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picking 3 h when three letters picked without replacement from {r: 1, i: 2, m: 3, h: 3, g: 1}?
1/120
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from heehhhqhhdhbqe.
2/91
What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, n: 2, h: 1, q: 3, m: 2, a: 6}?
2/105
Calculate prob of picking 2 c and 1 p when three letters picked without replacement from llacallllccapa.
3/364
Calculate prob of picking 2 i, 1 a, and 1 p when four letters picked without replacement from {a: 4, i: 7, p: 1, u: 1}.
84/715
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {j: 9, l: 5, s: 2, k: 2, t: 2}.
2/95
Three letters picked without replacement from zzzzzzzzzzrzz. Give prob of picking 3 z.
10/13
Two letters picked without replacement from xrxeebd. What is prob of picking 1 b and 1 e?
2/21
What is prob of picking 3 o and 1 a when four letters picked without replacement from {a: 1, f: 5, o: 5, p: 5}?
1/182
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {q: 6, p: 2, h: 3, f: 1}.
1/11
What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 5, y: 1, c: 2, p: 1}?
5/36
Calculate prob of picking 1 j, 1 t, and 1 c when three letters picked without replacement from {l: 6, j: 6, t: 1, c: 4}.
3/85
What is prob of picking 2 y when two letters picked without replacement from {y: 4, b: 1, u: 1, n: 1, l: 2}?
1/6
Three letters picked without replacement from {h: 4, g: 3, q: 4, b: 1, s: 5, p: 3}. Give prob of picking 2 g and 1 h.
1/95
Calculate prob of picking 1 y and 1 a when two letters picked without replacement from naqay.
1/5
Two letters picked without replacement from pkppppmpfppfppppp. Give prob of picking 1 p and 1 m.
13/136
What is prob of picking 2 o and 1 e when three letters picked without replacement from eeeooeoooooooo?
45/91
Three letters picked without replacement from {z: 7, w: 2, b: 6}. What is prob of picking 2 w and 1 z?
1/65
What is prob of picking 2 o when two letters picked without replacement from okkookkook?
2/9
Two letters picked without replacement from oosooeeofhoofoeffeee. Give prob of picking 1 e and 1 o.
24/95
Two letters picked without replacement from {h: 7, d: 3, m: 2}. Give prob of picking 2 h.
7/22
Calculate prob of picking 2 q and 1 d when three letters picked without replacement from nzqdqrqzfnz.
1/55
Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 2, b: 4, s: 2}.
2/7
What is prob of picking 3 z when three letters picked without replacement from {z: 3, p: 1}?
1/4
Two letters picked without replacement from {y: 1, h: 6, u: 3, q: 1, p: 4}. What is prob of picking 1 y and 1 q?
1/105
Calculate prob of picking 2 t and 2 c when four letters picked without replacement from tccatacttctccctcttc.
84/323
Two letters picked without replacement from {d: 3, k: 2}. Give prob of picking 2 k.
1/10
Three letters picked without replacement from {w: 4, z: 1, m: 6, n: 4}. What is prob of picking 1 w, 1 n, and 1 z?
16/455
Calculate prob of picking 3 j when three letters picked without replacement from bjrjcjr.
1/35
Three letters picked without replacement from {x: 5, j: 3, w: 3, q: 4, n: 4}. What is prob of picking 1 j, 1 x, and 1 q?
20/323
What is prob of picking 2 t and 1 v when three letters picked without replacement from {v: 3, d: 2, q: 3, t: 2, r: 1, b: 3}?
3/364
What is prob of picking 1 b, 1 v, and 1 t when three letters picked without replacement from {f: 1, b: 3, t: 4, v: 7, q: 1, o: 2}?
7/68
Three letters picked without replacement from {p: 11, j: 2}. Give prob of picking 3 p.
15/26
Two letters picked without replacement from {a: 1, m: 1, f: 1, t: 6, z: 3, r: 1}. Give prob of picking 1 r and 1 m.
1/78
What is prob of picking 4 d when four letters picked without replacement from {d: 3, t: 3}?
0
Two letters picked without replacement from {r: 4, v: 1, x: 1, q: 1, t: 1, u: 5}. Give prob of picking 1 u and 1 v.
5/78
Two letters picked without replacement from {t: 1, k: 1, g: 2, u: 2}. Give prob of picking 1 t and 1 k.
1/15
Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaaaavavaaaaa.
12/19
Four letters picked without replacement from qxpiqibxbiqxpiiip. Give prob of picking 1 x, 1 p, 1 b, and 1 i.
27/595
What is prob of picking 2 b when two letters picked without replacement from bzezz?
0
Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.
1
Four letters picked without replacement from {p: 13, h: 5}. What is prob of picking 4 p?
143/612
What is prob of picking 1 o, 2 z, and 1 v when four letters picked without replacement from {v: 5, z: 4, o: 1}?
1/7
Two letters picked without replacement from {j: 1, s: 1, p: 14}. What is prob of picking 2 s?
0
Calculate prob of picking 2 g when two letters picked without replacement from gngggjjjgjgnj.
5/26
Two letters picked without replacement from uuttuuuuuuututuuuu. Give prob of picking 1 u and 1 t.
56/153
Calculate prob of picking 1 d and 1 t when two letters picked without replacement from pxfndndftfnnpxppdddp.
1/38
Calculate prob of picking 1 r, 1 e, and 1 m when three letters picked without replacement from {z: 2, w: 5, r: 1, m: 1, s: 3, e: 1}.
1/286
Two letters picked without replacement from yeejyeejjhjhuly. Give prob of picking 1 h and 1 j.
8/105
Two letters picked without replacement from {c: 3, k: 2, e: 6, w: 2, t: 1}. Give prob of picking 1 w and 1 c.
6/91
Four letters picked without replacement from lpklkllpp. Give prob of picking 3 p and 1 k.
1/63
Two letters picked without replacement from {k: 2, x: 3, j: 4, y: 9}. What is prob of picking 1 x and 1 k?
2/51
Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {n: 1, w: 1, v: 2, f: 1, e: 2, u: 1}.
1/56
What is prob of picking 4 t when four letters picked without replacement from tttttt?
1
Calculate prob of picking 2 m and 2 g when four letters picked without replacement from ggmmmgmmmgmmggmmmmm.
195/646
Four letters picked without replacement from bgbbbg. Give prob of picking 2 b and 2 g.
2/5
Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, j: 1}.
1/2
Four letters picked without replacement from {v: 1, z: 3, m: 4, h: 2, c: 4}. Give prob of picking 1 v, 2 m, and 1 z.
18/1001
Three letters picked without replacement from {p: 2, j: 3, w: 2, r: 5}. What is prob of picking 1 w and 2 j?
3/110
Three letters picked without replacement from {a: 2, j: 11, v: 6}. What is prob of picking 2 v and 1 j?
55/323
Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {s: 4, m: 7, n: 4}.
6/65
Three letters picked without replacement from nnnnnn. What is prob of picking 3 n?
1
What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 5, g: 2}?
10/21
Four letters picked without replacement from {z: 2, q: 6, b: 1, s: 4}. Give prob of picking 2 q and 2 s.
18/143
What is prob of picking 1 n, 1 d, 1 y, and 1 b when four letters picked without replacement from udynddudb?
2/63
Three letters picked without replacement from gsgsggggggggggsggg. Give prob of picking 3 s.
1/816
What is prob of picking 2 a and 1 p when three letters picked without replacement from {a: 2, p: 1, v: 1}?
1/4
Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {g: 7, e: 2, v: 11}.
7/1615
Three letters picked without replacement from kqkbkkkkkkkkqkqkkkkk. What is prob of picking 3 b?
0
Four letters picked without replacement from ccrccccccrcrccrrrcr. Give prob of picking 4 c.
165/1292
What is prob of picking 1 m and 1 s when two letters picked without replacement from tsbnstsbnsmssnvvst?
7/153
What is prob of picking 1 r, 2 l, and 1 p when four letters picked without replacement from xllprxppp?
2/63
Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 1, b: 3}.
1/2
Calculate prob of picking 1 a, 2 h, and 1 p when four letters picked without replacement from papahppphpaaaha.
36/455
Two letters picked without replacement from zzoozz. Give prob of picking 1 o and 1 z.
8/15
What is prob of picking 3 l when three letters | {
"pile_set_name": "DM Mathematics"
} |
the units digit of (-18)/(-4)*8/18?
2
Let b(q) = q + 1. Let a(d) = 2*d + 1. Let g be a(3). Let f be b(g). Let p = f - 1. What is the units digit of p?
7
Let u = 448 - 226. What is the hundreds digit of u?
2
Let d(n) = 2*n + 18. Let p be d(-12). Let a(o) = -2*o**2 + o - 1. Let b be a(1). What is the units digit of 57/9 - b/p?
6
Let n = -114 - -165. What is the tens digit of n?
5
Let c(r) = 8*r - 5. Let w be c(6). Let o = -13 + w. What is the units digit of (-1)/(-2) - o/(-4)?
8
Let f = -3 + 6. Let z(y) = -f*y - y**3 + 4*y**2 + 2*y + 0*y**2. What is the units digit of z(3)?
6
Let u be ((-8)/5)/(10/(-25)). Suppose 0*w + 60 = -2*w. What is the units digit of u/(-10) - 282/w?
9
Suppose 4*g - 5*n + 16 = 0, -g - g + 5*n - 18 = 0. What is the units digit of (0 + g)/((-1)/(-2))?
2
Let c = 1039 - 714. What is the hundreds digit of c?
3
Suppose 3*c - 99 = 9. What is the tens digit of (-331)/(-9) - (-8)/c?
3
Let u(l) = 3*l**2 - 6*l - 22. What is the hundreds digit of u(-11)?
4
Suppose -3*j + 26 = -4*n, 0 = 2*n + 3*j + 4 - 0. Suppose -10 = -2*b - 0*b. What is the units digit of 42/b - (-2)/n?
8
Let b = -38 - -132. What is the units digit of b?
4
Let a be 85/3 - 9/27. Suppose 4*h - 32 = a. What is the units digit of (-2 - (1 + h))*-1?
8
Let v = -4 + 5. What is the tens digit of 0 + (-2 - -14) - v?
1
What is the units digit of 2*41/2 + 0?
1
Let w(c) = c**2 - 11*c - 18. Let f(l) = 0*l + 1 - 8 - l**2 + 7*l + 5*l. Let o be f(10). What is the units digit of w(o)?
8
Suppose 2*v + v = 0. Suppose -3*k - w + 73 = v, 54 = 2*k + 4*w - 2*w. What is the tens digit of k?
2
Let o = 20 - 3. Let u = o - 10. What is the units digit of u?
7
Let t(p) = p**2 - 5*p + 6. Let c be t(4). What is the units digit of (-4)/(-3 + c) + 0?
4
Suppose 5*j - 6*j + 15 = 0. What is the tens digit of j?
1
Let l be (1 + 1)*2/4. Let k be l - (-5)/((-5)/(-12)). Let t = k - 6. What is the units digit of t?
7
Let a = -80 + 217. What is the units digit of a?
7
Let l be -1 + (0 - -69)/3. Let d = l - 12. What is the tens digit of d?
1
Suppose -6*r + 3*r = 12, 85 = 3*m - r. What is the tens digit of m?
2
Let i = 18 + -21. What is the units digit of i + (3 - (0 + -2))?
2
Let l(h) = -17*h**3 + h**2 + h. Let w be l(-1). Let z = w + 7. What is the units digit of z?
4
Suppose 1244 = -12*g + 4700. What is the units digit of g?
8
Suppose -10 = -3*v + 5. What is the tens digit of 10/v + (-18)/(-2)?
1
Let d = -6 + 13. Let y = 30 - d. What is the units digit of y?
3
Let k(r) = 44*r - 5. What is the tens digit of k(3)?
2
Let d(r) = -17*r**2 - 4*r - 4. Let w be d(-3). What is the units digit of w/(-45) + 4/(-18)?
3
Let f(w) = -w**2 - 9*w - 6. What is the units digit of f(-7)?
8
Suppose g + 0*g = 0. Let b(y) = -y**2 - y + 3. Let f be b(g). Suppose 2*i - f*p - 18 = 0, -18 = -2*i - p + 3*p. What is the units digit of i?
9
Suppose 3*v + o = 249, 0*o + o - 333 = -4*v. What is the units digit of v?
4
Let x(g) = -10*g + 4. Let p(v) = 3*v - 1. Let r(o) = 14*p(o) + 4*x(o). Let s = -1 - -4. What is the units digit of r(s)?
8
Let t be ((-6)/(-9))/(1/3). Suppose -o = 2*n - 7*n - 58, -t*n - 2*o - 16 = 0. Let k = 22 + n. What is the units digit of k?
1
Let q(o) = -o**3 + 6*o**2 + 3*o - 5. What is the units digit of q(4)?
9
Let t(w) = 4*w**3 - 40*w**2 - 4*w + 9. Let d(p) = p**3 - 10*p**2 - p + 2. Let s(o) = -9*d(o) + 2*t(o). What is the units digit of s(10)?
0
Let h(m) = -52 - m**3 - m**2 + 0*m**3 + 107 - 54. Let r be 1 - (1 - -1) - 1. What is the units digit of h(r)?
5
Let h = -9 - -14. What is the units digit of (-3 + 4)*1 + h?
6
Let k(r) = -r**3 - 18*r**2 - 6*r - 13. What is the units digit of k(-18)?
5
Suppose 4*o - 85 + 13 = 0. What is the tens digit of o?
1
Suppose -q + 15 = -2. Suppose -2*o = -q - 21. What is the tens digit of o?
1
Suppose 39 = 2*y - 3*s, -5*y + 3*s = -4*y - 21. Suppose 0 = 7*m - 4*m - y. Let d = 12 - m. What is the units digit of d?
6
Let t(j) be the third derivative of -3*j**2 + 0*j + 1/2*j**3 - 1/12*j**4 + 0. What is the units digit of t(-4)?
1
Let s(b) = -b**3 + b**2 + b - 1. Let v(g) = 5*g**3 - 10*g**2 - 6*g + 3. Let m(r) = -6*s(r) - v(r). What is the units digit of m(-3)?
2
Let q be (-18)/4 + (-5)/(-10). Let j(b) = b**2 - 5. What is the units digit of j(q)?
1
Suppose -3*c + 5*x = 178, -7*c + 3*c - 276 = 3*x. Let q be c/(-4) - (-2)/(-4). Suppose -6*s = -2*s - q. What is the units digit of s?
4
Let g(n) = n**2 - 5*n - 3. Let v be g(6). Suppose 42 = -v*z + 5*z. What is the units digit of z?
1
Suppose -2*l - 31 - 131 = 4*b, -3*l = 2*b + 75. Suppose 3*m = -5 - 4. What is the units digit of b/(-4)*(-2)/m?
7
Let f(o) be the first derivative of -o**4/4 + 2*o**3 + 3*o**2/2 - 7*o + 1. Let k be f(6). Let t = k + -8. What is the units digit of t?
3
Suppose 3*g - 5*b = 2*g - 11, -g - 2*b = -10. Suppose -2*v + 93 = -o - g*o, -v = 5*o - 54. What is the units digit of v?
9
Suppose 2*k + 5*f = -19, 4*f - 3 = 3*k + 3*f. Let y be (-24)/1*k/4. What is the units digit of 105/y + 1/4?
9
Let c(f) = -f**2 + 23*f - 18. What is the hundreds digit of c(12)?
1
Let y(w) = 2*w + 8. Let d be y(0). What is the units digit of 1*36/d*2?
9
Let o(u) be the second derivative of -u**5/20 - u**4/6 - 5*u**3/6 - 3*u**2/2 - 2*u. What is the units digit of o(-3)?
1
Suppose 0 = h - 4*r - 53, -2*h = -0*r + 5*r - 54. What is the units digit of h?
7
Let u(k) = 111*k - 2. What is the tens digit of u(1)?
0
Let z be ((-2)/1)/((-1)/2). Suppose z*f - 9 = -1. What is the units digit of f?
2
Let z(r) = -r**3 - 5*r**2 - 5. What is the units digit of z(-6)?
1
Let w(n) = 9*n**2. Suppose 0*o = -3*o + 3. What is the units digit of w(o)?
9
Let l = 156 - 110. What is the tens digit of l?
4
What is the hundreds digit of ((7/21)/1)/((-2)/(-732))?
1
Let t be (160/30)/(2/3). Let b = t + 11. What is the units digit of b?
9
What is the units digit of (11 - 7) + 13*1?
7
Let l be ((-4)/3)/(9/27). What is the tens digit of ((-11)/l)/((-6)/(-48))?
2
Suppose h - r - 126 = 0, -2*h + 252 = 2*r - r. What is the tens digit of h?
2
Suppose 14*u - 117 = 5*u. What is the tens digit of u?
1
Suppose -4*i + 5 = -3. What is the units digit of i?
2
Suppose -3*g = -3*m + 4*m - 16, -m + 2 = g. Let s = g - 6. What is the units digit of s?
1
Suppose -5*v = 3*f - 28, 0 = 2*v - 0*f - 2*f - 8. Suppose v*i = i + 148. What is the tens digit of i?
3
Let q(z) = -z**2 - 7*z + 9. What is the units digit of q(-8)?
1
Suppose -3*y = -4*l - 18, 0 = 6*l - l. Suppose 2*v - 65 = -5*w, -y*w + 4*w + 70 = 3*v. What is the tens digit of v?
2
Suppose y - 32 = 3*y. What is the units digit of (-68)/y - 1/4?
4
Let q(m) = m**2 + 3*m + 3. Let f(w) = -w - 8. Let o be f(-4). What is the units digit of q(o)?
7
Let y(v) be the second derivative of -v**4/12 - v**3 + v**2/2 - v. Let a(x) = x. Let q be a(-6). What is the units digit of y(q)?
1
Let m be 5/5 - (-22 + 2). What is the units digit of (-2 + -1)*(-14)/m?
2
Suppose 0*c + 4*c + 8 = 0. Let u be (8/(-6))/(6/(-45)). Let d = c + u. What is the units digit of d?
8
Suppose 2*c - 20 = -2*c. Suppose r + 0*r + 3*l = -12, -3*l = -3*r + 24. Suppose 2*o + c*u - 1 = -o, -3*u = r*o - 3. What is the units digit of o?
2
Let t(q) = -11*q + 1 + q**2 - 3 + 4. Let f be t(6). Let y = -5 - f. What is the tens digit of y?
2
Suppose u + 0*u - 16 = -4*l, -u - 2 = -2*l. Suppose -4*f - l*i = -0*f - 37, -27 = -3*f - 2*i. What is the units digit of f?
7
Suppose 2*w + 3*j + 6 = 183, -5*w - 3*j + 420 = 0. Suppose q - 4*d = 17, -4*q + 2*d = -w + 13. What is the units digit of q?
7
Suppose 24*h = 25*h - 11. What is the tens digit of h?
1
Suppose 13*p + 144 = 15*p. Let b = p - 35. What is the units digit of b?
7
Let p = 77 - 51. What is the units digit of p?
6
Let m be (-3)/2*(-12)/(-9). Let o be m/6 + (-5)/(-15). Suppose -1 + o = -w. What is the units digit of w?
1
Let b = 28 - 5. Suppose 3 = -6*t + 4*t - c, -5*c = 2*t + b. What is the units digit of t?
1
Suppose 300 = 5*t - 5*d, 3*d - 48 = -3*t + 2*t. What is the units digit of t?
7
Suppose -3*n + 36 = -3*m + m, n + 4*m + 2 = 0. Suppose i - 9 - n = 0. What is the tens digit of i?
1
Let q = 2 - -3. Suppose 3*n = 7 + q. What is the units digit of n?
4
Let w(q) = q**2 + 4*q. What is the units digit of w(-6)?
2
Let u be (-46)/(-14) - (-2)/(-7). Suppose 5*n + 25 = 5*t, 4*t - u*n + n - 14 = 0. Suppose -3*f - 9 = -4*o, 3*f + t = 5. What is the | {
"pile_set_name": "DM Mathematics"
} |
37. Which is the nearest to 2? (a) s (b) q (c) g
a
Let d = 3951 - 3950. Which is the closest to 5/16? (a) d (b) 5 (c) -2/13
c
Let a = -34.63 - -30.63. Let v = 15 + -14.9. What is the nearest to v in -5, a, -3?
-3
Let h = 0.05823 - -1.94177. Which is the closest to -76? (a) 1 (b) h (c) -0.4
c
Suppose 27*p = 142*p - 604*p - 4401. What is the closest to 0.056 in p, -0.1, 0.3?
-0.1
Let i(b) = -2*b**3 - 83*b**2 - 260*b + 223. Let n be i(-38). What is the nearest to 0 in 4.4, n, 21?
4.4
Let t = -248 - -247. Let z = 0.171 - -67.829. What is the closest to t in 5, 2/13, z?
2/13
Let x = 10.2 + -10.1. Let z be (3/(-30))/(1/2). Let i(m) = -2*m + 39. Let y be i(18). What is the closest to y in z, x, -2?
x
Let v = 18.95 + -20. Let d = -5.05 - v. What is the closest to 2/7 in 0, d, 2?
0
Let s = 19 - 19. Let r(v) = -4*v**2 - 5*v + 3. Let f(i) = 2*i**2 + i + 1. Let t be f(0). Let g be r(t). What is the nearest to s in 0.1, g, -3/2?
0.1
Let x = -672 - -314. Let z = 360 + x. Let m be (-2 - -5) + 1/1. What is the closest to 2/5 in m, z, -1?
-1
Let w be 6/(-4) - (-15)/10. Let g = -6.3 - 288.7. Let p = g - -296. What is the closest to w in p, -1/2, 2?
-1/2
Let m = 0.5231 + -0.9231. Suppose 5*f - 39 = 1. What is the closest to -1 in -0.2, f, m?
m
Let i = -151358 - -151363. Let t = 1.3 - 0. Which is the nearest to 0? (a) i (b) t (c) -6
b
Suppose 6*q - q = -40. Let p be (-2 - q/2) + (-11 - -11). Let i = -3/19 - -59/133. What is the nearest to i in 3, -0.4, p?
-0.4
Let o be ((-93)/155)/(258/(-20)). What is the closest to -81 in -0.1, 5, o?
-0.1
Suppose 0 = 236*w - 303 - 169. What is the closest to 9 in w, 14, 2/7, 2/3?
14
Let k = -2615 + 2616. Which is the nearest to -0.03? (a) 3/7 (b) -2 (c) k (d) 1/5
d
Let l = 107 - 97. Let p = l + -10.2. What is the nearest to -0.1 in 0.2, p, -0.39?
p
Let y(h) = h + 5. Let s be y(7). Suppose 3*j = 3*q - s, 4*q = -j - 2*j - 19. Suppose 622*o - 109*o = -240*o + 1506. What is the nearest to -10 in -0.4, q, o?
q
Let v = 0.07 - 1.48. Let t = -1.11 - v. Suppose 0 = -z + 5*w + 20, 4*w = z + 6*w + 1. What is the nearest to -2/3 in -2, t, z?
t
Let d = 2049.4 - 2053.4. Which is the closest to 108? (a) -6 (b) d (c) 0.1
c
Let u = 14833/100 - 593/4. Which is the nearest to -0.1? (a) -52 (b) u (c) 2 (d) 7
b
Let w be (-29)/(-117) + ((-2)/9 - 0). Let b(l) = l**2 + 8*l - 148. Let k be b(-17). Let f = 0.9 - -0.1. What is the nearest to f in -2/13, w, k?
w
Let a be (-120)/(-27) + (-5 - 451/(-99)). Let s = 2/31 - 68/93. What is the closest to s in 6, 2, a?
2
Let p be (7 - 867/119)/(2 - (-24)/(-21)). What is the nearest to p in 0, 0.1, -0.1, 1.226?
-0.1
Let v = -1.12 - -0.12. Let h = 5.054 - 5. Let i = -0.246 - h. What is the nearest to 0.1 in v, i, 0.2?
0.2
Let w = 6.24 - 2.24. What is the nearest to w in 4, 5, -2/9, 23?
4
Let z(n) = 219*n + 427. Let v be z(-2). Which is the nearest to 0? (a) 2/5 (b) v (c) -18
a
Let u = 1.07 - 0.6. Let d = u - -0.53. Let l = 0.079 + 0.021. Which is the closest to -0.2? (a) -0.02 (b) d (c) l
a
Let v = 4.776 + -0.086. Let h = v + -4.6. Which is the closest to 3? (a) -4 (b) h (c) -0.1
b
Let k(v) = 63*v + 303. Let d be k(-5). What is the closest to 0.1 in 5, 2/9, d?
2/9
Let y = 16960/3 + -5654. Which is the nearest to y? (a) 2/11 (b) 3 (c) 5
a
Let l = -16434.6 - -16435. Let t = -2 + 4. Let j = t + -1. Which is the closest to j? (a) l (b) 2 (c) -0.3
a
Let c = 4659 + -4654. What is the nearest to 7/11 in 2/3, 5/2, c, -2/3?
2/3
Let m = -1102 - -1102.1. Let f be (-2)/5*(-20)/24. Which is the nearest to m? (a) 10 (b) f (c) 1
b
Let d be (6/4)/(17 - (14 - -1)). Let i = 2.897 + 0.103. Which is the nearest to d? (a) 5 (b) i (c) 1/40
c
Let w = 0.8 - 1.6. Let s = w + 1.1. Let f = -1185.1 - -1185. What is the closest to -2 in f, s, -4?
f
Let l = -0.281 - 140.719. Let d = 136 + l. What is the closest to 0 in -0.2, d, 36?
-0.2
Let o = -300 - -300.251. Let u = 0.051 - o. What is the closest to -1/5 in -4, u, -1, 3?
u
Let n = 4584 - 4590. Which is the closest to 0.1? (a) n (b) -4 (c) 5
b
Suppose -103*r + 152 = -27*r. Which is the closest to 2/11? (a) 1/13 (b) -4 (c) 0 (d) r
a
Let b = 34.9 - 55.9. Let d = 74 - 519/7. What is the closest to d in b, 1, -4?
1
Let r = -4.29 + 2.29. Which is the nearest to r? (a) 2 (b) -1.1 (c) -0.1 (d) 4
b
Let o = -4.128 - -0.128. Let d = -1.23 - -0.23. What is the closest to d in 27, 0.1, o?
0.1
Let f = -3264 - -3261. Which is the nearest to -3? (a) 3 (b) f (c) -16/7
b
Let a = 7380 + -7380.9977. Let t = a - 0.0023. Let z be (-2 - 21/(-6)) + -1. What is the closest to -2/5 in t, -2/7, z?
-2/7
Let v = -29505 - -29509. Which is the nearest to -110? (a) -0.1 (b) v (c) -0.4
c
Let w(r) = r + 3 - 2 - 5 - 6. Let c be w(7). Let v be c*(2/(-24))/(6/8). What is the nearest to 3 in 0.4, -6/11, v?
0.4
Let z = -0.53 + 0.5. Let t = -1.4782 - -1.1782. Let k = -2.1 - -7.1. Which is the closest to 0.1? (a) k (b) z (c) t
b
Let j = 658.9 - 659.1. Let q = 9 + -1. Which is the nearest to 0? (a) -4 (b) q (c) 0 (d) j
c
Let z be 10/(-48) - 3/24. Suppose -66 = -5*w + 109. Let i be (15/w)/((-3)/(-4)). What is the nearest to z in 3/7, i, 2?
3/7
Let k = -203.1 - -203. Let w = 1510/3 - 503. Let m = -5 - -3. Which is the nearest to k? (a) m (b) w (c) 4
b
Let j = 0.2 + 4.8. Let w = 1709/3426 - -2/1713. Which is the closest to -2/3? (a) w (b) j (c) -3
a
Let b be (11/(-33)*8)/(2/(-54)). Suppose 0 = 7*n - n - b. What is the nearest to 1/2 in -1/4, n, 5?
-1/4
Let m = 8.954 - 9. Let r = -0.076 - m. Let v = 622 + -622. What is the nearest to 0.1 in 0.1, v, r?
0.1
Let v(n) = -n**2 + 4. Let j be v(3). Let s = -0.152 - 0.148. Let h = -2537.7 - -2538. Which is the closest to h? (a) s (b) 5 (c) j
a
Let u = -38/33 + 185/132. Which is the nearest to -2/15? (a) 0 (b) 0.3 (c) u
a
Let w = -5 - -8. Let q = -33832 - -33834. Let z = 0.1 - 0. What is the nearest to q in w, 5, z?
w
Let j = -190 - -189. Let v = 2 - 1.9. Let y be (((-3)/(-1))/(-9))/((-4)/24). Which is the closest to 1? (a) v (b) j (c) y
a
Let v = 3.135 + -2.76. Let o = -0.275 + v. What is the nearest to o in -1, 5, 1/2?
1/2
Suppose -3*t = -0*t - 12. Let o = -4 + 4.5. Let m be (2/(-7))/((-284)/(-497)). What is the closest to m in o, t, -4?
o
Let x = -0.0254 + -2.5446. Let p = -2.47 - x. Which is the closest to p? (a) -23 (b) -1/4 (c) 1/4
c
Let o = 3039.2 + -3039. What is the closest to -0.1 in 1, o, -4, -0.06?
-0.06
Let p = 1548.7 - 1518.7. Which is the nearest to 0.1? (a) -1/4 (b) -3 (c) -4/3 (d) p
a
Suppose -6920 = -6*g - 6908. What is the nearest to -0.2 in 5, g, 0.3, -2?
0.3
Let s = -826 - -825. Which is the closest to -2? (a) s (b) 0.1 (c) -5 (d) 19/2
a
Let g = -420.92 + 419. Let d = g - 0.08. Which is the closest to -0.3? (a) 0.2 (b) -5/7 (c) d
b
Let h = 499/40 - 63/5. Let n = 10.8 - -170.2. Let w = 184 - n. Which is the nearest to w? (a) h (b) -2 (c) -4
a
Let v = -14.171 - -18.171. Which is the nearest to 753? (a) v (b) -2 (c) -0.5
a
Let y = -2.6 - -3.6. Let q = -5/8 + 43/56. Let j = -2.2 - -0.2. Which is the closest to y? (a) q (b) 0.08 (c) j
a
Let j = -12172.9 + 12173. Which is the nearest to 0.1? (a) -4 (b) -0.5 (c) -4/7 (d) j
d
Let l = 10536 + -10531. What is the nearest to -2 in 12, -4, l, -0.1?
-0.1
Suppose -2*t + 5*y = 14, 0 = 3*t + 2*t - 3*y - 3. Let l = 3.00976 + -0.00976. Which is the closest to t? (a) l (b) 0 (c) 2/9
a
Let q = -11.9 + 4.1. Let p = 838 + -834.2. Let i = p + q. Which is the closest to 12? (a) 0 (b) i (c) 0.5
c
Let v be ((-20)/(-230))/(-3 + 12/3). Suppose -6*k + 2*k - 3 = -a, 4*k = -2*a - 6. What is the closest to 2 in v, 4, k?
v
Let m = -20/1619 - 2978/21047. Which is the closest to -0.11? (a) -3/7 (b) m (c) 4 (d) 1/2
b
Let d = 846.3 - 846.33. What is the closest to -1 in -208, -1/2, d?
-1/2
Let x = 1550 + -1546. Let l = 0.084 + 0.016. Which is the closest to 0.1? (a) -3 (b) l (c) x
b
Let u = -2563 + 2573. What is the closest to 15 in -0.2, 0.3, -0.6, u?
u
Let r = -6 - -9. Suppose f - 10*f = -45. Suppose z = -z + p - f, -z - 15 = -3*p. Which is the closest to 2/31? (a) 5/4 (b) r (c) z
c
Let m = -11.35 - -1.55. Let x = 9.8 + m. Let n = 0 + -3. Which is the closest to x? (a) 2 (b) n (c) -0.3
c
Suppose 585 + 2647 = -1616*o. Let x = 4 - | {
"pile_set_name": "DM Mathematics"
} |
*h**2 + 3*h - 10. Let i be s(8). What is the tens digit of i/(-35) - (-122)/5?
2
Let z = 3902 - 2754. What is the thousands digit of z?
1
Let l = 644 - -2418. What is the units digit of l?
2
Let y(c) = -c**2 + 7*c + 92. What is the tens digit of y(12)?
3
Suppose -4*h = h + 75. Let s = -76 - h. Let c = -42 - s. What is the units digit of c?
9
Let o(j) = -23*j - 98. Suppose -26*p + 12 = -28*p. What is the tens digit of o(p)?
4
Let n(y) = -162*y**3 + 20*y**2 + 60*y - 4. What is the hundreds digit of n(-3)?
3
Suppose -18*x + 1812 = -12*x. What is the hundreds digit of x?
3
Suppose 6*v + 44 = 2*v. Let m(u) = u**2 - 3*u + 7. Let b be m(5). Let q = v + b. What is the units digit of q?
6
What is the hundreds digit of -7*(-5)/((-30)/(-102))?
1
Suppose 5*t + 1096 = 4*i, -9*t - 1056 = -4*i - 14*t. What is the units digit of i?
9
Let z be (-7 + 2 - -4)/((-1)/(-95)). Let m = z - -112. What is the units digit of m?
7
Let v(a) = a**2 - 18*a - 7. Let q(n) = -n**3 - 5*n**2 + 2*n - 5. Let k be q(-6). Let x be v(k). What is the tens digit of (1 + 10)/(6/x)?
2
Suppose j + 2*u - 41 = -2*u, 15 = 3*u. Let p(n) = -n**3 + 3*n**2 + 4. Let r be p(3). Suppose -r*w + 71 = -j. What is the tens digit of w?
2
Let u = -4090 + 5745. What is the thousands digit of u?
1
Suppose -2*n + 163 + 25 = 0. Let x = -35 - -40. Suppose -t = 4*t - f - 208, -2*t + n = x*f. What is the tens digit of t?
4
What is the hundreds digit of (20*240)/3 + 18 + -13?
6
Let a = 52 - 83. Let q = 35 + a. Suppose -3*t = -q*t + 25. What is the units digit of t?
5
Let c be (-8 - -8) + 3/1. Let p(i) = 10*i + 4. Let s be p(11). What is the units digit of c*1/(9/s)?
8
Let k(s) = s - 7. Let g be k(10). Let v(b) = -g + 11*b - 7*b - 1. What is the tens digit of v(13)?
4
Let n(k) = 2*k**2 - 11*k + 14. Suppose 0 = -5*x + 5*l + 60, -26 - 2 = -x + 5*l. Let y be n(x). Let a = 112 - y. What is the units digit of a?
8
Suppose -15 = -9*r + 6*r. Let k = r - -9. Suppose 16*c - 70 = k*c. What is the units digit of c?
5
Let i = -843 + 1494. What is the hundreds digit of i?
6
Suppose 0 = 5*u - 4*b - 6251, 9*u - 5*u - 4*b - 5000 = 0. What is the units digit of u?
1
Let g = 998 - 479. What is the tens digit of g?
1
Suppose -t = 4*t - 1840. What is the units digit of t?
8
What is the tens digit of -3 + 6854/7 + 2/(-14)?
7
Let w(m) = 3*m + 23. Let o be w(-7). Suppose -29 = -3*s + o*s. What is the units digit of s?
9
Suppose 3*k = 2*t - 3107, 19*k - 4663 = -3*t + 24*k. What is the hundreds digit of t?
5
Suppose 39 = -4*k - 2*o - 603, o = -5*k - 804. Let r = k - -231. What is the units digit of r?
0
Suppose 0 = 44*w + 33*w - 159621. What is the hundreds digit of w?
0
Let p = -217 - -115. Let t = -60 - p. What is the units digit of t?
2
Let q = 34 + 6. Suppose 3*o - q = -y, 2*y + o + 0 - 60 = 0. Suppose 8*s = 10*s - y. What is the units digit of s?
4
Let u(i) = -36*i + 75. What is the hundreds digit of u(-12)?
5
Let u(r) = -19*r - 3. Let m be u(3). Let q = 123 + m. Suppose 0*v - 42 = -2*k - 3*v, 3*v = 5*k - q. What is the tens digit of k?
1
Suppose 2*x - 8 = -4*b, -x - 5*b = -2*x + 25. Let v(n) = 2*n - 14. What is the units digit of v(x)?
6
Suppose 5*j - 110 = 40. Let i = -4 + j. What is the units digit of i?
6
Let l = -10 + -15. Let u = 35 + l. What is the tens digit of u?
1
Let b = -19 - -22. Suppose 0 = -b*f + 15 - 3. Suppose o + o - 63 = z, 87 = 3*o - f*z. What is the units digit of o?
3
Suppose 32 = 4*p + 4*m, 9 + 8 = 4*p + m. Suppose -58 = -y + p*b, 3*b - 2*b = y - 62. What is the units digit of y?
4
Let f(w) = w**3 + 10*w**2 + 11*w - 16. Let q be f(-4). Let b be 96 - ((-2 - 0) + 2). Let g = b - q. What is the units digit of g?
0
Let c(n) = 11*n + 134. Let u be c(-12). Let w = 158 + -11. Suppose p = -u*p + w. What is the tens digit of p?
4
Let m be (2/6)/(1/102). What is the tens digit of (-27)/(-6)*m/3?
5
Let q(x) be the second derivative of 311*x**3/6 - 11*x**2/2 + 34*x. What is the units digit of q(1)?
0
Let v = -59 + 106. Suppose 2*l - 225 = -v. What is the tens digit of l?
8
Let i be 5/4 - 3/(-4). Suppose 0 = 2*w + 2, 2*h + i = h - 4*w. Let s(t) = 9*t - 1. What is the units digit of s(h)?
7
Let u = 9 + -1. Let w = -8 + u. Suppose -k + w + 22 = 0. What is the units digit of k?
2
Let g(q) = q**2 + 5*q - 2. Let h be g(-6). Let t be (1 - 2)*-4 - h. Suppose t = 4*c - 5*r - 289, 3*r + 203 = 3*c + 2*r. What is the units digit of c?
6
Let q = 13 - 35. Let x(b) = -6*b + 16. Let k be x(4). Let i = k - q. What is the tens digit of i?
1
Let o(y) = -1 + 3*y + 17 + 6 - 4*y. What is the tens digit of o(-8)?
3
Let z(n) = 5*n. Let b(j) = -9*j. Let k(w) = 6*b(w) + 11*z(w). Let m(c) = 12*c + 23. Let s(q) = -4*k(q) + m(q). What is the tens digit of s(7)?
7
Let g(b) = -2*b**2 - 10*b - 8. Let t be g(-6). Let q = t + 49. Let n = q + -8. What is the units digit of n?
1
Let q(m) = -17*m**2 - 2*m + 1. Let s(p) = 6*p**2 + p. Let n(x) = 2*q(x) + 7*s(x). What is the units digit of n(-1)?
7
Suppose 5*a - 70 = -0*a. What is the units digit of a/28 + (-105)/(-2)?
3
Let z(l) = 25*l**2 + 3*l - 2. Let u be z(-3). Let b = u + -149. What is the units digit of (82/5)/(26/b)?
1
Suppose 4788 = -6*s + 18*s. Suppose s = t + 108. What is the tens digit of t?
9
Let h be 3*-2*(-2)/(-1). Let o(b) = -6*b + 7. Let v be o(-8). Let k = v + h. What is the tens digit of k?
4
Suppose v + 20 = 5*v, 1319 = 2*g - v. What is the tens digit of g?
6
Suppose -6*b + b - 1390 = 4*p, 0 = 5*b + 2*p + 1400. Let m = -153 - b. What is the hundreds digit of m?
1
Let w = 30 + -14. What is the units digit of w/28*7/1?
4
Let q = 306 + -304. Let v be (-2 + 3)*-2 + 106. Suppose g - v = -3*t, -3*g + 4 = -q. What is the units digit of t?
4
Let n(q) = 125*q - 155. What is the tens digit of n(8)?
4
Suppose 4*g = -g - 10. Let b(y) = 11*y**2 + 5*y + 5. Let c be b(g). Let f = c - 23. What is the tens digit of f?
1
What is the units digit of 40150/2475 + 2/(-9)?
6
Let w(r) = -3*r - r + 2*r - 3 + r. Let o be w(-5). Suppose 4*b + 0*v = 2*v + 130, -60 = -o*b - 4*v. What is the tens digit of b?
3
Suppose 1 = -w - 8. Let d be (-789)/w - 4/6. Suppose 2*x = -3*a + d, -4*x - 3*a + 189 = -0*x. What is the units digit of x?
1
Let d = 1536 - 469. What is the units digit of d?
7
What is the tens digit of 5564/12 + 10/(-15)?
6
Let j(b) = 0 + b**3 - 8*b + 0*b + 3*b**2 + 3*b**2 - 3. Let c be j(-7). Suppose 0 = -c*n + 4 + 12. What is the units digit of n?
4
Suppose 0 = 2*d - 2*b - 292, -16 - 4 = 4*b. What is the tens digit of 4*3*(-3)/(-54)*d?
9
Let s(q) = -87*q**3 - q**2 + 2*q. Let r be s(1). Let z = -23 - r. What is the tens digit of z?
6
Suppose y + 13 = 16. Let l(n) = 40*n**3 - n**2. Let k be l(1). Suppose -81 - k = -y*z. What is the tens digit of z?
4
Let p be ((-2)/6)/(12/(-180)). Suppose 5*j = -2*t + 8, 4*j - p + 1 = -t. Suppose -7*f + t*f + 69 = 0. What is the units digit of f?
3
Let i(s) be the second derivative of s**4/6 - s**3/6 + 3*s - 1. Suppose -2*t - 4 = -4*t + 3*l, -t = 2*l + 5. What is the units digit of i(t)?
3
Let q(f) = f + 15. Let o(k) = k + 15. Let j(d) = 4*o(d) - 3*q(d). Let p be j(-7). Suppose -c - 3 - 4 = -v, 0 = v + 4*c + p. What is the units digit of v?
4
Let y be (-3 + 2 - 3) + 153. Let a = y + -97. What is the units digit of a?
2
Suppose 12070 = 25*r - 8*r. What is the units digit of r?
0
Let d = -13 - -225. What is the tens digit of d?
1
Let g(s) = 293*s**2 - 29*s - 63. What is the units digit of g(-2)?
7
Let k(v) = -2*v + 15. Let h be k(5). Let r(a) = 5*a + 19. What is the units digit of r(h)?
4
Suppose 64*t - 45*t = 71155. What is the tens digit of t?
4
Let t(f) = 3*f - 1. Let v be t(2). Suppose 2*m + 3*m + 2*j - 452 = 0, 3*m + j = 272. Suppose -v*u + 8*b = 3*b - 90, b - m = -4*u. What is the tens digit of u?
2
Suppose -8*u - 699 = -11*u. What is the hundreds digit of u?
2
Suppose w = -8 + 2. Let r = 21 - w. What is the tens digit of r?
2
Let z(x) = -3*x + 56. Let w(i) = -2*i + 28. Let d(h) = -5*w(h) + 3*z(h). What is the units digit of d(-10)?
8
Let g = 61 - 139. What is the tens digit of (g/(-4))/(9/18)?
3
What is the hundreds digit of 5376/(-960)*3590/(-8)?
5
Let h(n) = -n**3 - n**2 - 2. Let o be h(0). Suppose 5*k - 24 = -64. What is the tens digit of ((-52)/(-16))/(o/k)?
1
Let z = 510 + -356. What is the units digit of z?
4
Suppose 5*m - 2051 = -y, 437 = 5*m + 2*y - 1610. What i | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to -0.05 in -3/4, -3/5, -2, -7?
-3/5
Which is the nearest to 2/5? (a) 16 (b) 0.2 (c) 3/2 (d) 0.3
d
Which is the nearest to 0.11? (a) 0 (b) 0.1 (c) 14
b
What is the nearest to -468 in 2, 1, 1/9, -1?
-1
Which is the nearest to 1? (a) 0.1 (b) -18 (c) 5 (d) 3/5
d
Which is the closest to 6/5? (a) -2 (b) 0 (c) 3/2 (d) -2/3
c
Which is the closest to 0.1? (a) -5 (b) 0.1 (c) 0.2 (d) 0.009
b
What is the nearest to -0.1 in 0, 0.4, 0.1, 0.019?
0
What is the nearest to 0.29 in -2/11, -0.2, 0.1, -5/3?
0.1
What is the closest to -29.5 in 0.3, -2/3, -2/61?
-2/3
What is the closest to -2/3 in -2/7, 0.071, 0.1, 0?
-2/7
What is the closest to 2 in -1/6, -1, 0.3, -2?
0.3
What is the nearest to -2 in 4/5, -0.015, -0.1?
-0.1
Which is the closest to -2/7? (a) 22 (b) -0.2 (c) -1
b
Which is the closest to 0? (a) 98 (b) -4 (c) 3/7 (d) -0.3
d
What is the nearest to -1 in 6/11, 0, 0.011, 1?
0
Which is the closest to -2? (a) 1/2 (b) -4 (c) -12/7 (d) -0.4
c
What is the nearest to -2 in 2/13, 56, 4?
2/13
What is the closest to -2/15 in -13, 5, -2/9?
-2/9
What is the closest to -1 in -5, -9/2, 6, 5?
-9/2
Which is the closest to -1/3? (a) -4/9 (b) 0.4 (c) -1.9
a
Which is the closest to 1? (a) -0.1 (b) 3 (c) 0.4 (d) -51
c
Which is the closest to -0.1? (a) 5 (b) 4 (c) 200 (d) 3
d
What is the closest to 2/101 in -1, 0.4, -5, 15?
0.4
Which is the nearest to 0.33? (a) -3 (b) -1 (c) -31
b
What is the closest to -31 in 0.07, -4, 2/17?
-4
What is the closest to 114 in 2/61, -3, 0?
2/61
Which is the nearest to 2/3? (a) 2/15 (b) 1.35 (c) 2/9 (d) 4
c
Which is the nearest to -0.2? (a) 1 (b) -167 (c) -4
a
What is the nearest to -0.2 in 8, 0.4, -3/5?
-3/5
What is the closest to 23 in 0.1, -0.1, -2, -2/7?
0.1
What is the closest to 0 in 0.075, 1/2, 0?
0
Which is the nearest to 0.2? (a) 2/9 (b) 18 (c) 0.5
a
What is the closest to -1/376 in -3, 5, 1/8, -1/4?
1/8
What is the nearest to -2 in 0.2, 4/3, -2, -1/3?
-2
Which is the nearest to 1/3? (a) 2 (b) 0 (c) -2
b
What is the closest to -4 in 2/5, -5, -10?
-5
Which is the nearest to 1? (a) -5 (b) 2 (c) -3 (d) -8
b
Which is the nearest to 2? (a) -4 (b) -0.05 (c) -1 (d) 0.5
d
What is the nearest to 9.91 in 0, -5, -0.3?
0
What is the nearest to -0.2 in -11, -1, -2, 0.38?
0.38
Which is the closest to 0? (a) -40 (b) 0 (c) 1 (d) 4
b
Which is the closest to 2? (a) -0.3 (b) -148 (c) 2
c
What is the nearest to 5 in 4/3, 2/7, -3, 3?
3
Which is the nearest to -2? (a) 4 (b) 5 (c) 81
a
What is the closest to 6 in 1, -0.4, -377, -0.2?
1
What is the nearest to 0.02 in 6, 2/3, 0.3, -1/4?
-1/4
Which is the closest to 1/3? (a) 1/5 (b) -11.1 (c) 3/7
c
What is the nearest to -2 in 0.2, 6/5, -28/3?
0.2
What is the nearest to -14 in -1, 2, 64?
-1
What is the nearest to -2/5 in -0.6, -1/10, 4.2?
-0.6
Which is the closest to 1? (a) -3 (b) -4 (c) 3 (d) -2/11
d
What is the nearest to 3 in 1/6, 0.3, 1/20, 3?
3
Which is the closest to 1? (a) 5 (b) 6 (c) 1/26 (d) 0.1
d
What is the nearest to -2 in -6/11, 5/8, 1/3, -5?
-6/11
Which is the nearest to 1? (a) -9 (b) 2/5 (c) 144
b
What is the nearest to -3 in 7, 0.5, 1, -4?
-4
What is the nearest to -1/4 in -1/76, -1/5, 3, 4?
-1/5
Which is the closest to 1/4? (a) 4 (b) 0.35 (c) -4 (d) -6
b
What is the nearest to -2/3 in -2, -0.06, 4/5, 8/7?
-0.06
Which is the nearest to 1? (a) 1.4 (b) 0.3 (c) 2/9 (d) 3
a
Which is the closest to -1/4? (a) -43 (b) 1 (c) 7 (d) -2
b
What is the closest to -0.08 in 40, -3/4, -2?
-3/4
Which is the closest to 2/7? (a) -36/23 (b) 0.5 (c) 4 (d) 0.07
b
Which is the nearest to -1/3? (a) 52 (b) -0.5 (c) -2
b
What is the closest to -1 in -23, 1/2, -3/4, 2/7?
-3/4
Which is the closest to -21? (a) 1/4 (b) -5 (c) 4/3
b
Which is the nearest to 0? (a) 0.06 (b) 48 (c) 2/3 (d) 2/5
a
What is the nearest to -14 in -8, -1, 0.4?
-8
Which is the closest to 0.2? (a) -1 (b) -1/8 (c) -9/2
b
Which is the nearest to 0.1? (a) -1 (b) 4 (c) -54 (d) 1
d
Which is the closest to 1? (a) -5 (b) -2/11 (c) -142
b
Which is the closest to -8/3? (a) 3/8 (b) 3 (c) -2 (d) -1/2
c
Which is the nearest to 2? (a) 0.1 (b) 3.5 (c) 1 (d) 2
d
Which is the nearest to 4? (a) 5/4 (b) 2/15 (c) -1 (d) -0.1
a
Which is the closest to 3? (a) -10 (b) -0.1 (c) -0.19
b
What is the closest to -1/6 in 1/5, -0.1, -4?
-0.1
Which is the nearest to 0? (a) 4/7 (b) 2 (c) 4
a
What is the nearest to -0.3 in -4, -2/5, -26?
-2/5
What is the nearest to -0.1 in -2/133, -6, 1?
-2/133
Which is the nearest to -29? (a) 29 (b) -4 (c) 4 (d) 3
b
What is the closest to 1 in -5, -8/5, -8/15?
-8/15
Which is the closest to 1/3? (a) -22 (b) 0.1 (c) -7
b
Which is the closest to -24? (a) 2/11 (b) 0 (c) 9 (d) -0.1
d
What is the closest to 30 in -3, 5, -5?
5
What is the nearest to 2/5 in 0, -11/5, 2/5, 4?
2/5
What is the nearest to 0.1 in 73, -6, 2/9?
2/9
What is the closest to -35 in 4/7, 1/7, -0.3, -2/9?
-0.3
What is the closest to 1/4 in 0.1, -1, 2, 2/277?
0.1
What is the closest to 3 in -5, -81, 1/3?
1/3
What is the closest to 0.1 in 3, -2/95, -0.5, -5?
-2/95
What is the nearest to 7/6 in 2/7, -0.4, -1/3, -0.5?
2/7
What is the nearest to 0 in 2/9, -0.442, 1, 2/3?
2/9
What is the nearest to -6 in -0.02, -2/7, 0.2, 4?
-2/7
Which is the nearest to 44/5? (a) 0.23 (b) -2/9 (c) 0.2
a
Which is the nearest to -0.1? (a) -3 (b) 200 (c) -1 (d) -5
c
What is the nearest to -1 in 1/4, 3, 2, 0?
0
Which is the closest to -4? (a) 0.5 (b) -0.3 (c) -3/7 (d) 0.3
c
Which is the closest to -96? (a) -8 (b) -1/9 (c) -1 (d) 2
a
What is the nearest to 0.6 in 6, 1, -1/2?
1
Which is the nearest to -1? (a) 38 (b) 0.4 (c) -2
c
What is the closest to 1 in 302, 0.1, 0.3, 0.2?
0.3
Which is the closest to -2/9? (a) -2 (b) -1/4 (c) -0.5 (d) 0.19
b
Which is the closest to 0.1? (a) -2/5 (b) -2 (c) -119 (d) -5
a
What is the closest to 0 in -3, -19/3, 2/11, 0.4?
2/11
Which is the nearest to 1? (a) 1 (b) -2/5 (c) 4/37
a
What is the nearest to 0 in -1, 0.4, -4/3, 3/19?
3/19
What is the nearest to 1 in 3/8, 1/5, 4?
3/8
Which is the closest to 0? (a) 0.3 (b) -4 (c) -0.7 (d) 3
a
What is the nearest to 0.1 in -9, 2, -2/3, 0.5?
0.5
What is the closest to 0.1 in 5, 4/9, -18, -2?
4/9
Which is the closest to 0? (a) -4 (b) 8 (c) -0.038
c
Which is the nearest to 1? (a) -1/5 (b) -10/11 (c) 2/29
c
What is the nearest to -0.1 in 2, -0.4, 5, 0.3?
-0.4
What is the nearest to 377 in -0.4, 1/3, -0.09, -3?
1/3
What is the nearest to 35 in 0, -4, -5, -7?
0
What is the closest to 1/3 in -5, -0.2, -0.493?
-0.2
Which is the nearest to -3? (a) 141 (b) 2 (c) -2/27 (d) 4
c
Which is the nearest to -1? (a) -49/16 (b) -3 (c) -2
c
What is the nearest to -0.3 in 49, -2, -2/13?
-2/13
What is the closest to -2/3 in -0.1, 0, -23/32, -2/7?
-23/32
Which is the nearest to -1? (a) -45 (b) -0.2 (c) -3
b
Which is the nearest to 2/5? (a) 5 (b) 2 (c) -5
b
Which is the closest to 1/3? (a) -1/4 (b) 7 (c) -2/7
a
What is the nearest to -0.0245 in 2, 0.1, -5, 1/5?
0.1
Which is the closest to 1? (a) 0.2 (b) 0.3 (c) 1/11
b
What is the nearest to 12 in 4, 1/13, 3, 0.9?
4
What is the closest to 1 in 5, 3/5, -0.9?
3/5
What is the closest to -0.5 in -1/3, 1/3, -2, 2/11?
-1/3
What is the nearest to 3/2 in -0.25, -0.3, -0.4?
-0.25
What is the closest to -1 in -1, -2/43, 0.1, 0?
-1
What is the nearest to 0 in -2, 0.5, -2.9, 1?
0.5
Which is the closest to -2? (a) -3 (b) 5 (c) 2.4 (d) 0.1
a
Which is the nearest to 11? (a) 0.9 (b) 0 (c) 1/6 (d) 0.1
a
Which is the closest to 0? (a) -0.4 (b) 2/11 (c) -0.3 (d) -209
b
Which is the nearest to 1? (a) 3/5 (b) -2 (c) 0.01
a
Which is the nearest to -3.53? (a) -2/9 (b) 0 (c) -0.1
a
Which is the nearest to 1? (a) 0.4 (b) 0.02 (c) 5/4 (d) -0.1
c
What is the closest to 0 in 2/3, 0.2, -0.087, 1?
-0.087
Which is the nearest to -2/15? (a) 1 (b) 4 (c) 4/3 (d) -0.5
d
What is the closest to 2/5 in 0.4, -33, -1/3, -1?
0.4
Which is the nearest to 3? (a) -2 (b) 18 (c) 0
c
Which is the nearest to 1? (a) -0.05 (b) -0.07 (c) 1/2 (d) 1/3
c
Which is the nearest to 0.5? (a) -0.4 (b) 1.9 (c) 1
c
Which is the closest to 0.15? (a) -15 (b) 5 (c) -4
c
Which is the nearest to -0.2? (a) 0.4 ( | {
"pile_set_name": "DM Mathematics"
} |
s prob of picking 1 e and 1 g when two letters picked without replacement from geuuuuig?
1/14
Three letters picked without replacement from {h: 1, r: 2, k: 1, y: 2, f: 1, s: 1}. Give prob of picking 1 f, 1 r, and 1 h.
1/28
What is prob of picking 1 h and 2 x when three letters picked without replacement from {h: 2, s: 1, z: 3, x: 12, q: 2}?
11/95
Three letters picked without replacement from nqfnqnyn. What is prob of picking 1 y and 2 q?
1/56
Calculate prob of picking 2 l when two letters picked without replacement from {s: 3, f: 1, l: 4, h: 2, b: 4}.
6/91
Two letters picked without replacement from uduyuuyddudddduuduu. Give prob of picking 2 d.
28/171
Calculate prob of picking 2 m when two letters picked without replacement from nmmmonmnmnmmom.
4/13
Three letters picked without replacement from lpsssllslss. What is prob of picking 1 p and 2 l?
2/55
Calculate prob of picking 2 p, 1 x, and 1 d when four letters picked without replacement from pvsxvppdvxspdo.
24/1001
What is prob of picking 4 r when four letters picked without replacement from {a: 1, y: 2, z: 1, r: 3}?
0
What is prob of picking 1 c and 1 q when two letters picked without replacement from {q: 2, c: 10}?
10/33
What is prob of picking 1 s and 2 t when three letters picked without replacement from wpbttswssspsbbs?
6/455
What is prob of picking 2 e when two letters picked without replacement from eeeeieeeeeeee?
11/13
What is prob of picking 3 q when three letters picked without replacement from quuuuuuqquuuuq?
1/91
What is prob of picking 1 u and 3 n when four letters picked without replacement from {n: 4, u: 6}?
4/35
Calculate prob of picking 1 f, 1 v, 1 k, and 1 n when four letters picked without replacement from {n: 1, k: 1, l: 7, v: 4, s: 2, f: 2}.
2/595
Calculate prob of picking 1 t and 1 l when two letters picked without replacement from ltwlrtt.
2/7
Calculate prob of picking 1 o and 3 t when four letters picked without replacement from {t: 7, o: 3}.
1/2
Three letters picked without replacement from {p: 12, g: 7}. What is prob of picking 3 g?
35/969
Two letters picked without replacement from dvbxf. What is prob of picking 1 b and 1 d?
1/10
Two letters picked without replacement from {l: 4, w: 3, p: 2, h: 1, t: 2, n: 3}. Give prob of picking 1 h and 1 n.
1/35
Two letters picked without replacement from cciccccicc. What is prob of picking 2 c?
28/45
What is prob of picking 2 i and 2 q when four letters picked without replacement from {o: 2, q: 3, i: 3}?
9/70
What is prob of picking 1 t, 1 s, and 1 d when three letters picked without replacement from ssswsidwttjd?
4/55
Four letters picked without replacement from {m: 3, v: 5, c: 3}. What is prob of picking 2 v and 2 m?
1/11
What is prob of picking 1 n, 1 r, and 2 m when four letters picked without replacement from {w: 1, r: 1, k: 1, m: 2, o: 1, n: 1}?
1/35
Calculate prob of picking 3 v when three letters picked without replacement from {k: 11, v: 9}.
7/95
Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ptttbptbtttttttttbtt.
3/19
Four letters picked without replacement from {o: 2, t: 1, n: 5, r: 1}. What is prob of picking 1 t, 1 r, and 2 n?
5/63
Three letters picked without replacement from filfllllll. What is prob of picking 2 i and 1 f?
0
Two letters picked without replacement from mmumummmm. What is prob of picking 1 u and 1 m?
7/18
Calculate prob of picking 1 x, 1 c, and 2 h when four letters picked without replacement from hhcxqwqwwqbq.
1/495
Two letters picked without replacement from wiiwisuis. What is prob of picking 1 i and 1 u?
1/9
What is prob of picking 1 m and 1 h when two letters picked without replacement from hhmvwhvwvhcvhyh?
2/35
Calculate prob of picking 2 d when two letters picked without replacement from xdrrdw.
1/15
Three letters picked without replacement from uopoocpo. What is prob of picking 1 c and 2 o?
3/28
Calculate prob of picking 2 h when two letters picked without replacement from uhhuhhhuhuhuhuhuuuhh.
11/38
What is prob of picking 1 v and 2 o when three letters picked without replacement from oeevddiodevooovo?
9/112
Calculate prob of picking 1 e and 2 r when three letters picked without replacement from rjjererre.
3/14
Calculate prob of picking 1 w, 2 l, and 1 z when four letters picked without replacement from lzjzllzwlwszwlw.
32/273
Two letters picked without replacement from oswwwssoesssoebswos. What is prob of picking 1 s and 1 w?
32/171
Two letters picked without replacement from {a: 2, g: 5}. What is prob of picking 1 g and 1 a?
10/21
What is prob of picking 3 t and 1 e when four letters picked without replacement from wthtwwteettewheew?
5/238
Two letters picked without replacement from ggggqq. Give prob of picking 1 g and 1 q.
8/15
Three letters picked without replacement from vlbvvvlvlvvllvl. What is prob of picking 1 l and 2 v?
24/65
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from yhbuhhuubudhyb.
2/91
Three letters picked without replacement from {x: 3, a: 1, p: 3, e: 13}. Give prob of picking 1 e and 2 p.
13/380
Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {x: 1, h: 2, p: 2, n: 2, u: 1}.
1/14
What is prob of picking 1 i, 1 g, and 1 v when three letters picked without replacement from egeyvxvvvviii?
15/286
Two letters picked without replacement from jyjymmmmmjmymyj. Give prob of picking 2 y.
2/35
Calculate prob of picking 1 c, 1 a, 1 m, and 1 e when four letters picked without replacement from ggmlcea.
1/35
Three letters picked without replacement from {m: 3, x: 3, g: 3, p: 8}. What is prob of picking 1 m, 1 g, and 1 p?
9/85
Four letters picked without replacement from oooooooooo. What is prob of picking 4 o?
1
What is prob of picking 1 v, 1 q, and 1 g when three letters picked without replacement from {v: 6, g: 1, q: 10}?
3/34
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 1, c: 2, u: 4, q: 9}.
1/30
Three letters picked without replacement from {p: 2, u: 2, z: 2, g: 1, k: 1}. What is prob of picking 1 g and 2 p?
1/56
Three letters picked without replacement from {q: 12, g: 1, k: 3}. What is prob of picking 1 q and 2 k?
9/140
Two letters picked without replacement from {d: 2, l: 4}. What is prob of picking 2 d?
1/15
Four letters picked without replacement from {y: 9, n: 3}. What is prob of picking 3 n and 1 y?
1/55
What is prob of picking 2 c when two letters picked without replacement from {z: 1, c: 5, m: 3, v: 7}?
1/12
Calculate prob of picking 2 e, 1 v, and 1 m when four letters picked without replacement from {m: 3, v: 5, e: 6, h: 3}.
45/476
What is prob of picking 1 p and 1 i when two letters picked without replacement from sppiiiiisiii?
8/33
Three letters picked without replacement from jrrrrrrrrrrrjrjr. What is prob of picking 3 r?
143/280
Two letters picked without replacement from mmmnnummnb. What is prob of picking 1 b and 1 n?
1/15
Three letters picked without replacement from ewexxwxewww. What is prob of picking 3 e?
1/165
What is prob of picking 2 v when two letters picked without replacement from {k: 7, v: 6}?
5/26
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, c: 4, e: 2, z: 6}.
6/35
Three letters picked without replacement from {a: 2, n: 5, t: 1, e: 3, m: 1, r: 1}. What is prob of picking 1 a and 2 n?
10/143
What is prob of picking 1 z, 1 f, and 1 j when three letters picked without replacement from {z: 6, f: 5, j: 4, s: 4}?
40/323
Calculate prob of picking 1 g and 1 w when two letters picked without replacement from gwgigipiii.
1/15
Four letters picked without replacement from otaatataaaatqttaaaqt. Give prob of picking 1 o, 1 t, and 2 a.
21/323
What is prob of picking 2 p when two letters picked without replacement from aacppkcacaakkta?
1/105
What is prob of picking 1 c and 1 o when two letters picked without replacement from vvobc?
1/10
Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {c: 1, p: 2, i: 2}.
1/5
What is prob of picking 1 h, 1 i, 1 r, and 1 e when four letters picked without replacement from qhhrhihhihehhuu?
16/1365
Four letters picked without replacement from mmmfddb. What is prob of picking 1 f and 3 m?
1/35 | {
"pile_set_name": "DM Mathematics"
} |
60?
False
Is 110586 a multiple of 21?
True
Is 187122 a multiple of 16?
False
Does 531 divide 3430791?
True
Is 57 a factor of 1250858?
False
Is 2 a factor of 1297?
False
Is 12 a factor of 21024?
True
Is 383436 a multiple of 37?
False
Is 8312610 a multiple of 30?
True
Is 62 a factor of 197160?
True
Does 52 divide 2083328?
True
Does 577 divide 155838?
False
Is 104 a factor of 8736?
True
Does 5 divide 1319749?
False
Does 23 divide 355766?
False
Does 794 divide 2703938?
False
Is 8149696 a multiple of 480?
False
Is 44 a factor of 261614?
False
Is 256120 a multiple of 198?
False
Is 15 a factor of 469185?
True
Is 12 a factor of 7471948?
False
Is 2084728 a multiple of 37?
True
Is 505335 a multiple of 5?
True
Is 16 a factor of 733296?
True
Is 11 a factor of 251295?
True
Does 59 divide 508371?
False
Does 344 divide 4333712?
True
Is 143 a factor of 181606?
False
Is 527 a factor of 3518254?
False
Is 33335 a multiple of 6?
False
Is 423303 a multiple of 12?
False
Is 17210 a multiple of 83?
False
Is 647343 a multiple of 17?
True
Does 61 divide 819327?
False
Is 2010715 a multiple of 34?
False
Does 780 divide 7910455?
False
Is 4502690 a multiple of 9?
False
Is 334 a factor of 1201284?
False
Is 7865022 a multiple of 45?
False
Is 8 a factor of 4249472?
True
Does 333 divide 274059?
True
Does 8 divide 776224?
True
Is 181 a factor of 282360?
True
Is 235 a factor of 6604440?
True
Is 2453744 a multiple of 231?
False
Is 172294 a multiple of 311?
True
Does 75 divide 13875?
True
Is 248560 even?
True
Is 7 a factor of 20364?
False
Is 138 a factor of 1349637?
False
Does 3 divide 9115?
False
Is 9194084 a multiple of 39?
False
Is 790248 a multiple of 76?
True
Does 115 divide 1988144?
False
Is 203952 a multiple of 14?
True
Does 25 divide 1500825?
True
Is 8 a factor of 2893040?
True
Does 783 divide 4059855?
True
Is 17 a factor of 174357?
False
Does 157 divide 726596?
True
Is 152586 a multiple of 98?
True
Is 5738488 a multiple of 392?
True
Is 18649 a multiple of 3?
False
Does 10 divide 375380?
True
Is 55522 a multiple of 46?
True
Is 548 a factor of 143104?
False
Does 3 divide 41608?
False
Is 146 a factor of 475522?
True
Is 266190 a multiple of 2?
True
Does 35 divide 3519635?
True
Does 208 divide 93664?
False
Does 4 divide 161120?
True
Is 25 a factor of 60388?
False
Does 486 divide 2558790?
True
Does 831 divide 11389891?
False
Does 25 divide 2234802?
False
Is 14 a factor of 851276?
False
Does 13 divide 252959?
False
Is 63138 a multiple of 619?
True
Is 115 a factor of 4985411?
False
Is 1516597 a multiple of 3?
False
Is 20 a factor of 460870?
False
Is 451366 a multiple of 55?
False
Is 139 a factor of 2303925?
True
Is 12908805 a multiple of 48?
False
Does 138 divide 140905?
False
Is 235 a factor of 28200?
True
Does 469 divide 115374?
True
Is 414027 a multiple of 537?
True
Is 7281892 a multiple of 23?
True
Does 120 divide 1691880?
True
Is 309 a factor of 64513?
False
Is 52 a factor of 895024?
True
Is 7 a factor of 288463?
True
Does 468 divide 548952?
False
Does 20 divide 973480?
True
Is 2804533 a multiple of 19?
True
Is 2737 a multiple of 23?
True
Is 1068 a factor of 1190820?
True
Is 289 a factor of 866444?
False
Does 6 divide 61722?
True
Does 254 divide 154432?
True
Is 2 a factor of 937370?
True
Is 1966074 a multiple of 20?
False
Is 112905 a multiple of 11?
False
Is 225 a factor of 171900?
True
Is 220 a factor of 128920?
True
Is 7 a factor of 28493626?
True
Is 51 a factor of 1272501?
True
Is 74151 a multiple of 321?
True
Is 115 a factor of 1741187?
False
Does 22 divide 7709925?
False
Is 702214 a multiple of 7?
False
Is 1261470 a multiple of 218?
False
Does 17 divide 6923488?
True
Does 22 divide 474387?
False
Is 75 a factor of 232431?
False
Is 12 a factor of 3224?
False
Does 51 divide 26306286?
False
Is 5115708 a multiple of 884?
True
Is 208 a factor of 305344?
True
Is 4702 a multiple of 5?
False
Is 113412 a multiple of 78?
True
Is 2188373 a multiple of 346?
False
Is 4542657 a multiple of 21?
True
Is 19 a factor of 633371?
False
Is 5 a factor of 488372?
False
Is 22 a factor of 188144?
True
Is 13 a factor of 8155815?
False
Does 67 divide 1251309?
False
Is 4 a factor of 229104?
True
Is 31 a factor of 120283?
False
Is 92 a factor of 471776?
True
Does 545 divide 4290306?
False
Is 81 a factor of 455350?
False
Does 187 divide 164295?
False
Is 2781350 a multiple of 275?
True
Is 9480288 a multiple of 204?
True
Does 447 divide 15010935?
False
Is 14 a factor of 1715498?
False
Is 2801621 a multiple of 363?
False
Is 34 a factor of 4258398?
True
Is 6 a factor of 424608?
True
Is 72 a factor of 44153?
False
Does 30 divide 2641980?
True
Is 8 a factor of 468984?
True
Is 103 a factor of 2123435?
False
Is 575733 a multiple of 707?
False
Does 550 divide 2917604?
False
Is 24 a factor of 4235016?
True
Does 11 divide 4251621?
True
Is 297 a factor of 7006397?
False
Is 4035719 a multiple of 793?
False
Is 9063093 a multiple of 52?
False
Does 294 divide 38657?
False
Is 1520063 a multiple of 34?
False
Is 2285849 a multiple of 55?
False
Does 69 divide 863604?
True
Does 172 divide 3628856?
True
Is 290 a factor of 234610?
True
Is 252 a factor of 580687?
False
Does 44 divide 1251787?
False
Is 448 a factor of 146099?
False
Is 5792109 a multiple of 20?
False
Is 19 a factor of 142367?
True
Does 3006 divide 13394711?
False
Does 119 divide 721735?
True
Does 105 divide 4323895?
False
Does 3 divide 22233?
True
Is 26 a factor of 555233?
False
Is 573098 a multiple of 241?
True
Does 13 divide 655655?
True
Is 45 a factor of 8606835?
True
Does 12 divide 764868?
True
Is 136 a factor of 523192?
True
Is 4835636 a multiple of 49?
False
Does 363 divide 123456?
False
Is 693225 a multiple of 25?
True
Does 13 divide 1780?
False
Is 5 a factor of 1952569?
False
Does 8 divide 430496?
True
Is 29 a factor of 974298?
False
Is 285 a factor of 99180?
True
Is 163 a factor of 477065?
False
Is 50 a factor of 128943?
False
Is 13 a factor of 280280?
True
Is 24 a factor of 634684?
False
Is 1337267 a multiple of 307?
False
Does 47 divide 7343891?
True
Is 129 a factor of 751861?
False
Does 6 divide 1007351?
False
Does 1147 divide 1488806?
True
Is 25607934 a multiple of 18?
True
Does 108 divide 1695455?
False
Does 2 divide 62328?
True
Is 55519 a multiple of 59?
True
Is 265 a factor of 88245?
True
Is 29 a factor of 155411?
True
Is 1430488 a multiple of 243?
False
Does 188 divide 1344952?
True
Is 11 a factor of 4905700?
False
Does 10 divide 228140?
True
Is 80 a factor of 4878880?
True
Is 2039880 a multiple of 12?
True
Does 32 divide 315188?
False
Is 379974 a multiple of 166?
True
Does 1161 divide 2160621?
True
Is 609902 a multiple of 110?
False
Does 25 divide 12700?
True
Does 69 divide 11438337?
True
Does 420 divide 394230?
False
Is 6 a factor of 851850?
True
Is 409 a factor of 26372?
False
Is 11893914 a multiple of 31?
False
Does 105 divide 403305?
True
Does 13 divide 5252923?
True
Does 58 divide 6752708?
True
Is 5 a factor of 62911?
False
Is 372034 a multiple of 349?
True
Is 2017200 a multiple of 600?
True
Is 151455 a multiple of 115?
True
Is 43 a factor of 23448774?
False
Is 119 a factor of 3740251?
False
Is 19 a factor of 1899630?
False
Does 2 divide 43813?
False
Is 25 a factor of 157875?
True
Is 2404092 a multiple of 7?
False
Is 9297637 a multiple of 138?
False
Is 218 a factor of 116848?
True
Does 211 divide 336756?
True
Is 712750 a multiple of 125?
True
Does 13 divide 2839382?
True
Is 318 a factor of 20309693?
False
Is 1231998 a multiple of 18?
False
Does 22 divide 102916?
True
Is 14 a factor of 34109042?
False
Does 849 divide 11454049?
False
Is 19 a factor of 274436?
True
Is 21 a factor of 1430856?
True
Is 135392 a multiple of 32?
True
Is 405405 a multiple of 63?
True
Does 128 divide 1794432?
True
Is 28856 a multiple of 8?
True
Is 559326 a multiple of 438?
True
Does 63 divide 237573?
True
Does 22 divide 5409281?
False
Does 222 divide 2102041?
False
Is 249978 a multiple of 17?
False
Does 13 divide 4981210?
True
Does 29 divide 612467?
False
Is 710 a factor of 347946?
False
Is 296581 a multiple of 506?
False
Is 4 a factor of 435500?
True
Is 1622712 a multiple of 56?
True
Is 168108 a multiple of 68?
False
Is 13 a factor of 193258?
True
Does 347 divide 3097669?
True
Is 607 a factor of 262302?
False
Does 13 divide 3586271?
True
Does 21 divide 884? | {
"pile_set_name": "DM Mathematics"
} |
22*q as d*q + a and give a.
1
Rearrange b - b - b + (-5573 - 3684 + 8035)*(-18*b + 2*b + 4*b) + (5 - 2 - 2)*(2 - 2 + 2*b) to the form a + f*b and give f.
14665
Rearrange (11 + d - 11)*(-2 - 330*d - 466*d - 2*d**2 + 2*d**3 - 713*d) to s + o*d**2 + j*d + t*d**4 + k*d**3 and give t.
2
Express -176*o - 2 - 16*o**2 + 12*o**2 + 177*o - 39*o**2 + 1 as w*o + n + i*o**2 and give n.
-1
Express -p + 4 + 58*p**3 + 10*p**3 - 138*p**3 - 7*p**3 in the form x*p**3 + u*p**2 + j*p + t and give t.
4
Rearrange -i**3 + 2*i**2 + 0*i + 0*i + (-2*i**2 - 3*i**2 - 15*i**2)*(-5 + 0 + 2)*(i + 3*i - 6*i) to u + h*i + w*i**2 + l*i**3 and give w.
2
Rearrange 0*r**4 - 3*r**4 - r**4 + (10*r + 5 - 5)*(-17 - 34*r + 17)*(-r**2 + 2*r**2 - 5*r**2) to v*r**2 + q*r**3 + g*r**4 + a + k*r and give k.
0
Rearrange -24*i**2 - 1 + 44*i + 2*i**3 - 21*i - 4*i - 21*i + 0 to the form n + d*i**3 + q*i**2 + z*i and give q.
-24
Rearrange (-4623*y**2 - 1689250*y + 1689250*y)*(-2*y - 3 + 3) to the form j*y**2 + b*y + r + n*y**3 and give j.
0
Rearrange -1365 - 172*j**2 - 1359 + 4081 - 1360 - 3*j**3 + 4*j**3 to n*j**3 + d*j**2 + l + a*j and give n.
1
Rearrange (-1 + 1 + 2)*(-2 + 4 - 1)*(327*z**3 - 10908 - 655*z**3 + z**2 + 329*z**3) to the form h + r*z + k*z**3 + l*z**2 and give l.
2
Rearrange -12*i**4 - 9*i**4 + 0*i**4 + (-i + i + 3*i**3)*(i - 4*i + 2*i) + 12*i**4 + 22*i**4 + 34*i**4 to v*i + u + z*i**3 + c*i**2 + a*i**4 and give a.
44
Rearrange 33*v**2 - 61*v**2 - 16 + 27*v**2 - 1 to the form j*v + k + y*v**2 and give k.
-17
Rearrange (-4*f + 4*f - f)*(f + 0*f + 2*f) + 335 + 243 - 4*f + 42*f**2 - 576 to the form r + b*f**2 + o*f and give b.
39
Express (-82*q - 47*q + 78*q)*(-7*q + 5*q**2 + 8*q + 2*q + 4*q**3) in the form s*q**3 + r*q**4 + n*q + k + h*q**2 and give r.
-204
Express -14*x - 61 - 258 + 2*x**3 + 12*x + 7*x - 63 as h*x + p*x**3 + j + s*x**2 and give s.
0
Express (-3 + 3 - 12)*(x**4 - 38 + 5*x**2 + 38) in the form j + g*x + c*x**2 + q*x**3 + r*x**4 and give r.
-12
Rearrange 3*a**2 + a**2 + 0*a**2 + a + (-2 - 9 + 3)*(5 - 5 - 2)*(-584*a**2 - 345*a**2 + 28*a**2) to the form i + z*a + x*a**2 and give z.
1
Rearrange -3 + 3 + 2*d + (2*d - 4*d + d)*(2 + 0 - 4) + 5*d - 5*d + d - d + 2*d + 0*d + 34037*d - 3 + 10801*d + 3 + 24817*d - 17619*d to f + g*d and give g.
52042
Express (-1 + 1 - 3*y)*(-5*y - 7 + 7)*(-45 - 52 - 7) as x*y + i + r*y**2 and give r.
-1560
Express (-2*h**2 + 2*h**2 - 2*h**2)*(7*h + 3*h + 0*h) + 3 - 3 - 20*h**3 in the form j*h**3 + o + m*h + g*h**2 and give j.
-40
Express (-254 - 100 + 497)*(-5*a + 3*a - 8*a) in the form i*a + x and give i.
-1430
Express 203*p**3 - 5*p**2 + 3*p - 2*p**2 + 107 - 2*p**2 + 11*p**2 - 208*p**3 in the form a*p + d + c*p**2 + v*p**3 and give v.
-5
Rearrange a + 11*a**3 - 203*a**2 + 2 + 2*a - 11 + 205*a**2 to the form r*a + d + l*a**3 + k*a**2 and give k.
2
Express -36*k**2 - 6*k**3 - 25*k + 0*k**3 + 9*k**3 - 4*k**3 in the form n + v*k + g*k**3 + p*k**2 and give v.
-25
Rearrange 270301*k**3 + 5785*k**4 - 540608*k**3 + 270309*k**3 + 1 to t*k + x*k**4 + f*k**2 + s + o*k**3 and give o.
2
Express -2*v**3 + 299*v**2 - 1192*v**2 - 57*v**4 + 296*v**2 + 9 + 294*v**2 + 301*v**2 in the form f*v**4 + j*v**3 + b*v + t + s*v**2 and give j.
-2
Rearrange 1 + 797*i**2 - 1707*i**2 - i + 651*i**2 + 627*i**2 to the form q*i**2 + f + t*i and give q.
368
Rearrange 15*v**3 - 10 + 18476*v - 18476*v + 11*v**4 to the form s*v**3 + b*v + y*v**2 + j*v**4 + u and give s.
15
Express -78*l + 350*l**2 + 3932*l**2 + 78*l - 595*l**2 in the form v*l**2 + j*l + b and give v.
3687
Express (2708*d**4 + 926*d**4 + 811*d**4 + (0*d + 2*d + 0*d)*(0*d**3 + 3*d**3 - 2*d**3))*(4 + 0 - 6) in the form z*d**3 + p*d**4 + n + k*d + g*d**2 and give p.
-8894
Express 242 + 265*f - 518*f - 31*f**3 + 2 + 254*f as c + q*f**3 + u*f**2 + z*f and give c.
244
Rearrange -789 - 23*o**3 + 790 - 227*o**3 to c*o + g*o**3 + a*o**2 + i and give i.
1
Express 0*h + 2*h - 4*h - h + 6*h - 3*h - 3 - 6*h + 3 + (1 - 4 - 2)*(24*h - 30 + 30) as f + w*h and give w.
-126
Express -48*k**3 - 84*k - 1 + 89*k - 2*k**2 + 104*k**3 as v*k + m*k**3 + h + b*k**2 and give m.
56
Express (1 + 1 - 4)*(-1 + 13*m - 2 + 2 + 35*m - 45*m - 58*m + (-3 + 2 + 0)*(2*m + 2 - 2)) in the form a*m + t and give t.
2
Express -1 + 463*a + 104*a**2 + 12*a**3 - 929*a + 3*a**2 + 466*a in the form d + u*a**2 + l*a**3 + r*a and give u.
107
Express -5*b**3 - 10765*b**2 + 10766*b**2 + 5*b - 6*b + 3*b**4 as i*b**2 + c + p*b**3 + h*b**4 + m*b and give p.
-5
Express 534*j - 128*j + 19 - 211*j - 74*j in the form o + f*j and give o.
19
Express -20*f**4 - f + 2 + 176*f**4 + 2*f**3 - 4312*f**2 + 2150*f**2 + 2160*f**2 in the form i + a*f + l*f**3 + w*f**4 + n*f**2 and give l.
2
Express 125092 - 2*q + 5*q**2 + 3*q - 125092 - 26*q**4 + q**3 in the form a*q**2 + w + x*q**3 + z*q**4 + i*q and give x.
1
Express 1567*f + 1448*f + 771*f - 192*f as v + a*f and give a.
3594
Express 912 + 946 - 1858 + 275*o + 3011*o in the form q + h*o and give h.
3286
Rearrange (-4*a**2 + 5*a**2 - 2*a**2)*(18*a**2 + 493*a**2 - 156*a**2) - a**3 - 2*a**4 + a**3 to the form s*a**4 + b*a**3 + f*a**2 + u*a + i and give s.
-357
Rearrange 14 - 102*w + 34*w - 15 - 4 to the form x + u*w and give x.
-5
Express (13*v + 16*v - 11*v)*(-4448*v + 2234*v + 2222*v + 46) as l + i*v**2 + t*v and give i.
144
Express -33*n - 43*n + 76*n - 2251*n**2 - 2911*n**2 + (-4 + 0 + 2)*(-2*n**2 - 3 + 3) in the form j + l*n + b*n**2 and give j.
0
Rearrange 9*y**2 - 10*y - 3*y**3 - y + 5*y**3 to the form s*y**2 + n*y + g*y**3 + p and give g.
2
Express 0 + 4370*b + 0 - 15733*b as o + u*b and give u.
-11363
Express -15 - 21 + 76 - 21 - 1033*v - 20 as w + f*v and give w.
-1
Express 159 + 614089*l**2 - 1228179*l**2 + 614084*l**2 as c + t*l + x*l**2 and give c.
159
Express (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 1 + 2) - 147*v**2 - 469*v**2 - 88*v**2 in the form w + o*v**2 + r*v and give o.
-700
Express -t - 205 + 5*t**3 - 201 - 6*t**3 - 59 - 988 in the form n + m*t**3 + h*t + q*t**2 and give h.
-1
Rearrange 19847*n - 38865*n + 2 + 20320*n - 5 to p + h*n and give h.
1302
Express -268*c**2 - 828*c**2 - 16*c + 4*c + 13*c in the form x*c**2 + s + l*c and give l.
1
Express (-3*o + 3*o - o)*(8 + 2 - 2)*(0 + 0 - 2) + (-2 + 4 + 23)*(-2*o + 3 - 3) - 2*o - 1 + 1 as m + x*o and give m.
0
Express (2 + 2 - 1)*(-1 - 10 + 2)*(-69 + 82 - 85)*(15*h - 5*h - 3*h) as u*h + d and give u.
13608
Rearrange 96*y**3 - 313*y**3 + 91*y**3 + 4*y + 105*y**3 to the form d*y**2 + f*y**3 + t*y + j and give t.
4
Rearrange -9792*o + 3264*o + 4*o**2 + 10 + 3265*o + 3266*o + 10*o**3 - o**3 to c*o**3 + f*o + p*o**2 + t and give f.
3
Express 2*y - 9*y**2 - 12*y**2 - 10*y**2 + 11 + 46*y**2 - 11*y**2 in the form u*y**2 + c*y + x and give u.
4
Express -32615*n - 1787*n + 4868*n in the form r*n + v and give r.
-29534
Express (4 + 1 - 4)*(-635*p**2 + 853*p**2 + 313*p**2 - 1) in the form u*p + y + q*p**2 and give y.
-1
Rearrange (w - 4*w + 0*w)*(3*w - w - 4*w) - 2*w**2 - 2*w**2 + w**2 + 8*w**2 - 59*w**2 - 14*w**2 to f + l*w**2 + m*w and give l.
-62
Rearrange 1 + 3 + 645*o + 1 - 8 + 0 to the form b*o + s and give b.
645
Rearrange (-32*q + 38*q - 47*q)*(q**2 - q**2 - q**2) + (-38*q**2 + 37*q**2 - 137 + 701)*(3*q - 3*q - 2*q) to n + x*q + m*q**3 + i*q**2 and give x.
-1128
Express (-2*t**2 + 2*t**2 - t**2 + t)*((2*t + t - 4*t)*(-1 - 3 + 6) + (421 - 1761 - 132)*(-4*t + 3*t + 2*t)) in the form y*t**3 + m*t**2 + h*t + l and give y.
1474
Rearrange 5*b**4 - 17231*b**3 + 5 - 17232*b**3 + 34488*b**3 to a*b + c*b**3 + t*b**4 + d + p*b**2 and give t.
5
Express 2833892 - k**3 + 74*k**4 - 4*k - 2833895 - 2*k**2 - 2*k as q*k**4 + x*k + t*k**2 + r + y*k**3 and give r.
-3
Express -3771*g - 1831*g - 4842*g as p*g + n and give p.
-10444
Rearrange 36*r**2 - 505 + 505 + (r - r + r)*(59*r - 63*r - 23*r) to the form b + v*r + a*r**2 and give a.
9
Express (-19*c**3 + 206*c**2 - 206*c**2)*(-3*c + 2*c + 4*c) - 51*c**4 + 39*c**4 - 65*c**4 as z*c**2 + w + y*c + l*c**4 + g*c**3 and give l.
-134
Rearrange -2*g**3 - 81 - 77*g**4 + 0*g + 46*g**4 + 0*g to the form v*g**4 + d*g**2 + x*g + r*g**3 + k and give r.
-2
Express -1 + 0 - 42*p**4 + 60*p**4 + 3*p**3 + (-3 + 4 - 3)*(p**4 + 6*p**4 - p**4) as r + h*p**3 + j*p**2 + k*p + d*p**4 and give h.
3
Rearrange (54 + 233 - 925 - 773)*(-8*d + 8*d - 2*d**4) + 5*d**4 - d** | {
"pile_set_name": "DM Mathematics"
} |
(-5)/(10 - 5)?
-2
What is (-6*14/(-105))/(14/(-5))?
-2/7
What is 1088/(-256) - 5/(-4)?
-3
What is 144/45 - (-8)/10?
4
20/125*(-20)/(-8)
2/5
Evaluate 12/8*(-1 - 22/(-24)).
-1/8
What is 2/24 - (-784)/(-192)?
-4
Evaluate 135/(-810)*6/(-13).
1/13
What is the value of 20/45*7/(-4) - -1?
2/9
Calculate (-2 + (-18)/(-7))/(-1 - -3).
2/7
Evaluate (-11)/(-22)*((-1 - 0) + 15).
7
(-10)/(-3) + (-164)/123
2
Evaluate 8/30 + (10 - (-128)/(-12)).
-2/5
What is -12*(-6)/(-27) + 24/12?
-2/3
What is 470/50 - 10 - 31/(-35)?
2/7
What is (36/54)/(2/24)?
8
(-15)/(-10) + 17/(-10)
-1/5
Calculate 3 + (-2)/(28/46).
-2/7
What is the value of 7 + -4 + 15/(-6)?
1/2
What is (-416)/80 + (8/(-10) - 0)?
-6
Calculate (-2 - (-10)/8) + 1 + 0.
1/4
Calculate ((-3)/(6/4))/(40/(-100)).
5
28/26 - (-3)/(-39)
1
(-7*9/(-252))/((-3)/(-4))
1/3
Evaluate 4 - ((-648)/28)/(-6).
1/7
What is 3/(-7 - -4)*(-10)/45?
2/9
What is the value of (50 - 45)/(2 - (-6)/(-8))?
4
36/8*(-20)/(-18)
5
Evaluate (-4)/22 - 0 - (-40)/220.
0
Evaluate (4/184)/((-1)/(-4)).
2/23
42/56 + (1 - 2)/(-4)
1
Calculate (-1 - (135/(-20) + 0)) + -5.
3/4
What is the value of 7 + 13/(130/(-100))?
-3
What is (5/130 - 0)/((-5)/20)?
-2/13
What is the value of (2 + -2)*(1 - 2)?
0
What is (-3)/9*0 + 8/(-44)?
-2/11
What is 40/(-102) - (-116)/1972?
-1/3
What is 25/2*((-290)/50 - -6)?
5/2
(-6)/9*(-1)/(4/(-6))
-1
(1/(-2))/(3/(-6) - 0)
1
(-68)/(-17) - (5 - (1 + 1))
1
What is 7 + (-1122)/143 + -1 + 2?
2/13
What is 3/(-2) + (-150)/140 + 2?
-4/7
Calculate (-8)/(-10)*15/3.
4
What is the value of (-17)/(-28) + (10 - (-663)/(-68))?
6/7
What is 16/(-104) - (-54)/13?
4
What is 2/(-5)*13/(-52)?
1/10
Calculate (-340)/350 - (-2)/5.
-4/7
-10 + (4 + -9 - -8)
-7
What is the value of 2/(-6)*(3 + (-36)/4)?
2
((-3)/(-15))/((-288)/(-45) - 6)
1/2
What is (-140)/(-315) + 4/18?
2/3
Evaluate (18/20)/(12/5).
3/8
What is -9*(-8)/180 - 17/5?
-3
What is the value of (65/(-39) - 3/2) + 3?
-1/6
What is the value of (0 - -4)*(-7 + (-69)/(-10))?
-2/5
(69/15 + -4)*(-5)/(-1)
3
What is the value of -2 + 24/11 + 0/41?
2/11
Calculate 30/(-70)*21/(-15).
3/5
What is the value of 2/(-15)*12*4/16?
-2/5
Calculate 2 + (-15 - -16) + 1 + -1.
3
What is the value of -2*(-9)/(-12)*40/15?
-4
What is 6/(-4)*(76/24 + -3)?
-1/4
Evaluate 138/(-506)*6/(-9).
2/11
Evaluate 97/(-291)*(8 - 0).
-8/3
Calculate 12/3 + 9 + -11.
2
Calculate (8/(-264))/(2/12*-2).
1/11
What is the value of 4/12*2/(-4)*-6?
1
What is (-10)/(-6)*(14 + 377/(-26))?
-5/6
What is ((-496)/(-155))/(16/10 + -2)?
-8
What is the value of (-32)/(-45) - (210/(-54) + 4)?
3/5
Calculate (-24)/(-36) - 16/6.
-2
What is the value of (20/(-40))/(2*2/(-4))?
1/2
What is the value of ((-9)/(-6))/((-2)/(12/3))?
-3
(-4*12/120)/(1/(-5))
2
185/(-105) - (-9)/21
-4/3
(-1)/2 + 12/(-8) + 6
4
(-1)/(31/12 - 1/4)
-3/7
Calculate 22/(-18) - 56/(-252).
-1
Evaluate 6 + -4 - (-78)/(-18).
-7/3
Evaluate ((-4)/(-12))/(2 - (-7)/(-3)).
-1
What is 330/(-605) - 16/11?
-2
What is the value of (-63)/(-14) + -2 + (-9)/2?
-2
Calculate 55/(-22) + (-1)/(8/(-28)).
1
What is the value of 3*15/((-270)/48)?
-8
Evaluate 15/9*(-432)/(-120).
6
Evaluate 1/1 - (-10 + 5) - 2.
4
((-20)/14)/((-72)/84)
5/3
Calculate ((-32)/120)/((-4)/(-6)).
-2/5
What is 6*1 + -7 + 3 + 1?
3
(-1)/(2/(-2)) - 1
0
What is (-66)/8 - 6/(-24) - -6?
-2
Evaluate ((-40)/(-176))/((-20)/(-16)).
2/11
What is 3/((-1)/((-6)/9) - 3)?
-2
Evaluate (-84)/(-28)*2/6.
1
What is 42/35 - (-4)/5?
2
What is -2*(7 + (-232)/32)?
1/2
(((-44)/(-8))/11)/(2/4)
1
What is ((-180)/(-8))/(-15) + -1?
-5/2
What is -4 + 1 - 6/(-9)*-3?
-5
Evaluate (36/(-20))/3 - 6/40.
-3/4
Calculate ((-21)/14)/((-36)/(-16)).
-2/3
138/(-22) + -8 + (18 - 4)
-3/11
(0 - 3/(-4))/((-54)/(-16))
2/9
Calculate (-70)/(-56)*44/55.
1
Calculate 144/528 + 28/(-22).
-1
Evaluate (-1)/(-6)*(-2 - 7).
-3/2
Evaluate (-19)/(-44) + 112/(-616).
1/4
Evaluate 9/180*2*6*1.
3/5
Evaluate 4/(-32)*-4*-1*-6.
3
Calculate 8 + (-9 + 12)*-4.
-4
Evaluate (-10)/(-55) + 8/(-22).
-2/11
What is 36/30*(-1 - (-2)/3)?
-2/5
What is the value of 90/25*4/(-6) - -2?
-2/5
Calculate -2 - 27/21 - (-8)/28.
-3
-4*5/(-4)*1/(-2)
-5/2
What is (-1 - (-40)/30)*6/14?
1/7
(2/5)/(-1) + (-99)/(-660)
-1/4
(2*(-2)/8)/(7/(-28))
2
(8 + -2 - 4) + -7
-5
What is (2 + -7)/1 - 3520/(-715)?
-1/13
Calculate ((-8)/(-7))/(-15 - 1284/(-84)).
4
Evaluate (7/((-49)/2))/(1/(-7)).
2
What is 2/17 + (15 + -15)/(-10)?
2/17
What is the value of (5/6)/((-4)/(-24))?
5
Evaluate 1/((-4)/16) - (-5 - -5).
-4
What is ((-1 + 3)*1)/(14/21)?
3
(-3)/2*(6 - (-154)/(-21))
2
((-1582)/(-147) - 11)*18/(-15)
2/7
What is the value of 21/(-6) + 2 - -1?
-1/2
What is ((-9)/6 - -2)/(-18 + 17)?
-1/2
What is the value of ((-3)/(-3))/(-6) + 4/(-8)?
-2/3
Calculate 0*(-2)/(-4) + 11/(-22).
-1/2
What is ((-51)/(-56) - 1) + (-153)/(-408)?
2/7
(-112)/21*-1 - 6
-2/3
What is the value of 4/34 + (-1160)/(-6902)?
2/7
(-49)/(-7) - (-15)/((-105)/28)
3
(0 - 1)/(3 - 5/2)
-2
What is (-704)/(-693) + 12/(-21)?
4/9
What is 81/(-9) + 67/7?
4/7
Calculate ((9/(-6))/(1/2))/3.
-1
Calculate (-3)/(27/(-2)) - 86/(-18).
5
Calculate ((-3)/4)/((-1197)/(-456)).
-2/7
Calculate -3 + (2 + -8)*(2 + -3).
3
Calculate (5/40)/((-3)/(-28)) + -1.
1/6
-2 + 6/(-5 - 26/(-4))
2
Evaluate (2/(-30))/(4/24).
-2/5
Evaluate ((-42)/35)/(-6*5/200).
8
Evaluate ((-1)/2 - 16/16)/(-15).
1/10
Evaluate ((-3)/2)/(5 - 9/2).
-3
What is the value of (28/49)/((-4 + 2)*1)?
-2/7
What is the value of ((-1)/7 + 0)*(17 - 15)?
-2/7
What is (-28)/21 + 16/(-24)?
-2
What is the value of (-54)/6 - (-84)/12?
