13
Suppose -46*l = -42*l - 68. Calculate the remainder when 101 is divided by l.
16
Let h(w) = w**3 + 8*w**2 + 5*w - 5. Suppose -3*f - 2*f - 35 = 0. What is the remainder when 25 is divided by h(f)?
7
Calculate the remainder when -1 - -6 - 1167/(-3) is divided by 104.
82
Let h = 361 - 326. Suppose -g - q - 2*q + 15 = 0, 2*q + 5 = g. Calculate the remainder when h is divided by g.
8
Suppose 3*i + 9*k = 14*k + 48, 4*i = 3*k + 64. Let q(y) = -4*y**3 + 1. Calculate the remainder when i is divided by q(-1).
1
Let o = 96 - 7. Let s = -57 + o. What is the remainder when s is divided by 18?
14
Let i(k) = -36*k - 7. Let m be i(4). Let y = m + 226. What is the remainder when y is divided by 19?
18
Let i be (4 + 1/1)/1. Suppose 4*q - 290 = 3*n + 20, i*q - 389 = 3*n. Calculate the remainder when q is divided by 16.
15
Let j(n) = n**3 + 7*n + 1. Let h be j(3). Let g = -47 + h. Let f = 6 + 5. Calculate the remainder when f is divided by g.
1
Suppose 13 = 3*v - 5*x - 6, 3*x + 40 = 4*v. Calculate the remainder when -5 - 56/(-12) - (-1900)/30 is divided by v.
11
Calculate the remainder when (-33)/(2088/423 - 5) is divided by 20.
17
Let g = -28 + 91. Let j = 96 - g. What is the remainder when j is divided by 7?
5
Let s be (-3)/(-15) - (-18)/(-15) - -7. Suppose 3*d + s*v - 21 = 2*v, -5*v + 6 = -3*d. Calculate the remainder when 25 is divided by d.
1
Let p(r) = -r**2 + 4*r + 5. Let d be p(4). Let b be -2 - (-710)/(2 + 3). Suppose d*y - b = 3*f - f, -2*f = -10. What is the remainder when 59 is divided by y?
29
Suppose 2*s + m = 40, 1 - 99 = -5*s - 2*m. Suppose -p + 24 = 2*p. What is the remainder when s is divided by p?
2
Let x = -668 - -641. Let z = -246 - -172. What is the remainder when 147 is divided by z/3*x/18?
36
Let i = -152 + 180. Calculate the remainder when 95 is divided by i.
11
Suppose d + 17 = -4*x, 15 = -4*d - 2*x - 25. Let q be 4*5*3/4. Let t = q + d. What is the remainder when 17 is divided by t?
5
Suppose -11 = -10*w - 11. Suppose w = -4*q - 27 + 215. What is the remainder when 93 is divided by q?
46
Let o(c) = 2*c**2 + 8*c - 5. Let m be o(-5). Suppose 17 + 28 = m*k. Calculate the remainder when 43 is divided by k.
7
Let g(k) = k**2 - k - 3. Let r be g(-4). Let f = -6 + r. Suppose -8*i + 150 = -90. What is the remainder when i is divided by f?
8
Let k be 5*(-5 + 4) - -56. Suppose 3*o = -8*z + 3*z + k, 3*z - 3*o - 45 = 0. Calculate the remainder when 35 is divided by z.
11
Suppose 6*r - 4*t = 2*r + 4, -3*r - 7 = 2*t. Let n = 1673 + -1648. Calculate the remainder when n is divided by (-13)/((-1)/(r/(-1))).
12
Let u be 22 - (-8)/(-4)*1. Calculate the remainder when 75 is divided by 1*-4*(-95)/u.
18
Suppose -54 = -6*h + 5*h. Suppose h = 2*y - 3*y. Let l = -35 - y. What is the remainder when 75 is divided by l?
18
Let p = -26 + 43. Suppose 14 = j + j. Suppose j*x = 6*x + 48. What is the remainder when x is divided by p?
14
Let z(g) = 2*g**2 + 2*g + 2. Let b be z(-2). Suppose 3*o - 5*o = -b. Suppose -2*s + 5 = -o. What is the remainder when 6 is divided by s?
2
Let o = -8 - -104. Let u(b) = 2*b**3 + 61*b**2 - 194*b + 5. Calculate the remainder when o is divided by u(3).
18
Let r = -29 - -11. Let d = 28 + r. Suppose l + 1 - d = 0. What is the remainder when 35 is divided by l?
8
Let z be ((-108)/10)/((-10)/50). Suppose 2*m - z = -2*v, -m + 23 = 4*v - 2*v. What is the remainder when 121 is divided by m?
28
Suppose 0 = b + b. Suppose -5*a + 4*l + 334 = -0*a, b = -a + 3*l + 69. Let x = -46 + a. Calculate the remainder when 57 is divided by x.
17
Let q be 4*5/((-40)/6). Let l be 43 - q/((-6)/4). Let t = l + -29. What is the remainder when 46 is divided by t?
10
Suppose -f + p + 96 = 0, 2*f - 5*f - 4*p + 288 = 0. What is the remainder when f is divided by 26?
18
Let k = -38 + 63. Let m(u) = u**3 + 7*u**2 - 2*u - 8. Let x be m(-7). Suppose 5*b = -x + 41. Calculate the remainder when k is divided by b.
4
Let i = -2 + 36. Suppose 4*s - i = 66. Suppose -4*w - 2*d = 3*d - s, 3*d = -3*w + 21. What is the remainder when 39 is divided by w?
9
Let b(n) = 45*n - 627. What is the remainder when 153 is divided by b(17)?
