v(n) = n**3 + 23*n**2 + 33*n + 253. Suppose -80 = -5*s + r, -2*s + r + 30 + 2 = 0. What is the remainder when s is divided by v(-22)?
5
Suppose -482 = 44*r - 46*r. What is the remainder when r is divided by 61?
58
Suppose -7*s + 13*s - 108 = 0. Calculate the remainder when 124 is divided by (15/s)/(-5) - 755/(-30).
24
Suppose -3*t = -60 - 93. Let x = 16 + 85. What is the remainder when x is divided by t?
50
Let h(f) = 49*f**2 - 6*f + 7. Calculate the remainder when h(1) is divided by 23.
4
Let c(l) = -4*l**2 - 24*l + 11. Suppose -2*d - 3*j = -23 - 44, 15 = -3*j. What is the remainder when d is divided by c(-6)?
8
Calculate the remainder when 126 is divided by ((-1035)/(-6))/(-5)*48/(-36).
34
Suppose -2*t + 162 = t. Let k = 114 - t. Let c = k - -12. Calculate the remainder when c is divided by 19.
15
What is the remainder when 353 is divided by (-567)/(-24) - 9/(-24)?
17
Let w = -568 - -587. Calculate the remainder when 2/(4 + -2) + 70 is divided by w.
14
Let n(t) = 17*t + 60. Let y be n(-12). Let m = 262 + y. What is the remainder when m is divided by 20?
18
Calculate the remainder when 418 is divided by 5/(5/7) - -7.
12
Let h(k) = 5*k - 5. Let b be h(2). Suppose 0 = b*x - 7*x + 24. Calculate the remainder when 21 is divided by x.
9
Calculate the remainder when 31*(7 - (1 - -5)) is divided by 11.
9
Let v = -115 - -131. Calculate the remainder when 21 is divided by v.
5
Suppose 0 = -4*f + 6*f - 6. Suppose -f*a + 76 = a. Calculate the remainder when ((-70)/8)/(1/(-4)) is divided by a.
16
Suppose 0 = -175*b + 168*b + 630. What is the remainder when b is divided by 13?
12
Let l(m) = -2*m - 3. Let d be l(-3). Suppose -2*i + 7 = -d*p - 75, -4*p = -4*i + 164. Calculate the remainder when i is divided by (-90)/(-4) - 12/8.
20
Suppose -z + 5*z = 36. Suppose -22*t + 403 - 117 = 0. Calculate the remainder when t is divided by z.
4
Let h = 431 - -138. What is the remainder when h is divided by 22?
19
Let l = -25 + 46. Suppose -4*c - 307 = -21*c - 86. Calculate the remainder when l is divided by c.
8
Let j be (1 - (-2 + 3)) + 5. Suppose -4*i + 38 = j*q, -i - 43 = -4*q - 0*i. Let x(b) = -3*b**2 + 30*b + 71. What is the remainder when x(11) is divided by q?
8
Let f(x) = 177*x**2 + 1. What is the remainder when f(1) is divided by 62?
54
Suppose 5*t - 4*l = 68, 3*l = t + 7 - 14. Calculate the remainder when 99 is divided by t.
3
Suppose -33982 = -21*g - 2629. Calculate the remainder when g is divided by 11.
8
Let l = 9403 + -9383. Suppose -f + 44 + 14 = 0. Calculate the remainder when f is divided by l.
18
Suppose 4*l - 152 = -4*x, 4*x - 5*l - 107 = -0*x. Suppose -x = 5*c - 228. What is the remainder when 193 is divided by c?
37
Let r = -1326 - -1351. What is the remainder when r is divided by 16?
9
Suppose -4*x - 2*o = -6*o - 10848, 0 = -5*x + 4*o + 13560. What is the remainder when x is divided by 23?
21
Let r = -20 + 20. What is the remainder when 17 is divided by (3 - r)/(3/9)?
8
Let m be 3/6*(12 - -2). Let f = m + -13. Calculate the remainder when f*(3 + (-10)/3) is divided by 2.
0
Let w(g) = 6*g - 7. Let o be w(2). Suppose -o*t + 114 + 106 = 0. Calculate the remainder when 86 is divided by t.
42
Let m = 642 - 140. Calculate the remainder when m is divided by 128.
118
Let v be (-6)/4*(224/6 + 0). Let l = v - -115. Let c(f) = 11*f**2 - f. Calculate the remainder when l is divided by c(1).
9
What is the remainder when 4017848/1860 + (-4)/30 is divided by 46?
44
What is the remainder when (-542)/(-6) + 92/(-69) is divided by 54?
35
Let g = -28 - -68. Let n = 59 - g. Suppose 0 = 4*a + n - 51. What is the remainder when 12 is divided by a?
4
Let a = -50 - -26. Let r = 27 + a. Suppose 0*d + 66 = r*d. What is the remainder when d is divided by 12?
10
Let r(z) = -28*z + 4. Let h be r(-8). What is the remainder when (-5)/((-10)/h)*6/9 is divided by 26?
24
Suppose 0*j = -5*b + 2*j - 50, 4*b + 68 = -4*j. Let f = 3 - b. Suppose -u + 3*u - 8 = 0. What is the remainder when f is divided by u?
3
Suppose -13*c + 51 = -11*c - 5*h, 2*h - 113 = -5*c. Suppose -g = 4*d + g - 6, -2*d + 9 = -g. What is the remainder when c is divided by d?
2
Suppose 6*a - 61 = 65. Calculate the remainder when 161 is divided by a.
