s divided by 86.
15
Let y = -204 + 347. Let i = y - 99. Suppose 86*m - 1179 = 77*m. What is the remainder when m is divided by i?
43
Let l = -14292 + 14632. Calculate the remainder when l is divided by 29.
21
Let f = -23670 - -23799. What is the remainder when 14575 is divided by f?
127
Let t(n) be the first derivative of n**4/4 - 11*n**3/3 + 13*n**2 - 46*n + 114. Let g(d) = -179*d + 1. What is the remainder when g(-1) is divided by t(9)?
24
Suppose 12*i = 21*i + 12*i - 1974. Calculate the remainder when 626 is divided by i.
62
Suppose -5*w - 115 = -5*x, 10*x - 106 = 5*x + 2*w. Suppose -164*u = -172*u + 976. Calculate the remainder when u is divided by x.
2
Suppose 12*a - 459 = -5*a. Suppose -u + 3*q + 41 = 0, 0 = -u - 2*q + 14 + a. What is the remainder when u is divided by 22?
19
Let p = 467 - 465. Suppose p*o - 96 = -2*t, 11*o = 12*o + 2*t - 44. Calculate the remainder when o is divided by 21.
10
Let d(j) = -j**3 - 13*j**2 - 11*j + 18. Let t be d(-12). Suppose 282 = -t*f + 996. What is the remainder when f is divided by 30?
29
Let w(c) = 8*c + 7. Calculate the remainder when (-184)/14*(41 + -23 - 25) is divided by w(5).
45
Suppose -2*t - 118 = -3*l - l, -l - 2*t = -42. Calculate the remainder when ((-3)/((-108)/(-873)))/(1/(-4)) is divided by l.
1
Calculate the remainder when 83 is divided by 13*21/91 + 4.
6
Let r(d) = 3*d**3 + d + 2. Let f = -3660 - -3743. Calculate the remainder when f is divided by r(2).
27
Suppose -2952*f = -3060*f + 648540. Calculate the remainder when f is divided by 42.
41
Suppose 109 = -7*h - 164. Let l = h - -30. Let f(x) = x**3 + 9*x**2 + x + 19. What is the remainder when 59 is divided by f(l)?
9
Suppose 0 = -2*o - 4*p - 140 + 290, -o + 4*p + 111 = 0. Calculate the remainder when 337 is divided by o.
76
Let q be (-52)/(-16) + -3 - (-1)/(-4). Let j be 1 + 3 - (4 + q). Suppose 4*l - 12 + 4 = j. What is the remainder when 11 is divided by l?
1
Let k(x) = -99*x - 285. What is the remainder when 165 is divided by k(-3)?
9
Let p = -2649 - -2907. What is the remainder when p is divided by 72?
42
Let d be (-360)/(-48)*4/6. Suppose -t + 48 = d*v, v + 2*v = -5*t + 350. What is the remainder when t is divided by 39 - (1 - -5)/3?
36
Let d(l) = -l**3 + 11*l**2 + 26*l - 17. Let b be d(15). Let q = b - -600. Calculate the remainder when 435 is divided by q.
70
Let q(n) = n**2 - 33*n - 109. Let u be q(30). Let t = -167 - u. Calculate the remainder when 253 is divided by t.
29
Suppose 3*f + 4*c = -0*c - 205, -3*f - 5*c - 209 = 0. Let k = f - -53. Let g(a) = -a**2 - 11*a + 9. What is the remainder when g(k) is divided by 11?
8
What is the remainder when ((-3213)/18 - (-4)/2)*-2 is divided by 13?
2
Let m(z) = -3*z**2 + 12*z + 6. Let a be ((-48)/36 - 4/6)*-2. Suppose -5*o - 3*p = -248, -5*o - p + 194 = -62. What is the remainder when o is divided by m(a)?
4
Suppose -6*m = -5*m - 75. What is the remainder when (302 - 3)/(-21*(-7)/294) is divided by m?
73
Let g = 705 - 699. Calculate the remainder when 1846 is divided by g.
4
Let s be 4 - (-3 + 4 - 14). Let a be (-19 + s)/(-1*2). Suppose 5*k - 51 = 5*x + 79, k - a = -4*x. What is the remainder when 39 is divided by k?
18
Let j(f) = 360*f - 563. Calculate the remainder when j(15) is divided by 118.
117
Let h = 13 - -23. Suppose k - 51 = -h. Suppose o - 44 = k. Calculate the remainder when o is divided by 15.
14
Let v = 35 - 30. Suppose 37 = v*r - 18. What is the remainder when 107 is divided by r?
8
Suppose -10*j + 53 = -9*j. Suppose 3*x + 4*n - 488 = 0, 98 - 264 = -x - 2*n. What is the remainder when x is divided by j?
50
Suppose 114*w - 954 - 4646 = 44*w. Calculate the remainder when 433 is divided by w.
33
Let g = 241 - 123. Let d = -1303 + 1328. Calculate the remainder when g is divided by d.
18
Suppose -10*q = 85 - 655. Suppose 2*z - 3 = -1. Let u(r) = 28*r**2 + r. What is the remainder when q is divided by u(z)?
28
Let c(j) = 27*j - 86*j - 60 + 52. Calculate the remainder when 151 is divided by c(-1).
49
Let i(u) = -328*u - 3480. Calculate the remainder when 4601 is divided by i(-11).
121
Let p(j) = -2*j**2 - 18*j + 81. What is the remainder when 473 is divided by p(-10)?
