- h, 3*h + 44 = 2*x - 6. What is the remainder when i is divided by x?
18
Let p = -484 + 498. What is the remainder when 1553 is divided by p?
13
Let q(h) = -327*h - 483. Calculate the remainder when 673 is divided by q(-2).
160
Suppose 4*s - 2*k + 0*k = 42, -2*s = 4*k - 46. Let g(c) = 2*c. Let n be g(2). Let f = 8 - n. Calculate the remainder when s is divided by f.
1
Let n = 3233 + -3218. Suppose -82 = -0*x - 2*x. What is the remainder when x is divided by n?
11
Let b be 105/15 - (-1 - -5). Suppose -2*l = -b*u - 24, -u - 47 = -3*l - 2*u. Suppose 67 - l = 4*k. What is the remainder when 48 is divided by k?
9
Let h(d) = d**3 + 6*d**2 - 2*d - 5. Let t be h(-4). Suppose -6 + 22 = 2*y. Let p = t - y. What is the remainder when p is divided by 8?
3
Let r be 3 - (1 + -4 - -4). Let v be 1/(r*2/44). Let a = v - 8. What is the remainder when 8 is divided by a?
2
Suppose -3*r = 3*p - 240, -16*r + 15*r + 88 = -3*p. Calculate the remainder when r is divided by 45.
37
Let a = 16361 - 16345. Let y = 142 - 97. What is the remainder when y is divided by a?
13
Suppose -8*a + 32 = -a + 4. Suppose -3*w = -w - 6. What is the remainder when a is divided by w?
1
Let i(m) = -m**2 - 15*m + 22. Let b be i(-11). Let s = 109 - b. Calculate the remainder when 83 is divided by s.
40
Suppose 5*o + 2 = u - 10, -5*o = 5. Suppose -4*k = 16, -18*y - 126 = -23*y - k. Calculate the remainder when y is divided by u.
5
Let o = 1558 + -1528. What is the remainder when 355 is divided by o?
25
Let d(a) = -26*a - 70. What is the remainder when d(-4) is divided by 13?
8
Suppose 0 = -2*k + 2*z + 408, 0*k - 632 = -3*k - 2*z. What is the remainder when k is divided by 15?
13
Let c be (-10)/(-3)*12/8. Suppose 26 - 111 = -c*k. Suppose x + x + 4*t = 10, -5*x + 5*t + 55 = 0. What is the remainder when k is divided by x?
8
Suppose 4*y + 5*h = 1047, -3*y + 301 = h - 487. What is the remainder when y is divided by 47?
28
Let f = 21 + 8. Let v(i) = 55*i**3 + 2*i**2 - i. Calculate the remainder when v(1) is divided by f.
27
Suppose 2*q - 59 = -17. Calculate the remainder when q is divided by -2*((0 - -2) + -3 + -1).
1
What is the remainder when 89 is divided by (-444)/(-45) - (48/90)/(-4)?
9
Suppose -4*v - 357 = 3*v. Let s = v + 75. Suppose 0 = -y - 3*t + 41, -149 = -6*y + 3*y + 4*t. Calculate the remainder when y is divided by s.
23
Suppose 18*w - 17*w - 260 = 0. Calculate the remainder when w is divided by 48.
20
Let h(m) = -2*m**3 - 13*m**2 - m - 10. Let t be h(-7). Suppose -62 = -3*l + t. Let u = 45 - l. Calculate the remainder when 15 is divided by u.
6
Let p = -23 + 54. What is the remainder when p is divided by 16?
15
Let q(f) = 2*f**2 + 3*f - 8. Suppose -h = 5 + 1. Let n be q(h). Let y = -21 + n. What is the remainder when y is divided by 14?
11
Let k = 1 + 5. Let i = 6 - k. Calculate the remainder when (1/(-3) - i)*-201 is divided by 17.
16
Suppose -w - 4*y = 17, 4*y = -5*w + 8*w - 13. Calculate the remainder when (-2)/w - (1 - (-33)/(-3)) is divided by 3.
0
Suppose 15*b = 8*b + 385. What is the remainder when b is divided by 14?
13
Let n be (-214)/(-7) - 24/42. Suppose n = r + 2*v + 3*v, 38 = 5*r - 3*v. What is the remainder when 79 is divided by r?
9
Let r = 1033 - 961. Calculate the remainder when r is divided by 49.
23
Let r(c) = -c**3 - 3*c**2 + c + 54. Let w be r(0). Let a = -38 + w. Calculate the remainder when 111 is divided by a.
15
Let y = 0 + -63. Let f = y - -77. Calculate the remainder when 52 is divided by f.
10
Let r(k) = -2*k - 6. Let t(f) = -2*f**2 + 6*f - 1. Let h be t(4). Calculate the remainder when (-340)/h + 4/18 is divided by r(-8).
8
Let q(w) = 12*w + 414. Calculate the remainder when 174 is divided by q(-27).
84
Let k = 68 + -160. Let b = 122 + k. What is the remainder when 146 is divided by b?
26
Suppose 5 = -8*c + 37. Suppose 9*w - 75 = c*w. Calculate the remainder when w is divided by 4.
3
Let d(r) = 3*r - 15 + 14*r + 17*r**2 + r**3 - 5*r - 4*r**2. Calculate the remainder when d(-11) is divided by 32.
31
Suppose 3*f + f - 92 = 0. Calculate the remainder when (-180)/8*-4 - 1 is divided by f.
20
Let p(n) be the first derivative of n**4/4 + n**3/3 - n**2 - 3*n + 1. Suppose -138 = -4*d - 122. What is the remainder when p(d) is divided by 36?
