t + 2*c = 32, -5*t + 44 = 2*c + 5. Suppose t*m - 145 = -47. Calculate the remainder when 83 is divided by m.
13
Suppose 0 = -42*o + 12203 + 23875. What is the remainder when o is divided by 86?
85
Suppose 14*k - 473 = 59. Suppose 5*i - 69 = 36. What is the remainder when k is divided by i?
17
Suppose 167 = 3*s - 2*j, 0 = -2*s + 4*j + j + 93. Suppose -146*k + 137*k + 279 = 0. What is the remainder when s is divided by k?
28
Suppose -4*p - 19 = 5*t + 8, -5*p = -3*t + 6. Let c be 5/(2 + t - -2). Suppose -c*m = -369 + 59. What is the remainder when m is divided by 16?
14
Suppose -5*v + 9 = -6, f = v + 293. Calculate the remainder when f is divided by 33.
32
Suppose -4 - 15 = -q. Suppose 25*r - 24*r + 2*m + 2 = 0, 0 = -4*r + 4*m + 40. What is the remainder when q is divided by r?
1
Let g = 3 + 2. Suppose -173 = -4*j - 3*o, 0 = 4*j - 5*o - 73 - 108. Suppose 96 + j = g*k. What is the remainder when k is divided by 10?
8
Let s = -30 + 44. Let f be (9/4)/(-9) + (-75)/(-12). Suppose f*t = s + 40. What is the remainder when 16 is divided by t?
7
Let d = -6 - -3. Let r = 48 + -39. What is the remainder when 46/3 - 2/d is divided by r?
7
Let g = 3 + -2. Suppose -a = 84 - 86. Suppose a*d = 3*d - 1. What is the remainder when d is divided by g?
0
Suppose -8*f + 5*f = -6. Let d = -19 - -29. Suppose 0 = -4*k + 18 + d. What is the remainder when k is divided by f?
1
Let a be (-2 + 2)/(-4 - -2). Suppose -5*f - 4*c + 511 = 0, a = -0*f + 2*f - 3*c - 186. Let w = f - 37. What is the remainder when w is divided by 13?
10
Suppose -3*c - 90 = 2*x - 3*x, 0 = 3*x + 4*c - 231. Calculate the remainder when x is divided by 12.
9
Calculate the remainder when (-189)/(44/8 - 7) is divided by 59.
8
Suppose 474 - 1720 = -14*h. What is the remainder when h is divided by 15?
14
Let n(l) = l**2 - 2*l - 3. Let q(d) = 2*d**2 - 4*d - 6. Let y(k) = -5*n(k) + 3*q(k). What is the remainder when (-30)/(-7)*(13 + 1) is divided by y(-4)?
18
Let x(h) = -2*h - 20. Let v be x(0). Let z be -2*(-4)/((-32)/v). Suppose z*m - 50 = -5*p, p = 3*m - 2*p - 60. What is the remainder when 29 is divided by m?
14
What is the remainder when 6804/54 + (6 - 0) is divided by 44?
0
Let h(i) = -i**2 - 16*i - 5. Let m be h(-9). Suppose -468 = -5*a - m. What is the remainder when a is divided by 22?
16
Calculate the remainder when -2*3/8*-12 is divided by 9.
0
Let z(s) = 13*s**2 + 29*s - 98. What is the remainder when z(7) is divided by 244?
10
Suppose 4*s + 0*s + 2 = -2*d, 0 = 3*d + 5*s + 4. What is the remainder when 23 is divided by 450/70 + d/7?
5
Let y = -1 - -6. Let x = y - 1. Let b(d) = -d**3 + 5*d**2 - 4*d + 3. Calculate the remainder when b(x) is divided by 1.
0
Let b(f) = f**3 - 5*f**2 + 4*f - 2. Let t be b(5). Suppose t*z - 13*z - 90 = 0. Calculate the remainder when 69 is divided by z.
15
Let a(l) = 7*l - 3. Calculate the remainder when 206 is divided by a(2).
8
Let y = -753 - -1011. Calculate the remainder when y is divided by 13.
11
Suppose -4*q + 327 = 3*h, -58*q = -59*q + 2*h + 68. What is the remainder when 142 is divided by q?
64
Suppose -3*k - 180 = -4*a, -2*a + a + 3*k + 54 = 0. Let v = a - 39. Calculate the remainder when 18 is divided by v.
0
Suppose p - 97 - 39 = 0. Let i = p + -130. What is the remainder when 11 is divided by i?
5
Suppose 0 = x - 3*o + 7 + 1, x - 2*o = -4. Suppose m + 4*m = x*r - 169, -2*m = -5*r + 207. What is the remainder when r is divided by 23?
18
Let q = 12 - -21. Suppose -d = -a + 66, 0*d + d - 254 = -4*a. What is the remainder when a is divided by q?
31
Suppose 0 = 12*r - 35 - 85. Suppose 0 = -3*i + 5*i - 56. Calculate the remainder when i is divided by r.
8
Suppose -t + 38 = 2*c - 3*c, 4*c - 28 = -t. Suppose 0 = -m + 4*m - t. What is the remainder when 5 is divided by (m/(-10))/(24/(-80))?
1
Let d = 9 - 7. Suppose 0 = 4*o + o + 2*x - 107, -2*o = -x - 50. Calculate the remainder when d/(-8) - (-357)/4 is divided by o.
20
Suppose 0 = 6*t - 370 + 334. Let h be (-5)/(-1) + -1 + -2. Suppose 5*o - 104 = -2*j, 0 = h*j - 4*j - 6. Calculate the remainder when o is divided by t.
