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e units digit of y?
8
Suppose 3*y - 39 = 267. What is the tens digit of y?
0
Let z be (-7 - -10)/(3/(-14)). Let i = z - -16. What is the units digit of i?
2
Suppose -5*j = y - 74 - 179, 235 = 5*j - 5*y. What is the tens digit of j?
5
Suppose -3 = -3*r, -v + 5*v - 3*r = 421. What is the tens digit of v?
0
Suppose 2*l + 2*h = 16, 2*l - h - 14 = -7. What is the units digit of l?
5
Suppose -2*c + c = -36. What is the units digit of c?
6
Let q be ((-24)/(-14))/(6/105). Suppose 2*v = 4*l - q + 80, -3*v - l = -40. What is the tens digit of v?
1
Let q(a) = a**3 + 18*a**2 - 31*a - 6. What is the units digit of q(-19)?
2
Suppose 2*h = -10, 0 = k - 3*h + 11 - 72. What is the tens digit of k?
4
Let s(d) = -2*d - 12. Let x be s(-8). Suppose -x*f - 3*n + 11 = -2, -2*n + 8 = 2*f. What is the units digit of f?
1
Let x be 6/24 - (-34)/(-8). Let s(j) = j**3 + 4*j**2 - 6*j - 4. What is the units digit of s(x)?
0
Let s be 1/(-2)*(0 - 0). Suppose -80 = -d - 4*d - 5*z, -3*z = 4*d - 66. Suppose s = h + 2, -d = -2*y + h + h. What is the units digit of y?
7
Suppose 2*i - 69 - 3 = 0. What is the units digit of i?
6
Let u = -19 - -23. Suppose -u*y = y + 4*x + 11, 0 = 2*y + 4*x + 14. What is the units digit of y?
1
Let c(x) = -6*x**3 + x**2 + 5*x. Let l(i) = -12*i**3 + 2*i**2 + 11*i. Let v(z) = 9*c(z) - 4*l(z). What is the units digit of v(-1)?
6
Let j be 0/((-2)/2) + 4. Let s be (-3)/6 + 82/j. Suppose 6 = -2*y, 0 = -4*f - 0*y - 4*y + s. What is the units digit of f?
8
Suppose 3*j = 2*k - 7, 0 = 4*j - k - 2*k + 8. Let m = 12 + j. What is the units digit of m?
7
What is the tens digit of 45/105 - (2 + 1674/(-14))?
1
Let z(i) = i - 5. Let v = 5 + -2. Let o be z(v). Let q = o + 15. What is the tens digit of q?
1
Suppose -4*z = 6*z - 170. What is the tens digit of z?
1
Let q(l) = l**2 - 5*l + 1. What is the units digit of q(6)?
7
Suppose 0 = -0*w + w - 2*u - 23, 5*u = -5*w + 70. Let q = w + -6. Let l = q - 3. What is the units digit of l?
8
Let w(k) = 4*k**2 + 7*k - k - 6 - 3*k - k**3. Let y be 2*(0/1 + 2). What is the units digit of w(y)?
6
Let w = 7 - 17. Let p = w - -14. What is the units digit of p?
4
What is the units digit of 35/(-2 + 3 - 0)?
5
Let m = 5 + -4. Let f be (m - 5)/((-6)/60). Suppose 3*i = f + 8. What is the tens digit of i?
1
Let l be (-603)/(-21) + (-6)/(-21). Let f = l - -2. What is the units digit of f?
1
Suppose 2*t - 5*t + 78 = 0. Let h(w) = 17*w**2 + 5*w - 17. Let y(c) = 4*c**2 + c - 4. Let q(m) = t*y(m) - 6*h(m). What is the tens digit of q(4)?
1
Let o = -53 - -94. What is the units digit of o?
1
Suppose 4*f - 115 - 189 = 0. What is the tens digit of f?
7
Suppose -60 = -n - 8. What is the tens digit of n?
5
What is the tens digit of 1 - -26 - 3/(-1)?
3
Suppose 5*v = 6*v - 46. What is the units digit of v?
6
Suppose -1 = -5*c + 9. Let g be (c + 1)/3 - -4. Suppose -s = -4*u - 2, -g*u + 11 = 4*s + 3. What is the units digit of s?
2
Let p = 60 - -27. What is the units digit of p?
7
What is the units digit of (6/4)/((-21)/(-56))?
4
Suppose -108 = -0*c - 3*c. What is the tens digit of c?
3
Let t(y) = -8*y - 48. What is the units digit of t(-25)?
2
Suppose -u - u + 5*j = -146, -4*u = -3*j - 278. What is the units digit of u?
8
Let j(g) = -g - 1. Let v = 6 + -4. Suppose 0 = 2*c - v*y + 18, -5*c + 5*y = -2*c + 37. What is the units digit of j(c)?
3
Let z(y) = -y**2 + 7*y - 1. Let x be z(6). Suppose x*h + 26 = -v + 5*v, 10 = 5*h. What is the units digit of -3*((-24)/v - -1)?
5
Let m(b) = -2*b - 1. Let r be m(-3). Suppose -14 - 11 = -r*a. Suppose 4*i + a*v - 58 = -9, 0 = -3*i - 3*v + 33. What is the units digit of i?
6
Suppose -3*u - 5*k - 37 = 0, 2*k + 15 = 5. Let i(b) = b**3 - 11*b**2 + 11*b - 11. Let o be i(10). What is the units digit of (o + (-2)/u)*-12?
6
Let f = -6 - 6. What is the units digit of 5/(-2)*f/15?
2
Let j(a) be the first derivative of -a**2/2 - 3*a - 4. What is the units digit of j(-4)?
1
Suppose 5*a - 180 = 2*h, -4*a + 2*h = -0*h - 144. What is the tens digit of a?
3
Suppose -v + 16 = -2*g, -5*g + 0*v + 5*v = 45. Let h = 9 + g. Suppose -h*s - 3*b = 3*s - 112, 72 = 4*s - 2*b. What is the tens digit of s?
2
Let p(f) = f**3 - 4*f**2 + 2. Let h be p(4). Suppose -5*b - c = -25, -c = -2*b - h*c + 13. Suppose -1 = -b*z + 7. What is the units digit of z?
2
Suppose 3*k - 7 = 3*r - 5*r, 3*r - k = 5. Suppose -r = 5*v + 8. Let p = v - -6. What is the units digit of p?
4
Let s(r) = 114*r**2 - 6. Let k(i) = -23*i**2 + 1. Let x(b) = -11*k(b) - 2*s(b). Let f be x(-1). Let g = f + -8. What is the tens digit of g?
1
Let p(d
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{
"pile_set_name": "DM Mathematics"
}
|
34)). Calculate the highest common factor of y and 1887.
111
Suppose 3*f + 3*q = 8295, -f - 2010*q + 2013*q = -2741. Calculate the greatest common divisor of 31 and f.
31
Suppose -3 = -3*u + 4*c, -4*c + 5 = -7. Let k be (28/12)/((-1)/(-9)). Let n = k - u. Calculate the greatest common divisor of n and 4.
4
Let p be 31/2*(-4)/(-2). Let h(d) = 12*d**3 + d**2 + 2*d + 2. Let u be 2/(4/(-3) + 2). Let r be h(u). Calculate the greatest common factor of r and p.
31
Suppose -a - 2 = -3. Let l(r) = -2*r**3 + 15*r**2 + 7*r + 1. Let u be l(8). Let t be (-35)/u + 2 + 0 + -2. What is the highest common divisor of a and t?
1
Suppose 2*z = -5*s - 0*z + 8, -4*s + 3 = 5*z. Let p be (s - (4 - 3)) + (37 - 7). Calculate the highest common divisor of 248 and p.
31
Let y(u) = -u**2 + 5*u + 105. Let o be y(-6). Calculate the highest common factor of o and 4017.
39
Let l(a) = 48*a**2 + 29*a + 123. Let d be l(-5). Calculate the greatest common divisor of 1085 and d.
31
Let k = 58 + -54. Suppose -4*o + k*y + 28 = 0, -3*o - o = 3*y - 56. Let n = -10 - -65. Calculate the highest common divisor of n and o.
11
Suppose 54*x = -23*x + 2202 - 46. What is the greatest common divisor of x and 500?
4
Let w(r) = -25*r**2 + 39*r - 14. Let y be w(4). Let i be (2/(0 + 1))/(y/(-2709)). What is the highest common factor of 525 and i?
21
Let z(l) = 6*l - 3. Suppose -7*x + 2*x = -60. Let q be (x*1)/(-1*(-12)/8). Let a be z(q). Calculate the highest common divisor of a and 18.
9
Let j = 15850 - 5939. What is the greatest common divisor of j and 34?
17
Let q(u) = -25*u + 1223. Let v be q(47). What is the highest common factor of 1024 and v?
16
Let c(v) be the second derivative of -v**5/10 - 11*v**4/3 - v**3/3 - 15*v**2 + 41*v. Let l be c(-22). What is the greatest common divisor of l and 14?
14
Let k = -30516 - -31476. Calculate the highest common factor of 2368 and k.
64
Let j(w) be the first derivative of 5*w**2/2 + 33*w + 31. Let i be j(10). Let h = 93 - i. Calculate the highest common divisor of 15 and h.
5
Let t = -50 + 63. Suppose -d - t = 55. Let x = -54 - d. Calculate the greatest common divisor of x and 42.
14
Suppose -17156*k + 3300 = -17144*k. Calculate the highest common factor of 44 and k.
11
Let a be (3 - (0 - 0))/(87/(-116)). Let w = 147 + a. Let d = w + -94. Calculate the greatest common factor of 7 and d.
7
Suppose 3*v - 564 = 4*m, 6 = 5*v - 6*m - 930. What is the highest common factor of v and 315?
45
Let c(s) = -7*s**2 - 6*s - 14. Let n be c(-7). Let f be n/27*9/(-3). Suppose 4*k - 91 = -f. Calculate the highest common divisor of 112 and k.
14
Let r = 378 + -367. Suppose 0*c + 363 = r*c. Calculate the greatest common factor of c and 44.
11
Suppose -a - z - 2*z - 4 = 0, 4*z = -16. Suppose -864 = -a*l - 136. Suppose -3*o + 8 = 2*k - 17, 3*k + 8 = 2*o. Calculate the highest common factor of l and o.
7
Let f(q) be the first derivative of -6*q**2 - 22*q + 96. Let g be f(-3). Calculate the greatest common divisor of 154 and g.
14
Suppose -347 - 73 = -5*l. Let j(s) = 67*s - 3763. Let k be j(57). Calculate the greatest common factor of l and k.
28
Suppose j = 18 + 14. Suppose 160 = 4*c + j. Let z = 58 + c. Calculate the highest common divisor of z and 18.
18
Let n(p) = 16*p - 159. Let x be n(11). Let f(q) = -2*q**2 + 44*q + 12. Let t be f(x). Calculate the greatest common divisor of 70 and t.
14
Suppose 5*x - 2810 - 6914 = -63*x. What is the greatest common divisor of x and 247?
13
Let s = 164 + -102. Let c = s - 57. Suppose -u - 3 = -2*h + 2, c = -h + 3*u. Calculate the greatest common factor of h and 28.
4
Suppose -33*y = 3*d - 35*y - 225, 1315 = 17*d + 2*y. Let o = 38 + -27. Suppose -o - 11 = -2*n. Calculate the greatest common factor of d and n.
11
Let o be (5511/668)/(39/12 + -3). Let z = -324 + 621. What is the greatest common factor of o and z?
33
Suppose 5*j - 4*b = -269, 5*j + 244 = j - 4*b. Let f = j + 37. Let h be (4/f - 492/15)*-1. Calculate the highest common divisor of h and 22.
11
Suppose 4*k + 4*a - 1200 = 960, -a - 2694 = -5*k. What is the greatest common divisor of 1568 and k?
49
Let c(k) = k**2 - 29*k + 32. Let m be c(27). Let x = 29 + m. Suppose 751 = x*n - 250. Calculate the highest common divisor of n and 13.
13
Let w = -623 - -637. Suppose -7*s + 10 = -2*s. Suppose -2*y + 254 + 118 = s*r, -2*r = 3*y - 376. What is the greatest common divisor of r and w?
14
Let q(s) = s**2 + 70*s + 942. Let i be q(-52). Suppose 4*k - 2*o + 325 = 1445, -k + 262 = -5*o. What is the greatest common divisor of i and k?
6
Let f be 256/(-12) - 2/3. Let q = -16 - f. Suppose -q*m = -4*a - m + 138, 2*m - 124 = -4*a. What is the highest common factor of 64 and a?
32
Let t be 3/((-3)/8 + 0/(-6)). Let h be (-32 + 0)*(t + (-36)/(-8)). What is the greatest common factor of h and 42?
14
Let v = -33 + 65. Let s = 104 - v. Suppose 3*b = -3*d + 4*b + 35, 4*d + 5*b - s = 0. What is the greatest common factor of 143 and d?
13
Suppose 3*u - r = 1158, 3*u - 1193 = 4*r - 17. Let c be (-2*13)/(-2) - 1. Calculate the greatest common factor of u and c.
12
Suppose -920 - 184 = -3*b. Let q = b - 225. What is the highest common divisor of q and 11?
11
Suppose 88*o - 50*o = 22724. Calculate the greatest common divisor of o and 104.
26
Let j(w) = -17*w**3 - 209*w**2 - 16*w + 34. Let b be j(-15). Calculate the highest common divisor of b and 32.
32
Let g be (-12)/9 + 1 - (-17)/((-1530)/(-109830)). What
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{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {l: 5, m: 2, r: 7, q: 1, v: 1, j: 4}.
4/969
Four letters picked without replacement from dbgrggrgrrrdrgggrdlb. Give prob of picking 3 r and 1 g.
49/969
What is prob of picking 1 b, 1 d, 1 x, and 1 g when four letters picked without replacement from {d: 1, x: 1, e: 3, g: 2, b: 3, s: 1}?
1/55
What is prob of picking 1 z, 1 y, and 2 r when four letters picked without replacement from {z: 10, r: 4, y: 6}?
24/323
Four letters picked without replacement from {y: 1, i: 2, d: 2, z: 1}. Give prob of picking 1 d, 1 z, and 2 i.
2/15
Three letters picked without replacement from {l: 12, r: 3}. Give prob of picking 3 r.
1/455
Two letters picked without replacement from {h: 2, i: 2, q: 1, u: 1}. Give prob of picking 1 q and 1 i.
2/15
What is prob of picking 1 w and 3 l when four letters picked without replacement from {l: 3, w: 5}?
1/14
Four letters picked without replacement from {d: 2, z: 8, f: 8}. What is prob of picking 2 f, 1 z, and 1 d?
112/765
What is prob of picking 1 x and 2 t when three letters picked without replacement from {x: 7, t: 3, n: 4}?
3/52
Three letters picked without replacement from yyykx. Give prob of picking 1 x, 1 y, and 1 k.
3/10
Four letters picked without replacement from xyjpprjrrrjppr. What is prob of picking 3 p and 1 r?
20/1001
Three letters picked without replacement from hhhhzhzhhhhh. Give prob of picking 3 h.
6/11
Three letters picked without replacement from xkjgikiookxg. Give prob of picking 1 x, 1 o, and 1 k.
3/55
What is prob of picking 2 t when two letters picked without replacement from cctttkkt?
3/14
Two letters picked without replacement from xxxrrrsrxx. Give prob of picking 1 r and 1 s.
4/45
Calculate prob of picking 1 o and 3 l when four letters picked without replacement from {l: 3, o: 3, g: 2, e: 8}.
3/1820
What is prob of picking 4 f when four letters picked without replacement from {q: 6, f: 4}?
1/210
Two letters picked without replacement from pppgrdgrrggerrrzgrp. What is prob of picking 1 d and 1 z?
1/171
Four letters picked without replacement from {r: 5, f: 1, d: 2, a: 1, h: 1}. Give prob of picking 2 r, 1 a, and 1 h.
1/21
Calculate prob of picking 1 e, 1 l, and 2 w when four letters picked without replacement from {l: 3, c: 1, o: 2, w: 4, k: 3, e: 3}.
27/910
Calculate prob of picking 2 i and 2 c when four letters picked without replacement from iccciiciciiiii.
360/1001
What is prob of picking 2 r and 1 g when three letters picked without replacement from bgbbbbbrrdbbdbbb?
1/560
Calculate prob of picking 1 w, 1 y, 1 i, and 1 m when four letters picked without replacement from {h: 1, y: 1, i: 1, m: 2, v: 1, w: 1}.
2/35
Calculate prob of picking 1 w and 2 u when three letters picked without replacement from {o: 5, u: 5, w: 4}.
10/91
Calculate prob of picking 1 t, 1 p, 1 z, and 1 e when four letters picked without replacement from {p: 2, r: 3, z: 4, t: 7, e: 1}.
2/85
Four letters picked without replacement from mccqeqeyyemyeqeqqc. Give prob of picking 2 c and 2 q.
1/102
Three letters picked without replacement from kfgbbhkh. What is prob of picking 1 k and 2 h?
1/28
Calculate prob of picking 1 e, 1 c, and 1 q when three letters picked without replacement from {i: 1, c: 1, e: 1, n: 1, q: 1}.
1/10
Three letters picked without replacement from fbxxgbfgbsggmbg. What is prob of picking 1 x, 1 g, and 1 f?
4/91
Two letters picked without replacement from {f: 2, h: 2, z: 2, r: 2, g: 1, y: 5}. Give prob of picking 2 h.
1/91
Four letters picked without replacement from {a: 5, q: 4, m: 7}. Give prob of picking 3 a and 1 q.
2/91
Calculate prob of picking 2 n when two letters picked without replacement from {b: 8, h: 7, n: 3}.
1/51
What is prob of picking 1 u and 2 a when three letters picked without replacement from aaaauaaaua?
7/15
Two letters picked without replacement from tctttttctttt. What is prob of picking 1 t and 1 c?
10/33
Two letters picked without replacement from slllsssllsslssllssl. What is prob of picking 1 l and 1 s?
10/19
Three letters picked without replacement from zwwwzzwwwwgwwgwzwzww. Give prob of picking 1 z, 1 w, and 1 g.
13/114
Two letters picked without replacement from {b: 2, c: 1, j: 2}. Give prob of picking 1 b and 1 c.
1/5
Two letters picked without replacement from ffccccc. What is prob of picking 1 f and 1 c?
10/21
Calculate prob of picking 3 k and 1 a when four letters picked without replacement from aackaakaaakakkkaca.
10/153
Four letters picked without replacement from {r: 1, g: 3, k: 5, s: 3, p: 1, w: 2}. Give prob of picking 1 g, 2 k, and 1 s.
6/91
Calculate prob of picking 2 g when two letters picked without replacement from {n: 3, a: 8, g: 5, z: 1, o: 3}.
1/19
Two letters picked without replacement from {d: 3, c: 2, u: 1, l: 4}. What is prob of picking 2 d?
1/15
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from qmbge.
1/10
Four letters picked without replacement from jjjyjjyyjjjjyjjjjj. Give prob of picking 3 j and 1 y.
364/765
Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {z: 4, k: 4, q: 3}.
6/55
Three letters picked without replacement from uaiauzaazz. Give prob of picking 1 z, 1 u, and 1 a.
1/5
What is prob of picking 2 k when two letters picked without replacement from {k: 3, j: 5, b: 2, z: 3, q: 2}?
1/35
What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 1, h: 1, t: 1, n: 1, f: 1}?
1/10
Four letters picked without replacement from gjjlgjq. Give prob of picking 1 l, 2 g, and 1 j.
3/35
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {u: 1, w: 3, m: 1}.
1/10
Two letters picked without replacement from {u: 1, z: 3, j: 1}. Give prob of picking 2 z.
3/10
What is prob of picking 1 q and 1 c when two letters picked without replacement from {q: 1, e: 2, c: 1}?
1/6
Two letters picked without replacement from {g: 1, k: 2, x: 5, u: 3, e: 1}. What is prob of picking 1 k and 1 e?
1/33
Four letters picked without replacement from mmmmmmhmmmmm. Give prob of picking 1 h and 3 m.
1/3
Two letters picked without replacement from vvrvrvvrvvr. What is prob of picking 2 r?
6/55
Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {b: 3, o: 2, d: 15}.
7/38
Four letters picked without replacement from {s: 7, a: 8, c: 3}. Give prob of picking 4 a.
7/306
Two letters picked without replacement from {r: 5
|
{
"pile_set_name": "DM Mathematics"
}
|
= -p. Let w(o) = 640*o**2 - 14*o + 0*o - 6*o + 20*o. Determine s(w(t)).
-640*t**2
Let l(t) be the first derivative of -t**6/90 + 52*t**3/3 - 33. Let n(k) be the third derivative of l(k). Let v(i) = 11*i. What is n(v(p))?
-484*p**2
Let k(a) = 2*a**2 + 5*a**2 + 6*a**2 - 17*a**2 + a**2. Let n(r) = -43*r**2. Let p(d) = 473*d**2. Let h(v) = -43*n(v) - 4*p(v). What is h(k(y))?
-387*y**4
Let o(c) = -c + 5. Let i(w) = 116888*w - 2. What is i(o(k))?
-116888*k + 584438
Let a(h) = -115*h. Let m(j) be the third derivative of 11*j**5/60 + 4*j**2 - 60*j + 3. Calculate m(a(v)).
145475*v**2
Let d(y) = 2*y**2. Let r = -36 + 47. Suppose -3*o = -w + 3*w + 11, -5*o = -3*w + 31. Let f(u) = -r*u**w + 26*u**2 - 13*u**2. Give f(d(m)).
8*m**4
Let a(y) = -783*y. Let m(z) be the first derivative of -z**3 - 1328. Calculate a(m(l)).
2349*l**2
Let a(l) = -23*l - 552 + 12*l + 13*l + 552. Let j(z) be the first derivative of 243*z**2 - 28. Give a(j(f)).
972*f
Let r(d) = d - 5. Let w be r(7). Let u(k) = 623*k**2 + 626*k**2 - 1230*k**w. Let l(b) = -b. Give l(u(x)).
-19*x**2
Let t(k) = 46*k. Let h(q) = -2241734*q**2. Give t(h(c)).
-103119764*c**2
Let c(s) = 4*s**2 + 12. Let d(m) = 5*m**2 + 14. Let k(y) = -7*c(y) + 6*d(y). Let l(p) be the first derivative of 3*p**2/2 - 7*p - 3. What is l(k(g))?
6*g**2 - 7
Let j = 21 - -2. Let s be 0 + j + (4 - 4). Let k(p) = -s*p**2 + 25*p**2 + 4*p - 4*p. Let v(g) = 34*g**2. Calculate k(v(t)).
2312*t**4
Let k(s) = -8*s - 2. Let x(u) = -25*u - 6. Let c(q) = -6*k(q) + 2*x(q). Let v(f) = 1 - 1 + 9*f. Calculate v(c(m)).
-18*m
Let s(r) = 42*r - 301*r + 260*r - 54. Let d(u) = -2*u. What is d(s(l))?
-2*l + 108
Let g(j) be the first derivative of j**3/3 - 1. Let w(f) = -37119*f**2 + 18554*f**2 + 18585*f**2. Determine g(w(v)).
400*v**4
Let d(s) = 2070319*s + 1. Let q(u) = 2*u. Calculate q(d(o)).
4140638*o + 2
Let g(y) = -14*y + 3. Let h(w) = -101*w + 21. Let b(m) = 21*g(m) - 3*h(m). Let l(a) = 395*a + 2. What is b(l(x))?
3555*x + 18
Suppose 17*c = 3*c + 210. Let s(b) = 17*b + 4*b - c*b. Let w(q) = 13*q. Determine w(s(y)).
78*y
Let c(n) = -2*n**2 - 116. Let z(s) = -2640*s + 1. Calculate z(c(b)).
5280*b**2 + 306241
Let s(r) = -115*r**2. Let h(a) = -326364*a. Give h(s(p)).
37531860*p**2
Suppose -13*q + 244 = -445. Let b(m) = q - 25 - 15*m**2 - 28. Let a(x) = 3*x. Calculate a(b(n)).
-45*n**2
Let z(j) = -3*j + 17. Let n(l) = -22*l + 135. Let f(b) = -3*n(b) + 21*z(b). Let k(o) = -6*o. Determine k(f(c)).
-18*c + 288
Let n(f) = -227*f**2 - 46777. Let m(a) = -2*a. Give n(m(x)).
-908*x**2 - 46777
Let o(l) be the first derivative of -15 + 0*l + 9/2*l**2. Let p(b) = -17*b**2. Calculate p(o(v)).
-1377*v**2
Let b(i) = i - 32. Let s(x) = 314*x - 5*x**2 + 224*x - 538*x. What is b(s(q))?
-5*q**2 - 32
Let t(w) be the third derivative of -w**5/12 - 6*w**2 - 147. Let j(d) be the first derivative of 0 - 4*d**2 + 2 + 2*d**2. Determine j(t(n)).
20*n**2
Let c(y) = y. Let w(x) = -5031*x - 65. Let l be w(-10). Let n(o) = 50245*o - l*o - 13*o**2. Determine c(n(g)).
-13*g**2
Let x(h) be the first derivative of -28 + 12 - 26 + h**2. Let n(p) = p. Let z(b) = b**2 + 6*b. Let u(t) = -6*n(t) + z(t). Determine x(u(f)).
2*f**2
Let k(b) be the second derivative of -2*b**3/3 + 197*b + 11. Let l(w) = 3*w**2 - 1. Give k(l(q)).
-12*q**2 + 4
Let u(g) = 30*g**2. Let j(o) be the second derivative of -o**3/6 - 4*o**2 + 79*o + 5. Give u(j(d)).
30*d**2 + 480*d + 1920
Let r(l) = -35*l**2. Let w(a) = 59*a - 23*a + 69*a**2 - 20*a - 16*a. Calculate w(r(y)).
84525*y**4
Let b(a) = 8272567*a**2. Let d(u) = 3*u**2. Calculate b(d(s)).
74453103*s**4
Let a(b) be the first derivative of -27*b**2/2 - 6796. Let s(m) be the first derivative of -m**2/2 + 1. Calculate s(a(x)).
27*x
Let f(x) = -116*x + 457*x - 171*x - 1 - 165*x. Let u(w) = 176*w**2. Calculate f(u(l)).
880*l**2 - 1
Let l(r) = -r. Let u(h) be the first derivative of -245*h**3 - 1088. What is u(l(x))?
-735*x
|
{
"pile_set_name": "DM Mathematics"
}
|
e the first derivative of t**3 + t**2 + 2*t - 148. Calculate n(-2).
10
Let u(i) = -i + 1. Let z(a) = -a + 8. Let j be z(2). Suppose 4*n + b + j + 0 = 0, -2*b - 6 = 5*n. Calculate u(n).
3
Let p(h) = -h**2 + h - 1. Suppose 3*w - 4*v = 117, -2*v = -4*w + 205 - 39. Let q = w - 42. Determine p(q).
-1
Let m = 65 + -55. Let f be ((-4)/m)/(29/(-10) - -3). Let v(q) = -q**3 - 4*q**2 + q + 4. Determine v(f).
0
Let s(z) = -2*z - 6. Let u = -37 - -47. Let g be (1 + 0)/(u/(-70)). What is s(g)?
8
Let f(x) = -x**3 + 3*x**2 - 3*x + 3. Let n be -5 + -4*1/(-1). Let q(o) = -o**2. Let d(h) = n*f(h) + 2*q(h). What is d(4)?
-7
Let v(k) be the third derivative of k**6/120 - k**5/20 + k**4/6 - 241*k**2. Determine v(5).
70
Let v(p) = p**2 + 7*p + 8. Let n be v(-6). Let t(h) be the first derivative of -2*h**3/3 + h**2 - 12. Give t(n).
-4
Let g(h) = 7*h**3 + h**2 - h + 1. Let z be g(3). Let i be z/12 - (-2)/(-6). Let s = -9 + i. Let p(k) = -k + 7. Give p(s).
0
Let f(d) = -84*d**3 + 20*d - 17. Let o(x) = -29*x**3 + 7*x - 6. Let w(n) = -6*f(n) + 17*o(n). Suppose 3*u = 5*s - 7, s + 5*u = 2*s - 19. Give w(s).
-10
Let j(i) be the third derivative of -1/60*i**5 - 1/8*i**4 - 20*i**2 + 0 + 0*i - 1/6*i**3. Let q(t) = t**3 - 5*t**2 + t - 6. Let w be q(5). Determine j(w).
1
Suppose -3*k = -2*z - z - 24, 12 = -2*z - 2*k. Let f(r) = r**2 + 6*r. Calculate f(z).
7
Let f be (-184)/44 + 10/55. Let y(t) be the second derivative of t**3/2 + 2*t**2 + t. What is y(f)?
-8
Let t(w) be the second derivative of -w**6/120 - w**5/40 + w**4/8 + w**3/3 + 3*w. Let y(u) be the second derivative of t(u). What is y(2)?
-15
Let l(y) = -y**2 + y**2 - 3*y + 3*y**2 + 4 + 2*y**2 + y**2 - y**3. Suppose 0 = 2*k - 0*k - 10. What is l(k)?
14
Let c(f) = f. Let b(v) = v**2 + 8*v - 7. Let p(t) = 2*b(t) - 2*c(t). Let m(s) = s**2 + 7*s - 7. Let y(l) = -5*m(l) + 2*p(l). Calculate y(-6).
13
Let v be (3/1)/((-18)/24). Let g(r) = -5*r + 9. Let n(u) = -u. Suppose 0 = -5*i + 1 - 6. Let j(x) = i*g(x) + 6*n(x). Determine j(v).
-5
Let g(a) = 3*a + 304 - 5*a**2 - 301 + 10*a**2. Give g(3).
57
Let n be 9/6 + 6/4. Suppose -5 = -n*d + 10. Let v(f) = 0*f + 10*f**2 - f + d*f**2 - 7*f**2. Give v(1).
7
Let v(m) = -3*m + 2. Let q(s) = -4*s. Let r(i) = -2*q(i) + 3*v(i). Determine r(8).
-2
Let j(t) be the first derivative of t**4/4 - 4*t**3 + t**2 + 2*t - 289. Calculate j(12).
26
Let d(y) = -9*y**2 + 396*y - 14 - y**3 - 388*y + 2. Determine d(-10).
8
Let r(s) = 32*s + 10. Let z(b) = 2*b + 1. Let m(i) = -r(i) + 10*z(i). Calculate m(-1).
12
Suppose 4*o + 11*k - 9*k - 14 = 0, 2*k = -2*o + 6. Let f(a) = -a**2 + a + 3. Give f(o).
-9
Let k = -16 - -6. Let c = -6 - k. Let y = 6 - c. Let w(o) = 3*o**3 - 2*o**2 - o. What is w(y)?
14
Let v = -103 + 106. Let m(g) = 7*g**2 + 3*g. Let y(j) = -6*j**2 - 3*j. Let f(d) = -d**2 + 6*d + 4. Let s be f(6). Let i(w) = s*y(w) + v*m(w). Determine i(-2).
-6
Let u = 44 - 527/12. Let k(r) be the second derivative of 0 + u*r**4 + 0*r**2 - 3*r + 0*r**3 - 1/20*r**5. Calculate k(2).
-4
Let n be (1 + (-92)/20)*90/27. Let l(m) = 2*m**2 + 23*m - 5. Calculate l(n).
7
Let f(w) = w - 6. Let t be ((-15)/3)/(50/(-60)). Calculate f(t).
0
Let j(x) = -3*x + 0 + 6*x + 2. Suppose 2*h + 0*h = 0. Let w(b) = -2*b - 5. Let u be w(h). Give j(u).
-13
Let s be 2/(-1) + (-9)/(-3). Let y(c) = -2*c + s - 10 + c - c. Give y(-10).
11
Let j(z) = z**2 - 5*z - 2. Let h(a) = a + 6. Let d = 40 - 40. Suppose d = 4*l + s + 8, 2*l + l + 6 = -3*s. Let m be h(l). Give j(m).
-6
Let a(z) = -z**3 - z**2 + z. Let y(w) = -w**3 + w. Let h(t) = 3*t**3 - t**2 - 6*t - 5. Let s(b) = -h(b) - y(b). Let k(v) = 3*a(v) - s(v). Give k(-4).
3
Suppose 7*f - 70 = 2*f. Let h be f*((-20)/(-8) - 3). Let d(r) = r**2 + 8*r + 6. Give d(h).
-1
Let o(r) = r**2 + 11*r + 24. Let y = 552 - 559. Calculate o(y).
-4
Let j(r) = r**3 + 5*r**2 + 9*r - 11. Let q(b) = b**3 + 5*b**2 + 10*b - 14. Let x(s) = 5*j(s) - 4*q(s). Calculate x
|
{
"pile_set_name": "DM Mathematics"
}
|
econd derivative of f**6/720 + f**5/120 + f**4/6 - f. Let u(y) be the third derivative of m(y). Let l be (-4)/6*(-4 + -2). Give u(l).
5
Let i(z) be the third derivative of -z**6/120 - z**5/10 - z**4/6 + z**3/6 + z**2. Give i(-5).
-4
Let i(q) = -q**2 + q - 1. Let u be 4/6 + (-2)/3. Let x be 4/(-12)*-3 - u. Determine i(x).
-1
Let s(b) = b**2 - b. Let g = 3 + -2. Let f(r) = 2*r**3 - r. Let j be f(-1). Let p = g + j. Give s(p).
0
Suppose -4*n = -8*n + 8. Let d(p) = -p**n - 1 + 1 - 2. Suppose 2*y + 0*y = 4. Determine d(y).
-6
Let r(j) = -j**2 + 3*j + 8. Let s = -23 + 29. Determine r(s).
-10
Let u(r) = r**3 + 6*r**2 + r - 5. Let b(v) = -v - 29. Let o be b(-24). Determine u(o).
15
Let g = 0 + 1. Let x(n) = -3 + 2*n**3 - n - g + 5. Give x(1).
2
Let w(j) = -5*j**2 + 2*j + 1. Suppose 0*s + 3*s + 3 = 0. Give w(s).
-6
Let l(z) = 2*z - 2. Let r(x) = -x**3 + 4*x**2 + 4*x + 4. Let c be r(4). Suppose -4*y + 2*y = -c. Suppose 0 = 7*o - 2*o + y. Calculate l(o).
-6
Let a(i) = i**3 - 6*i**2 + 6*i - 3. Let w be a(5). Suppose 2*m = d + w - 0, -3*m = -3*d. Let x(y) = -2*y - 2. What is x(d)?
-6
Let h(u) = -3*u - 11. Let q(t) = t + 4. Let c(v) = 2*h(v) + 7*q(v). Suppose -b - 2*b = 3*o + 3, o - 3*b + 17 = 0. Calculate c(o).
1
Let m(h) = -h**3 + 3*h**2 - 3*h + 1. Let r be m(2). Let p(x) = x**3 - x**2 - 5*x + 3. Let u be p(3). Let n(b) = u + b**2 + 2*b - 2 - 2*b**2 - 3. What is n(r)?
-2
Let h = -16 - -11. Let u(i) = i**3 + 4*i**2 - 3*i + 5. Give u(h).
-5
Let f(n) = 0 + 3 + 3*n + 4 - n - n**2. Suppose -3*t + 3*g + 18 = -0*g, 5*t - 20 = -5*g. Determine f(t).
-8
Let y(j) = 7*j + 2. Let t be y(2). Suppose -2*o + 2*k = o - t, 4*o = 5*k + 26. Let d(z) = -7*z + 5 + 2*z + 3*z**2 - 2*z**2. Determine d(o).
1
Let u(h) be the second derivative of 0 + 0*h**2 + 1/24*h**4 - 1/6*h**3 + h + 1/120*h**5. Let b(i) be the second derivative of u(i). Determine b(3).
4
Let t be ((-4)/3)/((-4)/6). Let u(m) = 2 - t + 1 + m. Let d = -8 + 5. Determine u(d).
-2
Let t(n) = -n**2 + 11*n + 21. Let g be t(13). Let m(o) = o + 7. Determine m(g).
2
Let z = -35 + 22. Let x = z + 8. Let d(h) = -3 + h**3 + 14 - 3*h**2 - 3*h + 7*h**2 - 8. Give d(x).
-7
Let a be 21/12*12/(-3). Let z(b) = -b**2 - 6*b + 10. Calculate z(a).
3
Let c(y) be the second derivative of -y**3/6 - 5*y**2 + 2*y. Suppose -6*j = -10*j. Give c(j).
-10
Let m(p) = -p**2 - 5*p. Suppose f = 3*n + 14 - 5, -4*f + 4*n = 4. Let b be (-2)/(-1)*f/3. Give m(b).
4
Let d(j) be the third derivative of -j**6/360 - 7*j**5/120 - j**4/4 + 2*j**3/3 + 5*j**2. Let q(i) be the first derivative of d(i). Determine q(-6).
0
Let q = 71 - 76. Let i(n) = -n**2 - 5*n + 2. Calculate i(q).
2
Let y(s) = -2*s - 2. Let d be y(-2). Let x(u) = u - 3. Determine x(d).
-1
Let k be 3/(-3)*2/2. Let x(i) = -3 - 7*i**3 + 3. Let l(o) = 36*o**3. Let z(n) = 2*l(n) + 11*x(n). Give z(k).
5
Let l(g) be the second derivative of g**2 + 0 - 1/60*g**5 + 2*g + 1/24*g**4 - 1/3*g**3 - 1/120*g**6. Let p(a) be the first derivative of l(a). Calculate p(-2).
0
Suppose -5*a = -2*h - 13, -2*h = 2*a - 7*h - 1. Let y(p) be the first derivative of 0*p - 4 - 3/2*p**4 + 0*p**2 - 1/3*p**a. Determine y(-1).
5
Suppose -2*w = 2*w. Suppose 1 - 3 = -2*a. Let k(o) = 2*o - 3*o + a + 0. What is k(w)?
1
Let a(m) = -5*m. Let v = -3 - -4. Suppose i - v + 0 = 0. Suppose -5 + i = -4*f. Give a(f).
-5
Let u(v) be the first derivative of -2*v**2 - 2*v + 9. Calculate u(-4).
14
Let g(t) = t**2 + t - 6. Suppose b = -3 - 0. Let p be (-1)/(-1 - 0) + b. Let w be (1 - 0) + 1 + p. Calculate g(w).
-6
Let b(j) = 8*j - 9. Let o(p) = -7*p + 8. Let m(y) = -6*b(y) - 7*o(y). Determine m(-6).
-8
Let v(d) = -d**3 - 13*d**2 + 15*d + 19. Let t be v(-14). Let m(f) = 4*f + t*f + 5 - 5*f**2 + 6*f**2 - 3*f. What is m(-4)?
-3
Let f(i) = i**2 + 4*i + 1. Suppose -1 - 8 = 3*t. Give f(t).
-2
Let z(a) = a**2 - 4*a - 1. Let d = -2 + 4. Let f = d - 4. Let l be (f/5)/((-4)/40). Calculate z(l).
-1
Let o(d) = 2*d**2 + d. Let m be o(-5). Suppose -4*s - 5*g + m = 0, s +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*w = 0 for w.
0
Suppose 12 = 5*k - 2*l + 3*l, -9 = 3*l. Suppose -o + 0 + k = 0. Solve 4 = -v + o*v for v.
2
Let x be 2/30*5*12. Solve 7*a - x*a = 3 for a.
1
Suppose 3*y + s = 3*s + 27, -5*y + s + 45 = 0. Solve r + 4 = y for r.
5
Suppose -5*h = -0*h - 10. Let t(q) = -q + 6 + h*q**2 - 6*q + q + 0*q. Let a be t(4). Solve 5*y - a = 1 for y.
3
Let d(q) be the first derivative of 3*q**2/2 - 6*q + 3. Let t be d(4). Solve -2*m + t*m = 0 for m.
0
Suppose 2*i - 10 = -2*z + 8, -46 = -4*i + z. Solve -5*a - 1 = -i for a.
2
Suppose 2*l = -2*l + 36. Solve 2*x = l - 1 for x.
4
Let c(r) = -r**3 + 2*r**2 + r + 3. Let y be c(2). Suppose -5*z + 5 = 2*o - 6, -y*o = -3*z - 12. Solve 0 - 3 = o*j for j.
-1
Let o be (-224)/(-36) - 4/18. Let d = 5 + -1. Let v(q) = 2*q - 5. Let i be v(d). Solve i*t - t = -o for t.
-3
Suppose -5*m - 85 = -3*g, -4*g - 5*m - 21 + 111 = 0. Let w be (6 + -5)/((-2)/26). Let u = g + w. Solve -7*c + 3*c + u = 0 for c.
3
Suppose 2 = 2*c, -x - 4*x = -5*c - 5. Suppose q = 3*q. Suppose q = -4*k - m + 78, x*k - 5*m - 22 = 28. Solve -4*u = -9*u + k for u.
4
Let f be 0 + -4*-1*1. Let h(q) = 4*q**3 - 5*q**2 + 5*q - 8. Let c(a) = a**3 - a**2 + a - 1. Let i(m) = 5*c(m) - h(m). Let v be i(0). Solve f = v*d + 13 for d.
-3
Let f be (-4 + 0)/(24/(-12)). Solve -4 - 2 = -f*q for q.
3
Let y(z) = 2*z**2 - 1. Let q be y(2). Suppose -3*r - 5*a = -13, q*r - 4*r - 19 = a. Suppose -3*w + 5 = -2*s, 4*w + 3*s = w. Solve -g - w = -r for g.
5
Suppose -7*s + 14 + 7 = 0. Solve 2*t = 3 + s for t.
3
Suppose -u = 6 - 7. Let k(d) = d + 2. Let n be k(-2). Solve u = -q - n for q.
-1
Let m = 15 + -8. Let p = -3 - -17. Suppose 0 = -w - 3*c + p, -4*c + 17 = 3*w - 2*w. Solve m = w*u - 3 for u.
2
Let u be ((-1)/2)/((-7)/(-84)). Let l(v) = v**3 + 6*v**2 - v - 4. Let h be l(u). Solve 2*m = -h*m for m.
0
Let j be 12*2*(-1)/(-2). Suppose q - 5*q - j = 0. Let g = q + 6. Solve 2*f = g*f - 4 for f.
4
Let u = -36 - -42. Solve y + 2 - u = 0 for y.
4
Let h(k) = -k**2 + k. Let d = 0 - -1. Let u be h(d). Solve u = -4*c + 5*c + 1 for c.
-1
Let t(w) = w. Let n be t(2). Suppose 3*g - 17 = -o + 6*o, -o - 1 = 0. Solve g*j - n - 6 = 0 for j.
2
Let i be 12/8*8/3. Solve -3 = -v - i for v.
-1
Suppose -56 = -2*g - 10. Suppose -3*d + 2*o = -0*d - 1, 5*o = -d + g. Solve -q + 0 + d = 0 for q.
3
Suppose 5*r - 1 = 2*r - x, 2*r = x + 9. Let u(g) = g + 8. Let c be u(-8). Let n be c/1 - (0 + -2). Solve n = -r*w - 4 for w.
-3
Suppose 4*l = -2 + 42. Let m = 10 - l. Solve m = r - 5*r - 16 for r.
-4
Suppose 0 = 5*l - 7*l + 2. Solve -4*v + 7 + l = 0 for v.
2
Suppose a = -0*a + 64. Let j = a + -44. Solve -j = -3*o - 2*o for o.
4
Suppose y = -0*y + 18. Suppose -5*i + y = -7. Suppose 10 = 5*c - i. Solve -7 + c = -2*f for f.
2
Let q(h) = -h**3 - h**2 + 1. Let v(m) = 2*m**3 + m + 1. Let p(b) = q(b) + v(b). Let o be p(0). Solve -k + o*k = 2 for k.
2
Let r = -1 + 5. Suppose -3*s + r = s. Solve -2*l - 9 = -s for l.
-4
Let m = -22 + 27. Solve -m = 6*j - j for j.
-1
Suppose 0 = -9*h + 7*h + 3*j + 27, 10 = 5*h + 4*j. Solve 3*v - 9 = h*v for v.
-3
Let q(u) = 6*u - 38. Let f be q(8). Solve -6*g = -11*g - f for g.
-2
Suppose 0 = -3*t + 15, -4*y + 5*t = 57 + 16. Let k be y + 9 + (0 - -9). Let x = k - 6. Solve -6*v + v + 15 = x for v.
3
Let y = -22 - -4. Let r = y - -24. Solve r*j = j + 10 for j.
2
Let c(t) = t**2 - 7*t + 7. Let w be c(6). Let l be w + 2/(-5)*-5. Solve l*q + 2 = -1 for q.
-1
Suppose -23*b = -28*b + 25. Solve b*v + 0 = -15 for v.
-3
Let y(b) = -2 + 2 + 4*b**2 + b. Let n be y(1). Let f(z) = z**2 - z - 2. Let k be f(-2). Solve k*g - 7 = n for g.
3
Let n be (-8)/((-48)/18) + 0/(-2). Solve c + 4 = n for c.
-1
Suppose 3*y + y = -28. Let z = 9 - -3. Let u = z + y. Solve u*v + 4 = 19 for v.
3
Let y(d) = -4 + 4*d**2 - 2*d + 0*d + 2 + 0*d. Let u be y(-1). Solve n + u = 1 for n.
-3
Let q = -24 + 24. Solve -4*k + 7 + 5 = q for k.
3
Let h = 23 - 13. Let o(f) = f**3 + 12*f**2 + 10*f - 8. Let a be o(-11). Suppose a*m + 2*j - 6 = -2*j, -3*m = 5*j - 3. Solve h
|
{
"pile_set_name": "DM Mathematics"
}
|
t derivative of -21641*n**4 + 38107 wrt n.
-86564*n**3
What is the third derivative of -12*b*j**4 + 366*b*j**3 + 35940*b*j**2 - 5*b*j + 2*j**4 - 4*j**3 wrt j?
-288*b*j + 2196*b + 48*j - 24
Find the first derivative of p**3 - 31857*p**2 + 140713.
3*p**2 - 63714*p
What is the third derivative of -2*w**6 - 6*w**5 - 550*w**4 - 3*w**2 - 40 wrt w?
-240*w**3 - 360*w**2 - 13200*w
What is the second derivative of -195664*w**2 + 202488*w wrt w?
-391328
What is the third derivative of 2321015*g**6 + 23*g**2 + 87*g - 121?
278521800*g**3
Find the third derivative of 2*c*g*m**3 + 16*c*g - 2*c*m**3 - 3*c*m + 116*g*m**3 + 2*g*m**2 + 2*g + 3*m**3 wrt m.
12*c*g - 12*c + 696*g + 18
Differentiate -5*h**2*s - h**2 + 66*h*s + h + 35624*s wrt h.
-10*h*s - 2*h + 66*s + 1
Find the first derivative of -10*v**3 + 674*v**2 - 11*v - 2706761 wrt v.
-30*v**2 + 1348*v - 11
Find the third derivative of 1999778*f**4 - 2635631*f**2.
47994672*f
Find the second derivative of -50062*u**2 - u + 465.
-100124
Find the third derivative of -26790*h**3 + 4303*h**2 + 5*h.
-160740
What is the second derivative of 159654*k**2 - 557156*k wrt k?
319308
Find the second derivative of 12747*p**2*s**3 + 2*p**2*s - 2*p*s**5 - 1612*p + 4*s - 1 wrt s.
76482*p**2*s - 40*p*s**3
Find the second derivative of 1787848*t**3 + 2*t - 144437.
10727088*t
Find the second derivative of 7*t**4 + 2*t**3 + 1055*t**2 + 2105*t - 1.
84*t**2 + 12*t + 2110
What is the second derivative of 22568*f**3 - 9*f**2 + 419767*f?
135408*f - 18
Find the second derivative of -y**4 + 2*y**3 - 45123*y**2 - 158*y - 101.
-12*y**2 + 12*y - 90246
Differentiate 1441*a**2*z**2 + 1380089*a**2 - a*z**2 + 5*a*z - 4*z with respect to z.
2882*a**2*z - 2*a*z + 5*a - 4
Differentiate -2*y**4*z**2 + 184323*y**4*z + 2*z**2 - 204324*z - 1 with respect to y.
-8*y**3*z**2 + 737292*y**3*z
Find the second derivative of 2*b**2*w**3 + 4*b**2*w + 6051*b**2 + 379*b*w**2 - 3*w**3 - 2*w**2 - 2 wrt b.
4*w**3 + 8*w + 12102
What is the second derivative of 107701*c**2 - 156367*c wrt c?
215402
Find the second derivative of -4*f*u**3 + f - 10*u**4 + 165*u**3 + 20753*u wrt u.
-24*f*u - 120*u**2 + 990*u
Find the third derivative of -39884*t**3 + 1766*t**2 + 4*t + 2.
-239304
Find the third derivative of 8029*w**5 + 3*w**3 + 10551*w**2 - 2*w + 2 wrt w.
481740*w**2 + 18
Find the third derivative of -1050728*s**5 - 25631*s**2 + 3 wrt s.
-63043680*s**2
Find the second derivative of 2*d**2*n + 3*d**2*x**2 - 683*d**2 + 4*d*n*x**2 + 47*d*n*x + 15*d*n - 5*n*x**2 - x**2 wrt d.
4*n + 6*x**2 - 1366
Find the second derivative of 11295*s**4 + 3*s**3 - s**2 + 173*s + 237.
135540*s**2 + 18*s - 2
Differentiate 2373*p - 45816 wrt p.
2373
What is the derivative of 233438*y + 28940 wrt y?
233438
Find the second derivative of -b**2*g**3 - 10503*b**2*g**2*k**3 + b*g**3*k**3 + 3*b*g**3*k + 54*b*g*k + 4*g**3*k**3 wrt b.
-2*g**3 - 21006*g**2*k**3
Find the third derivative of 14*d**3*l**3*u - 17108*d**3*l**2*u - d**2*l**3 - d**2*l**2*u - 158*d*l**2 + 2*l**3 - 107*u wrt d.
84*l**3*u - 102648*l**2*u
What is the second derivative of 123227*f**2 - 2*f + 271370?
246454
Differentiate 1504169*c - 134781 wrt c.
1504169
Find the first derivative of -2671*k**3*s**2 + 38031*k**3 - 3*k**2*s**4 wrt s.
-5342*k**3*s - 12*k**2*s**3
What is the third derivative of -8*b**2*p**4 - 537*b**2*p**3 - 693*b**2*p**2 + 10*b**2 wrt p?
-192*b**2*p - 3222*b**2
Find the third derivative of -294708*b**5 + 8619*b**2 wrt b.
-17682480*b**2
What is the second derivative of 10*p**2*z**3 + 17*p**2*z**2 - 66445*p**2*z + p**2 - 90*p*z**3 - z + 1 wrt z?
60*p**2*z + 34*p**2 - 540*p*z
Find the second derivative of 1717*t**4*z - 18*t**3*y + 244*t*y*z + 195*t*y + 6*t*z wrt t.
20604*t**2*z - 108*t*y
Find the second derivative of -223*n**5 - 655*n**3 - 3*n - 1135 wrt n.
-4460*n**3 - 3930*n
What is the second derivative of -1199576*s**2 - 1046955*s wrt s?
-2399152
Differentiate 131*o**2*p + 2*o*p**2 + 337*o - 2*p**2 - 11*p - 1312 wrt o.
262*o*p + 2*p**2 + 337
Find the second derivative of -58378*f**2 - 54*f + 5 wrt f.
-116756
Differentiate -k*z**2 - 3*k*z - 37755*k - 672993*z**2 with respect to k.
-z**2 - 3*z - 37755
What is the second derivative of -178*g**4 - 3405*g**3 - 1557936*g?
-2136*g**2 - 20430*g
What is the second derivative of a*u**2 + a*u + 57843*u**2 - 2*u - 161 wrt u?
2*a
|
{
"pile_set_name": "DM Mathematics"
}
|
1.216006
What is -0.1 plus 0.07941?
-0.02059
Total of 0.68 and 0.1.
0.78
Calculate -0.1 - 43104.
-43104.1
What is 5738 less than -4?
-5742
Add together -22.246 and 4.
-18.246
Subtract 2.3 from -73.
-75.3
What is the difference between -25 and -0.025?
24.975
What is 2423 less than -802?
-3225
Calculate 0.85 + 0.01994.
0.86994
0.8 + 390
390.8
-0.0615001 + 0.5
0.4384999
What is 19 + -2.505?
16.495
What is -0.4 + 0.63?
0.23
What is 1935 - -0.5?
1935.5
Work out 1310 - 0.4.
1309.6
Sum -4.16 and -5.
-9.16
What is 0.23 less than -520?
-520.23
What is -0.5 - 0.034313?
-0.534313
Add together -1 and 128.
127
Total of -3.3 and 108.85.
105.55
What is 2174361 + -0.3?
2174360.7
What is -56348 - 12?
-56360
Total of 0.06 and 1241.9.
1241.96
Calculate -0.27 + -113.
-113.27
-3 + 299962
299959
Calculate 14.62 - 0.2.
14.42
Total of -662 and -2.2.
-664.2
Add together 17 and 0.06775.
17.06775
72+-151
-79
Calculate -0.12694 + -32.
-32.12694
Calculate -1 - -831.
830
What is -2723 - 0.4?
-2723.4
What is -0.5 - -2500?
2499.5
Total of -9.5 and 0.0156.
-9.4844
Add -661 and 2.
-659
What is the difference between 1.09 and 113?
111.91
Work out 0.42 + -75.
-74.58
-0.3+0.474
0.174
-2133 - -0.2
-2132.8
What is -0.11 + -556.7?
-556.81
What is the distance between -9.9 and -856?
846.1
Work out 312 + -2.3.
309.7
-0.1+1.27
1.17
Subtract -6 from -1712.
-1706
Add -19165 and -0.3.
-19165.3
What is the distance between 10977 and -0.3?
10977.3
Work out -1563 - 46.
-1609
Add -5.93 and 749.
743.07
Subtract -3 from -5873.53.
-5870.53
What is 2657852 less than -0.8?
-2657852.8
Work out -0.3 - -13956.
13955.7
What is -1 take away -691?
690
Calculate 0.1 - -0.201461.
0.301461
What is -0.03665 take away -2?
1.96335
What is -0.1 less than 52.5108?
52.6108
Subtract 0.41 from 2.7.
2.29
Subtract -1460 from 0.3.
1460.3
-0.05 - 43.71
-43.76
What is -0.4 + 866785?
866784.6
What is -4.9 less than -4999?
-4994.1
-0.5 - -1193
1192.5
What is 37.9 less than 112?
74.1
Add together -564.2 and -0.9.
-565.1
Work out 31.852478 - -0.4.
32.252478
What is 53.7 plus 11.09?
64.79
Calculate -102.21 - -0.06.
-102.15
Calculate -124260 + 1.3.
-124258.7
Calculate -32.32 - 0.14.
-32.46
Calculate -0.61 + 0.53188.
-0.07812
Work out 0.3 - 547.
-546.7
Sum 5 and -3907.
-3902
Calculate -15042896 - -1.
-15042895
Put together 1 and 2573.
2574
What is -0.01 minus 2.7088?
-2.7188
What is 0.005 take away 6.26?
-6.255
What is -988.9 take away 1?
-989.9
2898 - 0.07
2897.93
What is the difference between -0.3 and -0.1872?
0.1128
What is 2 take away -5547.4?
5549.4
Work out -4 - 183696.
-183700
-5.9 + 2.546
-3.354
What is 2109 less than -0.5?
-2109.5
Add -2.2 and 122646.
122643.8
What is 19319 plus -0.274?
19318.726
What is 47 - 2687?
-2640
Add -0.6492 and 715.
714.3508
What is the distance between 1.8 and -1.53?
3.33
Work out 0.0425 + -1.03.
-0.9875
Calculate 0.07 + -0.057.
0.013
Put together -420 and 0.326.
-419.674
Add -3908 and 0.045.
-3907.955
Total of -11.94 and -0.02.
-11.96
What is -4.7 take away 2.29?
-6.99
Calculate 0.06 - 2491.
-2490.94
What is 6 take away 57?
-51
Add -100.67 and 1.
-99.67
Subtract -493 from -3.
490
Subtract 25243.7 from -41.
-25284.7
Put together -0.5 and -3079.78.
-3080.28
What is 0.139 minus -16?
16.139
3.138 + 2
5.138
What is 34.522 take away -1?
35.522
Work out -2817 - 0.26.
-2817.26
What is -5.83912 - 2?
-7.83912
9.22 - 0.283
8.937
0.01 + 0.5
0.51
Put together -7.6 and 32.
24.4
10 + 168.406
178.406
Calculate -2486.9 + -4.
-2490.9
Put together 55 and 790.
845
What is -0.117 - 3?
-3.117
What is the distance between -0.646 and -0.8?
0.154
What is 0 less than 0.05633?
0.05633
Work out -0.153 - -3468.
3467.847
Add together 0.73 and -0.02002.
0.70998
0.5 - 1773
-1772.5
-5.6+-0.154
-5.754
Add -2 and -2.281.
-4.281
Total of -0.145 and -0.32.
-0.465
Work out 5537.59 - -5.
5542.59
Calculate -1.212 + -0.06.
-1.272
What is -0.0544 take away 0.62?
-0.6744
What is 236640 + 0.09?
236640.09
What is -0.1156 minus 0.5?
-0.6156
Sum 0.2 and 583.
583.2
Work out -3506.3 - -9.
-3497.3
What is -17 + 0.14?
-16.86
What is -27246 - 18?
-27264
Put together 1467 and 1.
1468
Add -0.191 and 6.
5.809
What is 1.1 plus 304?
305.1
What is the difference between 34 and 1510?
1476
Total
|
{
"pile_set_name": "DM Mathematics"
}
|
-19219?
-19219
Which is the third biggest value? (a) -1.1 (b) -566 (c) -2 (d) -14
d
Which is the fourth smallest value? (a) -16/7 (b) 2408 (c) 3 (d) 0.06 (e) -33
c
What is the second smallest value in 1/4, -2839123, -0.1, -0.4?
-0.4
Which is the third smallest value? (a) -3 (b) -205920 (c) 46
c
What is the third biggest value in -5, 0.096570848, 6?
-5
What is the third biggest value in 3, 1/9, -1.26421, 17?
1/9
What is the biggest value in -125/2, -2/3, 128, 6.65?
128
Which is the smallest value? (a) -4/7 (b) -10 (c) 18 (d) 639126
b
What is the seventh biggest value in 60, -5, 1, -267.9, -0.2, 4, -21?
-267.9
Which is the smallest value? (a) 3/4 (b) 263102 (c) 121
a
What is the second biggest value in 44314, -0.19, 2/5, 5?
5
What is the second smallest value in 3/3257, 1.796, -2?
3/3257
What is the second smallest value in -842476, -5, -14/37?
-5
Which is the second biggest value? (a) -2 (b) 6/17 (c) -70841 (d) -4
a
Which is the smallest value? (a) -446067 (b) -1 (c) -0.5
a
Which is the sixth biggest value? (a) 5 (b) -79 (c) 1/4 (d) -5 (e) 3 (f) 3110
b
Which is the second smallest value? (a) 5/59 (b) 6 (c) 0.4 (d) -8/161
a
Which is the second biggest value? (a) -6840 (b) -119 (c) 3 (d) -5 (e) -6 (f) 1/6 (g) 0.5
g
Which is the third biggest value? (a) -2 (b) -16822 (c) 11 (d) -4 (e) 0 (f) 3
e
Which is the smallest value? (a) -86 (b) 2 (c) 36105 (d) -2
a
What is the third smallest value in -3043, 120, 63/4?
120
Which is the fifth smallest value? (a) -101 (b) -2/5 (c) -1 (d) -877 (e) -5 (f) -1.2
c
Which is the seventh smallest value? (a) -4/3 (b) -2 (c) 23 (d) 0.1 (e) -4/5 (f) -266 (g) -4
c
Which is the third biggest value? (a) -18/31 (b) -1 (c) -1/112915
b
What is the second smallest value in 2, -0.06, 0.12, -1.3, 770/9, -3?
-1.3
Which is the sixth biggest value? (a) 11/7 (b) 1/4 (c) -2 (d) 5 (e) -1/3 (f) 2
c
Which is the fourth smallest value? (a) 2/3 (b) 4 (c) -56174.4 (d) 9
d
Which is the third biggest value? (a) -3 (b) 0.1 (c) -479 (d) -128/13
d
What is the fourth smallest value in -4, -507/5, -1, -4.41?
-1
Which is the second biggest value? (a) 4 (b) 0.117 (c) -0.2 (d) -3 (e) -1/3 (f) 11 (g) 2/15
a
Which is the smallest value? (a) 5 (b) 2307 (c) -5 (d) -35 (e) -2/3 (f) 8 (g) 1/9
d
Which is the fourth biggest value? (a) -795 (b) 0.044 (c) 2/3 (d) 11 (e) 1/2
b
What is the third biggest value in -0.5, -0.1, 0.4, -5, 20, 1, 265?
1
What is the fifth biggest value in -18, 3, -1/9, 9, -0.01, 0.082?
-1/9
Which is the smallest value? (a) -0.4 (b) 2 (c) -19.2 (d) -4 (e) -0.2 (f) 5/33
c
Which is the smallest value? (a) -757 (b) -45 (c) -0.004
a
What is the biggest value in 4, 386, -0.4, 2/15, 109, 1/8, -4?
386
What is the third smallest value in -29, 147, -3, 187?
147
What is the fourth smallest value in 18, -4, -54663, -1/6, -0.5?
-1/6
Which is the second biggest value? (a) 16 (b) 43/2 (c) 376.67
b
What is the third smallest value in 5/3, 4, -9438, -0.5, 0?
0
What is the fourth smallest value in -226360, -0.5, 3/14, 1.8?
1.8
What is the smallest value in -0.23, -5, 21, -98/43, 1/3, 2/9?
-5
Which is the third biggest value? (a) 1/170 (b) -1.2 (c) 4 (d) -4.34 (e) 0.5 (f) 0
a
Which is the smallest value? (a) -0.128 (b) -0.1 (c) 5275 (d) -1/9
a
Which is the biggest value? (a) 1/5 (b) 26/3 (c) -1 (d) 66/5 (e) -0.101
d
Which is the second biggest value? (a) 73 (b) 1 (c) -1 (d) -39 (e) -47/3
b
Which is the third smallest value? (a) 2.73 (b) 53 (c) 0.5 (d) -4/105
a
What is the seventh smallest value in 0.15, 1/6, 9, 1/2, 2/19, 2, 3?
9
Which is the second smallest value? (a) -364 (b) -1.6 (c) -1053.4 (d) -2/5 (e) -0.5
a
Which is the second biggest value? (a) -2 (b) 2/13 (c) 2 (d) 1/784 (e) 0.21 (f) -3 (g) -4
e
What is the fourth smallest value in -0.16, -2/1319, 0.7, 3, -51?
0.7
Which is the second biggest value? (a) 1/7 (b) 3 (c) -0.4 (d) 859 (e) 889
d
Which is the third smallest value? (a) 5 (b) -1/6 (c) -9201 (d) -1689
b
What is the third biggest value in -5/6, -1.2, 1/5, 95, -3, 1/6?
1/6
What is the second smallest value in 77, 11/4, -3435?
11/4
What is the third biggest value in 0.15, -5, 0.3,
|
{
"pile_set_name": "DM Mathematics"
}
|
/(sqrt(32)*2) + -3.
-3 + sqrt(3)/4
Simplify 2*(-1*-2*sqrt(119))/(((sqrt(7) - ((sqrt(7) - sqrt(42)/sqrt(6)) + sqrt(7))) + sqrt(7))*4).
sqrt(17)
Simplify (((sqrt(17) - sqrt(68)/sqrt(4)*-4) + 4 + sqrt(187)/(-1*sqrt(11)) + 0)*2)**2.
128*sqrt(17) + 1152
Simplify (-5 + (sqrt(1088) + sqrt(1088)*3 + -4 - (sqrt(1088) - (-5 + sqrt(1088) + -5) - sqrt(1088))))**2.
-1520*sqrt(17) + 27561
Simplify (-5 + ((sqrt(363) - (sqrt(363) + 1) - sqrt(363)) + sqrt(363) - sqrt(363))*2 + 1 + (sqrt(363) - (sqrt(363) - (sqrt(363) + 1))) + 5)**2.
363
Simplify (sqrt(49)*-1)/sqrt(7)*-3*-5 + 0 + 5*(-1 + sqrt(7)*2).
-5*sqrt(7) - 5
Simplify -6*sqrt(3)*2*2 - (sqrt(48)*-3 + (sqrt(3) + -1*sqrt(432))**2).
-363 - 12*sqrt(3)
Simplify ((sqrt(110) + (2*sqrt(110) - sqrt(110)) + sqrt(110))*4 - (sqrt(110)*1*-5 + sqrt(110)))/(sqrt(1440)*2*5).
2*sqrt(11)/15
Simplify 5*1*((sqrt(70)*2)/sqrt(10) + -2*sqrt(7)*-1 + 5).
25 + 20*sqrt(7)
Simplify (3*sqrt(176) + -3)**2 - ((1 + sqrt(1100))**2 + sqrt(33)/(sqrt(3) + 2*sqrt(3))).
-277*sqrt(11)/3 + 492
Simplify -2*(-4 + sqrt(1053) + -2)**2 - ((sqrt(208)*-1 - sqrt(208)) + (sqrt(117)*2)/sqrt(9))**2*1.
-2646 + 216*sqrt(13)
Simplify ((sqrt(208)*6 - sqrt(39)/(-1*sqrt(3)))**2 + 5)*2*5.
81300
Simplify (sqrt(50)/(sqrt(2) + sqrt(2)*-3))/(sqrt(35)/(sqrt(7) + (3*sqrt(7) - sqrt(7)))).
-3*sqrt(5)/2
Simplify ((-2*(-2*sqrt(57) - sqrt(57)))/sqrt(3))**2 - (5 + (-2*sqrt(475))**2).
-1221
Simplify (-3*sqrt(400)*-2)/(((-2*sqrt(140))/sqrt(10))/sqrt(7)).
-30*sqrt(2)
Simplify (sqrt(14)/(1*sqrt(7)))**2*1 + sqrt(22)/(sqrt(11)*-1*-2).
sqrt(2)/2 + 2
Simplify ((sqrt(88)*3)/sqrt(4) + sqrt(22))/((sqrt(18) + sqrt(288))/sqrt(9)) + 4.
4*sqrt(11)/5 + 4
Simplify ((sqrt(114)*1)/sqrt(6) - sqrt(19)) + -5 + (-4*(sqrt(2299) + sqrt(2299) + sqrt(2299) + 1))**2.
1056*sqrt(19) + 331067
Simplify (-2 + sqrt(7) + (sqrt(7) - ((sqrt(63))**2 + sqrt(7))*-3) + sqrt(7))*2*-3*-2*3.
216*sqrt(7) + 6732
Simplify (sqrt(252)/sqrt(7)*-4*-3)/(sqrt(72)/((sqrt(432)/sqrt(9) + sqrt(48))/sqrt(8) - sqrt(6))).
12*sqrt(3)
Simplify (sqrt(162) + -1*sqrt(162)*-6)**2*5 - (sqrt(24) + (sqrt(24) + sqrt(24) + sqrt(288)/(sqrt(48)/sqrt(4)) - sqrt(24)))/(sqrt(192)/sqrt(4)).
-3*sqrt(2)/2 + 39690
Simplify (1*(-3 + 5*sqrt(468))*2)**2.
-720*sqrt(13) + 46836
Simplify ((((sqrt(77) - sqrt(77)*-2)*3)/sqrt(7))**2 + (3 + -4*2*sqrt(11))**2)*2.
-96*sqrt(11) + 3208
Simplify ((3*sqrt(825) - sqrt(825)) + sqrt(825))/(sqrt(3) + (sqrt(3) + sqrt(3) + 2*(sqrt(48) - sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(3) - sqrt(3)))*5.
75*sqrt(11)/8
Simplify (((sqrt(117) - (3*sqrt(117) - sqrt(117)))*-2)/sqrt(9) + 1*(sqrt(13) + sqrt(13) + -2) + sqrt(26)/sqrt(50))**2.
-84*sqrt(13)/5 + 5833/25
Simplify (-5*(sqrt(114) + sqrt(114) + -1*sqrt(114))*3)/((sqrt(528)/(sqrt(33)/sqrt(3)))/sqrt(8)).
-15*sqrt(19)
Simplify (-5*(0 + sqrt(1573) + sqrt(1573) - 5*sqrt(52)))**2*3.
140400
Simplify -3 + (1*sqrt(153))/sqrt(9) - (sqrt(17) + -1 + sqrt(17) + sqrt(17))*4*-6.
-27 + 73*sqrt(17)
Simplify -5*(sqrt(425) + (sqrt(425) + sqrt(425)*-3)**2 + sqrt(425))*-4 + 4 + 2*sqrt(425)*1.
210*sqrt(17) + 34004
Simplify sqrt(38)/(sqrt(6)/(sqrt(24)/sqrt(8))) - sqrt(95)/((3*sqrt(25) + sqrt(25))/sqrt(5)).
3*sqrt(19)/4
Simplify (-1*sqrt(3969))/(sqrt(847) - sqrt(847)*4) + 0.
3*sqrt(7)/11
Simplify (((sqrt(190) - -2*((2*sqrt(190) - sqrt(190)) + sqrt(190)))*4)/(6*2*sqrt(1440)))**2.
475/1296
Simplify sqrt(18)*-5 + 3 + ((sqrt(450) + (sqrt(450) - (-4*sqrt(450) - sqrt(450))))**2 - sqrt(450)) + -4.
-30*sqrt(2) + 22049
Simplify (((sqrt(112) + -1*sqrt(112) + sqrt(112))*3 + sqrt(112))/sqrt(8))/(sqrt(242)*1 + -2*sqrt(50)).
4*sqrt(7)
Simplify (sqrt(19) - (sqrt(19) - (1 + sqrt(19))))**2*-5 + sqrt(19) + -2 + (-1*(sqrt(1539)*-2 - sqrt(1539)))**2 + 4.
-9*sqrt(19) + 13753
Simplify (6*(sqrt(77) + (sqrt(77)*-3 - sqrt(77))))/(sqrt(847)*-2 + sqrt(847)).
18*sqrt(11)/11
Simplify (((2*sqrt(105) + sqrt(105))*5)/sqrt(5))/(sqrt(21)/(sqrt(12)/sqrt(4)) + sqrt(84)/sqrt(3)).
5*sqrt(3)
Simplify 2*(sqrt(11) + (sqrt(11) + (0 + sqrt(11))*1 - sqrt(11)))*6 - (3 + sqrt(1100) + 1 + -5)**2.
-1101 + 44*sqrt(11)
Simplify sqrt(12)/sqrt(4)*4 - -4*(sqrt(3) + -1) - (-5*(sqrt(108) - sqrt(12)))/sqrt(4).
-4 + 18*sqrt(3)
Simplify ((sqrt(2548)*-2 + -5)*1*-4)**2.
4480*sqrt(13) + 163472
Simplify (6*(-4 + -1 + sqrt(300) + -2 + (sqrt(300)*4 - sqrt(300))))**2 + 2.
-20160*sqrt(3) + 174566
Simplify 6*((sqrt(77) - 4*(sqrt(77) + 1*sqrt(77)))/(sqrt(252)/sqrt(4)))**2.
1078/3
Simplify (((sqrt(1700) + -1)*5*4)**2 + 0)*-1.
-680400 + 8000*sqrt(17)
Simplify 1*(-1*sqrt(90
|
{
"pile_set_name": "DM Mathematics"
}
|
est 100.
2400
Round -853.70403 to the nearest 100.
-900
Round -79688 to the nearest 10000.
-80000
Round -0.000725445 to six decimal places.
-0.000725
What is 0.00012948149 rounded to 5 dps?
0.00013
Round -69767.91 to the nearest 1000.
-70000
What is -3298678 rounded to the nearest 10000?
-3300000
What is -12.680476 rounded to three dps?
-12.68
What is -305326.8 rounded to the nearest one thousand?
-305000
What is -274654600 rounded to the nearest one hundred thousand?
-274700000
What is -2052640 rounded to the nearest one thousand?
-2053000
What is -0.0000090698734 rounded to seven dps?
-0.0000091
Round 424520800 to the nearest one hundred thousand.
424500000
Round 0.01100093 to 5 decimal places.
0.011
Round 8.9664739 to three decimal places.
8.966
Round -7740.2748 to the nearest one hundred.
-7700
Round -0.280853 to 3 decimal places.
-0.281
Round 57.76018 to 0 decimal places.
58
What is 0.000065828707 rounded to five dps?
0.00007
Round -4.1483148 to two dps.
-4.15
What is -0.069873651 rounded to 3 dps?
-0.07
Round -0.00000146384 to 7 decimal places.
-0.0000015
What is -89238.15 rounded to the nearest one hundred?
-89200
What is -680384100 rounded to the nearest 1000000?
-680000000
What is -0.12741552 rounded to three dps?
-0.127
Round 15151350 to the nearest one hundred thousand.
15200000
Round 173934.9 to the nearest ten thousand.
170000
Round 0.04645227 to three dps.
0.046
Round -0.008299428 to 5 dps.
-0.0083
Round 0.0202545 to three decimal places.
0.02
Round 0.00004393896 to 7 dps.
0.0000439
What is 0.000361837 rounded to six decimal places?
0.000362
Round -0.0000079878 to 6 decimal places.
-0.000008
What is -0.05217516 rounded to three dps?
-0.052
What is 1303.702 rounded to the nearest 10?
1300
What is -209.47177 rounded to zero dps?
-209
Round 0.199704 to 4 decimal places.
0.1997
What is -0.000017160664 rounded to 6 decimal places?
-0.000017
Round -0.002175407 to five decimal places.
-0.00218
Round -0.000000283098 to seven decimal places.
-0.0000003
What is 0.0003745207 rounded to 5 decimal places?
0.00037
Round -0.000001532893 to 6 dps.
-0.000002
Round -574219.39 to the nearest 10000.
-570000
Round 0.00137023 to 4 dps.
0.0014
Round -0.01223198 to 4 dps.
-0.0122
What is 0.046017011 rounded to 3 decimal places?
0.046
What is -9126770 rounded to the nearest 10000?
-9130000
What is 16115860 rounded to the nearest ten thousand?
16120000
Round -0.00000026831 to seven dps.
-0.0000003
Round -0.03325215 to four dps.
-0.0333
Round -70.3676 to the nearest ten.
-70
Round 24712.74 to the nearest 100.
24700
Round -0.0002479514 to 4 decimal places.
-0.0002
What is 1690172 rounded to the nearest 100000?
1700000
Round 0.00362808 to 5 dps.
0.00363
What is -0.00408043 rounded to 4 decimal places?
-0.0041
What is -59.3538 rounded to the nearest integer?
-59
What is 0.1204981 rounded to 4 dps?
0.1205
What is 609.318 rounded to the nearest 100?
600
Round 5507463 to the nearest 100000.
5500000
What is 0.354301 rounded to three decimal places?
0.354
Round -1133620 to the nearest 1000000.
-1000000
Round -38.9004 to the nearest integer.
-39
Round 0.07756129 to 4 dps.
0.0776
What is -10957800 rounded to the nearest 10000?
-10960000
Round -12807731 to the nearest 100000.
-12800000
Round -0.2646 to the nearest integer.
0
Round -0.0518297 to three dps.
-0.052
Round 12.732779 to one dp.
12.7
Round 2.542724 to 2 decimal places.
2.54
What is -11648.02 rounded to the nearest one hundred?
-11600
Round -174482000 to the nearest 1000000.
-174000000
What is -0.00345712 rounded to 4 dps?
-0.0035
What is 14.623843 rounded to 2 dps?
14.62
What is 0.0002993832 rounded to 6 dps?
0.000299
Round -0.00000054204 to six dps.
-0.000001
Round -31134.3 to the nearest ten thousand.
-30000
What is 941040 rounded to the nearest one hundred thousand?
900000
What is -0.00010113959 rounded to five dps?
-0.0001
Round -148456700 to the nearest 10000.
-148460000
Round 1403.5367 to the nearest one hundred.
1400
Round -0.06591046 to five decimal places.
-0.06591
What is -0.0098387057 rounded to 6 dps?
-0.009839
What is -273343.5 rounded to the nearest one hundred?
-273300
Round 0.0253 to 3 decimal places.
0.025
What is -5180331 rounded to the nearest 100000?
-5200000
What is 16616.78 rounded to the nearest 1000?
17000
What is -330429000 rounded to the nearest 1000000?
-330000000
What is 19118100 rounded to the nearest one hundred thousand?
19100000
What is -636941560 rounded to the nearest one million?
-637000000
Round -0.000252698 to four dps.
-0.0003
What is -145.5438 rounded to the nearest 10?
-150
What is -0.0006085081 rounded to 5 decimal places?
-0.00061
What is 10.07843 rounded to two dps?
10.08
What is -923.718 rounded to the nearest 100?
-900
Round -109.00155 to 1 dp.
-109
Round 1976.5 to the nearest 1000.
2000
Round -0.0704158 to two dps.
-0.07
Round -0.0003722124 to four dps.
-0.0004
Round 2244.34 to 0 decimal places.
2244
What is 0.5873707 rounded to 3 dps?
0.587
Round -121.6652 to the nearest integer.
-122
Round -114936 to the nearest 1000.
-115000
What is 3067.461 rounded to the nearest 1000?
3000
Round 39.3462 to the nearest 10.
40
Round -28507550 to the nearest one hundred thousand.
-28500000
What is 52694.595 rounded to the nearest one thousand?
53000
What is -1683536.4 rounded to the nearest 100000?
-1700000
What is -0.43804146 rounded to 3 dps?
-0.438
Round -0.0000044472682 to 7 dps.
-0.0000044
Round 0.00389541 to 4 decimal places.
0.0039
What is -0.5878763 rounded to one dp?
-0.6
What is 53.81176 rounded to the nearest ten?
50
What is -0.00000064867 rounded to 7 decimal places?
-0.0000006
What is -0.000695481 rounded to 4 dps?
-0.0007
What is 3890300 rounded to the nearest one million?
4000000
What is 3941818.6 rounded to the nearest one million?
4000000
What is -0.3669758 rounded to 4 dps?
-0.367
What is 1551412000 rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
0/15)?
6/17
What is (((3780/(-32))/(-9))/(3/38))/(1315/1052)?
133
What is (-49)/(-35035)*2365*13?
43
What is the value of -14*((-1)/(-6))/(3423/(-67482))?
46
Calculate (-2229)/5201*(-56)/(-6).
-4
Calculate 405/(-162)*((4/4)/15)/(25/(-240)).
8/5
What is the value of ((-4)/(-6))/((-23828)/483)*(-2)/1?
1/37
What is the value of (2457/(-1638)*1/(-6))/(5/(-940))?
-47
Evaluate 802620/(-17199)*(-6)/(-4).
-70
Calculate (154/(-49))/((2340/(-945))/(-13)).
-33/2
What is ((27/243)/((-4)/216*4))/((-99)/(-6))?
-1/11
What is the value of (-33*58/(-319))/(((-2)/22)/((-5)/(-15)))?
-22
What is (-3403*35/(-1435))/(((-16)/4)/(-4))?
83
Evaluate 12/20*900/(-756)*7.
-5
Evaluate (42/39)/((-577)/22503).
-42
What is the value of 277290/(-170640)*(-16)/(-2)?
-13
What is (18/(-3)*-3)/((-3)/(((-253)/11)/23))?
6
((-87)/((-485460)/62))/(1/12)
2/15
What is the value of (9/(-36))/((-9)/(-12))*243*7/1260?
-9/20
What is the value of 56*(-17)/(1156/(-85))?
70
What is the value of ((-651)/(-4092))/(22*3/264)?
7/11
Evaluate ((10/18)/((-1)/(405/(-90))))/(5/168).
84
What is the value of (((-145340)/15665)/(-172))/((-26)/(-4))?
2/241
What is the value of (((-4)/(-10))/(2/(-62)))/(-280*(-77)/13475)?
-31/4
What is 2*3/90*5*(-13)/((-1430)/150)?
5/11
What is 9*(3262/932)/(-3*2/4)?
-21
44/242*(-231)/(252/(-12))
2
(5/(-690))/(17*81/74358)
-9/23
What is -1*25/10*12616/830?
-38
Calculate -4*125/80*7*14/(-490).
5/4
What is the value of (-117)/65*(-1)/(3/10)*(-1884)/5652?
-2
What is the value of ((-6)/(-507)*13)/(2356/988)?
2/31
Evaluate ((-3689)/168)/(-17)*((-10)/(-2))/((-825)/660).
-31/6
Calculate (((-41292)/465)/37)/(2/15).
-18
((-23)/((-1449)/(-216)))/(140/(-490))
12
What is (-10*2)/(3*2/(-30)*(-8750)/(-4200))?
48
Calculate 75/(-10)*(-3072)/320.
72
What is (-23100)/16632*24/10?
-10/3
Evaluate ((-40)/3)/(((-123)/(4305/(-14)))/((-6)/5)).
40
(-32214)/3835*(-15)/2
63
Calculate (((-125)/50)/(9/((-108)/(-1185))))/((-2)/2).
2/79
((42/(-12))/7)/(390/(-2535))
13/4
What is the value of ((-948)/2212)/(189/(-392))?
