a) = 4*a + 7. Let p(d) = -6*g(d) - 13*z(d). What is the remainder when 8 is divided by p(3)?
2
Suppose 0 = y - 2*i + 4, y + 0 = -i + 2. Suppose y = 3*b - 2*b - 10. Calculate the remainder when b is divided by 4.
2
What is the remainder when 24 is divided by ((-24)/9)/((-2)/15)?
4
Let l be 6/3 + 44 + 2. Let y = l - 2. Let m = -30 + y. What is the remainder when m is divided by 9?
7
Suppose n = -2*n - 30. Calculate the remainder when 23/2*n/(-5) is divided by 8.
7
Suppose -4*y = -4*n + 812, -2*n + 0*n - y = -391. What is the remainder when n is divided by 29?
24
Let a be -1*6/(3/(-1)). Suppose -4*x + q + 41 = 0, -2*x - a*q + 32 = 4. What is the remainder when x is divided by 6?
5
Let p(d) = d**2 + 5*d - 6. Let m be p(-7). Suppose -2*a + m = 2. Suppose 71 = a*n + f, 20 = 6*f - 2*f. What is the remainder when n is divided by 8?
6
Suppose 0 = 2*p - 13 - 9. Suppose -5*k + 272 = 62. What is the remainder when k is divided by p?
9
Let b = 103 - 51. What is the remainder when b is divided by 18?
16
Suppose 2*o + 34 + 74 = 5*i, 0 = 2*i - 3*o - 52. What is the remainder when i is divided by 9?
2
Suppose u + 2*i = 5*i - 6, 0 = -u - 2*i + 9. Suppose u*l - 5*y = -4, 3*y - 4*y + 26 = 3*l. Calculate the remainder when l is divided by 4.
3
Let o(a) be the second derivative of a**4/4 - 2*a**3/3 + a**2 - 2*a. Let x be o(2). Calculate the remainder when 37 is divided by (-3 - 2)/((-3)/x).
7
Let z(s) = -s**2 + 14*s - 25. Let o = -6 - -10. Calculate the remainder when z(3) is divided by o.
0
Let l be -5*(1 - 0/3). Let d(p) = -4*p - 7. Calculate the remainder when ((-4)/(-5))/(l/(-200)) is divided by d(-6).
15
Let h = -10 + 20. Calculate the remainder when 3/(-2)*-2 + 34 is divided by h.
7
Suppose -5*k + 5*v + 43 = -k, 5*v = -4*k + 53. What is the remainder when 4/(k/(-93))*-1 is divided by 8?
7
Let k(v) = 2*v**2. Let q be (-4)/((6/(-3))/2). Calculate the remainder when k(1) is divided by (-2)/q*-4*1.
0
Let u be ((-6)/(-9))/((-2)/(-3)). Let w = 6 + u. Let s = 8 - 4. Calculate the remainder when w is divided by s.
3
Suppose 6*r - r = 5*i + 30, -3 = i. Suppose -2*a + r*a = 19. What is the remainder when 56 is divided by a?
18
Suppose 3*x - 94 = -5*b, 0*x - 2*x = 2*b - 64. Calculate the remainder when x is divided by 7.
5
Let g = -2 + 35. What is the remainder when g is divided by 5?
3
Let u = 74 - 53. Let s(y) = 2*y**2 + 4*y + 3. Let n be s(-2). Suppose -n*q + 6 = 0, -5*l + 2*l - 3*q + u = 0. What is the remainder when 9 is divided by l?
4
Suppose i = -1 + 6. Suppose 3 = -d - 3. Calculate the remainder when ((-8)/d)/(2/21) is divided by i.
4
Suppose 5*c = m + 17, -c = -4*m - 3 - 8. Suppose -6*f = -3*i - f + 89, -5*i = -c*f - 127. What is the remainder when 68 is divided by i?
22
Let o(q) = -q**3 - 17*q**2 + 14*q + 14. Calculate the remainder when o(-18) is divided by 22.
