 Suppose 3*v + 101 = 4*t, -6*v = 3*t - 3*v - 60. What is the remainder when a is divided by t?
21
Let j = 830 + -328. Calculate the remainder when j is divided by 46.
42
Let n = -250 + 279. Calculate the remainder when 106 is divided by n.
19
Suppose 7 = 5*z - 8*z - w, -3*z - 5*w = -1. Let b(d) = -d**3 + 6*d**2 + 2*d - 8. Let q be b(6). Calculate the remainder when (-52)/q*9/z is divided by 14.
11
Let g = 7291 + -7278. Suppose i = -4 + 63. Calculate the remainder when i is divided by g.
7
Let q = 54 + -14. Suppose 4*x - 3*s = q, -27 = -3*x - s + 3. What is the remainder when 28 is divided by x?
8
Suppose 5*i + 4*p = -6, -i - p + 2*p + 6 = 0. What is the remainder when 6 is divided by i?
0
Suppose -3*m + 2 = -4*l - l, 4*l - 28 = -5*m. Calculate the remainder when (-57)/(-6) + (-4)/(-8)*-1 is divided by m.
1
Let z = 1793 + -882. Calculate the remainder when z is divided by 19.
18
Suppose 0 = -17*h + 1442 + 1516. Calculate the remainder when h is divided by 12.
6
Let k = 40 - 38. Suppose -4*c + 29 + 67 = -4*q, k*q = 4*c - 102. Calculate the remainder when c is divided by 10.
7
Let l(t) = -t**2 + 52*t + 26. What is the remainder when l(7) is divided by 112?
5
Let f = 907 - 549. What is the remainder when f is divided by 12?
10
Let h(x) = 3*x**2 + 2*x - 9. Let y be h(-5). Let d = y + -49. Calculate the remainder when 13 is divided by d.
6
Let x(o) be the second derivative of -1/12*o**4 + 5*o + 1/2*o**3 + 0 - 1/2*o**2. What is the remainder when 3 is divided by x(2)?
0
Let u be (24/21)/4 + (-309)/(-21). Suppose -u*y = -3*y - 132. Calculate the remainder when y is divided by 3.
2
Suppose -3*z + 160 = 5*j, -5*z = -2*j + 6*j - 141. Suppose 8 = -0*o + o - 5*u, -o + 4*u = -8. What is the remainder when j is divided by o?
5
Let g = -1021 - -1118. Calculate the remainder when g is divided by 38.
21
Calculate the remainder when 117 is divided by ((-140)/(-40))/(3/60*2).
12
Let g be 28/6 - (-1)/3. Let u(b) = -g - 1 + 1 + 6 + 30*b. What is the remainder when u(1) is divided by 8?
7
Let q = -482 + 1022. Suppose -8*w + 4*w = -q. Calculate the remainder when w is divided by 35.
30
Let n = 42 + -21. Calculate the remainder when n is divided by ((-5)/(-2))/(9/(-180)*-10).
1
Let x(b) = 73*b + 1. Let d be x(2). Let n = d + -78. Let t(f) = f**3 + 8*f**2 + 6*f + 11. Calculate the remainder when n is divided by t(-7).
15
Let u = -73 - -119. What is the remainder when 88 is divided by u?
42
What is the remainder when 333 is divided by (-2 + (-24)/(-30))/(4/(-20))?
3
Suppose 63 = 4*j + 39. What is the remainder when 39 is divided by j?
3
Let m(c) = -10*c**2 + 54*c - 22. What is the remainder when 153 is divided by m(3)?
3
Suppose 0 = -5*z + 32 + 3. Suppose z - 4 = i. What is the remainder when 8 is divided by i?
2
Let o(j) be the first derivative of -4*j**2 - 15*j + 10. What is the remainder when 124 is divided by o(-5)?
24
Suppose 0 = 96*j - 92*j - 516. Calculate the remainder when j is divided by 19.
15
Let k(y) be the first derivative of y**4/4 - y**3 - 4*y**2 + 3*y - 2. Let w be k(5). Let n = 46 - w. What is the remainder when 131 is divided by n?
32
Let q be 4/14 - (-36)/21. Suppose -32 - 36 = -q*b. Calculate the remainder when b is divided by 18.
16
Let j = -27 + 34. Let x = 24 - 13. Calculate the remainder when x is divided by j.
4
Let b(j) = -j**2 - 12*j + 101. Calculate the remainder when 156 is divided by b(-16).
8
Let i(g) = -g + 3. Let o be i(15). Calculate the remainder when ((-97)/4)/(o/48) is divided by 25.
22
Suppose 3*o + o - 48 = 0. Let x be 12/(-8)*(-32)/o. Calculate the remainder when (3/(-5))/(x/(-180)) is divided by 15.
12
Let k(o) = -o**3 + 25*o**2 + 121*o - 113. Calculate the remainder when k(29) is divided by 0 + 0 - (-18 - -1).
15
Suppose 3*b - u = 12, 4*b - 10 = -5*u + 25. Suppose 3*d = -b + 17. Calculate the remainder when -1 - 105/7*-1 is divided by d.
2
Suppose -13*c + 18*c - 15 = 0. Suppose -c*y + 6 = 0, -2*k - 5*y - 2 + 16 = 0. What is the remainder when (-3)/(k + 1 + -4) is divided by 3?
0
Let j(m) = -1. Let p(b) = -b + 4. Let a = -5 - -10. Let y(u) = a*j(u) + p(u). What is the remainder when 14 is divided by y(-5)?
