56 = -21*b + 17*b. Suppose 236 + b = 5*h. Calculate the remainder when h is divided by 18.
14
Suppose -445 = -2*t - c, 6*t - 9*t = -3*c - 663. Suppose 2*m = 2*h - 242, 2*h + 0*h + 3*m = t. What is the remainder when h is divided by 17?
15
Let i(s) be the third derivative of -s**4/6 + 61*s**3/6 - 12*s**2 - 6*s. What is the remainder when 64 is divided by i(8)?
6
Suppose 0 = l + 2*s - 22 - 1, s = 5*s. Suppose -3*h - 65 + 611 = 0. What is the remainder when h is divided by l?
21
Calculate the remainder when 12983 is divided by ((-3)/(-12)*-1)/(21 + (-866403)/41256).
377
Suppose -57*r + 4 = -53*r, -5*r - 592 = -3*v. Calculate the remainder when v is divided by 13.
4
What is the remainder when 4340 is divided by -2 + -1 + -6 + 273/3 + -3?
74
Let d = -522 - -372. Let h = 156 + d. What is the remainder when 10 is divided by h?
4
Let y = 17847 + -17747. Calculate the remainder when y is divided by 5.
0
Suppose -5*a + 2*r + 2*r + 19 = 0, 2*a - 5*r = 11. Suppose -4*u - 3*s - 6 = -20, a*s + 1 = -u. What is the remainder when 69 is divided by u?
4
Let n(m) = 40*m + 404. What is the remainder when n(54) is divided by 23?
11
Let u(o) = o + 2. Let n(t) = -13*t + 8. Let g(w) = -n(w) - u(w). Calculate the remainder when 48 is divided by g(3).
22
Suppose 0 = 5*w + 4*d - 159, -4*w - 2*d + 15 = -105. Calculate the remainder when 1429 is divided by w.
25
Let x(u) = u**2 + 31*u - 42. Let g be (2 - (-2 + 24)) + -2. Let f be x(g). Let c = -143 - f. Calculate the remainder when c is divided by 25.
22
Suppose 0 = 912*q - 904*q - 1768. Let v = q - 151. What is the remainder when v is divided by 28?
14
What is the remainder when (((-55260)/81)/5)/(6/(-27)) is divided by 154?
152
Let b = 189 - 88. Let j = -79 + b. What is the remainder when 86 is divided by j?
20
Suppose 531 = 8*k - 981. Suppose -28*n + k = -27*n. Calculate the remainder when n is divided by 16.
13
Suppose 0 = -4*a + 5*a - 12. Let y(r) = -r**3 - 83*r**2 + 334*r - 1135. What is the remainder when y(-87) is divided by a?
11
Let s(m) = -332*m + 197. What is the remainder when s(-1) is divided by 10?
9
Suppose -18 = -5*x + 8*x. Let h(p) = -5*p - 7. What is the remainder when 138 + (-1)/(1 + 1/(-2)) is divided by h(x)?
21
Let g(n) = -6*n**2 + 114*n - 85. Calculate the remainder when 393 - -4*3/(-4) is divided by g(18).
22
Suppose -15*b - 932 + 1082 = 0. Calculate the remainder when 23 is divided by b.
3
Let m(q) = -2*q**2 + 27*q - 53. Let i be m(11). Suppose 3*r - 5*d = -2*d + 345, 3*d - 225 = -i*r. Calculate the remainder when r is divided by 40.
34
Let n = 111 + -109. Let w be -1*1/n*4. Calculate the remainder when 53 is divided by (3 - w)*57/15 + -1.
17
Let v(t) = t**3 - 8*t**2 - 21*t - 33. Let g(f) = -1. Let u(i) = 4*g(i) - v(i). Calculate the remainder when 738 is divided by u(10).
36
Let n = 251 + -352. Suppose 4*b + 65 = 5*r, -10 = 6*b - 4*b + 2*r. Calculate the remainder when 5/b*n + (-2)/(-4) is divided by 27.
24
What is the remainder when (-1272)/(-10)*(-85)/(-34) is divided by 135?
48
Let t(s) = -65*s + 22. Let k be t(4). Let l = k - -253. Calculate the remainder when 104 is divided by l.
14
Suppose -3*u + 6 = 4*i - 2, 4*u - i = -2. Suppose u - 15 = -t - 5*k, 2*k + 42 = 2*t. What is the remainder when 95 is divided by t?
15
Let l = 54 - 59. Let z(c) = -22*c - 40. Suppose -4*h + 3*f + 64 = -f, -f + 2 = 0. What is the remainder when z(l) is divided by h?
16
Let o(m) = m**2 - 2*m + 22. Let t be o(-11). Suppose -3*p + 354 = t. Calculate the remainder when p is divided by 13.
11
Let a = -4924 + 3340. What is the remainder when 125 is divided by (a/5)/(-8) + (-3)/5?
8
Calculate the remainder when 939 is divided by (9/4)/(192/512).
3
Suppose 0 = -4*i - 5*h + 542, -4*h = 2*i + 3*i - 673. Calculate the remainder when 3455 is divided by i.
130
What is the remainder when ((-25)/10)/((-18)/4572) is divided by 92?
83
Let a = -972 + 982. Let r be ((-6)/9)/(2/(-18)). Let x = a + r. What is the remainder when 29 is divided by x?
13
Calculate the remainder when 3482 is divided by 22 + (15 - 28) + 5.
10
Suppose -149606 + 407491 + 282326 = 229*y. What is the remainder when y is divided by 43?
