**2 - 19*r - 5. Let b be o(13). Suppose 2*v + 34 = 2*h, h - 3*v = -b*h + 79. Calculate the remainder when 52 is divided by h.
10
Suppose 0 = -156*s + 176*s - 100. Let b = 86 + 52. Calculate the remainder when b is divided by s.
3
Suppose -3*n = -5*j + 135, 2*n + 5*j = -90 - 25. Let d = 75 + n. Let f = -18 + d. What is the remainder when 27 is divided by f?
6
Calculate the remainder when (707/(-202))/(14/(-268)) is divided by 29.
9
Suppose -314*s = -316*s + 3*g + 2296, -1142 = -s + 3*g. What is the remainder when s is divided by 11?
10
Suppose 80 = -30*p + 32*p. Suppose 0 = 4*i - 108 + p. What is the remainder when i is divided by (1/(-3))/((-4)/36)?
2
Suppose 18*d = -10 + 712. Suppose -d*y + 16*y = -299. What is the remainder when 155 is divided by y?
12
Suppose 0 = -3*t + 10*j - 11*j + 719, 0 = 2*t + 3*j - 498. What is the remainder when t is divided by 148?
89
Let q be 157/8 - -3 - (-6)/16. Suppose -z + 456 = q*z. What is the remainder when 35 is divided by z?
16
Suppose 165 = 4*h + 2*x + 65, -2*h = -5*x - 38. Suppose -2*d = -40 - h. What is the remainder when d is divided by 8?
0
Let i be 4/((-2)/(-4)*4). Calculate the remainder when i/((-1)/(-2 - 2)) is divided by (-7020)/(-49140) + (87/28 - (-2)/(-8)).
2
Let m be (1 - 4) + -11 + -1. Let a = m - -15. Suppose a = 4*d - 56 - 20. Calculate the remainder when d is divided by 11.
8
Let j(v) = v**3 - 6*v**2 + v - 5. Let g be j(8). Let l = g - 76. Suppose -8*d - 308 = -30*d. Calculate the remainder when l is divided by d.
13
Let t(s) = -s**3 - 4*s**2 + 7*s - 8. Suppose 0 = 4*y + 12 + 12. Let g = -3341 - -3423. Calculate the remainder when g is divided by t(y).
16
Let r(p) = -30*p - 75. Let y be r(-18). Suppose -135 = 6*l - y. Calculate the remainder when l is divided by 3.
1
Let h = 31 - 18. Suppose 2*i = a + 10, 3*i - 4*a + 2*a = h. Let g(s) = s + 15. Calculate the remainder when g(18) is divided by i.
5
What is the remainder when ((-4)/12)/((-1)/159) is divided by (0 + (0 - 10))*(91 - 94)?
23
Let k = -5 - -15. Let o(r) = 3*r**2 + 254*r + 169. Calculate the remainder when k is divided by o(-84).
0
Let x(n) = -n**3 + 4*n**2 + 4*n - 11. Let a be x(4). Let h be 0 - a/(-10)*8. What is the remainder when 3 is divided by 9/h + (-1)/4?
1
Suppose -3716 = -181*w - 165 + 1336. Calculate the remainder when w is divided by 11.
5
Let f(p) = 11*p**2 + 3*p - 2. What is the remainder when 137 is divided by f(2)?
41
Suppose -75 = -21*f + 6*f. Suppose s = -2*r + 98, -5*r + 216 = f*s - 294. What is the remainder when s is divided by ((-6)/4)/((-2)/24)?
16
Suppose 57 = 2*o + 3*j, 8*o - 9*o + 5*j = -35. Suppose -r + 92 = -6*g + 9*g, g + r = o. Calculate the remainder when 81 is divided by g.
19
Let y = 57 - 54. Suppose 12 = 3*o + 4*g, y*o - 7*g - 33 = -4*g. What is the remainder when 54 is divided by o?
6
Let h = -22849 + 23009. What is the remainder when 663 is divided by h?
23
Suppose 4*a - 2*n - 299 = 17, 9*n = 18. Calculate the remainder when 1462 is divided by a.
22
Suppose -4*g + 1864 = k, 3*g - 464 = 2*k + 934. Calculate the remainder when g is divided by 145.
31
Let r(n) = -11*n**2 + 145*n + 15. What is the remainder when 1808 is divided by r(13)?
4
Let s(x) = 3 - 5 + 6 + 3*x. Calculate the remainder when s(3) is divided by ((-2)/(-8))/((-17)/15776*-29).
5
Suppose 2*k = 5*a + 47, a + 4*a = 5*k - 125. Suppose 0 = 140*o - 136*o - 484. Suppose 117*s = o*s - 28. What is the remainder when k is divided by s?
5
Let p be (-2 - -1) + 37 + (-4)/(-1). Suppose d - 10 = -4*g + 8, -2*g - p = -3*d. Let t = 41 - d. What is the remainder when t is divided by 17?
10
What is the remainder when 1075 is divided by 8/(-3) + 2 - (-33252)/306?
103
Suppose 3*m + 7 = 4*s - 0, -s - 5*m = -19. What is the remainder when 2/(-6) + 184/3 is divided by (-90)/(-6) + (4 - (s - -2))?
9
Let p(s) = 6*s**2 - 90*s - 28. Let n be p(15). What is the remainder when 1 - n - 1/(-1) is divided by 19?
11
Let h = -1128 - -775. Let t = h + 371. Calculate the remainder when t is divided by 5.
3
Calculate the remainder when (0 + (6 - (-2631)/(-6)))*(-4)/5 is divided by 167.
