be the first derivative of -p**2/2 + 91*p + 47. Calculate the remainder when i(-14) is divided by 22.
17
Let d be (-21 - -11)/(4/(-1*2)). Suppose -d*i + 53 = -z, -2*i - z = 3*z - 8. What is the remainder when 21 + (4 + -2)*-1 is divided by i?
9
Calculate the remainder when (-30)/(-270)*0 + 123 + 0 is divided by 72.
51
Suppose 4*c = 93 + 435. What is the remainder when c is divided by ((-68)/6)/((1488/(-72))/31)?
13
Let x(t) = -32*t - 9. Calculate the remainder when x(-8) is divided by -21 - -65*80/200.
2
Suppose 0 = 6*b - 3 - 15. Suppose 2*p + y = 15, 13 = b*p - y + 3. What is the remainder when 33 is divided by p?
3
Let y(m) = 5*m**3 - 236*m**2 + 54*m + 117. What is the remainder when y(47) is divided by 184?
78
Suppose 0 = x - 2*b - 18, 0 = -2*x + 2*b + 22 + 18. Let d = -67671 + 67843. What is the remainder when d is divided by x?
18
Calculate the remainder when (14766906/36)/77 + (-10)/(-12) is divided by 41.
39
Suppose 3*w - 975 = -3*l, 5*l = -4*w + 1044 + 260. What is the remainder when w is divided by 101?
18
Suppose -70930 = -603*z + 117699 - 14362. Calculate the remainder when 875 is divided by z.
8
Let a = -40 + 120. Let z(k) = -k**3 - 24*k**2 - 22*k + 17. Let i be z(-23). Let g(x) = -12*x - 55. What is the remainder when a is divided by g(i)?
12
Let d(x) = 2*x**2 + 77*x + 111. Let z be d(-37). Suppose -82 = -9*f + 7*f + 4*q, z = 5*f - q - 223. Calculate the remainder when 70 is divided by f.
25
Suppose 171*g = 106*g + 122005. What is the remainder when g is divided by 621?
14
Suppose -178 = -5*c + 3*c - 5*g, 4*g = 5*c - 478. Suppose 5*x = 4*w - c, -4*x + 76 = 4*w - 0*x. What is the remainder when 76 is divided by w?
13
Suppose -807 + 3383 = 23*o. Suppose 39*i - 1326 = 936. What is the remainder when o is divided by i?
54
Let a(m) = -m**3 - 33*m**2 + 38*m - 372. What is the remainder when a(-35) is divided by 43?
17
Suppose 17*s + 36*s = 21*s + 13440. What is the remainder when s is divided by 121?
57
Let y(s) = -s**2 - 39*s - 316. Let f be y(-28). What is the remainder when (f + 64)/(-7) - -101 is divided by 41?
11
Let b(w) = 11*w. Let m(n) = 53*n - 25*n - 23*n + 131. Calculate the remainder when m(-18) is divided by b(2).
19
Suppose -4*m - 12 = 0, -2*m - 2*m + 904 = 2*w. Let d = w + -309. Calculate the remainder when d is divided by 51.
47
Let l be ((-21)/(-35))/(3/(-1335)). Let p = -98 - l. What is the remainder when p is divided by 29?
24
Suppose 0*k - 187 = 2*s + k, 0 = 4*s - 4*k + 380. Let m = -96 - s. What is the remainder when (-3)/2*m - 4/(-2) is divided by 3?
2
Suppose 0 = 9*i - 1782 - 846. What is the remainder when i is divided by 86?
34
Suppose -149 = -9*b + 697. Suppose 3*v = 6*v - 2*g - 88, 4*v - g = 109. What is the remainder when b is divided by v?
16
Suppose -650698 = -68*r - 161166. Calculate the remainder when r is divided by 13.
10
Let i(z) = z**2 + 6*z + 5. Let w be i(-4). Let r(j) = -6*j - 3. Calculate the remainder when r(w) is divided by 3.
0
Suppose -3*r + 12 = s + 7, -4*s - r = -53. Suppose -y = -10 - s. Calculate the remainder when 80 is divided by y.
8
Suppose -104*x = -3985 + 969. Calculate the remainder when 518 is divided by x.
25
Suppose 2*c - 5*p = 3355, -2*p - 3340 = -58*c + 56*c. Calculate the remainder when 9995 is divided by c.
5
Let q be ((-52)/(-12))/13*36. Suppose -q*m + 975 = -69. Calculate the remainder when m is divided by 25.
12
Let a = 147 - 105. Let m(d) = d + 10. Let g be m(-6). What is the remainder when a is divided by ((-18)/g - -2)*(57 + -63)?
12
Suppose 296*g = 86*g + 2520. Suppose 0 = -4*x - 4*a + 55 + 165, 3*a - 221 = -4*x. Calculate the remainder when x is divided by g.
8
Let x = 635 - 633. Suppose 70 = 5*i - x*h + 6*h, -2*i = -4*h - 56. Calculate the remainder when 121 is divided by i.
13
Let t(p) = 49*p**2 - 271*p - 403. Suppose -7 - 34 = -j. What is the remainder when t(7) is divided by j?
19
Calculate the remainder when 180 is divided by 2/(-33) + (-426632)/(-4488).
85
Suppose 9*f - 399 + 74 - 134 = 0. Let t(h) = -h**2 + h + 14. What is the remainder when f is divided by t(0)?
9
Let a be -2 - (-18120)/50 - 2/5. Let b = 535 - a. Calculate the remainder when b is divided by 45.
