i. What is the remainder when 2195 is divided by i?
10
Suppose -3*u + 341 = -5*c, -3*u = u - 3*c - 451. What is the remainder when u is divided by 25?
12
Let s(w) = -3*w**2 - 2*w + 15. Let j(a) be the first derivative of a - 5. Let k(r) = 2*j(r) - s(r). Calculate the remainder when 54 is divided by k(3).
14
Let r(s) = s**3 + 6*s**2 - 5*s + 17. Let q be (-2)/3 - 95/15. Let t(n) = 15*n**2 + 1. Calculate the remainder when t(1) is divided by r(q).
1
Suppose 0 = 2*w + 2*l - 26 + 2, w = 5*l + 30. What is the remainder when 178 is divided by w?
13
Suppose c - 3*u - 34 = 0, 3*u + 34 = c + 5*u. Suppose 0 = -5*i + g + 682, 2*i - 43 = -3*g + 189. Calculate the remainder when i is divided by c.
32
Suppose -3*a - 59*p = -55*p - 247, -4*p + 77 = a. What is the remainder when 1610 is divided by a?
80
Suppose -8*h - 8*h = -1840. Let v = -58 + h. What is the remainder when v is divided by 15?
12
Let d be 5 + (-9)/12 + 1078/8. Suppose -45*r - d + 859 = 0. Calculate the remainder when r is divided by 15.
1
Suppose 5*p + 370 = 5*v, -198 = 3*p + 4*v - v. Let n = p - -69. What is the remainder when 61 + 1 - (2/n - 1) is divided by 6?
5
Let d(q) = q + 24 + 25 + 16. What is the remainder when d(-11) is divided by 20?
14
Let l = 1059 + -1050. What is the remainder when 26 is divided by l?
8
Suppose 7*x - 309 = 2*x + 3*o, o - 128 = -2*x. Suppose -3*g - 13 = -82. Calculate the remainder when x is divided by g.
17
Suppose -3*a - 8 - 11 = 4*o, 29 = -2*o + 5*a. Let f be ((-22)/4)/(o/98). Suppose f*h - 73*h = 80. Calculate the remainder when 38 is divided by h.
18
Let p(b) = -4*b**2 + 347*b + 204. Calculate the remainder when p(87) is divided by 23.
2
Let p be (-10)/(-70) - 22/28*-10. Let x = 136 - p. Calculate the remainder when x is divided by 65.
63
Calculate the remainder when 525 is divided by 2060/300 - -26 - 2/(-15).
30
What is the remainder when 421594/21 + ((-532)/294)/(-19) is divided by 97?
94
Let c be (-192)/224*14/(-3). Let t be ((-6)/(-12))/((-2)/(-140)). Suppose -c*f + t = 3. Calculate the remainder when 9 is divided by f.
1
Suppose -245 - 457 = -9*d. What is the remainder when d is divided by 1/3 + (-990)/(-27) - 2?
8
Let u(n) = -n**2 - 33*n + 377. Let i be u(-36). Suppose 3*d = 2*v + i, 0 = 41*d - 39*d + 4*v - 206. Calculate the remainder when 1021 is divided by d.
91
Let p(x) = x**2 + x + 40. Let o = -274 + 543. Suppose -3*z - o + 980 = 0. What is the remainder when z is divided by p(0)?
37
Let q(o) = 13*o - 1 + 11 + 6 + 6. Let u be q(-4). Let h = u - -58. What is the remainder when 111 is divided by h?
27
Suppose 0 = -3*l - 3*f + 13 + 5, -3*f + 20 = 5*l. Suppose 0*y + 210 = -2*y. Calculate the remainder when (-1 - l)*y/6 is divided by 9.
8
Let u be (-62)/155 + (-24)/(-10). Calculate the remainder when (-66)/24 + u - 998/(-8) is divided by 25.
24
Let r(l) be the second derivative of -5*l**3/6 + 17*l**2/2 + 25*l. Let n be r(-8). Let k = -48 + n. What is the remainder when 25 is divided by k?
7
Calculate the remainder when (-30)/15*(-377)/2 is divided by (-122)/(-732) + (-166)/(-12).
13
Let q(z) = -z**3 + z**2 + 2*z - 1. Suppose 15 = -4*n + 35. Suppose 2*t - 23 = -p, -p = -2*t - n*p + 20. Calculate the remainder when t is divided by q(-2).
5
Let f(j) = -11*j + 64. Let t(z) = -2*z**3 - 5*z**2 - 8*z - 7. Let y be t(-2). What is the remainder when 23 is divided by f(y)?
5
Let h(g) = 2*g**2 - 44*g - 315. Calculate the remainder when h(33) is divided by 20.
11
Suppose q + 5*a - 1061 = -q, 0 = 4*q + a - 2077. Calculate the remainder when q is divided by 92/115 - (-431)/5.
83
Suppose 15*u + 247228 = 53*u. Calculate the remainder when u/30 - 24/(-180) is divided by 44.
41
Calculate the remainder when 181 is divided by 13 - (11 - 3 - 11).
5
Let v(q) = q**2 + 39*q - 1337. Calculate the remainder when 8 is divided by v(-61).
3
Let o(p) = -8*p + 286. Let a be o(36). Let u(m) = 7*m**2 - 5*m - 7. What is the remainder when 120 is divided by u(a)?
27
Let h = 125 - 116. What is the remainder when 40 + (-1 + 0 - 4) is divided by h?
8
Suppose 0 = -8*w + 12*w - 32. Let l = 128 - 124. Calculate the remainder when 43 is divided by 0 - (2 + -19) - w/l.
