- 1775 = 3*z, -1207 = 4*x - 5*z - 4762. What is the remainder when x is divided by 28?
27
Let h = 122 + -51. What is the remainder when h is divided by 24?
23
Let c = 20 - -3. Let o(s) = -s**3 - 1. Let m(b) = 7*b**3 - 6*b**2 + b + 18. Let j(q) = -m(q) - 6*o(q). What is the remainder when c is divided by j(5)?
7
Suppose -6*g + 3*g - 48 = -4*p, -4*p + 5*g + 48 = 0. Calculate the remainder when 23 is divided by p + 10/(-4)*12/(-30).
10
Suppose -44*q + 46*q - 1587 = -5*d, 3*d - 2*q = 965. Calculate the remainder when d is divided by 81.
76
Let i = -51 - -56. Let f(s) = s**3 + 2*s**2 - 6*s + 3. Calculate the remainder when f(i) is divided by 30.
28
Let j(x) = 16*x + 2. Calculate the remainder when j(2) is divided by 24.
10
Suppose -42 = -t - 25. Calculate the remainder when 228 is divided by t.
7
Let h(g) = 2*g - 3. Let k be h(4). Let i = 10 - k. Suppose i*f + 4*r - 100 = -0*f, 3*f - r = 43. What is the remainder when 47 is divided by f?
15
Let v(j) = j**3 - 7*j**2 + 13*j - 3. Let t = 1 + 5. Let r be v(t). Let n = 108 - r. What is the remainder when n is divided by 35?
34
Let b = 121 + -114. Let x = 13 - -19. Calculate the remainder when x is divided by b.
4
Let i(m) = m**3 + 21*m**2 - 2*m - 22. What is the remainder when 12/(-8)*-2*79/3 is divided by i(-21)?
19
Suppose 104*a - 109*a + 20 = 0. Suppose -a*l - 9 = -5*l. What is the remainder when 24 is divided by l?
6
Calculate the remainder when 15750/147 - 32/28 is divided by 66.
40
Let x = 1481 - 1418. What is the remainder when x is divided by 37?
26
Let k = 34 - 27. Suppose -k*i + 79 = -12. Calculate the remainder when 23 is divided by i.
10
Calculate the remainder when 488 is divided by 286/8 - 3/4.
33
Suppose -4*r - 200 = -14*r. What is the remainder when r is divided by 7?
6
Let h = 30 - 26. Let y = -8 - -15. What is the remainder when y is divided by h?
3
Suppose 0 = 2*c - m - 50, 2*c - 4*m - 41 = 3. Suppose -4*t + 16 = 4*d - 2*d, -5*d = 2*t - 64. Calculate the remainder when c is divided by d.
12
Suppose 0 = 2*n + n - 96. Let r = -29 + n. What is the remainder when 161/r - (-7)/21 is divided by 19?
16
Let t be 36/(-45)*(-1990)/(-4). Let u be 8/16 - t/4. Suppose 7*o = 2*o + u. What is the remainder when 39 is divided by o?
19
Let s(i) = 4*i**2 - i. Let v be s(-1). Suppose -4*r = -v*r - 360. Calculate the remainder when 31 is divided by r/(-32) + (-1)/4.
9
Suppose 2*c + 8 = 0, d = -3*d + c + 32. Calculate the remainder when 45 is divided by d.
3
Suppose 10*w = -5114 + 19594. Calculate the remainder when w is divided by 5.
3
Suppose -4*h = -3*h + 2*j - 4, -2*h + 4*j = -40. Suppose -2*b = -5*w + 133 - 14, 0 = 5*w + 3*b - 109. Calculate the remainder when w is divided by h.
11
Suppose 14 + 2 = 2*r. Suppose 0 = -0*g - 4*g + r. Suppose -4*b - b = g*f - 75, -5*b + 45 = -4*f. What is the remainder when 51 is divided by b?
12
Suppose 4*v - 11100 = -v - 5*g, 3*v - 5*g = 6660. What is the remainder when v is divided by 101?
99
Let o(n) = 93*n**2 - 2*n - 1. What is the remainder when o(-1) is divided by (1 + (-9 - 0))*(-39 + 37)?
14
Let q = 2543 + -2455. Calculate the remainder when q is divided by 23.
19
Let x = 64 - 32. Let t = x - 11. What is the remainder when 61 is divided by t?
19
Suppose 6*h = h. Suppose 3 = -3*q - 12, -3*r + 2*q + 25 = h. Suppose r + 11 = j. Calculate the remainder when j is divided by 5.
1
Let j(r) = 42*r**2 + r + 1. Let w = -32 + 31. Calculate the remainder when j(w) is divided by 11.
9
Suppose 0 = 107*i - 110*i + 39. Calculate the remainder when 2129 is divided by i.
10
Let f(g) = -5*g - 9. Suppose 16*x + 54 = -10. What is the remainder when 106 is divided by f(x)?
7
Let k = -35 + 60. Let u = -23 + k. Suppose 0 = -u*a + 5*a - 66. What is the remainder when a is divided by 8?
6
Let j = -37 + 40. Let t(b) = 13*b - 1. Let f = 14 + -1. What is the remainder when t(j) is divided by f?
12
Suppose -4*x + 42 = -4*b + 5*b, 0 = 5*b + 4*x - 162. What is the remainder when 46 is divided by b?
16
Suppose -r - 5 = -4. Let x(a) = 4*a**2 - 1. Calculate the remainder when 15 is divided by x(r).
0
Let k(z) be the third derivative of 17*z**4/12 - z**3/3 + 7*z**2. Calculate the remainder when k(1) is divided by 11.
