when a is divided by 1?
0
Let c be 10 + (0 - (3 - 1)). Let x = c - -25. Suppose -6*h + 2*h = -4, 5*l - 647 = -2*h. Calculate the remainder when l is divided by x.
30
Let c(t) = t**3 - 29*t**2 - 50*t - 44. What is the remainder when c(31) is divided by 22?
20
Suppose 0 = -18*n + 695 + 205. What is the remainder when 168 is divided by n?
18
Let g = -95 - -171. Suppose 734 + g = 5*i. Calculate the remainder when i is divided by 41.
39
Let s = -66 + 89. Calculate the remainder when s is divided by 5.
3
Let b be 0 + 2/(-4) - (-52)/(-8). Calculate the remainder when 11 is divided by b*(2/4)/(19/(-38)).
4
Suppose 0 = z + 4 - 7. Suppose 176 = 5*r - z*r. Calculate the remainder when r is divided by 13.
10
Suppose -40*z = -23*z - 136. Calculate the remainder when 69 is divided by z.
5
Let k(h) = 48 + 2*h - 7 - 6. Calculate the remainder when k(15) is divided by 15.
5
Suppose 6 - 3 = q. Suppose -3*k + 2*k = -q. What is the remainder when 16 is divided by k?
1
Suppose -4*l = -5*n - 780, -n = -4*l + 878 - 98. What is the remainder when l is divided by 28?
27
Suppose 0 = -0*u - u. Suppose u = 5*c - 0*c + 2*z - 48, 3*c = z + 20. Calculate the remainder when ((-18)/(-1) - 20/(-4))*(1 + 0) is divided by c.
7
Let z = -14 + 32. Let t = 30 - z. Let j = t + 2. What is the remainder when 25 is divided by j?
11
Suppose 3*i + 4*j - 64 - 37 = 0, -4*j - 116 = -4*i. Suppose -5*r = -4*x + i, x + 4*r - 13 = -0*x. What is the remainder when 68 is divided by x?
5
Suppose 2*l - i + 1 = -32, 5*l + 3*i + 88 = 0. Let c = -19 - l. Calculate the remainder when 16 is divided by 220/24 - c/(-12).
7
Let c(w) = -w**3 - 9*w**2 - 6*w + 11. Let z be c(-8). Let i = 3 - z. Let q(j) = -j**2 + 14*j - 1. What is the remainder when q(12) is divided by i?
7
Let u = -7 - -9. Suppose x - 2*w = -7, x = -2*x + u*w - 1. Suppose 5*t - t - 32 = -x*d, d + 4*t = 24. Calculate the remainder when 14 is divided by d.
2
Let o be (-1)/(-3) + (-2)/6. Let b = 0 - o. Suppose 2*a + 3*j - 75 = b, 23 = a + 3*j - 19. What is the remainder when 96 is divided by a?
30
Let v(l) = -l**2 - 20*l - 45. Calculate the remainder when 86 is divided by v(-14).
8
Suppose 7*w = 29*w - 506. Calculate the remainder when 68 is divided by w.
22
Suppose 0 = -2*z - 4*p - 4, 0 = -7*z + 2*z + 3*p + 29. What is the remainder when 45 is divided by (-2 + z)/(-2)*2 - -18?
13
Let l = -29 - -33. What is the remainder when l is divided by 13/6 - 5/30?
0
Suppose -4*t - 1040 = -4*r, 0*r + 4*t = -r + 255. Calculate the remainder when r is divided by 22.
17
Suppose 2*k - 1580 = -18*k. What is the remainder when 306 is divided by k?
69
Let d = 2 - 19. Suppose -5*p + z + 93 = 0, 5*z - 75 = -4*p - p. Calculate the remainder when (-6 - -12)*d/(-2) is divided by p.
15
Suppose -9*f + 14*f = 525. Calculate the remainder when f is divided by 6.
3
Suppose -10*w + 5*w = -30. Let m(k) = 7*k**2 + w*k + k**3 + 4*k - 5*k + 2. Calculate the remainder when m(-3) is divided by 6.
5
Let h(g) = -g - 34. Let j be h(-13). What is the remainder when (0 + (-14)/6)*j is divided by 13?
10
Suppose 3*b = -h - b + 55, -3*h - 2*b + 145 = 0. Let q = -17 + 17. Suppose 0 = -q*d - 5*d + 60. Calculate the remainder when h is divided by d.
11
Let f(i) = -21*i**3 + i**2 + 2*i + 3. Calculate the remainder when f(-2) is divided by 43.
42
Suppose -15 = -x + 3*d, 0*x - 3*x - 15 = 3*d. Suppose -4*y + 3*y + 22 = x. Calculate the remainder when 55 is divided by y.
11
Suppose o - 122 = -o. Let j(t) = 4*t - 15. Suppose 4*w + 2*u = -u + 33, 32 = 3*w - 5*u. Calculate the remainder when o is divided by j(w).
19
Calculate the remainder when 69 is divided by 3/(-24) - (-2 - (-1110)/(-48)).
19
Let o(r) = -24*r - 1. Suppose 0 = -7*h + 1068 + 1394 - 383. Calculate the remainder when h is divided by o(-1).
21
Let q = -17 - -17. Let h be (-12 - -10) + q + -1. Calculate the remainder when h/9 + (-193)/(-3) is divided by 17.
13
Suppose -99*s + 48 = -97*s. What is the remainder when 59 is divided by s?
11
Suppose 64*w - 174 = 58*w. Suppose 0*q - 28 = -4*q - 5*c, -2*q = -3*c + 8. Suppose q*o + 2*o - 60 = 0. Calculate the remainder when w is divided by o.