8/9
What is 1/(-2)*(-78)/((-1950)/75)*(-14)/15?
7/5
(126*47/3948*(-1)/(-5))/((-42)/(-24))
6/35
((28613/71)/(-1))/(-13)
31
What is the value of (35/84*-3)/(1755/36504)?
-26
Evaluate ((-40)/3)/(3173/19038).
-80
What is the value of (-651)/(-2852)*-46*1/(-7)?
3/2
What is 660/(-420)*1785/(-1870)?
3/2
Evaluate (-2*1)/(92/(-506)*110/(-20)).
-2
Evaluate 1080/594*363/55.
12
What is 990/(-10)*-3*4/(-27)*(-1386)/1848?
33
Evaluate (-9630)/17820*33*6.
-107
(-1)/(-20)*(-25504)/(-12752)
1/10
Evaluate 38*(2*-14*(-13)/1274)/(24/(-7)).
-19/6
Evaluate (-35)/(-10)*((-1)/168*4)/(20/20).
-1/12
What is the value of -2*(-6)/12*28/35*-12?
-48/5
Calculate (44/306)/(6886/33804).
12/17
What is ((-8)/(-14))/2*2900709/(-20214)?
-41
Evaluate 2/(-2)*((-8100)/90)/2340.
1/26
Calculate -20*(6688/1540)/76.
-8/7
144/90*(-1440)/64*3/(6/(-2))
36
((-2)/2)/(33*300/3960)
-2/5
((-14)/6)/(35/(-600))
40
23/6*4*(-1215)/(-405)
46
3*5/(-15)*(-488)/305*(-375)/12
-50
What is the value of (-4)/16*150/(-375)*-5?
-1/2
Evaluate ((-140013)/(-5358))/331*12/1.
18/19
-9*(-23)/598*91*2
63
What is the value of (-2415)/24*8/20*(-12)/(-42)?
-23/2
(22/63*-3)/(214/(-2247))
11
What is (532/8)/19*(-13)/(455/(-90))*-6?
-54
Calculate (168/8)/((-5943)/(-20659)).
73
83/((-3237)/429)*(-84)/22
42
Evaluate ((-326)/815)/(2*(66/6160)/((-18)/3)).
112
Evaluate 47/(3713/(-237))*15/(-1)*(-4)/18.
-10
Calculate ((-1584)/(-120)*100/120)/2.
11/2
What is the value of 9/12*-54*43/31347?
-1/18
Evaluate (41008/33319)/((-2)/26).
-16
(-9)/15552*-1512*12/35
3/10
Calculate (-9)/(-63)*(-3304)/1416.
-1/3
Calculate (-299)/(-897)*6*136/(-8).
-34
900/260*13*6/(-18)
-15
Calculate (44265/79677)/(10/168).
28/3
Evaluate 70*18/540*(-2)/(-84)*2.
1/9
What is the value of ((-2)/(-22))/(144/528*18/(-27))?
-1/2
Calculate ((-2)/(-40))/((-60)/(-900))*124*(-2)/6.
-31
Calculate (3*(-2464)/3564)/((44/24)/(-11)).
112/9
What is ((2/633)/((-51)/(-102)))/((-12)/18)?
-2/211
What is (368/152)/(-23)*(-3762)/90?
22/5
Calculate (756/32)/(966/276).
27/4
Calculate ((-2)/(-2))/((-40)/(92720/(-61))).
38
(20*(-174)/5510)/(((-2)/(-4))/(21/(-28)))
18/19
What is the value of (-75)/(-110)*448/(-560)?
-6/11
Evaluate 32/84*-21*-1*(-51)/(-6).
68
What is the value of (-3)/((-456)/4)*1134/(-567)?
-1/19
What is the value of (0/(-2))/(((-2)/(-4))/(30/(-60)))?
0
What is (4/(-10))/((-2)/(16/(-60))*150/(-1875))?
2/3
What is (30/(-8)*34/(-255)*1*-5)/(-10)?
1/4
What is the value of (20/9)/((-23168)/130320)?
-25/2
Calculate 3*(1/2)/(-175*70/10500).
-9/7
Calculate 6210/(-7452)*(-336)/10.
28
What is the value of 27272/1738590*-2*34/(-8)?
2/15
Evaluate ((-1)/(2/(-2)))/((200/(-2000))/((-2)/(-8))).
-5/2
What is the value of (11/((-165)/(-10)))/((-32)/648)*(-26)/
|
{
"pile_set_name": "DM Mathematics"
}
|
8*(k**9*k**2)**34 assuming k is positive.
k**322
Simplify (y**(-5)*y)**(1/23)*(y*y**(-24)/y)/y**(-19/5) assuming y is positive.
y**(-2343/115)
Simplify (q/q**(2/7)*q)**28/(q*q*q**(-2/7)/q)**(-22)*q**(-5)*q**(2/3)*q**(-1/9)/q*q**0 assuming q is positive.
q**(3671/63)
Simplify (k/k**(3/7)*k*k*k**3)/(k**(-3/5)/(k/(k/k**1*k)*k))*(((k*k**(-4))/k)/k*k*k**1)/(((k**(-3)/k)/k*k)/(k/(k*k**(-6)))) assuming k is positive.
k**(496/35)
Simplify (((d*d**27*d/(d*d*d**(-26)))**(-5/6))**(-7/5))**(-16) assuming d is positive.
d**(-2968/3)
Simplify ((s*s**(-5))/s*s**3)/(s*s/(s*(s*s**(-2)*s)/s)*s**(-2/11))*(s**5*s/s**(-3/8))/((s*s*s**4/s*s*s)/s**(1/4)) assuming s is positive.
s**(-369/88)
Simplify (f*((f/(f*f/f**(-5/8)*f))/f)/f*f/(f/(f*f**31))*(f*f**(-44)*f*f)**28)**(-1/8) assuming f is positive.
f**(8957/64)
Simplify ((m**(-2/5))**(3/11))**7/((m/(m/(m*m**(-7)))*m*m/(m*((m*m/(m*m/(m**(-1/4)*m*m))*m)/m)/m)*m*m)/(m**(4/5)*m**(5/7))) assuming m is positive.
m**(6931/1540)
Simplify (((k**(-13/4)/k)/(k**(-26)*k))**(-16/3))**(4/21) assuming k is positive.
k**(-1328/63)
Simplify ((i*i**(6/11)*i)/i)/((i**3/i)/i)*(i/(i*i*i*i/(i/(i/i**(1/4)))*i))**(9/10)*(i**(-1/2))**(-42)*(i**(-1))**(2/139) assuming i is positive.
i**(222085/12232)
Simplify (r**(-8)*(r*r**(-11))/r*((r*r**(-8))/r)/(r/((((r*(r/(r/(r/(r/r**(2/11)))))/r)/r)/r)/r)))**2 assuming r is positive.
r**(-678/11)
Simplify (i**1*i)**(9/5)*i**(-2/9)/(i/(i/((i/i**3*i)/i*i)))*(i**1)**(-44)/(i**(-3/4)*i**(1/3)) assuming i is positive.
i**(-7057/180)
Simplify (((z*z/(z**9/z))/z)/(z*z*z/(z**(3/7)*z)))**(5/2)/(z**(-7)/(z/(z**6/z))*(z**(-2/9)*z)/z**(-6)) assuming z is positive.
z**(-1588/63)
Simplify t*t/(t/(t*t*t**19))*t*t*t/(t*t**(-1/56))*t**(-5)/t**(8/5) assuming t is positive.
t**(4877/280)
Simplify (c*c**(4/7)*((((c**(-2)/c)/c)/c)/c)/c)**(-4/33)*(c**(2/5)*c*c*c*c/c**(-4/5))**(-43) assuming c is positive.
c**(-257498/1155)
Simplify ((z*(z/(z**(-1/3)*z))/z)**(-13/5)/(z**0)**(-1/2))/((z/z**(-2/17)*z*(z*z**3)/z*z)/(z**(-1))**20) assuming z is positive.
z**(-6881/255)
Simplify (s/s**(-6/13)*s/(s/(s/(s*s/((s**13*s)/s)))*s)*(s**(9/4)*s*s)**(-2/31))**9 assuming s is positive.
s**(88407/806)
Simplify ((((c*c**(4/5))/c)/c)/(c/(c**(-1)/c)))/(c**(-1)/c*(c**(-1/4)*c)/c)*((c/c**1)/c)**(-3/14)/((c*c**4)/(c**(-1)*c)) assuming c is positive.
c**(-803/140)
Simplify (((b*b*b**(-7))/((b*b**(-20)/b)/b))/(b**10)**12)**(-5/9) assuming b is positive.
b**(520/9)
Simplify (t*t**2*t/((t/((t*(t/t**(2/3))/t)/t*t*t)*t)/t)*(t**(1/4))**48)/((t**(-1))**(-32))**28 assuming t is positive.
t**(-2639/3)
Simplify ((z**(-3)*z**(-1/2)*z*((z*z**(-3))/z)**(4/7))**(-24))**(28/9) assuming z is positive.
z**(944/3)
Simplify ((q*q/(q*(q**(1/3)*q)/q))**2)**(-21)/(((q*q**0)/q)**28/(q/((q/(q/q**(-2/5)*q*q))/q))**(-22)) assuming q is positive.
q**(-624/5)
Simplify ((i/(i*i**(1/7)*i)*i)**36/((i*(i*i**(-7))/i*i)/(i**(-3/14)*i*i)))**33 assuming i is positive.
i**(759/14)
Simplify (((k*k/k**(-34))**30)**(1/6))**(-2/59) assuming k is positive.
k**(-360/59)
Simplify ((j*j**(1/17))/j**16*(j/(j/j**(1/2))*j)/j*j*j*j*j*j**(-10))**(-1/49) assuming j is positive.
j**(695/1666)
Simplify (((f**(-5/2)*f)/f*f*f**4)/(f**(-2/3)*f**2))/((f/(f*(f*f/f**(-2/19)*f)/f))/((f*f**3)/f)*f**(-1/7)/(f*f/f**1)) assuming f is positive.
f**(5917/798)
Simplify ((x**(-1/3))**(-12/13)/((x/x**(-3/4))/(x/x**(-14))))**(6/11) assuming x is positive.
x**(2115/286)
Simplify (y/((y*y*(y*(y*y**16*y)/y)/y*y)/y))**(1/81)*(y**32*y)/(((y/(y*y**(-33)))/y*y)/y*y) assuming y is positive.
y**(-2/9)
Simplify (d/d**3*d/(d**(-3)/d))**(1/55)/((d**(-1/10)*d**(-1/5))/(d**(3/2)*d/d**(1/2))) assuming d is positive.
d**(259/110)
Simplify (l**(-2/27)/(l*(l/l**0)/l))/(l/l**(-2/5))**20*l*l**6*l**(-2)*l*l**5/l**(-3/2) assuming l is positive.
l**(-895/54)
Simplify (((h/(h/(h/(h*h**(-5)))*h)*h)/(h**(1/2)*h)*((h**(-2)/h*h)/h*h)**(-36))**(-3))**(-20/7) assuming h is positive.
h**(4530/7)
Simplify (f/(f/f**(18/11))*f**(-7)*f*(f*f**(-2/5)*f)**2)**42 assuming f is positive.
f**(-2688/55)
Simplify (a**(-37)*a)**(-38)/(a**(-13)*a**(-39/2)/a*a) assuming a is positive.
a**(2801/2)
Simplify (((p**(1/5)/p*p/(p**6*p))**33)**(-7))**(-8) assuming p is positive.
p**(-62832/5)
Simplify ((g/g**(-13))/g*g**34*g*g*g**(-1/30)/(g*g**18*g))**(-9) assuming g is positive.
g**(-2607/10)
Simplify ((h**(21/
|
{
"pile_set_name": "DM Mathematics"
}
|
least m?
False
Let o = 98/13 + -399/65. Suppose -112 + 114 = w. Is o at least w?
False
Let m = -52 + 34. Let b be (-3 - (-10)/3) + (-14)/m. Is 0 at most as big as b?
True
Let x = -1/1300 - -15081/1300. Which is smaller: 12 or x?
x
Suppose -4*q + 246 = -5*k + 1301, -3*k + 655 = 2*q. Is k at least 214?
True
Suppose -4*j + 10*r - 11*r - 25 = 0, r + 5 = 0. Which is smaller: -31 or j?
-31
Suppose 28 = -3*m - m. Let w(p) = -p**3 - 8*p**2 - 10*p - 3. Let f be w(m). Let j be f/(-42) - 148/(-378). Which is bigger: j or 0?
0
Let d be 292/(-700) - (-24)/56. Let n = d + 1567/700. Which is greater: n or 2?
n
Let z(r) = r + 7. Let v(b) = -1. Let d(q) = -2*v(q) + z(q). Let x be d(-8). Let c = -277/2331 + 2/259. Is x equal to c?
False
Let a(y) = -112*y**2 + 13*y + 29. Let n be a(-2). Are n and -443 unequal?
True
Let g = 4 + -1. Suppose g*o + 3 = s + o, 3*s + 5*o + 2 = 0. Is s > 3/13?
True
Let x = 409 + -443. Let l be (162/15)/((-3)/10). Let p = x - l. Is p equal to 1?
False
Let g = 639/1016 + -1/254. Suppose -18 = 2*f - 4*m, 0*m - m + 6 = f. Let r = g - f. Is 0 > r?
True
Suppose -2*t + 0*n - 3*n + 39 = 0, 4*t - 58 = -2*n. Let f(y) = 3*y - 35. Let g be f(t). Which is greater: 0 or g?
g
Suppose 6*y = 3*y. Let o be (-13814)/7092 + 2 + 0. Let c = -2/591 - o. Is c at least as big as y?
False
Let x(d) = 30*d - 269. Let f be x(9). Does -163 = f?
False
Let q be 30*(4 + -2) + 7 + -6. Which is smaller: 60 or q?
60
Suppose 3*i + 0 = 9. Let d = i - 2. Let o be (6/d)/((-6)/(-2)). Which is smaller: -18 or o?
-18
Let k(j) = -j**2 + 3*j + 9. Let p be k(4). Suppose -3*s + 0*s = -6. Suppose 0 = p*f + 5*w + 30, 3*f + s*w = -12 - 5. Is -4 less than or equal to f?
False
Let w(p) = p**2 + p. Let l be w(-8). Let m = l - 54. Which is smaller: 1/2 or m?
1/2
Let f(x) = x - 11. Suppose -5*s + 2*i = -26 - 2, 2*s = 2*i + 16. Let m be f(s). Is m greater than or equal to -10?
True
Let m = 2103 - 2086. Which is greater: m or 16?
m
Suppose -1 - 5 = -3*s. Let m be s + 2 + -3 + -2. Which is bigger: -2/119 or m?
-2/119
Let p = 463/2465 - 57/85. Let a = p - 76/203. Let q(b) = b + 3. Let s be q(-4). Which is smaller: s or a?
s
Let a(b) = b**3 + 26*b**2 + 80*b - 9. Let f be a(-4). Is f less than 145/6?
True
Suppose 4*o - 2*o = y + 26, 0 = -5*y - 10. Suppose -10*h - 2*h - o = 0. Do h and -1/11 have different values?
True
Let t(w) = 5*w - 166. Let g be t(27). Is g greater than 0.01?
False
Let t = 39/31 + 557/124. Which is smaller: t or 7?
t
Let g(u) = -2*u - 6. Let o be g(-5). Let f be 10/(-4) + 2/o. Suppose 0 = 2*x - 4*c + 6, 5*x - 4*c = -3*c - 6. Which is greater: x or f?
x
Let z = 69656 - 13095105/188. Let s = z - 5/4. Is s less than -1?
False
Suppose -a - 3*c = -364, 5*a - a = -2*c + 1496. Is 375 < a?
True
Suppose 4*m = -0*m - 36. Suppose 0 = -20*h - 47*h - 2*h. Which is bigger: h or m?
h
Let z(g) = -2*g**3 + 2*g**2 - 2*g + 1. Let s be z(1). Do -5/79 and s have different values?
True
Let p = -5077/25 - -203. Suppose -7*h + 3*h = 0. Let l be -1 + (-3 - (-5 + h)). Which is greater: l or p?
l
Suppose 2*r - 3*h = 0, 9*r - 14*r - 3*h - 42 = 0. Suppose 0 = -y - 3*y - 20. Is r >= y?
False
Suppose -2*c - 38*c = -56440. Which is smaller: 1410 or c?
1410
Let f be (-1)/(-6 - 1) + (-1107)/399. Which is smaller: -4 or f?
-4
Let g(z) = -z**3 - 4*z**2 + 18*z - 10. Let d be g(-8). Let m be (-2 + d/45)/(1/(-12)). Suppose 4*w + 12 = -4. Which is smaller: w or m?
w
Let p = -10 - -20. Let r(z) = 2*z - 18. Let h be r(p). Do 12/7 and h have different values?
True
Let d(m) = -5*m + 39 - 55 + 4*m + 23. Let j be d(3). Which is bigger: 14/5 or j?
j
Let j(c) = c**3 - 10*c**2 + 11*c + 6. Let b = -22 + 31. Let t be j(b). Suppose -2*r + 4*d = -6*r + t, -5*r - 3*d + 20 = 0. Is 0 > r?
False
Let j be (-18 + 4)*1*-1. Let o(g) = g**3 - 13*g**2 - 15*g + 15. Let z be o(j). Let m be ((-4)/19)/(-1 - z). Which is smaller: 0 or m?
0
Let t(g) = g**2 + 20*g + 9. Let m be t(-17). Let r be (2/4)/((-7)/m). Suppose r*h + 56 = -h. Is h greater than or equal to -14?
True
Let c = -114.59 - -123.1. Which is greater: -1/2 or c?
c
Let l(x) = x**3 - 29*x**2 - 34*x + 171. Let w be l(30). Suppose 193 = 4*y - 4*b - 23, 0 = -3*b - 12. Which is smaller: y or w?
y
Suppose -64 + 141 = 7*x. Let d = -11 + x. Is d smaller than 0?
False
Let o(s) = -s**2 + 8*s - 10. Let q be o(2). Suppose 4*d - 3*d - q = -3*x, 0 = 2*x - d + 7. Suppose 0 = 2*r - r + 1. Do r and x have the same value?
True
Let g = 119 - 117. Suppose -15 = 5*c + 5*y, 4
|
{
"pile_set_name": "DM Mathematics"
}
|
1*(-158 - 1)*p a composite number?
True
Suppose -4*b + 25 - 5 = 2*n, 4*b = -4*n + 20. Let j be (3 - (-258)/b)*-5. Is 16/88 + j/(-11) prime?
False
Suppose 2*d + 1557 = 3*y, -2*y + 415 = -4*d - 615. Is y prime?
True
Let p(g) = 33*g**2 + 5*g + 17. Let l(y) = -16*y**2 - 2*y - 8. Let i(j) = 5*l(j) + 3*p(j). Is i(5) a composite number?
True
Suppose 0*m + 240 = 2*p - m, -3*p + 366 = -3*m. Suppose 3*s - p = s. Is s composite?
False
Let t(o) = 10*o**2 + 14*o + 12. Let u be t(-9). Suppose 0 = 4*a - 2*m - 2*m - u, -3*a - 3*m = -552. Is a prime?
True
Let l(t) = -6*t - 5. Let j(b) = 5*b + 6. Let q be ((-9)/6)/((-1)/(-2)). Let w(g) = q*j(g) - 4*l(g). Is w(7) prime?
False
Let k(t) = t**2 - 16*t + 5. Let g be k(8). Suppose 0*c - 342 = -3*c. Let z = c + g. Is z prime?
False
Suppose 0 = -b, 0*b - 4*b = -5*g - 1110. Let r = g - -377. Is r a prime number?
False
Let f(q) = 50*q**2 + 2*q - 1. Suppose 3*b - 3 = 6. Suppose c - 6 = -b*g - g, -3*c + 6 = 0. Is f(g) composite?
True
Suppose -2*l - 2*f + 964 = 0, 4*f - 48 - 425 = -l. Is l composite?
True
Let i = 129 + -90. Suppose 0 = -g + i + 16. Suppose 2*o - g = -5*s, -3*o - s + 65 = o. Is o a prime number?
False
Suppose -4*w = 3 + 1, -3*w + 1506 = 3*o. Is o composite?
False
Let c = -17 - -30. Let f = -8 + c. Suppose -4 = -f*n + 91. Is n a prime number?
True
Let f be (-1)/((-2)/96*3). Let y(m) = -4125*m**3 - 2*m**2 + m. Let n be y(1). Is n/(-10) + f/40 a prime number?
False
Let j = -544 - -795. Is j composite?
False
Suppose 9 = d - i + 4*i, 0 = -4*d - 3*i + 27. Let j = -45 + d. Let u = j + 152. Is u a composite number?
False
Let t(w) = -w**3 + 5*w**2 + 7*w - 2. Suppose 2*c - 17 = -c + z, -2*z = -2. Let y be t(c). Suppose -405 + 97 = -y*k. Is k composite?
True
Suppose 4*q - 5*z + 11 = 0, 3*z - 5 = 5*q - 1. Let x be (2/6)/(q/537). Suppose -3*t + 166 = -x. Is t a composite number?
True
Let d(v) = 105*v + 3. Is d(2) a prime number?
False
Let z(o) = -o**3 + 23. Let h be 4/18 + 6/(-27). Is z(h) a prime number?
True
Let o = -19 - -15. Is ((-934)/3)/(o/6) a prime number?
True
Let k(j) = 2*j. Let s(y) = -y. Let t(z) = -3*k(z) - 5*s(z). Let r be t(1). Is (-7)/((-21)/162) - r a composite number?
True
Let r be (-1)/(2/(1 + 243)). Let g = -195 - r. Let p = 150 + g. Is p composite?
True
Let b = -6 - -8. Let a be (7/(-21))/(1/(-18)). Is (b/(-4))/(a/(-108)) composite?
True
Suppose -15*r + 16*r = 337. Is r a composite number?
False
Let x = -11 - -3. Let w(k) = -k**3 - 5*k**2 - k + 9. Is w(x) prime?
False
Suppose 6 = 3*k - 0*k. Suppose 9 = 4*o - 5*w + 55, o - k*w = -13. Let y = 23 + o. Is y composite?
True
Suppose 4*t + 2 = 5*k - 2, 0 = -k + 3*t + 3. Is k - 1114/(-6 - -4) composite?
False
Let v(l) = 90*l**2 + 7*l + 8. Is v(-3) composite?
False
Let g = -21 - -86. Is g prime?
False
Suppose 6*m - 4*m = 296. Suppose -13 + m = 5*h. Suppose 3*n + w - h = 4*w, 4*n - 5*w = 34. Is n a prime number?
True
Let a(n) = -n**3 + 3*n**2 + 5*n - 3. Let u be a(4). Let y(h) = 192*h**3 - 2*h + 1. Is y(u) a composite number?
False
Let v(o) = o**2 + 12*o - 3*o**2 + o**2 - 15. Let z be v(10). Suppose 0 = -3*h + 2*f + 12, 0*f + 20 = z*h - 2*f. Is h prime?
False
Suppose -7*c + 5*c = -358. Is c a composite number?
False
Let c(k) = -18*k + 1. Let j be ((-18)/(-8))/((-3)/8). Is c(j) a composite number?
False
Is 2587/11 - (-14)/(-77) a composite number?
True
Is 0 + (-124 + -3)*-7 composite?
True
Let n(w) be the second derivative of -31*w**5/20 + w**4/6 - w**3/2 - 3*w**2/2 - w. Is n(-2) composite?
True
Let j(q) = 24*q - 1. Let g be j(6). Let v be 218 + (4 - (4 - 4)). Let i = v - g. Is i composite?
False
Let n(z) = 3*z**2 + 2*z + 1. Let t(i) = -i + 1. Let m be t(4). Let w(c) = -c**3 - 3*c**2 + 4. Let k be w(m). Is n(k) a prime number?
False
Suppose -3*j - 6 = 2*q + 1, 3*j = -3*q - 6. Let f be 0 - (q - 1) - -29. Suppose 0*t - l + 6 = t, l = 4*t - f. Is t a prime number?
True
Let i = 11 + -7. Let u be (-162)/i + 2/(-4). Let h = 78 + u. Is h a prime number?
True
Let i = -3 + 3. Suppose 0 = -4*a - i*a. Suppose a = -4*f + 265 + 51. Is f a composite number?
False
Suppose -x = m - 5*m + 643, -4*m + 3*x = -641. Suppose -5*r + m = -474. Is r composite?
False
Let j = 2 + -2. Suppose -n = -j - 1, -4*r + 5*n = -223. Suppose g + 2*g = r. Is g composite?
False
Suppose -3*r - 117 = -1017. Suppose r = 4*v - 4*y, -v - 4*v - 5*y = -415. Is v a composite number?
False
Suppose 4*j = 490 + 18. Is j a composite number?
False
Suppose 5*k + 15 = -5. Let a be 142/(-3) - k
|
{
"pile_set_name": "DM Mathematics"
}
|
0
In base 5, what is -2 + 10303?
10301
In base 13, what is 163 + -2?
161
In base 16, what is 1 - -8a?
8b
In base 11, what is 873 - 3?
870
In base 12, what is -78 - -4?
-74
In base 14, what is -9 - -49?
40
In base 12, what is 2 + -441?
-43b
In base 16, what is -45e - 0?
-45e
In base 4, what is 2 + 1331?
1333
In base 15, what is -c + 2c4?
2b7
In base 5, what is 0 + -130?
-130
In base 2, what is 110000 + 11100?
1001100
In base 6, what is -2 - -1434?
1432
In base 7, what is 4220 - 3?
4214
In base 5, what is -144 + -3?
-202
In base 3, what is 12 - 112?
-100
In base 5, what is 10 + -111?
-101
In base 6, what is 130 + 32?
202
In base 5, what is 22431 - -12?
22443
In base 10, what is 4024 + -2?
4022
In base 3, what is -200000 - -10?
-122220
In base 10, what is -110 - 3?
-113
In base 15, what is -36b + -e?
-37a
In base 3, what is 112000200 + 1?
112000201
In base 14, what is acc - -6?
ad4
In base 16, what is -2d + 5?
-28
In base 15, what is 21 + c9?
ea
In base 12, what is -1a3 + -3?
-1a6
In base 7, what is 51 + -1335?
-1254
In base 12, what is -3 + -b5?
-b8
In base 11, what is -10a5 + 2?
-10a3
In base 4, what is -32 - 3?
-101
In base 15, what is -389 + 0?
-389
In base 2, what is -11 - 1100110101?
-1100111000
In base 2, what is 111110101011 - 10?
111110101001
In base 14, what is -5 - -715?
710
In base 8, what is 5 + -43?
-36
In base 7, what is -33 + -461?
-524
In base 11, what is -328 - -5?
-323
In base 16, what is -1 + 1?
0
In base 4, what is -10 + 1031312?
1031302
In base 11, what is -18a - -6?
-184
In base 16, what is -f - 48?
-57
In base 10, what is 16 + 5?
21
In base 8, what is -105 + -1?
-106
In base 12, what is -427 + -2?
-429
In base 3, what is -12021 - 121?
-12212
In base 9, what is 42 - 28?
13
In base 16, what is 31 + 1?
32
In base 15, what is 2 - -cc?
ce
In base 6, what is 140 - -42?
222
In base 5, what is 3 - 23343?
-23340
In base 10, what is -10 - -13?
3
In base 5, what is 1114 - -341?
2010
In base 4, what is 123 - 1003?
-220
In base 10, what is -5 - -314?
309
In base 6, what is -3154 + 4?
-3150
In base 13, what is 2094 + -4?
2090
In base 5, what is 4203 + 4?
4212
In base 14, what is 1a181 - -1?
1a182
In base 8, what is -11 - -24?
13
In base 5, what is 111003 + 4?
111012
In base 8, what is -75 - -3?
-72
In base 15, what is -4 - 17?
-1b
In base 6, what is 3034 - 4?
3030
In base 3, what is -121210 + -12?
-121222
In base 10, what is -48 - 37?
-85
In base 8, what is 1 + 1310?
1311
In base 8, what is -123 - 0?
-123
In base 4, what is -1 - -3323?
3322
In base 15, what is 168 + 2?
16a
In base 9, what is -184 + 1?
-183
In base 11, what is -5 - 468?
-472
In base 12, what is 268 - -1?
269
In base 10, what is 8 - -31?
39
In base 6, what is 2 - 34?
-32
In base 11, what is 0 - -89?
89
In base 9, what is 7 - -1451?
1458
In base 9, what is 3 + -4?
-1
In base 10, what is 2 - -52?
54
In base 2, what is 1010 - -1000000000?
1000001010
In base 7, what is -365 - 0?
-365
In base 8, what is -455 + 33?
-422
In base 3, what is -2 + 200?
121
In base 4, what is 323 - 12?
311
In base 14, what is -1 - 5?
-6
In base 12, what is 24 + -2?
22
In base 13, what is 226 + -1?
225
In base 13, what is 3388 - -3?
338b
In base 6, what is -12 - -25?
13
In base 9, what is -16514 + -2?
-16516
In base 9, what is 66 + -125?
-48
In base 16, what is 0 - 99?
-99
In base 16, what is 1 - -44?
45
In base 14, what is -cc + 1?
-cb
In base 15, what is 372 + -2?
370
In base 15, what is 112 - 5?
10c
In base 13, what is -12 - 4?
-16
In base 15, what is -2 + 48a?
488
In base 3, what is -11001 - -102?
-10122
In base 6, what is 101532 + -5?
101523
In base 11, what is -13 + -6?
-19
In base 8, what is -510 + -3?
-513
In base 4, what is 3 + 223?
232
In base 15, what is 1e + -4c?
-2d
In base 8, what is -1 + -141?
-142
In base 5, what is 3 + -12012?
-12004
In base 6, what is 314 + 22?
340
In base 7, what is 1 - 3322?
-3321
In base 14, what is -18 + 47?
2d
In base 6, what is 10 + 4131?
4141
In base 15, what is 5e + -72?
-13
In base 7, what is 52 + -142?
-60
In base 6, what is 103 - 10?
53
In base 14, what is 5d - 4?
59
In base 2, what is -110011 - -100101?
-1110
In base 3, what is 0 + -122002?
-122002
In base 3, what is 12 - 202111?
-202022
In base 9, what is -504 + -6?
-511
In base 14, what is a7 - -4?
ab
In base 14, what is 2070 + 0?
2070
In base 7, what is -4 + -10603?
-10610
In base 14, what is b51 - 5?
b4a
In base 9, what is -5 - 536?
-542
In base 9, what is 2464 + 0?
2464
In base 5, what is 2 - -2342?
2344
In base 9, what is -1350 + 2?
-1347
In base 4, what is -21211 - 10?
-21221
In base 12, what is 0 - -114b?
114b
In base 7, what is -5 - 51?
-56
In base 2, what is 0 - 11110001001?
-11110001
|
{
"pile_set_name": "DM Mathematics"
}
|
e) -106
c
What is the fourth smallest value in -0.1, 1/11, -5, 2/3, -0.0998, 2/5?
1/11
Which is the third smallest value? (a) 4 (b) 0.4 (c) -4 (d) 0.5 (e) 2 (f) 103
d
What is the second biggest value in 27, -5, -3/8, -54?
-3/8
What is the fifth biggest value in 3/4, 3, -0.2, -0.3, -3/7, 23.8?
-0.3
What is the second smallest value in -0.07, -0.4, 20, 0.1?
-0.07
What is the fifth smallest value in -3/2, 524, -5/11, 4, -0.3?
524
What is the fourth biggest value in 142, -11, 4/5, 5, -0.3?
-0.3
What is the fifth smallest value in -0.4, -6, 0, 15, -19.7?
15
What is the fifth biggest value in 3, 0.22, -1/15, 2/3, -7?
-7
What is the fourth biggest value in 5, -2/11, 2.3, 232?
-2/11
Which is the second smallest value? (a) 153 (b) 1/5 (c) 21 (d) -1
b
What is the third biggest value in 4/7, -28, 4, -1?
-1
What is the fourth smallest value in -52/5, 0, -2/11, -5, -2, 13/17?
-2/11
What is the second biggest value in 3/11, -13, -2/5, -2/7?
-2/7
What is the biggest value in 4, 2/3, -2/47, -96?
4
Which is the biggest value? (a) 8253/58 (b) 3 (c) -3
a
What is the second biggest value in -1, 152, -0.032, -2.1, 3?
3
Which is the biggest value? (a) -12 (b) 3 (c) -0.6 (d) 3/4
b
What is the third biggest value in 4, -35, 29, 2/5?
2/5
Which is the fifth smallest value? (a) -5 (b) 2.6 (c) -24 (d) 31/11 (e) 3
e
What is the fourth smallest value in 0, 0.8, -1/22, 1/3, 987?
0.8
Which is the third smallest value? (a) 5 (b) -1/3 (c) 187
c
What is the third smallest value in -92, -0.01, -0.4, 0.3, 0.4, 14/5?
-0.01
Which is the biggest value? (a) 8.42 (b) 1 (c) -0.1
a
What is the fifth smallest value in 2, -10, 5, 30, -1/43?
30
What is the biggest value in -11, 0.077, -0.5, 2/3?
2/3
What is the fifth biggest value in -5, -1, 38/7, 4, -4/7?
-5
Which is the second smallest value? (a) -7/4 (b) 0.1792 (c) -2 (d) 5
a
What is the third smallest value in 7, -0.7, 110, -0.5?
7
What is the smallest value in -18, -0.1, -0.06, 4712?
-18
What is the third biggest value in 4, -5/4, -460?
-460
Which is the biggest value? (a) 0.3 (b) -154935 (c) 0.06
a
Which is the second biggest value? (a) 1.6 (b) 312 (c) -1.4
a
Which is the biggest value? (a) -5 (b) -4/49 (c) -1/11 (d) 0
d
What is the third biggest value in -5, 0.06759, -3?
-5
What is the second biggest value in -3/4, 15, 0.6, -8.7?
0.6
What is the fifth smallest value in 4, 5, 2/3, -4, -227?
5
Which is the smallest value? (a) -10 (b) -2/2711 (c) 5/2 (d) -2/3
a
Which is the second smallest value? (a) 0 (b) -2/3 (c) -2 (d) -0.3 (e) -13/21
b
What is the third biggest value in 2487, -1, -0.3, 3?
-0.3
What is the second smallest value in -5, 1, 0.06, -2/9, 5/4, 16/7?
-2/9
What is the second biggest value in 30/2021, -55, -3?
-3
Which is the fifth biggest value? (a) 19 (b) 12 (c) 0 (d) -3 (e) 3/2 (f) -0.8
f
What is the fourth biggest value in 258, 613, 0, 2?
0
Which is the third biggest value? (a) 0.4 (b) 25/44 (c) -3734
c
What is the smallest value in -21, -0.05, 28, 1/35?
-21
Which is the fourth biggest value? (a) -38 (b) 0.1 (c) 8603 (d) 0.3
a
Which is the biggest value? (a) -5 (b) 2 (c) -1 (d) -0.1 (e) -390/121
b
Which is the third smallest value? (a) -0.0425 (b) 1/3 (c) 2 (d) 5 (e) 3
c
What is the fourth biggest value in 0.4, -4, 0, -10, -0.1, 66?
-0.1
Which is the smallest value? (a) 44 (b) 1/6 (c) 355 (d) 0.3 (e) -3/4 (f) -5
f
What is the second biggest value in -21, 0.637, 1/2?
1/2
Which is the second smallest value? (a) 6 (b) 1/3 (c) 0.221974
b
What is the fourth biggest value in 0.518, -2/11, 4.99, 3/7?
-2/11
What is the fourth smallest value in 1/3, 2/9, 10/11, -2/5, 0.3?
1/3
Which is the smallest value? (a) 3/58 (b) 5 (c) -3.064
c
Which is the second biggest value? (a) -23 (b) 0.7 (c) 1/19 (d) 4
b
What is the smallest value in -3/55, 14/13, -51?
-51
Which is the smallest value? (a) -0.1 (b) -794 (c) -2/25
b
What is the third biggest value in -0.7, 6.9, 3, -24?
-0.7
Which is the second smallest value? (a) -2 (b) 245251 (c) 8
c
Which is the sixth smallest value? (a) -1/9 (b) 0.34 (c) 0.18 (d) -1/3 (e) -1/6 (f) -2/3
b
Which is the third smallest value? (a) -13 (b) -3 (c) 29 (d) -4 (e) 5
b
Which is the smallest value? (a) -71 (b) -2/13 (c) 0.1 (d) 23
a
Which is the third smallest value? (a) -0.04 (b) -0.5 (c) 11342 (d) 1/6
d
What is the third biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 2*f + 1. Let d be l(u). Let o(p) = d - 9 + 2*p**2. Let x(v) = -v. Determine o(x(z)).
2*z**2
Let j(n) = n. Let l(u) = -12*u**2 - 6. Let p(x) = -3 + 5*x**2 - 4*x**2 + 10*x**2 + 8. Let h(m) = -5*l(m) - 6*p(m). Determine h(j(t)).
-6*t**2
Let j(h) = 3*h**2 - 43. Let d(p) = -716*p**2. Calculate j(d(i)).
1537968*i**4 - 43
Let a(b) = 8*b + 7 + 1 + 8*b - 8. Let t(d) = 17*d. What is t(a(q))?
272*q
Let p(m) = 3*m**2. Let t(r) be the second derivative of 5*r + 0 - r**2 - 1/8*r**4 + 0*r**3. Let f(a) be the first derivative of t(a). Determine f(p(x)).
-9*x**2
Let v(u) = 5*u. Let p(k) be the second derivative of -5*k**3/2 - 153*k. Give p(v(c)).
-75*c
Let c(p) = 2*p. Let g(l) = -522*l**2 - 2*l - 1. Give g(c(j)).
-2088*j**2 - 4*j - 1
Let t(s) = -11*s**2 + 9*s. Let b(f) = -5*f**2 + 4*f. Let l(v) = -9*b(v) + 4*t(v). Let j(y) = 80*y - 29*y - 2*y - 7*y. Determine l(j(k)).
1764*k**2
Let h(x) be the second derivative of -10*x**3/3 - 2*x. Let c(a) be the third derivative of -a**5/30 + 16*a**2 - 5. Calculate c(h(g)).
-800*g**2
Suppose 2*o = -3*o + 2*h + 57, 5*o - h - 61 = 0. Let k(c) = o*c + 10*c - 31*c + 9*c. Let y(f) = -26*f**2. Determine k(y(w)).
-26*w**2
Let i(g) = 4*g**2 + 2*g. Let f(u) be the first derivative of -11*u**2/2 + 391. Give i(f(m)).
484*m**2 - 22*m
Let m(p) = -2294711*p**2. Let c(k) = -k**2. What is m(c(u))?
-2294711*u**4
Let s(q) = 56445*q**2. Let j(y) = y. Determine j(s(v)).
56445*v**2
Let a(s) = 11*s - 2*s - 5*s + s + 3*s. Let j(p) = -p**2 - 4. Give a(j(h)).
-8*h**2 - 32
Let n(j) = -40*j. Let t(g) = 7*g**2 + 3449*g. What is n(t(h))?
-280*h**2 - 137960*h
Let s(y) = -271*y + 138*y - 20 + 131*y. Let u(g) = 2*g. Determine s(u(l)).
-4*l - 20
Let m(b) = -3*b**2. Let r(t) = 7*t**2 + 123*t + 3*t**2 - 123*t. What is m(r(c))?
-300*c**4
Let p(z) = -4*z**2 + 7. Let r(s) = -3*s**2 + 6. Let t(u) = 6*p(u) - 7*r(u). Let k(i) = 161*i. Calculate k(t(x)).
-483*x**2
Let x(w) = 3*w**2 + 3*w - 3. Let y(g) = 3*g**2 + 2*g - 2. Let v(i) = 4*x(i) - 6*y(i). Let c(a) = 0*a - a + 2*a. Give c(v(r)).
-6*r**2
Let f(g) be the second derivative of -g**4/12 - g**2 + 6*g. Let u(a) be the first derivative of f(a). Let h(m) = 7*m**2. What is u(h(q))?
-14*q**2
Let o(a) = 4*a. Let h(s) = 11*s + 353. Determine h(o(i)).
44*i + 353
Let k(j) = -j + 1. Let z(x) = 19*x - 12. Let w(s) = 9*s - 6. Let g(v) = 5*w(v) - 2*z(v). Let l(r) = g(r) + 6*k(r). Let c(a) = -a**2. Determine l(c(u)).
-u**2
Let i(d) be the third derivative of d**5/30 + d**2 - 90*d. Let v(y) = -70*y**2 - y. Calculate i(v(s)).
9800*s**4 + 280*s**3 + 2*s**2
Let v(q) = -422*q**2. Let y(i) = i + 24. Calculate v(y(n)).
-422*n**2 - 20256*n - 243072
Let g(f) = -9*f - 325. Let r(v) = v. What is g(r(w))?
-9*w - 325
Let o(g) = -3*g. Let y(h) = -4131*h**2 - 2*h. What is y(o(m))?
-37179*m**2 + 6*m
Let l(c) = -19*c**2 - 7*c. Let i(g) = 11*g**2 + 4*g. Let a(j) = 7*i(j) + 4*l(j). Let k(r) = -13*r**2 - r. Determine a(k(h)).
169*h**4 + 26*h**3 + h**2
Let v(i) = -450*i - 451*i + 904*i. Let m be (6/4*2)/1. Let d(f) = f + 5*f - m*f - f. Calculate v(d(y)).
6*y
Let p(t) = -58*t**2. Let z(w) be the third derivative of -w**4/8 + 46*w**2. Give p(z(a)).
-522*a**2
Let x(c) = 5*c + 9. Let u(b) = -14*b - 24. Let a(v) = 3*u(v) + 8*x(v). Let q(i) = -28*i**2 + 2. Give q(a(r)).
-112*r**2 + 2
Let t(k) = -k**2. Let h(f) be the second derivative of -99*f**3/2 - 160*f. Determine t(h(p)).
-88209*p**2
Let g(p) = -6*p. Suppose 5*c - 5*r = 40, 5*c = 3*c - 2*r + 8. Suppose 5*o - 2*f = 38 + 23, -c = 2*f. Let q(a) = 7*a - o*a + 3*a. Calculate q(g(x)).
6*x
Let l(f) = -4*f - 6. Let t(m) = -25*m - 35. Let s(y) = 35*l(y) - 6*t(y). Let z(j) be the first derivative of 0*j**2 - 6 - 2*j**2 + 3*j**2. What is z(s(g))?
20*g
Let t(w) = 239336*w. Let x(l
|
{
"pile_set_name": "DM Mathematics"
}
|
63/80. Let i(g) be the second derivative of 0 - o*g**5 + 1/8*g**4 + 0*g**3 + 10*g + 0*g**2. Factor i(r).
-3*r**2*(r - 2)/4
Suppose 6/5*p**3 + 22/15*p + 22/5*p**2 - 4/5 - 14/15*p**4 = 0. Calculate p.
-1, 2/7, 3
Let i(l) = 23*l**4 - l**3 - 24*l**2 - 11*l - 11. Let s(m) = 8*m**4 - 8*m**2 - 4*m - 4. Let n(y) = -4*i(y) + 11*s(y). Find q such that n(q) = 0.
-1, 0, 2
Let g be (5 + 0 - 11)*30/(-9). Let f = g - 178/9. Factor -2/9*y + 0 + 0*y**2 + f*y**3.
2*y*(y - 1)*(y + 1)/9
Let u(s) = 4*s**3 - 55*s**2 + 257*s - 186. Let q(t) = -20*t**3 + 276*t**2 - 1284*t + 932. Let v(d) = -5*q(d) - 24*u(d). Let v(i) = 0. What is i?
1, 7
Let v be ((-9)/18)/(2/72). Let w = -15 - v. Suppose -9*o - 3*o + 3*o + 5 + w*o**3 + 1 = 0. What is o?
-2, 1
Let j(k) be the second derivative of -k**6/75 - k**5/50 + 7*k**4/10 + 3*k**3 + 14*k + 16. Factor j(y).
-2*y*(y - 5)*(y + 3)**2/5
Let s(o) be the first derivative of -1/9*o**6 - 6 + 0*o**5 + 0*o - 1/3*o**2 + 1/3*o**4 + 0*o**3. Factor s(r).
-2*r*(r - 1)**2*(r + 1)**2/3
Factor -157*s - 662 + 30*s + 617 - 5*s**2 + 77*s.
-5*(s + 1)*(s + 9)
Let p(v) be the third derivative of v**8/20160 - v**6/180 - v**5/10 - 10*v**2. Let c(k) be the third derivative of p(k). Let c(r) = 0. What is r?
-2, 2
Find j, given that 35280*j**2 - 112*j**3 - 4939200*j + 259308000 + 2/15*j**4 = 0.
210
Let u(g) be the second derivative of 3*g**5/80 - g**4/8 - g**3/8 + 3*g**2/4 - 29*g. Factor u(z).
3*(z - 2)*(z - 1)*(z + 1)/4
Let x(u) be the first derivative of 4/45*u**5 - 15 + 2/9*u**2 - 1/9*u**4 - 4/27*u**3 + 0*u. Factor x(a).
4*a*(a - 1)**2*(a + 1)/9
Let t(n) be the third derivative of -n**7/23940 - 2*n**6/855 - 16*n**5/285 + 5*n**4/12 + 8*n**2. Let c(d) be the second derivative of t(d). Factor c(g).
-2*(g + 8)**2/19
Let s be (-25)/225*(-117)/26. Factor -9/4*y**2 + s - 7/4*y.
-(y + 1)*(9*y - 2)/4
Let p(t) be the third derivative of -t**7/280 - t**6/120 + t**5/10 + t**4/2 - 5*t**3/3 - 2*t**2. Let y(q) be the first derivative of p(q). Factor y(u).
-3*(u - 2)*(u + 1)*(u + 2)
Let t(m) be the second derivative of -5*m**4/12 + 5*m**3 - 25*m**2/2 - 86*m. Determine k, given that t(k) = 0.
1, 5
Suppose p - 4*y + 16 = 3*p, y - 4 = 0. Find z such that -4*z**4 - 16*z**2 + 8*z**3 - 15*z**3 + p*z**3 - 9*z**3 = 0.
-2, 0
Let g(d) be the second derivative of -d**7/399 - 11*d**6/285 - d**5/19 - 135*d - 3. Find i, given that g(i) = 0.
-10, -1, 0
Factor 2/13*m**3 + 46/13*m**2 - 22 + 238/13*m.
2*(m - 1)*(m + 11)*(m + 13)/13
Let a be 9/(-10) - (8 - 9). Let m(k) be the second derivative of 3/10*k**5 - a*k**6 + 0*k**3 - 1/4*k**4 - 4*k + 0 + 0*k**2. Factor m(h).
-3*h**2*(h - 1)**2
Let j be -1*1 + (-7)/(-21)*15. Let r be (-3)/7*(-7)/j. Solve 2*o**3 + r*o**4 + 0 + 7/4*o**2 + 1/2*o = 0 for o.
-1, -2/3, 0
Suppose -58*t**2 + 90*t**3 - 215*t - 71 + 151 + 50*t**4 - 82*t**2 + 5*t**5 + 130 = 0. What is t?
-7, -3, -2, 1
Let c(o) = -69*o + 26. Let s be c(-7). Factor 0 - s*b**2 - 2 + 511*b**2.
2*(b - 1)*(b + 1)
Let h = -187 + 192. Let q(p) be the first derivative of 4*p**3 - 6 + 2*p**2 - p**4 - 4/5*p**h - 8*p. Suppose q(m) = 0. What is m?
-2, -1, 1
Let o be 0/2*(-38)/190. Let q(s) be the second derivative of -5/18*s**4 + o - 2/3*s**2 + 3*s + 7/9*s**3. Factor q(h).
-2*(h - 1)*(5*h - 2)/3
Let n(y) be the first derivative of 4*y**5/5 + 109*y**4 + 11660*y**3/3 - 6050*y**2 + 17. What is f in n(f) = 0?
-55, 0, 1
Let -6*q**2 - 9 + 42*q**3 + 30 - 3*q**5 - 39*q + 265995*q**4 - 266010*q**4 = 0. Calculate q.
-7, -1, 1
Let w = -3 + 5. Determine z so that 2 - 6*z**3 - 57*z + 62*z + z**3 - 2*z**w = 0.
-1, -2/5, 1
Suppose z = -n, -z = -205*n + 209*n. Factor 0*h + n - 3/2*h**5 + 0*h**2 - 3/2*h**4 + 3*h**3.
-3*h**3*(h - 1)*(h + 2)/2
Suppose -8*l**2 + 351*l - 351*l - 4*l**3 = 0. What is l?
-2, 0
Let q(z) be the first derivative of z**5/20 - z**4/4 - 11*z**3/6 + z**2/2 + 21*z/4 - 487. Let q(t) = 0. What is t?
-3, -1, 1, 7
Factor 5/8*a + 0 - 1/2*a**2 - 1/8*a**3.
-a*(a - 1)*(a + 5)/8
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3 = 4*x - 5 for x.
-2
Solve -28 = 4*j + 4*q, -q - 3 = -j - 2 for j.
-3
Solve -5*m + 17 = -4*n, 5*n = -39*m + 40*m - 16 for n.
-3
Solve 0 = g - p - 5, -2*g - 2*p - 6 = -0 for g.
1
Solve 0 = -17*c - 0*c - 4*o - 48, -o = -c - 9 for c.
-4
Solve -3*u = g - 17, -g + u = 2 + 1 for g.
2
Solve 2*w - 11 = 5*l, 4*w + 8 = 5*l + 25 for w.
3
Solve 2*k + 4 - 11 = 3*z, 3*k - 15 = 0 for z.
1
Solve 3*p + 11 = 2*b - 7*b, -2*p + 1 = -5*b for b.
-1
Solve 2*g - k - 4 = 0, 3*g - 5*k = 7*g - 8 for g.
2
Solve 0 = 43*o - 38*o + 2*y - 16, 3*o - 2*y = -16 for o.
0
Solve -7*g + 10*g + 5*d - 21 = 0, -4*d + 6 = -3*g for g.
2
Solve 5*b + 5*c = -10, -33 = -4*b + 5*c - 41 for b.
-2
Solve -69*z + 67*z = -5*j - 12, z + 16 = -3*j for z.
-4
Solve 2*w + 3*y = 0, -4*y + 4 = 5*w - w for w.
3
Solve -4*l = -5*t + 22, 5 = -l + 2*t - 2 for l.
-3
Solve 0 = -3*x + 2*t + 9, -5*x - t - 39 + 54 = 0 for x.
3
Solve 3*z = 6*y - 3*y, 8 = 2*y for z.
4
Solve -5*l = 3*g, -g + 0*g = -4*l for l.
0
Solve 4*j + 31 = -2*b + 17, -j - 20 = -5*b for b.
3
Solve -5*d = -c - 19, -4*c - 136*d = -138*d + 22 for c.
-4
Solve 5*s + 4*y - 3*y = -27, 5*y = 2*s for s.
-5
Solve 0 = -2*w + 4*h + 18, 3*w + 3*h + 2*h + 17 = 0 for w.
1
Solve -17 = 5*l + 3*v, -4*l + 4*v + 355 - 343 = 0 for l.
-1
Solve t + x + 18 = 4*t, 0 = -4*t + 3*x + 29 for t.
5
Solve 3*f - 3*j - 9 = 5*f, 6 = 3*f - 2*j for f.
0
Solve -2*y = 5*o + 17, 6*o = 10*o - 3*y + 9 for o.
-3
Solve 0 = 2*f, -2 = -3*h - f - 8 for h.
-2
Solve -13*l + 14 = -14*l + 3*r, 5*r - 26 = 3*l for l.
-2
Solve 3 = 3*g - 12, 5*t - 5*g = -15 for t.
2
Solve -3*i = 14*q - 18*q + 14, 4*i - 28 = -4*q for i.
2
Solve 4*d - 2*d + 8 = 0, -4 = 4*a - 4*d for a.
-5
Solve 4*n - 6*k = -10*k + 16, 2*n - 5*k = 1 for n.
3
Solve -f = -2*b, 2 = -5*f + 3*b - 12 for f.
-4
Solve -3*c - 2*r = 16, -8 = 2*c + r + 2 for c.
-4
Solve 7*h - 8 = 6*h + z, 8 = -4*h - 4*z for h.
3
Solve -221*s - 4 = -223*s - 2*b, -5*s = -b + 2 for s.
0
Solve 35*y - 34*y - 8 = 3*z, -5*z - 2*y - 6 = 0 for z.
-2
Solve 5*o - 14 = -5*k + 4*k, -o + 6 = k for k.
4
Solve 0 = 4*y + 2*b + 12, 15 = y + 18*b - 13*b for y.
-5
Solve -98*z - 15 = -4*g - 97*z, 3*g + 3*z = 15 for g.
4
Solve -5*z + 5*f + 30 = -3*z, 12 = -3*f for z.
5
Solve -58*h + 32 = -54*h + 5*l, 0 = 3*l - 12 for h.
3
Solve -3*c = 3*j - 30 + 9, 4*c = 2*j + 10 for c.
4
Solve j + 3*l = -13, 5*l + 22 = -4*j - 2 for j.
-1
Solve 36*r = 39*r + 4*o, -4*o = 5*r for r.
0
Solve 0 = 3*k - 27*j + 32*j + 11, 5*k - 23 = 2*j for k.
3
Solve -t = -2*p + 9, 5*p - 28*t - 15 = -24*t for p.
7
Solve 4*k = -2*n + 10, 10 = 2*k - 0*k for n.
-5
Solve 5*g + 0*z - 3*z + 14 = 0, -4*z + 4 = -3*g for g.
-4
Solve 5*p = 4*h + 3, 5*p + 2*h = -2*h + 27 for p.
3
Solve 2 = -4*d + 7*d + 5*v, 0 = 4*v - 4 for d.
-1
Solve b = z + 6, -3*z + z = 4*b for b.
2
Solve -8*m - 4 = -13*m - 2*r, -3*m - 3*r = -15 for m.
-2
Solve s + 3*b = 5*s - 1, 8 = 3*s + 5*b for s.
1
Solve 2*d - 2 = 4*h - h, h + 3*d - 14 = 0 for h.
2
Solve 0 = 5*z + 2*l + 11, 0 = -5*z - 5*l + 1 - 6 for z.
-3
Solve -3*h - l + 5 = -15, -4*l + 25 = h for h.
5
Solve -2*x + 5*x + 2*a = 2, -4*x - 2*a + 2 = 0 for x.
0
Solve -j = 5, -3*r + j + 208 = 203 for r.
0
Solve -15*d + 20*d - 45 = -5*q, 3*q + 2*d = 23 for q.
5
Solve t = -4*q + 8*q + 3, 0 = -5*t - 4*q + 15 for t.
3
Solve 0 = 2*r - 5*r + 4*k + 5, -2*r = -4*k - 2 for r.
3
Solve 125*s - 14 = 4*f + 127*s, -4*f - 17 = 5*s for f.
-3
Solve 5*a = 4*s - 0*a + 15, 4*a = -2*s - 14 for s.
-5
Solve 5*c - 6 = 4*k, 6*c + 9 = 9*c + 3*k for c.
2
Solve -56*v + 53*v = 4*s - 1, 1 = 2*s + v for s.
1
Solve 5*v = 5*c + 10, 0 = -2*v + 4*v - 5*c - 4 for v.
2
Solve -j + 16 = 4*r,
|
{
"pile_set_name": "DM Mathematics"
}
|
*k**2 + 0*k**4. What is the third derivative of r(j) wrt j?
-180*j**2
Let g(r) = -6*r**6 - 42*r**3 - 2*r**2 + 18*r. Let a(y) = 7*y**6 + 43*y**3 + 3*y**2 - 19*y. Let o(h) = 5*a(h) + 6*g(h). Find the third derivative of o(i) wrt i.
-120*i**3 - 222
Find the second derivative of -15*i + 541*i**4 + 317*i**4 - 202*i**4 wrt i.
7872*i**2
Let o(p) = -4*p - 19. Let a be o(-6). What is the second derivative of -9*b - 7*b**2 + 7*b**a + 5*b + 7*b**2 wrt b?
140*b**3
Find the third derivative of 7*q**3 - 234*q**2 - q**4 - 11*q**3 + q**4 + 0*q**5 + 8*q**5 wrt q.
480*q**2 - 24
Let g(h) be the first derivative of h**6/6 - h**4/2 + 8*h**3/3 - h - 37. Find the third derivative of g(x) wrt x.
60*x**2 - 12
Suppose -5*p + 2*f + 74 + 36 = 0, -4*p - f + 101 = 0. Let v = p - 18. What is the third derivative of -2*z**2 + 8*z**4 - 8*z**4 - z**2 + 3*z**v wrt z?
360*z**3
Let l(q) = 12*q**3 + 6*q**2 - 27*q - 6. Let z(t) = t**3 - t**2 + 1. Let f = 47 + -53. Let o(b) = f*z(b) - l(b). Find the second derivative of o(x) wrt x.
-108*x
Let a = 53 - 53. Let i(w) be the first derivative of 0*w**2 + 5 + a*w**3 - 5/4*w**4 + 4*w. What is the first derivative of i(f) wrt f?
-15*f**2
Let l(h) = -18*h**2 - 33*h - 6. Suppose 2*c = -17*c + 19. Let x(q) = q - 1. Let f(t) = c*l(t) - 6*x(t). Find the second derivative of f(r) wrt r.
-36
Let a(x) be the third derivative of 0*x + 0 + 1/35*x**7 + 0*x**5 + 23/24*x**4 + 9*x**2 + 0*x**6 + 0*x**3. What is the second derivative of a(g) wrt g?
72*g**2
Suppose 0 = -7*w + 5*w - 2*n + 2, -w + 2*n + 7 = 0. Find the third derivative of -7*k**4 + 6*k**2 - 349*k**w - 3*k**2 + 7*k**2 + 350*k**3 wrt k.
-168*k + 6
Let g(d) = 2*d**2 - 4*d + 2. Let k be g(3). Suppose -k*p - 4 = -9*p. Find the second derivative of -5*y - 11*y**4 + 5*y**p - y**4 wrt y.
-84*y**2
Let s(q) = -5 - 9*q**5 - 5*q**5 + 29*q**2 + 7*q**5 - 5*q**5 + 5*q**3. Let o(n) = n**3 - 1. Let w(y) = -5*o(y) + s(y). Find the third derivative of w(i) wrt i.
-720*i**2
Suppose -7*n + 4 = -5*n. What is the first derivative of 19 - 12*q**2 + 4*q**n + q**2 - q**2 wrt q?
-16*q
Let k(s) be the third derivative of 3*s**7/14 - s**5/60 + 50*s**3 - 455*s**2. Find the first derivative of k(o) wrt o.
180*o**3 - 2*o
Suppose -14*x = 11 - 39. Let v(a) be the second derivative of 0*a**4 + 0*a**3 + 1/10*a**5 - 4*a + 0 + 3*a**x. Find the first derivative of v(j) wrt j.
6*j**2
Let l(m) = 46*m + 36. Let b = 20 + -31. Let r(f) = 15*f + 12. Let t(g) = b*r(g) + 4*l(g). What is the derivative of t(q) wrt q?
19
Let d(y) = y**3 - 2*y**2 + 3*y - 2. Suppose -2 = 3*x + 4*r, 8 = 3*x + 2*x + r. Let h be d(x). Differentiate 1 - 1 - h + 1 + 4*t**4 wrt t.
16*t**3
Let x(s) be the first derivative of 29*s**6/120 + 9*s**3/2 + 15*s**2 + 8. Let z(i) be the second derivative of x(i). What is the derivative of z(y) wrt y?
87*y**2
Suppose 0 = 2*z - 6*z + 28. Let t = -5 + z. Find the third derivative of 0*s**6 + t*s**2 - 3*s**2 + s**6 + 5*s**2 wrt s.
120*s**3
Let o(d) be the third derivative of 0*d + 0*d**3 - 2*d**2 + 0*d**6 + 0*d**5 + 5/8*d**4 + 1/21*d**8 + 0 + 0*d**7. Find the second derivative of o(h) wrt h.
320*h**3
Let n(b) be the first derivative of -23/6*b**6 + 0*b**3 - b**2 + 0*b**5 + 0*b + 0*b**4 - 18. What is the second derivative of n(z) wrt z?
-460*z**3
Let q(z) be the first derivative of -41*z**3/3 + 135*z**2/2 + 49. Find the second derivative of q(y) wrt y.
-82
Let z(m) be the second derivative of m + 2/15*m**6 - 4/3*m**3 + 0*m**2 + 0*m**5 + 0 + 0*m**4. Find the second derivative of z(u) wrt u.
48*u**2
Let z(u) be the second derivative of 11*u + 19/6*u**3 + 0*u**2 + 0 - 5/12*u**4. What is the second derivative of z(s) wrt s?
-10
Let r = -63 - -67. Find the second derivative of -3*i + 3*i**4 + 5*i**4 + r*i**4 wrt i.
144*i**2
Suppose -28 = -2*k - 16. Let f = -1 - -4. Find the first derivative of -2 - k*l**4 - 3 + f wrt l.
-24*l**3
Let p(i) = i**2 + i. Let g be p(1). Suppose b = 4 - g. Find the third derivative of 4 - 4 + 4*l**5 - l**b - 2*l**5 wrt l.
120*l**2
Let v(t) be the second derivative of t**5/20 + 5*t**4/12 + 689*t**2/2 + 69*t + 1. What is the derivative of v(b) wrt b?
3*b**2 + 10*b
Let r(y) be the third derivative of y**9/252 - 31*y**6/30 - 20*y**5/3 - 296*y**2. Find the third derivative of r(n) wrt n.
240*n**3 - 744
Suppose 0 = 43*d - 45*d + 62. Let s = d - 27. Find the second derivative of 27*o**2 - 3*o**s - 27
|
{
"pile_set_name": "DM Mathematics"
}
|
of -205 and 0.4.
-82
Product of -3 and 1.19.
-3.57
272.9 * -7
-1910.3
3.5 times -0.13
-0.455
-1.01*18.6
-18.786
What is the product of -0.4 and 221?
-88.4
0.1*37
3.7
-0.1 * 0.1
-0.01
Multiply 4 and 1179.
4716
What is the product of -1800 and 2?
-3600
0.013*-6
-0.078
-83 times 0.1
-8.3
3 times -84.7
-254.1
What is the product of 0.1 and -4390?
-439
Work out -0.28 * -21.
5.88
-0.169 times -0.5
0.0845
Calculate 2*1.79.
3.58
-458 times -10
4580
0.05 * 6
0.3
Calculate -495*4.
-1980
Multiply 0.6 and 0.063.
0.0378
1 * -22
-22
774*-0.5
-387
Work out 7721 * -0.4.
-3088.4
-31*-51
1581
Work out 18 * 52.
936
Product of -0.118 and -1.
0.118
What is 0.4 times -23?
-9.2
Work out 0.06 * 36.
2.16
1379*2
2758
Work out -172 * 0.3.
-51.6
Product of -5 and 478.
-2390
Multiply -0.0077 and 0.05.
-0.000385
6 times 800
4800
Work out 0 * -0.249.
0
Calculate -27.8*7.
-194.6
-1 times -0.18
0.18
2215 * 0.4
886
Calculate -48338*0.2.
-9667.6
Product of -63 and -0.03.
1.89
-2.3*70
-161
Calculate 0.09*1.27.
0.1143
-11 * 24.4
-268.4
54*0.4
21.6
What is the product of 3411 and 0.5?
1705.5
Product of -0.0285 and -4.
0.114
-0.095*-14
1.33
What is the product of -2 and 0.3?
-0.6
Work out 1659 * -4.
-6636
What is the product of -3 and -72?
216
-1285 times -0.3
385.5
What is -44601 times 0?
0
-408 * 1
-408
Product of 801 and -2.
-1602
29 times -0.0401
-1.1629
-817 * -0.1
81.7
0.5 times -0.217
-0.1085
Calculate -0.1*-0.064.
0.0064
Multiply 19 and 411.
7809
What is -7 times 0.088?
-0.616
Multiply 0.0758 and -5.
-0.379
What is the product of 2 and -3445?
-6890
Calculate 11*0.21.
2.31
Work out -0.189 * 4.
-0.756
Product of -11 and -0.065.
0.715
Multiply -50 and 12.
-600
What is 3707 times -4?
-14828
Multiply -4 and -24.56.
98.24
3 * 0
0
What is -0.028 times 15?
-0.42
Calculate 7*-1.54.
-10.78
-1065*2
-2130
0.1*-140
-14
What is the product of 8 and -1.1?
-8.8
What is 0.10069 times -3?
-0.30207
Multiply 3.3 and 1.4.
4.62
-0.1 * 2.07
-0.207
Work out 90.8 * 25.
2270
Work out 14156 * 3.
42468
Calculate 0.3*3.54.
1.062
0.03163 times 1
0.03163
-23*-0.034
0.782
139 times 18
2502
-0.15*23
-3.45
-0.3 * -0.14
0.042
2 * 0.06
0.12
What is -0.3 times 1.28?
-0.384
-26.6 * 11
-292.6
Calculate -0.1*18.
-1.8
Product of -7.403 and 5.
-37.015
468 times 3.7
1731.6
1085*0.3
325.5
Product of 3.7 and 21.
77.7
3814 * 0.3
1144.2
35*3
105
Calculate 2*-37.
-74
23.1 * -0.11
-2.541
-44.2*0.3
-13.26
What is the product of 0 and -0.019?
0
Multiply -2.157 and 3.
-6.471
5 * -0.05949
-0.29745
-0.28 times -0.2
0.056
Product of -3 and -161.
483
Work out 0.2 * -7.86.
-1.572
356 * 0.4
142.4
Work out 4 * -0.318.
-1.272
Multiply 0 and 0.238.
0
Work out 28 * 39.
1092
What is 5 times 1?
5
1 * -3
-3
Product of 8 and 52.
416
-0.06*-595
35.7
Product of -0.02088 and -0.3.
0.006264
What is the product of -0.27 and 0.11?
-0.0297
What is the product of -0.1863 and 0.4?
-0.07452
Work out -7.3 * 21.
-153.3
Multiply 0.5 and 0.1.
0.05
Product of 0.68 and -0.03.
-0.0204
What is the product of 106 and -5?
-530
0.514*0
0
What is the product of -1.252 and -0.2?
0.2504
Calculate -7.1*-199.
1412.9
Work out 18 * 3.
54
Calculate 2*-7.5.
-15
Multiply -1.7 and 0.033.
-0.0561
-0.45 * -0.5
0.225
Product of -2 and 344.
-688
Multiply -4721 and -0.1.
472.1
Work out -0.1414 * -3.
0.4242
0.2*51
10.2
-160.4*-0.3
48.12
Product of 1 and 0.16.
0.16
What is -402 times -1?
402
Product of -514 and 0.3.
-154.2
2 times -222
-444
Calculate 2*0.6.
1.2
Work out -218 * 0.01.
-2.18
Calculate -0.5*4638.
-2319
Work out -4.7 * 46.7.
-219.49
5 times 169
845
Multiply 0.05 and 14.45.
0.7225
Calculate -7*-7.3.
51.1
Multiply -6 and 140.
-840
What is -4 times -16.4?
65.6
What is 681 times 1?
681
4 * -0.0722
-0.2888
What is 21 times 0?
0
0.1 * -1000
-100
-3 * -323
969
What is the product of -91 and -0.49?
44.59
Work out 0.12 * -106.
-12.72
0.15 times -3.03
-0.4545
Calculate 3790*-0.3.
-1137
-2052*5
-10260
Product of -15.3 and -2.7.
41.31
Multiply 2 and -5567.
-11134
What is 8.48 times 0.5?
4.24
Multiply 598 and 10.
5980
What is 0.5 times 57?
|
{
"pile_set_name": "DM Mathematics"
}
|
18887 is divided by 10.
7
Calculate the remainder when 132 is divided by 6.
0
What is the remainder when 5331 is divided by 21?
18
Calculate the remainder when 2118 is divided by 53.
51
What is the remainder when 638 is divided by 92?
86
Calculate the remainder when 184 is divided by 64.
56
Calculate the remainder when 1461 is divided by 210.
201
What is the remainder when 235 is divided by 59?
58
Calculate the remainder when 86 is divided by 9.
5
Calculate the remainder when 770 is divided by 68.
22
Calculate the remainder when 427 is divided by 108.
103
Calculate the remainder when 187 is divided by 21.
19
What is the remainder when 2105 is divided by 34?
31
What is the remainder when 545 is divided by 251?
43
What is the remainder when 359 is divided by 49?
16
Calculate the remainder when 1164 is divided by 230.
14
Calculate the remainder when 669 is divided by 67.
66
Calculate the remainder when 3243 is divided by 83.
6
What is the remainder when 269 is divided by 15?
14
Calculate the remainder when 453 is divided by 79.
58
Calculate the remainder when 5604 is divided by 10.
4
What is the remainder when 398 is divided by 14?
6
What is the remainder when 78 is divided by 12?
6
Calculate the remainder when 271 is divided by 93.
85
What is the remainder when 345 is divided by 83?
13
Calculate the remainder when 61 is divided by 15.
1
What is the remainder when 521 is divided by 5?
1
What is the remainder when 2399 is divided by 793?
20
Calculate the remainder when 457 is divided by 119.
100
What is the remainder when 27 is divided by 8?
3
What is the remainder when 111 is divided by 54?
3
Calculate the remainder when 129 is divided by 75.
54
Calculate the remainder when 5013 is divided by 114.
111
What is the remainder when 325 is divided by 157?
11
What is the remainder when 49 is divided by 13?
10
What is the remainder when 4315 is divided by 96?
91
Calculate the remainder when 79 is divided by 14.
9
Calculate the remainder when 98 is divided by 20.
18
What is the remainder when 289 is divided by 21?
16
Calculate the remainder when 6008 is divided by 12.
8
Calculate the remainder when 72 is divided by 69.
3
What is the remainder when 223 is divided by 76?
71
Calculate the remainder when 356 is divided by 154.
48
What is the remainder when 406 is divided by 102?
100
Calculate the remainder when 504 is divided by 125.
4
Calculate the remainder when 4748 is divided by 26.
16
What is the remainder when 967 is divided by 192?
7
Calculate the remainder when 131 is divided by 12.
11
What is the remainder when 51 is divided by 8?
3
What is the remainder when 407 is divided by 12?
11
What is the remainder when 142 is divided by 16?
14
Calculate the remainder when 2469 is divided by 2457.
12
Calculate the remainder when 734 is divided by 49.
48
Calculate the remainder when 61 is divided by 16.
13
What is the remainder when 647 is divided by 153?
35
Calculate the remainder when 226 is divided by 41.
21
What is the remainder when 72 is divided by 27?
18
What is the remainder when 348 is divided by 28?
12
Calculate the remainder when 179 is divided by 97.
82
Calculate the remainder when 4370 is divided by 43.
27
Calculate the remainder when 168 is divided by 17.
15
Calculate the remainder when 717 is divided by 3.
0
What is the remainder when 168 is divided by 10?
8
What is the remainder when 2169 is divided by 114?
3
Calculate the remainder when 287 is divided by 37.
28
What is the remainder when 3058 is divided by 10?
8
Calculate the remainder when 278 is divided by 71.
65
Calculate the remainder when 755 is divided by 110.
95
Calculate the remainder when 1580 is divided by 88.
84
Calculate the remainder when 399 is divided by 54.
21
Calculate the remainder when 7 is divided by 7.
0
Calculate the remainder when 3719 is divided by 53.
9
Calculate the remainder when 400 is divided by 137.
126
Calculate the remainder when 10123 is divided by 135.
133
What is the remainder when 7789 is divided by 38?
37
What is the remainder when 432 is divided by 25?
7
Calculate the remainder when 1430 is divided by 356.
6
Calculate the remainder when 58 is divided by 15.
13
Calculate the remainder when 324 is divided by 69.
48
What is the remainder when 523 is divided by 46?
17
Calculate the remainder when 56428 is divided by 513.
511
What is the remainder when 1259 is divided by 125?
9
What is the remainder when 646 is divided by 6?
4
Calculate the remainder when 88 is divided by 57.
31
What is the remainder when 2247 is divided by 45?
42
What is the remainder when 112 is divided by 40?
32
What is the remainder when 1227 is divided by 307?
306
What is the remainder when 58 is divided by 21?
16
Calculate the remainder when 338 is divided by 31.
28
What is the remainder when 825 is divided by 9?
6
What is the remainder when 120 is divided by 14?
8
Calculate the remainder when 1174 is divided by 42.
40
Calculate the remainder when 149 is divided by 17.
13
What is the remainder when 417 is divided by 146?
125
Calculate the remainder when 359 is divided by 39.
8
Calculate the remainder when 149 is divided by 42.
23
What is the remainder when 99 is divided by 26?
21
What is the remainder when 155 is divided by 75?
5
Calculate the remainder when 67 is divided by 50.
17
Calculate the remainder when 813 is divided by 91.
85
What is the remainder when 28833 is divided by 267?
264
What is the remainder when 294 is divided by 4?
2
Calculate the remainder when 57 is divided by 47.
10
What is the remainder when 1876 is divided by 172?
156
Calculate the remainder when 390 is divided by 36.
30
Calculate the remainder when 28364 is divided by 9.
5
What is the remainder when 354 is divided by 43?
10
Calculate the remainder when 2766 is divided by 42.
36
Calculate the remainder when 2347 is divided by 196.
191
What is the remainder when 26 is divided by 5?
1
Calculate the remainder when 1237 is divided by 46.
41
Calculate the remainder when 395 is divided by 195.
5
Calculate the remainder when 144 is divided by 51.
42
What is the remainder when 463 is divided by 39?
34
Calculate the remainder when 258 is divided by 88.
82
What is the remainder when 62 is divided by 22?
18
Calculate the remainder when 282 is divided by 133.
16
Calculate the remainder when 706 is divided by 129.
61
Calculate the remainder when 615 is divided by 14.
13
Calculate the remainder when 578 is divided by 95.
8
What is the remainder when 111 is divided by 31?
18
Calculate the remainder when 765 is divided by 251.
12
Calculate the remainder when 692 is divided by 24.
20
Calculate the remainder when 238 is divided by 125.
113
Calculate the remainder when 100 is divided by 21.
16
What is the remainder when 180 is divided by 13?
11
Calculate the remainder when 281 is divided by 46.
5
Calculate the remainder when 4785 is divided by 435.
0
Calculate the remainder when 1925 is divided by 381.
20
Calculate the remainder when 1671 is divided by 210.
201
Calculate the remainder when 53 is divided by 21.
11
Calculate the remainder when 779 is divided by 38.
19
What is the remainder when 762 is divided by 97?
83
Calculate the remainder when 45 is divided by 16.
13
What is the remainder when 97 is divided by 14?
13
What is the remainder when 129 is divided by 61?
7
What is the remainder when 677 is divided by 68?
65
What is the remainder when 251 is divided by 72?
35
Calculate the remainder when 2335 is divided by 36.
31
What is the remainder when 236 is divided by 52?
28
What is the remainder when 33 is divided by 20?
13
What is the remainder when 1823 is divided by 606?
5
What is the remainder when 204 is divided by 14?
8
Calculate the remainder when 907 is divided by 92.
79
What is the remainder when 176 is divided by 98?
78
Calculate the remainder when 1797 is divided by 366.
333
Calculate the remainder when 6449 is divided by 1074.
5
Calculate the remainder when 168 is divided by 59.
50
What is the remainder when 226 is
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 3*k - 2 = -29. Let q(z) = k*n(z) + r(z). Calculate the remainder when 28 is divided by q(-12).
13
Suppose -66*u + 28*u = 17252. Let a = u - -514. Calculate the remainder when a is divided by 13.
8
Let r(s) = s**2 + 9*s - 306. Suppose -49 = 3*i - 190. What is the remainder when r(18) is divided by i?
39
Suppose 127 = -10*y + 387. What is the remainder when 646 is divided by y?
22
Suppose 33*m - 280 = 26*m. Let v be (-52)/6*(8 + -5). Let h = v + 47. Calculate the remainder when m is divided by h.
19
Suppose -b + 2133 = a, -5*a + b + 797 + 9838 = 0. Calculate the remainder when a is divided by 27.
22
Let f(m) = 103*m**2 - 22*m + 3. What is the remainder when f(-4) is divided by 7?
3
Let h(v) = -47*v - 2. Suppose 0 = 5*m + 2*o + 103, -2*m + 2*o - 3*o - 42 = 0. Calculate the remainder when h(-1) is divided by ((2 - m) + 3)*1.
21
Suppose 0 = r + 3, -2*m + 4*m + 2*r + 6 = 0. Let j = 13 + m. What is the remainder when (-4)/(-2) - 1 - -34 is divided by j?
9
Let o(u) = 116*u + 765. Let k(t) = 57*t + 383. Let s(r) = -5*k(r) + 2*o(r). Calculate the remainder when s(-8) is divided by 21.
18
Suppose 4*y = t + 12, 2*t = 3*y - 5*y + 16. Suppose -y*w - 138 = -3*p, -4*w = -4*p - p + 238. What is the remainder when p is divided by 4?
2
Let w = 340 - 233. Suppose -27 = -b + 13*r - 8*r, 5*b + r = 135. Calculate the remainder when w is divided by b.
26
Let y = 4644 + -4622. Calculate the remainder when (-1)/(-4) + (-454)/(-8) is divided by y.
13
Suppose 124 = d + 21. Let a = 113 - d. Calculate the remainder when -3 - (4 - 7) - -23 is divided by a.
3
What is the remainder when 608 is divided by (176/6)/(((-50)/(-30))/5)?
80
Suppose -3*v + 3 = -3*t, -v + 0*t - 8 = -4*t. Suppose 0 = -v*b + 16, -5*i + 8*b = 4*b - 424. Calculate the remainder when i is divided by 50.
38
Let z(y) = -y**2 + y - 25. Let v be z(0). Calculate the remainder when (2*1 + 1)*197/((-40779)/(-1587)) is divided by v/(-3) + (-2)/(-3).
5
Let r = 69184 - 69178. Let w = -16 + 26. What is the remainder when w is divided by r?
4
Let m(q) = q**2 - 3*q. Let u be m(4). Suppose y + u*s - 21 = 0, 5*s + 2 = 7. What is the remainder when -1 + (464/(-8)*-1 - 8) is divided by y?
15
Suppose 3*f = 2*q + 7*f + 4, 0 = -3*q - f + 9. Calculate the remainder when (q - 1) + 296/4 is divided by 14.
7
Suppose -2*q + 12 = 102. Let d be 4/(-18) - 550/q. Let u = d - -39. Calculate the remainder when u is divided by 13.
12
Let n(r) = -r**3 + 5*r**2 - 4*r + 4. Let b be n(4). Suppose 0 = b*c + 292 - 72. Let h = -50 - c. What is the remainder when h is divided by 4?
1
Calculate the remainder when 692 is divided by (16 + -25)/(54/(-462)).
76
Let i = -657 + 325. Let k = i - -470. Calculate the remainder when k is divided by 50.
38
Suppose -1149 + 121 = -4*p. What is the remainder when p is divided by (-91)/((-18)/720*70)?
49
What is the remainder when 2098 is divided by (255 - 246)*(-11)/(-3)?
19
Let b = 968 - 856. Calculate the remainder when 1451 is divided by b.
107
Suppose -504 = -12*p + 3*p. Let w = 58 - p. What is the remainder when w is divided by 1?
0
Suppose -3*y + 8*y - 1218 = 4*r, y - 248 = 3*r. Let j(c) = 5*c**3 - 2*c**2 + 8*c - 7. Calculate the remainder when y is divided by j(2).
37
Let j(z) = z - 10. Let l(x) = -1. Let k(r) = -j(r) + 2*l(r). Calculate the remainder when 2 is divided by k(6).
0
Let h = 118 - 115. What is the remainder when ((-2)/h*1)/(6/(-1071)) is divided by 15?
14
Let c(q) = 84*q + 36. Let k be c(21). What is the remainder when 97 is divided by ((-12)/(-9))/(48/k)?
47
Suppose 3*o - 32 = -o. Let w be 2352/48 + -2 + -2. Suppose -o*u - 3*t = -3*u - 85, 5*t + w = 5*u. What is the remainder when 25 is divided by u?
11
Suppose 0*t + 3*t + 3*k = 30, -2*k + 10 = 0. Suppose -t*r + 1332 = -778. What is the remainder when r is divided by 17?
14
Let p = -29 - -27. Let g = 9 + p. Let b(a) = -a**3 - 15*a**2 + 15*a - 11. Calculate the remainder when g is divided by b(-16).
2
Let y = -5352 - -6037. What is the remainder when y is divided by 83?
21
Suppose 227*g + 184*g - 2005 = 2927. Let o = 23 - -11. What is the remainder when o is divided by g?
10
Let a(n) = 15*n**2 - 384*n - 11. Calculate the remainder when 495 is divided by a(26).
60
Let h(q) = 121*q - 421. Calculate the remainder when 2028 is divided by h(4).
12
Suppose 4*g - 482 = 5*t, 3*g - 10*t = -5*t + 364. Let i = -493 - -517. Calculate the remainder when g is divided by i.
22
Let y = 175 - 162. Let m(a) = -a**3 + 14*a**2 - 8*a + 5. What is the remainder when m(y) is divided by 17?
