uppose 12 = 3*m, -5*w + w + m = -56. What is the remainder when y is divided by w?
12
Suppose 28 = -3*z - 101. Let j = 46 + z. Suppose 0 = 2*r + 3*a - 34, 5*r - 68 = r + j*a. Calculate the remainder when 25 is divided by r.
8
Let v = -2 + 4. Suppose -238 - 126 = -91*g. Suppose q = v*f + 3*f - 78, -3*f + g*q + 40 = 0. What is the remainder when 62 is divided by f?
14
Suppose -3361 - 783 = -4*i - 4*n, -5*i - 2*n = -5162. Calculate the remainder when i is divided by 192.
70
Let h = 97 - 19. Calculate the remainder when 919 is divided by h.
61
Let i be 5 - 6/(-14)*-7. What is the remainder when (-45)/((-10)/i) + 263 is divided by 53?
7
Let p = -175 - -212. Let a = p - -402. Calculate the remainder when a is divided by 49.
47
Let u = 1017 + 1619. What is the remainder when u is divided by 132?
128
Let j(w) = w**2 + w + 1. Let z(y) = -y**3 + 21*y**2 + 61*y + 30. Let r(x) = -6*j(x) + z(x). Calculate the remainder when 249 is divided by r(18).
39
Let l = -14 + 33. Let g = 6 + l. Calculate the remainder when (12/(-15))/((-2)/310) is divided by g.
24
Suppose -2*n - 5*u + 54 = -7*u, -4*u = 12. Suppose -26*x - n = -34*x. Calculate the remainder when 16 is divided by x.
1
Let f(g) = -g**2 + g. Let t(q) = 2*q - 13. Let o(u) = 2*f(u) - t(u). What is the remainder when 102 is divided by o(0)?
11
Let j = -485 + 893. Suppose -35*i - j = -47*i. Calculate the remainder when 48 is divided by i.
14
Let i be 15/10 + (-70)/(-4). Suppose i*z = 1190 + 83. Suppose -3*d = -4*n + 53, n + 61 = 4*n + 2*d. What is the remainder when z is divided by n?
16
Calculate the remainder when (-4263)/(-42)*(-4 + (6 - -10)) is divided by 13.
9
Suppose 2*t + 813 + 36 = 5*k, 0 = 2*k + 3*t - 313. What is the remainder when 4171 is divided by k?
163
Let t = 492 - 278. Let x be ((-14)/((-588)/(-182)))/(1/129). Let z = -516 - x. Calculate the remainder when t is divided by z.
42
Calculate the remainder when (18/(-7))/(20*177/(-1024240)) is divided by 73.
14
Suppose 2389 - 79 = 66*u. Calculate the remainder when 82 is divided by u.
12
Let h be -19 + 13 - (-4)/(-2). Calculate the remainder when (7 - (14 + h)) + (318 - -2) is divided by 17.
15
Let s = -13 - -7. Let i = 9 + s. Suppose 0 = -5*h + 2*y + 45, i*h + 4*y = 5*h - 34. What is the remainder when 27 is divided by h?
6
Suppose -5*b - 4*b + 240 = -b. Calculate the remainder when 42 is divided by b.
12
Let s = -17895 - -27118. What is the remainder when s is divided by 75?
73
Let w = 17 - -20. What is the remainder when 2*9 + 53400/(0 - -100) is divided by w?
34
Let n = -578 - -623. Calculate the remainder when 942 is divided by n.
42
Let w = -1627 - -583. Suppose 2*k = -10, 4*k = -2*x - 0*k - 26. What is the remainder when (4/3)/(4/w*x) is divided by 9?
8
Suppose -1462 = -j - 4*g + 3126, 5*j - 22769 = -g. Calculate the remainder when j is divided by 95.
87
Let v = -2880 + 3691. Calculate the remainder when v is divided by 21.
13
Suppose 43 = -2*u + 523. Suppose -m - 233 = -u. Calculate the remainder when 21 is divided by m.
0
Suppose -7*u + 11*u - 408 = -2*g, 8 = -4*u. Let h = g + -72. Calculate the remainder when h is divided by 28.
24
Let z(f) = 27*f**2 - 4*f + 4. Let a be z(1). Suppose -a*s = -19*s - 272. What is the remainder when s is divided by 7?
6
Suppose -5*g = -7*g + 14. Suppose 3*k - g*k = 2*l - 14, 0 = -2*l + 4*k - 2. Suppose 0*i - l*i = -39. Calculate the remainder when 24 is divided by i.
11
Let b = 435 - 437. What is the remainder when 90 is divided by 537/11 + (-5)/(55/b)?
41
Suppose 0 = k + k - 30. Let m = -9 + 21. Suppose m*a = 1120 + 824. What is the remainder when a is divided by k?
12
Let w(g) = -121*g + 134. Let n be w(5). Let d = -90 - n. What is the remainder when d is divided by 48?
45
Suppose -2*c + 0*c + 3 = a, 3*c - a = 12. Suppose c*h - 228 = 4*m + 182, 0 = h + m - 125. What is the remainder when h is divided by 22?
20
Let o be 1566/2*3*(-32)/(-12). Suppose 0 = 58*t - 46*t - o. Calculate the remainder when t is divided by 15.
12
Suppose 9*k + 4707 = 18*k. Suppose 4*r + 3*z = 230 + 466, 3*r + 2*z - k = 0. Calculate the remainder when r is divided by 36.
33
Let g = -450 - -470. What is the remainder when 159 is divided by g/12*(-3)/(-15)*162?
