 is the remainder when v is divided by 10?
6
Suppose -4*y + 7 - 3 = 0. Let s = 4 + -3. Calculate the remainder when y is divided by s.
0
Suppose 5*i - 110 = -2*n, -2*i + n + 13 = -22. Calculate the remainder when 39 is divided by i.
19
Suppose 72 = -0*x + 4*x. Suppose -92 = -5*h + x. Let z(a) = 4*a - 4. What is the remainder when h is divided by z(4)?
10
Let o = -23 - -35. Suppose 4*k - 4 = -o. Calculate the remainder when 40 is divided by 3 + -3 + (19 - k).
19
Suppose 17 = 3*s - 1. Let r = -94 + 134. Let h = r + -23. What is the remainder when h is divided by s?
5
Suppose 2*z + 1 = 4*x + 29, 5*z + x - 26 = 0. Let d(b) = 2*b**3 - 6*b**2 - b + 5. Calculate the remainder when d(4) is divided by z.
3
Suppose -2 = 5*h - 12. Suppose h*s = 4*s - 30. Calculate the remainder when (-87)/(-3) + 1*-1 is divided by s.
13
Suppose 0 = -2*s + 6, 2*a - 5*s + 23 = -0. Let t(d) = -2*d**3 - 5*d**2 + 4*d + 6. Let g = 60 + -40. Calculate the remainder when t(a) is divided by g.
18
Suppose 0 = -4*m + 2*f + 496 - 132, 2*m - 5*f = 174. What is the remainder when m is divided by 35?
22
Let x(z) = -z**3 + 6*z**2 - 5*z + 2. Let b = 0 + 3. Suppose -4*h - 35 + 0 = -b*s, 0 = -5*s - 5*h. Calculate the remainder when x(s) is divided by 1.
0
Let h = 73 + -36. What is the remainder when h is divided by 13?
11
Suppose 6*j - 5*j = 6. Let w(v) be the first derivative of -v**4/4 - 4*v**3/3 - 3*v**2/2 + 4*v + 1. Calculate the remainder when j is divided by w(-3).
2
Suppose 4*z + 17 + 63 = 0. Let d = -4 - z. Let n = -153 - -216. What is the remainder when n is divided by d?
15
Let j be (-2)/(-6) - 106/(-6). Let y = j + 14. Calculate the remainder when y is divided by 938/56 + 1/4*1.
15
Let q = -5 - -25. Let b(l) = -l**3 - 4*l**2 - 4*l - 5. What is the remainder when q is divided by b(-4)?
9
Let k = -97 + 108. What is the remainder when 87 is divided by k?
10
Suppose -912 = -a + 3*a. Calculate the remainder when a/(-10) - (-6)/15 is divided by 12.
10
Suppose j + 3*j - 64 = 0. Suppose 0 = -5*r - 0*r + 150. What is the remainder when r is divided by j?
14
Let k(g) = g**3 - 5*g**2 - 5*g + 13. What is the remainder when 55 is divided by k(6)?
17
Calculate the remainder when 687/15 + (-2)/(-10) is divided by 12.
10
Let p = 171 - 107. What is the remainder when p is divided by 17?
13
Suppose 0*u = 2*u - 4. Let j be (-4)/(8/(-18)) - 4. Suppose j*w + 0*w = 25. What is the remainder when w is divided by u?
1
Suppose 22*l - 20*l - 38 = 0. What is the remainder when 189 is divided by l?
18
Let s = -24 + 42. Calculate the remainder when (6/s)/((-1)/(-213)) is divided by 18.
17
Suppose -i - 5*z = -4*i + 97, -4*i + 3*z = -144. Calculate the remainder when i is divided by 12.
3
Let a(d) = d + 28. Let h(v) = -2*v - 56. Let b(s) = 5*a(s) + 2*h(s). Calculate the remainder when 524/9 - 4/18 is divided by b(-13).
13
Let t = 19 - 13. Calculate the remainder when 22 is divided by t.
4
Let n = 28 + -17. Calculate the remainder when 43 is divided by n.
10
Let w = 154 + -139. Calculate the remainder when ((-53)/(-2) + 1)*2 is divided by w.
10
Suppose 2*l + 1 = t + 10, 0 = l - 3*t - 7. Suppose -5*u = -3*h + 73, -3*h + 2*u + 38 = l*u. What is the remainder when 29 is divided by h?
13
Let l(n) = n**2 + 5*n + 3. Let w be l(-5). Suppose -5*r + 7 = -w. Calculate the remainder when 3 is divided by (2 - 2) + r + 1.
0
Let i(y) = y**2 + y - 4. Let l be i(0). Let g(v) = -14*v - 4. Calculate the remainder when g(l) is divided by 18.
16
Let g(s) = s**2 - 7. Suppose -l - 42 = -4*t - 0*l, -5*l - 10 = 0. Calculate the remainder when g(-5) is divided by t.
8
Let m = -6 + 8. Suppose -2*v + 197 = -0*v - i, m*v + 5*i - 179 = 0. Calculate the remainder when v is divided by 25.
22
Let p(h) = h**2 + 3*h + 6. What is the remainder when p(-6) is divided by 9?
6
Let p = 20 + -4. Let g = 27 - p. What is the remainder when g is divided by 7?
4
Let z be 50/(-8) - (-1)/4. Let t be (5 + -2)/(9/z). What is the remainder when (-25)/t + 4/8 is divided by 5?
3
Calculate the remainder when (-1 + 20)/((-1)/(-1)) is divided by 10.
9
Calculate the remainder when 54 - (-2)/(-6)*9 is divided by 9.
