ppose 0 = f + 2 - 25. What is the remainder when r is divided by f?
14
Suppose 2*o = 5*i - 136 + 397, 3*i + 487 = 4*o. Let h = 93 - 53. What is the remainder when o is divided by h?
38
Suppose -4*h - 52*r = -49*r - 169, -2*h = -2*r - 88. Suppose 175 = h*u - 40. Calculate the remainder when 243 is divided by u.
3
Let b = -4 - -9. Suppose 3*h - b*m - 284 = 0, 0*m - 369 = -4*h - 3*m. Let k = 2080 - 2061. Calculate the remainder when h is divided by k.
17
Let n = -159 + 165. Calculate the remainder when 1/n + (-1430)/(-60) + -12 is divided by 2.
0
Let h(l) = 31*l**2 + l + 9. Suppose 0 = -4*c + 3*k + 6 + 1, 3*k = 5*c - 5. Calculate the remainder when h(c) is divided by 19.
17
Let s(f) = -16*f**3 + 993*f**2 - 62*f + 2. Suppose -3*r = -5*x - 52 - 3, -3*r + 47 = -x. What is the remainder when r is divided by s(62)?
1
Suppose -54 = 17*p - 23*p. Suppose 5*v + j - 3*j - 42 = 0, -j = -4. Calculate the remainder when (-1 + -12)/(v - 11) is divided by p.
4
Let m = -663 - -691. Suppose 4*r - 143 - 297 = 0. Calculate the remainder when r is divided by (-46)/(-2) + (-7)/(49/m).
15
Let f = -67 + -7. Let q = -33 - f. What is the remainder when (8 - 35)/(4/(-24)) is divided by q?
39
Let w = 19 + -10. Suppose -4*k - 4*t + 4 = -8*k, k = -4*t + w. What is the remainder when 18 is divided by (-16)/6*((-15)/6 + k)?
2
Let u = 450 + -428. Calculate the remainder when 233 is divided by 2/(3596/16027 + (-4)/u).
45
Suppose w + 15 = 4*w, -w + 7 = r. Suppose -21294 = -43*b + 4*b. Suppose 5*m + r*m = b. What is the remainder when m is divided by 16?
14
Suppose 2180*i = 2209*i - 20967. Calculate the remainder when i is divided by 26.
21
Let w = -566 - -851. Suppose -w = -6*u - 75. Calculate the remainder when u is divided by 6.
5
Suppose 9155 + 6167 = 85*t + 78*t. Calculate the remainder when 102 is divided by t.
8
Let j = -9338 - -9562. What is the remainder when j is divided by 222?
2
Let r(f) = 8. Let n(q) = -407*q + 51. Let k(z) = n(z) - 4*r(z). What is the remainder when k(-1) is divided by 48?
42
Let x(a) = a**2 - 4*a + 8. Let s be x(-9). Suppose -139 = -4*g + s. Let q = 119 - g. Calculate the remainder when q is divided by 29.
24
Let n = -4480 - -4594. Calculate the remainder when 910 is divided by n.
112
Suppose 0 = -2244*f + 2274*f - 188910. Calculate the remainder when f is divided by 28.
25
Calculate the remainder when 1698 is divided by 294/7 + (7 - -1).
48
Let h be (9 + -3)*1/(-3). Let n be (3/h)/((-4)/16). Suppose 0 = 11*q - n*q - 60. What is the remainder when 57 is divided by q?
9
Suppose -3*v - s - 75 = -261, 5*s = 5*v - 370. Suppose 5*f + 2*h = 111, -4*f - 4*h - 10 + 106 = 0. Calculate the remainder when v is divided by f.
2
Let p = -268 + 272. Suppose 0 = -2*s - 4*x + 18, -p*s - 15 = 4*x - 67. Calculate the remainder when 65 is divided by s.
14
Let y = 28 + 3. Let d = 17 - y. What is the remainder when 4 + d*(2 + -6) is divided by 16?
12
Suppose 51*x = 56*x - 125. Suppose 5*l - 35 - 20 = -3*o, -25 = -3*o + l. Let n = o + x. What is the remainder when 207 is divided by n?
32
Calculate the remainder when 435 is divided by (-19 - (-65)/5) + 117.
102
Let i(a) = 98*a**2 + 81*a - 246. What is the remainder when i(3) is divided by 42?
39
Suppose h + h - 9 = s, -2*h + 4*s + 6 = 0. Calculate the remainder when (-1)/h - (-2349)/45 is divided by 14.
10
Suppose 0 = -3*v + 12 - 18, -778 = -3*d + 5*v. Suppose 2*r + 4*q = d, q + 276 = 2*r - 0*q. What is the remainder when r is divided by 14?
10
Let w be (2816/320)/((-2)/(-45)). Suppose -b - w = -12*b. Calculate the remainder when 123 is divided by b.
15
Let j(g) = 287*g + 3481. Calculate the remainder when j(-11) is divided by 36.
0
Let o be (-22 - -7) + 0 + -2. Suppose -3*l + 2*l - 2*c = -22, 2*c = -5*l + 110. What is the remainder when l is divided by (-9 + o)*1/(-2)?
9
Let y = 5573 + -5339. Let k(b) = -b**2 - 6*b - 3. Let m be k(-3). Suppose -m*p + y = -4*p. Calculate the remainder when p is divided by 24.
21
Let p be 1539/(-6)*(-29 + 15). Suppose 3*m + 1146 = p. What is the remainder when m is divided by 19?
17
Let x = -269 - -593. Let o = x + -95. Let j = o + -121. Calculate the remainder when j is divided by 22.
