6
Let r(g) = 12*g**2 - 4*g + 1. Let y = 111 + -78. Let n = y + -8. Calculate the remainder when r(3) is divided by n.
22
Let g(k) = k**3 + k**2 + k + 7. Let d be g(0). Suppose 3*i - d*i + 168 = 0. Let n = 701 + -578. What is the remainder when n is divided by i?
39
Let f = 243 + -443. Let y be ((-8)/(-10))/((-5)/f). Suppose -3*l + 5*d = -y - 39, 3*l + d = 47. Calculate the remainder when l is divided by 4.
1
Let j(w) = -4*w**2 - 111*w + 22. Calculate the remainder when 1544 is divided by j(-27).
102
Let m be -1 - (-8)/10 - (-122508)/415. Suppose -4*z = 27 - m. Calculate the remainder when z is divided by 25.
17
Suppose -8*l - 26 = 6. Let x be 5/(-1) + (-1 - -4). Calculate the remainder when l/(x/(-21)*-3) - 3 is divided by 4.
3
Let j(f) = 1893*f**3 - 31*f**2 + 28*f + 1. Calculate the remainder when j(1) is divided by 1881.
10
Suppose 0 = -d - 2*v - 3, 3*d + 9*v - 11 = 7*v. What is the remainder when 156 is divided by d?
2
Let k(i) = 13*i**2 - 19*i + 22. What is the remainder when k(4) is divided by 136?
18
Suppose 4*f - 4*h + 69 = 253, -5*f = -2*h - 224. Let u = 67 - f. Suppose u = 2*k - 2*q - 27, -3*k - 2*q = -70. Calculate the remainder when 69 is divided by k.
21
Let h = 22 - -25. Let q(l) = -2*l**3 - 60*l**2 - 164*l - 48. What is the remainder when h is divided by q(-27)?
5
Let t(u) = -2*u**3 + 12*u**2 - u - 2. Let m be t(6). Let w(q) = 5*q**2 + 4*q - 2 - 3*q**2 + 8 + 0*q**2. Calculate the remainder when w(m) is divided by 26.
24
What is the remainder when (36996/20 - -1) + (-402)/(-335) is divided by 31?
23
Let d = 130 + -88. Let a(g) = g**3 - 449*g**2 + 18180*g + 166. What is the remainder when a(404) is divided by d?
40
Let d = 31953 - 31766. Let n = 36 + 11. Calculate the remainder when d is divided by n.
46
Let j = 23555 - 23525. What is the remainder when 15237 is divided by j?
27
Let s(h) be the first derivative of -8 - 1/2*h**2 + h. What is the remainder when 29 is divided by s(-7)?
5
Let z(t) = t**3 - 21*t**2 - 57*t + 891. What is the remainder when 372 is divided by z(22)?
9
Suppose -53*p + 10 = -51*p. Let f be (-2)/10 + (-69)/p. Calculate the remainder when (f + 20)/(1/18) is divided by 37.
34
Suppose -3*z = -18*z. Suppose -1 - 43 = -4*i. Suppose z = -i*b + 9*b + 22. Calculate the remainder when 39 is divided by b.
6
Suppose 5*l + 568 = 2*f, -4*l - 1184 = -4*f - 0*l. Calculate the remainder when f is divided by 41.
17
Suppose -5*u + 2*i - 16 = -4, 2*u + 4*i = 0. Let a be (154/55)/(u/10). Let l(d) = d**3 + 13*d**2 - 15*d - 3. Calculate the remainder when 63 is divided by l(a).
8
Suppose -23*k = -19*k - 2*t - 692, 3*t = 4*k - 696. Calculate the remainder when k is divided by 90.
81
Suppose 7*s = 223 - 13. Suppose 36*n = s*n. Suppose -15*a + 9*a + 132 = n. Calculate the remainder when 108 is divided by a.
20
Let k be (-16)/1*(-6 - -2). Let a = 122 - k. What is the remainder when 8/56 - (-1610805)/5635 is divided by a?
54
Let c(d) = 3 + 4 + 3*d**3 - 9*d**2 - 2*d**3 + 4*d. Suppose 3*t - 9*t = -54. What is the remainder when c(t) is divided by 9?
7
Calculate the remainder when 1168 is divided by (-4 + 56 + -24)*(38/14 + -1).
16
What is the remainder when ((-13464)/48)/(23/(-28) - 60/(-105)) is divided by 372?
6
Suppose -34*j = 3*l - 33*j - 104, 0 = -3*j - 3. What is the remainder when 354 is divided by l?
4
Let j(v) = v**3 - 2*v**2 - 27*v - 28. Suppose -2*b + 2*t + 228 = 0, 0*b - 3*b + 338 = -2*t. Calculate the remainder when b is divided by j(-3).
6
Suppose 58 + 99 = 97*w - 231. Calculate the remainder when 185 is divided by w.
1
Suppose 5*v + 22 = 2*n, -2*n - 3*v + 50 + 20 = 0. Calculate the remainder when 91 is divided by n.
13
Suppose 3*x = 4*j + 3 + 13, 0 = -j + 8. Calculate the remainder when 5481 is divided by x.
9
Suppose -3*q + 306 = 3*y, 4*q - y + 0*y - 418 = 0. Let h(m) = -m**3 + 5*m**2 - 3*m + 8. What is the remainder when q is divided by h(4)?
8
Let q = 445 + -440. Let f = 149 + -55. What is the remainder when f is divided by q?
4
Suppose -8*y - 121 = -201. Calculate the remainder when 26/39 + (-43)/(-3) is divided by y.
5
What is the remainder when (-45)/3 + 10881/27 is divided by 154?
