- 2)/(-1) is divided by s.
7
Suppose 327*d = 337*d - 290. Suppose 0 = -8*x + 7*x + 39. What is the remainder when x is divided by d?
10
Let c(t) be the first derivative of -t**3/3 + 17*t**2/2 - 41*t + 50. What is the remainder when 136 is divided by c(10)?
20
Suppose 2*s - 4*f = 30, 9 + 61 = 4*s - 3*f. Let q(a) = -4*a**2 + 79*a - 4. What is the remainder when q(s) is divided by 8?
5
Let z(j) = 7*j + 30. Suppose -4*m = 32*l - 37*l - 90, -2*m = -2*l - 44. What is the remainder when z(18) is divided by m?
16
Suppose -432*c + 803 = -652 - 705. Let v(d) = -5*d + 2. Let g(a) = -11*a + 5. Let j(q) = 4*g(q) - 9*v(q). Calculate the remainder when j(6) is divided by c.
3
Let r(k) = 113*k - 10. Let t(i) = 13*i - 673. Calculate the remainder when r(2) is divided by t(54).
13
Suppose 0 = -4*b + b + 3*v + 402, -5*b + 649 = 2*v. Let g = -151 - -63. Let s = g - -115. Calculate the remainder when b is divided by s.
23
Let h = -86 + 89. Suppose 0 = -4*v + 4*l - 28, -h*v = 5*l - 4 - 7. What is the remainder when (v/(18/(-22)))/(9/243) is divided by 50?
49
Suppose -6368*h + 450 - 6 = -6364*h. What is the remainder when 302 is divided by h?
80
Let f(k) = k - 1. Let n(q) = 18*q + 14. Let p(s) = 14*f(s) + 2*n(s). Calculate the remainder when p(1) is divided by 18.
10
Let k = 186 - 194. Calculate the remainder when (-1 - (-6)/k)*5328/(-74) is divided by 45.
36
Let l(p) = -6*p**2 - 39*p - 18. Let c(x) = -x**2 + x + 1. Let g(t) = c(t) - l(t). Calculate the remainder when 51 is divided by g(-8).
13
What is the remainder when (-2)/(-10) + 94572/90 is divided by 260?
11
Suppose -2*z = -d + 156, -30*d - z + 824 = -25*d. Calculate the remainder when d is divided by 64.
36
Let q(k) = -38*k - 321. Let z(r) = 25*r + 214. Let m(n) = -5*q(n) - 8*z(n). Calculate the remainder when m(-12) is divided by 6.
1
Let y(x) = -x**3 - 5*x**2 + 15*x + 61. Calculate the remainder when 248 is divided by y(-6).
3
Let i = 4374 - 4311. Calculate the remainder when 63 is divided by i.
0
Let z = -464 - -480. Suppose z*w - 704 = 2272. Calculate the remainder when w is divided by 63.
60
Suppose 3*i - 242*t + 244*t - 41 = 0, 5*i + 4*t = 71. Calculate the remainder when 2052 is divided by i.
6
Let l = 41 + 62. Suppose -5*p + 3*z + 572 = 2*z, -p = -4*z - l. Let c = 261 - p. What is the remainder when c is divided by 37?
35
Let i be 100 - (1 + -1 + 0). Let q = 147 - i. Calculate the remainder when q is divided by 5/(90/42)*(-180)/(-42).
7
Calculate the remainder when 544 is divided by (-195)/(-30) - (-1)/2.
5
Suppose -y + 81 = 4*z - 371, -4*z + 468 = 5*y. Suppose -14*m + z - 42 = 0. Calculate the remainder when 64 is divided by m.
4
Let c = 124 - -88. Let k(m) = 12*m**2 - 6*m - 3. What is the remainder when c is divided by k(-2)?
41
Suppose 1018 = -8*q - 462. Let u = 198 + q. Calculate the remainder when 28 is divided by u.
2
Let x be ((-6)/9)/(2/6). Let u(n) = n**2 + 15*n + 18. Let m be u(-14). Calculate the remainder when x*m/(40/(-155)) is divided by 16.
15
Let n(s) = -s**3 + 22*s**2 - 46*s - 48. Calculate the remainder when n(18) is divided by 200.
20
Suppose 2*h = 7*h - 160. Suppose -150 = -z + g, -3*g - g + 750 = 5*z. Suppose -y + z = 9*y. What is the remainder when h is divided by y?
2
What is the remainder when (5/5*1)/(-7 + 3180/454) is divided by 123?
104
What is the remainder when 389 is divided by -3*93/(-27)*(1 + 14)?
79
Let x(l) = l**2 + 6*l - 41. Let q be x(-10). Calculate the remainder when 53 is divided by (q/(-2))/(9/72) - -3.
4
Suppose 152181 = 630*a - 173*a. What is the remainder when 738 is divided by a?
72
Let l = 4747 - 1893. What is the remainder when l is divided by 168?
166
Let h = 431 + -251. What is the remainder when h is divided by ((-5900)/1000)/((-1)/10)?
3
Suppose 2*z = -0*z + 78. Let j(m) = -m**3 - 197*m**2 + 41*m + 8266. Calculate the remainder when j(-197) is divided by z.
33
Suppose -5*v + 40 + 15 = 0. Let z = v + -7. Suppose -117 - 63 = -z*b. Calculate the remainder when 88 is divided by b.
43
Let t(a) = 30*a**2 - 16*a**2 - 13*a**2 - 8*a + 2*a - 11. Let x be t(8). Suppose -x*h + h + 48 = 0. What is the remainder when 42 is divided by h?
