culate the remainder when 167 is divided by j(2).
3
Let g(v) = 5*v - 107. Let j be g(22). What is the remainder when 120 is divided by 34/j + (442/(-39) - -10)?
0
Let z(g) = 34*g**3 + 6*g**2 - 97*g + 253. What is the remainder when z(3) is divided by 52?
50
Suppose 2*b - 668 = -4*r, -3*r + 176 = -2*r - 4*b. Calculate the remainder when r is divided by 55.
3
Let p(a) = 78*a**2 + a - 1. Let d = 9 - 11. Suppose -180*r - 246 = -4*b - 181*r, 2*b = -r + 122. What is the remainder when p(d) is divided by b?
61
Suppose 0 = 13*o - 8*o + x - 1255, 983 = 4*o + 5*x. Let c = o - 131. Calculate the remainder when c is divided by 27.
13
Let k(m) = 72*m - 5. Let s(b) = 145*b - 11. Let v(q) = 13*k(q) - 6*s(q). What is the remainder when v(1) is divided by (6/(-12))/(-5 - 2094/(-420))?
32
Suppose -43 = -8*i + 21. Calculate the remainder when 76 + (6 - 3)/(12/i) is divided by 16.
14
Let v(j) = 8*j**3 - 3*j**2 + 5*j - 5. Let y be v(4). Let r = y + -427. Calculate the remainder when 132 is divided by r.
28
Let m = -181 - -218. Suppose -m*i + 6*i = -775. What is the remainder when 46 is divided by i?
21
Suppose -14*n = -7585 + 333. Calculate the remainder when n is divided by 3.
2
Suppose -178*d + 15275 = -153*d. What is the remainder when d is divided by 23?
13
Suppose -6*h - 5*b = -26, -h + 5*b = -27 + 11. What is the remainder when 7558 is divided by h?
4
Suppose -2*a = -7*p + 203, -959*a + 962*a = -p + 29. Calculate the remainder when 2896 is divided by p.
25
Suppose -23*d + 4*r + 1267 = -18*d, 0 = 2*d - 2*r - 506. Suppose -13*a = 4*a - d. What is the remainder when -9*(-4)/10*20 is divided by a?
12
Let r be 3/((-6)/(-8))*(1 + 0). Let b be ((-8)/(-40))/(1/295). Let g = r + b. What is the remainder when g is divided by 33?
30
Let o(c) = 6*c + 110 - 21 - 2*c - c + c. Suppose 2*i - 93 = 27. What is the remainder when i is divided by o(-14)?
27
Let f = 371 + -365. Suppose f*k - 1287 = -3*k. Calculate the remainder when k is divided by 53.
37
Let i = 351 - 341. What is the remainder when -8 + 62/i*5 is divided by 4?
3
Suppose w - 4*u - 161 = 0, -500 = -4*w + 3*u + 131. What is the remainder when w is divided by 66?
25
Let h = 371 - 204. Let y = -1175 - -1199. Calculate the remainder when h is divided by y.
23
Let r = -17929 + 18065. Calculate the remainder when r is divided by 57.
22
Let r = 533 + -386. Suppose -8*h + 5*h + z + r = 0, -h = z - 49. What is the remainder when h is divided by 19?
11
Let m(n) = -52*n - 2174. What is the remainder when 149 is divided by m(-42)?
9
Suppose -268 = -15*q + 692. Let x = q - 144. Let v = x + 204. Calculate the remainder when v is divided by 32.
28
Let t = -3839 + 3898. What is the remainder when 132 is divided by t?
14
Let l = -8 - -29. Let p = -351 + 550. Let z = p - 120. What is the remainder when z is divided by l?
16
Suppose -44 = -2*r - 4*u, 3*r = 55*u - 53*u + 26. Calculate the remainder when 16637 is divided by r.
5
Suppose 0 = 2*v - 3*m - 7, -5*m + 6*m + 5 = 0. What is the remainder when 67 is divided by (-99)/v + (-12)/16?
19
Let r(b) = 10*b + 1. What is the remainder when 17/((-3570)/(-30597)) + 27/90 is divided by r(4)?
23
Suppose 2*c - 3*b = -2*c + 95, 4*c + 4*b = 116. Suppose -24*v + c*v = 102. Calculate the remainder when 305 is divided by v.
50
Let s = -10154 + 10883. What is the remainder when s is divided by 51?
15
What is the remainder when (-1 + (-183)/15)/((-21039)/(-915) - 23) is divided by 75?
63
Let f be 42/14 - (-8 - (-1 + 0)). Let k(b) = 11*b**2 + 4*b - 11 + 19 - f*b**2. What is the remainder when 58 is divided by k(-5)?
6
Suppose 8*c + 105 = 5*c + 282. What is the remainder when 176 is divided by c?
58
Calculate the remainder when 748 is divided by (12/(-10))/((-22)/550).
28
Let k(a) be the third derivative of -a**5/60 + 19*a**4/24 + 61*a**3/3 - 80*a**2 + 1. What is the remainder when 81 is divided by k(23)?
21
Let z = 6818 + -6339. What is the remainder when 971 is divided by z?
13
Suppose -3*t = 5*b - 3, -t + 2*b = -3*b - 1. Let y(u) = -u + 3. Let f be y(t). What is the remainder when 61 is divided by ((-57)/38)/(f/(-28))?
19
Let m = 108 + -228. Let k = m - -133. Calculate the remainder when 103 is divided by k.
