 Suppose -41*h + 37*h + 13 = -o, 0 = h - 5*o - 27. What is the remainder when g(v) is divided by h?
1
Let b = -3 - -32. What is the remainder when 124 is divided by b?
8
Let m = -651 - -685. What is the remainder when 237 is divided by m?
33
Suppose -r - 4*v - 45 = -6*r, v + 36 = 4*r. Calculate the remainder when r is divided by 6.
3
What is the remainder when 44 is divided by (-11)/132 + (-37)/(-12)?
2
Let f = 43 + -28. Let c(s) = -s**2 - 19*s + 6. Let z be c(-18). Suppose -4*b = 2*n - z, -3*n - 2*n + b + 38 = 0. Calculate the remainder when f is divided by n.
7
Suppose -19*u + 219 = -370. Suppose -5*f = -4*l + 35, -4*f = l - 3 + 10. Suppose 4*x = l*x - 16. What is the remainder when u is divided by x?
15
Let j = -17 - -24. Suppose 81 = 4*s + 5*f, 0*s - 5*s - 5*f + 105 = 0. What is the remainder when s is divided by j?
3
Suppose 5*k - 93 = -33. Let m(q) = 13*q - 7. Let s be m(12). Let r = -104 + s. Calculate the remainder when r is divided by k.
9
Suppose 0 = 2*t + 5*z + 3, 5*t - z = 32 + 28. Calculate the remainder when 802 is divided by t.
10
Suppose -t = -j + 107, j + 0*t - 123 = 5*t. Calculate the remainder when j is divided by 8/(-18) + 1666/63.
25
Suppose -8 + 22 = 5*d + 2*u, 5*d - 26 = 2*u. Suppose d*r - 62 - 66 = 0. Let v(i) = -21*i - 96. What is the remainder when v(-9) is divided by r?
29
Suppose g + j = 6, 0 = -j - 2 + 5. Suppose -4*u + 0 + 69 = -x, u = g*x + 20. What is the remainder when 83 is divided by u?
15
Let y be (-3*1)/((-6)/10). Suppose -40 = -5*f - 4*a, -y*a = 3*f - 2*a - 24. Let w = 21 - f. What is the remainder when 36 is divided by w?
10
Suppose -2*a = -5*a + 117. Suppose -238*n + 216*n = -220. What is the remainder when a is divided by n?
9
Suppose 56 = 2*z + 52. Calculate the remainder when z/9 + 144/81 is divided by 2.
0
Let j(t) be the third derivative of t**5/30 - t**4/6 - 2*t**3 + 2*t**2. Calculate the remainder when 35 is divided by j(5).
17
Let r be ((-20)/(-2 - -3))/(-2). Let b = r - 12. What is the remainder when 6/(-12) + (-35)/b is divided by 9?
8
Let k = -304 + 313. What is the remainder when 26 is divided by k?
8
Let q(s) = 121*s**2 + 11*s - 2. Calculate the remainder when 210 is divided by q(-1).
102
Let x be (-4)/(-6)*(-54)/(-4). Let n be -12 + x - (-1 - 0). Calculate the remainder when 62 is divided by (52/(-8))/(n/4).
10
Let u(i) = i**2 - 3*i - 13. Let g be u(-3). Suppose -g*n + 1223 = s, -2*n + 274 = 2*s - 212. Calculate the remainder when n is divided by 41.
40
Suppose 4*y = -y + 120. Let t(x) = x**2 - 15*x + 82. What is the remainder when t(14) is divided by y?
20
Suppose -5*x = -40 + 15, -x + 597 = 4*w. Calculate the remainder when w is divided by 14.
8
Let m = -1 - -23. Calculate the remainder when 123 is divided by m.
13
Let l = 7893 - 7826. What is the remainder when (-1)/(-2) - (-790)/4 is divided by l?
64
Let p = 188 - 161. Calculate the remainder when 49 is divided by p.
22
Suppose 3*s - 158 - 54 = -o, -s + o = -68. Calculate the remainder when 267 is divided by s.
57
Let y = 8 + -1. Let w(l) = l**3 - 7*l**2 + 3*l - 3. Let b be w(y). Suppose 4*g - b = 6. What is the remainder when 10 is divided by g?
4
Suppose k - p - 84 = 0, 0 = -3*k - k + 5*p + 336. Suppose 2*x - d = 4*x - 42, -k = -4*x - d. Calculate the remainder when 39 is divided by x.
18
Suppose -90 + 437 = 4*q - x, 2*q + 4*x - 178 = 0. Suppose -3*l = -0*l - q. Calculate the remainder when l is divided by 5.
4
Suppose 613 = -3*w - 0*u + u, -u = -4*w - 818. Let q be (-39930)/285 - (-6)/57. Let r = q - w. Calculate the remainder when r is divided by 11.
10
Suppose 18*b - 2044 = -10*b. What is the remainder when b is divided by 321/21 - (-8)/(-28)?
13
Suppose 479 + 912 = 13*r. What is the remainder when 1175 is divided by r?
105
Suppose 0 = -4*v + n + 72, 3*v = n + 21 + 34. What is the remainder when 12/45*3*(47 - 12) is divided by v?
11
Suppose -52*v - 2483 = -56*v - n, 0 = -3*v + n + 1871. Calculate the remainder when v is divided by 26.
24
Suppose -1 = -3*u - 16. Calculate the remainder when (u/2)/((-2)/12) is divided by 4.
3
Let l be (-3417)/(-12) - 2/(-8). Suppose 0*y - 4*f + 102 = 2*y, 0 = 5*y - 5*f - l. Suppose 5 + y = 2*b. Calculate the remainder when b is divided by 8.
