is the remainder when q(6) is divided by 10?
8
Calculate the remainder when -26*174/(-44) + 42/231 is divided by 21.
19
Suppose -3*g + 3*a + 30 = 0, -g - 50 = 5*a - 72. Calculate the remainder when 1 + (19 - (-1 + 1)) is divided by g.
8
Let b(f) = f**3 - 18*f**2 + 2*f - 1. Let v be (1 - 1) + (-3)/(-3). Calculate the remainder when b(18) is divided by 2/3*12 + v.
8
Suppose -2*a + d + 2 = 0, a + 0*a - 2*d + 2 = 0. Suppose o + 28 = a*c, 2*c + 4*o - 10 - 28 = 0. Calculate the remainder when c is divided by 7.
1
Suppose 230*n = 235*n - 95. Calculate the remainder when 360 is divided by n.
18
Suppose -36 = -3*s - 5*d, 4*d + 37 = 25. Calculate the remainder when s is divided by 5.
2
Suppose -86 = -2*f - 14. Let g be ((-6)/8)/(f/(-96)). Suppose -d + g = 0, p + 2*d + 2*d - 48 = 0. Calculate the remainder when p is divided by 21.
19
Suppose -8 + 4 = -2*v. Suppose -2*i + v*c + 100 = 0, -5*i + 271 = -0*c + 2*c. Calculate the remainder when i is divided by 18.
17
Let j(x) be the second derivative of x + 0 + 1/3*x**3 - 5/2*x**2. What is the remainder when 26 is divided by j(7)?
8
Let t = 19 + -14. Suppose 0 = -t*c + 5, 6*p + 4*c + 11 = 3*p. What is the remainder when 2 - p/(10/48) is divided by 10?
6
Let g be 4/(-8 + 560/68). Let q(h) be the first derivative of -h**2/2 + 31*h - 1. Calculate the remainder when 26 is divided by q(g).
12
Let c(r) = -2*r + 13. Let a be c(6). Calculate the remainder when 93 is divided by 970/40 - a/4.
21
Let s(q) = -q**3 + 8*q**2 + 11*q - 13. Let k be s(9). Let v(p) = p**2 + 3*p + 7. What is the remainder when v(k) is divided by 12?
11
Suppose 4*m = -5*f + 34, 3*m - 3*f = -0*m + 12. Calculate the remainder when 38 is divided by 12 - (0 + -4 + m).
8
Calculate the remainder when 2/(-3) - 233/(-3) is divided by (23/230)/((-3)/(-390)).
12
Let k(f) = f - 14. Let o be k(5). Calculate the remainder when 1 + 66/o*(-3)/2 is divided by 7.
5
Let f be (-210)/4*10/(-45)*6. Calculate the remainder when (3/(24/f))/(7/140) is divided by 11.
10
Let i be (-27)/18 - (-42)/(-4). Let m be -3*(8/i - 1). Suppose -4*j + 3*w = -5, 3 = 2*j + m*w - 6. What is the remainder when 10 is divided by j?
0
Suppose v = -3*u - 51479, -3*u = 4*v - 0*v + 51476. Calculate the remainder when u/(-48) - (2 - 3/2) is divided by 45.
42
Let f(k) = -k + 7. Let r be f(2). Suppose 373 - 68 = r*t. Calculate the remainder when t is divided by 31.
30
Let f = 47 + -31. Let s(x) = 21*x**3 - 2*x**2 - 3*x - 2. Let p be s(-1). Let g = 31 + p. What is the remainder when f is divided by g?
7
Suppose -d - i = 2, i + 12 = -3*d + 14. Suppose -4*o - 8 = -5*b, 0 = -3*b - d*b - 3*o + 29. Calculate the remainder when b is divided by 3.
1
Suppose 43*s - 5477 = -317. Let a = -11 + 42. What is the remainder when s is divided by a?
27
Let v(k) = 2*k**2 + k + 1. Suppose -23 = 8*t - 95. Calculate the remainder when v(-3) is divided by t.
7
Let p(c) = -104*c - 8. Suppose 0*z = 8*z - 232. Calculate the remainder when p(-2) is divided by z.
26
Suppose b + 12*p = 11*p + 104, -484 = -5*b + 4*p. Calculate the remainder when 100 is divided by b.
0
Suppose 346 = 6*d - 146. Calculate the remainder when d is divided by 15.
7
Let f = 298 - 289. What is the remainder when 708 is divided by f?
6
Let a(n) = 15*n**2 + 53*n + 17. Calculate the remainder when 361 is divided by a(-5).
107
Let b(q) = -q**3 - 9*q**2 - q - 4. Let m be b(-9). Suppose 2*o = j + 1, 4*o + 0*j - m = j. Calculate the remainder when 21*7*o/6 is divided by 17.
15
Let o(g) = -g**2 + 99*g - 872. Let x(d) = 2*d**2 - 3*d - 6. What is the remainder when x(7) is divided by o(10)?
17
Let l(x) = 3*x**2 - 33*x - 149. What is the remainder when l(17) is divided by 71?
15
Suppose 5*k + 1 = 16. Suppose 0*j + 4*t + 140 = 3*j, -t - 45 = -j. Calculate the remainder when (25/(-20))/((-5)/j) is divided by k.
1
Let v = 25 + -30. Let t(o) = -9*o - 15. What is the remainder when t(v) is divided by 11?
8
Suppose x + 215 = 4*m, -m - 2*x + 51 = -5*x. What is the remainder when 376 is divided by m?
