))?
13
Let q = 3 - -19. Suppose 0 = -6*t + 8*o - 6*o + 450, 355 = 5*t + 5*o. What is the remainder when t is divided by q?
8
Let p(f) = 2*f**2 - 80*f + 15. Let l be p(40). Suppose 0 = 29*m - l*m - 168. Calculate the remainder when 60 is divided by m.
0
Suppose -4*o + 3*o + 16 = b, -20 = -o - 3*b. Suppose 2*k + 0*r + r - o = 0, 0 = r - 4. What is the remainder when 15 is divided by k?
0
Calculate the remainder when -267*(6/(-69) + (-63)/69) is divided by 27.
24
Suppose -353*u + 414*u - 17263 = 0. What is the remainder when 858 is divided by u?
9
Let i = -30 - -39. Suppose 7*p - 518 = 245. Suppose p = r + 3*r - 5*t, 4*t = -4*r + 64. Calculate the remainder when r is divided by i.
3
Suppose -378 - 70 = 4*w. Let g be (-5)/(-15)*9 - 162. Let u = w - g. What is the remainder when u is divided by 8?
7
Suppose x = -103 + 766. Suppose 0 = -39*l + 36*l + x. Calculate the remainder when l is divided by 16.
13
Let s = -4936 + 5503. What is the remainder when s is divided by 6?
3
Let i = -62 - -95. Let p = 107 - i. What is the remainder when p is divided by 450/275 + (-441)/(-33)?
14
Suppose y + 11*o - 762 = 10*o, 3*y = -5*o + 2276. Calculate the remainder when y is divided by 131.
112
Let l(p) = -4*p**2 - 47 + 34 - 5*p + p**3 - 3*p - 6*p**2. What is the remainder when 119 is divided by l(11)?
19
Let a be 16/4 - 7 - (-1604)/4. Let g = -388 + a. Calculate the remainder when 19 is divided by g.
9
Suppose 33*l - 234 = 35*l. Let n(d) = -d + 2. Calculate the remainder when (-428)/(-40) - (l/(-30))/(-13) is divided by n(-3).
1
Let w(f) = f**3 + 7*f**2 + 15*f + 393. Calculate the remainder when w(-9) is divided by 26.
18
Suppose -b + 2*f = -410, -202 = -2*b - 2*f + 600. Suppose 9*k + 1189 = -b. Let p = k + 274. What is the remainder when p is divided by 14?
13
Suppose v = -3*x - v + 627, 0 = v. Let f(y) = y**2 + 78*y + 1163. Calculate the remainder when x is divided by f(-59).
41
Suppose 2332*x = 2328*x + 564. Calculate the remainder when 699 is divided by x.
135
Suppose -3*f + 14*k = 18*k + 186, 0 = 3*f - k + 171. What is the remainder when ((-24)/9)/(-2)*(2 - f) is divided by 12?
8
Let z = 387 + -202. Suppose -8*r = -6*r - 4*w, 5*r = -4*w + 42. What is the remainder when z is divided by r?
5
Suppose 4*j - 7841 = -8*j - 2669. What is the remainder when j is divided by 26?
15
Suppose -6*m = -2*h + 474, -2*h - 274 = m - 713. Calculate the remainder when h is divided by 20.
2
Let x(d) = -660*d + 4652. Suppose 0 = -4*u, -4*z + 0*u = u - 44. What is the remainder when x(7) is divided by z?
10
Suppose 4*q = -5*y + 196 + 46, -228 = -4*q + 2*y. What is the remainder when 203*1 - (q + -58) is divided by 70?
63
Let r(n) = n**2 + 3*n - 7. Let y be r(-10). Let j = y - 33. Calculate the remainder when j is divided by 9.
3
Let m = 35464 + -34188. What is the remainder when m is divided by 9?
7
Calculate the remainder when 71512/(-6)*(-9)/3