.
2
Let g = 33 - 31. Let p(j) = 25 - 3*j + 8*j + g*j - 27. What is the remainder when p(13) is divided by 30?
29
Let b = -1714 + 1850. What is the remainder when b is divided by 37?
25
Let z(p) = -68*p + 3172. What is the remainder when z(44) is divided by 44?
4
Let x = 1939 + -1853. Calculate the remainder when x is divided by 75.
11
Suppose 0 = 4*l + 44*v - 40*v - 728, 4*l + 2*v - 734 = 0. What is the remainder when l is divided by 43?
13
Suppose 142 = 12*y - 494. Let g = 73 - y. What is the remainder when 69 is divided by g?
9
Suppose 0 = 33*w + 556 - 2701. Calculate the remainder when 4285 is divided by w.
60
Suppose 14*x = -15663 - 26953. Let h be (-8)/(-28) - x/28. Suppose 445 = 4*v - 5*z, -v = -2*v + 2*z + h. Calculate the remainder when v is divided by 29.
28
Suppose -4*i + 22 = -0*c - 3*c, 0 = -i - 2*c. Suppose i*q - 496 = -12*q. Calculate the remainder when 90 is divided by q.
28
Calculate the remainder when (-37 - -117) + -3 + 0/(-3) is divided by 9.
5
Suppose -21*f - 1446 - 1629 = -46*f. Calculate the remainder when 832 is divided by f.
94
Let n = 7768 - 7397. Calculate the remainder when n is divided by 165.
41
Let y be (-131)/(3*(-6)/36). Suppose 13 = -3*v + 1, 5*v + 12 = -4*i. Suppose 5*t + i = y. What is the remainder when t is divided by 28?
24
Suppose -33*w - 19*w - 18894 + 1273446 = 0. What is the remainder when w is divided by 63?
60
Suppose 125*i + 4249 = 20499. What is the remainder when 5197 is divided by i?
127
Let h(n) = 3*n**2 + 47*n + 230. Calculate the remainder when 99 is divided by h(-7).
3
Suppose -414 = -30*x + 30 + 96. Let w = -42 - -101. Calculate the remainder when w is divided by x.
5
Let k be (-1312)/(-24)*(-12)/(-16). Suppose k*p - 42*p = -22. What is the remainder when 38 is divided by p?
16
Calculate the remainder when (-60)/(-4) - (-4142 + 36) is divided by 15.
11
Let m be (4 + (-24)/9)*3. Let u(x) = 6*x**2 + 11*x - 30. What is the remainder when u(m) is divided by (-4)/(4/2) + 30?
26
Let q(b) = -706*b**3 + b. Let f be q(1). Let h = f + 1559. Calculate the remainder when h is divided by 78.
74
Calculate the remainder when (-385)/77 + (2/10 - 2337/(-15)) is divided by 32.
23
Let z = -10658 - -10721. Calculate the remainder when ((-176)/2)/(1/(-5)) is divided by z.
62
Let b = -464 + 469. Suppose 33*q + 65 = 3*m + 29*q, b*m - 5*q - 105 = 0. What is the remainder when 282 is divided by m?
16
Suppose -89*f + 3368 = 4*g - 88*f, -4*g = 4*f - 3368. Calculate the remainder when g is divided by 13.
10
Let g = 341 - 178. What is the remainder when g is divided by 14?
9
Let t(f) = 9*f - 6. Let r be t(2). Suppose -2*g = -h - 8 + 29, r = h - 5*g. Calculate the remainder when h is divided by 3/7 + (3 - 264/(-21)).
11
Suppose 2*j = -4*h - 160, -2*j + 2*h - 252 = -80. Let r = 57 + j. Let b = r - -40. Calculate the remainder when 37 is divided by b.
11
Let p(h) = -h**3 + 22*h**2 - 95*h + 161. What is the remainder when 185 is divided by p(16)?
8
Suppose 0*k - 2*k - 5*b - 70 = 0, -5*b + 80 = -3*k. What is the remainder when 191 is divided by (-5 - 6/k)/(2/(-5))?
11
Let h(d) = -5*d + 2. Calculate the remainder when 5/(6517/(-546) - -12) is divided by h(-4).
12
Let l = -890 - -928. What is the remainder when 833 is divided by l?
35
Suppose 33*o - 29*o - 2*f = 602, -329 = -2*o + 5*f. What is the remainder when 846 is divided by o?
111
Let y(o) = 7*o**2 - 4*o - 13. Let l be y(-2). Let g = l - 13. Calculate the remainder when 57 is divided by g.
7
Let d(k) = k**3 - 16*k**2 + 5*k + 19. Calculate the remainder when 360 is divided by d(16).
63
Suppose 0 = -8*u + 17*u - 2268. Suppose 29*b - u = 36*b. Calculate the remainder when 164 is divided by (-1520)/b - (-2)/(-9).
38
Let a = 151 - 112. Suppose 7*j + a = 193. Calculate the remainder when j is divided by 6.
4
What is the remainder when (-36)/((-972)/(-297)) + 2088/2 is divided by 175?
158
Let z = -2095 - -3242. What is the remainder when z is divided by 25?
22
Suppose -3*x + 905 = 4*t, -2031*t + 2030*t = x - 301. Calculate the remainder when 1800 is divided by x.
6
Let p(g) = 7*g**2 - 89*g + 188*g - g**2 + 1 + 4*g**2 - 94*g. What is the remainder when 96 is divided by p(2)?
