6 = -4*j + 2*i + 2*i, -133 = -j + 5*i. Suppose 5*y - 24 = 1365*c - 1367*c, 0 = 5*c + 3*y - 98. What is the remainder when j is divided by c?
21
Let t = -86 + 91. Suppose -517 = -t*o - 4*j, -4*o + 390 = 4*j - 22. Calculate the remainder when o is divided by 38.
29
Suppose 2*d - 297 = -5*h, 0 = 5*h - 0*h - 5. What is the remainder when d is divided by 6?
2
Suppose 6*w - 115*a + 114*a - 13119 = 0, -2*w + 4381 = -3*a. What is the remainder when w is divided by 46?
24
Let f be (-2)/5 - 2936/(-40). Let x = -67 + f. Calculate the remainder when 61 is divided by x.
1
Let q be (2/(-4))/((-5)/(-30)). Let b be -1 - (-3 - 5) - q/(-1). Suppose b*z - 450 = -z. What is the remainder when z is divided by 46?
44
Let t = 257 - 257. Suppose t*r - 1431 = -9*r. Calculate the remainder when r is divided by 57.
45
Suppose -3*x - s + 476 = 0, -2*s = 3*x - 10*x + 1102. What is the remainder when 546 is divided by x?
72
Let q(y) = -y + 55. Let w be q(33). Suppose -13 = j - w. What is the remainder when 746 is divided by j?
8
Let w = 1080 - 548. Calculate the remainder when (-152)/w + (2 - 172/(-14)) is divided by 4.
2
Suppose -3*p + 11 = 5*v, v = -p + 5*v - 19. Let y(n) = 2*n**2 + 2. Let w(t) = 116*t**2 + 2*t - 1. What is the remainder when w(1) is divided by y(p)?
17
Let t(i) = -39*i - 153. What is the remainder when 2/(-6)*2 - (-132)/9 is divided by t(-4)?
2
Suppose 3*u - 3*n = 102, -160 = -2*u - 3*u + 3*n. Calculate the remainder when u is divided by 29.
0
Let l be 10 + -2 + 0 + -3. Suppose l*m - 6 = -3*d, 2*m + 4*d + 6 + 0 = 0. What is the remainder when 1 + 4/(-3) + (-7025)/(-843) is divided by m?
2
Suppose 4*r - 868 = -4*f, 0 = -3*f + 2*r + 394 + 267. Suppose 4*z - 401 = f. What is the remainder when z is divided by (-1)/(1*(-2)/106)?
49
Let y be -5 - (-13)/((-13)/(-100)). Suppose 1265 = 6*s + y. Let k(i) = 3*i - 2. What is the remainder when s is divided by k(8)?
19
Suppose 90*z + 40 = 82*z. Suppose 6*s = 2*q + s - 15, 0 = -2*s - 10. What is the remainder when 4 + q/(z/4) is divided by 2?
0
Let x(l) = -6*l**2 + 4*l + 863. What is the remainder when x(0) is divided by 4?
3
Suppose -3*x + 21*x - 54 = 0. Suppose 0 = -3*i + 4*t + 1204, -x*t + 5*t = -i + 388. Calculate the remainder when i is divided by 21.
18
Let i = -29741 + 29941. Calculate the remainder when i is divided by 13.
5
Suppose -64*p = -16*p - 4128. Suppose 0 = -2*d - 5*l + 69, -5*d - 5*l = -d - 113. Calculate the remainder when p is divided by d.
20
Suppose -192*x + 182763 - 39456 = -69045. Calculate the remainder when x is divided by 160.
146
Suppose 0 = 4*f + 3*r - 84, 0 = 5*f + 5*r - 25 - 95. Suppose 0*q = -3*q + 60. What is the remainder when q is divided by f?
8
Suppose 3*a - 6 + 0 = 0, -20 = -2*v + 3*a. Let h(i) = -34*i**3 + 2*i**2 + 2*i + 1. Suppose 1 = 3*n - 4*n. Calculate the remainder when h(n) is divided by v.
9
Suppose -59*l - 3276 = -98*l. Calculate the remainder when 830 is divided by l.
74
Suppose -69 = -23*s + 128 + 125. Calculate the remainder when 68 is divided by s.
12
Let n be ((-1)/(-1))/(2/16). Suppose j + 3*j - n = 0. What is the remainder when j is divided by (1/2)/((-2)/(-4))?
0
Let o be 350/8 - 1/(-4). Let v(y) = 13*y**2 + 53*y + 101. What is the remainder when v(-3) is divided by (-3)/(-9) - o/(-3)?
14
Suppose -3696 = -535*d + 511*d. Suppose 4*q = 3*q + 40. What is the remainder when d is divided by q?
34
Let j be 3/(9/6 - 1). Let v(r) = 2*r**2 - 9*r + 4. What is the remainder when ((2 - -1) + (-1720)/645)*123 is divided by v(j)?
19
Suppose -323 = 61*n - 78*n. What is the remainder when 82 is divided by n?
6
Let y = 66 - 46. Suppose 0 = 2*u + 2*u - y. Suppose 3*x + 8 = 7*x, u*h - 102 = -x. Calculate the remainder when h is divided by 6.
2
Let i(s) = -s**3 + 20*s**2 - 52*s + 31. What is the remainder when 460 is divided by i(4)?
65
Suppose -5*q - 15 = -5*z, -3*z = -4*q - 2*z + 3. Suppose 2*k + 2*k + 52 = q*g, 2*g + 2*k - 28 = 0. Calculate the remainder when 232 is divided by g.
16
Suppose 269*z - 28779 = 542. What is the remainder when z is divided by 45?
