-3 + 6 + -5)*(-205)/a is divided by 21.
20
Let b(h) = h**3 + h**2 - 7*h - 1. Let c be b(-3). Suppose -c*p - 4*y + 170 = 0, 4*p - 5*y - 340 = -3*y. Calculate the remainder when p is divided by 10.
5
Suppose 4*t - 6057 = 13*y, -4*y = t - 529 - 1007. What is the remainder when t is divided by 41?
7
Let z(f) = -2*f + 59. Let p = 38 - 30. Suppose 6*q - p*q = 0. Calculate the remainder when z(q) is divided by 15.
14
Suppose -5*y + 4*u - 66 = 0, -u - 61 = 4*y - 25. Let m(k) = 1 - 9*k**2 + 7*k + 7*k**3 + k**3 + 2 - 9*k**3. What is the remainder when 195 is divided by m(y)?
30
Let c be 3633/14 - 2/4*-1. Suppose -156 = -3*i + 4*b - 2*b, 5*i - 4*b - c = 0. What is the remainder when i is divided by (-423)/(-15) + 4/(-20)?
24
Let m(u) = -7*u**2 + 31*u + 116. Suppose -3*z + 0*z + 224 = 5*a, 3*z - 184 = 5*a. Suppose 24 = -4*o + z. Calculate the remainder when m(6) is divided by o.
6
Let f = -154 - -238. Suppose -5*v = -v - f. Calculate the remainder when 61 is divided by v.
19
Suppose -52*u = -59*u + 462. Let t = u + -9. Calculate the remainder when 225 is divided by t.
54
Calculate the remainder when ((-42806)/(-51))/((-6)/(-18)) is divided by 70.
68
Let x(q) = 15*q**2 + 5*q + 9. Calculate the remainder when x(-5) is divided by 45.
44
Suppose -5*t + 17 + 1 = -4*c, -4*c = -2*t. Suppose 0 = 26*n - 28*n + t. Suppose -n*v = 69 - 183. Calculate the remainder when v is divided by 13.
12
Let i(c) be the first derivative of -c**2 - 18*c + 57. Let u(m) = -m**2 - 15*m + 18. Let r be u(-17). Calculate the remainder when i(r) is divided by 7.
0
Suppose 42*x - 8*x = 72182. Calculate the remainder when x is divided by 59.
58
Suppose 37 = 5*h - 48. Let w = h + -18. Calculate the remainder when 62 is divided by w/((3/(-3))/16).
14
Let z(i) = i**3 + 9*i**2 + 4*i + 19. Let k = -1032 + 1060. What is the remainder when z(-8) is divided by k?
23
Let u(a) = -108*a + 12053. Calculate the remainder when u(103) is divided by 29.
1
Let s = -349 - -537. Let t = s - 181. Calculate the remainder when 14 is divided by t.
0
Suppose 0 = 19*h - 24 - 52. Suppose 0 = -h*j + 61 + 11. Let f(o) = o**3 + o**2 - 2. Calculate the remainder when j is divided by f(2).
8
Suppose -9 = 4*l - 1. Let h be (l/4)/1*-484. Suppose 67 = -7*q + h. Calculate the remainder when 49 is divided by q.
24
Suppose 3*u + 276 = 7*u. Let j be 3/(21/(-176)) - (-4)/28. Let r(m) = m**3 + 24*m**2 - 29*m - 92. What is the remainder when u is divided by r(j)?
5
Let i(l) = -l**3 + 4*l**2 + 5*l + 7. Let k(j) = -12*j + 52. Let w be k(4). Calculate the remainder when i(w) is divided by 15.
12
Let u(i) = -i**3 + 157*i**2 + 163*i + 480. What is the remainder when u(158) is divided by 14?
10
Calculate the remainder when 4/128*8 + 150320/64 is divided by 1174.
1
Let w = -58 + 15. Let m = 102 + w. Suppose 19 = 6*b - m. What is the remainder when b is divided by 2?
1
Suppose 2*c + 78 = -5*b - 44, -3*c = 4*b + 99. Calculate the remainder when 129 is divided by (1 - 0) + (-3 - -4 - b).
25
Let z(x) = 37*x - 34*x - 32*x + 22 - 81*x. Let m be z(-2). Suppose -n = -12*n + m. What is the remainder when n is divided by 8?
6
Let v(s) = -7*s + 475. What is the remainder when v(-29) is divided by 290?
98
Let s be (-18)/225 - 10/(-125) - 47. Let h(k) = 18*k - 4. Let r be h(-3). Let o = s - r. What is the remainder when o is divided by 3?
2
Let v = 47 + 52. Let w be 6/21 + v/21. Suppose w*n = -3*b + 6*b - 140, -3*b + 134 = n. Calculate the remainder when 222 is divided by b.
42
Suppose 120 = 4*b - 52. Suppose 0 = 14*u + 17 - 59. Suppose 2*d - 6*c = -c + 66, -d + u*c = -35. Calculate the remainder when b is divided by d.
20
Suppose 57*k - 51*k + 372 = 0. Let o = -20 - k. Calculate the remainder when 204 is divided by o.
36
What is the remainder when 18992/20 + 12/30 is divided by 87?
80
Suppose 2*f + 781 - 793 = 5*z, -4*z + 64 = 3*f. Let i(s) = -s**2 + s + 33*s**3 + 1 + 8*s**3 - s. Calculate the remainder when i(1) is divided by f.
9
Suppose -8 - 64 = -3*y. Let q(x) = -20*x + 61*x**2 + 1 + 33*x - 7*x. Calculate the remainder when q(1) is divided by y.