-2
What is (0 - (-4)/(-8))*4?
-2
Evaluate (1/3)/((-10)/(-270)*9).
1
What is 0 - (4 - (7 + -8))?
-5
What is the value of -11 + 88/8 + 3?
3
What is the value of (0 + (-6)/(-6))*(-1 + -2)?
-3
-1 + (-2 - (-4)/(28/19))
-2/7
Calculate (-16)/(-2)*1/4.
2
Evaluate ((-78)/39)/(((-2)/(-4))/(-1)).
4
-4 - 7/((-98)/60)
2/7
What is 0*(80/105 - 30/70)?
0
Evaluate 27/(-63) - 4/(28/(-3)).
0
Calculate 10 - 18/297*162.
2/11
Evaluate 5*(-2 - -3)*(3 - 2).
5
Calculate -2 - (2/(-5))/(2/20).
2
What is the value of (-1)/(-1)*2/6?
1/3
What is the value of (4/30)/((-5)/15)?
-2/5
What is the value of (-38)/(-95)*(3/(-12) + -1)?
-1/2
What is the value of (-36)/(-10) + 0 + (-3)/5?
3
What is the value of 7/(-42)*-6*-1?
-1
What is the value of (9 + -4 + -2)*(-2)/3?
-2
What is the value of ((-7)/(-28)*-7)/((-2)/(-8))?
-7
Evaluate 5 + -2 + (-4 - 0 - -4).
3
What is the value of (-33)/(-15) - (-3)/15*-1?
2
What is 0 - 4/(-5) - (20 + -19)?
-1/5
Evaluate 180/(-60) - (5 + 0).
-8
What is the value of 8/(-3) - (-2)/(-3)*-6?
4/3
Calculate (-357)/(-28) + -12 - (-13)/(-12).
-1/3
Evaluate (2/2 - -4)/((-40)/10).
-5/4
(12/(-8))/((-40)/16)
3/5
Evaluate 6/(-12)*(-5 - -5).
0
What is -1 - (715/91 - 9)?
1/7
Calculate 1 - (-6 - (210/(-27) + 1)).
2/9
What is the value of (-2*(-3)/36)/((-1)/4)?
-2/3
Evaluate ((-4)/6 - -1)/(38/684).
6
12*7/(-112)*8
-6
Calculate 4/9 + (-96)/(-27).
4
What is the value of 6 + 6/51 + 1422/(-238)?
1/7
What is ((-2)/(-12))/(8/(-16))?
-1/3
(8 - 11) + (-1 - -1)/(-3)
-3
((-24)/(-42))/(2/14)
4
What is (2/(-3))/(20/(-6))?
1/5
Calculate (5/12)/(20/12).
1/4
Evaluate (-14)/56*(7 - 1).
-3/2
Calculate 5 + 56/24 - (-2)/3.
8
Evaluate -6*(85/(-30) - -3)*2.
-2
What is ((70/7)/(-30))/((-5)/120)?
8
What is 12/27 - 14/(-63)?
2/3
(4 - 2)/(1 - 28/20)
-5
Evaluate -4*2/(-144)*(10 + -13).
-1/6
Calculate ((-44)/11)/(52/117).
-9
What is 4/(-2)*((-70)/(-65) - 1)?
-2/13
Evaluate 1*(0 + 3*(-10)/(-15)).
2
What is -4*(-6)/(-12)*6/(-4)?
3
Evaluate 1*5/(-30)*3/(-2).
1/4
What is 2/10*(-38 + 36)?
-2/5
What is the value of 2/9*((-15 - -15) + -3)?
-2/3
What is (4/(-10))/((-143)/55)?
2/13
What is -3 - (-2 - (4 + 1))?
4
5/5*2*(-15)/(-270)
1/9
What is the value of -2 + (-10)/(-3) - (-5)/(-15)?
1
What is 21/(-33) - -1 - 372/176?
-7/4
What is the value of 5/6*18/(-60)?
-1/4
Calculate ((-20)/(-25))/(-2 - (-12)/5).
2
Calculate (-16)/(-12) + (-7)/3.
-1
What is 8/60 - 64/30?
-2
((-455)/(-63) - 1) + -6
2/9
What is ((-75)/(-10))/5 + (-3)/6?
1
What is (-15)/(-21)*(-3 + 17/5)?
2/7
Evaluate (-245)/(-77) - 42/14.
2/11
290/(-3625)*5/3
-2/15
What is (-3)/2*-6 - 5?
4
Calculate 0/6 + -1 + 0.
-1
(-1)/6 - 1/(-30)
-2/15
Calculate (-4)/(-20) + 0 + (-11)/5.
-2
What is the value of 3/((-3)/(0 - -3))?
-3
What is the value of 8/16*(1 + -2 + 1)?
0
Calculate 15 + -9*48/36.
3
1/(22/60 - 10/(-75))
2
What is the value of 10 + | {
"pile_set_name": "DM Mathematics"
} |
Suppose -2*y - g = -5*y. Calculate the highest common factor of y and 8.
8
Suppose 2*t = -4 + 16. Let r be (4/t)/((-6)/(-117)). Calculate the greatest common factor of r and 13.
13
Suppose -3*y = 2*y - 25. Let k(m) = 4*m - 4. Let j(q) = 3*q - 4. Let s(l) = -5*j(l) + 4*k(l). Let c be s(y). Calculate the highest common factor of 9 and c.
9
Let z = 37 - 32. What is the highest common factor of 50 and z?
5
Suppose 0*s + 4*s = 284. Suppose -l = -0*l + 5, -3*l = -4*j + s. Calculate the highest common divisor of j and 42.
14
Let c(d) = 28*d + 2*d - 9*d + 23*d. Let x be c(1). What is the highest common divisor of x and 4?
4
Suppose 2*u - f + 2*f = 160, -2*f - 160 = -2*u. What is the greatest common divisor of 10 and u?
10
Let c be 4 - (-2 - -4)*1. Calculate the greatest common divisor of c and 4.
2
Suppose 4*v - 20 = -v. Suppose w = -v*w + 150. What is the greatest common factor of w and 12?
6
Let f(a) = -77*a - 1. Let t be f(-2). Suppose -3*s - 57 = -t. What is the highest common factor of 8 and s?
8
Let t be -5*12/(-10) + 3. Calculate the greatest common divisor of 54 and t.
9
Suppose -2*l - 5*w + 3 = 0, -3*l = -4*l - 5*w - 1. Let n be 2/8 - (-74)/(-8). Let q be ((-48)/n)/((-1)/(-3)). What is the highest common divisor of q and l?
4
Let d(v) = v + 63. Let x be d(-34). What is the greatest common divisor of x and 29?
29
Let b(p) = p + 18. Let x be b(12). What is the highest common divisor of x and 30?
30
Let p(d) = -d**3 - 4*d**2 + 2*d - 1. Let w be p(-5). Let y = w - 11. Let f be (1/2)/((-3)/(-18)). What is the highest common divisor of f and y?
3
Let j be (-1)/(-1*-4*(-3)/252). What is the highest common factor of j and 84?
21
Let v be 2/(-6) + 80/15. Suppose -v*l = -l - 104. Calculate the greatest common divisor of 13 and l.
13
Let z(d) = d**2 + 2*d - 1. Let t(q) = -3*q + 3. Let m be t(2). Let u be z(m). Let l = 177 - 155. Calculate the highest common factor of l and u.
2
Let a be 3 + (-4 - -3) - -2. What is the highest common divisor of 44 and a?
4
Suppose -2 - 8 = -2*u. Suppose -u*r = -26 - 254. What is the highest common factor of 7 and r?
7
Suppose 3*r = -r + 5*m + 12, 5*m - 4 = 2*r. Let w = -32 - -96. What is the highest common factor of r and w?
8
Suppose 24 = o + o. What is the greatest common divisor of o and 2?
2
Let j(b) = -2*b + 2 + 0 + b**2 + 8*b. Let r be j(-6). What is the highest common divisor of 8 and r?
2
Suppose 9*i - 90 = 4*i. Calculate the greatest common divisor of 27 and i.
9
Let d = 118 - -534. Suppose -3*a - 2*f = -d, -892 = -4*a + 7*f - 4*f. Calculate the greatest common divisor of 20 and a.
20
Let h be 6 - (2 - (-4 + 3)). Let c be 60/h*(-3)/(-6). Calculate the highest common divisor of 15 and c.
5
Suppose 3 = 4*p - 17, -4*p = -5*l + 20. Suppose 80 = 4*t - 0*t. What is the highest common divisor of t and l?
4
Suppose 4*d - 8 - 4 = 0. Let p = 1 + d. What is the greatest common factor of 12 and p?
4
Suppose 0 = r - 5, 3*a - 3*r - 1 = 2. What is the highest common factor of a and 2?
2
Let c = 47 - 39. Calculate the greatest common factor of c and 10.
2
Let w(t) = -t**2 + 12*t - 9. Let i be -4*-1*(-31)/(-4). Suppose -3*v - 4 + i = 0. Let d be w(v). Calculate the highest common divisor of 2 and d.
2
Suppose t + t - 110 = 0. Let k = t - 39. What is the greatest common divisor of 176 and k?
16
Let l be (128/48)/(2/39). Let o(h) = -2*h**2 + 2*h - 2. Let f be o(2). Let b be l/2*(-3)/f. What is the greatest common factor of 104 and b?
13
Let m(l) = 5*l - 2. Let h be m(5). Let y = h + -11. Calculate the highest common divisor of y and 30.
6
Let m be (-93)/(-15) + 2/(-10). Suppose -g + m = 2. Let r = -3 - -4. What is the highest common divisor of r and g?
1
Suppose 2*a = 9 + 7. Let j = 151 - 79. What is the greatest common factor of a and j?
8
Suppose -17*o - 157 = -616. What is the greatest common factor of 108 and o?
27
Let s be (-22)/(-6) + 1/3. Let u(x) = x**2 + 2*x - 6. Let f be u(s). Let j = 40 - f. Calculate the highest common divisor of 198 and j.
22
Let p be (-1)/(-4) + (-99)/(-4). Calculate the greatest common divisor of 5 and p.
5
Let b = 48 - 12. Suppose -5*u + u = -b. Suppose 2*x - 49 = 5*k, -3*x + 79 = -0*x - 2*k. Calculate the highest common divisor of x and u.
9
Let w = 0 - -2. Suppose 3*h - 2*h - f - 1 = 0, -w*h = 4*f - 8. Calculate the highest common divisor of h and 2.
2
Suppose 2*l = 5*l + 3. Let a be (l/(-2))/(3/60). Calculate the highest common divisor of a and 20.
10
Let d = 0 + -2. Let o be (-1)/2 - 37/d. What is the highest common factor of o and 27?
9
Let u = 37 - 25. What is the highest common factor of u and 36?
12
Let v(s) = 5*s**2 - 1. Let d be v(1). What is the highest common factor of d and 20?
4
Suppose 0 = 2*n + 2*a + 2, 0 = 6*n - 3*n + 2*a - 2. Let l be n/(-10) - 72/(-5). Calculate the greatest common divisor of 154 and l.
14
Let o = 16 - 12. Let u be (-1)/4 - (-41)/o. What is the greatest common factor of u and 2?
2
Suppose 0 = j - 7 - 7. Let d be (77/j)/((-1)/(-6)). Calculate the greatest common factor of 3 and d.
3
Suppose 5*r + 69 = 3*g, g - 25 = -r + 2*r. Calculate the highest common factor of g and 112.
28
Let k be 3/3*(-144)/(-1). Suppose -4*a + 12 = 2*g - 28, -4*a + 88 = 5*g. Calculate the highest common factor of g and k.
16
Suppose -2*d - 3*d + 10 = 0. Suppose -l + 2*z + d + 2 = 0, z + 5 = 2*l. Calculate the highest common factor of 2 and l.
2
Let p be 4/(-14) + (-230)/(-70). Calculate the highest common divisor of p and 24.
3
Suppose 3*i = -2*h + 59, h - 55 = -3*i - 0*i. Suppose -16 = -5*l - 1. Suppose -i + 2 = -l*k. Calculate the greatest common divisor of k and 2.
1
Let o be (-5 - 1)*1*16/(-3). Calculate the highest common divisor of 32 and o.
32
Suppose 5*t + 60 = 8*t. What is the greatest common factor of t and 4?
4
Let i(o) = 13*o + 4 - 2 + 2 - 3. Let t be i(3). Calculate the greatest common factor of t and 20.
20
Let g be (10 - 2/1)/1. Suppose t = 3, -5*t + t + 362 = 5*d. Suppose 3*i = d + 122. What is the highest common factor of i and g?
8
Let z(c) = c**2 - c + 18. Let b be z(0). Let r(t) = -t**2 + 17*t - 21. Let y be r(6). What is the highest common divisor of b and y?
9
Suppose 2*d + 246 - 26 = m, 0 = -5*m + d + 1082. Let r = -56 - -80. What is the greatest common divisor of m and r?
24
Let w = -65 - -165. Calculate the highest common divisor of 10 and w.
10
Let n be (-2)/9 + (-778)/(-18). Suppose 35 + n = 2*o. Calculate the highest common divisor of o and 26.
13
Let x(r) = -3 - 9 + 1 + 4*r + 0. Let u be x(5). Calculate the greatest common factor of u and 36.
9
Suppose -n = 2*n - 168. What is the highest common factor of n and 7?
7
Let r be ((-2)/(-4))/(1/10). Let k(i) = i**3 - 5*i**2 + 3*i. Let m be k(4). Let d be 3/6 - 18/m. Calculate the highest common divisor of d and r.
5
Suppose 0 = -l - 3*v - 11, 0*v - v = 4. Let o be (-6)/1*l/(-2). Suppose -o*r = -0*r - 45. What is the greatest common factor of 15 and r?
15
Suppose -3*n = -5*b + 2*n + 50, -b + 3*n = -20. Let p = 0 + b. Suppose 1 = a, -5*x + p*a + 76 = a. What is the greatest common divisor of 8 and x?
8
Suppose -4*m + 134 = 30. Calculate the highest common divisor of 65 and m.
13
Let x(k) = -k - 8. Let o be (0 + 6/3)*-5. Let y be x(o). Suppose -4*q + 22 = 3*h - y*q, 5*h - 15 = q. Calculate the highest common factor of h and 16.
4
Let p(m) = m + 4. Let g be p(-7). Let d be ((-11)/g)/((-1)/(-18)). Suppose 0 = -4*b - 0*b + 24. Calculate the highest common factor of d and b.
6
Let b = 231 + -114. Calculate the highest common divisor of b and 13.
13
Suppose 5*i - 2*t = 25, 0 = 3*i + t - 15. Let g be (-9)/(i/((-80)/3)). What is the greatest common factor of g and 32?
16
Let o be ((-6)/4)/(7/(-504)). Calculate the highest common divisor of o and 24.
12
Suppose -4*l - i + 8 = -l, 3*l - 4*i + 2 = 0. Calculate the greatest common factor of l and 14.
2
Let a = 7 - 2. Let r be ((-8)/10)/(10/(-25)). What is the greatest common factor of r and a?
1
Let p = 83 + -55. Let c be 0 + -1 + p + 0. Calculate the greatest common factor of 18 and c.
9
Let c(i) = -i**3 - 7*i**2 - 2*i - 9. Let z be c(-7). What is the highest common factor of 45 and z?
5
Let s(z) = z**3 + 9*z**2 + 8*z + 7. Let u be s(-8). What is the greatest common divisor of 28 and u?
7
Let d(g) = g**2 + 5*g + 1. Let l be d(-9). Suppose 2*r + 5*v - l = 0, 3*r + 4*v + 14 - | {
"pile_set_name": "DM Mathematics"
} |
1, 1519, 2275, 3029?
-i**2 + 761*i + 1
What is the l'th term of 32923, 32924, 32925, 32926, 32927, 32928?
l + 32922
What is the r'th term of -25, -78, -167, -292, -453, -650?
-18*r**2 + r - 8
What is the g'th term of -48, -177, -386, -669, -1020, -1433, -1902, -2421?
g**3 - 46*g**2 + 2*g - 5
What is the w'th term of 1599, 3198, 4801, 6408, 8019, 9634, 11253?
2*w**2 + 1593*w + 4
What is the g'th term of -319, -1347, -3061, -5461, -8547?
-343*g**2 + g + 23
What is the y'th term of -27, -56, -85?
-29*y + 2
What is the k'th term of 5097, 10181, 15253, 20307, 25337, 30337, 35301?
-k**3 + 5091*k + 7
What is the l'th term of 95, 91, 83, 71, 55, 35, 11?
-2*l**2 + 2*l + 95
What is the p'th term of -64, -227, -506, -907, -1436, -2099?
-p**3 - 52*p**2 - 11
What is the s'th term of -923, -1845, -2767, -3689, -4611?
-922*s - 1
What is the j'th term of -109, -117, -129, -145?
-2*j**2 - 2*j - 105
What is the a'th term of -630, -631, -634, -639, -646?
-a**2 + 2*a - 631
What is the i'th term of -2094, -4190, -6284, -8376?
i**2 - 2099*i + 4
What is the n'th term of 147, 291, 441, 603, 783, 987, 1221?
n**3 - 3*n**2 + 146*n + 3
What is the d'th term of -10, -9, -8, -7, -6, -5?
d - 11
What is the f'th term of 162, 151, 126, 81, 10, -93, -234?
-f**3 - f**2 - f + 165
What is the a'th term of -160, -319, -478, -637, -796, -955?
-159*a - 1
What is the y'th term of -303, -583, -863, -1143, -1423, -1703?
-280*y - 23
What is the q'th term of 24, 134, 324, 600, 968, 1434, 2004?
q**3 + 34*q**2 + q - 12
What is the i'th term of 15, 12, 13, 18, 27?
2*i**2 - 9*i + 22
What is the c'th term of 1631, 3263, 4895?
1632*c - 1
What is the y'th term of 102, 45, -66, -243, -498, -843, -1290?
-2*y**3 - 15*y**2 + 2*y + 117
What is the a'th term of 14, -12, -56, -118, -198, -296, -412?
-9*a**2 + a + 22
What is the f'th term of 0, -10, -42, -108, -220?
-2*f**3 + f**2 + f
What is the j'th term of 247, 1011, 2285, 4069, 6363, 9167?
255*j**2 - j - 7
What is the d'th term of -21, -19, -17, -15, -13, -11?
2*d - 23
What is the p'th term of 18, 2, -24, -60, -106, -162?
-5*p**2 - p + 24
What is the n'th term of 18, 31, 50, 81, 130?
n**3 - 3*n**2 + 15*n + 5
What is the n'th term of -15, 18, 67, 138, 237, 370, 543?
n**3 + 2*n**2 + 20*n - 38
What is the p'th term of -58, -83, -136, -229, -374, -583?
-2*p**3 - 2*p**2 - 5*p - 49
What is the d'th term of 234, 225, 216, 207?
-9*d + 243
What is the w'th term of 3, -1, -11, -33, -73, -137, -231?
-w**3 + 3*w**2 - 6*w + 7
What is the h'th term of 28, 49, 58, 49, 16, -47?
-h**3 + 28*h + 1
What is the s'th term of -153, -165, -187, -225, -285, -373?
-s**3 + s**2 - 8*s - 145
What is the j'th term of -94, -222, -360, -508?
-5*j**2 - 113*j + 24
What is the r'th term of 24, 20, 16, 12, 8?
-4*r + 28
What is the m'th term of 788, 1557, 2314, 3053, 3768, 4453?
-m**3 + 776*m + 13
What is the z'th term of -31, -44, -57, -70?
-13*z - 18
What is the y'th term of -389, -384, -379, -374, -369?
5*y - 394
What is the f'th term of 36, 165, 384, 693, 1092, 1581?
45*f**2 - 6*f - 3
What is the p'th term of 53, 41, 13, -37, -115, -227?
-p**3 - 2*p**2 + p + 55
What is the s'th term of -88, -80, -70, -58?
s**2 + 5*s - 94
What is the a'th term of 35, 164, 395, 734, 1187, 1760, 2459, 3290?
a**3 + 45*a**2 - 13*a + 2
What is the f'th term of 1943, 1942, 1949, 1970, 2011, 2078, 2177, 2314?
f**3 - 2*f**2 - 2*f + 1946
What is the m'th term of -79, -75, -71, -67, -63, -59?
4*m - 83
What is the v'th term of -683, -675, -653, -611, -543, -443?
v**3 + v**2 - 2*v - 683
What is the v'th term of 145, 135, 127, 121, 117, 115, 115?
v**2 - 13*v + 157
What is the q'th term of 1, 9, 29, 67, 129, 221, 349?
q**3 + q - 1
What is the x'th term of 23, 45, 65, 83, 99?
-x**2 + 25*x - 1
What is the f'th term of 101, 152, 205, 260, 317, 376?
f**2 + 48*f + 52
What is the x'th term of -706, -701, -696?
5*x - 711
What is the p'th term of -24, -34, -52, -78, -112, -154, -204?
-4*p**2 + 2*p - 22
What is the i'th term of 444, 456, 468?
12*i + 432
What is the m'th term of -12548, -25093, -37626, -50141, -62632, -75093, -87518?
m**3 - 12552*m + 3
What is the m'th term of 1941, 1947, 1955, 1965, 1977, 1991, 2007?
m**2 + 3*m + 1937
What is the y'th term of 602, 613, 638, 683, 754?
y**3 + y**2 + y + 599
What is the l'th term of -80, -322, -724, -1286?
-80*l**2 - 2*l + 2
What is the s'th term of 4, -59, -184, -377, -644, -991, -1424?
-s**3 - 25*s**2 + 19*s + 11
What is the y'th term of -5547, -5544, -5539, -5532?
y**2 - 5548
What is the b'th term of -477, -480, -483?
-3*b - 474
What is the t'th term of -203, -407, -611, -815, -1019?
-204*t + 1
What is the l'th term of 254, 230, 206, 182, 158, 134?
-24*l + 278
What is the q'th term of 4, -63, -138, -227, -336, -471?
-q**3 + 2*q**2 - 66*q + 69
What is the h'th term of 688, 690, 692, 694, 696?
2*h + 686
What is the n'th term of -228, -220, -204, -174, -124, -48, 60, 206?
n**3 - 2*n**2 + 7*n - 234
What is the k'th term of -399, -799, -1199, -1599, -1999, -2399?
-400*k + 1
What is the f'th term of 583, 1173, 1773, 2389, 3027?
f**3 - f**2 + 586*f - 3
What is the y'th term of 626, 1256, 1886?
630*y - 4
What is the t'th term of -409, -371, -331, -289, -245, -199, -151?
t**2 + 35*t - 445
What is the q'th term of 1, 24, 23, -14, -99, -244, -461, -762?
-2*q**3 + 37*q - 34
What is the v'th term of 836, 829, 812, 779, 724?
-v**3 + v**2 - 3*v + 839
What is the t'th term of 139, 281, 427, 577, 731, 889, 1051?
2*t**2 + 136*t + 1
What is the y'th term of -389, -398, -421, -464, -533, -634?
-y**3 - y**2 + y - 388
What is the v'th term of 1161, 1154, 1145, 1134?
-v**2 - 4*v + 1166
What is the t'th term of -827, -825, -821, -815, -807, -797?
t**2 - t - 827
What is the u'th term of -13, -36, -67, -106, -153, -208?
-4*u**2 - 11*u + 2
What is the s'th term of -51, -166, -341, -570, -847?
s**3 - 36*s**2 - 14*s - 2
What is the v'th term of 20, 56, 138, 290, 536, 900?
4*v**3 - v**2 + 11*v + 6
What is the i'th term of -48, -51, -42, -15, 36, 117, 234, 393?
i**3 - 10*i - 39
What is the n'th term of 5, 20, 61, 140, 269, 460, 725?
2*n**3 + n**2 - 2*n + 4
What is the u'th term of -122, -119, -112, -101, -86, -67?
2*u**2 - 3*u - 121
What is the z'th term of -6086, -6085, -6084, -6083, -6082?
z - 6087
What is the d'th term of 24, 122, 290, 528?
35*d**2 - 7*d - 4
What is the m'th term of 84, 167, 250?
83*m + 1
What is the k'th term of -1227, -1225, -1223?
2*k - 1229
What is the i'th term of 149, 305, 467, 635, 809, 989, 1175?
3*i**2 + 147*i - 1
What is the l'th term of -255, -259, -263, -267, -271?
-4*l - 251
What is the g'th term of -1667, -1659, -1633, -1583, -1503, -1387?
g**3 + 3*g**2 - 8*g - 1663
What is the m'th term of -1640, -1640, -1638, -1634, -1628, -1620?
m**2 - 3*m - 1638
What is the x'th term of 11, 38, 103, 224, 419, 706, 1103?
3*x**3 + x**2 + 3*x + 4
What is the h'th term of -28, -84, -168, -274, -396, -528?
h**3 - 20*h**2 - 3*h - 6
What is the i'th term of 22, 104, 248, 460, 746, 1112, 1564?
i**3 + 25*i**2 - 4
What is the b'th term of 4036, 8074, 12112, 16150?
4038*b - 2
What is the u'th term of 111, 203, 305, 423, 563, 731?
u**3 - u**2 + 88*u + 23
What is the l'th term of -32, -60, -96, -146, -216, -312, -440, -606?
-l**3 + 2*l**2 - 27*l - 6
What is the b'th term of 275, 273, 271, 269, 267, 265?
-2*b + 277
What is the v'th term of 18, 22, 26?
4*v + 14
What is the q'th term of 515, 461, 393, 305, 191?
-q**3 - q**2 - 44*q + 561
What is the c'th term of 206, 210, 216, 224?
c**2 + c + 204
What is the o'th term of -3477, -6954, -10431, -13908?
-3477*o
What is the p'th term of 26, 4, -28, -70, -122, -184, -256?
-5*p**2 - 7*p + 38
What is the d'th term of -81, -296, -653, -1152, -1793, -2576, -3501?
-71*d**2 - 2*d - 8
What is the o'th term of 2782, 2785, 2790, 2797?
o**2 + 2781
What is the q'th term of -18, -37, -58, -81, -106?
-q**2 - 16*q - 1
What is the i'th term of 281, 297, 329, 383, 465, 581, 737, 939?
i**3 + 2*i**2 + 3*i + 275
What is the i'th term of -1381, -1384, -1385, -1384, -1381?
i**2 - 6*i - 1376
What is the w'th term of -55, -32, -11, 8?
-w**2 + 26*w - 80
What is the i'th term of 31, 60, 101, 160, 243, 356?
i**3 + 22*i + 8
What is the p'th term of -18, -50, -114, -216, -362, -558?
-p**3 - 10*p**2 + 5*p - 12
What is the v'th term of -128, -503, -1126, -1997, -3116, -4483, - | {
"pile_set_name": "DM Mathematics"
} |
6).
6
2/27*-3*5/(-10)
1/9
Evaluate -4*7/(-21)*(-10)/8.
-5/3
What is (42/168)/(10/(-32))?
-4/5
What is (2/(-3))/(5/(-150)*-5)?
-4
(2/(-2))/(25/10)
-2/5
What is ((-4)/(-6))/(39/(-234))?
-4
Evaluate ((-2)/9)/(12/(-27)).
1/2
(4/65)/(10/25)
2/13
What is the value of 12/(-42)*-35*2/10?
2
What is the value of (-6)/(-12)*(40/(-25))/(-4)?
1/5
Evaluate ((-2)/(-5))/(2/10).
2
Calculate 5*(-22)/165*-3.
2
Evaluate ((-4)/6)/((-24)/(-54)).
-3/2
What is -3*((-9)/9)/(3/(-8))?
-8
What is (-2)/8*-2*352/(-22)?
-8
What is 27/24*1*(-32)/(-6)?
6
Calculate 195/78*(-1)/(-20).
1/8
Evaluate (2/(-4))/(2/40*2).
-5
1*-10*6/12
-5
What is ((-32)/(-112))/(15/7)?
2/15
Evaluate ((-6)/(-7))/3*(-77)/99.
-2/9
(2*(-4)/(-4))/(14/(-3))
-3/7
What is 0*-3*((-24)/(-6))/(-24)?
0
Evaluate ((-21)/(-56))/(6/144).
9
Evaluate (-10)/(1620/6)*2.
-2/27
(14/(-182))/((-3)/6)
2/13
What is the value of 7/42*-2*-12?
4
(-1)/((-6)/(-30)*5/(-2))
2
(-3*6/(-36))/(1/(-10))
-5
(-6)/15*(-75)/6
5
Evaluate 3*(8/6)/4.
1
What is (4/6)/(10/(-60))*1?
-4
Evaluate ((-45)/(-10))/((-9)/12).
-6
Calculate (-8)/12*1*(-15)/40.
1/4
What is (19/(-95))/((-1)/1)?
1/5
((-18)/(-4))/3*(-36)/81
-2/3
Evaluate 6/((891/990)/(6/(-10))).
-4
-4*((-15)/(-3))/10*-2
4
(18/(-27))/(2/3)
-1
Evaluate 1/(-2)*(-1)/((-2)/(-12)).
3
What is (-5)/10*(-2)/(-5)*-3?
3/5
What is (-1)/2*168/1134?
-2/27
Calculate -1*1*(-25)/(300/(-24)).
-2
8/42*(-1)/(-12)*-14
-2/9
Calculate ((-2)/(-6))/((-50)/(-150))*-6.
-6
Calculate (-6)/((6/2)/((-81)/54)).
3
Evaluate 1/((1/5)/((-24)/60)).
-2
-5*11/(-55)*(-1)/4
-1/4
Calculate (7*(-2)/(-28))/(-1).
-1/2
What is 4/(-10)*(-30)/12?
1
(-15)/(-6)*5/((-50)/12)
-3
Evaluate 1/(-5)*(-6)/(-15)*-5.
2/5
What is the value of ((-3)/4*2)/((-2)/(-4))?
-3
((-2)/3)/((-50)/(-45))
-3/5
What is the value of ((-88)/484)/((-7)/22)?
4/7
What is the value of (4/7)/((-18)/14)?
-4/9
Evaluate -3*(288/135)/16.
-2/5
Evaluate (6/8)/(414/(-92))*1.
-1/6
((-2)/42)/(6/48*-4)
2/21
What is the value of (-10)/(-3)*(12/8)/1?
5
Evaluate ((-4)/(-110))/((40/(-25))/(-8)).
2/11
Evaluate -3*42/(-72)*-2*2.
-7
Evaluate 8/(-6)*(-4)/2*3.
8
What is 3/(((-12)/(-16))/(10/(-8)))?
-5
-3*(-5)/((-525)/5)*3
-3/7
What is the value of (66/(-12))/11*-4?
2
What is (1/1)/((-2)/(16/(-20)))?
2/5
((-56)/84)/((4/42)/1)
-7
What is the value of 7/56*30/3*-4?
-5
Calculate 16/4*(-3)/(72/42).
-7
What is the value of (-3)/66*4*-1?
2/11
What is (65/(-5))/195*-6?
2/5
What is ((-4)/2)/(((-180)/9)/10)?
1
Calculate 3/((-1)/((-7)/(-21)*-3)).
3
What is (40/70)/((-6)/21)?
-2
What is (-4*(-1)/(-6))/(-3*2)?
1/9
Calculate (((-48)/9)/(-8))/(-2).
-1/3
Calculate (9/(-9))/((-7)/(-1)).
-1/7
((-51)/(-714))/((-2)/(-28))
1
Calculate 0/(2/1)*9/(-18).
0
What is (25/5)/(1/((-30)/25))?
-6
Calculate (1/(-2))/(2/28*7).
-1
What is the value of (-3*(-4)/24)/((-8)/(-80))?
5
What is the value of 8/(8/(-2))*10/5?
-4
23/276*84/7
1
What is ((-21)/(-4))/(2*27/72)?
7
4*((-10)/(-75))/(24/30)
2/3
Calculate 0/(3/(4*(-6)/(-8))).
0
((-118)/(-885))/((-2)/3)
-1/5
What is the value of 5/(3*-10)*99/44?
-3/8
Evaluate (-12)/20*-2*(-10)/(-18).
2/3
Calculate 93/(-62)*(-20)/6.
5
What is (1/6)/((32/(-2))/(-240))?
5/2
Calculate ((-12)/(-4))/((-114)/76).
-2
What is the value of 19/76*8/2?
1
Calculate 2*((-2)/(-10))/(-1).
-2/5
Calculate (11/11)/((-5)/35).
-7
Evaluate (12/(-105))/(-8*(-7)/140).
-2/7
((-27)/(-18))/((-1)/(-2))
3
What is the value of -1*2/(2/(-3))?
3
(-1)/((-16)/(-40)*(-20)/(-48))
-6
What is (87/116)/(((-2)/(-8))/1)?
3
What is the value of ((-24)/78)/((-14)/91)?
2
((-111)/(-148))/(4/(336/9))
7
Evaluate 45/(-2)*(-4)/18.
5
((-28)/(-28))/(3/(-1))
-1/3
(0/13)/(2/2*-2)
0
Evaluate ((-4)/(64/12))/(1/4).
-3
What is (((-12)/(-48))/((-1)/(-4)))/1?
1
Evaluate 7/(70/5)*8.
4
What is the value of (2/1*3)/15?
2/5
Evaluate (4/64*8)/((-3)/2).
-1/3
What is the value of 2/((-16)/24*6/10)?
-5
Evaluate (72/252)/((-3)/7).
-2/3
What is 6/(-15)*25/65?
-2/13
(1/((-450)/(-40)))/(4/10)
2/9
Evaluate ((-2)/(-40)*8)/(6/5).
1/3
Evaluate ((-27)/54)/((-1)/10).
5
What is 4/(-18)*12/8?
-1/3
Evaluate 0*(-10)/((-200)/10).
0
What is the value of (-3)/6*(360/(-32))/(-15)?
-3/8
What is the value of (10/14)/((-30)/(-210))?
5
(-4)/3*-2*30/200
2/5
Evaluate ((-5)/35)/(4/14).
-1/2
(5/10)/(9/90)
5
(3/(-10))/(2/4)
-3/5
What is 2/4*72/(-9)?
-4
What is (((-14)/(-7))/2)/(2/(-10))?
-5
What is (3/(-3))/(5*(-15)/(-25))?
-1/3
What is (2/(-30))/(22/(-55))?
1/6
What is ((-10)/50)/(1/(-25))?
5
(-8*(-1)/(-1))/((-36)/(-36))
-8
Calculate 13/(-13)*(-3)/1.
3
What is the value of (9/(-114))/((6/(-8))/(-1))?
-2/19
What is 350/(-140)*16/(-50)*1?
4/5
What is the value of 20/(-6)*(-9)/(-6)?
-5
What is the value of (-10)/3*3/2?
-5
3/2*4/33*-1
-2/11
(0/(-6))/((-4)/(-2))
0
What is the value of (-2)/(-70)*2*5/4?
1/14
(-4)/(-18)*93/(-31)
-2/3
What is (-9)/(99/44)*-1?
4
5/((-70)/(-6))*(-2)/(-3)
2/7
Calculate 6/(-5)*(-115)/322.
3/7
(-133)/266*3/((-114)/8)
2/19
What is the value of 9/3*6/9?
2
What is (-7)/(-14)*-2*2/10?
-1/5
What is (-2*(-3)/(-252))/(1/(-4))?
2/21
Calculate (-3)/(-2)*(-4)/18.
-1/3
Evaluate (-3)/15*(-3)/3.
1/5
7*3/(-63)*-3
1
What is the value of ((-6)/21)/((-24)/63)?
3/4
(20/105*-3)/((-3)/(-21))
-4
What is the value of 9/(-4)*(-2)/(-9)?
-1/2
Evaluate 135/(-15)*6/(-81).
2/3
4/(-6)*1*(-78)/(-52)
-1
Calculate (-5)/(70/(-4))*(-417)/139.
-6/7
What is the value of (-8)/10*(12/4)/(-12)?
1/5
What is the value of (-1)/(-14)*13/52*-16?
-2/7
What is the value of 4/104*-9*12/(-27)?
2/13
8*((-9)/6)/(-3)
4
(-2)/(-3)*(-9)/6*1
-1
-2*((-110)/(-4))/(-11)
5
Evaluate -10*1/(-35)*1.
2/7
((-5)/(-30))/((-6)/(-9))
1/4
Evaluate ((-2)/(-6))/((-12)/(-90)*-3).
-5/6
Evaluate 10/(-2*(-2)/(-2)).
-5
What is ((-15)/(-450))/(2*3/(-24))?
-2/15
Calculate ((-156)/52)/(2*(-1)/(-2)).
-3
Evaluate ((-15)/(-90))/(1/(-4)).
-2/3
(-464)/(-145)*(-5)/(-4)
4
What is the value of (-1)/(-13)*(-8)/4?
-2/13
Evaluate 1/((-6)/4*38)*6.
-2/19
477/318*1/(-9)
-1/6
What is (10/(-6))/(((-80)/10)/(-24))?
-5
Calculate ((-5)/5)/(2/10).
-5
What is the value of -1*1*(-12)/4?
3
Evaluate 4/6*(12/(-1))/(-4).
2
(1/(-2))/(-1)*(-2)/(-1)
1
What is ((-4)/16)/((-4)/(-16))*4?
-4
Calculate (-4)/6*-16*6/(-16).
-4
((-15)/20)/((-6)/4*1)
1/2
Evaluate ((-9)/4554*-4)/(1/11).
2/23
Evaluate (228/(-190))/((-3)/15).
6
What is (-2)/(2/5*(-15)/(-12))?
-4
Evaluate 54/(-18)*3/9.
-1
What is the value of (-33)/(-44)*56/6?
7
What is the value of 4/(-10)*2*-1*5?
4
Calculate ((-1)/2*16/26)/2.
-2/13
Evaluate 28/10*(-25)/(-10).
7
What is the value of (12/18*3)/3?
2/3
What is the value of 18*(5/(-45))/((-16)/72)?
9
Calculate (1/3)/(1/(-18)).
-6
Evaluate (1*3)/((-3)/3).
-3
((-4)/(-1))/((-9)/3)
-4/3
What is the value of 21/56*4*-4?
-6
What is the value of (-1*(-1)/7)/(66/462)?
1
Evaluate (-2)/(-10)*(-675)/(-1215).
1/9
What is ((-3)/(-6))/(53/424)?
4
What is the value of 4/24*9*(-1)/(-3)?
1/2
What is 6/6*(-1)/1?
-1
What is the value of (-11)/(330/(-5))*3/(-4)?
-1/8
Calculate 6/(54/10*(-20)/(-24)).
4/3
What is (-2)/(12/6)*(-2)/14?
1/7
Evaluate ((-60)/130)/((-24)/208).
4
Calculate ((6/(-6))/(-6))/((-6)/(-27)).
3/4
Calculate ((-82)/(-984))/(2/8).
1/3
Calculate ((-3)/(-1))/((-9)/(-12)).
4
Evaluate ((-6)/54)/((-5)/5).
1/9
What is the value of (-24)/48*2/5?
-1/5
What is ((-7)/(-3))/(4*(-70)/(-240))?
2
Calculate (-2)/((-12)/14)*(-106)/371.
-2/3
What is ((-24)/(-20))/(1/10*-3)?
-4
What is the value of ((-7)/5)/(498/830)?
-7/3
What is the value of ((-28)/(-21))/((-38)/(-3))?
2/19
What is the value of 1/((-8)/(64/(-24)))?
1/3
Calculate (-2)/12*10/5.
-1/3
What is the value of 105/(-42)*((-6)/5)/(-3)?
-1
What is 3/(-12)*((-70)/(-7))/(-5)?
1/2
What is (-2)/(-1)*((-117)/(-54))/13?
1/3
Evaluate ((-4)/(-6))/((-37)/(370/40)).
-1/6
Evaluate 2/(-3)*2/8.
-1/6
(-6)/(-2)*2/8*-4
-3
Calculate (2/10)/(1/(9/9)).
1/5
What is (-1)/(-6)*-3*2?
-1
What is (-3*16/180)/((-6)/(-9))?
-2/5
((-3)/(-12))/(44/32*-1)
-2/11
Evaluate ((253/66)/(-23))/(2/8).
-2/3
Evaluate (((-315)/(-20))/(-21))/3.
-1/4
What is the value of (576/(-480))/(2/5)?
-3
8/(-26)*1/(-2)
2/13
2*2*34/680
1/5
What is the value of (-2*(-2)/(-8))/(-1)?
1/2
2/(-2)*3/(-9)
1/3
What is (-4)/6*30/(-5)?
4
Calculate ((-4)/10)/(8/((-440)/(-11))).
-2
Evaluate ((-4)/(-18))/(9*(-9)/(-729)).
2
What is the value of ((-24)/32)/(9/(-8))?
2/3
Evaluate 7/(-14)*((-3)/(-1))/9.
-1/6
What is the value of ((-1)/(15/18))/((-4)/(-10))?
-3
Evaluate ((-36)/2898)/(1/7).
-2/23
Evaluat | {
"pile_set_name": "DM Mathematics"
} |
2. Let b = -8 + 5. What is the remainder when z is divided by (14/(-8))/(b/12)?
5
Let w = 172 - 170. Suppose c - 4*r = w*c - 34, -3*r = -c - 1. Calculate the remainder when 110 is divided by c.
12
Suppose 6*p = 15*p + 39*p - 1968. Calculate the remainder when 649 is divided by p.
34
Suppose 4*c = -8 - 40. Let d(n) = -6*n - 49 + 15 - 3 + 5. What is the remainder when d(c) is divided by 9?
4
What is the remainder when (0 + -15)*((-896)/20 - -16) is divided by 53?
8
Let w = 163 - 71. Let n = -35942 + 35992. Calculate the remainder when w is divided by n.
42
Suppose -10421*h + 10432*h - 36245 = 0. Calculate the remainder when h is divided by 21.
19
Let f(x) = -3*x**2 + 19*x - 19. What is the remainder when 279 is divided by f(3)?
4
What is the remainder when (-2)/10*5*-338 is divided by (-1 - -2)*(-4)/(-4)*87?
77
Let t(n) = 2*n**3 - 4*n**2 - 2*n + 4. Let i be t(3). Suppose 9*h - i = 218. Calculate the remainder when h is divided by (0 - -12) + (15 - 18).
8
Let v(g) = -g**3 + g**2 + 73*g + 18. Let c be v(-9). Suppose -s + 187 = 5*z, s - 2*z - z = c. What is the remainder when s is divided by 59?
0
Suppose 5*x + 0*g - 4*g - 925 = 0, -4*x + 5*g + 740 = 0. Suppose 0 = 3*m + 2*h - 343 - x, -5*m = 4*h - 880. Calculate the remainder when m is divided by 36.
32
Let s be 47 + -4*12/(-8). Suppose 31 = 4*j - s. Calculate the remainder when 30 is divided by j.
9
Suppose -4*i + 2916 = -38*x + 42*x, -3*i = 5*x - 3639. What is the remainder when x is divided by 56?
54
Let g(d) = 42*d - 16. Let w be g(1). Let b = 118 - w. What is the remainder when b is divided by 26?
14
Let b = 143 - 147. Let u be 300 + b/(-4)*(-1 + 3). Calculate the remainder when 117 is divided by ((-15)/3)/25 + u/10.
27
Let h(s) = s**2 - 5*s + 6. Let f be h(4). Suppose -4*k - f = -6*k. What is the remainder when k is divided by (-6)/(-7) + ((-104)/91)/(-8)?
0
Let c(o) = o**2 - 4*o - 13. Suppose 2*z = u + 171 - 197, 4*u + 5*z - 117 = 0. What is the remainder when c(12) is divided by u?
27
Suppose -3*q - 568 = -598. Suppose q*v - 102 = 4*v. What is the remainder when 43 is divided by v?
9
Let w(x) = -x**3 + 12*x**2 + 14*x - 38. Let h(d) = d**3 - 30*d**2 - 3*d + 101. Let n be h(30). What is the remainder when w(n) is divided by 30?
27
Suppose -31*u = -618 + 334 - 1731. Calculate the remainder when 211 is divided by u.
16
Let t = 156 - 81. Let k = -4481 + 4488. Calculate the remainder when t is divided by k.
5
Let i = 200 - 134. Let p(n) = 2*n**2 - 27*n - 8. Let k be p(14). Suppose -k*b - 79 = -283. Calculate the remainder when i is divided by b.
32
What is the remainder when (116/(-145))/(6830/(-975) + 2 + 5) is divided by 16?
12
Let t = 13475 - 13376. Let m be 222/(-8) - 3/12. Let o = m + 45. Calculate the remainder when t is divided by o.
14
Suppose 2*z - 9*z = -5*u - 1792, 2*z - 5*u = 512. Calculate the remainder when 965 is divided by z.
197
Let c(a) be the third derivative of a**5/30 + 13*a**4/6 - 161*a**3/6 - 2*a**2 - 132*a. Calculate the remainder when 753 is divided by c(-29).
12
Let x(b) = b**3 - 14*b**2 + 14*b - 12. Let j be x(13). Let g be (5*(-2)/(-30))/(j/393). Let s = g + -93. Calculate the remainder when s is divided by 8.
6
What is the remainder when 110 is divided by (9 - 5)/((-8)/(-12)) - (-3 + 1)?
6
Let t(z) = z - 7. Let q be t(7). Suppose 5*x - 2*w - 47 = q, x = -3*x - 2*w + 34. Suppose -2*m - 1 = -x. Calculate the remainder when 7 is divided by m.
3
Let d = 38 - -48. Suppose 5*r - d = 24. What is the remainder when 106 is divided by r?
18
Suppose 19*a - 22 - 111 = 0. Let y(i) = i**3 - 13*i**2 + 13*i - 6. Let o = 20 + -8. What is the remainder when a is divided by y(o)?
1
Suppose -t + 2*t + 3*j - 18 = 0, t + j = 12. Suppose -132 + 366 = -t*x. Calculate the remainder when 2/4*-2*x is divided by 11.
4
Let c(h) = 53*h + 1. Let r = -118490 + 118524. What is the remainder when c(7) is divided by r?
32
Let m(x) = x**2 + 6*x - 13. Let v be m(9). Let a = 3 + v. Suppose 78 = 7*l - a. What is the remainder when 111 is divided by l?
24
Let d(s) = s**3 - 9*s**2 - 2*s + 72. What is the remainder when 4*(-2)/(-8) + 214 is divided by d(9)?
53
Let s(y) = 15*y - 39. Let b be s(13). Let q = -116 + b. Calculate the remainder when q is divided by 2.
0
Suppose 11*l - 41*l + 3132 = -3*l. What is the remainder when 240 is divided by l?
8
Let v be 30/(-4)*(-8)/12. Suppose 4*t + 3*u - 218 = 0, v = 2*u + 1. What is the remainder when t is divided by 1/(-2)*1*-38?
15
Let s(z) = 585*z**2 + 3*z - 12. What is the remainder when s(3) is divided by 155?
147
Calculate the remainder when 139 - 144 - (0 - 0 - (-1 - -39)) is divided by (-416)/(-20) + 4/(-5).
13
Let f be ((-14940)/150)/((4/(-10))/1). Suppose -c + 4*m = -f, -3*c + 58*m = 60*m - 719. Calculate the remainder when c is divided by 62.
55
Let d = 15821 + -15814. What is the remainder when 1532 is divided by d?
6
Suppose 4*b + 15 = 3*p, 0 = 5*p - 4*b - 97 + 64. Calculate the remainder when 4192 is divided by p.
7
Suppose -9 = -w + 3*s + 6, -9 = -w + s. Suppose t + k = 21, t - k - 25 = -w*k. Calculate the remainder when 98 is divided by t.
18
Let f = 7 - 3. Let d(s) = 4*s**2 - 73*s + 37. Let t be d(18). Calculate the remainder when (t - 1)/((-60)/(-9) - 6) is divided by f.
3
Let q = -34174 - -34331. Calculate the remainder when 377 is divided by q.
63
Let x = 256 - 248. Calculate the remainder when 105 is divided by (2241/36 - x) + 2/(-8).
51
Suppose 27 - 369 = -d. Let u = d + -189. Suppose 5*g - 6*g + 31 = 5*s, 5*s + u = 3*g. What is the remainder when 89 is divided by g?
43
Suppose w - 391 = -160. Suppose 0 = 12*r - w - 1557. What is the remainder when r is divided by 19?
16
Suppose -628*b + 396375 = -275585. Calculate the remainder when b is divided by 47.
36
Let s = -1649 - -1717. Let q(c) = 2*c**2 + 3*c + 338. Calculate the remainder when q(0) is divided by s.
66
Suppose 7*v = 6*v + 22. Let i = 64 + -64. Suppose p - 4 = 0, i*g + 18 = g + 3*p. Calculate the remainder when v is divided by g.
4
Let r = 1061 - 1027. Calculate the remainder when 2/(-7) - 5664/(-28) is divided by r.
32
Suppose 6644*h = 6517*h + 6604. What is the remainder when 182 is divided by h?
26
Let c(r) = 3*r**2 + 15*r + 11. Let i be c(3). Let j = 151 - i. Calculate the remainder when 473 is divided by j.
65
Let k = -11219 + 17865. What is the remainder when k is divided by 10?
6
Suppose 0 = -78*n + 75*n + 21. Let a(m) = -m**2 + 11*m + 14. Calculate the remainder when 78 is divided by a(n).
36
Suppose 3*y + 7 = -2*v, v + 0 + 4 = -2*y. What is the remainder when 81 is divided by (0 - v) + (-48)/(2/(-1))?
3
Let w = 157 - 199. What is the remainder when 69 is divided by 32/(-12)*w/8?
13
Suppose 0 = -b + 3 + 2. Suppose 12*f - 636 + 168 = 0. Suppose -20 = f*r - 44*r. What is the remainder when b is divided by r?
1
Suppose -1239*c - 9870 = -1333*c. Let u(t) = -t + 3. What is the remainder when c is divided by u(-8)?
6
Let d(y) = -735*y + 5839. What is the remainder when d(7) is divided by 5?
4
Let p = 10081 - 9000. What is the remainder when p is divided by 110?
91
Let b be (14328/(-54))/((-2)/(-3)). Let y = b - -635. What is the remainder when y is divided by 16?
13
Let p be (-2061)/12 - (18/8)/(-3). Let m = 52 - p. Calculate the remainder when m is divided by 76.
71
Let t(v) = -166*v + 124. What is the remainder when t(0) is divided by 21?
19
Let j = 614 - 1078. Let i = 531 + j. Calculate the remainder when i is divided by 28.
11
Let j = -193 + 198. What is the remainder when (24/j)/(2/95) is divided by 7?
4
Suppose 2*s - 4*q = 122, 2*s - 40 = 5*q + 77. Calculate the remainder when 8588 is divided by s.
68
Suppose -2369 = -6*z - 1667. What is the remainder when z is divided by 5/((-2)/(24/(-3)))?
17
What is the remainder when 8 + 3710/10 - -16 is divided by 104?
83
Let b be (-8043)/(-84) + (-2)/(-8)*-3. Let n = -38 + 14. Let i = b - n. What is the remainder when i is divided by 12?
11
Let z = 3 + -8. Let x(b) be the second derivative of -7*b**3/3 - 35*b**2/2 + 22*b - 10. What is the remainder when x(z) is divided by 18?
17
Let q = -897 + 901. Calculate the remainder when 69 is divided by (-51)/(-7) + q + 120/(-28).
6
What is the remainder when ((-2)/2)/((-5)/655) is divided by (-6)/(-20) - (-53)/((-18550)/(-5145))?
11
Let d = 420 - 373. Let g(b) = b**2 + 25*b - 190. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
-k**3 + k**2 + k + 1. Suppose -v = -0*z + 3*z - 13, 3*z = 2*v + 19. Let u(f) = z*r(f) + o(f). Calculate u(-3).
8
Let l(z) = 4*z + 11. Let k(u) = 1. Let h(s) = -15*s - 34. Let g(c) = -h(c) + 5*k(c). Let x(o) = -5*g(o) + 18*l(o). Determine x(5).
-12
Let k(i) be the first derivative of i**3/3 + 13*i**2/2 + 16*i + 192. Calculate k(-12).
4
Suppose -9*d + 4*d = -400. Let c(z) = 0 + 0 + d*z - 82*z. Give c(-5).
10
Let x(o) = -3*o - 8. Let y(b) be the third derivative of -b**4/4 - 17*b**3/6 + 5*b**2. Let d(c) = -7*x(c) + 3*y(c). Calculate d(-4).
-7
Let i(j) = -j**2 + 3*j - 2. Let c = 171 - 168. Calculate i(c).
-2
Let b = -20 + 23. Suppose 0*j = -b*j + 15. Let t(x) be the third derivative of -x**5/60 + 5*x**4/24 + x**3/3 + 3*x**2. Give t(j).
2
Suppose -h - 15 = -5*v, -v - 21 = -7*h + 2*h. Let b(s) be the first derivative of -s**4/4 + 2*s**3/3 + 3*s**2 - 2*s - 5. Give b(v).
-10
Let l(d) = -17*d**2 - 4*d - 4. Let x(s) = 37*s**2 + 6*s + 9. Let j(g) = -13*l(g) - 6*x(g). Determine j(16).
-2
Let z(b) = -2*b**2 + 1. Let f(g) = 9*g**2 - 2*g - 8. Let r(m) = -f(m) - 4*z(m). Calculate r(2).
4
Let z(h) = 4*h - 8. Suppose -48*l = 53 - 389. Give z(l).
20
Let p(t) = t - 12. Let c be p(13). Let r(i) = -28*i + 5. Let v(f) = 29*f - 6. Let b(y) = -5*r(y) - 4*v(y). What is b(c)?
23
Let w(q) = -q**2 + 4*q. Suppose 2*s = 2*u + 8, -2*s + 0*u - 3*u + 8 = 0. Let k be 90/s*4/6. Let m = k + -13. Determine w(m).
4
Suppose 6*h - 9*h = -24. Suppose -b + 0 + h = 0. Let o(l) = -l**2 + 7*l + 11. Calculate o(b).
3
Let m = 53 + -13. Suppose -w + 32 = 3*w - 2*z, 5*w + z - m = 0. Let b = -11 + w. Let i(a) = 2*a - 2. Calculate i(b).
-8
Let s(d) = -d**3 - 2*d**2 + 3*d + 3. Suppose 46*t + 12 = 43*t. Give s(t).
23
Let b(m) = -m**2 - 10*m - 2. Let t(y) = y**2 + 15*y + 47. Let c be t(-7). Calculate b(c).
7
Let p(w) = -3*w**2 - 9*w. Let r(f) = 2*f**2 + 8*f. Let x(d) = 3*p(d) + 4*r(d). Let k(i) = 23*i + 2. Let m be k(2). Let l be (-2)/3 + 320/m. Give x(l).
-6
Let r(w) = -w**3 + w**2 + w. Suppose 0 = -t + 5*c + 7, 4*t + 5*c = -0 + 3. Give r(t).
-2
Let p(y) = -74*y + 15*y**2 + 72*y + 12*y**2 - 32*y**2 + 5 - y**3 + 7*y**2. What is p(2)?
1
Let d(p) = 13*p**3 - 4*p**2 - 2*p + 3. Let x(t) = -25*t**3 + 7*t**2 + 3*t - 5. Let r(m) = 7*d(m) + 4*x(m). Determine r(1).
-10
Let w(v) = -9*v**2. Suppose 4*i - 5*l - 4 = 0, -2*i + 12*l - 8*l = -2. Give w(i).
-9
Let k(j) = 3*j**2 + 1 - 2*j + 0 - 2*j**2 + 3*j**2. Give k(1).
3
Let g(b) = -11*b - 8 + 17*b + b**2 - 1 + 3 + 4*b. Give g(-11).
5
Let p(v) be the first derivative of -v**2/2 - 6*v - 6. Calculate p(7).
-13
Let f(l) = -5*l - 9. Suppose -2*x + c = 8, x + 14*c = 13*c - 1. Calculate f(x).
6
Let p(a) = 2*a**3 - 4*a**2 + 5*a - 8. Let o be p(3). Let q = -23 + o. Let i(u) = -u**3 + 2*u**2 + 2. Calculate i(q).
2
Let u = -31 - -32. Let d(p) = -p**2 - 8 + u - 26*p - 2 + 34*p. What is d(6)?
3
Let b(m) = -m**2 - m + 3. Let s be b(0). Let f(w) = 3 - 3*w**2 + 29*w + 7*w - 37*w + w**3. What is f(s)?
0
Let h be (-6820)/(-24) + 2/(-12). Let v(i) = -6 + 142*i + 143*i - h*i. Determine v(11).
5
Let q be (5 - 51/18) + (-2)/12. Let v(u) = 12*u**2 + 3*u + 1. Let m(t) = 6*t**2 + t. Let y(b) = q*v(b) - 5*m(b). Give y(2).
-20
Let q(f) = 2*f**2 + f. Let w be q(1). Suppose 0 + 9 = -w*s. Let d(x) = -x**2 - 5*x - 4. Give d(s).
2
Let j(r) = -15*r - 6. Let x be j(0). Let d(k) = k**3 + 5*k**2 - 5*k + 14. What is d(x)?
8
Let h(n) = -22*n - 8 + 6*n + 8*n + 9*n. What is h(3)?
-5
Suppose 3*j + 4*a - 2*a = -11, -5*j = -a + 27. Let c(y) = 2 + 11 - 2 + y - 2. What is c(j)?
4
Let w(s) be the third derivative of 0*s + 0 + 7/3*s**3 - 12*s**2 - 1/24*s**4. Suppose 0*z = 2*z - 3*n - 18, -3*n = -3*z + 24. Give w(z).
8
Suppose -5 = 5*w - 5*q, w + 4*q - 14 + 0 = 0. Let c(z) = -3*z + 5*z - 2*z + z + 1. Determine c(w).
3
Suppose -3*d + 18 = 4*y + 44, -4*y + 14 = -d. Let q(v) = -v**2 - 9*v + 7. What is q(d)?
-3
Let a(c) be the second derivative of -10*c + 0 + c**2 - 1/6*c**3. Calculate a(2).
0
Let c(t) be the first derivative of -7 + 0*t + 1/10*t**5 + 1/24*t**4 - t**2 + 4/3*t**3 + 1/120*t**6. Let g(m) be the second derivative of c(m). Determine g(-6).
2
Let p(n) be the first derivative of -n**3/3 - 2*n**2 + 5*n + 144. Let u = -8 - -3. What is p(u)?
0
Let c(b) = -b**2 - 3*b. Let d be 2799/27 - 2/3. Let f = d + -109. What is c(f)?
-18
Suppose -26*w + 25*w - 2 = 0. Let u(n) = n**3 + 4*n**2 + n - 3. Determine u(w).
3
Let u(q) = -4*q**2 - 5*q - 1262 - 8*q + 5*q**2 + 1270. Give u(11).
-14
Let m = 84 - 90. Let i be ((-3)/m)/(-1)*(10 - 2). Let y(r) = r**3 + 3*r**2 - 5*r + 3. Determine y(i).
7
Let f be (-1 + (-15)/(-9))/((-7)/21). Let p(l) = l + 2. Let o(d) = -2. Let j(z) = 3*o(z) + 2*p(z). Calculate j(f).
-6
Let b(r) = -5*r**2 + 21*r - 5. Let u = -852 - -859. Let f(h) = -2*h**2 + 10*h - 2. Let k be (-1)/2 - (-10)/(-4). Let z(l) = k*b(l) + u*f(l). Give z(-3).
-11
Suppose -2*u - 14 = -3*n - 0*n, 0 = -3*u - 12. Let y(j) = 0*j**n + 2*j - 5 + 4*j - j**2 + 10. What is y(6)?
5
Let h(k) be the second derivative of -k**4/12 - 4*k**3/3 + 11*k**2/2 - 49*k - 1. Determine h(-8).
11
Let n be 12/5 + 14/(-35). Let m be 0 + -3 - 4/n. Let b(c) = c**3 + 4*c**2 - 7*c + 1. Give b(m).
11
Let m be (-3)/6*(-8)/(-1). Let a be (m/(-6))/((-5)/(-60)). Let k(s) = 3*s + a*s - 6*s - 2 - s**2. What is k(3)?
4
Let t(x) be the first derivative of x**4/4 + 14*x**3/3 + 11*x**2/2 - x - 431. Calculate t(-13).
25
Suppose -5*b = -2*b - 27. Let y(v) = 8*v**2 + b*v**3 - 1 + 2*v**2 - 8*v**2. Determine y(-1).
-8
Let h(l) = -l**3 + 12*l**2 - 6*l - 12. Let y(p) be the third derivative of p**5/60 - p**3/6 - 10*p**2. Let u(z) = -h(z) + 5*y(z). Determine u(6).
7
Let r(v) = -2*v + 12. Let j be r(5). Let m(d) = -2*d**2 + 9*d + 3*d**2 - 9*d + 1 + j*d. Give m(-1).
0
Let a be 1/(3*5/30). Suppose -17 = -i + 2*w - 4, w + 11 = a*i. Let s(y) = -6*y + 7. Let q(u) = 5*u - 6. Let t(c) = 4*q(c) + 3*s(c). Give t(i).
3
Let r(f) = -f**2 + 11*f - 1. Suppose -3*b = 15, 4*p = 8*b - 3*b + 69. Give r(p).
-1
Let q(f) = f + 3. Suppose -3*l + 2*z - 12 = 0, 0 = -3*l + 4*z - 9 - 9. Determine q(l).
1
Suppose -z + 5*j + 5 = 28, 2*z - 2*j + 22 = 0. Let x be (-13 + 1)*z/24. Let v(g) = -g**2 - 10*g + 18*g**3 - 3*g**2 - 2 + 9*g - 17*g**3. Determine v(x).
-6
Let a(k) be the second derivative of 2/3*k**3 - 7*k - k**2 - 1/20*k**5 + 0 + 5/12*k**4. Give a(6).
-14
Let l(n) be the third derivative of n**4/24 - 5*n**3/6 + 2*n**2 - 3. Determine l(-6).
-11
Suppose 3*i = 2*c + 27 - 1, 36 = 4*i - 4*c. Let s = i + -5. Suppose -k - s*k = -b + 6, 4*b - 7 = -k. Let z(f) = -4*f**3 + 2*f + 1. Give z(k).
3
Let p = -12 + 13. Suppose -5*a - 10 = -3*n, 5 - p = -5*n - 2*a. Let l(c) = -c**3 - c**2. Calculate l(n).
0
Let j(l) = l - 4. Let r be j(6). Let v(a) be the second derivative of 0 + 9*a + 1/6*a**3 + 0*a**2. Give v(r).
2
Let l(z) be the third derivative of 0*z**3 + 0*z + 0 + 1/12*z**4 - 5*z**2. Give l(1).
2
Suppose 4*y - 2*i - 21 = -37, 8 = -2*y + 3*i. Let w(b) = 8*b + 5. Calculate w(y).
-27
Suppose -3*h - 2*h + 85 = 0. Let q(i) = -17*i - 36. Let k(x) = 3*x + 3. Let b(z) = -6*k(z) - q(z). Let j be b(h). Let t(o) = -o**3 + 1. Give t(j).
0
Let b(p) = 0*p**2 - 5*p**2 - 2287*p + 13 + 2271*p + 3*p**2. What is b(-9)?
-5
Let g(f) be the second derivative of 13/6*f**3 - 15/2*f**2 + 0 + 51*f - 1/12*f**4. Give g(12).
-3
Let p(m) = 7*m**2 + 7 + 2 - 2*m**2 - 9*m - 4*m**2. Suppose 4*t = -3*g + 22, g + t - 4 = 3*t. Give p(g).
-9
Let y(n) = n**2 - 6*n - 8. Let o(h) be the first derivative of h**3 - 17*h**2/2 - 22*h + 17. Let j(d) = -4*o(d) + 11*y(d). Calculate j(3).
-3
Let x(c) be the first derivative of 1/2*c**2 + 1/3*c**3 + 45 + c. Determine x(-3).
7
Let w be 19/(-6)*-1 + 8/(-48). Let l(f) = -f**3 + 4*f + 1. Calculate l(w).
-14
Suppose -42*g + 12 = -38*g. Let r(h) = -7*h**2 - 6 - 4 + 5 + 2*h**g - h**3 - 6*h. Calculate r(8).
11
Let v(z) = 15*z**3 + 7*z**2 - z - 1. Let q(u) = -14*u**3 - 6*u**2 + u + 1. Let d(n) = 7*q(n) + 6*v(n). Give d(-1).
8
Let d = -28 + 75. Let p = -52 + d. Let l(v) = v**3 + 6*v**2 + 4*v - 6. Determine l(p).
-1
Let u(a) = -2*a + 3. Suppose 2*m + 2*t - 2 = 0, -m + 4 = 4*m + 4*t. Determine u(m).
3
Let x(o) = o**3 - 7*o**2 + 4*o - 8. Suppose -4*r - 3 = y, y + 2*r = 4*r + 9. Suppose -y*w + 7*w - 12 = 0. Give x(w).
-20
Let u(d) = -d**2 + 3*d + 3. Let f be -3 + 6 + -3 + -2*1. Determine u(f).
-7
Let p be (-2)/(-1 | {
"pile_set_name": "DM Mathematics"
} |
7*t**5/390 - t**4/39 - 4*t**3/39 - 70*t**2 - t. Factor s(p).
-2*(p - 2)**2*(2*p + 1)/13
Find n such that -2/9*n**3 + 80/9 + 158/9*n + 76/9*n**2 = 0.
-1, 40
Determine n, given that -572/17*n**2 - 13310/17 + 58/17*n**4 + 452/17*n**3 + 2/17*n**5 - 14278/17*n = 0.
-11, -1, 5
Suppose 6*p - y = 2*p + 12, -2*y - 6 = -2*p. Factor -51*s + 14*s**3 + 4*s**p - 22*s**3 + 7*s**3 + 7*s**2 - 4*s**2 + 45.
3*(s - 3)*(s - 1)*(s + 5)
Suppose 56510*t + 395*t**3 - 22*t**4 + 25337 - 9202*t**2 + 17*t**4 + 35913 - 4885*t - 23*t**2 = 0. What is t?
-1, 10, 35
Let g(r) be the second derivative of -r**7/630 - 7*r**6/180 + 11*r**4/3 + 34*r - 2. Let w(k) be the third derivative of g(k). Factor w(c).
-4*c*(c + 7)
Let r(m) be the first derivative of -2*m**5/25 + 19*m**4/5 - 134*m**3/5 + 288*m**2/5 + 643. Factor r(k).
-2*k*(k - 32)*(k - 3)**2/5
Let q(n) = -68*n + 15. Let v be q(0). Suppose -v*a + 6 = -24. Factor 24/5*k + 48/5 + 3/5*k**a.
3*(k + 4)**2/5
Let a = 1457721 + -1457719. Factor 148/13 + 6/13*c**a - 226/13*c.
2*(c - 37)*(3*c - 2)/13
Let d = 196/29 - 124/87. Let c(f) be the first derivative of 0*f**2 + d*f**3 - 12*f**4 + 6 + 0*f + 36/5*f**5. Determine y so that c(y) = 0.
0, 2/3
Suppose 7*n = 19*n - 57228. Suppose -n*y = -4772*y + 12. Find p such that 9/2*p**y - 15/2*p**2 + 6*p**3 - 15/4*p**5 + 3 - 9/4*p = 0.
-1, -4/5, 1
Let x(g) be the first derivative of 68*g + 205 - 1/2*g**4 + g**2 - 68/3*g**3. Factor x(n).
-2*(n - 1)*(n + 1)*(n + 34)
Let t = -11682/373 + 36538/1119. Factor -t*m**2 - 34/9*m + 2/3.
-2*(m + 3)*(6*m - 1)/9
Let o = -10 + 21. Suppose -4*v + 1 = -o. Solve -3*r**3 + 3*r**v - 16*r**4 + 12*r**4 + 4*r**3 = 0 for r.
0, 1
Suppose -2*n - 135 = 5*t, 5*n + 52 - 27 = 0. Let q be 28/10 + (-5)/t. Find k such that -k**2 - 4/3 - 2/3*k**q + 1/3*k**4 + 8/3*k = 0.
-2, 1, 2
Solve -18 + 4/5*l**3 + 96/5*l - 34/5*l**2 = 0.
5/2, 3
Let a(p) = -17*p**3 + 190*p**2 + 403*p - 85. Let z(b) = -25*b**3 + 286*b**2 + 604*b - 128. Let t(j) = -8*a(j) + 5*z(j). Factor t(q).
(q - 10)*(q + 2)*(11*q - 2)
Let f(o) = -11*o**2 + 1. Let b(c) = 43*c**2 - 155*c - 158. Let z(t) = -b(t) - 4*f(t). Find v such that z(v) = 0.
-154, -1
Let r(i) be the third derivative of i**9/672 + i**8/112 + 3*i**7/560 - i**3/6 + 62*i**2. Let f(h) be the first derivative of r(h). Solve f(u) = 0 for u.
-3, -1/3, 0
Let t(w) = 27*w**2 - 15285*w + 15201. Let l(c) = -3*c**2 + 1698*c - 1689. Let a(v) = -19*l(v) - 2*t(v). Let a(i) = 0. What is i?
1, 563
Factor -92/3*c**2 - 104/3*c + 32/3 - 16/3*c**3.
-4*(c + 2)*(c + 4)*(4*c - 1)/3
Let v be ((-1071999)/(-6560))/19 - 8. Let i = -1/1312 + v. Factor 3/5*o**3 + 3/5 - 3/5*o**2 - i*o.
3*(o - 1)**2*(o + 1)/5
Suppose 10*p - 637 = -3*p. Let s be (p/147)/(1/12*2). Factor 4*x**3 + 10/19*x**5 + 26/19*x - 4/19 - 44/19*x**4 - 64/19*x**s.
2*(x - 1)**4*(5*x - 2)/19
Let j(w) be the third derivative of -w**7/70 + 75*w**6/2 - 84375*w**5/2 + 52734375*w**4/2 - 19775390625*w**3/2 - 2017*w**2. Let j(p) = 0. What is p?
375
Suppose -3/2*w**4 - 15*w**3 + 15*w + 114*w**2 - 225/2 = 0. What is w?
-15, -1, 1, 5
Factor 1620*l**2 - 14*l**3 + 101728*l + 19*l**3 + 31097*l + 259210.
5*(l + 2)*(l + 161)**2
Suppose 22*a - 563 - 713 = 0. Factor -32*b**2 - 6 - 9 + 2*b**3 - 13 - 4*b**3 - a*b.
-2*(b + 1)**2*(b + 14)
Let x be 22 + 18/(18/(-19)). Let u(t) be the second derivative of -1/5*t**5 + 0 + 34*t + 0*t**2 - 1/3*t**4 + 4/3*t**x. Find n such that u(n) = 0.
-2, 0, 1
Let f(o) be the first derivative of -2*o**5/55 + 180*o**4/11 - 64076*o**3/33 - 65160*o**2/11 - 65522*o/11 - 1479. Factor f(b).
-2*(b - 181)**2*(b + 1)**2/11
Let l = 25361 + -608663/24. Let g(q) be the first derivative of -5/12*q**2 - 14 + 1/3*q + 1/6*q**3 - 1/30*q**5 + l*q**4. Factor g(u).
-(u - 1)**3*(u + 2)/6
Let n(k) = k**3 + 23*k**2 - 77*k + 72. Let j(a) = 4*a**3 + 68*a**2 - 230*a + 216. Let w(t) = -3*j(t) + 10*n(t). What is g in w(g) = 0?
2, 9
Let m be (199/(-3998))/(72/320). Let h = 2/1999 - m. Suppose h*z + 2/3 - 2/9*z**3 - 2/3*z**2 = 0. What is z?
-3, -1, 1
Let w(y) be the first derivative of 3*y**4/8 + 809*y**3/2 - 2384. Factor w(s).
3*s**2*(s + 809)/2
Suppose -22 = -12*m + 38. Find k, given that -21*k**3 - 5*k + k**5 + m*k**4 + 54*k**3 - k - 28*k**3 - 5*k**2 = 0.
-3, -2, -1, 0, 1
Let l = 411 + -426. Let s(x) = 5*x**2 + 29*x + 22. Let m(n) = 35*n**2 + 205*n + 155. Let f(y) = l*s(y) + 2*m(y). Factor f(z).
-5*(z + 1)*(z + 4)
Let f(x) be the first derivative of x**6/12 - x**5/10 - 1671. Factor f(l).
l**4*(l - 1)/2
Factor -2/23*x**2 - 236/23*x + 238/23.
-2*(x - 1)*(x + 119)/23
Let n be (-10 - -14)/(12/45). Suppose n*q = 16*q. Determine a, given that 0*a - 33/5*a**2 + 3/5*a**3 + q = 0.
0, 11
Suppose -3*a - 29*i = -30*i - 10, -5 = 3*a - 4*i. Suppose -2*o = -a*o. Let -4/7*g + o + 2/7*g**2 = 0. Calculate g.
0, 2
Let n(f) be the third derivative of f**5/60 - 13*f**4/3 - 35*f**3/2 - 372*f**2. Factor n(r).
(r - 105)*(r + 1)
Let s = -10052 - -80419/8. Let l(n) be the third derivative of -4/3*n**3 - 12*n**2 + 0 + 0*n - s*n**4 - 1/60*n**5. Suppose l(c) = 0. Calculate c.
-8, -1
Let s = 20915 - 230063/11. Let k(w) = w**2 + w. Let b be k(-1). Factor -s*n + 2/11*n**3 + 0*n**2 + b.
2*n*(n - 1)*(n + 1)/11
Let n be (-63)/105 - 4/10. Let u(g) = g**2. Let v(y) = 9*y**2 + 156*y - 2028. Let d(j) = n*v(j) + 12*u(j). Factor d(m).
3*(m - 26)**2
Let g(h) be the first derivative of 2*h**5/65 + h**4/2 + 80*h**3/39 + 36*h**2/13 - 1361. Factor g(w).
2*w*(w + 2)**2*(w + 9)/13
Let f be 13 + (-10 + (-713)/(-69))/(2/(-60)). Factor 0 + 3/2*d**f - 3*d + 3/2*d**2.
3*d*(d - 1)*(d + 2)/2
Let d(o) be the second derivative of 0 + 0*o**2 + 11/15*o**6 + 2/3*o**3 - 11/10*o**5 + 1/6*o**4 + 18*o - 1/7*o**7. Find f such that d(f) = 0.
-1/3, 0, 1, 2
Let y be 5 + 11/(77/(-14)). Factor -33*d + 3*d**5 - 13 - 2 - 818*d**3 + 848*d**y - 6*d**2 + 21*d**4.
3*(d - 1)*(d + 1)**3*(d + 5)
Let n be (-18*(-5)/900)/((-32)/(-2)). Let z(k) be the second derivative of 0 - 49/16*k**3 - 343/16*k**2 - 7/32*k**4 - 9*k - n*k**5. Factor z(w).
-(w + 7)**3/8
Let l(w) = -2*w**2 + 26*w + 2. Let h(z) be the third derivative of -z**5/60 + 25*z**4/24 + z**3/2 + 6*z**2. Let u(i) = 2*h(i) - 3*l(i). Factor u(o).
4*o*(o - 7)
Let x(i) be the third derivative of -4/35*i**7 + 2/15*i**5 + 236*i**2 + 8/3*i**3 + 1/84*i**8 + 0 + 0*i - 3/2*i**4 + 4/15*i**6. Let x(v) = 0. What is v?
-1, 1, 4
Let n(b) be the first derivative of 1/7*b**3 + 30/7*b - 145 - 3/2*b**2. Solve n(d) = 0 for d.
2, 5
Let y(n) be the second derivative of -n**5/60 + n**4/72 + n**3/9 + 109*n**2 + 219*n. Let r(b) be the first derivative of y(b). Suppose r(o) = 0. What is o?
-2/3, 1
Suppose 12 + 39/2*b**2 + 81*b = 0. What is b?
-4, -2/13
Let r(j) be the third derivative of 0 + j - 60*j**2 - 1/100*j**5 - 1/10*j**4 - 3/10*j**3. Factor r(o).
-3*(o + 1)*(o + 3)/5
Let v(o) be the third derivative of -o**8/1176 - o**7/105 + 6*o**5/35 - 20*o**2 - 5*o - 8. Find t, given that v(t) = 0.
-6, -3, 0, 2
Let g(d) be the first derivative of 8/3*d**3 + 41*d + 4 + 0*d**2 - 1/3*d**4 - 1/10*d**5. Let b(q) be the first derivative of g(q). Factor b(w).
-2*w*(w - 2)*(w + 4)
Suppose 4*d - 4*q = -4, -2*d - 3*q + 16 - 13 = 0. Let t(k) be the second derivative of 5/6*k**3 + 0 - 11*k + d*k**2 + 5/12*k**4. What is f in t(f) = 0?
-1, 0
Let u be ((-1)/4)/((-5)/(-4)) - 8/(-40). Let z(x) be the second derivative of u - 27*x**2 + 9/2*x**3 + 1/80*x**5 - 3/8*x**4 - 27*x. Factor z(b).
(b - 6)**3/4
Let z(u) be the first derivative of 80*u**2 - 155/3*u**3 + 180*u + 106 + 15/4*u**4. Factor z(l).
5*(l - 9)*(l - 2)*(3*l + 2)
Suppose 480 = 5*j - f, 0 = -j + 3*j + f - 192. Factor j*v**2 - v - 48*v**2 - 44*v**2.
v*(4*v - 1)
Let a(n) be the second derivative of 1 - 11/24*n**3 + 1/4*n**4 + 0*n**2 - 5*n - 1/80*n**5. Suppose a(t) = 0. Calculate t.
0, 1, 11
Suppose -599*d + 292*d + 293*d = -28. Let i(r) be the third derivative of 0 - 8/15*r**5 + 0*r + 6*r**d + 0*r**3 + 1/2*r**4. Determine m so that i(m) = 0.
0, 3/8
Let g(v) = 39 - 22*v + 92 + 21 + 11*v**2 + 68 + 2*v. Let u(o) = 2*o**2 + 2*o - 1. Let c(b) = g(b) - 5*u(b). Factor c(d).
(d - 15)**2
Suppose -4/5*n**2 + 5512/5*n - 1898884/5 = 0. Calculate n.
689
Let h = -837444 - -837444. Let d = 714/55 + -64/5. Suppose 0*n**2 + 2/11*n**3 + h - d*n = 0. Calculate n.
-1, 0, 1
Factor -39/4*t**2 - 18 - 21/4*t**3 + 3/4*t**4 + 129/4*t.
3*(t - 8)*(t - 1)**2*(t + 3)/4
Suppose -5 | {
"pile_set_name": "DM Mathematics"
} |
11*s**2 wrt s?
-8*k**3 + 6*k*s - 22
Find the second derivative of -j**2*n*o + 190*j**2*o**2 - 37*j**2 + j*n + j*o**2 + 2*n*o**2 + 2*o wrt o.
380*j**2 + 2*j + 4*n
Differentiate -2*c*k**2 - 87*c*k*p**2 - 35*c*p**2 + 3*c*p + k**2*p + p with respect to k.
-4*c*k - 87*c*p**2 + 2*k*p
What is the third derivative of 699*l**3*x**4 + 2*l**3*x**3 - 3*l**3*x + 17*x**2 + 10*x wrt x?
16776*l**3*x + 12*l**3
What is the second derivative of 5*r**3*u**3 + 21*r**3*u**2 - 6*r**3*u + 25*r**3 wrt u?
30*r**3*u + 42*r**3
What is the third derivative of c**2*s**3 - c**2*s + 10*c*s + 749*s**4 + 2*s**2 wrt s?
6*c**2 + 17976*s
Find the third derivative of -11003*n**6 + 10*n**2 + 43*n - 2 wrt n.
-1320360*n**3
What is the second derivative of -846*b**2*g**2 + 2*b**2 + b*g**2 + 9*b*g + 10*b wrt b?
-1692*g**2 + 4
Find the third derivative of -752*j**6 - j**2 - 543*j wrt j.
-90240*j**3
Find the third derivative of -17980*y**3 - 5*y**2 + 822 wrt y.
-107880
What is the first derivative of -382*l + 154?
-382
Differentiate 479*h**4 - h - 1238.
1916*h**3 - 1
What is the third derivative of 27*v**4 + v**3 - 493*v**2?
648*v + 6
Find the second derivative of 507*h**2 + 475*h wrt h.
1014
What is the third derivative of -2*j**5*k**2 + 123*j**3*k**2 - j**2*k**2 - 31*j*k**2 - 5*j*k wrt j?
-120*j**2*k**2 + 738*k**2
What is the third derivative of 170*s**5 + 89*s**2?
10200*s**2
Find the third derivative of -3508*k**4 + 38*k**2 - 9*k + 5.
-84192*k
Find the third derivative of -c*i*l**3 + 2*c*i*l - 2*c*l**3 + 3*c*l**2 - c - 278*i*l**3 - 6*i*l**2 wrt l.
-6*c*i - 12*c - 1668*i
Find the second derivative of 1014*j**2*o**2 - 709*j + o**2 wrt j.
2028*o**2
What is the second derivative of -10*a**2*t**3 + 2*a**2*t**2*x**2 - 16*a*t**2*x**2 + a*x**2 - 2*t**3*x wrt a?
-20*t**3 + 4*t**2*x**2
What is the derivative of -29245*n**2 - 9813 wrt n?
-58490*n
What is the second derivative of s**3*z**2 - 23*s**3 + 282*s**2*z**2 - 2*s**2*z - 15*s wrt z?
2*s**3 + 564*s**2
What is the third derivative of 2*a*i**2*l**2 - 71*a*l**4 - 2*a*l - 2*i**2*l**4 - 5*i**2*l**2 - 5*i*l wrt l?
-1704*a*l - 48*i**2*l
What is the second derivative of 71*v**3 + 4*v**2*x + 9*v*x + 3*v - 1 wrt v?
426*v + 8*x
What is the first derivative of -1029*m**2 + 1727 wrt m?
-2058*m
Find the third derivative of -14*o**6 - 3*o**3 - 347*o**2 wrt o.
-1680*o**3 - 18
Find the third derivative of -17*b**3*y**3 + 54*b**3 - 600*b**2*y**3 + 2*b*y wrt b.
-102*y**3 + 324
Differentiate -49*r - 175 with respect to r.
-49
What is the third derivative of 2051*d**3*k**4 - 10*d**3 - 95*k**2 wrt k?
49224*d**3*k
What is the third derivative of -2093*u**4 - 1320*u**2 wrt u?
-50232*u
Find the third derivative of 54*f**6 + 5*f**5 + 1392*f**2.
6480*f**3 + 300*f**2
Differentiate -1330*h**3*y - 9327*h**3 + 3*h**2*y + h*y - h wrt y.
-1330*h**3 + 3*h**2 + h
What is the first derivative of 25*n**3*s + 3477*n**3 - n*s**3 - 3*s wrt s?
25*n**3 - 3*n*s**2 - 3
What is the second derivative of -1385*d**2 - 68*d - 4 wrt d?
-2770
Differentiate -11504*d - 14778.
-11504
Find the second derivative of -2382*t**2 - 1595*t.
-4764
Differentiate -160*i**3*q**2 + 265*i**3 - 2*i**2*q**3 wrt q.
-320*i**3*q - 6*i**2*q**2
What is the third derivative of 23*b*d**3*j**3 + 10*b*d**3*j**2 + 36*b*d**2 + 2*b + d*j**3 wrt d?
138*b*j**3 + 60*b*j**2
What is the first derivative of 2*l**2*o - 2*l**2 + l - 260*o + 1652 wrt o?
2*l**2 - 260
Find the second derivative of -99*b**2*c**3 - 9*b**2 - 556*b*c**3 + 1 wrt b.
-198*c**3 - 18
What is the second derivative of 10*j**2*w**3 + 2*j**2*w + j**2 - 2*j*w**3 - 4*j*w + 3*w**3 + 28*w wrt w?
60*j**2*w - 12*j*w + 18*w
Find the third derivative of 2*c**3*d**3 + 112*c**3*d**2 - 52*c**2*d - 14*d**3 wrt c.
12*d**3 + 672*d**2
Find the third derivative of 2*b**5 + 2666*b**4*v + 3*b**2*v + 206 wrt b.
120*b**2 + 63984*b*v
Find the second derivative of 1481*t**3 + 919*t wrt t.
8886*t
What is the second derivative of -c**3*m**2*t - c**3*t + 111*c**3 - 8*c**2*m**3*t - 3*m**2*t - 2*m wrt m?
-2*c**3*t - 48*c**2*m*t - 6*t
Find the second derivative of -218*s**2 + 2*s + 41 wrt s.
-436
Differentiate -2*l**3*o + 2416*l**3 - 40*l**2*o**2 + 181*o**2 wrt o.
-2*l**3 - 80*l**2*o + 362*o
What is the third derivative of 497*p**6 - 6*p**2 - 23*p?
59640*p**3
Find the second derivative of 11*b**5 + 8*b**3*c*d - b**3*c + 2*b*c*d - 5*b*c + d wrt b.
220*b**3 + 48*b*c*d - 6*b*c
Find the third derivative of 3*i**5 - 110*i**4 + 384*i**2.
180*i**2 - 2640*i
What is the third derivative of 322*v**3 - 240*v**2 wrt v?
1932
What is the derivative of -23*f**2*q**3 - 8*f**2*q + 9*f**2 + 2*f*q + 26*f wrt q?
-69*f**2*q**2 - 8*f**2 + 2*f
What is the third derivative of -4*f**6 - 8*f**5 - f**2 - 172 wrt f?
-480*f**3 - 480*f**2
Find the third derivative of 19*v**6 + 166*v**4 + 2*v**3 - 201*v**2 - 1 wrt v.
2280*v**3 + 3984*v + 12
What is the second derivative of -158*a**5 + 6*a**2 + 16*a - 2 wrt a?
-3160*a**3 + 12
Find the third derivative of -14*q**6 - 25*q**4*w**3 - 2*q**4 - 9*q**2*w + 90*w**3 wrt q.
-1680*q**3 - 600*q*w**3 - 48*q
Find the third derivative of 11*a*j**6 - 2*a*j**5 + a*j**2 - 4*a - 4 wrt j.
1320*a*j**3 - 120*a*j**2
What is the first derivative of 13*c**4 - 22*c**3 + 1873 wrt c?
52*c**3 - 66*c**2
Find the first derivative of 5*x**2 - 9*x - 2266.
10*x - 9
What is the second derivative of 795*k**2*z**2 + 569*k**2*z wrt z?
1590*k**2
Find the third derivative of 163*p**5*u + p**3*u**2 - p**2 - 73*p*u**2 wrt p.
9780*p**2*u + 6*u**2
Find the third derivative of -3*a**3*f**4 - 3*a**3*f**2 - a*f + 6*a - 525*f**5 + f**2 wrt f.
-72*a**3*f - 31500*f**2
Find the third derivative of -2*f*j**3 + 106*f*j + 36*j**3 - 2*j**2 wrt j.
-12*f + 216
Differentiate -472*a**4 - 394 wrt a.
-1888*a**3
Differentiate -f**4 - 173*f + 358 with respect to f.
-4*f**3 - 173
What is the second derivative of 64*k**2*n**2 + 2*k**2*n + 6*k*n**2 + 14*k*n wrt n?
128*k**2 + 12*k
What is the second derivative of -2*d**5*s + 4*d**5 - 2*d**2*s**3 + 854*d*s**3 - s**3 wrt d?
-40*d**3*s + 80*d**3 - 4*s**3
What is the third derivative of -1193*g**2*l**3*t - g**2*l + 41*g*l**2 + 3*g*l*t wrt l?
-7158*g**2*t
Differentiate 283*c**4 - 201.
1132*c**3
What is the second derivative of 23319*z**2 - 11401*z - 1?
46638
Find the first derivative of n*r**2 - 14*n*r + 4*n*x + 9213*r**2*x wrt n.
r**2 - 14*r + 4*x
Find the third derivative of -1031*g**2*y**3 + 131*g**2*y**2 wrt y.
-6186*g**2
Find the third derivative of 18100*u**3 + 218*u**2 + 7.
108600
Find the first derivative of 4525*a + 6914.
4525
What is the second derivative of 25*i**5 - i**4 + 14*i**3 + 3606*i wrt i?
500*i**3 - 12*i**2 + 84*i
Find the third derivative of n*v**4 - 22*n*v**3 + 68*n*v**2 - 12*n*v - n + 9*v**3 wrt v.
24*n*v - 132*n + 54
Find the third derivative of -406*o**3 - 6588*o**2 wrt o.
-2436
Find the second derivative of 20*q**4 + q**2 + 12*q - 5.
240*q**2 + 2
What is the second derivative of -323*z**2 - 168*z?
-646
Find the third derivative of 104*c**5 - 44*c**4*h**2 - c**2*h**2 + 1165*c**2 wrt c.
6240*c**2 - 1056*c*h**2
Find the third derivative of 2*n**4*y**2 + 13*n**4 + n**3*y - 3*n**2*y**2 - 3*y**2 wrt n.
48*n*y**2 + 312*n + 6*y
Differentiate -16*b*c**2*t - b*c*t**2 - 5*b*c*t + 4*c**2*t**2 - 4*c**2 + 2*c*t**2 with respect to b.
-16*c**2*t - c*t**2 - 5*c*t
What is the second derivative of 181*q**3 + 3*q**2 + 271*q wrt q?
1086*q + 6
What is the third derivative of 5592*d**4 + d**3 + 633*d**2 + d + 4 wrt d?
134208*d + 6
Find the second derivative of -2*t**3*y + 138*t**2*y - 2*t**2 - 8*t*y - 30 wrt t.
-12*t*y + 276*y - 4
Find the first derivative of 2*a**2 + 25*a + 464.
4*a + 25
Find the third derivative of -2*k**4 - 273*k**3 + 773*k**2.
-48*k - 1638
What is the third derivative of 56*f*m**3*x**2 - f*m**3*x + f*m**3 - f*m**2*x**2 - 17*f*m**2*x + 3*m*x**2 wrt m?
336*f*x**2 - 6*f*x + 6*f
Find the third derivative of 3*d**3*f*o**3 + 413*d**3*f*o - 2*d**2*f + 3*d*f*o**3 + 2*d*f*o + 8*f*o wrt d.
18*f*o**3 + 2478*f*o
Differentiate 367*h - 749 wrt h.
367
What is the second derivative of -18*i**5*v + i**4*v**2 - 10*i*v - 3*v**2 wrt i?
-360*i**3*v + 12*i**2*v**2
What is the derivative of b**3*k*v*y + 2*b**3*y**2 - 5*b**2*k*v*y - 2*b*k*y + k*y**3 - v*y**3 + 6 wrt v?
b**3*k*y - 5*b**2*k*y - y**3
Find the third derivative of -1678*h**6 - 467*h**2 wrt h.
-201360*h**3
What is the thir | {
"pile_set_name": "DM Mathematics"
} |
340472?
True
Is 1711976 a multiple of 19?
True
Does 9 divide 1423548?
True
Is 147513 a multiple of 14?
False
Is 861095 a multiple of 24?
False
Is 29 a factor of 363225?
True
Does 116 divide 223078?
False
Does 3 divide 121862?
False
Does 185 divide 502645?
True
Is 316316 a multiple of 4?
True
Does 20 divide 8678224?
False
Does 20 divide 2408906?
False
Is 425834 a multiple of 13?
False
Is 231 a factor of 703636?
False
Does 158 divide 655226?
True
Does 744 divide 946368?
True
Does 7 divide 3621683?
False
Is 162 a factor of 7453296?
True
Does 118 divide 185850?
True
Is 71 a factor of 1976001?
True
Is 1360987 a multiple of 31?
False
Is 2226500 a multiple of 122?
True
Is 582120 a multiple of 18?
True
Is 244691 a multiple of 132?
False
Does 20 divide 599801?
False
Does 61 divide 4675?
False
Is 4 a factor of 27290?
False
Does 54 divide 19068?
False
Does 618 divide 108768?
True
Does 56 divide 78176?
True
Does 58 divide 1020789?
False
Is 309 a factor of 370800?
True
Does 47 divide 45356?
False
Is 32 a factor of 377568?
True
Is 47 a factor of 1964036?
True
Is 159 a factor of 829980?
True
Does 128 divide 164544?
False
Does 157 divide 53851?
True
Does 8 divide 50724?
False
Is 82 a factor of 3477260?
False
Is 3334176 a multiple of 54?
True
Is 3954707 a multiple of 29?
False
Is 15 a factor of 25172?
False
Is 6966744 a multiple of 45?
False
Is 105 a factor of 3250800?
True
Does 28 divide 395416?
True
Is 115186 a multiple of 15?
False
Is 189 a factor of 1881573?
False
Does 16 divide 4964670?
False
Does 238 divide 570746?
False
Does 5 divide 665520?
True
Does 4 divide 953112?
True
Is 1262331 a multiple of 27?
True
Does 207 divide 3459774?
False
Is 7 a factor of 341905?
False
Is 141 a factor of 5838951?
True
Is 410679 a multiple of 30?
False
Is 26 a factor of 416974?
False
Does 622 divide 742046?
True
Is 198591 a multiple of 316?
False
Does 521 divide 379809?
True
Is 6 a factor of 1261353?
False
Is 3181753 a multiple of 319?
False
Is 311532 a multiple of 78?
True
Does 100 divide 245700?
True
Is 1475 a factor of 5210218?
False
Is 8264503 a multiple of 33?
False
Is 246 a factor of 137760?
True
Is 866 a factor of 21994?
False
Is 14 a factor of 1926951?
False
Is 317280 a multiple of 120?
True
Is 285324 a multiple of 59?
True
Does 90 divide 188640?
True
Is 17 a factor of 25143?
True
Is 2442329 a multiple of 11?
False
Is 86 a factor of 2311852?
True
Is 13 a factor of 206092?
False
Is 83 a factor of 114476?
False
Is 3 a factor of 16790?
False
Does 313 divide 303923?
True
Is 1112904 a multiple of 1066?
True
Is 57 a factor of 211071?
True
Is 693 a factor of 2125322?
False
Does 48 divide 11865?
False
Is 13 a factor of 536149?
False
Is 565 a factor of 1688220?
True
Is 117379 a multiple of 21?
False
Does 123 divide 48339?
True
Is 136 a factor of 5260788?
False
Is 103628 a multiple of 4?
True
Does 102 divide 698496?
True
Does 22 divide 108419?
False
Is 41 a factor of 63796?
True
Does 1062 divide 3018204?
True
Is 56 a factor of 2800056?
True
Is 3466230 a multiple of 86?
True
Does 7 divide 121833?
False
Does 19 divide 481631?
True
Is 202076 a multiple of 10?
False
Is 15 a factor of 436869?
False
Does 12 divide 215634?
False
Is 2748219 a multiple of 118?
False
Is 160749 a multiple of 17?
False
Is 768 a factor of 10553856?
True
Is 280 a factor of 408137?
False
Is 147866 a multiple of 12?
False
Is 130 a factor of 3987230?
True
Is 24 a factor of 301104?
True
Is 70440 a multiple of 71?
False
Is 725610 a multiple of 95?
True
Is 19 a factor of 2137164?
False
Does 23 divide 15494?
False
Is 29 a factor of 5464412?
True
Is 1867 a factor of 393937?
True
Is 4092 a multiple of 22?
True
Is 81 a factor of 1483353?
True
Does 70 divide 3843283?
False
Is 1019 a factor of 12923027?
False
Is 2 a factor of 218746?
True
Does 24 divide 37056?
True
Does 14 divide 93701?
False
Is 38 a factor of 102144?
True
Is 2 a factor of 1295965?
False
Does 67 divide 6548087?
False
Does 13 divide 334739?
False
Is 17 a factor of 35853?
True
Is 10016 a multiple of 32?
True
Is 240398 a multiple of 13?
False
Does 6 divide 169008?
True
Is 51 a factor of 47148?
False
Is 79 a factor of 126030?
False
Is 649 a factor of 425910?
False
Does 79 divide 50220?
False
Is 26 a factor of 197288?
True
Is 1877298 a multiple of 39?
False
Does 25 divide 238249?
False
Does 6 divide 69574?
False
Does 7 divide 169281?
True
Is 123210 a multiple of 222?
True
Does 14 divide 461959?
False
Does 66 divide 2494734?
True
Is 3 a factor of 154224?
True
Is 62 a factor of 268832?
True
Is 8597882 a multiple of 18?
False
Is 28558 a multiple of 258?
False
Is 13 a factor of 472079?
False
Does 71 divide 2222614?
False
Is 86128 a multiple of 15?
False
Does 13 divide 136851?
True
Is 247 a factor of 1998971?
