4)). Let x = q + c. What is the remainder when x is divided by 5?
4
Let j = -7 - -11. Let l(t) = t**3 + 5*t**2 - 2*t - 4. Let y be l(-5). Suppose -3*p = -j*p + y. Calculate the remainder when 15 is divided by p.
3
Calculate the remainder when (-479)/(-7) + 1 + (-18)/42 is divided by 18.
15
Let g = 5 - 2. Suppose 3*l - g*k = -8 + 23, 3*l = -2*k. Calculate the remainder when 3 is divided by l.
1
Suppose 1 = -o, -z - 5*o + 1 = 2*z. Suppose 4*d - d - 4*y = 35, z*d = -5*y + 8. What is the remainder when 35 is divided by d?
8
Let m = 174 + -100. What is the remainder when m is divided by 15?
14
Let i = -36 + 44. Let d(z) = -29*z - 3. Let a be d(-3). Suppose i - a = -4*r. What is the remainder when 56 is divided by r?
18
Suppose 0 = -0*q - 5*q. Let r = 13 - q. Let p = -43 - -81. What is the remainder when p is divided by r?
12
Suppose 0*y - y = 5*s - 121, 3*s = -3*y + 63. Let r(j) = -j - 6. Let h be r(-5). Let d = h - -14. What is the remainder when s is divided by d?
12
Suppose -2*i - 86 = -z, 5 = 5*i + 10. Calculate the remainder when z is divided by 17.
16
Suppose -14*r + 43 + 167 = 0. Let u = 9 + 18. Calculate the remainder when u is divided by r.
12
Suppose 4*k + y = -2*y + 61, 3*k - 44 = -4*y. Let a(f) = 28*f**3 + 3*f**2 - 3*f + 2. Calculate the remainder when a(1) is divided by k.
14
What is the remainder when ((1 - 1) + (50 - -11))/1 is divided by 9?
7
Let v = -69 + 139. What is the remainder when v is divided by 6*123/42 + 12/28?
16
Let i be 1 - (-1)/((-2)/(-56)). Suppose -2*w = -h - w + 20, 2*h - 24 = -2*w. Calculate the remainder when 1 - -1*i*1 is divided by h.
14
Let w(i) = 2*i**2 + 7 + 2*i**2 + 4*i - i**3 - i**2 - 6*i**2. Calculate the remainder when w(-5) is divided by 8.
5
Let m be -1 + -11*(2 + -3). Suppose 0 = 5*j - m*j + 90. Calculate the remainder when 70 is divided by j.
16
Suppose -2*u + 26 = -5*v, -v + 7 = u - 5*v. Calculate the remainder when u is divided by 5.
3
Suppose 5*f - p + 22 = 0, 3*f + 2*p + 10 - 2 = 0. Let v(j) = -8*j - 6. Let w(t) = -t + 23. Calculate the remainder when v(f) is divided by w(9).
12
Let a = -73 + 94. What is the remainder when a is divided by 7?
0
Suppose -5*o - o + 156 = 0. Let z(i) = 6*i**2 + i. What is the remainder when o is divided by z(1)?
5
Let p = -1 + 2. Let c = 0 - p. Calculate the remainder when (-25)/c + -1 + 1 is divided by 9.
7
Let f = -29 - -144. Suppose -2*n + 3*n + f = 0. Calculate the remainder when 2/6 + n/(-15) is divided by 3.
2
Let g be 2 - (1 + 1*-2). Suppose 0 = -4*c - q - 3, -c + 6*c + q + g = 0. Suppose s + 13 - 42 = c. Calculate the remainder when s is divided by 10.
9
What is the remainder when 124 is divided by 5/((-1 + -2)/(-15))?
24
Suppose 7*m - 16 = 3*m. What is the remainder when (m/(-10))/((-1)/25) is divided by 6?
4
Let y(h) = -h**2 - h + 24. Let o = -538 - -551. What is the remainder when y(0) is divided by o?
11
Let l(r) = -7*r**3 + 2*r**2 + 3*r - 1. Suppose 0 = 4*d - 22 - 38. Calculate the remainder when l(-2) is divided by d.
12
Suppose 0 = -4*b + 130 - 6. Suppose -5*z + 71 + 9 = 0. Calculate the remainder when b is divided by z.
15
Suppose -4*w - 47 = -5*w - 2*f, 3*f - 270 = -5*w. Let k(c) = -c**3 - c**2 + c - 1. Let i be k(-2). Calculate the remainder when 56 is divided by (1/3)/(i/w).
18
Suppose -5*q = -4*g - 387, -q - 3*g - g = -63. What is the remainder when q is divided by 39?
36
Let a = -12 + 34. Let r(c) = -c**2 - 11*c + 13. Let m be r(-11). Let y = m + -7. Calculate the remainder when a is divided by y.
4
Suppose d + 159 = -4*d - 3*p, 2*p = 4*d + 114. Let q = -16 - d. Calculate the remainder when 53 is divided by q.
11
Suppose 0 = -4*u - 3*h + 456, 3*h = u + u - 210. What is the remainder when u is divided by 16?
15
Suppose -r + a - 1 = -5, -2*a + 8 = 2*r. Suppose 0 = 3*b - 11 + 2. Calculate the remainder when r is divided by b.
1
Suppose -4*q + 46 = -3*q + 2*c, -3 = c. What is the remainder when q is divided by 15?
7
Let f(b) = -6*b + 3*b - 7*b. Suppose 0 = 3*j - 2*j - 29. Calculate the remainder when j is divided by f(-1).
9
Suppose -5*x = 3*w - 255, 9*w = 13*w. What is the remainder when x is divided by 14?
