ided by z.
8
Let b be (22/5)/((-6)/(-30)). Suppose 140 = 5*a + 3*l, -3*l + b = a + 6. What is the remainder when a is divided by 11?
9
Let f(x) = x**2 + x + 2. Let l be f(0). Suppose -l*r + 2*y = -34, 2 + 80 = 5*r - 2*y. Calculate the remainder when 95 is divided by r.
15
Suppose -8*z = -6*z + 4, -114 = -a + 5*z. What is the remainder when a is divided by 21?
20
Let o(w) = 5*w**2 + 7*w - 4. Let t be o(3). Let b = 65 - t. What is the remainder when 11 is divided by b?
2
Let d(i) be the first derivative of -5*i**2/2 + 14*i - 18. Calculate the remainder when d(0) is divided by 6.
2
Calculate the remainder when 34 is divided by (-12)/16 + (-507)/(-52).
7
Suppose 3*z + 2208 = 5*z. Let i be ((-1)/(-2))/((-12)/z). Calculate the remainder when i/(-3) + 24/36 is divided by 9.
7
Let i be (-1)/4 + 119/28. Suppose -4*j + 5*g = -6*j + 18, 0 = i*g + 8. Calculate the remainder when 151 is divided by j.
11
Suppose 3*b = 33 - 0. Suppose -c = -5*p - 18, p - 12 = 5*p. Suppose -z = c*z - 12. Calculate the remainder when b is divided by z.
2
Suppose 0*o = 3*o - 42. Suppose -r + o = -0*r. Calculate the remainder when r is divided by 8.
6
Suppose 454 + 39 = 29*z + 58. What is the remainder when 0 + 26 - -1*1 is divided by z?
12
Suppose 37*c - 272 = 29*c. What is the remainder when c is divided by 9?
7
Suppose 4*d + 250 = 9*d. Let g = d - 34. What is the remainder when 61 is divided by g?
13
Suppose -19*h + 3390 = 11*h. What is the remainder when h is divided by 23?
21
Let v be 3/(-1 + (-72)/(-69)). Let j = 84 - v. Calculate the remainder when 59 is divided by j.
14
Let m(j) = -7*j - 23. Let d(h) = -20*h - 69. Let l(k) = -6*d(k) + 17*m(k). Calculate the remainder when 3 is divided by l(-21).
1
Calculate the remainder when 25*((-48)/(-30))/1 is divided by 27.
13
Let h(z) = -z**2 - 62*z - 317. Calculate the remainder when h(-50) is divided by 19.
17
Suppose -2*g = -2*u + 102, 2*u + g = 67 + 26. Calculate the remainder when u is divided by 14.
6
Let k(a) = -13*a + 25. What is the remainder when 461 is divided by k(-4)?
76
Suppose -3*a = -s - 61, 3*s = -5*a + 148 - 51. What is the remainder when a is divided by 12?
8
Let j(z) = z**2 - 8*z + 4. Let r be j(8). Suppose -5 = 3*u - r*u. Calculate the remainder when 19 - (-3 + (10 - 5)) is divided by u.
2
Suppose 0 = 271*u - 283*u + 1704. What is the remainder when u is divided by 56?
30
Let k(g) = 12*g**2 - 8*g + 3. Let s be k(2). Suppose -31*p = -s*p + 8. Calculate the remainder when 3 is divided by p.
1
Let p(i) = 6*i**2 + 10*i + 5. What is the remainder when p(4) is divided by 21?
15
Suppose 0 = -3*v - 4*v + 1526. Calculate the remainder when v is divided by 32.
26
Suppose -2*i = -3*t - 48, 3*i + 5*t = 26 + 27. What is the remainder when ((76/(-3))/19)/((-1)/30) is divided by i?
19
Let j(f) = 2*f - 11. Let q be j(-8). Let c be (-1275)/q + (-2)/9. Calculate the remainder when c + (0 - 2) + 1 is divided by 12.
10
Let m = 41 + -25. What is the remainder when 33 is divided by ((-34)/8)/((-4)/m)?
16
Let d be ((-6)/18 - 0)*9/(-1). Suppose 3*l - u - 132 = 0, -d*l = 4*u - u - 132. What is the remainder when l is divided by 9?
8
Let b(q) = 2*q**3 + 27*q**2 + 14*q + 22. What is the remainder when 14 is divided by b(-13)?
5
Let h = 326 + -319. What is the remainder when 81 is divided by h?
4
Let o = 183 + -128. Calculate the remainder when o is divided by 13.
3
Suppose -4*g - 4*x + 52 = 0, 4*g + 2*x + 1 = 5*g. What is the remainder when (-4 + 0)/(4/(-42)) is divided by g?
6
Calculate the remainder when (-4)/14 - 1620/(-35) is divided by 160/(-50)*45/(-6).
22
Let t(s) = s. Calculate the remainder when 26 is divided by t(9).
8
Let x be (-5)/5 + -3 + 4 + 2. Let h(m) = m + 11. What is the remainder when 63 is divided by h(x)?
11
Suppose 26*k = 11*k + 1050. Calculate the remainder when 313 is divided by k.
33
Let z = 20 - 5. Suppose -13*t + 66 = 22 - 34. What is the remainder when z is divided by t?
3
Let g = 20 + -6. Suppose 2*l - 57 = 23. What is the remainder when l is divided by g?
12
Let x(c) = 18*c + 726. Calculate the remainder when x(-33) is divided by 43.
3
Suppose 3*q - 53 = s, 4*s = -3*q + 15 + 58. Suppose 4*c = 54 + 86. What is the remainder when c + (0 - 0/1) is divided by q?
