emainder when 176 is divided by t.
8
Let i = -5 + 9. Let f(k) = k**3 - 3*k**2 - 5*k + 4. Let h be f(i). Suppose h*b - 18 = -3*b. Calculate the remainder when b is divided by 2.
0
Let o = -613 - -647. Calculate the remainder when o is divided by 21.
13
Suppose 5*i - 3*t + 5*t - 667 = 0, 16 = -4*t. What is the remainder when i is divided by 20?
15
Suppose 0 = 5*j - 5*t - 1060, -5*j + 2*t - 5*t + 1068 = 0. What is the remainder when j is divided by 31?
27
Let q = -87 + 129. Calculate the remainder when 461 is divided by q.
41
Suppose 18*b - 2050 = 1010. Calculate the remainder when b is divided by 43.
41
Let m(f) = f**3 - 11*f**2 - 7*f - 56. Calculate the remainder when 35 is divided by m(12).
3
Let i(n) = 8*n + 50. What is the remainder when 114 is divided by i(-5)?
4
Let t(p) = -p**3 + 9*p**2 - 8*p - 34. Calculate the remainder when t(6) is divided by 10.
6
Let v = 950 - 656. Calculate the remainder when v is divided by 60.
54
Let b = 800 - 779. What is the remainder when 40 is divided by b?
19
Suppose -2*z = 4*w + 2, 0*w + 3*w = -z - 6. Suppose 0 = c + 7 - 1. Calculate the remainder when 24/18 - 202/c is divided by z.
8
Suppose -9*p = 2 - 29. Calculate the remainder when p is divided by 26/8 + 1/(-4).
0
Let n(m) = m**3 + 7*m**2 + 6*m + 1. Let d be n(-6). What is the remainder when 116 is divided by (-3)/(3/(-39)*d)?
38
Let x = 10 - -3. Suppose 45*i = 3*r + 44*i - 215, 0 = -3*r - 3*i + 219. What is the remainder when r is divided by x?
7
Suppose 3*s - 99 = -z, 0 = 4*s - 15*z + 10*z - 132. What is the remainder when 66 is divided by s?
0
Let w(a) = -a + 5. Suppose -4 = 2*u + 4*g, g = u - 3*g + 8. Let q = u - 7. What is the remainder when w(q) is divided by 7?
2
Suppose 0 = 6*y - 3*y - 2*d - 145, y - 53 = -4*d. What is the remainder when 155 is divided by y?
8
Suppose i + 2*u - 44 = -0*u, 3*u - 123 = -3*i. Calculate the remainder when 145 is divided by i.
31
Suppose -4*g + 2*g + 42 = -4*b, 2 = -2*b. What is the remainder when 111 is divided by g - (5 + -5 + 0)?
16
Suppose -t - 75 = -6*t. Calculate the remainder when ((-8)/12)/(3/(-117)) is divided by t.
11
Let k = 1701 - 1566. What is the remainder when k is divided by 41?
12
Let s(z) = 5*z - 3. Let d be s(3). Suppose 3*a = -3*k + 12, 2*a - a = -3*k + d. Suppose 3*f - 5*f + 16 = a. Calculate the remainder when 13 is divided by f.
5
Let k = 20 + -9. Let w(a) = 2*a - 17. What is the remainder when w(k) is divided by 1?
0
Let d = -188 - -88. Let u = -89 - d. What is the remainder when 119 is divided by u?
9
Suppose 3*i = 3, 2*k - 10*i + 12*i = 22. What is the remainder when 16 is divided by k?
6
Let i = -13 + 16. Let q be (8/(-20))/((-2)/(-50)). Let b = i - q. Calculate the remainder when 50 is divided by b.
11
Suppose -2*f = 5*t - 5, 5*t - 3*t + 26 = 2*f. Calculate the remainder when (8/(-3))/(1/(-6)) is divided by f.
6
Suppose -p + 3 = 5*x, -9 = -3*p + 5*x - 9*x. Suppose t + 28 = y - t, p*t = -4*y + 145. Calculate the remainder when 131 is divided by y.
29
Suppose z = 33 - 13. Suppose -3*l + z = l. Suppose 0 = -4*o + 34 - 22. What is the remainder when l is divided by o?
2
Let q be (-10)/4*(144/(-15) + 8). Suppose -3*s = -l - 284, q*s - 3*l - 490 = -118. Calculate the remainder when s is divided by 9.
6
Suppose -2*o = 0, -o + 46 = -5*g + 206. Calculate the remainder when 62 is divided by g.
30
Suppose -h = -2, -2*g + h + 4*h = -2702. Suppose 0 = -20*d + 14*d + g. Calculate the remainder when d is divided by 38.
36
Let w = -100 + 68. Let g = w + 42. What is the remainder when 68 is divided by g?
8
Suppose 23 + 157 = 5*d. Suppose -40 = -w - 24. What is the remainder when d is divided by w?
4
Let d = 263 + -245. What is the remainder when d is divided by 4?
2
Let g(q) = -5*q - 12. Let u be g(-3). Suppose 2*s - 14*v = -13*v + 62, 5*s + u*v = 166. Calculate the remainder when s is divided by 20.
12
Suppose -2*x + 269 = 213. What is the remainder when 97 is divided by x?
13
What is the remainder when 290 is divided by 10/(-4)*(-20732)/355?
144
Let u(g) = -g - 4. Let s be u(-4). Suppose 3*l + s*l - 15 = 0. Suppose k - 10 = -k, -2*a + 51 = l*k. What is the remainder when 22 is divided by a?
