lculate the remainder when 9 is divided by w.
1
Suppose 4*a - 5 - 24 = -5*f, -2*a = -f - 25. Calculate the remainder when a is divided by 3/(4/((-32)/(-6))).
3
Let y(c) = c**2 + 6*c - 4. Let w be y(-8). Let m = w - -30. Let i = m + -18. What is the remainder when 71 is divided by i?
23
Let h(g) = -39*g - 138. Calculate the remainder when 28 is divided by h(-4).
10
Suppose -n = -f + 9, -n - 2*n = -5*f + 51. Calculate the remainder when 106 is divided by f.
10
Suppose -4*l = -l. Suppose 0 = -3*w - y + 212, -2*y + l*y - 80 = -w. What is the remainder when w is divided by (-10)/(11/(-55)*2)?
22
Suppose -267 = -5*j + 4*l, -2*j + 71 + 33 = -3*l. Calculate the remainder when 218 is divided by j.
53
Suppose -5*i = -59 - 101. Let w = -20 + 27. What is the remainder when i is divided by w?
4
What is the remainder when 107 is divided by 407/33 - (-3)/((-9)/4)?
8
Let b(w) = -12*w**2 - 4 - 1 + 5*w + 11*w**2. Let q be b(-5). Let k = q + 104. Calculate the remainder when k is divided by 13.
10
Suppose 3*l - 6*l - 6 = 0. Suppose -5*t = 4*f - 23, -2*f + 3*t = 15 - 54. Let u = l + f. What is the remainder when 58 is divided by u?
8
Let b be 75/125 - (-12)/5. Suppose -b*v + 24 = -33. What is the remainder when 56 is divided by v?
18
Let k = 21 + -25. Let u be k - (-5)/((-15)/(-12)). Let y(d) = -d**2 + 51. What is the remainder when y(u) is divided by 13?
12
Suppose 0 = -3*f + 6 + 30. Let t = -64 - -203. Suppose -2*l + l + s + 31 = 0, s - t = -4*l. What is the remainder when l is divided by f?
10
Let s = 1613 + -1547. Let a(c) = 3*c + 3. Calculate the remainder when s is divided by a(5).
12
Let t = -1340 - -2073. Calculate the remainder when t is divided by 32.
29
Suppose -4*n + 3*c + 0 = -61, -n + 5*c + 11 = 0. Calculate the remainder when 223 is divided by n.
15
Suppose -55 = -7*g + 2*g. Suppose -4*q - 3*h - 69 + 16 = 0, 3*h + g = -q. Let b = 4 - q. What is the remainder when 71 is divided by b?
17
Calculate the remainder when (5 - 196/10)/(2/(-10)) is divided by 49.
24
Let f = -1469 + 1522. What is the remainder when 1268 is divided by f?
49
Suppose -9*z = -16 - 29. Suppose -3*k = -2*h - 56, 0*h - 3*h - 92 = -z*k. Calculate the remainder when 91 is divided by k.
11
Suppose -15 = -2*f + 113. Suppose 14*s + 153 = 23*s. Calculate the remainder when f is divided by s.
13
Suppose -4*j - j + 326 = 3*f, j + 98 = f. Calculate the remainder when 201 is divided by f.
99
Let r(l) = l**3 - 10*l**2 + 9*l + 5. Let g be r(9). Suppose 0 = -3*i + g*h - 2*h + 60, h + 43 = 2*i. What is the remainder when i is divided by 14?
9
Let s(d) = -d**2 + 8*d - 12. Let u be s(5). Suppose 5*a - 316 = u*g, -318 = 4*a - 9*a + 4*g. Calculate the remainder when a is divided by 16.
14
Let q be -11 - 1 - 2 - 1. Let x(g) = g**2 + 8*g - 28. Calculate the remainder when x(q) is divided by 17.
9
Let b be 26/28*2 - 6/(-42). Suppose 88 = b*m - 74. Calculate the remainder when m is divided by 41.
40
Suppose 2*o = 7*o + 115. Let s = o + 33. Suppose 3*m + 18 = f, s = f + 2*m - m. Calculate the remainder when 22 is divided by f.
10
Let i(m) = -9*m**2 - 245*m + 83. Calculate the remainder when i(-27) is divided by (-4)/(-2) + 0 + 21.
22
Let c = -136 + 151. Calculate the remainder when c + 2 - (8 + -4) is divided by 7.
6
Let d = 980 + -888. What is the remainder when d is divided by 44?
4
Let h(q) = q**2 - 16*q + 63. Calculate the remainder when 26 is divided by h(11).
2
Let y be 3/12 - 45/(-12). Suppose 0 = 5*z - y*v - 4, -3*z + 4*v - 3 = 1. Let f(i) = -i**2 + 7*i - 6. Calculate the remainder when f(4) is divided by z.
2
Suppose 145 = 3*t + 112. What is the remainder when 101 is divided by t?
2
Suppose -3*x + 138 = 5*q, -x = -3*q + 6*q - 82. What is the remainder when 57 is divided by q?
3
Calculate the remainder when 36 is divided by (-1)/((-76)/8) + (-262)/(-38).
1
Suppose -4*r + 5*d + 25 = 0, 4*r + 5 = 4*d + 29. Suppose -6*z + r*z - 9 = 0. Calculate the remainder when 2/3 - 264/z is divided by 11.
8
Suppose 2*o + 7 - 27 = 0. Suppose 4*d + 51 = 3*g + o, 5*g + d = 53. Let m(v) = 2*v**3 - 18*v**2 + 2*v + 13. Calculate the remainder when m(9) is divided by g.