20
Let k be ((-28)/(-35))/((-4)/(-10)). Suppose -p + 62 = 2*p - 5*v, 4*p - k*v = 78. What is the remainder when p is divided by 11?
8
Let m be -4 + 10 + (-6)/2. Suppose -4*s = -v + 21, -m*v + 5*v = 3*s + 52. Calculate the remainder when 86 is divided by v.
28
Suppose 0 = -3*f + 2 + 10. Let j be (-277)/(-5) + (-4)/10. Suppose 0 = -0*m + 5*m - j. Calculate the remainder when m is divided by f.
3
Suppose 4*n + 8 = y, 0 = 4*y - 0*n + n - 15. What is the remainder when 30 is divided by y?
2
Suppose 2*i = 4*i - 148. Suppose 4*z - 109 = -5*g, 88 = 6*g - 2*g + 3*z. What is the remainder when i is divided by g?
24
Suppose 2*m + 2*s = 4*m - 246, -363 = -3*m + 5*s. Suppose 0 = 5*p + 4*w + 18 - m, p - 9 = -5*w. Calculate the remainder when p is divided by 13.
11
Let m(z) = -7*z - 1. Let u be m(-1). Let h(p) = p**3 - 6*p**2 + 3*p - 5. Let d(w) = 2*w + 15. Calculate the remainder when d(11) is divided by h(u).
11
Let r(m) = -m**2 - 19*m - 15. What is the remainder when 8 is divided by r(-18)?
2
Let n(q) = -21*q + 1. Suppose 0 = -3*x + 8 - 26. Calculate the remainder when n(-2) is divided by x/((-6)/2) + 13.
13
What is the remainder when 179 is divided by (-117)/(-12)*8/3?
23
Suppose -26*t + 31*t - 35 = 0. Let d be (1/(-2))/((-2)/(-8)). Calculate the remainder when 1/d - (-117)/6 is divided by t.
5
Let i(n) = -2*n - 38. Calculate the remainder when 90 is divided by i(-21).
2
Suppose 0 = t - 92 + 17. What is the remainder when t is divided by 26?
23
Suppose 4*h = 118 + 118. Let i = -2 + h. Calculate the remainder when i is divided by 29.
28
Suppose 0 = -0*x + 3*x - 5*h + 3, 0 = 3*h - 9. Suppose 28 = -x*r + 6*r. Calculate the remainder when r is divided by 8.
6
Let i be 368/32 + (-1)/(-2). Suppose 5*k = 7*k - i. Suppose 0 = 5*x + 5 - 25. What is the remainder when k is divided by x?
2
Let x = 19 + -2. Let s(z) = 2*z**2 + 3*z - 3. Suppose -3*d + 6 = -5*d. Calculate the remainder when x is divided by s(d).
5
What is the remainder when 42 is divided by 3 - (4 - 24 - -1)?
20
Let q(o) = o**3 + 3*o**2 + o - 4. What is the remainder when 71 is divided by q(2)?
17
Suppose s = 2*s - 17. Calculate the remainder when s is divided by (2 + 8/(-2))*-2.
1
Let u = -16 - -50. Let x = -14 + u. What is the remainder when 79 is divided by x?
19
Suppose 4*z + 4*v + 108 = 0, 6 - 57 = 2*z + v. Let k be z/14 - 2/7. What is the remainder when (k - 29)*2/(-2) is divided by 11?
9
Let f(a) = 2*a**2 - 2*a + 4. Suppose 0*c = 3*c - 9. Suppose 2*m = 3*m, -5*m = c*p - 27. What is the remainder when f(3) is divided by p?
7
Suppose 3*v + 4*v - 455 = 0. Calculate the remainder when 97 is divided by (-2)/(-4) - v/(-2).
31
Suppose -3*o + 45 = -2*r + 5*r, r - 2*o - 21 = 0. Calculate the remainder when r is divided by 11.
