 Calculate the remainder when 63 is divided by (-456)/o + 18/63.
19
Let b(n) = n**3 + 8*n**2 - 17*n + 31. Let t be b(-10). What is the remainder when (72/(-10)*(-20)/3)/t is divided by 3?
0
Let c(t) be the first derivative of 109*t**2/2 + 10*t - 1. What is the remainder when c(1) is divided by 41?
37
Let q(o) = 26 - 3*o**2 - 2*o**2 + 16*o - 2*o**2 + 6*o**2. What is the remainder when (-10)/15*(0 - 48) is divided by q(17)?
5
Let l = 4356 - 4179. Calculate the remainder when l is divided by 51.
24
Let t(f) = 5*f**3 - 6*f**2 - 3*f**3 - f**3 + 0*f**3 + 15*f + 1. Let m be t(4). Let u = 33 - m. What is the remainder when 21 is divided by u?
1
Let v = 55 - -58. Let p = v - 58. Calculate the remainder when 107 is divided by p.
52
Let g = -4 + 28. Suppose -7*o + 1073 = 415. What is the remainder when o is divided by -4*3/(-12)*g?
22
Suppose 115 - 25 = 5*s + 5*q, 3*q = 3*s - 42. What is the remainder when 4271 is divided by s?
15
Suppose 30 = 4*h - m, -5*m - 19 = -9. Suppose 85 = 2*q - 65. What is the remainder when q is divided by h*16/56 + (0 - -18)?
15
Let g be ((-12)/((-6)/2))/((-32)/64). What is the remainder when g - (-2 + -25 + 8) is divided by 10?
1
Suppose -28854 = -60*z + 42*z. Calculate the remainder when z is divided by 15.
13
Calculate the remainder when 161 is divided by 2/(-3) + 10664/129.
79
Let h be ((-2)/(-6) - 0) + (-322)/(-69). Suppose 927 = 4*i + g, -5*i + h*g + 1254 - 114 = 0. Let d = 369 - i. Calculate the remainder when d is divided by 47.
44
Suppose -37*y = -33*y - 40. Let u = y + 34. Calculate the remainder when u is divided by 9.
8
Let g(a) = 4*a**3 + 3*a**2 - 14*a + 57. Let k be g(6). Suppose -k = 56*n - 65*n. What is the remainder when n is divided by 27?
24
Let w be (9/18)/(3/84). Suppose w*d = 11*d + 39. What is the remainder when 217 is divided by d?
9
Let v = 9386 - 9375. Suppose -4 - 3 = -x. Suppose -w - x = -v. Calculate the remainder when 4 is divided by w.
0
Let j(a) = 17*a**2 - 12*a**2 - 18 - 19*a - 6*a**2. Calculate the remainder when 110 is divided by j(-17).
14
Let b = -5589 + 5644. Calculate the remainder when b is divided by 1/4 - (-75)/4.
17
Suppose 5*w = -4*x + 1440, -5*x = -2*x + 15. Suppose 0*q - 179 = -3*d - 5*q, -4*q - w = -4*d. What is the remainder when d is divided by 8?
4
Suppose -10*m + 11*m - 31 = 3*h, -3*m + 2*h + 86 = 0. Calculate the remainder when 206 is divided by (-5 - 68/(-12))*(m + -4).
14
Suppose 0 = 3*j - 5*f - 439, -j + 101 = -29*f + 33*f. Calculate the remainder when 208 is divided by j.
75
Let t = -39 + 41. Suppose t*y - 38 = -3*l + 17, -4*l = -4. What is the remainder when 103 is divided by y?
25
Suppose 5*o - 270 = a, 3*a = -45*o + 48*o - 150. What is the remainder when o is divided by 21?
13
Suppose -4278 - 6969 = -69*i. What is the remainder when i is divided by 35?
23
Suppose q + 4*w = 9, 0*q = q + 3*w - 8. Suppose 8*h - 378 = 3*h + 4*t, -q*t + 93 = h. Calculate the remainder when h is divided by 14.
8
Let u(l) = -9*l - 79. Let c be u(-9). Let m(d) = 5*d**2 + 2*d. Calculate the remainder when 140 is divided by m(c).
20
Calculate the remainder when ((-152)/(-20))/((-1608)/(-320) + -5) is divided by 58.
14
Let r = 14 - 12. Suppose -2*v + 11 + 45 = r*y, -y + 132 = 5*v. Suppose 19*z + 824 = 27*z. Calculate the remainder when z is divided by v.
25
Let q = -1603 - -1963. What is the remainder when q is divided by 46?
38
Let m(i) = i**2 + 28*i + 46. Let d = -263 + 235. What is the remainder when 596 is divided by m(d)?
44
Let u = -118 + 258. Suppose -u = -6*i - 38. What is the remainder when i is divided by 9?
8
Let s = -8103 - -8130. Let d(j) be the third derivative of -j**6/120 + 9*j**5/20 + 10*j**3/3 - j**2. What is the remainder when 55 is divided by d(s)?
15
Let g = 51 - 37. Let v = 151 - 126. What is the remainder when v is divided by g?
11
Let o(f) = -f**3 + 46*f**2 - 35*f - 237. Suppose q = -5*u - 30, -46 = 2*u + u - 5*q. Let a = 47 - u. Calculate the remainder when o(45) is divided by a.
51
Let w(d) = -d**3 - 118*d**2 + 241*d + 410. Let k(x) = -11*x - 15. What is the remainder when w(-120) is divided by k(-8)?
