e remainder when 154 is divided by m?
1
Suppose -13*x + 12*x + 409 = 0. Calculate the remainder when x is divided by 133.
10
Let m be (4 - 21/6)*(1 + 123). Suppose -5*o + m - 2 = 0. What is the remainder when 104 is divided by o?
8
Suppose -42*c = 12*c - 4590. Calculate the remainder when c is divided by 46.
39
Suppose 3738 = 78*f - 4530. What is the remainder when 1034 is divided by f?
80
Let m(z) = 29*z**2 + 2*z - 1. Suppose 17576 - 6681 = 165*v - 11545. What is the remainder when v is divided by m(1)?
16
Suppose 6*r + 53*r + 864 = 5407. Calculate the remainder when 704 is divided by r.
11
Suppose 9 = 8*g - 31. Suppose g*v - v = 20. Suppose -m = -5*q + m + 83, -59 = -v*q - 4*m. What is the remainder when 70 is divided by q?
10
Suppose 137*f = 162*f - 21150. What is the remainder when f is divided by 77?
76
Let f = 9950 + -9153. Calculate the remainder when 1605 is divided by f.
11
Let q(v) = 170*v**3 + 10*v**2 - 47*v + 75. Calculate the remainder when q(3) is divided by 81.
78
Let p(c) = -562*c + 4546. Calculate the remainder when 208 is divided by p(8).
8
Let o(x) = -x**2 + 15*x + 12. Suppose 56 = 2*n - u - u, 0 = -u. Let y = n - 19. What is the remainder when o(y) is divided by 17?
15
Suppose 0 = -2*r - 2*m + 680, 1593*r - 1594*r - 3*m = -332. What is the remainder when r is divided by 137?
70
Calculate the remainder when (-219)/(((-12)/576)/(4/18)) is divided by 30.
26
Let u = -870 - -931. Let d(n) = -n**2 + n - 1. Let h(j) = j**2 - 5*j - 3. Let s(b) = -2*d(b) - h(b). What is the remainder when u is divided by s(-4)?
7
Let m = 22 + 34. Let t = -23 + m. Suppose 81 - t = 4*r. Calculate the remainder when 20 is divided by r.
8
Let r(n) = n**2 - 20*n + 13 + 2 + 2. Let a(o) = o**3 + 15*o**2 + 13*o + 8. Let j be a(-14). What is the remainder when r(j) is divided by 21?
19
Let n be (-552)/(-18) + -1 + 1/3. Let z be n/(-20)*10/3. What is the remainder when -15*6/(-9) - z is divided by 6?
3
Suppose -20 = -4*p + l - 6, -3*p - 2*l = -5. Suppose 0*h + p*h = 0. Suppose -n + 3 + 18 = h. Calculate the remainder when 41 is divided by n.
20
Suppose -3*s = 4*o - 62, -2*o - 2 = -6. Suppose -51 = -5*g + 254. What is the remainder when g is divided by s?
7
Let z = -1868 - -1930. What is the remainder when z is divided by 5?
2
Let l(r) be the second derivative of -10*r**2 - 4*r - 2/3*r**3 + 0. Calculate the remainder when 110 is divided by l(-9).
14
Suppose -40 = -2*w - 2*x, 0*w = -2*w + 4*x + 58. Let l(h) = h + 178. What is the remainder when l(-41) is divided by w?
22
Let i = -69 + 113. Suppose -160 = -6*s + i. What is the remainder when s is divided by 18/(-10)*200/(-30)?
10
Let m(b) = -b**3 + 12*b**2 + 2*b - 17. Let z be m(10). Let w = z + -198. Calculate the remainder when w is divided by 5.
0
Let f(k) = k**3 - 42*k**2 + 44*k - 89. Let p be 1/(1 - -1 - 1). What is the remainder when f(41) is divided by (p + 1)*(-21)/(-6)?
6
Let j = 4 + 64. Let h = j - 54. Suppose 4*q = -4*y + 400, -3*q - 2 = -3*y + 268. What is the remainder when y is divided by h?
11
Suppose -7*o = 3*o - 50. What is the remainder when 146 is divided by o?
1
Suppose -k + 6*k = 2*n + 12, 2*k - 3*n - 7 = 0. Suppose -356 = -5*m + t, 70 = -k*m + 3*m + t. Calculate the remainder when m is divided by 18.
17
Let j be (-3)/((-4)/(264/9)). Let f = -484 + 539. What is the remainder when 3400/f - (3 + (-70)/j) is divided by 9?
8
Let s be 1 - (-505)/5 - -2. Let g = 123 - s. Calculate the remainder when 130 is divided by g.
16
Suppose -8*u + 3*u - 8*j + 3974 = 0, 3*j + 3941 = 5*u. What is the remainder when u is divided by 44?
42
What is the remainder when ((-2499)/12)/7*(-88)/22 is divided by 104?
15
Let a(m) = -82*m + 1091. What is the remainder when 749 is divided by a(13)?
24
Suppose 0 = -11*x + 10*x + 371. Calculate the remainder when x is divided by 40.
11
Let t = 5563 + -5546. Let x = 10 - -13. Let u = x - 13. Calculate the remainder when t is divided by u.
7
Let y(d) be the second derivative of -d**5/20 + d**4/12 - d**3/6 + 16*d**2 + 50*d. Let b(k) = -21*k - 5. What is the remainder when b(-3) is divided by y(0)?
26
Let j(p) = -37*p - 1572. What is the remainder when 913 is divided by j(-43)?
