t is the remainder when v is divided by m(11)?
4
Let r(d) = d**3 + 4*d**2 - 3*d - 6. Suppose 129 = 2*o + 3*k, -4*k - 139 - 149 = -5*o. Let n = o + -43. What is the remainder when n is divided by r(-4)?
5
Let m = -302 + 315. What is the remainder when m is divided by 6?
1
Let a(w) = 3*w**3 - 3*w**2 + w - 4. What is the remainder when a(4) is divided by 140?
4
Suppose 10*m = 4*m + 1320. What is the remainder when m is divided by 14?
10
Suppose -4*y + 61 - 9 = 0. Let t(b) = b**2 + 7*b + 7. Let p be t(-5). What is the remainder when 1760/48 - (-2)/p is divided by y?
10
Let b = -43 - -16. What is the remainder when 9/(b/(-6)) - -100 is divided by 35?
32
Suppose -4*s - 2*b - 2 + 90 = 0, -4*b = 0. Calculate the remainder when s is divided by 6/(-4)*(-25)/75*26.
9
Let h be (0 + 0)*6/24. Suppose h = f + 6 - 25. Let y(g) = 2*g**2 + 3. What is the remainder when y(4) is divided by f?
16
Let l = -63 - -152. Suppose -4*o - 2*x = -50, 5*o - 4*x = -20 + l. Suppose 55 = -10*m + 295. Calculate the remainder when m is divided by o.
11
Suppose -5*h + 280 = 4*j, 4*h - 271 = -5*j - 38. Let d(w) = 4*w**2 - 4*w + 3. Let a = -12 + 14. Calculate the remainder when h is divided by d(a).
8
Let l be 67 - (-2 + 1)/(-1). Suppose -18 - 3 = -7*c. Suppose -l = -3*y - c*a, -2*a - 2*a = -5*y + 74. What is the remainder when 69 is divided by y?
15
Let y(j) = 2*j**3 - j**2 + 0*j**2 - 1 - 3*j - 4*j**3. Let v be ((-12)/8)/((18/4)/9). Calculate the remainder when y(v) is divided by 18.
17
Let y = 32 + -30. Suppose -3 = -s - y*s + 3*m, -5 = -2*s + 5*m. Suppose v + 6 = 1, 4*q + 4*v - 8 = s. Calculate the remainder when q is divided by 3.
1
Let o(d) = d**2 - 4*d - 3. Let j be o(4). Let p be -54*(-33)/6 + j. Suppose -7*b + b + p = 0. What is the remainder when b is divided by 10?
9
Suppose 2*j + 8 = 176. Let k = j - -26. Calculate the remainder when k is divided by 14.
12
Let j be (3 - (-5 - -5)) + -33. Calculate the remainder when (7/5 + -5)*j/4 is divided by 4/(-6) - 23/(-3).
6
What is the remainder when 3 + -2 + (249 - -1)/5 is divided by 9?
6
Let f = 408 - 392. What is the remainder when f is divided by 12?
4
Suppose 0 = f + v - 34, -f - 2*v = -23 - 16. Calculate the remainder when f is divided by 15.
14
Let k(d) = 2*d**2 + 10*d + 12. Let g be k(-9). Let z = g - 44. Suppose 0 = 5*l - 213 - 382. Calculate the remainder when l is divided by z.
39
Suppose 4*y = 8*y + 2*q - 114, 2*q + 60 = 2*y. Let j = 29 - y. Suppose j = -8*d + 6*d + 6. Calculate the remainder when d is divided by 3.
0
Let g = 228 - 197. What is the remainder when g is divided by 12?
7
Let t = 49 - -8. Let f(j) = j**3 - j**2 + 3*j - 7. What is the remainder when t is divided by f(3)?
17
Suppose 4740 = -5*s + 35*s. What is the remainder when 466 is divided by s?
150
Let i = 672 - 654. Calculate the remainder when 229 is divided by i.
13
Suppose -4*l + 1 = -3, 4*u + 4*l = 8. Suppose -24*i - 72 = -96*i. What is the remainder when i is divided by u?
0
Let r(y) = -y**2 + 7*y + 4. Let g be r(6). Suppose g*h - 48 = 92. What is the remainder when 52 is divided by h?
10
Let l be 51/9 - 8/12. Suppose -v - 2*x - 6 = 2*v, -l*x = -4*v + 15. Suppose 3*h = -v*h + 33. What is the remainder when 21 is divided by h?
10
Suppose 3*i - 1 = 11, q = i - 10. Let h(k) = 15*k - 3. Calculate the remainder when h(2) is divided by (14/(-3))/(4/q).
6
Suppose 0 = -5*q - 20, -3*q + 948 = -g + 7*g. What is the remainder when g is divided by 44?
28
Let n(j) = -6*j + 1. Let o(k) = 4*k**2 - 3*k - 1. What is the remainder when o(4) is divided by n(-2)?
12
Let k(z) = -z**2 + 3*z + 344. Calculate the remainder when 328 is divided by k(19).
8
Suppose 0 = 2*h - 3*d + 11, -2*h - 3*d - 3 = 2*d. Let g = 4 + h. Suppose 1 = -n + 3*k - g*k, 0 = 3*k - 9. Calculate the remainder when 22 is divided by n.
6
Suppose 0 = u - 4*q + 7 - 23, -2*q = -4*u + 50. What is the remainder when 143 is divided by u?
11
Let t(h) = 3*h + 20. Suppose 5*o - 57 = -2. Calculate the remainder when t(7) is divided by o.
8
Let y(v) = v**2 - 14*v + 66. Suppose 2*m + 245 = 3*n + 6*m, -85 = -n - 2*m. What is the remainder when n is divided by y(10)?