20
Suppose 1163*d - 12765 = 1140*d. What is the remainder when d is divided by 184?
3
Let v = 5474 + -5462. Calculate the remainder when -1 + -2 - 20/(-1) is divided by v.
5
Let b(o) = 5*o**2 - 49*o - 369. Let r(g) = -g**3 - 6*g**2 - 2*g - 7. What is the remainder when b(-6) is divided by r(-7)?
49
Let y(a) = -a**2 + 12*a + 39. Let u = 103 - 92. Suppose -c - 5 = 0, 0*v = 3*v - 4*c - 101. Calculate the remainder when y(u) is divided by v.
23
Suppose -2 + 31 = 2*s - 3*l, -l = -4*s + 43. Calculate the remainder when (24/20*5 + (-638)/44)/(1/(-22)) is divided by s.
7
Suppose 0 = 6*n - 9*n - l + 37, -2*n = 3*l - 13. Suppose 0 = v + 2*v + 585. Calculate the remainder when n is divided by (-2)/7 - v/21.
5
Let c = 32 - 40. Let q be -1*47 + -6 + (-3 - c). Let t = q + 57. Calculate the remainder when t is divided by 7.
2
Let c = -3077 - -3469. What is the remainder when c is divided by 18?
14
Let s = -352 - -363. What is the remainder when 59 is divided by s?
4
Let m(z) = 221*z + 6653. What is the remainder when 1179 is divided by m(-30)?
6
Let c(r) = -2*r**3 + 7*r**2 + 14*r + 14. Calculate the remainder when (-356)/(-24) - (-3 + 51/18) is divided by c(5).
6
Suppose -794 = -6*y + 3*y - 4*g, 290 = y - 5*g. Calculate the remainder when y is divided by 96.
78
Suppose 595*h - 591*h - 20 = 0. What is the remainder when 645/h - (-12)/(-2) is divided by 14?
11
Suppose 4*j + 64 = 8*w, -2*j = 3*j - 10. Calculate the remainder when 402 is divided by w.
6
Let y = -513 - -522. Suppose -30*s + y + 1221 = 0. Calculate the remainder when s is divided by 24.
17
Suppose 2*m + o - 89 = 0, -43*o - 12 = -47*o. Suppose -2*h + 5*v + 40 + 67 = 0, 257 = 5*h - 2*v. Let k = h - 35. What is the remainder when m is divided by k?
11
Suppose 28*p - 25*p = 288. Suppose -4*y + 6*y = 5*v + 20, -p = -5*y + v. Suppose 17 = 4*s - 27. Calculate the remainder when y is divided by s.
9
Suppose 3*o - 3*c - 6 = 0, -16 = -o - o - 2*c. Suppose p - 14 = -f + o, 59 = 5*f - 4*p. What is the remainder when 69 is divided by f?
9
Let o be (-2901)/(-51) + 14/119. Let l = -3 + o. Suppose 0 = -21*k + 18*k + l. Calculate the remainder when 68 is divided by k.
14
Suppose -188908 = -96*y - 2572. What is the remainder when y is divided by 24?
21
Suppose 0 = -2*b + 10*b - 3224. Let i = 548 - b. What is the remainder when i is divided by 17?
9
Let v = 598 + -593. Let y = -12 + 21. Suppose -y = -r + v. Calculate the remainder when r is divided by 4.
2
Suppose 3197*d - 3202*d = -140. Let o = 106 + -74. Calculate the remainder when o is divided by d.
4
Suppose 6638*n + 20714 + 13848 = 6649*n. What is the remainder when n is divided by 17?
14
Let l(n) = -2*n - 6. Let o be l(22). Suppose 179 = -5*m - 4*p, 3*m + 2*p = p - 113. Let h = m - o. What is the remainder when 32 is divided by h?
10
Suppose -35 = -5*j, -j - 302 + 57 = -4*o. Calculate the remainder when 224 is divided by o.
35
Suppose 1608 = -311*g + 314*g. What is the remainder when g is divided by 1 + 4 + -3 + 5?
4
Let y(b) be the second derivative of b**4/12 - 31*b**3/6 + 185*b**2/2 + 4*b - 7. What is the remainder when 27 is divided by y(23)?
0
Suppose 4*b - 815*i = -817*i + 1416, 363 = b + 5*i. What is the remainder when b is divided by 184?
169
Suppose 4*z - 201 = i, 5*z + 0*i + 2*i = 235. Let o be (-4)/(-6 - -4) - z. Let x = 59 + o. Calculate the remainder when 23 is divided by x.
11
Let d = -12 + -82. Let w = d + 102. Suppose -19 - w = -3*p. What is the remainder when 13 is divided by p?
4
Suppose -56 = -15*x + 7*x. What is the remainder when 2 + (-9612)/(-42) - (-1)/x is divided by 47?
43
Calculate the remainder when 87/377 + (-99480)/(-39) + 12/(-2) is divided by 111.
103
Suppose z - 73*j - 94 = -77*j, 3*z = 5*j + 231. Calculate the remainder when 1473 is divided by z.
79
Let a(i) = 13*i**2 - 4*i**2 + 20*i**2 - i**2. Suppose 2*q + 128 = t + 137, -27 = -5*q + t. What is the remainder when a(1) is divided by q?
4
Let s(m) = 6*m + 13. Let c be s(-4). Let a be 4*2 - (-10 - c). Suppose b + a = 14. Calculate the remainder when 34 is divided by b.
6
What is the remainder when (-4 - -23 - (-28)/42)/((-1)/(-3)) is divided by (8/10)/(3/45)?
11
What is the remainder when (-5958)/1655*(0 + 5) + 101 is divided by (13