9
Let w be (2/4)/(17/204). Suppose x - 434 = -w*x. What is the remainder when x is divided by 16?
14
Let t be 3/2*(-56)/(-21). Suppose -z = -2, -t*f + z + 66 = 2*z. Calculate the remainder when f is divided by 5.
1
Suppose 186 = 57*j + 5*j. What is the remainder when 150 is divided by j?
0
Let o(b) = -3*b - 6. Let u(s) = -3*s - 5. Let d(w) = 3*o(w) - 4*u(w). Let r be (-52)/(-8) + (-3)/2. Calculate the remainder when 32 is divided by d(r).
15
Let u(n) = -32*n - 70. Calculate the remainder when u(-4) is divided by 12.
10
Let i = 48 + -28. Suppose 17*f = -31*f + 1728. What is the remainder when f is divided by i?
16
Let l = 252 - 5. Suppose 2*a + 11*a = l. What is the remainder when 73 is divided by a?
16
Suppose 133*f = 63*f + 17360. Calculate the remainder when f is divided by 15.
8
Suppose 7*n - 448 = -140. Let b = 58 - n. What is the remainder when 26 is divided by b?
12
Let n(g) = -7*g + 12. Let d be n(5). Let l(c) = -c**2 - 25*c - 6. What is the remainder when 116 is divided by l(d)?
36
Suppose -5*z + 225 = 5*k, 4*k - 46 = -2*z + 42. Let d = -534 + 559. Calculate the remainder when z is divided by d.
21
Let u(b) = 5*b**2 + 9*b + 10. Let w be u(-13). Suppose -3*a = 6*a - w. Calculate the remainder when a is divided by 21.
19
Let u(y) = -y - 4. Let a(h) = -h**3 + 5*h**2 + 7*h - 1. Calculate the remainder when a(6) is divided by u(-6).
1
Let a = -14 - -17. Suppose a*f + 27 = 81. Calculate the remainder when f is divided by 5.
3
Suppose 8*r = -106 + 122. Calculate the remainder when 6 is divided by r.
0
What is the remainder when 6 + (-5)/((-20)/356) is divided by 20?
15
Suppose -32 - 3 = -5*q. Let i = q + -5. What is the remainder when (-2)/(8/(-12))*5/5 is divided by i?
1
Suppose 6*c + 7*c - 1157 = 0. Suppose -k + 7 = -4*y, 2*k + y + 2*y = 58. Calculate the remainder when c is divided by k.
20
Let f(o) = 4*o**2 - o - 17. Let u be f(-5). Let k = -75 + u. What is the remainder when 1 - (-1)/((-3)/(-144)) is divided by k?
10
What is the remainder when 141 is divided by -35*38/10*45/(-45)?
8
Suppose 4*f - 121 = 47. Let m be (7/(-3))/(-1)*f. What is the remainder when 22 is divided by (12/14)/(7/m)?
10
Let n(f) = 8*f**2 + 36*f - 10. What is the remainder when 86 is divided by n(-5)?
6
Suppose 2*n = 64 - 10. Let w = -3 - -17. Suppose -w*p + 11*p = -21. Calculate the remainder when n is divided by p.
6
Suppose -3*o + 40 - 10 = 0. Suppose 0 = v + o - 21. Calculate the remainder when 51 is divided by v.
7
Let r(t) be the third derivative of t**5/60 - t**4/12 - 5*t**3/6 + 23*t**2. Calculate the remainder when r(-7) is divided by 10.
8
Let t be ((-60)/45)/(244/246 - 1). Let x = -86 + t. Calculate the remainder when x is divided by 20.
18
Let a = 5275 + -5274. Let x(j) = j**2 - 3*j + 1. Calculate the remainder when x(3) is divided by a.
0
Let h = 32 + -5. Calculate the remainder when h is divided by (-273)/(-27) + 5/(-18)*(-70)/(-175).
7
Let w(v) = 14*v - 18. Calculate the remainder when 310 is divided by w(5).
50
Suppose 3*d = 3*v - d - 46, -32 = -2*v + 4*d. What is the remainder when v is divided by (-1 - -1 - -3)/(-124 + 125)?
2
Let f be 48/28 - 4/(-14). Suppose -7*n + f*n + 2*k = -72, 1 = -k. Suppose c + 4 = 0, 0*t + t = 2*c + n. What is the remainder when 10 is divided by t?
4
Suppose 96 = -36*u + 38*u. Calculate the remainder when u is divided by 30.
18
Let k(c) = 4*c**3 - 2*c**2 + c - 4. Let n be k(4). Suppose -9*o + 13*o = n. What is the remainder when o is divided by 20?
16
Let w(h) = -h**3 - 22*h**2 - 25*h - 72. Calculate the remainder when 46 is divided by w(-21).
10
Let m = -57 - -63. Let u(z) be the second derivative of z**4/6 - z**3 + 9*z**2/2 + 3*z. Calculate the remainder when u(m) is divided by 16.
13
Suppose 0 = 2*i - 49 - 11. Suppose -42 - i = -4*t. Suppose 0*v - 2*v + t = 0. What is the remainder when 17 is divided by v?
8
Suppose -h + 5*w = -61, 2*h + 17*w - 148 = 14*w. Suppose -3*c + 180 - 30 = 0. What is the remainder when c is divided by 3/(-4) + h/4?
16
Let p(g) = -g**3 + 8*g**2 + 6*g + 26. Calculate the remainder when 286 is divided by p(8).
64
Let l be 24/10*(-40)/(-6). Let u = 20 - l. Suppose -117 = u*g - 7*g. What is the remainder