1
Let q be 3*(0 + (0 - -2) - -5). Let j(m) = -2*m**2 + 47*m - 72. Calculate the remainder when j(q) is divided by 0 + 8 + 1 + -2.
5
Let z = 65 - -121. Suppose -5*a + 905 = 3*p, 3*p - 357 = -3*a + z. What is the remainder when a is divided by (3 - -1)*42/12?
13
Suppose -u = -0*u - 71. Suppose -18*l = 16*l - 1149 + 163. Calculate the remainder when u is divided by l.
13
Suppose t - 5*b - 40 = 2, -4*t + 120 = -4*b. What is the remainder when 17277 is divided by t?
24
Let a = 100 - 80. Suppose j - 14 = -j - 2*r, a = 2*j + 4*r. Suppose -j*c = -2*n - 3*n + 86, 4*n - 60 = c. Calculate the remainder when n is divided by 5.
4
Let d = -40 + 47. Suppose -d*w = -4*w - 72. Suppose -q + 9*k = 5*k + 10, -w = -2*q - 3*k. What is the remainder when 15 is divided by q?
3
Suppose 6*g - 22*g = -10208. Let j = 642 - g. Calculate the remainder when 58 is divided by j.
2
Let i(j) = j**3 - 5*j**2 + 12*j - 106. Let c be i(6). Suppose -4*b + 23 = 3*o, c*b + 22 = 2*o - 2*b. What is the remainder when o is divided by 5?
4
Calculate the remainder when (-190)/(-30)*21 + (1 - 9) is divided by 43.
39
Suppose 38 = k + 4*w, 0*w + w = -2*k + 90. What is the remainder when 70 is divided by k?
24
Let g(o) = o**3 + 10*o**2 - 11*o + 10. Let z be (-2 - 17/(-3))*-3. Let m(q) = q**2 - 36*q + 259. Calculate the remainder when m(9) is divided by g(z).
6
What is the remainder when 21290/24 + -3*17/612 is divided by 221?
3
Let m be (1 - 4)/((-132)/20 - -6). Suppose 0 = -5*o - 4*z + 24 + 77, -o - m*z = -16. Calculate the remainder when o is divided by 8.
5
Suppose 0*x + x - 85 = -3*s, -2*x + 169 = 5*s. Let r(h) = -h**3 - 19*h**2 - 20*h - 22. Calculate the remainder when x is divided by r(-18).
12
Suppose 0 = 3*o - j - 5739 - 141, -7840 = -4*o + 2*j. Calculate the remainder when o is divided by 13.
10
Suppose 11*w - 3*u = 15*w - 214, -14 = -7*u. Let g = 42 - 27. Suppose 0 = -5*k + g, 34 = 2*t - 2*k + 2. What is the remainder when w is divided by t?
14
Let a = -418 - -418. Suppose a = -5*g + 2*f + 533, 3*g + f - 208 = 114. What is the remainder when g is divided by 36?
35
Let c(d) = 3*d**2 - 77*d + 211. Calculate the remainder when 466 is divided by c(3).
4
Let k(o) = -2*o - 3. Let a be k(-11). Suppose -3*j - 161 = -4*r, r + 5*j - a = 27. Let y = r - 16. What is the remainder when y is divided by 9?
7
Suppose -3*v + 25 = 2*t, 4*v - 2 - 3 = 3*t. Suppose 40 = 5*p + 4*z, -t*z = -3*p + 1 + 23. What is the remainder when p is divided by 5?
3
Let r(m) = -m**3 - 113*m**2 - 326*m + 486. What is the remainder when 551 is divided by r(-110)?
45
Let o = -8 + 16. Suppose 3*g = g - o, 2*n - 64 = 3*g. Let u = 464644 + -464641. Calculate the remainder when n is divided by u.
2
Suppose -5*c + g + 4 = -10, -4*g = 16. Suppose c*y - y = 11. Let z = -3 + y. Calculate the remainder when 14 is divided by z.
6
Let j = 67 + -38. Suppose 42*k + 272*k - 23765 = 11403. What is the remainder when k is divided by j?
25
Let t(s) = s**3 - 61*s**2 + 15*s - 720. What is the remainder when t(61) is divided by 108?
87
Calculate the remainder when (232/24 + -10)*(-1100 + 2) is divided by 75.
66
Calculate the remainder when 1055 is divided by (-8*1*(-10)/(-30))/((-21)/189).
23
Calculate the remainder when 142622/551 + 9/57 is divided by 35.
14
Suppose -2*u - 40 = -232. Let b = u - -47. What is the remainder when b is divided by (170 - 119) + 0/(-1 + -1) + -3?
47
Suppose -4160 = -36*r + 4*r. Calculate the remainder when 11307 is divided by r.
127
Let g(a) = 5*a + 2. Suppose 0 = -p - 2*j + 83, -31 + 11 = 4*j. Calculate the remainder when p is divided by g(2).
9
Suppose 4*n - 674 = 3*v + 793, 1826 = 5*n + 4*v. Let l(w) = 17*w**2 - 3*w. Calculate the remainder when n is divided by l(2).
56
Let r(u) = 14*u**2 + 5*u - 32. Let o be r(-5). Let z = -23 - -186. Let d = o - z. Calculate the remainder when d is divided by 34.
28
Let f be 536/8 + 1/1. Let d = 136 - f. Suppose 5*m - 2*m - 42 = 0. What is the remainder when d is divided by m?
12
Let j(v) = -v**3 - v**2 - v - 2. Let n be j(-3). Let t be (7304/(-704))/((-2)/16). Let k = n + t. Calculate the remainder when k is divided by 21.
18
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