) - m(z). What is the remainder when 135 is divided by f(-12)?
33
Let r(s) be the third derivative of s**4/12 - s**3/3 - 11*s**2. Let y be r(1). Suppose -5*x + 25 + 30 = y. Calculate the remainder when 41 is divided by x.
8
Let b(d) = -d + 9. Let p be b(7). Let y = -3656 - -3702. What is the remainder when y is divided by 3*16/p + 0?
22
Suppose -i = 50*i - 12495. What is the remainder when i is divided by 82?
81
Calculate the remainder when 46 is divided by (4/6)/(-7 + 1275/180).
6
Let t(l) = l**3 + 5*l**2 - 2*l - 4. Let d be t(-5). Suppose -4*p = -3*p - d. What is the remainder when 1/(-3)*-26 + 1*3/9 is divided by p?
3
Suppose 4*z + 458 = 3*u - 0*u, 2*u - 292 = -4*z. Suppose -2*k = -10, 5*g - k - u = -4*k. Calculate the remainder when g is divided by 6.
3
Let n be (-396)/(-10) + (-20)/(-50). Suppose -7*b - n = -11*b. What is the remainder when 16/10*225/b is divided by 13?
10
Suppose -3*v = 4*u - 42, 2*u + 70 = 5*v - 0*u. Suppose 3*q - 434 = -29. Suppose q = -0*s + 5*s. What is the remainder when s is divided by v?
13
Let k be (((-8)/6)/(-4))/(2/24). Let o = 18 - k. Calculate the remainder when 67 is divided by o.
11
Suppose 8 = -v + 5*n, -5*n - 40 = -4*v - 3*n. Let g = -2548 + 2582. Calculate the remainder when g is divided by v.
10
Suppose 12*a + 13 - 133 = 132. Let i = 24 + 5. Let t = 69 - i. Calculate the remainder when t is divided by a.
19
Suppose 0 = -2*s - 3*s + 135. Let o(b) = -682*b - 1968. What is the remainder when o(-3) is divided by s?
24
Suppose k = 4*w + 14, -2*k - w + 7 = 3*k. Suppose -5*c - 2*a + 229 = 0, -75 = -k*c - 3*a + 21. What is the remainder when c is divided by 23?
22
Let q(v) = -23*v**3 - v. Let m = -5 + 4. Calculate the remainder when q(m) is divided by 9.
6
Let u = -53 - 21. Let s = -62 - u. Suppose -a = 2*a - 63. What is the remainder when a is divided by s?
9
Suppose -76 - 32 = -4*m. Suppose 95*n = 124*n - 6177. What is the remainder when n is divided by m?
24
Let z = 40 - 36. What is the remainder when (2 - -2 - z) + 1 + 74 is divided by 39?
36
Suppose 3*x + 2 = -s, 2*s - 22 + 8 = 3*x. Suppose s*c - 19 = 101. Let m(z) = 12*z - 1. Calculate the remainder when c is divided by m(1).
8
Let p = -44 + 74. Let f = -25 + 36. Calculate the remainder when p is divided by f.
8
Let r(t) = -t**2 + 17*t - 20. Let g(h) = 7*h + 4. Let n be g(-4). Let j = -9 - n. Calculate the remainder when 18 is divided by r(j).
8
Suppose 44 = x + 8. Suppose -5*v - v + x = 0. Suppose -55 = -11*y + v*y. What is the remainder when 30 is divided by y?
8
Let n be (3/2)/((-1)/(-2)). Suppose -11 - 51 = -3*u + 5*r, 2*u = n*r + 42. Suppose 12 = -v + u. Calculate the remainder when 32 is divided by v.
8
Let r = 495 - 478. Calculate the remainder when 50 is divided by r.
16
Calculate the remainder when 32571/297 + 4/(-6) is divided by 8.
5
Let d be 90/(-5) + 6/(-2). Let s be 2/6 + (-56)/d. Suppose 0 = -s*g + 5*g - 34. Calculate the remainder when g is divided by 10.
7
Suppose 0 = -9*u + 3*u + 54. Suppose -u*l + 73 + 17 = 0. Calculate the remainder when l is divided by 3.
1
Let z(v) = -v**3 - 32*v**2 + 65*v + 67. Calculate the remainder when z(-34) is divided by 62.
45
Suppose -5*j - 79 = -3*x, -x = 5*j - 0*j + 7. Calculate the remainder when 172 is divided by 957/44*-3*(-16)/x.
56
Let l be 1 + -3 + 8/2. Suppose -3*k + 21 = -l*k + p, -5*p = -3*k + 63. What is the remainder when k is divided by 8?
5
Suppose -13*i + 565 = -2009. Calculate the remainder when i is divided by 99.
0
Suppose 0 = 30*u - 16*u - 126. Let h be -6*(-1 + 3)/4. What is the remainder when ((-92)/(-6))/((-2)/h) is divided by u?
5
Suppose -21*p + 23*p - 822 = 0. Calculate the remainder when p is divided by 46.
43
Let l(j) = j**3 - 5 - 5*j + 8*j + 8*j - 5 + 15*j**2. What is the remainder when l(-14) is divided by 3/9 + 64/6?
10
What is the remainder when 3478/(-141)*6*6/(-8) is divided by 55?
1
Suppose 0 = 444*t - 452*t + 432. Calculate the remainder when t is divided by 14.
12
Suppose -21*o + 255 = -4*o. Suppose 3*m + 9 = 84. Calculate the remainder when m is divided by o.
10
Let u(h) = -h - 3. Let q be u(-6). Suppose q*r + 20 = 4*r. Suppose -3 = -l, -2 = m - 4*l - 1. What is the remainder when r is divided by m?