2
Suppose -6*y + 2*y = -604. Suppose 11*u + 29*u = 320. Let l(d) = -d**3 + 7*d**2 + 13*d + 11. Calculate the remainder when y is divided by l(u).
49
Suppose -967*o + 954*o = -2600. What is the remainder when 205 is divided by o?
5
Let f(a) = 7*a**2 - 31*a - 265. Calculate the remainder when 922 is divided by f(11).
199
Let s(x) = -19*x + 834. Calculate the remainder when 5031 is divided by s(43).
16
Let i(o) = -9*o - 25. Let c be i(-3). Suppose 3*n - 56 = c*n. Calculate the remainder when n is divided by 15.
11
Suppose -384*b = -385*b + 5*y + 207, -447 = -2*b - y. Calculate the remainder when 294 is divided by b.
72
Let d be 82/9 - 22/198. Calculate the remainder when 295 is divided by 181/5 - ((-246)/(-30) - d).
36
Suppose 0 = -5*a + 7*a - 16. Suppose w + 14 = a*w. Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
of q?
9
Let o(r) be the first derivative of r**3 + 3*r**2 - 10*r - 12. What is the tens digit of o(-6)?
6
Let k(j) = -j**3 + 5*j**2 - j + 5. Let c be k(5). Let y(h) = -h + 20. Let l be y(18). Suppose c = -3*b - l*b + 55. What is the tens digit of b?
1
What is the units digit of -263*(3 + -2)*-2?
6
Let p be ((-2)/(-2))/(26/(-130)). Let o be ((-28)/6)/((-2)/3). Let a = o + p. What is the units digit of a?
2
Suppose o = 3*o + 3*g + 6, -5*o + 31 = -4*g. Suppose o*f - f - 6 = 0. Let i = 14 - f. What is the units digit of i?
1
Let p = 23 + -17. Let g = p - 3. What is the units digit of 15/(-10)*(g - 39)?
4
Suppose -2310 = -40*i + 33*i. What is the units digit of i?
0
Let p(z) = z**2 + 19. Let q be p(0). Suppose 0 = -14*m + q*m - 695. What is the units digit of m?
9
Suppose -336 = -2*k + n + 1233, 4*k - 3141 = -n. What is the hundreds digit of k?
7
Suppose -3*p = -5*y - 4, 0 = 2*p - 5*y + 2 - 3. Suppose 6 = p*l + 3. What is the tens digit of l*10*(-112)/(-35)?
3
Suppose -3*m + 0*m = -330. Let s = m + -76. What is the units digit of s?
4
Suppose 0 = -m + 32 + 36. Suppose i + 5*k = -i + 122, 0 = -i + k + m. Suppose -4*a = 4*g - 14 - i, 2*g + 3*a - 43 = 0. What is the tens digit of g?
1
Let h = 15 - 12. Suppose 52 = 5*t - h*p - 135, t - 3*p - 35 = 0. What is the units digit of t?
8
Suppose 9*b - 4*p = 11*b - 5826, 4*b + p - 11631 = 0. What is the units digit of b?
7
Let z = 0 - -4. Suppose -13 = z*j - 5. What is the units digit of 20 + (0 - (-4)/j)?
8
Suppose 0 = -5*h, h - 1 + 7 = 3*y. Let n be 168/78 + y/(-13). Suppose n*g + 8 = -5*i - 7, -2*i = 2*g. What is the units digit of g?
5
Let b be 1*((-4)/16 + 0)*-28. Suppose -130 = b*c - 1908. What is the tens digit of c?
5
Let n(k) = -k**2 - k + 2. Suppose -r = -2*r. Let s be n(r). Suppose -2*j + 7*j - s*q = 84, 2*q + 12 = j. What is the units digit of j?
8
Let d(j) = -j**3 - 14*j**2 - 140*j + 4. What is the tens digit of d(-10)?
0
Suppose -l - 728 = -2*g, 0 = 3*g + l + 3*l - 1070. What is the tens digit of g?
6
What is the tens digit of (-2)/((-3 + 2)/359)?
1
Let w(d) = d**3 + 9*d**2 + 7*d - 2. Let z be w(-8). Let a(s) = 16*s - 6. What is the tens digit of a(z)?
9
Let f = 3 - 3. Suppose f = -q + 4*p + 9, 2*q - 5*p + 2*p - 13 = 0. Suppose 1 = q*v - 134. What is the tens digit of v?
2
Let i(p) = -p**3 - 3*p**2 + 5*p + 11. Let u(k) = k + 4. Let m be u(-9). Let q be i(m). Suppose -q = -3*x + x. What is the units digit of x?
8
Let k(q) = q**3 + 4*q**2 - q - 2. Let i be k(-3). Suppose -5*g - 66 = -3*d, 0 = g + d - 0*d + i. What is the units digit of (g/10)/((-22)/605)?
3
What is the tens digit of (15 - 19) + 0 + 0 + 785?
8
Let h be ((-126)/30)/(2/80). What is the units digit of 6/21 - (-4)/(-14) - h?
8
Let r(h) = 4*h**2 - 14*h + 10. Let a be r(5). What is the tens digit of 2184/a + 3/(-5)?
5
Let p = -4122 - -5949. What is the units digit of p?
7
Suppose -17*d + 504 = -15*d. Suppose 9*o - 189 = d. What is the tens digit of o?
4
Let a be (-4)/(2*8/(-12)). Suppose -5*w + 3*g = -28, a*w - g - 4*g - 20 = 0. Suppose 4*k = -12, -n - 2*n - w*k + 66 = 0. What is the tens digit of n?
2
Suppose -16 = 27*t - 31*t. What is the units digit of t*-1 + 230 + 17?
3
Let d(c) = 5 - 279*c - 1 - 2 - 4. What is the hundreds digit of d(-1)?
2
Suppose 12*f = 7*f - 4*a + 18780, 5*f + 3*a = 18785. What is the tens digit of f?
6
Let l = 20 - 16. Suppose l*u - 72 = 3*u. Let r = u + -38. What is the tens digit of r?
3
Let x(t) = 2*t**2 + 24*t - 26. Let i be x(-13). Suppose -21*m + 19*m + 18 = i. What is the units digit of m?
9
Let l = 136 + -61. Let w = 436 + -425. Suppose -2*p + l + w = 0. What is the tens digit of p?
4
Let g(q) = -52*q + 1. Let i be g(-1). Let n = -14 + i. What is the units digit of n?
9
Suppose -3*n + 12 = -4*d, 3*n + 2*n + 5*d - 20 = 0. Suppose -n*o + 151 + 421 = 0. What is the units digit of o?
3
Suppose 5*h + 1312 = 4*l, 2*l + 2*h - 783 = -145. What is the units digit of l?
3
Suppose -2*t = 5*s + 30, -3*s - 2*t - 24 + 6 = 0. Let c(q) = -q**3 - 6*q**2 - 3*q. What is the units digit of c(s)?
8
Let g(p) = 2*p + 30. Let q be g(-14). Suppose q*h - 45 - 13 = 0. What is the units digit of h?
9
Suppose -30459 = -52*x + 159653. What is the thousands digit of x?
3
Suppose 896 = 3*n - 5*g, -3*n - 8*g + 3*g = -946. Let q = n - 78. What is the hundreds digit of q?
2
Let p = -542 - -841. What is the hundreds digit of p?
2
Let i be (2 - 3) + 5 + 2. Suppose -7*g = -i*g - 127. What is the units digit of g?
7
Let v = -10 - -14. Let d(f) = 0*f**3 + v*f**3 + 10*f - 3*f**3 - 15*f**2 + 7*f. What is the units digit of d(14)?
2
Suppose -2*q + 6*f - f - 5 = 0, f = 3. Suppose -2*a = -q*b - 1 - 1, a - b -
|
{
"pile_set_name": "DM Mathematics"
}
|
9/5236 - 218329/602140. Find the common denominator of l and -51/184.
920
Suppose 0 = -2*l + l + 3*v - 3, -18 = -l - 4*v. Suppose 0 = -o + 1 - l. Find the common denominator of 23/11 and o/(-10) + (-47)/22.
11
Let d = -8 + 8. Suppose 3 + 1 = -4*c, d = -4*q + 3*c + 51. Suppose 2*z - 15 = 17. Calculate the least common multiple of q and z.
48
Let s = -30 - -82. Calculate the lowest common multiple of (-4)/(-2) - (-32)/4 and s.
260
Let m = 4779 + -52607/11. What is the common denominator of 24522/(-16104) + -1 + 1/4 and m?
11
Let h = -2287/8 - -277. Let g = -284043/10 + 28444. Let a = g - -4/5. Calculate the common denominator of h and a.
8
Let s = 1375 + -1131. Calculate the smallest common multiple of 7 and s.
1708
Let r(z) = z**3 + 4*z**2 - 11*z - 18. Calculate the lowest common multiple of 10 and r(-5).
60
Let z be (488/3456)/(2/(-102)). Let g = -85/16 - z. What is the common denominator of (-50)/(-33)*(7 - 4) and g?
99
Let a = -66 + 844. Let z be (a/3)/((-70)/(-15)). Let u = z + -3589/70. Find the common denominator of 73/6 and u.
30
Let j be (-112)/8 + -2*2. Let p = j - -13. What is the lowest common multiple of 2/p - 235/(-25) and 7?
63
Let l(d) = 5*d**3 - 4*d**2 - 1. Let v be l(4). Calculate the common denominator of 2/9 - (-379)/198 and 10/4*v/(-175).
154
What is the least common multiple of (-7)/((-42)/(-12)) + 11 and 2*(-1 - (3 + -5))?
18
Let g = 161 - 131. What is the least common multiple of g and 30?
30
Suppose 74 = 2*o - 22. Suppose o = 3*q - 3*d, 4*q - 18 - 44 = 2*d. What is the least common multiple of q and 33?
165
Let a = 1/52 - -21/260. Let c be (-1)/((-13)/(-7) + -2). What is the common denominator of a and c/11*12/14?
110
What is the common denominator of 59/6 and 33/165 + 606/(-80)?
24
Suppose 1294 - 5094 = -19*m. Calculate the lowest common multiple of m and 120.
600
Suppose -f = 0, 4*o - 11 = -5*f + 1. Suppose o*p - 5*b = 9, 5*p = b - 2*b + 43. Suppose -2*t = -6*t + 72. Calculate the lowest common multiple of p and t.
72
Let l(f) = -17*f + 274. What is the lowest common multiple of l(15) and 114?
114
Calculate the common denominator of (-2)/(240/(-1134)) + (-3 - 1) and 1 + 0 + 71/(-20).
20
Suppose 2*d - d - 427 = 0. Let q = 700 + -658. Calculate the least common multiple of d/q - (-2)/(-12) and 3.
30
Suppose -9*t + 300 = -3*t. Calculate the least common multiple of 40 and t.
200
Let l = 14 + -14. Suppose l = 3*c + 9, 5*y + 8 - 33 = 5*c. Suppose 9*n = 4*n + 50. Calculate the smallest common multiple of y and n.
10
Let z be 3 - 1/6*1351. Let u = z + 655/3. Let g = -6845/8 - -1719/2. Calculate the common denominator of u and g.
24
Let s = -153 - -153. Suppose s = -19*l + 17*l + 10. Calculate the lowest common multiple of l and 2.
10
Let w = 11 + -9. What is the lowest common multiple of w and 3/2*(-3)/(-18)*8?
2
Calculate the common denominator of 0 + (-212)/640*2 and -85/16.
80
What is the common denominator of (-3741)/(-1392) + -1 + (-3)/(-2) and -101/2?
16
Let f = 36820651/1838 + -20033. Let k = -82689/12866 + f. Calculate the common denominator of k and 1 - (0 + (-86)/(-16)).
56
Let b(x) = -x**2 + 19*x - 14 + 3*x - x. Let d be b(20). Let k = 28 - d. Calculate the least common multiple of k and 12.
132
Calculate the common denominator of (-2)/5 - 22358/(-53970) and -25/9.
2313
Suppose 0 = 3*c - 4*c + 3. Suppose -5*g = -6*g + 4. Suppose g*p + 5 + 2 = -5*w, -2*w = p + 4. What is the lowest common multiple of p and c?
6
Suppose 5*q - 6 = 7*q. Calculate the common denominator of 15/220*(72 + 2) and (-2)/q*(-308)/(-16).
66
Let b(j) = j + 11. Let r be b(0). Suppose -5*s = -r*s + 108. Calculate the least common multiple of s and 27.
54
Let c(g) = g + 1. Let j be c(-6). Find the common denominator of 31/2 and (-2)/12*(0 - j - -39).
6
Find the common denominator of 429/81*(-3)/2 and 246/420*-3 + (-4)/(-10).
126
Let o(p) = p**2 - 4*p + 3. Suppose 4 - 9 = -k. Suppose -5*x = 0, -2*a - 24 = -5*x - 56. What is the least common multiple of o(k) and a?
16
Let i(l) = -2*l + 77. Let v be i(-26). Let y = -880/7 + v. What is the common denominator of y and 0 + (-19)/(-9) + -1?
63
Suppose -3*w = -5*a + 20, -3*a + 11 = 2*w - 4*w. Calculate the least common multiple of 8/(-20) - 7/(-5) and a.
7
Let w = 24 + -17. Suppose 4*u = 2*h + 26, -2*u - h - h - 2 = 0. What is the smallest common multiple of w and u?
28
Suppose 260 + 780 = 13*q. Let d = q - 72. What is the lowest common multiple of d and 4?
8
Let a(j) = -j + 58. Calculate the smallest common multiple of 5 and a(-7).
65
Let r = 438 + -396. What is the smallest common multiple of 4 and r?
84
Let w = -62 + 132. Let y = w + -4. What is the smallest common multiple of 10 and y?
330
Let g = 418 + -386. Calculate the lowest common multiple of g and 252.
2016
Suppose -3*q + 672 - 207 = 0. What is the lowest common multiple of q and 310?
310
Let a(p) be the third derivative of p**5/60 - p**2. Suppose 0 = -5*q - k + 62, 5 + 24 = 2*q - k. What is the least common multiple of q and a(3)?
117
Suppose -n - 4*u + 2*u + 6 = 0, u + 46 = 3*n. Calculate the smallest common multiple of 6/9 + (-12)/(-9) and n.
14
Suppose 2*s - 142 = -4*p, 3*p - p + 4*s = 86. Let t(f) = 3*f**2 - 390*f + 1551. What is the smallest common multiple of p and t(4)?
429
Let x be 35/20*19246/11. Let a = x + -3059. Find the common denominator of 99/8 and a.
88
Let u(k) = 3*k**2 - 23*k**3 + 0*k - 1 + 3*k + 19*k**3 - k. Calculate the least common multiple of 2 and u(-1).
4
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 410861*l.
74*l
Collect the terms in -238*d**3 - 679*d**3 + 879*d**3.
-38*d**3
Collect the terms in 425*i - 2656*i + 99*i.
-2132*i
Collect the terms in 2*v**2 - 7028 - 2*v**2 + 615 + 0*v**2 + v**2.
v**2 - 6413
Collect the terms in 1014*m**2 - 1014*m**2 + 773*m**3 - 464*m**3 - 5227*m**3.
-4918*m**3
Collect the terms in -405*z**3 - 671*z**3 + 1031*z**3.
-45*z**3
Collect the terms in -151*p**2 + 772*p**2 - 208*p**2 - 42*p - 211*p**2 + 42*p - 206*p**2.
-4*p**2
Collect the terms in -2670*q + 420494 - 420494.
-2670*q
Collect the terms in -66342*f**2 + 5*f + 3*f + 66293*f**2 - 8*f.
-49*f**2
Collect the terms in 233305236 - 233305236 + 17*u.
17*u
Collect the terms in -4*t**2 - 19*t**2 + 1059*t**3 + 23*t**2 + 196*t**3.
1255*t**3
Collect the terms in -1058 - 232 + 3*w**2 + 24 - w.
3*w**2 - w - 1266
Collect the terms in -2972*b - 13816*b - 6 + 4 - 30896*b.
-47684*b - 2
Collect the terms in -341 - 12*o**2 + 5098*o + 683 - 342.
-12*o**2 + 5098*o
Collect the terms in -227*s + 137*s + 2*s.
-88*s
Collect the terms in -277*a**3 - 115*a - 115*a - 94*a + 228*a + 96*a.
-277*a**3
Collect the terms in -3*y + 1 + 9*y - 19*y - 1 + 17.
-13*y + 17
Collect the terms in -114861*m**2 - 236871*m**2 - 209641*m**2 + 120277*m**2.
-441096*m**2
Collect the terms in -77 - 83 - 79 + 315 - 2*x**2 + 36*x**2 - 78.
34*x**2 - 2
Collect the terms in -1729*q**2 + 885*q**2 - 1526*q**2 - 483*q**2.
-2853*q**2
Collect the terms in 221*n + 82*n**2 + 97*n - 14*n**3 - 76*n**2.
-14*n**3 + 6*n**2 + 318*n
Collect the terms in -74 + 9780*q**2 + 9761*q**2 - 19537*q**2.
4*q**2 - 74
Collect the terms in 2*k - 30*k - 18*k + 54*k - 45*k - 4*k.
-41*k
Collect the terms in 865*j + 3875*j + 4384*j.
9124*j
Collect the terms in 32 - 96 + 205113*o - 422 - 205112*o.
o - 486
Collect the terms in 7*c + 50*c + 0*c + 16*c - 88*c + c + 6*c.
-8*c
Collect the terms in 4 - 52*j - 397*j**2 - 508*j**2 - 57*j.
-905*j**2 - 109*j + 4
Collect the terms in 1560 + 1559 - 527 - 2594 + 8*h.
8*h - 2
Collect the terms in -13596*d + 3 + 4468*d + 4417*d + 3892*d.
-819*d + 3
Collect the terms in 251 + 4*x - 738 + 250 - 3*x**2 + 247.
-3*x**2 + 4*x + 10
Collect the terms in 105 - 48 - 61 - 230*t - 14*t**2 + 15*t**2.
t**2 - 230*t - 4
Collect the terms in -5143512*z**2 + 5143512*z**2 - 71858*z**3.
-71858*z**3
Collect the terms in -487*w + 2303*w + 3283*w.
5099*w
Collect the terms in 168*c**2 + 129*c**2 + 199*c**2 - 633*c**2 + 163*c**2.
26*c**2
Collect the terms in -13045*u**3 - 34*u + 13047*u**3 - 44*u**2 + 13*u + 21*u - 4*u**2.
2*u**3 - 48*u**2
Collect the terms in -4*y - 3408031 - 3408037 + 13632109 + 2*y - 3408037 - 3408004.
-2*y
Collect the terms in -12425*w + 23 - 12441*w + 37376*w - 23 - 12428*w.
82*w
Collect the terms in -51416 + 21*k**3 + 51402 - 238*k**3.
-217*k**3 - 14
Collect the terms in -11993*p + 5002*p + 1600*p - 23343*p.
-28734*p
Collect the terms in 452*b**2 - 153*b**2 + 293*b**2 + 122*b**2.
714*b**2
Collect the terms in -61 - 39*v**2 - 62 - 109 + 232.
-39*v**2
Collect the terms in -54978*t**3 - 55484*t**3 - 7*t + 110456*t**3.
-6*t**3 - 7*t
Collect the terms in 131*o**3 + 10*o**3 - 33*o**3 + 17*o**3 - 25*o**3 + 1 - 10*o**3.
90*o**3 + 1
Collect the terms in 35*v + 3 + 60*v + 34*v - 2 - 20*v.
109*v + 1
Collect the terms in 1003*m + 999*m + 741*m - 2680*m.
63*m
Collect the terms in 1420*b**3 - 1714*b**3 - 1219*b**3 - 1788*b**3 - 6171*b**3.
-9472*b**3
Collect the terms in 15917*w**2 + 347*w**2 - 63*w + 8*w + 55*w.
16264*w**2
Collect the terms in -24*n**3 + 0 + 102*n**3 - 151*n**3 + 1 - 1 - 1.
-73*n**3 - 1
Collect the terms in -676214933*z + 676214931*z - 42 + 11.
-2*z - 31
Collect the terms in 3585910 + 36*d**2 - 7172155 + 3586245.
36*d**2
Collect the terms in -11083 - 2*y**2 - 11081 - 7*y**3 - 11077 - 11080 + 44321.
-7*y**3 - 2*y**2
Collect the terms in 83362 - 83360 - 200*r**2 + 26*r**2.
-174*r**2 + 2
Collect the terms in -12141995*t**3 - 6*t + 6*t + 154836*t**3.
-11987159*t**3
Collect the terms in -23*p**2 + 10124399041*p**3 - 10124399039*p**3 + 23*p**2.
2*p**3
Collect the terms in 80*t**2 - 25*t**2 + 23*t - 14*t**2 - 19*t**2 - 20*t**2 - 9*t**2.
-7*t**2 + 23*t
Collect the terms in 3 - 13*z + 345*z**2 + 1203*z**2 - 2 + 5*z + 7*z.
1548*z**2 - z + 1
Collect the terms in -1418*q - 1953*q + 3372*q - 57.
q - 57
|
{
"pile_set_name": "DM Mathematics"
}
|
b. Calculate the common denominator of k and 95/16.
16
Suppose -1 = s - 0*s + 2*i, -3*i = 4*s - 6. What is the lowest common multiple of 1/2*(121 + s) and 12?
372
Let j = 17/80 + -1771/240. What is the common denominator of j and -251*7/798 + 3?
114
Let j = -34 - -118. Let b be (-1101)/j - 3/21. Let d = -81/4 + b. What is the common denominator of 35/26 and d?
26
Suppose -3*g = 3*o - 4*o - 24, 3*o + 3*g = -48. Calculate the least common multiple of (-2)/(-7) - (-68)/7 and o/6 + 7/1.
20
Let n = 19 + -4. Calculate the smallest common multiple of n and 33.
165
Suppose -37*u + 6734 = 54*u. Calculate the lowest common multiple of u and 1.
74
Suppose 0 = 2*x - 2*r - 24, 0 = -r - 2*r - 12. Let f(p) = p**3 - 11*p**2 + 23*p + 17. Calculate the smallest common multiple of x and f(8).
72
What is the common denominator of -13/200 and (-13 - -2) + (-18445)/(-2550)?
600
What is the common denominator of -3*221/(-60) + (-7)/(-28) and 61/60?
60
Let x(u) = -3*u - 56. Calculate the smallest common multiple of x(-24) and 172.
688
Let i = -5332 + 42597/8. Let x = 1591 + -9505/6. Find the common denominator of x and i.
24
Let b = -5/404 - -21447/2828. Suppose -m + 643 = 2*l + 2*m, -2*m + 1306 = 4*l. Let d = 1631/5 - l. Find the common denominator of b and d.
35
Let t = -212663/1151280 + -80/14391. Find the common denominator of 19/15 and t.
720
Let r be 33/22*(-39013)/84. Let q = r + 13/56. Let c = q - -694. Find the common denominator of -45/7 and c.
7
Let l = -31807 + 2862733/90. Calculate the common denominator of l and -109/54.
270
Suppose 5*t = -4*b + 66, -4*b - t = -72 + 14. Let i = b - 4. What is the lowest common multiple of i and (1/4)/(2/16)?
10
Let x be (1356/16)/((-3)/(-2)). Let u = x + -27. What is the common denominator of u and ((-5)/15)/(14/(-39))?
14
Let z = -209 + 242. Let a = 10 + -4. Calculate the least common multiple of a and z.
66
Let j(a) = 10*a + 1. Suppose 9 = 6*x - 3*x. Calculate the smallest common multiple of (1 - -2) + 2 + x and j(1).
88
Suppose 36*z = 27*z + 405. Calculate the lowest common multiple of z and 20.
180
Let b = 48 + -44. Calculate the common denominator of -35/8 and (-245)/(-56) + (-2)/b + 1.
8
Let z be ((-21)/14)/((-1)/6). Let g = z + 11. Let k = -30 - -50. What is the lowest common multiple of k and g?
20
Let o(q) = q**3 + 9*q**2 + 9*q + 11. Let r be o(-8). Let s be (-14 - 0)*2/(-7 + 11). Let v = r - s. Calculate the least common multiple of v and 16.
80
Suppose -2 + 1 = 5*f + 4*i, -2*f - 3*i = 6. Find the common denominator of 1346/208 - (-5 + (-378)/(-78)) and 136/(-14) - (f - 5).
56
Let l(v) = v + 10. Let k be l(-7). What is the lowest common multiple of 4 and (k - (-4 - 0)) + 1 + 2?
20
Suppose 570 = -6*s + 8*s. Suppose 0 = -5*o + 2*o + s. Find the common denominator of (o/7)/((-12)/(-14)) and -63/10.
30
Suppose -2*y + c = -24, -3*c - 16 - 8 = -2*y. Suppose -3*f = 3, 0 = -7*o + 2*o - 5*f + 185. What is the least common multiple of y and o?
228
Let w(f) = 5*f + 2. Calculate the least common multiple of (-2110)/(-70) + 1/(-7) and w(2).
60
Let p(h) = 3*h + 29. Let d be p(-10). Let z = 41 - 23. Calculate the smallest common multiple of (4 + -23)*d + 3 and z.
198
Suppose 0 = -2*t + 12*z - 10*z + 176, 0 = -2*t + z + 172. What is the least common multiple of t and 14?
84
What is the common denominator of (-79)/(-18) + 4/(-1) and (-8)/168*(-219)/2?
126
Suppose 19*d - 40 + 2 = 0. Let i(o) = 5*o**2 + 2. Suppose -s = 2*z + 6, 5*s - z - 11 = 3. What is the lowest common multiple of d and i(s)?
22
Suppose 0 = -5*c + c - 24. What is the common denominator of 73/2 and (-482)/120 + (-4)/c?
20
Let q be -26 + (-6 - -2 - -3). Let g = 39 + q. Let y(s) = s**3 - s**2 - 2. What is the smallest common multiple of y(3) and g?
48
Let q = 295728 - 56779631/192. What is the common denominator of q and -77/36?
576
Let y = -2/5523 + 156497/33138. What is the common denominator of 62/81 and y?
162
Let p = 68 - 107. What is the least common multiple of (-48)/(-12) + ((-1)/(-1) - p) and 48?
528
Let t(p) = -p + 7. Let s = 28 + -16. Let k = s - 6. What is the least common multiple of 7 and t(k)?
7
Let w = -15130797/262120 - -2309/40. Let y = 399685/157272 + w. What is the common denominator of 81/4 and y?
24
Let d = -3504 + 52579/15. What is the common denominator of -92/15 and d?
15
Let i(j) = -j**3 - 5*j**2 - 6*j + 3. Let l be i(-3). What is the common denominator of 23/11 and (570/130)/(3/2) - l?
143
Let j(n) = 13*n**2 + 5*n + 4. What is the smallest common multiple of 20*-1*(-38 - -37) and j(-1)?
60
Let z = 176 + -175. Let a = 16 - 38. Let r = a - -31. Calculate the smallest common multiple of r and z.
9
Suppose -2*c = 863321 + 152027. Let r = 5072637/10 + c. Let u = r - -1639/4. Calculate the common denominator of -95/2 and u.
20
Let w(v) = 50*v - 1. Let l be w(1). Let c = l + -19. Suppose -244*j - 8 = -246*j. What is the smallest common multiple of j and c?
60
Let b = 870 + -583. Calculate the least common multiple of b and 82.
574
Let j(z) = -489*z + 11. Let g be j(6). Let n = 40945/14 + g. Find the common denominator of 67/88 and n.
616
Let z = 1/7323 + 270934/124491. Calculate the common denominator of z and 7/11.
187
Let o = -9419/64668 + -2/317. Find the common denominator of o and -77/18.
612
Let b be 4/6996*237822/56. Let p = b - -1/2332. What is the common denominator of (-54)/(-240
|
{
"pile_set_name": "DM Mathematics"
}
|
s the v'th term of -46, -90, -134, -178, -222?
-44*v - 2
What is the l'th term of 45, 75, 105, 135, 165?
30*l + 15
What is the v'th term of 493, 494, 495, 496?
v + 492
What is the m'th term of -26, -130, -412, -962, -1870, -3226?
-15*m**3 + m**2 - 2*m - 10
What is the r'th term of -76, -192, -376, -622, -924?
r**3 - 40*r**2 - 3*r - 34
What is the h'th term of -485, -483, -481, -479, -477, -475?
2*h - 487
What is the j'th term of 5, 16, 45, 92, 157, 240, 341?
9*j**2 - 16*j + 12
What is the c'th term of -21, -34, -61, -108, -181, -286, -429?
-c**3 - c**2 - 3*c - 16
What is the j'th term of -422, -846, -1270, -1694?
-424*j + 2
What is the z'th term of -12, -19, -4, 45, 140?
2*z**3 - z**2 - 18*z + 5
What is the m'th term of -265, -294, -343, -412?
-10*m**2 + m - 256
What is the u'th term of -1374, -1372, -1370, -1368, -1366?
2*u - 1376
What is the s'th term of -159, -322, -483, -642, -799, -954?
s**2 - 166*s + 6
What is the z'th term of 6, 2, -12, -36, -70, -114?
-5*z**2 + 11*z
What is the r'th term of -3, 23, 49, 75?
26*r - 29
What is the y'th term of 1518, 1505, 1468, 1395, 1274, 1093?
-2*y**3 + y + 1519
What is the v'th term of -60, -54, -48, -42, -36?
6*v - 66
What is the k'th term of 97, 98, 99, 100, 101?
k + 96
What is the t'th term of 20, 19, 10, -7, -32, -65, -106?
-4*t**2 + 11*t + 13
What is the i'th term of 21, 56, 111, 186?
10*i**2 + 5*i + 6
What is the m'th term of 109, 219, 329, 439, 549?
110*m - 1
What is the f'th term of -50, -88, -128, -170, -214, -260, -308?
-f**2 - 35*f - 14
What is the o'th term of -575, -592, -621, -662?
-6*o**2 + o - 570
What is the p'th term of 654, 659, 660, 651, 626, 579, 504, 395?
-p**3 + 4*p**2 + 651
What is the f'th term of -297, -595, -893, -1191?
-298*f + 1
What is the m'th term of 45, 54, 63, 72?
9*m + 36
What is the l'th term of -57, -108, -157, -204, -249?
l**2 - 54*l - 4
What is the v'th term of 988, 1982, 2978, 3976?
v**2 + 991*v - 4
What is the u'th term of -559, -1101, -1643, -2185, -2727?
-542*u - 17
What is the b'th term of -47, -50, -55, -62, -71?
-b**2 - 46
What is the d'th term of 355, 710, 1065?
355*d
What is the l'th term of -16, -4, 18, 56, 116, 204, 326?
l**3 - l**2 + 8*l - 24
What is the z'th term of 77, 153, 229, 305?
76*z + 1
What is the i'th term of 443, 899, 1369, 1859, 2375, 2923, 3509?
i**3 + i**2 + 446*i - 5
What is the k'th term of 352, 1380, 3088, 5470, 8520, 12232, 16600, 21618?
-k**3 + 346*k**2 - 3*k + 10
What is the i'th term of 150, 149, 148?
-i + 151
What is the r'th term of -12, 332, 1264, 3078, 6068?
49*r**3 + r - 62
What is the n'th term of -506, -983, -1458, -1931, -2402, -2871, -3338?
n**2 - 480*n - 27
What is the b'th term of 1178, 1155, 1130, 1103?
-b**2 - 20*b + 1199
What is the o'th term of -188, -380, -582, -800, -1040, -1308, -1610, -1952?
-o**3 + o**2 - 188*o
What is the o'th term of -51, -52, -55, -60, -67?
-o**2 + 2*o - 52
What is the w'th term of 36, 88, 140, 192, 244, 296?
52*w - 16
What is the r'th term of -13, -138, -345, -634, -1005, -1458?
-41*r**2 - 2*r + 30
What is the o'th term of -108, -116, -124, -132, -140, -148?
-8*o - 100
What is the p'th term of -88, -89, -92, -97, -104, -113?
-p**2 + 2*p - 89
What is the j'th term of 123, 119, 105, 75, 23?
-j**3 + j**2 + 123
What is the k'th term of -45, -83, -121, -159, -197, -235?
-38*k - 7
What is the l'th term of -6, -14, -14, 0, 34, 94?
l**3 - 2*l**2 - 9*l + 4
What is the y'th term of -148, -239, -332, -427, -524, -623, -724?
-y**2 - 88*y - 59
What is the c'th term of -1122, -1124, -1126?
-2*c - 1120
What is the j'th term of 422, 838, 1254, 1670, 2086?
416*j + 6
What is the g'th term of 25, 41, 75, 133, 221, 345, 511, 725?
g**3 + 3*g**2 + 21
What is the q'th term of 10, 12, 24, 52, 102, 180, 292, 444?
q**3 - q**2 - 2*q + 12
What is the z'th term of -186, -330, -474, -618, -762?
-144*z - 42
What is the z'th term of 567, 565, 563, 561, 559?
-2*z + 569
What is the t'th term of 40, 54, 78, 112?
5*t**2 - t + 36
What is the p'th term of 1076, 2154, 3232?
1078*p - 2
What is the y'th term of -63, -124, -181, -234?
2*y**2 - 67*y + 2
What is the i'th term of -2018, -2016, -2014, -2012, -2010?
2*i - 2020
What is the j'th term of 195, 219, 245, 273?
j**2 + 21*j + 173
What is the x'th term of -107, -121, -143, -173, -211, -257?
-4*x**2 - 2*x - 101
|
{
"pile_set_name": "DM Mathematics"
}
|
5, to the nearest integer?
9
What is 39618 to the power of 1/10, to the nearest integer?
3
What is the square root of 4509396 to the nearest integer?
2124
What is the square root of 484164 to the nearest integer?
696
What is the cube root of 2749040 to the nearest integer?
140
What is 3360820 to the power of 1/2, to the nearest integer?
1833
What is 13938705 to the power of 1/7, to the nearest integer?
10
What is 19641500 to the power of 1/8, to the nearest integer?
8
What is the third root of 265013 to the nearest integer?
64
What is 1950738 to the power of 1/10, to the nearest integer?
4
What is the third root of 826477 to the nearest integer?
94
What is the eighth root of 19887900 to the nearest integer?
8
What is 15181456 to the power of 1/3, to the nearest integer?
248
What is 5845393 to the power of 1/9, to the nearest integer?
6
What is the sixth root of 79515 to the nearest integer?
7
What is the eighth root of 1311107 to the nearest integer?
6
What is the cube root of 237676 to the nearest integer?
62
What is 16663668 to the power of 1/3, to the nearest integer?
255
What is the square root of 34883442 to the nearest integer?
5906
What is 4025495 to the power of 1/8, to the nearest integer?
7
What is 622903 to the power of 1/2, to the nearest integer?
789
What is the cube root of 536929 to the nearest integer?
81
What is the third root of 1076135 to the nearest integer?
102
What is 3889209 to the power of 1/2, to the nearest integer?
1972
What is 5453749 to the power of 1/7, to the nearest integer?
9
What is the third root of 3406596 to the nearest integer?
150
What is the seventh root of 22416091 to the nearest integer?
11
What is 6702491 to the power of 1/2, to the nearest integer?
2589
What is 118053 to the power of 1/2, to the nearest integer?
344
What is 3562812 to the power of 1/2, to the nearest integer?
1888
What is 14074980 to the power of 1/9, to the nearest integer?
6
What is the cube root of 415658 to the nearest integer?
75
What is the square root of 3075438 to the nearest integer?
1754
What is 1249703 to the power of 1/6, to the nearest integer?
10
What is 261275 to the power of 1/10, to the nearest integer?
3
What is the cube root of 2907625 to the nearest integer?
143
What is the eighth root of 21131 to the nearest integer?
3
What is the third root of 323279 to the nearest integer?
69
What is the third root of 373514 to the nearest integer?
72
What is the third root of 2635537 to the nearest integer?
138
What is the square root of 109124 to the nearest integer?
330
What is the sixth root of 416793 to the nearest integer?
9
What is the third root of 6559766 to the nearest integer?
187
What is the square root of 1628615 to the nearest integer?
1276
What is the square root of 488679 to the nearest integer?
699
What is 12580675 to the power of 1/3, to the nearest integer?
233
What is the tenth root of 180124 to the nearest integer?
3
What is the seventh root of 112666 to the nearest integer?
5
What is the square root of 2716196 to the nearest integer?
1648
What is the square root of 3668537 to the nearest integer?
1915
What is the square root of 583627 to the nearest integer?
764
What is the eighth root of 7453199 to the nearest integer?
7
What is 4166521 to the power of 1/4, to the nearest integer?
45
What is 5267676 to the power of 1/3, to the nearest integer?
174
What is the cube root of 33443655 to the nearest integer?
322
What is 244461 to the power of 1/3, to the nearest integer?
63
What is 20072861 to the power of 1/2, to the nearest integer?
4480
What is 237578 to the power of 1/9, to the nearest integer?
4
What is the third root of 27860873 to the nearest integer?
303
What is 320605 to the power of 1/3, to the nearest integer?
68
What is the square root of 1412811 to the nearest integer?
1189
What is the square root of 127802 to the nearest integer?
357
What is the square root of 62302 to the nearest integer?
250
What is the third root of 1016378 to the nearest integer?
101
What is 2822907 to the power of 1/4, to the nearest integer?
41
What is 232878 to the power of 1/5, to the nearest integer?
12
What is the third root of 560854 to the nearest integer?
82
What is the fifth root of 1161266 to the nearest integer?
16
What is the third root of 175276 to the nearest integer?
56
What is the third root of 450461 to the nearest integer?
77
What is the fourth root of 168413 to the nearest integer?
20
What is the square root of 238918 to the nearest integer?
489
What is 107568 to the power of 1/8, to the nearest integer?
4
What is 6050160 to the power of 1/9, to the nearest integer?
6
What is the cube root of 1445115 to the nearest integer?
113
What is 280843 to the power of 1/5, to the nearest integer?
12
What is 649011 to the power of 1/2, to the nearest integer?
806
What is 699284 to the power of 1/2, to the nearest integer?
836
What is the cube root of 153089 to the nearest integer?
53
What is the fifth root of 3033672 to the nearest integer?
20
What is the square root of 241300 to the nearest integer?
491
What is the cube root of 947969 to the nearest integer?
98
What is the cube root of 2378186 to the nearest integer?
133
What is the third root of 2311415 to the nearest integer?
132
What is 293889 to the power of 1/2, to the nearest integer?
542
What is the cube root of 894485 to the nearest integer?
96
What is the square root of 237344 to the nearest integer?
487
What is the square root of 6455785 to the nearest integer?
2541
What is the third root of 14913252 to the nearest integer?
246
What is the seventh root of 165599 to the nearest integer?
6
What is the square root of 169878 to the nearest integer?
412
What is 1755799 to the power of 1/4, to the nearest integer?
36
What is 19824 to the power of 1/3, to the nearest integer?
27
What is the square root of 567844 to the nearest integer?
754
What is 735045 to the power of 1/3, to the nearest integer?
90
What is 178176 to the power of 1/7, to the nearest integer?
6
What is the cube root of 19659167 to the nearest integer?
270
What is the ninth root of 770358 to the nearest integer?
5
What is 169301 to the power of 1/3, to the nearest integer?
55
What is 820531 to the power of 1/2, to the nearest integer?
906
What is the tenth root of 1387455 to the nearest integer?
4
What is 342156 to the power of 1/7, to the nearest integer?
6
What is the square root of 2519238 to the nearest integer?
1587
What is 1355582 to the power of 1/2, to the nearest integer?
1164
What is the tenth root of 567872 to the nearest integer?
4
What is the square root of 1403563 to the nearest integer?
1185
What is the square root of 421568 to the nearest integer?
649
What is the square root of 163750 to the nearest integer?
405
What is the seventh root of 174046 to the nearest integer?
6
What is 9632127 to the power of 1/2, to the nearest integer?
3104
What is the fifth root of 3688581 to the nearest integer?
21
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 10, what is -2997 + -5?
-3002
In base 2, what is 11 + -10001?
-1110
In base 5, what is 231 - -33?
314
In base 6, what is 30 + -243?
-213
In base 4, what is -1211 - 0?
-1211
In base 7, what is -302 - -10?
-262
In base 7, what is -105 + 11?
-64
In base 7, what is -53 - -42?
-11
In base 9, what is 1587 + -4?
1583
In base 10, what is 228 + 4?
232
In base 12, what is -6 + -5b?
-65
In base 7, what is -313 + 0?
-313
In base 13, what is -2 + 258?
256
In base 12, what is 4b + 5?
54
In base 3, what is 11112 - 1?
11111
In base 5, what is -11 - 24?
-40
In base 8, what is -2 - 652?
-654
In base 9, what is 2 - -13?
15
In base 7, what is 214 - 3?
211
In base 15, what is 7 - 483?
-47b
In base 7, what is -11 - -16?
5
In base 10, what is -290 + 3?
-287
In base 3, what is -2220 - -12?
-2201
In base 7, what is 3 - 1232?
-1226
In base 14, what is 38 - 92?
-58
In base 8, what is -14 + 41?
25
In base 6, what is 35315 - 5?
35310
In base 2, what is -1 + 111010010?
111010001
In base 3, what is 22010 - 221?
21012
In base 4, what is 2 + -201?
-133
In base 16, what is 793 - -1?
794
In base 16, what is 4 + 0?
4
In base 9, what is -3 - -41?
37
In base 14, what is -69 - a6?
-131
In base 9, what is 1 - 7387?
-7386
In base 12, what is -268 + -3?
-26b
In base 10, what is -320 - 2?
-322
In base 9, what is 336 + -58?
267
In base 7, what is -3 - -430?
424
In base 4, what is -3 + -2103?
-2112
In base 16, what is -ac + 5?
-a7
In base 2, what is 10100000011 - -100?
10100000111
In base 16, what is -14e + 1?
-14d
In base 12, what is -12 + -28?
-3a
In base 11, what is 6 + 27?
32
In base 16, what is -2e9f + 1?
-2e9e
In base 12, what is 367 - 2?
365
In base 6, what is -2443 - 21?
-2504
In base 14, what is -3 - 59?
-5c
In base 9, what is -132 + -1?
-133
In base 16, what is -d + 0?
-d
In base 7, what is 0 + -226?
-226
In base 8, what is 143 - 3?
140
In base 4, what is 120 + -31?
23
In base 16, what is -5 - 509?
-50e
In base 9, what is 542 - -25?
567
In base 6, what is -23034 - -4?
-23030
In base 2, what is 11 - -10000?
10011
In base 8, what is -124 - 2?
-126
In base 9, what is -16 + 2?
-14
In base 16, what is -17 + -b?
-22
In base 7, what is -2 + -33?
-35
In base 8, what is -4 - -70?
64
In base 14, what is a0 - -29?
c9
In base 14, what is -22 - 35?
-57
In base 15, what is 1 - -36?
37
In base 7, what is -2431 + -2?
-2433
In base 12, what is 6b + -14?
57
In base 14, what is -1 - -d4?
d3
In base 11, what is 9 - -38?
46
In base 14, what is 3 + -1611?
-160c
In base 2, what is -10010100 - -10?
-10010010
In base 15, what is -c + -13?
-20
In base 16, what is 71 + 3?
74
In base 9, what is -65 + -26?
-102
In base 7, what is 366 + -204?
162
In base 9, what is 14 + -28?
-14
In base 15, what is -7c + 10?
-6c
In base 16, what is -86 + 5?
-81
In base 6, what is 25522 + -4?
25514
In base 8, what is -1 - 50?
-51
In base 12, what is -15 - -4?
-11
In base 13, what is 10 + -2?
b
In base 8, what is -1435 + 5?
-1430
In base 8, what is 3 - -1544?
1547
In base 16, what is 11 - 7?
a
In base 15, what is -7c + 1?
-7b
In base 13, what is 17 + 4?
1b
In base 3, what is -20 + -22021?
-22111
In base 8, what is 30 - 36?
-6
In base 6, what is -445541 - 5?
-445550
In base 8, what is 13 + -12?
1
In base 16, what is -3 + -a7?
-aa
In base 8, what is -1123 - -2?
-1121
In base 10, what is 4 + -25?
-21
In base 8, what is 2 + -230?
-226
In base 10, what is 3 - 168?
-165
In base 8, what is -5 + 702?
675
In base 16, what is -c + 4?
-8
In base 8, what is 27 - -63?
112
In base 3, what is -2 - -111?
102
In base 7, what is 15 - -5?
23
In base 13, what is 2c2 + 22?
314
In base 2, what is 100 - -10?
110
In base 2, what is 100010100 + 111?
100011011
In base 12, what is 6 - 276?
-270
In base 15, what is -1e - 33?
-52
In base 5, what is -103 - -12?
-41
In base 11, what is 3 - -438?
440
In base 2, what is 11 + 110000000?
110000011
In base 14, what is 5aa1 + -2?
5a9d
In base 13, what is -24 - 2?
-26
In base 8, what is -11 + 61?
50
In base 16, what is 7 + -85?
-7e
In base 10, what is -14 + 50?
36
In base 14, what is 257 + 1?
258
In base 16, what is 4 + -952?
-94e
In base 2, what is -10100000 - -100?
-10011100
In base 5, what is -240242 - 0?
-240242
In base 5, what is 13 - -11121?
11134
In base 10, what is 3 + -83?
-80
In base 13, what is 19 + -6?
13
In base 12, what is 721 + -1?
720
In base 3, what is -12 - 1220022?
-1220111
In base 14, what is -2 + -1983?
-1985
In base 11, what is 10 + 232?
242
In base 7, what is 16 - 24?
-5
In base 9, what is 25 - -12?
37
In base 3, what is -2 - 10111002?
-10111011
In base 16, what is 4 + -123?
-11f
In base 8, what is 1 + 16?
17
In base 5, what is -2 - -213?
211
In base 10
|
{
"pile_set_name": "DM Mathematics"
}
|
ce rjj.
0
Two letters picked without replacement from jviwimu. Give prob of sequence wv.
1/42
Three letters picked without replacement from yduugududuuddyuddddd. What is prob of sequence ydd?
1/38
What is prob of sequence hn when two letters picked without replacement from eeeneehhenee?
1/33
Calculate prob of sequence av when two letters picked without replacement from axqmmaqvrqqrmxr.
1/105
Three letters picked without replacement from fvvzzzzdzzef. What is prob of sequence dzv?
1/110
Calculate prob of sequence ei when two letters picked without replacement from {p: 5, l: 6, e: 1, i: 2, s: 2}.
1/120
Calculate prob of sequence ysft when four letters picked without replacement from {t: 3, s: 5, f: 3, a: 1, y: 1}.
3/1144
Two letters picked without replacement from {z: 1, y: 1, h: 1, k: 4, m: 3, j: 2}. What is prob of sequence zm?
1/44
Four letters picked without replacement from ytttytttt. What is prob of sequence ytty?
1/36
Four letters picked without replacement from {h: 4, v: 6}. Give prob of sequence vvhv.
2/21
What is prob of sequence uyvv when four letters picked without replacement from yuvyvuyuyvvuuvuu?
1/78
Four letters picked without replacement from {e: 2, w: 7, q: 2, r: 2, a: 4}. What is prob of sequence rwae?
1/510
Two letters picked without replacement from jmjfxjjcj. Give prob of sequence cx.
1/72
Calculate prob of sequence zk when two letters picked without replacement from {k: 6, q: 1, z: 10}.
15/68
Calculate prob of sequence vuv when three letters picked without replacement from {u: 7, v: 9}.
3/20
Two letters picked without replacement from eekepkeeeekkese. What is prob of sequence sk?
2/105
Two letters picked without replacement from aavvvav. What is prob of sequence aa?
1/7
What is prob of sequence pk when two letters picked without replacement from kewrp?
1/20
Two letters picked without replacement from {h: 2, g: 2, w: 3, d: 9}. What is prob of sequence gd?
3/40
What is prob of sequence wt when two letters picked without replacement from nfftwttttrwfttftw?
3/34
Two letters picked without replacement from ewmmexvxevvwxmvvee. What is prob of sequence vx?
5/102
Four letters picked without replacement from {u: 3, i: 2, q: 9, o: 3}. Give prob of sequence iuiq.
9/9520
What is prob of sequence dnfi when four letters picked without replacement from nioonofndki?
1/1320
Four letters picked without replacement from {b: 8, s: 5}. Give prob of sequence sbss.
4/143
Two letters picked without replacement from ljjljujljjuuljjjjujj. Give prob of sequence lu.
4/95
Three letters picked without replacement from jkjjjkjjkjjjjjjjjk. What is prob of sequence kkj?
7/204
Three letters picked without replacement from {a: 5, g: 2, p: 5, n: 1, t: 5, h: 2}. Give prob of sequence nah.
1/684
Two letters picked without replacement from {g: 2, p: 6}. What is prob of sequence gg?
1/28
Three letters picked without replacement from gguggggug. Give prob of sequence gug.
1/6
What is prob of sequence td when two letters picked without replacement from cktcvktctcdc?
1/44
Three letters picked without replacement from vdebede. Give prob of sequence ede.
2/35
What is prob of sequence hzzr when four letters picked without replacement from {z: 2, r: 9, h: 6}?
9/4760
Three letters picked without replacement from trnnrndnrrn. Give prob of sequence ttr.
0
Two letters picked without replacement from {a: 1, t: 11}. Give prob of sequence at.
1/12
Three letters picked without replacement from {r: 2, n: 4}. Give prob of sequence nrn.
1/5
Two letters picked without replacement from gxyxlgxxxg. Give prob of sequence lg.
1/30
Three letters picked without replacement from {w: 4, x: 6, v: 7}. What is prob of sequence wvv?
7/170
Calculate prob of sequence nfk when three letters picked without replacement from kkuunfv.
1/105
Calculate prob of sequence mqs when three letters picked without replacement from sqbbmqqsbbbsqsqsq.
1/136
Four letters picked without replacement from tttdddd. Give prob of sequence tddd.
3/35
Four letters picked without replacement from ucufuyccyxfxfxxuxcuc. Give prob of sequence fxcy.
5/3876
Two letters picked without replacement from {t: 1, s: 1, d: 6, e: 7}. Give prob of sequence td.
1/35
Three letters picked without replacement from {i: 1, m: 1, k: 4, x: 5}. What is prob of sequence xmi?
1/198
What is prob of sequence vr when two letters picked without replacement from {g: 6, r: 2, u: 1, v: 2}?
2/55
Four letters picked without replacement from ulutuuuluiclttuul. What is prob of sequence tlut?
2/595
What is prob of sequence tzjk when four letters picked without replacement from kdjjkzjjdkkjtjjk?
1/1248
Two letters picked without replacement from uunuuzouuunuuu. Give prob of sequence ou.
5/91
Two letters picked without replacement from {c: 12, e: 6}. What is prob of sequence cc?
22/51
What is prob of sequence ara when three letters picked without replacement from aaqqrrwqqwwqwcqq?
1/840
Calculate prob of sequence pu when two letters picked without replacement from uupauuuaupup.
7/44
Two letters picked without replacement from kkkskxkkktyk. Give prob of sequence ts.
1/132
Two letters picked without replacement from {s: 2, n: 1, h: 4}. What is prob of sequence hn?
2/21
Two letters picked without replacement from {v: 4, f: 10}. What is prob of sequence vv?
6/91
Three letters picked without replacement from pzpp. Give prob of sequence zpp.
1/4
Two letters picked without replacement from ccccccdcdddccccccdc. Give prob of sequence cc.
91/171
Three letters picked without replacement from {q: 1, v: 3, t: 1, o: 2}. Give prob of sequence qvo.
1/35
Calculate prob of sequence kev when three letters picked without replacement from kvkqkxxkxqvkeeqkxqtk.
7/1710
Calculate prob of sequence ap when two letters picked without replacement from acp.
1/6
What is prob of sequence acx when three letters picked without replacement from accxcacaccxcxxxxcxxa?
32/855
Three letters picked without replacement from {q: 4, c: 3, e: 7}. Give prob of sequence ceq.
1/26
Four letters picked without replacement from vskvbkkvbbkvybakvvva. Give prob of sequence kvay.
7/11628
Calculate prob of sequence uuu when three letters picked without replacement from {u: 3}.
1
Four letters picked without replacement from {t: 2, n: 17}. Give prob of sequence nttn.
1/171
Three letters picked without replacement from lfffpll. Give prob of sequence fff.
1/35
Four letters picked without replacement from {m: 2, y: 4, a: 6}. What is prob of sequence yymy?
2/495
Three letters picked without replacement from {y: 14, m: 5}. What is prob of sequence ymm?
140/2907
Two letters picked without replacement from zzhzhzhz. What is prob of sequence hh?
3/28
Calculate prob of sequence cm when two letters picked without replacement from {m: 5, c: 11}.
11/48
Four letters picked without replacement from qfaqfffi. Give prob of sequence qfff.
1/35
Three letters picked without replacement from {a: 1, t: 1, y: 1, f: 4, j: 1, o: 4}. What
|
{
"pile_set_name": "DM Mathematics"
}
|
me number?
True
Suppose -4*h = 4*h - 13240. Is h composite?
True
Is (13 - 26)/((-4)/1732) composite?
True
Suppose -753 = -5*a - 2*v + 1656, 4*a - 3*v - 1918 = 0. Is a composite?
True
Suppose -2*p - 3*j + 16553 = 0, -7*j + 16559 = 2*p - 10*j. Is p prime?
False
Suppose 0 = -8*b + 4 + 12. Is 89*(b/(-3) + 72/27) a prime number?
False
Let b(f) = 77*f - 9. Let l = -14 + 18. Is b(l) prime?
False
Let b(m) = -1191*m**3 + 2*m**2 - m - 1. Let z(y) = -3572*y**3 + 5*y**2 - 3*y - 3. Let w(o) = -8*b(o) + 3*z(o). Is w(-1) a composite number?
False
Let o = -224 - -227. Let i(h) = -60*h + 1. Let w be i(-3). Suppose -5*d = 2*p - w, 128 = 4*d - o*p - p. Is d a composite number?
True
Let v(s) = 77*s + 8. Let d be (-55)/(-10) + ((-2)/(-1))/(-4). Is v(d) a composite number?
True
Let c(v) = 41*v**2 - 25*v**2 - 21*v**3 - 18*v**2 + 4. Let w = 1 - 4. Is c(w) a prime number?
False
Let w be (-13)/(-2) + (-3)/(-6). Suppose -2*p - 5*o - w = 13, 12 = -5*p - 3*o. Suppose 3*n - 1470 - 21 = p. Is n a prime number?
False
Suppose -j + m - 553 = 0, 0*m = 3*j + 3*m + 1689. Let z = j - -895. Is z prime?
True
Let j(t) be the third derivative of 0 + 5/24*t**4 - 5/3*t**3 + 0*t + 1/30*t**5 + 4*t**2. Is j(-5) a prime number?
False
Let p(q) = 126*q - 79. Is p(8) composite?
False
Suppose 5*o + 2 - 12 = 0. Suppose 7 = o*w - 5. Is (-565)/(-15) + (-4)/w prime?
True
Let i = -671 - -704. Is i a composite number?
True
Let j(h) be the second derivative of h**4/2 - h**3/6 - 43*h**2/2 + 23*h. Is j(-14) prime?
False
Let h be 1 + -3 - (5 - 86). Suppose -m + 27 + h = 0. Let l = m + 60. Is l a prime number?
False
Let j(c) = c**3 + c + 1. Let v(z) = 6*z**3 - 3*z**2 - 10*z - 16. Let y(u) = 3*j(u) - v(u). Is y(-6) a prime number?
False
Suppose 3*d + 5*s - 79442 = 0, 4*d - 149155 + 43219 = -4*s. Is d a composite number?
False
Suppose -15 = 2*d - 7*d. Is d + -6 + (-768)/(-2) a prime number?
False
Suppose -5*b + 26 = -4*k, 4*b = 3*k + 13 + 7. Suppose 0 = i + 2*q - 137, 4*i = i + b*q + 371. Is i composite?
False
Let y(r) be the second derivative of 5*r**4/12 - r**3/6 - 11*r**2/2 + 7*r. Is y(6) composite?
False
Is (1/(-2)*1)/((-2)/254948) a prime number?
True
Let d be -3 + 0 + 0 + 3. Let g be (16 - (d - -2))/(-2). Let x(j) = -j**3 - 6*j**2 - 2*j - 8. Is x(g) a composite number?
True
Let q(i) = -2*i - 10. Let d = 9 - 16. Let z be q(d). Suppose -z*c + 7*c - 615 = 0. Is c a composite number?
True
Suppose 12 = 4*w, 8*w + 1556 = v + 3*w. Is v a composite number?
False
Suppose -20 = 14*g - 18*g. Let p(h) = -h**3 + 7*h**2 - 11*h + 7. Let w be p(g). Suppose -a - 3*z + 500 = 0, w*z = z + 5. Is a composite?
True
Let u(q) = -161*q**3 - 3*q**2 - 14*q - 31. Is u(-3) composite?
True
Let c(h) = 2*h + 5. Let u be c(-9). Let y = -16 - u. Is -3*(64/y - -2) a composite number?
True
Suppose 0 = -2*w - 5*g + 14, -2 = -2*w - g + 4. Suppose 5*d - 174 = w*d. Is d composite?
True
Let o be ((-2)/(-4))/((-1)/(-3508)). Suppose -o = 5*v - 7*v. Is v prime?
True
Suppose -4*s - 5778 = 17*z - 19*z, 5*z - 3*s = 14410. Is z a composite number?
False
Let t(a) = 6*a + 48 + 10*a + 36*a + 3*a. Is t(11) prime?
True
Suppose s = 2*x, -s - 2 = 3*x - 2*s. Is (-12)/4 + 2730 - x a prime number?
True
Let c be (1 + -4)/((-51)/136). Suppose -c*z = -5*z - 180. Suppose -2*u - 31 = -w, -36 = -3*w + 5*u + z. Is w a composite number?
False
Let m(u) = 21*u**3 - 10*u**2 - 27*u + 213. Is m(12) a prime number?
False
Suppose -3*c - 27 = -3*p, 0*c - 3*c = -4*p + 34. Suppose -p*n + 12*n - 1115 = 0. Is n prime?
True
Let r(g) be the second derivative of 17*g**4/4 - 11*g**3/6 + g**2/2 - 23*g. Is r(7) prime?
True
Let r be 17182/10 - (-7)/(-35). Suppose -4*b = -o + 497, 4*o + 4*b = r + 230. Is o composite?
True
Let n = 2849 - 1032. Is n composite?
True
Let n = 339 + -213. Suppose -2*d + 511 = i, 4*i = 4*d + 1165 + 855. Suppose -s - n = -l, 5*l - s = l + i. Is l composite?
False
Suppose 4*f = 28114 - 1422. Is f composite?
False
Let s(x) = 4*x**2 - 34*x + 279. Is s(15) a composite number?
True
Let m = -172222 + 244283. Is m composite?
True
Is (8 + -1)*1/(3/339) a prime number?
False
Suppose 5*k - 144 = 25*s - 26*s, 2*k = -4*s + 594. Is s composite?
False
Let r(f) = 3*f**3 + 10*f**2 + 11*f + 15. Let g(x) = -4*x**3 - 11*x**2 - 12*x - 16. Let v(t) = -4*g(t) - 5*r(t). Is v(11) prime?
False
Let a = 15032 - 7285. Is a a composite number?
True
Suppose -2*r - 3353 = -769. Suppose -5517 - 12 = -3*u. Let v = u + r. Is v prime?
False
Suppose -10*d - 2*d = 24. Is ((-35)/(-25) + d)*-895 prime?
|
{
"pile_set_name": "DM Mathematics"
}
|
0.2. Let h = -3 + 2.9. Which is the second smallest value? (a) h (b) i (c) j
b
Let l = 17311/181220 - 3/2132. Let g = 258/935 - l. Which is the second smallest value? (a) 2 (b) g (c) 1/12
b
Let q = 4.2 - 5.1. What is the smallest value in q, 1/6, 3?
q
Let n = -0.2 - 0.2. Suppose 7 + 53 = -4*q. Let c be 20/(-72)*6/q. What is the biggest value in -3, c, n?
c
Let z = -0.09 + -3.91. Which is the third smallest value? (a) 1/7 (b) z (c) 0.3
c
Let r = -0.147 - 0.053. Which is the second smallest value? (a) 4 (b) -1 (c) r (d) 2/21
c
Let i = 4.39 - 40.09. Let y = i - -31. Let u = 5 + y. What is the smallest value in 0, 3, u?
0
Suppose -4*d - 43 + 11 = 0. Let s = -7 - d. Which is the biggest value? (a) s (b) -0.2 (c) -2
a
Let q = -0.3 - -0.8. Let j = 36 + -34. Which is the second smallest value? (a) -4 (b) q (c) j
b
Let y = -115 + 115.5. What is the second smallest value in 44, y, 0?
y
Suppose -3 - 7 = 5*h. Let d be 1 - 1 - h/4. What is the smallest value in 0.01, d, 2?
0.01
Let t = -0.13 + -0.17. Which is the second biggest value? (a) 3/4 (b) t (c) -1.2
b
Let s = -67 - -70.1. Let c = s - 2.1. What is the second biggest value in c, -4, -0.05?
-0.05
Let i = 24.03 - 24. What is the second smallest value in i, 4, 0.3?
0.3
Let f = -0.1 + -0.1. Let h = -0.008 - 0.392. Which is the second smallest value? (a) f (b) 2 (c) h
a
Suppose 2*s = 3*s + 5. Let w be (-81)/(-15) - (-2)/s. Which is the third biggest value? (a) -5 (b) -1 (c) w
a
Let o = 1.2 + -1.2. Let y = -639/7 + 91. Let p = 439/30 - 29/2. Which is the third smallest value? (a) y (b) p (c) o
b
Suppose -3 + 18 = -5*z. Let k(l) = -l + 8. Let t be k(5). Which is the third smallest value? (a) t (b) -0.2 (c) z
a
Let v(x) = -4*x - 3. Let g be v(-4). Suppose 0 = -3*y - 1 + g. Suppose 0 = 8*s - 4*s - y. What is the second biggest value in 0.3, 2, s?
s
Let z(o) = o**3 - 9*o**2 + 8*o + 1. Let s be z(8). Let c = 0.2 - 0.2. What is the smallest value in c, -2/5, s?
-2/5
Let o = 4 - 10. Which is the smallest value? (a) 1 (b) o (c) 2
b
Let v = 1 - 0.9. Let i = v + -0.3. Let n = 69 - 275/4. What is the second smallest value in n, i, -0.5?
i
Let n = -0.1 - 0.1. Let p = -34/3 - -11. Suppose 2*d + 6 = -5*s + 31, 0 = -5*s + 3*d. Which is the third biggest value? (a) p (b) s (c) n
a
Suppose -5*b + 50 = -40. Let r be b/(-24) - 46/(-8). What is the third biggest value in 0, r, 1?
0
Let z(v) = 0*v**2 - 3*v + 5*v - 5*v**2. Let m be z(-2). Let k be (-57)/m + -3 + 1. Which is the third biggest value? (a) -3 (b) 2/3 (c) k
a
Let r = 543/2 - 269. Let j(t) = 3*t - 2. Let d be j(2). Which is the second biggest value? (a) r (b) d (c) 5
b
Let f = -1 + 6. What is the biggest value in 1, f, -2?
f
Let x = -0.37 + -0.03. Let y = -81/28 - -22/7. Let b = 5.01 + -0.01. What is the third biggest value in y, b, x?
x
Let l = -118 + 118. Which is the third smallest value? (a) -4 (b) 2/5 (c) l
b
Let q = 38 - 20. Let n be ((-1)/q)/((-5)/10). Let y(g) = g**2 + 5*g - 3. Let u be y(-6). Which is the second smallest value? (a) -0.1 (b) u (c) n
c
Suppose -p + 4*r + 24 = 0, 3*p - 5*r - 26 = 11. Let n = -37 + 22. Which is the third biggest value? (a) -1/2 (b) p (c) n
c
Let b = -21 - -25. What is the biggest value in b, -1/6, 0.3?
b
Let s be 27/(-12)*(-8)/(-3). Let w = -6 - s. What is the third biggest value in -2/9, w, -0.5?
-0.5
Let t = -6.4 - 0.5. Let y = -3 - t. Let o = 4 - y. What is the smallest value in -2/11, o, 3?
-2/11
Let n be (-13744)/(-12)*6/52. Let k = -132 + n. Which is the biggest value? (a) k (b) 1 (c) 3
c
Let m = 4 - 0. What is the biggest value in -4, m, -0.3?
m
Let i = 0 + 4. Suppose -o + i*o = 3. What is the biggest value in 0.1, 0.4, o?
o
Let x = 5.6 - 0.6. Let o = x - 0. Let m = 0.8 + -0.3. What is the third biggest value in m, o, -1?
-1
Let p = -11 - -15. Let j be (-45)/(-36)*p/(-10). Let m = 0.4 + -0.3. Which is the smallest value? (a) j (b) m (c) 2
a
Suppose 4*g + 2*f = 12, -3*g + 19 = 4*f - 5*f. What is the second biggest value in 0.5, g, -2/11?
0.5
Let l be 4 - ((-230)/(-68) + (-1)/(-2)). Which is the second biggest value? (a) 2 (b) -5 (c) l (d) -1/3
c
Let x = 42 - 41.8. Let l = 113/549 + 1/61. What is the third smallest value in -1/6, l, x?
l
Let p = -1 - 1. Which is the second biggest value? (a) 3 (b) -1/2 (c) p
b
Let d = 10 - 8. Let j = d + -2.05. What is the smallest value in -0.2, 5, j?
-0.2
Let k = 127/2 - 65. Let s be (-2)/(-12)*4 - (-16)/(-6). Which is the biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
en 492 is divided by v?
11
Suppose 42*k + 4*b - 11215 = 39*k, -3*k + 11263 = -2*b. Calculate the remainder when k is divided by 31.
29
Let k = 239 - 235. Suppose 0 = -k*t + 12, 0*c + c + 2*t - 80 = 0. Calculate the remainder when c is divided by 20.
14
Suppose -6*g - 120 = -2*x, -87*x - 3*g - 180 = -90*x. Suppose 0*y + 895 = 5*y. What is the remainder when y is divided by x?
59
Suppose -2*j + 2*o + 746 = 0, -1857 = -5*j - o - 2*o. Let c = 394 - j. What is the remainder when 350 is divided by c?
20
Let h be 11/((-66)/(-48)) - 2. What is the remainder when ((-135)/(-10) + 3)*116/h is divided by 23?
20
Suppose 26*j = -190*j + 25*j + 24448. Calculate the remainder when j is divided by 23.
13
Let q be (-2 - (-2)/2)*-13. Let r = 721 + -671. Calculate the remainder when r is divided by 2 + -1*(2 - q).
11
What is the remainder when ((-8)/(-44) - (-1722)/(-154)) + 401 is divided by 97?
2
Let j = 17278 - 16951. Calculate the remainder when 879 is divided by j.
225
Suppose 3*s + 84 = 2*n, 4*s = -4*n + 62 + 146. Let y(g) = 15*g - 95. What is the remainder when n is divided by y(7)?
8
Let z(o) = -4*o + 14. Let j be z(-6). Let a = -48 + j. Calculate the remainder when 4 is divided by (1 + a/(-5))/1.
1
Suppose -259 = 6*p - 667. Let h(v) = -5*v - 14. Let a be h(-3). Calculate the remainder when p is divided by a + 16 - (-6 - -5).
14
Let f(t) = -35*t - 34. Let x(y) = 30*y - 6. Let p be x(-2). Let a = 62 + p. What is the remainder when f(a) is divided by 27?
25
Suppose -2*m - 12 = 2*m, 0 = -t - 5*m + 228. Suppose -667 = -5*h + t. Calculate the remainder when h is divided by 47.
41
Suppose 47630 = -16*q + 43*q + 28*q. What is the remainder when q is divided by 5?
1
Let w be ((-130)/13)/(2/(117 + 1)). Let u = -585 - w. What is the remainder when 7 is divided by u?
2
Let m(p) = -2*p**3 - 6*p**2 - 5. Let c = 439115 - 439106. What is the remainder when m(-5) is divided by c?
5
Suppose -h + 0*h + 54 = 0. Suppose 5*a - 63 = w - 3*w, 0 = -w + 2*a + h. Let u(p) = -p**2 + 719*p - 10537. Calculate the remainder when w is divided by u(15).
21
Let s(i) = -2*i**2 - 54*i + 315. Calculate the remainder when 425 is divided by s(-31).
23
Suppose 3*r - 6 = 9*r. Suppose -d + f = 0, -8 = 3*d - 2*f - 3*f. Calculate the remainder when (-9 + r)*(-2 - (-16)/10) is divided by d.
0
Suppose 0 = -3*w - 5*o + 1675, 0*w + 5*w - 2817 = -2*o. Let n(v) = 4*v**2 + 49*v + 153. What is the remainder when w is divided by n(-10)?
61
Suppose -5*h - c + 5*c + 910 = 0, 0 = -4*h - 5*c + 769. What is the remainder when h is divided by 46?
2
Let c = -35 + 51. Suppose -5*u + 0*s + 175 = 4*s, 4*u - 166 = 2*s. Suppose 5*v - 22 = -4*h + 7, 3*h + u = 3*v. Calculate the remainder when c is divided by v.
7
Let s = 26171 - 25974. Calculate the remainder when 3146 is divided by s.
191
Suppose 2968 + 3482 = 25*m. Calculate the remainder when m is divided by 124.
10
Suppose 7*s = 1946 - 1617. What is the remainder when 1211 is divided by s?
36
Suppose 0 = -5*b + 8*b - 132. Suppose 65*m - 38118 = -15368. Calculate the remainder when m is divided by b.
42
Calculate the remainder when 464 is divided by 3 + ((-252)/60)/((-3)/65).
88
Suppose 22*d - 8088 = -144 + 1120. What is the remainder when d is divided by 99?
16
Suppose 42 = -0*n + n. Suppose 825 = 5*b - 20*a + 19*a, -2*b = -2*a - 330. Calculate the remainder when b is divided by n.
39
Suppose 4*t - 5*c - 181 - 30 = 0, t = c + 53. Suppose t + 234 = -6*w. Let m = w - -60. What is the remainder when 33 is divided by m?
9
Let u = 290 + 388. Let s = u + -501. What is the remainder when s is divided by 62?
53
Suppose b = -5*b + 2880. Suppose -14*u + b = u. What is the remainder when -2*(-1996)/u + 1/4 is divided by 18?
17
Let x(n) = 78*n**2 - n. Suppose 77*k = 72*k + 80. What is the remainder when x(1) is divided by k?
13
Suppose -5*y - 57 = -4*x, -2*x + 0 + 28 = -2*y. Suppose 174 = 4*v - 10*b, 2*v - 96 = 67*b - 71*b. Calculate the remainder when v is divided by x.
7
Let m(p) = -7*p - 10. Let z be m(-12). Suppose 4*h - 34 = -z. Calculate the remainder when 24 is divided by ((-7)/5)/(2/h).
3
Let m = -79 + 108. Let k be (-4)/(-10) + 1252/20. Let g = m + k. What is the remainder when g is divided by 24?
20
Suppose 4*j = 3*p - 27, 3*p - 4 = 5*j + 26. Suppose -3*r - 42 = -x, -2*r = r - p*x + 30. Let w = -7 - r. What is the remainder when w is divided by 3?
2
Suppose 29*o + 23980 = 1969. Let z = o - -769. What is the remainder when 178 is divided by z?
8
Let s be (6/1 - 3)*80/(-24). Calculate the remainder when ((-14988)/s)/3 + 18/45 is divided by 63.
59
What is the remainder when (-160)/(-40) + (106 - 1)/1 is divided by 101?
8
Let g = -353 - -363. Suppose -3*r + 113 = 3*o - 2*r, 4*o = -3*r + 149. What is the remainder when o is divided by g?
8
Calculate the remainder when (2 + 0)/((-12)/(-906)) is divided by (-34)/(-17) - 180/(-9).
19
Let y(l) = l**2 + 40*l + 132. Calculate the remainder when -1 + (-204)/(-4) - -1 is divided by y(-37).
9
Suppose -t = 103*t - 15912. What is the remainder when t is divided by 144?
9
Let m = -106 + 175. What is the remainder when 23 + -9 + -2 - -261 is divided by m?
66
Let w(h) = -h**3 - 4*h**2 - 5*h - 5. Let c be 1/(-1)*(-50)/(-2 + 12). Suppose -4*m + 6*j + 35 = j, 5*j = c. What is the remainder when w(-4) is divided by m?
5
Let z = -23283 - -24539. What is the remainder when z is divided by 82?
26
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
e in 0, 1/2, 4/3, a?
4/3
Let u be (6/(-10))/(-2 + 3). Suppose 0 = -l - 5 + 1. Which is the second smallest value? (a) 0 (b) l (c) u
c
Suppose -2*o = 1 - 3. Let d(v) = -v**3 - v**2 + v. Let r be d(o). Let f be 6/8*(-20)/(-18). Which is the biggest value? (a) f (b) -1/5 (c) r
a
Let g = 33 + -233/7. Let p = -18.79 - 0.21. Let h = 15 + p. What is the smallest value in -1/5, h, g?
h
Suppose 5*i - 4*h + 5 = -0*h, 2*i = -5*h - 35. Let f be 1108/(-2190) - 1/(-3). Let z = f + -2/73. What is the second biggest value in z, i, -1?
-1
Let j = -4.037 + -0.003. Let c = 0.04 + j. Let p = 0.6 - 1. What is the second biggest value in c, p, -1?
-1
Let x be 4/35*2*15/(-12). Let v(h) = -h**3 - 3*h**2 - h. Let y be v(-2). Which is the smallest value? (a) x (b) y (c) -1
b
Let o = -2 + 4. Let v(w) = -10*w. Let r be v(1). Let j be r/24 + (-6)/(-9). Which is the third smallest value? (a) j (b) 0.4 (c) o
c
Let x = 4 - 3.6. Suppose 7*r - 18*r = 11. Which is the third biggest value? (a) 3/7 (b) r (c) x
b
Let r be (-5)/(5/2) - -1. Let f be r + -3 + 5 - 1. What is the second smallest value in 3, 4/7, f?
4/7
Let t be (-7)/(-5) - (-2)/(-5). Let x = -26 - -25.89. Let i = x - 1.89. Which is the third biggest value? (a) t (b) -0.5 (c) i
c
Let p = 110 + -109.6. Which is the third biggest value? (a) 8 (b) 2 (c) 3 (d) p
b
Let m = 0.8 - 5.8. What is the third biggest value in -4, 0.4, m?
m
Suppose -4*z + 41 - 49 = 0. What is the biggest value in 14, z, -3, 0?
14
Suppose 23*x - 27*x + 20 = 0. Which is the third biggest value? (a) x (b) -2 (c) -0.29
b
Let x be (-24)/28*1/(-3). Suppose 2*m + v = 0, 5*m = m - v + 4. Which is the third biggest value? (a) x (b) m (c) -5
c
Suppose -5*q + 3*q - 8 = 0. Which is the second biggest value? (a) 0.5 (b) -0.1 (c) q
b
Let z = 0.79 + -0.29. Which is the biggest value? (a) -12/11 (b) -2 (c) z
c
Let p be 2/6*(0 + 0). Which is the second biggest value? (a) 11/2 (b) p (c) 4
c
Let y = 0.82 - 0.8. Let j = 0.191 - -1.829. Let s = y - j. Which is the third smallest value? (a) 5 (b) s (c) 3
a
Let u = -19.8 + 19. Let q = 0.4 + u. What is the third smallest value in -5, -4, q?
q
Let g be 2 + 15/(-9) - 22/60. Which is the biggest value? (a) g (b) -1/3 (c) 0
c
Let v = 149 - 148.9. Which is the fourth biggest value? (a) v (b) 2/5 (c) -3/8 (d) 3/14
c
Let t = -13 + 6. Let k = -11 - t. Let d = 4 + -2. Which is the third biggest value? (a) k (b) -4/7 (c) d
a
Let p(y) be the third derivative of y**4/8 - y**3/6 + 2*y**2. Let s be p(2). Which is the biggest value? (a) 1 (b) -0.5 (c) s
c
Let i = -2.95 + -0.05. Let q = -12.2 + 25.5. Let h = q + -13. What is the biggest value in h, i, 0.2?
h
Let q = 3.032 + -0.032. Let b be 18/(-34)*2/12. Let i = 101/374 + b. What is the second biggest value in q, i, 3/2?
3/2
Let a = -0.33 + -3.67. What is the smallest value in 4, -2/3, a?
a
Let w = -0.01 + 0.06. Let t = w + 2.95. What is the second biggest value in 3/5, t, 2?
2
Let l be (-1)/(-4) + 81/(-4). Let p be (3/14)/((-15)/l). Let y = 0 - 2. Which is the second biggest value? (a) 3/4 (b) p (c) y
b
Let i(h) = h**2 + h + 5. Let z be i(-5). Suppose 2*t - 7 = -t + 2*k, -5*t - 4*k - z = 0. Let d = 0.2 - 0.1. What is the biggest value in t, 0.3, d?
0.3
Let j = -3.14 - -0.14. Let o be 6/9 + 8/6. Which is the second smallest value? (a) j (b) o (c) 4
b
Suppose 2*w = 3*w - 4. Let n be -1 - -3 - (-20)/(-6). Which is the biggest value? (a) n (b) 1 (c) w
c
Let j be -8 - -6 - (-39)/21. Let w = -0.2 + -0.2. Which is the biggest value? (a) j (b) w (c) 0.1
c
Let k = 7 - 8. Let t = 320/7 - 46. Which is the third smallest value? (a) 0.2 (b) t (c) k
a
Let r = -0.15 - -0.16. Which is the biggest value? (a) r (b) -2 (c) 3
c
Let u = -3 + 2.88. Let l = -0.62 - u. Which is the second biggest value? (a) 0 (b) l (c) -6
b
Let s = 15 - 10. Let h = -4261 + 16641/4. Let v = 100 + h. What is the third smallest value in v, 3, s?
s
Suppose -g + 6 = -4*g. Let n be 105 + (-1 - -2) + g. Let w = n + -518/5. Which is the second biggest value? (a) w (b) -0.4 (c) 5
a
Let w = 397/70 - 51/10. Suppose -4*m + 29 - 9 = 0. Let f(x) = x**2 - 5*x - 3. Let k be f(m). Which is the second biggest value? (a) -1 (b) w (c) k
a
Let r(f) = f**2 + 2*f. Let l be r(0). Let s(v) = -v**3 - v - 5. Let t be s(0). What is the second biggest value in t, l, 1?
l
Let q = -0.2 + 2.2. What is the second smallest value in -4, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
c - 2. Let l be (0 + 2 - -1)*5/(-75). Put -0.1, l, b in descending order.
b, -0.1, l
Let q be (-3 + 6 - -41) + -3. Suppose 4*a - q + 17 = 0. Let y be 2/((-3)/a - 0). Sort y, 3, -5 in descending order.
3, y, -5
Let n(a) = -a**2 - 4*a + 2. Let f be n(-5). Suppose 0 = -3*b + 46 - 25. Suppose r = b*r + 12. Sort f, r, 0 in decreasing order.
0, r, f
Let a = -197 - -197.6. Put a, 0.1, 5 in descending order.
5, a, 0.1
Let g = -4 - -6. Suppose -m = -m + g*m. Put -11, m, -3 in increasing order.
-11, -3, m
Let t be 6 - (-3 - -5) - -1. Suppose -4*v = -7 - t. Suppose 5*s + r = 25, 2*s + 3*r = 2*r + 13. Sort 5, v, s in decreasing order.
5, s, v
Suppose 187 - 175 = 6*g. Sort 0, g, 15 in decreasing order.
15, g, 0
Let t be 8/4*(2/(-1))/4. Let k = -1 - t. Put -2, 8, k in decreasing order.
8, k, -2
Let z(o) = -54*o + 5*o**2 + 9 + 0*o**2 + 47*o - 4*o**2. Suppose -5*n + 3 + 17 = 0. Let k be z(n). Put 4/9, k, 4 in descending order.
4, 4/9, k
Let t = 807 + -806.9. Sort t, 0, -18, 2/19 in decreasing order.
2/19, t, 0, -18
Let j be (-9)/2 + (-1)/(-2). Let r = 23 - 15. Suppose r*x + 16 + 0 = 0. Put x, 3, j in descending order.
3, x, j
Let o(v) = -v**2 + 3*v + 3. Let y be o(0). Let b be (-8)/(-6)*(-6)/(-4). Suppose -b*x = w + 1, 0 = -5*w - x + 34 - 12. Sort w, -1, y in increasing order.
-1, y, w
Let f = -15454/7 - -2207. Sort f, -7, 4/3, 2 in ascending order.
-7, f, 4/3, 2
Let x(p) = p**2 + p - 2. Let g be x(2). Let c = -3 - 0. Let z be (0/((-3)/c))/3. Sort g, z, 3 in ascending order.
z, 3, g
Let i = -48.21 + 48. Let b = -2.21 - i. Sort -3, b, -1.
-3, b, -1
Let q = 0 - 0. Let m be (64/40)/((-4)/(-10)). Suppose 0 = -5*x - 2*x + 35. Put q, x, m in descending order.
x, m, q
Suppose 15*c = 22*c + 28. Put 80, c, 3, -1 in increasing order.
c, -1, 3, 80
Let n = -304 - -457. Sort 0, 2, n.
