 6.
3
Let b(q) = -q**2 - 24*q - 11. Suppose 145*s - 158*s + 949 = 0. What is the remainder when s is divided by b(-22)?
7
Suppose -4*q - 3 = 5*a + 14, 5*a = -2*q - 21. Let d(g) = -g**3 - 64 + 118 - 59 - 8*g - 5*g**2. What is the remainder when 99 is divided by d(a)?
29
Let k(h) = -2*h + 36. Let p be k(12). Let b = 11 - p. Let m(f) = -31*f**3. Calculate the remainder when 183 is divided by m(b).
28
Let b(y) = 21*y + 497. Let c = 27 - 27. Suppose 0*z - 3*z + 165 = c. What is the remainder when z is divided by b(-23)?
13
Let f(w) = 262*w - 765. What is the remainder when 73 is divided by f(3)?
10
Let i be 0 - (-5 + 10) - -16. Suppose -3*u - u = 5*c - i, -12 = -3*u. What is the remainder when 38 is divided by ((-222)/37)/(c/(0 - -1))?
2
Suppose -3*k + 5*s + 247 = 0, 0 = 115*s - 112*s + 15. What is the remainder when 663 is divided by k?
71
Suppose -4*x - 152 = -4*h, 0 = -4*h + 5*x - 10*x + 161. Suppose -3*f + h + 35 = -2*a, 44 = 2*f + 4*a. Calculate the remainder when 215 is divided by f.
23
Let f(t) = t**2 - 3*t + 2. Let i be f(4). Let d(p) = p**3 - 6*p**2 + 7*p - 8. Suppose 10 = -4*m + 58. What is the remainder when d(i) is divided by m?
10
Suppose 109*b + s - 9 = 108*b, 2*b + 3*s = 15. Let l be (-5)/2*(-2 + 4). What is the remainder when (-292)/l + 4/(-10) is divided by b?
10
What is the remainder when 398 is divided by (-1448)/(-10) - (-138)/115?
106
Suppose -2*z + 34 = -2*a, 72 = 3*z - 5*a + 15. Let o = 31 - 27. Calculate the remainder when z is divided by o.
2
Let k be ((-8)/(-4) + 45)/(-1). Calculate the remainder when -1*(k - (-2 - 2)) is divided by 15.
13
Let r(i) = i**2 + 7*i + 10. Let v be r(-6). Suppose -4*z - v = 3*l, 2*l = -z - 0*z + 4. Calculate the remainder when (-1 - 19/z)/((-3)/(-16)) is divided by 8.
4
Let d(i) = 16*i - 170. Let b be d(11). What is the remainder when (-8)/b*((-274)/4 + -2) is divided by 11?
6
Let o = -54 + 216. What is the remainder when o is divided by (-282)/(-10) - (-8 - 410/(-50))?
22
Suppose 2*t = -3*g - 14440 + 14588, -4*g = 3*t - 223. Suppose q = 4*q + 18. Let c(p) = -3*p + 8. What is the remainder when t is divided by c(q)?
25
Suppose -3*o = u + 82, -3*o + u - 92 = -0*o. Let a = o - -58. Suppose -129 = -5*v - a. Calculate the remainder when 57 is divided by v.
17
Suppose 0 = 12*d + 4456 + 260. Let x = 411 + d. What is the remainder when x is divided by 14?
4
What is the remainder when 1139 is divided by (-1)/(15235/693 + -22)?
5
Suppose -z - 7 = -5*k, 0*k = -5*z + 5*k + 125. What is the remainder when 1130 is divided by z?
8
Suppose 86*k - 4700 = 34*k + 1592. What is the remainder when 628 is divided by k?
23
Let i = 81 + -49. Let u(r) = 4*r**2 - 51*r - 3. Let j(k) = -k**2 + 17*k + 51. Let d be j(19). Calculate the remainder when i is divided by u(d).
2
Let z(w) = -w**3 + 21*w**2 - 22*w + 40. Let j be z(20). Suppose j*p = p - 5. Calculate the remainder when 48 is divided by p.
3
What is the remainder when 1355 is divided by -1*((-16)/6)/(22/3729) - 2?
5
Let t be 1/(-2)*-1*4. Suppose t*x - 156 = -x. Suppose -y + 19 = -5*b, 2*y - 56 = b - 18. Calculate the remainder when x is divided by y.
14
Let k = -162 + 350. What is the remainder when k is divided by (24/(-14))/(3/672*-8)?
44
What is the remainder when 3 - -3028 - (11 - 3) is divided by 108?
107
Suppose 3*l + 131 - 35 = 0. Let k = l + 47. What is the remainder when (-2)/7 + (-788)/(-14) is divided by k?
11
Let q be (37/5*-2)/(3/15). Let s = q - -113. Calculate the remainder when s is divided by 12.
3
Let f be (4 + (21 - -1))*(-1 - 0). Let n be -6 + 3 + 2*-1*f. Suppose 4*o + o = -2*s + n, -5*o + 37 = -4*s. What is the remainder when 53 is divided by o?
8
Suppose -327*s - 218*s = -9102541 + 1431666. Calculate the remainder when s is divided by 51.
50
Suppose t = -t + 40. Let u be (-6 - 0)*42/(36/6). Let c = u + 121. Calculate the remainder when c is divided by t.
19
Let p(v) = v**2 - 16*v - 38. Calculate the remainder when 109 is divided by p(19).
14
Let i = -9 - -24. Let a = i - -9. Let x(m) = m**3 + 8*m**2 - 3*m - 15. Calculate the remainder when a is divided by x(-8).
