culate the remainder when c is divided by t.
1
Suppose -2*g + 12 = g. Suppose -q = g*q - 235. Let d(b) = -b**2 + 94*b + 3133. Calculate the remainder when q is divided by d(120).
8
Let c(o) = o**2 - 3*o + 1. Let l(v) = -5*v**2 + 17*v + 259. Let z(i) = -4*c(i) - l(i). What is the remainder when 7 is divided by z(-14)?
1
Suppose -b + 5*z + 11 = 0, 166*b + 64 = 168*b + 4*z. Calculate the remainder when 50 is divided by b.
24
Let k = -14 + 29. Let i = -899 - -922. What is the remainder when i is divided by k?
8
Suppose 167 = o + i, -i - 831 = -5*o - 2*i. Suppose 170*h - o*h = 100. What is the remainder when 86 is divided by h?
11
Let c = -254 - -259. Suppose c*g = 2*w + 106, -g - 2*w = 4*g - 94. Calculate the remainder when 179 is divided by g.
19
Let s(x) = 29*x**2 - 3*x + 2. Let z be s(3). Let g be (2840/(-12))/((112/21)/(-8)). Let v = g - z. What is the remainder when v is divided by 13?
10
Suppose -4*a + 587 + 157 = 0. What is the remainder when a is divided by 2 - -5 - (-8 + -6 + 12)?
6
Let i be 9/12 - (-2)/8. Suppose u + 18 = 20. What is the remainder when (-2)/(i*u/(-87)) is divided by 22?
21
Let o(d) = -22*d + 596. Calculate the remainder when 310 is divided by o(21).
42
Let k(t) = t**3 - 21*t**2 + 71*t - 3. Calculate the remainder when 621 is divided by k(17).
45
Let k = 101 - 108. What is the remainder when 42 is divided by -22 - -21 - (k - 2*-1)?
2
Let j(z) = -z**3 + 9*z**2 + 7. Suppose 3*l - 3*m + 429 - 594 = 0, 3*l + 5*m - 197 = 0. Calculate the remainder when j(6) is divided by l.
56
Suppose 4*p + 4*u = 2308, 5*p = -u + 1976 + 929. Suppose -p = -4*o - 134. What is the remainder when o is divided by 46/(-1*2)*-1?
20
Let r(n) = n**3 + 3*n**2 + 5. Let u be r(-3). Suppose 4*g + 5*d - 78 = 0, 4*g + u*d - 34 = 2*g. What is the remainder when g is divided by 8?
6
Let g(y) = -3*y**3 + 4*y**2 + 3*y + 2. Suppose -r = 2*w - 28 - 2, -w = 3*r - 85. What is the remainder when g(-3) is divided by r?
26
Suppose 286*p - 7*p - 6696 = 0. What is the remainder when 2001 is divided by p?
9
What is the remainder when 381*(3 + 4/(-3) + -1) is divided by 4?
2
Let u(t) = 4*t + 4. What is the remainder when u(6) is divided by ((-1)/((-5)/30) + 6)/((-4)/(-8))?
4
Let o(m) be the third derivative of -m**6/120 + 11*m**5/60 + 5*m**4/8 - 20*m**3/3 - 130*m**2. Let d = 91 - 59. What is the remainder when o(11) is divided by d?
29
Let u(r) = r**3 - 2*r + 32. Let m be u(0). Let f = -16 + m. Suppose 0 = -4*k + 240 - f. What is the remainder when k is divided by 20?
16
Suppose 0 = -4*y + 82 + 30. Let a be (-1078)/(0 - (-2 + 4)). What is the remainder when y is divided by 3/(-12) + a/44?
4
Let d be (-36)/(-21) - 8/(-28). What is the remainder when (-1 - -111)*d/5 is divided by 18*((-50)/20)/(-5)?
8
Let z(l) = -12*l**3 - 6*l**2 + 13*l - 28. What is the remainder when z(-5) is divided by 406?
39
Let x = -73 - -74. Calculate the remainder when (x + -4)*(-246)/9 - 3 is divided by (0 - (-28)/(-5))*-5.
23
Suppose -502 = 6*v + 338. Let h = 334 + v. Calculate the remainder when h is divided by 65.
64
Let b(i) = -7*i**3 + i**2 - 2*i + 31. Let s be b(7). Let q be s*4/(-12) - 2/6. Suppose -7*c = 211 - q. Calculate the remainder when c is divided by 28.
25
Suppose 1 = 2*n - 3*r, -2 - 9 = -n - 2*r. Suppose n*d - 8 = -3. Calculate the remainder when 7 is divided by -1 + d/(-3)*-9.
1
Let x(o) = o**2 + 11*o - 67. What is the remainder when 66 is divided by x(6)?
31
Suppose -6*d - 2*g = -4*d - 310, 0 = 3*d - 5*g - 473. What is the remainder when 775 is divided by d?
151
Suppose 6*l + 2*g = 2*l - 1270, g = 3*l + 965. Let s = l + 390. What is the remainder when s is divided by 46/(2*1) - -1?
22
Let f(g) = -8*g**3 - g**2 - g - 1. Let d be f(-1). Let u(n) = -d*n + 115 + n - 131 - 2*n. Calculate the remainder when 54 is divided by u(-3).
6
Let p be (189/(-4))/(2/(-8)). Suppose 2*d = -d + p. Suppose 0 = 5*i - 4*r - 122, 21*i = 26*i - 3*r - 119. What is the remainder when d is divided by i?
19
Suppose 3*h - 186 = h - 5*n, -4*n - 344 = -4*h. Let i = -5313 - -5360. What is the remainder when h is divided by i?