0, 2, n
Suppose 6 = 2*w, 2*w + 66 = 3*f - 0*w. Put f, -4, 1 in descending order.
f, 1, -4
Suppose -j + 293 + 34 = -a, 2*j + 2*a = 666. Put j, -1, 4 in ascending order.
-1, 4, j
Suppose 4*o - 35 = 3*g, -4*g = 5*o - o. Suppose -o*t = 5 - 10. Put t, -2, 5, -1 in ascending order.
-2, -1, t, 5
Let d = -157 - -156.97. Sort 2, -0.2, 0.5, d in descending order.
2, 0.5, d, -0.2
Let i(p) = -7 + 0*p + 2*p + p + 0. Let w be i(4). Suppose w*t - 25 = b, 7*t - 15 = -4*b + 4*t. Sort b, 4, 3 in increasing order.
b, 3, 4
Let v(g) = g**2 - 2*g - 7. Let p be v(-5). Suppose 0*k - p = -k. Let r = k + -23. Sort r, -3, 0 in descending order.
r, 0, -3
Suppose 5*u = 3*u + 34. Let v = u + -15. Sort -1, -2, 4, v.
-2, -1, v, 4
Suppose 15*i = 17*i - a - 3, 0 = -3*i - 5*a + 24. Sort 8, -5, i, 7 in descending order.
8, 7, i, -5
Let z = 35 + -21. Let c be (48/28)/(4/z). Let u = -41/21 + 16/7. Sort c, u, 4 in ascending order.
u, 4, c
Let g = 43/18 - 5/2. Let q = 2.53 - 0.53. Put g, q, 3 in descending order.
3, q, g
Let j = 61 + -59.4. Let f = j - 5.6. Sort -1/20, f, 3 in descending order.
3, -1/20, f
Suppose -9*i + 10*i = -4. Put -1, -6, i, 0 in descending order.
0, -1, i, -6
Let w(q) = q**2 + 7*q + 2. Let t be w(-6). Let h be (t/6)/(24/36). Sort h, 4, -5 in decreasing order.
4, h, -5
Let s(d) = d. Let k be s(-1). Suppose 0 = 7*q + 2*q - 27. Put -3, q, k in decreasing order.
q, k, -3
Suppose -2*q + 3*d = 6, 2*d - 8 = -2*d. Sort 4, 20, q in decreasing order.
20, 4, q
Let r = 9.05 - 0.05. Let o = r - 10.5. Let q = -0.5 + o. Sort q, -0.1, -5.
-5, q, -0.1
Suppose -3 = -3*s + 9. Sort 2, -40, s, -5 in descending order.
s, 2, -5, -40
Let j(d) = -d**3 - 10*d**2 + 7. Let a be j(-8). Let h = 116 + a. Sort 2, 4, h in descending order.
4, 2, h
Suppose -111 = 7*x + 1436. Sort -2, -5, x in descending order.
-2, -5, x
Let y = 0.2 - -0.4. Let r = y - 2.6. Sort r, -4, -8 in ascending order.
-8, -4, r
Let q be (5*(-5)/(-50))/((-4)/(-48)). Sort -1, 3, -4, q.
-4, -1, 3, q
Let a be 1/(-1)*(-8 - -7). Let i be (32/(-12))/(-4)*3. Sort a, i, 0 in ascending order.
0, a, i
Let o = 31 - 13. Let w = o - 13. Let q be (60/(-9) - -8) + -1. Sort -4, w, q in decreasing order.
w, q, -4
Let l = 9.8 - 8.8. Let c = -10 - -10.2. Sort l, 0.3, 2, c in descending order.
2, l, 0.3, c
Let t = 6 + -11. Suppose -6*a + 6 = -9*a. Put t, a, 5 in decreasing order.
5, a, t
Let q be (-10 + 14 - (-2 + 12)) + 11. Let y = 0.2 - 0.2. Sort q, y, 0.1.
y, 0.1, q
Let w(x) = -9*x - 211. Let a be w(-23). Put -12, a,
|
{
"pile_set_name": "DM Mathematics"
}
|
020*f - 3057*f for f.
-15
Solve 7*l - 203 + 168 = 0 for l.
5
Solve -60*n - 78 = 282 for n.
-6
Solve 85*d - 1308 = 28*d + 288 for d.
28
Solve 51*r - 18 + 438 = 23*r for r.
-15
Solve 165 + 0 + 427 = 74*k for k.
8
Solve -278*w - 2711 = -48*w + 969 for w.
-16
Solve -52*c + 38 - 56 = 138 for c.
-3
Solve 17*a = 3025 - 2821 for a.
12
Solve 10*o - 176859 + 176769 = 0 for o.
9
Solve -52*f + 311 + 569 = -108 for f.
19
Solve -6*z + 214*z = -2496 for z.
-12
Solve -517*r + 413*r - 1352 = 0 for r.
-13
Solve -137*k = -88*k + 55*k - 2704 for k.
26
Solve 116*t = 1995 + 673 for t.
23
Solve 318*c + 61 + 148 = 299*c for c.
-11
Solve -157*a + 23*a + 246 + 1094 = 0 for a.
10
Solve 16 = 29*y - 13 for y.
1
Solve 264*p + 2261 - 4638 = 3959 for p.
24
Solve 88*s + 127*s + 1001 = 292*s for s.
13
Solve 47*v - 6*v = 34*v + 49 for v.
7
Solve 0 = 183*n + 49689 - 49140 for n.
-3
Solve -160*c - 203 = 757 for c.
-6
Solve 28*k = -160 - 288 for k.
-16
Solve 525*q = -267*q - 5872 + 28048 for q.
28
Solve -48*j - 402 + 315 - 729 = 0 for j.
-17
Solve -7*x + 1577 = 1563 for x.
2
Solve 0 = 174*j - 216*j + 42 for j.
1
Solve 17*g - 245 = 149*g - 1037 for g.
6
Solve -32803*m = -32783*m - 460 for m.
23
Solve 56*v - 3 = -3 for v.
0
Solve -27*y + 1106*y - 37765 = 0 for y.
35
Solve 709 + 286 = -199*s for s.
-5
Solve 12*z = -12*z - 13*z + 370 for z.
10
Solve 0 = -127*a - 4657 + 5927 for a.
10
Solve -10*o - 5*o - 490 = 20*o for o.
-14
Solve -15*k - 35 - 41 = -46 for k.
-2
Solve -15*o + 188 = -0*o - 52 for o.
16
Solve -840*z = -872*z + 384 for z.
12
Solve -60*u - 129 = -729 for u.
10
Solve 1120*y = -2057 + 1971 + 10166 for y.
9
Solve -20*q = 79 - 19 for q.
-3
Solve -423*k + 568*k - 4060 = 0 for k.
28
Solve 30*k = -11847 + 11877 for k.
1
Solve -11*a - 49*a + 143 = -37 for a.
3
Solve 470*o = 216*o + 1270 for o.
5
Solve -63*n = 183 - 624 - 378 for n.
13
Solve 3707 + 210 + 754 = -173*m for m.
-27
Solve 9*n + 49*n = -84*n + 27*n for n.
0
Solve -89*t - 2 = -90*t for t.
2
Solve 22*c + 24*c - 1013 + 277 = 0 for c.
16
Solve 447 = -9*b - 5*b + 237 for b.
-15
Solve -148*c - 1850 - 487 = -25*c for c.
-19
Solve 568 = -16*i + 712 for i.
9
Solve -367*b = -20*b - 1852 - 3700 for b.
16
Solve -701 = -70*s + 1029 - 330 for s.
20
Solve -41*v + 462 = 52 for v.
10
Solve -9*f = 5*f + 114 + 40 for f.
-11
Solve -86*h = -99 + 671 + 374 for h.
-11
Solve -39 = 89*k + 36 + 192 for k.
-3
Solve 27*w = -6*w + 32*w - 16 for w.
-16
Solve 12*b = -43*b - 12*b for b.
0
Solve -6339 = -23*d - 6155 for d.
8
Solve -57*d - 667 - 401 = 121*d for d.
-6
Solve 290*a = 2903 + 1157 for a.
14
Solve 4 - 15 = -3*v + 43 for v.
18
Solve 25*c - 49*c + 73 = -191 for c.
11
Solve 186 = -1618*b + 8276 for b.
5
Solve 0 = 46*w + 64 - 156 for w.
2
Solve 1808*j = 640*j + 33872 for j.
29
Solve 57*h - 944 = 21*h - 82*h for h.
8
Solve 12*d + 1167 - 1507 = -22*d for d.
10
Solve 166*d - 642 = 1948 + 1394 for d.
24
Solve 54*i - 2593 = -973 for i.
30
Solve -588 = -119*b + 364 for b.
8
Solve 51*a = 8*a + 43 for a.
1
Solve 190281*z - 190270*z = -363 for z.
-33
Solve q + 14*q = -33*q + 384 for q.
8
Solve 8*m + 240 = -12*m for m.
-12
Solve -27*u = -22*u - 30 for u.
6
Solve -53*s + 223 - 64 = 0 for s.
3
Solve 271 = -31*c + 178 for c.
-3
Solve 83*t + 411 = -26*t - 897 for t.
-12
Solve 100*n - 916 = -225 + 1409 for n.
21
Solve 3*n + 8 = -7*n + 108 for n.
10
Solve 472*q = -228*q + 73*q + 3135 for q.
5
Solve -60*f - 70*f = -127*f - 54 for f.
18
Solve -763*g + 16974 = -1501*g for g.
-23
Solve 0 = 410*s - 4897 - 3713 for s.
21
Solve 2*s + 26 - 4 = 0 for s.
-11
Solve -92*v + 133 = -603 for v.
8
Solve 40 = 2201*t - 2193*t for t.
5
Solve 218 = 45*v - 399 - 58 for v.
15
Solve -15*q - 130 = -28*q for q.
10
Solve -85*a - 94*a = -167*a - 120 for a.
10
Solve -9*a + 3946 - 3820 = 0 for a.
14
Solve 1150 = 211*x - 44*x - 2190 for x.
20
Solve -104*z + 55 = -125 - 236 for z.
4
Solve -324*g - 320*g - 24 = -638*g for g.
-4
Solve 63 + 7 = -12*c - 74 for c.
-12
Solve 0 = 167*u - 149*u + 154 + 26 for u.
-10
Solve 7*h + 4 - 2 = -26 for h.
-4
Solve -1517*x + 2 = -1476*x + 43 for x.
-1
Solve 19600*s + 32 = 19598*s for s.
-16
Solve -685*z - 4973 - 16262 = 0 for z.
-31
Solve 99*k + 10*k - 1308 = 0 for k.
12
Solve -14332*l + 208 = -14319*l for l.
16
Solve -90*o - 2184 = -114 for o.
-23
Solve -50 = 16*i - 25 + 119 for i.
-9
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -n - 27. Give j(14).
-41
Let u(k) = -k**3 + 5*k**2 - 3*k - 3. Calculate u(5).
-18
Let k(a) = -6*a**2 - 1. Calculate k(1).
-7
Let w(y) = -y**3 - y - 10. Determine w(0).
-10
Let c(t) = 3*t + 4. What is c(-5)?
-11
Let d(f) = -f**3 + 10*f**2 - 10*f - 17. Calculate d(8).
31
Let x(y) = -y**3 - 12*y**2 + 13*y. What is x(-13)?
0
Let w(o) = -o**2 - 8*o + 10. Give w(-8).
10
Let u(b) = b**3 - 5*b**2 + 4*b - 19. Give u(5).
1
Let j(x) = -x**3 + 27*x**2 - 29*x + 6. What is j(26)?
-72
Let d(r) = r**2 - 13*r + 35. Calculate d(12).
23
Let b(i) = -11*i + 1. Determine b(3).
-32
Let b(v) = -3*v**3 - v**2 + 1. Calculate b(-2).
21
Let i(p) = 2*p - 15. Give i(12).
9
Let f(i) = 6*i**2 + 7*i + 9. Calculate f(-4).
77
Let a(o) = 2*o**3 + 6*o**2 + 5*o + 6. Give a(-4).
-46
Let p(d) = -2*d**2 - d + 1. What is p(2)?
-9
Let a(v) = -v**3 - 4*v**2 - 3*v - 4. Calculate a(-4).
8
Let i(v) = -3*v + 9. Calculate i(4).
-3
Let a(d) = 10*d**2 - d + 18. Calculate a(0).
18
Let k(i) = -i**2 - 2*i + 3. Give k(-2).
3
Let r(q) = -q - 9. Give r(-7).
-2
Let r(n) = 3*n**2 + 3*n + 6. Determine r(-3).
24
Let g(h) = 13*h - 5. Calculate g(4).
47
Let i(k) = 2*k**2 + k - 1. Determine i(1).
2
Let a(b) = -b**3 + 36*b - 60. Determine a(5).
-5
Let f(r) = r**3 - 6*r**2 - 39*r + 4. Give f(10).
14
Let t(i) = -i - 15. Calculate t(-16).
1
Let k(y) = -8*y**3 + 2. What is k(2)?
-62
Let u(w) = w + 26. Calculate u(-18).
8
Let z(w) = w**2 - 11*w - 2. Calculate z(12).
10
Let j(x) = 4*x - 31. Calculate j(11).
13
Let n(r) = r**2 + 49*r - 385. Give n(7).
7
Let v(h) = h**3 - 5*h**2 - 8*h + 13. Determine v(6).
1
Let r(j) = 15*j - 131. Give r(8).
-11
Let h(u) = 49*u + 202. Give h(-4).
6
Let h(l) = l**2 + 8*l - 25. Determine h(-11).
8
Let y(p) = -p + 13. Determine y(4).
9
Let g(x) = x**3 + 16*x**2 + 7*x + 36. What is g(-16)?
-76
Let y(j) = -12*j + 2. Determine y(1).
-10
Let j(r) = -r**3 - 26*r**2 - 50*r - 45. Give j(-24).
3
Let t(j) = 8*j**2. What is t(-1)?
8
Let u(l) = -l**2 + 8*l - 6. Give u(9).
-15
Let n(c) = -20*c + 440. Determine n(22).
0
Let u(w) = w**3 - 22*w**2 - 23*w - 14. What is u(23)?
-14
Let y(r) = -2*r**3 - 4*r**2 - r. What is y(-3)?
21
Let d(r) = r**2 + 15*r - 36. Calculate d(-17).
-2
Let n(x) = x**3 - 8*x**2 - x + 7. Calculate n(8).
-1
Let m(x) = 48*x - 2. Give m(1).
46
Let j(w) = -58*w. Give j(1).
-58
Let h(y) = 2*y**3 + 4*y**2 + 4*y + 3. What is h(-3)?
-27
Let j(o) = -40*o + 289. Calculate j(7).
9
Let r(d) = -3*d + 17. What is r(10)?
-13
Let m(n) = -n - 3. What is m(5)?
-8
Let c(v) = 2*v**2 + 22*v + 51. Calculate c(-7).
-5
Let a(q) = 3*q + 10. Calculate a(-14).
-32
Let c(i) = -i**3 - 4*i**2 - i + 29. Give c(0).
29
Let a(m) = m + 25. Calculate a(-36).
-11
Let v(x) = -x**2 - 36*x + 205. What is v(-41)?
0
Let p(i) = -13*i + 93. Determine p(7).
2
Let a(d) = -14*d + 297. What is a(21)?
3
Let i(r) = -2*r**2 - 3*r + 12. Give i(-7).
-65
Let m(t) = -t**3 + 10*t**2 - 27*t + 37. Determine m(7).
-5
Let p(t) = -t**3 + 18*t**2 - 6. Determine p(18).
-6
Let m(w) = -8*w - 94. Determine m(0).
-94
Let i(x) = 12*x + 28. Determine i(-7).
-56
Let j(v) = v**3 + 3*v**2 - 4*v - 7. Calculate j(-4).
-7
Let h(k) = 11*k + 82. Give h(-8).
-6
Let z(l) = l**3 + 7*l**2 - 8*l + 5. Determine z(-8).
5
Let y(h) = 14*h**2 + h. Calculate y(-1).
13
Let i(l) = -2*l + 51. Determine i(25).
1
Let p(d) = -4*d - 10. What is p(-4)?
6
Let v(n) = 10*n - 278. Determine v(28).
2
Let j(w) = w**3 + w**2 - 3*w + 7. What is j(0)?
7
Let a(u) = 5*u + 105. Determine a(-20).
5
Let d(p) = p**2 - p. Determine d(-2).
6
Let c(n) = -n**2 + 7*n + 68. What is c(13)?
-10
Let y(m) = 37*m - 76. What is y(2)?
-2
Let y(z) = z**3 + 11*z**2 - 9*z + 28. Calculate y(-12).
-8
Let o(t) = -t**3 + 11*t**2 - 28*t - 2. Give o(4).
-2
Let v(q) = q**3 - 3*q**2 - 29*q + 6. Give v(7).
-1
Let n(s) = s**3 - 13*s**2 - 12*s + 4. Determine n(14).
|
{
"pile_set_name": "DM Mathematics"
}
|
297, -p = -3*a + u. What is the tens digit of a?
6
Suppose -2*q + 61 = 57, 0 = 5*w - 3*q - 69. What is the units digit of w?
5
Let m(i) = -i + 5. Let d be m(-5). Let f be (-4)/(-6)*45/d. Suppose -762 = -f*z - 3*z. What is the tens digit of z?
2
Suppose v - 17 = 3*x, 24 = 4*v - x - 0. Suppose 3*f - 1757 = -3*o - 2*o, -5*f = v*o - 2925. What is the hundreds digit of f?
5
Let g be (304/6)/4 + (-14)/21. Let q be 7/((-28)/g + 2). What is the tens digit of (-826)/q + (-8)/6?
3
Let h be 3/9*14/6*9. Suppose h*z - 896 = -70. What is the hundreds digit of z?
1
Let k be (-16)/(-8)*514/4. Let r = k + -132. What is the hundreds digit of r?
1
Suppose 3*f + 24 = 4*k, 5*k + 3*f - 8*f = 35. Suppose -25*s + 29*s = -k*b + 991, -2*b = 5*s - 670. What is the hundreds digit of b?
3
Let o(x) = x**2 + 21*x - 41. Let d be o(-23). Suppose -d*z = 5*a - 10, 10 = -0*a - 2*a. Suppose 2*h = z*h - 5. What is the units digit of h?
1
Let l = 1700 - 1346. What is the hundreds digit of l?
3
Let b(a) = 5*a**2 - 40*a - 247. What is the hundreds digit of b(-16)?
6
Let h(u) = 14*u + 14*u**2 + 19 - u**3 - 20 + 23. Let a be h(15). Suppose -a*q + 1052 = -152. What is the tens digit of q?
7
Let u be (-46)/(-4) + (3 - (-77)/(-22)). Suppose -u*y = -27*y + 9136. What is the tens digit of y?
7
Let v be 4/(-6) + 296/3. Let b = 764 + -779. Let f = v + b. What is the units digit of f?
3
Let s(z) = z**3 - 2*z**2 - 3*z + 2. Let c = 83 + -83. Let m be s(c). Suppose -3*h = 5*w - 247, 418 = -h + 6*h + m*w. What is the tens digit of h?
8
Let b = 4779 + 6249. What is the ten thousands digit of b?
1
Suppose 5 = 4*a - 7. Let i be 980/(-147)*(-9)/15. Suppose -2*d + a - 91 = -s, -5*s = i*d - 384. What is the tens digit of s?
8
Let j(q) = 10 + 11 + 1909*q + 1530*q**2 - 1928*q. What is the tens digit of j(1)?
3
Let y(t) = -t**3 - 17*t**2 - 69*t + 11. What is the thousands digit of y(-24)?
5
Let j be 3/2 + 45/30. Let v be -12*-1*(j - 4)/(-1). What is the units digit of 2818/16 - v/96?
6
What is the thousands digit of 6/4*(-3082992)/(-792)?
5
Let o(x) = 29*x + 20*x + 211 - 11*x + 15*x - 58. What is the hundreds digit of o(16)?
0
Let l = -75 - -75. Suppose -2*z = -y + 13, l = -2*z - 8 - 2. Suppose -4*o + s + 356 = o, 4*o - y*s = 276. What is the tens digit of o?
7
Let u = 4352 + 6850. What is the tens digit of (2/3)/(u/(-2241) + 5)?
9
Suppose 2*u = -42 + 2948. What is the tens digit of u?
5
Suppose 175*z - 180*z = 0. Suppose z = 9*k - 2791 - 4436. What is the tens digit of k?
0
Suppose 2*p - 3*h + h = 28652, 2*p + h - 28640 = 0. What is the tens digit of p?
2
Let d(b) = 20*b**2 + 8*b - 23. Let j be d(10). Let p = -474 + j. What is the thousands digit of p?
1
Let g = -2447 - -11442. What is the thousands digit of g?
8
Suppose -3*l = 4*i - 7, -i = l - 2 - 0. Let f(g) = 211*g**2 + 2*g. Let w be f(i). Suppose w = 5*h - 237. What is the tens digit of h?
9
What is the hundreds digit of (-21)/3 - (-495232)/16?
9
Let t be (-3)/2 - 35/14. Let h(g) = -96*g + 58. What is the tens digit of h(t)?
4
Let a be 805*37 - (-4 + 6 + 0). What is the tens digit of a/65 - (-1)/(-5)?
5
Let v = 337 + 515. What is the units digit of v?
2
Let a be (-1)/(4 + 514/(-128)) + -4. What is the units digit of (a/90 + 914/(-12))*-2?
1
Let l = -668 + 296. Let u = l - -948. What is the units digit of u?
6
Let v(g) = 35*g - 134. Let n be v(-8). What is the tens digit of n/9*(-30)/4?
4
Let g(r) = 2360*r**2 + 4*r - 6. What is the hundreds digit of g(2)?
4
Suppose -2*t + 528075 = 6*t + 37*t. What is the thousands digit of t?
1
Let s = 32 - 8. Suppose 0 = 4*d + d - 2*a - 55, -3*d + s = -3*a. What is the units digit of d?
3
Let t(w) = -8*w - w**3 + 14 - 12*w**2 + 0*w - 4*w**2. Let o(c) = 78*c + 1076. Let s be o(-14). What is the hundreds digit of t(s)?
1
Suppose 3 = -3*b, -5*n + 3692 = 2*b + b. Suppose c - 2*c = v - n, -4*c - 764 = -v. What is the hundreds digit of v?
7
Suppose 2*s - 2 = 0, -32*s = 3*a - 28*s - 10072. What is the tens digit of a?
5
Suppose -x = 5*a - 5 - 15, -a + 5 = 0. Let n be (0 + x/(-10))/(2/576). Suppose 0 = 4*u - 160 - n. What is the tens digit of u?
7
Suppose -4*a + 2 = -u, 2*a = 4*u + 15 + 7. Let f = u + -27. Let x = -29 - f. What is the units digit of x?
4
Let a = -346 + -38. Let g = a + 213. Let d = g - -293. What is the units digit of d?
2
Suppose -3*u - 322 + 292 = 0. Let y(z) = 3*z + 6. Let i be y(8). What is the units digit of ((-54)/u)/(9/i)?
8
Let w = 0 + -45. Let u be (0 + 5)/(3/w). What is the units digit of -1 - 0 - ((9 - 4) + u)?
9
Let p = 132 + -138. Let m(z) = -z**3 - 7*z**2 - 5*z + 3. Let o be m(p). What is the tens digit of o*(-94)/3 + 3?
9
Let c(k) = -k + 13. Let o be c(13). Suppose h + 4 + 2 = o. Let w(u) = -21*u - 17. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is s(n(a))?
-36*a**2
Let j(c) = 6 - 4 - 4*c - 2. Let u(n) = -3*n. What is j(u(a))?
12*a
Let x(g) = 3*g**2. Let y(r) = 5*r + 3. What is y(x(z))?
15*z**2 + 3
Let t(v) = -164*v. Let n(d) = 7*d**2. Determine n(t(u)).
188272*u**2
Let l(n) = -n**2 + 48*n. Let c(q) = 11*q**2 + 2. Determine l(c(v)).
-121*v**4 + 484*v**2 + 92
Let f(h) = -2*h + 0*h + 0*h + 3*h. Let r(d) = -20*d. Calculate f(r(t)).
-20*t
Let o(d) = -3*d**2. Let h(i) = -5*i + 35. Let s(v) = -1. Let n(z) = 3*h(z) + 105*s(z). What is o(n(u))?
-675*u**2
Let s(i) be the first derivative of i**2/2 - 4*i + 6. Let v(w) = w - 5 - 4*w + 4*w. Let n(d) = 5*s(d) - 4*v(d). Let g(m) = -4*m. Give g(n(q)).
-4*q
Let q(l) = -6*l - 5*l + 10*l. Let x(t) = t**2. Calculate q(x(b)).
-b**2
Let g(t) = -3*t. Let w(c) = c. Let r(z) = g(z) + 5*w(z). Let q(v) = 17*v. What is q(r(d))?
34*d
Suppose -3*o = -y - 7, y + 3*o = -3*y + 17. Let v(f) = y*f + f - 3*f - f**2. Let d(l) = -3*l**2. Determine v(d(s)).
-9*s**4
Let b(k) be the third derivative of k**4/3 + 2*k**2. Let i(a) = -a. What is b(i(x))?
-8*x
Let b(n) = 18*n**2. Let d(t) be the second derivative of t**3/3 + 14*t. What is d(b(w))?
36*w**2
Let m(y) = -y. Let n(b) = 140*b**2 - 2*b. Calculate n(m(i)).
140*i**2 + 2*i
Let w(l) = 2*l - 108. Let f(c) = -2*c. Determine f(w(r)).
-4*r + 216
Let t(v) = 2*v**2 + 8*v. Let d(f) be the second derivative of -f**4/6 - 7*f. Calculate d(t(j)).
-8*j**4 - 64*j**3 - 128*j**2
Let k(z) = 5*z**2 - 1 + 1. Suppose 4*v + 0 - 5 = -s, 5*v = -3*s + 1. Let i(j) = -3*j + 4*j - j + v*j. Calculate i(k(c)).
10*c**2
Let m(i) = -26*i**2. Let r(t) = 41*t**2. Determine r(m(z)).
27716*z**4
Let h(o) = -o**2. Let k(m) = -15*m**2 + 6. Let s(t) = 16*t**2 - 5. Let x(q) = 5*k(q) + 6*s(q). Determine h(x(u)).
-441*u**4
Let f(p) be the third derivative of -11*p**4/24 + 13*p**2. Let j(s) = -3*s**2. Calculate f(j(y)).
33*y**2
Let b(t) = -t - 1. Suppose -2*r + 4 = -r. Let z(v) = -2*v - 4. Let y(s) = r*b(s) - z(s). Let l(x) = 6*x. Determine y(l(m)).
-12*m
Let k(j) = -195*j. Let f(o) = 2*o. Calculate f(k(q)).
-390*q
Let q(g) = -3*g**2. Let d(y) = -7*y + 5. Let l(n) = -3*n + 2. Let z be -1*(-5 + 1 + 0). Suppose -3*m - 2 = z. Let r(x) = m*d(x) + 5*l(x). Calculate q(r(k)).
-3*k**2
Let w(t) be the second derivative of -t**6/120 + t**3/3 + t. Let z(x) be the second derivative of w(x). Let q(s) = 0*s + s - 2*s. Determine z(q(d)).
-3*d**2
Suppose 0 = 3*n - 6 - 0. Suppose 0 = -n*i + 4*i. Let l(b) = 3*b**2 + i*b + 0*b. Let w(j) = -j**2. Give l(w(c)).
3*c**4
Suppose a - c = 0, -2*a = -6*a - 4*c + 16. Let r(l) = -a*l**2 + 4*l**2 + 0*l**2. Let x(h) = -1 + 3*h + 4 - 3. Determine r(x(k)).
18*k**2
Let n(g) = 4*g**2. Let t(y) be the first derivative of -10*y**3/3 - 35. Determine n(t(x)).
400*x**4
Let y(f) be the third derivative of 119*f**5/60 + 41*f**2. Let s(p) = -2*p**2. Calculate s(y(r)).
-28322*r**4
Let k(o) = -o. Let t(r) = 11*r**2 + 6. Let u(z) = -97 - 80 - 134*z**2 - 207*z**2 - 10. Let j(y) = 187*t(y) + 6*u(y). What is j(k(q))?
11*q**2
Let f(k) = 121*k**2. Let q(a) = -3*a. What is q(f(c))?
-363*c**2
Let r(z) = 23*z + 2. Let y(f) = 2*f - 20. Calculate y(r(q)).
46*q - 16
Let r(u) = -153*u + 8. Let g(y) = -y**2. Calculate r(g(o)).
153*o**2 + 8
Let a(t) = t + 34. Let k(r) = r**2. Determine a(k(u)).
u**2 + 34
Let k(u) be the first derivative of u**2/2 + 25. Let d(p) = -4*p. Give d(k(m)).
-4*m
Let r(f) = -3*f - f + 5*f. Let h(j) be the second derivative of -j**3/2 + 16*j. Give h(r(v)).
-3*v
Let y(k) = -2*k**2. Let i = -21 - -11. Let u = i + 15. Let n(a) = 1 - 2*a**2 - 1 + u*a**2. Give y(n(v)).
-18*v**4
Let g(d) be the first derivative of d**5/120 - d**3/3 - 1. Let j(x) be the third derivative of g(x). Let n(q) = 2*q**2. Determine j(n(y)).
2*y**2
Let p(t) = 2*t**2. Let r(h) = 9*h**2 - 2*h**2 - 10*h**
|
{
"pile_set_name": "DM Mathematics"
}
|
w for q.
0
Let n be 12/(-84) - 2/(-14). Let l be n/(-1) + (-7 - -7). Solve l = -0*k - k + 5 for k.
5
Let i = 56 + -53. Let m(v) = -3*v + 11. Let r be m(i). Suppose 0 = 4*j + 3 - 15. Solve 0 = t + r*t + j for t.
-1
Let s(f) = 6*f + 43. Let h be s(-5). Let w = -9 - -17. Suppose 0 = -n - 1, -2*m - n = -w + 1. Solve 7 = -m*o - h for o.
-5
Suppose 2*b - 5*z = -16, 2*b + z + 3*z + 16 = 0. Let s be (-14)/(-6) + b/(-12). Let g be (-6 + s)/6*-4. Solve -3*l = -l + g for l.
-1
Suppose 0 = 44*z - 40*z - 8. Let m be 2 + z + 5 + -4. Solve -12 = -m*a + 2*a for a.
4
Let z = -11 + 16. Let l = -107 - -112. Solve -10 = -l*y + z for y.
3
Let t = -27 + 21. Let p be (-6)/(-4) + (-3)/t. Solve 2*j + 0 = p for j.
1
Suppose 0 = -23*a + 4*a. Solve -c + 5 + a = 0 for c.
5
Suppose n + 75 + 51 = 3*t, 0 = 5*n. Let y = 24 + -49. Let h = y + t. Solve 4*v = -h - 3 for v.
-5
Let w(r) = 2*r - 2. Let n be w(1). Let c = -12 + 20. Let u = -1 + 1. Solve n = 4*j - c - u for j.
2
Suppose 13 + 11 = 6*c. Solve 0*b = b + c for b.
-4
Let c be 2 + -3 - (-1 + 0/2). Suppose c = d - 5 + 2. Solve -3*s + d = -9 for s.
4
Let u be 1 + (-12)/(-1) + -3. Suppose 0 = 5*x - 4*s - 17, -3*x - x + u = -5*s. Suppose -x*y + 10 = 2*a, 0*y + 5*a = 3*y - 6. Solve 4 = b - y*b for b.
-4
Suppose -5*n - 2*s + 43 = -32, -n + 2*s + 3 = 0. Solve n*z + 8 = 15*z for z.
4
Let o be (5/(-3) + -1)*(-3)/2. Let k be (-8)/(-6)*9/o. Solve -k*s + 1 + 5 = 0 for s.
2
Suppose 2*t = -u, 3*t + 48 + 7 = 4*u. Solve 5*s = u*s - 5 for s.
1
Let x be -2*(-1)/(-2)*-5. Let y = x + 3. Let w = -84 + 85. Solve w = -3*d - y for d.
-3
Let k(u) = -u**2 + 5*u - 3. Let w be k(3). Suppose -14 = w*b - 5*y, 3*y = -b - 0*y + 14. Solve b = 4*n - 6 for n.
2
Suppose 250 = 5*k - 2*w, -3*k + 145 = 2*w + 11. Let m be 4/6 + 160/k. Suppose 12 = m*u - 0. Solve u - 6 = 3*r for r.
-1
Let j(o) = o**2 - 2*o - 2. Suppose -2*w - 1 = -x - w, -4*x + 5*w = -1. Let a be j(x). Let d be (-5 - -5)/(2 - a). Solve d = -i - 0*i - 2 for i.
-2
Let o(h) = -h + 1. Let a(t) = t - 8. Let b(k) = a(k) + 2*o(k). Let y be b(-8). Solve 5*i - 3 - y = 0 for i.
1
Let d(g) = -4*g + 7. Let q(v) = -7*v + 14. Let w(r) = r**2 - 11*r + 15. Let a be w(10). Let i(h) = a*d(h) - 3*q(h). Let m be i(10). Solve -m*k = -14 - 1 for k.
5
Let c(s) = -s**2 + 3*s - 5. Let a be c(4). Let h be (-4)/(4 + 39/a). Solve -2*x - x = h for x.
-4
Let b = 35 - 34. Let w be ((-2)/2)/(-3)*3. Solve b + w = 2*j for j.
1
Suppose -5*a = 4*d - 19, 3*d + 9 = 5*a - 3. Solve 12*h = 13*h - a for h.
3
Let i = 12 - 5. Let a = 56 - 45. Suppose j + i = a. Solve 0*l = -j*l - 4 for l.
-1
Let i(o) = -24*o**3 + 11 - 2*o**2 - 9*o + 25*o**3 - 5*o**2. Let l be i(8). Solve b = 1 - l for b.
-2
Let z = -208 + 215. Solve z*d - 5*d = -4 for d.
-2
Let r(x) be the first derivative of x**2/2 + 12*x - 3. Let y be r(-8). Suppose -4*p = -3*k + 14, -3*p + 1 - 7 = 0. Solve 0 = -3*n + k + y for n.
2
Suppose -4*b + 23*b - 76 = 0. Suppose 3*l - 14 + 5 = 0. Suppose 6*y - 40 = -l*p + b*y, -4*y - 4 = -p. Solve -v - p = -4*v for v.
4
Let r be (-1 - -22) + 1/((-1)/3). Suppose 5*n = -3 + r. Solve n*a = -7 - 5 for a.
-4
Let k(t) be the first derivative of -t**4/4 + 10*t**3/3 - 3*t**2 - 21*t - 13. Let m be k(9). Let x(p) = -4*p - 8. Let n be x(-6). Solve m = 2*z + n for z.
-5
Let b = 148 - 141. Solve -8*p = -b*p for p.
0
Let m be (-19)/((-741)/(-12))*-13. Solve -14*v - m - 38 = 0 for v.
-3
Let g = 17 + -15. Let k(d) = 29*d + 59. Let a be k(-2). Solve g*v + 9 = a for v.
-4
Suppose 2 + 10 = 3*r. Suppose -m - 4*m = 3*h - 10, m = r*h + 2. Let f be h - 1 - -4 - -3. Solve 6 = -4*p + f*p for p.
3
Suppose -i - 16 = 4*n, -n + 5*i - i - 4 = 0. Let f be 5 + (-3 - n) - 2. Solve a = -f*a - 5 for a.
-1
Let c(m) = -m**2 + 4*m - 4. Let g be 3 - ((-5)/(-1) + -4). Let l be c(g). Solve l = 2*h + 3*h - 15 for h.
3
Let c(d) = -d + 19. Let w be c(17). Let k(r) = r**2 - 2*r - 5. Suppose 3*l - 4*v + 5 = 13, 0 = 2*v - 2. Let f be k(l). Solve f*q = w + 13 for q.
5
Let g be 2/(-6) + (-28)/(-3). Let v(t) = -1 - 32*t**2 - 7*t + 30*t**2 + 1. Let q be v(-3). Solve 2*i + g = q for i.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Determine g(77).
-5
Let z(d) = -6*d**3 + 31*d**2 + 57*d - 325. Determine z(5).
-15
Let y(z) = z**3 + 27*z**2 - 810*z - 60. Calculate y(-45).
-60
Let p(q) = 2*q**3 - 57*q**2 - 3423*q + 98425. Give p(29).
-1
Let y(t) = 21*t**2 + 9408*t - 28229. What is y(3)?
184
Let y(h) = h**3 - 9*h**2 - 685*h + 4825. What is y(7)?
-68
Let q(v) = 2493*v - 12800. Calculate q(4).
-2828
Let d(q) = 50*q**2 - 629*q + 27. Determine d(13).
300
Let p(i) = i**3 - 1935*i**2 + 66497*i + 88. Determine p(35).
-17
Let p(n) = 2*n**2 - 566*n + 2233. Determine p(280).
553
Let o(s) = -2*s**2 + 49*s + 183. Give o(-7).
-258
Let i(z) = -z**3 - 25*z**2 + 224*z - 1377. Determine i(-33).
-57
Let m(w) = -w**3 + 7*w**2 + 47*w - 1. What is m(4)?
235
Let a(w) = 7*w**2 - 1168*w - 3551. Calculate a(-3).
16
Let y(d) = -d**3 + 245*d**2 + 3166*d - 1099407. Calculate y(239).
-7
Let t(f) = 3*f**2 - 2209*f - 93155. What is t(-40)?
5
Let v(l) = -46*l + 6137. Give v(129).
203
Let d(n) = n**3 + 518*n**2 + 12330*n + 147. Calculate d(-25).
22
Let i(o) = -2*o**2 - 33*o + 20958. Determine i(-111).
-21
Let t(y) = -90*y - 1761. Give t(-21).
129
Let c(k) = 5*k**3 - 630*k**2 + 155*k - 19563. What is c(126)?
-33
Let t(z) = 67775*z + 1220012. Give t(-18).
62
Let i(d) = -7*d**2 + 140*d - 718. Calculate i(21).
-865
Let n(b) = 137*b - 610. What is n(-3)?
-1021
Let g(j) = 44*j**2 + 86071*j - 518007. Calculate g(6).
3
Let q(d) = 2*d**3 + 659*d**2 - 1877*d + 151188. Calculate q(-333).
6
Let i(l) = l**2 - 44*l - 349. Determine i(-17).
688
Let m(h) = 20*h**3 + 1963*h**2 + 293*h + 20. Calculate m(-98).
118
Let n(s) = -s**3 + 30*s**2 + 91*s + 1718. Give n(33).
1454
Let t(p) = 4*p**3 + 2*p**2 + 4425*p - 4427. What is t(1)?
4
Let b(c) = 17*c**2 - 7262*c + 14454. Calculate b(2).
-2
Let p(n) = 3*n**3 - 918*n**2 + 44830*n + 1224. Determine p(245).
-1
Let d(w) = -9*w**2 - 86*w + 4633. Give d(-28).
-15
Let b(q) = -77392*q - 60520542. What is b(-782)?
2
Let y(k) = -285*k + 10779. Give y(37).
234
Let a(q) = 6986*q + 187398. What is a(-27)?
-1224
Let h(j) = 2*j**2 + 52426*j + 209677. What is h(-4)?
5
Let h(j) = 121658*j + 208. Determine h(0).
208
Let u(n) = -7*n**2 + 2623*n - 10375. Calculate u(4).
5
Let f(x) = 20085*x + 120521. What is f(-6)?
11
Let v(o) = 49*o - 1491. What is v(34)?
175
Let x(s) = 26509*s + 397634. Determine x(-15).
-1
Let k(j) = -3*j**2 + 82*j - 353. What is k(6)?
31
Let a(j) = 18*j**3 - 13*j**2 + 128*j + 248. Give a(-2).
-204
Let d(z) = 9*z**3 + 40*z**2 - 7*z - 50. Give d(-5).
-140
Let s(o) = 19*o**2 - 4891*o - 1982. Calculate s(258).
856
Let c(f) = -f**2 - 323*f + 11085. What is c(31)?
111
Let y(b) = 31*b**2 - 256*b + 1228. What is y(5)?
723
Let i(q) = -q**2 + 262*q + 2034. Give i(-18).
-3006
Let z(g) = -g**3 + 8*g**2 + 13018*g - 91142. What is z(7)?
33
Let c(w) = w**3 + 14*w**2 - 62*w - 57. Give c(-8).
823
Let z(s) = -6*s**2 + 382*s - 3105. What is z(54)?
27
Let f(h) = 2*h**2 + 596093*h + 30395544. Calculate f(-51).
3
Let w(f) = -12652*f + 467574. What is w(37)?
-550
Let h(r) = r**3 - 176*r**2 + 19913*r - 3306701. Calculate h(172).
-1
Let q(b) = -2*b**2 - 190*b - 2767. Calculate q(-18).
5
Let c(s) = 431*s - 41376. Calculate c(96).
0
Let a(l) = -l**3 - 21*l**2 + 789*l - 168. Determine a(19).
383
Let k(y) = -852*y - 297512. Give k(-350).
688
Let d(o) = -16*o**2 + 578*o - 2326. Calculate d(4).
-270
Let s(j) = -5*j**2 + 1604*j + 72554. Give s(361).
-7
Let l(m) = 209*m**2 - 27794*m - 535. Determine l(133).
-136
Let a(z) = 16*z**2 - 226*z - 636. Give a(-3).
186
Let w(y) = 87*y**2 - 1160*y - 93. What is w(13)?
-470
Let k(o) = 114*o**3 + 230*o**2 - 26*o - 8. What is k(-2)?
52
Let d(v) = v**2 - 2024*v - 420665. What is d(-190)?
-5
Let v(x) = x**2 + 225*x + 12575. Give v(-110).
-75
Let g(x) = 137407*x + 10580337. Calculate g(-77).
-2
Let x(k) = -k**3 + 33*k**2 + 1142*k + 23. Give x(-21).
-145
Let g(h) = -21479*h + 150363. Determine g(7).
10
Let t(v) = -4*v**3 + 435*v**2 + 611*v - 6701. Give t(110).
9
Let t(i) = -i**3 + 47*i**2
|
{
"pile_set_name": "DM Mathematics"
}
|
is -6 plus -535420?
-535426
What is 76.5 less than 0.5?
-76
Work out 0.272 - 4.
-3.728
What is 0.063 - 30?
-29.937
Put together 0.5 and 25144.
25144.5
What is 0.12 less than -13551?
-13551.12
What is 202 + -22?
180
What is -0.1 - -90?
89.9
Add 2.6419 and -0.03.
2.6119
What is -12 minus -1.1?
-10.9
What is -0.3 minus 160890?
-160890.3
What is 0.97 less than 0.11?
-0.86
Total of -1.4 and -251.
-252.4
Add 3 and 7995.
7998
3 - 1719
-1716
0.3 - 54.34
-54.04
2+-37.892
-35.892
What is 4 minus 0.2543?
3.7457
15995 + -1
15994
Calculate -220948 + -2.
-220950
What is the difference between -20 and -4.3?
15.7
Total of 91 and 30.
121
What is -271 plus 78?
-193
Total of 0.0384 and 0.1.
0.1384
What is 122689 take away 30?
122659
What is 0 + -146?
-146
0.4 + 0.699
1.099
Sum 4 and -35.0363.
-31.0363
Add together 0.14102 and 0.3.
0.44102
What is 0.17 minus -3.56?
3.73
Sum 154 and 846.
1000
Total of 5 and -2.9277.
2.0723
What is 92 minus -69.1?
161.1
Calculate 0.03079 - -99.
99.03079
Calculate -0.099274 + 0.03.
-0.069274
-7 - 18896
-18903
What is -25.82 - 0.6?
-26.42
What is -250354 minus 0.2?
-250354.2
What is -114 take away 0.123?
-114.123
What is the distance between -37 and 750?
787
Work out -35535 - 0.039.
-35535.039
Subtract -0.06384 from 0.
0.06384
Subtract -161 from 0.1.
161.1
What is -0.139971 minus -2?
1.860029
Put together -0.1 and 2233702.
2233701.9
Add together 50 and -1.3.
48.7
What is 10 minus 5323.5?
-5313.5
Total of -0.069 and -30.5.
-30.569
Put together 1873 and -537.
1336
Work out -552 - 1812.
-2364
Calculate 47 - 2249.
-2202
Work out 41 + -277.
-236
What is the difference between -8.2 and -0.13?
8.07
What is 56 minus 4155?
-4099
Subtract 341.165 from 0.4.
-340.765
Put together -32 and -57.12.
-89.12
-11 - -27.4
16.4
What is the difference between 1 and 9925228?
9925227
Put together 0.00036 and 0.32.
0.32036
Work out 1.2 + 826.
827.2
What is -1 plus -15?
-16
What is 44477 less than 2?
-44475
Total of 18254.1 and 0.4.
18254.5
Add -1780 and 0.031.
-1779.969
What is the distance between -2325 and -0.03?
2324.97
Work out -0.4 - -502.
501.6
What is the difference between 1 and -57708?
57709
Calculate -26 + 4239.
4213
Work out -1790 - -64.
-1726
Total of 0.004 and 2.
2.004
2555.7 - -0.4
2556.1
Total of 9.14 and 20.
29.14
What is -5 - -50892?
50887
0.4+0.06331
0.46331
Put together 0.13381 and -1.
-0.86619
14.26 - 1.1
13.16
What is -128 take away -0.14?
-127.86
119 + -4139
-4020
What is -0.1 minus -330088?
330087.9
Work out 5 + -0.433.
4.567
Sum -83.14 and -2.49.
-85.63
What is 63.4 minus 0.68?
62.72
Add 0.19 and -3967.6.
-3967.41
What is the difference between 0.07 and 0.00903?
0.06097
Add together 2.1 and 12980.
12982.1
What is -24831 take away 2?
-24833
-10.3+-125.95
-136.25
Total of 152 and 3.4.
155.4
Sum 101016 and -0.05.
101015.95
-1 - 1.254427
-2.254427
What is the distance between 23 and 0.075822?
22.924178
-114.9+6
-108.9
Calculate -23637 + -12.
-23649
Calculate -0.7 + -11712.
-11712.7
What is -1 + 164?
163
Add together -0.2 and -19.408.
-19.608
What is the difference between 1337 and 423?
914
Put together 4 and -1.93.
2.07
10 + 64338
64348
0 - 2.3022
-2.3022
What is 0.862 + -24?
-23.138
Sum 650 and -0.1.
649.9
What is -0.01 minus -362950?
362949.99
-6 - -133598
133592
What is -307 minus -0.0107?
-306.9893
Add together 11941 and 0.5.
11941.5
What is -0.215 take away 9?
-9.215
Subtract 11.3 from 122.
110.7
What is 128.8 - 3?
125.8
Subtract -763 from -5.
758
Add 12 and -741.
-729
Add together 0.07 and -0.72102.
-0.65102
Total of 13081 and -290.
12791
What is -0.2 take away -105432?
105431.8
Put together 3 and 26372.
26375
What is the distance between -2 and -208947?
208945
Work out 9 + 7804.
7813
Add -0.05 and 585.
584.95
What is -1513 minus -0.1?
-1512.9
What is the distance between -0.1 and -84.97?
84.87
Work out -24107 + 0.49.
-24106.51
What is 147 less than -304?
-451
What is 4.86 plus 4.192?
9.052
Work out -382 + -0.5.
-382.5
What is the distance between 3 and -4.3?
7.3
What is -41.89 minus -0.1?
-41.79
What is 0.5 minus -393910?
393910.5
What is -0.97 minus 13.6?
-14.57
What is 0.3 - 283.5?
-283.2
What is the difference between 0.837 and 19897?
19896.163
Calculate -0.5 + 10.08.
9.58
What is the difference between 0.02 and 109?
108.98
Put together 0.2 and 2.478.
2.678
What is 2992875 + 0.2?
2992875.2
What is 0.977 plus 6236?
6236.977
-1.08 - 9
-10.08
Add -553 and -0.315.
-553.315
What is the difference between 270 and -1439?
1709
What is -0
|
{
"pile_set_name": "DM Mathematics"
}
|
h**5 + 604*h**2 + 2*h + 675?
3426000*h**2
What is the derivative of 2*d**3 + 804311*d - 16734077 wrt d?
6*d**2 + 804311
Differentiate 5*q*s**3 + q*s + 711*q - 22*s**3 + 36*s**2 + 505 wrt s.
15*q*s**2 + q - 66*s**2 + 72*s
What is the second derivative of -j**4 - 2194*j**3 - 151*j**2 + 103928748*j?
-12*j**2 - 13164*j - 302
Find the second derivative of -856*t**3 - 4999*t**2*u + 5677*t*u + 83*u wrt t.
-5136*t - 9998*u
Differentiate 1556*d*j + 471664868*d + 91415*j**4 wrt j.
1556*d + 365660*j**3
Find the second derivative of 82587428*v**2 - 110072356*v wrt v.
165174856
Find the third derivative of 11012*j**3*m**3 + 832*j**3*m**2 - 126*j**3*m + 2*j**3 + j**2*m**3 + 14*j**2*m + 17*j*m**3 wrt m.
66072*j**3 + 6*j**2 + 102*j
What is the derivative of 4*h**4 - 9251*h**3 - 17*h**2 + 404823 wrt h?
16*h**3 - 27753*h**2 - 34*h
What is the second derivative of 3018222*y**4 + 7073560*y wrt y?
36218664*y**2
Find the third derivative of 123*z**6 - 5*z**5 - 25181*z**3 + 2*z**2 + 595170*z.
14760*z**3 - 300*z**2 - 151086
Find the second derivative of 4665225*i*t**4 + 5259*i*t - t**2 - 31*t - 4 wrt t.
55982700*i*t**2 - 2
What is the first derivative of -412261*f**4 + 7*f**3 - 2589385 wrt f?
-1649044*f**3 + 21*f**2
Find the first derivative of 1111*a**3*p + 83038*a*p + 475530211*p wrt a.
3333*a**2*p + 83038*p
What is the second derivative of 147*m**4 + 21223*m**2 - 2069248*m?
1764*m**2 + 42446
What is the derivative of 2*g**4 - 2*g**3 - 3*g**2 - 10*g + 7920460?
8*g**3 - 6*g**2 - 6*g - 10
Find the third derivative of 9*h**2*w**3*z**3 + 11*h**2*w**2*z**3 + 4*h**2*w*z**2 + 391*h*w**2*z**3 + h + 319381*w**3*z**3 - 2*w**2*z**3 wrt w.
54*h**2*z**3 + 1916286*z**3
What is the second derivative of 603737*j**3 - 44912887*j?
3622422*j
What is the first derivative of 147439392*f*h**2 + 194408295*h**2 wrt f?
147439392*h**2
What is the first derivative of -7215783*l**2 - 6731074 wrt l?
-14431566*l
What is the derivative of -2336605*a**2 + 6*a + 126385579?
-4673210*a + 6
What is the second derivative of -13654*f**3 + 38*f**2 + 225198*f?
-81924*f + 76
Find the first derivative of -1015178437*v + 847642349.
-1015178437
Differentiate -104*y**4 + 13121*y + 5102409 with respect to y.
-416*y**3 + 13121
Find the third derivative of 894*i**5 - i**4 + 88653*i**3 - 57828*i**2 - 1508*i wrt i.
53640*i**2 - 24*i + 531918
Differentiate -2407866*j**2*o**3 + 18*j**2*o**2 + 211519755*o**3 wrt j.
-4815732*j*o**3 + 36*j*o**2
Find the third derivative of -13*g*l*w**3 + 2*g*l*w**2 + 155529*g*l + 14*g*w**3 + 3*g + 26*l*w**3 + l*w**2 - 4*l*w + 5*w**3 wrt w.
-78*g*l + 84*g + 156*l + 30
What is the second derivative of 3147709*z**2 - 206201*z + 42 wrt z?
6295418
Differentiate -238493*x**4 - 6923499 wrt x.
-953972*x**3
Find the second derivative of 224*i**4 - 150*i**2 + 43383082*i - 2 wrt i.
2688*i**2 - 300
What is the second derivative of 2434*g**3*w**2 + g**3*w - 2*g**3 + 5382*g**2*w**4 + 2*g**2*w + 384120*g**2 wrt w?
4868*g**3 + 64584*g**2*w**2
What is the first derivative of 11*k**2*s**2 - 3*k**2 + 1465437*k*s + 17193968*k + 2 wrt s?
22*k**2*s + 1465437*k
What is the derivative of -52286440*y + 7494375 wrt y?
-52286440
What is the derivative of -13432313*k**4 - 153825001 wrt k?
-53729252*k**3
Find the third derivative of -1807913*q**3*x + 3*q**2*x + 60*q**2 + 2*q*x + 61*x + 1 wrt q.
-10847478*x
Find the first derivative of 127670060*y - 231869667 wrt y.
127670060
Find the third derivative of -389232246*k**3 + 43991121*k**2 - 2 wrt k.
-2335393476
What is the third derivative of 705*n**2*p**4 - 149*n**2*p**2 + 108*n**2 - 4*n*p**2 - 2*n + 4506*p**4 + 3*p**2 wrt p?
16920*n**2*p + 108144*p
Find the third derivative of -21*d**2*g**4 + 3086012*d**2*g**2 - 55414*g**3 wrt g.
-504*d**2*g - 332484
What is the first derivative of -j*n*y - 2*j*n - 79085*j*y - 3*j - 1750*n*y - 77*n + 4*y wrt j?
-n*y - 2*n - 79085*y - 3
What is the third derivative of -193562604*d**3*r**4 + 2214*d**3*r + 3*d*r**2 + 2522*r**2 wrt r?
-4645502496*d**3*r
Differentiate -3*b**3 - 51164929*b**2 + 2*b*o + 362137942*o with respect to b.
-9*b**2 - 102329858*b + 2*o
What is the third derivative of -10604713*o**6 - 1468713*o**2?
-1272565560*o**3
Find the second derivative of -1302*c**2*y**4 + 1085*c**2*y**2 - 9*c**2*y + 6792*c**2 - 2*c*y - 125*c - 2*y wrt y.
-15624*c**2*y**2 + 2170*c**2
Find the first derivative of -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
2, 3, 27679913
What are the prime factors of 1747980860?
2, 5, 79, 1106317
What are the prime factors of 1119803927?
11, 37, 2751361
What are the prime factors of 594349465?
5, 919, 129347
What are the prime factors of 126841749?
3, 1427, 29629
List the prime factors of 104241891.
3, 13, 263, 10163
List the prime factors of 26363923.
17, 1550819
List the prime factors of 675849151.
2237, 302123
What are the prime factors of 516114659?
199, 971, 2671
What are the prime factors of 397425503?
2267, 175309
List the prime factors of 40112582.
2, 20056291
List the prime factors of 155874005.
5, 7, 19, 41, 5717
List the prime factors of 140799013.
157, 947
List the prime factors of 81114460.
2, 5, 7, 263, 2203
List the prime factors of 292647037.
31, 9440227
List the prime factors of 16981497.
3, 13, 19, 7639
What are the prime factors of 13210021?
11, 179, 6709
What are the prime factors of 518349870?
2, 3, 5, 443, 13001
What are the prime factors of 17313255?
3, 5, 59, 6521
What are the prime factors of 67859515?
5, 13571903
What are the prime factors of 6821681?
229, 29789
What are the prime factors of 21552070?
2, 5, 2155207
What are the prime factors of 410289025?
5, 16411561
What are the prime factors of 40759576?
2, 11, 13, 41, 79
List the prime factors of 42006756.
2, 3, 11, 318233
What are the prime factors of 56577834?
2, 3, 89, 35317
What are the prime factors of 2284499776?
2, 13, 61, 45013
What are the prime factors of 1122535372?
2, 7, 467, 85847
What are the prime factors of 403886542?
2, 2729, 73999
What are the prime factors of 519650028?
2, 3, 14434723
What are the prime factors of 294929141?
13, 17, 59, 22619
List the prime factors of 223652311.
1471, 152041
List the prime factors of 324789858.
2, 3, 6014627
What are the prime factors of 138553017?
3, 46184339
What are the prime factors of 424128213?
3, 4327, 10891
What are the prime factors of 18402409?
43, 281, 1523
List the prime factors of 7236305822.
2, 127, 28489393
What are the prime factors of 153307518?
2, 3, 7, 13, 61, 4603
List the prime factors of 57956317.
57956317
List the prime factors of 81645433.
43, 191, 9941
List the prime factors of 28416854.
2, 41, 346547
What are the prime factors of 16134288?
2, 3, 43, 7817
List the prime factors of 52675555.
5, 10535111
List the prime factors of 132488679.
3, 44162893
List the prime factors of 81233186.
2, 40616593
What are the prime factors of 51840833?
11, 461, 10223
List the prime factors of 505803531.
3, 168601177
What are the prime factors of 137222658?
2, 3, 7623481
List the prime factors of 132408067.
11, 12037097
List the prime factors of 143231586.
2, 3, 59, 401, 1009
What are the prime factors of 31315116?
2, 3, 7, 19, 2803
List the prime factors of 7840701927.
3, 59, 14765917
What are the prime factors of 57789627?
3, 7, 2751887
What are the prime factors of 299031309?
3, 17, 97, 20149
What are the prime factors of 757432520?
2, 5, 13, 283, 5147
What are the prime factors of 24753247?
197, 125651
List the prime factors of 21077837.
11, 174197
List the prime factors of 65753789.
59, 1114471
What are the prime factors of 666504328?
2, 7, 1327, 8969
What are the prime factors of 6628374443?
17, 389904379
List the prime factors of 5479949884.
2, 61, 22458811
What are the prime factors of 626099399?
23, 27221713
List the prime factors of 352631972.
2, 7, 11, 61, 137
List the prime factors of 1162854168.
2, 3, 7, 179, 38669
What are the prime factors of 37733829?
3, 7, 17, 19, 5563
What are the prime factors of 1585714392?
2, 3, 23, 957557
List the prime factors of 242987851.
17, 769, 18587
List the prime factors of 56833410.
2, 3, 5, 607, 3121
What are the prime factors of 76324483?
139, 549097
What are the prime factors of 214454117?
214454117
List the prime factors of 296067800.
2, 5, 7, 30211
List the prime factors of 186922568.
2, 7, 3337903
What are the prime factors of 5263386780?
2, 3, 5, 87723113
List the prime factors of 520559255.
5, 104111851
What are the prime factors of 138370431?
3, 43, 311, 3449
List the prime factors of 3135204373.
7, 61, 311, 23609
What are the prime factors of 77073076?
2, 3557, 5417
What are the prime factors of 56112156?
2, 3, 127, 4091
What are the prime factors of 2294855880?
2, 3, 5, 19123799
List the prime factors of 3421742.
2, 1710871
What are the prime factors of 257140781?
4969, 51749
What are the prime factors of 58777512?
2, 3, 23, 233, 457
What are the prime factors of 55458958?
2, 1283, 21613
What are the prime factors of 7970457?
3, 11, 149, 1621
What are the prime factors of 17869255?
5, 113, 31627
List the prime factors of 235525352.
2, 31, 949699
List the prime factors of 1039800613.
1039800613
What are the prime factors of 201107478?
2, 3, 11, 13, 31, 7561
What are the prime factors of 3459802932?
2, 3, 137, 179, 3919
List the prime factors of 1360563829.
101, 13470929
What are the prime factors of 1480375657?
17, 23, 3786127
List the prime factors of 215569933.
347, 621239
What are the prime factors of 14663333?
17, 467, 1847
What are the prime factors of 3467958104?
2, 13, 41, 813311
List the prime factors of 3156718865.
5, 17, 331, 112199
What are the prime factors of 3803152515?
3, 5, 253543501
What are the prime factors of 173913439?
7, 24844777
List the prime factors of 632608542.
2, 3, 163, 23957
What are the prime factors of 160161258?
2, 3, 29, 920467
List the prime factors of 5385038.
2, 2692519
What are the prime factors of 534310811?
41, 2063, 6317
What are the prime factors of 597956849?
7, 181, 67421
List the prime factors of 1788589254.
2, 3, 67, 4449227
List the prime factors of 367487284.
2, 19, 23, 210233
What are the prime factors of 2319441391?
83, 27945077
What are the prime factors of 410927084?
2, 10
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate prob of picking 1 o, 1 j, and 2 d when four letters picked without replacement from odxdoddooddxjooddo.
49/765
What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, v: 1, o: 2, l: 4, j: 3, h: 3}?
2/35
Two letters picked without replacement from iqqqqiiiiii. Give prob of picking 2 i.
21/55
Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {p: 4, z: 4, l: 2, q: 1, g: 3}.
12/91
Two letters picked without replacement from srdbrdbbbnrpdnbbdb. Give prob of picking 1 p and 1 n.
2/153
Two letters picked without replacement from {e: 2, z: 2, t: 3, w: 9, r: 1}. What is prob of picking 1 z and 1 w?
9/68
Two letters picked without replacement from jpanckank. Give prob of picking 1 a and 1 j.
1/18
Two letters picked without replacement from hhh. Give prob of picking 2 h.
1
Four letters picked without replacement from tvwwvvtvwwwwwvw. Give prob of picking 4 v.
1/273
Three letters picked without replacement from yyyyssy. What is prob of picking 3 y?
2/7
Two letters picked without replacement from ymuueyeeyejs. What is prob of picking 1 s and 1 u?
1/33
What is prob of picking 2 m when two letters picked without replacement from mmmmwxxw?
3/14
What is prob of picking 3 t when three letters picked without replacement from {t: 9}?
1
Three letters picked without replacement from {m: 2, q: 1, z: 8, n: 1, c: 7, h: 1}. What is prob of picking 1 c, 1 n, and 1 h?
7/1140
Two letters picked without replacement from {r: 1, n: 1, m: 3, d: 6, i: 4}. Give prob of picking 1 n and 1 d.
2/35
Three letters picked without replacement from yyqyyaaqqyqy. Give prob of picking 2 y and 1 q.
3/11
Three letters picked without replacement from {w: 6, x: 2}. Give prob of picking 2 w and 1 x.
15/28
What is prob of picking 1 g and 1 q when two letters picked without replacement from {z: 4, t: 1, q: 1, y: 1, g: 1}?
1/28
What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, m: 1, w: 2}?
1/3
What is prob of picking 3 t when three letters picked without replacement from tbbbdbttb?
1/84
Calculate prob of picking 1 u and 3 d when four letters picked without replacement from dddduddduuudddduuuuu.
99/323
Calculate prob of picking 2 z when two letters picked without replacement from appppappzzaappzzpaa.
2/57
What is prob of picking 1 n and 1 a when two letters picked without replacement from {l: 4, m: 3, n: 1, a: 6, u: 1}?
2/35
Calculate prob of picking 3 r when three letters picked without replacement from {i: 6, r: 6}.
1/11
Calculate prob of picking 2 u when two letters picked without replacement from ugguuuuuggu.
21/55
Four letters picked without replacement from abtatdcb. What is prob of picking 1 d, 1 a, 1 t, and 1 b?
4/35
What is prob of picking 4 m when four letters picked without replacement from {m: 6, v: 12}?
1/204
Two letters picked without replacement from lllmlllllllm. Give prob of picking 1 l and 1 m.
10/33
Four letters picked without replacement from {v: 4, t: 6, r: 2, w: 1, s: 1, c: 4}. What is prob of picking 1 s, 2 v, and 1 w?
1/510
What is prob of picking 1 a, 1 y, and 2 p when four letters picked without replacement from {p: 2, m: 2, a: 1, y: 1, d: 2}?
1/70
Two letters picked without replacement from fdfnssfdf. What is prob of picking 1 s and 1 f?
2/9
Two letters picked without replacement from {e: 1, d: 17}. What is prob of picking 2 d?
8/9
What is prob of picking 2 h, 1 x, and 1 f when four letters picked without replacement from {f: 5, h: 4, x: 7, j: 2}?
7/102
Calculate prob of picking 2 i when two letters picked without replacement from ihhhhhihhhhi.
1/22
Calculate prob of picking 3 q and 1 l when four letters picked without replacement from {q: 4, l: 3}.
12/35
Two letters picked without replacement from gugytyyys. What is prob of picking 2 g?
1/36
Two letters picked without replacement from {p: 1, t: 1, f: 1, b: 1, j: 3}. Give prob of picking 1 f and 1 j.
1/7
What is prob of picking 1 m and 3 v when four letters picked without replacement from mmvmvmvmvvmvmvvmmvvv?
99/323
What is prob of picking 1 r, 1 z, and 1 e when three letters picked without replacement from {z: 5, r: 2, c: 1, e: 1}?
5/42
Two letters picked without replacement from vvbvvvvv. What is prob of picking 1 v and 1 b?
1/4
Two letters picked without replacement from {l: 2, i: 1, w: 1, r: 4}. What is prob of picking 2 r?
3/14
Two letters picked without replacement from rqrrdvqvvv. Give prob of picking 1 d and 1 v.
4/45
Three letters picked without replacement from {e: 2, f: 2, n: 1, a: 4}. What is prob of picking 1 n and 2 a?
1/14
Two letters picked without replacement from {i: 3, z: 1}. What is prob of picking 2 i?
1/2
Three letters picked without replacement from ggrmjr. Give prob of picking 1 r, 1 m, and 1 j.
1/10
Two letters picked without replacement from {z: 2, q: 2}. What is prob of picking 2 z?
1/6
Two letters picked without replacement from thtuhhtyhhutthbut. What is prob of picking 2 t?
15/136
Four letters picked without replacement from {l: 6, c: 2}. What is prob of picking 4 l?
3/14
Three letters picked without replacement from {g: 1, i: 2, l: 1, u: 1, h: 2, k: 1}. Give prob of picking 1 g, 1 u, and 1 i.
1/28
What is prob of picking 2 l when two letters picked without replacement from lllmklm?
2/7
Four letters picked without replacement from {w: 2, b: 11}. What is prob of picking 4 b?
6/13
What is prob of picking 2 x when two letters picked without replacement from xxxxxdxdxxd?
28/55
Three letters picked without replacement from qmxqqqqqmeqeq. Give prob of picking 1 e, 1 x, and 1 q.
8/143
Four letters picked without replacement from uqnqunnuuuuuijqujnjn. Give prob of picking 2 n and 2 u.
56/969
Two letters picked without replacement from wwmwwmmw. Give prob of picking 2 w.
5/14
Calculate prob of picking 2 m when two letters picked without replacement from gggggggggmgmgggggggg.
1/190
Four letters picked without replacement from ioooqoqi. What is prob of picking 4 o?
1/70
Three letters picked without replacement from {c: 7, z: 12}. Give prob of picking 1 c and 2 z.
154/323
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from mfmjmmmlmjmmlmjmmff.
22/171
Two letters picked without replacement from {t: 2, u: 4}. Give prob of picking 1 u and 1 t.
8/15
What is prob of picking 1 y and 1 g when two letters picked without replacement from cyhgc?
1/10
Three letters picked without replacement from {t: 1, q: 2, z: 1, j: 1, v: 2, u: 2}. Give prob of picking 1 t and 2 q.
1/84
Two letters picked without replacement from {f: 4, k: 2, r: 8, o: 2}. Give prob of picking 1 o and 1 f.
1/
|
{
"pile_set_name": "DM Mathematics"
}
|
i + 0*i - 80 = -5*c. Let f = -9 + 10. Let b = c - f. What are the prime factors of b?
11
Suppose 280 = 5*w + 10. List the prime factors of w.
2, 3
Let n(d) = 10*d + 2. What are the prime factors of n(5)?
2, 13
Suppose -3*v = 36 - 168. List the prime factors of v.
2, 11
Let w = -23 - -41. What are the prime factors of w?
2, 3
Suppose 5*r + 0*r - 105 = 0. What are the prime factors of r?
3, 7
Let r = 150 - 155. Let u(w) be the first derivative of w**3/3 + 5*w**2/2 + 3*w - 1. What are the prime factors of u(r)?
3
Suppose 0*w - 2*w - j = -65, 4*j = -4*w + 136. What are the prime factors of w?
31
Suppose -4*c - 2*t + 427 = 3*t, 3*c = 4*t + 359. What are the prime factors of c?
113
Let s be 3/(-1) - (-12)/2. Suppose -10 = -s*t + 17. List the prime factors of t.
3
Let z = 10 - 7. Suppose 6*g - 7 = z*g + 4*p, 4*p - 29 = -g. What are the prime factors of g?
3
Let i(y) = -y**2 + 5*y + 5. Let t be i(6). Let h be (t - -5 - -2)*-1. Let q(f) = -f**3 - 7*f**2 - 6*f + 5. List the prime factors of q(h).
5
Let m = -23 - -41. Suppose -5*g + m = -2*g. What are the prime factors of g?
2, 3
Let c = -37 + 87. List the prime factors of c.
2, 5
Let r = -3 - -59. List the prime factors of r.
2, 7
Let i be (-12)/(-1 + 2)*-1. Let g = -8 + i. List the prime factors of g.
2
Suppose -3*p + 29 = -q - q, 0 = -4*p + 3*q + 40. List the prime factors of p.
7
Suppose 3*h - 2*h = -4*p + 221, 3*p - 147 = 3*h. What are the prime factors of p?
2, 3
Suppose 2*s + 5*a - 2 = 1, -4*s + 3*a = 7. What are the prime factors of (2/s)/((-10)/125)?
5
What are the prime factors of (-43)/(3*(-4)/12)?
43
Let v(k) = -k**3 + 8*k**2 + 2*k - 10. Let j be v(8). Let c(s) = s**3 - 5*s**2 - 5*s + 2. What are the prime factors of c(j)?
2
Let l(j) = -j**3 - 6*j**2 - 6*j - 5. Let a be l(-5). Suppose a*s = s. Suppose 2*y - 5*y = -5*c + 5, -3*y - 5*c + 35 = s. List the prime factors of y.
5
Suppose j = -j - 18. Let l(h) = -h**2 - 12*h - 12. Let d be l(j). Let y = -4 + d. What are the prime factors of y?
11
Let g(n) = 5*n. What are the prime factors of g(6)?
2, 3, 5
Suppose -7*b + 2 = -6*b. Suppose b*t = -19 + 39. List the prime factors of t.
2, 5
Suppose i + 18 = 3*i. Suppose -4*q - 6*n + n - i = 0, 0 = -5*q + 2*n + 30. Suppose 5*m + 3 = g - q, -g + 3 = -m. List the prime factors of g.
2
Suppose d - 216 = 4*w, 2*w = 7*d - 3*d - 850. What are the prime factors of d?
2, 53
Let k(r) = -5*r**2 - 2*r. Let p(o) = 6*o**2 + 3*o + 1. Let s(y) = -3*k(y) - 2*p(y). List the prime factors of s(2).
2, 5
Suppose 2*c = 5 + 3. Let s(p) = p**2 - 2*p - 3. What are the prime factors of s(c)?
5
Suppose -5*b = 3*j - 16, -2*j + 26 + 14 = -4*b. Let p = -2 - -3. Let g = j + p. What are the prime factors of g?
13
Suppose 64 = 4*w - 4*n, -6*w - 5*n = -3*w - 16. Suppose 3*d = -d - w. List the prime factors of (1/d)/(1/(-33)).
11
Suppose 5 = 2*p - 4*m - m, 2*p + 5*m = 15. Suppose -p*s + 128 = -s. Suppose 2*n - s = -i + 3*i, 2*n = 5*i + 41. List the prime factors of n.
13
Let a(d) be the first derivative of -2*d**3/3 - d**2/2 + 2. Let h be a(1). List the prime factors of 52/6 - (-2)/h.
2
Suppose 3*c - 2*c + 159 = 2*n, 343 = 4*n + 3*c. What are the prime factors of n?
2, 41
Let w = -11 - -11. Suppose -k = -w*k - 4. List the prime factors of k.
2
Suppose -3*w = -5*s - 3 + 39, s = -5*w + 24. Let j(m) = 2*m - 12. What are the prime factors of j(s)?
2, 3
Suppose q - 5 = -0*q. List the prime factors of q.
5
Let x(v) be the third derivative of v**5/60 - v**4/8 - v**3 + 2*v**2. List the prime factors of x(6).
2, 3
Let h(j) = j + 0*j + 2*j + 0 - 7. List the prime factors of h(10).
23
Suppose -119 - 17 = -4*o. Suppose 0 = -3*i + m + o, i = 5*i + 3*m - 67. What are the prime factors of i?
13
Let b(w) = 4*w - 6. Let z be b(6). Let x be (-144)/27*z/(-8). Suppose -x = -4*h + 5*o + 11, 56 = 3*h + 4*o. List the prime factors of h.
2, 3
Suppose -n = -4*n. What are the prime factors of (-2 - n)/((-5)/30)?
2, 3
Suppose -5 = -5*u - 5*i, i = 2*u + 3*u - 11. Let v = u - -11. List the prime factors of v.
13
What are the prime factors of (-3)/6 - (-268)/8?
3, 11
Let f = -78 - -115. List the prime factors of f.
37
Let n(w) = 6*w + 4. Let j(c) = -13*c - 9. Let p(t) = 3*j(t) + 7*n(t). Let v be p(1). Suppose -r = v*r - 30. What are the prime factors of r?
2, 3
Let f = -5 + 7. Suppose v + 0 - 4 = 0. Let o = v - f. What are the prime factors of o?
2
Let u = -39 + 66. Suppose -3*b - 22 = -2*s - 5*b, 2*s + 3*b = u. Suppose s*l - 39 = 3*l. What are the prime factors of l?
13
Let k(i) = -2*i + 6. Let z be k(4). What are the prime factors of 2/(2/(-24)*z)?
2, 3
Let h be 33/(((-3)/(-2))/1). Suppose 2*k + 3*q - h = -3*k, 0 = k - q + 2. Suppose v - 9
|
{
"pile_set_name": "DM Mathematics"
}
|
/4 = 0. Calculate i.
-1, 1
Let g(r) be the second derivative of -r**7/147 - 2*r**6/105 + r**4/21 + r**3/21 - 2*r. Factor g(t).
-2*t*(t - 1)*(t + 1)**3/7
Let k(g) = -4*g - 181. Let m be k(-46). What is b in 18/5*b**m - 18/5*b + 4/5 - 4/5*b**2 = 0?
-1, 2/9, 1
Let k(h) = -3*h**3 - 8*h**2 - h + 12. Let g(x) = -8*x**3 - 25*x**2 - 3*x + 36. Let f(l) = 4*g(l) - 11*k(l). Find m, given that f(m) = 0.
-1, 1, 12
Determine a so that 2/7*a**3 - 2/7*a - 2/7*a**2 + 2/7 = 0.
-1, 1
Let v(o) = 10*o**4 + 6*o**3 + 2*o**2 + 6*o. Let l(d) = -19*d**4 - 13*d**3 - 5*d**2 - 11*d. Let z(f) = 6*l(f) + 11*v(f). Factor z(s).
-4*s**2*(s + 1)*(s + 2)
Let l be (2 + 0)/(20/(-184)). Let y = -18 - l. Solve -2/5*k**2 + y + 2/5*k - 2/5*k**3 = 0 for k.
-1, 1
Let y(m) be the third derivative of m**7/140 - 3*m**6/80 - m**5/40 + 3*m**4/16 + 15*m**2. Determine x so that y(x) = 0.
-1, 0, 1, 3
Let h = 697/462 + -2/231. Find f such that -h + 3/2*f**3 - 3/2*f + 3/2*f**2 = 0.
-1, 1
Let k be -1 + (-2 - -3*3). Suppose 2*x - 4 = k. Suppose 4*l - 5*l**4 - l**x - 14*l**3 + 3*l**3 - l**5 + 14*l**4 = 0. Calculate l.
-1/2, 0, 1, 2
Let o(c) = -2*c - 6. Let x be o(-3). Let f(v) be the second derivative of 0*v**2 - v + 1/6*v**4 + x*v**3 + 0 - 1/10*v**5. Factor f(m).
-2*m**2*(m - 1)
Let g(m) = 2*m**2 - 9*m + 15. Let c(u) = u - 1. Let r(f) = -3*c(f) + g(f). Solve r(v) = 0.
3
Let a(k) = k**3 + 4*k**2 + 3*k. Suppose s - 5*m = -0*s + 9, -5*s = 4*m + 13. Let g(l) = l**3 + l**2. Let i(f) = s*a(f) + 4*g(f). Suppose i(u) = 0. Calculate u.
-1, 0, 1
Let v = 16/71 + 62/355. Factor -8/5 + 8/5*q - v*q**2.
-2*(q - 2)**2/5
Determine k so that -2/9*k + 2/9*k**3 + 0*k**2 + 0 = 0.
-1, 0, 1
Let c(q) = -15*q**2 - 4*q + 11. Let k(w) be the first derivative of -7*w**3/3 - w**2 + 5*w - 4. Let u(t) = -6*c(t) + 13*k(t). Factor u(y).
-(y + 1)**2
Let p be 2/5 + -13 + (-564)/(-40). Suppose -3*f**2 + p*f + 3/2 - 3*f**3 + 3/2*f**5 + 3/2*f**4 = 0. Calculate f.
-1, 1
Let m(a) be the second derivative of -3*a - 1/80*a**5 + 0 - 1/3*a**3 - 1/2*a**2 - 5/48*a**4. Solve m(l) = 0 for l.
-2, -1
Let r = -419/3 - -109. Let s = r + 32. Factor -s*f**3 + 8/3*f**4 - 1/3*f + 5/3*f**5 + 2/3 - 10/3*f**2.
(f - 1)*(f + 1)**3*(5*f - 2)/3
Let v(l) be the first derivative of l**5/20 - l**4/2 + 2*l**3 - l**2 - 4. Let i(b) be the second derivative of v(b). Suppose i(x) = 0. What is x?
2
Let c be (84/35)/((-3)/(-2)). Let i be 8/(-5) + 2 + 2. Factor -2/5 - 2/5*q**4 - 8/5*q - i*q**2 - c*q**3.
-2*(q + 1)**4/5
Let z(h) be the first derivative of h**5/15 - h**4/2 + 4*h**3/3 - h**2/2 + 4. Let d(y) be the second derivative of z(y). Solve d(t) = 0 for t.
1, 2
Let i(r) be the second derivative of 75*r**5/4 - 75*r**4/4 + 15*r**3/2 - 3*r**2/2 + 9*r. Factor i(a).
3*(5*a - 1)**3
Suppose -6*p + 2*p = -8. Let s(t) be the first derivative of -2 + 0*t + 0*t**3 + 0*t**p + 1/25*t**5 + 1/20*t**4. Solve s(w) = 0.
-1, 0
Let b = 27 + -13. Let x be (-22)/(-5) - b/35. Let -8 + 0*f**2 - 6*f - 2*f**2 + x = 0. What is f?
-2, -1
Let q(y) be the first derivative of -3 - 2/21*y**3 - 8/7*y + 4/7*y**2. Factor q(a).
-2*(a - 2)**2/7
Let q(p) be the first derivative of -p**4 - 4*p**3 - 4*p**2 - 12. Determine j, given that q(j) = 0.
-2, -1, 0
Let t(h) = 10*h**2 - 8*h + 10. Let j(f) be the third derivative of f**5/15 - f**4/8 + 2*f**3/3 - f**2. Let q(r) = 12*j(r) - 5*t(r). Suppose q(z) = 0. What is z?
1
Let i(s) be the third derivative of s**9/90720 - s**8/15120 - s**7/7560 + s**6/540 - s**5/20 + 6*s**2. Let n(v) be the third derivative of i(v). Factor n(c).
2*(c - 2)*(c - 1)*(c + 1)/3
Factor 0*h + 4*h**4 + 3 + 6*h + 2*h - 8*h**3 + 9 - 16*h**2.
4*(h - 3)*(h - 1)*(h + 1)**2
Let b(n) = n + 1. Let m be b(7). Suppose m = 3*h - 7. Determine f, given that 4*f**5 + 6*f**4 + f**3 + 5*f**3 + 2*f**2 - 2*f**h = 0.
-1, 0
Let l = -23 - -33. Suppose -5*z + l = -0. Find n such that 4/5*n**z + 2/5 - 6/5*n + 2/5*n**
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Does 5 divide 3365?
True
Is 2 a factor of 2162?
True
Is 649 a multiple of 45?
False
Is 13 a factor of 571?
False
Is 1332 a multiple of 148?
True
Is 5514 a multiple of 30?
False
Is 832 a multiple of 13?
True
Is 22511 a multiple of 19?
False
Does 38 divide 38266?
True
Is 5 a factor of 13?
False
Does 7 divide 658?
True
Does 12 divide 16596?
True
Is 8370 a multiple of 27?
True
Does 19 divide 811?
False
Is 12 a factor of 12?
True
Does 2 divide 6135?
False
Is 23235 a multiple of 5?
True
Is 94 a factor of 188?
True
Is 45442 a multiple of 29?
False
Is 8 a factor of 1609?
False
Is 33 a factor of 627?
True
Does 50 divide 266?
False
Is 44 a factor of 16739?
False
Is 1832 a multiple of 229?
True
Does 35 divide 4130?
True
Is 26 a factor of 24908?
True
Is 114 a multiple of 6?
True
Does 36 divide 1330?
False
Does 37 divide 19142?
False
Is 936 a multiple of 9?
True
Is 5271 a multiple of 56?
False
Does 23 divide 40391?
False
Is 60 a factor of 389?