True
Is 12 a factor of 5684222?
False
Does 52 divide 423073?
False
Does 30 divide 1595880?
True
Is 37 a factor of 3431454?
True
Does 51 divide 95047?
False
Does 40 divide 1729040?
True
Does 2 divide 1701?
False
Is 2304392 a multiple of 8?
True
Is 88 a factor of 693780?
False
Is 312 a factor of 68862?
False
Does 533 divide 7703449?
True
Is 93 a factor of 255088?
False
Does 5 divide 18445?
True
Does 38 divide 564798?
False
Is 12 a factor of 2344?
False
Does 33 divide 638476?
False
Does 245 divide 961422?
False
Is 101760 a multiple of 384?
True
Is 106 a factor of 7164964?
True
Is 107070 a multiple of 7?
False
Is 73 a factor of 186296?
True
Does 12 divide 450873?
False
Does 22 divide 420618?
True
Is 116 a factor of 79529?
False
Is 1119378 a multiple of 151?
False
Is 23 a factor of 1018578?
True
Does 555 divide 2801640?
True
Is 19035 a multiple of 81?
True
Does 2 divide 97308?
True
Does 85 divide 50099?
False
Does 17 divide 1365214?
False
Is 277641 a multiple of 339?
True
Is 1497941 a multiple of 3?
False
Is 80712 a multiple of 118?
True
Is 10694350 a multiple of 25?
True
Is 385 a factor of 129329?
False
Is 38 a factor of 1937696?
True
Does 47 divide 85164?
True
Is 102724 a multiple of 10?
False
Is 108 a factor of 119664?
True
Does 90 divide 15930?
True
Does 122 divide 243634?
True
Does 39 divide 129207?
True
Is 406 a factor of 3789939?
False
Is 20474544 a multiple of 48?
True
Is 376803 a multiple of 7?
True
Is 115 a factor of 48990?
True
Is 2 a factor of 276488?
True
Does 151 divide 10482118?
True
Is 54 a factor of 99742?
False
Is 7 a factor of 120645?
True
Is 29 a factor of 4503042?
False
Is 99283 a multiple of 101?
True
Is 43 a factor of 1004867?
True
Is 62 a factor of 379254?
True
Is 7573528 a multiple of 443?
True
Is 889228 a multiple of 131?
True
Does 28 divide 4298336?
True
Is 123291 a multiple of 21?
True
Is 88560 a multiple of 3?
True
Is 25333 a multiple of 13?
False
Is 700 a factor of 95890?
False
Is 9 a factor of 282927?
False
Is 351 a factor of 352404?
True
Is 25 a factor of 59250?
True
Is 265555 a multiple of 13?
False
Does 6 divide 207792?
True
Is 89 a factor of 648899?
True
Does 20 divide 1003730?
False
Is 18 a factor of 307619?
False
Does 190 divide 23687?
False
Is 361 a factor of 5614239?
False
Does 71 divide 172017?
False
Is 15 a factor of 13817466?
False
Does 79 divide 1167067?
True
Does 76 divide 50464?
True
Is 1181290 a multiple of 531?
False
Does 32 divide 1677568?
True
Is 55 a factor of 254650?
True
Is 129 a factor of 1614951?
True
Is 269 a factor of 141420?
False
Is 342590 a multiple of 40?
False
Is 655797 a multiple of 3?
True
Does 72 divide 425516?
False
Is 5 a factor of 4164?
False
Is 296160 a multiple of 57?
False
Does 17 divide 280432?
True
Does 92 divide 56396?
True
Does 38 divide 13332604?
True
Does 71 divide 5470374?
False
Is 17 a factor of 741897?
True
Does 13 divide 56166?
False
Is 160190 a multiple of 121?
False
Is 83409 a multiple of 98?
False
Does 54 divide 238601?
False
Is 305 a factor of 1865102?
False
Is 48829 a multiple of 16?
False
Is 31366 a multiple of 77?
False
Is 32867 a multiple of 113?
False
Is 1788935 a multiple of 5?
True
Is 1122732 a multiple of 52?
True
Is 25 a factor of 288000?
True
Is 17 a factor of 10124877?
True
Does 571 divide 604853?
False
Does 34 divide 547026?
True
Does 105 divide 692895?
True
Is 329295 a multiple of 145?
True
Does 33 divide 5718095?
False
Is 1429653 a multiple of 488?
False
Does 98 divide 10228192?
False
Does 7 divide 146113?
False
Does 117 divide 446711?
False
Does 643 divide | {
"pile_set_name": "DM Mathematics"
} |
Round -0.00000936239 to seven decimal places.
-0.0000094
Round 0.000001408021 to seven decimal places.
0.0000014
What is -0.000000745723 rounded to 7 dps?
-0.0000007
What is 1809310 rounded to the nearest 1000000?
2000000
Round 2.963858 to 2 dps.
2.96
Round -105.0316 to zero decimal places.
-105
Round -57543.024 to the nearest ten thousand.
-60000
Round 0.018886656 to 5 dps.
0.01889
What is 62049.24 rounded to the nearest ten?
62050
Round -6908.23 to the nearest one thousand.
-7000
What is 0.01844279 rounded to five dps?
0.01844
Round 0.1747361 to four decimal places.
0.1747
What is 429.2805 rounded to the nearest ten?
430
Round -0.000533584 to 4 decimal places.
-0.0005
Round -1661.1359 to 0 dps.
-1661
What is 0.000364849 rounded to six dps?
0.000365
Round 0.2691252 to two dps.
0.27
Round 198340280 to the nearest one million.
198000000
Round -826761 to the nearest one hundred thousand.
-800000
Round -0.0006926053 to five decimal places.
-0.00069
What is -0.0068181 rounded to two decimal places?
-0.01
What is 103.01372 rounded to the nearest integer?
103
Round -0.003824343 to 5 decimal places.
-0.00382
What is 1920260 rounded to the nearest 10000?
1920000
Round -7147900 to the nearest one hundred thousand.
-7100000
What is 0.00000240403 rounded to seven decimal places?
0.0000024
What is -14738.797 rounded to the nearest one hundred?
-14700
What is 855831 rounded to the nearest 1000?
856000
What is 0.000017142051 rounded to 6 dps?
0.000017
What is -1084.7798 rounded to zero dps?
-1085
Round 2439.8631 to the nearest 10.
2440
Round -0.0000748396 to five decimal places.
-0.00007
What is -2356.3033 rounded to the nearest 10?
-2360
What is 0.000012065 rounded to 4 dps?
0
What is -95659 rounded to the nearest 1000?
-96000
Round 0.000000146983 to seven decimal places.
0.0000001
Round -51309.17 to the nearest 10000.
-50000
Round -0.0292806 to 3 dps.
-0.029
Round -0.001907467 to five decimal places.
-0.00191
Round 18247.09 to the nearest one hundred thousand.
0
Round 0.001102349 to four dps.
0.0011
What is 8191038 rounded to the nearest 100000?
8200000
Round -0.0006448373 to 4 dps.
-0.0006
Round -0.000044027858 to seven decimal places.
-0.000044
What is 2080700 rounded to the nearest 100000?
2100000
What is 0.953677 rounded to three dps?
0.954
What is -0.234775 rounded to 2 dps?
-0.23
What is -0.008573759 rounded to 4 dps?
-0.0086
What is 26844970 rounded to the nearest one million?
27000000
Round -0.00751829 to 5 decimal places.
-0.00752
Round -0.4333602 to two decimal places.
-0.43
Round -309.807 to the nearest integer.
-310
What is 188782 rounded to the nearest ten thousand?
190000
Round 15941.64 to the nearest ten.
15940
What is 0.02640635 rounded to two dps?
0.03
Round -21817100 to the nearest one hundred thousand.
-21800000
Round -1262.3809 to the nearest one hundred.
-1300
What is 5500840 rounded to the nearest 100000?
5500000
What is 0.00000167401231 rounded to seven dps?
0.0000017
What is -0.0000000068004 rounded to seven dps?
0
What is -0.12276491 rounded to three decimal places?
-0.123
What is 59.917663 rounded to the nearest ten?
60
Round -172.1697 to 1 dp.
-172.2
What is -0.075256 rounded to two dps?
-0.08
What is -0.0000002008136 rounded to seven decimal places?
-0.0000002
What is -1017090 rounded to the nearest 100000?
-1000000
Round -67790 to the nearest ten thousand.
-70000
What is -37528.4 rounded to the nearest 100?
-37500
What is -661.9152 rounded to the nearest 10?
-660
What is -519.3111 rounded to the nearest one hundred?
-500
Round -1707.26 to the nearest 1000.
-2000
Round 37148.8 to the nearest 100.
37100
What is -1579.1 rounded to the nearest 1000?
-2000
What is 0.000057398124 rounded to 6 decimal places?
0.000057
Round 1548329.5 to the nearest 100000.
1500000
What is -0.14441237 rounded to three dps?
-0.144
Round -389.7029 to zero dps.
-390
What is 0.000139322 rounded to five dps?
0.00014
Round -175.2446 to one dp.
-175.2
Round 0.028983268 to four decimal places.
0.029
Round -33676.42 to the nearest 100.
-33700
Round -226.48915 to the nearest 100.
-200
Round 5165230 to the nearest one million.
5000000
What is 0.00016270008 rounded to five dps?
0.00016
What is 0.000046579 rounded to six dps?
0.000047
What is -2037.68 rounded to the nearest ten?
-2040
Round -3.8553247 to 1 dp.
-3.9
What is -5643.338 rounded to the nearest 1000?
-6000
What is -0.00201408 rounded to 4 decimal places?
-0.002
What is -628.02 rounded to the nearest one hundred?
-600
What is -0.0001171049 rounded to 4 dps?
-0.0001
What is 51850200 rounded to the nearest 1000000?
52000000
Round 0.07574868 to 3 decimal places.
0.076
Round -59683959 to the nearest 100000.
-59700000
What is 11489.04 rounded to the nearest 10?
11490
What is 1794.505 rounded to the nearest ten?
1790
What is -1.3795162 rounded to two decimal places?
-1.38
What is -789.594 rounded to the nearest 10?
-790
Round -25761.688 to the nearest one thousand.
-26000
What is -144498.23 rounded to the nearest 1000?
-144000
Round -0.00068481 to four dps.
-0.0007
What is 0.2971451 rounded to 1 dp?
0.3
Round 0.017891 to two dps.
0.02
What is 13668.413 rounded to the nearest 100?
13700
What is 0.00006776202 rounded to seven decimal places?
0.0000678
What is -0.196658 rounded to the nearest integer?
0
Round 0.0006079357 to five decimal places.
0.00061
What is -0.000007467073 rounded to seven dps?
-0.0000075
Round 564943.6 to the nearest one hundred thousand.
600000
Round 2.2174445 to 3 decimal places.
2.217
Round 0.63984004 to three decimal places.
0.64
Round -0.007756761 to four dps.
-0.0078
What is 113273.5 rounded to the nearest 10000?
110000
What is -27564.5 rounded to the nearest 10000?
-30000
What is 0.0630251 rounded to 4 dps?
0.063
Round 237805.6 to the nearest ten thousand.
240000
What is 38674900 rounded to the nearest 1000000?
39000000
Round -0.01335566 to 4 dps.
-0.0134
Round 0.00000119285822 to 7 decimal places.
0.0000012
Round 241.244 to the nearest 10.
240
What is 0.000571587 rounded to 6 dps?
0.000572
What is -6.851911 rounded to one decimal place?
-6.9
What is -4302290 rounded to the nearest one million?
-4000000
What is -0.000001422836 rounded to seven decimal places?
-0.0000014
What is 24260.484 rounded to the nearest one thousand?
24000
Round 0.00018317872 to 6 decimal places.
0.000183
What is 0.000306074 rounded to 6 dps?
0.000306
What is 0.0054810199 rounded to 4 dps?
0.0055
Round -0.00179898 to 5 decimal places.
-0.0018
What is -0.0000052971145 rounded to six dps?
-0.000005
Round 0.0000429631 to 5 dps.
0.00004
What is 5015970 rounded to the nearest one hundred thousand?
5000000
What is -7818995100 rounded to the nearest one million?
-7819000000
Round 1976230 to the nearest one thousand.
1976000
Round 0.0783132 to 3 dps.
0.078
What is 0.00031369176 rounded to five dps?
0.00031
Round -1144 to the nearest 100.
-1100
Round -1408.201 to the nearest integer.
-1408
Round 279945.42 to the nearest 1000.
280000
Round 11.3314 to the nearest ten.
10
What is 48539600 rounded to the nearest one hundred thousand?
48500000
Round 89034180 to the nearest one million.
89000000
What is -0.0001870281 rounded to four decimal places?
-0.0002
Round -1783426 to the nearest one thousand.
-1783000
Round -35590.93 to the nearest 10.
-35590
Round -1169.48 to the nearest 100.
-1200
What is 1.182127 rounded to 1 decimal place?
1.2
Round 0.020562406 to three decimal places.
0.021
Round -551336.1 to the nearest 1000.
-551000
Round 14245880 to the nearest 1000000.
14000000
Round -33813.63 to the nearest one thousand.
-34000
What is -94.3655 rounded to the nearest ten?
-90
What is 4517400 rounded to the nearest 10000?
4520000
Round -8748132000 to the nearest 1000000.
-8748000000
What is 0.0423286 rounded to four dps?
0.0423
What is 310.8571 rounded to the nearest one hundred?
300
Round 3.045013 to three decimal places.
3.045
What is 54035200 rounded to the nearest one hundred thousand?
54000000
What is -0.12270401 rounded to 4 decimal places?
-0.1227
What is -247525000 rounded to the nearest 100000?
-247500000
Round 1105068.9 to the nearest 100000.
1100000
What is -0.000065015 rounded to 7 decimal places?
-0.000065
What is 350.3619 rounded to 0 dps?
350
Round 916573 to the nearest one hundred thousand.
900000
Round -0 | {
"pile_set_name": "DM Mathematics"
} |
at are the prime factors of 3059?
7, 19, 23
List the prime factors of 13060.
2, 5, 653
List the prime factors of 80524.
2, 41, 491
List the prime factors of 2277.
3, 11, 23
List the prime factors of 144.
2, 3
What are the prime factors of 7037?
31, 227
List the prime factors of 1667.
1667
What are the prime factors of 122166?
2, 3, 11, 617
What are the prime factors of 3464?
2, 433
List the prime factors of 979.
11, 89
List the prime factors of 722.
2, 19
List the prime factors of 1683.
3, 11, 17
List the prime factors of 22276.
2, 5569
What are the prime factors of 1959?
3, 653
List the prime factors of 99545.
5, 43, 463
What are the prime factors of 247?
13, 19
List the prime factors of 5989.
53, 113
What are the prime factors of 826?
2, 7, 59
What are the prime factors of 35990?
2, 5, 59, 61
What are the prime factors of 6645?
3, 5, 443
List the prime factors of 616.
2, 7, 11
What are the prime factors of 12888?
2, 3, 179
List the prime factors of 3001.
3001
What are the prime factors of 8919?
3, 991
What are the prime factors of 11353?
11353
List the prime factors of 63.
3, 7
What are the prime factors of 64515?
3, 5, 11, 17, 23
List the prime factors of 5031.
3, 13, 43
What are the prime factors of 658?
2, 7, 47
What are the prime factors of 28916?
2, 7229
What are the prime factors of 1519?
7, 31
List the prime factors of 882.
2, 3, 7
What are the prime factors of 96260?
2, 5, 4813
What are the prime factors of 1581?
3, 17, 31
What are the prime factors of 586?
2, 293
What are the prime factors of 121?
11
List the prime factors of 43801.
43801
List the prime factors of 6247.
6247
What are the prime factors of 52055?
5, 29, 359
List the prime factors of 1979.
1979
List the prime factors of 12780.
2, 3, 5, 71
List the prime factors of 1083.
3, 19
What are the prime factors of 1145?
5, 229
List the prime factors of 41672.
2, 5209
List the prime factors of 4668.
2, 3, 389
What are the prime factors of 1454?
2, 727
What are the prime factors of 2261?
7, 17, 19
What are the prime factors of 9385?
5, 1877
List the prime factors of 437.
19, 23
What are the prime factors of 79276?
2, 19819
List the prime factors of 2244.
2, 3, 11, 17
List the prime factors of 1023.
3, 11, 31
What are the prime factors of 561?
3, 11, 17
List the prime factors of 73794.
2, 3, 7, 251
What are the prime factors of 2735?
5, 547
What are the prime factors of 10504?
2, 13, 101
List the prime factors of 3395.
5, 7, 97
What are the prime factors of 3009?
3, 17, 59
List the prime factors of 2255.
5, 11, 41
List the prime factors of 20158.
2, 10079
What are the prime factors of 11938?
2, 47, 127
What are the prime factors of 64502?
2, 32251
What are the prime factors of 11530?
2, 5, 1153
What are the prime factors of 624?
2, 3, 13
List the prime factors of 2142.
2, 3, 7, 17
List the prime factors of 5000.
2, 5
List the prime factors of 1403.
23, 61
What are the prime factors of 42?
2, 3, 7
What are the prime factors of 869?
11, 79
What are the prime factors of 4545?
3, 5, 101
What are the prime factors of 10233?
3, 379
List the prime factors of 4200.
2, 3, 5, 7
What are the prime factors of 25134?
2, 3, 59, 71
What are the prime factors of 19193?
17, 1129
What are the prime factors of 23291?
23291
What are the prime factors of 14521?
13, 1117
What are the prime factors of 1759?
1759
What are the prime factors of 33223?
33223
List the prime factors of 1177.
11, 107
List the prime factors of 626.
2, 313
List the prime factors of 6766.
2, 17, 199
List the prime factors of 31.
31
List the prime factors of 122.
2, 61
List the prime factors of 3619.
7, 11, 47
What are the prime factors of 794?
2, 397
What are the prime factors of 25338?
2, 3, 41, 103
What are the prime factors of 3749?
23, 163
What are the prime factors of 109472?
2, 11, 311
What are the prime factors of 9124?
2, 2281
What are the prime factors of 714?
2, 3, 7, 17
List the prime factors of 2532.
2, 3, 211
What are the prime factors of 4960?
2, 5, 31
What are the prime factors of 4889?
4889
What are the prime factors of 592?
2, 37
List the prime factors of 19370.
2, 5, 13, 149
What are the prime factors of 2426?
2, 1213
What are the prime factors of 811?
811
List the prime factors of 5941.
13, 457
List the prime factors of 31278.
2, 3, 13, 401
List the prime factors of 1903.
11, 173
What are the prime factors of 25747?
25747
List the prime factors of 6048.
2, 3, 7
What are the prime factors of 102888?
2, 3, 1429
List the prime factors of 29285.
5, 5857
List the prime factors of 3231.
3, 359
List the prime factors of 98814.
2, 3, 43, 383
What are the prime factors of 1572?
2, 3, 131
List the prime factors of 69954.
2, 3, 89, 131
List the prime factors of 211100.
2, 5, 2111
List the prime factors of 928.
2, 29
List the prime factors of 1451.
1451
What are the prime factors of 7002?
2, 3, 389
List the prime factors of 602.
2, 7, 43
List the prime factors of 2092.
2, 523
What are the prime factors of 1812?
2, 3, 151
What are the prime factors of 1704?
2, 3, 71
List the prime factors of 27403.
67, 409
List the prime factors of 1688.
2, 211
What are the prime factors of 1167?
3, 389
What are the prime factors of 78185?
5, 19, 823
What are the prime factors of 18159?
3, 6053
List the prime factors of 6699.
3, 7, 11, 29
List the prime factors of 10647.
3, 7, 13
What are the prime factors of 1385?
5, 277
List the prime factors of 1423.
1423
List the prime factors of 1699.
1699
What are the prime factors of 1023?
3, 11, 31
List the prime factors of 16361.
16361
List the prime factors of 149.
149
What are the prime factors of 54760?
2, 5, 37
List the prime factors of 43894.
2, 17, 1291
What are the prime factors of 11525?
5, 461
What are the prime factors of 40512?
2, 3, 211
What are the prime factors of 38931?
3, 19, 683
List the prime factors of 21115.
5, 41, 103
What are the prime factors of 1640?
2, 5, 41
List the prime factors of 7361.
17, 433
List the prime factors of 905.
5, 181
What are the prime factors of 34149?
3, 11383
What are the prime factors of 10047?
3, 17, 197
What are the prime factors of 5832?
2, 3
List the prime factors of 2358.
2, 3, 131
What are the prime factors of 87341?
167, 523
List the prime factors of 24431.
11, 2221
What are the prime factors of 27394?
2, 13697
List the prime factors of 68545.
5, 13709
List the prime factors of 111039.
3, 37013
List the prime factors of 199.
199
What are the prime factors of 8066?
2, 37, 109
List the prime factors of 143506.
2, 11, 593
What are the prime factors of 2856?
2, 3, 7, 17
What are the prime factors of 868?
2, 7, 31
List the prime factors of 6.
2, 3
What are the prime factors of 1001?
7, 11, 13
List the prime factors of 69813.
3, 7757
What are the prime factors of 1484?
2, 7, 53
List the prime factors of 3126.
2, 3, 521
List the prime factors of 4760.
2, 5, 7, 17
List the prime factors of 50364.
2, 3, 1399
What are the prime factors of 4445?
5, 7, 127
List the prime factors of 127711.
127711
List the prime factors of 1373.
1373
What are the prime factors of 167527?
233, 719
What are the prime factors of 63996?
2, 3, 5333
What are the prime factors of 625?
5
List the prime factors of 2979.
3, 331
List the prime factors of 4793.
4793
List the prime factors of 3807.
3, 47
What are the prime factors of 81881?
37, 2213
List the prime factors of 78015.
3, 5, 7, 743
List the prime factors of 3939.
3, 13, 101
List the prime factors of 51770.
2, 5, 31, 167
What are the prime factors of 709?
709
What are the prime factors of 1931?
1931
List the prime factors of 60123.
3, 7, 409
List the prime factors of 2156.
2, 7, 11
What are the prime factors of 1475?
5, 59
What are the prime factors of 6924?
2, 3, 577
List the prime factors of 1538.
2, 769
What are the prime factors of 3856?
2, 241
List the prime factors of 6351.
3, 29, 73
What are the prime factors of 197?
197
List the prime factors of 5783.
5783
List the prime factors of 41158.
2, 13, 1583
What are the prime factors of 5701?
5701
List the prime factors of 43.
43
List the prime factors of 3269.
7, 467
What are the prime factors of 932?
2, 233
List the prime factors of 1584.
2, 3, 11
List the prime factors of 11111.
41, 271
List the prime factors of 16479.
3, 1831
What are the prime factors of 2844?
2, 3 | {
"pile_set_name": "DM Mathematics"
} |
t a(w) = 14*w**2 + w**2 - 20*w**2 + 3*w**2 + 7*w**2. Let h(i) = 327*i. What is h(a(r))?
1635*r**2
Let p(w) = 4*w**2. Let x = 6383/1197 - -1/1197. Let l(v) be the first derivative of x*v**3 + 0*v**2 - 29 + 0*v. Give l(p(a)).
256*a**4
Let n(q) = 2*q**2 + 57. Let u(v) = -72*v - 71*v - 74*v + 292*v - 73*v. Determine n(u(m)).
8*m**2 + 57
Let x(o) = -557 - 5*o + 1126 - 613. Let h(v) = -4*v. Give h(x(m)).
20*m + 176
Let x(i) = -7*i - 691686 + 15*i + 691686 + 6*i. Let a be 10/(-15) + (-16)/(-6). Let c(f) = 4*f**2 - a*f**2 + 0*f**2. Give x(c(l)).
28*l**2
Let y(c) = 2*c**2. Let n(o) = -198*o + 421*o + 265*o + 277*o - 63*o. Give y(n(i)).
985608*i**2
Let i(b) = -b - 267. Let z(f) be the third derivative of f**4/12 + 29*f**2 - 35*f. Give z(i(y)).
-2*y - 534
Let i(g) = -704*g + 11 - 441*g + 1144*g. Let b(p) = -6*p**2. Calculate b(i(d)).
-6*d**2 + 132*d - 726
Let h(m) = m. Let s = -108 - -164. Let f(r) = -19*r - 23*r + 19 - 15*r + s*r. Calculate h(f(p)).
-p + 19
Let p(i) = 399578*i. Let o(j) = 286*j. What is o(p(f))?
114279308*f
Let q(k) = -2*k + 2. Let z(d) = 31*d**2 - 75*d**2 + 49*d**2 - 5. Calculate q(z(l)).
-10*l**2 + 12
Let q(w) = 18*w + 5. Let r(k) = 377*k + 104. Let b be -2 + (252/(-8))/((-4)/8). Let f = b - 66. Let x(j) = f*r(j) + 104*q(j). Let y(z) = 2*z. What is x(y(u))?
-26*u
Let z(m) = -3*m. Let g(c) be the second derivative of c**4/8 - 45*c**2 - 38*c + 1. Let j(v) be the first derivative of g(v). Calculate j(z(q)).
-9*q
Suppose 3319 - 599 = -40*l. Let i(v) = -153*v. Let f(b) = -2*b. Let r(w) = l*f(w) + i(w). Let h(d) = -2*d**2. Give r(h(t)).
34*t**2
Let z(m) = -m + 36. Let h be z(-4). Let b(i) = 16*i + 22*i - h*i. Let l(q) = -6*q. Determine b(l(t)).
12*t
Let g(i) = 16*i**2. Let f(b) = -5*b**2 + 4. Let d(u) = -6*u**2 + 5. Let n = -2302 + 2298. Let h = -10 - -15. Let c(m) = h*f(m) + n*d(m). Calculate g(c(o)).
16*o**4
Let c(p) = -8 - 2*p**2 - 6*p**2 + 8 + 4*p**2. Let j(q) = -6 + 2 + 4 + 1. Let h(s) = -7*s - 7. Let i(f) = h(f) + 7*j(f). What is c(i(r))?
-196*r**2
Let y(c) = 11109186*c. Let p(v) = 3*v. What is y(p(q))?
33327558*q
Let t(c) = -2*c - 1. Let u(h) = -5*h - 4. Let j(i) = -4*t(i) + u(i). Let z(q) = 0*q + 4*q - 17*q. Determine z(j(s)).
-39*s
Let o(y) = -y. Let u(c) = -177*c - 94*c**2 + 97*c**2 - 2*c**2. What is u(o(p))?
p**2 + 177*p
Let t(p) = -308*p**2 + 504*p + 1764. Let z(s) = s**2 - 2*s - 7. Let a(f) = -2*t(f) - 504*z(f). Let l(q) = -3*q**2. Give a(l(k)).
1008*k**4
Let y(v) be the second derivative of 0 - 1/6*v**3 + 0*v**2 - 15*v. Let w(z) be the second derivative of z**4/2 + 6*z. Calculate w(y(k)).
6*k**2
Let t(l) be the second derivative of -l**3/2 - l. Let o be 7*((-630)/(-49))/10. Let n(w) = 13*w**2 + o*w**2 - 37*w**2 + 14*w**2. Give t(n(m)).
3*m**2
Let m(p) = -9*p**2. Let u(n) = 998796*n. Give u(m(a)).
-8989164*a**2
Let a(b) = 4270*b**2 - 7*b. Let p(x) = 9*x - 3. Give p(a(i)).
38430*i**2 - 63*i - 3
Suppose -7546 - 5484 = -10*g. Let v(d) = 1303 - 35*d - g. Let h(z) = z + 3. Let b(q) = q + 2. Let t(j) = -6*b(j) + 4*h(j). Calculate t(v(f)).
70*f
Let z(b) = -b**2. Let w(i) be the second derivative of 2*i - 1/2*i**2 + 1 + 2/3*i**3. What is w(z(u))?
-4*u**2 - 1
Let q(x) be the first derivative of -x**3 - 12*x + 41167. Let l(y) be the third derivative of -y**4/24 - 2*y**2. What is q(l(o))?
-3*o**2 - 12
Let q(k) be the second derivative of -5*k**3/6 - k**2/2 - 2175*k. Let c(j) be the second derivative of j**4/6 - 3*j. Determine q(c(s)).
-10*s**2 - 1
Let t(j) = 742*j**2. Let a(x) = -2*x**2 - 61*x + 3. Give a(t(b)).
-1101128*b**4 - 45262*b**2 + 3
Let b(d) = 6*d - 39. Let m(a) = -259*a**2 + 59*a**2 + 62*a**2 + 69*a**2 + 55*a**2. Give b(m(c)).
-84*c**2 - 39
Let o(d) = -22*d. Let i(m) = -1. Let k(g) = -3*g - 6. Let f = -110 - -104. Let z(s) = f*i(s) + k(s). Give z(o(v)).
66*v
Let j(o) = -5*o**2 - 682*o - 18. Let x(t) = 11*t**2 + 1362*t + 39. Let g(s) = -13*j(s) - 6*x(s). Let w(l) = -l**2. What is g(w(v))?
-v**4 - 694*v**2
Let q(d) be the second derivative of -503*d**4/6 + d**3/3 + 2740*d. Let h(i) = -2*i. Calculate q(h(l)).
-4024*l**2 - 4*l
Let a(m) = 6*m**2 + 2*m - 2. Let o(x) = -19*x**2 - 7*x + 7. Let p(q) = 7*a(q) + 2*o(q). Let k(i) = 53*i. Give p(k(h)).
11236*h**2
Let m(j) = 4*j**2. Let k(c) be the second derivative of 0 + 0*c**2 - 39*c + 0*c**3 - 5/2*c**4. Calculate k(m(f)).
-480*f**4
Let p(d) be the third derivative of 51*d**2 + 0 + 1/12*d**4 + 0*d + 0*d**3. Let x(l) be the third derivative of 7*l**5/12 + 17*l**2. Give p(x(i)).
70*i**2
Let k(g) = 669*g**2. Let h(m) = 7008*m. Calculate h(k(u)).
4688352*u**2
Let j(i) = 325*i - 51. Let u(g) = 9*g - 4. Give u(j(o)).
2925*o - 463
Let g(o) = o**2 - 6286678. Let h(u) = 13*u. Determine h(g(x)).
13*x**2 - 81726814
Let y(g) = -20*g**2. Let c(d) be the first derivative of -5*d**2 - 2*d + 1634. What is y(c(a))?
-2000*a**2 - 800*a - 80
Let o(t) = t. Let q(j) be the second derivative of j**3/3 + 45*j. Let d(g) = -8*o(g) + 3*q(g). Let f(m) = -9*m**2 - 4*m**2 + m**2. Determine f(d(b)).
-48*b**2
Let w(o) be the first derivative of 5 - 10/3*o**3 - 8*o + 0*o**2. Let j(t) be the first derivative of w(t). Let s(y) = -y. What is s(j(n))?
20*n
Let k(a) = 359*a**2. Let b(h) = -13*h - 9*h + 43*h - 6*h - 9*h. Calculate k(b(q)).
12924*q**2
Let q(g) = -2207*g**2. Let x(b) = 13*b**2 + 13*b**2 - 4 + 4 - 25*b**2. Calculate x(q(m)).
4870849*m**4
Let j(z) = -2*z**2. Let s(l) be the second derivative of l**4/12 - 80*l**3/3 + 2*l + 35. Give s(j(k)).
4*k**4 + 320*k**2
Let z(v) = 23*v**2. Let i(y) = -7*y**2 - 56. Let g = -69 + 41. Let t(a) = -2. Let w(k) = g*t(k) + i(k). Calculate w(z(s)).
-3703*s**4
Let c(d) = 626*d + 628*d - 1199*d. Let z(v) = 14*v. Suppose -5*o - 7 = -4*j + 47, o - 42 = -4*j. Let q(i) = j*z(i) - 3*c(i). Let u(s) = 2*s. Determine u(q(x)).
-22*x
Let h(j) = -2*j**2 - 9*j + 8. Let g be h(-5). Let q(f) = 36*f**2 + 16*f**2 + 8*f**2 + g*f**2. Let z(s) = -2*s**2. Determine q(z(i)).
252*i**4
Let t(k) = 20*k. Let l(h) be the first derivative of -17*h**2 + h + 2223. Calculate l(t(w)).
-680*w + 1
Let q(i) = 2*i**2 + 3*i. Let t(o) be the third derivative of o**4/12 - o**3 + o**2 + 5*o + 49. Calculate t(q(k)).
4*k**2 + 6*k - 6
Let o(p) = -4*p**2 + 4*p**2 + 0*p**2 + 2*p**2. Let a(v) be the third derivative of 39*v**2 - 2*v + 0*v**3 + 0 + 5/12*v**4. Calculate a(o(d)).
20*d**2
Let u(z) = -2*z. Let y be 68*((-1)/2 - -2). Let m = -101 + y. Let q(p) = p + 1. Let i(s) = 39*s**2 + s - 1. Let a(r) = m*q(r) + i(r). Give a(u(v)).
156*v**2 - 4*v
Let o(m) = -3*m - 4. Let s(c) = 3*c + 3. Let w(l) = 3*o(l) + 4*s(l). Let f(z) be the second derivative of 161*z**3/6 + 144008*z. Give f(w(j)).
483*j
Let r(h) = -3763*h. Let u(j) be the first derivative of 2*j**3/3 + 2314. What is u(r(a))?
28320338*a**2
Let y(n) = -3*n**2. Let j(u) be the third derivative of -629*u**4/8 + 2*u**2 + 403*u - 3. Determine y(j(k)).
-10682307*k**2
Let a(v) = -2*v**2 + 9*v. Let g(j) = 83*j + 7644. Calculate g(a(d)).
-166*d**2 + 747*d + 7644
Let o(f) be the third derivative of -1/8*f**4 + 0*f + 0*f**3 + 0 + 70*f**2. Let r(d) = -26*d**2. Give r(o(k)).
-234*k**2
Let d(a) be the first derivative of -3*a**2 - 3*a - 10645. Let p(h) = -19*h - 3. What is d(p(y))?
114*y + 15
Let u(p) = 2*p**3 - 17*p**2 + 30*p - 122. Let l be u(11). Let x(m) = -812*m**2 - 3 + l*m**2 + 3. Let q(a) = -486*a**2. Determine q(x(t)).
-486*t**4
Let v(g) be the second derivative of g**4/3 + 2*g + 373. Let u(m) = -m + 68. Give v(u(f)).
4*f**2 - 544*f + 18496
Let k(v) = -v. Let s(c) = -11416406*c. What is k(s(d))?
11416406*d
Let r be (-1 - 2)/((-9)/6). Let k(q) = 6 + 3*q**r - 6. Let m(o) be the third derivative of -3*o**4/8 - 15216*o**2. Determine m(k(i)).
-27*i**2
Let v(g) = -2986580*g**2. Let i(b) = -120*b. Give v(i(x)).
-43006752000*x**2
Let b(d) = 3*d**2. Suppose 86 = 32*f + 22. Let n(a) = -a - 1231 + 1231 - f*a. Calculate n(b(t)).
-9*t**2
Let z(l) = 3*l. Let q(a) = -2*a - 5751*a**2 + 4083*a**2 + 2*a. Calculate q(z(d)).
-15012*d**2
Let p(r) = -2*r**2. Let i(g) be the first derivative of 101 - 31*g**2 - 39*g**2 - 185*g + 106*g**2 - 37*g**2. Calculate p(i(j)).
-8*j**2 - 1480*j - 68450
Let x(c) = 6*c - 18. Let z(n) = -4*n + 13. Let q(a) = 5*x(a) + 7*z(a). Let f(g) = -1. Let p(y) = -5*f(y) - 5*q(y). Let v(o) = -8*o**2. Calculate p(v(l)).
80*l**2
Let k(p) = -6*p**2 - 4*p. Let g(h) = -6*h**2 - 3*h. | {
"pile_set_name": "DM Mathematics"
} |
9624955, 12031198?
2406243*p - 17
What is the f'th term of 435, 1436, 3073, 5346, 8255, 11800?
318*f**2 + 47*f + 70
What is the i'th term of 697209, 1394447, 2091685, 2788923, 3486161, 4183399?
697238*i - 29
What is the o'th term of -2577623, -5155248, -7732873, -10310498?
-2577625*o + 2
What is the r'th term of 985914, 985907, 985900, 985893, 985886?
-7*r + 985921
What is the i'th term of -9278, -19682, -30094, -40514, -50942?
-4*i**2 - 10392*i + 1118
What is the u'th term of 23276654, 23276652, 23276650?
-2*u + 23276656
What is the f'th term of -14886, -61382, -138872, -247356?
-15497*f**2 - 5*f + 616
What is the g'th term of 3819, 15011, 33663, 59775, 93347, 134379?
3730*g**2 + 2*g + 87
What is the g'th term of -740576, -1481124, -2221660, -2962184, -3702696, -4443196?
6*g**2 - 740566*g - 16
What is the d'th term of -9058, -36671, -82690, -147115?
-9203*d**2 - 4*d + 149
What is the q'th term of -267, -131, 131, 567, 1225, 2153, 3399?
8*q**3 + 15*q**2 + 35*q - 325
What is the c'th term of 579643, 2318541, 5216699, 9274117, 14490795, 20866733?
579630*c**2 + 8*c + 5
What is the m'th term of -21863187, -21863189, -21863191, -21863193, -21863195?
-2*m - 21863185
What is the u'th term of 284089, 1136337, 2556741, 4545301, 7102017, 10226889?
284078*u**2 + 14*u - 3
What is the y'th term of 591, 482, 373, 264, 155, 46?
-109*y + 700
What is the s'th term of -22835, -45187, -67527, -89849, -112147, -134415?
s**3 - 22359*s - 477
What is the f'th term of -413972651, -413972654, -413972659, -413972666?
-f**2 - 413972650
What is the f'th term of 97582846, 97582839, 97582832, 97582825, 97582818, 97582811?
-7*f + 97582853
What is the t'th term of 7571896, 7571897, 7571898?
t + 7571895
What is the i'th term of -13738, -26720, -48358, -78652, -117602, -165208, -221470?
-4328*i**2 + 2*i - 9412
What is the j'th term of -332303, -332216, -331997, -331580, -330899, -329888?
11*j**3 + 10*j - 332324
What is the i'th term of -72, -1244, -4446, -10692, -20996?
-169*i**3 - i**2 + 14*i + 84
What is the m'th term of -2649, -2602, -2565, -2544, -2545?
-m**3 + m**2 + 51*m - 2700
What is the n'th term of 253, 1118, 2585, 4654, 7325, 10598, 14473?
301*n**2 - 38*n - 10
What is the m'th term of 4461475, 35691766, 120459697, 285534088, 557683759, 963677530, 1530284221, 2284272652?
4461470*m**3 + m + 4
What is the a'th term of -178450, -356882, -535308, -713728, -892142, -1070550?
3*a**2 - 178441*a - 12
What is the p'th term of -13610, -5987, 6718, 24505, 47374, 75325?
2541*p**2 - 16151
What is the x'th term of -60285, -62721, -65161, -67605?
-2*x**2 - 2430*x - 57853
What is the v'th term of 3837, 14278, 31351, 55050, 85369?
-v**3 + 3322*v**2 + 482*v + 34
What is the x'th term of -171924, -170961, -170000, -169041, -168084, -167129, -166176?
-x**2 + 966*x - 172889
What is the q'th term of 2816451, 2816457, 2816465, 2816475?
q**2 + 3*q + 2816447
What is the v'th term of 1086, 2193, 3294, 4389?
-3*v**2 + 1116*v - 27
What is the g'th term of -1141656, -2284268, -3426880, -4569492?
-1142612*g + 956
What is the l'th term of -2093, -3051, -3995, -4925, -5841, -6743?
7*l**2 - 979*l - 1121
What is the p'th term of -1930, -8132, -18468, -32938?
-2067*p**2 - p + 138
What is the q'th term of 15770, 25608, 35446?
9838*q + 5932
What is the u'th term of -16902220, -16902244, -16902266, -16902286?
u**2 - 27*u - 16902194
What is the v'th term of -1658130, -1658164, -1658228, -1658328, -1658470, -1658660, -1658904, -1659208?
-v**3 - 9*v**2 - 1658120
What is the s'th term of 4446, 9038, 13630, 18222?
4592*s - 146
What is the q'th term of -9605, -9526, -9445, -9368, -9301, -9250?
-q**3 + 7*q**2 + 65*q - 9676
What is the q'th term of 20300, 21009, 22196, 23861?
239*q**2 - 8*q + 20069
What is the h'th term of -46300657, -185202638, -416705939, -740810560, -1157516501?
-46300660*h**2 - h + 4
What is the f'th term of -4792, -2938, -1070, 818, 2732, 4678, 6662, 8690?
f**3 + f**2 + 1844*f - 6638
What is the b'th term of 119657, 241273, 362889, 484505, 606121?
121616*b - 1959
What is the m'th term of 836, 3565, 10856, 24953, 48100, 82541?
374*m**3 + 37*m**2 + 425
What is the o'th term of -512845, -1025655, -1538467, -2051281?
-o**2 - 512807*o - 37
What is the m'th term of 23052, 46031, 69010?
22979*m + 73
What is the l'th term of 252062, 504056, 756050?
251994*l + 68
What is the z'th term of -121494, -243267, -365310, -487623, -610206?
-135*z**2 - 121368*z + 9
What is the n'th term of -30511, -60579, -90647, -120715?
-30068*n - 443
What is the h'th term of 4386, 8470, 12554, 16638, 20722, 24806?
4084*h + 302
What is the f'th term of 86660263, 86660264, 86660265, 86660266, 86660267, 86660268?
f + 86660262
What is the r'th term of 8588953, 17177925, 25766895, 34355863, 42944829, 51533793, 60122755?
-r**2 + 8588975*r - 21
What is the c'th term of 101, 72, -257, -1114, -2727, -5324, -9133?
-38*c**3 + 78*c**2 + 3*c + 58
What is the x'th term of 261918, 523867, 785816, 1047765, 1309714, 1571663?
261949*x - 31
What is the r'th term of -3545599, -14182515, -31910709, -56730181, -88640931, -127642959?
-3545639*r**2 + r + 39
What is the f'th term of -11893, -11024, -10155, -9286, -8417, -7548?
869*f - 12762
What is the f'th term of -802158, -1604557, -2406956?
-802399*f + 241
What is the y'th term of 51902, 51810, 51720, 51632, 51546, 51462?
y**2 - 95*y + 51996
What is the m'th term of 7220, 8493, 9762, 11027?
-2*m**2 + 1279*m + 5943
What is the w'th term of -61218, -122470, -183718, -244962, -306202?
2*w**2 - 61258*w + 38
What is the l'th term of 1843, 4252, 8269, 13894, 21127, 29968?
804*l**2 - 3*l + 1042
What is the d'th term of -4864, -19838, -44960, -80230?
-5074*d**2 + 248*d - 38
What is the a'th term of 548, 634, 802, 1064, 1432, 1918?
2*a**3 + 29*a**2 - 15*a + 532
What is the t'th term of -29287255, -29287258, -29287261, -29287264, -29287267, -29287270?
-3*t - 29287252
What is the o'th term of -186996, -747938, -1682850, -2991738, -4674608, -6731466, -9162318, -11967170?
-o**3 - 186979*o**2 + 2*o - 18
What is the p'th term of 833, 705, 911, 1619, 2997, 5213, 8435, 12831?
28*p**3 - p**2 - 321*p + 1127
What is the f'th term of 13980, 27606, 41228, 54846, 68460?
-2*f**2 + 13632*f + 350
What is the h'th term of -37257, -148979, -335173, -595833, -930953?
h**3 - 37242*h**2 - 3*h - 13
What is the u'th term of -696166, -694459, -691608, -687607, -682450, -676131, -668644?
u**3 + 566*u**2 + 2*u - 696735
What is the d'th term of 17514, 17522, 17498, 17442?
-16*d**2 + 56*d + 17474
What is the b'th term of -220409, -440870, -661333, -881798, -1102265?
-b**2 - 220458*b + 50
What is the m'th term of 3377, 6722, 10025, 13268, 16433, 19502, 22457, 25280?
-3*m**3 - 3*m**2 + 3375*m + 8
What is the g'th term of -6076935, -6076916, -6076885, -6076842, -6076787?
6*g**2 + g - 6076942
What is the k'th term of 494158, 988329, 1482500, 1976671, 2470842?
494171*k - 13
What is the m'th term of -4306, -4465, -4722, -5077, -5530, -6081, -6730?
-49*m**2 - 12*m - 4245
What is the k'th term of -120457, -240936, -361415, -481894, -602373?
-120479*k + 22
What is the h'th term of -31461, -62657, -93853, -125049, -156245, -187441?
-31196*h - 265
What is the l'th term of -5016, -27310, -64466, -116484, -183364, -265106?
-7431*l**2 - l + 2416
What is the m'th term of 14048, 27975, 41902, 55829, 69756, 83683?
13927*m + 121
What is the a'th term of -6994253, -6994250, -6994247, -6994244?
3*a - 6994256
What is the x'th term of -9384, -9566, -9790, -10056, -10364?
-21*x**2 - 119*x - 9244
What is the b'th term of 12620, 12098, 11576, 11048, 10508, 9950?
-b**3 + 6*b**2 - 533*b + 13148
What is the b'th term of -23855, -48071, -72283, -96491?
2*b**2 - 24222*b + 365
What is the v'th term of -84951033, -169902064, -254853095, -339804126, -424755157?
-84951031*v - 2
What is the r'th term of -2470, -5659, -8770, -11803, -14758?
39*r**2 - 3306*r + 797
What is the w'th term of 11691117, 23382205, 35073293, 46764381, 58455469?
11691088*w + 29
What is the i'th term of 8029, 6889, 4993, 2347, -1043, -5171, -10031?
i**3 - 384*i**2 + 5*i + 8407
What is the a'th term of -26617, -51554, -73133, -89674, -99497?
280*a**3 - a**2 - 26894*a - 2
What is the w'th term of 24976, 48467, 71958, 95449, 118940, 142431?
23491*w + 1485
What is the f'th term of -34389, - | {
"pile_set_name": "DM Mathematics"
} |
culate the highest common factor of 180 and 48876.
12
Calculate the highest common divisor of 943 and 2009.
41
What is the greatest common factor of 2263 and 7373?
73
What is the highest common factor of 1890 and 30105?
135
What is the highest common divisor of 1224 and 4296?
24
Calculate the highest common factor of 23644 and 552.
92
What is the greatest common factor of 1196 and 22425?
299
What is the greatest common divisor of 13534 and 11514?
202
What is the highest common divisor of 582 and 28?
2
Calculate the highest common factor of 396 and 1035628.
44
Calculate the highest common factor of 196791 and 21.
21
Calculate the greatest common divisor of 3979 and 9515.
173
Calculate the greatest common divisor of 423 and 896619.
141
What is the highest common factor of 9 and 6630?
3
Calculate the greatest common divisor of 86 and 4994278.
86
Calculate the greatest common divisor of 2000 and 242500.
500
Calculate the highest common factor of 23380 and 4340.
140
Calculate the greatest common factor of 199282 and 222.
74
Calculate the highest common divisor of 30 and 2394.
6
What is the highest common divisor of 319 and 8265?
29
Calculate the greatest common divisor of 7557 and 264.
33
What is the highest common divisor of 3681 and 16769?
409
Calculate the highest common divisor of 25045 and 15.
5
What is the highest common factor of 4301 and 23851?
391
Calculate the greatest common factor of 3348 and 4367466.
1674
What is the greatest common factor of 95940 and 1107?
369
What is the greatest common factor of 48 and 121152?
48
Calculate the greatest common divisor of 294 and 831.
3
Calculate the highest common factor of 8 and 1246108.
4
What is the highest common divisor of 494780 and 1384?
692
Calculate the greatest common factor of 4142 and 114.
38
Calculate the highest common factor of 314 and 82739.
157
Calculate the greatest common factor of 9 and 693972.
9
Calculate the highest common factor of 171 and 445987.
19
Calculate the highest common divisor of 265734 and 294.
42
What is the highest common divisor of 314001 and 36?
9
Calculate the greatest common divisor of 1575 and 172025.
175
Calculate the highest common divisor of 102 and 7327.
17
What is the highest common factor of 74220 and 300?
60
What is the highest common factor of 23233 and 119?
7
What is the greatest common divisor of 80464 and 20972?
428
Calculate the highest common factor of 6789 and 2511.
93
What is the greatest common divisor of 15 and 22595?
5
What is the greatest common factor of 13897 and 2873?
13
Calculate the highest common factor of 311286 and 174.
174
What is the highest common divisor of 209332 and 708?
236
What is the greatest common factor of 825417 and 1026?
513
Calculate the highest common factor of 3107 and 1261.
13
What is the highest common divisor of 576166 and 310?
62
What is the greatest common factor of 489341 and 597?
199
Calculate the highest common divisor of 84 and 21336.
84
Calculate the greatest common factor of 217347 and 26.
13
What is the greatest common factor of 1510 and 244318?
302
What is the greatest common divisor of 213373 and 31?
31
What is the highest common factor of 1073532 and 3288?
1644
Calculate the highest common divisor of 4429 and 75499.
103
What is the highest common factor of 427 and 10858?
61
What is the greatest common divisor of 7560 and 820?
20
What is the highest common divisor of 114 and 2904?
6
What is the greatest common divisor of 5874 and 641334?
534
What is the greatest common divisor of 30052 and 55?
11
What is the greatest common divisor of 69150 and 2250?
150
What is the highest common divisor of 454 and 261731?
227
Calculate the greatest common factor of 1825 and 440920.
365
What is the highest common factor of 45128 and 144?
8
What is the greatest common factor of 1110 and 2955?
15
Calculate the highest common divisor of 64 and 2672.
16
What is the greatest common divisor of 1220 and 47092?
244
Calculate the greatest common divisor of 121905 and 6885.
405
Calculate the highest common divisor of 19126 and 3406.
262
What is the highest common divisor of 17640 and 77?
7
Calculate the greatest common divisor of 4700 and 541675.
1175
What is the greatest common divisor of 2035 and 4255?
185
Calculate the greatest common factor of 1863 and 17664.
69
Calculate the highest common factor of 396 and 305892.
36
What is the highest common factor of 546290 and 40?
10
What is the greatest common divisor of 3827 and 129406?
89
Calculate the greatest common factor of 2796 and 1704.
12
What is the highest common factor of 12 and 139476?
12
What is the highest common factor of 378426 and 354?
354
Calculate the highest common factor of 65152 and 126741.
509
What is the highest common divisor of 26144 and 43301?
817
Calculate the highest common factor of 55918 and 20682.
766
What is the greatest common factor of 12028 and 32?
4
What is the highest common factor of 11842 and 3247?
191
Calculate the highest common divisor of 1052622 and 772.
386
Calculate the greatest common factor of 30 and 7405.
5
What is the highest common factor of 147 and 54145?
49
Calculate the highest common factor of 351 and 793.
13
What is the greatest common factor of 55 and 3090967?
11
What is the greatest common factor of 28379 and 416?
13
What is the highest common divisor of 2747628 and 216?
108
What is the highest common divisor of 197253 and 8091?
279
What is the greatest common factor of 12015 and 117?
9
What is the highest common factor of 87842 and 3682?
526
What is the greatest common divisor of 310368 and 16?
16
What is the greatest common factor of 4878 and 715982?
542
Calculate the highest common divisor of 418 and 71236.
22
What is the highest common divisor of 92 and 444?
4
Calculate the greatest common factor of 54869 and 3.
1
What is the highest common factor of 665 and 6606775?
665
What is the highest common divisor of 237 and 34760?
79
Calculate the greatest common divisor of 153 and 437427.
153
Calculate the greatest common divisor of 50138 and 44.
22
Calculate the highest common factor of 42 and 16359.
21
What is the highest common divisor of 38 and 336338?
38
Calculate the greatest common factor of 3296893 and 998.
499
Calculate the greatest common divisor of 13648 and 2768.
16
What is the greatest common factor of 22589 and 49?
49
Calculate the highest common divisor of 299 and 267122.
23
Calculate the greatest common factor of 5451 and 23.
23
Calculate the greatest common factor of 82 and 1134962.
82
Calculate the highest common factor of 10180 and 340.
20
What is the highest common factor of 140 and 323855?
35
What is the greatest common divisor of 9538270 and 70?
70
What is the greatest common factor of 425 and 125?
25
What is the highest common divisor of 18 and 87258?
6
What is the highest common factor of 39 and 1636167?
39
What is the highest common divisor of 611 and 893?
47
Calculate the greatest common factor of 12587 and 921.
307
What is the greatest common divisor of 139 and 745040?
139
Calculate the highest common divisor of 54564 and 4.
4
Calculate the greatest common factor of 7921968 and 48.
48
Calculate the highest common factor of 1720 and 224288.
344
What is the greatest common factor of 840 and 9630?
30
Calculate the highest common divisor of 368 and 5842.
46
What is the highest common factor of 62031 and 276?
69
What is the highest common divisor of 841 and 2036061?
841
Calculate the highest common divisor of 93290 and 38.
38
Calculate the highest common factor of 1852690 and 5.
5
Calculate the highest common divisor of 4 and 6283.
1
Calculate the greatest common factor of 38304 and 81312.
672
Calculate the greatest common divisor of 1551143 and 1012.
253
What is the highest common divisor of 208 and 128?
16
Calculate the highest common factor of 372813 and 123.
123
What is the highest common divisor of 130 and 1740?
10
What is the highest common divisor of 4641 and 39559?
221
Calculate the greatest common factor of 339 and 16206573.
339
Calculate the greatest common divisor of 6650770 and 343.
343
What is the greatest common divisor of 912 and 17214?
114
Calculate the greatest common divisor of 24358 and 76.
38
Calculate the highest common factor of 2112 and 76164.
132
Calculate the highest common fac | {
"pile_set_name": "DM Mathematics"
} |
-28 and 63/212?
212
Calculate the common denominator of 11/50 and -19/100.
100
What is the common denominator of 69/196 and 107/308?
2156
What is the least common multiple of 392 and 441?
3528
What is the least common multiple of 1652 and 1416?
9912
What is the smallest common multiple of 175 and 490?
2450
What is the least common multiple of 2 and 16?
16
What is the lowest common multiple of 8 and 533?
4264
Calculate the smallest common multiple of 7 and 3653.
25571
Find the common denominator of -23/20 and 1/2732.
13660
What is the common denominator of 145/12474 and -67/10692?
74844
What is the least common multiple of 140 and 476?
2380
Calculate the lowest common multiple of 100 and 20.
100
What is the smallest common multiple of 21 and 498?
3486
Calculate the common denominator of 83/18 and 7/828.
828
Find the common denominator of -79/22 and 125/102.
1122
What is the common denominator of 35/48 and -119/162?
1296
Find the common denominator of -49/1908 and -65/252.
13356
Calculate the common denominator of -139/192 and 1/9.
576
What is the lowest common multiple of 9 and 732?
2196
Calculate the common denominator of 67/6384 and -59/224.
12768
Calculate the lowest common multiple of 869 and 553.
6083
Calculate the common denominator of 83/1828 and 20/11.
20108
Calculate the smallest common multiple of 308 and 3619.
14476
What is the common denominator of 113/18 and -39/128?
1152
Find the common denominator of -41/85 and -7/25.
425
Find the common denominator of -26/45 and 111/20.
180
Find the common denominator of -1/2443 and -113/4188.
29316
What is the smallest common multiple of 900 and 275?
9900
What is the common denominator of -68/3 and 97/8?
24
Calculate the common denominator of -4 and -77/5084.
5084
Find the common denominator of -47/10 and 7/397.
3970
Find the common denominator of 47/14 and 5/388.
2716
Calculate the common denominator of -79/10 and -103/1500.
1500
Calculate the lowest common multiple of 387 and 645.
1935
Calculate the least common multiple of 21 and 33.
231
What is the lowest common multiple of 588 and 4?
588
Find the common denominator of 127/30 and 131/70.
210
What is the common denominator of 13/291 and 35/6?
582
Calculate the common denominator of 77/10 and 65/816.
4080
What is the smallest common multiple of 28 and 284?
1988
What is the common denominator of 155/444 and 52/21?
3108
Calculate the common denominator of -53/412 and 103/14.
2884
What is the common denominator of -40/381 and 3/1270?
3810
Calculate the least common multiple of 532 and 1330.
2660
Calculate the smallest common multiple of 36 and 134.
2412
Calculate the least common multiple of 3 and 114.
114
What is the lowest common multiple of 2320 and 1450?
11600
What is the common denominator of 167/60 and 113/108?
540
Calculate the common denominator of -62/9 and 117/10.
90
What is the lowest common multiple of 27 and 9?
27
What is the common denominator of -37/136 and -63/34?
136
Find the common denominator of 103/476 and 89/432.
51408
Calculate the common denominator of 44/9 and 19/70.
630
Calculate the lowest common multiple of 20 and 234.
2340
What is the common denominator of -45/16 and -157/60?
240
Find the common denominator of 1/208 and 113/156.
624
What is the smallest common multiple of 2 and 83?
166
What is the lowest common multiple of 854 and 610?
4270
What is the least common multiple of 6 and 42?
42
What is the lowest common multiple of 132 and 1122?
2244
Calculate the smallest common multiple of 24 and 24.
24
Calculate the common denominator of 7/261 and -19/24.
2088
Calculate the lowest common multiple of 1510 and 1661.
16610
Calculate the smallest common multiple of 465 and 21.
3255
What is the common denominator of 53/200 and -89/7700?
15400
Calculate the smallest common multiple of 66 and 3.
66
What is the common denominator of 37/1410 and -53/40?
5640
Calculate the least common multiple of 2160 and 720.
2160
Calculate the common denominator of -37/14 and 7/38.
266
Find the common denominator of -1/112 and -117/28.
112
Calculate the common denominator of -101/8 and -59/144.
144
Calculate the lowest common multiple of 2589 and 39.
33657
What is the common denominator of 113/3066 and 1/12?
6132
Find the common denominator of -79/7840 and -71/10976.
54880
Calculate the smallest common multiple of 50 and 80.
400
Calculate the common denominator of -73/66 and -5/153.
3366
Calculate the common denominator of 17/804 and 9/2.
804
What is the smallest common multiple of 456 and 171?
1368
Find the common denominator of 57/1096 and -25/284.
77816
Calculate the common denominator of -97/2184 and 29/67.
146328
Find the common denominator of 13/24 and 36.
24
What is the least common multiple of 236 and 10?
1180
Calculate the lowest common multiple of 948 and 12.
948
What is the lowest common multiple of 312 and 520?
1560
Calculate the common denominator of 44/2839 and 14/9.
25551
Find the common denominator of 16/191 and 8/3.
573
What is the smallest common multiple of 2100 and 420?
2100
Calculate the common denominator of -139/7074 and -43/6.
7074
Calculate the smallest common multiple of 65 and 100.
1300
Calculate the least common multiple of 8 and 210.
840
What is the common denominator of 109/10 and -13/261?
2610
Calculate the common denominator of 41/20 and -19/4175.
16700
Calculate the smallest common multiple of 896 and 2016.
8064
What is the lowest common multiple of 28 and 7?
28
Calculate the common denominator of 21/65 and 92/195.
195
Calculate the lowest common multiple of 41 and 3.
123
What is the lowest common multiple of 36 and 18?
36
Calculate the smallest common multiple of 5 and 421.
2105
What is the common denominator of 10 and -17/304?
304
Calculate the least common multiple of 45 and 18.
90
What is the lowest common multiple of 2494 and 3?
7482
Calculate the least common multiple of 42 and 134.
2814
Find the common denominator of -31/14952 and -83/672.
59808
Calculate the common denominator of -99/2282 and -19/163.
2282
Find the common denominator of 35/1464 and -151/366.
1464
What is the least common multiple of 6 and 18?
18
Calculate the common denominator of -65/9 and 25/6.
18
Calculate the common denominator of -103/42 and -51/49.
294
What is the smallest common multiple of 891 and 1215?
13365
What is the common denominator of -109/24 and 83/12?
24
What is the lowest common multiple of 1958 and 1246?
13706
Calculate the least common multiple of 390 and 780.
780
What is the common denominator of -67/88 and 63/40?
440
Calculate the common denominator of 83/75 and -40/729.
18225
What is the smallest common multiple of 269 and 538?
538
Calculate the smallest common multiple of 38 and 640.
12160
What is the lowest common multiple of 33450 and 27?
301050
Calculate the common denominator of 43/1176 and -47/18.
3528
What is the lowest common multiple of 128 and 24?
384
What is the smallest common multiple of 39 and 255?
3315
Calculate the lowest common multiple of 94 and 22.
1034
Calculate the smallest common multiple of 186 and 4.
372
Calculate the lowest common multiple of 28 and 72.
504
Find the common denominator of 25/4257 and 34/4257.
4257
Calculate the least common multiple of 3 and 9.
9
Calculate the common denominator of 4/4851 and 95/4312.
38808
Calculate the least common multiple of 17 and 78.
1326
What is the common denominator of -3/26 and -25/7?
182
What is the smallest common multiple of 1356 and 16?
5424
What is the smallest common multiple of 10 and 800?
800
Calculate the least common multiple of 658 and 8.
2632
Find the common denominator of -1/92 and -85/784.
18032
What is the common denominator of -37/345 and 11/57?
6555
What is the lowest common multiple of 5390 and 11?
5390
What is the least common multiple of 504 and 252?
504
Calculate the least common multiple of 11 and 234.
2574
What is the common denominator of 143/372 and 17/558?
1116
Calculate the common denominator of -121/54 and -127/12.
108
Calculate the least common multiple of 54 and 2.
54
Calculate the common denominator of 25/3141 and -71/21.
21987
What is the common denominator of -55/54 and -115/564?
5076
Calculate the smallest common multiple of 32 and 4.
32
Calculate the smallest common multiple of 6514 and 13.
84682
Find the c | {
"pile_set_name": "DM Mathematics"
} |
vative of 106*k**2*x**3 - 7*k**2*x**2 + 2*k**2 - k*x**2 - 1321*x**3 wrt k?
212*x**3 - 14*x**2 + 4
Differentiate 1942062*j*q - 3709382*j wrt q.
1942062*j
What is the third derivative of -7290*h*p**5 + 4*h + 18*p**6 + 2*p**2 + 1061*p - 1 wrt p?
-437400*h*p**2 + 2160*p**3
What is the second derivative of 472*a**5 - 50*a**3 + 39767*a wrt a?
9440*a**3 - 300*a
What is the first derivative of -4*d**4*x + 186*d*x**3 - 5*d*x**2 + 193114*x**3 wrt d?
-16*d**3*x + 186*x**3 - 5*x**2
Find the first derivative of 1290633*v**2 - 1236552 wrt v.
2581266*v
Find the third derivative of 2*i**5 + 994*i**4 + 851*i**3 - 17*i**2 + 27674*i.
120*i**2 + 23856*i + 5106
What is the first derivative of -27*j**3 + 5853*j**2 + 3464487 wrt j?
-81*j**2 + 11706*j
What is the first derivative of -2484*b*j**3*p*t + 6*b*j*p*t - j**3*p - 2*j**3 + 5*j**2*t - 2*j*t - 2287 wrt b?
-2484*j**3*p*t + 6*j*p*t
Find the third derivative of a**4*g*t - 15999*a**3*g*t + 2*a**2*t - a**2 - a*t + 3106*g*t - 2*t wrt a.
24*a*g*t - 95994*g*t
Find the second derivative of 33556*x**3 + 76710*x.
201336*x
Differentiate 2*i**2*m**2 - 35559*i**2*p - 78*i*m**3 - 754*i*m + 2*m**3*p with respect to p.
-35559*i**2 + 2*m**3
Find the first derivative of -5937388*d**2 + 3754980.
-11874776*d
Find the second derivative of 8*h*j*q - 5*h*j + h*q**2 + 6*h*q + 35153*j*q**2 + j*q wrt q.
2*h + 70306*j
What is the first derivative of -817800*u - 1029001 wrt u?
-817800
Find the second derivative of -5*v**2*w**2 + 2*v**2 + 1797*v*w**2 + 2*v - 3*w**2 - 3480*w - 16 wrt w.
-10*v**2 + 3594*v - 6
What is the second derivative of -111997*u**2 + 167995*u wrt u?
-223994
What is the third derivative of -2*o**4 + 28823*o**3 + 24*o**2 + 92*o + 1 wrt o?
-48*o + 172938
What is the second derivative of -l**3*p**4 - l**3*p - 17*l**3 - 39703*p**4 - 14965*p wrt p?
-12*l**3*p**2 - 476436*p**2
What is the first derivative of -2856*a**2*y + 3789*a**2 - 4*a - 8*y wrt y?
-2856*a**2 - 8
What is the third derivative of 105336*b**2*p**5 + b**2*p**2 - 21*b**2*p - 26*b**2 + 2*b*p**6 + 15*b*p**2 wrt p?
6320160*b**2*p**2 + 240*b*p**3
Find the second derivative of 925*r**5 + 3*r**3 + 2*r**2 - 9*r - 1126.
18500*r**3 + 18*r + 4
Differentiate 272*m**2 + 1237*m + 1026096.
544*m + 1237
What is the third derivative of 613662*v**3 - v**2 + 4942*v + 12?
3681972
Differentiate -3*c**2*y**2 + 169008*c**2 - 4190*c*y + y**2 + 2*y wrt y.
-6*c**2*y - 4190*c + 2*y + 2
Differentiate 2085990*u**4 - 1433486 wrt u.
8343960*u**3
What is the derivative of 10624*n**2*y + 6*n - 92240*y wrt n?
21248*n*y + 6
Find the third derivative of 4*w**5 - 3*w**4 - 98*w**3 - 43518*w**2.
240*w**2 - 72*w - 588
What is the first derivative of -1907694*x - 1167524?
-1907694
Find the second derivative of 986*l**3*m + 17*l**3 - l*m - 16*l - 8*m - 7 wrt l.
5916*l*m + 102*l
Differentiate 11*y**4 - 97444*y**2 - 1019997 wrt y.
44*y**3 - 194888*y
Differentiate 57919*w + 63745 wrt w.
57919
Differentiate -121*d*t**4*x + 201*d*t**4 - 261702*d*x + 3*x with respect to t.
-484*d*t**3*x + 804*d*t**3
What is the third derivative of -231*l**3*x**3 - 728587*l**3 + l*x**3 - l*x**2 + 2907*x**3 wrt x?
-1386*l**3 + 6*l + 17442
Find the second derivative of -6753*c*u**5 - 7*c*u**3 - c*u + 4*u - 4733 wrt u.
-135060*c*u**3 - 42*c*u
Find the second derivative of -345*d**5 - 238*d**4 - 7729*d - 45 wrt d.
-6900*d**3 - 2856*d**2
Find the third derivative of -16*d**6*h**2 - 375*d**4*h - 378*d**2 - d*h**2 + 187*d wrt d.
-1920*d**3*h**2 - 9000*d*h
Differentiate 3*f*i**2 - 79643*f + 5185*i**2 with respect to i.
6*f*i + 10370*i
What is the third derivative of 21439*n**5 - 607*n**2 - 3*n?
1286340*n**2
What is the second derivative of w**4 - 237*w**3 - 4*w**2 - 26521*w?
12*w**2 - 1422*w - 8
What is the second derivative of -2964420*r**4 + 898981*r wrt r?
-35573040*r**2
Find the second derivative of -3891*t**3 + t**2 - 21254*t.
-23346*t + 2
What is the third derivative of -2*l**3*t**3 - 19*l**3*t**2 - 7*l**3 + 45206*l*t**3 - 15*t**2 wrt t?
-12*l**3 + 271236*l
What is the second derivative of -105221*l**5 + 2699*l + 9?
-2104420*l**3
Differentiate -51511*q - 785230 wrt q.
-51511
What is the third derivative of -96886*o**4 - 16*o**2 - 236*o?
-2325264*o
What is the third derivative of 2*c**3*l**3 + 59358*c**3 + 72*c**2*l**3 + 2858*l**2 wrt c?
12*l**3 + 356148
What is the third derivative of 3*d*s**5 - 135*d*s**3 - 7*d*s + 3*d + 250*s**2 wrt s?
180*d*s**2 - 810*d
Find the second derivative of -66624*g**5 - 6042*g + 3 wrt g.
-1332480*g**3
Find the first derivative of 632299*b - 1239060 wrt b.
632299
Find the second derivative of 192190*i**5 + 1709*i + 4 wrt i.
3843800*i**3
Find the first derivative of 2*h**3*o*y - 62*h**3*y - 20*h*o - 2*o*y + 47*o + 500*y wrt h.
6*h**2*o*y - 186*h**2*y - 20*o
Find the third derivative of 8*h**5 - 15296*h**4*m + h**2*m - 5515*h**2 wrt h.
480*h**2 - 367104*h*m
What is the second derivative of -17191*z**2 + 221955*z?
-34382
Find the third derivative of -32371*q**4 - q**3 + q**2 - 9632*q.
-776904*q - 6
Find the first derivative of 2336*t**4 + 15*t**2 + 87437 wrt t.
9344*t**3 + 30*t
What is the third derivative of 226438*t**4 + 25343*t**2 - 6*t?
5434512*t
What is the second derivative of 1910*m**3*z**2 - 12*m**3*z - 6*m**3 - m*z**2 + 16*m*z + 2*z**2 - 11122*z wrt m?
11460*m*z**2 - 72*m*z - 36*m
Find the first derivative of 91284*j - 95533.
91284
Find the third derivative of 3*d*n**4 - 799*d*n**3 - 26*d*n**2 + 17*n**4 - 2*n**3 - 648*n + 3 wrt n.
72*d*n - 4794*d + 408*n - 12
Find the third derivative of -d*i**3*r + 272*d*i**2*r - 5*d + 81950*i**3*r + 2*i**3 - 32*r wrt i.
-6*d*r + 491700*r + 12
Find the second derivative of 236916*f**3*j**3 - f**3*j + f**3 - 2*f**2*j + 2*f*j**3 - 2*f*j - 1081*f wrt j.
1421496*f**3*j + 12*f*j
What is the third derivative of -24*g*w**4 + 19*g*w**3 + 2*g*w**2 - 209827*g - 17*w**4 - 2*w**2 wrt w?
-576*g*w + 114*g - 408*w
What is the second derivative of a**4 - 2128*a**3 - 3*a**2 + 4997*a - 4?
12*a**2 - 12768*a - 6
What is the derivative of 447305*s**2 + 158088?
894610*s
What is the second derivative of -23*g**4 + 813*g**2 + 425*g - 72?
-276*g**2 + 1626
Find the first derivative of -141622*a**2*c**2 + a**2 - 2*a*c**2 + c**2 + 35883*c + 4 wrt a.
-283244*a*c**2 + 2*a - 2*c**2
What is the third derivative of -9*c**5*x - 99346*c**3*x**3 - 24*c**2*x**3 - 4*x**3 - 1156*x wrt c?
-540*c**2*x - 596076*x**3
Find the third derivative of -r**5 + 489830*r**4 + r**3 - 1862129*r**2 wrt r.
-60*r**2 + 11755920*r + 6
Differentiate 70*n**2*s - 30*n**2 - 325*n*s - 6*n + 112 wrt s.
70*n**2 - 325*n
Find the second derivative of 63681*b**2 - 479224*b.
127362
Find the third derivative of -4*g**2*w**4 + 24644*g**2 - 61724*g*w**4 - 39*w**2 wrt w.
-96*g**2*w - 1481376*g*w
Find the second derivative of 83864*b**2*k**3 - 18*b*k + 6425*k**3 wrt b.
167728*k**3
Find the second derivative of 15*l**3*w**2 + 5*l**3*w + l**3 + 131*l*w**2 + 298*l*w wrt w.
30*l**3 + 262*l
Find the second derivative of -36*v**3*z**2 - 31*v**3*z + 11*v**2*z - 28*v*z**2 - 15*v*z + v - 6*z**2 wrt v.
-216*v*z**2 - 186*v*z + 22*z
What is the second derivative of 1186734*c**2*x + 1102341*c*x wrt c?
2373468*x
Find the first derivative of 366*z**2 + 4799*z + 211772.
732*z + 4799
Find the second derivative of -13*f**4 + 6980*f**2*n*v**3 - 44*f*n*v**2 - 2*f*n*v + 6*v**3 + 15*v**2 wrt f.
-156*f**2 + 13960*n*v**3
What is the third derivative of 54*i**4 + 9217*i**3 - 3212461*i**2 wrt i?
1296*i + 55302
Find the first derivative of -4738*w**3 + 7*w**2 + w - 956333.
-14214*w**2 + 14*w + 1
What is the third derivative of -66119*z**3 + 5*z**2 - 6*z - 1?
-396714
What is the second derivative of -2460*j**3 + 265*j**2 + 3431214*j?
-14760*j + 530
What is the first derivative of 5563*b**2 + 9*b*g - g + 41665 wrt b?
11126*b + 9*g
Find the third derivative of -33996*n**3 + 2*n**2 + 10179*n wrt n.
-203976
What is the second derivative of 54035*h**3 + 59278*h wrt h?
324210*h
Find the second derivative of -2*k*v**2 - 146*k*v + 4*k + 217657*v**2 - 5*v + 1 wrt v.
-4*k + 435314
What is the second derivative of -d*t**3 - 16*d*t**2 - 1734*d*t + 694*t**3 - 2*t + 7 wrt t?
-6*d*t - 32*d + 4164*t
Differentiate -91906*v**4 - 3139 wrt v.
-367624*v**3
What is the derivative of -926373*i**2 - 291050?
-1852746*i
What is the second derivative of 4*n**2*u*v**2 - 3246*n**2*u* | {
"pile_set_name": "DM Mathematics"
} |
or of n and 30?
6
Suppose 2*t - t + 3*q = 46, 2*t - 3*q = 65. Calculate the highest common divisor of 259 and t.
37
Let t = -3 + 7. Suppose -4*v + o + 79 = 0, -3*v + 22 = -2*v - o. Let i = -9 + v. What is the highest common divisor of i and t?
2
Suppose 5*t - 4*t = 5, 2*t = -2*d + 32. Let q(j) = 6*j**2 - 2*j - 4. Let o be q(3). What is the highest common divisor of o and d?
11
Suppose 3*d = -h + 63, 5*h - 35 = 2*d - 3*d. What is the greatest common divisor of 30 and d?
10
Let j = -6 - -9. Let l = j + 6. Let p be ((-6)/9)/(-2)*27. What is the greatest common divisor of p and l?
9
Let l be (-1 - 0) + (-14 - -33). Calculate the greatest common divisor of 6 and l.
6
Let q = -105 - -107. What is the highest common factor of 1 and q?
1
Suppose 0 = -0*k - k + 6. Suppose k*g - 44 = 2*g. What is the greatest common factor of 55 and g?
11
Suppose 221 = 5*o + 4*q - 24, -4*q - 25 = -o. Calculate the greatest common divisor of o and 9.
9
Suppose -2*w + 36 = -4*w. Let g be 24/w*(-1 + -17). Suppose 5 = t - 7. What is the highest common factor of g and t?
12
Let g(p) be the third derivative of p**4/2 - p**3/3 - 3*p**2. Let k be g(3). Calculate the greatest common factor of k and 85.
17
Let o = -417 + 615. What is the highest common divisor of o and 44?
22
Suppose 0 = -3*t + 4*z + 16, -5*t + z = 2*z - 42. Suppose 2*l - t = -2*l. Let k be -27*(3/9 - l). Calculate the greatest common factor of k and 9.
9
Let q be 0 - ((-112 - 4) + -1). Let k be (-14)/(-21)*(-78)/(-4). What is the greatest common factor of q and k?
13
Suppose -5*o = -3*j + 5, -3*j + 10 = j - 5*o. What is the highest common factor of j and 55?
5
Suppose 2*p - 307 = -0*p + 3*h, -p + h + 153 = 0. Calculate the greatest common divisor of 19 and p.
19
Suppose -5*x + 720 = -810. Let k be 0 - 1 - (1 - x). Let j = -216 + k. What is the highest common factor of j and 11?
11
Let t be 1190/40 - 1/(-4). What is the highest common factor of t and 10?
10
Let r = -4 - -6. Let m = -97 + 115. Calculate the highest common divisor of r and m.
2
Let a be 2 + (-2 - -1) + 40/5. Calculate the greatest common factor of 9 and a.
9
Suppose -w - 1 = -64. Suppose 4*m - 4 - 24 = 0. Calculate the greatest common divisor of m and w.
7
Suppose -5*v + 12 = -2*v. Suppose 2*d + 24 = v*d. Calculate the highest common factor of d and 30.
6
Let g = 130 - 125. What is the highest common divisor of g and 3?
1
Let s(d) = 4*d**2 - 3*d - 3. Suppose z = 6*z + 3*q + 35, 4*q = -3*z - 32. Let t = z + 7. Let w be s(t). What is the highest common factor of w and 8?
8
Suppose -s - 839 - 4910 = 4*w, -4*s + 5744 = -4*w. Let o be 2/(-7) - w/7. Suppose -25 + o = 5*r. What is the greatest common divisor of 4 and r?
4
Let o(m) = m**2 - 3*m + 2. Let j be o(-4). Calculate the greatest common divisor of 40 and j.
10
Let l be (9/(-18))/(1/(-36)). Calculate the greatest common divisor of l and 27.
9
Suppose -2*i + 240 = -24. What is the highest common divisor of 12 and i?
12
Let s be 26/(-91)*(-14)/2. What is the highest common divisor of 1 and s?
1
Let u be (1/(-3))/((-5)/105). Suppose -24 = -a - u. Calculate the highest common divisor of a and 187.
17
Let r be 126/7 + -2 + 4. Calculate the greatest common divisor of r and 180.
20
Suppose -9*h + 5*h = 356. Let x = 177 + h. What is the highest common divisor of 8 and x?
8
Let y(g) = -g - 17. Let q be y(-12). Let x be 102/4 + q/(-10). What is the highest common factor of 39 and x?
13
Suppose -75 = -5*r + 45. Suppose 0 = -s + 2*t + 214, 2*t + 2 = 4*t. What is the greatest common factor of s and r?
24
Let i be 5216/24 - (-1)/(-3). What is the greatest common factor of i and 31?
31
Suppose 82 = 4*r - 2*a, r + 2*a - 3 = -a. Calculate the highest common divisor of r and 144.
18
Suppose 2*a - 288 = -0*a. Let x = -7 + 25. Calculate the greatest common divisor of a and x.
18
Let l = -5 + 5. Suppose l = 2*b - 6*b + 180. Calculate the greatest common divisor of b and 9.
9
Suppose 2 + 4 = h. Suppose 14 = 3*p + 5*g - 2, 3*g = h. Let u be 9 - 1/(p - 3). Calculate the greatest common factor of 15 and u.
5
Suppose -3*t - 6 = -3. Let i be t/(-4) + 535/20. Calculate the greatest common factor of i and 81.
27
Let j be 10*(7 + (-81)/15). Suppose -73 = -t - 4*n - 9, 4*n = -2*t + 128. What is the greatest common divisor of t and j?
16
Suppose -3*s - 3*g = 0, 0 = 4*s + 6*g - 3*g - 1. Let b be -5 + 5 + s*21. Calculate the highest common factor of b and 14.
7
Let z be (-7)/((-42)/(-32))*(-3)/2. What is the greatest common divisor of z and 32?
8
Suppose 2*q + 71 = -3*w, 2*w - 59 - 28 = 3*q. Let o = 52 + q. Calculate the greatest common factor of o and 7.
7
Let h(r) be the second derivative of r**5/20 + r**4/12 + r**3/6 + 165*r**2 - 4*r. Let b be h(0). What is the greatest common factor of b and 30?
30
Let u = 6 - -26. Suppose 13 = 4*r - 5*b, -3*r - b + 30 = 2*b. Let v = 11 - r. Calculate the highest common factor of v and u.
4
Suppose -16 = -4*u - 2*x - 0*x, 4*x - 16 = -4*u. Let c = u - -3. Calculate the greatest common factor of c and 14.
7
Suppose -n + 5*i + 101 = 0, -312 = n - 5*n - 3*i. Suppose -49 = -5*t - b, -3*t - 2*b + 19 = -4*b. Calculate the highest common divisor of t and n.
9
Let c be 22/4*(-1)/3*-30. Suppose 5*t - 94 = 16. Calculate the highest common factor of c and t.
11
Let g(h) = 4*h - 8. Let d be g(5). What is the highest common factor of d and 60?
12
Suppose -h = -6*h - 4*y - 10, -2*y + 10 = 0. Let j be (-4)/12 - 92/h. What is the highest common divisor of 120 and j?
15
Suppose -13 - 27 = -4*s - 3*r, 2*s = 5*r - 6. Suppose -z - 3 = -s. What is the greatest common divisor of z and 4?
4
Suppose 4*x + 0*x - 4 = 0. Let j = 10 - 6. Calculate the greatest common factor of j and x.
1
Suppose -2*o - 3*u = 5, 25 = 4*o - 6*u + 5*u. Suppose 7*q = 2*q - o*h + 475, -3*h + 467 = 5*q. What is the greatest common factor of 13 and q?
13
Let b(l) = -l**2 - 9*l + 1. Let y(k) = -k**2 + 3*k + 6. Let v be y(5). Let j be b(v). What is the greatest common factor of 21 and j?
21
Suppose -2*q = -4*u + 30, 5*q - 6 = u - 0*u. Calculate the highest common divisor of 6 and u.
3
Let m = 57 - 33. Calculate the greatest common divisor of m and 36.
12
Let t = 45 - 32. Suppose 1 - 4 = 2*y - 3*p, 4*y = 4*p. Suppose -2*m + y*r = -r - 278, 5*m - 713 = r. What is the highest common divisor of t and m?
13
Let t = -20 + 29. Let r(j) = -4*j + 29. Let c be r(-13). Calculate the highest common factor of c and t.
9
Let f = -12 + 15. Suppose 2*w = -6, -3*w = f*z - 0*w - 255. Calculate the greatest common factor of 8 and z.
8
Suppose 4*v - 108 = -4*f, -133 = 2*f - 7*f - 4*v. Let u(i) = 125*i**2. Suppose 3 = -h + 4. Let t be u(h). Calculate the greatest common divisor of f and t.
25
Let l = 0 + 2. Let q be (l + 0 + 6)*1. What is the highest common factor of 8 and q?
8
Let l be -3 - (2/(-12) + (-447)/18). Let k be (-1)/(-3)*(29 + 4). Calculate the greatest common factor of l and k.
11
Let j = 20 + 36. Suppose 93 = 3*v + 3*d, 4*v - 127 = -4*d - d. Calculate the highest common factor of j and v.
28
Suppose -2*q = -4*q + 24. Calculate the greatest common factor of q and 12.
12
Let w = 109 + -71. Calculate the highest common factor of 190 and w.
38
Suppose -5*q + 23 - 18 = 0. Calculate the greatest common divisor of q and 11.
1
Suppose 27*k - 23*k = 60. Calculate the greatest common factor of 60 and k.
15
Suppose 0*h - 16 = -4*h. Let g = 10 - h. Let y = 2 + g. Calculate the greatest common factor of y and 8.
8
Suppose 3*g - 28 = g. Let x be (-40)/(-5)*(-84)/(-16). Calculate the highest common divisor of x and g.
14
Suppose -y + 0*y + 118 = -5*j, 442 = 4*y - 5*j. Let m be y/(-15)*(-20)/6. Suppose h + 3*h - m = 0. What is the greatest common divisor of 3 and h?
3
Suppose 2*z + 3*r = -3, 5*z - 5 = 4*z + 5*r. Suppose z = -5*y + 8*y - 66. Calculate the greatest common factor of y and 11.
11
Let w(z) = 3*z + 6. Let y be w(4). Let d be 44*(y/4 - 2). What is the highest common factor of d and 44?
22
Let f = 20 - 7. Suppose 4*b + 3*o - 453 = -0*o, 0 = b + o - 112. What is the greatest common divisor of b and f?
13
Let t = 28 + -19. Let k(o) = 8*o**2 + 4*o - 3. Let m(g) = g. Let j be m(3). Let u be k(j). Calculate the greatest common factor of t and u.
9
Let l be 4*(2 + 12/8). What is the highest common factor of l and 154?
14
Let s = 21 + -3. Let m = -6 + s. Calculate | {
"pile_set_name": "DM Mathematics"
} |
v + 26*v = 10 for v.
5
Solve 0 = 9*r + 56 - 92 for r.
4
Solve 0 = -7*m + 5*m - 8 for m.
-4
Solve 0 = 177*g - 178*g - 1 for g.
-1
Solve 506 - 486 = 5*u for u.
4
Solve 0 = 3*g + 7 - 19 for g.
4
Solve -5*t = 8*t - 91 for t.
7
Solve 8 + 4 = -6*u for u.
-2
Solve -1 = -7*q - 15 for q.
-2
Solve -4*o + 184 - 172 = 0 for o.
3
Solve -82 = 8*q - 138 for q.
7
Solve 0 = -4*c - 12 + 8 for c.
-1
Solve 84 = 141*o - 153*o for o.
-7
Solve -20 = -366*y + 361*y for y.
4
Solve 14*i + 2*i + 64 = 0 for i.
-4
Solve -11*w + 2 = -9*w for w.
1
Solve 0 = -o - 23 + 20 for o.
-3
Solve -12*u + 5*u = 14 for u.
-2
Solve -5 = -309*s + 310*s for s.
-5
Solve 4*a - 112 = -10*a for a.
8
Solve 0 = -388*t + 391*t - 15 for t.
5
Solve -41*t - 75 = 130 for t.
-5
Solve -69 = 6*r + 17*r for r.
-3
Solve 0*t + 4*t = 4 for t.
1
Solve -20*m + 180 = 10*m for m.
6
Solve 16*a = -5*a + 126 for a.
6
Solve 0 = 2*b - 5 - 1 for b.
3
Solve -1604*q = -1601*q - 21 for q.
7
Solve -5*y = 223 - 233 for y.
2
Solve 13*x - 180 = -258 for x.
-6
Solve -7*h = -5 - 2 for h.
1
Solve 14*h = -10*h + 120 for h.
5
Solve -5 = -0*j + 5*j for j.
-1
Solve 48*j - 90 = 102 for j.
4
Solve -34*m = -3*m - 4*m for m.
0
Solve 0 = -k - 8 + 5 for k.
-3
Solve -25*t = 26 - 51 for t.
1
Solve 8*m - 309 = -277 for m.
4
Solve 130*s - 16 = 146*s for s.
-1
Solve -2*b - 5 + 11 = 0 for b.
3
Solve -100*f = -123*f + 115 for f.
5
Solve 41*q + 189 = 20*q for q.
-9
Solve 287 = 33*q + 56 for q.
7
Solve 5*x = 10*x - 5 for x.
1
Solve -217 = -9*b - 163 for b.
6
Solve 0 = 119*c - 124*c - 5 for c.
-1
Solve 2*u = -8 + 6 for u.
-1
Solve -2*s - s + 12 = 0 for s.
4
Solve 75 = -48*w - 21 for w.
-2
Solve -2*o - 42 = -9*o for o.
6
Solve -83 + 79 = -4*q for q.
1
Solve -26*g + 46*g + 20 = 0 for g.
-1
Solve 2*g = 3*g + 5*g for g.
0
Solve 295*p + 40 = 285*p for p.
-4
Solve 45*y = 13*y + 128 for y.
4
Solve 133 - 148 = -5*g for g.
3
Solve 0*i - 11*i + 66 = 0 for i.
6
Solve -69 - 41 = -55*v for v.
2
Solve 17*y = 23*y + 36 for y.
-6
Solve 35*m = 17*m - 126 for m.
-7
Solve 0 = -23*u + 24*u + 2 for u.
-2
Solve 9 = -7*p + 16*p for p.
1
Solve -3106*a + 3101*a = 15 for a.
-3
Solve 18 + 16 = -17*o for o.
-2
Solve 11*c + 2364 = 2276 for c.
-8
Solve 75*s - 69*s = -42 for s.
-7
Solve 5 - 3 = 2*j for j.
1
Solve 119*i - 244 = 113 for i.
3
Solve 15*i - 18*i + 6 = 0 for i.
2
Solve 0 = 3*z + 39 - 51 for z.
4
Solve -52*o = -92*o - 240 for o.
-6
Solve 0 = -3*k + 9*k + 30 for k.
-5
Solve -3*h - 7 = 2 for h.
-3
Solve 0 = 7*z - 21 for z.
3
Solve -12 = 9*v - 15*v for v.
2
Solve 2*b - 12*b + 70 = 0 for b.
7
Solve -3 + 5 = i for i.
2
Solve 0 = 9*c - 44 + 35 for c.
1
Solve -3*m + 4 = -m for m.
2
Solve -16 = -38*c + 22 for c.
1
Solve 3*s = -5*s - 8 for s.
-1
Solve r = 11*r - 30 for r.
3
Solve -136 = -66*l - 334 for l.
-3
Solve 19*b + 45 - 140 = 0 for b.
5
Solve 0*i = 12*i - 36 for i.
3
Solve -5*d = 12*d for d.
0
Solve -57*t + 138 = -147 for t.
5
Solve -g = -2 + 7 for g.
-5
Solve 12*d - 28 = 19*d for d.
-4
Solve -338 + 122 = 36*a for a.
-6
Solve -66*z + 45 = -57*z for z.
5
Solve -11*y + 28*y = -102 for y.
-6
Solve 6 = -4*z + 2*z for z.
-3
Solve -t = -8*t + 35 for t.
5
Solve 0 = -0*h - 3*h - 9 for h.
-3
Solve 55 = -32*g - 9 for g.
-2
Solve 2*l - 5*l + 15 = 0 for l.
5
Solve -7 = 24*t + 65 for t.
-3
Solve 35*x - 72 = 43*x for x.
-9
Solve -12 = -4*y + 4 for y.
4
Solve -80*f = 499 - 179 for f.
-4
Solve 0 = -c + 22*c - 42 for c.
2
Solve -20*s - 384 = -204 for s.
-9
Solve 19*q = 16*q + 9 for q.
3
Solve 28 = -27*r - r for r.
-1
Solve 59*s - 50 = 245 for s.
5
Solve 86*w = 93*w + 42 for w.
-6
Solve 1815*f = 1812*f - 9 for f.
-3
Solve 146*k = 161*k - 90 for k.
6
Solve -11*d = -15*d - 20 for d.
-5
Solve 12 = 10*j + 2 for j.
1
Solve -16*i - 8*i = -2*i for i.
0
Solve -8 + 0 = 2*z for z.
-4
Solve 36*s - 42 = 66 for s.
3
Solve 4 = 5*p + 29 for p.
-5
Solve -26*v - 58 + 136 = 0 for v.
3
Solve 74*o = 86*o + 12 for o.
-1
Solve -d + 28*d - 81 = 0 for d.
3
Solve -258*c + 249*c = 45 for c.
-5
Solve -2*r = 3*r for r.
0
Solve 5*t = 316 - 306 for t.
2
Solve 0 = -45*h + 49 + 86 for h.
3
Solve -5*w = -19 + 4 for w.
3
Solve -3*w = 27 - 21 for w.
-2
Solve -15*q + 62*q + 282 = 0 for q.
-6
Solve 327 - 367 = 10*h for h.
-4
Solve 10*r = -8 - 42 for r.
-5
Solve -24*d = -4*d + 140 for d.
-7
Solve 0 = -0*b - 2*b - 10 for b.
-5
Solve 0 = -6*j + 364 - 322 for j.
7
Solve -32*s = 7 - 231 for s.
7
Solve 9029*r + 138 = 9006*r for r.
-6
Solve -37*x = -60*x - 23 for x.
-1
Solve -2*j + 395 = 395 for j.
0
Solve 1 = -6*t + 19 for t.
3
Solve -15 + 6 = -3*r for r.
3
Solve -2 = 19*k + 93 for k.
-5
Solve 0 = -2*b - 21 + 21 for b.
0
Solve -739 + 724 = -3*b for b.
5
Solve m - 1 = -0 for m.
1
Solve -6*z + 11*z = 10 for z.
2
Solve 0 = 11*d - 87 + 76 for d.
1
Solve 372*a = 375*a + 21 for a.
-7
Solve 16*a + 79 + 33 = 0 for a.
-7
Solve -16*n - 121 + 233 = 0 for n.
7
Solve 15 = -h + 12 for h.
-3
Solve 11*w + 29 = -59 for w.
-8
Solve 27*c - 16 = 65 for c.
3
Solve 488*h - 33 = 477*h for h.
3
Solve -41*l - 104 = 101 for l.
-5
Solve -19*j = -37*j for j.
0
Solve -18*i + 35*i = -119 for i.
-7
Solve 4*m = 12 - 12 for m.
0
Solve -61*q + 496 = q for q.
8
Solve 0 = 4*l + 66 - 54 for l.
-3
Solve 4*q = -2*q + 24 for q.
4
Solve 0 = -4*w - 91 + 87 for w.
-1
Solve 41*x - 9*x + 64 = 0 for x.
-2
Solve 3*l + 7*l = 30 for l.
3
Solve -28*p + 24*p - 28 = 0 for p.
-7
Solve -18*r - 1269 + 1197 = 0 for r.
-4
Solve 110 = 18*j + 4*j for j.
5
Solve -37 = -55*d - 422 for d.
-7
Solve 28*f - 78 = 41*f for f.
-6
Solve -8*h + 2*h + 12 = 0 for h.
2
Solve 11*q - 8 = 14 for q.
2
Solve -196*s + 188*s = 8 for s.
-1
Solve 51 - 55 = -2*s for s.
2
Solve 6*r + 46 = 76 for r.
5
Solve 2*a = 5*a - 12 for a.
4
Solve -69 = -2*k - 55 for k.
7
Solve -z = -10 + 12 for z.
-2
Solve 91*f = 120*f + 203 for f.
-7
Solve -25*y = 6*y + 9*y for y.
0
Solve -65*q + 74*q = 63 for q.
7
Solve 171 = -27*o + 360 for o.
7
Solve -16040*l + 30 = -16050*l for l.
-3
Solve 0 = 1512*d - 1522*d - 20 for d.
-2
Solve -27*u + 16 = -35*u for u.
-2
Solve -4*q + 37 = 33 for q.
1
Solve 8*f = 3357 - 3349 for f.
1
Solve -170*v - 9 = -167*v for v.
-3
Solve 18 - 18 = -3*f for f.
0
Solve -89*m = 94 + 84 for m.
-2
Solve 1643 = -6*o + 1637 for o.
-1
Solve 5*j + 12 = -3 for j.
-3
Solve -9*b + 23 - 86 = 0 for b.
-7
Solve -7*n = 2*n for n.
0
Solve -o + 6*o = 10 for o.
2
Solve 23*n = 11 + 81 for n.
4
Solve 0*w + 55 = -11*w for w.
-5
Solve -8*o - 480 = -456 for o.
-3
Solve 133 = -96*a - 251 for a.
-4
Solve 0 = 3*b + 3 for b.
-1
Solve -77*l = -83*l for l.
0
Solve 30 = -9*a + 14*a for a.
6
Solve 76*z = 72*z + 28 for z.
7
Solve 63*q = 176 + 76 for q.
4
Solve -9 = -n - 4 for n.
5
Solve 50 = -11*l - 5 for l.
-5
Solve -8 + 4 = 2*u for u.
-2
Solve 27 - 17 = 2*p for p.
5
Solve -17 = -18*t + 127 for t.
8
Solve -25 = 21*k - 16*k for k.
-5
Solve 7*q + 58 = 58 for q.
0
Solve -39*q + 105 = -24*q for q.
7
Solve 0 = -4*u - 14 + 34 for u.
5
Solve -2*r - 5 = -13 for r.
4
Solve 9 = b + 12 for b.
-3
Solve 2*s = -11 + 7 for s.
-2
Solve -70 = 15*h - h for h.
-5
Solve 0 = 10*t - 86 + 36 for t.
5
Solve 33*n - 7*n = -156 for n.
-6
Solve -2*c - 25 = 3*c for c.
-5
Solve -4 = -6*v + 32 for v.
6
Solve 31*l - 92 = 54*l for l.
-4
Solve -2709*i = -2704*i + 35 for i.
-7
Solve -17*d = -36*d - 57 for d.
-3
Solve 0 = -25*d - 2*d - 162 for d.
-6
Solve -667 = 32*p - 667 for p.
0
Solve -17*s + 15*s + 6 = 0 for s.
3
Solve 0 = 8*s + 3*s - 55 for s.
5
Solve 41*p = 36*p + 15 for p.
3
Solve 0*u = 3*u + u for u.
0
Solve 0 = 9*h + 13*h + 8*h for h.
0
Solve -183*d = -189*d for d.
0
Solve 16*i = 41*i + 125 for i.
