 by s?
7
Suppose -2*p + 5*p = -3. Let u = p + 7. Calculate the remainder when 17 is divided by u.
5
Let d = 13 + -8. Suppose 51 = d*m - 34. Calculate the remainder when 47 is divided by m.
13
Suppose 0 = c + 2*d - 42, -5*d = 2*c - 2*d - 89. Calculate the remainder when c is divided by 27.
25
Suppose -3*r = -0*r - 15. Suppose 0 = 15*y - 18*y + 6. What is the remainder when r is divided by y?
1
Suppose -49 = -5*x + s, 0 = -0*x - 2*x + 2*s + 26. Let a = 10 + 16. What is the remainder when a is divided by x?
8
Let t(x) = 19*x**2 + 1. Let l be t(-1). Let w be (4/10)/(2/l). Suppose -3*k + 12 = 0, -w*k + 20 = c - 59. Calculate the remainder when c is divided by 16.
15
Let u(n) = -2*n**3 - n**2 - 1. Let j = -5 - -10. Suppose -5*t - 2*g = -24, -j*t + 14 = -3*t + 3*g. Calculate the remainder when u(-2) is divided by t.
3
Let f(r) = -3*r. Let j be f(-7). What is the remainder when 28 is divided by 4/(-14) - (-321)/j?
13
Calculate the remainder when 27 is divided by (14/(-3))/((-36)/54).
6
Calculate the remainder when ((-12)/(-10))/(2/55) is divided by 18.
15
Suppose 4 = -3*h + h. What is the remainder when 37 is divided by 18/2 - (1 + h)?
7
Suppose 5*u - 113 = -3*i, -48 = -2*u - 0*i - 4*i. Let j = 35 - u. Let y(z) = z**3 - z**2 + z - 1. Calculate the remainder when y(4) is divided by j.
12
Calculate the remainder when 104 is divided by -5 + (-192 - 0)/(-6).
23
Suppose 140 = 7*a - 427. What is the remainder when a is divided by 22?
15
Let a(h) = -h**3 - 7*h**2 - 9*h - 7. Let s be a(-6). Let l = s - 1. Calculate the remainder when l is divided by 6.
4
Let f = 5 + 0. Suppose q - 1 = 7. What is the remainder when q is divided by f?
3
Let a = -25 + 15. Let h be (a/4)/((-5)/(-10)). Let q = 2 - h. What is the remainder when q is divided by 3?
1
Suppose -4*h + 12 = -3*h. Calculate the remainder when 57 is divided by h.
9
Suppose -155 = -3*s - 2*s. Suppose -2*g = 4*z - 52, z + 33 = 3*g - 2*z. Calculate the remainder when s is divided by g.
15
Let j = 194 + -88. What is the remainder when j is divided by 27?
25
Suppose -1 = -h + 45. Let c = -10 + 18. Suppose 0*k - 4*k - c = 0, -2*k + 44 = 4*u. Calculate the remainder when h is divided by u.
10
Suppose 2*s + 277 = 3*n, 19 + 153 = 2*n + 5*s. Calculate the remainder when n is divided by 31.
29
Suppose 3*o + 0*i - 4*i + 10 = 0, -i + 10 = 3*o. What is the remainder when (-19)/(-7) - 2/(-7) is divided by o?
1
Let h(a) = 2*a - 6. Let v be h(4). Suppose -5*p = -g + 2*g - 47, -5*g - v*p = -281. Calculate the remainder when g is divided by 29.
28
Let l = -42 + 46. What is the remainder when 18 is divided by l?
2
Let a = 0 - -30. Suppose 3*f - 9 = a. Let k = 0 + f. Calculate the remainder when 37 is divided by k.
11
What is the remainder when 75 is divided by (-1)/11 - (-1050)/55?
18
Let w = 212 - 114. Let n = 144 - w. Suppose n = 5*v - 34. Calculate the remainder when v is divided by 9.
7
Let p(v) = v**3 - 3*v + 1. Let i be p(2). What is the remainder when (-2 + i/2)*-56 is divided by 10?
8
Let q(s) = -4*s + 7. Calculate the remainder when q(-6) is divided by 11.
9
Suppose 33 = 4*q + 21. Let i be -2 - ((-1 - -1) + -5). Calculate the remainder when 1 - -9 - i/3 is divided by q.
0
Let q = -53 - -70. What is the remainder when 28 is divided by q?
11
Let j be 1/3 + 28/(-12). Let o be (j/(-4))/(8/(-16)). What is the remainder when -23*o/(-4)*-4 is divided by 8?
7
Suppose -4*v - 23 = -9*v + k, 5*v - 4*k - 32 = 0. Let c = 30 - 2. Calculate the remainder when c is divided by (-214)/(-14) - v/14.
13
Let b be (-7)/((-35)/6)*-5. What is the remainder when 1*-2 + (17 - b) is divided by 6?
3
What is the remainder when 23 is divided by ((-72)/6)/(-3 + 2)?
11
Suppose -5*w + 2 = -t, 0*t = 3*w + 3*t - 12. Suppose 0 = s + 2 - 5. Calculate the remainder when s is divided by w.
0
Suppose a = -a - 2. Let x(u) = 8*u**2 - u. Let p be x(a). Calculate the remainder when 20 is divided by -2*2/2 + p.
6
Suppose 6*b - 147 = -b. Calculate the remainder when -1 - 1 - (-86)/2 is divided by b.
20
Let y(u) = -u + 34. What is the remainder when y(8) is divided by 14?
12
Suppose 4*s - 14 = 22. Suppose 2*h = -h - s. What is the remainder when -2 + 2 + h/(-3) is divided by 1?
