n w is divided by q.
1
Suppose 224 = 43*q - 35*q. Calculate the remainder when 105 is divided by q.
21
Let s be (-2)/3 - 517/(-33). Let t = -18 + s. What is the remainder when 42 is divided by -4 - (0 + 45/t)?
9
Let w(l) = 0*l**3 - 4*l**2 - l**2 + 6 - l**3 - 32*l + 43*l. Let s be w(-7). Suppose 4*g - 53 = s. What is the remainder when g is divided by 12?
8
Let i(o) = 3*o**2 - 5*o + 2. Calculate the remainder when 58 is divided by i(4).
28
Let l = -130 - -191. Let i = 30 - 14. What is the remainder when l is divided by i?
13
Suppose -3*b = 9*b - 732. What is the remainder when 120 is divided by b?
59
Let a(r) = -r + 12. Let f be 3 - (0 + 3) - 7. Let c = -7 - f. Calculate the remainder when 44 is divided by a(c).
8
Suppose -3*k - 1 = 2*i + 2*i, -k = i - 1. Suppose -p - k*z = -9 - 21, 2*p - 88 = 4*z. What is the remainder when 156 is divided by p?
36
Let o(g) = -4*g - 5. Let t be (-1)/(-2)*(-12 + 4). What is the remainder when 42 is divided by o(t)?
9
Suppose m - 7 - 1 = 0. Let k(b) = -b**2 + 9*b - 5. Suppose -2*p = -5*p - 5*r + 58, 3*r = 2*p - 7. What is the remainder when p is divided by k(m)?
2
Let o = 43 - -9. What is the remainder when o is divided by 22?
8
Let a(d) = -d**2 + 11*d - 4. Let s be a(10). Let f = s + 6. Suppose -5*r + f = -r. Calculate the remainder when 6 is divided by r.
0
Let o be (1430/33)/(2/3). Let n = -59 + o. Calculate the remainder when 10 - 0/(-1 + 2) is divided by n.
4
Let l = 79 - 71. Let s = 1 + l. What is the remainder when 44 is divided by s?
8
What is the remainder when 196 is divided by -7*156/(-56) - 2/(-4)?
16
Let b(w) = -92*w + 92. Let h(y) = 4*y - 4. Let j(x) = -6*b(x) - 136*h(x). Calculate the remainder when j(2) is divided by 5.
3
Suppose 5*x = 20, -21 + 1 = -4*t + x. What is the remainder when 19 + 5*(-4)/(-60)*-18 is divided by t?
1
Let t(b) = -b**2 + 3*b + 17. Let v be t(5). Let z = 26 - v. What is the remainder when 37 is divided by z?
18
Calculate the remainder when 951 is divided by (-10)/50*-10 + 4.
3
Suppose 0 = -0*t + 2*t - 20. Let s(i) = 2*i**3 - 29*i**2 + 13*i + 20. Let m be s(14). Let k = m + t. What is the remainder when 63 is divided by k?
15
Let h(b) = 7*b + 22 - 10*b**2 - b**3 - b**3 + 3*b**3 + 0*b**3. Calculate the remainder when 14 is divided by h(9).
2
Suppose 0 = 41*z - 21*z - 1100. What is the remainder when z is divided by 21?
13
Suppose 3*o + 12 = -o. Let r(l) = 2*l**2 + 2*l - 4. Let y be r(o). What is the remainder when 16 is divided by (-4)/y*3*-4?
4
Suppose -16*m + 3765 = -19739. Calculate the remainder when m is divided by 15.
14
Suppose -4*w = z, -3*z + 5*w = -5*z + 9. Let f(g) = -g**3 - 6*g**2 - 4*g. Let x be f(-4). Let a = x + 37. What is the remainder when a is divided by z?
9
Let t(o) = -o**2 - 25*o - 61. Calculate the remainder when t(-21) is divided by 14.
9
Let n(l) = 2*l**2 - 7*l + 5. Suppose 0 = 6*x - 0*x. Suppose x = 4*j - 54 + 10. Calculate the remainder when n(5) is divided by j.
9
Let z = -7 - -32. Let i be (-6)/60*-6*5*1. What is the remainder when z is divided by -2 + 3*(0 + i)?
4
Suppose -74*o + 1531 = -245. Suppose -w - 188 = -5*w. What is the remainder when w is divided by o?
23
Suppose 0 = 12*u - 7*u - 9*u. What is the remainder when (-6)/(-5)*10/4 is divided by (6 - 6) + 1 + u?
0
Let x = 130 + -34. Suppose x*a - 88 = 94*a. What is the remainder when a is divided by 10?
4
Let y(s) = 19*s + 1 - 9*s + 1. What is the remainder when y(3) is divided by 18?
14
Let w(c) be the second derivative of c**3/2 - 5*c**2/2 + 5*c. Let v be w(7). Let g = 24 - v. Calculate the remainder when 23 is divided by g.
7
Suppose 5 = i + 86. Let c = 140 + i. What is the remainder when c is divided by 15?
14
Let j(t) = 0*t**2 - t**3 - 2*t**2 + t + 10*t**3. Suppose -5*v = -2 - 3. What is the remainder when 13 is divided by j(v)?
5
Suppose -261 = -3*s - 123. What is the remainder when s is divided by 29?
17
Suppose 5*k = 152 + 68. Calculate the remainder when k is divided by 16.
12
Calculate the remainder when 115 is divided by (-1258)/(-12) + 91/78 + -1.
10
Suppose -c + 261 = 5*d - 480, 2 = 2*c. What is the remainder when d is divided by 70?
