 i. What is the remainder when 30 is divided by f?
7
Suppose 15*n - 60 = -15*n. Suppose r + q - 116 = 4*q, 227 = n*r - q. What is the remainder when r is divided by 25?
13
Suppose 103 = m + u - 4*u, 5*u = 20. Suppose -3*c = 3*y - 189, 4*c - 5*y - m = 119. Suppose -20 = -3*a + c. Calculate the remainder when a is divided by 15.
12
Let a(c) = 8*c - 6. Let t be a(2). Let z be (-8)/t + 1608/10. Suppose -3*b - 4 - 34 = -q, 4*b = 4*q - z. Calculate the remainder when q is divided by 21.
20
Let l = 39470 + -39214. Suppose 2*m - 20 - 14 = -z, -2*m + 10 = 0. Calculate the remainder when l is divided by z.
16
Suppose -3*b - 47 = 16. Suppose -2030*f + 2047*f + 697 = 0. Let s = b - f. What is the remainder when s is divided by 6?
2
Let z = -1736 - -2254. What is the remainder when z is divided by 4?
2
Let b = 39 - 44. Let q = b + 16. Suppose q - 47 = -t. What is the remainder when t is divided by 13?
10
Suppose 0 = -3*s - 5*n + 4981, 3*s + n - 2419 - 2578 = 0. Let z = s - 665. Suppose 0 = 9*i - 15*i + z. What is the remainder when i is divided by 21?
20
Let g be 7/(1 + 30/(-24)). Suppose -5*a = 4*k - 142 - 127, 4*a - 3*k - 209 = 0. What is the remainder when a is divided by (-400)/g + -1 + 5/7?
11
Let k(a) = -a**3 - 8*a**2 + 54*a + 23. Suppose 2*n - 19 = 9. Calculate the remainder when k(-13) is divided by n.
12
Suppose -45836 = -266*a + 15404 + 56066. Calculate the remainder when a is divided by 79.
46
Suppose 0 = 3*m - 0 - 3, -5*o - m + 11 = 0. Suppose 0*t + o*t - 196 = 0. Calculate the remainder when t is divided by 8 + 0 - 10*((-648)/(-80))/(-27).
10
Let t(w) = 68*w**2 + 637*w - 638. What is the remainder when 132 is divided by t(1)?
65
Let b(i) = 2*i**2 + 49*i + 17. Calculate the remainder when 120 - (-3)/6*-6 is divided by b(-25).
33
Suppose 5*p - 743 = r, 4*p + p - 3*r - 739 = 0. Let o = 195 - p. Calculate the remainder when 273 is divided by o.
43
Let b be (-138)/(-33) + (-6)/33. Calculate the remainder when (b/6)/((-1)/(-9)) is divided by -1*2 - (-3 - (0 + 0)).
0
Let p(t) = -48*t**3 - 4*t**2 + t + 5. Let x(y) = y**3 + 8*y**2 - 10*y + 4. Calculate the remainder when p(-1) is divided by x(-9).
9
Let j(b) = b**2 - 8*b + 12. Let u = 74 - 67. Let a be j(u). Suppose -6 = -a*z + 3*z. Calculate the remainder when 11 is divided by z.
2
Let u(f) = 5*f + 203. Let h(i) = -i - 51. Let p(c) = -9*h(c) - 2*u(c). Suppose 3*d - 5*d = -242. What is the remainder when d is divided by p(12)?
39
Let i be 4/(-1) + 4*5/20. Let p(o) = -o**3 - 7*o**2 - 2*o + 2. What is the remainder when 0 - i/(-6) - 279/(-6) is divided by p(-7)?
14
Let z(x) be the second derivative of x**5/20 - 5*x**4/12 + 2*x**3 - 49*x**2/2 + 59*x. Calculate the remainder when z(6) is divided by 20.
19
Let r = -1799 - -2006. What is the remainder when r is divided by 38?
17
Calculate the remainder when 6/(-17 - (-75923)/4462) is divided by 57.
46
Suppose -3*h = -7*h. Let r(t) = 13*t + 23. Calculate the remainder when 182 is divided by r(h).
21
Suppose -5*c + 36*z - 33*z = -2483, 0 = 4*c - 5*z - 1989. What is the remainder when c is divided by 100?
96
Let t(i) = 445*i - 2648. Let n(z) = 36*z**2. Calculate the remainder when n(-1) is divided by t(6).
14
Let r(l) = -6*l**3 - l**2 - l + 1. Suppose 0 = -4*w + i - 3*i, 3*w = -5*i + 14. Calculate the remainder when r(w) is divided by 5475/146*(-4)/(-6).
22
Let o = 10 - 16. Let p = 29 - o. Suppose -154*x = 73*x - 60*x - 1503. What is the remainder when p is divided by x?
8
Calculate the remainder when (3 - -3988) + (-5 - 61)/(-6) is divided by 26.
24
Let n = 108 - 108. Suppose -3 = -3*b + 5*z + 107, b - 2*z - 38 = n. Calculate the remainder when 58 is divided by b.
28
Let a(i) = 2*i + 8. Calculate the remainder when a(6) is divided by -3*(-32)/(-24)*(-7)/((-56)/(-12)).
2
Suppose -4*j = -3*v - 132, 2*v = 4*j - 179 + 43. What is the remainder when 1799 is divided by j?
35
Suppose -21 = 4*i - 89. Suppose 216447*f = 216488*f - 369. Calculate the remainder when i/(-2)*(-5 - -3) is divided by f.
8
Let m(a) = -49*a - 185. Let i be m(-12). Let b = 728 - i. Calculate the remainder when b is divided by 8.