12
Let i(y) be the first derivative of y**3/3 - 3*y**2 - 5*y - 23. Calculate the remainder when i(9) is divided by (-2)/(1/(-1))*2.
2
Let w be (2/6)/(2*(-6)/360). What is the remainder when 164 is divided by 35*((-4)/w + (-60)/(-150))?
24
Suppose -518 = -20*t - 2198. Let f = -62 - t. What is the remainder when 83 is divided by f?
17
Suppose 17 = -2*w + w + 3*k, w - k + 11 = 0. Let v = w - -61. What is the remainder when v is divided by (-1)/(4/(-10) - (-7)/21)?
8
Suppose -276 = 20*n - 26*n. Let f = 213 + -63. Suppose -5*o - f = -605. Calculate the remainder when o is divided by n.
45
Suppose -70*i + 53191 = -32163 + 94. Calculate the remainder when i is divided by 47.
43
Suppose 3*p + 13 = 5*g, 4*p - 32 + 42 = 3*g. Calculate the remainder when 471 is divided by g.
1
Suppose -1061 = 1924*t - 1938*t + 5043. Calculate the remainder when t is divided by 126.
58
Suppose -1775 - 9965 = -188*t + 1608. What is the remainder when t is divided by 49?
22
Let v(f) = -f**2 - f - 1. Let i(m) = 2*m**3 + 9*m**2 - 11*m - 6. Let h(n) = i(n) - 2*v(n). Calculate the remainder when h(-6) is divided by 8.
6
Let j(n) = 11*n**3 + 2*n**2 - 3*n + 2. Let b(h) = 11*h**2 - 2*h - 1. What is the remainder when b(-2) is divided by j(1)?
11
Let r = 414 + -397. Let y(g) = g**2 + 8. Calculate the remainder when y(-5) is divided by r.
16
Let r = 82 + -57. Let i be r/(-15)*129*10. What is the remainder when i/(-14) - 36/63 is divided by 52?
49
Let b = 379 + -199. Suppose -v + 38 - 11 = 4*x, 0 = 5*v + 5*x - b. What is the remainder when v is divided by 10?
9
Suppose -175 = r - 3*b, 10*r = 8*r + 5*b - 346. Let u = 174 + r. Calculate the remainder when 19 is divided by u.
8
Let z = -1 - -1. Let n = -307 - -310. Suppose z = -n*i - 0*i + 51. What is the remainder when 83 is divided by i?
15
Suppose -4*o - 380 = -4*d, 5*d = -0*o + o + 495. Let w(s) = d - s**3 - 39 + 2*s**3 + 0*s**3. What is the remainder when w(0) is divided by 9?
7
Suppose -l + 228 + 87 = -4*v, 3*v - 1575 = -5*l. Calculate the remainder when 6295 is divided by l.
310
Suppose 0 = -s + 3*h - 0*h + 319, 3*s + 2*h = 1001. Suppose -3*o + s = 2*r, r - 132 = -o - 4*r. What is the remainder when o is divided by (54/5)/(18/45)?
26
Let d = -14 - -6. Let g be (d/20)/((-2)/20). Suppose 306 = 5*u - i, 0*u + g*u + 2*i - 242 = 0. Calculate the remainder when u is divided by 21.
19
Let u = 313 + -325. What is the remainder when ((-506)/6 - 3)*u/8 is divided by (13 - 1)*22/6?
43
Suppose 8*l = -10*l + 98 + 190. Suppose 2*q + j - 10 = 2*j, -20 = -3*q + 4*j. Calculate the remainder when l is divided by q.
0
Suppose -17*j + 225 = 55. Let a(l) = l**2 - l - 2. Calculate the remainder when a(j) is divided by 10.
8
Suppose 11 - 11 = -26*b. Suppose -5*h + 441 = 3*z, 35*z - 37*z + 3*h + 294 = b. Calculate the remainder when z is divided by 51.
45
Let r(k) = -2*k**3 + 32*k**2 + 3*k - 41. Let a = 19 + -7. Suppose 5*q + j = 6*j, a = 3*q + 3*j. Calculate the remainder when r(16) is divided by q.
1
Suppose 22*h = 25*h. Suppose h = -13*u + 11*u + 18. Suppose 0 = u*y - 14*y + 60. Calculate the remainder when y is divided by 5.
2
Suppose -4*w = -5*z + 374, 0 = z - 924*w + 920*w - 94. Calculate the remainder when 1537 is divided by z.
67
Suppose -391*c = -6233 - 7061. Calculate the remainder when 130 is divided by c.
28
Suppose 79*u - 36684 = 22961. What is the remainder when u is divided by 63?
62
Suppose w - n + 24 = 0, -w - 12 = 4*n + 7. Let b = w + 39. Calculate the remainder when 22 is divided by b.
6
Let o(k) = k**3 + 5*k**2 - 11*k - 2. Let v be o(2). Suppose 2*x + 3*g - 4 = 3, -v*x = -5*g - 3. What is the remainder when x is divided by 1?
0
Suppose -11*i = 6*i - 11*i - 174. Calculate the remainder when 258 is divided by i.
26
Suppose -6*x + 863 = 845. Suppose 3*d + 5*k - 37 = 4*k, 15 = -x*k. Let v(w) = w**2 - 13. Calculate the remainder when v(-9) is divided by d.
12
What is the remainder when 1903 is divided by (1 + (-6)/15)/((-45)/(-3225))?
11
Let b(j) = -j**3 - 24*j**2 - 24*j + 16. Suppose 5*v = -78 - 37. Let z be b(v). Let a = 67 - z. Calculate the remainder when 139 is divided by a.
27
Suppose -3*a + 154 = -929. Let y = -344 + a. Calculate the remainder when 25 is divided by y.
8