emainder when 691 is divided by x?
11
Suppose -105 = -o + k, 7*o = 3*o + 3*k + 423. Suppose 5*b - 2*r = 1458, 4*b - 429 = 3*r + 736. Let x = b + -276. Calculate the remainder when o is divided by x.
12
Suppose -4*y + 3*y + 20 = 0. Let h(g) be the first derivative of g**2/2 + 28*g - 2. What is the remainder when h(9) is divided by y?
17
Let k be 36 - 8/(-4)*1. Let w = -8 + k. Suppose 5*v - w = -v. What is the remainder when 15 is divided by v?
0
Let b be 4/(-6) + 82/6. Let t(r) be the first derivative of -r**4/4 + 13*r**3/3 - r**2/2 + 19*r - 1. What is the remainder when 16 is divided by t(b)?
4
What is the remainder when (-7540 - -22)/(-14) + 26 is divided by 85?
53
Let h(d) = d**3 + 19*d**2 + 33*d - 2. Calculate the remainder when 1332 is divided by h(-17).
12
Let x(t) = 2*t**3 + 26*t**2 + 26*t + 38. Suppose 4*p = 5*p - 4*z - 196, -4*z = p - 188. Let f = p + -125. Calculate the remainder when f is divided by x(-12).
11
Let w(x) = -161*x + 1507. Calculate the remainder when w(-5) is divided by 12.
8
What is the remainder when (-15)/1*21982/(-290) is divided by 369?
30
Let i(a) be the first derivative of -7*a**2/2 + 290*a - 89. Calculate the remainder when 75 is divided by i(36).
37
Suppose -2*j - 10 = -40. Let h be 2/3*(j - 9). Suppose 9*l = h*l + 95. Calculate the remainder when 37 is divided by l.
18
Let v = 13468 + -13402. Calculate the remainder when v is divided by 35.
31
Suppose -5*t + 19 = -2*o, -4 = -2*t - 5*o + 7*o. Let w = -3 + 5. Suppose -4*x + 1 = t*u + 5, w*u - 12 = -5*x. What is the remainder when 9 is divided by x?
1
Let w(o) = 7*o - 19. Let y be w(5). Let u(h) = 5*h - h + y - h - 4*h. What is the remainder when 22 is divided by u(11)?
2
Let o(z) = 61*z**3 + z**2 + 3*z - 3. Let a(b) = 2*b + 21. Calculate the remainder when o(1) is divided by a(-7).
6
Let d be -3 + 66 + (7 - 2). Suppose d = 10*y - 1442. Calculate the remainder when y is divided by 77.
74
Suppose 172 - 40 = -11*p. Suppose 0 = -4*n - n + 75. Calculate the remainder when (24 - 1)*(p + 13) is divided by n.
8
Suppose 0*p = -2*p + 130. Let a = 70428 - 70394. Calculate the remainder when p is divided by a.
31
Suppose 93*b - 340 = 76*b. Suppose 13*z = -b*z + 330. Suppose -c + 2 = -35. What is the remainder when c is divided by z?
7
Suppose 407*o - 9168 = 15252. Suppose 3*w + 191 = 2*y, -w - 397 = -2*y - 2*y. Calculate the remainder when y is divided by o.
40
Let c(s) = s**3 - 42*s**2 + 77*s + 127. Suppose n - 50 = -2*l, -n = 2*n - 3*l - 114. Suppose -110 = -2*u + n. What is the remainder when u is divided by c(40)?
6
Suppose -2*m - 4*k + 140 = 0, 21*k - 17*k = -m + 68. Let f = -99 - -242. What is the remainder when f is divided by m?
71
Suppose 633 = 19*t - 509 - 112. Calculate the remainder when 2573 is divided by t.
65
Suppose -10*o + 5*o + 3*y = -108, 0 = -2*o + 4*y + 32. Suppose -o*l + 622 - 190 = 0. What is the remainder when 155 is divided by l?
11
Let j = 144 - 232. Let h = -61 - j. Calculate the remainder when h is divided by 80/32*((-196)/(-147))/(4/6).
2
Suppose -3*h + 4*d = -2*h + 3, -3*d = 5*h - 8. What is the remainder when h/(-2) - (-10060)/40 is divided by 21?
20
Let n = -226 + 380. Let k = 630 - 604. What is the remainder when n is divided by k?
24
What is the remainder when 106 is divided by 2/(-4) - (1190/(-20) + 14)?
16
Let h(w) = -w**3 + 32*w**2 - 151*w - 101. What is the remainder when 18936 is divided by h(26)?
28
Let q = -1062 + 2182. Calculate the remainder when q is divided by 59.
58
Let c = 532 - 96. What is the remainder when c is divided by 22?
18
Let k(n) = n**2 + 8*n + 32. Suppose 0 = 19*a - 18*a. What is the remainder when 124 is divided by k(a)?
28
Let y = -7 + 11. Suppose 48*z = 85 + 971. Suppose -y*c = 2*j - 64, 0 = -j + 2*j + 4*c - z. Calculate the remainder when 80 is divided by j.
38
Suppose -29*r = -85*r + 6272. Calculate the remainder when 245 is divided by r.
21
Suppose -18*z + 236*z - 287542 = 0. Calculate the remainder when z is divided by 659.
1
Suppose 0 = 3*s - 2*f - 189, 0 = 3*s - f - 207 + 15. Calculate the remainder when s is divided by 39.
26
Suppose -4*g = 2*r - 122 + 6, 4*r = 2*g + 272. Suppose -j - 2*j = -r. Calculate the remainder when 40 is divided by j.