0
Suppose -4*w - 5*j = -76, -2*w - 2*w + 2*j = -104. Suppose 2*a = -2*a + w. What is the remainder when (51/(-12))/((-2)/8) is divided by a?
5
Let g = 0 + 2. Let r be ((-20)/25)/(g/(-25)). Calculate the remainder when 3 is divided by 8/r*10/4.
1
Let o(b) = 4*b - 8. Calculate the remainder when (-1)/(417/(-138) - -3) is divided by o(8).
22
Let p = -30 + 41. What is the remainder when 24 is divided by p?
2
Suppose 5*r - 2*j - 30 = 0, -5*j - 29 = -2*r + r. Calculate the remainder when 15 is divided by r.
3
Let y = 71 + -66. Calculate the remainder when y is divided by 3.
2
Calculate the remainder when 49 is divided by (-5)/(5/3) - -13.
9
Let l(x) = 41*x**2 + 2*x - 1. What is the remainder when l(1) is divided by 15?
12
Let b be (-2 + 2)/(3 - 2). Suppose b*f + 235 = 5*f. Calculate the remainder when f is divided by 12.
11
Calculate the remainder when ((-354)/(-12))/(-2 - 26/(-12)) is divided by 45.
42
Let q = 6 - 0. Let s = q - -11. Let y(n) = -6*n**3 - n**2 + 1. Calculate the remainder when s is divided by y(-1).
5
Suppose -2*m + 6*m = 348. Suppose -4*h = 27 - m. What is the remainder when 280/12*(-12)/(-10) is divided by h?
13
Suppose -c = -4*k - 59, -2*k + 3*c + 33 = -4*k. What is the remainder when 3/k + 483/15 is divided by 17?
15
Suppose -3*s + 793 = -5*l, 0*l = -4*l - 2*s - 630. Let i be (-4)/(-18) + l/(-18). Suppose -i = -3*u + 42. Calculate the remainder when 49 is divided by u.
15
Let x(m) = m**2 + 9*m + 7. Let l be x(-8). Let u = l - -51. Calculate the remainder when u is divided by 13.
11
Suppose -5*a + 3 = -4*a. Let s = 14 - 2. Suppose 132 - s = a*t. Calculate the remainder when t is divided by 14.
12
Let o(v) = -v**2 - 18*v - 17. What is the remainder when o(-15) is divided by 11?
6
Let o be (-12)/3*(-33)/6. Calculate the remainder when (-4)/o - 519/(-11) is divided by 24.
23
Suppose q - 4*w - 17 + 0 = 0, w = -3. Calculate the remainder when 14 is divided by q.
4
Let k(l) = l**3 + 2*l**2 - 3*l - 3. What is the remainder when 163 is divided by k(3)?
31
Suppose 0 = -3*s + s + 18. What is the remainder when 25 is divided by s?
7
Let q = -27 + 62. Let v(c) = -3*c + c + 5*c**3 + c - 3*c**2 - 2*c**3 + 2. What is the remainder when q is divided by v(2)?
11
Let c(u) = 7*u**3 + u**2 - u. Let n be c(1). Let b = n - -2. What is the remainder when 26 is divided by b?
8
Let p(u) = u**3 + 8*u**2 + 4*u - 10. Calculate the remainder when -1 + 4 + (-8 - -25) is divided by p(-7).
9
Let p = 52 + -23. What is the remainder when 56 is divided by p?
27
What is the remainder when 6 - 8 - 15/(-1) is divided by 7?
6
Let o = 0 + 2. Let d be (-58)/(-18) + o/(-9). Suppose -t = 4*a - 17, d*t - 5*a + 20 = 4*t. What is the remainder when 14 is divided by t?
4
Let k = 52 - 2. Let a(w) = 3*w**2 + 1. What is the remainder when k is divided by a(-2)?
11
Let g(f) = 2*f**2 - 10*f + 7. Suppose t = 5*d + 3*t - 43, 27 = 5*d - 2*t. Calculate the remainder when g(d) is divided by 12.
11
Suppose -95 = -4*z - 35. Let k = -107 + 163. Calculate the remainder when k is divided by (76/6)/(10/z).
18
Suppose 0 - 3 = 3*l. Let k be l + 1 + -5 + 4. Calculate the remainder when 7 is divided by -4*(k + (1 - 1)).
3
Suppose -8 = -4*i, 6 + 10 = 3*g - 4*i. Let v(u) = u**3 + 11*u**2 - 15*u - 7. Let h be v(-12). Let n = h + -14. Calculate the remainder when n is divided by g.
7
Suppose 3*h - 4*h = -10. What is the remainder when 25 is divided by h?
5
Suppose -s + 5 = -1. What is the remainder when s is divided by 5?
1
Let u be (-10)/(-3)*15/2. Let c = u + -4. Calculate the remainder when c is divided by 8.
5
Let s(w) = -w**3 - 5*w**2 + 6*w + 9. Let h be s(-6). Let i = h + -5. What is the remainder when i is divided by 2?
0
Suppose 3*a - 4*n - 60 = 0, -2*a - 2*n = 3*n - 40. Calculate the remainder when a is divided by 11.
9
Suppose 3*b - 65 = -2*q, 3*b - 3*q = -0*q + 90. Calculate the remainder when 98 is divided by b.
23
Suppose 0 = -2*t - a + 6, 2*t = 3*t + 3*a - 13. Let i(z) = -z**3 - 3*z**2 - 3*z - 1. Suppose -2*g + 5*g = -6. What is the remainder when i(g) is divided by t?
0
Calculate the remainder when (-22)/(-8)*(8 - -4) is divi