71
Suppose -5*g = 2*m - 195, 116*m - 121*m + 519 = 2*g. Calculate the remainder when m is divided by 72.
33
Let o(y) = -184*y + 590. Let x = 91 + -143. Calculate the remainder when o(3) is divided by (x/(-8))/((-2)/(-4)).
12
Let l = -2748 - -2766. Calculate the remainder when 624 is divided by l.
12
Suppose 6*c = -4*d + 2840 + 1366, 4907 = 7*c + d. What is the remainder when c is divided by 35?
1
Suppose 0 = 6*q + 92 - 320. Suppose -7*s + q = -6*s. Calculate the remainder when 148 is divided by s.
34
Let a = -23 - -25. What is the remainder when (-894)/(-14) + 24/21 is divided by (-8)/a*17/(-4)?
14
Suppose 9*i + 3347 - 3581 = 0. Calculate the remainder when 121 is divided by i.
17
Let m = -21 + 29. Suppose 9*v - 48 = 17*v. Let k(x) = -10*x - 46. What is the remainder when k(v) is divided by m?
6
Let n(y) = y**3 - 8*y**2 + 16*y + 15. Suppose -41 = -20*k + 79. Calculate the remainder when n(k) is divided by 15.
9
Let q(x) = x**3 - 7*x**2 + 68*x - 361. What is the remainder when 814 is divided by q(6)?
0
Let b = -3859 - -3920. What is the remainder when 354 is divided by b?
49
Suppose -4*g + 7*g + 2*f = 18, 0 = 2*g - f - 12. Calculate the remainder when ((-2)/g)/(7/(-651)) is divided by 16.
15
Suppose -6*l - 89 = -695. Let q = 15 - 72. Let b = l + q. Calculate the remainder when b is divided by 12.
8
Suppose 0*k - 1449 = -3*k. Suppose -2*b = -3*x - 27 - k, -680 = 4*x - 5*b. What is the remainder when 11 is divided by (-4)/(-18) + x/(-45)?
3
Let u(s) = 77*s. Let g(o) = -350*o + 2. Let h(t) = 2*g(t) + 9*u(t). Suppose -2 + 50 = -2*i. Calculate the remainder when h(i) is divided by 29.
27
Let h = 12076 - 11990. What is the remainder when 145 is divided by h?
59
Suppose f + 21*f = 1474. Suppose 0 = 3*z - l - 51, -z + 3*z - 34 = l. What is the remainder when f is divided by z?
16
Let g be -140*(-7)/((-84)/(-15)). Suppose 5*c - 160 = -5*n, 3*c - 8*c - 2*n + g = 0. What is the remainder when c is divided by 10?
7
Suppose -14*a - 14996 + 25146 = 0. What is the remainder when a is divided by 9?
5
Let r(z) = -545*z**3 + 2*z + 1. Let k be r(-1). Suppose 51 = -4*d - 4*x + 631, 0 = 4*d - 5*x - k. What is the remainder when d is divided by 29?
25
Suppose 3*p - 4*j = 409, -130*j = -5*p - 131*j + 651. Calculate the remainder when 772 is divided by p.
117
Let w(s) = -8*s**2 - 158*s - 10. What is the remainder when w(-14) is divided by 7?
4
Suppose -b - 3*q = -3334, 63*q + 16680 = 5*b + 68*q. Calculate the remainder when b is divided by 834.
1
Let c(z) = 2*z**2 + 8*z + 8. Suppose 127*a - 126*a - 14 = 0. Suppose -a*p = -20*p + 330. Calculate the remainder when c(7) is divided by p.
52
Let w(s) = 46*s - 248. Let c = -75 + 167. What is the remainder when c is divided by w(6)?
8
Calculate the remainder when 467 is divided by 10/(-7) + 87750/910.
87
Let m = 73 + -27. Let k = m + 46. Suppose -4*r - 3*h = -k, 2*h + 2*h = -16. What is the remainder when 127 is divided by r?
23
Let p(x) = -x**2 + 7*x + 108. Let t be p(0). Let l = t + -102. What is the remainder when 25 is divided by l?
1
Let u = -71 - 106. Let f = 210 + u. What is the remainder when f is divided by 13?
7
Let j = 261 + -367. Let l be 35/((-1925)/(-22))*75. Calculate the remainder when j*(-5)/l*3 is divided by 28.
25
Let n(j) = -j**3 + 124*j**2 + 160*j - 3504. What is the remainder when n(125) is divided by 14?
3
Let v = 19 + 1. Let h(a) = -292*a - 720. What is the remainder when h(-3) is divided by v?
16
Let j = 3599 - 3531. Suppose -6 = -0*g - 3*g. Let d = 8 + g. Calculate the remainder when j is divided by d.
8
Suppose -3*t + 356 = -4*l, -100*t = -102*t + 3*l + 236. What is the remainder when t is divided by 20?
4
Suppose n = -2*s + 6, -5*n + 10 = -0*n. Let p = 61 - s. Suppose 5*z + 100 = 15*z. What is the remainder when p is divided by z?
9
Suppose 1540 = -346*h + 366*h. Calculate the remainder when 1088 is divided by h.
10
Let p(m) = -m**3 + 35*m**2 + 12*m + 1046. What is the remainder when 1977 is divided by p(36)?
157
Suppose -4*z + 3*i + 648 = 0, i + 777 = 4*z + 137. What is the remainder when 1103 is divided by z?
149
Calculate the remainder when -9 - 17/((-51)/11961) is divided by 20.
18
Suppose -11 = 4*a - 63. What is the r