4. Calculate the remainder when 1022 is divided by c(5).
21
Let o(x) = -41*x - 1025. Let v = -4 + 8. Suppose -v*z + 17 = t, -3*z = 2*t - z - 40. What is the remainder when o(-26) is divided by t?
20
Let y = 195 + -111. Let x = 85 - y. Calculate the remainder when 8 is divided by x.
0
Let o(y) = -31*y + 3163. Calculate the remainder when 466 is divided by o(99).
90
Suppose -4*u + 6 = 5*p - 153, 4*p - 201 = -5*u. What is the remainder when 272 is divided by u?
26
Suppose 16*x - 36*x + 1836 = -3*x. Let g = -2 - -17. Suppose x = 3*f + g. What is the remainder when f is divided by 17?
14
Suppose 4*o + 23 = -r + 4, 2*r = o - 2. Let x = 7 + r. Suppose 35*d - 56*d = 28*d - 392. Calculate the remainder when d is divided by x.
0
Let x = -286 - -527. Suppose -x = -6*f + 71. Suppose -d + f - 43 = 0. Calculate the remainder when 30 is divided by d.
3
Let p(x) = x**2 + 3*x + x**3 + 8 - 4*x + 0*x + 0*x**3. Suppose 0 = 3*w - w - 98. Calculate the remainder when w is divided by p(2).
13
Suppose -32*n - 45*n = -693. What is the remainder when 17 is divided by n?
8
Let a = -49 - -49. Suppose -v + 2*x + 6752 = a, 3*v + 13549 = 5*v + 5*x. What is the remainder when 6/33 + v/77 is divided by 23?
19
Suppose -5*z + 3*c + 892 = 0, 2*z - 4*c - 152 = 202. Suppose -52*v + z = -5333. What is the remainder when v is divided by 13?
2
Calculate the remainder when 10666/5 + 0 - 19/(-95)*-1 is divided by 24.
21
What is the remainder when (133042/39)/(33/(-18)*-2 + -3) is divided by 80?
77
Let w be ((-2)/8 - (-136)/32)*182. Suppose -47*z + w = -39*z. Calculate the remainder when 454 is divided by z.
90
Let a(i) be the first derivative of -3*i**2/2 + 20*i - 13. Let v be a(6). What is the remainder when ((-71)/v)/(20/(-40)) is divided by 20?
11
Let i(z) = -2*z**2 + 34*z + 471. What is the remainder when 2379 is divided by i(26)?
0
Suppose -325*z + 326*z = -40. Let b = -88 - z. Let m = b - -60. What is the remainder when 30 is divided by m?
6
Let t(c) = c**2 - 9*c + 10. Let x be t(8). Suppose x*b = -6 + 24. What is the remainder when (15/(90/24))/(2/12) is divided by b?
6
Let p be (3/(-18))/(7/(-42)). Let u be (-6)/4*((-44)/12 + p). Suppose -5*j + u*t - 1 = -24, 11 = 5*j + 2*t. What is the remainder when 16 is divided by j?
1
Calculate the remainder when 1077 is divided by (-2)/(-29) + 280/(-696) + 110/6.
15
Suppose 252*o = 260*o - 752. What is the remainder when o is divided by 31?
1
Let n(q) = q**2 - 13*q + 18. Suppose -5*u + 62 = -223. Let a = u - 45. Calculate the remainder when 9 is divided by n(a).
3
Suppose 3*w + 134604 = 321*u - 317*u, -4*u + 134644 = 2*w. What is the remainder when u is divided by 170?
167
Let t = -586 + 1230. Suppose -646*o + 226 = -t*o. What is the remainder when o is divided by 3*((-16)/(-3) + 1)?
18
Let x(q) = -9*q**2 + 97*q + 39. What is the remainder when 743 is divided by x(11)?
12
Let u(y) be the first derivative of -11*y - 5/2*y**2 + 21. What is the remainder when 82 is divided by u(-5)?
12
Let o(f) = -237*f**2 - 1902*f - 1. Let v = -2 - -27. Let u = v - 7. Calculate the remainder when o(-8) is divided by u.
11
Let k = 117 - 57. Let y(t) = 2*t**2 - 2*t - 5. Let u be y(-4). Let q = u - 19. What is the remainder when k is divided by q?
12
Suppose -57*q + 1596 + 2793 = 0. Calculate the remainder when 1762 is divided by q.
68
Let m(n) = 11*n**2 + n. Suppose 4*q + 3*a - 30 = -q, -a - 23 = -2*q. What is the remainder when m(-1) is divided by ((-1)/(-3))/(1/q)?
1
Let o = 2774 - 2656. What is the remainder when 217 is divided by o?
99
Suppose b = -0*m - 5*m + 50, -112 = -2*b + 2*m. Let j = -1083 + 1085. Calculate the remainder when b is divided by (2318/244)/(1/j).
17
Let q = 41 + -18. Calculate the remainder when q is divided by 33 + (-336)/(25 - 11).
5
Suppose -6*u = -14*u + 232. Let q = 299 - 99. Calculate the remainder when q is divided by u.
26
Let h(g) = -3*g**2 + 61*g - 1. Calculate the remainder when -3 + 33 - -5 - 0 is divided by h(20).
16
Suppose 4*g + 24566 = 130*g + 47*g. What is the remainder when 840 is divided by g?
130
Let i = 14859 + -14843. Let c(x) = -x**2 + 56. What is the remainder when c(0) is divided by i?
