e (177/4)/(k*(-1)/64). What is the remainder when 53 is divided by p/18 + 2/6?
13
Let d = 59 + -180. Let w = d + 152. Suppose -4*q + 2*c + 70 = 0, -2*c + 0*c + 74 = 5*q. What is the remainder when w is divided by q?
15
Let i(m) be the third derivative of m**6/120 - m**5/6 - 55*m**4/24 + 7*m**3/2 + 42*m**2 - 2. What is the remainder when 138 is divided by i(14)?
33
Suppose 0 = 8*w + 25 - 97. Let h be 11/11 - (-4)/2. Suppose 18 = -h*b + 6*b. Calculate the remainder when w is divided by b.
3
Let n(l) = 329*l - 5739. What is the remainder when 5668 is divided by n(18)?
178
Let k = 30034 - 29868. Calculate the remainder when 517 is divided by k.
19
Let s(z) = z**2 + 4*z + 107. What is the remainder when s(8) is divided by 66?
5
Suppose 8*i - i = 273. Let f = 48 - i. Suppose -f*h + 140 = -76. What is the remainder when 94 is divided by h?
22
Let n = 109 - 166. Let q = 76 + n. Calculate the remainder when (-45)/(-30)*(32 + 0) is divided by q.
10
Suppose 3*b + 3*o = 359 + 19, 3*b = 5*o + 402. Let c(n) = 3*n**2 - 107*n - 630. What is the remainder when b is divided by c(41)?
25
Suppose 1862 = 173*c - 7134. What is the remainder when 414 is divided by c?
50
Suppose 12 = 7*h - 11*h, -5*h - 6 = n. Suppose n*c = 49 + 509. Calculate the remainder when c is divided by 9.
8
Let d = -186 + 187. Calculate the remainder when 48 is divided by 44/(-4)*d*(3 + -4).
4
Calculate the remainder when 336 is divided by 9/(-5)*(-90250)/2166.
36
Let d be 12/9*5/40*90. Calculate the remainder when d/((-10)/15 - -1) is divided by 13.
6
Suppose -37*a = -25*a - 17*a + 6290. What is the remainder when a is divided by 23?
16
Suppose -r + 557 = -a, 0 = -3*r + 336*a - 335*a + 1663. What is the remainder when r is divided by 26?
7
Calculate the remainder when 5/(10/802) - -2 is divided by 47*38/22 - (-8)/(-44).
79
Suppose -z = -0*a + 2*a - 12, -12 = -3*z. Suppose 0 = r - 2*c + 25 - 305, -c - 1106 = -a*r. What is the remainder when r is divided by 31?
28
Let o = -302 - -302. Suppose o + 4 = l, 3*l - 44 = -x. Calculate the remainder when 109 is divided by x.
13
Let c(v) = -30*v + 942. Calculate the remainder when c(5) is divided by 21.
15
Suppose -i - 188*u = -187*u - 466, 0 = -i - 4*u + 454. What is the remainder when i is divided by 30?
20
Suppose 4*h = 3*j - 29, 5*j + 38 = -3*h + 4*j. Calculate the remainder when (h - -7)*1/4 + 139 is divided by 48.
42
Suppose 0 = 4*f - 18*f + 4102. Let a = 403 - f. Suppose 4*s - 103 = -0*i - 3*i, -2*i - 90 = -3*s. What is the remainder when a is divided by s?
26
Let s be 760*(12/5)/(14/14). Suppose 16*w - 13*w - s = 0. Suppose 0 = 10*y - 202 - w. What is the remainder when y is divided by 6?
3
Let t(w) = w**3 + 15*w**2 + 20*w - 29. Calculate the remainder when 1221 is divided by t(-13).
45
Let w(f) = -f + 5. Let o be w(5). Suppose 8*p - 3*p - 30 = o. Suppose 0 = -5*r - 184 + 154, 3*j - 126 = 5*r. Calculate the remainder when j is divided by p.
2
Let i(f) = 2*f**3 + 12*f**2 + 12*f - 1. Let c be i(-5). Let u(o) = 6*o + 123. Calculate the remainder when 170 is divided by u(c).
56
Let w = -4896 + 7110. Calculate the remainder when w is divided by 14.
2
Let s be (-2)/31 - (-213237)/2697. Let f = s + -25. What is the remainder when f is divided by 30?
24
Let x be (-29 - -1)*(2 - (-10)/(-4)). Let u = x - -112. Suppose 4*b - 10*b = -u. Calculate the remainder when b is divided by 11.
10
Suppose -24*t - 225*t + 7388 + 2074 = 0. Calculate the remainder when 277 is divided by t.
11
Suppose 3844 = 20*b - 236. Calculate the remainder when 126*((-13)/(-34) - (-24)/b) is divided by 23.
17
Let q(m) = 22*m - 10. Let c be q(1). Suppose c*p - 188 = -68. Calculate the remainder when 98 is divided by p.
8
Suppose 0 = -5*z + 2*y + 192, -243*y - 148 = -4*z - 240*y. What is the remainder when 112 is divided by z?
32
Let m(b) = -9*b**2 + b - 10*b + 23*b - 4 + 24*b. What is the remainder when m(3) is divided by 9?
2
Let d(u) = 4*u**2 + 24*u - 132. What is the remainder when 6030 is divided by d(7)?
230
Suppose 4240 = -124*i - 153*i + 297*i. What is the remainder when i is divided by 23?
5
Suppose 38863 = 47*a + 7843. Calculate the remainder when a is divided by 199.
