 -5*c - 5, 4*q + 0*q - 3 = 3*c. What is the remainder when 40 is divided by (c - -3) + (-3)/((-12)/52)?
10
Suppose -16*i = 11*i - 297. Calculate the remainder when 20 is divided by i.
9
Suppose 2*x - 102 = -5*k, -153*x + 158*x = k + 201. What is the remainder when 273 is divided by x?
27
Let s = 77 - 37. Suppose 0*x - 2*x = -s. Let r = 40 - x. What is the remainder when 77 is divided by r?
17
Let i(a) = -a**3 - 36*a**2 - 5*a + 106. What is the remainder when i(-36) is divided by 16?
14
Let a(x) = -10*x + 3. Let r = 45 + -16. Calculate the remainder when a(-11) is divided by r.
26
Suppose c - 3*q - 28 = 2*q, -2*q + 8 = 2*c. Suppose c*v - 92 = 812. What is the remainder when v is divided by 29?
26
Suppose -97*n = -88*n - 459. What is the remainder when n is divided by 14?
9
Let g(b) = b**2 - 6*b - 2. Let t be g(7). Suppose -3*h = 3, 5*h + 114 = t*o + h. Let y = -17 + 25. Calculate the remainder when o is divided by y.
6
Let t = -66 - -71. Suppose 2*i - 38 = -2*s, 45 = 4*s + t*i - 36. Calculate the remainder when 55 is divided by s.
13
Let w(f) = -86*f - 4. Let i be w(-3). Let k = i - 160. Let x = k + -56. Calculate the remainder when x is divided by 10.
8
Suppose -10 = 2*p - 0*k + 4*k, -2*k = 2*p + 2. Suppose -4*j - 32 - 12 = -4*l, -p*j = 0. Calculate the remainder when 32 is divided by l.
10
Suppose 5*f - 115 = 5*q, -f + 2*f - 15 = 3*q. Suppose 3*w - 6*w + f = 0. Let x = w - 1. What is the remainder when 28 is divided by x?
4
Suppose 34*b - 44*b = -310. What is the remainder when 246 is divided by b?
29
Suppose -m + 119 = 20. Let c = m + -69. Calculate the remainder when c is divided by 11.
8
Suppose -10 = -2*t - 3*v + 33, v = -5*t + 127. What is the remainder when (-746)/(-10) - (-4)/10 is divided by t?
23
Let w(j) = 7*j**3 - 5*j**2 - 7*j + 2. Let z(p) = 20*p**3 - 14*p**2 - 21*p + 6. Let r(m) = 17*w(m) - 6*z(m). Calculate the remainder when r(-5) is divided by 13.
11
Let f(m) = m**2 + 7*m + 11. Let j = -4 - -3. Let y(h) = h**2. What is the remainder when f(-5) is divided by y(j)?
0
Let y = 55 - 44. Suppose 4*l = -4, y + 23 = 3*h + 5*l. What is the remainder when 61 is divided by h?
9
Calculate the remainder when ((-16)/56 - 954/42)*-13 is divided by 144.
11
Let v(x) = x**2 + 21*x - 247. Calculate the remainder when 627 is divided by v(9).
6
Suppose m - 1 = 3*a, -2*a = -m - 0*m + 3. What is the remainder when 71 is divided by (-5 + m)*(10 + -1)?
17
Suppose 0 = 2*g - 199 + 1. Let l = g - 54. What is the remainder when l is divided by 12?
9
Let s(q) = 4*q + 1. Let x = -2 - -5. Let o(d) = d**2 + 5*d + 2. Let t(g) = x*o(g) - 4*s(g). Calculate the remainder when t(-4) is divided by 19.
16
Suppose 4*f = 8, y - 6*y - 5*f = -185. Suppose -36 = -4222*x + 4219*x. Calculate the remainder when y is divided by x.
11
What is the remainder when (-135)/360 - 4790/(-16) is divided by 53?
34
Let d(w) = 4*w**3 + 2*w**2 + 13*w - 14. Suppose -1 + 9 = 2*u. Calculate the remainder when d(1) is divided by u.
1
Suppose 0 = -g - 12*g + 455. Calculate the remainder when g is divided by 12.
11
Let f(w) = -1736*w**3 - w**2 + 3*w - 2. Let m be f(1). Calculate the remainder when 46/115 + m/(-10) is divided by 35.
34
Suppose 3*y = 5*a + 49, 0 = -4*y + 3*a - 4*a + 27. What is the remainder when 132 is divided by y?
4
Suppose -2*w - 1 = -13. Suppose 5*q + 3*x = 113, 4*q - x = -w*x + 80. Calculate the remainder when q is divided by 7.
4
Let j(r) = r**3 + 9*r**2 - 10*r. Let p = -10 + 0. Let d be j(p). Suppose 3*f - 54 - 75 = d. Calculate the remainder when f is divided by 9.
7
Suppose -3*g + h = -25, 3*g + 0*g - 15 = 3*h. What is the remainder when 27 is divided by g?
7
Suppose 0 = -3*q - 2*m + 32, 2*q = 3*m - 8*m + 36. What is the remainder when 96 is divided by q?
0
Suppose 4*z - y = 2*y - 505, -z - 105 = -5*y. Let c = -88 - z. Calculate the remainder when c is divided by ((-5)/(-20))/((-2)/(-72)).
6
Let o(b) = -6*b - 7. Let r(g) = -g**2 - 17*g - 20. Let n(v) = 17*o(v) - 6*r(v). Let f be (12 + -8)/(3 - -1). What is the remainder when 11 is divided by n(f)?
4
Suppose -70*g + 592 = -54*g. What is the remainder when 110 is divided by g?
