y (z + 1 + -2)*5.
14
Suppose 27*g - 270 = 513. Calculate the remainder when 206 is divided by g.
3
Suppose 4*x - 237 = q + 299, -4*x = 2*q - 548. Calculate the remainder when x is divided by 46.
43
Let b(q) = q**3 - 16*q**2 + 32*q - 193. Calculate the remainder when 150 is divided by b(15).
26
Suppose 102 + 98 = 5*d. Let u(s) = s**3 + 3*s**2 - 1. Let n be u(-2). Suppose n*r + r - 56 = 0. Calculate the remainder when d is divided by r.
12
Suppose 0 = -632*z + 626*z + 222. Calculate the remainder when 103 is divided by z.
29
Let f(v) = v**3 - 5*v**2 + 4*v + 7. Suppose -21 - 27 = -12*z. Calculate the remainder when 24 is divided by f(z).
3
Let p(t) = 19*t - 315. Calculate the remainder when p(39) is divided by 86.
82
Suppose -18*w + 9*w = -468. Let x = -158 + 173. What is the remainder when w is divided by x?
7
Let d = -180 + 375. What is the remainder when d is divided by 14?
13
Suppose -15*b + 1885 = -10*b. Calculate the remainder when b is divided by 19.
16
Suppose 0 = 86*s - 78*s - 304. What is the remainder when 159 is divided by s?
7
Suppose w + 0*w = 65. What is the remainder when w is divided by 134/8 + (-2)/(-8)?
14
What is the remainder when 175 is divided by 5/(8 - 155/20)?
15
Let y(v) = v**3 - v**2 + v + 2. Let z = -2 + 4. Calculate the remainder when y(z) is divided by (1 - (3 - 3))*5.
3
Let q(u) = 3*u**2 - 7*u + 9. Let f(a) = a**2 - 13*a + 16. Let t be f(11). Let i be (-4)/(2 + t)*5. What is the remainder when q(i) is divided by 25?
24
Suppose -4*r = -2*h + 478, 4*h - 506 = -4*r + 414. Calculate the remainder when h is divided by 13.
12
Suppose 0 = 5*a - 5*r - 230, -3*r - 79 = -2*a + 8. Let u(w) = 49*w + 2 - 43*w + 0 + w**2. What is the remainder when a is divided by u(-8)?
15
Let s be ((-594)/15)/(6/20). Let g = 110 - 106. Calculate the remainder when (-8868)/s + g/(-22) is divided by 23.
21
Let n = -116 - -172. Calculate the remainder when 166 is divided by n.
54
Let n = 91 - 30. Calculate the remainder when n is divided by 14.
5
Suppose l + 17 = -4*c + 115, -64 = -3*c + 4*l. What is the remainder when c is divided by (15/(-2))/(15/(-20))?
4
Let m(b) = -b**3 - b**2 + 4*b - 1. Let q = -43 + 40. What is the remainder when 39 is divided by m(q)?
4
Suppose 14*f = -s + 17*f + 30, 3*s - 2*f - 62 = 0. What is the remainder when 67 is divided by s?
13
Let x(g) = -g + 15. Suppose 2*s + 4 = 8. Let a be 1 + (3 - (-3 + s)). What is the remainder when 19 is divided by x(a)?
9
Let j = -294 - -336. What is the remainder when 495 is divided by j?
33
Let l be (-6)/(-45) - (-2611)/105. Let m = l - 4. Calculate the remainder when m is divided by 14.
7
Suppose -s - 3*s + 2*r + 26 = 0, -s + 4*r = -10. Suppose s*f = f. Suppose -4*x + 21 + 7 = f. Calculate the remainder when 27 is divided by x.
6
Let y = -8679 + 8918. Suppose 2*o - 6*o = -64. Calculate the remainder when y is divided by o.
15
Suppose -20 = 4*n + 32. Let i = n + 17. What is the remainder when 214/i + 6/(-12) is divided by 18?
17
Suppose 0 = 57*y - 9*y - 3888. What is the remainder when y is divided by 43?
38
Let d(f) = -4*f + 26 - 2*f + 3*f. What is the remainder when d(4) is divided by 8?
6
Let v(l) be the third derivative of -2*l**2 + 1/20*l**5 + 0*l + 0*l**3 + 0 - 1/12*l**4. Calculate the remainder when v(3) is divided by 8.
5
Let b(f) = 7*f**2 - 5*f - 85. What is the remainder when b(-6) is divided by 99?
98
Suppose 0*b = 4*b. Suppose 4*p + 2*l - 208 = -b*p, 0 = 4*l. What is the remainder when p is divided by 9?
7
Suppose 2*h - 6*h + 100 = 0. Let z = -12 - -15. Suppose -b - z*b = 0, -2*j + 14 = 2*b. Calculate the remainder when h is divided by j.
4
Suppose -5*g + 70 = 4*w, 0*w - 5*w = 0. What is the remainder when g is divided by 11 - (-9 + -1 + 14)?
0
Suppose 140 = 3*c - 127. What is the remainder when c is divided by 13?
11
Let p be (0 - -6)/(-2) - 0. What is the remainder when -4 + (121 - p) - -3 is divided by 42?
39
Suppose 3*q + 2*n = 402, 5*q - 8*n = -7*n + 670. Calculate the remainder when q is divided by 27.
26
Let b = -3 + 15. Let k be (0 - -1)*(5 + -2). Suppose 120 = 3*l + k*q, -3*q = 2*l - 0*q - 85. What is the remainder when l is divided by b?
11
Calculate the remainder when 64 is divided by (-42)/(-12)*(-3 + 5)*2.
