ppose q = -3*v - 4 + 16. Suppose -2*a - 2*a = -8. Calculate the remainder when v is divided by a.
0
What is the remainder when (-11911)/(-86) + 2/4 is divided by 24?
19
Let u be -108 - (0 + -2)*-2. Let n = u - -126. What is the remainder when 21 is divided by n?
7
Suppose -21 = 3*g - 0. Let i = -2 - g. Calculate the remainder when 13 is divided by i.
3
Suppose 9*p - 5*p = -5*n + 6, -5*n = p + 6. Let o(i) = -5*i**3 - i**2 + 2*i. Calculate the remainder when o(n) is divided by 10 - (-1)/(-1 + 0 - -2).
10
Let n(l) = -l**3 - 6*l**2 - 12*l - 7. Let a be n(-6). What is the remainder when 69 is divided by (28/5)/(26/a)?
13
Suppose -2*z = 7*z - 18. Suppose -z*y + 138 = w, 110 = w + 5*y - 13. What is the remainder when w is divided by 30?
28
Suppose -q + 1 = -2*z + 5, -z = 3*q - 16. What is the remainder when 90/z - 2/(-4) is divided by 12?
11
Suppose 2*g - 3*h = -2*g + 76, 0 = g + 5*h + 4. Calculate the remainder when 150 is divided by g.
6
Let i(q) = -16*q**3 - q - 1. What is the remainder when i(-1) is divided by (2 - 304/32)/(3/(-4))?
6
Suppose 0 = -45*r + 257 + 238. Calculate the remainder when 380 is divided by r.
6
Let z = -939 + 1024. What is the remainder when z is divided by 18?
13
Suppose -15*y + 50 = -10*y. Let o = y + -17. Let i(v) = -4*v - 9. What is the remainder when i(o) is divided by 5?
4
Suppose 0 = p + 5*s - 29, 4*s + 16 = p - 4. Let y = p + -28. What is the remainder when (-1074)/(-24) - (-3)/y is divided by 17?
10
Let v = 45 - 46. Calculate the remainder when 38 is divided by (v - -2)*((-1 - -12) + -1).
8
Let b = 3160 - 1577. What is the remainder when b is divided by 13?
10
Let w = 234 - 776. Let b be w/(-4) + 3/(-6). Suppose 7*k - 744 = -b. What is the remainder when k is divided by 22?
21
Suppose -643 - 959 = -9*o. What is the remainder when o is divided by 61?
56
Suppose 3*p - 6 - 38 = -5*z, -5*z = -3*p + 4. Let w(g) = -g + 2. Calculate the remainder when p is divided by w(0).
0
Suppose n + 3*n = 328. What is the remainder when 7/(-14) - n/(-4) is divided by 4/1 - 9/(-3)?
6
Suppose -o = 10 - 4. Let a(k) = -2*k + 1. What is the remainder when 37 is divided by a(o)?
11
Suppose -4*x - 4 = 0, -3*n - 63 = -7*n - x. Let f = 1887 - 1825. Calculate the remainder when f is divided by n.
14
Suppose 0 = -2*p - 1 - 11. What is the remainder when 109 is divided by (-2)/1*(-14 - p)?
13
What is the remainder when 59 is divided by 0 + 15 + 2/1?
8
Suppose -147*s + 144*s = -1164. What is the remainder when s is divided by 79?
72
Let d = -46 - -64. Let s(n) = -n**3 + 18*n**2 + 15*n - 20. What is the remainder when s(d) is divided by 42?
40
Suppose 0 = -3*d + 5*d - 8. Suppose 0 = a + 1, -2*a + 4 = d*r - 2. Suppose r*l - 15 = -l. What is the remainder when 7 is divided by l?
2
Let n(z) = -11*z**2 - 17*z**3 + 12*z**2 - 2*z**3 - 5*z**3. Let h = -107 - -156. Calculate the remainder when h is divided by n(-1).
24
Suppose -31*d + 26*d - 655 = 0. Let q = d + 184. Calculate the remainder when q is divided by (28/(-10) + 0)*-5.
11
Suppose -3*h - 5*f + 61 = 39, 4*h - 76 = 5*f. What is the remainder when 445 is divided by h?
11
What is the remainder when 63 is divided by 46/4*(12 - 10)?
17
Let t = -103 + 144. Calculate the remainder when 156 is divided by t.
33
Suppose 61 - 532 = -3*k. What is the remainder when k is divided by 53?
51
Let t be (11/(-33))/((-2)/60). Suppose -7*p + 2*p + t = 0. What is the remainder when 8 is divided by p?
0
Let f(h) = 7*h**2 + 2*h - 9. Suppose w = 5*v + 66, -v = -4*v + 4*w - 26. Calculate the remainder when f(2) is divided by 2 - 7/(v/20).
11
Let o = -22 + 34. Suppose -8*w + 843 = 467. Calculate the remainder when w is divided by o.
11
Suppose -695 = -34*t - 83. Suppose -10 + 26 = 4*m. What is the remainder when t is divided by m?
2
Let b(g) = 2*g**2 + 3*g + 2. Let h be -4 - (0 + -3 - -1). Let i be b(h). Suppose 20 = -i*w + 88. What is the remainder when w is divided by 9?
8
Suppose 2*k + k - 12 = 0, -5*v = -k - 211. Calculate the remainder when 53 is divided by v.
10
Suppose f = -5*t - 15 + 5, -4*t - 2 = 2*f. Let h(r) = r - 41. Let u be h(38). What is the remainder when u/(-15) + 424/f is divided by 22?