False
Is 791 a multiple of 4?
False
Is 28 a factor of 552?
False
Is 2912 a multiple of 32?
True
Does 6 divide 13098?
True
Is 396 a multiple of 66?
True
Is 148 a factor of 25968?
False
Is 21 a factor of 509?
False
Does 78 divide 11466?
True
Is 142 a factor of 29252?
True
Is 10608 a multiple of 12?
True
Does 11 divide 145046?
True
Is 1926 a multiple of 71?
False
Does 44 divide 10296?
True
Is 2300 a multiple of 50?
True
Does 242 divide 39930?
True
Does 7 divide 63?
True
Does 11 divide 25619?
True
Is 16 a factor of 20671?
False
Is 258 even?
True
Is 83658 a multiple of 73?
True
Is 3 a factor of 54?
True
Does 6 divide 14358?
True
Is 3749 a multiple of 21?
False
Is 14 a factor of 1708?
True
Is 18 a factor of 18576?
True
Is 3431 a multiple of 20?
False
Does 27 divide 2433?
False
Is 4912 a multiple of 10?
False
Is 155 a factor of 16204?
False
Is 50 a factor of 7250?
True
Is 6453 a multiple of 27?
True
Does 120 divide 7730?
False
Is 2 a factor of 493?
False
Is 252 a factor of 29250?
False
Is 23 a factor of 591?
False
Is 10041 a multiple of 20?
False
Is 66 a factor of 19799?
False
Is 1396 a multiple of 16?
False
Is 11 a factor of 5027?
True
Does 49 divide 343?
True
Is 77 a factor of 10489?
False
Is 12 a factor of 1327?
False
Is 16 a factor of 12320?
True
Is 48 a multiple of 12?
True
Is 35926 a multiple of 142?
True
Does 12 divide 2431?
False
Is 30 a factor of 1183?
False
Is 49055 a multiple of 7?
False
Is 5273 a multiple of 135?
False
Is 8989 a multiple of 101?
True
Is 9164 a multiple of 38?
False
Does 60 divide 3188?
False
Is 2308 a multiple of 97?
False
Does 52 divide 1300?
True
Does 16 divide 1088?
True
Does 5 divide 160?
True
Is 7 a factor of 119?
True
Does 45 divide 10620?
True
Is 33 a factor of 1551?
True
Is 12233 a multiple of 13?
True
Does 150 divide 19126?
False
Is 684 a multiple of 19?
True
Is 36 a factor of 925?
False
Is 3 a factor of 5386?
False
Does 50 divide 2359?
False
Is 483 a multiple of 15?
False
Is 4 a factor of 3878?
False
Does 26 divide 520?
True
Does 13 divide 9813?
False
Is 26 a factor of 2262?
True
Is 28 a factor of 10648?
False
Is 13 a factor of 129?
False
Is 68 a factor of 31925?
False
Is 2428 a multiple of 4?
True
Is 15 a factor of 8085?
True
Does 23 divide 64492?
True
Is 25 a factor of 3450?
True
Is 1040 a multiple of 40?
True
Is 29 a factor of 2408?
False
Is 352 a multiple of 3?
False
Is 93 a factor of 140?
False
Is 184 a factor of 10672?
True
Is 21918 a multiple of 113?
False
Is 14524 a multiple of 135?
False
Is 12 a factor of 528?
True
Does 42 divide 4914?
True
Is 5029 a multiple of 13?
False
Is 33 a multiple of 2?
False
Is 11 a factor of 366?
False
Is 202 a multiple of 11?
False
Does 4 divide 573?
False
Is 42862 a multiple of 29?
True
Is 17 a factor of 187?
True
Is 12 a factor of 3780?
True
Does 69 divide 141864?
True
Is 14 a factor of 25299?
False
Is 1562 a multiple of 11?
True
Is 859 a multiple of 72?
False
Is 16 a factor of 163744?
True
Is 58 a factor of 16936?
True
Is 9 a factor of 442?
False
Is 12420 a multiple of 14?
False
Is 23 a multiple of 3?
False
Does 96 divide 1584?
False
Does 80 divide 2400?
True
Does 32 divide 2265?
False
Is 30541 a multiple of 13?
False
Is 2247 even?
False
Is 2048 a multiple of 64?
True
Is 8792 a multiple of 14?
True
Is 758 a multiple of 13?
False
Is 14439 a multiple of 27?
False
Does 6 divide 1068?
True
Does 32 divide 36?
False
Is 312 a multiple of 52?
True
Does 10 divide 1820?
True
Is 8 a factor of 1104?
True
Does 4 divide 1125?
False
Is 14050 a multiple of 27?
False
Is 19 a factor of 1176?
False
Does 67 divide 16214?
True
Is 9 a factor of 8218?
False
Does 6 divide 58?
False
Is 1639 a multiple of 11?
True
Does 5 divide 60?
True
Is 24771 a multiple of 359?
True
Does 151 divide 11302?
False
Does 3 divide 4422?
True
Is 11 a factor of 14468?
False
Is 1020 a multiple of 51?
True
Is 66 a factor of 5762?
False
Is 1625 a multiple of 5?
True
Is 1554 a multiple of 13?
False
Does 6 divide 2333?
False
Does 12 divide 1112?
False
Is 261 a factor of 12528?
True
Is 3120 a multiple of 15?
True
Is 1742 a multiple of 13?
True
Is 23 a factor of 10969?
False
Is 6487 a multiple of 13?
True
Does 15 divide 15?
True
Does 61 divide 55754?
True
Does 40 divide 286?
False
Does 12 divide 33672?
True
Is 45 a factor of 6210?
True
Does 39 divide 78?
True
Is 1404 a multiple of 54?
True
Does 23 divide 828?
True
Is 34020 a multiple of 105?
True
Is 315 a multiple of 35?
True
Is 8 a factor of 4736?
True
Is 29 a factor of 5119?
False
Does 2 divide 984?
True
Is 4 a factor of 240?
True
Is 9 a factor of 401?
False
Is 48 a factor of 4093?
False
Is 39 a factor of 517?
False
Is 1232 a multiple of 14?
True
Is 1584 a multiple of 66?
True
Does 71 divide 1727?
False
Does 35 divide 5145?
True
Does 8 divide 8002?
False
Is 3088 a multiple of 16?
True
Is 15 a factor of 3420?
True
Is 24 a factor of 55560?
True
Is 1065 a multiple of 10?
False
Does 43 divide 387?
True
Is 40 a factor of 20053?
False
Does
|
{
"pile_set_name": "DM Mathematics"
}
|
not equal to -0.016?
True
Is 337998/25 <= 13519?
False
Is -1141600 at least as big as -1141600?
True
Is 19061 not equal to 19049?
True
Does -870 = -14808/17?
False
Which is bigger: 327/20 or 15?
327/20
Which is greater: -3.81 or 56?
56
Which is greater: 0 or 2995/2468?
2995/2468
Are -620 and 0.183 equal?
False
Is 1 > 4/5023?
True
Does -5025677 = -5025677?
True
Is -0.20972 != 302?
True
Which is greater: -48090 or -48083?
-48083
Which is greater: 33/5525 or 0?
33/5525
Are -81/82 and -1 equal?
False
Is -2948 <= -20630/7?
True
Is 92022 <= 92019?
False
Are -268056 and -3484740/13 equal?
False
Which is smaller: 82225 or 82208?
82208
Are -6 and 2/5115 non-equal?
True
Which is bigger: 11648 or -33?
11648
Which is greater: -79 or 31206?
31206
Which is smaller: 0 or 1/18436?
0
Is 18702 at least 93504/5?
True
Is -1 at least -21/62416?
False
Which is greater: -137/64 or -3?
-137/64
Which is greater: -2/3079 or -1?
-2/3079
Which is greater: 7/17068 or 1?
1
Is 441 bigger than 523?
False
Which is smaller: -1.5 or -662/17?
-662/17
Which is greater: -2.8227 or 2/9?
2/9
Is 1606 at least as big as 1665?
False
Is -1143562 not equal to -1143560?
True
Are -11/345 and 604 equal?
False
Is 231901 < 231901?
False
Which is greater: 0 or -3/176252?
0
Which is greater: -0.017711 or -2/15?
-0.017711
Is 14279 greater than or equal to 14285?
False
Which is bigger: -434 or -3030/7?
-3030/7
Which is bigger: 28579 or 28582?
28582
Is -18 equal to 53700?
False
Which is greater: 107167 or 107169?
107169
Is -118 less than or equal to 1519?
True
Which is smaller: -1954662 or -1954661?
-1954662
Which is greater: -281134 or -281135?
-281134
Are 0 and 886/17 equal?
False
Is 9729/16 greater than 607?
True
Are 40793 and 14 non-equal?
True
Which is smaller: 88/18657 or 0?
0
Which is bigger: 2/9 or -7.1613?
2/9
Is -44424 <= -44431?
False
Which is bigger: -2674 or -180?
-180
Is 11/3907 >= 0?
True
Are -39/10861 and 1 equal?
False
Are 401632/3 and 133876 equal?
False
Which is greater: -20971 or -20978?
-20971
Which is greater: -6360 or 6.7?
6.7
Which is bigger: -7 or 1898?
1898
Which is smaller: 0 or 0.214289?
0
Is 1 > -2/7746371?
True
Do 26688 and 26688 have the same value?
True
Is 25677 less than 0.4?
False
Is 1/51 not equal to 131/14?
True
Which is smaller: 1.158 or -4?
-4
Which is greater: -36 or -817?
-36
Is -411478 greater than -411478?
False
Is -1 at most 58/4913?
True
Which is smaller: -114174 or -114138?
-114174
Is -1 at most -1/23020270?
True
Are 42145 and 42150 nonequal?
True
Which is bigger: 4901/70 or 70?
4901/70
Which is greater: -855 or -833?
-833
Which is bigger: -77174 or -77185?
-77174
Is 88160 at most -0.3?
False
Which is bigger: -935688 or -935691?
-935688
Is 75.6 greater than or equal to 8/3?
True
Is -29780 at least as big as -29806?
True
Is 87338 less than or equal to 87343?
True
Are -29048 and -29049 nonequal?
True
Do -57 and -850 have the same value?
False
Which is smaller: -94321 or -1?
-94321
Is -39761 bigger than -39773?
True
Is -1/3 less than 8000?
True
Which is smaller: -264508 or 2?
-264508
Is 840 smaller than -7506?
False
Which is smaller: -2/317 or -2/19515?
-2/317
Which is smaller: -4 or -2278?
-2278
Which is smaller: -10/20757 or 1?
-10/20757
Is -12/31 at least -3030/11?
True
Is -1 <= 2.43038?
True
Which is bigger: -136 or -3970/29?
-136
Are 1/34 and -1/39733 nonequal?
True
Which is smaller: 7/2 or 108181?
7/2
Which is smaller: -177 or -16?
-177
Which is bigger: -17 or 433?
433
Is 91562/69 > 1327?
False
Is 32001 bigger than 32002?
False
Is -31247 less than or equal to -31218?
True
Is -4521 smaller than -4558?
False
Which is smaller: 0 or -2/697331?
-2/697331
Which is smaller: 40/7 or 2.614?
2.614
Which is smaller: 300/6413 or 1?
300/6413
Is -9 at least -1/13259?
False
Which is smaller: -1 or -3/255583?
-1
Is 124987 greater than 125003?
False
Which is bigger: 1 or 903960?
903960
Which is bigger: 1002470 or 1002471?
1002471
Is -53519 at least -53487?
False
Is -3 greater than -68235?
True
Is 399/191 <= 1?
False
Which is bigger: 1015811 or 1015808?
1015811
Which is smaller: 0 or -70/28149?
-70/28149
Which is greater: -1 or 162/1493?
162/1493
Which is smaller: -12684/13 or -975?
-12684/13
Is -21253 at most -21345?
False
Is -5090 bigger than -4947?
False
Which is greater: -389419/3 or -129806?
-129806
Which is smaller: -0.02 or 9091?
-0.02
Do 156/11 and -56/37 have the same value?
False
Is -23013 greater than -23013?
False
Which is smaller: -67097 or 1/4?
-67097
Is -2406 <= -2853?
False
Which is smaller: 2/7 or 2.59928?
2/7
Is 8028 less than or equal to 8026?
False
Is 2/106961 at least as big as 1?
False
Is 137147 >= 137146?
True
Which is smaller: 0.4 or -291/28?
-291/28
Do -49065 and -49069 have the same value?
False
Is 1 at least as big as 148/1661?
True
Is -285/14 != -59?
True
Is -8 at least -2796/341?
True
Which is smaller: 147/31 or 5?
147/31
Which is greater: -1074 or -982/5?
-982/5
Is 682 at least as big as 20467/30?
False
Which is smaller: 60075 or 60074?
60074
Is -2 less than 4/533?
True
Does -157356 = -157352?
False
Is 570293 at most 570293?
True
Is -2
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify ((o**(-2/7))**32)**(-20)/(o**(-6)/o**(-2/11)*(o**1)**41) assuming o is positive.
o**(11371/77)
Simplify ((g**(3/22))**(-1/3)/(g**(-16)*g)**(-48))**(-7) assuming g is positive.
g**(110887/22)
Simplify ((g**41/(g/g**(-8/7)))**(-12))**34 assuming g is positive.
g**(-110976/7)
Simplify ((l**(3/2)/l*l*l)/(l/l**(3/7)))**(-2/9)*(l**(-1))**41*l*(l**(-3)*l)/l*l**(3/2) assuming l is positive.
l**(-587/14)
Simplify ((p**(-16)/p)/p*p/(p*((p**24*p)/p)/p)*p*(p**(-2/9))**(-1/20))**(-12) assuming p is positive.
p**(7198/15)
Simplify (b/(b/(b**(-23)*b*b*b))*b**10*(b/b**(4/17)*b)/(b*b**(22/3)/b))**(-1/46) assuming b is positive.
b**(397/1173)
Simplify ((n**(-2))**(-5/11))**(-17)/(((n*n**0/n)/n)**(-27)*(n/(n*n**(2/5)))**(3/29)) assuming n is positive.
n**(-67649/1595)
Simplify ((r*r/(r*r**(-3/8)))/r**1)**(1/27)/((r**0)**(-37/4)*(((r*r*(r/r**(-2/7)*r)/r*r*r)/r)/r)**(-12/5)) assuming r is positive.
r**(19907/2520)
Simplify ((i**12*i)**(-10/3)*i**(-1/11)/(i/i**(-27)))**10 assuming i is positive.
i**(-23570/33)
Simplify (((m**(-1/3)/m)**(-2)/(m*(((m*m**(1/4))/m)/m)/m*m*m)**(-2/17))**(9/13))**(-32) assuming m is positive.
m**(-13776/221)
Simplify ((s*s**(-5))/s**(3/4))/((s/(s*s/(s*s/s**6)))/(s*s**(1/3)))*(s**(-3)/s**(-2))/((s*s**(2/15)*s)/(s/(s*s**(6/7)*s)*s)) assuming s is positive.
s**(-337/140)
Simplify i*(i/i**(-1/10))/i*i**(1/2)*i**(3/5)*((i/(i*i*i/(i/(i/i**(-3/4))*i)))/i*i)/i*(i*i/i**(-4/9)*i/(i*(i/(i*i**(-9)))/i))**(6/17) assuming i is positive.
i**(-2561/1020)
Simplify (o**(2/7)*o*o**(-8)*o)**(-1)/(o*o**(-4)*o*(o**(-2/7)/o)/o*o/o**(-1/3)*o*o*o**(-1/5)) assuming o is positive.
o**(103/15)
Simplify (((p**(3/2)*p)/p**(1/2))/(p**(-3/2)/(p**(-1/4)*p*p)))**(1/16) assuming p is positive.
p**(21/64)
Simplify (((r/(((r/(r*r**(-1/3)*r*r))/r)/r*r))/r*r)**(25/3)*(r**(-2/29))**(3/14))**(8/3) assuming r is positive.
r**(446384/5481)
Simplify ((b/(b*b*b*b/b**(3/11)*b))**(2/11)/((b*(b/b**30)/b*b)/(b*b*b*b**2)))**(2/15) assuming b is positive.
b**(7822/1815)
Simplify ((h*h/(h**(-2)*h)*h)**36)**(-6)*((h*h/(h*h**(-7)*h*h))/h**4)**(-14) assuming h is positive.
h**(-892)
Simplify ((h**(-18)*h*h*h**(-6/11)*h)/(h/h**(2/5))**(-3/8))**(-4/3) assuming h is positive.
h**(2247/110)
Simplify (y**(-1/6)/(y**(-2/25)/y))/(y**(4/5)*(y*y**(6/7))/y) assuming y is positive.
y**(-781/1050)
Simplify ((f*f**3)/f**16*f**3/(f/f**(-11)))**(-18) assuming f is positive.
f**378
Simplify ((h**(-1/5)*h*h**(2/13))/(h*h**(2/5))**(6/19))/((h**(-2/3)/h)/(h*h**2))**(-24) assuming h is positive.
h**(-137688/1235)
Simplify ((k/k**(-1/4))**(-24)*(k*k**2)**(-5/4))**(-18) assuming k is positive.
k**(1215/2)
Simplify (u**(-2/9)*u**(1/12)*u**(-6)*(u*u/((u*u/(((u*(u**9/u)/u)/u)/u)*u)/u*u))/u)**(-29) assuming u is positive.
u**(2233/36)
Simplify (l*l*(l/(l/l**(1/2)))/l)/(l*l**32)*(l/(l/l**(16/5)))/l*l/((l**(-28)*l)/l*l*l) assuming l is positive.
l**(-23/10)
Simplify (((l**(2/13)/l)/(l*l**(-2/7)))/(l**(-1/3)/l*l*l**(-7)))/((l/(l*l**(1/2))*l*l)**(-1/15)*(l**(2/3)/l)**(-3/2)) assuming l is positive.
l**(7334/1365)
Simplify (k**(2/7)/((k*k*k*k*k*k**(-4/7))/k))/((k**(-5/6)*k)/k*k*k*k*k/k**(-2))*(k*k**(-1))**41*(k**(-1/4))**(3/2) assuming k is positive.
k**(-1459/168)
Simplify ((y**(-1/15)/y*(y**(1/11)*y*y)/y)/((y*y**(-1/6))/y**(1/6)))**26 assuming y is positive.
y**(-2756/165)
Simplify ((d**4*d**(2/15))/(d**(2/9)*d**(-1)))/((d/d**(4/3))/d*d*d**(-4/7))**(-9/7) assuming d is positive.
d**(8264/2205)
Simplify b**(5/8)*((b*b**(-2/43))/b)/b*(b**(-22)/b*b)/b*(b/b**(-1/4))/b*b assuming b is positive.
b**(-7627/344)
Simplify ((o**(-1))**34)**(2/15)*(o*o**5)/(o/(o*o**(-6)*o))*o**(-2/3)*o**0 assuming o is positive.
o**(-21/5)
Simplify (((o/(o*(o/o**(1/5)*o)/o))/o*o**(-4))/((o**(-19)/o)/(o/(o**(2/11)*o*o))))**10 assuming o is positive.
o**(1432/11)
Simplify (h**(-1/8)*h*h*h*h**18*(((h*h*h**26*h)/h*h*h)/h)/h*h**(10/3))**11 assuming h is positive.
h**(13783/24)
Simplify (r**(-2/5)/r)/(r*r**(2/11))*(r**(-1/4)*r*r)**(-2/33)*(r*r**2*r/((r*r**1)/r)*r)/((r*r**(1/4))/r*r**(-2/11)/r) assuming r is positive.
r**(1481/660)
Simplify ((w/w**(-2/11)*w)/w**9)**4*((w/w**(-2/5))/(((w/(w**(-4)/w))/w)/w))**28 assuming w is positive.
w**(-5504/55)
Simplify (c**(-1)/c**(2/3))/(c**(-2/5)*c**(2/5))*(c*c**9*c*c*c)/((c**4*c*c)/c)*(c/c**0)**(7/10) assuming c is positive.
c**(211/30)
Simplify ((b*b
|
{
"pile_set_name": "DM Mathematics"
}
|
2*t + 0 = -12, 56 = x*p + t. Is (-13)/(4/p*-1) prime?
False
Suppose 2*v - 6*v = -4*k - 93436, 2*v = -6*k + 46702. Is v a composite number?
False
Let c be ((-626)/(-4))/((-7)/(-14)). Let l = 564 - c. Is l prime?
True
Let i(r) = 1808*r**2 + 34*r + 7. Is i(3) a composite number?
False
Suppose -15*b + 19*b = 4*j + 5500, -3*b + 4157 = 5*j. Is b a composite number?
True
Suppose 2*a + 103 = -33. Let f = a + 38. Is (-4)/(-6) - 7150/f a composite number?
False
Let l(f) = -457*f + 31. Is l(-3) composite?
True
Let s be 3*(0 + (-654)/9). Let i = 50 - s. Suppose 338 - 137 = 3*c - 2*r, -4*c - 2*r + i = 0. Is c a prime number?
True
Let w be (0 + -1)/(3/(-12)). Suppose w*p + 330 = -354. Let h = -52 - p. Is h composite?
True
Let w = 99 + 119. Let o = w + 113. Is o a prime number?
True
Suppose -4*i + 21 = 4*n - 3, 0 = 3*n - 3. Suppose -c + 5*h + 674 = 0, 0 = i*c + 3*h - h - 3370. Is c/4*(-6 + 8) a prime number?
True
Let k = 26948 - 14379. Is k a composite number?
False
Let t(j) = 3*j**3 + 15*j**2 - 11*j. Let d(g) = g**3 + 5*g**2 - 4*g. Let q(p) = 11*d(p) - 4*t(p). Let f be q(-5). Is 497 + f/(-2) + 2 a prime number?
True
Suppose 6*p - 2274 - 12210 = 0. Suppose -2*v + p + 104 = 0. Is v composite?
False
Suppose -6458 = -4*w + 5282. Is w a composite number?
True
Let l be 0/(-4) - 105/3. Is (-5)/l + (-888)/(-7) prime?
True
Suppose 5*j - 5 + 0 = 0, j - 192 = c. Let p be c/3 + 2/(-6). Let w = p + 101. Is w prime?
True
Is 15*5/(1 - 16) - -2036 a prime number?
False
Let m = 1455 + 4415. Suppose -y - i = -3, -y + 19 = 2*y - 2*i. Suppose 2733 = 3*g + 3*d, -d = y*g - m + 1331. Is g a prime number?
True
Suppose -4 = -2*z + 6. Suppose -z*p + 5*t + 1030 = 0, -2*t = -2*p + t + 407. Is p a composite number?
False
Let f = -54 - -124. Suppose -3*y + 215 + f = 0. Suppose -q + y = 4*k, -4*q + 3*k + 301 = -41. Is q a composite number?
True
Suppose -2*l + 3*z - 9 - 11 = 0, -5*z = -2*l - 20. Let t be 14/4 - (-15)/l. Suppose -t*c = -1561 + 251. Is c a composite number?
True
Let o = 121 + -25. Let s = -53 + o. Is s a prime number?
True
Let y = 2 - 11. Let u = y + 15. Is 2*9/u*227 composite?
True
Let z(y) = 2982*y**2 - 8*y + 9. Is z(1) prime?
False
Let o(m) = 221*m + 110. Is o(7) a prime number?
True
Let w(q) = -4*q - 9. Let t be w(-8). Let o = -7 + -3. Let g = o + t. Is g a prime number?
True
Let s(b) = b**3 + 5*b**2 - b. Let j be s(-5). Suppose 323 = 2*u - m, 20 = j*u + 3*m - 782. Is u a composite number?
True
Let u(k) = -k**3 - 10*k**2 + k + 12. Let b be u(-10). Is 3/b + (-3070)/(-4) a composite number?
False
Suppose -6*l - 20 - 358 = 0. Let i(b) = 208*b**2 + 1. Let m be i(1). Let j = l + m. Is j a composite number?
True
Suppose -4*m = -2*q + 2514, -2*q + q + 1254 = m. Suppose 3*c - 1205 - q = 0. Suppose 0 = -3*h - h + c. Is h a composite number?
True
Let n(u) = u + 3. Let d(c) = -c - 2. Let p(q) = 6*d(q) + 5*n(q). Let f be p(-6). Let h = f + 148. Is h a composite number?
False
Let g be -1*(-1 - -1 - (-8)/4). Is (-5825)/(-9) + g/9 prime?
True
Suppose 0 = -4*j + 75 + 21. Suppose 5*y - 2*u + 3 = 0, 3*y + 5*u = -1 + j. Let s(n) = 212*n**2 - 2*n + 1. Is s(y) prime?
True
Suppose -3*g + s - 265 = -7*g, -3*s = -2*g + 115. Suppose -2*a - 3*a = -g. Is a composite?
False
Suppose 3*h + 25*h - 187012 = 0. Is h a composite number?
False
Suppose 3*q - 3*n + 892 = 5*q, -1351 = -3*q + 2*n. Is q a composite number?
False
Let w(l) = 7*l - 10 + 7*l**2 - 2*l + 5*l. Suppose -14*f + 120 = 22. Is w(f) a composite number?
True
Suppose 1690 = 5*u - 1870. Let w = 1794 - u. Is w prime?
False
Suppose t = 2*t - 20. Suppose -3*o - t = -113. Is o a prime number?
True
Let q be (5 - 9)*1/(-1). Suppose -20 = q*b - 5*s, 3*b = -0*b + 2*s - 8. Suppose b*a = 5*a - 190. Is a a composite number?
True
Let l(g) = -15*g + 23. Let k be 5 - 4 - 1 - -5. Suppose k*c = -65 - 5. Is l(c) composite?
False
Suppose 3*s - 4581 = 4416. Is s composite?
False
Let o be 11/((-55)/2) + 2/5. Suppose -3*t - 2*t - 2*m + 655 = o, -5*t + 4*m = -655. Is t composite?
False
Suppose -7*l + 4*u + 128 = -3*l, 3*u = -12. Let w be (-4)/l - (-1149)/7. Let b = -67 + w. Is b a composite number?
False
Let f(g) = g**3 + 7*g**2 + g + 7. Suppose 3*a - 8 = -a. Suppose -2*n - 4*m + 4 = 0, 8 = -a*n + 3*m - 16. Is f(n) a prime number?
True
Suppose 4425 = 10*w - 15*w. Let t = w + 1279. Is t a composite number?
True
Let w(h) = 7*h**2 + 53*h - 67. Is w(-28) a prime number?
False
Let l(c) = -2104*c - 3. Is l(-1) a composite number?
True
Suppose 3*q + q - 184 = 0. Suppose 2*y + 16 = -q. Is 1*y*5/(-5) composite?
False
Is ((-4 - -2) + -4829)/(1/(-1)) a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
, x = 2*u + 182. Is u less than or equal to s?
False
Suppose -672 = -30*f + 1038. Suppose 48*m + 9 = f*m. Which is greater: m or 15/7?
15/7
Let i = 71 - 32. Let u = -26 - -75. Let c = u - i. Which is smaller: c or 12?
c
Suppose 6*x = 19 + 17. Suppose -x + 6 = -3*f. Which is smaller: f or 1/8?
f
Suppose -3*j - 21 = 0, 17*j - 14*j + 10 = -11*q. Are q and 8/7485 non-equal?
True
Let g be (9 - -6) + 35/5. Suppose -5*c + 17 = -4*t, 4*c = 20*t - g*t - 2. Is -42 at most as big as t?
True
Let x = -0.28601 + 0.06601. Let y = -428 + 404.78. Let o = y - x. Which is smaller: o or -0.1?
o
Let n = 2233.881 + 0.119. Which is smaller: n or 1?
1
Let q be 51/(7/((-840)/18)). Let g be ((-8)/(-18))/2 - q/9. Which is greater: g or 35?
g
Let v be 5840/30*12/(-144). Is v less than or equal to -15?
True
Suppose 0 = -3099*m + 3102*m - 6294. Suppose 0 = 18*a - m + 5122. Is -169 greater than a?
False
Suppose -13 = 8*g - 45. Let j be 7*-4*g/8. Is j > -14?
False
Let h = -2961 - -20791/7. Let b be 14/(0 - 8/36). Let s be (-498)/b + 2/21. Which is bigger: h or s?
h
Let v(j) = -j**3 - 5*j**2 + 5*j - 6. Let r be v(-6). Let a = 31/423 - 208271/2115. Let y = 98 + a. Which is smaller: r or y?
y
Let j = 0.0679 + -0.0279. Let b = -63 + 147. Let n be (-8)/b*3/2. Is n not equal to j?
True
Let m = -1.8549 + -2.1451. Which is bigger: 1/814 or m?
1/814
Let l(b) = -112 + 2943*b + 3025*b - 6038*b. Let a be l(-3). Is 101 greater than a?
True
Let u = -184 - -169. Let q = 14 + u. Let p = -1445/208 - -89/16. Do p and q have the same value?
False
Let z = 51.14439 - 0.14439. Which is smaller: -2/11 or z?
-2/11
Let h be (17/((-136)/(-16)))/((-6)/(-3)) - 317. Which is smaller: h or -318?
-318
Let b = -254 - -94. Let j = -162 - b. Are 0 and j unequal?
True
Let w be 257 + -6 - 3 - -7. Let k = -118 + w. Which is smaller: k or 135?
135
Suppose 4*p = -3*n, -22*n + 3*p = -18*n. Let f be (-28)/(-14)*3/(-34). Let r = f - 8/51. Which is smaller: r or n?
r
Let i = 278.4 - 268.4. Is i > -85?
True
Let h be -12*(13 - 5247/402). Is h smaller than 2?
True
Suppose -45*t = -42*t + 219. Let r = t - -75. Suppose 0 = r*g - 2 + 4. Which is smaller: g or 3/38?
g
Let w = 4285 - 2776681/648. Which is smaller: -0.3 or w?
-0.3
Let r(z) = z**3 + 29*z**2 + 59*z + 5. Let q be r(-27). Let x = q - -127. Suppose -y + 4*y = -6. Is x less than y?
True
Let j be 2/16 - 918/(-1360) - (-394016)/(-492870). Do 0 and j have the same value?
False
Let r(y) = -y**2 - 3*y + 5. Let b(i) = i**3 - 5*i**2 - 6*i - 4. Let o be b(6). Let u be r(o). Suppose 0 = -n + u + 4. Is n bigger than -0.05?
True
Let j = -125.3 + 131. Let r = 6 - j. Let b = 162.81 + -162.8. Which is smaller: b or r?
b
Let b = 0.2676 - 0.6876. Is b at least as big as 30?
False
Let y be (-9 - -12)/(((-15)/(-1246))/(-5)). Let p = y - -3688/3. Let k = p + 17. Is -9/4 <= k?
True
Let g = -1/5699 + -233532/723773. Is g at most as big as -1?
False
Suppose -2*x - 2*d - 465 = -427, -x - 11 = -3*d. Let i(v) = 2*v. Let j be i(-3). Which is smaller: x or j?
x
Suppose -n - 44*j + 25 = -49*j, 2*n - 3*j - 15 = 0. Is n greater than or equal to -2/8977?
True
Suppose -3*c + 165 = -2*h - 122, -457 = -5*c - 2*h. Let r = -375 + 284. Let w = c + r. Is 2 > w?
False
Let v = 2 + -1. Let n be 3 + 6/(4 + -10) - 62812. Let p be 12 - (n/(-475))/11. Is v > p?
True
Suppose -12 = -4*k - 4*d, -7*d = 4*k - 9*d - 24. Let x(g) = 15*g - 75. Let m be x(k). Is m smaller than 2/37?
True
Let z(j) = 49*j + 526. Let n be z(-11). Let m be (0 + -1)*(12 - 1). Is n >= m?
False
Let q(d) = 2*d**2 + 9*d + 5. Let o be q(-4). Suppose -3*v + 2 = -o. Let m be v/3 - 56/42. Is -1/94 < m?
False
Let w be 2/(6/1)*-3. Let p = -336 + 331.1. Let n = p - -27.9. Is n greater than or equal to w?
True
Let a = -154 + 152.6. Let t = 0.0293 - 7.0293. Which is smaller: a or t?
t
Let b = 2614.001 + -2612. Let v = b + -2. Let h = -666147 - -666146. Is v bigger than h?
True
Let t be 3/(-2)*(-6)/1. Suppose 4*o + 5702 = -5*q + 2*q, 6 = 3*q. Let n = o - -1422. Are n and t nonequal?
True
Let r = -4691 + 614526/131. Which is greater: -2 or r?
r
Let j be 5/((-2)/11 - (-624)/2464). Let v be (15/(-6))/(-1) + (-217)/j. Which is greater: 93 or v?
93
Let i be ((-1)/2)/(9/648*-1). Suppose 7*s + i = 13*s. Which is bigger: s or 5?
s
Suppose 4*v - 22 = 3*b, 5*b = 5*v - 2*v - 22. Suppose v*a = 34 - 18. Suppose -4*o + 4 = -l, 0*l + 5*l + a*o = 4. Does l = 4/35?
False
Let d = 222 + -296. Let z be (-25)/(50/(-12)) + (-87)/15. Which is smaller: z or d?
d
Let a = 22.34 + -20.2. Let g = 2.259 - a. Let q = 0.079 - g. Is -1 > q?
False
Let h = 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
*x + 6*r - 16 = 2*r. Let z be (0 + 1 + -2)*x. Solve o + 2*b - 2 = w, z = 5*b - 15 for o.
-3
Let d(m) = -m**3 - m**2 - 5. Let r be d(-3). Solve 5*v = 2*s + 21, 5*s + 14 = 4*v - r for v.
3
Suppose -3*q = 5*m - 34, 4*q - 5*m = q + 14. Solve -3*i + 0*i - t = 2, -2*i + q = -4*t for i.
0
Let k(i) be the first derivative of i**4/4 - i**3 - i**2 - 4*i - 2. Let v be k(4). Suppose v*u = 6*u. Solve -3*c + 2*c = 3*b - 16, u = -3*b + 12 for c.
4
Suppose 3*v - 3 = 3. Solve -v*s - 9 = -q, -5*q - 7 = -3*q + s for q.
-1
Suppose x - 25 = -4*x. Suppose 0*k + 20 = x*k. Solve -f + 15 = -3*o + 8*o, -k*f = o - 22 for f.
5
Let g be (6/(-9))/(4/(-18)). Solve 5*v - 15 = -5*f, -g*f = f + 3*v - 7 for f.
-2
Let r be 17 - 0/(12/(-3)). Let f = 17 - -7. Solve -2*p - h - 7 + r = 0, f = 4*p + 4*h for p.
4
Let f(w) = -3*w**3 - w**2 - 2*w - 3. Let c be f(-2). Suppose 5*v + 1 - c = 0. Suppose v*g = g + 12. Solve 3*t = 5 + 10, -t = g*u - 17 for u.
3
Let a = -18 - -34. Solve 0 = -5*f + 2*i - 4 + 12, f - a = 4*i for f.
0
Let f(g) = g**2 + 10*g - 11. Let w be f(-11). Suppose v + v - 24 = -2*q, -4*q + 3*v + 76 = w. Solve -1 = p, -o - 4*p + q = 3*o for o.
5
Let l be (-3)/7 - 202/(-14). Solve 3*p + a - 5*a + l = 0, p - 4 = -3*a for p.
-2
Let z(n) = -n**3 + 7*n**2 + 13*n - 38. Let f be z(8). Let h(x) = -x**3 - 2*x**2 - x - 4. Let t be h(-3). Solve f*p = -4*y, -3*y + t = -3*p - y for p.
-2
Suppose 2*h = 3*k + 102, -4*h + 7*h + k = 153. Suppose -4*s = -h - 49. Let a be 6 + -3 + 0 + 0. Solve 0 = a*o - 3*b - 21, 5*o = o + 3*b + s for o.
4
Let t(i) = -i - 2. Let s be t(-2). Let u be (16/10)/(2/10). Suppose s = 3*f - 1 - u. Solve 3*p - 17 = 2*l, -f*p - 15 = 5*l - 4 for l.
-4
Let v = -2 - -2. Suppose -s - 5*w = 4*s + 10, 3*s - 3*w - 6 = v. Suppose j = -s*j + 5. Solve -2*m = m - 2*f + 9, 4*m = -3*f + j for m.
-1
Let l be 40/30 - (-4)/6. Let q be (12 + 0)*l/4. Solve q = -2*f, 0*n - 2*f = -2*n for n.
-3
Let c be 2/8 - (-105)/12. Let g be (-42)/54 + (-2)/c. Let f = 3 + g. Solve -5*b + 23 = 2*x, 2*b + 10 = -f*x + 6*x for b.
3
Suppose k = 2*k - 26. Suppose 4*f - k = 2*f. Solve 3*l - 3*t - 11 = f, -5*t = 2*l + 12 for l.
4
Let p be -1*(-14 + -1) - -4. Solve -5*v = -b - 2*b + p, 3*b - 4*v = 14 for b.
-2
Let c(u) = -u + 1. Let k be c(-2). Solve -w + 3*f + 5 = -k*w, 2*f = -3*w - 10 for w.
-4
Suppose -11*r = -8*r - 9. Solve -5*o - 2*w + 7 = 0, 4*w + 4 = -r*o - 3 for o.
3
Let w = -2 + 5. Suppose 21 = 5*h + 4*t - 2*t, 0 = 2*h + 5*t. Suppose 11 = h*z + 1. Solve 3*g - z*x = -2*g - 6, -3*g + x = w for g.
0
Let c = -42 + 44. Let a(d) = -3*d**2 + d + 1. Let w be a(-1). Let t = w + 5. Solve c*v - 5*v + 17 = 2*m, -t*v - 2 = -2*m for m.
4
Suppose 0 = 5*w - 0*r + 4*r, -4*w - 4*r = 0. Solve 5*f + 0*f - 7 = -m, -4*m + 4*f + 4 = w for m.
2
Let y = 22 - 13. Let u = 13 - y. Suppose 5*p + 5*d - 45 = 0, 7 = 3*p + 4*d - 5*d. Solve 0 = -u*q - 20, t + q + 25 = -p*q for t.
0
Let a(l) = -l**3 + 3*l**2 + l + 4. Let h be a(0). Solve -o + 4*z + 18 = -z, -h*z = 4*o for o.
3
Let w = 11 + -13. Let r be -8*(21/12 + w). Solve -3*c - 4*t = 25, r*t - 4 = 2*c - 6 for c.
-3
Let o be (16/(-6))/((-4)/6). Suppose l = -0 + o. Solve 0 = l*v - a + 14, 5*v + 30 = -4*a - a for v.
-4
Let p be 6/(-4) + 18/4. Suppose -2*a - 2*i + 12 = 0, i + p*i = 4. Solve 15 = a*z, 2*z = 3*l - z + 21 for l.
-4
Suppose -3*f + 9 + 0 = 0. Suppose -u = -f - 1. Solve -2*d + 10 = 2*q, -q - 4*d = u*q - 23 for q.
3
Suppose 15*a - 5*a = 40. Solve -2*q + 11 = -5*u, 3 = -5*u + a*q - 4 for u.
-3
Suppose 35 = p + 29. Solve -o - p = 2*o, 3*o + 7 = -d for d.
-1
Suppose -2*x = 3*s - x + 1, -s - 5*x = -9. Let l be (-2)/6*12/s. Solve 0 = -2*j + 2*w - 2, 2*j + 9*w = l*w - 16 for j.
-3
Suppose 4*f = 2*f + 36. Let g = f + -15. Solve -g*h + 3*a = 5*a - 16, 5*h - 3*a = 14 for h.
4
Suppose 0 = f + f - 4, -4*y + 100 = 4*f. Solve j - 5*v + 1 = -25, -2*j - 5*v = -y for j.
-1
Suppose 0 = -15*p + 19*p - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 452?
165
What is the remainder when 4437 is divided by 15?
12
What is the remainder when 2551 is divided by 77?
10
What is the remainder when 87 is divided by 7?
3
What is the remainder when 42 is divided by 36?
6
Calculate the remainder when 1510 is divided by 108.
106
What is the remainder when 182 is divided by 42?
14
What is the remainder when 141 is divided by 12?
9
Calculate the remainder when 921 is divided by 28.
25
What is the remainder when 34 is divided by 29?
5
What is the remainder when 528 is divided by 59?
56
What is the remainder when 2909 is divided by 25?
9
What is the remainder when 40 is divided by 11?
7
Calculate the remainder when 1502 is divided by 21.
11
What is the remainder when 207 is divided by 16?
15
What is the remainder when 445 is divided by 34?
3
Calculate the remainder when 951 is divided by 246.
213
What is the remainder when 8538 is divided by 21?
12
Calculate the remainder when 2052 is divided by 71.
64
Calculate the remainder when 446 is divided by 16.
14
What is the remainder when 151 is divided by 30?
1
What is the remainder when 521 is divided by 263?
258
What is the remainder when 944 is divided by 27?
26
Calculate the remainder when 157 is divided by 48.
13
What is the remainder when 42 is divided by 22?
20
What is the remainder when 38 is divided by 27?
11
Calculate the remainder when 5637 is divided by 9.
3
Calculate the remainder when 347 is divided by 59.
52
Calculate the remainder when 1911 is divided by 631.
18
Calculate the remainder when 423 is divided by 59.
10
What is the remainder when 182 is divided by 182?
0
Calculate the remainder when 88 is divided by 58.
30
What is the remainder when 34 is divided by 21?
13
Calculate the remainder when 20 is divided by 3.
2
What is the remainder when 157 is divided by 118?
39
Calculate the remainder when 150 is divided by 116.
34
Calculate the remainder when 90 is divided by 56.
34
Calculate the remainder when 315 is divided by 64.
59
What is the remainder when 890 is divided by 33?
32
What is the remainder when 195 is divided by 88?
19
Calculate the remainder when 773 is divided by 97.
94
Calculate the remainder when 3637 is divided by 158.
3
Calculate the remainder when 119 is divided by 15.
14
What is the remainder when 769 is divided by 110?
109
Calculate the remainder when 406 is divided by 34.
32
Calculate the remainder when 28 is divided by 7.
0
What is the remainder when 536 is divided by 36?
32
What is the remainder when 27 is divided by 27?
0
Calculate the remainder when 167 is divided by 45.
32
What is the remainder when 2606 is divided by 1298?
10
Calculate the remainder when 631 is divided by 40.
31
Calculate the remainder when 1260 is divided by 253.
248
Calculate the remainder when 885 is divided by 24.
21
Calculate the remainder when 40 is divided by 29.
11
Calculate the remainder when 283 is divided by 96.
91
Calculate the remainder when 599 is divided by 211.
177
What is the remainder when 1357 is divided by 357?
286
What is the remainder when 40 is divided by 16?
8
What is the remainder when 186 is divided by 32?
26
What is the remainder when 1858 is divided by 31?
29
Calculate the remainder when 90 is divided by 42.
6
Calculate the remainder when 15 is divided by 4.
3
What is the remainder when 131 is divided by 70?
61
Calculate the remainder when 464 is divided by 52.
48
Calculate the remainder when 261 is divided by 84.
9
Calculate the remainder when 309 is divided by 13.
10
Calculate the remainder when 79 is divided by 17.
11
What is the remainder when 2066 is divided by 115?
111
Calculate the remainder when 9670 is divided by 78.
76
Calculate the remainder when 53 is divided by 8.
5
Calculate the remainder when 79 is divided by 20.
19
What is the remainder when 629 is divided by 9?
8
Calculate the remainder when 1691 is divided by 23.
12
Calculate the remainder when 44 is divided by 18.
8
Calculate the remainder when 3928 is divided by 9.
4
What is the remainder when 489 is divided by 12?
9
Calculate the remainder when 5912 is divided by 91.
88
Calculate the remainder when 317 is divided by 161.
156
Calculate the remainder when 156 is divided by 15.
6
What is the remainder when 437 is divided by 144?
5
Calculate the remainder when 1299 is divided by 8.
3
Calculate the remainder when 1112 is divided by 112.
104
What is the remainder when 29 is divided by 12?
5
Calculate the remainder when 33849 is divided by 403.
400
Calculate the remainder when 43 is divided by 5.
3
What is the remainder when 3030 is divided by 41?
37
What is the remainder when 170 is divided by 101?
69
Calculate the remainder when 458 is divided by 454.
4
What is the remainder when 26710 is divided by 14?
12
Calculate the remainder when 32 is divided by 10.
2
Calculate the remainder when 1916 is divided by 15.
11
What is the remainder when 3349 is divided by 50?
49
Calculate the remainder when 317 is divided by 16.
13
What is the remainder when 80 is divided by 15?
5
Calculate the remainder when 983 is divided by 52.
47
What is the remainder when 7069 is divided by 17?
14
Calculate the remainder when 470 is divided by 128.
86
What is the remainder when 18831 is divided by 17?
12
What is the remainder when 708 is divided by 10?
8
Calculate the remainder when 557 is divided by 31.
30
What is the remainder when 63115 is divided by 124?
123
What is the remainder when 33 is divided by 17?
16
Calculate the remainder when 322 is divided by 17.
16
What is the remainder when 139 is divided by 25?
14
What is the remainder when 4170 is divided by 76?
66
What is the remainder when 1262 is divided by 416?
14
What is the remainder when 189 is divided by 153?
36
Calculate the remainder when 171 is divided by 6.
3
What is the remainder when 4755 is divided by 183?
180
What is the remainder when 96 is divided by 20?
16
Calculate the remainder when 4321 is divided by 23.
20
Calculate the remainder when 334 is divided by 17.
11
Calculate the remainder when 267 is divided by 69.
60
What is the remainder when 195 is divided by 94?
7
What is the remainder when 255 is divided by 66?
57
Calculate the remainder when 825 is divided by 20.
5
What is the remainder when 161 is divided by 86?
75
Calculate the remainder when 46 is divided by 29.
17
What is the remainder when 6759 is divided by 26?
25
Calculate the remainder when 78 is divided by 20.
18
What is the remainder when 159 is divided by 70?
19
What is the remainder when 277 is divided by 32?
21
What is the remainder when 8098 is divided by 162?
160
Calculate the remainder when 133 is divided by 12.
1
What is the remainder when 80 is divided by 46?
34
What is the remainder when 994 is divided by 363?
268
What is the remainder when 159 is divided by 18?
15
Calculate the remainder when 201 is divided by 69.
63
What is the remainder when 437 is divided by 48?
5
What is the remainder when 59 is divided by 9?
5
Calculate the remainder when 1075 is divided by 11.
8
Calculate the remainder when 146 is divided by 30.
26
Calculate the remainder when 131 is divided by 36.
23
What is the remainder when 402 is divided by 31?
30
Calculate the remainder when 220 is divided by 13.
12
Calculate the remainder when 75161 is divided by 23.
20
What is the remainder when 2317 is divided by 58?
55
What is the remainder when 76 is divided by 17?
8
What is the remainder when 24 is divided by 7?
3
What is the remainder when 63 is divided by 15?
3
Calculate the remainder when 368 is divided by 30.
8
What is the remainder when 2729 is divided by 10?
9
Calculate the remainder when 3935 is divided by 8.
7
What is the remainder when 2948 is divided by 57?
41
What is the remainder when 1656 is divided by 83?
79
Calculate the remainder when 582 is divided by 65.
62
Calculate the remainder when 2615 is divided by 187.
184
Calculate the remainder when 4733 is divided by 8.
|
{
"pile_set_name": "DM Mathematics"
}
|
8).
6
Let h = 15 + -14. Suppose -d = -h + 2. Calculate the remainder when 13 is divided by 5 + d/(-2)*-4.
1
Suppose 4*p = -5*f + 65, 4*f + 2*p - 21 = 37. Suppose 4*m - 162 + 178 = 0. Let c(h) = 4*h**2 - 2*h - 8. What is the remainder when c(m) is divided by f?
13
Suppose -5*d = 6 - 26. Suppose -d*z - 25 = -5*n - z, 0 = -2*n - 4*z - 16. Calculate the remainder when (-4)/(16/(-106))*n is divided by 14.
11
Suppose -3*k - 4*r + 221 = 2*k, -4*k + 144 = -5*r. Calculate the remainder when 200 is divided by k.
36
Let h(j) = 6*j - 172. Calculate the remainder when h(39) is divided by 3.
2
Suppose 180 = -192*d + 207*d. What is the remainder when 71 is divided by d?
11
Suppose -3*y + 42 = -3*f, 3*y + 5*f = -y + 38. Suppose 2*j = b - 22, 0*j + 3*j = -3. Let q = 55 - b. What is the remainder when q is divided by y?
11
Let s = 1 - -1. Suppose 2*r = -22 - 14. Let i = -14 - r. What is the remainder when i is divided by s?
0
Let r = -5 - -29. Suppose -5*j + r = -8*j. What is the remainder when 6 is divided by 9/6*j/(-6)?
0
Let q = 35 - 9. Suppose -4*u + 210 = 18. What is the remainder when u is divided by q?
22
Suppose -23 = -3*o + h, -o - h + 5 = -8. What is the remainder when 4*4/48 - (-616)/24 is divided by o?
8
Suppose 0 = -3*c - 12, -658 = -2*d - d - 5*c. Calculate the remainder when d is divided by 52.
18
Let c(b) = 406*b - 1036. Let q(n) = -11*n + 28. Let g(z) = 3*c(z) + 112*q(z). What is the remainder when 111 is divided by g(0)?
27
Suppose 2*k + 59 = 3*t, -t - k = -6*k - 11. Calculate the remainder when -3*((-56)/3 - 1) is divided by t.
17
Let d(f) = 74*f + 857. What is the remainder when d(0) is divided by 41?
37
Suppose 0 = -3*k + 9, 4*m - 7 - 87 = -2*k. Calculate the remainder when (-2)/(-17) - 6618/(-102) is divided by m.
21
Suppose -3*l + 40 = -11. Let i = 28 + l. Suppose -3*s - 2*b + i = 0, b - 2*b = 3*s - 42. What is the remainder when 51 is divided by s?
12
Let j be (1 - -1)/((-10)/(-15)). Suppose -j*h = h + 4*c - 64, -5*h + 100 = -5*c. What is the remainder when 69 is divided by h?
15
Let p be (-1 - -6)/((-1)/8). Calculate the remainder when 2 + (-3)/(6/p) is divided by (182/65)/7*15.
4
Suppose -3*d + 418 = -2*g, 3*d - 2*g - 410 = 2*g. Calculate the remainder when d is divided by 37.
31
Let t be 3/9 + (-23)/(-3). Suppose -2*m + 10 + t = 0. Suppose -82*s - 61*s + 447 + 3986 = 0. What is the remainder when s is divided by m?
4
Let g = -64 - -107. Let j = g + 0. Calculate the remainder when j is divided by 9.
7
Suppose -4*a - 41 = 19. Let y(d) = -d - 9. What is the remainder when 22 is divided by y(a)?
4
Suppose 1523*j + 39 = 1524*j. Let y = -6 - -10. Calculate the remainder when j is divided by y.
3
Suppose 3*o + 40 = -140. Let q = 87 + o. Suppose -4*y = 7 - 23, 2*f + y = 18. Calculate the remainder when q is divided by f.
6
Suppose 5*h - 117 - 38 = 3*j, 0 = -5*h - 4*j + 120. Let i(r) = -2*r**2 + 13*r**2 + 1 - 2*r + 0 + 0. What is the remainder when h is divided by i(1)?
8
Suppose 4*d - 27 = 4*i + 9, 41 = 3*d + 4*i. Let k(y) = 20*y - 529. What is the remainder when k(28) is divided by d?
9
Suppose 0 = -13*x + 940 + 1140. Calculate the remainder when x is divided by 41.
37
Let y(q) = q + 11. Let x be y(-7). Let o be 1*(3 - x)*-41. Suppose -3*n - o = -8*n + k, -42 = -5*n + 2*k. What is the remainder when n is divided by 5?
3
Suppose -5*c = -20, 4*c - 16 = 4*p - 72. Suppose -4*u = p - 74. Calculate the remainder when ((-8)/(-5) + -2)/((-37)/2405) is divided by u.
12
Let g(b) = -b + 14. Suppose 0 = 3*k - 8*k + j + 56, -3*k + 5*j = -38. Calculate the remainder when g(k) is divided by 1.
0
Let h = 295 + -136. What is the remainder when h is divided by 42?
33
Let u = -13 - -32. Let n = u + -11. Calculate the remainder when 21 is divided by n.
5
Suppose -26 = 4*g + l - 3*l, -4*g + 3*l - 21 = 0. Let r(f) = 19*f**3 + f**2 - 4*f + 2. Let x be r(2). Calculate the remainder when 59 is divided by 6/(-5)*x/g.
19
Suppose 42*x = 37*x + 250. Let s = -45 + x. Let m = 64 - 45. Calculate the remainder when m is divided by s.
4
Suppose 14*y + 8*y - 988 = -4*y. What is the remainder when y is divided by 14*(-2)/(-8)*2?
3
Let t(k) = -2*k**3 - 23*k**2 - 14*k - 12. Let a(n) = -2*n**2 + 5*n - 13. Let o be a(2). What is the remainder when 39 is divided by t(o)?
18
Let h(g) = -17*g - 15. Let a = 31 - 41. Let o be h(a). Let r = o - 110. What is the remainder when r is divided by 12?
9
Suppose 3 + 1 = l. Suppose 14 = -6*v - 46. What is the remainder when -1 - -4 - 2 - v is divided by l?
3
Let i(y) = -55*y - 260. What is the remainder when i(-7) is divided by 26?
21
Suppose 0 = 94*q + 9*q - 9167. What is the remainder when 436 is divided by q?
80
Suppose -4*b = -8*b + 44. Calculate the remainder when 12 is divided by b.
1
Let f be -67 - -5 - (-2 + 1). Let r = -43 - f. Suppose -r - 10 = -4*m. Calculate the remainder when m is divided by 5.
2
Let u = 199 + -185. What is the remainder when 23 is divided by u?
9
Let r = -15 + 15. Suppose 4 = m, r = -4*z + m + 11 + 29. Let p(h) = h**2 - 9*h + 1. Calculate the remainder when 91 is divided by p(z).
22
Let y = 569 + -302. What is the remainder when y is divided by 16?
11
Let w(c) = -c**3 - 8*c**2 + 11*c + 151. Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
ine z(-9).
12
Let q(v) be the second derivative of -2*v**3/3 + 19*v**2/2 - 156*v + 1. What is q(5)?
-1
Let q(n) be the second derivative of -n**4/12 + n**2 + 165*n. What is q(5)?
-23
Let l(s) be the first derivative of s**2/2 + s + 3. Suppose -12 + 23 = -2*u + r, 5*u + 3*r = -33. Determine l(u).
-5
Let h(w) = -3*w**2 - 29*w - 15. Let y be h(-10). Let z = y - -23. Let s(f) = f. Give s(z).
-2
Let t(l) be the second derivative of -1/6*l**4 - 13*l + 1/20*l**5 + 0 - 1/2*l**3 + 2*l**2. Determine t(3).
4
Let m be -3*(2 - 2/6). Let g(s) = -s**2 + 5*s + 14. Let t(v) = v + 2. Let o(u) = g(u) - 4*t(u). What is o(m)?
-24
Let p(m) = -m**3 + 5*m**2 + 3. Suppose -17*f + 75 = -10. Calculate p(f).
3
Let n(j) = 6*j + 4*j**2 + 2*j**3 - 3*j**3 - 1 + 0*j. Let i be (-8)/(-36) + (-466)/(-9). Let m = i + -47. Give n(m).
4
Let f(k) be the second derivative of k**5/20 - k**4/2 - k**3/6 - 5*k - 52. Calculate f(6).
-6
Let j = 5 - 1. Let b(n) = 4*n - 5*n**2 - 193 + 100 + n**3 + 98. Give b(j).
5
Let o(n) = -12*n + 9. Let m(g) = 4 - 5 - 4*g + 6*g - g. Let r(h) = -9*m(h) - o(h). Let p be 3/(6/(-4)) + 3. Calculate r(p).
3
Let q(x) = -x - 3. Let t = -31 - -36. Let n(v) = -v**3 + 5*v**2 - 3*v + 12. Let y be n(t). What is q(y)?
0
Let a(t) = t**3 + 10*t**2 + 17*t + 11. Suppose -6*y + 3*y = 24. Let s be a(y). Let c(f) = -9*f**3 + s*f**3 + 3*f - 3*f**2 + 5*f**3. Give c(-4).
4
Let p(d) be the first derivative of -d**3/3 + 3*d**2 + d + 1. Let m be (14/6)/((-102)/18 + 6). Calculate p(m).
-6
Let n be (1 - 1)*((-228)/18 + 13). Let i(y) be the second derivative of n - 5/6*y**3 + 11*y + 1/12*y**4 + 3/2*y**2. Determine i(5).
3
Let p(s) be the second derivative of -s**6/360 + 3*s**5/40 - s**4/4 + 7*s**3/6 - 10*s. Let i(o) be the second derivative of p(o). Give i(4).
14
Let g(r) be the third derivative of -r**4/4 + r**3/6 + 43*r**2. Give g(1).
-5
Let u(z) = 2*z + 1. Let q(n) = n**2 - 14*n. Let p be q(15). Suppose -5*h + 8*t = 3*t - p, -4*t - 13 = -5*h. Determine u(h).
3
Let q(m) = -m**2 - m - 13. Suppose 5*y + 3*k - 12 = 0, 2*y - 4 = -3*k - 1. Suppose -4*h - y*h = 0. Determine q(h).
-13
Let d(u) be the first derivative of 5/3*u**3 + u - 1/4*u**4 - 7 + 7/2*u**2. Let b be ((-24)/(-30))/((-6)/(-45)). Determine d(b).
7
Let j(l) = -l**3 + 3*l**2 + 1. Let n(s) = -20*s**3 - 4*s**2 - 2*s - 5. Let v(x) = 2*j(x) + n(x). Give v(-1).
23
Let o(f) = 1 + 3*f**3 - 26*f**2 + f + 13*f**2 + 15*f**2. Give o(-2).
-17
Suppose 0 = 2*o + i + 2, -5*o - 5*i = -i - 1. Let b(s) = 2*s - 4. Let z be b(o). Let j = 16 + z. Let n(w) = -w**2 + 8*w - 5. Determine n(j).
7
Let r(n) = -n**2 - 3*n + 7. Suppose 6*a - 2*h = 2*a - 16, -5*a - 11 = 2*h. Give r(a).
7
Let n(a) be the second derivative of -a**4/12 - 3*a**3/2 + 3*a**2 + 101*a. Give n(-11).
-16
Let n(v) = 168*v + 168*v - 338*v + 1 + 2. What is n(3)?
-3
Let r(p) = -1 - 2 + p**3 + 6*p**2 - 1. Let c = -283 - -277. Give r(c).
-4
Let m(x) = x**2 - 14*x - 28. Let v be m(16). Let l(y) = -y**3 + 4*y**2 + 3*y + 2. What is l(v)?
14
Let y be 2/9 - 14/(-18). Let j = y - -5. Let n(c) = j*c + 4 + 2*c + c**2 - 3 + 1. Calculate n(-6).
-10
Let z be (-9)/6*2*-1. Let l(f) = -f + z - 6 - f. Let n = -9 - -6. Give l(n).
3
Suppose -31 = 8*j - 103. Let w(t) = -t**3 + 8*t**2 + 8*t - 6. Give w(j).
-15
Let c(i) = i**2 + 3*i. Let h = 17 - 21. Determine c(h).
4
Let h(x) = 2*x**2 - x**3 + 39*x + 4 + 0*x**2 - 38*x. Calculate h(3).
-2
Let k(u) be the first derivative of u**4/4 + 7*u**3/3 - 3*u**2 - 10*u + 55. Calculate k(-8).
-26
Suppose 3*g - 3 = q - 1, -14 = -5*g - q. Let k(a) = 2*a**3 - 8*a + 3*a - a**3 + 4*a**2 + g - a. Give k(-5).
7
Let r(n) = n**3 - 13*n**2 + 12*n + 2. Suppose 3 = -2*b + 27. Calculate r(b).
2
Let i(b) = -3*b + 48 - 55 - 18*b + 4. Calculate i(-1).
18
Let h(i) = -2*i + 4. Suppose -38 = -17*k - 4. What is h(k)?
0
Let n be (-2223)/342 + (-1)/2. Let m(b) = b + 8. Calculate m(n).
1
Let m be (-2)/4*(-4 + 2). Let a(n) be the third derivative of n**4/6 - n**3/6 - 93*n**2 - 2. What is a(m)?
3
Let x(u) be the third derivative of u**4/12 - 162*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
* -1.
143
0.109 * 1
0.109
Product of 0.4 and 0.71.
0.284
What is 0.0411 times -0.5?
-0.02055
-456 times -0.4
182.4
-0.4 times 190
-76
What is the product of -406.4 and -0.05?
20.32
What is the product of -0.44 and 0.3?
-0.132
What is -124 times 4?
-496
Calculate 100*3.
300
Work out 0.1 * 3792.
379.2
-1151*-0.05
57.55
Work out -431 * -0.3.
129.3
-4*-3426
13704
Work out -5338 * -0.5.
2669
0.4 times -20
-8
Calculate 0.06*34.9.
2.094
Work out -0.4 * 1047.
-418.8
Product of -25 and 5.
-125
What is 0.01 times -34?
-0.34
Work out 1.39 * 0.11.
0.1529
What is the product of -97 and -0.01?
0.97
0.5 times 1482
741
Work out 0.023 * 3.
0.069
Multiply -1182 and 0.1.
-118.2
Calculate 0.05*60.
3
Multiply 0.0644 and -2.
-0.1288
Multiply 2 and 7331.
14662
-25 times -34
850
-12101 * 2
-24202
Work out -7 * -4.84.
33.88
3 times -0.02
-0.06
-2 times 76.4
-152.8
0*-95.77
0
Multiply -5 and 0.4.
-2
0*-5.619
0
Calculate -0.2*44.7.
-8.94
Product of -6371 and -2.
12742
What is the product of -1.3 and 202?
-262.6
Product of 6853 and 0.1.
685.3
-0.029 * -0.1
0.0029
Product of -0.7 and 5.
-3.5
Product of 0.068 and 0.5.
0.034
What is 0 times -766?
0
Multiply 0.6 and -0.562.
-0.3372
1.82 times 40
72.8
Product of 5042.6 and 0.2.
1008.52
0.1*340
34
Product of 0.4 and 46.
18.4
Multiply -0.3 and -632.
189.6
551*-0.4
-220.4
2 * -95
-190
-211*3.4
-717.4
26 * 1.6
41.6
Calculate -1961*-0.2.
392.2
Calculate -218*0.3.
-65.4
Product of -0.02617 and 0.4.
-0.010468
Multiply -2250 and 2.
-4500
Multiply -0.2 and 69.
-13.8
5 * -1
-5
Calculate -0.4*0.76.
-0.304
-27.7*10
-277
-27.081*0.2
-5.4162
-205 * 0.1
-20.5
What is the product of -15 and 7.1?
-106.5
Product of -2 and -11.6.
23.2
What is 0.1 times -637?
-63.7
Multiply 0.5 and 0.0756.
0.0378
What is the product of -0.15 and 0.018?
-0.0027
What is the product of -0.3 and -176.4?
52.92
Multiply 0.6 and -5144.
-3086.4
-342*0.5
-171
What is 0.38303 times -1?
-0.38303
-6.9*-5
34.5
Work out -536 * 0.2.
-107.2
What is the product of 0.1 and -0.01?
-0.001
Product of 4.4 and 0.07.
0.308
477*-0.5
-238.5
Work out 2 * 265.
530
235 * 2
470
What is 4 times -7?
-28
1 * -40.8
-40.8
What is the product of -2226 and -0.3?
667.8
Work out 48 * 16.
768
-12 times -0.18
2.16
Multiply -666 and -5.
3330
Work out 0.039 * -0.01.
-0.00039
Work out 12 * 2.
24
0.2 * 445
89
Work out 189.7 * 0.
0
Work out 16 * 13.6.
217.6
What is the product of 0.1 and -701?
-70.1
Work out 0.156 * 1.
0.156
Multiply -17184 and 0.2.
-3436.8
Multiply 52 and -10.
-520
Work out -0.4 * -9.1.
3.64
Product of 1 and 20.9.
20.9
-4404 times -0.3
1321.2
What is 2 times 394?
788
What is the product of -128 and -3?
384
What is 0.3 times 20.6?
6.18
What is 211.7 times 0.1?
21.17
Product of -0.36 and -17.
6.12
Product of 0.0861 and 5.
0.4305
-5.03 times -4.2
21.126
What is the product of -22.41 and -0.3?
6.723
Multiply -1.337 and 0.4.
-0.5348
2*0.64
1.28
Calculate 0.079*-0.7.
-0.0553
Multiply 111 and 1.
111
-0.4 times 375
-150
-12 times -5.6
67.2
Product of 1.029 and -0.03.
-0.03087
Calculate -762*0.07.
-53.34
What is the product of -1057 and -0.3?
317.1
0.12*-0.212
-0.02544
Product of 25.4 and -0.01.
-0.254
Product of -1171 and 0.4.
-468.4
Calculate -1072*0.1.
-107.2
Work out -0.5 * -0.2371.
0.11855
Product of -27.69 and 4.
-110.76
What is the product of -2 and -0.04593?
0.09186
Calculate 0.07*-2.18.
-0.1526
Calculate 4.71*-0.4.
-1.884
Work out 2 * -33.
-66
What is 0.4 times -1329?
-531.6
What is 0.18 times 91?
16.38
0.3 times 0.7629
0.22887
What is the product of -0.269 and -3?
0.807
0.2*0.01
0.002
1.1 times -2.3
-2.53
0.003*0.2
0.0006
Work out -3 * 63.
-189
Work out 23 * -0.4.
-9.2
Work out -3 * 0.77.
-2.31
What is -119 times 1.4?
-166.6
Calculate 1*2620.
2620
-0.5 * -308
154
Product of -15 and 6.
-90
Calculate 23.318*-1.
-23.318
Calculate 0.227*-11.
-2.497
Work out 0.012 * 0.02.
0.00024
Product of 8574 and 0.1.
857.4
Multiply 1335.2 and 1.
1335.2
Work out 108 * 0.4.
43.2
What is -0.0222 times -0.5?
0.0111
What is the product of 515 and 4?
2060
What is the product of -15 and -397?
5955
-58397 times -0.4
23358.8
Product of 5 and 0.2754.
1.377
Multiply 3 and -0.67.
|
{
"pile_set_name": "DM Mathematics"
}
|
d = d + 5, -y*d - 6 = 2*b for b.
3
Suppose 0*r = 3*r - 9. Suppose -5*v - g = 4*g, -5*g - 21 = -2*v. Solve 2*n + 7 = -5*q, 1 = 5*n - v*n - r*q for n.
-1
Suppose -2*q - h + 7 = 4*h, -q + 4*h = 29. Let n be ((-24)/q)/(2/3). Suppose -2*s + n + 6 = 0. Solve -5*f = -s*c, -6*f + 2*f = -c - 9 for c.
3
Let a(h) = -h**3 - 11*h**2 + 12*h + 10. Let d = -33 - -21. Let l be a(d). Let t be (112/(-35))/((-2)/l). Solve 0 = -4*i - y + 2*y - t, 4*y + 4 = -i for i.
-4
Let a(y) = 3*y - 9. Let h be a(8). Solve m - h = 5*t, 4*t - 3 = -m - 15 for m.
0
Suppose 16*l = 32*l - 48. Solve 10 = l*j + 2*j, -5*j = -u - 7 for u.
3
Let n(q) = q**2 - 14*q + 19. Let b be n(13). Solve -2*r - b - 7 = -5*z, 0 = -2*r + 2 for z.
3
Let n(r) = -r**3 + 18*r**2 + 16*r + 61. Let u be n(19). Solve 0 = -b - 3*q - 5, 4*b - u*q + 1 = -3 for b.
-2
Let w be 3 + (-2 - 1) + -2. Let s be -1 + 2 + (-14)/w. Solve f = -2*y + 4*f - 20, -3*y = f + s for y.
-4
Let n(x) = -x**3 + 7*x**2 + 17*x + 12. Let d be n(9). Solve j + 2*w - 1 = d*w, w = -5*j + 11 for j.
2
Suppose 21 + 0 = 7*r. Solve -r*v - 1 = -4*d, -4*v - 4*d = -0*v + 20 for v.
-3
Let v(p) = 2*p**2 + 2*p. Let l be v(-2). Let w be 1/l - (-412)/16. Let x = -2 - -2. Solve -5*n = -5*i + w - 11, x = -n - 2*i + 9 for n.
1
Suppose -18 = -c + 3*p, 3*c + c - 5*p - 37 = 0. Suppose -14 = 4*z - 6, -3*t - c*z = 3. Solve -3*s = i - 2, 5*i - 2*s + 6*s + t = 0 for i.
-1
Suppose 5*f - 25 - 25 = 0. Suppose -w + 0*w + 6 = 0. Let l = w - 6. Solve l = d + 5*v - 10, -5*d + v - f = -4*v for d.
0
Let a(z) = 4*z - z - z**2 + 0*z**2 + z. Let v be a(4). Solve 0 = -3*s + 5*n - 24, -3*s - n = -v*s + 6 for s.
-3
Suppose -5*n + n = 0. Let r = -87 - -89. Solve 3*a = -a - 4*m - 20, n = r*a - 2*m - 10 for a.
0
Let w = -5 + 5. Suppose w = -0*r + r - 12. Let y = -10 + r. Solve 0 = 3*v + d - 7, y*d + 4 = 0 for v.
3
Let h(s) = s**3 - 4*s - 3 + 3*s**2 + 0*s**3 + 5*s - 3*s. Let p be h(-3). Solve -3 + 18 = -p*q + 4*k, 4*k = -4*q - 20 for q.
-5
Suppose 0 = 2*g + 6, 5*z + 5*g + 4 + 1 = 0. Let k(a) = -a**2 + 4*a - 1. Let l be k(3). Solve 4*t - l*h - 2 = 0, 4*t + z = 4*h - 2 for t.
2
Let r(c) = -11*c - 19. Let w be r(-2). Solve -2*s + 36 - w = 5*h, 2*h = 2*s + 2 for s.
4
Suppose w + 3 = -4*n, 5*n - 10*w - 15 = -5*w. Solve 0 = -2*o + c - 7, 11 = -o + 2*c - n for o.
-1
Let q = -14 + 16. Solve -2*m - q*y - 12 = -4*m, 2 = -2*y for m.
5
Let q be (-3 - (-8)/2) + -4. Let b be (3 + -1)/(q + 4). Suppose -2*t + 8 = -2*g, 2*t - 2 = -b*g + 2. Solve 5*w - 4*a = -2*a - 11, 0 = -5*w + t*a - 9 for w.
-3
Suppose 2*f = -4*n + 68, 2*n - 56 = -n - 4*f. Let h(c) = 2*c - 6. Let j be h(6). Let w = j + -2. Solve -3*u + 28 = w*k, 5*k - 2*u + u = n for k.
4
Let p be ((-8)/(-6))/((-2)/(-9)). Suppose -4*z + 10 = -p. Suppose -2*v - 5*l = 3*v - 40, 3 = -z*v + 3*l. Solve -2*k + 4*i = -8, -v = -k + 5*i + 13 for k.
-4
Let p be 8 + (1 - -3) + -9. Let f(m) = -m**2 - 8*m - 2. Let j be f(-6). Let i be 4/(-10) - (-84)/j. Solve a + i = -4*q - 0*q, -p*a = 0 for q.
-2
Suppose -5 = 5*i - 4*g - 17, 5*g = 4*i - 15. Solve i = 4*v + 2*p + 30, -3*p - 33 - 2 = 4*v for v.
-5
Let b = 4 - -1. Solve 4*i + 8 = -b*k - 2, 10 = -2*i for k.
2
Let r(a) = 2*a + 6. Let q be r(5). Let u be (-18)/(-6) + q + 0. Solve 3*m = t - 6 + 5, 3*m - u = -4*t for t.
4
Suppose -2*j = -3*j + 1. Solve 4*a = -5*r + 7, -a + 2*r - 4*r = -j for a.
3
Let n be 136/36 + (-4)/(-18). Let b = -42 + 44. Solve 0 = -b*l - 3*l + 3*c + 10, n*l = -2*c + 8 for l.
2
Suppose -1 - 1 = -o. Suppose -3*b + 0*t + 2*t - 19 = 0, -8 = -4*t. Let u = 9 + b. Solve -o*f - 3 = 3*h, 3*h - u*f = h - 18 for h.
-3
Suppose 0 = 3*n - 4*c + 17, -5*c + 0*c = 4*n - 29. Let m = n - -12. Solve 2*j + 2 = 2*t, -5*t + 0*t + j = -m for t.
3
Let o = -10 - -7. Let w be o/12 - (-42)/8. Solve k - 16 = w*n + 3, -3*n - 21 = -3*k for n.
-3
Let k be 8*(-1)/(-10) - (-33
|
{
"pile_set_name": "DM Mathematics"
}
|
-16
Rearrange z**2 - 5 + 3 - 8*z**2 to o + u*z**2 + p*z and give o.
-2
Rearrange -597*z + 43*z**2 + 597*z to the form o*z + u + h*z**2 and give o.
0
Rearrange (-9 + 2*m + 9)*(2 - 2 - 1) - 9*m - 21 + 21 to the form p*m + w and give p.
-11
Express -7 + 13 - 2*c + c**3 + 0 - 2*c**3 in the form m + d*c + i*c**3 + q*c**2 and give i.
-1
Express -y - y**2 - 4*y - 4*y**2 + 4*y**2 in the form q*y + s*y**2 + r and give q.
-5
Express a - a + 3*a + (-2 + 2 - 2*a)*(2 - 2 + 1) as i + k*a and give k.
1
Rearrange (-2*v + 2*v - 2*v)*(7 - 5 + 4)*(v + 6*v - 2*v) to the form h*v + y*v**2 + l and give y.
-60
Express (-4 + 5 + 1)*(-3*i - 2*i + 3*i) - i + 0 + 0 in the form k*i + y and give k.
-5
Express 0*c**3 + 1779*c**2 - 1779*c**2 - 5*c**3 + 1 + c in the form y*c**2 + m*c + g + p*c**3 and give m.
1
Express (9*m**3 - 3*m**3 - 9*m**3)*(2*m - 4 + 4 + 2) as a*m**3 + o*m + k*m**2 + p + w*m**4 and give w.
-6
Express (-3*l + 3*l + l)*(-127 - 390 + 1011) as u*l + c and give u.
494
Rearrange l**3 - l**3 + 2*l**4 + (4*l - l - 4*l)*(-3*l**3 + 3*l**3 + 2*l**3) + 0*l + 2*l + 17*l**4 - 60*l**4 to f*l + q + d*l**2 + a*l**4 + u*l**3 and give d.
0
Express -4 + 3 + 46*b**2 - b**4 + b - 45*b**2 as i*b**4 + m*b + j*b**2 + c + a*b**3 and give c.
-1
Express 3*f**3 - 4 + 4 + 3 + (-3*f**3 + 4*f**3 - 3*f**3)*(-9 - 13 + 16) as h + t*f**3 + q*f**2 + a*f and give t.
15
Express (-38*z - 35*z + 70*z)*(-z + 3 - z - 2) + 0*z**2 - z**2 - z**2 as o*z + d + u*z**2 and give d.
0
Rearrange 2*c**3 + 4*c**4 + 0*c**4 + 7 - 3*c**4 + 6*c**2 - 8 to the form i*c**2 + u*c + r*c**4 + z + b*c**3 and give z.
-1
Express -2 - 36*m - 22*m - 28*m + 17*m in the form x + o*m and give o.
-69
Rearrange (-1 - w - w + 4*w)*(4 - 5 + 3) to the form m + l*w and give l.
4
Express -3*b + 13*b**2 + 3*b + (2 + 5 - 6)*(-5*b**2 - 8*b**2 - b**2) as j*b + t*b**2 + m and give t.
-1
Rearrange (-1 + 2*a + 1)*(5*a - 2*a + 2*a)*(-2 + 5 + 1) to i*a + w + b*a**2 and give b.
40
Express (-3*z - 6*z - 6*z)*(2*z - 4 + 4*z - 5*z) as t*z**2 + c*z + r and give t.
-15
Rearrange (-1 + 4 - 1)*(-12*w**3 + 48 + 9*w**3 + 2*w**3) to the form d + k*w**3 + c*w + a*w**2 and give d.
96
Rearrange (r + 2*r - r + 2)*(-257*r**2 - 258*r**2 + 530*r**2 + 2*r**3) to z*r**3 + w*r**4 + y*r**2 + h + n*r and give y.
30
Rearrange -11*x + 8*x - 7*x - 6*x to the form u*x + r and give r.
0
Rearrange -b + 7*b - 24*b to c + s*b and give s.
-18
Express -4 + 5 + 18*v - 1 as a + i*v and give i.
18
Rearrange 3*i**2 + 3*i**3 + 26*i**4 - 2*i - 28*i**4 - i**2 to the form v*i**2 + t*i**4 + l + y*i**3 + d*i and give t.
-2
Express -2*w + w**2 + 7*w + 719*w**3 - 716*w**3 as g*w**3 + r + s*w + f*w**2 and give f.
1
Rearrange (2*u**3 - 2*u**3 - 2*u**3)*(-37 + 52 - 32) to n + s*u + j*u**3 + q*u**2 and give j.
34
Express f - 2*f**2 - f**2 - 12*f**4 + 10*f**4 - 2 in the form h + x*f + i*f**2 + t*f**3 + d*f**4 and give x.
1
Express 13 + k - 33 + 27 + 5*k as c*k + o and give c.
6
Express 4 - 4 + 44*a + 0 as u + g*a and give g.
44
Rearrange -4*v + 7*v - 3*v + 11*v**2 to the form i*v + r + j*v**2 and give j.
11
Rearrange ((y + 0 + 0)*(3*y - 3*y - 2*y) - 541 + 35*y**2 + 541)*(0 + 1 - 3)*(0 + 3 - 1)*(0*y + 4*y - 2*y) to the form n*y + r*y**2 + q*y**3 + j and give q.
-264
Rearrange 3*z - 2*z - 11*z**3 - 10*z**3 + 26*z**3 - 10 to the form m + d*z + b*z**3 + h*z**2 and give d.
1
Rearrange (0*j + 3*j - 2*j)*(10 + 12 + 10) to r + t*j and give t.
32
Rearrange (l + l - 3*l)*(-12*l + 4*l + 45*l)*(1 - 1 - 2*l) to the form s*l**3 + v*l + k*l**2 + n and give k.
0
Express (4*w**2 + 6*w**2 - 13*w**2)*(0*w - 3*w + w) - w + 11*w - 2*w**3 - 6*w as v + n*w**2 + y*w**3 + x*w and give x.
4
Express (1 + 2*f**2 - 1)*(2 - 11 - 8)*(5*f - 2*f - 2*f) in the form a*f**2 + b*f**3 + p + c*f and give b.
-34
Rearrange 93 - 93 - 19*t to g*t + i and give i.
0
Rearrange 3*a + 73*a**2 - 3*a - 2*a**3 - 77*a**2 to v + g*a**3 + q*a + f*a**2 and give f.
-4
Rearrange (2*v**3 + v**3 + 5*v**3)*(0 + 0 - 2) + 2*v**3 - 2*v**2 + 2*v**2 + 2*v**2 + v
|
{
"pile_set_name": "DM Mathematics"
}
|
*z**2 and give x.
2
Express (-4*v**3 + 5*v**3 - 4*v**3)*(3 - 2 - 3)*(-3 + 3 + 3) as r*v**3 + n*v**2 + o*v + p and give r.
18
Rearrange -3 - 3 - 5*a**2 + 5 + 0 to the form h*a + k*a**2 + f and give f.
-1
Express -b**2 - b**2 - 2*b**3 - 5*b**3 as r + k*b + l*b**3 + q*b**2 and give q.
-2
Express -13*a**2 - 2*a + 12*a**2 + 0*a**3 + 4*a**3 in the form k + g*a + q*a**2 + j*a**3 and give q.
-1
Rearrange (-2*c - 2*c + c)*(0*c**2 + 3*c**2 - 5*c**2 + (c - 2*c + 0*c)*(7*c - 3*c + 2*c)) to the form q*c**2 + d + b*c + l*c**3 and give l.
24
Express -8*x**2 + 28*x**2 + 19*x**2 + 3*x**2 in the form q*x**2 + h + n*x and give q.
42
Rearrange (0*b + b + b)*(-1 - 2 + 4) + 0*b + b + 2*b + 11*b + 25 - 25 to the form j*b + v and give j.
16
Express -2*l**2 + 22*l**2 - 5 + l + 5 + 1 in the form q*l**2 + f + v*l and give f.
1
Express (1 + 1 - 4)*(17*r**4 - 29839*r**3 + 29839*r**3) as p + z*r**2 + t*r**3 + i*r**4 + s*r and give i.
-34
Express -85*l + 70*l + 177*l in the form p*l + s and give p.
162
Rearrange (3 + 245*z - 120*z - 120*z)*(3*z**2 - 2*z**2 + 4*z**2) to the form h*z**2 + w*z + b*z**3 + v and give w.
0
Express (1 - 1 + z)*(0 - 4 + 3)*(2 + 8 + 9) as m*z + f and give m.
-19
Express (-216*w**4 + 320*w**4 + 262*w**4)*(2 + 1 - 2)*(5 - 3 - 1) as c*w**4 + b + a*w**3 + q*w**2 + v*w and give c.