36
Suppose -4*m = t + 83, 5*m - 3*t + 127 - 2 = 0. Let o = m - -59. What is the remainder when o is divided by 20?
17
Let z(s) = -s + 10. Let k be z(6). Suppose 3*a - 71 = -3*c + 61, -2*a = 3*c - 133. What is the remainder when c is divided by (-122)/(-5) - k/10?
21
Let g = 732 + -700. Calculate the remainder when 84 is divided by g.
20
Suppose 0*w - 25 = w + g, 5*g = -w - 9. Let t = w + 43. Calculate the remainder when 55 is divided by t.
13
Let v(u) = u**2 - 3*u + 49. What is the remainder when 821 is divided by v(-6)?
100
Let m = -161 + 273. Suppose -5 = 5*t, 5*p + 3*t - m = -0*p. Calculate the remainder when p is divided by ((-3)/2)/((-1)/4).
5
Suppose 0 = 2*o + 4*o - 48. Calculate the remainder when 150 is divided by o.
6
Let u = 2721 + -2712. Let o be (10/8)/((-1)/8). What is the remainder when (0 + 14/(-4))*o is divided by u?
8
Let t(n) = 3*n**2 + 15*n - 8. Let w be t(-6). What is the remainder when 55 is divided by 50/20*56/w?
13
Let r = -1514 - -2312. What is the remainder when r is divided by 89?
86
Let b(k) = k**2 + 7*k + 3. Let m be b(-7). Suppose 0 = -m*q - j + 83, -41 = 4*q - 2*j - 135. Calculate the remainder when 259 is divided by q.
25
Let k = -25 - -41. Let s(m) = m**3 + 4*m**2 - m - 1. Let q = 7 + -9. What is the remainder when k is divided by s(q)?
7
Calculate the remainder when (393/9 - 30/(-10))*3 is divided by 11.
8
Let x(c) be the second derivative of c**7/840 - 3*c**4/4 - 6*c. Let s(q) be the third derivative of x(q). What is the remainder when 58 is divided by s(-2)?
10
Let w(z) = -2*z**3 - 23*z**2 + 13*z + 12. Let j be w(-12). Let k(v) = v**2 + 5*v + 25. What is the remainder when k(j) is divided by 8?
1
Suppose 0 = -4*x + 3*m + 48 - 6, -2*x + 30 = 3*m. Suppose p + 3*p = 420. Let i = p - 58. What is the remainder when i is divided by x?
11
Let n(y) = y**2 + 7*y + 3. Let j be n(-7). Suppose -3 = -j*a, 2*a + 144 = 2*k - 0*a. Calculate the remainder when k is divided by 1*(-10 - 174/(-6)).
16
Let o(w) = w - 3. Let g be o(0). Let z be (-196)/(-20) - (-2)/10. What is the remainder when (-4 + z)/g - -53 is divided by 13?
12
Let d(w) = -2*w**3 - w**2 + 291. What is the remainder when d(0) is divided by 49?
46
Suppose -3*t - 2 = 3*q - q, 0 = 3*t - 5*q - 5. Suppose 2*i - 4*i - 2*s + 166 = t, -4*s = -2*i + 178. What is the remainder when i is divided by 29?
27
Let k(w) = -w**3 + 6*w**2 - 2*w - 2. Suppose -2*l + 5*p + 260 = 2*l, 4*p - 195 = -3*l. What is the remainder when l is divided by k(4)?
21
Let r(s) = -32 + 33 + 4*s + 4*s. What is the remainder when 23 is divided by r(1)?
5
Suppose -100 = -3*g - r - 6, 5*r - 140 = -5*g. What is the remainder when 687 is divided by g?
27
Let g(w) = -11*w + 4. Let v = 29 - 33. Calculate the remainder when g(v) is divided by 25.
23
Let r = 629 - 511. What is the remainder when r is divided by 53?
12
Let n = -116 + 141. What is the remainder when 323 is divided by n?
23
Let u(j) = -2*j**2 - 4*j. Let m be u(-5). Let o = m + 59. Calculate the remainder when 56 is divided by o.
27
Let b(f) = f**2 + 9*f - 14. Let n be b(-10). Suppose x + 3*c - 9 = 0, -5*x + 36 = 3*c - 45. What is the remainder when x is divided by -14*((-21)/(-6) + n)?
4
Let s be (-808)/(-28) + 2/14. Let z = 30 - s. What is the remainder when 30 is divided by z - (-6 + -2 - -1)?
6
Suppose -74 + 98 = 4*h. Calculate the remainder when h is divided by 5.
1
Let y = -254 - -2270. Suppose 0 = -2*p - 3*p + 410. What is the remainder when p is divided by y/70 + 8/(-10)?
26
Suppose 0 = -3*g - g + 84. What is the remainder when (-488)/36*-3 + 6/18 is divided by g?
20
Suppose 1798 = -3*h + 1852. Calculate the remainder when 29 is divided by h.
11
Suppose q - 182 = -3*b + 5*q, -4*q + 166 = 3*b. Suppose 63*k - b*k - 280 = 0. What is the remainder when 163 is divided by k?
51
Let d = -54 - -70. Calculate the remainder when (-46)/(-3) + d/(-12) is divided by 4.
2
Let n(c) = 2*c**3 - 22*c**2 + 11*c - 11. What is the remainder when n(11) is divided by 25?
10
Let b = 423 + -399. What is the remainder when 167 is divided by b?
23
Let r = -27 + 29. Suppose r*z - 10 = -3*n + 22, -3*z = -3*n - 48. Calculate the remainder when z is divided by 7.
2
Let