t. Let b(x) = 7*x**2 + 2*x - 1. What is the remainder when b(t) is divided by y?
10
Suppose 0 = 192*i - 2397 + 285. Calculate the remainder when 5739 is divided by i.
8
Suppose -h = 1 - 9. Let i = 283 + -232. Suppose -3*u + 7*u - i = 3*z, -3*u = 5*z - 2. What is the remainder when u is divided by h?
1
Suppose 0 = -5*u - 3*u + 6256. Suppose -n - 16*n + u = 0. What is the remainder when n is divided by 13?
7
Suppose g + 28 + 4 = h, 5*g = -h + 20. Calculate the remainder when 654 is divided by h.
24
Suppose i - 550 = -4*i. Let g(v) = -234*v + 253. What is the remainder when i is divided by g(1)?
15
Let d = 32 - 81. Let j = 72 + d. Suppose 0 = -18*x + j*x - 170. Calculate the remainder when x is divided by 6.
4
Let t(k) be the first derivative of -k**3/3 + 6*k**2 - 27*k + 18. What is the remainder when 41 is divided by t(6)?
5
Let b = -36561 + 53390. Calculate the remainder when b is divided by 15.
14
Suppose p - a + 17 = 4*a, 15 = -3*p + 3*a. Let l be (p/(-13) + 9898/728)*88. What is the remainder when 58 is divided by (-19)/114 + (l/12)/5?
18
Suppose 2*t - 2846 = -2*c, -5*t + 253*c + 7073 = 251*c. Calculate the remainder when t is divided by 142.
139
Let r(l) = -16*l + 6. Let t be r(-6). Let h = t - 89. Suppose h*u - 20 = 11*u. What is the remainder when 19 is divided by u?
9
Suppose 0 = -3*w - 4*i - 16, 3*w + 2*w + 5*i = -20. Suppose w = 3*j - 21850 + 7690. What is the remainder when 2/7 + j/140 is divided by 6?
4
Let s be 4 - ((-15)/(-9) + (-2)/3). Suppose -112 = -s*v + 116. Calculate the remainder when v is divided by 27.
22
Suppose -2106 = -145*o + 40959 + 4495. What is the remainder when o is divided by 45?
13
Let i(c) = c**2 + 4*c - 33. Let m be i(4). What is the remainder when ((-75)/6)/(m/12) is divided by 39?
33
Let m = -24 - -47. Suppose 5*k - o = 17, -2*o - 3*o = -k + 13. Let n(v) = v**2 + 5*v - 9. Calculate the remainder when m is divided by n(k).
8
What is the remainder when (-3 - (-892)/12)*3 is divided by 2/4*(31 - (5 + 4))*2?
16
Let y be 33/(-88) + 230/16. Suppose 1295 = 49*w - y*w. Suppose 2*a + 2 + 6 = 0, -32 = -5*t - 2*a. Calculate the remainder when w is divided by t.
5
Suppose -10*f = -9*f - 25. Suppose -3942 = -52*t + 3702. What is the remainder when t is divided by f?
22
Let v(f) = -10*f + 203. Let x be v(20). Suppose -4*p = -5*m + 250, 4*p = -x*m + p + 123. What is the remainder when 76 is divided by m?
30
Suppose -8*g + 2639 + 81 = 0. Let v = -265 + g. Let u = 1 - -10. Calculate the remainder when v is divided by u.
9
Let s = 1003 + -815. Calculate the remainder when s is divided by 3/18 - (-213)/18.
8
Suppose -2*w - 3*n = 12, -5*w - n - 4 = -0*w. Suppose 5*t + s - 48 = w, -t - 5*s + 4 = -2*s. Calculate the remainder when 58 is divided by t/1*(-6)/(-2).
28
Let k(y) = -15*y + 416. Let v = -694 - -724. Calculate the remainder when k(0) is divided by v.
26
Let c(d) = -d**2 + 9*d + 41. Let a = 5 + -1. Suppose 0 = -3*v - 3*j + 33, a*j + 6 = 2. Calculate the remainder when 7 is divided by c(v).
2
Let d = -1806 + 1978. Let s(h) = 2*h**2 + 2*h - 5. Let t(o) = o**2 - o + 2. Let i be t(2). What is the remainder when d is divided by s(i)?
32
Suppose 2*q - 2*g = 20, 5*g - 35 = -2*q + 6. Let y(i) = 4*i + 61. Calculate the remainder when y(4) is divided by q.
12
Let o = -104 - -95. Calculate the remainder when 80 is divided by 9/(2 + 15/o).
26
Let g = -207 - -336. What is the remainder when 7/(7/g) + 0 is divided by 66?
63
Suppose 224 = 5*x - 476. Calculate the remainder when 308 is divided by x.
28
Let h(k) = -2*k - 8*k**2 + 7*k - 13 + 0*k + 10*k**2. Suppose n = 0, -f + 34 = f - 3*n. What is the remainder when h(-6) is divided by f?
12
Let d = -1376 + 1410. What is the remainder when 985 is divided by d?
33
Suppose x = 5*u - 5 + 148, -3*x = 4*u - 505. Let k = 713 - 698. What is the remainder when x is divided by k?
13
Let j be 4/(-16) + (-1)/4*-1. Suppose 4*s + 4 = j, -g - s + 7 = -3*s. Suppose -q + g = -9. Calculate the remainder when 41 is divided by q.
13
Suppose 0 = 158*w - 178*w + 27540. What is the remainder when w is divided by 109?
69
Suppose -2*y = o - 2*o - 10, -4*y = -16. Let i be (-55 - o - -2) + 2. Let k = i - -67. Calculate the remainder when 33 is divided by k.