80
Let b = -18 - -31. Let n be (-7)/(-2) + b/26. Suppose -43 = -2*q - n*x + x, 0 = 3*q - 3*x - 42. Calculate the remainder when q is divided by 5.
2
Let p(l) = l + 10. Let h(a) = -a**3 + 8*a**2 - 8*a + 11. Let o(i) = i + 3. Let b be o(4). Calculate the remainder when p(-5) is divided by h(b).
1
Suppose -11*h - 29 = -183. Suppose 78*r - 6860 = 6010. What is the remainder when r is divided by h?
11
Let a = 93 + -29. Suppose a + 176 = 3*t. Suppose 0*u + t = 5*u. Calculate the remainder when 173 is divided by u.
13
Suppose 0 = -4*w + i + 75, 6*i = -5*w + i + 125. Let z be (-105)/(-25) + (-4)/w. Let j = z - -29. Calculate the remainder when j is divided by 19.
14
Let y be (-30)/(-45) + 7/3. Suppose y*d + 148 = 7*d. What is the remainder when d is divided by (-1470)/(-78) - 8/(-52)?
18
Suppose -1231 = 3*f - 4*j, -3*f - 300 = -5*j + 926. Let o = -222 - f. Calculate the remainder when o is divided by 18.
15
Suppose 5*h + 355 = 3*l, 0*l - 3*h + 109 = l. Suppose 3*n - l = -2*n. Calculate the remainder when n is divided by (-44)/(-7) - (-332)/(-1162).
5
Suppose -14*v = -15*v + 88. Let d = -83 + v. What is the remainder when 39 is divided by d?
4
Calculate the remainder when -2*1/4*-106 is divided by 4 + 2 - (-4 - 2).
5
Suppose -2*v - 13868 = -6*r, 12*r - 5*v + 2322 = 13*r. Calculate the remainder when r is divided by 40.
32
Calculate the remainder when (604/(-16))/(2/12 - (-90)/(-216)) is divided by 60.
31
Suppose 132*w - 323303 - 323636 = 232049. Calculate the remainder when w is divided by 9.
8
Let g(y) = 2*y**2 - 3*y - 2. Let u be g(2). Suppose 0 = -3*a + 5*x + 36, 0 = -a - u*a + x + 10. What is the remainder when 111 is divided by (6*7)/(a/(14/3))?
27
Suppose -4*y + 70*k = 69*k - 14522, y - 3626 = k. What is the remainder when y is divided by 101?
97
Let b(a) = -100*a - 2368. Calculate the remainder when 528 is divided by b(-26).
64
Let h = 5597 - 5087. What is the remainder when h is divided by 228?
54
Let f(d) = -15*d**2 + 141*d - 17. Calculate the remainder when 430 is divided by f(8).
128
Let q be -5*(27/15)/(-3). Suppose -3 = -9*r - q. Suppose r = 3*w - 4*h - 23, -2*h = w - 5 - 16. What is the remainder when w is divided by 4?
1
Let o be 43890/275 - (-2)/5. Let a = 313 - o. What is the remainder when a is divided by 22 + (1 - 0)*0?
21
Suppose 2*q + 2*c = 290, 16*c - 12*c = -5*q + 721. Suppose 0 = 16*f - q - 179. What is the remainder when f is divided by 9?
2
Suppose -k - 16 = -w - 3*k, 2*w + 3 = 3*k. Suppose -w*m + 2*m + 659 = j, -j - 5 = 0. Calculate the remainder when m is divided by 21.
19
Let g = 3211 + -3195. Let k(y) = -12*y**2 + 3. Let a be k(-3). Let v = a + 198. What is the remainder when v is divided by g?
13
Suppose -14 - 32 = j. Let t = j - -117. What is the remainder when t is divided by 46?
25
Calculate the remainder when 58 is divided by (-81)/54*(64/(-6))/2.
2
Let d(t) = t**3 - 6*t**2 - 31*t - 344. Calculate the remainder when 1172 is divided by d(12).
136
Let l(n) = 21*n**2 - 159*n - 619. What is the remainder when l(-4) is divided by 86?
9
Suppose 400*n = 397*n + 1590. Suppose -37*b + n = -32*b. What is the remainder when b is divided by 12?
10
Suppose 3*z - 2*z - 12 = 0. Suppose 27*n - 26*n = 4*l - 233, n + 176 = 3*l. What is the remainder when l is divided by z?
9
Suppose x = -3*h + 37, h + 8 = 4*x - 88. Let n(d) = 933*d - 3615. What is the remainder when n(4) is divided by x?
17
Let k(m) = -7*m - 3. Let y(v) = v**3 + 64*v**2 + 628*v + 267. What is the remainder when y(-52) is divided by k(-5)?
27
Let y(c) = 15*c**3 + 45 - 16*c**3 - c**2 + 4*c**2 - 10*c**2 + 12*c. Calculate the remainder when 50 is divided by y(-8).
11
Let h(f) = 3*f + 1 - f**2 + 4*f**2 - 2*f**2. Suppose -2*y + 7*y = 2*g - 6, 4*g - 3*y = -16. What is the remainder when 85 is divided by h(g)?
27
Suppose -4*d = -g + 2, 2*d + 16*g + 2 = 17*g. What is the remainder when d/((-6)/(-2))*1 + 133 is divided by 72?
61
Let l(q) = 3*q**3 - q**2 + 4*q - 3. Let d(m) = -m + 7. Let v be d(5). Suppose v*n + 78 = 276. What is the remainder when n is divided by l(2)?
24
Let b = -793 - -841. What is the remainder when 195 is divided by b?
3
Suppose 2*u - 12*p = -9*p + 