8
Suppose -15*q + 91 = -179. Calculate the remainder when 215 is divided by q.
17
Let n(j) = -3*j - 26. Let l be 6/(-33) - 194/22. What is the remainder when 1 is divided by n(l)?
0
Let i be 12 - -4*(-15)/20. Suppose 0 = -11*m + 12*m - i. What is the remainder when 42 is divided by m?
6
Let i = -31 - -56. Let w = 47 - 43. Suppose -w*v = -3*x - 37 - 21, x - 50 = -4*v. What is the remainder when i is divided by v?
12
Let j(f) = f**3 - 28*f + 36. What is the remainder when 587 is divided by j(5)?
20
Suppose -4 = -2*q, 19*l - 14*l - 165 = 5*q. What is the remainder when l is divided by 33?
2
Let i = 32 + -29. Suppose -5*f - 31 = -2*g + 69, i*f = -6. What is the remainder when g is divided by 24?
21
Suppose 329 = 3*l + 2*m - 111, 4*l = 5*m + 625. Suppose l = 5*g - 40. What is the remainder when g is divided by 13?
12
Let n(m) = -m**3 + 12*m**2 + 8. What is the remainder when (12/20)/(((-6)/(-75))/2) is divided by n(12)?
7
Suppose 10*i = 6*i + 8. Suppose 4*t - u - 27 = 0, -2*t - 5*u = -u - 36. Calculate the remainder when t is divided by i.
0
Suppose -i = -0*i - 90. Let q = i + 16. Calculate the remainder when q is divided by 27.
25
Let p(c) = c**2 - 6*c + 5. Let j be p(4). What is the remainder when (-79)/j - 3/9 is divided by (-130)/(-18) + (-18)/81?
5
Suppose 5*p - 55 = 25. What is the remainder when p is divided by 5?
1
Let b(q) = 2*q - 18. Let t be b(13). Suppose 18 = z - t. What is the remainder when z is divided by 7?
5
Let u = -1 - -5. Suppose -52 = -4*l - l + u*r, l - 2 = -2*r. What is the remainder when l is divided by 5?
3
Suppose 4*v + 11 = -37. Let x be (5 - 6)/(2/v). Suppose 3*d = x*d - 18. What is the remainder when 11 is divided by d?
5
Let d(t) = 2*t**3 - 69*t**2 + 35*t + 27. Calculate the remainder when 119 is divided by d(34).
58
Let l(d) = 15*d - 18. Suppose -2*h - 4 = 3*i - 6*i, -i + 16 = 3*h. Suppose 4*f = 6*f - 30. Calculate the remainder when l(i) is divided by f.
12
Suppose -4*p + 18*p = 504. Calculate the remainder when 131 is divided by p.
23
Suppose t = 5*h + 15, 3*t + h + 3 = -t. Suppose t = -2*x + 27 + 65. Calculate the remainder when x is divided by 8.
6
Let k = -55 + 148. What is the remainder when k is divided by 49?
44
Let b(y) = -y**3 + 3*y**2 - y + 2. Let m = 0 - -2. Suppose 6 = -m*l, -67 = -5*p - l + 15. What is the remainder when p is divided by b(2)?
1
Let c be (-29)/3 + 8/12. Let f be -12*(4 - c/(-2)). What is the remainder when (-3 + 0)/(f/(-68)) is divided by 9?
7
Suppose 4*a + 8 = -2*x, 6*x + 3*a = x + 8. What is the remainder when 50 is divided by x?
2
Suppose 3*a - 18 = -6. Let i(g) = 3 - a*g + 2 + 0 - g**2. Calculate the remainder when 21 is divided by i(-3).
5
Suppose 0*t + 24 = 3*t. Suppose -242 = -145*i + 134*i. Calculate the remainder when i is divided by t.
6
Let k be ((14 + -2)/4)/(-1). What is the remainder when 127 is divided by (-97)/k - (1 - (-6)/(-9))?
31
Suppose -3*z + 3*s = -138, 112 = 7*z - 5*z + 3*s. What is the remainder when 398 is divided by z?
48
Suppose 5*l = -25, -5*j + 637 + 313 = 4*l. What is the remainder when j is divided by 33?
29
Let z(i) = -i**3 + i + 1. Let s be z(-2). Let p(l) = 2*l + 11. Suppose -9 = t - 4*o, -3*t + 5 = 2*o - 6*o. What is the remainder when p(s) is divided by t?
4
Suppose -z - 5*v + 8 + 11 = 0, 0 = -5*z + 5*v + 155. Calculate the remainder when 106 is divided by z.
19
Suppose 2*h - 50 = -0*h. Let m = 2002 - 2000. Suppose 125 = m*q - h. Calculate the remainder when q is divided by 19.
18
Let x(h) = 0 + h + 2 + 3 - 2*h. Let n be x(-11). Suppose 5*i - 4*i = 5*s + n, 2*i = 2*s + 16. What is the remainder when i is divided by 2?
0
Let d(p) = -p**3 + 16*p**2 - 11*p - 20. Let y be d(15). Suppose 5*x = -3*l + 30, 5*l - y = l - x. What is the remainder when 36 is divided by l?
6
Let s = -702 - -769. Calculate the remainder when s is divided by 17.
16
Calculate the remainder when (-5 + 4)/((-1)/14) is divided by (-3 - -2)/((-5)/45).
5
Let y(q) = 4*q - 6. What is the remainder when 1393 is divided by y(10)?
33
Suppose 6*k - 8*k + 382 = 0. Let s = k + -87. What is the remainder whe