46
Suppose -16*y - b + 670 = -11*y, 3*y - 385 = -4*b. Let d(h) = -16*h - 87. Calculate the remainder when y is divided by d(-9).
21
Let t = -115 - -162. Let z = -33 + t. What is the remainder when z is divided by 2*(-1)/(-4)*10?
4
Suppose -432 = 4*f - 408, 5*c - 199 = 4*f. Suppose -r + 1240 = 4*l - 3*r, -3*r - 612 = -2*l. Calculate the remainder when l is divided by c.
32
Suppose -192 + 43 = -8*q + 227. Calculate the remainder when q is divided by 13.
8
Let y = -32042 - -32070. What is the remainder when 167 is divided by y?
27
Let a(s) = s**2 + 12*s - 43. Let j be a(-15). Suppose -4*i = -c + 2*c + 110, -2*i - 50 = -j*c. Let r = i + 36. Calculate the remainder when 32 is divided by r.
5
Let i = 42273 - 42258. Let s = 118 - 34. Suppose u = 4*u - s. What is the remainder when u is divided by i?
13
Let k = 265 + -175. Suppose 0 = 3*g + 2*v - k, -4*g = 4*v - 17 - 99. Let w(d) = -d**2 - 9*d + 9. What is the remainder when g is divided by w(-8)?
15
Let h = -7521 + 7567. Calculate the remainder when 9061 is divided by h.
45
Let t be -2 - 0 - 10/15*-156. Suppose -5*l - t = -0*h - 2*h, 3*h = -2*l + 172. What is the remainder when h is divided by 32?
24
Suppose 0 = -2*c - 4*i - 40 + 314, 5*i = 2*c - 301. What is the remainder when c is divided by (-4 + 6 + -4)*-8?
15
Let f(m) = m**3 + 56*m**2 + 110*m + 125. Calculate the remainder when 931 is divided by f(-54).
13
Suppose 218 = h - 5*g, 4*g = -3*h + 8*g + 599. Calculate the remainder when 971 is divided by h.
6
Suppose 2*f - 590 = g, -2*f + g + 2*g = -582. What is the remainder when f is divided by 11?
0
Suppose 6*b - 4*c + 319 = 9*b, 4*c = 5*b - 489. Calculate the remainder when b is divided by 46.
9
Let d(h) = 3*h**2 - 159*h + 785. Calculate the remainder when 3506 is divided by d(5).
61
Let c = -167 + 103. Let s = c - -74. Calculate the remainder when 15 is divided by s.
5
Calculate the remainder when (43412/35 - (-1)/(-5)) + (-3306)/(-3857) is divided by 317.
290
What is the remainder when 313 is divided by (-20)/(-70) + (-20)/(-77) - (-654)/11?
13
Let i = 356 - 633. Let a = 290 + i. Calculate the remainder when 22 is divided by a.
9
Let w = 79 - -49. Suppose -5*x - 4*r = -w, -2*x - x = -2*r - 68. Let a = 182 - 112. What is the remainder when a is divided by x?
22
Let f be -36*((-27)/36)/(18/(-40)). Let k(w) = -w**3 - 3*w + 1. Calculate the remainder when 286/4 + 30/f is divided by k(-3).
34
Suppose -20*i - 3 + 43 = 0. Suppose i*m = 3*m - 5*k - 40, 5*m = 5*k + 120. What is the remainder when 89 is divided by m?
9
Let z = -27 - -27. Suppose -519 = -2*f + f + 2*o, 2*f - o - 1035 = z. Suppose -5*d + f - 97 = 0. What is the remainder when d is divided by 22?
18
Let r(z) = 35*z**2 - 178*z - 1. Let q(d) = 33*d**2 - 178*d. Let j(h) = 4*q(h) - 5*r(h). Calculate the remainder when j(4) is divided by 4.
1
Suppose -425*c + 15*c = 3*c - 1294342. What is the remainder when c is divided by 56?
54
Let s = 21764 - 21728. What is the remainder when 1399 is divided by s?
31
Let s = 649 - 379. Suppose 6*h - s - 132 = 0. Calculate the remainder when 195 is divided by h.
61
Suppose -4233 = -62*g + 231. Calculate the remainder when 402 is divided by g.
42
Suppose -5*y + 312 = 2*q, 4*y - 130 - 122 = -4*q. What is the remainder when 552 is divided by y?
56
Let b = 4467 - 3855. Calculate the remainder when b is divided by 196.
24
Let u = -44 - -28. Let m(z) = -26*z - 114. What is the remainder when m(-11) is divided by -11*3*u/12?
40
Let u be -1*(3/4 + (-28305)/60). Let z = 676 - u. Calculate the remainder when z is divided by 8.
5
Let p(a) be the third derivative of -a**4/24 - 5*a**3/2 + 2*a**2. Let m be p(-6). Calculate the remainder when 15 is divided by m/(-1) - (12 + -11).
7
Suppose 4*r - 12096 = v, 7*r + 3*v = 6*r + 3024. Suppose -103*p + 119*p - r = 0. What is the remainder when p is divided by 32?
29
Let r = -23 - -21. Let m be (-10023)/(-91) - r/(-14). Let c = m + -63. What is the remainder when c is divided by 17?
13
Suppose 5 + 7 = 6*h. Suppose -h*q = -7*q, 4*q + 130 = 5*s. What is the remainder when 49 is divided by s?
23
Let k(s) = 25*s**3 + 48*s**2 - 3*s + 9. What is the re