
10
Let z(l) = l**2 + 3*l - 27. Let r be z(-8). Let q(w) = w - 3. Calculate the remainder when 158 is divided by q(r).
8
Let q(c) = -c**3 + 9*c**2 - 13*c - 15. Calculate the remainder when 29 is divided by q(6).
14
Let c = -24 + 21. Let n(s) = s**3 + 4*s**2 - 2*s + 6. Calculate the remainder when 83 is divided by n(c).
20
Suppose 169 = 8*s - 359. Suppose 3*c = -2*c - 3*r + 67, 72 = 5*c - 2*r. Calculate the remainder when s is divided by c.
10
Let s be (7/5)/((-1)/(-5)). Suppose -3*t - 5*l + 61 = -0*t, -t + l + s = 0. Calculate the remainder when t is divided by 3*(-7)/6*-2.
5
Let s(z) = 3*z**3 - 3*z**2 + 2*z - 2 + 7*z**3 + 9*z**2 - 9*z**2. Let y = 4 - 2. Calculate the remainder when s(y) is divided by 24.
22
Suppose -2*h + 1 = -h. Let q(n) = h - 3 + 4*n - 1 - 1. Calculate the remainder when q(5) is divided by 9.
7
Suppose -2*d = 3 + 13. Let m = d + 15. Suppose i - 90 = -4*i. Calculate the remainder when i is divided by m.
4
Let c(o) = -o**3 + 8*o**2 + 14*o - 20. Let d(j) = -5*j + 9. Let x be d(0). What is the remainder when 48 is divided by c(x)?
23
Let w(b) = b**3 - 2*b**2 + 2. Let l be -1*(-3)/(-1 - 2). Let j(n) = -4*n. Calculate the remainder when w(3) is divided by j(l).
3
Let y = 3 + 35. Let h(q) = -q**2 - 9*q + 13. Let o(u) = -u**2 + 6*u - 9. Let j be o(6). Calculate the remainder when y is divided by h(j).
12
Let g(b) = -b**3 + 13*b**2 + 17*b - 34. Let t be g(14). Let o(w) = -w**2 - 2*w - 4. Let f be o(-6). Calculate the remainder when 21 is divided by 94/t - 7/f.
9
Suppose -5*w - 194 = -5*r + 101, 242 = 4*r - 2*w. Calculate the remainder when 192 is divided by r.
6
Let t be -1 - ((-160)/4)/(-2). Let z = t - -45. Let d = z + -16. Calculate the remainder when d is divided by 6.
2
Suppose -c = -2 - 26. Suppose 4*p = 5*j + c, p + 2*j + 18 = -3*j. Suppose -p*h + 2*m = 7*m - 11, m = 4*h - 33. What is the remainder when 29 is divided by h?
5
What is the remainder when 147 is divided by (-1443)/111*((-8)/(-2))/(-1)?
43
Let p be 153/(-12)*(-8)/3. Calculate the remainder when 178/9 + 0 + p/153 is divided by 16.
4
Let d be 123/6*-2*(-5)/5. Let i = -4 - -4. Suppose 3*p + i*b = 5*b + d, -34 = -2*p + 5*b. What is the remainder when 27 is divided by p?
6
Let s(b) = -20*b - 39. Let a be s(-3). Let w(i) = -i**2 + 21*i + 14. Let c = -6 - -47. What is the remainder when c is divided by w(a)?
13
Suppose -3*j - 2*f + 129 = f, -4*j = 5*f - 167. Suppose -24 = 2*i - j. What is the remainder when i is divided by 8?
4
Let s = -101 + 299. What is the remainder when s is divided by 52?
42
Let m = 134 - 117. Calculate the remainder when 162 - (-1 - -5 - 17/m) is divided by 16.
15
Suppose -3*w - 325 = -8*w. Suppose -5*d + 0*d = -w. Calculate the remainder when 6/((-3)/(102/(-4))) is divided by d.
12
Let c = -1500 + 1525. What is the remainder when c is divided by (-1 + -14)*4/(-6)?
5
Let p(u) = -6*u**2 - 5*u - 9. Let j(k) = 5*k**2 + 5*k + 8. Let n(r) = 4*j(r) + 3*p(r). Suppose -6*t - 4 = -4*t. What is the remainder when 3 is divided by n(t)?
0
Suppose -11*n + 1034 = 4*m, 188 = 2*n - 22*m + 21*m. Calculate the remainder when 563 is divided by n.
93
Suppose 5*x - 20 - 55 = 0. Calculate the remainder when 2/(-6) + 2390/x is divided by 27.
24
Let u(z) = z + 13. Suppose 3*f - 7*m = -6*m + 8, -20 = 4*m. What is the remainder when (45/(-18))/(f/(-2)) is divided by u(-10)?
2
Let t = 77 + -15. Let m(n) = -n**2 + 2*n + 22. Let c(j) = -j**3 - j**2 + j + 1. Let p be c(-1). What is the remainder when t is divided by m(p)?
18
Let p(h) = h**3 + 17*h**2 - 17*h + 22. Let f be p(-18). Suppose 42 = 3*j + 3*w, -j + 37 - 3 = -f*w. Calculate the remainder when 33 is divided by j.
15
Suppose -31*z + 1141 = -10205. What is the remainder when z is divided by 62?
56
Let y be (-12)/(-9) - 4/(-6). Let a = y + 2. Suppose -r - a*s + 50 = s, -4*r = 3*s - 115. What is the remainder when r is divided by 7?
4
Let q be 4/10 + (-104)/10. Let i be q - (1 + -2 + -1). Let g = i - -15. Calculate the remainder when 41 is divided by g.
6
Let y be (0 + 0)/(3 - 5). Suppose 4*m - 7*m + 48 = y. Let v = 51 + -22. What is the remainder when v is divided by m?
