nder when 11 is divided by (-40)/(-7) + w/(-7)?
5
Let v(j) = j + 7. Let n(q) = -q**3 + q - 1. Let i be n(1). What is the remainder when 0 + (-60)/(i - 1) is divided by v(4)?
8
Let d(v) = -v + 23. Let a(l) = -l**3 + 10*l**2 - 6*l - 2. What is the remainder when a(9) is divided by d(10)?
12
Suppose -4*o = h - 4, 2*h + 4*o = 7 + 13. Suppose -l - 2*l = 12, 4*v + 3*l - 172 = 0. What is the remainder when v is divided by h?
14
Let d be (-15)/9 - 3/9. Let w = d + 6. Calculate the remainder when 0/1 - -8*w is divided by 11.
10
Suppose 5*r - 417 = -c - 3*c, 475 = 5*c - 3*r. What is the remainder when c is divided by 17?
13
Let n(x) = -4*x. Let p be (6/(-1))/3 - -2. Suppose p = w - 6 - 1. Calculate the remainder when n(-3) is divided by w.
5
Suppose -3*x - 4*o + 291 = 0, 5*x - 213 = 4*o + 304. Let b(d) = -d**2 - 12*d - 1. Calculate the remainder when x is divided by b(-9).
23
Suppose -608 - 148 = -4*i. Suppose 5*d - 190 = -4*p, 3*d = -2*p + i - 73. Let z = d - 22. Calculate the remainder when z is divided by 7.
6
Let b(k) = -k**2 + 7*k + 6. Calculate the remainder when (392/(-6))/(-4) - (-6)/9 is divided by b(7).
5
Let h = -15 + 14. What is the remainder when 11 is divided by h*28/(-4)*1?
4
Suppose 0 = -0*f + 11*f - 264. Calculate the remainder when 91 is divided by f.
19
Suppose 6*y - y - m = 40, 0 = 2*y + 2*m - 28. Suppose t = 2*z - 5*z + y, -5*z + 17 = 2*t. Calculate the remainder when 23 is divided by 2/4 + 45/t.
7
Suppose 0 = -3*d + 1 + 2. Calculate the remainder when d is divided by 1.
0
Suppose 3*h + 0*h = -3. Let y = 1 + h. Let l(m) = m + 5. Calculate the remainder when 8 is divided by l(y).
3
Suppose 5*m + 4*a - 102 = 0, -m + 0*a - 2*a = -18. Suppose -4*b - 4*s = -24, 5*b - 13 = -s + 5. Let l = b + 9. Calculate the remainder when m is divided by l.
10
Let p be 4/((-3)/(-1) - 1). Suppose -n = -p - 3. What is the remainder when 8 is divided by n?
3
Suppose 4*v - 134 = 3*y + 21, -130 = -4*v - 2*y. What is the remainder when v is divided by 12?
11
Let c(p) = 2*p**2 - 4*p - 8. Let v be c(6). Suppose -l + 4*n + v = 0, 5*l + 2*n + 34 = 124. What is the remainder when l is divided by 11?
9
Suppose -3*p = -3, -v - p - 9 + 24 = 0. Calculate the remainder when v is divided by 5.
4
Let a = 8 - 6. Suppose 3*g - 95 + a = 0. What is the remainder when g is divided by 8?
7
Let q = -60 - -85. Calculate the remainder when q is divided by 9.
7
Let w(h) = h + 1. Suppose -19 = -3*q + 2*q. What is the remainder when q is divided by w(6)?
5
Let q be 1773/(-18) - (-2)/(-4). Let a = -53 - q. Calculate the remainder when a is divided by 12.
10
Suppose 11*s + 22 - 165 = 0. What is the remainder when 37 is divided by s?
11
Suppose -4*r - c = -100, 2*c + c - 14 = -r. Calculate the remainder when r is divided by 6.
2
Let b be (-3 + 8)*(-1 + 2). Suppose 0 = b*g - 47 - 63. What is the remainder when 65 is divided by g?
21
Let r(i) = -11*i - 5. Suppose -f - 4*n = 7, -3*f - 4*n + 7 = n. What is the remainder when r(-2) is divided by f?
8
Let s(p) = p**3 + 8*p**2 - p + 1. Calculate the remainder when 26 is divided by s(-8).
8
Suppose 5*n + 3*c = 100, 4*n + 0*n - 4*c - 48 = 0. Calculate the remainder when 82 is divided by n.
14
Let o be ((-1)/2*0)/2. Suppose -4*y + 28 = x, o*y - 5*x - 21 = -3*y. Let i = y - -9. Calculate the remainder when i is divided by 9.
7
Let n = -113 - -161. Calculate the remainder when n is divided by 19.
10
Calculate the remainder when (-7 - 138/(-18))*849/2 is divided by 57.
55
Suppose -5*q = 53 - 138. What is the remainder when 65 is divided by q?
14
Let q(p) = -p**3 + 3*p**2 + 2*p - 1. Let y be q(3). Suppose 20 + 25 = y*w. Suppose -w*o + 45 = -4*o. Calculate the remainder when 17 is divided by o.
8
Suppose 3*g + 2*g = 265. Let t = -28 + g. Calculate the remainder when 73 is divided by t.
23
Suppose 0 = -4*u - g + 4, 0*u - 3*u + 2*g + 3 = 0. Let c(d) = 22*d**3 - 2*d**2 + 1. Calculate the remainder when c(u) is divided by 12.
9
Let w = 7 - 4. Suppose 5*l - 5*r - 2 - 3 = 0, -3*l - 1 = -4*r. Suppose -l*h = -25 - 15. What is the remainder when h is divided by w?