40
Suppose 32 + 4 = 3*g. Let l be (-8)/(-48) + 58/g. Suppose -l*o + 2 + 2 = 3*j, 2*j = -4. Calculate the remainder when o is divided by 1.
0
Let w(j) = -48*j**2 + 1. Let a be w(1). Let o = a + 106. Let h(c) = 159*c - 521. What is the remainder when h(4) is divided by o?
56
Suppose 36*p - 64850 = -31*p + 17*p. What is the remainder when p is divided by 57?
43
Let k = -16 + 67. Let h(y) = y**3 + 23*y**2 - 238*y + 9. What is the remainder when h(8) is divided by k?
38
Let q(h) = 2*h**3 + 209*h**2 - 104*h + 453. What is the remainder when q(-105) is divided by 239?
109
Let a be (-3 + 5)/(1 - 16/18). Let g be (-12)/a*42/(-4). Suppose 0 = -g*q + 4*q + 144. What is the remainder when q is divided by 19?
10
Suppose -17*u - 121 = -21*u + 119. Calculate the remainder when 944 is divided by u.
44
Let w(i) = i**3 + 2*i**2 + i. Let g be w(2). Suppose y - 20 - g = 0. Suppose -43*d = -168 - 278 + 16. Calculate the remainder when y is divided by d.
8
Suppose 10*h = 21*h - 495. Suppose -k = -233 + h. Calculate the remainder when k is divided by 50.
38
Let l(d) = -216*d - 116. What is the remainder when l(-2) is divided by 54?
46
Suppose -14*t - 13 = -16*t - 5*u, 5*u + 85 = 5*t. Calculate the remainder when ((-464)/(-4) - 3) + -2 is divided by t.
13
Suppose -22*n + 376 - 156 = 0. What is the remainder when 346 is divided by n?
6
Let i(n) = 25*n + 109. Let x be (3 - 2)*(0 - 0). Calculate the remainder when i(x) is divided by 59.
50
Suppose -410 = -55*v + 2010. What is the remainder when 598 is divided by v?
26
Let m = -1308 - -1459. What is the remainder when 905 is divided by m?
150
Suppose 11 = 2*t + t - 2*w, 3*t = -2*w - 5. Let i(c) = 6*c - 812 + c + 405 + 405. What is the remainder when i(t) is divided by 3?
2
Let l = 65 - -76. Let m = 177 - l. Calculate the remainder when 56 is divided by m.
20
Suppose 10 = -5*f, -5*f - 7 = 5*x - 27. Let r(s) = 3*s**2 - 13*s - 4. What is the remainder when r(x) is divided by (-2)/(0 + (-4)/18)?
8
Let f be 1 - (1 - -1 - 0). Let m(y) = -2*y**3 - 26*y**2 - 178*y - 1833. What is the remainder when 28 - 2/(-1 + f) is divided by m(-12)?
14
What is the remainder when (-6 + -984)/(-3 + 0 - -1) is divided by 179?
137
Suppose 0 = -10*k + 5*k + y + 230, 0 = 2*k - 3*y - 79. Calculate the remainder when 14944 is divided by k.
45
Suppose 0 = -85*x - 217*x - 177*x + 447865. What is the remainder when 5619 is divided by x?
9
Let k(i) = 8*i - 6. Let z be k(1). Let y be (-5 + z + (-8)/16)*-2. Suppose b = y - 2. What is the remainder when 24 is divided by b?
4
Let g(d) = -d**3 - 6*d**2 + 2*d + 29. Let o be 1003/(-136) + 3/8. Let m be g(o). Suppose m = 6*h - 4*h. What is the remainder when 95 is divided by h?
31
Let p = 2144 - 1996. What is the remainder when p is divided by 31?
24
What is the remainder when 88 is divided by (-7 - (-17 - -13)) + 36?
22
Suppose 3*a - 46 = 5*r, 3*r + 150 - 156 = -3*a. What is the remainder when 1195 is divided by a?
5
Suppose -5*y - 7434 = -2*g, -287*g + y + 3711 = -286*g. Calculate the remainder when g is divided by 15.
2
Let l be -4*3/6 + -44 + -4. Let p = l + -15. Let q = -41 - p. Calculate the remainder when q is divided by 10.
4
Let h = 1664 - 1661. Let s be 14/(-1 + 4/3). Suppose -5*f + 4*r = 8*r - 48, h*f = 2*r + s. Calculate the remainder when f is divided by 7.
5
Let d = 2761 + -2601. Calculate the remainder when d is divided by 31.
5
Suppose 0 = -x - 4*g - 340, 2*g = -2*x - g - 655. Let z = 341 + x. Calculate the remainder when 118 is divided by z.
13
Suppose 2*y - 6 = 8. Let l be 3/6 - y/(-2). Suppose -16 = 4*v + l, 4*a + 2*v = 98. Calculate the remainder when 105 is divided by a.
24
Let q(h) = 2*h**3 - 10*h**2 + 8*h + 9. Let r = -114 - -114. Suppose r = -2*i, -30 = -4*n - n + i. What is the remainder when q(n) is divided by 13?
12
Let i = 736 - 608. What is the remainder when i is divided by (-1)/(13/136 - 25/200)?
26
Let h(p) = p**3 - 21*p - 3. Let z be h(-4). Suppose z*t = -193 + 839. What is the remainder when 172 is divided by t?
20
Calculate the remainder when 141 is divided by 4/6 + (10 - 119/21).
1
Suppose -y = -43 - 22. Suppose -4*r = -4*u + 26 - 4