- 3 = m*p. Let h(x) = 6*x - 14. Calculate the remainder when h(7) is divided by p.
8
Suppose 4*f = -4*p - 3716, 0*p - 2*f = -5*p - 4666. Let h = -526 - p. Suppose h = 8*r - r. Calculate the remainder when r is divided by 30.
28
Suppose 0 = -7095*b + 7105*b - 1330. What is the remainder when b is divided by 29?
17
Calculate the remainder when 73 is divided by (6/45 - (-143)/165)/(2/10).
3
Let g be 16/12 + 2 + 14/(-42). Suppose 1575 = g*u + 69. What is the remainder when u is divided by 56?
54
Let p(x) be the third derivative of x**6/24 - x**3/6 - 6*x**2. Let h be p(1). Calculate the remainder when 29 is divided by 4 - (3 + -11)/h.
5
Let s(v) = 34*v**2 - 2*v - 28. Let r be s(10). Suppose -38*b + r = -220. Calculate the remainder when b is divided by 37.
20
Suppose 111*d - 112*d - 2*w = -736, 0 = d - 2*w - 748. What is the remainder when d is divided by 197?
151
Calculate the remainder when 7 + 0 + 0 + 4/2 + 940 is divided by 34.
31
Suppose -13*d + 198 = -4*d. Suppose d*g + 152 = 26*g. What is the remainder when g is divided by 28?
10
Let x = 68 - 406. Let h = 383 + x. Calculate the remainder when 144 is divided by h.
9
Let c = 144 - 33. Let r = -79008 - -79016. What is the remainder when c is divided by r?
7
Calculate the remainder when 6080/15*(-4 - 50/(-8)) is divided by 17.
11
Let f be (24/7)/(2 + 237/(-119)). Let o = f + -228. Calculate the remainder when o is divided by 61.
58
Let c = -10326 + 10657. Let f = 33 - -34. What is the remainder when c is divided by f?
63
Suppose 4*x = x - 12. Let b be 7 - ((-21)/(-63))/(1/(-12)). Calculate the remainder when (2/x)/(b/(-154)) is divided by 3.
1
Let n = -22 - -24. Suppose -4*a - n*j + 182 = 0, 3*a = -2*a - 4*j + 226. Calculate the remainder when a is divided by 4/(-6) - (-56)/3.
10
Suppose -6*m - 38 = 4. Calculate the remainder when 2 is divided by 35/m + (-21)/(3/(-1)).
0
Let c be ((-5)/((-100)/15))/((-2)/(-136)). Let x = c + -49. Suppose -b - 5 = -x*b. What is the remainder when 18 is divided by b?
3
Suppose -g = 5*i - 1782, 2386*g - 6*i = 2381*g + 8817. What is the remainder when g is divided by 440?
7
Suppose 5*h - 4*o = 1231, 4*h + 2*o = 42 + 948. Suppose 20*m - 1144 - 136 = 0. What is the remainder when h is divided by m?
55
Suppose 0 = 4*t - 578 - 1142. What is the remainder when t is divided by 11?
1
Suppose 2*q - p - 124 = 484, -5*q + 1523 = -p. What is the remainder when q is divided by 87?
44
Let l = -32404 + 32718. Suppose -4*i + 4*a + 51 = -3*i, -i + 5*a + 55 = 0. Calculate the remainder when l is divided by i.
34
Let u = -3653 - -3795. Calculate the remainder when 720 is divided by u.
10
Calculate the remainder when 391/(-46)*-68 - (9 + -1) is divided by 65.
50
Suppose -4*o + 16 = 3*f, 4*o - 7*f = -8*f + 24. Suppose 157 = o*u - 277. Calculate the remainder when u is divided by 19.
5
Let a(j) = -j**2 + 66*j - 792. Calculate the remainder when 599 is divided by a(16).
7
Let x(n) = 5*n + 24. Let v be 4 - (4/2 + 2 + -2). Suppose -a - 2*s = -7, -v*a + s + 20 = 1. What is the remainder when x(a) is divided by 10?
9
Suppose -19*a + 12*a + 406 = 0. Suppose -4*c = 46 - 958. What is the remainder when c is divided by a?
54
Let q(l) = 2*l - 27. Let g be q(15). Suppose -5*k = -3*j + 140, -g*j + k = -k - 137. Suppose 228 + j = 7*n. What is the remainder when n is divided by 16?
7
Let b = 212 + -122. Let j be (12 - 1030/(-20)) + 6/4. Let h = b - j. Calculate the remainder when 122 is divided by h.
22
Suppose 51 = 6*q - 111. Suppose 3*i = 7*i - 5*g - 3143, 3925 = 5*i - 5*g. Calculate the remainder when i is divided by q.
26
What is the remainder when 36/22 + 31233440/6160 is divided by 362?
4
Suppose 2*k - 4*r - 28 + 4 = 0, -k = 5*r + 16. Suppose 6*m = k*m - z + 14, -2*m + 14 = -3*z. What is the remainder when 62 is divided by m?
6
Suppose 0 = -q + 2*o + 34, -6*o + 3*o = 6. Calculate the remainder when 777 is divided by q.
27
Let o(v) = 2*v**2 - 6*v. Let d be o(4). Suppose -2*m + d*m = -42. What is the remainder when 8*((-4)/14)/(1/m) is divided by 7?
2
Suppose 3*u + 127 - 40 = 0. Let c = u + 37. Let r(z) = 6*z - 15. What is the remainder when r(c) is divided by 13?
