nder when 172 is divided by n.
20
Suppose 2 = 9*n + 11. Let h = -26 + 71. What is the remainder when h is divided by 3/(-3) - n - -16?
13
Suppose 4*h = 3*y + 986, -3*h = -y - 481 - 261. Calculate the remainder when h is divided by 25.
23
Suppose 60 = 5*a - 5*c, 2*a - 4*c + 6 = 36. Let o = 35 + -10. What is the remainder when o is divided by a?
7
Let m(t) = t**2 + 10*t - 55. What is the remainder when 193 is divided by m(7)?
1
Suppose 0 = -r + 3*n - 6*n + 50, 5*r - 302 = -2*n. Let g(f) = f**2 + 21. Let x be (0 - 3/6)*(-2 + 2). Calculate the remainder when r is divided by g(x).
20
Let t be ((-68)/(-18) - -1) + (-2)/(-9). Suppose t*x + 0*x = 3*b - 52, 4*b - 2*x = 60. What is the remainder when 110 is divided by b?
12
Let r(u) = -u**3 + 13*u**2 + 34. Let k be (3/(-6)*-52)/2. What is the remainder when r(k) is divided by 7?
6
Let s(h) = 2*h**2 - 7*h - 12. Let z be s(10). Suppose z = 3*n - p, -3*n = n - 2*p - 158. Calculate the remainder when n is divided by 10.
9
Let h = 15 - 13. Calculate the remainder when 56 + (-1 + h)*-2 is divided by 14.
12
Suppose -4*v + 134 = -3*v. Suppose 2*b = 2*o - 6 - v, -3*b = 3*o - 228. What is the remainder when o is divided by 25?
23
Let b(n) = 20*n - 2. Suppose 2*o = -o + 3. Let z be b(o). Suppose -6*x + z = -4*x. Calculate the remainder when x is divided by 4.
1
Suppose 4*g - 4*h + 20 = 3*g, h - 3 = 0. Let z be 7/2 - (-12)/g. Suppose z*n + 0*n = 8. What is the remainder when 7 is divided by n?
3
Let g = 12 + 1. Let w be (-56)/5*10/(-4). Calculate the remainder when w/(-14) - 78/(-2) is divided by g.
11
Let m(t) be the first derivative of t**2 + 2*t - 47. Calculate the remainder when m(7) is divided by 11.
5
Let n(t) = t**2 - t - 2. Let d be n(-2). Suppose 3*g - a = 55, 0 = d*g - 0*a - 2*a - 74. Calculate the remainder when g is divided by 2*-1 + (1 - -11).
8
Let d(z) = z**2 + 2*z + 18. What is the remainder when 86 is divided by d(-5)?
20
Let p be 0 - 2*170/(-2). Suppose p = 5*v - 0*v + d, 0 = 5*v + 2*d - 170. Let w = 272 + -260. What is the remainder when v is divided by w?
10
Suppose 7*v - 7 - 14 = 0. Suppose j + v*j - 44 = 0. What is the remainder when 51 is divided by j?
7
Calculate the remainder when 184 is divided by 81/5 - (4 - 133/35).
8
Let g(r) = -r**2 + r + 4. Let l be g(2). Calculate the remainder when 38 is divided by (-1)/(((-33)/176)/(3/l)).
6
Suppose -9 = -3*g - 24, -4*g = -3*u + 128. What is the remainder when u is divided by 2/3 - (-74)/6?
10
Let c(v) = -4*v - 3. Let n be c(5). Let r = 33 - 42. Let h = r - n. What is the remainder when 41 is divided by h?
13
Suppose 472 = -11*u - 342. Let b = -54 - u. Calculate the remainder when 38 is divided by b.
18
Let i(t) = t**2 + 11*t + 32. Let q be i(-12). Let m = q + -11. What is the remainder when m is divided by 7?
5
Let f(u) = u - 3. Let s be f(-2). What is the remainder when (-2)/s + 3456/60 is divided by 9?
4
Calculate the remainder when 548 is divided by 11798/510 + 4/(-30).
19
What is the remainder when 25 is divided by (-1189)/(-203) + 16/14?
4
Suppose 16*y - 3 - 29 = 0. What is the remainder when 58 - (y + (2 - 1)) is divided by 19?
17
Suppose 0 = -0*g + 11*g - 407. Suppose -2*f = -2*l - 20, 5*f + 3*l - 80 = -2*l. What is the remainder when g is divided by f?
11
Let h = -9 + 15. Suppose h*n = 5*n - a + 36, 5*n + 2*a - 186 = 0. Calculate the remainder when n is divided by 20.
18
Suppose 0 = 2*t + 2*h - 1066, -2*h = 7 + 1. What is the remainder when t is divided by 30?
27
Suppose 0 = -8*w + 126 + 10. Calculate the remainder when 131 is divided by w.
12
Suppose -3*g = 3*p - 603, 0*g + 3*g - 400 = -2*p. Let y(d) = d**3 + 7*d**2 - 450*d + 34. Calculate the remainder when p is divided by y(18).
33
Let b be -1 + (-52)/(-4) - 2. Suppose -3*d = -2*m - 0*m - 40, b = -d - 4*m. Let o(c) = -c**3 - 10*c**2 - 11*c. What is the remainder when o(-9) is divided by d?
8
Let c(x) = 3*x**3 + x**2 + 5. Let a(y) = 10*y**3 + 3*y**2 + 14. Let o(n) = -2*a(n) + 7*c(n). Calculate the remainder when 40 is divided by o(0).
5
Let d(i) = i + 2. Let u be d(-11). Let k = u - -15. Suppose 48 - 153 = -5*c. What is the remainder when c is divided by k?
