y (-5)/((-10)/3)*(58 + -12).
66
Let z(v) = v**3 + 5*v**2 + 4*v + 1. Let w be z(-4). Suppose w = r - 16. Let f(t) = -t**2 + 13*t + 24. What is the remainder when r is divided by f(14)?
7
Suppose -3*s - 50 = -2*d, -16*d + 4*s = -13*d - 74. Calculate the remainder when 1031 is divided by d.
19
Suppose 0 = -4*f + 35 - 7. Let j = 6 + -6. Suppose j*r = r, -4*r = 5*q - 60. Calculate the remainder when q is divided by f.
5
Let d(h) = 107*h - 169. Calculate the remainder when d(3) is divided by 41.
29
Let b = -105 + 114. Calculate the remainder when 22 is divided by b.
4
Suppose 2*a = -3*b + 4*a - 29, 5*a = -2*b + 6. Let l = 9 - b. Let r = -10 + l. Calculate the remainder when r is divided by 5.
1
Let x(g) = -g**2 + 6*g + 11. What is the remainder when 40 is divided by x(0)?
7
Suppose 5*l - 162 = -2*d + 3*d, -5*d = -l + 690. Let u = 205 + d. Let n = u - 40. What is the remainder when n is divided by 10?
8
Let v = 66 + 9. What is the remainder when 220 is divided by v?
70
Let m = 41 + -39. Suppose -m*t + 5*t - 213 = 0. What is the remainder when t is divided by 19?
14
Let v = 1142 + -13. What is the remainder when v is divided by 113?
112
Suppose -159 = -2*h + 6*h + 3*c, -121 = 3*h + 4*c. Let m = -6 - h. Calculate the remainder when 96 is divided by m.
30
Suppose -4*r + 215 = q, 5*q = q + 2*r + 932. Calculate the remainder when q is divided by 47.
43
Let m(q) = -q + 16. Let c = 49 - 44. Calculate the remainder when 31 is divided by m(c).
9
Let v be 1/4 + 3 + (-39)/12. Suppose -2*d = -v*d - 20. Calculate the remainder when d is divided by 4.
2
Let x = 19 - 6. Calculate the remainder when 43 is divided by x.
4
Suppose 0 = 17*n - 8*n - 2421. Calculate the remainder when n is divided by 27.
26
Suppose 0 = -4*v + 6 + 6. Suppose -v*o = 2*o + 2*f + 449, 0 = o + 3*f + 82. Calculate the remainder when 51 is divided by (-178)/(-14) - 26/o.
12
Let s(q) = 15*q**2 - 44*q + 7. What is the remainder when 707 is divided by s(4)?
68
Let i(k) = 118*k - 331. What is the remainder when 565 is divided by i(3)?
13
Suppose 0 = -3*u + 13*u - 250. Calculate the remainder when (6 - -65) + (1 - 1) is divided by u.
21
Suppose -2*h + 5*h = 39. What is the remainder when 16 is divided by h?
3
Let y = 62 - 6. Let z = y - 47. Calculate the remainder when 22 is divided by z.
4
Suppose 5*d = -2*u + 404 - 69, 0 = 2*d + 2*u - 140. What is the remainder when 243 is divided by d?
48
Let g = -26 + 40. Suppose 3*f + 4*p + 2 = 0, -3*f - 2*p - 6 = -g. Calculate the remainder when 81 is divided by ((-63)/(-14))/(f/16).
9
Let d = 262 + -245. What is the remainder when 69 is divided by d?
1
Suppose -b - 3 + 6 = 3*o, -2*b - 4*o + 8 = 0. Let q = 51 - 35. Calculate the remainder when q is divided by b.
4
Let y(j) be the second derivative of -5*j**3/3 - 7*j**2/2 - 11*j. Calculate the remainder when 55 is divided by y(-3).
9
Let h be (-11)/4 + 9/12. Let v = -6 - h. Let d(k) = -2*k + 3. What is the remainder when d(v) is divided by 4?
3
Let t be (13/(-26))/(1/(-12)). Suppose t*y - y = 330. Suppose n + 3*n = 5*f - 52, -5*f - 3*n + y = 0. Calculate the remainder when 47 is divided by f.
11
Let j(v) = -10*v**2 - 1. Let h be j(-1). Let k(g) = g + 11. Let b be k(h). Suppose -6*q + q + 20 = b. Calculate the remainder when 7 is divided by q.
3
Suppose 2*p + 22 - 164 = 0. Let u = -89 - -104. What is the remainder when p is divided by u?
11
Suppose 0 = 76*v - 69*v - 3101. Calculate the remainder when v is divided by 37.
36
Suppose 0 = -5*w + 12*w - 63. What is the remainder when 35 is divided by w?
8
Calculate the remainder when 38 is divided by ((-132)/(168/(-14)))/((-1)/(-3)).
5
Let w(h) = 87*h + 2. Let b be w(2). Suppose 3*y + 5*a = -329, 3*y + 73 = -4*a - 252. Let s = b + y. Calculate the remainder when s is divided by 19.
16
Let p(x) = -16*x**3 - 4*x**2 - 2*x + 1. What is the remainder when p(-2) is divided by (9/(-15))/((-23)/575)?
12
Let k = 89 - 44. Let s be 1*(25*-1 + -2). Let c = s + k. Calculate the remainder when 34 is divided by c.
16
Suppose -2*h = -13*n + 16*n - 27, 3*n + 27 = h. What is the remainder when 66 is divided by h?
12
Suppose -4*k - 240 = -5*c - 281, -3*c + 9 = 0. Let u = -60 - -352. Calculate the remainder when u is divided by k.
