pose -2*z = -x + 9, -4 - 6 = 5*z. Suppose -16 = -b - 3*u + u, x*b + u = 107. Calculate the remainder when b is divided by 14.
8
Let s(z) = 2*z + 60. Calculate the remainder when s(17) is divided by 24.
22
Suppose -41 = -8*u - 17. Calculate the remainder when 41 is divided by u.
2
Let i = -6 + 2. Calculate the remainder when -35*i/20*4 is divided by 5 + (16/(-56) - 18/(-14)).
4
Suppose 4*j + 630 = 18*j. What is the remainder when 100 is divided by j?
10
Suppose -39*q = -1523 + 2. What is the remainder when 111 is divided by q?
33
Suppose 44 = 5*w - 26. What is the remainder when 83 is divided by w?
13
Let y = 2 + 2. Suppose -4*a + 52 - 13 = -x, -2*a = -y*x - 30. Let r(t) = -5*t. Calculate the remainder when r(-3) is divided by a.
6
Suppose -16*q + 15*q + 41 = 0. Suppose 2*k + 0*k = -5*c + 61, 0 = k - 4*c - 24. Suppose 0*n = -2*n + k. Calculate the remainder when q is divided by n.
13
Let j = 0 - -9. What is the remainder when (-2)/((-312)/680 - (-4)/10) is divided by j?
7
Suppose -5*t - 9 + 55 = 4*z, 3*z + 88 = 5*t. Let q be (1 + 1)/(3/6). Suppose 2*k - q*k = -18. What is the remainder when t is divided by k?
5
Suppose -7*l = 5*n - 92, -5*l + 3 = -2. Calculate the remainder when 1630 is divided by n.
15
Suppose 2*h + 18 = 8*h. Suppose -126 = -5*w - 4*x, h*w - 75 = -0*w - 3*x. Let n = 83 - w. What is the remainder when n is divided by 15?
12
Let w(f) = -f - 2. Let j be w(-3). Let a = 0 - j. What is the remainder when 25 - (-2)/(-2 - a) is divided by 14?
9
Let r be (-2)/2*1*1. Let a(w) = w + 1. Let i(z) = 3*z + 9. Let f(g) = r*i(g) + 2*a(g). Calculate the remainder when f(-11) is divided by 3.
1
Suppose 0*q + 3*q - 3 = 0. Suppose 0 = -n - q + 5. Suppose u - n = 77. Calculate the remainder when u is divided by 28.
25
Suppose 3*u = -u. Suppose -z + 44 - 13 = u. Calculate the remainder when z is divided by 16.
15
Calculate the remainder when (2 + (-5)/3)/(3/3501) is divided by 14.
11
Let g(l) = l**3 + 19*l**2 + 14*l - 4. What is the remainder when 406 is divided by g(-18)?
66
Let r be 2 + -3*4/4. Calculate the remainder when 1/((-29)/(-28) + r) is divided by 10.
8
Let c(a) = -a**3 + 38*a**2 - 21*a - 536. What is the remainder when 262 is divided by c(37)?
38
What is the remainder when 61 is divided by 55/22*234/45?
9
Let u = 17 - 14. Let z = u + 20. Calculate the remainder when 65 is divided by z.
19
Let f = -29 + 29. Let j(r) = -r + 50. Let h = -12 - -25. What is the remainder when j(f) is divided by h?
11
Suppose -82 + 412 = -5*g. Calculate the remainder when (-16)/(-56) - (-18)/(-14) - g is divided by 16.
1
What is the remainder when (0 - 2/(-4))/(79/3950) is divided by 15?
10
Suppose 2*g + 27 = -4*v + 211, -4*v + 98 = g. Calculate the remainder when 155 is divided by g.
69
Let a = 15 - 13. Suppose 21 = -a*m - 13. Let r = m + 30. What is the remainder when r is divided by 3?
1
Let g(w) = 62*w + 317. What is the remainder when 103/2 - 2/(-4) is divided by g(-5)?
3
Suppose 16*w = 18*w + 4. Let b be (2/6)/(w/6). What is the remainder when -4*57/12*b is divided by 5?
4
Let x = 5 - 5. Let b be (-8)/16*(x - 0). Suppose -t + 8 - 2 = b. Calculate the remainder when 23 is divided by t.
5
Let f be 34/16 - (-1)/(-8). Suppose -f*c - w = -97, 3 = -w - 2. What is the remainder when c is divided by ((-156)/(-16))/((-9)/(-24))?
25
Let t(u) = 0 - u - 1 - 6 + 3. Let h be t(-6). Suppose -43 = -5*r - h*m, 0 = r - 2*m - 11. What is the remainder when r is divided by 6?
3
Let p(b) = 2*b**2 + 13*b - 27. Let n be p(-8). Let a be 12/(-7)*(-70)/4. Calculate the remainder when (3 - a)/n - 1 is divided by 5.
3
Let t be (-40)/(-6)*90/3. Suppose -l + 0*u + 69 = 2*u, u = 3*l - t. Suppose -4*v + 72 = p, -2*p + 18 + 7 = v. Calculate the remainder when l is divided by v.
16
Suppose 5*c - 30 = 25. Let w(x) = 7*x**2 + x - 16. Let s(n) = n**2 + n - 1. Let k(l) = -5*s(l) + w(l). Calculate the remainder when k(5) is divided by c.
8
Let c(i) = -i**2 - 6*i + 2. What is the remainder when 1562/99 - 16 - 724/(-18) is divided by c(-5)?
5
Suppose 5*c - 6*c = 0. Suppose c = 5*m - 4*v - 239, 0*v - 2*v - 49 = -m. Let f = m + 0. What is the remainder when f is divided by 12?
