- 278/(-8). Let n = -214 - -204. Let l = r + n. What is the remainder when l is divided by 9?
7
Suppose 0 = -127*t + 129*t - 4, -t = 5*x - 47. Let c be 2/(1/1) + -6. Let m = c + 7. Calculate the remainder when x is divided by m.
0
Suppose 0 = 28*c - 1362 - 10. Calculate the remainder when 90 is divided by c.
41
Let h = -855 - -948. What is the remainder when h is divided by 26?
15
Suppose -28*y = -37*y + 216. Calculate the remainder when 211 is divided by y.
19
Let v(a) be the third derivative of a**6/120 + a**5/10 + a**4/6 + a**3 - a**2. Let o(d) = d**2 - 13*d + 5. What is the remainder when v(-4) is divided by o(13)?
2
Let v(x) = -x - 1. Let n be v(-9). Calculate the remainder when 81 is divided by ((-20)/n + 3)*82.
40
Suppose -8 + 12 = 2*p. Suppose 4*m = p*i - 0*i + 242, -2*i = 2*m - 124. Let u(c) = c**2 + 20*c + 26. Calculate the remainder when m is divided by u(-19).
5
Let p = 182 + -126. Suppose -5*h - 2*r + 116 = 0, -2*h - 4*r - p = -4*h. Let v = h + -13. What is the remainder when 21 is divided by v?
10
What is the remainder when (-68 + 47)/(3*(-1)/19) is divided by 72?
61
Suppose -3*y + 28 = -23. Suppose 15 = 4*t - 9*t + 5*k, y = t + 4*k. Suppose p = 3*a - 0*a - 34, 5*p + t = 2*a. What is the remainder when 49 is divided by a?
10
Let q = -2 - 0. What is the remainder when (612/45)/(q/(-5)) is divided by 9?
7
Suppose -4*i = 4*g - 1204, 50*i - 48*i = 4*g - 1174. Calculate the remainder when g is divided by 42.
2
Let a = -1398 - -1436. Calculate the remainder when 987 is divided by a.
37
Suppose 0 = -3*t - 5*i - 0*i + 21, -2*i = -t + 18. Let h = 16 - t. Let o(z) = z**3 - 3*z**2 - 2*z + 8. Calculate the remainder when 63 is divided by o(h).
15
What is the remainder when ((-534)/(-12))/((-3)/(-6)) is divided by 13?
11
Let u(t) = -3*t**2 - 70*t + 58. Calculate the remainder when 24 is divided by u(-24).
4
Let g be 45/10 + (-1)/(-2). Suppose -g*a + 621 = -24. Calculate the remainder when a is divided by 33.
30
What is the remainder when 424 is divided by 3/(-5) + ((-1956)/(-60) - 0)?
8
Let i(c) = 58*c + 123. What is the remainder when i(11) is divided by 109?
107
Let r(o) = -o - 19. Let s be r(-15). Let n(p) = -p**2 - 4*p + 2. Let g be n(s). Suppose -17 = -g*u - 1. What is the remainder when 28 is divided by u?
4
Let y(c) = 4*c**3 - 5*c**2 + 2*c + 2. Let o(n) = -537*n + 24 - n**2 + 518*n + 2*n**2. Calculate the remainder when y(3) is divided by o(19).
23
Let d = 1700 + -1693. Calculate the remainder when -2 + 1/1 + 42 is divided by d.
6
Let r = -780 - -874. What is the remainder when 187 is divided by r?
93
Let i(k) = -9*k**3 + 13*k**2 - 4*k + 7. Let t(z) = -4*z**3 + 6*z**2 - 2*z + 4. Let q(j) = 2*i(j) - 5*t(j). What is the remainder when 106 is divided by q(3)?
16
Suppose 4*y = -h + 168, -2*y + 47 = 3*h - 37. What is the remainder when y is divided by 24?
18
Let r = 1163 - 1013. Calculate the remainder when r is divided by 88.
62
Let k(w) = w**3 - 11*w**2 + 25*w - 9. Let f be k(7). What is the remainder when ((-3)/(f/(-92)))/(1/(-5)) is divided by 27?
19
Let r = 2467 - 2450. Calculate the remainder when 277 is divided by r.
5
Suppose -w - 395 = -2*i + 332, 3*w + 2*i + 2213 = 0. What is the remainder when w/(-39) + (-12)/(-78) is divided by 11?
8
Suppose 0 = -0*t + 3*t. Suppose -3*b + 4*b = t. Suppose -2*w + 10 + 20 = b. Calculate the remainder when w is divided by 9.
6
Suppose -19*r - 139 = -652. What is the remainder when r is divided by -15*(0 - 3/3)?
12
Suppose 7*j = 4*j + 24. Suppose -4*r + 6*r = 4*c + 138, -2*c - 10 = 0. Calculate the remainder when r is divided by (-90)/4*j/(-6).
29
Let s = 9 + -1. Let k = 11 - 9. Suppose k = l - 3. Calculate the remainder when s is divided by l.
3
Let b = 1619 - 1566. Calculate the remainder when 140 is divided by b.
34
Let s(z) be the first derivative of z**3/3 - 2*z**2 + 5*z - 1. Let x(t) = 14*t - 8. Let y be x(1). Calculate the remainder when 82 is divided by s(y).
14
Let p = -1761 - -3001. What is the remainder when p is divided by 27?
25
Let m = -229 + 264. Suppose -b + 0*b + 18 = 0. Calculate the remainder when m is divided by b.
17
Let p(a) = 8*a - 10*a + 1 + 4*a. Let v(l) = l + 7. Let j be v(-5). What is the remainder when 13 is divided by p(j)?
