-1560 - -2280. Suppose 17*p - v = 7*p. Suppose -3 = -73*k + p*k. Calculate the remainder when 23 is divided by k.
2
Let t(s) = -s**2 - 10*s - 12. Suppose 5*z = -4*b - 7, 6*b - 5*z = 3*b - 49. Let a(x) = x**2 - 16*x - 22. What is the remainder when a(18) is divided by t(b)?
2
Suppose 2*w + 0*w - 222 = 0. What is the remainder when w is divided by (-6)/321 - (-1066500)/76077?
13
Suppose -58*n - 1781 = -5609. What is the remainder when 300 is divided by n?
36
Let w = 13 - 3. Let r(v) = -v**2 + 13*v - 21. Let o be r(10). Suppose 0 = -o*i + 7*i + 32. Calculate the remainder when i is divided by w.
6
Let i be (-1)/(-4) + (-3)/(-4). Suppose -2*g - 15 + 57 = d, 0 = 5*g - 5*d - 135. What is the remainder when 133 is divided by (i/(-3))/(g/(-1863))?
25
Let w = -66 + 108. Suppose 4*s + 166 = 174. Calculate the remainder when w is divided by (-2)/16*s - 333/(-36).
6
Let x(a) = -a**2 - 67*a - 193. Let g be x(-51). Let k = -603 + g. What is the remainder when k is divided by ((-1)/(-2))/((-1)/(-4))?
0
Let o be 562/(-7) + (-2)/(-7). Let p = o - -109. What is the remainder when p is divided by 10?
9
Let q = 16 + 85. Suppose -11*n = -3*n. Suppose 2*c - 5*m = 51, -5*m + q = 2*c - n*m. What is the remainder when c is divided by 10?
8
Suppose -3*z + 6*z + 2*r = 1443, 964 = 2*z + 2*r. What is the remainder when z is divided by 164?
151
Calculate the remainder when 18*40288/(-120)*-1 - (-1)/(-5) is divided by 27.
22
Suppose -2*u + 76 = 2*y, 4*u - 1097*y - 149 = -1098*y. Calculate the remainder when 76 is divided by u.
2
Let j = 16678 - 16634. Calculate the remainder when 224 is divided by j.
4
Suppose 31 = c + 3*q, c - 2*q + 51 = 4*c. Calculate the remainder when 425 is divided by c.
9
Let s = 3148 - 2534. Calculate the remainder when s is divided by 56.
54
Suppose -3*a + 54 + 0 = 0. Let l(i) = 222*i + 1833. What is the remainder when l(-8) is divided by 8/36 - (-266)/a?
12
Suppose 8*o = -90 + 370. Suppose 230 + 3410 = o*c. Calculate the remainder when c is divided by 53.
51
Suppose 5*v + 168 = 48. What is the remainder when 171 is divided by 6/2 + (2 - v)?
26
Suppose -325*u + 79*u + 8568 = 169*u - 7*u. What is the remainder when 2/5 + (-6459)/(-15) is divided by u?
11
Suppose -4*y = a - 15, 0*a = -2*y + 2*a. Let c be (-40)/(-6) + 3 + (-11)/y. Let h(u) = u**2 - 3*u - 10. What is the remainder when h(c) is divided by 5?
3
Suppose 161 = 4*a + 21. Let f(o) = -o**2 + o + 24. Let m be f(-4). Suppose -2 = -n, -5*n = m*y + y - a. What is the remainder when 28 is divided by y?
3
Suppose 18*b - 137 + 29 = 0. What is the remainder when 429 is divided by 15/b*(-344)/(-20)?
42
Calculate the remainder when 426 is divided by 429/2*(-3)/(117/(-26)).
140
Let j = 496 + -494. Calculate the remainder when (0 - j) + (-3510)/(-13) is divided by 16.
12
Let w(m) = -m**3 - 21*m**2 + 2146*m + 52. What is the remainder when 4679 is divided by w(37)?
51
Let i = 369 + -373. Calculate the remainder when 31 is divided by (i/10)/(1/(-10)).
3
Suppose -1917 = -5*p - r, 60*p - 63*p + 2*r + 1158 = 0. Suppose 0 = 386*n - p*n - 202. Calculate the remainder when 704 is divided by n.
98
Let b(k) = -132*k**2 - 1. Let j be b(2). Let w = -389 - j. What is the remainder when w is divided by 13?
10
Suppose 175 + 46 = 3*b + 2. Calculate the remainder when 3063 is divided by b.
70
Suppose -4*k = -5*c - 9*k + 210, -3*c = k - 120. Suppose c*l = 28*l + 803. What is the remainder when l is divided by 20?
13
Suppose 0 = 11*l - 10*l - 176. Let r(h) = -h + 85 - l + 90. What is the remainder when r(-20) is divided by 10?
9
Suppose -2*s - 2*g = -3 + 5, -25 = 5*g. Suppose 4*u + 76 = 5*d - 20, 3*d + s*u = 32. Let v = -49 - -94. Calculate the remainder when v is divided by d.
13
Let l = 11 - 5. Let c be 5/(-40) - 7778/(-16). Let n = c - 386. What is the remainder when n is divided by l?
4
Let d(m) = -3*m - 15. Let x(q) = -11*q + 0*q**2 + 1 + 2*q**2 + 2*q**3 + 12*q - 2. Calculate the remainder when x(2) is divided by d(-8).
7
Suppose 0 = -5*f - 2*p + 9 + 210, 3*f = p + 138. Calculate the remainder when 3194 is divided by f.
