1.
110
Let j = -39 + 45. What is the remainder when 36 is divided by j?
0
Suppose 5*b + 4*t = 91, 0 = -7*b + 2*b + 4*t + 59. What is the remainder when 18 is divided by b?
3
Let b be ((-10)/4)/(4/(-72)). Let y be (-321)/b + 6/45. Let p = y + 22. What is the remainder when p is divided by 6?
3
Let y(t) = 102*t**3 - t**2. What is the remainder when y(1) is divided by 8?
5
What is the remainder when 16 + (-15)/(-3) - (-1 - 0) is divided by 9?
4
Let l = -148 + 158. Suppose 3*v - 4*b - l = 0, -v + 6*v + b - 9 = 0. What is the remainder when v is divided by 1?
0
Suppose 3*n - 63 = -2*w, -90 - 46 = -4*w - 4*n. What is the remainder when 609/261 - (-2245)/15 is divided by w?
35
Suppose 9*a = 12*a - 408. What is the remainder when a is divided by 47?
42
What is the remainder when 53 is divided by (4/6)/((-12)/(-504))?
25
Let k be (-4)/14 + (-390)/(-91). Suppose 0 = -v - 3*n + 4, -5*v + n + 120 = -k*n. Calculate the remainder when 74 is divided by v.
17
Suppose 0*c + c = 111. Suppose 0*o - 3*o + c = 0. Calculate the remainder when 146 is divided by o.
35
Suppose -3*k - 3 = k - 3*n, k = 2*n - 2. Suppose 5*b = -k*b + 20. Suppose -b*m - 42 = -6*m. Calculate the remainder when m is divided by 11.
10
Suppose -36*p = -50*p + 2254. Calculate the remainder when p is divided by 34.
25
Let c = 36 + 45. Let r(g) = -23*g - 12. Let q be r(-6). Let s = q - c. What is the remainder when s is divided by 12?
9
Let x = -14 - -17. Suppose -x*c - 2*u - 24 = 0, 4*c + 0*u = u - 43. What is the remainder when (6 + -12)*c/6 is divided by 3?
1
Suppose 0 = u - 0 - 12. Suppose 0 = -2*w - 0*w + u. Calculate the remainder when (-4)/(-6) + 308/w is divided by 18.
16
Suppose -m + 133*g = 128*g - 29, 3*g = -m + 21. What is the remainder when 46 is divided by m?
22
Calculate the remainder when 162 is divided by (-77)/(-14)*-3*-2.
30
Suppose 0 = -4*v - 0 + 28. Suppose -4*j = -v*j. Calculate the remainder when 39 is divided by (-20)/(-2 - 0) + j.
9
Let n = 843 + -822. Suppose 2*z = -5*o + o + 574, 3*o + 2*z = 428. What is the remainder when o is divided by n?
20
Suppose 190*j + 3861 = 203*j. What is the remainder when j is divided by 10?
7
Suppose 0 = 16*w - 536 - 104. What is the remainder when 193 is divided by w?
33
Let j(i) = 3*i - i**2 - 7 + 3*i**2 + 3*i**2 - 4*i**2. Let c be -1 + (5 + -1)*-1. What is the remainder when 11 is divided by j(c)?
2
Let r = -322 - -347. Suppose 4*n = -2*h + 586, -4*n + 273 = -2*n + 5*h. Calculate the remainder when n is divided by r.
24
Let r(s) = s**2 - s - 1. Let q(j) = -j**3 + 9*j**2 + j. Calculate the remainder when q(8) is divided by r(5).
15
Suppose d = 4*d + t - 70, -2*d + 48 = 2*t. Let i = -6 + d. What is the remainder when 47 - ((4 - 4)/2 - 2) is divided by i?
15
Suppose -6*q + q = -3*f + 199, 5*q = -2*f + 141. Calculate the remainder when 611 is divided by f.
67
Let n(y) be the second derivative of -y**3/2 + y. Calculate the remainder when (61 - -33)*1/2 is divided by n(-4).
11
Suppose -70*d + 608 = -54*d. Calculate the remainder when d is divided by 33.
5
Suppose 3 = 3*k, 2*f + 2*k - 4*k = 46. Suppose -4*q - 5*y = -66, -5*y + 100 - 20 = 5*q. Calculate the remainder when f is divided by q.
10
Suppose -5*p + a + 601 = -2*p, 0 = 3*a + 3. Suppose p = 5*o + 3*o. Calculate the remainder when o is divided by 14.
11
Suppose -4*g + 5*g = 2. Suppose 0 = g*k - c - 16, -k + 0*c = 5*c + 14. Let z(f) = f - 3. What is the remainder when 6 is divided by z(k)?
0
Let o(k) = -86*k + 280. Calculate the remainder when o(-5) is divided by 23.
20
Let d = 1 + 1. Let i(l) = 27*l - 64. Let c be i(3). Suppose -5*h = 2*t - 177 - c, -4 = -d*t. Calculate the remainder when h is divided by 10.
8
Let a = 224 + -210. What is the remainder when 367 is divided by a?
3
Let z be (-1096)/24*9/3. Let u = -124 - z. Calculate the remainder when 63 is divided by u.
11
Let b(i) be the second derivative of -i**4/12 - 3*i**3 - 16*i + 1. What is the remainder when 222 is divided by b(-15)?
42
Let t(q) = -q + 35. Calculate the remainder when 107 is divided by t(26).
8
Let h = 125 + -109. Let a(y) = -4*y**3 + 2*y**2 - 1. Let u be a(-1). Let f(k) = k**3 - 3*k**2 - 2*k + 7. Calculate the remainder when f(u) is divided by h.
