remainder when k is divided by 12?
10
Suppose 5*r + 5*g = 2695, 3*g = 3*r - 920 - 727. What is the remainder when r is divided by 14?
12
What is the remainder when (76/(-14))/((-276)/4830) is divided by 12?
11
Suppose 5*d = -5*n + 70, -2*d + 34 + 19 = -3*n. Let s(r) = 2*r**2 + r - 4. Calculate the remainder when d is divided by s(-3).
8
Let o(p) = p**2 - 3*p + 7. Suppose t - 5 = 0, 0*h + h = t - 10. Calculate the remainder when o(h) is divided by 12.
11
Let s(k) = -118*k**3 + 3*k**2 + 2*k. Let j be s(-1). Suppose n - j = -2*n - 5*z, 5*n = -z + 169. Calculate the remainder when 63 is divided by n.
30
Let s(p) = 2*p**2 - 63*p - 36. Calculate the remainder when s(33) is divided by (2/3)/(2/39).
11
Suppose 2*g - 4*q - 379 = -3*q, 2*q - 182 = -g. What is the remainder when g is divided by 63?
62
Let c = -9 + 1. What is the remainder when 23 is divided by (-1)/(-2) - 68/c?
5
Let b(r) = -r**3 - 5*r**2 + 11*r + 10. Calculate the remainder when 117 is divided by b(-7).
24
Let w(q) = 34*q**2 - 1. Let b(o) = -6*o**2 - 7 - o + o**3 + 19*o**2 - 4*o**2 + 7*o. What is the remainder when w(-1) is divided by b(-8)?
6
Suppose 4*l = 152 + 280. Suppose 0 = 6*h - 15*h + l. Calculate the remainder when 20 is divided by h.
8
Let w = 682 + -679. What is the remainder when 37 is divided by w?
1
Suppose -4*t + 4*s = -72, -4*s = -0*s - 16. Calculate the remainder when 87 is divided by t.
21
Let s(q) = 4*q**3 - 11*q - q**2 + 3 - 13*q + 21*q. Let d be s(-3). Let a = -66 - d. What is the remainder when a is divided by 20?
19
Suppose 16 = 2*n + 36. Let a(d) = -4*d + 13. What is the remainder when a(n) is divided by 11?
9
Let q(h) = 3*h - 13. Let j be q(-16). Let a = j + 74. Calculate the remainder when 62 is divided by a.
10
What is the remainder when (5 - 6)*1 + 313 is divided by 79?
75
Suppose 4*z - 9*z - 91 = -4*g, 0 = -g + 5*z + 34. Suppose 4*h + q = 74, 4*q + g = 3*h - 27. What is the remainder when 0 + 49 + 2/1 is divided by h?
15
Suppose 20*p + 2*y = 19*p + 799, 0 = -p + 4*y + 793. Calculate the remainder when p is divided by 42.
41
Suppose 63 = l + 5*s, -3*s + 4*s + 269 = 3*l. Calculate the remainder when l is divided by 19.
12
Suppose -7*l = -4 - 87. Suppose -l*c + 9*c = -40. Calculate the remainder when 29 is divided by c.
9
Let d be (92/(-12))/((-2)/(-6)). Let j = 42 + d. What is the remainder when j is divided by 7?
5
Let l(p) = 5*p + 34. What is the remainder when l(13) is divided by 16 + (1 - (5 + -5))?
14
Let q(v) = -101*v**3 - 5*v**2 - 14*v + 1. What is the remainder when q(-2) is divided by 41?
38
Let m(p) = -p**3 + 9*p**2 - 16*p + 45. Calculate the remainder when 306 is divided by m(7).
27
Let f(g) = 3 + 2*g**2 - 21*g - g**2 - 16. What is the remainder when 25 is divided by f(22)?
7
Let p be (-4 + 2 + 6 - 5)*-63. Let h be 4/(-2) + (205 - -1). Suppose -3*r - p + h = 0. What is the remainder when r is divided by 16?
15
Let c be (9/21)/(7/49). What is the remainder when 33 is divided by 16 + c*5/15?
16
Suppose 2*u - 11 = 3*a, -3*u + 45*a = 49*a - 8. Calculate the remainder when 14 is divided by u.
2
Suppose 5*d - 136 - 369 = 4*r, -5*r - 4*d = 662. Let p = r - -210. Calculate the remainder when p is divided by 42.
38
Let a(u) = u**2 - 18*u - 36. Calculate the remainder when 944 is divided by a(21).
26
Let d(k) = 37*k**2 + 1. Let h be -1 + (1 - 2)*-2. Let j = -484 - -498. Calculate the remainder when d(h) is divided by j.
10
Let o(y) = 3*y**2 + 14*y - 15. Let p = -94 - -87. Calculate the remainder when o(p) is divided by 13.
8
Let j = 113 + -46. Let r = -32 + j. What is the remainder when (1 + 0/4)*r is divided by 12?
11
Suppose -8*h + 3*h + 2080 = 5*u, 2*h - 825 = 5*u. Calculate the remainder when h is divided by 28.
23
Suppose 3*c + 2*n + 365 = 0, 6*c - 4*c = 4*n - 254. Let m = 128 + c. What is the remainder when m is divided by 7/3 + (-2)/6?
1
Let d = 177 + -138. What is the remainder when 111 is divided by d?
33
Let k be 26 - (7/1 + -4). Suppose 4*m - 134 = n, -k = -m + n + 12. What is the remainder when 95 is divided by m?
29
Suppose 4*n - 12 = 0, -5*r = 5*n - 9*n - 83. Let a = 52 - -4. Suppose a = l - 0*l. What is the remainder when l is divided by r?