-5
Solve 2*w - 3 = -5 for w.
-1
Solve 27 - 33 = -6*h for h.
1
Solve -81 + 102 = 7*j for j.
3
Solve 5*d + 49 = 14 for d.
-7
Solve -18 = 4*j - 6 for j.
-3
Solve 227 = -16*d + 259 for d.
2
Solve 11*p = 912 - 890 for p.
2
Solve 12 = 1945*k - 1939*k for k.
2
Solve -11*v + 49 = 60 for v.
-1
Solve 282*l = 300*l - 162 for l.
9
Solve 0 = f - 13*f - 36 for f.
-3
Solve 57*f = 176 + 52 for f.
4
Solve -9*u - 242 = -305 for u.
7
Solve -12*w - 50 = -2*w for w.
-5
Solve 344*p = 332*p - 96 for p.
-8
Solve 12 = 3*v + 18 for v.
-2
Solve 27*p - 280 = -p for p.
10
Solve -6*d - 108 + 102 = 0 for d.
-1
Solve 91*h + 130 = 104*h for h.
10
Solve 0 + 20 = -10*z for z.
-2
Solve 0 = -16*m + 9*m + 28 for m.
4
Solve -70*c + 12 = -67*c for c.
4
Solve 0 = 81*q - 75*q + 6 for q.
-1
Solve 4 = 3*u - 5 for | {
"pile_set_name": "DM Mathematics"
} |
00.
900000
What is -345800 rounded to the nearest ten thousand?
-350000
What is 32200000 rounded to the nearest one million?
32000000
What is 20782.6 rounded to the nearest one thousand?
21000
Round -1.6271 to 1 decimal place.
-1.6
What is -0.4911 rounded to 1 dp?
-0.5
Round -841100 to the nearest one hundred thousand.
-800000
What is 2870 rounded to the nearest one thousand?
3000
Round 78.3 to the nearest 100.
100
Round -0.0003386 to five dps.
-0.00034
What is 0.00001118 rounded to 6 decimal places?
0.000011
Round 0.00079532 to five decimal places.
0.0008
What is 415900 rounded to the nearest 10000?
420000
Round -35603000 to the nearest 1000000.
-36000000
What is -0.0000411 rounded to 4 dps?
0
Round 234700 to the nearest ten thousand.
230000
Round 0.0385168 to three decimal places.
0.039
What is 19890000 rounded to the nearest 1000000?
20000000
Round -0.38 to the nearest integer.
0
Round -314.7 to the nearest one hundred.
-300
What is -102.54 rounded to the nearest ten?
-100
What is 0.0000013735 rounded to 7 dps?
0.0000014
Round 10.3678 to one dp.
10.4
What is -332.52 rounded to the nearest 10?
-330
Round 0.00625682 to five dps.
0.00626
Round -0.00873 to three decimal places.
-0.009
Round -0.0918 to one dp.
-0.1
What is -648 rounded to the nearest 10?
-650
Round 1937800 to the nearest 1000000.
2000000
Round 0.015018 to four dps.
0.015
Round 1.6671 to 2 decimal places.
1.67
Round -0.00006616 to five dps.
-0.00007
What is -0.00009483 rounded to six decimal places?
-0.000095
Round 0.000690237 to six dps.
0.00069
What is 14895 rounded to the nearest one thousand?
15000
Round -108.41 to the nearest 10.
-110
Round 0.000048086 to five dps.
0.00005
What is 3280 rounded to the nearest 100?
3300
What is 317716 rounded to the nearest 10000?
320000
Round -0.00004248 to 6 dps.
-0.000042
What is -0.000001512 rounded to 6 dps?
-0.000002
Round -4.26 to the nearest one hundred.
0
What is -2.0448 rounded to zero dps?
-2
What is 0.00019195 rounded to six decimal places?
0.000192
Round -47500 to the nearest ten thousand.
-50000
What is 279 rounded to the nearest ten?
280
What is 0.00000307 rounded to 7 decimal places?
0.0000031
What is -0.001499 rounded to 4 dps?
-0.0015
What is -0.0002901 rounded to five decimal places?
-0.00029
Round -0.005753 to three dps.
-0.006
What is -0.0000404 rounded to five decimal places?
-0.00004
Round -0.00149563 to 5 decimal places.
-0.0015
Round 0.006434 to three dps.
0.006
Round 0.07859 to 2 decimal places.
0.08
Round 0.0036925 to 4 dps.
0.0037
Round 145810 to the nearest 10000.
150000
Round -0.0004083 to five dps.
-0.00041
What is -2679000 rounded to the nearest one hundred thousand?
-2700000
Round -0.443 to the nearest integer.
0
Round 0.00000222 to 7 dps.
0.0000022
Round -10.92 to zero decimal places.
-11
What is 14025.7 rounded to the nearest one thousand?
14000
Round 19730000 to the nearest one million.
20000000
What is 379700 rounded to the nearest 10000?
380000
Round 50.6 to 0 decimal places.
51
Round -2.0159 to one dp.
-2
Round -103.029 to the nearest ten.
-100
Round 65 to the nearest 10.
70
Round -676070 to the nearest 10000.
-680000
Round -0.263 to one dp.
-0.3
Round -257000 to the nearest 100000.
-300000
Round -0.0008335 to 5 decimal places.
-0.00083
What is -1.1852 rounded to 2 decimal places?
-1.19
Round 11443000 to the nearest one hundred thousand.
11400000
Round -0.11792 to 3 decimal places.
-0.118
Round 353000 to the nearest one hundred thousand.
400000
What is -0.00034584 rounded to six dps?
-0.000346
What is -96.11 rounded to the nearest integer?
-96
What is 504890 rounded to the nearest 100000?
500000
Round 10373 to the nearest 1000.
10000
What is 0.0008865 rounded to four dps?
0.0009
Round 0.000074579 to 5 dps.
0.00007
Round -0.16428 to 3 dps.
-0.164
Round -1.9675 to two dps.
-1.97
What is 0.0000002099 rounded to seven dps?
0.0000002
Round 0.000000011 to seven decimal places.
0
Round 0.0000004361 to 7 dps.
0.0000004
Round -0.0002924 to five dps.
-0.00029
What is 154750000 rounded to the nearest one million?
155000000
What is 11394500 rounded to the nearest 1000000?
11000000
What is -36500 rounded to the nearest 1000?
-37000
What is -12.551 rounded to zero dps?
-13
What is -758 rounded to the nearest 10?
-760
Round 0.0000199 to 5 dps.
0.00002
Round -16495300 to the nearest 10000.
-16500000
What is 864000 rounded to the nearest ten thousand?
860000
Round 63.7 to the nearest ten.
60
What is -0.000013792 rounded to six dps?
-0.000014
Round -2596600 to the nearest ten thousand.
-2600000
What is -0.0000153782 rounded to seven dps?
-0.0000154
What is 0.23632 rounded to three decimal places?
0.236
What is -0.0039342 rounded to 5 dps?
-0.00393
What is -0.0002912 rounded to five dps?
-0.00029
What is 0.0011391 rounded to four decimal places?
0.0011
Round 1047000 to the nearest 1000000.
1000000
What is 6722000 rounded to the nearest 1000000?
7000000
Round 0.00334 to 4 dps.
0.0033
What is 11810000 rounded to the nearest 100000?
11800000
What is -5661000 rounded to the nearest 1000000?
-6000000
Round 30.66 to the nearest 10.
30
What is 22367000 rounded to the nearest one hundred thousand?
22400000
What is -0.9456 rounded to two dps?
-0.95
What is 13810000 rounded to the nearest one million?
14000000
Round -0.0483095 to 2 decimal places.
-0.05
What is -321840 rounded to the nearest ten thousand?
-320000
What is -48.83 rounded to the nearest 10?
-50
What is -35733000 rounded to the nearest 100000?
-35700000
What is -0.012175 rounded to four decimal places?
-0.0122
What is -8350 rounded to the nearest 1000?
-8000
What is 0.0067281 rounded to 5 decimal places?
0.00673
Round 0.0000063 to seven dps.
0.0000063
Round -0.0013674 to 4 decimal places.
-0.0014
What is -0.03313 rounded to 2 decimal places?
-0.03
What is -51500000 rounded to the nearest 1000000?
-52000000
What is -116387 rounded to the nearest 10000?
-120000
What is 0.008786 rounded to three decimal places?
0.009
What is -6093 rounded to the nearest 100?
-6100
What is -328460 rounded to the nearest ten thousand?
-330000
What is 12253.3 rounded to the nearest one thousand?
12000
Round -0.09858 to two dps.
-0.1
Round -0.00066945 to six dps.
-0.000669
What is 0.063297 rounded to 3 dps?
0.063
What is 0.00004147 rounded to 5 decimal places?
0.00004
Round 0.00011868 to six dps.
0.000119
Round 10.7837 to the nearest integer.
11
What is -15.544 rounded to the nearest ten?
-20
Round 176980 to the nearest ten thousand.
180000
What is 3.5187 rounded to 2 dps?
3.52
What is -0.001149 rounded to 4 decimal places?
-0.0011
What is -0.386 rounded to one dp?
-0.4
What is -247100 rounded to the nearest ten thousand?
-250000
Round 346140 to the nearest one hundred thousand.
300000
What is 0.000502 rounded to 4 decimal places?
0.0005
What is -0.050899 rounded to 4 dps?
-0.0509
What is -0.00991 rounded to three decimal places?
-0.01
Round 909 to the nearest 100.
900
Round -0.298 to 2 decimal places.
-0.3
What is 0.0000048451 rounded to six decimal places?
0.000005
What is -30.07 rounded to the nearest one hundred?
0
What is -0.05028 rounded to three decimal places?
-0.05
Round 0.2596 to 2 decimal places.
0.26
Round 0.1269 to two dps.
0.13
Round -204227 to the nearest ten thousand.
-200000
What is -5992100 rounded to the nearest 1000000?
-6000000
What is -0.006214 rounded to three dps?
-0.006
What is -0.813 rounded to 1 decimal place?
-0.8
Round -8650000 to the nearest one hundred thousand.
-8700000
What is -2.632 rounded to 1 decimal place?
-2.6
What is 0.014788 rounded to three decimal places?
0.015
Round 59.26 to the nearest 100.
100
What is -101516000 rounded to the nearest 1000000?
-102000000
Round 0.179 to zero decimal places.
0
What is -0.010624 rounded to three decimal places?
-0.011
What is -1412.2 rounded to the nearest 1000?
-1000
What is 12028 rounded to the nearest one hundred?
12000
Round -27300000 to the nearest 1000000.
-27000000
What is 2421000 rounded to the nearest one hundred thousand?
2400000
Round -0.0000266 to 5 dps.
-0.00003
Round -4.815 to the nearest integer.
-5
Round 0.0014395 to four dps.
0.0014
Round -0.3371 to one decimal place.
-0.3
Round 0.000447 to four decimal places.
0.0004
What is 89.8 rounded to the nearest ten?
90
What is 0.0005439 rounded to four dp | {
"pile_set_name": "DM Mathematics"
} |
= -t**2 + 19*t + 152. Let h(b) = -b**3 - 19*b**2 + 2*b + 32. Let f be h(-19). Let q be j(f). What is the nearest to -6 in -2, 1/2, q?
-2
Let d be (-1533)/8190*-3 + 2/(-20). What is the nearest to 2 in -0.059, d, 4?
d
Let r = 0.0679 + 44.8321. Let o = 45.119 + -0.119. Let p = r - o. Which is the closest to -1? (a) -2/21 (b) p (c) 3
b
Suppose 4*g + 5*m = -16, -6*m = -5*m. Let r be ((-12)/g)/(-9)*143. Let t = -47 - r. Which is the nearest to -2/7? (a) 39 (b) t (c) -1/3
c
Let g = 5191 + -5186. What is the nearest to 0 in g, 1/3, 0.55?
1/3
Let y = 19646 + -19646.3. Which is the closest to 1? (a) -2 (b) -0.01 (c) y (d) -1/3
b
Let h = -8 + 2. Let f = -51215 + 51215.1. Which is the nearest to -0.2? (a) -0.3 (b) -2/7 (c) f (d) h
b
Let x = -1.1 - -0.1. Suppose 0 = -15*s + 28*s + 273. Let r be s/(-7)*(2 - (-11)/(-6)). Which is the closest to r? (a) -1/5 (b) x (c) 2/3
c
Let b be 2/10 + (-14 - 5339/(-380)). What is the nearest to 2 in 2/11, -2.3, b?
b
Let v = 42058 - 42058.11. Let i be (-4)/(-10)*3/3. Which is the closest to v? (a) -3/8 (b) i (c) 2
a
Let q = 4578 + -4577.7. What is the closest to q in -112, 0.5, -0.1, 2/3?
0.5
Let x = 0.05 + -6.05. Let d = -10 - x. Suppose -v + 12 = 2*z, -116*v + 115*v - 5*z = -30. What is the closest to 2 in v, d, 1?
1
Let b(y) = 75*y + 134. Let g be b(-2). Let l(t) = 12*t + 196. Let f be l(g). Let m = -1 - -1. What is the nearest to -2 in f, m, 3?
m
Let n = 199.89 - 199.69. Let x = 40/13 + -306/91. Which is the closest to x? (a) 2 (b) 0.5 (c) -0.45 (d) n
c
Let q be (-132)/(-165) + (0 - (-36)/(-70)). What is the nearest to -3/2 in 1/2, 3, q, 0?
0
Let y = -1.8739 - 0.1261. Which is the closest to y? (a) -4/7 (b) 1/4 (c) 0 (d) 41
a
Let d = 18114 + -18995. Which is the nearest to 3? (a) 6/11 (b) -0.3 (c) d
a
Let l = -581 + 577. Which is the closest to l? (a) 2/27 (b) -0.5 (c) 2/9
b
Let a = -1.89 - -39.89. Let g = 37.494 - -0.106. Let h = a - g. What is the closest to -3/4 in 1/2, -5, h?
h
Let w = 0.11 + 0.97. Let y = 2.607 - 5.687. Let q = w + y. What is the closest to 0.1 in -1/4, 4, q?
-1/4
Let n = -0.5 + 0.3. Let s = 6 - 4. Let g be 2*(-36)/3*8/(-64). Which is the nearest to s? (a) n (b) 0.2 (c) g
c
Let h = 411 + -363.4. Let y = h + -48.1. Which is the nearest to 2/9? (a) 1 (b) -2/13 (c) y
b
Suppose -25*y - 11*y + 144 = 0. Let h = 0.11 - 0.25. Let m = h + 0.24. Which is the closest to -2/5? (a) m (b) -1 (c) y
a
Let n = 7262.1 + -7262. Which is the nearest to 0.08? (a) 0.3 (b) -1 (c) 3 (d) n
d
Let o = 9132 - 9133. Which is the closest to o? (a) -1/7 (b) -4 (c) 0.2 (d) -14
a
Let i be 12/(-27) - ((14 - 13) + 6725/(-4662)). What is the nearest to i in 1, 0.3, 0.2?
0.2
Let o = 1561 + -1550.74. Let u = -11.26 + o. Let m = -0.01 + -1.99. Which is the closest to u? (a) m (b) 1/4 (c) -1
c
Let p = 0 - 0.1. Let g = 126 - 127. Let v = 0.0421 - -0.0579. What is the closest to v in -3, g, p?
p
Let t be 162/39 + (-2)/13. Let w = 93.8 + -98. Which is the nearest to -2/7? (a) t (b) w (c) 0.4
c
Let y(f) = -6*f + 17. Let h be y(6). Let n(q) = 4*q + 83. Let m be n(h). What is the closest to 2/17 in m, -5, -3?
-3
Suppose 4*w + 2*m - 26 = 0, 5*w + 0*w - 13 = 4*m. Let f be ((-2)/8)/(4 - w). What is the closest to 0.1 in f, 40, -4?
f
Let y = -3 + 6. Let i = -83547.5 + 83547. Let r be (-17)/35 - 4/(-14). What is the nearest to y in i, -5, r?
r
Let l be (15/6 + -1)/(3/8). Let z = -21.46 + 0.46. Let q = -24 - z. Which is the nearest to 1? (a) q (b) l (c) 2/13
c
Let f = -22/17 + 120/119. Let m = -35.02 - -35.42. What is the closest to 0 in -1, f, m, 2?
f
Let d be (621/46 + -15)/(-5 - (1 - 3)). Let h = -7 - -3. Let j = h + 3. Which is the nearest to d? (a) -3/2 (b) j (c) -3/5
c
Let n = 3869 - 3869. Which is the nearest to n? (a) 26 (b) 0.4 (c) -7
b
Let s = 14.79 + -2.09. Let d = s - 14.7. What is the nearest to -1 in 5, -0.5, d?
-0.5
Let l = -52.1 + -306.9. Let z = l - -434.4. Let n = -75 + z. Which is the nearest to -1/4? (a) 22 (b) n (c) -2/3
c
Let u be 16 + (-2)/(-6 + 96/18). Let r = -4.5 + 4. Let v = -0.5 + 0.4. Which is the nearest to v? (a) 0.5 (b) r (c) u
b
Let n = 4.12203 - 0.12203. Which is the nearest to -1? (a) n (b) 0.02 (c) 11 (d) -3
b
Let s = 224/51 - 9805/2244. Let r = -0.5 + 0.5. What is the nearest to r in -3, 2, s?
s
Suppose -3*d + 7 - 1 = 0. Let x be (3/4 - d)*4 + 9. What is the nearest to 1 in 0.3, x, -0.4, -2/11?
0.3
Let t be (0 + 3/10)*2. Let p = 1/205 + -90203/615. Let y = p - -147. Which is the closest to y? (a) 2 (b) t (c) -4
b
Let s = 0.3 - 1.3. Let y = 483.95 + -483.95. Which is the nearest to y? (a) -3 (b) 2/9 (c) s
b
Let p be 293118/(-1127) - (-4)/46. Let r be (-64)/p*-1 + 10/(-65). What is the nearest to 0.1 in 3, 2.6, r?
r
Let i = 211982 - 211980. Let j = -3 - -3.01. What is the nearest to -1/3 in j, -4, -5, i?
j
Let z = -320/147 - -16715/588. What is the nearest to -2/5 in 4.6, -1, z?
-1
Let b = 320 + -319.938. Let n = -0.038 - b. Let c = 2.2 - 2. What is the nearest to n in 1/13, 2/5, c?
1/13
Let k = -431 - -431. Let x be -1 - (-17*(-2)/(-12) + 2). What is the nearest to 0 in k, x, -16?
k
Let l = 0.16 - -2.44. Let v = l - -1.4. Let m = 431 + -434. Which is the closest to -0.1? (a) v (b) -1 (c) m
b
Suppose -2*d - 3*p = 8, -2*p = 3*d - 7 - 1. Which is the closest to -1? (a) -101 (b) d (c) 5/6
c
Let g = -34 - -39. Suppose -4*w = 3*v + 183, 126 = -4*w - 4*v - 62. Let m = -85/2 - w. What is the nearest to g in m, 0.5, 2?
2
Let h = -15 + 14.9. Let m be 3/2 - (-3)/(-2). Suppose 4*g - 8 = m, 3*t - 7 = -5*g + 6. What is the closest to t in h, -4, 4/5?
4/5
Let j = -0.3 + 0.1. Let w be 2*(-26)/(-60) + -25*(-58)/(-1450). Let p = 0.9 + -0.8. Which is the nearest to -0.1? (a) j (b) p (c) w
c
Let y = -14185 + 14189. Let j(q) = 18*q - 4. Let x be j(-7). Let c = -1432/11 - x. What is the closest to 0.2 in 0.3, c, y?
0.3
Let n(w) = -7*w**3 - 152*w**2 + 43*w - 25. Let s be n(-22). Which is the nearest to 1? (a) s (b) 2/9 (c) -1/4 (d) -18
b
Let i be 57/(2565/330) + (-7)/1. Which is the nearest to 1? (a) i (b) 3 (c) 3/4 (d) -1/4
c
Let q = -74 + 94. Let p(n) = n**2 - 25*n + 99. Let h be p(q). What is the nearest to h in -2/5, 1/4, -2/15?
-2/5
Let j = 1924 - 1923. Which is the nearest to -2? (a) -4 (b) -2/39 (c) j
b
Let v = -4996/19983 - -1/79932. Let x = -8 + 7.7. Let u be 1 + -2 + 18/14. What is the nearest to v in u, -4, x?
x
Let j be ((-4)/34)/(((-24)/272)/3*4). Let z = 0.1 - 0.3. Which is the nearest to 1? (a) z (b) -4 (c) j
c
Let c = 4924/13 - 379. Let b = 4780.5 - 4780. What is the closest to -0.1 in b, c, -5/3?
c
Let l = -44 - -34. Let g(w) = -8*w**3 - w**2 + w + 1. Let y be g(-1). Suppose 18 - 4 = y*r. Which is the closest to r? (a) 1 (b) l (c) 0.3
a
Let x(w) = -w**2 - 27*w + 57. Let z be x(2). Which is the closest to z? (a) -0.1 (b) 0.01 (c) -5/3 (d) 1/4
c
Let l = 61 + -64. Let t = 79 + -157/2. Let j = -1.8 + 2. What is the nearest to t in -1, j, l?
j
Let k = -0.07 + -0.05. Let q = -78.7 + 139.8. Let x = -61 + q. Which is the closest to x? (a) k (b) 1 (c) 2/11
c
Let y(g) = -272*g - 802. Let h be y(-3). Let z = -2.1 - -2. Let j = 15.5 - 16.5. Which is the nearest to z? (a) j (b) h (c) -1/5
c
Let y = 26 - 11. Suppose 17*i - 6 = y*i. Let j = 10 - 10.3. Which is the closest to -0.1? (a) j (b) i (c) -3
a
Let i = -980.81 + 986. Let j = i - 5.29. Let o = -0.9 - -0.5. Which is the closest to j? (a) -1/11 (b) o (c) 5
a
Let v(f) = f**3 + 9*f**2 + 3. Let g be v(-9). Let b be (14 + (-180)/14)*(-2)/8. What is the nearest to 2/3 in 5, b, g?
b
Let o = 520.46 - 522. Let k = 1.74 + o. Let x = 1 - 0.9. Which is the nearest to -0.1? (a) k (b) -0.1 (c) x
b
Let h = 0 - -0.1. Let w = -796944 - -796946. What is the nearest to -2/3 in 0.12, h, w?
h
Let o = 0.09 + 17.91. Let v = 18 - o. Let y = 271.5 - 272. Which is the closest to v? (a) y (b) -4 (c) -2/11
c
Let h = 210 - 119. Let b = 90.76 - h. Let q = b + 0.74. What is the closest to 0.07 in 4, q, 3?
q
Let u = -8249 - -8247.3. Which is the closest to 3? (a) u (b) 1 (c) -0.4 (d) 0
b
Let c be (39/24)/13 - (2 + 3/(-2)). What is the nearest to -1 in -3, 3, -2/49, c?
c
Let s = -3.27318 + 0.27318. What is the nearest to -2 in 0.3, 5, s?
s
Let v = -0.49 + -4.51. Let p be ( | {
"pile_set_name": "DM Mathematics"
} |
19 a factor of q?
False
Suppose -s + 33 = 9. Let t = s - -8. Does 32 divide t?
True
Let i be (-8)/6*(-642)/2. Suppose 4*k - z = i, 3*z = k - 5*k + 444. Suppose -v - k = -4*v. Is v a multiple of 12?
True
Suppose 4*l - 6 = 2*l. Suppose -2*i - 71 = -l*m, 20 = -5*m + 4*i + 141. Is 4 a factor of m?
False
Suppose -5*h + 3*h = -v - 1, -1 = 4*h - 3*v. Suppose 7*l = h*l. Suppose 4*b = -l*b + 144. Is b a multiple of 18?
True
Suppose -6*v + 2*v - 176 = 0. Let l = v + 101. Is l a multiple of 9?
False
Let r = -683 + 864. Is 78 a factor of r?
False
Let u(l) = 17 + 8*l + 2*l + l**2 - l + 3. Does 9 divide u(-10)?
False
Let k(n) = -45*n - 37. Let r(u) = 11*u + 9. Let f(d) = -6*k(d) - 26*r(d). Does 20 divide f(-12)?
True
Suppose 0*y - 8 = -y. Let n(x) = -x**3 + 9*x**2 - 4*x - 10. Is 11 a factor of n(y)?
True
Let n(p) = 6*p**3 + 8*p**2 - 18*p + 37. Is 13 a factor of n(5)?
True
Let p = -733 + 1039. Suppose 0*l = -3*l + 4*k + p, 5*k + 409 = 4*l. Suppose 5*o = -3*h + 200, 0 = -4*o + h + l + 37. Is 10 a factor of o?
False
Suppose -2*c + 7 = x, -2*x + 15 = 4*c + x. Suppose u + 5 = -5*i, -c*i + u = 2*u + 5. Suppose -t - 3*t = -3*b - 156, b - 4 = i. Is t a multiple of 21?
True
Let c(a) = 4*a**2 - 2*a - 4*a**2 + 2*a**2 + 6 - 3*a. Is c(4) a multiple of 6?
True
Suppose 0*d - 25 = -5*d. Suppose 3*f = -6, 0 = c + 3*c - f + 2. Does 10 divide (4*d)/(0 - c)?
True
Let l(r) = 2*r**2 - 4*r - 11. Let z be l(4). Suppose z*m = -5*f + 3*m + 298, -4*m = 3*f - 190. Is 10 a factor of f?
False
Suppose i - 5 = -2*b, -2*b + 7 = -b + 5*i. Suppose -y - 2 = -3*t + 39, 0 = -2*t - b*y + 38. Suppose 0 = l - t + 5. Does 4 divide l?
False
Suppose 10*f = 2643 + 1197. Is 8 a factor of f?
True
Let g be (-12 - 0)/(-4) + 198 + 1. Suppose 0*w = -2*f - 4*w + 96, 0 = 4*f - 2*w - g. Is 16 a factor of f?
False
Is 33 a factor of 0 + 410 - (-163 + 153)?
False
Let d(x) = 7*x + 7. Let y be d(-2). Let s(m) = m**2 + 8*m + 24. Does 14 divide s(y)?
False
Suppose 0*a + 18*a - 2970 = 0. Does 5 divide a?
True
Let k = 399 + -131. Let h = k + -115. Does 17 divide h?
True
Suppose 3*y = y + 626. Suppose 5*r = -5*l + y + 172, 4*r - 483 = -5*l. Suppose -5*u = -0*u - l. Is u a multiple of 6?
False
Let g(r) be the first derivative of 5*r**4/8 + r**3 + 3*r**2/2 - 12. Let m(a) be the second derivative of g(a). Is 22 a factor of m(5)?
False
Suppose -6 - 2 = 2*l. Let g = 14 + l. Does 3 divide g?
False
Let s(m) = m**2 + 12*m - 9. Let f be s(-13). Let t(z) = f*z + 2*z + 4*z - 4*z + 4 - z**2. Is t(5) a multiple of 9?
True
Let h(i) = 4 + i**2 - 2*i**2 - 12*i + 2. Let m be (7 + -6)*(1 - 0)*-10. Is 13 a factor of h(m)?
True
Suppose -10*m + 30*m - 3920 = 0. Is 49 a factor of m?
True
Let i = -62 + 59. Is 4 a factor of (-2)/i - (-4)/6*5?
True
Is 2 a factor of 1/(-6) - ((-117993)/(-18))/(-37)?
False
Let z = 678 - 337. Let t = z + -185. Is 20 a factor of t?
False
Suppose 5*s = 2794 + 1596. Does 18 divide s?
False
Let d(y) = -2*y**2 - 67*y + 84. Is 6 a factor of d(-24)?
True
Let p(l) = l**3 - 8*l**2 + 5*l - 3. Let i be p(7). Let c = i + 29. Suppose 0 = -5*s + 5*n + 60, 0 = -s - 0*n + 5*n + c. Does 8 divide s?
False
Let x = 2203 + -1592. Is x a multiple of 13?
True
Let j(p) = -p**2 - 14*p - 17. Let u be j(-13). Let o = 12 + u. Is 20 a factor of 82 - 1 - (-5 + o)?
False
Suppose -t = 3*f + 22, 0 = -f - 3*f - 5*t - 22. Let c(o) = -4*o + 2. Does 2 divide c(f)?
True
Suppose 0 = 4*i + 3*i - 28. Does 9 divide i*-3*(-195)/52?
True
Let h(n) = 22*n - 87. Is 5 a factor of h(16)?
True
Suppose 3*g = -2*k + 5328, 0 = 4*k + g - 10063 - 593. Is 12 a factor of k?
True
Let l = 120 + -62. Let f(w) = -w**3 - 7*w**2 - 7*w - 19. Let m be f(-5). Let q = l + m. Is 8 a factor of q?
True
Let o(t) be the third derivative of 0*t - 1/120*t**6 - 4/3*t**3 + 1/10*t**5 + 0 + 3/8*t**4 + 6*t**2. Is 6 a factor of o(7)?
True
Let b be (-9 - -4)/(5/18*-3). Let l be 1 + 1 - 2 - -4. Does 13 divide (l/b)/(16/936)?
True
Let u(z) be the third derivative of z**5/30 + z**4/2 + 8*z**3/3 + 5*z**2. Is 10 a factor of u(-7)?
True
Let w(c) = 37*c**3 + c**2 - 2*c + 1. Let v be w(1). Let t = 40 - v. Does 3 divide t?
True
Let q = -57 - -71. Is q even?
True
Suppose -18*l - 18095 = -25*l. Does 55 divide l?
True
Let k = 20 - 41. Suppose 0 = y + 5*n - 39, 2*n + 171 = 4*y - 29. Let t = k + y. Is t a multiple of 5?
False
Let p be (-3 - (-16)/6)*-54. Suppose -8*r + p = -2*r. Let d = r - -11. Is d a multiple of 14?
True
Suppose -4*k - 3*z + 191 = -3, z = 3*k - 152. Suppose 0 = 5*v + 355 - k. Let d = v - -85. Is d a multiple of 12?
True
Suppose 4*d + 8 + 6 = 2*h, 2*d = -4*h - 2. Does 3 divide (h - -5)*(-3 + (-14)/(-4))?
True
Suppose -5*c - 3*h = -322, -3*c - 5*h + 292 = 86. Suppose 0*s + c = s. Is s a multiple of 15?
False
Let m = 1579 - 1051. Does 20 divide m?
False
Suppose 16*z - 26 = 3*z. Suppose -4 = 2*l, 89 = u - 0*l - z*l. Is u a multiple of 5?
True
Suppose 0 = -2*l + m + 445, l - 5*l = -4*m - 884. Is 16 a factor of l?
True
Let q be (24/(-5))/(6/(-180)). Suppose 0 = -5*j + j + q. Does 4 divide j?
True
Let d(y) = -3 - 3 - 2*y + 3. Let q be d(-7). Let v = 28 - q. Does 12 divide v?
False
Let y(w) = w**3 - 4*w**2 + w - 13. Let l be y(5). Suppose -32 = l*k - 21*k. Does 4 divide k?
True
Suppose -5*j = 2*r - 10, -4*r - j + 26 = 6. Suppose -48 = r*n - 8*n. Is 8 a factor of n?
True
Suppose 0 = 529*r - 522*r - 4515. Is r a multiple of 5?
True
Is ((-12)/15 + 2)/((-141)/(-103400)) a multiple of 10?
True
Suppose d + 270 - 402 = 0. Is d a multiple of 34?
False
Suppose 0 = 7*b - 6*b - 9. Suppose 3*d = 4*l - 36, -5*l + d = -25 - b. Is 6 a factor of l?
True
Let f be 2/(-3) + (-40)/(-6). Let x = -18 + 26. Let v = x + f. Does 14 divide v?
True
Let a = 27 - 22. Suppose f - 3*f - 39 = a*h, -21 = 4*h + 5*f. Does 23 divide (-30)/h*162/15?
False
Let k(i) = i**3 - i**2 - 13*i + 7. Let g be k(5). Does 9 divide g/112 + 138/16?
True
Let p(z) = 57*z + 658. Does 11 divide p(21)?
False
Suppose 0 = -3*z - 3*z - 792. Let y = 186 + z. Is 9 a factor of y?
True
Let y = 97 + -93. Suppose -4*w - 6*k + 230 = -y*k, 3*k = -3*w + 174. Is w a multiple of 19?
True
Is 72/5*(-645)/(-86) a multiple of 3?
True
Let c = -33 - -9. Let j = c + 38. Does 14 divide j?
True
Let u = -4 - -9. Suppose -4*m - 16 = 0, -u*m = 2*q - 4*m + 14. Let f = 7 + q. Is f even?
True
Let m be (-1 - (-2)/(-8))*(4 + -8). Suppose -m*j + 192 = 17. Is j a multiple of 5?
True
Suppose 28*c - 8*c - 1900 = 0. Is c a multiple of 24?
False
Suppose 7*f - 634 = 1424. Is f a multiple of 21?
True
Suppose t + 4 + 1 = 0. Is 3 a factor of -6*t/(-10)*-2?
True
Let d(y) be the first derivative of -y**4/4 - 4*y**3/3 + 5*y**2/2 - 14*y + 4. Is 7 a factor of d(-6)?
True
Does 28 divide (-51667)/(-121)*1*2?
False
Let f = -553 + 1437. Does 101 divide f?
False
Suppose -5 = -g - 3*s - 2*s, 5*s = 2*g - 10. Suppose -2*x + 5*v - 500 = -3*x, 0 = g*v + 20. Suppose 7*i - 2*i = x. Is i a multiple of 23?
False
Let u(a) = 3*a - 4 - a - 5*a - 4*a**2 - 9*a**3. Let v be u(-4). Suppose 4*t = -b + 2*t + 112, v = 5*b + 2*t. Is 32 a factor of b?
False
Let r = -25 + 4. Let k = 111 + r. Is k a multiple of 10?
True
Let c(o) be the first derivative of -7*o**2/2 + 4*o - 53. Suppose -42 = 5*v - 2. Does 23 divide c(v)?
False
Let o = 0 + -1. Let m(w) = -w**2 + 12*w - 16. Let c be m(9). Is 9 a factor of c - (-3)/o - -1?
True
Suppose 4*n + g + 3*g - 152 = 0, 4*g + 86 = 3*n. Suppose u - 2 = -z, 5*z = u + 4 + 12. Suppose 0 = -4*r + w + z*w + 124, -r = -4*w - n. Does 10 divide r?
True
Let o = 19 - 23. Let c(y) = -2*y**3 - 8*y**2 - 9*y - 2. Is 34 a factor of c(o)?
True
Let y(q) = -q**3 + 12*q**2 - q - 9. Let n be y(12). Let t = n + 252. Is 33 a factor of t?
True
Let z(r) = -3*r + 20. Let x be z(6). Suppose -2*f + 5*o + 3 = 9, x = 5*f - 4*o. Is (-38)/1*(-3)/f a multiple of 19?
True
Suppose 3*j + 106 = -5*m, -j - 4*m = j + 68. Let w be 6/j + (-40)/14. Does 17 divide 54 + w + -1 + -3?
False
Let a be (-3 - 599)/((-2)/1). Suppose 266 = -0*c + 4*c - 2*o, 0 = 4*c + 5*o - a. Is c a multiple of 17?
False
Let g = -214 + 302. Let i = 83 + g. Is i a multiple of 19?
True
Let p(l) = -3*l**2 + 10*l - 7. Let f(z) = z**2 - 5*z + 4. Let h be (-1)/(3/(-2) - -1). Let c(n) = h*p(n) + 5*f(n). Is 3 a factor of c(-5)?
True
Suppose 0 = 2*v - 4*n - 14, 2 = -n - 0*n. Suppose 0 = 4*q - 5*o - 423, 41 = q - v*o - 70. Does 12 divide q?
False
Let a = -132 - | {
"pile_set_name": "DM Mathematics"
} |
nd 308.9.
310.413
-3.69+0.06
-3.63
Work out -583.52 + -0.2.
-583.72
Add together 110 and -126.
-16
What is -3 + -1645.62?
-1648.62
-768.1 + 171
-597.1
Calculate -137.6 - -0.46.
-137.14
What is -267.5 - -1017?
749.5
Calculate -0.5 - -0.1227439.
-0.3772561
What is -0.0525 plus 59?
58.9475
Calculate 1 - -0.6448.
1.6448
What is 299.49 less than -2?
-301.49
Put together -0.192 and 65.
64.808
-0.167 - -0.28093
0.11393
What is 2918 + 0?
2918
What is -13314.862 plus 0.4?
-13314.462
Work out -5 + -105.
-110
-57+678
621
What is the difference between 0.436 and 0.0097?
0.4263
Calculate -0.13 - 49442.
-49442.13
Total of -21.966 and 0.2.
-21.766
What is the distance between 20402 and 0.082?
20401.918
2+492185
492187
Put together 0.943 and -2.
-1.057
Total of 0.4 and 0.01198.
0.41198
What is -220 take away -0.00215?
-219.99785
16 + -29426
-29410
Total of -1.303 and -0.1332.
-1.4362
What is -2.24232 + 0.4?
-1.84232
Total of 4689 and -0.098.
4688.902
Sum 4 and 141.8.
145.8
-56271 - 13
-56284
Add -173494 and -0.1.
-173494.1
What is the distance between -58 and -9.97?
48.03
Sum 6823 and 60.3.
6883.3
What is 13.82 + -0.188?
13.632
Work out 3832 + -0.5.
3831.5
What is the difference between -64 and 9.2?
73.2
Put together -0.3 and 624.
623.7
Put together -481080.3 and 4.
-481076.3
2 + 0.059
2.059
What is -0.2 minus 309?
-309.2
Calculate -75 - -4140.
4065
-2 + -23.47
-25.47
What is the difference between -0.1 and -82592?
82591.9
What is the distance between -0.2 and 174.83?
175.03
What is -0.036 plus 332.8?
332.764
Calculate 40.419 - 18.
22.419
Work out 55 - -61.
116
Work out -363.5 - -0.06.
-363.44
What is 0.9 take away -0.1?
1
Work out -0.00653 + -0.02.
-0.02653
0.0751 - -49
49.0751
Add together 0.2 and -56878.
-56877.8
What is 9754 less than 0.073?
-9753.927
Subtract 0.3 from -8478806.
-8478806.3
-0.5 + 14.7553
14.2553
Work out -0.19567 - -0.4.
0.20433
Work out -104.1 - -53.
-51.1
-160198 - 0.5
-160198.5
-0.2+-0.353
-0.553
What is -5.504 - -34?
28.496
Subtract 737 from 5.
-732
What is 0.2 - 5427?
-5426.8
5409.66 + 6
5415.66
What is the difference between 11651225 and -4?
11651229
Calculate 90 + -0.5.
89.5
Add 0.3 and -0.14734.
0.15266
Put together 5 and -150426.
-150421
What is -0.8 minus -7147.2?
7146.4
Subtract -8.403 from 0.3.
8.703
What is -0.4 take away -1632419?
1632418.6
What is 1.1 take away 500?
-498.9
94.44 + -0.1
94.34
What is -5 + -151?
-156
What is -4 plus -42765?
-42769
What is 0.1 - -0.0096?
0.1096
0.38+46788
46788.38
0.386 + 0.074
0.46
What is -0.3 minus 0.2063?
-0.5063
What is -457 take away -0.2?
-456.8
What is the difference between -0.279 and 0.4?
0.679
Work out 6569 - -3.
6572
Sum 2234 and 1.
2235
What is -2 take away 81084?
-81086
What is the distance between 0.8 and 0.764?
0.036
16+-742
-726
Work out 136.4 + -176.
-39.6
-172 - 0.03
-172.03
Add together -18168 and -0.3.
-18168.3
-2 - 9.61921
-11.61921
What is -43.95 plus 8?
-35.95
Add together -1100.5 and -2.
-1102.5
Work out 70 - -2.3736.
72.3736
What is -1.295 - 4?
-5.295
Calculate 0.0786 + 0.
0.0786
What is -2812 - 0.1182?
-2812.1182
-470 + -5.4
-475.4
-578.2+0.3
-577.9
Work out 7 + 9.8.
16.8
Subtract -0.3 from 47368.
47368.3
Subtract -37.71 from -747.
-709.29
4.4 - 963
-958.6
What is -0.00128 plus -0.5?
-0.50128
0.1 + -2663
-2662.9
Put together 523 and 0.2.
523.2
What is -0.3 take away -6.69?
6.39
What is 871 less than 0?
-871
What is the distance between 0.5 and -1339?
1339.5
Add -61388 and 0.1.
-61387.9
What is 0.1 take away 6232?
-6231.9
What is 4.31 take away 12?
-7.69
Work out 0.18 + -896.
-895.82
What is 2408 + 0.1?
2408.1
Add together -4 and -310785.
-310789
Add together 5.97 and 1.
6.97
Subtract -1107 from -1268.
-161
What is 1 minus 49107?
-49106
233622+2
233624
Sum 14961949 and 0.
14961949
Work out 10106 + -0.8.
10105.2
What is 247 less than 9.9?
-237.1
What is -0.5 minus 7873?
-7873.5
What is the distance between 15 and 6?
9
Add together 1 and 473.
474
Calculate 1722 - 149.
1573
Add -500.2822 and 5.
-495.2822
What is 0.233 take away -60.9?
61.133
Add -0.0379 and 0.042.
0.0041
Calculate 3335629 - 4.
3335625
0.5 - -501.4
501.9
What is -1 - -295?
294
-0.46672+-0.8
-1.26672
Sum -478.1 and -0.4.
-478.5
Total of -0.4 and 451.
450.6
What is -106.17 + -0.11?
-106.28
What is the difference between 0.01 and -0.193911?
0.203911
4 + -202321
-202317
What is -0.1517 - 0.7?
-0.8517
Calculate -0.05 + 2.1.
2.05
Calculate 0.09 + -0.061.
0.029
0.047 - 6207
-6206.953
What is 2.8 + 129?
131.8
What is 0.85 minus -1?
1.85
What is 4280 - 0.4?
4279.6
Add together -0.4 and 235.
234.6
Add 0.4 and 1635449.
1635449.4
Work out -4165 + 0.2.
-4164.8
What is the distance between -206 and -0.4568?
205.5432
Add -0.028 and 0.26.
0.232
Work out 68 - 241.8.
-173.8
Work out 15.06 + 3.
18.06
Calculate 642 - -361.
1003
What is 868.28 take away 9?
859.28
What is -77.61 take away -0.5?
-77.11
What is -0.052738 + 1?
0.947262
Add -0.3 and -1195.
-1195.3
Calculate -1086.033 + 0.5.
-1085.533
Subtract -59.3 from 269.
328.3
What is -50664.1 less than 0.4?
50664.5
What is 13587 - -0.4?
13587.4
What is -1670 plus 2?
-1668
-26.5+0.02
-26.48
Work out -0.24 - 159.
-159.24
Add -558 and -585.
-1143
Calculate -3837.7 - 0.3.
-3838
Add 0.92 and -42281.
-42280.08
Sum -604965 and 3.
-604962
Subtract 17491 from 0.2.
-17490.8
Subtract 0.1185 from -8.
-8.1185
Calculate 0.325 + -3.
-2.675
What is -0.00199 - 3?
-3.00199
Work out -0.93 - 37.
-37.93
What is 0.3 less than 2336?
2335.7
-1547162 - 0.3
-1547162.3
What is 0.0082 plus -0.881?
-0.8728
Add 5 and 46225.
46230
What is -4 less than -8687230?
-8687226
Add 0.0729 and 0.64.
0.7129
Total of 51 and 1.8.
52.8
Total of 6010 and -0.2.
6009.8
Calculate 1867 - -4.
1871
What is 0.8 minus 105?
-104.2
Total of 2.9068 and 5.
7.9068
Sum -8 and 17.4703.
9.4703
What is -2 minus -242.1?
240.1
Work out -21624 + 28.
-21596
Add together -469394 and -3.
-469397
Calculate -1 + 0.242.
-0.758
Work out -4 + 173.94.
169.94
What is -0.08 take away -21148?
21147.92
What is -16.404 take away -0.035?
-16.369
Work out 0.4 + -662.
-661.6
Put together -0.073 and -0.21.
-0.283
What is -2105 plus 0.4?
-2104.6
-199.964+22
-177.964
Put together -571 and 8517.
7946
Work out -0.5 + -0.1271.
-0.6271
What is 4 take away 1.2095?
2.7905
What is -5 take away -0.533?
-4.467
What is 0.157 plus -56?
-55.843
285 + -39
246
Work out 629 + -3.89.
625.11
Put together 46462 and 0.11.
46462.11
What is -11.3 minus 2304.3?
-2315.6
Sum -0.4 and 2468558.
2468557.6
Subtract -11 from 23422.8.
23433.8
What is 13 minus -0.54?
13.54
Add 0 and -7674.
-7674
What is -3.043 plus -0.2?
-3.243
Sum 68 and 0.41.
68.41
What is 1.10439 - 5.4?
-4.29561
Calculate -3 - 57.7.
-60.7
Add together 0.03 and 1.4376.
1.4676
Work out 147477 + -0.4.
147476.6
Calculate 1.8 - -784.
785.8
What is -2.01386 take away -0.1?
-1.91386
Add 314 and -33.311.
280.689
-2+-20.406
-22.406
What is -0.249 - -0.4?
0.151
What is the distance between 968 and 157?
811
Total of -0.5 and 279399.
279398.5
0.2024 + 5
5.2024
Put together -0.1 and 0.04.
-0.06
Calculate 1.262494 + -3.
-1.737506
Subtract -1058 from -1321.
-263
Add together 191 and -0.2.
190.8
What is -0.315 + -19751?
-19751.315
What is -0.5 take away 3899.3?
-3899.8
What is -41.7 plus 4?
-37.7
Calculate -2730 - -0.059.
-2729.941
Subtract -0.179 from 0.2.
0.379
What is 0.237 minus -2.77?
3.007
Work out 12345 + 3.
12348
-0.1393 - 0.16
-0.2993
Calculate 0.1 - 879494.
-879493.9
Work out -0.92 - -0.02067.
-0.89933
What is -1.52 plus 0.198?
-1.322
What is 0.01 minus -213?
213.01
Put together 4 and -215.
-211
Put together -39134 and 0.2.
-39133.8
What is -442040 minus -6?
-442034
What is 0.069 - 7602.9?
-7602.831
119 + 9431
9550
What is 20 + 952?
972
Subtract 827421 from -0.3.
-827421.3
What is 11564.4 plus 1?
11565.4
What is -0.16 less than -64.6?
-64.44
What is -212.111 less than 1?
213.111
Work out 244918.7 - -0.1.
244918.8
What is 415.41 - -0.12?
415.53
Calculate -18.814 - 36.
-54.814
What is 0 minus -347?
347
Add together -5 and -20.
-25
What is -5271 minus -4.5?
-5266.5
Put together -149 and -5.
-154
4286.3 + 66
4352.3
What is -4906620 - -3?
-4906617
What is 0.14 take away -715.49?
715.63
Subtract 18.3 from 19.7.
1.4
What is 246.4 minus -2?
248.4
What is -2 take away 0.545?
-2.545
What is 3934 plus -6?
3928
Add 3573 and 0.084.
3 | {
"pile_set_name": "DM Mathematics"
} |
r when 2403 is divided by 298.
19
Calculate the remainder when 457 is divided by 205.
47
What is the remainder when 8061 is divided by 148?
69
What is the remainder when 21593 is divided by 60?
53
What is the remainder when 8717 is divided by 40?
37
What is the remainder when 1222 is divided by 156?
130
Calculate the remainder when 84412 is divided by 3012.
76
What is the remainder when 9658 is divided by 59?
41
What is the remainder when 36426 is divided by 33?
27
What is the remainder when 48298 is divided by 65?
3
What is the remainder when 5248 is divided by 77?
12
Calculate the remainder when 1292 is divided by 459.
374
What is the remainder when 2046 is divided by 69?
45
Calculate the remainder when 14047 is divided by 593.
408
Calculate the remainder when 284078 is divided by 1833.
1796
What is the remainder when 3622 is divided by 250?
122
Calculate the remainder when 1683 is divided by 1170.
513
What is the remainder when 116143 is divided by 7?
6
Calculate the remainder when 31739 is divided by 345.
344
What is the remainder when 167151 is divided by 55713?
12
Calculate the remainder when 541617 is divided by 36.
33
Calculate the remainder when 105593 is divided by 26.
7
What is the remainder when 35595 is divided by 352?
43
Calculate the remainder when 205211 is divided by 746.
61
Calculate the remainder when 6065 is divided by 1504.
49
Calculate the remainder when 250962 is divided by 135.
132
What is the remainder when 11776 is divided by 318?
10
What is the remainder when 987686 is divided by 329228?
2
Calculate the remainder when 40996 is divided by 200.
196
Calculate the remainder when 287921 is divided by 364.
361
What is the remainder when 6203 is divided by 38?
9
What is the remainder when 87531 is divided by 7957?
4
What is the remainder when 895 is divided by 15?
10
Calculate the remainder when 37464 is divided by 721.
693
What is the remainder when 6113 is divided by 380?
33
Calculate the remainder when 41336 is divided by 130.
126
Calculate the remainder when 10790 is divided by 51.
29
Calculate the remainder when 4441 is divided by 11.
8
What is the remainder when 12753 is divided by 5911?
931
What is the remainder when 1773184 is divided by 118?
116
What is the remainder when 715200 is divided by 12122?
2
Calculate the remainder when 93156 is divided by 17.
13
Calculate the remainder when 245418 is divided by 1741.
1678
Calculate the remainder when 11693 is divided by 887.
162
Calculate the remainder when 3881 is divided by 228.
5
Calculate the remainder when 1065168 is divided by 3436.
8
Calculate the remainder when 19582 is divided by 595.
542
What is the remainder when 667717 is divided by 8?
5
What is the remainder when 621031 is divided by 277?
274
Calculate the remainder when 41141 is divided by 10218.
269
Calculate the remainder when 2370 is divided by 61.
52
What is the remainder when 2623 is divided by 98?
75
What is the remainder when 333644 is divided by 13900?
44
What is the remainder when 250353 is divided by 108?
9
What is the remainder when 3831 is divided by 139?
78
What is the remainder when 69460 is divided by 52?
40
Calculate the remainder when 1011541 is divided by 14.
13
Calculate the remainder when 16293 is divided by 7950.
393
What is the remainder when 1499 is divided by 24?
11
Calculate the remainder when 106122 is divided by 52.
42
Calculate the remainder when 252220 is divided by 50428.
80
Calculate the remainder when 654853 is divided by 327426.
1
What is the remainder when 12280 is divided by 135?
130
What is the remainder when 19877 is divided by 6521?
314
What is the remainder when 72929 is divided by 72887?
42
Calculate the remainder when 5422 is divided by 47.
17
What is the remainder when 56496 is divided by 7062?
0
What is the remainder when 6800 is divided by 30?
20
Calculate the remainder when 157599 is divided by 4924.
31
Calculate the remainder when 71776 is divided by 14.
12
What is the remainder when 5201 is divided by 34?
33
What is the remainder when 117938 is divided by 31?
14
What is the remainder when 106861 is divided by 14?
13
Calculate the remainder when 11759 is divided by 2334.
89
Calculate the remainder when 6372 is divided by 1813.
933
Calculate the remainder when 5884 is divided by 245.
4
Calculate the remainder when 313253 is divided by 52207.
11
What is the remainder when 7937 is divided by 3961?
15
Calculate the remainder when 2475450 is divided by 7760.
10
Calculate the remainder when 8173 is divided by 41.
14
Calculate the remainder when 56957 is divided by 1212.
1205
What is the remainder when 724671 is divided by 8?
7
Calculate the remainder when 323 is divided by 204.
119
Calculate the remainder when 8517 is divided by 232.
165
Calculate the remainder when 3182 is divided by 292.
262
Calculate the remainder when 4697 is divided by 243.
80
Calculate the remainder when 12100 is divided by 928.
36
What is the remainder when 13541 is divided by 13497?
44
What is the remainder when 96639 is divided by 22?
15
What is the remainder when 115542 is divided by 346?
324
Calculate the remainder when 77138 is divided by 129.
125
What is the remainder when 14877 is divided by 383?
323
What is the remainder when 38915 is divided by 22?
19
What is the remainder when 45354 is divided by 45337?
17
Calculate the remainder when 114795 is divided by 57396.
3
Calculate the remainder when 3530 is divided by 61.
53
Calculate the remainder when 492394 is divided by 195.
19
Calculate the remainder when 1807463 is divided by 181.
178
Calculate the remainder when 4091892 is divided by 13.
12
Calculate the remainder when 16468 is divided by 142.
138
What is the remainder when 6664 is divided by 1663?
12
Calculate the remainder when 1263 is divided by 1094.
169
Calculate the remainder when 851888 is divided by 373.
329
What is the remainder when 4044 is divided by 188?
96
Calculate the remainder when 3988353 is divided by 35.
33
What is the remainder when 18099 is divided by 50?
49
What is the remainder when 400063 is divided by 133?
132
Calculate the remainder when 93373 is divided by 93371.
2
What is the remainder when 17376 is divided by 774?
348
What is the remainder when 160539 is divided by 163?
147
What is the remainder when 454 is divided by 280?
174
What is the remainder when 215615 is divided by 6735?
95
Calculate the remainder when 456609 is divided by 103.
10
What is the remainder when 4194 is divided by 464?
18
What is the remainder when 27856 is divided by 36?
28
Calculate the remainder when 175323 is divided by 25.
23
What is the remainder when 2154 is divided by 9?
3
Calculate the remainder when 3560 is divided by 349.
70
Calculate the remainder when 6801 is divided by 755.
6
Calculate the remainder when 2365 is divided by 213.
22
Calculate the remainder when 19760 is divided by 272.
176
What is the remainder when 4904 is divided by 535?
89
What is the remainder when 84509 is divided by 32?
29
Calculate the remainder when 45997 is divided by 92.
89
What is the remainder when 1434 is divided by 300?
234
What is the remainder when 595535 is divided by 207?
203
What is the remainder when 17409 is divided by 5803?
0
What is the remainder when 18407 is divided by 18?
11
What is the remainder when 7166 is divided by 211?
203
Calculate the remainder when 7223 is divided by 1532.
1095
What is the remainder when 2178 is divided by 2176?
2
Calculate the remainder when 514789 is divided by 82.
75
Calculate the remainder when 88444 is divided by 22.
4
Calculate the remainder when 556994 is divided by 278474.
46
What is the remainder when 2625 is divided by 110?
95
Calculate the remainder when 1224724 is divided by 202.
200
What is the remainder when 8044 is divided by 362?
80
Calculate the remainder when 2520 is divided by 2458.
62
What is the remainder when 1522432 is divided by 10?
2
Calculate the remainder when 469947 is divided by 482.
479
What is the remainder when 6027 is divided by 1502?
19
Calculate the remainder when 913086 is divided by 179.
7
What is the remainder when 628321 is divided by 528?
1
What is the remainder when 1818 is divided by 35?
33
Calculate the remainder when 21876 is divided by 30.
6
What is the remainder when 64928 is divided by 151?
149
What is th | {
"pile_set_name": "DM Mathematics"
} |
t(13)*1)**2.
-624 + 4*sqrt(13)
Simplify (5 + (sqrt(1100) - (sqrt(1100) + sqrt(1100)*2 + -5 + sqrt(1100)) - (sqrt(1100) - -1*sqrt(1100))*-3 - (4 + -1 + sqrt(1100) + 1 + sqrt(1100))))**2.
120*sqrt(11) + 1136
Simplify 1*(1*2*sqrt(200) - (-3 + sqrt(200) + 0))**2.
60*sqrt(2) + 209
Simplify (sqrt(4000)*1)/sqrt(8) + (sqrt(320))**2*2 + -2 + 3.
10*sqrt(5) + 641
Simplify (sqrt(63) + -2*sqrt(252))/(-1*sqrt(9)*-3) + 1.
-sqrt(7) + 1
Simplify ((sqrt(396) - (sqrt(396) + 0)) + 2 + 2 - (((sqrt(396) - (sqrt(396) + sqrt(396)*-1)) + 3)**2 + -2)) + 5.
-394 - 36*sqrt(11)
Simplify (sqrt(6)/sqrt(3) + -4 - sqrt(2)) + (sqrt(90)/sqrt(5))**2 - (sqrt(200) + 0 - -3*sqrt(2)*-4).
2*sqrt(2) + 14
Simplify ((2*sqrt(2400)*3)/(sqrt(88)/(sqrt(11) - (4*sqrt(11) - sqrt(11)))*-5))**2.
1728
Simplify -4*(-1*sqrt(3)*2 + 3*sqrt(24)/sqrt(8))**2.
-12
Simplify -6*(sqrt(38)/sqrt(2) + -3) + 4*sqrt(475)*2.
18 + 34*sqrt(19)
Simplify -2 + -3 + (-1*(-2 + sqrt(637)))**2*5.
-140*sqrt(13) + 3200
Simplify -4 + ((sqrt(180) + (sqrt(180) - (sqrt(180) + -1 + sqrt(180))) + sqrt(180) + sqrt(180))*5)**2*6.
3600*sqrt(5) + 108146
Simplify (-2*sqrt(33)*2 + sqrt(33) + (1*sqrt(132) - sqrt(132) - sqrt(132)))/(6*sqrt(121)/(sqrt(11) + (sqrt(11) - sqrt(77)/sqrt(7)))).
-5*sqrt(3)/6
Simplify (-5*(-1 + sqrt(80)))**2 + 3 - (sqrt(20)/(sqrt(4) - sqrt(4)*2) - ((sqrt(245)/sqrt(7))/sqrt(7))**2).
-199*sqrt(5) + 2033
Simplify (-6*sqrt(1300)*-2 + sqrt(1300))/(((sqrt(8) - sqrt(24)/(sqrt(3)*-1)) + sqrt(8))/sqrt(2)).
65*sqrt(13)/3
Simplify (sqrt(51) + sqrt(357)/(sqrt(7) - (sqrt(343) + sqrt(7) - sqrt(7)) - sqrt(7)) + sqrt(51))/(3*sqrt(243)).
13*sqrt(17)/189
Simplify sqrt(832) - -4*4*sqrt(832) - sqrt(832) - (1 + sqrt(832)*-2).
-1 + 144*sqrt(13)
Simplify -2 + (sqrt(180) - (-2 + (-3*sqrt(180))**2))*-3.
-18*sqrt(5) + 4852
Simplify (sqrt(120)/((sqrt(48)/sqrt(3))/sqrt(2)))/(-1*sqrt(80)/sqrt(4)).
-sqrt(3)/2
Simplify 3 + 0 + (sqrt(2) - sqrt(4)/sqrt(98) - (sqrt(4)/sqrt(2) + 1))*6.
-3 - 6*sqrt(2)/7
Simplify (1*((sqrt(91) - (sqrt(91)*-3 - sqrt(91))) + sqrt(91)) - sqrt(91))/((sqrt(378)/sqrt(9))/sqrt(6)).
5*sqrt(13)
Simplify (-5 + 5*((6*sqrt(2448)*2 + sqrt(2448) - sqrt(2448)) + 1*sqrt(2448)*-5))**2.
-4200*sqrt(17) + 2998825
Simplify (-2 + (sqrt(2736) - -5*(0 + sqrt(2736))) + (sqrt(2736) - (1*(2 + sqrt(2736) + sqrt(2736) + sqrt(2736)) + sqrt(2736))))**2.
-288*sqrt(19) + 24640
Simplify (sqrt(7) + sqrt(7)*-2 + -1)*1 + -2 - (-2 + sqrt(7)*-1*-5 + (1*sqrt(42))/sqrt(6)).
-7*sqrt(7) - 1
Simplify (-1*-2*sqrt(468)*5 - (sqrt(468)*2 + 3 - (sqrt(468) + -1 + sqrt(468) + 5)))**2 + 5.
120*sqrt(13) + 46806
Simplify (4*sqrt(14)*-4)/((2*sqrt(6) + sqrt(6))/sqrt(3)) + 0.
-16*sqrt(7)/3
Simplify (sqrt(100)/(sqrt(4)/sqrt(2)) - sqrt(1250)*-2)/(sqrt(160)*2 + sqrt(120)/sqrt(192)).
4*sqrt(5)/3
Simplify ((-2 + sqrt(68))*-3 - -1*sqrt(68)*4)*-3.
-6*sqrt(17) - 18
Simplify ((2*sqrt(132)*-1 - sqrt(132)) + sqrt(132) + sqrt(132) + sqrt(132)*2*5)/(sqrt(144)/((sqrt(120)*4 + sqrt(120))/sqrt(10))).
45*sqrt(11)
Simplify (-4 + 0 + sqrt(1053) + 0 + sqrt(1053) + 0 + 0)**2.
-144*sqrt(13) + 4228
Simplify 6*((sqrt(180) + -2*sqrt(180)*-1)/sqrt(12))/(sqrt(36)/(-1*sqrt(1452))).
-198*sqrt(5)
Simplify (0 + (sqrt(38)/(-1*sqrt(242)) - (0 + (sqrt(171)/sqrt(3))/sqrt(3))) + -4)**2.
96*sqrt(19)/11 + 4672/121
Simplify (-2*sqrt(1584) + (sqrt(11) - ((sqrt(11) - sqrt(22)/(2*sqrt(2) + sqrt(2))) + sqrt(11))))**2 - (sqrt(704) - -3*(-1 + sqrt(704)))*3.
-96*sqrt(11) + 60317/9
Simplify ((sqrt(480)*2 + sqrt(480) + sqrt(480) - sqrt(480))*3)/(sqrt(1440)*2 + sqrt(1440) + sqrt(10)).
36*sqrt(3)/37
Simplify (sqrt(204) + sqrt(204)*-1)/sqrt(12) + 0 + -6*(sqrt(17) + 0 + -1).
-6*sqrt(17) + 6
Simplify 3*(sqrt(180) + (sqrt(180) - ((0 + (sqrt(180) - (sqrt(180)*-3 + sqrt(180))))**2 + sqrt(180)))) + (sqrt(180) + 3*sqrt(180) + sqrt(180))**2*-6*-5.
18*sqrt(5) + 130140
Simplify (sqrt(60)/sqrt(3) - sqrt(30)/(sqrt(24) + sqrt(6)) - (-4 + (sqrt(5) + 3 + sqrt(5))*1))**2.
-2*sqrt(5)/3 + 14/9
Simplify -3*(5 + (1*sqrt(63) - (-1 + -2*sqrt(7)))).
-15*sqrt(7) - 18
Simplify (4*(sqrt(325) + 0) + 0 - (-3*-1*sqrt(325) - (-2 + -1 + sqrt(325))))**2.
-60*sqrt(13) + 1309
Simplify (-2 + (sqrt(1008) + 2 - sqrt(1008)))**2 + 2 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 3)))**2.
-72*sqrt(7) + 1019
Simplify 1 + (4*(sqrt(528) + sqrt(528)*1))/(-2*sqrt(1331) + sqrt(11))*-4.
1 + 128*sqrt(3)/21
Simplify -4 + 6*(sqrt(539) - (sqrt(539) + sqrt(539) + ((sqrt(539) - (0 + sqrt(539))) + sqrt(539))**2 + sqrt(539) + sqrt(539)))*2.
-6472 - 252*sqrt(11)
Simplify (0 + (-3 + sqrt(128)*1)**2)*5.
-240*sqrt(2) + 685
Simplify (-3*sqrt(891)*-2 - (-1 + sqrt(891)*-6 + sqrt(891))**2) + -2.
-22278 - 36*sqrt(11)
Simplify (5*-4*(sqrt(152) + sqrt(152)*1))/(sqrt(648) - (sqrt(648) + (sqrt(648) - sqrt(648)*2) + sqrt(648)) - sqrt(648) - sqrt(16)/sqrt(2)*-3).
20*sqrt(19)/3
Simplify -1*((sqrt(325) + 4)**2 - sqrt(325)) - sqrt(104)/(sqrt(32)*1).
-341 - 71*sqrt(13)/2
Simplify (sqrt(88) + sqrt(88)*1*-6)/(sqrt(8) + sqrt(8) + (3*sqrt(72))/sqrt(9)).
-sqrt(11)
Simplify (1 + -5 + -4 + sqrt(176) - (sqrt(176) - sqrt(176)*4)*1*1)**2.
-256*sqrt(11) + 2880
Simplify (-4 + (1*sqrt(448))/(sqrt(4) - 6*(sqrt(4) + sqrt(12)/sqrt(3))))**2.
32*sqrt(7)/11 + 2048/121
Simplify ((sqrt(12) - 2*sqrt(12))*2 - sqrt(84)/(sqrt(28)/sqrt(4)))/(-2*(2*sqrt(4) - sqrt(4))*-5).
-3*sqrt(3)/10
Simplify (0 + -2*sqrt(12)/(sqrt(16)/sqrt(4))*-4 + -5)**2.
-80*sqrt(3) + 217
Simplify ((sqrt(10) - sqrt(80)/sqrt(392))/(sqrt(245) + sqrt(245) + sqrt(245)*-3) + 0)**2.
72/2401
Simplify ((-4*(-2*sqrt(2700) - sqrt(2700)) - sqrt(2700))/((sqrt(324) + sqrt(324)*-2)*3))**2.
3025/27
Simplify (-3 + 2*sqrt(24)/(sqrt(48)*-2 - sqrt(48))*-4)**2.
-8*sqrt(2) + 113/9
Simplify (-1*sqrt(896) + (sqrt(70) + 1*sqrt(70))/sqrt(5))/(sqrt(72)/sqrt(4) + sqrt(18) + sqrt(18) - (-1*sqrt(242) - sqrt(2))).
-2*sqrt(7)/7
Simplify -3 + (1*(sqrt(17) + -1) + 1 + sqrt(68) - (4 + 2 + sqrt(153)))**2.
33
Simplify (sqrt(140) - 2*sqrt(140)*6)/(sqrt(63)*3 - sqrt(7))*2.
-11*sqrt(5)/2
Simplify (-4 + -2*sqrt(432)*-5 + -5 + 3)**2.
-1440*sqrt(3) + 43236
Simplify 1*((-4 + 0 + sqrt(612))**2 + 4 + 2*sqrt(833)).
-34*sqrt(17) + 632
Simplify 6*5*(2 + (sqrt(684) + -1 - sqrt(684))*-2 + 2).
180
Simplify -2 + (((2*sqrt(243) - sqrt(243)) + -2 + 5)*5)**2.
1350*sqrt(3) + 6298
Simplify (2*sqrt(13)*-1 + (sqrt(13) - -3*sqrt(52)) + -2)**2.
-20*sqrt(13) + 329
Simplify 3 + -2*2*sqrt(1377)*-1.
3 + 36*sqrt(17)
Simplify (sqrt(11)*-1 + 1)*-2 - sqrt(539)*2*-3.
-2 + 44*sqrt(11)
Simplify ((5*-5*sqrt(176)*-5 + 2)*3)**2.
18000*sqrt(11) + 24750036
Simplify ((sqrt(468) - ((sqrt(468) + sqrt(468) + 0 + -4 + sqrt(468))**2 + sqrt(468))) + -3*sqrt(468)*-3)*-1.
-198*sqrt(13) + 4228
Simplify (1*(sqrt(210)/sqrt(96))/(sqrt(7) - (sqrt(14) + sqrt(14)*1)/sqrt(2))*-4)**2.
5
Simplify (-1 + -6*(1 + sqrt(612))**2)*3 + 0.
-11037 - 216*sqrt(17)
Simplify (sqrt(864)*-2 - sqrt(864))/(sqrt(968)*-1).
18*sqrt(3)/11
Simplify ((sqrt(168) - ((sqrt(168) + sqrt(168)*-1)*3 + sqrt(168)))/sqrt(3))/(sqrt(288) + sqrt(288)*-2*-1) + 3.
3
Simplify ((sqrt(7)*-2)**2 + 3)*-3 - (2*sqrt(847) + -5)**2.
-3506 + 220*sqrt(7)
Simplify 0 + -1 + -5 + ((sqrt(8) - (-2*sqrt(72) - sqrt(72)) - sqrt(8))/(-3*sqrt(8)/sqrt(2)))**2.
12
Simplify ((3*sqrt(432)/sqrt(3))/((sqrt(8) - sqrt(40)/(sqrt(5)*-1)) + sqrt(128)*-1))**2.
81/2
Simplify (sqrt(468) - 1*sqrt(468)*1 - (0 + sqrt(468) + 3*sqrt(468)))**2 + 1.
7489
Simplify 1*(-3 + 1 + sqrt(288) + -5 + (sqrt(288) - (sqrt(288) + 0 + 0) - sqrt(288)) + 2)**2.
25
Simplify (sqrt(4114) - (sqrt(4114) + (sqrt(4114) - 3*sqrt(4114)*-6) + sqrt(4114)) - sqrt(4114))/(sqrt(242)*-3*6).
7*sqrt(17)/6
Simplify (sqrt(4) - (sqrt(144)*3 + sqrt(144)))/(sqrt(24)/(sqrt(12) + sqrt(12)*2)).
-69*sqrt(2)
Simplify ((sqrt(396) + 1 + 1)*2 - (sqrt(396) - 1*(0 + sqrt(396)) - (sqrt(396) + sqrt(396) + -1 + sqrt(396) + 5)))**2.
480*sqrt(11) + 9964
Simplify (-3*sqrt(108)/sqrt(6))/(sqrt(384)*1).
-3*sqrt(3)/8
Simplify 0 + (sqrt(52)/sqrt(4) + -3 + 4)**2 + ((-3*(sqrt(13) + 0))**2 + sqrt(13))*5.
7*sqrt(13) + 599
Simplify (-5*sqrt(81)/sqrt(3) + 4 + 1 + sqrt(12)/sqrt(4) + -4)**2 + 0.
-28*sqrt(3) + 589
Simplify (sqrt(1200) - (-3 + sqrt(1200) + 2)**2) + 1.
-1200 + 60*sqrt(3)
Simplify (-2*((-1*sqrt(264) - sqrt(264) - sqrt(264)) + sqrt(264))/sqrt(12))/(2*sqrt(704) - sqrt(704) - sqrt(704) - -2*sqrt(1331)).
2*sqrt(2)/11
Simplify (sqrt(136)*-2*-1 + sqrt(136) + sqrt(136))/(sqrt(8 | {
"pile_set_name": "DM Mathematics"
} |
23?
True
Suppose -3*i + 117 = -12. Suppose -n + 29 = -i. Suppose -3*k = -3*y + 144, 170 = 5*y - 3*k - n. Does 8 divide y?
False
Let q(h) = 153*h + 1119. Is 19 a factor of q(21)?
True
Let d(o) = -34*o + 357. Does 5 divide d(7)?
False
Suppose 0 = 4*i + 8*c - 11*c - 208238, -c + 104134 = 2*i. Is 16 a factor of i?
True
Suppose 20*u = 21*u + 4*w - 1106, 0 = 3*u - 3*w - 3258. Does 3 divide u?
False
Let r(m) = 1132*m**2 - 8*m + 39. Is r(2) a multiple of 21?
False
Suppose 0 = 5*l - 10*l + 15. Suppose -5*u + 10 = 0, l*u - 3 = -3*i + 3. Suppose i = 4*w - w - 3*t - 444, 4*t = -5*w + 776. Is w a multiple of 27?
False
Suppose -5*q = -47 - 223. Let u = q - 49. Suppose -u*o - 9 = -84. Does 2 divide o?
False
Let u = 164 + -236. Let y = u - -56. Is 9 a factor of y/(-12) + (-6)/(-9) - -10?
False
Let d = 46475 + -37706. Is 10 a factor of d?
False
Suppose -29*n - 35*n + 78180 = -44*n. Is 175 a factor of n?
False
Let n = -9647 + 20967. Is 5 a factor of n?
True
Let g(p) be the third derivative of p**5/5 - 5*p**4/24 - 17*p**3/3 - 25*p**2. Does 52 divide g(7)?
False
Let g be (-1790)/(-5)*(2 + (-5)/2). Let u be (-26)/10 - 10/25 - g. Suppose 4*s = 8*s - u. Does 12 divide s?
False
Suppose -2*f - 3*l + 1224 = 0, 15*l = -3*f + 14*l + 1850. Let w = f + -119. Is w a multiple of 14?
False
Let x(q) = q + 15. Let n(s) = 1. Let y(a) = -78*n(a) + 6*x(a). Let c be y(10). Suppose 0 = 4*i - 6*i + c. Is i a multiple of 36?
True
Suppose 5*f = -a + 28201, -25*f + 30*f + 4*a - 28219 = 0. Is f a multiple of 9?
False
Let r be (-4 + (-14 - 4))*215/(-10). Suppose 1597 = 5*b - r. Does 8 divide b?
False
Is 12 a factor of (3/3)/(7543937/(-342907) + 22)?
False
Suppose -115460 = -7*c - 44802. Is c a multiple of 103?
True
Suppose 5614 = -89*x + 111299 + 16957. Is 26 a factor of x?
True
Suppose 5*a = 4*i + 2236, -3*a - 10*i = -5*i - 1349. Is 32 a factor of a?
True
Suppose -5*n + y + 11 = 0, -n + 8 - 1 = y. Suppose -n*r + 1101 = -495. Does 19 divide r?
True
Suppose -o = 5*b - 17 - 5, 5*o - 5*b = 230. Let t = 46 - o. Is t even?
True
Suppose l + 7*l + 8416 = 0. Let p = -670 - l. Is 10 a factor of p?
False
Let j = -21946 - -36160. Does 23 divide j?
True
Suppose 0 = 22*u - 26*u + 8, 16544 = 2*x - 5*u. Is 28 a factor of x?
False
Let d(s) = -2*s**3 + 10*s + 13667. Is d(0) a multiple of 16?
False
Let c = 47 - 41. Suppose -5*w + c*w = -4*n + 6, 2*n + 32 = 3*w. Suppose 0 = s - 45 + w. Does 13 divide s?
False
Suppose -46*g + 7665 = -43*g - 3*v, -5*v - 5116 = -2*g. Is g a multiple of 67?
False
Let n(k) = k**3 - k - 94. Let p(o) = o**3 - o**2 - 91. Let b(i) = -5*n(i) + 4*p(i). Is 64 a factor of b(-9)?
False
Suppose 2*t = 118 - 114. Suppose 74 + 6 = t*c. Is c a multiple of 10?
True
Suppose 68*k - 659 = 1717 + 276. Does 7 divide k?
False
Suppose -4*x - 37 - 51 = 0. Let d(o) = o**3 + 23*o**2 + 12*o - 24. Let h be d(x). Suppose -10*b = -3*b - h. Does 3 divide b?
False
Is 221 a factor of ((-116)/3)/(((-24)/3978)/4)?
True
Let h = -4703 - -9795. Does 76 divide h?
True
Suppose 9*g + 3661 - 43981 = 0. Is g a multiple of 20?
True
Let p(s) = -4*s + 24. Let i be p(5). Suppose 2 = i*m - 2. Does 4 divide m + 21 - (1 - -1)?
True
Suppose 6*j - 1039 = 3299. Let q = j - 424. Does 31 divide q?
False
Suppose -2*f - 21 = -3*f. Let c = f + 13. Let o = c + -6. Does 7 divide o?
True
Suppose 111*f + 153 = 95*f + 489. Is f a multiple of 7?
True
Let l(k) = k**3 + 5*k**2 - 15*k - 12. Let x be l(-7). Let f(c) = -c**3 - c**2 - c - 6. Let r be f(x). Suppose w = -5 + r. Is w a multiple of 30?
False
Suppose -21073 = -3*l + 5*b + 26989, 5*l = 4*b + 80086. Is 34 a factor of l?
True
Let r(x) = x**3 - 8*x**2 - 6. Suppose 2*a + 5*f - 143 = 0, 0 = -a - 4*f + 15 + 64. Suppose a = 4*l + 23. Is 15 a factor of r(l)?
True
Suppose 12*v - 16 = 8*v. Let h(u) = -3*u + 12. Let g be h(v). Suppose -5*i + m + 477 = g, -4*i - m = 4*m - 399. Does 24 divide i?
True
Let t = 8 + -22. Let q(r) = 2*r + 16. Let p be q(t). Does 24 divide (-56)/p*36/7?
True
Let x(y) be the second derivative of -7*y**3/6 - 29*y**2/2 + 10*y. Let h be x(-5). Does 18 divide 2*((-1395)/h)/(-3)?
False
Let b(k) = 208*k - 124. Let g(z) = 69*z - 41. Let i(s) = 6*b(s) - 17*g(s). Does 12 divide i(9)?
False
Suppose b + f - 51 = 6*f, -2 = -f. Suppose 2*k = -4*y + 36, 5*k - 3*y - 29 - b = 0. Does 2 divide k?
True
Let n be (0 + 15/4)/((-1)/(-4)). Suppose -20*d = -n*d - 4290. Is 33 a factor of d?
True
Let p(r) = 20*r**2 + 271*r - 18. Is 3 a factor of p(-18)?
True
Suppose -73*u - 26*u = -10*u - 1251162. Is u a multiple of 20?
False
Let q = 449 + -387. Suppose -65*y = -q*y - 1017. Is y a multiple of 12?
False
Suppose -3*i = -1338 + 114. Suppose 0 = s - i - 102. Is 10 a factor of s?
True
Let x = 6428 - 1658. Does 45 divide x?
True
Let v(n) = -1419*n - 2106. Is v(-12) a multiple of 99?
False
Let y(a) = -10*a**2 + 925*a + 195. Is y(83) a multiple of 25?
False
Let s be 7 + -5 - (7 - 3). Let w be -2 + 1 + (-26)/s. Suppose w*l - 372 = 6*l. Is 12 a factor of l?
False
Suppose -4*a + 4*f = -3056, 119*a - 122*a + 4*f + 2297 = 0. Does 11 divide a?
True
Let d(p) = -p**3 + 60*p**2 + 464*p + 70. Is 7 a factor of d(55)?
False
Suppose -20*j = 20864 - 75744. Is 5 a factor of (-2)/(-8) - 8/((-256)/j)?
False
Let g be ((-38)/(-4))/((-9)/54). Let o(c) = 4*c**2 + 10*c - 9. Let a be o(4). Let i = g + a. Does 6 divide i?
False
Let w = -442 - -446. Suppose -w*y + 7920 = 7*y. Does 80 divide y?
True
Let n(u) = -4*u - 76. Let i be n(-19). Suppose 0 = -4*p - 0*b + b + 328, 4*p - 2*b - 332 = i. Is p a multiple of 33?
False
Let y(b) = -116*b**2 - 2287*b + 22. Is 5 a factor of y(-18)?
False
Suppose 0 = -3*z - 2*u + 3538, 5*z - 5*u - 3727 - 2228 = 0. Is 14 a factor of z?
False
Let c(w) = -w**2 - 19*w + 1. Let b be c(-19). Let o be (3 - (-40)/(-5))/((-1)/b). Suppose -3*k + 2*g + 53 = 0, 0*g - o*g = -5*k + 80. Is k a multiple of 2?
False
Suppose 0*h + 4 = 2*h + 4*y, 5*y = -5*h + 25. Is -4 - (-3 - h) - -660 a multiple of 15?
False
Let q(p) = -5*p**2 + 16*p + 29. Let r be q(-9). Let g = -360 - r. Is g a multiple of 16?
True
Let r = 5176 + -3600. Let x = -701 + r. Is 68 a factor of x?
False
Is 70/2*(-74392)/(-340) a multiple of 14?
True
Suppose 67 = -3*r - 5*i - 20, 3*i + 93 = -3*r. Let u(x) = -5*x - 38. Is 11 a factor of u(r)?
True
Suppose m + 30*v - 27*v = 12085, 5*v = -4*m + 48326. Does 42 divide m?
False
Let w be (-6*(-24)/45)/((-5)/(-50)). Suppose 38*g - w = 37*g. Is g a multiple of 7?
False
Suppose w - 1357 = 5*c, -2*c - 5*w - 619 = -87. Let i be -188 - ((8 - 10) + -10). Let p = i - c. Is 17 a factor of p?
False
Let f = 8 - 16. Let w(u) = -4*u - 35. Let l(j) = -4*j - 26. Let q(s) = 4*l(s) - 3*w(s). Is 3 a factor of q(f)?
True
Let k(n) = 4*n**3 + 82*n**2 + 12*n + 72. Does 79 divide k(-20)?
True
Let u be 3/((-42)/(-12) + -5). Is (42/(-4))/(u - (-116)/64) a multiple of 8?
True
Let o = -92 + 94. Let n(l) = 14 + 17 + 5 + o*l. Does 4 divide n(-8)?
True
Suppose 0 = 3*q - 5*k + 33, -3*q + k + 3 = 24. Let a be ((-6)/(-5))/((q/20)/(-3)). Does 33 divide (-1 + a/8)*330?
True
Let l = 123 - 124. Let f(w) = -306*w. Does 50 divide f(l)?
False
Let s = -524 - -311. Let j = -133 - s. Does 2 divide j?
True
Suppose 2*l = -3*g + 16, 13*g - 18*g = 0. Suppose 7*t = l*t. Suppose -5*y - 3*y + 1232 = t. Does 25 divide y?
False
Suppose -2*r + 34*l = 31*l - 290, -l = 5*r - 708. Let x = -38 + r. Does 13 divide x?
True
Let o = -2734 - -10061. Is 17 a factor of o?
True
Suppose 5*z + 59 = 3*d - 10, -5*d + 152 = 4*z. Let m be (-2)/42*-3 - (-220)/d. Suppose 0 = -10*y + 8*y + m. Does 4 divide y?
True
Let i be -12*1/(0 + -4). Is 14 a factor of 33 + 6 - (2 + -5 + i)?
False
Let u be (5 - 724/(-8))*36*1. Is ((-4)/12)/((-6)/u) a multiple of 30?
False
Suppose -7*p + 7618 + 55651 = v, 3*p = 4*v - 252952. Is 18 a factor of v?
False
Let p(u) = -u**2 - 3*u + 26. Let b be p(3). Let h(l) = -2*l**2 + 3*l**2 - 2 - 14. Is 10 a factor of h(b)?
False
Suppose -f + 5*f = -2*v + 42, 0 = v - f - 6. Suppose v*n + n = 24. Suppose -138 = -n*s - i - 49, 0 = s - 5*i - 17. Is s a multiple of 32?
False
Suppose 0 = -14*x + 13*x - b + 5639, -3*b = -3*x + 16893. Does 64 divide x?
False
Let v(p) = 39*p**2 + 173*p - 1055. Is v(6) a multiple of 67?
False
Is 5 a factor of 3*(14/(-42))/((-3)/12345)?
True
Let p(v) = 3*v. Let t be p(2). Suppose 2*z + 3*h - 393 = 0, -t = 5*h + 19. Is 12 a factor of z?
T | {
"pile_set_name": "DM Mathematics"
} |
se 6*n = 709 - 199. What is the greatest common divisor of 5 and n?
5
Let j(n) = -3*n**3 + 2*n**2 + 3*n + 2. Let d be j(-2). Suppose -f = -q + 9, 0 = 2*q - f + 5 - 18. What is the highest common divisor of q and d?
4
Let p = 112 + -102. Calculate the greatest common divisor of 35 and p.
5
Let b = -13 - -39. Suppose -5*a + 4*a - 8 = 0. Let n = a + b. What is the highest common divisor of n and 162?
18
Let g(h) = 2*h**2 + 4*h - 10. Let t be g(-8). Let k be (-170)/3 - 4/(-6). Let r = k + t. What is the greatest common divisor of 12 and r?
6
Let t = -2 + 3. Let a(w) = w + 3. Let m be a(3). Let z = m - 1. What is the greatest common factor of z and t?
1
Let k be (-6)/4 + (-276)/(-8). What is the highest common factor of k and 3?
3
Let a be 2/(-4) - 424/(-16). Suppose -2*k - a = -156. Calculate the highest common factor of 13 and k.
13
Suppose -3*g + 0*g = 24. Let o be g/(-1) + (6 - 4). Let a be -20*(-1)/(-2)*-2. What is the greatest common factor of a and o?
10
Suppose -5*u = 25, -3*u - 13 = -h - 4*u. Calculate the greatest common divisor of h and 18.
18
Let b(u) = u**3 + 7*u**2 + 2*u + 16. Let d be b(-7). Suppose -6*j = -d*j - 80. What is the highest common divisor of 100 and j?
20
Let d = 35 + 1. Suppose 0 = i - 6 + 2. Calculate the highest common factor of i and d.
4
Suppose 5*h = -8 + 28. Let v be (-539)/(-44) + 2/(-8). Calculate the highest common divisor of h and v.
4
Suppose 0 = -4*a + w + 930, -2*a + 3*a + 5*w = 222. Calculate the highest common factor of 29 and a.
29
Let r be 21 + 1 + -4 + 3. Calculate the highest common divisor of r and 21.
21
Suppose 5*p - 96 = 4*m, 0*m = -m - 4. What is the highest common divisor of p and 32?
16
Let a(w) = -4*w. Let t be a(-1). Suppose t + 4 = z. Let s = -268 + 308. Calculate the greatest common factor of z and s.
8
Let n = 14 + -7. Let i = n + 0. Let f = -4 + 5. What is the greatest common divisor of f and i?
1
Let v = 2 + 3. Let u be 1/(1 - (-4)/(-5)). Calculate the highest common divisor of v and u.
5
Let z be 0 + 4/(12/9). What is the highest common factor of 33 and z?
3
Let q = -196 + 284. What is the greatest common factor of q and 8?
8
Suppose 3*s = 4*m - 4, 0 = -4*m - 0*s - s + 20. What is the highest common divisor of 36 and m?
4
Suppose 0 = p - 28 + 7. Calculate the greatest common divisor of 63 and p.
21
Suppose -3*g = -2*g - 81. Calculate the greatest common divisor of g and 54.
27
Suppose -5*l - 3020 = -0*l. Let m be l/(-10) - (-2)/(-5). Calculate the highest common divisor of 40 and m.
20
Suppose 6*f - 40 = 2*f. Suppose 0 = -0*t + t - f. Calculate the highest common divisor of 5 and t.
5
Let s(k) = -2*k - 7. Let y be s(-5). Let q be 21/y*(2 - -1). Let z = 47 - q. What is the highest common factor of z and 13?
13
Let f(v) = -7*v**2 + v - 1. Let k be f(1). Let n = 25 - k. What is the greatest common factor of 8 and n?
8
Suppose -18*s + 96 = -14*s. What is the greatest common divisor of s and 6?
6
Let l = -11 + 16. Let z be 336/15 - 2/l. What is the greatest common factor of z and 55?
11
Suppose -5*b = -5*u - 5, 3*b = -2*u + u + 7. What is the greatest common factor of 2 and b?
2
Let u = 8 + 72. Suppose -5 = -5*c + 2*a, 2*c = -c + 4*a - 11. Suppose 5 = c*x - 25. Calculate the highest common divisor of u and x.
10
Let n be -42 - -16 - 2*1. Let k be (-284)/(-14) - (-8)/n. Calculate the greatest common factor of 30 and k.
10
Let u(l) = -l**2 - 15*l - 8. Let b be u(-14). Calculate the highest common factor of b and 24.
6
Let q be 1/((-22)/(-172)) - (-6)/33. Calculate the greatest common factor of q and 104.
8
Let g(v) = -v**3 + 5*v**2 + 5*v + 9. Let n be g(6). Calculate the greatest common factor of n and 6.
3
Suppose -3*r + 216 = 21. Suppose -4*c + r = c. Calculate the highest common divisor of 39 and c.
13
Let q(k) = -2*k - 4. Let x be q(-3). Suppose -z - 9 = -4*z. Suppose z = x*l - 17. Calculate the highest common divisor of l and 20.
10
Let m(d) = -19*d + 18. Let x be m(-6). Calculate the highest common divisor of 12 and x.
12
Let f(a) = -2 - 3*a - a + 1 + 5*a. Let z be f(11). Calculate the greatest common divisor of z and 25.
5
Let s(k) = -6*k + 3. Let j be s(-3). What is the greatest common factor of j and 231?
21
Suppose o - 89 - 54 = 0. What is the highest common factor of o and 13?
13
Let y(x) = -5*x - 3. Let u = -4 - -2. Let m be y(u). Let z(r) = -r**2 + 8*r - 1. Let a be z(m). What is the greatest common factor of 66 and a?
6
Let z(i) = -i + 26. Let x be z(6). Let q be (-162)/(-8) - (-10)/(-40). Calculate the highest common divisor of q and x.
20
Suppose -4*t + 9 = 5*n - 7*t, 5*t + 15 = -2*n. Let f = 48 - 21. Suppose 4*l = n, -5*g - 5*l = -2*g - f. Calculate the greatest common divisor of g and 99.
9
Suppose -4*l + 4*g = -56, -3*l - 65 = -8*l + 4*g. What is the greatest common divisor of l and 81?
9
Let h(d) = d**2 - 3*d - 4. Let g be h(6). Let q be 4/6*(-252)/(-4). Calculate the highest common divisor of q and g.
14
Let d(a) = 2*a**2 - a + 1. Let q be d(1). Let b be (-68)/(-8) - 1/q. Let z = -3 + 5. What is the greatest common divisor of b and z?
2
Let n = 23 - 4. Suppose -n = -2*s - 3. Suppose 8 = 2*g - 4*d, 0 = 2*g - g - 5*d + s. Calculate the greatest common factor of 96 and g.
12
Let u = -25 - -39. Calculate the greatest common factor of 28 and u.
14
Let k be (-102)/(-5) - (-90)/150. Calculate the highest common divisor of k and 3.
3
Let v(n) = 10*n - 2. Let m be v(-8). Suppose 5*p = 2*b + 89, -1 = p - 2. Let i = b - m. What is the greatest common factor of i and 16?
8
Suppose -9*k - 9*k + 72 = 0. Calculate the greatest common factor of k and 52.
4
Suppose -3*u + 2*y + 51 = 4*y, 0 = u + 4*y - 7. What is the highest common factor of 38 and u?
19
Suppose 2*t = -0*c - 3*c + 2, 0 = -5*c - 4*t. Let l(p) = 5*p**2 - 1. Let h be l(-1). Calculate the highest common divisor of h and c.
4
Suppose 3*r + 5*x - 85 = 0, 4*r + 5*x = 3*r + 45. What is the highest common factor of r and 15?
5
Suppose -4*y = y + u - 88, y + 5*u - 8 = 0. Calculate the highest common factor of 54 and y.
18
Let q be 273 - 1*(-3 + 0). Let f = q - 196. Calculate the greatest common factor of f and 20.
20
Let c(a) = a**2 + 5*a - 1. Let y be c(-6). Let q be 2/(-5) - (-27)/y. Suppose -q*r = -83 - 217. Calculate the highest common divisor of 12 and r.
12
Let x(c) = -c**3 - 5*c**2 - 2*c + 3. Let q be x(-3). Let r = 20 + q. Calculate the greatest common factor of 44 and r.
11
Suppose 0 = 2*p - 5*u - 3, 0 + 3 = -2*p - u. Let v be (p - (-2)/2) + 75. Suppose 10*d - v = 5*d. What is the greatest common factor of 75 and d?
15
Suppose 3*z = 1134 + 87. What is the highest common divisor of z and 37?
37
Let k be 2 - (-3 + 4)*-35. Calculate the highest common factor of 37 and k.
37
Suppose 13*s - 14*s + 11 = 0. Suppose -10 = o - 6*o. Suppose -354 = -4*v + 2*r, -5*v = -o*r - 425 - 17. Calculate the greatest common divisor of v and s.
11
Let o(m) = -m**2 + 7*m. Let b be o(6). Let i = 10 + b. What is the highest common divisor of i and 32?
16
Let t be 47 - -2 - 1/(-1). Let h = t - 17. What is the greatest common factor of h and 22?
11
Suppose -4 = -4*c + 8. Suppose -c*x - 6 = -3*y, 5*y - 4 = x - 2*x. Let z = 4 + y. Calculate the highest common divisor of z and 5.
5
Let v be 6/(-4) + (-27)/(-6). Suppose 0*m - v*m = -9. What is the greatest common divisor of m and 2?
1
Suppose 3*o + 65 = 4*f, -2*o - 3*o = -f + 29. Calculate the greatest common divisor of f and 14.
14
Let g = -9 - -12. Suppose 26 = g*x - x. Calculate the greatest common divisor of 13 and x.
13
Let q be (-4)/(-22) - ((-22152)/(-44))/(-3). What is the greatest common divisor of q and 21?
21
Suppose 0 = -3*o - q + 8, -6*q = -5*o - q + 40. Suppose -3*n - 5*m = 1, n + n + m = 11. What is the highest common divisor of o and n?
4
Suppose 5*g = 5*p + 100, -2*p + 6 = -g + 23. Suppose -5 = -2*j + b, -g = -2*j - 2*b - 3*b. What is the highest common divisor of j and 10?
2
Let n(a) = 46*a**2 - 2*a + 4. Let v(b) = -47*b**2 + 2*b - 5. Let j(i) = 6*n(i) + 5*v(i). Let c be j(-1). What is the highest common divisor of c and 6?
6
Suppose -5*s + 8*s - 9 = 0. Suppose h + s = 10. Calculate the greatest common divisor of 63 and h.
7
Let d be ((-105)/20)/(-2*4/32). What is the greatest common divisor of 21 and d?
