the remainder when 24 is divided by m?
3
Suppose 12*y - 4*m + 76 = 14*y, 2*y = 4*m + 108. What is the remainder when y is divided by 21?
4
Let n = -755 + 776. What is the remainder when 32 is divided by n?
11
Suppose -k = -5*k - 20. Let r(v) = 3*v**2 + 11*v + 18. What is the remainder when r(k) is divided by 21?
17
Suppose -8*j - 42 = -2*j. Let z be 0/(3 + 1) - j. Suppose -87 = -z*h + 39. What is the remainder when h is divided by 4?
2
Let k(l) = -l - 7. Suppose -h + v + 4 = -4*h, 0 = 5*v - 25. Let i(p) = -p - 7. Let s(a) = h*i(a) + 4*k(a). Calculate the remainder when 7 is divided by s(-9).
1
Suppose 2*y = 0, h + 3*h + 2*y = 36. Suppose -134 = -5*b + 56. Suppose 5*x = -3*c + b, 5*x - 27 + 117 = 5*c. What is the remainder when c is divided by h?
7
Suppose -4*i + 66 = -3*p + i, 4*p + 88 = -i. What is the remainder when 76 is divided by 11/(p/(-40))*1?
16
Suppose 3*x - 638 = 2*l, -x - 2*l + 231 - 21 = 0. Suppose y + k = -y + 90, 5*y = 4*k + x. What is the remainder when y is divided by 15?
14
Suppose 0 = 3*y + n - 23, -3*y - 5*n + 28 = -3*n. Let k(l) = 5*l**2 + 3*l - 3. What is the remainder when y is divided by k(1)?
1
Let q be 2*(5 + (-15)/6). Suppose -v = -q*v + 3*d + 572, -2*v = -d - 288. What is the remainder when v is divided by 30?
26
Suppose j + j - 25 = 5*i, 4*j + 20 = 0. Let m be i/((4/5)/(-4)). Suppose -3*y + 116 - m = 0. What is the remainder when y is divided by 14?
13
Suppose -270 - 166 = -4*j + 8*x, 2*j - 2*x = 224. What is the remainder when j is divided by 66?
49
Suppose 236 = 3*f - 1402. Calculate the remainder when 72 is divided by (-2)/(-11) - f/(-22).
22
Suppose -18*j + 3438 = -2466. Calculate the remainder when j is divided by 37.
32
Let q = 161 - 159. What is the remainder when 25 is divided by q?
1
Let c(m) = -131*m - 655. Calculate the remainder when 399 is divided by c(-6).
6
Suppose 3*w = -c - 4, 4*c + 16 = 5*w - 3*w. Suppose k + 3*k - 63 = -3*v, -3*v + 15 = w. What is the remainder when 13 is divided by 12/(-9)*(6 - k)?
5
Suppose 0 = 4*r + 2*o - 72, -5*o = -r + 287 - 258. What is the remainder when r is divided by 18?
1
Let x = 5 + -2. Suppose -4*h - x*r + 22 = 0, h - r - 13 = -4. What is the remainder when 12 is divided by h?
5
Let w = -18 - -19. Let k = w - -3. Suppose 0 = -5*i, 2*j + 4*i + 32 = k*j. Calculate the remainder when 62 is divided by j.
14
Let z(x) = -x**3 + 5*x**2 - 2*x + 5. Let j be z(5). Let t = 7 + j. Suppose 2*r - f = -0*f + 8, t*f + 4 = 0. Calculate the remainder when 7 is divided by r.
1
Let o(q) = -q**2 - q. Let p(a) = a**3 + a**2 + 3*a + 12. Let g(u) = -6*o(u) + p(u). What is the remainder when 47 is divided by g(-5)?
13
Suppose -5*y + 2*a = 5*a + 204, -4*a = 2*y + 76. Let j = y + 47. What is the remainder when j is divided by 4?
1
Let q(j) = -499*j - 10. What is the remainder when q(-1) is divided by 12?
9
Let h(l) = l**3 + 3*l + 2 + 36 - 16*l**2 - 12. Calculate the remainder when h(16) is divided by 26.
22
What is the remainder when 88 is divided by (-13)/(52/72)*1/(-1)?
16
Let s be -2*(-2)/12*6. Suppose -s*o - 29 = -3*v + 3*o, -3*v + 4*o = -34. Calculate the remainder when ((10 + -4 - 4) + 3)*7 is divided by v.
17
Let y be (-1452)/14 - (-16)/(-56). Let i = -102 - y. What is the remainder when 15 is divided by i?
1
Let j = 27 - 42. Let n = 19 + j. What is the remainder when (-56)/(-10)*20/8 is divided by n?
2
Let f(c) = -c**3 + 23*c**2 + 33*c - 20. What is the remainder when f(23) is divided by 20?
19
Suppose -232 = -30*c + 158. Calculate the remainder when 500 is divided by c.
6
Suppose -19*i + 528 = -3*i. Suppose -6*n + 2*n - 4*y = -520, y - 654 = -5*n. What is the remainder when n is divided by i?
32
Suppose 0 = g + 2 + 5. Let i(w) = -w**2 - 12*w + 10. Let h be i(g). Suppose 3*r + h = 6*r. What is the remainder when r is divided by 6?
3
Let r = 225 + -213. Calculate the remainder when r is divided by -1 + 0 - (-2 + -2).
0
Suppose -75 + 189 = 6*l. Calculate the remainder when 74 is divided by l.
17
Suppose 5*s + 4 = 4*s - 4*h, 4*h = -5*s - 84. Let p = -11 - s. Calculate the remainder when p is divided by (36/(-27))/(1/(-3)).
