441. What is the remainder when q is divided by 31?
23
Suppose 257 = -4*s + 345. What is the remainder when 745 is divided by s?
19
Let v = -85 + 130. Suppose 8*q = -q + v. What is the remainder when 12 is divided by q?
2
Let d(k) = -9*k - 2. Let c be (-53)/11 + 6/(-33). What is the remainder when d(c) is divided by 15?
13
Suppose 51 = 10*v - 69. Calculate the remainder when v*(-10)/15*138/(-8) is divided by 28.
26
Let r(t) = 6*t**2 - 3*t + 5. Let l(w) = w**2 + 13. What is the remainder when l(0) is divided by r(1)?
5
Calculate the remainder when 103 is divided by (18/(-3) - -11) + 13.
13
Let r(c) = -1 + 8*c + 20*c - 4*c - 3*c. What is the remainder when 59 is divided by r(1)?
19
Let z = 345 + -243. Calculate the remainder when 391 is divided by z.
85
Suppose -3*u = -3*g - 552, -573 = -4*u - g + 173. Calculate the remainder when u is divided by 14.
4
Let p = 27 - -62. What is the remainder when p is divided by 45?
44
Let y be (7 - 3) + (162 - -3). Let d = -86 + y. What is the remainder when d is divided by 29?
25
Let f = 25 + -12. Calculate the remainder when -48*(-5)/15*3/2 is divided by f.
11
What is the remainder when 591 is divided by 23/(-46) - (-109)/4*2?
51
Suppose -2*v + 4*v + 4 = 5*k, 0 = -2*v + 4*k. Let b = 1 + v. Let q = 21 - b. What is the remainder when q is divided by 9?
3
Let d(a) = 48*a + 743. What is the remainder when d(-5) is divided by 24?
23
Let v(c) = -50*c - 82. What is the remainder when 150 is divided by v(-3)?
14
Suppose -16*a + 11*a = -50. Let v = -5 + a. Calculate the remainder when 12 is divided by v.
2
Suppose 5*j + 3*t + 261 = 7*j, -3*j - t + 364 = 0. Calculate the remainder when j is divided by 25.
23
Let w(z) = 131*z**2 - 5*z - 1. What is the remainder when w(-1) is divided by 39?
18
Suppose 0 = 4*o + 3*q - 27, -1 = o + 4*q - 11. Suppose 0 = -4*y + 6 + o. Suppose 5*d - 71 = -21. What is the remainder when d is divided by y?
1
Let c = 51 + 0. Calculate the remainder when c is divided by 15.
6
Let m = -361 - -373. What is the remainder when 119 is divided by m?
11
Let z be ((-66)/(-10))/(6/90). Suppose u - 125 = -3*o, 4*o - 5*u = z + 74. Calculate the remainder when o is divided by 5.
2
Let p be (7 + -10)/((-3)/(-2)). What is the remainder when 52 is divided by p/10 + 816/30?
25
Suppose 150 = 5*r - 4*f, r = 2*r - f - 31. What is the remainder when r is divided by 11?
4
Let p(z) = -z - 7. Let s(d) = -4*d - 28. Let i(q) = 9*p(q) - 2*s(q). Suppose -5*o + 133 + 2 = 0. Calculate the remainder when o is divided by i(-14).
6
Let b = 652 - 315. What is the remainder when b is divided by 97?
46
Let z(u) = 171*u - 484. What is the remainder when z(3) is divided by 15?
14
Let y = -126 - -158. What is the remainder when 59 is divided by y?
27
Let o = 43 + -34. Calculate the remainder when 20 is divided by o.
2
Suppose 5 = -4*k + 53. Let d(b) = -5*b - 17. What is the remainder when d(-12) is divided by k?
7
Suppose w = -8 - 32. Let h = w + 50. What is the remainder when 33 is divided by h?
3
Suppose 2*a - 3*x = x + 22, 4*x - 3 = -3*a. Let l(r) = -r**3 + 6*r**2 + 3*r + 1. What is the remainder when l(a) is divided by 6?
5
Let c = -1076 - -1624. Calculate the remainder when c is divided by 46.
42
Suppose -m - 3 + 2 = 0. Let q be (m/1 + 3)/2. What is the remainder when -2 + 84/(1 + q) is divided by 21?
19
Suppose 0 = r + 4*r - 90. What is the remainder when r is divided by (-6)/(-9) - (-5)/(30/62)?
7
Let x = -48 - -33. Let c = x + 15. Suppose 0*s - 5*s + 100 = c. What is the remainder when s is divided by 7?
6
Let w = 3 - -6. Suppose -4*v + 23 = 5*r, -4*r + 5*v = -2*r + 4. Suppose b = w + r. Calculate the remainder when 42 is divided by b.
6
Let l(k) = k**2 - 6*k - 9. Let s be l(8). Let o = 26 - s. What is the remainder when 56 is divided by o?
18
Let s = -844 - -958. Calculate the remainder when 219 is divided by s.
105
Let w be -3*(4 - 3) - 8*-1. Suppose 140 = w*q - q. What is the remainder when q is divided by 14?
7
Let s = -20 + 36. Let h(n) = n + 11. What is the remainder when 80 is divided by h(s)?
26
Let p = 1416 + -1356. Calculate the remainder when 208 is divided by p.
28
Let h(x) = -x**3 - 8*x**2 + 7*x + 1. Let n be h(-9). Suppose -n - 21 = -5*s. Calculate the remainder when 21 is divided by s.