12
Suppose -4*z + 120 = -2*l, -2*z + l = z - 88. Calculate the remainder when (-2)/(12/(-18) - 500/(-795)) is divided by z.
25
Let o(m) = 2*m + 7. Suppose 8 = -p + 54. Let u = p + -1. What is the remainder when u is divided by o(5)?
11
Suppose l - 11*l = -60. Suppose -10*u = -l*u - 88. Let i = 63 - 28. What is the remainder when i is divided by u?
13
Suppose -54 = -2*w + 3*g, -2*w - 2*g - 6 = -50. Let k = -4460 + 4530. What is the remainder when k is divided by w?
22
Let b = -43 - -67. Suppose 7 - b = -q. Let s = 71 - 21. Calculate the remainder when s is divided by q.
16
Suppose 4*s = 3*s - c + 107, 4*c - 122 = -s. What is the remainder when 510/s - (-549 - -1) is divided by 37?
35
Let k = -229 + 234. Suppose 7*x - 6 = -2*u + 2*x, k*u + 3*x - 53 = 0. What is the remainder when 140 is divided by u?
10
Suppose 20*z - 15488 = -2*z. Let a = 713 - z. Suppose 5*l - 156 = -26. What is the remainder when l is divided by a?
8
Let d = 17299 - 17204. Calculate the remainder when 840 is divided by d.
80
Suppose 20*c + 589 = c. Let y = -6 - c. Calculate the remainder when 69 is divided by y.
19
What is the remainder when 1084 is divided by 6/(-15)*-50 - -11?
30
Let y = -15770 - -15804. Calculate the remainder when 6015 is divided by y.
31
Let n(p) = -2*p**3 + 19*p**2 - 38*p + 84. Let y(a) = 3*a**3 - 2*a**2 - a. Calculate the remainder when n(6) is divided by y(2).
10
Suppose 178 + 122 = 5*u. Suppose -240 = -4*i + 3*f, 0 = 4*i - 5*i - 5*f + u. What is the remainder when i is divided by 9?
6
Suppose -12*p = 12 - 72. Suppose 3*m - 424 = -p*u + 4*m, 3*u = 4*m + 268. Let y = 100 - u. What is the remainder when 28 is divided by y?
12
Suppose -2*s + 240 = 7*i - 154, 5*i = 3*s - 591. What is the remainder when s is divided by 10?
7
Suppose -2*v - 4*z - 836 = 0, 0*v + 433 = -v + 3*z. Let y = -397 - v. What is the remainder when y is divided by 9?
0
Let b(d) = 14*d - 637. Calculate the remainder when 522 is divided by b(53).
102
What is the remainder when 49 is divided by 1246/(-445)*(-35)/2?
0
Let r(h) = 21 + 2*h + 22 - 4*h + 3*h + h**3. Suppose -138 = -n + 4*m, 2*m = 7*n - 599 - 289. What is the remainder when n is divided by r(0)?
40
Let a be (120/(-200))/(1/15). What is the remainder when 177/a*(-189)/9 is divided by 6?
5
Let f(n) be the first derivative of -1/2*n**4 - 2 - 3*n**3 - 3*n**2 + 11*n. Calculate the remainder when f(-6) is divided by 12.
11
Suppose 5*l = -2*g - 5 + 155, 2*g = 10. Let v be (2/(-2))/(4/l). Let t(q) = q**3 + 7*q**2 + 5. Calculate the remainder when t(v) is divided by 4.
1
Let j(q) = 14*q**2 - 164*q - 5905. Calculate the remainder when j(-27) is divided by 90.
89
Let t(w) = w**3 + 7*w**2 + 5*w - 5. Let l be t(-4). Let b = l + 3. Let v = -112 + 189. Calculate the remainder when v is divided by b.
25
Let g(z) = 6*z + 3. Let c be g(-7). Let l(a) = -a**2 - 39*a + 28. What is the remainder when l(c) is divided by 5?
3
Let i(r) = 19*r**2 - 74*r - 220. What is the remainder when 525 is divided by i(-3)?
6
What is the remainder when 278 is divided by (78/15)/((-106)/(-795))?
5
Let v = 5702 + -5590. Calculate the remainder when 233 is divided by v.
9
Suppose -2*v + 32 = 2*n - 7*v, -3*v + 142 = 4*n. What is the remainder when 81 is divided by n?
19
Suppose 752*r = 3*n + 750*r - 147, r = 0. Calculate the remainder when 187 is divided by n.
40
Suppose 2*q + 0*q - 3*x = -83, x = -5*q - 233. Let k = 67 + q. Suppose 119*n + 41*n = 76*n + 4788. What is the remainder when n is divided by k?
15
What is the remainder when 540 is divided by 9/(-6) - (-11 - (-1717)/(-34))?
0
Suppose 4*m = -3*o + 400, -12*m - 200 = 33*o - 34*o. Calculate the remainder when 5319 is divided by o.
139
Let t = 113 - 110. Let x(v) = -t + 18*v**2 + v + 11*v**2 - 28*v**2 - 4*v. What is the remainder when x(-4) is divided by 13?
12
Suppose -76 = -4*l + 4*u, l = -4*u + 15 + 19. Let d(v) = 4*v**2 - 10*v + 6. Let g be d(5). Suppose 8*o - g = o. What is the remainder when l is divided by o?
6
Suppose 21*k + 3*z = 25*k - 369, -5*k - 6*z + 432 = 0. Calculate the remainder when 889 is divided by k.
79
Let j = -296 - -292. Suppose 10*