he remainder when y is divided by x.
29
Suppose -2*b = 5*p - 187, 0*b - 3*p = -b + 88. Calculate the remainder when b is divided by 23.
22
Suppose -2*h = -4*v + 76, -2*v - 3*h + 34 = -2*h. What is the remainder when v is divided by 6?
0
Let s(c) = -2*c**2 - 19*c + 3. Calculate the remainder when 52 is divided by s(-8).
25
Let w = 3 + -6. Let c(i) = i**3 + 3*i**2 + 2*i. Let l be c(w). Let y = l - -12. Calculate the remainder when 11 is divided by y.
5
Let q(u) = -u**3 + 9*u**2 - 9*u + 12. Calculate the remainder when 5 is divided by q(8).
1
Let g(c) = -c**2 - 12*c + 12. Calculate the remainder when 95 is divided by g(-12).
11
Let v = 12 - -7. Suppose -3*j = -5*y + 48, j - v = -2*y - 2. What is the remainder when 35 is divided by y?
8
Let z(r) = r**2 + r + 1. Let q be z(0). Let f(v) = -v**3 + 10*v**2 - 9*v - 11. Calculate the remainder when f(8) is divided by q*(-4)/2 + 25.
22
Suppose 0 = -4*w + 4*v - 8, 4*w + 0*w + 5*v - 37 = 0. What is the remainder when 9 is divided by w?
0
Let k = -11 - -12. What is the remainder when (-440)/(-6) + (-2)/6 is divided by (3 - -18) + 4/k?
23
Suppose -2*d + 36 = 4*p, -3*d + 11 = -p - 43. Calculate the remainder when 71 is divided by d.
17
Suppose 0*v - 3*v + 3*s = -6, -3*v - 4*s + 34 = 0. Calculate the remainder when 23 is divided by v.
5
Let u = 4 + 3. Suppose 5*c = 1 - 16, 4*z - c = 19. Suppose -o - z*o + 10 = 3*r, 3 = -3*o. Calculate the remainder when u is divided by r.
2
What is the remainder when 188 is divided by -4*(-7)/(-112) - 170/(-8)?
20
Let a = 96 + -51. Calculate the remainder when a is divided by 8.
5
Let a = 15 + 0. Calculate the remainder when a is divided by (-64)/(-10) - (-8)/(-20).
3
Let o be 2/(-5) - 102/(-30). Suppose o*t + 96 = 309. Calculate the remainder when t is divided by 24.
23
Let x(j) = 27*j + 2. Calculate the remainder when x(5) is divided by 10.
7
Let t = -40 + 58. Calculate the remainder when t is divided by 11.
7
Calculate the remainder when 9 is divided by ((-1)/3)/((-2)/30).
4
Suppose -2 - 2 = -l. Suppose -9 - l = -f. What is the remainder when (0 - 5)*48/(-10) is divided by f?
11
Let m(a) = -39*a**3 + a**2 + a. Calculate the remainder when m(-1) is divided by (-1)/(20/(-75))*24/9.
9
Suppose -v = -4*i + 451, 2*v + 561 = 5*i - 2*v. What is the remainder when i is divided by 23?
21
Suppose -4*t + n - 134 = -7*t, -25 = -5*n. Suppose 0 = -2*f + 3*f - t. Suppose -18 = 5*p - 93. Calculate the remainder when f is divided by p.
13
Suppose 0*f = 4*f - 76. Let z = -23 + 78. What is the remainder when z is divided by f?
17
Let i = 28 + -20. Let q be (-48)/18*(-3)/2. Let h = q + 18. Calculate the remainder when h is divided by i.
6
Let f(z) = 7*z - 6. Let c = 9 - 6. What is the remainder when f(4) is divided by 74/6 - 1/c?
10
Let c = -35 + 51. Let h = -11 + c. What is the remainder when 8 is divided by h?
3
Let r be (-18)/14 - (-2)/7. What is the remainder when 5 is divided by 20/7 + r/(-7)?
2
Suppose 5*h - 4*b - 116 = -0*b, -5*b = 2*h - 20. What is the remainder when 58 is divided by h?
18
Let v(y) = y**3 - y**2 + 9. Let i = 1 + -1. Calculate the remainder when v(i) is divided by 6.
3
Let v = 8 - -2. Let a = 14 - v. Suppose -d - 3*j = -a, 0 = -5*d + 6*j - 7*j + 20. Calculate the remainder when 10 is divided by d.
2
Suppose -2*d + 27 = 3*x, x + 2*d = -4*x + 45. Suppose -4*r + 6 = 2*l, -5*r + 3*l = -20 - 15. What is the remainder when x is divided by r?
1
Let b(o) be the third derivative of -o**2 - 1/60*o**5 + 0*o + 0 + 5/3*o**3 - 1/24*o**4. Calculate the remainder when b(0) is divided by 6.
4
Let b(l) = -l**2 - 7*l - 4. Let y be b(-6). Let z(u) = 7*u - 1. What is the remainder when 49 is divided by z(y)?
10
Let x = 8 + -4. Suppose 4*v = -6*i + i + 48, -x*v = 3*i - 32. Calculate the remainder when 14 is divided by i.
6
Let t(u) = u**3 + 10*u**2 + 7. Let g be (3/(-9))/((-2)/(-6)). Let o(q) = 11*q**3 - 2*q - 1. Let k be o(g). What is the remainder when t(k) is divided by 2?
1
Suppose -2*c + 57 = c. Let d(t) = -60*t + 5. Let q(o) = 121*o - 11. Let v(p) = -9*d(p) - 4*q(p). What is the remainder when v(1) is divided by c?
