e remainder when o(z) is divided by 11.
7
Suppose 2*y - 32 = -4*p, 0 = p + 3*y + 42 - 60. Calculate the remainder when 68 is divided by p.
2
Let t(d) = -7*d + 0*d - 26 + d. What is the remainder when t(-13) is divided by 27?
25
Let y(f) = 2*f**2 - 11*f + 34. Let d be y(5). Let t(c) = -c**2 + 32*c - 51. Calculate the remainder when t(d) is divided by 13.
10
Suppose n = -4*g - 19, 2*g - 2 - 2 = 0. Suppose 2*o - 3*o = 2*m + 5, -4*o - 8 = 2*m. What is the remainder when -3*m/((-6)/n) is divided by 14?
13
Suppose -4*h + 324 = -2*r, 14*h - 2*r = 19*h - 396. What is the remainder when 98 is divided by h?
18
Let s = -162 - -98. Let d = s - -110. What is the remainder when 89 is divided by d?
43
Let g = -36 - -40. Suppose -4*k + 3*s = -70, g*k + 3*s + 36 - 94 = 0. Calculate the remainder when -1 + -1 + 35 + -3 is divided by k.
14
Let h(r) = -r**2 + 2*r + 5. Let t be h(0). Suppose -g - 2*v + 10 = v, 3*g + t*v - 34 = 0. Calculate the remainder when g is divided by 4.
1
Suppose -893 = -12*g + 55. Calculate the remainder when g is divided by 20.
19
Suppose -12*r = r - 1027. Let x = 89 - r. What is the remainder when 17 is divided by x?
7
Suppose 7*b = 1677 + 3909. What is the remainder when b is divided by 80?
78
Let k(v) = -11*v - 51. Let g be 10*((-2)/(-12) + 12/(-18)). Suppose 10 = f + 3. What is the remainder when f is divided by k(g)?
3
Let t(k) = 0*k**3 + 38*k**2 + k**3 - 11*k - 47*k**2. Let f be t(10). What is the remainder when 53 is divided by 1/(-2) + (-285)/f?
25
Suppose -3578 - 849 = -5*j + y, -2*y + 892 = j. What is the remainder when j is divided by 89?
85
Suppose -4*f + 3*k = -75, -25 = -2*f - 0*f - k. Calculate the remainder when 3/f + (-808)/(-10) is divided by 41.
40
Let n = -63 + 108. What is the remainder when n is divided by 8/(-56) + 212/14 + 2?
11
Let l(n) = -3*n + 6. Let f(s) = 3*s - 5. Let d(q) = 3*f(q) + 2*l(q). Calculate the remainder when 86 is divided by d(11).
26
Suppose 415 = 4*m - t + 35, 0 = 3*m + 2*t - 296. What is the remainder when m is divided by 30?
6
Suppose 9*h - 423 = 18. What is the remainder when 170 is divided by h?
23
Let r be (-3)/(-6) - 6/(-4). Calculate the remainder when 24 is divided by -4 - 33/(r + -5).
3
Calculate the remainder when 136 is divided by (276/16)/(3 + (-63)/24).
44
Suppose -24*w + 32*w - 256 = 0. What is the remainder when 124 is divided by w?
28
Let a(o) = 5*o - 14. Let c be a(-5). Calculate the remainder when (-2 - 12/9)*c/2 is divided by 34.
31
Suppose 2 = -3*n + 332. What is the remainder when n is divided by 19?
15
Suppose -31 + 179 = 4*k - 3*v, 5*k = -3*v + 185. Let w(d) be the first derivative of -4*d**2 - 5*d + 12. Calculate the remainder when k is divided by w(-3).
18
Let x be ((-8)/5)/(2/(-5)). Suppose 7 = x*m + g - 46, 2*m - 3*g = 9. Calculate the remainder when 23 is divided by m.
11
Let g = -135 - -176. Calculate the remainder when 121 is divided by g.
39
Suppose -4*v + 2*m - 4 = 2, -12 = -v + 5*m. What is the remainder when -2*48*1/v is divided by 7?
4
Let p = 17 - 21. Let b = 105 - 46. Calculate the remainder when b is divided by p/(-14) - 1104/(-56).
19
Suppose 5*k - 2*l = -12 + 42, -2*k + 23 = -3*l. Suppose 0 = a - 112 + 145. Let q = -26 - a. What is the remainder when q is divided by k?
3
What is the remainder when (-5476)/(-18) - 0 - 82/369 is divided by 61?
60
Let a = 2 - -2. Let w(y) = y**2 + 15*y + 2. Let m = 40 - 55. Calculate the remainder when a is divided by w(m).
0
Let j = -660 + 771. Calculate the remainder when j is divided by 38.
35
Suppose -50*r = -47*r - 423. What is the remainder when r is divided by 43?
12
Let f be (-16)/(-6)*(-6)/(-4). Let i = 152 + -145. Suppose 0 = f*z + i - 31. Calculate the remainder when 23 is divided by z.
5
Let o(u) = -2*u - 11. Let v be o(-8). Suppose -5*m + 2*d + v = 0, 5*m + 0*m - d - 5 = 0. What is the remainder when (-6 - (-7 + 1)) + 1*3 is divided by m?
0
Let n be (24/36)/((-2)/(-42)). Suppose -n = -7*r + 7. Let z(y) = -10*y**3 + y + 1. What is the remainder when z(-1) is divided by r?
1
Suppose 3*d + 5*q - 32 = 0, 72*q - 15 = 75*q. What is the remainder when 48 is divided by d?
10
Let o = -34 + 61. Calculate the remainder when (-316)/(-6) + (-7)/168*-8 is divided by o.
