t is the remainder when 63 is divided by j?
7
Suppose 169 = 4*c + 5*i, -5*i + 4 = -i. What is the remainder when 288 is divided by c?
1
Suppose 8*h + 676 = 228. Suppose 2*k + 104 = -4*f - 108, -f = -2*k - 207. Let c = h - k. Calculate the remainder when c is divided by 10.
8
Let s = 28 - -1. Let c(p) = -5*p - 7. Let v be c(5). What is the remainder when s is divided by ((-21)/(-14))/((-6)/v)?
5
What is the remainder when (-7072)/(-102) + (-4)/3 is divided by 4?
0
Let z = 64 - 60. Calculate the remainder when (2/(-1))/((-16)/88) is divided by z.
3
Let r(k) = -k**2 + 12*k - 1. Let y be r(11). Suppose 3*o = -2*f + 89, -15 - y = -o - 3*f. What is the remainder when o is divided by 11?
9
Let l(r) be the third derivative of -r**6/120 + r**5/10 - r**4/8 - 22*r**2. Let w = 13 + -8. What is the remainder when 29 is divided by l(w)?
9
Let i = 1422 - 1360. Suppose 4*z = 3*f + 65, -1 = -2*f + 1. Calculate the remainder when i is divided by z.
11
Suppose 2*k = -13*y + 16*y - 23, -y + 11 = k. What is the remainder when 1016 is divided by y?
8
Let j(h) = -h**2 - 7*h - 4. Let i be j(-5). Suppose -2*r + 105 = 3*r. What is the remainder when 7 is divided by (-33)/(-7) + i/r?
2
Suppose 10 = -s + 3*s. Suppose 26 + 34 = s*z. Calculate the remainder when (1530/(-120))/(0 - 6/16) is divided by z.
10
Let s = -9 + 14. Calculate the remainder when s/(-15) - 616/(-12) is divided by 27.
24
Let t(z) = 17*z + 1. Suppose 3083 = -2*o + 3225. Calculate the remainder when o is divided by t(1).
17
Let u(c) = -3*c + 50. Let n(d) = 3*d**2 - 5*d + 1. Let t be n(3). What is the remainder when 29 is divided by u(t)?
7
Let c be -2 - -5 - (-1 + 3). Calculate the remainder when 44 is divided by (3 - (-3)/c)*12/8.
8
Let d = -106 + 207. Calculate the remainder when d is divided by (-2)/(-1) - 72/(-3).
23
Let w = 45 + 20. Let f(i) = -10 + 20 + 35*i - 12. Calculate the remainder when w is divided by f(1).
32
Suppose 144*f = 140*f + 220. Calculate the remainder when f is divided by 29.
26
Let l(a) = 6*a**2. Let i be l(1). Let z be i + -4 + -1 + 3. Let w(h) = h**2 - h + 3. What is the remainder when 43 is divided by w(z)?
13
Let b = 849 - 793. What is the remainder when 330 is divided by b?
50
Let x(d) = d**2 + 9*d - 12. Calculate the remainder when 57 is divided by x(-12).
9
Let b(m) = -19*m**2 + 6*m - 9. Let u(c) = 10*c**2 - 3*c + 5. Let z(n) = -4*b(n) - 7*u(n). Calculate the remainder when z(4) is divided by 29.
27
Let z = 34 + -267. Let n = -60 - z. Calculate the remainder when n is divided by 59.
55
Suppose 2013*l - 2011*l = 18. Suppose 0*b = -5*b + 85. Calculate the remainder when b is divided by l.
8
Let j = -215 - -226. What is the remainder when 162 is divided by j?
8
Let g(n) = -9*n + 24. Let w be g(-4). Suppose 116 = 4*b - w. What is the remainder when b is divided by 9?
8
Let p be 2*(1 + 2 - 15). Let k = 53 + p. Suppose b + 2*w = 32, b - w - k = -6*w. Calculate the remainder when b is divided by 18.
16
Let f(u) = -5*u - 9. Let r(n) = -n + 6. Let s be r(7). Let y be 5/(-2 - s) + -1. What is the remainder when f(y) is divided by 11?
10
Let d = -18 + 17. What is the remainder when 2/((-8)/(-21))*8 is divided by (1/d - -2)*11?
9
Suppose 5*k - 479 = 491. Suppose m - k = 2*t, 0 = 2*m + 3*t - 2*t - 373. Calculate the remainder when (-1)/3 - m/(-6) is divided by 9.
4
Let r be 2 + (-3 - (-2 + -1)). Suppose -r*o = 2*a, -a = -4*o - 0*a + 10. Suppose k = o + 10. Calculate the remainder when 23 is divided by k.
11
Let o = -476 + 579. Calculate the remainder when o is divided by 23.
11
What is the remainder when (2144/(-12))/(-4)*(-9)/(-6) is divided by 30?
7
Suppose -2*p + 44 = -6*p. Let x(l) = -4*l - 1. Let y(i) = -21*i - 6. Let v(s) = p*x(s) + 2*y(s). What is the remainder when 28 is divided by v(8)?
13
Let q(g) = -g**3 + 8*g**2 - 5*g - 9. Let y be q(7). Suppose y*n - 41 = -4*i, -3*n + 4 = -3*i - 26. What is the remainder when 21 + 3 + 0/(-3) is divided by n?
6
Suppose 26*b - 18*b = 112. What is the remainder when 152 is divided by b?
12
Let q(g) = -g**2 + 60*g + 55. What is the remainder when 384 is divided by q(60)?
