 What is the remainder when 567 is divided by q?
141
Suppose -9*b + 12*b + 555 = 5*r, -4*r + 457 = -5*b. Calculate the remainder when r is divided by 37.
34
Calculate the remainder when 9 is divided by 266/(-57)*12/(-14).
1
Suppose 7*g = -310 + 2557. Let c = -238 + g. Calculate the remainder when c is divided by 44/2 + 0/(-2).
17
What is the remainder when 54/3 + 2 - 0 is divided by 15 + (-1 + 1 - 5)?
0
Suppose -9*t - 2*l + 16 = -8*t, -2*t + 5*l - 13 = 0. What is the remainder when t is divided by 2?
0
Let i be -5 + 4 - 10/(-2). Suppose -4*q = -l - 31, i = 5*q - 2*l - 31. What is the remainder when 34 is divided by q?
7
Let b(j) be the first derivative of -13*j**4/4 + j**3/3 - j**2/2 - 3*j + 2. Let a = -15 + 13. What is the remainder when b(a) is divided by 22?
19
Suppose 0 = 26*w - 702 + 234. Calculate the remainder when 89 is divided by w.
17
Calculate the remainder when 101 is divided by 47 - (12 + 24/(-12)).
27
Suppose 2 = -4*c + 4*u - 2, 5*u + 1 = 4*c. Let f be (-594)/(-10) - c/(-15). Let i = f - 17. Calculate the remainder when i is divided by 12.
6
Let a(s) = 15*s**2 + s. Let g be a(1). Let r = 4 + g. What is the remainder when 37 is divided by r?
17
Let z(u) = -u**3 + 8*u**2 - u - 3. Let n(q) = 2*q**3 - 9*q**2 + q + 3. Let g(v) = -3*n(v) - 4*z(v). Calculate the remainder when g(-4) is divided by 12.
11
Let q(m) = m**3 - 5*m**2 + 7*m + 6. Calculate the remainder when 105 is divided by q(4).
15
Suppose 0*c - 4 = 4*c. Let g be -113 + 3 + c*6. Let q = -65 - g. Calculate the remainder when q is divided by 13.
12
Let d(m) = -m**2 - 20*m - 53. What is the remainder when 43 is divided by d(-7)?
5
Suppose 201 + 165 = 6*x. What is the remainder when x is divided by 11?
6
Let h = 41 - -24. Suppose h = 5*v - 4*f, 2*v - 4*f = 11 + 15. Let p(t) = 3*t - 7. Calculate the remainder when v is divided by p(5).
5
Let n(j) = 6*j - 8. Let i(g) = -18*g + 23. Let k(y) = -6*i(y) - 17*n(y). Suppose s = 45 - 16. What is the remainder when s is divided by k(2)?
9
Suppose 3*i + 1 = 5*p + 97, 64 = 2*i - p. Suppose 3*h = -11 + i. What is the remainder when 29 is divided by -4 + h - (-2 - 11)?
13
Let w be 2/(-7) + (-10)/(-35). Let k(l) = 2*l**3 - 2*l**2 + l + 79. Calculate the remainder when k(w) is divided by 20.
19
Calculate the remainder when (-45)/9 + ((-4)/(-2) - -501) is divided by 10.
8
Let m(r) = r**2 - r + 1. Let a be m(3). Let n(k) = 98*k**2 + 5 + 8*k - 99*k**2 + 3. Calculate the remainder when 42 is divided by n(a).
12
Let m(v) = v**3 + 10*v**2 + 8*v + 24. What is the remainder when m(-9) is divided by 18?
15
Let u(z) = -z**2 - 80*z + 237. Calculate the remainder when u(0) is divided by 40.
37
What is the remainder when (-65 + -1*(-6 - -4))*-1 is divided by 33?
30
Let b be 4/2*(-344)/16. Let n = -32 - b. What is the remainder when 39 is divided by n?
6
Let x = -1377 + 1939. What is the remainder when x is divided by 69?
10
Let u = 816 + -558. What is the remainder when u is divided by 26?
24
Let d = 92 - 51. Suppose -d = -4*m - 29. What is the remainder when (2 - 1)*21/3 is divided by m?
1
Suppose 3*s + 0*s - 6 = 0. Suppose 20 = s*h + 3*h. Suppose -h*v + 4*w + 36 = 0, 0 = -v + 4*v + w - 43. What is the remainder when 38 is divided by v?
12
Let r(a) = 4*a**2 + 3*a - 5. Let m be r(2). Let x = 66 + m. Calculate the remainder when x is divided by 21.
20
Let f(i) = i**2 + 4*i + 2. Let g be f(-5). Let q = -8 + g. Calculate the remainder when q/((-3)/15)*1 is divided by 2.
1
Let r(d) = -d**3 - 5*d**2 - 7*d + 2. Let n be r(-3). Suppose -4*c = -n*c + 34. Let o = 36 + -24. What is the remainder when c is divided by o?
10
Calculate the remainder when 4/7*(1757/14 + 4) is divided by 25.
24
Suppose -2 = v - 5. Let a(y) = -21*y - 2. Calculate the remainder when a(-1) is divided by (-13)/(-3) - (-2)/v.
4
Let s = 47 - -2. Let x(w) = 2*w**2 - 7*w - 262. Calculate the remainder when x(-15) is divided by s.
48
Let i = -721 - -762. Calculate the remainder when i is divided by 23.
18
Suppose 129 = 3*y - 2*d, -2 = 2*y + 2*d - 98. Calculate the remainder when 627 is divided by y.
