the remainder when 19 is divided by c?
4
Let h(c) = -c**2 - c + 3. Let k be h(0). Suppose 3*l - 8 = p + 12, -l + 2*p = 0. What is the remainder when 140/6 + k/(-9) is divided by l?
7
Let n = 54582 + -54489. Calculate the remainder when n is divided by (-33)/4*(-8)/2.
27
Calculate the remainder when (-9 + 1)*(-10 + 4) is divided by 26.
22
Suppose 643 = 3*k + 4*a, 1095 = -0*k + 5*k + 2*a. What is the remainder when k is divided by 107?
7
Calculate the remainder when -2 - ((-8)/(-60) - 12320/150) is divided by 25.
5
Let s(o) = 8*o + 4. Let a(f) = -f**3 + f**2 + 2*f - 114. Let i be a(0). Let q = i + 255. What is the remainder when q is divided by s(4)?
33
Let a(p) = 2*p**2 - 6*p + 17. Let t be a(7). Let x be (-8)/(18/(-15) - -1). Let b = t - x. What is the remainder when b is divided by 17?
16
Suppose -5*t + 12 = -8. Suppose t*o = o. Suppose -5*p + o = -10. What is the remainder when 2 is divided by p?
0
Let f(v) = 2*v**3 + 9*v**2 + 9*v - 15. Let b(m) = m**3 - m + 1. Let a(h) = b(h) - f(h). Calculate the remainder when 95 is divided by a(-8).
31
Let w = -31 - -6. What is the remainder when (32/(-12))/((-1)/3) is divided by w/60*-4*3?
3
Suppose h = 4*t + 27, 2*h + 3*h - 103 = 4*t. Let j be (118/3)/(8/12). Suppose 2*w - 49 = j. Calculate the remainder when w is divided by h.
16
Let y be 20/(-3)*(-192)/8. Calculate the remainder when 42 is divided by (88/y*8)/(4/10).
9
Let d be (1/(-3))/(-1 + 14/15). Let a(u) = -u**2 + 3*u + 11. Calculate the remainder when 5 is divided by a(d).
0
Let s = -910 - -917. Let i(u) = 7*u + 2. Let v be i(3). Suppose 0 = -2*f + v - 1. Calculate the remainder when f is divided by s.
4
Let c be 5*-1*(3/1 + -26). Let z = -57 + c. Calculate the remainder when z is divided by 12.
10
Calculate the remainder when (-552)/(-16)*7/(63/30) is divided by 13.
11
Let g(j) = -5*j**3 + 250 - 268 + 10*j**2 + 8*j + 4*j**3. What is the remainder when g(8) is divided by 44?
42
Let c = 139 + -137. Let d = -28 + 34. Calculate the remainder when d is divided by c.
0
Suppose 2*l - a - 3*a - 626 = 0, -3*a = -2*l + 630. What is the remainder when l is divided by 23?
22
Let y(g) = g**2 + 15*g + 17. Let m be y(-14). What is the remainder when 2 is divided by m/(-2)*12/(-18)?
0
Let k(o) be the first derivative of -o**2/2 + 15*o - 1. Let n be (-2)/(-3) + (-266)/21. Calculate the remainder when k(n) is divided by 15.
12
Calculate the remainder when 134 is divided by -6*24/(-5) - (-14)/70.
18
Let k(m) = -5*m + 6 + 1 - 2. Suppose -11 = -228*v + 227*v. Calculate the remainder when k(-5) is divided by v.
8
Suppose 53 = 5*k + 18. What is the remainder when 25 is divided by k?
4
Let s(d) = 4*d**2 - 9*d + 106. What is the remainder when s(5) is divided by 33?
29
Let y(i) = -129*i - 790. What is the remainder when y(-9) is divided by 11?
8
Let k(l) = l**3 - 4*l**2 + 2*l - 5. Suppose -i + 4*i - 6 = 0. Suppose 3*p = i*p + 6. What is the remainder when k(p) is divided by 20?
19
Let f = -1 - -5. Let n(o) = 12*o - 2. What is the remainder when n(f) is divided by 24?
22
Let z(w) = 8*w - 2. Suppose 5*l + 258 = 8*l. Let j = 167 - l. What is the remainder when j is divided by z(2)?
11
Calculate the remainder when (280/(-42))/((2/(-4))/((-30)/(-20))) is divided by (-1)/((2/(-24))/1).
8
Let m = -248 + 436. What is the remainder when m is divided by 9?
8
Suppose 5*g - 12 - 8 = 0. Suppose 4*l - 3*m + 185 = -l, g*m = 20. Let a = l - -51. Calculate the remainder when 33 is divided by a.
16
Calculate the remainder when 221 is divided by (21 + -19)/(10/335).
20
Suppose 0 = 3*u + 2*u + 4*k - 8, 5*u + 5*k - 5 = 0. Suppose u*d - 75 = -3*z, -2*d + z - 2 = -37. Let m = -6 + 11. What is the remainder when d is divided by m?
3
Let t be 6/(-21)*1 - 1416/(-7). Suppose -3*g = -185 - t. Calculate the remainder when g is divided by 33.
30
Suppose 3*o - o = -x + 3566, 3*o = 3*x + 5340. Calculate the remainder when 45 is divided by 1*(-2)/14 - o/(-77).
22
Let c be (4/(2 - -2)*0)/(-2). Suppose c = -5*m + 41 + 34. Suppose b + 6 = 35. Calculate the remainder when b is divided by m.
14
Let x be 1*(-4 + -4 + 16). Suppose -6*z = -x*z - 8. Calculate the remainder when 60 is divided by -8*2/z - -17.
