17.
2
Let b be 2/9 - (34608/(-108))/(-2). Let k = -127 - b. Calculate the remainder when 55 is divided by k.
22
Suppose -191*r + 164 = 4*z - 194*r, 3*z + 2*r - 106 = 0. Suppose 399 + 113 = 8*u. Calculate the remainder when u is divided by z.
26
What is the remainder when (455/(-20) - -2)/(10/(-40)) is divided by (-7 - (-2 + 0))/(-1)?
3
Suppose 1560*p = 1556*p - 7*l - 21, 2*p + 3*l = -7. What is the remainder when 941 is divided by p?
3
Let s(p) = 2*p**3 - 91*p**2 - 234*p - 181. Calculate the remainder when 205 is divided by s(48).
98
Suppose 484 - 307 = a. Let n = -110 - -133. What is the remainder when a is divided by n?
16
Let j(x) = -x**3 + 37*x**2 - 83*x + 87. Calculate the remainder when j(34) is divided by 358.
17
Let k(g) = 4*g**2 - 3*g - 27. Let r be k(-7). Let s = r + -181. What is the remainder when 16 is divided by s?
7
What is the remainder when 1/((-1)/6) - (-53 + -713) is divided by 203?
151
Suppose -305 = -2*a + 5*l, 7*l = 2*a - 20 - 287. Calculate the remainder when 913 is divided by a.
13
Suppose 5*g - 415 = -420. What is the remainder when 0/(-11) + (0 - g) + 507 is divided by 51?
49
Suppose 6*q - 2*q = 0. Suppose 0 = -i - 2*i + 96. Suppose -22*z + 18*z + i = q. What is the remainder when 29 is divided by z?
5
Let n = 3 - 1. Suppose -5*h = -6*t + 4*t + 2, -5*t = -h - 28. Calculate the remainder when (-2110)/(-30) - n/t is divided by 9.
7
Let o be 7/(-3)*27/(-9). Let w(x) = x**2 - x + 1. Let g = -101 - -227. What is the remainder when g is divided by w(o)?
40
What is the remainder when 440 is divided by 2058/56 + (-1)/(-4)?
33
Suppose -12*x - 476 = -2396. Let n = 174 - x. What is the remainder when 82 is divided by n?
12
Suppose 8*a - 268 = 1460. Let j be 1 + 350/(2/1). Suppose 0*g + 4*g - j = 0. What is the remainder when a is divided by g?
40
Let b = 1754 - 1739. What is the remainder when 175 is divided by b?
10
Let v(r) = 11*r**2 - 4*r + 6*r + 34 - 5*r - 31. What is the remainder when 103 is divided by v(-2)?
50
Suppose -78*y - 69 = -79*y. Let m = 93 - y. Calculate the remainder when 61 is divided by m.
13
Let r = -285 - -155. Let n = r - -138. Calculate the remainder when 10/5*(-3 + 9) is divided by n.
4
Let y(o) = -o**3 + o**2 + 2*o + 4. Let i be y(-2). Suppose 4*n - k = 5 - 21, -3*n - i = -3*k. What is the remainder when (n + 9/1)*23 is divided by 9?
7
Let l = -21 - -25. Suppose 3*d - w = -0*w + 26, 4*w + l = 2*d. What is the remainder when 326/12 - 11/66 is divided by d?
7
Suppose -73*y = -69*y - 5*z - 141, 0 = -2*y - 3*z + 65. Let q(k) = -k**3 - 5*k**2 - 4*k + 7. Calculate the remainder when q(-6) is divided by y.
33
Let i = 35635 - 34997. What is the remainder when i is divided by 10?
8
Let v = -7 + 31. Let w(k) = 26*k**2 - 24*k - 10. What is the remainder when w(-2) is divided by v?
22
Suppose 8*m - 1430 = 3*m. Suppose -1363*v + 17386 + 22141 = 0. What is the remainder when m is divided by v?
25
Suppose 2*n - 433 = 3*u, -n + 0*u = 5*u - 184. Let a = n - 172. What is the remainder when a is divided by 26?
11
Calculate the remainder when ((-595)/(-245))/(4/224) is divided by 15.
1
Let y = 573 + 233. What is the remainder when y is divided by 101?
99
Let v(i) = 3*i**2 + 51*i + 704. Calculate the remainder when v(-12) is divided by 66.
62
Suppose 5*i = x + 15, 5*x - 13 = -3*i - 4. Let t(d) = 2260*d + 42967. What is the remainder when t(-19) is divided by i?
0
Suppose -35*t - 210 = -40*t. What is the remainder when 119 is divided by ((-70)/t)/(1/(-9))?
14
Let n be (3/6)/((-4)/8). Let g be 1 + (3 - (3 - n)). Suppose g = -4*c - 2*v + 36, 20 = 4*c - 3*v - 26. What is the remainder when c is divided by 4?
2
Let c be (1 + 2 + 2 - 2) + 0. Suppose 5*d - 86 = c*l + 284, -4*d + 313 = l. What is the remainder when d is divided by 26?
25
Let k(u) = -u**3 + 14*u**2 + 9*u + 15. Let p(c) = -c**3 + 12*c**2 - 18*c - 23. Let v be p(10). Let l = v + 17. What is the remainder when k(l) is divided by 36?
33
Suppose -3*b + 4*b = 2. Suppose 5*v = -b*g - 25, v + g + 0 = -5. Calculate the remainder when 693/15 - (-1)/v is divided by 12.
10
Let s be (0 + (-2)/4)*8. Suppose 69 + 71 = 14*g. Let x = s + g. What is the remainder when 21 is divided by x?
