t f = u - 24. Let j = f - -16. What is the remainder when 18 is divided by j?
4
Suppose 0 = 5*r - 68 - 7. Let a = -22 - -79. Calculate the remainder when a is divided by r.
12
Let z(i) = -5*i - 28 - 17 + 7 + 13*i. Calculate the remainder when z(9) is divided by 23.
11
Let x(p) = 2*p**2 + 2*p - 21. What is the remainder when 35 is divided by x(4)?
16
Suppose -2*a + 34*m = 37*m - 193, -5*a = -2*m - 511. Calculate the remainder when a is divided by 34.
33
Suppose -64 - 61 = 5*c. Let j = c - -28. Suppose p + 3*z - 21 - 1 = 0, 128 = 5*p - j*z. What is the remainder when p is divided by 7?
4
Suppose -1 = -u, 5*u + 113 + 79 = z. Calculate the remainder when z is divided by 13.
2
Suppose 4*v - 4*r + 0 - 132 = 0, 36 = v - 4*r. What is the remainder when v is divided by 19?
13
Let m = 387 - 341. What is the remainder when m is divided by 24?
22
Let l(x) = -x**2 + 5*x - 4. Let q be l(4). Suppose q = -r + 4*r + 57. Let i = 32 + r. Calculate the remainder when 25 is divided by i.
12
Suppose -4*p - n + 56 = 0, 45 + 12 = 3*p - 3*n. Suppose -3*g - 531 = -15*g + 3*g. Calculate the remainder when g is divided by p.
14
Let w be 1/((-3)/((-108)/(-4))). What is the remainder when 33 is divided by -1 + (4 - w/1)?
9
Let r = 22 - 7. Calculate the remainder when 6 - (8 + 2)/((-600)/(-56) + -11) is divided by r.
11
What is the remainder when 3*(-50)/(-30) + 270/2 is divided by 24?
20
Let y(u) = -u - 14. Let v(q) = -q - 13. Let j(a) = 3*v(a) - 4*y(a). Calculate the remainder when (-3)/(-12) - (-35)/4 is divided by j(-14).
0
Let f(v) = 38*v - 38. Calculate the remainder when f(3) is divided by 1.
0
Let s(r) = 201*r - 3004. Suppose 0 = 3*y - 0*w + 3*w - 264, 2*y = w + 191. Let j = -62 + y. What is the remainder when j is divided by s(15)?
9
Let w = 651 + -649. Suppose 0 = 3*r - 2*r + 4*l + 4, l = r - 6. Calculate the remainder when r is divided by w.
0
Let j(t) = -2*t**3 + 21*t**2 + 15*t - 30. Suppose 5*m - 6*m = -51. What is the remainder when m is divided by j(11)?
9
Suppose 0 = o - 0*y + 5*y + 10, -3*o - y = 30. Let r(x) = -5*x + 10 - 4*x**3 + 10*x**2 + 5*x**3 - 5. What is the remainder when r(o) is divided by 14?
13
Suppose 302 = -3*i + 113. Let c = 75 + i. Suppose 4*l = -2*p + 90, -4*l + 5*p - p + 72 = 0. Calculate the remainder when l is divided by c.
9
Let r = 5 - 29. Calculate the remainder when -70*(4/14 + r/35) is divided by 6.
4
Let z(w) = w**2 - 2*w - 4. Let f be z(4). Suppose 0 = -f*o + 54 + 62. Suppose 4*a - 606 = -150. Calculate the remainder when a is divided by o.
27
Let p = 692 + -678. Let b(h) = 3*h + 5. Calculate the remainder when b(7) is divided by p.
12
Suppose -l = -3*o + 1 + 15, -l - 2*o - 31 = 0. Let c = 29 + l. Suppose 2 = -x + 2*x. Calculate the remainder when c is divided by x.
0
Suppose 11 = 5*m - 9. Let d(s) = -5*s + 5 - 6 - s**2 + 4. Calculate the remainder when m is divided by d(-5).
1
Suppose -135*u + 328 = -127*u. What is the remainder when 179 is divided by u?
15
Suppose -5*j = -5*n + 250, 18*n - 20*n + 125 = 3*j. Let g(v) = -v + 21. What is the remainder when n is divided by g(0)?
13
Suppose -68*c = -57*c - 8448. Calculate the remainder when c is divided by 18.
12
Let u(q) = -q**3 - q**2 - q. Let r(d) = 2*d**3 + 10*d**2 + 9*d - 16. Let a(h) = -r(h) - u(h). What is the remainder when 61 is divided by a(-8)?
13
Let p(c) = -5*c**2 - 2*c - 1. Let v be p(-1). Let f = v + 5. Calculate the remainder when 90/(2 + 1) + f is divided by 16.
15
Suppose -87 = -5*o + 2*o. Let q(f) = -f**2 + 6*f - 73. Let b be q(10). Let w = b - -168. Calculate the remainder when w is divided by o.
26
Suppose 3 = 3*g, 7*a = 3*g - 6 + 24. What is the remainder when 136 is divided by a?
1
Let y = -140 + 85. Let o = y + 80. What is the remainder when (-2)/((-8)/396) - 1 is divided by o?
23
What is the remainder when 477 is divided by -20*(1 + (-3)/1)?
37
Let v = -284 - -305. Calculate the remainder when v is divided by 7.
0
Suppose -2*n + 3 = n, -3*b - 2*n - 7 = 0. What is the remainder when -19*(b - -1 - 2) is divided by 26?
24
Suppose -5*t = -3*q - 13, -4*t + 8 - 1 = q. Calculate the remainder when (11 + 299/(-26))*-14 is divided by t.