17
Let q(x) = x**3 - 4*x**2 - 2*x + 19. Calculate the remainder when q(5) is divided by 21.
13
Let z(c) = 1 - 9 + 4*c - c - 2. What is the remainder when 32 is divided by z(9)?
15
Let q(l) be the second derivative of -l**3/6 - 6*l. What is the remainder when q(-4) is divided by 4?
0
Let d = -49 + 101. What is the remainder when d is divided by 27?
25
Let f = -121 + 180. What is the remainder when f is divided by 8/28 + (-103)/(-7)?
14
Suppose 0*o - 3*o + 12 = 0. Let f(l) = l**2 - 4*l. Let q be f(o). Suppose q = -0*m - 4*m + 112. Calculate the remainder when m is divided by 15.
13
Suppose 2*k - 7*k - 3*c = -100, -2*k - c = -41. Calculate the remainder when k is divided by 8.
7
Let g(f) = f**3 + 8*f**2 - 5*f - 11. Let m be g(-8). Let u = m + 24. Calculate the remainder when u is divided by 18.
17
Let l = 12 + -8. Calculate the remainder when l is divided by 3.
1
Suppose -5*z + 6*z - 131 = 0. Calculate the remainder when z is divided by 68.
63
Suppose 7*s = 5*s + 12. Calculate the remainder when 9 is divided by s.
3
Let d = -2 - -22. Let l(s) be the third derivative of -3*s**4/8 - s**3/3 + 6*s**2. Calculate the remainder when d is divided by l(-1).
6
Let l = -18 - -8. Let p(k) = 3*k**3 - k**2 + k + 1. Let r be p(-1). Let y = r - l. What is the remainder when 10 is divided by y?
4
Suppose 12*t - 1470 = 1026. Calculate the remainder when t is divided by 42.
40
Let t = -24 - -29. Calculate the remainder when 16 is divided by t.
1
Suppose 27 = 2*a - 11. What is the remainder when 37 is divided by a?
18
Let c = 28 + -10. Let f(i) = 4*i**2 + 3*i + 1. Let d(s) = s**3 - 3*s**2 - 5*s. Let z be d(4). What is the remainder when f(z) is divided by c?
17
Suppose -5*h = -0*h - 3*w - 276, 5*h - 282 = w. Let y = -77 - -89. What is the remainder when h is divided by y?
9
Let c = 6 + -5. Let n(j) = -2*j - 2*j**3 + j**2 + 0*j + 4*j + c + 0*j**2. Calculate the remainder when 49 is divided by n(-2).
15
Suppose t + 205 = -4*t. Let i = -22 - t. What is the remainder when 55 is divided by i?
17
Let h(m) = -3*m - 3. Let t be (2 + 0 - 0)/(-1). Calculate the remainder when h(t) is divided by 2.
1
Suppose 0 = c - 5*w - 32, 3*c = w + w + 31. Calculate the remainder when 53 is divided by c.
4
Let s(d) = 4*d**2 - 5*d - 19. Let c(l) = -l**2 + 2*l + 6. Let q(k) = 7*c(k) + 2*s(k). What is the remainder when q(-5) is divided by 5?
4
Suppose -2*d + 2*y - 3 = 1, d + 4*y - 8 = 0. Suppose -h - h + 18 = d. Let p = 11 + -6. What is the remainder when h is divided by p?
4
Let s(g) = -3*g - 2*g**2 - 3*g**3 + 2*g - g + 4*g. What is the remainder when 35 is divided by s(-2)?
11
Suppose -3*s + 6*s = 6. Suppose -4*t - 22 = -s*f, -t - 1 = 5*f - 34. Calculate the remainder when 19 is divided by f.
5
Suppose -t - 7 = 5*g - 74, 0 = -t - 2*g + 64. What is the remainder when t is divided by 8?
6
Suppose 0*g = -3*g + 6. Suppose 2*j - 94 = g*c, -6*j + 199 = -j + 4*c. Calculate the remainder when j is divided by 15.
13
Suppose -11 + 3 = 2*f. Let b(x) = 3*x**2 + 5*x - 3. What is the remainder when b(f) is divided by 7?
4
Let v be 10/25 + (-46)/(-10). Suppose j = v*k - 12, 2*k + 5*j - 30 = -3*k. What is the remainder when 7 is divided by k?
1
Let w(u) = u**3 + 5*u**2 - 2*u - 5. Let f be w(-4). Let d = 35 - f. Let c = 27 - d. What is the remainder when 20 is divided by c?
9
Suppose 3*s + 3 = 9. Suppose 5*b - 34 = s*u, b = -2*u + 1 + 1. What is the remainder when 22 is divided by b?
4
Let v(m) = -95*m**2 + 2*m + 1. Let x be v(-1). Let h = 53 + x. Calculate the remainder when 26 is divided by h/(-3) - 3/9.
12
Let i(b) = -b**2 - 7*b - 7. Let r be i(-5). Suppose -4*u = -r*u - 7. Calculate the remainder when u is divided by 4.
3
Suppose -8*t + 85 = -3*t. Calculate the remainder when t is divided by 9.
8
Let z = -19 + 83. Suppose 0 = -11*g + 22. Suppose 4*f = 2*y + 59 + 3, -g*y + z = 5*f. Calculate the remainder when f is divided by 4.
2
Suppose 4*d - 40 - 49 = -3*p, 110 = 4*p + d. Calculate the remainder when 49 is divided by p.
22
Suppose -3*r - 3*t = -42, -71 = -5*r - 4*t + 1. Let p = 29 - -34. What is the remainder when p is divided by r?
15
Let v be 3/(-3) + 0 + 2. Let s = -7 + -5. Calculate the remainder when 26/v*(-6)/s is divided