at is the remainder when 61 is divided by t?
19
Suppose y = -2*y + 183. Suppose -47 = -8*u + 121. Calculate the remainder when y is divided by u.
19
Let c(h) = -h**3 - h**2 - 2*h - 4. What is the remainder when 91 is divided by c(-3)?
11
Suppose -4*l - l + 225 = 0. What is the remainder when l is divided by 12?
9
Let z = 104 - 43. Suppose f = 2*f - 21. Calculate the remainder when z is divided by f.
19
Let n be 6/(-27) + (-112)/(-18). Let i be ((-68)/(-6))/(2/n). Suppose 4*g - 26 = 3*g + 4*c, -5*g = 4*c - i. What is the remainder when 18 is divided by g?
8
Suppose k = -3*u + 9, 3*u - 16 + 4 = -2*k. Suppose 15 = k*m + 3. Suppose -m*f + 28 = -16. What is the remainder when 42 is divided by f?
9
Let t(w) = w**2 - 7*w - 12. Let v be t(9). Suppose -x + v*x = 5. Calculate the remainder when 1 is divided by x.
0
Suppose l + 0*l + 15 = 0. Let j(r) = -6*r + 4. Let o be j(-4). Let i = l + o. What is the remainder when 37 is divided by i?
11
Let t(a) = a**2 + 7*a + 8. Let q be t(-6). Suppose 2*s + 35 = q*i - 29, 2*i - 4*s = 72. What is the remainder when i is divided by 10?
8
Let a = 52 + -34. What is the remainder when 61 is divided by a?
7
Suppose 0 = -4*f + f + 48. Suppose 5*b - 104 = f. Calculate the remainder when b is divided by 13.
11
Suppose 10 = 2*x, 3*u - 13 = -u + 3*x. Let v = 26 - u. Calculate the remainder when v is divided by 11.
8
Let m = -10 + 13. Suppose 3*v - 5 - 1 = 0, m*l - v = 34. Calculate the remainder when 47 is divided by l.
11
Suppose -4 = -5*u + 1. Suppose -3*d + u = 4. Calculate the remainder when d*(-46)/(4 + -2) is divided by 8.
7
Let t = -10 + 7. Let c = 28 - t. Let l(j) = 2*j**2 + 3*j - 4. Calculate the remainder when c is divided by l(-4).
15
Let q be (-2)/9 + 11/9. Suppose 5*j = -q + 66. What is the remainder when (8/10)/((-6)/(-180)) is divided by j?
11
Let z(w) = 7*w**3 - 3*w**2 - w - 3. Let b be z(4). Let j be 2*(-1 + b/6). Suppose j = -k + 4*k. Calculate the remainder when k is divided by 15.
13
Let v = -5 - -20. Calculate the remainder when v is divided by 4.
3
Suppose 2*g + 2 - 8 = 0. Suppose g*o - 103 = -j, 0 = -3*j - 0*j + 3. Calculate the remainder when o is divided by 12.
10
Let u(c) = 2*c**2 - 3*c - 3. Let y be (-3 - (0 + -1))*-3. Calculate the remainder when u(y) is divided by 13.
12
Let t = 3 - 2. Suppose -2*b = -5*b. What is the remainder when t is divided by -3 - (-3 + -1 - b)?
0
Let z = 27 + -19. Let v(i) = -i**3 + 8*i**2 + 3*i - 12. Let x(b) = -b**2 - 7*b - 5. Calculate the remainder when v(z) is divided by x(-4).
5
Let j = -16 - -61. Suppose 21*o = 20*o + j. What is the remainder when o is divided by 16?
13
Suppose 2*u - 51 = 83. What is the remainder when u is divided by 0 + -2 + 23 + 2?
21
Let v = -180 - -266. Let h = -3 - -6. Suppose 7*l - 68 = -3*n + 2*l, -v = -h*n + 4*l. Calculate the remainder when n is divided by 14.
12
Let g(w) = 6 - 6*w + 2 + 17*w. Let y be g(7). Suppose 0 = 5*o + q - 2*q - 85, -3*q + y = 5*o. Calculate the remainder when o is divided by 6.
5
Let d(w) = 2*w**2 - 11. What is the remainder when 62 is divided by d(-4)?
20
Let u(j) = -j**3 + 6*j**2 + 4. Let m be 6/12*(55 + -1). Let y = 42 - m. What is the remainder when u(5) is divided by y?
14
Suppose -5*r + 98 = 2*w - 28, -4*r = 0. What is the remainder when w is divided by 16?
15
Suppose 0 - 6 = 3*v. Suppose -75 = -3*z + 3*m - 0*m, 5*m - 71 = -2*z. What is the remainder when z is divided by v + 0 + 96/8?
8
Let l be 27/12 + (-3)/(-4). Suppose i - 9 = -2*i, 34 = u + l*i. Calculate the remainder when u is divided by 13.
12
Let r(c) = -c**3 - 3*c**2 - 2*c - 3. Calculate the remainder when r(-6) is divided by 30.
27
Let v(m) = m**3 + 3*m**2 + 4*m - 4. Let s be v(-4). What is the remainder when (-4 - s) + -1 + 0 is divided by 11?
9
Suppose -3*m - 2 = -3*l + m, 2*l + 2*m - 6 = 0. Calculate the remainder when 3 is divided by l.
1
Suppose -5*z = k - 75, 0 = 5*z - 2*k - 48 - 27. Let x(h) = h**3 + 4*h**2 - 8*h - 7. Calculate the remainder when z is divided by x(-5).
7
Let m(a) = -a**3 + 3*a**2 - 4*a - 2. Let y(g) = -g**3 + 4*g**2 - 4*g - 3. Let c(o) = -2*m(o) + 3*y(o). Calculate the remainder when 32 is divided by c(4).
