32.
26
Suppose 11 = t + 1. Suppose 9*b + t = -8. What is the remainder when 155/(-50)*-5 - (-1)/b is divided by 3?
0
Suppose -18*i + 66*i - 2898 = -78*i. What is the remainder when 1006 is divided by i?
17
Suppose 3*c - 1238 = x, -1654 = -8*c + 4*c - 2*x. Let y = c - 406. What is the remainder when 8 is divided by y?
1
Let b = -34 - -64. Let i(g) = -g**3 - 2*g**2 - g + 8. Let f(v) = 5*v - 5. Let w be f(1). Calculate the remainder when b is divided by i(w).
6
Let c(u) = -u**3 + 9*u**2 - 8*u - 8. Let s be c(9). Let x = -63 - s. Suppose -2*y + 6 = 2*i - 4, 0 = i - 3*y - 9. What is the remainder when x is divided by i?
5
Let y be 104/44*-5 - 2/11. Let f be y/(-12) - 0*2/2. Calculate the remainder when 19 is divided by 20*(f/4 - 0).
4
Let i(r) = -2*r**2 + 235*r - 1720. What is the remainder when 2825 is divided by i(8)?
9
Let h = -2 + 29. Suppose -7*u + 10*u - p - 2748 = 0, 0 = 5*u + p - 4580. Calculate the remainder when u is divided by h.
25
Let w(l) = l**2 + 48*l - 44*l + 16 - 4. Let k(i) = -8*i + 7. Calculate the remainder when k(-11) is divided by w(-7).
29
Let x = -1598 + 1636. Suppose -184 = -5*n + 356. What is the remainder when n is divided by x?
32
Let h(m) = m**2 + 62*m + 772. Calculate the remainder when (-235)/25*1*-5 is divided by h(-45).
5
Let i = 14946 + -14931. What is the remainder when 388 is divided by i?
13
Suppose -12*r + 8836 - 22535 = -115*r. What is the remainder when 631 is divided by r?
99
Suppose 5*p = 2*t + 50, 2*p + 9*t - 11*t - 26 = 0. Calculate the remainder when 256 is divided by -8*1*(-52)/p.
48
Let z(v) = v**3 - 10*v**2 - 24*v + 17. What is the remainder when (-5052)/(-20) - (-3)/((-90)/(-12)) is divided by z(12)?
15
Suppose 3*z = -j + 550, -3*j + 2*j + 4 = 0. Let r = -797 - -796. What is the remainder when 67 is divided by r - z/(-10) - (-12)/(-60)?
16
Let j(o) = -11*o + 12*o - 13*o - 12 - 8. Suppose 0 = -2*g - 3*m + 242 + 5, 0 = g + 3*m - 131. Calculate the remainder when g is divided by j(-5).
36
Suppose -3*p + 2*p + 4*n = -50, 5*n - 5 = -p. Calculate the remainder when 319 is divided by 345/p*(2 + 2).
43
Suppose 4*f - 4*v = 20, f = -v + 6*v + 17. What is the remainder when 83 is divided by (1 - 6) + (f - -24)?
20
Let p = 361 + -361. Suppose 2*c = -p*c + b + 258, -4*c + 528 = b. Calculate the remainder when c is divided by 33.
32
Suppose -3*b - 55 = -2*v, 4*b - v = -5*v - 100. Calculate the remainder when 62 is divided by -1 - b/9 - 210/(-18).
10
Let b = -37 - 43. Let t = 157 + b. What is the remainder when t is divided by 27?
23
Let i(g) = 58*g**3 - 4*g - 1. Let n(m) = 115*m**3 - m**2 - 7*m - 1. Let u(z) = 5*i(z) - 3*n(z). Calculate the remainder when u(-1) is divided by 19.
17
Let f(s) = 13*s + 461. Calculate the remainder when 271 is divided by f(-33).
15
Let x = -3433 - -4544. Calculate the remainder when x is divided by 45.
31
Let k = 6613 - 6563. What is the remainder when 917 is divided by k?
17
Let o(z) = 25*z + 2. Suppose 103*p - 2061 = 94*p. Let j = -203 + p. What is the remainder when o(3) is divided by j?
25
Let b(q) = -398*q - 4973. Calculate the remainder when 589 is divided by b(-13).
187
Suppose -165 = -13*y + 901. Let h = -80 + y. Calculate the remainder when 14 is divided by h.
0
Suppose -3*a + 9 = 4*p, -4*a + 3*p + 11 = 8*p. What is the remainder when 524 is divided by (111 - (7 + a))*(3 + -2)?
104
Suppose -2*x = c + 73, -c + 24 = -5*x - 148. What is the remainder when (-14)/x - ((-12036)/15)/4 is divided by 102?
99
Let f = -15031 + 15042. Calculate the remainder when 1241 is divided by f.
9
Calculate the remainder when 99 is divided by (4 - -3) + 63 - 0.
29
Suppose 15 = -5*w, -5*v + 913 + 196 = -3*w. What is the remainder when v is divided by 115?
105
Calculate the remainder when 8221 is divided by (140/(-24))/(21/(-18) + 1).
31
Let v be (-7)/(-49) - 1/7. Suppose 8*u - 5*u = v. Suppose u = -w - 4*w + 145. Calculate the remainder when 112 is divided by w.
25
Suppose -573 = -u + 153. Suppose -11*k - 33 = -u. Let f = -29 + 46. What is the remainder when k is divided by f?
12
Let t(b) = 32*b - 13. Let h(o) = 2*o**2 + 26*o + 27. Let g be h(-12). Calculate the remainder when t(g) is divided by 17.