4
Suppose -2*s = -5*b + 360, -5*b + s + 2*s = -355. Let m = 83 - b. Calculate the remainder when 223 is divided by m.
7
Suppose 2*d - 42 = -3*i + 4*i, d - 21 = 2*i. Let m(j) = 4*j + 10. Calculate the remainder when m(7) is divided by d.
17
Let k(h) = 10 - 4*h - 2*h + 5*h. Let y be k(5). Suppose -y*g = 3*z - 6*z - 74, -z = -2. What is the remainder when 47 is divided by g?
15
Let b be (3/(3/(-4)))/2. Calculate the remainder when 7 is divided by (b/(-6))/((-3)/(-27)).
1
Let q = 90 + -80. What is the remainder when q is divided by 1 + -1 + -1 - -5?
2
Suppose 128 = -w + 9*w. Let j = 65 - w. What is the remainder when j is divided by 13?
10
Let r be -15 + 10 - 4*-2. Let d(q) = -q**2 + 14*q - 20. What is the remainder when d(r) is divided by 10?
3
Let f(l) = -14*l + l**2 + 23 + 42*l - 2*l. What is the remainder when f(-26) is divided by 5?
3
Let r(k) = 2*k**3 - 3*k**2 - 2*k - 1. Suppose -3*z - 2*u = -58 - 18, 0 = -4*z - u + 98. Calculate the remainder when r(4) is divided by z.
23
Suppose -5*j + 480 = -5*m, 6*m + 383 = 4*j + m. Calculate the remainder when j is divided by 34.
29
Let m(d) = -141*d - 42. What is the remainder when m(-3) is divided by 24?
21
Let v = 87 - 44. Suppose 5*x - 13*x + 72 = 0. What is the remainder when v is divided by x?
7
Let n = 1185 - 1151. Calculate the remainder when 165 is divided by n.
29
Suppose 6*q + 5*f - 18 = 3*q, 0 = -2*q + 4*f + 34. Let m(i) = 14*i + 6 + 10*i**2 + i**3 - 19 - 2*i**3. Calculate the remainder when m(11) is divided by q.
9
Let u = -72 + 205. Let b = 996 - 981. Calculate the remainder when u is divided by b.
13
Let c(b) = b**2 - 12*b - 8. Let j be c(13). Suppose 0 = 3*o - j*o. Suppose -9 = -3*l - o*l. What is the remainder when 10 is divided by l?
1
Let m(p) = 25*p**2 - 3*p. What is the remainder when 164 is divided by m(-1)?
24
Let h = -760 - -768. Suppose 1 = -x + 23. Calculate the remainder when x is divided by h.
6
Let d = -29 - -46. Let b = -1949 + 1999. What is the remainder when b is divided by d?
16
Suppose -722 = -2*n - 81*g + 83*g, -n - g + 365 = 0. What is the remainder when n is divided by 46?
41
Let l = -188 + 243. Suppose 0 = 5*f - 5 - 10, 4*u = f + 53. What is the remainder when l is divided by u?
13
Let t = -17 + 20. Suppose 2*h + 5*c - 2*c = 72, 2*h - t*c - 60 = 0. Calculate the remainder when 97 is divided by h.
31
What is the remainder when (-90)/18 + 27 + 0 is divided by 15?
7
Let h be 2/10 - (-2202)/(-10). What is the remainder when 19 is divided by (-6)/5*h/33?
3
Let p be 10 + -13 + (-84 - 1). Let b = p - -139. What is the remainder when b is divided by 4?
3
Suppose -86 - 274 = -4*k. Suppose 4*a + 437 = o, 131 = -2*a + o - k. Calculate the remainder when (a/21)/(9/(-42)) is divided by 9.
6
Let y = 1783 - 1748. What is the remainder when 489 is divided by y?
34
Suppose 5*u = -4*z + 13, -7*u + 3*u = 3*z - 10. Let r(h) = 8*h**2 - 1. Let b be r(u). Suppose b - 32 = -p. What is the remainder when p is divided by 14?
11
What is the remainder when 211 is divided by (98/3 + -4)/((-14)/(-21))?
39
Suppose -99*o = -88*o - 3883. What is the remainder when o is divided by 71?
69
Let t(v) = 2*v**3 - 9*v**2 - 7*v + 10. What is the remainder when t(8) is divided by 102?
96
Let c be ((-48)/15)/((-2)/5). Let r be (-18)/27 - c/(-3). Suppose 4*k = -r*y + 306 - 64, -2*y - 2*k = -238. Calculate the remainder when y is divided by 30.
27
Calculate the remainder when 124*(-1 - 55/(-10) - 4) is divided by 21.
20
Let q(w) be the first derivative of w**4/4 - 5*w**3 + 8*w**2 - 15*w - 16. What is the remainder when 38 is divided by q(14)?
12
Calculate the remainder when ((-53)/(-106))/((-1)/(-150)) is divided by 6.
3
Let l = -1447 - -1460. What is the remainder when 21 + -2 + -1*2 is divided by l?
4
Let t(b) = 141*b**3 + 3*b**2 - 4*b + 1. What is the remainder when t(1) is divided by 39?
24
Suppose 9*r - 28*r + 1995 = 0. Calculate the remainder when 837 is divided by r.
102
Let s = 6 - 16. Let p(d) = -d**3 - 10*d**2 - 2*d + 13. Let x be p(s). Let y = x + -23. Calculate the remainder when 19 is divided by y.
9
Let r = 64 - 36. Suppose 0 = -4*l - 3*c + c + r, 2*c = 4. Let u(w) = 2*w. Calculate the remainder when 34 is divided by u(l).
10
Let p(x) = -2*x**3 + 1