11
Let x be ((-12)/(-10))/((-10)/(-25)). Suppose q + 105 = 6*q - c, -x*q + c = -61. Let b = -5 + q. What is the remainder when 33 is divided by b?
16
Suppose -i - 297 = -508. What is the remainder when i is divided by 45?
31
Suppose -4*f - 10 = f. Let x = 40 + -33. What is the remainder when (f - (2 + -47)) + -2 is divided by x?
6
Let f(y) = -y**3 - 6*y**2 - 8*y + 7. What is the remainder when 72 is divided by f(-4)?
2
Let g = 372 - 225. What is the remainder when g is divided by 25?
22
Let h be (-3 - -3) + (2 - -26). Suppose -2*x + h = 2. Calculate the remainder when 60 is divided by x.
8
Suppose -2*a = -3*z + 275, -2*z - 187 + 587 = -3*a. Let o = 185 + a. What is the remainder when o is divided by 21?
13
Suppose 14 = 3*n - 37. Let x = -13 + n. Suppose 0 = -x*l - 5*r + 5 + 22, -5*r = 5. What is the remainder when l is divided by 5?
3
Let o be 3*2*(-10)/(-15). Let n(v) be the second derivative of 2*v**3 + 2*v**2 + 10*v. What is the remainder when n(o) is divided by 18?
16
Let i(z) = -5*z**3 + 16 - z**2 + 3*z + 3*z**3 - 13. What is the remainder when i(-3) is divided by 7?
4
Calculate the remainder when 223 is divided by 1116/20 - -1*(-3)/(-15).
55
Let v(p) = -2*p - 4. Let b(o) = -o - 24. Let t be b(-18). Calculate the remainder when 12 is divided by v(t).
4
Let v(h) = -47*h + 100. What is the remainder when v(0) is divided by ((-3)/6)/((-4)/136)?
15
Let n = 41 - 32. Let y = n - 10. What is the remainder when (-92 + (3 - -1))/y is divided by 15?
13
Suppose 8*o - 5*o - 3*l - 48 = 0, -5*l = 4*o - 82. What is the remainder when 394 is divided by o?
16
Let n(d) = 3*d**2 - 22*d + 56. What is the remainder when 195 is divided by n(7)?
48
Let u(j) = j**2 + j. Let y be u(-4). Suppose -y*i = -11*i - 6. Let l = 62 + -33. Calculate the remainder when l is divided by i.
5
Suppose -1176 = -23*x + 250. Calculate the remainder when x is divided by ((-21)/(-2) + 0)*2.
20
Suppose 3*a + a - 5*g = 97, a = -2*g + 34. Let i = a + -19. Let u = 24 - i. What is the remainder when u is divided by 4?
3
Suppose -15 = -5*v + 2*o, 2*o + 15 - 40 = -3*v. Suppose 2*p = v*p - 63. Suppose -24*b + 6*b = -144. What is the remainder when p is divided by b?
5
Let z be ((-118)/(-4))/((-8)/16). Let v(n) = -n + 83. Let m be v(0). Let j = m + z. What is the remainder when 92 is divided by j?
20
Suppose j + 52 = 2*l, -2*j - 3*j + 145 = 5*l. Suppose 2*u + u = l. Suppose o = -a + 8 + 3, 3*a + 4*o - 38 = 0. What is the remainder when u is divided by a?
3
Let c be 83 - (3 - 0/(-5)). Suppose 6*d = 4*d + c. Calculate the remainder when d is divided by 14.
12
Let t(l) = -l**3 + 48. Let u be t(0). Let w = u - 37. Calculate the remainder when 87 is divided by w.
10
Let p(m) = -2*m + 19. Calculate the remainder when (-8556)/(-253) - (-2)/11 is divided by p(0).
15
Suppose 2*o = 4*p + 92, o + 2*p - 10 - 16 = 0. Calculate the remainder when 138 is divided by o.
30
Suppose -4*v - 2 = -58. Calculate the remainder when v is divided by 8.
6
Suppose 0*d = 2*d + 5*t - 15, 3*d - 85 = 5*t. Suppose -3*m + 5*m = d. Calculate the remainder when 27 is divided by m.
7
Let k be 2 - ((-30)/1 - 1). Suppose -121 + k = -4*b. What is the remainder when b is divided by (-4)/(-8)*(-32)/(-2)?
6
Let j = -124 - -286. What is the remainder when j is divided by 55?
52
Suppose 32*k - 36*k - d + 722 = 0, -5*k = -d - 907. What is the remainder when k is divided by 53?
22
Let o = -31 - -45. Calculate the remainder when (0 + 26)*(-126)/(-63) is divided by o.
10
Let g(i) = -i**3 + 10*i**2 - 20*i + 10. Let b be g(6). Let l = 51 - b. Calculate the remainder when 101 is divided by l.
16
Let y(c) = c**3 + 13*c**2 + 21*c - 9. Calculate the remainder when y(-8) is divided by 39.
26
Suppose -7*j - 26 = -8*j. Let y = -14 + j. Let f(u) = -22*u. What is the remainder when f(-1) is divided by y?
10
Let v(p) be the third derivative of -11*p**4/12 + 36*p**2. Calculate the remainder when 87 is divided by v(-1).
21
Suppose 0 = 8363*p - 8361*p - 30. Calculate the remainder when 463 is divided by p.
13
Suppose -5*c = -2*d + 53, 52*d = 50*d - 2*c + 18. Calculate the remainder when 1231 is divided by d.
13
Let v(n) = 4*n + 1