0 = 5*b - 3*b - x. Suppose r - b = -3*z, z - 80 = r - 22. What is the remainder when z is divided by 16?
14
Let x(f) = 22. Let l(r) = -2*r + 20. Let j(u) = -6*l(u) + 4*x(u). What is the remainder when j(9) is divided by 16?
12
Let w be (90/4)/(-9)*-2. Suppose w*r + r = 12. Suppose 0 = 4*h - 3*j - 2*j - 40, -r*h + j = -26. Calculate the remainder when 27 is divided by h.
12
Let c(d) = -32*d + 186. Let u be c(6). Calculate the remainder when (-59)/((-5 - u)/(-1)) is divided by 9*(0 - (-20)/6).
29
Let w(b) = 10*b + 4. Suppose x - 33 = -k + 4*x, 2*x = -5*k + 182. Suppose k = -11*h + 190. Calculate the remainder when w(5) is divided by h.
12
Let d = -544 + 572. Suppose 119 = d*y - 2653. Calculate the remainder when y is divided by 30.
9
Suppose -2*u - 10*b = -5*b - 150, -2*b - 66 = -2*u. Let v = 451 + 223. What is the remainder when v is divided by u?
44
Suppose -2*l = -4*n - 1118, 2*l - 1114 = 8*n - 6*n. What is the remainder when 560 is divided by l?
5
Let u = -41 + 48. What is the remainder when (2 + (-5)/15)/((-5)/(-45)) is divided by u?
1
Suppose -89 = 50*j - 1039. Calculate the remainder when 121 is divided by j.
7
Let l(o) = o**3 + 6*o**2 - 3*o - 5. Suppose 8*z - 4466 = -3*z. Let k = 424 - z. What is the remainder when l(-5) is divided by k?
17
What is the remainder when 45217*48/136 - 3/(-51) is divided by 8?
7
Let o = 291 - 241. Suppose 2*t - 4 + 22 = -2*y, -2*y = -t - 15. Let x = t + 20. Calculate the remainder when o is divided by x.
5
Let y = 12647 + -7681. Calculate the remainder when y is divided by 142.
138
Let j(g) = 15*g + 19. Let f(c) = -17*c - 19. Let p(t) = 4*f(t) + 5*j(t). Calculate the remainder when 2/(0 - (-8)/188) is divided by p(-1).
11
Suppose -4*x + i + 44 = -3*i, -45 = -5*x + 3*i. Suppose -x*r = -2*r - 28. What is the remainder when 46 is divided by r?
4
Let m = 4462 - 4449. Suppose r - 3 + 1 = 0. Suppose -r*y = -y - 37. Calculate the remainder when y is divided by m.
11
Let z(r) = -r**2 - r + 97. Let n be z(0). Let a = 97 - n. Suppose -95 = -5*x - a*x. Calculate the remainder when 35 is divided by x.
16
Calculate the remainder when 237 is divided by 2/(12/146)*(-7 + 10).
18
Suppose 0 = 2*f - 2*r - 104, -4*f + 5*r = 3*r - 206. Let i = 11 - 6. Suppose 0*t + 2*j = 2*t - 46, i*t - 85 = -j. What is the remainder when f is divided by t?
15
Let b(c) = -153*c - 591. What is the remainder when 38 is divided by b(-4)?
17
Suppose -5*v = 2*y - 3916, -y + 14*v - 11*v + 1936 = 0. What is the remainder when y is divided by 39?
37
Suppose -3843 = -127*k + 66*k. Calculate the remainder when 190 is divided by k.
1
Let r(z) = -z**2 - z + 13. Calculate the remainder when 6 - (-6*3/(-72)*-20 + -35) is divided by r(0).
7
Let m(y) = -2*y**3 - 10*y**2 - 6*y - 70. Let l be m(-7). Suppose 4*f - 39*j + 35*j - l = 0, -5*f - j = -240. What is the remainder when f is divided by 36?
11
Suppose 5*y - 12*c + 15*c = 486, 684 = 7*y + 3*c. Calculate the remainder when y is divided by 86.
13
Let g(m) = -2*m**3 - 6*m**2 + 4*m + 10. Let x be g(-5). Let b(l) = 7*l + 12. Let q be b(-9). Let f = q + x. What is the remainder when f is divided by 15?
9
Suppose 5 = -2*z + 19. Suppose 5*i = -z*i + 2352. What is the remainder when i is divided by 8?
4
Suppose -o = -3*f - 98, -25*o + 20*o = 5*f - 490. What is the remainder when 1466 is divided by o?
94
Suppose -3120 - 10269 - 22931 = -20*r. What is the remainder when r is divided by 70?
66
Let v(t) be the second derivative of -t**3/3 + 3*t**2/2 + 24*t. Suppose -170 = -5*w + 50. What is the remainder when w is divided by v(-6)?
14
Suppose -836 = -57*p + 361. Let h(g) = -g + 1. Let m be h(-4). Suppose 190 + 205 = m*j. Calculate the remainder when j is divided by p.
16
Let d be (9/6)/(15/24 - 1). Calculate the remainder when 91 is divided by d - 45/((-36)/8 - -3).
13
Let g = -2764 + 3050. What is the remainder when g is divided by 20?
6
Suppose 5*l - 3*p - 1695 = 2*p, -4*p = 5*l - 1713. What is the remainder when l is divided by 82?
13
Suppose 36*i - 105 = i. Suppose i*m + m + 2 = -5*x, 5*x = 3*m - 16. Suppose 3*v - 23 = -8, k - 27 = -5*v. What is the remainder when k is divided by m?
