12.
9
Let l(s) = -98*s - 810. What is the remainder when 414 is divided by l(-11)?
146
Let v(r) = -2*r**3 + 19*r**2 - 30*r + 9. Let k(a) = -a**2 + 24*a + 7. Let p be k(24). Calculate the remainder when 703 is divided by v(p).
43
Suppose 96 = 2*m + m + 2*j, -5*m + 4*j = -160. Let b = 33074 + -32955. What is the remainder when b is divided by m?
23
Let t(z) = -z**2 + 9*z - 9. Suppose 0 = 2*q - 195 + 187. Suppose q*b - 138 = -3*g + b, -5*b = 3*g - 142. Calculate the remainder when g is divided by t(6).
8
Suppose 8620 = -94*k + 49322. What is the remainder when k is divided by 214?
5
Suppose 571*c - 973275 = 143*c + 1111085. What is the remainder when c is divided by 23?
17
Let f be 2*12/8 - -23. Suppose -1 = -y + f. Suppose 26*q = 34*q - 840. Calculate the remainder when q is divided by y.
24
What is the remainder when 12/(44/11) - -163 is divided by (15/(-15))/((-2)/104)?
10
Let o(l) = -l**3 + 6*l**2 + 6*l. Let w be o(3). Suppose 4*z + 9 = w. Let q(x) = x**2 + 2. What is the remainder when z is divided by q(2)?
3
Suppose -2*r + 5269 = 9*r - 2299. What is the remainder when r is divided by 265?
158
Suppose 6*z - 7*z - 2*l + 181 = 0, 5*l = 20. Let b = z + -109. What is the remainder when 251 is divided by b?
59
Let w = 69 - 66. Suppose 611 = w*d + 4*m, 1 = -m - 0*m. Calculate the remainder when d is divided by 26.
23
Let j be 0 + 4/8 - (-18)/4. Suppose -2*p - 109 = -t, 559 = 5*t - p + j*p. What is the remainder when t is divided by 38?
35
Let c(y) = 3*y - 36. Let h be c(14). Let p(n) = n**2 - 11*n + 33. Let t be p(h). Let w = 43 - t. What is the remainder when w is divided by 22?
18
Let y = -12 - 23. Let h = -34 - y. Calculate the remainder when 5/(2*h/50) is divided by 18.
17
Let z(u) = -u - 11. Let d be z(-11). Let y be 221 + -2 + d + 1. Suppose x - y = -3*x. What is the remainder when x is divided by 7?
6
Suppose d + 3*d = -4*f + 3436, 2*f - 1715 = -3*d. Let z(w) = -49*w - 1471. What is the remainder when f is divided by z(-31)?
46
Suppose 0 = 13077*m - 13086*m + 3231. What is the remainder when m is divided by 10?
9
Let j(t) = -13*t**3 + 2*t**2 + 2*t + 2. Let q be j(-1). What is the remainder when 29 is divided by 42/q + -2 - (-184)/20?
9
Suppose 0 = -7*u + 6077 + 19795. Calculate the remainder when u is divided by 74.
70
Suppose v - 219 = l, -27 + 21 = -l. Calculate the remainder when v is divided by 46.
41
Suppose -x - 5*x + 264 = 0. Let l = -10 + 11. Suppose l = a - x. Calculate the remainder when a is divided by 16.
13
Let a(x) = -3*x**2 + 41*x - 38. Let z be a(11). Suppose 0 = 279*i - 277*i - z. What is the remainder when 96 is divided by i?
21
Suppose 29*y + 1010 - 3330 = 0. Calculate the remainder when 101 is divided by y.
21
Suppose -43*n = -116*n + 15038. Calculate the remainder when 452 is divided by n.
40
Suppose 0 = -46*f + 56348 + 58560. What is the remainder when f is divided by 20?
18
Let d(q) = -q**3 - 11*q**2 + 23*q - 59. Let t be d(-13). Let z(u) = -10*u - 115. Calculate the remainder when z(t) is divided by 4.
1
Suppose -62*t = -0*t + 17*t - 3555. What is the remainder when 1950/18 - (-4)/(-3) is divided by t?
17
Suppose -3*x - 554 + 1844 = 0. Suppose d + 241 = 5*z, 0 = -226*z + 233*z + d - 335. What is the remainder when x is divided by z?
46
Let h(j) = 202*j + 612. Calculate the remainder when h(8) is divided by 18.
14
Let k(m) = 3*m + 4. Let n be k(-2). Let f be (3/24*n)/((-1)/4). Calculate the remainder when (-28 - -26) + f*47 is divided by 13.
6
Let u be ((-410)/(-14) - 1)/(50/(-350)). Let h = 218 + u. What is the remainder when 97 is divided by h?
17
Let b = 2 + 98. Suppose 10*x - b = 5*x. Let v(m) = 45*m + 7. Calculate the remainder when v(2) is divided by x.
17
Suppose -2*h - 356 = -2*u, 5*h + 14 = u - 136. What is the remainder when 9802 is divided by u?
182
Calculate the remainder when 1591 is divided by ((-55)/(-22))/((-10)/(-172)).
0
Calculate the remainder when 2841/3 - (-9)/(63/14) is divided by 57.
37
Let v(i) = 2*i**3 - 5*i**2 - 3*i + 3. Suppose -2*r + 16 = -4. Suppose 13*j - r*j - 60 = 0. What is the remainder when v(4) is divided by j?
19
Suppose -29 + 1277 = 8*w. Suppose 4*b - 3*q - 114 = 0, -w = -5*b - 4*q + q. Calculate the remainder when 116 is divided by b.
