 the remainder when q is divided by y.
4
Let s(q) = -q**2 + 4*q + 5. Let t be s(3). Suppose b = -3*b + t. Calculate the remainder when 14 is divided by b.
0
Suppose 3*s - 8*s + 400 = 0. Let z = -947 - -950. What is the remainder when (-1)/(-3) + s/12 is divided by z?
1
Suppose -3*f + 72 = -3*p, -5*p - 96 = -3*f - 22. Let z be 4/(-10) - (-84)/35. Suppose -z*r + 227 = 45. What is the remainder when r is divided by f?
22
Let x(g) = 7*g**2 - 6*g + 27. Calculate the remainder when x(6) is divided by 65.
48
Let k(h) = h**2 + 54*h + 217. Suppose 2*l + 5*z - 25 = -3*l, -2*l = -z - 4. Calculate the remainder when k(-4) is divided by l.
2
Let i be 1/(-1 + (-3)/(-2)). Suppose -1 = -u - 5, -10 = -t + i*u. Suppose 4*s + 10 = z, -t*z - 2*s + 57 = -13. Calculate the remainder when 88 is divided by z.
28
Let x = -5469 - -5520. Suppose 4*u = -3*y + 98, 0*y - 48 = -2*u - 2*y. What is the remainder when x is divided by u?
25
Let z = 18 - 5. Suppose 25 = -2*x + n, -x - x - 13 = 3*n. Calculate the remainder when 266/11 - (-2)/x is divided by z.
11
Suppose c - 29*x = -33*x + 63, -x - 228 = -3*c. Calculate the remainder when 443 is divided by c.
68
Let n(g) = g. Suppose 0 = -8*p + 6 + 2. Let z(s) = -s - 12. Let i(v) = p*z(v) - 2*n(v). What is the remainder when 29 is divided by i(-9)?
14
Suppose 4*z + 5 - 21 = 0, -2*t - 4*z + 208 = 0. Let c = t - 89. What is the remainder when 19 is divided by c?
5
Suppose 0*j - 5*j + 90 = 0. Suppose 3 = -3*a + j. Suppose -8 = -a*t + 3*t. What is the remainder when 10 is divided by t?
2
Let w = 61 + -14. Let g = 21 + w. What is the remainder when g is divided by 9?
5
What is the remainder when 47 is divided by (352/55 + -6)/(2/180)?
11
Suppose -b + 0*b = -67. Suppose -2*j - 1 = -b. What is the remainder when j is divided by 12?
9
Let v = -135 + 150. What is the remainder when 58 is divided by v?
13
Suppose -73*p - 488 = -77*p. Calculate the remainder when p is divided by 114.
8
Suppose -131 + 175 = 2*n. What is the remainder when 81 is divided by n?
15
Let u = 35 + 1. Suppose -k + 3*l = -u, 4*l - l - 6 = -k. What is the remainder when 60 is divided by k?
18
Let t = -17 + 28. Suppose 0 = -2*g, 2*i - 3*g = 29 + 17. Let a = 7 + i. What is the remainder when a is divided by t?
8
Suppose 5*u + 3*z = 94, 2*u + 4*z - 24 = 22. Let k = -255 + 262. Calculate the remainder when u is divided by k.
3
Let l be (2 + 1)/((-1)/(-1)) + 2. Suppose -38 = l*s - 193. Calculate the remainder when s is divided by 10.
1
Suppose 0 = -44*s - 2*s + 5750. Calculate the remainder when s is divided by 33.
26
Suppose 3*g - 201 = -3*u, -4*g - 4*u - u + 268 = 0. Calculate the remainder when 198 is divided by g.
64
Suppose -4*z - 4*o + 16 = 0, -3*z - z - 2*o + 20 = 0. Let h(k) = 2*k**2 + 4*k - 3. What is the remainder when h(2) is divided by z?
1
Suppose -37*b + 34*b = -2*k - 6157, -4*b + 4*k + 8204 = 0. Calculate the remainder when b is divided by 11.
9
Let r be (190/(-4))/1 - (-3)/6. Let c = r - -55. Let t = -30 + 60. What is the remainder when t is divided by c?
6
Let q(g) = g + 1. Let o(s) = -s**3 - 6*s**2 + 24*s + 157. Calculate the remainder when o(-6) is divided by q(6).
6
Let p(s) be the first derivative of 26*s**3/3 - 3. Let c(l) = l**3 + 12*l**2 - 2*l - 15. What is the remainder when p(-1) is divided by c(-12)?
8
Let o(w) = -w**3 - 21*w**2 - 21*w - 3. Calculate the remainder when 304 is divided by o(-20).
15
Suppose -2*v + 6 = 0, 312 = 5*l - 2*v + v. Suppose -2*y - 3*y = -5, -b + l = -3*y. What is the remainder when b is divided by 17?
15
Calculate the remainder when 183 is divided by (-5)/((-5)/9) + (-20)/4.
3
Let r(y) = -7*y + 169. What is the remainder when r(17) is divided by 17?
16
Suppose -22 = -a - 5. What is the remainder when a is divided by 3/(24/20)*2?
2
Suppose 233 = 4*b - p, 5*b + 5*p = 87 + 223. Calculate the remainder when 112 is divided by b.
53
Let q = 140 - 98. Calculate the remainder when q is divided by (-4)/(28/(-154)*1).
20
Let u(k) = -2*k**2 + 15*k - 5. Suppose i + 28 = 5*r - 4, -4*i + 40 = 4*r. Calculate the remainder when 6 is divided by u(r).
0
Let f = 3 - 7. Let v be (-5)/(-20) - (-217)/f. What is the remainder when 33 is divided by 2/(-9) + (-498)/v?
