What is the remainder when 145 is divided by (-2 - (-112)/40)/(2/115)?
7
Suppose -10*r - 4 = -12*r. Suppose 3*u - r*g = 38, -3*g - 20 = 2*g. What is the remainder when u is divided by 7?
3
Let h = -178 + -8. Let b = 369 + h. Calculate the remainder when b is divided by 47.
42
Suppose -9*r - 5 = -5*k - 10*r, 2*r = 5*k - 20. What is the remainder when (5*4/10)/1 is divided by k?
0
Suppose 385 + 279 = 83*a. What is the remainder when a is divided by 4?
0
Let l(b) = 2*b**3 + 2*b**2 - 1. Let v be l(4). Suppose 0 = -g - 2*g + v. Calculate the remainder when g is divided by (-6)/(-9) + 200/15.
11
Let m be ((-6)/4)/(9/(-276)). Suppose -m = -w - w. Let s = 41 - 29. Calculate the remainder when w is divided by s.
11
Suppose -7*c + 4*c = 2*x - 71, 4*x = -4*c + 96. Calculate the remainder when 37 is divided by c.
14
Suppose 5*i + 4*x - 910 = 0, i + 3*x = -0*x + 171. Calculate the remainder when i is divided by 21.
18
Suppose -16*s - 40 = -4*l - 20*s, 0 = 4*l - 3*s - 61. Suppose 0 = 5*m - 5*z - 30, 3*m - 8 = -m - 4*z. What is the remainder when l is divided by m?
1
Let f = -45 - -100. Let i = -24 + f. What is the remainder when i is divided by 10?
1
Let p be ((-537)/15 + -2)*-5. Suppose -2*g = 7*g - p. Calculate the remainder when g is divided by 6.
3
Calculate the remainder when (-4)/6*(-564)/(-2 - -6) is divided by 16.
14
Let j = -108 - -113. Suppose 5*w - 5*l - 465 = 0, 4*l + 465 = 5*w + j*l. Calculate the remainder when w is divided by 19.
17
Suppose -54 = 2*d - 5*d - 3*z, 0 = -4*d + 4*z + 56. Calculate the remainder when 63 is divided by d.
15
Let n(a) = -a**2 + 13*a + 3. Let x be n(13). Suppose p - x*p = -18. Calculate the remainder when 14 is divided by p.
5
Let r(g) = g**2 + 15*g + 11. Let p be r(-11). Let o(s) = 20*s + 1. Let f be o(-5). What is the remainder when 6/p - 5463/f is divided by 15?
10
Let a(f) = -3*f**3 - 3*f**2 + 5. Let z(r) = 37*r**2 - 38*r - 37. What is the remainder when a(-4) is divided by z(-1)?
35
Suppose 3*i - 5*i = -2*b - 14, 5*b = i - 27. Let p(l) = -2*l**2 + l**3 + 7*l**i - 8*l - 3 + 0*l**3 + 0*l**3. What is the remainder when p(-6) is divided by 3?
0
Let c = 35 - -125. Suppose 0 = 2*z - c - 6. What is the remainder when z is divided by 43?
40
Suppose 0 = -19*s + 4*s + 390. Calculate the remainder when 64 is divided by s.
12
Let u = 216 - 159. What is the remainder when 65 is divided by u?
8
Suppose -2*h + 7 = -25. Let g(o) = o**3 - 8*o**2 - 2*o + 19. Calculate the remainder when h is divided by g(8).
1
Calculate the remainder when -2*(5 - 278/4) is divided by 11.
8
Let i be 0 - (0/(-2))/2. Let j = -93 - -103. Calculate the remainder when 11 is divided by (j + -6)/(i + 2).
1
Suppose -4*i + 65 = -5*b, 37*i + 7*b - 61 = 35*i. Let c = -33 - -131. What is the remainder when c is divided by i?
18
What is the remainder when 68 is divided by (-3)/12*-1*-4*-9?
5
Suppose -3*b = 16 - 52. Let p be 4*6*(-3)/b. Calculate the remainder when ((-2)/p)/(3/126) is divided by 8.
6
Suppose 3*c = 3*h - 210, 0 = 2*c - 5 + 1. Let z = 168 - h. Let d = 45 - 12. What is the remainder when z is divided by d?
30
Let n be 19/(-38)*(1 - 5). Let l = 1 + -1. Suppose l = -5*m - n*o + 183, -15 + 54 = m + o. Calculate the remainder when m is divided by 13.
9
Suppose -q + 798 = 4*n, 5*n - 486 - 520 = 3*q. What is the remainder when n is divided by 23?
16
Let m(l) = 22*l + 10. What is the remainder when m(8) is divided by 10?
6
Let m be (-4)/(-10) + 12948/30. Suppose 0 = -3*h - 4*a + 261, 5*h + 3*a = m - 8. What is the remainder when h is divided by 17?
15
Let x be (-14)/10 + (-18)/30. What is the remainder when 38 is divided by 1 - (-1 + x*4)?
8
Let o = -8 - -82. Calculate the remainder when o is divided by (11/(-3))/((-2)/6).
8
Let q be (-1*1)/((-1)/220*-4). Let m = 59 + q. What is the remainder when 14 is divided by m?
2
Let j be (-62)/(-93) + (-200)/3. Suppose 3*c - 170 - 169 = 0. Let v = j + c. Calculate the remainder when v is divided by 16.
15
Suppose 9*m = 4*m + 130. Suppose 4*r - 58 - m = 0. Calculate the remainder when 59 is divided by r.
17
Let v(b) = 2*b - 2. Calculate the remainder when 2 + (6 - -2 - -28) is divided by v(6).
