the remainder when t is divided by n.
6
Suppose -2*r = 2*q - 0*r - 22, 3*r + 51 = 4*q. Suppose -2*i + 3*z = -40, 0 = -2*i - 0*z - z + 40. What is the remainder when i is divided by q?
8
Suppose -73*a - 1176 = -585 - 5482. Suppose 3*z - 5*z = -46. What is the remainder when a is divided by z?
21
Suppose 103 - 1613 = -10*a. What is the remainder when a is divided by 9?
7
Suppose -4*g + 152 = 2*v, -2*v - g = -7*v + 336. Suppose 5*l + 15 = 5*c, 4*l - 5 = 6*l - 3*c. Let s = v - l. What is the remainder when s is divided by 25?
22
Let p be 2/(-2) + (8 - 4)*1. Suppose -3*x - 11 = -53. Calculate the remainder when ((-10)/(1 - p))/((-7)/(-35)) is divided by x.
11
Suppose 0 = -2*d - 5*q + 55, 0 = -3*d - 3*q - 0*q + 87. Let a = -1 + 6. Suppose a*c + d = 135. What is the remainder when 61 is divided by c?
19
Suppose 2*a - 7*a - 120 = 0. Let j = 1 - a. Suppose 0 = 3*h - 0*w + 2*w - 216, -5*h = -5*w - 360. What is the remainder when h is divided by j?
22
Let x(v) = 25*v**2 + 8*v - 35. Calculate the remainder when x(3) is divided by 27.
25
Let t(y) = -25*y + 33. Let u be t(-11). What is the remainder when 56/u - (-1 - 1087/11) is divided by 27?
19
Let c = 46 - 42. Suppose c*k - 176 = -0*k - 4*x, k - 4*x = 64. What is the remainder when k is divided by 26?
22
Let z(n) = -n**3 + 4*n**2 + 3*n. Let q(t) = -t**2 - 4*t + 7. Let r be q(-4). Suppose r*h = 5*h + 8. What is the remainder when 47 is divided by z(h)?
11
Let l(j) = j**2 + 22*j - 2. Let d(o) = -22*o + 3. Let k(x) = -4*d(x) - 3*l(x). Calculate the remainder when 2 is divided by k(7).
0
Let v = 7 + -4. Suppose v*d - 8*d + 90 = 0. Calculate the remainder when d is divided by (50/15)/((-4)/(-6)).
3
Let o(q) = 4*q - 18. Let p be o(6). Suppose b - 50 = -4*b. What is the remainder when ((-8)/p)/(4/(-114)) is divided by b?
8
Let g = 3472 + -2424. Calculate the remainder when g is divided by 6.
4
Suppose 420 = -19*p + 40. Let n = 77 - -2. Let u = n + p. What is the remainder when u is divided by 20?
19
Suppose 4*c + 4*n + 16 = 0, -2 = -3*c - 5*n - 6. What is the remainder when (c/(-14) - 891/126)*-2 is divided by 3?
1
Let w be 16/56 + -1 + 24/14. What is the remainder when 80 is divided by (26 + w)/(-3)*-3?
26
Let b(z) = z**2 + 3*z + 10. Let p be b(0). What is the remainder when 45 is divided by 2/(-4) - (-65)/p?
3
Suppose -5*t + 175 = -3*o + 5*o, t + o - 35 = 0. Suppose 8*h - 65 = -5*a + 3*h, 4*a - 44 = 4*h. What is the remainder when t is divided by a?
11
Suppose 5*m - 3*m + 3*s + 13 = 0, 0 = 5*m + 2*s + 27. What is the remainder when ((-263)/m)/(6/30) is divided by 33?
32
Suppose 2*w = d - 92, 4*d - 181 = 2*d + w. Let v = 109 - d. What is the remainder when 63 is divided by v?
6
Let f(c) = 6*c + 5. What is the remainder when f(14) is divided by 4?
1
Let m = -13 - -21. Let l = 128 + -86. Suppose l = 3*d - 3*a, 5*d - 5*a = -3*a + 70. Calculate the remainder when d is divided by m.
6
Let g = 8 + -6. Suppose -g*a = 3*a + 60. Let h = 51 + a. What is the remainder when h is divided by 10?
9
Suppose 90 = 2*s - 7*s. Let k = s - -43. Calculate the remainder when 49 is divided by k.
24
Let c(r) = -r**2 + 87. Let k = 24 + -36. Let g = k - -12. Calculate the remainder when c(g) is divided by 18.
15
What is the remainder when 2048 is divided by (-19 - -127)/(-1 - (-3 - 0))?
50
Let l(s) = s**2 + 19*s - 185. Calculate the remainder when 121 is divided by l(-27).
28
Let j = 22 - 7. Let s = 26 - j. Suppose 0 = -2*c - 4 + 10. What is the remainder when s is divided by c?
2
Suppose -a = -3*i + a + 51, -4*a + 51 = 3*i. Let h = 52 - i. Suppose -4*s + h + 61 = 0. Calculate the remainder when s is divided by 13.
11
Let m be 26/8 + 1/(-4). Suppose -3*b + 67 + 75 = 4*s, -s + 31 = m*b. Let h = 5796 - 5783. What is the remainder when s is divided by h?
11
Suppose -6*d + 24*d - 198 = 0. Suppose -c + 22 = -d. Calculate the remainder when c is divided by 17.
16
Suppose 5*l + 6 = -4*w + 19, -4*w + 7 = -l. Let a = l - -29. Calculate the remainder when 78 is divided by a.
18
What is the remainder when 4*24/128 + 905/4 is divided by 58?