366
Rearrange (832 + 9*u**2 - 832)*(2 + 2 - 2) to s*u**2 + c + p*u and give s.
18
Rearrange -12*t**2 + 15 - 9 - 6 to v*t + u + x*t**2 and give u.
0
Rearrange 1 - 2*l**3 + 4*l - 5 + 3 - 2*l to the form c*l + b*l**3 + n*l**2 + k and give b.
-2
Express (-1 + 108*h + 89*h - 220*h)*(3 - 5 + 5) in the form r*h + v and give v.
-3
Rearrange -22*y**2 - 268*y + 266*y - 13*y**2 to the form b*y**2 + k + v*y and give v.
-2
Rearrange -7*p + 2*p**3 + 4*p + 9*p + (-3*p**2 + p**2 + 0*p**2)*(2*p + 2*p - p) to the form y + u*p**3 + i*p**2 + v*p and give y.
0
Rearrange (0*f + 3*f - 2*f)*(-4*f**3 - 2*f**3 + 5*f**3) + 16*f**4 - 4*f**4 + 18*f**4 to a + i*f**3 + k*f**2 + d*f**4 + l*f and give d.
29
Rearrange -5*k**2 - 26*k + 25*k + k**2 to the form w*k + f + y*k**2 and give w.
-1
Express 4*c**3 + c - 16*c**2 + 1 + 16*c**2 as n*c**2 + u*c + i*c**3 + k and give k.
1
Rearrange ((2*f - 4*f + 0*f)*(4 + 0 - 3) - 3 + 3 - 2*f)*(-4 + 5 + 1)*(1 + 2 + 0)*(1 - 1 + 4) to l*f + y and give l.
-96
Rearrange -3*a + 32 - 32 to q + f*a and give f.
-3
Rearrange 3*a + 18 - 27 - 2*a to q*a + h and give q.
1
Rearrange (m - 2 + 2)*(-1 + 0 - 1) - 7*m - 2 + 6*m + 3 to t + f*m and give f.
-3
Express (-5*a + 11*a + a + (2*a + 0*a - 3*a)*(0 + 1 + 0))*(-2*a + 2*a - a) in the form c*a + i + m*a**2 and give m.
-6
Rearrange -4 - 2*v**3 - 2*v**3 + 0 + 2 to the form w*v + b*v**2 + h + o*v**3 and give o.
-4
Express (0 - 2*r - 2 - 3)*(-r**3 - 3*r**3 + 2*r**3) as j*r + c*r**4 + m*r**2 + x*r**3 + q and give c.
4
Express 17*k**4 + 62*k**4 - 12*k**4 + 70*k**4 + (3*k**2 - 3*k**2 - 2*k**2)*(-1 + 1 + k**2) as q*k**4 + l*k**3 + m*k**2 + x*k + b and give q.
135
Rearrange -10*h**2 - 6*h**2 + h**3 + 17*h**2 - 3*h to the form z*h**2 + a + m*h**3 + i*h and give i.
-3
Rearrange (2*b + 0*b - b)*(4 - 3 + 1 + (-7 - 1 - 1)*(-2 + 1 + 3)) to f*b + a and give f.
-16
Express (2*j**2 - 5*j**2 + j**2)*(8*j + 7 - 3*j - 6*j) as p*j**2 + v*j**3 + u*j + d and give p.
-14
Rearrange d**2 + 20*d + d**2 + 0*d**2 - 15*d to w*d + g + l*d**2 and give w.
5
Express (-r - r + r)*(3*r - 5*r - 3*r) - 4*r**2 + 0*r**2 + r**2 in the form y*r + w + u*r**2 and give w.
0
Rearrange -19*k**3 - 43*k**2 + 0*k**4 + k**4 + 42*k**2 to x*k**4 + b*k**2 + f*k**3 + q + d*k and give b.
-1
Express -1 + 0 - 4 + r**3 - 2*r**2 + 6 in the form b*r**3 + k*r**2 + l*r + z and give k.
-2
Express 4*p - 3*p - 3*p**3 + 0*p + p**3 + 1 as r*p**2 + a*p + n*p**3 + z and give n.
-2
Express 22*h**2 - 31*h**2 - 30*h**2 in the form o + z*h**2 + w*h and give z.
-39
Express 5*i**4 - 14*i**4 - 4*i**4 + (-2*i**2 - i**2 + i**2)*(1 - 1 - i**2) + 0*i**4 + i**4 + 0*i**4 as y + u*i**4 + p*i**3 + j*i + q
|
{
"pile_set_name": "DM Mathematics"
}
|
value in -30, 28, -3, 5, 0.2, 0, -2?
28
Which is the second biggest value? (a) -0.2 (b) -1/208 (c) 0 (d) -42.274
b
What is the third biggest value in 4.24841, 35, 2?
2
What is the third smallest value in 20/23, 2/7, 0.054, -1118?
2/7
What is the fifth smallest value in -2/3, 3/8, 2, -6725, -0.48, 4, -0.1?
3/8
Which is the second biggest value? (a) -282 (b) -16396 (c) 2/5
a
What is the third smallest value in -690, -3, -53308?
-3
Which is the third biggest value? (a) -2423 (b) 34 (c) -40
a
What is the fourth smallest value in 14, -5, -0.1, -1, 16/9, -23/3?
-0.1
Which is the fourth biggest value? (a) -5 (b) -2 (c) 0.3 (d) -4/3 (e) -6.2 (f) -5714/3
a
Which is the seventh biggest value? (a) -384 (b) -2/15 (c) -0.2 (d) 4 (e) 3/4 (f) 9 (g) -0.1
a
What is the second smallest value in -2/11, -2/25, -81, 91, 20?
-2/11
Which is the third smallest value? (a) -500 (b) 0.2 (c) 13.99757
c
What is the biggest value in -237, 3, 45/398?
3
Which is the biggest value? (a) 1 (b) 23.22 (c) -81
b
Which is the third smallest value? (a) -3/2 (b) -370 (c) 11 (d) -0.1 (e) 0.3 (f) 2/189
d
Which is the second biggest value? (a) -2 (b) -21 (c) -4/5 (d) -193 (e) -1 (f) -9/7 (g) -1/7
c
Which is the biggest value? (a) 4 (b) -0.4 (c) -2821 (d) 603
d
What is the fourth smallest value in 3, 44, 2/3, -7.8, 4?
4
What is the third biggest value in -3/5, -5, -1, -59, 39, 1.1, 2?
1.1
What is the third smallest value in 4, -0.9, -69, 1121, -2/13?
-2/13
Which is the third biggest value? (a) -1/4 (b) 6/142751 (c) -40 (d) -4
d
What is the third biggest value in -4/7, -1.45, -2, -3, 0.0101?
-1.45
Which is the second smallest value? (a) -502 (b) 0.5 (c) -2/3 (d) 1/4 (e) 12
c
Which is the third biggest value? (a) 0.01 (b) 2939 (c) 2/21 (d) -2/5
a
What is the biggest value in -3, -20400, 3/20, -5, -1/4?
3/20
Which is the second smallest value? (a) 5 (b) -43/9 (c) -1/5 (d) -3/8 (e) 9 (f) -4
f
Which is the second smallest value? (a) -0.3 (b) 8 (c) 0.025 (d) -26 (e) -0.2 (f) 0.06
a
Which is the third smallest value? (a) -13 (b) -1095094 (c) 3
c
What is the smallest value in -69, -0.4, 0, 0.11, 4, -0.23, 4/15?
-69
Which is the sixth biggest value? (a) -581 (b) 0.2 (c) -3.8 (d) -2/5 (e) -4 (f) 0.3
a
Which is the third smallest value? (a) 319 (b) 0.2 (c) 0 (d) -4 (e) -636
c
What is the biggest value in -1, -0.213, -17.3?
-0.213
What is the seventh smallest value in -4.3, -3, 5/4, 6, 4, -4, -0.61?
6
Which is the third smallest value? (a) -5/7 (b) -0.6 (c) 26 (d) -2/7 (e) -2/11 (f) 3 (g) -10.7
b
What is the third smallest value in -45.5, 2/7, 3/7, 5, -0.5, 4, 74?
2/7
What is the third biggest value in -2/5, 3, 41674, -737?
-2/5
Which is the third smallest value? (a) -56 (b) 197984 (c) -42
b
Which is the smallest value? (a) 13126 (b) 1/12 (c) -41.4
c
Which is the third smallest value? (a) 0.1 (b) -1320/13 (c) -0.3 (d) -4/11 (e) -5
d
Which is the fifth smallest value? (a) -1.6022 (b) 28 (c) -2/13 (d) 2/3 (e) -5 (f) 1/3
d
Which is the fourth biggest value? (a) 0.4 (b) 6/6685 (c) 0.3 (d) -3/11 (e) 2/11 (f) -10
b
Which is the fourth smallest value? (a) 5 (b) -36/23 (c) 75/2 (d) -0.4
c
What is the third smallest value in 0.23, 6.8853, -0.02?
6.8853
What is the smallest value in 13/2, 0.10564, 0.102?
0.102
What is the fifth smallest value in -0.1, 0.3, -10, -3, -118750?
0.3
Which is the biggest value? (a) -134 (b) 0 (c) -9/44 (d) -0.3 (e) -2/5
b
Which is the sixth biggest value? (a) -32.9 (b) 12 (c) -2/5 (d) 34 (e) 1 (f) -1/5
a
What is the smallest value in -2/19, -35071, 1, -1/11?
-35071
Which is the third biggest value? (a) -3/8 (b) -96 (c) -0.4 (d) 16 (e) 0.4
a
Which is the sixth smallest value? (a) -5 (b) 3 (c) 3/691 (d) -9 (e) 4 (f) 1/15
e
Which is the fourth biggest value? (a) 0.5 (b) -2/7 (c) 3/2 (d) -0.3 (e) -43/2 (f) 178
b
Which is the fourth smallest value? (a) -13 (b) 33/5 (c) 2/1309 (d) -0.3
b
Which is the sixth smallest value? (a) -1/3 (b) 3 (c) 0.3 (d) -4 (e) -0.41 (f) -0.2 (g) 52
b
Which is the third biggest value? (a) -0.01 (b) -520
|
{
"pile_set_name": "DM Mathematics"
}
|
*k - 4*k - 4*k + 3*k. Let u(h) = -3*h. Determine d(u(v)).
6*v
Let b(y) be the second derivative of -y**4/6 + y. Let l(x) = -3*x + 4. Let i(f) = -49*f + 63. Let g(j) = 4*i(j) - 63*l(j). What is b(g(z))?
-98*z**2
Let w(u) = 39*u**2. Let l(v) = -v - 1. Let n(k) = -6*k - 5. Let y(i) = -5*l(i) + n(i). What is y(w(z))?
-39*z**2
Let v(k) = k. Let n(w) = 2789*w**2. Calculate n(v(x)).
2789*x**2
Let l = 5 - -1. Let v(i) = l*i**2 + i**2 - 3*i**2. Let o(c) = c**2. Calculate v(o(x)).
4*x**4
Let x(k) = -6*k**2. Let h(o) = 95*o. Let p(l) = -8*l. Let a(q) = -3*h(q) - 35*p(q). Determine x(a(z)).
-150*z**2
Let u(z) = -639*z. Let n(w) = -w. Determine n(u(x)).
639*x
Let g(m) = 8*m. Let z(k) = 5*k - 2*k**2 - 5*k. Determine z(g(j)).
-128*j**2
Let a(h) be the second derivative of h**4/4 + 3*h. Let y(j) = -2*j - 4. Let b(x) = 4*x + 9. Let p(c) = -4*b(c) - 9*y(c). Calculate p(a(k)).
6*k**2
Let i(q) = -259*q. Let f(d) = 2*d. Give i(f(o)).
-518*o
Let q(u) = -3*u**2. Let a(b) = -2698*b. Give a(q(j)).
8094*j**2
Let l(i) = i**2 + 9*i. Let n(v) = -2*v**2 - 5. Let x(w) = -w**2 - 2. Let z(o) = 2*n(o) - 5*x(o). Calculate z(l(y)).
y**4 + 18*y**3 + 81*y**2
Let b(g) = -3*g**2. Let c(q) = -q**2 - q + 1. Let i(y) = 9*y**2 + 5*y - 5. Let t(h) = 5*c(h) + i(h). Give b(t(r)).
-48*r**4
Let k(t) be the second derivative of 0*t**2 + 0 + 1/12*t**4 + 0*t**3 + 2*t. Let o(r) = -r. Determine k(o(g)).
g**2
Let s(u) be the first derivative of -u**2/2 + 4. Suppose -3*a - 7*v + 2*v = 1, 20 = 4*a - 4*v. Let l(i) = 4*i - a*i + i. Calculate s(l(d)).
-2*d
Let z(c) = c**2. Let s be (-1)/(-4 + 2)*160. Let v(k) = -s*k + 80*k - 3*k**2. What is z(v(l))?
9*l**4
Let y(x) = x. Let z = -10 + 14. Let r(d) = z*d + 4*d - 2*d. Give r(y(s)).
6*s
Let t(v) = -v + 1. Let r(s) = -3. Let o(u) = -3*r(u) - 9*t(u). Let w(i) = 4*i**2. What is o(w(f))?
36*f**2
Let g(h) = -4*h + 2. Let l(k) = -5*k + 3. Let b(s) = -3*g(s) + 2*l(s). Let z(a) = -8*a. Calculate z(b(x)).
-16*x
Let i(x) = 4*x - 17. Let r(g) = -2*g. What is r(i(h))?
-8*h + 34
Let n(g) = g + 3. Let m be n(0). Let a(i) = 15*i**2 + 5*i - 5. Let b(j) = 8*j**2 + 3*j - 3. Let v(r) = m*a(r) - 5*b(r). Let x(s) = 2*s. What is v(x(y))?
20*y**2
Let w(m) = 62*m**2. Let x(b) = 3*b**2 - 5*b. What is x(w(s))?
11532*s**4 - 310*s**2
Let c(m) = -3*m. Let d(n) = 165*n. What is d(c(u))?
-495*u
Let o(p) = 9*p**2. Let q(l) be the first derivative of l**3/3 + 2. What is o(q(z))?
9*z**4
Let g(y) = -206 - 8*y + 206. Let r(x) = -3*x**2 + 0*x**2 + 5*x**2. Determine g(r(a)).
-16*a**2
Let i(y) = 4*y. Let o(x) = -x**2 - x - 1. Let d(m) = -6*m**2 - 4*m - 4. Let j(k) = d(k) - 4*o(k). What is j(i(a))?
-32*a**2
Let m(j) = 3*j. Let y(r) be the second derivative of r**5/120 + r**3/2 - r. Let t(g) be the second derivative of y(g). Determine m(t(d)).
3*d
Let c(g) = g - 22. Let a(o) = -7*o. What is a(c(s))?
-7*s + 154
Let u(v) = -2*v - 106. Let c(d) = 2*d. Give c(u(i)).
-4*i - 212
Let t(n) = 20*n**2. Let q(m) = 81*m. Calculate q(t(h)).
1620*h**2
Let n(o) = -32*o. Let v(r) = -r**2. Calculate v(n(s)).
-1024*s**2
Let d(z) = -15*z**2. Let c(m) = 3*m**2 - 49. Give d(c(a)).
-135*a**4 + 4410*a**2 - 36015
Let t(v) = 14*v**2 - 32*v**2 + 26*v**2. Let d(j) = -2*j**2 + 3. Let k(u) = -5*u**2 + 7. Let r(b) = 7*d(b) - 3*k(b). Give t(r(m)).
8*m**4
Let z(m) = -2*m. Let t(k) be the second derivative of -k**4/12 - k**3/6 + k**2/2 + 3*k. Let l(h) = 4*h**2 + 6*h - 6. Let d(c) = -l(c) - 6*t(c). Give z(d(v)).
-4*v**2
Let j(w) be the third derivative of -w**4/12 - 7*w**2. Let k(x) = 4*x. Calculate j(k(q)).
-8*q
Let w(b) = -b. Let r(y) be the first derivative of y**3/3 - y - 4. Let k(m) = 2*m**2 - 1. Let x(t) =
|
{
"pile_set_name": "DM Mathematics"
}
|
(w) = -20*w + 1. What is the smallest common multiple of d(-1) and s?
252
Let a = -1542189/4 - -383351. Let t = -2182 - a. Let b = 61/25 - -487/200. Calculate the common denominator of b and t.
8
Let o(n) = 2*n**2 - 6*n - 6. Let c be 8 - 5/(10/6). Suppose -8*x + 15 = -49. What is the smallest common multiple of o(c) and x?
56
What is the common denominator of 3/(66/4) + 180861/(-55594) and (-43 + 1)*3/(-20)?
70
Let c = -96262045959952248209/1163922 - -82704894279783. Let b = c - -324/11411. Let x = b + 992/17. What is the common denominator of x and -82/33?
66
Suppose -x - 16*x = -272. What is the common denominator of 5/51 and 628/(-60) - x/(-2)?
255
Let z = -7/180 + -6743/180. Let u = 5/3017 - -141699/60340. Find the common denominator of u and z.
20
Calculate the common denominator of (-1470)/1323*(62/(-8) - (-3)/12) and 38/27937.
83811
Let v be (-1624)/87*(-2)/((-8)/(-6)). Suppose -5*c + 160 = j, -c + 5*j = v - 86. What is the lowest common multiple of c and 39?
429
Let s(p) = 3*p + 4*p - 5*p - 3*p. Let q = -5 + 27. Calculate the lowest common multiple of q and s(-6).
66
Suppose -2881*t + 2876*t = -300. Suppose 57 = r + u, -3*r - 5*u + 101 = -t. Calculate the lowest common multiple of r and 22.
682
Let n(l) = -2*l**2 - 15*l + 61. What is the common denominator of -69/1454 and n(4)?
1454
Let r(a) = 0 + 18 + a - 1 + 21. What is the least common multiple of r(-16) and -113*(-5)/(5/2)?
2486
Let m(w) = -w + 5. Let p be m(-9). Let k = 18 - p. Suppose 58*r - 240 = 46*r. What is the smallest common multiple of k and r?
20
Let u(x) = 2*x**3 - 34*x**2 + 10*x - 95. Calculate the lowest common multiple of 9 and u(17).
225
Let f(v) = 295*v**2 - v. Let w be f(-1). Suppose 0 = -3*s - 2*u - 398, 0 = 4*s + 2*u + w + 234. What is the common denominator of (8*6/s)/(2/15) and -40/11?
11
What is the common denominator of 21/440 and 300/1452 + (-70)/48 + (-64)/(-48)?
4840
Let w(y) = -72*y - 33. Let s be w(4). Let i = s + 346. Calculate the lowest common multiple of i and 65.
325
Find the common denominator of -85/21 and 3/20 + (-1)/4 + (-57875)/(-757500).
42420
Let j = -14/591 - -4585/18912. What is the common denominator of j and -7/440?
1760
Suppose 6*y + 30 = 9*y. Suppose s = 3, 3*s + 1 = 4*j - 2. What is the least common multiple of 1 + -2 + 3/(j/11) and y?
10
Let b(w) = -w**3 - 4*w**2 - 10*w - 22. Let p be b(-4). Calculate the common denominator of (-36)/p + 137/14 and -37/438.
3066
Let d = 2720 + -1857. What is the common denominator of 3 + (6/24)/((-72)/d) and 47/14?
2016
Let t(w) = 3 + 5 - 21*w + 6*w + 14*w. Suppose 4*r - 5*q - 30 + 8 = 0, 2*r - 18 = -q. Calculate the smallest common multiple of r and t(-10).
72
Let r = 4367/615 + -108/41. Let q be (5/(-25))/((-4)/20). Calculate the common denominator of r and (-2)/32*(-118)/3*q.
120
Let u = -1655 + 42999/26. Calculate the common denominator of u and 89/728.
728
Let k = 3/1751 - 47949/392224. What is the common denominator of -25/98 and k?
1568
Let r(t) = 7*t + 1. Let f be r(5). Find the common denominator of 206/f + (8 - 6) and 247/88 - ((-8)/11)/(-4).
72
Let n be -157 + -18*(-4)/12. Let a = n + 183. What is the lowest common multiple of a and 18?
288
Let z be (-999184)/30 + 46/345. Let f = -1332361/40 - z. Find the common denominator of f and (-4)/6 - (-1)/60.
40
Calculate the common denominator of -58/99 and (-418)/(-405) + 960/(-600).
891
Let o = 33273870519/50711 - 656147. Let l = o + 242867/304266. Find the common denominator of 10/3 and l.
114
Suppose 11*z = -22*z - 25080. Find the common denominator of (-3986)/z + 4/38 and 89/2.
20
Suppose 37*h - 38*h - 104 = 0. Let w = 59 + h. Let y = w + 53. Calculate the lowest common multiple of 4 and y.
8
Let a = 1/20231 + -3014515/1942176. Calculate the common denominator of -4 - (1 + -4 + 12080/(-768) + 16) and a.
96
Calculate the common denominator of -103/126 and -2 + (-2784)/(-1620) + (-1)/10.
1890
Let s(r) = -23*r**2 + 16*r + 82. Let a be s(-12). Let z = a - -20467/6. Find the common denominator of -89/8 and z.
24
Calculate the common denominator of (-761)/(-700) - 30/(-5625)*-15 and 13/2260.
15820
Let t(c) = -c**3 - 36*c**2 - c + 12. Calculate the lowest common multiple of t(-36) and 42.
336
Suppose -33077 + 13084 = -3*f - 2*v, 3*f - 19992 = -3*v. What is the smallest common multiple of 11 and f?
73315
Suppose 0 = -17*z + 8*z + 48942 + 65196. Calculate the smallest common multiple of z and 4.
25364
Let i(v) = v**2 - 19*v + 18. Let f be i(18). Calculate the smallest common multiple of 48 and -3*(f + 2)*72/(-54).
48
Let i = 2446 - 2444. What is the smallest common multiple of i and 30180?
30180
Let n = -10849 - -260369/24. Let k = -38/373 - 12433/13428. Find the common denominator of k and n.
72
Let v = 44599/55 - 811. Let l = 36621/10 + -10999/3. What is the common denominator of l and v?
330
Calculate the lowest common multiple of 44 and (1/2)/(1 + 1395/(-1398)).
10252
Let l be ((-4)/5)/(-4*2/(-80)). What is the common denominator of 53/68 and 7 + (562/(-28) - l)?
476
Let p(x) = 11*x**3 - 2*x + 1. Let j be p(1). Let y(g) = -g**2 - 1268*g - 13815. What is the smallest common multiple of 96/j - (-2)/5 and y(-11)?
60
Let g = 19302229/58423560 - 2108/6609. Find the common denominator of g and 53/3094.
61880
Let i = 4556501/39 - 116834. Let p = -10741/10 - -1075. Calculate the common denominator of p and i.
390
Let o = -
|
{
"pile_set_name": "DM Mathematics"
}
|
1851
What is 168.323144 rounded to two dps?
168.32
What is -1389046.799 rounded to the nearest one thousand?
-1389000
What is -0.00008007554 rounded to 6 dps?
-0.00008
Round -5748.59659 to the nearest 10.
-5750
What is 6480926.47 rounded to the nearest 1000000?
6000000
What is -51049.2325 rounded to the nearest 10?
-51050
Round -0.000002121478819 to seven decimal places.
-0.0000021
Round 52.7024613 to 2 decimal places.
52.7
Round -271122.7072 to the nearest 10.
-271120
Round -9362693 to the nearest 1000000.
-9000000
Round -111074.933 to the nearest 10000.
-110000
What is -20734669.213 rounded to the nearest one thousand?
-20735000
What is 2307.22949 rounded to zero decimal places?
2307
Round 125789.86 to the nearest 100.
125800
Round -0.330945614 to 2 dps.
-0.33
What is 58.34302862 rounded to two dps?
58.34
What is -0.0198433338 rounded to 4 dps?
-0.0198
Round 16646.21632 to the nearest integer.
16646
What is -4216638.981 rounded to the nearest one thousand?
-4217000
What is -694.14231 rounded to the nearest integer?
-694
What is 0.000866256892 rounded to 7 dps?
0.0008663
Round 0.58893704 to 4 decimal places.
0.5889
What is -1673641850 rounded to the nearest 1000000?
-1674000000
Round -1961.41687 to the nearest one thousand.
-2000
What is -941990360 rounded to the nearest 100000?
-942000000
What is -174.504 rounded to the nearest ten?
-170
What is -5.039108611 rounded to one decimal place?
-5
Round -4.5808862 to two decimal places.
-4.58
What is 2650.1191 rounded to the nearest one thousand?
3000
Round -5379820.5 to the nearest 100000.
-5400000
Round 35.6092176 to one decimal place.
35.6
What is 0.00521531861 rounded to three decimal places?
0.005
Round 0.227755286 to four dps.
0.2278
What is -5661.8666 rounded to the nearest 100?
-5700
What is 6015051.491 rounded to the nearest ten thousand?
6020000
What is 1593986.857 rounded to the nearest 10?
1593990
What is 17536.43931 rounded to the nearest ten?
17540
Round -17023815.42 to the nearest 10000.
-17020000
What is -6.59542942 rounded to three dps?
-6.595
Round 1.9328997 to one dp.
1.9
What is -0.000195758266 rounded to five dps?
-0.0002
What is -0.001736246503 rounded to 4 decimal places?
-0.0017
Round 1087542.1435 to the nearest one hundred thousand.
1100000
Round 0.0743249962 to five decimal places.
0.07432
What is 365.792387 rounded to 2 decimal places?
365.79
Round 3.330781327 to four dps.
3.3308
What is 6805744 rounded to the nearest one hundred thousand?
6800000
What is -670.184132 rounded to the nearest 100?
-700
Round -2211853.7 to the nearest one million.
-2000000
What is 6.2157264 rounded to three decimal places?
6.216
What is 1879444.03 rounded to the nearest one hundred thousand?
1900000
What is -35.0093575 rounded to one dp?
-35
What is -2.679620869 rounded to four dps?
-2.6796
What is 0.001384023979 rounded to 4 decimal places?
0.0014
Round 0.000315494423 to 7 dps.
0.0003155
Round -0.004338263468 to four decimal places.
-0.0043
Round -11237.870998 to zero dps.
-11238
What is -0.06992134 rounded to one decimal place?
-0.1
What is -3.6079933 rounded to three dps?
-3.608
What is 201.231654 rounded to the nearest ten?
200
What is -0.4931948009 rounded to 3 decimal places?
-0.493
What is 36.6999166 rounded to the nearest 10?
40
What is -1824621.658 rounded to the nearest one hundred?
-1824600
What is -1234217.147 rounded to the nearest 10000?
-1230000
What is 2875012.541 rounded to the nearest 100000?
2900000
What is -0.00000033877681 rounded to 7 dps?
-0.0000003
Round 2511.02415 to 1 decimal place.
2511
Round -198.19566 to the nearest 10.
-200
Round 11123.7631 to the nearest one thousand.
11000
What is -0.000053633353 rounded to six dps?
-0.000054
What is 1.295324561 rounded to 3 dps?
1.295
Round 15737061.2 to the nearest 100000.
15700000
What is 493.627548 rounded to the nearest 10?
490
What is 36518311.1 rounded to the nearest 10000?
36520000
What is 0.00274592925 rounded to 6 dps?
0.002746
What is 83.5635389 rounded to the nearest 10?
80
Round 358605.788 to the nearest one thousand.
359000
Round -0.00002630231409 to 6 dps.
-0.000026
Round 129644152.1 to the nearest 1000000.
130000000
What is -1.1594292 rounded to one decimal place?
-1.2
What is -0.0083916438 rounded to 6 decimal places?
-0.008392
What is -0.59013625 rounded to three dps?
-0.59
What is -0.00021346967698 rounded to 6 decimal places?
-0.000213
What is 0.59083587 rounded to four decimal places?
0.5908
Round 21.3235798 to 3 dps.
21.324
Round -0.00052211942 to 6 decimal places.
-0.000522
What is 0.005109981034 rounded to 5 decimal places?
0.00511
Round 5148.142955 to the nearest 10.
5150
Round 25.38342327 to one dp.
25.4
Round 0.0006160544 to five dps.
0.00062
Round -36107838870 to the nearest one million.
-36108000000
Round 0.06371223268 to three decimal places.
0.064
Round -876.348658 to the nearest 100.
-900
What is -37087.32155 rounded to the nearest integer?
-37087
Round -19862645.72 to the nearest one million.
-20000000
What is 0.0565795636 rounded to 2 decimal places?
0.06
What is -1.531302648 rounded to two dps?
-1.53
Round -786723.52 to the nearest one million.
-1000000
What is 57935885.2 rounded to the nearest 100000?
57900000
What is -0.0027036031 rounded to five decimal places?
-0.0027
What is -1781.138501 rounded to the nearest ten?
-1780
Round 10817.1 to the nearest ten thousand.
10000
Round -81357.61 to the nearest 10000.
-80000
Round 84529020100 to the nearest one million.
84529000000
What is 174.338664 rounded to one dp?
174.3
What is 57602.1105 rounded to the nearest 1000?
58000
What is -0.008102745545 rounded to five decimal places?
-0.0081
What is 73.96931 rounded to two dps?
73.97
Round -43072.4552 to the nearest 1000.
-43000
What is 4125.75627 rounded to the nearest 10?
4130
Round -0.02036124787 to 3 decimal places.
-0.02
Round 0.000040961237 to five decimal places.
0.00004
Round -108707.676 to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
2*q**5 + 7 + (-7*q**3 + 3*q**3 + 2*q**3)*(2*q**2 + q - q).
-6*q**5 - 2*q**3
Expand (-12 + 98 - 44)*(0*z + 3*z - 4*z).
-42*z
Expand -3*w + 2*w + 0*w + (-w + 0 + 0)*(0 - 2 + 0) + (5*w + 5 - 5 + 1)*(3 - 4 - 2).
-14*w - 3
Expand -10*h**2 - 19*h**3 + 10*h**2 + 4*h**3 + 2*h**3 - 3*h**3 + (h + 2*h - 5*h)*(0*h**2 + 2*h**2 + 0*h**2).
-20*h**3
Expand -4*f**5 + f**5 - 6*f**3 + 9*f**3 + (-2*f - 2*f + 5*f)*(4*f**4 - 2*f**4 + 0*f**4).
-f**5 + 3*f**3
Expand 2*t**3 + 0*t**3 + 0*t**3 + (-2*t + 5*t - t)*(-5*t**2 + 0*t**2 - 2*t**2).
-12*t**3
Expand -c + c - 2*c**2 + c**2 + 0*c**2 + 2*c**2 + (3*c - c - 3*c)*(-c + 1 - 1).
2*c**2
Expand (-h - 2*h + 2*h)*(-13 - 4 - 7).
24*h
Expand 71 + 2*m - 71 + (-3*m + 2*m + 2*m)*(6 - 1 - 3) - 2*m + m + 2*m + 2*m - m + 0*m.
6*m
Expand (-2 + 4 + 0*f - 3*f)*((-2*f + 4*f + 0*f)*(1 - 5 + 3) - 3*f + f - 3*f).
21*f**2 - 14*f
Expand -y**3 + y**2 - y**2 + (0*y - 4*y + 5*y)*(2*y**2 + 2*y**2 - 3*y**2) + 3*y**2 + 2*y**3 - 3*y**2 + 2*y + 2*y**3 - 2*y.
4*y**3
Expand 5*i**2 - 3*i**5 - 5*i**2 + (-2*i + i - i)*(6*i**4 - 2*i**4 - 2*i**4).
-7*i**5
Expand ((-1 + 2 + 1)*(-4 + 4 - 1) - 1 + 3 + 0 + (2 + 0 - 4)*(3 - 7 + 2) + 4 + 4 - 6)*(0 + 0 - 2*q).
-12*q
Expand 0*d**3 + 2*d**3 - d**3 + (-5*d + 6*d + 3*d)*(2*d**2 + d**2 - d**2).
9*d**3
Expand (2 + 4 - 3*d - 4)*(8*d - 7*d - 3*d - d**2).
3*d**3 + 4*d**2 - 4*d
Expand (2*k - 3*k + 3*k)*(-5*k - 4*k + 3*k) + (2 + 2*k - 2)*(-2*k - 2*k + 6*k).
-8*k**2
Expand -3*h + 4*h + 0*h + (1 + 0 + 1)*(15*h - 16*h + 6*h)*(-4 + 2 + 0).
-19*h
Expand (-1 + 1 - 1)*(3*z + 2*z**3 - 3*z) + (z**2 + 1 - 1)*(-z + 4*z + 0*z).
z**3
Expand (0*u**2 - 4*u**2 + 6*u**2)*(-6*u**2 + 2*u**2 + 0*u**2) + 0*u**3 + 5*u**4 + 0*u**3.
-3*u**4
Expand (-5*y + 0*y + 3*y)*(-2*y**3 - y**3 - y**3 + (0*y**2 - 2*y**2 + 4*y**2)*(-3*y - 1 + 1) + (0*y + 4*y - y)*(y**2 - 2*y**2 + 2*y**2)).
14*y**4
Expand (-5 + 6*c**5 + 5)*(-1 - 8 + 6).
-18*c**5
Expand (8*l**3 + 0*l**3 - l**3)*(-3*l + 5*l - l).
7*l**4
Expand (w - 2*w + 3*w)*(w**2 - 2*w**4 - w**2) + (4 - 3 - 2)*(2*w**5 + 3*w**4 - 3*w**4).
-6*w**5
Expand (0*s**2 - s**2 + 0*s**2)*(0 + 0 + s**2) - 36*s**4 + 10*s**4 - 36*s**4.
-63*s**4
Expand -2*w**5 - 4 + 4 + (4*w**2 - 4*w**2 + 2*w**2)*(8 - 4*w**2 - 8)*(5*w - w - 2*w).
-18*w**5
Expand (2 - 2 + 2)*(5 + 3 + 1)*(-3*s + 3*s - 2*s).
-36*s
Expand (-3*j - j - 3*j)*(-3 + 3 - 2*j)*(2 - j**3 - 2).
-14*j**5
Expand (14 - 7*o - 14)*(-6 - 5 + 5) + (-1 + 0 + 0)*(6*o - 4*o + 0*o).
40*o
Expand (5*v - v - 3*v + 6*v - 2*v - v + (2*v + 3 - 3)*(-1 + 4 - 2) + v - 3*v - v)*(-3 + 2 + 0)*(7 - 3 - 3).
-3*v
Expand (1 - 1 + 3*v)*(-4*v - 7 + 9 + 0).
-12*v**2 + 6*v
Expand (-v**3 + v**3 - v**3)*(3 + 0 - 2) - 34*v**2 - 3*v**3 + 34*v**2 + 1 + 4*v**2 - 2*v**3 - 4*v**2.
-6*v**3 + 1
Expand (8 + 3*p - 4 + 0)*(p**3 - 3*p**4 - p**3).
-9*p**5 - 12*p**4
Expand (-o + 1 - 1)*(-2*o**3 - o**2 + o**2) - 2*o**4 + 0*o**4 + 3*o**4 + (-2*o**3 + 5*o**3 - o**3)*(4 - 4 + 2*o) + 4 + 2*o**4 - 4.
9*o**4
Expand (-2*c + 1 - 1)*(-10 + 4 + 9).
-6*c
Expand (g**4 + 0*g**4 + 4*g**4)*(1 + 0*g + 2*g + 1).
10*g**5 + 10*g**4
Expand 0*j**5 - 3*j**5 - 2*j**5 + (1 + 2*j**3 - 1)*(2*j**2 - 3*j**2 - j**2) - 3*j**2 + 3*j**2 + 2*j**5.
-7*j**5
Expand (3 - 3 + f)*(f - 5*f + 6*f) - 7*f**2 + 3*f + 8*f**2 - 5*f.
3*f**2 - 2*f
Expand (-591*p**2 + 1 + 589*p**2 + 1 - 3*p)*(0*p**2 - p**2 - p**2).
4*p**4 + 6*p**3 - 4*p**2
Expand (5*w + 0*w - 3*w)*(11 - 11 + 7*w)*(-2*w + 0*w + 3*w).
14*w**3
Expand (1 - 1 - 1)*(2 + 0 - 1)*(31*t - 76*t - 12*t).
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-26017.590045
-56 - 0.0131965
-56.0131965
Calculate -8457776 - 0.042.
-8457776.042
Sum 3 and 187288198.
187288201
What is -2008 minus 0.0090818?
-2008.0090818
Calculate 2119 - 7043988.
-7041869
What is the difference between 0.51338 and -209788?
209788.51338
Sum -1 and 115383635.
115383634
-1145603 + 447
-1145156
0.08 + 15946993.2
15946993.28
What is the difference between -3432743 and -0.82?
3432742.18
14 - -45900.75
45914.75
Subtract -22.9 from -80630.
-80607.1
What is 0.5 + -206.75689?
-206.25689
What is the distance between -11.53 and 274868?
274879.53
Calculate 451905905 + 1.
451905906
Calculate 910 + -0.00934.
909.99066
What is 1039 less than -72889?
-73928
What is -4171 minus -130.5376?
-4040.4624
Add together -49972 and -1142.16.
-51114.16
Work out 710068979 + 0.4.
710068979.4
Add 211061 and -39666.
171395
-12815396124 + 1
-12815396123
8 + 4090830.1
4090838.1
Subtract -0.3 from 75792.43.
75792.73
Work out -0.6875 - -2.75198.
2.06448
What is the difference between -23.449 and -5038?
5014.551
What is 0.09131827 take away 3?
-2.90868173
What is -0.0249 take away 3944982?
-3944982.0249
Calculate 392606718 - 0.15.
392606717.85
Calculate -25.49467467 + 0.2.
-25.29467467
Work out -249322 + -806.
-250128
Work out -0.912338628 - -5.
4.087661372
What is 38898242 less than -4?
-38898246
Work out 6.9 + -41085.33.
-41078.43
What is -272385 + -0.25?
-272385.25
Total of 726.859 and -1750.2.
-1023.341
Calculate 0.68 + -1003643318.
-1003643317.32
Calculate 88425.99141 - -0.5.
88426.49141
Add together -0.071 and 743262.
743261.929
What is the difference between 1860087 and -1091.5?
1861178.5
Work out 3892159.95 + 3.
3892162.95
What is -3720784 less than 4?
3720788
Calculate 1487656 + 28735.
1516391
What is -847 - 6698161?
-6699008
Total of 10049452984 and -2.
10049452982
27578136+103
27578239
Calculate -1.2 - 534254.
-534255.2
What is -3722449830 + 3?
-3722449827
What is the difference between -806 and -1.25372?
804.74628
What is the distance between 0.06 and 38.032218?
37.972218
Total of -1 and -128.6149.
-129.6149
What is 12.417 + 0.060753?
12.477753
Add together -75771 and 434076.
358305
-7995.7 + -303562
-311557.7
-1491722+79.1
-1491642.9
What is 5785356406.6 minus -0.1?
5785356406.7
Add 0.2 and -15109489.6.
-15109489.4
387146+-31147
355999
What is 68961.79 - -17.8?
68979.59
Subtract 190 from -92683.
-92873
Work out -261419 - -183.
-261236
What is the difference between -416.304 and 54?
470.304
What is the distance between -1213710630 and -0.5?
1213710629.5
-0.0844 + 5623
5622.9156
What is 349 take away 122466.7?
-122117.7
Work out 145.258 + 489.
634.258
Calculate -0.22 + 1.1670634.
0.9470634
Subtract -2.54117 from -310.
-307.45883
What is the difference between 23.4875018 and -3.1?
26.5875018
What is 46967078 plus 363?
46967441
What is -0.520456 take away 4.3?
-4.820456
71739528+0.4
71739528.4
What is -3.2220925 plus 1109?
1105.7779075
-0.02 + -5018995
-5018995.02
Put together 1799.324388 and 7.
1806.324388
Add together 0.7 and 0.3134251505.
1.0134251505
Calculate -745 + -2711.675.
-3456.675
What is -5362104 less than -0.03?
5362103.97
What is 0.17793444 plus 1.049?
1.22693444
Subtract -1752476 from 0.12.
1752476.12
Add -1622 and -42520.
-44142
Calculate -101 - 3.76217.
-104.76217
What is -66.37730913 - -0.3?
-66.07730913
Total of 4 and -1182.377.
-1178.377
Put together -45248 and -280.
-45528
What is 21.711 less than -20.423?
-42.134
What is 0.3 less than 12588272867?
12588272866.7
Calculate -0.163560889 - 1.
-1.163560889
Subtract 0.2544595 from 16.
15.7455405
-0.2052957 + 0.0058
-0.1994957
760785+0.38149
760785.38149
Work out -910424970 - 0.4.
-910424970.4
What is -186.149 - 13?
-199.149
Sum -15.312 and -3570892.
-3570907.312
Subtract -0.3 from 1.16678923.
1.46678923
Subtract 2447846274 from 4.
-2447846270
Add together 1294639 and 29.
1294668
What is 0.03 less than -156482598?
-156482598.03
Sum 10687 and 14.04.
10701.04
380455 + -5
380450
Put together 81855 and 7.858.
81862.858
What is -45226714 less than -0.5?
45226713.5
What is -16141.1395 minus -0.5?
-16140.6395
What is the difference between -0.5 and -221407783?
221407782.5
What is the difference between 5.5888 and -24?
29.5888
What is the distance between 3.1 and -11723533?
11723536.1
Put together -3700 and -17105043.
-17108743
48.06877 - 89
-40.93123
Calculate 0.03 - -26296577.
26296577.03
What is -209116015 less than -2?
209116013
Subtract -0.035 from -3225.5922.
-3225.5572
Calculate 0.4246 - 24366.
-24365.5754
Subtract 0.2 from 28274308.
28274307.8
-3.02 + -106377
-106380.02
What is 14936358 - -293?
14936651
Put together 145137187 and 231.
14513
|
{
"pile_set_name": "DM Mathematics"
}
|
3/25. Let f = -49 + l. Is f bigger than 1?
False
Suppose -22*o = -17*o - 5. Is o greater than -1/23?
True
Let a be 2/3 - 3/3. Suppose 10*p - 7*p + 9 = 0. Which is greater: p or a?
a
Let x = 1.4 + -11.4. Let l = -10.06 - x. Which is bigger: l or -0.2?
l
Suppose 2 + 0 = -2*m. Let z = -1/498 + -155/5478. Which is bigger: z or m?
z
Let m(i) = i**2 - 5. Let r be m(2). Let s be ((-6)/16)/(13/4). Let x = s + -77/234. Is x >= r?
True
Suppose -4*w + 18 = 6. Which is bigger: w or 2?
w
Let p = -178 - -78. Let c = 701/7 + p. Is -1 < c?
True
Suppose c + 2*c + 3*w = 18, -24 = c - 5*w. Is c at least 12?
False
Let v(a) = a + 6. Let z be v(-5). Let m = 0.72 - 0.12. Let i = m - 0.5. Which is smaller: i or z?
i
Let h(p) = -2*p - 12. Let s be h(-9). Is 54/11 bigger than s?
False
Let q be (-6)/36 + (-14)/(-12). Suppose 4*m = 2*m. Which is greater: q or m?
q
Let d = 81 + -80.96. Which is smaller: 8 or d?
d
Let g = 1.3 - 0.4. Let m = g - 0.9. Which is smaller: m or 1?
m
Let q = 4.3 + -0.3. Let d = 3.8 - q. Which is greater: 1 or d?
1
Let n be (1 + -1)/(-14 + 16). Suppose n*w = 6*w + 96. Which is smaller: -17 or w?
-17
Let t be (-3345)/55 - -3 - 2/11. Which is smaller: -56 or t?
t
Let n = 8 + -3. Suppose 7*d + n = 2*d. Is d at most -2?
False
Let z = 36.63 - 35.2. Let k = 1.5 - z. Let c be ((-2)/(-25))/(1/5). Which is smaller: c or k?
k
Let f = 53 - 54. Let p = -0.5 + -2.5. Is f greater than or equal to p?
True
Let g be ((-12)/(-10))/((-12)/(-30)). Suppose 0 = g*j - 7 + 4. Which is smaller: j or -4?
-4
Suppose 0 = 2*i + 4*g + 58, -i = i + 5*g + 59. Is i greater than -26?
False
Let n = 0.24 + -0.11. Let t = n - 3.13. Let r = 51 + -151/3. Is t less than r?
True
Let g(y) = y + 5. Let z be g(-6). Let i = -9 + -11. Let s be (i/(-35))/(2*1). Do z and s have different values?
True
Let n(g) = -g**2 - 6*g. Let q be n(-6). Let w(i) = -i**3 + 3*i**2 + 5*i - 4. Let p be w(4). Are q and p equal?
True
Let u(n) = -n - 1. Let g be u(-5). Let q(i) = -i**3 + 13*i**2 - 13*i + 17. Let x be q(12). Which is bigger: x or g?
x
Let x(b) = -b**2 - 5*b - 3. Let p be x(-4). Let l be p/(-1) - (-3 - -1). Let t be 1/1 - 4/l. Which is bigger: -4 or t?
t
Suppose 6 = 3*q - 0*q. Suppose 4*a - 3*a = q. Let x be (a/(-5))/(6/(-10)). Which is smaller: x or 1?
x
Let n = -8 + 8.1. Which is greater: n or -2?
n
Let s(n) = 2*n - 2. Let u be s(2). Suppose -5*c - u = -7. Which is bigger: 0 or c?
c
Let t = -2.95 - 0.05. Let k = 3 + -1. Let w = 2 - k. Are t and w equal?
False
Let q be 2/2 + (-2 - 36/6). Is 2 smaller than q?
False
Let s(c) = -2*c**2 - 2*c - 1. Let f be s(-1). Which is greater: f or -2?
f
Let q be (-8)/40 + (-2)/(-10). Which is bigger: 1/8 or q?
1/8
Suppose 0 = -m - 3*k + 4*k + 7, 0 = -2*m + 4*k + 24. Which is smaller: m or 0.3?
0.3
Let a = 204 - 178. Which is smaller: 28 or a?
a
Let j be 92/(-9) + 4/18. Is -9 bigger than j?
True
Let u = -399/10 - -23581/590. Let o = -31/413 - u. Which is smaller: -2/5 or o?
-2/5
Let r = -14 + 21. Suppose -b - 3*n = n + r, 5*n + 7 = -3*b. Is b bigger than 2/27?
True
Suppose 5*z + 21 = 12*c - 13*c, -c = -3*z - 19. Are z and -5 equal?
True
Let l = -3.07 - -0.07. Let m = l - -8. Which is greater: 0.2 or m?
m
Let l = -7.14 + 0.14. Let r = l + 10. Which is smaller: -2/3 or r?
-2/3
Let d(n) = n - 8. Let f be d(10). Which is greater: 3 or f?
3
Let o(d) = d**3 - d**2 - d + 4. Let t be o(0). Let n = t - 9. Which is smaller: n or -4?
n
Let m = 0.04 + 0.06. Is m at least -1?
True
Let x = -169 + 169. Suppose 3*k - 9 = -2*y + 3*y, 2*k - 6 = -3*y. Suppose y = -n + 4*n - 3. Which is smaller: x or n?
x
Suppose w = -3*g + 37, -4*g = g - 4*w - 73. Do 13 and g have the same value?
True
Let w be (1 + 0)/((-1)/3). Let c be (-1 + 0)*(-3)/w. Is c greater than 0?
False
Suppose 4*f - 18 = -2*t, -f + 5 = -6*f + 3*t. Suppose -4*s - 24 = 2*c + f*c, -5*s - 40 = -5*c. Is s <= -7?
True
Suppose 3*n + 9 = -2*r - 2, 5*r = 5*n - 15. Let s be -4 + -1*(2 - 2). Are r and s equal?
True
Let i be 0*(26/(-8) + 3). Which is greater: -2/55 or i?
i
Suppose 2 = -3*v - 4. Let h be (-78)/28 - v/7. Which is greater: -4 or h?
h
Let f = 0 - 0.04. Let m = f - 0.04. Let g = m - 0.02. Which is bigger: g or 0?
0
Let c = -13 - -11. Which is bigger: c or 0.4?
0.4
Suppose 5*n - 2*a - 4 = 0, -2*n + 5*a + 10 = -3*n. Suppose n*c + 3*c = 24. Suppose -4*z - c = -2*z. Which is bigger: z or -5?
z
Let b be 5/(3 - 6 - -4). Suppose b = 2*o - 3. Which is smaller: o or 6?
o
Let l = -1274/5 - -50
|
{
"pile_set_name": "DM Mathematics"
}
|
0*n**5 + 105*n**2 - 166*n - 2/5*n**6. What is the derivative of h(z) wrt z?
-48*z**3 - 6
Let s = -23 - -56. Suppose -8*i + 6*i = -4*z, 3*i + 5*z - 22 = 0. Find the first derivative of 9 + s*d**2 - 14*d**2 - 19*d**2 - 8*d**i wrt d.
-32*d**3
Let d = -184 + 210. Find the second derivative of 13*p**5 - d*p + 29*p**2 - 26*p**2 + 45 - 45 wrt p.
260*p**3 + 6
Let p(b) = 2*b**3 + 27*b**2 + 31*b - 28. Let u be p(-12). Suppose 2*m - 4488 = m. Find the second derivative of -m + 18*j**4 + u*j + 4488 wrt j.
216*j**2
Let a(c) be the second derivative of -7/6*c**3 - 1/10*c**5 + 0*c**2 - 141*c + 1/3*c**4 - 17/10*c**6 + 0. Find the third derivative of a(q) wrt q.
-1224*q - 12
Let w(g) be the third derivative of 3679*g**5/60 + 247*g**4/3 + g**3/6 + 1177*g**2. Find the second derivative of w(y) wrt y.
7358
Let u(k) = 3*k - 1931 + k + 3*k - 477*k**2 + 1604. Let g(m) = 159*m**2 - 2*m + 109. Let h(x) = 7*g(x) + 2*u(x). Differentiate h(s) with respect to s.
318*s
Find the second derivative of 20 - 11729*h**2 - 1315*h - 20 - 413*h**2 + 3959*h wrt h.
-24284
Let n = 33 - 31. Find the second derivative of n - 22*t**2 + 35*t**2 + 28*t**2 + 3*t - 4*t wrt t.
82
What is the second derivative of 78 - 871 + 793 - 5136*x + 9667*x**5 wrt x?
193340*x**3
Suppose 0*b - 4*b - 273 = -5*o, -4*o + b = -225. Find the third derivative of o*p**3 + 0*p**3 + 19*p**2 + 46*p**2 - p**3 wrt p.
336
Let f be (-321)/963*0/(-1). Let j(l) be the second derivative of f*l**4 - 3*l + l**5 + 0 + 23/2*l**2 + 0*l**3. Differentiate j(s) wrt s.
60*s**2
What is the third derivative of -225*z**3 - 426*z**3 - 644*z**2 + 56*z**2 - 52*z**2 - 170*z**2 wrt z?
-3906
Differentiate -12*v**3 + 201 + 253 + 24*v**3 + 20*v**2 - 4*v**3 + 307 with respect to v.
24*v**2 + 40*v
Let t(q) = -4514*q**2 + 34*q + 40390. Let c(f) = 645*f**2 - 5*f - 5769. Let j(x) = -27*c(x) - 4*t(x). What is the derivative of j(d) wrt d?
1282*d - 1
Let s = 32 + -44. Let r be (-16)/s*162/2. What is the first derivative of -23 - r*a**3 + 7 + 118*a**3 wrt a?
30*a**2
Let z be (8 + 198/(-45))/((-6)/(-200)). Find the second derivative of z*s**3 - 49*s + 76*s**3 - 10*s + 5*s wrt s.
1176*s
Let b be ((-330)/50)/((-3)/75). Differentiate 24*y + 24*y + b + 7*y**3 - 65*y + 22*y wrt y.
21*y**2 + 5
Let i = 105 - 93. Suppose 0 = -7*b + 6*b + i. Find the third derivative of -4*m**2 - b*m**3 - m + 8*m - 5*m wrt m.
-72
Let z = 77 + -68. Let i(w) be the first derivative of 25*w**2 - 16 + 31 - 28*w - z. What is the derivative of i(h) wrt h?
50
Find the first derivative of 2270 + 2552*q**3 - 1416 + 2123*q**3 wrt q.
14025*q**2
Let l(y) = y**2 - 18*y - 23. Let j be l(19). Let t(i) = -7*i - 12. Let m be t(j). Differentiate -8 - 10 + m*a + 2 with respect to a.
16
Let x(y) = -1623*y**2 + 7*y - 316. Let c(v) = -3243*v**2 + 15*v - 633. Let j(a) = -6*c(a) + 13*x(a). What is the second derivative of j(u) wrt u?
-3282
Suppose 19 = x + 2*n, 10*n + 43 = 4*x + 7*n. Find the second derivative of -x + 50 - 130*l**5 - 9*l**5 - l wrt l.
-2780*l**3
Find the first derivative of -3*r**3 + 2*r**3 + 331*r**4 - 41686 + 43155 + r**3 wrt r.
1324*r**3
Differentiate -3777*m**4 - 3775*m**4 + 7535*m**4 + 3829 + 5*m - 441 wrt m.
-68*m**3 + 5
Let y(m) = 7548*m + 6627. Let b(q) = 3770*q + 3313. Let v(k) = 7*b(k) - 4*y(k). What is the derivative of v(n) wrt n?
-3802
Let d be (5 + -95)*1/(-2). Find the second derivative of 5*u**3 - 31*u**3 - 3*u - 16 + 27*u**3 + d*u**2 wrt u.
6*u + 90
Let k(s) = 3*s + 0*s + 8*s + 29*s**2 + 13 + 12*s. Let n(d) = -5*d**2 - 4*d - 2. Let l(g) = 6*k(g) + 34*n(g). What is the second derivative of l(a) wrt a?
8
Suppose -7*i - 544 = -558. Find the third derivative of 22*c**2 - 206*c**i + 12*c**2 + 2*c**5 + 7*c**3 wrt c.
120*c**2 + 42
Let l = 6/10777 - -10741/64662. Let z(a) be the third derivative of 0 - 6*a**2 - 7/6*a**4 + l*a**3 + 0*a. Find the first derivative of z(m) wrt m.
-28
Let u(k) = -12*k - 28. Let r be u(-3). Let w(p) = p**3 - 5*p**2 - 6*p + 8. Let t be w(6). What is the first derivative of 22*h**2 - t*h + 13 + 0*h + r*h wrt h?
44*h
Suppose 5*p + i = 20, -2*p + 15 = 2*i - 3*i. Suppose 0 = p*s - 0*s - 115. What is the derivative of 2*l - 5 + 8*l + s*l**2 - 10*l wrt l?
46*l
Let w(q) be the third derivative of 65*q**6/4 - q**5/30 - 2815*q**4/24 - 5*q**2 - 40. What is the second derivative of w(h) wrt h?
11700*h - 4
Find the third derivative of -5*d**4 - 6*d + 4*d - 49 + 15*d**3 + 172*d**2 - d + 48 + 5*d - 38*d
|
{
"pile_set_name": "DM Mathematics"
}
|
20/61568)/((-10)/4)
-11/16
Evaluate (-2)/(-364)*85*742/13515.
1/39
Calculate ((-2)/3)/(826/1062*42).
-1/49
Evaluate -196*(413/(-4543))/((-8)/(-22)).
49
((-2)/(-378)*18)/(4*(-3)/18)
-1/7
What is ((-1)/10*-4)/((-8288)/290080)?
-14
Evaluate 71/(3124/(-66))*-39*(-8)/18.
-26
Evaluate -165*5/(-175)*(-5)/(5/(-7)).
33
(6/(-9))/(57625/1383)
-2/125
Calculate (275/75)/((-528)/(-7776)).
54
What is (-1*2)/((4/8)/((-986)/232))?
17
Calculate ((-732)/(-305))/((-32)/360).
-27
Calculate (8*5)/(((-4165)/(-294))/(-17)).
-48
What is (8/140)/((1595/(-17864))/(((-2)/(-8))/1))?
-4/25
What is (77/(2926/3420))/2?
45
Calculate (297/66)/((-18)/10)*656/(-20).
82
What is the value of 1/((-423)/1598*(-51)/9)?
2/3
What is the value of ((-4)/48*-4)/((-2)/24*2/(-36))?
72
What is the value of 13/(312/(-54))*27/(12393/36)?
-3/17
126/126*((-32)/4)/72
-1/9
What is the value of ((-480)/1500)/(72*(-31)/620)?
4/45
(10/(-12))/(13095/6984*(-8)/(-186))
-31/3
-49*-13*1012/8372
77
Calculate (-14*7/196)/((-245)/(-40)*2).
-2/49
Calculate ((-5)/12)/(-1495*(-88)/(-12144)).
1/26
Evaluate (-168)/(-24)*(2/(-6))/(28/432)*2.
-72
Evaluate ((-1327)/18578)/(15/(-28)).
2/15
What is 43/((-2451)/396)*(-494)/(-52)?
-66
Evaluate 22/(-18)*15*(-939)/(-4695).
-11/3
-30*((-42)/(-140)*(-20)/(-30))/((-4)/68)
102
What is the value of ((3/64)/(198/(-44)))/((330/40)/(-33))?
1/24
Calculate (4/16*7/(63/120))/(12925/201630).
52
Calculate 2*(18/(-144))/((-9)/936).
26
Calculate ((-1)/1)/(((-75)/(-275))/((-33)/(-242))).
-1/2
What is the value of ((-2)/(-3))/(184/(-18)*429/286)?
-1/23
What is the value of (-54)/(-468)*(-11)/4*5928/(-836)?
9/4
What is the value of (61/(244/(-72)))/(7/(28/(-30)))?
12/5
Calculate (-1000)/600*(148/25)/((-30)/(-225)).
-74
(1*2)/(4443/173277)
78
Calculate ((9/(-12))/((-90)/120))/((-39)/(-156)).
4
Calculate ((364/(-112))/((-3)/27*3))/(2/(-8)).
-39
What is the value of (-296*(-384)/1326080)/((-10)/(-56))?
12/25
What is 24/(-22)*(-4026)/(-244)*(-55)/15?
66
What is the value of ((-30)/2820)/((-21)/223062)?
113
What is the value of ((-5115)/(-715))/((-300)/(-2600))?
62
Evaluate ((-2)/(-20))/(28/21)*46/207.
1/60
What is (300/6)/(100/(-50))?
-25
Calculate ((-64)/(-224)*-14)/(4/(28/7)).
-4
What is the value of (-40600)/(-290)*2/((-24)/3)?
-35
Calculate 31044/1990*(-10)/9*(540/8)/15.
-78
Evaluate ((-17)/(-10))/((-54)/20520*38).
-17
98670/108537*(-528)/(-10)
48
What is the value of 5/((-595)/63)*(-169)/(4225/50)?
18/17
((-18)/10*(-32)/168)/((-104)/260)
-6/7
(-18)/(-5)*(-33)/286*650/390
-9/13
What is -25*2/(-30)*((-3450)/625)/(5/(-25))?
46
Calculate ((-24304)/168)/(-62)*(-6)/469.
-2/67
1225/(-1300)*(576/(-42))/12
14/13
18/((1/((-64)/(-96)))/(5/(-2)))
-30
(8/(-4)*22/(-16))/(((-10912)/64)/(-31))
1/2
(106/265)/(30/(-750)*(-10)/88)
88
Evaluate 36/((-14904)/(-69))*18/4.
3/4
(6/324*-6)/((-434)/(-74214))
-19
Calculate (1/4)/((-1)/(-266)*63*(-62)/1116).
-19
Calculate (12/20)/((-22)/660).
-18
Calculate (-68)/2176*48*2/(-50).
3/50
Evaluate (1/2)/(-1305*(-26)/(-936)).
-2/145
Calculate (-10)/(-6)*(-143)/((-5511220)/1128).
2/41
What is ((-5)/(-455)*104)/(-92*(-3)/42)?
4/23
Evaluate 45/50*((-2)/4)/(99/(-22)).
1/10
Calculate (-42)/(-868)*31*(-8)/(144/15).
-5/4
Evaluate 12/(-846)*54/72*12*4/(-6).
4/47
Evaluate (72/((-13176)/305))/((-16)/(-12)*10/(-192)).
24
Calculate (84/(-7749))/(-3*((-28)/63)/((-2)/1)).
2/123
(-51)/(-204)*-28*135/15
-63
((-12474)/(-63))/99*2/402*-1
-2/201
What is the value of ((24/2)/((-60)/(-16)))/((-46)/(51750/45))?
-80
What is 9/2220*(-248)/372*(-4)/(-1)?
-2/185
Calculate (-3)/(-8)*(-15476512)/(-69924).
83
Calculate ((-69)/(-13248))/((-129)/(-34056)).
11/8
What is the value of 3/(-152)*1*((-82)/4)/((-5207)/508)?
-3/76
What is the value of 28/(-12)*9180/(-5796)*-23?
-85
Calculate (1*4)/(((-15)/(495/44))/((-64)/(-5088))).
-2/53
What is 1592/(-1194)*24/(-656)?
2/41
Evaluate (((-3360)/(-200))/(-14))/(42/(-7)).
1/5
-12*(20/14)/(-5)*41/(-328)
-3/7
What is (29*-1)/(-23*(-80)/(-16560))*1/(-3)?
-87
Calculate ((-23)/253*-22)/((-2)/(-1)*(-7)/(-203)).
29
What is (-539)/22*2*2/(-42)*(-666)/(-37)?
42
((-258)/(-86))/(((-2)/((-32)/(-36)))/(-24))
32
Evaluate ((-45)/5)/9*11/33*-171.
57
((-845)/507*(-18)/(-40))/(-2*276/(-64))
-2/23
-4*(-1)/8*(3/351)/(429/3718)
1/27
What is 1214/3035*(-5)/(-10)?
1/5
What is (2838/(-1720))/((-237)/395)?
11/4
What is (66/(-231))/((-99)/(-924))?
-8/3
((-75)/(-40))/(14/(504/81))*224/42
40/9
Calculate (-144)/15*2040/(-120768).
6/37
What is the value of (-68)/(-17)*(550/(-225))/(2/(-18))?
88
Calculate (243/(-99))/(8/440*-5).
27
What is (90/24)/((-4)/(-6)*3*9/(-144))?
-30
Evaluate ((-148)/666)/((-4)/18)*(-165)/25.
-33/5
Calculate ((-1548)/1584)/((-24)/1056).
43
What is (-8)/3*(-100)/4*667/6670?
20/3
What is 25*(5/(-45))/((-200)/(-720))?
-10
What is the value of 8/(1560/6201)*20*2/96?
53/4
63210/(-8428)*(56/10)/(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 20 = -4*s - h, 0*h + 22 = -3*s + h. Let n = s - -1. Let q(j) = j. Give q(n).
-5
Let c(f) = 3*f. Suppose 0 = -7*s - 10 - 4. Give c(s).
-6
Let q(t) be the second derivative of -5/2*t**2 + 1/3*t**4 + 1/6*t**3 - 2*t + 0 - 1/20*t**5. Determine q(4).
-1
Let g = -14 + 10. Let r(u) = -5*u**2 - 6*u - 3. Let z(i) = 4*i**2 + 6*i + 2. Let m(l) = g*z(l) - 3*r(l). Calculate m(-4).
9
Suppose 0 = 5*y + 20, -x - 5*y = -5 + 21. Let h(q) be the first derivative of -q**2/2 - 17. Determine h(x).
-4
Let d be (-8)/12 + 8/3. Let m(n) = -2*n**2 - d*n + n + 7*n**2 + 1. Give m(1).
5
Let o be 2/(1/4*2). Suppose -3*m - 2*d - 2 = 0, -1 = -5*m - o*d - 5. Let z(g) = g**2 + 1. Let u(n) = n**3 + 2*n**2 - n. Let p(h) = u(h) - z(h). What is p(m)?
-1
Let j be (33/9 - 2)*3. Let n(c) = c**2 - 1 + 3 + j*c - c. Suppose 2*i + 8 = q, 3*i + 16 = -3*q - 5. What is n(i)?
7
Let o(b) = 2*b**2 + 13*b - 21. Let h be o(-8). Let u(p) = p**2 - 3*p - 3. Determine u(h).
-3
Suppose 5*t = 5*f - 10, 5*f - 3*t - 8 = -0*t. Let o(r) = 12*r**3 + r**2. Calculate o(f).
13
Let h(d) = -5*d + 1. Let g(p) = -p. Let n(i) = -6*g(i) + h(i). Suppose -5*j + 16 = 1. Let f(t) = 3*t - 4. Let s be f(j). Calculate n(s).
6
Suppose z + z - 6 = 0. Let n(i) = i - z*i + 7 + 5*i - 6. Give n(-2).
-5
Let q(b) = b**3 - 4*b**2 - 3*b + 4. Let r(w) = w**2 + 2*w - 20. Let z be r(-6). Determine q(z).
-8
Let m(i) = i**2 - 8*i + 12. Let f be m(5). Let y(g) = -g**3 - 4*g**2 - 2*g. Calculate y(f).
-3
Let b(w) = -w - 2. Suppose 5*f + 0*f = -2*r + 16, 4*r + f = 14. Suppose -4*o + 16 = -o + 5*g, 0 = 5*o + r*g. What is b(o)?
1
Let y(s) = -s - 5. Let b be y(-5). Let r be b/2*2/(-4). Let q(v) = v + 6. Give q(r).
6
Let y(r) = -2*r + 15. Let c(h) = 3*h - 22. Let s(i) = 5*c(i) + 7*y(i). What is s(6)?
1
Let s(l) = l**2 + 3*l + 3. Suppose 35 - 5 = 5*i. Let y be (-10)/(-30) - (-5)/3. Suppose 0 = 4*b - y*b + i. Determine s(b).
3
Let m(o) = -o + 8. Suppose -5*l = -2*l. Let q be m(l). Let p(f) = f**3 + 2*f**2 - 3*f**2 + f + q*f**3. What is p(1)?
9
Let f be 1 - 1 - (0 - 1). Suppose 2*j = 11 - f. Let y(q) = -q + 10. Determine y(j).
5
Let u = 46 + -38. Let d(l) = 2*l - 10. Determine d(u).
6
Suppose -6*x - 12 = -10*x. Let c(v) be the first derivative of v**4/4 - v**2/2 - 1. Let j(t) = 6*t**3 - 2*t**2 - 9*t + 4. Let m(y) = 5*c(y) - j(y). Give m(x).
-1
Let h(c) = 3*c**3 + c**2 - 12*c - 4. Let t(r) = -2*r**3 - r**2 + 8*r + 3. Let l(y) = 5*h(y) + 8*t(y). Let p be 2/(-8) - 11/4. Calculate l(p).
-8
Let o(f) be the first derivative of f**3/3 + 2*f**2 + 2*f + 8. What is o(-4)?
2
Let y(c) = c - 3. Let j = -5 - 26. Let t = j - -15. Let k be (t/6)/((-4)/6). What is y(k)?
1
Let p(r) = -r**2 + 3*r + 4. Let m = -23 - -20. Give p(m).
-14
Suppose 2*k - 5 = -1. Let y(v) = -2 - 3 - k + v. What is y(5)?
-2
Let w(r) = -r - 11. Let h be w(-14). Let g(x) = 10 + 4*x - 6*x - h. Give g(6).
-5
Let a(w) be the third derivative of w**4/24 - 13*w**2. Give a(-2).
-2
Let j(w) = 2 + w**2 + 2*w - w + 1. Let r be (0/((-4)/(-2)))/(-2). Suppose i + 2 = r, -3*y = y + 4*i + 8. Determine j(y).
3
Suppose -3*i - i = -12. Let q(h) be the first derivative of -h**4/4 + 2*h**3/3 + h**2/2 + 2*h + 9. What is q(i)?
-4
Suppose 5*w + 5*n = 2*w - 18, 0 = 4*w + 4*n + 24. Let o(d) = -2*d - 9. What is o(w)?
3
Let r(h) = -2*h**3 + h**2 - 7*h + 2. Let v(g) = -g**3 + g**2 - g + 1. Let c(k) = -r(k) + 3*v(k). Let x = 4 + 10. Suppose -3*w + x - 5 = 0. Give c(w).
4
Let o = -7 + 13. Let t(a) = -a - 4 + 3 - a**2 + o. Let v = -13 - -9. Give t(v).
-7
Let p be (8/(-3))/(3/(-9)). Let j(s) = p*s - 5*s**3 + 3*s**3 - 14*s**2 - s**3 - 17. Let k(v) = -v**3 - 5*v**2 + 3*v - 6. Let t(n) = 4*j(n) - 11*k(n). Give t(0).
-2
Let d(y) be the second derivative of 1/3*y**3 + y - 1/12*y**4 + 0 - 1/2*y**2. Give d(2).
-1
Suppose 0 = k + 2*x - 2, -3*k - x - 12 = -4*x. Let m(z) = -4*z - 7 + 4 - z**2 - 5. Let h(g) =
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of 4 - 16 - 13*l**y + 12 - 14*l**2 wrt l?
-312*l
Let m be 3*(1 - (-2)/(-6)) - -309. Find the first derivative of m*v**4 + 58*v**4 - 147*v**4 + 130 wrt v.
888*v**3
Let f(a) be the third derivative of -349*a**7/105 + 193*a**5/60 + a**4/4 - 110*a**2 + 3*a. Find the third derivative of f(d) wrt d.
-16752*d
Suppose 2*c + 2702 = 16*c. Find the first derivative of c + 436*m**2 + 439*m**2 - 869*m**2 + 3*m wrt m.
12*m + 3
Let w(s) = -1. Let q(i) = 5*i - 8. Let z(v) = q(v) - 5*w(v). Let c be z(1). Find the first derivative of -22*k**c + 18 - 28*k + 28*k wrt k.
-44*k
Let y(o) be the first derivative of 92/3*o**3 + 2/5*o**5 + 70 - 6*o + 0*o**4 + 0*o**2. Differentiate y(x) wrt x.
8*x**3 + 184*x
Let g be -1 - (-2 - -3) - (2 - 8). Suppose 3*r + 3*f - 8 + 2 = 0, -g = -2*r - 4*f. What is the derivative of -44*x - 2*x**2 + 25*x + 5*x**r + 20*x + 7 wrt x?
6*x + 1
Let v = 48 + -46. What is the third derivative of 2*d**4 - 1 - 2*d**2 + v*d**4 + 3*d**4 - 8*d**4 wrt d?
-24*d
Suppose 4*b - 456 = -4*v, 10 + 15 = 5*b. Let w = v - 106. Find the third derivative of -32*u**2 - 40*u**3 + w*u**2 + 5*u**2 wrt u.
-240
Let m be (-186)/31 + (8 - 2). Let s(o) be the first derivative of 4 - 29/4*o**4 + 0*o**3 - 11*o + m*o**2. What is the derivative of s(x) wrt x?
-87*x**2
Let r(n) = -69*n**2 + 4*n + 26. Let o(c) = 13 + 3*c - 215*c**2 - 306*c**2 + 12 + 452*c**2. Let t(w) = -4*o(w) + 3*r(w). Differentiate t(b) with respect to b.
138*b
Let a(q) be the second derivative of 118/3*q**3 + 0 + 30*q**2 + 100*q. Find the first derivative of a(i) wrt i.
236
Let f(j) be the second derivative of -317*j**5/5 + 1887*j**2/2 + 21*j + 34. Differentiate f(b) with respect to b.
-3804*b**2
Suppose 21*s - 4 = 59. Find the first derivative of 412*o - 189*o - 3 - 161 - 200*o - o**s wrt o.
-3*o**2 + 23
Let i = -327 + 330. Find the first derivative of 71 - 16*v**2 + 5*v + i*v**2 + 21 + 164 + 4*v**2 wrt v.
-18*v + 5
Suppose 20 = 2*j + 3*w, -2*w + 25 + 15 = 4*j. What is the second derivative of h**5 + 2 - 41*h + j*h**3 + 75*h - 32*h wrt h?
20*h**3 + 60*h
Suppose -z + 23 = b - 21, 5*z = -b + 224. What is the second derivative of 19*i**3 + 9*i**3 + 28*i**3 + 18*i**3 + z*i wrt i?
444*i
Suppose 0 = -9*t + 4*t + 440. Let c = t + -83. Find the second derivative of -27*i**4 + 27*i**c + 27*i**4 - 7*i - 3*i wrt i.
540*i**3
Let d(t) = t**3 - 10*t**2 + 8*t + 14. Let p be d(9). What is the derivative of 211*v - p + 36 + 139 - 9*v wrt v?
202
Let r(s) = 18*s**3 - 2*s**2 + 4*s - 2. Let a be r(1). What is the second derivative of a*c**3 - 2 + 20*c + 28*c - 91*c + 19*c wrt c?
108*c
Let c(z) be the second derivative of -3265*z**4/6 - 3682*z**2 + 4020*z. Differentiate c(j) with respect to j.
-13060*j
Let r(t) be the third derivative of 2107*t**5/60 - 499*t**4/4 - t**2 + 1507*t. What is the second derivative of r(o) wrt o?
4214
Let f be -19 - 16/(-6 - -2). Let w be (35/f - -3)/((-2)/(-24)). What is the second derivative of -10*i + 12*i - 25*i + w*i**3 wrt i?
48*i
Let t = -14 + 56. Suppose t*u + 6 = 44*u. What is the derivative of -16 - 12 - u + 4 + 27*p**2 wrt p?
54*p
Find the second derivative of -435 + 2*l + 28*l**4 - 43 + 858*l**4 + 138*l**4 + 247*l**4 wrt l.
15252*l**2
Let m(q) = -4*q + 26. Let n be m(6). What is the second derivative of n*b + 44 - 4*b**3 + 12*b**3 + 43 + 2*b**4 - 85 wrt b?
24*b**2 + 48*b
Find the third derivative of 15*w + 58*w**3 + 16*w**6 - 18*w**2 - 3*w**6 + 58*w**3 - 115*w**3 - 4*w wrt w.
1560*w**3 + 6
Let a(h) = 85*h - 13. Let m be a(1). Differentiate -28*i**4 + 80*i**4 + m*i**4 + 49*i**4 + 208 + 31*i**4 wrt i.
816*i**3
Let o be (-10)/35*(-14 + 0). Find the third derivative of 9*y**o + y**2 - 5*y**4 - 15*y**4 - 6*y**5 + 1 wrt y.
-360*y**2 - 264*y
Let k(u) = u**3 + 19*u**2 + 18*u + 2. Let d be k(-18). Suppose -d*x + 7 = 1. What is the third derivative of l**3 + 13*l**3 - 20*l**2 - 23*l**x wrt l?
-54
Find the first derivative of -5015*t**2 + 2163 - 3216*t**2 - 2215 + 2043 + 2113 wrt t.
-16462*t
Let d(q) = 65*q**2 + 15*q - 874. Let c(v) = -v**2 + 2*v + 15. Let w(u) = -6*c(u) + d(u). Differentiate w(b) with respect to b.
142*b + 3
Let x(g) be the second derivative of -778*g**7/21 - 1661*g**4/12 + 6*g - 42. Find the third derivative of x(k) wrt k.
-93360*k**2
Let g(p) = p**2 + 6. Suppose -7*q + 9 - 58 = 0. Let z be g(q). Find the second derivative of -55 + z - 11*m**2 + 5*m wrt m.
-22
Let d(l) = 19*l + 79. Let j(i) = -55*i - 236. Let r be 7*2/((-12)/6). Let g(h) = r*d(h) -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let s = h + 44. Does 6 divide s?
True
Suppose -3*u + 5*s + 1787 = 0, -4*u - 4*s + 559 = -1781. Suppose 2*q = g + u, -q + 0*g = 3*g - 305. Does 11 divide q?
False
Let n(i) = -26*i + 207. Is 6 a factor of n(7)?
False
Let m(q) = -128*q - 3. Is 12 a factor of m(-1)?
False
Suppose -5*c + 7*w + 591 = 4*w, 3*c - 4*w = 348. Is 8 a factor of c?
True
Let n = -5 + 3. Let z(i) = -3 - 14*i - 1 + 3. Is z(n) a multiple of 27?
True
Let s = 5 - 6. Let d(q) = 3*q**2 + 2*q**2 + 2*q**2 + q + q**2 + 2. Does 5 divide d(s)?
False
Let u(b) = -2*b**2 - 16*b + 20. Does 11 divide u(-6)?
True
Let z(n) = -n - 1. Let c(d) = 2*d + 59. Let j(i) = c(i) + 3*z(i). Does 34 divide j(22)?
True
Does 13 divide 8/22*146685/210?
False
Suppose 2*w + p - 2623 = 0, 91*p - 88*p = -w + 1314. Is w a multiple of 11?
False
Let a(b) = 3 - b**2 + 6*b + 3*b**2 - 4*b. Is a(3) a multiple of 27?
True
Let t(h) = -h**2 + 7*h. Let p be t(6). Suppose -n = -p*n. Suppose 3*f - 384 + 102 = n. Does 28 divide f?
False
Suppose -7*g - 4*r - 1484 = -9*g, -4*g = 3*r - 2957. Is 70 a factor of g?
False
Suppose 0 = 3*n + n. Suppose -2*a + 2*d = -7*a + 28, n = 2*a + 5*d - 7. Is a a multiple of 4?
False
Let t(f) = -f**2 - 10*f - 9. Let l be t(-8). Let y be ((-4)/l)/(10/(-35)). Let s = 6 + y. Is 3 a factor of s?
False
Let c(z) = 11*z - 3. Let n = -47 + 52. Is 7 a factor of c(n)?
False
Let o be 4/14 - (-656)/56. Let s be (28/3)/(4/o). Suppose 3*j - 188 = s. Does 18 divide j?
True
Suppose 16 = i - 2*q, -4*q + 39 = -3*i + 91. Is 3 a factor of i?
False
Suppose 4*j = 3*i - 724, -5*i = -j - 1644 + 409. Is i a multiple of 8?
True
Let j = 2788 + -214. Does 11 divide j?
True
Let n(a) = a**2 + a + 175. Does 35 divide n(0)?
True
Suppose -3*d + 76 = -104. Suppose p - 274 = -4*h, 2*h + 4*p - 70 = d. Is 33 a factor of h?
False
Suppose -55 = -5*q - 3*t, -3*q - t + 18 = -11. Suppose -q = -4*j, 0*o = 4*o - 4*j - 172. Does 15 divide o?
True
Let r(o) = 6*o**2 + 15*o + 26. Is r(-8) a multiple of 3?
False
Suppose w = -2*x + 208, -3*x + 4*x - 122 = 4*w. Suppose x = 2*a - 70. Is a a multiple of 13?
False
Suppose 3*l = -p + 32, -4*l + 24 = -5*p - 6. Suppose -r - r = -l. Suppose -r*t + 2*t + 72 = 0. Does 6 divide t?
True
Let x(h) = 3*h**2 - 3*h - 22. Is 11 a factor of x(-7)?
False
Let w = 2078 + -542. Is 24 a factor of w?
True
Is 29 a factor of (-1285)/(-2) - 18/4?
True
Suppose -22948 - 37469 = -49*a. Is a a multiple of 96?
False
Suppose -31*u + 78182 = -5*u. Does 37 divide u?
False
Let v(c) = -c**3 + 7*c**2 + 2*c. Let o(k) = -3*k - 12. Let m be o(-6). Let n be v(m). Let l = n - 28. Is 7 a factor of l?
False
Let r(g) = 6 - 2*g + 2*g**2 + g + 13*g - 4*g. Does 14 divide r(4)?
True
Suppose -128 = -v + 27. Let d = 248 - v. Is 21 a factor of d?
False
Let z(g) = -3*g**3 + 55*g**2 - 14*g + 56. Is z(18) a multiple of 8?
True
Let t = 3 + 2. Suppose 0 = t*z + 3 + 27. Is 33 a factor of (3 - (-20)/z)*-195?
False
Does 34 divide (1/((-6)/(-26)))/(2/264)?
False
Let u be ((-2)/(-3))/(2/9). Suppose -u*z + 153 + 16 = 2*a, z = 5*a - 397. Suppose 4*b + 4*g = a, 2*b - 3*g = 53 + 7. Does 7 divide b?
False
Suppose 3*i + 105 = y, 6*y - 480 = 2*y - 3*i. Suppose -245 + y = -4*n. Is 8 a factor of n?
True
Is 16 a factor of (-54)/36 - 2/4*-451?
True
Let t be 10 - 11 - 18/(-2). Suppose n = t*n - 630. Suppose 10 = -2*f + n. Does 11 divide f?
False
Suppose -275 = -4*t + 5*q, t + 0*q + 3*q = 73. Does 21 divide (588/t)/(4/10)?
True
Suppose -9*p + 12*p = -2*s + 774, 2*s - 764 = 2*p. Is 24 a factor of s?
True
Let t(r) = -3*r**3 + 14*r**2 + 8*r - 17. Let j be t(5). Let o be (28/2)/((-2)/(-1)). Let a = o + j. Is 5 a factor of a?
True
Suppose 5*c = 147 + 128. Suppose 0 = 3*l + 4*i - 41, -c = -5*l + l - 5*i. Is l a multiple of 10?
False
Let x(s) = 124*s**2 + 5*s - 10. Is 7 a factor of x(-3)?
False
Suppose -3*y = -3, -3*y - y + 3854 = 5*s. Is 11 a factor of s?
True
Let w = 1375 + 1021. Is 11 a factor of w?
