t k be (-2 + (-14)/(-4))*32/(-16). What is the remainder when m(k) is divided by 12?
6
Let c(k) be the first derivative of 3*k**2/2 + 24*k + 67. Suppose 5*h - 123 = 12. Calculate the remainder when h is divided by c(-3).
12
Let y be (6/3)/((-2)/2). Let f(s) = -9*s - 11. Calculate the remainder when f(y) is divided by 4.
3
Suppose -2*l + 1295 = 3*i - 163, i = -5*l + 499. What is the remainder when i is divided by 8?
4
Let m be 5/15 - 49/3. Let t be (-2116)/m + (-3)/12. Suppose -5*s = -158 - t. What is the remainder when s is divided by 21?
16
Let p = -32 - -55. Let j(c) = 62*c + 5831. Calculate the remainder when j(-90) is divided by p.
21
Let n = 1631 + -1590. What is the remainder when 4385 is divided by n?
39
Let u = -2023 - -2042. What is the remainder when 101 is divided by u?
6
Let b = 2346 + -598. What is the remainder when b is divided by 32?
20
Let q(a) = 3*a**2 - 4*a - a - 2*a**2. Calculate the remainder when 47/7 - (-14)/49 is divided by q(6).
1
Let t(n) = -n**3 - 63*n**2 + 55*n - 2134. What is the remainder when t(-66) is divided by 87?
83
Let u be (12/(-10) + 0)/(30/1125). Let i(c) = c**3 + 5*c**2 + 7*c + 2. Let k be i(-5). Let b = k - u. Calculate the remainder when 21 is divided by b.
9
Let b be ((-75)/6 - 1)/((-3)/6). Suppose 2*n + b = 5*t, -4*n + 6 = -5*t + 25. Calculate the remainder when 1 + (-6)/2 + 27 is divided by t.
4
Let d = 8370 + -7915. Calculate the remainder when d is divided by 137.
44
Suppose 0 = 4*x - 16*x + 60. Suppose -3*g = -0*k + 4*k - 41, -3*k - x*g = -17. What is the remainder when 27 is divided by k?
13
Suppose -473*a + 471*a = -l + 12, 0 = 2*l + 4*a. Calculate the remainder when 41 is divided by l.
5
Suppose -24*d = -36155 - 297853. Calculate the remainder when d is divided by 30.
27
Suppose -80*x + 265 = -775. What is the remainder when 3027 is divided by x?
11
Let w = -128 - -133. Suppose 5*d - 320 = -w*m, 7*d = 2*d - m + 340. What is the remainder when d is divided by 2/(-7) - (-142)/7?
9
Suppose 0 = 17910*d - 17902*d - 336. Let j = -466 + 669. Calculate the remainder when j is divided by d.
35
Let m(p) = -5*p + 83. Let n be (6/(-15))/(3/(-45)). Let w(o) = -o**3 + 7*o**2 - 3*o + 3. What is the remainder when w(n) is divided by m(15)?
5
Suppose 0 = -8*r - 972 + 3116. What is the remainder when r is divided by 141?
127
Let n = -2058 + 2106. What is the remainder when 34701 is divided by n?
45
Let v = -67 - -72. What is the remainder when 2/(v/(-100)*-5) - -3 is divided by 5?
1
Let k = 461 - 449. Suppose 5*s - 129 = -0*d + 3*d, 0 = -4*d - k. What is the remainder when 61 is divided by s?
13
Let u = 83 + -64. Suppose u*p - 918 = 108. What is the remainder when p is divided by 14?
12
Let n(w) = -2*w**3 - 16*w**2 - 14*w + 2. Let t be n(-7). Suppose 660 = -t*j + 12*j. What is the remainder when j is divided by 34?
32
Let o be (-34)/(1 + (-2 - 0)). Let q = 36 - o. Suppose 47 = 3*f - 4*j, j = -q*f - 3*j + 18. What is the remainder when 38 is divided by f?
12
Let x be (-12)/4 + 102/2. Suppose -x = 5*u - 17*u. What is the remainder when 54 is divided by u?
2
What is the remainder when 872 is divided by 1960/(-168)*36/(-21)?
12
Let b = 3 - 0. Suppose -b*w + 432 = 5*x, 5*x - 3*w - 156 = 3*x. Calculate the remainder when x is divided by (-1)/2*(-68 - -24).
18
Let a = -357 + 375. Suppose -6*p + a = -5*p + y, 78 = 3*p - 3*y. What is the remainder when 172 is divided by p?
18
Let j(n) = 3*n - 4. Let x(z) = -3*z + 26. Calculate the remainder when x(3) is divided by j(3).
2
Let r(t) = -8*t - 70. Let w be r(-9). Suppose w*d + 1153 = 5*j, -21*j + 23*j - 3*d = 459. Calculate the remainder when j is divided by 20.
11
Let w = 46 + -41. Suppose 2*o - 3122 = -w*o. What is the remainder when 154 is divided by (12/42 + o/(-42))*-3?
30
Let c be ((-8)/10)/((-6)/(-60)). Let y = c + 10. Suppose 4*o + 7*i + 1 = 10*i, 3*i - 13 = -2*o. Calculate the remainder when y is divided by o.
0
Let n be ((2 + -1)/2)/((-5)/(-240)). Let t be (0 - -2)/(n/(-60)). Calculate the remainder when t*(12/(-10))/(14/63) is divided by 14.
13
Let j(h) = -h**3 + 7*h**2 - h - 5. Let m be j(7). Let w = -1107 - -1105. What is the remainder when 27 is divided by 21/m - w - (-27)/4?
