 5*q + 2733, -13*q + 2733 = 3*j - 9*q. What is the remainder when j is divided by 24?
23
Suppose 116*n - 78641 = 97*n. What is the remainder when n is divided by 180?
179
Suppose -6*n + 9*n = 135. Suppose 253 = 2*l - 99. What is the remainder when l is divided by n?
41
Let l(a) = -3*a**3 - 11*a**2 + 10*a - 14. Let x be l(-9). Suppose -9*b = -b - x. What is the remainder when b is divided by 25?
24
Suppose -26*n + 12*n + 1042 + 596 = 0. Calculate the remainder when n is divided by 35.
12
Let x(f) = -f**2 - 29*f + 37. Let u be x(-14). Let w = 248 - u. What is the remainder when 3 is divided by w?
0
Suppose 5*w + 38 = 2*w + 2*a, 46 = -5*w - a. Let y be 1/(-2) - w/4. Suppose 165 = y*q + 3*q. What is the remainder when q is divided by 12?
9
Let k = 5182 + -2305. What is the remainder when k is divided by 18?
15
What is the remainder when 1*(-1)/2 - (0 - 1991/2) is divided by 44?
27
Let t = -46367 - -46415. Suppose -5*a + 5*w + 65 = 0, w - 20 = -2*a - 3*w. What is the remainder when t is divided by a?
0
Suppose 0 = -4*o - o + 265. Let n = o + -14. Suppose -4*s + 50 = k, 4*s - 115 = 3*k - 41. Calculate the remainder when n is divided by s.
11
Let s(p) = p**3 + 25*p**2 + 22*p - 23. Let n be s(-24). Let v(i) = i**2 - 14*i - 22. Calculate the remainder when v(n) is divided by 51.
49
Let j be (4/8)/((-1)/(-2)). Suppose -w - j + 16 = 0. What is the remainder when 37 - 43 - (1 + -66) is divided by w?
14
Let l = -3525 + 3574. What is the remainder when 2250 is divided by l?
45
Let k(x) = 72*x + 530. What is the remainder when k(-7) is divided by 26?
0
Suppose -288*v = -289*v - 6, 3*i - v - 204 = 0. Calculate the remainder when 234 is divided by i.
36
Suppose -18*i + 40 + 8 = -6*i. What is the remainder when 358 is divided by i?
2
Suppose -4*d + 326 = 3*z, -2*z - 134 = -3*z + 5*d. Let n(g) = -7*g + 71*g**2 + 19*g + 69*g**2 - 141*g**2. What is the remainder when z is divided by n(10)?
14
Let f(h) = -2*h - 30. Let l be f(-15). Suppose 25*z - 3*j + 1 = 24*z, l = -4*j + 20. Calculate the remainder when 67 is divided by z.
11
Let j(i) = -i**3 + i**2 + 108. Suppose v + a - 50 = 0, -26*v + 36*a + 701 = -21*v. What is the remainder when j(0) is divided by v?
47
Suppose -11*y = y - 36. Suppose 0 = 3*k + y*g, 0 - 4 = -4*k - 2*g. Calculate the remainder when (240/32)/(1 - 1/k) is divided by 9.
6
Let c = 83 + -20. Suppose 10*v - 903 - 947 = 0. Suppose -20*d + v = 25. Calculate the remainder when c is divided by d.
7
Let a = -170 + 194. Calculate the remainder when 131 is divided by 6 + -1 - a/(-4).
10
Let s = 734 - 700. Calculate the remainder when s is divided by ((-2)/(-3))/((-2)/(-27)).
7
Let v be 2/7 + (-24)/(-14). Let q be 12/(-18) - (6430/(-3))/v. Suppose 22*m - q = 5*m. Calculate the remainder when m is divided by 22.
19
Suppose -t = -q + 1021, 4*t - 6022 = -2*q - 3980. Calculate the remainder when q is divided by 151.
115
Suppose 2*p + o = 2*o + 13, -4*p = 3*o - 11. Suppose -92 = -p*s - 7. Calculate the remainder when 628 is divided by s.
16
Calculate the remainder when 1706 is divided by 3 + 14/8*196 - (7 - 1).
6
Let b = 214 - 145. Suppose -23 + 83 = 12*y. Suppose 0 = -6*q + y*q + 8. What is the remainder when b is divided by q?
5
Let i = -68 + 71. Suppose i*u = -2*u + u. Suppose 10 = 2*v - u. Calculate the remainder when 13 is divided by v.
3
Let v(p) = p**3 - 17*p**2 - 10*p - 131. Suppose 94 = 4*b + 2*h + 16, -5*b - 4*h + 99 = 0. What is the remainder when v(b) is divided by 15?
11
Let y = -256 + 261. Suppose 24 = p - 2*m, 0 = y*p - 0*p + m - 164. Calculate the remainder when 94 is divided by p.
30
Let u be 4*18/8 - -15. Calculate the remainder when (3430/u - 18/72)*3 is divided by 72.
68
Let p = 3725 + -3709. What is the remainder when 783 is divided by p?
15
Let k(n) = 2*n**2 + 6*n - 5. Let h be k(-4). Suppose -h*b + 432 = 5*b. What is the remainder when b is divided by 41?
13
Suppose 4*r - 4*z = 235 + 697, -5*r + 4*z + 1168 = 0. Calculate the remainder when r is divided by ((-4)/(-10) - (-54)/(-10))*-8.
36
Suppose 0 = -2*s + r + 1182, -s + r + 605 = 4*r. What is the remainder when s is divided by 75?
68
Suppose 3*j - 18*l + 21*l = 216, j = 4*l + 52. What is the remainder when 301 is divided by j?
