 by 31?
15
Suppose 0 = -s + 5*a - 0 - 9, 3*s - 24 = -2*a. Calculate the remainder when 43 is divided by s.
1
Suppose l - 2*y = -4*l + 118, 0 = -3*l + 4*y + 82. Let n be 14/6 - (-6)/9. Suppose -h + 11 = n. What is the remainder when l is divided by h?
6
Let p = 3733 - 3724. Suppose -10 = 2*o + 3*o. Let q(a) = -12*a + 2. What is the remainder when q(o) is divided by p?
8
Let o = -89 + 124. Suppose -43*m = -67*m - 82*m + 424. What is the remainder when o is divided by m?
3
Suppose -5*s - i = -45, 44 - 7 = 4*s + i. What is the remainder when 24 + 2 + -3 + s is divided by 7?
3
What is the remainder when (-6220)/4*(24/(-10) + 2) is divided by 24?
22
Suppose 2*d + 4*n = 4*d - 284, -5*d - n + 743 = 0. Let p = 160 - d. Calculate the remainder when 22 is divided by p.
10
Suppose -6*m - 3*m + 36 = 0. Suppose m*h = -5*c + 57, -5*h + 8 = -7. Suppose -2*q + 22 = 3*f - 56, 3*q = 0. Calculate the remainder when f is divided by c.
8
Let r(y) = 26*y**3 + 2*y**2 - 3*y + 2. Suppose 0 = -12*o + 16*o - 4. Calculate the remainder when 133 is divided by r(o).
25
Suppose 274*w - 268*w - 210 = 0. Calculate the remainder when 379 is divided by w.
29
Let g = 8 - 38. Let k = g + 38. Calculate the remainder when k is divided by 2.
0
Let a = 177 + -159. Calculate the remainder when 29 is divided by a.
11
Let n = 12 + -10. Suppose -n*r - r = 24. Let s(k) = -8*k + 15. Calculate the remainder when s(r) is divided by 27.
25
Suppose 5*p - 5*c = 250, -p + 5*c = p - 94. What is the remainder when p is divided by 28?
24
Let d = 458 - 334. Calculate the remainder when 743 is divided by d.
123
Let a(d) = 2*d - 5. Let s(y) = -y + 3. Let b(v) = -5*a(v) - 7*s(v). Let j = 112 - 63. Calculate the remainder when j is divided by b(-3).
10
Suppose 0 = t + 2*a - 0*a - 31, -4 = 4*a. Calculate the remainder when t is divided by 4.
1
Let o(p) = p**3 - 2*p**2 - 29*p - 16. What is the remainder when 40 is divided by o(7)?
14
Suppose -3*b + s = -1648, 6*b - 3*b - 1646 = 2*s. Suppose a - 233 = -5*y + 301, -5*y = 5*a - b. Calculate the remainder when y is divided by 27.
25
Suppose 1135*x - 160 = 1127*x. What is the remainder when 78 is divided by x?
18
Let w = 29 + -54. Let q = 58 + w. What is the remainder when q is divided by 17?
16
Let g be ((-6)/4)/(1/(-12)). Suppose m - 3*m = -g. Calculate the remainder when (-6)/10 - (-390)/25 is divided by m.
6
Let z = 499 - 423. Let r be (-4)/12 + 4/3. Let a(t) = 27*t**3 - t**2 + t - 1. What is the remainder when z is divided by a(r)?
24
Let z = -26 - -31. Suppose z*m = 5*p + 30, -5 = -4*m + 2*p + 21. What is the remainder when m is divided by 2?
1
Suppose 3*f - 4*f = 0. Let s(q) = -q + 10. Calculate the remainder when 38 is divided by s(f).
8
What is the remainder when 740 is divided by (-839)/(-9) - 24/108?
89
Let s = -3 - -7. Let k(i) = -i**2 + 68*i + 225. Calculate the remainder when k(-3) is divided by s.
0
Let w(o) = o**3 - 5*o**2 - 16*o - 7. Let f be 3 - (4/(-6))/(2/15). Let u = 12 + 3. What is the remainder when w(f) is divided by u?
12
Let k be ((-6)/5)/(36/90). Let b = 9 - 24. Calculate the remainder when 18 is divided by k/(b/(-5)) - -6.
3
Let m(c) = 21*c - 39. Calculate the remainder when m(8) is divided by 40.
9
Suppose z - 8837 + 2730 = 0. Suppose 5*w - 3331 = 3*g, 3*w = -5*g + 612 - z. What is the remainder when 4/(-18) - g/18 is divided by 21?
19
Let i be (414/12)/(3/14). Suppose -4*t - i = -11*t. Calculate the remainder when 76 is divided by t.
7
Let b(w) = w**2 + 2*w - 9. Suppose 3*h - 455 = 2*r, 3*h - 3*r + 450 = 6*h. Calculate the remainder when h is divided by b(-8).
34
Let m = -1144 + 1286. Calculate the remainder when m is divided by 15.
7
Let q(g) = g + 10. Let v(p) be the second derivative of -p**3/2 + 15*p**2/2 + 8*p. Let m be v(8). What is the remainder when q(m) is divided by 1?
0
Let z = 170 + -34. Suppose j - 86 = -j - 5*n, 4*j - z = -n. What is the remainder when 96 is divided by j?
30
Suppose 138*l = 179*l - 410. Let t(p) = -p**2 + 8*p - 3. Calculate the remainder when l is divided by t(7).
2
Let v(z) = -2*z + 6. What is the remainder when (-1524)/(-51) - (2 - 36/17) is divided by v(-5)?
