by z(t).
13
Suppose -29737*t - 1965 = -29742*t. Calculate the remainder when t is divided by 11.
8
Let p = -364 - -401. Calculate the remainder when (35 + -9)/((-2)/(-11)) is divided by p.
32
Let h(q) = 11*q + 287. Let p be h(-25). What is the remainder when (-1 - p)/(-5*(-4)/(-260)) is divided by 17?
16
Let n = 3505 - 3348. What is the remainder when 5960 is divided by n?
151
Let o(g) = -5*g**2 + 2*g. Let s be o(1). Let c(l) = -l**3 - 11*l**2 - 32*l - 7. Calculate the remainder when 63 is divided by c(s).
12
What is the remainder when (-2702)/(6 - (23 + -15)) is divided by 169?
168
Let z = 1204 - 698. Suppose -5*c + 3*w = -z, 4*c + 2*w - 331 = 65. Calculate the remainder when 398 is divided by c.
98
Let x(n) = -6*n**2 + 150*n - 11. Let w be x(20). Suppose 576*t = w*t - 195. What is the remainder when (0 - 14/(-4))*8 is divided by t?
13
Let u(b) = -169*b - 775. What is the remainder when 488 is divided by u(-5)?
68
Let r be 6/(-21) - 488/7. Let i = 2368 - 2258. Let s = i + r. Calculate the remainder when s is divided by 7.
5
Let z(y) = -y**2 - 13*y - 8. Let n be (-6)/39 + 11070/130. Calculate the remainder when (-5 + 4)*n*(-1)/1 is divided by z(-10).
19
Suppose 473*h - 1826 = 419*h - 530. Calculate the remainder when 4101 is divided by h.
21
Let s be 1 + (-448)/3 - (-8)/6. Let m = s - -170. Calculate the remainder when 159 is divided by m.
21
Let g be 2 + 2 - 5 - (9 - 0). Calculate the remainder when 33 is divided by (25 - (-3 - -2))*g/(-20).
7
Calculate the remainder when (-3)/21 + 59412/21 is divided by 10.
9
Suppose 145*w - 66*w = 11376. What is the remainder when 747 is divided by w?
27
Let r(z) = -6*z**3 - 9*z**2 - 3*z - 2. Calculate the remainder when 1259 is divided by r(-2).
11
Suppose k - 3*k = -5*k. Suppose k = 14*q - 182 - 154. What is the remainder when (8/20)/(2/590) is divided by q?
22
Let h(y) = -1. Let f(d) = 37*d - 185. Let p(x) = f(x) - 185*h(x). Let t be p(2). Calculate the remainder when (-4 - -5)*4 + t is divided by 10.
8
Let o(s) = s**2 + 16*s + 34. Let q be o(-14). Suppose 27*h - 2651 - 859 = 0. Calculate the remainder when h is divided by 266/q - (-6)/(-18).
42
Suppose -152*y - 89025 = -115237 - 156036. What is the remainder when y is divided by 29?
10
Let f = 4745 + -3526. What is the remainder when f is divided by 93?
10
Let s = 2 + 1. What is the remainder when s is divided by 20/(-32)*(-3328)/1040?
1
Let y(s) = 2*s**2 - 18*s + 39. Let u(w) = -4*w**2 + 35*w - 77. Let p(m) = -3*u(m) - 5*y(m). Calculate the remainder when 87 is divided by p(8).
43
Let a(z) = -z**3 - 7*z**2 + 12*z + 56. Suppose -18*r = -5*r + 104. Let f = -144 + 213. Calculate the remainder when f is divided by a(r).
21
Let f = -75 + 85. Suppose f*n - 490 = 3*n. Suppose -c = -n + 66. Calculate the remainder when 15 is divided by c.
3
Let u = 10 + -10. Suppose n = u, -4*x + 25 = -5*n - 19. Suppose 4*m - 4*g - 184 = 0, -m + 70 - 9 = -4*g. What is the remainder when m is divided by x?
8
Let w(z) = -392*z**3 + z**2 + 27*z + 25. Calculate the remainder when w(-1) is divided by 19.
11
Suppose -5*v = 28*l - 31*l - 18363, -2*l = 5*v - 18358. Calculate the remainder when v is divided by 15.
12
Suppose -32*o + 32 = 2*i - 10, 4*i - 3*o - 84 = 0. What is the remainder when 1084 is divided by i?
13
Suppose 2*d - 20 + 6 = 0. Let w(g) = 6*g**2 - 43*g + 8. Let n be w(7). Suppose -n = h, 9*b - 2*h + 118 = 14*b. Calculate the remainder when b is divided by d.
3
Let i(z) = -z**2 - 9*z - 10. Suppose 0 = -4*s + 3*l - 22, -2*s + 4*s - 3*l = -8. Calculate the remainder when 8 is divided by i(s).
0
Suppose -167 = 3*z + 115 - 402. Calculate the remainder when 2279 is divided by z.
39
Let w be (432/(-270))/((-2)/(-90)). Calculate the remainder when 96 is divided by 7 - 6/(-4)*w/(-27).
8
Suppose -5*v = 3*w - 12, -2*w + 7 + 0 = 3*v. Let t be (v/(-2) + 2)*-2*2. What is the remainder when (-3)/t - (-315)/30 is divided by 4?
0
Let t = -15805 + 15936. Calculate the remainder when 468 is divided by t.
75
Suppose -f - 3*j + 123 = 3*f, f = -4*j + 21. Suppose -v - 5*r - 249 = v, 4*v = -4*r - 528. Let b = -74 - v. Calculate the remainder when b is divided by f.
