is divided by 30.
29
Let v be (-147)/(-21)*3/7. Suppose v*t - t = 6. Suppose -3*c + c = t*b - 293, 5*c = -b + 713. Calculate the remainder when c is divided by 24.
22
Suppose 0 = -p - 2*v + 3*v + 22, 3*v - 19 = -2*p. Let r = -226441 - -226485. Calculate the remainder when r is divided by p.
10
Let q(a) = a**3 + a + 8. Let g be (-22)/(-44)*(-1 - -1). What is the remainder when 22 is divided by q(g)?
6
Suppose 3 = -2*h + 3*h - 2*f, 3*h + 2*f = 41. Suppose t = -4*o + 46, -t + 2*o + h = -11. Calculate the remainder when 72 is divided by t.
12
Suppose -3*t - 4*w + 408 = 0, -2*w - 146 = 81*t - 82*t. Let v = -109 - -181. Suppose 2*z + 0*z = v. What is the remainder when t is divided by z?
32
Suppose 4*l - 20 - 44 = -m, 5*l - 80 = -5*m. Suppose 63*c + 1572 = 5352. What is the remainder when c is divided by l?
12
Let t be (-2 - -1)*2 + 77 + 3. Suppose 2*n + 28 = t. Calculate the remainder when 42 is divided by n.
17
Suppose -5*c + 3450 = 5*s, 21*c - 17*c - 4*s - 2792 = 0. What is the remainder when c is divided by 64?
54
Suppose r - 2*k - 84 = 0, -4*r + 5*k = -6*r + 150. What is the remainder when 253 is divided by r?
13
Suppose -2*a - 3*a + 1150 = 0. Let l be (6/(-7))/(156/(-546)). Suppose 3*i + 184 = 4*p, l*i = -5*p + 7*i + a. Calculate the remainder when p is divided by 10.
6
Let t = -33 + 55. Suppose 4*x - 20 = -8*h + 3*h, x - 3*h - t = 0. Let r = 5 + x. What is the remainder when 27 is divided by r?
12
Let y = 50827 - 50820. Suppose 0 = 4*d - d - 51. What is the remainder when d is divided by y?
3
Let l(p) be the second derivative of 3*p**5/20 + 2*p**4 - p**3/2 - 6*p**2 - 3*p + 19. Calculate the remainder when l(-8) is divided by (-8)/(3/(-3 - 0)).
4
Suppose 0 = 3*o + 3*s - 27, o - 4*s + 9 = s. Let v(r) = 3*r. Let b be v(4). What is the remainder when o is divided by 11/66 + 22/b?
0
Suppose 12*w = -2*w - 518. Let p = 46 + w. Let v(l) = -l**3 + 9*l**2 + 3*l - 5. What is the remainder when v(p) is divided by 6?
4
Suppose 2*h + 188 = 5*o - 1373, -4*h = 4*o - 1232. Suppose 5*n - o = 384. Calculate the remainder when n is divided by -14*(1/(-4) - (-195)/(-260)).
13
Let i = -10438 + 10514. Let g(s) = 2*s**2 - 6*s + 8. What is the remainder when i is divided by g(4)?
12
Suppose -a + 104 = 4*z, -5*z - 114 - 120 = -2*a. What is the remainder when 894 is divided by a?
110
Suppose 2*s = 5*s + 2*m - 152, 0 = s - 4*m - 74. Let v = 39 - s. What is the remainder when 3/((v/(-10))/((-11)/(-2))) is divided by 7?
4
Let g(w) = 2*w**2 - 416*w + 7985. Calculate the remainder when g(20) is divided by 39.
36
Calculate the remainder when 1/3*-2*(-9150)/20 is divided by (-34)/((-4)/(-3) - 2).
50
Suppose 293 = 6*k - 217. Suppose -89*a + 128 = -k*a. What is the remainder when 92 is divided by a?
28
Let v = -1542 - -2314. What is the remainder when v is divided by 111?
106
Suppose -4*i + 2*y = -106, 14 + 2 = i - 4*y. What is the remainder when 483 is divided by i?
7
Let l(n) = n**2 - 4*n + 6. Let t(s) = s**3 - 11*s**2 + s - 5. Let u be t(11). Let c(f) = 25*f - 65. What is the remainder when c(u) is divided by l(5)?
8
Let o = 7867 - 7860. What is the remainder when 247 is divided by o?
2
Suppose 4633 = -26*k + 24523. Calculate the remainder when k is divided by 334.
97
Suppose -6*n + 6 = -3*n. Suppose 2*t = -2*p + 36, -5*p - n*t + 87 = -0*t. Calculate the remainder when 82 is divided by p.
14
Let n(m) = -141*m + 10741. What is the remainder when n(69) is divided by 93?
82
Let t(u) = 18*u**2 - u + 84. Suppose 3*f + 500 = 2*y, -y - 166 = 3*f + 331. What is the remainder when t(0) is divided by (-4)/(-10) - f/10?
16
Suppose -210*k = -235*k + 5475. Let f(q) = 45*q. What is the remainder when k is divided by f(1)?
39
Suppose h + a - 16 = 0, -h + 4*a = -30 + 44. Calculate the remainder when 55 is divided by h.
5
Let h = -523 + 528. Suppose 2801 = h*b + 231. What is the remainder when b is divided by 11?
8
Let j(s) = s**3 + 11*s**2 + 2*s + 248. What is the remainder when j(-10) is divided by 160?
8
Suppose -5*n + 5*z + 1927 = -318, 3*n + 5*z - 1331 = 0. What is the remainder when n is divided by 18?
