divided by a(-20)?
18
Suppose l + w = 128, w = l + 5*w - 140. What is the remainder when l is divided by 21?
19
Suppose 0*b - 2*b + 142 = 2*m, -325 = -5*m + b. Let j = 88 - m. Calculate the remainder when 85 is divided by j.
19
Suppose -60 = -3*n - 3. Suppose 5*r - 20 = -t, -3*r + 4*t = -5 - 7. Suppose -3*k = r - n. What is the remainder when 12 is divided by k?
2
Suppose -u + 116 = -0*u. Suppose -2*j = 5*n - 201, 0*n + 2*j + 189 = 5*n. What is the remainder when u is divided by n?
38
Let o(l) = 3*l**3 - 13*l**2 + 2*l - 6. What is the remainder when o(5) is divided by 11?
10
Let j(r) = -3*r + 2. Suppose 5*w - 6 = 11*w. Calculate the remainder when 11 is divided by j(w).
1
Calculate the remainder when 183 is divided by 45/2 - (1 - (-24)/(-16)).
22
Let o(x) = x**3 + 10*x**2 - 18*x + 4. Let h be o(-11). Let d = h + -65. Calculate the remainder when d is divided by 6.
4
Let g be 3/(-2 + 1) + -139. Suppose 37 = q - 4*h, 0 = 2*q + 5*h - 1 - 8. What is the remainder when -4 - (-4)/((-8)/g) is divided by q?
16
Suppose 0 = -5*y + 2*h + 85, -3*y - h = 4*h - 20. Suppose 0 = 7*v - 248 - 256. What is the remainder when v is divided by y?
12
Let g = 3 - -5. Let c = -74 - -77. Suppose -2*p = 2*a + c*p - 61, -p = 4*a - 95. Calculate the remainder when a is divided by g.
7
Let z be (-1)/(5/30)*-1. Suppose -5 = z*i - 47. Calculate the remainder when 17 is divided by i.
3
Let g = -26 + 34. Let j = -1 + g. Suppose j*x - 148 = 167. What is the remainder when x is divided by 16?
13
Suppose -691*b = -681*b - 5700. What is the remainder when b is divided by 13?
11
Let r(y) be the second derivative of y**5/20 + y**4/3 + 2*y**3/3 + 4*y**2 + 43*y. Calculate the remainder when 28 is divided by r(-3).
3
Suppose d - 15*o - 2 = -18*o, -2*o = -2*d + 20. Calculate the remainder when 71 is divided by d.
7
Let k(n) = 5*n - 23. What is the remainder when k(13) is divided by (3 + (-85)/20)*-12?
12
Let h(c) = -c + 82. Suppose 0 = -11*n + 7*n + 60. Calculate the remainder when h(n) is divided by 24.
19
Suppose 229*v - 456 = 225*v. What is the remainder when v is divided by 34?
12
Let o = -88 - -1120. Calculate the remainder when o is divided by 47.
45
Suppose 29 - 2 = h + 4*c, -c = -2*h + 45. Calculate the remainder when h is divided by 12.
11
Suppose 2*q + 20 = 3*q. Suppose -73 = -4*r - 1. Suppose -r*d = -13*d - 195. What is the remainder when d is divided by q?
19
What is the remainder when 7/14*238 - 1 is divided by 15?
13
Let b = 35 - 29. Suppose -b*r = -2*r - 104. Calculate the remainder when 47 is divided by r.
21
Suppose 4*o - 102 = 66. Suppose 0 = 5*i + 3*z - 55, 0 = 3*i - 4*z + 4 - 37. Calculate the remainder when o is divided by i.
9
Let s be 1*9*2/6. Suppose 3*v = 12, 2*v = 8*p - s*p - 82. What is the remainder when 53 is divided by p?
17
Let g(j) = j**2 - 4*j + 4. Let u(t) = t**2 + 7*t + 3. Let m = -21 + 14. Let d be u(m). What is the remainder when 4 is divided by g(d)?
0
Let d be (4 + -3 + 122)/(-1 - -2). Suppose 0*l = 5*c + 3*l + 246, -3*l = 6. Let u = c + d. What is the remainder when u is divided by 19?
18
What is the remainder when 348 is divided by -329*(-10)/70 + (-6)/2?
40
What is the remainder when 60/48 - 2163/(-4) is divided by 26?
22
Suppose 4*f + 4*m = 444, 3*f + 20*m - 337 = 19*m. Calculate the remainder when f is divided by 104.
9
Suppose -35*z = 60 - 1180. Calculate the remainder when 159 is divided by z.
31
Suppose -3*h + 5*h - 4 = 0. Let j(f) = -2*f + 11. Let a be j(0). Suppose h*b - v = a, -1 + 0 = 2*b + 3*v. What is the remainder when 14 is divided by b?
2
Suppose 7*y - 9*y + 4*w + 22 = 0, 5*y = 2*w + 31. Calculate the remainder when 158 is divided by y.
3
Let y(x) = 2*x**2 + 5*x - 19. Let o = 189 + -110. Calculate the remainder when o is divided by y(3).
9
Let q = -87 + 115. Calculate the remainder when q is divided by 16.
12
Suppose 0 = 12*n - 375 - 21. What is the remainder when n is divided by 10?
3
Let y = -39 + 59. What is the remainder when 357 is divided by y?
17
Let s(a) = 4*a - 35. Calculate the remainder when 53 is divided by s(17).
20
Suppose 3*j - 2*u - 243 = u, 3*j - 273 = -3*u. What is the remainder when j is divided by 81?
