ppose -z*k = 4*u - 52, 4*u - 14 = 6. Calculate the remainder when 46 is divided by k.
14
Let d(f) = f**3 + 7*f**2 - 6*f - 3. Let o be d(-7). Suppose o = -3*a + 69. What is the remainder when 15 is divided by a?
5
Suppose -5 + 1 = 4*u. Suppose -2*y + 10 = 0, 0*i = 3*i + 5*y - 142. What is the remainder when i is divided by ((-64)/(-160))/(u/(-50)*2)?
9
Let t(i) = -7*i + 3*i + i + 2*i. Suppose 4*l + 136 = 2*o, -2*o + 118 = 2*l - 0. Calculate the remainder when o is divided by t(-21).
20
Let v(f) = -f + 3. Let q(i) = -23*i + 175. Calculate the remainder when q(7) is divided by v(0).
2
Let p be 0/(3/(1/1)). Suppose -36 = -3*v - p. Calculate the remainder when v is divided by 7.
5
Let s(u) be the third derivative of 3/4*u**4 + 9*u**2 + 0 + 0*u - 7/6*u**3 - 1/60*u**5. Calculate the remainder when s(14) is divided by 17.
15
Let i be ((-22)/(-5))/((-4)/(-10)). Suppose 11 = l - 4*t, l + 3*t = t + i. What is the remainder when -4*15*(-3)/6 is divided by l?
8
Suppose -3*n - 6 = 3*q, 0 = -3*q + 4*n - 48 + 14. Let u = q + 14. What is the remainder when 46 is divided by u?
6
Suppose -c - f + 7 = 3, -c + 24 = -4*f. Let s be 102/(-2)*2/(-3). Suppose -t - s = -40. What is the remainder when c is divided by t?
2
Calculate the remainder when 30 is divided by (-1 - -3)/(3/6).
2
Let r(g) = 10*g + 1. What is the remainder when -138 + 136 - (-33 - 0) is divided by r(1)?
9
Let n = 61 + -42. Let v be 1/2*(-27 + 5). Let x(q) = q**3 + 11*q**2 - 6*q + 8. Calculate the remainder when x(v) is divided by n.
17
Let m(v) = 2*v**2 + 7*v + 6. Suppose -4 - 16 = 4*l. What is the remainder when m(l) is divided by 11?
10
Let m(p) = -11*p - 1. Suppose -2*s - 2*d + 68 = 0, 12 = d + 2*d. Suppose y = -3*f + 23 + 8, 2*f = 2*y - s. Calculate the remainder when m(-5) is divided by y.
16
Suppose -10*t + 4*t - 594 = 0. What is the remainder when 99 is divided by t/(-2) - (-21)/42?
49
Let f = -1839 + 1887. What is the remainder when 177 is divided by f?
33
Let q = 374 - 343. What is the remainder when 40 is divided by q?
9
Let z(v) = 35*v**2 - 5. Let x be z(4). Suppose -5*b = 195 - x. Calculate the remainder when b is divided by 25.
22
Suppose 0 = -14*v + 353 + 11. What is the remainder when v is divided by 25?
1
Let k = 82 + -5. What is the remainder when k is divided by 12?
5
Let o(z) = z**2 - 4*z. Let k be o(4). Suppose 3*b - 4*b + 15 = k. What is the remainder when b is divided by 8?
7
Let n(u) = -u + 1. Let q(x) = 10*x + 10. Let h(z) = -2*n(z) - q(z). What is the remainder when 6 + (-1 - -6) + -3 is divided by h(-2)?
0
What is the remainder when (1 - 30/35)/(7/17101) is divided by 79?
33
Let x = -1324 + 1464. Calculate the remainder when x is divided by 52.
36
Let a be 3 + (6 - 1) - 3. Suppose 3*w + w - 3 = a*s, -s + 3*w = 5. What is the remainder when 3 is divided by s?
0
Let f = -3642 - -3730. Calculate the remainder when f is divided by -5*((-2)/2 - 5).
28
Let t(q) = -q**3 + 4*q**2 + 2*q - 5. Let a be t(4). Suppose 2*o = 4*o - a*b - 43, 0 = -2*o + 2*b + 44. What is the remainder when o is divided by 6?
5
Let r(s) = 2*s**2 + 8*s - 23. Calculate the remainder when r(8) is divided by 43.
40
Suppose -3*l = -l - 38. Suppose -17*c + l*c - 114 = 0. What is the remainder when c is divided by (-8 - 1)/((-3)/4)?
9
Suppose -3*h = 4 - 1, 0 = -z + 4*h + 10. Calculate the remainder when 20 is divided by z.
2
Suppose 5*i + 54 = 9. Let a(u) = -u**3 - 8*u**2 + 3*u - 28. What is the remainder when 76 is divided by a(i)?
24
Let o(q) = 47*q**2 - 3*q + 3. Calculate the remainder when o(1) is divided by 12.
11
Suppose 5*n - 8*n + 108 = 0. Suppose -4*i + n = -100. Calculate the remainder when i is divided by 9.
7
Suppose 100 = 8*d - 12. Suppose 8*s - 214 = -d. What is the remainder when s is divided by 13?
12
Let j(k) = 2*k**2 + 5. Let f be j(0). Let t(y) = f*y + 3*y + 7*y + y**2 - 23. Calculate the remainder when t(-17) is divided by 7.
4
Suppose 5*c - 22 = -2, 0 = -4*b + 5*c - 2276. Let x = -302 - b. Calculate the remainder when x is divided by 53.
50
Suppose 74*k - 75*k - 1315 = -2*g, 5*g - 3280 = 5*k. What is the remainder when g is divided by 44?