1
Suppose 3*u - 3 - 9 = 0. Suppose -3 + 11 = u*z. Suppose 4 = 2*s - 3*y, s - y + z - 6 = 0. What is the remainder when 15 is divided by s?
7
Suppose 4*m - m - 9 = 5*t, -t + 2*m = 6. Let j = -10 - -15. Suppose j*v + t*v = 15. What is the remainder when 11 is divided by v?
2
Suppose 475 = 7*w + 97. Let j(s) = 9*s + 1. Let v be 0*(-2)/(-4) + 2. What is the remainder when w is divided by j(v)?
16
Let r(j) = j**3 + 9*j**2 - 10*j + 8. Let n be r(-10). Suppose -n*o = -23 - 9. Calculate the remainder when 7/(21/36) + 1 is divided by o.
1
Let r(u) = -2 - u**2 - 3*u**2 + 0*u - 5*u**3 + 2*u**3 - 4*u. Let f = 28 + 13. Calculate the remainder when f is divided by r(-2).
13
Suppose 149*m = 157*m - 656. Calculate the remainder when m is divided by 42.
40
Let v = -77 - -129. Suppose -4*u - 4 = -3*u. Calculate the remainder when v is divided by (22 - (-2 - u)) + -2.
16
Suppose 3*a - 5 = 2*a. Suppose -b - 4 = 0, -a*b - 22 - 68 = -2*m. What is the remainder when 1096/24*(-2 - (-4 - 1)) is divided by m?
32
Let p be 4/(0 - -2) + 1. Let x = -178 - -186. Suppose 3*k - d = 16, -6*d + x = -k - p*d. What is the remainder when 26 is divided by k?
5
What is the remainder when 45 is divided by (28 - 0)*3*(-6)/(-63)?
5
What is the remainder when (-4)/(-1)*(7600/(-32))/(-19) is divided by -2*(38/(-4) + 1)?
16
Let t = -351 - -374. Suppose -5*k - 5 = -5*c, -5*k - 6 = -9*c + 5*c. Calculate the remainder when t is divided by (c + 2)/((-1)/(-6)).
5
Let k be 12*-4*2/(-24). Suppose -k*a - 17 = -233. What is the remainder when a is divided by 15?
9
What is the remainder when 155 is divided by 15*(231/55 - (0 - -2))?
23
Let j(s) = s + 14. Let o be j(-6). Let v be 4/6 - o/(-6). What is the remainder when 35 is divided by (-3 - (v + 7))/(-1)?
11
Let q(s) = 28*s**2 - 3*s - 3. Let w be q(-2). Suppose 235 + w = 5*n. Suppose 17 + 1 = x. What is the remainder when n is divided by x?
16
Let t be 18/(-45) - 144/15. What is the remainder when 15*((-86)/t - 5) is divided by 19?
16
Suppose -3*k - 2966 = -8573. Calculate the remainder when 38 is divided by (-4)/(-26) + k/273.
3
Suppose d + 3*o + 3 = 0, 16 = -2*o - 2*o. Suppose -23*a - d = -24*a. Calculate the remainder when 61 is divided by a.
7
Suppose 10*k = 13*k - 12. Suppose 5 + 1 = 3*p, 0 = -3*q + 2*p + 8. Calculate the remainder when k is divided by q.
0
Let k be (-190)/(-45) + -4 - 1087/(-9). Let p = k + -90. Calculate the remainder when p is divided by 8.
7
Let n be (8/8)/((-2)/46). Suppose -6*x + 5*o = -2*x + 85, -x - 5*o = 15. Let w = x - n. Calculate the remainder when w is divided by 3.
0
Suppose -55 = -3*x + 2*p, 0 = -x - p + 6 + 9. Suppose -7*l + 7 = -2*m - 2*l, 3*l - x = 2*m. Calculate the remainder when 5/1*m/(-4) is divided by 11.
9
Let p(u) = 2*u**3 + 13*u**2 - 4*u - 26. Calculate the remainder when 439 is divided by p(-6).
31
Suppose -6*r - 18 = -36. Suppose 0 = r*w - 54 - 279. Calculate the remainder when w is divided by 57.
54
Let s be ((-3)/(-5))/(4/20). Suppose -s*k = -5*m - 4*k + 88, -2*m + 43 = 3*k. Suppose -3 = -4*t + m. Calculate the remainder when 14 is divided by t.
4
Suppose 17*v - 11*v - 54 = 0. What is the remainder when v is divided by 5?
4
Suppose 2*l = 3*t + 81, 5*t - 16 = -l - 8. What is the remainder when 88 is divided by l?
22
Let a = -222 - -304. Calculate the remainder when 981 is divided by a.
79
Let f be (-2)/(-17) + 2274/34. Let d = -49 + f. What is the remainder when 33 is divided by d?
15
Calculate the remainder when 101 is divided by 4/14 + 2691/63.
15
Suppose 5*v - 5 = 10. Let n be (1 - v)/(2/31). Let k = -15 - n. Calculate the remainder when 28 is divided by k.
12
Suppose 4*o + 0*o - 16 = 0, -4*y = -5*o + 4. Let i(g) = 6*g**2 + 3*g + 6. Calculate the remainder when i(y) is divided by 23.
22
Let s = 32 + -30. Suppose -4*y = 20, 4*y = -4*m + m + 610. Suppose s*o - m + 74 = 0. Calculate the remainder when o is divided by 23.
22
Suppose 238 = 78*n - 776. What is the remainder when 39 is divided by n?
0
Let d(h) = h**3 - 6*h**2 + 3*h - 2. Let p(k) = 5*k + 1. Let m be p(9). Let g = m + -17. What is the remainder when g is divided by d(6)?
13
Let h be 8/20 - (-6)/(-15). Suppose -6*f - 3 + 27 = h. Calculate the remainder when f 