5
Let j(x) = 2*x - 2. Let i be j(-12). Let v = 31 + i. Suppose -2*z + v*a - 50 = -206, -z = -3*a - 77. Calculate the remainder when z is divided by 43.
40
Suppose 6*l - l = 4*c - 25, 0 = 3*c - 2*l - 10. What is the remainder when 22 is divided by (-406)/(-35) - (2/(-5) + c)?
10
Suppose -10 = -2*v, -4*i - 27 - 35 = -2*v. Let o be (-4)/6*(-156)/i. Let k = o - -23. What is the remainder when 27 is divided by k?
12
Suppose -7 - 19 = -4*a - 2*q, -4*q - 3 = -3*a. Let i(n) = n - 9*n**2 + 6*n + 27*n**2 - 5*n - 1. Calculate the remainder when i(1) is divided by a.
4
Let h(j) = -j - 10. Let z be h(-6). Calculate the remainder when 1/2*z*-13 is divided by 7.
5
Suppose -5*y - 2*m = -88, -m = -y - 2*m + 17. Suppose 0 = 76*f - 80*f + 420. What is the remainder when f is divided by y?
15
Suppose -2*f + 106 + 158 = 4*g, f = 0. Suppose 12*i - 15*i = -g. Calculate the remainder when 83 is divided by i.
17
Let h be (-16)/((-1 - -2)/1). Let i = h - -49. What is the remainder when i - (2*-3)/(-2) is divided by 16?
14
Let q = -317 + 483. What is the remainder when q is divided by 54?
4
Let m(i) = 29*i**3 - 11*i + 10. Suppose 348 = 4*p + 5*c, 3*c = 4*p + 31 - 347. Calculate the remainder when p is divided by m(1).
26
Suppose 7*l - 10*l = -r + 19, 4*l - 19 = -r. Let h be 20/25*(-5)/(-2). Suppose h*n = -n + 33. What is the remainder when r is divided by n?
8
Let l be 1/(-6) - (-133)/42. Suppose l*a + 74 = i, 2*i + 4*a - 46 = i. Let m = -19 + 32. Calculate the remainder when i is divided by m.
10
Let k(i) = 4*i**2 + 6*i - 1. Suppose 2*w - 3*w - y + 16 = 0, 3*w - 60 = 3*y. What is the remainder when k(4) is divided by w?
15
Let j be ((-20)/16)/(2/8). Let u = -6 - -109. What is the remainder when u is divided by (-1)/j - 129/(-5)?
25
Let n(o) = -o**3 + 30*o**2 + 12*o - 96. What is the remainder when n(30) is divided by 14?
12
Suppose 14*s + 3233 = 3401. Let q be (-2)/(-4) + (-375)/(-2). Suppose 5*r - r = q. What is the remainder when r is divided by s?
11
Let z(y) = -y**2 + 13*y - 1. Let c be z(12). Let l(x) = 2*x - 6. Let r(g) = 10*g + 3. What is the remainder when r(6) is divided by l(c)?
15
Let r be ((-4)/5)/((-1)/25). Let k = r - 26. What is the remainder when 27/(-3)*44/k is divided by 34?
32
Let a = -67 + 12. Let q be 4/(-22) + 210/a. What is the remainder when (-43 - -5)*2/q is divided by 11?
8
Let z be ((-1)/(-4))/(2/40). Suppose 11 = -z*o + 16. What is the remainder when 1 is divided by o?
0
Calculate the remainder when 40 is divided by (-75)/(-10)*2*(-2 + 3).
10
Let p(f) = -5*f - 39. Let x = -126 + 114. Let a(c) = 80*c**3 + c**2. What is the remainder when a(1) is divided by p(x)?
18
Let j be (14/7)/(1/(-4)). Let d(z) = z**2 + 7*z - 9. Let o be d(j). What is the remainder when o/(-2) - 165/(-22) is divided by 2?
0
Let x be (2 - 12)*(-126)/10. Suppose -3*r - x = -6*r. What is the remainder when r is divided by 10 + -7 - 1*-8?
9
Let b(x) = -x - 4. Let z be b(-6). Suppose -3*j + 0*k + 19 = z*k, 16 = 4*j - 2*k. Calculate the remainder when 9 is divided by j.
4
Suppose 2*w - 47 + 17 = 6*b, 0 = -5*w - b + 75. Let m(d) = 15*d**2 - d. Let a be m(2). What is the remainder when w is divided by (-4)/6 - a/(-6)?
6
Suppose y = 2 - 3. Suppose -4*j - 29 = -3*q, -4*q - 4*j = -30 + 10. Let d = q + y. What is the remainder when 23 is divided by d?
5
Suppose -6 = -3*s + 6. Suppose -t - s*i = -10, -75 = -3*t + 3*i - 0*i. Let y(q) = 9*q**2 - q. Calculate the remainder when t is divided by y(1).
6
Suppose -2*x + 28 = -4*c, 0*x - 26 = 4*c - x. What is the remainder when (-8)/c*(16 + -1) is divided by 12?
8
Let s(x) = 4*x + 5. Let k = 9 + -4. Suppose 29*t = 31*t - 14. What is the remainder when s(k) is divided by t?
4
Let m = 42 + -4. Let p = 34 - 24. Suppose -a = -p - 0. What is the remainder when m is divided by a?
8
Suppose -49*t = 1076 - 7201. Calculate the remainder when 608 is divided by t.
108
Suppose 10*f - 1541 = 2549. What is the remainder when f is divided by 135?
4
Suppose 0 = 4*k - 55 - 85. Calculate the remainder when 173 is divided by k.
33
Suppose 0