55. What is the remainder when 7364/119 - n/(-51) is divided by 11?
7
Suppose -18*s - 2*j + 1360 = -15*s, 5*s - 2274 = 4*j. Suppose -5*b = -a - 575, 3*b - 343 = 2*a - a. What is the remainder when s is divided by b?
106
Let m(c) = 11*c + 425. Let o be m(-27). Calculate the remainder when o/((-3)/(-10) + 6/30) is divided by 24.
16
Calculate the remainder when (36*12/(-96))/((-4)/47752) is divided by 33.
30
Calculate the remainder when ((-504)/(-49))/(-12) + (-3464)/(-7) is divided by 17.
1
Let x = 3568 - 3540. Let t be 11 + -3 + (-2)/(-1). Let s(d) = -d**2 + 11*d + 1. Calculate the remainder when x is divided by s(t).
6
Let b = 47 + -35. What is the remainder when 215*(3/4)/((-190)/(-152)) is divided by b?
9
Let q(a) = -129*a - 183. Calculate the remainder when 214 is divided by q(-2).
64
Suppose 4*s = 4, 4*b + 5*s - 927 = -86. What is the remainder when b is divided by 105/2 - 2/4?
1
Calculate the remainder when (23/(-2))/(139/(-137054)) + (1 - 0) is divided by 214.
212
Let y(m) = -3*m**2 - 10*m - 9. Let p be y(-4). What is the remainder when (-84)/((-2)/(-4)*-3) is divided by -2 + (7 + -6)/((-1)/p)?
11
Suppose -5*k + 519 = z, -5*k + 666 - 131 = 5*z. Calculate the remainder when k is divided by (1 + 52/(-16))/(3 + (-1168)/192 - -3).
22
Suppose -3*k + 32 = 8. Let g = -317 + 324. Let f = g + -5. Calculate the remainder when k is divided by f.
0
Let o = -131 + 42. Let g = o - -202. Let m = g - 100. What is the remainder when 51 is divided by m?
12
Suppose 5*y - 150 = 2*v, 15*v = 6*v + 6*v. What is the remainder when 688 is divided by y?
28
Suppose 0 = 4*w - 5*s - 31 - 30, -3*s = -5*w + 86. Suppose -7*h = -w*h + 420. What is the remainder when 99 is divided by h?
29
Suppose 14*x + 0*x - 84 = 0. Let b = x + 109. What is the remainder when b is divided by 24?
19
Let u(o) = -6*o**3 - 5*o**2 + 34*o + 134. What is the remainder when u(-5) is divided by 44?
17
Suppose -14*v + 9*v + 5*c = -160, 4*v - 138 = -c. Calculate the remainder when (66/9)/((-1)/(-9)) is divided by v.
32
Let o = 3303 - 2030. Calculate the remainder when o is divided by 314.
17
Let d be (-1)/2*0 + (7 - -1). Let o = d - 3. Suppose 2*h = -8, 3*f - f = o*h + 38. What is the remainder when 35 is divided by f?
8
Suppose -10*t + 5 = -5*t. Let z be ((-8)/16)/(t/(-2)). Suppose 9 + z = g. What is the remainder when 47 is divided by g?
7
Let l = 1597 + -1641. Calculate the remainder when -116*-3*(-1)/(-4) is divided by l/(-16)*(48/(-6))/(-1).
21
Let h be 113 + 4/10 + (-72)/(-120). Let r = -87 + h. What is the remainder when 34 is divided by r?
7
Let z(b) = b**3 + 6*b**2 - 4 + 888*b - 902*b + 5. Let x be z(-8). Let d = 49 + x. Calculate the remainder when d is divided by 5.
4
Suppose -3*w + 7*x = 5*x - 1846, x = -2*w + 1240. Suppose -o = 4*u - 2*u - w, -1251 = -2*o - u. Calculate the remainder when o is divided by 15.
13
Let r(u) = 8*u**3 - 2*u**2 - 19*u. Let v(q) = -7*q**3 + 2*q**2 + 17*q - 1. Let j(l) = -5*r(l) - 6*v(l). What is the remainder when 45 is divided by j(3)?
3
Suppose -27*z = -21*z - 3252. Let g = z - 534. What is the remainder when 22 is divided by g?
6
Suppose -2*u = 4*j - 3172, 677*j - 826 = 676*j + 5*u. Calculate the remainder when 1592 is divided by j.
0
Let u(h) = 16*h + 19. Let m be u(13). Suppose 4*x - m = 29. Calculate the remainder when 255 is divided by x.
63
Let q = 238 + -233. Suppose q*g + 868 = 9*g + 4*m, -m = -5*g + 1109. What is the remainder when g is divided by 4?
1
Let g be (1 - (-15)/(-21)) + 2340/140. Let c = -6 + g. Calculate the remainder when 30 is divided by c.
8
Let p(r) = r**3 + r**2 - 4*r + 3. Let k be p(2). Suppose 2*h + 360 = k*h. Let q = -21 + h. Calculate the remainder when q is divided by 14.
9
Suppose 6*b - 10*b - 4*t = -1540, -2*t = 3*b - 1156. Calculate the remainder when b is divided by 26.
22
Suppose -17*k = -6*k. Suppose -4*f + 91 = 4*b + b, k = 4*f + 3*b - 101. What is the remainder when 81 is divided by f?
23
Let t be (-1)/((-4)/(-84)) - -3. Let z = -2 - t. What is the remainder when 49 is divided by z?
1
Suppose 4 = -14*p + 32. Suppose -9*c + 2512 = 5*g - 6*c, -p*g + 5*c = -1011. Calculate the remainder when g is divided by 36.