3
Let q = 5 + 4. Suppose -3*l - q = 0, 4*l + 60 = s + 2*l. Suppose -3*j = c - s, -j + 5*c = 4*j - 110. Calculate the remainder when j is divided by 10.
9
Let k(g) = -2*g**2 - 26*g - 4. Let i be k(-12). Let s(q) = 2*q - 2. Let n be s(2). Let u = i - n. What is the remainder when u is divided by 5?
3
Suppose 0 = 9*a + 575 - 1646. Calculate the remainder when a is divided by 3.
2
Let o(m) = -5*m + 32. Suppose 2*c - 3*j - 109 = 0, 4*c + 111 = -3*j + 302. What is the remainder when c is divided by o(3)?
16
Suppose 792 = -11*w + 3608. What is the remainder when w is divided by 52?
48
Let y = 322 - 188. Calculate the remainder when y is divided by -1*6 - 13/((-26)/46).
15
Suppose 0 = 2*h - 4*n + 286, 0*n + 4*n = -h - 143. Let j = h - -147. What is the remainder when j is divided by (-1)/2 - (-14)/4?
1
Let a be -3*40/(-12)*-1. Let l = -17 - a. Calculate the remainder when (l - -1)*(-14)/4 is divided by 12.
9
Suppose 4*x - x - y = 419, -x + 2*y + 138 = 0. Suppose -5*a + x = -a. Calculate the remainder when a is divided by (-4094)/(-345) + 4/30.
11
Suppose -f + c = -20, -f - 43 = -3*f + 5*c. Calculate the remainder when -1 - (-2 - -5) - -73 is divided by f.
12
Let w(k) = -4*k**2 - 57*k - 28. Calculate the remainder when 88 is divided by w(-13).
14
Calculate the remainder when (-68)/(-51) + (-304)/(-6) is divided by 22.
8
Let y(j) = 4*j**2 + 4. What is the remainder when y(-4) is divided by 6?
2
Let d(f) = -f**3 + f**2 + 2*f + 1. Let a be 152/(-36) + (4/(-18))/(-1). What is the remainder when d(-3) is divided by (-34)/a + (-2 - (-6)/4)?
7
Let y = 11 - 6. What is the remainder when 3*(1 - -2 - 0) is divided by y?
4
Let r be 10/(-30) - 19/(-3). Suppose -2*k + r = -0. Calculate the remainder when k is divided by 1.
0
What is the remainder when 457 is divided by ((-26)/(-156))/(3/162)?
7
Let m = 44 + 85. Let w(c) = -c**3 - 18*c**2 + 5. Let q be w(-18). Suppose 0 = -q*a + 38 + 127. Calculate the remainder when m is divided by a.
30
Suppose 0 = 5*k - m - 51, -8 = -6*m + 4*m. Calculate the remainder when k is divided by 4.
3
What is the remainder when (-99382)/(-510) - 4/(-30) is divided by 18?
15
Suppose -5*q + 5*f = -185, -3*q + 46 = 4*f - 100. Suppose -i - 2*i + q = 3*c, 0 = -4*c - 5*i + 54. Calculate the remainder when 46 is divided by c.
14
Suppose -q - o + 7 = 1, 0 = -o + 3. Suppose 0*l = q*l - 93. Suppose 3*u = t - 23, 9*t - 14*t - 5*u = -15. Calculate the remainder when l is divided by t.
7
Let w = 2635 - 2608. Calculate the remainder when 1751 is divided by w.
23
Let n = 2289 + -1913. Calculate the remainder when n is divided by 42.
40
Let v = 925 + -675. Calculate the remainder when v is divided by 14.
12
Suppose 4*p - 24 = -0*p. Suppose 3*j - 5*j + p = 0. Let x = -2 + 3. Calculate the remainder when j is divided by x.
0
Let k = 45 + -35. Suppose -3*b + k = -b. Let j(a) = -a**2 + a + 3. What is the remainder when b is divided by j(0)?
2
Suppose 5*l - 77 = 158. Let h(m) = -2*m**3 - m**2 + 2*m. Calculate the remainder when l is divided by h(-2).
7
Let k = 24 - 24. Suppose 4*r + 36 = -k*h + 2*h, 5*r = -2*h. Calculate the remainder when 59 is divided by h.
9
Let b = 5 - 0. Let n be (-44)/(-12) + 2/6. Suppose -n*q - 4*z = -0*q, 0 = -b*z - 15. What is the remainder when 6 is divided by q?
0
Let t(r) = 14*r**2 - 18*r + 65. Calculate the remainder when t(3) is divided by 18.
11
Calculate the remainder when 38 is divided by (-4)/(-24)*8*3 - 0.
2
Suppose -4*h - 12 + 3 = -3*a, -5*a + 15 = 3*h. Suppose a*w + 48 = 2*c - 0*w, 5*w = 0. Suppose 3 = -3*i + c. What is the remainder when 25 is divided by i?
4
Let c(n) = 2*n - 3. Suppose 0 = -5*w - 22 + 17. Calculate the remainder when 3*(-3 + (w - -7)) is divided by c(4).
4
What is the remainder when (2/5)/(-2) - (-11228)/140 is divided by 13?
2
Let x be 0*(-4)/12*-1. Suppose x*r = -2*r + 176. Suppose 3*a - b = 2*a + 72, r = a + 3*b. Calculate the remainder when a is divided by 11.
10
Let q(h) = 5*h - 38. Let j be q(13). What is the remainder when 119 is divided by 3/j + 269/9?
29
Suppose v + 1 - 5 = 4*k, -8 = -2*v - 2*k. 