18
Suppose -37*a = -34*a - 3*q - 504, -5*a - 5*q + 850 = 0. Calculate the remainder when a is divided by 25.
19
Let w = 24142 - 24121. Calculate the remainder when 1 + -1 - (-99 + -2) is divided by w.
17
Let q(b) = 56*b**3 - 2*b**2 + b. Let d be q(1). Let j = 65 - d. What is the remainder when j is divided by 8?
2
Let w(t) = t**2 - 7*t + 7. Calculate the remainder when 37 is divided by w(8).
7
Let j(b) = -b**2. Let m(i) = 2*i**2 - i + 4. Let o(f) = -3*j(f) - m(f). Let z be o(-3). Suppose -2*w = z*w - 60. What is the remainder when w is divided by 10?
5
Let w(h) = -4*h**2 + 33*h - 11. Calculate the remainder when w(6) is divided by 12.
7
Suppose 3*o - 3*q - 2*q + 15 = 0, -3 = -q. Suppose o*v = 2*v + 2, -5*v = -2*i + 45. Calculate the remainder when 37 is divided by i.
17
Suppose -4*d - 5*k = -73, -46 = 6*d - 9*d - 2*k. What is the remainder when 18 is divided by d?
6
Suppose s - 2*s = 5*y + 38, -4*s = -4*y + 248. Let w = s + 70. Let u = 13 + -8. What is the remainder when w is divided by u?
2
Let g(r) = -147 + 50 - r**3 + 54 + 3*r**2 - 2*r + 45. What is the remainder when ((-7)/(-3))/((-2)/(-6)) is divided by g(1)?
1
Suppose -2914 = -11*m - 1011. What is the remainder when m is divided by 35?
33
Suppose -2*b = -3*q + 7, -b = q + 3*q - 13. Suppose -q*v - z = -0*z - 467, 2*v - 309 = -3*z. What is the remainder when 38 is divided by (3/9)/(4/v)?
12
Let j(a) = 2*a**2 + 28*a - 48. Calculate the remainder when j(-16) is divided by (-3)/12 + (-74)/(-8).
7
Suppose -3*b + 51 = 8*x - 13*x, 3 = b + 3*x. What is the remainder when 190 is divided by b?
10
Let s(o) = o**3 + 5*o**2 + 2*o - 5. Let a be s(-4). What is the remainder when 2/2 + (a - (-5 + -54)) is divided by 13?
11
Let o be (-1)/(-2 + (-20)/(-12)). Suppose -5*z = -x + 2, 4*x - o*z = z + 40. Calculate the remainder when 23 is divided by x.
11
Suppose 3*t = -4*l + 34, -4*t = -5*t + 2*l + 8. Calculate the remainder when 54 is divided by t.
4
Suppose 0 = 20*r - 88 - 792. Calculate the remainder when 170 is divided by r.
38
Suppose m - 25 = -3*a, -86 + 35 = -5*a - 4*m. Let s(c) = c**3 - 3*c**2 - 2*c - 4. Calculate the remainder when a is divided by s(4).
3
Suppose 0 = -5*f - 4*j, f - 3*j + 5 = 6*f. Calculate the remainder when 43 is divided by 2/(16/34)*f.
9
Suppose n = 6*n + 15. Calculate the remainder when (7 + n)*75/6 is divided by (-4)/6*78/(-4).
11
Let j(z) = -z**2 + 17*z - 37. What is the remainder when 5/(20/(-12)) - (-22)/2 is divided by j(14)?
3
Suppose h - 2*h = -20. Suppose h*d = 22*d - 218. What is the remainder when d is divided by 37?
35
Let m(l) = l**3 + 5*l**2 + 2*l + 1. Let z be m(-4). Let n(a) = 16*a**2 + 3*a. Calculate the remainder when n(-2) is divided by (12/z)/((-9)/(-135)).
18
Suppose -4*m + 66 + 86 = 4*f, -5*f = -4*m + 143. Suppose -17*z + 625 = 50*z - 782. What is the remainder when m is divided by z?
16
Let g = 11 + -7. Suppose r - 5 = 0, -z + g*z = 5*r + 80. Let w(h) = -h**2 - 6*h + 1. Calculate the remainder when z is divided by w(-4).
8
Let m(w) = -11*w + 55. What is the remainder when 194 is divided by m(4)?
7
Suppose 33 = 4*s - 4*r - 27, -s + 5*r + 15 = 0. Suppose 5*c + 59 = 3*o + s, -4*o - 5*c = -12. Calculate the remainder when 47 is divided by o.
7
Suppose -12*j + 34 = -38. Let w be -14 - (-3 - (0 - 2)). Calculate the remainder when j/(-39) + (-80)/w is divided by 2.
0
Suppose 4*g - l = 276, 7*g - 12*g + 3*l = -352. Calculate the remainder when 244 is divided by g.
40
Let w(u) = u**3 + 12*u**2 - 32*u - 21. Calculate the remainder when w(-14) is divided by -2*-1*26/4.
9
Let q(s) = 55*s - 133. What is the remainder when q(4) is divided by 31?
25
Let g(s) be the third derivative of s**4/12 - 11*s**3/3 - 6*s**2. What is the remainder when 14 is divided by g(15)?
6
Suppose 7*d + 719 = 1608. Calculate the remainder when d is divided by 66.
61
Let j(h) = 4*h**2 + 2*h + 2. Let g(r) = r**3 - 17*r**2 + 19*r - 39. What is the remainder when j(3) is divided by g(16)?
8
Suppose -35 = 3*g - 101. What is the remainder when 10 - 530/30*-3 is divided by g?
19
Suppose -6075*u + 6067*u = -15816. Calculate the remainder when u is divided by 22.
1