13
Let t = -34 - -67. Let c = 533 - 439. Calculate the remainder when c is divided by t.
28
Suppose 4*b - 104 = 2*b. Calculate the remainder when (948/(-1185))/(2/(-145)) is divided by b.
6
Suppose -2*r + 11864 = 2395*i - 2393*i, i + 2*r = 5936. Calculate the remainder when i is divided by 2962.
4
Suppose 9*m - 16*m = -1547. What is the remainder when m is divided by 70?
11
Let q = 281 + -272. Let h = 34 + q. What is the remainder when h is divided by 3?
1
Let h = 173 + -154. Let d(c) = 58*c**2 - 6*c + 6. What is the remainder when d(2) is divided by h?
17
Let q = 43 + 36. Suppose 20 = q*v - 77*v. Suppose -849 = -v*x - 149. What is the remainder when x is divided by 18?
16
Let n = -74 + 116. Suppose 0 = -3*z + 3*h + n, 2*h + 1 = z - 15. Let g = z - -1. Calculate the remainder when 23 is divided by g.
10
Let x be (18 + -19)/((-2)/10). Suppose 2*f - 14 = j, -x*j = -0*j + 10. What is the remainder when (1 - 2)/3*(-156 + -3) is divided by f?
5
Suppose -4*p - 196*p + 2665 = 5*p. Calculate the remainder when 9215 is divided by p.
11
Let w = -170468 - -170568. What is the remainder when 1 + (1 - 0 - -100) is divided by w?
2
Let s(m) = -167*m**3 - m**2 - m. Let z = 25918 + -25910. Calculate the remainder when s(-1) is divided by z.
7
Suppose 0 = -5*t - 3*z + 63021 - 22889, 2*z = -t + 8018. Calculate the remainder when t is divided by 32.
30
Let t = 40 - 13. Let d be 20/15 + -6 + 1/(-3). Calculate the remainder when t is divided by 1 + (d + 5/5 - -17).
13
Let g = -850 - -905. Calculate the remainder when 1867 is divided by g.
52
Let s(q) = -13*q + 496. What is the remainder when 530 is divided by s(36)?
26
Suppose l = 3*w - 237, 4*w - 9*l - 290 = 26. What is the remainder when 539 is divided by w?
65
Let g(d) = -d + 5. Let x be g(7). Let j be (-10)/6*(-1 + x). Let c(a) = 2*a**3 - 6*a**2 - 6*a + 7. Calculate the remainder when c(j) is divided by 13.
12
Suppose 303 - 99 = 17*y. What is the remainder when 3299 is divided by y?
11
What is the remainder when 2931 is divided by 5 - (-10 - -10) - -17?
5
Suppose 4*t = 5*g + 75, 3*t - 48 = g + 11. What is the remainder when 19 is divided by (10/(-20))/((-2)/t)?
4
Suppose 226 - 16 = 14*p. What is the remainder when 238 is divided by p?
13
Let n(q) = 2*q**2 + 8*q + 8. Let k = -7782 + 7841. Calculate the remainder when k is divided by n(-6).
27
Let f(l) = -147*l - 721. Let u(x) = -16*x - 80. Let i(t) = -3*f(t) + 28*u(t). Calculate the remainder when 3 + 79 - -1*1 is divided by i(-17).
41
Let y = 1140 - -172. Suppose 14*r - 55*r + y = 0. Calculate the remainder when 222 is divided by r.
30
Let c = 73 - -23. Let m = -22756 + 22781. What is the remainder when c is divided by m?
21
Suppose 4*l = 4*m - 84, 10*l - 14*l - 14 = m. What is the remainder when 255 is divided by m?
3
Suppose 0 = -5*x + 3*x - 4*s + 36, 96 = 4*x - 4*s. Suppose -6*y = -i - y + x, -5*i + 6 = y. What is the remainder when 18 is divided by (-1)/i + (-17)/(-2)?
2
Suppose -48 = -5*j + 847. Let b be ((-10)/8)/((-37)/296). Suppose 0 = -15*s + b*s, 5*c - 5*s = 180. What is the remainder when j is divided by c?
35
Let d be (((-80)/3)/4)/(-2)*114. Suppose -9*g + 4*g = -d. Let a = 6 - -20. Calculate the remainder when g is divided by a.
24
Let q(r) = -16*r + 10*r - 169 + 54*r. Calculate the remainder when 91 is divided by q(4).
22
Let d(z) = 2*z + 5. Let w = 65 - 61. Suppose -p - w*n = -18, 4*n + 10 = 4*p - 22. Calculate the remainder when 46 is divided by d(p).
21
Suppose 98*y + 2905 - 8785 = 0. What is the remainder when 892 is divided by y?
52
Let d be -5*(-12)/(-30) + 1*41. Suppose -4*b + d = -3*z, -b = 3*b - z - 29. Let c = -22 - -36. Calculate the remainder when c is divided by b.
2
Suppose 5*b + 2*j + 230 = 1558, 1312 = 5*b - 2*j. Suppose b = 21*l - 1416. Calculate the remainder when l is divided by 21.
17
Suppose 0 = 2*u - 6, -97 = -j - 2*u - 21. What is the remainder when -9 + 156 + 1 - (9 + 4) is divided by j?
65
Let g = -284 + 394. Suppose -38 = -4*u + g. Suppose 2*s + 2*p - 113 = 39, 196 = 3*s - 5*p. Calculate the remainder when s is divided by u.
35
Suppose 44*p = 45*p - 2*n - 349, 4*p + 3*n = 1462. Calculate the remainder wh