- -12. Suppose -5*i + 93 = -3*j, -3*i + 4*j + 56 = 2*j. Let v = t + i. What is the remainder when 17 is divided by v?
2
Let w = 1222 + -1204. What is the remainder when ((-153)/(-12))/((-1)/(-4)) is divided by w?
15
Let v = 707 - 672. Calculate the remainder when (0 - 1)/(2/(-138)) is divided by v.
34
Suppose 0 = -2*t + 5*t - 5*p + 379, -5*p + 497 = -4*t. Let l = t - -68. Let n = 91 + l. What is the remainder when n is divided by 11?
8
Let z = -157 - -160. Let t(y) = -5*y - 2. Let v be t(-2). Let o = 13 - v. What is the remainder when o is divided by z?
2
Let k(n) = n**3 - 2*n**2 - 7*n + 5. Let h be 36/(-45)*10/(-4). Suppose 0 = -0*a + h*a - 8. Calculate the remainder when 34 is divided by k(a).
7
What is the remainder when 97 is divided by (-1 - -13)/3 + 25 + -11?
7
Let p = -216 - -226. What is the remainder when 28 is divided by p?
8
Let h(j) = 5*j**3 + 2. Let t(p) = 6*p**3 - p**2 + 3. Let l(o) = 5*h(o) - 4*t(o). Let s be l(-4). What is the remainder when 5 is divided by -4 - (-8 + (0 - s))?
1
Let f(p) = p**3 + 18*p**2 + 21*p + 71. What is the remainder when 11 is divided by f(-17)?
2
Let u(r) = r**2 - 11*r - 12. Let n be u(12). Suppose n = -c - c + 56. What is the remainder when 79 - (-2 + 0 - 1) is divided by c?
26
Let b be (132/18)/(2 - (-88)/(-45)). Suppose 0 = 8*i - b - 19. What is the remainder when i is divided by 9?
5
Let c(s) = 9*s - 24. Let o(n) = n - 1. Let u be o(5). What is the remainder when c(u) is divided by 10?
2
Suppose o + 1 = 4*c - 237, 3*o = 4*c - 234. What is the remainder when c is divided by 21?
18
Let v = -324 + 375. What is the remainder when 146 is divided by v?
44
Suppose -q = -3*q + 8. Suppose h + 7 = z - 0*h, q*h = -z - 13. Suppose o - z = 24. Calculate the remainder when o is divided by 15.
12
Let d = -20 - -25. Suppose 0 = q - 3*g + 6*g - 56, -d*g = -3*q + 154. Calculate the remainder when q is divided by 19.
15
Suppose 52*r - 40*r - 396 = 0. What is the remainder when 96 is divided by r?
30
Suppose -4*h - 33 = -41. Suppose -6*g = 5*c - g - 80, 4 = h*g. Suppose 2*q - 149 = -3*o, 2*q - 5*o - 176 = -q. Calculate the remainder when q is divided by c.
11
Let q = 88 + -77. Let v(m) = 4*m - 19. Calculate the remainder when v(q) is divided by 13.
12
Suppose q - 944 = -3*q. Suppose -x - x = -q. Let s = 126 - 86. What is the remainder when x is divided by s?
38
Suppose -117 - 342 = -51*d. What is the remainder when 95 is divided by d?
5
Suppose -3*w = -2*w + 4*z - 19, -w - 1 = -z. Calculate the remainder when 14 is divided by w.
2
Let b = 19 + -7. Suppose -b*x + 56 = -10*x. Calculate the remainder when 53 is divided by x.
25
Let m(x) = -x**3 + 13*x**2 + x - 1. Calculate the remainder when 321 is divided by m(13).
9
Let b = -100 - -104. What is the remainder when (-198)/(-12) + 2/(-4) is divided by b?
0
Let a(u) = -20 + 12*u - 11 + u**2 - 17 - 1. Calculate the remainder when a(-17) is divided by 4.
0
Let p = -29 - -18. Let m = 30 + p. Suppose -r = -0*r + 2*a - 9, -32 = -4*r - 4*a. Calculate the remainder when m is divided by r.
5
Suppose 2*n - 32 = 132. Suppose -5*x - 10*j + 7*j = -79, -5*x - 4*j + n = 0. What is the remainder when x is divided by 3?
2
Suppose 0 = 2*k - 3*i - 5 - 17, 3*k + 2*i = 7. Suppose -3*z = -5 + 11. Let s = 9 + z. Calculate the remainder when s is divided by k.
2
Suppose -153*d + 158*d = 10. Let q be (-1 + 1 + 1)*4. Suppose q*z - d*z = 18. Calculate the remainder when 34 is divided by z.
7
Suppose 76 = 2*b + a, -15*a = 3*b - 11*a - 109. Suppose 2*z - 5*d = 45, 7*z - 2*z - 75 = 5*d. Calculate the remainder when b is divided by z.
9
Let v = 311 - 263. What is the remainder when 182 is divided by v?
38
Suppose 2*b + 234 = 5*b. What is the remainder when b is divided by 27?
24
Suppose 22*p - 14*p + 80 = 0. Calculate the remainder when 76/5 + (-8)/p is divided by 6.
4
Let c(a) = a**3 + 4*a**2 - a + 17. Calculate the remainder when 522 is divided by c(-4).
18
Let p(c) = 27*c + 25. Let j be p(8). Let t = j + -143. Calculate the remainder when t is divided by 50.
48
Suppose -2*w = 9*k - 7*k + 4, -2*w = -2*k - 8. Let j = 12 + -7. Calculate the remainder when (-38)/8*-4*w is divided by j.
