he remainder when 7 is divided by d?
1
Let b = 103 - 103. Suppose -2 = 4*g + 5*w, -11 - 3 = -2*g + 5*w. Suppose b = -g*i - 41 + 99. Calculate the remainder when i is divided by 13.
3
Suppose 133*f = 104*f + 19024. Calculate the remainder when f is divided by 14.
12
Suppose 0 = 13*n - 483 - 2013. Let o(v) = 4*v**2 - 2*v - 19. What is the remainder when n is divided by o(-4)?
33
Let o(s) = s**2 - s - 7. Let t = -38893 + 38896. Calculate the remainder when o(6) is divided by t.
2
Suppose -4*m = -2*m - 200. Let o(a) = 162*a - 1407. What is the remainder when m is divided by o(9)?
49
Let k = 22 + -17. Suppose -k*f + 12 = -48. Let w(u) = 2*u**2 - 26*u + 29. Calculate the remainder when 16 is divided by w(f).
1
Suppose 2*c - 80 = 5*j + 55, -2*j - 2*c = 40. Let w = -1 - j. Suppose -4*m = -h + 35 - 398, 0 = 5*h - 25. What is the remainder when m is divided by w?
20
Let q = 29 - 25. Suppose v + 5*y = 32, -y + 92 = q*v + y. Suppose 0 = 560*f - 559*f - 14. What is the remainder when v is divided by f?
8
Suppose 4*q = 3*h + 111, 5*q - 3*h = 2*h + 145. Suppose -2287 = -143*i - 2001. Calculate the remainder when q is divided by i.
0
Suppose y = 2*q + 3*q + 7, 0 = 5*y + q + 17. Let m(k) = 6*k**2 - 2*k - 7. Let h be m(y). Suppose 11 + h = v. What is the remainder when v is divided by 18?
10
Let z(i) = 2*i**3 - 7*i**2 + 14*i - 41. Let t be z(6). Suppose 23*a - 53 = t. What is the remainder when 803 is divided by a?
11
Let g(i) = -1211*i**2 - 14534*i - 3. Let n(j) = -40*j + 2. Suppose -h + 0 - 2 = 0. What is the remainder when n(h) is divided by g(-12)?
19
Let i be ((-216)/120)/((-312)/(-105) + -3). Let g = -53 + i. What is the remainder when 25 is divided by g?
5
Suppose 17*h - 8*h - 2808 = -4*h. Calculate the remainder when h is divided by 55.
51
Let j(z) = -z**2 + 33*z + 897. Suppose 2*p + 107 = 4*o - 19, 0 = o - 4*p - 42. Calculate the remainder when j(-17) is divided by o.
17
Let j(k) = k**3 + 2*k**2 - 3*k + 13. What is the remainder when 1883 is divided by j(-3)?
11
Let x = -101 + 189. Let q = -58 + x. Suppose -4*n + 51 - 330 = -3*o, n + 448 = 5*o. What is the remainder when o is divided by q?
29
Let x(y) = -165*y - 2472. What is the remainder when 487 is divided by x(-15)?
1
Suppose -5*j + 6*j + 2*z = 161, 2*j = 4*z + 346. Let r = j + -156. What is the remainder when 41 is divided by r?
8
Suppose -27 = -4*x + 5. Suppose 135 = x*r - 5*r. Suppose -4*q = q - r. What is the remainder when 26 is divided by q?
8
Let r(g) = -45*g + 255. Calculate the remainder when 213 is divided by r(5).
3
Let w = 208 + -36. Suppose -w = -38*z + 360. What is the remainder when 74 is divided by z?
4
Suppose 54*c + 14382 = -87*c. Suppose 125 = v - 3*o, 3*v - 3*o = 2*o + 355. Let h = c + v. What is the remainder when 23 is divided by h?
7
Let y = 11827 - 11864. Let o = 106 + -180. Let k = y - o. Calculate the remainder when 109 is divided by k.
35
Suppose -2*q + 11 = 5*w - 5, 5*w = 4*q + 28. What is the remainder when (2 + 7/(-7))*9 is divided by w?
1
Calculate the remainder when 458577/126 - 12/8 is divided by 52.
50
Let h(v) = -v**3 + 5*v**2 + 2*v - 6. Calculate the remainder when 450/(-16)*(-10104)/2105 is divided by h(4).
9
Let s be (-38 - -37) + (-603 - -1). Let j = s + 752. Calculate the remainder when j is divided by 22.
17
Let q(v) be the second derivative of v**3/3 + 77*v**2/2 - 33*v. What is the remainder when q(-31) is divided by 3?
0
Let t = -157 - -245. Let w = t - -116. Calculate the remainder when w/10 - (-4)/(-10) is divided by 2.
0
Let d = 30130 - 30107. Calculate the remainder when 172 is divided by d.
11
Let r be (2 + -2)*(-3)/(-6). Suppose r = 619*l - 625*l + 108. Calculate the remainder when 195 is divided by l.
15
Let p(i) = i**3 + 3*i**2 - 6*i - 5. Let w(m) = m**2 - 8*m + 3. Let n be w(7). What is the remainder when 148/16 - (1 - (-12)/(-16)) is divided by p(n)?
0
Suppose -93*l - 444 = -99*l. What is the remainder when l is divided by 18/5*5/2?
2
Suppose 4*v - d = -335, 5*d = -4*v + d - 360. Suppose -133 = -f - 5*r, 4*f + 4*r - 500 = -0*f. Let q = v + f. What is the remainder when q is divided by 20?