21
Let w(h) = h**3 - 6*h**2 + h - 4. Let r be w(5). Let m be r/(1*(-4 + 3)). Let | {
"pile_set_name": "DM Mathematics"
} |
w**(254/13)
Simplify (y*y**1)**27/(y**(-24)*y**(3/11)) assuming y is positive.
y**(855/11)
Simplify (k**2/k)**(-7/6)*(k/(k/k**3))**32 assuming k is positive.
k**(569/6)
Simplify (u*u/(u/u**(-13)))/((((u*u**(4/11)*u)/u)/u)/u)*(u/((u/(u**(-14/5)*u))/u)*u)/u*u**(-15) assuming u is positive.
u**(-1494/55)
Simplify (y/y**(3/7)*y*y)**(1/7)*y/(y/(y*(y/y**(8/7))/y))*y*(y/(y*y**(-2/29)))/y assuming y is positive.
y**(417/1421)
Simplify m**(29/3)/(m/(m*m/((m**7/m*m)/m)*m)*m)*((m/(m*m**35/m*m))/m)/m*m**(-9) assuming m is positive.
m**(-124/3)
Simplify ((o**(-2/3)/o)**36/((o/o**(-2))/(o/((o/(o/(o*o/(((o/o**(-3))/o*o)/o)*o)))/o))))**(-4) assuming o is positive.
o**244
Simplify z**24/z**(1/45)*(z/(z**(-18)*z)*z)**(-8/17) assuming z is positive.
z**(11503/765)
Simplify b*b/b**(2/35)*b*b**24*b*b**(-3)/(b/((b/((b**28/b)/b*b))/b)) assuming b is positive.
b**(-107/35)
Simplify ((x**19/x*x)**(-23))**(-21) assuming x is positive.
x**9177
Simplify ((q**(3/5)/q)**(5/12)/((q/(q**2*q))/q)**(3/25))**(-21) assuming q is positive.
q**(-203/50)
Simplify (q**23)**(-1/9)*(q/(q/q**(3/2)))**(-25) assuming q is positive.
q**(-721/18)
Simplify (((z*z**(-8/5))/(z/z**(-6)))/(z**(3/4)*z/z**(-7)*z))**(1/19) assuming z is positive.
z**(-347/380)
Simplify p**1*(p**(-14)*p*p)/p*(p**5*p)**(13/2) assuming p is positive.
p**27
Simplify (y*y*y*y**12/y*y)/(y/(((y/(y*(y/y**13)/y)*y*y)/y)/y))*y**6*(y**(-2/31)/y)/y*y assuming y is positive.
y**(990/31)
Simplify (m**4)**(-29)/(m*(m/(m/m**(-4))*m)/m)**(-12) assuming m is positive.
m**(-152)
Simplify (c**4)**(-19)/(c*c/c**(-7)*c**(-3)) assuming c is positive.
c**(-82)
Simplify (z**0*z)**(1/16)/(z**(-10)*z/(z*z*z**9*z*z*z)) assuming z is positive.
z**(369/16)
Simplify (((t*t**2)/t)**(1/11))**(-42) assuming t is positive.
t**(-84/11)
Simplify n**(-10/7)/((n/(n**(-4)*n))/n)*n/(n**(19/2)/n)*n**(1/14) assuming n is positive.
n**(-83/7)
Simplify ((f/(f/f**(-19)))/f)**(-6/19)*(f/(f**0/f))**(4/7) assuming f is positive.
f**(992/133)
Simplify (s**(-1/10)/((s/(s/(s*s**31)))/s))/(s*s/(s/(s/(s/(s/(s/s**(5/2)*s)))))*s**(-2/53)) assuming s is positive.
s**(-8894/265)
Simplify (d**(1/3)/d**(-5)*d/d**(2/5)*d*d**7)**(-9) assuming d is positive.
d**(-627/5)
Simplify (y**(5/6)*(y/(y/y**(-3/4)))/y)/((y/(y**(-6)*y))/y)**20 assuming y is positive.
y**(-1211/12)
Simplify (f/(f*f**36)*f*f)/(f*(f*f*f**(8/13)*f)/f)*(f**26)**(-4/9) assuming f is positive.
f**(-5753/117)
Simplify (d*d/(((d*d/d**(-2/5))/d)/d)*d*d**(-11/4))/((d**(-1/7)/d)/(d**(-3)/d)) assuming d is positive.
d**(-421/140)
Simplify l*l*l*l**18/l*l*l*l*l**(6/13)*(l**23)**(-12) assuming l is positive.
l**(-3283/13)
Simplify u*u*u**(-11)*(u/u**(-2/7))/u*u**(-1/6)*u/(u**(-1/10)/u) assuming u is positive.
u**(-712/105)
Simplify ((o**(-8)/o)/(o/((o**(3/2)/o)/o)))/(o**2*o/(o/o**(2/5))*o) assuming o is positive.
o**(-139/10)
Simplify ((j**(-1)/j)**(1/18))**(-14) assuming j is positive.
j**(14/9)
Simplify (g*g**(-36)*g**(-23)*g*g)/(((g*g*g**20)/g*g)/g)**(2/31) assuming g is positive.
g**(-1778/31)
Simplify (y**22)**(16/11)/(y**(4/3)*y/y**(-23)) assuming y is positive.
y**(20/3)
Simplify (k/((k/(((k/(k**(1/16)/k)*k)/k*k*k)/k))/k))/k*k*k**24*k**(-5/4)/k**(-6) assuming k is positive.
k**(523/16)
Simplify ((w*w*w*w**(-6)*w*w*w*w/(w/(w*w**1/w*w)))**(10/9))**(-2/15) assuming w is positive.
w**(-8/27)
Simplify (v**(-2)*v)**50/(v/v**(1/2))**38 assuming v is positive.
v**(-69)
Simplify (((f*f*f**(-19)*f)/f)/f**13)/(f*(f*f*f**(-28)*f)/f*f**6/f) assuming f is positive.
f**(-10)
Simplify i*i**11*i*i*i*i*i/i**17*i*(i*i/(i/(i**(-19)/i)))**(-1/7) assuming i is positive.
i**(26/7)
Simplify (q**(2/25))**44*q**(-8)/q*q*q*q*q**20 assuming q is positive.
q**(438/25)
Simplify i**(-3/7)/i*i**(-10)*i*i/(i**(3/8)*i)*i**(-11)*i assuming i is positive.
i**(-1165/56)
Simplify (q/(q*q/q**9*q))/q**(-10)*((q**13*q)/q)/(q**(2/3)*q) assuming q is positive.
q**(85/3)
Simplify (f*f**(8/3)*f**(4/3)*f)/((f*f**(-25/2)*f)/f**(3/10)) assuming f is positive.
f**(84/5)
Simplify ((g*((g*g**(2/9))/g)/g)/g*g*g/(g**(1/7)/g))/(g*(g*g**(-6)*g*g)/g*g*(g*g**(-2/27))/g) assuming g is positive.
g**(785/189)
Simplify (f**(1/4)*f*f/(f*f/f**12*f*f))/(f**(-6))**(-4) assuming f is positive.
f**(-55/4)
Simplify ((j**(-7)*j)/j**(2/29))/(j/(j/((j**(-1/18)*j)/j))*j*j**7) assuming j is positive.
j**(-7315/522)
Simplify ((t/(((t*t*t*t/((t**(1/4)/t)/t))/t)/t))/(t*t**(6/5)))/((t*t/(t*t**(1/12)))/t**(-1/4)) assuming t is positive.
t**(-367/60)
Simplify ((t*t*t**(-2/3)*t)**(-45)/((t**4/t)/t*t/t**(1/5)))**(21/5) assuming t is positive.
t**(-11319/25)
Simplify (r/r**0)/(r*(r/r**(14/5))/r)*(r**13/r)**(4/7) assuming r is positive.
r**(338/35)
Simplify ((d**3/d**6)**(-3/11))**(2/21) assuming d is positive.
d**(6/77)
Simplify ((g/(g/(g*g**(-4/5))))/(g**10/g))/(g/(g*g**(-2/7)))**(4/11) assuming g is positive.
g**(-3428/385)
Simplify ((z/(z*z/z**(6/7)))**(-9/8))**27 assuming z is positive.
z**(243/56)
Simplify ((z**13/((z*z/z**(-15)*z)/z))**(22/7))**(-3/8) assuming z is positive.
z**(33/7)
Simplify (((w/(w*w**2*w))**(-21))**4)**(-14/13) assuming w is positive.
w**(-3528/13)
Simplify ((w*w*w/w**(-3/7))/(w/(w*w/w**14*w)))**24 assuming w is positive.
w**(-1440/7)
Simplify u**(-5)/((u/(u/(u**12*u)*u))/u*u*u)*u**(1/3)/u**0 assuming u is positive.
u**(-53/3)
Simplify (f/(f/(f**(-7/4)/f))*f*f)/((f*f**36)/f)*(f**29/f)**(3/10) assuming f is positive.
f**(-567/20)
Simplify (x**(-25)*x/x**(-1/3))**(12/7) assuming x is positive.
x**(-284/7)
Simplify (o*o**8/o*o)/(o/o**(1/17))*o**(-1)/(o/(o/o**(2/13))) assuming o is positive.
o**(1526/221)
Simplify ((z**(-2/3)*z/z**0)/(z*z**(2/3)*z*z)**(-3))**17 assuming z is positive.
z**(578/3)
Simplify ((f/(f*f*f*f**(-1/4)*f*f*f)*f/(f**(-12)*f))**(-3))**(-47) assuming f is positive.
f**(4089/4)
Simplify (u**(-9/4)/((u/u**(-4/7))/u))/((u/(u*u**2*u))/(u/u**(-4))) assuming u is positive.
u**(145/28)
Simplify (n/n**0)**(1/66)/(n/(n/((n/((n/(n/n**(1/14)))/n)*n)/n))*n*n**(-1/2)*n*n) assuming n is positive.
n**(-2039/462)
Simplify ((k*k**(-3/11))/k*k/k**32)/(k**5*k*((((k/(k*k/(k*k/(k*k**(-26/7))*k))*k)/k)/k)/k)/k*k) assuming k is positive.
k**(-3079/77)
Simplify (((j**(-1)*j)/j)**(-24)*(j**1/j)/(j/(j/j**(2/3)*j)))**(-25) assuming j is positive.
j**(-1825/3)
Simplify ((w**8*w)/(w/(w**(-5)/w)))/(w/(w*w**(-2)*w))**(-19) assuming w is positive.
w**21
Simplify ((a/(a/(a/(a/(a/(a*a**0))*a)))*a)**(-1/9)*((a**0/a*a*a)/a*a)**(-21))**(-30) assuming a is positive.
a**630
Simplify (x**(2/9))**1/(x*x**(-1/6)*x*x/(x/((x*x*((x*x**(-12))/x)/x*x)/x))) assuming x is positive.
x**(169/18)
Simplify j**(4/3)/j**12*(j**(-1/3)*j)/(j**2*j*j) assuming j is positive.
j**(-14)
Simplify (v**(-3/5)*v**(-3/2))/(v**(-17)/v**14) assuming v is positive.
v**(289/10)
Simplify ((p**(-1/3)*p*p**(-2/9))**(-1/72))**(2/9) assuming p is positive.
p**(-1/729)
Simplify (v**(2/3)*v/v**(-5/7))**14 assuming v is positive.
v**(100/3)
Simplify ((i**(-1/2))**26/((i**(-2/5)*i)/(i*(i/(i*i/i**(-3)*i*i*i*i))/i)))**(-2/9) assuming i is positive.
i**(24/5)
Simplify ((b/b**(3/10))/(b/b**(2/15)*b))/((b**(1/2)*b)/b**(-3/7)) assuming b is positive.
b**(-65/21)
Simplify ((m**(3/5)/m**(-1))/((m*(m**(2/13)/m)/m)/(m**(-1/9)/m)))**(-2/33) assuming m is positive.
m**(-142/1755)
Simplify (k/(k/(k/(k*k**(1/3))*k*k*k*k*k))*k)**(-1/10)*k/k**(-8/3)*((k**(-9)/k)/k)/k assuming k is positive.
k**(-89/10)
Simplify (s/(s**(-6)/s)*s*s)**31*s**(-18)/s**(7/4) assuming s is positive.
s**(1161/4)
Simplify (x*x**(2/17))**21/(((x**3/x)/x)/x*x/(x*x**(-8))) assuming x is positive.
x**(263/17)
Simplify (((b/b**7)/b)/(b*(b/b**(-2/19))/b))/(b/(b*b/(b/(b*b*b*b*b/b**(8/3)))*b)*(((b*b/b**(-1))/b)/b*b)/b*b*b) assuming b is positive.
b**(-443/57)
Simplify p*((p/(p*p*p*(p/(p*p**25/p))/p*p))/p)/p*p*p**(4/7)*p**(-30)*p*(p*(p/(((p/(p*p**(-27/2)))/p*p)/p*p*p))/p)/p assuming p is positive.
p**(-293/14)
Simplify (f**(-30))**(-1/20)/(f**(-6/11)/(f/(f**(11/4)*f*f*f)*f)) assuming f is positive.
f**(-75/44)
Simplify (u**28/(u*u**(-2/55)/u))/(u*u**(-2/47)*u*u**27*u*u) assuming u is positive.
u**(-7551/2585)
Simplify (((q**3*q)**(-2/57))**22)**(-16) assuming q is positive.
q**(2816/57)
Simplify (b*b**5*b**(-4)*((b*b*b*b*b**(1/3)*b*b)/b*b)**(-2/13))**(-28) assuming b is positive.
b**(-1120/39)
Simplify (w**(2/9)/w)**(-40)*(w**(1/3))**(3/14) assuming w is positive.
w**(392 | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of 113/12 and -1/882030.
1764060
Calculate the smallest common multiple of 596 and 133220.
19849780
Find the common denominator of -131/9450 and -89/252.
18900
What is the lowest common multiple of 12001 and 2?
24002
Calculate the common denominator of -49/488 and -59/1962.
478728
What is the least common multiple of 7304 and 149732?
299464
Calculate the lowest common multiple of 813 and 5211.
1412181
What is the smallest common multiple of 12623 and 559?
542789
What is the lowest common multiple of 32120 and 8760?
96360
Calculate the least common multiple of 103342 and 15216.
2480208
Find the common denominator of -26/59981 and -37/9.
539829
Calculate the common denominator of -51/580 and -31/16025.
1858900
Find the common denominator of -23/5097 and -91/690.
1172310
What is the smallest common multiple of 183836 and 36?
1654524
What is the least common multiple of 2323158 and 2?
2323158
Calculate the lowest common multiple of 5918 and 116.
343244
Find the common denominator of -59/470 and -99/1120.
52640
What is the common denominator of -65/81 and 83/60687?
546183
What is the least common multiple of 16 and 3856?
3856
What is the common denominator of -95/6896 and 95/32?
13792
Calculate the least common multiple of 178 and 29368.
2613752
Find the common denominator of -23/113 and 133/690.
77970
What is the common denominator of 65/21402 and -53/35670?
107010
Calculate the common denominator of 14/1293507 and -119/1212.
5174028
Calculate the common denominator of 23/164 and 23/10291.
41164
What is the lowest common multiple of 88 and 5520?
60720
Calculate the least common multiple of 10850 and 350.
10850
What is the smallest common multiple of 233664 and 9?
700992
Calculate the least common multiple of 352452 and 12.
352452
What is the common denominator of -31/37899 and -49/16844?
151596
Calculate the smallest common multiple of 356 and 1896.
168744
What is the common denominator of 11/36 and -85/4472?
40248
Calculate the common denominator of 18/3887 and 44/169.
3887
Calculate the lowest common multiple of 55 and 2430.
26730
Calculate the least common multiple of 1785 and 42942.
1502970
Find the common denominator of -13/236 and 73/716.
42244
What is the common denominator of -18/451 and -9/22451?
920491
Calculate the lowest common multiple of 330 and 177342.
886710
Calculate the lowest common multiple of 23910 and 330.
263010
Calculate the least common multiple of 750800 and 112620.
2252400
Calculate the smallest common multiple of 154 and 7434.
81774
What is the common denominator of -95/28 and -109/82586?
165172
Calculate the least common multiple of 9435 and 2346.
434010
Calculate the common denominator of -127/9696 and -43/707.
67872
What is the smallest common multiple of 50 and 21832?
545800
Find the common denominator of 37/48348 and -61/14.
338436
Find the common denominator of -55/1156 and 75/6128.
1770992
What is the lowest common multiple of 209 and 125761?
1383371
Calculate the lowest common multiple of 2340 and 90.
2340
Calculate the common denominator of -73/142876 and 125/37272.
857256
What is the common denominator of 37/24280 and -33/1706?
20710840
Find the common denominator of 103/1050 and -67/249.
87150
What is the least common multiple of 23343 and 13554?
420174
What is the smallest common multiple of 3414 and 6828?
6828
Find the common denominator of -113/2592 and 45/4388.
2843424
Find the common denominator of -37/55 and -157/594.
2970
Calculate the least common multiple of 177679 and 8.
1421432
What is the least common multiple of 6372 and 10620?
31860
Calculate the least common multiple of 388320 and 310656.
1553280
Calculate the common denominator of -41/11 and -8/26311.
289421
What is the common denominator of -1/143956 and -61/11832?
863736
Calculate the lowest common multiple of 7992 and 6966.
1030968
What is the smallest common multiple of 69356 and 16?
277424
What is the smallest common multiple of 14052 and 933?
4370172
Calculate the least common multiple of 333 and 993.
110223
What is the common denominator of -119/60 and -11/15618?
156180
Calculate the smallest common multiple of 24240 and 6060.
24240
What is the common denominator of 12/49 and 53/675388?
4727716
Find the common denominator of -17/310 and 42/775.
1550
Calculate the smallest common multiple of 2058 and 6174.
6174
What is the common denominator of -40/10143 and 55/1127?
10143
What is the least common multiple of 150966 and 36?
301932
Calculate the least common multiple of 1422 and 549.
86742
Find the common denominator of -35/31803 and 61/5.
159015
Calculate the lowest common multiple of 3825 and 250.
38250
What is the common denominator of -121/624 and 99/1688?
131664
What is the least common multiple of 136 and 11832?
11832
Calculate the common denominator of -27/55 and 53/365.
4015
Calculate the common denominator of 59/11508 and -53/28770.
57540
What is the common denominator of -29/29512 and 55/29512?
29512
What is the common denominator of -21/103 and 31/164?
16892
What is the smallest common multiple of 25288 and 18966?
75864
What is the common denominator of 79/11438 and 181/798?
34314
Calculate the smallest common multiple of 12 and 190040.
570120
Calculate the lowest common multiple of 3605 and 560.
57680
What is the smallest common multiple of 14775 and 200?
118200
Calculate the least common multiple of 512 and 6272.
25088
What is the lowest common multiple of 56 and 64876?
129752
Calculate the common denominator of -53/135 and 61/210.
1890
What is the common denominator of -71/21675 and 26/15?
21675
Calculate the smallest common multiple of 5316 and 944.
1254576
What is the smallest common multiple of 9855 and 4015?
108405
Calculate the common denominator of 29/16812 and -109/216.
100872
What is the common denominator of 9/10 and -41/180870?
180870
Calculate the smallest common multiple of 2055 and 1425.
195225
Calculate the lowest common multiple of 59 and 32155.
32155
Calculate the common denominator of -39/14 and -7/4608.
32256
What is the lowest common multiple of 32556 and 65112?
65112
Find the common denominator of 127/948 and 97/18012.
18012
What is the smallest common multiple of 4376162 and 12?
26256972
Calculate the common denominator of 191/76950 and 97/270.
76950
What is the common denominator of -64/91 and -41/1218?
15834
Calculate the lowest common multiple of 854 and 2443.
298046
What is the lowest common multiple of 874 and 3496?
3496
Calculate the least common multiple of 59472 and 3240.
2676240
Calculate the smallest common multiple of 81 and 16686.
16686
What is the lowest common multiple of 542479 and 1?
542479
Find the common denominator of 119/12 and -63/149656.
448968
Calculate the lowest common multiple of 25400 and 400.
50800
Calculate the lowest common multiple of 657 and 8370.
611010
Calculate the common denominator of -43/54060 and 93/2.
54060
Find the common denominator of 18/124451 and 6/485.
622255
What is the least common multiple of 156204 and 96?
1249632
Find the common denominator of -2/8135 and 119/200.
325400
Calculate the least common multiple of 243865 and 48773.
243865
Calculate the lowest common multiple of 6808 and 40.
34040
What is the smallest common multiple of 1645 and 6110?
42770
Calculate the lowest common multiple of 10575 and 15.
10575
Find the common denominator of -26/60155 and 113/40.
481240
Find the common denominator of -21/160 and -49/69024.
345120
What is the lowest common multiple of 6552 and 3276?
6552
What is the least common multiple of 129008 and 66?
387024
Find the common denominator of 9/257065 and -10/154239.
771195
What is the common denominator of -27/12824 and 82/63?
115416
Find the common denominator of -65/13959 and -39/22.
27918
Calculate the common denominator of -89/22040 and 151/4560.
132240
Calculate the common denominator of -99/438620 and 11/182.
438620
What is the common denominator of -109/182364 and 163/260520?
1823640
What is the common denominator of 17/28 and 18/1925?
7700
Calculate the smallest common multiple of 168 and 7350.
29400
What is the smallest common multiple of 10374 and 501410?
1504230
What is the common denominator of 43/1371800 and -93/722?
1371800
Calculate the smallest common multiple of 39 and 16429.
640731
| {
"pile_set_name": "DM Mathematics"
} |
uppose 4*y + 0 = -44. Let m = -10 - y. Is m at most -1/3?
False
Let s = 8 - 4. Let u = -3 + s. Let f be -1 - 4/((-104)/30). Does u = f?
False
Let n be (-1)/(-7)*(-1 - 0). Let s = n + 1/56. Is s at most as big as -1?
False
Let l(z) = -5*z + 42. Let s be l(8). Is 10/11 bigger than s?
False
Suppose -5*c + 5 = -0*c. Which is greater: 13/9 or c?
13/9
Let v = 2/5 - 9/10. Let l = -2 + 0. Let c be ((-1 + -1)/l)/(-1). Which is smaller: v or c?
c
Suppose 2*h + b - 5 = 0, -5*b = -3*h - 15 + 42. Let g = 1 + h. Suppose -3 = -g*j + 2. Which is smaller: j or -2/25?
-2/25
Let c be (23/(-5) - -4)/1. Which is bigger: c or -1?
c
Let k = 564 + -568. Let d be (-3 + 1)/(2/4). Does d = k?
True
Suppose -3*w - 2*r = 6, -4*w = w - 2*r + 10. Let t be w/(2 + 0/(-3)). Which is greater: 0 or t?
0
Let s = 0.4 + 0.6. Let v = s - 1.1. Which is smaller: v or 3?
v
Suppose 6 = 3*t + 9. Which is smaller: t or 4?
t
Suppose -5*u = -u. Let y be 40/12 - 2/(-3). Suppose 2*x + y*z + 8 = u, -x + 4 = 4*x + 2*z. Is x < 3?
True
Let r be (40/16)/(-2 - -1). Let c = -10 - -7. Is r greater than c?
True
Let x(p) = -p**3 - 12*p**2 + p + 8. Let y be x(-12). Let w = 3 + y. Do 2/17 and w have the same value?
False
Let h be (6/249)/((-2)/(-4)). Let y = -138/581 - h. Let c = -2 + 2. Is y greater than c?
False
Let f be 6/(-75)*7/2. Let i = -1/175 + f. Which is bigger: i or 1/2?
1/2
Let o(f) = f - 6. Let n be o(0). Is -4 < n?
False
Suppose -3*t + 7*l = 3*l - 4, 4*t = 5*l + 5. Let u(j) = j**2 - j - 2. Let o be u(t). Let f be -3*2/2 - o. Is f greater than or equal to 2/5?
False
Let z be 52/10 + (-2)/10. Suppose -z = -3*o + 1. Which is smaller: o or 1?
1
Let p(w) = w - 1. Let q be p(-4). Let j be 2/q + (-9)/(-15). Which is bigger: j or -1?
j
Let s = -0.1 - -0.5. Let c = -6 - -5.6. Let k = c + s. Is k <= 1/2?
True
Let s be 4/6 + (-130)/(-30). Which is bigger: s or 0.1?
s
Let w be 2*(20/(-8))/(-5). Let r be (-5)/45*(-8 + 2). Is w < r?
False
Suppose w - 3 = -2. Let h(n) be the second derivative of n**3/6 - 3*n**2/2 + 2*n. Let u be h(4). Do w and u have the same value?
True
Let h(v) = -v + 4. Suppose -o + l - 11 = -4*l, 0 = 2*o - 5*l + 7. Let q be h(o). Which is greater: 1/2 or q?
1/2
Suppose 2 = f - 3*f. Let m = 1 - f. Let b be (1 + 65/(-75))/(1/5). Is b less than m?
True
Let w(g) = 3*g**2 - 2*g + 1. Let u be w(1). Suppose 0 = d + u*d - 18. Let t be (4/(-3))/(d - 4). Is t smaller than 0?
True
Let v(m) = m**3 + 9*m**2 - 2*m - 6. Let f be v(-9). Let w be 10*3*2/f. Suppose -2*o = 2*u + 12, -2*u + w*o = u - 22. Which is smaller: u or 0?
u
Let c(o) = -5*o**2 - o - 4 + 6*o**2 - 3. Let j be c(0). Is j greater than or equal to -2/7?
False
Let t = 1.5 + 2.3. Let h = t - 4. Let f = -307/5 + 61. Is h greater than f?
True
Let m = -159 + 92. Is m equal to -67?
True
Let k be 1/(1/1) + -1. Do k and 1/5 have the same value?
False
Let p(b) = 3*b**2 - 5*b. Let k be (-4)/((-12)/(-15)) + 0. Let m be p(k). Let z = m + -801/8. Is z less than -1?
False
Let j be (-4)/(-6) + (-8)/18. Let m(v) = -5*v - 1. Let s be m(-1). Suppose s*h = -0*d - 4*d + 12, 4*h + 3*d = 10. Which is greater: j or h?
h
Let p = 8 - 4. Let r = p - 7. Let u = -5 - r. Do u and -2 have different values?
False
Suppose -4*h + 4*n - 12 = 12, -4*h - n = -1. Let j = h - -3. Suppose -4*k + 9 = -4*x - 7, k + 5 = -j*x. Is k > 2?
False
Let u = 6.7 - 7. Let g = 0.3 + u. Let s = -39 + 39. Are s and g non-equal?
False
Let b = -15 + 22. Let u = b - 7.2. Let r = -0.1 + 0.1. Which is greater: u or r?
r
Let d(l) = l**3 + 6*l**2 - 9*l - 14. Let u be d(-7). Which is greater: u or -6/59?
u
Let c be -2 - 3/(-33)*23. Is c not equal to 1?
True
Let i = -0.02 - -0.02. Let m = -5.5 - -0.5. Let t = m - -5. Is t less than or equal to i?
True
Suppose 2*d = -3*d - 10. Which is smaller: -1 or d?
d
Let y = -1/140 - -3/20. Let d be 4 - (0 + 0 + 1). Let m = -2 + d. Is y smaller than m?
True
Suppose 16 = -h - 28. Which is bigger: -43 or h?
-43
Suppose -2*l - 38 = 4*m - 8*m, 4*l = -2*m + 34. Let y = m - 10. Is y less than or equal to 2/5?
False
Let i be 18/(-30) - (-32)/(-5). Which is bigger: i or -6?
-6
Let r be -1 + -1 + (7 - 4). Let h be 1/9*(-4 - -2). Are r and h equal?
False
Let g = 104.28 + -105. Which is smaller: g or 1/2?
g
Let a be 27/12 + 2 + -4. Let m(b) = -b**2 + 9*b + 13. Let f be m(10). Suppose -5*k + 10 = -5*n, -k + f = -3*n - 3. Which is bigger: k or a?
a
Let t = -33 - -34. Which is smaller: t or 0?
0
Let o = -4.3 + -2.1. Which is smaller: o or -1?
o
Let j = -138/143 - -14/11. Which is greater: 0 or j?
j
Let a(j) = -3*j - 7. Let l be a(-2). Is l > -4/29?
False
Suppose 0 = 5*a + a + 6. Which is bigger: 0 or a?
0
Let r = 0.66 - -0.14. Is 0 greater than or equal to r?
False
Let g = 5 - 3. Let j = -2 + g. Let h(i) = -i - 2. Let l be h(-1). Which is greater: l or j?
j
Suppose -t - 14 + 0 = 4*u, -5*t + 14 = -u. Let b be (t + -1)/(1/(-1)). Let h be -3*3/(-630) - (-6)/21. Which is bigger: h or b?
h
Let b(r) = r - 6. Let p be b(7). Suppose f + p = -2. Which is smaller: f or -1?
f
Suppose 0 = 4*a - 3*a + 5*w + 16, -2*a - 2*w = 32. Which is smaller: -15 or a?
a
Let v(a) = -a + 18. Let l be v(7). Is l at most as big as 0?
False
Suppose x = 3*y + 5, 0 = -2*x - 3*y + 7 + 3. Let n = 133 - 259/2. Which is smaller: n or x?
n
Suppose -4*g = -2*f - 10, g - 13 = 2*f - 4*g. Which is smaller: f or 2/21?
2/21
Let y(k) = 5*k**2 + 17*k + 7. Let u(p) = 3*p**2 + 9*p + 3. Let n(q) = 7*u(q) - 4*y(q). Let d be n(6). Let v = 19/2 - 129/14. Is d bigger than v?
False
Let t = 18/5 - 167/45. Is t bigger than 1?
False
Let g be (-25 + 24)/(2/(-90 - 0)). Is 46 bigger than g?
True
Suppose 3*k = -0*k. Let l(y) = y - 5. Let n be l(5). Let h = n - 1. Which is bigger: k or h?
k
Suppose 0*t - 2*t = 0. Let k = -5 + 6. Is k at least as big as t?
True
Let s = -0.2 + 0.8. Let a = s - 6.6. Let t = a - -5.6. Which is greater: 0 or t?
0
Let q = 2.3 + -2. Let x = q + -0.3. Which is bigger: -0.02 or x?
x
Let s be 7/(-6) - (-4 - -3). Let m = -0.7 - -0.5. Let q = m - -0.1. Which is bigger: q or s?
q
Suppose -g = -2*r + 4, -4*r + 6*r + 8 = -5*g. Which is smaller: -1/98 or r?
-1/98
Let f = 5.498 + -0.588. Let k = 0.81 - f. Let w = 4 + k. Which is smaller: w or 2?
w
Suppose -2*v - 2*n = 2*n + 12, -2*v + 4*n + 20 = 0. Let g = -6 + 12. Suppose -w = v*w - g. Is 0.1 < w?
True
Let f(z) = -z + 5. Let n(b) = 2*b + 2. Let h be n(2). Let d be f(h). Which is bigger: d or -1/4?
-1/4
Let v = 18765/29 - 647. Let t = v + 25/58. Are t and 0.2 unequal?
True
Let t(v) be the second derivative of 0 - 1/4*v**4 - 1/20*v**5 + 0*v**3 + v**2 - 2*v. Let p be t(-3). Is p greater than 1/2?
True
Let h = 5 - -2. Suppose 36 = q + 3*q + 4*w, 0 = w - 4. Is h less than q?
False
Let h(z) = z**3 - z**2 + z + 10. Let w be h(0). Let c = w + 6. Let o = c + -47/3. Which is greater: -2 or o?
o
Let q be (12 + -15)*8/(-6). Are q and -8 non-equal?
True
Let k = -0.1 - -22.1. Let y = k - 22.6. Is y at least as big as -3?
True
Suppose 3 + 2 = -3*s + 2*g, 4*s = g. Which is smaller: -4/27 or s?
-4/27
Suppose -4*h = -2*h. Which is greater: 1/3 or h?
1/3
Let o = 8 + -6. Let n = o - 1. Let d be (2 + (-6)/2)/n. Is d > -1?
False
Let v = 79 - 1186/15. Which is smaller: 0 or v?
v
Let x = 35 + -21. Suppose -5*q - 7 = -77. Do x and q have the same value?
True
Let o(l) = l**2 + l - 1. Let u be o(-2). Is u greater than or equal to -2/29?
True
Let r be ((-12)/(-9))/((-4)/(-30)). Suppose 4*x - 6*x + r = 0. Is 5 != x?
False
Let y = -209 + 107. Let l be 6064/y - (-4)/(-6). Let r = 60 + l. Which is greater: r or -1?
r
Let d be (-4)/6 - (-462)/612. Which is smaller: -1 or d?
-1
Suppose 4 + 2 = -2*x. Let s be 8/x - 0 - 0. Let n = s + 59/21. Which is smaller: n or 1?
n
Suppose -3 = -8*b - 3. Which is smaller: b or -3/44?
-3/44
Let q(s) = -s**2 + 7*s. Let f be q(7). Suppose -5 = -f*a - a. Let w be ((-2)/a)/((-1)/5). Is w smaller than -1?
False
Let s be 9/72 - 2/16. Let j be 9/(-15)*(-2)/(-4). Is j less than or equal to s?
True
Let s = -27 - -24. Is s bigger than -5/3?
False
Let r be 904/10 + 8/(-20). Suppose -2*v + r = 3*v. Let j be (4/(-10))/(v/(-15)). Which is smaller: j or 1?
j
Let v be (-26)/55 + (-7)/(-35). Which is greater: -1 or v?
v
Let c be (-3)/(-7) + (-3)/3. Let v be 3*((-16)/6 + 2). Do v and c have the same value?
False
Suppose -2*k + 0*k - 6 = 0. Let b be (0 - 8/4)/(-2). Let x be (-15)/5 | {
"pile_set_name": "DM Mathematics"
} |
97989 for s.
72
Solve 73*d - 2181 = -1378 for d.
11
Solve 125*g + 1000 - 3159 - 7744 = 3347 for g.
106
Solve -1347*c - 15638 - 22078 = 0 for c.
-28
Solve r - 66*r = -198*r - 5453 for r.
-41
Solve 4522 = -1361338*f + 1361205*f for f.
-34
Solve 0 = -458*d + 28500 - 8318 + 8214 for d.
62
Solve 220777 = -3062*a + 64615 for a.
-51
Solve 17334 = -9249*s + 9463*s for s.
81
Solve g + 6*g - 169 = 10*g + 10*g for g.
-13
Solve 7975*w + 5299*w + 285967 - 81847 = 1934*w for w.
-18
Solve -523 = 283*u + 326 for u.
-3
Solve -33686 = -161*o - 10663 for o.
143
Solve -2196*h = -1172*h + 1674*h - 277894 for h.
103
Solve -9055*i + 9306 = -9572*i for i.
-18
Solve -489*m = -2278373 + 2235341 for m.
88
Solve 476*a + 437*a + 1551 = 866*a for a.
-33
Solve 95425 = 1491*l + 11863 - 14844 for l.
66
Solve 155 = -11928*s + 11871*s - 2125 for s.
-40
Solve -79100 = -377*n - 47809 for n.
83
Solve -704 + 1924 = 244*g for g.
5
Solve -7027 = -689*v + 135*v + 2391 for v.
17
Solve 1344*c = 2202*c + 1716 for c.
-2
Solve 902123 = 7587*m + 75140 for m.
109
Solve -2301*q + 908 - 11859 - 11619 = -6463 for q.
-7
Solve -175*m - 2730 = 24*m - 4*m for m.
-14
Solve -37220 + 174395 = -4425*y for y.
-31
Solve -338*i - 1897 = 493*i - 458 + 2716 for i.
-5
Solve -3043*c + 1126158 = 14020*c for c.
66
Solve 2150 = 1049*u - 1099*u for u.
-43
Solve 54698 = -1128*w - 502*w - 175132 for w.
-141
Solve -1575*w + 13923 = -1933*w - 29753 for w.
-122
Solve 363*k + 53*k - 31875 = -77219 for k.
-109
Solve -1011*j - 193*j - 31582 - 22598 = 0 for j.
-45
Solve 42*v = -1790812 + 1789636 for v.
-28
Solve -51*x - 6017 = 63*x + 99*x - 692 for x.
-25
Solve -139172 = -40337*w + 46663*w for w.
-22
Solve -1944*s = 2152*s - 3913*s - 1647 for s.
9
Solve -728*m = -624*m - 2808 for m.
27
Solve 467 = -508*x - 84*x - 1901 for x.
-4
Solve -19803*r + 20895*r - 43098 = -130458 for r.
-80
Solve -13964 + 58868 = 236*t + 21068 for t.
101
Solve 151*w + 12*w + 396 = 181*w for w.
22
Solve -6138 - 3049 = -72*n - 28*n - 2787 for n.
64
Solve 557 = 362*d - 381*d - 393 for d.
-50
Solve 820931*b + 172 = 820927*b for b.
-43
Solve -7838 = 268*m - 1125*m + 5874 for m.
16
Solve -616*p - 924 = -588*p for p.
-33
Solve 537*b + 14865 - 15122 = 18754 + 49188 for b.
127
Solve 21546*y + 9860 = 21206*y for y.
-29
Solve 0 = -33*v + 649 + 896 - 258 for v.
39
Solve -1242*n - 9809 = -665*n for n.
-17
Solve -31*m - 3081 = 23*m - 381 for m.
-50
Solve -206544 = 1566*d + 211*d + 1723*d + 472*d for d.
-52
Solve 39*g - 62 = 14*g + 23*g for g.
31
Solve 249*f - 11010 = 30*f - 771*f - 111*f for f.
10
Solve 8768*j + 210373 = -8827 for j.
-25
Solve 460853*f - 460827*f = 1066 for f.
41
Solve 325*y - 362*y + 90220 = 657*y for y.
130
Solve 0 = -531*v + 3813*v - 118152 for v.
36
Solve 195 + 17895 = 140*i + 2270 for i.
113
Solve 196*f + 3798 = -1070*f for f.
-3
Solve -27086 - 11914 = 1500*k for k.
-26
Solve 28285 + 34768 = 3465*l - 20107 for l.
24
Solve 208*a - 10896 = -69*a - 631*a for a.
12
Solve 366*g + 305*g - 36192 = -83*g for g.
48
Solve 438*r + 2420 = -19480 for r.
-50
Solve 57356 = 140*u + 63656 for u.
-45
Solve -116*f + 9850 = -775*f - 2029*f - 7162*f for f.
-1
Solve 0 = 10965*x - 10999*x - 2414 for x.
-71
Solve 634*b - 7844 + 445 = -4*b + 11741 for b.
30
Solve -6354*m = -1195*m - 92862 for m.
18
Solve -7258 - 282 + 1008 = -284*f for f.
23
Solve -1110 - 2202 = 69*k for k.
-48
Solve -90*q = 308*q - 1230 - 476 + 114 for q.
4
Solve -1167*c = -390*c - 364*c - 361*c - 4160 for c.
80
Solve 109*h - 54*h + 5406 = -263*h for h.
-17
Solve -28760*z + 28891*z - 814 - 5212 = 0 for z.
46
Solve -665*b - 431*b - 78936 = -71*b + 769*b for b.
-44
Solve 26*v - 1925 + 3183 = -20*v + 12*v for v.
-37
Solve -936*i = -8043*i - 8385*i + 3802*i + 198730 for i.
17
Solve 0 = -257*d + 706*d - 32328 for d.
72
Solve 330019*j + 2900 = 330135*j for j.
25
Solve -30071*q + 31000*q + 49237 = 0 for q.
-53
Solve -71263 = 10018*o + 169169 for o.
-24
Solve -2244*w - 47126 = 2268*w + 2096*w + 5738 for w.
-8
Solve k - 308 = 14*k + 31*k for k.
-7
Solve 7777*w + 258570 = 2707*w for w.
-51
Solve 24462*y = 2338757 - 186101 for y.
88
Solve 1649 + 1904 = 97*r + 709 + 225 for r.
27
Solve -172*d + 47*d - 1842 = 1908 for d.
-30
Solve 5061*x - 1849952 = -12727*x for x.
104
Solve 127*o - 253*o + 209 = 83*o for o.
1
Solve -23542*p + 22440*p + 79344 = 0 for p.
72
Solve 1860 = -196*n + 183 - 2243 for n.
-20
Solve 527*w + 86880 = 1975*w for w.
60
Solve 26250 = -1718*d - 342*d - 565*d for d.
-10
Solve -217*j - 6388 = -3133 for j.
-15
Solve 0 = -915*u + 974*u + 2360 for u.
-40
Solve -1023*j + 1310 = 11540 for j.
-10
Solve 826*v + 455*v + 30121 = 658 for v.
-23
Solve 76376 + 96381 = -1781*v for v.
-97
Solve -317*g + 2955 = -425*g + 10947 for g.
74
Solve -4228*o + 6311*o + 35411 = 0 for o.
-17
Solve -256*b = 135*b + 1484*b + 103125 for b.
-55
Solve 356*w + 918*w - 2482 = 3888 for w.
5
Solve -6720*h + 2432 = -6644*h for h.
32
Solve 4602*p = 2306 - 200192 for p.
-43
Solve 0 = -3544*h + 7591*h + 4703*h + 157500 for h.
-18
Solve -17461 = -471*h + 8121 + 3620 for h.
62
Solve -12109*v + 51418 - 507347 = -155538 + 341386 for v.
-53
Solve 766*k + 4600*k - 84204 = -223720 for k.
-26
Solve 1560 + 2027 = 32*z + 56*z - 3189 for z.
77
Solve -1520*h = -3008*h + 1588*h + 9000 for h.
-90
Solve 26191*t = 24382*t - 28944 for t.
-16
Solve 102*g - 105*g = 168*g - 855 for g.
5
Solve 25357 = -57*x + 22564 for x.
-49
Solve -175*b - 70*b + 84*b + 2*b = -8268 for b.
52
Solve 1546*x - 1790*x = 5612 for x.
-23
Solve -1226*r = -451 + 54395 for r.
-44
Solve -62394*z = -62405*z + 506 for z.
46
Solve 181*z + 1481 = 209 - 688 - 4375 for z.
-35
Solve 346*j + 24945 + 41212 = -520*j + 25455 for j.
-47
Solve -9929 - 613 = -209*f + 1529 + 1932 for f.
67
Solve -207*k - 265*k = 132*k - 7248 for k.
12
Solve 1223*l - 28344 = 75*l - 1214*l for l.
12
Solve 4219 + 3010 = 318*z + 1823 for z.
17
Solve -9*b - 68*b - 723 = -9*b - 3443 for b.
40
Solve -1159*g + 228*g - 68472 - 25192 = -24770 for g.
-74
Solve -1012 - 72 - 266 = -38*i + 360 for i.
45
Solve -4583*s = -7705*s + 455812 for s.
146
Solve 55*c - 352 - 377 = -98*c + 189 for c.
6
Solve 46169645*b - 46169736*b = 10647 for b.
-117
Solve 0 = 4059*k - 2038*k - 2030*k - 216 for k.
-24
Solve 3856*x - 4009*x - 2081 = -1722 - 4949 for x.
30
Solve -29*m - 52*m = 116*m - 2364 for m.
12
Solve 25341*k = 3030*k - 22870*k + 6460883 for k.
143
Solve 1326 = -373*i - 2031 for i.
-9
Solve 8944*n - 1328*n + 46514 - 818 = 0 for n.
-6
Solve 348*n + 267*n - 50517 + 7858 - 10846 = 0 for n.
87
Solve -14326*w + 13452*w = 8740 for w.
-10
Solve -82*r = 1218 + 1445 - 531 for r.
-26
Solve 13581 = 2337*u - 29328 - 8505 for u.
22
Solve 2854*k - 14358 = 42722 for k.
20
Solve 3566*s - 147157 = 6697*s for s.
-47
Solve 0 = 1488*a + 1090*a + 2330 - 66886 - 100436 for a.
64
Solve 199*r - 399*r - 1463 = -110*r + 337 for r.
-20
Solve -11*z + 629 = 59*z - 1751 for z.
34
Solve 883*h = -717*h + 110400 for h.
69
Solve 0 = -79*g + 399*g + 1723*g + 51075 for g.
-25
Solve 615*v + 126 + 486 = 579*v for v.
-17
Solve 15*l + 23*l + 80 - 118 = 0 for l.
1
Solve -296*c + 12852 = -810*c - 242*c for c.
-17
Solve -4661*p + 925840 = 8379*p for p.
71
Solve -6291 - 2157 = 335*y - 653 + 3595 for y.
-34
Solve 0 = -69*n - 47*n + 801181 - 789465 for n.
101
Solve 49*i = -15*i + 1989531 - 1994907 for i.
-84
Solve 0 = -3639*f + 3817*f - 7298 for f.
41
Solve 1086*r + 409*r - 46932 - 2964 = 109*r for r.
36
Solve -1062*p = -5756*p - 328580 for p.
-70
Solve 698 = 4458*p - 302446 for p.
68
Solve -145874 = 850*l - 117824 for l.
-33
Solve -17724 = 30*x - 19104 for x.
46
Solve 396792 = 3471*r - 7145*r for r.
-108
Solve -871*q + 704 = -915*q for q.
-16
Solve 313*r = -177*r + 623*r - 1606 - 1586 for r.
24
Solve 64797735*s = 64797703*s + 4704 for s.
147
Solve -55*m + 3574 - 1264 = 0 for m.
42
Solve -621*p + 5001*p - 494*p - 187702 = -626820 for p.
-113
Solve -62*l - 155*l = -121*l + 158*l - 13970 for l.
55
Solve 638*r + 740*r + 689*r + 14112 = 2214*r for r.
96
Solve -1362*s - 26314 = 1134*s + 13622 for s.
-16
Solve -4658*x = -4542*x - 7772 for x.
67
Solve 94*g - 1797 = 1380 + 1241 for g.
47
Solve 59 - 512 - 701 = -142*h + 266 for h.
10
Solve 0 = 9286*z + 160442 + 1148884 for z.
-141
Solve 0 = -3*i + 261*i + 4171 - 14749 for i.
41
Solve 7316267*h + 6210 = 7316357*h for h.
69
Solve 2191 | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {j: 6, v: 4}.
4/15
Calculate prob of sequence ltl when three letters picked without replacement from syktttlklklyytyysss.
4/969
Calculate prob of sequence bn when two letters picked without replacement from bnbbbbnnbnb.
14/55
Three letters picked without replacement from {s: 4, o: 2, v: 1, w: 1, r: 1}. What is prob of sequence vwr?
1/504
Two letters picked without replacement from {j: 4, r: 2}. Give prob of sequence jj.
2/5
Two letters picked without replacement from zzzjaaz. What is prob of sequence aa?
1/21
Calculate prob of sequence noob when four letters picked without replacement from {n: 1, b: 1, o: 2}.
1/12
Two letters picked without replacement from xtyxynxrytuxtxtyy. Give prob of sequence xu.
5/272
Calculate prob of sequence hg when two letters picked without replacement from {y: 2, a: 3, h: 1, g: 1}.
1/42
Four letters picked without replacement from tottchbbththhhqcctct. Give prob of sequence ohhh.
1/1938
Calculate prob of sequence wqbr when four letters picked without replacement from qrfqwfqwrqbwqrwrqqq.
4/2907
What is prob of sequence ubb when three letters picked without replacement from bmmubmbumm?
1/60
Calculate prob of sequence yhbl when four letters picked without replacement from hhblby.
1/90
Four letters picked without replacement from {l: 2, h: 10}. Give prob of sequence lhhh.
4/33
Calculate prob of sequence fjjf when four letters picked without replacement from {j: 2, f: 2, x: 5}.
1/756
Calculate prob of sequence rr when two letters picked without replacement from rgrrggrrrr.
7/15
Two letters picked without replacement from dnbswdsodssdonn. Give prob of sequence ob.
1/105
Calculate prob of sequence oxk when three letters picked without replacement from {o: 1, x: 1, k: 2, l: 1, u: 1, h: 1}.
1/105
Four letters picked without replacement from zzbzzbzb. Give prob of sequence zbzb.
1/14
Two letters picked without replacement from {a: 2, z: 12, r: 2, f: 2, c: 1}. What is prob of sequence ar?
2/171
What is prob of sequence mmm when three letters picked without replacement from {z: 2, m: 10}?
6/11
What is prob of sequence wwrr when four letters picked without replacement from {w: 4, r: 3}?
3/35
Calculate prob of sequence qy when two letters picked without replacement from tetwteqeqwfywyfw.
1/60
Calculate prob of sequence bcb when three letters picked without replacement from {c: 5, b: 2}.
1/21
Three letters picked without replacement from {j: 1, n: 2, s: 1, z: 2, m: 1}. What is prob of sequence msj?
1/210
What is prob of sequence ied when three letters picked without replacement from {i: 3, e: 1, d: 1, h: 1, y: 1}?
1/70
What is prob of sequence wf when two letters picked without replacement from {w: 2, f: 2, s: 11}?
2/105
Three letters picked without replacement from {h: 3}. What is prob of sequence hhh?
1
Calculate prob of sequence dpy when three letters picked without replacement from {w: 5, p: 2, d: 1, g: 1, y: 1}.
1/360
Four letters picked without replacement from {p: 4, v: 4, n: 3}. What is prob of sequence vppv?
1/55
What is prob of sequence uw when two letters picked without replacement from {w: 1, u: 1, i: 3, f: 1, p: 1}?
1/42
Calculate prob of sequence rb when two letters picked without replacement from {b: 2, j: 4, v: 1, r: 4}.
4/55
Calculate prob of sequence hdhs when four letters picked without replacement from shssshdh.
1/70
Two letters picked without replacement from {p: 1, x: 4, f: 11, k: 1}. What is prob of sequence fx?
11/68
Three letters picked without replacement from {r: 5, q: 11}. What is prob of sequence rrr?
1/56
Calculate prob of sequence hm when two letters picked without replacement from hghmg.
1/10
Two letters picked without replacement from zllddaeaeelala. What is prob of sequence ed?
3/91
Two letters picked without replacement from {e: 2, s: 1, u: 1, x: 2, r: 2, t: 1}. Give prob of sequence rx.
1/18
Three letters picked without replacement from {n: 1, y: 1, a: 2, w: 1, p: 1, s: 1}. What is prob of sequence pwn?
1/210
What is prob of sequence dpr when three letters picked without replacement from {r: 2, q: 1, p: 2, d: 1}?
1/30
What is prob of sequence jzft when four letters picked without replacement from {z: 2, m: 2, f: 1, t: 1, j: 1, b: 1}?
1/840
Calculate prob of sequence zww when three letters picked without replacement from zwwzzzwwwwwzzwzzwzz.
40/323
Four letters picked without replacement from {j: 7}. Give prob of sequence jjjj.
1
Calculate prob of sequence ggs when three letters picked without replacement from {g: 2, h: 2, s: 1}.
1/30
Calculate prob of sequence zg when two letters picked without replacement from {r: 3, z: 1, g: 2, s: 1}.
1/21
Three letters picked without replacement from {d: 2, t: 2, o: 4}. Give prob of sequence tdt.
1/84
Calculate prob of sequence hhgg when four letters picked without replacement from {g: 9, h: 3}.
2/55
Three letters picked without replacement from nzznraqr. Give prob of sequence rqa.
1/168
What is prob of sequence vz when two letters picked without replacement from {z: 5, t: 2, v: 4}?
2/11
Four letters picked without replacement from {z: 3, g: 1, v: 2, y: 3, l: 4, m: 2}. What is prob of sequence mgyy?
1/2730
What is prob of sequence ee when two letters picked without replacement from ehhhehxe?
3/28
Two letters picked without replacement from rrkrereeerrrrekr. What is prob of sequence ek?
1/24
What is prob of sequence tmt when three letters picked without replacement from {b: 2, m: 1, f: 4, t: 9}?
3/140
Three letters picked without replacement from {u: 3, a: 5, d: 2, w: 5, m: 1}. Give prob of sequence dmu.
1/560
What is prob of sequence ow when two letters picked without replacement from {w: 2, o: 5, g: 7}?
5/91
Two letters picked without replacement from bblllbtb. What is prob of sequence tb?
1/14
Calculate prob of sequence gfr when three letters picked without replacement from {g: 2, f: 7, r: 1}.
7/360
Four letters picked without replacement from {m: 1, u: 1, q: 4, v: 1, h: 1}. What is prob of sequence vmqu?
1/420
What is prob of sequence zt when two letters picked without replacement from {l: 2, w: 3, m: 2, z: 3, t: 10}?
3/38
What is prob of sequence ppy when three letters picked without replacement from yccpdcpwypccy?
3/286
Calculate prob of sequence ef when two letters picked without replacement from {f: 2, e: 5}.
5/21
Two letters picked without replacement from wonvn. What is prob of sequence ov?
1/20
Two letters picked without replacement from {e: 1, t: 1, w: 1, r: 1, u: 2, n: 1}. What is prob of sequence wr?
1/42
Three letters picked without replacement from kkgjkgkkjgkggkk. What is prob of sequence jjg?
1/273
Three letters picked without replacement from qklqtlkkkqqkk. Give prob of sequence qqq.
2/143
Four letters picked without replacement from {n: 5, g: 1, a: 1, b: 10}. Give prob of sequence bnbn.
15/476
Calculate prob of sequence vxd when three letters picked without replacement from bkkxkdkkvvkdbbkkdxv.
1/323
What is prob of sequence qiii when four letters picked without replacement from iiiiiqqiiiii?
4/33
Two letters picked without replacement from {m: 1, v: 5, q: 2, x: 8}. Give prob of sequence vq.
1/24
Three letters picked without replacement from hokuwowwwwkw. Give prob of sequence kwo.
1/55
What is prob of sequence ntn when three letters picked without replacement from ttnntttttt?
1/45
What is prob of sequence yd when two letters picked without replacement from {h: 1, r: 1, s: 2, i: 2, y: 2, d: 1}?
1/36
Three letters picked without replacement from zzczrrzzkokcrrizi. What is prob of sequence ocz?
1/340
Two letters picked without replacement from hgg. What is prob of sequence gg?
1/3
Three letters picked without replacement from ssvvksssskss. What is prob of sequence kkv?
1/330
Three letters picked without replacement from {m: 2, d: 4}. What is prob of sequence ddm?
1/5
Three letters picked without replacement from uiieujjjehikkiue. Give prob of sequence keh.
1/560
Two letters picked without replacement from {t: 4, p: 2, r: 1, z: 1}. What is prob of sequence pt?
1/7
Three letters picked without replacement from {g: 7, b: 2, p: 1}. Give prob of sequence pbb.
1/360
What is prob of sequence sxs when three letters picked without replacement from {o: 1, x: 2, w: 1, s: 2, a: 1}?
2/105
Three letters picked wit | {
"pile_set_name": "DM Mathematics"
} |
2 + 90*t
Expand 370 - 202 - 169 - 390*f + (-f + 0*f + 3*f)*(-2 + 1 + 2) + 1 - 1 + 2*f.
-386*f - 1
Expand (2 - 6 + 3)*(-1 - 21 - 11)*((-1 + 0 + 0)*(0*f - 3*f + 4*f) + 5*f - 4*f - 3*f + (2*f - 2*f + 2*f)*(-2 - 1 + 6)).
99*f
Expand (0*o**2 - o**2 - 6*o + 0*o**2)*(-1 - 16 + 7)*(-13*o - 2 - 40 + 18*o).
50*o**3 - 120*o**2 - 2520*o
Expand 38*q**3 + 55*q - 55*q + (3 - 1 - 1)*(0 + q**3 + 0) - 2*q**3 - 3*q**3 - 10*q**3.
24*q**3
Expand (-1150 - 33 - 294)*(-2*o - 2 + 2)*(-14 + 8 - 23).
-85666*o
Expand (3*o**4 - o**4 + 0*o**4)*(-1 - 1 + 1)*(274*o - 85*o + 67*o).
-512*o**5
Expand (-2 + 2 + 2*d)*(-3 + 3 - 2*d) + d**2 + d**2 - 3*d**2 + (-20*d + 9*d + 63*d)*(-8*d + 2 - 2).
-421*d**2
Expand (750*d + 1209 - 1209)*(6*d - 49*d + 37 - 38).
-32250*d**2 - 750*d
Expand (-3 - 4*k + 3 + (0 - 1 + 0)*(1 + k - 1) + 13 - 23 + 11 + 7*k)*(0*k - k + 2*k)*(0 - 1 + 3).
4*k**2 + 2*k
Expand (0*m**2 - 2*m**2 + 0*m**2)*((-2*m - 4*m + 0*m)*(-1 + 0 + 0) - 53*m + 16*m + 12*m).
38*m**3
Expand -3 + 3 + m**2 + (2*m + 2*m - 2*m)*(-m - m + 3*m) - m + m + 3*m**2 + (-2*m + 0 + 0)*(-3*m + 3*m - 4*m) - 11 - 15 + 24 + 41*m + m**2.
15*m**2 + 41*m - 2
Expand (-2 + 2 + 2*h**2)*(2 - 2*h**3 - 2) - h**3 + 2*h**5 + h**3 + 40 - 1689*h**5 - 289 + 44 + 205.
-1691*h**5
Expand 2*c**5 - c**5 - 2*c**5 + (-183*c + 336*c + 332*c)*(-4*c**4 + c**4 + 5*c**4) + (3 + c - 3)*(-c**4 + 2*c**3 - 2*c**3).
968*c**5
Expand (-37 + 8*j + 37)*(j**3 + 3*j**3 - j**2 + 3*j**2) + (-3*j**3 + 4*j**3 - 14*j**3)*(-2*j + 0*j + 0*j).
58*j**4 + 16*j**3
Expand (p - 2*p + 2*p)*((-5*p + 2*p + 0*p)*(1 + 2 - 5)*(-6 + 3 + 1) - 96*p + p + 174*p)*(-206 - 24*p + 206).
-1608*p**3
Expand -2306*j**4 + 761*j**4 + 523*j**4 + (-3*j**3 + 7*j**3 + j**3)*(-3*j - 3 + 3).
-1037*j**4
Expand (3 + 0 + 0)*(-5*b**2 + 4*b**2 + 0*b**2) + (0 + 3 + 0)*(-39*b - 144*b**2 + 39*b).
-435*b**2
Expand (0 + 0 - 2)*(-5*s**2 + 60*s**2 + 64*s**2)*((-2*s + 0*s + 0*s)*(s + 2 - 2) - 1 + 1 + s**2 + 5*s**2 - 9*s**2 + 0*s**2).
1190*s**4
Expand (9143*n**2 + 650*n - 9142*n**2 - 134*n)*(9*n + 3*n**2 + 71 - 71).
3*n**4 + 1557*n**3 + 4644*n**2
Expand -6356*x**3 + 10396*x**3 - 6517*x**3 + (x**2 - 4*x**2 + 5*x**2)*(-2 + 2 + x).
-2475*x**3
Expand (-1 - 2 + w + 5)*(2 - 2 + 2*w + 3 - 3 - w + 3*w + 0*w - 5*w - 3 - w + 3 + (w - 4*w + 5*w)*(-2 - 1 + 4) + 2*w - w - 4*w) - 74*w**2 - 174*w + 174*w.
-77*w**2 - 6*w
Expand (-155 - 223 + 35)*(1 - 4 - 4)*(3 - 2 + 1)*(3*a + 3*a - 3*a).
14406*a
Expand (-3*l + 3*l - l**2)*(-3*l - l + 6*l) + l**3 - 10*l**2 + 10*l**2 + 2 - 2*l**3 - 2 + 18*l**3 - 70*l**2 + 70*l**2.
15*l**3
Expand (-4 + 2*u + 4)*(-5*u - 15 + 6*u + 0)*(4*u**3 - 15*u**3 - 8*u**3 + (-2*u + 3 - 3)*(-2*u**2 + 0*u**2 + u**2)).
-34*u**5 + 510*u**4
Expand (-221 - 104 + 137 - 360)*(-v - v + 5*v).
-1644*v
Expand (-f**3 - 2*f**3 + 2*f**3)*(-4*f**2 + 2*f**2 - f**2) - 147*f + 93*f + 79*f - 4*f**5.
-f**5 + 25*f
Expand (5*p - 3*p - p)*(-2*p + 2 - 3 + 7) - 28*p**2 + 10*p**2 - 118*p**2.
-138*p**2 + 6*p
Expand (-1 + 7 - 4)*(3674*v + 2693*v + 774*v + 523*v + 8469*v).
32266*v
Expand (0*a + 2*a**2 + 0*a)*(-35*a**2 + 34*a**2 + 2*a**2 - 203).
2*a**4 - 406*a**2
Expand 602*o - 91*o**5 - 173*o**5 - o**3 - 89*o**5 + 354*o**5 + (-1 + 1 - 1)*(-5*o**5 + o**5 + 2*o**5) - 2*o**4 + o**5 + 2*o**4.
4*o**5 - o**3 + 602*o
Expand -4*f + 3*f + 5*f + 3 - 4*f - 3 + (6 - 1 - 3)*(815*f + 17 - 32 + 13).
1630*f - 4
Expand 111 + 18*s**2 - 111 + (0*s**2 - 4*s**2 + 0*s**2)*(3 + 2 - 2).
6*s**2
Expand 7*f - f - f + (1 + 1 - 4)*(3*f - f - 4*f + (f - 2*f - f)*(0 + 1 + 0) - 29*f - 28*f - 2*f).
131*f
Expand 23 + h**2 + 0*h**2 + 25 - h**2 - 2*h**2 + 9*h**2 + (-2 + 1 + 3)*(8*h - 8*h + 4*h**2) + 4*h**2 + 0*h**2 - 5*h**2.
14*h**2 + 48
Expand 0*z**4 + 5*z**4 - 3*z**4 - z**3 + z**3 - 2*z**4 + (-z - 3*z - 4*z)*(2 + z**3 - 2) - 31*z**3 + 58*z**3 - 50*z**3 + z**4.
-7*z**4 - 23*z**3
Expand 926*l - 29*l**4 - 926*l + (-6*l - 4 + 4)*(0 - 1 + 3)*(-6*l**3 + l - l).
43*l**4
Expand (4 - 1 - 1)*(-226*c**2 + 978*c**2 + 130*c**2)*(c**3 + 0*c**3 - 4*c**3).
-5292*c**5
Expand (-w**3 + 0*w**3 - w**3)*(3 - 8*w - 3)*(1 - 1 + 2 + (1 - 7 + 7)*(-1 - 3 + 6) + 1 + 3 + 1).
144*w**4
Expand (3 + 3 - 1)*(-2*o - 30 + 18 + 14) - 2*o - 4*o - 2*o.
-18*o + 10
Expand (2 - 1 + q + 1)*(-2*q**3 + 3*q**2 - 3*q**2)*(-18074 + 1424*q + 18074).
-2848*q**5 - 5696*q**4
Expand 2*q**5 + 1 - 1 + (-3*q**4 + 7*q**5 + 3*q**4)*(-36 + 64 + 176).
1430*q**5
Expand (5*q - 6*q + 2*q)*(0 - 2 + 0) - 4*q + 3*q + 0*q + q + 2*q - 2*q + (-43 + 33 - 38)*(2*q - q + 6*q).
-338*q
Expand (-4*n - 3*n + 5*n)*(-13781 + 13229590*n + 1123 - 13229588*n - 28).
-4*n**2 + 25372*n
Expand (3*v - v + 0*v)*(1 - 2*v**2 - 5 + 7 - 56 + 56 - 4*v**2 + 3*v**2 - 2*v**2 - 3*v**2 + (-2*v + v**2 + 2*v)*(4 - 1 - 2)).
-14*v**3 + 6*v
Expand (13*j + 9*j - 30*j)*((0 + 0 + 1)*(-2*j + 2*j + 2*j**2) + (-2*j + 4*j - 3*j)*(0*j + 0*j + 2*j) + j + j**2 - j)*(-2*j + j + 4*j).
-24*j**4
Expand (14*o + 13*o - 14*o)*(2 - 4 - 2) - 3*o + 2*o + 0*o + (-1 + 1 + o)*((3 - 5 + 0)*(1 - 3 + 1) - 3 + 3 + 4)*(0 + 2 - 3).
-59*o
Expand (13*k + k - 3*k)*(0*k + k - 2*k)*(45*k**2 + k + 41 - 48*k**2 - 2*k).
33*k**4 + 11*k**3 - 451*k**2
Expand (1469*z - 1496*z - 117 + 44)*(2*z - 2*z + z).
-27*z**2 - 73*z
Expand (-6*n + 3*n + 2*n + n + 2*n - 2*n + (0 - 3 + 1)*(-n - 1 + 1) - 5*n + 2*n + 4*n)*(-490*n - 7 + 854*n - 420*n).
-168*n**2 - 21*n
Expand (4*i - i + 0*i)*(3615*i**3 - 1998027 + 1998027 + (-2 + 2*i + 2)*(-i**2 - 2 + 2)).
10839*i**4
Expand (-1 + 4 - 5)*(-z**3 - 7 + 8045*z - 8051*z - 11).
2*z**3 + 12*z + 36
Expand 4*a + 5*a + a + (1 + 2 - 5)*(a - 4*a - 5*a) - a + 0*a + 0*a + (0*a - 3*a + 2*a)*(-3 + 2 - 1) + 0*a + a + 0*a + 2*a - 3*a + 0*a.
27*a
Expand (28 - 28 + 6*l)*(11*l**2 - 12 + 12 + (0*l - l + 2*l)*(1 + 2*l - 1)).
78*l**3
Expand -2*x**5 + x**5 - 2*x**5 + (2 - 2 + 2*x)*(-1 + 1 + 2*x**4) - 98*x - 34*x + 0*x**5 + 2*x**4 + 5*x**5.
6*x**5 + 2*x**4 - 132*x
Expand (-3 - 2 + 15)*(-956*h - 3 + 455*h + 434*h).
-670*h - 30
Expand (15160337 - 15160337 - 790*l)*(-6*l + 2*l + 3*l)*(0*l + 6*l - 2*l).
3160*l**3
Expand 12*n - 12*n + 4*n**2 + (-25 - 32 + 77)*(-4*n**2 - n**2 + 4*n**2).
-16*n**2
Expand -73354 - 6*d + 73302 + 2*d - 4 - 3*d + 4 + (1 - 1 - 2*d)*(1 - 3 + 3).
-9*d - 52
Expand (-6*o - 1 + 0*o - 4 + 3*o)*(-1258 + 1258 + 375*o).
-1125*o**2 - 1875*o
Expand (20 + 14 + 23)*((-3 + 1 + 0)*(-q + 0*q - q) + 36 + 3*q - 36).
399*q
Expand -81 + 81 + 7*c + (-815 - 35*c + 815)*(-1 - 3 + 6).
-63*c
Expand -3*z**5 + z**5 - 14*z**5 + 1093*z**4 - 1093*z**4 - 28*z**5 + (z + z**3 - z)*(0*z**2 + 0*z**2 + z**2).
-43*z**5
Expand (-9*y**3 - 78*y**3 - 79*y + 83*y)*(-y + 2*y + y + (-4 + 1 + 0)*(-2 - 2*y + 2))*(2 - 2 - 3).
2088*y**4 - 96*y**2
Expand 4*j**5 + 4*j**5 - 6*j**5 + (-2*j**3 + 2*j**3 + 2*j**3)*(-3 + 2*j**2 + 3) - 3*j**5 - 6*j + 6*j - 22*j**5 - 16*j**5 - 32*j**5.
-67*j**5
Expand (-p + 3*p - p)*(-5 - 2 + 5)*(622 + 2323 - 443 + 2049).
-9102*p
Expand (2*c - 23*c - 2*c)*(-15*c + 25 - 25 + c + 2*c - 4*c + (-3 + 0 + 1)*(-2 + 2 - 2*c) + 2*c - 5*c + 4*c - c + 0 + 0).
276*c**2
Expand (0*j - 6*j + 2*j)*(-24 + j + 24)*(5 - 9 + 0).
16*j**2
Expand (5*j**3 - 4*j**3 + 5*j**3)*(71 - 71 + 379*j**2) - 2*j**3 + 3*j**5 + 0*j**3 - 5*j**5.
2272*j**5 - 2*j**3
Expand (434293 - 1941*u**2 - 434293)*(2*u + 0*u + 0*u)*(-4*u**2 + 5*u**2 + 11*u**2).
-46584*u**5
Expand (-2 - 2 + 2)*(4556*w - 9989*w - 13233*w)*(-3*w - 2 + w + 1).
-74664*w**2 - 37332*w
Expand (-44*r**3 + 63*r**3 + 63*r**3)*(-18 - 3 + 7)*(4 + 5 + 2 - 4).
-8036*r**3
Expand 17*f - 22*f**2 - 17*f + (-3*f**2 + 2*f**2 + 0*f**2)*(-2 - 1 - 1).
-18*f**2
Expand -287*w**3 - 12972*w + 12972*w + (-4 + 0 + 1)*(-3*w**3 - 2*w**3 + 3*w**3).
-281*w**3
Expand (4 + 2*d**2 - 4)*(2 - 3*d - 2) - 2*d**3 + 0*d**3 + 3*d**3 + (6*d**2 + 3 - 3)*(-4*d - 5 + 5) + (-2*d - 2 + 2)*(d**2 + d - d).
-31*d**3
Expand (19 + 26 + 26)*(161*p + 25*p + 199*p)*(-p**2 - 1 + 1).
-27335*p**3
Expand 7*n**5 + 8*n**5 - 7*n**5 + (-4*n + n + 2*n)*(-6*n**4 + n**4 + 0*n**4) + 0*n**5 - 2*n**4 - n**4 - n**5.
12*n**5 - 3*n**4
Expand (2 - 2 + 3*a)*(30*a**2 + 60*a**2 + 2*a**2) + 0*a**3 - a**3 + 2*a**3 - 4 + 4 - 3*a**3.
274*a**3
Expand (150*l**2 + 39*l**2 - 5*l**2)*(2*l**3 - 2*l**3 - l**3 - l**2 + 2*l**3 + l**2 + (3 - 1 - 3)*(5*l**3 - l**3 - 5*l**3)).
368*l**5
Expand (-5*c + c - 18*c)*(3*c**2 - 2*c**2 + 99 - 98 - 6*c**3).
132*c**4 - 22*c**3 - 22*c
Expand (14 + 7*l - 14)*(-2*l - l + 5*l)*(-239*l - 35*l + 39*l).
-3290*l | {
"pile_set_name": "DM Mathematics"
} |
)).
12/5
What is (900930/(-944))/(-509)*4/15?
1/2
What is the value of ((144/(-486))/(5/(-5)))/4?
2/27
Calculate ((-208)/(-36))/(3212/2409).
13/3
Evaluate (9/(-6)*22/99)/(5*5/2400).
-32
(-3)/(2/1*126/(-924))
11
Calculate (63/(-5))/(127/96520*228).
-42
What is the value of ((-20)/144*-6)/((-145)/4698*-6)?
9/2
Evaluate (2/(-299))/((-200)/7800).
6/23
What is (((-25088)/42)/14)/((-90)/54)*15/(-6)?
-64
Evaluate (-384160)/8575*(-5)/7.
32
Evaluate (-24)/(-20)*(9275/315)/53.
2/3
Calculate (13*1)/((-207)/27*(-204)/3128).
26
Calculate (48/(-64)*(-50)/(-30))/((-8)/(-288)).
-45
Evaluate (-6)/((-1404)/1365)*(-24)/4.
-35
Calculate 3400/(-300)*126/(-119).
12
What is (203/(-116))/(5*(-19)/1140)?
21
(268/(-201))/1*((-9)/(-28))/1
-3/7
What is 854/(-488)*-12*1/7?
3
What is the value of (((-54)/90)/((-528)/(-480)))/((-100)/(-11))?
-3/50
What is -1067*(57/(56088/(-123)))/(11/8)?
97
What is the value of (-200)/(-480)*(-16)/5*(-375)/(-20)?
-25
What is -3*(3/30)/((-18183)/1595)?
1/38
What is the value of (((-23881)/(-167))/(-11583))/((-1)/(-2))?
-2/81
(-29)/(1450/(-25))*(-42)/28*564/9
-47
Calculate (-15)/(-2)*((-6)/3)/(((-3354)/(-364))/43).
-70
What is ((2/3)/((-68)/(-51))*16/2)/(-118)?
-2/59
(-44)/56*4*980/(-56)
55
What is the value of ((-63)/252*2*3)/((77/(-182))/11)?
39
((-46)/134458*-74)/1
2/79
(13218/(-17624))/(2/(-136))
51
Calculate (3/24*-14)/((112/(-896))/(1/6)).
7/3
Evaluate (234/(-36))/(-12*(-10)/60)*4/1.
-13
What is (3*21/126)/(34*(-15)/40)?
-2/51
Calculate (2/(-34))/(((-3)/2)/(168/(-112))).
-1/17
Calculate ((-59)/(944/200))/(2/(32/((-16)/4))).
50
Calculate (9/33)/(((-13468)/(-407))/52).
3/7
What is (13/((-13)/(-10)))/(1208/9060)?
75
What is ((-21)/4)/(505/2020)?
-21
Calculate (((-10375)/498)/(-125))/(2/(-516)).
-43
What is 2610/(-2175)*(-9)/(-2862)*50*3/15?
-2/53
Calculate 5/(-4)*10*(-48)/(-400)*224/140.
-12/5
(756/(-4))/1*((-2028)/(-182))/(-39)
54
What is the value of 684/(-24)*((-105)/14)/15*4?
57
(84/(-98))/((-4722)/38563)
7
What is (-112)/(-192)*(-26)/(-91)*48?
8
(2/((-400)/(-56)))/(161/(-1610))
-14/5
Calculate (-1)/(((-441)/(-756))/((-6020)/80)).
129
(-78)/((-24336)/(-14430))*8/10
-37
Evaluate (-82*2/(-7))/(17*112/6664).
82
Calculate -10*(-12)/(-600)*(-5)/((-25)/(-70)).
14/5
What is 156/234*(45/(-4))/((-10)/((-20)/(-3)))?
5
Evaluate (1/2)/(28/6*2985/(-87560)).
-22/7
(2/(-3))/((1508/87)/4)
-2/13
(124/(-186))/(414/10557)
-17
Evaluate ((-4)/12)/(-6*3/27)*(-558)/(-9).
31
Evaluate (14/49)/((-60)/(-210))*(-12)/(-9).
4/3
Evaluate ((24/(-40))/((-27)/(-75)))/(35/(-126)).
6
(((-8351)/(-1193))/((-28)/6))/(-1*12/680)
85
Evaluate (40/112*7)/((-53)/742).
-35
What is the value of (-24)/13*(-1431)/5724?
6/13
Evaluate ((-636)/(-9))/(4852/(-3639)).
-53
((-148)/(-518))/(((-68)/(-21))/4)
6/17
What is the value of (68/36652*98)/(2/66)?
6
(135/36)/(1308/1744)*(-4)/(-10)*-2
-4
660/9*993/(-1655)
-44
What is 1*4060/29*2*(-5)/(-80)?
35/2
Evaluate (((-12)/8)/(-3))/(((-68085)/(-34))/(-45)).
-1/89
What is 4*6/(-96)*(-4600)/6325?
2/11
2/(423*(-68)/306)
-1/47
What is (4/(-25))/((-1728)/(-4320))?
-2/5
What is ((18/(-7))/(-1*153/30))/((-2048)/(-7168))?
30/17
What is ((-7)/(189/(-18)))/((-3)/(-16)*(-4800)/(-720))?
8/15
What is the value of 7/(1029/245)*1?
5/3
What is the value of -4*((-57915)/(-2106))/(-1*1)?
110
3/(-459)*-17*24*(-35)/(-10)
28/3
(28/119*-6)/((-1)/34)
48
Calculate (98/12936)/(((-126)/77)/(-6)).
1/36
Evaluate 2*(-33)/((-3003)/4277).
94
Evaluate 426/355*1180/1947.
8/11
Evaluate (30/20)/(9/2*52/(-4056)*-13).
2
What is (-535)/(-3)*(-11526)/(-19210)?
107
What is the value of (-2080)/(-208)*(((-588)/10)/(-6))/(3/(-3))?
-98
105*((-33)/(-99))/(5/3)
21
(6/4)/((((-9)/54)/(-1))/((-1748)/171))
-92
What is -9*(48/1035)/16*(-11)/((-286)/(-65))?
3/46
What is (3/(-10))/((-3090)/298700)?
29
What is the value of (-51)/(((-135)/(-210))/(20/(980/(-21))))?
34
Evaluate ((1595/(-125))/29)/(6/(-30)).
11/5
((-16)/(-2)*15)/((-483)/(-33166)*103)
80
What is the value of (-1)/42*549/(-122)*(-40)/300?
-1/70
What is ((38227/508)/301)/((-2)/(-16)*2)?
1
Evaluate (840/18)/4*(-3)/(-80)*28/7.
7/4
What is the value of (((-316305)/426)/(-495))/(3/44)?
22
(-24128)/(544/17)*9/(-117)
58
What is the value of (15/(-18))/((-11800)/(-3540))?
-1/4
What is (-2394)/(-114)*(-1)/(-6)*(-42)/42?
-7/2
(3550/(-40))/(((-15675)/220)/(-57))
-71
Calculate (((-44)/10)/(-11))/((-1113)/(-1060)).
8/21
What is the value of 3*(52/(-1235))/(((-528)/(-200))/(-11))?
10/19
Evaluate (50/(-126))/((-683)/((-3767428)/5910)).
-10/27
Evaluate ((12/(-2))/(38/(-19)))/((-2)/(-94)).
141
Calculate ((-704)/(-24))/((-2900)/(-2175)).
22
Evaluate (-20)/(-18)*(-17)/1530*108.
-4/3
What is ((-2)/4)/(((-2)/7)/((-2464)/131516))?
-2/61
What is the value of (1*-1)/(6*9/378)*179/(-358)?
7/2
What is (3/(-90))/(((-3317)/107)/(-279))?
-3/10
What is ((-3)/23)/((-1005)/(-354430))?
-46
Calculate ((-6)/(-3))/((72/4)/1).
1/9
What is the value of ((28/6)/(-2))/((-77567)/1961337)?
59
Calculate (4/9*(-3051)/(-372561))/((-14)/(-49)).
2/157
What is the value of 527/(-1156)*-34*-2?
-31
Evaluate (-8*(-67)/(-1072))/((-5)/(-20)*-218).
1/109
What is the value of (11/(-616)*-21)/((-37)/(-4144))?
42
What is (5/((-245)/(-3)))/(14742/11466)?
1/21
Calculate (-4)/(-13)*(-1483300)/8150.
-56
What is the value of 122808/25585*((-2)/(-81))/(2/30)?
16/9
What is the value of ((-27)/891)/((-11)/198)*110?
60
(-1795)/(-359)*(-156)/(-5330)
6/41
Evaluate (-333)/296*1144/39.
-33
Calculate ((-124)/8)/(275/(-220)).
62/5
(((-75)/210)/(25/60))/(21/98)
-4
Evaluate -3243*-58*1/(-4002).
-47
What is the value of (-3870)/(-27735)*(-1)/(-4)*4/(-3)?
-2/43
What is the value of 22*((-12950)/100)/259?
-11
Calculate (-300)/312*-8*4/80.
5/13
What is the value of 144/(303/(-202)*3)?
-32
What is ((-96)/(-4))/((-412)/824)?
-48
What is the value of 4514/(-4514)*(-29)/((-1)/((-3)/3))?
29
Evaluate (-36790)/(-849)*6/(-845)*-5.
20/13
Calculate 96/(((520/26)/20)/(2/(-4))).
-48
What is 45/60*(-6076)/651?
-7
Calculate -11*1976/1254*(21/2)/(-7).
26
(-188736)/157280*(-1)/33
2/55
((4437/(-290))/51)/(3/12)
-6/5
((-5)/((-245)/14))/((520/(-3705))/((-28)/6))
19/2
Evaluate (-30)/(-95)*182/(-156)*(-45)/(-420).
-3/76
Evaluate -2*(-36)/((-7560)/245).
-7/3
(-16*18/(216/15))/((1705/66)/31)
-24
124/10*84/(504/(-15))
-31
What is 204/(18*22/(-1782)*9)?
-102
What is the value of -16*396/(-1440)*((-9)/2)/((-1)/(-5))?
-99
What is ((-396)/(-770)*28)/((-98)/735)?
-108
8/(8/(-9))*(-7440)/(-1395)
-48
((-77)/315)/(253/(-138))*1845/(-30)
-41/5
(57*20/(-36))/(6/(-18))
95
Calculate ((-120)/42)/((89/(-623))/((-15)/(-3))).
100
Evaluate (((-63)/105)/(594/(-15))*-9)/((-6)/(-4)).
-1/11
Evaluate ((-10)/(-6))/(-1)*6216/1776*72/(-4).
105
Evaluate (3895/9348)/((-9)/180).
-25/3
Calculate (-1470)/924*2*-11.
35
What is the value of 2/(-7)*1*-3*159/((-64395)/(-2268))?
24/5
Calculate ((-6)/(-9))/((-134)/(-1742)*(-78)/360).
-40
Evaluate (207/((-1449)/(-14)))/(5/((-5)/(-53))).
2/53
What is the value of (-786)/(-2096)*3976/(-21)?
-71
((-2)/34)/(10*(85/(-136))/((-75)/12))
-1/17
14/((-910)/(-39))*(-24)/264
-3/55
1/(12/(-50))*(-21504)/1792
50
Evaluate ((-704)/440*15/16)/(-1*4).
3/8
Calculate (9919/(-15478))/91*2.
-1/71
2660/(-245)*(-630)/180
38
((-8)/(-36)*1)/(-7*25/12600)
-16
Evaluate (115/(-15))/((38/(-1140))/(1/(-5))).
-46
What is the value of (-1)/((-9)/((-756)/70))*7/(-434)*-5?
-3/31
Calculate (-5)/(15/(-2))*-63*(-59)/(-354).
-7
Evaluate (-3*8/(-216))/((-90)/4455).
-11/2
(-11)/((-3685)/6)*340*(-54)/(-7344)
3/67
What is 2156/704*-40*(-4)/(-14)?
-35
Calculate (1240/(-800))/((-169)/(-6760)).
-62
Calculate ((-139)/(-2))/(336/75936*-113).
-139
Calculate ((((-5)/5)/(-6))/(28/(-18)))/((-1396)/(-27920)).
-15/7
What is the value of ((-3)/105*-14)/(((-4)/4)/(-25))?
10
What is (227502/(-155115))/((-22)/12)?
4/5
Calculate 9/(-58)*(14/1701)/((-2)/(-27)).
-1/58
Calculate (2/(-10))/(265/((-1325)/(-51))).
-1/51
Evaluate 14/(-36)*1736/6076*2/4.
-1/18
Evaluate ((-15)/273)/((-14)/(-980)*5).
-10/13
What is ((-10)/(-4)*(-26)/39)/(9/27)?
-5
(27/(-19575))/((962/(-26))/370)
2/145
What is ((-63)/(-105))/(((-84)/49)/(-4)*(-42)/12)?
-2/5
What is the value of ((-3)/18*-2)/(-1)*(-2334)/(-9336)?
-1/12
What is ((-44)/33*2)/((-329)/(-10998)*26)?
-24/7
What is the value of 93/(((-60900)/140)/(-145))?
31
((-6)/42*(-2784)/232)/(1/35)
60
11/4*18020/19822
5/2
What is the value of 12*180/(-6) | {
"pile_set_name": "DM Mathematics"
} |
t l(w) = -5*w**2 - 170 + 27 + 155. Give -8*g(y) + 3*l(y).
y**2 + 4
Let x(z) = -4*z + 2. Suppose 39 = -5*u + 14. Let l(c) = -4*c + 2. Determine u*l(o) + 4*x(o).
4*o - 2
Let u(n) = 78*n**2 - 4 - 90*n**2 + 31 - 27*n. Let k be 0 + (-2 - 0 - 0). Let t(i) = i**2 + 2*i - 2. What is k*u(z) - 27*t(z)?
-3*z**2
Let u(n) = -145901*n**2 - 2261*n - 2261. Let s(a) = 387*a**2 + 6*a + 6. Give 2261*s(q) + 6*u(q).
-399*q**2
Let o = -5 + 1. Let a(w) = -w. Let q(x) be the third derivative of -x**5/20 - x**4/12 + 11806*x**2. Give o*a(g) + 2*q(g).
-6*g**2
Let d(i) = -836*i**2 - 6*i - 2. Let b(h) = -841*h**2 - 5*h - 2. Give 6*b(t) - 5*d(t).
-866*t**2 - 2
Let d(w) = 5*w - 5. Let g(q) = 6*q + 0*q + 0*q - 5*q. Determine d(y) - 3*g(y).
2*y - 5
Let x = -85 + 90. Suppose 5 = -5*d + x*v, -4*d - v + 17 = 2*v. Let l(y) = -y**3 + y + 3. Let w(h) = -3*h**3 + 2*h + 6. Give d*w(s) - 5*l(s).
-s**3 - s - 3
Let t(h) = -h**3 + h**2 - 2*h - 1. Let b(j) = 12*j**3 - 8*j**2 + 14*j + 3. What is -b(f) - 6*t(f)?
-6*f**3 + 2*f**2 - 2*f + 3
Let y be (-806)/117 - (-5)/(-45). Let r(i) = -6*i**2 - 7. Let g(h) be the first derivative of h**3 + 3*h + 2. Determine y*g(x) - 3*r(x).
-3*x**2
Let b(d) = -3*d - 5. Let t(q) = -9*q - 14. Suppose -7*h + 21 = -182. Let r = 32 - h. What is r*t(f) - 8*b(f)?
-3*f - 2
Let w(f) be the second derivative of -f**5/20 + f**4/12 - f + 14. Let i(s) = 7*s**3 - 6*s**2 - 2*s + 3. Calculate -i(z) - 6*w(z).
-z**3 + 2*z - 3
Let x(n) = 14*n - 26*n - 2 + 3 + 17*n. Let g(z) = -22*z - 4. Let t(r) = 2*g(r) + 9*x(r). Let a(f) = -4*f**2 + 6*f + 6. What is -a(b) + 6*t(b)?
4*b**2
Let b(f) = f**2 + 1. Let s(l) = 4*l**2 - 11*l + 9. What is -6*b(v) + s(v)?
-2*v**2 - 11*v + 3
Let p(h) = 3*h**2 - 2. Let z(x) = 14*x**2 - x - 10. Determine 11*p(s) - 2*z(s).
5*s**2 + 2*s - 2
Let d(h) = 2*h**3 - 3*h**2 + 6*h. Suppose 4 = 7*v - 10. Suppose 3*o = 8*o + 15. Let m(x) = -8*x**3 + 2*x**3 + 5*x - 2*x**2 + 8*x**3. Calculate o*m(u) + v*d(u).
-2*u**3 - 3*u
Let x = -222 - -225. Let y(h) be the third derivative of -h**6/120 - h**4/12 - 2*h**2. Let b(r) = r. What is x*y(z) + 6*b(z)?
-3*z**3
Let m(u) = 28*u**2 - 7*u - 9. Let j(f) be the first derivative of -14*f**3/3 + 3*f**2/2 + 4*f + 102. Give 9*j(l) + 4*m(l).
-14*l**2 - l
Let s(v) = -71*v + 4. Let r(p) = 71*p - 3. Determine 3*r(j) + 2*s(j).
71*j - 1
Let t(i) = -i**3 - 3*i**2 - 3*i - 20. Let a(v) = 2*v**2 + 2*v + 19. Give 3*a(o) + 2*t(o).
-2*o**3 + 17
Let b = -13 + 9. Let j = 80 + -79. Let c(x) = x**2. Let u(s) = 5*s**2. Calculate b*c(g) + j*u(g).
g**2
Let p(k) = -13*k**3 - 13*k**2 - 2*k + 7. Let a(j) = -12*j**3 - 12*j**2 - 2*j + 5. Determine -5*a(h) + 4*p(h).
8*h**3 + 8*h**2 + 2*h + 3
Let t(v) = v**2 + 11*v + 16. Let k(z) be the first derivative of -3*z**2 + z - 13. Let j(d) = d - 1. Let y(x) = -4*j(x) - k(x). Determine -2*t(w) + 11*y(w).
-2*w**2 + 1
Let d(c) = -15*c**2 + c - 2. Let t(m) = m**2 + 2*m - 1. What is d(n) - t(n)?
-16*n**2 - n - 1
Let d(g) = 2*g**2 + 2*g + 4. Let s be 26/12 + (-42)/252. Let n(c) be the second derivative of 1/2*c**3 + 1/4*c**4 + 3*c**s - 2*c + 0. Give 7*d(y) - 5*n(y).
-y**2 - y - 2
Let d(o) = 4*o - 2. Let q be d(2). Let c(a) = -4*a**3 - 6*a**2 + 1. Let f be (-11)/(-22)*-14 + 8 + -6. Let v(n) = -4*n**3 - 5*n**2 + 1. Give f*c(h) + q*v(h).
-4*h**3 + 1
Let c(w) = -w**2 + 1. Let g(d) = 8*d**2 + 53*d + 33. Let h be g(-6). Let u(y) = -10*y**2 + 3. Determine h*c(a) - u(a).
7*a**2
Let y(r) = -r**2. Let t be (-2 - 0) + 1 + 4. Let n be 3*((-58)/(-6) - t). Suppose 7*k = 5*k - n. Let o(w) = -8*w**2 + 2*w. Calculate k*y(x) + o(x).
2*x**2 + 2*x
Let b(l) = l - 10. Let d be b(15). Let q(z) = -1 + 3*z - d - 2 - 1. Let v(i) = i - 4. Calculate 4*q(w) - 9*v(w).
3*w
Let j(x) = -53*x**3 + 7*x**2 - 7. Let u(q) = 26*q**3 - 3*q**2 + 3. Give -3*j(t) - 7*u(t).
-23*t**3
Let t(s) be the second derivative of -2*s**2 + 2/3*s**3 + 7*s + 0 - 1/4*s**5 - 1/3*s**4. Let n(x) = x**3 + x**2 - x + 1. Calculate -4*n(h) - t(h).
h**3
Let t be 0 - 7/((-21)/6). Let c(i) = 4 - 2 - t*i**2 - 3 - 6*i + i. Let n(f) = 29 + 0*f**2 + 6*f + 2*f**2 - 27. What is 4*c(x) + 3*n(x)?
-2*x**2 - 2*x + 2
Let f(w) = 6*w**3 - 6*w**2. Let d(a) = a**3 - a**2. Let u(v) = v**2 - 5*v - 3. Let b be u(-2). What is b*d(l) - 2*f(l)?
-l**3 + l**2
Let n(w) = -7*w**2 - 9. Let q(t) = -26*t**2 + 5*t**2 + 1 + 22*t**2. Calculate 2*n(d) + 18*q(d).
4*d**2
Let h(f) = 7*f**3 - 7*f**2 + 12*f + 17. Let v(d) = 6*d**3 - 7*d**2 + 11*d + 14. Calculate 4*h(o) - 5*v(o).
-2*o**3 + 7*o**2 - 7*o - 2
Let l(w) = w - 4. Let a be l(5). Let c(n) = -n - 1. Let r(o) = o - 1. Let p(z) = -z**3 + 3*z - 12. Let v(q) = p(q) - 6*r(q). Determine a*v(t) - 5*c(t).
-t**3 + 2*t - 1
Let k(l) be the third derivative of 1/60*l**5 + 0*l + 1/60*l**6 + 1/8*l**4 - 1/3*l**3 + 9*l**2 + 0. Let v(j) = 3*j**3 + 2*j**2 + 5*j - 3. Give 5*k(s) - 3*v(s).
s**3 - s**2 - 1
Let r(a) = -a**3 + 9*a**2 - 4*a - 5. Suppose 2*u + g - 14 = -11, 5 = -5*g. Let q(c) = c**3 - 4*c**2 + 2*c + 2. What is u*r(i) + 5*q(i)?
3*i**3 - 2*i**2 + 2*i
Let t(d) = -d**2 + 3*d - 2. Suppose -2*n - 2*p + 8 = 0, 6 = n + 5*p - 10. Suppose 0 = 3*x - 5 - 1. Let i(v) = 5 - v + x*v**2 - v**2 - 5. Give n*t(q) + 2*i(q).
q**2 + q - 2
Let r(j) = -j**3 - 9. Suppose -40*p + 41*p + 5 = 0. Let z(n) = n**3 + 8. Determine p*z(i) - 4*r(i).
-i**3 - 4
Let o(f) = -15*f**2 + 4*f - 4. Let w(q) be the second derivative of q**3/6 - q**2/2 + 8*q + 10. What is o(i) - 4*w(i)?
-15*i**2
Let a(d) be the second derivative of -1/3*d**4 + 32*d + 1/3*d**3 + 0 - 1/20*d**5 + 0*d**2. Let j(c) = -c**3 - c**2 + c. Give -a(l) + 3*j(l).
-2*l**3 + l**2 + l
Let z(s) = -7*s**2 - 6*s - 6. Let g(r) = r**2 + 1. Let c = 80 - 81. Determine c*z(m) - 5*g(m).
2*m**2 + 6*m + 1
Let b(z) = 4*z - 8. Let o(y) = -5*y + 9. Let w = 1815 + -1810. What is w*o(f) + 6*b(f)?
-f - 3
Let j(r) = -50*r**2 + 8. Let u(p) be the second derivative of 11*p**4/4 - 5*p**2/2 + 389*p. Calculate 5*j(x) + 8*u(x).
14*x**2
Let q be -2*-11*1 - 1. Suppose -419 = 74*a - 49. Let c(r) = 9*r - 21. Let j(y) = 2*y - 5. Determine a*c(s) + q*j(s).
-3*s
Let i = -550 + 547. Let u(b) = -4*b**3 + 2*b**2. Let w(r) = -5*r**3 + 2*r**2 - r. Calculate i*u(x) + 2*w(x).
2*x**3 - 2*x**2 - 2*x
Let z(c) = -13139*c**2 - 4 - 5 + 6561*c**2 + 6569*c**2 - 8*c**3. Let p(j) = j**3 - 3*j. Let u be p(3). Let s(b) = -b**3 - b**2 - 1. Determine u*s(x) - 2*z(x).
-2*x**3
Let o(u) = -3*u**3 - 13*u - 4*u**3 + 5*u + 8*u - 13*u**2. Let h(t) = -t**3 - 2*t**2. What is -39*h(i) + 6*o(i)?
-3*i**3
Let p(n) = 5*n - 1. Let u(x) be the first derivative of -21*x**2/2 + 4*x + 63. Calculate -9*p(i) - 2*u(i).
-3*i + 1
Let j(l) be the third derivative of l**3/6 + 301*l**2. Let h(t) = -t - 4*t + 4*t. What is h(i) + j(i)?
-i + 1
Let x(k) = -20*k**3 - k**2 - 5*k - 18. Let o(w) = 9*w**3 + w**2 + 2*w + 8. Let h(t) = 5*o(t) + 2*x(t). Let a(i) = -9*i**3 - 5*i**2 - 9. Give -3*a(r) - 5*h(r).
2*r**3 + 7
Suppose 11*l - 3*l + 40 = 0. Let o(v) = -21*v + 36. Let k(u) = -3*u + 5. Let b(y) = 15*k(y) - 2*o(y). Let n(r) = -7*r + 7. Determine l*b(x) + 2*n(x).
x - 1
Let c(q) = 7*q + 1. Let m(p) = -1 + 2 - 4 - 3 + 7*p + 7. Calculate -6*c(s) + 5*m(s).
-7*s - 1
Let j(q) = 8*q + 123. Let a(g) = 22*g + 368. Give -3*a(b) + 8*j(b).
-2*b - 120
Let a(i) = -21*i - 18. Let v(l) = 6*l + 5. Let k(s) = -5*a(s) - 18*v(s). Suppose 5*f + 5 = 0, 7 + 7 = -5*g - 4*f. Let z(t) = 12*t. Give g*z(c) - 9*k(c).
3*c
Let l = 70 + -63. Let t(j) = -6*j**3 + 7*j. Let u(y) = -2*y**3 + 2*y. Give l*u(o) - 2*t(o).
-2*o**3
Let n(s) = 3*s**2 + 2*s + 5. Let i be (24/4)/(1/((-4)/6)). Let h(t) = 4*t**2 + 2*t + 6. Calculate i*h(f) + 5*n(f).
-f**2 + 2*f + 1
Let g(k) be the second derivative of 119*k**3/6 + 49*k**2/2 - 150*k. Let p(n) = 5*n + 2. Give -2*g(u) + 49*p(u).
7*u
Let d(l) be the first derivative of l**3 + l**2 + 6*l - 104. Let j(p) = -1. What is d(q) + 6*j(q)?
3*q**2 + 2*q
Let l(q) = -q - 1. Let p(o) = o + 37. Determine -6*l(x) - 2*p(x).
4*x - 68
Let c(b) be the second derivative of -b**4 - 3*b**2/2 + 330*b. Let a(d) = 11*d**2 + 2. Determine -3*a(z) - 2*c(z).
-9*z**2
Let u(v) = -3*v**3 - v**2 - 36*v + 17. Let d(t) = 2*t**3 + t**2 + 24*t - 12. Calculate 7*d(g) + 5*u(g).
-g**3 + 2*g**2 - 12*g + 1
Let b(j) = -j + 20. Let k be b(19). Let g(z) = z. Let f(p) = -p + 3. Determine k*f(a) - 2*g(a).
-3*a + 3
Let k(i) = 3*i + 5. Let y(t) = -15*t - 24. Suppose -274 = 18*u + 158 | {
"pile_set_name": "DM Mathematics"
} |
nder when 404191 is divided by 14.
11
What is the remainder when 38930 is divided by 9587?
582
What is the remainder when 729 is divided by 584?
145
Calculate the remainder when 34523 is divided by 8630.
3
Calculate the remainder when 66002 is divided by 215.
212
Calculate the remainder when 333 is divided by 134.
65
Calculate the remainder when 8877 is divided by 11.
0
Calculate the remainder when 17024 is divided by 1775.
1049
Calculate the remainder when 2859 is divided by 229.
111
Calculate the remainder when 30698 is divided by 267.
260
Calculate the remainder when 4087 is divided by 371.
6
Calculate the remainder when 73198 is divided by 2361.
7
What is the remainder when 29624 is divided by 13?
10
Calculate the remainder when 917957 is divided by 516.
509
Calculate the remainder when 19906 is divided by 2841.
19
Calculate the remainder when 13034 is divided by 1850.
84
What is the remainder when 1827 is divided by 144?
99
What is the remainder when 123423 is divided by 3981?
12
What is the remainder when 11620 is divided by 6?
4
Calculate the remainder when 33695 is divided by 70.
25
What is the remainder when 530777 is divided by 71?
52
What is the remainder when 2916766 is divided by 48?
46
What is the remainder when 10526 is divided by 90?
86
Calculate the remainder when 31628 is divided by 18.
2
Calculate the remainder when 998047 is divided by 199608.
7
Calculate the remainder when 2397779 is divided by 77.
76
What is the remainder when 30011 is divided by 1306?
1279
Calculate the remainder when 1034974 is divided by 98.
94
Calculate the remainder when 11877 is divided by 11859.
18
Calculate the remainder when 199582 is divided by 5.
2
Calculate the remainder when 30733 is divided by 63.
52
Calculate the remainder when 6022 is divided by 27.
1
Calculate the remainder when 41176 is divided by 39.
31
What is the remainder when 8240 is divided by 1647?
5
Calculate the remainder when 29790 is divided by 4962.
18
What is the remainder when 108350 is divided by 148?
14
What is the remainder when 2501 is divided by 626?
623
What is the remainder when 33018 is divided by 459?
429
What is the remainder when 10199 is divided by 3368?
95
What is the remainder when 6689 is divided by 1119?
1094
What is the remainder when 61462 is divided by 153?
109
Calculate the remainder when 169538 is divided by 31.
30
Calculate the remainder when 2193 is divided by 1954.
239
What is the remainder when 4738 is divided by 56?