6
Let f = 33 + -66. Let m = 68 + f. What is the remainder when m is divided by (-1)/((2/(-12))/(33/22))?
8
Let m = 754 - 583. Let h = -6 - -11. Suppose -3*l + 0*l + m = h*s, -2*l + 119 = 5*s. Calculate the remainder when l is divided by 27.
25
Let h be 60/(-35) - 2/7. Let o(q) = 2017*q - 10006. Calculate the remainder when o(5) is divided by -1*h/(4/18).
7
Let n = -173 - -206. Suppose -3*d = -3*b + 186, -b = d - n - 33. Calculate the remainder when b is divided by 13.
12
Suppose 514*l - 438*l - 10184 = 0. What is the remainder when 447 is divided by l?
45
Let n(f) = -2*f**2 + 30. Let o be n(-9). Let a = -105 - o. What is the remainder when a is divided by (1/((-3)/(-21)))/1?
6
Let s(a) = 4*a + 4. Let h be -10 + (-144)/(-15) - (-26)/(-10). What is the remainder when 0 - 164/h - (-98)/294 is divided by s(3)?
7
Let t(u) = -6*u - 48. Let k be t(-21). Let z = k + -65. Suppose 0 = 4*h - 8, j - 2*h - 96 = -j. Calculate the remainder when j is divided by z.
11
Let d = -2369 + 3324. Suppose -69*l + d = -149. What is the remainder when 25 is divided by l?
9
Suppose 26*c - 3*k = 25*c + 1, -69 = -4*c - k. What is the remainder when 4475 is divided by c?
11
Let p(d) = d**3 - 16*d**2 - 105*d + 85. Calculate the remainder when 504 is divided by p(21).
79
Let r be (-180)/(7/((-84)/18)). Let k = r - 90. What is the remainder when k is divided by 21?
9
Suppose -164*n + 2*j = -159*n - 562, 3*n = 3*j + 339. What is the remainder when 274 is divided by n?
50
Suppose p - 1095 = 2*g, -102*p = -97*p - 3*g - 5461. What is the remainder when p is divided by 108?
11
Let w be 222/16 - (-1)/8. Let x = 60 - w. Let c = -33 + x. Calculate the remainder when 141 is divided by c.
11
Let w be 6 - -18*(-5)/15. Suppose w = -24*n + 11*n + 949. What is the remainder when n is divided by 26?
21
Let a(s) = s**3 + 51*s**2 - s - 57. Let d be a(-51). Let v(q) = q**2 + 6*q + 19. Calculate the remainder when 187 is divided by v(d).
16
Suppose l + 144 = 13*l. Suppose -l = -6*b + 6. Suppose 0*y + y = -b*q + 73, -2*y = -2. Calculate the remainder when 115 is divided by q.
19
Let z be (-1)/(4/10)*2. Let g be (-13)/(312/(-660))*2*-1. Let o = z - g. What is the remainder when o is divided by 11?
6
Let l be 0/(-2*((-6)/(-2) - 4)). Suppose d = 7*g - 10*g + 56, 4*g = l. What is the remainder when 67 is divided by d?
11
Let v(a) = 9*a**2 - 417*a + 408*a + 30*a**2. Calculate the remainder when v(2) is divided by 48.
42
Let g(j) = -9*j**2 - 3*j - 37. Let o be g(-7). Let s = o + 593. Calculate the remainder when s is divided by 70.
66
Let v = 91 - 18. Calculate the remainder when v is divided by 40/(-6)*(62 - 15420/240).
13
Let o(z) = -529*z + 536. What is the remainder when 887 is divided by o(1)?
5
Let p = -941 + 1180. What is the remainder when p is divided by 61?
56
Let d(x) = 2*x**3 - 3*x - 18. Let v be d(-4). What is the remainder when (0 - -9)/3*v/(-6) is divided by 32?
3
Let i = -131 - -744. Let a = -261767 - -261823. What is the remainder when i is divided by a?
53
Suppose -11*s - 24*s + 35 = 0. Let k(u) = -u**2 + 10*u**3 + 0*u**2 + 0*u + 3 - 3*u. What is the remainder when 35 is divided by k(s)?
8
Let h(b) = -62*b + 14 + 11 - 18 + b. Let i be h(-1). Let y = 140 - i. Calculate the remainder when y is divided by 25.
22
Suppose 0 = -13*l + 5*l + 16. Calculate the remainder when 55 is divided by (27 + 2)/(3 - l).
26
Let d = 16 + -11. Suppose 3*i - 45 = -3*x, 2*x + x = 0. Suppose 200 = d*a + i. Calculate the remainder when a is divided by 10.
7
Suppose 21*f - 16 = 17*f, 3*f = -2*c + 1392. What is the remainder when c is divided by 58?
52
Suppose -2*a + 148 = -0*a. Let s(j) = 2*j**3 - 51*j**2 + 150*j - 17. What is the remainder when a is divided by s(3)?
18
Let b be (-2)/(-3) + 40/(-6). Let f be 4/b*(-660)/10. Let h = 53 + f. What is the remainder when h is divided by 33?
31
Suppose 92 = 2*i - 78. Suppose i = t + 29. Calculate the remainder when 109 is divided by t.
53
What is the remainder when ((-326)/(-815))/(((-1)/(-740))/1) is divided by 123?
50
Calculate the remainder when 184 is divided by (-18 + 9)*(-451)/99.
20
Let n = 29 + 0. Suppose -23*z - 636 = -n*z. Let f = 29 + -11. What is the remainder when z is divided by f?
16
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