13
What is the remainder when 276 is divided by (-2 - 20/(-3)) + (-175)/(-525)?
1
Suppose 4*l = 69*l - 1300. Calculate the remainder when 1118 is divided by l.
18
Let l = 1236 - 1105. Calculate the remainder when l is divided by 38.
17
Let q(h) = 5*h + 48. Let l be q(-9). Suppose l*p - 182 = -r - 4*r, 0 = -3*r + 12. What is the remainder when p is divided by 19?
16
Let i be (-2)/(((-4)/8)/1). Suppose 2*x = -i*v + 6, -4*v + 8 = x + 7. Suppose x*w - 76 = -11. Calculate the remainder when 51 is divided by w.
12
Suppose 2*o + 0*h + 3*h = 210, -5*o + 4*h + 525 = 0. Calculate the remainder when 1 + 8*o/10 is divided by 25.
10
Let g(r) = 3*r**2 + 2*r**2 + 7 + 4*r - 4*r**2 + r**2. Let s be g(7). Suppose 4*v = -3*v + s. Calculate the remainder when 54 is divided by v.
16
Suppose 638 = 6*k + 5*k. What is the remainder when 462 is divided by k?
56
Suppose -p + 11 = 3*b, 3*b + 2 = 2*p + 16. What is the remainder when 283 is divided by b?
3
Suppose -o - 5*w = -22, -3*o + w + 6 + 12 = 0. Let a(u) = u**2 - 8. Let f be a(2). Calculate the remainder when (-11 - 2)/(f/8) is divided by o.
5
Suppose 5*s + 0*s + 115 = 0. Let o = -13 - s. Let x(f) = f**2 + 2*f - 43. What is the remainder when x(8) is divided by o?
7
Let k(l) = -l**3 + 2*l**2 + l + 25. Let w be k(0). Suppose 1 - w = -2*q. What is the remainder when (-2)/(-8) - 135/(-4) is divided by q?
10
Let o(g) = 8*g**2 - 72*g + 12. Calculate the remainder when 113 is divided by o(9).
5
Suppose -3*w + 4*w - 4 = 0. Suppose -w*j = -0 - 60. Suppose 0 = 3*d - j, 0*r - d + 37 = r. What is the remainder when r is divided by 12?
8
Let w be (-18)/4*(-32)/(-3). Let d = 22 + w. Let x = d - -46. What is the remainder when x is divided by 7?
6
Calculate the remainder when 118 is divided by (-1)/(-2 - (-105)/56).
6
Let f(q) = -q**3 + 6*q**2 + 3*q - 10. Let x be f(6). Suppose -4*a + 4*g + 28 = 0, -x*a - g = -4*a - 53. What is the remainder when 21 is divided by a?
9
Let y be ((-20)/(-25))/((-2)/(-15)). Suppose q - y = -3*p, -3*p - 51 = -5*q + 15. Let l = 47 + -3. What is the remainder when l is divided by q?
8
Suppose 0 = -4*l + 12*l. Suppose 2*c - 3*s + 18 = l, -5*c + 4*s = 3*s + 58. Calculate the remainder when ((-74)/(-4))/(c/(-24)) is divided by 20.
17
Let p = 61 + -77. Let i = p - -80. What is the remainder when i is divided by 14?
8
Let i(m) = -2*m - 15. Let b = -35 + 25. Calculate the remainder when 7 is divided by i(b).
2
Let f = -13 - -22. Calculate the remainder when (12/10)/((-12)/(-160)) is divided by f.
7
Let y = 506 - 141. Suppose -y = 3*z - 8*z - 5*k, -3*z = -5*k - 219. What is the remainder when z is divided by 13?
8
Suppose -5 = -3*t + 10. Let u(x) be the first derivative of -x**2/2 + 2*x - 4. Calculate the remainder when u(-6) is divided by t.
3
Suppose -54 = q - 133. Let v = q + -72. Let j = 5 - -8. Calculate the remainder when j is divided by v.
6
Let g = 338 - 302. What is the remainder when 49 is divided by g?
13
Let n(s) = s**3 - 18*s**2 + 18*s + 7. Let d be n(17). Let f = 45 + d. Calculate the remainder when f is divided by 8.
5
Suppose 3*m - 7*m + 5*g = 67, -5*g = -5*m - 90. Let y = -20 - m. What is the remainder when y is divided by 3?
0
Calculate the remainder when 95 + -42 - (-1 - -4) is divided by 13.
11
Let g = -22 + 2. Let r = 28 + g. Let m(u) = 16*u**3 - 2*u**2 + 2*u - 1. What is the remainder when m(1) is divided by r?
7
Suppose -3*r + 3 = -y, 2*r = 3*y - 4*y + 17. Let b = y + 4. Calculate the remainder when 50 is divided by b.
11
Suppose 5*s + 76*s = 1053. Let j = -68 - -104. Calculate the remainder when j is divided by s.
10
Suppose -y + 3*q + 26 = 0, -6*q + 40 = 5*y - 3*q. What is the remainder when 39 is divided by y?
6
Let m = 13 + -28. Let l = m - -18. Let t(j) = -j**3 - 2*j**2 - 2*j + 4. Calculate the remainder when t(0) is divided by l.
1
Suppose 3*a = 5*k + 26, 23 = -4*k + 7. Suppose -2*r + 18 = a*u + r, -5*r = -5*u + 45. Calculate the remainder when 43 is divided by u.
7
Let j(i) = i**2 - 7*i - 8. Let a be j(10). What is the remainder when a/(-11)*34/(-4) is divided by 11?
6
Suppose -q + 36 = -4*l, -2*q = 2*q - l - 84. Let p be 388/q + (-6)/15. Let b = p + -11. What is the remainder when 31 is