6
Suppose v - 9 + 1 = 0. Let u = 26 - 27. Calculate the remainder when (u - (-2)/6)/((-42)/1323) is divided by v.
5
Let c(w) = w**2 - 10*w - 25. Let t be c(11). What is the remainder when 67 is divided by -2*((-4)/(-14) - (-165)/t)?
21
Let g = -3 + 23. Suppose -5 = 5*f - g. What is the remainder when 8 is divided by f?
2
Let r = 18 + 5. What is the remainder when r is divided by 18/(-4)*8/(-3)?
11
Let z(o) = -158*o + 8. Let a be z(-7). Suppose 0 = -2*m - 292 + a. Suppose -m + 3 = -4*r. What is the remainder when r is divided by 26?
24
Suppose -t - 37 = -2*b - b, -t = -b + 13. What is the remainder when 22 is divided by b?
10
Let b be -2*2/(1 - 2). Suppose 0 = 2*t + 2*a - 16, -2*t - b*a + 26 = -0*t. What is the remainder when (-1 + 4)*-1 - -15 is divided by t?
0
Suppose -5*z = -2*t + 37, -z + 0*t - 2*t = 5. Let c be z/21 - 11/3. Let p(f) = f**2 + 2*f - 5. Calculate the remainder when p(c) is divided by 2.
1
Let o(h) = -2*h + 8. Let l be o(3). Suppose 3 = f, -6 = -3*b + b + l*f. Let t(r) = 2*r**2 + 10*r + 9. Calculate the remainder when t(-6) is divided by b.
3
Suppose 4*b + 105 = -5*g, 4*b + g + 14 = -103. Calculate the remainder when 2/(-3 + (-94)/b) is divided by 6.
3
Let t(d) = -882*d**3 - 3*d**2 - 3*d + 1. Calculate the remainder when t(-1) is divided by 68.
67
Suppose 5*y - 68 = -28. Let a = -4 + y. Suppose v - 226 = -0*t - 4*t, v + 230 = a*t. Calculate the remainder when t is divided by 30.
27
Let o(g) = 30*g - 109. Calculate the remainder when 694 is divided by o(5).
38
Suppose 27*g - 150 = 25*g. Calculate the remainder when g is divided by 7.
5
What is the remainder when 11 is divided by (-1)/3 - 24/9*-2?
1
Let d(z) = z**2 + 19*z + 20. Let v be d(-18). Suppose -v*g - g + 54 = 0. What is the remainder when g is divided by 11?
7
What is the remainder when (-3)/15 - (-782)/10 is divided by 185/11 + -1 + (-58)/(-319)?
14
Let f(r) = r + 43. Let u be ((-4)/(-1) - 3)/(1/(-9)). What is the remainder when f(u) is divided by 9?
7
Suppose 4*l - l - 5*y = -123, 2*y = -3*l - 102. Let m be (-1803)/27 + (-6)/27. Let b = l - m. What is the remainder when b is divided by 17?
14
Suppose -10 = -2*j + 2*m + 2, 4*j + 4*m - 64 = 0. Suppose 832 = -14*r + 27*r. What is the remainder when r is divided by j?
9
Suppose 5*u = 8*u + 231. Let c = u + 89. What is the remainder when 142 is divided by c?
10
Let v(n) = 438*n. Let d be v(1). Suppose -q + d = 5*q. Calculate the remainder when q is divided by 38.
35
Let j(s) = -s**3 - 17*s**2 - 30*s + 36. What is the remainder when j(-15) is divided by 7?
1
Suppose -5*t + 38*m = 43*m - 1450, -3*t - 4*m + 869 = 0. What is the remainder when t is divided by 1/(-1)*-1 - -48?
46
Let m = -543 - -560. Calculate the remainder when 230 is divided by m.
9
Let n(d) = -8*d**3 + 4*d**2 + 4*d + 1. Let q(v) = v**2 - 6*v + 7. Let f be q(3). What is the remainder when n(f) is divided by 19?
16
Let f be 525/49 - (-4)/14. Let c(h) = -7*h - 7*h**2 - 3 + 0 + f - h**3. What is the remainder when c(-6) is divided by 5?
4
Let s(w) = w**2 + 5*w + 3. What is the remainder when -3 - 3/(15/(-40)) is divided by s(-5)?
2
Let l(o) = -4*o + 232. Calculate the remainder when 459 is divided by l(29).
111
Let i(u) be the first derivative of -u**3/3 + u**2/2 + 47*u - 9. Calculate the remainder when i(0) is divided by 12.
11
Let f be (-1)/2 - 18/(-4). Suppose -f = -3*l + 59. Let u = 31 - l. Calculate the remainder when u is divided by 6.
4
Calculate the remainder when 1*30*(-4 - 2)/(-3) is divided by 12.
0
Let r(x) = -3*x**2 + 146*x - 174. What is the remainder when r(47) is divided by 8?
5
Suppose -4*j = -3*z - z - 8, 17 = 4*j + 5*z. Suppose -2 - 13 = -j*w. Suppose -w*u = -0*u - 220. What is the remainder when u is divided by 23?
21
Let r(p) = 10*p - 381. What is the remainder when r(43) is divided by 28?
21
Let y(b) = 50*b**2. Suppose -23*u - 1 = -22*u. Suppose 2*z - 6*z + 62 = 3*g, -3*z = 12. What is the remainder when y(u) is divided by g?
24
Let i(o) = -14*o**2 + 29*o - 7. Let d(n) = -5*n**2 + 10*n - 2. Let a(l) = 11*d(l) - 4*i(l). What is the remainder when a(5) is d