lculate the remainder when 11 is divided by k.
4
Let d(x) = 78*x - 145. Let z = -11 - -51. What is the remainder when z is divided by d(2)?
7
Let n(f) = -f + 13. Let z be n(9). Suppose -2*h + z*s + 44 = -h, -h + 3*s + 39 = 0. Let t = h - 15. Calculate the remainder when 30 is divided by t.
3
Let t(c) = -7*c**2 + 4*c - 12. Let a be t(5). Let z = a + 199. What is the remainder when 94 is divided by z?
30
Suppose -15*y + 3318 = -72. Let o = 279 - y. Calculate the remainder when 158 is divided by o.
52
What is the remainder when 1101 is divided by ((-1260)/(-5))/(87/(-6) - -16)?
93
Suppose -18*q = -27*q + 918. What is the remainder when 506 is divided by q?
98
Suppose 17*a = 90*a - 730. Suppose 5*l - 50 = 4*l - r, -3*r - 218 = -5*l. Calculate the remainder when l is divided by a.
6
Let m(c) be the first derivative of 10*c**3/3 + 7*c**2/2 - c - 71. What is the remainder when m(4) is divided by 56?
19
Suppose -38*i - 6*i + 774 = -1162. What is the remainder when 981 is divided by i?
13
Suppose -3*a + 1045 = 5*u, 4*a + 521 = 3*u + 1866. Suppose -4*h = h + a. Let y = h + 122. What is the remainder when y is divided by 14?
12
Suppose 2*u - 50 - 50 = 5*m, -2*u = 5*m - 120. Let r(b) = -b**2 + 37*b + 14. Let x = 225 - 188. What is the remainder when u is divided by r(x)?
13
Let g(u) = 6*u - 48. Let k be g(19). Suppose -k = -j - 2*v, 2*v + 270 = -9*j + 14*j. Suppose 11*w - j = 3*w. Calculate the remainder when 9 is divided by w.
2
Let f = 1996 + -1936. Calculate the remainder when 178 is divided by f.
58
Suppose 3*r + 3*h = 39, -4*r + 5*h + 101 - 40 = 0. What is the remainder when 489 is divided by r?
13
Suppose -65*o = -98*o + 196 + 1652. Calculate the remainder when 63 is divided by o.
7
Let g = 72 + -48. Suppose h - p - g = 0, -p + 0*p = -2. Let b(k) = 3*k**2 + 12*k + 48. What is the remainder when b(-5) is divided by h?
11
Suppose -7*q + 492 = 429. What is the remainder when 132 is divided by q?
6
Suppose 132 = 9*f - 3*f. Suppose 0 = -19*a + f*a - 24. Suppose 182 = 19*z - 6*z. Calculate the remainder when z is divided by a.
6
Suppose 46 - 682 = -6*x. Suppose 223 = -7*j - x. Let b = j + 69. Calculate the remainder when 59 is divided by b.
15
Suppose -13*c + 3*j - 1977 = -11*c, 4*c - 4*j = -3948. What is the remainder when c*7/(-70) - 3/(-5) is divided by 50?
49
Let z(t) = t**3 + 7*t**2 - 19*t - 130. What is the remainder when 131 is divided by z(-7)?
2
Let k(a) = 17*a**2 - 385*a + 2661. What is the remainder when k(7) is divided by 55?
29
Let o = -476 - -811. Suppose -5*x + 0*x - 835 = -5*b, 3*x = 2*b - o. What is the remainder when b is divided by (-22 - (-445)/20)*(-224)/(-2)?
26
Let w(t) = 13*t**2 + 320*t + 1271. Let d(o) = o + 11. What is the remainder when w(-4) is divided by d(9)?
19
Let m(c) = -c. Let u(d) = -d**3 - d**2 - 5*d + 2. Let p(z) = 6*m(z) - u(z). Let a be (3/4)/((-18)/(-48)). Calculate the remainder when 15 is divided by p(a).
7
Suppose -2*r - 34 + 32 = 0. What is the remainder when 3950/70 - r/((-14)/6) is divided by 15?
11
Let c(d) = d**3 - 7*d**2 + 12*d - 1. Suppose 5*r - 20 = r. Calculate the remainder when 34 is divided by c(r).
7
Suppose 0 = 8*c - 2*c - 144. What is the remainder when (-2*2)/((-2 - 5)/266) is divided by c/8 - (-11)/1?
12
Let u = 133 - -9. Let w = u + 50. Calculate the remainder when w is divided by 65.
62
Let k = 3920 - 3876. Calculate the remainder when 151 is divided by k.
19
Let d(l) be the first derivative of -l**2/2 + 20*l + 4. Let o(m) = -m**3 + 11*m**2 - 2*m + 15. Calculate the remainder when o(10) is divided by d(-7).
14
Calculate the remainder when 692 is divided by ((-36)/7)/((-116)/1218) - (-7 + -1).
10
Let d = 13658 + -13528. What is the remainder when 383 is divided by d?
123
Let x(r) = -r**2 + 13*r + 1. Let b(q) = q**2 - 12*q. Let y(j) = 4*b(j) + 3*x(j). Let z be y(9). What is the remainder when (-8 + 7)/(z/(-21)) is divided by 3?
1
Suppose 4*a = -3*z + 289 + 475, 0 = 3*z. Calculate the remainder when a/5 + (-4)/(-5) is divided by ((-9)/2)/(3/(-4)).
3
What is the remainder when 1392 is divided by (372/9 - -1) + 25/15?
28
Let a(v) = -v**2 + 46*v - 254. Suppose 12 = l - 35. Let j = 246 - l. Calculate the remainder when j is divided by a(38).
