emainder when s is divided by r(5)?
11
Let a = -4175 + 4789. What is the remainder when a is divided by 123?
122
Let p be (4 - 8)/((-16)/6 + 2). Suppose p*q - 140 = 106. Calculate the remainder when 901 is divided by q.
40
Suppose -19*h - 33*h + 7852 = 0. Calculate the remainder when h is divided by 32 + (-4 - 0)/4.
27
Suppose 4*o = -0*o + 3*p + 80, -2*o + 4*p + 30 = 0. Calculate the remainder when 1678 is divided by o.
22
Let u(z) = z**3 - 2*z**2 + 9*z - 300. Let h be u(0). Let d = -287 - h. Calculate the remainder when 55 is divided by d.
3
Let y = 20 - -17. Let k(g) = -15*g**3 - 4*g**2 - 6*g - 4. Let n be k(-2). Suppose n = 13*a + a. Calculate the remainder when y is divided by a.
5
Let j = -1 - -5. Suppose 5*z + 27*y - 31*y - 19 = 0, 3*z + 3*y - 6 = 0. What is the remainder when ((-36)/(-15))/(z + (-70)/25) is divided by j?
0
Let z(b) = b**3 + 3*b**2 - 6*b - 6. Let p be z(-3). Let g(v) = -4 + p*v - v**2 + 0*v**2 + 10. Calculate the remainder when g(9) is divided by 9.
6
Let s(r) = 4*r**2 + 205*r + 661. What is the remainder when 547 is divided by s(-48)?
29
Let z(v) = v**2 - 232*v + 4923. What is the remainder when 1051 is divided by z(23)?
7
Let v(z) = -z**3 - z**2 - 5*z - 9. Let p be v(-6). Let n = 1029 - 1139. Let x = p + n. Calculate the remainder when x is divided by 23.
22
Suppose -2*r + 114 = 4*g, -3*r = -g + 32 + 7. Let k = -41 - -62. Suppose 0 = 16*p - k*p + g. What is the remainder when p is divided by 2?
0
Let b(m) = 37*m**2 + 2*m + 1. Suppose -3*a - 6113*o + 20 = -6114*o, -3*a - o + 34 = 0. Calculate the remainder when b(-1) is divided by a.
0
Suppose 44*p + 19*p - 6593 - 526 = 0. What is the remainder when 1531 is divided by p?
62
Suppose 2*d - 19 = -c - d, 5*c + d - 39 = 0. Suppose -16 = 4*s, -s = 3*g - 11 - 93. Calculate the remainder when g is divided by -1 - c/(21/(-66)).
15
Let q = -2794 - -5342. Suppose 25*o = -3*o + q. What is the remainder when o is divided by 34?
23
What is the remainder when (-8 + 5)*4 - -122 is divided by -2*(-2)/(-4) + 38?
36
Suppose -4*x = -20, -x = -k + 4*k + 82. Let w = k + 32. Suppose -107 = -w*u - 5*f, -f - 73 = -2*u - 4*f. Calculate the remainder when u is divided by 15.
14
Suppose 51 = p + 15. Let s = p + -25. Calculate the remainder when s is divided by ((-72)/32)/(13/8 - 2).
5
What is the remainder when 6/(-15) + 4544/10 is divided by (180/210)/(270/(-280) + 1)?
22
Suppose 780 + 310 = 2*f - z, -f + 5*z = -536. What is the remainder when f is divided by 201?
144
Let h = 44 + -40. Suppose 240 = -h*o + 9*o. What is the remainder when o is divided by 7?
6
Let m be (-8)/2 + 4 - -1. Let p be 3/3*(-3)/m*1. What is the remainder when 124 is divided by ((7/p)/(-1))/(2/12)?
12
Let o = 28184 - 28174. Calculate the remainder when 28/(-6)*21/(-2) is divided by o.
9
Suppose -9*v = -6*v - 13*g - 189, 99 = 3*v - 3*g. Let o = 6 - 3. Suppose 0 = -o*h + 4*h - 118. Calculate the remainder when h is divided by v.
22
Let o(f) = -f**2 + 6*f - 6. Let t be o(6). Let h = t - -13. What is the remainder when -258*3/(-54) - (-6)/9 is divided by h?
1
Let h be (-3)/9*-1 - 3/9. Suppose -11*t + 4 - 4 = h. Suppose -m - 3*m + 24 = t. What is the remainder when 8 is divided by m?
2
Let k(b) = 285*b + 3090. What is the remainder when k(-8) is divided by 28?
26
Suppose 9*a - 588 = -5*a. Suppose -45*b + a*b = -93. Calculate the remainder when 61 is divided by b.
30
Suppose 5*s + 72 - 23 = -3*i, 0 = s + 5. Let g = 27 + i. Calculate the remainder when g is divided by -68 - -76 - ((3 - 2) + (0 - -2)).
4
Suppose -4*p + 124 - 32 = 0. Suppose o - 30 = p. What is the remainder when o is divided by 14?
11
Let d(x) = -6*x - 53. Let h be (-1)/(-2) + 2 + (-35)/2. What is the remainder when 46 is divided by d(h)?
9
Let p = -27 - -23. Let n be 10/(-40) - 85/p. What is the remainder when 81 is divided by n - 0*1/5?
18
Suppose -29*g = -31*g + s + 753, 7*g + 4*s = 2658. What is the remainder when g is divided by ((-114)/(-15))/((-1)/(-5))?
36
What is the remainder when 741 is divided by (-18)/(-14) + -1 + (-1698)/63*-27?
13
Let j(u) be the second derivative of -u**5/20 + 11*u**4/12 + 4*u**3 + 30*u**2 + 144*u. What is the remainder when 67 is divided by j(13)?