15
Let g(f) = f**3 + 7*f**2 - 4*f - 4. Let b be g(-7). Calculate the remainder when 2/(-12) + 4 + 1612/b is divided by (1 + 50/(-14))*-7.
17
Let j be -5 - (6 + -5 + -28). Suppose g = -3*s + j, s + 4*g - 14 = 7*g. Let p(b) = -b**3 - 6*b**2 - 5*b + 5. What is the remainder when s is divided by p(-5)?
3
Suppose 5*j - 6 = -o - 1, 0 = -5*j + o - 5. Suppose 9*v - 136 - 53 = j. Suppose -94 = -3*f + 92. What is the remainder when f is divided by v?
20
Let q = 287 - 290. Calculate the remainder when 149 is divided by q/(-1 + (-160)/52 + 4).
32
Suppose 9*j + 26*j - 175 = 0. Let f(x) = 6*x**3 + 2*x**2 - 3*x + 2. Let t be f(2). Suppose 9*u - j*u - t = 0. What is the remainder when 24 is divided by u?
11
Let t(z) = z**2 + 3*z - 17. Suppose 69 = -2*s + 91. Calculate the remainder when t(-8) is divided by s.
1
Let a(s) = 24*s + 21. Let k be a(4). Suppose -9*x + 4*x + 2*b = -k, 5*b = 20. What is the remainder when (198/10 + -1)*5 is divided by x?
19
Let m = 21515 - 21071. Let l(i) = -15*i - 4. What is the remainder when m is divided by l(-4)?
52
Suppose 4*h = 12, -330 = -5*x - 4*h - 410 + 277. Suppose -4*u + 87 = -173. Calculate the remainder when u is divided by x.
28
Suppose 982 = 3*i - 2*b, -b = -12 + 11. Calculate the remainder when 658 is divided by i.
2
Suppose 9*s + 360 = 972. Let d = -7 + 21. What is the remainder when s is divided by d?
12
Let w(g) = g**3 - 12*g**2 + 45*g - 44. Calculate the remainder when 985 is divided by w(7).
23
Let u(j) = 6*j + 24. Let d be u(-3). Suppose -v = -d*v + 250. Suppose 3*h + 51 = 6*h. Calculate the remainder when v is divided by h.
16
Suppose -11 = 4*b + 5. Let u(o) = -o - 17. Let a be u(b). Calculate the remainder when 18*a/(-10) - 3/(-5) is divided by 7.
3
Suppose 5 + 5 = 5*n. Suppose -273 = -3*m - 2*x, n*x = 3*m - 2*x - 255. Calculate the remainder when m is divided by 1 + 6/(-7) + (-3140)/(-70).
44
Let j = 292 + -288. Suppose j*u = 2*u, a + 5*u = 260. Calculate the remainder when a is divided by 24.
20
Let x(m) = m**2 + 23*m - 150. Let o be x(9). Let s = -128 + o. Let k(y) = y**3 - 5*y**2 - 10*y + 7. Calculate the remainder when k(7) is divided by s.
5
Suppose -2*b + 2*m = -1054, b = 3*m + 358 + 175. What is the remainder when b is divided by 17?
14
Let o = -5022 - -5051. What is the remainder when 835 is divided by o?
23
Let c = 22949 - 22882. What is the remainder when c is divided by 20?
7
Suppose 1591 = 4*t - t - 5*p, -3*t = 5*p - 1601. Suppose t = -21*g + 28*g. What is the remainder when g is divided by 13?
11
Suppose t + 4*t = 1160. Let x = 327 - t. Calculate the remainder when x is divided by 16.
15
Let u(c) = c + 15. Suppose -3*o + 38 + 22 = 0. What is the remainder when u(o) is divided by 12?
11
Suppose -x - 3*o = -43, -25*x + 82 = -23*x + 5*o. What is the remainder when 4649 is divided by x?
30
Suppose -9*r + 74 + 16 = 0. Suppose r*o - 18 = 152. What is the remainder when 76 is divided by o?
8
Let w(l) = 3*l - 28. Let i(o) = o**3 - 6*o**2 - 7*o + 13. Let f be i(7). Let x be w(f). Let k(q) = 2*q + 9. What is the remainder when k(x) is divided by 5?
1
Let p = 115499 - 115397. Suppose -3*l - k + 69 = l, 0 = -4*l + 4*k + 84. What is the remainder when p is divided by l?
12
Calculate the remainder when (2/4 - 2)*(-115712)/768 is divided by 59.
49
Suppose -18 - 15 = -3*t + 18. Suppose -2*f - 93 + 286 = -5*c, f + 3*c = 91. What is the remainder when f is divided by t?
9
Let t = -23 + 51. Suppose -2*g - 42 = -4*h, 2*h + 24*g - t*g = 12. What is the remainder when 14 is divided by h?
2
Suppose 22*b - 29*b = -105. Let y be (-5)/(b/(-18))*-1. Let h(k) = -k**2 - 10*k - 22. What is the remainder when 17 is divided by h(y)?
1
Let s = 288 - 204. Suppose -2*o = 2*o - s. Suppose 0 = -o*j + 24*j - 9. What is the remainder when 7 is divided by j?
1
Let o(b) = 5*b**2 + 80*b + 311. Calculate the remainder when 360 is divided by o(-10).
8
What is the remainder when 491 is divided by (-3)/5 + 5 + 58/5?
11
Suppose 25*i = a + 20*i - 207, 5*i = -25. Calculate the remainder when (5 - 9)/(-4) + a*1 is divided by 47.
42
Let m(c) = 7 + 1 + 6*c - 7