. Let v = 224 - w. Calculate the remainder when v is divided by u.
7
Let c(i) = -3*i - 4. Suppose -16*w - 1293 + 413 = 0. Let f = 14 - w. What is the remainder when f is divided by c(-4)?
5
Let o = -345 + 360. Suppose o*w - 204 = 96. What is the remainder when 516 is divided by w?
16
Suppose 5*b = -2*s + 3045, -1218 = 29*b - 31*b + 5*s. Calculate the remainder when b is divided by 9.
6
Let a = 15 - 13. Let y = 4148 + -4132. What is the remainder when y is divided by a?
0
Suppose 5*a + 11*t - 137 = 7*t, 122 = 5*a - t. Calculate the remainder when (0 - 1) + a + 63/(-21) is divided by 76/6 + 1/3.
8
Let r(s) = s**3 + 5*s**2 - s - 1. Let u be r(-5). Let k be 114*(-1)/(u - 7). Let o = 45 - k. Calculate the remainder when o is divided by 4.
3
Let h(c) = 14*c + 67. Let x(l) = -41*l - 204. Let q(z) = 17*h(z) + 6*x(z). What is the remainder when 50 is divided by q(-12)?
6
Let l(r) = -21*r**2 + 167*r - 1. Let w be l(8). Let j(t) = 7*t**2 + 23*t + 126. What is the remainder when j(w) is divided by 8?
6
Suppose 0 = 11243*y - 11229*y - 8120. What is the remainder when y is divided by 243?
94
Let w = -152 + 248. Suppose 0 = w*c - 98*c + 48. What is the remainder when 37 is divided by c?
13
Let q = 8 + -5. Let i = 5937 - 5904. Calculate the remainder when i is divided by (-8)/q*36/(-8).
9
Let r(n) = 295*n + 926. What is the remainder when r(17) is divided by 145?
141
Let o(t) = 3*t**2 + 12*t - 3. Let n be o(3). What is the remainder when 32 is divided by (n/(-8) - -1)*-2?
6
Suppose 2*m + 69 = 15. Calculate the remainder when 183 is divided by -2 + 7 - m/(-3) - -31.
21
Calculate the remainder when 2651 is divided by 44/8 - 37/(-74).
5
Let b(y) = -y**3 - y**2 - y - 1. Let w be b(3). What is the remainder when 60 is divided by w/5 - -7 - -22?
18
Let m(q) = q**2 - q**3 + q + 5*q + 7 + q. Let l be (-24)/36*(0 + 30/4). Calculate the remainder when m(l) is divided by 42.
38
Let m(n) = -n**3 + 13*n**2 + 13*n + 16. Let v be m(13). Let k = 456 - v. Calculate the remainder when k is divided by 13.
11
Let t(a) = a - 2. Suppose -29*w + 25 = -24*w. Let l be t(w). Suppose -l*q + 24 = -30. What is the remainder when 34 is divided by q?
16
Calculate the remainder when ((48/(-15))/(-4))/(20064/10030 - 2) is divided by 41.
38
Let k(i) = -89*i + 7. Let j be k(7). Let c = j - -647. What is the remainder when c is divided by 11?
9
Let z(f) = 33*f**3 + 10*f**2 - 83*f + 116. What is the remainder when 1788 is divided by z(2)?
10
Suppose r - 220 = 3*m, 118*m = -4*r + 121*m + 826. What is the remainder when r is divided by 172?
30
Let f be (-27)/(-2)*(-32)/120*5. Let s(x) = x**2 + 17*x - 10. Let c be s(f). Suppose 136 = -4*a + c*a. What is the remainder when a is divided by 9?
7
Suppose 12*x - 3926 - 1522 = 0. Suppose x = 38*y - 230. Calculate the remainder when 66 is divided by y.
12
Suppose 346*t - 3765 = 155049. What is the remainder when t is divided by 451?
8
Let f = -261 - -106. Let l = 168 + f. Calculate the remainder when 49 is divided by l.
10
Suppose 3*m + 164 = 2*l, -9*l - 4*m + 433 = -4*l. What is the remainder when 111 is divided by l?
26
What is the remainder when 411 is divided by (14*9/63)/((-4)/(-44))?
15
Let j(b) = 10*b**2 - 7*b + 5. Let v(f) = -75*f - 1548. Calculate the remainder when j(6) is divided by v(-21).
26
Suppose -4*p + 3*f + 30091 + 44169 = 0, 0 = -3*p - 9*f + 55650. What is the remainder when p is divided by 91?
89
Suppose 2*i - 2*x - 32 = 0, 2*i + 8*x = 5*x + 22. Let v = -32 - -35. What is the remainder when 2 - v - -2 - -52 is divided by i?
11
Let p(t) = -t**2 + 14*t - 11. Suppose 5 = z - 5. Suppose -54 = -16*j - 12*j + 3922. Calculate the remainder when j is divided by p(z).
26
Suppose -i - 58 + 64 = 0. Suppose -i*c + 2240 = 242. Calculate the remainder when c is divided by 7.
4
Let j(q) = -q**3 - 8*q**2 + 381*q + 57. Calculate the remainder when 514 is divided by j(-24).
127
Suppose -36*h = -l - 40*h + 22, 5*l + 5*h = 185. Calculate the remainder when 378 is divided by l.
0
Let c be 1/(1270/(-255) - -5). Let o = 51 - c. What is the remainder when (56/(o + -4))/((-6)/39) is divided by 31?
29
Suppose -23*r - 50 = -33*r. Suppose -r*d + 2 = 4*b - 3, 4*b - 2*d - 26 = 0. Suppose -c + 31 - b = 0. What is the remainder when 99 is divided by c?
