?
15
Suppose -12 = 4*l + 2*q, 0 = 5*l - 4*q - 2 - 9. Let v = l - -24. What is the remainder when 89 is divided by v?
20
Let d(s) = 6*s + 1. Let o be d(7). Calculate the remainder when (o + (3 - 1))/1 is divided by (-34)/(-3) + 34/51.
9
Let h(z) = -3*z + 27. Let k(g) = 5*g - 41. Let f be k(9). Let i(r) = r + 43. What is the remainder when i(0) is divided by h(f)?
13
Let l(c) = 13*c + 7. Let p be l(16). Suppose -3*s - 2*s = p. Let t = -26 - s. Calculate the remainder when t is divided by 5.
2
Suppose -3*h + 131 = -5*p - 284, h - 141 = p. Calculate the remainder when h is divided by 42.
19
Suppose -2*i + 39596 = 36*i. What is the remainder when i is divided by 12?
10
Let l(z) = z**2 + 5*z - 63. What is the remainder when 204 is divided by l(8)?
40
Suppose 0 = 4*p + z - 131, -34*z + 29*z + 111 = 3*p. Calculate the remainder when 187 is divided by p.
27
Let m(f) = -f**2 - 7*f + 1. Let u(s) = -109*s + 848. What is the remainder when u(7) is divided by m(-5)?
8
Suppose 287 = 6*w + j, 6*j + 4 = 2*j. Calculate the remainder when 168 is divided by w.
24
Suppose 2*c - 4 = -2*c. Let p(s) = s - 2. Let g be p(5). What is the remainder when -1 + (9 - g) + c is divided by 4?
2
Let k = -403 - -426. Suppose -4*p - 2*z + 0*z = -42, 0 = p - z - 3. Calculate the remainder when k is divided by p.
7
Suppose 266*i = 253*i + 1222. Calculate the remainder when 286 is divided by i.
4
Let s(v) = -8*v - 17. Calculate the remainder when 37 is divided by s(-3).
2
Calculate the remainder when 50 is divided by ((-280)/84)/((-2)/6).
0
Let d(y) = -y**3 + y**2 - y + 33. Let n be d(0). Suppose 0 = -4*w + n + 23. What is the remainder when 26 is divided by w?
12
Suppose -7*y + 2*y = 5*b - 70, 0 = -5*b + y + 52. Suppose -2*d - 2*d + 124 = 0. What is the remainder when d is divided by b?
9
Let x(l) = 74*l**3 + 9*l**2 - 4*l + 5. Calculate the remainder when x(2) is divided by 33.
31
Let a(x) = 2*x**3 + 11*x**2 - 28*x - 5. What is the remainder when a(-7) is divided by 3?
2
Suppose 4*z - 3*z - 357 = 0. What is the remainder when z is divided by 15?
12
Suppose -3*j + 71 = 5*s, 0*s - 3*s + 33 = 5*j. Let y(c) = c**3 + 14*c**2 - 18*c - 36. Suppose 7*k = -93 - 12. Calculate the remainder when s is divided by y(k).
7
Suppose 48 = -74*a + 76*a. What is the remainder when a is divided by 5?
4
Suppose 4*w = -p - 3*p + 164, w - 3*p - 37 = 0. Suppose -w = -5*v - q, 5*q + 15 = 2*q. What is the remainder when v is divided by 4?
1
Suppose 39*k - 1301 = 2638. Calculate the remainder when 123 is divided by k.
22
Suppose 37 = 5*o - 3. Let m be 168/27 + o/(-36). Suppose -m*x + 16 = -2*x. Calculate the remainder when 10 is divided by x.
2
Let u = -103 - -111. Calculate the remainder when 357 is divided by u.
5
Calculate the remainder when 177 is divided by (-3)/(-2)*(4 - 392/(-42)).
17
Let l be (-114)/4 - (-6)/4. Let k = l + 36. Calculate the remainder when 26 is divided by k.
8
Suppose 4*v = -0*v + 64. Let w = v - 0. Let i = -24 + 55. What is the remainder when i is divided by w?
15
Let y be 1/6 + 11/6. Suppose 57 = y*n - 29. What is the remainder when n is divided by 2/6 + 130/6?
21
Suppose 4*p = 314 - 1462. Let u = -196 - p. What is the remainder when u is divided by 31?
29
Suppose -16 = -4*j, -3*g + j = -0*g - 62. Calculate the remainder when 75 + -5 + (6 - 11) is divided by g.
21
Suppose 23*s = 1040 + 1237. Calculate the remainder when s is divided by 14.
1
Suppose -4*z + 2*z + 100 = 2*o, z + 262 = 5*o. What is the remainder when 102 is divided by o?
50
What is the remainder when 98 is divided by (39/52)/((-2)/(-88))?
32
Let m = 1086 + -1012. Calculate the remainder when 1254 is divided by m.
70
Let c = -352 + 650. Calculate the remainder when c is divided by 50.
48
Suppose -13 = -4*k + 27. Let n = -1 + k. Suppose 171 = 5*x - 3*l, 5*x = -0*l + 2*l + 169. Calculate the remainder when x is divided by n.
6
Let g(z) be the third derivative of z**5/60 + z**3/3 - 4*z**2. What is the remainder when 33 is divided by g(4)?
15
Let n = 37 + -29. Let p = -8 + 10. Suppose -p*i + 21 + 39 = 0. What is the remainder when i is divided by n?
6
Let w = 1622 + -1616. Calculate the remainder when 385 is divided by w.
