- -71. Let n = 55 + c. What is the remainder when 5 is divided by n?
1
Let t = 2 + 0. Suppose -80 = -5*z + 4*c, t*z - 11 = c + 21. What is the remainder when (-72)/z*(-16)/12 is divided by 2?
0
Calculate the remainder when 132 is divided by ((-9)/(-15))/(18/210).
6
Let y(x) = -2*x + 4. Let l(c) = c**2 - 8*c + 30. Let h be -1 - -5 - (4 + -6)/1. Calculate the remainder when l(h) is divided by y(-3).
8
Let k(n) = -218*n + 5618. Calculate the remainder when k(-8) is divided by 263.
261
Suppose 14*p - 30*p + 1424 = 0. Let a be ((-1448)/3)/(-2) - 15/45. Let d = a - p. Calculate the remainder when d is divided by 31.
28
Let p(b) = 7*b - 68. Let j be p(20). Suppose -3*w = -141 - j. Calculate the remainder when w is divided by 20.
11
Let o(f) = -20*f + 4. Suppose 0 = -4*l - 8, l = -2*a + 4*a + 6. Calculate the remainder when 414 is divided by o(a).
78
Let y = 451 - 527. Let j = y - -100. What is the remainder when 92 is divided by j?
20
Let k be (12/4)/(3 + -2). Let h(v) = -4 - 13 + 12 - 8*v - k*v**3 + 11*v**2 + 2*v**3. Calculate the remainder when h(10) is divided by 12.
3
Let v = 58 + -49. Suppose -95*t - 94 = -96*t. Calculate the remainder when t is divided by v.
4
Suppose 4*y + 20*u - 16*u = 28, 8 = -y + 2*u. What is the remainder when 401 is divided by y?
1
Let y(z) = -23*z + 89. Let u(p) = -8*p + 30. Let v(f) = 11*u(f) - 4*y(f). Calculate the remainder when (129/(-86))/(((-6)/(-116))/(-1)) is divided by v(11).
11
What is the remainder when 839 + (-1 - -2) - (-35 + 27) is divided by 352?
144
Suppose 27*l = 781 + 3242. Suppose -2*o + l = 3*k, -o - 420 = -6*o + 2*k. Calculate the remainder when o is divided by 19.
6
Suppose 43 = -f - 0*f. Let d = f - -78. Suppose -3*z = 3*t - 231, t - 124 = -2*z + d. What is the remainder when z is divided by 28?
26
Suppose -3*t - 4*g + 319 = 0, -3*g + 324 = -142*t + 145*t. What is the remainder when 761 is divided by t?
83
Let t = 25 - 14. Suppose -3*z + 31 = -4*c, 2*c = z - 0*z - t. What is the remainder when 11 is divided by 8/12 + 66/z - 2?
5
Suppose 2*o - 11*o + 27 = 0. Suppose -20 = -o*g - g + 3*v, 3*v = 0. What is the remainder when 14 is divided by g?
4
What is the remainder when 619/2 + 5/((-80)/136) + 8 is divided by 106?
97
Let a(h) = 9*h**2 - 161*h + 60. What is the remainder when 164 is divided by a(18)?
8
Let u(f) = -f**2 + 37*f - 323. What is the remainder when 1075 is divided by u(18)?
11
Let j(m) = m**2 + m + 189. What is the remainder when j(-15) is divided by 58?
51
Suppose -13553 = -14*k - 5083. Calculate the remainder when k is divided by 22.
11
Let o(w) = 2*w + 30. Let z be o(-14). Let c be (184 - -13) + (1 - z). Let x = c - 131. What is the remainder when x is divided by 17?
14
Let c = -3835 - -7031. What is the remainder when c is divided by 25?
21
Suppose 1109*j = 1090*j + 931. Calculate the remainder when 267 is divided by j.
22
Let f = 77 + -74. Let d(w) = w + 233*w**f + w**2 - 135*w**3 - 3*w**2. What is the remainder when d(1) is divided by 7?
6
Let g = 28313 + -28183. Calculate the remainder when 719 is divided by g.
69
Let m(n) = 37*n**2 - n. Let f(t) = 147*t**2 - 4*t - 1. Let z(i) = -2*f(i) + 9*m(i). Let s be z(-3). What is the remainder when s/22 - 2/11 is divided by 9?
7
Let a = 198 - 182. Suppose -77 = -2*x + p, -2*x - 2*p + 14 = -54. What is the remainder when x is divided by a?
5
Let r(v) = -25*v + 813. Calculate the remainder when 5953 is divided by r(32).
12
Suppose -461 - 443 = -8*c. Calculate the remainder when c is divided by 104.
9
Suppose -1384 = -5*g - 2*v + 1912, -5*v = -4*g + 2650. What is the remainder when g is divided by 81?
12
Let g = -17 - -60. Suppose -4*k = -0*k + 44. Let s = k + g. What is the remainder when s is divided by 12?
8
Let c = -4082 - -4219. What is the remainder when c is divided by 87?
50
Let j(i) be the first derivative of i**4/4 - 13*i**3/3 + 6*i**2 - 8*i - 87. Calculate the remainder when j(13) is divided by 15.
13
Let m(f) = -f**2 - 2. Let p(i) = -i**2 + i + 14. Let n(d) = -4*m(d) - p(d). Calculate the remainder when n(5) is divided by 23.
22
Suppose 77 = 5*v - 3. Suppose 11535 = 149*x - 1577. What is the remainder when x is divided by v?
