e remainder when (23562/(-84) + 3)*((-1)/(-5) + -1) is divided by 54.
6
Suppose -w + 16 = -3*i, -4*w + 4*i = -28 - 4. Let k be ((-2)/3)/(4/6 + -1). Let c = 27 + k. What is the remainder when c is divided by w?
1
Let f(j) = 23*j. Let z(s) = -24983*s + 125025. What is the remainder when z(5) is divided by f(4)?
18
Suppose 0 = s + 4*g - 408, 4*s - 1576 = -0*g - 2*g. Let q = s - 345. What is the remainder when 843 is divided by q?
44
Suppose 5*v - 241*b - 6035 = -246*b, -2*v + 2399 = -3*b. What is the remainder when v is divided by 15?
4
Let j = 13154 - 12703. What is the remainder when j is divided by 437?
14
Let n be ((-4)/(-8) + -1)*-54. Suppose -v + n = -0*v. Let r(c) = c**2 + 12*c - 37. What is the remainder when r(5) is divided by v?
21
Let o be -2 - 100/(-45) - (-274)/(-18). Let m = o - -18. Suppose m + 213 = 8*g. What is the remainder when 49 is divided by g?
22
Let m(y) = -y + 7. Let s be -1*2*5/10*-1. Let o be m(s). Calculate the remainder when 380/12*(o - 3) is divided by 24.
23
Let c(a) = -8*a - 254. Let m be c(-32). Suppose 18*k - 21*k - 33 = -3*v, -k + 22 = m*v. What is the remainder when 46 is divided by v?
2
Let t(c) be the first derivative of -c**3/3 + 16*c**2 - 175*c - 137. What is the remainder when 670 is divided by t(21)?
54
Suppose 4*h - 5*o - 257 = 46, -236 = -3*h + 2*o. Calculate the remainder when 231 is divided by h.
67
Let k(u) = -15*u**2 + u + 5. Let i be k(3). Let d = -89 - i. Suppose 0 = -4*y - 5*l + d, 1 + 2 = -y + 5*l. What is the remainder when 33 is divided by y?
5
Calculate the remainder when (-448)/6*(2 + -9 + (-24)/(-6)) is divided by 54.
8
Let z = -99 - -164. Suppose 10 = -v + 5*h, -4*v = -h - 1 - 16. Suppose 4*a + 4*i - 72 = 2*i, -i = -v*a + 83. What is the remainder when z is divided by a?
14
Let f(q) = 53*q + 104. Calculate the remainder when f(25) is divided by 713.
3
Let d = -49 + 49. Suppose 5*t - 69 = 2*a + 136, d = 2*a + 10. What is the remainder when 134 is divided by t?
17
Let m(d) = -d + 8. Let a be (1 - 44/4)/(-2). Suppose 0*b - b = 3, a*w - 88 = -4*b. What is the remainder when w is divided by m(-3)?
9
Let k(s) = s**3 + 5*s**2 - 14*s + 2. Let x be k(-7). Suppose 4*y + x*q - 32 = 0, 3*y - 4 = -5*q + 34. Calculate the remainder when 20 is divided by y.
2
Let m(c) = -51*c + 1123. Calculate the remainder when 54 is divided by m(21).
2
Let n = 479 - 479. Suppose -5*m - 93 = -2*r, -5*m - 1 + 6 = n. Calculate the remainder when 96 is divided by r.
47
Suppose -5*b + x + 3*x - 299 = 0, -173 = 3*b - 4*x. Let t = b + 66. Calculate the remainder when (27/(-18))/(t/(-44)) is divided by 3.
1
Let u(o) = -29*o + 127. Let j be u(7). Let d = -62 - j. Calculate the remainder when 109 is divided by d.
11
Let l be (3 - 0 - 11)*358/(-4). Let o = -357 + l. Calculate the remainder when o is divided by 15.
14
Let z(m) = m**3 + 26*m**2 - 30*m - 19. Let q be z(-27). Let j = q - 45. What is the remainder when 46 is divided by j?
12
Let i be (137 + 1 - 9) + 1 + -3. Let p = 146 - i. Suppose 0*n + 4*q - 6 = -2*n, 1 = n + 3*q. Calculate the remainder when p is divided by n.
5
Suppose -3*q + 16*m - 13*m + 2949 = 0, -5*q + 2*m + 4912 = 0. What is the remainder when 1977 is divided by q?
13
Let g(f) = f**2 + 13. Let s be g(0). Suppose 5 = -2*t - 5*h - 1, 16 = 3*t - 5*h. Let p = t + s. Calculate the remainder when 58 is divided by p.
13
Suppose v - 2*b = 2142, 4778 + 1645 = 3*v - 5*b. What is the remainder when v is divided by 214?
210
Let o = -551 + 772. Suppose 10*j = 512 + 598. Calculate the remainder when o is divided by (25/(-75))/(0 + (-1)/j).
36
Let h be 3/(70/(-588)*(-2)/5). What is the remainder when h*2/6 + 2 is divided by 11?
1
Suppose -12 = -2*p - 2*p. Suppose 20 = p*i - 34. Suppose 44*b + 4375 = 169*b. Calculate the remainder when b is divided by i.
17
Let f(w) = w - 20. Let x be f(14). Let k be 4/x + ((-80)/(-12))/10. Suppose -l + 8 = q, -5*l = -5*q - k*l + 50. Calculate the remainder when 61 is divided by q.
7
Suppose -7192 = 207*x - 27271. Suppose -2*w + 1 = -17. Calculate the remainder when x is divided by w.
