- t. Calculate the remainder when m is divided by 6.
5
Let v = -611 - -614. Suppose 3 = -v*d, -4*t - 3*d + 8*d + 253 = 0. Calculate the remainder when t is divided by 18.
8
Let d = 21246 - 21232. Calculate the remainder when 264 is divided by d.
12
Suppose 19191*g - 19159*g - 1568 = 0. Let j(p) = p**3 + 8*p**2 - 12*p - 13. What is the remainder when g is divided by j(-9)?
7
Let d(p) = -5*p**2 - p - 2. Let q be d(-2). Let a = q - -17. Calculate the remainder when 98 is divided by 35 + 8/12*a.
32
Let s be ((-10)/(-8) - -1)/(1/(-4)). Let m be ((-3)/s)/((-1)/(-60)). Suppose 4*a - 48 - m = 0. Calculate the remainder when 50 is divided by a.
16
Calculate the remainder when (23355/(-6))/(-15) + (-7)/14 is divided by 4.
3
Let x be 69 - (1/1 - 2). Suppose x*r - 66*r = 212. Let g = -7 + 271. What is the remainder when g is divided by r?
52
Let h(r) = -9*r**2 + 523*r - 37. What is the remainder when 132 is divided by h(58)?
6
Let x be -328 - 10*(-4)/(-8). Let r = x - -344. Calculate the remainder when 52 is divided by r.
8
Suppose -7*g + 8*g = -b + 70, 2*g + 4 = 0. Suppose 75*q - b*q - 4*a = 3, 0 = -5*q - 5*a + 40. Calculate the remainder when 7 is divided by q.
2
Let v(l) = 170*l + 1206. Calculate the remainder when 221 is divided by v(-7).
13
Calculate the remainder when 2974 is divided by (-14 + 10)/((-4)/13).
10
Suppose 4*j + 43 = -41. Let l = j + 16. Let c(m) = m**2 + 6*m + 11. Calculate the remainder when c(l) is divided by 4.
2
Let m = -361 - -648. Let x = m + -179. What is the remainder when x is divided by 39?
30
Let v(l) = 1. Let f(u) = -6*u + 3. Let q(c) = -f(c) + 12*v(c). Let a be q(6). Suppose -2*n + a = 3*n. Calculate the remainder when 17 is divided by n.
8
Suppose 3*z - 62 - 37 = 0. Suppose -3*g - 220 = 170. Let j = g - -142. What is the remainder when z is divided by j?
9
Suppose 4*i = -t + 189, 0 = -3*t + 3 - 0. Suppose -716*a + 768 = -684*a. Calculate the remainder when i is divided by a.
23
Suppose -26*u + 2100 = 53*u - 1692. Let h = 91 - 45. What is the remainder when u is divided by h?
2
Suppose 8*a - 1814 - 1218 = 0. Calculate the remainder when a is divided by 51.
22
Calculate the remainder when (4/(-18) - 1510299/(-243)) + -3 + 5 is divided by 122.
117
Suppose -87*u = -69653 + 13799. Calculate the remainder when u is divided by 23.
21
Let q(t) = -t**3 - 9*t**2 - 2*t - 13. Let g be q(-9). Let z(v) = 2*v + 13. Calculate the remainder when 2/(-9) + 796/18 is divided by z(g).
21
Suppose -6*s = -4*s + 80. Calculate the remainder when (-115)/2*s/20 is divided by 31.
22
Let m(n) be the first derivative of -9*n**2/2 - 4*n + 1. Let r be m(3). Let o = 89 + r. Calculate the remainder when o is divided by 12.
10
Let n(r) = -4*r**2 - 23*r - 10. Let v be n(-5). Let b be (1/(-3))/(1/(-9)) - -3. Let p = b + v. What is the remainder when 40 is divided by p?
7
Suppose -4*p + 20 = 0, -m - 3*p = -8*p + 20. Suppose m = g, -5*o + g + 25 = -3*g. Let s = 11 - 4. What is the remainder when o is divided by s?
2
Suppose 3*t - 11*c = -8*c + 624, 0 = 2*t + 2*c - 432. Let z = t + -180. Calculate the remainder when z is divided by 12.
8
Suppose 0 = 29*t - 15502 - 46790. Calculate the remainder when t is divided by 27.
15
Let i = 19 + -15. Suppose 2 + 18 = i*b. Suppose 3*f = b*f - 38. Calculate the remainder when f is divided by 5.
4
Let r = 149 - -101. Calculate the remainder when r is divided by 117.
16
Let x be 7/56 - 55/(-8). Suppose 416 = x*t + 9*t. What is the remainder when t is divided by 5?
1
Let u(d) = d**3 + 5*d**2 - 6*d - 5. Suppose 0 = 6*p - 536 - 496. Calculate the remainder when p is divided by u(-4).
32
Let g(i) = -1064*i + 6266. What is the remainder when g(4) is divided by 669?
3
Suppose -7 + 262 = 5*p. Calculate the remainder when 45 + -28 + -6 + 102 is divided by p.
11
Let u(p) = p**2 + 34*p + 122. Let j be u(-30). Suppose -j*g + 4 = -t + 34, 0 = -4*g - 20. Calculate the remainder when 74 is divided by t.
14
Suppose 2*i = 4*i - 20. Let h(s) = -s**2 + 9*s - 9. Let b be h(2). Calculate the remainder when i is divided by 3/6*60/25*b.
4
Suppose 276 = -n + 339. What is the remainder when 1445 is divided by n?