33
Suppose 2*d + 5*o - 5 - 16 = 0, 2*d + 3*o = 15. Suppose -d*u + 135 = 2*u. Calculate the remainder when 188 is divided by u.
26
Let p(y) = 1333*y - 5061. Calculate the remainder when p(4) is divided by 258.
13
Let r(f) be the first derivative of -17 - 6*f - 9/2*f**2. Calculate the remainder when 42 is divided by r(-2).
6
Let a(z) = -z**2 - 32*z + 132. Let f be a(-36). Let t(o) = 5*o + 78. What is the remainder when 45 is divided by t(f)?
9
Suppose 4*n - 26 = -2*y, 3*n + 7 = 6*n - y. Let a be 40/(1/12*n). Let t = 130 - a. Calculate the remainder when 67 is divided by t.
7
Let u = 32266 - 31838. Calculate the remainder when u is divided by 218.
210
Let y = -34188 + 34948. What is the remainder when y is divided by 232?
64
Suppose 2*l + 132 - 51 = 5*z, 4*l + 117 = -5*z. Let k(j) = -j**2 - 36*j + 53. Calculate the remainder when k(l) is divided by 53.
46
Suppose 23*q + 349 = 24*q - 4*k, 3*k = -2*q + 665. Calculate the remainder when q is divided by 93.
58
Let l = -144 + 152. Suppose -15*a - l = -19*a. What is the remainder when 3 is divided by a?
1
Suppose 4*w - 501 + 108 = -5*j, 5*w - 2*j - 450 = 0. Suppose -10*u - 2*o = -13*u + 56, -5*u = -2*o - w. What is the remainder when 29 is divided by u?
11
Let t = 27 + -23. Suppose 9*c + t*c - 39 = 0. Suppose 3*r - c*b - 49 = 23, 5*r + 5*b - 100 = 0. Calculate the remainder when 109 is divided by r.
21
Let o be ((-136)/(-6))/((-12)/(-18)). Suppose 11*m - 21 = o. Suppose -m*c - 31 = -3*t, -4*t - 5*c = t - 25. What is the remainder when 25 is divided by t?
4
Let i(c) = 2*c**3 + 5*c**2 + 4*c - 8. Let q be i(4). Let p = q - 100. What is the remainder when p is divided by 8?
4
Let i(a) = 4*a**2 + 166*a + 5. Calculate the remainder when i(4) is divided by 105.
103
Suppose 58 = g + 6*w, 0 = -3*g + 5*w + 166 - 15. What is the remainder when g is divided by 10?
2
Let t = 31978 - 31675. What is the remainder when 53630 is divided by t?
302
Suppose -3*r - 573 = -8*r + 4*u, -5*r + 2*u + 569 = 0. Suppose 0 = -2*z - 7 + r. What is the remainder when z is divided by 19/((2 - 1) + 0)?
15
Suppose 60 = 4*y - 0*y. Let j = -219845 - -219892. What is the remainder when j is divided by y?
2
Let y = 42 - 19. Calculate the remainder when (191 + -1)*(-9)/(-15) is divided by y.
22
Let y be (-1)/(-5) + 461/(-5). Let x = 94 + y. Suppose -2*n - 3 + 29 = -2*q, x*q = n - 8. Calculate the remainder when 33 is divided by n.
15
Suppose 13*n + 31 = -476. What is the remainder when 57 is divided by (-3 - n/(-21))/((-32)/112)?
6
Let g(h) = h**3 - 44*h**2 - 121*h - 61. What is the remainder when g(47) is divided by 10?
9
Let l(c) = -50*c**2 + 3*c + 2. Let s be l(-2). Let r = -132 - s. Suppose 92*a - 5704 = -2300. Calculate the remainder when r is divided by a.
35
Calculate the remainder when 697 is divided by 1*75 - (517 - 502).
37
Suppose 3*a = s + 763 - 259, 0 = 5*s. Calculate the remainder when 992 is divided by a.
152
Let h = 766 - 757. Calculate the remainder when 2103 is divided by h.
6
Let c = -2593 + 2637. Calculate the remainder when 1098 is divided by c.
42
Suppose -3*m = -3*n + 114, 0 = -2*n + 160*m - 157*m + 71. Let r = 35 + 19. Let o = r - 38. What is the remainder when n is divided by o?
11
Calculate the remainder when 762 is divided by 8/(-14) + (-1)/(91/(-5421)).
54
Suppose 6182 = 14*l + 5958. What is the remainder when 2525 is divided by l?
13
Suppose 566*g = 575*g + 1332. Calculate the remainder when (g/(-10))/(38/1045) is divided by 68.
67
What is the remainder when (3 + 5/(-3))*(6 + 4941/12) is divided by 53?
27
Let v = 80 - -36. Suppose 4*k + 5*y - v - 58 = 0, -2*k + 5*y = -72. What is the remainder when k is divided by (1/((-6)/63))/(6/(-8))?
13
Suppose -m - 1 = -0*m, 182 = 3*j + 4*m. Let d be 1/(-3)*(4 - 22/1). Suppose 0 = -17*z + d*z + 242. What is the remainder when j is divided by z?
18
Let v be -30*((-4)/8 + 0). Suppose v = -3*c - i - 2*i, 0 = -5*i - 15. What is the remainder when 0 + -2 + c - -20 is divided by 10?
6
Let z(p) = p**3 - 3*p**2 + 6*p + 7. Let g be (52 + 319)*(1 + -2 + 0). Let q = 389 + g. Calculate the remainder when z(5) is divided by q.