37
What is the remainder when -6*((-117)/(-156) + 8876/(-16)) is divided by 33?
24
Suppose -22*c + 20*c + 144 = 0. Suppose -10*k - c = -502. Calculate the remainder when k is divided by 13.
4
Let g(x) = 13*x**2 + 1. What is the remainder when 130 - (44 + -65 - -14) is divided by g(2)?
31
Suppose 3*l - 271 = s - 3, -l - s = -96. What is the remainder when l is divided by ((-14)/(-2))/((-54)/(-88) - (-56)/(-154))?
7
Let z(a) = 48*a**2 - 8*a - 34. Let o be ((-90)/27)/(-5)*(-18)/4. What is the remainder when z(o) is divided by 53?
51
Suppose -411*u + 238 = -193*u - 201*u. Calculate the remainder when 441 is divided by u.
7
Suppose 193*t + 177*t - 214305 = -85*t. What is the remainder when 1419 is divided by t?
6
Let l(u) = 6*u**3 - 3*u**2 - 15*u + 17. Calculate the remainder when 2174 is divided by l(1).
4
Let p(i) = -3*i**3 + 1. Let f be p(-4). Suppose -10*a + 167 = -f. Suppose n = 4*n - a. What is the remainder when 47 is divided by n?
11
Let g = -3998 - -4127. What is the remainder when 237 is divided by g?
108
Suppose -25*f + 1534 = -20*f + 4*d, -3*f - d + 912 = 0. Calculate the remainder when f is divided by 76.
74
Let j = 3898 - -806. Calculate the remainder when j is divided by 13.
11
Let m(a) = -340*a - 6227. Calculate the remainder when m(-22) is divided by 75.
53
Let w(q) = 7 - 2*q**2 + 3*q**2 - 6 - 32. Let m be w(13). Calculate the remainder when 61 is divided by m/9 + 6/9.
13
Suppose 33512 = 50*u + 4962. Suppose 48*k = u + 53. What is the remainder when 140 is divided by k?
10
Suppose -k - 4 = 0, 12*w = 16*w + 4*k + 12. What is the remainder when 162 is divided by w?
0
Suppose -v + 96*f + 102 = 98*f, -5*f + 25 = 0. Calculate the remainder when 96 is divided by v.
4
Suppose 0 = 12*q - 645 - 99. Suppose -2*v + 398 = -s, 0 = 13*s - 9*s - 8. What is the remainder when v is divided by q?
14
Let o = 5 - 65. Suppose 5*a + 0*a + 15 = 0. Calculate the remainder when 61 is divided by (a/4)/(o/1040).
9
Suppose 3*o + 20*o - 54480 = 8*o. Calculate the remainder when o is divided by 46.
44
Suppose -10 = 6*g + 2. Calculate the remainder when (-205 + -2)*g*8/48 is divided by 7.
6
Calculate the remainder when (-1404)/(-65)*350/20 is divided by 191.
187
Let z(m) = m**2 + 160*m + 5481. Calculate the remainder when z(-46) is divided by 103.
31
Let t = -301 - -789. Suppose -4*n + 4*z + t = -0*n, -2*z + 376 = 3*n. Calculate the remainder when n is divided by 26.
20
What is the remainder when 158 is divided by 188/235 - (-783)/15?
52
Let m(t) = -t**2 - 18*t + 31. Let o be m(-20). What is the remainder when 9 is divided by o + 17 + 2/(-1)?
3
Let p(t) = -3*t - 58. Let k be p(-21). Suppose h = 4*j - 221, -9*h - 20 = -k*h. What is the remainder when 266 is divided by j?
50
Suppose 0 = -5*y + 25, -5*d - 33*y + 32*y = -1350. Calculate the remainder when d is divided by (-27)/(-15)*(-130)/(-39).
5
Suppose 23354 = 36*a + 22994. Let w = 48 - -44. Suppose -4*n - w = -4*k, -4*k = -3*n + 44 - 140. What is the remainder when k is divided by a?
7
Let p = -102 - -127. Suppose -26*k + 22 = -p*k - 3*d, 4*d = -3*k + 53. Calculate the remainder when 91 is divided by k.
15
Let s(i) = 3*i**3 - 4*i**2 + 3*i - 2. Let f be s(2). Suppose 11*r - 78 = -f. What is the remainder when r is divided by 8/84*24 - (-2)/(-7)?
0
Let g = -173 - -168. Suppose -43 = -x - 16. What is the remainder when x is divided by ((-4)/(-3))/(g - (-141)/27)?
3
Let d = 13561 - 12504. What is the remainder when d is divided by 259?
21
Let l = 1391 - 1277. Let v be 7 + 1 + -4 + 3. What is the remainder when l is divided by 205/v + (-2)/7?
27
Suppose -3*z + 5*w = -2*z + 249, 2*w - 682 = 3*z. What is the remainder when -8 + 11 - z/2 is divided by 15?
10
Suppose 0 = -22*s - 58*s + 8320. Suppose -5*c + 0*c = 10, 4*l - 118 = 5*c. What is the remainder when s is divided by l?
23
Let d(b) = -5*b - 4. Let c be d(-3). Suppose 14*k = c*k + 276. Suppose k = -5*a + 562. What is the remainder when a is divided by 12?
10
Let k(f) = 93*f - 2545. Calculate the remainder when 4482 is divided by k(28).
57
Let o(m) = 2*m + 2. Let p = -78 - -84. What is the remainder when (-1)/(-3) - 146/(-3) is divided by o(p)?
