 when q is divided by 61.
13
Let v = 0 + 4. Suppose 0 = -2*r + v*r - 38. Suppose -47*z + 4547 - 270 = 0. Calculate the remainder when z is divided by r.
15
Let y = 863 + -640. What is the remainder when y is divided by 15?
13
Let y be (-3 - -10 - -257) + -2. Suppose -19*q = -832 + y. Calculate the remainder when 176 is divided by q.
26
Suppose -5*n - 5*g + 36 = -69, 3*g - 31 = -n. Let v(z) = 3*z**2 - 19 + 19 - 15*z + 3 + 15. What is the remainder when n is divided by v(4)?
4
Let c = 14241 + -11377. What is the remainder when c is divided by 30?
14
Suppose -2 = -j + 2*c, 5*c = 3386*j - 3379*j - 32. Let h(x) = x**3 + x**2 - x - 1. Let i be h(-1). What is the remainder when j is divided by (1 - -1) + i + 3?
1
Suppose -4*b = 5*y - 5796, -3*b + 0*b + 3480 = 3*y. Suppose -2*p + 4*m = -734, 3*p - y = -3*m - 2*m. Calculate the remainder when p is divided by 14.
13
Suppose 4*h - 3*h = 25. Let o be (99/(-18))/(-1 - 0)*4. Suppose o*t = h*t - 48. What is the remainder when t is divided by 11?
5
Let w = 1353 + 913. Calculate the remainder when w is divided by 21.
19
Suppose 29*i - 24*i - 84 = -3*m, 0 = -m - 4*i + 7. What is the remainder when 741 is divided by m?
10
Let s(x) = 437*x - 23559. Suppose 3*j - 7*j - 4*w = -348, -5*w - 277 = -3*j. Calculate the remainder when j is divided by s(54).
11
Suppose -2*j + 811 = -5*x + j, 0 = -x - 5*j - 151. Let u be 2/(5 + -7) + (-2 - x). Suppose -14*r + 94 + u = 0. What is the remainder when 57 is divided by r?
3
Calculate the remainder when 328 is divided by (-70)/42 + (-2928)/(-18).
6
Suppose 5*g = 2*z + 1131, 5*g - 1143 = -121*z + 117*z. Let k(s) = -s**2 + 16 + 0 - 13*s - s + s. Calculate the remainder when g is divided by k(-11).
37
Let m(n) = 2*n**3 - 2*n**2 - 17*n + 22. Calculate the remainder when 933 is divided by m(0).
9
Suppose 19*x + 5*u + 275 = 24*x, -3*x - 5*u + 197 = 0. Calculate the remainder when 288 is divided by x.
52
Let x(a) = a**2 - 6*a - 10. Suppose -3*k - 26 = -4*v, -4*v - 5*k = -3*k - 36. Let p(h) = -35*h - 65. What is the remainder when x(v) is divided by p(-2)?
1
Suppose 0 = -33*v + 852 + 72. Suppose -10 - 7 = -b. Calculate the remainder when v is divided by b.
11
Let d = 250 + -105. Let x = 157 - d. Let o = -6 + 14. What is the remainder when x is divided by o?
4
Let s(i) = -3*i**3 + 5*i**2 - 21*i - 106. Calculate the remainder when 5352 is divided by s(-9).
2
Calculate the remainder when 223 is divided by ((-98)/(-70)*-5)/((-2)/4).
13
What is the remainder when ((16 - (0 + 7)) + -34)/(2/(-22)) is divided by 35?
30
Suppose -4*q - 39 + 51 = 0. Suppose -4*k + 0*a = -2*a + 78, -70 = 5*k + q*a. Let l(j) = j + 32. What is the remainder when 41 is divided by l(k)?
11
Suppose -2*b = -5*f - 7 - 1, 4*b = f + 16. Suppose 0 = -b*m + 8, -s + 4*m - m + 12 = 0. Calculate the remainder when (-2)/(-3)*795/10 is divided by s.
17
Suppose -27*q - 49168 = -139*q. What is the remainder when q is divided by 4?
3
What is the remainder when (-4860)/(-2700) + (-48072)/(-10) is divided by 79?
69
Suppose -3*x - 42 + 39 = 0, -x = -p + 23. What is the remainder when 1647 is divided by p?
19
Let h(m) = 11*m + 2993. What is the remainder when h(-14) is divided by 98?
95
Let w(p) = 44*p + 641. What is the remainder when w(-14) is divided by 9?
7
Suppose -4*a + k - 3 = 0, k + k = 3*a + 6. Suppose -8*v - v + 99 = a. What is the remainder when v is divided by 7?
4
Let h = -19806 + 20660. Calculate the remainder when h is divided by 16.
6
Let z = 362 + 287. Calculate the remainder when z is divided by 130.
129
Let d(o) = 10*o + 5. Let f be d(0). Suppose 120 = -f*t + 9*t. What is the remainder when t is divided by 10?
0
What is the remainder when 822 is divided by ((-231)/(-9))/(749/963)?
30
Let z = 14569 + -14402. What is the remainder when 1839 is divided by z?
2
What is the remainder when 269 is divided by ((-3)/(-2))/(27/576)?
13
Let d(j) = -j**3 - 3*j**2 + 4*j + 6. Let i be d(-4). Suppose 5*w - 75 = -2*z + 82, 2*w = i. What is the remainder when z is divided by 9?
8
Let x = 383 + 14. What is the remainder when x is divided by 46?
29
Suppose 0 = 12*h - 96 - 240. Calculate the remainder when 53 + -4 + 6 + -2 is divided by h.