8
Let j(z) = 11*z**2 + z + 2. Let n = 4493 + -4476. What is the remainder when j(2) is divided by n?
14
Suppose u + 3*u = 136. What is the remainder when ((-5)/(-25)*5 + 5)*(-666)/(-36) is divided by u?
9
Suppose -5*p + 2*d + 126 = -0*p, -d = 5*p - 132. Suppose 233*b + 612 = 239*b. What is the remainder when b is divided by p?
24
Let c(i) = 8*i - 64. Let w be c(12). Suppose 0 = 2*p + n - w, 2*p - n - 4*n = 44. What is the remainder when 67 is divided by p?
16
Let t = -30475 + 31982. What is the remainder when t is divided by 745?
17
Suppose 35*y - 215032 = -7*y + 291404. What is the remainder when y is divided by 16?
10
Let q = 3478 - 3446. Suppose -477 = 2*j - 5*j. What is the remainder when j is divided by q?
31
Suppose 7*y - 8*y = 83. Let l = y + 112. What is the remainder when 50 is divided by l?
21
Suppose -p - 290 = -2*l, -p + 580 = 4*l + 4*p. Suppose -2322*q - 350 = -2347*q. Calculate the remainder when l is divided by q.
5
Let b = -18 - -29. Let w = 53622 + -53437. What is the remainder when w is divided by b?
9
Let g = -15206 + 15222. Calculate the remainder when 12143 is divided by g.
15
Let y(q) = 10*q + 64. Let i be y(-6). Calculate the remainder when 1/(-4) + i/16*573 is divided by 30.
23
Let h = 576 - -2441. What is the remainder when h is divided by 10?
7
Suppose -161*b + 3275 - 1013 = -103*b. Let n = -6 - -14. What is the remainder when b is divided by n?
7
Suppose -575 = -4*c + 3*s - 170, 0 = -5*c + 3*s + 507. Calculate the remainder when c is divided by 8/(-14)*1 - 54948/(-1687).
6
Suppose 80 = -18*l + 22*l. Calculate the remainder when (1 - 23)*(-1 + 3 + -6) is divided by l*(63/(-6))/(-7).
28
What is the remainder when -30*(-6)/4*736/276 is divided by 22?
10
Let n be (-2)/4 - (-3)/(-12)*-6. Suppose -2*o + 41 - n = 0. Suppose -2*f = 4*w - 68, 4*f - 16*w = -15*w + 109. What is the remainder when f is divided by o?
8
Suppose 80*t = 6689 - 455 + 2486. What is the remainder when 11333 is divided by t?
106
Suppose 0 = 3*g + x - 11 - 46, g - 11 = -3*x. Suppose 0 = 13*o - 21*o + 544. Suppose 0 = -6*l - o + 272. Calculate the remainder when l is divided by g.
14
Let h(n) = -n**2 + 2*n + 110. Calculate the remainder when 1868 is divided by h(-5).
68
Let n = 112 + -89. Suppose n*j - 17*j = 300. What is the remainder when j is divided by 28?
22
Let x = 103 - 23. Let r = -3844 + 3858. What is the remainder when x is divided by r?
10
Calculate the remainder when 21555/30*(-3 - -5) is divided by 710.
17
Suppose -5*x + 5*g = -245, -g = -2*x - 0*x + 97. Suppose k - 470 = -2*s, 24*k + 6 = 23*k. What is the remainder when s is divided by x?
46
Suppose -21*m = -371*m + 47600. What is the remainder when 140 is divided by m?
4
Let p(x) = x**3 - 5*x**2 + 6*x - 1. Let m = 213749 - 213746. Calculate the remainder when p(5) is divided by m.
2
Suppose 5431 = 42*a - 2507. Calculate the remainder when a is divided by 97.
92
Suppose 15*h - 10*h - 2*f - 10 = 0, 5 = -5*h - f. Suppose h = -2*y - 21 + 71. Suppose -2*w = -5*w + 39. What is the remainder when y is divided by w?
12
Suppose -7*s = 3*t - 68, -t + s = -s - 40. What is the remainder when t is divided by 7/(-2)*(-60)/21?
2
Calculate the remainder when (-5)/15 - 24/16*(-14474)/9 is divided by 62.
56
Suppose -18*h + 14*h = -228. Suppose -8*k + h = -247. Let d = -17 + k. What is the remainder when 82 is divided by d?
19
Let s be ((-17)/5 - -4)*20. Suppose 7*x - s = 3*x. Suppose f = -t + 38, f - 4*f + x*t + 96 = 0. What is the remainder when 138 is divided by f?
33
Suppose 15*q - 16*q + 2*p = 12, 3*q + 28 = -2*p. Let k(u) = u**3 + 6*u**2 - 45*u - 28. What is the remainder when 877 is divided by k(q)?
19
Let u(g) = -3*g**2 - 88*g - 133. Calculate the remainder when u(-25) is divided by 13.
10
Let c = -30 + 37. Suppose -5*m = b - 85, 3*m - 5*b - 16 = c. Let y(o) = -o**3 + 15*o**2 + 18*o - 10. Calculate the remainder when 42 is divided by y(m).
20
Let y = 78 - -27. Suppose -13*k + 8*k + y = 0. What is the remainder when 49 is divided by k?
7
Let i(x) = 361*x + 161. What is the remainder when i(1) is divided by 259?
4
Suppose -44 + 146 = -2*x - 3*n, -4*n = 5*x + 255. Let j = x + 56. What 