ed by f.
12
Suppose 8 = -2*y, -5*z - 5*y + 86 = -94. What is the remainder when z is divided by 11?
7
Let s(n) = -8*n**2 - 509*n - 202. What is the remainder when s(-61) is divided by 120?
119
Suppose -5*q + 2*u + 427 = 0, 4 = -5*u + u. Let p = -71 + q. What is the remainder when (-8)/6*(-74 + -7) is divided by p?
10
What is the remainder when 79 is divided by (-12)/(-16) + (3 - (3 + (-177)/4))?
34
Let o be (-1 - (-2028)/(-18)) + (-2)/6. Let t = 137 + o. What is the remainder when 43 is divided by t?
20
Let b(t) = 26*t**2 - 5*t - 4. Let w(g) = 47*g**2 + 410*g - 38. What is the remainder when b(-3) is divided by w(-9)?
8
Suppose 2*h - 11178 = -5*j - 0*h, -5*h = 5. Suppose 0 = 31*n - j - 2941. What is the remainder when n is divided by 29?
22
Let b(h) = 4*h**2 + 5*h - 4. Let t be b(4). Suppose -t = -s - 0*s - 2*u, 2*s + 3*u = 155. What is the remainder when 137 is divided by s?
67
Suppose 32*j - 23*j = 36. Suppose i + j*y - 80 = 0, -2*i - 315 = -7*i - 3*y. Suppose 11 = u - 0. What is the remainder when i is divided by u?
5
Let s = -178 + 73. Let o = -97 - s. Let w(z) = 5*z**2 - 28*z + 2. What is the remainder when w(o) is divided by 33?
32
Let o(p) = 2*p**3 - 10*p**2 + 5*p + 8. Let n be o(6). Suppose 31 + n = m. What is the remainder when m is divided by 37?
30
Let x be -3 - 2*(-10)/4. Suppose x*o - 26 = -0*m - 3*m, 75 = 5*o + 5*m. Suppose 157*d + 828 = 166*d. What is the remainder when d is divided by o?
16
Let o(h) = 2*h**2 - 162*h - 834. Let c = 4 + -2. Calculate the remainder when o(-5) is divided by c.
0
Let l = 1352 - 1029. Let a = 8 - -1. Calculate the remainder when l is divided by a.
8
What is the remainder when 9 + -11 + 11 + 1 + 4475 is divided by 68?
65
Suppose 557*j - 3198500 = 57*j. What is the remainder when j is divided by 66?
61
Suppose 4*t = -3*c + 4, -34 - 26 = -5*c + 4*t. Let x be 1683/(-44) - (-2)/c. What is the remainder when ((-11)/(-22))/((-1)/x) is divided by 7?
5
Let z be (-12)/(-20)*(30 - (-1 + 1)). Suppose 880 = z*w + 2*w. Calculate the remainder when 174 is divided by w.
42
Let n = -45 - -40. Let l(p) = -p**2 - 16*p - 1. Calculate the remainder when l(-7) is divided by (-12)/n*(-40)/(-6).
14
Let y be (1 + -2)*(-8 + 5). Let b be ((-1)/y*20)/((-6)/9). Suppose -4*o + 4 = 3*x - 6, -b = -x + 2*o. What is the remainder when 28 is divided by x?
4
Let q(y) = -304*y - 303*y + y**2 + 589*y + 8. What is the remainder when (2 + -1 - 0)*21 is divided by q(18)?
5
Let i = -25 - -27. Suppose 9*r + p + 194 = 11*r, -182 = -i*r + 4*p. Calculate the remainder when r is divided by 26.
21
Let c = -1080 - -1158. What is the remainder when 311 is divided by c?
77
Suppose 9*l - 162*l + 161415 = 0. What is the remainder when l is divided by 19?
10
What is the remainder when 5 + 1 + (-19 - -1189) is divided by 20?
16
Let o = 671 + -413. Let c = 343 - o. What is the remainder when c is divided by 31?
23
Suppose 6*f - 2*f + 5*c = 1244, 0 = -2*f - 5*c + 632. Suppose -f = -10*b + b. What is the remainder when 202 is divided by b?
32
Suppose 4463*i - 4434*i - 10179 = 0. What is the remainder when i is divided by 45?
36
Suppose 22*y - 21*y - 17 = 0. Suppose y*l - 16*l = 0. Suppose 5*j = l, -2*a + 88 = 4*j - 66. What is the remainder when a is divided by 13?
12
Suppose 466*d = 459*d + 14. Suppose 95 = z - 5*j, d*j - 16 = -26. Calculate the remainder when 488 is divided by z.
68
Let k(c) = 10*c - 108. Let l be k(6). Let a = l - -179. Calculate the remainder when a is divided by 12.
11
Let o be (-939)/(-7) - (-28)/(-196). Suppose 0*q - 2*i + 109 = 3*q, -4*q = -3*i - o. Calculate the remainder when q is divided by 14.
7
Suppose -295*j + 1725 = -123*j + 173*j. Suppose x + 4*u = 3*x - 188, 498 = 5*x + 4*u. What is the remainder when x is divided by j?
3
Let r(b) = 9*b**2 - 27*b - 50. Calculate the remainder when 457 is divided by r(-2).
17
Let u(k) = 9*k**3 + k + 2. Let v be u(-1). What is the remainder when 1388/(-6)*(-7 - 44/v) is divided by 14?
11
Suppose 275 = 3*n + 5*g - 207, -500 = -3*n + 4*g. Let h = 2193 - 2165. What is the remainder when n is divided by h?
