 c(z) = -z**3 - 9*z**2 + 52*z + 14. Calculate the remainder when 23 is divided by c(-13).
9
Let f = 460 + -406. What is the remainder when 68 is divided by f?
14
Let h = -7 + 7. Suppose 120 = 4*r - h*r. Suppose 4*c - r = 46. What is the remainder when 37 is divided by c?
18
Suppose 15 = -3*t, -l - 2*t - 6 = 1. Suppose -5*d + 35 = -45. Suppose -v = -l*v + d. What is the remainder when 23 is divided by v?
7
Let t(y) = -8*y - 2. Let u be t(-1). Let l be ((-27)/u)/((-2)/(-4)). Let n = l + 67. What is the remainder when n is divided by 15?
13
Let o(p) = -p + 13. Suppose -f = 10*f - 110. What is the remainder when 23 is divided by o(f)?
2
Let q(r) = r**3 - 15*r**2 + 16*r + 68. What is the remainder when q(14) is divided by 17?
11
Let m = 10 + -6. Suppose m*f - 15 - 29 = 2*r, -5*f + 2*r + 53 = 0. Suppose 5*i + 110 = 5*v, 4*v = 3*i + 26 + 57. Calculate the remainder when v is divided by f.
8
Let k(m) be the third derivative of -m**4/12 - 4*m**3/3 + m**2. Let u = 34 + -43. What is the remainder when 28 is divided by k(u)?
8
Let n = -29 + 136. Let o = -19 - -28. What is the remainder when n is divided by -18*(-3 - o/(-6))?
26
Let a(w) = -2*w**2 + 24*w + 16. What is the remainder when 462 is divided by a(12)?
14
Let z(d) = d**2 + 18*d + 68. What is the remainder when z(-13) is divided by 2?
1
Suppose -2*h - 2 - 2 = 4*n, 0 = -3*h - 3*n. Suppose -3*q + 38 = h*p, 2*q + p = 25 - 0. What is the remainder when ((-3)/(-6) - 1)*-64 is divided by q?
8
Suppose -7 = -5*y + 18. Suppose s + 2*s - 15 = 0. Suppose a = s*a - 36. Calculate the remainder when a is divided by y.
4
Let a(x) = -x**2 - 9*x + 10. Suppose -6*h = -3*h + 21. Calculate the remainder when a(h) is divided by 9.
6
Suppose -694*v = -695*v + 74. Calculate the remainder when v is divided by 34.
6
Let z(b) = -5*b**2 + 6*b - 5. Let c be z(1). Suppose 3*t + 11 - 224 = 0. Calculate the remainder when t is divided by c*((-21)/6 - 1).
17
Let f = 435 + -209. What is the remainder when f is divided by 57?
55
Let o = -682 - -1074. What is the remainder when 24 is divided by 2/(-6) - o/(-42)?
6
Let n be 0/(5/(25/(-15))). Suppose -2*k = -97 - 167. Suppose n = -2*m - 2*m + k. What is the remainder when m is divided by 9?
6
Let b(t) = t**2 - 55*t + 113. What is the remainder when b(57) is divided by 76?
75
Let q be -6*(-2)/(-21)*-7. Suppose -q*r = -117 - 15. Suppose 0 = c - 4*c + 54. Calculate the remainder when r is divided by c.
15
Suppose -4*r + 0*r + 4 = 0. Let f be 4/(-12)*(1 - r). Suppose -3*j - 2*q = -247, f*j = -2*j + q + 160. Calculate the remainder when j is divided by 21.
18
Let j = 1771 - 1642. Calculate the remainder when 638 is divided by j.
122
Let v(r) = r**3 - 6*r**2 - 6*r + 2. Let x(g) = g**3 - 10*g**2 + 7. Let a be x(10). What is the remainder when 34 is divided by v(a)?
7
Let y = -31 - -120. What is the remainder when 170 is divided by y?
81
Let j = 3 + 7. Let z(c) = 4*c - 6*c**2 + 4 - 17 - c**3 + c - 3*c**2. Calculate the remainder when z(-10) is divided by j.
7
Calculate the remainder when 1/((-13)/2) - 2712/(-52) is divided by 23.
6
Suppose 9*z + 2*d - 327 = 4*z, 2*d = -3*z + 193. Calculate the remainder when z is divided by 35.
32
What is the remainder when 211 is divided by 2/((-12)/(-930)*5)?
25
Let f be 168/126 + 2/(-6). Let n = -19 - -146. Calculate the remainder when n is divided by 1 + f/(-3)*-93.
31
Suppose 12*k = -1274 + 242. Let v = k - -109. Calculate the remainder when v is divided by 9.
5
Let o be 81/6*8/6. Suppose 24 + o = 3*f. What is the remainder when 55 is divided by f?
13
Suppose 55*d = 626 + 1189. Calculate the remainder when d is divided by 23.
10
Suppose 5*a + 26 = 161. Suppose -7*s = -s - 84. Calculate the remainder when a is divided by s.
13
Let v = -100 + 50. Calculate the remainder when (216/10)/((-15)/v - 0) is divided by 26.
20
Suppose -5*d = -d. Suppose -2 = z - 2*a, 5*z + d*a + 5*a = 20. Suppose -4*c + 26 = z*o, -23 = 5*o - 4*c - 144. What is the remainder when 41 is divided by o?
20
Suppose -g - b + 120 = 0, -6*b + 3*b - 568 = -5*g. What is the remainder when g is divided by 17?
14
Suppose -4*y + 21*p + 604 = 18*p, -4*y + 2*p = -604. What is the remainder when y is divided by 3?