41
Let b = 364 + 22. What is the remainder when ((-14)/(-3))/(8/60) is divided by 50/375 - b/(-30)?
9
Suppose -45*i + 526 = -9644. Suppose 0 = 3*y - 0*y - a - 345, 2*y - i = 2*a. Calculate the remainder when y is divided by 10.
6
Let p = -2732 - -2754. Calculate the remainder when 820 is divided by p.
6
What is the remainder when 41/(-9) + (-30)/(-6) - (-77110)/45 is divided by 86?
80
Let s(q) = -2*q**3 + 53*q**2 + 108*q + 4. Suppose 0 = -3*v + v + 148. What is the remainder when v is divided by s(-2)?
10
Let x(o) = 18*o**2 - 5*o + 29. Calculate the remainder when x(14) is divided by 10.
7
What is the remainder when 7067 is divided by (19*(-5)/20)/((-17)/408)?
113
Suppose -2*g + 69*r - 66*r + 269 = 0, -4*g + 505 = 5*r. Calculate the remainder when 1687 is divided by g.
127
Suppose 0 = 12*i - 8*i - f - 50, -2*i + f + 26 = 0. What is the remainder when 26 + 4 + (-7 - 0) is divided by i?
11
Let a(g) = 7*g + 2*g + 0*g - 2*g**2 - 53 + 7*g**2. Calculate the remainder when a(5) is divided by (-375)/(-12) - 1/4.
24
Suppose 62*b - 61*b + 102 = 0. Let a = -69 - b. Calculate the remainder when 117 is divided by a.
18
Suppose -3*t + 9*t - 12 = 0. Suppose -5*m - t = -52. What is the remainder when 11 is divided by m?
1
Let a(l) = -l**2 - 14*l + 255. Let x be a(-24). Suppose d - x = -6*t + 5*t, -d + 95 = 5*t. What is the remainder when 39 is divided by t?
19
Let c = 435 - 414. Calculate the remainder when (1/3)/(1496/(-1500) + 1) is divided by c.
20
Let l = 448 - 458. What is the remainder when (-452)/24*-2*(l + 13) is divided by 35?
8
Let q = -15086 - -15290. What is the remainder when 2031 is divided by q?
195
Suppose -66*b = -31694 - 29422. What is the remainder when b is divided by 323?
280
Suppose -1167*k + 55404 = -1110*k. What is the remainder when k is divided by 123?
111
Let u(m) = m**3 - 29*m**2 - 187*m + 124. What is the remainder when u(35) is divided by 422?
85
Suppose 0 = 34054*d - 34066*d + 2904. What is the remainder when 6288 is divided by d?
238
Let y = -45 + 56. Suppose -338 = -2*n - 4*b, -b + 656 = 4*n + 3*b. Let u = n + -130. Calculate the remainder when u is divided by y.
7
Let i = 26371 - 25644. Calculate the remainder when i is divided by 52.
51
Let z = -455 + 668. What is the remainder when z is divided by 23?
6
Let r(u) = -427*u - 820. What is the remainder when 122 is divided by r(-2)?
20
Suppose 4*h + 3*h = 3*h. Suppose -q + h*q = 2*j - 607, 2*q = 2. Calculate the remainder when j is divided by 51.
48
Suppose -2233*r = -2292*r + 6549. What is the remainder when 230 is divided by r?
8
Suppose -2*f - 3*f = 8*f - 29692. What is the remainder when f is divided by 760?
4
Let l = 76 - 57. What is the remainder when (-2400)/(-35) + 12/(-21) is divided by l?
11
Suppose -3*k - 42 = -3*b, -78*k + 56 = 4*b - 83*k. What is the remainder when 2055 is divided by b?
11
Let j = -1392 - -1625. Calculate the remainder when j is divided by 9.
8
Let w(u) = -2*u**3 + 8*u**2 + 16*u - 3. What is the remainder when 373 is divided by w(-2)?
9
Let s = 3678 + -2470. What is the remainder when s is divided by 55?
53
Suppose -10*d + 3035 = -1185. What is the remainder when d is divided by 14?
2
Suppose -3*z = -p - 259, 0*z + 8*z = -p + 632. Suppose g + 28 = 3*g. Calculate the remainder when z is divided by g.
11
Suppose -4*h + 6 - 2 = -4*y, 2*y - h + 3 = 0. What is the remainder when (-8757)/(-126) + (-1)/y is divided by 6?
4
Suppose -2*c + 238 + 90 = 4*p, -4*p + 2*c = -328. Let u be 3 + (4 - 1) + 47. Let j = p + u. Calculate the remainder when j is divided by 23.
20
Suppose -15 = -5*w, -5*d = 4*w + w + 310. Let u = -80 - d. Calculate the remainder when 35 is divided by -1 + 14*u/(-10).
15
What is the remainder when (163423/1690)/(1/10) is divided by 192?
7
Suppose -4*g + 5*j = -37, -g + 2*j - 1 = -14. Let c(l) = -l + 4. What is the remainder when ((-54)/(-12) + -5)/((-7)/14) is divided by c(g)?
0
Let f be 118/(-12) + (-8)/48. What is the remainder when (1 - 4/3)/(4/(-264)) is divided by ((-32)/f)/(6/15)?
6
Let g(m) = -m**2 - 16*m + 11. Suppose 3*h = -109 - 50. Let w = h + 38. Calculate the remainder when 74 is divided by g(w).
22
Let k(h) = -13*h + 3. Let t = -214090 + 214126. Calculate the remainder