48 = 0. Let g = 20 - 34. Calculate the remainder when q is divided by (-6)/(-4) + g/(-4).
2
Suppose -v - 3*v = -80. Calculate the remainder when (106 - 27 - (-1 + -4)) + -8 is divided by v.
16
Let z(w) = -w + 15. Let b be z(11). Let n = -5 + 8. Suppose -2*c - b = -n*c. What is the remainder when 6 is divided by c?
2
Let q(u) = -u**2 - 14*u + 7. What is the remainder when 61 is divided by q(-12)?
30
Let w(k) = 2*k**2 + 1. What is the remainder when (3/(-9))/((-1)/(-12)*-1) is divided by w(1)?
1
Let c = 42 + -22. Suppose 3*a = 2*p + 23, 3*a + 5*p - p - 53 = 0. Calculate the remainder when c is divided by a.
9
Suppose -5*t + 653 = -3*d - 337, -396 = -2*t - 5*d. Calculate the remainder when t is divided by 68.
62
Let y(n) = 80*n + 158. What is the remainder when y(8) is divided by 50?
48
Let h = -4 + 13. Let t(s) = -22*s + 41*s**2 + 24*s - 16*s**2 - 1. What is the remainder when t(1) is divided by h?
8
Suppose -6*o = -367 + 7. Let g = -28 + 59. What is the remainder when o is divided by g?
29
Let n(o) = -2*o**2 + 4*o + 12. Let c be n(5). Let w = c - -24. Calculate the remainder when 10 is divided by w.
4
Suppose 0 = 2*r + 40 - 82. What is the remainder when 103 is divided by r?
19
Let u(g) = g**3 - 11*g**2 + 13*g - 4. Suppose 3 = -3*k + 33. Let p = -8 - -18. Calculate the remainder when u(k) is divided by p.
6
Let b be 4/30 + 553/15 + 0. Suppose 155 = 3*u + 4*v, -v = u + 4*v - b. What is the remainder when u is divided by 15?
12
Suppose -f + 14 = 2*m - 4, 0 = -m + 3. Let c be -2*50*(-9)/f. Suppose -6*d + c = -3*d. Calculate the remainder when d is divided by 9.
7
Suppose 7118 + 5342 = 5*h. What is the remainder when h is divided by 58?
56
Let p = -494 - -507. What is the remainder when 154 is divided by p?
11
Let x = 187 - 182. Suppose 5*z - f = 4*f - 1210, -3*z = 5*f + 710. Calculate the remainder when z/(-18) - (-4)/6 is divided by x.
4
Suppose -3*r - 3 = -2*t, -3*t - 4*r + 0*r = -47. What is the remainder when 285 is divided by t?
6
Let h be -69*((-2)/4)/(2/4). Suppose 4*k = 2*k - 5*p + h, 3*p = -2*k + 63. What is the remainder when 106 is divided by k?
25
Suppose -5*o + 17 + 33 = 0. Suppose 6*r - o*r = -64. Calculate the remainder when 31 is divided by r.
15
Let z(o) = 2*o**2 + 24*o - 6. Let h be z(-14). Let m = h + -2. Calculate the remainder when m is divided by 26.
22
Suppose 9*q - 436 = 59. What is the remainder when q is divided by 19?
17
Suppose -147 = -2*l + 61. Calculate the remainder when l is divided by (0 - 143/(-4)) + (-2)/(-8).
32
Let f = -24 - -33. Let m(z) = -z + 17. Let t be m(f). Calculate the remainder when 70 + -3 + -1 + t is divided by 19.
17
Let w = -782 + 1096. What is the remainder when w is divided by 63?
62
Suppose -3*q = 24 - 54. What is the remainder when 36 is divided by q?
6
Let d = 10 - -1. Calculate the remainder when ((-567)/12)/(-3)*48/18 is divided by d.
9
Calculate the remainder when (58 - -21)*(-2)/(-2) is divided by 12.
7
Let x(k) = -k**3 + k**2 + k + 11. Suppose -102 = 49*w - 1082. What is the remainder when w is divided by x(0)?
9
Suppose 5*x - 6*x = 2*w - 4, -5 = -5*w - 5*x. Suppose -80 = -w*a + 613. What is the remainder when a is divided by 39?
36
Let v(n) = -n**2 + 9*n - 4. Let f be v(8). Suppose -o = -f*o - k + 23, -o + 21 = 3*k. What is the remainder when 20*(2 - (0 + 1)) is divided by o?
2
Let a = -500 - -504. Suppose 58 = 5*c + 4*d - d, 2*c + 5*d - 8 = 0. What is the remainder when c is divided by a?
2
Suppose -c = 0, -6*x + 4*c + 264 = -2*x. Calculate the remainder when x is divided by 25.
16
Let u(d) = -2*d + 18. Let g = -68 - -75. Calculate the remainder when 19 is divided by u(g).
3
Let n(j) = -j - 1. Let y(h) = -h**2 - 4*h + 1. Let f be y(-5). Let g be n(f). Let b(c) = -c**3 + 4*c**2 + 2. Calculate the remainder when 32 is divided by b(g).
10
Let z be (6 - 7)/(2 + (-81)/40). Let f = z - 7. Calculate the remainder when f is divided by 20.
13
Let u(k) be the second derivative of -7*k**3/6 - 19*k**2 + 2*k. What is the remainder when 126 is divided by u(-10)?
30
Suppose 0*l - 16 = -4*a - 4*l, 5*a + 4*l = 19. Suppose a*p - 87 = 5*f, 0 = -5*p + 2*p - 4*f + 87. What is the remainder when p is divided by 6?