0
Suppose -5*c = 5*m + 20, -5*c - 13 = 4*m + 7. What is the remainder when (-121 + 1)/(-1)*c/(-8) is divided by 18?
6
Suppose 25 + 99 = -4*i. Let m = 36 + i. Suppose 3*z + 6*v - 31 = 7*v, -3*z + 39 = -3*v. What is the remainder when z is divided by m?
4
Let m = -65 - -83. Let p(j) = 15*j - 19. Let t(q) = -45*q + 57. Let l(c) = -8*p(c) - 3*t(c). Calculate the remainder when l(6) is divided by m.
17
Suppose 2*m + w - 105 = 0, -10*w = -12*w - 6. Let a = m - -23. Suppose 0 = 3*i - 66 - 12. Calculate the remainder when a is divided by i.
25
Let q(s) = s + 7. Let g be q(5). Suppose -g*l = -11*l - 4. Suppose 0 = -5*h - 4*i + 25, 3*h - 48 + 1 = l*i. What is the remainder when 14 is divided by h?
5
Let r = 11489 + -11425. Calculate the remainder when 3579 is divided by r.
59
Suppose -5*k - 2*i = -487, 3*k - 14*i - 296 = -19*i. What is the remainder when 573 is divided by k?
88
Calculate the remainder when 203 is divided by (-96 + 22)*4/(-8).
18
Let z(m) = 101*m - 2652. What is the remainder when 565 is divided by z(27)?
40
Suppose 1141*z + 741 = 1180*z. Suppose -5*t + 456 = 136. What is the remainder when t is divided by z?
7
Let o = -34 + 38. Let u(z) = 7*z - 17. Let b be u(o). Suppose 0 = -d + b. Calculate the remainder when 29 is divided by d.
7
Let d(k) be the third derivative of -k**5/60 - k**4/8 + k**3/3 + 7*k**2 - 1. What is the remainder when 51 is divided by d(-2)?
3
Let s be ((-3)/(-9)*-1)/((-2)/762). Suppose -3*p - 2*y + 169 = 0, 5*y + 29 = -2*p + s. Let w = p + -21. Calculate the remainder when w is divided by 14.
10
Let y be 0/(-1*(1 - 4)/(-3)). Suppose a - 2*a - 364 = -4*j, y = -2*j + 3*a + 172. Suppose 4*r - 44 = j. What is the remainder when r is divided by 7?
6
Let j(d) = d**3 - 40*d**2 - 41*d + 1092. Calculate the remainder when j(41) is divided by 45.
12
Let w(b) = b**2 + 2*b - 5. Let s be w(-5). Suppose -2*c - t = 2, -2*c - 2*t - 8 = -s. Let j(r) = -7*r - 9. Calculate the remainder when j(c) is divided by 7.
5
Suppose 174*a = 435*a - 201*a - 3840. Calculate the remainder when 134 is divided by a.
6
Let w(y) = -4*y**2 - 28*y - 13. Let p be -3 - (0 + -4 - -7). What is the remainder when 43 is divided by w(p)?
10
What is the remainder when 787 is divided by (6 + -4)*4*(0 + 9)?
67
Suppose 3*y = 8 - 2. Suppose -q - 52 = -y*j + 30, 0 = -3*q. What is the remainder when j is divided by 5 + 5 - (1 - -2)?
6
Let h(b) = 8*b**3 - 2*b**2 - 4*b - 8. Let w be h(-3). Let z = -201 - w. What is the remainder when 55 is divided by z?
26
Suppose 312 = 6*v + 6*v. Suppose -c + 38 = 5*s, 15 = c + 4*s - v. Calculate the remainder when c is divided by (154/(-28))/(2/(-4)).
9
What is the remainder when (-8631)/(-5) - 20/100 is divided by 16?
14
Suppose 30 = 4*s - 3*s - 4*t, 2*t + 246 = 6*s. Calculate the remainder when 1024 is divided by s.
16
Let h(f) = -11*f + 105. Let d = 965 - 658. What is the remainder when d is divided by h(7)?
27
Suppose 27*r - 5377 - 3994 + 1784 = 0. What is the remainder when 1080 is divided by r?
237
Suppose 0 = 3*h - r - 21, 50*h = 52*h + 4*r - 28. Let a(w) = w**2 + 2*w + 3. Calculate the remainder when h is divided by a(-2).
2
Suppose -602 = -23*c - 20*c. Suppose -3*j - c = -110. What is the remainder when 138 is divided by j?
10
Let i(p) = p**3 - 10*p**2 + 11*p - 34. Let a be i(9). Let u(v) = v**2 + 15*v - 7. What is the remainder when 52 is divided by u(a)?
7
Let n(d) = 8*d**2 + 23*d + 15. Let k = -50 + 105. Calculate the remainder when k is divided by n(-2).
0
Let m = 139 - 81. What is the remainder when m is divided by (2 - 8/6)*-36*205/(-328)?
13
Let c(h) = -59*h + 982. What is the remainder when c(15) is divided by 33?
31
Let p = 56262 - 38817. What is the remainder when p is divided by 239?
237
Let g(k) = 11 + 19 - 27 - 3*k. What is the remainder when g(-5) is divided by 4?
2
Let h = 19 + -13. Suppose 0 = -2*s + h + 4. Suppose 3*l - 2*f - 1 = 3, -s*f = -3*l - 8. What is the remainder when 19 is divided by l?
3
Suppose 4*i - 896*a - 17 = -891*a, 0 = -i - 3*a + 17. What is the remainder when 376 is divided by i?
0
What is the remainder when 2200 is divided by (-40)/(-24) + (-3179)/(-51) + 7?
70
Let q(w) = -2*w**3 + 