30
What is the remainder when 4375 is divided by (-9 - (-2 + (-9)/2))*-6?
10
Let g = -2307 + 2478. Calculate the remainder when g is divided by 29.
26
Let v(p) = 7*p + 1. Let m be v(4). Let o = 15 + -8. Suppose -o*b + m - 8 = 0. What is the remainder when 3 is divided by b?
0
Let p = -29 + 60. Let x = -3 + p. Let r = x - -8. Calculate the remainder when r is divided by 10.
6
Let h(f) = -3*f**3 - 12*f**2 - 5. Let m be h(-4). Let k = -119 - -207. What is the remainder when k is divided by 2*(18/m)/((-50)/125)?
16
Suppose -5*i - 66 = -3*a, 5*i - a = i - 50. Let f be 4/(4 + i) - (-5)/(-2). Calculate the remainder when (8 + 14)/((-2)/f) is divided by 18.
15
Let m(d) = d**3 - 9*d**2 - d + 13. Let c(k) = -k**3 + 8*k**2 + 9*k + 2. Suppose -58 + 13 = -5*i. What is the remainder when m(9) is divided by c(i)?
0
Suppose 1786 = 4*m - 866. Suppose 33*n - m + 135 = 0. Calculate the remainder when 2/7 + 836/14 is divided by n.
12
Suppose 48*n = 2613 - 1127 + 4994. Suppose 0 = -0*u + u - 17. Calculate the remainder when n is divided by u.
16
Let a(k) = -4*k + 4. Let h(f) = -2*f - 2. Let v(c) = -2*a(c) + 6*h(c). Calculate the remainder when v(-14) is divided by 7.
1
Let l = -6380 + 6392. What is the remainder when 182 is divided by l?
2
Suppose 4*k = -5*x + 45, -5*k + 5 = 4*x - 40. Suppose 505*t - 38688 = -507*t - 236*t. Calculate the remainder when t is divided by k.
1
Calculate the remainder when 413 is divided by ((-51)/(-119))/(2/224).
29
Let j = 336 - 310. Calculate the remainder when 249 is divided by -36*-2*(-6 - j/(-4)).
33
Let i(y) = 297*y**2 + 5*y + 4. Let s be i(-1). Suppose -67*u + s = -65*u. Calculate the remainder when u is divided by 15.
13
Suppose -209 = -d + 5*i, -4*d = 8*i - 4*i - 884. Suppose -3*m - k + d = 0, 73 = 12*m - 11*m + 4*k. Calculate the remainder when m is divided by 25.
23
Let y = -2450 + 2779. What is the remainder when y is divided by 80?
9
Suppose -36*t + 4669 = 745. Calculate the remainder when 10135 is divided by t.
107
Let c be ((-16)/(-6))/(-4)*(-25 - -28). Suppose 10*o - 5*o = 315. Calculate the remainder when o is divided by 130/5 + (0 - (2 - c)).
19
Suppose 30*y + 3174 = 31*y - 4*f, -3*f - 12722 = -4*y. What is the remainder when y is divided by 22?
14
Suppose 652*y = 47767 + 341604 - 37291. Calculate the remainder when y is divided by 123.
48
Let u(r) = -314*r - 778. What is the remainder when u(-7) is divided by 102?
94
Suppose -8*x - 20 + 4 = 0. Let v be (-127 + -1 + x - 1) + 4. Let j = v + 137. What is the remainder when 58 is divided by j?
8
Suppose 0 = -2*m - 8, 10 - 39 = -k + 5*m. Suppose 5*r + k = -v + r, 4*v - 3 = -3*r. Calculate the remainder when 12 is divided by (-55)/(-11) - (1 - v).
5
Let b(i) = 20*i - 15. Let w = 27 - 33. Let o be b(w). Let t = 223 + o. What is the remainder when t is divided by 30?
28
Suppose -3*b = -4*d + 3 + 6, 3*b + 3 = 2*d. Suppose -b = -3*w + 62. What is the remainder when 186 is divided by w?
18
Suppose 0 = -13*i + 231*i - 1397380. What is the remainder when i is divided by 49?
40
Let w be -8*(-7)/(70/55). Let g = -8 + w. Calculate the remainder when 63 is divided by g.
27
Suppose i + 3*y - 20 = 6*y, -2*i = -5*y - 45. Calculate the remainder when 347 is divided by i.
32
Let y(p) = p**3 - 4*p**2 - 4*p - 5. Let l be y(5). Suppose 3*b + 3*x = -6129, -x - 3 + 0 = l. Calculate the remainder when 18/99 - b/33 is divided by 13.
10
Let v = 112 - 19. Suppose 0 = -45*a + 31*a + 4172. Let c = 317 - a. Calculate the remainder when v is divided by c.
17
Suppose -2*c - 294 = -352. Calculate the remainder when 81 is divided by c.
23
Let l = 44 - 35. Suppose 45 = -l*s - 207. Let h = s - -42. Calculate the remainder when 67 is divided by h.
11
Let x = -2744 + 8593. What is the remainder when x is divided by 22?
19
Let z(w) = -w**2 + 31*w + 1024. Calculate the remainder when 81 is divided by z(-20).
1
Let w = 6731 - 6713. What is the remainder when 3742 is divided by w?
16
Let s(d) = 258*d**2 - 48*d - 13. What is the remainder when s(2) is divided by 38?
11
Let g be 294/539 + 819/11. Suppose g = -6*h + 327. Calculate the remainder when h is divided by 6.
0
Suppose -5*k + 4*k = 11. Let