20
Let a(l) = -918*l + 3893. Calculate the remainder when 456 is divided by a(4).
14
Suppose 919*t - 933*t = -4452. What is the remainder when t is divided by 41?
31
Let p(w) be the second derivative of -10*w**3/3 - 2*w**2 - w + 55. What is the remainder when 56 is divided by p(-1)?
8
Let f be (0 + (-1 - (-4)/8))*-6. Suppose -2 = -3*g + 3*r + 7, 4*g + 5*r - f = 0. What is the remainder when ((-32)/(-24))/(g/117) is divided by 20?
18
Let q(n) = n**2 - 36*n - 87. What is the remainder when 273/(-7)*(1 - (4 + 0)) is divided by q(39)?
27
Suppose 106*r - 107*r = -271. Suppose 7*q - 418 = -r. What is the remainder when q is divided by 13?
8
Suppose 2*o - 348 = 2*q, -88*o + 562 = -85*o + 5*q. What is the remainder when o is divided by 31?
24
Let m(v) = v**3 - 39*v**2 - v + 110. Calculate the remainder when 168 is divided by m(39).
26
Let r = 111 - 55. Let z be 192/(-10) - (-4)/20. Let f = z + r. What is the remainder when f is divided by 21?
16
Suppose -3148*p + 3133*p + 915 = 0. Calculate the remainder when 1899 is divided by p.
8
Suppose -6*h - 628 = -9790. Calculate the remainder when h is divided by 306.
303
Let t(v) be the first derivative of -v**4/4 + 2*v**3 - 3*v**2 + 5*v - 11. Let j be t(7). Let u = -24 - j. Calculate the remainder when u is divided by 22.
18
Suppose -208 = -4*m + 3*f, -4*m - 57*f = -52*f - 176. What is the remainder when 483 is divided by m?
42
Suppose -2*x - 161 + 301 = 4*t, -3*x = -5*t + 197. Calculate the remainder when 2842 is divided by t.
30
Let k(y) = -301*y - 111. Calculate the remainder when 8164 is divided by k(-1).
184
Let b = -11467 - -11518. Calculate the remainder when b is divided by 14.
9
Let j be (-147)/56*-2*8. Suppose -2*t + j = -134. What is the remainder when t is divided by 6?
4
Let n(c) = 288*c + 1459. What is the remainder when n(-5) is divided by (0 - -10)*(7 + 4)/11?
9
Let t = 7 + 3. Let c(l) be the third derivative of 7*l**5/60 + 11*l**4/12 - 11*l**3/3 - 496*l**2. What is the remainder when c(-7) is divided by t?
7
Let n(m) = 2*m - 33. Let o be n(21). Let g be (-5)/(-25) + o/5. Suppose 2*y - 53 = -5*f - y, -3*f + g*y + 47 = 0. What is the remainder when 51 is divided by f?
12
Let j = 7 + -11. Let r be ((2 + -4)/(-1))/(j/(-94)). Suppose r = 2*i + 9. Calculate the remainder when 94 is divided by i.
18
Suppose 3*r - 8 = -2. Suppose -3*y + 3*n + 92 = r*n, y - 28 = -n. Calculate the remainder when 2639/(-1183)*676/(-13) is divided by y.
26
Suppose 0 = 23*w + w + 8568. Let t = w - -423. What is the remainder when 127 is divided by t?
61
Let s(b) = 2*b**2 - 6*b + 3. Let v be s(3). Let m(u) = -2*u + 25. What is the remainder when m(v) is divided by 15?
4
Let b = 75 + -64. Let m = 71 - -25. Let c = -56 + m. What is the remainder when c is divided by b?
7
Suppose -30*c + 223 = -160 - 127. Calculate the remainder when 3024 is divided by c.
15
Suppose -157 + 10 = 4*o - 25*o. What is the remainder when 20 - (-2)/(-1*2) is divided by o?
5
Suppose -6*i - 2*v = -i - 407, 403 = 5*i - 2*v. What is the remainder when (-6482)/(-27) + 458/(-6183) is divided by i?
78
Suppose 11*k - 7259 = 3477. Let f = k + -964. Let r(d) = 2*d**2 - 3*d + 7. Calculate the remainder when r(5) is divided by f.
6
Suppose -g - 111 = -91. Let p(k) = -5*k + 38. What is the remainder when p(g) is divided by 29?
22
Suppose -3*g + 56 = -5*v, -5*g - 4*v + 51 = -67. Let r(s) = 2*s**3 + 96*s**2 - 26*s - 193. Calculate the remainder when r(-48) is divided by g.
21
Suppose 0*u = -2*u + 4. Let v be 0 + -6 + 6 + 0. Suppose v = -u*q + 6*q - 176. What is the remainder when q is divided by 9?
8
Suppose 2*l - 115 = -3*l. Let d be 2*((1 - 4 - 1) + 6). Suppose 4*y = d*x - 40, -x + 5*y + 0*y + 2 = 0. Calculate the remainder when l is divided by x.
11
Suppose -19*q - 1221 = -31*q - 93. Calculate the remainder when 357 is divided by q.
75
Let f(i) = -2*i**3 - 10*i**2 + 2*i - 4. Let x = -613 + 660. What is the remainder when f(-7) is divided by x?
37
Let o be (-2 - 16/(-6))/((-11)/495). What is the remainder when 4/14 + 320/7 is divided by (-4)/((-60)/3) + (-354)/o?
10
Let l(x) = 4*x**3 + 26*x**2 + 5*x + 11. Let a = -180 + 