21
Let p = 144 + 20. Let y = -116 + p. Suppose 38 = q - y. What is the remainder when q is divided by 23?
17
Let b = -6272 + 7190. Calculate the remainder when b is divided by 902.
16
Let q(h) = 2*h + 2. Let r(x) = -x**3 + x**2 - x + 1. Let l be r(1). Let v be q(l). Let g(s) = 18*s - 11. What is the remainder when g(v) is divided by 12?
1
Suppose -22*g = 18*g - 33276 - 104324. What is the remainder when g is divided by 246?
242
Suppose 77 = -2*h - 5*h. Calculate the remainder when 3/1 - (h + -57) is divided by 36.
35
Suppose 23*j + 810 = 3*k + 26*j, 2*j + 1350 = 5*k. Calculate the remainder when k is divided by 2*((-23)/(-2) - 1).
18
Let u(n) = -n**3 + 2*n**2 - 5*n - 1. Let c be u(3). Let s = 76 + c. Let f = 21 + s. Calculate the remainder when f is divided by 38.
34
Let y be (-5)/(-3) - (5 - (-160)/(-30)). Let f(d) = d**3 + 8*d**2 + 6. What is the remainder when (33*y/6)/(4/4) is divided by f(-8)?
5
Let i = -11 - -22. Suppose -4*u = -i*u + 546. Let s = 5 + 11. What is the remainder when u is divided by s?
14
Suppose -6 = 38*b - 37*b + 2*c, 2*c + 30 = 5*b. Suppose -5*o - 11 + 21 = 0, -3*a + 527 = b*o. What is the remainder when a is divided by 58?
57
Suppose 4*c - 4*w = 50 + 286, 338 = 4*c - 5*w. Suppose -5*p + 255 = 5*i, 14 - 8 = 2*p - 22. Calculate the remainder when c is divided by i.
8
Let o(a) be the third derivative of a**6/120 + a**5/12 - 11*a**4/24 - 16*a**3/3 - 24*a**2. What is the remainder when 65 is divided by o(-5)?
19
Let n(f) = 2*f**3 + 6*f**2 + 2*f - 6. Let v be n(-3). What is the remainder when (-3)/2 - 438/v is divided by 25?
10
Suppose -5*r + 304 = -116. Suppose -14*y = -r - 462. What is the remainder when y is divided by (-1)/(2/(-14)) - -3?
9
Let z(v) = -20*v - 178. Let x be z(-8). Let f(k) = -k**2 - 43*k - 31. Calculate the remainder when f(x) is divided by 17.
11
Let t be 1/4 - (-54)/8. Let x = 2387 + -2359. Suppose -4*f + x = 4*w, -4*f = 5*w - 30 - t. What is the remainder when 14 is divided by w?
5
Let r(l) = 381*l - 933. Calculate the remainder when 426 is divided by r(3).
6
Let c = 2543 - 2516. Calculate the remainder when 1075 is divided by c.
22
Let d(l) = -60*l - 605. Let t(j) = -30*j - 301. Let x(w) = 4*d(w) - 9*t(w). Calculate the remainder when 239 is divided by x(-9).
11
Suppose 116*d - 131*d + 7455 = 0. What is the remainder when d is divided by 25?
22
Let t be 349*(6/(-12) + 3/(-6)). Let m = -277 - t. What is the remainder when 356 is divided by m?
68
Let y be (-2*2 - -3) + 36/(-3). Suppose -m + 0 = -15. Calculate the remainder when m is divided by (-960)/(-156) + 2/y.
3
Suppose 4645 = 4*g - 5*r, 0 = 2*g + 610*r - 611*r - 2333. What is the remainder when g is divided by 8?
2
Let c(n) = -24*n + 35. Calculate the remainder when c(-7) is divided by 78.
47
Let y(q) = q**2 - 5*q - 121. Let m be y(-9). Suppose t - 3*z - 35 = 0, 201 - 33 = 4*t - m*z. What is the remainder when t is divided by ((-25)/(-2))/(1/2)?
22
Suppose 4*x + 5 = 53. Let v(m) = -6*m + 77. Suppose -3 = 11*j + 74. What is the remainder when v(j) is divided by x?
11
Suppose 187*z - 184*z - 4*y - 4658 = 0, 6276 = 4*z + 4*y. What is the remainder when z is divided by 1552?
10
Suppose -14*r + 2100 = -98. Let d = -152 + r. Calculate the remainder when 129 is divided by d.
4
Let g = -124 + 124. Let f be (g/(-5) - -1) + 3. Suppose -2*h - 5*y = -2*y - 112, 2*y = -f*h + 224. Calculate the remainder when 109 is divided by h.
53
Suppose 6 = -0*b + b. Let u be 3*((-35)/(-15) + -1). Suppose -21 - 39 = -u*f. What is the remainder when f is divided by b?
3
Suppose 0 = 5*c - 10, n - 245*c - 1624 = -250*c. What is the remainder when n is divided by 19?
18
Let z(q) = q**3 - 13*q**2 - 31*q + 11. Let u be z(15). Suppose 4*b - 176 = -40. Calculate the remainder when b is divided by (-31)/u - 6/8.
6
Let y(x) = 9 - 155*x - x**2 + 170*x + 6. What is the remainder when y(12) is divided by 13?
12
Calculate the remainder when 1451 is divided by 2/(-13) + (-33306)/(-1183).
23
Let n be (-6)/(-4) - (-8 - (-567)/(-14)). Suppose 30 - n = -5*q. Suppo