18
Let v(c) = 1180 + 0*c**2 - 1179 - 5*c - c**2. Let i be 11/(-3) - (-2)/(-6). What is the remainder when 14 is divided by v(i)?
4
Suppose 3*o - 6*b + 3*b - 93 = 0, o + 2*b - 31 = 0. What is the remainder when 53 is divided by o?
22
Suppose 4*l + 0*l = 60. Let b be 14/6 - 2/(-3). Suppose 76 - 247 = -b*x. Calculate the remainder when x is divided by l.
12
Let v = -32 - -25. Calculate the remainder when 2/v + (-5032)/(-119) is divided by 22.
20
Suppose 18*u + 89 - 503 = 0. Suppose 17 = p - 4*c, -26 = -p - 2*c + 21. Let i = p - u. What is the remainder when 25 is divided by i?
11
Suppose 15*w - 10*w = 140. What is the remainder when 109 is divided by w?
25
Suppose -70*x = -59*x - 121. What is the remainder when 106 is divided by x?
7
Suppose 0*a - 4*b = a - 19, -3*a + 42 = -3*b. Let s(h) = 11*h**3 - h - 2. Let f be s(2). What is the remainder when (f/(-10))/((-1)/5) is divided by a?
12
Suppose -2*x - 2*r - 4 = 0, 29*r - 25 = -5*x + 31*r. What is the remainder when x is divided by 1/((-2)/(2*-2))?
1
Suppose 5*a = 29*a - 336. Let q = 10 - 6. What is the remainder when a is divided by q - 0/(-1 - 0)?
2
Suppose -2*f + q + 82 = 56, 0 = -5*f + 5*q + 65. What is the remainder when 40 is divided by f?
1
Let j be 0 - 25 - (1 - 1). Let t be 4 + 26/(-3 + 2). Let x = t - j. Calculate the remainder when 12 is divided by x.
0
Suppose -5*m = 10, 0 = -5*u - 8*m + 4*m + 12. Suppose 3*b - 22 = -f - 0*f, 72 = 4*f + u*b. What is the remainder when f is divided by 7?
2
Suppose -169 = 5*c - 3*z - 39, 5*c = -2*z - 130. Let s = c + 41. Suppose 3*d + 3 = -6, -12 = -l - 5*d. Calculate the remainder when l is divided by s.
12
Suppose -5*a - 80 = -2*g, -2*a + 171 = 5*g - 0*a. Suppose 4*h - 2*b = 552, -h - 4*b = b - 127. Calculate the remainder when h is divided by g.
32
Let i = -10 + 40. Suppose -i = -c - 15. What is the remainder when c is divided by 4?
3
Let b be (-5)/10*(-4)/(-2)*-1. Calculate the remainder when (b - 11)*702/(-65) + 3 is divided by 29.
24
Let v be 2/(2 - (-231)/(-117)). Let q = -55 + v. What is the remainder when q is divided by 9 + 2*(-2 + 4)?
10
Let q = -481 - -509. What is the remainder when 192 is divided by q?
24
Suppose -258 = -5*n + 52. Let r = 31 + -20. What is the remainder when n is divided by r?
7
Suppose -370 = -3*g - 5*w, -10*g + 13*g = -w + 374. Calculate the remainder when 497 is divided by g.
122
Suppose -4*g + 3*o = 0, -o - 16 = -4*g - 2*o. Suppose 6*t - 200 = -68. Calculate the remainder when t is divided by g.
1
Let y(v) = -v**3 + 3*v**2 + 5*v. Let c be y(4). Suppose 5*t + 5 = 0, 84 - 19 = c*s - t. Calculate the remainder when 4 is divided by (-10)/(-4) - (-8)/s.
1
Suppose -n + 34*n = 891. Calculate the remainder when 807 is divided by n.
24
Suppose 76 = 2*s - 0*s. Let b = 283 + -20. Suppose -628 = -5*y - b. Calculate the remainder when y is divided by s.
35
Suppose 76 = -3*p - m - 0, -3*p = -3*m + 72. Let y = 26 - 62. Let j = p - y. What is the remainder when 42 is divided by j?
9
Let h = 15 - 9. Suppose -4*a = -4*n + a + 137, 0 = -4*n + 3*a + 127. What is the remainder when n is divided by h?
4
Let z = -24 + 6. Let m be (-27)/(-5) + (-2)/5. What is the remainder when 41 is divided by 35*(z/m + 4)?
13
Suppose -3*m + 5*f + 59 = 0, -3*m + 3*f = m - 75. Suppose -m*t + 188 = -16*t. Calculate the remainder when t is divided by 12.
10
Let w(z) = -2*z**2 + 4*z + 3. Let o be w(-2). Let m = o + 17. Calculate the remainder when 18 is divided by m.
2
Let n = 384 + -38. Calculate the remainder when n is divided by 12.
10
Suppose 4*c - 4*k = 28, -4*c = -10*k + 15*k - 10. What is the remainder when ((-4)/2)/(1/(-9)) is divided by c?
3
Let b(d) = -d**3 + 6*d + 7*d**2 - 6*d - 2*d - 2*d. Calculate the remainder when 59 is divided by b(6).
11
Suppose 9*k - 20*k + 517 = 0. What is the remainder when k is divided by 16?
15
What is the remainder when (-2821)/(-26)*(-120)/(-84) is divided by 1 + -1 + -2 - -41?
38
Let v = -3 + 51. Suppose 5411 = -55*n + 18556. Calculate the remainder when n is divided by v.
47
Let i(j) = 2*j**3 + 81*j**2 + 36*j - 35. What is the remainder when i(-40) is divided by 25?
0
Suppose 0 