14
Let l(d) = -2*d**3 - 19*d**2 + 13*d + 33. Calculate the remainder when 13 is divided by l(-10).
1
Let j = -319 - -338. Calculate the remainder when 102/(-4)*8/(-6) is divided by j.
15
Let n(h) = 40*h**2 - 5*h - 2. Let q be n(4). Let v be ((-4)/6)/(4/q). Let k = v - -144. Calculate the remainder when k is divided by 14.
13
Let r = 120 + -90. Let h = 38 - 22. What is the remainder when r is divided by h?
14
Suppose 3*g = 4*g + 1. Let x be (2 + g)*(5 + -2). Suppose 0*k - x*k + 72 = 0. Calculate the remainder when k is divided by 13.
11
Suppose 186*d = 191*d - 310. Calculate the remainder when d is divided by 14.
6
Suppose -21*m + 475 = -197. What is the remainder when 100 is divided by m?
4
Let v(u) = u**2 - 5*u + 2. Let w be v(6). Let l be 1*2*(-4)/w. What is the remainder when 4 is divided by (0 - l)/(5/5)?
0
Suppose 2*y + y + 15 = 0, 3*q = -y + 4. Suppose 8*x - 3*x - 50 = 0. Suppose -4*r + x = -2*r. Calculate the remainder when r is divided by q.
2
Let m be (-1 + 0)*(26 + -22). Let y be (-91)/(-28) + 1/m. Suppose 3*l - 57 = -n - 0*n, y*l + 12 = 0. What is the remainder when n is divided by 36?
33
Let d be 7/(-3) - (-1)/3. What is the remainder when d*(-1 + (-45)/6) is divided by 6?
5
Suppose -29 = 5*d - 114. Suppose -28 = -0*i + 7*i. What is the remainder when d is divided by (-5)/10 + (-38)/i?
8
Let q(y) = y**2 + 2*y + 2. Let d(k) = k**3 - 4*k**2 + 4*k - 3. Let f be d(3). Suppose -a + 49 + 17 = f. Calculate the remainder when a is divided by q(-5).
15
Suppose 0 = -4*m - h + 260, 0 = -7*m + 11*m - 3*h - 260. Calculate the remainder when m is divided by 16.
1
Suppose -2*v = -h - 14, -2*v + 27 = v - 3*h. Suppose 334 = 2*c + 2*c + 3*o, 10 = -v*o. Suppose t = -4*t + c. Calculate the remainder when t is divided by 6.
5
Let n(g) = -g**3 + 27*g**2 - 27*g + 33. What is the remainder when 120 is divided by n(26)?
1
Suppose 0 = -3*w + 7*w - 2*j - 208, -w - 5*j + 74 = 0. What is the remainder when 375 is divided by w?
51
Let a(u) be the third derivative of -u**4/12 + u**3/3 - u**2. Suppose 5*z + 5*s = 0, -140 + 175 = 4*z - 3*s. What is the remainder when a(-5) is divided by z?
2
Let p = -15 + 172. What is the remainder when p is divided by 45?
22
Suppose -45 = -3*s + 8*s. Let f = -9 - s. Suppose -z - 3*z + 48 = f. Calculate the remainder when z is divided by 7.
5
Let l(p) = -p**3 - 4*p**2 + p + 8. Let b be ((-162)/(-72))/(6/(-16)). Calculate the remainder when l(b) is divided by 25.
24
Let s(p) = -13*p - 5. Let q be s(-2). Let x = 34 - q. Calculate the remainder when x is divided by -3*2/(-18)*15.
3
Let a(d) be the second derivative of -2*d**3/3 + 15*d**2/2 - 25*d. What is the remainder when a(0) is divided by 2?
1
Let r = 144 + -139. Calculate the remainder when 306 is divided by r.
1
Let f(c) = 5*c**2 - 2*c. Let j be f(2). Suppose g + 3*g = j. Suppose 0 = g*m - 6 - 14. What is the remainder when 19 is divided by m?
4
Let x(l) = 12*l**3 - 3*l + 2. Suppose 4*a - 3 = -v, -5*a + 5*v = v - 9. Let b = -24 + 76. What is the remainder when b is divided by x(a)?
8
Suppose 0 = -11*n + 355 + 239. Suppose -3*g = -z + 15, -z - 45 = -4*z + g. What is the remainder when n is divided by z?
9
Let c(n) = n**3 + 6*n**2 - 3*n - 4. What is the remainder when 89 is divided by c(-4)?
9
Suppose 0 = 5*g + 43*p - 38*p - 275, 2*p + 94 = 2*g. What is the remainder when 405 is divided by g?
48
Suppose -q + 5*s = -32, 2*q - s + 160 = 7*q. Let o = 95 - 91. Suppose o*b - 19 - 49 = 0. Calculate the remainder when q is divided by b.
15
Suppose 61*c - 1261 = 2948. Calculate the remainder when 758 is divided by c.
68
Let y(i) = -i**3 + 8*i**2 + 10*i + 1. Let b be y(9). Let a(f) = f**3 + 0*f**2 + 4*f - 6*f**2 - 4*f**2 - 3*f. Calculate the remainder when 19 is divided by a(b).
9
Let a(v) = -205*v - 138. Calculate the remainder when a(-3) is divided by 80.
77
Let c(z) = 7*z**3 - 4. Let b(s) = -s**2 - 21*s + 24. Let o be b(-22). Calculate the remainder when c(o) is divided by 9.
7
Let m = 42 + -28. Calculate the remainder when 890/m - 42/(-98) is divided by 11.
9
Suppose -14*p + 3*p + 462 = 0. Calculate the remainder when 3524/p + 6/63 is divided by 43.
41
Suppose -38 = 3*u - 56. Let f(o) = 2*o