6
Let q(g) = g**2 - 5*g + 72. Calculate the remainder when q(-11) is divided by 83.
82
Let a be 6/1*(27/(-6) - -5). Suppose 3*b - m - 33 = 0, a*b = 2*m + 2 + 31. Let v = 7 + -4. Calculate the remainder when b is divided by v.
2
Let s = -22 - -107. Let f(m) = m**2 + 15*m + 14. Let h be f(-14). Suppose 90*k - s*k - 85 = h. Calculate the remainder when k is divided by 10.
7
Let l(q) = -q**3 - 12*q**2 + 58*q + 69. Calculate the remainder when l(-16) is divided by 54.
3
Let k(x) = 144*x - 135. Calculate the remainder when 313 is divided by k(1).
7
Let o = -189 - -239. Let b(v) = -v**3 + 31*v**2 - 23*v - 15. What is the remainder when b(30) is divided by o?
45
Let p = 2667 + -2570. What is the remainder when 442 is divided by p?
54
Let h(j) = 103*j + 319. Let b be h(-7). Let m = 430 + b. What is the remainder when 90 is divided by m?
6
Let a(o) = o**2 + 12*o + 189. What is the remainder when 4578 is divided by a(31)?
12
Suppose 68*t - 70*t + 5*k + 3679 = 0, 0 = 3*t + 3*k - 5529. What is the remainder when t is divided by 21?
15
Let i = 9 + 17. Suppose 0 = n - 0*n + 5*j + 9, 8 = 2*j. Let v = -15 - n. Calculate the remainder when i is divided by v.
12
Suppose 3*k - 70 = -4*k. Let l(q) = 10 + 5*q**2 - 10*q - k + 31*q + 10. Calculate the remainder when l(-7) is divided by 11.
9
Let g = 288 + 7. Suppose 0*x - 5*x = -3*n - g, -5*n = x - 87. Let m = x - -15. Calculate the remainder when m is divided by 40.
37
Let j(i) = -49*i + 388. Let t be j(24). Let l = t + 835. Calculate the remainder when 171 is divided by l.
30
Suppose -1056 = -59*k + 65. Suppose -3 = 4*z + 1. Calculate the remainder when k is divided by (52/12)/(z/(-3)).
6
Let d be ((-1)/5 - -1)/(3/120). Let z = -11 + d. Suppose -210 = 2*r - 4*r + 5*u, 2*u = -2*r + 196. Calculate the remainder when r is divided by z.
16
What is the remainder when 582/(20/(-6)*127/(-1905)) is divided by 32?
27
Let f(y) = 2*y**3 - 10*y**2 - 2. Let d be f(9). Let o = d - 432. What is the remainder when o is divided by 36?
34
Let q(p) = -2*p**3 - 46*p**2 - 5*p + 29. Suppose 0*m - 3*m + 4*i - 57 = 0, -3*i = 4*m + 101. Calculate the remainder when q(m) is divided by 40.
24
Let v = 1291 + -1070. What is the remainder when v is divided by 50?
21
Suppose 0 = 3*p - 4*k - 21 - 25, p + 3*k - 11 = 0. Suppose 11*b + 12 = p*b. What is the remainder when ((-66)/12 + -3)*-2 is divided by b?
1
Suppose 0 = -4*d + 13 + 103. Let j(m) = 10*m + 10. Let b be j(0). Suppose b*n - 826 = 614. Calculate the remainder when n is divided by d.
28
Let h = 5 - -73. What is the remainder when 9/1 + h/(-13) is divided by 1?
0
Suppose 5*m - 9*m = -7868. Suppose -m = -8*k - 351. What is the remainder when k is divided by 8/28 - (-236)/7?
32
Let c = -385 + 389. Suppose -c*p = -20, 5*p + 165 = -3*s + 427. Calculate the remainder when s is divided by 65.
14
Let o = 1169 - -164. Calculate the remainder when o is divided by 429.
46
Suppose 2*i + 0*l + 18 = -2*l, -l - 25 = 5*i. Let p(j) = -j**2 - 8*j - 10. What is the remainder when 8 is divided by p(i)?
2
Calculate the remainder when 17928/60 - (-6)/30 is divided by 20.
19
Suppose 39*a = -8*a + 17*a + 810. What is the remainder when 136 is divided by a?
1
Calculate the remainder when (-87446)/(-7) + (-1626)/(-42) + -39 is divided by 16.
12
Let u be (-1)/4*-498 + (-1)/2. Suppose -93 = -7*b + u. What is the remainder when b is divided by 15?
1
Let w be 2/(-14) + 13272/294. Calculate the remainder when (-30 + w)*(-78)/(-9) is divided by 33.
31
Suppose -4*k = 6*k + 560. Let p = k - -42. What is the remainder when ((-27)/(-6))/3 + (-161)/p is divided by 3?
1
Let n(z) = z**3 + 16*z**2 + 7*z + 27. Let p be n(-15). Let l = p - 138. What is the remainder when 70 is divided by l?
7
Suppose 0 = 3*r - c - 153, 5*r - 456 = -3*c - 187. Let j(g) = 3*g + 12. Let l be j(-5). What is the remainder when r is divided by 18 - (-2 - 1)/(l/4)?
10
Let z(x) = 28*x**2 + 49*x - 44. Calculate the remainder when z(6) is divided by 21.
19
Suppose -24*x - 11*x + 8*x = 0. Suppose 2*f - 15*w = -13*w + 116, x = -5*f + w + 278. Calculate the remainder when 150 is divided by f.
40
Suppose -4*q + 4*g + 1100 = 0, 25*g - 20*g = -4*