23
Suppose 0 = -7*n - 4*n + 143. Let c(h) = h**2 - 10*h + 18. What is the remainder when c(n) is divided by 7?
1
What is the remainder when (-451)/22*(-31 + 1 + 0) is divided by 16?
7
Let d = 72 + -66. Suppose -n = -4*q - 3, -d = -n - n + q. Suppose -31 = -2*w - n*g + 7, -5*g = 0. Calculate the remainder when 89 is divided by w.
13
Let a be (1 + -5 + -5)/(6/8). Let t be (-2 + a/(-5))/(5/1025). Let d = t + -63. Calculate the remainder when d is divided by 11.
8
Suppose -75*t + 300 = -72*t. Let m = -90 + t. What is the remainder when m is divided by 2/3 + 95/15?
3
Let x(h) = 7*h + 60. Let o be x(-7). Suppose 0*j - 374 = -o*j. Calculate the remainder when 65 is divided by j.
31
Suppose -v + 786*m - 787*m = -149, -5*v + 796 = 2*m. Suppose 4*s = -g + 28, -5*g + 2*s + 52 = -4*g. Calculate the remainder when v is divided by g.
34
Suppose 7*a - 16*a + 18 = 0. Let j be (-213)/(-9) + a/(-24)*-4. Suppose 7*w - 4 = j. Calculate the remainder when 5 is divided by w.
1
Let m(y) = y**3 - 27*y**2 + 67*y - 1006. What is the remainder when m(27) is divided by 191?
39
Let c(j) = j**3 + 15*j**2 - 7*j. Calculate the remainder when c(-14) is divided by 25.
19
What is the remainder when (-5042)/(-14) + 348/406 is divided by 176?
9
Let p(m) = 129*m**3 - 2*m**2 + m - 1. Let t(h) = 6*h - 10. What is the remainder when p(1) is divided by t(3)?
7
Suppose 85*g = 72*g - 41*g + 1458. Suppose 6*r + 4*a = 3*r + 50, r - 3*a = 21. Calculate the remainder when g is divided by r.
9
Let b(i) = -228*i + 1623. Let h be b(7). Suppose m - 24 = -2*l + 6*m, -4*l - 2*m = 0. Suppose l*y = -y + h. What is the remainder when 28 is divided by y?
1
Suppose 0 = -4*x + 4*q + 4860, 5*q + 1219 = 246*x - 245*x. What is the remainder when x is divided by 18?
8
Suppose i - 4*i = 0, c - 3 = -2*i. Let y(t) = -t**3 - 3*t**2 - 3*t - 2. Let h be y(-2). Suppose -9*z + 21 - c = h. What is the remainder when 4 is divided by z?
0
Let j(o) = -o**3 - 22*o**2 - 20*o + 32. Let i be j(-21). Suppose -35 + i = -3*p. What is the remainder when 183 is divided by p?
7
Let l = -3081 + 3130. Calculate the remainder when l is divided by 30.
19
Suppose -98*o + 103*o - 549 = -2*y, 5*y + 426 = 4*o. Calculate the remainder when 260 is divided by o.
42
Suppose -4*p = 194*d - 196*d + 50, 2*d - 5*p - 51 = 0. Let n(m) = -m**3 - 6*m**2 + 5*m - 8. What is the remainder when d is divided by n(-7)?
5
Suppose 0 = k - 6*k + 30. Let o be (10/4)/(39/6 - 6). Suppose 60 = o*b - 2*r - 3*r, 0 = -b - 4*r + 32. Calculate the remainder when b is divided by k.
4
Let y = -272 + 479. Let h = 246 - y. What is the remainder when 111 is divided by h?
33
Let p be 3 + 2 - (-3 + 0). Suppose 2*q + 58 = 3*k, -4*q + 28 = k + k. Let b = k + p. Calculate the remainder when b is divided by 3.
2
Let v(b) = 127*b - 2491. Calculate the remainder when 691 is divided by v(21).
163
Let f = -8639 - -8641. Let c(z) = -z + 1. Suppose k - 2*k - 4 = 0. What is the remainder when c(k) is divided by f?
1
Let z(o) be the third derivative of o**4/2 - 8*o**3/3 + 3*o**2 + 15*o. What is the remainder when 658 is divided by z(5)?
42
Let y = -5933 - -5993. Let q = -90 - -182. Suppose 5*l + q - 19 = 3*v, -v = 5*l + 9. What is the remainder when y is divided by v?
12
Let l = 5756 - 5561. What is the remainder when l is divided by 70?
55
Let g = 58 + -53. Let f be (11 + -10)/(1/g). Calculate the remainder when 26 is divided by (-2)/f + 57*3/15.
4
Suppose -128*s + 1708 - 222 = -818. What is the remainder when 5218 is divided by s?
16
Let w(o) = -5*o + 1. Suppose 0 = 2*a + 3*s - 16, -3*a = s - 17. Suppose -4*f = -t + 58, a*f + 0*f + 5 = 0. What is the remainder when t is divided by w(-2)?
10
Let j(s) = -30*s**2 - 2 - 35*s**2 + 3*s + 12*s + 64*s**2. Suppose -2*l - 22 = -v, -4*l = v - 3 + 5. What is the remainder when 35 is divided by j(v)?
11
Let r(a) = 13*a**2 + 3*a + 2. Let n(k) = -2*k**3 + 142*k**2 - 129*k - 588. What is the remainder when n(70) is divided by r(-2)?
38
Let o(r) = -r**3 + 10*r**2 + r + 2. Let l be (105/2)/7*4/3. Calculate the remainder when 3 - 15/3 - -48 is divided by o(l).