34
Calculate the remainder when 10707 is divided by 23.
12
Calculate the remainder when 857073 is divided by 12.
9
Calculate the remainder when 28627 is divided by 34.
33
What is the remainder when 4574 is divided by 22?
20
Calculate the remainder when 6103747 is divided by 17.
16
Calculate the remainder when 2668 is divided by 816.
220
What is the remainder when 1066876 is divided by 110?
96
Calculate the remainder when 2301 is divided by 752.
45
What is the remainder when 57096 is divided by 48?
24
What is the remainder when 858 is divided by 330?
198
What is the remainder when 1358725 is divided by 561?
544
Calculate the remainder when 333474 is divided by 583.
581
What is the remainder when 10115 is divided by 122?
111
What is the remainder when 55479 is divided by 1588?
1487
What is the remainder when 3693 is divided by 231?
228
What is the remainder when 394 is divided by 98?
2
Calculate the remainder when 8743 is divided by 57.
22
Calculate the remainder when 186419 is divided by 15.
14
Calculate the remainder when 24836 is divided by 403.
253
What is the remainder when 964 is divided by 43?
18
Calculate the remainder when 67254 is divided by 8.
6
What is the remainder when 4593 is divided by 78?
69
What is the remainder when 9177 is divided by 38?
19
Calculate the remainder when 5331 is divided by 2663.
5
Calculate the remainder when 212736 is divided by 954.
948
Calculate the remainder when 5091 is divided by 8.
3
Calculate the remainder when 4079 is divided by 215.
209
Calculate the remainder when 21341 is divided by 3500.
341
What is the remainder when 434167 is divided by 28?
27
What is the remainder when 784914 is divided by 21?
18
Calculate the remainder when 40785 is divided by 13586.
27
Calculate the remainder when 89 is divided by 85.
4
What is the remainder when 71372 is divided by 281?
279
What is the remainder when 15653 is divided by 110?
33
What is the remainder when 283774 is divided by 60?
34
Calculate the remainder when 1982 is divided by 619.
125
What is the remainder when 5407 is divided by 258?
247
What is the remainder when 2883 is divided by 78?
75
Calculate the remainder when 68859 is divided by 1967.
14
What is the remainder when 50871 is divided by 10?
1
Calculate the remainder when 41783 is divided by 5216.
55
Calculate the remainder when 252 is divided by 8.
4
Calculate the remainder when 7080 is divided by 2143.
651
Calculate the remainder when 71755 is divided by 54.
43
Calculate the remainder when 42045 is divided by 154.
3
What is the remainder when 32461 is divided by 10806?
43
Calculate the remainder when 5983 is divided by 240.
223
Calculate the remainder when 10686 is divided by 67.
33
Calculate the remainder when 287224 is divided by 304.
248
What is the remainder when 1794 is divided by 661?
472
What is the remainder when 6851 is divided by 3308?
235
Calculate the remainder when 7299 is divided by 1454.
29
What is the remainder when 7951 is divided by 18?
13
What is the remainder when 63410 is divided by 2640?
50
What is the remainder when 21434 is divided by 2902?
1120
What is the remainder when 17077 is divided by 4264?
21
Calculate the remainder when 31443 is divided by 238.
27
Calculate the remainder when 50799 is divided by 141.
39
What is the remainder when 1032155 is divided by 344047?
14
What is the remainder when 36594 is divided by 385?
19
What is the remainder when 284123 is divided by 17757?
11
What is the remainder when 33530 is divided by 35?
0
Calculate the remainder when 2274 is divided by 249.
33
Calculate the remainder when 77931 is divided by 1771.
7
Calculate the remainder when 5785 is divided by 1649.
838
What is the remainder when 26423 is divided by 970?
233
Calculate the remainder when 54383 is divided by 227.
130
What is the remainder when 8409 is divided by 80?
9
Calculate the remainder when 2993 is divided by 51.
35
Calculate the remainder when 87518 is divided by 173.
153
Calculate the remainder when 17662 is divided by 442.
424
Calculate the remainder when 1156 is divided by 411.
334
Calculate the remainder when 5873 is divided by 53.
43
Calculate the remainder when 11359 is divided by 2242.
149
Calculate the remainder when 65154 is divided by 587.
584
Calculate the remainder when 64327 is divided by 5358.
31
What is the remainder when 810545 is divided by 29?
24
What is the remainder when 19822 is divided by 1238?
14
What is the remainder when 13416 is divided by 671?
667
What is the remainder when 7570 is divided by 19?
8
What is the remainder when 150171 is divided by 25026?
15
Calculate the remainder when 38108 is divided by 37.
35
Calculate the remainder when 1629 is divided by 1623.
6
Calculate the remainder when 388 is divided by 47.
12
What is the remainder when 4504 is divided by 144?
40
What is the remainder when 495 is divided by 164?
3
Calculate the remainder when 114049 is divided by 36.
1
Calculate the remainder when 3924 is divided by 438.
420
Calculate the remainder when 1632 is divided by 111.
78
Calculate the remainder when 33546 is divided by 8293.
374
What is the remainder when 347732 is divided by 347728?
4
Calculate the remainder when 1124773 is divided by 292.
281
What is the remainder when 7812 is divided by 141?
57
Calculate the remainder when 604835 is divided by 43.
40
What is the remainder when 1793 is divided by 103?
42
What is the remainder when 329348 is divided by 2573?
4
What is the remainder when 138899 is divided by 150?
149
Calculate the remainder when 117811 is divided by 867.
766
Calculate the remainder when 27857 is divided by 5571.
2
What is the remainder when 93241 is divided by 85?
81
Calculate the remainder when 49072 is divided by 7010.
2
Calculate the remainder when 22466 is divided by 177.
164
What is the remainde | {
"pile_set_name": "DM Mathematics"
} |
prime?
True
Let g(a) = -a**3 + 7*a**2 + 5. Let p be g(7). Suppose n - p = 6*n. Is (n - 1) + 38 + 1 a prime number?
True
Is (-3)/(-2) - 18700/(-40) composite?
True
Suppose a - 479 = -t, -5*a - 2*t - t + 2395 = 0. Is a a prime number?
True
Suppose 4*c - 1414 = 5*c. Is c/(-8) + 1/4 composite?
True
Let q be (56/10)/((-1)/(-5)). Suppose y - 27 = 4*m - 6, y + 3*m - q = 0. Is y prime?
False
Suppose -3*n + 0*n = 0. Suppose n = -f - 5, -3*i + 0*f + f = -236. Is i prime?
False
Let f = -179 + 472. Is f prime?
True
Suppose 10*r - 380 - 2130 = 0. Is r prime?
True
Let g be (6/(-8))/(2/(-336)). Suppose -g = -m + 143. Is m composite?
False
Let l = -154 - -249. Suppose -r = 2*m + 2*m - 20, m = 3*r - 8. Suppose -r*i + l = i. Is i composite?
False
Let c be 9*(2 + (-20)/12). Suppose 0 = -5*p - 4*t + 234, 5*p + 123 - 350 = c*t. Is p a prime number?
False
Suppose 0 = -4*z + 3*z + 41. Let x = -26 + z. Is x a prime number?
False
Let s(j) = j**2 + 2*j. Let m be s(7). Suppose -3*u + 354 - m = 0. Suppose -21 = 4*g - u. Is g prime?
True
Let c(b) = 13*b - 7. Is c(2) prime?
True
Let j(b) = -b**2 + 59. Let a be 2/(-5) - (-6)/15. Is j(a) a composite number?
False
Is (-56601)/(-114) - (6/4)/(-3) a prime number?
False
Suppose -27 = -h - 3*f, -4*f - 100 = -3*h + 20. Suppose -80 = -2*a + h. Is a composite?
True
Is ((2 - 3) + 3 - 9)*-53 a composite number?
True
Let f = 3361 - 2300. Is f prime?
True
Let o = -2287 - -4714. Is o a composite number?
True
Let s be 1031 - (5 - 3)/2. Let l = s - 561. Is l prime?
False
Let b = -182 + 125. Let z = -26 - b. Is z a prime number?
True
Suppose 18 = j + z, 0 = -j - 3*z + z + 21. Is j a composite number?
True
Suppose -2*y = -5*m + 165 + 256, m = -y + 80. Is m a prime number?
True
Let a(f) = 120*f**3 + 4*f**2 - 4*f + 1. Is a(3) composite?
True
Let f be 8 - (-1 + 1 - -3). Suppose -f*h + 83 = 4*v, 2*v - 5*h + 61 = 5*v. Is v composite?
True
Suppose 116 = -3*f - 124. Let g = 138 + f. Is g a composite number?
True
Suppose -3*m = -4*p + 5902, 0 = 2*m - 3 - 1. Is p prime?
False
Let b = -1 - -4. Let u = b - 2. Is (-5)/(u/(2 - 9)) a prime number?
False
Let c(v) = v. Let x be c(3). Let f be (1/(-3))/((-6)/828). Suppose 69 = x*a - 3*s - 0*s, s = 2*a - f. Is a prime?
True
Let d = 0 - 2. Let b(z) = 4*z + 6. Let v be b(-3). Is (4/d)/(v/381) prime?
True
Is 892 + (-1)/1*-3 a prime number?
False
Suppose -p + 283 = -672. Is p composite?
True
Let u be (3 - 9/6)*14. Let l = -15 + u. Is l a prime number?
False
Suppose 5*x - x + 12 = 2*w, -2*x = w - 2. Is (29*x)/((-5)/10) prime?
False
Suppose 0 = -2*d + 14 + 4. Let v(u) = u**3 - 7*u**2 - 10*u - 3. Is v(d) a prime number?
False
Suppose -6 = 5*v - 3*z, 1 = -2*v + 2*z - 3. Suppose -2*k - 3*k + 215 = v. Is k prime?
True
Suppose -4*y = -4*l - 48, -l = -2*y - 6*l - 4. Is y/(-28) - (-485)/7 a composite number?
True
Let s(h) = 19*h**2 + 4*h + 9. Is s(10) prime?
True
Let o(p) = -2*p**2 + 115. Is o(0) a prime number?
False
Suppose 0 = 3*c - 6*c + 6. Let h be c/(-4) + 51/6. Let f = h + -2. Is f a composite number?
True
Suppose -h + 4*q = -227, 5*q + 24 = 4. Is h a prime number?
True
Let j = 271 + -408. Let z = j + 264. Is z prime?
True
Suppose -4*d - 4*r - 6 = 2, -4*d + 17 = -r. Suppose 0*s - d*s - 6 = 0. Is s - (-2)/((-6)/(-69)) prime?
False
Suppose 385 = 3*v - a, -3*a - 515 = -4*v - 0*a. Suppose 3*n + n = v. Suppose n = 5*h - 353. Is h a composite number?
True
Let h(z) = 201*z**2 - 5*z + 5. Is h(3) composite?
True
Let y = -1 + 15. Let g be y*(-1 + 5/2). Suppose -2*i = -i - g. Is i a prime number?
False
Suppose 0 = -4*k + 219 + 257. Is k a prime number?
False
Suppose -4*t - 3*c + 155 = 0, 3*t + 12 - 130 = -4*c. Is t a prime number?
False
Suppose 0 = -2*s + 469 - 17. Is s composite?
True
Suppose -5*w = 4*b + 313 - 2198, -4*w + 1508 = 2*b. Is w a composite number?
True
Let s(d) = -d + 9. Let i be s(7). Let l be i/(-3) + 88/6. Suppose 56 = 2*j - l. Is j a prime number?
False
Let g be (-69)/(-12) + (-1)/(-4). Is (-1)/(((-7)/g)/7) a composite number?
True
Let x = -4 + 7. Suppose -x*k + 528 = 3*w, 2*k + 176 = w - 3*k. Suppose -4*v = -708 + w. Is v composite?
True
Suppose -7*s = 3*s - 3390. Is s a prime number?
False
Suppose 9*j - 5*j - 5588 = 0. Is j a composite number?
True
Suppose 2*k - 3 = k. Let w = 10 + 4. Suppose 15 = -5*n + f + 43, -2*f - w = -k*n. Is n composite?
True
Suppose 0 = 4*u + l - 14, -5*l - 34 + 4 = -5*u. Suppose -324 = -4*h + 4*z, u*z - 38 - 33 = -h. Is h prime?
True
Suppose -p = -4*q - 9, 0 = 2*q + 3*q + 4*p + 27. Let w(n) be the third derivative of n**5/20 - n**4/24 + 2*n**3/3 - 2*n**2. Is w(q) a composite number?
True
Let y be 26*2 + (9 - 7). Suppose y + 23 = n. Is n composite?
True
Suppose -83 = -w + 7. Suppose -w = -0*m - m. Suppose 2*r - 2*a + m = 4*r, -3*r = 5*a - 133. Is r composite?
True
Suppose 7034 = 11*q + 93. Is q composite?
False
Let f = -9782 - -14263. Is f composite?
False
Suppose -o = 2*s - 48, 30 + 46 = 4*s - 3*o. Is s composite?
True
Let a(y) = y**3 + 5*y**2 + 4*y + 1. Let n be a(-4). Let q = 6 - n. Suppose -2*u + 5*d + 47 = 0, -4*d + q*d = u - 28. Is u composite?
False
Let y be 1*(-3)/(6/(-4)). Suppose -3*a - 4*b = -589, 2*a - a - y*b = 183. Is a composite?
False
Let h(k) = 33*k. Let y be 2/(-1)*1 + 6. Let w be h(y). Is w*1 - (0 + 1) a composite number?
False
Suppose -1884 = -19*s + 17*s. Suppose -4*g = 4*i - 992, 183 - s = -3*i + 2*g. Is i a composite number?
False
Let b be 2 + (-1 + 1 - -4). Let l(m) = m**2 + 6*m - 3. Is l(b) prime?
False
Let k(h) be the first derivative of h**4/4 - h**3/3 + h**2/2 + 219*h - 4. Is k(0) composite?
True
Suppose 13*y = 11*y + 28. Is y a prime number?
False
Let l(r) = r**3 - r**2 - 2*r - 2. Is l(6) a composite number?
True
Suppose 0 = 2*k + r - 15, -2*k + 5*r = 3*k - 15. Suppose -2*g = u - 68, k = -3*u + 2*g + 178. Suppose y = -3*y + u. Is y prime?
False
Suppose -3*w + 87 = -2*w. Is w composite?
True
Suppose -5*t + 30 = 10, 2*t + 494 = 2*o. Is o a prime number?
True
Suppose -263 = -16*l + 15*l. Is l a composite number?
False
Let i be ((-1)/(2/(-12)))/(-1). Let c(q) = -q**3 - 5*q**2 + 4*q + 1. Is c(i) composite?
False
Suppose 2*o - 5*o = -66. Suppose l + l = o. Is l a prime number?
True
Let n = 232 + 21. Is n composite?
True
Let b(n) = 19*n - 9. Let h be b(6). Let y = h - 48. Is y composite?
True
Suppose p - 12 = -2*p. Suppose 3*b - p*b + 79 = 4*h, -2*b = h - 165. Is b prime?
True
Let k be (-2)/(-1)*(-7)/(-2). Let w(v) = 59*v - 6. Is w(k) composite?
True
Suppose 3*p + 2 - 26 = 0. Suppose -6 = -5*k + 4. Suppose -p = k*c - 0*c, -1 = s + 5*c. Is s composite?
False
Suppose -4*a = -3*a. Suppose a = -4*x + x + 159. Is x composite?
False
Let y(w) be the first derivative of -2*w**2 - w - 2. Let v be y(-6). Suppose v = -z + 2*z. Is z prime?
True
Let w be 55/(-2)*8/(-10). Suppose 18 = 5*p + 4*m, 0*p + 2*m + 2 = 3*p. Suppose -3*k = -p*k - w. Is k a prime number?
False
Let w = -237 - -872. Is w composite?
True
Is 3/(18/1893)*2 a composite number?
False
Let y = 8 - 6. Let u be (y*3)/(4/2). Is 4 - u - (-14 + 2) prime?
True
Let h = -271 + 994. Suppose 3*j + 279 - h = 0. Suppose -z = -6*z, 2*z - j = -4*b. Is b a composite number?
False
Suppose -4*q = 5*k - 409 - 356, -4*q - 129 = -k. Is k prime?
True
Let n(d) = d + 9. Let r be n(-9). Suppose -a = -5*a - 5*v + 222, r = 2*v + 4. Is a composite?
True
Let r be (0 + 78)/((-21)/28). Let a = r + 271. Is a composite?
False
Suppose 0 = 2*t - 41 - 35. Is t a composite number?
True
Let z = -4 + 6. Suppose z*y = -y + 111. Is y prime?
True
Suppose 13*l - 39964 = -4331. Is l a composite number?
False
Suppose -3*a - 5*q = -13690, 5*a = 7*a - 2*q - 9100. Is a prime?
False
Suppose -16 = -4*t + 3*f + 3, 2*t - 4 = -4*f. Let y(s) = 5*s**2 + 3*s - 5. Is y(t) composite?
True
Suppose c = -4*z - 67, -2*z = -c + 3*c + 122. Let q = c - -102. Is q prime?
True
Suppose 4*y - 1183 = -p, 3*p - 2*y + 1079 = 4586. Is p a composite number?
False
Let t be (2/(-3))/(6/(-9)). Let k = 1 + t. Suppose a - k*a + 178 = 3*q, -2*q + 10 = 0. Is a a prime number?
True
Suppose -10*r + 12*r + 2 = 0. Let w(f) = 189*f**2 + 3*f + 1. Is w(r) a prime number?
False
Suppose -2*h - h = -267. Is h composite?
False
Let o(s) = 50*s - 4. Let c be o(9). Suppose -l = 2*l, -2*a = l - c. Is a a prime number?
True
Suppose 4*y = -y. Let t = y - 0. Suppose w + w - 74 = t. Is w a prime numb | {
"pile_set_name": "DM Mathematics"
} |
20
Simplify ((sqrt(3) + sqrt(3)*-4)*6 - sqrt(24)/sqrt(128))**2 + 1.
16003/16
Simplify -4*sqrt(304)*1 + ((sqrt(38)*2)/sqrt(2))**2 + sqrt(19)*1 + -5.
-15*sqrt(19) + 71
Simplify (sqrt(1620) + (2*sqrt(1620) + sqrt(1620) - sqrt(1620)) + sqrt(80)/(-1*sqrt(4)))/(sqrt(10)*-2*-1 + -1*sqrt(10)*-6).
13*sqrt(2)/4
Simplify 3*((sqrt(63)/(sqrt(9) - sqrt(81)))**2 + -4*(sqrt(7) + 0) + 3 + -4).
-12*sqrt(7) + 9/4
Simplify ((1*sqrt(88)*-1 - sqrt(88)) + -6*-2*sqrt(88))/((sqrt(128) - ((sqrt(128) - -2*sqrt(128)) + sqrt(128)))*-3).
5*sqrt(11)/18
Simplify 2 + 1 + (2 + sqrt(13))**2 + (sqrt(325)*4 - sqrt(325))**2.
4*sqrt(13) + 2945
Simplify (2*sqrt(4536) - sqrt(4536))/(sqrt(128)*-3)*-2.
3*sqrt(7)/2
Simplify (((-1*sqrt(405) - sqrt(405)) + -2 + -2)*-2)**2.
576*sqrt(5) + 6544
Simplify ((-2 + sqrt(700) + 2*sqrt(700) + sqrt(700))**2 - (0 + sqrt(112)))*1.
-164*sqrt(7) + 11204
Simplify -2 + -1 + sqrt(272) + (6*(-1*sqrt(17) - sqrt(17)) - sqrt(187)/(sqrt(22)/sqrt(2)))**2.
4*sqrt(17) + 2870
Simplify (((sqrt(117) + sqrt(117) + -5*sqrt(117)*1)/sqrt(3))/(sqrt(15)/(2*sqrt(5)) + -1*sqrt(12)))**2.
52
Simplify (-2*sqrt(576))/(sqrt(2)*1*6) + -6*(5 + (sqrt(4)/(-2*sqrt(2)))**2).
-33 - 4*sqrt(2)
Simplify (-4*sqrt(10)/sqrt(5))**2 + -5*(sqrt(2) + 1)**2 + -1 + (sqrt(32)*-5 - sqrt(32))**2.
-10*sqrt(2) + 1168
Simplify (3*(sqrt(13) - (sqrt(208) + 1*sqrt(208) + sqrt(208))) - (4 + sqrt(468) + (sqrt(468) - 2*sqrt(468)) + sqrt(468)))**2.
312*sqrt(13) + 19789
Simplify ((2 + sqrt(931) + 2)**2 + ((2 + sqrt(931))*5)**2)*-2.
-48644 - 1512*sqrt(19)
Simplify 1 + (1*sqrt(108))/(-3*sqrt(729)).
-2*sqrt(3)/27 + 1
Simplify 4 + (3 + (sqrt(1008)/sqrt(9) - 4*(sqrt(7) + 0)))**2.
13
Simplify 2 + sqrt(931) - (sqrt(1900) + -1) - ((sqrt(684) - (sqrt(684)*4*1)**2) + sqrt(684)).
-15*sqrt(19) + 10947
Simplify 1 + (4*6*(2 + sqrt(1088) + 0))**2.
18432*sqrt(17) + 628993
Simplify (5*(sqrt(84) - (sqrt(84) + (sqrt(84)*2 - sqrt(84)))))/sqrt(12) + sqrt(49)/(1*sqrt(567)).
-44*sqrt(7)/9
Simplify (((2 + sqrt(931) + 1 + sqrt(931) - sqrt(931)) + (sqrt(931) - (-4 + 1*sqrt(931))))*-2)**2*1.
392*sqrt(19) + 3920
Simplify (5*-3*(1 + (sqrt(99)*-2 - sqrt(99)))*-3)**2.
-36450*sqrt(11) + 1806300
Simplify 3 + 1*(sqrt(7) - (3 + sqrt(28)/sqrt(4) + sqrt(7))) + ((-4 + sqrt(14)/sqrt(2))*-4)**2 + -3.
-129*sqrt(7) + 365
Simplify ((2*sqrt(70)*4 - (sqrt(70) + 4*sqrt(70)*2))/(5*sqrt(80)/(sqrt(8)*-1)) + 4)**2.
8*sqrt(7)/5 + 407/25
Simplify ((2 + sqrt(11) + 1 + sqrt(11) + sqrt(11) + sqrt(11) - (4 + sqrt(22)/sqrt(2)))*-4 - (sqrt(440)/sqrt(72))/(sqrt(5) + (sqrt(45) - sqrt(180)/sqrt(4))))**2.
-296*sqrt(11)/3 + 15203/9
Simplify (((sqrt(26) + -1*sqrt(26))*3)/sqrt(2) + (sqrt(65) - ((sqrt(65) - 3*-3*sqrt(65)) + sqrt(65) - sqrt(65)))/sqrt(5))**2.
1053
Simplify 1*((2*sqrt(154) + sqrt(154) - sqrt(154))/sqrt(11) - sqrt(14))/(sqrt(2) + (sqrt(162)*2 - sqrt(162))).
sqrt(7)/10
Simplify (((sqrt(21) - 2*-2*sqrt(21))*3)/(sqrt(63) - (sqrt(378)*-2)/sqrt(6))*-1)**2.
25/3
Simplify (sqrt(204)/(sqrt(484) - -1*sqrt(484)))/(5*(sqrt(3)*1 + sqrt(3) + sqrt(3))*4).
sqrt(17)/1320
Simplify (1*(sqrt(468) + 4*sqrt(468)))/((sqrt(72)*4 + sqrt(72))/sqrt(8)).
2*sqrt(13)
Simplify -3*(sqrt(240)/sqrt(4) + sqrt(60))/sqrt(5) - (sqrt(1452)*2 - sqrt(72)/(sqrt(6) - sqrt(6)*-2))**2.
-16900/3 - 12*sqrt(3)
Simplify 4*(-5*(0 + (sqrt(33)/sqrt(3))**2) + ((-2*sqrt(11) + sqrt(11))**2 + -1 + sqrt(11) - ((sqrt(44)/sqrt(2))/sqrt(2))**2)) + -5.
-229 + 4*sqrt(11)
Simplify sqrt(91)/(sqrt(7) + 2*sqrt(175)) + (sqrt(1300)*-2 + -5)**2.
2201*sqrt(13)/11 + 5225
Simplify (-1 + (sqrt(2) - sqrt(2)*2) + 4 + sqrt(162) + 4 + 1 + sqrt(162))**2 + -4.
272*sqrt(2) + 638
Simplify -4 + 5 + (sqrt(8) - sqrt(40)/(-1*sqrt(5)))/(sqrt(24)/sqrt(6)*2).
1 + sqrt(2)
Simplify 5 + 0 + sqrt(19) + -1 - (6*(sqrt(76) + 2 + sqrt(76)))**2.
-11084 - 575*sqrt(19)
Simplify (3*((sqrt(2754) - 5*sqrt(2754)) + sqrt(2754)) - sqrt(2754))/((-3*sqrt(200) + sqrt(200))*4).
9*sqrt(17)/8
Simplify (sqrt(1053) + 1 + sqrt(65)/sqrt(5)*-6 + 2*(sqrt(13) - (sqrt(91)/sqrt(7) + -4)))**2.
54*sqrt(13) + 198
Simplify -2*(sqrt(612)*2*-2 - (sqrt(612) + 1 + 4))*4.
40 + 240*sqrt(17)
Simplify (-1 + sqrt(432) + -1 + 2 + -1 + sqrt(108))**2*-4.
-3892 + 144*sqrt(3)
Simplify (sqrt(3025) + 5*sqrt(3025)*-5)/((sqrt(2880)*2)/sqrt(4)).
-11*sqrt(5)
Simplify -5 + (sqrt(72)*-2*-2)/(sqrt(12)/(sqrt(2)*2)) + -2.
-7 + 16*sqrt(3)
Simplify (sqrt(85)/sqrt(180))**2 + 2 + (sqrt(187)/(sqrt(22)/sqrt(2)))**2.
701/36
Simplify ((-4*sqrt(187)*3)/(sqrt(11) - (1*sqrt(132) + sqrt(132))/sqrt(12)))**2.
2448
Simplify 2*((2*sqrt(198) + sqrt(198))/sqrt(2) - -1*(sqrt(1584) + sqrt(1584) + 0))**2.
23958
Simplify (0 + -3*(sqrt(300) + 2) + 2*(-1 + sqrt(300)) + (sqrt(300) - (sqrt(300) + sqrt(300) + 0 + sqrt(300) + 4)))**2.
720*sqrt(3) + 2844
Simplify (sqrt(55) - -2*sqrt(6655))/((sqrt(165)/sqrt(3))/sqrt(5)).
23*sqrt(5)
Simplify (-3*((2*sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102) - sqrt(102)) + sqrt(102))/sqrt(6)*6 - (-5*sqrt(153)*2 + sqrt(153) + 4).
-21*sqrt(17) - 4
Simplify (-4*-2*(sqrt(3) + 0) - (2*sqrt(3) + -4 + -3))**2.
84*sqrt(3) + 157
Simplify (4*(1 + sqrt(171) + -1 - sqrt(171)) + (-4*-1*sqrt(171) - (sqrt(171) + -1)*-6))**2.
-360*sqrt(19) + 17136
Simplify -5*(-4 + sqrt(78)/sqrt(216))**2.
-2945/36 + 20*sqrt(13)/3
Simplify (sqrt(1800) - ((1 + (sqrt(1800) - (0 + sqrt(1800))) - sqrt(1800)) + sqrt(1800)) - (-2 + sqrt(288) - 2*sqrt(2592)))**2.
180*sqrt(2) + 16201
Simplify ((sqrt(784) - sqrt(784)*1 - 1*sqrt(144))/(sqrt(40)/(sqrt(605)*2)))**2.
8712
Simplify (sqrt(132) - -3*1*sqrt(132))/sqrt(3072).
sqrt(11)/4
Simplify -6*((sqrt(2268) + 2)**2 + sqrt(63))*-4.
1800*sqrt(7) + 54528
Simplify ((sqrt(108) - (sqrt(108) + sqrt(108) + 0 - sqrt(108)))*1 - (sqrt(3) - (sqrt(3) + 0 + 2*sqrt(3)))*-2)**2.
48
Simplify (-2*(sqrt(343) + 0 + 5 - sqrt(343))*-6)**2*-2.
-7200
Simplify -6*((sqrt(500) - (-1 + sqrt(500)))**2*-4 - (sqrt(500) + 3*(3*sqrt(500))**2)) + 4.
60*sqrt(5) + 81028
Simplify 3 + (sqrt(539)*-2 + -1 - sqrt(539) - (3 + sqrt(539)*-2))**2 + 2.
56*sqrt(11) + 560
Simplify ((-6*(sqrt(242) + -2) + -5)**2 + 5)*-1.
-8766 + 924*sqrt(2)
Simplify -4*(((sqrt(154)*2*-2)/sqrt(11))/(sqrt(49)/(sqrt(35)/(sqrt(10)/sqrt(2) + sqrt(5)))))**2.
-32
Simplify (1*sqrt(637)*-4 + sqrt(572)/(sqrt(66)/sqrt(6)))**2.
8788
Simplify 4 + (-2*2*sqrt(132)/(sqrt(12) - (sqrt(12) - sqrt(108)))*-5)**2.
4436/9
Simplify (sqrt(13) + (-1*sqrt(637) - sqrt(637)) - (1 + sqrt(13) + sqrt(52))) + sqrt(52)/sqrt(196) + sqrt(13) + (3*sqrt(52) + sqrt(52))/sqrt(4).
-76*sqrt(13)/7 - 1
Simplify (sqrt(272) + (sqrt(272) - (-4 + sqrt(272))))*-6 + (-2 + (sqrt(17)*-2)**2)*5.
-24*sqrt(17) + 306
Simplify ((sqrt(2) - (sqrt(2)*-2 + -4))*-6)**2 + ((sqrt(60)/(2*sqrt(6)) - sqrt(10)) + sqrt(10))/sqrt(5).
1729*sqrt(2)/2 + 1224
Simplify -2*2*sqrt(76)*-1*-2.
-16*sqrt(19)
Simplify (-4 + sqrt(1377) + 1)**2 + sqrt(1377) + -3 + -3 + 0.
-45*sqrt(17) + 1380
Simplify 0 + (sqrt(104)*3*-4)/sqrt(2) + 2.
-24*sqrt(13) + 2
Simplify (-3*(2 + -1*(sqrt(200) - (sqrt(200) + -1)) + -2))**2.
9
Simplify -4 + -4*(sqrt(187) + -2*sqrt(187)*1 + sqrt(187))/sqrt(11)*6.
-4
Simplify ((4*(sqrt(18) - (sqrt(18) + 1*sqrt(18) + sqrt(18))))/(sqrt(54) - sqrt(1350)))**2 + 5.
19/3
Simplify -3*(sqrt(304) + (sqrt(304) - (5*(sqrt(304) + 0))**2) + (sqrt(304) + sqrt(304) + -5*(sqrt(304) + -1*sqrt(304) + sqrt(304)) - sqrt(304))).
24*sqrt(19) + 22800
Simplify (2 + 2 + sqrt(55)/sqrt(5)*1 + (sqrt(11) - (2*sqrt(396))**2))*5.
-7900 + 10*sqrt(11)
Simplify 4*(sqrt(475))**2 + (sqrt(1900) + 2)**2 + 2 + -4.
40*sqrt(19) + 3802
Simplify (3*sqrt(1584)*1 - (sqrt(44)/sqrt(4)*-5 - (1*sqrt(396) - sqrt(11))))**2.
23276
Simplify ((0 + sqrt(13)*1)*5 + -4 + (sqrt(468) - sqrt(468)*-3))**2.
-232*sqrt(13) + 10949
Simplify (-4*(sqrt(931) - (sqrt(931) - (sqrt(931) - (0 + sqrt(931) + -5)))) + (sqrt(931) + 0 + sqrt(931) + -4)*-5)**2.
93100
Simplify -6*-5*(-2 + (1 + sqrt(48))*2*4).
180 + 960*sqrt(3)
Simplify 6*-2*(-4*(-1 + sqrt(1539)))**2*6.
-1774080 + 20736*sqrt(19)
Simplify -4*-2*sqrt(539) - (sqrt(539) - (((3*-4*sqrt(539))**2 - sqrt(539)) + sqrt(539))).
49*sqrt(11) + 77616
Simplify ((2*sqrt(147) - sqrt(147))/sqrt(7)*-1)/(-3*sqrt(567)).
sqrt(3)/27
Simplify (-3*sqrt(204)*1)/sqrt(12) + (3 + sqrt(425) + 1)**2.
37*sqrt(17) + 441
Simplify ((sqrt(288)*2 - sqrt(288) - sqrt(8)) + sqrt(72)/sqrt(36))/((5*2*sqrt(44))/sqrt(11)).
11*sqrt(2)/20
Simplify (5*(sqrt(99) - 1*sq | {
"pile_set_name": "DM Mathematics"
} |
(j) = -3*j**2 - 82 + 4*j**2 - 9*j - 61 + 163. Let q be f(5). Factor q + 3/11*b**2 - 4/11*b + 1/11*b**3.
b*(b - 1)*(b + 4)/11
Let q be 403270/125919 + (-18)/(-51). Factor q + 2/9*s**2 + 34/9*s.
2*(s + 1)*(s + 16)/9
Let p = -2524 + 53008/21. Let q(y) be the second derivative of 0 + 35*y + 0*y**2 - p*y**4 + 2/7*y**3. Factor q(m).
-4*m*(4*m - 3)/7
Factor 18 - 74*c - 2*c**5 - 21*c**3 - 40*c**3 - 23*c**3 + 7*c**4 + 116*c**2 + 19*c**4.
-2*(c - 9)*(c - 1)**4
Let d(c) be the second derivative of c**6/30 - 3*c**5/5 + 29*c**4/12 - 3*c**3 + 2615*c. Find k, given that d(k) = 0.
0, 1, 2, 9
Let p(u) = u**3 + 6*u**2 - 8*u + 10. Let n be p(-8). Let l = -48 - n. Solve -20*g**3 + 3*g**2 + g**2 + 8*g**3 + 22*g**3 + l*g**4 = 0.
-1, -2/3, 0
Suppose -699*q = -701*q + 108. Let o be (-45)/q*(-9)/60. Factor 1/4*g - o*g**2 + 0.
-g*(g - 2)/8
Let c(x) = -19*x + 3. Let s be c(3). Let m = -47 - s. Determine d so that -m*d**2 - 10*d - d**2 + 5*d**2 - 5*d - 18 = 0.
-3, -2
Let l = -755/4 + 191. Let d(z) = z**3 - 89*z**2 + 500*z - 164. Let s be d(83). Solve l*j - 3/4*j**3 - 3/2 + 0*j**s = 0 for j.
-2, 1
Let o(t) be the first derivative of -2*t**5/115 - 143*t**4/46 - 10366*t**3/69 - 5041*t**2/23 - 327. Factor o(s).
-2*s*(s + 1)*(s + 71)**2/23
Let d(u) = -12*u**3 + 2*u**2 - 36*u + 16. Let b(v) = -27*v**3 + 5*v**2 - 74*v + 32. Let y(r) = -6*b(r) + 13*d(r). Factor y(p).
2*(p - 2)*(p + 2)*(3*p - 2)
Let h = -5065/2 + 2534. Let s(b) be the second derivative of 20*b**3 + 3*b + 0 - h*b**5 - 1/6*b**6 - 40*b**2 - 5/12*b**4. Factor s(y).
-5*(y - 1)**2*(y + 4)**2
Suppose v + 2 = -w, 374*w - 370*w = -5*v - 12. Let g(p) = -p**3 + 15*p**2 - 13*p - 14. Let a be g(14). What is k in -1/5*k**w + 7/5*k + a = 0?
0, 7
Solve -2/17*h**2 - 668/17 - 670/17*h = 0.
-334, -1
Let r(p) be the second derivative of -p**5/30 + 11*p**4/12 + 4*p**3 - 29*p**2/2 + 2*p - 42. Let u(d) be the first derivative of r(d). Factor u(y).
-2*(y - 12)*(y + 1)
Suppose 343*g - 687*g + 3 = -347*g + 3*t, 0 = -5*t + 5. Factor 0*p + 5/4*p**4 + g*p**2 + 5/4*p**3 + 0.
5*p**3*(p + 1)/4
Factor 261*x**2 + 18*x**3 + 9*x**3 + 7*x**4 - 6*x**3 + 351*x - 4*x**4 + 36*x**3.
3*x*(x + 3)**2*(x + 13)
Let q(a) be the first derivative of 46/5*a**4 + 25 + 0*a + 4/15*a**6 + 62/5*a**3 + 66/25*a**5 + 18/5*a**2. Suppose q(j) = 0. What is j?
-3, -2, -1/4, 0
Let t(b) = -5*b**4 + b**3 + b. Let u(g) = 18*g**4 - 45*g**3 - 267*g**2 - 345*g. Let n(d) = 3*t(d) + u(d). Factor n(i).
3*i*(i - 19)*(i + 2)*(i + 3)
Let g(d) be the second derivative of 1/4*d**5 - 35/6*d**3 - 180*d + 0 - 5/2*d**4 + 0*d**2. Determine c, given that g(c) = 0.
-1, 0, 7
Let c(s) be the first derivative of 0*s**3 - 73 + 0*s**2 - 4/25*s**5 - 3/5*s**4 + 0*s. Let c(t) = 0. What is t?
-3, 0
Let n(p) = 3*p**2 - 87*p - 625. Let a be n(35). Let l(s) be the first derivative of 1/20*s**a + 1/8*s**4 + 0*s**3 + 32 + 0*s**2 + 0*s. Solve l(w) = 0.
-2, 0
Let x(h) = 4*h - 160. Let q be x(44). Suppose 4*l**3 + 2*l**3 - 11*l**3 - q - 35*l**2 + 67*l - 17 + 6*l**3 = 0. What is l?
1, 33
Let z(j) be the second derivative of -1/28*j**4 - 11*j + 0 + 17/7*j**3 - 867/14*j**2. Factor z(y).
-3*(y - 17)**2/7
Let t = 43549/12 - 217709/60. Factor t*s**2 - 3/5 - 3/5*s + 3/5*s**3.
3*(s - 1)*(s + 1)**2/5
Let m(f) = -f**2 + 378*f - 54300. Let b(a) = -8*a - 1. Let c(s) = -22*b(s) + 2*m(s). Factor c(x).
-2*(x - 233)**2
Suppose -3*p + v - 256 = 0, -3*p - 256 = -4*v + 12. Let x be (-14)/p*(1 - -9). Find l such that -x*l**2 + 2 + 13/3*l = 0.
-2/5, 3
Let i be 6555/8740*12/130*8/18. Let r(f) be the first derivative of -i*f**5 + 0*f**2 + 4/39*f**3 + 0*f**4 + 6 - 2/13*f. Factor r(m).
-2*(m - 1)**2*(m + 1)**2/13
Let k = -245 - -372. Let o = k + -74. Factor -15*f**2 - 5 + 5 + 15*f**3 + 5*f - o*f**4 + 48*f**4.
-5*f*(f - 1)**3
Let p(m) be the first derivative of 3*m**4/28 - 10*m**3 + 3051*m**2/14 - 12636*m/7 + 2477. Factor p(y).
3*(y - 52)*(y - 9)**2/7
Suppose -2*g - 3*f = -g - 11, 0 = -g - 4*f + 10. Factor 30*k - 12*k**2 - g*k + 15*k**4 - 6 - 13*k**4.
2*(k - 1)**3*(k + 3)
Let z(m) = -4*m**2 - 3*m + 6. Let k(n) = -3*n**2 - 2*n + 4. Let q(d) = 6*k(d) - 5*z(d). Let f(j) = 2*j**2 + 4*j - 8. Let o(p) = -3*f(p) + 4*q(p). Factor o(i).
2*i**2
Let q be 3 - 62/(-13)*(-6498)/36. Let r = q - -858. Solve 2/13*m - r*m**2 + 12/13 = 0 for m.
-2, 3
Let q(h) be the first derivative of 2*h**4 + 370*h**3/3 - 542*h**2 - 294*h - 553. Factor q(s).
2*(s - 3)*(s + 49)*(4*s + 1)
Let h(p) = 35*p**2 - 2373*p + 2316. Let q(y) = -405*y**2 + 28475*y - 27795. Let u(a) = -25*h(a) - 2*q(a). Determine b, given that u(b) = 0.
1, 462/13
Factor 0 - 44/9*i**3 + 4/9*i**4 - 76/3*i**2 - 20*i.
4*i*(i - 15)*(i + 1)*(i + 3)/9
Suppose -6*a = 9 - 39. Suppose -p - 3*p - 176 = -a*o, -5*o + 5*p + 175 = 0. Factor -o*z**4 + 49*z**3 + 64*z**2 - 8*z**4 + 6*z**5 - 34*z**3 + 49*z**3.
2*z**2*(z - 4)**2*(3*z + 2)
Let t(v) = 297*v - 194. Let i be t(6). Determine m, given that m**2 - 4*m**2 - i*m + 1585*m + 90 = 0.
-6, 5
Determine c so that -374 - 124/3*c - 2/3*c**2 = 0.
-51, -11
Let l(u) = -u**3 - 7*u**2 - 9*u - 15. Let p be l(-6). Factor -4*f**4 - 11*f**5 - 3*f**4 - 22*f**2 + 10*f**5 - 24*f**p - 3*f**4 - 7*f.
-f*(f + 1)**3*(f + 7)
Let q(v) = v**2 - 16*v + 51. Let b be q(12). Factor -3*s**3 + 9*s + s**b + 3*s**2 + s + s**3.
-s*(s - 5)*(s + 2)
Factor 145 - 5/4*i**2 - 575/4*i.
-5*(i - 1)*(i + 116)/4
Factor 111/5*z - 3/5*z**3 + 558/5 - 18*z**2.
-3*(z - 3)*(z + 2)*(z + 31)/5
Let l(p) be the first derivative of -2*p**6/21 - 4*p**5/7 - 10*p**4/7 - 40*p**3/21 - 10*p**2/7 - 4*p/7 + 1164. Factor l(u).
-4*(u + 1)**5/7
Let l be (-1 + (-26)/(-10))*70/4. Let q(h) = 2*h - 1. Let x(b) = -2*b**2 - 30*b - 70. Let u(p) = l*q(p) - 2*x(p). Factor u(c).
4*(c + 1)*(c + 28)
Let q = 368 + -363. Determine p so that 15*p**4 + 3*p**5 - 2426*p**3 + q*p**2 + 2447*p**3 + 4*p**2 = 0.
-3, -1, 0
Let d(q) be the third derivative of -q**5/180 + 191*q**4/36 - 379*q**3/6 - 4172*q**2. Let d(i) = 0. What is i?
3, 379
Let z(c) be the third derivative of -c**6/180 - 37*c**5/90 - 31*c**4/6 + 925*c**2. Let z(t) = 0. What is t?
-31, -6, 0
Let o = 3032 - 9088/3. Let r(h) be the first derivative of -1/9*h**3 + 1/3*h**2 + o*h + 2. Suppose r(u) = 0. Calculate u.
-2, 4
Let a(f) be the third derivative of 8*f**7/245 + 121*f**6/35 + 16657*f**5/140 + 1089*f**4 + 4536*f**3 + 1942*f**2. Let a(d) = 0. What is d?
-28, -9/4
Let i(s) be the second derivative of 14*s - 49/6*s**7 - 42/5*s**5 - 8/21*s**3 - 8/3*s**4 - 196/15*s**6 + 0*s**2 + 0. Solve i(z) = 0.
-2/7, 0
Solve 480 - 97*g - 94*g - 97*g - 4*g**2 + 280*g = 0 for g.
-12, 10
Let i be -9*3/(-9) - (-3 - 4). Let z be (-6)/(-63)*((-45)/i - -9). Let -12/7 + z*x**2 + 0*x = 0. What is x?
-2, 2
Let i(b) = -5*b**2 + 15*b + 1. Let r(d) = d**2 - 3*d. Let p(x) = -11*x + 11. Let q be p(4). Let c(h) = q*r(h) - 6*i(h). Factor c(o).
-3*(o - 2)*(o - 1)
Let q(i) be the first derivative of -i**4/3 - 104*i**3/9 - 272*i**2/3 + 512*i - 5009. What is h in q(h) = 0?
-16, -12, 2
Factor 15*m - 3*m**2 - 136*m + 54*m - 134*m - 24*m.
-3*m*(m + 75)
Let q(w) = -12*w**3 + 151*w**2 - 543*w + 706. Let c(k) = -16*k**3 + 201*k**2 - 725*k + 942. Let b(u) = 7*c(u) - 9*q(u). Find z, given that b(z) = 0.
3, 4, 5
Let o(f) = -5*f**4 + 29*f**3 + 40*f**2 - 76*f + 8. Let b(r) = -9*r**4 + 60*r**3 + 80*r**2 - 152*r + 14. Let j(y) = -4*b(y) + 7*o(y). Let j(u) = 0. Calculate u.
-2, 0, 1, 38
Let g(p) be the second derivative of 5/6*p**3 + 0*p**2 + 3/8*p**4 + 17/80*p**5 + 0 + 7/240*p**6 - 13*p. Let o(z) be the second derivative of g(z). Factor o(q).
3*(q + 2)*(7*q + 3)/2
Let h(w) = 4*w**2 + 540*w + 540. Let n be h(-134). Let s = -87 - -613/7. Factor -8/7*d**3 + s*d**5 + 0*d**2 + 0*d + 0 + 4/7*d**n.
4*d**3*(d - 1)*(d + 2)/7
Let x(t) be the second derivative of -15/2*t**2 - 269*t + 0 - 25/6*t**3 + 5/6*t**4. Factor x(g).
5*(g - 3)*(2*g + 1)
Let x be ((-80)/24 - (-2 + (-33)/(-9)))/(-1). Let z(k) be the first derivative of 2/45*k**x + 2/9*k**2 - 6 + 0*k**4 - 2/9*k**3 + 0*k. Factor z(j).
2*j*(j - 1)**2*(j + 2)/9
Let k(s) be the first derivative of 5*s**4/16 + 75*s**3/4 + 415*s**2/8 - 645*s/4 - 2621. What is h in k(h) = 0?
-43, -3, 1
Factor -3645 - 135*c - 5/4*c**2.
-5*(c + 54)**2/4
Let p be 6/3 + -4 - -4. Find m such that 5*m + 2*m**p - 2 - 57*m**5 + 58*m**5 - 2*m - 4*m**3 = 0.
-2, -1, 1
Suppose -17690 = -646*m + 656*m. Let y = m - -22999/13. Find r | {
"pile_set_name": "DM Mathematics"
} |
maller than -4/33261?
True
Is 9 bigger than 140/17?
True
Is -598 at most as big as 0?
True
Which is bigger: -1 or 7/32?
7/32
Which is greater: 0 or -34/1379?
0
Is 956/11 at most 87?
True
Which is smaller: -156 or -161?
-161
Is 549/8 <= 70?
True
Is 50 less than 452/9?
True
Which is greater: -1 or 35/141?
35/141
Which is smaller: 1483 or 2963/2?
2963/2
Which is smaller: 2/5 or 0.12?
0.12
Which is bigger: 2094 or 2096?
2096
Which is bigger: -1 or -257?
-1
Which is smaller: 1 or 4/439?
4/439
Do 1 and 1/131 have the same value?
False
Which is smaller: 5 or 3?
3
Which is bigger: 5121/7 or 732?
732
Which is greater: 12/35 or -3/2?
12/35
Do -22 and -920/43 have different values?
True
Is 0 less than 2/10107?
True
Is 439/2 at least 220?
False
Which is smaller: -4/321 or -1?
-1
Which is smaller: 132 or 134?
132
Is 2 > -13/18?
True
Which is smaller: 0.1 or -15726?
-15726
Which is smaller: 310 or 311?
310
Is -4705 not equal to -4705?
False
Do 81 and -9 have the same value?
False
Is -2/23 greater than or equal to 0?
False
Is -2.63 less than -9?
False
Which is smaller: -4/3 or 0.2?
-4/3
Is 738 < 3?
False
Which is smaller: -0.0589 or 0?
-0.0589
Is 696 at least as big as 698?
False
Which is greater: -6 or -1.4?
-1.4
Which is smaller: 10 or 207/22?
207/22
Are -3355 and 1 nonequal?
True
Which is smaller: -949 or -0.2?
-949
Is 1962 greater than 13729/7?
True
Which is greater: -1 or 0?
0
Is 1557 smaller than 7786/5?
True
Is -87 not equal to 12?
True
Which is greater: -121 or -7?
-7
Which is bigger: -1 or -4/28295?
-4/28295
Which is smaller: 101 or 112?
101
Which is smaller: 5 or 10?
5
Which is bigger: -88 or -90?
-88
Which is greater: -52 or -68?
-52
Is -4/3149 less than -1?
False
Is -93 less than -53?
True
Is 0 smaller than 1/86?
True
Which is smaller: -55/134 or -1?
-1
Which is bigger: 54 or 48?
54
Is -27 at least as big as -22?
False
Is -1 bigger than 5/1042?
False
Which is greater: -39/10 or -4?
-39/10
Which is greater: 177 or -3/11?
177
Is 13/8 at least as big as -41/5?
True
Which is smaller: 84/659 or 0?
0
Do -8 and 0.3 have the same value?
False
Which is greater: -0.1457 or 0?
0
Is 0.1 >= 1/494?
True
Does 0 = 5/208?
False
Which is smaller: -185 or -186?
-186
Which is smaller: -10.5 or 1?
-10.5
Is 690 less than 691?
True
Which is smaller: 234 or 239?
234
Which is smaller: 1909 or -14?
-14
Which is bigger: 38 or -172?
38
Is -0.027 at least as big as 2/17?
False
Which is bigger: -864 or -0.1?
-0.1
Which is greater: -2/3295 or -1?
-2/3295
Is 20 bigger than 18?
True
Which is bigger: -14 or 16/31?
16/31
Which is smaller: -0.3 or 83.1?
-0.3
Are 13/3871 and 1 equal?
False
Is -65/33 at least -2?
True
Is -1 less than 3/25999?
True
Is -18.5 at least -1/2?
False
Is -15 greater than or equal to 9?
False
Is 11323 not equal to -2/3?
True
Is -163 != -649/4?
True
Which is smaller: -577 or 5?
-577
Which is smaller: -208/19 or -11?
-11
Is 35 equal to 36?
False
Is 5/3 < 98?
True
Is 15.66 at most as big as 1?
False
Are -2.7 and 0.02 non-equal?
True
Is 4623 greater than 4622?
True
Are -1 and 3/3190 nonequal?
True
Which is bigger: -2/18497 or 0?
0
Is -224/17 > 0.1?
False
Which is smaller: -214 or -217?
-217
Which is bigger: 103 or 104?
104
Is 49 > -31?
True
Which is greater: 429 or 431?
431
Which is smaller: 19968 or 19969?
19968
Is 5795 at most 5795?
True
Is 722 less than 724?
True
Which is bigger: 76 or 87?
87
Which is bigger: -24 or 1?
1
Is -0.1 >= -0.09301?
False
Which is bigger: -2.3 or -5/6?
-5/6
Is -393 bigger than -393?
False
Which is smaller: -919 or 1?
-919
Which is greater: 354 or 352?
354
Which is smaller: -26 or -19?
-26
Is 1 greater than 22/47?
True
Is -1 at least 2/247?
False
Which is greater: 1 or -6589?
1
Which is greater: 0.1 or 72359?
72359
Is 1 > -3/11?
True
Is -6/143 smaller than 2?
True
Which is bigger: 0.1 or -1.829?
0.1
Which is greater: -39 or -79/2?
-39
Is -310 at most -311?
False
Which is smaller: -142/11 or -12?
-142/11
Which is greater: -331/47 or -6?
-6
Are 573 and -56 equal?
False
Is -92/29 equal to -4?
False
Which is smaller: -716 or 2/13?
-716
Which is greater: -1790 or -1788?
-1788
Which is greater: -171 or 2/11?
2/11
Is 7 greater than or equal to -1/13?
True
Which is bigger: 0.1 or 188?
188
Is -14 less than or equal to -380/27?
False
Is 12079 < 1?
False
Which is greater: -403 or -402?
-402
Which is smaller: 15 or 298?
15
Which is smaller: -2724 or -2732?
-2732
Is -217/33 > -6?
False
Does 0 = 10/191?
False
Is 60 greater than or equal to 99?
False
Which is bigger: 36 or 45?
45
Which is smaller: -12064/7 or -1722?
-12064/7
Does -58 = -7?
False
Which is smaller: 195 or 194?
194
Is 207/8 greater than 1?
True
Which is smaller: -273 or 35?
-273
Are 59.4 and 0 unequal?
True
Is -9/47 equal to 0?
False
Is 275 at most 276?
True
Which is bigger: 38 or -0.2?
38
Which is smaller: -375 or -376?
-376
Is 1 != 17/81?
True
Is 1868 at least 1868?
True
Do -12 and -183/17 have the same value?
False
Is -0.1 equal to 11877?
False
Which is greater: -3/7 or -95?
-3/7
Which is bigger: 881 or 880?
881
Does 0 = -4/427?
False
Do 391 and 386 have the same value?
False
Which is smaller: 1/12 or 14?
1/12
Is -4 greater than -0.099?
False
Which is smaller: 1/109 or -1?
-1
Is -1496 less than or equal to -1496?
True
Is 150 at least 2?
True
Are -10 and -17 unequal?
True
Is 2318 at most 2318?
True
Is 6988 greater than 6989?
False
Which is smaller: -9 or -88/9?
-88/9
Which is smaller: -14 or -8?
-14
Which is smaller: 9 or 139/18?
139/18
Which is greater: 0 or 90/227?
90/227
Is 307 equal to 307?
True
Is -59/3 greater than or equal to -21?
True
Which is smaller: -8 or -93/11?
-93/11
Which is smaller: -284 or -3?
-284
Are -2 and 1066 non-equal?
True
Which is greater: 872/11 or 80?
80
Does 7/75 = 1?
False
Which is smaller: -242 or -241?
-242
Which is greater: 7/692 or 1?
1
Is 7/2182 greater than or equal to 0?
True
Which is bigger: -1365 or -1367?
-1365
Is -0.024457 != 0.1?
True
Which is bigger: 10 or 4?
10
Is 98/9 bigger than 11?
False
Are 9 and -40 nonequal?
True
Which is greater: 19 or 34?
34
Which is smaller: -11 or -3/16?
-11
Which is smaller: 4 or 383/98?
383/98
Do 0 and 13/282 have different values?
True
Which is bigger: -4 or -3?
-3
Is -450 at most -1351/3?
False
Which is greater: -47/6 or 2?
2
Is 2731 < 1/4?
False
Which is smaller: -169 or -185?
-185
Is -71 bigger than -107?
True
Is 128/5 smaller than 26?
True
Which is greater: 46/19 or 3?
3
Is 563 != 564?
True
Which is bigger: -1372 or -1373?
-1372
Does -2 = -75/28?
False
Which is bigger: -1 or -3/580?
-3/580
Is 501 bigger than 502?
False
Is -1 > 0.3531?
False
Is -6 at least -422?
True
Which is greater: -44/111 or 0?
0
Do 109 and 106 have different values?
True
Is 1145 bigger than 1145?
False
Is -67 >= 5?
False
Is 102 smaller than -49?
False
Which is smaller: -27 or 8?
-27
Are 0.3 and -889/3 nonequal?
True
Which is bigger: 151 or 1/4?
151
Which is smaller: -1 or 684?
-1
Is -3 greater than or equal to 5/2?
False
Is -10/29 at least as big as 1?
False
Which is greater: 145 or 147?
147
Are -151 and -149 non-equal?
True
Which is bigger: -126.3 or 0?
0
Are -782/33 and -24 equal?
False
Is -63 at least as big as -49?
False
Is 6/23 at least 1?
False
Is -10 greater than -4?
False
Are 0 and -2/4681 equal?
False
Are 0.585 and 21 unequal?
True
Which is smaller: 8 or 282/31?
8
Which is greater: 1 or -5/1577?
1
Are -5506 and -5500 non-equal?
True
Which is greater: 2 or -119/5?
2
Which is greater: -17 or -327/20?
-327/20
Which is bigger: 3 or 46/13?
46/13
Which is bigger: -24 or -29?
-24
Which is greater: -1328 or -1307?
-1307
Which is smaller: 2/11 or -2/35?
-2/35
Is 54 greater than or equal to 52?
True
Which is smaller: 1 or -6/253?
-6/253
Is -1 smaller than -2/799?
True
Is 19 >= 21?
False
Is -1291 not equal to 0.6?
True
Is -62 smaller than -56?
True
Which is bigger: 1/3 or 2281/4?
2281/4
Which is greater: -126 or -147?
-126
Is -2082 at most -2080?
True
Is 2/3 equal to -1.199?
False
Does 7610 = 7610?
True
Which is smaller: -741 or -0.1?
-741
Is -631 != -630?
True
Which is greater: -1269/7 or -181?
-181
Which is greater: 0.062 or 0?
0.062
Is -1/2471 >= 1?
False
Is 102/7 less than 14?
False
Is 31 != 17?
True
Are 0 and 30/347 equal?
False
Which is greater: -5865 or -5864?
-5864
Is -2/3 less than or equal to -2?
False
Is 1 at least as big as | {
"pile_set_name": "DM Mathematics"
} |
*4
Expand 4*j - 5*j - 3*j + (0*j - 4*j - 2*j)*(1 + 1 - 1).
-10*j
Expand (-6*b + 2*b + 2*b)*(2*b + 4*b - 2*b + (2 + 5 - 5)*(-b + b - b)).
-4*b**2
Expand (-1 - 2 - 1)*(0 + 4 - 2)*(-4 - 2*h + 4)*(3*h**3 - 2*h**2 + 2*h**2).
48*h**4
Expand 3*s - 4*s + 0 + 3 + (-4 + 4 + 1)*(2*s - 4 + 4).
s + 3
Expand (-1 + 3 - 3)*(-62 + 62 + 7*i**2).
-7*i**2
Expand -12*n + 5*n + 8*n + 0*n - 2*n + 4*n + (6 - 1 - 4)*(n - 3*n + n).
2*n
Expand (-1 - 1 - 2)*(-4*t - t + t).
16*t
Expand (2*g**2 - 3*g**2 + 5*g**2 + (1 - 3 + 1)*(5*g**2 - 4*g**2 - 2*g**2))*((-g + g - 2*g)*(2*g + 2*g - 2*g) + g**2 - g + g).
-15*g**4
Expand (-1 + 0 + 3)*(-2 + 2 + s) + 9*s - 5*s + 14*s.
20*s
Expand -13*x + 14*x + 2 + 10*x + 2*x + 2*x - 2*x + (0 + 2 + 0)*(-2*x + 0 + 0) - 2*x + 2 - 2 - 4 + x + 4 + 3 - x - 3.
7*x + 2
Expand (-a**2 + a**5 + a**2)*(11 + 6 + 3).
20*a**5
Expand 4*s**3 - s**3 - 4*s**3 + (-4*s**2 - s**2 - s**2)*(0 + 2*s + 0).
-13*s**3
Expand (-1 + 5 - 3)*(19*a**2 + 10*a**3 - 19*a**2)*(0 - 2 - 3).
-50*a**3
Expand (121 + 24*t**3 - 121)*(0*t - 4*t + 6*t).
48*t**4
Expand (5 + 4*c**2 - 5)*(-7 + 2 + 0 + (1 + 0 + 1)*(-3 + 0 + 5)).
-4*c**2
Expand (19 - 11 + 14 + 27)*(2*c**3 + c**3 + 0*c**3).
147*c**3
Expand (0 - 2 - 1)*(8*y + 2*y + 11*y**2 - 8*y).
-33*y**2 - 6*y
Expand (3 + 3*l - 3)*(3*l - 2*l + 0*l) - 6*l - 3 + 9*l + 4 + l**2.
4*l**2 + 3*l + 1
Expand -2*y**2 - y + y + (-4*y + 0*y + 2*y)*(-3 + 3 + 4*y) + 6*y**2 - 3*y**2 + 3*y**2.
-4*y**2
Expand (5 - 2*f - 5)*(0 + 0 + 2) - f + 0*f + 0*f - 3*f + 0*f + 2*f + (2*f - 3*f - f)*(0 - 5 + 3) + f - 2*f + 0*f - f + 13*f + 10*f.
19*f
Expand (-2 + 2 + 1)*(15*g + g**2 - 9*g - 1 + 8*g).
g**2 + 14*g - 1
Expand (-o**2 + 3 + 0*o**2 - 11)*(1 + 2*o**2 - 1).
-2*o**4 - 16*o**2
Expand 6*k - 15 + 3*k - 3*k + (2*k + 0*k - 3*k)*(2 - 1 - 3) - k - 2*k + 5*k + 0*k + 3*k - 4*k.
9*k - 15
Expand (-2 + 2 + 2*p**5 - 2)*(2 + 18 - 4).
32*p**5 - 32
Expand (6*t - 2*t - 2*t)*(4*t + 2*t + 3*t) + 3*t + t**2 - 3*t - 2*t**2 - 2*t**2 + 5*t**2 + (6*t - t - 3*t)*(2*t + 1 - 1).
24*t**2
Expand (-2 + 1 + 0)*(-2*z**2 + 2*z**4 + 2*z**2 + (3*z**3 - z**3 - z**3)*(-3 + 3 - z) - 2*z**4 + 0*z**2 + 0*z**2 + 85 - 85 - 12*z**4).
13*z**4
Expand (g**5 + g**5 + 0*g**5)*(0 + 0 - 2 + (4 - 2 - 1)*(1 + 1 - 1) - 3 + 6 - 2 - 6 + 1 + 3).
-4*g**5
Expand (3 - 4*f**3 - 3)*(-3*f**2 + 3*f**2 + 2*f**2 + (-2*f + 2*f + 2*f)*(-3*f + f - f)) + 3*f**5 - 3*f**5 - 2*f**5.
14*f**5
Expand (-4*c + 4*c - 1 - c**3)*(0*c + 16*c - 32*c).
16*c**4 + 16*c
Expand (-3*h - 13 + 13)*(-3 + 4 + h + 0*h).
-3*h**2 - 3*h
Expand (-p**3 - p**5 + p**3)*(3 + 0 + 0) + (0*p**5 - p**5 + 2*p**5)*(2 + 3 - 4) + p**5 + p**5 + 0*p**5 - 6*p**2 - 32*p**5 + 6*p**2.
-32*p**5
Expand (c**4 + 2*c**2 - 2*c**2)*((2*c - 2*c + c)*(5 - 4 + 1) + c - 5*c + 3*c).
c**5
Expand 7*i**2 - 3*i**2 - 2*i**2 + (-4*i + 3*i + 0*i)*(11*i + 14*i - 9*i).
-14*i**2
Expand (2*p**2 - 2*p**2 - 2*p**3)*(2 - 5 + 1)*(-10*p + 3*p - 5*p).
-48*p**4
Expand (-3*s**2 + 7 - 3 - 5 - s)*(2 + 4 - 3).
-9*s**2 - 3*s - 3
Expand -6*f**3 + 3*f**3 + f**3 + (-10 + 6 - 6)*(-f**3 + 0 + 0).
8*f**3
Expand -5*h + 4*h + 0*h + (h + 5*h + 3*h)*(-3 + 1 + 3).
8*h
Expand (0*g**2 - g**2 - 4*g**2)*(0*g - 3*g + g).
10*g**3
Expand (3 + 7*w - 3)*(0*w + 3*w + 0*w)*(2 - 2 - w).
-21*w**3
Expand (-4*p + 6*p + 0*p + (-4 - 1 - 1)*(2*p + 0*p + 0*p) - p + 2*p + p)*(2*p**2 + 0*p**2 + 0*p**2).
-16*p**3
Expand (-3*d**3 + 3 - 3)*(3*d - 2*d + 0*d)*(7 - 7 - 3*d)*(1 - 3 + 3).
9*d**5
Expand (-2 + 2*d**2 + 2 + 1 - 1 + d**2 + (-4*d + 5*d + 3*d)*(d - 2*d + 2*d) + 0*d**2 + 2*d**2 - 4*d**2 - 2*d**2 + 2*d**2 + d**2)*(6*d**2 - 2*d**2 - 2*d**2).
12*d**4
Expand (-3 + 2*s**2 + 3 + (2*s + s - 4*s)*(-1 + 1 - s))*(-3*s - 7*s + 3*s).
-21*s**3
Expand (0*v + v - 3*v)*(-4*v**3 + 0*v**3 + 3*v**3) + (3*v**2 - 3*v**2 - v**2)*(7*v**2 + v**2 - 2*v**2).
-4*v**4
Expand (t + 3 - 3)*(-1 + 0 + 3) + 2*t - 4*t + t + (-1 + 0 + 2)*(0 + 0 - 3*t).
-2*t
Expand (2*o**2 - o**2 + 0*o**2 + (2 - 2*o - 2)*(-o + 4*o - o))*(22 - 3*o**2 - 26 + 2*o**2).
3*o**4 + 12*o**2
Expand (1 + 0 + 0)*(k**4 - 2*k**4 + 3*k**4) + k**4 + k**4 - 3*k**4 - 2 + 2*k**4 + 2 + (0*k**3 + k**3 + 0*k**3)*(-3*k - 5*k + 2*k) - 13*k**2 - k**4 + 13*k**2.
-4*k**4
Expand (2*c - 2*c - 2*c)*((3 - 3 + 2)*(2 - 3 + 3) - 4 - 1 + 6).
-10*c
Expand -2*t + 2*t + 2*t**2 + (-2 + 0 + 6)*(-4*t**2 + 2*t**2 + 3*t**2) + (t - 3*t + 0*t)*(0 + 2 - 4)*(3*t - 3*t + t).
10*t**2
Expand (-1 + 4 - 1)*(-2*g - 2*g + 2*g) - 164*g - 9*g - 113*g + 40*g.
-250*g
Expand (q**3 + 2*q**2 - 2*q**2)*(3*q - 2*q**2 - 3*q) + (q**2 + 0 + 0)*(-2*q + 2*q - q**3).
-3*q**5
Expand -4*n + 3*n**2 + 1 + 3*n - n**2 + 0 + 0 - 2*n**2 - 2*n + 2*n - n**2 + (4 - 4 + 7*n)*(-3 + 3 - 2*n).
-15*n**2 - n + 1
Expand (b + b - 1 + 0)*(0 + 4 - 3).
2*b - 1
Expand (6*v**3 - 7*v**3 - 7*v**3 + (1 - v**2 - 1)*(0*v + v - 3*v))*(-5 + 0 + 2).
18*v**3
Expand (9*h**2 + 4*h**2 - 8*h**2)*(4 - 2 - 1).
5*h**2
Expand 2*p - p - 2*p + (0 + 2 - 1)*(1 - p - 1) - 4*p - 2*p + 5*p.
-3*p
Expand -c**3 + 2*c**3 - 2*c**3 + (4 - c - 4)*(4*c**2 - 3*c**2 + 0*c**2) - 12*c - 7*c**3 + 12*c + 0 + 0 + c**3.
-8*c**3
Expand d**4 - 2 + 2 + (2*d + 2*d**2 - 2*d)*(-2*d**2 + 0*d**2 + 4*d**2) + 4*d**4 - 4*d**4 + d**4 - 15*d**4 + 71*d**3 - 71*d**3.
-9*d**4
Expand (22*z - 11*z + z)*(-1 + 2 + 2)*(0*z**3 + z**3 - 2*z**3).
-36*z**4
Expand -i - 2*i**3 + i + i**3 - 3*i**3 + 0*i**3 + (3*i + 2*i**2 - 3*i)*(2*i - i - 2*i) - 2*i**3 + 3*i**2 - 3*i**2 + 1 - 1 - 2*i**3.
-10*i**3
Expand -4*r + r + 5*r + (2 - 1 - 2)*(3*r - 3*r - 2*r).
4*r
Expand (4 - 4 + 3*n + (2 + 0 + 0)*(-5*n + n + 2*n) - 5*n + 0*n + 2*n + 2 - 2 - 2*n + n + 1 - 1 + 3 - 3 - n)*(3*n - n + 0*n)*(-3 + 1 + 0).
24*n**2
Expand (15*b - 3*b + 0*b)*(-b**3 + 0*b**3 + 3*b**3 + b**3 + 2*b**3 - 2*b**3 + (-2*b + b + 3*b)*(-3*b**2 + 2*b**2 + 2*b**2)).
60*b**4
Expand (5*c - 2*c - 4*c + (-4 + 0 + 2)*(c - 2 + 2) - 2 + 2 - c)*(-1 + 3 - 1)*(8*c**3 + 8*c**3 - 5*c**3).
-44*c**4
Expand (-4*a + 4*a + 6*a**2)*(-4 + 4 - 2*a) - 3*a**3 + 2*a**3 + 0*a**3.
-13*a**3
Expand (i + 2 + 5 - 3)*(3*i**3 - 2 + 2).
3*i**4 + 12*i**3
Expand (-4*q - 2 - 3 + 4)*(2 + 2 - 1).
-12*q - 3
Expand 0*h**4 + 0*h**4 + 2*h**4 + 2*h**3 - 2*h**3 + h**4 + (-5 + 2 + 4)*(h + 2*h**4 - h) + (-3*h**3 - 5*h**3 - 8*h**3)*(4*h + h - 2*h).
-43*h**4
Expand (6 + s**2 - 5 + 4)*(s**2 + 1 - 1).
s**4 + 5*s**2
Expand -3*l + 6*l + l - 2*l + 0*l + l + (l - 6*l + 4*l)*(1 - 3 + 3) + 3*l - 2*l - 2*l - 2*l - l + 0*l.
-2*l
Expand (0*j + 4*j - 2*j)*(-5 - 2*j**2 + 5) + (-5*j - 12*j**3 + 5*j)*(-5 + 2 + 1).
20*j**3
Expand (49*a - 10*a**2 - 49*a)*(-2*a**2 + 2*a**2 - 3*a**3).
30*a**5
Expand (0*h - 2*h + 0*h)*(0*h + h - 3*h)*(-h**2 + 3*h**2 + 11*h**2).
52*h**4
Expand (k - 3*k + 0*k)*(1 - 3 - 4 + (-1 + 4 - 2)*(-1 - 3 + 2)).
16*k
Expand (-j**3 + j**3 - 2*j**4)*(18*j + 101 - 101) + 2*j**5 - 2*j**5 - 2*j**5 + (3*j**3 - 6*j**3 + 4*j**3)*(-j + j**2 + j).
-37*j**5
Expand (f**2 - f**2 + 9*f**2)*(-2*f + 2*f - 2*f**2 + (0 - 2*f**2 + 0)*(3 + 0 - 2)).
-36*f**4
Expand (2 + 0 - 1)*(-4*n**2 + 4*n**2 + 19*n**4)*(2 + 0 - 6).
-76*n**4
Expand (-1 + 1 + 1)*(11 + 0 - 2)*(0*m - 4*m + 2*m)*(2*m - 4*m + m).
18*m**2
Expand (-2 + 2 - 2)*(-7*c**3 + 2*c**3 + 3*c**3)*(-3*c + c + 0*c)*(0 + 2 - 1).
-8*c**4
Expand (4*n - 2*n - 4*n)*(5*n - n - 5*n) + (2 + 2 - 3)*(-7*n**2 + 3*n**2 + 3*n**2).
n**2
Expand (1 - 1 + 3*z)*(5*z + 11*z - 4*z).
36*z**2
Expand -4*a**2 - a**2 + 3*a**2 + (0*a + 3*a - 5*a)*(a - 2*a - a) + a - a - a**2 - 4*a**2 - 2*a**2 - 4*a**2.
-9*a**2
Expand 4*v**4 - 2*v**4 - 3*v**4 + (0*v**2 - v**2 + 0*v**2)*(3*v**2 + 0*v**2 - 2*v**2) + 176*v**2 - 173*v**2 + v**4 + 0*v**4.
-v**4 + 3*v**2
Expand (8*b - 13*b + 11*b)*(b - 3*b + b) - 2*b + 2*b + b**2 + (-4 + 4 - b)*(2*b + 0*b - 3*b) + 2*b**2 - 3*b**2 + 2*b**2 + 3*b**2 + b**2 - 3*b**2.
-2*b**2
Expand 31*n + 14 - 14 + n - 2*n - n - 3*n + 0*n + 4*n + (5 - 5 - 2)*(-n + 2 - 2) - 4*n + 0*n + 5*n - 3*n + n + n.
32*n
Expand (3 - 3 + 4)*(i**2 - 4*i**2 + 2*i**2)*(16*i + 4 - 4)*(2*i + i - 4*i).
64*i**4
Expand ((-n + 0*n + 0*n)*(2 - 2 + 2) + n + n - n + 2*n - n - 2*n - 6*n + n + n)*(8*n - 8*n + n**2).
-6*n**3
Expand (-f - 3*f + 2*f)*(6*f**4 + 3*f**4 - f**4) + 3*f**5 - 5*f**5 + f**4 - 3*f**4 - 2*f**2.
-18*f**5 - 2*f**4 - 2*f**2
Expand -4*t**5 + 0*t**5 + 2*t**5 + (-6*t - 7*t + 2*t)*(3*t**2 + 3*t**4 - 3*t**2) - 2*t**5 - 4*t**5 + 7*t**5.
-34*t**5
Expand (-4*p - 4*p + 2*p)*(-3*p + 5*p + 3*p) - 2 - 2*p**2 + 2.
-32*p**2
Expand (9 - 7*t + 17*t - 7)* | {
"pile_set_name": "DM Mathematics"
} |
6 and 1355624 have the same value?
False
Is -317 greater than or equal to -3.6?
False
Is -315365 smaller than -1261463/4?
False
Which is smaller: 0 or -9/3877?
-9/3877
Is -2387 at least -2404?
True
Is -36/93413 greater than 0?
False
Which is greater: -31395 or -31389?
-31389
Is -1 > -2/43967?
False
Are 2040968 and -2/5 equal?
False
Which is smaller: 9826 or 147392/15?
9826
Do -26586 and -26571 have the same value?
False
Which is greater: -1358 or 81?
81
Is 16 <= -35?
False
Which is smaller: -7 or -432/5?
-432/5
Which is smaller: -2330 or -2326?
-2330
Is 43 less than or equal to 2555/58?
True
Is 432 > 432?
False
Which is greater: -21 or -686/31?
-21
Which is smaller: 0 or 549170?
0
Which is smaller: 0 or 858/2081?
0
Is -578 equal to 273?
False
Which is smaller: 214 or 8750/41?
8750/41
Which is smaller: 1 or 1/325036?
1/325036
Which is smaller: 2444701 or 2444702?
2444701
Do -3526/179 and -19 have the same value?
False
Which is smaller: -15826.4 or -2/5?
-15826.4
Which is smaller: 482 or 4271?
482
Is -347 at most -1480?
False
Is -34/99 smaller than 130?
True
Are 47 and 4042/87 equal?
False
Which is smaller: 151991 or 151995?
151991
Is -48.1 >= -272?
True
Which is smaller: 17045 or 17100?
17045
Are 86/8711 and 0 non-equal?
True
Is -17371 < 2?
True
Are -115444 and -115431 nonequal?
True
Is -222485/4 at most -55621?
True
Is 382375 greater than or equal to 382371?
True
Which is smaller: -380 or -290?
-380
Do -21083 and -21083 have the same value?
True
Is 1430 at least as big as 11/18?
True
Is 20628 equal to 144405/7?
False
Is -23565 greater than -23563?
False
Which is bigger: -1 or -2/7968335?
-2/7968335
Which is smaller: -323969 or -323957?
-323969
Which is greater: -19 or -355?
-19
Is 2231/5 at most 16?
False
Is 2894 less than 8686/3?
True
Which is bigger: -1384.3 or -9?
-9
Is -275012 != 0.15?
True
Which is smaller: -46717 or -46715?
-46717
Which is bigger: -162 or -513.1?
-162
Is 3/388901 less than or equal to 0?
False
Which is smaller: -1415 or 34?
-1415
Which is smaller: -2/181769 or -1/4?
-1/4
Is 14236/11 > 1295?
False
Is -163317/2 at least -81660?
True
Is -43488 != -43488?
False
Is -561625 bigger than -561625?
False
Which is greater: 2760 or 330?
2760
Which is bigger: -13 or -1319/94?
-13
Which is smaller: 33/442 or -0.2?
-0.2
Is 15898 bigger than 12?
True
Which is greater: -61260 or -61254?
-61254
Which is bigger: 39141 or 117419/3?
39141
Is -148 < 38.61?
True
Is -0.03 greater than or equal to -6.401?
True
Which is greater: -2239414 or -2239413?
-2239413
Which is smaller: -1907 or 216?
-1907
Which is smaller: -757 or -606?
-757
Is -1 greater than or equal to 136/4809?
False
Is 20139 bigger than 20139?
False
Which is smaller: -17/42 or -0.907?
-0.907
Are 140 and -16025 equal?
False
Which is smaller: 33434 or -6?
-6
Which is greater: -66371 or -530957/8?
-530957/8
Is -1 bigger than 1/23942?
False
Which is smaller: 2006 or -5.1?
-5.1
Which is smaller: -2/271185 or -0.4?
-0.4
Which is smaller: -3/32285 or -1?
-1
Which is greater: 2273/255 or 8?
2273/255
Which is bigger: 2/15 or 4776?
4776
Is -1947/889 < -2?
True
Which is smaller: 245 or 8/795?
8/795
Is 33809 < 33807?
False
Which is smaller: 11/6 or 507?
11/6
Which is bigger: 30.3 or -3924?
30.3
Which is bigger: 465 or 499?
499
Which is smaller: 38454 or 38453?
38453
Which is smaller: 1023/25 or 41?
1023/25
Is 1/3 at least as big as -4581?
True
Is 9287 at most as big as 9288?
True
Do -1059 and 16/39 have different values?
True
Which is bigger: -3/17834 or -1?
-3/17834
Which is greater: -13996/3 or -4666?
-13996/3
Which is greater: 0.1 or -4/70527?
0.1
Is 0.00193 bigger than -5/4?
True
Which is bigger: 20806 or 37?
20806
Is -155645 <= -155644?
True
Which is smaller: 0 or 5/2082801?
0
Which is greater: 0 or -208/753?
0
Are -55/4 and -0.6801 non-equal?
True
Which is smaller: -1514 or -1482?
-1514
Is 302.28 smaller than 184?
False
Which is smaller: -506658 or -4/9?
-506658
Which is smaller: 30331 or 515641/17?
30331
Which is smaller: 0 or 31/132?
0
Which is smaller: -10984 or -10996?
-10996
Which is smaller: 15062 or 30125/2?
15062
Which is greater: 4514 or 127/4?
4514
Which is smaller: -0.1 or 83832?
-0.1
Is -1 less than -2/13889287?
True
Is 306880 equal to 306885?
False
Is -226333 at most as big as -226353?
False
Is -0.2 >= 27884?
False
Is 9/8 less than or equal to 27.054?
True
Which is greater: -4/7 or -5691/4?
-4/7
Which is smaller: -8106 or -72946/9?
-8106
Is 1832 > 1957?
False
Which is smaller: -690/5227 or -0.2?
-0.2
Is 20515 greater than or equal to 20524?
False
Are 20751 and 103754/5 unequal?
True
Which is bigger: 7 or 1230/199?
7
Is -129 at least -2174?
True
Which is greater: -0.1 or 131/445?
131/445
Is -4731 less than or equal to -0.22?
True
Is 24633 >= 0.03?
True
Is 1 smaller than 22/327181?
False
Is -1116/203 equal to -4?
False
Is 2080/119 <= 16?
False
Is -2671 smaller than -2675?
False
Is 19/4233 at least as big as -1?
True
Are 15 and 1003 unequal?
True
Which is smaller: 195441 or -2/3?
-2/3
Is -114876 at most -114872?
True
Which is bigger: -1 or -1/1224962?
-1/1224962
Which is smaller: -2716/1013 or -3?
-3
Which is smaller: -4 or -0.114316?
-4
Which is smaller: -28218 or -28210?
-28218
Do -2/7 and 8.57413 have different values?
True
Which is bigger: -120/7 or -153/8?
-120/7
Is 7/6479 <= 4?
True
Is 71/1977 less than or equal to 1?
True
Which is smaller: 16 or 65?
16
Is -39 greater than -576/433?
False
Which is bigger: -3938 or -60?
-60
Is -101 at most -24?
True
Which is smaller: 0.2 or 74150?
0.2
Which is smaller: -3/2 or 9067?
-3/2
Is -1060175 at most -1060174?
True
Which is greater: 0.762 or 7.91?
7.91
Is 141/5953 greater than or equal to -0.1?
True
Which is smaller: 628 or 40/27?
40/27
Which is smaller: -1136/145 or -7?
-1136/145
Are -8377 and -8619 non-equal?
True
Which is smaller: -135538/5 or -27107?
-135538/5
Is 424 bigger than 4.5?
True
Which is bigger: 2/352387 or -3?
2/352387
Which is smaller: -4662 or -4752?
-4752
Which is smaller: -104768 or -104771?
-104771
Which is smaller: 3239 or 3240?
3239
Which is smaller: 593 or 68298/115?
593
Is -4720 not equal to -4549?
True
Is -79.84 equal to -1/10?
False
Is 1830 not equal to 1847?
True
Which is smaller: -1 or -28.8246?
-28.8246
Which is bigger: 0.1 or -8/86699?
0.1
Which is smaller: 18 or 17170?
18
Is 3022349 greater than 0?
True
Is -331 > -29?
False
Which is smaller: -2/5 or -4241?
-4241
Which is bigger: -6 or -145948?
-6
Which is smaller: 0 or 2/560043?
0
Which is bigger: 106 or 4739/45?
106
Do -193/12 and -5.2 have the same value?
False
Do -30002 and 9 have the same value?
False
Is -1 at least -156/1337?
False
Which is smaller: 186/3043 or -1?
-1
Which is bigger: 0.1 or 8595?
8595
Which is greater: -12.815 or 0.52?
0.52
Are -1 and -4/1736787 nonequal?
True
Are 30542 and 213800/7 unequal?
True
Is 15085/2 at least as big as 7542?
True
Which is smaller: -1498/683 or 0.1?
-1498/683
Is 24168 less than 24167?
False
Is -6/3715 <= -14?
False
Is 56/1023 != -1?
True
Is -141874 less than -141874?
False
Which is smaller: 89036 or 89037?
89036
Which is smaller: -22 or -1565?
-1565
Which is smaller: -161 or 106?
-161
Which is greater: 16041 or 16045?
16045
Which is greater: -1 or 5/340457?
5/340457
Is 353831/6 less than 58973?
True
Which is smaller: -59653 or -1/3?
-59653
Are 4714 and 23574/5 non-equal?
True
Which is smaller: -618970 or -618969?
-618970
Which is greater: -2 or 0.093473?
0.093473
Which is bigger: 43410 or 43408?
43410
Is -11/124 != -1?
True
Is 23748/7 > 3394?
False
Which is smaller: -800/91 or -10?
-10
Which is greater: -11657 or -46629/4?
-11657
Which is greater: 1801342 or 1801344?
1801344
Is -4595 at most as big as -4674?
False
Is 1187230 at least as big as 1187230?
True
Which is bigger: 1 or 346.931?
346.931
Which is greater: 0 or 4/79161?
4/79161
Is 29396 equal to 29388?
False
Which is greater: -0.2018 or 0?
0
Is -4539 less than -4513?
True
Is -31 smaller than -1/622?
True
Are -110145 and -110146 equal?
False
Is -1269/172 <= -0.1?
True
Which is greater: 604 or 510?
604
Is 343114 bigger than 343114?
False
Are 29/311668 and -1 nonequal?
True
Which is smaller: -1427 or -27098/19?
-1427
Which is smaller: -1011 or 25?
-1011
Which is smaller: 4568/51 or 89?
89
Is 0 at most -0.903944?
False
Which is bigger: 148/9 or -15.8? | {
"pile_set_name": "DM Mathematics"
} |
inutes are there between 10:50 AM and 2:04 PM?
194
How many minutes are there between 8:55 PM and 5:32 AM?
517
How many minutes are there between 3:36 PM and 8:13 PM?
277
What is 71 minutes before 2:04 PM?
12:53 PM
How many minutes are there between 12:29 PM and 4:32 PM?
243
What is 42 minutes after 5:43 AM?
6:25 AM
What is 664 minutes before 1:14 PM?
2:10 AM
What is 252 minutes after 6:25 PM?
10:37 PM
What is 317 minutes before 1:31 PM?
8:14 AM
How many minutes are there between 2:39 AM and 7:39 AM?
300
What is 255 minutes before 1:11 PM?
8:56 AM
What is 482 minutes after 9:50 AM?
5:52 PM
How many minutes are there between 6:36 PM and 10:48 PM?
252
What is 41 minutes before 7:21 AM?
6:40 AM
What is 628 minutes before 4:14 AM?
5:46 PM
How many minutes are there between 8:02 PM and 5:30 AM?
568
What is 714 minutes before 9:22 AM?
9:28 PM
What is 708 minutes after 12:19 PM?
12:07 AM
What is 238 minutes before 4:18 AM?
12:20 AM
How many minutes are there between 12:50 PM and 5:45 PM?
295
How many minutes are there between 11:56 AM and 4:22 PM?
266
What is 406 minutes before 2:36 PM?
7:50 AM
What is 2 minutes before 11:42 PM?
11:40 PM
How many minutes are there between 6:09 AM and 7:00 AM?
51
How many minutes are there between 3:23 PM and 6:08 PM?
165
How many minutes are there between 2:16 PM and 7:39 PM?
323
What is 40 minutes after 2:02 AM?
2:42 AM
What is 184 minutes after 7:35 PM?
10:39 PM
What is 374 minutes before 6:15 PM?
12:01 PM
What is 296 minutes before 3:20 PM?
10:24 AM
What is 559 minutes after 1:42 AM?
11:01 AM
How many minutes are there between 5:23 AM and 10:50 AM?
327
How many minutes are there between 2:03 PM and 1:53 AM?
710
How many minutes are there between 1:48 AM and 4:53 AM?
185
What is 89 minutes before 6:58 AM?
5:29 AM
What is 289 minutes before 2:37 AM?
9:48 PM
How many minutes are there between 1:15 AM and 3:21 AM?
126
What is 97 minutes before 2:06 AM?
12:29 AM
How many minutes are there between 7:18 AM and 12:31 PM?
313
What is 2 minutes before 2:50 AM?
2:48 AM
What is 35 minutes after 6:42 AM?
7:17 AM
How many minutes are there between 3:27 PM and 2:48 AM?
681
What is 420 minutes after 4:53 PM?
11:53 PM
What is 309 minutes after 4:40 PM?
9:49 PM
What is 526 minutes before 9:58 AM?
1:12 AM
What is 320 minutes before 6:08 PM?
12:48 PM
What is 414 minutes after 9:08 AM?
4:02 PM
What is 353 minutes before 12:38 AM?
6:45 PM
What is 117 minutes after 12:51 AM?
2:48 AM
How many minutes are there between 12:20 AM and 6:14 AM?
354
What is 627 minutes after 5:42 PM?
4:09 AM
How many minutes are there between 9:56 AM and 8:05 PM?
609
What is 48 minutes before 2:36 AM?
1:48 AM
What is 557 minutes after 7:30 AM?
4:47 PM
What is 520 minutes before 1:03 PM?
4:23 AM
What is 27 minutes before 8:54 AM?
8:27 AM
What is 692 minutes after 4:53 PM?
4:25 AM
How many minutes are there between 8:49 AM and 12:03 PM?
194
How many minutes are there between 1:32 AM and 9:09 AM?
457
How many minutes are there between 12:44 AM and 2:13 AM?
89
What is 341 minutes after 4:04 PM?
9:45 PM
What is 51 minutes before 6:31 PM?
5:40 PM
What is 207 minutes after 3:09 PM?
6:36 PM
What is 468 minutes after 3:56 PM?
11:44 PM
What is 714 minutes before 12:51 PM?
12:57 AM
How many minutes are there between 10:15 PM and 9:52 AM?
697
What is 202 minutes after 5:38 PM?
9:00 PM
What is 462 minutes after 2:20 PM?
10:02 PM
What is 142 minutes after 2:58 AM?
5:20 AM
What is 456 minutes after 7:13 PM?
2:49 AM
What is 655 minutes before 11:19 PM?
12:24 PM
What is 700 minutes after 9:59 PM?
9:39 AM
What is 491 minutes after 11:21 AM?
7:32 PM
How many minutes are there between 11:41 AM and 5:53 PM?
372
How many minutes are there between 8:03 AM and 8:56 AM?
53
What is 82 minutes before 6:22 PM?
5:00 PM
What is 354 minutes after 7:28 PM?
1:22 AM
What is 283 minutes before 7:38 PM?
2:55 PM
What is 317 minutes after 2:53 PM?
8:10 PM
What is 130 minutes before 1:33 AM?
11:23 PM
What is 217 minutes after 6:41 AM?
10:18 AM
What is 304 minutes after 8:16 PM?
1:20 AM
How many minutes are there between 8:08 PM and 2:48 AM?
400
What is 249 minutes after 11:15 PM?
3:24 AM
What is 588 minutes after 7:47 PM?
5:35 AM
What is 373 minutes after 4:04 PM?
10:17 PM
How many minutes are there between 7:26 PM and 8:43 PM?
77
How many minutes are there between 9:36 AM and 2:32 PM?
296
How many minutes are there between 6:31 AM and 5:41 PM?
670
What is 354 minutes before 4:57 PM?
11:03 AM
What is 599 minutes before 2:33 AM?
4:34 PM
How many minutes are there between 7:03 AM and 4:19 PM?
556
How many minutes are there between 9:09 AM and 3:03 PM?
354
How many minutes are there between 3:39 PM and 12:00 AM?
501
How many minutes are there between 6:40 AM and 6:11 PM?
691
How many minutes are there between 9:23 PM and 11:59 PM?
156
What is 323 minutes before 5:15 AM?
11:52 PM
How many minutes are there between 11:53 AM and 7:21 PM?
448
What is 700 minutes before 11:34 AM?
11:54 PM
What is 572 minutes before 6:46 PM?
9:14 AM
What is 394 minutes after 11:28 PM?
6:02 AM
How many minutes are there between 4:33 PM and 4:43 PM?
10
How many minutes are there between 8:53 PM and 11:48 PM?
175
What is 41 minutes after 10:33 PM?
11:14 PM
How many minutes are there between 5:08 PM and 9:42 PM?
274
How many minutes are there between 10:43 PM and 11:54 PM?
71
What is 195 minutes before 9:11 AM?
5:56 AM
What is 404 minutes before 5:01 PM?
10:17 AM
What is 700 minutes before 1:45 PM?
2:05 AM
What is 156 minutes after 2:21 PM?
4:57 PM
How many minutes are there between 4:44 PM and 1:29 AM?
525
How many minutes are there between 12:29 PM and 2:37 PM?
128
How many minutes are there between 9:38 AM and 10:18 AM?
40
What is 432 minutes before 3:57 AM?
8:45 PM
How many minutes are there between 5:37 AM and 2:02 PM?
505
What is 296 minutes after 4:23 PM?
9:19 PM
What is 463 minutes before 8:57 PM?
1:14 PM
What is 586 minutes after 8:21 PM?
6:07 AM
What is 71 minutes after 11:42 PM?
12:53 AM
How many minutes are there between 8:25 AM and 6:06 PM?
581
How many minutes are there between 9:13 AM and 7:24 PM?
611
What is 181 minutes before 6:40 PM?
3:39 PM
What is 576 minutes before 3:54 AM?
6:18 PM
How many minutes are there between 11:21 PM and 6:59 AM?
458
What is 360 minutes before 7:42 AM?
1:42 AM
What is 398 minutes after 7:50 AM?
2:28 PM
What is 667 minutes after 10:27 AM?
9:34 PM
What is 185 minutes before 8:59 PM?
5:54 PM
What is 439 minutes before 9:47 PM?
2:28 PM
What is 439 minutes before 2:08 PM?
6:49 AM
How many minutes are there between 8:49 AM and 10:20 AM?
91
What is 184 minutes after 7:41 AM?
10:45 AM
How many minutes are there between 6:14 AM and 7:21 AM?
67
What is 302 minutes after 4:30 AM?
9:32 AM
What is 470 minutes after 11:06 AM?
6:56 PM
What is 320 minutes before 11:29 PM?
6:09 PM
How many minutes are there between 2:12 PM and 7:54 PM?
342
What is 421 minutes before 11:22 PM?
4:21 PM
What is 305 minutes after 6:32 AM?
11:37 AM
What is 416 minutes after 12:42 PM?
7:38 PM
How many minutes are there between 6:56 PM and 7:59 PM?
63
How many minutes are there between 2:05 AM and 4:33 AM?
148
What is 617 minutes after 9:42 PM?
7:59 AM
What is 238 minutes before 2:00 AM?
10:02 PM
What is 185 minutes after 4:19 AM?
7:24 AM
How many minutes are there between 8:52 AM and 12:06 PM?
194
What is 322 minutes before 11:06 PM?
5:44 PM
How many minutes are there between 5:32 AM and 12:12 PM?
400
How many minutes are there between 2:49 AM and 10:42 AM?
473
What is 238 minutes before 3:56 PM?
11:58 AM
How many minutes are there between 2:57 PM and 2:12 AM?
675
How many minutes are there between 4:25 AM and 8:59 AM?
274
How many minutes are there between 4:39 PM and 12:04 AM?
445
What is 25 minutes after 11:06 PM?
11:31 PM
What is 630 minutes before 11:01 AM?
12:31 AM
How many minutes are there between 1:19 PM and 10:51 PM?
572
How many minutes are there between 8:38 PM and 12:00 AM?
202
How many minutes are there between 8:18 PM and 11:09 PM?
171
What is 552 minutes before 12:53 AM?
3:41 PM
How many minutes are there between 5:12 AM and 2:32 PM?
560
How many minutes are there between 10:32 AM and 2:28 PM?
236
What is 582 minutes before 1:30 PM?
3:48 AM
How many minutes are there between 5:54 AM and 7:22 AM?
88
Wh | {
"pile_set_name": "DM Mathematics"
} |
97535 = 3*u. Is u a prime number?
False
Let c(k) = -236*k**3 - 3*k**2 - 2*k. Suppose -13*v + 2 - 15 = 0. Let b be c(v). Let s = b - -750. Is s composite?
True
Let q = -165 - -650. Suppose 5*o + 865 = a + a, 3*a - 15 = 0. Let r = q + o. Is r a composite number?
True
Suppose -s - 3*d = -29, 4*s = 7*s - d - 37. Let z(x) = -13 + 20 - s*x + 10*x. Is z(-10) a prime number?
True
Suppose 11*z - 219307 = 4507 + 283649. Is z prime?
True
Let a = -3117 - -9966. Suppose 4*r - 3*r - a = -5*f, 3*r = f - 1357. Is f composite?
True
Suppose 0 = 5*x - c - 17700, 4*x - 7861 = -5*c + 6328. Is x composite?
False
Suppose -459*z + 456*z - 4*h = -1131365, 0 = 4*h - 8. Is z prime?
False
Suppose -5*m = -4*s - 910, -5*s + 659 = 4*m - 28. Suppose -2*w - 534 = -3*l + w, l + 4*w - m = 0. Suppose 365 = 3*t - l. Is t a composite number?
False
Suppose -r = -9336 + 1325. Suppose -4*i + 3837 = -r. Suppose -4*u + 2*u + i = 0. Is u prime?
True
Let c = 1225272 - -143807. Is c prime?
False
Suppose 142*q = 5751248 + 9548907 + 30358667. Is q prime?
False
Suppose 4*l - 1205997 = -7*c, l = 10*c - 6*c + 301459. Is l composite?
False
Is 12 - (-131531 - (-6 - -8)) composite?
True
Let i = -87 + 78. Let p = i + 11. Suppose 647 = j - 4*z, 5*j + p*z - 3151 = z. Is j a composite number?
False
Let f be ((-4)/3)/((-1)/(-3)) + 74. Suppose -4*g - f = -14*g. Suppose 0 = 9*s - g*s - 4604. Is s a prime number?
False
Suppose p = 5*y - 217508 + 1012129, 4*p + 5*y = 3178584. Is p a composite number?
False
Let x = -344745 + 2140862. Is x a composite number?
True
Let r(n) = 13 + 92*n + 16*n**2 - 81*n - 45. Let o be r(18). Suppose 4*p = y + y - o, 2699 = y + 4*p. Is y a prime number?