3
Suppose -3*x - 2*l + 14 - 52 = 0, -2*x - 3*l = 22. What is the remainder when 71 is divided by (2 + x/4)*(-12)/1?
17
Let w(z) = -3*z**2 - 14*z - 15. Let h(y) = -1. Let r(b) = -3*h(b) - w(b). What is the remainder when r(-5) is divided by (2 + -2)/(-2) - -9?
5
Let x = -34 - -53. Let p(r) = 3 + 48*r - x*r + 7. What is the remainder when p(2) is divided by 10?
8
Let a(p) = 94*p**2 - 8*p + 9. What is the remainder when 661 is divided by a(1)?
91
Let m(y) = 2*y + 8. Suppose 10*n - 11*n + 6 = 0. Let h be m(n). What is the remainder when 6/(-1*6/h)*-1 is divided by 8?
4
What is the remainder when (-214)/(-5)*(-5 + 10) is divided by (216/4)/(-89 - -91)?
25
Let v = 35422 - 35410. Let y(w) = 5*w - 10. What is the remainder when y(9) is divided by v?
11
What is the remainder when 1492 is divided by (22/4 - 4)/((-9)/(-996))?
164
Let c be (-4)/((-32)/(-24))*(-7)/(-3). Let r(x) = -30*x + 3. Calculate the remainder when r(c) is divided by 24.
21
Let o(a) = a**3 + 11*a**2 + 9*a + 5. Calculate the remainder when o(-7) is divided by (4/3)/(128/4512).
44
Suppose 43*m - 3166 = 3800. Suppose 0*v = -3*v + 33. Let i = m + v. Calculate the remainder when i is divided by 25.
23
Let v(y) = -27*y + 76. Let q be v(3). What is the remainder when 129 is divided by -8 + 46 + q + 1 + -1?
30
Suppose -2*z - 2*u + 7*u = -230, -3*z = -2*u - 334. Suppose 4*h = 2*h + z. Let i = 237 - 223. Calculate the remainder when h is divided by i.
13
Suppose v + 16*v - 119 = 0. Suppose 2*y = 2*u + 72, 2*u + v = -3*y - 65. Let m = 44 + u. Calculate the remainder when 31 is divided by m.
7
Suppose t + n + 54 = 5*t, -5*t - 4*n = -78. Suppose k = 35 + t. Calculate the remainder when k is divided by 11.
5
Suppose -5*a - 30 = 0, i + 4*a - 2073 = -0*i. What is the remainder when i is divided by 686?
39
Let n = 8012 + -8000. What is the remainder when 87 is divided by n?
3
Let z(p) be the second derivative of p**5/20 + 13*p**4/12 + 3*p**3/2 + 11*p**2 - 4*p. What is the remainder when 285 is divided by z(-12)?
53
Suppose 5 = -4*i + 5*g, 11*i - 12*i - 2*g + 15 = 0. Suppose h + 2*y - 81 = -i, -y + 269 = 4*h. What is the remainder when 73 is divided by h?
7
Let c(s) = 286*s + 369. Calculate the remainder when 567 is divided by c(-1).
69
Let n(p) = p**2 - 147*p + 5317. Suppose s + 3*s = -l + 79, 3*s = 3*l - 312. What is the remainder when l is divided by n(84)?
24
Suppose -5*s + d + 195 = 6*d, 5*s - 5*d - 225 = 0. Let f = s + -36. Suppose -2*z = 0, f*h = 2*h + 5*z + 72. What is the remainder when h is divided by 6?
0
Suppose 0*j + 82 = 2*j. Let n = -323 - -373. Suppose -5*d + n = 5*x, 5*d + 2*x = -27 + 74. Calculate the remainder when j is divided by d.
5
Let z = -9224 - -10624. What is the remainder when z is divided by 349?
4
Suppose p + j = 1, 3*p - 19 = -4*j - 21. Let m = p + 101. Calculate the remainder when m is divided by 11.
8
Let p be -2 + -3 + -2 + 20/2. Suppose -p - 7 = -2*j. What is the remainder when j/(5/48) - -3 is divided by 11?
7
Let x = -137 + 119. What is the remainder when (108 - 0)*(-12)/x is divided by 7?
2
Suppose 106*p + 537*p = 711158. Calculate the remainder when p is divided by 222.
218
Suppose -5*y - d = -435, -2*y - 67*d + 147 = -72*d. What is the remainder when 1973 is divided by y?
81
Let c(f) = -134*f - 626. Calculate the remainder when c(-5) is divided by 2.
0
Suppose 0 = 5*p + 11*o - 1263, -734 = -5*p + 5*o + 641. Calculate the remainder when p is divided by 259.
9
Let r(k) = k**2 - 3*k - 44. Let g be r(6). Calculate the remainder when (-3116)/g - 30/(-195) is divided by 11.
10
Let s be (-6)/(-4) + 15/(-2). Let g(q) = q**2 - q - 2. Calculate the remainder when g(-5) is divided by ((-15)/2)/15*s.
1
Let b be (23/2)/((-1)/(-6)). Suppose -b - 35 = -4*f. What is the remainder when (4 + (-246)/(-15))*(6 + -1) is divided by f?
24
Let o be (-12)/(-6 - (-321)/54). Suppose -5*g + 108 = 2*k, -4*g = -4*k - 3*g + o. What is the remainder when 159 is divided by k?
51
Let o(m) = 18*m - 119. Let n(i) = i**3 + 9*i**2 - 9*i - 65. Let u be n(-9). What is the remainder when o(u) is divided by 17?
16
Suppose 3*k + 3*x + 24 + 21 = 0, 2*k + 30 