19
Suppose -3*w = 2*l - 1111, l - 1855 = -5*w - 3*l. Let o(q) = -q**3 - 19*q**2 - 80*q + 34. What is the remainder when w is divided by o(-6)?
45
Let c be ((-3)/3)/(7/3423). Let w = c - -506. Calculate the remainder when 41 is divided by w.
7
Let p(t) = t**2 - 5*t - 10. Let q(i) = -2*i**3 + 25*i**2 + 8*i + 79. What is the remainder when p(8) is divided by q(13)?
0
Let k be ((-135)/40 - -3) + (-77)/8. What is the remainder when k*24/((-8)/4) is divided by 32?
24
Suppose -1430 = 5*x - 5*s, 5*s - 423 + 145 = x. Let b = -286 - x. Calculate the remainder when b is divided by 2.
0
Suppose 3*l = -5*q + 7 - 6, -3*q = l - 3. Suppose -8*t - 36 = -q*u - 6*t, 0 = 3*u + 2*t - 29. What is the remainder when 16 is divided by u?
3
Let c(m) = -m**3 - 83*m**2 + 250. What is the remainder when c(-83) is divided by 52?
42
Let u(v) = -v**3 + 19*v**2 + 128*v - 15. Let s be ((-2736)/570)/(1/(-5)). What is the remainder when u(s) is divided by 26?
21
Let v = -52 + 74. Suppose 2*f + 2*f = -4*h + 4, 3*h - 38 = 4*f. Let p(u) = u**3 - 6*u**2 + 9*u - 12. Calculate the remainder when p(h) is divided by v.
20
Let j(i) = 9*i**2 + i - 2. Let r be (-6)/(4 - 10) + 1. Suppose q - 3 + r = 0, -5*q = -4*m + 363. Calculate the remainder when m is divided by j(-2).
28
Suppose 2*p = 23 + 27. Suppose -69*o = -70*o + p. What is the remainder when 96 is divided by o?
21
Calculate the remainder when 36/(-192)*-4 - (-19426)/8 is divided by 152.
149
Let f(u) = 1 + 0 + 18*u - u**2 - 18*u. Let j be f(-1). What is the remainder when (16 + 4 + j)*2 is divided by 14?
12
Let b(f) = 264*f - 7531. What is the remainder when b(29) is divided by 134/3 - (-8)/(-12)?
37
Let l = 712 - 571. Calculate the remainder when 562 is divided by l.
139
Suppose 0 = 7*g - 1185 + 93. Calculate the remainder when 5927 is divided by g.
155
Let f(d) = -8*d + 1. Let r be f(-1). Suppose -r*o + 5*o + 84 = 0. Let p = -5765 + 5806. What is the remainder when p is divided by o?
20
Let r = -40 + 72. Let v = r + -26. Suppose -2*x - 568 = -v*x. Calculate the remainder when x is divided by 36.
34
Let n(u) = 3*u**2 - 18*u - 33. Calculate the remainder when 1647 is divided by n(8).
12
Suppose 0 = 12*n - 84618 + 83586. Let d = 8 + 10. Calculate the remainder when n is divided by (-268)/(-6) + 6/d.
41
Let v(p) = -p**3 + 28*p**2 - 114*p + 4. Suppose 2*i - i = -40. Let s = -29 - i. What is the remainder when v(23) is divided by s?
5
Suppose -15*t - 54 = -24*t. Let s(c) = c**3 + 6*c**2 + 2*c + 13. What is the remainder when s(-5) is divided by t?
4
Let b = -23155 + 23301. Calculate the remainder when b is divided by 24.
2
Suppose 0 = -m - 4*m. Suppose -3*w = w + 16, m = 5*b - w - 29. Suppose 15 = -b*i, -4*z - 3*i + 12 = i. Calculate the remainder when 8 is divided by z.
2
Let f(t) be the first derivative of 3*t**2/2 + 7*t - 3. Let o(h) = -26*h - 3. What is the remainder when o(-6) is divided by f(5)?
21
Let i = 2673 - 2604. Suppose 124 = 2*t - 3*t. Calculate the remainder when i is divided by 4/14 - t/7.
15
Let v be -6 + (-2)/(4 - 5) - -4. Suppose 4*b - 308 - 288 = v. What is the remainder when b is divided by 50?
49
Calculate the remainder when 302 is divided by 81/(-90)*-102 + 8/(-10) - -1.
26
Let b be (-9)/12*12/(-3). Suppose 2*w - b = -m, -m + 3 = w - 1. Calculate the remainder when (-2229)/(-21) - w/(-7) is divided by 22.
18
Let n = 43 + -8. Let p be (-230)/4*(0 + 56/n). Let q = p - -182. Calculate the remainder when q is divided by 13.
12
Suppose -6*h + 1232 = 10*h. Let q = -126 + h. Let v = q + 74. What is the remainder when 49 is divided by v?
24
Suppose 184*j - 1936 = 96*j. What is the remainder when 348 is divided by j?
18
Let w(y) = 2*y + 35. Let d = -367 - -437. Calculate the remainder when d is divided by w(-8).
13
Suppose 0 = 3*i - 0*i - 2*s - 10, -5*s = i - 9. Let c(f) = -3*f + 5. Let p be c(5). What is the remainder when (-146)/p - (-10)/25 is divided by i?
3
Let s be ((-3)/(30/65))/((-1)/(-2)). Let p = 91 + s. Calculate the remainder when p is divided by 6*1/(-2) + 43.
38
Suppose 10 = 3*l - j, j + 2 = l - 2. Let g(o) = 4*o**2 - 9*o + 2. What is the remainder when 86 is divided by g(l)?
9
Let d be 145*4*(-3)/(-30). Let m(t) = 7*t**3 + 4*t**2 + 2*t. Let c be m(-2). Let r = c + d. Calculate the rema