8
Let b(u) = -10*u**2 + 10 + u**3 + 4*u**2 + 29*u - 3*u**2 - 3. Calculate the remainder when b(9) is divided by 54.
52
Suppose -2*u - 20 = 28. Suppose 2*r - 57 = z, -2*r = -3*z - 86 - 77. Let h = u - z. Calculate the remainder when 57 is divided by h.
28
Suppose 5*a - 2*a = -2*m + 6, -3*a = m - 3. Suppose -g - 4 = m*v + 3*g, 4*g + 4 = -v. Calculate the remainder when 15 is divided by v + 3 - 1 - -7.
6
Let f = -1737 + 1750. Let y = -37 + 62. Calculate the remainder when y is divided by f.
12
Suppose -5*o = -2*y + 8 + 17, -y = -3*o - 10. Suppose -5*u + 254 + 231 = 0. What is the remainder when u is divided by y?
22
Let c(x) = 177*x**3 - x**2 + 4*x - 5. What is the remainder when c(1) is divided by 54?
13
Let k = 96 - 94. Let a(t) = -t**3 + 2*t**2 + 4. Calculate the remainder when 9 is divided by a(k).
1
Calculate the remainder when (-2208)/(-18) + 4 + (-44)/12 is divided by 32.
27
Let f(t) = -2*t + 5. Let i = -15 + 31. What is the remainder when f(-7) is divided by i/(-4) - -14*1?
9
Suppose 24*o + 387 = 33*o. What is the remainder when 164 is divided by o?
35
Let y = -114 - -166. Calculate the remainder when y is divided by (-12)/(-9)*(-42)/(-4).
10
Let l be (-6)/(-27) + (-33)/27 + 3. Suppose -44 = -l*i - 18. Calculate the remainder when i is divided by 5.
3
Let z(n) = n**3 + 2*n**2 - 4*n + 7. What is the remainder when 399 is divided by z(-3)?
9
Let f = 53 + -55. Calculate the remainder when f - (-5*1 + 3 + -5) is divided by (-22)/(-8) - (-1)/4.
2
Let a = 15 + -5. Let d = -64 - -64. Suppose -3*x + 48 = 4*k, 2*k - 2*x = -d*k + a. Calculate the remainder when k is divided by 2.
1
Suppose 3*z - 2*v = 129, 5*z + 3*v = 212 + 22. Calculate the remainder when z is divided by 22.
1
Let h(c) be the second derivative of -c**5/20 - c**4/12 + c**3/6 + 14*c**2 + 11*c. What is the remainder when h(0) is divided by 15?
13
Let p(z) = -2*z**3 + 9*z**2 - 6*z - 7. Let j be p(-7). Suppose -392 + j = -5*u. Let m = u + 267. Calculate the remainder when m is divided by 29.
26
Suppose -4*i = -13 - 7. Suppose -2*a + 5 + 5 = 2*n, n + i*a = 9. Calculate the remainder when 15 is divided by n.
3
Suppose 6*f = 8*f. Suppose f = 4*c - 6*c + 30. Calculate the remainder when 1/(1/(-118)*-2) is divided by c.
14
Let t(b) = 2*b**2 + 2*b - 7. Let g be t(-5). Let u = 83 - g. Let q = 30 + -17. Calculate the remainder when u is divided by q.
11
Let m(d) = -d**2 + 14*d + 17. Let o be m(15). Suppose -o*q = 2*p - 70, -q + 0*p + 3*p + 43 = 0. What is the remainder when q is divided by 13?
11
Let m = -14 - -27. Let g be 2*(-24)/80 + 2/(-5). Let d = g + m. Calculate the remainder when 35 is divided by d.
11
Let c(f) = f**2 - 3*f - 16. Let g be c(6). Suppose -4*d + 3 = -g*x + 45, -3*x - 3*d = -18. Calculate the remainder when x is divided by (-16)/(-6) - (-1)/3.
2
Suppose 15 = 5*c - w, -5*w - 23 = c - 0*c. Suppose -5*u + 70 = -5*z, -4*u + 2*z = -22 - 38. Calculate the remainder when u is divided by -1*2/(c/(-9)).
7
Let a = -10 - -12. Suppose a*l = l + 5*x - 20, 2*x = 2*l. What is the remainder when 25/(-5)*(-16)/l is divided by 9?
7
Suppose 0*w = -6*w - 114. Suppose 0 = -3*x - 3*b + 15, 0*b + 4*b + 52 = 5*x. Let o = x - w. What is the remainder when 79 is divided by o?
25
Let s(t) = 5*t**2 - 16*t + 2. Let a be s(4). Let z = a - 17. What is the remainder when 4 is divided by z?
0
Suppose -35 = 2*z + 5*z. What is the remainder when 32 is divided by -2 - 2 - (z + (-4 - 1))?
2
Let q = 430 - 392. What is the remainder when 530 is divided by q?
36
Suppose -19 = -3*m + 5*q + 17, 0 = m - 4*q - 5. Suppose -10 = -g + m. Calculate the remainder when 103 is divided by g.
22
Suppose 0*w = 2*g + 3*w - 304, 0 = -2*g - 2*w + 304. Calculate the remainder when g is divided by 31.
28
Let p(d) = -d**2 - 10*d + 3. Let i(t) = t**3 + 6*t**2 + 7*t + 1. Let j be i(-5). What is the remainder when p(j) is divided by 2/(-6) - 44/(-6)?
5
Let j be 2/(-12) + 245/(-6). Calculate the remainder when -2 - j - (15 + -11) is divided by 10.
5
Let d be (-2)/3 + ((-290)/6)/(-5). Let j = 17 - d. What is the remainder when 12 is divided by j?
4
Let x(v) = -v**2 + v + 13. Suppose 44 = -2*b + 3*b - 2*d, -5*b = -d