6
Let v(n) = n**3 - 4*n**2 + 6*n - 4. Let x be v(3). Calculate the remainder when 15 is divided by ((-9)/x)/((-33)/110).
3
Let o = -1397 + 1516. Suppose -h = 3*l - l - 42, 0 = -3*l - 2*h + 63. What is the remainder when o is divided by l?
14
Let k(f) = 2*f**2 - 16. What is the remainder when 450 is divided by k(6)?
2
Let v(o) be the first derivative of o**4/4 + o**2/2 + 51*o - 13. Calculate the remainder when v(0) is divided by 39*(6/(-2) + 22/6).
25
Let l be -84*(12/(-36) + (-5)/(-6)). Let v = l - -44. What is the remainder when 12 is divided by v?
0
Let u(w) = 3*w**2 - 12*w - 19. Let q be ((-582)/114)/1 - (-4)/38. What is the remainder when u(q) is divided by 13?
12
Let f = -4439 - -4454. Calculate the remainder when 1676 is divided by f.
11
Let p(v) = 166*v**2 - 3*v - 5. What is the remainder when p(-2) is divided by 37?
36
Suppose -2*x + 5 = -29. Suppose 735*w - 731*w - 26 = -2*s, 0 = -10*w + 40. What is the remainder when x is divided by s?
2
Let o(l) = -6*l**3 + 2*l**2 + 6*l - 4. Let v(y) = -5*y**3 + 3*y**2 + 7*y - 5. Let g(i) = 3*o(i) - 4*v(i). What is the remainder when g(5) is divided by 10?
8
Suppose 2*h + 10 = 0, -14*h - 31 = -x - 10*h. What is the remainder when 4*1*(-43)/(-4) is divided by x?
10
Let t = 22 + -120. Let l = t + 147. Calculate the remainder when l is divided by 36.
13
Let c(m) = -m**2 - 6*m + 8. Let a(t) = -26 - 4 - 1 + 1355*t + t**2 - 1356*t. What is the remainder when a(-10) is divided by c(-6)?
7
Calculate the remainder when 574 is divided by (621/12 - -1) + 25/100.
44
Let i(k) = 8*k**2 - k + 1. Let v be i(-1). Suppose -22 - 48 = -v*q. What is the remainder when 16 is divided by q/((-245)/(-10)) - (-12)/7?
0
Let k(w) = 29*w - 1633. Calculate the remainder when k(64) is divided by 64.
31
Let o(m) = -3*m**3 + 20*m**2 + 46*m + 7. Calculate the remainder when o(-3) is divided by 71.
59
Let p = 2595 - 1691. Suppose 0 = -9*g + p - 58. Calculate the remainder when g is divided by ((-18 - 1) + 3)*-2.
30
Let p(d) = -d + 20. Let m be p(13). Suppose 9*i = 115 - m. Calculate the remainder when i is divided by ((-12)/(-10))/(((-8)/60)/(-1)).
3
Suppose 190*q + 3033 = 199*q. Let t = q + -303. What is the remainder when 112 is divided by t?
10
Let r = 9 + -7. Suppose -r*f + 314 = -0*f. Suppose 17128*x - 17082*x - 1886 = 0. What is the remainder when f is divided by x?
34
Suppose 4858*p + 86 - 1042 = 4856*p. Calculate the remainder when 975 is divided by p.
19
Let o(a) = -4*a**3 - 144*a**2 + 81. What is the remainder when o(-36) is divided by (-981)/(-36) - (-6)/8?
25
Let u = -292 - -532. Let s = -42 - -44. Suppose 5*h - 2*h - 368 = -2*p, 4*p = -s*h + u. Calculate the remainder when h is divided by 42.
40
Let r(s) = -s**3 + s**2 - 7*s - 34. Let b be r(-4). Let h = b - 13. What is the remainder when h is divided by 17?
10
Let z(v) = -963*v + 6764. Calculate the remainder when 6576 is divided by z(7).
21
Let g(r) = 2*r**3 - r**2 + 13*r + 8. Let v be g(6). Suppose v = -5*i - 748. Calculate the remainder when (i*(-1 + (3 - 3)))/2 is divided by 42.
39
Suppose 101*r - 13916 = 30*r. Calculate the remainder when r is divided by 70.
56
Suppose -d - d + 4*t = 10, 0 = 2*t - 8. Let o(h) = 3*h**2 + 2*h - 26. What is the remainder when 15 is divided by o(d)?
1
Suppose -3938*o = -3923*o - 27 - 423. What is the remainder when 295 is divided by o?
25
Suppose 20*b = 603 + 937. Let f = -27 - -29. Suppose -j = -f*d - 37, -22 - 37 = -2*j + d. What is the remainder when b is divided by j?
23
Suppose 5*z - 3*j + j - 11179 = 0, -4*z - j = -8938. Suppose 5*v + 4*d - z = 3*d, 0 = 4*d. What is the remainder when v is divided by 32?
31
Suppose 4*c - 341 = 5*z, -2*z + 44 - 394 = -4*c. What is the remainder when c is divided by 28?
5
Let h = -59 + 60. Let y be (-21 + h)/(20/(-10)). Suppose -8 - y = -3*w. What is the remainder when w is divided by 4?
2
Let b be 644 + -2*(4 - 3). Suppose -8*z + 202 = b. Let u = 140 + z. Calculate the remainder when u is divided by 22.
19
Let h = 23 + -21. Suppose -3*d - h*p = -17, 2*p + 1 = -3. Suppose -d*k + 5*o = -2*k - 30, 3*o = -4*k - 11. What is the remainder when