15
Suppose -3*t + 6 = -2*t. Suppose c - 81 = -4*u + 2, 0 = -3*c - 3. What is the remainder when u is divided by t?
3
Let b(z) = z**3 - 10*z**2 - 33*z + 30. What is the remainder when b(14) is divided by 59?
57
Let y = 304 - 296. What is the remainder when 343 is divided by y?
7
Let l = -440 + 495. Let a = 22 + -8. What is the remainder when l is divided by a?
13
Let z = 10 - 5. Suppose -13 = -5*u + 17. What is the remainder when 2*z/((-5)/(-13)) is divided by u?
2
Suppose -3*f - 4*q - 60 = -4*f, -4*q - 16 = 0. Calculate the remainder when f is divided by 1504/(-235)*30/(-8).
20
Suppose -19*s + 832 = -6*s. Calculate the remainder when 510 is divided by s.
62
Suppose 3*k + 2 - 8 = 0. Suppose -k*h + 5*i + 16 = -2, -3*h - i = -10. Let s(z) = z**2 - 3*z. Calculate the remainder when s(5) is divided by h.
2
Suppose -46*c - 274 + 7128 = 0. Calculate the remainder when c is divided by 138.
11
What is the remainder when 12/16*(-1)/((-3)/1068) is divided by 5?
2
Suppose 10*f = 902 + 238. What is the remainder when f is divided by 20?
14
Suppose 25*u - 44 = 14*u. What is the remainder when 129 is divided by u?
1
Let c be (12/10)/(1/50). Suppose 4*r = -4*m + c, 5*r = 8*m - 3*m - 85. Calculate the remainder when m is divided by 9.
7
Let x(a) = -2*a + 94. What is the remainder when 422 is divided by x(-6)?
104
Suppose 2*j - 3*a = 2, -5*j + 25 = -2*j + a. Calculate the remainder when -4 + 1035/35 - (-3)/j is divided by 2/4 + 13/2.
5
Suppose 4*y + 3*b + 23 = 353, 0 = -4*y - 4*b + 328. Calculate the remainder when y is divided by 82.
2
Suppose 2*f - 3 = f. Suppose f*p = -4*c + 123, 2*p + 0*c = 2*c + 68. What is the remainder when 72 is divided by p?
35
Let h be -2*(-3)/(-12) - 687/(-6). Let l = -50 + h. What is the remainder when l is divided by 17?
13
Suppose -9*r - 3*c = -12*r + 60, -r + 5*c + 28 = 0. Calculate the remainder when r is divided by 3.
0
Suppose 66 = 7*p - 802. What is the remainder when p is divided by 43?
38
Suppose -63*i = -62*i - 21. Calculate the remainder when 60 is divided by i.
18
Suppose 0 = 3*n + 2*p - 421, 42 + 512 = 4*n - p. What is the remainder when n is divided by 12?
7
Suppose 0 = -2*h + 4*k + 43 + 61, -4*h + k + 194 = 0. Calculate the remainder when 84 is divided by h.
36
What is the remainder when (114*(-55)/(-30))/(-1 - -2) is divided by 3?
2
Let x(d) = -7 - d - 4*d**2 + 12*d + 3*d**2 + 4*d. Suppose 8*c - 2*m - 54 = 3*c, -3*c + 4*m = -24. What is the remainder when c is divided by x(14)?
5
Let y = 41 - 26. Suppose 5*q = -4*h + 61 + y, q + 124 = 5*h. Calculate the remainder when h is divided by 9.
6
Suppose 2*w - 4*j + 3 = -1, 2*j + 10 = -w. Let r(f) = -f**2 - 12*f - 9. Suppose 8*s - 27*s + 133 = 0. Calculate the remainder when r(w) is divided by s.
6
Calculate the remainder when 289 is divided by -1 - 2 - (15 - 21).
1
Let l(k) = k**2 - 11*k + 25. Let h be l(6). What is the remainder when h + 28 - (-5 + (-2)/(-2)) is divided by 20?
7
Suppose -3*r = -4*l + 5 + 34, -3*l + 42 = 2*r. What is the remainder when 155 is divided by l?
11
Calculate the remainder when (24/30)/((-192)/(-95) + -2) is divided by 10.
8
Let u be 12/(-24) + (-9)/(-2). Let y(n) be the first derivative of n**2/2 - 3*n - 1. Calculate the remainder when 1 is divided by y(u).
0
Suppose 0*g - g = -64. Suppose 0 = -32*t + 29*t - 36. Let c(x) = -x**3 - 11*x**2 + 11*x - 1. Calculate the remainder when g is divided by c(t).
9
Suppose 0 = -24*z + 773 - 5. What is the remainder when z is divided by ((-2)/2)/((-8)/104)?
6
Calculate the remainder when 351 is divided by 16 - ((-66)/44 - 39/(-6)).
10
Let k(d) = d**2 + d + 248. Let t = 10 + -10. Let p be k(t). What is the remainder when p/(-12)*(-9)/6 is divided by 8?
7
Let q(d) = -d**3 - 10*d**2 - 11*d - 7. Let i be q(-9). Suppose -12 = 2*w - 5*z, 51 = 5*w + 5*z + i. Calculate the remainder when 11 is divided by w.
3
Let t be -6 + 80/8 + 99/(-3). Suppose 2*c - 56 = 4*c - 2*v, 15 = 5*v. Let m = c - t. Calculate the remainder when 13 is divided by m.
1
Suppose 176*l = 510 + 3279 + 1843. Let g(i) = -92*i**3 + 2*i**2 - 1. Calculate the remainder when g(-1) is divided by l.
29
Suppose -2*w + 313 = -85. Let q = -629 + 669. What is the re