 by p?
0
Let n(g) = -4*g - 6. Let d be n(14). Let b = d + 65. What is the remainder when 34 is divided by b?
1
Let q(r) = 2*r + 2. Let o(j) = -13*j + 3. Let w(g) = 12*g - 2. Let a(y) = 5*o(y) + 6*w(y). What is the remainder when a(8) is divided by q(9)?
19
Suppose 5*a - 2824 = -3*p, 4*p - 11*a + 7*a - 3712 = 0. What is the remainder when p is divided by 72?
69
Suppose 3*l - 4*f - 38 = 0, -2*l + f = -0*f - 22. Suppose 13*g = l*g + 66. Calculate the remainder when g is divided by 5.
2
Let j = 331 - 295. What is the remainder when 159 is divided by j?
15
Let s = -12 + 24. Suppose s*x = 9*x + 243. Calculate the remainder when x is divided by 21.
18
Calculate the remainder when -13*(1 + (-69 - -3)) is divided by 94.
93
Let r be (3 - 2)*(3 + -12). Let s(q) = -q - 5. Calculate the remainder when 14 is divided by s(r).
2
Suppose -3*p + 5 = 2*p. Let i(w) = -w**2 + 27*w - 110. Let x be i(21). Let z = x - p. Calculate the remainder when 41 is divided by z.
11
Let t(f) = -2*f**3 - 2*f**2 + 9*f + 11. Calculate the remainder when 92 is divided by t(-3).
12
Let v = -999 - -699. Let l = v + 76. Let k = l + 331. Calculate the remainder when k is divided by 27.
26
Suppose -3*v - 7 = -o, 3*o = -6*v + 3*v - 15. Let n(h) = -h**3 - 3*h - 4. What is the remainder when 28 is divided by n(o)?
8
Suppose -137*q - 54 = -143*q. Calculate the remainder when 17 is divided by q.
8
Suppose 3*f + f = x - 8, 4*x = 5*f + 10. Suppose 4*d = 4, x = 5*g - d - 4*d + 5. Suppose g = 4*s - s - 87. What is the remainder when s is divided by 8?
5
Let a = -106 + 124. Calculate the remainder when 70 is divided by a.
16
Let l(u) = -u**3 - 2*u**2 + u - 4. Let m be l(-3). Calculate the remainder when 64 is divided by (-14)/49 - m/(28/(-186)).
12
Suppose -21 - 107 = -4*p. Suppose -36*o + 4*o + 2*o + 2730 = 0. What is the remainder when o is divided by p?
27
Let c be 1 + -2 - (-4 - -3). Suppose 2*u + 88 - 274 = c. What is the remainder when u is divided by 3/(2/80*(-15)/(-4))?
29
Let h(x) be the first derivative of x**2 + 3*x + 6. Let p be h(9). Suppose 4*w = -3*o + p, 0 = -2*o - 3*w + 15. Calculate the remainder when 7 is divided by o.
1
Suppose -8 = -2*s - 2*s + 3*a, -4*a + 6 = -2*s. Suppose 10 = s*v, -i + v + 5 = -2*v. Let r(l) = -3*l + 4. What is the remainder when r(-5) is divided by i?
8
Let b be 1 - (-187)/(1 + 0). Let d = -118 + b. What is the remainder when (d/21)/(2/3) is divided by 4?
1
Calculate the remainder when 55 is divided by ((-3)/8)/((-71)/3976).
13
Let l(z) = -z**3 - 13*z**2 + 8*z - 48. What is the remainder when l(-15) is divided by 26?
22
Let i(f) = -2*f - 9. Let y be i(-8). Let r = y + 6. What is the remainder when (-16)/12 - 148/(-3) is divided by r?
9
Let i = -8 + 13. Calculate the remainder when (1 + 1)*-55*2/(-20) is divided by i.
1
Let q(t) = 2*t**2 - 48*t - 24. Let g be (-2)/(-4)*(10 + 6). Let n = 17 - g. What is the remainder when q(25) is divided by n?
8
Let p be (((-42)/(-5))/((-21)/(-70)))/1. Suppose -35*z + p*z = -77. Calculate the remainder when 42 is divided by z.
9
Calculate the remainder when (-75 + 5)/(-7) - -45 is divided by 16.
7
Let x = -12 + 8. Suppose 5*p = 4*t + 58, 0 = -0*p + p + 5*t. What is the remainder when 14 is divided by 3 - 5/(p/x)?
4
Suppose -3*h + 26 = -4*w - 9, -2*h + 25 = -3*w. Calculate the remainder when 38 is divided by (-15)/w - 6*-3.
17
Let i(x) = x**3 - 12*x**2 + 2. Let n be i(12). Suppose -18 = -n*z - 0*z. Calculate the remainder when 71 is divided by z.
8
Suppose 70 - 22 = 3*s. What is the remainder when s is divided by 2?
0
Suppose -1100 = -5*q - 17*q. What is the remainder when 146 is divided by q?
46
Let d = -28 - -32. Suppose y - 2*y = -5*g - 41, 0 = -5*y + d*g + 268. What is the remainder when y is divided by 29?
27
Let x be -2*(-2 + (-9)/(-6)). What is the remainder when x*(-2)/(-4)*6*32 is divided by 33?
30
Let n(s) = -s**2 + 9*s - 2. Let i be n(9). Let h(y) = -y**2 - 2*y - 2. Let k be h(i). What is the remainder when 27 is divided by 8 - (3 - (k - -7))?
7
Suppose -2*n = -5*z - 56, 5*z - 3*z = 2*n - 44. Let t(s) = 68*s + 1. Suppose g + 0*g - 6 = 5*i, 4*i = -2*g - 2. What is the remainder when t(g) is divided by n?
