
3
Let k = -621 + 1306. Let c = -512 + k. Calculate the remainder when c is divided by 25.
23
Suppose -29*a - 7312 = -45*a. Let x = 494 - a. Calculate the remainder when 134 is divided by x.
23
Let i(u) = -2*u**3 - 3*u**2 + 14*u + 30. What is the remainder when 283 is divided by i(-3)?
13
Suppose -s - 5*c - 9 = 0, -10*s - 48 = -8*s - 5*c. Let l = s + 107. What is the remainder when 347 is divided by l?
83
Let u(c) = -14*c**2 + 2*c + 2. Let m be u(4). Let d be (-18)/63 - m/14. Suppose -3*z + 111 = d. Calculate the remainder when 93 is divided by z.
29
Let u = 3694 - 3602. What is the remainder when 175 is divided by u?
83
Suppose -5 = -5*v + 5. Let c(g) = -3*g**v - g**3 + 2*g**3 - g**2 + 3*g + g**2. Calculate the remainder when c(3) is divided by 3.
0
Suppose 0 = 5*i - 0*i - 15. Suppose 1304*j = 1306*j - 2*b - 86, 4*b = 3*j - 123. What is the remainder when j is divided by i?
1
Suppose 16*w - 21*w + 305 = 0. Suppose c - 34 = -4*m, w*m - 63*m - 74 = -3*c. What is the remainder when 119 is divided by c?
15
Suppose -5*s + 2*q = 31, 8*s - 6*s = 5*q - 4. Let u = 14 + s. Suppose -u*z + 2*z + 690 = 0. Calculate the remainder when z is divided by 28.
26
Let q = -3 - 1. Let p(i) = i**2 - 9*i - 31. Let n = -31 + 112. What is the remainder when n is divided by p(q)?
18
Suppose -28*x + 99*x = -108*x + 12530. What is the remainder when x is divided by 19?
13
Suppose 798*t = 809*t - 7403. What is the remainder when t is divided by 57?
46
Suppose -5*z = 4*q - 179, -4*q + 261 = -z + 76. Suppose -6 = -7*p + 85. What is the remainder when q is divided by p?
7
Let i(h) = -h**2 - 26*h - 23. Let t be i(-26). Let l(z) = -z**3 - 24*z**2 - 30*z - 65. Suppose -x - 44 = -5*x. What is the remainder when l(t) is divided by x?
8
Suppose 64 = 4*y + 7*b - 3*b, -3*y + 50 = 4*b. Suppose 2*o - y = 4. Suppose -o + 4 = -j. Calculate the remainder when 13 is divided by j.
3
Suppose 0 = 13*n - 4*n - 45. Suppose 0 = -n*b + 113 + 17. Calculate the remainder when 127 is divided by b.
23
Let n(t) = -t - 9. Let v be n(-8). Let b(i) = 48*i - 298. Calculate the remainder when b(9) is divided by v - -32 - (7 + -10).
32
Suppose 6900 = 4*d - 16*d. Let f = -525 - d. Calculate the remainder when f is divided by -3 - -1 - -20 - 1.
16
Suppose 33*u = -22867 + 62137. Calculate the remainder when u is divided by 199.
195
Let g(j) = 31*j**2 + 3*j + 1. Calculate the remainder when (5/20)/(3/2196*3) is divided by g(1).
26
Let z(u) = 26*u**2 + 17*u - 9. Let h(a) = -2*a**3 + a**2 + 7*a - 6. Let c be h(2). What is the remainder when z(c) is divided by 57?
54
Suppose 0 = -5*m + 55*m - 600. Let z(s) = 3*s**2 - 2. Calculate the remainder when 25 + -13 - m - (-50)/2 is divided by z(2).
5
Suppose 9*w = 53*w - 220. Suppose 0 = w*v - 3*c - 50, -v + 11*c = 16*c - 38. Calculate the remainder when 36 is divided by v.
10
What is the remainder when (20/50)/(14/35)*463 is divided by 29?
28
Suppose 84*k - 200 = 74*k. Suppose k*l - 27 = 633. What is the remainder when 424 is divided by l?
28
Let t = 2 - -4. Let a = t - 4. Calculate the remainder when 6 + (((-21)/140)/(18/(-30)))/(7/140) is divided by a.
1
Suppose -18*g + 178 - 25 - 9 = 0. Let r be (1 - -1)/((-6)/(-9)). Suppose 0 = 6*f - r*f - 63. What is the remainder when f is divided by g?
5
Let m(a) = 15*a**2 + 5. Let z be -1*1/(-4) + 7026/24. Suppose 8*y = -101 + z. What is the remainder when m(-3) is divided by y?
20
Suppose 60 = -15*n + 17*n. What is the remainder when 91 is divided by ((-18)/n)/(7/(-140))?
7
Let w(i) be the third derivative of -3*i**4/4 + 19*i**3/6 - 59*i**2 + 2*i. What is the remainder when w(-1) is divided by 11?
4
Suppose 5*v - 8*v + 42 = 0. Suppose 5*i + 0*q - 192 = 2*q, 4*q = 5*i - 194. Calculate the remainder when i is divided by v.
10
Suppose 0 = 2*j - 5*o + 5 + 5, -6 = -5*j - 3*o. Suppose j = -10*s + 481 + 389. Suppose 4*h - 135 = h. Calculate the remainder when s is divided by h.
42
Let a = -11023 - -11052. What is the remainder when 1433 is divided by a?
12
Let p(w) = 18*w**2 + w - 1. Let u(d) = -d**2 - 155*d - 2404. What is the remainder when u(-18) is divided by p(1)?
