17
Let t be (-22 - 67) + (-2)/(6/(-9)). Let w = t - -803. Calculate the remainder when w is divided by 48.
45
Suppose 0 = 3*q + 2*v - 4, 7*v + 15 = 5*q + 2*v. Calculate the remainder when 28 is divided by (((-4)/6)/q)/(17/(-153)).
1
Let z(x) = 19*x + 35. Let o be z(19). Suppose -2*j + o = -0*j. Suppose v - 12*v = -j. What is the remainder when 34 is divided by v?
16
Suppose 4*q + 669 = 5*k, 5*k - 216 = -4*q + 485. Let c = -661 - -682. Calculate the remainder when k is divided by c.
11
Let n(d) = d**3 - 7*d**2 + 4*d - 26. Let w be n(7). Calculate the remainder when w/(-60)*4 + (-15852)/(-90) is divided by 36.
32
What is the remainder when (-50)/(-13) + -4 + (-4994)/(-13) is divided by 29?
7
Let h be (-2)/(-4*1)*-2. Let m be -5*1/5*1*-11. Let j = m - h. What is the remainder when 68 is divided by j?
8
Suppose 0 = 6*j - 7*j - 30. Let c = j + 35. Suppose -2*o = -3*d - 0*d + 300, -c*d - 5*o + 500 = 0. What is the remainder when d is divided by 17?
15
Let h(o) = -2*o**3 + 254*o**2 + 2296*o + 22. Calculate the remainder when 5563 is divided by h(-9).
3
Let b = -439 - -440. What is the remainder when 135 is divided by b/2*(24 - 70/(-7))?
16
Suppose -102*u = 43*u - 29435. Calculate the remainder when u is divided by 102.
101
Suppose 12*d = -12847 + 35659. Suppose -3*n = -1979 + d. What is the remainder when 440 is divided by n?
24
Suppose -3*o + 7 = 4*o. What is the remainder when 69 is divided by o - -22 - -4*30/20?
11
Suppose 5*x - w - 5606 = 0, -3*w + 282 = -x + 1420. Calculate the remainder when x is divided by 287.
259
Let t = 1789 - 880. Let z = -824 + t. Calculate the remainder when 99 is divided by z.
14
Suppose -2*k - 21*a + 190 = -18*a, 0 = -3*k - 3*a + 294. What is the remainder when 519 is divided by k?
103
Let i(f) = 8*f**2 - 17*f - 39. Calculate the remainder when i(-8) is divided by 205.
199
Let j = -269 - -232. Let b(u) = u**3 - 4*u + 1. Let m be b(3). Let w = m - j. What is the remainder when w is divided by 8?
5
Calculate the remainder when 60*((-306)/(-135) + 4/30) is divided by 45.
9
Let g(k) = 2*k**2 + 13*k - 12. Calculate the remainder when -94*(-13)/104*4 is divided by g(-8).
11
Suppose w - 14*w + 65 = 0. Suppose 11 = -w*l + 56. Suppose -m - 216 = -l*m. Calculate the remainder when 50 is divided by m.
23
Let v be 1*1/(-2)*0. Suppose 0 = k - v*k + n - 10, 4*k = -3*n + 38. Let a = -34001 + 34021. What is the remainder when a is divided by k?
4
Let x be (2601/(-3) + -6)*1. Let b = -502 - x. Calculate the remainder when b is divided by 22.
19
Calculate the remainder when 2334 is divided by ((-114)/13 - (-75)/(-325)) + 50.
38
Let z = 321 - 331. Calculate the remainder when (z - (10 - 157))*(0 + 1) is divided by 5.
2
Let m(j) = 9*j + 90. Let l be m(0). Let s be (-20)/110 - l/(-11). Suppose 12*a = s*a + 452. What is the remainder when a is divided by 38?
37
Let q = -22 + 25. Suppose -q*n = 4*a - 23, 4*a + 4*n = -12 + 32. What is the remainder when (-188)/(-8)*(-1)/(-3)*6 is divided by a?
7
Let r(u) = 68*u**2 + u - 1. Let j = 172649 - 172634. Calculate the remainder when r(-2) is divided by j.
14
Let d = 3 - 0. Let m = d - -4. Suppose -94*l + 92*l - 5*w + 49 = 0, 0 = -5*l + 4*w + 40. What is the remainder when l is divided by m?
5
Let w = 58 + -59. Let u be -52 + 55 + (87 - (-1 - w)). Let o = 144 - u. What is the remainder when 107 is divided by o?
53
Let d(y) = 14*y**2 - y - 1. Let x be d(-2). Let i = -7540 - -7502. Let q = x + i. Calculate the remainder when 92 is divided by q.
16
Let f(q) = 2*q - 17*q**2 + 25 + 32*q**2 - 12*q**2 - 24*q. Let t = 45 - 6. What is the remainder when f(12) is divided by t?
37
Suppose -5*v - 3*q = 75, -45 = 8*v - 3*v - 3*q. Let z(o) = o**2 + 10*o - 25. Let r be z(v). Calculate the remainder when 20 is divided by (24/10)/(r/(5/(-2))).
2
Let x(a) = a**3 - 7*a**2 - a + 2. Let h be x(7). Let z(j) = 5 + j**3 + 6 + 7*j**2 - 24*j - 5 + 27*j - j**2. What is the remainder when z(h) is divided by 8?
0
Let r = 15843 + -15813. What is the remainder when 298 is divided by r?
28
Let t(m) = -7*m. Let l(d) = -2*d - 5. Suppose -n = 3*n + 8. Let j be l(n). What is the remainder when 31 is divided by t(j)?