6
Let t(u) = 27*u**2. Let n = 2 + 0. Let v be t(n). Suppose 0 = 3*s + 3*l - 18 - 42, -5*s + v = l. Calculate the remainder when 85 is divided by s.
19
Let z = -50 - -95. Suppose -u + 2*m + z = 0, 4*m + 0 + 225 = 5*u. Calculate the remainder when u is divided by 1/(-2) - 99/(-6).
13
Suppose 0*s + 3*s + p = 564, -3 = -p. What is the remainder when s is divided by 24?
19
What is the remainder when 3883/143 + (-6)/39 is divided by 14?
13
Suppose f - 2*f = -20. Let b(q) = -2*q**2 - 23*q + 19. What is the remainder when b(-8) is divided by f?
15
Let u = 287 + -273. Suppose 0 = t - 6*t + 205. Calculate the remainder when t is divided by u.
13
Suppose 0 = -4*t + 2*c + 1242, -4*c = 3*t - 1332 + 417. Calculate the remainder when t is divided by 62.
61
Calculate the remainder when (4 - -1)*(31 - 28/(-7)) is divided by 14.
7
Let i = -73 + 37. What is the remainder when ((-57)/(-18))/((-6)/i) is divided by 7?
5
Let d(i) = 2*i - 1. Let h be d(-5). Let t = h - -29. What is the remainder when 71 is divided by t?
17
Calculate the remainder when 157 is divided by 4 + 0/((-6 + 0)/6).
1
Suppose 0 = -q + 7*a - 2*a + 165, -5*q - 2*a = -717. Calculate the remainder when q is divided by 51.
43
Let z(x) = -5*x + 69. Calculate the remainder when 60 is divided by z(12).
6
Suppose -25*a = -27*a + 24. Suppose p = -5, 3*f - 12 = 5*f + 2*p. What is the remainder when (-15 - f)*(-5)/2 is divided by a?
11
Suppose 2*c = -2*c + 588. What is the remainder when ((-128)/12)/(-8)*c is divided by 22?
20
Let z be 388/5 + (-42)/70. Suppose -x = -3*h - 50 - 19, -x - h + z = 0. What is the remainder when x is divided by 26?
23
Suppose -a - a + 4*i = -484, 2*a - 478 = 6*i. Calculate the remainder when a is divided by 20.
8
Suppose -3*l + 0*l + 12 = 0. Suppose 0 = -t - 2*o + 21, -l*t + 2*o = -3*t - 13. What is the remainder when t is divided by 10?
7
Let h(d) = -2*d**3 + 15*d**2 - 6*d - 3. Let z be h(7). Suppose -3*c + 9 = 0, -z*c = -2*y - y + 135. Calculate the remainder when y is divided by 21.
7
Let z be -1 + 5/(20/(-108)). Let l = z + 39. What is the remainder when 98 is divided by l?
10
Let s(u) = -u + 4. Let d be s(0). Let r be d*(7/2 + -3). Suppose 0 = -3*a - 4*o + 12, a - r*o + 1 - 5 = 0. What is the remainder when 9 is divided by a?
1
Let z(s) = -s**3 - 15*s**2 + 22*s - 26. Calculate the remainder when z(-17) is divided by 12.
10
Let o = 80 - 57. Let p(s) = 3*s**2 - s - 3. Let z be p(0). Let c(j) = -4*j - 6. What is the remainder when o is divided by c(z)?
5
Let c be (-4)/(-6) - 28/(-12). Let f(m) = 4*m**3 + 2*m - 2. What is the remainder when f(c) is divided by 23?
20
Let x = 210 - 113. Calculate the remainder when x is divided by 50.
47
Let x(v) = 2*v. Let u be x(1). Suppose u*y - 4*y = -30. Suppose 4*n - 8 = 12. Calculate the remainder when y is divided by n.
0
Let n = 456 + -178. Suppose 0 = 408*z - 403*z. Suppose -b - 4*p + 9*p + 53 = z, 0 = 4*b + 2*p - n. Calculate the remainder when b is divided by 23.
22
Let m be (128/(-12))/(1*2/(-18)). Let s = m - 78. Calculate the remainder when s is divided by 11.
7
Suppose 2*s - 2*h = 88, 29*s + 2*h = 26*s + 142. Calculate the remainder when s is divided by 4.
2
Suppose 194 = s - 2*g, 5*s + 0 = 3*g + 956. Let o = -83 + s. What is the remainder when o is divided by 36?
35
Let c = -4 + 6. Let n be (3/(c - 1))/1. Suppose 14 = n*b - 2*b. What is the remainder when b is divided by 5?
4
Suppose 32 + 128 = 8*v. What is the remainder when 516 is divided by v?
16
Suppose -1 = -2*o + 9. Suppose -o*b + 371 = 2*z, 3*z - 2*z = -5*b + 373. Let d = b + -38. What is the remainder when d is divided by 20?
17
Let j = -8 - -11. Suppose 2*v - j*v - 2*f = -21, 0 = 4*v + 5*f - 72. Suppose -5*q + 296 = 3*q. What is the remainder when q is divided by v?
11
What is the remainder when (-14)/49 + (0 - (-158)/14) is divided by 4?
3
Let n(u) = u**3 - 8*u**2 + 6*u + 4. Let w be n(7). Suppose 4*z - 4 = -i, -2*z + 3 = -2*i + 1. What is the remainder when w/6 + 2 + (-6)/12 is divided by z?
0
Calculate the remainder when 72 is divided by 11 + -2 + (10 - -4).
3
Let f(c) = -c**2 - 2*c - 1. Let h be f(-5)