52
Suppose p - 7 + 2 = 2*r, 5*r = 0. Suppose 5*o = 3*h - 53, 3*o = -p*h + 85 - 8. What is the remainder when 46 is divided by h?
14
Calculate the remainder when 190 is divided by (-8)/(-84)*507 + 14/(-49).
46
Suppose l = -5*p + 3*l + 198, 0 = p + 2*l - 30. Calculate the remainder when 491 is divided by p.
35
Calculate the remainder when 74 is divided by (17 - 498/(-12)) + 2/(-4).
16
Suppose -476 = -4*a - 0*a - p, 0 = -a + p + 124. Let k = -76 + a. Let u(b) = b**3 - 8*b**2 + 9*b + 9. What is the remainder when k is divided by u(7)?
21
Suppose -9*i - 655 = -14*i. What is the remainder when i is divided by 37?
20
Suppose -5*g + 3*g + 464 = -4*v, g = -2*v + 212. Calculate the remainder when g is divided by 67.
21
Suppose 229 - 319 = -5*a. What is the remainder when 120 is divided by a?
12
Let t(z) = 21*z - 43. Calculate the remainder when t(9) is divided by 75.
71
Let n(k) = k + 12. Let c be n(-8). Suppose 2*i = -0*i - c*f + 34, 0 = 3*f. Let v = -219 + 268. What is the remainder when v is divided by i?
15
Suppose 2274 = 4*m - 5*y, -y - 3*y = 8. Calculate the remainder when m is divided by 27.
26
Let q(v) = -14*v - 15. Let j be q(-3). What is the remainder when (84/18)/((-4)/(-18)) is divided by -14*(-18)/20 + j/(-45)?
9
Let z = 64 + -64. Suppose 16*g - 63 - 65 = z. What is the remainder when 14 is divided by g?
6
What is the remainder when 278 is divided by 28/((-4)/2)*55/(-22)?
33
Suppose 14*x = 1439 + 395. Suppose -3*q = -x - 61. What is the remainder when q is divided by 33?
31
Suppose 0 = -2*y + 8, -6*o - 3*y + 66 = -3*o. Calculate the remainder when (o - 14)/(2/10) is divided by 14.
6
Suppose -j + 22*j - 5817 = 0. What is the remainder when j is divided by 31?
29
Let x = 165 - 98. What is the remainder when 101 is divided by (2 + x)/3 - -3?
23
Suppose 199 = 19*h - 447. Calculate the remainder when 132 is divided by h.
30
Let q = 118 + -95. Let a = 129 + -16. What is the remainder when a is divided by q?
21
Let p(h) = -h**3 - 10*h**2 + h + 11. Let o be p(-10). Calculate the remainder when o - (-8)/(-2) - -28 is divided by 11.
3
Suppose l + 62 = 4*y + 188, -2*l - 3*y + 307 = 0. Calculate the remainder when l is divided by 49.
48
Let g = 42 + -20. Suppose 174 = 3*j - 78. Suppose 0*s + 2*s = j. Calculate the remainder when s is divided by g.
20
Let a = -50 + 53. Suppose -44*g + 60 = -34*g. What is the remainder when g is divided by a?
0
Let r(k) = 49*k**2 + 6*k - 6. Suppose 0 = 5*z - 0*z - 120. Let a = z + 2. Calculate the remainder when r(1) is divided by a.
23
Suppose 2*o + 4*u + 14 = 0, -5*u + 1 = 2*o + 20. Suppose -o*x + 3*j = -333, j - 321 = -3*x - 0*x. Calculate the remainder when x is divided by 28.
24
Let r(h) be the first derivative of 2*h + 6. Let n(g) = g - 2. Let y(t) = 7*n(t) + 6*r(t). Calculate the remainder when 49 is divided by y(4).
23
Let a = -636 + 747. What is the remainder when a is divided by 38?
35
Suppose -76 = -5*m + 84. Suppose 15*r + 330 = 45*r. What is the remainder when m is divided by r?
10
Suppose 15*h = 120 + 480. Calculate the remainder when h is divided by 12.
4
Let y(h) = -2*h - 4. Let u be y(-5). Let z = u - -2. Suppose -4*k + 4 = -4. Calculate the remainder when z is divided by k.
0
Let s(n) = -5*n - 66. Calculate the remainder when s(-14) is divided by 1.
0
Suppose -10*a = -7*a - 15. Suppose 41 = a*q + 21. What is the remainder when 10 is divided by q?
2
Let u(z) = 18*z**2 - 3*z + 4. Let r be u(-2). Let y = 155 - r. Calculate the remainder when y is divided by 15.
13
Let p = 22 + -12. Let q be 35098/210 + 4/(-30). Let t = q - 161. What is the remainder when p is divided by t?
4
Let k = 846 + -640. Calculate the remainder when k is divided by 23.
22
Let s = -17 - -17. Suppose 2*f - 16 = -s*f. Calculate the remainder when 30 is divided by f.
6
Let u = -7 + 3. What is the remainder when (102/(-4) + 4)*-2 is divided by (-1 - u)/((-9)/(-33))?
10
Suppose 3*b - 36 = -x, -189 = -4*x - 11*b + 8*b. What is the remainder when 916 is divided by x?
49
Suppose -x = s - 5*x, -3*x = -3*s + 36. Let v = 152 - 89. Calculate the remainder when v is divided by s.
15
Let m = -115 - -131. Let s(x) = 62*x**3 + 1. What is the remainder when s(1) is divided by m?
15
Let d be 112 - (-1)/(-1)*-1. Let l = 133 - d. What is the remainder when 35 is divided by l?
1