 = 50*c**3 + c**2 - 2*c + 2. What is the remainder when q(1) is divided by 18?
15
Suppose -1 + 4 = d. Let t(l) = -l**3 - 6*l**2 - 4. Let r be t(-6). Let i(y) = -y**3 - 4*y**2 + 4. Calculate the remainder when i(r) is divided by d.
1
Let n(k) = -39*k + 4. Let w be n(1). Let l = -24 - w. Calculate the remainder when 19 is divided by l.
8
Suppose -5*x = -3*b + 127, 2*x = -x - 6. Suppose 26*z - 31*z = -40. What is the remainder when b is divided by 11 - ((-18)/24 - (-14)/z)?
9
Let a(j) = -81*j - 4. Let v be a(-1). Let d = 100 - v. What is the remainder when 66 is divided by d?
20
Suppose 27 = -31*j + 32*j + 2*o, -o = 5*j - 90. What is the remainder when j is divided by 37/4 + 1/(-4)?
8
Suppose -2 = -5*s + 18. Suppose s*k = -k - 30. Let u = k - -24. What is the remainder when u is divided by 10?
8
What is the remainder when 47 is divided by 49/7 - 6 - -41?
5
Suppose 6*u - 3*u = 183. Let z(s) = s**2 + 3*s - 2. Suppose 5*w + 15 = -3*m, -2*w - 3*m + m - 2 = 0. What is the remainder when u is divided by z(w)?
13
Let t(h) = -h**2 - 8*h - 3. Let c be (-2 - -5)/(3/4). Suppose 5*k = v - 27, c = -3*k + v - 11. Calculate the remainder when t(k) is divided by 5.
4
Suppose 14*n - 19*n + 38 = 3*z, -3*z + n + 50 = 0. Calculate the remainder when 861 is divided by z.
13
Calculate the remainder when 187 is divided by (-12 + 14)*(2 - -3).
7
Calculate the remainder when 28 is divided by (-120)/(-70)*(-28)/(-6).
4
Calculate the remainder when 1594 is divided by (-287 + 7)/(-10) - 0.
26
Let h = 73 - 53. Suppose 4*y - 5*f = -0*f + 405, 0 = -3*f - 3. Let c = y + -41. What is the remainder when c is divided by h?
19
Let v be -1*2 + 0/5 + 4. Suppose 0*r - 24 = -v*r. Calculate the remainder when 46 is divided by r.
10
Let y(j) = 2*j**2 + j. What is the remainder when y(-7) is divided by 48?
43
Let s = -5634 + 5644. Suppose -z = -4*w + 29, -w = 2*z - 7 - 7. Suppose w = b + b. What is the remainder when s is divided by b?
2
Let w(y) = 6*y - 7. Suppose -5*f + 3*j = -17, -6*f + f - 4*j = -24. What is the remainder when 66 is divided by w(f)?
15
Let g = 582 - 488. What is the remainder when 199 is divided by g?
11
Let m = 191 - 176. What is the remainder when 42 is divided by m?
12
Suppose -1097*i + 392 = -1090*i. What is the remainder when 61 is divided by i?
5
Suppose 9*g = 3*j + 4*g, -4*j - 5*g = 0. Suppose j = -y + 4*l - 0 + 14, -53 = -5*y + 3*l. Let f = y - -30. Calculate the remainder when f is divided by 14.
12
Let q = 36 + -36. Suppose -2*s - 4*o - 31 + 147 = q, 0 = 3*o. What is the remainder when 4/(-1) + s - -3 is divided by 20?
17
Let t = 65 + 44. Let r = t + -87. Calculate the remainder when 62 is divided by r.
18
Suppose -30*k = -35*k + 45. Calculate the remainder when 242 is divided by k.
8
Suppose m + 2*m - 33 = 0. Suppose -377*n = -362*n - 255. What is the remainder when n is divided by m?
6
Let y = -4 + -1. Let x be (1/(-3))/(y/30). Suppose 11 = x*u - 1. Calculate the remainder when 21 is divided by u.
3
Let t = 124 - 110. Calculate the remainder when 27 is divided by t.
13
Let w = -13 + -226. Let m = -144 - w. Calculate the remainder when m is divided by 33.
29
Suppose 174 = 2*l - 5*f, -3*f - 178 = l - 3*l. Suppose 6*h + 8 - l = 0. Calculate the remainder when 24 is divided by h.
10
Suppose -3*l + 379 = 5*n, -2*n - 165 = -3*l + 179. Calculate the remainder when 231 is divided by l.
113
Calculate the remainder when (-2)/(-10) - (-1736)/20 is divided by 13.
9
Suppose -10*p + 59 + 171 = 0. Let s(u) = -u**3 + 6*u**2 + 8*u - 9. Let k be s(7). Let g = p - k. Calculate the remainder when g is divided by 7.
4
Let p be 20 - (-3)/(3/(-2)). Suppose -3*c + 2*d + p = 0, 2*d + d + 21 = 3*c. Let w = -22456 + 22458. Calculate the remainder when c is divided by w.
0
Suppose 58*a - 4486 = -194. Calculate the remainder when a is divided by 13.
9
Let l(x) = -x**3 + 10*x**2 - x + 9. Let m be l(7). Suppose 7*t = 131 + m. What is the remainder when t is divided by 9?
4
Suppose 0 = -17*c + 2440 + 2099. What is the remainder when c is divided by 54?
51
Let j = -247 + 277. What is the remainder when 73 is divided by j?
13
Suppose -3*c - 29 = -2*f - 8, 78 = 5*f + c. What is the remainder when 5/(-25) + 342/10 is divided by (-27)/f*20/(-3)?