5
Let k(i) = 14*i**2 + 7. What is the remainder when k(-2) is divided by 80*4/50*5?
31
Suppose 5*w + 3*t = 80, -6*w - 5*t = -2*w - 77. Suppose 0 = -4*i + 51 - 3. What is the remainder when w is divided by i?
1
What is the remainder when 393 is divided by (-4103)/(-55) + 4 - (-2)/5?
77
Suppose -5*x = -t + 1, 3*x - 8*x - 5 = -5*t. Suppose x*d + 4*d + 4*r - 64 = 0, 2*d - 2*r - 28 = 0. Calculate the remainder when 73 is divided by d.
13
Let y be (-2 - 44/(-8))*2. Suppose y = 5*b - 8. What is the remainder when 8 is divided by (2/b)/((-16)/(-120))?
3
Suppose 3*b + 6 = 2*d + d, 0 = -b - d + 8. Calculate the remainder when -3 - (-117)/7 - 32/(-112) is divided by (10/b)/((-2)/(-3)).
4
Suppose -3*h = 48 - 42. Let c = 6 - h. What is the remainder when 29 is divided by c?
5
Let a be (-6)/2 + (-21)/(-3). Suppose a*o + k - 9 = 1, 0 = o - k - 5. Suppose -22 = -o*x + 137. What is the remainder when x is divided by 27?
26
What is the remainder when 258 is divided by 3/6 + (205/10 - 1)?
18
Let u = -63 + 83. What is the remainder when 27 is divided by u?
7
Suppose 5*k + 10 = 0, 67 = 3*t + k - 48. Calculate the remainder when 1/(-14) + 2/4 + (-6360)/(-56) is divided by t.
36
Suppose -3*x + 3*i = -18, 3*x - 5*i + 6*i = 38. Calculate the remainder when 1328 is divided by x.
8
Calculate the remainder when (-2 - (-1 - -35))*(-7)/4 is divided by 11.
8
Suppose 3*n - 2*n = 98. Let r = 1 + 14. Calculate the remainder when (-2)/(-8)*(n + 18) is divided by r.
14
Let t = -1621 + 1722. Calculate the remainder when t is divided by 35.
31
Let h be (-8)/3*126/(-28). Suppose -x + h = g, -36 = -5*x + g + 2*g. Calculate the remainder when x is divided by 1.
0
Let d = 166 - 18. Calculate the remainder when d is divided by 8.
4
Let l = 176 + -90. What is the remainder when 167 is divided by l?
81
Let n = 257 + -103. What is the remainder when n is divided by 23?
16
Suppose 254 = 12*x - 94. Calculate the remainder when x is divided by 18.
11
Let n = -74 - -77. Suppose 0 = -n*a - v + 74, -55 = -4*a + 2*a + 5*v. What is the remainder when 43 is divided by a?
18
Let z(s) = 6*s**2 - 34*s + 17. Calculate the remainder when z(12) is divided by 79.
78
Suppose -3*y = 2*y - 3*o - 36, -y - 3 = -4*o. Suppose 4*n - 3 = 13. What is the remainder when y is divided by n?
1
What is the remainder when (-2 + 10)*1 + 3 is divided by ((-1)/2)/(5 - (-355)/(-70))?
4
Suppose 5*q - 23 = 547. What is the remainder when q is divided by 13?
10
Suppose 73*p - 1665 = 58*p. Calculate the remainder when p is divided by 45.
21
Let k = 71 + -116. Calculate the remainder when (-9)/(k/170) + (0 - 1) is divided by 9.
6
Let z(k) be the first derivative of 5*k**3/3 + k**2 - 4*k - 4. Calculate the remainder when 177 is divided by z(2).
17
Suppose 1128 = 31*j + 43. What is the remainder when 131 is divided by j?
26
Suppose -9*v - 9 = -0*v. Calculate the remainder when v*((1 - 0) + 2) - -23 is divided by 7.
6
Let m = -7 - -36. Let u(q) be the second derivative of 9*q**3/2 - 11*q**2 + 24*q. What is the remainder when u(5) is divided by m?
26
Let q be (7 + -1)*(-4 + 11). Let o = q + -21. Let w = 29 - o. What is the remainder when 30 is divided by w?
6
Let a be 720/(-51) - (-12)/102. Calculate the remainder when a*(-3 + 0/2) is divided by 22.
20
Let r(w) = -3*w**3 - 3*w**2 - w. Let t be r(-2). Suppose 2*o - t = -2*c, 5*c - 3*o - 35 = -0*o. What is the remainder when 27 is divided by c?
6
Let d = -93 - -114. Calculate the remainder when 72 is divided by d.
9
Let m(b) = b**3 - 7*b**2 + 4*b + 2. Suppose -2*w + 8 + 6 = 0. What is the remainder when m(w) is divided by (8/10)/(2/20)?
6
Suppose 5*i - 2*r = r + 36, 0 = 2*i - r - 14. Let m = i + -7. What is the remainder when -15*m/(20/12) is divided by 2?
1
Let i(f) = 15*f**2 - 2*f. Let j be i(-2). Suppose -j = c - 200. Suppose 5*o - c = -4*p, 2*o - 2*p - 20 - 20 = 0. What is the remainder when o is divided by 13?
11
Suppose -4*k + 2*y = -12, 0*k + 3*y = -5*k + 15. What is the remainder when ((-12)/(-16))/(k/92) is divided by 8?
7
Let q be (-7)/(7/(-3)) + (-1 - -13). Suppose -5*c + 4 = -6*c, s + c + 17 = 0. Let y = q + s. Calculate 