9
Suppose -5*j - 30 + 320 = 0. Calculate the remainder when j is divided by 32.
26
Let u(y) = -14 - 19*y + 3 + 7*y. Calculate the remainder when 48 is divided by u(-3).
23
Let u be (65/39)/((0 - 2)/(-6)). Suppose 31 = u*x - n - 30, 4*x - 72 = -5*n. Calculate the remainder when 61 is divided by x.
9
Suppose 0*z + 4*z - 52 = 0. Let q be (-4)/(-26) - (-185)/65. Suppose -q*v = -2*g - 65, -6*v + v - 2*g + 135 = 0. What is the remainder when v is divided by z?
12
Let m(f) = 2*f**2 + 2*f - 6. Let q be m(2). What is the remainder when (q/9)/(-1) - (-1023)/9 is divided by 23?
21
Suppose 2*c = -3*c + 10. Let j be (c + -3)/((-1)/(-16)). Let r = 26 + j. Calculate the remainder when 38 is divided by r.
8
Let j be 3 + -4 + 3 + -1. What is the remainder when (2 - 5)/(j/(-39)) is divided by 20?
17
Let s(v) = 13*v**2 + 5*v - 1. Calculate the remainder when s(2) is divided by 11.
6
Let l = -929 + 1169. What is the remainder when l is divided by 22?
20
Let l = -306 + 326. Let k(r) = -r**3 - 5*r**2 - 3*r + 3. Calculate the remainder when k(-6) is divided by l.
17
Let i(f) = f**3 + 3*f**2 - 6*f - 5. Suppose -3*s = -0*s + 12. Let y be i(s). Suppose 6 = y*o - o. Calculate the remainder when 10 is divided by o.
1
Let r = -619 + 633. Calculate the remainder when r is divided by 8.
6
Let u(t) = 3*t + 7. Let m(w) = 2*w + 16. Let g be m(-5). What is the remainder when u(g) is divided by 7?
4
Suppose -3*f + m + 290 = 0, 2*m = 3*f - m - 288. Calculate the remainder when 181 is divided by f.
84
Suppose 938 = 27*w - 2761. What is the remainder when w is divided by 135?
2
Let p(x) = x**2 + 11*x - 9. Suppose 0 = -4*t + 5*g - 51, 0 = -t - 6*g + g - 19. What is the remainder when p(t) is divided by (-6)/(-9) - (-52)/3?
15
Suppose 0 = 11*k - 6*k - 5. Let x be 2 - (0 - -2)*-4. Suppose 5*l - 4*v + x = 0, -2*l - v + 6 = -3. Calculate the remainder when l is divided by k.
0
Suppose q + m = 4*q - 13, -2*m - 21 = -5*q. Suppose 21 = -h - 3*h - q*u, 5 = -u. What is the remainder when 32 is divided by h + 20/(-15)*-6?
5
Suppose -15*o + 471 + 69 = 0. What is the remainder when o is divided by 24?
12
Suppose 7*y - 6*y = 16. Let l(t) = 8*t**2 - 2. Let w be 1*-2 - (-6 + 6). What is the remainder when l(w) is divided by y?
14
Let r = 28 + -70. Let x = r + 55. Suppose 14 = 3*p + 5. What is the remainder when x is divided by p?
1
Let a(o) = o**3 + 8*o**2 + o - 8. Suppose -3*z = 12, 0*z - 4*z = -u + 8. Let s be a(u). Let c = s + 51. What is the remainder when c is divided by 12?
11
Suppose 3*b + 120 = 135. Let w(n) = 4*n - 4. Calculate the remainder when 27 is divided by w(b).
11
Suppose -95 = 8*j + 25. Calculate the remainder when 244*(-2 + j/(-6)) is divided by 41.
40
Let x(s) = s**2 + 3*s + 3. Suppose 2*q - 2 = 7*q - t, -2*t = -4. Calculate the remainder when 12 is divided by x(q).
0
Let k = 387 - 372. What is the remainder when (22/5)/((-2)/(-20)) is divided by k?
14
Suppose 4*t - 3*d = t - 12, d = 5. What is the remainder when 2 is divided by t?
0
What is the remainder when 108 is divided by ((-150)/(-4 + 9))/((-2)/2)?
18
Let h(k) = -14*k**3 - k**2 - 2*k + 2. Let r be h(1). Suppose 0*j - 72 = 2*j. What is the remainder when (r/10)/(3/j) is divided by 10?
8
What is the remainder when 151 is divided by (-4)/((-28)/(-70)*(-10)/8)?
7
Suppose -3*m + 54 = -0. Let x = 21 + -18. What is the remainder when m is divided by 1*(-20)/(-12)*x?
3
Let m be (-1)/4 + (-107)/4. Suppose 4*p = -5*q + 68, -3 = 2*q + p - 32. What is the remainder when 4/18 - 1263/m is divided by q?
15
Let i(x) = 55*x + 5. Let u be i(3). Suppose 3*z + 2*o - 100 = 0, -5*z - 4*o = -0*z - u. Calculate the remainder when 117 is divided by z.
27
Suppose 9*q - 7 = 8*q. Let r(x) = x**3 - 5*x**2 + x - 1. What is the remainder when r(6) is divided by q?
6
Let f = 93 - 91. Suppose -f*n + 0*n + 316 = 0. What is the remainder when n is divided by 16?
14
Suppose -4*d + 475 = d. Let r(n) be the first derivative of n**2/2 + 35*n + 14. What is the remainder when d is divided by r(-10)?
20
Let c be (-142)/(-6) + (-3)/(-9). Suppose 105 - 15 = 5*b + i, -i - c = -b. What is the 