s the remainder when l(-29) is divided by 10?
1
Suppose -2*u + 3*m = 4*m - 74, 2*u = -3*m + 82. Let c(x) = 7*x - 3. Calculate the remainder when u is divided by c(3).
17
Let h = 7 + -15. Let t(k) = k**2 + 3*k + 19. Calculate the remainder when t(h) is divided by 31.
28
Suppose 5*h - 21*c + 19*c - 1579 = 0, 0 = 4*c - 12. What is the remainder when h is divided by 64?
61
Suppose 0*g - g + 3*w = -33, -4*g + 2*w = -82. Suppose -j + 9 = -3*m - g, 3*m - 9 = 0. Calculate the remainder when 143 is divided by j.
35
Suppose 4*p - 4 - 16 = 0. Let v be (-8 - -3)*(-7 + 0). Suppose 10*r = p*r + v. Calculate the remainder when r is divided by 5.
2
Let w(s) = -s**2 + 22*s - 27. Let o(u) = 0*u**2 + 0 + 2*u**2 - 3 + 1 + 2*u. Calculate the remainder when o(-5) is divided by w(20).
12
Let v(x) = -132*x - 8. Let t be v(-6). Suppose -3*r + t = 325. What is the remainder when r is divided by 22?
21
Let j = 18 - 16. Suppose 6*d = 4*r + j*d - 8, d = 5*r - 2. Suppose r*f - 5*b + 1 = f, 3*f = -b + 17. What is the remainder when 22 is divided by f?
4
Let b(g) = 5*g - 2. Let n(l) = l**3 - 3*l**2 - 5*l - 3. Let y be n(5). Suppose -o - y = -3*o. Calculate the remainder when b(9) is divided by o.
10
Let f = 159 + -9. Let b = -33 + 84. Calculate the remainder when f is divided by b.
48
Suppose 4*g + 2 - 14 = 0. Suppose 0 = m + 3, m - g*m + 264 = 3*d. What is the remainder when d is divided by 23?
21
What is the remainder when 78/15 - (-31)/(-155) is divided by 5?
0
Let a be (-5)/10 - (-18)/4. Let f(g) = 4*g**2 + 2*g - 8. Calculate the remainder when f(a) is divided by 23.
18
What is the remainder when (-35)/70*(-78)/1 is divided by 4?
3
Suppose -12*s = -14*s + 6. Suppose -4*g + 5*h = -56, 0 = -s*g - 2*g + h + 70. Calculate the remainder when 36 is divided by g.
8
Let z(a) = 11*a + 201. What is the remainder when 330 is divided by z(-8)?
104
Let u(s) = 6*s**3 + s**2 + 2*s - 2. Let t(k) = 2*k**2 - 3*k + 1. Let d be t(5). Let x be (4/(-6))/((-12)/d). Calculate the remainder when u(x) is divided by 14.
12
Let l(m) = 7*m**3 + 4*m**2 - 9*m + 10. What is the remainder when l(3) is divided by 21?
19
Let d be -2 - (1 - -1) - -2. Let a = 524 + -427. Calculate the remainder when a is divided by (2/d)/((-2)/50).
22
Suppose -17*t = -20*t - 324. Let m = t + 125. Let p = 4 - -1. What is the remainder when m is divided by p?
2
Suppose -12*g + 4071 = 11*g. What is the remainder when g is divided by 60?
57
Let p = 123 + 21. What is the remainder when 292 is divided by p?
4
Let w be -1 - (14 - 9/(-3)). What is the remainder when 7 is divided by (-94)/w + 10/(-45)?
2
Suppose 7*s - 210 = 2*s. Let i(x) = -16*x + 10. Let j be i(3). Let f = 49 + j. Calculate the remainder when s is divided by f.
9
Let l = 17 + -10. Let x = 9 - l. Suppose -r + 4*z = -z - 1, -r + 4 = -x*z. Calculate the remainder when 9 is divided by r.
3
What is the remainder when 450/9 - (-1 - -2) - 0 is divided by 13?
10
Let l be 2 + -7 - (-6)/2. Calculate the remainder when 69 is divided by (1 - -3)/(l/(-9)).
15
Let d(u) = -u**2 + 12*u + 15. Let g be d(13). Suppose -g*r + 22 = 76. What is the remainder when (-1464)/r - 6/27 is divided by 28?
26
Let z = -26 - -30. Suppose m - z*m = -375. What is the remainder when (8/(-10))/((-2)/m) is divided by 13?
11
Let o(f) = -11*f**3 + 2*f**2 - 1. Let y be o(1). Let m = -4 - y. Suppose 7*h - 60 = m*h. Calculate the remainder when h is divided by 21.
18
Suppose -j = m + 2*j + 1, j = 3*m - 37. Let q = m - 1. Calculate the remainder when 48 is divided by q.
8
Let p(g) = g - 24. Let c be p(17). Let v(q) be the first derivative of q**3/3 + 5*q**2/2 + 5*q + 1. What is the remainder when v(c) is divided by 5?
4
Let a = 943 - 939. Let z be (-6)/(-8)*(-3 + -1). Calculate the remainder when 23 + (a - 4)/z is divided by 9.
5
Suppose -62 = -2*j + x + x, 5*x = 4*j - 120. Let w = j + -14. What is the remainder when 39 is divided by w?
18
Let r = 365 - 335. What is the remainder when 298 is divided by r?
28
Suppose -d + 2641 = 5*p, d - 2*d - 2111 = -4*p. Calculate the remainder when p is divided by 10.
8
Suppose -q = -0*q - 28. Let y = 100 + -90. What is the remainder when q is divided by y?
