ivided by k?
1
Suppose 47*q - 33*q = 2450. Calculate the remainder when q is divided by 4.
3
Let l be 8/(-20) - 16/10. Let j(n) = -n + 2. Let r(g) = g**3 + 9*g**2 - 11*g + 5. What is the remainder when r(-10) is divided by j(l)?
3
Let l(j) = j**2 - 1. Let b(t) = 3*t**2 - 8*t + 8. Let n(q) = b(q) - 4*l(q). Let y be n(-12). Let z = y + 60. Calculate the remainder when z is divided by 5.
4
Suppose 0 = 21*d + 105 + 84. Calculate the remainder when (-12 - (d + 0)) + (-1 - -346) is divided by 49.
48
Let n(z) = 15*z + 175. What is the remainder when (33 + 15/(-3))*74/8 is divided by n(-10)?
9
Let u be 1/((-5)/(79 - 4)). Let d = -14 - u. Calculate the remainder when (d/(-1))/(0 + (-2)/354) is divided by 36.
33
Let q = 3992 - 3969. Calculate the remainder when 241 is divided by q.
11
Let z = 1463 + -756. Suppose 44*g = -z + 3699. Calculate the remainder when g is divided by 28.
12
Suppose z - 81 = -u, 0 = -2*z + 2*u + 160 + 30. What is the remainder when 1824 is divided by z?
64
Let p(z) = 58*z**3 - 4*z**2 + 7*z - 4. Calculate the remainder when 1021 is divided by p(1).
52
Let g = -62 - -64. Let c(t) = 3*t + 10. Calculate the remainder when 124 is divided by c(g).
12
Let a = 3018 + -2911. Calculate the remainder when 414 is divided by a.
93
Let j(g) = -g + g**2 - 102 + 0*g + 2*g. Let f = 88 + -50. Calculate the remainder when j(14) is divided by f.
32
Let r = -149 - -255. Let h(i) = -i**3 - 66*i**2 - 66*i - 49. Calculate the remainder when r is divided by h(-65).
10
Suppose -9538 = -25*v + 8962. Calculate the remainder when v is divided by 107.
98
Suppose -29*d - 510 = -31*d. Let j = 23 + -11. What is the remainder when (-14)/((-10)/d*3) is divided by j?
11
Let l = 145 + -65. Suppose -83*d - 70 = -2*a - 79*d, 5*a = -4*d + 273. What is the remainder when l is divided by a?
31
What is the remainder when 789 is divided by 534/78 - 3 - 48/(-312)?
1
Let a = -3577 + 3665. What is the remainder when 200 is divided by a?
24
Let g = -2751 + 2784. Let d(b) be the second derivative of b**4/12 + b**3/6 + b**2/2 - b. What is the remainder when g is divided by d(-3)?
5
Let o(k) = 2*k**3 - 3*k**2 + 6*k + 4. Let q be o(7). Let a = q - 289. What is the remainder when a is divided by 60?
56
Let s(d) = -3*d + 22. Let m be s(-6). Let i = m - 15. Calculate the remainder when 95 is divided by i.
20
Let t = -991 + 1751. Suppose -4*b - 6*b = -t. Let d = 144 - b. Calculate the remainder when d is divided by 10.
8
Suppose 0*u - 4*u = -7*u + 20637. Calculate the remainder when u is divided by 80.
79
Let g be ((-238)/6)/7 - 3/9. Calculate the remainder when (-70)/(-105) + (-1070)/g is divided by 18.
17
Let k(i) be the first derivative of -i**3/3 + 6*i**2 + 39*i + 207. Calculate the remainder when k(12) is divided by 23.
16
Suppose 75 = -m + 3*j - 7*j, 93 = -m + 5*j. Suppose -2*b - 304 = -2*w, 5*w - 494 = b + 270. Let y = w + m. Calculate the remainder when y is divided by 12.
10
Suppose r + 5443 - 739 = 25*r. What is the remainder when r is divided by 185?
11
Let v = -11 - -5. Let x(g) = 3*g**2 + 8*g - 4. Suppose 7*y = j + 5*y - 11, -2*y = 3*j - 65. What is the remainder when x(v) is divided by j?
18
Let i be 7*(-8)/(-84)*9. Suppose -5*z = 2*q + i, 3*q - 21 = 3*z - 9. Calculate the remainder when 30 is divided by q.
0
Let c = -17313 - -18727. What is the remainder when c is divided by 360?
334
Let j = -69 + 187. Suppose -j*k = -121*k. Suppose 2*d - 14 = -5*b, 0 = 5*b + d - k*d - 12. Calculate the remainder when 29 is divided by b.
1
Let b = -189785 + 190077. Let a = 123 - 64. What is the remainder when b is divided by a?
56
Let q = 173 - -120. Calculate the remainder when q is divided by 26.
7
Suppose -159*v - 1350 + 12578 = -3877. Calculate the remainder when 281 is divided by v.
91
Let x = -16 + 44. Suppose -26 = -2*s + 3*p, 3*s + 16*p - x = 15*p. Calculate the remainder when 46 - (1/(-1))/1 is divided by s.
7
Let g = -392 + 407. Suppose 25*w + 3*q = 24*w + g, 67 = 4*w + 5*q. What is the remainder when w is divided by (0 - 2)*26/(-4)?
5
Suppose -u - 19 = r + 38, -5*u + 3*r = 293. Suppose -441 = -716*a + 723*a. Let x = u - a. What is the remainder when 8 is divided by x?
