*b + 5*q = -24, -5*q = 2*b - 2*q - 24. Suppose -b*o = -1565 + 197. Let v = o + -110. Calculate the remainder when 11 is divided by v.
3
Let c be 6/9 - 73/(-3). Suppose c = 7*z - 38. Calculate the remainder when 32 is divided by z.
5
Let r be (-36)/20 + 4/5. Calculate the remainder when 135 is divided by (r + (15 - 6))/1.
7
Let x = 4 - 2. Let a(z) = -130*z. Let s(d) = d. Let k(i) = -2*a(i) - 234*s(i). What is the remainder when k(x) is divided by 27?
25
Suppose -26 = -b - 2*z + 130, -5*b + 756 = -2*z. Calculate the remainder when 452 is divided by b.
148
Let j(y) = 13*y**2 - 105*y - 79. Let o(g) = g**3 - 8*g**2 - g + 3. Let q be o(9). Suppose -2*w = 3*w - q. Calculate the remainder when j(9) is divided by w.
14
Let z(j) = -j**2 + 16*j. Suppose -3*a = -51 + 3. Suppose 0 = -2*u - 3*d + a, 2*u + 2*u - d - 60 = 0. What is the remainder when z(u) is divided by 8?
4
Let r(u) = u**2 - 3*u - 36. Let a be r(7). Calculate the remainder when 84 - (-6)/a*-4 is divided by 9.
6
Suppose -5*v = -2*r + 21, -r = -5*v - 21 + 8. Calculate the remainder when 865 is divided by r.
1
Suppose -2*l - 6*x = -11*x + 454, -5*x = 10. Let q = 251 + l. What is the remainder when q is divided by 8?
3
Let g = 19 - 19. Suppose y - 6*y + 340 = g. Let j = y + 45. Calculate the remainder when j is divided by 19.
18
Suppose 0 = 3*q - 3*l - 8 + 2, 0 = -2*q + 4*l. Let h(u) = u**3 + 6*u**2 + 12. Let j be 4/(-36) - (-106)/(-18). What is the remainder when h(j) is divided by q?
0
Let f = 13267 + -13096. What is the remainder when 347 is divided by f?
5
Calculate the remainder when (-68 + 1)*(13 - (14 - 0)) is divided by 7.
4
Suppose 0 = 3*f - n - n - 739, -2*f - 4*n = -514. Let r = -11910 + 11988. What is the remainder when f is divided by r?
15
What is the remainder when 12492/16 + (-152)/32 + 6 is divided by 112?
110
Let a = 163 + -146. Suppose -324 = -d - a*d. Calculate the remainder when 84 is divided by d.
12
Let k(w) = 4*w**3 - 2*w**2 - w - 2. Suppose 0 = 24*i - 895 + 151. Let s = i - 9. Calculate the remainder when k(3) is divided by s.
19
Let r(g) be the first derivative of 17*g**2/2 - 4*g - 2. Let h(c) = -c**3 - 8*c**2 + 9*c + 2. Let f be h(-9). What is the remainder when r(f) is divided by 8?
6
Suppose 6*o - 12*o + 186 = 0. Let q = o + 1. Suppose 40 = 4*y - 2*x, -3*y + 2*x = -4*y + 5. What is the remainder when q is divided by y?
5
Suppose 3*n = 3*j - 0*j + 3, -n - 2*j = 5. Let d = 711 - 689. What is the remainder when d is divided by n + 3 - (-2 + -10)?
8
Suppose 26 = 2*l - 7*x + 3*x, 3*x = -6. Let h = -103820 + 103888. Calculate the remainder when h is divided by l.
5
Let h = -147 + 156. What is the remainder when 73 is divided by -2 - (9*3)/(h - 10)?
23
Let g = -24264 - -25332. What is the remainder when g is divided by 267?
0
Let i = 8388 + -8367. Suppose -4*g + 12 = 4. Suppose 4*w = 30 + g. What is the remainder when i is divided by w?
5
Let h = -12 + -31. Let p = 31 - h. Let s = p + -62. What is the remainder when 47 is divided by s?
11
Suppose -4*f + 2269 = -5*v, -4*f + 1136 = -4*v - 1136. Let l = -230 + f. Calculate the remainder when l is divided by 69.
65
Let w = -7212 + 11213. What is the remainder when w is divided by 15?
11
Suppose -397 = -5*a - 3*q, -3*q + 293 + 27 = 4*a. Suppose 67 = 4*r + z, -4*r + a = -2*z - 5. Calculate the remainder when 248 is divided by r.
14
Let j(t) = -t**2 - 2*t + 1. Let r(z) = -z**3 + 28*z**2 - 7*z - 4. Let c(n) = -4*j(n) + r(n). Calculate the remainder when 94 is divided by c(32).
22
Suppose -5*q + 624 + 366 = 0. Let k = q - -113. What is the remainder when k is divided by 52?
51
Let r = -41898 + 41918. What is the remainder when (-12)/(-4) - 392/(-2) is divided by r?
19
What is the remainder when (((-1425)/10)/3)/(-3 - 355/(-120)) is divided by 380?
0
Let l(m) = -m**3 + 46*m - 28. Calculate the remainder when 2125 is divided by l(6).
13
Let b = 2265 - 1550. Let q = b + -633. What is the remainder when q is divided by 32?
18
Let y be 177*(-2)/(-6 + 0). Let h = 11 + y. Let i = -543 + 561. What is the remainder when h is divided by i?