26
Let b(n) = 5*n + n + 7 - 7*n. What is the remainder when b(-25) is divided by 22?
10
Let u(j) = 1 + j**2 + 0*j + 0 + 2*j**2 - 8*j. Let c be u(-4). Suppose 0*y - 3*y = -c. What is the remainder when 50 is divided by y?
23
Let c = 6 - -52. Let q = -76 + c. Calculate the remainder when 41 is divided by (-428)/q - (-2)/9.
17
What is the remainder when 55 - (90/50 + (-2)/(-10)) is divided by (-6)/10 - -1*(-290)/(-25)?
9
Let s(t) = t**2 - 60*t - 84 + 77*t - 12*t. Calculate the remainder when s(-16) is divided by 33.
26
Let k = -7527 + 7549. Let h = 551 - 312. Calculate the remainder when h is divided by k.
19
Suppose 0 = 64*g - 20*g - 5958 - 334. What is the remainder when 1006 is divided by g?
5
Let b = 1400 + -788. Let y = b + -593. Calculate the remainder when (-4)/(4/(-74)*1) is divided by y.
17
What is the remainder when 1818 is divided by 30/(-21)*(-21 - -2 - -12)?
8
Suppose 71*m - 16685 + 391 - 178 = 0. What is the remainder when m is divided by 21?
1
Suppose 0 = -2*h + 5*u - 1255, 182*u = -4*h + 183*u - 2519. Let s = h + 638. What is the remainder when 71 is divided by s?
7
Let a be 2 + (-16 - 3)*2. Let p = -93 + 138. Let v = p + a. Calculate the remainder when v is divided by 3.
0
Suppose 0 = z - 3 + 3. Suppose 3*a = -4*r - z + 47, 40 = 5*a - r. What is the remainder when ((-42)/(-49))/(a/84) is divided by 6?
2
Suppose 33 = n - o + 98, -3*n = 2*o + 210. Let z = n + 72. Suppose -t - 4*y = -2*t + 12, 60 = 5*t + 4*y. Calculate the remainder when t is divided by z.
0
Suppose -47 = 21*d - 131. Suppose 0*y + 5*y - 2*c - 56 = 0, -2*c = d*y - 34. Calculate the remainder when 38 is divided by y.
8
Suppose 11 - 32 = -7*j. Let s be (j/3)/(1/(-93)*1). Let i = s - -116. What is the remainder when 111 is divided by i?
19
Suppose 17*k = 15*k + 32. Suppose 22*g - k*g - 1266 = 0. What is the remainder when g is divided by 53?
52
Let w be 1/(1/7) - (-171)/(-57). Suppose w*h - 45 = -3*q, -25 = 4*h + 2*q - 67. What is the remainder when 28 is divided by h?
1
Let l be (-14)/(-3) + -5 + (-932)/(-6). Suppose 0 = -15*k + 10*k + 2*u + l, -3*k + 93 = 2*u. What is the remainder when 151 is divided by k?
27
Let g(c) = -c**3 - 4*c**2 + 3*c + 15. Suppose -5*k = -0*k + 20. Let h be g(k). Suppose h*q - 10*q + 91 = 0. Calculate the remainder when 37 is divided by q.
11
Suppose c = 3*s + 27, 5*s - 10*s - 4*c - 28 = 0. What is the remainder when 117 is divided by ((-2)/(-3))/(((-56)/315)/s)?
27
Suppose -13*i + 6461 = 5213. What is the remainder when 767 is divided by i?
95
Let p be -7 - 6/9*-18. Suppose -15*y + 12*y + 878 = -p*z, -3*z = -4*y + 1178. Calculate the remainder when y is divided by 23.
20
Let x = 34523 + -31181. Calculate the remainder when 10026 is divided by x.
0
What is the remainder when 204 is divided by (3 - (-5 - 1)) + -4 + 6 + 49?
24
What is the remainder when 27 + -47 - -13*103 is divided by 438?
5
Suppose -3*i - 3*c + 106 - 478 = 0, 3*i = 2*c - 367. Let l = -101 - i. Calculate the remainder when l is divided by 5.
2
Let w = -675 + 1194. Let d = w - 510. Suppose -3*u + 8*u = 125. What is the remainder when u is divided by d?
7
Let h = -92 - -137. Let s = -77 - -82. Suppose -121 - 534 = -s*a. Calculate the remainder when a is divided by h.
41
Let y(x) = x**3 - 19*x**2 - 18*x + 34. What is the remainder when 2071 is divided by y(20)?
73
Suppose 0 = 3*u + 2102*t - 2101*t - 2255, 0 = 5*t + 35. Calculate the remainder when u is divided by 753.
1
Let z be 5/10*4 - 2. Suppose 8*r - 7 - 857 = z. Calculate the remainder when r is divided by 49.
10
Let n(r) = 3*r**2 - r - 30. Suppose -2*d - 5 = 5*y - 22, -4*y + 4*d = -36. What is the remainder when 148 is divided by n(y)?
28
Let h = -349 - 31. Let l = -358 - h. What is the remainder when l is divided by 3?
1
Let j(a) = -a**3 + a**2 - 8*a - 3. Let f(i) = 5*i + 33. Let h be f(-8). Let b = h + 3. Calculate the remainder when j(b) is divided by 16.
13
What is the remainder when 382 is divided by 2*12 + (12/(-5))/((-210)/(-700))?
14
Let i(w) = 9*w - 1. Let z be i(2). Let c(r) = -3*r + 56. What is the remainder when (