Suppose 3*g - 8061 = -3*m + 16683, 0 = -2*m + 2*g + 16488. What is the remainder when m is divided by 8?
6
Let b = -9 - 3. Suppose -11 = -4*u + 633. Calculate the remainder when u is divided by ((-99)/b)/(-1*4/(-16)).
29
Suppose -4*y + 12*y = -880. Let n = y - -115. Suppose 274 = n*q - 116. Calculate the remainder when q is divided by 25.
3
Suppose 11*j + 0*j - 770 = 0. Suppose 0 = -4*k + 2*q - 0*q + j, 2*k - 29 = 3*q. What is the remainder when 54 is divided by k?
16
Suppose 5*r - 33*r = -56. Suppose -r*g = p - 1 - 26, -17 = -p + 3*g. Suppose 3*s - 95 = -a + s, 2*s = -2*a + 184. What is the remainder when a is divided by p?
20
Let c(p) = -p**3 + 14*p**2 - 6*p + 119. Calculate the remainder when 435 is divided by c(13).
15
Let y(x) = x**2 + 8*x - 14. Let w be y(-10). Suppose -2*b + 3*b = -m + 6, -m - w = -2*b. Calculate the remainder when -3 + 4 - b - -5*14 is divided by 18.
13
Let c(a) = -a**3 + 9*a**2 - 12*a - 14. Let y be c(7). Suppose -4*b - 2*g + 88 = y, -3*b + 5*g = -7*b + 100. What is the remainder when 197 is divided by b?
17
What is the remainder when 2*-1*((-715)/(-2))/(-5) is divided by (-4 - -8)*(1 + (-72)/(-16))?
11
Let m = -2980 - -3320. What is the remainder when m is divided by 65?
15
Let u = 135 - 86. Calculate the remainder when u is divided by -44 + (-5860)/(-120) - (-3)/18.
4
Suppose -37 = -7*b - 23. Suppose 5*s + b*l - 4*l = 12, -4*s = -4*l - 12. Suppose s = -11*x + 134. What is the remainder when x is divided by 5?
2
Let u = 160 + -119. Let k be 3/(9/(-6))*6. Let a = k - -21. Calculate the remainder when u is divided by a.
5
What is the remainder when (-10)/4*(2 - 4944/20) is divided by 159?
136
Let f(k) = -k**3 - 17*k**2 - 18*k - 29. Let t be f(-16). Suppose -q - t*v = -21, 4*v - 10 = -30. Calculate the remainder when q is divided by 10.
6
Let p be ((-4)/8 - -2)*6/(-9). What is the remainder when 243 is divided by 3/6*(-98)/p?
47
Let t = -142 + 261. Calculate the remainder when t is divided by -31*(182/(-26) + (0 - -6)).
26
Let r(c) = -4554*c - 40963. Suppose -2*a - 99 = a. Let l = -21 - a. What is the remainder when r(-9) is divided by l?
11
Suppose 0 = -4*d + 24, 84 = 15*x - 12*x - 2*d. What is the remainder when 103 is divided by x?
7
Let a = 111 + -54. Suppose -2*s + 4 = 3*x - 12, -2*x = -8. Suppose -s*l = l - a. What is the remainder when 151 is divided by l?
18
Let n = -181 - -166. Let h(g) = g**3 + 14*g**2 - 16*g + 30. Let q(l) = l**3 - 8*l**2 + 10*l - 5. Calculate the remainder when h(n) is divided by q(7).
13
Calculate the remainder when 8/40 + (-11008)/(-160) is divided by 47.
22
Suppose -280*z - 194*z = -2416376 + 581996. What is the remainder when 3871 is divided by z?
1
Let r = -547 + 570. Let u = -43 - -56. Calculate the remainder when r is divided by u.
10
Let s(d) be the second derivative of 13*d**3/3 - 45*d**2 + 5*d + 23. Calculate the remainder when s(15) is divided by 101.
98
Suppose -5*z + 4 = -3*x, 3*z + 1 = 5*x - 3. Suppose -4*a = -x*g + 70, -17*g - a = -18*g + 38. Calculate the remainder when g is divided by 6.
5
Let b(i) = i**3 + 11*i**2 - i - 7. Let p be b(-11). Let v be 0 - (-6)/(-27) - p/(-18). Suppose x + 3*x - 324 = v. What is the remainder when x is divided by 17?
13
Suppose v - 30 = -v. Suppose 0 = 2*z + u - 832, 1423*z - 1424*z = 4*u - 416. What is the remainder when z is divided by v?
11
Let q = -9739 - -9791. What is the remainder when 441 is divided by q?
25
Let o(d) = -55 - 12*d - 51 + 30. Let j be o(-7). Suppose -2*h = -j*h + 1266. What is the remainder when h is divided by 53?
52
Suppose f - g - 5 = -0*g, f + g = 3. Let r = f + -4. Suppose r = 4*m - 12, -4*m - 131 = -5*t + 152. What is the remainder when t is divided by 15?
14
Suppose -57 + 363 = 3*w - 3*d, 3*w - d - 296 = 0. Suppose -5 = -5*i + 5, -i = 5*n - 222. What is the remainder when w is divided by n?
9
What is the remainder when 420 is divided by 4/16*((6 - 4) + 210)?
49
Let l = 1325 - 1208. Suppose r - 41 = -3*k, 0*r + r - 2*k = 36. What is the remainder when l is divided by r?
3
Calculate the remainder when 1580 is divided by 36 - -1 - (299/65 - (-12)/(-20)).
