the remainder when a(-9) is divided by 15?
5
Suppose -3*v + 0 = -9. Suppose -53 = -5*h - 3*j + 41, 77 = 4*h + v*j. What is the remainder when h is divided by 6?
5
Let v(r) = -26*r - 16. Let x(p) = 9*p + 5. Let u(m) = 6*v(m) + 17*x(m). Suppose j = 3 - 11. What is the remainder when 50 is divided by u(j)?
11
Suppose 0 = -35*i + 33713 + 9372. What is the remainder when i is divided by 22?
21
Let u(o) = -2*o + 4. Let a = 11 - 7. Suppose 3*t = -a*d + 176 - 4, -2*t = -4*d - 88. What is the remainder when t is divided by u(-7)?
16
Suppose 4*z + 5*u - 2055 = 0, 5*z = -2*u - 452 + 3008. Calculate the remainder when z is divided by 169.
3
Let l = -855 + 938. Calculate the remainder when l is divided by 30.
23
Let s = -77 + 123. Let b = s + -42. Calculate the remainder when 14 is divided by b.
2
Suppose 0 = -2*l - 2 + 4, l + 1249 = 5*r. Calculate the remainder when r is divided by 18.
16
Suppose 4*v - v - 33 = 0. Let b be (0/(3 + -5))/(-3). Suppose -3*g + 12 = b, 3*r + r - g - 76 = 0. Calculate the remainder when r is divided by v.
9
Let z(n) = -2*n**2 - 50*n - 206. What is the remainder when 2373 is divided by z(-19)?
19
Let d(p) = 3*p**2 + 9. Let g(u) = -31*u**3 - u - 1. Calculate the remainder when d(4) is divided by g(-1).
26
Let o(j) = j + 33. Let i(n) = n**3 + n**2 + 27. Calculate the remainder when i(0) is divided by o(-26).
6
Suppose 54*z = 12*z + 1134. What is the remainder when 75 is divided by z?
21
Let p(r) = 7*r**2 - 17*r + 10. Calculate the remainder when p(3) is divided by 20.
2
Let r = 11 + 2. Suppose 4*q - 3*u - 5 = 0, -q - u = -2*q. Suppose 2*n = w + 7, -n = -4*w + 2 + q. What is the remainder when r is divided by n?
3
Suppose 5*b + 9 = -6*t + 10*t, 0 = 2*t + 2*b. Calculate the remainder when (-1 - -1)/(-1) + 2 is divided by t.
0
Suppose 23*d = 26*d - 99. What is the remainder when d is divided by 20?
13
Calculate the remainder when 314/6 - 3*(-8)/36 is divided by 42.
11
Suppose -4*z + 674 = 2*t, 0 = -5*z - 29*t + 24*t + 830. Calculate the remainder when z is divided by 48.
27
Let g = 2 - 59. Let l = 82 + g. Calculate the remainder when 96 is divided by l.
21
Let g(h) = 10*h - 115. Calculate the remainder when 70 is divided by g(13).
10
Let j be 6*1*10/15. Suppose 4*c = -4, 3*c - 55 = -j*h + 6*c. Calculate the remainder when 50 is divided by h.
11
Suppose 12*i - 13*i = 29. Let z = i - -30. What is the remainder when z is divided by 1?
0
Let b = -12 + 14. Suppose -4*d = -b*l - 11 - 1, -25 = -d - 5*l. Suppose 18 = d*t - 42. What is the remainder when t is divided by 7?
5
Let s(f) = -f**3 + 4*f**2 + 6*f - 1. Let p be s(5). Suppose -t + 19 = -0*c - p*c, 2*c = -4. Suppose -5 - t = -q. Calculate the remainder when q is divided by 9.
7
Let u(t) = 5*t + 82. What is the remainder when 125 is divided by u(-3)?
58
Suppose -22*u + 1668 = -10*u. Suppose -2*i + 1 = -u. Calculate the remainder when i is divided by 9.
7
Let b be -1 + 4/((-8)/(-14)). Let x(d) be the first derivative of -d**4/4 + 7*d**3/3 + d**2 + d + 15. Calculate the remainder when x(b) is divided by 13.
10
Suppose -5*j = -4*j - 4. Calculate the remainder when 103 is divided by j.
3
Let h = -122 - -119. What is the remainder when 113 is divided by -4 + (28 - h) + 2?
26
Calculate the remainder when 21 is divided by ((-4)/11)/((-62)/341).
1
Suppose -g - 3*j = -j - 15, -j = 1. Suppose 0*t + 1215 = 9*t. What is the remainder when t is divided by g?
16
Let v = -1360 - -1400. What is the remainder when 719 is divided by v?
39
Suppose -3*x - 19 = i + 2, 5*i + 89 = x. Let n = i - -104. Calculate the remainder when n is divided by 11.
9
Let o(t) = t**2 - 21*t + 164. Calculate the remainder when o(12) is divided by 31.
25
Suppose -5*s - c = -4*s - 22, 3*s - 3*c - 60 = 0. Calculate the remainder when 80 is divided by s.
17
Calculate the remainder when 3 - ((-975)/117)/((-1)/(-21)) is divided by 46.
40
Suppose 2*f - 187 = 2*s - 21, -4*f - 2*s + 350 = 0. What is the remainder when f is divided by 46?
40
Suppose -2*w + 5*m = -618, -w + 11*m - 14*m + 309 = 0. What is the remainder when w is divided by 106?
97
Let m(j) = -j + 6. Let f be m(3). Suppose -q = -2*a - 17, -5*q - f*a = -28 - 18. What is the remainder when 24 is divided by q?