15
Let b be (-700)/(-3) + 2/(-6). Let u be b/6 - 19/(-114). Let o = u + -34. Calculate the remainder when 12 is divided by o.
2
Suppose -16 + 4 = -x - 3*k, -k = 2*x - 29. Suppose -5*i + 0*p + 2*p = 77, 5 = 5*p. What is the remainder when (-1)/(i/(-132))*-10 is divided by x?
13
Let v(k) = -4119*k**3 - k**2 - 10*k - 7. Calculate the remainder when v(-1) is divided by 125.
121
Let t = 193 - 181. Suppose -78 = -13*p - 26. Calculate the remainder when t is divided by p.
0
Let a = 139 - 137. Suppose 0 = 4*o - a*o + y - 110, 4*o - 192 = 5*y. Calculate the remainder when 264 is divided by o.
52
Let y(o) = -o**3 + 60*o**2 - 320*o - 129. Calculate the remainder when y(54) is divided by 9.
6
Let w = -1437 + 1489. Calculate the remainder when (3*-3)/(9/(-570)) is divided by w.
50
Let q = 1952 - 1841. Calculate the remainder when q is divided by 12.
3
Let m(r) = -r**2 - 8*r + 5. Let f be m(-4). What is the remainder when 71 - (f/(-28) - 57/(-12)) is divided by 18?
13
Let f(j) = 211*j + 229. What is the remainder when f(4) is divided by 17?
2
Calculate the remainder when (3/(21/290))/((-1899)/(-63) - 30) is divided by 27.
20
Let k = 2 - -9. Let m(z) = 5*z + 111. Let j be m(-9). Let a = 73 - j. Calculate the remainder when k is divided by a.
4
Let s = 8 + -9. Let i = 8083 - 8068. What is the remainder when 94/2 + (s - 2) is divided by i?
14
Let y(k) = -3*k**2 + 23*k - 27. What is the remainder when 440 is divided by y(6)?
2
Suppose -4*k - 10*k = 798. Calculate the remainder when -3 + 1 - -5 - k is divided by 17.
9
Let l = -65 + 63. Let y be 2 - 3/l*-6. What is the remainder when 3*15 - (-8)/(-3 - y) is divided by 12?
11
Let n be ((-12)/(-2))/((-25)/25). Let f be 1*2 + (-7 - -13) + n. What is the remainder when 33 is divided by (2/12*3)/(f/72)?
15
Let k(f) = -5*f**2 + 204*f + 61. Calculate the remainder when 191 is divided by k(41).
11
Let f(l) = 11*l + 26. Let g be f(-6). Calculate the remainder when (g - -41)/(2/1078) is divided by 60.
59
Let d(u) = u**3 - 6*u**2 + 2*u + 4. Suppose -175*i - 72 = -166*i. Let s(r) = 15*r + 245. Calculate the remainder when s(i) is divided by d(6).
13
Let q = 39 + -37. Let g be q/8 - (-23)/4. Let s = g + 35. What is the remainder when s is divided by 15?
11
Let x = -442 - -504. Suppose 43*j - 560 = 23*j. What is the remainder when x is divided by j?
6
Let u = 22 - -1. Suppose 2*s - 57 = -5*v, 0 = -5*v - 3*s - 803 + 866. Calculate the remainder when u is divided by v.
5
Suppose 0 = 8*q + 5 - 77. Suppose 3*c + 4*b - b = q, -b = -2*c + 9. What is the remainder when 11 is divided by c?
3
Let l = 18415 + -17733. What is the remainder when l is divided by 50?
32
Let i = 19 + -19. Let s be (i + 2)/(8/(-20)). Let v(z) = z**2 + z - 15. What is the remainder when 29 is divided by v(s)?
4
Suppose -5*n = -2*f - 17, -5*f = -6*n - 21 + 57. Suppose 3 = -2*k - 1. Calculate the remainder when n is divided by (k + 3)*(1 - 0).
0
Suppose -4*d = 21*l - 19*l - 104, 2*d = -2*l + 94. Calculate the remainder when l is divided by 11.
9
Let d = -38 + 91. Suppose -14 = -55*r + d*r. Let o = 59 - r. What is the remainder when o is divided by 15?
7
Suppose -21 = 2*c + 1. What is the remainder when (92/276)/((-1)/(-153)) is divided by 0/(-5) + (2 - c)?
12
Suppose 0 = 10*l - 85 - 255. Suppose -1 - l = -7*u. What is the remainder when 94 is divided by u?
4
Suppose 39*s + 50*s = 114*s - 18500. Calculate the remainder when s is divided by 96.
68
Let q(v) = 17*v**2 + 66*v + 11. Calculate the remainder when 134 is divided by q(-4).
1
Suppose i - 3*i + 5*q = 9, -6 = 2*q. Let n = 70 + -38. Let x = i + n. Calculate the remainder when 58 is divided by x.
18
Let r be (22/(-66))/((-2)/114). Suppose -17*c + r*c = 26. What is the remainder when c is divided by 7?
6
Let t(w) = -w**3 + 56*w**2 - 557*w + 76. What is the remainder when 1039 is divided by t(43)?
67
Suppose 4*o + 12 = -0, b - 24 = -4*o. Suppose -52 = -6*h + 38. Let f = h - 5. Calculate the remainder when b is divided by f.
6
Let i(c) = -c**3 + 11*c**2 - 3*c - 97. Calculate the remainder when 565 is divided by i(8).
68
Suppose 3*b - 47 = s + 77, s = -5*b + 212. What is the remainder when ((-2365)/(-86))/(2/(-16)*(-12)/9) is divided by b?
39
Let w = -4