10
Let p be 1023/(-44) + 1/4. Let t = 34 + p. Calculate the remainder when 30 is divided by t.
8
Suppose 0 = -5*z + 25 + 55. What is the remainder when 58 is divided by z?
10
Let v = 52 - 22. What is the remainder when v is divided by (22 + 2)/(6/4)?
14
Suppose -5*t - 6*l + l + 150 = 0, -4*t + 5*l + 75 = 0. Calculate the remainder when 68 is divided by t.
18
Let y(h) = -2*h + 10. Calculate the remainder when 43 is divided by y(-6).
21
Suppose 0 = u - 3 - 18. Let h = u - 12. Calculate the remainder when 8/12 + (-46)/(-3) is divided by h.
7
Suppose 4*i = 23 + 9. Let v = 11 - 6. What is the remainder when i is divided by v?
3
Let f(h) = h**3 + 4*h**2 - 5*h + 1. Let k be f(-5). Calculate the remainder when 24 - (1/1)/k is divided by 6.
5
Let y(p) = 10*p**2 + 32*p - 45. Let o(i) = -7*i**2 - 21*i + 30. Let t(x) = -7*o(x) - 5*y(x). What is the remainder when 80 is divided by t(-12)?
26
Let p be 2322/45 - (-2)/5. Let i(q) = 3*q**2 + q. Calculate the remainder when i(-4) is divided by (195/p)/(1/4).
14
Suppose -3*v + 8*v - 40 = 0. Let d = v + -14. What is the remainder when (d - -8)/((-4)/(-106)) is divided by 18?
17
Suppose 4*d + v = -173, 7 = 5*v - 8. Calculate the remainder when d/11*(-94)/8 is divided by 12.
11
Let h(k) be the second derivative of -k**3/6 + 3*k**2/2 + 2*k. Let d be h(0). Suppose 0 = -2*x + d + 33. What is the remainder when x is divided by 10?
8
What is the remainder when -4 + 4 - -6*1 is divided by -2*(9/(-6) + 0)?
0
Let b(w) be the third derivative of w**5/10 - w**4/24 + w**3/6 + 3*w**2. Calculate the remainder when 21 is divided by b(1).
3
Let v(r) = -r**3 + 7*r**2 - 6*r - 7. Let g = 4 + 1. Let x = -40 + 47. Calculate the remainder when v(g) is divided by x.
6
Let y = -6 - -19. What is the remainder when y is divided by 8?
5
Suppose 0 = -5*l + 5*q + 20, 0 = -4*l - 4*q + 29 + 27. What is the remainder when l is divided by 2?
1
Let s = -28 - -54. Suppose -3*l + s = -r - r, -4*l = r - 53. Let o(b) = 2*b**2 - 5*b - 7. Calculate the remainder when o(6) is divided by l.
11
Suppose 0 = -n + 69 - 16. What is the remainder when n is divided by 14?
11
Suppose -13 - 72 = -5*q. Suppose 4*m - 167 = -39. What is the remainder when m is divided by q?
15
Let f(a) = -a**3 - 5*a**2 + 6*a - 2. Let d be f(-6). Calculate the remainder when (25/10)/((-1)/d) is divided by 2.
1
Let f = 14 + -12. Suppose 5*r = f*p + 38 + 21, 16 = 2*r + 3*p. What is the remainder when 41 is divided by r?
8
Let r(f) = 0 - 8 + 7*f - 5. Calculate the remainder when r(9) is divided by 17.
16
Let c be (2 - (0 - -2))*-1. Suppose 4*a + c = 12. Suppose y - 6*y = -35. Calculate the remainder when y is divided by a.
1
Suppose 0 = -5*d + 11 + 14. Calculate the remainder when d is divided by 1.
0
Let p = 14 + -10. Suppose -p*w - w + 10 = 0. What is the remainder when w is divided by 1?
0
Suppose -2*o - 5*r = -23, -o = 3*r + r - 10. Calculate the remainder when 95 is divided by o.
11
Suppose -5*r = 5*j - 45, r - 28 = -2*j + 4*r. Let d = j - -5. Calculate the remainder when d is divided by (-6)/(1 + 1)*-3.
7
Let y(x) = 38*x**2 - x - 1. Suppose -4*h - 20 = k + 4, 0 = 5*h + k + 31. Let n = h + 6. What is the remainder when y(n) is divided by 13?
12
Let c be ((-2)/(4/6))/(-1). Suppose -4*b + 0*b = -8. Suppose -b*h + 40 = c*h. What is the remainder when 21 is divided by h?
5
Suppose 0 = -0*g + 4*g - 152. Calculate the remainder when g is divided by 9/15 - 248/(-20).
12
Suppose 3*m + o - 6 = 0, 0*o + 2*o = -6. Let a(c) = -c**3 + 7*c**2 + 2*c - 10. Calculate the remainder when a(7) is divided by m.
1
Suppose -5*p - 14 = 6. Let m be 36/21 - p/14. Suppose 3*a = -m*a + 120. Calculate the remainder when a is divided by 13.
11
Let t(u) = u**2 - 5*u + 7. What is the remainder when t(11) is divided by 25?
23
Let x = -4 - -6. Let j(p) = p**2 + 4*p + 4. Calculate the remainder when x is divided by j(-3).
0
Suppose 0 = -5*n - 5*l + 745, 260 = 3*n + 5*l - 181. Calculate the remainder when n is divided by 31.
28
Let r(m) = -22*m - 9*m**2 + 2 + 2*m + 15 - 5*m**2. Let h(u) = -5*u**2 - 7*u + 6. Let q(w) = -17*h(w) + 6*r(w). What is the remainder when 10 is divided by q(3)?
4
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