29
Suppose 49*t - 43458 = 41753. What is the remainder when t is divided by 15?
14
Suppose 12 = 4*r, 3169 + 16524 = 4*g - 5*r. Calculate the remainder when g is divided by 64.
63
Suppose -2*c - 11837 = -12569. Calculate the remainder when 561 is divided by c.
195
Let g be (-24558)/30 + 3/5. Let p = 1290 + g. What is the remainder when p is divided by 79?
77
Suppose -50*l + 54080 = 30*l. Calculate the remainder when l is divided by 97.
94
Suppose -2*r - 70494 = -2*b, 37*r = 4*b + 34*r - 140995. What is the remainder when b is divided by 52?
50
Let h be 17/(1/(-4)*-2). Let n = 159 - h. What is the remainder when n is divided by 14?
13
Let m(y) = 4*y**3 - 186*y**2 - 75*y + 17. What is the remainder when m(47) is divided by 46?
36
Suppose 1787 = -161*a + 164*a - 5*m, 2*m = -2. What is the remainder when a is divided by 121?
110
Let s(d) = -3*d + 27*d - 2*d - 70 - 84 - 4*d. Calculate the remainder when s(14) is divided by 17.
13
Let c(v) be the second derivative of -v**3/6 - 11*v**2/2 + 12*v - 6. What is the remainder when (2*-1)/((-1)/64) is divided by c(-37)?
24
Let t be 2/((-5)/20*-2). Suppose -360 = -5*r - 5*i, -2*r - 3*r + t*i + 324 = 0. Let c = 28 - 10. Calculate the remainder when r is divided by c.
14
Let b = 6 - 47. Let r = b - -46. Suppose -4*a - 2*w + 58 = 0, 0*a + a - r*w = 20. Calculate the remainder when a is divided by 9.
6
Let z = -1115 - -1133. Calculate the remainder when z is divided by 21/(2 + 2/(-4)).
4
Let i(q) = -3*q**2 + q + 5. Let n be i(2). Let r(f) = f**3 + 7*f**2 + 6*f + 5. Calculate the remainder when r(n) is divided by 15.
10
Calculate the remainder when 378 is divided by 24/(-72)*(-10 + -14).
2
Calculate the remainder when (-102027)/(-93) + -14*9/1953 is divided by 350.
47
Suppose 1806 = -13*n + 805. Let w(v) = 126*v - 1. Let u be w(1). Let s = n + u. What is the remainder when 92 is divided by s?
44
Let l(p) = p**3 - 2*p**2 - 44*p + 6. Let d(u) = -2*u**3 - 56*u**2 + 8. Let r be d(-28). Calculate the remainder when 338 is divided by l(r).
34
Let a = 55 + -43. Let j = 23 - a. Let z(w) = w**3 + 14*w**2 + 11*w - 19. Calculate the remainder when j is divided by z(-13).
4
Suppose -3*b + 3278 + 973 = 2*w, -w - 4*b = -2113. What is the remainder when w is divided by 97?
96
Let u be (-680)/935*22/(-4). Calculate the remainder when 70 is divided by u/10 + 11/((-275)/(-215)).
7
Let i(q) = -30*q + 34. Let w(m) = m**2 - m + 14. What is the remainder when i(-8) is divided by w(8)?
64
Suppose 210*m - 59514 - 112896 = 0. Calculate the remainder when m is divided by 105.
86
Suppose -b = 2*c + 110, 4*c + 3*b + 208 = 7*b. Let j = -46 - c. Calculate the remainder when 25 is divided by j.
1
Let z(a) = -2*a + 34. Let o be z(12). Let h be o - (-1 + -1 - (6 + -10)). Suppose h*t = 211 - 35. What is the remainder when 109 is divided by t?
21
Suppose -120*p + 117*p + 168 = 0. What is the remainder when (-1372)/(-10) - p/(-70) is divided by 7?
5
Suppose w - 5*q - 6270 = 0, -43*w + 3*q - 25011 = -47*w. What is the remainder when w is divided by 7?
4
Suppose 3*i = -5*o + 119, 0 = 769*i - 773*i + 5*o + 147. What is the remainder when 585 is divided by i?
15
Let n be (-42)/(-70) + 406/(-10). Calculate the remainder when (-48)/n*(-200)/(-3) is divided by 22.
14
Suppose -2*s + 3458 = -28*s. What is the remainder when ((-5)/(-2))/(-3 - s/42) is divided by 3?
0
Let q be 273/(((-2)/4)/((-25)/50)). Suppose -q = 29*b - 1404. Calculate the remainder when b is divided by 20.
19
Let t be ((-2499)/28)/(1*(-12)/32). Suppose 13*y + t = 1668. Calculate the remainder when 227 is divided by y.
7
Let m be (45/12)/(2 - (-58)/(-32)). Let y(h) = -h**3 + 21*h**2 - 19*h - 2. Let z be y(m). Suppose z*o = 17*o + 7. What is the remainder when 76 is divided by o?
6
Let f be 0 - -1 - 18/(-1). What is the remainder when f*3*(-6)/(-9) is divided by (4*(-13)/12)/((-4)/12 + 0)?
12
Suppose -186 = 418*g - 424*g. Suppose 0 = -2*y + 97 + g. What is the remainder when y is divided by 33?
31
Suppose -55010 = -167*l + 89233 + 43966. Calculate the remainder when l is divided by 15.
2
Let l(a) = -a**3 + 23*a**2 + 8*a - 123. Let g(k) = 2*k**2 - 3*k + 4. Calculate the remainder when l(23) is divided by g(4).