53
Let y(p) = p**3 - 3*p**2 - 17*p + 18. What is the remainder when y(6) is divided by 10?
4
Calculate the remainder when ((-473 + -4)/(-3))/((-21)/(-28)) is divided by 24.
20
Let b(x) be the second derivative of -x**2/2 + 5*x. Let y(q) = -2*q + 2. Let n(o) = 2*b(o) + y(o). What is the remainder when 9 is divided by n(-3)?
3
Let o = 84 - 50. What is the remainder when 138 + -3*(-12)/(-9) is divided by o?
32
Let m = -901 - -922. Calculate the remainder when 110 is divided by m.
5
Let r(z) = z**2 - 8*z + 13. Let p be r(6). Let m be (55 - 1) + (p - -1). Suppose 6*a = 2*a + m. Calculate the remainder when 40 is divided by a.
12
Let f = -89 + 112. What is the remainder when 79 is divided by f?
10
Let n(r) = -r**3 - 2*r**2 + 2. Suppose 4*a = a + 18. Suppose a*i - 3*i - 90 = 0. Calculate the remainder when i is divided by n(-3).
8
Let t(v) = -v**3 - 6*v**2 - 4*v + 10. Suppose -2*y - r + 5 - 19 = 0, 3*r = -3*y - 24. What is the remainder when t(y) is divided by 9?
7
Let l(w) be the second derivative of -7*w**3/6 - 6*w**2 - 3*w. Suppose -t - 4*t - 42 = -4*b, -3 = -b. What is the remainder when l(t) is divided by 16?
14
Let n(o) = -2*o**3 - 5*o**2 + 3*o + 6. Let k(u) = 2*u. Let s be k(-2). Let a be n(s). Suppose a = 4*d - 94. What is the remainder when d is divided by 9?
7
Suppose 2*c - 2 = c. Suppose 0 = o + c*o - 2*u - 32, 19 = 2*o + u. What is the remainder when 78 is divided by o?
8
Let p = -362 - -669. Suppose 12*g + 43 - p = 0. What is the remainder when 85 is divided by g?
19
Calculate the remainder when (-150 - -62)/((-4 - -1) + 2) is divided by 20.
8
Suppose -3*x = -15, -5*a + 75 = 10*x - 12*x. Calculate the remainder when 133 is divided by a.
14
Suppose 5*s - 3*d - 764 = 0, 4*d - 290 = 2*s - 4*s. What is the remainder when 151 is divided by s?
0
Let r = 3 + -8. Calculate the remainder when 37 is divided by -13*(2 - (-2 - r)).
11
Let q(g) = 13*g**2 + g + 19. What is the remainder when q(-3) is divided by 42?
7
Let h(w) = 2*w**2 + 29*w - 12. Let t = 5 - 16. Calculate the remainder when -2 - ((t - 0) + -1) is divided by h(-15).
1
Let w(z) = z**3 - z**2 + z - 3. Let i = -21 - -23. Suppose q = i*q - 33. Calculate the remainder when q is divided by w(3).
15
Suppose -w - 2*c + 1705 = 0, -21*w + 23*w - 3398 = 2*c. Calculate the remainder when w is divided by 23.
22
Let j = -17 - -35. Let y = -30 + 25. What is the remainder when j is divided by 6/30 + (-49)/y?
8
Let z = 214 - 155. What is the remainder when 294 is divided by z?
58
Suppose 7*p - 279 = 190. Calculate the remainder when p is divided by 27.
13
Suppose 0 = -2*b - 4*y + 90, -b + y + 0*y = -60. Let u(i) = -13*i + 7. Let d be u(-6). Suppose -d + 29 = -4*k. What is the remainder when b is divided by k?
13
Let k(t) = 18*t + 713. Suppose 2*o - 24 = -0*o. Suppose -3*h + 2*h + o = 0. What is the remainder when k(-37) is divided by h?
11
Suppose 156 = 2*c - r, -r = -5*c + 3*r + 384. Suppose 5*z - 470 = -c. Calculate the remainder when z is divided by 9.
6
What is the remainder when ((-55)/20)/((-273)/(-140) + -2) is divided by 37?
18
Let n be (30 + -4 + 4)/((-2)/(-4)). Let r = 67 - n. What is the remainder when r is divided by 4?
3
Suppose 3*t - 27 + 33 = 0, -j + 547 = -6*t. Calculate the remainder when j is divided by 27.
22
Suppose -26*f = -21*f + 10. Calculate the remainder when f/(-3)*(42 + -9) is divided by 6.
4
Suppose -455 = -41*z + 816. Calculate the remainder when 337 is divided by z.
27
Suppose -195*u + 3650 = -185*u. What is the remainder when u is divided by 61?
60
Let p(b) = 71*b - 267. Calculate the remainder when p(8) is divided by 77.
70
Suppose 0 = -l + 5*v - 6 + 81, -3*l - 5*v + 205 = 0. Calculate the remainder when 278 is divided by l.
68
What is the remainder when 15 is divided by 10*(-4)/(-3 - 1)?
5
Let h be (1 + 2)*102/9. Suppose h = 5*f + 19. Suppose i - 8 + 0 = 0. Calculate the remainder when i is divided by f.
2
Let k = -2 - -1. Let c be k/((-1)/2)*8. Suppose -6*a = -5*a - c. What is the remainder when 31 is divided by a?
15
Suppose 5 - 25 = -5*p. Suppose -5*o - 511 = -3*u + 159, -p*u + 872 = 4*o. Suppose 0 = -25*j + 23*j + u. What is the remainder when j is divided by 28?
26
Let j(a) = 1 - a**2 - a**2 + 4*a**3 - 2*a - 8*a**3. Let g be j(