5
What is the remainder when 111 is divided by 12/(-36) - 22*4/(-12)?
6
Suppose y = 1, 3*r - 50 = 4*y + 12. Calculate the remainder when 591 is divided by r.
19
Let l = 33 - 12. Let d(v) = -v**3 - 8*v**2 - 17*v - 30. Calculate the remainder when d(-7) is divided by l.
19
Let u be 0/(-3) - (-1 + -2). Suppose 0 = 5*i + u*v - 21, 0*i + 2*i - 16 = -5*v. What is the remainder when -1 - (-112)/(i - -1) is divided by 7?
6
Let j(q) = -q + 4. Let s be j(0). Suppose -14 = -s*n - 6. Suppose n*u + 277 = 3*z, -z - 5*u + 68 + 47 = 0. What is the remainder when z is divided by 24?
23
Let g = -1 - -4. Suppose -x - 1 = 0, 6*f - 4*f + g*x = 177. Suppose 4*j - f - 190 = 4*m, -6 = 2*m. What is the remainder when j is divided by 17?
16
Let r(o) = o**3 - 15*o**2 + 17*o. Let x be r(14). Let s = x - 36. What is the remainder when 17 is divided by s?
5
Let r = -101 - -124. Suppose 92 = -3*b + 4*b. Let w = 160 - b. Calculate the remainder when w is divided by r.
22
Suppose -2*r + 12 = -4*x, 0*x + 5*x - 3 = -2*r. Suppose -3*p = 4*c - 19 - 15, -r*c = -3*p + 74. Calculate the remainder when 33 is divided by p.
15
Let i be (-1 + -7)*2/(-4). Let d be (-6)/i - 31/(-2). Let y = 59 - d. What is the remainder when y is divided by 16?
13
Let y = 3 + -1. Suppose -12 = a + 2*a. What is the remainder when y is divided by (-6)/a + (-1)/(-2)?
0
Suppose 4*u = -13 + 25. Let i be (-25)/(-2) + u/(-2). Let j(q) = q**3 - 11*q**2 + 4*q - 8. Calculate the remainder when j(i) is divided by 19.
17
Calculate the remainder when 211 is divided by -1*6*34/(-6).
7
Let o = 5 + -3. Suppose 0 = -t - 4*v + 143, -o*v - 4 + 2 = 0. Calculate the remainder when t is divided by 38.
33
Suppose -2*c = 5*o + 412, -5*c - 169 = -0*o + 2*o. Let z = o - -141. Let p = z - 14. What is the remainder when p is divided by 23?
22
Suppose 69*n - 63*n + 312 = 0. Let p = n + 93. Calculate the remainder when 120 is divided by p.
38
Let o(h) = -13 + 11 + 2*h - 7*h**3 - 4*h - 2*h - 5*h**2. Calculate the remainder when o(-2) is divided by 15.
12
Let w(x) = -22*x**3 + 2*x**2 - 1. Suppose 0 = 4*v - 2*y - 182, -2*v - 3*y = -6*v + 183. Calculate the remainder when v is divided by w(-1).
22
Let y(t) = t**3 - 24*t**2 - 23*t + 36. Let l be y(25). What is the remainder when (-4 - -4)/3 + 1 + l is divided by 15?
12
Let c = -4 + 1. Let d(y) = 2*y**2 - y - 3. Suppose b - 73 = 3*w, -2*b + 0*w = -4*w - 144. What is the remainder when b is divided by d(c)?
16
Suppose -i - 66 + 73 = -2*a, -3*i + 5*a + 25 = 0. What is the remainder when (0 + 1 - 1) + 43 is divided by i?
13
Let x(v) = 2*v**2 + 8*v + 9. Let g be x(-6). Let w = -89 + 66. Let m = w + g. Calculate the remainder when 49 is divided by m.
9
Let y(l) = -l**2 - 13*l - 10. Let w(q) = -q**2 + 25*q - 92. What is the remainder when w(15) is divided by y(-7)?
26
Let p be (-398)/(-9) - (-2)/(-9). Let a = p - 21. Suppose -47*u - 113 = -724. Calculate the remainder when a is divided by u.
10
Let p = 137 + 166. What is the remainder when p is divided by 38?
37
Suppose -5*v - 13 = 42. Let c = -6 - v. What is the remainder when c is divided by 4?
1
Suppose -i + 28 = 6*i. What is the remainder when 38 is divided by (i/(-6))/(26/(-507))?
12
Suppose -4*h = -3*h - 8. Let m(y) = -18*y - 5. Calculate the remainder when -1 + 41 + (-24)/h is divided by m(-1).
11
Let d = 5 - 0. Suppose 110 = j - 2*u - 0*u, d*j = u + 595. Suppose 3*x + 18 = j. Calculate the remainder when x is divided by 18.
16
Suppose 5*g = -15, -4*z = -5*g - 81 - 114. What is the remainder when 2240/z + (-2)/(-9) is divided by 1/(-5*(-5)/425)?
16
Suppose -8*n - 7 + 7 = 0. Suppose n = 3*q - 43 + 13. Calculate the remainder when 19 is divided by q.
9
Let i(t) = -t**2 + 9*t - 7. Let z = 79 + -77. Suppose -3*u - k + 128 = 0, -77 = -z*u - k + 2*k. Calculate the remainder when u is divided by i(6).
8
Calculate the remainder when 521 is divided by (18/(-54))/(2/(-396)).
59
Let d = -505 + 694. What is the remainder when d is divided by 5?
4
Suppose 0 = 4*p + 5*m - 3 - 35, 1 = p - 3*m. Let v(a) = 2 - 3 + 2*a - a - 2*a**3. Calculate the remainder when v(-2) is divided by p.