59
Let j = -876 - -334. Let g = -73 + j. Calculate the remainder when 13 is divided by (-6)/33 + g/(-55).
2
Suppose -5*w - 8 = -7*w. Suppose w*i = -20, 5*q - 3*q = -i + 37. Let c = -87 - -147. What is the remainder when c is divided by q?
18
What is the remainder when (-109369)/(-91) + 19 - 12/(-14)*-1 is divided by 569?
82
Let v(d) = -4*d**3 - 46*d**2 - 167*d + 4. Calculate the remainder when 383 is divided by v(-4).
191
Let x = 16491 - 16192. What is the remainder when x is divided by 4?
3
Let t(b) = 16*b - 4 - 2*b + 10. Calculate the remainder when t(4) is divided by -8*(-6)/16*(-128)/(-12).
30
What is the remainder when ((-9)/4)/9 - (-7 - 1095/12) is divided by 9?
8
Suppose -13*b - 125 = -19*b - 19*b. Calculate the remainder when 799 is divided by b.
4
Suppose 5*d = -4*p - 1118, 4*p + d = -1009 - 101. Let m = 496 + p. Suppose 0 = -4*i + 7*i - m. Calculate the remainder when i is divided by 15.
13
Suppose -5*c - 320 = -3*s + 159, -471 = -3*s - 3*c. Let w = s - 81. Let d = 98 - w. What is the remainder when 38 is divided by d?
17
Suppose 5*x = -4*o + 35, 2*x = -3*o - 2*o + 31. Suppose -o*c = -380 + 120. What is the remainder when 16 is divided by 0 + c/5 - (-2)/(-5)?
6
Suppose -5*s + 344 + 631 = 0. Let h = s - 146. What is the remainder when h is divided by 8?
1
Suppose 22*k - 3138 = -2*t, 3*k + 3*t + 2958 - 3435 = 0. Let p(r) = -r**3 - 5*r**2 - 5*r - 5. What is the remainder when k is divided by p(-5)?
1
Calculate the remainder when ((-851)/148)/(1/(-508)) is divided by 28.
9
Let a(t) = t - 1. Let v(i) = -2*i - 12. Let q(m) = 10*a(m) + 2*v(m). What is the remainder when q(12) is divided by 21?
17
Let c be (-21)/28 - (-90)/24. Let y(p) = p**2 - 9*p + 12. Let l be y(8). Suppose -c*z - 77 = -l*z. Calculate the remainder when z is divided by 26.
25
Let t = 221 + -227. Let u(g) = 3*g**3 + 20*g**2 + 3*g - 16. What is the remainder when 55 is divided by u(t)?
17
Suppose -197 = 3*s - 185, -2*t + 802 = -3*s. Calculate the remainder when t is divided by 61.
29
Let h(c) = -c**2 + 5*c + 3 - 10*c - 3*c. Let v be h(-8). Suppose v*g = -u + 21, -3*g = -2*u + 2*g + 42. What is the remainder when u is divided by 12?
9
Let w = -39 + -81. Let d = w - -164. What is the remainder when 150 is divided by d?
18
Suppose 2*s - c = -5*c + 66, 5*s = 2*c + 141. Let i = -129 - -136. Suppose -i*t = 11*t - 198. What is the remainder when s is divided by t?
7
Suppose -31 + 10 = -7*u. Suppose -5*o = -3*o, 0 = -u*n - 4*o + 234. Let r = 106 - n. Calculate the remainder when r is divided by 3.
1
Let i = -46963 + 69978. Calculate the remainder when i is divided by 137.
136
Let u be -1 - ((-1)/(-2) + 4740/(-8)). Let m = u - 533. Calculate the remainder when 110 is divided by m.
52
Suppose w = -3*v - 0*w + 50, 2*w - 32 = -2*v. Let s = -9 + v. Suppose y - 31 = -8. What is the remainder when y is divided by s?
7
Suppose -4*g = 5*l + 165, -g - 3*l + 6 - 42 = 0. Let y = g - -43. What is the remainder when 25 + -2 - (-1 - y) is divided by 5?
2
Let i = -1146 + 1961. Let q = i + -776. Suppose 16 = 3*a - a. What is the remainder when q is divided by a?
7
Let h be (-228)/15*-10*4. Suppose v - 157 = r + 2*r, -2*r = -4*v + h. Calculate the remainder when v is divided by 51.
49
What is the remainder when ((-16)/(-30)*9/6)/(13/3575) is divided by 89?
42
Suppose 64*q = -10*q + 13*q + 16775. What is the remainder when 829 is divided by q?
4
Let h be 56 + -1 + (2 - 4). Let r = 77 - h. What is the remainder when (0 - 345/10)/(6/(-12)) is divided by r?
21
Calculate the remainder when 554 is divided by (-25 + 24)*(-3 + -2) + (-13)/(-1).
14
Suppose f = 4*s + 103, -f = s - 67 - 41. Suppose -104 = -2*p - 5*z + f, p - 4*z - 99 = 0. Calculate the remainder when p is divided by 55.
48
Let p(h) = -h**3 - 19*h**2 + 20*h - 29. Let g be p(-20). Let a = -113 - -50. Let j = g - a. What is the remainder when j is divided by 12?
10
Let g(f) = 374*f - 1492. Calculate the remainder when g(11) is divided by 32.
30
Suppose 4*l - 39 = -v, 0 = 7*l - 2*l - 5*v - 55. What is the remainder when 562 is divided by l?
2
Let v be (0 + -2)*90/12. Let q = v + 17. Suppose -m - 4*y = -q*y - 28, -m + 3*y + 8 = 0. What is th