
14
Suppose -7*m + 5*n + 41 = -3*m, 0 = 5*n - 15. Suppose -4*i = -11 - 5. Suppose i*g + g - 245 = 0. Calculate the remainder when g is divided by m.
7
Let g be -105 - 3*5/(-3). Let u = g + 154. What is the remainder when u is divided by 8?
6
Let y = -1766 - -1879. What is the remainder when 1692 is divided by y?
110
Let j be (-12)/(-2) - (2 + 1). Suppose -208 = 2*p - j*p. Suppose -3*q - 132 = -3*a, 5*a = a - 4*q + p. What is the remainder when a is divided by 10?
8
Suppose 2*z - 4 = -10, 0 = 3*u - 3*z - 48. Let m = 18 - u. Suppose -4*l - 7 = -4*j - 39, 44 = m*l - 3*j. What is the remainder when 39 is divided by l?
9
Suppose -q = -5*t - 61, 4*q - 298 = t + t. Calculate the remainder when q is divided by 10.
6
Let c be (-122 + 0 + -2)/(-1). Suppose -l = l - c. Suppose -2*s - t + 22 = t, -2*t = 10. Calculate the remainder when l is divided by s.
14
Suppose -f = 3*k - 15, -2*f + 15 = -0*f + k. What is the remainder when (-1)/(-2) - (-321)/6 is divided by 22 - (-3 - f*-1)?
16
Suppose -2*n + 5*h = -307, -2*n + 156 = -n - 2*h. Calculate the remainder when n is divided by 12.
10
Let v = -806 - -864. Calculate the remainder when 985 is divided by v.
57
Let o = 36 - 34. Suppose 21 = o*j + 3. Calculate the remainder when 34 is divided by j.
7
Let p(w) be the first derivative of 7*w**2 - 5*w + 17. Calculate the remainder when 91 is divided by p(2).
22
Let s(p) = -p**2 - 6*p + 2. Let t be s(-6). Suppose k - 2 = -3, t*c - 2*k = 16. Let h = c + 0. What is the remainder when 18 is divided by h?
4
Let t(v) = 2*v**2 + 7*v + 27. Let q be t(12). Calculate the remainder when 114/q + ((-2292)/14)/(-1) is divided by 21.
17
Let b(l) = -l**3 + 15*l**2 + 23*l - 39. Calculate the remainder when b(16) is divided by 16.
9
Let k(y) = -2*y - 10. Let f be k(-6). Suppose 4 = p, 0*p = -4*j + f*p + 196. Calculate the remainder when j is divided by 78/3 + 1 + -1.
25
Let t = 98 + -83. Suppose 2*u - u + 2*l = t, -2*u - 2*l = -28. What is the remainder when 61 is divided by u?
9
Let d(p) = p**3 + 17*p**2 + p - 13. Let w be d(-17). Let m = -28 - w. Calculate the remainder when 6 is divided by m.
0
Let r be (-6)/9 - (-4)/(-3). Let y(o) = -2*o**3 - 3*o - 1. Suppose -31*w = -36*w + 200. Calculate the remainder when w is divided by y(r).
19
Let q = 152 + 31. Calculate the remainder when q is divided by 33.
18
Calculate the remainder when 44 is divided by (-20)/15*(-117)/12.
5
Let f = -39 + 24. What is the remainder when (-10)/f*9*4 is divided by 14?
10
Let o(c) = c**3 - 25*c**2 - 8*c - 113. What is the remainder when o(26) is divided by 11?
3
What is the remainder when ((7308/(-24))/(-3))/(3/6) is divided by 39?
8
Let f be 2/8 + (-250)/8. Let h = 34 + f. Let g(p) = p**2 + 4*p + 2. What is the remainder when h is divided by g(-4)?
1
Suppose 4*q = -0*q + 3*s - 1660, -1692 = 4*q + 5*s. Let v = -265 - q. What is the remainder when v is divided by 12?
9
Let j be (120/(-25))/(6/(-80)). Suppose 3*l + 75 + 21 = -5*a, 4*a - 4*l + j = 0. Let m = a - -25. What is the remainder when 25 is divided by m?
4
Let k = 371 - 349. What is the remainder when k is divided by 5?
2
Calculate the remainder when 20 is divided by 7 + -1 + (-132 - -129).
2
Suppose 0 = 6*v + 6*v. Calculate the remainder when (v - 1)/(1/(-29)) is divided by 16.
13
Let w be (3 + -1)/(-2)*-2. What is the remainder when 8/(-4) + (-1 - -64) is divided by -3 - (4 - (w + 21))?
13
Suppose 3*r = -2*u + 325, -r + 0*u + 111 = 2*u. Calculate the remainder when r is divided by 1 - 1*70/(-2).
35
Suppose -4*p = -0*p. Suppose 4*t = 4*o - p*o + 56, 0 = 4*t + 4*o - 88. Let v(j) = 7*j**2 - j + 1. What is the remainder when t is divided by v(1)?
4
Let y = 24 + -15. Let n(h) = -2*h**2 - 43*h - 15. Let f be n(-21). Suppose y*c - f*c - 60 = 0. What is the remainder when 58 is divided by c?
18
Suppose 5*o - o - 16 = 0. Suppose -2*h - 4*m = 32 + 22, o*h - 2*m = -138. Let w = h + 56. Calculate the remainder when 45 is divided by w.
22
Let q(k) = 5*k + 41. Let y be q(11). Calculate the remainder when 9 is divided by (-75)/125 - y/(-10).
