- 3. Let u be m(1). Suppose -u*y - 12 = -324. Calculate the remainder when 154 is divided by y.
37
Let k(y) = 1 - 5 + 15 - y. Suppose -3*t + 0*t + 1 = 4*a, 8 = 2*a. Calculate the remainder when 27 is divided by k(t).
11
Let y(s) = 8*s**2 - 16*s - 42. Suppose 3*m + 80 = 8*m. What is the remainder when y(-3) is divided by m?
14
Suppose -3*v - s + 4952 + 2574 = 0, -3*v + 7524 = 3*s. Calculate the remainder when v is divided by 836.
1
Let b(h) = 4*h**2 + 95*h + 15. What is the remainder when b(-38) is divided by 19?
15
Let m(x) = 10*x**3 + 2*x**2 + 2*x - 2. Suppose 2*p + 2 = 3*p. Let k be m(p). Calculate the remainder when (6/(-4))/((-1)/k) is divided by 35.
30
Let k(n) = 2*n**2 + 2*n + 4. Let h = -16 + 14. What is the remainder when 21 is divided by k(h)?
5
Suppose 30 = 11*m - 8*m. Let l(p) = p**3 - 10*p**2 + 14*p + 5. What is the remainder when l(m) is divided by 30?
25
Suppose -4*w - 2190 + 2554 = 4*a, 3*w - 3*a = 225. Calculate the remainder when 525 is divided by w.
27
Suppose 64*s = -15*s + 1144 - 117. Calculate the remainder when 451 is divided by s.
9
Suppose -3*x = -x + 8. Let u(a) = 4*a**2 - 1. Let l(w) = -18*w**2 + 7*w + 8. Let c(n) = l(n) + 5*u(n). What is the remainder when 31 is divided by c(x)?
3
Let r(j) = j**3 - 5*j**2 - 10*j + 12. Let s be r(7). What is the remainder when 251 is divided by ((-1530)/s)/(12/(-16))?
47
Let j(c) be the second derivative of -31*c**4/4 + c**3/3 + c**2/2 + 21*c + 2. Let b be j(-1). Let v = b + 105. What is the remainder when 140 is divided by v?
8
Suppose 14*u + 171 = 801. Let m(l) = -l**3 - 10*l**2 - l - 11. Let r be m(-10). What is the remainder when u is divided by 48*(r - (-12)/8)?
21
Suppose 15 = -5*o, -12*u + 8*u = 2*o - 122. Calculate the remainder when 299 is divided by u.
11
Let s = -152576 - -152655. Suppose 0 = -3*k - 0*i + 5*i - 143, 0 = -3*k + 2*i - 149. Let j = -31 - k. Calculate the remainder when s is divided by j.
19
Let z = 37180 + -33997. What is the remainder when z is divided by 3?
0
Calculate the remainder when 92 is divided by 55/2 + 7/((-196)/42).
14
Let a(z) = -9*z - 54. Let i be a(-6). Suppose i = -8*k - 396 + 1364. What is the remainder when k is divided by 61?
60
Let j(k) = k**3 - 4*k**2 - 11*k + 22. Let u be j(4). Let c = u + 56. What is the remainder when 71 is divided by c?
3
Suppose -2661 + 2656 = -f + q, 0 = -2*f - 5*q + 52. Calculate the remainder when 1821 is divided by f.
6
Let k(g) = -g**3 - 3*g**2 - 2*g. Let h be (16/(-10))/((-12)/(-30)). Let j be k(h). Suppose j*c - 25*c + 68 = 0. Calculate the remainder when c is divided by 10.
8
Suppose 4*c + 49*o - 26 = 51*o, -3*c = 2*o - 23. Calculate the remainder when 2344 is divided by c.
6
Calculate the remainder when 6230 is divided by 4/(-11) - (-1073952)/6534.
162
Suppose -4*f - 2*j = -120, 8*j - 12*j = 2*f - 48. What is the remainder when 6653 is divided by f?
29
Let q = -45125 + 45129. Calculate the remainder when (-2)/(-4) + 82/4 is divided by q.
1
Let v = -985 + 1390. Let s = v + -340. What is the remainder when 127 is divided by s?
62
Let v = 8093 - 8081. What is the remainder when 1712 is divided by v?
8
Suppose -3*w - 5*a + a + 29 = 0, -2*w - 3*a + 19 = 0. Suppose w*d - 4422 = -924. Calculate the remainder when d is divided by 80.
78
Suppose -3*a = t - 39, -59 = -a + 4*t - 33. Calculate the remainder when 1773 is divided by a.
9
Let t = -162284 - -162340. Let i = 9 + 6. What is the remainder when t is divided by i?
11
Suppose 0 = -h - 4*s + 417, -5*s + 106 + 310 = h. Calculate the remainder when h is divided by 62.
49
Let r = 4450 - 4402. Calculate the remainder when r is divided by 36.
12
Suppose -3*k - 13 = -4*l + 31, 0 = 5*l - 4*k - 56. What is the remainder when -2 - -6 - (-72 - (-9 + l)) is divided by 35?
5
Let h be 7/2 - (-99)/(-66). Calculate the remainder when 318 is divided by (8/6 + 0)/(h/48).
30
Calculate the remainder when 904 is divided by -2*((-4)/10)/(60/375).
4
Let l(m) = -m**2 - 13*m + 52. Let x = -11 + -4. What is the remainder when 15*3 + (2 - 4) is divided by l(x)?
21
Suppose 23*i + 2*b = 27*i + 26, -5*i = -5*b + 20. What is the remainder when i - (6 + -11) - -58 is divided by 30?
