 0 = i - 0*f - 4*f - 90. What is the remainder when 417 is divided by i?
67
Let q(g) = g**2 + 5*g + 20. What is the remainder when q(-8) is divided by 10?
4
Let b be (1 - 2)/((-1)/(-17)). Let s be -4*3/(-6) + b. Calculate the remainder when 15 is divided by (15/9)/(s/(-54)).
3
Let c = 1 + 2. Suppose 0 = -4*t, -4*t + c = l - 0. Calculate the remainder when (-29)/(1682/4) - (-178)/58 is divided by l.
0
Let k(f) = f**2 + 6*f - 1. Let u be k(-10). Let w = u - 31. Calculate the remainder when 27 is divided by w.
3
Suppose 3*q + 58 = 5*q. What is the remainder when (-42)/(-273) - (-2206)/26 is divided by q?
27
Let z = 772 - 763. Calculate the remainder when 50 is divided by z.
5
Let w(g) = -g**2 - 79*g + 96. What is the remainder when w(-79) is divided by 90?
6
Let u = -15 - -15. Suppose -4*x = -u*x - 32. Suppose 0 = x*l - 12*l + 72. Calculate the remainder when 33 is divided by l.
15
Suppose 0 = -4*y - 4*m + 13 + 135, -165 = -5*y - m. What is the remainder when 87 is divided by y?
23
Let a(o) = o - 5. Let w be a(8). Suppose w*z + 102 = 5*z. Let c(p) = -4*p + 49. Calculate the remainder when z is divided by c(9).
12
Let r(a) = -6*a - 183. Calculate the remainder when r(-37) is divided by 27.
12
Let q = 296 - 294. Calculate the remainder when 33 is divided by q.
1
Suppose b - 19 = -x, -2*x + b + 107 = 3*x. Suppose -4*q + 2*q - 5*v + 317 = 0, 5*q - 839 = 3*v. What is the remainder when q is divided by x?
19
Suppose 18*c = 14*c + 12. Suppose c*t - 25 = -b - 2*t, -t + 100 = 4*b. What is the remainder when 85 is divided by b?
10
Let h(a) = -a**3 + 20*a**2 + 2*a - 11. What is the remainder when 260 is divided by h(20)?
28
Let t be (9 - 1)/((-34)/(-16) - 2). Suppose 0 = 2*r - 2*l - t, -4*l = -3*r - 2*l + 99. Calculate the remainder when 136 is divided by r.
31
Suppose -3*j = 3, -2*b - 4*j + 40 = -b. What is the remainder when 74 is divided by b?
30
Let y(t) = -t**2 + 5*t + 4. Let i be -2 - (-105)/(2 + 1). Suppose p - 4*s - i = -0*p, 64 = 4*p + s. Calculate the remainder when p is divided by y(5).
1
Let g(q) = 7*q - 13. Let l(f) = -6*f + 12. Let c(s) = 5*g(s) + 6*l(s). Suppose -8 = -3*v - 5. What is the remainder when c(6) is divided by v?
0
Let t(d) = -50*d**3 - 3*d**2 - 11*d - 15. Calculate the remainder when t(-2) is divided by 101.
92
Let n = -8 - -8. Let i(q) = -2*q + 5. Let z be i(n). Suppose -z*v = -76 + 6. Calculate the remainder when 24 is divided by v.
10
Let m = -286 + 319. What is the remainder when m is divided by 13?
7
Let x(z) = -3 - 7*z - 1 - 8 - 3. What is the remainder when 38 is divided by x(-5)?
18
Let p(z) = 12*z**2 + 2*z - 2. Let w be p(-3). Suppose 0 = 4*r + 5*q - 98, -q = 5*r - 6*q - w. What is the remainder when r is divided by (-1 + -7)/(3 + -4)?
6
Suppose 216 = 3*u - 2*a, 66*a = -4*u + 69*a + 288. Calculate the remainder when 213 is divided by u.
69
Let i(a) = 11*a**2 + 1. Let s be i(1). Calculate the remainder when ((-69)/s)/((-2)/8) is divided by 9.
5
Let u be (-2)/4 - 5/(-2). Let r be (u + 82/10)*5. Suppose 2*f - r = -f. Calculate the remainder when f is divided by 5.
2
Suppose 0 = -3*o + 4*z - 236, -2*o + 0*z - 5*z - 119 = 0. Calculate the remainder when 24 is divided by ((-6)/4)/(12/o).
6
Let v = 262 + -126. What is the remainder when v is divided by 20?
16
Let j be (-15)/((-3)/6 - 3/(-10)). Calculate the remainder when 3 - 5/(j/(-18))*10 is divided by 5.
0
Suppose -2420 = 15*h - 4535. Calculate the remainder when h is divided by 17.
5
Suppose 5*h - 33 = 67. Suppose -5*g + 406 - 341 = 0. Calculate the remainder when h is divided by g.
7
Suppose 2*f = 2*z - 56, -55 = -2*z - 4*f + 31. Calculate the remainder when 1085 is divided by z.
29
Let l(y) = y**3 - 5*y**2 - 4*y - 8. Let m be l(6). Suppose 63 = -5*n + 223. Calculate the remainder when n is divided by (-150)/(-14) - (104/28 - m).
10
Let d(z) = -56*z + 586. Calculate the remainder when 107 is divided by d(10).
3
Let v = 362 - 347. What is the remainder when v is divided by 34/4 + (-1)/2?
7
Suppose 48 = -0*w + 4*w. What is the remainder when w is divided by 2*1*(1 - -1)?
0
Calculate the remainder when 609 is divided by ((-1)/(-3))/((-25)/(-4575)).