15
Suppose -3*a = 582 + 591. Let v = -372 - a. Calculate the remainder when 71 is divided by v.
14
Suppose -126*k + 116*k + 8070 = 0. Calculate the remainder when k is divided by 54.
51
Suppose -10*z + 6 = -12*z. Calculate the remainder when 467 is divided by 3/6 + 805/10 + z.
77
Let j be (-7)/(-56)*66 + 1/(-4). Let r(b) = 6*b + 5*b - j - 13*b + 5*b. What is the remainder when 63 is divided by r(7)?
11
Suppose 0 = -3*p - 5*r - 41 - 3, 0 = p + 5*r + 28. Let q(o) = -15*o + 18. Let i be q(p). Let h = -110 + i. What is the remainder when 83 is divided by h?
27
Suppose 0 = -2*m + 60 + 32. Suppose -97 + 3254 = -11*c. What is the remainder when m is divided by (6/8)/(-5 - c/56)?
4
Let r be ((-3)/6)/((-2)/16). Suppose 640 = r*g + 60. What is the remainder when g is divided by (-69 + (12 - -20))/(-1)?
34
Suppose 0 = -14*f + 11*f + 4*k - 9, -5*k = 4*f - 50. What is the remainder when 84 is divided by f?
4
Suppose -17*m + 15*m = -2*g - 74, 5*m + g = 167. Suppose 0 = 4*r + z - 92, -m*r - z = -29*r - 116. What is the remainder when 38 is divided by r?
14
Suppose 0 = g - 3*g + 222. Suppose 71*p + 39 = 74*p. Suppose -2*l + 46 = 3*a - p, -2*l - a + 57 = 0. Calculate the remainder when g is divided by l.
27
Suppose -6 - 10 = 2*g. Calculate the remainder when 10/g + 31056/64 is divided by 98.
92
Let w = 74 - 70. Calculate the remainder when 90 is divided by (-72)/(w - -5) + 34.
12
Let r be (-2570)/20 - ((-27)/6 - -3). Let t = -74 - r. Calculate the remainder when t is divided by 27.
26
Suppose 182 = -0*z + 13*z. Let j(l) = l**3 - 12*l**2 - 18*l + 17. Calculate the remainder when j(z) is divided by 55.
47
Let r(f) = -2*f**2 - 4*f + 17. Let m be r(0). Suppose m*n - 564 = -3. Suppose -p - 45 = -6*p. What is the remainder when n is divided by p?
6
Suppose -364*x - 6528 = -1621232. Calculate the remainder when x is divided by 32.
20
Let i(p) = p**3 + 6*p**2 + p + 25. Suppose 33 = 11*t + 99. What is the remainder when 72 is divided by i(t)?
15
Suppose -32*k = -38*k + 54. Let s = -7 + k. Calculate the remainder when 27 is divided by -15*(-2)/(-12)*-4 + s.
3
Suppose -2*b + 24 = 2*m, 0 = 2*b + 4*m - 30 + 6. Let f be (-6)/b*((-3)/1 - 3). Suppose -7*h = -f*h - 196. What is the remainder when h is divided by 17?
15
Suppose -72 = -33*v + 21*v. Suppose -v = -o + 10. Calculate the remainder when (49/(-28))/((-1)/36) is divided by o.
15
Let q = 4 - -18. Let b = 4938 - 4935. What is the remainder when q is divided by b?
1
Suppose 2*r + 2 - 4 = -3*l, -5*l + 5*r = -45. Let t be (-6 - 2)/l*2. What is the remainder when 10/t*552/(-30) is divided by 18?
10
Calculate the remainder when 362 is divided by -1 + -7 - (-1197)/63.
10
Let g = 412 + -255. Calculate the remainder when g is divided by 26.
1
Calculate the remainder when 6*63/(-108) - ((-1268)/8)/1 is divided by 54.
47
Suppose -4*f = -4*o + 420, 0 = -303*o + 298*o + f + 517. Calculate the remainder when 232 is divided by o.
26
Let d(r) = 3*r**3 - 16*r**2 + 7*r - 4. Let k be d(5). Suppose 3*p - k*p = -507. Calculate the remainder when p is divided by 34.
33
Let m(q) = q**2 - 18*q + 77. Let x be m(5). Calculate the remainder when 89 is divided by x/15*130/4.
11
Suppose 37*u + 362 = 1398. Let a(y) = 5*y**2 + 1. Let r(z) = -z**2 + 9*z - 7. Let s be r(8). What is the remainder when u is divided by a(s)?
4
Let j(o) = 232*o - 1303. What is the remainder when j(6) is divided by 72?
17
Let j(k) = 417*k - 2164. What is the remainder when j(11) is divided by 202?
201
Let n = -103 + 99. What is the remainder when 4*3/4*n/(-3) is divided by 2?
0
Suppose 0 = -318*w + 471*w - 6786 - 99. Let z(x) = 2*x**2 - 6*x. Let i be z(5). Calculate the remainder when (1 + -45)/((-5)/i) is divided by w.
41
Suppose -4*c + 4*o = -32, 261*c - 16 = 259*c - 4*o. Calculate the remainder when 284/6*21/14 is divided by c.
7
Let s(o) = 65*o - 508. Calculate the remainder when 4655 is divided by s(8).
11
Suppose 2*h + w = 68, -h - w + 19 = -13. Let n(t) be the first derivative of t**2/2 + 8*t + 15. What is the remainder when h is divided by n(5)?
10
Suppose 4*q + 29*b = 30*b + 5892, -4*q + 4*b + 5904 = 0. Calculate the rem