12
Let c(x) = 5*x**2 + 4*x - 11. Calculate the remainder when c(3) is divided by 24.
22
Suppose -5*c - 2*i = -0*i + 417, 4*c - 4*i + 328 = 0. Let n be (-2 - 298)*9/(-18). Let r = c + n. What is the remainder when r is divided by 17?
16
Let w(v) = 153*v + 473. Calculate the remainder when 102 is divided by w(-3).
4
Suppose -15*c + 13*c + 4 = 0. Suppose 2*g - 5*t = -2 + 6, -2*g - 3*t = 28. What is the remainder when 12 is divided by g*((-9)/(-6) - c)?
0
Suppose 0 = 5*l - 5*z - 1150, 15*l - 10*l = -2*z + 1143. Calculate the remainder when l is divided by 29.
26
What is the remainder when (-31 + 849)/(2 + 0) is divided by 82?
81
Let w(u) = -20*u**2 + u**3 + 23 - 34*u**2 - 2 + 15*u + 37*u**2. Suppose 8 = -4*a, a + 53 = 2*z + z. Calculate the remainder when z is divided by w(16).
2
Suppose 21*h - 3*v - 20 = 20*h, 2*h = -5*v + 29. Calculate the remainder when 3262 is divided by h.
15
Calculate the remainder when 24 is divided by (-1)/7 - (-16)/(-84)*-27.
4
Let b(s) = -s**3 + 2*s**2 + 4*s - 1. Let y be b(3). Suppose 0 = y*t - 2 - 18. Calculate the remainder when (6 + (-270)/36)*-18 is divided by t.
7
Let n(w) = w**2 + 5*w + 101. What is the remainder when n(0) is divided by 51?
50
Let g(p) = -p**2 + 7*p + 10. Let j be g(8). Let n = j - -13. Suppose 0 = 3*k + d - n, -5*d + 1 = 3*k - 14. What is the remainder when 17 is divided by k?
2
Let o(x) = 126*x - 39. What is the remainder when 257 is divided by o(1)?
83
Let o(t) = t**2 + 11*t + 6. Let j(q) = -q**2 + q + 1. Let u be j(4). Calculate the remainder when o(u) is divided by 3.
0
Let s(q) be the third derivative of q**6/120 - q**5/12 - q**3/3 - q**2. Let k be (-9 + -1 - -4 - -6) + 6. Calculate the remainder when s(k) is divided by 9.
7
Suppose a = x - a + 62, 0 = 2*x + a + 124. Let n = x - -67. What is the remainder when 16 is divided by n?
1
Let n(a) be the first derivative of -2*a**2 + a + 174. Let b(f) = -3*f**2 - 4*f - 2. Let c be b(-2). Calculate the remainder when n(c) is divided by 14.
11
Suppose 4*p + 40 = 2*p. Let x = 41 + p. Calculate the remainder when x is divided by 9/27*(37 + -1).
9
Suppose -17*f + 44 = -194. What is the remainder when 78 is divided by f?
8
Let h(z) = -2*z**2 + 44*z - 25. What is the remainder when 116 is divided by h(21)?
14
Let k = -21 - -62. Calculate the remainder when 1/(339/2119 + 164/(-1066)) is divided by k.
40
Let b(n) be the third derivative of -3*n**4/8 - n**3/2 + 18*n**2. Calculate the remainder when b(-3) is divided by 668/52 - (-2)/13.
11
Suppose -5*m + 105 = -0*m + q, 2*m - 42 = 5*q. Suppose 19 = 20*g - m*g. Let n = g - -21. Calculate the remainder when 5 is divided by n.
1
Suppose -5*d + g = 101, 0 = 5*d - 5*g + 78 + 27. What is the remainder when 6*(12/(-5))/(8/d) is divided by 3?
0
Let u(b) = -b**2 + b + 2. Let g be u(0). Suppose -n = -4*t + 5*t - 17, -5*n + g*t + 113 = 0. What is the remainder when n is divided by ((-1)/(-2))/(1/16)?
5
Let h = 1740 - 1616. Calculate the remainder when h is divided by 59.
6
Let i be (-4)/8*-1*-2*-3. Suppose n + 4 = 0, b - i*n = 4*b. Calculate the remainder when 9 is divided by b.
1
Suppose 0*c = -4*c. Suppose -2*f + f = -5*h - 82, -2*f + 4 = c. Let g = 13 - h. What is the remainder when g is divided by 10?
9
Suppose 264 = 7*i - 387. Calculate the remainder when i is divided by 48.
45
Suppose 3*k = -3*c + 171, -5*c + 4*k = -408 + 132. What is the remainder when 125 is divided by c?
13
Let o = 5 - -8. Suppose 3*y - 490 = -82. Let p = y - 88. Calculate the remainder when p is divided by o.
9
Suppose -9 - 72 = -9*r. What is the remainder when r is divided by 3?
0
Let h = 15 + -5. Suppose 0 = 5*p - h. Suppose p*k = 12 + 18. Calculate the remainder when 43 is divided by k.
13
Let n be (2/6)/(3/603). Let h = n + -43. Suppose 4*i = 5*a + 60, i - h = -2*a + 4. Calculate the remainder when 37 is divided by i.
17
Suppose -918 = 14*p - 24*p - 92*p. Let t = 72 - 46. What is the remainder when t is divided by p?
8
Let w(m) = m**3 + 6*m**2 - 2. Let s be w(-6). Let z = -41 - -15. Let g = s - z. What is the remainder when 71 is divided by g?
23
Supp