- 9. Let o be g(-14). Let r be (2/o)/((-2)/(-30)). What is the remainder when 63 - (r/3 - 0) is divided by 16?
13
Let l = -99 - -102. Suppose 2*v = -v + 9. What is the remainder when v is divided by l?
0
Suppose -18 + 134 = 2*p - 5*h, -210 = -4*p - h. Calculate the remainder when p is divided by (-16)/(-12) + -2 + (-175)/(-15).
9
Suppose 7*k + 12140 = 27*k. Calculate the remainder when k is divided by 32.
31
Let w(g) = -82*g - 1. What is the remainder when w(-1) is divided by ((-42)/10)/(((-2)/(-15))/(176/(-132)))?
39
Let i = -618 + 1262. Suppose -9*w + 2*w + i = 0. Calculate the remainder when w is divided by (1/(-3))/(1/(-57)).
16
Let h = 6 + -7. Calculate the remainder when (1 + 0)/h*-21 is divided by 5 - 2*4/(-8).
3
Let v(y) = -y**3 + 2*y**2 + 2. Let a be v(2). Suppose 0 = 3*g - a*f - 801, -2*f + 4*f - 267 = -g. Calculate the remainder when g/4 - 5/(-20) is divided by 17.
16
Suppose -2*k + 3*s + 13 = -0*k, -k = 5*s + 13. Suppose 0 = 3*j - 3*v - 42, -3*j + k*j = -3*v - 22. Calculate the remainder when 37 is divided by j.
7
Suppose -x = 5*u - 24 - 2, -3*x + 78 = -5*u. What is the remainder when 127 is divided by x?
23
Let u(k) = -k + 16. Let x be u(6). Calculate the remainder when 10 is divided by 62/x - (-5)/(-25).
4
Suppose 8*p - 3*p - 4*t = 9430, -3785 = -2*p - t. Suppose 0 = z + 9*z - p. Calculate the remainder when z is divided by 24.
21
Suppose 5*l + 28 = -2*u, -u + l + 2*l + 8 = 0. Let t(z) = -z**2 - z + 1. Let w be t(u). Let p(g) = -g - 7. Calculate the remainder when 13 is divided by p(w).
1
Let z(a) = a + 21. Calculate the remainder when 129 is divided by z(-11).
9
Calculate the remainder when 9 is divided by (5 - 4)/((-2)/(-12)).
3
Let g(q) = 14*q**2 - 140*q + 22. Calculate the remainder when 238 is divided by g(10).
18
Let t be ((-186)/(-9))/((-3)/9). Let r = t - -74. Calculate the remainder when 18 is divided by r.
6
Suppose 3*p - 12 = 0, 3*b - 4 = b + p. Let t be (-1)/(-4)*b - -3. Suppose 2*d = t*x - 58, 8*d = 4*x + 3*d - 67. Calculate the remainder when 49 is divided by x.
10
Suppose -13 = 3*m - 2*k, 2*k = -5*m - 3 + 8. Let c be (m + -80 + 3)/(-2). Suppose 0*x = -x + y + 63, c = x + 5*y. What is the remainder when x is divided by 15?
14
Suppose 0 = -5*j + m + 374, -2*j + 228 = j + 3*m. Suppose -3*n + 51 = -3*l, 3 = -3*l + 12. What is the remainder when j is divided by n?
15
Let k(r) = -r**3 + 49*r**2 - 90*r - 147. What is the remainder when 245 is divided by k(47)?
40
What is the remainder when 39 - (26/(-6) - 40/(-30)) is divided by 13?
3
Let k = 12 + 17. Let m = 44 - k. What is the remainder when m is divided by 8?
7
Suppose 5*g = 317 - 47. Suppose v - 5*f - 275 = 0, -2*v + 205 + 335 = -5*f. Let c = v - 246. Calculate the remainder when g is divided by c.
16
Suppose 468 = 14*o - 8*o. What is the remainder when o is divided by 20?
18
Let z(r) = 3*r**2 - 2*r - 2. Suppose -124 = -2*h + 4*l, -3*h + 6*l + 198 = 4*l. Calculate the remainder when h is divided by z(-2).
12
Let x = 296 - 277. What is the remainder when 56 is divided by x?
18
Let i = 302 + -209. Suppose -3*n + 9 = -i. Calculate the remainder when n is divided by 864/(-64)*(-2)/3.
7
Suppose 0 = -5*g - 3*m + 16, -5*m + 2*m = 9. Calculate the remainder when 6/(12/62) - -4 is divided by g.
0
Calculate the remainder when 276 is divided by 7/((-15)/8 + 2).
52
Let l be ((-3)/(-6))/((-1)/(-22)). Suppose -o - w + 6 = 0, 5*o - 2*w - l = 5. Calculate the remainder when 9 is divided by o.
1
Let i = -18 + 21. Suppose -6*m - 14 = -r - i*m, 4*r - 28 = 5*m. Suppose -r*f = -f - 16. Calculate the remainder when f is divided by 6.
4
What is the remainder when 378 is divided by 8/1*(-1653)/(-348)?
36
Let f(m) = -m**3 + 5*m**2 - 3*m - 6. Let d be f(4). Let b = 19 + d. Suppose -5 = 5*a, -4*r - 4*a + 27 = -97. Calculate the remainder when r is divided by b.
15
Suppose 2*v = 42 + 24. What is the remainder when (-17)/(-3)*v/11 is divided by 4/6 + 13/3?
2
Let s(i) = 2*i**2 - 6*i - 10. Let t be s(6). Calculate the remainder when ((-9)/12)/((-2)/96) is divided by 21/(-14)*t/(-3).