24
Let p(w) = -w**2 + 11*w - 19. Suppose 5*s + 0 - 32 = -2*i, -8 = 2*i. Let l be p(s). Suppose 16 = 9*v - l*v. What is the remainder when 25 is divided by v?
1
Let d(p) = -3*p - 14. Let t be d(-15). Let w = 29 - t. Calculate the remainder when 4 - ((2 - 58) + w) is divided by 16.
14
Let k(v) = -v**2 + 16*v + 90. Calculate the remainder when 7662 is divided by k(18).
48
Let q(x) = x**2 - 8*x + 58. Let p = -575 + 575. What is the remainder when 285 is divided by q(p)?
53
Suppose -115 = -2*n + 4*p - 3*p, -2*n - p = -121. What is the remainder when n is divided by (-30)/70 + (-286)/(-14)?
19
Suppose 0 = -5*k - 20, -5*k + 34 = -5*p + 99. Let c be 24 - ((-1 - 1) + (-6 - -9)). Suppose -5*u + c = -4*u. What is the remainder when u is divided by p?
5
Let h(k) = -4*k**2 - 85*k + 66. What is the remainder when 391 is divided by h(-21)?
43
Let y = 201 - 110. Calculate the remainder when 30 is divided by (72/(-14))/((-26)/y).
12
Let h(b) = -1404*b - 2801. Let l = 135 + -80. What is the remainder when l is divided by h(-2)?
6
What is the remainder when 867 is divided by ((-142)/(-10))/(3808/(-255) + 15)?
15
Suppose 0 = 4*y + m - 2810 + 841, 0 = -2*y - 4*m + 1002. Let j = -366 + y. Calculate the remainder when j is divided by 4/14 + 124/7.
17
Let m be -9*(48/56)/((-18)/280). Calculate the remainder when (-2)/(-4) - (-73)/2 is divided by ((-6)/4)/(9/m*-1).
17
Suppose -486 = 13*v - 19*v. Let m(q) = 43*q**2 + q - 2. Let o be m(1). What is the remainder when v is divided by 542/26 - o/(-273)?
18
Suppose 4*z + 10 = 9*z, 0 = -2*y + 3*z + 12. Suppose 0 = -y*h + 450 - 54. Calculate the remainder when 437 is divided by h.
41
Suppose -541*n = -503*n - 58748. What is the remainder when n is divided by 17?
16
Let j(l) = 16*l**2 + 312*l + 142. Calculate the remainder when j(-21) is divided by 28.
2
Calculate the remainder when (2 + -1)*((-598785)/(-759) - (-2)/23) is divided by 163.
137
Let n be 3*(-2)/(-6) + -2. Suppose 0*r - 5*x - 297 = -4*r, 2*x - 318 = -4*r. Calculate the remainder when r is divided by (-6 - -11) + (n - -36).
38
Suppose 2*n = -3*c + 24, n + 2*c = 9 + 5. Let b = 56 - n. What is the remainder when b is divided by 20?
10
Let w(y) = -2*y**3 + 8*y**2 + 10*y + 4. Calculate the remainder when 36 is divided by w(5).
0
Let f(h) = -h**3 + 16*h**2 + h + 165. Calculate the remainder when f(13) is divided by 49.
48
Let z(q) = 4*q**2 - 5*q - 10*q**2 + 7*q**2 + 0 - 5. Let w be z(-5). Suppose 4*s = i + 33, 5*s - w = 4*i + i. Calculate the remainder when s is divided by 6.
2
Let h = -10957 - -11123. What is the remainder when h is divided by 9?
4
Let o = -310 - -3797. Suppose -4*p = 7*p - o. Suppose 0 = -3*c + 4*h + p, -c + 12 + 92 = -h. What is the remainder when c is divided by 26?
21
Let j = 492 - 182. What is the remainder when j is divided by 26?
24
Let q(t) = 33*t**3 - 4*t**2 + 17*t - 11. Calculate the remainder when q(3) is divided by 56.
55
Let a be (-229)/(-10) + 4*2/80. Suppose -a*n + 840 = n. Calculate the remainder when 382 is divided by n.
32
Let z be 22/165 - (-1672)/60. Calculate the remainder when 6444/z + 5 + (-144)/28 is divided by 8.
6
Let a be (1 + -613)/(-2) - -1. Suppose -a = -5*p - 77. Let l = p - 30. Calculate the remainder when 63 is divided by l.
15
Let q be 19/57*6/4*26. What is the remainder when 58 is divided by 284/q - (-6)/39?
14
Let d(t) = 5*t. Let o be d(2). Suppose o*m = 5*m + 85. Suppose 0 = i - 56 - 10. What is the remainder when i is divided by m?
15
Let q(n) = 252*n - 24. Let a be 60/40*4/6. Calculate the remainder when q(a) is divided by 58.
54
What is the remainder when 2536 is divided by 28 + (-140)/(14/1)?
16
Let l(h) = h + 23. Let z be l(-16). Suppose -z*k + 133 = -91. What is the remainder when 222 is divided by k?
30
Let k = -88 + 105. Suppose -2*s - z = -54 + k, -3*s + 59 = -2*z. Suppose -3*o + 2*o + 34 = a, 4*o = 5*a - 179. Calculate the remainder when a is divided by s.
16
Let a(d) = 22*d**2 + 65*d - 240. What is the remainder when a(4) is divided by 55?
42
Let b = 723 - 687. What is the remainder when 7 + -8 - (-5 - b) is divided by 2?
0
Let x = 3802 + -3665. What is the remainder when x is divided by 76?
61
Suppose -1135 - 2655 = -10*f. Calculate the remainder whe