43
Let l = 197 + -23. Calculate the remainder when l is divided by (2/35*7)/((-1)/(-55)).
20
Suppose -53 + 251 = 9*m. What is the remainder when 25 is divided by 8 + (-2)/(-9) + m/(-18)?
4
Suppose -11*k + 7*k + 68 = 0. What is the remainder when k is divided by (-2 + (-17)/2)/(6/(-4))?
3
Suppose 3*u = n + 11, -4*u + 32 = n + 2*n. Suppose u*f = 34 + 86. Suppose 4*a = f + 12. What is the remainder when 53 is divided by a?
8
Suppose -217 = -4*b + 175. Suppose 0 = -2*p - 3*j - 14, -j - 5 = p - 0*j. What is the remainder when b is divided by -2 - (-1 + p)/((-14)/(-154))?
18
Let s = -59 + 139. Suppose -x - s = -6*x. What is the remainder when 46 is divided by x?
14
Suppose 3*v - 2 = 7. Suppose -j = -v*f + 8, -2*j - 12 = -5*f - j. What is the remainder when 7 is divided by f?
1
Suppose 6*a - 2*a - 177 = -3*s, 2*s = -4*a + 182. What is the remainder when a is divided by 7?
6
Let m(q) = q**3 + 6*q**2 - 7*q + 16. Suppose 0 = 7*r - 16*r - 54. What is the remainder when m(r) is divided by 21?
16
Suppose 7 - 144 - 129 = -38*u. What is the remainder when u is divided by (-81)/(-12) + 2/8?
0
Suppose -2*t - 4*r + 3 + 9 = 0, 2*r = 4. What is the remainder when -1*2/4*-86 is divided by (-167)/(-11) - t/11?
13
Suppose 0 = 2*b - 3*u + 5*u - 72, 4*b - u - 169 = 0. Calculate the remainder when b is divided by 17.
7
Let r(q) be the third derivative of q**5/60 - 7*q**4/12 + 20*q**3/3 - 31*q**2. What is the remainder when 79 is divided by r(13)?
25
What is the remainder when (-80)/(-3) + 58/(-87) is divided by -5 - -3 - -12*1?
6
Suppose 3 = -j + 50. Let i(a) = -3*a**3 + 3*a**2 + 18*a + 27. Calculate the remainder when j is divided by i(-2).
20
Suppose 0*n - 5*s + 75 = 5*n, -3*s = -2*n + 15. What is the remainder when (9 + (-11 - -5))*14/(-21)*-71 is divided by n?
10
Suppose -3*i - s = -1 - 79, i - 4*s - 18 = 0. What is the remainder when i is divided by 21?
5
Let u(p) = -14*p + 0 + 16*p + 2. Let v = 46 - -33. What is the remainder when v is divided by u(9)?
19
Let m = -145 + 131. Let g = m - -30. What is the remainder when g is divided by 14?
2
Suppose 3 = -3*g - 3*c, 3*c + 7 = -2*g + g. Suppose -2*x = -j - 26, j = g*x + 3*x - 59. What is the remainder when 32 is divided by x?
10
Let d = 171 - 87. Let t = -61 + d. Suppose -5*x + 29 = 4. What is the remainder when t is divided by x?
3
Let v be 506/9 + 4/(-18). Suppose -d - 5 = 2*y - 21, -5*d + v = 2*y. Let t = 0 + 4. Calculate the remainder when d is divided by t.
2
Let y(h) = 5 + 7*h + 17 - 17*h + 6*h. Calculate the remainder when 40 is divided by y(2).
12
Let v = -276 - -320. Calculate the remainder when v is divided by 6.
2
Calculate the remainder when 45 is divided by ((-2)/10*0 + -2)*-12.
21
Let h(n) be the first derivative of 3*n**2/2 + 32*n - 30. What is the remainder when 12 is divided by h(-9)?
2
Let z be 2*14 - (1 - 1). Suppose 0 = q - 3*x - 24, -18 + 78 = 3*q - 3*x. What is the remainder when q is divided by 272/z - 4/(-14)?
8
Let p(y) = 3*y**3 + 2*y - 1. Let s(d) = -d**2 + 4*d - 2. Let u be s(2). What is the remainder when p(u) is divided by 7?
6
Let j be 14/12*-2*-3. Suppose -4*o = 3*d - 0*o, -5*o = 2*d + j. Let k(b) = 7*b**2 - 28*b + 28. What is the remainder when k(1) is divided by d?
3
Let h = 89 + -64. Suppose 2*o = -3*k - 8, -3*k - 5 = -5*o - h. Suppose -s - s + 52 = k. Calculate the remainder when s is divided by 15.
11
Let i = -69 + 131. Let q = 110 - i. Calculate the remainder when q is divided by 25.
23
Suppose 182 = -2*x + 44. Let d = -37 - x. What is the remainder when d is divided by 69/3 - 3 - 3?
15
Let d(m) = -361*m**3 + m**2 + 4*m + 2. Calculate the remainder when 1084 is divided by d(-1).
4
Suppose -2*x + 2*n + 731 = -119, -852 = -2*x + 3*n. Calculate the remainder when x is divided by 86.
79
What is the remainder when (72/7)/((-6)/(-28)) is divided by 13/(0 + (-1)/(-1))?
9
Suppose -3*h = -3*x - 57, -5*h - x - 32 + 127 = 0. Suppose 31 = f - 3*y, -3*f + 3*y + 49 = 5*y. What is the remainder when h is divided by f?
0
Let o = -31 + 23. Calculate the remainder when 12/(-9)*516/o - -2 is divided by 30.
28
Let m = -2100 - -2109. Suppose 0*g + 3*g = 36. Calculate the remainder when g is divided by m.
3
Suppo