14
Suppose f + f = -3*w - 175, 2*f = -w - 61. Let v = w + 210. What is the remainder when v is divided by 26?
23
Calculate the remainder when 318 is divided by 16/10*150/(2 - -4).
38
Let u be -3*3/(-9) - 21. Suppose 0 = 5*o + 70 + 85. Let v = u - o. Calculate the remainder when 21 is divided by v.
10
Suppose -269 = -5*r + l, -6*r + 5*l - 33 = -7*r. Suppose 5*a = -5*o + 20, -a - 6 + 2 = 0. Calculate the remainder when r is divided by o.
5
Let v = -68 + 72. Let i = -12 - 0. What is the remainder when 7/(-28) - 159/i is divided by v?
1
Suppose 3*o - z - 1 = 0, o - 2*z = 3*o - 14. Let q = -30 + 33. Suppose q*g + 2 = 2*i, 0 = -2*g - i - 2*i + 16. What is the remainder when g is divided by o?
0
Let l be ((-2)/5)/(4/80). Let p be (-5)/(-20) - 14/l. Suppose p*v - n = 28, 2*v - 4*n - n - 28 = 0. Calculate the remainder when 25 is divided by v.
11
Let f(r) = r**2 + 11*r - 53. Calculate the remainder when f(-15) is divided by 3.
1
Suppose 132*b - 135*b = 327. Let x = b - -212. What is the remainder when x is divided by 15?
13
Let x be 135/(-30)*(-6)/9. Suppose -3*c - 4*t = -8*c + 77, 40 = 2*c + x*t. Calculate the remainder when 50 is divided by c.
16
Let n(d) = 2*d**2 - 39*d + 223. Calculate the remainder when n(17) is divided by ((-1)/1 - -1) + 35.
33
Let f(s) = s**2 - 4*s - 40. Let n be f(9). What is the remainder when ((-273)/(-3) - n) + (-1)/1 is divided by 18?
13
Let f = -1962 - -1984. Calculate the remainder when ((-2)/(-5))/(1/215) is divided by f.
20
Suppose 41*q = -5*x + 43*q + 1293, 3*q - 759 = -3*x. What is the remainder when x is divided by 20?
17
Let y(f) = -8*f**3 - 2*f**2 + 4. What is the remainder when 238 is divided by y(-2)?
58
Calculate the remainder when 34 is divided by (-28)/4*((-246)/42 + 3).
14
Suppose 5*f - 1910 = -2*q, -f + 3*q + 399 = -0*q. What is the remainder when f is divided by 95?
4
Let l(b) = b**2 + 22*b + 33. Let t be (-6 - 12) + -1 + -2. Calculate the remainder when 91 is divided by l(t).
7
Suppose -5*l = 2*o - 26 - 77, -5*o = 6*l - 277. Suppose 0 = -3*p + 3*m + 15, -5*m - 7 = 4*p - 0*m. Let j = 18 + p. What is the remainder when o is divided by j?
19
What is the remainder when (148/8)/((-2)/(-4)) is divided by 2125/(-255)*6/(-5)?
7
Suppose -4*n = 5*v - 852, -n + 5*n - 12 = 0. What is the remainder when v is divided by 57?
54
Suppose -8*l + 108 = -6*l. Suppose -2*w - 3*w + 35 = 0. Suppose -w = -2*r + 21. What is the remainder when l is divided by r?
12
Let b be (2*2/2)/((-2)/(-4)). Suppose 0 = -b*z - 4*z + 40. What is the remainder when 12 is divided by z?
2
Suppose 0 = -2*r + 4 - 10. Let z(p) = 2*p - 8. Let o be z(6). Calculate the remainder when o/3 + (-23)/r is divided by 5.
4
Suppose 0 = -4*m + 110 - 42. Let x(p) = p**3 - 16*p**2 + 16*p + 33. Calculate the remainder when x(15) is divided by m.
14
Suppose -r - 3*r + 2*y + 122 = 0, 28 = r - y. Let f(t) = -7*t - 2. Calculate the remainder when r is divided by f(-3).
14
Let q(v) = -v**3 - 7*v**2 + 22*v + 2. What is the remainder when q(-10) is divided by 22?
16
Let w(f) = 2*f - 13. Let y be w(7). What is the remainder when (y - (-9)/(-12))*556 is divided by 35?
34
Let v be (8/6)/(2/48). Suppose v + 200 = 8*x. What is the remainder when x is divided by 8?
5
Calculate the remainder when 593 is divided by -11*17/(51/(-6)).
21
Suppose 3*l = -4*w + 155, 49*w - 46*w - 85 = 4*l. Let o = 100 + 1. Calculate the remainder when o is divided by w.
31
Let q(z) = z + 12. Let a be q(-7). Suppose -3*s + a*s = 60. What is the remainder when s is divided by 8?
6
Suppose -4*k + k = 3*s + 18, 0 = -s - 3*k - 10. What is the remainder when 34 is divided by 3/6*s + 14?
10
Suppose -9*s - 257 = -2156. Calculate the remainder when s is divided by 45.
31
Let y be 33 + (-7)/(21/(-4))*-3. What is the remainder when y + (14 - 16)/(-1 + 2) is divided by 10?
7
Let b = -1352 - -1395. Let i = 22 + -11. What is the remainder when b is divided by i?
10
Calculate the remainder when 77 is divided by -145*(-3)/15 + -7.
11
Suppose 1208 = -5*s + 3513. Suppose 5*o = 2*g - 112 - 170, 3*g - s = -2*o. What is the remainder when g is 