alculate the remainder when 16 is divided by t(-3).
1
Suppose -2*r - 3*r = 3*g, -3*g = -4*r. Suppose g = -7*t - 113 + 295. What is the remainder when t is divided by 21?
5
Suppose 4*y + 3*z - 95 = 0, 5*y - 2*z - 80 = 2*z. Calculate the remainder when 57 is divided by y.
17
Let x be (-4)/(-18)*3 + 110/6. Suppose -26 = 17*c - x*c. What is the remainder when 75 is divided by c?
10
Suppose 15 = -5*l, -3*l - 42 = -4*p - 5*l. What is the remainder when 71 is divided by p?
11
Let m = -930 - -954. What is the remainder when 107 is divided by m?
11
Suppose 2*p + 66*a - 163 = 69*a, -440 = -5*p + a. Calculate the remainder when p is divided by 43.
3
Suppose 21 = j - 6. Let t(a) be the first derivative of a**3/3 + 11*a**2/2 - 5*a + 11. Calculate the remainder when j is divided by t(-12).
6
Suppose 0 - 2 = i. Calculate the remainder when 34 is divided by -2 + i + (-85)/(-5).
8
Suppose -95*y = -91*y + 3*t - 298, y + 3*t = 70. Let s = 6 + 1. What is the remainder when y is divided by s?
6
Let z be (36/(-30))/(2/(-10)). Let i = -15 + 23. Calculate the remainder when i is divided by 1*(-2)/((-4)/z).
2
Let x = 372 + -359. Let l(o) = o**3 - 4*o**2 + 6*o + 7. Calculate the remainder when l(5) is divided by x.
10
Let g(l) = 0*l**2 - 23 + 4*l**2 - 48*l - 6*l**2 - 6. What is the remainder when 55 is divided by g(-23)?
4
Let t(v) = -2*v + 23. Let j be t(3). Suppose 4*m - 43 = -3*q + 6, 0 = q + m - j. What is the remainder when 56 is divided by q?
18
Suppose x + 8 = 2*x + 5*h, 2*h + 4 = -4*x. Calculate the remainder when (-264)/x*(-19)/(-57) is divided by 9.
8
Let g = -16 + 18. Let r be (g/((-4)/6))/(-1). Suppose -v = -r - 9. Calculate the remainder when 20 is divided by v.
8
Let l = 45 - 40. Suppose 0 = -l*v + 38 + 52. What is the remainder when (-1)/(-2) + 260/8 is divided by v?
15
Let z = -69 - -186. What is the remainder when z is divided by 176/6 + 50/75?
27
Let q = -190 + 277. What is the remainder when 28 is divided by (58/q)/((-4)/(-90))?
13
Suppose s + 4*h = 5, h + 111 = 5*s + 23. Calculate the remainder when 35 is divided by s.
1
Let d(v) be the first derivative of v**4/4 + 5*v**3 - v**2/2 + 19*v - 6. Let z be d(-15). What is the remainder when 47 is divided by (z/3)/(18/27)?
13
Let g(t) = 5*t**2 + 45*t + 7. Calculate the remainder when g(-11) is divided by 59.
58
Suppose -y = -5*q - 25, -3*y - q - q + 58 = 0. Calculate the remainder when 537 is divided by y.
17
Suppose 0 = -0*r + 3*r - 72. Suppose 4*q - 28 = 3*v, 2*q + 0*q - r = -v. Let f = 3 + q. Calculate the remainder when 36 is divided by f.
10
Suppose 0 = -4*z - 5*s + 53, -4*z + 56 = z - 4*s. Suppose -14*j + 336 = -z*j. What is the remainder when j is divided by 17?
15
Let d = 122 - 116. Let f(c) = c**3 - 4*c**2 - 11*c + 16. Let p = -19 - -32. Calculate the remainder when f(d) is divided by p.
9
Suppose -5*r + 4*y + 95 = -y, 0 = -4*r - y + 76. Suppose 0*p = -l - 2*p - 1, -3*p = 5*l - 9. Calculate the remainder when ((-21)/(-4))/(l/32) is divided by r.
18
Suppose 10*w = -183 + 593. What is the remainder when 233 is divided by w?
28
Suppose 189 = 8*k - 3. What is the remainder when 25 is divided by k?
1
Let i be (4/(-16) - (-178)/8) + -4. Suppose w + 0 = i. What is the remainder when w is divided by 11?
7
Let l(q) = q**2 - 64*q + 602. Suppose 0 = w + 3*w - 192. Suppose 0*a = 3*a - w. Calculate the remainder when l(10) is divided by a.
14
Suppose -148 = -4*p + 2*m, 46 + 36 = 2*p + 3*m. What is the remainder when p is divided by 13?
12
Suppose 61*w - 75*w + 658 = 0. What is the remainder when w is divided by 29?
18
Suppose -357 = 5*u + 3*q, u + 3*u - 5*q + 293 = 0. Let t = u - -207. What is the remainder when t is divided by 34?
33
Let k = 167 + -135. Calculate the remainder when 79 is divided by k.
15
Suppose 5*w - 3*t - 916 = 0, -2*w + 2*t + 226 = -138. Let x = -3 + 3. Suppose -m - 4*m + w = x. What is the remainder when m is divided by 10?
7
Let f be 3*-1 + (11 - 2). Let s(o) = 2*o**2 - 3*o + 15. What is the remainder when s(f) is divided by (-14 - -2)*3/(-2)?
15
Suppose -7*d + 10 = -4. Suppose d*q = -2*q, j = -5*q + 15. Let r = -34 - -58. Calculate the remainder when r is divided by j.