2
Suppose -3*w + 7 = -17. Suppose -3*r = -62 - 7. What is the remainder when r is divided by w?
7
Let r = -8 + 9. Let u be (21/7)/((-1)/r). What is the remainder when 27 is divided by 14/(u/6*-4)?
6
Suppose -w - 2*w = 3*l - 24, 0 = -3*w - l + 28. Suppose -11*r = -w*r - 14. Calculate the remainder when 25 is divided by r.
11
Let z = 23 - -1. Calculate the remainder when 45 is divided by z.
21
Let y(j) = 2*j**2 - 12*j + 13. What is the remainder when 155 is divided by y(6)?
12
Suppose -4*x = -2*z - 22, 5*z + 42 = 2*x + 11. Suppose -b - 2 = -x*b. Suppose 0 = 3*i + b - 4. What is the remainder when 1 is divided by i?
0
Let g = 55 + -17. Calculate the remainder when 111 is divided by g.
35
Suppose f - 3 - 1 = 0. Suppose -25 - 23 = -f*m. Calculate the remainder when m is divided by 7.
5
Suppose -5*l = -y + 2*y - 91, 4*l - 5*y - 67 = 0. Suppose l = p - 17. What is the remainder when p is divided by (-54)/3*(-6)/9?
11
Suppose 0 = 4*m - 6*m + 82. Let o(d) be the third derivative of -d**5/60 - d**4/2 - 13*d**3/6 - 2*d**2. What is the remainder when m is divided by o(-9)?
13
Let d = 0 + 5. Suppose 0 = -3*r + 26 - d. Suppose -5*w + 5 = 0, -4*w = -m + r - 4. Calculate the remainder when 12 is divided by m.
5
What is the remainder when 62 is divided by (-33 - -1)*(-2)/4?
14
Suppose -g + 15 = 5*i, -i - 19 = -0*g - 2*g. Suppose 0 = -2*k + 10 - 0. What is the remainder when g is divided by (12/k)/((-6)/(-15))?
4
Let q = 182 + -165. What is the remainder when 67 is divided by q?
16
Let v(x) = -33*x**3. Let k be 8/28 - 18/14. Let u be v(k). Suppose -4*c = -c - u. What is the remainder when 20 is divided by c?
9
Suppose 3*s - 50 = s. Let a = s + -24. Calculate the remainder when a is divided by 1.
0
Let q = 1 - -4. Suppose q*r - 145 = -5*u, -3*r - 2 = 4. What is the remainder when u is divided by 11?
9
Let w be -33*(-2 - (-10)/6). Let o = w + -17. What is the remainder when (-195)/(-9) - 2/o is divided by 12?
10
Suppose -6*f = -3*f + 6. Let k = f - -3. What is the remainder when (k + 0 - 2)*-17 is divided by 6?
5
Suppose 2*y - 4*d - 385 = -25, 5*y - d - 891 = 0. Let s = y + -123. Suppose 0 = -5*l - s + 150. Calculate the remainder when l is divided by 5.
4
Let a = 65 + -19. Let o = 72 - a. Suppose 0 = -8*z + 4*z + 200. Calculate the remainder when z is divided by o.
24
Suppose 7*r - z + 136 = 4*r, -2*r = -z + 90. Let o = -5 - r. What is the remainder when o is divided by 11?
8
Let i = -14 - -10. Let q be (10/i)/(2/(-4)). Suppose 10 = q*h - 265. What is the remainder when h is divided by 19?
17
Let d(y) = 34*y + 2. Calculate the remainder when 179 is divided by d(1).
35
Let d(m) = 3*m - 4. Calculate the remainder when d(6) is divided by 8.
6
Let v = -20 + 23. Calculate the remainder when 9 is divided by v.
0
Suppose 5*q + 6 = 3*j, -2*j + 4*j + q = 17. Suppose p - j + 4 = 0. Calculate the remainder when 3/(-9) + 61/p is divided by 7.
6
Let t = -28 - -41. Suppose t + 27 = 2*j. Suppose 112 = 2*x + j. What is the remainder when x is divided by 16?
14
Suppose 5*z + 16 = 116. What is the remainder when 2/(-4) + (-158)/(-4) is divided by z?
19
Let b = 5 - 3. Suppose b*x + 19 = 2*s - x, -3*x - 7 = 4*s. Let n = 3 + s. What is the remainder when 14 is divided by n?
4
Let i be ((-2)/4)/(3/12). What is the remainder when i/(-6) + (-32)/(-12) is divided by 1?
0
Let x = -52 + 86. Calculate the remainder when x is divided by 9.
7
Let z = -11 + 20. Suppose -8 = 4*x + 16. What is the remainder when 6*((-10)/x - -1) is divided by z?
7
Let j(i) = -i - 6. Let u = -3 - 5. Let n be j(u). Suppose -n*c + 3*f + 17 = -c, 4*c + f = 68. What is the remainder when 49 is divided by c?
15
Suppose -3*h - 6 = -h + d, 3*d + 7 = 5*h. Suppose -2*t + 67 = 3*f, 4*t = 5*f - 0*f - 119. What is the remainder when f is divided by -1 - (h + 3 + -15)?
11
Suppose 0 = -k + 6*k - 75. Suppose -3*w = -76 - 101. Calculate the remainder when w is divided by k.
14
Let q be 92/(2 + -1) + 0. Let w = q + -51. Calculate the remainder when w is divided by 14.
13
Let z = -11 + 18. Calculate the remainder when 41 is divided by z.
6
Suppose 2*k + 0*k + 20 = h, -5*h = 2*k - 76. Calculate the remainder when h is divided by 5.
1
Let s = -8 + 14. Suppose -s*r = -2*r - 76. What 