24
Let z be (-2 + -1)*(-4)/4 + -6. Let g be (1/(-3) - -3)/(z/(-9)). What is the remainder when 69 is divided by (4 - 6/8)*g + 2?
13
Let u = -14137 - -14175. Calculate the remainder when 1576 is divided by u.
18
Suppose -5*p - 255 = -2*m + 791, 5*m = -2*p - 401. Let t = -4 - -13. What is the remainder when (p/28)/(4/(-14)) is divided by t?
8
Suppose -5*v + 56 = -14. Suppose 783*a + 2080 = 835*a. What is the remainder when a is divided by v?
12
Let y = -282 - -318. Suppose -150*u = -140*u - 1330. What is the remainder when u is divided by y?
25
Suppose -4*j + 0*o = -2*o - 1992, -4*o = j - 534. What is the remainder when j is divided by 198?
106
Suppose 0 = c - 2*c + 5, 4*c = 2*w - 1896. Suppose 316*o = -318*o - 374*o + 40320. What is the remainder when w is divided by o?
38
What is the remainder when 461 is divided by (-1844)/(-36) - 12/54?
2
Suppose -6*m - 26*m = -46240. What is the remainder when m is divided by 23?
19
Let r = -266 + 152. Calculate the remainder when 283 is divided by (-6)/(3 + 354/r).
55
Suppose -17819*s + 2912 = -17803*s. What is the remainder when s is divided by 47?
41
Let w be (12 - 143)/((-3)/(-9)). Let h = w - -405. Calculate the remainder when 44 is divided by h.
8
Let p(z) = z**3 + 26*z**2 + 9*z - 205. Calculate the remainder when p(-22) is divided by 379.
17
Let m(s) = -5*s + 1. Let c(t) = -t**3 + 11*t**2 - 6*t + 7. Let f(x) = 3*x - 58. Let j be f(21). What is the remainder when c(j) is divided by m(-5)?
23
Suppose 5*h - 145 = 5*t, h - 3*h + t + 56 = 0. Let q(y) = 3*y - 3. Let r be q(-6). Let n = 101 + r. Calculate the remainder when n is divided by h.
26
Suppose -2*p + 4*i + 742 = 0, -67*p - 1432 = -71*p - 5*i. Let q = p + -347. Calculate the remainder when 205 is divided by q.
13
Calculate the remainder when (0 - (-4 + 5)) + (474 - (-2 + -5)) is divided by 98.
88
Suppose v + 900 = 4*i + 2*v, 0 = 3*v + 12. Let s = -203 + i. Calculate the remainder when 83 is divided by s.
14
Let s(b) = 6*b**2 + b + 3. Let p be s(0). Suppose -p*r + 19 = -50. Calculate the remainder when 136 is divided by r.
21
Suppose 185*s - 397 = 802 + 1206. What is the remainder when 4009 is divided by s?
5
Let w = 3187 - 3186. Calculate the remainder when 3 is divided by w.
0
Let r(f) = 14*f**3 + 2*f**2 - 1. What is the remainder when 106 - 115 - (36 + 1)*-1 is divided by r(1)?
13
What is the remainder when -8068*4/(-32)*((6 - -9) + -9) is divided by 112?
3
Let u be (-4)/(-7) - 119/(-49). Suppose 4*j + 11 = 3*f, -2*f = -4*j + u*f - 21. Suppose 5*w = j + 34. Calculate the remainder when 53 is divided by w.
4
Suppose -5*r + 42 = -r + 2*x, 10 = 2*x. Suppose 4*b - 2*h = 10, 10*b + 5*h + 7 = 14*b. Suppose r*s - b*s = 315. Calculate the remainder when s is divided by 22.
19
Suppose -5*o = 18 - 88. Suppose 14*r - 2125 = -71*r. What is the remainder when r is divided by o?
11
Let t = 7 - -64. What is the remainder when t is divided by ((-16)/(-24))/(-3 + (-245)/(-81))?
17
What is the remainder when (-4)/(19 - (-714644)/(-37612)) is divided by 84?
79
Let r be 165/35 + 2/7. Calculate the remainder when 1426/69*(r + 1) is divided by 25.
24
Let u(o) = -4*o**3 - 18*o**2 - 18*o + 281. What is the remainder when u(-7) is divided by 226?
219
Let i be 2 - (-7 - (0 + 3)). Suppose i*m - 273 = -9*m. Calculate the remainder when 38 is divided by m.
12
Let w(m) = -m**3 - 4*m**2 + 6*m + 7. Let p be w(-5). Suppose k - 26 = -4*u - 2*k, -p = -k. Calculate the remainder when u is divided by 4.
1
Let u(f) = f**2 + 37*f - 511. Calculate the remainder when 32 + -1 + 0 + -3 is divided by u(-48).
11
Suppose 0 = -18*h + 22*h + 48. Suppose 41 = 5*y - 14. What is the remainder when y is divided by (-5)/3 + (-56)/h?
2
Suppose 5650 - 1530 + 929 = 17*s. What is the remainder when s is divided by 41?
10
Suppose -32*n - 352 = -1952. Let p(c) = 8*c**2 - c + 2. Calculate the remainder when n is divided by p(2).
18
Let x(z) = 4*z + 240. Let r be x(-14). Suppose -5*i = -r + 9. What is the remainder when 136 is divided by i?
31
Suppose 2*d + 4*p - 24 = d, -4*d + p + 28 = 0. Suppose -2501 = -d*u - 389. Suppose u = 9*c - 7*c. Calculate the remainder when c is di