9
Suppose c = 4*z + 31 + 36, -5*z = 2*c - 82. Calculate the remainder when c is divided by 26.
25
Let g = 94 - 33. Let v = 134 - 131. Let s = v - -13. Calculate the remainder when g is divided by s.
13
Let n(w) = 16*w**2 - 2*w - 2. Suppose 3*c + 132 = 5*a, -3*a + 100 = 2*a + 5*c. Calculate the remainder when n(2) is divided by a/(-36) - 184/(-6).
28
Suppose 0 = -5*p + 67 + 38. Let s = -801 - -1009. What is the remainder when s is divided by p?
19
Suppose -4*m = -4*x, x = -2*m + 2 + 7. Suppose x*v - 5 = 2*v. Calculate the remainder when 44 is divided by v.
4
Let l be (36/(-10))/(4/(-10)). Let g = l - 7. What is the remainder when 50 is divided by 1/g + 66/4?
16
Let m = -91 + 45. Let a = -22 - m. Let b = 63 - a. Calculate the remainder when b is divided by 14.
11
Let p = -3 + 7. Suppose 2*j = p*l - 22, -4*l - 1 = -4*j - 21. What is the remainder when 9 is divided by l?
3
Suppose 280 = -58*a + 59*a. Suppose -2*k = 3*k - a. What is the remainder when k is divided by 30?
26
Suppose 8*u + 3*u - 154 = 0. What is the remainder when 74 is divided by u?
4
Suppose 2*x - 56 = -0*x. Suppose -c + 5 = -x. What is the remainder when c is divided by 7?
5
Suppose 203 = 5*p - 4*t, -3*p + 51 = -2*t - 70. Let z = p - 27. Calculate the remainder when 39 is divided by z.
3
Suppose 3*n = -4*w + 13, -4*n + 5*w + 34 = 2*w. Let a be ((-14)/8)/((-1)/(-8)). What is the remainder when (-276)/a + (-4)/(-14) is divided by n?
6
Let v = -61 + 65. Suppose -v*y + 69 = 3*g, -8*y = 3*g - 3*y - 69. What is the remainder when 137 is divided by g?
22
Calculate the remainder when 165 is divided by 213/3 - 12 - (1 + 2).
53
Let a(g) = -g**3 + 23*g + 40. Calculate the remainder when 335 is divided by a(-4).
11
Let z = -307 - -353. What is the remainder when 275 is divided by z?
45
Let o(r) = 10*r + 29. Let a be o(8). Suppose 29 - a = -4*l. Suppose -j - f = -0*j - 37, -5*f = -3*j + 119. What is the remainder when j is divided by l?
18
What is the remainder when ((-472)/2)/(11/(11 + -22)) is divided by 80?
76
Let g = 4 - -4. Let a(l) = -l**3 - 3*l**2 - 26*l - 73. Calculate the remainder when g is divided by a(-3).
3
Suppose 25 = 5*r, -4*r + 24 = -3*o + 85. What is the remainder when 118 is divided by o?
10
Suppose 75*o - 8256 = 43*o. Calculate the remainder when o is divided by 10.
8
Calculate the remainder when -66*(-5)/(-10)*-1 is divided by 12.
9
Let q(l) = l**2 - 3*l. Let f be q(4). Suppose 0 = -5*d + 10*d - 15. Suppose -d*z - 9 = -f*z. What is the remainder when 26 is divided by z?
8
Suppose -5*i = -2*k + 24, -2*i - 6 = -2*k + 6. Let t be 10/(((-360)/(-51) - 4) + -3). Suppose 3*f = -k*f + t. Calculate the remainder when f is divided by 9.
7
Suppose -2*x - 3*j = -6, 3*x - 16 - 23 = 3*j. Calculate the remainder when 49 is divided by x.
4
Suppose 0 = -0*u + 2*u - y - 39, 0 = 4*y - 20. What is the remainder when 101 is divided by u?
13
Suppose 5*l - 4*v - 7 = 0, 2*l + 2*l + 2*v - 16 = 0. Suppose l*k = 0, 3*k = z + 3*z - 64. Calculate the remainder when 6 is divided by (-2)/(-6) - z/(-6).
0
What is the remainder when 109 is divided by 36/6 + (4 - 6)?
1
Suppose -5*p = -2*d - 59, 4*p - d = -p + 57. What is the remainder when 1032 is divided by p?
9
Suppose 3*k - 141 = 2*x - 6*x, 0 = -5*x + 5*k + 220. Let m = 622 + -602. What is the remainder when x is divided by m?
19
Suppose 3 = -3*p + 4*p. What is the remainder when (-500)/(-15) - 1/p is divided by 18?
15
Let c(a) = 4*a**2 - 3*a - 4. Calculate the remainder when 10/(-45) - (-1167)/27 is divided by c(3).
20
Let v(f) = -f**3 + 11*f**2 - 5*f - 12. Calculate the remainder when v(8) is divided by 50.
40
Calculate the remainder when (-262)/(-1965) + (-2996)/(-30) is divided by 63.
37
Suppose -5*q = z - 112 + 41, 2*q = -z + 68. What is the remainder when z is divided by 16?
2
Let a(d) = -d**3 - d**2 + 91. Suppose 2*p - 28 = -2*m, 3*m = 5*m - 4*p - 58. What is the remainder when a(0) is divided by m?
15
Suppose 43 = 5*f - 37. Suppose -3 = 3*d - 129. Calculate the remainder when d is divided by f.
10
Let h = 7619 + -7606. What is the remainder when 1/3 - (-191)/3 is divided by h?
12
Suppose a - 231 = -5*s, 5*s - 4*a + 10