3
Suppose 4*s - 30*t + 29*t = 1437, 0 = 4*s + 7*t - 1397. What is the remainder when s is divided by 90?
88
Let b(r) = -r**2 - 15*r + 5. Let k(s) = -1107*s - 23012. Calculate the remainder when k(-21) is divided by b(-7).
52
Suppose 4*x - 3*x + l = 100, -15 = 3*l. Suppose 10*z = 35 + x. What is the remainder when 82 is divided by z?
12
Suppose 2*a - 3802 = -2*k, 14*k + 5697 = 3*a + 19*k. Suppose 14*h = -560 + a. What is the remainder when 475 is divided by h?
91
Let u be 2 + (-60)/42 - (-10)/7. Suppose -46 = -3*b - 2*t, 3*b - 47 = t - u*t. Suppose -b - 24 = -f. What is the remainder when 118 is divided by f?
38
What is the remainder when 940 is divided by (-1)/(-3) + (-980)/(-84)?
4
Let o = 307 - 144. Let k = -5148 - -3312. What is the remainder when o is divided by 7/2*(-6 + k/(-119))?
31
Let c(m) = m**3 + 27*m**2 + m + 77. Let p(k) = k**3 - 15*k**2 - 27. Let t be p(15). What is the remainder when 98 is divided by c(t)?
48
Suppose 2*n - 21218 = -5*s, -901 + 885 = 4*s. What is the remainder when n is divided by 13?
11
Let k(i) = -4*i - 49. Let f be k(-13). Suppose -260 = -p + 5*d, 0 = -5*p + p + f*d + 955. Calculate the remainder when p is divided by 16.
11
Suppose 4*o = -338 + 346. Calculate the remainder when -3*(-1 + 0) - (-1530)/51 is divided by o.
1
Suppose m - 6562 = 4*w - 2089, -4*w = 2*m - 8934. What is the remainder when m is divided by 24?
5
Let q(n) = 7*n**3 - 2*n**2 + n. Let s be q(1). Suppose -s*f = -13*f + 70. Calculate the remainder when 27 is divided by f.
7
Let m be (954 - 2)/(-7)*-8. Let k = -831 + m. What is the remainder when k is divided by 121?
15
Let s(t) = -7*t**2 - 29*t + 13. Let x be s(-6). Let b = 80 + x. What is the remainder when 28 is divided by b?
13
Let g = 11 + 0. Suppose 6*t + 35 = g*t. Suppose -95 = 2*c - t*c. Calculate the remainder when 27 is divided by c.
8
Let u(k) = -51*k - 278. What is the remainder when u(-12) is divided by 5?
4
Let s = 21632 - 7956. Calculate the remainder when s is divided by 190.
186
Let y(f) = 8*f**2 - f - 6. Let s be y(3). Let a be 33/(-27) + 10/45 + s. Calculate the remainder when 1*3 + 12/(-12) + a is divided by 17.
13
Suppose 0 = 5*a - 4*h - 1917, -2*a + 454 + 340 = -5*h. What is the remainder when a is divided by 123?
8
Let u be ((-1)/1)/((-5)/720*1). Calculate the remainder when 4 - u/56*7*-1 is divided by 5.
2
Let l(f) = -9*f**3 - 3*f**2 - 2*f. Let a be l(-2). Suppose 266*q - a = 262*q. What is the remainder when 366 is divided by q?
14
Suppose -6*z - 780 = -3*b, 0 = -5*b - 4*z + 789 + 567. What is the remainder when b is divided by 27?
25
Suppose 0 = 101*i + 55*i - 20904. Calculate the remainder when 498 is divided by i.
96
What is the remainder when ((-530)/(-14))/(482/(-1687))*(-84)/10 is divided by 15?
3
Let i(p) = -32*p**2 - 1. Let g be i(-1). Let w = g - -62. Let t(j) = -4*j**3 - 124*j**2 + 5*j + 163. Calculate the remainder when w is divided by t(-31).
5
Let i = -6278 - -6310. Calculate the remainder when 1403 is divided by i.
27
Let h be (-110)/(-11) - 21/3. Suppose 20 = 3*g + 4*i, 2*g + h*i = 14 - 1. What is the remainder when 77 is divided by g?
5
Suppose y = -5*q + 1469, -q + 160 + 125 = -2*y. Let r = 372 - q. Calculate the remainder when 312 is divided by r.
75
Let h be 2 + (-8)/2 + -1. Let a(d) = d**3 - 21*d**2 + 103*d + 11. Let t be a(13). Calculate the remainder when t - h - (-1)/(4/132) is divided by 12.
10
Suppose 6*f - 20 - 58 = 0. Suppose 112 = 3*w + f*w. What is the remainder when (-104)/(-12)*(-6)/(-4) is divided by w?
6
Calculate the remainder when (2434/(-4))/((46/(-115))/(12/15)) is divided by 23.
21
Let b(z) be the second derivative of 5*z**3/6 + 231*z**2/2 - 636*z. Calculate the remainder when 4/(-10)*4*-5 is divided by b(-45).
2
Let l(o) be the third derivative of -5*o**4/8 + 44*o**3/3 + o**2 + 56*o. What is the remainder when 174 is divided by l(0)?
86
Let a = 75 + -26. Suppose -n - 2*q - 3*q = -121, 0 = 4*n - 2*q - 418. Let g = n - 89. Calculate the remainder when a is divided by g.
15
Let s be -1 + (-1 + 2)*-97. Let g(b) = -b**3 - 22*b + 34. Let w be g(2). Calculate the remainder when 15 is divided by w/21*s/63*6.
7
Let 