uppose 0 = 5*z + 10 - 30. Suppose s + 2*k = -2*k + 17, z*k - 8 = 0. What is the remainder when s is divided by v(1)?
2
Let t = 81 + -39. Let m(k) = -2*k**3 - 3*k**2 + 31*k + 95. Calculate the remainder when t is divided by m(-3).
13
Let j(g) = -10*g**2 - 92*g - 14. Let l be j(-9). Suppose 4*k + 200 = 9*k + v, -v = -l*k + 160. Calculate the remainder when k is divided by 14.
12
Let w = -4809 - -4820. Calculate the remainder when 848 is divided by w.
1
Let k(b) = -225*b - 667. Calculate the remainder when 7662 is divided by k(-3).
6
Suppose 68 = k - 3*r, -2*k = 360*r - 361*r - 151. Suppose 0 = h + h - 1076. What is the remainder when h is divided by k?
76
Suppose 0 = -14*m + 16*m - 762. Let y = m - 364. What is the remainder when 25 is divided by y?
8
Suppose k = 6, 3*a + 3 - 21 = 4*k. What is the remainder when (-4)/(-14) + (-5238)/(-42) is divided by a?
13
Let p(j) = -2*j**3 - 7*j**2 - 5*j + 7. What is the remainder when 2234 is divided by p(-3)?
11
Let d = -106 + 109. Suppose 2*w + 233 = 3*q - 0*q, -243 = -3*q - d*w. What is the remainder when q is divided by 4?
3
Let o(h) = -h**3 - 9*h**2 - 2*h. Let l(j) = -9*j**3 - j + 1. Let r be l(1). What is the remainder when 25 is divided by o(r)?
7
Let z = -735 - -752. What is the remainder when 188 is divided by z?
1
Calculate the remainder when (-2)/(-6)*81 + 11 + -5 is divided by -7*(-2 + 3)*-1.
5
Let i(w) = -2*w - 32. Let c be i(-17). Suppose 192 = c*q + 40. Suppose 0 = -3*b - 15, 0 = o - 0*o - 4*b - 40. Calculate the remainder when q is divided by o.
16
Suppose -43*y + 2183 + 1446 + 800 = 0. Calculate the remainder when 128 is divided by y.
25
Let x = -331 + 350. Suppose -54*y - 134 = -55*y + 3*o, 2*o = 4*y - 556. What is the remainder when y is divided by x?
7
Let f = 15 - 10. Suppose -f*n = m - 6*n - 6, 48 = 4*m + 4*n. Suppose -y + 280 = m*y. What is the remainder when 96 is divided by y?
12
Suppose -6 = 4*m - 18, 4*l + m = 231. What is the remainder when l is divided by 26?
5
Let k be ((-10)/(-4) - 2) + 1/2. Calculate the remainder when (k/(-5))/(-1) + 10080/225 is divided by (8/(-3))/(2/(-18)).
21
Suppose 0*i = 4*i + 3*j - 276, 4*i - 268 = -j. What is the remainder when 1187 is divided by i?
65
Suppose 6*s - 9 = 3*s, 4*z + s - 3 = 0. Suppose -7*r + 57 + 27 = z. What is the remainder when 129 is divided by r?
9
Suppose 0 = d, -4*g + 250 + 106 = -4*d. Let o = 50 - -19. Suppose 0 = 3*m + 5*a - o - 20, 0 = 5*m + 3*a - 127. Calculate the remainder when g is divided by m.
20
Suppose 5910 = 899*l - 884*l. Calculate the remainder when l is divided by 38.
14
Let r be ((-1302)/(-105))/(1/(-20)). Let k = -151 - r. Let q(o) = o**3 + 3*o**2 - 2*o + 3. Calculate the remainder when k is divided by q(-3).
7
Suppose -19176*c + 19186*c - 4050 = 0. Calculate the remainder when 410 is divided by c.
5
Suppose -6614 + 57199 = 151*q. What is the remainder when q is divided by 11?
5
Suppose 588 = -2114*p + 2135*p. Calculate the remainder when 218 is divided by p.
22
Suppose 3*q + 42 = 3*p, -38 = -155*p + 154*p - 3*q. Suppose -l + 4*w = -5*l + 116, -3*w + 113 = 4*l. What is the remainder when l is divided by p?
6
Calculate the remainder when 345 is divided by 146/(-1971) - (-3)/((-81)/(-2702)).
45
Suppose -z - 39 = -44. Let j be 3 + 14/(z - 4). Suppose -10 - j = -3*h. What is the remainder when h is divided by 3?
0
Suppose 0 = 16*j - 17*j + 4. Let h(z) = z**3 - 24*z**2 + 24*z - 21. Let c be h(23). Suppose 5*g - c*g - 18 = 0. Calculate the remainder when g is divided by j.
2
What is the remainder when 2/19 - 2461476/(-1558) is divided by 18?
14
Suppose 4*q + 886 = 2*n, 1231*n - 1236*n + 2317 = -4*q. Suppose 0 = -v + 17 + 31. What is the remainder when n is divided by v?
45
Let t(n) = -n**3 - 5*n**2 + 49*n + 254. What is the remainder when 84 is divided by t(-5)?
3
Let z be ((-3)/5)/(2/(-10)). Suppose 13*r + 120 = z*r. Let t(p) = p**3 + 14*p**2 + 23*p + 25. What is the remainder when 141 is divided by t(r)?
30
Let v = -7566 - -7595. What is the remainder when 2143 is divided by v?
26
Suppose -58383 - 5656 - 13925 = -178*n. What is the remainder when n is divided by 22?