15
Let f be (-1 + 1 + 1)*7. Let q = f - 3. Calculate the remainder when q/8*(-1 + 45) is divided by 8.
6
Let o(h) = h**2 + 2*h + 11. Calculate the remainder when 206 is divided by o(-4).
16
Suppose -18*q + 3*q + 120 = 0. What is the remainder when q is divided by 3?
2
Suppose x - 1 = 6. Let g be 178/26 + 6/39. What is the remainder when ((-930)/g)/(-5) - (-6)/14 is divided by x?
6
Let p(l) = 40*l + 2. Let m be p(6). Suppose 3*h - m + 23 = 0. What is the remainder when h is divided by 0 - (1 - 0)*-19?
16
Suppose -5*z + 129 = -2*v + 22, -4*v = z - 39. Calculate the remainder when 550 is divided by z.
21
Suppose 3*v - 2 = 2*v. What is the remainder when 25 is divided by 123/9 + v/6?
11
Suppose -2*n = 4*k - 0*k - 34, 2*n = 4*k - 38. Let y(s) = -s**3 + 10*s**2 + 5*s. What is the remainder when y(k) is divided by ((-14)/(-1))/(-70) - (-161)/5?
30
Let c(t) = t**3 - 13*t**2 - 11*t + 24. Let r be c(11). Let u = r + 508. Calculate the remainder when u is divided by 34.
33
Let a be (42/(-18))/((-3)/117). Let y = a + -77. What is the remainder when 40 is divided by y?
12
Let d(t) = -2*t + 20. Let i be d(10). Suppose v + 2*v - 222 = i. What is the remainder when v is divided by 26?
22
Let y = 118 - 62. Calculate the remainder when 58 is divided by y.
2
Suppose 4*i - 197 = x - 0*x, -3*i = -x - 149. Let t = i - 28. Let c = t + 12. What is the remainder when c is divided by 11?
10
Suppose 4 = -4*w + 4*v, 0 = w + 4*w + 4*v - 40. Let u = 777 - 747. What is the remainder when u is divided by w?
2
Let d(q) = q**3 + 9*q**2 + 11*q + 6. Let i be d(-8). Let t = 10 - i. Calculate the remainder when 110 is divided by t.
26
Suppose -4*i - 140 = -0*x - x, -3*x - 140 = 4*i. Let v = 82 + i. What is the remainder when v is divided by 26?
21
Suppose -13*x + 12*x + 10 = 0. Suppose 0 = -2*z + x + 88. Calculate the remainder when z is divided by 26.
23
Let n(f) = -2*f**2 + 31*f - 42. Let d(u) = -3*u - 4. What is the remainder when n(13) is divided by d(-4)?
7
Let w be (-5)/(-3 + (-141)/(-48)). Let g(u) = u**3 + 4*u**2 - u - 4. Let h be g(-4). Suppose h*q - w = -5*q. Calculate the remainder when q is divided by 6.
4
What is the remainder when 106 is divided by 10 - (-273)/6 - (-2)/(-4)?
51
Suppose 54*f - 53*f = 25. Calculate the remainder when 172 is divided by f.
22
Suppose -y + 2*b - 2 = -8, 4*y = -5*b + 11. Let q be (3 - 1) + (-112)/8. Let p = q + 23. What is the remainder when p is divided by y?
3
Let u(k) = 11*k**2 + 3*k + 6. Let o be u(-3). Suppose -2*q - 2*q = -o. Let v = 21 + -8. What is the remainder when q is divided by v?
11
Suppose 19 = 18*c - 161. Let j(q) be the second derivative of -q**5/20 + 11*q**4/12 - 7*q**3/6 + 2*q. What is the remainder when 88 is divided by j(c)?
28
Suppose 10*z = -6*z + 176. Calculate the remainder when 85 is divided by z.
8
Let d = -22 + 24. Let m be 4 + 1 - 8/d. What is the remainder when 38 is divided by 6/m*(-40)/(-24)?
8
Suppose z = 4*z - 33. Calculate the remainder when z is divided by ((-160)/(-14))/5 + (-4)/14.
1
Let u(a) = -4*a - 24. Let g be u(-18). Suppose -3*n - 2*n = -4*l - 123, -g = -2*n + 2*l. What is the remainder when n is divided by 6/15 + 68/5?
13
Suppose -11*z + z = 750. Let i = z - -80. Calculate the remainder when 11 is divided by i.
1
Let y(x) be the first derivative of x**3 + 2*x**2 - 8*x - 12. Calculate the remainder when y(5) is divided by 22.
21
Suppose 579*x = 588*x - 3843. Calculate the remainder when x is divided by 35.
7
Suppose 177*i = 186*i - 3429. Calculate the remainder when i is divided by 29.
4
Let q(a) = -9*a**2 - 110*a + 22. What is the remainder when q(-12) is divided by 17?
12
Suppose -557 = -v + 3*y, -1007 - 1193 = -4*v + 5*y. What is the remainder when v is divided by 42?
41
Let m be (-100 - 0) + -1 + -3. Let q = -60 - m. Suppose -4*v + 52 = 3*o, q = 5*o + v - 54. Calculate the remainder when o is divided by 11.
9
Suppose 51 = 22*d - 257. What is the remainder when 456 is divided by d?
8
Let p(h) = 5*h + 51. Let q be p(11). Suppose 9*i = q + 254. Calculate the remainder when i is divided by 15.
10
Suppose -14*y + 1217 + 1289 = 0. Calculate the remainder when y is