51
Let c = 346 + -342. Suppose 3*v + 3*h - 75 = 0, -v - v + 46 = c*h. What is the remainder when 31 is divided by v?
4
Let r = -21 + 31. Let x(d) = 2*d - 17. Let z be x(r). Suppose z*t - 58 = 122. What is the remainder when t is divided by 16?
12
Let r be (0*(-1)/(-1))/(-3 - 2). Suppose -3*q + 13*w - 10*w + 222 = r, q - 86 = -2*w. Calculate the remainder when q is divided by 30.
18
Let z(i) = 9*i**2 + 50*i - 12. Let w be z(-22). Suppose -7*t = -11 - w. What is the remainder when t is divided by 26?
23
Let v(j) = -2*j - 23. Let w be v(-13). Let d = -28 - -32. Suppose -73 = -w*l - d. Calculate the remainder when 67 is divided by l.
21
Let y = 66 + -64. Suppose 2*s - 7 = o + y, -2*s - 2*o = -6. Suppose -4*u + 62 = p - 18, 4*u - s*p = 60. What is the remainder when 94 is divided by u?
18
Suppose 228 = 4*p + 3*i, -p + 0*i + i + 50 = 0. Let q = p + -60. Calculate the remainder when 20 is divided by q/(-4)*(-70)/(-15).
6
Suppose -7*i + 11*i + 8 = 0, -44 = -w + 5*i. Let t be -3*1*(2 + -20). Let q = -49 + t. What is the remainder when w is divided by q?
4
Let k = 312977 - 312964. What is the remainder when k is divided by -4*(-2)/(1*2)?
1
Let t(v) = 115*v - 238*v - 16 - 10*v**2 + 120*v + 2*v**2. Let o be t(-3). Let l = 173 + o. Calculate the remainder when l is divided by 32.
30
Let u = -344 + 555. Suppose -5561*p + 540 = -5546*p. Calculate the remainder when u is divided by p.
31
Let z(m) = 11*m**2 + 10*m + 29. Let d(h) = -h**2 - 5. Let p(a) = 6*d(a) + z(a). Calculate the remainder when 76 is divided by p(-4).
37
Let y(j) = 69*j**2. Let c be 5/25*0 + 0 + 5. Suppose -c*o + 85 = 3*g, -7*g + 8*g = -5*o + 45. Calculate the remainder when y(1) is divided by g.
9
Let f be 1/((-64)/(-24)) - 13/(-8). Suppose 3*g - 5*g + 21 = -3*k, 0 = -f*k - 2. Calculate the remainder when 14 is divided by g.
5
Let v(q) = -93*q + 6068. Calculate the remainder when v(50) is divided by 1408.
10
Let v be 506/(-10) - 94/235. Calculate the remainder when 98 is divided by (17/(v/9))/(1/(-3)).
8
Let c(d) be the third derivative of -1/2*d**3 - 1/10*d**5 + 0*d + d**2 - 1/120*d**6 + 0 - 7/24*d**4. What is the remainder when 9 is divided by c(-5)?
2
Calculate the remainder when 24547 is divided by 69/(5520/(-280))*68/(-7).
33
Let z = -150 + 154. Suppose a + 2*a + z*g = 1154, 2*a - g = 762. What is the remainder when a is divided by 35?
32
Let f be 32/(-6) - ((-48)/9 - -5). What is the remainder when 111 is divided by ((-186 + -4)/f - 3) + -5?
21
Suppose 3*d - 5*j - 1534 = 0, 4*j - 2*j - 526 = -d. Suppose 5*g - 127 = d. What is the remainder when g is divided by 45?
39
Let m = 73299 - 73287. Suppose 2*a = -0*a + 2*v + 248, v = -2*a + 236. What is the remainder when a is divided by m?
0
Let a = 134 + 217. Suppose -9*p + 243 = -a. What is the remainder when p is divided by 34?
32
Let w = -2489 + 2602. What is the remainder when 223 is divided by w?
110
Suppose -2*n + 139 = u + 73, 5*n + 4*u - 171 = 0. Calculate the remainder when 89 is divided by n.
27
Let w(a) = -a**3 + 30*a**2 - 40*a - 256. What is the remainder when w(23) is divided by 115?
112
Let q(j) = 3*j**2 - 13*j + 32. Let s be q(3). Suppose 10 = -2*d + s. Calculate the remainder when 6 is divided by d.
1
Suppose 21*q = 18*q. Let l(h) = h**2 - 7*h - 6. Let o be l(8). Suppose 3*t = -4*s + 36, q = -3*s + s + o*t + 18. What is the remainder when 42 is divided by s?
6
Let q = 61 - 50. What is the remainder when q is divided by (84/(-9))/(-7)*3?
3
Suppose 2*t + 13 = 55. Let z = -136 + 136. Suppose z = -b + 5 + 67. What is the remainder when b is divided by t?
9
Calculate the remainder when -7 - (-1001 + 11)/9 is divided by 178/4 - (-3)/6.
13
Suppose 13*c - 5301 = 10*c - 5*r, -4*c + 2*r + 7120 = 0. What is the remainder when c is divided by 223?
216
Let v(f) = 4*f**3 - 5*f**2 + 27*f - 64. Calculate the remainder when 311 is divided by v(3).
71
Let g be (-747)/(-5) + 1*20/(-50). Suppose 4*l - 238 = -m, 3*m = 7*m + 2*l - 1022. Let d = m - g. Calculate the remainder when d is divided by 22.
21
Let n be (960/100)/(2*(-1)/20). Let q = n + 126. What is the remainder whe