-u*n + 688 = -170. What is the remainder when 196 is divided by n?
64
Let z = -11040 + 11114. Calculate the remainder when 2218 is divided by z.
72
Let d = -54 + 77. Suppose 39*v - 102754 + 99205 = 0. Calculate the remainder when v is divided by d.
22
Let v(q) = -91*q + 704. Calculate the remainder when v(6) is divided by 37.
10
Suppose -2*s + 4*n = -680, 0*s = -3*s - 5*n + 1053. Suppose -352*u + s*u + 990 = 0. What is the remainder when u is divided by 43?
36
Let a(l) = 46*l + 2427. Calculate the remainder when 3274 is divided by a(-49).
160
Let w = 105 - 96. Suppose 51 = -w*l + 12*l. Let s = 27 - l. What is the remainder when s is divided by 3?
1
Suppose 14*m - 52 = 10*m. Suppose 0*z - 2*o + 6 = 3*z, -5*z - 4*o = -8. Suppose z*t - 30 = 2*t. What is the remainder when t is divided by m?
2
Suppose 8956 = 160*z + 81*z - 6468. Calculate the remainder when z is divided by (-2)/(-3)*33/2.
9
Let g = 125 - -99. What is the remainder when (g/(-12))/((-4)/138) is divided by 38?
36
Let v be 502/(-3*2/3). Let x = v + 276. Calculate the remainder when x is divided by 13.
12
Let m = -15 - -22. Suppose 4*k + 84 = m*k. Suppose v = 3*v - 4*u - 258, 5*v = -4*u + 701. Calculate the remainder when v is divided by k.
25
Suppose 3*g = 12, h + 47 = 2*h + 6*g. What is the remainder when 377 is divided by h?
9
Let c be 17/(-34)*(3 + -5 - -2). Suppose 4*v = m - 129, -664 = -5*m + v - c*v. Calculate the remainder when m is divided by 9.
7
Calculate the remainder when 358 is divided by 33*(12 + (-1143)/99).
13
Let w(t) be the third derivative of -t**6/120 - t**5/6 + t**4/12 - 11*t**3/3 + 12*t**2. Calculate the remainder when w(-11) is divided by (-5)/((-10)/54) - 7.
17
Suppose 0 = 12*t - 27*t + 255. Let g(z) = -2*z**3 - z + 1. What is the remainder when g(-4) is divided by t?
14
Suppose 0*d + 70 = 5*d. Suppose 56*v = 54*v + 3*z + 9, -2*z - 11 = -3*v. What is the remainder when 0 + (-2 - -4) + d is divided by v?
1
Let u be (-4 - (-3 + 0)) + 2. Let q be (0 + u)/((-12)/(-60)). Suppose q*v - 2*x = 86 + 49, 5*v = -4*x + 135. What is the remainder when v is divided by 8?
3
Suppose 342 + 654 = 4*n. Let b = 921 + -871. What is the remainder when n is divided by b?
49
Let n(t) = 2*t**2 + 9*t - 312. What is the remainder when n(27) is divided by 12?
9
Suppose -14302 = 186*h - 18952. Let r = 39 + 74. Calculate the remainder when r is divided by h.
13
Calculate the remainder when 2/9 - (-8)/(-9) - (-1241993)/813 is divided by 1515.
12
Let f = 3158 - 3142. What is the remainder when 238 is divided by f?
14
Suppose -21 = 3*y, -393*y - 5057 = -3*x - 391*y. Calculate the remainder when x is divided by 99.
97
Suppose -2089 - 8299 = 28*h. Let o = 375 + h. Suppose 0 = -5*v + 4*s + 61, v + 3 = -3*s - 0. Calculate the remainder when v is divided by o.
1
Let x = 2955 - 2928. Calculate the remainder when x is divided by 9/(-3)*(-10)/6.
2
Suppose -4*q - 90 = -2*c, 3*q + 146 + 58 = 5*c. What is the remainder when 4 + 76*(-4 - -8)*1 is divided by c?
35
Suppose -4*l = -2*l - 4, 112 = 5*h - 4*l. Let i = -2814 + 2878. What is the remainder when i is divided by h?
16
Let m(t) = -t**2 - 5*t + 1. Let a be m(0). Let h be (5/25 + a)*(-70)/(-4). What is the remainder when 200 is divided by (6/10)/(h/1785)?
47
Suppose -2*r + 114 = n, -r + 37 + 19 = n. Suppose -r = -v - 0*v. Let d = 33 - 13. Calculate the remainder when v is divided by d.
18
Let p = -6303 + 6307. What is the remainder when 459 is divided by p?
3
Let p(t) = 18 + 7704*t + 21 - 7702*t. Calculate the remainder when 72 is divided by p(-6).
18
Suppose s = m + 302, -s + 407 = -2*m + 100. What is the remainder when s is divided by 40?
17
What is the remainder when 17804 is divided by (-156)/(-10)*280/168?
20
Let w(x) = x**2 + 6*x + 2. Let y be w(-5). Let h(z) = z - 3 + 0 + 11459*z**2 - 11453*z**2. Calculate the remainder when h(y) is divided by 17.
14
Suppose -11*g - 69*g + 40606 = -g. Calculate the remainder when g is divided by 134.
112
Let d(i) = 6721*i - 5847. What is the remainder when d(4) is divided by 134?
133
Let k(z) = 6*z**2 - 435*z - 1804. Let r(m) = m + 58. What is the remainder when r(0) is divided by k(-4)?
