hat is the remainder when 68 is divided by k?
33
Let s(n) = n**3 + 2*n**2 - 3*n - 3. Let u be s(-2). Suppose -14 = -2*f + 2*q, 3*f + q = -u*q. Calculate the remainder when 17 is divided by f.
1
Let o(a) = 2*a**2 + 149*a + 446. Calculate the remainder when 20 is divided by o(-3).
3
Let r = -45 - -214. Calculate the remainder when r is divided by 17.
16
Let p(b) = 23*b - 1017. What is the remainder when 843 is divided by p(45)?
15
What is the remainder when 409 is divided by (-26)/30 + 1 + (-28244)/(-345)?
81
Let p = 171 - 145. Calculate the remainder when p is divided by 3.
2
Let h = 110 + -58. Suppose 5*r + 175 = -3*m, -5*m = -5*r - m - 210. Let q = -20 - r. Calculate the remainder when h is divided by q.
16
Suppose 4*h + 3*h - 987 = 0. Let o(f) = -f + 15. Calculate the remainder when h is divided by o(-3).
15
What is the remainder when 235*(-13 - (-760)/50) is divided by 174?
169
Suppose 164 = o - 5*m, 23 = -4*o + 5*m + 694. What is the remainder when o is divided by 41?
5
Let a(m) = 39*m. Calculate the remainder when a(1) is divided by 9.
3
Suppose 3*l - 184 = 29. Let r = -106 - -91. What is the remainder when l is divided by 29 - r/12*-4?
23
Let x = -43 - -55. What is the remainder when x is divided by 8?
4
Let t(g) = 14*g - 14. Suppose -11*s = -7*s + 12, -i - 2*s = -3. Calculate the remainder when t(4) is divided by i.
6
Let l be -5 - (3/3 - 3). Let w be -7*((-17)/(-7) + l). Suppose 43 = 5*r + w*j, -r + 6 = -j + 1. Calculate the remainder when 23 is divided by r.
2
Suppose k = 6*k + 135. Let f = 62 + -95. Let n = k - f. Calculate the remainder when 21 is divided by n.
3
Suppose 5*j - 4*k - 266 = -105, 0 = j + 5*k - 38. What is the remainder when 624 is divided by j?
30
Suppose -3*n + w + 157 = 18, 5*w = 3*n - 131. Calculate the remainder when n is divided by 10.
7
Calculate the remainder when 122 is divided by (-23779)/(-948) + 2 + (-25)/12.
22
Let z(i) be the second derivative of 4*i**3/3 + i**2 + 5*i. Calculate the remainder when 88 is divided by z(2).
16
Let k be (-1 + (-82)/(-10))/((-18)/90). What is the remainder when 163 is divided by k/(-3) - (-1 + -2)?
13
Let s = -20 - -26. Suppose 155 = 11*o - s*o. What is the remainder when o is divided by 11?
9
Suppose i + 5 = -3. Calculate the remainder when 5 is divided by 4/i*2/(-1) + 2.
2
Suppose 29*h - 24 = 26*h. Calculate the remainder when 39 is divided by h.
7
Let o(k) = 6*k - 16. Let j be o(4). Let l = 106 - j. Suppose 2*u = -3 + 53. Calculate the remainder when l is divided by u.
23
Let y be -2 - (-24)/(15/5). Suppose -v + 2*o = 21, 3*o - 15 = -2*o. What is the remainder when y/v + (-994)/(-10) is divided by 25?
24
Suppose 4*v + 4 = -8, -v = -k + 5. Calculate the remainder when k is divided by 2.
0
Let u(h) = 3*h + 9. Let v be u(-3). Let m(s) = -2*s**3 + s**2 + 2*s + 18. Calculate the remainder when 51 is divided by m(v).
15
Let g(v) = 3*v - 1. Let j be g(0). Calculate the remainder when 48 is divided by (0 - j - -13)/1.
6
Suppose -24663 + 8895 = 3*c. What is the remainder when (-2)/3*c/48 is divided by 19?
16
Let v(u) = -u**2 - 7*u + 5. Let n be v(-7). Suppose 1 = 3*t - n. Calculate the remainder when (45/(-10))/(t/(-4)) is divided by 6.
3
Let c(f) = -f**2 + f - 12. Let d be c(0). Calculate the remainder when 154 is divided by 3/d*0 - -31.
30
Calculate the remainder when (5 + 4)*1/1 is divided by 6.
3
Let p = 9 + -1. Let n(t) = 22*t**2 + 127*t - 126. What is the remainder when n(1) is divided by p?
7
Let a(u) = -77*u + 1. Let c be a(-1). Suppose 5*v + c = 463. Calculate the remainder when v is divided by -2 + 19 - (-1 - 2).
17
Suppose -37 = i - 10. Let h = -24 - i. What is the remainder when 15 is divided by h?
0
Let x(y) = -6*y - 61. Calculate the remainder when 106 is divided by x(-22).
35
Let x = -108 - -82. Suppose 0 = -0*t + 4*t - 140. Let w = t + x. Calculate the remainder when 33 is divided by w.
6
Let t = -91 + 174. Suppose m = -4*z + t, -5*z + 106 = 3*m - 3. Calculate the remainder when 34 is divided by z.
14
Let f(g) = g**3 - 11*g**2 + g + 12. Let h be f(10). What is the remainder when 82 - (-3 - 17)/(-4) is divided by 16/(-6)*h/8?
