 when 24 is divided by v.
6
Let o(j) = 3*j**3 + 6*j**2 - 12*j + 10. What is the remainder when o(4) is divided by 12?
10
Suppose 124 = b - 5*t, 6*b - 4*b + 4*t - 178 = 0. Let u = b + -54. What is the remainder when 132 is divided by u?
42
Let g be 6*((-9)/6 + 2). Let c be 7/4*(29 + g). Let d = c + -29. What is the remainder when d is divided by 15?
12
Let i = -5 - -10. Suppose i*k - 78 = -4*t, -2*t + 38 = 4*k - 28. Suppose -r = r - 70. What is the remainder when r is divided by k?
17
Suppose -57*a + 52*a = r - 26, 0 = r - a - 44. Calculate the remainder when 201 is divided by r.
37
Let y(f) = f**2 + 11*f + 12. Let p be -1 + 2 + (-12 - -1). Let t be y(p). Suppose -t*c = -20 - 6. Calculate the remainder when 37 is divided by c.
11
Suppose 2*s + 0*s - 8 = 0. Calculate the remainder when 46 is divided by 20/(-10)*s*-2.
14
Let x = 4 - 2. Let v(u) = 9*u. Let n(j) = j**2 - j + 3. What is the remainder when n(-5) is divided by v(x)?
15
Let v = 252 - 249. Calculate the remainder when 9 is divided by v.
0
Let r(s) = -6*s + 32. Suppose 4*z = -3*v - 0*z, -3*v + 5*z + 27 = 0. What is the remainder when 43 is divided by r(v)?
3
Let o(r) = r**3 + 2*r - 1. Let x be o(1). Let a(c) = 5*c + 10*c**x - 11 + c**3 + c + 1. Calculate the remainder when 67 is divided by a(-9).
16
Suppose 10*s = 27*s - 255. Let n be (4/1)/2 + -30. What is the remainder when 2 + (-2*1 - n) is divided by s?
13
What is the remainder when 2/7 + 7272/126 is divided by 10?
8
Let h = 10 + -8. Calculate the remainder when (-6 - -36) + (-2)/h is divided by 10.
9
Let v = -1592 - -1612. What is the remainder when -1*(-58 - 1)*1 is divided by v?
19
Let x(k) = 6*k**3 - 2*k**2 + 3*k + 3. Let u be x(-2). Let b = -54 - u. Calculate the remainder when 7 is divided by b.
2
Suppose -u = 1 + 2. Let q(t) = -4*t. Let i(m) = 4*m**2 - 2*m + 3. What is the remainder when i(4) is divided by q(u)?
11
Suppose 0 = 2*o + 2*o + 4. Let s = -1 + 2. Calculate the remainder when (-1)/(o/13*s) is divided by 7.
6
Suppose -44*i + 2790 = -26*i. Calculate the remainder when i is divided by 52.
51
Let s = 549 + -507. What is the remainder when s is divided by 5?
2
Calculate the remainder when (-36)/252 - (562/(-14) - 2) is divided by 26.
16
Let t = 148 - 31. Let j = -91 + t. Suppose -3*o = -a - 0*o + 23, -3*a + 45 = -o. What is the remainder when j is divided by a?
12
Let i = -274 - -373. What is the remainder when i is divided by 20?
19
Let n(c) = 10*c + 95. Calculate the remainder when 110 is divided by n(-8).
5
Let h = 12 + 13. What is the remainder when 6/(104/(-56) + 2) is divided by h?
17
Let t(n) = 7*n**2 + 19*n + 1. Calculate the remainder when t(-8) is divided by 23.
21
Let c = 60 + -15. Suppose 3*a - 3*b = -2*a + c, -36 = -4*a + 2*b. What is the remainder when a is divided by 6?
3
Calculate the remainder when (54065/220)/(2/8) is divided by 17.
14
Suppose c - 2*v - 7 = 2*v, 11 = c - 5*v. Let j(l) = l**2 + 6*l + 11. Let n be j(c). Suppose -2 + n = 3*z. What is the remainder when 35 is divided by z?
11
Suppose 68 = 4*r - 6*w + 2*w, -2*r = -4*w - 42. What is the remainder when r is divided by 7?
6
Let m(i) = 30*i + 103. Calculate the remainder when m(8) is divided by 87.
82
Let j(k) = 2*k**2 + 5*k + 2. Let n be j(-3). Suppose -n*z = -8*z + 288. Suppose 0 = -4*v + v + z. What is the remainder when v is divided by 7?
4
Suppose 153 = 3*n + 2*b, -5*b = -n + 28 + 23. Calculate the remainder when n is divided by 33 + 15/6*-2.
23
Suppose -7*c = -2*c + 5. Let m = -5 - c. What is the remainder when (-1704)/(-40) - m/10 is divided by 15?
13
Let k(p) = -p**2 + 27*p + 34. What is the remainder when 134 is divided by k(27)?
32
Let r be (3 + -1)/(6/10)*57. Suppose -19 = 9*a - r. What is the remainder when 54 is divided by a?
16
Suppose -3*q - 5*l = -4*q + 52, 4*q - 3*l = 225. Let h = -33 + 39. Calculate the remainder when q is divided by h.
3
Suppose -5*r + 16 = -w, 2*r - r - 2*w - 5 = 0. Calculate the remainder when 16 is divided by (8 - -1) + 4 - r.
6
Suppose -223 = -15*m + 92. Suppose -2*d + 145 + 21 = 0. Calculate the remainder when d is divided by m.
20
Let q = 134 + -76. Let m(v) = 13*v - 1. Let b be m(1). Suppose -60 = -b*w + 7*w. What is the remainder when q is divided by w?