1
Let x = -91 + 184. Calculate the remainder when x is divided by 49.
44
Calculate the remainder when 28/42 - 4180/(-12) is divided by 71.
65
Let k be (9 - 10 - 59/(-3))*-3. Let b = -32 - k. What is the remainder when 70 is divided by b?
22
Let m(f) = f**3 - 20*f**2 - 45*f + 32. Let c(b) = b**3 - 29*b**2 - 28*b - 38. Let t be c(30). What is the remainder when 26 is divided by m(t)?
6
Suppose -4*b = -5*i + 85, -5*b + 85 = -0*i + 5*i. Suppose 4*z + i = 77. Suppose -u = -2*x + 4*x - z, 4*x = 16. What is the remainder when 13 is divided by u?
6
Let o(s) = 2*s + 9. Let h be (-21)/(-30)*-4*-5. Let r = 25 - h. What is the remainder when o(r) is divided by 11?
9
Let r(z) = -z + 21. Let a be r(21). Suppose a*u = 3*d + 3*u - 171, 3*u = 9. What is the remainder when d is divided by 15?
9
Let g be (-7 + 4)*188/3. Let l = -112 - g. Calculate the remainder when l is divided by 20.
16
Let w(u) = -u**2 - 16*u + 43. What is the remainder when 39 is divided by w(-18)?
4
Let j(u) = 4*u**3 + 6*u**2 + u. Let l be j(-4). Let i = -159 - l. What is the remainder when (-42)/(-1*2) - -2 is divided by i?
3
Let t(f) = f**2 - 10*f + 8. Suppose z + 68 = 5*s - 23, 0 = -4*s + 5*z + 56. What is the remainder when t(12) is divided by s?
13
Suppose 10*j - 4*j = 594. Calculate the remainder when j is divided by 17.
14
Let x(t) = -t**2 + t + 118. What is the remainder when x(0) is divided by 30?
28
Suppose -5*r - 2*d + 18 = -85, 0 = 3*d - 12. Suppose -j - j + u + r = 0, -5*j = -u - 43. Calculate the remainder when 54 is divided by j.
6
Suppose 1 = h - 1. Let c be (0/2)/(h + -1). Suppose 4*n + 4*o - 136 = c, -2*n - 2*o + 182 = 3*n. Calculate the remainder when n is divided by 10.
8
Suppose 0 = 5*g - 25, -171 = -3*y - 3*g + 9. What is the remainder when 214 is divided by y?
49
Let d = -39 + 44. Let c(f) = f**3 - 5*f**2 + 8*f - 4. What is the remainder when c(d) is divided by 8?
4
Suppose 2*u = 2*k + 80, -u - k + 126 - 74 = 0. Let g(x) = -2*x. Let l be g(-2). Suppose 0 = l*a - 53 - 11. Calculate the remainder when u is divided by a.
14
Let o(d) = 44*d**3 + d**2. Let x be o(1). Let z = x + -94. Let w = z - -103. Calculate the remainder when w is divided by 19.
16
Suppose 65 = 10*h + 5. Suppose h*p - 3*p + 11 = 2*y, -21 = -3*y + 3*p. Suppose -z + 12 = 2*z + 2*q, z - q = 9. What is the remainder when y is divided by z?
4
Suppose 3*d - 54 = 3*g, -3*g - 8*d - 86 = -3*d. Let o = g + 23. Suppose 0 = -t - 2*t - 2*p + 6, 0 = -3*p. Calculate the remainder when t is divided by o.
0
Let x(m) = m**2 - 7*m + 25. What is the remainder when 98 is divided by x(8)?
32
Suppose 0 = -37*y + 1146 - 332. Calculate the remainder when 416 is divided by y.
20
Suppose o + 116 + 17 = 0. Let m = o - -149. What is the remainder when 95 is divided by m?
15
Suppose 471*n = 464*n + 84. What is the remainder when 311 is divided by n?
11
What is the remainder when 83 is divided by -20*(-1)/(-8)*(-16)/10?
3
Let m(u) = -87*u**3 - 9*u - 8. Calculate the remainder when m(-1) is divided by 10.
8
Let h = 84 - 43. Let c(q) = -q**3 - 2*q**2 - 15*q + 27. Let u be c(2). Let n = h + u. Calculate the remainder when n is divided by 12.
10
Let k(b) = 5*b + 2. Let z be k(2). Calculate the remainder when 67/3 + 4/6 is divided by 3 + z/((-20)/(-5)).
5
Let l be ((-6)/(-18))/(2/42). Suppose 4*b + 33 = l*b. Suppose -3*c + 4*v = -107, -3*c = 2*c + v - 209. What is the remainder when c is divided by b?
8
Suppose -4*z = 3*g - 874, -g + 285 = 75*z - 80*z. Calculate the remainder when g is divided by 4.
2
What is the remainder when 147 is divided by 19*3*(-32)/(-72)*3?
71
Suppose 94*b - 605 = 89*b. Let w = b - 92. What is the remainder when w is divided by 16?
13
Let l(h) = 2*h**2 + 3*h - 4. Let x = -736 - -746. Calculate the remainder when l(-5) is divided by x.
1
Suppose 2*w = -3*b - 15, -3*w = 2*b + 14 - 4. Let h be -4 + 1 + b + 1. Calculate the remainder when ((-74)/6)/(h/21) is divided by 19.
18
Let r be 494/6 - 30/90. Let h = 100 - r. What is the remainder when 51 is divided by h?
15
Let s(c) = 2*c + 2. Let y be s(10). Suppose -5*g - 6 = 4*f, 10*g - y = 5*g + 3*f. Suppose -5*