42
Let t = -10 - -12. Calculate the remainder when 2 is divided by t/(-1) - (1 - 4).
0
Let d(g) = -43*g - 22. What is the remainder when d(-4) is divided by 11?
7
Suppose 0 = -5*j + 41 - 16. Suppose 0*i + 20 = j*i. What is the remainder when i is divided by 1?
0
Let f be 24/(-36)*6/(-2). Suppose -2*o + 4*b = -32, f*o - 2*b = -3*o + 112. What is the remainder when o is divided by 3?
0
What is the remainder when 354 is divided by (-873)/(-51) - 24/204?
14
Calculate the remainder when 1341 is divided by 28/(-7) + (4*-88)/(-4).
81
Suppose 3*x + 2*v - 320 = 0, -4*x - x + 3*v + 527 = 0. What is the remainder when 734 is divided by x?
98
Suppose -5 = -5*h + z, 5 = -2*h - 5*z + 4*z. Suppose -3*c - c + 48 = h. Calculate the remainder when 45 is divided by 6*3*8/c.
9
Suppose -3*s - 29 = -401. Let w = s + -20. What is the remainder when w is divided by 35?
34
Let b = 38 - 33. Suppose -z = h - 14, 0 = 2*z + 5*h - b - 29. Calculate the remainder when 33 is divided by z.
9
Let k(b) = -b**3 + 5*b**2 + 8*b - 21. Calculate the remainder when 727 is divided by k(4).
25
Let i be ((1180/(-8))/(-5))/(3/6). Suppose -i*f = -55*f - 652. What is the remainder when f is divided by 41?
40
Suppose -4*x + 3*u = -0*x - 190, -2*u = 3*x - 151. Let o = x + 14. What is the remainder when o is divided by 13?
11
Suppose -2*l - 3*l + 3*g + 24 = 0, -5*g + 22 = 2*l. What is the remainder when 5 - (-6*(-8)/(-12) + 0) is divided by l?
3
Let z(i) = i**3 - 4*i**2 - 5*i + 3. Let l = 4 + -16. Let g = l + 28. What is the remainder when z(6) is divided by g?
13
Let o(b) = -12*b**3 + b**2 - 2*b - 2. Calculate the remainder when 464 is divided by o(-1).
9
Let x(v) = v**2 - v + 6. Let t = -6 - -9. What is the remainder when 59 is divided by x(t)?
11
Let q = 10 + -6. Suppose 2 = z - 6. What is the remainder when z + 9/(-6)*2 is divided by q?
1
Suppose -5*r = -8*r + 5*g + 67, 4*r - 36 = -4*g. Calculate the remainder when -1*((-53)/1)/1 is divided by r.
11
Suppose 4*m = -m + 110. Let q(d) = -d + 11. Let u be q(5). Suppose 2*n + 5*y - u = 0, -2 = -2*y + 3*y. What is the remainder when m is divided by n?
6
What is the remainder when 10/((-88)/(-16) - 5) is divided by 17?
3
Calculate the remainder when (-18)/4*174/(-29) is divided by 19.
8
Suppose 38*q = 2518 + 28. What is the remainder when 244 is divided by q?
43
Let r = 217 - 133. What is the remainder when r is divided by 30?
24
Suppose -30 = -d + 3*g, 0 = -2*d + 29*g - 27*g + 72. Let m = 92 - 66. What is the remainder when d is divided by m?
13
Let w(x) = -11*x - 485. Calculate the remainder when 1148 is divided by w(-47).
28
Suppose -x - 2*x = -4*a - 43, -5*a = 5. Suppose 3*o - 3*j = -j - 5, 0 = -o + j. Calculate the remainder when 54 + ((-10)/o - 5) is divided by x.
12
Let b(s) = 51*s**3 + 2*s - 2. Suppose 0 - 1 = -q. What is the remainder when b(q) is divided by 13?
12
Let r(v) = v**3 - 41*v**2 + 44*v + 27. Calculate the remainder when r(40) is divided by 97.
90
Let f(p) be the third derivative of p**4/24 + 2*p**3/3 - 7*p**2. What is the remainder when 30 is divided by f(7)?
8
Suppose -49*g = -62*g + 78. Calculate the remainder when 106 is divided by g.
4
Let w = 36 + 74. Suppose -4*t + 2 = -w. What is the remainder when t is divided by 15?
13
Suppose -3 = -2*g + 5. Suppose -t - 21 = -g*t. What is the remainder when 12 is divided by t?
5
Suppose 607 = 39*l - 5867. What is the remainder when l is divided by 8?
6
Let v = 4 + 7. Let j be -3*7*(12 + -11). Let c = 51 + j. Calculate the remainder when c is divided by v.
8
Suppose -60*x = -62*x + 236. What is the remainder when x is divided by 17?
16
Suppose -d + 1 = -18. Let h = d + -17. Suppose -5*v = -h*v - 75. What is the remainder when v is divided by 7?
4
What is the remainder when 74 is divided by -8 + -9 + 40 + -8?
14
Let r be 1 - ((-4)/(-2) - 5). Let o be 10/(-5)*2 - -2. Let u = r + o. What is the remainder when 5 is divided by u?
1
Let x = -452 - -536. Calculate the remainder when x is divided by 33.
18
Let i = 107 - -28. Calculate the remainder when i is divided by 35.
30
Let o = 169 - 164. Let v = -23 + 42. Suppose -4*x - 3*n - v = -58, -o = -5*n. Calculate the remainder when 23 is divided by x.
5
Let i = 79 - 33. Let x(j) = 5*j**2 - 45*j +