6
Let s be (-2)/5 - (-44)/10. Suppose 0 = -5*z + 5*g + 30, -3*z - 2*g = 1 - s. What is the remainder when 7 is divided by z?
1
Let b be ((-30)/4)/(2/4). What is the remainder when 69 is divided by (1 + -7)/(5/b)?
15
Let n = -14 + 21. Suppose -f + 4*f - 65 = -4*h, 0 = 5*h + 2*f - 90. Calculate the remainder when h is divided by n.
6
Suppose -60 = -2*p - 3*p. What is the remainder when 32 is divided by p?
8
Calculate the remainder when (-4)/6 + (-232)/(-6) is divided by (18 + -15)/(1*(-3)/(-13)).
12
Suppose -i = 2*u - 1 - 14, -3*u = -5*i + 10. Suppose 0 = -3*v + u + 52. Calculate the remainder when v is divided by 10.
9
Suppose 0*r + r + 5 = 0. What is the remainder when 43 is divided by 26 + r - (-2 - -1)?
21
Let y(r) = r + 4. Let w be y(6). Let z = 0 + w. Suppose -2*m + 7*m = 140. Calculate the remainder when m is divided by z.
8
Let z = -5 - -9. Suppose -62 = -z*s + 3*t + 2*t, -5*s = t - 63. What is the remainder when 36 is divided by s?
10
Let j be (0 - 4)/(2/(-17)). Suppose 3*b + 5*x - j = 0, -b = -0*b + 2*x - 12. Suppose 42*q - 44*q + 6 = 0. Calculate the remainder when b is divided by q.
2
Suppose 0 = z - 3*t - 16, -2*t - 8 = -2*z + 8. What is the remainder when 9 is divided by z?
1
Suppose 0 = 5*u + 15, 5*u - 9 = j + j. Let h(f) = -f**3 - 11*f**2 + 12*f + 6. What is the remainder when 22 is divided by h(j)?
4
Suppose 2*i - 34 = 2*j + 2*j, 0 = j + 4. Calculate the remainder when 23 is divided by i.
5
Let m = 6 - -28. Let j = 27 - 18. What is the remainder when m is divided by j?
7
Suppose 7*x - 188 = -4*y + 2*x, -3*x - 235 = -5*y. Suppose 5*n - q + 11 = y, n + q = 12. Calculate the remainder when 23 is divided by n.
7
Suppose -b + 19 + 19 = 0. Let j(y) be the third derivative of -5*y**4/24 - 5*y**3/6 + 3*y**2. What is the remainder when b is divided by j(-5)?
18
Suppose -g + 5 = -0*g. Suppose 4*c - 5 - 3 = 0. Suppose -a - 7 = -c*a - 2*h, 3*a = h + 42. Calculate the remainder when a is divided by g.
3
Let v(i) = i**3 + 8*i**2 + 6*i + 4. Let c = -46 + 67. What is the remainder when c is divided by v(-7)?
10
Suppose l + v = -3*v + 3, 2*l = -2*v + 6. What is the remainder when (-54)/(-10) - (-2)/(-5) is divided by l?
2
Suppose -2*g = -v + 6, 3*v - g + 0*g - 13 = 0. What is the remainder when 6 is divided by v?
2
Suppose 0 = -4*y - 16, 2*q + 4*y = -q + 77. Let s = q - 5. Suppose 3*r + r = 36. What is the remainder when s is divided by r?
8
Let b(w) = -w**2 - 7*w + 3. Let k be b(-7). Let t(c) = -c**2 - c**k + 2*c**3 - 2*c**3 + 6. Calculate the remainder when 21 is divided by t(0).
3
Let t = 82 + -70. Calculate the remainder when 117 is divided by t.
9
Suppose -75 + 3 = -3*j. Suppose 5*p = -4*b - 8, 0*p - 3*p = 3*b + 3. Calculate the re