11 + 9)*(-16)/2. Suppose -k = -5*h + r. What is the remainder when h is divided by 11?
8
Let z(d) = -d**2 + 39*d + 11. What is the remainder when z(30) is divided by 18?
11
Let f be 112/10 - (-6)/(-30). Suppose -c - f = -127. Suppose -c = -3*h - h. Calculate the remainder when h is divided by 8.
5
Let f(p) = -p**3 - 18*p**2 - 20*p + 17. Let m be f(-17). Suppose -2*k - 2*k = -24. Calculate the remainder when m/(k/((-15)/(-5))) is divided by 20.
14
Let s be ((276/9)/(-1))/(4/(-6)). Let d = 225 - s. Calculate the remainder when d is divided by 26.
23
Let f be (-740)/(-90) - 4/18. Suppose 2*v + 72 = f*v. What is the remainder when 41 is divided by v?
5
Suppose -r - 238 = -5*f, 0 = f - 0*f + 2*r - 41. Let o = -17 + f. Calculate the remainder when 89 is divided by o.
29
Let z be (1 - (-3 + 1))/1. Suppose z*w - 19 = -0*w - 4*c, -2*w + 5*c + 28 = 0. Calculate the remainder when 15 is divided by w.
6
Let w be 2 + 86 - (-6)/(-3). Let a = -71 + w. Calculate the remainder when a is divided by 8.
7
Suppose 322 = 4*t - 2*y + y, 4*y = -5*t + 413. What is the remainder when 238 is divided by t?
76
Suppose 0 = 2*l - l - 5. Suppose -v - 24 = -l*v. What is the remainder when 34 is divided by ((-12)/8)/((-1)/v)?
7
Let v be (4/6)/((-4)/(-30)). Suppose -5*y + 5*a + 85 = -60, -v*y + 160 = -2*a. Calculate the remainder when y is divided by 12.
10
Suppose 48 = 9*n - 105. What is the remainder when 186 is divided by n?
16
Let i(p) = p**3 + 14*p**2 - 6*p + 144. Calculate the remainder when 110/8 + 1/4 is divided by i(-15).
5
What is the remainder when 74 is divided by 7608/264 + 1/(22/4)?
16
Let n = 883 - 529. Suppose 0 = -2*w + 4*p + 256, 0*w = -3*w - 4*p + n. Suppose -m - 15 = -w. What is the remainder when m is divided by 22?
19
Suppose -4*z + 7 = -85. Let l be 170/7 - 2/7. Calculate the remainder when 15*(l*1)/4 is divided by z.
21
Let s(x) = 14*x + 6. Calculate the remainder when s(6) is divided by 252/(1 + 8) - 3/(-1).
28
Let a = 51 + 379. What is the remainder when a is divided by 73?
65
Let x be (2 - 3/2)*4. Let d(i) = 39*i**x + 19*i**2 - 12*i**2 - 1. Calculate the remainder when d(1) is divided by 12.
9
Suppose 10*f - 36 = -4*g + 6*f, 0 = 3*g + 5*f - 23. What is the remainder when 21 is divided by g?
10
Let a = 51 - 19. Suppose -a = -5*c + 78. Let s(q) = q. Calculate the remainder when c is divided by s(8).
6
Suppose j - 4*a - 41 = -6, -3*a - 78 = -3*j. Calculate the remainder when j is divided by 114/(-342) + 16/3.
3
Suppose 3*c + 7 = 3*a - 2, -3*c = 2*a - 11. Calculate the remainder when 25/a*(1 + 3) is divided by ((-18)/(-36))/((-1)/(-26)).
12
Let k(o) = 37*o**2 + 1. Let a(d) = -83*d + 6993. Calculate the remainder when k(1) is divided by a(84).
17
Suppose -1 = -5*h + 9. Suppose -4*w = 4*p, -h*p - 4 = 2*p. What is the remainder when 13 is divided by w?
0
Let k be 2/4 - 623/(-14). Suppose 4*c + o - k = 0, -5*c + 3 + 51 = 2*o. Let y(m) = -m**2 + 13*m - 1. What is the remainder when 19 is divided by y(c)?
8
Let a(d) be the second derivative of d**4/12 - 7*d**2/2 - 2*d. Suppose -12*l = -l - 759. Calculate the remainder when l is divided by a(-5).
15
Let m(v) = 6*v - 1. Suppose -4*y + 15 + 0 = -u, 35 = 3*u + 4*y. What is the remainder when m(u) is divided by 4/((-39)/(-26) + -1)?
5
Let c(a) = -a + 5. What is the remainder when c(-24) is divided by 8?
5
Suppose 4*u + m - 306 = 0, -10 = -5*m - 0. Calculate the remainder when u is divided by 13.
11
What is the remainder when 12 + -6 + 359 - 10 is divided by 117?
4
Suppose 0 = -g - 1 + 6. Suppose g*l = 6 + 89. Let o = l + -13. What is the remainder when 28 is divided by o?
4
Let l = 121 - 62. Let s(c) = -2*c - 1. Let g(u) = 6*u + 17. Let v(n) = -2*g(n) - 4*s(n). Calculate the remainder when l is divided by v(-15).
29
Suppose -10 + 0 = -2*a. Calculate the remainder when 5/(45/159) + 3/9 is divided by a.
3
Suppose 4*w - 15 = -w. Suppose 3*f + 2*a = 1 + 1, 8 = -w*f - 4*a. Let x(b) = -b**3 + 5*b**2 - b - 3. Calculate the remainder when x(f) is divided by 4.
1
Let g be (12/15)/((-5)/25). Let w(y) = y**2 + y - 5. Let z be w(g). Suppose -z*u = -3*u - 20. What is the remainder when 7 is divided by u?