14
Suppose -11*m + 190 = -6*m. Suppose -2*j = -m - 6. Calculate the remainder when j is divided by 19.
3
Suppose 0 = -2*u + 2, 0*u = r - 2*u - 24. Calculate the remainder when (16/24)/(9/((-19089)/(-14))) is divided by r.
23
Let s be (-4)/(16/(-36)) - 3. Let g(z) = -8*z + 4 - 3*z + 2*z**2 + 1. What is the remainder when 54 is divided by g(s)?
10
Suppose 0 = -5*v - 5*l + 50, 0 = -0*v + 2*v - 4*l - 8. Calculate the remainder when 22 is divided by v.
6
Let b = 2492 - 2440. Calculate the remainder when 717 is divided by b.
41
Let h(q) be the first derivative of -q**3/3 - 4*q**2 + 10*q - 1. Let x = 1 - 9. Calculate the remainder when 17 is divided by h(x).
7
Let o(i) = 3*i - 9. Let c be o(3). Suppose c = r - 3*s - 5, 2*r = -4*s + 2*s + 34. Calculate the remainder when 67 is divided by r.
11
Let g = 129 + -101. Calculate the remainder when 1 + 7/(14/220) is divided by g.
27
Let l = 51 + -46. Suppose 5*i = l*b - 0 + 60, -3*i + 32 = -4*b. Calculate the remainder when i is divided by 6.
4
Suppose -6*s + 521 = 119. Suppose 0 = l - c - 4*c - s, 5*l = -c + 413. Calculate the remainder when l is divided by 21.
19
Let j(m) be the first derivative of -2 - 4*m + 7*m - 2*m - 7*m**2. Calculate the remainder when j(-3) is divided by 11.
10
Let r be (-3)/(2*(-9)/132). Suppose 20*s + r = 22*s. What is the remainder when 30 is divided by s?
8
Let w = 62 + -42. Let g(m) = m**3 - 4*m**2 + 3*m - 4. Let o be (-4)/(-2*(-2)/(-4)). Calculate the remainder when w is divided by g(o).
4
Suppose -400 = -4*q + 232. Calculate the remainder when q is divided by 80.
78
Let h(q) = q**2 - q - 2. Let f be -12*(-1 - (3 + -3)). Suppose -3*k + f = k. Calculate the remainder when 11 is divided by h(k).
3
Let z = -1352 - -2592. What is the remainder when z is divided by 17?
16
Suppose 3163 = 15*c + 73. Let p = c - 76. Calculate the remainder when p is divided by 44.
42
Calculate the remainder when 12032/208 + (-2)/(-13) is divided by 15.
13
Suppose -5*i + 76 = 3*p, 5*p - 16 + 6 = 0. What is the remainder when 571 is divided by i?
11
Suppose -2*k + 102 = -4*j - 2*j, j - 81 = -2*k. What is the remainder when k is divided by 19?
4
Let p(d) = -7*d - 20. Let q be p(-5). What is the remainder when 1292/q + 20/(-150) is divided by 15?
11
Calculate the remainder when 809 is divided by (20 - (38 + -18)) + 45 + 0.
44
Let c(g) = -33*g + 73. Calculate the remainder when 15 is divided by c(2).
1
Let p = -193 - -231. Calculate the remainder when 74 is divided by p.
36
What is the remainder when 3*25/15 + (3 - -152) is divided by 17?
7
Let v = 61 - 55. Calculate the remainder when 199 is divided by v.
1
Let w(u) = -u - 9. Let h be w(-5). Let m(k) = k**3 + 3*k**2 - 6*k - 3. Let c be m(h). Let l = c - -5. Calculate the remainder when l is divided by 3.
1
Let d(h) = h - 5. Let y be d(3). Let b be (-30)/(y/(-2 - 0)). Let w = 61 + b. Calculate the remainder when 121 is divided by w.
28
Suppose 4*b - 9*b + 15 = 0. Suppose -2*u - 127 = -b*z + 2*u, 4*z = 2*u + 166. What is the remainder when z is divided by 30/(-4)*(-2)/1?
11
Suppose 0 = 4*z - o - 2, z + 3*o - 5 = 2*z. Let m = z + 7. Suppose 0*w + 34 = 2*w + 2*u, 0 = -2*w + 4*u + 10. What is the remainder when w is divided by m?
5
Suppose 0 = -4*g + 5*d + 566, -3*g + 8*d - 11*d + 411 = 0. Calculate the remainder when g is divided by 123.
16
Let c be 4/(-10)*(3 + 3 - -9). Calculate the remainder when 9 is divided by 15/3 - 6/c.
3
Suppose 4*i + 32 = 4*q + 88, 3*i = 2*q + 44. Suppose 14 = -a + 3*a. Calculate the remainder when i is divided by a.
2
Let g(p) = -27*p**3 + p**2 - p - 2. Let k = -9 + 12. Let a be (-2)/k + 3/(-9). What is the remainder when g(a) is divided by 10?
7
Suppose -23*f + 31*f - 56 = 0. What is the remainder when 11 is divided by f?
4
Suppose u = 3*c - 110 - 18, -c + 5*u + 52 = 0. What is the remainder when c is divided by 12?
6
What is the remainder when 690 is divided by (64 + -85)*-1*(1 + 0)?
18
Suppose 2 + 0 = 2*m. Let n be 25 + (-1 - -2)*m. Suppose -3*w + n = -w. What is the remainder when 36 is divided by w?
10
Let l(x) = -x - 5. Let r be l(10). Let c(q) = q**3 + 15*q**2 - 2*q - 13. What is the remainder when 33 is divided by c(r)?
1