ainder when k(0) is divided by 317.
27
Suppose 0 = 8*f - 12*f - 4*t + 13188, 2*f + t - 6590 = 0. What is the remainder when f is divided by 53?
7
Let s(b) = b**2 + b + 2. Let m be s(0). Let d(n) = -2*n**2 + 4*n**2 + 0 - 3*n - n**2 + m. What is the remainder when d(4) is divided by 2?
0
Let w(o) = 11*o - 206. Let y be w(19). Suppose -56*p = -4*z - 52*p + 256, -4*p - 192 = -y*z. Calculate the remainder when 127 is divided by z.
63
Suppose 271*x - 2940 = 261*x. What is the remainder when x is divided by 11?
8
Let l be 0/(-3*(-12)/18). Suppose 2*i = 4, -5*g + 87 = -l*g + i. Calculate the remainder when g is divided by 5.
2
Suppose -114*z + 7160 = -17866 + 60. Calculate the remainder when 860 is divided by z.
203
Let t = -24299 + 24530. Calculate the remainder when 1002 is divided by t.
78
Suppose 7*w = 9*w - 126. Suppose 0 = -5*j - 8 + w. Suppose 3*s - z - 18 = 2*s, z - 78 = -5*s. Calculate the remainder when s is divided by j.
5
What is the remainder when 57 is divided by (-18)/(-99) - -942*3/66?
14
Let n(x) = 17*x - 101. Let a(r) = 10*r - 51. Let o(t) = 5*a(t) - 3*n(t). Calculate the remainder when 63 is divided by o(11).
26
Let w = 2308 - 2291. What is the remainder when 2623 is divided by w?
5
Let s = 22485 + -22469. Calculate the remainder when 3657 is divided by s.
9
Let w = -23562 + 23648. Calculate the remainder when 599 is divided by w.
83
Suppose 0 = p + 36 - 38. Suppose -2 = -p*y, 3*o + y = -3*y + 52. Calculate the remainder when 190 is divided by o.
14
Let r = -28 + 42. Let y(m) = m**3 - 4*m**2 - 4*m - 12. Let x be y(6). Suppose 0 = -5*l + 224 + x. Calculate the remainder when l is divided by r.
10
Let l(i) = 60*i + 189. What is the remainder when 174 is divided by l(-3)?
3
Suppose 4*g + 5*a = 501, -a - 243 = -2*g + 4*a. Suppose 122*q - g*q = -6. What is the remainder when 4 is divided by q?
1
Suppose 0*j - 4*j + 16 = 0. Suppose 33 = -15*f + 78. Suppose 0 = -3*y - 5*n - 7 + f, -3*y + 3*n = -36. What is the remainder when y is divided by j?
3
Let t = -4 - -13. Let p(h) = 232*h - 3693. Calculate the remainder when p(16) is divided by t.
1
Suppose -131658 = 158*x - 274056 - 263820. Calculate the remainder when x is divided by 22.
19
Let g(v) = -v**2 + 57*v + 430. What is the remainder when 691 is divided by g(63)?
15
Let l(y) = 48*y - 7. Let c be l(7). Suppose 7*b - c = 1127. Suppose -2*k + 13 = -o - 61, 12 = -3*o. Calculate the remainder when b is divided by k.
33
Suppose 140 = 4*a - 0*a - 2*l, 3*a - 105 = 2*l. What is the remainder when 68 is divided by a?
33
Let m(i) = -51*i + 243. Let a be m(13). Let u = a - -427. Calculate the remainder when 68 is divided by u.
5
Let f(h) = -840*h - 2785. What is the remainder when 586 is divided by f(-4)?
11
Let w(x) = 3*x**3 + 305*x**2 - 409*x + 623. Calculate the remainder when w(-103) is divided by 106.
102
Let u(z) = 25 + 13*z + 24 - 6 + 14. Let m be u(11). What is the remainder when 112 is divided by (-1 - 0) + m/10?
17
What is the remainder when (4 + (-13179)/(-9))/(100/60) is divided by 63?
62
Suppose -48*f + 71*f = 8901. Calculate the remainder when f is divided by 131.
125
Suppose 3*b - 90 = -2*b. Let a be (-67)/13 + 30/195. What is the remainder when b is divided by (8 + 4 + -2)/(-4 - a)?
8
Suppose -f + 2*u = -3*f, -15 = 3*u. Suppose f*y - 403 = -2*z, 5*z - z + y = 833. What is the remainder when 5*-1*z/(-55) is divided by 8?
3
Suppose 8*p = -14*p + 484. What is the remainder when (p - 16)*(-61)/(-3) is divided by 21?
17
Let g = -164 - -554. Suppose 0 = 8*h + 5*h + g. Let a = -24 - h. What is the remainder when 33 is divided by a?
3
Let s be (-2)/((-5)/(275/(-10))). Let t = s - -15. Suppose 3*o - 11 = -3*c + 16, o = t*c - 61. Calculate the remainder when 69 is divided by c.
13
Let f = 14 + 6. Suppose -2*v = -q + 2, -q - 18*v = -14*v - 8. Calculate the remainder when 28 is divided by (3/q - (-6)/(-24))*f.
8
Let w(f) = 3*f - 9. Let t be w(4). Suppose -8*s = -t*s - 35. Let u(g) = 42*g**3 + g**2 - 4*g + 2. Calculate the remainder when u(1) is divided by s.
6
Suppose -5*g = 2*k - 1135, 75*g + 5*k + 1170 = 80*g. What is the remainder when 253 is divided by g?
