he remainder when 46 is divided by z?
7
Suppose -5*v + 317 = 4*n - 14, -n = -5*v + 336. Calculate the remainder when 1741 is divided by v.
66
Let t = -33280 + 35307. What is the remainder when t is divided by 185?
177
Let i(k) = -k**3 - 16*k**2 - 19*k + 18. Let y be i(-15). Suppose y*v - 80*v + 18 = 0. Calculate the remainder when v is divided by 3.
0
Let z be ((-24)/20)/(3/120). Let c = -39 - z. Suppose 4*a = 4 + 4. Calculate the remainder when c is divided by a.
1
Let s(p) = p**2 - 3*p - 4. Let a be s(-3). Suppose 5*c = 3*b + 2*b + 270, -5*c - 4*b = -279. What is the remainder when c is divided by (135/63)/(2/a)?
10
Suppose -3*l - 1777 + 805 = -30*l. What is the remainder when 7414 is divided by l?
34
Suppose -27*u + 22*u + 835 = 0. Calculate the remainder when ((-6)/(-21) + u/28)*4 is divided by 13.
12
Suppose p - 188 = -3*p. Suppose 111 - 319 = -2*i. Suppose 0 = 3*n + 5*q - 92, -5*n = -2*q - 2*q - i. Calculate the remainder when p is divided by n.
23
Let c(g) = 16*g**2 - 2*g + 5. Let v = -27454 + 27463. Calculate the remainder when c(5) is divided by v.
8
Let x = 0 - 4. Let h = -34488 - -34497. Calculate the remainder when h is divided by 2/(-1 - x/3).
3
Let q(d) = -62*d - 7. Let p be q(-4). Let y = p + 434. Suppose -2*u - m = -264, 0*u = -5*u + 5*m + y. What is the remainder when u is divided by 34?
31
Let y be 104/(-182) + (-8)/(-14). Suppose -3*f + m = -66 - 108, 3*m = y. Calculate the remainder when 222 is divided by f.
48
What is the remainder when (-1560)/(-28) - (2/7)/(-1) is divided by (-1*2)/(-8) - (-450)/24?
18
Suppose -183 = -14*n + 12*n + 3*u, 4*u + 909 = 9*n. Calculate the remainder when n is divided by 16.
9
Suppose -97*p = -100*p + 342. Calculate the remainder when 49 is divided by (-2 - 0)/((-12)/p).
11
Suppose 2*f - 4 - 8 = 0. Let d(n) = n**2 - 3*n - 35. Let j be d(-5). Let u = 14 - j. Calculate the remainder when u is divided by f.
3
Suppose 2*d + 10 = 0, 0 = 5*g - d - 15 + 5. Suppose 5*j - 17 = -21*j + 9*j. What is the remainder when g is divided by j?
0
Let z = -392 - -395. Suppose -3*a + 6*a + z*f = 84, 0 = -4*a - 3*f + 110. What is the remainder when 49 is divided by a?
23
Let n(t) be the second derivative of t**4/12 - t**3 + t**2/2 + 2*t - 13. What is the remainder when 104 is divided by n(9)?
20
Suppose 0 = 4*u - 2*i - 120, -u + i + 30 = -0*i. Let r = u + -27. Suppose 23 = r*o - 10. What is the remainder when 32 is divided by o?
10
Let d be 9/6*3548/6. Let b = d + -882. Calculate the remainder when 32 is divided by b.
2
Suppose f - 105 = t + 43, 3*f - 420 = -5*t. Calculate the remainder when 463 is divided by f.
28
Let l(v) = -151*v**3 + v**2. Let t(d) = 10*d - 13. Let o be t(12). Let g = -108 + o. Calculate the remainder when l(g) is divided by 11.
9
Let d = 164 + -114. Suppose -345 = 40*r - 43*r. What is the remainder when r is divided by d?
15
Let b(x) = x**2 - 8*x + 18. Let v be b(10). Let d = -34 + v. Suppose 3*q - 2*u = 39, 2*q - 10 + 0 = -d*u. Calculate the remainder when 65 is divided by q.
10
Let r(u) = 2*u + 20. Let l be r(-9). Suppose -3*q = -z - z + 8, -l*q + 39 = 5*z. Let g = -199 - -218. Calculate the remainder when g is divided by z.
5
Let f(b) = -10*b**3 + 6*b**3 + 12 - 2*b**3 - 27*b**2 + 4*b**3 + 13*b. Calculate the remainder when (1 - 74)*(0 + -1) is divided by f(-14).
21
Let r = 894 - 324. What is the remainder when r is divided by 44?
42
Suppose 0 = 5*q + 4*y - 12, 23*q + 18 = 28*q + y. Calculate the remainder when 139 is divided by q.
3
Let n be 6/18 + (-2)/((-6)/83). Let g(v) = 3*v + 26. Calculate the remainder when g(n) is divided by 19.
15
Let v(r) = 69*r**3 - 2*r**2 - r + 4. Let o be v(2). Let m = -382 + o. Calculate the remainder when m is divided by 39.
8
Let j be 14322/198 + (-2)/(-3). Suppose j = z + 52. Calculate the remainder when 77 is divided by z.
14
Suppose 47626 = 21*f - 6701. What is the remainder when f is divided by 54?
49
Let j(b) = -b**2 + 12*b + 7. Let f be j(12). Let a(p) = 0 - 5*p - 5 - f*p. Calculate the remainder when 73 is divided by a(-2).
16
Let h(m) = -113*m - 61. Suppose 19 = x + z, 0*x + x = 4*z + 29. What is the remainder when h(-2) is divided by x?