16
Let p = -36 + 35. Let a be (1 - 0 - 2)/p + 27. Suppose a*d - 10 = 26*d. What is the remainder when d is divided by 5?
0
Let u(g) = -22*g - 6. Let t(q) = 21*q + 3. Let p(b) = -6*t(b) - 5*u(b). Let z(n) = 21*n**2 + 3*n + 1. Calculate the remainder when z(-2) is divided by p(-1).
23
Let v(c) = 3*c**3 - 9*c**2 + c - 10. Suppose -10*b - 290 = -537 - 553. What is the remainder when v(8) is divided by b?
78
Suppose -7*s - 2*o = -2*s - 3444, 2*s = 5*o + 1395. Suppose 8*a - s = -2*a. What is the remainder when a is divided by 14?
13
Let i = 4 - 1. Suppose -2*m = 5*p - 943 - 2044, 0 = i*p + m - 1793. Calculate the remainder when p is divided by 30.
29
Suppose 0 = 3*l - 32 - 34. Suppose 6*m - 2*n + 46 = 10*m, 4*m + 3*n = 45. What is the remainder when l is divided by m?
10
Let r = -60 + 134. Let g = -120 + 127. Calculate the remainder when r is divided by g.
4
Suppose -4*o + 37 = -o + d, -3*o + d = -29. Let u(v) = v**2 + 2 + 47*v**2 - v - 6*v**2. Calculate the remainder when u(1) is divided by o.
10
Suppose -31 - 73 = -2*z. Calculate the remainder when z is divided by (1136/184)/2 + (-12)/138.
1
Suppose 28892 = 160*s + 49*s - 11027. Suppose -122 = 4*u - 322. What is the remainder when s is divided by u?
41
Suppose -25*m + 9272 + 13932 = -11346. Calculate the remainder when m is divided by 55.
7
Suppose -405*h - 51 = -408*h. Suppose -4*t + 90 = -2*t. Calculate the remainder when t is divided by h.
11
Suppose -10*q + 1630 = 4*m - 12*q, q = -3. Let d = 35 - 27. Calculate the remainder when m is divided by d.
6
Suppose -26*z + 9*z + 161 = -94. What is the remainder when (-1 + -1)*75/(-3) is divided by z?
5
Let q = -6544 - -7114. What is the remainder when q is divided by 86?
54
Let w = 71185 - 71107. Let z = 6 - 4. Calculate the remainder when w is divided by (3/z)/(3/54).
24
Let l = 10832 + -8862. What is the remainder when l is divided by 337?
285
Suppose 10*i = -376 + 106. Let v = i + 15. What is the remainder when ((-2)/(-3))/(4/v)*-41 is divided by 14?
12
Suppose -204*k + 84889 + 4957 = -37*k. Calculate the remainder when k is divided by 15.
13
Let c(n) = -10*n + 28. Let a be c(3). Calculate the remainder when 62/6 + (-4)/(-6) is divided by -5 + 4 + a + (42 - 36).
2
Let h = -987 + 1054. Let l = 131 - 67. Calculate the remainder when h is divided by l.
3
Suppose 0 = 611*k - 612*k + 43. Calculate the remainder when 1369 is divided by k.
36
Suppose 69*w - 64*w - 50 = 0. Let g(f) = 4*f - 26. What is the remainder when 545 is divided by g(w)?
13
Let a(s) = -s**3 - 7*s**2 - 6*s + 3. Suppose 3*y - 6 = 4*y. Let m = -493 + 498. Calculate the remainder when m is divided by a(y).
2
Let o(y) = 6*y**2 - y + 1. Let z = 33518 + -33357. What is the remainder when z is divided by o(-2)?
26
Suppose -3*y + 2*q = -27016, -7*y + 3*y = 3*q - 36027. Calculate the remainder when y is divided by 33.
30
Suppose 0 = 2*x + 4 - 12. Suppose -16 = 5*r - 6, -x = 4*l - 4*r. Let t = l - -11. What is the remainder when 22 is divided by t?
6
Suppose 2*z + z = 1839. Suppose -4*n + 7*v + 145 = 0, 137 = 5*n + 3*v - 9. Suppose n + z = 14*g. What is the remainder when 137 is divided by g?
45
Let d = -799 - -804. Let t(n) = 3*n. Let k be t(2). Let j = 25 - k. Calculate the remainder when j is divided by d.
4
Let f = 1645 + -533. Suppose 9*c = -725 + f. Calculate the remainder when 75 is divided by c.
32
Let k = 84 + 534. What is the remainder when k is divided by 45?
33
Let l be (-16328)/39*(-12)/16. Suppose -1322 = -28*v - l. Calculate the remainder when 207 is divided by v.
27
Let d = 1437 - 1267. What is the remainder when d is divided by 36?
26
Suppose -o - o + 4*i - 12 = 0, -5*i + 5 = 0. Let u be (-682)/55 - o/10. Let v = u - -31. What is the remainder when 72 is divided by v?
15
Let d = 9389 - 9386. Calculate the remainder when 412 is divided by d.
1
Let m(v) = -v**3 - 4*v**2 - 6*v - 3. Let u be m(-3). Let t(x) = 0*x - 7*x - 26 + 8 + u. What is the remainder when t(-6) is divided by 16?
14
Let c(h) be the third derivative of 5*h**4/3 + 5*h**3/3 + 16*h**2. Let g(t) = t**2 + 31. Calculate the remainder when c(2) is divided by g(0).
28
Let g(l) = 4*l**2 - 8*l + 6. Let k be g(-7). Let h = k - 210. What is the remainder when 1198 is divided by h?
46