5
Suppose 9 = k + a, -k + 26*a + 7 = 28*a. Let o = 3 - -4. Let s = o + k. What is the remainder when 33 is divided by s?
15
Let x(b) = 108*b**2 + 603*b - 7. Calculate the remainder when x(-6) is divided by 39.
29
Let q(b) = 1323*b - 1916. Calculate the remainder when q(2) is divided by 243.
1
Let r(o) = 10*o**2 + 28*o + 1037. What is the remainder when r(-19) is divided by 28?
27
Calculate the remainder when -1076*(35/(-10))/7 is divided by 264.
10
Let m = 11 + 27. Suppose m*d + 24 = 44*d. Calculate the remainder when d is divided by (-2)/4 + (-10)/(-4).
0
Let q = -2492 + 2497. Calculate the remainder when 72 is divided by q.
2
Let l = -1342 - -1384. What is the remainder when 581 is divided by l?
35
Let c = -526 - -540. Suppose 5*v + 378 = c*v. What is the remainder when 148 is divided by v?
22
Suppose 0 = 5*v - s - 36, -5*v - 28*s + 24*s + 6 = 0. Calculate the remainder when 542 is divided by v.
2
Let i(y) = 0*y**2 + 5*y**2 - 6 + 1 - 4*y**2. Let p(l) = -l + 4. Let t be p(-3). What is the remainder when i(t) is divided by 8?
4
Suppose 0 = -5*y + m + 173 - 37, 64 = 3*y - 5*m. Calculate the remainder when 357 is divided by y.
21
Suppose 3*f - 33*w + 36*w - 105 = 0, -5*w - 91 = -2*f. Calculate the remainder when 350 is divided by f.
8
Suppose 5*q + 56*v = 55*v + 294, -2*q = -3*v - 121. What is the remainder when q is divided by 10?
9
What is the remainder when (1311/152)/(87/203696) is divided by 34?
32
What is the remainder when 3488 is divided by (7 + -2)*(-230)/(-46)?
13
Let h(m) = 57*m - 8491. Calculate the remainder when (-371)/(-9) - 4/18 is divided by h(149).
1
What is the remainder when 2/(-11) - ((-2)/(-4))/((-242)/2922964) is divided by 38?
35
Let t(d) = 2*d**2 - 11*d - 5. Suppose 1008 = 12*g + 192. Let s = g + -50. What is the remainder when t(8) is divided by s?
17
What is the remainder when 1803 is divided by 24/(-240) - 61/(-10) - -590?
15
Let m(n) = 4*n**2 - 235*n + 778. What is the remainder when 1938 is divided by m(56)?
156
Let c(b) = -3486*b - 3*b**2 - 5*b**3 + 3483*b - 8*b**3 - 3. What is the remainder when 1099 is divided by c(-1)?
9
Suppose 0 = 86*j + 2*j - 7128. Calculate the remainder when 331 is divided by j.
7
Suppose 3*c + 4*z - 432 = 0, 5*c = 6*z - z + 755. Calculate the remainder when (c/(-37))/((-4)/19) is divided by 6.
1
Let t(q) = 17*q + 6. Let c be t(-3). Suppose 3*l - 271 = -5*u, -3*l = 2*u - 5*u - 231. Let g = c + l. Calculate the remainder when g is divided by 13.
11
Let r = 137 + -114. Suppose -11*q - r + 276 = 0. Calculate the remainder when 102 is divided by q.
10
Suppose 36*n + 9*n - 315 = 0. Calculate the remainder when 178 is divided by 72/(-6) + n + (31 - 2).
10
Suppose -307 = -10*n + 1803. Suppose 4*a = n - 87. Calculate the remainder when 154 is divided by a.
30
Suppose -4*m + 4*w - 59 = -323, 2*m - 125 = -5*w. Suppose -2 = -2*i, 5*i + 10 + m = 5*o. Calculate the remainder when 9/27*(9 + -3) - -73 is divided by o.
11
Suppose -54*x = -100*x + 25622. Calculate the remainder when x is divided by 40.
37
Suppose 2*j = -2*y + y + 30, 0 = 4*y. Let v = 71 + j. What is the remainder when v is divided by (-9)/45 - 82/(-10)?
6
Suppose -16*v + 18*v - 26 = 0. Suppose o - 2*o + m + 157 = 0, 4*m - 443 = -3*o. Let d = o - 103. Calculate the remainder when d is divided by v.
11
Suppose 127*u - 213 = 852 + 840. Calculate the remainder when 2504 is divided by u.
14
Let o(v) = -108 + 44 + 52 + 5*v**2 + 2*v. Let i be o(-5). Let c = 110 - i. What is the remainder when 31 is divided by c?
3
Let u(k) = 71*k**2 - 1. Let b be (4 + -5)/(-1*1). Calculate the remainder when u(b) is divided by (7770/280)/(3/4).
33
Suppose -7151*u + 7163*u - 204 = 0. Calculate the remainder when u is divided by (21/9)/((-2)/(-6)).
3
Suppose 18*t + 7632 = 66*t. Calculate the remainder when t is divided by -1 - (-18 - -1) - -2.
15
Suppose -9*r - 5*j + 174 = -5*r, 4*r + 2*j - 180 = 0. Calculate the remainder when 72 is divided by r.
26
Let h = -405 + 495. Suppose -71 = -w - 25. What is the remainder when h is divided by w?
44
Suppose 5*g + 0*k = -3*k + 1679, 2*k + 1664 = 5*g. Suppose 66 = -332*h + g*h. What is the remainder when h is divided by 16?
1
Let t be (-286)/(-8) -