8
Suppose 163*q - 2534 = -126*q - 73*q. What is the remainder when 4099 is divided by q?
4
Suppose -5*c - 18 = -18. Suppose c = -13*k + 121 + 373. Let g(w) = -w**3 + w + 14. What is the remainder when k is divided by g(0)?
10
Suppose 0 = -22*k + 1064 - 50 + 438. Calculate the remainder when 652 is divided by k.
58
Let j = 138 + 59. Suppose -j = -5*l - z, 5*z + 15 = -0*z. What is the remainder when l is divided by 12?
4
Suppose 5*x = 5*d - 255, -267 = -d - 4*d + x. What is the remainder when (-7 - -239) + -55 + -18 is divided by d?
51
Let y(r) = -2*r**2 + 58*r + 42. Let m be y(27). What is the remainder when 35 is divided by (100/(-15) + 6)/((-4)/m)?
10
Let p(h) = 2*h**2 - h**2 + 7 - 2*h**2 + 6*h**2. Calculate the remainder when 161 is divided by p(-2).
26
Let r(m) = -m**3 + 26*m**2 + 37*m - 243. Calculate the remainder when 1831 is divided by r(27).
22
Suppose 36*m - 123 + 84 = 213. What is the remainder when 13983 is divided by m?
4
Suppose 2496 = -4*r - 2*r. Let d = 457 + r. Calculate the remainder when 612 is divided by d.
38
Let s = -1 - -81. Let y = -77 + s. Suppose -112 = -f - y*f. What is the remainder when 49 is divided by f?
21
Let i be -7 + (12 - 4) - 16. Let q(z) = -6*z - 39. Calculate the remainder when q(i) is divided by 28.
23
Suppose -r + 2*u = 4*r - 577, -u = r - 121. Let l(d) = 3*d**2 - 24*d + 63. Calculate the remainder when r is divided by l(4).
12
Suppose -11*j - 3*j - 290 = -6506. What is the remainder when j is divided by 132?
48
Let u(i) = i + 6. Suppose 0 = 4*y + 4*x - 28, -5*y + 4*x = -x - 15. Let a = -1254 - -1258. What is the remainder when u(y) is divided by a?
3
Suppose -2*r + 14 = 3*j, -r + 21 = 5*j + 7. Suppose 0 = j*t + 7*t. What is the remainder when t - (-1516)/20 - 1/(-5) is divided by 16?
12
What is the remainder when 1045 is divided by -1*4 - ((-1332)/1)/18?
65
Suppose -x = -5*a + 254 - 86, -491 = 3*x - 2*a. Let z = 177 + x. Calculate the remainder when z is divided by 4.
2
Let f(n) = 3*n**2 + 205*n - 71. What is the remainder when f(-71) is divided by 126?
119
Let o(l) = -l + 217. Let z be o(0). Let r = -141 + z. Suppose 80 = 43*n - 39*n. Calculate the remainder when r is divided by n.
16
Let q = -8548 - -8594. What is the remainder when 1646 is divided by q?
36
Suppose -4*w + n + 23087 = -2*w, 0 = w - 5*n - 11512. What is the remainder when w is divided by 105?
102
Let s(x) = -x**2 - 131*x + 14. Calculate the remainder when 1 + (1 - -40 - 1) is divided by s(-131).
13
Suppose 36*j - 25*j - 814 = 0. What is the remainder when -7*(j/(-14) - 0) is divided by 4?
1
Calculate the remainder when 5197 is divided by 2/(-4)*(21 + -247).
112
Let q(h) = 8*h**2 + 129*h + 817. Calculate the remainder when q(-6) is divided by 109.
4
Let y(q) = 3*q**2 + 10*q + 5. Let t be y(-3). Suppose -t*d + g = 6*g - 15, 2*d = 4*g + 6. Suppose 22 = -3*m + 4*m. What is the remainder when m is divided by d?
2
Suppose 0 = -2*x + n + 4*n + 77, -2*x + 83 = n. Let h(j) = -18*j - 4. Let o be h(-4). Let i = o - 61. What is the remainder when x is divided by i?
6
Suppose -48*z - 9 = -51*z. Suppose z*k = -k + 3*u + 232, 0 = -2*k + 2*u + 114. What is the remainder when k is divided by 16?
13
Suppose 0 = 8*y - 2*y - 451 - 2621. Calculate the remainder when y is divided by 169.
5
Let t be 2397/187 + (-2)/(-11). Suppose t*u - 210 = 3*u. Calculate the remainder when 37 is divided by u.
16
Suppose 0 = -93*n + 104*n - 4829. What is the remainder when n is divided by 248?
191
Let o = -381 + 348. Let x = 251 + o. What is the remainder when x is divided by 17?
14
What is the remainder when 7 - ((-6)/(-9))/((352/572055)/(-16)) is divided by 123?
122
Let m(c) = -77*c**2 + 3*c + 3. Let p be m(-1). Let i = p - -78. What is the remainder when ((-810)/24)/(i/(-4)) is divided by 34?
33
Let q(z) = 9*z - 141. Let p be q(14). Let x(a) = 10*a - 2. Calculate the remainder when x(4) is divided by ((-3)/(-18) + p/(-18))*20.
18
Suppose 114*q + 36*q = 58650. What is the remainder when 886 is divided by q?
104
Let z = 79 - 19. Let v(n) = 3*n**2 + 15*n - 26. Let l be v(-8). Suppose 4*o + 3*j - 103 - 6 = 0, -o + l = -3*j. Calculate the remainder when z is divided by o.
29
Suppose -91 = n - 170. 