33
What is the remainder when 505 is divided by (-3)/(18/(-75))*(-252)/(-210)?
10
What is the remainder when (-4 + 28)*(20/12)/5 is divided by 8/(-6)*(-6)/4?
0
Suppose 0 = -4*o + 8*o - 188. Calculate the remainder when 60 is divided by o.
13
Let n(f) = -f**3 + 2*f**2 + 33*f + 8. What is the remainder when 24 is divided by n(-5)?
6
Suppose 13 + 53 = 2*d. Suppose 3*i = d + 15. Let c = 25 - i. What is the remainder when c is divided by 3?
0
Let c(w) = w**3 + 9*w**2 - 12*w - 4. Let a be c(-10). Suppose -z + 5*z = a. Suppose -2 = -6*v + z*v. What is the remainder when 4 is divided by v?
0
Suppose y + 4*o = 365, -2*y - 26*o = -21*o - 742. What is the remainder when y is divided by 16?
13
Let v(p) = -8*p**3 - 2. Let n be (-16)/56 - (-15)/(-21). Calculate the remainder when 35 is divided by v(n).
5
Let i(x) = x**2 + 2*x + 6. Let h be i(-5). Let n = h + -12. Let p = n - 0. Calculate the remainder when 32 is divided by p.
5
Let i = 5 - 5. Suppose -2*p + 7*p + 2100 = i. What is the remainder when p/(-8)*(2 + 0) is divided by 27?
24
What is the remainder when 4/(-10) - (5 - 6385/25) is divided by 23?
20
Let a(t) = 8*t - 3. Let c be a(4). Suppose 2*w - 1 - 7 = 0. Suppose -3*q - 11 = -6*q - w*g, -5*q = -4*g - c. Calculate the remainder when 22 is divided by q.
2
Let d = 102 + -75. Calculate the remainder when 77 is divided by d.
23
Let g be (-72)/60*((-27)/6 + 2). Suppose -5*l + 27 = g*o - 240, 4*l - 3*o = 219. Calculate the remainder when l is divided by 11.
10
Let g be (-121)/(-5) - 7/35. Suppose 5*z - 16 = g. What is the remainder when 36 is divided by z?
4
Suppose -95*d = -91*d + 48. Calculate the remainder when -4 + (-40)/d + (-1255)/(-15) is divided by 29.
25
Suppose 4*a - 3*b + 8 + 0 = 0, 0 = a + b - 5. Calculate the remainder when ((-212)/(-8))/(a/2) is divided by 14.
11
Let w(a) = 3*a**2 - 6*a + 9. Let u be w(2). Let j = 16 - u. Calculate the remainder when 11 is divided by j.
4
Suppose 9*r + 20959 - 21130 = 0. What is the remainder when -3*((-4)/(-2) + -11) is divided by r?
8
Suppose -40 = 6*b - 10*b. Let f be ((-2)/(-3))/((-2)/(-6)). Suppose -x - r = 0, -f*x - r - 8 = -3*x. What is the remainder when b is divided by x?
2
Suppose 22*g - 18*g + x - 17 = 0, 4*x - 35 = -5*g. Calculate the remainder when 65 is divided by g.
2
Suppose -6*x - 349 = -727. Calculate the remainder when 124 is divided by x.
61
Let p(i) = -8*i - 253. Calculate the remainder when p(-45) is divided by 19.
12
Calculate the remainder when (-243)/6*(-80)/15 is divided by 11.
7
Let k(r) = 2*r**2 - 10*r + 20. Let s be k(3). Suppose -19*l + 935 = -s*l. What is the remainder when l is divided by 22?
19
Suppose 0 = 25*f + 88 - 638. What is the remainder when 368 is divided by f?
16
Let n(b) = 6*b + 296. What is the remainder when 215 is divided by n(-40)?
47
Let d = 13 + -17. Calculate the remainder when -2 + (d - (-76)/4) is divided by 4.
1
Let q(t) = 4*t**3 - t**2 + t - 1. Let k be q(1). Suppose 4*b = k*b + 6. Calculate the remainder when 11 is divided by b.
5
Let l = 557 + -265. Calculate the remainder when l is divided by 158.
134
Suppose -4*j = -165 - 55. What is the remainder when (-6)/(-33) - (-3840)/j is divided by 18?
16
Suppose 2*w = -k - 0*k + 119, 61 = w + k. Let r(l) = -l**3 + 9*l**2 + 6*l + 14. Let c be r(10). Let y = 46 + c. What is the remainder when w is divided by y?
18
Let l(c) = c**3 - 9*c**2 + 9*c - 3. Let r be l(8). Suppose u = 2*i - i - r, 2*u = 8. What is the remainder when 52 is divided by i?
7
What is the remainder when 70 is divided by (-12)/(-5)*(-14 + (-344)/(-16))?
16
Let b = 143 - 20. Suppose -2*q + l - 2*l + 46 = 0, -2*q + 34 = -2*l. Calculate the remainder when b is divided by q.
18
Suppose 0 = -8*y - 14 - 106. Calculate the remainder when 235 is divided by 44/3 - (35/y + 3).
11
Let m = 7 - 16. Let j(w) = w**3 - 4*w**2 - w - 6. Calculate the remainder when 227/9 + 2/m is divided by j(5).
11
Suppose j + 2*j = 0. Suppose 3*u - 7 - 36 = -v, j = 2*v + 4*u - 82. What is the remainder when v is divided by 5/30*59 - (-2)/12?
7
Suppose 0 