i - 17 = 0, 2*f + 16 = 2*i. Let o = f - -50. Calculate the remainder when c is divided by o.
43
Let r = -510 - -522. Suppose 291 - 15 = r*d. What is the remainder when d is divided by 2?
1
Let w = -6930 + 7608. What is the remainder when w is divided by 11?
7
Let l(i) = 445*i + 1867. Let m = -1073 - -1504. Calculate the remainder when m is divided by l(-4).
83
Let c = -7582 + 10911. What is the remainder when c is divided by 74?
73
Suppose -276*r + 121208 = 5012. Calculate the remainder when r is divided by 210.
1
Let b = 225 - 221. Suppose 61 = -b*w + 105. What is the remainder when 18 is divided by w?
7
Suppose -t = 5*i - 285, -3*i + 228 = i + 5*t. Suppose -4*p = 5*b - 209, -67 = -2*p + 5*b + 30. Let z = p + -22. What is the remainder when i is divided by z?
28
Let k be 34 + -3 + (0 - -2). Suppose 2*x - k = 5*l, 5*l + 14 = -11. Suppose x = u + g - 3*g, -3*g + 9 = 0. Calculate the remainder when 29 is divided by u.
9
Let u(s) = -9*s - 122. Let h = 416 - 431. Suppose -d - 4*b + 49 = 0, 0*d - 3*d - 5*b + 126 = 0. What is the remainder when d is divided by u(h)?
11
Let o(j) = j**2 - 14*j - 108. Let l be o(20). Suppose -628 = -4*z - 4*t, -l*z - 481 = -15*z - t. What is the remainder when z is divided by 56?
50
Let w(h) = -74*h + 32*h + 22 + 36*h + h**2. Calculate the remainder when 38 is divided by w(6).
16
Let z(j) = 3*j**2 + 11*j + 16. Let n be z(-2). Calculate the remainder when (468/21)/(n/28) is divided by 27.
23
Suppose -5*m + 7 + 37 = z, m = 5. What is the remainder when 188 is divided by z?
17
Suppose -252*j + 260*j = 800. Calculate the remainder when 8594 is divided by j.
94
Suppose -x = 5*p - 39, 12 = -4*x + 114*p - 110*p. What is the remainder when 3 - (0 - (3 + 3)) is divided by x?
1
Suppose 4*m - p - 714 = 0, -31*m + 3*p - 528 = -34*m. Suppose 36 = -2*k + m. What is the remainder when 131 is divided by k?
60
Let b(k) = -35*k - 16. Let a(o) = 12*o + 5. Let m(y) = 11*a(y) + 4*b(y). Calculate the remainder when 28 is divided by m(-3).
13
Let h(s) = -82*s**2 - 502*s + 5. Suppose -a + 3*a - 42 = d, d = 3*a - 64. What is the remainder when h(-6) is divided by a?
21
Let t(z) = -z**2 - 33*z + 1399. Calculate the remainder when t(-51) is divided by 40.
1
Let b = 3085 + -3067. Let f = -15 - -18. Suppose 0 = -2*w - f*k + 77, k = 4*w + 2*k - 139. What is the remainder when w is divided by b?
16
Let l = 2291 + -2146. What is the remainder when l is divided by 143?
2
Suppose -100 = -2*h - 3*l, -60*h + 63*h - 4*l = 133. Suppose 5*i - 5*w = -w + 207, -i + h = 2*w. Calculate the remainder when i is divided by 12.
7
Suppose u + 8*u - 132897 = -22*u. Calculate the remainder when u is divided by 13.
10
Let k(f) = -f**3 + 20*f**2 - 49*f - 6. Let p be k(3). Suppose -5*j + 0*x - 5*x + 130 = p, -4*x = -5*j + 130. Calculate the remainder when 155 is divided by j.
25
Suppose 4*x - 28*p + 32*p = 2708, -4*p - 3358 = -5*x. Calculate the remainder when x is divided by 112.
2
Suppose -25*v + 2*v + 94878 = 103*v. What is the remainder when v is divided by 353?
47
What is the remainder when 391 is divided by 13284/117 + (-48)/(-104)?
49
Let z = -1285 + 1912. Suppose -5*o - 276 = 2*n - 445, 3*o + 2*n - 99 = 0. What is the remainder when z is divided by o?
32
Suppose 0 = -6*x - 2*x - 16. Let n be x - (-2 + -1 + -1). Calculate the remainder when (-69*(-3)/(-18))/(n/(-4)) is divided by 5.
3
Let z be -12*(-9)/12 + -3. Suppose -3*f - 4*c + 15 = 0, -4*c + z = -f + 3*f. Suppose -o = f*o - 280. Calculate the remainder when o is divided by 10.
8
Let h(m) be the second derivative of -m**3/3 - 5*m**2/2 - 34*m. Let t(v) = v**3 - 5*v**2 - 5. Let k be t(5). What is the remainder when 8 is divided by h(k)?
3
Suppose 13 = 3*i + 1. Suppose 0*x = o - i*x - 24, 3*o = -5*x + 140. Suppose 4*g = 60 - o. What is the remainder when 14 is divided by g?
4
Let s(y) = 5*y**3 + 2*y - 2. Let o be s(2). Suppose -6 + o = 3*f. Suppose 2*a - 80 = -2*z, 2*z + 3 = -a + 84. What is the remainder when z is divided by f?
5
Calculate the remainder when 3/2 + (-42)/12 - (-37 + 21) is divided by 2/6 + 115/15.
6
Let i(k) = -3*k + 62 + 62 + 14*k**2 + 60 - 183. Calculate the remainder when 18 is divided by i(1).