24
Suppose 17 = 4*v - 4*g - 11, 5*v + 5*g = 85. Calculate the remainder when 58 is divided by v.
10
Suppose 0 = -1691*w + 1686*w - 5*b + 525, 0 = 4*w - 4*b - 364. Calculate the remainder when 2642 is divided by w.
94
Suppose -3*b = -2*b - 100. Suppose 13*x - 3078 = -30*x - 14*x. What is the remainder when b is divided by x?
46
Suppose 365*r - 11480 = 85*r. What is the remainder when 1351 is divided by r?
39
Let j(o) = -338*o + 710. What is the remainder when 1449 is divided by j(2)?
21
Suppose -5*l - v + 6*v = -20, 3*v + 18 = 5*l. Let a(o) = -1 + 7*o**2 - o**3 + l - 4 + 14*o. Calculate the remainder when a(8) is divided by 24.
22
Let l(b) = -14*b - 3. Let a be l(-6). Let z = 99 - a. Let o = 295 + -153. What is the remainder when o is divided by z?
16
Let g = 54 + 9. Suppose 2*l + 38 = -74. Let b = g + l. What is the remainder when 18 is divided by b?
4
Suppose 2*c - 121*m + 120*m = 11, 2*c - 5*m = 15. Calculate the remainder when 629 is divided by c.
4
Let l = 284 - 279. Suppose 0 = -2*f - 2*z + 130, l*f - 345 = 4*z + z. What is the remainder when f is divided by 7?
4
Let p(y) = -y**2 - 16*y - 41. Let i(c) = -c**3 + 9*c**2 - 9*c - 4. Let g be i(8). Let h = -5 + 7. Calculate the remainder when p(g) is divided by h.
1
Let y(s) = -4*s - 2. Let f = -29 + 261. Calculate the remainder when f is divided by y(-7).
24
Suppose -121*m + 122*m = -2*o + 53, -2*m + 162 = -3*o. Calculate the remainder when 963 is divided by m.
66
Let u(k) = -41*k - 174. What is the remainder when 152 is divided by u(-5)?
28
Suppose -4*g - 2*y + 2156 = 0, 17*g - 20*g + y + 1627 = 0. What is the remainder when g is divided by 68?
65
Let j(o) = -6*o + 22. Let i be j(-6). Suppose 842 - i = 7*h. What is the remainder when ((-1)/(-2))/(2/h) is divided by 15?
13
Let k = 1 + -1. Suppose -4*t - 60 = -2*f, k = 5*f - 2*t - 18 - 140. Let x(m) = m**3 - 53*m**2 - 61*m + 395. Calculate the remainder when f is divided by x(54).
15
What is the remainder when (-5 - 24/(-6))*-9 - -106 is divided by 20?
15
Suppose 5*h + 1866 = 4*q, -2*h + 930 = 2*q - 6*h. What is the remainder when q is divided by (-10 + 3)*((-282)/21 + 0)?
93
Let z = -113 - -130. Suppose -228 = -4*y - 4*r - 68, 0 = 3*y - r - 104. Calculate the remainder when (-1 - z)/(-6) - (-138)/1 is divided by y.
33
Let h(c) = -c**3 - 13*c**2 + 57*c - 58. Calculate the remainder when h(-18) is divided by 238.
60
Let i = -3916 + 3993. What is the remainder when i is divided by 17?
9
Suppose 4*u + 6 = 38. Let l be 3/24*6*u. Calculate the remainder when 261/l*(-4)/(-6) is divided by 7.
1
Let z(b) = b**2 - 6*b - 14. Let l be z(17). Let h = 618 - l. What is the remainder when h is divided by 64?
61
Let u(r) be the third derivative of r**4/24 - 5*r**3/3 + 25*r**2. Let w be u(15). Suppose -78 = -w*i + 107. Calculate the remainder when i is divided by 8.
5
Suppose 119*w - 2755 - 872 = 13152. What is the remainder when 821 is divided by w?
116
Suppose -3*x - 20 = 2*x. Let p(t) = -t**3 - 2*t**2 + 125*t - 5. Calculate the remainder when p(10) is divided by (6/x)/(3/(-24)).
9
Suppose -139 + 52 = -3*f. Suppose 4*z + 411 = 5*z. Calculate the remainder when 3*(z/9 - -2) is divided by f.
27
Let x(i) = 1574*i + 974. Calculate the remainder when x(4) is divided by 214.
208
Let j = 12304 - 9548. What is the remainder when j is divided by 15?
11
Let q = 351 - 144. What is the remainder when q is divided by 95?
17
Let s = 24132 - 23281. What is the remainder when s is divided by 224?
179
Let x = -147 + 147. Suppose 555 = 15*i - x*i. What is the remainder when i is divided by 6*4 - (-9 + 12)?
16
Suppose o + 3*n = 110, 32*n - 92 = -o + 23*n. Calculate the remainder when 246 is divided by o.
8
Let y = 79 - 34. Let d = 128 - y. Suppose -3*s + 116 = -2*f, -3*s - 3*f + d = -28. Calculate the remainder when s is divided by 10.
8
Suppose -6*q - 9 = -9*q. What is the remainder when (12/10)/(q - 5814/1940) is divided by 26?
24
Let f(i) = 30*i - 4. Let d = 36 + -32. Suppose -a = -d*n + 6, -2*n = 2*n - 5*a + 2. Calculate the remainder when f(n) is divided by 15.
11
Let y = 683 - 670. Let m(w) = w - 1. Let q be m(-2). Let t(b) = -14*b + 8. What is the remainder when