1
Suppose -p + 829 = 5*a, -2*a + 150 = -4*p - 186. Suppose -444 - a = -10*n. What is the remainder when n is divided by 9?
7
Suppose 3*u = 8*u. Suppose 2*l - 3 = 3*j, -4*j = -u*l - 5*l - 10. Calculate the remainder when 4/l - 47/(-3) is divided by 6.
3
Let t = -9 + 13. Suppose 3*q - t*f + 2*f = 83, 2*q - f = 57. What is the remainder when 123 is divided by q?
30
Suppose 3*d = 5*d - 106. Let b = -31 + d. Let x = -16 + b. Calculate the remainder when 16 is divided by x.
4
Let x = 186 + 83. What is the remainder when x is divided by 40?
29
Let n(o) = 2*o**3 + 4 - 3*o**3 + 9*o**2 + 9*o - 10. Let p be n(7). What is the remainder when 2 - (4 + p)/(-3) is divided by 19?
17
Let c be 0/(-3) - 81/3. Let r = -12 - c. Let s = -8 + r. Calculate the remainder when 27 is divided by s.
6
Suppose -103 = -5*p - 3*j, -3*p + 4*j + j + 55 = 0. Calculate the remainder when 54 is divided by p.
14
Let x(a) = -7 + 4*a - 3*a - a - 2*a. Let l be 9/((-1)/2*2). Calculate the remainder when 21 is divided by x(l).
10
Suppose 55 = 5*z - 5*v - 90, v + 2 = 0. Let p(t) = -t**3 - 5*t**2 + 4*t - 2. What is the remainder when z is divided by p(-6)?
7
Let a = 551 - 534. Let j(k) = 3*k**2 - 7*k. Calculate the remainder when j(6) is divided by a.
15
Suppose -18*r = -2*d - 17*r + 65, r + 167 = 5*d. What is the remainder when 169 is divided by d?
33
Let l(v) = -v**3 - 3*v**2 + 7*v + 5. Suppose 0*u + t = -4*u - 47, 0 = 3*u - 2*t + 27. Let n = u + 6. What is the remainder when 57 is divided by l(n)?
17
Let z = 26 + -26. Let b(x) = z*x + 2*x + x - 8. What is the remainder when 36 is divided by b(7)?
10
Let s(w) = -w**2 - 25*w - 70. What is the remainder when 87 is divided by s(-19)?
43
Calculate the remainder when ((-392)/(-168))/((-1 + 2)/27) is divided by (1 + -4)*(-66)/6.
30
Suppose -66 = 6*q - 438. Calculate the remainder when 228 is divided by q.
42
Let w = 682 - 630. Calculate the remainder when 73 is divided by w.
21
Let i = 25 + -17. Let o(m) = m**2 - 4*m + 1. Suppose -2*x = k - 41, -k - 17 = -2*x + 14. What is the remainder when o(i) is divided by x?
15
Let a(b) = 5*b**3 + 3*b**2 + 9*b + 29. Let q(x) = -x**3 + x**2 + x. Let g(z) = -a(z) - 3*q(z). Calculate the remainder when g(-4) is divided by 13.
12
Suppose 0 = -5*i - q + 67, -2*q - 8 - 27 = -3*i. What is the remainder when 38 is divided by i?
12
Let i = -76 + 87. Suppose 3*o - 5*g = -0*o + i, 1 = -g. Calculate the remainder when o is divided by 1.
0
Let k = 161 + -88. What is the remainder when k is divided by 21?
10
Suppose -5*q + 2*r - 4*r = -7, 1 = 2*q - r. What is the remainder when (4/(-2))/(1/(-1)) is divided by q?
0
Let a = -288 + 303. Calculate the remainder when 147 is divided by a.
12
Suppose -s + 124 = -5*l, 108 = s - 3*l + 2*l. Calculate the remainder when s is divided by 5.
4
Let s(u) = -21*u - 37. What is the remainder when 335 is divided by s(-5)?
63
Let s(d) = -d**3 - 4*d**2 + 5. Let f be s(-4). Suppose -4*k + 12 = 4*b + 4, -k - f*b + 10 = 0. What is the remainder when (11 - k)/(6/12) is divided by 8?
6
Let v = -7 - -5. Suppose -n + 14 = 3*i - 15, 4*n = -i + 28. Calculate the remainder when (-21)/2*(v - 0) is divided by i.
5
Let a be (-2)/3 - 228/36. Let w be a/(7/4) + 47. Suppose 5*n + 14 = -j + w, -3*j - 3*n = -87. What is the remainder when j is divided by 6?
5
Let h(p) = 6*p**2 - 2*p**3 - p**3 - 1 + 3*p + 4*p**3. What is the remainder when 66 is divided by h(-4)?
9
Suppose -11*w + 167 - 68 = 0. What is the remainder when w is divided by 5?
4
Let h = 1297 - 1266. What is the remainder when 243 is divided by h?
26
Suppose 36*s - 33*s + 498 = 0. Let n = -138 - s. Calculate the remainder when 194 is divided by n.
26
Let p be (13/((-39)/(-18)))/(-1 - -2). Calculate the remainder when 1136/6 - ((-10)/p + 2) is divided by 32.
29
Let f = -24 + 17. What is the remainder when 57 is divided by 6/(-21) + (-72)/f?
7
Suppose a + 21 = 3*m, -3*m + a = 2*m - 37. Let k(s) = 2*s - 7. What is the remainder when k(10) is divided by m?
5
Suppose -3*n = -25 + 7. Let u = n - 3. Suppose 0 = u*f - 0*f - 2*s - 42, -83 = -5*f - s. Calculate the remainder when 45 is divided by f.
13
Let a(o) = o**2 + 3*o - 52. What is the r