False
Let b(w) = -w**3 - 7*w**2 - 2*w - 9. Let m be b(-7). Suppose 0 = m*x - 187 - 243. Is x a multiple of 28?
False
Let h = 12 - -6. Let g = h - 17. Is -2 - g - (-49 + 5) a multiple of 12?
False
Let a = -149 + 242. Let j = 135 - a. Suppose 3*g - j = 36. Is 7 a factor of g?
False
Suppose -10 = -o - 6. Suppose -x = s + x - 90, o*x + 12 = 0. Does 24 divide s?
True
Suppose 4*r - t - 3116 = 0, -3*t = -19*r + 15*r + 3108. Is 13 a factor of r?
True
Let z(i) = i**3 - 6*i**2 + 4. Suppose 0 = -5*v - 7 + 37. Let p be z(v). Suppose -p*j = -20, -l + j = -0*j - 4. Is 5 a factor of l?
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 73*w**3 + 110 + 5*w**4 wrt w?
20*w**3 + 10*w
What is the third derivative of n**3 - 185*n**5 - 10*n - 2*n + 2*n + 6*n**2 - n**2 - 14*n wrt n?
-11100*n**2 + 6
Let r(c) be the first derivative of c + 36. Let a(w) = -73*w**2 - 64*w - 5. Let s(o) = -a(o) - 5*r(o). What is the second derivative of s(h) wrt h?
146
Let h(j) = 180*j**2 - 11*j - 2127. Let g(q) = -89*q**2 + 6*q + 1075. Let c(w) = -9*g(w) - 5*h(w). What is the derivative of c(t) wrt t?
-198*t + 1
Let f(u) = -8*u**3 + 6*u**2 + 1163*u - 5235. Let n(k) = -38*k**3 + 28*k**2 + 5812*k - 26174. Let m(z) = -14*f(z) + 3*n(z). Differentiate m(v) with respect to v.
-6*v**2 + 1154
Suppose -2*l + 8*l = -0*l. Suppose -4*y + 2*f + 13 + 1 = l, 5*y + 3*f - 34 = 0. Find the first derivative of y - 4*m + 20*m - 5 + 3 wrt m.
16
Let w(f) = -f**3 - 3*f**2 + 11*f + 9. Let c be w(-5). Differentiate 23*h**3 - 23*h**3 + 11*h + h + 41 + h**c wrt h.
4*h**3 + 12
Find the first derivative of 613*a - 1263*a - 1169 + 555*a wrt a.
-95
Let i(p) be the first derivative of 145*p - 142 - 11/2*p**2. Differentiate i(r) with respect to r.
-11
What is the third derivative of 4*b**5 - 48*b**3 + 46*b**3 - b**2 - 77 + 93*b**5 + 29*b**5 - 19*b**5 wrt b?
6420*b**2 - 12
Let j(k) be the first derivative of 806*k**2 - 1272*k + 668. What is the first derivative of j(o) wrt o?
1612
Let y(i) be the third derivative of 709*i**9/504 - i**8/168 - 54*i**5/5 + 6*i**2 - 298. What is the third derivative of y(d) wrt d?
85080*d**3 - 120*d**2
Let s(l) = 5825*l**3 + 757*l + 18. Let h(m) = -647*m**3 - 84*m - 2. Let b(g) = -38*h(g) - 4*s(g). Find the second derivative of b(q) wrt q.
7716*q
Let n be (2 + 1/(-2))*(1 + -31). Let i = n - -47. Find the second derivative of 87*y**i - 5*y**3 - 87*y**2 - 15*y wrt y.
-30*y
Let q(d) = -62735*d - 66510. Let o(k) = -5228*k - 5542. Let c(z) = 35*o(z) - 3*q(z). Differentiate c(w) with respect to w.
5225
Suppose 3*o + 5*c - 28 = 2*o, -25 = -5*c. Find the third derivative of 7*y**3 + 2*y - y**o - 37*y**4 + y**2 + y**3 - 5*y**3 - 31*y**4 wrt y.
-1632*y + 12
Suppose -586 = -10*i + 1724. What is the first derivative of 231*t**3 + 278533*t + i - 17 - 278533*t wrt t?
693*t**2
Find the third derivative of -367*a**2 + 1174*a**2 - 3 - 1257*a**3 - 413*a**2 - 561*a**2 + 15 wrt a.
-7542
Suppose -2*j = -4*j + 8. Suppose 3*o - 40 = -j. Find the second derivative of 15*q**5 - o*q + 21*q - 39*q**5 wrt q.
-480*q**3
Find the second derivative of 356*o + 25 + 1021*o**5 - 3 - 6 - 15 wrt o.
20420*o**3
Let x be 128/(-80)*5/2. Let r(m) = 32*m**2 - 3*m + 215. Let y(j) = 11*j**2 - j + 72. Let w(g) = x*r(g) + 11*y(g). Differentiate w(l) with respect to l.
-14*l + 1
Let o(u) be the second derivative of 0 - 29/12*u**4 + 0*u**2 + 0*u**3 - 89*u + 93/20*u**5. Find the third derivative of o(p) wrt p.
558
Let v(y) be the third derivative of -1967*y**5/30 + 643*y**3/2 + 2*y**2 - 10*y + 1. What is the first derivative of v(u) wrt u?
-7868*u
Suppose 62 = 3*c + 3*s + 5, -5*s + 67 = 3*c. What is the first derivative of c + n + 8*n + 6*n wrt n?
15
Let y(p) be the third derivative of 1013*p**6/120 + 539*p**4/8 - 2*p**2 - 426*p. Find the second derivative of y(w) wrt w.
6078*w
Suppose -3*h - 5*v = -31, -2*v = -158*h + 161*h - 16. Suppose 2*d + 1 = 7. Differentiate -6 - 9 - 6*c**h - 11 + d with respect to c.
-12*c
Let v be (-660)/(-770) - (-2200)/14. What is the second derivative of -206*y**2 + v*y**2 - 5*y - 281*y**2 wrt y?
-658
Let w be -7*(22/14 + -28 + 26). What is the derivative of 16 + 41 + 4*z + 108 - 12*z**w - 3*z wrt z?
-36*z**2 + 1
Differentiate -868 + 131*p**4 + 152 - 154*p**4 - 132*p**4 - 313*p**4 with respect to p.
-1872*p**3
Let m be 7 - (10/4)/(13/26). What is the derivative of -95 - 2*d - 11790*d**2 - 105 + 11750*d**m wrt d?
-80*d - 2
Suppose -17 = 12*t - 41. Find the second derivative of -65*p**t - 9*p - 6*p + 31*p wrt p.
-130
Suppose 2 = 2*v - 2, -3*v = 5*g - 26. Find the first derivative of -41*p**4 - 50*p**4 - p**4 + 2*p**2 + 45 + 9*p**4 + 11*p**g wrt p.
-288*p**3 + 4*p
Let d be (-65)/(-13) - 2/(-6)*-3. Suppose -2*w - 15 = -5*b, -w - d*b = -5*w. What is the third derivative of 27*a**2 + 45*a**5 + 43*a**w - 96*a**5 wrt a?
-480*a**2
Let z(i) = -i + 11. Let m be z(7). Suppose -m*j + 4*s = -64, 2 = 3*j - 5*s - 52. Find the third derivative of -7*d**2 + 15*d**2 + 34*d**6 + j*d**2 wrt d.
4080*d**3
What is the second derivative of 37*o**5 + 2218*o**4 - 2*o**2 + 4*o - 4435*o**4 + 2*o**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 0 = s + s - 2*q - 90, 2*s + 3*q = 75. Let o = 217 - s. Is o a multiple of 25?
True
Suppose 4*i + 0*i = 1520. Is 38 a factor of i?
True
Let w be (-40)/(-16)*(-24)/15. Does 10 divide (-4)/(w/(-1))*-20?
True
Suppose -35*s - 4728 = -37*s - 2*x, 4*s = 2*x + 9486. Is 23 a factor of s?
True
Let b = -64 - -658. Is b a multiple of 5?
False
Let w(k) = k**3 - 2*k**2 - k + 249. Let m(y) = y**2 - 11*y + 10. Let f be m(1). Is w(f) a multiple of 19?
False
Let m be -1*3*8/(-3). Let l = m + -5. Suppose 5*t + y = 182, l*y = -5*t - 0*t + 186. Is t a multiple of 15?
False
Let n(p) = 18*p - 26. Is n(4) a multiple of 2?
True
Suppose 21 + 7 = 2*b. Let g = -12 + b. Is g even?
True
Let d(r) = r + 9. Let a be d(-6). Suppose 0 = 2*x - 6*x + 2*m + 186, -171 = -4*x - a*m. Does 10 divide x?
False
Suppose -7*n = -22 - 6. Suppose 0*a = -n*w + 2*a + 510, -5*a = -w + 141. Does 14 divide w?
True
Suppose -44 = 4*f + 140. Let l = -150 + 122. Let w = l - f. Does 9 divide w?
True
Let v be (-3)/2*(-104)/3. Suppose -3*u + w - 24 = 19, -4*u = 4*w + v. Let z = 6 - u. Is z a multiple of 9?
False
Let d be 0/((4 - -1) + -2). Suppose -8*b = -d*b - 128. Is 3 a factor of b?
False
Is 0*(-6)/60 + 0 + 27 a multiple of 3?
True
Suppose -3*g + 185 = -2*p, 3*g + 75 = -p - 31. Is 0*(-3)/9 - p a multiple of 14?
False
Let d(w) = 2*w**3 - 7*w**2 + 5*w + 15. Let m be d(9). Suppose -5*i - 206 = -m. Is (-3)/(-15) - i/(-5) a multiple of 17?
False
Suppose 12 - 58 = -4*h - b, -3*b = 3*h - 30. Let k(p) = p**3 + 11*p**2 + 13*p + 24. Let t be k(-10). Is t/1*(-14)/h a multiple of 7?
True
Let d be 1 + -2 + (12 - 9). Let s = 0 - -2. Suppose s*f = -d*f + 32. Is 8 a factor of f?
True
Let a = 13 + -7. Suppose 17 = 3*o + 5*w, 0 = 5*o + a*w - w - 25. Suppose -o*j = -109 + 5. Does 13 divide j?
True
Suppose 0 = -5*g + 4*g - 10. Let u(x) = -x**2 - 12*x + 26. Let c be u(-14). Is -4 + 410/(g/c) a multiple of 37?
False
Suppose 2*i + 0*i + 8 = 0. Is (-11 - i) + 4 + 15 a multiple of 5?
False
Suppose -5*m - 83 = -1883. Is m a multiple of 24?
True
Let v be 20/(-5) + -3 + -35. Let j = 58 + v. Does 3 divide j?
False
Is 6 a factor of -2 - -2 - 2869/(-19)?
False
Suppose 3*b + 46*j = 47*j + 1577, -3*b + 4*j + 1583 = 0. Is 5 a factor of b?
True
Let f(r) = -178*r**2 - 3*r + 4. Let a(j) = -355*j**2 - 7*j + 9. Let o(k) = 3*a(k) - 7*f(k). Is o(-1) a multiple of 12?
True
Let y be 64/11 - 10/(-55). Suppose 0 = 3*h - y*h + 12. Suppose -h*r - 27 = -5*r. Is 10 a factor of r?
False
Does 15 divide (-4 - 0)/(-4) - -214?
False
Let o = 35 - 36. Let h(d) = 4*d**2 + 2*d + 1. Let v be h(o). Does 2 divide v*(25/15 + 0)?
False
Let x = 13 - 5. Suppose 4*m + 3*q + 40 = x*m, -2*q = 2*m - 20. Let b(z) = 4*z - 1. Is b(m) a multiple of 13?
True
Let m = -624 - -771. Is m a multiple of 40?
False
Let u be ((-2)/4)/1 - (-95)/38. Suppose u*w - 86 = -4*v, 3*w + w - v = 208. Is 15 a factor of w?
False
Let g = 820 - 536. Is 8 a factor of g?
False
Suppose 12*i = -855 + 7575. Is i a multiple of 10?
True
Let q = 410 - 372. Is q a multiple of 19?
True
Suppose b = 2*x + 2, -x + 2*x = 0. Suppose -g + b*g = t + 68, -141 = 2*t - 3*g. Let r = 94 + t. Is r a multiple of 7?
False
Let p = -54 - -59. Suppose 49 = p*m - 181. Is 6 a factor of m?
False
Suppose 472 = 4*m + 4*j, -4*j = -m - 0*m + 143. Let x = 128 - m. Is 2 a factor of x?
False
Let p(v) = -2*v - 10. Let j be p(-10). Let y = 8 - j. Let b(m) = -m**3 + m**2 + m + 1. Is 3 a factor of b(y)?
False
Let k(b) = 181*b + 2496. Is k(0) a multiple of 39?
True
Let l(c) = -9*c + 16*c + 12*c + 16. Does 23 divide l(4)?
True
Let t be 4*(1 + -2)*1. Is 3 a factor of 8/5*(-70)/t?
False
Suppose -7*f + 2*f + 4*i = -27, -4*i - 9 = f. Let n = -3 + 6. Suppose -3*u = 12, f*u + 3 + n = -o. Does 5 divide o?
False
Suppose 2*s + 2613 = 5*s - 3*v, -s = -5*v - 855. Is s a multiple of 25?
True
Suppose 22 = 4*h + 2. Suppose 5*x - 191 = 4*l - l, 105 = 3*x - h*l. Does 20 divide x?
True
Suppose -7*b + 9*b = 4. Suppose 0*h + b*h - 500 = 0. Does 25 divide h?
True
Let s = 162 + 233. Is 13 a factor of s?
False
Suppose 5*r - 3*a - 216 = 0, -2*a = 3*r + a - 120. Suppose 2*f + 0*q = -q - 33, r = -2*f - 4*q. Does 6 divide (f + 10)*(0 - 4)?
False
Let b(f) = f**3 + 23*f**2 - 7*f + 34. Let h(t) = -1. Let p(u) = b(u) + 5*h(u). Does 19 divide p(-23)?
True
Suppose -5907 = -5*d + 5133. Does 12 divide d?
True
Suppose 0 = m + 3*u - 190, 2*u = 3*m + 5*u - 552. Is m a multiple of 17?
False
Does 4 divide -5 - -15 - -586 - 10?
False
Suppose 0 = 54*j - 49*j - 5. Is 17 a factor of (-97 - 5)/(-3 - -2
|
{
"pile_set_name": "DM Mathematics"
}
|
194*y. Calculate m(g(s)).
-3*s**4
Let b(t) = -9 - t + 9. Let d(q) = 4*q + 0 + 0. What is b(d(w))?
-4*w
Let m(s) = -s**2. Let f(u) be the second derivative of -u**5/60 + u**3/6 - 3*u. Let b(y) be the second derivative of f(y). Calculate b(m(h)).
2*h**2
Let m(h) = -h**2. Let d be (2 - 2/(-2)) + -1. Let k = 8 - 7. Let v(o) = d*o**2 - k + 1. Calculate v(m(s)).
2*s**4
Let t(z) = 4*z. Let p(c) = 46*c**2. Determine t(p(m)).
184*m**2
Let z(t) = t**3 - 2*t**2 + 3*t. Let v be z(2). Let r(k) = -k**2 - 1. Let u(b) = 12*b**2 + 13. Let m(g) = v*u(g) + 78*r(g). Let a(f) = f**2. Determine a(m(h)).
36*h**4
Let i(p) = 6*p**2 - p. Let t(o) = 7*o. Calculate i(t(n)).
294*n**2 - 7*n
Let a(v) = 2*v**2. Let f(x) = -6*x**2 - 108*x + 108*x. What is f(a(c))?
-24*c**4
Suppose 5*f + 4*n = 22, 0*n + 5*n - 25 = -5*f. Let b(q) be the first derivative of 0*q - 2/3*q**3 + 0*q**f - 2. Let g(t) = -t. Determine g(b(h)).
2*h**2
Let g(q) be the second derivative of q**4/3 - 30*q. Let r(m) = 8*m**2. What is r(g(o))?
128*o**4
Let q(o) = -2*o - o + 5*o. Let j be ((-6)/5)/(4/(-10)). Let h(v) = -2*v + j*v - 3*v. Give h(q(z)).
-4*z
Let z(t) = 2*t. Let j(x) be the third derivative of 3*x**2 + 0*x**4 - 1/15*x**5 + 0*x**3 + 0 + 0*x. Determine z(j(k)).
-8*k**2
Let h(u) = 4*u. Let b(z) = -48*z. Determine b(h(s)).
-192*s
Suppose 2*n = 4*n - 12. Let q(r) = 2*r**2 + n - 6. Let c(o) = -10*o**2 - 45. Let b(y) = y**2 + 4. Let d(g) = -45*b(g) - 4*c(g). Give q(d(m)).
50*m**4
Let f(w) be the third derivative of -w**4/6 + 4*w**2 + 8*w. Let x(v) = 31*v**2. Give x(f(h)).
496*h**2
Suppose 0 = -3*i + 8 - 2. Let m(o) = i*o - o + 0*o. Let h(r) be the first derivative of -5*r**3/3 - 53. Give m(h(f)).
-5*f**2
Let k(c) = 2*c. Let v(t) = -t**2 - 83. Determine k(v(p)).
-2*p**2 - 166
Let z(s) be the first derivative of -2*s**3 - 26. Let l(h) = 3*h**2. Determine z(l(u)).
-54*u**4
Let t(a) = 6*a. Let i(f) = -7*f. Let y(h) = -4*i(h) - 5*t(h). Let q(l) = 3*l + 2. Let n(j) = 25*j + 17. Let p(z) = -6*n(z) + 51*q(z). Calculate y(p(m)).
-6*m
Let g(k) = 3*k**2. Let p(z) = -689*z - 4. Determine p(g(y)).
-2067*y**2 - 4
Let f(q) = -4*q + 2. Let d(c) = 9*c - 5. Suppose 0 = -2*i + 5 - 13. Let h(z) = i*d(z) - 10*f(z). Let r(l) be the first derivative of l**2 + 1. Give h(r(o)).
8*o
Let u(l) = -3*l**2. Suppose z + 3 = -0. Let v(g) = g - 1. Let y(f) be the second derivative of -5*f**3/6 + 3*f**2/2 - f. Let s(n) = z*v(n) - y(n). Give s(u(w)).
-6*w**2
Let c(a) = -3*a**2. Let j(d) = -54*d**2 + 115*d**2 - 56*d**2. Give j(c(g)).
45*g**4
Let b(q) = q - 33. Let m(c) = 2*c**2. Calculate b(m(w)).
2*w**2 - 33
Let q(h) = -h. Let a(k) = 45*k**2. Calculate a(q(x)).
45*x**2
Let h(j) = -j. Let r(a) = 5*a**2 + 24*a. Determine h(r(w)).
-5*w**2 - 24*w
Let q(a) = 9*a. Let d(b) be the second derivative of b**3/3 + 9*b. Determine d(q(p)).
18*p
Let p(l) = -24*l. Let m(i) = -13*i - 2. Give p(m(s)).
312*s + 48
Let y(b) = b. Suppose -5*v + 0 = s - 8, 7 = s + 4*v. Let q(h) be the first derivative of -20*h**3 + 19*h**3 + 0 - s. Calculate q(y(w)).
-3*w**2
Let z(n) = -3*n. Let h(r) = -4*r**2 + 7*r**2 + 15*r**2 + r**2. Determine h(z(w)).
171*w**2
Let x(y) = -y**2. Let b(o) = -17 - 3*o + 17. Calculate b(x(w)).
3*w**2
Let v(j) = 19325*j. Let l(s) = -s**2. What is v(l(q))?
-19325*q**2
Let b(r) = -r. Let j(a) be the third derivative of -a**7/2520 + a**4/6 - a**2. Let o(w) be the second derivative of j(w). What is b(o(f))?
f**2
Let p(s) be the third derivative of s**5/120 - s**3/3 + 2*s**2. Let t(a) be the first derivative of p(a). Let w(j) = j**2. What is w(t(k))?
k**2
Let o(n) = 7*n**2 - 5*n. Let l(p) = -7*p. Determine o(l(r)).
343*r**2 + 35*r
Let y(k) = 3*k**2. Let v(s) = 10*s. Let z(c) = -c. Let j(b) = -v(b) - 3*z(b). Determine j(y(l)).
-21*l**2
Let l(x) = 1037*x. Let i(c) = 2*c. Calculate l(i(f)).
2074*f
Let s(i) = -2*i**2. Let w(
|
{
"pile_set_name": "DM Mathematics"
}
|
mposite number?
False
Suppose 4*o + 0*u - 103 = -5*u, -o = u - 25. Is o a composite number?
True
Let q(u) be the first derivative of 28*u**2 - u - 1. Let l = 6 + -5. Is q(l) a composite number?
True
Let b(p) = p + 11. Let t be b(-7). Suppose -3*m = -t*x + 581, 183 - 14 = x + 4*m. Let i = x + -82. Is i prime?
True
Let r(m) = -128*m - 17. Is r(-6) composite?
False
Let x(k) = -129*k - 2. Let a be x(3). Let d = -50 - a. Is d*1/(-3)*-1 a composite number?
False
Suppose -7*s - 13 = -8*s. Let q(m) = -m**3 + 13*m**2 + 12*m - 13. Is q(s) prime?
False
Is 613*2*6/(-60)*-5 prime?
True
Let n(a) = -a**3 - 6*a**2 - 5*a + 3. Let i be n(-5). Suppose i*h + h = 3*g + 254, -5*h + 319 = -3*g. Is h composite?
True
Let o(b) = 5*b**2 + 4*b. Let u(f) = -f**2 - 7*f + 5. Let n be u(-8). Is o(n) a prime number?
False
Let k be 3*(-4)/(-24)*28. Suppose 2*j - 30 = 4*w, -2*w + 23 = 5*j + w. Let c = j + k. Is c a composite number?
True
Suppose -2*k + 0*x = 5*x + 87, 5*k - 5*x = -165. Let d = 50 + k. Suppose -s + 9 = -d. Is s a composite number?
False
Let v = 12 + -8. Suppose -v*o - 399 = -7*o. Is o a prime number?
False
Let u be 40 + 1 + -1 + -3. Is u*(-1 + -1 - -3) composite?
False
Let z be (-18*3/6)/(-1). Let m(k) be the third derivative of k**6/120 - 2*k**5/15 + k**4/4 - 4*k**3/3 - k**2. Is m(z) prime?
True
Suppose 0 = -16*s - 386 + 3442. Is s prime?
True
Let h = 3 - 0. Let v = h + 0. Suppose 2*a = v*j - 6*j + 125, -5*a + 270 = -j. Is a a prime number?
False
Let z = 205 + -102. Let o = z - 44. Suppose 0 = 3*h - o - 16. Is h prime?
False
Suppose -3*k = -5*k + 4. Suppose -c - 5*v - 16 = k*c, 0 = 5*c - 4*v + 2. Is c/5 - 834/(-10) a composite number?
False
Let i = 101 - -8. Is i a prime number?
True
Suppose 313 = 5*r - 2622. Is r prime?
True
Suppose 0*b = 2*b - 3434. Suppose 4*d = -4*h + 1396, -d + 3*d = 5*h - b. Suppose -5*g = -220 - h. Is g a composite number?
False
Suppose -3*z + 20 - 5 = 0. Suppose -4*s + 3*s = 2*t - 407, z*s - 1980 = t. Is s a composite number?
False
Let y = 432 + -180. Suppose j - 125 = -k, -2*k - j + y = -0*k. Is k prime?
True
Let b be -4 + 5 + -3 + -2. Is (-5)/(b/116 + 0) prime?
False
Suppose 3*f = 5*u + 117 - 1166, -215 = -u - 2*f. Is u prime?
True
Is (-4)/12 + 215/15 a prime number?
False
Let y = 7 + 2. Suppose -102 + y = -3*p. Is p a composite number?
False
Is 614/(-8)*16/(-4) composite?
False
Is 19518/24 - (1 - (-3)/(-4)) prime?
False
Suppose 0 = -2*y - 5*v + 20, -v = 2*v - 12. Suppose -180 = -5*w - 4*z + z, y = -3*z + 15. Is w a prime number?
False
Suppose -2*v + 1 = -3*v - 5*a, -4*v - 4*a + 12 = 0. Suppose 118 = v*l - 3*l. Is l prime?
False
Let l(q) = 2*q**2 - 4*q + 7. Is l(-5) composite?
True
Let b = 1459 + 1017. Is (-2)/(-9) - b/(-36) composite?
True
Let k(b) = -b**3 + 8*b**2 - 6*b - 7. Suppose 5*g + 43 = r, -4*g - g - 195 = -5*r. Suppose 5*h = r - 13. Is k(h) composite?
True
Let r be (-4)/(-3)*(1 + 26). Suppose -2*a - 6 - 28 = 0. Let b = r - a. Is b a composite number?
False
Let s(g) = 20*g - 2. Let b be (3 + -1 - 3)*-3. Suppose -2 = b*i + 4*a, -3*i + 5*a - 4*a + 8 = 0. Is s(i) a composite number?
True
Let x(q) = 2*q**2 - 4*q - 8. Let v be x(4). Suppose 0 = -4*k - 3*l + v*l + 1787, 2*k - 2*l - 896 = 0. Is k composite?
True
Suppose o - 2*o + 547 = 3*t, -2*o + 2*t + 1078 = 0. Is o prime?
True
Suppose -28*r = -31*r + 8337. Is r a composite number?
True
Suppose -2*t = 2*j, j - 3*j - t = 0. Suppose -2*p + j*c - c = -14, 0 = -5*c + 10. Is (p/(-15))/(3/(-165)) a prime number?
False
Let m = 11589 + -652. Is m a composite number?
False
Let z(b) = 11*b**2 - 15*b + 29. Is z(9) composite?
True
Let u(y) = -y**2 + 7*y - 5. Let p be u(5). Suppose 3*d = -5*c + 9, 5 = 4*c + d - p. Is c a composite number?
False
Let s(l) = 3*l**2 + 4 + 10*l - l**2 - 3*l. Let x be s(-4). Suppose 75 = -3*a + x*a. Is a prime?
False
Suppose 5 = -4*h + t, -2*h + 15 = -4*h + 3*t. Let w(s) = -3 + h + 2 + 4 + 2*s. Is w(5) a composite number?
False
Suppose 4*t = 3*l + 9280, 0*t + t - 4*l - 2333 = 0. Is t composite?
True
Suppose -9 = -5*f + 8*f. Let h = f - -7. Suppose 0 = h*c + 2*v - 98, -5*c + 2*v = -41 - 68. Is c prime?
True
Suppose -p - 2*p = 3*v - 144, 5*v - p - 210 = 0. Is v prime?
True
Let s(b) = 25*b**2 + 1 + 0 - 9*b**2. Is s(-2) prime?
False
Suppose 2*c = c. Suppose c*p + 5*p = -v + 243, -5*p + 241 = 2*v. Suppose -g + 4*l + p = 0, 4*g = 4*l + 216 - 56. Is g composite?
False
Is (-563)/4*(6 + -10) composite?
False
Let c(p) = -2*p**3 + 4 - 2 + 5*p**2 + p**3 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
Factor -x**2 - 2/3*x**3 + 0*x - y*x**4 + 0.
-x**2*(x + 3)**2/9
Suppose -1755 = -11*r - 2*r. Solve r*t - 4*t**3 + 5*t**3 - 4*t**3 - 123*t = 0 for t.
-2, 0, 2
Let d be (50/(-75))/(1/6*-1). Let r(w) = 29*w - 4. Let s be r(d). Determine y, given that -s + 2529*y**2 + 32 - 2534*y**2 - 40*y = 0.
-4
Let l(z) = -7*z - 17. Let p be l(-3). Find c such that -7*c**3 - p*c**4 - 17*c**2 - 2*c - 18*c - 6 + 3*c + 7*c**4 - 4*c**4 = 0.
-3, -2, -1
Let x(a) = 2*a**4 - 16*a**3 + 4*a**2 - 5*a. Let n = 563 + -566. Let j(r) = -r**4 + 9*r**3 - 2*r**2 + 3*r. Let w(k) = n*x(k) - 5*j(k). Factor w(q).
-q**2*(q - 2)*(q - 1)
Let v(h) = h**4 - 14*h**3 + 20*h**2 - 4*h + 4. Let j(f) = -f**3 + f**2 - f + 1. Let l(s) = 4*j(s) - v(s). Factor l(g).
-g**2*(g - 8)*(g - 2)
Suppose r + z - 4 = -0*r, 0 = -5*r + 4*z + 2. Suppose 0 = 2*n - r*i - 4, i - 3 = -2. Factor 14*u**n - 2*u**4 + 0*u + 2*u**2 - 12*u**3 - 2*u.
-2*u*(u - 1)**2*(u + 1)
Let w(r) = -3*r**2 - 75*r - 447. Let o be w(-15). Let k(g) be the first derivative of -3/4*g**4 + 15/2*g**2 - 9*g - g**o - 23. Find b, given that k(b) = 0.
-3, 1
Let b(a) be the second derivative of -165/2*a**4 + 138*a**3 - 15/4*a**5 - 30*a + 0 - 84*a**2. Factor b(j).
-3*(j + 14)*(5*j - 2)**2
Let n(r) be the second derivative of 0*r**3 - 1/40*r**5 + 0 - 1/16*r**4 + 17*r + 7/2*r**2. Let i(d) be the first derivative of n(d). Factor i(q).
-3*q*(q + 1)/2
Let n be 144/460 + ((-19)/285 - 53/(-345)). Factor -264/5*z + 8712/5 + n*z**2.
2*(z - 66)**2/5
Let o(w) be the second derivative of -w**5/12 - 5*w**4/12 + 25*w**3/2 + 23*w**2 + 2*w - 33. Let j(s) be the first derivative of o(s). Factor j(i).
-5*(i - 3)*(i + 5)
Let d(r) be the first derivative of 2*r**6/3 + 104*r**5/5 + 192*r**4 + 384*r**3 - 806. Factor d(v).
4*v**2*(v + 2)*(v + 12)**2
Determine y, given that 27 + 82*y + 76*y - 170*y + y**2 = 0.
3, 9
Let f(k) = -6*k**4 + k**3 - 5*k**2 - 5*k + 5. Let o(c) = 9*c**4 - 2*c**3 + 7*c**2 + 7*c - 7. Let g = -204 - -211. Let i(n) = g*f(n) + 5*o(n). Factor i(j).
3*j**3*(j - 1)
Let q(b) be the first derivative of -4*b**6/9 - 44*b**5/15 - 4*b**4 + 4*b**3/9 + 8*b**2/3 + 490. Let q(t) = 0. Calculate t.
-4, -1, 0, 1/2
Let x = -4530 - -31712/7. Let t(l) be the second derivative of -12/7*l**3 + 0 + 0*l**2 - 1/70*l**5 - x*l**4 - 28*l. Factor t(j).
-2*j*(j + 6)**2/7
Let s(z) be the first derivative of -64 + 7*z**4 - 44/3*z**3 + 8*z - 14*z**2 + 36/5*z**5. Suppose s(i) = 0. Calculate i.
-1, 2/9, 1
Suppose -3/4*c**2 - 171 - 237/4*c = 0. What is c?
-76, -3
Let f(p) be the first derivative of -5*p**4/4 - 440*p**3/3 - 10105*p**2/2 - 18490*p + 4406. Factor f(s).
-5*(s + 2)*(s + 43)**2
Determine m so that 2/9*m**3 + 722 - 226/9*m**2 + 2090/3*m = 0.
-1, 57
Let k(z) be the third derivative of -z**8/7560 + z**7/630 - z**6/324 + 17*z**3/3 + 17*z**2. Let c(r) be the first derivative of k(r). Factor c(s).
-2*s**2*(s - 5)*(s - 1)/9
Let 4*y**2 + 0 - 3*y - 4/3*y**4 + 2/3*y**3 - 1/3*y**5 = 0. What is y?
-3, 0, 1
Let n be (20/(-96))/(15*(-15)/180). Factor -5/6 - n*w + 5/6*w**2 + 1/6*w**3.
(w - 1)*(w + 1)*(w + 5)/6
Let y(o) be the third derivative of -5*o**8/336 + 11*o**7/21 - 23*o**6/8 - 143*o**5/3 - 845*o**4/6 + 7*o**2 + 21. Factor y(d).
-5*d*(d - 13)**2*(d + 2)**2
Let y = -33 + 37. Suppose y = x, w - 12 = -w - x. Determine q so that -8*q - 2*q + 11*q**4 - 13*q**w + 2*q + 6*q**3 = 0.
-1, 0, 2
Let n be ((-15)/9)/5*-9. Let j(a) = -27*a + 448*a**2 + 4*a**4 - a + 32*a**n - 68*a - 444*a**2 + 64. Let b(r) = -r**3. Let d(q) = -8*b(q) - j(q). Factor d(v).
-4*(v - 1)**2*(v + 4)**2
Let a = -191 + 629. Factor -442*n**2 - 7*n - n + a*n**2.
-4*n*(n + 2)
Let m = -184796 + 554390/3. Factor m + 4/9*g - 2/9*g**2.
-2*(g - 3)*(g + 1)/9
Let a(k) be the second derivative of 18*k**2 + 7/3*k**4 + 31*k + 1/5*k**5 + 2 - 34/3*k**3. Determine l, given that a(l) = 0.
-9, 1
Find o such that 18050 - 138*o**3 - 18048*o**2 + 518*o**3 + 30*o**4 - 86*o**4 - 380
|
{
"pile_set_name": "DM Mathematics"
}
|
t z = -0.012307 + h. Let f = 122 - z. Round f to two dps.
0.12
Let f(n) = 3365010*n - 20. Let k(j) = -2*j**2 - 73*j - 34. Let w be k(-36). Let z be f(w). What is z rounded to the nearest 100000?
6700000
Let a = -91494 - -90578.29. Round a to the nearest 100.
-900
Let c = -71881 - -71880.9999814332. Round c to 6 dps.
-0.000019
Let s = 7.07041 - 8.7896. What is s rounded to two decimal places?
-1.72
Let z = -35981 + -23842. Let r = 30323 + z. Round r to the nearest 10000.
-30000
Let t be 432/(-1224) + 314925018/51. Round t to the nearest one million.
6000000
Let p = 71480.98592 + 1.01408. Let q = -71502.0000168 + p. Let h = 20 + q. Round h to five dps.
-0.00002
Let m(y) = -6*y + 2. Let o be m(1). Let x be 6*148*-32055 - o. Let a = -13264836 - x. What is a rounded to the nearest 1000000?
15000000
Let f = -35687.967941 + 35688. Let p = -15.1323 - -15.1. Let t = f + p. What is t rounded to four decimal places?
-0.0002
Let t = 5079.964 - 5073. What is t rounded to the nearest integer?
7
Let s = -5866669.99437 - -5866731. Let r = 61 - s. What is r rounded to three decimal places?
-0.006
Let d = 0.053 - -4.007. Let a = -261 + 258.53. Let q = a + d. What is q rounded to one dp?
1.6
Let i = 29139 + -29139.00030108. Round i to 6 dps.
-0.000301
Let v = 973 + -1108.9. What is v rounded to the nearest 10?
-140
Let m = -778594 - 698006. Round m to the nearest one hundred thousand.
-1500000
Suppose 5*a + 22*a = -11*a + 26531600. What is a rounded to the nearest 10000?
700000
Let i = 4302 - 4272.652. What is i rounded to the nearest ten?
30
Let b(c) = -267516*c + 5496. Let n be b(6). Round n to the nearest 100000.
-1600000
Let h = 76.377 - 140.316. Let m = h - -64. Let t = 0.0581 - m. What is t rounded to 3 decimal places?
-0.003
Let l = -235 + 343. Let y = l - 102.9. Let w = y + -5.126. What is w rounded to two decimal places?
-0.03
Suppose -1463275000 = -55*z + 330*z. What is z rounded to the nearest one million?
-5000000
Let y = 3.78 - 0.18. Let p = -0.09811 - 3.50009. Let b = y + p. Round b to 3 dps.
0.002
Let l(k) = -1. Let b(i) = -1799*i + 20. Let u(t) = -b(t) - l(t). Let c be u(11). What is c rounded to the nearest 1000?
20000
Let m = 39240 + -39239.99948938. What is m rounded to six dps?
0.000511
Let x = 0.2619 - -1245.7381. Let r = x - 1245.9163. Round r to 2 decimal places.
0.08
Let h = -5305.177 - -5321. What is h rounded to the nearest integer?
16
Let d = -944.5109 - 1.0891. Round d to the nearest ten.
-950
Let n = -20442607.6435253823 + -864.3564206177. Let x = -20443455 - n. Let w = x - 17. What is w rounded to 5 decimal places?
-0.00005
Let q be (-270)/120 - (-569183937)/(-28). What is q rounded to the nearest one hundred thousand?
-20300000
Let p = 0.2669 - 0.2667346. What is p rounded to six decimal places?
0.000165
Suppose -3*t + 13 = -y, -2*y = -3*y - 1. Let h be (110675/(-38))/(2/t)*20. Round h to the nearest 1000.
-117000
Let n = -22248 - -22247.999986619. What is n rounded to 7 dps?
-0.0000134
Let l(t) = -18 - 1849*t**3 + 0*t - 4*t - t + 0*t + 2 - 4*t**2. Let m be l(8). Round m to the nearest 10000.
-950000
Let o = 1192.05 + 14.95. Let z = o - 1207.000000669. Round z to 7 dps.
-0.0000007
Suppose -8*a = -7*a - 20. Suppose -5*r + 52 = 22. Suppose r*f + 35980 = a*f. What is f rounded to the nearest 1000?
3000
Let v be -4 - ((-12)/3 + -3). Let j be (228800/(-48))/(1/v). Round j to the nearest ten thousand.
-10000
Let r = -205.0005893 - -205. Round r to four dps.
-0.0006
Let t = -421289.54900438 + 421289.6. Let q = 0.051 - t. What is q rounded to 6 dps?
0.000004
Let z be (-2*5)/((5 - 3)*-1). Suppose -d - 3*l - 388 = -3*d, z*l = 2*d - 380. What is d rounded to the nearest 1000?
0
Let y = 240.9 + -471.87. Let l = -27.25 - y. Let k = l - 200. What is k rounded to zero dps?
4
Let l(n) = n**3 - 8*n**2 + 7*n + 38. Let r be l(6). Let z be 39/104 + 4077/r. What is z rounded to the nearest one hundred?
500
Let n = -313.014722 + 313. Round n to 2 dps.
-0.01
Let o = 387.2 - -48.8. Let c = -394.9 + o. Round c to 0 decimal places.
41
Let b = -10944 + 44624. Let h = b - 17780. What is h rounded to the nearest one thousand?
16000
Suppose 4*v + 2*q - 10327209 = 52312783, 78299988 = 5*v + 3*q. What is v rounded to the nearest 1000000?
16000000
Suppose -4*h + 18 - 6 = 0. Suppose -13*y = 3*l - 11*y + 74, 3*l - 4*y = -86. Let g be (-4)/l + h/((-117)/(-7014)). What is g rounded to the nearest one hundred?
200
Let a = -9544 - -5071. Let n = 4454.39 + a. Let i = n + 18. Round i to 1 decimal place.
-0.6
Let r = -400 + 392. Let h be (-40)/r*-38*5. What is h rounded to the nearest 100?
-1000
Let m = 20229.91543 - 20230. What is m rounded to 2 dps?
-0.08
Suppose 132*o = 1286920 + 470318 + 2805738. What is o rounded to the nearest 100?
34600
Let q = -124405623515.7 + 124405621911.699999211. Let z = q + 1604. What is z rounded to seven decimal places?
-0.0000008
Let a = -12643.012532 + 12643. Round a to four decimal places.
-0.0125
Suppose a + 211268 - 2000840 = 3*n, 5*a = -5*n + 8947820. Let j = a - 897566. What is j rounded to the nearest one hundred thousand?
900000
Let d = 34925.49163 - 34925. What is d
|
{
"pile_set_name": "DM Mathematics"
}
|
est to f? (a) -4 (b) 0 (c) -2 (d) -1/4
a
Let l = -33.17 - -36.17. What is the nearest to 1/3 in l, 394, -10?
l
Let b = 0.2 - 0.1. Let m be 8/(-3)*54/(-252). Let s = 2.2 + -5.2. What is the nearest to b in s, m, 0.3?
0.3
Let g be (-3473)/(-252) + 7/(-49). Let o = -116/9 + g. Let z be 592/112 + -5 + 37/(-7). What is the nearest to -5 in -1, z, o?
z
Let n(z) = z**3 + 23*z**2 - 330*z + 1. Let w be n(-33). What is the nearest to w in 1/6, 5, -4, -135/8?
1/6
Let y = -2385 - -2386. Which is the nearest to y? (a) 1 (b) -3/10 (c) 0.05
a
Let i = 3175 + -3174. Which is the closest to -8? (a) i (b) -3/5 (c) 26/5
b
Let i = -2.9289 + -87.0711. What is the nearest to 0.01 in -4, i, 1?
1
Let u(q) = -q**3 + 26*q**2 + 27*q + 74. Let r be u(27). Suppose -5*s = 125 + 210. Let y = r + s. Which is the closest to -0.5? (a) y (b) 0.5 (c) 3/4
b
Let o be -4*((-460)/(-1808) - 2/8). Let x = 35 + -40. Let c be 1*x*3/(-10). What is the closest to o in 0.5, 0.4, c?
0.4
Let s = 20907/83660 + 2/20915. Which is the closest to 1? (a) 3 (b) s (c) 1
c
Let h = 0.02845 - 6.02845. Which is the nearest to h? (a) -3 (b) 0.3 (c) -2/17
a
Let x be (-74)/26 + 3 + (8 - 8). Let y = -21.7 + 22. What is the closest to -4/5 in y, x, -2/17?
-2/17
Let u = -1516.3 + 1638.3. What is the nearest to u in 0.1, 0.04, 2/9?
2/9
Let m be (-2512)/38 + 20/190. Let w = 86 + m. Suppose y + u = 7, -2*u = -2*y + 7*y - w. Which is the closest to y? (a) 0.1 (b) -2 (c) -5/3
a
Let q = -7816 - -7806. Let o = -7.4 + 0.4. Let g = q - o. Which is the closest to 0? (a) -4 (b) 2/3 (c) g
b
Let j = 0 + -1. Let d be 4654/(-8) + (-8)/4 + 0. Let y = d - -584. Which is the nearest to y? (a) 7 (b) j (c) -3
b
Let i be (-6 + -2)/(-4)*(-9)/(-18). What is the nearest to i in 0.3, 4, 0.1, -1/11?
0.3
Let z = 182 - 174. Let y = -11 + z. Let p = 40 - 37. What is the nearest to -0.3 in y, p, -4?
y
Suppose -5*z = -5*r + 18 + 102, 3*z - 2*r = -70. What is the nearest to 0.7 in z, 5, -2/9?
-2/9
Let i be (33 + 804/(-24))/1. Let l = 0.25 - 0.3. Which is the closest to -1? (a) 0.4 (b) l (c) i
c
Let s = -64.114 - -0.114. Let r = 63.6 + s. Which is the closest to -4/7? (a) r (b) 0.1 (c) -0.1
a
Let i = 1786742/3 + -595581. Let y be 16/21 - (-2)/(-3). Which is the nearest to i? (a) -2 (b) -3 (c) -4 (d) y
d
Let k = 106.6 + 6.4. Let r = 226 - k. Let n = r + -112.7. Which is the closest to 0.11? (a) 2 (b) n (c) 0.2
c
Suppose -3*p + 4*p = 0, -3*d + 4*p = -585. Let j be (-8)/(-10) + (-186)/d. Which is the nearest to 1? (a) j (b) 1/8 (c) -0.5
b
Let p = -0.04 - 0.38. Let l = -0.2 - -0.7. Let n = -44326 - -132977/3. Which is the nearest to n? (a) -3 (b) l (c) p
c
Let p(q) = -5*q**2 + 23*q + 3. Let b be p(5). Let w be (-240)/1134 - 2/b. What is the nearest to w in 0.1, -1/2, 1/3?
0.1
Let k = -8.2 - -8.215. Let z = -36.985 - k. What is the closest to 2 in 1, -2, z?
1
Suppose 3*y + 3*a - 14 = 2*y, -24 = -4*y - 4*a. Let w = -561 + 865.5. Let u = w - 305. What is the closest to y in u, -0.2, -4?
-0.2
Let l = -9717 - -9717.5. What is the closest to -1/4 in -3.8, l, 0.3, 2/11?
2/11
Let p be (-1)/1 + (-8)/(-6). Let o = -112.7 + 41.7. Let s = o - -84. Which is the nearest to -0.2? (a) -2/13 (b) s (c) p
a
Let s = -35.242 - -36.1. Let l = s - 0.358. What is the closest to -1/3 in l, -4, -3?
l
Let f = 36.087 + -0.087. Let d = f + -35.66. Let q = d - 1.34. What is the nearest to -0.07 in q, -4, 1/4?
1/4
Let t = 8.89 - -0.11. Let q = 229.76 - 22.36. Let m = 207 - q. What is the nearest to 0.2 in 1/2, m, t?
1/2
Let z = -172/303 + -10/101. Let r = -7.93 + 8. Let p = 2.07 - r. Which is the closest to p? (a) 1 (b) z (c) -1/2
a
Suppose -14 = 2*r - 72. Suppose -5*o - 4 = -r. Let d be (3 + (-28)/8)/(o/2). What is the nearest to 1 in d, -3, 0.1?
0.1
Let z = -0.03 + 0.43. Suppose -2*a + 6*t - 6 = 7*t, -4*a + 2*t = 20. What is the nearest to z in a, -7, 1/3?
1/3
Let r = 41 - 40.4. Let x = r - 0.5. Let v = 0.22 + -0.72. What is the closest to x in 5/4, v, -2/13?
-2/13
Let v be 20/(-2) + (75 - 65). Let i be ((-30)/(-12))/(2 + (-15)/6). Which is the nearest to 3? (a) -0.45 (b) v (c
|
{
"pile_set_name": "DM Mathematics"
}
|
q + j*z**3 + w*z**2 and give j.
21392
Rearrange 152 - 147 - 450*f - 5*f**3 + 402*f to the form o*f**3 + k*f**2 + v*f + h and give v.
-48
Express 143 + 2*a - 3107*a**2 + 3*a**4 + 1538*a**2 + 1567*a**2 as x*a + c*a**2 + k + g*a**4 + p*a**3 and give x.
2
Rearrange 11*g - 474 + 2*g**2 + 153 + 162 + 156 to m*g + b*g**2 + c and give b.
2
Rearrange 121 + 2*n + 7*n + 7*n - n - 19*n to d*n + k and give k.
121
Rearrange (-51 + 51 - 70*x)*(-1 + 5 - 3)*(12 - 6 + 5) to z*x + f and give z.
-770
Express 435*v**2 + 372*v**2 - 590*v**2 + 7*v + 2*v**4 in the form n*v**3 + y*v**2 + p*v**4 + w + m*v and give y.
217
Express 1 + 5127*i - 1888*i + 14035*i - 1 as x*i + c and give x.
17274
Rearrange (2*a + a + 0*a)*(-4*a - a + 3*a)*(83*a + 224*a + 33*a) to y*a + p*a**3 + m*a**2 + z and give z.
0
Express -41*c**2 + 117 + 34*c**2 - 325 + 117 in the form u*c**2 + w + o*c and give w.
-91
Express (173285 + 173303 - 346695 + 74*q)*(0*q + 0*q + 3*q) + 3*q**2 - 3*q**2 - 2*q**2 in the form f*q**2 + h*q + n and give h.
-321
Rearrange -10920*q + 2450*q - 2528*q - 8754*q + 1418*q to the form a + m*q and give m.
-18334
Express -3 + 3 + h**3 - 8*h**3 - 15*h**3 + 3*h**3 + (12*h**2 - 10*h**2 + 11*h**2)*(-4*h + h + h) as n*h**3 + l*h**2 + m + g*h and give n.
-45
Rearrange 603 - 1815 - 2*x**4 - 10*x**2 - 7*x + 607 + 602 to the form l + b*x**4 + q*x**3 + u*x**2 + f*x and give f.
-7
Express (-2*m - 5 + 6 + 7)*(-26*m**3 + 219*m - 3 - 212*m + 17*m**3 + 2*m**2) in the form a*m**4 + t + g*m**2 + w*m + o*m**3 and give o.
-76
Rearrange 74*w**3 - 777*w**3 + 67*w**2 - 1 - 69*w**2 - 354*w**3 + 2*w - 257*w**3 to the form h + a*w**3 + v*w + q*w**2 and give v.
2
Express (q + 3 - 3)*(-5274624*q - 59 + 224 + 5274625*q) in the form w*q + y*q**2 + s and give y.
1
Express 84 + 60 + n + 3*n + 209 + 450 in the form v*n + p and give v.
4
Rearrange 2*p**3 - 78*p - 6671 + 5715 + 76*p to the form o*p**2 + l*p + a + k*p**3 and give k.
2
Express (-2*m + 2*m + 2*m)*(-30858 + 12078 + 14093) as p + l*m and give l.
-9374
Express -1311*h - 704 + 702 - h**3 - 583*h in the form a*h**3 + z + s*h**2 + g*h and give z.
-2
Express (-3 - 3 + 4)*(4*y**2 - 2*y**2 + 0*y**2)*(373 + 316*y - 363 - 485*y) in the form b*y + m + a*y**3 + d*y**2 and give a.
676
Rearrange -2*r**2 - 5*r**2 + 3*r - 1095*r**3 + 4*r**2 - 2*r**4 - 5 + r**2 + 1105*r**3 to s*r**2 + v*r**4 + t*r + p*r**3 + f and give v.
-2
Express (0 + 4 - 3 + (-3 + 2 - 1)*(-3 + 2 + 2))*(-1940*c + 996*c + 3*c**2 + 945*c - 497) as s*c**2 + r + f*c and give r.
497
Express (-4*j + 0*j + 5*j)*(-4*j**2 + 6*j**2 - 3*j**2) + 1939*j**3 - 1931*j**3 + 890*j + 116*j in the form b*j**3 + d + k*j + f*j**2 and give k.
1006
Express (-257*m - 80*m + 27*m)*(3*m**2 - 3*m**2 - m**2) + (-m**3 - m**3 + 0*m**3)*(-4 - 2 + 4) as i*m + a*m**3 + f*m**2 + j and give a.
314
Rearrange 26*h**2 - 62*h + 28*h + h**3 - 2 - 28*h**2 + 33*h to the form i*h + p + m*h**3 + s*h**2 and give s.
-2
Rearrange (0 + 0 - 2*z**2)*(21 + 2700*z - 19 - 2443*z) to the form p*z**3 + q + w*z**2 + o*z and give p.
-514
Express (-2181 + 5914 + 3026 + 9908)*(0 + 2 + 4*y**3 - 2*y**3) as q + z*y**2 + r*y + k*y**3 and give k.
33334
Express 110*n - 46046 + 23040 + 23081 in the form w + a*n and give a.
110
Rearrange (3612*s - 3612*s - 203*s**2)*(-57*s + 57*s + 36*s**2) to y*s**4 + a*s**3 + n*s + h*s**2 + w and give y.
-7308
Rearrange (-21 + 21 - 5*u**4)*(-17011 + 8928 + 8466) to the form z*u + m + h*u**4 + l*u**3 + i*u**2 and give h.
-1915
Rearrange -235751*b**3 + 3*b + 235750*b**3 + 22*b**2 - 42*b to a*b + g + q*b**3 + w*b**2 and give q.
-1
Rearrange 183*d + 160*d - 325*d + (-26*d - 568 + 568)*(-4 + 1 + 4) to the form x + i*d and give i.
-8
Express (-6*m**3 - 481*m + 5*m**2 + 481*m)*(-402 + 7 - 88 + (4 + 0 - 2)*(4 - 1 - 4)) as t*m**2 + l*m**3 + w*m + o and give l.
2910
Express (-2 + 2 + c)*(-6*c**2 + 2*c**2 + 3*c**2) + 16*c**3 - 34*c**3 + 99*c**3 as n*c + a*c**2 + k + q*c**3 and give q.
80
Rearrange (-2*n - 2*n - n)*(1670 - 634 + 1350 - 623 + 3817) to x + q*n and give q.
-27900
Rearrange 396361*b**2 - 12*b - 396376*b**2 + 3*b to j*b + a + d*b**2 and give j.
-9
Express 0 - 4*i**4 + 0 + (4 + 9
|
{
"pile_set_name": "DM Mathematics"
}
|
). Solve n - 3 = 4*u - 2*u, o*n - 15 = -3*u for u.
0
Suppose -3*c = -67 - 74. Suppose -3*x = -28 - c. Suppose x*g - 26*g = 0. Solve g = 3*w + 3*v + 2*v - 1, 16 = -2*w + 5*v for w.
-3
Suppose -43 = 5*j - 153. Suppose 25*r + 184 = 234. Solve 4*t = 4*q - 4, -r*q + 7*q = -4*t - j for q.
-2
Suppose 109 + 444 = 79*k. Solve -k*w + 1 = 5*f - 6*w, 2*f + w = 1 for f.
0
Let g(a) = -6*a**3 - 2*a**2 - 11*a - 10. Let c be 3/(-24)*3 - 15/24. Let j be g(c). Solve 0*v + q - 7 = -v, j*v = -2*q + 26 for v.
4
Let a be (4/4)/3 + (-308)/(-12). Suppose -3*d + 3*g = -21, -g = 3*d - 3*g - a. Solve 0 = 2*i - 2*y + d, -5*y + 20 = -2*i - y for i.
-2
Let s be 6/(-18)*-9 - 3*-3. Suppose s*k = 22*k. Solve -r = -2*r - l + 3, 5*r - 4*l - 33 = k for r.
5
Let k(c) = 3*c**3 + 20*c**2 + 2*c + 69. Let s be k(-7). Solve 3*d = j - s*j + 3, -3*d - 3*j = -3 for d.
1
Let z(v) = 3*v - 23. Let p be z(11). Let m = p - 6. Let t be ((-1)/(-2))/(2/20). Solve 4*d = m*w - 24, -t*w + 2*d - 6 = -33 for w.
5
Suppose 24*k - 9*k = 0. Suppose -13*v + 23 + 3 = k. Let y be 1 + v + (4 + -5 - -3). Solve 22 = -4*x + y*t, 0 = -4*x + t - 9 - 5 for x.
-3
Let y be ((-21)/(-9))/((-58)/87)*-4. Solve 0 = -3*h - y*r + 10*r + 10, -h = -4*r + 2 for h.
2
Let a(z) = -z**2 - 29*z - 5. Let b be a(-22). Suppose -2*l + l - b = -4*f, 9 = 3*l. Let p = -34 + f. Solve 4*d + 12 = o, p*o + 29 = -2*d + 5 for o.
-4
Let s(z) = 367*z - 9175. Let r be s(25). Suppose -2*d = 5*n - 6*d - 7, -5*d = n - 13. Solve -2 = -4*a + n*w - r, -3*a - 4*w - 11 = 0 for a.
-1
Suppose -10 + 88 = 13*q. Suppose -3*f - q = -2*r + 29, -4*f + 145 = 5*r. Solve -4*o = 4*x - 7*o - r, 8 = 5*x + 4*o for x.
4
Let n be ((-30)/(-24))/(12/(-16))*-3. Let t be (n - 91/14)*-2. Solve -r + t = 0, -3*z - r = -3*r for z.
2
Let c(y) = y**2 + 4*y. Let n be c(-5). Suppose -4*t = -9 - 7. Suppose -74 + 114 = t*f. Solve -n*i - f = 2*s + 6, -3*i + s = 14 for i.
-4
Let l = -140 + 140. Let d = -1 - -5. Suppose d*a + 3 = -x, -2*x + 2*a + 3 = -11. Solve -x*v = 4*s - 2*s - 1, l = -4*s - 4*v - 4 for s.
-2
Let q = -364 + 366. Solve 3*v - 3 = 3*i, 22 = 10*v - 13*v - q*i for v.
-4
Suppose 0 = -0*d + 8*d - 32. Let g = -31 - -112. Let x = 84 - g. Solve 3*k + 0*l - 11 = -d*l, -2*k + x*l = 4 for k.
1
Suppose -5*j - 2 = u, 13*u - 3*j = 16*u - 6. Solve 4*f = -5*m + 37, u*f - 8 = -m + 2*f for m.
5
Let d = -45 + 163. Let x = d + -118. Solve -2*y = 3*h - 8, x*y = -5*h - 4*y + 14 for h.
2
Let o = -40 - -42. Suppose -5*h + 45 = 5*m, -6*h - 2*m + 28 = -o*h. Let f(c) = 3*c - 25. Let k be f(9). Solve -3*d + 9 = -k*b + 24, -h*b - 5*d = 0 for b.
3
Let g = 2662 - 2634. Solve -5*o = -4*n + g + 8, -16 = 2*o - 2*n for o.
-4
Let w(o) = 9*o + 193. Let l be w(-21). Solve 35 = 5*j - l*v, -7*j - 23 = -8*j + 4*v for j.
3
Suppose 0 = 5*n - 10, 3*n + 119 + 1195 = -5*h. Let j be 45*(h/(-126) + (-3)/7). Let a = 77 - j. Solve 0*s + 14 = -3*q - s, -2*q - 4 = -a*s for q.
-4
Let d(a) = a**3 + 2*a**2 - a + 5. Let n be d(-4). Let v(f) = 4*f + 95. Let w be v(n). Solve w*b = 5*m - 21, 0 = 3*b + 11 - 5 for m.
3
Let i(j) = -683*j - 13656. Let o be i(-20). Solve -o*d - 4*s - 36 = 0, -s - 60 = 5*d - 31 for d.
-5
Let y be ((1 + -1)*1)/2. Suppose -3*a + 2*d + 26 + 21 = y, 4*a - 91 = -3*d. Solve 0 = 4*n + 2*b - 24, -n - 5*b + a = -5 for n.
4
Let k(w) = w**2 + 294*w + 216. Let s be k(0). Solve s*d + 3*c = 220*d + 23, 2*d + 2*c - 6 = 0 for d.
-2
Let s(b) = -b + 13*b - 3*b - 82 + b**2 + 17*b. Let v be s(-29). Solve v*t = -r + 3*t + 15, 10 = 5*r - 3*t for r.
5
Suppose -28 + 9 = -3*j - 2*s, j = 2*s - 7. Solve j*b - 3 = -3*n, -3 + 10 = -3*b + 2*n for b.
-1
Let z be (-38)/(-38) - (-6 + 2 - 1). Suppose -5*i = -4*g - 138, z*i - 5*g = 2*i + 105. Solve 27 = 5*y - 4*n, 3*y = 5*n - 6 + i for y.
3
Suppose 76*d + 162 = 314. Solve d*w + 21 = 5*h + 1, w + 11 = 3*h for h.
2
Let d be 2*(-5 - -7)/((-12)/(-69)). Suppose 27*s - d*s - 4 = -4*x, 2*x - 26 = 4*s. Solve 3*v + x*n = 0, 4*v - 6 = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
-31
Which is the fourth biggest value? (a) 5 (b) -0.01 (c) -3 (d) -0.5
c
What is the second smallest value in -0.2, 1, 5/3, -0.15?
-0.15
Which is the fifth smallest value? (a) -48 (b) -7 (c) 3/5 (d) 5 (e) -5/3
d
Which is the third smallest value? (a) -0.5 (b) 1/3 (c) 0 (d) 6
b
What is the third smallest value in 0.1, -833, -0.1?
0.1
Which is the fourth biggest value? (a) -1.9 (b) 0.5 (c) -0.5 (d) -10 (e) 1
a
What is the smallest value in -4, -0.3, 0.01?
-4
What is the second smallest value in -2, -5, 117, 5?
-2
What is the third biggest value in -0.3, -9, -0.059?
-9
Which is the fourth smallest value? (a) 1/7 (b) 103 (c) 0.2 (d) -0.5
b
Which is the third smallest value? (a) -3.3 (b) -1/3 (c) 29 (d) -4 (e) -3
e
What is the third smallest value in -2/3, -0.1, -24.52?
-0.1
Which is the second biggest value? (a) -7 (b) 3/5 (c) -2 (d) -1
d
Which is the smallest value? (a) -0.5 (b) -3/8 (c) -0.77 (d) -4
d
Which is the third biggest value? (a) 3 (b) 1 (c) 17/7
b
Which is the second biggest value? (a) -6 (b) -3.2 (c) -0.3 (d) 0.2 (e) -0.04
e
What is the second biggest value in -260, -2, -3/2, 4/3?
-3/2
Which is the third biggest value? (a) -1/3 (b) 0.1 (c) 0.4 (d) -9
a
Which is the smallest value? (a) 0.1 (b) 2 (c) -4 (d) 0
c
What is the third smallest value in -5.6, -5, 0.5?
0.5
What is the biggest value in 0.1, -12, -1/4?
0.1
What is the fifth smallest value in -2/11, 0.4, 4/9, 0.05, -5?
4/9
What is the fourth smallest value in 1, -2/9, 3, -2/15?
3
Which is the second smallest value? (a) 1/10 (b) 4 (c) 0.5
c
Which is the second smallest value? (a) 1/46 (b) -20/9 (c) -1
c
Which is the smallest value? (a) 2 (b) 0.024 (c) -0.3
c
Which is the second smallest value? (a) 0.4 (b) -1130 (c) -4
c
What is the second smallest value in -11, -12, -4?
-11
What is the fourth smallest value in 2, 1/6, -0.22, -0.4?
2
Which is the biggest value? (a) 31 (b) -1 (c) -3 (d) 2
a
Which is the smallest value? (a) -18/319 (b) 2 (c) -1/4
c
Which is the third biggest value? (a) 2 (b) -1/4 (c) 312 (d) 3/5
d
Which is the third biggest value? (a) -1/5 (b) 5 (c) -2 (d) 45
a
What is the third biggest value in 2/11, 1, -98, 3/2?
2/11
Which is the biggest value? (a) 5/3 (b) -1 (c) -2/11 (d) -3/8
a
What is the smallest value in -1, -2, 0.137?
-2
What is the second biggest value in 1, 0.4, 5/6?
5/6
What is the fourth smallest value in 5, 0.1, 3, -14/3?
5
What is the second smallest value in -14, 14, -3?
-3
What is the second biggest value in 3, 2, 6, -15?
3
Which is the second biggest value? (a) 0.1 (b) 3/5 (c) -5 (d) 0.104
d
Which is the second biggest value? (a) 36 (b) 18 (c) -5/4
b
Which is the second smallest value? (a) 0.3 (b) -180 (c) -0.3 (d) -5
d
What is the second smallest value in -2, 0.05, 96?
0.05
What is the smallest value in -5, -1, -1.97?
-5
Which is the second smallest value? (a) -1/11 (b) 2/19 (c) -13
a
What is the fourth biggest value in -0.07, -0.4, 2/19, 0.05?
-0.4
Which is the smallest value? (a) -4 (b) 2 (c) -131
c
What is the biggest value in 0.2, 5, -3.7?
5
Which is the second biggest value? (a) 17 (b) -2 (c) 0.2 (d) 0
c
What is the second smallest value in -2/49, -2, -6/83?
-6/83
Which is the second smallest value? (a) 20 (b) 0.5 (c) -0.1
b
Which is the second biggest value? (a) 4/11 (b) -0.3 (c) -3/4
b
Which is the second smallest value? (a) -4 (b) 0 (c) 12
b
Which is the second biggest value? (a) -7 (b) 5 (c) -3/7
c
What is the fourth biggest value in 28, 0, 0.5, -3/5, -5?
-3/5
Which is the fourth smallest value? (a) -0.3 (b) 0.5 (c) 0.4 (d) -28
b
Which is the third biggest value? (a) 0.591 (b) 0 (c) 5/3 (d) -4
b
Which is the second smallest value? (a) 2/5 (b) -3 (c) 1/4 (d) -2
d
Which is the fifth smallest value? (a) 0 (b) 2 (c) -5/4 (d) -0.12 (e) 5
e
Which is the second smallest value? (a) -0.3 (b) 3 (c) 2/5
c
Which is the third smallest value? (a) -3/4 (b) -0.5 (c) 0.06 (d) -1 (e) -4
a
Which is the second biggest value? (a) -2/13 (b) 1/44 (c) 5 (d) 1/5
d
What is the smallest value in 0.08, -2, -30, -3?
-30
Which is the smallest value? (a) 0.5 (b) -1/13 (c) 1/4
b
What is the biggest value in 131, -8, -0.06?
131
Which is the fourth biggest value? (a) 0.3 (b) -2/17 (c) -8 (d) -18
d
Which is the third biggest value? (a) 5 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
t = 373/14 + g. Find k such that -1/7*k**3 - 2/7 + 5/7*k + t*k**4 - 3/7*k**2 = 0.
-2, 1
Let i(j) be the second derivative of -j**4/54 + 74*j**3/27 + 25*j**2/3 + 387*j. Suppose i(m) = 0. Calculate m.
-1, 75
Let h(w) = -w**2 + 5*w + 4. Let z(m) = 3*m**2 - 9*m - 7. Let j(v) = 5*h(v) + 2*z(v). Let j(q) = 0. Calculate q.
-6, -1
Let v(k) be the third derivative of k**5/20 + 3*k**4/14 - 2*k**3/7 + k**2 - 6. Factor v(c).
3*(c + 2)*(7*c - 2)/7
Let b = 37 - 32. Factor -p**3 + 927*p**2 + 6*p**3 - 932*p**2 - 5*p**b + 5*p**4.
-5*p**2*(p - 1)**2*(p + 1)
Let x = 4/93657 - -499098125/655599. Let i = x - 760. Let 3/7*h**2 + 3/7*h**3 + 0*h + i*h**5 - 15/7*h**4 + 0 = 0. What is h?
-1/3, 0, 1
Let a = 55463/11 + -5041. What is l in a*l + 0 - 2/11*l**3 + 2/11*l**2 = 0?
-2, 0, 3
Let o(r) be the first derivative of r**7/280 - r**6/40 + r**5/20 + 4*r**2 - 1. Let k(x) be the second derivative of o(x). Suppose k(w) = 0. Calculate w.
0, 2
Factor -6*l**4 - 89*l**3 - 42*l**3 + 64*l**2 + 76*l**2 - 75*l**3.
-2*l**2*(l + 35)*(3*l - 2)
Suppose 0 = -q - 3*q + 8. Let n be q + (-48 + -4)/(-2). Factor -52*y**2 + n*y**2 - 6*y + 4 + 26*y**2.
2*(y - 2)*(y - 1)
Let q(n) = -7*n - 37. Let m be q(-7). Let j(h) = 7*h - 80. Let v be j(m). Suppose 0 - 4/3*w**3 + 2/3*w**2 + 2/3*w**v + 0*w = 0. What is w?
0, 1
Let y = 25 - 22. Suppose 15*k + 7 - 3*k**3 + 8*k**y + 12*k**2 + 3*k**2 - 2 = 0. Calculate k.
-1
Let a(z) be the second derivative of -1/150*z**5 + 0 + 1/30*z**4 + 2*z**2 - 2*z + 0*z**3. Let w(h) be the first derivative of a(h). Factor w(l).
-2*l*(l - 2)/5
Suppose -2*m + 13 = 9. Factor -88*o**5 - 32*o**4 + 38*o**3 - 8*o**m + 100*o**5 - 10*o**3.
4*o**2*(o - 1)**2*(3*o - 2)
Let h(s) = -3*s**3 + 12*s**2 + 10*s**3 - 8*s**3 - 11*s + 2. Let c be h(11). Suppose -20*b + 3*b**2 + 2*b**c + 0*b**2 = 0. Calculate b.
0, 4
Let h(m) be the second derivative of -m**5/30 + m**4/6 + m**3 + 47*m**2/2 + 46*m. Let k(n) be the first derivative of h(n). Suppose k(u) = 0. What is u?
-1, 3
Let k be 4/((-16)/(-20)) + -1. Let j be (2/k)/((-8)/(-64)). Determine o, given that 5 + o**2 + 0*o - 5 - o**j + o - o**3 = 0.
-1, 0, 1
Let l(w) be the first derivative of 3*w**4/4 - 5*w**3/2 - 13*w**2/6 - w/2 - 7. Find a, given that l(a) = 0.
-1/3, -1/6, 3
Suppose 12 = 4*t - 0*t + 4*b, t - 6 = -2*b. Suppose 5*u - 22 = x, 2*x + t*u - u = 1. Suppose -c**4 + 2*c**4 + 4*c**x + c**4 + 3*c**5 - 9*c**5 = 0. What is c?
-2/3, 0, 1
Let s(k) be the first derivative of k**4/4 - 4*k**3/3 + 3*k**2/2 + 3*k - 3. Let d be s(3). What is c in -7*c**3 - 7*c + d*c**4 + 3*c**2 + 10*c - 1 - 1 = 0?
-2/3, 1
Let h(t) = -t**3 + 16*t**2 - t + 21. Let p be h(16). Let m be ((-62)/(-14) - p)/(-2). Factor 2/7*d + m*d**2 - 2/7 - 2/7*d**3.
-2*(d - 1)**2*(d + 1)/7
Let s = -239 - -242. Let p(b) be the second derivative of b - 1/10*b**6 + 0*b**s + 0*b**2 + 0 + 9/20*b**5 - 1/2*b**4. Let p(d) = 0. What is d?
0, 1, 2
Factor -77*c - 23*c - 126*c**2 + 41*c**2 + 65*c**2 + 35*c**3.
5*c*(c - 2)*(7*c + 10)
Let t(l) = 2*l**3 - 39*l**2 - 75*l - 34. Let d(n) = -2*n**3 + 38*n**2 + 76*n + 36. Let c(m) = -3*d(m) - 2*t(m). Factor c(v).
2*(v - 20)*(v + 1)**2
Let n(f) be the second derivative of -f**7/840 - f**6/120 - f**5/40 + f**4/2 - 10*f. Let v(l) be the third derivative of n(l). Determine o so that v(o) = 0.
-1
Let t(n) = 2*n**3 + n**2 - 2*n - 1. Let f(w) = 20*w**3 + 17*w**2 - 10*w - 7. Let x(u) = -2*f(u) + 14*t(u). Find s such that x(s) = 0.
-1, -2/3, 0
Let x be 10 - -3*4/(-12). Suppose 7*z - 4*z - x = 0. Factor 16*q - 15*q - z - q**2 + 5 + 0*q**2.
-(q - 2)*(q + 1)
Let l = -14 + 17. Let d(x) = l - 3*x**4 - 2 + 1 + 2*x. Let n(z) = z**5 - z**4 + z**3 - z - 1. Let m(b) = -d(b) - 2*n(b). Factor m(u).
-u**3*(u - 2)*(2*u - 1)
Let g(r) = -r**2 + 22*r - 5. Let d be g(16). Let z = -65 + d. Suppose 24*j**3 - 3 - 22*j**2 + z*j**4 + 3 - 8*j**4 + 4*j = 0. What is j?
-2, 0, 1/3
Let o(u) = -1 - u + 4*u
|
{
"pile_set_name": "DM Mathematics"
}
|
units digit of t(4)?
3
Suppose -4*j = -8727 + 3023. Suppose 0*s - 5*s - 2382 = -2*n, 2*n + j = -3*s. What is the units digit of s/(-36) - (-4)/(-18)?
3
Suppose z + 1 = 6. Suppose 0 = -z*d + 3*d - 2*i + 24, -5*d - 2*i = -48. Suppose 0*v + 2*v = d. What is the units digit of v?
4
Let h be (-3)/((10/6)/(-5)). Let i(c) = -4*c**2 - c. Let a be i(-1). Let m = h + a. What is the units digit of m?
6
Suppose x - 4*x = 12. What is the units digit of (0 + x)*(-4 - -3)?
4
What is the units digit of 3 - ((2 - 4) + -12)?
7
Let r be (-108)/(-16) - (-2)/8. What is the units digit of 1 + r - (-6)/(-3)?
6
Let g be 2/3 + 23/(-3). Let z(v) = v**3 + 8*v**2 + 4*v - 9. What is the units digit of z(g)?
2
Suppose -4*k + 5*c - 11 - 12 = 0, 0 = -4*c - 4. Let t = k - -6. What is the units digit of 3*1 + (t - 0)?
2
What is the units digit of 12 + 3 + -2 + 2?
5
Let s = -10 - -14. Suppose 5*q + 6 - 16 = 0, s*q = 5*t - 2. Suppose -5*p + 17 = 4*j - 7, -2 = -p + t*j. What is the units digit of p?
4
Suppose -8 = 2*o - 3*o. Let a be (10 + -4)*8/6. Suppose -4*w + o = -a. What is the units digit of w?
4
Suppose 3*y = -4*c + 8*c - 28, 8 = c - y. Suppose v + 2*s = 29, 0*v - c*v + s = -125. What is the tens digit of v?
3
Let q = -4 + 14. Suppose -m - m - 25 = -5*r, q = -2*m + 2*r. Suppose -w - w + 6 = m. What is the units digit of w?
3
Suppose -a + 5*a = 0. Suppose 3*z = 2*h + 15 + 21, 5*z + h - 47 = a. What is the tens digit of z?
1
Let p(k) = -k**2 + 5*k + 3. Let t be p(5). Suppose v - 10 = t*w + 2, 0 = -2*v - 3*w + 42. What is the units digit of v?
8
What is the tens digit of 3 + 2244/9 + (-1)/3?
5
Suppose 6*i + 5 = 4*i - l, 0 = -3*i - 3*l - 15. What is the units digit of i/5 - -1*10?
0
Suppose -3*a - 4*w = -5, 3*w = -3*a - 2*w + 4. Suppose -2*s - 2*p = 2*p - 4, 5*s + a*p - 17 = 0. What is the units digit of s?
4
Let w(f) = -f + 1. Let o be w(6). Let m(i) = -6*i - 5. What is the tens digit of m(o)?
2
Let g(z) = 4*z**2 - 2*z - 3. What is the tens digit of g(3)?
2
Let l(n) be the second derivative of -n**5/20 + 7*n**4/12 + 3*n**3/2 - n**2 - 3*n. Let k be 1/(-2) - (-34)/4. What is the units digit of l(k)?
6
Let z = -63 + 199. What is the hundreds digit of z?
1
Let q(w) = -w**2 + 39. Let l be q(0). Suppose 5*u = l + 21. What is the units digit of u?
2
What is the units digit of 2/8 + (-10945)/(-44)?
9
Suppose 3*t - 78 = -0*t. What is the units digit of t?
6
What is the hundreds digit of 1002/8 + (-2)/8?
1
Suppose 0 = -5*p - 0*p. Suppose p*o = 4*o - 12. What is the units digit of o?
3
Suppose 4*j = -3*m + 135 + 383, 2*m - 644 = -5*j. What is the tens digit of j?
2
Suppose -115 = -5*l + a, 3*a = -4*l + 126 - 34. Suppose 6*i = 7*i - l. What is the tens digit of i?
2
Let c(f) = -f**2 + 5*f - 2. Let q be c(5). What is the units digit of (q - 0) + (-27)/(-1)?
5
Let d(v) = -v**3 + 6*v**2 - 4*v + 2. Let n be d(4). Let z(h) = 2*h**2 + 4*h - 3. Let m be z(-5). Let x = m - n. What is the units digit of x?
9
Suppose 4*n = w - 230 + 46, 2*n - 942 = -5*w. What is the units digit of w?
8
Let k(q) = q**2 - 13. Let z be k(0). Let f = 19 + z. Let g = -3 + f. What is the units digit of g?
3
Let v(n) = n**3 + 2. Let w be v(0). Suppose 6 = 3*t - 4*o - w, t + 5*o - 9 = 0. What is the units digit of t?
4
Suppose -3*f + 24 = 3*k, 5*k = -0*k + 3*f + 40. Let r = -5 + k. Suppose -x = 2*x - 15, 0 = -3*i - r*x + 57. What is the units digit of i?
4
Let j = 8 - 4. Suppose -2*i - 10 = -5*b, b - 14 - 10 = -j*i. What is the units digit of b?
4
Let d = 2 + -1. Suppose -d = -c, 2*c - 3*c = -l - 3. Let o(a) = a**2 - 3*a - 1. What is the units digit of o(l)?
9
Suppose 4*u - 53 = -17. Let b = u + 12. What is the units digit of b?
1
Suppose 0 = -3*h + 4*h - 33. What is the tens digit of h?
3
Suppose -5 + 41 = 3*w. Let z = 42 - w. What is the tens digit of z?
3
Suppose 2*i + 3*i = 0. Suppose i = 3*k + 9 + 30. Let g = k - -21. What is the units digit of g?
8
Suppose i + 2*c + 10 = 0, -4*c = -3*i - 14 + 4. Let j(x) be the first derivative of -x**4/4 - 2*x**3 - x**2/2 + 2*x + 7. What is the units digit of j(i)?
8
Let m(d) = 3*d**2 + 2*d + 3. Let u(i) = -i**2 + i - 1. Let b(x) = m(x) + 4*u(x). Let t be b(4). Let o = t - 1. What is the units digit of o?
6
Suppose 4*i + 8 + 4 = 0. Let v be 2 + i*(2 + -3). Suppose -v*r + 2*r = -12. What is the units digit of r?
4
Suppose 3*s = s + 30. What is the tens digit of s?
1
Suppose r + k + 34 = 3*r, -2*r + 34 = 3*k. What is the units digit of r?
7
Let l(o) = -6*o**3 - 2*o**2. Let g be l(-2). What is the units digit of g/6 - (-12)/(-18)?
6
Let i be 5/(-10)*
|
{
"pile_set_name": "DM Mathematics"
}
|
to w in y, i, 1/7?
y
Let a = -0.0996 - -0.1996. Let d = 6/23 - 76/115. What is the nearest to 1 in d, a, -2?
a
Let f = 1.96 + -7.96. What is the closest to -2/7 in f, 4, 2?
2
Suppose 5 = 5*v + 3*m - 6, -3*v + 11 = 4*m. Let g(t) = t + 2. Let n be g(v). Let r = -0.23 + -0.17. What is the nearest to n in 4, -2, r?
4
Let u = -2/43 + -125/86. Let s be 3*(-12 + 9)*1/(-3). Which is the nearest to -1/3? (a) -7 (b) s (c) u
c
Let m = 26 - 20. Let g = 11 - m. Which is the closest to 0.1? (a) 0.2 (b) -1/3 (c) g
a
Let h be (-2)/(-22)*-2 + 0. Let p = -2.666 - 0.134. Let o = -3 - p. Which is the closest to -0.2? (a) o (b) h (c) 5
a
Let v be (-6)/(-1)*2/4. Suppose -j = -v*j. Let t = -16 - -11. Which is the nearest to t? (a) -3 (b) -0.1 (c) j
a
Let p = 2.0748 + -0.0748. Which is the closest to 2? (a) -0.2 (b) p (c) -1/8 (d) -6
b
Let q(d) = d**3 + 5*d**2 + 2*d + 8. Let o be q(-5). Let t = 52 + -365/7. What is the nearest to 1 in t, o, -0.3?
t
Let n = 1.268 + 3.732. What is the nearest to -0.11 in 2/5, 3, 1, n?
2/5
Let t(i) = i**3 + 6*i**2 + i + 6. Let v be t(-6). Suppose v*j - 2*j + 36 = -2*u, -2*u = -8. Let p = j - 19. Which is the nearest to -2/3? (a) -5 (b) p (c) 2
c
Let i = 3343/25 - 669/5. Let x = 0.3 + -0.5. Let m = -0.7 - x. What is the nearest to -2 in m, 4, i?
m
Suppose s - 5 = -2*d, 2*d - 4*s - 74 = -44. What is the closest to 1/2 in -0.1, d, 3?
-0.1
Let z = 0.04 + 0.46. Let s = -8 + 7.2. Let i = z + s. Which is the nearest to 1/2? (a) i (b) -5 (c) 3
a
Let c be ((-48)/24)/((-6)/(-1)). What is the nearest to c in -1/2, 2, -3?
-1/2
Suppose 6*z - 3*k = 3*z + 24, 0 = -2*z + 4*k + 12. Suppose 5*a - 2*a + z = -d, -2*a = 6. What is the nearest to d in 0.5, 0, 2/5?
0
Let j = -0.061 + -75.939. Let g = j + 71. What is the nearest to -0.3 in 2/7, -0.4, g?
-0.4
Let y(v) = -2*v - 10 - v - 5*v - v - v**2. Let k be y(-9). What is the nearest to 3 in 2, -4, k?
2
Let y = -738 - -2216/3. Let s be (-22)/(-12) + 6/(-18). Which is the nearest to y? (a) s (b) -5 (c) -4
a
Let l = -0.1 + -0.3. Let g = -7374.94 + 7375. What is the closest to 1/3 in g, l, 0.3?
0.3
Suppose 4*d - 9 = d. Let g = 6 - 8. Let i = -0.25847 - 0.24153. Which is the nearest to -1/4? (a) d (b) i (c) g
b
Let r = 0.8989 - 0.7989. Let o be 2 - ((-8)/(-6))/2. Which is the closest to 0.02? (a) 4 (b) r (c) o
b
Let x = -337.1 + 337. Which is the closest to x? (a) -5 (b) -3 (c) 5
b
Let b = 0.1 - 0.3. Let v = 47 + -47.21. Let h = -4.21 - v. What is the closest to b in -0.3, -2, h?