0
Suppose 3*n - 8 = 1. Suppose 32 = 2*t - 4*x, 5*x = n*t - 35 - 18. What is the remainder when t is divided by 7?
5
Let f be ((-4)/3)/(4/36). Suppose 0 = -3*c - h + 2 + 42, -26 = -2*c - 4*h. Calculate the remainder when c is divided by f*((-9)/2 + 4).
3
Let v(q) = -q**2 + 20*q + 22. Let h be v(19). Let i = h + -7. What is the remainder when i is divided by 9?
7
What is the remainder when (140/(-21))/5*-309 is divided by 52?
48
Let j(d) = 26*d**2 - 7*d - 20. What is the remainder when j(-3) is divided by 14?
11
Let x(w) = -21*w + 126. Calculate the remainder when x(3) is divided by 31.
1
Let g be 1/(366/(-1428) + 4/14). Let v = 18 + g. Calculate the remainder when v is divided by 27.
25
Let o be 1/2 - 18/(-4). Suppose o*d = 128 + 57. Calculate the remainder when d is divided by 22.
15
Suppose 27*u - 21*u - 324 = 0. Calculate the remainder when 485 is divided by u.
53
Let d(z) = 3*z**2 - 2*z - 1. Let m be d(-1). Suppose m = -q + 2, -5*q + 20 = i. Suppose 15*t = 1121 + 214. What is the remainder when t is divided by i?
29
Let g = -48 - -90. What is the remainder when g is divided by 8?
2
What is the remainder when (-486)/(-10) + (-44)/(-110) + -1 is divided by 48?
0
Let l = 414 - 136. What is the remainder when l is divided by 47?
43
Suppose -15*j = -55*j + 1920. Calculate the remainder when 158 is divided by j.
14
Let p(j) = 3*j**2 + 2*j + 2. Let z(u) = u + 19. Suppose 11*t - 5*t + 96 = 0. Calculate the remainder when p(-2) is divided by z(t).
1
Let v = 14 - 6. Suppose -9*k + 168 = -12*k. Let r = k + 77. Calculate the remainder when r is divided by v.
5
Let q = 2484 + -2481. Let b(p) = -p**3 + 3*p**2 - 1. Let y be b(2). Suppose 0 = o + y*o - 40. What is the remainder when o is divided by q?
1
Let i(y) = y**3 - 16*y**2 - 2*y + 58. Calculate the remainder when 123 is divided by i(16).
19
Suppose -1 - 3 = 4*a. Let g = 158314 + -158308. Calculate the remainder when (-4)/5*20/a is divided by g.
4
Let l(c) = 4*c - 45. What is the remainder when 582 is divided by l(16)?
12
Suppose 54 = 4*l - 10. Suppose -199 + 31 = -4*c. What is the remainder when c is divided by l?
10
Let z(g) = g - 16. Let a(u) = u + 16. Let p(f) = 3*a(f) + 2*z(f). What is the remainder when 4 is divided by p(-3)?
0
Suppose 0 = -11*n - 112 + 2631. Calculate the remainder when n is divided by 21.
19
Suppose -4*h = -3*h - 2. Suppose 0*x - h*x + 138 = 4*b, 5*x = -3*b + 107. What is the remainder when 132 is divided by b?
30
Calculate the remainder when 2/4 + (-14093)/(-34) is divided by 110.
85
Suppose -2*x = 4*w - 588, -4*x = -w - 1647 + 453. What is the remainder when x is divided by 60?
58
Let z be (-1 + 17)*(-4)/(-8). Suppose -z*c + 13*c + 70 = 0. Let n = -11 - c. Calculate the remainder when n is divided by 2.
1
Let a = 39 - -24. What is the remainder when 250 is divided by a?
61
Let i(h) = -h**3 + 11*h**2 - 6*h. Let p = 84 + -74. What is the remainder when i(p) is divided by 15?
10
Let m(q) = q**2 - 9*q + 10. Let h be m(5). Let p = 1 - h. Calculate the remainder when 53 is divided by p.
9
Suppose -5*k + 662 - 557 = 0. What is the remainder when 28 is divided by k?
7
Suppose -3*k - 292*s = -293*s - 988, 4*s = 5*k - 1656. What is the remainder when k is divided by 48?
40
Let t be 0/((3 + 6)/(-3)). Suppose z + 4*b - 28 = t, 2*z - 20 = z + 4*b. Calculate the remainder when 92 is divided by z.
20
Let v(f) = -f**3 + 2*f**2 + 65*f + 10. Calculate the remainder when 55 is divided by v(9).
27
Suppose 5*i + 30 = -6*l + l, -3*i - l = 12. What is the remainder when 51 is divided by (-128)/(-5) - i/((-60)/(-8))?
25
Calculate the remainder when 8*((-114)/(-24) + 4) is divided by 15.
10
Let m(p) be the first derivative of -p**2/2 + 5*p - 3. Let y be m(-5). Suppose y = 3*j + 3*c - 47, 1 = -c. Calculate the remainder when 58 is divided by j.
18
Let b be 5/(20/5 - 5). What is the remainder when (b - (-3232)/20) + (-4)/(-10) is divided by 40?
37
Suppose -4*p + 4*u = -0*p - 76, 0 = 4*u. Suppose 0*f + 3*j + 227 = 4*f, 3*f - 3*j - 174 = 0. What is the remainder when f is divided by p?
15
Let m = 462 - 446. What is the remainder when 30 is divided by m?
14
Let x(w) = 2*w**2 + 5*w + 7. Suppose 2*s - 260 = -3*s. Calculate the remainder when s is divided by x(1).
10
Let v = -4122 - -