6
Suppose 18843 = 184*v - 3053. Let y = -31 - -71. What is the remainder when v is divided by y?
39
Let g = 64 - 32. Calculate the remainder when g is divided by 4080/432 + 14/9.
10
Let d = -133 + 366. Suppose 31*z - 108 = d. What is the remainder when 128 is divided by z?
7
Let i = 168 + -102. Suppose 8*q = 6*q + i. What is the remainder when 65 is divided by q?
32
Suppose 3*t + a = -1276, 2*a + 2 = 3*a. Let z = 445 + t. Let f(b) = -3*b**3 - 3*b**2 - b - 2. Calculate the remainder when z is divided by f(-2).
7
Let k be (99 - 0) + 3 - -3. Suppose g - j = -g + k, 4*j = -2*g + 90. Let c = -12 + g. Calculate the remainder when 152 is divided by c.
35
Suppose 2*v + 15*u - 10*u - 13 = 0, u = -v + 2. Let d(n) = -n**3 + 8*n**2 - 7*n + 8. Calculate the remainder when (3 - (-14 + -28))*(2 + v) is divided by d(7).
5
Suppose 2*w + 26 = 4*w. Suppose 0 = 6*f - 7*f + 205. What is the remainder when f is divided by w?
10
Calculate the remainder when 110 is divided by 2908/(-10178) - (-1 - (-382)/(-14)).
26
Let r(f) = 7*f**2 + 630*f + 28. Calculate the remainder when 204 is divided by r(-90).
8
Suppose -5*l + 64037 = 4*b, 0 = 1129*l - 1134*l + 5*b + 64055. Calculate the remainder when l is divided by 61.
60
Let q be (-21 - -21)/(-2 + 1). Suppose q = -v + 41 + 74. What is the remainder when v is divided by 58?
57
Suppose 5*g - 672 = -2*g. Suppose 13*y + g = 343. What is the remainder when y is divided by (-8)/(-2)*10/4?
9
Suppose -15 + 2215 = 25*w. Let f be (-142)/(-6) + 6/(-9). Suppose -2*x + f = -x. Calculate the remainder when w is divided by x.
19
Let a(t) = 80*t - 4. Let x be 54/(-36)*(-2)/(-3). Let m be a(x). Calculate the remainder when (-35)/m*6*(-222)/(-5) is divided by 23.
19
Let z = 23244 - 22988. Calculate the remainder when 1039 is divided by z.
15
Suppose 174 = 3*g - j + 35, -5*g + 243 = 4*j. Suppose -y + 6*y - 806 = -f, y - 146 = -4*f. Calculate the remainder when y is divided by g.
21
Let j(v) = -v**3 - 22*v**2 - 140*v - 2015. What is the remainder when j(-24) is divided by 69?
13
Suppose -n + 14*h + 23 = 13*h, 3*h - 123 = -5*n. Calculate the remainder when 319 is divided by n.
7
Let i = -85 + 167. Suppose -19 - 1 = -5*m, 0 = 5*w - 2*m - i. Suppose 16*f - 380 = 1044. Calculate the remainder when f is divided by w.
17
Suppose 8*i - 12*i = -108. Suppose 26 = -z + i. Let t(k) = -k + 5. Calculate the remainder when t(4) is divided by z.
0
Suppose 3*v = -4*s + 67, 78 + 12 = 4*v + 5*s. Let n be 2/(-8)*-2*0/29. Suppose 13*f + n*f - 572 = 0. What is the remainder when f is divided by v?
19
Let n(y) be the first derivative of 5*y**2 - 290*y + 249. What is the remainder when n(36) is divided by 19?
13
Let s = -51 + 299. Suppose -k = 4*m - s, 43 = m - k + 6*k. Suppose -m = -6*u + 171. Calculate the remainder when u is divided by 15.
9
What is the remainder when 240 is divided by 7/((-98)/140) - -91?
78
Let r(z) = z**2 + 96*z + 1580. Calculate the remainder when 323 is divided by r(-21).
3
Suppose -10*p - 364 = -23*p. Suppose -51 = -2*n + 35. Let c = n - 32. Calculate the remainder when p is divided by c.
6
Suppose -7*l = -6*l + 3*o - 94, 4*o - 481 = -5*l. Let x(g) = g**3 - 10*g**2 + 2*g. Let c = 27 + -17. Calculate the remainder when l is divided by x(c).
17
Let a = 28 - 89. Let j = a + 62. What is the remainder when ((-69)/(-46))/(j/2) is divided by 3?
0
Suppose 686*q = 5474 + 6188. What is the remainder when 1385 is divided by q?
8
Let w = -77 + -11. Let a = w + 126. Calculate the remainder when 52 is divided by a.
14
Suppose 3*o + 96 = -5*o. Let q = o + 75. What is the remainder when q is divided by 11?
8
Calculate the remainder when 34 is divided by -2 + (2 - 39*(-16)/24).
8
Suppose 4*t - 122*l + 127*l = 34, 0 = -2*t + 3*l + 28. What is the remainder when 3717 is divided by t?
10
Suppose -5*d - 152 = -2*b, -5*b - 9*d + 418 = -12*d. What is the remainder when b is divided by 11?
9
Suppose 5*g - 18 + 73 = 0. Let i = 27 + g. Suppose -13 = 69*k - 62*k - 48. What is the remainder when i is divided by k?
1
Let w(i) = 74*i + 313. Calculate the remainder when 590/6 - (-4)/(-12) is divided by w(-4).
13
Let u(i) = i