18
Suppose -p + 51 = 3*v, -3*v + 4*p + 0*p = -66. Let m(b) be the first derivative of -9*b**2 - 148*b - 50. Calculate the remainder when m(-11) is divided by v.
14
Let i(d) = 18 + 16*d + d**3 - 4*d**2 + 9 - 34 - 10*d**2. What is the remainder when i(13) is divided by 15?
2
Suppose -2*f - 9702 = -7*i + 3*i, -5*f - 9717 = -4*i. Suppose 344 = -27*n + i. What is the remainder when n is divided by 4?
1
Calculate the remainder when 632/4 + -55 + 59 is divided by 6.
0
Let h = -389 - -392. Suppose 4*d = h*l - 42, -4*d + 0*d - 14 = -l. What is the remainder when 135 is divided by l?
9
Let r(v) = v**2 - 3*v - 9. Suppose 2*q = -k + 11, 0 = -0*k - 5*k - 15. Calculate the remainder when (-296)/1924 + ((-888)/(-26) - 0) is divided by r(q).
15
Suppose 2*k + 4 = 3*n - 0*k, -n + 3*k = 1. Suppose 48 = i - 2*c, 0*i + i + n*c - 36 = 0. Calculate the remainder when i is divided by 8.
2
Let x(u) = 171*u + 614. What is the remainder when x(-2) is divided by 147?
125
Suppose 0 = -4*w + 10 + 90. Suppose 3*z + 1 = -5*o - 8, 0 = 4*z + 2*o - 2. What is the remainder when w is divided by ((-33)/(-9) + 1)/(z/3)?
4
Let b(z) = z**3 - 4*z**2 - 11*z - 12. Let o be b(6). Let p be 594/26 + o + 320/52. Suppose -p*q + 630 = -2*q. Calculate the remainder when 207 is divided by q.
27
Let k(t) = -25*t - 1. Let h(g) = 2*g**3 + 144*g**2 - 141*g + 409. What is the remainder when h(-73) is divided by k(-1)?
20
Suppose 191*i + 3290 = 238*i. Calculate the remainder when 549 is divided by i.
59
Let n(o) = -o**2 - 19*o + 2. Suppose 12 = -20*d + 16*d. What is the remainder when 197 is divided by n(d)?
47
Suppose -13*c = -10519 - 3430. What is the remainder when c is divided by 154?
149
Let l = -93 + 101. Suppose 0 = 5*a + l*a + a. Let o = 14 - a. Calculate the remainder when 122 is divided by o.
10
Let d be ((-10)/(-4))/(3/102). Suppose -89*j = -d*j + 204. Let u = -26 - j. What is the remainder when u is divided by 7?
4
Let m(x) = -x + 17. Suppose -2107*v + 2112*v - 825 = 0. What is the remainder when v is divided by m(-17)?
29
Suppose -7*h - 64*h - 4043 = -5392. Let k = -7 + 10. What is the remainder when h is divided by k?
1
Suppose -3*a - 2*a = -225. Suppose 92*t - 2074 = 2719 + 5511. Calculate the remainder when t is divided by a.
22
Suppose 82*o - 2454 - 6648 = 0. What is the remainder when 10766 is divided by o?
110
Let v = -49 + 59. Let j be (2 + (-18)/4)*(-16)/v. Suppose 0 = -0*r - j*r + 68. Calculate the remainder when 82 is divided by r.
14
Let y(l) = -122*l + 2702. What is the remainder when y(20) is divided by 24?
22
Suppose 25*s - 64 - 36 = 0. What is the remainder when 40 is divided by -2 + s - 1 - (-29 - -16)?
12
Suppose 115 + 15 = 5*x. Let h(m) = -m**3 - 40*m**2 + 172*m - 115. What is the remainder when h(-44) is divided by x?
9
What is the remainder when 172*2 - (-8)/(-4) is divided by 51 + ((-3 - -4) + -2)*2?
48
Suppose -3*x = -21, 46*k - 361 = 42*k + 5*x. Calculate the remainder when 371 is divided by k.
74
Let o(w) = 7*w - 8. Let t(k) = -k**2 - 16*k - 26. Suppose 4*b + 55 - 3 = 0. What is the remainder when o(12) is divided by t(b)?
11
Suppose -3*l + 5 = a, -5*a - 8*l + 7*l = -11. Suppose 8*g + 18 = 10*g. Suppose -7*t + g*t = 10. Calculate the remainder when t is divided by a.
1
Suppose 842 = 31*x - 894. Let m(n) = -n**2 - 13*n + 11. Let v be m(-11). Let h = v - 13. What is the remainder when x is divided by h?
16
Suppose -4*f + 2*y + 1386 = 0, 1750 = 5*f + 4*y - 3*y. Suppose 328 = -3*t + f. What is the remainder when 89 is divided by t?
5
Suppose -5*a - 352 = -13*a. Suppose -a*x = -52*x + 120. Calculate the remainder when 144 is divided by x.
9
Let p(m) = -69*m**2 + 1934*m - 49. What is the remainder when 20 - (-2 - (-4 + 2)) is divided by p(28)?
6
Suppose -518*s = -521*s, 0 = x + 3*s - 332. What is the remainder when x is divided by 8?
4
Suppose 177 = -9*i + 762. Let j = 65 - i. Let t(r) = r + 89. Calculate the remainder when t(j) is divided by 13.
11
Let g = 32156 - 29945. Calculate the remainder when g is divided by 314.
13
Suppose -169*j + 18696 = -55*j. What is the remainder when j is divided by 58?
48
Suppose -175*w = -180*w. Suppose 10