19
Suppose 6*d = 3*b + 2*d + 348, 116 = -b - 4*d. Suppose -k - 90 = k. Let c = k - b. What is the remainder when c is divided by 24?
23
Suppose 4*x + 152 - 1443 = g, 2*x = g + 645. What is the remainder when x is divided by 13?
11
Let k(w) = w**3 + 12*w**2 + 40*w + 47. What is the remainder when 24 is divided by k(-7)?
0
Suppose -4*d + 9 = s, d - 3*s + 19 = s. What is the remainder when 46 is divided by 3/d + 8 + -3?
6
Suppose 2*t - 318 = -5*o, 477 = 64*t - 61*t - 5*o. Let j = -11 - -43. Calculate the remainder when t is divided by j.
31
Suppose w = -5*h + 2*h + 40, 2*h - 21 = 5*w. Suppose j + j - 6 = 0. Calculate the remainder when h is divided by j.
1
Calculate the remainder when 7/49 + -2 + 2265/21 is divided by 9.
7
What is the remainder when (2 + 0)*795/30 is divided by 25?
3
Let f = 56 - 79. Let w = 29 + f. What is the remainder when 22 is divided by w?
4
Let h = 4 + -18. Let n = h + 18. Suppose -n*r + 158 = 18. Calculate the remainder when r is divided by 12.
11
Let o(c) = -29*c - 1. Let n be o(-1). Let b = -22 + n. Calculate the remainder when 16 is divided by b.
4
Suppose -2*w + r - 39 + 60 = 0, -w - 3*r = -7. Calculate the remainder when w is divided by (-4)/(-8) - 5/(-2).
1
Let h be (-94)/(-2) - 3/3. Let f = -5 + h. Suppose -1 + 9 = x - 3*q, 4*x - 2*q = 42. What is the remainder when f is divided by x?
8
What is the remainder when 8/(1/(-8)*160/(-280)) is divided by 36?
4
Let w = -10 + -43. Let a = w + 108. Suppose 4*m - m = -d + 33, -3*d + 2*m = -a. Calculate the remainder when 81 is divided by d.
18
Let i = 80 + -33. Let x = i - 30. Calculate the remainder when 46 is divided by x.
12
Suppose 0 = -68*q + 88*q - 1460. What is the remainder when 279 is divided by q?
60
Let r be (-4)/12 - (-28)/12. Suppose r*f + 0*f - 6 = 0. Suppose -2*x + 6 = 2*n, -3*n + x = -n. Calculate the remainder when f is divided by n.
0
Suppose 9 = 3*p, 2*k - 7*k + 643 = -4*p. Suppose -t - 27 = -2*t. What is the remainder when k is divided by t?
23
Let y = -63 + 77. Calculate the remainder when (-5)/30 - 302/(-12) is divided by y.
11
Let q(r) = -14*r + 12. Let v be q(-7). Suppose 0 = 2*g + 3*g - v. Calculate the remainder when g is divided by 8.
6
Let f(w) be the third derivative of -5*w**4/24 - w**3 + 4*w**2. Suppose 0 = 8*l - 9*l + 73. What is the remainder when l is divided by f(-5)?
16
Let q(s) = 2*s**3 - 6*s**2 - 2*s - 21. What is the remainder when q(6) is divided by 27?
21
Let q be ((-4)/(-10))/((-9)/(-720)). Suppose 3*a - 4 - q = 0. Suppose -5*k - 4*c + 44 = 0, 2*k + c - a = 8. What is the remainder when 21 is divided by k?
9
Let i(a) = a + 10. Let v be i(-8). Suppose 2*m - v = 8. Suppose 3*q - m*q + 42 = 0. What is the remainder when 40 is divided by q?
19
Suppose 4*t + 8 = 4*w, 5*w - t - 4 - 10 = 0. What is the remainder when 36 is divided by ((-10)/3 + w)/((-1)/24)?
4
Let q(y) = y - 6. Let p be q(5). Let f = 4 + p. Suppose -f*i + 50 = -5*s, -i - 2*i + 40 = 5*s. What is the remainder when 58 is divided by i?
13
Let g = 193 + 0. Let h(s) = -134*s**2 - 2*s - 2. Let d be h(1). Let p = g + d. What is the remainder when p is divided by 14?
13
Let o(f) = 28*f - 48. Let v = -105 - -164. Calculate the remainder when o(8) is divided by v.
58
Suppose 3*i + 3 = -2*p - 6, -5*i - 10 = 5*p. Suppose 5*k = l - 24, 3*k + 2*k = -p*l + 32. What is the remainder when 52 is divided by l?
10
Let y(s) = s**3 + 5*s**2 + 21*s - 10. Let w(z) = -z**3 - 6*z**2 - 21*z + 11. Let i(a) = 6*w(a) + 5*y(a). What is the remainder when i(-9) is divided by 9?
7
Let o = -6 + 14. Suppose 2*q - 16 = -4*f, o = q - 3*f + 7*f. Let x(v) = v**2 + 11*v + 3. Calculate the remainder when q is divided by x(-11).
2
Suppose -137 = -17*s + 373. Calculate the remainder when 84 is divided by s.
24
Let l = 60 + -102. Let g = 90 + l. Calculate the remainder when g is divided by 14.
6
Suppose 4*x + 18 = b, 5*b - 5*x + 9*x = 138. What is the remainder when ((-384)/10)/(12/(-40)) is divided by b?
24
Let r(p) = -12*p - 62. What is the remainder when r(-32) is divided by 65?
62
Let j be (1212/36)/((-1)/3). Let z = -96 - j. What is the remainder when 12 is divided by z?
2
Suppose 0 = -68