True
Let m = 141 - 12. Let h = -124 + m. Suppose 0 = -0*q - q + 5*i + 3783, -h*q + 18973 = 4*i. Is q prime?
True
Let n = -48 + 62. Let s(u) = -u**3 + 13*u**2 + 16*u - 21. Let b be s(n). Suppose b*h - 2*h = -m + 2169, -3*m + 2*h = -6473. Is m a composite number?
True
Suppose -i + 0*i + 26 = -2*k, -k + 4*i - 27 = 0. Let j be (10/50 - k/(-5))/(-2). Let a(s) = 381*s**3 - 2*s**2 + s + 1. Is a(j) composite?
True
Suppose -47*q = q - 3854832. Is q a prime number?
True
Let b(s) = 5*s**2 - 14*s + 12*s + 11*s + 10 - 3*s**3. Let n be b(-3). Suppose 3*k - 868 = -n. Is k prime?
False
Let f be 2/6 + 23/(-69). Suppose -2*r + 2 = 2*i, -4*i + r + f = 11. Is ((-2213)/i)/((-1)/(-2)) composite?
False
Let h be (1/(4/24*-2))/(-1). Suppose 1273 = h*r - 4337. Let b = r + -903. Is b a composite number?
False
Let o(s) = 84*s + 17. Let y = -31 + 98. Let w = 73 - y. Is o(w) composite?
False
Suppose 3*s - 471*v - 88245 = -474*v, -2*v = -8. Is s prime?
True
Let a be (1221/(-2))/((-5)/(-8) - 1). Suppose -a = d - 5*d. Is d a composite number?
True
Let y = 38029 + -630. Is y prime?
False
Suppose 5*j = -5*h + 1762975, -2170321 = -5*h - 3*j - 407334. Is h a prime number?
True
Suppose -10 = -2*r, 5*r = t + 2 + 18. Suppose -3*o - t*q + 8743 = 0, 12*q = 5*o + 8*q - 14510. Is o a prime number?
False
Let j(k) = -k**3 + 4*k**2 + k - 1. Let n be j(4). Suppose -10893 = -5*d + 4*s, n*d - s = 2*d + 2178. Is d a composite number?
True
Let z(t) = -4*t**3 + 2 + t**2 + 30*t**3 + 4*t - 5*t**2 + 0. Let i be z(5). Let f = -2193 + i. Is f a prime number?
False
Let g be 1*(-15)/(-1) + -5. Suppose 302 = g*v + 52. Suppose 2495 = v*c - 20*c. Is c a prime number?
True
Let d(k) = 0*k**2 + k**2 + 3*k + 4 - 5 + 4*k**2. Let r = -91 + 92. Is d(r) a prime number?
True
Let u = 133996 + 672409. Is u prime?
False
Suppose 32*v = 28*v + 204. Suppose -50*p = -v*p - 5. Is (-37)/p + (-4)/10 a prime number?
True
Let l be (-7 + -9)/((-2)/52). Suppose -2*n = -u + 1191, 5*u = 4*n + 5569 + l. Suppose 6*c + 91 - u = 0. Is c composite?
True
Let i(c) = -4*c - 78. Let y be i(-20). Suppose -y*g + 13817 = -3*n, 0 = 3*n - 12 + 3. Is g a composite number?
True
Suppose 2*r = -5*d + 58, 2*r + 2*r + 4*d - 104 = 0. Is (-2380)/(-6) + 8/r composite?
False
Let i(z) = -12119*z**3 + 18*z**2 + 36*z - 3. Is i(-2) prime?
False
Let s be (-2 + -2 + -1)*27/(-15). Is 4165/s - ((-20)/9 - -2) composite?
False
Suppose -6*q + 9*q - 24 = -3*h, -26 = -3*q - 4*h. Let c(f) = 128*f - 60. Let l be c(q). Suppose l + 34 = 2*w. Is w composite?
True
Let t be (-20)/(-4) - (4 + -3). Suppose 2*g = g + 3. Suppose -g*p = 5*u - 3*u - 5665, 0 = u + t*p - 2835. Is u a composite number?
True
Suppose -4*g = -0*n + 4*n + 55920, -41920 = 3*n - g. Let q = n - -20496. Is q a composite number?
False
Is (-8 - -9)/(11/2484427) composite?
True
Suppose -20*x + 4 = -18*x. Is x*((-7990)/(-4) + -3) a composite number?
False
Is 18/6 + 13928 - (6 + -4) a prime number?
False
Let j be (4/(-3))/((-14)/84). Is (7 - -23 - j)*223/2 a prime number?
False
Let v = 898 + -503. Suppose 0 = -4*z + 20, -x + 5*z = 6*z + v. Let d = x - -782. Is d a composite number?
True
Suppose -47 = -4*o - 143. Is 4*(-57306)/o - 0 a prime number?
True
Suppose -12 - 45 = -19*o. Suppose -o*g + 2522 = -9109. Is g prime?
True
Let l(w) = 615*w - 8. Suppose -16*k + 13*k = -45. Is l(k) a composite number?
True
Let j = 22534 + 6589. Is j a prime number?
True
Let u(o) be the second derivative of o**4/12 + o**3 - 11*o**2 - o + 287. Let s(p) = p**3 + 4*p**2 + 5*p - 1. Let w be s(-4). Is u(w) a prime number?
True
Suppose -16*l = -12*l - 24. Is -2922*((-44)/(-8) - l) prime?
False
Suppose 1681 + 6124 = 7*k. Suppose k = -4*l + 3279. Is l a prime number?
True
Let h be 2/9 + 129/27. Let f be 3/(-1) - -6 - -460. Suppose k - f = -3*y - 81, 2*k - 637 = -h*y. Is y composite?
False
Let h be -5*(-12)/80*-4. Let q be (-635)/(-3 + 4)*h/3. Suppose 3*d - 2818 - q = 0. Is d a prime number?
True
Suppose 2*n - 15 = -3*x, 3*n - 2*n = 0. Let d be 9/x*380/57. Suppose d*t - 220 = 8*t. Is t prime?
False
Suppose -117*z = -112*z. Let d be z - (1 - 3) - -3. Suppose 4*v - r - 4621 = 0, -3*v + r = d*r - 3442. Is v composite?
True
Let r(p) = 284469*p**2 + 299*p + 591. Is r(-2) a prime number?
True
Suppose n - 9 - 10 = 0. Let g = -15 + n. Is g/24*2*4683 prime?
False
Let y be (-7 + -7)*(-180)/14. Let p be (-24)/y + 2/15. Suppose 5*x = -4*g + 7203, -2*x + g = -p - 2876. Is x a prime number?
True
Let o be 5/2*(11/(-5) - -3). Let w(t) = 809*t**3 + 10*t**2 - 22*t - 1. Is w(o) a composite number?
True
Let y be (1 + -21)*42*(-8)/16. Suppose 297 + y = q. Is q prime?
False
Suppose 4*n = -4*t + 32, -5*t + 2*n = n - 10. Let j be 2*t*(-17)/(-6). Suppose -j*p + 13*p + 820 = 0. Is p prime?
False
Let v(z) = -z + 19. Let d be v(9). Suppose -3*o = 10 - d. Suppose 2*l - b = -l + 2659, o = 5*l + 5*b - 4445. Is l a prime number?
True
Is 21/9*(-29683296)/(-672) a composite number?
False
Let r = -688404 + 1258211. Is r prime?
False
Let w(m) = -3*m**3 + 20*m**2 + 10*m + 9. Let n(g) = -g**3 + 10*g**2 + 5*g + 5. Let z(d) = 5*n(d) - 2*w(d). Is z(6) composite?
False
Suppose 2*c - x - 383 = 0, 0 = x - 3*x + 6. Let f = 404 - c. Is f prime?
True
Let w(t) = 13*t**2 + t - 19. Let y(d) = -d**2 - 6. Let u(f) = -3*f**2 - 17. Let a(z) = -6*u(z) + 17*y(z). Let p(n) = -6*a(n) + w(n). Is p(8) a prime number?
False
Suppose 4*l + 2847 - 292 = 117599. Is l prime?
False
Suppose -1719 = -a - 5*i, 25*a - i + 1739 = 26*a. Let l = a + -1010. Is l a prime number?
False
Let w be 2 - 1*6 - (-24 + 4). Suppose 3*q + 5*l = 3527, 4*l + 0*l = w. Is q a composite number?
True
Is ((-14)/4)/((-4914)/900965052) composite?
False
Let l(a) = -13086*a + 1927. Is l(-9) a composite number?
False
Let w(y) = 1 - 1 + 3 + 53*y**2 - 8*y. Let m be w(6). Suppose m = 4*v + 2*c - 4371, 20 = -4*c. Is v composite?
True
Let j = -35561 - -652908. Is j a prime number?
False
Suppose 2*q + 3*t - 521405 = 0, -1160641 = -6*q + 4*t + 403665. Is q a prime number?
True
Let x be 49995/(-6) + -1 + (-3)/6. Let s = x + 14767. Is s composite?
True
Is ((-105)/(-280))/(7/20552) prime?
False
Let y be 273/52 - 10/8. Suppose 6*l - 3*u = 2*l + 61816, -y*u = -5*l + 77271. Is l a prime number?
True
Let j = 57 - 28. Is j/116 - 158*45/(-8) composite?
True
Let y be (-1*17)/(-10 - (-120351)/12034). Let h = y - -35087. Is h a composite number?
True
Let h be (-11144)/(-3) + (-1)/(-3). Suppose -w + 9 - 4 = 5*q, -q - 4*w = 18. Suppose -3*m + h = q*m. Is m prime?
True
Let g(z) = 73*z**2 - 8*z + 14. Let s = -206 - -199. Is g(s) prime?
False
Suppose 66966 = -n + 293839. Is n a prime number?
False
Suppose 4*r + 6 = 7*r. Suppose -4*t + f = | {
"pile_set_name": "DM Mathematics"
} |
*2
Expand 0*g + 3*g - 4*g + (1 - 1 + 6)*(-2*g + g - 2*g) + 3*g + 0*g + 3*g.
-13*g
Expand (-f + f + 2*f)*(2*f**2 + 0*f**2 - 4*f**2) - f**3 + f**3 - 2*f**3 + (9*f**3 + 7*f**3 - 5*f**3)*(-1 + 1 + 1).
5*f**3
Expand -3*t**2 + 3*t**2 - 2*t**4 + t**4 + 0*t**4 + 5*t**4 + (-4*t**3 + 3*t**3 + 2*t**3)*(-2 + t + 2).
5*t**4
Expand (1 - 3 + 1)*(-96 - 10*p + 96)*(-1 + 1 + 1).
10*p
Expand (-i**2 - 2*i**2 - i**2)*(27 - 27 + 3*i)*(1 - 3*i - 1).
36*i**4
Expand (-2*i + 11 + i - 9)*(-1 - i**4 + 3 + 0*i**4).
i**5 - 2*i**4 - 2*i + 4
Expand (-4 + 2 + 0)*(0*q + 5*q - 3*q)*((-3*q + 0*q - q)*(-4*q + 2*q + q) - q**2 + 5*q**2 - q**2).
-28*q**3
Expand (6*y**2 - 8 + 8 + y)*(2 - 3 - 2).
-18*y**2 - 3*y
Expand (-3*i**2 + 4*i**2 - 2*i**2)*(3*i + 0*i - 5*i) + (4*i - i - 4*i)*(-5*i + 5*i - 2*i**2).
4*i**3
Expand (r + 3 - 3)*(-1 - 4 + 12 + 4 + 0 - 2 + (0 - 1 - 1)*(2 - 5 + 2)).
11*r
Expand 4*r**4 + 14*r - 14*r + (-3 + 1 + 1)*(0 + r**4 + 0) + 0*r**4 + 0*r**4 - r**4.
2*r**4
Expand (-4*a + 24 + 3*a + 0*a)*(-2*a + 1 - 1).
2*a**2 - 48*a
Expand (-1 + 1 - h)*(-3 + 2 + 3)*(3*h**4 - h**4 - 4*h**4).
4*h**5
Expand (7 - 2 + 1)*(-2 - 5*d + 0 + 3*d).
-12*d - 12
Expand (-9 + 9 + x)*(-2 + 2 + 1) + x + 2*x - 2*x - x + 4 - 4 + 3*x - 5*x + 3*x + (-5 + 3 + 3)*(0*x - 3*x + 5*x) - x + 0*x + 0*x - 4*x + x + 4*x.
4*x
Expand (1 - 5 + 2)*(-2*y**4 - 4*y**4 + 2*y**4) + 3*y - 2*y**4 + 0*y**4 - 4*y.
6*y**4 - y
Expand (26 + 2 - 15)*(4*h**5 - 3*h**4 + 3*h**4).
52*h**5
Expand (-3 + 2 + 23)*(0 - p + 0)*(-2 + 4 + 0)*(0*p + 3*p - 4*p).
44*p**2
Expand (-3 + 5 + 0 + 2*l**2)*(-1 - 79 + 3).
-154*l**2 - 154
Expand (0*m - 3*m + m)*(-2 + 3 + 0) - 7*m - m + 6*m.
-4*m
Expand 2*i - 2*i - 11*i - 2*i + 0 + 0 + (-3 - 3 + 4)*(i + 2*i - 2*i) + 1 - 1 - i + (-i + 3*i - i)*(-6 + 4 + 0).
-18*i
Expand (6*f - 6*f + 3*f**3)*(1 - 1 + 2 + 3 + 1 + 2 + (-4 + 3 + 2)*(-6 + 3 + 2)).
21*f**3
Expand (0*z**2 + z - 2*z**2 + 0*z)*(10 + 6 + 4).
-40*z**2 + 20*z
Expand (3 - 3 - m**2)*(-3*m + 3*m - 2*m) + 1 - 1 + 2*m**3 - m + m**3 + m + 5*m**3 - m**3 - m**3 + 2*m**3 - 2 + 2.
10*m**3
Expand (5 + 0 - 6)*(2*y**2 - 4*y**2 + 4*y**2) + 0*y - 2*y**2 + 0*y.
-4*y**2
Expand (-4 + 3*j + 4)*(j - 2*j + 2*j) + (-4 + 4 - j)*(2*j - 5*j + j).
5*j**2
Expand -5*h - 2*h + 0*h + (0 + 0 + 2*h)*(-1 + 0 + 0) + 3*h - h - 4*h + 2*h + 3 - 3.
-9*h
Expand (-2*r**2 - 4*r + 4*r)*(-2*r + 2*r - r**2 + (1 - 3 + 0)*(0*r**2 + 3*r**2 - 2*r**2) - r + r + 2*r**2).
2*r**4
Expand (1 + 6 - 2)*(-2*m - m + 0*m)*(5*m**2 - m**2 - m**2).
-45*m**3
Expand (-5*y**3 + 4*y**3 + 0*y**3)*(12 - 7*y**2 - 3 + 5*y**2).
2*y**5 - 9*y**3
Expand -5*h**4 + 0*h**4 + 4*h**4 + (4 - 4 + h)*(-3*h**3 + 5*h**3 - 3*h**3) + (-h + 4 + 9 + 5)*(4*h**3 + 5*h**3 - 5*h**3).
-6*h**4 + 72*h**3
Expand 4 + w - 4 + w - 5*w + 2*w + (w + 0*w + w)*(-2 - 1 + 1) - 1 + 1 - w + 24 + w - 24 - 2*w + 3*w + 2 - 3*w.
-7*w + 2
Expand -2 + 2 + 5*k**2 + (4*k - 4*k + k**2)*(0 + 6 - 3).
8*k**2
Expand ((1 - 4 + 1)*(4 + 0 - 5) + 3 + 0 - 5 + (-4 + 1 + 2)*(4 - 3 - 3))*(3*z - 5*z + 3*z).
2*z
Expand -9*p**4 - 7 + 7 + 3*p**4 + 4*p - 4*p + (1 + 3 - 5)*(3*p**4 - 2*p**4 - 2*p**4).
-5*p**4
Expand 3*o**3 + 2*o**3 - 2*o**3 + (2 - 1 + 1)*(4*o**3 - 5*o**3 - o**3) + (-1 + 1 + 2*o**2)*(o - 1 + 1) + 1 + o**3 - 1.
2*o**3
Expand (2*c + 2*c - 3*c)*(-1 + 0 + 2) + (-2 + 1 - 1)*(c - 3*c + c) - 3*c + 2*c + 2*c + c - c + 2*c.
6*c
Expand 0*i**3 - 2*i**3 + i**3 + (i**2 + 0*i**2 + i**2)*(-2 + 2 - i) - 2*i**2 - 18*i**3 - 13*i**3 + i + 35*i**3.
i**3 - 2*i**2 + i
Expand (3*x**2 - 3*x**2 - x**3)*(2*x + 0*x + 0*x - 2 - 2*x + 2 + (-1 + 1 + 2*x)*(-1 - 1 + 1)).
2*x**4
Expand (u + 0 + 0)*(-u + 3*u - 3*u)*(1 - 2 + 2).
-u**2
Expand 2*x**2 - x**2 - 2*x**2 + 3*x**2 - 3*x**2 - x**2 + (-3*x**2 + 0*x**2 + 4*x**2)*(-2 + 0 + 0) + (-5*x - 15 + 15)*(-4*x + 0*x + 5*x).
-9*x**2
Expand (-x + 4*x + 2*x)*(-x**2 - 2*x + 2*x**2 - 5*x**3 - 7*x**3).
-60*x**4 + 5*x**3 - 10*x**2
Expand (0*l**3 + 2*l**3 - 4*l**3)*(-8*l + 8*l - 3*l**2) + 3*l**3 + 5*l**5 - 3*l**3.
11*l**5
Expand (c - 3*c + 3*c)*(3*c + 2*c - 3*c) + (-c - 2*c + 4*c)*(-c - 1 + 1).
c**2
Expand -4*m**3 - 2*m - 13*m**3 + 15*m**3 + 3*m**4 + (0*m**3 + m**3 + 2*m**3)*(3*m + 0*m - m).
9*m**4 - 2*m**3 - 2*m
Expand (-4*a + 3*a + 2*a)*((-2 + 6 - 2)*(-3 + 1 + 3) + 1 + 0 + 0 - 3 + 0 - 2).
-2*a
Expand 3*k**2 - k**3 - 3*k**2 - 2*k + 2*k**3 + 2*k + (-6*k + 6*k - 15*k)*(2*k**2 - 2*k**2 + k**2).
-14*k**3
Expand (-4*u + 3*u - 2*u + (-4*u + 0*u + 2*u)*(0 - 1 + 4))*(0*u - 4*u + u).
27*u**2
Expand (-3 + 3 + 1)*(-9*t + 21*t - 7*t + 1).
5*t + 1
Expand (j + 1 + 3*j - 5*j)*(5*j + 7*j - 3*j).
-9*j**2 + 9*j
Expand 1 + k - 1 + (3 - 5 - 4)*(-4*k + 4*k + 3*k).
-17*k
Expand (13 + 12 - 41 - 3*d)*(2*d**2 + 3*d**2 - 4*d**2)*(2*d**2 - 1 + 1).
-6*d**5 - 32*d**4
Expand (1 - 1 - 4)*(-4 + 5 + 0 - 4*n**3).
16*n**3 - 4
Expand (-2*w + 4*w - 4*w)*(-3 + 2 - 1) + w - 2*w + 0*w - 132*w - 103*w + 189*w + (w + 2*w - w)*(-3 + 6 - 2).
-41*w
Expand (8*j + 7*j - 7*j - 1 + (1 - 3 + 4)*(2*j - 3*j + 2*j))*(13 - 13 + 5*j).
50*j**2 - 5*j
Expand (0*v + 2*v + 0*v)*(3*v**2 - 5*v**2 + 4*v**2) + v**3 + 4*v**3 - 3*v**3.
6*v**3
Expand ((d**2 - 2*d**2 + 3*d**2)*(-1 + 1 - 2*d) - 11*d**2 - 9*d**3 + 11*d**2)*(-5 + 2*d + 5).
-26*d**4
Expand (3 - 3 + 2*u**2)*((3 - 3 - 3)*(-u + 3 - 3) - 3 + 3 + u) + 4*u**3 + u**3 + 0*u**3 + (-u**2 + u**2 + u**2)*(0*u + u + u).
15*u**3
Expand (b**3 - b**3 - 2*b**5)*(-1 + 2 - 2)*(-1 - 1 - 4).
-12*b**5
Expand (2 + 4 - 4)*((3*v - v - 4*v)*(4 - 2 + 0) + 0 + 0 - 2*v - 5 + 5 - v).
-14*v
Expand -m**5 - 2*m**2 + 2*m - m + m**2 + (2*m - 2*m + 2*m)*(-6*m**4 - 14*m + 14*m).
-13*m**5 - m**2 + m
Expand (5*i - 5*i + 3*i**2)*(-3*i + 6*i - 2*i)*(4*i + 0*i - 2*i)*(2 - 3 + 6).
30*i**4
Expand -2*u + 0*u + 3*u - 11 + 11 - 9*u + (5 - 5 + 1)*(-2*u + u + 3*u).
-6*u
Expand (-3*m**2 + 3*m**2 + m**2)*(3*m - 3*m - m**3) + 2*m**2 - 13*m**2 - 9*m**5 + 9*m**2.
-10*m**5 - 2*m**2
Expand 1 + 2*p - 1 + (p - p - 2*p)*(2 + 0 - 1) + 0 - p + 0 + (0*p + 0*p - 2*p)*(6 - 1 + 3).
-17*p
Expand (-7*i + 7*i + 4*i**2)*(-3 - 1 + 5)*(-3 + 3 - 4).
-16*i**2
Expand -3 + 3 - k**4 + (-2*k + k - k)*(-5*k**3 + 8*k**3 - 2*k**3).
-3*k**4
Expand -j**3 - j**5 + j**3 + j**5 + 4 - 4 + (j**4 - 5*j**4 + 5*j**4)*(2 - 2 + 2*j) + 0*j**5 - j**5 + 0*j**5 - 43*j**3 + 43*j**3 + 2*j**5.
3*j**5
Expand -d + 0*d + 0*d + d + 2*d + 3*d + (-6 + 0 + 4)*(d + 3 - 3).
3*d
Expand (2*n**2 - 4*n**2 + 3*n**2)*(-1 + 0 - 3).
-4*n**2
Expand (-2 + 25 + 5)*(2*t**3 - t**3 + 4*t - 3*t).
28*t**3 + 28*t
Expand (j**2 + 3 - 3)*(-2*j - j + 2*j) + 2*j**3 - 4 + 4 + (0*j**2 - j**2 - 2*j**2)*(j + j + j).
-8*j**3
Expand -1 + 1 + j + (-3 - 3 + 5 + (6 - 5 + 0)*(1 - 2 + 0))*(1 + 3*j - 1) + 2*j - 3*j - 2*j.
-8*j
Expand (-2*v**2 + 0 + 0 + (4*v - v - v)*(0*v + 2*v - 9*v))*(4*v - 4*v - v**3).
16*v**5
Expand 8 - 6*d - 8 + (-5 + 1 + 5)*(3*d - 3*d + 2*d) + (5*d - d - 2*d)*(1 - 3 + 0).
-8*d
Expand -2*c - c**3 + 2*c**3 + 2*c**3 + 2*c**3 + 4*c**3 - 4*c**3 + (2*c - 2*c + 3*c**2)*(c + 0*c + 0*c).
8*c**3 - 2*c
Expand (2 - 2*c - 2)*(14*c**3 - 19*c**3 - 11*c**3)*(3*c + c - 5*c).
-32*c**5
Expand -4*g**3 + 0 + 0 + g - 2 + 2 - g**3 + (-2 + 1 - 1)*(g**3 + 0*g**3 + 0*g**3).
-7*g**3 + g
Expand -5*q**5 - 6*q**5 + 4*q**5 + (-3 + 3 - 2*q**4)*(-q + q + q) + 4*q**5 - 2*q**5 - 4*q**5 + 0*q**5 + 4*q**5 - 2*q**5 + 3*q**5 - 3*q**5 - 2*q**5.
-11*q**5
Expand 2 - 6 - 1 + w + (-5*w + 3*w - w)*(-4 - 1 + 3).
7*w - 5
Expand (0*s**4 - 4*s**4 + 0*s**4)*(1 - 5 + 3)*(1 + 5 - 10).
-16*s**4
Expand (o + 3*o - 3*o)*((-1 + 1 - 2)*(-2 + 3 + 1) - 2 - 4 + 5).
-5*o
Expand -6*q**5 + 2*q**3 - 2*q**3 + (-q**4 - 1 + 1)*(-3*q - 2*q + 3*q + (q + 0*q + 0*q)*(-2 + 4 - 1)).
-5*q**5
Expand (96 - 1 + 65 - 37)*(s - 2*s + 2*s).
123*s
Expand (-2*i - 20 + 7 + 12)*(0 - 2*i**3 + 0).
4*i**4 + 2*i**3
Expand (0 + 0 - 2*z + z + 2*z - 5*z + (-1 + 1 - 1)*(-7*z + 2*z - 4*z) - 2*z + z - z)*(-z**3 + z - z).
-3*z**4
Expand (2*x**2 - 2*x**2 - x**2)*(0 - 1 - 1) - x**2 + 0*x**2 - 3*x**2.
-2*x**2
Expand (3*n - 3*n + n)*(2 + 18 - 9).
11*n
Expand (-1 + 0 - 1)*(-2*d**3 + 0*d**3 + 0*d**3).
4*d**3
Expand (-1 - 3 + 2)*(-2*a - 3 + 3) + 2*a + 0*a - 3*a - 3*a + 4*a + a + 950 - 950 - 65*a.
-60*a
Expand (-2*p**2 - 5*p**2 + 5*p**2)*(-2 + 2 - 2) - p**2 - 2*p**2 + 4*p**2 + 0*p + 0*p - 2*p**2 - 2*p + 5*p**2 + 2*p + (0 - 2 + 4)*(-p**2 - p**2 + 4*p**2).
12*p**2
Expand -2*m - 5 + 3 + 0*m + 3*m + 2*m - 7*m + (-4 + 1 + 2)*(-3*m + m + 3*m).
-5*m - 2
Expand (6*r**3 - 3*r**3 - 2*r**3)*(3 | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of 2514287*q**2 + 12208300*q?
5028574
What is the third derivative of -4334*c**4 + 96*c**3 + 14*c**2 - 439644?
-104016*c + 576
Find the second derivative of -1224*m**2*y**3 - 36808*m**2*y - 3*m**2 + 5*m*y**3 + 9131*m*y + 107*y**3 wrt m.
-2448*y**3 - 73616*y - 6
Find the third derivative of -142869582*p**3*y**2 + 2*p**2*y**2 - 256305775*p**2*y wrt p.
-857217492*y**2
What is the second derivative of -9454506*s**2 - 32418269*s wrt s?
-18909012
Find the third derivative of -57*p**2*q**5 + 325002*p**2*q**3 + p**2*q**2 - 3*q**2 - 1827788*q wrt q.
-3420*p**2*q**2 + 1950012*p**2
Find the second derivative of 2*j**3 - 1049451*j**2 + 29*j + 511180 wrt j.
12*j - 2098902
Find the third derivative of -13029118*f**5 + 8018979*f**2.
-781747080*f**2
What is the second derivative of 1139788*b**2*v**3*z - 230*b**2*v*z - 2*b**2*v - b**2*z + 6*b*v**3*z + 3*v + 1688*z wrt v?
6838728*b**2*v*z + 36*b*v*z
Find the third derivative of -19934456*m**3 - 2*m**2 + 3980*m + 81 wrt m.
-119606736
Differentiate 395527731*n**2 - 131604414 wrt n.
791055462*n
Find the third derivative of 12305884*x**3 - 62*x**2 + 8423*x - 2 wrt x.
73835304
What is the third derivative of 6361161*z**6 + 3*z**2 + 10784*z - 650?
763339320*z**3
Find the second derivative of k**2*y + 156903914*k**2 - 755639*k*y + 66*k wrt k.
2*y + 313807828
What is the second derivative of 81048*r**3 + 75*r**2 - 2*r + 121860342 wrt r?
486288*r + 150
What is the second derivative of -929054*o**2*t**3 - o*t**3 - 54*o*t**2 + 2*o*t + o - 71*t**2 - 1 wrt o?
-1858108*t**3
What is the third derivative of -459*m**6 - 664*m**4 + 4*m**3 + 5*m**2 + 1208890*m?
-55080*m**3 - 15936*m + 24
Find the third derivative of 8375316*l**3*o**3 + 1609*l**2 - o**3 + 90 wrt l.
50251896*o**3
What is the first derivative of -5032*u**3 - 100*u**2 + 10653884?
-15096*u**2 - 200*u
Differentiate 2*s**3 + 6*s**2 + 471290*s - 115586413 wrt s.
6*s**2 + 12*s + 471290
Differentiate 20*d**4 - 3772*d**2 - 13*d - 35573499 wrt d.
80*d**3 - 7544*d - 13
What is the second derivative of 8618*g**4 + 3*g**2*n**3 + 1446*g**2 - 14*g*n**2 + 24*g + 9377*n**3 wrt g?
103416*g**2 + 6*n**3 + 2892
Find the third derivative of 115773861*s**5 + 345426045*s**2 wrt s.
6946431660*s**2
Find the third derivative of 325507172*v**4 + 199973*v**2 + 150*v - 4.
7812172128*v
What is the third derivative of -859*j**3*z + 3770*j**3 + 9*j**2*z + 2*j**2 + 4731*j*z - 5*z + 2 wrt j?
-5154*z + 22620
Find the third derivative of -1671748*q**3 + 5000*q**2 + 5*q - 27 wrt q.
-10030488
Find the second derivative of 69*s**5 - 2*s**4 + 18725*s**3 + 20569261*s.
1380*s**3 - 24*s**2 + 112350*s
Find the first derivative of -11*j**2*k + j**2 + 54214*j*k + 4328956*k wrt j.
-22*j*k + 2*j + 54214*k
What is the third derivative of -13*r**3*t**3 - 400355*r**3*t**2 - 15*r**2*t**2 - 5*r**2 - t**3 + t**2 wrt r?
-78*t**3 - 2402130*t**2
Differentiate -451399059*z**3 + 541896323 with respect to z.
-1354197177*z**2
Differentiate 4*l**3*t**2 + 3*l**3 + 4*l**2 + l + 1263559*t**2 + 711 with respect to t.
8*l**3*t + 2527118*t
Find the second derivative of -70431*u**5 + 85*u**2 + 8665401*u.
-1408620*u**3 + 170
Find the third derivative of -10071*i**4 - 746*i**3 + 803*i**2 + 5523*i wrt i.
-241704*i - 4476
What is the derivative of -481727084*m**2 + 381895655?
-963454168*m
Differentiate -15787774*k - 3237679 with respect to k.
-15787774
What is the first derivative of 7379*h**2*l**2 - 412*h**2*l*z + 207*h**2 - 6320*h*l**2*z wrt z?
-412*h**2*l - 6320*h*l**2
What is the third derivative of -4*p**2*s**3 + 5*p**2*s + 4*p**2 - 6718481*p*s**4 + 63*p*s - 11*p + 4*s**2 - 2*s wrt s?
-24*p**2 - 161243544*p*s
What is the second derivative of 24003471*m**2 - 35034195*m wrt m?
48006942
Find the second derivative of -176088651*x**2 - x - 21405693.
-352177302
Find the third derivative of 4565437*w**3 + 802035*w**2 wrt w.
27392622
What is the derivative of 148544*m**3 + 2*m**2 + 3*m - 6903472?
445632*m**2 + 4*m + 3
What is the second derivative of 101190061*d**4 - 154549812*d wrt d?
1214280732*d**2
Differentiate 31*u*x**2 + 3137361*u*y**3 + 560*x**2*y**3 + 2*x**2*y**2 + 2*x**2*y + 33*x*y**3 - x*y**2 + 187*y**2 wrt u.
31*x**2 + 3137361*y**3
Find the second derivative of 1551*p**3 - 479*p**2 - 39*p + 47708 wrt p.
9306*p - 958
What is the second derivative of -52615142*d**3 - 70633646*d wrt d?
-315690852*d
Find the second derivative of 5344478*y**3 - 18981859*y wrt y.
32066868*y
What is the derivative of -2324291*g**3 - 12*g + 974435062 wrt g?
-6972873*g**2 - 12
What is the third derivative of -4265283*q**3 - 49592339*q**2?
-25591698
What is the second derivative of 7*d**4 + 72785*d**3 + 6*d**2 + 3397*d + 19736?
84*d**2 + 436710*d + 12
What is the third derivative of 1454*c*h**3 - c*h**2 - 3*c + 897*h**3 - 52*h**2 - 2248*h wrt h?
8724*c + 5382
Differentiate 1690*d**3 + 568*d - 17604863.
5070*d**2 + 568
Find the second derivative of h**5 - 399988*h**2 + 3*h + 1076831 wrt h.
20*h**3 - 799976
What is the second derivative of -3*t**3 - 2250926*t**2 + 7166331*t?
-18*t - 4501852
Differentiate -2749*m**4 + 4*m**3 + 4*m - 6464432.
-10996*m**3 + 12*m**2 + 4
What is the third derivative of 40572821*z**5 - 234866*z**2 + z + 2?
2434369260*z**2
Find the second derivative of 2*i**5*y + 6039628*i**3*y**3 + 124*i*y**3 - i*y**2 + 46*i wrt i.
40*i**3*y + 36237768*i*y**3
What is the derivative of 12914*t**3 - 10041*t**2 + 1126527383 wrt t?
38742*t**2 - 20082*t
What is the third derivative of 104621611*v**6 + 79*v**2 + 577395 wrt v?
12554593320*v**3
Find the second derivative of -8662251*u**4 - 312669*u + 10 wrt u.
-103947012*u**2
Find the second derivative of -70218041*r**4 - 63764078*r wrt r.
-842616492*r**2
What is the second derivative of 6235564*k*q**2 + k*q + 7*k + 2*q**2 + 508*q - 70 wrt q?
12471128*k + 4
Find the third derivative of 296*l**4 + 125750*l**3 + 1446*l**2 - 3*l - 183 wrt l.
7104*l + 754500
What is the third derivative of -22*d**3*o**3 - 280188*d**3*o + 2*d**3 - d**2*o - 2*d**2 - 3438*d*o**3 + 254*o**3 wrt d?
-132*o**3 - 1681128*o + 12
What is the second derivative of -599916218*s**2 + 51815653*s - 2 wrt s?
-1199832436
What is the derivative of -31445*h**3 + h**2 - 29*h + 20671387 wrt h?
-94335*h**2 + 2*h - 29
Find the third derivative of -2643473*v**6 + 35862972*v**2.
-317216760*v**3
Find the third derivative of 13140773*j**3 - 4574094*j**2 - 2*j.
78844638
Find the third derivative of -j**3*l*s + 88904*j**3*s**3 - 5012*j**2*l*s**2 + 8*j**2*s + 115*j*s**3 wrt j.
-6*l*s + 533424*s**3
Find the second derivative of -52*t**3 - 77269*t**2 + 43007449*t wrt t.
-312*t - 154538
Differentiate 18694939*f + 13161903 with respect to f.
18694939
What is the second derivative of 2*d**2*y**2 - 2*d**2*y - 146*d**2 + 10317*d*y - 25079547*y**2 wrt y?
4*d**2 - 50159094
What is the derivative of -8984*a**2*b**2 - 207*a**2*b - 2*a**2 + 1421324*a wrt b?
-17968*a**2*b - 207*a**2
Find the third derivative of 1484*u**4*x**2 - 15*u**4*x + 534*u**2*x**2 - 4*u**2*x - 17*u**2 + 2*u*x - 5*x**2 wrt u.
35616*u*x**2 - 360*u*x
Find the third derivative of -291509686*l**4 - 1292387*l**2 + 2*l - 4 wrt l.
-6996232464*l
Find the second derivative of 1716935*i**2*y + 3*i*y + 2*i + 47*y + 133 wrt i.
3433870*y
Find the second derivative of -3853*n**3*o**2 - 39*n**3 + n*o**2 - 37*o**2 + 3247*o wrt o.
-7706*n**3 + 2*n - 74
Find the second derivative of -1356820192*p**3*r**2 + 389258150*p**3*r wrt r.
-2713640384*p**3
What is the second derivative of -486*f**3*y + 4*f**3 - 22*f**2*y + 90*f**2 - f*y + 54*f + 8*y - 20031 wrt f?
-2916*f*y + 24*f - 44*y + 180
What is the first derivative of -18935137*m**4 + 3230975 wrt m?
-75740548*m**3
What is the third derivative of 156801036*q**3 + 90573745*q**2?
940806216
Find the second derivative of 2*l**5 - 191071387*l**3 - 8*l - 552097.
40*l**3 - 1146428322*l
What is the first derivative of 9595124*m**2 + 58215800?
19190248*m
What is the first derivative of -9668802*q - 4839192 wrt q?
-9668802
Differentiate -579507*n*r**3 - 112*n*r + 73640799*n wrt r.
-1738521*n*r**2 - 112*n
What is the second derivative of 111458*c**2*p**2*w + 17*c**2*w - c*p**2*w + c*p**2 - 2*c*p*w - 3*c*p + 202*c + p**2*w wrt c?
222916*p**2*w + 34*w
Find the first derivative of 3*n**4 + 23*n**3 - 296*n**2 + 50*n + 7163740 wrt n.
12*n**3 + 69*n**2 - 592*n + 50
W | {
"pile_set_name": "DM Mathematics"
} |
rt(204)*-2 - sqrt(204))*6)/sqrt(12))**2 - (1 + (2*sqrt(1377) - sqrt(1377)) + sqrt(1377) + sqrt(1377)).
-27*sqrt(17) + 6136
Simplify (sqrt(242) + -1)*4*3 + -2.
-14 + 132*sqrt(2)
Simplify sqrt(1700) + 0 + 3 + 5.
8 + 10*sqrt(17)
Simplify 6*-4*sqrt(4)/(sqrt(12)/sqrt(6) + sqrt(2)).
-12*sqrt(2)
Simplify ((sqrt(605) - (sqrt(605) + -1)) + 0 + sqrt(605))**2.
22*sqrt(5) + 606
Simplify -2*(1*sqrt(343)*-3)**2.
-6174
Simplify ((sqrt(931) - (sqrt(931) + 3)) + 2)**2 + 2.
3
Simplify (2 + (-3 + sqrt(288) - sqrt(288)) + sqrt(288))**2.
-24*sqrt(2) + 289
Simplify sqrt(44)/(sqrt(4)*2) + 5.
sqrt(11)/2 + 5
Simplify 1 + (sqrt(11) - (sqrt(66)/sqrt(6) + 1) - (-1 + sqrt(891))**2).
-892 + 18*sqrt(11)
Simplify (sqrt(1377) + -1)*-6 + -5.
-54*sqrt(17) + 1
Simplify (-3 + sqrt(612) + 3 - sqrt(612) - -3*sqrt(612)*-1)**2.
5508
Simplify (sqrt(152)/(-6*sqrt(72)/sqrt(9)))**2.
19/36
Simplify ((1*sqrt(76))**2 + sqrt(76))*-3 + 0.
-228 - 6*sqrt(19)
Simplify (2 + 2*sqrt(5) + sqrt(5) + sqrt(30)/sqrt(216) + -5)**2.
-19*sqrt(5) + 2129/36
Simplify -6*-3*(sqrt(637)*-2 + sqrt(637)).
-126*sqrt(13)
Simplify (-5 + sqrt(1323))**2.
-210*sqrt(3) + 1348
Simplify -6*-6*(-3*sqrt(2))**2.
648
Simplify sqrt(171)/(sqrt(144)/sqrt(4)).
sqrt(19)/2
Simplify -1 + (2 + sqrt(4)/sqrt(2) - sqrt(2))**2 + -1.
2
Simplify -1 + (sqrt(1584) + sqrt(1584) + -1 + 1 + sqrt(1584) - sqrt(1584))**2.
6335
Simplify -4*(0 + sqrt(2))**2 + (4*(sqrt(2) + sqrt(4)/sqrt(2)))**2 + 5.
125
Simplify -1 + sqrt(68)/sqrt(4) + 1 + sqrt(2448) + -1 + sqrt(68) + (sqrt(17) - sqrt(612)*2).
-1 + 4*sqrt(17)
Simplify (sqrt(10) - (sqrt(160) + sqrt(10))*-1)/(sqrt(16)/(sqrt(8) - sqrt(8)*-2)).
18*sqrt(5)
Simplify ((5 + sqrt(13)*1 + 1)*-1)**2.
12*sqrt(13) + 49
Simplify ((sqrt(475) - (sqrt(475) + -5)) + 2 + sqrt(475) + 0)**2.
70*sqrt(19) + 524
Simplify (sqrt(3520)/sqrt(11))**2 - ((sqrt(125))**2 + 0).
195
Simplify -1*((0 + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)).
0
Simplify 4*(sqrt(28) + sqrt(28) + (sqrt(4032) - ((1*sqrt(4032) - sqrt(4032)) + sqrt(4032))))/((sqrt(112)/sqrt(4))/sqrt(7)).
8*sqrt(7)
Simplify -6*(-2*((-1 + sqrt(539) - sqrt(539)) + 4))**2.
-216
Simplify (((1 + 2*sqrt(7) - sqrt(7)) + sqrt(7) - sqrt(7)) + (((sqrt(567) + -1*sqrt(567) - sqrt(7)) + sqrt(7) - sqrt(7))**2 - sqrt(7)))*2.
16
Simplify (-1 + sqrt(3087) + 4 + (sqrt(3087) - sqrt(3087)*-1) + -4)**2.
-126*sqrt(7) + 27784
Simplify (sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) + 1 + sqrt(704))*-2)) - sqrt(704))**2.
128*sqrt(11) + 11268
Simplify (6*1*sqrt(19) + -2)**2.
-24*sqrt(19) + 688
Simplify sqrt(204)/(5*sqrt(36)/sqrt(3)).
sqrt(17)/5
Simplify -5*(sqrt(17) + sqrt(272) + 3)**2 + (sqrt(119)/(sqrt(7)*2*1))**2.
-8663/4 - 150*sqrt(17)
Simplify 3*-1*sqrt(343) + sqrt(343).
-14*sqrt(7)
Simplify (-4 + sqrt(49)/sqrt(7))*2.
-8 + 2*sqrt(7)
Simplify sqrt(35)/(sqrt(320)*-1 - sqrt(320)).
-sqrt(7)/16
Simplify (sqrt(1539) + -2 + sqrt(1539)*2 + sqrt(1539))**2 + -2*1*sqrt(19)*-1.
-142*sqrt(19) + 24628
Simplify 6*sqrt(1300)*2.
120*sqrt(13)
Simplify (sqrt(7) - (sqrt(252) + 0)**2) + (sqrt(7) - (sqrt(7) + (-1*sqrt(7) - sqrt(7)) + 2)).
-254 + 3*sqrt(7)
Simplify sqrt(17) - ((3 + sqrt(17))*5)**2 - (3 + sqrt(17) + 4)**2.
-716 - 163*sqrt(17)
Simplify sqrt(30)/((2*sqrt(48))/sqrt(8)) + -4*(sqrt(105)/sqrt(3) - sqrt(35))/sqrt(7).
sqrt(5)/2
Simplify (-1 + sqrt(1008))**2 + -4 + 5 + (0 + sqrt(1008))**2.
-24*sqrt(7) + 2018
Simplify 2 + sqrt(26)/sqrt(2) - (sqrt(624)/sqrt(12))/sqrt(4).
2
Simplify (sqrt(170)/(sqrt(70)/(sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7))) + -2)**2.
-12*sqrt(17) + 157
Simplify ((-6*(sqrt(78) + sqrt(78) + sqrt(78)*3))/sqrt(6))**2 + -2.
11698
Simplify (sqrt(72)/sqrt(9))**2 + sqrt(2) + sqrt(18)/sqrt(9) + -2.
2*sqrt(2) + 6
Simplify ((-1*sqrt(70)*-1 - sqrt(70)) + sqrt(70))/(sqrt(640)*2).
sqrt(7)/16
Simplify -3 + ((sqrt(2) + sqrt(8) - sqrt(2)) + 3 - sqrt(18)/(2*sqrt(9) - sqrt(9))).
sqrt(2)
Simplify (-2 + 4*(sqrt(19) - (sqrt(19) + sqrt(931)*-1 + sqrt(19))))**2.
-96*sqrt(19) + 10948
Simplify (sqrt(72) - (sqrt(72) - (sqrt(72) + 0 + sqrt(72))))**2 + -4.
284
Simplify -3*(sqrt(567) - (1 + sqrt(567))).
3
Simplify sqrt(147) + -5 + -1*4*sqrt(3).
-5 + 3*sqrt(3)
Simplify ((sqrt(220)*-1)/sqrt(5))/(sqrt(32)/(sqrt(8) + sqrt(8) + sqrt(8)*2)).
-4*sqrt(11)
Simplify sqrt(1568) + -2.
-2 + 28*sqrt(2)
Simplify 4 + -4*(0 + sqrt(13))**2 + -1.
-49
Simplify 4*(-1 + sqrt(704))**2.
-64*sqrt(11) + 2820
Simplify sqrt(833)*5 + -5.
-5 + 35*sqrt(17)
Simplify (-6*1*sqrt(133))/sqrt(7).
-6*sqrt(19)
Simplify sqrt(72) + (2 + sqrt(72) - sqrt(72)) + -4.
-2 + 6*sqrt(2)
Simplify (5*(sqrt(252) + sqrt(252) + 2 + 4))**2.
3600*sqrt(7) + 26100
Simplify sqrt(25)/sqrt(5) + -2 + (sqrt(5) - -6*1*sqrt(5)).
-2 + 8*sqrt(5)
Simplify ((sqrt(4455)*2 - sqrt(4455))/(sqrt(121)/(sqrt(11) - (sqrt(44) - sqrt(11) - sqrt(11)))))**2.
405
Simplify -1 + -4*(sqrt(8)/sqrt(2))/sqrt(2)*-1.
-1 + 4*sqrt(2)
Simplify ((sqrt(133)*-3 - sqrt(133))*-2 + sqrt(133))/((sqrt(84)*-3)/sqrt(12)).
-3*sqrt(19)
Simplify 1 + (sqrt(27)*-3)/sqrt(9) + sqrt(3).
-2*sqrt(3) + 1
Simplify (6*-2*2*sqrt(7))**2.
4032
Simplify sqrt(209)/(-3*sqrt(176) + sqrt(176)).
-sqrt(19)/8
Simplify (4 + sqrt(15)/sqrt(5))*-4.
-16 - 4*sqrt(3)
Simplify sqrt(22)/(sqrt(200)*1).
sqrt(11)/10
Simplify (sqrt(684) + sqrt(684)*-2 + sqrt(19))*-6*3.
90*sqrt(19)
Simplify ((sqrt(112)*2*-4 - sqrt(112) - sqrt(112))**2 + sqrt(112))*-3.
-33600 - 12*sqrt(7)
Simplify ((sqrt(95)*2*5 + sqrt(95))/(sqrt(180)/sqrt(9)))**2.
2299/4
Simplify 1 + sqrt(209)/(-2*sqrt(11)).
-sqrt(19)/2 + 1
Simplify (((sqrt(39)/sqrt(3))**2 - sqrt(13)) + 5 + 0)*4.
-4*sqrt(13) + 72
Simplify ((5 + sqrt(1900)*-2)*6)**2*-5.
-1372500 + 36000*sqrt(19)
Simplify (sqrt(228) - 3*(-1*sqrt(228) + sqrt(228)))/(sqrt(300) - (sqrt(300) + (sqrt(300) - -2*sqrt(300)) + sqrt(300))).
-sqrt(19)/20
Simplify -1*(-2 + -4 + sqrt(700)*2).
-20*sqrt(7) + 6
Simplify -2 + (-2 + sqrt(3))**2 + -2.
-4*sqrt(3) + 3
Simplify 5*(-1*sqrt(396) - sqrt(396)) + 4.
-60*sqrt(11) + 4
Simplify (((sqrt(200) - (sqrt(200) + (0 + sqrt(200) - sqrt(200)))) + sqrt(200))**2 - sqrt(2)) + (sqrt(24)*-2)/sqrt(12).
-3*sqrt(2) + 200
Simplify -6*(2 + sqrt(19)) + (-2*sqrt(76))/sqrt(4).
-8*sqrt(19) - 12
Simplify sqrt(567) - (2 + (sqrt(567) + 0 - sqrt(567))).
-2 + 9*sqrt(7)
Simplify (sqrt(76) + (sqrt(76) - 1*sqrt(76)*4))/(sqrt(640)/sqrt(10)).
-sqrt(19)/2
Simplify sqrt(204)/(sqrt(768)*1).
sqrt(17)/8
Simplify -6*((sqrt(2299)*2)**2 + -2).
-55164
Simplify (sqrt(500) + -1 - sqrt(500))**2 + sqrt(500) - (sqrt(5) + -1 + sqrt(5))*2.
3 + 6*sqrt(5)
Simplify (-2 + (sqrt(540)/sqrt(9))/sqrt(12))**2.
-4*sqrt(5) + 9
Simplify (5 + sqrt(1053) + 0 + sqrt(1053) + ((-1 + sqrt(1053))*-5 - sqrt(1053)))**2*3.
-2160*sqrt(13) + 50844
Simplify -2 + ((1*(sqrt(84) + -2*sqrt(84)))/sqrt(12))**2.
5
Simplify 3*((2*sqrt(78)*-2 + sqrt(78))/sqrt(6))**2.
351
Simplify 5 + (sqrt(11) + -2 + sqrt(11) + sqrt(11) + -2)**2 + sqrt(11).
-23*sqrt(11) + 120
Simplify (sqrt(39)/(sqrt(9)/sqrt(3))*-1 - (sqrt(1573) - (5 + sqrt(1573) + -1)))**2.
-8*sqrt(13) + 29
Simplify -6*(-4*sqrt(108)*2)**2.
-41472
Simplify (sqrt(34) - (sqrt(34) - (sqrt(34) + 2*sqrt(306))))/(sqrt(2) - (-6*sqrt(8) - sqrt(2))).
sqrt(17)/2
Simplify sqrt(22)/(sqrt(242)*3).
sqrt(11)/33
Simplify (4*(sqrt(500) - 2*sqrt(500)) + 3*(sqrt(500) + -1))**2.
60*sqrt(5) + 509
Simplify ((sqrt(1331) - (sqrt(1331) + -1*sqrt(1331) + sqrt(1331))*6) + 5 + 2*sqrt(1331))**2.
-330*sqrt(11) + 12004
Simplify (-2*(4 + (sqrt(832) + -2)*-5))**2.
-4480*sqrt(13) + 83984
Simplify (4 + (-3*-1*sqrt(13) - sqrt(13)))**2.
16*sqrt(13) + 68
Simplify (-4*sqrt(68)/sqrt(4) - (sqrt(34)/sqrt(32))**2)*1.
-4*sqrt(17) - 17/16
Simplify (sqrt(40) - 2*sqrt(4000))/(-2*sqrt(128)).
19*sqrt(5)/8
Simplify 2*(sqrt(171))**2 - (-1*sqrt(19) + sqrt(19))*2.
342
Simplify 4 + (sqrt(48) + sqrt(96)/sqrt(2))/sqrt(6).
4 + 4*sqrt(2)
Simplify (0 + sqrt(153))*-4 - (-5 + sqrt(272) + sqrt(153) + 3).
-19*sqrt(17) + 2
Simplify (1 + sqrt(468))*-6 + sqrt(468)*-1*-5.
-6*sqrt(13) - 6
Simplify (1*(sqrt(171)*2 + sqrt(171) + sqrt(171)))/(sqrt(729)*2 - sqrt(9)).
4*sqrt(19)/17
Simplify (sqrt(7) - (-3 + sqrt(28)))**2 - sqrt(63)/(sqrt(225) + sqrt(9)).
-37*sqrt(7)/6 + 16
Simplify (sqrt(204) + ((sqrt(204) - 3*sqrt(204))*3 - sqrt(204) - sqrt(204)))/(sqrt(12) + (sqrt(12) + sqrt(12)*-1)*1).
-7*sqrt(17)
Simplify (((sqrt(15) + sqrt(135))*-3)/(sqrt(108)*-6))**2.
5/9
Simplify ((sqrt(50)/sqrt(2)*5)/sqrt(5))* | {
"pile_set_name": "DM Mathematics"
} |
l - 506. What is the hundreds digit of t(-123)?
9
Let t(q) be the second derivative of q**4/12 - q**3/3 - 19*q**2 - 17*q. What is the tens digit of t(19)?
8
Let g(p) = -5*p - 121*p**3 + 12*p**2 - 8*p**2 - 9 - 3*p - 6*p**2. What is the tens digit of g(-2)?
6
Suppose 14*d - 10*d - 51 = -r, 2*r + 4*d = 102. Suppose 0 = 4*f + w + 143, 0*f + f + 35 = -w. Let k = r + f. What is the tens digit of k?
1
Suppose 20*c - 27*c = -210. Suppose 0 = 28*b - c*b + 1216. What is the tens digit of b?
0
Let l(h) = -4*h**2 - 40*h - 15. Suppose a - 6 = -15. Let d(m) = 8*m**2 + 79*m + 31. Let k(n) = a*l(n) - 4*d(n). What is the hundreds digit of k(-15)?
2
Let h(i) = 2*i + 66. Suppose 16 + 29 = 3*l. What is the tens digit of h(l)?
9
Suppose 3*z - 3 = i - 16, 0 = z + 3*i + 1. Let k be z/6*(1 - 44/8). Suppose -m = -5*m + 4*p + 172, -k*m + 2*p + 131 = 0. What is the tens digit of m?
4
Let z(h) = h**3 + h**2 + 2*h - 3. Let i be z(-3). Let q be (-14910)/i - 1/((-27)/(-6)). Suppose 2 = r, -q = -5*c - 2*r + r. What is the units digit of c?
0
Suppose -90*c + 8*c + 1712723 = -178033. What is the hundreds digit of c?
0
Suppose 52 = 3*h + 34. Suppose -4*n + 3*n = 4*t - 12, -2*t + h = -4*n. Suppose -t*c - 58 = -4*c. What is the units digit of c?
8
Suppose 4 = -114*r + 116*r. Suppose r*z - 1610 = -2*v + 456, 5*z - 2*v - 5137 = 0. What is the units digit of z?
9
Let v(d) = 9*d**2 - 14. Let z be -2 + 4 - -2*13. Suppose -4*m - z = 3*m. What is the units digit of v(m)?
0
Suppose -70 = h - 3*k, -5*h - 83 = 3*k + 357. Let v = -77 - h. What is the units digit of ((-819)/(-6))/((-1)/(v/(-6)))?
2
Let j(c) = -5*c - 29. Let i be j(-5). Let g be 13 - i*2/(-8). What is the units digit of -15*(-4)/g*43?
5
Let i(v) = 404*v + 11939. What is the thousands digit of i(-25)?
1
Let i(j) = 76*j + 42. Let t be i(14). Let l = 1887 - t. What is the units digit of l?
1
Let v = 165 - 105. Let k = -52 + v. Suppose k*m + 46 = 10*m. What is the units digit of m?
3
Suppose -21*c + 41980 + 662 = -18*c. What is the hundreds digit of c?
2
Let f = -66 + 71. Suppose f*l + 1129 - 4284 = 0. What is the hundreds digit of l?
6
Let u(b) = 844*b**2 + 9*b - 3. Let i(o) = 845*o**2 + 8*o - 3. Let p(z) = 6*i(z) - 5*u(z). What is the units digit of p(1)?
0
Suppose 0 = -0*x + 2*x - 5*s - 52, 0 = 5*x - 3*s - 168. Let h be (-9 - -1)*(-3 + 4). Let k = h + x. What is the units digit of k?
8
Let o be 250 + 2/5 + (-42)/(-70). Let c = o + -237. What is the units digit of c?
4
What is the ten thousands digit of (-207)/(-63) + (-15)/(-21) + 1 + 11436?
1
Let l = 2150 - 1353. Suppose 5*z - l = 278. What is the hundreds digit of z?
2
What is the thousands digit of 15 - (2 - 6)*10513?
2
Suppose 0 = 13*u - 32*u + 62510. What is the thousands digit of u?
3
Suppose -5*h + 242 + 428 = 0. Let z = -911 + 998. Let n = h - z. What is the units digit of n?
7
Let h(r) = 20*r**2 - 635 - 765 + r**3 - 3*r + 1273. What is the units digit of h(-10)?
3
Let f(r) = 28*r - 48. Let y be f(3). Let i(a) = a**3 - a**2 + 36. Let s be i(0). Suppose t = y + s. What is the tens digit of t?
7
Let s(w) = -25*w + 126. Let p(l) = -23*l + 126. Let g(j) = 6*p(j) - 5*s(j). What is the tens digit of g(-33)?
5
Let z(m) = -68*m**3 + 15*m**2 + 65*m + 573. What is the ten thousands digit of z(-9)?
5
What is the hundreds digit of 1277 - (-8 - (4/2 + -3))?
2
Let j be (9/(-2) + 2/(-12))*3. Let w(p) = -36*p - 162. What is the units digit of w(j)?
2
Suppose -3*a - o - 2*o = -4494, 0 = -4*a + 5*o + 5992. Suppose n - 3*j = a - 470, -3*n + 3*j + 3108 = 0. What is the units digit of n?
0
Let v(g) = g**3 - 9*g**2 + 13*g - 8. Let n be 4*1 + 5 + 4. What is the units digit of v(n)?
7
Suppose 0 = -4*y - 22 + 54. What is the units digit of 0 + y/(-44) - (-15186)/33?
0
What is the thousands digit of (-11 + 16 - 423/(-1))*20?
8
Let z(l) = -l**3 + 13*l**2 + 11*l + 66. Let u be z(14). Suppose -4*g + u = -1144. What is the hundreds digit of g?
2
Let u(k) = 497*k + 777. What is the tens digit of u(4)?
6
Suppose 2*g = 4*g + 4*c + 1572, -5*g = -3*c + 3956. Let t = g + 1122. What is the hundreds digit of t?
3
Let n be 12/(-4) + (6 - 0). Suppose 2*g + 4 = 4*y, 4*y + 2*g = n*g + 8. Suppose -825 = -2*c - 3*c + y*o, -5*o = 5*c - 865. What is the tens digit of c?
6
Let l = -116 + 116. Suppose 7*p - 12*p + 1855 = l. What is the hundreds digit of p?
3
Suppose -142*k + 141*k - 4*w + 8612 = 0, 5*w + 35 = 0. What is the units digit of k?
0
Suppose 1 + 1 = -k. Let d be (-17 - (0 + k))/((-26)/78). What is the units digit of 1143/d + 6/10?
6
Let b = 2370 - -1728. What is the thousands digit of b?
4
Suppose -35*z + 90 = -50*z. What is the thousands digit of z + 15/((-120)/(-9296))?
1
Let r be 0*(5/2)/5. Suppose -5*u = t - r*t + 6, 4*t = u - 66. What is the hundreds digit of (-40)/(2 - (-36)/t)?
1
Let d(a) be the second derivative of -a**3/3 - 6*a**2 - 14*a. Let o be d(-9). What is the tens digit of ((-37)/4)/(o/(-48))?
7
Let z(s) = 2*s**3 - s**2 - 3*s + 1. Let i be z(2). Suppose i*f - 2*f = -35. Let p = f - -93. What is the tens digit of p?
8
Suppose -2*s + 51 = 3*n, -21*n + 20*n - 5*s + 4 = 0. Suppose n*g - 838 = -p + 23*g, 3*g - 2529 = -3*p. What is the tens digit of p?
4
Let u = -761 + 789. Let p(t) = t + 31. What is the tens digit of p(u)?
5
Suppose 74*o + 16633 = 544510 + 124433. What is the tens digit of o?
1
Let w(z) = 39*z + 7. Let c(m) = -77*m - 15. Let t(b) = -2*c(b) - 5*w(b). Suppose 0 = 3*j + 17 - 5, 0 = -4*n - 4*j - 32. What is the hundreds digit of t(n)?
1
Let g = 234 - 243. Let k(l) = -89*l - 79. What is the tens digit of k(g)?
2
Let w(n) = n**3 + 36*n**2 - 61*n - 30. What is the thousands digit of w(-31)?
6
Let m(a) be the first derivative of 21*a**4/2 + 2*a**3/3 - 3*a**2/2 + 9*a + 47. Let v be m(2). Let s = -132 + v. What is the tens digit of s?
1
Suppose 5*c - 42 = -2*l, -3*c - 63 = -3*l - 2*c. Suppose 0 = 5*d - l + 26. What is the units digit of d + -3 - (-276)/12?
9
Let o be 1*((3 - 6) + 13). Suppose 0 = 4*g - 14 - o. Suppose -g*h + 4*h = -78. What is the tens digit of h?
3
Let y(p) = -6*p - 24. Let k be y(-4). Let h = 1 + -1. Suppose l + k*l - 11 = h. What is the units digit of l?
1
Let j = -396 - -403. What is the hundreds digit of (-536 - 0)*(j - 9)?
0
Suppose -14 = f + 5*d - 46, 3*f - d = 144. Suppose 3*b = -9, -t + b - 6*b = -f. Let x = 14 + t. What is the tens digit of x?
7
Suppose -9*y + 8*y = -3*n - 9222, -5*y + 46054 = -n. What is the units digit of y?
0
Let q(s) = -s**3 + s**2 - s + 29. Let y be q(0). Let i = 37 - y. Suppose -228 - i = -4*j. What is the units digit of j?
9
Let q(y) = -y**3 + 82*y**2 - 329*y - 253. What is the thousands digit of q(41)?
5
What is the thousands digit of (21527/(-836))/(1/(-72))?
1
Let t = 3482 - -4839. What is the units digit of t?
1
Let u = 33352 - 16641. What is the tens digit of u?
1
Let u = -116 + 120. Suppose 38 = u*o - 6. Suppose -740 = -15*b + o*b. What is the tens digit of b?
8
Suppose 0 = -j - 2*j + 9. Suppose 0 = 8*m - j*m + 45. What is the units digit of m/(-1) - (2 - -1)/(-3)?
0
Let l = 641 + 278. Suppose -l = -d - 251. What is the tens digit of d?
6
Let n(c) = -c**3 + 15*c**2 + 4*c - 18. Let i be n(-15). Suppose -i = 30*k - 38*k. What is the tens digit of k?
3
Suppose -660570 = 685*a - 4488350. What is the hundreds digit of a?
5
Let g(x) = 65*x**2 - 14*x - 28. Let c be g(-2). Suppose s + c + 968 = 3*y, y - 404 = -5*s. What is the hundreds digit of y?
4
Suppose 356 = -6*m + 4*m - 4*a, m - 4*a + 154 = 0. Let y = m + 260. What is the units digit of y?
0
Suppose -9*m = -33994 + 11926. Suppose 5*h - 1615 = 4*a + 828, -a = -5*h + m. What is the hundreds digit of h?
4
Let f(p) be the first derivative of p**4/4 + 5*p**3/3 - 11*p**2/2 + 20*p + 4. Let q = -45 - -50. What is the tens digit of f(q)?
1
Let l be ((-2)/(-4))/(4*1/192). Suppose -1565 = -l*p + 19*p. What is the units digit of p?
3
Let s(z) = 2*z**2 + 13*z + 163. Let b be s(-20). Let g = 1729 - b. What is the thousands digit of g?
1
Let v(d) = 57*d**2 - 4*d - 4. Let j be v(-1). Suppose -j*n + 1184 = -53*n. What is the units digit of n?
6
Suppose -5*j + 17 = 2. Suppose k + 13 = -2*b + 14, b - 4 = -4*k. Suppose 4*n - 516 = -3*a, j*a + b*a = n - 114. What is the units digit of n?
6
Let f(v) = v**3 + 32*v**2 + 16*v + 24. Let l be f(-36). What is the units digit of l/(-16)*(-10)/(-15)?
9
Suppos | {
"pile_set_name": "DM Mathematics"
} |
/11
Put 195378, 4, -2/21 in decreasing order.
195378, 4, -2/21
Put 191, -1, 13, -157, -34 in increasing order.
-157, -34, -1, 13, 191
Sort 0, -1, -27, 264 in increasing order.
-27, -1, 0, 264
Put -4, 30, 9836 in descending order.
9836, 30, -4
Sort 1/12, 3, -98826, -2, 0.6 in ascending order.
-98826, -2, 1/12, 0.6, 3
Sort 305, 0, -1, 4, -36 in descending order.
305, 4, 0, -1, -36
Put -8, -3, -9763, 7, 0 in ascending order.
-9763, -8, -3, 0, 7
Put 5, 3, 6, -1671, -2, -13 in ascending order.
-1671, -13, -2, 3, 5, 6
Sort 30, -1653, 2, 0, 1, -6.
-1653, -6, 0, 1, 2, 30
Put 4, -21, 209, -8, -7 in decreasing order.
209, 4, -7, -8, -21
Sort 14, 5236, 3, 2/15 in descending order.
5236, 14, 3, 2/15
Put 4, -5, 3, 2, -51, -3, -26 in increasing order.
-51, -26, -5, -3, 2, 3, 4
Sort 0.5, 3/715, 297/19, -0.3.
-0.3, 3/715, 0.5, 297/19
Sort -5, -914, 132, -0.3 in ascending order.
-914, -5, -0.3, 132
Sort 0.2, -21.72, -7, 0.5 in ascending order.
-21.72, -7, 0.2, 0.5
Sort 1177, -30, -22, -23 in increasing order.
-30, -23, -22, 1177
Put -59, -2, 83387 in decreasing order.
83387, -2, -59
Sort 0.5, -0.2, 41, 1535, 0.2, 5/7 in ascending order.
-0.2, 0.2, 0.5, 5/7, 41, 1535
Put 1238, 0.5, 6, -22 in descending order.
1238, 6, 0.5, -22
Sort 4, 2/71965, 10/13.
2/71965, 10/13, 4
Sort 1, 5524, 0, 3597 in decreasing order.
5524, 3597, 1, 0
Sort -13, 14485, 4, -7 in descending order.
14485, 4, -7, -13
Put -10, -5, -2, -18, 13, 3, -15 in descending order.
13, 3, -2, -5, -10, -15, -18
Sort -10, 1/3, -2/10633, 269 in descending order.
269, 1/3, -2/10633, -10
Sort 6, -2, -183, 4, -22.
-183, -22, -2, 4, 6
Put 72, -4, -1036, -1/3, -2/7 in decreasing order.
72, -2/7, -1/3, -4, -1036
Put 20, -12607, -1 in descending order.
20, -1, -12607
Put -3, -58, -1, 39175 in decreasing order.
39175, -1, -3, -58
Put -66/13, -5/371, -11/30 in descending order.
-5/371, -11/30, -66/13
Sort -3, -10, 2, 3, -24, 59, -1 in increasing order.
-24, -10, -3, -1, 2, 3, 59
Sort 197, -1311, -4, -3, -1, -8, -2 in decreasing order.
197, -1, -2, -3, -4, -8, -1311
Sort -1, 35705, -3, 1 in descending order.
35705, 1, -1, -3
Sort 25054, 0.4, 183, 2 in ascending order.
0.4, 2, 183, 25054
Put -1/3, -3.05, -1, -785416 in descending order.
-1/3, -1, -3.05, -785416
Put -0.4, 0.3, 0.11, -776, -6 in increasing order.
-776, -6, -0.4, 0.11, 0.3
Put -26, 1276, -16, -73 in descending order.
1276, -16, -26, -73
Sort -1.3167, 7/270, -4 in decreasing order.
7/270, -1.3167, -4
Put -4.68, -1/50, 8, -4/3, -3, 0.5 in ascending order.
-4.68, -3, -4/3, -1/50, 0.5, 8
Sort 1, -0.8, -0.036, 34.86 in increasing order.
-0.8, -0.036, 1, 34.86
Put -0.1, -3, -27.5343, 3 in descending order.
3, -0.1, -3, -27.5343
Sort 1/3, -14, -5, -9/13 in descending order.
1/3, -9/13, -5, -14
Sort -6, -499, -65, -83 in decreasing order.
-6, -65, -83, -499
Sort 1, 1014, 61, 403.
1, 61, 403, 1014
Sort 2, -4, -29, 1315, 5, 158 in ascending order.
-29, -4, 2, 5, 158, 1315
Put 6674, -5, 72 in increasing order.
-5, 72, 6674
Sort -842459, 45, -3.
-842459, -3, 45
Sort -190, 1529, -3, -7, 4 in descending order.
1529, 4, -3, -7, -190
Sort -312841, 0, -8 in increasing order.
-312841, -8, 0
Put -23652, -1/4, 22 in descending order.
22, -1/4, -23652
Sort -3, -254, -6, 24, -797.
-797, -254, -6, -3, 24
Sort 33, 4, 0.04, 2, 0.9, 157 in ascending order.
0.04, 0.9, 2, 4, 33, 157
Sort 2/7, -117, -784110 in descending order.
2/7, -117, -784110
Sort -40, 1, 9, -93, 5, -2, -20.
-93, -40, -20, -2, 1, 5, 9
Sort 0, 30816, -3, -83 in decreasing order.
30816, 0, -3, -83
Sort 17, -91, 4, 11, 0.3, 0 in ascending order.
-91, 0, 0.3, 4, 11, 17
Sort 4, -3, -1202, 7, 2 in descending order.
7, 4, 2, -3, -1202
Sort -79, 0, -20, -2/13, 39, 22.
-79, -20, -2/13, 0, 22, 39
Put -28, -10280, -4, 1, 5 in ascending order.
-10280, -28, -4, 1, 5
Sort 1/2, -5, -0.2, -16, -96, -0.5 in decreasing order.
1/2, -0.2, -0.5, -5, -16, -96
Put 1, -5, 75, -131, 4, -12 in descending order.
75, 4, 1, -5, -12, -131
Sort -1, 5, 384070, 1, -52 in decreasing order.
384070, 5, 1, -1, -52
Sort -2375, -52, 55, -1.
-2375, -52, -1, 55
Put 2, -925887, 0 in decreasing order.
2, 0, -925887
Put 60.77, 1410, 3 in increasing order.
3, 60.77, 1410
Sort -2, 16268, 10, -1/3, 2/5, 1/5 in descending order.
16268, 10, 2/5, 1/5, -1/3, -2
Sort -30, 0, -12, 7065 in decreasing order.
7065, 0, -12, -30
Sort -2/1715, 0.2, -1, -4, 8/11.
-4, -1, -2/1715, 0.2, 8/11
Sort -3, -87081, 1, -68 in increasing order.
-87081, -68, -3, 1
Put -20, 10, 131406 in descending order.
131406, 10, -20
Put 2/5, -1/3, 0.5, 9429.426 in decreasing order.
9429.426, 0.5, 2/5, -1/3
Put -14, -712465, -4 in increasing order.
-712465, -14, -4
Put 2, -10/23, -880/43, 2/7 in increasing order.
-880/43, -10/23, 2/7, 2
Sort 0, -4, -3, -84, -5, 2, 3133.
-84, -5, -4, -3, 0, 2, 3133
Sort 2/5, -0.7, 24303.
-0.7, 2/5, 24303
Sort 0.5, -3097, 2/11, -180.
-3097, -180, 2/11, 0.5
Sort -182, 556, 50.
-182, 50, 556
Put 0, -41/20, 6605 in ascending order.
-41/20, 0, 6605
Put 0.031, -2/3, 1/411, -0.1 in decreasing order.
0.031, 1/411, -0.1, -2/3
Put -5, -3, -9133, 2, 4, -1, 1 in descending order.
4, 2, 1, -1, -3, -5, -9133
Sort -29, -4263, -5, -1 in ascending order.
-4263, -29, -5, -1
Sort -2, -126, 0.2, -3, 0.4, -827/5.
-827/5, -126, -3, -2, 0.2, 0.4
Sort -3, 304, -47, 1 in descending order.
304, 1, -3, -47
Put 1/6, 0.5, 0.5228, 2/605, 1 in decreasing order.
1, 0.5228, 0.5, 1/6, 2/605
Put -2189, -1, -5, -14, 2, 7 in descending order.
7, 2, -1, -5, -14, -2189
Put -6908, -478, 5 in increasing order.
-6908, -478, 5
Sort -1, 1, 25, 18, 2, -4, 162 in decreasing order.
162, 25, 18, 2, 1, -1, -4
Sort 3, 73, -1374064.
-1374064, 3, 73
Sort -0.021, -5, -6, -1/4, 12.57 in decreasing order.
12.57, -0.021, -1/4, -5, -6
Put 5, 2, 1, 3, 2740, -3, -273 in decreasing order.
2740, 5, 3, 2, 1, -3, -273
Put 0.497865, -0.4, 1, 0 in ascending order.
-0.4, 0, 0.497865, 1
Sort 1/4, 0.426286, 0.68 in increasing order.
1/4, 0.426286, 0.68
Put 4, -0.18, -31/3, 619 in decreasing order.
619, 4, -0.18, -31/3
Put 3, -23.9, -0.4, -747 in decreasing order.
3, -0.4, -23.9, -747
Put 6, 5, -18, -23, 0, 4 in descending order.
6, 5, 4, 0, -18, -23
Put 11487, -58, 11 in increasing order.
-58, 11, 11487
Sort -4, 3237, 1, 204.
-4, 1, 204, 3237
Sort 0.5, 26.4, 6, 2, 5, 0, 79 in descending order.
79, 26.4, 6, 5, 2, 0.5, 0
Sort -3142, -293, 1 in decreasing order.
1, -293, -3142
Sort 0.3, 1007, -103.5, -19 in increasing order.
-103.5, -19, 0.3, 1007
Put -10/7, 3/5, 1/12, -8839 in descending order.
3/5, 1/12, -10/7, -8839
Sort 5, 155, -4, -1, 460583 in ascending order.
-4, -1, 5, 155, 460583
Sort -0.04, -3, -0.5, -4/1159451.
-3, -0.5, -0.04, -4/1159451
Sort -283, 248, -3, -1, 0, 3.
-283, -3, -1, 0, 3, 248
Put 0, 596640, -3/4 in descending order.
596640, 0, -3/4
Sort -20/7, 1947, -22 in descending order.
1947, -20/7, -22
Sort 112, 10, 2, 1, -3, -2 in ascending order.
-3, -2, 1, 2, 10, 112
Sort -67671, 240, 14 in ascending order.
-67671, 14, 240
Put -2/9, 4, 2/15, 61, 2/13, -2.01 in descending order.
61, 4, 2/13, 2/15, -2/9, -2.01
Put -1/29, 2, 18423, -30/13 in decreasing order.
18423, 2, -1/29, -30/13
Put -2/75, 1/16, 4, -912/25 in increasing order.
-912/25, -2/75, 1/16, 4
Put 17, -0.4, -2.17, -4, -17, 0 in descending order.
17, 0, -0.4, -2.17, -4, -17
Put -2, -13, 17, 3, -3, -97 in descending order.
17, 3, -2, -3, -13, -97
Sort -3840/11, -0.5, -7/3, 2/7 in increasing order.
-3840/11, -7/3, -0.5, 2/7
Put 31, -19, -4, -5, 1, 158 in decreasing order.
158, 31, 1, -4, -5, -19
Put 0.25, 1, 2/3, -0.02, 267.3 in descending order.
267.3, 1, 2/3, 0.25, -0.02
Sort -64336, 1/59, -3 in decreasing order.
1/59, -3, -64336
Sort 20, -2, 11, 2, 96, 9 in increasing order.
-2, 2, 9, 11, 20, 96
Sort -3/2, -98, 2/7, -133 in ascending order.
-133, -98, -3/2, 2/7
Sort -3/23, -3/5, -10638, -2 in decreasing order.
-3/23, -3/5, -2, -10638
Sort -5, 1, -2, -1, -4, 576, 4 in descending order.
576, 4, 1, -1, -2, -4, -5
Put 3, -260, -34, 7, 0, -540 in ascending order.
-540, -260, -34, 0, 3, 7
Put -1, -2/15, 0, -7, -7983, -3, 5 in descending order.
5, 0, -2/15, -1, -3, -7, -7983
Put 5, -7, 18, -27, -2, 10344 in ascending order.
-27, -7, -2, 5, 18, 10344
Sort 2, -8, -842633, -4, 4.
-842633, -8, -4, 2, 4
Sort -3411, 72, -0.4 in decreasing order.
72, -0.4, -3411
So | {
"pile_set_name": "DM Mathematics"
} |
4
Solve 3*u + 5*m = 37, -10 = -3*m + 14 for u.
-1
Solve -u - 21 = 4*w, w - 1401*u = -1399*u - 3 for w.
-5
Solve -36 = -4*l - 5*q, -1655*l + 1657*l + 3*q = 22 for l.
-1
Solve -9*i - 16 = -6*i - 4*k, k - 4 = 4*i for i.
0
Solve x - 5 = 0, -62*w = -61*w + 5*x - 30 for w.
5
Solve -5 = 5*p - 4*k, 0 = -2*p - 2*k + 6 - 26 for p.
-5
Solve h - 21 = -4*u, 3*u - h + 1590 - 1597 = 0 for u.
4
Solve -5*j - 3*y = -17, 3 = j + 563*y - 562*y for j.
4
Solve -2*f + 33*x + 10 = 55*x - 23*x, 2*f - 18 = 3*x for f.
3
Solve -18 = 3*m - 995*d + 998*d, 0 = m + 2*d + 7 for m.
-5
Solve 0 = -5*b - t, -b - 4*t + 8*t + 21 = 0 for b.
1
Solve -2*i + 14 - 36 = 3*d, 3*d + 17 = -i for d.
-4
Solve 25*s - 30*w + 25*w = 30, -s = -w + 2 for s.
2
Solve 5*b + 12 = j, -6*b - j + 2756 - 2777 = 0 for b.
-3
Solve -3*h - 76 = 4*p, 937*h - 950*h + 5*p = 307 for h.
-24
Solve 5*u + h + 55 = 0, 0 = -770*u + 769*u - 3*h + 3 for u.
-12
Solve 4*h + 14 = 3*v, 27*v - h + 24 = 29*v for v.
10
Solve -2100*m = -2095*m - 15, -6*m + 28 = -l + 5*m for l.
5
Solve 5*h - 21*m + 194 = 0, m + 697 = 2*h + 708 for h.
-1
Solve 5*b = 2*z + 17, 5200*z + 8 = b + 5195*z for b.
3
Solve -2*w - 11 = 4*d - 5, 0 = 2*d - w + 1 for d.
-1
Solve 0 = z - 4*d - 4, -160*z + d - 14 = -156*z for z.
-4
Solve 2*s - g + 1 = 0, 0 = 211*s - 220*s - 2*g - 37 for s.
-3
Solve 0 = l - f - 59 + 41, 3*l - 76 = 4*f for l.
-4
Solve 0 = -4*g - 4*x - 36, -38*g + 2*x = 370 - 188 for g.
-5
Solve -d + 3*r = -21, -7*d - 14 = -11*d - 2*r for d.
6
Solve 0 = 4*a + 8*s + 28, 2*a = -s + 219 - 218 for a.
3
Solve -7 = -g - 5*t, 12*t = -2*g + 11*t + 5 for g.
2
Solve 385*g + 9 = -5*b + 384*g, 2*g = -5*b - 13 for b.
-1
Solve 11*f - 5*k = -27, -31*k - 57 = f - 36*k for f.
3
Solve -5*r + 2*m - 15 = 0, -4*r - m = -3*m + 12 for r.
-3
Solve 16 = 5*y - 3*o - 23, 5*y = -2*o + 36 + 13 for y.
9
Solve -h - 6 = 41*p - 40*p - 0*h, 0 = 3*p - 6*h + 18 for p.
-6
Solve 0 = -2*t - 4*v - 100 + 34, 2*t - 4 = v for t.
-5
Solve -18 + 2 = -5*t - 3*x, 4*t - 4*x = 0 for t.
2
Solve 4*m + 5*r = 9, 3*m + 79*r - 80*r = 2 for m.
1
Solve 2*m = -5*s - 27, -4*m - 23*s + 28*s + 21 = 0 for m.
-1
Solve 4 = -4*k + 16*s - 12*s, -5*k + 3*s + 3 = 0 for k.
3
Solve -m = d + 108 - 96, -m = 5*d + 60 for d.
-12
Solve -16 = -4*k + 2*u, -115*k - 4*u + 7 = -110*k for k.
3
Solve 0 = -3*q + m + 6, -2*q + 5*m - 13*m + 4 = -4*m for q.
2
Solve 2*q = -4*d + 379 - 359, -2*d + 2*q = 2 for d.
3
Solve 2*r = -4*b - 16, 232 = 4*b - 2*r + 240 for b.
-3
Solve 3*b - 35 = 5*s - 25, 9 = -s + 2*b for s.
1
Solve 0 = 4*x + 4*s + 28, -4*s + 114 - 118 = 0 for x.
-6
Solve -2*p = -3*z + 13, 2*z = 3597*p - 3593*p + 22 for z.
1
Solve 5*r = n - 7, 6*n - 105*r + 10 = -101*r for n.
-3
Solve -20*y + 19*y = 3*d - 1, 5*d - 2 = -2*y for y.
1
Solve -3*d + 7 = l, -5*l = -68*d + 63*d + 5 for l.
1
Solve z + 14*n + 14 = 0, 3 = 113*n - 116*n for z.
0
Solve 191*r - 4*h = 192*r + 20, -164 = r + 40*h for r.
-4
Solve 2*w - 281*n = -276*n - 31, -3*n = -5*w - 11 for w.
2
Solve 3*q + 5*o = 9, 2*q + 1397*o - 2 = 1395*o for q.
-2
Solve -15 = -2*q + 3*h, 0 = -4009*q + 4006*q + 7*h + 35 for q.
0
Solve 5*m - 40 = 4*v, 6567*m - 9 = 6565*m + 3*v for m.
12
Solve 3*b + 5*v = 5, -3*v + 64 - 37 = -3*b for b.
-5
Solve 6*f = 4*s + 46, -3*s = f + 3259 - 3252 for s.
-4
Solve 1858 = -5*k - 2*z + 1849, 3*z - 19 = -k for k.
-5
Solve 5*k + 95 = 0, -17 = -u - 2*k - 58 for u.
-3
Solve -2*v + 149*n = 150*n - 10, 3*v - 2*n - 15 = 0 for v.
5
Solve -3*x = -4*m - x, -15 = -m - 2*x for m.
3
Solve -2*t = -5*n + 8, -5*t + 6*n + n = 20 for t.
-4
Solve -6*x - 12*y - 30 = -8*y, -5*y + 25 = -5*x for x.
-5
Solve 5*s + 85*d + 33 = 87*d, -4*s + 66 = 5*d for s.
-1
Solve 5*z - 6 = 3*c, -16*c + 11*c - 5*z = -30 for c.
3
Solve 3*t - j = -1, j = -2*t - 21 + 12 for t.
-2
Solve 2*k = 5*r + 45, -135*k + 81 = -9*r - 137*k for r.
-9
Solve 529*j - 267*j + 5*l + 11 = 268*j, 2*j + 4*l = -2 for j.
1
Solve 0 = -5*d + y + 29, d - 4927*y = -4925*y + 31 for d.
3
Solve 5*n - 4*x + 22 = 0, 0 = -181*n + 177*n - 3*x + 1 for n.
-2
Solve -114 + 120 = -2*l - 5*x, -2*x + 15 = -5*l for l.
-3
Solve -5*m = 3*r + 18, 85*m = r + 84*m - 10 for r.
4
Solve -y + 6*v = -17, 3*y - 212 + 195 = 4*v - 3*v for y.
5
Solve -63766*v - 5*c + 20 = -63767*v, 0 = -4*v + 4*c for v.
5
Solve -14*j - 8*c + 8 = -18*j, c = -4*j - 8 for j.
-2
Solve -29*v + 21*v = -12*v + 2*o - 18, 3*o = 21 for v.
-1
Solve 0 = -10*i - 4*d + 176, -d + 163 = 159 for i.
16
Solve 5*k - 4*g - 35 = g, -9*k + 22 = 5*g + 1 for k.
4
Solve 3*y + 5*k - 10*k + 23 = 0, -4*y - 20 = -4*k for y.
-1
Solve 4*d + 39 = h, d - 4*h = -2*h - 15 for d.
-9
Solve 27*k + 29 = 24*k - 2*r, -87*r - 589 = -4*k for k.
-5
Solve -2*b - 24 = h, -1760*h - 28 = -1763*h + 4*b for h.
-4
Solve l - 4*s + 3 = 0, 5*s = 8949*l - 8951*l + 7 for l.
1
Solve -7*u = 5*f - 3, -11344*u - 21 = 5*f - 11343*u for f.
-5
Solve n + 17 = 3*o, -130*o + 4*n + 47 = -121*o for o.
7
Solve -16 - 11 = 4*u + 3*s, 2*u = -4*s - 26 for u.
-3
Solve -3*b + 21 - 4 = -c, -4*b = -5*c - 30 for b.
5
Solve 5*n - 22 = 3*f, 15*n = 4*f + 11*n + 24 for f.
-4
Solve 0 = -4*f - 4*w - 48, 5*f + 0*f = 5*w - 70 for f.
-13
Solve -3*p = 5*x - 16, 0 = -4*p - 138*x + 87*x + 243 for p.
-3
Solve -9*v = -4*z + 120 - 90, 3*z + 4*v - 1 = 0 for z.
3
Solve -5*i = 3*j + 37, -i - 7 = -66*j + 67*j for j.
1
Solve 4*g + 4*n = 36, -5*n + 37 = -160*g + 163*g for g.
4
Solve 3 = -3*m + 3*r, 3*m - 31 = 4*r - 38 for m.
3
Solve 23 = 3*j + 7*n, 4*n = -3*j + 2*n - 2*n + 8 for j.
-4
Solve -i + 614 = -r + 629, r - 30 = 2*i for r.
0
Solve 2*t - 24 = 0, -4*g - 10*t = -12*t + 36 for g.
-3
Solve 12*m = 103*l - 105*l + 14, 3*l - 4*m + 1 = 0 for l.
1
Solve 0 = -2*b - 9*p - 4, -23*b + 2*p - 10 = -18*b for b.
-2
Solve -49 = 5*v + 3*x - 69, -2 = 3*v - x for v.
1
Solve -8*o + 5*o = 0, -3*o = -4*s - 2*o + 8 for s.
2
Solve 4*h - 5*c = 9*h - 55, 3*h + 9 = 4*c for h.
5
Solve 5*z + 6 = -2*g + 28, z - 5*g = 26 for z.
6
Solve r - f = -68 + 74, -2*f = 2*r for r.
3
Solve -9 = 2*b - 29*k + 28*k, 0 = -4*b - 2*k + 18 for b.
0
Solve -393*m + 16 = 2*c - 398*m, 0 = c + m + 6 for c.
-2
Solve -876*z = -5*y - 855*z + 19, 0 = -5*y + 5*z - 45 for y.
-13
Solve -8*t - 2*q = -1882 + 1808, -27 = -3*t - q for t.
10
Solve 36 = -w - 5*d, 15 = -742*w + 734*w - d for w.
-1
Solve -21*m + 4*p = 46, -11*m + 12*m + 5*p = 3 for m.
-2
Solve 3*p - 8*k = -14, -8*p - p - 3*k = -4*p + 7 for p.
-2
Solve 4*y + 2*l + 74 = 0, -2*y + 2*l = -257 + 309 for y.
-21
Solve 5*a - 92 = -l - 81, 0 = 2*l - 7*a + 29 for l.
-4
Solve 29 = 2*c - 2*r - 3*r, r + 5 = 0 for c.
2
Solve -4*s - 24 = 168*q - 164*q, 2*s = 3*q + 3 for s.
-3
Solve -5*b + 4*r + 27 = 0, -6*b - 30 = -10*b - r for b.
7
Solve -7*m = 5*b - 53, -2*m - 50*b = -51*b - 3 for m.
4
Solve -a + 5*g = 0, 295*a - 300*a - 19 = -6*g for a.
-5
Solve -18 = -167*u + 169*u + 2*c, 8*c = u for u.
-8
Solve 4*o + 98 = j + 116, -11*o + 50 = -3*j for o.
4
Solve 4 = 2*r - 65*i + 66*i, 0 = 3*r + 6*i - 15 for r.
1
Solve -5*z + 60 = -2*z - z, p = -3*z + 88 for p.
-2
Solve 209264*y - k = 209260*y + 8, 0 = -3*y + 5*k + 23 for y.
1
Solve q - v - 2 = 0, -18*q + 21*q + 18 = -5*v for q.
-1
Solve -3*x = 43*i - 46*i - 21, -3*x = 4*i - 7 for x.
5
Solve -39 = 2*z + 5*j, 22*z - 27*z - 17 = j for z.
-2
Solve 2*l - 8 = -2*q, -15 = -62*q + 59*q for l.
-1
Solve -17 = -p - 3*s - s, 2*s + 2 = -4*p for p.
-3
Solve 40*u + 47 = 45*u - 2*r, 78 = -2*u - 8*r for u.
5
Solve 4*s + 117*j = 124*j - 15, 5*s = 4*j + 5 for s.
5
Solve -48 = -2*k - 5*z, 4*k + 1473 = 4*z + 1541 for k.
19
Solve 0 = -4*d - 5*t - 12, 3*d + 10 = -3124*t + 3120*t for d.
2
Solve -3*p + 5 = 5*o, -28733 = -8*o - 3*p - 28734 for o.
-2
Solve 12136*t - 12137*t = -2*g + 7, -4*t = 4*g - 20 for g.
4
Solve -3 = -3*v - q, -v + 15 = -2*q + 7*q for v.
0
Solve 2*l + 19096 - 19112 = 3*c, 3*l = -4*c + 41 for c.
2
Solve -p - 4 = -5*m, -3*p + 22*m = 26*m - 7 for p.
1
Solve -5*n - 10 = l + 6*l, 71*l = 76*l + 5*n for l.
-5
Solve 3*t = 541*h - 542*h - 56, 2*t + 24 = 2*h for t.
-17
Solve -5*u + 24 - 7 = 2*o - 2, -4*o + 2*u = -2 for o.
2
Solve 39 = 5*t - 4*b + 36, 2 = 4*t - 3*b for t.
-1
Solve 3*h = v - 49, -10768*h + 2*v + 46 = -10770*h for h.
-18
Solve -7 = k + 2*v, 3*v + 28 = 20*k - 18*k for k.
5
Solve 31*v - 36*v + t = -34, 5*v + 3*t - 38 = 0 for v.
7
Solve 5*f = 2*w - 19, -7*f - 812 = w - 793 for w.
2
Solve -113*s + 117*s + 6 = 6*t, 5*t + 5*s = 5 for t.
1
Solve | {
"pile_set_name": "DM Mathematics"
} |
t y(o) = -o**2 - 2. Let d(r) = h(r) - 4*y(r). Give d(0).
-39
Let i(b) = -6. Let n(o) = -o - 17. Let q(d) = -17*i(d) + 6*n(d). Let y = 1208 + -1206. What is q(y)?
-12
Let a(j) = -26*j - 10. Let p(d) = -6*d - 2. Let y(i) = 3*a(i) - 14*p(i). Calculate y(-5).
-32
Let x(k) be the second derivative of 5/6*k**3 + 1/60*k**5 + 0*k**2 - 6*k - 1/4*k**4 + 0. Let m(a) be the second derivative of x(a). Determine m(4).
2
Let w(j) = 2*j**3 + 5*j**2 + 3*j. Let r(u) = 3*u**2. Let t be r(-3). Suppose -4*f = -5*f + 3*d + 9, t = -5*f - 3*d. Calculate w(f).
-18
Let r(h) = 6*h**3 - h**2 - h. Let g(s) = -32*s**3 + 2*s**2 + 2*s - 2. Let i(n) = g(n) + 5*r(n). Give i(-3).
34
Let s(i) = 3*i - 24. Let l(k) = 21*k + 147. Let o be l(-7). Calculate s(o).
-24
Let c(t) be the first derivative of -t**2/2 + 9*t - 94. Suppose o - 2*g = -2*o, -3*o = -5*g. Give c(o).
9
Let i(y) = y**3 + 4*y**2 - 5*y + 7. Let o(p) = -2*p**3 - 3*p**2 + 5*p - 7. Let u(l) = l - 18. Let m be u(16). Let t(r) = m*o(r) - 3*i(r). What is t(5)?
-7
Let x = -84 - -75. Let r be ((-2)/(-3))/(x/54). Let h(j) = -j**2 - 7*j - 5. Give h(r).
7
Let z(u) = u - 26. Let a be 17 + (2/2)/((-21)/84). Calculate z(a).
-13
Let v(a) = 3 + 2 - 13 - 3*a + 1 + 8. Give v(-7).
22
Let h be (-8)/(-16)*(-5 - -9). Let b(d) = 4 + 2*d**3 - 1 - 2. Determine b(h).
17
Let n = -22 + 16. Let y(g) be the second derivative of -5*g**3/6 - 3*g**2 + 2*g - 2. Calculate y(n).
24
Let g(b) = -6*b**3 - 5*b**2 + b - 2. Let p(v) = -19*v**3 - 17*v**2 + 3*v - 7. Let l(x) = -7*g(x) + 2*p(x). Give l(1).
4
Let y(h) = -2*h**2 + 2*h - 3. Suppose v + 6 = 8. What is y(v)?
-7
Let m(r) = -11*r + 11*r + 4*r + 2*r - r. Determine m(5).
25
Let g(k) be the second derivative of -k**5/20 + 5*k**4/6 - 4*k**3/3 - 9*k**2/2 - 2*k. Suppose -6*p + 58 = 4. Give g(p).
0
Let g(a) = -5*a + 8. Let s(i) = -2*i + 3. Let m(t) = -3*g(t) + 8*s(t). Let p = -3511 + 3509. Give m(p).
2
Let z(j) = -j**3 - 9*j**2 + 7*j + 9. Let c(r) = -r**3. Let n(s) = -2*c(s) + z(s). Let l be (-8)/12*(1 + 2). Let b = 10 + l. What is n(b)?
1
Suppose 2 = 2*k + 4*h, 3*k - h = k + 12. Let v(b) = 237*b - 481*b + 5 + 248*b - b**2. What is v(k)?
0
Let d(o) be the second derivative of -o**5/20 - o**4/3 - o**3/6 + 3*o**2/2 - 4*o. Suppose 15*r - 17*r - 6 = 0. What is d(r)?
-3
Let h(m) = -m**3 - 6*m**2 - 3*m - 6. Suppose -4*l - 26 = 5*w, -4*w - 4*l - 6 = 14. Determine h(w).
12
Let x(k) = 3. Let d(a) = -1. Let y(c) = 7*d(c) + 2*x(c). Let b(m) = -6*m + 11. Let r(g) = -b(g) - 6*y(g). Give r(4).
19
Let s(u) = 4*u + 6. Let d = 276 + -279. Give s(d).
-6
Suppose 3 + 29 = 16*n. Let h(q) = q**3 + q**2 + q - 1. Give h(n).
13
Let j be 22/(-5) + (-12)/(-30). Let p be j/6 - 23/(-3). Let n(l) = -l**3 + 6*l**2 + 9*l - 2. Calculate n(p).
12
Suppose 23 = 32*c - 41. Let k(n) = n**3 - 3*n**2 - 2. Give k(c).
-6
Let h(d) = d - 1. Suppose 0*j + 9*j - 63 = 0. Determine h(j).
6
Let c(r) = r**3 + 12*r**2 - 11*r + 7. Let n = -1030 + 1017. Calculate c(n).
-19
Let c(r) be the third derivative of -7/60*r**5 - 5/24*r**4 + 1/2*r**3 + 0 + 0*r + 30*r**2 - 1/120*r**6. Calculate c(-6).
-3
Let w(f) = -47*f**3 + 97*f**3 + f**2 - 49*f**3 - 2 + 2*f**2. Determine w(-5).
-52
Let j(o) be the second derivative of -o**5/2 - o**4/6 - o**3/6 + 8*o + 3. Suppose 4*m + 2 = -2. Determine j(m).
9
Let w(b) = 6*b - 9. Let o(m) = m - 1. Let s(r) = 14*o(r) - 2*w(r). Suppose 9 = 5*j - 6. Suppose 0 = 2*f + j*i - i + 6, 8 = 4*i. Calculate s(f).
-6
Let t(m) = m - 1. Let r = -82 - -80. Let a(i) = -i**2 - 1. Let h(z) = r*t(z) + a(z). Give h(-3).
-2
Let d(p) be the second derivative of p**4/12 - 3*p**3/2 - 2*p**2 + 4*p. Let m be ((-16)/12*6)/(1 + -2). What is d(m)?