2
Let h(g) = -169*g**3 + 5*g**2 - 3*g - 7. What is the remainder when h(-1) is divided by 19?
18
Suppose -1843 = 12*p - 10819. What is the remainder when p is divided by 47?
43
Suppose -2*r + 0*r = 238. Let l = r - -186. What is the remainder when l is divided by (1/(-1) - (2 - -14))*(-312 - -311)?
16
Let f = 166 + -17. Calculate the remainder when f is divided by 38.
35
Let n(p) = -365*p + 828. Suppose 149 = 5*x + 24. What is the remainder when n(2) is divided by x?
23
Suppose 0*u = -3*u + 87. Suppose -3*y = -32 - 13. What is the remainder when u is divided by y?
14
Suppose -7*a - 1165 = -12*a + 5*u, -4*u = -2*a + 474. Calculate the remainder when a is divided by 10.
9
Let l(g) = 10*g - 36. Let f(a) = 15*a - 54. Let d(w) = 5*f(w) - 7*l(w). Calculate the remainder when 106 is divided by d(8).
18
Let y = -935 + 955. What is the remainder when 2318 is divided by y?
18
Let p(d) = -d**3 + 4*d**2 + 6*d - 4. Let n be p(5). Let l = -3 - n. Let f(b) = -6*b + 5. Calculate the remainder when f(l) is divided by 15.
14
Suppose -13*z = -16*z + 4*a + 92, 2*z = 4*a + 60. What is the remainder when z is divided by 2/(-5) - (-141)/15?
5
Suppose -9 = -z + 8. Let n(w) = -w**2 + 7*w + 27. Calculate the remainder when z is divided by n(9).
8
Suppose 0 = -3*l + 3*g + 108, 7*g = -l + 2*g + 54. Calculate the remainder when 425 is divided by l.
35
Let a = -11 + 16. Let u = -69 + 68. Let v(o) = 3*o**2. Calculate the remainder when a is divided by v(u).
2
Let p(z) = 17*z**2 + 3*z + 2. Let d = -190 - -227. Calculate the remainder when p(-3) is divided by d.
35
Suppose -3*q - q + 40 = 0. Suppose -29 = -b + q. What is the remainder when b is divided by 21?
18
Suppose 3*w + 2 = -10. Let h(q) = -7*q + 1. What is the remainder when h(w) is divided by 3596/217 + 12/(-21)?
13
Let x(o) = -2*o**2 - 61*o - 59. What is the remainder when x(-25) is divided by 49?
20
Let o(y) = 145*y**2 + 3*y. Let a(l) = -48*l**2 - l. Let t(q) = -21*a(q) - 6*o(q). Calculate the remainder when t(-1) is divided by 35.
30
Suppose 2*l - p - 187 = 0, -5*l - 3*p + 304 + 158 = 0. Calculate the remainder when l is divided by (-18 - -2)/(1/(-2)).
29
Let f = -42 - -72. Calculate the remainder when 81 is divided by f + (-4)/((-10)/(-5)).
25
Let m(s) = -s**2 + 18*s + 81. What is the remainder when m(14) is divided by 38?
23
Suppose -6*v + 8*v = 504. What is the remainder when v is divided by 66?
54
Calculate the remainder when 109 is divided by (0 - (1 + -3)) + 1944/54.
33
Suppose 0 = -2*k - 2*g + 200, 3*k - 4*g + 8*g - 302 = 0. What is the remainder when 369 is divided by k?
75
Suppose 0 = 5*c - 7 - 8. Suppose 63 - 9 = c*b. Calculate the remainder when b is divided by (174/12 + -4)*2/3.
4
Let b(f) = -f**2 + 16*f - 13. What is the remainder when b(13) is divided by (-1*2)/(-2) - -13?
12
Let v = 150 + -131. Calculate the remainder when 1004 is divided by v.
16
Suppose 3*n + 2*k = 2*n + 117, -447 = -4*n - k. Let w(d) = -2*d**2 + 8*d + 2. Let s be w(6). Let p = s + n. What is the remainder when p is divided by 23?
20
Calculate the remainder when 272 is divided by -7 - -1 - (-10 - 17).
20
Suppose -2 = j + 5*n + 10, 4*j = -2*n + 24. Calculate the remainder when 220 is divided by j.
4
Let n(f) = -f**3 - 3*f**2 + 4*f + 8. Calculate the remainder when 103 is divided by n(-5).
27
Let p(q) = 50*q - 70. What is the remainder when 128 is divided by p(2)?
8
Let n(c) = -c**3 + 6*c**2 + 4*c - 12. Calculate the remainder when n(-5) is divided by 49.
47
Let w(f) = 12*f + 2. Calculate the remainder when -2 + (-4 - (-4 + -111)) is divided by w(3).
33
Suppose -5*h - c + 3*c + 160 = 0, 2*h - 5*c - 64 = 0. Calculate the remainder when 107 is divided by h.
11
Suppose -10*b = 265 - 1185. Calculate the remainder when b is divided by 48.
44
Let w = -168 + 175. What is the remainder when w is divided by 2?
1
Suppose -4*n + 4 = a, -4*n = -2*a + n + 73. Calculate the remainder when 110 is divided by a.
14
Suppose -60 = -2*l - 4*h + 8*h, -63 = -3*l - 3*h. What is the remainder when 92 is divided by l?
20
Let z(v) = 60*v + 10. Let k(h) = 24*h + 4. Let a(x) = 12*k(x) - 5*z(x). Suppose -7*d + 61 = -65. What is the remainde