y z(t).
1
Calculate the remainder when -2*13*-1*715/130 is divided by 51.
41
Let b(k) = -4*k**2 + 8*k + 11. Let h be b(-9). Let x = 435 + h. What is the remainder when x is divided by 38?
12
Suppose 4*i - 2*l = -66, -5*i + 3*i - 63 = 5*l. Let v = i - -16. What is the remainder when 103 is divided by 16/6*12 - v?
33
Suppose -21*o = -16*o - 50. Let a(h) = -h**3 + 9*h**2 + 14*h. What is the remainder when a(o) is divided by 16?
8
Let n be 2 - 0/(-6 + 8). Suppose 0 = -n*y - 23 + 31. What is the remainder when 7 is divided by y?
3
Suppose -10 = -6*u + 62. Suppose 6*t - u = 2*t. Suppose -3*i + 3*s + 90 = 0, t*s - 118 = 2*i - 7*i. What is the remainder when 75 is divided by i?
23
Let w = 13604 + -13520. Calculate the remainder when 268 is divided by w.
16
Suppose -2*l - 2*u = -244, 2*l - 5*u = 103 + 43. Suppose -2*w - 43 = -4*c + 3*c, -5*w = 2*c - 95. Calculate the remainder when l is divided by c.
18
Let y(p) = 2. Let k(v) = v + 67. Let t(c) = k(c) - 3*y(c). Suppose 5*z - 3*o = 3*z + 6, z + 3*o = -6. What is the remainder when t(z) is divided by 16?
13
Suppose 433 = -2*a + 2*z + 695, 2*a + 3*z = 242. What is the remainder when 14982 is divided by a?
123
Suppose 3*t - 2114 = -2*q, 14*t - 2*q = 15*t - 702. Let j = t - 662. What is the remainder when 86 is divided by j?
42
Suppose -34*u = -s - 32*u + 55, -220 = -4*s + u. Calculate the remainder when 2420 is divided by s.
0
Let p = -12 + 20. Suppose 10*q - 9 = 11. Suppose -222 = -p*i + q*i. Calculate the remainder when i is divided by 13.
11
Suppose 25*z - 5 = 24*z - 5*t, 5*z - t - 25 = 0. What is the remainder when 103 is divided by 57/z + (-20)/50?
4
Let s(i) = i**3 + 9*i**2 - i - 6. Let x be s(-8). Suppose -5*l - x = -181. Calculate the remainder when l is divided by (-60)/21*(-105)/30.
3
Let q(i) = i**3 - 4*i**2 + 10*i. Suppose 8*p + 8 = 48. Let r(m) = 10*m - 46. Let l be r(p). Calculate the remainder when q(l) is divided by 15.
10
Let f = -40648 - -40908. Calculate the remainder when f is divided by 68.
56
Let s = -111 - -89. Let i(a) = a**2 + 15*a + 68. What is the remainder when i(s) is divided by 57?
51
Let n be (9/(-12))/((-3)/12) + 0. Suppose 0 = n*d - 15 + 45. Let l = 15 - d. What is the remainder when l is divided by 18?
7
Let l(p) = -p**3 - 3*p. Let t be l(-3). Suppose -3*n + t = n. Suppose 0 = s + 2*m - n, 2*s + 3*m = 2*m + 24. Calculate the remainder when 49 is divided by s.
10
Let j = -3287 + 3351. Calculate the remainder when 126 is divided by j.
62
Let b(f) = -876*f - 90167. Let l = -58 - -96. What is the remainder when b(-103) is divided by (-1)/2 - l/(-4)?
7
Let h(j) = 155*j**2 + 712*j - 29. Calculate the remainder when h(-5) is divided by 97.
92
Let i(l) = 35*l - 619. Calculate the remainder when 45560 is divided by i(18).
9
Let x(v) = 6*v + v**2 - 33 + 6 + 7*v. Calculate the remainder when 73 is divided by x(-16).
10
Let z(s) = s**2 + 4*s. Let r be z(-7). Let l be (-486)/(-2)*r/7. Suppose 2*d - 5*d = -l. What is the remainder when d is divided by 49?
47
Suppose -l = 3*g - 47, 89*g - 94*g + 5*l + 65 = 0. Suppose -2*u + 195 = 3*u. What is the remainder when u is divided by g?
9
Let y(o) = -o**3 + o**2 + 11*o + 3. Let c = 101 - 105. Let v be y(c). Let l = -27 + v. Calculate the remainder when 23 is divided by l.
11
Let l(m) = -m**3 + 7*m**2 - 18*m + 29. Let q be l(4). Suppose 4*f + 403 = q*f + 5*t, 0 = -5*f - 2*t + 2084. Calculate the remainder when f is divided by 35.
33
Let y(a) = -4*a**2 + 24*a - 104. Let w be y(11). Let t = 359 + w. What is the remainder when t is divided by 9?
8
Let l be (38/(-10) - -5)/((-6)/(-40)). Calculate the remainder when (-2 - 16)/((l/20)/(-1)) is divided by 3 + -3 - -14 - -2.
13
Let m = -10 - -26. Let x(y) = -y**2 + 27*y - 49. Let o be x(25). What is the remainder when m is divided by (-5 - -1) + 13/o?
7
Suppose 4*s - 1250 = -5*u, 0 = 3*s + u - 571 - 361. What is the remainder when 954 is divided by s?
24
Let r = -10824 + 10874. Suppose 5*b - 1 + 6 = -5*s, -4*b = 5*s. Suppose s*g + 56 = 8*g. What is the remainder when r is divided by g?