2
Let w(y) = -29*y**3 + y**2 + 6*y + 5. What is the remainder when w(-2) is divided by 43?
14
Let p = 93 - 209. Let s = p - -214. Suppose -d = -s + 28. What is the remainder when d is divided by 18?
16
Calculate the remainder when 179 is divided by (-170)/(-34) + 1*42.
38
Let m(c) = -c**2 - 9*c - 1. Let x(k) = k**2 + 14*k + 2. Let q(h) = -8*m(h) - 5*x(h). Suppose 5*s - 15 = -0*s. What is the remainder when q(s) is divided by 11?
9
Let n = 4 + -2. Suppose -n*y + 11 = 5*l, -3*y + 5*l + 4 + 0 = 0. Suppose -y*m + 5 = -1. What is the remainder when 4 is divided by m?
0
Let b = -997 + 1096. Calculate the remainder when 294 is divided by b.
96
Let z(d) = d**2 + 17. Calculate the remainder when z(-7) is divided by 26.
14
Suppose 38*i = -6*i + 39776. What is the remainder when i is divided by 6?
4
Let f(c) = 23*c**2 - 10*c - 134. What is the remainder when f(8) is divided by 16?
10
Let a = 1394 + -1030. Calculate the remainder when a is divided by 20.
4
Let z = 120 - 76. Suppose -257 = -6*i + 211. What is the remainder when i is divided by z?
34
Let k be (-21)/2*24/(-14). Let s = k - 5. Suppose 3*i + 0*i - 201 = -4*n, -2*n + 102 = 2*i. What is the remainder when n is divided by s?
9
What is the remainder when -3 + 31/11 - (-475)/11 is divided by 11?
10
Suppose o + 47 = -s, 3*s + 145 = -0*o - o. Calculate the remainder when 62 is divided by 8/14 + (-609)/s.
10
Let n be (-1)/2*0/(-6). Suppose 50 = 2*j - n*j. What is the remainder when j is divided by 15?
10
Suppose -2*f - 1 = -3. Let n(a) = a + 20. Let o be n(-20). Suppose o = x - 0 - 5. Calculate the remainder when x is divided by f.
0
Let v(c) = c**3 - 8*c**2 + 11*c + 4. Let u be v(6). What is the remainder when 133 is divided by (-55)/u + (2 - (-35)/(-14))?
25
Let u be (-2*2)/(8/(-4)). Let c be 654/42 + 4/(-7). Calculate the remainder when 59 is divided by (c/(-6))/(u/(-12)).
14
Suppose -4*m - 15 = -5*m. Let z = -8 + m. What is the remainder when (z/3)/((-2)/(-36)) is divided by 15?
12
Let w = -126 + 216. Calculate the remainder when w/4 - ((-21)/6 - -4) is divided by 13.
9
Suppose -5*i + 54 = -11. Suppose -5*y + 10 = 5*m - 15, y - 5*m + i = 0. Suppose 0 = 8*h - y*h - 180. What is the remainder when h is divided by 16?
14
Suppose 0 = -5*j + 7*j - 60. Suppose 5*n = 3*i + 133, n - 4*i - j = -0*n. What is the remainder when n is divided by 17?
9
Suppose -76*r = -75*r - 3*g - 60, 0 = 2*r + 4*g - 110. What is the remainder when 626 is divided by r?
56
Let b = 286 + -250. Calculate the remainder when b is divided by 14.
8
Suppose 399 = 23*y - 16*y. Suppose y*i = 59*i - 36. What is the remainder when 159 is divided by i?
15
Suppose 0 = 3*i + i + 20, 0 = 3*b - 4*i + 7432. Calculate the remainder when (-2)/(-13) + b/(-78) is divided by 7.
4
Let g = -184 - -214. Calculate the remainder when g is divided by 5.
0
Suppose -4 = p - 19. Suppose -132 = p*a - 19*a. Calculate the remainder when ((-20)/(-30))/(4/390) is divided by a.
32
Suppose 34*p - 247 = 15*p. Calculate the remainder when (144/(-30))/(6/(-20)) is divided by p.
3
Suppose 3*l - 28 = 5*l. Let x be (l*1/2)/1. Let i(s) = s**3 + 7*s**2 - 5*s - 6. Calculate the remainder when i(x) is divided by 10.
9
Suppose 24*u - 3132 = -84*u. Calculate the remainder when u is divided by 4.
1
Let d = 226 - 187. Suppose 36 = 7*y - 9*y. Let u = -8 - y. Calculate the remainder when d is divided by u.
9
Let a(l) = 812 - 823 - 3*l + l**2 + 4*l**2. Let t(s) = s - 1. Let b be t(6). What is the remainder when a(b) is divided by 34?
31
Let o(g) = g**3 + 15*g**2 - 21*g - 20. Calculate the remainder when 476 is divided by o(-16).
56
Suppose -s = 4*i - 6*s - 7, 0 = 2*i - s + 1. What is the remainder when 4/i - (0 - 31) is divided by 5?
4
Suppose -6*i = -4*i + 70. Let o = i + 47. Suppose k = 5 + o. Calculate the remainder when 46 is divided by k.
12
Suppose -4*d + 38 = j, 27*j - 23*j - 101 = d. What is the remainder when 84 is divided by j?
6
Let m(k) = k**2 - 35*k - 490. Calculate the remainder when 144 is divided by m(46).
0
Let o(v) be the second derivative of -v**4/12 - 4*v**3/3 + 19*v**2/2 - 5*v. Calculate the remainder when 54 is divided by o(-8).
16
Suppose 