60
Let l = -286 + 327. Calculate the remainder when 76 is divided by l.
35
Suppose -5*a = -3*z + 776, -3*z + 272 = 4*a + 882. Let p be a/(-4) + (-3)/6. Let f = -15 + p. What is the remainder when f is divided by 12?
11
Suppose -2072 = -132*j + 104*j. What is the remainder when j is divided by 42?
32
Suppose -19*l - 4*l + 1219 = 0. Calculate the remainder when l is divided by 9.
8
Let f = -762 + 787. Calculate the remainder when f is divided by 13.
12
Let i(j) = 15*j**2 + 2*j - 16. Let s be i(5). Suppose -5*z = -s + 9. Calculate the remainder when z is divided by 2 - (-46)/(2/1).
22
Let m = 1530 - 1517. Let k = 270 + -180. Calculate the remainder when k is divided by m.
12
Calculate the remainder when 55 is divided by (-2)/11 + (-8 - 1440/(-55)).
1
Suppose -5*l - 33 = -3*p + 19, -100 = -5*p + 5*l. Calculate the remainder when p is divided by 6.
0
Suppose -5*j + 4*q = -0 - 9, 4*q + 3 = -j. Let t(w) = 5*w**3 + 10*w**2 - 3*w - 5. Calculate the remainder when j is divided by t(-2).
0
Let v(i) = i**3 + 7*i**2 - 3*i - 52. Let a = 229 + -56. Suppose 0 = -4*f + 2*w + 138, -f - 4*f + 3*w = -a. What is the remainder when f is divided by v(-5)?
8
Let i(v) = 63*v**3 - 2*v**2 + 2*v - 1. Let y = 936 - 925. Calculate the remainder when i(1) is divided by y.
7
What is the remainder when 1818/(-4)*100/(-225) is divided by 67?
1
Suppose 102*p - 832 = 89*p. What is the remainder when p is divided by 6?
4
Let p = 91 + -56. Suppose -150 + 168 = t. Calculate the remainder when p is divided by t.
17
Let q(z) = 1. Let d(s) = s - 6. Let y(f) = -2*d(f) - 11*q(f). Calculate the remainder when 15 is divided by y(-1).
0
Suppose 5*k + 0*w - 4*w - 145 = 0, 3*w = 15. Calculate the remainder when 362 is divided by k.
32
Suppose -5*s + 3*s + 102 = 0. Suppose -4*o - g + 4*g + s = 0, -g = 1. What is the remainder when (-68)/6*1*-3 is divided by o?
10
Let i(g) be the second derivative of g**4/12 - 4*g**3 + 39*g**2/2 + 27*g. What is the remainder when i(23) is divided by 6?
4
Calculate the remainder when 40/32*44 - 5 is divided by 41.
9
Let x = -26 - -68. Calculate the remainder when x is divided by 135/6 + 2/4.
19
Let o = -221 + 253. Let l be (-2)/(-10) + 1/(-5). Suppose -4*h + 68 = -l*h. What is the remainder when o is divided by h?
15
Suppose 3*q + 48 = 30. Let o(c) = 13*c - 2. What is the remainder when o(4) is divided by (q + 5)*(-16 - 1)?
16
Let a(w) = w**3 - 9*w**2 + 7*w + 22. What is the remainder when (208/24)/(1/3) is divided by a(8)?
12
Let t = -395 - -454. What is the remainder when 1120 is divided by t?
58
Let b = 26 + -26. Suppose -3*f + 5*i + 49 = b, -2*f + 3*i - 33 = -5*f. Calculate the remainder when f is divided by 4.
1
Let c(g) be the third derivative of g**5/60 + g**4/24 - 2*g**3 + 17*g**2. What is the remainder when c(-7) is divided by 11?
8
Let g = 13 + -7. Suppose 4*r = -0*f - f + 2, 5*r + g = 3*f. Suppose -3*j = 2*s - 69, -123 = -2*s - f*s - j. Calculate the remainder when s is divided by 11.
8
Let x = 8 - 4. Suppose 3*l - l - 6 = 2*c, -5*l + x*c = -15. Suppose 0*k - 2*k + 69 = l*r, 5*k + 5*r = 160. What is the remainder when k is divided by 14?
13
Suppose -131 = -3*p + 4*s + 31, -p = -4*s - 62. Calculate the remainder when p is divided by 23.
4
Let i(v) = -3*v**3 + 9*v - 3*v**3 + 12*v**2 - 15 + 7*v**3. Let p be i(-11). Suppose p = -g + 2*g. What is the remainder when 26 is divided by g?
5
Let o = -32 + 53. Let w(p) = -2*p**2 - 9*p + 3. Let f be w(-4). Suppose 8 = 8*k - f*k. Calculate the remainder when o is divided by k.
5
Let r = 249 + -233. What is the remainder when 44 is divided by r?
12
Suppose -x = 3*x - 452. Suppose -62 = -4*t - 2*l, 5*t - 65 = 74*l - 64*l. Calculate the remainder when x is divided by t.
8
Suppose 5*r - 62 = i, -i = -r + 13 + 1. Suppose 2*o - r = 6*o. What is the remainder when ((-18)/(-2))/(o/(-8)) is divided by 13?
11
Let s(p) = 9*p**2 + 4*p. Let a = 55 - 91. Calculate the remainder when s(3) is divided by (a/20 - 3)/((-1)/5).
21
Suppose 25*j = 19*j + 60. What is the remainder when -1 + 30 - (0 - 0) is divided by j?
9
Suppose -24 = -4*o + 28. Let z be -3*(2/8 + (-46)/24). Suppose 4*w - 24 = -z*s, s - 8*w + 4*w = 0.