ivided by (-8)/(-84)*-15*(-5 - 2)?
7
Let b(a) = -a**2 + 15*a - 44. What is the remainder when 25 is divided by b(7)?
1
Suppose -15*c - 90 = -10*c. What is the remainder when 20 is divided by (-220)/(-18) - (-4)/c?
8
Let i(o) = o**2 - o + 18. Let r = 166 - 155. What is the remainder when i(0) is divided by r?
7
Let n(v) = v**2 + 2*v - 172. Let z be n(0). Let o = -120 - z. Suppose -8 = -2*j + o. What is the remainder when j is divided by 16?
14
Suppose f + 2 = 4. What is the remainder when -22*(3 - 7/f) is divided by 3/(-1 + (-49)/(-28))?
3
Suppose 0 = r + 5*h - 37 - 11, 0 = r + 4*h - 44. Calculate the remainder when 39 is divided by r.
11
Let n = -57 + 68. Suppose 0*k - 4*k = -48. Let m = n + k. Calculate the remainder when 67 is divided by m.
21
Let v = -214 + 278. Calculate the remainder when 127 is divided by v.
63
Let q(t) = t**2 + t + 8. Let y be q(0). Suppose 2*a - y - 20 = 0. Suppose -4*x = -6 - a. Calculate the remainder when 16 is divided by x.
1
Let p(o) = 15*o + 6. Let n be p(18). Suppose -2*d - n = -8*d. What is the remainder when 89 is divided by d?
43
Let q(d) = -2*d**3 + d**2 - 4. What is the remainder when 190*1 - (-28 + 28) is divided by q(-2)?
14
Suppose w + 9*w = 440. What is the remainder when 119 is divided by w?
31
Let p(l) = l**3 - l**2 - 6*l + 7. What is the remainder when 61 is divided by p(4)?
30
Suppose 126 = 3*f + 27*l - 26*l, 2*f - 3*l = 73. Calculate the remainder when 163 is divided by f.
40
Suppose 5*x = -25, -3*v - x + 222 + 406 = 0. What is the remainder when v is divided by 9?
4
Suppose 0 = -6*a + 3*a + 4*w + 56, 3*a - 16 = -4*w. Suppose 2*x + b - 115 = 0, -3*x - 17*b + 180 = -18*b. Calculate the remainder when x is divided by a.
11
Suppose 5*p + 4 = 3*p. What is the remainder when p - (3*-9 + 0) is divided by 4/2 + 8 + 3?
12
Suppose -8*b - 1 = -161. Calculate the remainder when 718 is divided by b.
18
Suppose -m = -4*d - 18, -3*m + 3*d - 10 = 7*d. Suppose -3*a = m*y - 21, -2*a + 14 = -2*y + 4*y. What is the remainder when 62 is divided by a?
6
What is the remainder when 4/(-30) + (-470)/(-150) is divided by 1?
0
Suppose 0 = 6*m - 418 - 668. What is the remainder when m is divided by 17?
11
Let w = 6 - 4. Suppose v + 3 + 357 = -4*q, 4*q - 1752 = 5*v. Calculate the remainder when w is divided by v/(-165) - 4/30.
0
Suppose 0 = 5*v - 76 - 24. Suppose -3*r + s + 404 = 139, 0 = 4*r - s - 353. Let m = r + -11. Calculate the remainder when m is divided by v.
17
Let b(c) = -4*c**2 - 30*c - 36. What is the remainder when 77 is divided by b(-4)?
17
Let x(a) = a**3 + 6*a**2 + 2*a + 11. Let n be x(-6). Let c(j) = j**2 - 2*j - 1. What is the remainder when 8 is divided by c(n)?
0
Let f = 9 + 0. Let y be (-39)/351 - (-37)/9. Suppose -f = -5*j - y. What is the remainder when 1 is divided by j?
0
Suppose 0 = -5*p + d + 38 + 57, 5 = -p + 5*d. Calculate the remainder when 778 is divided by p.
18
Let j(g) = 6*g - 13. Suppose -3*u + 0 - 6 = 4*m, -5*u - 10 = -m. Suppose -c + 9 = -m. Calculate the remainder when j(c) is divided by 14.
13
Let h(x) = 529*x - 3. What is the remainder when h(1) is divided by 33?
31
Suppose -63 = 2*d - 171. Suppose 2*s - d = -r, -4*s - 3*r = -9*s + 113. Let z(c) = -48*c**3 - c - 1. Calculate the remainder when z(-1) is divided by s.
23
Let b = 48 + -30. Suppose 21*g - b*g - 699 = 0. Calculate the remainder when g is divided by 26.
25
Let x be (-3)/6 + (3582/4)/9. Suppose x = f + 8*f. What is the remainder when f is divided by 5?
1
Suppose 22 = 4*q + n + 4*n, 4*q - 14 = -n. Let b(c) be the second derivative of -c**3/2 - 6*c**2 + 15*c. Calculate the remainder when b(-5) is divided by q.
0
Suppose 0 = 8*a - 3*a - 55. Suppose 825 - 1873 - 872 = -30*k. Calculate the remainder when k is divided by a.
9
Suppose j = 4*j + 27. Let a = j + 12. Suppose -k + 4*n + 16 = -3, 28 = 2*k - a*n. Calculate the remainder when 19 is divided by k.
8
Let p = -220 + 265. What is the remainder when p is divided by 28?
17
Suppose 36 = 2*o + 3*i - 0*i, -73 = -3*o + 5*i. What is the remainder when 60 is divided by o?
18
Suppose 8 = -3*k + 26. Suppose 22 = 6*q - 8. Suppose -34 = -4*l + 3*r - r, -q*r = 5*l - 65. Calculate the remainder when l is divided by k.