44
Let b(j) = -8*j + 69. Suppose -3*v - 223 = -5*r, 0 - 84 = -2*r - 4*v. Calculate the remainder when b(-13) is divided by r.
41
Let v be (-12)/66 + 5784/(-11). Suppose 0 = 5*i - 13 - 37. What is the remainder when v/(-8) - (-17)/68 is divided by i?
6
Let j = 2012 + -1947. What is the remainder when j is divided by 8?
1
Let u(v) = -45*v + 1954. What is the remainder when 2501 is divided by u(43)?
12
Suppose -77*h + 75*h = -10. Suppose -4*i + h = -3, -60 = -4*r - 2*i. Calculate the remainder when 27 is divided by r.
13
Suppose 4*z - 21 = z. Let s(h) = h**3 - 5*h**2 - 10*h - 13. Calculate the remainder when 57 is divided by s(z).
12
Let v = 3509 - 3462. What is the remainder when v is divided by 37?
10
Let k = 69787 + -69767. Calculate the remainder when -21*-1*(-1 - -2) is divided by k.
1
Let s(f) = 12*f**2 - 4*f - 32. What is the remainder when s(-4) is divided by 59?
58
Let p = 469 + -137. Suppose p*y + 172 = 334*y. Calculate the remainder when y is divided by 41.
4
What is the remainder when (-4*(-2)/(-8))/((-10149)/(-3384) - 3) is divided by 372?
12
Suppose 5986 = -238*n + 311*n. What is the remainder when 693 is divided by n?
37
Let v be (-5632)/(-24) + (-2)/3. Let g = -141 + v. Suppose 5*a = -5*u + 85, -a = -0 + 2. Calculate the remainder when g is divided by u.
17
Suppose -3*g + 119 = -1. Suppose 2*h = -2*s - 2*h + g, 2*h = -6. Calculate the remainder when s is divided by 6.
2
Suppose -2*v - 105*o = -107*o - 348, 2*v + 5*o - 292 = 0. Let k(y) = 12*y**2 + 1. What is the remainder when v is divided by k(1)?
10
Let h(d) = -2*d**3 - 148*d**2 - 131*d + 1149. What is the remainder when 7936 is divided by h(-73)?
52
Suppose -47 = -s - 31. Let c = 0 + 4. What is the remainder when c*-4*14/(-8) is divided by s?
12
Let k(q) = 5*q - 19. Let i be k(8). Let g = i - -16. Calculate the remainder when (3/(3/(-71)))/(1 - 2) is divided by g.
34
Let s(o) = -6*o + 70. Let v be s(33). Let z = -106 - v. What is the remainder when 79 is divided by z?
13
Let b be (1 - (-2)/(-4)) + 1365/(-42). Let s be (-74)/(-16) + (-12)/b. What is the remainder when -45*(4 - s)*1 is divided by 16?
13
Suppose -803 = 4*y - 1045 - 910. Calculate the remainder when y is divided by 97.
94
Let a = -75 + 164. Let s be (511/28)/(2/(-8)). Let v = s + a. What is the remainder when v is divided by 7?
2
Suppose -5*l + 2*u + 228 = 0, -4*l - u + 185 = -0*u. Suppose -180 = -2*p - 5*f, 45*p - 2*f + 90 = l*p. Calculate the remainder when p is divided by 7.
6
Let d(r) = 5*r**3 + 42*r**2 + 18*r + 19. Let g = -6 - -8. Suppose -g*j - 2*j + 4*m + 32 = 0, 0 = 4*m - 4. Calculate the remainder when j is divided by d(-8).
0
Let t(i) = 28*i**3 - i**2 - 33*i - 88. What is the remainder when t(7) is divided by 30?
26
Suppose 20*h = 577 + 923. What is the remainder when h is divided by 651/14*2/3?
13
Let z(a) = 14*a - 1. Let p be z(-2). Let m = p + 34. Suppose 5*d = -4*u + 29, -2 = m*u + 18. Calculate the remainder when d is divided by 5.
4
Let i = 9146 - 8675. Calculate the remainder when 957 is divided by i.
15
Suppose 2*i + 2*b - 3408 = 0, b = -2*i - 3*i + 8524. What is the remainder when i is divided by 33?
22
Let f = 8139 + -8085. Calculate the remainder when 1276 is divided by f.
34
Let c = -4560 - -4986. Calculate the remainder when 492 is divided by c.
66
Let y = -6209 - -6220. Calculate the remainder when 481 is divided by y.
8
Suppose 1714 = 2*g - 4*j, -5639 + 1419 = -5*g - 3*j. Calculate the remainder when g is divided by 185.
107
Let x(g) = -g**3 - 2*g**2 + g. Let k be x(-4). Suppose -5*f + 3*f - a + 16 = 0, k = 4*f + a. Calculate the remainder when 58 is divided by f.
4
Let x = 178 - 166. Suppose 2*w - 2*m = -m + 9, 0 = -w + 4*m + 22. Suppose 24 = 2*h + w*h. What is the remainder when x is divided by h?
0
Let m(x) = 106*x**3 + 2*x**2 - 9*x + 5. What is the remainder when 8111 is divided by m(1)?
103
Suppose 4*v + 16 = 4*d, -4*v = 5*d + 39 - 5. Let t be -2 - (-40)/4*v. Let o = t - -87. What is the remainder when 47 is divided by o?
22
Let u = 16 - 10. Let p = -32224 + 32231. What is the remainder when p is divided by u?
1
Let p = 4601 + -4358. Calculate the remainder when p is divided by 13.
9
Suppose -1194*i = -1199*i - 3*w + 36, -4*w + 8 = 0. What