15
Let d = -24 - -87. Let k = -704 + 736. What is the remainder when d is divided by k?
31
Let l = 442 + -429. What is the remainder when l is divided by (7 + 1)*(2 - 1)?
5
Suppose 4*t + 4*r + 9 - 41 = 0, 0 = -3*t - r + 24. Suppose 0 = -0*g + 4*g + t. Let y(n) = -3*n + 1. What is the remainder when y(g) is divided by 2?
1
Suppose -14*j + 15*j = 46. Calculate the remainder when j is divided by 26 + (-2 + -2)/2.
22
Suppose 3*g - 25 = -2*g. Let i(m) = -2*m**3 - 7*m**2 + 9*m + 9. Let w be i(-6). What is the remainder when ((-1)/(-1))/(g/w) is divided by 10?
7
Let v = 38 + -34. Suppose -3*c = 2*b - 83, 42 = v*c + b - 77. What is the remainder when 88 is divided by c?
26
Let b = -702 - -706. Suppose 0 = 3*z + 1 - 13. Suppose -b*f + 2*f = -a - 62, -z*f + 112 = a. What is the remainder when f is divided by 11?
7
Suppose 0 = 5*l - i - 158, -4*i + 134 - 22 = 4*l. Let u = 2297 + -2286. What is the remainder when l is divided by u?
9
Suppose -43 = -4*j - 7. Let r = 5 + j. Calculate the remainder when r is divided by 6.
2
Let d(l) = l + 23. Let w be d(16). Suppose -3*b = w - 198. What is the remainder when b is divided by 28?
25
Suppose 16*y - 13*y = 5*x - 699, -6 = -3*y. What is the remainder when 405 is divided by x?
123
Let u(j) = 4*j**2 - 8*j + 7. Let m(c) = 29*c**2 - c. Let r be m(1). Calculate the remainder when u(5) is divided by 1/((2/1)/r).
11
Let z(g) = -2*g**3 + g**2 + g + 3. Calculate the remainder when (615/(-30))/(1/(-4)) is divided by z(-2).
19
Let t = 182 + -94. Suppose 0 = -4*l - 0*l + t. Calculate the remainder when l is divided by 8.
6
Let i(n) = -n**3 + 7*n**2 + 10*n - 20. Calculate the remainder when i(3) is divided by 7.
4
Suppose -17 = 3*l - 11. Calculate the remainder when (l/6)/(3/(-891)) is divided by 34.
31
Let d be 2/(-5) + (-99)/15. Let x(o) = -o + 0*o**3 + 2*o**3 + 3 + 7*o**2 + 1 - o**3. Calculate the remainder when 32 is divided by x(d).
10
Suppose 3*f = -2*z + 47, -3*z = -2*f - 102 + 12. What is the remainder when 305 is divided by z?
25
Suppose -22 = 3*o - 5*c, 0*o - 3*o = 3*c - 18. Suppose 7 = 2*t - o. What is the remainder when t is divided by (0 - (-1 + 4))*(-14)/21?
0
Let g(j) = j**2 + 12*j - 22. Let o(w) = w - 1. Let u(n) = g(n) + 5*o(n). Let p be u(-16). Let t = -20 - p. Calculate the remainder when 88 is divided by t.
19
Suppose -4*d - 157 = -5*l + 165, -3*l + 174 = 4*d. What is the remainder when l is divided by 35?
27
Calculate the remainder when 48 is divided by 78*(50/30)/5.
22
What is the remainder when 58/(-5)*(2 - 12) is divided by (1/1)/(61/915)?
11
Suppose 240 = 19*f - 11*f. Calculate the remainder when 131 is divided by f.
11
Suppose 5*m + 155 = 845. What is the remainder when m is divided by 13?
8
Let m = 52 + -16. Suppose -123 - m = -3*d. Suppose 5*a + n = -0*n + 49, -5*a - 2*n + d = 0. What is the remainder when a is divided by 5?
4
Let r(b) = -7*b**2 + 3*b + 5*b + 0*b**3 + b**3 - 6 + 0*b**3. Let m be r(6). Suppose 5*w + m = 76. What is the remainder when w is divided by 4?
2
Let z be (-4)/6*(-132)/8. Let x = -23 + 29. Let j = x + z. What is the remainder when j is divided by 9?
8
Let h(n) = -n - 1. Let p(c) = -11*c - 12. Let t(f) = 18*h(f) - 2*p(f). Calculate the remainder when 87 is divided by t(6).
27
Let i(r) = r**3 - 12*r**2 + 14*r - 18. What is the remainder when 584 is divided by i(11)?
14
Let x = 8 + -3. Let y(d) = d**3 - 4*d**2 - d. Let i = 52 - -6. Calculate the remainder when i is divided by y(x).
18
Let o = -28 - -33. Suppose -3*s + 2 = -v, -2*v + 6*v + o*s = 26. Calculate the remainder when 6 is divided by v.
2
Suppose 6 = -a + 2*c, -4*a + 1 = -c - 10. What is the remainder when (-4 - 72/(-15))*5 is divided by a?
0
Suppose 4*a - 3*x = 6*a - 303, a = -3*x + 153. What is the remainder when a is divided by 22?
18
Let j(u) = 4*u - 17. Let h be j(6). Suppose -h*p = -12*p. Suppose p = -z - 14 + 53. Calculate the remainder when z is divided by 21.
18
Let s = 16 + -7. Suppose 2*v + 9*w - 12*w = 67, -w - 5 = 0. Calculate the remainder when v is divided by s.
8
Let x(o) = -o. Let g(n) = 4*n + 17. Let k(b) = -2*g(b) - 18*x(b).