3
Suppose -w + s = 4*s - 144, 3*w = -s + 432. What is the remainder when w is divided by 16?
0
Let w(y) = 1311*y - 12504. What is the remainder when w(11) is divided by 60?
57
Let i be -30*(-7 - -5) + -7. Suppose -2*p + h + 123 = 0, 327 = -0*p + 5*p + 4*h. Let o = p - i. Calculate the remainder when 38 is divided by o.
8
Let u be -3*(-15 - 1)/4. Let h = u + -1. What is the remainder when ((-33)/55)/((-4)/280) is divided by h?
9
What is the remainder when 204 is divided by (-110 - 5)*(42 + -43)?
89
Suppose 4*m = -p + 24, -17*m - 29 = -22*m - p. Suppose -o + 3*q + 54 = 0, -5*o + 6*o - 22 = -m*q. Calculate the remainder when 123 is divided by o.
39
Let q(b) = -b**3 + 20*b**2 - 14*b + 258. Calculate the remainder when q(18) is divided by 204.
42
Suppose 111 = 9*z - 33. Suppose z*h - 17*h = -152. Calculate the remainder when h is divided by 13.
9
Let j(s) = -s**2 - 10*s + 156. Calculate the remainder when 526 is divided by j(-18).
10
Let d(k) = 9*k + 756. What is the remainder when d(5) is divided by 253?
42
Let h(n) be the first derivative of -13 + 11*n - 5/2*n**2 + 1/3*n**3. Calculate the remainder when h(15) is divided by 41.
38
Suppose -20*z - 829 + 2829 = 5*z. What is the remainder when 374 is divided by z?
54
Suppose -24*w + 2530 = 32*w - 34*w. Calculate the remainder when 10809 is divided by w.
114
Let y(g) = 167*g**2 + g + 2. Let u be y(-2). Suppose u = 7*a - 137. Calculate the remainder when a is divided by 15.
10
Let r = 231 + -292. Suppose 2*c + 37 = c. Let s = c - r. Calculate the remainder when 45 is divided by s.
21
Suppose -20*m = -2128 - 1512. Suppose -m*h = -176*h - 1560. What is the remainder when h is divided by 6?
2
Let g(j) = -15*j + 213. Calculate the remainder when 213 is divided by g(12).
15
What is the remainder when 15 is divided by (-1)/(-3) + (-1936)/264 - -13?
3
Let b = 76 + -64. Let z = -47 - -50. Calculate the remainder when b is divided by z.
0
Let s be ((-5)/(-15))/(1/(-9)) - 33. Let p be (445/20)/((-39)/s - 1). Suppose -12 = 3*u, -3*z = 2*u - p + 62. Calculate the remainder when z is divided by 6.
5
Suppose -2*o = -5*n + 709, -2*o = 3*n - 7*o - 433. What is the remainder when n is divided by (18/12)/(-3)*-108 - 3?
39
Let o = 19714 - 19253. What is the remainder when 1852 is divided by o?
8
Suppose 3*t = -933 + 141. Let f = 297 + t. Calculate the remainder when 100 is divided by f.
1
Suppose -55 = -5*y - 4*d, 18 = 5*d - 7. Let f(l) = -7*l - 1902*l**2 + 1901*l**2 + 19*l + 6*l - 14. What is the remainder when f(y) is divided by 23?
17
Calculate the remainder when 197 is divided by (((-33930)/(-225))/(-29))/((-1)/20).
93
Suppose 8*k - 914 = 2006. Let c = k + -281. What is the remainder when c is divided by 24?
12
Suppose -407*g = -416*g + 18. Calculate the remainder when 357 is divided by ((-264)/154)/(g/(-14)).
9
Suppose -37 = 4*g - 53. Calculate the remainder when 229 is divided by (156/21)/(3*g/42).
21
Suppose -23 = -5*w - 8. Let x = w + 8. Calculate the remainder when x is divided by -20*18/(-1260)*7.
1
Let t(u) = -u**3 + 68*u**2 + 154*u - 644. What is the remainder when t(70) is divided by 167?
2
Suppose -4*a = -190 - 22. Suppose -4*p = -0*p - 328. Let d = p - a. Calculate the remainder when d is divided by 6.
5
Let v = -20263 + 20337. What is the remainder when 884 is divided by v?
70
Suppose 47 = 3*a - s, 4*s = -5*a + 30 + 37. Suppose 14*l - 13*l - 4*w = 744, -15 = -3*w. Suppose 16*i + 60 = l. What is the remainder when i is divided by a?
14
Suppose 2*t - 3*t = -10. Let g = t + 4. Suppose 0 = -0*s - 4*s - 5*m + 348, -3*s - 3*m = -258. Calculate the remainder when s is divided by g.
12
Let i(l) = 289*l - 3019. Suppose 0*r = -2*r, -4*r - 205 = -5*h. What is the remainder when i(11) is divided by h?
37
Let p = 43 + 5. Suppose -15121 + 3271 = -15*k. Let b = k - 648. What is the remainder when b is divided by p?
46
Let x = 155 - 149. Suppose 25 = w - 2*d + x*d, -3*d + 23 = w. What is the remainder when 24 is divided by w?
7
Let u(p) = -p**2 + 4*p + 3. Let x be u(4). Suppose 4*j - x*s - 48 = -0*j, s = 5*j - 49. Suppose 21 = -j*r + 66. Calculate the remainder when 8 is divided by r.