6
Let g be (213/9)/(3/(-9)). Let q = 115 + g. What is the remainder when 84 is divided by q?
40
Let z = -1012 + 1477. Calculate the remainder when z is divided by 36.
33
Suppose -20 = -3*b + 5*z, 2*b + 4*z - 1 - 5 = 0. Suppose b*j - 68 = -5*t + 127, 0 = 4*t - 20. Calculate the remainder when j is divided by 9.
7
Let o(a) = a - 4. Let d be o(4). Let y(r) = -r**2 + 5*r - 4. Let g be y(4). Suppose f + d*f - 14 = g. What is the remainder when 25 is divided by f?
11
Suppose 5*k - 23 = -t - t, 2*k + 4*t = 22. Suppose k*h = 166 + 35. Calculate the remainder when h is divided by 39.
28
Suppose 2*n - 9 = -3*a + 7*n, 12 = 4*a - 5*n. Suppose 4*w - 5 - a = 0. What is the remainder when 7 is divided by w?
1
Let y be (-2)/(-9)*19 - (-6)/(-27). Calculate the remainder when (124/(-16))/(y/(-48)) is divided by 16.
13
Let j(s) = -6*s - 10 + s**2 - 4*s + 0*s. Let q be j(8). Let b = -11 - q. Calculate the remainder when 44 is divided by b.
14
Let n = 17 + 64. Calculate the remainder when n is divided by 23.
12
Let i = 1485 + -1425. Calculate the remainder when 161 is divided by i.
41
Let x(f) = 2*f + 4. Calculate the remainder when 12/4 + (2 - -52) is divided by x(1).
3
Let w = -24 - -35. Suppose 168 = -4*t + 244. What is the remainder when t is divided by w?
8
Let d(i) = -i**2 - 22*i + 10. Let f be d(-22). Suppose -f*b + 7*b + 27 = 0. Calculate the remainder when 105 is divided by b.
6
Let g(o) = -o**2 - 12*o - 7. Let u be g(-11). Let y = u + -2. Suppose -16 = -y*t - 6. What is the remainder when 7 is divided by t?
2
Suppose -615 = 6*a - 1851. What is the remainder when a is divided by 8?
6
Let h(i) = i - 11. Let l be h(15). Suppose -4*k = -8*k + 3*m + 101, 0 = -5*k + l*m + 127. What is the remainder when k is divided by 9?
5
Let r = -678 + 695. What is the remainder when 1034 is divided by r?
14
Let j be -4 - (4/(-4) - 3). Let r = 6 + j. What is the remainder when r is divided by 2?
0
Suppose 0 = 4*j - 2*u - 84 + 12, -74 = -4*j + u. What is the remainder when 187 is divided by j?
16
Suppose 48*p - 47*p - 9 = 0. Let w = 82 + -49. Calculate the remainder when w is divided by p.
6
Suppose 5*g - 10 = 0, -2*g = 5*o + 2*g - 183. Suppose 3*i - x = 7*i - 41, 0 = -4*i - 5*x + 13. What is the remainder when o is divided by i?
11
Suppose 6*o - 96 = 2*o. Let r(w) = -w**2 - 9*w - 17. Let i be r(-5). Suppose i*q + 1 = 40. Calculate the remainder when o is divided by q.
11
Suppose 0*r - r = -131. Let n = -640 - -684. What is the remainder when r is divided by n?
43
Let z(g) = g**3 - 6*g**2 - 12*g + 15. Let x = 11 + -3. What is the remainder when 233 is divided by z(x)?
45
Let l = 58 - 11. Let q(j) = -20*j + 7. Let o be q(-6). What is the remainder when l is divided by 14/(-35) + o/5?
22
Let o = 233 + -193. Calculate the remainder when o is divided by 21.
19
Suppose -5*x = -20, -3*x = -k + 2*x + 354. What is the remainder when k is divided by 47?
45
Suppose -20*x + 517 = -183. What is the remainder when 235 is divided by x?
25
Let s(v) = 2*v**2 - 4*v + 38. Let i be s(11). Suppose -32 = 4*t - i. What is the remainder when t is divided by 9?
6
Suppose b - 305 = 4*n, -2*n - 360 = 3*n + 3*b. Let x be 15/n - (-32)/10. What is the remainder when 9 is divided by 3 + (x - 3) + 0?
0
Suppose 28 = -12*x + 148. Calculate the remainder when 66 is divided by x.
6
Let r(k) = 3*k + 6. Calculate the remainder when 45 is divided by r(6).
21
Suppose -x + 4*x + 21 = 2*a, -92 = -4*a - 4*x. Let r = 40 - a. Calculate the remainder when 63 is divided by r.
19
Let z = -403 + 411. What is the remainder when z is divided by 5?
3
Calculate the remainder when (0 - 2)/((-8)/(-26388)*-9) is divided by 41.
36
Let k(d) = d**3 + 8*d**2 + 6. Suppose -2*j = -3*j - 8. Calculate the remainder when 34 is divided by k(j).
4
Let k be (-12)/16 + 55/4. Suppose -4*w - 4*s = 16, -s = -0*w + 4*w + k. Calculate the remainder when ((-106)/(-10))/(w/(-15)) is divided by 11.
9
Suppose 2*w + 4*f - 66 - 68 = 0, 0 = 2*f - 4. Suppose 96 = 3*z - w. Calculate the remainder when z is divided by 14.
11
Let m(s) = 12*s**2 - 17*s + 29. Calculate the remainder when 158 is divided by m(2).