2
Let r be (21/(-9) + 2)*-12. Suppose 0 = r*a - 4*k - 408, 0*k = -4*a - 5*k + 372. Calculate the remainder when a is divided by 10.
8
Let c = -73 - -162. Let t = -13 + 22. Calculate the remainder when c is divided by t.
8
Let q(l) = 3*l**2 - 27. Calculate the remainder when q(5) is divided by 63/5 + (-10)/(-25).
9
Let m be (-135)/(-18) + (-3)/2. Let w(j) = j**2 - 5*j + 3. Calculate the remainder when 80 is divided by w(m).
8
Let s be (-4)/(-22) - 4/22. Suppose 0 = 4*h + 5*a - 19 - 28, -5*h - 2*a + 63 = s. Calculate the remainder when 38 is divided by h.
12
What is the remainder when 381 is divided by (1/(-3))/(-3 - (-4600)/1536)?
61
Let d(i) = 1 + 2 + 0*i**2 - 7*i**2 - 4. Let t be d(-1). What is the remainder when 77 is divided by 2/8 - 158/t?
17
What is the remainder when (-477)/(-2)*(110/(-15))/(-11) is divided by 32?
31
Let p(z) = 12*z**3 - 17*z**2 + 23*z + 21. Calculate the remainder when p(6) is divided by 126.
123
Suppose 5*q - 5 - 3 = 3*o, 4*o - 4*q = 0. Suppose -7*p - 10 = -2*p, -o*p = -z + 18. Calculate the remainder when 118 is divided by z.
8
Suppose 0 = 5*l + 98 - 413. Suppose j + 5*u - 17 = 0, 4*j - 36 = -4*u - 0*u. Suppose 2*v + 80 = j*v. Calculate the remainder when l is divided by v.
15
Suppose -2*r - 3*z = -12, 11*r - 30 = 6*r + z. Calculate the remainder when 49 is divided by r.
1
Suppose -10*t + 34 = -176. Suppose 49 + t = 7*l. What is the remainder when l is divided by 7?
3
Suppose 0 = b + b. Suppose 3*f + b*f = 12. Suppose -f*r = -9*r + 75. What is the remainder when r is divided by 4?
3
Suppose -3*m = -2*p + 3 - 49, 0 = 2*m - p - 29. Suppose 8*b + 36 = m*b. Calculate the remainder when 22 is divided by b.
4
Let q be (-12)/(-18) - 4/(-6)*-1. Suppose -2*k - 2*y = -q*k - 12, 0 = -3*y - 6. What is the remainder when k is divided by 3?
2
Suppose -w - 2*w - 3*v - 63 = 0, 5*v + 25 = 0. Let r = -6 - w. What is the remainder when 39 is divided by r?
9
Let d = -6 + 15. Suppose -10 = -o + 4*l, 3*o - 4*l - l = d. What is the remainder when (-4)/o + 50 + -5 is divided by 10?
7
Let o be -1 + 4 + 1 + 0. Suppose o*t = -d - d + 40, 5*d + 4*t = 94. Calculate the remainder when 34 is divided by d.
16
Let y = -450 + 464. Calculate the remainder when 571 is divided by y.
11
Let g(q) = -7*q + 3. Let r(u) = 2*u**3 + 11*u**2 - 7*u - 8. Let f be r(-6). Let k be g(f). What is the remainder when 3 is divided by (-34)/k*(-2)/4?
0
Suppose 7*h + 2*k = 3*h + 208, 3*h - 4*k - 145 = 0. Calculate the remainder when h is divided by 18.
15
Let b(x) = 3*x - 7. Let u = 220 + -190. What is the remainder when u is divided by b(5)?
6
Suppose 0*k - o = -5*k + 97, -2*o = 4*k - 86. Let r(s) = 10*s + 1. What is the remainder when r(7) is divided by k?
11
Let n be -1 + 18 + (4 - 3). What is the remainder when 47 is divided by (23 - n) + 19/1?
23
Let l(d) = -d**3 + 8*d**2 + 3*d + 9. Calculate the remainder when l(8) is divided by 23.
10
Let f = 14 + -8. Suppose -4*g = 16, -g = -2*p + f*p - 4. Suppose b + p - 8 = 0. Calculate the remainder when 21 is divided by b.
3
Suppose -6*m - 61 = -5*f - 5*m, 3*f - 31 = -5*m. Let i(j) = -j + 5. Let l be i(4). What is the remainder when 8*((-30)/(-8) - l) is divided by f?
10
Let u(f) = 2*f**2 + 23*f + 115. What is the remainder when 216 is divided by u(-11)?
8
Suppose -5*c + 2*c + 6 = 0. Suppose 428 = 2*o + 414. Calculate the remainder when o is divided by c.
1
Suppose 775 = 5*y + 5*q, 17*y = 19*y - q - 304. What is the remainder when y is divided by 44?
21
Let v = 604 + -518. What is the remainder when 772 is divided by v?
84
Suppose 6 = -3*b - 12. Let i = b + 62. Calculate the remainder when i is divided by 15.
11
Let s = -11 + 14. Suppose -9 = -s*k + 12. Calculate the remainder when 13 is divided by k.
6
Suppose 3*s - 2*r = 8 + 10, -3*r = s + 5. Suppose -w + s*w - 102 = 0. Let o = 25 - 13. What is the remainder when w is divided by o?
10
Suppose 5*g + 3*m - 183 = 322, -4*m = 3*g - 292. Suppose -g = -2*o + 228. Suppose o = 3*c - 83. Calculate the remainder when c is divided by 28.
27
Let m = -66 - -37. Let q = -15 - m. Calculate the remainder when 39 