der when 20 is divided by m.
0
Let m(k) = 6*k**3 - 2*k**2 - 7*k + 6. Let p be m(3). Suppose 3*q - 168 = p. Calculate the remainder when q is divided by 25.
24
Let w be -11 + 11 + 17*-4. Let j = 106 + w. Calculate the remainder when j is divided by 13.
12
Let i(l) = l**3 + 11*l**2 - 12*l + 7. Let g be i(-12). What is the remainder when 36 is divided by 12/1 + (g - (7 - 1))?
10
Suppose 5*l - 8 - 2 = 0. Let f(x) = x**3 + 86 - 4*x**2 + 4*x**2 - x**l + x. What is the remainder when f(0) is divided by 29?
28
Suppose 12 = -2*b + 4*b. Suppose 0 = -2*q + b - 2. Suppose -5*g - 3*x = -10, -g + 3*x = -q*x - 2. What is the remainder when 2 is divided by g?
0
Suppose -99*l = -95*l - 16. Suppose 2 = l*g - g - 5*q, 3*g + 2*q - 16 = 0. What is the remainder when 22 is divided by g?
2
Suppose 0 = 5*c + 3*f - 150, -5*c + 4*f + 150 = -f. What is the remainder when (-2)/6 + 265/3 is divided by c?
28
Suppose 9 = -2*n - 2*p + 25, 0 = 5*p + 20. What is the remainder when 1077 is divided by n?
9
Suppose -f = 3 - 0. What is the remainder when 46 is divided by 2 - f/((-6)/(-20))?
10
Suppose -27*q - 72 = -26*q. Let x = -41 - q. Calculate the remainder when 90 is divided by x.
28
Let k = 31 - 6. Suppose 0*v - v + k = 0. Suppose 2*w = w + 2*m + 108, -407 = -4*w + 3*m. What is the remainder when w is divided by v?
23
Let f(l) be the third derivative of -l**4/24 - 7*l**3/6 - 4*l**2. Let x be f(-7). Suppose x = 2*v - 0*v - 12. What is the remainder when 11 is divided by v?
5
Suppose 4*g + 20 = 4*h + 8, 5*g + 9 = 2*h. Let v be (0/3 - 0)*g. Let s = v - -6. Calculate the remainder when 9 is divided by s.
3
Let z = 93 + -70. What is the remainder when 131 is divided by z?
16
Let k be ((-9)/(-6))/((-9)/(-48)). Suppose 0 = -4*p + k*p - 180. Suppose 3*x - 6*x = -p. What is the remainder when x is divided by 6?
3
Suppose 5*m - 138 = -u, -3*m + 0*m - 4*u + 93 = 0. Calculate the remainder when m is divided by 14.
13
Suppose 2*q + 4 = 10. Suppose q*z = 3 + 36. Calculate the remainder when 49*((-4)/6 + 70/42) is divided by z.
10
Let w = 52 - 37. What is the remainder when (2 - 6)/((-48)/1416) is divided by w?
13
Let h = 6 + -1. Suppose -h*u - 5*c = -350, c - 143 = -2*u - 2*c. Calculate the remainder when u is divided by 36.
31
Let f(q) = 3*q**2 + 13*q - 9. What is the remainder when 251 is divided by f(-6)?
20
Suppose -7*l = -4 + 18. Calculate the remainder when 35 is divided by 3 + l + (3 + -4)*-18.
16
Let l(x) = -x - 9. Let m be l(-9). Suppose 4 = -m*n - 4*n. Calculate the remainder when 11 is divided by (-2 - n)/(1/(-3)).
2
Let f(b) = 16*b - 15. Let u be f(-2). Let s = 76 + u. What is the remainder when 80 is divided by s?
22
Let v = 13 + -7. Suppose -n = -2*h + 26, 0 = -5*n - 4 - v. Let q(d) = -93*d - 60. Calculate the remainder when q(-1) is divided by h.
9
Suppose 4*w = -2*z + 26, -2*z = -3*z - w + 10. What is the remainder when 158 is divided by z?
4
Let r = -204 + 220. What is the remainder when 127 is divided by r?
15
Let o(t) = -t**2 + 4*t + 1. Let z be o(2). Suppose 4*j - r = -2*r + 12, 0 = -z*j - 2*r + 15. Let y = 8 + j. What is the remainder when 21 is divided by y?
10
Let w(s) = -s**3 + 12*s**2 - 18*s - 20. Let k be w(10). Suppose k = -8*z + 18*z - 930. Calculate the remainder when z is divided by 48.
45
Suppose -67*j = -9052 - 7832. Calculate the remainder when j is divided by 58.
20
Suppose -3*v + p = -77, p + 164 - 33 = 5*v. What is the remainder when (27*-2)/((-1)/1) is divided by 372/v + 2/9?
12
Let a = 88 + 64. Calculate the remainder when a is divided by 51.
50
Suppose -4*d = -75 - 25. Let x be (189/18)/(1/10). Let z = 179 - x. Calculate the remainder when z is divided by d.
24
Let d(r) = r**3 - 3*r**2 - 3*r - 3. Suppose 2*c - 4 - 6 = 0. Suppose -13*b + 18*b = c. What is the remainder when d(4) is divided by b?
0
Suppose -36 = 5*t - 8*t. Suppose -4*l = l - 35. Suppose 0 = -2*w - 4*m + 53 - l, 69 = 3*w - 4*m. What is the remainder when w is divided by t?
11
Suppose 0 = -2*q - 4*l + 130, -4*q + l + 278 = 3*l. Suppose -39 = -2*b + q. Suppose 154 = -9*o + 20*o. What is the remainder when b is divided by o?
