et t(q) = q**3 - 11*q**2 + 10*q + 6. What is the remainder when 20 is divided by t(10)?
2
Suppose -4*z - 5*h = -127, -2*z = -3*z + 3*h + 36. Calculate the remainder when 125 is divided by z.
26
Suppose -3*v - 3*s = -102, 3*v - 16*s + 18*s - 103 = 0. Suppose -x - x + 140 = 0. Suppose -32 - x = -n. Calculate the remainder when n is divided by v.
32
Let y(l) = 41*l - 75. What is the remainder when y(4) is divided by 46?
43
Calculate the remainder when 73 is divided by ((-130)/40)/(1 + 10/(-8)).
8
Suppose -159*u + 156*u + 6420 = 0. Calculate the remainder when u is divided by 51.
49
Let x = -64 + 38. Let l = -22 - x. Suppose 234 = l*b - 38. Calculate the remainder when b is divided by 23.
22
Let v(c) = -c**2 - 10*c - 6. Suppose n + 9 = 3*i, n - 12 = -4*n - 4*i. Let s = 29 + n. What is the remainder when s is divided by v(-7)?
14
Let o be 10/3 + 18/27. Calculate the remainder when (-2)/o + 183/6 is divided by 4/10 + 418/55.
6
Let h(f) = f**2 - 2*f - 20. Let v be h(6). Suppose 4*d + 130 = -d. Calculate the remainder when 48 is divided by 14/(-7)*d/v.
9
Let x(c) = c**2 - 34*c - 6. Calculate the remainder when 127 is divided by x(35).
11
Let t be (10/(-4))/((-12)/72). Suppose -3*x - 3*i = 15, 0*i - 4*i + 16 = 0. Let f = x + t. Calculate the remainder when 11 is divided by f.
5
Let o(b) = b**2 + 31*b + 112. What is the remainder when 13 is divided by o(-4)?
1
Let s = -18 - -14. Let r(p) = p - 5. Let d be r(s). Calculate the remainder when 26 is divided by d*(-2)/2*1.
8
Let z(v) = -v**3 + 7*v**2 + 8*v + 1. Suppose 11 = 2*f - 5. Let a(r) = -r**3 + 4*r**2 + 2*r - 5. Calculate the remainder when a(4) is divided by z(f).
0
Let b(m) = 23*m**3 + 6*m**2 - 17*m - 13. Let s(f) = -8*f**3 - 2*f**2 + 6*f + 4. Let r(u) = 6*b(u) + 17*s(u). What is the remainder when r(3) is divided by 13?
10
Let y(b) = b**2 + 2*b + 9. Let z = 28 - 15. What is the remainder when y(-5) is divided by z?
11
Let w = -92 - -215. What is the remainder when w/(-2)*(-80)/60 is divided by 14?
12
Suppose -14*k = 19*k - 1518. Calculate the remainder when 212 is divided by k.
28
Let s = 11 + -6. Suppose -3*q + s*o = -141, 3*o - 141 = -4*q + 18. What is the remainder when q is divided by 11?
9
Let a(f) = f**2 + 8*f + 3. Let u be a(-8). Suppose -b + r + 1 = 0, 4*r - 39 = -u*b - 1. What is the remainder when 16 is divided by b?
4
Let o(p) be the first derivative of -p**4/4 - 10*p**3/3 - 6*p**2 - 12*p - 3. Let d = 138 + -95. Calculate the remainder when d is divided by o(-9).
13
Suppose -11*n + 4*n = 175. Let a = n - -42. What is the remainder when a is divided by 8?
1
Suppose 55 = 4*f + 3. Suppose 0 = -d + 11 + 62. Calculate the remainder when d is divided by f.
8
Suppose 5*k - 223 = 87. Let v = k - 16. What is the remainder when v is divided by 24?
22
Suppose 0 = 3*i, 4*b - 3*i - 209 = 39. Calculate the remainder when 123 is divided by b.
61
Let q(v) = 41. Let k(z) = z - 40. Let p(a) = -3*k(a) - 2*q(a). Calculate the remainder when 82 is divided by p(7).
14
Suppose 2*b = -3*l - 98, 2*l + 44 = -3*b - 28. Calculate the remainder when 110/6 + 10/l is divided by 5.
3
Suppose 3*t + 16*d - 2736 = 13*d, -t = -5*d - 912. Calculate the remainder when t is divided by 61.
58
Let k(f) = -f**3 + 15*f**2 - 27*f + 11. What is the remainder when k(7) is divided by 20?
14
Let d(k) = 11*k + 107. What is the remainder when d(-4) is divided by 23?
17
Let z = -983 - -1032. Calculate the remainder when z is divided by 26.
23
Let s be -3*(-2 + 12/9). Suppose s*p = p + 24. What is the remainder when 69 is divided by p?
21
Suppose 0 = 2*n - 5*n + 51. Let u(j) = j**3 - 34*j**2 - 36*j + 116. Calculate the remainder when u(35) is divided by n.
13
Let h = -318 - -389. Calculate the remainder when h is divided by 15.
11
Suppose -2*d = 4*p + 2*d - 120, 0 = -3*p + 4*d + 83. Calculate the remainder when p is divided by 8.
5
Calculate the remainder when -17*8*(-7)/(-168)*-6 is divided by 23.
11
Let p = -119 - -137. What is the remainder when 95 is divided by p?
5
Let u(t) = t**2 - 8*t + 2. Let j be u(8). What is the remainder when 35 is divided by (-1 - 2) + 24/j?
