?
6
Suppose -4*i - 2*u = -68, 164*i + 16 = 165*i + u. Calculate the remainder when (-106)/((-1)/1 + -1) is divided by i.
17
Suppose -2*d - a = -22, -3*d + 18 = -3*a - 24. Let o(b) = -b**3 + 4*b - 5. Calculate the remainder when o(-4) is divided by d.
7
Let x(i) = 494*i**2 + 3*i + 1. What is the remainder when x(1) is divided by 100?
98
Suppose -28 = 4*n - 108. Suppose 0*i = -5*i + n. Suppose -2*v + 90 = -d - 3*d, -i*v + 180 = -d. Calculate the remainder when v is divided by 12.
9
Let a(z) = 101*z**2 + 2*z. Let k be a(-2). Suppose k = 5*l - 0. What is the remainder when l is divided by 23?
11
Suppose -p + 6*p = j - 12, -3*j + 3 = -4*p. What is the remainder when 23 is divided by 5/(-15)*p*12?
11
Let q(g) = -g**2 + 9*g - 2. Suppose -156 = -2*o - o. Suppose -s = f - o - 12, -f = -4*s + 251. What is the remainder when s is divided by q(6)?
15
Suppose 2*c - 140 = -2*c - g, 5*c - 4*g = 175. Calculate the remainder when (-17)/((-6)/(-8) + -1) is divided by c.
33
Let t be (-24)/((-3)/(-20) - (-8)/32). Let o = t + 76. Calculate the remainder when 28 is divided by o.
12
Let x(f) = -7*f + 162. Suppose -32 = 5*h - 142. What is the remainder when h is divided by x(21)?
7
Let p be (1 - 0)*-69 - (-2 + 0). Let c = -43 - p. What is the remainder when 70 is divided by c?
22
Let b = -322 - -406. Calculate the remainder when 259 is divided by b.
7
Let f(m) = 21*m - 4. Let y(w) = -11*w**3 + 2*w**2 + w. What is the remainder when f(3) is divided by y(-1)?
11
Let s = -112 + 194. Suppose 2*w = 2*l, 16 = -l - 0*l - 3*w. Let u(b) = b**2 + b + 9. Calculate the remainder when s is divided by u(l).
19
Let m = 6 - 5. Let i = 5 - m. Suppose -i*d + 219 = 23. What is the remainder when d is divided by 10?
9
Let j(s) = 23*s**2 - 2*s + 1. Suppose 5*q = 5*x - 33 - 12, 2*q = -6. What is the remainder when j(1) is divided by x?
4
Suppose 6*l - 36*l = -7080. Calculate the remainder when l is divided by 24.
20
Suppose -94*q + 5*m + 884 = -91*q, 5*q + 2*m = 1494. Calculate the remainder when q is divided by 26.
12
Suppose 0 = 3*f - s - 17, -5*f - 5*s + 53 - 18 = 0. What is the remainder when f is divided by 2?
0
Suppose 3*h - x - 3*x = 248, 2*h - 156 = 5*x. Suppose 2*k + 28 = h. Calculate the remainder when k is divided by (-3)/(6/(-8))*2.
6
Let b(v) be the third derivative of v**4/12 + 31*v**3/2 - v**2 + 1. What is the remainder when 152 is divided by b(-31)?
28
Suppose 4*j - 7 = 5, p - 53 = 3*j. Calculate the remainder when 74 is divided by p.
12
Suppose 106 = 10*q - 34. Let x = q + 6. Suppose 3*m - 45 = -3*d, -4*m + 0*d + 32 = -3*d. What is the remainder when x is divided by m?
9
Let v(n) = n - 4. Let u be v(2). What is the remainder when 42 is divided by u/(-15) + (416/30 - -1)?
12
Suppose 5*h - 87 = s, h + 2 = s + 21. Suppose -2*t + 3*m = 2*t - 27, t - 4*m - 10 = 0. Calculate the remainder when h is divided by t.
5
Suppose 2*b - 194 - 142 = -4*v, 5*b + 4*v - 852 = 0. What is the remainder when b is divided by 29?
27
Suppose -4*s - 294 = -114. Let i = 109 + s. Let h = -36 + i. What is the remainder when 83 is divided by h?
27
Let q(h) = 7*h + 3. Suppose -i + 2*a = -7, -3*i + 2 = 2*a - 3. What is the remainder when q(i) is divided by 14?
10
Let d(r) = r**3 + 4*r**2 - 3*r - 6. Suppose 118 = u + b, -3*u + 0*u + 359 = 4*b. Suppose 0 = 5*x - 128 + u. What is the remainder when d(-4) is divided by x?
0
Let w(b) = -10*b**2 + 4. Let t be w(2). Calculate the remainder when 66 is divided by 2 + -6 - (t + 8).
18
Suppose 0 = 9*d - 5*d - 440. What is the remainder when d is divided by 43 + -4 + (-2 - 0)?
36
Let l(x) = -7*x + 1. Let w be l(-1). Suppose w*f + 390 = 5*f. Calculate the remainder when 38 is divided by ((-2)/4)/(5/f).
12
Let r(s) = -7*s**2 + 14*s + 23. Let l(z) = -3*z**2 + 7*z + 12. Let b(f) = 9*l(f) - 4*r(f). What is the remainder when 7 is divided by b(-3)?
3
Suppose m = 2*g - m - 6, -4*m + 8 = 0. Suppose -5*h = -10*h + g. Calculate the remainder when 2 is divided by h.
0
Suppose -4*q + 90 = g - 29, 2*q - g = 67. What is the remainder when 147 is divided by q?
