
12
Suppose 2*o - 21 = -o. Calculate the remainder when 34 is divided by o.
6
Let s(d) = -d**3 + d**2 + 1. Let g(i) = -7*i**3 + 11*i**2 + 5*i + 10. Let a(n) = -g(n) + 6*s(n). Calculate the remainder when 3 is divided by a(6).
1
Let m(w) = -w. Let f be m(-5). Suppose -f*r - 18 = -108. Let c = 19 + 15. Calculate the remainder when c is divided by r.
16
Let k(x) = -x**3 + 5*x**2 + 6*x + 3. Let t be -1 + 0 - (-3 + -2). Suppose 0 = -t*i + 47 + 21. Calculate the remainder when k(5) is divided by i.
16
Suppose 3*o + 2*r - 41 = 0, -5*o - 7*r + 60 = -2*r. Calculate the remainder when 48 is divided by o.
14
Let u be 1/3 - 26/(-3). Suppose 2*f + 3 - u = 0. Suppose 2*w - 79 = f. Calculate the remainder when w is divided by 11.
8
Suppose 2*f = k - 21, -3*k - 2*f = -3*f - 58. Let p = -55 - -94. Let d = p - k. Calculate the remainder when d is divided by 7.
6
Let n(p) = p**2 - p + 4. Let u be 2 + 6*3/6. What is the remainder when n(u) is divided by 13?
11
Let r be (8/2 - -1)/1. Let m(h) = 103*h. Let y be m(1). What is the remainder when 41 is divided by y/r + 6/15?
20
Suppose -4*n - n = 0. Let a(k) = 13*k**2. Let q be a(1). Suppose -2*t + t + q = n. Calculate the remainder when 24 is divided by t.
11
Let h(s) = s**3 - 7*s**2 + 4*s - 1. Let r = -24 - -16. Let g(q) = -q + 7. Calculate the remainder when h(7) is divided by g(r).
12
Suppose 13 + 0 = d. Calculate the remainder when 63 is divided by d.
11
Suppose n = 3*k - 8, 0 = 4*k - 2*n - 2*n. Suppose 0 = -5*r - 0*r + 30. What is the remainder when r is divided by k?
2
Suppose -35 + 8 = -3*l. What is the remainder when l is divided by (3 + 4 - 2)*1?
4
Let t(x) = x**3 - 11*x**2 + 9*x + 13. Let y be t(10). Suppose 26 = y*j - 1. Calculate the remainder when 25 is divided by j.
7
Let w(l) = -l + 8. Let b be 1*(-12)/(-9)*3. Let c be w(b). Suppose 5*d - c*p - 42 = -6, 4*d + 3*p - 35 = 0. Calculate the remainder when 23 is divided by d.
7
Let z = -17 - -26. Suppose q + 5 = 0, -2*l + q + 111 = -4*q. Calculate the remainder when l is divided by z.
7
Let j = -18 + 21. What is the remainder when 23 is divided by j - 3 - (-5 + -1)?
5
Let b(w) = -21*w - 1. Calculate the remainder when b(-2) is divided by 11.
8
Let l(x) = -42*x - 2. Let a(d) = d**2 - 12*d + 8. What is the remainder when l(-2) is divided by a(13)?
19
Let g be (5/3)/((-1)/(-3)). Suppose 2*l - 22 = -d - 4, -3*l = g*d - 76. What is the remainder when 25 is divided by d?
11
Let q(m) = 4*m**2 + 3. What is the remainder when q(2) is divided by 5?
4
Let w(p) = p**2 + 14*p + 49. Calculate the remainder when w(-14) is divided by 13.
10
Let x = 33 - 28. What is the remainder when 7 is divided by x?
2
Calculate the remainder when 31 is divided by ((-3)/6)/((-3)/96).
15
Suppose 3*b - 16 - 8 = -3*u, 4*b = -5*u + 38. Suppose d = -0*d - u. What is the remainder when 16 is divided by d/(-21) - 61/(-7)?
7
Suppose 0 = -4*i + 16 + 36. Calculate the remainder when 23 is divided by i.
10
Calculate the remainder when (-1)/(-3)*(7 - -167) is divided by 30.
28
Let d = -4 - -11. Let p(y) = 10*y - 2. What is the remainder when p(d) is divided by 18?
14
Suppose 0 = 2*a - 2*i - 32, 3*a - 3*i - 46 = i. Calculate the remainder when 34 is divided by a.
16
Calculate the remainder when 15 is divided by 0 + (6/5)/((-3)/(-10)).
3
Suppose -4*w - 14 = -2. Let d(c) = c**3 + 4*c**2 - c - 4. What is the remainder when 14 is divided by d(w)?
6
Suppose -75 = -v - 12. Suppose -a + 2*p - 36 = -3*a, p - v = -4*a. Calculate the remainder when 59 is divided by a.
14
Let n(j) = 2*j**2 + 3*j - 7. Let c = -15 + 9. Let z be n(c). Suppose -4*k = -k + 9, 5*u - 4*k = z. What is the remainder when u is divided by 4?
3
Let j(q) = q**3 - 2*q**2 - 14*q + 9. Calculate the remainder when 54 is divided by j(5).
12
Suppose -3*k - 5*i - 4 = -56, k - 5*i = 4. Calculate the remainder when 26 is divided by k.
12
Let p(x) = -x + 3. Let w be p(-6). Suppose 5*c - w*c + 24 = 0. Calculate the remainder when 34 is divided by ((-4)/c)/((-1)/18).
10
Calculate the remainder when 37 is divided by (4/8)/((-1)/(-20)).
7
Let f(d) = -15*d**3 - 2*d**2 + 1. Suppose 2*t + 0 = -2. What is the remainder when f(t) is divided by (5/4)/(3/12)?