8
Suppose -w - 13 = -5*s, -s - 7 = -0*w + 3*w. Let u(i) = 2*i**3 - 2*i**2 + 2*i - 1. What is the remainder when 20 - 0/(3 + 2) is divided by u(s)?
9
Let u = -47 + 52. Suppose -2*w - b + 44 = -6*b, 40 = u*w + 5*b. What is the remainder when 23 is divided by w?
11
Suppose 690*g = 686*g + 180. Calculate the remainder when g is divided by 5.
0
Suppose 5*o - 129*i - 238 = -126*i, 0 = 4*o - 5*i - 193. What is the remainder when 171 is divided by o?
30
Calculate the remainder when 2619 is divided by (-9)/18*-19*4.
35
Suppose -2*h - 6 = 0, 0 = -b - 18*h + 16*h + 179. What is the remainder when b is divided by 47?
44
Let u(w) = -w**3 + 2*w**2 - 9*w - 14. What is the remainder when u(-4) is divided by 41?
36
Suppose 3*f - 245 = -2*f. What is the remainder when f is divided by 7?
0
Let r = 14 - 5. Suppose -3*p + 8*p + 5*a + 25 = 0, -2*p = -3*a. Let w = p + 7. What is the remainder when r is divided by w?
1
Suppose 54*g = 59*g - 15. Let o = 21 + -11. What is the remainder when o is divided by g?
1
Suppose 273 = 2*o - 99. Suppose -22*l + o = -16*l. Calculate the remainder when 154 is divided by l.
30
Let g = -26050 - -26091. Suppose -z - 14 = -2*z. What is the remainder when g is divided by z?
13
Suppose 123*p - 124*p = -32. What is the remainder when 56 is divided by p?
24
Let h(j) = -j**2 + 15*j + 9. Suppose -3*f + 2*f = 4*i - 21, 33 = 4*i - 3*f. Calculate the remainder when h(12) is divided by 16/6*27/i.
9
Calculate the remainder when 1175 is divided by ((-8)/(-30))/((-3)/(-15))*18.
23
Let a(s) = -s**2 + 9*s - 4. Let i = -11 - -19. Let p be a(i). Calculate the remainder when (p + 208 + 1)/3 is divided by 24.
23
Suppose q - 6*q - 2*o + 41 = 0, o = -q + 10. Suppose 0 = 2*v - 3*v - 3*c + 11, 4*c + 7 = 3*v. Suppose -t + q = v. What is the remainder when t is divided by 1?
0
Let g(f) = 26*f**2 + 13*f - 13. What is the remainder when 109 is divided by g(1)?
5
Let x = -354 + 373. What is the remainder when 280 is divided by x?
14
Let y = -1738 + 1798. What is the remainder when 1077 is divided by y?
57
Calculate the remainder when 74 is divided by (4 + -2)/((-3)/102*-4).
6
Suppose 482 = u - 259. Calculate the remainder when u is divided by 6.
3
Let h(r) = 3*r + 3. Suppose 0*j - j = -5. Suppose j*s - 3*s = 176. Calculate the remainder when s is divided by h(5).
16
Let k(l) = -7*l - 9. Let m(f) = -13*f + 1. Calculate the remainder when k(-9) is divided by m(-1).
12
Let x(t) = 6*t. Let q(n) = -18*n. Let f = 13 - 18. Let l(m) = f*q(m) - 14*x(m). Calculate the remainder when 20 is divided by l(1).
2
Let i = -1490 - -1507. Let h = -15 + 76. Calculate the remainder when h is divided by i.
10
Let r = -36 - -41. Suppose r*u = 6*u - 23. What is the remainder when 135 is divided by u?
20
Suppose 36*z = 160 + 488. Calculate the remainder when 678 is divided by z.
12
What is the remainder when (52 - 68)*(-7 - -1) is divided by 84?
12
Let v be (-8)/10 - (-27651)/195. Let r = 4 - 0. Calculate the remainder when v/(-2 + 5) - r is divided by 11.
10
Suppose 13*j = 75 + 29. Let u = -149 + 84. Let p = -35 - u. What is the remainder when p is divided by j?
6
Let u = -1175 - -1179. Suppose d - 29 = -5*w, 0 = -6*w + w + 25. What is the remainder when u is divided by d?
0
Suppose -77 = -4*d - 25. Let o = 646 - 625. Calculate the remainder when o is divided by d.
8
Let k = -8 + 12. Suppose -u + 5 = k*u. Suppose -5*x + 28 = -4*f + 3*f, 5*x - 10 = -5*f. Calculate the remainder when x is divided by u.
0
Suppose -4 = 2*i, -i = 5*f - 0*i - 48. Calculate the remainder when 2/2*(41 + -2) is divided by f.
9
Let n = 6 - -64. Let b(t) = -2*t**3 + 9*t**2 - 2*t + 4. Calculate the remainder when n is divided by b(4).
10
Let m = 93 - 72. What is the remainder when 416 is divided by m?
17
Suppose 2*j = 6*j + v - 47, -2 = 2*v. Suppose -j*b + 2 = -130. Let f = -22 + 65. What is the remainder when f is divided by b?
10
Let p be (1*2)/(16 + -15). Suppose -z + 41 = -p*k, -z - 3*z + 3*k + 154 = 0. What is the remainder when z is divided by 13?
11
Let n(u) = u**2 - 2*u - 4. Let c be n(4). Suppose 0 = -c*k - k. Suppose k = -x - 3*o + 11, 3*x + 3*o = 45 - 12. Calculate the remainder when 42 is divided by x.
9
Suppose -2*i + 0*i - 6