8
What is the remainder when 41 is divided by ((-8)/14)/(292/(-5110))?
1
Suppose 2*a + 4*t = 26, -34*a + 31*a + 67 = -t. Calculate the remainder when 130 is divided by a.
4
Suppose 4*c = 4*s - 20, -2*s + 0*s = 3*c. Calculate the remainder when ((-3370)/(-2359))/((-2)/3*3/(-56)) is divided by s.
1
Let k(c) be the first derivative of c**4/4 + 10*c**3/3 - c**2 - c + 1. Calculate the remainder when (2 + -78)*-1 - 2 is divided by k(-10).
17
Let m = -35 - -44. Let t(c) = c**2 - 9*c + 11. Let w be t(8). Suppose -4*o + 4*r + 76 = 0, -2*r + 42 = w*o - 0*r. What is the remainder when o is divided by m?
7
Suppose 2*m = -6, -3*m + 59 = 2*u - 4*m. Suppose -u + 0 = -y. What is the remainder when y is divided by 16?
12
Suppose 64 = 7*m + 9*m. What is the remainder when 250 is divided by m?
2
Suppose -28 = -f - 7. Let g = -41 + 90. Suppose 2*r + g = 171. Calculate the remainder when r is divided by f.
19
Suppose -2*n = -2*g + 534, 16*n = -4*g + 15*n + 1078. What is the remainder when g is divided by 31?
21
Let s(c) = -c**2 - 8*c - 4. Let p be s(-6). Suppose 2*g + 0*g = p. Calculate the remainder when 71 is divided by (g + 4)*18/8.
17
Let x = -68 + 156. Suppose c - x = -0*c. What is the remainder when c is divided by 10?
8
Let i be 2/19 + (-25644)/(-57). Suppose c + i = 134. Calculate the remainder when 97 is divided by c/(-16) + (-2)/(-8).
17
Let l be 1705/99 - 6/27. Suppose -l*i - 25 = -18*i. Let y = -123 + 172. What is the remainder when y is divided by i?
24
Suppose 3*y + 113 = 158. Calculate the remainder when 51 is divided by y.
6
Suppose -4*k = t - 118 - 127, 3*k + 1110 = 5*t. Calculate the remainder when t is divided by 38.
35
Let f(d) = -9*d**3 + 3*d + 4. Let r be (-6)/(-15) + 24/(-10). What is the remainder when f(r) is divided by ((-36)/(-10))/((-2)/(-10))?
16
Suppose 0 = 6*i - 13*i + 3353. What is the remainder when i is divided by 24?
23
Suppose -8283 = -18*y - 15*y. Calculate the remainder when y is divided by 15.
11
Suppose -159*s - 207 = -162*s. What is the remainder when 1101 is divided by s?
66
Suppose -41*a = 596 - 3179. Calculate the remainder when a is divided by 13.
11
Suppose 22*u - 19*u = -12, -4*d + 5*u + 524 = 0. Calculate the remainder when d is divided by 4.
2
Let f(j) = j + 6. What is the remainder when f(0) is divided by (-1)/(-3) + -1 + 88/24?
0
Let i(h) = 11*h**2 - 3 + 10 + 72*h - 37*h - 34*h. What is the remainder when i(2) is divided by 11?
9
Let y = 318 - 267. Calculate the remainder when 355 is divided by y.
49
Suppose 0 = 181*a - 193*a + 456. Calculate the remainder when a is divided by 18.
2
Suppose n + 3*r + 64 = -2*r, r + 92 = -2*n. Let h = n - -54. What is the remainder when h is divided by 4?
2
Let d be (48/20)/(9/1020). Suppose 0 = -10*f + 2*f + d. Calculate the remainder when 99 is divided by f.
31
What is the remainder when 77 is divided by 2*(-9)/2 + 34?
2
Suppose 0 = -4*s - 12, -4*w - s = -5*w + 22. Suppose 3*g = 86 + 19. Calculate the remainder when g is divided by w.
16
Suppose 0 = 46*i - 1741 - 1019. What is the remainder when 192 is divided by i?
12
Let x be -3*(-1 + (-21)/9). Let a be (-14)/(-6) - x/(-15). What is the remainder when 42 is divided by 1 + -4 + a + 23?
19
Let i(g) = g**3 - 2*g**2 + g - 5. Let u be i(0). Calculate the remainder when 94 is divided by (-48)/(-2)*(u + 6).
22
Let b(z) = -z**3 - 66*z**2 - 62*z + 206. Suppose -i - 5*m + 5 = -6*m, 0 = 2*i + 5*m - 31. Calculate the remainder when b(-65) is divided by i.
3
Let b(c) = 8*c**2 - 2*c - 7. Suppose -2*t + 144 = 3*k - 0*k, 0 = -t - 4*k + 67. Suppose -6*u + t = -u. Calculate the remainder when b(3) is divided by u.
14
Let t(o) = -27*o. Suppose -2*b = -y - 14, 4*b - 5*b + 6 = -y. Calculate the remainder when (b/18)/2 + 28700/369 is divided by t(-1).
24
Let q(h) = 44 + 8*h + 8*h + 14*h - 27*h. What is the remainder when 5/(-20) + (-306)/(-8) is divided by q(-10)?
10
Let u(r) = -2*r**3 - r**2 + 1. Suppose 3*k = 3*x + 69, -45 = -0*x + 3*x + 5*k. Let c = x + 25. Calculate the remainder when c is divided by u(-1).
1
Let c be 2/3 + 44/6. Let w be (-4 - 1)/(c/(-48)). Suppose 8 = -2*f + w. What is the remainder when 30 is divi