54
Let c = -6 + 69. Suppose 8*n = 2406 - 270. Let m = 278 - n. Calculate the remainder when c is divided by m.
8
Suppose -8 = -3*w + u + 46, -3*w + 4*u + 45 = 0. What is the remainder when 53 is divided by w?
15
Let c be 0 + 8/44 - (-414)/22. Calculate the remainder when 129 is divided by c - (-1 - (-1 + -4 + 4)).
15
Let v = -1 - 6. What is the remainder when v/((-7)/(-4)) - -37 is divided by 12?
9
Let v(f) = 2*f**3 + 8*f**2 - 5*f - 9. Calculate the remainder when 13 is divided by v(-4).
2
Suppose p = -4*p + 225. What is the remainder when p is divided by (11 - (-580)/(-70))*7?
7
Let l(p) = -16*p**3 - 10*p**2 + 5*p + 4. What is the remainder when l(-3) is divided by 84?
79
Let o = 101 + -84. Let r = 118 - 70. What is the remainder when r is divided by o?
14
Suppose -322*k + 75 = -319*k. Calculate the remainder when 474 is divided by k.
24
Suppose -264*f = -246*f - 90. What is the remainder when 222 is divided by f?
2
Let s(d) = -d**3 - 5*d**2 - 2*d - 1. Let y be s(-4). Let q = -4 - y. Calculate the remainder when 10 is divided by q.
0
Suppose 3*h + 14*h = 493. Calculate the remainder when 97 is divided by h.
10
Suppose -898 = -4*f - 270. Let x = f + -92. Suppose 3*v - 66 = -0*v. Calculate the remainder when x is divided by v.
21
What is the remainder when (-1)/(12/(-1077)) + (-8)/(-32) is divided by 7?
6
Calculate the remainder when 62/(-403) + (3388/(-26))/(-2) is divided by 25.
15
Suppose -2*q + 0*g + 2*g - 28 = 0, 4 = 4*g. Let w(d) = -d**2 - 14*d + 3. Let x = -2 + 33. What is the remainder when x is divided by w(q)?
15
Suppose -204 = -2*l - 2*o, 3*o - 413 = -8*l + 4*l. What is the remainder when l is divided by 55?
52
Suppose 4*l + 5*j = 21, -5*l = -3*l - 5*j - 3. Let g be 88/(-33)*4/((-16)/159). Suppose g = l*a - 186. Calculate the remainder when a is divided by 19.
16
Let o be (8 + 2)*24/15. Suppose 5*v - 260 = v. Calculate the remainder when v is divided by o + (-1 + 3)/2.
14
Let b(t) = -t**3 - 27*t**2 + 22*t + 63. What is the remainder when b(-28) is divided by 72?
15
Let s(j) = -j + 19. Suppose -10 = -q + 2*v, v = -5*q - 3*v + 50. Calculate the remainder when s(q) is divided by (1 - -1)*(-15)/(-10) - 0.
0
Suppose v - 2*j + 8 = 0, -4*v + 2*j - 7*j + 33 = 0. What is the remainder when 6 is divided by v?
0
Let i(o) = 7*o**3 - 6*o + 7. Suppose -19 = -v + 8. Calculate the remainder when i(2) is divided by v.
24
Let o(n) = -55*n**3 - 2*n**2 - 6*n - 4. What is the remainder when o(-1) is divided by 31?
24
Suppose -4*z = k + 238, 10*z + 302 = 5*z + k. Let s = z - -99. Suppose -3*u + 40 = -3*y + 7, -2*u - 3*y = -37. Calculate the remainder when s is divided by u.
11
Let o(k) = k + 47. Calculate the remainder when 179 is divided by o(-11).
35
Suppose -2 = -13*t + 11*t + 4*d, d = 5. What is the remainder when 49 is divided by t?
5
Let i(m) = -m**3 + 59*m**2 - 53*m - 201. Calculate the remainder when i(58) is divided by 52.
37
Let b(c) = c**3 - 4*c**2 - 6*c + 80. Calculate the remainder when 461 is divided by b(6).
113
Let s be ((-2)/(-5))/(((-42)/240)/(-7)). Calculate the remainder when 4 is divided by (((-8)/3)/(-4))/(s/24).
0
Suppose -3*d + 3*i + 192 = 0, -104 = -4*d + 5*i + 152. Let z = 67 - d. Calculate the remainder when (-114)/(-10) - 4/10 is divided by z.
2
Suppose 7*x + 2*x - 486 = 0. Calculate the remainder when 213 is divided by x.
51
Suppose -k + z = -137, -5*z - 92 - 173 = -2*k. Let w = -74 + k. What is the remainder when w is divided by 23?
20
Suppose -3*y + 46 = -32. Calculate the remainder when 152 is divided by y.
22
Suppose -x + 37*d = 39*d - 62, -72 = -x - 4*d. Suppose v - 2*v = -19. What is the remainder when x is divided by v?
14
Let u = -419 + 679. Calculate the remainder when u is divided by 53.
48
Suppose 6*w - 10*w = -16. Suppose 4*z = w, -4*h + 14 = -2*z - 20. Let n = -35 - -68. What is the remainder when n is divided by h?
6
Let n = 22 - 13. Let p(r) = r**2 + 5*r + 6. Let l be p(-3). Suppose 2*d + 3*g = l, 26 = -4*d + 5*d - 5*g. What is the remainder when n is divided by d?
3
Suppose j = -3*j + 88. Suppose 18*p + 609 = 25*p. What is the remainder when p is divided by j?
21
Let c = -81 + 109. Calculate the remainder when 194 is divided by c.
26
Let u