8
Let p = -174 + 174. Suppose -a + 3*r = -34, 5*a + 0*a + 3*r - 134 = p. Calculate the remainder when 163 is divided by a.
23
Suppose -6 = -6*b + 390. Let o = b - 66. Suppose 2*f - y = 57, o = f + y + 3*y - 51. Calculate the remainder when 153 is divided by f.
29
Let z(g) = 3*g - 34. Let w be z(13). Suppose w*d - 95 = 155. What is the remainder when 145 is divided by d?
45
Let g = -19 + 35. Suppose 0 = 14*c - 10*c + g, -5*q + 227 = 2*c. Calculate the remainder when q is divided by 6.
5
Let q(z) = -4*z - 1 + 2 + z**2 - 9 + 2. Let h(c) = 2*c**2 - 9*c - 12. Let b(f) = -4*h(f) + 9*q(f). What is the remainder when b(-6) is divided by 9?
3
Let l be -2 + 24/6 + 18. Let r = l - 3. What is the remainder when r is divided by 7?
3
Let o = 2971 - 2869. Calculate the remainder when 494 is divided by o.
86
Let s = 19 + -17. Suppose -3 = -a, 0 = 3*b + s*a + a - 18. Suppose -3*g = 3*n - 23 - 58, 0 = -3*g + b*n + 69. Calculate the remainder when g is divided by 14.
11
Suppose 2*v = 3*m - 4*m + 18, -1 = v + 3*m. Suppose -l - 9 + 206 = 0. What is the remainder when l is divided by v?
10
Let g(x) be the second derivative of 3*x**3 + x**2/2 - x. What is the remainder when 46 is divided by g(1)?
8
Suppose -56 = -4*i + 4*x, 5*x + 0*x - 25 = 0. Let s(z) = 368*z - 6570. What is the remainder when s(18) is divided by i?
16
Suppose -4*w + 87 = a + 2*a, 5*a - 68 = -3*w. What is the remainder when 1304 is divided by w?
2
Suppose -8*r + 208 = -4*r. Let f be -8 - -111 - (-2 - -3)*1. Suppose -2*z = 3*q - 25 - 63, f = 4*q - 5*z. What is the remainder when r is divided by q?
24
Let s be 552/54 - 6/27. Suppose 27 = s*f - 9*f. What is the remainder when f is divided by 4 - 0 - (-1 + -10)?
12
Let l(h) be the first derivative of -2*h**3 + 30 - 1/2*h**4 - 1/2*h**2 - 13*h. What is the remainder when l(-5) is divided by 47?
45
Let t = -1471 + 2547. Suppose -t = -57*c + 919. What is the remainder when 169 is divided by c?
29
Let m(u) = -248*u**3 + 2*u**2 + u. Calculate the remainder when m(-1) is divided by 3*(1120/30 - -3).
7
Calculate the remainder when 205 is divided by 32960/(-618)*12/(-10).
13
Suppose -208 - 782 = -33*n. Suppose -n*c + 38*c = 96. Calculate the remainder when 1211 is divided by c.
11
Let y(t) = -3*t**2 + 97*t + 72. Calculate the remainder when y(32) is divided by 89.
15
Let i(x) = 6*x**3 + 58*x**2 - 23*x + 5. Let g = -301 + 457. Calculate the remainder when g is divided by i(-10).
16
Let f = -65 + 142. Suppose -4*c + 2788 = -4*x, -1364 = -2*c + x - 4*x. Calculate the remainder when c is divided by f.
75
Let d be (-3)/(((-2)/6)/(4 - 3)). Calculate the remainder when 28 is divided by (144/(-4))/d - (0 - 10).
4
Let n(l) = 52 + l**3 - 109 - 14*l**2 + 38 + 2*l. Let f be n(14). Suppose -5*x + 2*o = o - f, -2*o = 4*x - 10. Calculate the remainder when 12 is divided by x.
0
Let m = 1175 + -1163. What is the remainder when m is divided by 11?
1
Let d = -3066 - -3126. What is the remainder when d is divided by 36?
24
Let p be 1/((-4440)/1112 + 4/1). Suppose -2*m + 5*x - p + 705 = 0, -2*x - 827 = -3*m. Suppose 13*w - m = -0*w. What is the remainder when w is divided by 11?
10
Let j(x) = 198*x + 1197. Let l = -3 - -4. Calculate the remainder when j(-6) is divided by l.
0
Let q = 92 - 293. Let a = -93 - q. Calculate the remainder when a is divided by 28.
24
Let y = -90 - -521. Calculate the remainder when 1301 is divided by y.
8
Suppose -868 = -4*q + 13*v, 5*q - 5*v - 857 = 228. Calculate the remainder when q is divided by 116.
101
Suppose k + 25 = 4*u, 0 = -2*u - 14*k + 12*k. Calculate the remainder when 1369 is divided by u.
4
Let k(v) = 16*v**2 - 1152*v + 98. What is the remainder when 3232 is divided by k(72)?
96
Let j = 6406 - 6369. Calculate the remainder when 115 is divided by j.
4
Let v(p) = -9*p**2 - 29*p + 3. Let a be v(-3). Calculate the remainder when 61 is divided by a/(5 - 14) + 3*3.
5
Suppose -76*p + 71*p = 15. Let g(i) = -31*i - 55. What is the remainder when g(p) is divided by 10?
8
Let b be 4/(-18) + 37716/108. Let q = b - 283. What is the remainder when q is divided by 35?
31
Let m(v) = 3*v**2 - 26*v + 8. Let x = -82 - -5