9
Let n = -80 + 100. Suppose 0 = -3*p + 2*v + 106, -3*p - 3*v - 3 + 114 = 0. What is the remainder when p is divided by n?
16
Calculate the remainder when ((-105)/28)/5*17*-4 is divided by 14.
9
Let n(s) = 2*s - 4. Let r(q) = -q - 2. Let v be r(2). Let f(i) = i**2 + 3*i + 6. Let b be f(v). Calculate the remainder when 62 is divided by n(b).
14
Suppose 6*b = 9*b - 18. Suppose -u + 23 = b. Calculate the remainder when 63 is divided by u.
12
Let j(w) = 18*w - 16. Let t(c) = -c + 1. Let r(x) = -j(x) - 5*t(x). What is the remainder when r(-4) is divided by 16?
15
Suppose -22 = -o + 5*y + 23, 3*o - y - 149 = 0. Let f = -17 + 34. Calculate the remainder when o is divided by f.
16
Suppose -g = 2*v + 53, 5*g + 0*v = 3*v - 213. Let z = 73 + g. Suppose -j - z = -5*j. Calculate the remainder when 19 is divided by j.
5
Let y = -6 + 11. Suppose 8*u - 15 = y*u. Calculate the remainder when 8 is divided by u.
3
Let b = 586 + -562. What is the remainder when 405 is divided by b?
21
Let o = 35 + -29. Suppose 0 = -o*j - 37 + 163. What is the remainder when j is divided by 13?
8
Calculate the remainder when 439 is divided by (-11898)/(-135) + 18/(-135).
87
Let f(s) = s**3 - 9*s**2 - 6*s - 13. Let i be f(10). Let h = i - 11. What is the remainder when 1/(-2) + (-189)/(-6) is divided by h?
15
Suppose -15*g + 5 = -14*g. Suppose 0 = g*p + 2*p - 70. Calculate the remainder when 14 is divided by p.
4
Let s = 416 + -213. What is the remainder when s is divided by (-648)/(-19) - (-40)/(-380)?
33
Let w = 2144 - 1823. What is the remainder when w is divided by 78?
9
Let w = 314 - 244. What is the remainder when w is divided by 8?
6
Let m(l) be the second derivative of -l**5/20 - 5*l**4/12 - l**3/6 + 9*l**2/2 - 19*l. What is the remainder when m(-7) is divided by 39?
36
Let o = 76 + -72. Suppose b - 168 = -5*f + 119, -f - o*b + 46 = 0. Calculate the remainder when f is divided by 10.
8
Let t = -644 - -1107. What is the remainder when t is divided by 8?
7
Let j(p) = 3*p**2 + 37*p - 42*p - p**2. Calculate the remainder when 93 is divided by j(4).
9
Let m = -72 - -68. Calculate the remainder when 2321/22 + 6/m is divided by 12.
8
Let u = -39 + 105. Let w(j) = -38*j**2 + 2*j - 1. Let b be w(1). Let s = 54 + b. What is the remainder when u is divided by s?
15
Let m(t) = 6*t - 1. Let c be m(1). Let s = c - 1. Suppose 84 = 8*l + 6*l. What is the remainder when l is divided by s?
2
Suppose 3*t + 4760 = 43*t. Suppose 4*j + a - 125 = 0, 5*a - 22 = 4*j - 117. Calculate the remainder when t is divided by j.
29
Let s = -18 - -44. Suppose -5*t = -5, d + 48*t = 47*t + 100. Calculate the remainder when d is divided by s.
21
Suppose -13858 = -17*i + 167. What is the remainder when i is divided by 36?
33
Calculate the remainder when ((-44)/6)/((-56)/84) is divided by 9.
2
Let i(y) = 8*y**2 - y + 2. Let r be (-16)/(-112) + (-34)/(-7) + 3. What is the remainder when i(-2) is divided by 82/r - 16/64?
6
Let y = -68 + 127. Let q = 18 + -15. Suppose -2*c + q*c = 12. What is the remainder when y is divided by c?
11
Let i(l) = l + 61. Calculate the remainder when i(-16) is divided by 7.
3
Let g(p) = -p - 1. Suppose 44 = -4*m + 5*m + 5*f, -2*m = 2*f - 56. What is the remainder when m is divided by g(-10)?
6
Let f be (52/(-39))/((-2)/9). Let h(p) = 6*p - 17. Let v(l) = -l + 94. Calculate the remainder when v(0) is divided by h(f).
18
What is the remainder when 208 is divided by (-21)/2*((-176)/24 + 6)?
12
Let k(b) = b**2 + 11*b + 14. Let o = 10 - 20. Let q be k(o). Suppose 2*d + 15 - 220 = 5*c, -2*c = -q*d + 370. What is the remainder when d is divided by 23?
21
Let o(c) = -c**3 - 10*c**2 - 12*c - 10. Let h be o(-8). Let v = 57 + h. Calculate the remainder when v is divided by 9.
6
Let a(w) be the first derivative of w**2 - 5*w - 3. Let s be a(4). Calculate the remainder when 0 + (38 + s - 0) is divided by 14.
13
Let b(m) be the second derivative of -4*m**3/3 + 4*m**2 - 8*m. Let a be b(7). Calculate the remainder when ((-15)/(-10))/((-9)/a) is divided by 5.
3
Suppose -14*c = -4249 + 805. What is the remainder when c is divided by 8?
6
Let y(a) = a**3 - 15*a**2 + 16*a + 26