20
What is the remainder when 3535 is divided by (-1)/(11/(-1297)) - (23/(-11) - -2)?
113
Suppose 75 = -3*c + 18*c. Suppose -c*m + 84 = -m. Calculate the remainder when 34 is divided by m.
13
Suppose p = 2, -185 = -8*r + 3*r - 5*p. Let v = 18156 + -18017. What is the remainder when v is divided by r?
34
Calculate the remainder when 417 is divided by ((-42)/28)/(2/15*(-9)/12).
12
Let s be 2 - (3 - (1 + 3)). Let o(f) = 12*f + 11. Let b be o(1). Suppose -b - 37 = -s*n. Calculate the remainder when 99 is divided by n.
19
Let v(n) = 72*n**2 - n + 4. What is the remainder when 972 is divided by v(1)?
72
Let s(i) = 9*i - 42. Let a be s(6). Let w(p) = p**2 + 9*p - 14. Let x be w(-11). Suppose -2*l + x*l = a. Calculate the remainder when l is divided by 1.
0
Let z(l) = l**3 - l**2 - 3*l - 7. Let y be z(0). What is the remainder when 309 is divided by 15 - y/(42/(-30))?
9
Suppose 2*y + 2*j - 40 = 0, -j = -6*y + 4*y + 52. Suppose -13 = w - 0*w + 4*g, 3*g = 3*w + y. Calculate the remainder when 1 - 201/w - (-4)/6 is divided by 9.
6
Suppose -5*p - 603 = -18*p + 684. Calculate the remainder when 576 is divided by p.
81
Calculate the remainder when (-6 - -7)*(157 + -2)/1 is divided by 79*(1 + 1 + -1).
76
Suppose 3*c = -2*c + 2*d - 1585, -5*c - 5*d = 1585. Let w = 522 + c. What is the remainder when w is divided by 9?
7
Let t be 1/((-4 - (-510)/125)/(-6)). Let k = t + 81. Calculate the remainder when 10 is divided by k.
4
Let l = -19 - -37. Calculate the remainder when 422 is divided by (-710)/(-15)*9*3/l.
67
Suppose -5*n + 490 = 4*z, 0*n = 3*n + 6. Suppose -5*b - 286 = -2*l, l - b - 15 = z. What is the remainder when l is divided by (-7623)/(-264) + (-63)/72?
26
Let w(t) = 6*t**2 + 6*t - 9. Suppose -17 = -5*p - 67. Let v be (1*-5)/(25/p). What is the remainder when w(v) is divided by 6?
3
Let m(l) = 1118*l + 10. What is the remainder when 228 is divided by m(0)?
8
Let x be ((-1)/((-4)/69))/(3/16). Let f = x + -66. Let s(p) = -8*p - 2. What is the remainder when f is divided by s(-2)?
12
Let d = 9043 + -8600. What is the remainder when d is divided by 141?
20
Let t be 8/2*(-18434)/(-104). Let w = 773 - t. Calculate the remainder when 186 is divided by w.
58
Suppose -5*d - 45 = z, 19*d + 49 = 16*d - 5*z. Calculate the remainder when 9/6 + ((-2628)/d - -4) is divided by 14.
12
Suppose 0 = -4*u - 2*x + 522, 926*u + 4*x - 524 = 922*u. Calculate the remainder when 349 is divided by u.
89
Let l(f) = -3*f**2 + 113*f - 1010. Let i = 361 + -242. Calculate the remainder when i is divided by l(18).
15
Suppose 7*i + 18 = 5*i. Let g(k) = -2*k**3 - 18*k**2 + k + 35. Calculate the remainder when g(i) is divided by 7.
5
Let k = -105 - 99. Let u = 206 + k. Calculate the remainder when 17 is divided by u.
1
Let q(s) = -2*s**3 + 3*s**2 + 2*s - 4. Let t be q(2). Let r = -198 - -112. Let b = t - r. What is the remainder when b is divided by 43?
39
Calculate the remainder when 8904 is divided by 5/(-6) + (-1474)/(-12).
120
Suppose 14 = 5*a + x, x = a - 12 + 14. What is the remainder when 3 + (-15195)/(-35) + a/(-14) is divided by 22?
19
Let r = -273 + 287. What is the remainder when 112 is divided by ((-7)/r)/((-2)/92)?
20
What is the remainder when -45*(-1260)/(-810)*(-24)/14 is divided by 64?
56
Let m = 15 + -39. Let z be -4 - ((0 - 4) + m). Suppose -12*y + z = -8*y. What is the remainder when 20 is divided by y?
2
Let a(s) = -63*s - 747. What is the remainder when 9935 is divided by a(-13)?
71
Let a(o) = -47*o**2 + 97*o - 3. Let h(x) = -x**3 + 14*x**2 + 21*x - 43. What is the remainder when h(15) is divided by a(2)?
2
Calculate the remainder when (-3)/33 - 79120/(-88) is divided by 30.
29
Suppose 0*l + 72 = 4*l. Let u = 30 - l. Suppose -3*n = -4*n + u. Calculate the remainder when 35 is divided by n.
11
Suppose -111*g = -122*g - 154. What is the remainder when -4 + 0 + g + 68/2 is divided by 3?
1
Let m(p) = -6*p**2 + 4. Let u(i) = -5*i**2 - i + 2. Let x be u(1). Let t be m(x). Let q = -74 - t. Calculate the remainder when 67 is divided by q.
13
Suppose 57*l - 216 = 3*l. Suppose x = 4*f - 995, f - 502 = -f - l*x. Suppose 0*r + 2*r = 100. Calculate the remainder when f is divided by r.