8
What is the remainder when 34 is divided by (-4)/((-5)/(125/20))?
4
Suppose -k + 3*b = -6, -4*b + 1 = -k - 8*b. Let r = 12 + -2. Suppose -5*z + u + 33 = -r, 2*z - k*u = 25. What is the remainder when z is divided by 5?
3
Suppose 4*h - i + 3*i - 44 = 0, -4*i + 52 = 4*h. Calculate the remainder when (1 - (-3)/(-2))/(3/(-318)) is divided by h.
8
Suppose 141 = 16*z + 13. Let s be (-62)/10 - 4/(-20). Let l = 44 + s. Calculate the remainder when l is divided by z.
6
Let l(a) = -a**3 + 11*a**2 - a - 77. What is the remainder when 2207 is divided by l(10)?
10
Let x(h) be the third derivative of -19*h**4/24 - 12*h**2. Calculate the remainder when (-2)/5 - (-816)/15 is divided by x(-1).
16
Calculate the remainder when 5/(-50) + 3546/60 is divided by 1*3 + -3 + 18 - 2.
11
Calculate the remainder when (572/5)/2 - (-36)/45 is divided by 15.
13
Let q(h) = -3*h**2 - 7*h - 12. Let t be q(-3). Calculate the remainder when 122 is divided by 3/18*-14*t.
38
Let z(w) be the first derivative of -w**4/4 + 10*w**3/3 - 3*w**2 - 20*w + 12. Calculate the remainder when 18 is divided by z(9).
4
Let f(s) = -s**3 - 33*s**2 + 66*s - 123. What is the remainder when 30 is divided by f(-35)?
13
Let g = 916 - 901. Calculate the remainder when g is divided by 13.
2
Suppose -i - 8 = -4*g - 65, -5*i + 380 = -g. Calculate the remainder when 460 is divided by i.
75
Suppose 2*n - 5*d - 4 = 0, 0*n = 4*n + 3*d - 8. Let t(b) = -2*b - 28. What is the remainder when n is divided by t(-15)?
0
Let m = -116 + 184. What is the remainder when m is divided by 2/(4/46)*1?
22
Let g = -191 - -218. What is the remainder when 55 is divided by g?
1
Suppose 0 = 4*s + 5*m - 186, 304*m - 130 = -3*s + 305*m. What is the remainder when 1010 is divided by s?
42
Let f = -27 + 84. Calculate the remainder when f is divided by (-30)/9*18/(-4).
12
Let m(j) = 7*j**3 - 3*j**2 + j - 1. Let v be m(2). Calculate the remainder when ((-1566)/v)/(4/(-10)) is divided by 18.
15
Suppose 0 = -15*d + 170 + 370. What is the remainder when 137 is divided by d?
29
Let f(b) = b**2 - 13*b + 22. Let h be f(11). Suppose -2*r - 6 = h, j + 5*r + 27 = 77. Calculate the remainder when j is divided by 22.
21
Suppose -2*i = -3*k - 274, 7*i + k = 2*i + 651. Calculate the remainder when i is divided by 27.
23
Let j = 93 - 93. Suppose 0 = -j*k - 6*k + 120. What is the remainder when 59 is divided by k?
19
Let r be (4/2)/((-4)/(-8)). Suppose r*w - 21 = 35. Calculate the remainder when 35 is divided by (-6)/(-4) - (-245)/w.
16
Suppose 2*j - 984 = 5*o, 0 = -3*o + 5*j - 769 + 171. What is the remainder when (12/9)/(10/345) is divided by 2/(-4) + o/(-8)?
22
Let h(x) = -x**3 - 10*x**2 - 6*x - 22. Let j be h(-10). Let d be (-2)/(-2)*(-63)/(-7). Let s = j - d. Calculate the remainder when 85 is divided by s.
27
Suppose -64*g + 21746 = 19*g. What is the remainder when g is divided by 90?
82
Let q(f) be the second derivative of f**3/3 - f**2/2 - f. Suppose 0 = 9*d - 6*d - 11*d + 32. Calculate the remainder when q(5) is divided by d.
1
Let o = 186 + -137. What is the remainder when 96 is divided by o?
47
Let j be 124/16 + 2/8. Suppose 3*d = -0 - 6, 0 = -2*u - 4*d - j. Calculate the remainder when (-1 + 69 - 3) + u is divided by 17.
14
Let r(p) = -8*p - 3. Let q be r(-2). Suppose q - 1 = x. Let u = 107 - 62. What is the remainder when u is divided by x?
9
Let n be (-97)/((-4)/(-2) + -3). Let b = -53 + n. What is the remainder when b is divided by 16?
12
Let v(q) = 17*q**2 + 4*q + 6. Let h be v(-2). Suppose 19*x - 16*x - h = 0. Calculate the remainder when x is divided by 10.
2
Suppose 0*o + 3*o = 12. Suppose 5*j - 2*r = 123, -6*r + 3*r - 104 = -o*j. Suppose 10 + j = 3*l. Calculate the remainder when 43 is divided by l.
10
Calculate the remainder when (5/6)/5 - 81686/(-564) is divided by 46.
7
Suppose 25*k = 70*k - 11745. What is the remainder when k is divided by 134?
127
Let y(c) = 4*c**2 + 40*c - 9. Calculate the remainder when 81 is divided by y(-11).
11
Suppose -4*d + 2*k = -234, -d + 6*d - 296 = -k. Let q = d - 44. What is the remainder when 52 is divided by q?
7
Let l(p) = -p**3 + 5*p**2 + 2*p - 8. Suppose -2*f + 15 = f. Let v = 8 - 4. What is th