29
Suppose -248*b + 393 = -234*b - 111. What is the remainder when 236 is divided by b?
20
Suppose 28*x + 78 = 31*x. Suppose 0 = -3*v + g + x, 3*v - 7*v - g + 37 = 0. Suppose -7*y + 2*y + 250 = 0. What is the remainder when y is divided by v?
5
Let n be (-60)/(-3)*128/80. Calculate the remainder when 112 is divided by 6/(-8) + (1240/n)/1.
36
Suppose -63*x + 17029 + 73017 = 2917. Calculate the remainder when x is divided by 73.
69
Let g(k) = -k**2 - 127*k - 22. Let o(r) = 43*r + 8. Let v(z) = 2*g(z) + 7*o(z). Calculate the remainder when 115 is divided by v(23).
10
Suppose -8*p + 3*i + 399 = -3*p, 5*i = -p + 63. Suppose 3*s - 9 = 3. Suppose s*b - 10 - 102 = 0. What is the remainder when p is divided by b?
22
Suppose 7*q = 5*q + 14. Let s(z) = -3*z. Let t be s(0). Let u = t + q. What is the remainder when u is divided by 4?
3
Suppose -39*n = -36*n - 90. Let o = n - -2. Suppose 2*a + j = 14, -4*a = -a - 4*j - 21. Calculate the remainder when o is divided by a.
4
Suppose 3*j + 213 = -4*w + 2*j, -3*w - 161 = 2*j. Let b = 61 + w. Let p(u) = u**3 - 9*u**2 + 12*u - 5. What is the remainder when p(b) is divided by 10?
7
Suppose 8 - 16 = -m + 2. What is the remainder when 1264 is divided by m?
4
Let w(h) = -3*h - 6. Let o(v) = v - 1. Let k(b) = 5*o(b) + w(b). Suppose r - 16 = -2*y - r, -4*y = 5*r - 37. What is the remainder when k(11) is divided by y?
2
Suppose -5*a + 8 + 7 = 0. Suppose 0 = y - 2*y - 2*w + 1, a*y - 4*w = 3. What is the remainder when 88 is divided by (y - 11/(-7))/((-8)/(-56))?
16
Let r = -234 - -40. Let z = -33 - r. Calculate the remainder when z is divided by 41.
38
Let v be (-3 - 183/9)/((-1)/3). Suppose 3*p - 5*w = 58, 2*w = 4*p - w - v. Suppose 3*m - 24 = -m. Calculate the remainder when p is divided by m.
4
Let g = -3 - -69. Suppose -13*i + 118 = 4*d - 10*i, -5*d + 146 = 3*i. Calculate the remainder when g is divided by d.
10
Suppose 0 = -44*d + 30*d + 112. Suppose 5*o = 79 + 251. Let t = o + -35. What is the remainder when t is divided by d?
7
Suppose 4*u - 6 = -3*h, -h - 2 = -2*h. Suppose u = -14*g + 13*g + 68. What is the remainder when g is divided by 56?
12
Let h = 18902 + -18777. Calculate the remainder when h is divided by 27.
17
What is the remainder when (-6 + (1 - -1))*74/(-8) is divided by -1 - (-21 - -22)*(6/2 - 8)?
1
Let o = -8576 + 8748. What is the remainder when 1203 is divided by o?
171
Suppose 36 = 2*p - 10. Calculate the remainder when p is divided by 20 - ((-23)/(-3) - 300/180).
9
Suppose 6*f - 5 = t + f, -5*t - 4*f = -33. Suppose 4*p + 1 = t*p. Suppose -5*r + 81 = p. What is the remainder when 43 is divided by r?
11
Suppose 5*c - j = 260 + 175, 0 = -4*j. Let l = -8061 - -8076. Calculate the remainder when c is divided by l.
12
Let u be (7/(-2))/(9/36). Suppose -2*i + 3*i - 26 = 0. Let w = i + u. What is the remainder when 46 is divided by w?
10
Suppose -756 = d + l - 824, -2*d + l = -148. Calculate the remainder when (-5379)/(-15) - 4/(-10) is divided by d.
71
Let y(i) = -58*i - 1258. What is the remainder when y(-28) is divided by 32?
14
Let v = 282 - 277. Suppose -21 + 9 = 4*m, -2*m - 236 = -v*d. Calculate the remainder when 733 is divided by d.
43
Suppose -149*q - 773 + 9713 = 0. What is the remainder when 4858 is divided by q?
58
Let d(n) = 2*n**2 + 24*n - 21. Let j be 2 - 1 - 2 - 1*-1. Suppose j*k + 4*k + 47 = -5*g, -3*k - g = 38. Calculate the remainder when 27 is divided by d(k).
2
Suppose q - 2 = -b + 1, b - 9 = q. Suppose 2*r - n + 105 = b*r, 3*r = -4*n + 69. Suppose -f - 3*f + 412 = 0. What is the remainder when f is divided by r?
22
Let c(o) = 2*o**3 - 2*o**2 - 31*o + 75. What is the remainder when c(4) is divided by 17?
13
Let y = 1104 - 1063. Suppose 5*i - 4*s = -0*s + 44, 0 = 3*i + 5*s - 19. Suppose 4*v + 60 = i*v. What is the remainder when y is divided by v?
11
Let i(q) = -3*q**3 + 21*q - q + 29*q - q**3 - 47*q. Suppose 2 = -5*j - 3. Calculate the remainder when 15 is divided by i(j).
1
Let s be 6 + (-1)/(-4)*-4. Suppose 2*a - 2*y - 62 = 3*y, -5*y - 125 = -s*a. What is the remainder when 100 is divided by a?
1