5
Let p(y) = 117*y + 373. What is the remainder when 767 is divided by p(-3)?
19
Suppose 0 = -3*l - 59 - 64. Suppose 2*g - s + 234 = -g, 2*s = g + 73. Let h = l - g. Calculate the remainder when h is divided by 5.
3
Let n(o) = -o + 13. Suppose -5*l - 48 = 12. Let d = l - -27. Calculate the remainder when d is divided by n(5).
7
Let r(m) = 11*m + 146. What is the remainder when 35 is divided by r(-11)?
10
Suppose 5*f + 864 = 8*f. What is the remainder when (-4)/(-18) + f/162 is divided by 1?
0
Suppose f + 2*f + 4*w - 233 = 0, -4*f + 2*w + 296 = 0. What is the remainder when f is divided by 26?
23
Let b = -79 + 114. Let z be (-3)/((-36)/8)*6. Suppose -z*i + 5 = -71. Calculate the remainder when b is divided by i.
16
Suppose 181 - 1 = 5*v. Let y be v/54 + (-34)/(-3). Suppose -1 = -i + y. Calculate the remainder when 23 is divided by i.
10
Suppose -4*d = -0*d + 4*h + 24, 2*d + 12 = h. What is the remainder when 65 is divided by -4 + 2 + (-3)/(d/52)?
17
Suppose 32*n - 19898 = -3866. What is the remainder when n is divided by 101?
97
Let b(q) = q**2 + 9*q + 7. Let h be b(-9). Let m = h + -4. Suppose 5*n + m*r = 219, -3*n + 123 + 6 = r. Calculate the remainder when n is divided by 11.
9
Suppose 17*x + 349 = 1131. What is the remainder when 242 is divided by x?
12
Suppose -3*h + 717 = 3*v, -24*h + 22*h = 10. What is the remainder when v is divided by 8?
4
Suppose 0 = -4*a + 718 - 142. Let c(i) = -101*i**2 - 709*i + 15. Calculate the remainder when a is divided by c(-7).
28
Suppose 3*j = 0, 3*m - 5*j + 4*j = 3. Let v(g) = 15*g**2 - g + 1. Calculate the remainder when 88 is divided by v(m).
13
Let f = 385 - 202. Suppose 3*w + 155 = 5*d, 3*d - 93 = 56*w - 53*w. Calculate the remainder when f is divided by d.
28
Let k = -1024 + 1040. Calculate the remainder when 364 is divided by k.
12
Let r(y) = -120*y - 172. What is the remainder when r(-8) is divided by 88?
84
Let h = 11 + 11. Suppose -4*t + 38 = -h. Suppose 4*w - 159 = -t. What is the remainder when w is divided by 20?
16
Let v = 76 - 30. Let u = -7388 - -7400. What is the remainder when v is divided by u?
10
Let d(x) = 8 + 9*x**3 + 6*x**2 - 10*x**3 + 1. What is the remainder when 79 is divided by d(6)?
7
Suppose -85 = -3*v + 17. Calculate the remainder when v is divided by ((-19)/(-2) + 1)*20/30.
6
Let v = 2914 - 2188. Calculate the remainder when v is divided by 26.
24
Calculate the remainder when 6/(-27) + (-438)/(-27) is divided by 7.
2
Let l(p) = -10*p - 14. Let g be l(-7). Suppose 11*x - g = 3*x. What is the remainder when 12 is divided by x?
5
Let r = -627 + 658. What is the remainder when 246 is divided by r?
29
Suppose 0 = -32*p + 29*p + 5*n + 1079, 4*p + 2*n = 1430. What is the remainder when p is divided by 14?
8
Suppose -3*o = -35 - 82. Let s = o + 40. Calculate the remainder when s is divided by 20.
19
Suppose -4*l + 1 = -23. Suppose 19 = 4*o - 1. Let r(z) = z**3 - 6*z**2 + 7*z - 8. What is the remainder when l is divided by r(o)?
0
Calculate the remainder when 143 is divided by 18585/1890 - (5/6 - 1).
3
Suppose 4*l + n = 3*n + 72, l - 27 = 5*n. Calculate the remainder when 389 is divided by l.
15
Suppose -4*k - 20 = 36. Let h = 164 + -175. Let o = h - k. What is the remainder when 3 is divided by o?
0
Let z = 136 + -104. Calculate the remainder when 58 is divided by z.
26
Suppose -36 - 27 = -7*l. What is the remainder when 18 is divided by l?
0
Let o be (36/3)/3 - 0. Suppose 0*m - 2*m = 3*p - 71, o*m - 137 = -p. Calculate the remainder when m is divided by (21/12)/(1/4).
6
Suppose 6*i = 7*i - 16. Let j = i - 9. Calculate the remainder when 9 is divided by j.
2
Let v be (1 - 0)/((-3)/(-3)). Let c(h) = h**3 - 5*h**2 + 13*h - 17. What is the remainder when (-2 - -1)/(v/(-37)) is divided by c(4)?
18
Let m(j) = -j**2 + 1. Let h be m(1). Suppose -4*y + 30 = 2*n, h*y - 9 = -y - n. Calculate the remainder when 8 is divided by y.
2
Let u(s) = 2*s**2 - 48*s - 47. Suppose 0 = a - 1 - 10. What is the remainder when a is divided by u(25)?
2
Suppose -22 = -2*v - 4*h, -5*v + 85 = 3*h + h. What is the remainder when 55 is divided by v?
13
Suppose 2*u - x - 438 = -3*x, 2