18
Let j = 51 + -39. Let b be (105/j)/((12/32)/3). Suppose 4*k = r + 65, -2*r = 4*k - 4*r - b. What is the remainder when 57 is divided by k?
12
What is the remainder when 4577 is divided by (27/21)/(12/392)?
41
Suppose -195 = -48*l + 669. Calculate the remainder when 22677 is divided by l.
15
Let b = 2299 - 2296. What is the remainder when 123 is divided by b?
0
Suppose 62*j - 1682 = 1666. What is the remainder when 1733 is divided by j?
5
Let b be 86 - 49/14*-2. Let h = 109 - b. Calculate the remainder when 79 is divided by h.
15
Let g(t) = 143*t - 14*t**2 + 15*t**2 - 53 - 138*t. What is the remainder when g(-17) is divided by 29?
6
Let b = -73 + 141. Let z = 70 - b. Suppose -9 = -z*a + 35. Calculate the remainder when 87 is divided by a.
21
Let v be (-3)/(-2)*(-2 - 0). Suppose -237*r + 238*r - 62 = -c, -296 = -5*c - 4*r. Calculate the remainder when c is divided by 56/3 + 2/v.
12
Suppose 102 = 2*o - 3*c, o + 3*c = -3*o + 168. Suppose -4*i - 10*k + 806 = 0, -k = -8264*i + 8260*i + 663. Calculate the remainder when i is divided by o.
34
Suppose 0 = -135*h + 93*h + 714. What is the remainder when 63 is divided by h?
12
Let g = 410 + -408. Suppose -m = -13*m - 948. Let h = -72 - m. Calculate the remainder when h is divided by g.
1
Suppose 39 + 73 = 14*t. Suppose 12 = t*y - 11*y, -2*q + 2*y + 94 = 0. What is the remainder when q is divided by 4?
3
Suppose -2*m + 5*t = -8301, -4*m + 13917 + 2625 = 2*t. Calculate the remainder when m is divided by 23.
21
Let r = -408 + 403. Suppose -7*j + 3*j = -184. Calculate the remainder when ((-17)/r - 3) + 683/5 is divided by j.
45
Let n(p) be the third derivative of -p**6/120 + p**4/24 - 3*p**3/2 - 2*p**2 + 23. Calculate the remainder when 302 is divided by n(-4).
47
Let a(i) = i**2 - 38*i + 736. Calculate the remainder when a(35) is divided by 78.
7
Suppose -5*x - s = -2*x - 12, 0 = 3*x + 2*s - 12. Suppose -5*n = 2*a - x*a - 29, 3*n - 5 = -5*a. Calculate the remainder when 14 is divided by n.
4
Let n(w) = 3*w**2 + 12*w + 10. Suppose 143 = 14*d - 179 + 28. Calculate the remainder when n(-9) is divided by d.
19
Suppose -5*t + 135 = -2*t - 4*y, -97 = -2*t + 5*y. Let k = t + -37. Suppose -k*q + 154 = 3*q. Calculate the remainder when 84 is divided by q.
18
Suppose 5*a = -3*a - 152. Let h = 26 - 91. Let q = a - h. What is the remainder when q is divided by 26?
20
Suppose 3*n - 12 = -u, 5*n - u = -1 + 13. Suppose -3*d = x + 14, 0 = -2*d - 7 - n. Let w = 223 + -219. What is the remainder when w is divided by x?
0
Suppose 126 = 2*b - 252. What is the remainder when 44*(b/(-36) + 6) is divided by 17?
16
Suppose -5*f = 2*w - 217, 3*f - 84 = 2*w + 59. Suppose 3*t - 4*a = 553, 0*t = -2*t - 3*a + 346. What is the remainder when t is divided by f?
44
Suppose 4*w + w - 14 = q, 3*q = -4*w + 15. Suppose -h - h = w*z - 117, 5*h - 250 = z. What is the remainder when (-1416)/(-7) - 4/14 is divided by h?
49
Suppose -3*u + 3*s + 2489 = -5698, 0 = 4*u - s - 10907. What is the remainder when u is divided by 101?
100
Calculate the remainder when 1248 is divided by (-2)/7 + 3/(-13) + (-314128)/(-5278).
9
Let i(j) = -67*j**3 - 11*j**2 + j - 2. Let x(o) = 134*o**3 + 18*o**2 - o + 4. Let q(d) = -5*i(d) - 3*x(d). Calculate the remainder when 133 is divided by q(-1).
65
Suppose 4*k - 6 - 10 = 5*i, -k + 4 = -3*i. What is the remainder when 43 is divided by 186/12 - (2 - 10/k)?
11
Let o be (-35 - -23)*(-2)/3. Suppose 0 = -6*s + o*s - 30. Calculate the remainder when 49 is divided by s.
4
Let y(m) = -m**2 + m. Let k(u) = 5*u**2 - 44*u + 16. Let n(s) = -k(s) - 2*y(s). Calculate the remainder when 131 is divided by n(13).
16
Let l(y) = -112*y**3 - 5*y**2 + 31*y + 54. What is the remainder when l(-2) is divided by 58?
56
Let s(y) = -1931*y**3 - y**2 - 2*y - 1. What is the remainder when s(-1) is divided by 42?
41
Let f(a) = -9*a + 9. Let i(g) = -4*g + 4. Let x(n) = -6*f(n) + 13*i(n). Let m be x(8). Suppose m = -0*w + 7*w. What is the remainder when 10 is divided by w?
0
Suppose t = 5*l - 160 + 676, 967 = 2*t + 3*l. Let p = t + -466. Calculate the remainder when 34 is divided by p.
9
Suppose 805*x + 84645 = 976*x. Calculate the remainder when x is divided by