49
Suppose 284 + 1668 = 10*m - 11438. Calculate the remainder when 1347 is divided by m.
8
Suppose -4*l + 0*l - 76 = 0. Let x(u) = u**2 + 15*u + 4. Let a be x(-17). Calculate the remainder when l/a - (-7)/2 is divided by 2.
1
Suppose -14 = -13*x + 6*x. Let s be 66/(-9)*(-9)/6. Calculate the remainder when x is divided by (0 + -1)/(s/(-22)).
0
Suppose -10*z + 4*z - 18 = 0. Let j be 2 - (-3 + -103) - z. Suppose 15*x - 18*x = -j. What is the remainder when 68 is divided by x?
31
Suppose -13*g - 88*g + 11996 = -2447. Calculate the remainder when 430 is divided by g.
1
Suppose -r + 3*w + 43 = 0, -5*r + w - 59 = -6*r. What is the remainder when 233 is divided by r?
13
Let n be (0 - 4)*(-234)/(-104). Let f be ((-72)/(-54))/(16/n - -2). What is the remainder when 27 is divided by 297/81 + 0 + 2/f?
3
Suppose 7*q - 3 + 10 = 0, -5*q = -5*g + 645. Calculate the remainder when 2558 is divided by g.
126
Suppose 11*x + 4 = 13*x, -n + 1640 = 5*x. Suppose 241*c - 251*c = -n. Calculate the remainder when c is divided by 43.
34
Suppose d - 1140 = -9*d. Suppose -5*l + 4*a = -d, -4*l + a = -76 - 24. Calculate the remainder when l is divided by 6.
2
Calculate the remainder when -9 + (-833)/((-1)/1) is divided by 412.
0
Let a(f) = -f**3 + 21*f**2 + 6*f - 88. Let i be a(21). Suppose 444 - 2876 = -i*p. Let z(n) = n**2 - n + 1. Calculate the remainder when p is divided by z(-3).
12
Let w(k) = k**2 - 47*k + 297. What is the remainder when 3210 is divided by w(40)?
14
Suppose 256*n = 251*n. Suppose s = -5*u - n*u + 20, u + 5*s = 4. Let c(m) = m**3 + 10*m**2 + 4*m - 8. What is the remainder when c(-9) is divided by u?
1
Suppose 0 = 107*g - 18*g + 45*g - 30418. Calculate the remainder when 506 is divided by g.
52
Let b = -514 + 857. What is the remainder when b is divided by 43?
42
Let u(q) = 95*q**3 + 2*q**2 + q - 4. What is the remainder when u(1) is divided by 2 - (-35 - 1 - -3)?
24
Suppose -2*p + 1 = 5. Let d = p + 13. What is the remainder when d is divided by 1*((-1)/((-3)/15) + -2)?
2
Calculate the remainder when 477 is divided by ((-1)/5)/(-1*16/(-20))*-244.
50
Suppose 3*h + 4*b - 7*b = -57, 0 = 5*h - 4*b + 98. Let o(j) = 5*j + 124. Calculate the remainder when o(h) is divided by 3.
2
Let b(l) = -l**2 + 25*l - 34. Suppose 12*x + 171 = 31*x. What is the remainder when b(x) is divided by 28?
26
Let p(q) = 2*q**2 - 5*q - 1. Suppose 5*o + 795 = 5*u, 91*o - 95*o = 0. What is the remainder when u is divided by p(6)?
36
Let p(o) = 4*o + 151. Suppose 0 = -5*u + 25 - 165. Calculate the remainder when 154 is divided by p(u).
37
What is the remainder when 172120/60 - (0 + 9/(-27)) is divided by 70?
69
Suppose 6*q + 1820 = 1880. Let j be (1/(-3))/(1/(-21)). Suppose -5*f + 10 = -2*g, -1 = -f + 2*g - j. What is the remainder when q is divided by f?
2
Let p(j) = j**3 + 6*j**2 + 7*j + 15. Let z be p(-5). Suppose -z*m + 138 + 122 = 0. What is the remainder when m is divided by 19?
14
Let k = 2063 + -2012. Calculate the remainder when 254 is divided by k.
50
Let o = -463 + 769. Calculate the remainder when o is divided by 38.
2
Suppose 2*y + 10 = 0, 455*y = -4*c + 456*y + 77. Calculate the remainder when 333 is divided by c.
9
Let o = 9056 + -9054. Let a be (-2)/2 - (1 + 1). What is the remainder when -67*(a + 2) - (0 - o) is divided by 14?
13
Let g(j) = 779*j - 4452. Calculate the remainder when 5549 is divided by g(6).
221
Let y(m) be the second derivative of 5*m**4/6 + m**3/2 + m**2/2 - 4*m. Calculate the remainder when y(-2) is divided by ((-3)/(-4))/(657/12264).
7
Suppose 4*v - 180 - 1424 = -2*i, -3*v - 1576 = -2*i. Let k = i + -782. What is the remainder when k is divided by 3?
0
Suppose 0 = -5*k - 27 + 2. Suppose -3*z = 13 - 10. What is the remainder when 33 is divided by z - (-14 - (1 + k))?
6
Suppose 2*v = 5*m - 12570 - 1040, 0 = 3*v + 15. What is the remainder when 1/(-2)*m/(30/(-3)) is divided by 38?
22
Let h be (0 - 1)/((-1)/17). Let q = -2101 - -2115. Suppose h*i - 16*i = q. What is the remainder when 54 is divided by i?
12
Let o = 93 - 93. Suppose o = 2*u - 6*u + 80. Let y(i) = 3*i**2