35
Suppose -5*j + u = -2616 - 997, -5*u - 1459 = -2*j. Calculate the remainder when j is divided by 178.
10
Suppose -21*o = -1639 + 316. Calculate the remainder when 105 is divided by o.
42
Let m = 17 - 23. Let v be (m/(-3) - -1) + -2. Calculate the remainder when 42 is divided by (-392)/(-18) - -4*v/18.
20
Calculate the remainder when 658 is divided by 211753/1605 - 2/(-30).
130
Let f(r) be the third derivative of -r**4/2 - 43*r**3/2 - 32*r**2 - 1. What is the remainder when 101 is divided by f(-12)?
11
Let c(p) = 81*p**2 + 50*p - 2. What is the remainder when c(-7) is divided by 51?
47
Suppose 3*p - 4*z = 521 + 535, 2*p - 681 = -5*z. Calculate the remainder when p is divided by 327.
21
Let r(l) = -l**3 + 6*l**2 + 15*l - 55. What is the remainder when 1819 is divided by r(4)?
6
Let q = -13339 + 13422. What is the remainder when 283 is divided by q?
34
Suppose -2*n - 3*i = -23 + 6, -n + 10 = 2*i. Suppose -5*r - 5*d = -645, d = -0 + n. What is the remainder when r is divided by 42?
41
Let k(j) = 22*j - 6. Let f be k(3). Suppose -5*s + 3*s + f = 0. Calculate the remainder when s is divided by 18.
12
Let d(i) = 67*i - 4431. What is the remainder when 406 is divided by d(72)?
13
Suppose 0 = 2*z - 28 - 26. What is the remainder when 7/((-126)/(-4)) + 372/z is divided by 7?
0
Suppose 2*o = 4*p + 82, 0 = 21*o - 26*o + 3*p + 247. What is the remainder when 780 is divided by o?
38
Let k = 15654 - 15007. What is the remainder when k is divided by 78?
23
Let k(s) = -s**3 - 7*s**2 - 17*s + 36. Calculate the remainder when k(-5) is divided by (2 + (-58)/2)/(-1).
17
Suppose 66 = 4*r - 3*q - 109, 0 = r - 5*q - 65. Suppose 0 = -21*h + 19*h + r. Calculate the remainder when 88 is divided by h.
8
Suppose 0 = -154*p + 150*p + 12. Let k be ((-54)/21*-1)/(p/21). What is the remainder when (21 + 2)/(2/k) is divided by 52?
51
Suppose -19891 + 3427 = -98*q. What is the remainder when q is divided by 58?
52
Suppose -2*m + 0*m = 4*j - 1012, -2024 = -4*m - j. Suppose m = -14*t + 36*t. Calculate the remainder when t is divided by 6.
5
Let p(y) = 2*y**2 + 57*y - 14. Let k be p(-29). What is the remainder when 155 is divided by k/10 - (-126)/12?
11
Let c(w) = 5*w + 11*w**2 - w**2 + 15*w**3 - 10*w**3 - 2*w**3 - 2*w**3 + 3. What is the remainder when 155 is divided by c(-9)?
38
Suppose 5*q = 5*h - 1305, -14*q + 9*q = -2*h + 525. Let u = h - 240. Let s = 16 - 9. What is the remainder when u is divided by s?
6
Suppose 18*i - 14414 + 14072 = 0. Calculate the remainder when 1394 is divided by i.
7
Suppose 0 = n - 5*q - 53, 3*n = -n + q + 136. Suppose -137*x = -140*x + 66. Calculate the remainder when n is divided by x.
11
Let n(d) = -14*d - 17. Suppose 5*m + 29 = -1. Let o(v) = 3*v**2 + 12*v + 8. What is the remainder when n(-7) is divided by o(m)?
37
Calculate the remainder when 54 is divided by 14/(-7)*((-42)/(-8) - 5)*-18.
0
Calculate the remainder when -1 + 277*(-10 + 11) is divided by 69.
0
Let v = -245 - -223. What is the remainder when v*(-4)/(6 + -2) is divided by 2?
0
Suppose -20 + 88 = 17*a. Suppose -8*k + a*k + 100 = 0. What is the remainder when 124 is divided by k?
24
Suppose -4*n = 3*w - 2888, 169 = -2*w - 5*n + 2085. Let j(p) = -p**3 - p**2 - p + 24. Calculate the remainder when w/14 + 35/(-245) is divided by j(0).
21
Let s = 133 + -131. Let h(y) = 2 - 301*y + 5*y**s - 5 + 298*y - 8. Calculate the remainder when h(4) is divided by 15.
12
Let z be 1 + -19*(-5 - -1)/4. Suppose -114 = -5*b + 2*w, -5*b + 18*w - z*w + 106 = 0. What is the remainder when 58 is divided by b?
14
Let s = -118 + -90. What is the remainder when 51 is divided by (9/(-6) - -3)/((-24)/s)?
12
Let o(j) = 2*j**2 - 7. Let y be o(4). What is the remainder when 1/(105/51 + -2) is divided by (40/y - 1)*15?
8
Let h(q) = 4*q**2 - 11*q - 26. Calculate the remainder when h(6) is divided by -8 + 1 + 1 + 17.
8
Let r be 557*(-5)/15 + (-4)/(-6). Let q be (256/(-5))/(74/r). Suppose 2*u + 1 = 3*u, 5*u = -3*d + q. What is the remainder when d is divided by 6?
5
Let y(s) = s**2 - 11*s + 17. Let z be y(11). Suppose -3*d - z - 10 = 0. Calculate the remainder when 73 is divided by 