6
Let m(v) = -11*v. Suppose 0 = -4*q + 6*q + 2. Let o = 36 + -15. What is the remainder when o is divided by m(q)?
10
Suppose -3*z = -3*f + 135, -5*f - 92 = -3*z - 311. What is the remainder when f is divided by 9?
6
Suppose 3*b + 9 + 0 = -3*j, 0 = 4*j + 3*b + 11. Calculate the remainder when 28 is divided by (-441)/(-45) - j/10.
8
Suppose h - 12 = -2*a + 53, -2*h - 50 = -2*a. Calculate the remainder when a is divided by 17.
13
Let q = 0 + 0. Let b = q + 27. What is the remainder when b is divided by 7?
6
Let f(b) be the third derivative of b**6/120 + b**5/15 - b**4/6 - b**3/6 + 3*b**2. Calculate the remainder when 59 is divided by f(-4).
14
Let b = 4 - -5. Let l(q) = -2*q**2 - 13*q + 73. What is the remainder when b is divided by l(-10)?
0
Let g = -1 + 7. Calculate the remainder when g is divided by 26 - 24 - 0/(-2).
0
Suppose -9*s = -13*s + 44. Suppose 0 = 4*i - 16 - 12. Calculate the remainder when s is divided by i.
4
Let v(s) = s**2 - s + 5. Calculate the remainder when 43 is divided by v(3).
10
Suppose -25 = -5*n + 5*q, -2*n + q = -0*q - 9. Suppose -9 = -c - n. Suppose 95 = 5*d - 0*d. Calculate the remainder when d is divided by c.
4
Let u(n) = n**2 + 3*n - 3. Let g be u(-3). Calculate the remainder when 32 is divided by g - (3 - 26 - -3).
15
Let n be 4 - ((3 - 2) + -1). Suppose 10 = 3*y - 5*o, -4*o = n*y - 7*o - 6. Calculate the remainder when (-2)/(2/(-27) - y) is divided by 7.
6
Let p(l) be the first derivative of -l**2 - 3*l + 2. What is the remainder when p(-8) is divided by 8?
5
Let h = -4 - -24. What is the remainder when h/(-2)*11/(-22) is divided by 3?
2
Let m(g) = 18*g - 2. Let v be m(2). Suppose 5*h - x + v = 0, 2*h - x - 1 = -14. Let o = h + 24. What is the remainder when 49 is divided by o?
15
Calculate the remainder when (-3)/4 - (-1626)/24 is divided by 17.
16
Let t(h) = 5*h**3 - h**2 - h + 1. Let j be t(1). Suppose -3*d = a - 60, 0*d + a + 73 = j*d. What is the remainder when d is divided by 7?
5
Let k(j) = 2*j + 9. Suppose -4*o + 9 = -5*r, -3*o - 4*r = r - 33. Calculate the remainder when k(6) is divided by o.
3
Suppose w - 117 = -8*w. Let b = -94 - -143. What is the remainder when b is divided by w?
10
Suppose -3*d - 20 = -3*z - 4*d, 25 = z + 4*d. Let q = -3 - -6. What is the remainder when (z - 1)/(1/2) is divided by q?
2
Let y(v) = -2*v**3 + 2*v**2 + 3*v - 4. Let j be y(-3). Suppose -2*p - 71 = -6*p + 5*k, k = 4*p - j. Calculate the remainder when 40 is divided by p.
12
Let v = -3 + 31. What is the remainder when 109 is divided by v?
25
Suppose 2*w - 2 = w. Suppose 34 = -3*a - w*u, a + 5*u + 18 = 3*u. Let y(o) = o**2 + 7*o + 1. What is the remainder when 35 is divided by y(a)?
8
Suppose 3*p + 3 = -5*n, -2*p + p = -5*n - 19. Suppose -p*u = 3*a - 78, -4*u = a - 6*a - 62. What is the remainder when 52 is divided by u?
16
Let a = -4 + 14. Let x = -27 + 45. Calculate the remainder when x is divided by a.
8
Let w = -51 + 72. What is the remainder when w is divided by 12?
9
Suppose 0 = 5*d, 5*h - 3*d + 0 = 15. Suppose h*o - w = 4*o - 17, w = -4*o + 62. Calculate the remainder when 29 is divided by o.
14
Let x = -28 + 43. Suppose -3*d + 88 = -d. Calculate the remainder when d is divided by x.
14
Suppose -124 = -j - 3*j. What is the remainder when j is divided by 17?
14
Let s = 13 - 12. Suppose 5*t = t + 8. Calculate the remainder when t is divided by s.
0
Suppose -2*m - 3*m + 125 = 0. Let d(k) = k**2 - 3*k - 5. Let v be d(5). Let o(f) = 3*f - 6. What is the remainder when m is divided by o(v)?
7
Let t(b) = -b**2 + 9*b. Let u(l) = -3*l - 14. Let p be u(-6). What is the remainder when 59 is divided by t(p)?
19
Let a = -22 + 34. Let c = -9 + a. Calculate the remainder when 3 is divided by c.
0
Let d = 78 + -20. Calculate the remainder when d is divided by 31.
27
Calculate the remainder when 3*(1 + -2) + 24 is divided by 8.
5
Let n = -3 - -6. Suppose 0 = n*m - m + 2. Let s = 21 + m. Calculate the remainder when s is divided by 7.
6
Let g(w) = -w**3 - 8*w**2 + 2*w - 9. Calculate the remainder when g(-9) is divided by 14.
12
Let t = 9 + 6. Let q be 2/(-6) - (-30)/9. Calculate the remainder when (q + -2 - -30) + -2 is divided by t.
14
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