remainder when 4689 is divided by r.
9
Suppose 0 = -205*w + 222*w - 67915. Calculate the remainder when w is divided by 148.
147
Suppose -5 = -5*x - 2*f, -4*f + 5*f + 5 = 0. Calculate the remainder when 32 is divided by x.
2
Suppose -3*t = 56*v - 53*v - 2346, -4*v - t + 3116 = 0. What is the remainder when v is divided by 183?
46
Suppose 0 = -4*p + 2*k - 1 + 205, 3*p - 54 = -15*k. What is the remainder when 143 is divided by p?
47
Let d = -706 - -787. Calculate the remainder when 245 is divided by d.
2
Suppose -35*g + 38 = -34*g. Let i = -25 + 25. Suppose i*h - 26 = -2*h + 4*s, 0 = -h + s + 13. Calculate the remainder when g is divided by h.
12
Suppose -2*a - 5*r + 237 = -53, -4*a = 3*r - 566. Calculate the remainder when 285 is divided by a.
5
Suppose 208*t + 1035 = 231*t. What is the remainder when 240 is divided by t?
15
Let p = 28 - 7. Let v = -138 + 132. Let c(h) = -3*h + 21. Calculate the remainder when c(v) is divided by p.
18
Let b = 337 - 339. Let f(v) = 51*v**2 - 7*v + 4. What is the remainder when f(b) is divided by 28?
26
Let u(y) = 2*y**3 + 11*y**2 - 19*y + 121. Calculate the remainder when 610 is divided by u(-6).
13
Let v(s) = 6*s**2 + 25*s + 124. Let l be v(-6). Suppose -463*q + 465*q = l. Calculate the remainder when q is divided by 49.
46
Let j(u) be the second derivative of 7*u**4/6 - u**3/6 - 5*u**2 + u. Let t be j(3). Let f = 194 - t. Calculate the remainder when f is divided by 21.
18
Suppose -2*k + 112 = 4*u, 112 = 2*k + 4*u - 2*u. Suppose 2*j = -2*j + k. Let a = -246 - -251. Calculate the remainder when j is divided by a.
4
Let a(b) = -11*b**2 + 42*b + 12. Let t be a(4). Suppose -t*w = -q - 6*w + 69, -5*w - 156 = -2*q. What is the remainder when 157 is divided by q?
11
Let h be 4/18 + 104/18 + -1. Let v be 0/(((-8)/2)/(-7 + h)). What is the remainder when 83 is divided by (-7 + v/2)/((-5)/15)?
20
Suppose 5*s - 120 = 5*r, -20 = -2*s - 13*r + 8*r. Calculate the remainder when 750 is divided by s.
10
Let f = -3406 + 3462. Calculate the remainder when 389 is divided by f.
53
Let r = 17418 - 10573. What is the remainder when r is divided by 214?
211
Let r(x) = 11*x**2 + 2*x - 46. Calculate the remainder when 71 is divided by r(2).
1
Suppose -3*b + 35 = d - 0*b, 0 = 5*d - 5*b - 235. Let t(x) = x**3 - 6*x**2 - 56*x + d*x + 26*x - 1 - 3. What is the remainder when t(7) is divided by 16?
15
Let k = 212 + -96. Suppose 12*y - 8*y - k = 0. Let t = y + -6. Calculate the remainder when t is divided by 2.
1
Let a be 2/10 - -2*332/5. Suppose 221 = 3*p - a. What is the remainder when p is divided by 17?
16
Let c(y) = -206*y. What is the remainder when c(-1) is divided by (1/(-4))/(34/136) + 24?
22
Let p(h) = 2*h**3 - h**2 + 4*h - 6. What is the remainder when 485 is divided by p(4)?
119
Let c(z) = 48*z**2 + 2*z - 1. Suppose -6*k = -30 + 12. Suppose k*w = 4*a + 3, -2*w + a + 2*a + 2 = 0. What is the remainder when c(w) is divided by 17?
15
Suppose -16*j + 8019 = 17*j. What is the remainder when j is divided by 220?
23
Suppose 105*a - 127*a + 418 = 0. What is the remainder when 1296 is divided by a?
4
Suppose -6*f - b + 862 = 0, 73*b + 274 = 2*f + 72*b. Suppose -4*a - 4 = -i - 55, 4*a - 49 = 3*i. What is the remainder when f is divided by a?
12
Let r(f) = -9 + 12 - 1382*f + 5*f**2 + 1385*f. Suppose a - 5 = -0. Calculate the remainder when r(a) is divided by 18.
17
Suppose 0 = 4*d - f - 22 + 6, -4*d + 16 = 2*f. Let y be ((-60)/(-8))/(2/d). Let m(b) = b**2 - 12*b - 29. Calculate the remainder when 44 is divided by m(y).
12
What is the remainder when 104 is divided by 41 - (0 - -14)/((-19)/((-361)/(-38)))?
8
Suppose 8*w - 10158 - 4081 = -l, -3*l - 7095 = -4*w. Calculate the remainder when w is divided by 50.
29
Suppose -2*x + 25*u + 150 = 22*u, 3*x = u + 225. Calculate the remainder when 131 is divided by x.
56
Suppose 5*z - 1164 = 101. Suppose -4*j - z = -2*v + 3, 126 = v - 4*j. Let s = -7 + 40. What is the remainder when v is divided by s?
31
Suppose 130 = 4*y + 10. What is the remainder when (-117 - -122)/(10/74) is divided by 1/(33/y - 1)?
7
Suppose -v - 4*f + 1561 = 0, 5*v = 2*f + 258 + 7657. What is the remainder when v is divided by 48?