4
Let r = -280 - -364. What is the remainder when r is divided by 29?
26
Let b(r) = -4*r**2 + 24*r + 5. Let v be b(6). Suppose v*p + 2*k = 160, 115 = 3*p + p - k. Calculate the remainder when 208 is divided by p.
28
Suppose 0 = 5*m - 4*m - 2*y - 79, m + 3*y = 89. What is the remainder when m is divided by 75?
8
Let p(h) = 7*h - 2. Let z(d) = d. Let w(t) = -p(t) + 6*z(t). Suppose 4*o = -5*m + 8*o + 8, -5*o + 3 = -3*m. What is the remainder when w(-5) is divided by m?
3
What is the remainder when ((-111628)/28)/(-11) - (-4)/7 is divided by 52?
51
Let g = -869 - -1069. What is the remainder when g is divided by 54?
38
Let v(i) = -4*i - 4. Let y be v(-2). Suppose y*s + 3*b = 40, -3*b = -s + 2*b - 13. Calculate the remainder when s is divided by 1.
0
Suppose -3*r = -42 - 84. Calculate the remainder when r is divided by 12.
6
Suppose -68 = -11*a + 9*a. Let d = a + -8. What is the remainder when 74 is divided by d?
22
Let v be (-6)/10 + (-231)/15. Let b = 36 + v. Calculate the remainder when 99 is divided by b.
19
Suppose -11*c - 936 = -4*o - 7*c, -o + 228 = 2*c. Calculate the remainder when o is divided by 39.
37
Let r be ((-4)/6)/(8/(-72)). What is the remainder when 94/r + 4/(-6) is divided by 5?
0
Let t(w) = -4*w**2 + 20*w + 8. What is the remainder when 316 is divided by t(5)?
4
What is the remainder when 89 is divided by 22/2 + (-2)/5*5?
8
Suppose 0 = 2*w + w + 5*y - 112, -10 = -2*y. Suppose 40*k - 32 = 36*k. What is the remainder when -2*1 + 3 + w is divided by k?
6
Let j = -195 - -229. What is the remainder when j is divided by 12?
10
Suppose z - 57 = -0*z. Suppose 0 = -5*j + 3*d - 279, -3*j + 2*d - z = 110. Let m = 82 + j. What is the remainder when m is divided by 9?
7
Let l(o) = -o**2 + 8*o + 18. Let y be l(7). Suppose -j - 88 = -4*u, -u + 0*j + y = -j. Calculate the remainder when u is divided by 7.
0
Let f(y) = y**3 - 8*y**2 + y + 9. Let d = -22 - -25. Suppose 4*b = g - 0*b - 8, d*g - 24 = 4*b. What is the remainder when f(g) is divided by 6?
5
Suppose 6*o - 5*o = 3*b + 18, 0 = o + 4*b - 46. What is the remainder when 60 is divided by o?
0
Let w(y) = 51*y**2 - y. Calculate the remainder when 91 is divided by w(1).
41
Let x be 7/(42/18)*128/(-6). Let t = x + 160. Suppose 0 = 4*k + 49 - 181. Calculate the remainder when t is divided by k.
30
Suppose -5*n = 5*y + 25, 3*y = n + 2 - 9. Calculate the remainder when 92/(-6)*(n - 1) is divided by (-4)/6*-19 + (16 - 1200/72).
10
Let g be 19 + -1 + 3 + (1 - 4). Suppose 17*d + 16 = g*d. Calculate the remainder when 29 is divided by d.
13
Let l(v) = 103*v - 9. Let w(y) = -y**3 + 20*y**2 + y + 2. What is the remainder when l(2) is divided by w(20)?
21
Suppose -g = -3*g - 5*b - 219, 5*b + 117 = -g. Let j be (4/3)/(4/g). Let a = j - -109. What is the remainder when a is divided by 26?
23
Let q(m) = 3*m**2 - 14*m + 5. Let f be q(7). Suppose -4*i + 206 = 2*z, z - f = -i - 0*i. What is the remainder when 96 is divided by i?
47
What is the remainder when 17986/18 + (-25)/(1800/16) is divided by 17?
13
Let v(y) = -3*y**3 + 2*y**2 + 3. Suppose 102*h = 42*h + 827 + 433. What is the remainder when v(-3) is divided by h?
18
What is the remainder when (146/5 - 2)*(-185)/(-74) is divided by 19?
11
Suppose -l + 0 = -7. Let x = -3 + l. What is the remainder when -3 + (-8)/x*-27 is divided by 26?
25
Suppose -7*y + 38 = 3*n - 2*y, 4*n + 2*y - 60 = 0. Suppose -n*i + 1487 = 335. What is the remainder when i is divided by 38?
34
Suppose 5 = 3*b - 7. Suppose -3*p + 5*v + 125 = 0, -b*v - 230 = -7*p + 2*p. Let c(w) = 2*w**2 - 57*w - 348. What is the remainder when p is divided by c(34)?
24
Suppose -5*f - 4 = 1. Let x(t) = 50*t - 1. Let g(h) = -149*h + 3. Let d(r) = 6*g(r) + 17*x(r). What is the remainder when d(f) is divided by 24?
21
Let m(x) = x**2 - x. Let v(g) = -7*g - 3. Let z be v(-5). Let b = -35 + z. Calculate the remainder when m(b) is divided by 8.
4
Let h be -5*(5 + 55/(-25)). What is the remainder when 34 is divided by (2 - (h - 2))*14/28?
7
Let y(m) = -m**3 + 10*m**2 - 14*m + 54. What is the remainder when 47 is divided by y(9)?
2
Let k be 