8
Let m = -105 - -120. Suppose -70 = 5*x - m*x. Suppose -59 = 3*t - 158. What is the remainder when t is divided by x?
5
What is the remainder when (9 + -10)/(4/(-188))*(5 + 39) is divided by 227?
25
Suppose 2*q = 5*y + 77, 32 = -3*q - y + 122. Suppose -12 = -0*h + 2*h - 4*f, 22 = -2*h - f. Let m = h + 71. What is the remainder when m is divided by q?
30
Suppose 3*t - 439 = -9*c + 13*c, c - 434 = -3*t. Calculate the remainder when 707 is divided by t.
127
Let o(p) = 7*p**2 - 66*p - 67. What is the remainder when 252 is divided by o(-1)?
0
Suppose -4*i = 4*l - 600, 4*l + i = 291 + 312. What is the remainder when 326 is divided by l?
24
Let a(o) = 3*o - 31. Let w be a(9). Let x be 100/(-16) - 1/w. Calculate the remainder when (-285)/x - (-24)/(-16) - -1 is divided by 13.
8
Let a(s) = 194*s + 209. Calculate the remainder when a(1) is divided by 7.
4
Suppose -13*a = -3*a - 1200. Let q = a - 88. Calculate the remainder when 95 is divided by q.
31
Calculate the remainder when 5*16/20 - (-54 - 1) is divided by 2*4*(2 + 1).
11
Let c(m) = 2252*m**2 + 182*m + 182. What is the remainder when c(-1) is divided by 73?
62
Let u(o) = 2*o**3 + 70*o**2 + o + 98. Calculate the remainder when 748 is divided by u(-35).
55
Let p = -64 + 31. Let h = 37 + p. Suppose 2*i + 10 = -3*q + 68, -i + 84 = h*q. Calculate the remainder when 65 is divided by q.
21
Suppose -49*x + 55*x + 264 = 0. Let g = -43 - x. Calculate the remainder when 4 is divided by g.
0
Suppose 29*c - 45689 = 9962. What is the remainder when c is divided by 51?
32
Let u(k) = -k - 127. Let t(l) = -5*l - 253. Let p(y) = -3*t(y) + 5*u(y). What is the remainder when p(8) is divided by 16?
12
Suppose -363 = 4*f + 101. Let n(v) = 30*v**2 - 83*v - 158. Let c be n(-2). Let m = c + f. What is the remainder when 69 is divided by m?
9
Suppose 16569 - 158621 = -46*q - 22*q. What is the remainder when q is divided by 38?
37
Suppose 2*y + y = -4*v + 120, 5*y = -3*v + 101. Let z(x) = 4*x**2 + 18*x - 64. What is the remainder when z(-8) is divided by v?
21
Let f = -3820 + 4019. What is the remainder when 6364 is divided by f?
195
Let g = -227 + 228. What is the remainder when (-159 - (-5 - g))/(-1) is divided by 13?
10
Suppose 9*s - 5*i = -2*s + 2090, -760 = -4*s + 3*i. Calculate the remainder when s is divided by 85.
20
Let w = 10493 + -9982. What is the remainder when w is divided by 7?
0
Let c = -4 + 6. Let f = -28673 + 28683. What is the remainder when f is divided by (c + 6/4)*2?
3
Suppose 0 = i + 12 - 19. Suppose i = 5*p - 118. Suppose p*a - 512 = 9*a. What is the remainder when 158 is divided by a?
30
Suppose 97460 = 5*b - 4*f, 4*f + 38984 = 23*b - 21*b. Calculate the remainder when b is divided by 171.
169
Suppose -4*p = 4*u - 524, 3*u = -p - p + 389. Calculate the remainder when u is divided by 54.
19
Suppose 3*u - 23 + 2 = 0. Let o(h) = h**3 + 10*h**2 - 35*h - 70. Let s = 481 - 493. Calculate the remainder when o(s) is divided by u.
6
Suppose 1661 = 14*h + 2*h + 125. Calculate the remainder when h is divided by 69.
27
Let t = 2272 + -2205. What is the remainder when 647 is divided by t?
44
Let g be ((-66)/(-36))/(11/5874). Let f = g + -905. Calculate the remainder when 292 is divided by f.
70
Suppose n + 4*c = 23, -3562*c + 3567*c = 3*n - 35. Suppose 0 = 3*j - j - 28. Calculate the remainder when n is divided by j.
1
Calculate the remainder when (2079/396)/((7/116)/7) is divided by 279.
51
Let u be 3 - (-3 - -2)/(-1). What is the remainder when (-125)/u*(4 + -6) is divided by (-780)/65*(-16)/6?
29
Let q(m) be the third derivative of -5*m**4/8 - 5*m**3/2 - m**2 + 7. What is the remainder when 87 is divided by q(-3)?
27
Let o be (-5 + 5)*(-6)/12. Suppose 3*u - 15 = o, -2*u - 37 = -v - u. Calculate the remainder when v is divided by 16.
10
Suppose -4*u + 5*x + 432 = 0, -130*x - 216 = -2*u - 128*x. What is the remainder when 2267 is divided by u?
107
Let c = 48 + -50. Let a be -3*(c - 4/(-6)). Suppose 2*r + 3*r = -2*w + 7, w + a = 0. Calculate the remainder when 6 is divided by r.
0
Calculate the remainder when ((-136)/408)/(1*3/(-2088)) is divided by 98.
36
Let v = -2559 - -3333. What is the remainder when v is divided by 322?
130
Suppose 4*a - 77 = -u, 4*u - 368 = 68*a - 64*a. What is