26
Let f = 15091 + -15053. Calculate the remainder when f is divided by (21/(-2))/(3/(-4)).
10
Let i(x) = -105*x - 142. What is the remainder when 243 is divided by i(-2)?
39
Let l = -20620 + 20685. Calculate the remainder when 5255 is divided by l.
55
Let d be (120/(-150))/((-4)/10). Suppose 0*m - d*m = -2*z - 854, 5*z - 403 = -m. Calculate the remainder when m is divided by 17.
15
Let c(n) = 3*n**2 - 27*n + 5. Let z be c(9). Suppose -2*l + 197 = 4*y - 1171, 1696 = z*y - l. What is the remainder when y is divided by 57?
55
Let o = 63 - 70. What is the remainder when 106 is divided by (68 - -9)*(-2)/o?
18
Let w = 1 + 0. Let x(p) = 20*p**3 + 15*p**2 + 13*p**2 + 13*p**2 + 1 - 58*p**2 + 15*p**2. What is the remainder when 94 is divided by x(w)?
18
Suppose -30*r + 880 = 5*q - 32*r, 0 = 4*r + 20. What is the remainder when 1213 is divided by q?
169
Let z be (6 + -3 + -1)*6. Let n(b) = -132 + 15*b + 109 - 51*b**2 + 50*b**2. Calculate the remainder when 155 is divided by n(z).
12
Suppose 4*y + 5*p = 2*y + 52, 3*y - 2*p = 78. What is the remainder when 42 is divided by y - (3 + (-14)/2)?
12
Let d(b) = 19*b**2 - 5*b + 4. Let z be d(4). Suppose 4*g - z = g. Suppose -49*p = -46*p - g. Calculate the remainder when p is divided by 9.
5
Suppose 0 = r - 7*r + 696. Suppose 70 = 6*a - r. What is the remainder when 153 is divided by a?
29
Let u = -72 - 94. Let w = u + 197. Calculate the remainder when w is divided by 18.
13
Suppose 32*k - 102 - 346 = 0. Let t = k - 3. Calculate the remainder when 15 is divided by t.
4
Let x(l) = 29*l**2 - 3*l - 4. Suppose -f = 20*f - 244 + 34. What is the remainder when x(3) is divided by f?
8
Suppose -55 = 10*a - 135. Suppose -4*z - 50 = -3*d, 6*d + z = a*d - 30. What is the remainder when 54 is divided by d?
12
Calculate the remainder when 113 is divided by (-13 + 43)*(3 + -2 - 9/45).
17
Suppose -20*d - 23*d = -16*d - 12258. Calculate the remainder when d is divided by 104.
38
Let v(a) = 2*a**3 + 10*a**2 + a - 12. Let x = -405 + 401. Calculate the remainder when (-214)/(-6)*3/1 is divided by v(x).
11
Let g = 13946 + -8632. What is the remainder when g is divided by 72?
58
Suppose f - i = 17, 424 = 3*f - 5*i + 385. Calculate the remainder when 1461 is divided by f.
12
Let o = 194 + -95. Let l be (0 - 2)/((-6)/o). Let t = l + 2. What is the remainder when t is divided by 19?
16
Let y(a) be the first derivative of -a**2/2 + a - 4. Suppose 0 = 6*n - 1042 + 886. What is the remainder when n is divided by y(-10)?
4
Suppose 0 = 4*u - 21 + 29. Let b be (18/60*8)/(u/(-10)). Suppose 0 = -b*j + 9*j + 567. Calculate the remainder when j is divided by 38.
37
Let v = -3985 + -2005. Calculate the remainder when ((-10)/(-25))/((-4)/v) is divided by 14.
11
Suppose -4*j - 286 = -2*c, 6*c - 1181 + 344 = 5*j. What is the remainder when 1054 is divided by c?
95
Suppose -1 = -4*n + 15. What is the remainder when (n + -3)/(3/114) is divided by ((-60)/(-16))/((-3)/(-8))?
8
Suppose 2*r + 8 = 122. Suppose 3*j = 4*j + r. Let h = 69 - j. What is the remainder when h is divided by 16?
14
Suppose 0 = -128*z + 1140 + 2956. Calculate the remainder when 7167 is divided by z.
31
Let p = -2295 - -2478. Suppose 6*r - 2*r - 1564 = 0. Let h = r - p. What is the remainder when h is divided by 21?
19
Suppose 4*p + u - 9 = 3*p, 5*u = 4*p - 27. Let o = 8364 + -8349. What is the remainder when o is divided by p?
7
Let u(g) = g**3 - 5*g**2 - 20*g - 19. Let p be u(8). Suppose -p*w + 82 = -256. Calculate the remainder when 465 is divided by w.
23
Suppose -20*f + 471 = -829. Calculate the remainder when f is divided by 14.
9
Let y(o) = o**3 + 24*o**2 - 52*o + 10. Let c(z) be the first derivative of z**3/3 + 3*z**2 + 6*z + 20. What is the remainder when y(-26) is divided by c(-6)?
4
Let h(p) = 4*p - 15. Let l be h(10). Let m = l - -15. Suppose -17*d + 22*d = m. Calculate the remainder when 39 is divided by d.
7
Suppose 48 = 2*s + 5*q, 2*s - 84 = -2*s - 4*q. Suppose -2*l + 5*r = -173, 1346*l + 3*r + 309 = 1351*l. Calculate the remainder when l is divided by s.
16
Suppose -m + 15*m = -10*m + 1416. Calculate the remainder when 226 is divided by m.
49
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