13
Suppose 0 = -2*x + 118 + 28. Suppose 5*v - j = -0 + x, 3*v = 2*j + 41. Let t(m) = 2*m**2 - 7*m + 5. What is the remainder when v is divided by t(4)?
6
Suppose -5*r - 2 = -3*r. What is the remainder when ((-10)/r - 2) + 0 is divided by 3?
2
Suppose -640*f + 643*f - 15 = 0. Calculate the remainder when 17 is divided by f.
2
Suppose -3*l + 102 = -5*g, 34 = 5*l - 4*l + 4*g. Let o = 67 - l. Calculate the remainder when (-131)/1*(-2 - -1) is divided by o.
32
Let l(z) = 8*z + 1. What is the remainder when 44 is divided by l(1)?
8
Suppose 4*u - 1686 = 2*t, -3*u = -4*t - 611 - 666. Calculate the remainder when u is divided by 84.
83
Suppose 0 = -2*f - 0 + 4. Suppose -x + 22 = f*x + 2*w, -38 = -5*x - 2*w. What is the remainder when 61 is divided by x?
5
Suppose 4*z - 166 = 50. Suppose 180 = 6*q - z. Calculate the remainder when q is divided by 14.
11
Suppose 2*k = -3*y - 9, -5*y - 12 = 4*k + 1. Suppose 0 = k*u - 0 - 24. Let x(i) = -24*i - 90. What is the remainder when x(-5) is divided by u?
6
Suppose 2937 = 7*d - 5*f, -7*d - 5*f + 391 = -6*d. Calculate the remainder when d is divided by 28.
24
Calculate the remainder when (-567)/(-108)*(-3)/(9/(-32)) is divided by 51.
5
Suppose 152 = 11*i - 101. Let c be ((-51)/3)/(2/(-4)). Let g = 47 - c. Calculate the remainder when i is divided by g.
10
Suppose -4*o - s + 43 = 0, s - 5*s + 2 = -o. Calculate the remainder when 117 is divided by o.
7
Suppose -157 = -2*n + 97. Suppose -2*o = -3*z + 86, -2*o - 44 = -2*z + 2*o. What is the remainder when n is divided by z?
31
Let n = -1529 - -1607. What is the remainder when 317 is divided by n?
5
Let l = -446 - -448. What is the remainder when 33 is divided by l?
1
Let h = 83 - 79. Suppose q = -2*d + 53, -3*d + h*q + 74 = -0*q. What is the remainder when d is divided by 19?
7
Suppose 0 = -23*d - 21*d + 572. Suppose -2*z = -6*z + 4. Calculate the remainder when d is divided by (-7 - -1)*z/(-2).
1
Suppose -47*z = -37*z - 1020. Calculate the remainder when z is divided by 15.
12
Let d = 34 + -24. Let n = d + -6. Suppose n*a + 12 = 100. Calculate the remainder when 64 is divided by a.
20
What is the remainder when 121 - -2*(1 + 0) is divided by 31?
30
Suppose -61*p = -65*p + 100. What is the remainder when 71 is divided by p?
21
Let p(w) = 3*w**2 + 104*w - 87. Let a = 15 + 0. Calculate the remainder when p(-36) is divided by a.
12
Let a = -4 - -7. Let w be (2/a)/(2/51). Let l = -15 + w. Calculate the remainder when 5 is divided by l.
1
Suppose -5*n - 44 = -469. Suppose i - 103 = -4*w, -4*i - n = -5*i + 5*w. Suppose -10 + i = 5*p. What is the remainder when 49 is divided by p?
15
Let u be (-6)/(-60)*406 - 4/(-10). Let k = 54 - u. What is the remainder when k is divided by 5?
3
Let u be 152/6 + (-6)/(-9). Suppose -u = -d - 5. Suppose -d = 3*t - 6*t. Calculate the remainder when 33 is divided by t.
5
Suppose 0 = -2*d - 0*d + 16. Calculate the remainder when d is divided by 15*(24/(-15) - -2).
2
Let c(b) = 14*b**2 - 7*b + 6. Let r = 57 - 33. Calculate the remainder when r is divided by c(1).
11
Suppose -5*s + 10 = 2*y, 2*y - 9 = 4*s + 19. Calculate the remainder when 11 is divided by y.
1
Let r(d) = -d**3 - 2*d**2 + 7*d + 3. Suppose 3*a = 2*a - 5*k + 3, 65 = 3*a + k. Calculate the remainder when r(-5) is divided by a.
20
Suppose 266 = 4*j - 2*c, -51 = 2*j - 5*c - 172. What is the remainder when 83 is divided by j?
15
Let o = 4 - -21. What is the remainder when -2 + (-4 - -3) - -125 is divided by o?
22
Let s(v) = -17*v - 2. Let o(c) = c**3 - 9*c**2 + 2*c - 12. Let i be o(9). Let r = -7 + i. What is the remainder when s(r) is divided by 4?
3
Let o = -21 - -29. Suppose -o*r + 3*r = -255. Suppose -115 = -5*y - 5*f, -4*f + 51 = 2*y - f. Calculate the remainder when r is divided by y.
15
Calculate the remainder when (-7458)/(-396) - (-1 + (-10)/(-12)) is divided by 18.
1
Suppose 472*w = 427*w + 540. Let m = 238 + -121. What is the remainder when m is divided by w?
9
Let n be (-2)/6*-3 + -5. Let o = -30 + 34. Calculate the remainder when (0 - -3) + n/(-2) is divided by o.
1
Let g(b) = 2*b + 43. Calculate the remainder when 20/10*(-83)/(-2) is divided by g(0).
40
Let q(r) = -135*r - 1. Let n = -38 - -61