10
Suppose 4*f = 10 + 2. Suppose 2 = 3*v + 5*a, 4*v - v = -f*a. Let b = 30 - v. Calculate the remainder when b is divided by 11.
9
Let m(b) = 3*b**2 + 4*b - 1. What is the remainder when m(2) is divided by 8?
3
Let a(r) = -3*r**2 + 9*r + 2*r**2 + 13*r - 2*r - 36. What is the remainder when a(17) is divided by 5?
0
Suppose 23*d - 911 = 515. Calculate the remainder when 990 is divided by d.
60
Suppose -24*c + 35*c = 77. What is the remainder when c is divided by -10*1*(-2)/4?
2
Let p(o) = -o**3 - 27*o**2 + 26*o - 37. Calculate the remainder when 455 is divided by p(-28).
18
Suppose 2*q - 530 = -2*j, -j + 256 - 1 = -q. Suppose -5*k - b + j = 0, 5*k - 260 = 5*b - 3*b. Let n = k + -22. What is the remainder when n is divided by 8?
6
Let t(g) = -g**2 - 11*g - 20. Let q be t(-9). Let o(v) = -3*v**3 + v + 2. Calculate the remainder when 93 is divided by o(q).
21
Let g = 2035 - 2001. Calculate the remainder when 676 is divided by g.
30
Suppose 0 = -4*m + 2*m + 84. Calculate the remainder when m is divided by 2.
0
Suppose 260 = 930*k - 925*k. What is the remainder when k is divided by 3?
1
Let v = -9 - -12. Suppose 27*c - 26*c = v. Calculate the remainder when (-2 - (-36)/10)*5 is divided by c.
2
Let w(d) = d**2 + 4*d + 3. Let y be w(-4). Suppose -y*c + 105 = 2*c. Let q(n) = -2*n - 1. What is the remainder when c is divided by q(-6)?
10
Let t = -4 + 18. Let p be ((-9)/15)/(20/25)*-4. Suppose -20 - 7 = -p*h. Calculate the remainder when t is divided by h.
5
Suppose 0 = 3*g - 3*q - 69, 56 = 3*g + q - 33. Suppose r = -2*r - 2*n + 63, -r = 3*n - g. Let v = 77 + -66. Calculate the remainder when r is divided by v.
8
Suppose 0 = -2*s - 0*s - 2*u + 98, 4*u = s - 29. Calculate the remainder when s is divided by 9.
0
Let i = 64 - 37. Let q = 43 - i. What is the remainder when 23 is divided by q?
7
Calculate the remainder when 6916/40 - (-11)/110 is divided by 8.
5
Suppose 25*r = 28*r - 9. Let f(a) = -6*a**2 + 11 - 4*a + r*a**2 + 2*a**2 - 8*a. What is the remainder when f(-10) is divided by 12?
7
Let f(d) be the third derivative of 1/12*d**5 + 0*d**4 + 4*d**2 + 1/3*d**3 - 1/120*d**6 + 0 + 0*d. What is the remainder when 3 is divided by f(5)?
1
Let i(s) = -5*s - 1. Let j(u) = -6*u - 1. Let k(d) = -3*i(d) + 4*j(d). Calculate the remainder when k(-6) is divided by 9.
8
Let y = -1161 - -1243. What is the remainder when 732 is divided by y?
76
Let m = 171 - 96. Suppose s = 6*s - m. What is the remainder when 42 is divided by s?
12
Let j = 151 + -142. Suppose -j*x = -1047 - 483. What is the remainder when x is divided by 57?
56
Let h(r) = -r**3 + 2*r**2 + 2*r - 2. Suppose 4*a = 3*b + 14, -5*a + 12 + 19 = 3*b. What is the remainder when 2 is divided by h(b)?
0
Suppose -2*n = -4*n. Let i be (n*3/9)/(-2). Suppose 89 = 5*k + w - 162, 2*k + 4*w - 86 = i. Calculate the remainder when k is divided by 27.
24
Suppose -65*p + 72*p = 245. Calculate the remainder when 200 is divided by p.
25
Let m = 322 + -216. Let y = m - 103. Calculate the remainder when 4 is divided by y.
1
Suppose 327*l - 330*l = -195. Calculate the remainder when l is divided by 19.
8
Suppose 154 = -0*p + 7*p. Let r(w) = -2*w + 47. What is the remainder when 8 is divided by r(p)?
2
Let b(v) = 5*v - 20. Let m(z) = -2*z + 7. Let c be m(0). Let k = 88 + -48. Calculate the remainder when k is divided by b(c).
10
Suppose -2*z = -4*v + 26 - 4, 4*v + 5*z = 57. Suppose 0 = 5*k - v*k + 27. Let s = -304 + 328. What is the remainder when s is divided by k?
6
Suppose 0 = 68*r - 64*r - 212. Suppose -4*d + 66 = -2*c, -2*d = d + 5*c - 17. Calculate the remainder when r is divided by d.
11
Suppose -y + 3 = -2. Let k = -82 + 110. Suppose 0 = 4*c - z - 25, -2*c - 3*z + 37 = k. Calculate the remainder when c is divided by y.
1
Suppose -7*l + 11*l = 152. Suppose -3*j + m + 46 = 0, 0 = -j + 3*j + 3*m - l. Suppose -243 = -3*h - 63. What is the remainder when h is divided by j?
12
Let l be 2293 - 2/5*20/(-4). What is the remainder when (-4)/14 + l/21 is divided by 16?
13
Let r = 19 + -17. Let c(h) = -4 + 11 - h**r - h**3 + 0 + h. Calculate the remainder when c(-3) is divided by 8.
6
Suppose -6370 = -53*l - 1017. What is the remainder when l is divided by 255/5*2/3?
33
Suppose 0*q = -3*q + 3*h, 0 = -2*q 