10
Let r(l) = l**2 + 2*l + 3. What is the remainder when 10 - (-30)/(-5) - (11 - 31) is divided by r(-4)?
2
Let r = 1111 + -1081. What is the remainder when r is divided by 16?
14
Suppose -5*s - 18 - 12 = 0. Let m be (-1)/(19/s + 3). Suppose m = -a + 29. What is the remainder when a is divided by 8?
7
Suppose 0 = -0*k + 4*k - 2*r - 54, -3*r = -3. Let m(s) = -11*s + 41. What is the remainder when m(0) is divided by k?
13
What is the remainder when 8 is divided by 20/(12 - (-76)/(-8))?
0
Suppose 5*p - 4*p = 0. Suppose -5*q = -25, -3*q = 2*s - 4*q + 9. What is the remainder when s - (0 - 33) - p is divided by 11?
9
Let q = -6 + 54. Calculate the remainder when 285 is divided by q.
45
Suppose k = 11*k - 90. Calculate the remainder when 4/(19/17 + -1) is divided by k.
7
Suppose t + 25 = 118. What is the remainder when 284 is divided by t?
5
Let j(t) = 37*t**3 - t**2 + 4*t - 2. Let f be j(1). Suppose z = 2*z + 27. Let o = z + f. What is the remainder when 32 is divided by o?
10
Let l = 0 - -66. Let u(y) = -10*y - 5. Let j be u(-7). Suppose -3*f - 7 = -t - 78, -3*f = 2*t - j. Calculate the remainder when l is divided by f.
20
What is the remainder when 260/(-78)*(-38 - 1) is divided by 38?
16
Let t(k) be the first derivative of k**4/4 + 2*k**3 - 3*k**2/2 + 5*k - 1. What is the remainder when 3/(-3) - 11/((-44)/268) is divided by t(-6)?
20
Suppose -5*z - 97 = -4*b, 4*b - 4*z = -0*z + 92. Let u(k) = -k**2 + 7*k + 8. What is the remainder when u(6) is divided by 156/b + -3 + 2/6?
2
What is the remainder when (0 - -1)/((-605)/(-151) + -4) is divided by 76?
75
Let y(d) = -d**3 + 6*d**2 - 23*d + 166. Calculate the remainder when 102 is divided by y(6).
18
Let u be 2/((-9)/18 - 2/(-8)). What is the remainder when u/((-4)/(-114)*-3) is divided by 40?
36
Let q(n) = 17*n - 5*n**2 - 8 + 4*n**2 - 5*n. Let j = -3 - -12. What is the remainder when q(j) is divided by 11?
8
Let l(q) = 2*q**2 + 23*q + 25. Let c be (-7 + 1)*64/(-6). Suppose -2*k - c = -3*a, -5*k + 19 + 31 = 3*a. What is the remainder when l(-12) is divided by a?
17
Suppose -67*l + 25 = -62*l. Let r = 31 - 18. Suppose 12 = -3*s, r + 18 = 3*o - s. What is the remainder when o is divided by l?
4
Suppose 5*o - o = 32. Let r be (354/8)/((-1)/o). What is the remainder when r/(-10) - (-6)/(-15) is divided by 18?
17
Suppose 53 = 2*q + 3*f - 10, f = -4*q + 131. Suppose 7424 = -4*i + 62*i. Calculate the remainder when i is divided by q.
29
What is the remainder when (1 + -185)*((-10)/(-4))/(-5) is divided by 41?
10
Suppose -46*n = -51*n - 360. Calculate the remainder when 28 is divided by (-16)/n + (-426)/(-27).
12
Let v(p) = -p**3 - 22*p**2 + 25*p + 52. Let u = 6 + -2. Calculate the remainder when (-573)/(-27) - u/18 is divided by v(-23).
3
What is the remainder when (-20)/(-15) - 352/(-6) is divided by 14?
4
Suppose -13*i + 10 = -55. Suppose -19 = -4*b + 3*b. What is the remainder when b is divided by i?
4
Let w be -3*-5*1/3. Suppose -7*b - 82 = -t - 6*b, 5*t = -w*b + 420. What is the remainder when t is divided by 43?
40
Suppose -234 - 46 = -4*x. Let w(n) = n**2 + 9*n - 10. Let q(s) = -4*s**2 + 6*s + 7. Let p be q(3). Calculate the remainder when x is divided by w(p).
10
Calculate the remainder when 46 is divided by 366/27 + 80/180.
4
Calculate the remainder when 177 is divided by 64/80 + (-648)/(-15) + -1.
5
Suppose -5*v = -4*n - n - 260, 0 = -n - 4. Calculate the remainder when 82 is divided by v.
34
Let j(w) = -91*w - 4727. Suppose -4*y - 17 = -133. What is the remainder when y is divided by j(-52)?
4
Calculate the remainder when 14*10*(33 - 32) is divided by 29.
24
Let w(r) = -r**3 + 10*r**2 - 17*r + 11. Let a be w(8). Suppose -3*i + 4*p = 5*p - 259, 5*p = -a*i + 275. What is the remainder when i is divided by 33?
19
Calculate the remainder when 387 is divided by (-22)/(-12) - -3 - (-5)/30.
2
Let g(i) = 6*i**2 + 35*i - 29. Let j(o) = o**2 + 7*o - 6. Let m(p) = -2*g(p) + 11*j(p). Suppose -b + 11 = -0. What is the remainder when b is divided by m(3)?
3
Let i(g) = -g + 1. Let u(j) = 10*j + 72. Let s(r) = 6*i(r) + u(r). Suppose 0 = d + d - 54. 