45
Suppose 5098 = 4*p + 2*l, -p + 5*p - 4*l = 5080. What is the remainder when p is divided by 10?
3
Let f = -1581 + 1585. Let w = 9 + 20. Suppose -f*h + 8*h + 3*s - 121 = 0, w = h + s. What is the remainder when h is divided by 10?
4
Suppose 0 = 4*k - 1512 - 856. Calculate the remainder when k is divided by 63.
25
Let f(k) = k**3 - 89*k**2 + k + 315. Calculate the remainder when f(89) is divided by 196.
12
Let w(r) = r**2 - 2*r - 5. Let y be w(4). Let o(a) = 4*a + 0*a - y*a + 1 + 0. What is the remainder when 18 is divided by o(4)?
3
Let j = -1829 + 2387. Calculate the remainder when j is divided by 97.
73
Suppose -2*f + 100 = -7*f. Calculate the remainder when (1 + -2 + -63)*-1 is divided by 8/f - -86*10/25.
30
Let g be (-12)/8 - 762/4. Let c = 210 + g. Calculate the remainder when c is divided by 14.
4
Suppose 0 = -4*x + 3*r + 44, 4*x = -0*x + 2*r + 44. Let g = 65 + 106. Suppose g = -13*h + 1432. Calculate the remainder when h is divided by x.
9
Suppose -11*w = 143 - 44. Let q(j) = 2*j**2 + 13*j + 31. Let g be q(w). Let d = g + -7. Calculate the remainder when d is divided by 35.
34
Let g(c) = -4*c**3 - 9*c + 22. Let v be g(4). Let m = v + 348. What is the remainder when 161 is divided by m?
5
Let u(o) = -o**3 - 4*o**2 + 2*o + 46. Calculate the remainder when 3790 is divided by u(-5).
8
Let q = 3 - -19. Let u(z) = -983*z + 11119. What is the remainder when u(11) is divided by q?
20
Let c be (-12)/(-5)*((-40)/3)/4. Let z = 183 + -97. Calculate the remainder when z is divided by (c - 3)*(-4 - -3 - 1).
20
Suppose 8*h - 5*h = 5*p - 2017, -5*h = p - 409. Let j = p + -344. What is the remainder when 171 is divided by j?
51
Let y(t) be the third derivative of -t**4/24 - 5*t**3/2 - 26*t**2. Let o be y(-20). Suppose -70 - 15 = -o*f. Calculate the remainder when f is divided by 10.
7
Let m(u) = u**2 - 17*u - 61. Let y be m(-11). Suppose 5*c - 4*l - y = -6*l, -95 = -2*c + 3*l. Calculate the remainder when c is divided by 26.
23
Let u be (9/6)/((-7)/14) - -453. Suppose -61*t + u = -46*t. Suppose -l + 102 = -16. Calculate the remainder when l is divided by t.
28
Suppose 2138 = 8*j - 1726. Let c = -477 + j. What is the remainder when (-3)/(-3) - -43*1 is divided by c?
2
Suppose 23*o + 33 = 79. Suppose -6*b = -10*b + 5*r + 198, 264 = 5*b + o*r. What is the remainder when b is divided by 14?
10
Suppose l = -3*l + 608. Suppose 0 = -96*z + 97*z - 17. Calculate the remainder when l is divided by z.
16
Suppose -624*p + 632*p - 2152 = 0. Calculate the remainder when p is divided by 120.
29
Let f = 10 + -3. Suppose -178 + 48 = -26*m. What is the remainder when f is divided by m?
2
Suppose 0 = r + 4*x - 180 + 27, 0 = r + x - 162. Let d = r + -111. Let c = d + -40. What is the remainder when 68 is divided by c?
12
Suppose -9*x + 1867 = 760. What is the remainder when 565 is divided by x?
73
Let p(a) = -499*a + 2148. Calculate the remainder when 14894 is divided by p(4).
150
Suppose 4*d + 3*s = 23, 2*s - 19 = -3*d - 2*s. Let k = d - -72. Calculate the remainder when k is divided by 20.
17
Let m = 39 - 21. Suppose -3*h - m = 54. Calculate the remainder when (52/6)/(h/(-108)) is divided by 10.
9
Let g(b) = 2*b**2 - 79*b - 35. Let k be g(40). Suppose -1040 = -k*f - 5*y, f - 3*y - 167 = 29. What is the remainder when f is divided by 42?
37
Suppose -5*p + 26 = -24. Suppose -3*o + 5*l = -o - 43, -2*l = -p. Let f = 1 - -8. What is the remainder when o is divided by f?
7
Let k = 1890 + -1875. Let w = 0 - 4. Calculate the remainder when k is divided by w/(-2) - (2 - 12).
3
Suppose 22347 = 209*n - 92*n. What is the remainder when 2291 is divided by n?
190
Suppose 227 = -12*d + 1235. Let j(n) = 2*n**2 + 11*n + 4. What is the remainder when d is divided by j(-8)?
40
Let a(m) = -m**3 - 30*m**2 - 58*m - 14. Calculate the remainder when 90 is divided by a(-28).
6
Let q(d) = -2*d**2 - 3*d - 6. Let x be q(0). Let p(h) = -h + 67. What is the remainder when 284 is divided by p(x)?
65
Suppose 8*o + 16*o + 576 = 0. Calculate the remainder when (-414)/o - (-2)/(-8) is divided by 6.
5
Suppose 41*q + 0*q = 8487. Calculate the remainder when q is di