23
Suppose 17 = 4*z - 39. Suppose -g + z = 10. Calculate the remainder when 29 is divided by g.
1
Let g = 92 + -52. Let o = 15 + -14. Suppose 3*j + o = g. What is the remainder when 64 is divided by j?
12
Let a = -17 - -34. Suppose 4*s - a = -1. Suppose s*x - 47 = 3*v + 15, -3*x + 5*v + 52 = 0. Calculate the remainder when 26 is divided by x.
12
Let g = -229 - -240. What is the remainder when 27 is divided by g?
5
Suppose -257*r = -251*r - 222. What is the remainder when r is divided by 8?
5
Suppose 3*t - 26 = 4*t. Let y = -16 - t. Suppose -b - y = -6*b. Calculate the remainder when 2 is divided by b.
0
Suppose 0*l = -4*l. Suppose l = t + 6*t - 77. Calculate the remainder when 35 is divided by t.
2
Let l(r) be the first derivative of -r**2/2 + 5. Let n = 6 + -4. Calculate the remainder when n is divided by l(-1).
0
Let x = 105 - -66. What is the remainder when x is divided by 35?
31
Suppose -774*t - 22 = -776*t. Calculate the remainder when 87 is divided by t.
10
Calculate the remainder when 0*(-9)/27 - -315 is divided by 53.
50
What is the remainder when 66 is divided by (-3)/((-132)/(-27) + -5)?
12
Suppose -14*j + 17*j - 54 = 0. What is the remainder when 3136/144 + 4/j is divided by 12?
10
What is the remainder when 110 is divided by 3 + 33 + 3*(-5)/3?
17
Let m(o) = o**2 + 6*o + 1. Suppose -7*z - 53 = -4*w - 2*z, -4*w = z - 47. What is the remainder when w is divided by m(-7)?
4
Let h(i) = 3*i - 33. Let v be h(12). Suppose -v*t = -4*y + 26, 0*y + 2*y = 3*t + 10. What is the remainder when 29 is divided by y?
5
Suppose -3 - 19 = -2*y - j, 5*j - 6 = -2*y. Calculate the remainder when 125 is divided by y.
8
Let c(t) = 2*t**2 + 5*t + 6. What is the remainder when c(5) is divided by -10*((-9)/(-27) - 94/30)?
25
Calculate the remainder when 179 is divided by (-204)/119*105/(-2) + 1.
88
Let m = 240 - 179. What is the remainder when m is divided by 9?
7
Calculate the remainder when 39 is divided by -3 - (-17)/((-102)/(-72)).
3
Let k(l) = 2*l**3 - 4*l**2 - 10*l + 3. Let v be k(5). Suppose 3*b - 45 = -3*d, 3*b - v = -2*b + 2*d. Calculate the remainder when b is divided by 14.
5
Let r(x) = -x**3 - 6*x**2 + 7*x - 8. Let g be r(-6). Let k = -8 - g. Calculate the remainder when k is divided by ((-4)/(-8))/((-1)/(-22)).
9
Let n be 2*(10/4 + -3). Let a = -41 + n. Let t = 73 + a. Calculate the remainder when t is divided by 11.
9
Suppose 3*t + 4*f - 30 = 0, -10 = -t + 6*f - 7*f. Calculate the remainder when 124 is divided by t.
4
What is the remainder when (-17)/(9 + (-275)/30) is divided by 31?
9
Let v(x) = -x**2 + 21*x + 7. What is the remainder when v(14) is divided by 27?
24
Suppose -137*j + 138*j = 160. What is the remainder when j is divided by 9?
7
Let x = 29 - -10. Suppose 4*c = -4*b + b + 99, -2*c = 4*b - 62. What is the remainder when x is divided by c?
18
Suppose 4*v + 5*p + 720 = 0, 6*v - 4*p + 334 = 4*v. What is the remainder when 50 is divided by (-5)/2 - v/10?
5
Let w = 5 + -2. Suppose -w*d + 51 = 4*g - 90, -d = 2*g - 69. Suppose 2*t - 2*p - 48 = -2*t, 3*p - 12 = -t. Calculate the remainder when g is divided by t.
9
Let v = 146 - 267. Let n = 241 + -92. What is the remainder when n is divided by (-1)/4 + v/(-4)?
29
Calculate the remainder when (-468)/(-5850) - (21738/(-50))/3 is divided by 43.
16
Suppose 0 = -3*z + z - 2, 2*z = 4*w - 82. Let h be w/(-30)*(-53 + -1). Suppose -o - h = -2*o. Calculate the remainder when o is divided by 19.
17
Let m = -23 - -23. Suppose 0 = 5*z, m*y - 2*y + z + 212 = 0. What is the remainder when y is divided by 27?
25
What is the remainder when 9 is divided by 8 + -7 - (0 + -5)?
3
Let y(o) = 13*o - 1. Let l be y(1). Suppose 0 = g + 2*g - l. Suppose 0 = 5*t - 2*f - 61, f + 46 + 4 = 4*t. Calculate the remainder when t is divided by g.
1
Calculate the remainder when 28 is divided by 230/12 + -3 + (-51)/(-18).
9
Calculate the remainder when (-9604)/(-42)*12/8 is divided by 58.
53
Let f(a) = -a - 2 - 4*a + 0 + 6*a. Let p be f(6). Suppose 47 = m + 2*q + 3*q, -4*m = -p*q - 68. Calculate the remainder when m is divided by 8.
6
Suppose 3*a = -27*h + 22*h + 153, a = -4*h + 121. Calculate the remainder when 927 is divided by h.
27
Let f = 69 + -14. Let t = f + -30. Suppose t = -5*n, -2*a + 5*a = 3*