10
Suppose -212*q + 215*q = -5*k + 181, -q + 4*k + 83 = 0. Let s = 48 - 25. What is the remainder when q is divided by s?
21
Suppose -2*l = l + 402. Suppose 0 = 69*n - 40*n - 493. Calculate the remainder when 6/4*l/(-3) is divided by n.
16
Let y(a) = -7*a**3 - 2*a**2 + 1. Let u be y(-1). Suppose 5*k - u + 14 = 2*s, -5*s = 5*k + 15. Calculate the remainder when 2 is divided by (-10)/(-5)*k/(-2).
0
Suppose 3*b = -4*v + 57, -4*v = v + 3*b - 72. Let n = -4 + 4. Calculate the remainder when v is divided by (3 - n/(-1))*3.
6
Suppose 3*o = w - 207, 2*w + 430 = 4*w - 2*o. What is the remainder when w is divided by 22?
21
Suppose -4*f + 1375 = 5*d, -3*d = -163*f + 165*f - 689. Calculate the remainder when f is divided by 19.
17
Suppose 0 = 4*m + 4. What is the remainder when 100/7 + m + (-4)/14 is divided by 4?
1
Let u(j) = j**3 - 11*j**2 - j + 5. Let q be u(11). Let c be (q/4)/(2/(-44)). Suppose c = 2*r + r. Calculate the remainder when 43 is divided by r.
10
Suppose -98 = -0*c - 2*c. Let f(k) = k**3 - 13*k**2 + 15*k - 11. Let r = -22 + 34. Calculate the remainder when c is divided by f(r).
24
Suppose 0 = 4*b - 19*w + 17*w - 344, 264 = 3*b - 3*w. What is the remainder when 671 is divided by b?
83
Suppose 4*q - 625 = -t, 0 = 3*t - 2 - 13. What is the remainder when q is divided by 26?
25
Suppose 71 = 2*o + 3*v, -5*v = 5*o - 7*v - 206. What is the remainder when o is divided by 8?
0
Let o(c) = -c**3 + 10*c**2 + 29*c - 38. Calculate the remainder when 183 is divided by o(12).
7
Suppose 8*l - 12*l + 120 = 0. Let v = l + -1. What is the remainder when 113 is divided by v?
26
Suppose 3*c = c + 3*g + 245, 0 = -4*c - 5*g + 545. What is the remainder when c is divided by 19?
16
Suppose -3*k - 43 = -2*n, 4*n - k + 2*k = 79. What is the remainder when 53/(3 - (7 - 5)) is divided by n?
13
Let d(k) = 3*k**2 - 5*k - 31. Calculate the remainder when 218 is divided by d(-5).
11
What is the remainder when (-76)/19*(-2 + 1) - -184 is divided by 38?
36
Suppose 321 = 105*w + 2*w. Suppose -5*f + 4*f = -2*p - 1, -8 = -4*f + 4*p. Calculate the remainder when f is divided by w.
0
Let d(v) = -33*v**3 - 2*v**2 + 1. Suppose -k - 2*p = -3 - 4, -5*p + 25 = -5*k. Let i = 19 + -8. Calculate the remainder when d(k) is divided by i.
10
Let q = -42 + 47. Suppose 4*o - 23 = -3*b - 0*b, 0 = q*o - 10. What is the remainder when 6 is divided by b?
1
Suppose -5*b - 4*z = 9 + 2, b + z + 2 = 0. Let u be b + 6 + 0/2. What is the remainder when ((-68)/2)/((-2)/u) is divided by 13?
12
Let q(c) be the first derivative of -c**3/3 + 2*c**2 + 11*c + 5. Calculate the remainder when 11 is divided by q(5).
5
Suppose -2*w + 3*o + 78 = 0, 5*o = -0*o. What is the remainder when 388 is divided by w?
37
Suppose -365*h + 420 = -355*h. Suppose -4*n + 3*q + 48 = 0, 2*n - 2 = 3*q + 16. Calculate the remainder when h is divided by n.
12
Let d = 39 + -14. Let y = 21 + -13. Suppose 13 = y*r - 7*r. Calculate the remainder when d is divided by r.
12
What is the remainder when 1119 is divided by (-3 - -9 - -4) + 0/(-1)?
9
Let p = 65 + 10. Let i(r) = r**2 - 5*r - 10. Suppose -2*q + 18 = -0*q. What is the remainder when p is divided by i(q)?
23
Calculate the remainder when (-1178)/(-6) + 148/(-111) is divided by 67.
61
Suppose 2*d = -5*n - 350, 4*n + n - 945 = 5*d. Let m = -61 - d. What is the remainder when m is divided by 21?
19
Let o(r) = 2*r**2 - 1. Suppose 4*v + 116 = 4*m, 4 = -v + 2. What is the remainder when m is divided by o(3)?
10
Let j = 1337 + -1217. What is the remainder when j is divided by 18?
12
Suppose -b + 876 = 4*g, 7 = -b + 11. What is the remainder when g is divided by 33?
20
Suppose 16377 - 857 = 40*w. What is the remainder when w is divided by 22?
14
Let h be 6/4*(-28)/(-6). Let i(k) be the first derivative of 2*k**2 + 11*k - 179. What is the remainder when i(h) is divided by 14?
11
Let m(d) = 5*d**2 - 5*d - 2*d**2 + 9 + 3*d**2 - 2*d**2 + d**3. What is the remainder when m(4) is divided by 30?
27
Let h = 8 - 6. Suppose 0 = -5*m - 5*w - 10, h*m + 2*m + 3*w + 10 = 0. Let v(s) = s**2 - 4*s - 5. Calcul