-0.3
Let k = -0.42 - -0.02. Let h = 2.98 + 20.92. Let n = h + -24. What is the nearest to -1 in k, 0.2, n?
k
Let v = -646 - -566. What is the closest to v in 3, 2/19, 0.5?
2/19
Suppose -4*w = -4 - 12. Suppose 2*p + 5*o = -w, p = o + o + 7. Which is the nearest to 5? (a) 0.1 (b) p (c) 5
c
Let j = 0.2 - -0.2. Let p = 14051/23 + -611. What is the nearest to -0.1 in -5, j, p?
p
Let n = 13 + -14. Let v = -1/28 - -61/140. What is the closest to v in 2, 4, n?
n
Let s = -2044.9 - -2045. Which is the nearest to s? (a) -2 (b) 7 (c) 9/7 (d) -2/9
d
Suppose 3*s - 3*p + 5*p = -36, 4*s = 2*p - 48. Let z be 14/(-21)*s/28. What is the closest to z in 0.1, 0.16, -0.1?
0.16
Let s = -4337.06 + 4337. Let j = -2 + 7. Which is the closest to -1/4? (a) s (b) j (c) -0.3
c
Suppose -3*x - 2 + 11 = 0. Let f be (x/(-18))/(3/(-6)). Let t = -1 - -1. What is the nearest to t in 1/2, f, 0?
0
Let d = 792 + -792.1. What is the nearest to -1 in -0.18, d, 2?
-0.18
Suppose 0 = 2*q - 3*f, -4*q = -f + 3*f - 32. Let h be q/(-4)*(-20)/6. Suppose 5*z = -h*t + 15, t = -2*z - 1 + 9. What is the closest to t in 3, 5, -5?
-5
Let r be 198/(-10) + 1/(-5). Which is the closest to 0? (a) 1 (b) r (c) -3
a
Let u = -381 + 381.2. Which is the closest to 0? (a) -0.1 (b) u (c) 4 (d) -1/3
a
Let i = -0.7 - -0.3. Suppose -20*v + 22*v - 14 = -5*u, u = -3*v + 8. What is the closest to -3 in i, u, -1/6?
i
Let b(x) = -x**2 - x + 6. Let g be b(2). Let p be (g - (4 + -3)) + 12/10. What is the closest to -0.4 in 3, 2, p?
p
Let l(x) = -x**3 - 9*x**2 - 15*x - 3. Let o(f) = -f**3 - f
|
{
"pile_set_name": "DM Mathematics"
}
|
icking 3 i and 1 o when four letters picked without replacement from {i: 3, o: 3}?
1/5
Two letters picked without replacement from twoo. What is prob of picking 2 o?
1/6
Four letters picked without replacement from {j: 1, h: 2, a: 2, m: 1}. What is prob of picking 2 a and 2 h?
1/15
What is prob of picking 1 i and 1 g when two letters picked without replacement from qwpgi?
1/10
Calculate prob of picking 1 c and 1 m when two letters picked without replacement from clacallmm.
1/9
Three letters picked without replacement from {f: 3, b: 2, k: 2, t: 1, s: 3, o: 7}. Give prob of picking 1 k and 2 f.
1/136
Calculate prob of picking 2 z and 1 k when three letters picked without replacement from zkmm.
0
Four letters picked without replacement from {o: 1, k: 5, v: 3, t: 6, l: 2}. Give prob of picking 1 o, 2 t, and 1 v.
9/476
Calculate prob of picking 3 n when three letters picked without replacement from {w: 6, n: 4}.
1/30
What is prob of picking 2 u when two letters picked without replacement from wuu?
1/3
Calculate prob of picking 2 k when two letters picked without replacement from {w: 1, k: 2}.
1/3
Two letters picked without replacement from {v: 2, x: 7}. What is prob of picking 1 v and 1 x?
7/18
What is prob of picking 1 r, 1 n, and 1 z when three letters picked without replacement from {n: 9, p: 1, r: 2, z: 1}?
9/143
Two letters picked without replacement from {h: 1, m: 1, k: 1, s: 2}. Give prob of picking 2 s.
1/10
Three letters picked without replacement from kpyp. What is prob of picking 2 p and 1 y?
1/4
What is prob of picking 2 k, 1 r, and 1 n when four letters picked without replacement from {n: 11, k: 2, r: 2}?
22/1365
What is prob of picking 2 u and 2 l when four letters picked without replacement from ulqequullqllul?
90/1001
Four letters picked without replacement from {n: 3, z: 1, l: 1, y: 5, s: 1}. What is prob of picking 4 y?
1/66
What is prob of picking 1 d and 1 r when two letters picked without replacement from rdrrddrddddddd?
40/91
What is prob of picking 2 b and 2 g when four letters picked without replacement from {e: 4, g: 3, b: 13}?
78/1615
What is prob of picking 1 a, 1 h, 1 u, and 1 e when four letters picked without replacement from {h: 1, r: 3, a: 2, c: 3, e: 1, u: 1}?
1/165
Calculate prob of picking 2 n and 1 l when three letters picked without replacement from eeenneeenelnulyn.
1/28
Two letters picked without replacement from {z: 9, u: 1, i: 1}. What is prob of picking 1 i and 1 z?
9/55
Three letters picked without replacement from {o: 4, j: 5, k: 5}. Give prob of picking 2 j and 1 o.
10/91
Four letters picked without replacement from lppzqz. Give prob of picking 2 p and 2 z.
1/15
Two letters picked without replacement from jxjxjrzjssxxqr. What is prob of picking 1 s and 1 q?
2/91
Three letters picked without replacement from {i: 10, o: 4}. Give prob of picking 1 o and 2 i.
45/91
Two letters picked without replacement from lkyzkvzkkvlvlkkl. What is prob of picking 2 l?
1/20
Three letters picked without replacement from {j: 4, z: 1, p: 8, o: 6, c: 1}. Give prob of picking 1 z, 1 p, and 1 o.
4/95
Two letters picked without replacement from bbnbnbybnnb. What is prob of picking 2 b?
3/11
Calculate prob of picking 2 m when two letters picked without replacement from {h: 1, k: 2, y: 1, m: 3}.
1/7
Two letters picked without replacement from hhffthfhhhhhhftf. What is prob of picking 2 t?
1/120
Two letters picked without replacement from {b: 3, j: 5, x: 2, v: 3}. Give prob of picking 1 x and 1 b.
1/13
Two letters picked without replacement from mymlhythccll. Give prob of picking 1 y and 1 m.
2/33
Four letters picked without replacement from aabbabbabannaabbblba. What is prob of picking 3 b and 1 a?
224/1615
Two letters picked without replacement from rlnlrnrknrnoss. Give prob of picking 1 l and 1 n.
8/91
Calculate prob of picking 1 s and 2 h when three letters picked without replacement from {h: 3, u: 4, s: 5, l: 1}.
15/286
Calculate prob of picking 2 g when two letters picked without replacement from {y: 7, q: 7, g: 2, k: 2}.
1/153
What is prob of picking 2 m and 2 v when four letters picked without replacement from {m: 2, v: 3, b: 4}?
1/42
What is prob of picking 3 y when three letters picked without replacement from {y: 3, e: 2, o: 5}?
1/120
What is prob of picking 4 g when four letters picked without replacement from {g: 11, i: 9}?
22/323
Calculate prob of picking 3 y and 1 f when four letters picked without replacement from {t: 3, y: 4, f: 1, e: 2, o: 1}.
2/165
What is prob of picking 2 h when two letters picked without replacement from {h: 2, v: 7}?
1/36
Three letters picked without replacement from {g: 4, h: 7, t: 1, u: 4, k: 1}. Give prob of picking 2 h and 1 g.
21/170
What is prob of picking 1 u and 3 j when four letters picked without replacement from ojooouoojuoouuoopooj?
4/4845
Four letters picked without replacement from {g: 2, p: 4, t: 4, u: 9}. Give prob of picking 3 t and 1 u.
3/323
Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {q: 4, m: 1, s: 1, t: 1, h: 1}.
1/28
What is prob of picking 3 u when three letters picked without replacement from uububu?
1/5
Calculate prob of picking 3 d when three letters picked without replacement from {d: 5, f: 9}.
5/182
Four letters picked without replacement from {r: 5, z: 4, g: 2}. Give prob of picking 4 z.
1/330
What is prob of picking 1 c and 2 a when three letters picked without replacement from aaacac?
3/5
Three letters picked without replacement from {a: 4, d: 2, e: 3}. What is prob of picking 3 e?
1/84
What is prob of picking 1 s, 1 t, 1 b, and 1 z when four letters picked without replacement from {y: 1, z: 3, s: 3, b: 7, t: 4}?
7/85
Four letters picked without replacement from hxhxhxhhxh. What is prob of picking 3 h and 1 x?
8/21
Four letters picked without replacement from ayyyvyayyyva. What is prob of picking 1 a, 2 v, and 1 y?
7/165
Two letters picked without replacement from {h: 15, o: 5}. What is prob of picking 2 o?
1/19
What is prob of picking 1 d and 3 b when four letters picked without replacement from bbdbbdbdbbbbbbbbbdbb?
448/969
What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 3, c: 6, p: 4, y: 1}?
3/91
Two letters picked without replacement from {m: 5, x: 2, i: 2, y: 4}. Give prob of picking 2 y.
1/13
What is prob of picking 2 z and 1 t when three letters picked without replacement from tatzttttzttti?
9/286
Calculate prob of picking 2 x when two letters picked without replacement from bbboxxbbbb.
1/45
What is prob of picking 2 h when two letters picked without replacement from {d: 6, h: 2}?
1/28
|
{
"pile_set_name": "DM Mathematics"
}
|
-61
Express 174 - 246 + w - 56 - 4*w as y*w + o and give o.
-128
Express ((-5 - 2 + 5)*(-194*f + 21847 - 21847) - 4*f + 2*f + 3*f)*(-4*f**2 - 2*f**2 + 2*f**2) in the form h*f**3 + d + l*f + r*f**2 and give h.
-1556
Rearrange 3213*c**4 - 4*c - 2*c**3 - 2*c**2 - 3214*c**4 - c**3 to the form r*c**3 + a + j*c**2 + v*c + m*c**4 and give j.
-2
Rearrange (4 - 3 + 1)*(12 - 12 - 2*b**3)*(-b - 11*b + 17*b) to v*b + j*b**2 + q + g*b**4 + h*b**3 and give g.
-20
Express (233*y - 335*y - 231*y)*(1 + 4*y - 2 - 6*y) in the form p*y**2 + z + s*y and give s.
333
Rearrange 190 - 84848*u - 25 - u**2 + 84849*u to q*u + b + g*u**2 and give g.
-1
Rearrange -160*d + 28*d + 56*d - 145*d to y + v*d and give v.
-221
Express 22 - 78 + 15 + 5*z + 35 + 29 as a + d*z and give a.
23
Rearrange 76*l**4 - 6*l - 2 - 15*l - 5*l + 28*l to o*l**4 + j*l**3 + n*l + a*l**2 + y and give n.
2
Express 31*p**4 - 5*p**4 - 8*p**4 - 8*p**4 + 5*p**2 - 8*p**4 - p**3 - 5*p as z + c*p + n*p**3 + s*p**2 + b*p**4 and give b.
2
Express 7969*a - 7969*a + 138*a**3 - 2*a**3 + 2*a - 2*a + (2*a**2 - 1 + 1)*(-2*a - 2 + 2) in the form r*a + t*a**2 + m*a**3 + x and give m.
132
Rearrange (-4*l**2 + 4*l - 4*l)*((2 + 1 - 4)*(4 - 2 + 0) - 7 + 21 - 41 + (0 - 5 + 3)*(-2 + 2 + 1)) to s*l + k*l**2 + x and give k.
124
Express -46 - 44 + 183*d**2 + 90 - 48*d**2 in the form c + w*d + i*d**2 and give i.
135
Rearrange 2*m**4 + 11*m**3 - 11*m**3 + 28*m + 38 - 3*m**2 - 30*m - 2*m**3 + 0*m**4 to the form r + d*m**3 + x*m**4 + p*m**2 + o*m and give o.
-2
Rearrange (10 - 9 + 7)*(-6*l + l + 2*l)*(2*l + 8*l - 4*l) to b*l + i + n*l**2 and give i.
0
Rearrange -19 - 23*j**3 + 2*j**3 - 7*j**3 - 29 to the form x*j + k + a*j**2 + z*j**3 and give z.
-28
Express -89*s - 115 + 121 + 30*s as q + j*s and give q.
6
Express -2*d**3 + 3*d**3 - 4746 + 45*d + 12*d**2 + 4745 in the form f*d**2 + i*d**3 + c + y*d and give i.
1
Rearrange -677 - 7*l + 2*l**2 + 12*l + 314 - 8*l to the form n + y*l**2 + i*l and give y.
2
Rearrange -8 - 13602*f**2 + 13611*f**2 + 1 to p + x*f**2 + q*f and give x.
9
Express -13*b**2 + b**2 + 4*b**2 - 15*b**2 + 26 - 6 as v*b + a + f*b**2 and give f.
-23
Rearrange -4 - 6 + 13 + t + t**2 - 4*t + 31*t**4 to the form l*t + a*t**4 + c*t**2 + p*t**3 + u and give c.
1
Rearrange 248*h + 671*h - 197*h + 645*h to z + n*h and give n.
1367
Rearrange 9*u**4 - 19*u**4 - 2*u**2 + 34*u + 5*u**4 + 2*u**3 - 1 + 0*u**4 + 6*u**4 to the form l*u**2 + q*u**4 + h + k*u**3 + r*u and give k.
2
Rearrange (-37*p**2 + 168 - 168)*(0*p**2 - 44 + 9 + 2*p**2) to the form u*p**3 + z*p**2 + a + x*p**4 + m*p and give z.
1295
Express -15961 + 15961 + 7*u**2 + 62*u**3 + 2*u as z*u + c*u**3 + t + n*u**2 and give n.
7
Rearrange -2351*g + 1084*g + 1055*g to the form a + p*g and give p.
-212
Rearrange 112*k**3 - 64*k**3 - k**2 + 2*k**2 - 9 - k**4 - 50*k**3 to the form b*k**4 + m + i*k**2 + z*k + s*k**3 and give b.
-1
Rearrange -2*g + 1 + 6 - 5 + 14*g**2 to the form j*g + n + i*g**2 and give j.
-2
Express (-97 - 33 + 278)*(5*q - 2*q - q - 1) as x*q + a and give x.
296
Rearrange -13*d + 19 + d + 6 - 16 to the form b*d + u and give b.
-12
Express -3*k**4 + 0*k**4 + 2*k**4 + 9*k**4 + 11*k**4 + k**4 + (3 - 3 + 9*k**4)*(-2 - 2 + 3) as j + x*k + b*k**2 + t*k**3 + z*k**4 and give z.
11
Rearrange -658 + 10*f**3 + 2*f**4 - f**2 + 659 - 4*f**3 to the form a*f**2 + g*f**3 + h*f + d*f**4 + u and give d.
2
Rearrange (-1857 + 1857 + 20*b**3)*(2*b - 1 + 1) to the form c*b**3 + s*b + h*b**4 + r*b**2 + o and give h.
40
Rearrange -238*k**2 - 536 + 536 to the form r*k**2 + b + h*k and give r.
-238
Rearrange 241*h**3 + h**4 - 2*h**4 - 245*h**3 + 2 + 2*h**2 + 0 to z*h**4 + u*h + j*h**2 + w + v*h**3 and give v.
-4
Rearrange 66*y + 12 - 7 - 3 to a*y + s and give a.
66
Rearrange (0 - 3 - 1)*(0 - 4 + 3)*(0 + k + 0) to the form z*k + v and give v.
0
Rearrange (-2*x - x**3 + 2*x)*(-2 + 3 + 2)*(63*x - 5*x + 18*x) to the form i*x**4 + h + u*x**2 + n*x**3 + a*x and give i.
-228
Express (3*o**2 - 3*o**2 - o**2)*(-3*o + 2*o - 2*o)*(-4 + 2 + 0) + 24*o**3 + 3*o**3 + 14*o**3 - o + 4*o
|
{
"pile_set_name": "DM Mathematics"
}
|
What is -0.816323 rounded to three decimal places?
-0.816
What is 4.9876083 rounded to two decimal places?
4.99
What is -0.000855701 rounded to 7 decimal places?
-0.0008557
What is -918934.5 rounded to the nearest ten thousand?
-920000
What is -121.16698 rounded to 1 decimal place?
-121.2
Round -175562600 to the nearest 100000.
-175600000
What is 0.0000004107 rounded to 7 decimal places?
0.0000004
Round -73.439 to the nearest one thousand.
0
Round -0.0000009307701 to seven decimal places.
-0.0000009
Round -0.0000550695 to 6 decimal places.
-0.000055
What is -0.00000467202 rounded to 5 dps?
0
Round -0.00005288057 to five dps.
-0.00005
What is 47022.88 rounded to the nearest ten?
47020
Round 0.00000416808 to 7 dps.
0.0000042
What is 119045.21 rounded to the nearest 100000?
100000
Round -0.0076728 to 3 dps.
-0.008
What is -0.00531112 rounded to 5 decimal places?
-0.00531
Round -17004.127 to the nearest one thousand.
-17000
What is -0.0000596593 rounded to six decimal places?
-0.00006
What is 28.76672 rounded to the nearest integer?
29
Round -20994.61 to the nearest 1000.
-21000
Round -0.1350664 to 2 decimal places.
-0.14
Round -2390.249 to the nearest ten.
-2390
What is 2472768000 rounded to the nearest one million?
2473000000
What is 5.768298 rounded to 2 dps?
5.77
What is -184504 rounded to the nearest one hundred thousand?
-200000
Round -8261.611 to the nearest one hundred.
-8300
What is -0.006757895 rounded to 3 decimal places?
-0.007
What is 0.000002324602 rounded to seven decimal places?
0.0000023
What is 4347500 rounded to the nearest 100000?
4300000
What is -0.00002813837 rounded to six dps?
-0.000028
Round -0.00003525167 to 6 dps.
-0.000035
Round 16927 to the nearest one hundred thousand.
0
What is -81052000 rounded to the nearest one million?
-81000000
What is -81.07332 rounded to one decimal place?
-81.1
Round -0.0002643641 to seven decimal places.
-0.0002644
Round 0.000154693 to 6 dps.
0.000155
What is -1797776 rounded to the nearest ten thousand?
-1800000
Round 269841700 to the nearest 100000.
269800000
What is 55441.38 rounded to the nearest ten?
55440
What is -5.05893 rounded to two dps?
-5.06
Round -353728.93 to the nearest 100.
-353700
Round 0.32189006 to three decimal places.
0.322
Round 1383434500 to the nearest one hundred thousand.
1383400000
Round -363.3865 to one decimal place.
-363.4
What is -13726330 rounded to the nearest 10000?
-13730000
Round 328127 to the nearest ten thousand.
330000
Round -0.0286577 to five dps.
-0.02866
Round -3.58676 to 1 decimal place.
-3.6
Round 0.00000022415 to 6 dps.
0
What is 0.0164236 rounded to five dps?
0.01642
What is -868.118 rounded to 0 decimal places?
-868
What is -0.00013287246 rounded to five decimal places?
-0.00013
What is 0.00287799 rounded to five dps?
0.00288
What is -1148483 rounded to the nearest one thousand?
-1148000
What is -32.86384 rounded to 1 decimal place?
-32.9
Round 0.24106116 to three dps.
0.241
What is -2.259107 rounded to three dps?
-2.259
Round 0.830006 to 2 dps.
0.83
What is -697960 rounded to the nearest 10000?
-700000
What is 0.2502755 rounded to three decimal places?
0.25
What is -80000900 rounded to the nearest one hundred thousand?
-80000000
Round -568096500 to the nearest one hundred thousand.
-568100000
Round -58525 to the nearest ten thousand.
-60000
What is -0.00000263633 rounded to 7 decimal places?
-0.0000026
Round 431.9754 to one decimal place.
432
What is -1188.761 rounded to the nearest 1000?
-1000
What is -0.000000249677 rounded to seven decimal places?
-0.0000002
What is -0.01490784 rounded to three dps?
-0.015
What is -4089.27 rounded to the nearest 10?
-4090
What is -0.00001944747 rounded to seven decimal places?
-0.0000194
Round 0.01187736 to four decimal places.
0.0119
Round 3874.44 to the nearest 100.
3900
Round -0.0773528 to four decimal places.
-0.0774
Round 0.000076036 to 7 decimal places.
0.000076
What is 351355400 rounded to the nearest 1000000?
351000000
Round -18789458 to the nearest 10000.
-18790000
Round -4698.03 to the nearest one thousand.
-5000
What is 307.44244 rounded to 1 decimal place?
307.4
What is 0.0031316228 rounded to five decimal places?
0.00313
Round -111181000 to the nearest 100000.
-111200000
What is 108771000 rounded to the nearest one million?
109000000
Round -0.00000475 to five dps.
0
Round 3670199 to the nearest 100000.
3700000
Round 1844790 to the nearest one hundred thousand.
1800000
What is -9635090 rounded to the nearest 1000000?
-10000000
Round 0.0029848664 to six dps.
0.002985
What is -2058094 rounded to the nearest 100000?
-2100000
What is 0.0008202 rounded to five decimal places?
0.00082
Round -0.0006018772 to 4 dps.
-0.0006
What is -4.52195 rounded to 1 decimal place?
-4.5
Round 171623.667 to the nearest ten thousand.
170000
Round 112396330 to the nearest one hundred thousand.
112400000
Round -480590 to the nearest 1000.
-481000
Round 0.000492676 to 3 decimal places.
0
Round 2588883.1 to the nearest 1000.
2589000
Round -3.07958 to 1 dp.
-3.1
Round 0.00019597 to three dps.
0
Round 203.74 to one dp.
203.7
What is 0.000197859 rounded to six dps?
0.000198
Round 7.41552 to the nearest integer.
7
What is 1.8514196 rounded to two decimal places?
1.85
What is 170.66706 rounded to the nearest 10?
170
What is 0.00001026155 rounded to 7 dps?
0.0000103
What is -0.18002753 rounded to 3 decimal places?
-0.18
Round 0.0003795 to four dps.
0.0004
Round 1038.445 to the nearest 100.
1000
What is 42.5458 rounded to the nearest 10?
40
What is -495318.6 rounded to the nearest ten thousand?
-500000
Round 0.07259661 to two decimal places.
0.07
Round -0.13042449 to three decimal places.
-0.13
Round 38276.111 to the nearest one thousand.
38000
Round -157.272 to the nearest one hundred.
-200
What is -497223 rounded to the nearest 10000?
-500000
What is 0.004296327 rounded to five dps?
0.0043
Round -0.00081075 to six dps.
-0.000811
Round 0.00045368 to 5 dps.
0.00045
Round -142004.9 to the nearest ten thousand.
-140000
What is 58207420 rounded to the nearest one million?
58000000
What is 12.8
|
{
"pile_set_name": "DM Mathematics"
}
|
0?
1334121
In base 15, what is -5 - 2b9cc?
-2b9d2
In base 8, what is 2 - 47254?
-47252
In base 6, what is 13541 - 10?
13531
In base 14, what is -1 - 89b91?
-89b92
In base 16, what is 64 - 1739?
-16d5
In base 16, what is 15b2 - 4?
15ae
In base 16, what is 36401 - 8?
363f9
In base 2, what is 100 + -1100111010?
-1100110110
In base 15, what is 0 - -10ccb?
10ccb
In base 7, what is 54 + 664?
1051
In base 12, what is 4652 + 256?
48a8
In base 13, what is -a38 - 7?
-a42
In base 4, what is -303 + 13002121?
13001212
In base 13, what is 32c + 1b36?
2165
In base 15, what is 5de + 5b?
64a
In base 16, what is -8 - -666b?
6663
In base 3, what is 122222221120 - 12?
122222221101
In base 13, what is -45 - 7388?
-7400
In base 11, what is 148a + 6a?
1549
In base 4, what is 103221112 - 21?
103221031
In base 16, what is 70164 - -3?
70167
In base 15, what is 30 + -1d0?
-1a0
In base 14, what is -6085 + -c?
-6093
In base 13, what is -7 - -51ca1?
51c97
In base 13, what is 28c0 + -2?
28bb
In base 9, what is -130074 - -2?
-130072
In base 12, what is -23 - -4002a?
40007
In base 13, what is 6ab + -7?
6a4
In base 15, what is 444 + 6d6?
b2a
In base 10, what is 6 - -3627?
3633
In base 2, what is 110011000 - -10?
110011010
In base 14, what is -5 + -157807?
-15780c
In base 16, what is 3 + -c7e7?
-c7e4
In base 4, what is -100233 + 23?
-100210
In base 12, what is 2 - 5a9a?
-5a98
In base 9, what is -306085 - 4?
-306100
In base 3, what is 2021211121 - -1102?
2021220000
In base 7, what is 5 - -26564?
26602
In base 11, what is -10203 + -33?
-10236
In base 3, what is 200202 - 22020?
101112
In base 15, what is 4ebc - -ed?
50ba
In base 15, what is 155b5 - -1?
155b6
In base 10, what is -4 - 24145?
-24149
In base 7, what is 400 - -3333?
4033
In base 15, what is -5 + 315?
310
In base 11, what is 78549 + 7?
78555
In base 8, what is 527 - -1146?
1675
In base 14, what is -13 - db7?
-dca
In base 12, what is 12b2 - 329?
b85
In base 4, what is -133210000 - -3?
-133203331
In base 14, what is 13b40 + 0?
13b40
In base 2, what is -101111010 + -11100110?
-1001100000
In base 16, what is 2db + 8c?
367
In base 14, what is -7 + -66bb3?
-66bba
In base 11, what is 1a1027 + -4?
1a1023
In base 14, what is -17ca + -8?
-17d4
In base 16, what is 1 - 230a?
-2309
In base 15, what is -8 - -58b?
583
In base 6, what is -4 - -245324?
245320
In base 15, what is 3700 + -5?
36ea
In base 3, what is -21022 + -1100111?
-1121210
In base 16, what is -756 + -3?
-759
In base 12, what is -2b756 - -55?
-2b701
In base 4, what is -12 + 11131120?
11131102
In base 16, what is 0 + -b43cf?
-b43cf
In base 13, what is 1 + 13180?
13181
In base 3, what is 10122112010202 + -1?
10122112010201
In base 5, what is -43011 - 3141?
-101202
In base 15, what is -41ec - 5?
-4202
In base 16, what is 7df - 2f?
7b0
In base 8, what is 17401325 + -2?
17401323
In base 9, what is 268303 - 3?
268300
In base 3, what is 0 - 10121102010?
-10121102010
In base 10, what is 5 + 387851?
387856
In base 9, what is 5 + -11567?
-11562
In base 11, what is 28 - -6049?
6076
In base 12, what is -30081 + 1?
-30080
In base 3, what is 2220111 - -220?
2221101
In base 2, what is 10001010010 + -11?
10001001111
In base 8, what is -171 + -157?
-350
In base 10, what is -18 - 1633?
-1651
In base 10, what is -553 + 8637?
8084
In base 15, what is -4 + 291d?
2919
In base 10, what is 30529 + 1?
30530
In base 4, what is 11112 + -31023?
-13311
In base 16, what is -231 - -14?
-21d
In base 14, what is -231c2 + 0?
-231c2
In base 3, what is 1120202020121 + 2?
1120202020200
In base 16, what is -96 + 143?
ad
In base 13, what is 3 - -1b047?
1b04a
In base 16, what is -472 - be?
-530
In base 4, what is -23030301202 + -11?
-23030301213
In base 5, what is -101443 - 2?
-102000
In base 6, what is -3 + 523255?
523252
In base 8, what is 341676 - 5?
341671
In base 9, what is 2655605 + -2?
2655603
In base 5, what is -2124 + -143?
-2322
In base 12, what is -3 + -39bb1?
-39bb4
In base 8, what is -1 + 426050?
426047
In base 3, what is -1120211100101 + 11?
-1120211100020
In base 12, what is 34 + -5ba01?
-5b989
In base 9, what is 2722284 - 0?
2722284
In base 3, what is 102202221 + -101?
102202120
In base 11, what is 894 - 42?
852
In base 9, what is -17 + 24882?
24864
In base 14, what is -b1530 + -2?
-b1532
In base 12, what is 4 + -233b?
-2337
In base 4, what is 222201 - -30?
222231
In base 12, what is -1036 - 24?
-105a
In base 14, what is 29 + -63?
-38
In base 3, what is 1 + 10121212002?
10121212010
In base 2, what is -111001101100010 + -10?
-111001101100100
In base 14, what is -454 - -13d?
-315
In base 10, what is -201443 + 0?
-201443
In base 4, what is -121 + -2301131?
-2301312
In base 11, what is 5 + -17060?
|
{
"pile_set_name": "DM Mathematics"
}
|
= 51*t + 4. Let o be a(7). What is the greatest common factor of 19 and o?
19
Suppose 5*s - 172 - 140 = 3*i, -5*i = -4*s + 260. Suppose 0 = -g - n + 12, 5*g - n - s = -2*n. What is the highest common factor of 8 and g?
4
Let n be ((-4)/(-3) + 2)*-93. Let t = -533 - n. Let v = -157 - t. Calculate the greatest common divisor of v and 6.
6
Suppose -4*s + 4*u + 793 = -719, -5*s - 3*u + 1866 = 0. Let a be (s/100)/(2/24). Calculate the greatest common divisor of 30 and a.
15
Suppose -37*s = -35*s - 90. Calculate the highest common factor of s and 120.
15
Let i = 678 - 533. What is the highest common divisor of 25 and i?
5
Let u(v) = -v - 6*v - v + 4*v + 6 + v**3 + 5*v**2. Let l be u(-6). Let k be (108/24)/(l/(-8)). What is the greatest common factor of k and 24?
6
Let l = -135 + 304. What is the greatest common factor of 13 and l?
13
Let t(c) = 12*c**2 - 4*c + 4. Let q be t(1). Calculate the greatest common divisor of 204 and q.
12
Let k = -6 - -15. Suppose 11*b = k*b + 96. What is the greatest common divisor of 16 and b?
16
Suppose 4*f = p - 0*p - 18, -f + 38 = 4*p. Let w(s) = -3*s**2 + 5*s - 8. Let c be w(4). Let z = c + 56. What is the greatest common factor of z and p?
10
Let w = 128 - -647. Calculate the greatest common factor of 93 and w.
31
Suppose -4*c + 2*u = 5*u + 24, 12 = -3*u. Let r be (-24)/5*(-27 + c)/1. What is the highest common divisor of 18 and r?
18
Let h(y) = -y**2 - 91*y - 856. Let r be h(-11). Suppose b - 4*b - 804 = -3*c, 5*b = c - 284. Calculate the highest common divisor of c and r.
24
Let p be ((-34)/8)/((-2)/8). Let k be 4/(-2) - 108/(-6). Let q be 309/9 - (k/12)/4. Calculate the greatest common divisor of q and p.
17
Suppose 282 = 120*n - 2598. Let x(v) = -v**2 + 9*v - 6. Let d be x(6). Calculate the highest common factor of n and d.
12
Let h(v) be the second derivative of -79*v**5/4 + v**4/12 + v**3/6 + v**2/2 + 33*v. Let a be h(-1). What is the greatest common divisor of a and 36?
36
Suppose h + 10 - 4 = 0. Let f be (h - -5)/(3 + -4). Calculate the highest common divisor of 1 and f.
1
Let o be 150 + -1 - (-60)/15. Calculate the greatest common factor of 27 and o.
9
Let q be -350*(-32)/(-40)*-5. Calculate the greatest common factor of q and 7.
7
Suppose u - 6*u - 20 = 0. Let g(r) = 2*r**2 - 6*r - 1. Let q be g(u). Let i be q/(2/2)*1. What is the greatest common divisor of 5 and i?
5
Suppose -u - 16 = 8. Let p be (5/(-20))/(2/u). Let m(l) = -l**2 + 12*l - 29. Let v be m(8). Calculate the greatest common divisor of p and v.
3
Suppose -226 = -3*l - 4*v, 8*v = 5*l + 5*v - 425. What is the greatest common factor of l and 738?
82
Let y(d) = d**3 - 21*d**2 - 46*d + 2. Let b be y(23). Suppose 0 = k + b*k - 648. What is the highest common factor of 27 and k?
27
Suppose y + 0 - 16 = 0. Let r be y/(-8) - 4/2. Let z be 110/r*42/(-35). Calculate the greatest common factor of 11 and z.
11
Suppose 5*f - 11 = -3*b + 2*b, -3*b = f - 5. Suppose -2*x - 2*w = 36 - 0, 3*x - f*w + 79 = 0. Let m = x + 39. What is the highest common factor of m and 112?
16
Let l = -10 + -22. Let w = 42 + l. What is the greatest common divisor of w and 25?
5
Let o = -47 - -53. Let u(k) = k**3 - 6*k**2 + 7*k - 6. Let c be u(6). Calculate the highest common factor of o and c.
6
Let f = 89 - 129. Let r = f + 115. What is the highest common factor of r and 15?
15
Let h(f) = -3*f**2 + 5*f - 5. Let n be h(3). Let z = 35 + n. Suppose -3*i + i + 3*c = -30, 2*i = -5*c + 46. What is the greatest common factor of z and i?
18
Suppose -2*w = 4*b - 70, 4*w - 2*b = -0*b + 150. Let v = w - 15. What is the highest common factor of 2 and v?
2
Suppose 2 + 68 = 7*a. Suppose 30 = 4*d - a. Calculate the highest common divisor of 4 and d.
2
Suppose -r = r - 4. Suppose -9 = -3*g - 5*k, r*k + 25 = 2*g - k. Suppose g*q - 210 = 5*q. What is the highest common factor of 10 and q?
10
Let g(w) = 6*w**2 + 12*w + 47. Let d be g(8). Calculate the highest common divisor of d and 31.
31
Let y(w) = 5*w**3 + 17*w - 16*w - w**2 - 2*w**2. Let t be y(2). Let z = t - 9. What is the highest common divisor of z and 14?
7
Let j be -4*3/(-12)*133. Calculate the greatest common divisor of 152 and j.
19
Suppose 25*j - 31 = 24*j. Calculate the highest common factor of 217 and j.
31
Suppose 15*j = 46 + 14. Let r be (6/j)/3 + (-1462)/(-68). Let o(m) = -23*m - 1. Let q be o(-1). What is the highest common divisor of q and r?
22
Let j be (6 + -2 + 1)*-1. Let o = 114 + -89. Let a = o + j. Calculate the highest common factor of a and 20.
20
Let h be 1/(-11) + 13425/55. Calculate the highest common factor of 183 and h.
61
Let a = -73 - 59. Let m be 1/(-5) + a/(-10). Let y(c) = -45*c + 1. Let l be y(-2). Calculate the highest common factor of l and m.
13
Let x = -8 + 11. Suppose 3 = -x*t + 9. Suppose -3*z + 51 = -0*n - 3*n, z = t*n + 22. Calculate the greatest common divisor of 84 and z.
12
Suppose 5*d + 328 = -4*h, -5*h - d + 6*d - 455 = 0. Let a = 25 - h. Suppose -3*c + 48 = -0*c. What is the highest common divisor of c and a?
16
Suppose -3*f = -h, 0 = 4*h + 2*f - 5*f. Suppose 2*w - 4*w + 14 = h. Suppose -3*g + 186 - 39 = 0. Calculate the greatest common divisor of g and w.
7
Suppose -2*z = z - 30. Let k(s) = 54*s + 1154. Let i be k(-21). Calculate the greatest common divisor of z and i.
10
Suppose 0 = -2*j - 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 527892339844.
-4*(q + 363281)**2
Solve -14*u**5/15 + 10*u**4 - 388*u**3/15 + 116*u**2/15 + 134*u/5 - 266/15 = 0.
-1, 1, 19/7, 7
Let 2*c**3/17 + 1534*c**2/17 - 6168*c/17 = 0. Calculate c.
-771, 0, 4
Factor -h**2 + 545*h + 546.
-(h - 546)*(h + 1)
Suppose k**5/3 + 158*k**4/3 + 2945*k**3/3 - 6368*k**2/3 + 1088*k = 0. What is k?
-136, -24, 0, 1
Find z, given that 3*z**4 - 2166*z**3 + 368691*z**2 + 8044764*z + 39640608 = 0.
-12, -8, 371
Let -2*y**4/11 + 324*y**3/11 - 14346*y**2/11 + 8960*y - 12936 = 0. What is y?
2, 6, 77
Factor q**3/2 - 43*q**2 - 7477*q/2 + 7645.
(q - 139)*(q - 2)*(q + 55)/2
Let -2*a**3/17 - 6516*a**2/17 + 85046*a/17 = 0. What is a?
-3271, 0, 13
Factor v**2 - 23826*v + 141919569.
(v - 11913)**2
Let w**4 + 9*w**3 - 895*w**2 + 5019*w - 7326 = 0. Calculate w.
-37, 3, 22
Factor 4*u**2 + 417852*u + 835688.
4*(u + 2)*(u + 104461)
Factor s**3 - 1472*s**2 + 501396*s + 30193488.
(s - 762)**2*(s + 52)
Factor 4*p**3/3 + 4019*p**2/3 + 66179*p/3 - 16796/3.
(p + 17)*(p + 988)*(4*p - 1)/3
Factor -w**2/2 + 88491*w - 7830657081/2.
-(w - 88491)**2/2
Let -5*t**4 - 380*t**3 - 6145*t**2 - 11170*t - 5400 = 0. What is t?
-54, -20, -1
Factor -2*s**4/5 + 126*s**3/5 + 52136*s**2/5.
-2*s**2*(s - 196)*(s + 133)/5
Factor f**2 - 9510*f - 95200.
(f - 9520)*(f + 10)
Let -s**3/3 - 137*s**2 + 138*s + 824/3 = 0. What is s?
-412, -1, 2
Factor x**3/7 - 3023*x**2/7 - 6049*x/7 - 3025/7.
(x - 3025)*(x + 1)**2/7
Let -4*b**3 + 37068*b**2 - 74124*b + 37060 = 0. What is b?
1, 9265
Factor -g**2/4 - 170339*g/4 - 85169/2.
-(g + 1)*(g + 170338)/4
What is g in -2*g**4/3 + 1030*g**3/3 - 7014*g**2 + 145922*g/3 - 338884/3 = 0?
7, 494
Factor -2*j**3/5 - 144*j**2/5 + 1106*j/5.
-2*j*(j - 7)*(j + 79)/5
Determine g so that -g**5/4 + 5161*g**4/4 + 36193*g**3/4 - 87865*g**2/4 + 11628*g = 0.
-9, 0, 1, 5168
Factor -k**2/10 - 1433*k/10 - 22416/5.
-(k + 32)*(k + 1401)/10
Factor 2*y**5 + 18*y**4 - 2*y**3 - 18*y**2.
2*y**2*(y - 1)*(y + 1)*(y + 9)
What is w in -4*w**5 + 40*w**4 + 184*w**3 - 1408*w**2 - 4788*w - 3240 = 0?
-5, -2, -1, 9
Determine b, given that 2*b**3/5 - 172*b**2 + 109056*b/5 - 3391488/5 = 0.
46, 192
Find d such that -d**2/7 - 2*d/7 + 57 = 0.
-21, 19
Factor -l**3/3 + 1916*l**2/3 - 19085*l/3 + 47650/3.
-(l - 1906)*(l - 5)**2/3
Solve -5*w**2 + 145*w + 5610 = 0 for w.
-22, 51
Let -3*w**5 - 90*w**4 - 384*w**3 + 9522*w**2 + 89235*w + 178200 = 0. Calculate w.
-15, -8, -3, 11
Suppose w**5/2 - 195*w**4 - 11705*w**3/2 + 195*w**2 + 5852*w = 0. Calculate w.
-28, -1, 0, 1, 418
Suppose -5*x**4 - 4850*x**3 - 14485*x**2 + 19340*x = 0. What is x?
-967, -4, 0, 1
Suppose 4*l**3/3 - 92*l**2/3 - 1800*l = 0. What is l?
-27, 0, 50
Let 5*c**5 - 1350*c**4 - 8280*c**3 = 0. Calculate c.
-6, 0, 276
Determine x, given that 5*x**4 + 3435*x**3 + 207265*x**2 + 3176085*x - 3386790 = 0.
-622, -33, 1
Determine h so that 2*h**2/11 + 224*h/11 - 928/11 = 0.
-116, 4
Solve 27*u**5 - 1884*u**4 + 13404*u**3 - 23712*u**2 - 5952*u = 0 for u.
-2/9, 0, 4, 62
Find y such that -5*y**3 + 1295*y**2 - 5115*y + 3825 = 0.
1, 3, 255
Solve -b**4 - 5703*b**3 - 8280075*b**2 - 422973125*b = 0 for b.
-2825, -53, 0
What is f in 5*f**5 - 145*f**4 + 1015*f**3 - 1115*f**2 - 2280*f = 0?
-1, 0, 3, 8, 19
Solve 192303*i**2/5 - 8554*i + 8/5 = 0 for i.
4/21367, 2/9
Factor 2*t**2/11 - 796582*t/11.
2*t*(t - 398291)/11
Solve z**2/7 + 96*z/7 - 1296/7 = 0 for z.
-108, 12
Factor 2*s**2/5 + 1286*s/5 + 157112/5.
2*(s + 164)*(s + 479)/5
Solve a**2 - 6855*a - 6856 = 0 for a.
-1, 6856
Determine o so that 2*o**4 + 114*o**3 + 622*o**2 - 31746*o = 0.
-37, -33, 0, 13
Let -2*h**4 + 726*h**3 - 95658*h**2 + 5335234*h - 102903612 = 0. Calculate h.
42, 107
Suppose -3*d**4 - 3561*d**3 - 1047780*d**2 + 5313936*d - 4262592 = 0. What is d?
-596, 1, 4
Factor -5*h**2 - 1681765*h - 1681760.
-5*(h + 1)*(h + 336352)
Find n, given that -98283*n**5/2 - 8850
|
{
"pile_set_name": "DM Mathematics"
}
|
s the closest to 2/31 in -1, -39, 3/7, -0.029, -2/11, 2/15?
2/15
What is the nearest to 2/7 in 2208, 0, -132?
0
Which is the closest to 64? (a) 2/15 (b) 1/5 (c) 756 (d) 0.5 (e) 5/2
e
What is the nearest to -67 in -5/4, -0.3, -23, 18?
-23
Which is the closest to 0? (a) 30/7 (b) -2/9 (c) 5 (d) 14 (e) 8
b
What is the closest to -4 in 93, -2, 1, -3.82, 3?
-3.82
Which is the closest to 2/33? (a) -113 (b) -1/3 (c) 37/5 (d) -0.2 (e) 2/15
e
What is the nearest to -19 in -16, 4, -5, 0.14?
-16
What is the closest to -0.37 in 2266/9, 0, -0.2?
-0.2
What is the nearest to -1/4 in -0.10099, -3/2, -0.3?
-0.3
What is the nearest to -0.3 in 3.1, 5, -30, -18/5?
-18/5
Which is the nearest to 9? (a) 2 (b) -12 (c) -5 (d) 0.83 (e) -0.35
a
Which is the nearest to -1/8? (a) 99 (b) -11 (c) -137/3
b
Which is the closest to -3/314? (a) 0.04 (b) -4.1 (c) -1/8 (d) 0.3 (e) -1/2
a
What is the nearest to -0.85 in -2/3, -0.1, 0.09, 7289?
-2/3
What is the closest to -1 in -11.18, -3, 5/707?
5/707
What is the closest to -1/5 in 4, -0.3, -91, -4, -2142.4?
-0.3
Which is the nearest to -2? (a) 1/10 (b) -0.1 (c) 1.804762
b
Which is the closest to 1.6? (a) 5/11 (b) -3 (c) 5 (d) -4 (e) 17/2
a
What is the nearest to -2/5 in 0.4, -16.47, 1/5, -2/5, -2/17, 16/11?
-2/5
What is the closest to 0.2 in -9, 0.2, -286714?
0.2
What is the nearest to 0.295 in -18, 5, 56, -0.09?
-0.09
Which is the nearest to 175? (a) -15 (b) -0.6 (c) -1 (d) 2/13
d
Which is the nearest to -1192? (a) 0.69 (b) 1/3 (c) 11 (d) -1/3
d
Which is the nearest to -1? (a) -3/10 (b) -1/2 (c) 0.4 (d) -2/43 (e) 2513
b
What is the closest to 31.6 in 289, 2, -2/19, 1.4, 3?
3
Which is the nearest to 13.5? (a) -7/2 (b) -0.3 (c) 0.6
c
Which is the nearest to -1? (a) -10/11 (b) -1/2 (c) -0.4 (d) 4 (e) -1/80055 (f) 0
a
What is the nearest to -5/3002 in 16/5, -6/13, 3/7?
3/7
What is the closest to 20 in 0.5, -4, -1/2, 638?
0.5
What is the closest to -1/3 in 2/9, 285/8, -9/16?
-9/16
Which is the nearest to -0.1? (a) 39 (b) -194 (c) -3 (d) 5 (e) 11 (f) 10
c
What is the nearest to 128 in 15, 34, 12?
34
What is the nearest to -1/3 in 8, 698, -0.5, 10.33?
-0.5
Which is the closest to -10.65? (a) -6 (b) -1 (c) -0.3 (d) 4149
a
Which is the closest to 0.40282? (a) 8 (b) -0.3 (c) 2/35 (d) 5
c
What is the nearest to -2100622 in -1, -5, 3/37?
-5
What is the closest to -1 in -2611/2, 1/7, -11, 0.4?
1/7
What is the closest to -14 in -3/4, 14, -15.5, -0.15, -2, 0.5?
-15.5
What is the closest to -522 in -5, -2, 0.4, -0.1, 1?
-5
What is the closest to 0.3 in -12, 3, -2, -7/206?
-7/206
Which is the nearest to -8? (a) 1/3 (b) 2/39 (c) 7/5 (d) 3/97
d
Which is the closest to 21583? (a) 4.3 (b) -2 (c) 5 (d) -0.4
c
Which is the closest to -28? (a) -1/2 (b) 0.08 (c) 2 (d) 0 (e) 3.1
a
Which is the nearest to -0.059? (a) -1/13 (b) 0.62 (c) -1 (d) 10 (e) -5 (f) 0.4
a
Which is the nearest to 1? (a) 9 (b) -9 (c) 1.55 (d) 2/17 (e) 2/45
c
Which is the nearest to 2? (a) -15/16 (b) 2 (c) 3 (d) 0.2
b
What is the nearest to 1 in 0, 4, -1/3, 2/17, 24?
2/17
What is the nearest to -0.1 in -70/181, -4, -8/5, 0, -2/5?
0
What is the closest to -1 in -0.5, -4, -1/4, -1067931, 18?
-0.5
Which is the nearest to -0.1? (a) -2/5 (b) -1/2 (c) 0.04 (d) -2/3 (e) 45184 (f) -1/6
f
What is the nearest to 1 in 2/75, 2/65, 0.049, -0.03, -3/7?
0.049
What is the nearest to 220/3 in -10/3, 0.4, 67.98, -1?
67.98
What is the nearest to -1 in -5101, 45, -2, -0.5, -5/4?
-5/4
What is the nearest to -7.62 in 18499, 0.2, 4?
0.2
What is the nearest to 5 in -2995, -165, -17?
-17
Which is the closest to -0.1? (a) -2 (b) 121 (c) -4637 (d) -3/8 (e) 0.5
d
Which is the nearest to 9? (a) 0 (b) -8 (c) 0.16 (d) 2/7 (e) -3
d
What is the closest to 0.0867 in -296, -124, 2/5?
2/5
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
t is 467 minutes after 6:14 AM?
2:01 PM
How many minutes are there between 5:57 AM and 1:51 PM?
474
What is 670 minutes before 9:25 PM?
10:15 AM
How many minutes are there between 5:25 AM and 10:47 AM?
322
What is 237 minutes before 2:45 AM?
10:48 PM
How many minutes are there between 8:30 PM and 6:16 AM?
586
What is 91 minutes before 10:58 PM?
9:27 PM
How many minutes are there between 6:05 AM and 2:50 PM?
525
What is 155 minutes after 6:11 AM?
8:46 AM
What is 388 minutes after 9:55 PM?
4:23 AM
How many minutes are there between 2:32 PM and 5:18 PM?
166
How many minutes are there between 1:39 PM and 5:30 PM?
231
What is 610 minutes after 5:36 PM?
3:46 AM
What is 135 minutes before 3:15 PM?
1:00 PM
How many minutes are there between 11:19 PM and 10:52 AM?
693
How many minutes are there between 3:43 PM and 3:54 PM?
11
How many minutes are there between 7:08 PM and 2:36 AM?
448
How many minutes are there between 7:20 AM and 6:03 PM?
643
What is 490 minutes before 4:24 AM?
8:14 PM
What is 647 minutes after 4:25 PM?
3:12 AM
How many minutes are there between 8:38 AM and 3:03 PM?
385
How many minutes are there between 10:09 PM and 2:55 AM?
286
How many minutes are there between 9:39 PM and 10:15 PM?
36
How many minutes are there between 6:44 AM and 1:24 PM?
400
What is 424 minutes after 1:34 PM?
8:38 PM
What is 148 minutes before 8:53 PM?
6:25 PM
How many minutes are there between 4:56 AM and 1:07 PM?
491
How many minutes are there between 3:25 PM and 11:15 PM?
470
What is 320 minutes after 12:56 AM?
6:16 AM
How many minutes are there between 11:50 PM and 2:14 AM?
144
What is 595 minutes after 4:15 PM?
2:10 AM
How many minutes are there between 11:58 AM and 12:09 PM?
11
What is 12 minutes before 10:10 PM?
9:58 PM
What is 159 minutes after 9:33 PM?
12:12 AM
How many minutes are there between 7:24 AM and 8:08 AM?
44
How many minutes are there between 6:27 PM and 7:43 PM?
76
How many minutes are there between 6:01 AM and 4:17 PM?
616
How many minutes are there between 3:11 PM and 12:58 AM?
587
How many minutes are there between 4:57 AM and 2:17 PM?
560
What is 264 minutes before 7:35 PM?
3:11 PM
How many minutes are there between 4:15 AM and 9:39 AM?
324
What is 264 minutes after 1:32 AM?
5:56 AM
What is 481 minutes after 7:27 AM?
3:28 PM
How many minutes are there between 1:54 AM and 9:48 AM?
474
What is 646 minutes after 3:14 AM?
2:00 PM
How many minutes are there between 3:55 PM and 1:41 AM?
586
What is 708 minutes before 4:28 PM?
4:40 AM
How many minutes are there between 7:56 PM and 9:59 PM?
123
How many minutes are there between 8:22 PM and 7:53 AM?
691
What is 40 minutes before 11:20 PM?
10:40 PM
What is 10 minutes after 4:08 AM?
4:18 AM
What is 279 minutes before 4:26 AM?
11:47 PM
What is 38 minutes after 7:09 AM?
7:47 AM
What is 496 minutes after 2:42 AM?
10:58 AM
What is 625 minutes after 5:21 PM?
3:46 AM
How many minutes are there between 4:56 PM and 2:20 AM?
564
How many minutes are there between 2:08 AM and 6:51 AM?
283
What is 289 minutes after 5:23 PM?
10:12 PM
What is 97 minutes after 4:04 PM?
5:41 PM
How many minutes are there between 7:06 PM and 6:01 AM?
655
How many minutes are there between 1:53 PM and 11:38 PM?
585
How many minutes are there between 5:45 PM and 11:52 PM?
367
How many minutes are there between 12:50 PM and 12:45 AM?
715
How many minutes are there between 7:38 AM and 5:30 PM?
592
What is 445 minutes after 12:58 PM?
8:23 PM
What is 493 minutes before 2:46 AM?
6:33 PM
What is 176 minutes before 8:37 AM?
5:41 AM
What is 623 minutes before 7:11 PM?
8:48 AM
How many minutes are there between 10:07 PM and 2:44 AM?
277
How many minutes are there between 3:34 AM and 4:13 AM?
39
How many minutes are there between 12:06 PM and 11:06 PM?
660
What is 145 minutes after 4:49 AM?
7:14 AM
How many minutes are there between 7:45 AM and 9:48 AM?
123
What is 697 minutes before 2:03 AM?
2:26 PM
How many minutes are there between 8:27 PM and 6:44 AM?
617
What is 50 minutes after 12:51 AM?
1:41 AM
What is 625 minutes before 1:30 AM?
3:05 PM
How many minutes are there between 1:35 AM and 4:52 AM?
197
How many minutes are there between 8:21 AM and 7:00 PM?
639
What is 264 minutes before 9:40 AM?
5:16 AM
How many minutes are there between 5:23 PM and 2:40 AM?
557
What is 664 minutes before 3:18 AM?
4:14 PM
How many minutes are there between 5:28 AM and 4:58 PM?
690
How many minutes are there between 4:50 PM and 8:01 PM?
191
What is 685 minutes after 4:24 AM?
3:49 PM
How many minutes are there between 3:19 AM and 4:48 AM?
89
How many minutes are there between 9:11 PM and 5:27 AM?
496
How many minutes are there between 10:38 PM and 3:42 AM?
304
What is 166 minutes after 3:47 AM?
6:33 AM
What is 252 minutes before 4:02 PM?
11:50 AM
How many minutes are there between 4:37 PM and 2:25 AM?
588
How many minutes are there between 3:57 PM and 7:57 PM?
240
What is 488 minutes after 1:58 PM?
10:06 PM
What is 141 minutes after 12:48 PM?
3:09 PM
How many minutes are there between 7:12 PM and 3:12 AM?
480
What is 680 minutes before 6:41 AM?
7:21 PM
How many minutes are there between 10:01 PM and 3:38 AM?
337
How many minutes are there between 6:59 PM and 9:18 PM?
139
How many minutes are there between 12:46 AM and 11:25 AM?
639
How many minutes are there between 3:40 PM and 1:57 AM?
617
What is 149 minutes after 3:24 AM?
5:53 AM
How many minutes are there between 3:56 AM and 6:21 AM?
145
What is 300 minutes after 7:58 AM?
12:58 PM
How many minutes are there between 6:40 AM and 4:22 PM?
582
How many minutes are there between 11:23 AM and 3:29 PM?
246
How many minutes are there between 2:17 PM and 10:51 PM?
514
How many minutes are there between 1:50 AM and 12:57 PM?
667
What is 366 minutes after 4:36 AM?
10:42 AM
How many minutes are there between 10:09 AM and 4:51 PM?
402
What is 136 minutes before 7:21 AM?
5:05 AM
What is 663 minutes before 2:03 PM?
3:00 AM
What is 457 minutes after 6:50 AM?
2:27 PM
What is 587 minutes before 11:09 PM?
1:22 PM
How many minutes are there between 8:50 AM and 4:55 PM?
485
What is 173 minutes before 8:45 PM?
5:52 PM
How many minutes are there between 6:35 AM and 2:
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of 73956?
9
What is the tens digit of 14607?
0
What is the hundreds digit of 15548?
5
What is the units digit of 820?
0
What is the hundreds digit of 344?
3
What is the units digit of 29809?
9
What is the hundreds digit of 799?
7
What is the thousands digit of 5114?
5
What is the units digit of 17632?
2
What is the hundreds digit of 890?
8
What is the hundreds digit of 137?
1
What is the units digit of 75?
5
What is the tens digit of 121?
2
What is the tens digit of 18261?
6
What is the tens digit of 649?
4
What is the hundreds digit of 6707?
7
What is the hundreds digit of 1642?
6
What is the thousands digit of 13986?
3
What is the units digit of 727?
7
What is the units digit of 2589?
9
What is the thousands digit of 12387?
2
What is the tens digit of 95?
9
What is the units digit of 946?
6
What is the thousands digit of 1360?
1
What is the hundreds digit of 3336?
3
What is the ten thousands digit of 48038?
4
What is the hundreds digit of 993?
9
What is the ten thousands digit of 15568?
1
What is the tens digit of 326?
2
What is the hundreds digit of 1427?
4
What is the ten thousands digit of 14539?
1
What is the units digit of 2075?
5
What is the tens digit of 151?
5
What is the hundreds digit of 1718?
7
What is the hundreds digit of 3245?
2
What is the hundreds digit of 41315?
3
What is the units digit of 173?
3
What is the thousands digit of 43411?
3
What is the units digit of 4890?
0
What is the hundreds digit of 971?
9
What is the hundreds digit of 786?
7
What is the units digit of 15944?
4
What is the ten thousands digit of 22612?
2
What is the units digit of 7338?
8
What is the tens digit of 1946?
4
What is the hundreds digit of 923?
9
What is the hundreds digit of 1471?
4
What is the units digit of 43747?
7
What is the hundreds digit of 10115?
1
What is the tens digit of 2809?
0
What is the tens digit of 536?
3
What is the tens digit of 55243?
4
What is the tens digit of 55473?
7
What is the units digit of 2090?
0
What is the tens digit of 43223?
2
What is the units digit of 39?
9
What is the units digit of 502?
2
What is the tens digit of 40853?
5
What is the hundreds digit of 470?
4
What is the tens digit of 115?
1
What is the units digit of 141581?
1
What is the units digit of 124?
4
What is the hundreds digit of 1475?
4
What is the units digit of 21855?
5
What is the tens digit of 1199?
9
What is the tens digit of 29556?
5
What is the ten thousands digit of 68796?
6
What is the units digit of 88?
8
What is the thousands digit of 66519?
6
What is the thousands digit of 19491?
9
What is the units digit of 5969?
9
What is the tens digit of 138566?
6
What is the thousands digit of 5803?
5
What is the thousands digit of 1442?
1
What is the units digit of 231?
1
What is the units digit of 5610?
0
What is the thousands digit of 34446?
4
What is the units digit of 6257?
7
What is the hundreds digit of 1351?
3
What is the hundreds digit of 17708?
7
What is the ten thousands digit of 90261?
9
What is the hundreds digit of 18211?
2
What is the units digit of 826?
6
What is the tens digit of 43800?
0
What is the hundreds digit of 14407?
4
What is the ten thousands digit of 38172?
3
What is the hundreds digit of 1023?
0
What is the hundreds digit of 1267?
2
What is the thousands digit of 8191?
8
What is the units digit of 344?
4
What is the thousands digit of 43964?
3
What is the tens digit of 9360?
6
What is the tens digit of 1847?
4
What is the thousands digit of 48465?
8
What is the thousands digit of 54773?
4
What is the units digit of 1609?
9
What is the hundreds digit of 84005?
0
What is the units digit of 2681?
1
What is the thousands digit of 22366?
2
What is the thousands digit of 5904?
5
What is the tens digit of 25514?
1
What is the thousands digit of 4563?
4
What is the units digit of 18719?
9
What is the ten thousands digit of 22810?
2
What is the thousands digit of 123981?
3
What is the tens digit of 1911?
1
What is the ten thousands digit of 10226?
1
What is the units digit of 15541?
1
What is the thousands digit of 1534?
1
What is the units digit of 9770?
0
What is the thousands digit of 23886?
3
What is the hundreds digit of 2477?
4
What is the units digit of 2848?
8
What is the units digit of 13665?
5
What is the hundreds digit of 9095?
0
What is the units digit of 9684?
4
What is the hundreds digit of 1242?
2
What is the hundreds digit of 2179?
1
What is the tens digit of 26?
2
What is the hundreds digit of 83799?
7
What is the tens digit of 135?
3
What is the hundreds digit of 7809?
8
What is the thousands digit of 1104?
1
What is the hundreds digit of 22041?
0
What is the units digit of 109559?
9
What is the thousands digit of 25837?
5
What is the hundreds digit of 8581?
5
What is the hundreds digit of 643?
6
What is the hundreds digit of 958?
9
What is the tens digit of 2398?
9
What is the hundreds digit of 8241?
2
What is the units digit of 806?
6
What is the units digit of 1341?
1
What is the tens digit of 18300?
0
What is the units digit of 143?
3
What is the ten thousands digit of 11831?
1
What is the thousands digit of 95723?
5
What is the tens digit of 3814?
1
What is the hundreds digit of 4253?
2
What is the tens digit of 2542?
4
What is the tens digit of 303?
0
What is the tens digit of 8419?
1
What is the hundreds digit of 571?
5
What is the ten thousands digit of 25510?
2
What is the thousands digit of 1389?
1
What is the hundreds digit of 728?
7
What is the thousands digit of 2726?
2
What is the units digit of 2625?
5
What is the hundreds digit of 767?
7
What is the tens digit of 31748?
4
What is the units digit of 136130?
0
What is the tens digit of 8121?
2
What is the hundreds digit of 11802?
8
What is the units digit of 910?
0
What is the thousands digit of 1363?
1
What is the hundreds digit of 9323?
3
What is the units digit of 81?
1
What is the tens digit of 540?
4
What is the hundreds digit of 2891?
8
What is the thousands digit of 6099?
6
What is the tens digit of 15119?
1
What is the hundreds digit of 35214?
2
What is the units digit of 836?
6
What is the units digit of 10?
0
What is the thousands digit of 1186?
1
What is the hundreds digit of 595?
5
What is the thousands digit of 9863?
9
What is the thousands digit of 29818?
9
What is the units digit of 538?
8
What is the units digit of 11589?
9
What is the hundreds digit of 24786?
7
What is the tens digit of 1631?
|
{
"pile_set_name": "DM Mathematics"
}
|
scending order.
1/2, 0.4, 2/25, -2/3, -3, -3.5
Put -5, 5, -3, -763 in descending order.
5, -3, -5, -763
Put -592, 4, -6 in increasing order.
-592, -6, 4
Sort 5, 0, -18, -4, -1, 4 in descending order.
5, 4, 0, -1, -4, -18
Put -0.016, 2/525, -17 in descending order.
2/525, -0.016, -17
Sort 38, 11, 1, 5, 19.
1, 5, 11, 19, 38
Put -2, 675, 4, -30 in descending order.
675, 4, -2, -30
Sort -405, -5, 7, -4, 1.
-405, -5, -4, 1, 7
Sort -4, 42782, 16 in decreasing order.
42782, 16, -4
Sort 0.053, -3261, 5 in increasing order.
-3261, 0.053, 5
Put -256, 2, -2, 3 in increasing order.
-256, -2, 2, 3
Sort 40, 6/947, -0.5 in decreasing order.
40, 6/947, -0.5
Sort -82, -1, 1, 19, -5, 3 in descending order.
19, 3, 1, -1, -5, -82
Sort -1, 4, -5, 84, 13, -2 in descending order.
84, 13, 4, -1, -2, -5
Put 0, -46, 1, -4, 2 in increasing order.
-46, -4, 0, 1, 2
Sort 184, -3, 8, 2, -2, 4 in descending order.
184, 8, 4, 2, -2, -3
Sort 0, -4, -7918 in ascending order.
-7918, -4, 0
Put 10, -1, 339, 3, -3, 0 in decreasing order.
339, 10, 3, 0, -1, -3
Sort -0.839, 2, -0.4.
-0.839, -0.4, 2
Sort -35, -4, 1, 6, -3/2 in decreasing order.
6, 1, -3/2, -4, -35
Sort 397, -2/5, 1, -16 in descending order.
397, 1, -2/5, -16
Sort -0.1, -2, -0.02, -356, 0.
-356, -2, -0.1, -0.02, 0
Put -4.5, -0.0506, 4/3 in decreasing order.
4/3, -0.0506, -4.5
Put 43, -2/13, -0.1, -13 in ascending order.
-13, -2/13, -0.1, 43
Sort -2, 1/8, -1/3, -2/15, 0.4, -22.
-22, -2, -1/3, -2/15, 1/8, 0.4
Put 39, -144, -5, 1, -1, -3 in increasing order.
-144, -5, -3, -1, 1, 39
Sort 12, -2, -3450 in increasing order.
-3450, -2, 12
Sort 2, -2267, -1.
-2267, -1, 2
Put 2/19, -3, 7/9, 5, -81, 1/3 in decreasing order.
5, 7/9, 1/3, 2/19, -3, -81
Sort -507, 5, -12 in ascending order.
-507, -12, 5
Put -3, 5, -60, 6, -13 in decreasing order.
6, 5, -3, -13, -60
Sort 367, -2, 1/3, 3.3 in increasing order.
-2, 1/3, 3.3, 367
Sort 84, 4, 5, -3, -5 in ascending order.
-5, -3, 4, 5, 84
Put 120, -5, 1, 5, 0 in decreasing order.
120, 5, 1, 0, -5
Put -1/7, 2/5423, 48, 1/2, -0.4, 2 in descending order.
48, 2, 1/2, 2/5423, -1/7, -0.4
Put 0.3, 60, 5, 2/9, 11, -0.5 in descending order.
60, 11, 5, 0.3, 2/9, -0.5
Sort 0, -25/2, -0.3, -2/25 in descending order.
0, -2/25, -0.3, -25/2
Put -102, 4, 1, 28, 2 in decreasing order.
28, 4, 2, 1, -102
Sort 125, 19, -5, 179 in descending order.
179, 125, 19, -5
Sort -6, 3, -14, 0, 154 in descending order.
154, 3, 0, -6, -14
Sort 3, -11339.4, -6 in increasing order.
-11339.4, -6, 3
Sort 57, 0, -2, 2 in decreasing order.
57, 2, 0, -2
Put 66, -8, 37 in increasing order.
-8, 37, 66
Put -2, 4, 37167 in decreasing order.
37167, 4, -2
Put -3, 3, 5, -137, -2, 2 in ascending order.
-137, -3, -2, 2, 3, 5
Put 0, 58, 0.1, -2, 171.6 in decreasing order.
171.6, 58, 0.1, 0, -2
Put 0.3, 38, 16.3, 5 in decreasing order.
38, 16.3, 5, 0.3
Sort 3/4, -4/19, 8.8, 5, -1/4, -5/6 in decreasing order.
8.8, 5, 3/4, -4/19, -1/4, -5/6
Sort -64, 0, 4, -227, -5 in decreasing order.
4, 0, -5, -64, -227
Sort 6, -201, 351, 5 in descending order.
351, 6, 5, -201
Put -1/5, 5, 0, -2.8, -6, -26 in descending order.
5, 0, -1/5, -2.8, -6, -26
Put 21, -6, 3, -11, 37 in ascending order.
-11, -6, 3, 21, 37
Put 1, 99, 6403 in decreasing order.
6403, 99, 1
Put 0.01, -2/3, -0.0977, -4 in descending order.
0.01, -0.0977, -2/3, -4
Put -1, 2664, -12 in increasing order.
-12, -1, 2664
Sort -5/13, 1.4, -5, 1 in decreasing order.
1.4, 1, -5/13, -5
Put 2, 138, 1743, 5 in descending order.
1743, 138, 5, 2
Put 1, -5, 2, 4 in increasing order.
-5, 1, 2, 4
Sort 4/7, -14, 0.1, 2, 1.19 in descending order.
2, 1.19, 4/7, 0.1, -14
Put 5, 137, 4, 1.5, -2/3, 1/3 in decreasing order.
137, 5, 4, 1.5, 1/3, -2/3
Sort -9, -161057, -3 in increasing order.
-161057, -9, -3
Put 3, -1, 6, 1576, 7 in ascending order.
-1, 3, 6, 7, 1576
Sort 3, -5, -3/5, 0.03, -3/26, -2 in increasing order.
-5, -2, -3/5, -3/26, 0.03, 3
Sort 12, -1, 5, -17459 in descending order.
12, 5, -1, -17459
Sort 3, -3/5, 2/23, -33, 1/8 in ascending order.
-33, -3/5, 2/23, 1/8, 3
Put -2, -7, 6105, 1 in decreasing order.
6105, 1, -2, -7
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of 62 and 961?
31
Calculate the greatest common divisor of 205 and 123.
41
Calculate the greatest common divisor of 2709 and 13846.
301
Calculate the highest common factor of 47 and 470.
47
Calculate the highest common divisor of 629 and 34.
17
What is the highest common divisor of 49045 and 85?
85
What is the greatest common divisor of 1 and 19?
1
Calculate the greatest common divisor of 400 and 500.
100
What is the greatest common factor of 58 and 4089?
29
What is the highest common factor of 117 and 450?
9
What is the greatest common factor of 49 and 28?
7
What is the highest common divisor of 10 and 8?
2
What is the greatest common factor of 219 and 365?
73
What is the highest common divisor of 12 and 87?
3
Calculate the highest common factor of 25 and 12665.
5
What is the greatest common factor of 72 and 828?
36
What is the greatest common divisor of 10 and 2270?
10
Calculate the greatest common factor of 64 and 2.
2
What is the highest common factor of 798 and 114?
114
Calculate the greatest common factor of 30 and 435.
15
Calculate the greatest common factor of 33 and 9.
3
What is the greatest common factor of 385 and 660?
55
Calculate the greatest common factor of 12 and 244.
4
What is the greatest common factor of 120 and 75?
15
Calculate the greatest common factor of 2275 and 49.
7
What is the highest common factor of 425 and 25?
25
Calculate the highest common divisor of 13833 and 53.
53
Calculate the greatest common divisor of 12 and 66.
6
Calculate the greatest common factor of 69 and 4623.
69
What is the greatest common divisor of 126 and 216?
18
Calculate the greatest common divisor of 43 and 1.
1
What is the highest common divisor of 18 and 675?
9
What is the greatest common divisor of 325 and 52?
13
What is the highest common divisor of 1968 and 2337?
123
What is the greatest common factor of 78 and 351?
39
What is the greatest common divisor of 8910 and 110?
110
Calculate the highest common divisor of 125 and 650.
25
Calculate the highest common divisor of 1255 and 95.
5
What is the highest common divisor of 64 and 288?
32
Calculate the greatest common divisor of 55 and 26521.
11
What is the highest common divisor of 145 and 5?
5
Calculate the highest common factor of 34 and 24718.
34
What is the highest common divisor of 200 and 1000?
200
What is the highest common divisor of 114 and 22686?
114
Calculate the highest common factor of 4 and 542.
2
Calculate the highest common factor of 43 and 903.
43
What is the highest common factor of 2809 and 53?
53
Calculate the highest common factor of 108 and 8838.
18
What is the greatest common factor of 1104 and 69?
69
Calculate the greatest common factor of 6 and 390.
6
Calculate the highest common factor of 12 and 732.
12
What is the highest common divisor of 864 and 64?
32
What is the greatest common factor of 11554 and 1090?
218
What is the greatest common factor of 38 and 475?
19
Calculate the greatest common divisor of 1830 and 240.
30
What is the greatest common factor of 28 and 266?
14
What is the greatest common divisor of 30 and 36975?
15
What is the highest common divisor of 1136 and 497?
71
What is the greatest common divisor of 171 and 18?
9
What is the greatest common divisor of 96 and 12?
12
What is the highest common divisor of 184 and 16?
8
Calculate the greatest common divisor of 68 and 119.
17
What is the highest common divisor of 154 and 3619?
77
Calculate the greatest common factor of 752 and 32.
16
Calculate the greatest common factor of 546 and 84.
42
Calculate the greatest common divisor of 6 and 8.
2
What is the highest common factor of 16 and 916?
4
Calculate the greatest common divisor of 33 and 990.
33
What is the greatest common factor of 154 and 110?
22
What is the highest common divisor of 4 and 115?
1
Calculate the highest common factor of 147 and 343.
49
Calculate the greatest common factor of 207 and 27.
9
What is the highest common divisor of 112 and 644?
28
What is the greatest common divisor of 1610 and 92?
46
What is the greatest common divisor of 61 and 5307?
61
What is the greatest common divisor of 30 and 465?
15
What is the greatest common divisor of 6270 and 450?
30
What is the highest common factor of 114 and 2337?
57
Calculate the highest common factor of 24 and 12504.
24
Calculate the greatest common factor of 2816 and 99.
11
What is the highest common divisor of 388 and 4?
4
What is the highest common factor of 34377 and 21?
21
Calculate the highest common factor of 14 and 448.
14
Calculate the highest common divisor of 7 and 7.
7
What is the greatest common factor of 8 and 392?
8
What is the greatest common divisor of 39 and 104?
13
What is the highest common factor of 806 and 2294?
62
What is the highest common divisor of 235 and 752?
47
Calculate the highest common factor of 63 and 18.
9
Calculate the greatest common factor of 9 and 684.
9
Calculate the greatest common divisor of 15968 and 96.
32
Calculate the highest common divisor of 2016 and 72.
72
Calculate the highest common factor of 12 and 10.
2
Calculate the highest common factor of 43 and 3569.
43
Calculate the greatest common divisor of 19 and 6821.
19
What is the highest common divisor of 1 and 17?
1
What is the highest common divisor of 237 and 2528?
79
Calculate the greatest common divisor of 756 and 25452.
252
Calculate the highest common factor of 55 and 970.
5
What is the greatest common divisor of 49 and 2009?
49
Calculate the highest common factor of 4160 and 240.
80
What is the greatest common divisor of 1269 and 621?
27
What is the greatest common divisor of 146 and 38179?
73
Calculate the highest common divisor of 228 and 399.
57
What is the greatest common factor of 3479 and 49?
49
What is the greatest common divisor of 10 and 32210?
10
Calculate the greatest common factor of 1526 and 14.
14
What is the greatest common factor of 33 and 539?
11
Calculate the highest common factor of 1529 and 11.
11
Calculate the highest common divisor of 4000 and 4240.
80
What is the greatest common factor of 272 and 27472?
272
What is the greatest common factor of 156 and 132?
12
What is the highest common factor of 219 and 292?
73
Calculate the highest common factor of 2 and 29.
1
Calculate the highest common divisor of 2 and 1852.
2
Calculate the highest common factor of 26385 and 30.
15
Calculate the greatest common factor of 232 and 1044.
116
Calculate the greatest common factor of 23 and 2001.
23
What is the highest common factor of 196 and 70?
14
What is the highest common factor of 95 and 57?
19
What is the greatest common factor of 1024 and 2?
2
Calculate the highest common factor of 1472 and 299.
23
Calculate the highest common divisor of 19364 and 103.
103
Calculate the highest common divisor of 3525 and 50.
25
Calculate the greatest common factor of 1250 and 50.
50
Calculate the greatest common divisor of 884 and 85.
17
Calculate the highest common divisor of 132 and 22044.
132
What is the highest common factor of 176 and 110?
22
What is the highest common divisor of 2929 and 464?
29
Calculate the greatest common divisor of 42 and 4431.
21
Calculate the highest common factor of 235 and 141.
47
What is the highest common divisor of 51 and 6?
3
Calculate the highest common factor of 102 and 578.
34
Calculate the highest common factor of 24 and 492.
12
What is the highest common factor of 328 and 41?
41
What is the greatest common divisor of 20 and 18?
2
What is the highest common divisor of 354 and 944?
118
What is the highest common factor of 1408 and 1024?
128
What is the greatest common factor of 18 and 1746?
18
What is the greatest common divisor of 440 and 60?
20
What is the greatest common factor of 4386 and 430?
86
Calculate the greatest common divisor of 1032 and 16.
8
Calculate the highest common divisor of 513 and 432.
27
What is the greatest common factor of 800 and 1088?
32
What is the highest common factor of 20 and 144?
4
Calculate the highest common divisor of 73 and 16
|
{
"pile_set_name": "DM Mathematics"
}
|
6*r(k)?
-12*k**3 + 2
Let z(w) = -w**2 + 93*w + 115. Let c(q) = 16*q + 19. Calculate 35*c(n) - 6*z(n).
6*n**2 + 2*n - 25
Let m(x) = -5*x**2 + 893*x + 13. Let h(n) = 11*n**2 - 1785*n - 29. What is 4*h(w) + 9*m(w)?
-w**2 + 897*w + 1
Let y(k) = 5*k - 17 - 4*k + 22 - 7. Suppose i + 5*d - 22 = 0, 2*i + 0 = 2*d - 4. Let z(v) = 75*v - 212*v + 0 - 6 + 71*v + 70*v. Determine i*z(t) - 7*y(t).
t + 2
Let c(x) = -3*x**3 + 41*x**2 - 5*x. Let d be 3/9*1*(-27 - -33). Let y(a) = -a**3 + 21*a**2 - 2*a. What is d*c(g) - 5*y(g)?
-g**3 - 23*g**2
Let n(y) = -41*y**2 - 2524*y + 52. Let x(o) = -8*o**2 - 505*o + 10. Determine 6*n(w) - 31*x(w).
2*w**2 + 511*w + 2
Let q(n) be the second derivative of -n**4 + 4*n**3/3 - 4*n**2 + 4*n + 123. Let f(h) = h - 1. Give -8*f(t) + q(t).
-12*t**2
Let d(w) = -900180*w - 3645. Let x(h) = -1483*h - 6. Calculate -2*d(k) + 1215*x(k).
-1485*k
Let f(h) = 6*h - 4. Suppose 2*i + 12 = -i. Let j(y) = -3749*y - 15. Let v(l) = 1153*l + 5. Let a(d) = -4*j(d) - 13*v(d). Calculate i*f(w) + 3*a(w).
-3*w + 1
Let z(g) = 7*g + 140. Let d(i) = 6*i + 2. Give 5*d(q) + z(q).
37*q + 150
Let d(m) = -2*m**2 - 3*m + 13. Let n(o) = -8*o**2 + 17*o - 22. Let l(t) = -3*t**2 + 7*t - 10. Let k(p) = -5*l(p) + 2*n(p). Calculate -4*d(b) + 9*k(b).
-b**2 + 3*b + 2
Let n(m) = m**2 + m + 1. Let x(r) = 117*r**2 + 54*r + 36. Let b(t) = 6*t**2 + t - 1. Let g(z) = -9*b(z) + x(z). Calculate -g(y) + 45*n(y).
-18*y**2
Let c(w) = -3639*w**3 + 12*w**2 + 18*w + 6. Let i(k) = -5149185*k**3 + 16982*k**2 + 25473*k + 8491. Calculate -8491*c(f) + 6*i(f).
3639*f**3
Let d(h) = -h**3 + h + 1. Let u(t) = 3*t**3 - 2*t - 3. Suppose -q = -v + 1, 0*q - 4*v = -3*q - 1. Let o = -3885 + 3877. Determine o*d(l) + q*u(l).
-l**3 - 2*l + 1
Let n(r) = -289*r - 1 + 541*r - 257*r - 4*r**2 + 1. Let i(p) be the third derivative of p**5/30 + p**4/12 - 4*p**2. What is 10*i(u) + 4*n(u)?
4*u**2
Let x(a) = 5*a + 1. Let u(d) be the second derivative of d**3/6 - 564*d. Let t(j) = j + 4. Let l be t(-3). Determine l*x(r) - 4*u(r).
r + 1
Let q(n) = 2*n + 2. Let h(w) = 15*w - 62. Let o(i) = h(i) - 5*q(i). Let r(m) = -3*m + 48. Determine 5*o(b) + 8*r(b).
b + 24
Suppose -1 = 3*n - 13. Let k(z) = n + 1 + 1 + 6*z**2. Let h(a) be the third derivative of a**5/60 + a**3/6 + 168*a**2 - 60. What is 22*h(s) - 4*k(s)?
-2*s**2 - 2
Let q = 7556 - 7557. Let r(z) = -z**2 - z - 1. Let d(u) = 3*u - 3. Let v(w) = -39*w + 39. Let k(l) = -27*d(l) - 2*v(l). Calculate q*k(t) + 2*r(t).
-2*t**2 + t - 5
Let a(r) = -3*r**2 + 2*r + 1. Let o(s) = 15*s**2 - 14*s + 4. Let d(h) = 4*a(h) + o(h). Let l(f) = -f**2 + f - 1. What is d(z) + 6*l(z)?
-3*z**2 + 2
Let j be 11 + (10 - 20) - 22/(-11). Let d(c) = -2665*c**3 - 130*c**2. Let x(w) = -62*w**3 - 3*w**2. What is j*d(p) - 130*x(p)?
65*p**3
Let v(r) = -5*r - 1. Let l(i) be the third derivative of 2*i**4/3 + i**3/2 - i**2 - 76*i + 4. Suppose a - 2*a = 2. Give a*l(d) - 7*v(d).
3*d + 1
Let l be 2/16 - -10*(-6)/(-32). Let f(u) = 6*u + 9 - 4 + 4*u**2 - u**l - 8. Let o(h) = -4*h**2 - 7*h + 4. Determine -5*f(v) - 4*o(v).
v**2 - 2*v - 1
Let u(d) = 2*d + 7. Let g(c) = -31*c - 5. Let l(k) = -30*k + 1. Let a(i) = -g(i) + l(i). Determine 4*a(m) - 3*u(m).
-2*m + 3
Let y(w) = -4 - 1 + 4. Let d(n) = 3*n - 5. Let q be (-1)/(-3)*(-1 + 2)*(473 - 476). Determine q*d(z) + 3*y(z).
-3*z + 2
Let j(s) = s. Let h(x) = 182*x. Suppose 0 = -a - 5*v - 181, -3*v + 297 = -84*a + 82*a. What is a*j(p) + h(p)?
26*p
Let r(m) = 16*m**3 - 5*m**2 + 5*m + 6. Suppose 15*i - 3961 + 3816 = 44*i. Let j(v) = -v**3 + v**2 - v - 1. Calculate i*j(x) - r(x).
-11*x**3 - 1
Suppose 4*o = -5*f + 47 + 34, 0 = -f + 5. Let p(v) = 13*v + 15 + o*v - 15*v. Let m
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{
"pile_set_name": "DM Mathematics"
}
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