25
Suppose 3*x - t - 12 = 0, 22*x - 17*x + 4*t = 37. What is the remainder when 6 is divided by x?
1
Calculate the remainder when 236 is divided by 2 - ((-271)/7 - 42/147).
31
Let h(l) = -6*l + 15. Let z be h(3). Calculate the remainder when z + 27 + (-1 + -3 - 0) is divided by 5.
0
Suppose -80 = -9*k + 5*k + 4*l, 2*l = 5*k - 106. What is the remainder when 635 is divided by k?
19
Let a = 405 + -235. Suppose a + 58 = 4*x. Let m = -1026 + 1041. Calculate the remainder when x is divided by m.
12
Let n(r) = -r**2 - 11*r + 2. Let q be n(-8). Suppose -j + 23 = 3*s - q, -2*j = -4*s + 72. Suppose 2*y = s + 3. What is the remainder when 36 is divided by y?
6
Let i = -2728 - -2900. Calculate the remainder when i is divided by 67.
38
Let z = 124 + -32. What is the remainder when z is divided by 19?
16
Suppose 134*c - 127*c = 42. Calculate the remainder when 129 is divided by c.
3
Suppose k - 20 = -l + 3*l, 0 = 2*l - 3*k + 12. Let a = -4 - l. Calculate the remainder when a is divided by ((-20)/14)/(38/(-133)).
3
Suppose -10*o = -1265 - 35. Suppose -2*p = -7*p + o. Calculate the remainder when 207 is divided by p.
25
Let a be 2/8 - (-126)/8. Suppose -3*w = 2*q - 0*q - a, 2*q - 3*w - 4 = 0. Let s(h) = 10*h + 113. What is the remainder when q is divided by s(-11)?
2
Calculate the remainder when -3 + ((-6460)/(-16) - (-8)/32) is divided by 31.
29
Suppose 13*a = 4*a + 1602. What is the remainder when a is divided by 61?
56
Suppose 4*l + 5 = 1. Let s(z) = 2*z**2 - 2*z - 1. What is the remainder when 5 is divided by s(l)?
2
Let g(c) = 41*c**2. Let q(u) = 5*u - 10 + 7*u - 8*u. Calculate the remainder when g(1) is divided by q(6).
13
Suppose 2*p - 228 = -p. What is the remainder when p is divided by (3/(-9)*-3)/((-3)/(-39))?
11
Suppose 17*o - 16*o - 241 = 0. What is the remainder when o is divided by 27?
25
Let r(l) = l**2 + 10*l - 7. Let w be r(-11). Let u be 1262/w + 2/(-4). Suppose -u = 5*z - 10*z. Calculate the remainder when z is divided by 22.
19
Let j = -518 + 226. Let y = j - -436. Suppose y = 5*n - 241. Calculate the remainder when n is divided by 20.
17
Let c = -62 - -105. Let h be (3 + -4)*c + 3. What is the remainder when 36 is divided by (-2)/(4/h + 0)?
16
Suppose -64 = 3*u - 223. Let b = u + -38. Calculate the remainder when 53 is divided by b.
8
Calculate the remainder when -12 - (-60 + -15) - (4 - -1) is divided by 13.
6
Suppose 12 = 10*w - 58. Calculate the remainder when 18 is divided by w.
4
Let s(x) = 2*x**2 - 21. Let j be s(6). Suppose 64 = 5*g - j. What is the remainder when 85 is divided by g?
16
Suppose -32 = 3*v - 7*v. Let k(u) = 2*u**2 - 4*u + 11. What is the remainder when k(v) is divided by 55?
52
Let q = -13 - -13. Let t be q/12*(-2)/(-6). Suppose t*i = -i - 3*s - 8, -5*i - 4*s + 4 = 0. What is the remainder when 6 is divided by i?
2
Let l(t) = -2*t**3 + 24*t**2 - 7*t + 4. Calculate the remainder when l(10) is divided by 14.
12
Suppose 0 = -3*y - 2*q + 15, 2*y = -3*y - 4*q + 27. Suppose -y*l = 4*f - 8*l - 228, -228 = -4*f - l. Calculate the remainder when f is divided by 20.
17
Calculate the remainder when (138 + -1)/((-93)/(-186)) is divided by 35.
29
Let x be 9/6 - 4/8. Let j(v) = 4*v**3 + v**2 - 1. Let q be j(x). What is the remainder when 45 is divided by (q/10)/(3/180)?
21
Suppose 9*j + 310 - 1957 = 0. What is the remainder when j is divided by 32?
23
Let p(h) = h**3 + 5*h - 5. Let r = -17 - -33. Suppose c = n - 2*n + r, c + 84 = 4*n. What is the remainder when p(4) is divided by n?
19
Calculate the remainder when (-1 + 0)*4/(24/(-474)) is divided by 9.
7
Suppose 151 = -9*i + 241. Let t = 60 + -34. Calculate the remainder when t is divided by i.
6
Let m = -22 + 39. Suppose -55 = -5*l + 2*j, 4 = l - j - 4. Let n = l - 3. What is the remainder when m is divided by n?
7
Let m = -32 - -28. Let t(c) = -c**3 - c**2 + 4*c + 3. Calculate the remainder when 172 is divided by t(m).
32
Let q(n) = -14*n - 2. Let s = -157 - -171. What is the remainder when q(-7) is divided by s?
12
Let u be (-6)/105*-5 - 1424/(-14). Let q = u + -84. Calculate the remainder when 86 is divided by q.
14
Let x = 68 + -48. What is the remainder when 45 is divided