6
Let c(s) = 9*s - 3. Suppose -z - z = 0, -5*m + 15 = 2*z. Suppose 0 = -3*f - m*w + 31 + 11, -2*f - w + 23 = 0. Calculate the remainder when c(3) is divided by f.
6
Let k(t) = 27*t**2 + 2*t**2 - 10 + 11*t - 26*t**2 + 1. Let q = -7 + 31. Calculate the remainder when k(-8) is divided by q.
23
Suppose -5688 = -37*r + r. Calculate the remainder when r is divided by 49.
11
Let i = -156 + 159. Suppose i*d - 55 = 44. What is the remainder when d is divided by 9?
6
Let z = -64 - -66. Suppose 40 = z*l + r - 5*r, 5*l + 5*r = 70. What is the remainder when 31 is divided by l?
15
Let n = 64 + -71. What is the remainder when n/(105/(-80))*12 is divided by 6?
4
Let w(y) = -2*y + 59. Calculate the remainder when w(11) is divided by 13.
11
Suppose 588 + 2447 = 5*i. What is the remainder when i is divided by 10?
7
Let b(t) = -3*t**2 - 118*t - 125. Calculate the remainder when 80 is divided by b(-38).
26
Suppose u + 6 = 3. Let p(b) = -b**3 - b**2 - b + 4. Calculate the remainder when p(-3) is divided by 18*4/(-24)*u.
7
Suppose 171 + 356 = 31*u. Calculate the remainder when 270 is divided by u.
15
Let n(m) = m**3 + 3*m**2 - 2*m - 4. Let y be n(-4). Let w = 20 + y. Let d = -4 + w. What is the remainder when 14 is divided by d?
2
Suppose -b - 3*v - 9 = -5*v, 24 = -b + 5*v. Let h be (b/(-2))/((-1)/148). What is the remainder when (3/3)/(2/h) is divided by 19?
18
Suppose -12 = 5*l - 4*b, 3*l - 4*b + 15 = b. Suppose -4*n + 133 - 57 = l. What is the remainder when 47 is divided by n?
9
Suppose 6 = 4*x - x + 3*w, 5*w + 11 = 2*x. Suppose 5*k + 4*r = 40, 3*k - r = 2*r - x. What is the remainder when 14 is divided by k?
2
Suppose 23*p - 13*p - 230 = 0. Calculate the remainder when 91 is divided by p.
22
Suppose 0 = n - 5, 2*c - 3*n - 1 = -40. Let r = 3 - c. Calculate the remainder when 44 is divided by r.
14
Let z(t) = t + 11. Let h be z(-8). Suppose s + 20 = h*s. Suppose 0 = 4*l - 5*r - 98, -5*r + 37 = 2*l - l. Calculate the remainder when l is divided by s.
7
Let b = -67 - -71. Suppose 13 = b*j + 1. Suppose -k + l + 8 = 0, 2*k - 5 - 13 = 3*l. Calculate the remainder when k is divided by j.
0
Let m(k) = k**3 + 30*k**2 + 8*k - 29. Calculate the remainder when m(-29) is divided by 8.
4
Let v = 418 + -403. Calculate the remainder when 27 is divided by v.
12
Suppose -5*a + 2*x - 3*x - 289 = 0, 0 = 3*x + 12. Let h = a + 67. What is the remainder when ((-6)/4)/((-2)/24) is divided by h?
8
Let b(v) = -v**3 - 9*v**2 + 19*v + 9. Let s be b(-11). Let g = -34 + s. Calculate the remainder when g is divided by 0*1/1 + 3.
2
Suppose 7*x = 5*x - 2*q + 1868, 2*x - 3*q = 1868. Calculate the remainder when x is divided by 24.
22
Suppose 0 = 2*p + 13*z - 18*z - 65, 10 = -2*z. Calculate the remainder when 258 is divided by p.
18
Let l(s) = s**2 - 5*s - 4. Let v be l(6). Suppose 0 = v*m - 4*m. Let o = 5 - m. Calculate the remainder when 17 is divided by o.
2
Let a be (-1068)/8*(-16)/12. Suppose c - 2*z = 6*c - a, 110 = 3*c + 2*z. Calculate the remainder when c is divided by 23.
11
Suppose -4*k + 15 = j + 3, 3*k + 4 = -4*j. Suppose d + 15 = -4*l, 2*l + 3*l = 5*d + 200. Let g = d + 42. Calculate the remainder when g is divided by k.
3
Let w be 2 - (-3)/(-6)*0. Let i = w + -7. Calculate the remainder when ((-62)/10 + 2)*i is divided by 11.
10
Let a = -370 - -590. What is the remainder when a is divided by 28?
24
Suppose 15*a + 4312 = 29*a. Calculate the remainder when a is divided by 26.
22
Let j = -371 - -404. What is the remainder when 207 is divided by j?
9
Suppose -v + 49 = -0*v. Suppose 3*g - 44 = 241. Let q = g - v. What is the remainder when q is divided by 12?
10
Suppose 106*u = 111*u - 710. Calculate the remainder when u is divided by 4.
2
Let j be (-2)/(-1) - -20 - -2. Suppose -2*v - 36 = j. What is the remainder when v/(-7) - 14/49 is divided by 3?
1
Suppose 3*w - 27 - 6 = 4*v, -4*w + 2*v + 44 = 0. Calculate the remainder when w is divided by (0 - 1)*(-12)/4.
2
Suppose -4*b + 171 = -b. Suppose 0 = -3*i - 4*u + 201, u = i - u - b. Calculate the remainder when i is divided by 13.
11
Let z = 16 + -9. Let q be 23 - (-2 + z + -3). Suppose 4*u + 106 = 5*r, q + 2 = r + u. Calculate the remainder when r is divided by 12.