10
Let a be (-78)/(-143) - 17/11. Let r(t) = 5*t + 20. What is the remainder when 912 is divided by r(a)?
12
Let z = -54 + 84. Suppose -339 - 336 = -9*o. Suppose 616 = o*k - 68*k. Calculate the remainder when k is divided by z.
28
Let h(z) = 2*z**2 + 123*z + 40. Calculate the remainder when h(-80) is divided by 21.
18
Suppose 3*f = -18, 52*p - f + 692 = 54*p. What is the remainder when p is divided by 10?
9
Let l(z) = 10*z**2 - 7*z - 113. Calculate the remainder when l(-16) is divided by 14.
11
Suppose -7*l - 22*l + 10382 = 0. Calculate the remainder when l is divided by 119.
1
Suppose 3273 + 7479 = 16*y. Let s = y - 651. What is the remainder when 55 is divided by s?
13
Suppose -5*m + 13 = -2. Suppose m*n = 10*n - 14. Suppose -r - 4*o = -85, n = 2*o + 6. What is the remainder when r is divided by 24?
21
Let v be 468/4 + (9 - 7). Let p = 100 - v. Let a = p - -82. What is the remainder when a is divided by 23?
17
Suppose 0 = 4*g - g - 63. Suppose -3*q - g + 87 = 0. What is the remainder when 74 is divided by q?
8
Suppose 9*y - 1404 - 2502 = 0. Let r = 445 - y. Calculate the remainder when 42 is divided by r.
9
Suppose -65*d + 45*d = -900. Suppose s - 5*h - 31 = 0, h = -2*s - 4*h + 32. Calculate the remainder when d is divided by s.
3
Suppose 3*i = -19 + 7, i - 320 = -3*c. Calculate the remainder when 2048 is divided by c.
104
Let l = -166 + 41. Let r = -35 - l. What is the remainder when r is divided by 31?
28
Let c(f) = -f - 5*f + 3*f**2 + 3 - 2*f. Let b be c(4). What is the remainder when 96 is divided by 3*3/9 + b?
16
Calculate the remainder when 648 is divided by (-4)/(-3) - (20 - (-4288)/(-24)).
8
Let c(y) = y**3 - 9*y**2 - 37*y + 15. Let n be c(12). Suppose 4*q - 188 = -4*z, 0*z = 5*z - n*q - 195. What is the remainder when 123 is divided by z?
39
Let c = -4620 - -6389. What is the remainder when c is divided by 25?
19
Calculate the remainder when (-9)/(1299/93 + -14) is divided by 75.
54
Let q = -45 + 92. Suppose 4*c + 2*d - 4 = 12, c + 2*d - 1 = 0. Suppose -53 + 3 = -c*s. Calculate the remainder when q is divided by s.
7
Let b(m) = 18*m**2 + m - 1. Let o = 49 - 103. Let r = 55 + o. Calculate the remainder when 105 is divided by b(r).
15
Suppose -211*c + 230238 = 110128 - 142585. What is the remainder when c is divided by 48?
45
Suppose -3*o + 77 + 10 = j, -63 = -3*o + 3*j. Let s = -71 + 420. What is the remainder when s is divided by o?
25
Suppose -66*k + 64*k = -150. What is the remainder when 1422 is divided by k?
72
Let u(q) = -q**3 - 5*q**2 - 5*q + 4. Let y be u(-4). Suppose -212 = -5*o + y. Calculate the remainder when o is divided by (-79)/(-5) + 6 + (-348)/60.
12
Suppose -8*g + 755 = -437. Suppose -o = w - g, -9*w + 8*w - 157 = -o. What is the remainder when o is divided by 31?
29
Let l(u) = 15*u**3 - u**2 + 2*u - 2. Let w be l(1). Let j be w*10/35*1. Calculate the remainder when 159 is divided by ((-81)/j)/((-3)/8).
51
Suppose -5*d + 122 = 22. Let z(v) = 2*v - 15. Let j be z(10). What is the remainder when (0 - -17)/(j/35) is divided by d?
19
Let h(f) = -f**3 + 10*f**2 - 34*f + 204. What is the remainder when 952 is divided by h(8)?
52
Let v(o) = -6 + 7 + o**3 - 10*o**2 + 11*o + 1 + 2. Calculate the remainder when 76 is divided by v(9).
10
Suppose -5*c + 15 = -0*c. Let t = 31 + c. Suppose 251*n - 11596 = -641*n. Calculate the remainder when t is divided by n.
8
Let r = -1478 + 1630. Calculate the remainder when r is divided by 70.
12
Let h = 14166 - 14027. Calculate the remainder when h is divided by 52.
35
Suppose -5*z = 3*f - 0 - 9, f - 3*z - 3 = 0. Let v(n) = -n**3 + 26*n**2 + 93*n - 61. Calculate the remainder when v(29) is divided by f.
2
Let r(s) be the third derivative of s**6/120 - 2*s**5/15 + s**4/24 + 5*s**3/3 + 23*s**2. What is the remainder when r(8) is divided by -6*(-2 - (-8)/12)?
2
Suppose 26*r + 156 = -52. What is the remainder when 1528/(r/(-2)) + -8 is divided by 27?
23
Let d = -5016 - -5815. What is the remainder when d is divided by 168?
127
Let i(c) = 175*c + 2738. Calculate the remainder when 3728 is divided by i(-15).
112
Let j be 11/33 + 10/6. Suppose -5*q - z + 192 = 3*z, j*q - z = 82. Let l = 53 - q. What is the remainder when 49 is divided by l?
10