4
Let i = 29 + -34. Let n be 4*i/(-60)*-12. What is the remainder when 28 + (0 - -1)*n is divided by 9?
6
Suppose -2*g + 134 = 88. Calculate the remainder when 39 is divided by g.
16
Suppose -5*g = -8 - 47. Let s(k) = k**2 + 64*k + 327. Calculate the remainder when s(-5) is divided by g.
10
Let m = 206 - 174. Calculate the remainder when m is divided by 23.
9
Let d(o) be the second derivative of o**4/6 + 5*o**3/6 - 9*o**2/2 + 4*o. Let t be d(4). Let a = t - 0. Calculate the remainder when a is divided by 11.
10
What is the remainder when 61 is divided by ((-5)/(-25) - 518/(-10))/1?
9
Suppose 5*f - 2*f - 30 = 0. What is the remainder when 3/(15/175 - 0) is divided by f?
5
Suppose 1724 = 4*b - 52*d + 51*d, 3*d = 5*b - 2162. Calculate the remainder when b is divided by 8.
6
Let n(s) = 354*s + 42. Calculate the remainder when n(5) is divided by 121.
118
Let k(z) be the first derivative of z**2/2 + 16*z - 7. Let q(p) = -6*p**3 + 1. Let s be q(-1). Calculate the remainder when 68 is divided by k(s).
22
Suppose 11*a - 1848 = -0*a. What is the remainder when a is divided by 17?
15
Suppose 5*c + 398 = 83. Let d = -30 - c. Let n = 7 - -56. What is the remainder when n is divided by d?
30
Suppose 85*x - 7758 = 76*x. Calculate the remainder when x is divided by 24.
22
Suppose 2*a = a - 87. Let m = -50 - a. Suppose -4*o - 3 + 51 = 4*f, -4*o + 4*f + 56 = 0. What is the remainder when m is divided by o?
11
Let p = 35 - 21. What is the remainder when 23 is divided by p?
9
Suppose 8*s = 3*s. Suppose s = f + f - 10. What is the remainder when 2/5*(95/2 + 0) is divided by f?
4
Let j(x) = -x**3 + 16*x**2 + 14*x + 69. Suppose -3*t + 5*t = 142. What is the remainder when t is divided by j(17)?
17
Suppose -3*o = -2*l + 22, 0 = -4*l - l - 2*o + 17. Suppose 2*z = 2*u - 22, -4*u + l = 4*z + 1. What is the remainder when u is divided by 3?
0
Let f(y) = -y**3 - 7*y**2 + y + 10. Let s be f(-7). Calculate the remainder when 24 + (1 - (s - 3)) is divided by (-32)/(-56) - 90/(-14).
4
Let y(w) = 308*w. Let n(b) = 28645*b. Let d(j) = -2*n(j) + 187*y(j). Let q be d(1). Suppose -q = -5*s - 101. What is the remainder when s is divided by 11?
8
Let p = 106 + -102. Suppose -w + 1 = -5*u + 76, -p*u = -2*w - 54. Calculate the remainder when 63 is divided by u.
15
Let b(a) = -a**3 + 24*a**2 + 53*a + 7. Calculate the remainder when b(26) is divided by 20.
13
Suppose 3*y + 123 = 6*y + 3*i, -2*y = -4*i - 76. What is the remainder when y is divided by 14?
12
What is the remainder when 73 is divided by -5 + 7 + 150/6?
19
Let t be (0 + 2)*(-10 + 12). Suppose 0 = t*q - 4*p + 2*p - 120, -2*p = 5*q - 132. What is the remainder when 111 is divided by q?
27
What is the remainder when 147 is divided by 14/10 + 1272/20?
17
Let f be (12/8)/((-6)/(-184)). Suppose -121 = 5*k - f. Let x = 33 + k. Calculate the remainder when 35 is divided by x.
17
Let d be ((-44)/(-6) - 3)*3. Suppose -5*u - 70 = -5*z, 0*z + d = 2*z + 3*u. Calculate the remainder when 32 is divided by z.
10
Calculate the remainder when 352 is divided by (-10137)/(-279) - 2/6.
28
Suppose 48*r - 49*r + 440 = 2*w, 3*w = -3*r + 1305. What is the remainder when r is divided by 54?
52
Let t(y) = 11*y + 3. Calculate the remainder when t(3) is divided by 2.
0
Suppose -3*l - 2*l = -125. Suppose -1313 = 30*u - 5033. What is the remainder when u is divided by l?
24
Suppose -112*a + 140*a - 168 = 0. Suppose -5*t + 6 = -2*h, -5*t - 1 = -21. What is the remainder when h is divided by a?
1
Let x(l) be the third derivative of l**4/6 + l**3/6 + l**2. Calculate the remainder when x(2) is divided by ((13 - -2)*28/(-35))/(-2).
3
Suppose 0 = 20*d - 21*d + 17. Suppose -5*k + 86 = 26. Suppose -2*j - p = -0*p - 62, -k = 3*p. What is the remainder when j is divided by d?
16
What is the remainder when 326 is divided by (-9 - -5)*(4 - 6)?
6
Calculate the remainder when 69 is divided by 10/(-80) - 78/(-16)*7.
1
Let x(m) = m**3 - 23*m**2 + 45*m - 45. What is the remainder when 140 is divided by x(21)?
14
Suppose 0 = 2*b - y, -4*b + 3*y - 4*y - 12 = 0. What is the remainder when 76 is divided by 10 + b/(1/(-6)*4)?
11
Let a be ((-36)/(-8) +