25
Let b(r) = r**2 + 11*r - 25. Suppose -2*c - 46 = 4*x, 2*x + 70 = -3*x - 5*c. Calculate the remainder when b(4) is divided by x/12 + (-177)/(-12).
7
Suppose -22*w - 5*c = -24*w + 18, 0 = 4*w + c - 14. Suppose 54 = 54*s - 48*s. Calculate the remainder when s is divided by w.
1
Let h = -412 - -429. Suppose 4*f - 5 = -5*w - 1, 5*f + 4*w + 4 = 0. Let n = f + 7. What is the remainder when h is divided by n?
2
Let d = 39262 + -38780. Calculate the remainder when 1953 is divided by d.
25
Suppose 20*x = 34*x + 182. Calculate the remainder when -2*x/((-234)/(-405)) is divided by 29.
16
Suppose 1726*l = 1841*l - 140070. Calculate the remainder when 3665 is divided by l.
11
Suppose 8*s - 4*b - 572 = 0, -40*b = -5*s - 39*b + 347. Calculate the remainder when 1903 is divided by s.
67
Suppose 4*f - 767 = 5*n - 5, -3*f + 5*n = -579. What is the remainder when 659 is divided by f?
110
Let k(z) = 3*z - 4. Let y be k(3). Suppose 3*o - 12 = 2*o + y*s, 6 = 4*o + s. Calculate the remainder when (-11)/((-99)/18) + 6 is divided by o.
0
Let d(f) = -24*f**2 + 372*f + 67. Suppose 3*m - 3*i + 6*i + 3 = 0, 3*m - 21 = 3*i. Calculate the remainder when d(15) is divided by m.
1
Let q(r) = 7*r**2 - 4*r + 2. Suppose 13*s - 6*s + 7 = 0. Let k(g) = -27*g - 9. What is the remainder when q(3) is divided by k(s)?
17
Let s(b) = 2*b**3 + 20*b + 27*b - b**3 + 12*b**2 - 48*b + 27 - 30*b**2. What is the remainder when 25 is divided by s(18)?
7
Suppose 4*l = 69 - 89, -3*r + 4735 = 4*l. What is the remainder when r is divided by 26?
25
Let k be (-864)/42 - (-8)/14. What is the remainder when (1/(-3))/((-3)/135) + 1 is divided by -5*(168/k)/7?
4
Let y(k) = -k**3 - k**2 + 2*k - 3. Let m be y(3). Calculate the remainder when (-888)/m + (-2)/(-22) is divided by 0 + 0 + 1 + 5.
3
Suppose -28426 = -264*h - 6778. Calculate the remainder when 2289 is divided by h.
75
Suppose 0 = -3*w + 492 + 1779. Suppose 0 = -4*s - 4, -5*a + 7*s - 5*s + w = 0. Calculate the remainder when a is divided by 22.
19
Suppose 0 = 2*c, -18*p + 19*p - 3*c = -1. What is the remainder when 59 is divided by 3/(-15)*p*(61 - -4)?
7
Let r = -84 - -86. Let q be (-3)/((-11)/4 + 2). Let p = 14 - q. Calculate the remainder when p is divided by r.
0
Suppose 0 = 2*a + 2*z - 74, -8 = -a + z + 35. Let c(u) = 7*u - 6. What is the remainder when a is divided by c(4)?
18
Let k(z) = -4*z + 27. Let i be k(4). Suppose -i*t = -304 + 205. What is the remainder when 122 is divided by t?
5
Suppose -3*x + 2*x - s = 107, x = 3*s - 111. Let v = x - -122. What is the remainder when 22 is divided by v?
8
Suppose -4*n - 4*b = -368, 4*n - 152*b + 147*b - 332 = 0. Calculate the remainder when n is divided by 82.
6
Let m = -29 - -36. Suppose m*z - 304 = 312. Let b = 111 - z. Calculate the remainder when b is divided by 5.
3
Suppose 5*l - 61*z - 540 = -56*z, -2*l + 211 = 3*z. What is the remainder when 13160 is divided by l?
106
Suppose -12 - 393 = -6*c + 3*v, v + 202 = 3*c. What is the remainder when 293 is divided by c?
25
Let v = 682 + -682. Suppose -x - l = -12, 5*l + v = 3*x + 4. What is the remainder when 200 is divided by x?
4
Suppose -8 + 88 = 8*m. Suppose 2*s - m = 0, -6*y + 13 = -7*y + 5*s. Calculate the remainder when 34 is divided by y.
10
Suppose 26*p = -120 + 536. Calculate the remainder when 34 is divided by p.
2
Suppose 0 = -3*x - 227 - 253. Let v = x - -162. Calculate the remainder when v is divided by 2.
0
Let m = -203 + 284. Suppose 3270 + 104 = 7*w. What is the remainder when w is divided by m?
77
Calculate the remainder when 1857 - (-1)/(-13 - -14) is divided by 23.
18
Let h = -1271 + 1877. Calculate the remainder when h is divided by 15.
6
Let a(s) = -6*s - 24. Let f be a(-7). Suppose -p + 47 = 4*j, 0 = j + 4*p - f - 5. What is the remainder when 119 is divided by j?
9
Suppose 85 - 515 = -5*j. Suppose -16*i + 759 = -505. Suppose -3*t - 2*o + i = -43, 15 = -3*o. What is the remainder when j is divided by t?
42
What is the remainder when ((-4312)/(-462))/(1/21) is divided by 52?
40
Let h = 895 - 864. Suppose 4*y - h - 81 = 0. Calculate the remainder when y is divided by 14.
0
Suppose 2*g