4
Suppose 3*m - 101 - 109 = 0. Calculate the remainder when m is divided by 18.
16
Suppose 2*y = -4*f - 2*y + 292, 145 = 2*f + 3*y. What is the remainder when f is divided by 15?
14
Let h(c) = -22*c - 2. Let d be h(2). Let j = 71 + d. What is the remainder when j is divided by 14?
11
Suppose 0 = 3*k + 4*o - 35, 5*o = -5*k + 3*k + 28. Let r = k - -34. What is the remainder when r is divided by 9?
7
Suppose -5*g + 84 = 24. What is the remainder when 22 is divided by g?
10
Suppose -s - 2*s = -3. Let i = 1 + s. Calculate the remainder when 62/22 + 4/22 is divided by i.
1
Suppose 2*j = 0, 0 = 5*d + 3*j - 166 + 36. Suppose 14 = 3*v - 13. Calculate the remainder when d is divided by v.
8
Suppose -5*h + 8*h + 24 = 0. What is the remainder when (-104)/(-10)*(-20)/h is divided by (-50)/(-6) - (-2)/3?
8
Let v = -41 + 58. Calculate the remainder when 31 is divided by v.
14
Suppose 2*v = -3*d + 5*v + 30, 4*d - v - 25 = 0. Suppose -4*q + c - 3*c = 224, 4*c - 293 = d*q. What is the remainder when 6 is divided by q/(-12) - 6/8?
2
Suppose 2*w + 4*w - 36 = 0. What is the remainder when 22 is divided by w?
4
Suppose 4*l + 2*i - 124 = -2*i, 43 = l - 2*i. Calculate the remainder when l is divided by 12.
11
What is the remainder when 10 is divided by 5/1 + (1 - 2)?
2
Suppose 5*m - 3*q - 175 = -66, 2*m = 4*q + 38. Suppose -m = 3*p - 77. Calculate the remainder when p is divided by 7.
4
Suppose 0 = 9*w - 11*w + 4. Suppose -5*i + 2 = -w*f + 27, 3*f + 4*i = 72. Let q(b) = 7*b - 3. What is the remainder when q(6) is divided by f?
19
Let g = 124 + -84. Suppose 2*h = -3*h + 100. Let o = h + -6. What is the remainder when g is divided by o?
12
Let p(o) = o + 2. Let s(f) = -12*f + 2. What is the remainder when s(-2) is divided by p(7)?
8
Suppose 5*t - 3*n = -0*n + 68, -2*t + 22 = 4*n. What is the remainder when -4 + (3 - 2) + 26 is divided by t?
10
Let q = -8 - -14. Suppose 0 = 4*r + 3*z + 14, -4 = -r + 6*r - 3*z. Calculate the remainder when q is divided by r/4*-14 - 3.
2
Suppose 2*b = 2*y - 92, -y - b = y - 86. Suppose -u - 75 = -4*q, -y - 30 = -4*q + 2*u. Suppose 97 = 2*z - 13. What is the remainder when z is divided by q?
17
Let r be -10 - -6 - -7*1. Suppose 0 = 4*h, r*s - 3*h + 5*h = 255. Calculate the remainder when s is divided by 22.
19
Suppose -3*d + 9 = -12. Suppose -5*y - 4*c = -75, 0 = -3*y - 3*c + 5*c + 67. What is the remainder when y is divided by d?
5
Let v(k) be the second derivative of k**3/6 + 2*k**2 + 7*k. Calculate the remainder when v(7) is divided by 6.
5
Suppose -5*b - 3*z = -20, b - 7 = -2*z - 3. Let y be (-3 + 4)*15*3. Suppose 3*m + y = 6*m. Calculate the remainder when m is divided by b.
3
Suppose -n - 9 = -2*y, -4*n = -3*y + 2*y - 6. Suppose 0 = 2*b - 0*b - y. Let w = 8 + b. What is the remainder when w is divided by 6?
5
Suppose 0 = -3*l - l + 116. Suppose 4*g - 55 = -2*t + t, -t = 3*g - 40. What is the remainder when l is divided by g?
14
Let s(n) = -n + 40. Let d be s(0). Suppose 7*q - 11*q + d = 0. What is the remainder when q is divided by 4?
2
Let j(t) = -t + 11. Let a be j(7). Suppose 5*g = a*o + 191, -4*g - g + 5*o = -195. What is the remainder when g is divided by 12?
11
Let b(c) = -3*c**3 - 2*c**2 + 4*c. What is the remainder when b(-3) is divided by 18?
15
Let d = -18 + 28. Calculate the remainder when 19 is divided by d.
9
Let x be 37 - (0 + -3 - 0). Suppose 4*n - x = 32. Calculate the remainder when 52 is divided by n.
16
Suppose 2*g - 45 = -2*m - 7, -5*g + m = -71. Calculate the remainder when 44 is divided by g.
14
Let t(b) = -11*b - 6. Calculate the remainder when t(-5) is divided by 10.
9
Let z = 22 + 27. Calculate the remainder when z is divided by -1*2*-6 - -1.
10
Let v(d) = d**3 + 10*d**2 + 11*d + 10. Let o be v(-7). Suppose -5*h + 3*h = -o. Calculate the remainder when h is divided by (1 - 1) + -1 + 15.
12
Let x(j) = -4 + 7 + j + j**2 - j**3 + 2*j. What is the remainder when x(-2) is divided by 5?
4
Suppose -4*b = -2*b - 318. Suppose 4*j - 4*n - 168 = 0, -4*j - 5*n + b = -27. Calculate the remainder when j is divided by 15.
14
Suppose 0 = -4*o - 65 + 557. Suppose 59 + 28 = 3*s - 2*v,