et f = -64 + -2. Let s = f - -176. Suppose -339 - 1767 = -193*d + 139*d. What is the remainder when s is divided by d?
32
Suppose -130*l + 134*l + 1320 = 4*a, -5*a = 2*l - 1650. Calculate the remainder when a is divided by 34.
24
Calculate the remainder when 1162 is divided by (68/12 - (44 + -39))/((-2)/(-393)).
114
Suppose 8657 = 8*k + 1401. Let g = 1147 - k. Calculate the remainder when g is divided by 35.
30
Let r be (2 - (5 + 12))/(-1). Suppose 3*h - 3*v = 2*h + 65, 3*v - r = 0. Calculate the remainder when h is divided by ((-24)/10)/((-2)/10).
8
Suppose -5*a - 26 = -246. Let r = -19 + a. Suppose -66 = -3*b - 0*i + 2*i, 2*b = -5*i + r. Calculate the remainder when 77 is divided by b.
17
Let t = -3704 + 3715. What is the remainder when 1825 is divided by t?
10
Let r be (-80)/(-28) + 18/(-21). Suppose 4*w - 27 = -r*s + 13, -s + 42 = 4*w. What is the remainder when 889 is divided by w?
9
Suppose u = -g - 166 + 337, -u + 5*g = -153. Calculate the remainder when 481 is divided by u.
145
Let p = 1171 + -1055. Suppose 142 = 4*t - 5*a, 4*a - 3*a = -3*t + p. Let q(z) = -z**3 + 4*z**2 + z + 1. What is the remainder when t is divided by q(3)?
12
Let o(c) = c**3 - c**2 - 16*c + 18. Let f(l) = -l**3 + 16*l**2 + 3*l + 4. What is the remainder when o(6) is divided by f(16)?
50
Let h(d) = -d**2 - 6*d + 2. Let r be h(-6). Let y = 102 + r. What is the remainder when y is divided by 35?
34
Let d = -66 - -66. Suppose 4*j - 5*j - 4*c - 77 = d, j = -2*c - 71. Let u = j + 143. What is the remainder when u is divided by 21?
15
Let c = -35108 - -35220. Calculate the remainder when 152 is divided by c.
40
Suppose -5*d + 3155 = 4*f, -48*f + d = -50*f + 1585. Calculate the remainder when f is divided by 144.
75
Suppose -4*l - v + 60 = 4*v, 0 = 5*l + 5*v - 75. Suppose 5*w = -z + 30, 7*z = 5*w + 3*z - 30. What is the remainder when l is divided by w?
3
Suppose 2*j - r = 911, 5*j = -r + 1515 + 780. What is the remainder when j is divided by 143?
29
Let z(x) be the second derivative of -x**5/20 + x**4 + 13*x**3/6 + 19*x**2/2 + 11*x - 1. What is the remainder when 12*(18/4 - 0) is divided by z(13)?
16
Suppose 0 = -137*t + 1677 + 5995. Calculate the remainder when 60 is divided by t.
4
Suppose -316 = -1705*i + 1701*i. What is the remainder when 901 is divided by i?
32
Let b = 11523 - 11485. Let j(u) = u**3 + 9*u**2 - 7*u + 2. What is the remainder when j(-7) is divided by b?
35
Suppose -3*x - 8*x + 22 = 0. Let z be (-5 + x)*20/(-12). Calculate the remainder when ((-666)/24)/(z/(80/(-6))) is divided by 4.
2
Let c(x) = -55*x - 9. Let q be c(2). Calculate the remainder when 2/(-1 - q/105) is divided by 12.
3
Let c(f) = f - 10. Let y = 21 - 3. Let v be c(y). Suppose -v*l = -3*l - 35. Calculate the remainder when 41 is divided by l.
6
Let b be 15/25 + (-774)/(-10). Suppose 2*z = -11*z + b. Suppose -2*f + 16 = -6*f, h + 5*f - 2 = 0. Calculate the remainder when h is divided by z.
4
Let l(f) = f**2 - 15*f + 4. Let s be l(15). Suppose 0 = s*q + 2*q - 12. Calculate the remainder when (4 - q)/((-10)/(-595)) is divided by 24.
23
Suppose -2*k = w - 51, 79 = -k + 4*k + 4*w. Suppose 0 = 58*q - 44*q + 1092. Calculate the remainder when -2 - 3 - ((-8)/(-4) + q) is divided by k.
21
Suppose 3*x - 25*o + 23*o = 171, 0 = -2*o - 6. What is the remainder when 393 is divided by x?
8
Let a(y) = -y**3 - 16*y**2 - 14*y + 31. Let s(r) = 14*r + 4. Let m be s(1). Suppose 0 = k - m + 33. What is the remainder when 38 is divided by a(k)?
6
Let b = 346374 - 346336. Calculate the remainder when -37*4*6/(-8) is divided by b.
35
Let c = 531 + -534. What is the remainder when 68 is divided by (6/c)/(4/(-22))?
2
Suppose 8 + 0 = -4*j, 0 = -4*m + 3*j + 6326. Calculate the remainder when m is divided by 34.
16
Suppose -4*s - 4*c = -120, -2*c - 93 = -3*s - 6*c. Suppose -441 = -s*j + 6*j. What is the remainder when j is divided by 13?
8
What is the remainder when (8/(-6))/(83/(-249)) + 307 is divided by 45?
41
Let f(p) = -335*p. Let j = -25 - -26. Let w be f(j). Calculate the remainder when (-2)/(-4) + w/(-10) is divided by 9.