16
Suppose 3*p - 379 = -4*w + 244, 0 = 5*w + 20. Calculate the remainder when p is divided by 44.
37
Let b be ((-2)/4)/(19/(-114)). Suppose -b*f = -5*f. Suppose 3*u + f*t + 2*t = 109, 2*u - 5*t = 60. What is the remainder when u is divided by 13?
9
Suppose -2*a + 2*r + 22 = -8, -3*a + 2*r + 40 = 0. Let z = 0 - -7. Calculate the remainder when a is divided by z.
3
Let j = 702 - 692. What is the remainder when 627 is divided by j?
7
Let z be 1 + 0 + (6 - 3). Suppose -z*r - 8 = -6*r. Suppose -r*c + 30 = 3*b, -4*c - 5*b + 2 = -32. What is the remainder when c is divided by 2?
0
Suppose 0 = 4*y + 164 - 608. What is the remainder when y is divided by (-6 - (-2 + 2))*(-168)/63?
15
Let h(w) = w**2 - w. Let k be h(1). Suppose k = 3*r + 38 - 14. Calculate the remainder when 80 is divided by (18/r)/(4/(-48)).
26
Suppose -3*l - l = 120. Let u be (l/20)/((-1)/(-18)). Let k = -13 - u. What is the remainder when k is divided by 8?
6
Let h be (88*-1)/2 + 4. Let n = h - -77. What is the remainder when n is divided by 8?
5
Let j(s) = 2*s**3 + 51*s**2 + 24*s - 15. What is the remainder when 359 is divided by j(-25)?
9
What is the remainder when (-5)/(-4 - 1 - -4) is divided by 2/18 - 70/(-18)?
1
Suppose -2*u + 2*o = o - 9, -2*u + 15 = -3*o. Suppose 4*n + 212 = 5*p + 38, u*n = -3. Suppose 0 = 5*h - p - 6. Calculate the remainder when h is divided by 3.
2
Let x = -31 - -30. What is the remainder when -1*(-13 - 2*(0 + x)) is divided by 8?
3
What is the remainder when 213 is divided by ((-1090)/(-20) - 12)*12/10?
9
Let t(f) = 25*f**2 + 6*f - 6. What is the remainder when t(3) is divided by 8?
5
Let i(l) = -l**3 - 15*l**2 - 25*l - 118. Calculate the remainder when i(-14) is divided by 4.
0
Let j = 2402 - -438. Calculate the remainder when 2/7 - j/(-56) is divided by 29.
22
Let d be (-1480)/15 - (-2)/(-6). Let t = d + 116. Calculate the remainder when t is divided by (-29)/(-4) + (-1)/4.
3
Suppose 374 = 24*t - 826. What is the remainder when 172 is divided by t?
22
Let z = 142 - 85. Let l be 16/(-6)*((-60)/8)/5. Suppose l*s - z = s. What is the remainder when 52 is divided by s?
14
Let d(l) = -l + 5. Let f(r) = r - 12. Let u be f(5). Let k(o) = 8*o**3 - o**2 - o + 1. Calculate the remainder when d(u) is divided by k(1).
5
Suppose 82 - 68 = 2*m. Calculate the remainder when 152 is divided by m.
5
Let b = 18 - 14. Let a(j) = 4*j**2 + j - 4. What is the remainder when a(-3) is divided by b?
1
Calculate the remainder when (-26630)/(-130) + (-4)/(-26) is divided by 59.
28
Suppose 5*t - 183 = -0*b + 2*b, -t + 47 = -3*b. What is the remainder when 64 is divided by t?
29
Let j(x) = x + 14. Let f be j(-4). Suppose 0 = k + 5*o + f, 4*k - o - 50 = k. What is the remainder when k is divided by 10?
5
Let n = 34 + 24. Suppose 2*w = 5*k + 7*w - 30, 0 = -5*k + 2*w + n. Let v(p) = 3*p**2 - 2*p - 3. What is the remainder when v(4) is divided by k?
7
Suppose 1655 = 8*t - 1. Calculate the remainder when t is divided by 53.
48
Suppose k + 174 = 4*m - m, 4*m + k - 232 = 0. Let x = m - 50. What is the remainder when 29 is divided by x?
5
Let a = -246 + 282. What is the remainder when 227 is divided by a?
11
Suppose 3*p - 14 = 4. Suppose 4*h - 144 = -4*x, 0 = -2*h + p*h - 3*x - 151. Calculate the remainder when h is divided by 11.
4
Suppose -1087*n = -1092*n + 130. Suppose -3 = 3*k, 0*o = 5*o - 3*k - 73. Calculate the remainder when n is divided by o.
12
Let i = 1575 - 1541. Let v(x) = -x**3 - 2*x**2 + x - 6. Calculate the remainder when v(-6) is divided by i.
30
Suppose 4*b + 12 = 0, 0 = n - 2*b - 6 - 9. What is the remainder when 70 is divided by n?
7
Let o(m) = 3*m + 1. Let a be o(-3). What is the remainder when 139 is divided by a/14 + (-720)/(-35)?
19
Suppose 6*o + 4*a = 3*o + 67, -2*o + 2*a + 54 = 0. Suppose -11*p = -16*p + 75. Calculate the remainder when o is divided by p.
10
Calculate the remainder when 66 is divided by 11 - (-32)/(-24)*3.
3
Let l = 12 - 7. Let y = 24 - l. What is the remainder when 70 is divided by y?
13
Let n be 10/8*(-7 - 5). Let h = -13 - n. Let x(i) = i + 1. Calculat