23
Suppose -858 = -t + 5*w, -27*w - 867 = -t - 31*w. What is the remainder when t is divided by 145?
138
Suppose h = -5*u + 243, -u - 3*h + 51 = -6. Calculate the remainder when u is divided by 27.
21
Let n = -35 + 34. Calculate the remainder when 0 - (-2 + n + -7) is divided by 2.
0
Let k(o) = -o + 1. Let h(u) = -4*u + 21. Let n(j) = -h(j) + 5*k(j). Let a be n(-11). What is the remainder when 39 is divided by a/((-1)/2 + 0)?
9
Let b be (4 - 33/9)*15. Suppose 170 = -0*l + b*l + 5*j, -3*l + 5*j = -70. What is the remainder when l is divided by 17?
13
Suppose -11*a = -342 - 406. Suppose -o + 43 = 5*s, -2*s + 13 = 5. Calculate the remainder when a is divided by o.
22
Suppose 6*t + 163 = 337. What is the remainder when 87 is divided by t?
0
Let n(h) = 9*h**2 - 4*h + 2*h + 7*h - 14 - 8*h**2. What is the remainder when n(4) is divided by 13?
9
Suppose 3*x = 3*t - 162, -2*t + 5*x - 6*x + 102 = 0. What is the remainder when t is divided by 9?
7
Let j be ((-26)/5)/((-5)/150). Suppose 4*l + 2*l = j. Calculate the remainder when l is divided by 9.
8
Suppose 1 = -2*b - 5*o, -2*b - 4*o - 3 = 1. Let h = b + 28. Let l(s) = 2*s**2 + 8*s - 13. Calculate the remainder when l(-9) is divided by h.
17
Let h be 2 - (4 + -1) - 1. Let a be h/6 + 63/27. What is the remainder when 78 is divided by 118/6 + a/6?
18
Let c = 431 - 348. What is the remainder when 208 is divided by c?
42
Suppose -8*m = -5*r - 12*m + 1465, 292 = r + m. Calculate the remainder when r is divided by 20.
17
Suppose 5*n + 2 = -8. Let u be -3 - 2/(n/3). Let c = u - -17. What is the remainder when 66 is divided by c?
15
Let n = -2 + -30. Let t = -6 - n. What is the remainder when t is divided by 10?
6
Let s = -109 + 129. What is the remainder when 115 is divided by s?
15
Suppose -4*g = -5*u - 632, 11*g + 4*u = 10*g + 158. Calculate the remainder when g is divided by 20.
18
Let s(f) = -3*f + 24. Let z(a) = 2*a + 62. Let b be z(-33). What is the remainder when s(b) is divided by 14?
8
Let g = -57 + 59. Suppose -4*s - 252 = -g*m, -2*m + 333 - 66 = s. Calculate the remainder when m is divided by 27.
24
Let s(w) = -40*w + 94. Suppose 5*b + i - 270 = 4*i, 0 = 2*b - 3*i - 108. What is the remainder when b is divided by s(2)?
12
Suppose 4*p - g = 553, -2*p + 275 = -2*g + g. Let i = -30 + 58. What is the remainder when p is divided by i?
27
Suppose 2*n - 105 = -5*a + 54, -4*a = -2*n - 138. Let m(c) be the first derivative of 2*c**2 - 3*c - 3. What is the remainder when a is divided by m(3)?
6
Let u(s) = 51*s - 31. What is the remainder when u(3) is divided by 31?
29
Let h(f) = -8*f**3 - 43*f**2 - 8*f - 1. Calculate the remainder when h(-6) is divided by 57.
56
Let p = -371 + 558. Calculate the remainder when p is divided by 27.
25
Let v = -25 + 27. Suppose 0 = u - v*u + 6. What is the remainder when 17 is divided by u?
5
Let g(z) = -5*z + 23. Let s(a) = -14*a + 68. Let m(r) = -11*g(r) + 4*s(r). Calculate the remainder when 55 is divided by m(0).
17
Suppose -4*k = 5*f + 13, 9*f = -5*k + 4*f - 10. Suppose l - 16 = -3*w, -8 = -4*w + 3*w - k*l. Calculate the remainder when 11 is divided by w.
1
Let k(n) = n**3 + 18*n**2 - 40*n + 10. What is the remainder when k(-20) is divided by 4?
2
Suppose -14*n = -2*n - 156. What is the remainder when 102 is divided by n?
11
Suppose 2*r - 508 = m, 5*r - 2*m - 1263 = -3*m. Suppose -r = -5*i - 6*i. Calculate the remainder when i is divided by 5.
3
Let p = 1957 - 1926. Suppose -6*y + 3*y = -36. Calculate the remainder when p is divided by y.
7
Let b = 106 + -68. Suppose -211*f + 222*f = 22. Suppose 0*i = f*i - b. Calculate the remainder when i is divided by 10.
9
Let y be (-18)/(-8) - (4/1)/16. Suppose 4*d = -16, g - y*d + 74 = 3*g. Calculate the remainder when g is divided by (2/(-4))/(1/(-28)).
13
Let m = -196 + 266. Calculate the remainder when m is divided by 18.
16
Suppose 3*w = -x + 3 + 23, 0 = 5*x - 25. What is the remainder when 159 is divided by w?
5
Let q = -34 - -98. Let i(v) = 22*v**2. Let j be (1/(-2))/((-8)/16). Calculate the remainder when q is divided by i(j).
20
Suppose -12*q + 15*q = -5*g + 1838, 0 = 4*q + 16. Suppose -478 = -2*p - g. What is the remainder when 