29
Let f(k) = -4*k**3 + 4*k**2 + 2*k - 2. Let m = -16 - -31. Calculate the remainder when f(-2) is divided by m.
12
Calculate the remainder when (-2 + 3)*-5 + 892/2 is divided by 30.
21
Let n(m) be the second derivative of m**3/3 - 3*m**2/2 - 19*m. What is the remainder when 12 is divided by n(5)?
5
Suppose -t - 61 - 42 = 0. Let p = -78 - t. Let g = -13 - -27. Calculate the remainder when p is divided by g.
11
Let v be 212/8 - (-2)/4. Let l = v + -20. Calculate the remainder when 12 is divided by l.
5
Let v(y) = -10*y**3 - 2*y**2 + 2. Let p be (-5)/(-2) + -3 - 2/4. What is the remainder when 25 is divided by v(p)?
5
Suppose 6*t - 1823 - 1045 = 0. Calculate the remainder when t is divided by 60.
58
Suppose -9 = 2*j + 7. Let l = -3 - j. Calculate the remainder when 8 is divided by l.
3
What is the remainder when 433 is divided by (-9)/3 + (-27 - -35)?
3
Let n = 627 - 618. Suppose 2*k = 5*k - 210. What is the remainder when k is divided by n?
7
Suppose -2*j + 4 = -46. Let v = j - 19. What is the remainder when v is divided by 4?
2
Let v(y) = y**3 - 10*y**2 + 3*y - 27. Let u be v(10). Suppose -j + 101 = d + u*d, -20 = -4*j. What is the remainder when 68 is divided by d?
20
Let n = -45 - -60. Suppose 8*m + 49 = n*m. Calculate the remainder when 16 is divided by m.
2
What is the remainder when 42 is divided by 9*3 + (-10)/5 - -3?
14
Let n(a) = 2*a + 2. Let o = -76 - -79. Calculate the remainder when n(2) is divided by o.
0
Let p = 47 + -38. Suppose 3*b + 25 = 4*x, 5*x + 3*b = 2*b + 36. Suppose o - 3*c = 21, 2*c + 53 = 2*o + x*c. What is the remainder when o is divided by p?
6
Suppose 0 = -z + 88 - 73. Suppose 2*b = 35 - z. Calculate the remainder when 37 is divided by b.
7
Suppose -46 = 4*v - 274. Suppose 4*n + 3*l - v = 15, 54 = 2*n - 3*l. Calculate the remainder when 82 is divided by n.
19
Suppose 318*l = 324*l - 114. Calculate the remainder when 282 is divided by l.
16
Suppose -5*g = 2*q - 46, q - 3*q + 36 = 4*g. Suppose -784 = 2*d - g*d. What is the remainder when d is divided by 33?
32
Suppose 0 = 3*n - 3*a + 7*a - 11, 3*a = -5*n. What is the remainder when 29 is divided by (-1)/(n/9 - (-26)/96)?
13
Let f = -49 - -119. What is the remainder when f is divided by 19?
13
Suppose 5*n - 4*d - 253 = 0, 2*n + 8*d = 5*d + 92. What is the remainder when n is divided by 14?
7
Let n = -27 - -110. Suppose -b = 4*i - 22, 66 = 3*b - 6*i + 2*i. What is the remainder when n is divided by b?
17
Suppose -5*m = -2*s - 14 - 8, 2*m + 3*s = 24. What is the remainder when 9 is divided by m?
3
Let w(d) = -33*d + 42. What is the remainder when 418 is divided by w(0)?
40
Suppose 14 = -3*t + 6*m - m, -2*m + 10 = t. Let q be -5*(t - (7 + -4)). Suppose 0 = -q*h + 22 + 53. Calculate the remainder when 59 is divided by h.
14
Let j(x) = -65*x**2 - 2*x + 2. Let y be j(1). Let g = y - -92. Calculate the remainder when g is divided by 7.
6
Let m = -152 + 194. Calculate the remainder when m is divided by 11.
9
Suppose -8*t = -52*t + 352. What is the remainder when 37 is divided by t?
5
Let n(b) = 3*b - 5. Let j = -26 - -29. Let w be n(j). What is the remainder when 49 is divided by 3/(-12) + 101/w?
24
Suppose 0 = 2*w + 3*c - 31, 5*w - 88 - 42 = 3*c. Calculate the remainder when 78 is divided by w.
9
Suppose -z + 2*a + 21 = 4*a, 4*z + a - 63 = 0. Suppose -8*m + z = -7*m. Calculate the remainder when 102 is divided by m.
12
Let t(o) = -o**2 - 9*o + 1. Let y be t(-9). What is the remainder when 48 is divided by (10 - 9) + y + 12?
6
Let a(s) = 2*s + 25. Let o be a(-12). What is the remainder when o/((-4)/6)*-22 is divided by 2 + -2 - 1*-12?
9
Let s(k) = 2*k**2 - 24*k + 20. Let i be s(16). Suppose -11*l + 39 + i = 0. Calculate the remainder when 82 is divided by l.
14
Let v = 391 - 348. What is the remainder when v is divided by 22?
21
Let p = 804 + -794. Let c(s) = 5*s - 8. Suppose -5*m + 45 = -0*m. Calculate the remainder when c(m) is divided by p.
7
Let w(j) = 2 + 544*j - 542*j + 0 - 1. Let t(m) = 2*m**2 + 2*m - 3. Let b be t(-3). Calculate the remainder when w(b) is divided by 5.
4
Let j(m) = m**2 - 3*m + 5. Calculate the remainder when 5 is divided by j(2).
2
Let u(j) = -j**3 + 16*j*