7
Let t = -40 - 6. Suppose 31 = 4*q + 11. Calculate the remainder when 2/6 - t/6 is divided by q.
3
Let v = 27639 + -27624. Suppose -3*z + 57 = 5*t - 72, t = 3*z - 129. What is the remainder when 1/(3 - 2)*z is divided by v?
13
Let o be (-2)/8 - 9135/(-60). Let j = o + -132. What is the remainder when 91 is divided by j?
11
Let u = 13 + -31. Let y be -1 + -7 + (-7 - -9). Calculate the remainder when y/(u/39)*4 is divided by 14.
10
Let a = 82 - 83. Let l be -4 + (38 - -3) + a. Suppose 2*r - 40 = -4*m, -3*r - 3*m + 9 + l = 0. What is the remainder when 33 is divided by r?
3
Suppose -2*u = 2*u + 60. Let j(m) = -2*m + 39. Calculate the remainder when j(u) is divided by 12.
9
Let u(a) = a**3 - a**2 + a + 10. What is the remainder when (-564)/705*(-56 + 3 + -2) - 8 is divided by u(0)?
6
Calculate the remainder when 25285 is divided by (116*(-3)/(-18))/((-74)/(-111)).
26
Let r(z) = 4*z**2 - 27*z - 3. Let x be r(8). Suppose -132*l = -133*l + x. Calculate the remainder when l is divided by 35.
2
Let y(j) = 49*j**2 - 20*j + 4. Calculate the remainder when y(-1) is divided by 36.
1
Let j = -23 + 2. What is the remainder when (-2070)/j + (-88)/154 is divided by 50?
48
Let k = 2966 + -2103. What is the remainder when k is divided by 9?
8
Let o(m) = -30*m + 3098. Calculate the remainder when 871 is divided by o(102).
35
Let q = -2467 - -2696. Calculate the remainder when q is divided by 28.
5
Let u(y) = -14*y + 554. What is the remainder when 2109 is divided by u(35)?
61
Let t(x) = -7*x + 100. Let u be t(14). Suppose -16*n + 18*n = -u*v + 32, 0 = -5*n + 4*v + 80. What is the remainder when n is divided by 4?
0
Suppose 5*f + 194 = 3*j, -2*j - 53*f + 122 = -49*f. What is the remainder when 135 is divided by j?
9
Let f be (-3 + 5/2)*-2. Calculate the remainder when (318/(-9))/((-14)/(-63)*-3) is divided by 1 + 2 - (-14 - f).
17
Suppose 5*f + 5*o = 77295, 1157*f - 1153*f + 2*o - 61848 = 0. What is the remainder when f is divided by 19?
18
What is the remainder when (297/(-682) + (-4)/62)*-908 is divided by 119?
97
Suppose 11*d + 7261 = 7448. Calculate the remainder when d is divided by 9.
8
Let z(p) = p**3 - p**2 + 4*p + 37. What is the remainder when 222 is divided by z(0)?
0
Let s(l) = 137*l**2 + 5*l + 13. Let o be s(-2). Let h = -85 + o. What is the remainder when h is divided by 36?
34
Suppose -4*b = -3*g + 4261, -7*g + 3*g + b = -5690. Suppose -1418*c - 1860 = -g*c. Calculate the remainder when c is divided by 94.
90
Suppose o = -4*r + 1083, -2*o + 14*r - 19*r + 2172 = 0. What is the remainder when o is divided by 1?
0
Suppose -31*i - 122 = -432. What is the remainder when 375 is divided by i?
5
Suppose -5*z - 14 = -64. Suppose 0 = -z*q + 1022 + 468. Calculate the remainder when q is divided by 17.
13
Let k be (12/(-72)*-4)/((-4)/(-6)). Calculate the remainder when 11 is divided by (207 - 208)/(-1*k/2).
1
Suppose 54 = -106*d + 107*d. Calculate the remainder when 86 is divided by d - 16*6/24.
36
Let s(z) = z**3 - 3. Let x be s(2). Suppose -324 = -x*y + y + 4*l, -87 = -y - l. What is the remainder when y is divided by 44?
40
Suppose -4*a + 147 = -33. Calculate the remainder when 179 is divided by (-9)/a - 604/(-20).
29
Suppose -41 = 10*k - 1. Let u be k*((-9)/6 + 3). Let w(q) = 2*q**2 + 6*q - 13. What is the remainder when 42 is divided by w(u)?
19
Suppose 5*a + 6 = 5*d + 296, -d = -5*a + 298. Calculate the remainder when 2/10 - (-1452)/165 - -528 is divided by a.
57
Let y(c) = 107*c + 6. Let k(f) = f + 1. Let m(z) = 4*k(z) - y(z). What is the remainder when m(-1) is divided by 15?
11
What is the remainder when 14 is divided by (8/(-11)*99/(-90))/((-2)/(-25))?
4
Let o = -4149 - -5548. What is the remainder when o is divided by 28?
27
Let t be (-3)/6 + (-10)/(-4). Suppose -4*q + 24 + 30 = 2*v, t*v - 2*q - 42 = 0. Calculate the remainder when 55 is divided by v.
9
Let x(t) = 14*t**3 + 2*t**2 + 3*t. Let v be x(-2). Let b = -101 - v. What is the remainder when 27 is divided by b?
0
Let z = 18519 + -18361. Let u = -2 - -5. Suppose 5*p = -2*y + z, p - 8 = u*p. Calculate the remainder when y is divided by 13.
11
Let f = -16 - -18. Suppose 0 = 3*a + b + 28, -34 = -0*a + 3*a - f*b. Calculate the remainder when (-1*19)/(5/a) is di