1
Suppose -5*a + 46 - 19 = -4*o, -4*o - 9 = a. Suppose -2*v = 3*l - 17, 0*l + 2*v = a*l - 13. What is the remainder when 7 is divided by l?
2
Let k(h) = -h**3 + 14*h**2 - 8*h - 10. Let i(d) = -1. Let c(j) = 13*j + 6. Let u(w) = c(w) + 5*i(w). What is the remainder when k(13) is divided by u(1)?
13
Suppose z + 7*i - 17 = 3*i, -2*i + 6 = 0. Suppose -5*d + 25 = 3*s - 25, -2*d + z*s = -20. Calculate the remainder when 29 is divided by d.
9
Let z(i) = i**3 + 15*i**2 - 35*i - 27. Let f be z(-17). Let u be (-2)/3 + (-41)/(-3). Let o = f + u. What is the remainder when 4 is divided by o?
1
Suppose 938 = 3*i + 71. What is the remainder when i is divided by 21?
16
Let i be (-17)/(153/(-18)) - -4. Suppose 58 = 2*j - 68. What is the remainder when (-3 + j/i)*2 is divided by 6?
3
Let t = 66 - 68. Let l = t - -16. What is the remainder when l is divided by 6?
2
Let m = 141 + -94. Calculate the remainder when 85 is divided by m.
38
Suppose -106 = -3*d + 104. Let v = 5991 + -5967. What is the remainder when d is divided by v?
22
Suppose -7*p + 12*p = 10. Suppose 3*l = -p + 8. Suppose 4*w = g - l*g + 23, -29 = -2*w + 3*g. Calculate the remainder when 20 is divided by w.
6
What is the remainder when (-2 - 37/3)*45/(-5) is divided by 26?
25
Let x = 479 + -305. What is the remainder when x is divided by 30?
24
Suppose -5*n = 2*t - 110, -87 = -4*n - 79. What is the remainder when 170 is divided by t?
20
Let o(a) = a**3 - 8*a**2 - 8*a. Calculate the remainder when ((-6)/6)/(1/(-51)) is divided by o(9).
6
Suppose -3 - 2 = -y. Calculate the remainder when (1/2)/((-3)/(-36)) is divided by y.
1
Suppose -5*v + 552 = u, -4*v - v = 5*u - 540. Suppose 3*f - r + 2*r = 43, 2*r - 6 = -f. What is the remainder when v is divided by f?
15
Suppose -3*b - b = -3*l - 548, 264 = 2*b - 4*l. Let t(j) = j**3 + 10*j**2 - 5*j - 14. Calculate the remainder when b is divided by t(-10).
32
Let d = 98 - 94. Calculate the remainder when (30/18)/((-10)/(-24)) is divided by d.
0
What is the remainder when 6 is divided by (0 + -5 - 0)*56/(-140)?
0
Suppose -25 - 12 = -o + 4*l, -3*o + 2*l + 131 = 0. Suppose -20*z + 15*z + o = 0. What is the remainder when 35 is divided by z?
8
Suppose -6*l - 2*u = -3*l - 142, 4*u - 188 = -4*l. Suppose 0 = -2*h + h + l. What is the remainder when h is divided by (2 + -3)/(-1) + 12?
9
Let i(t) = -t**2 - 5*t - 2. Let q be i(-4). Let p = -37 + 32. Let j = q - p. What is the remainder when j is divided by 4?
3
Suppose 48 = 13*z - 5*z. Suppose -30 = z*a - 7*a. What is the remainder when 112 is divided by a?
22
Let d = -12 - -14. Suppose 29 = 5*w + 3*p, 3*w - d*p - 10 = -w. Suppose -w*x - l = -108, x + 0*x + 3*l = 38. What is the remainder when 76 is divided by x?
24
Let s(b) be the third derivative of b**6/120 + b**5/60 - b**3/2 - 14*b**2. Let w(a) = 7*a**2 - 4*a - 3. Calculate the remainder when w(-2) is divided by s(2).
6
Suppose 4*p = -951 + 999. What is the remainder when 12 is divided by p?
0
Suppose 0 = 3*b - 2*s - 27, 25 = -b - 5*s + 17. Calculate the remainder when 824 is divided by b.
5
What is the remainder when 114 is divided by (2 - 1)/(2/14)?
2
Let m(x) = -x**2 - 8*x - 12. Let p be m(-8). What is the remainder when (-3)/p - (-127)/4 is divided by ((-11)/3)/(22/(-66))?
10
Suppose -g - 2*h = -2, -4*g + 3*h = g + 42. Calculate the remainder when 36 is divided by 798/63*g/(-4).
17
Let q = -362 + 525. Calculate the remainder when q is divided by 18.
1
Let k(f) = f**2 - 17*f + 125. What is the remainder when k(8) is divided by 11?
9
Let h = 395 - 270. What is the remainder when h is divided by 33?
26
Suppose 0 = 3*s - g + 111 - 39, 24 = -s + 3*g. What is the remainder when 78 is divided by (s/(-16))/(6/80)?
18
Let p = 71 - 46. Calculate the remainder when 42 is divided by p.
17
Let r(g) = 539*g - 9. Let v be r(5). Let j = v + -1720. What is the remainder when 2/3*j/28 is divided by 8?
7
Suppose -1512 = z - 15*z. What is the remainder when z is divided by 41?
26
Let c(w) = 3*w**2 + 19*w + 58. Calculate the remainder when c(-4) is divided by 17.
13
Suppose -4*v = -5*p + 70 - 378, 0 = v + 3*p - 94. What is the remainder whe