7
Suppose -4 = -2*i - 0*h + 4*h, -4*i = 3*h - 63. Let o(f) = 2 + 5*f + 10*f**2 - 30*f - 50*f. Calculate the remainder when o(8) is divided by i.
6
Let g = -106 + 111. Suppose -22*q = -g*i - 19*q + 113, -3*i - 4*q + 62 = 0. What is the remainder when 86 is divided by i?
20
Suppose 0 = c + 4*r - 1 - 20, 3*c - 3*r = 3. Calculate the remainder when 15 is divided by (-4 - c/5)*-2.
5
Let p = 33 + -22. Let n = p + 36. Let i = n + -41. What is the remainder when i is divided by 5?
1
Let f(a) = -a**3 + 7*a**2 - 4*a. Suppose 6200*s = 6194*s + 1380. What is the remainder when s is divided by f(5)?
20
What is the remainder when 7 + (-67)/(-1)*17 is divided by 7?
5
Let q(v) = -3*v**2 - 23*v - 104. Let t be q(-14). What is the remainder when ((-74)/(-5))/((-37)/t) is divided by 40?
28
Let v(h) = -h**3 + 6*h**2 - 16*h + 116. Let f(i) = 10*i**2 + 4*i + 6. Let s be f(-4). Suppose 4*y = s + 6. Calculate the remainder when y is divided by v(6).
19
Let d be -1 + -3 + 2 - -7. Suppose d*b = 41 + 249. Let r = -40 - -52. Calculate the remainder when b is divided by r.
10
Suppose -15*q = -20*q + 865. Let g = 31 + 21. Suppose g = 5*w - 123. What is the remainder when q is divided by w?
33
Let a = 2954 - 2819. Calculate the remainder when 1624 is divided by a.
4
Let c = 3345 + -3012. Calculate the remainder when c is divided by 38.
29
Let o be 84/(-63) + 2/(-3). Let p be (-5 + 3)*(-5)/o. What is the remainder when 11 is divided by p*(-10)/18 - 20/(-90)?
2
Suppose -l + 65 - 62 = 0. Suppose a = l*m + 43 + 87, 3*a - 412 = -2*m. Let i = a + -78. What is the remainder when i is divided by 20?
18
Let x(h) = -h**3 + 8*h**2 + 21*h + 11. Let z be x(11). Let a = z + 175. Calculate the remainder when 427 is divided by a.
49
Let c = -22 + 24. Let h = -88 + c. Calculate the remainder when 147 is divided by (-16)/(-24) - 3/18*h.
12
Suppose -2*v = 4*s - 8, 9 = 3*s + 3*v - 3. Suppose -33*w + 35*w - 24 = s. What is the remainder when 39 is divided by 3/(1 + w/88 + -1)?
17
Let z(i) = 9*i**2 + 123*i - 459. What is the remainder when 2289 is divided by z(4)?
165
Let g = 13871 + -13853. Suppose 625 = 2*q + 3*q. What is the remainder when q is divided by g?
17
Suppose 3*n - 5*n + 2*a = -38, 0 = a - 5. What is the remainder when 671 is divided by n?
23
Suppose -62 = 3*x - 426 - 44. What is the remainder when 520 is divided by x?
112
Suppose -3*d = 3*w - 3429, -2*w + 307 = -4*d - 2027. What is the remainder when w is divided by 229?
6
Suppose -3*s + 3*l + 72 = 0, -5*s = 3*l - 6*l - 112. Suppose -s = -3*f - f, -3*k - 3*f = -78. What is the remainder when k is divided by 8?
5
Let w(a) = -a - 13. Let j be w(-16). Suppose -j*y = -2*y + 18. Let z = -5 - y. Calculate the remainder when 24 is divided by z.
11
Let t = 181 - 176. Let u(z) = 3*z**2 - 14*z + 16. Calculate the remainder when 54 is divided by u(t).
12
Let j be (((-64)/24)/(-4))/(2/(-24)). Let a = j - -79. Calculate the remainder when a is divided by 28.
15
Suppose -2*u = 11 - 69. Let x(l) = -153*l + 77*l + 11*l**2 - 4*l**2 - 42 + l**3 + 70*l. What is the remainder when x(-5) is divided by u?
9
Let k(y) = y - 7. Let f be ((-15)/(-9))/(78/27 + -3). Let s be (-2 + 6)*f/(-4). What is the remainder when 12 is divided by k(s)?
4
Suppose 31*v + 60*v + 40*v = 169514. Calculate the remainder when v is divided by 24.
22
Suppose 0 = -9*j + 7*j + 14. Suppose j*p + 72 = 6*p. Let u = 103 + p. What is the remainder when 89 is divided by u?
27
Suppose -26641 = -45*r - 4006. Calculate the remainder when r is divided by 85.
78
Let i = -2140 + 2246. Calculate the remainder when i is divided by 26.
2
Let k be (3 + -4)/((-2)/10). Suppose k*a + 1 = 26. Suppose 5*b - b - q = 366, -b + a*q + 101 = 0. Calculate the remainder when b is divided by 47.
44
Let k = 24 + 11. Suppose 3*y = c - 199, 3*c - 15603 = 5*y - 15042. What is the remainder when c is divided by k?
32
Suppose y + q + 29 = 0, 2*q + 90 = -3*y + 7. Let x = 7 - y. What is the remainder when 30 is divided by (-1)/(-3) + x/3?
8
Suppose 0 = 28*d - 1047 + 67. What is the remainder when (2 + -1)/((-3)/(-411)) is divided by d?
32
Suppose -1230 = -2*h - 37*w + 33*w, -1238 = -2*h - 5*w. What is the remainder when h is divided by 126?
95
Suppose 0*p - 48 