45
Suppose 0 = 7*x - 25*x + 540. Let h(n) = -n**2 + 31*n + 1. What is the remainder when 121 is divided by h(x)?
28
What is the remainder when 8/(-3) - (-5986)/123 is divided by (-97)/(-5) - (-14)/(-35)?
8
Suppose -4*j - 61 - 79 = 0. Let w = -149 + 156. What is the remainder when 326/10 + (-14)/j is divided by w?
5
Suppose -24 + 0 = 4*w - 3*l, -4*l = 5*w + 30. Let r = 114 + w. Calculate the remainder when r is divided by 32.
12
Suppose 37*n - 15871 + 14761 = 0. Calculate the remainder when 202 is divided by n.
22
Let d = 5956 + -5465. Suppose -p = -5*t + 126, 131 = 4*t + 4*p + 11. What is the remainder when d is divided by t?
23
Suppose 85 = n - 25. Let d(f) = -f**3 - 28*f**2 + 149*f - 46. Calculate the remainder when n is divided by d(4).
34
Let p = 18 - 22. Let c be 2/4*(8 + p). What is the remainder when 264/c - 54/18 is divided by 22?
19
Let a be (24/(-15) + 2)/(10/(-3050)). Let t = a + 149. What is the remainder when 105 is divided by t?
24
Let r be (3/((-9)/6))/(-1). Suppose 31 = r*x - 3*u - 34, -x + 40 = -4*u. Calculate the remainder when x is divided by 4.
0
Let t = 30 + 35. Let x = -45 + t. Calculate the remainder when x is divided by -2 + -5 + (-3)/(-12)*76.
8
Suppose 0 = -4*u - s + 287 + 313, u + 5*s - 93 = 0. Suppose 2*d - 5*z = d + 49, 2*d + 3*z = 46. Calculate the remainder when u is divided by d.
8
Let j(f) = 2266*f - 11312. Let n(s) = 178*s - 1. Calculate the remainder when n(1) is divided by j(5).
15
Let x(p) = -27*p + 2. Suppose h = 5*l - 1, -4*h + 93*l = 89*l - 12. Calculate the remainder when x(-5) is divided by h.
1
Let v(t) = -t**3 + 22*t**2 - 39*t - 9. Let s = 35 - 15. Calculate the remainder when 230 is divided by v(s).
10
Let w(o) = o**3 + 30*o**2 - 47*o - 57. Let a be w(-31). Let x = a + -260. What is the remainder when x is divided by 14?
11
Let s = -1 - -3. Let o = s - -3. Suppose -5*p + 4*k = -29, -p + 5*k + 1 = 12. What is the remainder when p is divided by o?
4
Let f = 25 + -8. Suppose 0 = f*i - 38*i + 420. What is the remainder when 20 is divided by i?
0
Let m = 175 - 169. Calculate the remainder when 40 is divided by 25/1 + -2 + 6/m.
16
Let h = 165 + -154. What is the remainder when (-339)/(-9) + h/33 is divided by 14?
10
Let c(i) = -i**2 + 125*i - 1515. Calculate the remainder when c(36) is divided by 189.
177
Suppose -2*b = -3*g - 70, -140 = -3*b - b + 4*g. Suppose 85 + b = 5*d. What is the remainder when 92 is divided by d?
20
Suppose 23*s + 6 = 25*s. Suppose 3*v + 3*c = -6 + 33, -37 = -s*v - 5*c. Calculate the remainder when ((-26)/6 - 1)*-3 is divided by v.
0
Let b(d) = -18*d + 62. Suppose -13*u + 20*u - 14 = 0. Calculate the remainder when 30 is divided by b(u).
4
Let f = -2711 + 3489. Calculate the remainder when f is divided by 259.
1
Let f(o) = o**3 + 16*o**2 - 36*o + 15. What is the remainder when 8/6*(-492)/(-8) is divided by f(-18)?
7
Calculate the remainder when 289 is divided by (1 + (-3735)/(-18))/((-30)/(-8) + -3).
11
Suppose 2*n = 5*c + 61 + 560, 0 = n + 5*c - 348. Calculate the remainder when n is divided by 27.
26
Let d(w) = 13*w + 95. Let l be d(-7). Suppose -4*o + 112 = l*o. Calculate the remainder when 68 is divided by o.
12
Let d(l) = 25*l**2 - 8*l - 6. Let w(y) = -y**2 - 11*y - 29. Let m be w(-7). What is the remainder when d(m) is divided by 19?
8
Let w = 7437 - 7127. Suppose -73 - 17 = -2*s. Calculate the remainder when w is divided by s.
40
Let z(x) = -20*x + 205. Let g be z(10). Suppose g*h = -4*b + 24, 4*h = 2*b + 4 - 16. Calculate the remainder when 274 is divided by b.
4
Suppose -1379 + 5227 = 13*c - 5915. Calculate the remainder when c is divided by 52.
23
Suppose 2985 = 9*q - 14*r + 11*r, -3*q + 985 = r. What is the remainder when 997 is divided by q?
7
Let m = -251 - -1481. Suppose -3*g - 3*h = -m, -5*h = 3*g - 2*g - 430. What is the remainder when g is divided by 29?
28
Let j be 4 + 1 + -1 + -3 - -47. Let u = j + -32. Let g = 33 + -4. Calculate the remainder when g is divided by u.
13
Let w = 52478 - 52346. Calculate the remainder when w is divided by (-20)/(-1 + 6/10).
32
Suppose 3*j = 5*d + 77 + 114, -4*j + 258 = -5*d. Suppose 0