10
Let h(i) = -11*i + 108. What is the remainder when h(-18) is divided by 28?
26
Suppose -65*z - 40 = -70*z. Suppose 0 = o - 3*m - z, 4*o - m - 32 = m. Calculate the remainder when 22 is divided by o.
6
Let t be (-4)/(-6)*(-36)/1. Let b(d) = d**3 - 10*d**2 + 4*d + 7. Let n be b(10). Let w = n + t. What is the remainder when 90 is divided by w?
21
Let f(k) = -12*k - 3. Let a = 39 + -37. Suppose -5*i = a*i - 63. What is the remainder when f(-3) is divided by i?
6
Suppose 4*r - 4*z = 156, -3*r + 64 + 37 = z. Calculate the remainder when ((-42)/4)/(3/(-18)) is divided by r.
28
Suppose 81*t - 82*t = -23. What is the remainder when 67 is divided by t?
21
Suppose 0*s + 74 = -5*o - s, -5*s = -5. Let j(p) = p**3 + 16*p**2 + 14*p + 11. What is the remainder when j(o) is divided by 5?
1
Suppose -2*z - 45 = -7*z. What is the remainder when 33 is divided by z?
6
Let g(b) = 5 - 5 + 0 + 1 + 6*b. Let z(q) = -13*q - 3. Let v(l) = 9*g(l) + 4*z(l). Calculate the remainder when 51 is divided by v(6).
6
Suppose 0 = -32*a + 34*a - 102. Let r = -38 + a. Calculate the remainder when r is divided by -1 + 6 - 2/2.
1
Let r(c) = c**2 - 34*c + 71. Suppose 0 = 4*d - 3*t - 63, 4*t - 3*t = -5. Calculate the remainder when d is divided by r(32).
5
Let f be -2 + (-3)/(6/8). Suppose -v + 2*v + 3*r = 1, 3*v + 4*r = 8. Calculate the remainder when 19 is divided by (-64)/f + v/(-6).
9
Let a be (-2)/(-3) + 13/3. Suppose -5*f + m = -4*m - 160, -2*f + a*m + 55 = 0. Suppose 0 = 3*z - 10 - 17. What is the remainder when f is divided by z?
8
Let u(w) = w**2 - 5*w. What is the remainder when 286 is divided by u(6)?
4
Let y = -170 + 62. Let i = y + 242. What is the remainder when (3 + i/(-4))*-2 is divided by 21?
19
Suppose 2*o + 0 + 0 = 0. Suppose o = 4*r - 10 - 86. Calculate the remainder when r is divided by 5.
4
Let q = 6 + 7. Let t = 4 + 0. Suppose -t*b + 4*k + 37 = b, 15 = -5*k. Calculate the remainder when q is divided by b.
3
Suppose 5*q = 5*h + 23 + 7, 5*h + 4*q - 6 = 0. Let n = h + 5. Calculate the remainder when n is divided by (1302/217)/(2 - 0).
0
Let k = -460 + 525. What is the remainder when 127 is divided by k?
62
Let t(v) = v**3 + 2*v**2 + v + 3. Let x be t(-3). Let i be -1*3/3 + x. Let h = 21 + i. Calculate the remainder when 20 is divided by h.
9
Suppose 84*o = 72*o + 636. Calculate the remainder when 202 is divided by o.
43
Let s(t) = t**3 + 6*t**2 + 3*t + 5. Let p = -1050 - -1136. Calculate the remainder when p is divided by s(-5).
11
Suppose 5*x - o - 30 = 3*o, -50 = -3*x - 4*o. Suppose y - x = -y. Suppose y*l + 29 - 279 = 0. What is the remainder when l is divided by 13?
11
Suppose 3*f - 5*f = 6. Let q = 9 + f. Let u(c) = c + 5. What is the remainder when 42 is divided by u(q)?
9
Suppose 3*j = 4*j + 8. Calculate the remainder when (-2136)/(-28) - j/(-28) is divided by 39.
37
Let z(u) = u**3 + 4*u**2 - u - 6. Let r be z(-5). Let t = -16 - r. Calculate the remainder when 29 is divided by t.
9
Suppose 2*i = -3*v + 16, i = 4*v - v - 10. Let f = 3 + i. Suppose f*z = -0*z + 85. Calculate the remainder when 65 is divided by z.
14
Suppose -8*q + 6*q = 0. Suppose -4*l + 16 = 2*v, v + q*l = 5*l + 1. Calculate the remainder when 53 is divided by v.
5
Suppose -n + 2*n = 3. Suppose n*d = d + 50. What is the remainder when 71 is divided by d?
21
Let f be (-66)/(-12)*(1 - 3). Let d = f - 13. Let u = d + 41. Calculate the remainder when u is divided by 9.
8
Suppose -3 = -2*l + 3. Suppose 4 = -l*a + 28. What is the remainder when a is divided by 5?
3
Let d be 2/12 + (-1432)/(-48). Suppose -9*f = -6*f - 201. Let q = f - d. Calculate the remainder when q is divided by 19.
18
Let r = 2481 - 2074. Calculate the remainder when r is divided by 74.
37
Let b(t) = -6*t**3 - 2*t**2 - 2. Let l be b(-2). Suppose 5*s - 392 = 2*h, -41 - l = -s + h. Let v = s - 50. What is the remainder when v is divided by 15?
13
Let l = -316 + 329. Suppose 2*k + 3*m - 232 = -80, -5*k - 4*m + 373 = 0. Calculate the remainder when k is divided by l.
8
Let c(o) = o**3 - o**2 + o + 22. Let n(x) = x**2 - 3*x - 6. What is 