26
Suppose 3*o + 2*o + 129 = 2*l, 4*o = 4*l - 276. What is the remainder when l is divided by 36?
0
Suppose 3*c + 126 = 3*k, -2*k + 5*c - 13 + 94 = 0. Let l = k + -28. Let w = l + -12. What is the remainder when 4 is divided by w?
1
Let v = -32 + 34. Let w(o) = 8*o - 5. What is the remainder when 30 is divided by w(v)?
8
Suppose -2*p + 40 = -2*r, p + 0*p - 5*r - 20 = 0. Suppose 0 = -3*n + z + p + 26, -10 = -n - 5*z. Calculate the remainder when (-1)/(2*3/(-168)) is divided by n.
13
Let p(r) = -r**3 + 5*r**2 + 9*r + 2. Let i be p(6). Suppose -i = -2*u - 6. Let j(o) = o**2 - 6*o - 9. Calculate the remainder when j(9) is divided by u.
4
Let y(w) = -w**2 - 3*w + 69. Let d = -3 - -8. Calculate the remainder when (-28)/5*d*-1 is divided by y(6).
13
Suppose 109*j + 474 = 115*j. Calculate the remainder when j is divided by 29.
21
Let d(s) = 2*s**2 - 80*s - 236. What is the remainder when 552 is divided by d(44)?
88
Let f(q) = -q**2 + 11*q - 4. Suppose 5*p - 45 = -0*p. Calculate the remainder when f(p) is divided by -1*8/(1 - 2).
6
Let z = 4 + -1. Suppose 3*q = -5*w + 2*q + 358, -q = -z*w + 210. Let m(y) = y**3 + 10*y**2 + 10*y + 27. What is the remainder when w is divided by m(-9)?
17
Let t be (20/(-8))/((-3)/6). What is the remainder when 28 is divided by (0 - t)*(-48)/24?
8
Let b(c) = -10*c + 7. Let w(p) = p. Let k(y) = -b(y) - 6*w(y). Let r = 6 - -19. Calculate the remainder when r is divided by k(5).
12
Let k be 9/(-4) + (-6)/(-24). Let a(p) = -35 + 35 - 11*p. Calculate the remainder when 107 is divided by a(k).
19
Let k = -32 + 39. Let t(f) = -6 - k*f + 2*f + 1 + 3. Calculate the remainder when t(-8) is divided by 13.
12
Let u(h) = h**3 + 20*h**2 + 19*h + 22. Let z be u(-19). Suppose -2*c = 2, -c = -2*n + c + z. What is the remainder when 17 is divided by n?
7
Let q = -2 - -8. Let h be 2*2/(-4) - -15. Suppose d - h = 2*y, 8*y - 4*y + 8 = 0. What is the remainder when d is divided by q?
4
Suppose 5*p + 222 = 6*p. Calculate the remainder when p is divided by 57.
51
Suppose 3*o = o - 2. Calculate the remainder when (1 - -1)*o + 5 is divided by 3.
0
Let q = -25 - 9. Let x = q + 43. Calculate the remainder when 34 is divided by x.
7
Let g = -2 - -5. Suppose -17*i - 72 = -5*i. Let n = g - i. Calculate the remainder when 15 is divided by n.
6
Suppose 0 = -14*l + 168 + 28. What is the remainder when 41 is divided by l?
13
Suppose -10 + 11 = -n. Calculate the remainder when ((-12)/(-4) - 111)*n is divided by 38.
32
Let s(c) = 196*c + 202. Calculate the remainder when (0 - -2)*(-57)/(-6) is divided by s(-1).
1
Let z = 1766 + -1719. What is the remainder when z is divided by 35?
12
What is the remainder when 324 is divided by 87 + (11 + -35)/6?
75
Let p = 97 - 94. Suppose -m - p*m = -44. Calculate the remainder when 38 is divided by m.
5
Let s be (1/((-2)/(-28)))/1. Let x be (-48)/28 + 2 + (-2)/7. Suppose x = l - s - 1. Calculate the remainder when 42 is divided by l.
12
Suppose -2*w - 5*k + 61 = 0, 5*k = 4*w + 55 - 222. Let t be 5*-1*(-8)/5. What is the remainder when w is divided by (10/t)/(3/24)?
8
Calculate the remainder when 87 is divided by 10*(3 + 1*(-6)/(-12)).
17
Let d be -2 + 3 + 1 - -3. Let t = 20 - d. Suppose -5*r = 3*w - 12, -4*w + 1 + t = r. What is the remainder when w is divided by 2?
0
Suppose -13 = -2*q + 7. Calculate the remainder when (458/q - 0) + (-32)/(-160) is divided by 8.
6
Let g be (-4300)/55 + (-4)/(-22). Calculate the remainder when g/(-3) + (-9)/(-3) is divided by (-6)/(-5)*(-125)/(-10).
14
Suppose 3*b - 2*i = 88, -2*b + 19 = i - 28. Let r = -3 + b. What is the remainder when r is divided by 1/((4/(-10))/(-2))?
3
Let q be (4 - -2)/(1 + -2). What is the remainder when 22 is divided by q/4 + 348/24?
9
Calculate the remainder when 356 is divided by 38 + -3 + 70/7.
41
Let z = -10 + 13. Suppose 0 = 2*u - z*i - 9, 0 = -5*u - 3*i + i + 13. Suppose -6 = u*l - 33. Calculate the remainder when 16 is divided by l.
7
Let w(l) = l - 2. Let y(d) = -d**2 - 4*d + 1. Let b be y(-4). Let o be w(b). What is the remainder when 40 is divided by (o - -8)/(9/18)?
1