3
Suppose 0 = 3*b - 0 - 9. Suppose b*s - s = 0. Suppose 0*u - 2*u + 142 = s. What is the remainder when u is divided by 12?
11
Let q(x) = x**2 - 5*x + 4. Let t be q(5). Suppose t*a - 61 = 7. Let b = 106 + -73. Calculate the remainder when b is divided by a.
16
Let r be ((-3)/(-1))/(1/39) + 3. Suppose 0 = -4*g + r + 96. What is the remainder when g is divided by 11?
10
Calculate the remainder when 121 is divided by (-74)/4*(-5 - -8 - 5).
10
Let z(l) = 5*l**3 + l**2. Let y be z(2). Suppose 2*h - y = -0*h. What is the remainder when 63 is divided by h?
19
Suppose 5*w + 3*s - 37 = 0, 0 - 5 = 5*s. Suppose 0 = -5*o + 5*r, 2*o - 3*o = -4*r + 9. Let p = w - o. What is the remainder when 13 is divided by p?
3
Suppose 0 = -2*k - x - 6 + 8, 3*x + 21 = 3*k. Suppose 0 = 5*v + r - 60, 8*v = 4*v + r + 48. Calculate the remainder when v is divided by k.
0
Let b(l) = -21*l - 131. Calculate the remainder when 654 is divided by b(-7).
14
Suppose 3241 = 4*x - d, 3*x = 70*d - 69*d + 2431. What is the remainder when x is divided by 58?
56
Let z = 6 + -17. Let t = -9 - z. Suppose 0 = -t*v + 6*v - 8. What is the remainder when 6 is divided by v?
0
Let j = 122 + -109. What is the remainder when 103 is divided by j?
12
Let r(i) = 2*i**2 - 3*i + 6. What is the remainder when r(5) is divided by ((88/(-6))/2)/(21/((-693)/22))?
8
Let n = -866 - -904. What is the remainder when 567 is divided by n?
35
What is the remainder when 30*((-22)/(-110))/(2/28) is divided by 17?
16
Suppose 0 = -a, 2*f + a - 48 = -0*f. Suppose 3*d - f - 9 = 0. What is the remainder when 39 is divided by d?
6
Suppose -14*x + 1404 = -2*x. What is the remainder when x is divided by 12?
9
Let u(j) = j**3 - 61*j**2 + 57*j + 222. What is the remainder when 78 is divided by u(60)?
36
What is the remainder when 3/(27/6) + (-110)/(-6) is divided by 4/(-6) + 224/48?
3
Let x(h) = h**3 - 2*h**2 - 4*h - 2. Let b(m) = -m**3 + 5*m**2 + m - 6. Calculate the remainder when x(5) is divided by b(4).
11
Let v(a) = -5*a**3 + 7*a**2 + 3*a - 4. Let m(n) = 10*n**3 - 15*n**2 - 7*n + 8. Let r(p) = -3*m(p) - 7*v(p). What is the remainder when 81 is divided by r(2)?
25
Suppose 6*d - 2 = -14. Let u = 42 + d. What is the remainder when u is divided by 7?
5
Suppose 2*q - q = 4. Suppose -363 = -q*t - 0*f + f, 454 = 5*t - f. What is the remainder when t is divided by 23?
22
Suppose -5*k - 3*w + 300 = 0, -13*w - 180 = -3*k - 17*w. What is the remainder when 657 is divided by k?
57
Suppose 0 = -4*y + 4*b + 12, 0 = -4*y - y - 3*b + 39. Let r(a) = y*a - 10 + 6 + 3. Calculate the remainder when r(7) is divided by 11.
8
Suppose 2*y + 35 + 46 = 5*q, 0 = q - 4*y - 27. Suppose 12*a - q*a + 147 = 0. What is the remainder when a is divided by 13?
10
Let a(w) = -17*w + 8. What is the remainder when a(-4) is divided by 21?
13
Let j = 79 - 70. Suppose 3*k - 17 - 49 = 0. What is the remainder when k is divided by j?
4
Let u(m) = 2*m + 11. Let q be u(-8). Let p be (-9)/(-3) + q + 57. Suppose b + 4*b - p = 0. What is the remainder when 20 is divided by b?
9
Suppose -3*y - 1653 = -32*y. What is the remainder when 68 is divided by y?
11
Suppose 352 = -5*f + 3*x, 5*f - x + 167 = -187. Let p = -12 - f. Calculate the remainder when p is divided by 21.
17
Let j = 379 - 318. What is the remainder when 155 is divided by j?
33
Let x(n) = -n**3 - 2*n**2 - 5. Suppose -3*r + u = 5*u - 74, -u = 4*r - 77. Calculate the remainder when x(-5) is divided by r.
16
What is the remainder when (6/(-4))/(24/(-5664)) is divided by 89?
87
Suppose p + 0*p - 50 = 0. Suppose -3*f = -4*h + 115, 0 = 2*f + 3*h + p + 4. Let b = 39 + f. Calculate the remainder when b is divided by 2.
0
Suppose -7 = -l - 3*x + 3, -3*l - 20 = -x. Calculate the remainder when 2872/40 - (-4)/l is divided by 24.
23
Suppose 0*a + 4*a - 4*i = 32, -5*i - 30 = -4*a. What is the remainder when (-259 + a)*(-1)/3 is divided by 29?
25
Let b(g) = 6*g + 121. What is the remainder when 135 is divided by b(-12)?
37
Let x(t) = 6*t - 2. What is the remainder when x(4) is divided by (1356/168 + -9)*-14?
9
Calculate the remainder when 14*66/(-88)*148/(-6) is divided by 8.
3
Let o = -844 + 963. What is the