7
Let z(d) = 34*d**3 + 2*d**2 + d - 3. Let m be 63/(-504)*(-9 - (0 + -1)). What is the remainder when 155 is divided by z(m)?
19
Let v be (0 - 4/(12/(-21))) + 0. Let d be (2 + -2)/(0 - -5 - v). Suppose d = 4*n - 268 - 52. What is the remainder when n is divided by 27?
26
Let a(q) be the first derivative of 11*q**4 - 2*q**3/3 + 3*q**2/2 - 3*q + 114. What is the remainder when -2*1 - (-170 + 3) is divided by a(1)?
39
Let k be (1 + -5)*(-2)/((-32)/(-20)). Suppose 0 = -8*g + 13*g + k. What is the remainder when 3 is divided by (-32)/(-12) + -2 + g/(-3)?
0
Let s = 852 + -493. What is the remainder when s is divided by 60?
59
Let a(r) = 12*r - 4. Calculate the remainder when ((-31)/8)/(6/(-144)) is divided by a(3).
29
Calculate the remainder when 220 is divided by 28 + -36 - (-4 - (100/5 - 1)).
10
Suppose 5*k + 17 = x, 2*x - k = -8 + 15. Calculate the remainder when (4 - 5/x)*(-844)/(-6) is divided by 55.
46
Suppose -5*y + z + 785 = 0, 8*z = -16*y + 14*y + 356. Calculate the remainder when y is divided by 45.
23
Let l = -447 - -442. Let j(d) = -12*d - 50. What is the remainder when 28 is divided by j(l)?
8
Let d(a) be the second derivative of -3*a**5/20 - a**4/2 - a**3/6 - 2*a**2 + 15*a. Let h be d(-4). What is the remainder when 8/2 + h + 3 is divided by 21?
19
Suppose 8*c = 13*c - 25. Let q be (-4)/2 + (c - 1). Suppose -4*w + q*p = -0*p - 98, -4*w - 2*p = -118. What is the remainder when 48 is divided by w?
21
Let d(b) = -b**3 - 4*b**2 + 4*b - 2. Calculate the remainder when 194/24 - (1816/(-96) + 19) is divided by d(-5).
2
Suppose -10967 = -76*r + 8945. What is the remainder when r is divided by 35?
17
Suppose -1251 = -45*a + 1044. Calculate the remainder when 1986 is divided by a.
48
Let c = 7 - 5. Suppose -a + c*r = -2, -5*a - 2*r - 3*r + 85 = 0. Suppose -2*d = 6 - 2, 4*p = -d + 134. What is the remainder when p is divided by a?
10
What is the remainder when -3*((-87)/9 + -5)*4 is divided by 42?
8
Suppose -38*q = -9*q - 120508 - 51636. What is the remainder when q is divided by 12?
8
Suppose 6*g = -5*j + 2764, 1698 = 3*j - 124*g + 121*g. Calculate the remainder when j is divided by 63.
56
Let s be (24/108)/(6/54). What is the remainder when (-24)/(-3)*(s - (-6517)/56) is divided by 79?
78
Suppose 4*j - 18 = x, 2*x = -2*j + 2 + 2. Suppose -3*s + 19 = -107. Calculate the remainder when (-11)/22 - 167/x is divided by s.
41
Suppose 5*q = g + 4*g - 150, 0 = -2*g - 2*q + 68. What is the remainder when (-15738)/(-210) + 108/1890 is divided by g?
11
Let a(t) = -t**3 - 22*t**2 + 25*t + 50. Suppose 5*v - 112 = 63. Let z = -26 + v. What is the remainder when z is divided by a(-23)?
1
Let y(x) = x**3 - 34*x**2 + 187*x + 339. What is the remainder when y(27) is divided by 9?
6
Let n(m) = -2*m**2 - 3*m - 4. Let c be n(-2). Let b = -3744 - -3753. What is the remainder when (-2 - -38) + c/2 is divided by b?
6
Let c = 428 - -1776. Let n = -1293 + c. Calculate the remainder when n is divided by 83.
81
Suppose -157*r + 106*r + 306 = 0. What is the remainder when 794 is divided by r?
2
What is the remainder when 599 is divided by (485*(384/(-40))/(-8))/2?
17
Let v(b) = 235*b**2 + 9*b - 9. Let q be v(1). Suppose -q = -15*w + 920. Calculate the remainder when w is divided by 22.
11
Let i(q) = 900*q - 4440. What is the remainder when 3238 is divided by i(5)?
58
Let v(a) = -a**2 - 27*a - 36. Let t be v(-20). Let y be t/6*(-6)/(-4). Suppose -28*w = -y*w - 20. Calculate the remainder when 67 is divided by w.
7
Suppose 2071 = -170*y + 11591. Calculate the remainder when 1398 is divided by y.
54
Suppose 0 = 21*d - 23*d + 68. Let v = d - -22. Suppose 1 = b, 0 = 5*k + 4*b - v - 8. Calculate the remainder when 41 is divided by k.
5
Let o = -99 - -110. Suppose -57 - 59 = -a. What is the remainder when a is divided by o?
6
Let w(v) = -2*v - 2. What is the remainder when 8 + 1 - 920/(-8) is divided by w(-36)?
54
Suppose -18*n = 19*n - 8823 - 1019. What is the remainder when 269 is divided by n?
3
Let p(t) = -78*t. Let h be p(-1). Let n = -23 - -90. Let w = h - n. What is the remainder when 21 is divided by w?
10
Let p(c) = 2*c**2 + 151*c - 6759. Calculate the remain