18
Let h(o) = 62*o + 27. Let y be h(3). Let t = 367 - y. What is the remainder when t is divided by 43?
25
Let c(q) = -q**3 + 2. Let i be c(-1). Suppose i*y + 6*y = 630. What is the remainder when y is divided by 18?
16
Let j(d) = 5*d**2 - 10*d - 26. What is the remainder when 863 is divided by j(-2)?
9
Let r = 269 + -261. What is the remainder when 284/r - 15/(-6) is divided by 15?
8
Suppose -84*f + 340817 = -273895. What is the remainder when f is divided by 120?
118
Suppose 4*d - m - 3*m + 12 = 0, d = 3*m - 9. Suppose k - 3 = d, 3 = 3*o - 0*k + k. Suppose o = 2*y - 0*y - 184. What is the remainder when y is divided by 19?
16
Suppose 38*b - 90 = 33*b. Suppose 5*o = 2*z + 905, 0*o + 5*z = -2*o + 333. Calculate the remainder when o is divided by b.
17
Let u(g) = 3*g**2 - 5*g + 6. Let r = 609 - 606. Calculate the remainder when u(2) is divided by r.
2
Suppose -22 = -3*w - 5*y + y, -y + 4 = 0. Calculate the remainder when ((2 - -104)/1)/w is divided by 16.
5
Suppose -4*y + 24 = -0. Let d be (5/3)/((-3)/(-9)). Suppose -d*h + 11 = -9. Calculate the remainder when y is divided by h.
2
Let c be (-4)/(-8)*12/2. Let k(x) = -8*x + 46. What is the remainder when 55 is divided by k(c)?
11
Let i be (-1)/(-5) + (-342)/(-90). Suppose -q - 4*r = -7*r - 30, 5 = -q - i*r. Calculate the remainder when (-688)/(-12)*6/4 is divided by q.
11
Suppose 51 = 4*l + 3*w, -32 - 28 = -5*l - 3*w. Suppose -4*s - 2*p + 96 = 0, -3*p = -l + 3. Calculate the remainder when 76 is divided by s.
7
Suppose -2 - 17 = -5*o - 2*k, -o + 5*k = 7. Let x be (-3)/(-9) + (o/(-9) - -2). Suppose 660 = 3*b + x*b. What is the remainder when b is divided by 15?
12
Suppose 4*i - 52 = y, 0*i = 3*i - 5*y - 22. Let j(l) = l**3 - 7*l**2 - 2*l - 15. Calculate the remainder when j(10) is divided by i.
13
Suppose -5*y + 232 = -y. Let p = 18 - y. Let g = 99 + p. Calculate the remainder when 175 is divided by g.
57
Suppose 99*r + 105*r = 224*r - 3760. Calculate the remainder when r is divided by 17.
1
Let f(c) = -c**3 - 8*c**2 - 5*c - 9. Let s(o) = -o**2 + 19*o - 21. What is the remainder when f(-8) is divided by s(17)?
5
Let z(u) = -12*u**2 + 336*u. Let f be z(28). Suppose a + 7 = 18. Suppose -6 - a = -j - 3*p, p = f. What is the remainder when 25 is divided by j?
8
Suppose 52295 = -32*o + 18247. Let m = -537 - o. What is the remainder when m is divided by 16?
15
Suppose 3*d - 17 = -14, -145 = 2*l - 3*d. Let t = -43 - l. What is the remainder when 417 is divided by t?
25
Let r = -10 + 17. Let h(n) = n**2 - 65*n + 196. Calculate the remainder when h(62) is divided by r.
3
Let x = -2 - -20. Let l = 268 - 207. Suppose -2*j = -3*b - l, -5*b = -j - 9*b + 36. What is the remainder when j is divided by x?
14
Let s be ((-18)/2 - -4) + 10. Suppose -5*i + 2*i = -n + 104, 382 = 3*n + s*i. Let u = n + -103. What is the remainder when u is divided by 6?
4
Let z(s) = 3*s**3 - 3*s**2 + 3*s. Let x be z(2). Suppose 78 = 2*f + x. Calculate the remainder when 117 is divided by f.
27
Let v = -259 + 295. Suppose v*z - 48*z + 24 = 0. Calculate the remainder when 60 is divided by z.
0
Suppose a - 58 = w, -4*a - 5*w + 3*w = -202. Let c = 53 + -42. What is the remainder when a is divided by c?
9
Suppose 2*o + 2 = -14. Let a be (4/6)/(o/48). What is the remainder when 36 is divided by 24/(-9)*12/a?
4
What is the remainder when -6 - (100963/(-340) - (-3)/(-60)) is divided by 78?
57
Suppose 6*n - 9*n = -15. Suppose -4*u = -2*m + m - 238, -5 = -u. Let q = m + 222. Calculate the remainder when n is divided by q.
1
Suppose -16 = -11*s + 116. Let q be -2 + (-6 - -4) + 4. Suppose q = -g + 3*n + 44, 5*n = 3*g - 2*g - 42. Calculate the remainder when g is divided by s.
11
Calculate the remainder when 1070 is divided by (171 - 162) + 7*1.
14
Let u(c) = -5*c + 17. Suppose -3*d - 4 = -v - 7, 0 = -4*d + 2*v + 6. Suppose 5*k + 134 = 7*k. What is the remainder when k is divided by u(d)?
16
Let l(d) = -8*d - 3 - 5*d**2 - 1 + 4*d**2. Suppose 139 = 3*w - 17. What is the remainder when w is divided by l(-5)?
8
Suppose 5*o - 17 = 4*k, -9 = 3*o + 2*k - 6. Calculate the r