9
Suppose -s + 0 + 29 = 0. Suppose -5*l + 0*w - 2*w = -54, 0 = 5*l + w - 52. Calculate the remainder when s is divided by l.
9
Let l be 350/11 + 10/55. Let x = -3 + 13. Let m = l + x. What is the remainder when m is divided by 15?
12
Let m be (-11)/(-2)*(-48)/(-4). Suppose 0*x + 28 = x - 3*i, -3*x + 3*i = -m. What is the remainder when 37 is divided by x?
18
Let t(f) = -f + 6. Let i be t(4). Suppose i*u - 22 = -a, 4*a + 3*u - 41 = 2*a. Calculate the remainder when 31 is divided by a.
15
Suppose -5*o = 5*a - 165, -a = -5*a - 5*o + 136. What is the remainder when 115 is divided by a?
28
Let t(m) = m**2 - 3*m - 1. Let c be t(4). Suppose a - 118 = -4*s, -c*a + 27 = 2*s - 37. Calculate the remainder when 85 is divided by s.
27
Let c = -2 + -1. Calculate the remainder when ((-6)/(-4))/(1/22) is divided by c/9 - 52/(-3).
16
Let l = -86 - -98. Calculate the remainder when 68 is divided by l.
8
Let t(o) = -10*o**3 + 3*o**2 + 1. Calculate the remainder when t(-2) is divided by 32.
29
Suppose -w = 4*t - 51, 2*w + 9 = t + w. Calculate the remainder when t/(-4)*46/(-3) is divided by 12.
10
Suppose 7*h = 72 + 131. What is the remainder when 57 is divided by h?
28
Suppose 4*o - 984 = 4*b, 4*o - 3*b - 989 = -0*b. Suppose o + 115 = 2*l. Let p = l + -127. Calculate the remainder when p is divided by 19.
18
Let j = -9 + 9. Suppose g + 10 - 23 = j. What is the remainder when 38 is divided by g?
12
Suppose -5*l = -14 - 11. Let s = 2 + l. Suppose -3*o + 49 = 13. What is the remainder when o is divided by s?
5
Let t(i) = 6*i**2 - i. Let w be t(2). Suppose -3*o + 0*o - 5*k = -w, -5*o + k = -74. What is the remainder when 27 is divided by o?
13
Let a(y) = 3*y**2 - 2*y + 4. Let k be a(4). Let m = k + 12. Calculate the remainder when m - (0/3)/3 is divided by 19.
18
Let k(g) = 3*g + 4. Calculate the remainder when 72 is divided by k(7).
22
Let x(s) = s + s + 4*s**2 - 2 + s. Let h be x(-5). What is the remainder when 33 is divided by h/9 + (-14)/63?
6
Suppose -2*m - 1 + 53 = -4*l, -5*m - 65 = 5*l. Let n = -7 - l. What is the remainder when 17 is divided by n?
5
What is the remainder when (-58)/(-551) + (-1556)/(-19) is divided by 17?
14
Let v(d) = 3*d - 2. What is the remainder when v(5) is divided by 7?
6
Suppose 2*y + 0 + 2 = 0. Let p be 27/15 - y/5. Suppose v - 16 = -p*z, v = -0*v - z + 13. What is the remainder when v is divided by 4?
2
Let a(n) = 9*n**2 + 1. Suppose -z - 2*z = -3. What is the remainder when 39 is divided by a(z)?
9
Let f = 190 + -163. What is the remainder when 100 is divided by f?
19
Suppose z - 92 = -z. Suppose 0 = 3*f + 15, -3*o - f - 3*f + z = 0. Calculate the remainder when o is divided by 8.
6
Let w = -13 + 21. What is the remainder when 12 is divided by w?
4
Let j = 12 + -4. Calculate the remainder when 23 is divided by j.
7
Let z = 78 + 11. What is the remainder when z is divided by 30?
29
Let c(r) = 3 - 3*r**2 - 5*r + 2*r**2 + 0. What is the remainder when c(-4) is divided by -5*(1 + 24/(-15))?
1
Suppose 3*t = -3*t + 78. What is the remainder when t is divided by 4?
1
Suppose 0 = -4*g + 5 + 3. Suppose -191 = -5*w + 3*a, 4*a + 145 = 4*w - a. Suppose g*s = -2*s + w. Calculate the remainder when 29 is divided by s.
9
Let c = -2 - -21. Suppose 64 = 5*m + c. What is the remainder when m is divided by 6?
3
Let l be 10/(-5) + 120/2. Let w = -41 + l. Let y = -15 - -24. Calculate the remainder when w is divided by y.
8
Let n(j) = j**2. Let g = -8 - -6. Suppose 0*q = q - 10. Calculate the remainder when q is divided by n(g).
2
What is the remainder when 36 is divided by 120/21*28/8?
16
Let d(t) = -t + 11. Calculate the remainder when 16 is divided by d(5).
4
Suppose 2*a + 328 = 6*a. Calculate the remainder when a is divided by 17.
14
Suppose 30*m - 14 = 29*m. Calculate the remainder when 51 is divided by m.
9
Suppose -4*z + 12 = 0, -5*z - 21 = -5*c - 2*z. Suppose -3*t - 5 = -2*q + 4, 4*q - 4*t - 24 = 0. Calculate the remainder when q is divided by c.
3
Suppose 4*p - 252 = z, 0 = 4*p - 5*p + z + 60. Let l(k) = -7*k + 1. Calculate the remainder when p is divided by l(-3).
20
Suppose -4*u + 58 = 3*w, -u - 5 = -4*w + 66. Let y = 4 - -6. Let c = y - 0. C