63
Let g = -36 - -11. Suppose 0*k = -3*k + 15. Calculate the remainder when (-21638)/(-775) - 2/g is divided by k.
3
Let l(d) = 8*d - 60. Suppose 19*v + 2*v = 273. Calculate the remainder when l(12) is divided by v.
10
Let k(j) = 3*j**3 - 10*j**2 + j - 3. Let y = -31 + 62. Let u = y + 31. Calculate the remainder when u is divided by k(4).
29
Let y = 1857 + 2604. Calculate the remainder when y is divided by 3.
0
Let o(s) be the second derivative of 5*s**4/6 + s**3/2 + 5*s**2/2 - 9*s. Calculate the remainder when o(-2) is divided by 6.
3
Suppose 10*q + 1 = 21. Suppose 3*k = -q*w + 104, -3*w + 139 = 4*k - 0*w. What is the remainder when k is divided by 10?
4
Suppose 0 = 3*d - t - 383, 0 = 4*t - 32 + 28. Suppose -d = -9*l + 43. Let w(m) = -m**3 + 11*m**2 - 7*m + 2. Calculate the remainder when w(7) is divided by l.
16
Let l = 64 - -1. Let n(g) = 2*g**3 - 37*g + 7 - 7*g**2 + 39*g + 0 + 2*g**2. What is the remainder when l is divided by n(3)?
21
Suppose 61*j - 80993 = 55098. Calculate the remainder when j is divided by 7.
5
Suppose -6*k + 7*k - 36 = 0. Suppose 0 = b - 5*b + k. What is the remainder when 52 is divided by b?
7
What is the remainder when 2 - (-21 + 9303/(-28) + (-3)/4) is divided by 354?
2
Suppose 3*o - 50 = 2*w + 19, w = 5*o - 115. Let g(k) = 5*k - 102. Calculate the remainder when g(o) is divided by 5.
3
Suppose -2*g - 98 = -96. Let p = -45 - -76. Calculate the remainder when g + 54 + 3/(0 + 1) is divided by p.
25
Suppose 0 = -4*m + 5 - 9. Let f(a) = -3*a**3 + a + 1. Let d be f(m). Let y = 10 + d. Calculate the remainder when 75 is divided by y.
10
Let n = 1311 + -1107. What is the remainder when n is divided by 42?
36
What is the remainder when 203 is divided by (-4902)/(-1806) + 18/14?
3
Let x(z) = -3. Let m(v) = -2*v - 14. Let t(k) = m(k) - 12*x(k). What is the remainder when 3175/35 - (-2)/7 is divided by t(-12)?
45
Let b = -10691 + 10908. Calculate the remainder when 3688 is divided by b.
216
Let c = 54 - 37. Let k(i) = 112*i**2 - i + 2. Let o be k(-1). Let m = o + -109. What is the remainder when c is divided by m?
5
Let i = -14 + 20. Let a = 5 + 25. What is the remainder when (-11 + 1)*(-45)/a is divided by i?
3
Suppose -12*l + 245 = -223. Calculate the remainder when 92 is divided by 1359/l + -5*(-10)/325.
22
Suppose 2*a + a = 5*c + 50, 46 = 5*a + c. What is the remainder when -51*((-103)/33 - 36/66) is divided by a?
7
Let i = -66 + 15. Let v = i + 54. Suppose 3*n = -n - 4*l + 68, -n + 1 = -v*l. Calculate the remainder when 51 is divided by n.
12
Let m = 10 - -4. Let p = 474998 - 474981. Calculate the remainder when p is divided by m.
3
What is the remainder when (64/(-1))/(-3 + 2) is divided by (2 + 0)/(66/594)?
10
Suppose 0 = -118*x + 6595 + 2137. Calculate the remainder when x is divided by 44.
30
Let v(h) = 212*h + 2738. What is the remainder when v(-11) is divided by 25?
6
Let l = 5496 + -820. Calculate the remainder when l is divided by 120.
116
Suppose -23*f = -13*f - 1160. Suppose 146*m - f = 142*m. What is the remainder when m is divided by 18?
11
Let b(m) = m**3 - 3*m**2 - 65*m - 6. Let l be b(-7). Let s(k) = k**2 + 43*k + 134. What is the remainder when 205 is divided by s(l)?
49
Let u = -42133 + 42161. Calculate the remainder when 159 is divided by u.
19
What is the remainder when 7134 is divided by (61/5)/(2/10)?
58
Let a = 213 + 740. Suppose 4*o + 5*m - a = 0, m + m = 5*o - 1216. What is the remainder when o is divided by 49?
46
What is the remainder when (322/69 + -5)/(1/(-813)) is divided by 14?
5
Let l = 184 - 177. What is the remainder when (-263 + l + -10)*2/(-2) is divided by 39?
32
Suppose 0 = 3*v + 1 - 46. Suppose -3848 - 12595 = -189*k. What is the remainder when k is divided by v?
12
Let t = 41 - 38. Suppose 5*v + 0*k - 5*k - 565 = 0, t*k - 226 = -2*v. Suppose 6*s - v + 17 = 0. What is the remainder when 125 is divided by s?
13
Suppose 0 = 42*a - 29134 + 7756. Let n = -496 + a. Calculate the remainder when 90 is divided by n.
12
Let n(t) = -t + 31. Let m be n(21). Calculate the remainder when 678/m + (2 - (-18)/(-10)) is divided by 18.
14
Let u(o) = -o**2 + 8*o + 2