-12
Suppose 0 = 5*f + 23*f. Let c(q) = q**3 - q**2 + 2*q + 9. Determine c(f).
9
Let g = -2503 - -2508. Let n(y) be the third derivative of 0 - 1/8*y**4 + 0*y + y**2 - 1/60*y**g + 1/3*y**3. What is n(-4)?
-2
Let f(h) = -h**2 + h**3 - 5 + 9*h**2 - 3*h**2. Let x be (68/5)/2*-5. Let i be (-6)/42 - x/(-7). What is f(i)?
-5
Let p(v) = -14*v**3 + 2*v**2 + 1. Let c(y) = -27*y**3 + 4*y**2 + 3. Let r(l) = 2*c(l) - 5*p(l). Let s be (8 + 90/(-10))/1. Give r(s).
-17
Let q be (1 + 1)*(5 - 3). Suppose 3*f - 6 = q*j, -6*f - 5*j = -3*f - 33. Let t(v) = -2 + f*v + 4*v - 12*v. Determine t(-2).
2
Let w(f) be the third derivative of -f**9/60480 + f**8/2880 - f**7/1680 - f**6/144 - 19*f**5/60 + 2*f**2. Let a(g) be the third derivative of w(g). Give a(6).
13
Suppose 0 = 2*n + 5*o - 6, 2*n + 3*n - 15 = -2*o. Let h(q) = -2*q - 3. Let g(r) = -6*r - 9. Let u(s) = 6*g(s) - 17*h(s). Give u(n).
-9
Let b(n) be the first derivative of -2*n**3/3 + 2*n**2 - 16*n + 18. Let c(u) be the first derivative of b(u). Calculate c(3).
-8
Let p(q) = q**2. Let c(j) = j**2 + 1. Let u(f) = -c(f) + 6*p(f). Suppose 2*r = m - 4, 5*m = 77*r - 73*r + 14. Determine u(r).
4
Let g be (-22)/8 + 11/(-44) - -2. Let o(r) = -3*r + 1. What is o(g)?
4
Let q(v) = -2*v**3 - 45*v**2 - 22*v + 4. Let a be q(-22). Let i(m) = m - 1. Give i(a).
3
Let d(v) = -v + 4. Let a be (-11 - -12)*(-1 - -9). Let r be d(a). Let u(q) = q**2 + 2*q - 4. Give u(r).
4
Let y = 9 - 13. Let r(k) be the second derivative of k**3/3 + k**2 + 92*k. Determine r(y).
-6
Let o(h) be the second derivative of -2*h**2 + 1/12*h**4 + 0 + 10*h - 1/2*h**3. What is o(5)?
6
Suppose 2*i - 14 = 2*f - 6*f, 4*f + 3*i - 19 = 0. Let s(k) = -5 - f - 2*k - k + k. Let o(r) = -r - 18. Let d be o(-13). Calculate s(d).
4
Let d be ((-2)/(-6))/((-10)/(-150)). Suppose -d*x = -2*x - 2*x. Let m(z) = -z**2 + z - 12. Calculate m(x).
-12
Let g = 3 - 10. Let r(s) be the second derivative of -s**4/12 - 3*s**3/2 - 7*s**2/2 + s + 1. Give r(g).
7
Suppose g - 4*g + 3 = 0, -g + 2 = s. Let j(h) be the third derivative of -5*h**4/24 + h**3/6 + 12*h**2. Give j(s).
-4
Suppose 3*a - 219 + 216 = 0. Let v(t) be the second derivative of t**3 - t. Calculate v(a).
6
Let g(b) = -b**3 + 4*b**2 - 2*b. Let a(m) = -3*m - 1. Let f be a(-1). Suppose -f - 7 = -3*v. Suppose 0 = 2*x + j - 6 + 1, -v*j = -3*x + 21. What is g(x)?
-8
Let c(x) = x + 11. Let s(d) = 2*d - 56. Let v be s(25). What is c(v)?
5
Let p be 33/11 + -1*1. Let f(k) = -k**3 + 7*k + 3 + 1 - 2*k + 1 - 4*k**p. Calculate f(-5).
5
Suppose -263*q + 260*q + 18 = 0. Let l(b) be the third derivative of -b**3 + q*b**2 + 0 - 1/24*b**4 + 0*b. Determine l(-5).
-1
Let x(n) be the second derivative of -n**3 + 0 - n**2 - 1/20*n**5 + 29*n + 1/2*n**4. Determine x(5).
-7
Let p(c) = c + 7. Let s = 7 - -12. Let g = 13 - s. Give p(g).
1
Let k(w) = -w**2 + 6*w + 6. Let v be k(6). Let t(d) = d**2 - d. Let r(o) = 5*o**2 + 6. Let q(u) = r(u) - 6*t(u). Determine q(v).
6
Let f(t) = -t + 4 - 2 + 0*t. Suppose -x - 3*x = -24. Suppose -8*w + 10 = -x*w. Give f(w).
-3
Let g(a) = a + 22 - 2 + 0*a - 8 - 9. Let u = 5 + -5. Suppose -2*m - 9 + 1 = u. Determine g(m).
-1
Let f(v) = v**2 - v - 3. Let w be (-14)/2*(-2)/(-1). Let i = w + 16. Suppose -5*u = l - 15 + i, -4*u - l + 10 = 0. Give f(u).
3
Let x(r) = 3*r - 19. Let w be x(6). Let z be 5/(-20)*(-7 + w). Let v(t) = t**2 + t + 2. What is v(z)?
8
Let r(y) = -2*y**2 - 8*y + 2. Let h(g) = -4*g + 171. Let j be h(44). Give r(j).
-8
Let c(q) = -q + 1. Let i be (-64)/(-3)*(-63)/(-42). Suppose -2*a - i - 4 = 0. Let t = -17 - a. What is c(t)?
0
Let z(x) = 4*x**2 - 7*x**2 - 9 - 4*x**2 + 0*x**3 + x**3 + 8*x. Let d be 3*((-1)/1 + 4). Let o = d + -3. Give z(o).
3
Let g = 89 + -66. Suppose 5*c = -g - 7. Let d(y) be the first derivative of 3*y**2/2 + 8*y - 1. Calculate d(c).
-10
Let f = 69 + -69. Let j(v) = f - 8 + v + 8. Determine j(2).
2
Suppose -2*f = -3*f + 4*c + 14, 2*c = -3*f + 14. Let o be 225/5*f/9. Suppose o - 10 = 5*i. Let y(b) = b**3 - 4*b**2 - 2*b - 2. Determine y(i).
-10
Let h(x) = -x**2 + 5*x - 10. Suppose 0 = -2*g + 5*n + 14, 3*g - 2*n + 6*n = 21. Determine h(g).
-24
Let w(d) = -4*d + 2. Let b(z) = -5*z + 2. Let u(j) = -3*b(j) + 4*w(j). Suppose -2*p + 37 = -133. Let i = 80 - p. Determine u(i).
7
Suppose -20 = -4*s, 5*n + 5*s - 3*s = 30. Let m(v) = 0*v - n*v - 5*v. What is m(-3)?
27
Let y(b) be the third derivative of b**6/120 + 7*b**5/60 - b**4/24 + b**3/6 - 9*b**2. Let m be y(-7). Let o(w) = w - 7. What is o(m)?
1
Suppose -4*x + 23 + 45 = 0. Suppose 0 = 13*y - 108 + x. Let p(m) = -m + 6. What is p(y)?
-1
Let u be (-1)/(-3) - (-32)/12. Let h(i) = 13*i + u + 9*i + 14*i - 34*i. Determine h(-3 | {
"pile_set_name": "DM Mathematics"
} |
What is the derivative of 606*j**2 + 22*j**4 + 601*j**2 + 595*j**2 - 1812*j**2 - 988 wrt j?
88*j**3 - 20*j
Suppose 11 = 5*l - 14. Suppose -6*i = -3*u - 7*i + 4, 2 = l*u + 4*i. Differentiate -2*v**2 - 3*v**u - 256 + 209 + v with respect to v.
-10*v + 1
Suppose 5*c - 85 = 35. Differentiate -20 + 0*h**4 + 4*h**4 - c*h**3 + 22*h**3 with respect to h.
16*h**3 - 6*h**2
Find the second derivative of 44*d**5 - 9*d**5 - 27*d**5 + 2*d**4 + 18 + 3*d - 13*d**5 + 0*d**4 wrt d.
-100*d**3 + 24*d**2
Let c = -175 - -176. Find the third derivative of -c - 58*o**3 + 17*o**2 + 16*o**3 + 17*o**3 wrt o.
-150
Let g = 2019 + -2019. Let h(m) be the second derivative of 0 + 17*m - 19/20*m**5 - 7*m**2 + 0*m**3 + g*m**4. Differentiate h(t) with respect to t.
-57*t**2
Let i(j) = 18*j**2 + 32*j. Let b(c) = c**2 + c + 1. Suppose -4*w - 9*w = -13. Let p(r) = w*i(r) + 2*b(r). What is the second derivative of p(z) wrt z?
40
Find the first derivative of -452 + 823*h**3 - 713 + 15*h + 296*h**3 - 287 - 16*h wrt h.
3357*h**2 - 1
Let l be (((-1152)/(-27))/(-16))/(-2). Let z(c) be the first derivative of 0*c**2 + l*c**3 + 12 + 4*c. Find the first derivative of z(h) wrt h.
8*h
Let z(f) = -55*f - 17. Let m(x) = -x. Let d(c) = 36*c + 36. Let i(r) = d(r) - 72*m(r). Let b(w) = -5*i(w) - 9*z(w). Differentiate b(t) with respect to t.
-45
Let w(k) = -2*k + 45. Let j be w(20). What is the second derivative of -42*y + y**3 + 43*y**4 + j*y + 15*y wrt y?
516*y**2 + 6*y
Let j be 3 + -8 + (-18)/(-3). Let m(k) = 4*k**2 - 4*k + 4. Let o be m(j). What is the third derivative of 39*d**5 - 43*d**2 - 53*d**4 + 53*d**o wrt d?
2340*d**2
Find the third derivative of -80 - 5663*d**4 + 4*d**2 - 418*d - 423*d + 1257*d - 418*d wrt d.
-135912*d
Let f(t) = 5355*t**3 + 13*t**2 - 245*t + 4. Let q(h) = h**3 - 5*h**2 - h - 1. Let r(u) = f(u) + 4*q(u). What is the third derivative of r(c) wrt c?
32154
What is the first derivative of -129*d**3 - 232*d - 332*d**3 + 152*d**3 + 234*d - 282*d**3 - 7822 wrt d?
-1773*d**2 + 2
Let r = -87 + 128. Let z = -36 + r. Differentiate 4*p - 2*p + 4 - z*p + 9*p with respect to p.
6
Let b = -13 - -15. Let l(q) = 2*q. Let p(z) = 24*z - 10. Let o(k) = b*p(k) - 22*l(k). Differentiate o(y) with respect to y.
4
Let d = -111 + 175. What is the derivative of 12 + 32 + d*v**4 + 48 wrt v?
256*v**3
Let t = 46 + 313. What is the second derivative of 383*d**4 + 3*d + d**2 - 2 - 3*d**2 - t*d**4 wrt d?
288*d**2 - 4
Let w(y) be the first derivative of -1/4*y**4 - 10*y**2 - 4/5*y**5 + 10 + 0*y**3 - 2*y. Find the second derivative of w(x) wrt x.
-48*x**2 - 6*x
Let z(h) = -1095*h**3 + 6*h**2 + 6*h + 4041. Let r(b) = -1097*b**3 + 7*b**2 + 7*b + 4043. Let i(v) = -6*r(v) + 7*z(v). Differentiate i(o) wrt o.
-3249*o**2
What is the second derivative of 896*a**2 + 1224*a - 896*a + 170*a**2 - 143*a**2 wrt a?
1846
Suppose -278 - 1126 = -26*r. What is the second derivative of -4 + v**2 + 6*v**4 + r*v**4 + 6*v + 8 wrt v?
720*v**2 + 2
Find the second derivative of -1009398*t**5 + 5*t**2 + 14 + 2*t**3 + 1009441*t**5 + 0*t**3 - 30*t wrt t.
860*t**3 + 12*t + 10
Let c(w) be the third derivative of -116*w**5/15 + w**4/24 + 559*w**3/6 - 4*w**2 + 44*w. Differentiate c(f) wrt f.
-928*f + 1
Let k = 26 + -23. Suppose 0 = 8*y + k*y - 44. What is the second derivative of 24*h - 9*h**4 + 5*h**4 - 7*h**4 - 25*h**y wrt h?
-432*h**2
Suppose -1303 = -22*t + 1381. What is the second derivative of -12*k**3 + 415*k - 3*k**2 - 214*k - t*k wrt k?
-72*k - 6
Find the third derivative of 234*h**6 + 876 - 487 - 4*h**2 - 472 wrt h.
28080*h**3
Let p(g) be the third derivative of -g**9/252 + 493*g**7/210 - 199*g**5/10 - 100*g**2 - 1. What is the third derivative of p(d) wrt d?
-240*d**3 + 11832*d
Find the second derivative of -1797*n**5 + 46*n**4 + 1 + 36*n**4 + 42*n**4 - 124*n**4 - 1679*n wrt n.
-35940*n**3
Differentiate -1474*q**3 + 11*q**2 + 452 - 10*q**2 + 873 wrt q.
-4422*q**2 + 2*q
Let b(m) be the second derivative of m**7/21 + 44*m**5 + 578*m**3/3 + m**2/2 + 33*m + 42. Find the second derivative of b(i) wrt i.
40*i**3 + 5280*i
Let t be ((-18)/(-4) - 3)/(8/24*3). Let h(a) be the first derivative of 0*a**3 - 20 + 0*a**2 + 20*a + t*a**4. What is the derivative of h(f) wrt f?
18*f**2
Let m be ((-259)/14 + 2)*-2. Find the third derivative of 74*f**5 - 3*f**3 - m*f**2 + 2*f**3 - 79*f**2 + 6*f**5 wrt f.
4800*f**2 - 6
Let t(d) be the second derivative of d**6/15 - d**5 + 579*d**2/2 - 1327*d. What is the derivative of t(o) wrt o?
8*o**3 - 60*o**2
Differentiate 1206 - 284*l + 195*l**2 + 284*l + 595 wrt l.
390*l
Let z(b) be the first derivative of 3*b - 16/3*b**3 + 0*b**2 + 1/4*b**4 + 122. Differentiate z(v) with respect to v.
3*v**2 - 32*v
Suppose 4*u + 4*g - 260 = -0*g, -2*g - 346 = -5*u. Suppose -13*r = -u - 36. What is the second derivative of r*i**5 - 6*i + 18*i + 0*i**5 wrt i?
160*i**3
Suppose -4*x = -78 - 142. Find the first derivative of c**2 - x - 84*c + 3 + 109*c wrt c.
2*c + 25
Suppose -5*p + 2*p = g + 11, -3*g + 37 = -5*p. Suppose g*r + 45 = 121. Find the first derivative of 34*n**2 - 34*n**2 + 5*n**4 + r + 7*n**4 wrt n.
48*n**3
Let a(q) be the first derivative of 124*q**7/7 - 5*q**4/4 + 311*q**3 - 1374. Find the third derivative of a(g) wrt g.
14880*g**3 - 30
Let p = 119 + -117. What is the third derivative of -2*d**4 - 8*d**2 + 80*d**2 + 21*d**2 + 4*d**5 - 3*d**4 + 144*d**p wrt d?
240*d**2 - 120*d
Suppose -376 + 158 = -2*d. Differentiate d*u + 53 + 28 - 14 wrt u.
109
Find the second derivative of -1370*w - 198*w**3 - 43*w**3 + 23*w**3 wrt w.
-1308*w
Let v(d) be the third derivative of -17*d**7/105 + d**6/40 - 89*d**4/6 + 2*d**2 - 196*d. Find the second derivative of v(q) wrt q.
-408*q**2 + 18*q
Suppose -i = -4*m - 599, -4*i + 5*m - 3*m + 2340 = 0. Find the first derivative of -583*o + i*o - 17*o**2 - 61 wrt o.
-34*o
What is the third derivative of 103*i**2 - 496*i**3 - 864*i**2 + 374*i**3 + 663*i**3 + 1659*i**3 wrt i?
13200
Let q = -295 + 297. What is the third derivative of -606*n + 11*n**6 - 78*n**6 + 38*n**q + 608*n wrt n?
-8040*n**3
Let g(z) be the first derivative of -7/3*z**3 - z**2 - 27*z + 1/5*z**5 + 0*z**4 + 5. Find the second derivative of g(w) wrt w.
12*w**2 - 14
What is the third derivative of -398*u**2 - 2*u**4 + 5*u**4 + 10255*u**3 - 5054*u**3 - 5044*u**3 wrt u?
72*u + 942
Let a = -24 + 20. Let k be (7/a + 1)*-2*40. Find the third derivative of 81*c**3 - 6*c**2 - 166*c**3 + k*c**3 wrt c.
-150
Differentiate -198 + 2757*u**2 + 4*u - 2*u + 2459 + 1377 + 4220 wrt u.
5514*u + 2
Find the third derivative of 0*v**2 + 6837*v - 304*v**6 - v**2 - 6711*v wrt v.
-36480*v**3
Let x(l) be the first derivative of 58*l**5/5 - l**4/2 - 12*l**3 - 468*l**2 + 1054. Find the second derivative of x(v) wrt v.
696*v**2 - 12*v - 72
Let p(l) be the third derivative of 739*l**6/120 - l**4/24 + 233*l**3/6 + 1258*l**2. Find the second derivative of p(o) wrt o.
4434*o
What is the third derivative of 22 + 15 + 17 + 28*l**5 - 10*l**2 + 13 - 1191*l**5 wrt l?
-69780*l**2
Let u(p) be the first derivative of -19*p**4/4 + 125*p**3/6 + 95*p + 1. Let a(h) be the first derivative of u(h). Find the second derivative of a(w) wrt w.
-114
Let z(v) be the first derivative of -5359*v**2/2 - 6150*v + 5305. Differentiate z(n) with respect to n.
-5359
Find the second derivative of 22*v + 11775*v**2 - 10512*v**2 + 16 - 6 wrt v.
2526
Let b(x) = 895*x + 2127. Let t(a) = -4484*a - 10634. Let c(y) = -14*b(y) - 3*t(y). What is the derivative of c(n) wrt n?
922
Let s(w) = -3152*w**4 + w**3 - 4*w**2 + w + 49. Let t(c) = -c**4 - c**3 - c + 10. Let j(x) = s(x) + t(x). Find the third derivative of j(k) wrt k.
-75672*k
Let s(n) = 199*n**3 - n**2 - 547*n + 2. Let p(t) = 4*t**3 - t**2 + t + 2. Let w(a) = p(a) - s(a). What is the second derivative of w(d) wrt d?
-1170*d
Let z = -203 - -236. What is the third derivative of -1 - 1 - 10*t**5 - 7754*t**4 - z*t**2 + 7754*t**4 wrt t?
-600*t**2
Let c(z) be the second derivative of -1331*z**7/42 - 155*z**3/6 - 75*z + 8. What is the second derivative of c(h) wrt h?
-26620*h**3
Let p(y) be the first derivative of -136*y**5 + 1822*y**3/3 - 2304. Find the third derivative of p(v) wrt v.
-16320*v
Let b = 33 - 29. Suppose 2*f = b*y + 12, -2*f = -f + 2*y - 2. What is the second derivative of 4*o**4 + 5*o**f - 10*o + 3*o - 2*o**4 wrt o?
84*o** | {
"pile_set_name": "DM Mathematics"
} |
base 7
-10662303
What is -192547 (base 13) in base 2?
-10011010101100101000
What is -76573 (base 9) in base 3?
-2120122110
-1313023211 (base 4) to base 8
-1671345
Convert 1067758 (base 11) to base 10.
1869634
10010000011110000101 (base 2) to base 10
591749
-245305320 (base 7) to base 12
-5219310
Convert 164177 (base 9) to base 6.
2101454
Convert 66a54 (base 16) to base 6.
13002244
113321202 (base 4) to base 2
10111111001100010
Convert 1127a0 (base 11) to base 12.
87927
Convert 52488 (base 10) to base 9.
80000
-1215240204 (base 6) to base 15
-135e821
Convert -21115547 (base 8) to base 3.
-22110102200002
-588302 (base 9) to base 14
-92d22
Convert -777446 (base 8) to base 10.
-261926
Convert 204ef (base 16) to base 11.
90475
What is -3020504 (base 7) in base 8?
-1273156
What is -10010100110110101000 (base 2) in base 8?
-2246650
Convert 799845 (base 14) to base 12.
1476005
Convert -5aa48 (base 16) to base 13.
-cccb5
42441001 (base 5) to base 15
71501
What is -3132121223 (base 4) in base 16?
-de66b
Convert 82bb6 (base 12) to base 3.
22200122210
What is 1d1b903 (base 14) in base 9?
30408835
Convert -1005444 (base 7) to base 8.
-351450
-1101020220101 (base 3) to base 6
-23414531
What is -51c6b1 (base 13) in base 8?
-7227344
-23441544 (base 6) to base 14
-1525cc
Convert -14823 (base 13) to base 14.
-10186
-99a18 (base 12) to base 8
-615564
Convert -1b2fb9 (base 16) to base 11.
-1007678
What is 1100010011111100000 (base 2) in base 7?
3300110
What is 2212022110111 (base 3) in base 2?
101110011100001100000
Convert 1061 (base 14) to base 4.
230031
Convert -11212100021222 (base 3) to base 9.
-4770258
What is f94fb (base 16) in base 3?
1220212210110
What is 4a302 (base 14) in base 13?
64916
23ed9c (base 15) to base 10
1720947
What is -44eae (base 15) in base 12?
-a6b02
What is 87593d (base 14) in base 13?
c47b36
Convert 1765ba (base 12) to base 4.
1202323132
What is 1011111000010000001101 (base 2) in base 9?
5765536
What is -399578 (base 10) in base 8?
-1414332
1f462 (base 16) to base 5
13044343
What is -17785b (base 12) in base 8?
-1433407
Convert 1072 (base 13) to base 7.
6451
Convert 10b63c (base 15) to base 2.
11000010110011010011
What is 192a27 (base 12) in base 4?
1223200333
-101122300012 (base 4) to base 14
-86c006
Convert -b219 (base 16) to base 8.
-131031
What is -2b7934 (base 16) in base 2?
-1010110111100100110100
Convert -360124 (base 7) to base 11.
-44835
What is 4ca94 (base 15) in base 7?
2041264
70743 (base 9) to base 4
23113011
Convert -12021111021122 (base 3) to base 15.
-3a602e
What is 1012211010102102 (base 3) in base 15?
17e7d58
Convert -199465 (base 10) to base 16.
-30b29
-4245050 (base 8) to base 4
-10110220220
What is -44040 (base 11) in base 3?
-10020200212
What is -3909614 (base 10) in base 12?
-1386612
-5343431 (base 6) to base 9
-440201
Convert 12123020 (base 5) to base 4.
123313113
Convert 143215243 (base 6) to base 5.
1224113410
-1123021311 (base 5) to base 16
-26e26b
-63e9ab (base 15) to base 6
-245545425
Convert -da734 (base 15) to base 16.
-a94fb
1632826 (base 11) to base 5
1203113243
Convert -144d4 (base 15) to base 5.
-4041344
What is -12c3bc (base 14) in base 6?
-21521322
What is d282f (base 16) in base 11?
539909
What is -410151 (base 7) in base 16?
-11052
What is 52350351 (base 6) in base 4?
11303303323
-15b3950 (base 12) to base 13
-c042a8
What is 50133 (base 11) in base 13?
27513
199b1 (base 14) to base 11
4494a
Convert 100011000011001110111100 (base 2) to base 4.
203003032330
Convert 15419 (base 14) to base 16.
cecf
-b951 (base 13) to base 7
-135041
4aa21 (base 16) to base 5
34240242
What is 143433530 (base 6) in base 9?
5534140
What is 40b79 (base 13) in base 11?
7a33a
Convert -6673000 (base 8) to base 12.
-729594
ab7ccb (base 13) to base 9
7544223
What is 139dc2c (base 14) in base 9?
18830301
What is -28464 (base 11) in base 14?
-10a7a
-20213021322 (base 4) to base 15
-2e8d70
What is 11131234 (base 7) in base 11?
5aa580
What is -1222222200222 (base 3) in base 11?
-66643a
Convert 11414135 (base 7) to base 8.
3671054
Convert 1938 (base 15) to base 4.
1111031
-1131222333 (base 4) to base 8
-1355277
-a4a4c7 (base 13) to base 5
-1441144413
What is -38a10 (base 11) in base 16?
-d9f0
4a9c05 (base 13) to base 11
1014886
What is 4a1acd (base 14) in base 6?
130240501
Convert -3251350 (base 6) to base 16.
-27a32
Convert 5e6dd5 (base 15) to base 14.
85c720
390fb9 (base 16) to base 9
7028655
-1c60606 (base 14) to base 4
-312032132332
Convert -20477 (base 14) to base 8.
-227631
-111101111101001110010010 (base 2) to base 7
-255023320
What is 1110110210 (base 3) in base 5?
1410101
-332212132 (base 4) to base 12
-10447a
What is 5726436 (base 8) in base 4?
11322310132
Convert cce19 (base 15) to base 11.
405267
What is 1037562 (base 8) in base 16?
43f72
-5561406 (base 9) to base 5
-1231233000
What is -21455 (base 11) in base 14?
-b4d7
What is 8a4743 (base 13) in base 2?
1100011101010110111100
Convert 21a1957 (base 13) to base 5.
10120024221
What is 3597c (base 13) in base 9?
158743
1a22d (base 14) to base 10
66289
-3555ba (base 13) to base 7
-13532511
-54031 (base 10) to base 13
-1b793
What is 133840 (base 10) in base 14?
36ac0
8243b (base 14) to base 7
2444304
What is -59d9a (base 15) in base 5?
-33132240
-5a98b8 (base 14) to base 15
-413671
What is -11101010001100101101100 (base 2) in base 13?
-1789078
-91884aa (base 11) to base 4
-331323100020
Convert 21500 (base 8) to base 15.
2a19
What is -6b3d8 (base 15) in base 9?
-570715
30382 (base 14) to base 12
57126
What is 43023226 (base 7) in base 9?
6777054
What is 1001110011011011001 (base 2) in base 14?
850db
200803 (base 10) to base 2
110001000001100011
11000010001000011100 (base 2) to base 12
3241b8
Convert -b13a82 (base 13) to base 15.
-56614b
What is -2561399 (base 11) in base 13?
-bc5067
What is -2523107 (base 8) in base 7?
-5634526
10001101100010011000101 (base 2) to base 6
243223421
Convert 425616 (base 7) to base 13.
27924
4770170 (base 11) to base 16
7ee57e
-21003234 (base 5) to base 15
-360ce
-230201102 (base 4) to base 2
-101100100001010010
15114300 (base 6) to base 11
328151
131423124 (base 5) to base 11
407a53
1300340 (base 5) to base 11
17944
What is 14421122 (base 6) in base 5?
112004042
-15634772 (base 9) to base 3
-112201011212102
Convert 33212230 (base 4) to base 5.
4021131
-133523 (base 6) to base 14
-47b5
What is -1020036 (base 7) in base 3?
-20020000020
What is 1095a18 (base 11) in base 12?
78203a
Convert -22122120112 (base 3) to base 4.
-221210210
-589674 (base 10) to base 5
-122332144
What is -110110110111010010 (base 2) in base 6?
-4452214
Convert 1703568 (base 14) to base 5.
10343203413
Convert 91a81 (base 14) to base 2.
1010101100101100001
-55b334 (base 14) to base 10
-2912018
2128689 (base 10) to base 4
20013230301
What is 1483637 (base 10) in base 16?
16a375
What is -110220011211 (base 4) in base 2?
-10100101000000101100101
-b6cb55 (base 15) to base 4
-201030000122
Convert 14302341 (base 7) to base 9.
2470513
What is 110011012031 (base 4) in base 2?
10100000101000110001101
-1014c9 (base 13) to base 14
-9a5bd
What is 8ced2 (base 15) in base 7?
3546410
What is 511030202 (base 6) in base 8?
41230072
-1cc78e (base 15) to base 3
-2122120220022
233c97c (base 13) to base 4
221200202100
-1001110010000000100 (base 2) to base 7
-2503310
What is 33519 (base 15) in base 10?
163149
-21403 (base 5) to base 3
-2000202
-5277e (base 15) to base 8
-776701
-3031231 (base 5) to base 9
-74118
22210120000 (base 3) to base 11
109125
Convert -187470 (base 9) to base 2.
-11100100100100011
-434401 (base 7) to base 9
-125224
What is -102100120201010 (base 3) in base 7?
-102202101
Convert 101001101111111100000 (base 2) to base 7.
14425301
What is -116549 (base 10) in base 7?
-663536
What is -30311113 (base 4) in base 9?
-80087
What is -545245510 (base 6) in base 16?
-952032
What is 382412 (base 14) in base 9?
3556418
Convert -3312211400 (base 5) to base 10.
-7147725
What is 776573 (base 13) in base 15?
3a879e
39045a (base 13) to base 5
322343204
What is 831233 (base 9) in base 11?
307439
Convert -135788 (base 11) to base 3.
-101210121001
-10010111111100011110100 (base 2) to base 8
-22774364
What is 1263514 (base 10) in base 12?
50b24a
203d7 (base 14) to base 7
442160
What is -4103 | {
"pile_set_name": "DM Mathematics"
} |
)/v*v))*v) assuming v is positive.
v**(-14)
Simplify (u**(2/5)/u)**(-20/11) assuming u is positive.
u**(12/11)
Simplify q**4*q/((q**(-3)/q*q)/q)*q assuming q is positive.
q**10
Simplify (m*m*m/m**(-9/4)*m)/(m*m/(m/(m/(m/(m*m**(-8/11)))))) assuming m is positive.
m**(219/44)
Simplify d**(3/8)/d**(3/2) assuming d is positive.
d**(-9/8)
Simplify (h**(-2/11))**0 assuming h is positive.
1
Simplify (o**(1/3)/o)/o**(-4)*(o**(-1/4))**(2/5) assuming o is positive.
o**(97/30)
Simplify q**10*((((q**7/q)/q)/q*q)/q)/q assuming q is positive.
q**13
Simplify ((y*y**2)/y**(-1))**(1/19) assuming y is positive.
y**(4/19)
Simplify (u**(2/7)/(u/(u*u*u**(-3/5))*u))/(u**(1/2))**(6/5) assuming u is positive.
u**(-32/35)
Simplify (j/j**(-1/2))**0*(j*j/j**(-2/3))/(j/((j*j*j/(j**(-2)*j))/j)) assuming j is positive.
j**(14/3)
Simplify ((l**(2/5)/l*l)/l)**(-5/11)*l**0/(l*l**(-1/3)) assuming l is positive.
l**(-13/33)
Simplify b**30*b**(-24) assuming b is positive.
b**6
Simplify m**7*m*m**35*m*m assuming m is positive.
m**45
Simplify (q**(1/9)/q)**(4/37) assuming q is positive.
q**(-32/333)
Simplify (h**42/h*h)**(-3/25) assuming h is positive.
h**(-126/25)
Simplify ((f/(f*((((f*f**(-13)*f)/f*f)/f)/f)/f))/(f**(-1/2)*f))**23 assuming f is positive.
f**(621/2)
Simplify (h**16*h)/(h**(-3/7)*h) assuming h is positive.
h**(115/7)
Simplify ((p**(1/21)*p)/p)**(-35) assuming p is positive.
p**(-5/3)
Simplify w**(-12)/(w/(w*w**(5/2))) assuming w is positive.
w**(-19/2)
Simplify (i**1)**(5/9)*(i*i**(1/4)*i*i)**(3/8) assuming i is positive.
i**(511/288)
Simplify w/w**(-3/2)*(w*w**17/w)/w assuming w is positive.
w**(37/2)
Simplify (c**(2/9)*c*c*c/(c**3*c))/(c*((c**(-1/4)/c)/c)/c*c*c*c)**(1/14) assuming c is positive.
c**(-419/504)
Simplify c**(-28)*c**20 assuming c is positive.
c**(-8)
Simplify ((n**(2/5))**(18/11))**(5/8) assuming n is positive.
n**(9/22)
Simplify o**5*o/(o*o**(-8)/o)*o*(o*o**(-2/21)*o)/((o*o**(-1))/o) assuming o is positive.
o**(376/21)
Simplify (j**(-1/4)*j)**(7/3) assuming j is positive.
j**(7/4)
Simplify (f*(f**(1/9)*f)/f*f)/f**5*(f/(f/(((f*f**(-1))/f)/f)))/(f/((f*f/(f/(f**3/f*f)))/f)) assuming f is positive.
f**(-26/9)
Simplify (u/u**(2/3)*u)**(-7) assuming u is positive.
u**(-28/3)
Simplify (t/t**(1/6)*(t**(3/2)/t)/t*t)**15 assuming t is positive.
t**20
Simplify p**(-11)/p*p*p/p**(-3/4) assuming p is positive.
p**(-37/4)
Simplify m**(-3/7)*m*m**9/m*m*m assuming m is positive.
m**(74/7)
Simplify (c*(c/(c*c**18))/c*c)**(-47) assuming c is positive.
c**799
Simplify (k**(2/5))**1 assuming k is positive.
k**(2/5)
Simplify (v/(v**(1/6)*v))**(1/15) assuming v is positive.
v**(-1/90)
Simplify (((d/d**(-4/7)*d*d)/d)/(d/(d**(-1/14)/d)))**(13/4) assuming d is positive.
d**(13/8)
Simplify ((i**15/i)/(i**(-11)/i))**(16/7) assuming i is positive.
i**(416/7)
Simplify (g/(g/g**(-2/3)))**(-2/7)/(g**(-2/13)*(g*g/(g**4*g))/g) assuming g is positive.
g**(1186/273)
Simplify d**(4/3)/((d*d/d**(-2/15))/d) assuming d is positive.
d**(1/5)
Simplify ((q**(-3))**(1/9))**(7/10) assuming q is positive.
q**(-7/30)
Simplify (p/(p**6/p))/p**(-3/4)*p*p**(1/14)*p/p**(-2/5) assuming p is positive.
p**(-109/140)
Simplify t**(-9/2)*t*(t*t**(-18))/t*t assuming t is positive.
t**(-41/2)
Simplify (u/(u**(-32)*u))/u**(2/181) assuming u is positive.
u**(5790/181)
Simplify (w*w**(-1/2)/w*w*w*w/w**(-8/5))**(-3/4) assuming w is positive.
w**(-123/40)
Simplify ((u/(u/(u*u/(u**(-1)/u))))/u*u*u)**(-6) assuming u is positive.
u**(-30)
Simplify (i**(4/9)/i*i**(1/4))/(i**(-4)/i**6) assuming i is positive.
i**(349/36)
Simplify (c*c**(-3/4))/(c*c**(-12)) assuming c is positive.
c**(45/4)
Simplify (q**(-9))**(2/31) assuming q is positive.
q**(-18/31)
Simplify (p**(-2/7))**9*(((((p**(-2/5)/p)/p)/p)/p)/p)**(-1/7) assuming p is positive.
p**(-9/5)
Simplify (t*t**(1/2))**(-1/2)/(t**(-3)/t*t*t/t**5) assuming t is positive.
t**(25/4)
Simplify (j/(j/j**(1/6)*j))/j**(3/7)*(j/j**(2/3))**(1/4) assuming j is positive.
j**(-33/28)
Simplify (a/a**2*a)**(3/16)/((a**1*a)/(a*a**(-4))) assuming a is positive.
a**(-5)
Simplify (((f/(f/(f/f**(2/3))*f)*f*f)/f)**46)**(6/7) assuming f is positive.
f**(92/7)
Simplify k**(-2)/k**(1/7)*(k**(5/4)*k)/(k*k/((k**(-3/2)/k)/k)) assuming k is positive.
k**(-151/28)
Simplify (o*(o**7*o*o)/o)**12 assuming o is positive.
o**108
Simplify (p**(2/3))**(-26)/(p/(p/p**1))**(1/27) assuming p is positive.
p**(-469/27)
Simplify t**(10/9)*t**(-8) assuming t is positive.
t**(-62/9)
Simplify c**(-7)/(c/(c*c/c**(1/6))) assuming c is positive.
c**(-37/6)
Simplify k**(-2/11)*k**(-35) assuming k is positive.
k**(-387/11)
Simplify (l**20/l)**(26/5) assuming l is positive.
l**(494/5)
Simplify (o/(o*o/(o*o/(o*o**(-4)))*o*o*o)*o)/o**1 assuming o is positive.
o
Simplify ((r**1*r)/r)**(1/27) assuming r is positive.
r**(1/27)
Simplify (l**1*l/l**(-2))/((l/(l/l**(-6)))/(l**4/l)) assuming l is positive.
l**13
Simplify (o**5*o)**6 assuming o is positive.
o**36
Simplify (f*f**(1/3))**(-4/17) assuming f is positive.
f**(-16/51)
Simplify ((b/(b*b*((b/b**(-1))/b*b*b)/b))/b)**14 assuming b is positive.
b**(-56)
Simplify (j**(-1))**35/((j/j**(1/6))/j**(-1/7)) assuming j is positive.
j**(-1511/42)
Simplify n**(-2/3)*n**(-1/16) assuming n is positive.
n**(-35/48)
Simplify (i*i**(1/18)*i)/(i**(1/4)/i) assuming i is positive.
i**(101/36)
Simplify (s/s**(-1))**6/((s*s/(s**(-1/3)*s))/(s**(-2/5)/s)) assuming s is positive.
s**(139/15)
Simplify i**5*(((i*i**(-2/3))/i)/i)/i*i*(i*i*i**(-3)/i)/i**(-2/7) assuming i is positive.
i**(34/21)
Simplify (t*t*((t*t/((t/(t/t**(3/2)))/t)*t)/t)/t*t*t**(3/4))**(-3/4) assuming t is positive.
t**(-51/16)
Simplify b**(-7/3)/b*b**0*(b/b**(-1/3))/(b**(-4/11)/b) assuming b is positive.
b**(-7/11)
Simplify (t/(t*(t*t**(-17))/t))**(-41) assuming t is positive.
t**(-697)
Simplify g/g**(-7/9)*g/(g/g**13) assuming g is positive.
g**(133/9)
Simplify (g/(g/g**(2/17)))/g**(3/4)*g**(-1/8)/g**(-6) assuming g is positive.
g**(713/136)
Simplify (h**(-3)/(h*h/h**(3/7)*h))**(-17) assuming h is positive.
h**(663/7)
Simplify (k/((k**(8/3)*k)/k*k))**(-3/11) assuming k is positive.
k**(8/11)
Simplify (v**(2/9))**(16/3)*v*v**6*v*v**(-1/15)*v assuming v is positive.
v**(1366/135)
Simplify ((m*m**(-7))/m*m**(-7))/(m**7/(m*m**(5/3))) assuming m is positive.
m**(-55/3)
Simplify (z*z**(-3/10))**(2/35) assuming z is positive.
z**(1/25)
Simplify (f**10)**(-1/18) assuming f is positive.
f**(-5/9)
Simplify s**(-14)/(s/s**(7/3)*s) assuming s is positive.
s**(-41/3)
Simplify k**(-13/3)/(((k*k**(6/23))/k)/k) assuming k is positive.
k**(-248/69)
Simplify ((z**0)**(-14))**(-4) assuming z is positive.
1
Simplify (a/((a*a/a**(2/5))/a))**(8/3)/(a**0*a*a*(((a/(a**(-6)/a))/a)/a)/a) assuming a is positive.
a**(-89/15)
Simplify (k**2/k**6)**(-39) assuming k is positive.
k**156
Simplify (w**(1/2))**36/(w*w**(2/15)*w**(-1/10)) assuming w is positive.
w**(509/30)
Simplify (s*s*s*s**4*s*(s/(s/(s*s*s/s**6*s*s)*s))/s)/(s**0)**(-13/4) assuming s is positive.
s**5
Simplify (k**(-2/3))**(-1/3)*(k*k**(-9))/k**0 assuming k is positive.
k**(-70/9)
Simplify ((r**(-2/5))**(3/23))**32 assuming r is positive.
r**(-192/115)
Simplify ((n**(-1/3)*n)**(-2/65))**(-11/2) assuming n is positive.
n**(22/195)
Simplify ((k/(k**20*k)*k)/k)/k*k**(-21)/k assuming k is positive.
k**(-43)
Simplify (a**(-16)/a*a)/(a*a**(-1/2)*a) assuming a is positive.
a**(-35/2)
Simplify l**(-1/8)/l**(-9) assuming l is positive.
l**(71/8)
Simplify (((m*m**0*m)/m)/(m**(2/5)*m))/((m**(-4/5)/m)/m*m*m**(-3/4)) assuming m is positive.
m**(43/20)
Simplify (h**(-6)/h**(-1/7))/(h**5*h**(-2/23)/h) assuming h is positive.
h**(-1573/161)
Simplify (h/(h*h**(-4/29)))/h*h**36 assuming h is positive.
h**(1019/29)
Simplify ((n**2)**(-1/7))**(-6/7) assuming n is positive.
n**(12/49)
Simplify (b/b**(3/2)*(b/(b/(b/b**(2/9)*b)*b))/b*b*b)/((b*(b**(-1)*b*b)/b*b)/b**(-1/5)) assuming b is positive.
b**(-83/90)
Simplify (i*i**(4/9)*i/(i**(-13)/i))**(-2/157) assuming i is positive.
i**(-296/1413)
Simplify ((y/(y/((y/y**(2/27)*y)/y))*y)/y)**7 assuming y is positive.
y**(175/27)
Simplify h/(h/(h*h*h*(h**(2/35)*h*h*h)/h*h*h))*h**(14/9)*h assuming h is positive.
h**(3028/315)
Simplify ((c/(c/(c**(-7)*c)*c*c))/(c*c**(-1/4)*c))**(-3/25) assuming c is positive.
c**(117/100)
Simplify (r*r*r**(2/9))/(r**15*r) assuming r is | {
"pile_set_name": "DM Mathematics"
} |
rder.
3/4, -0.05, c, -0.3
Suppose 10 = 5*p + 70. Let m be (2 - 0) + 21/p. Put 0.1, -1/3, m, 5 in decreasing order.
5, m, 0.1, -1/3
Let o = -0.59 + -0.11. Suppose -2*l = 1 - 7. Let u be ((-245)/60)/(-7) - 1/l. Put -0.5, u, o in increasing order.
o, -0.5, u
Suppose 2*v - 51 = 67. Let w = v - 63. Put w, 7, 0 in increasing order.
w, 0, 7
Let s = -11 + 12.4. Let d = s - 1.7. Let p = 17 + -12. Sort d, p, 0 in descending order.
p, 0, d
Let j = -6.8 - -7. Let p be ((-118)/1947)/(1/((-3)/2)). Put j, p, -2 in descending order.
j, p, -2
Let r be ((-87)/65)/(-3) - (-3)/(-5). Let m = 8280427/11930317 - 1/490287. Let h = -2/73 + m. Put h, -2, r in descending order.
h, r, -2
Let f = 17.2 + -17. Let t = -69 + 68.7. Put f, -0.2, -0.5, t in descending order.
f, -0.2, t, -0.5
Let u = 33.944 + -34. Let v = -2.944 + u. Sort 2/9, v, 0.09 in decreasing order.
2/9, 0.09, v
Let y be (8/(-6)*1)/(8/12). Let s = -5 + 4.7. Sort -3, s, y.
-3, y, s
Let p = -56.8 + -1.2. Put 0.4, 3, -3, p in decreasing order.
3, 0.4, -3, p
Let y(z) = z**3 - 2*z**2 - 6*z - 6. Let l be y(4). Let c be 4*(-2 + 5/4). Sort c, l, -1, 3 in descending order.
3, l, -1, c
Let t = 40 - 34. Let g = -6 + 1. Put g, t, 1 in increasing order.
g, 1, t
Let r = -77.9 - -78.9. Sort 0.06, 1/5, 9/4, r.
0.06, 1/5, r, 9/4
Let j = 305 - 310. Put 1, j, 15, -2 in descending order.
15, 1, -2, j
Let c = 63.92 - 65. Let s = c - -1. Sort 1/4, s, -0.1 in descending order.
1/4, s, -0.1
Let k be -24 + (0 - -14) - (0 - 6). Put 53, k, 2 in descending order.
53, 2, k
Let w = 2 + -4. Let a = -816 + 815.9. Sort 0.3, 0, a, w in decreasing order.
0.3, 0, a, w
Let b = -0.2 + 1.2. Let y(n) = 53*n + 26. Let p be y(4). Let g = 240 - p. Sort g, 0.2, b.
0.2, b, g
Let f be 12/5*(-165)/(-66). Put 0, -3, f in increasing order.
-3, 0, f
Let f = -43 + 44. Sort -1, -9, f.
-9, -1, f
Suppose 0 = 5*k + 10, -4*j = -5*j - 4*k - 6. Let z be 0 - (-1 + 4 + j). Let m be ((-2 - -2) + -10)/(-2). Sort m, z, 0.
z, 0, m
Suppose 0 = 23*u - 92 - 0. Sort 2/7, -1, u, 11 in increasing order.
-1, 2/7, u, 11
Let j = 819 - 819. Let y be 1*(0 + 1 + 2). Sort 25, j, -3, y in increasing order.
-3, j, y, 25
Let y = -222.4 + 220.443. Let v = 0.043 - y. Put v, -3, -1 in decreasing order.
v, -1, -3
Let d be -4*3/(-24)*6. Suppose -2*i = v + 4*v + 30, d*v - 2*i = -18. Sort -3, v, -1 in descending order.
-1, -3, v
Let p = -1.6 - -2. Let u = 169 - 173. Let b = -7.9 + -2.1. Sort u, b, p.
b, u, p
Let t be 9/15 + ((-165)/(-50))/(-1). Let s = t + 26/5. Put s, -2/11, -29, -3/7 in descending order.
s, -2/11, -3/7, -29
Let o(c) = -3*c. Suppose -10*p = -9*p - 4. Let l be o(p). Let h be 5/15*l/(-2). Put h, -2, -4 in descending order.
h, -2, -4
Suppose 580 = 31*s + 2843. Put 0, s, 4 in descending order.
4, 0, s
Suppose 5*h + 6*x = 3*x + 92, 2*x + 72 = 5*h. Suppose -21 = 5*s - h. Let l(i) = -i**3 - 2*i**2 + 3*i - 3. Let p be l(-3). Put s, 0, p in increasing order.
p, s, 0
Let z be (240/(-192))/(10/(-8)). Put -7, 5, z in decreasing order.
5, z, -7
Let b(a) = 5*a. Let c be b(-1). Let q be (2/6)/((-16)/96). Put q, c, -4 in ascending order.
c, -4, q
Let b = -0.36 - 0.04. Put 2/9, b, -9 in decreasing order.
2/9, b, -9
Suppose 2*h + 2*g = -14 - 2, -5*h + 2*g = 12. Let r = 10 - 5. Suppose 0 = -s + r*s - 4. Sort s, 4, h in increasing order.
h, s, 4
Suppose -a = -5*t + 64, -3*t + 32 = -0*t + a. Suppose 2*l - 6 = 0, -4*l = -3*k - 2*l - t. Let b = -40 + 42. Sort b, 0.3, k.
k, 0.3, b
Let f(w) = 7*w + 74. Let r be f(-10). Suppose -2*g = r*q - 10, -2*g = -q + g - 1. Sort -1, 1/9, q, -1/7.
-1, -1/7, 1/9, q
Suppose 0 = 5*g - t - 8, -4*t + 0*t - 12 = 0. Put g, -14, 3 in ascending order.
-14, g, 3
Suppose l = 1341 - 1336. Sort l, -53, -3 in descending order.
l, -3, -53
Let u = -22 - -17.5. Let j = -0.5 + u. Let x = 65 - 64.8. Sort j, x, 2 in increasing order.
j, x, 2
Let v(o) = o. Let d be v(-3). Let p = 1/623 - -1864/3115. Sort 1/3, -1/10, p, d in decreasing order.
p, 1/3, -1/10, d
Suppose -2*s - 2 - 4 = 0. Suppose 0 = 4*n - n - 6. Suppose -5 + 11 = n*u. Put s, -1, u in decreasing order.
u, -1, s
Let b be ((-324)/(-1))/6*(-14)/(-21). Sort -5, b, 4, -4 in decreasing order.
b, 4, -4, -5
Suppose -4*w = 3*w - 35. Suppose -w*l = 3*m - 1, 3*l = 3*m - 12 + 3. Sort 1, -4, m in increasing order.
-4, 1, m
Let s be (56/(-112))/((-2)/(-44)). Sort 5, s, -3.
s, -3, 5
Let l = -26 - -22. Let c be -1*2*(-1 - -2). Put l, c, 1 in decreasing order.
1, c, l
Let v = -5 - -5.1. Let x = 1.64 - 1.94. Put x, -3/5, v in decreasing order.
v, x, -3/5
Suppose 5*m + 7 - 2 = 0. Let t be 3*(8/(-6))/(-1). Let w = t + m. Put 5, -5, w in descending order.
5, w, -5
Let v(b) = -45*b + 496. Let z be v(11). Put 2, z, -163 in ascending order.
-163, z, 2
Let g = -91 - -32. Let d = 56 + g. Sort d, -1/3, 0.4 in ascending order.
d, -1/3, 0.4
Let w(a) = -a**3 + 3*a**2 + a - 1. Let l be w(3). Sort -1, -4, l, 3.
-4, -1, l, 3
Let j be ((-5)/(-10))/((-8)/(-112)). Put 4, 1, j in decreasing order.
j, 4, 1
Let h = 20 - 20. Let u = 6 + -1. Sort h, -1, 0.3, u in decreasing order.
u, 0.3, h, -1
Suppose -3*s + 4*a - 126 = a, 0 = -s + 4*a - 45. Let z = -41 - s. Sort 3, z, -0.01 in descending order.
3, z, -0.01
Let z = 0.9 + 0. Let b = z - 1. Let y = 2 + 3. Sort -3, y, b.
-3, b, y
Let s be -8 + ((-5)/(-6) - -7). Let m = 0.73 - -0.07. Let i = -6.8 + m. Sort s, i, 3 in descending order.
3, s, i
Let n be 0*2/8 - -4. Let i be (5 - 2) + (3 - (n - -1)). Let k(c) = c + 2. Let z be k(-7). Put i, 4, z in descending order.
4, i, z
Let l = -47.7 + 42.7. Sort 3/2, l, 84, 1 in descending order.
84, 3/2, 1, l
Let n = 20.3 + -19.8. Put 2, -0.3, 1.9, n in decreasing order.
2, 1.9, n, -0.3
Let h = 1588 + -1719. Sort 0, -1, h in descending order.
0, -1, h
Let x = 23 - 27. Let u = 1 + 14. Let i = 14.5 - u. Sort x, -5, i in decreasing order.
i, x, -5
Suppose 70*p = 74*p - 4. Suppose 4*j + 4*r + 2 = -18, 2*r = -4*j - 16. Let y = -3 - j. Sort -5, p, y in descending order.
p, y, -5
Let a = -4.161 - -1.161. Sort a, 4/9, 6.
a, 4/9, 6
Let p = 6 - 10. Let d be (-10)/(-3)*(-63)/(-14) - 2. Suppose -3*k + 10 = 4*m, 0 = -5*k - 5*m + 2*m + d. Put -3, p, k in increasing order.
p, -3, k
Suppose -2*d = -3*y - 17 + 3, -y = -d + 7. Suppose -5*q + 13 + d = 0. Put -3, 1, q, 5 in descending order.
5, q, 1, -3
Suppose -r + 10 = 13. Sort 5, r, 169 in decreasing order.
169, 5, r
Suppose -2*b = 5*q - 14, -3*q + 1 = 5*b + 4. Suppose 5*o + 3*v = 32, 2*v - 28 = -q*o - v. Suppose 30*y - 25*y - 15 = 0. Put o, y, -4 in ascending order.
-4, y, o
Let u(y) = y - 1. Let m be u(0). Let v be (-3)/(-6) + 9/2. Suppose -6 = -b - 2*a, -9 = -v*b - 4*a + a. Sort m, -4, b.
-4, m, b
Let l(f) = -f**3 + 6*f**2 + 6*f + 7. Let y be l(7). Suppose y = 2*s + 6, m + 2*s - s + 3 = 0. Sort 1, m, 4, 2 in decreasing order.
4, 2, 1, m
Let p = 1 + -0.9. Let l = 4.9 + p. Let d = 0.37 + 0.13. Sort l, d, -0.02 in decreasing order.
l, d, -0.02
Let h be 3*(7/3 + 1). Let u be (486/(-126) - 1/7) + 0. Sort h, -5, u.
-5, u, h
Let t = 14.47 - 18.47. Sort -5/14, t, -1, -6 in ascending order.
-6, t, -1, -5/14
Suppose -12*y = -18*y - 282. Put y, -2, -3/5 in ascending order.
y, -2, -3/5
Let b = -5.08 + 5. Let d be 60/(-8) + (-3)/(-6). Let x be ((-9)/18)/(d/(-6)). Put x, -5, b in decreasing order.
b, x, -5
Suppose 0 = -35*r + 93 + 292. Put 0, r, 5, 3 in descending order.
r, 5, 3, 0
Let h be (-24)/(-18)*(-1)/(-2). Let g = -33 - -22. Let u = g + 6. Put u, -0.2, h in descending order.
h, -0.2, u
Let w = 0.4 - -0.1. Suppose 28 = -3*x + 4*n, -32 = 7*x + 10*n - 11*n. Sort 0.2, w, x in increasing order.
x, 0.2, w
Let x be (19 - 17)*(66 + -4). Sort 3, 2, 0, x in descending order.
x, 3, 2, 0
Let r = -103 + 108. Suppose 3*o + 28 = r*l + 2*o, -22 = -5*l + 4*o. Put 0, l, 1, -0.1 in decreasing order.
l, 1, 0, -0.1
Let u(l) = -l**3 - 16*l**2 - 17*l - 1. Let t be u(-15). Suppose -4*j + 5*y + t = 0, -2*j = -5*y - 7 - 20. Put j, 1/5, 5 in descending order.
5, j, 1/5
Let b = -327 - -334.85. Let c = -10 + b. Let k = c - -0.15. Put 3, -0.3, k in decreasing order.
3, -0.3, k
Suppose 0 = 4*o - 2*g - 10 + 2, 0 = -o - g + 8. Suppose 3*f + 26 = f - 4*v, -o*v = 16. Sort f, 4, -3 in increasing order.
f, -3, 4
Let n be -2*(-5)/(-2) - (-816)/164. Sort n, -0.5, -1/7.
-0.5, -1/7, n
Let i = -3.788 - 0.212. Put i, -5, -2/3 in decreasing order.
-2/3, i, -5
Let c = -0.3614 - -0.0614. | {
"pile_set_name": "DM Mathematics"
} |
the difference between -0.2 and -116943.01658?
116942.81658
Calculate 38.395 - 168.2644.
-129.8694
Calculate 852251169578 - 4.
852251169574
Work out 5975269992 + 1.
5975269993
-1.36631566166+1.5
0.13368433834
Add together 1456 and -521520439.
-521518983
What is 20113263897 plus 2927?
20113266824
Calculate -14.905506 + -1.5516.
-16.457106
Add together -41.135 and -0.40922508.
-41.54422508
Subtract -435991889 from -50.077.
435991838.923
Total of 240093089 and -199767.2.
239893321.8
What is the distance between -2357.17376912 and -0.1?
2357.07376912
What is 15730262565989 minus -0.3?
15730262565989.3
What is -259515113 less than -1220?
259513893
Calculate -8803 + -4181801323.
-4181810126
What is the distance between -42364913 and -100.138?
42364812.862
What is the difference between -8420.19 and -77147.7?
68727.51
19912027 + 598407
20510434
103+-1417269.938053
-1417166.938053
Calculate -103.8556 - 200.2148.
-304.0704
Work out 76.59 - 20.1449402.
56.4450598
Add together 31879199181 and 48.
31879199229
What is -26 + 127.28702686?
101.28702686
Work out -345 - -42812514999.
42812514654
Calculate 4 - -86114821026.
86114821030
Work out -0.459535066781 + 0.3.
-0.159535066781
What is 2300 minus 4411479821?
-4411477521
0.1357+-62.7163938
-62.5806938
Calculate -844549938.4953 - 0.4.
-844549938.8953
What is -182814 - -41765553?
41582739
Subtract 326250157 from 161.4.
-326249995.6
Calculate 0.214 - -16570314172.
16570314172.214
What is the difference between -0.42302 and 3618692?
3618692.42302
Calculate -0.877 - -154.690477.
153.813477
Put together 0.014 and 559880836.
559880836.014
Add 808092210927 and -0.28.
808092210926.72
What is 570833823.5283 take away 50?
570833773.5283
Calculate 0.004 - -68.95190537.
68.95590537
Add 8104531410411 and 5.
8104531410416
What is 8005 plus 0.349010563?
8005.349010563
Work out -52.37956423 - -38.53.
-13.84956423
What is -76.5184474855 take away 0.0194?
-76.5378474855
-1277.59378 - 2481
-3758.59378
Work out -0.39 + -7.303386639.
-7.693386639
Work out 526 - 102553.808833.
-102027.808833
What is 342240224490 take away -74?
342240224564
What is -25.66 take away 30362579.24?
-30362604.9
Work out 226904.656 + 2848500.
3075404.656
Sum 0.6 and 890451.7503371.
890452.3503371
What is -6 plus 117150467423?
117150467417
Put together -400522306 and -2.76278.
-400522308.76278
Work out -9683415105 + -7300.
-9683422405
What is the difference between -14647207 and 0.00300701?
14647207.00300701
What is -4 - -69420515683?
69420515679
Sum 9024.552 and -47.68.
8976.872
Work out -0.0428 - -42107.082.
42107.0392
Subtract -5 from 3551432.19029667.
3551437.19029667
Total of -77271 and -48644.
-125915
Calculate -0.8 - 48.0672620395.
-48.8672620395
-92060476+694.0475
-92059781.9525
Total of 52.975 and 0.0565139.
53.0315139
Put together 0.882 and 90.8947905.
91.7767905
Sum 0.1 and 44424.3477517.
44424.4477517
What is 163495496.3 take away 0.1776?
163495496.1224
Subtract 279354.0549 from 42.7.
-279311.3549
What is 4.19620743678 minus 1.539?
2.65720743678
What is -4.5103422 + -867.6?
-872.1103422
Work out 30717750.239 - 1.
30717749.239
2571.356074+-119.3
2452.056074
What is 32 - 0.26829836493044?
31.73170163506956
What is -0.07247713 take away 21035?
-21035.07247713
-1087.2+1444877087
1444875999.8
Subtract 24065180.9204 from 408.
-24064772.9204
What is -4 less than 8076931.5833?
8076935.5833
What is 190.9505177 minus 115765?
-115574.0494823
203+1596.79796116
1799.79796116
Total of -214957.44 and 3100.
-211857.44
-164.64+4.813787
-159.826213
Calculate -22471989164.2 - 5.
-22471989169.2
Calculate -4054818416134 - 0.03.
-4054818416134.03
Work out -7934795.205 - 6.
-7934801.205
Add 83441108583 and 83.
83441108666
Put together -385231 and -33192803.
-33578034
Subtract 19 from -33258.64596164.
-33277.64596164
What is 87838.3 less than -983377?
-1071215.3
Add 25.353285 and 41642.
41667.353285
Subtract -4814951015 from 1.12.
4814951016.12
Calculate 4.9819357751 - -0.61.
5.5919357751
Calculate -16666970920550 - 1.
-16666970920551
-167.898164676 - 5
-172.898164676
Put together -8156231 and 977.256.
-8155253.744
Total of -0.02 and 583923.0259284.
583923.0059284
Total of -8.694 and 0.0320337105.
-8.6619662895
-4291236727 - 0.004
-4291236727.004
What is the distance between -203828017604 and 5?
203828017609
-1261+-593767.089
-595028.089
What is -30070106613 minus 1.65?
-30070106614.65
What is -23765378 - 17505226?
-41270604
Work out 1381344.4 - 1827961.
-446616.6
What is -1156014 take away 0.00696?
-1156014.00696
What is -377 minus -854955143.65?
854954766.65
Calculate 589 - 256087708375.
-256087707786
Subtract 143296 from -2737384.
-2880680
-1.3498824786+2232
2230.6501175214
What is 1237169 minus 23467439?
-22230270
What is -0.03 + -21636023083?
-21636023083.03
What is 729428 - -71.836?
729499.836
Calculate -0.30285 + -491136573.
-491136573.30285
Work out 48 - -1297258883.
1297258931
What is the distance between -0.03565037646723 and 0?
0.03565037646723
Add together -22 and -465.5023159.
-487.5023159
Add 5709.97 and -2664146.
-2658436.03
593.7601786 - -2918
3511.7601786
Put together 3.829 and 146292.2.
146296.029
-401 + -2602988795
-2602989196
Total of -2749.905929 and -0.00924.
-2749.915169
1521498582130+0.05
1521498582130.05
Work out 17691 - -2332025787.
2332043478
-58793150+-0.0931
-58793150.0931
What is -44200132803 take away 347?
-44200133150
Calculate -0.2345 - -651.41847.
651.18397
What is -2257 - 6676594.655?
-6678851.655
What is -37283051898 minus 133.2?
-37283052031.2
What is 1440.86 minus 13157.81?
-11716.95
Work out 98 + 1.585034538333.
99.585034538333
Subtract 22083724 from 51658.
-22032066
-47392.8189+-5607
-52999.8189
Subtract 17514832 from -10515.
-17525347
Calculate -3.6729 + 2673516817.
2673516813.3271
What is 149 plus -28131816.37641?
-28131667.37641
Add 0 and -354019618396.
-354019618396
Work out 44889236174023 + 1.
44889236174024
Work out 5072.360141 + 0.9.
5073.260141
Work out -225 + 1575991280.4.
1575991055.4
What is 18.2322 plus 1.325?
19.5572
-0.05 + 1811951438381.6
1811951438381.55
Subtract -151217468582 from 5.24.
151217468587.24
What is -101 - 77584542?
-77584643
What is -118519447331 + -2.5?
-118519447333.5
What is 222097.67601 plus -0.02127?
222097.65474
21.37269+-36506283
-36506261.62731
Calculate -13558 - -125073603.
125060045
-137 - 3101515775
-3101515912
60536538811132 + -4
60536538811128
Calculate 85339.43 - 116932.
-31592.57
What is -644592076134 + 3?
-644592076131
What is 1237886862 less than -5.427?
-1237886867.427
What is 0.29918998 + -42975014?
-42975013.70081002
What is 9322122492 take away 28?
9322122464
What is 85.18 less than -673131?
-673216.18
Put together 1.10966701 and 5694.
5695.10966701
What is the difference between -7.044 and 11302424?
11302431.044
What is 1384.53 less than -5122946?
-5124330.53
What is the distance between 183 and -39.518683465?
222.518683465
Sum -380732891782 and -0.13.
-380732891782.13
What is 726 less than -22104.646946?
-22830.646946
-9697+15371478952
15371469255
Work out 606966 + -778.102.
606187.898
Total of -8 and -3243.420569049.
-3251.420569049
Total of 785809.1971 and -1.8.
785807.3971
Subtract 119 from 8888600050441.
8888600050322
-9563606 - -5.76986
-9563600.23014
What is 309984 plus 291.64227?
310275.64227
Work out -30 - 18095237975154.
-18095237975184
Work out 0 + 9300552525.341.
9300552525.341
What is 1343788 plus -335.0038?
1343452.9962
Add together -1.23 and 0.068413309.
-1.161586691
Calculate -2152.72790957 + 3.
-2149.72790957
Calculate -132.443 - 10.2918.
-142.7348
Put together 0 and 1352724253242.
1352724253242
Put together 296385540509 and -3.
296385540506
-81398 - -0.2501992945
-81397.7498007055
Total of 15 and -5575118700745.
-5575118700730
3.659 + -38.87239214
-35.21339214
Put together 3.69484504 and 335.49.
339.18484504
Calculate -484950.31898 - -0.26.
-484950.05898
What is 93291135 - 588?
93290547
What is -7408.38192 less than 3626?
11034.38192
Add 5 and -6042.9700844.
-6037.9700844
Calculate 43296224759 - -0.03.
43296224759.03
Calculate -1075 + 1758.997697.
683.997697
Add -17891.13 and 12179.4.
-5711.73
Add together -12 and -6276294332.
-6276294344
Total of -29 and -652376.6727.
-652405.6727
Work out -1 - 76341848632684.
-76341848632685
Add 74744103572908 and 0.1. | {
"pile_set_name": "DM Mathematics"
} |
s the least common multiple of 106320 and 3572352?
17861760
Calculate the common denominator of -101/263266 and 87/1053064.
1053064
What is the common denominator of -1/17316 and -107/8736?
969696
Find the common denominator of 117/20 and -47/40765480.
40765480
Calculate the common denominator of 181/3718080 and -113/24353424.
487068480
Find the common denominator of 6/673505 and -101/538804.
2694020
Calculate the least common multiple of 196334 and 3028.
297249676
What is the common denominator of -68/473799 and -56/327?
51644091
What is the smallest common multiple of 9283839 and 43324582?
129973746
What is the least common multiple of 26691195 and 8523?
80073585
Calculate the smallest common multiple of 3498424 and 8028.
31485816
Calculate the common denominator of 55/2646 and 67/1816220.
343265580
What is the common denominator of 51/139600 and -113/4810?
67147600
Find the common denominator of -5/188 and -53/21485345.
85941380
Find the common denominator of -93/280 and -89/691500.
9681000
What is the smallest common multiple of 2138393 and 114475?
53459825
Find the common denominator of 59/50 and 61/3514080.
17570400
What is the lowest common multiple of 1084680 and 42444?
9762120
Find the common denominator of -29/6886 and -5/49.
337414
Calculate the smallest common multiple of 988 and 1883128.
1883128
What is the lowest common multiple of 47868 and 79716176?
239148528
Calculate the least common multiple of 4990830 and 50573744.
758606160
Calculate the common denominator of -93/1444 and -46/12878675.
51514700
Calculate the common denominator of -125/148308 and -133/666.
16462188
Calculate the common denominator of 127/6397116 and -149/3489336.
38382696
What is the common denominator of 43/4245690 and -82/33?
46702590
Calculate the smallest common multiple of 1089836 and 297228.
3269508
Find the common denominator of -23/10472 and -21/646.
198968
Calculate the smallest common multiple of 665 and 20853735.
20853735
Calculate the common denominator of -57/1760 and 19/1546699.
247471840
Calculate the smallest common multiple of 956726 and 14.
6697082
What is the common denominator of 47/112562 and 83/1032?
58081992
What is the common denominator of -113/46046 and -67/32318?
5203198
What is the common denominator of 77/272253 and -37/5964?
541238964
Find the common denominator of 71/16094 and -1/3982.
32043154
What is the common denominator of -38/770331 and 77/8216864?
24650592
What is the least common multiple of 1007687 and 750693?
111853257
What is the lowest common multiple of 288436 and 4903412?
4903412
What is the smallest common multiple of 1331321 and 8733?
163752483
Calculate the lowest common multiple of 130531200 and 216.
1174780800
Calculate the smallest common multiple of 4551876 and 243.
4551876
What is the lowest common multiple of 594 and 2996202?
26965818
Find the common denominator of -8/181065 and 71/6518340.
6518340
Find the common denominator of -47/1246708 and -103/20.
6233540
What is the lowest common multiple of 6834270 and 36942?
6834270
Find the common denominator of -43/21931530 and -34/9.
65794590
What is the least common multiple of 375010752 and 208?
4875139776
Calculate the smallest common multiple of 2160990 and 7923630.
23770890
Calculate the lowest common multiple of 4361006 and 35894434.
466627642
What is the least common multiple of 47796 and 152492?
3202332
What is the least common multiple of 36 and 5215146?
31290876
Find the common denominator of -155/1372098 and 97/1161006.
15093078
What is the lowest common multiple of 8732553 and 3?
8732553
Calculate the common denominator of -109/70060 and 53/8610374.
86103740
Find the common denominator of -163/14073696 and -109/61572420.
492579360
Calculate the lowest common multiple of 299736 and 1529631.
281452104
What is the smallest common multiple of 2080032 and 243408?
22880352
What is the common denominator of -58/11811 and 6/6641719?
19925157
Calculate the smallest common multiple of 702 and 5952193.
321418422
Calculate the common denominator of 101/41420 and 83/394.
8159740
What is the common denominator of 59/124160152 and 121/189654?
372480456
Find the common denominator of 41/279 and -29/36735.
110205
Find the common denominator of -53/5390550 and 139/90.
5390550
What is the common denominator of -41/189543024 and -113/330?
947715120
What is the common denominator of 12/16415 and 99/140?
65660
Calculate the common denominator of -45/6106108 and 50/10685689.
42742756
Calculate the least common multiple of 9072 and 28833408.
201833856
Calculate the common denominator of 91/40714200 and 50/63.
284999400
Calculate the lowest common multiple of 91908 and 86940.
3216780
Find the common denominator of -65/14688 and -47/12607472.
680803488
Calculate the common denominator of 13/82509 and -157/477498.
1876089642
Calculate the least common multiple of 318756 and 84840.
22312920
Find the common denominator of 63/577300 and 14/2997.
1730168100
What is the least common multiple of 1308 and 45113?
59007804
Calculate the least common multiple of 2835140 and 73640.
5670280
What is the common denominator of -47/36 and 41/2102724?
2102724
Calculate the common denominator of 131/44754 and -25/62968878.
62968878
What is the least common multiple of 265222828 and 239484?
5569679388
What is the common denominator of 35/927 and -83/13365?
1376595
Find the common denominator of 99/17521538 and 55/49683.
52564614
What is the least common multiple of 872 and 7204464?
7204464
Calculate the least common multiple of 316575 and 859275.
6014925
What is the common denominator of -29/15512784 and -25/1292732?
15512784
What is the common denominator of -57/33565 and 32/35?
33565
Find the common denominator of -111/338702 and -55/3290248.
23031736
What is the smallest common multiple of 416555 and 749799?
3748995
Find the common denominator of -29/92 and -95/3228.
74244
What is the least common multiple of 4846460 and 3905?
53311060
Find the common denominator of -57/102154 and 11/85094282.
85094282
Calculate the common denominator of 37/352347 and -71/12339.
3171123
What is the common denominator of 83/45756 and 93/1154?
26401212
What is the common denominator of -127/1703424 and 139/12775680?
25551360
What is the common denominator of 9/884 and 25/3208894?
109102396
What is the smallest common multiple of 355536 and 3318?
196611408
Calculate the common denominator of -121/90 and -37/624680.
5622120
Calculate the smallest common multiple of 24 and 90616504.
271849512
Find the common denominator of 7/435 and -107/514440.
14918760
Calculate the common denominator of -85/35778904 and 13/6489.
322010136
Find the common denominator of -67/38480 and 145/239538.
9581520
What is the lowest common multiple of 6481470 and 312360?
25925880
Calculate the lowest common multiple of 1068 and 494772.
44034708
What is the least common multiple of 1552844 and 3493899?
13975596
Find the common denominator of 137/412620 and 197/6630.
7014540
What is the least common multiple of 40 and 1529800?
1529800
Calculate the lowest common multiple of 72 and 687660.
4125960
Calculate the common denominator of -55/33956 and -151/10980.
93209220
Calculate the least common multiple of 176849912 and 132637434.
530549736
Calculate the smallest common multiple of 524 and 1108182.
290343684
What is the smallest common multiple of 6084464 and 1141?
42591248
What is the lowest common multiple of 160490498 and 10?
802452490
Calculate the common denominator of -49/6631589 and 37/344.
53052712
What is the common denominator of -13/166642578 and -89/2?
166642578
What is the lowest common multiple of 63810 and 1470?
3126690
What is the common denominator of 23/13075662 and -119/104605296?
104605296
What is the lowest common multiple of 260183 and 1846?
480297818
Find the common denominator of 113/100332 and -143/200664.
200664
Calculate the common denominator of 103/20 and -23/11925512.
59627560
What is the smallest common multiple of 150840 and 130501740?
783010440
What is the lowest common multiple of 809723 and 8?
6477784
Find the common denominator of -109/214560 and 31/29645040.
177870240
What is the common denominator of -109/18156 and -30/4063?
4339284
Calculate the common denominator of 109/270 and -115/16044.
721980 | {
"pile_set_name": "DM Mathematics"
} |
*2 + k + 1. Let y(h) = 5*h**2 - 2*h - 4. Calculate -11*u(o) - 4*y(o).
2*o**2 - 3*o + 5
Let j(w) = -8*w**3 - 7*w**2 - 5*w - 2. Let m(f) = -f**2 - f - 1. Calculate j(g) - 5*m(g).
-8*g**3 - 2*g**2 + 3
Let p(q) = q. Let a be 2/8 + (-5)/4. Let y(n) = -5*n - 11*n + 2*n. Calculate a*y(i) - 12*p(i).
2*i
Let q(i) = -114*i. Let n(x) = 228*x. Calculate -4*n(g) - 7*q(g).
-114*g
Let a(m) be the first derivative of 2*m**3 + 10*m**2 + 26*m + 19. Let x(s) = -s**2 - 4*s - 5. Determine -3*a(o) - 16*x(o).
-2*o**2 + 4*o + 2
Let q(d) be the second derivative of 3*d**4/4 + d**3/6 - 5*d**2/2 + 35*d. Let u(v) = 5*v**2 - 3. Give 3*q(k) - 5*u(k).
2*k**2 + 3*k
Let p = 67 - 61. Let h(m) = m + 7. Let o(y) = y + 8. Determine p*o(r) - 7*h(r).
-r - 1
Let b(s) = -5*s**2 + 6*s. Suppose 2 = 5*u - 4*t, 3*u - 2 = t + 2. Let r(q) = 10*q**2 + q**u - 10*q - 3*q. Determine 13*b(y) + 6*r(y).
y**2
Let m(j) = j**3 + j**2 - j. Let f(v) = 4*v**2 - 4*v. What is -2*f(r) + 8*m(r)?
8*r**3
Let p be (1 + -3)/2*-3. Let w(u) = -u**2 - u**3 + 6*u**p - 1 - 3*u**2 - u. Let z(b) = 4*b**3 - 3*b**2 - b - 1. Determine -3*w(d) + 4*z(d).
d**3 - d - 1
Let h = -13 + 23. Suppose f + h = 5*w, w - 21 = -3*f + 7*f. Let m(p) = p**3 - 2*p. Let j(u) = -u + 1. Calculate w*j(x) - m(x).
-x**3 + x + 1
Suppose -4*a + 5 = 5*j, 5*a = 4*j + j - 50. Let p(z) = -4*z + 0*z + j*z + 1. Suppose 0*g + 5*g - 35 = 0. Let h(c) = 3*c + 4. Give g*p(t) - 2*h(t).
t - 1
Let a(n) = -4*n**2 + 5*n**3 - 2*n - 2 + 0 + 0*n**2 + 6*n**2. Let i(g) = 5*g**3 + 3*g**2 - 3*g - 3. Determine 3*a(y) - 2*i(y).
5*y**3
Let q(a) = -2*a + 7. Let r be q(7). Let n(z) = 2*z**3 + z + 7. Let m(d) = -3*d**3 + 11 + 6 - d - 27. Give r*n(u) - 5*m(u).
u**3 - 2*u + 1
Let b(g) = -4*g. Let i(d) be the first derivative of -5*d**2/2 + 28. Calculate 4*b(r) - 3*i(r).
-r
Let d(v) = -v**2. Let u be 2/5 + 12/(-5). Let f(b) = -b**2. Calculate u*f(o) - d(o).
3*o**2
Let b(k) = -5 + 1 + 4 + 3 + k**3. Let i(r) be the third derivative of r**6/120 + 2*r**3/3 + r**2. Give -4*b(p) + 3*i(p).
-p**3
Let f(l) = l**2 + 2*l - 1. Let v(g) = g**3 - g**2 - g + 1. Let t(k) = k**3 - 4*k**2 + k - 2. Let m be t(4). Calculate m*v(x) + f(x).
2*x**3 - x**2 + 1
Let y(r) = 8*r**2 + 5*r - 2. Let c(n) = -4*n**2 - 2*n + 1. Determine 10*c(p) + 4*y(p).
-8*p**2 + 2
Let n(t) = -4*t**2 - 5*t + 5. Let u(c) = -20*c**2 - 24*c + 24. Suppose -3*i + a = 67, 0 = -7*i + 3*i - 2*a - 106. What is i*n(o) + 5*u(o)?
-4*o**2
Let n(p) = -2*p + 5. Let u(x) = -x + 4. Give -2*n(m) + 3*u(m).
m + 2
Let f(t) = 0*t + t + 3*t + 7. Let p(r) = -4*r + r - 5*r + 5*r - 5. Let k = 10 + -15. Determine k*f(z) - 7*p(z).
z
Let w(y) = -3*y + y**2 + 2*y + 2*y. Let c be (-22 - -4)/(6/(-4)). Let s(g) = -3*g**2 - 4*g. Give c*w(f) + 3*s(f).
3*f**2
Let y(j) = -j**3 - j**2 - j - 1. Let a(f) = -5*f**3 - 6*f**2 - 9*f - 6. Calculate -a(h) + 6*y(h).
-h**3 + 3*h
Let p(t) = 5*t**2 - 4. Let u(v) = -v**2 - v - 1. Calculate -p(k) - u(k).
-4*k**2 + k + 5
Suppose 0 = 2*c - 3*c - 5*j + 4, -5*c + 2*j = 7. Let x(n) = -1. Let z(l) = 5*l - 1. Let q(b) = 6*b. Let f(v) = 3*q(v) - 4*z(v). Give c*f(o) - 6*x(o).
2*o + 2
Let l(c) = -9*c**3 + 5*c**2 + 5. Let u(v) = -14*v**3 + 7*v**2 + 7. Give 7*l(w) - 5*u(w).
7*w**3
Let q(o) be the first derivative of -5*o**3/3 + 2*o**2 + 7*o - 1. Let a(p) = 16*p**2 - 5*p - 30*p**2 + 16*p + 20. Determine -6*a(h) + 17*q(h).
-h**2 + 2*h - 1
Let u(z) = -14*z**2 + 6. Let j(f) = -14*f**2 + 5. Give -6*j(d) + 5*u(d).
14*d**2
Let f(z) = 5*z + 11. Let l = -14 + 24. Let i be ((-5)/l)/((-1)/18). Let s(m) = -4*m - 2*m - 5 + 2*m + 2*m. Determine i*s(d) + 4*f(d).
2*d - 1
Let y(s) = 4*s + 4. Let r(j) = 9*j + 9. Let g(w) = -3*r(w) + 7*y(w). Let z(b) = -2*b - 2. Give -4*g(p) - 3*z(p).
2*p + 2
Let c(f) = 3*f**3 + 5*f**2 + 7*f - 5. Let j(n) = n**2 - n. Let p(d) = 2*d**3 + 7*d**2 - 3. Let h(k) = 4*j(k) - p(k). What is 3*c(m) + 5*h(m)?
-m**3 + m
Let c(i) = -12*i**2 - i - 1. Let w(v) = v**2 + v + 1. What is c(q) + w(q)?
-11*q**2
Let q(z) = -4*z - 9. Let p(n) be the third derivative of n**4/12 + 2*n**3/3 - 19*n**2. Suppose 0 = 2*r, 0 = 4*g - r + 4 + 4. Calculate g*q(f) - 5*p(f).
-2*f - 2
Let h(x) = x - 2. Let n(l) = 3*l - 5. Give 7*h(f) - 3*n(f).
-2*f + 1
Let d(b) = 9*b**3 + 5*b**2 + 7*b - 5. Let u(f) be the second derivative of 1/4*f**4 + 1/4*f**5 - 3/2*f**2 + 2/3*f**3 - 4*f + 0. Calculate 3*d(a) - 5*u(a).
2*a**3 + a
Let o(u) = -20*u**3 - 15*u. Let t(j) be the third derivative of j**6/120 + j**4/24 + 11*j**2. What is o(c) + 15*t(c)?
-5*c**3
Let y(d) = d. Let t(b) = 4*b - 1. Let z be (-1)/(-4) - (-23)/4. Suppose z = -4*j - 18. Determine j*y(m) + 2*t(m).
2*m - 2
Let j(z) = -z + 1. Let t = -17 - -16. Let i(k) = -k + 1. Let f(a) = -1. Let d(p) = -f(p) + i(p). What is t*d(b) + 3*j(b)?
-2*b + 1
Let s be (-4)/14 - (-60)/14. Let u(m) = 2*m - 2. Let g(h) be the first derivative of h**2/2 - 2*h - 3. Determine s*g(i) - 3*u(i).
-2*i - 2
Let n = 120 + -119. Let d(w) = -3*w + 1. Let b(r) = 1. What is n*b(y) - d(y)?
3*y
Let z(b) = 3*b**2 + 3*b. Let f(y) = -y**3 - y**2 - y. Let w = -125 + 124. What is w*z(j) - 3*f(j)?
3*j**3
Let m(b) = -3*b**2 + 9*b + 7. Let h(u) = 0*u**2 - u**2 + u + 3*u + 3. Calculate -7*h(z) + 3*m(z).
-2*z**2 - z
Let s(n) = -4*n**2 - 6*n. Let l(x) = -7*x**2 - 11*x. Let y be (2 + (-40)/15)*9. Calculate y*l(j) + 11*s(j).
-2*j**2
Let x be (-5)/(-4) + 3/(-12). Let i(o) be the third derivative of -o**4/24 - 49*o**2. Let d(r) = r. Give x*i(c) + 3*d(c).
2*c
Let u(x) = -8*x**2 + 2. Let s(z) = 15*z**2 - 4. Give -6*s(m) - 10*u(m).
-10*m**2 + 4
Let t(b) = b**3 + 4*b - 4. Let s(h) = -h**3 + h**2 - 3*h + 3. What is -4*s(c) - 3*t(c)?
c**3 - 4*c**2
Let x = -10 + 2. Let u be x/(-2) - (3 - 3). Let c = -9 + 2. Let o(d) = 4*d + 7. Let g(w) = 2*w + 4. Calculate c*g(n) + u*o(n).
2*n
Let o(y) = 7*y**3 + 4*y**2 - 8*y - 6. Let r(z) = 15*z**3 + 9*z**2 - 16*z - 13. Determine 13*o(j) - 6*r(j).
j**3 - 2*j**2 - 8*j
Let c(k) = -4*k**2 - 1. Let f(b) = -1. Determine -2*c(s) + 2*f(s).
8*s**2
Let r(q) = 3*q**3 + 4*q**2 - 2*q. Let v(d) = -16*d**3 - 21*d**2 + 11*d. Let a(n) = -11*r(n) - 2*v(n). Let x(y) = -2*y**2 + 1. Calculate 3*a(w) - 2*x(w).
-3*w**3 - 2*w**2 - 2
Let u(r) = -r**3 - 2*r**2 - 3. Suppose 13 - 10 = 3*q. Let h(n) = -n**3 - n**2 - 1. Give q*u(f) - 2*h(f).
f**3 - 1
Let h(u) = -9*u - 6. Let z(l) be the third derivative of -5*l**4/12 - 7*l**3/6 + 11*l**2. Let n be 1/1*(-1 + 8). Calculate n*h(m) - 6*z(m).
-3*m
Suppose -3*t + 2 = -5*y + t, t + 1 = 2*y. Suppose -y*s + 15 = 5. Let z(o) = -3*o - 6. Let c(r) = 2*r + 5. Calculate s*c(l) + 4*z(l).
-2*l + 1
Let m(n) = -2*n - 1. Let i be m(8). Let v(z) = 3*z**2 + 20*z - 14. Let s(l) = l**2 + 7*l - 5. Calculate i*s(k) + 6*v(k).
k**2 + k + 1
Let q(y) = -6*y**2 + 11*y + 15. Let z(l) = 11*l**3 + l**2 - 1. Let g be z(1). Let a(u) = 0*u - g*u**2 - 6*u + 14*u**2 - 8. Give 11*a(t) + 6*q(t).
-3*t**2 + 2
Let s(d) = 5*d**2 - d - 1. Let g(y) = 5*y**2 - y - 1. What is 3*g(m) - 4*s(m)?
-5*m**2 + m + 1
Let s(z) = 1. Let d(x) = 11*x + 3. What is -d(q) + 3*s(q)?
-11*q
Let r(j) = -j**3 - 1. Let q(i) = 7*i**3 + 6. Suppose -2*f = -f - 6. Calculate f*r(s) + q(s).
s**3
Let a(b) = -4*b**3 - 5*b**2 - 4. Let i(v) = -v**3 - v**2 - 1. Determine 2*a(r) - 10*i(r).
2*r**3 + 2
Let z(m) = -2*m**2 - 2*m. Let l(q) = 2*q + 4. Let v(j) = 5*j + 9. Let r(b) = 7*l(b) - 3*v(b). Give 2*r(p) - z(p).
2*p**2 + 2
Let c(q) = -12*q**2 + 1. Let b(y) = 12*y**2 - 2. What is -2*b(t) - 3*c(t)?
12*t**2 + 1
Suppose -3*k = -0*k - 3. Let d(x) = -x - 2. Let f(g) = -1. Let q(o) = k*f(o) - d(o). Let p(i) = -i. Determine -3*p(z) - 2*q(z).
z - 2
Let x(o) = 9*o**2 - 2*o - 2. Let a(k) = 9*k**2 - 2*k - 2. Give -6*a(u) + 5*x(u).
-9*u**2 + 2*u + 2
Let d(x) = -1. Let v(o) = o**3 - o**2 - 13. Give 22*d(g) - 2*v(g).
-2*g**3 + 2*g**2 + 4
Let h(x) = -3. Let i(u) = u + 4. Suppose 0 = z - 4*v - 2, -4*z + 4*v = 4. Give z*i(s) - 3*h(s).
-2*s + 1
Let t(a) = -a**2 - a + 1. Let x = -45 + 40. Let s(j) = -4*j**2 - 6*j + 8. Give x*t(i) + s(i).
i**2 - i + 3
Let c(w) = -2*w - 2. Let h(n) = -2*n**2 + n. Let t be h(-1). Let z(f) = 6*f + 6. Let r(x) = 7*x + 7. Let b(u) = -5*r(u) + 6*z(u). Determine t*b(a) - 2*c(a).
a + 1
Let k(y) = -5*y**3 + 3*y**2 + 6. Let u(s) = s**3 - s**2 - 1. Calculate -k(j) - 3*u(j).
2*j**3 - 3
Suppose 0 = -3*t + y - 62, 0*y + 5*y = -20. Let w(b) = -6*b**2 - 5. Let q(u) = u**2 + 1. Calculate t*q(v) - | {
"pile_set_name": "DM Mathematics"
} |
(m). Round q to the nearest one thousand.
-4000
Let t = 2948.00001503 + -2948. Round t to 5 decimal places.
0.00002
Let q = -1578 + 682. Let o = q - -896.0001247. What is o rounded to five dps?
0.00012
Let s = 0.88 + -0.3. Let f = s + 74.42. Let j = f + -74.9999943. What is j rounded to six decimal places?
0.000006
Let x(a) = a**2 - 22*a - 23. Let y be x(-17). Let q be (28900/2)/(-4*(-4)/y). Round q to the nearest one hundred thousand.
600000
Let v = -6.66 + 6.8654. Let h = v - 0.15. Round h to 2 dps.
0.06
Suppose 2764839 = 37*b + 470099. What is b rounded to the nearest 10000?
60000
Let h = -221498 + 221488.999925. Let v = 9 + h. What is v rounded to 5 dps?
-0.00008
Let l = 0.0418 - -220.9582. Let i = 220.99999995 - l. What is i rounded to 7 decimal places?
-0.0000001
Let i = 7567.3999878268 - 7567.4. What is i rounded to 6 dps?
-0.000012
Let m = -4978.487 - -4976. Round m to one dp.
-2.5
Let g = 6055 - 6070.11. Round g to 1 decimal place.
-15.1
Let o = 411 + -97. Let c = 2538.4 - 2894. Let i = c + o. What is i rounded to the nearest ten?
-40
Suppose -19*d + 24*d + 65 = 0. Let n = d - -18. Suppose n*f + f = 2940. What is f rounded to the nearest one hundred?
500
Suppose 4 = -4*l - 8, -g - 4*l = 18. Let s be 2/g - (-105929967)/(-99). What is s rounded to the nearest 100000?
-1100000
Let i be (-1 - 67)/(5 + -3). Let h = i - -43. Let n be ((-708)/(-8))/(h/12). Round n to the nearest 10.
120
Let f = -164.9 + -294.9. Let x = -566 - -153. Let r = f - x. What is r rounded to the nearest integer?
-47
Let g = 25851 - 25851.00026367. Round g to 5 decimal places.
-0.00026
Let y = -73926.0060082 + 73926. Round y to 3 dps.
-0.006
Let f = -169 + 293. Let q = -123.97519 + f. What is q rounded to three decimal places?
0.025
Let u = 104.5095 + -1.6045. Let o = u + -103. Let b = o + 0.209. Round b to 2 decimal places.
0.11
Let g(w) = -527*w + 67. Let i = -28 + 49. Let p be g(i). What is p rounded to the nearest one thousand?
-11000
Let i = -0.202 - -0.2605. Let n = 0.247 - i. Let w = n - 0.19. What is w rounded to three decimal places?
-0.002
Let m = 490 - -2710. Let f = m - 3200.00003609. Round f to 6 decimal places.
-0.000036
Let g be ((-2533680)/2)/((-2)/12). Let b be (-50)/15*(-7 + (-33)/(-6)). Suppose -g - 29898960 = -b*n. What is n rounded to the nearest 1000000?
8000000
Let u(q) = -19 + 11 - 2*q + 127 + 15*q. Let k be u(-33). Round k to the nearest 10.
-310
Let d = 288472 + -288471.9833373. What is d rounded to four dps?
0.0167
Let d = -80.4 + 8.6. Let u = d + -6.2. Let z = u - -77.877. Round z to two dps.
-0.12
Let i = -402.90481086 - 0.06828914. Let w = 403 + i. Round w to two dps.
0.03
Let b = -114.71 - -1.71. Let s = b - -114.23. Let y = -1.2991 + s. Round y to three decimal places.
-0.069
Let r = 148.1864 - -0.4136. What is r rounded to zero decimal places?
149
Suppose -63808 - 31136 = 3*b. Let z = b + 11548. What is z rounded to the nearest one thousand?
-20000
Let z = 8287242.24400852 + -8287242. Let i = z + -0.244. Round i to six dps.
0.000009
Let o = 6810.9999995549 - 6811. What is o rounded to seven dps?
-0.0000004
Let c(v) be the third derivative of -31*v**4/24 + 7*v**3/2 + 2*v**2 - 2*v. Let w be c(11). Round w to the nearest one hundred.
-300
Let b = 20247.1096 + -20256. What is b rounded to 1 decimal place?
-8.9
Let c(l) = 1260*l**2 + 6*l + 3. Let b(n) = -1262*n**2 - 7*n - 3. Let i(d) = -4*b(d) - 5*c(d). Let k be i(-1). What is k rounded to the nearest 100?
-1300
Let x = 12825115.1058 - 12826343. Let t = 1228 + x. Round t to three decimal places.
0.106
Let p = -3.6013 - -0.6043. Let i = p + 4.10276. Let f = -1.1 + i. Round f to four dps.
0.0058
Let j(q) be the third derivative of 47*q**5/15 + 7*q**4/6 - 13*q**3/3 - q**2 - 51. Let s be j(-19). What is s rounded to the nearest one thousand?
67000
Let u(r) be the third derivative of -39*r**4/4 - 37*r**3/3 + 2*r**2 + 4*r. Let f be u(-16). What is f rounded to the nearest 100?
3700
Let h = 409211 + -198726. Suppose -5*v + h = -684515. Round v to the nearest one hundred thousand.
200000
Let s = -89.91 + -1128.49. Round s to the nearest ten.
-1220
Let b = 212668 + -212661.12856. Let o = -6.9 + b. What is o rounded to 3 dps?
-0.029
Let q(r) = 3*r**2 + r - 20. Let b be q(-4). Let i = b - 7. Let v(g) = 1885*g - 45. Let z be v(i). Round z to the nearest 10000.
30000
Let z = 63274 - 64732.16. Round z to the nearest ten.
-1460
Let h = -80208.00000064333 - -80208. What is h rounded to seven decimal places?
-0.0000006
Let f = -5895910265.975563413054 - -5895910266. Let t = f + -350.024434716946. Let w = 350 + t. Round w to 6 decimal places.
0.000002
Suppose 11*c = 21655436 + 22316151. Suppose -c = 2*f + 13862583. Round f to the nearest 100000.
-8900000
Let n = -159533.5 - -128047. Round n to the nearest one thousand.
-31000
Let r = 0.103 + 31.897. Let k = 32.09 - r. Let l = k - 0.089999. What is l rounded to five decimal places?
0
Suppose 2*n + 5 = -3*p, 11*p = 9*p + 2. Let v(c) = 432*c**2 + 4*c + 4. Let q be v(n). Let z be (q/9)/(3 + (-2524)/840). What is z rounded to the nearest 10000?
-160000
Let w = -18160 + 18156.8233. Let u = -55.7473 + w. Let i = -59 - u. Round i to 2 decimal places.
-0.08
Let c = -296125 - -131484. Round c to the nearest one thousand.
-165000
Let i = -10360 + 10633.24. Let o = i + -297.1. Let q = -14.19 - o. Round q to zero dps.
10
Let v be 3 + (-1 - -2 - 0). Let m(u) = -3726*u - 134. Let n be m(-1). Let x be ((-3)/((-3)/n))/(v/50). Round x to the nearest 10000.
40000
Let o = -0.1273 + 0.058775. Round o to three dps.
-0.069
Let h = -1.9096 - 459347.0904. Let j = h - -459349.213123. Let g = -0.213 + j. Round g to five dps.
0.00012
Let c = -38495 - -38162.03. Let h = 331 + c. What is h rounded to 1 decimal place?
-2
Let r = -203.345 - -0.345. Let v = 202.928 + r. What is v rounded to 2 dps?
-0.07
Let c = -0.252 - 24.548. Let f = c + 24.799976. What is f rounded to 5 decimal places?
-0.00002
Suppose 98*h + 14841022 = 96*h. Let f = h - -4190511. Round f to the nearest 1000000.
-3000000
Let p = -2.39303035 + 2.393. Round p to six decimal places.
-0.00003
Let k = 1377.76 + 1105.87. Let f = 2471 - k. What is f rounded to 1 dp?
-12.6
Let h = -12249.3137 + 12248. What is h rounded to two dps?
-1.31
Let m(b) = 9597*b + 3212. Let d be m(-3). Round d to the nearest ten thousand.
-30000
Let x = -759.573 + -0.427. Let i = x - -759.9279. Round i to 2 dps.
-0.07
Let f = 4746 + -4814.02. Let b = -0.44 - -67.44. Let x = f + b. Round x to one decimal place.
-1
Let m = -201.099573 + 201.1. Round m to 5 dps.
0.00043
Let m = 11.31 - 8.459. What is m rounded to the nearest 10?
0
Let g = 0.059 + 37.041. Let s = 172.2 - 164. Let i = s - g. Round i to 0 dps.
-29
Let n = -2603.5 - -2473.21. What is n rounded to the nearest ten?
-130
Let n = -70 + 72. Let l be n - 0 - (-8 - -3). Let k be -2*(-1)/l - 919836/126. Round k to the nearest one thousand.
-7000
Let b = 1199 - 1199.1291. Let c = 0.1289381 + b. Round c to five decimal places.
-0.00016
Let v = 26079.8 + -26034.7446. Let x = -45 + v. Let w = x - 0.0121. What is w rounded to three decimal places?
0.043
Let j = 385 + -376. Suppose -15*h = -j*h - 69600. What is h rounded to the nearest 100?
11600
Let f(x) = x**2 + 842. Let a be f(0). Let i be (-3 + 4 - (-16 - -13)) + -1. Suppose -i*s + a = -5*s. What is s rounded to the nearest 100?
-400
Let k = -179.2 - 3290.8. Let m = -3525.84 - k. Let n = -52 - m. What is n rounded to one decimal place?
3.8
Let t = -0.165348 + 1.678218. Let w = t - 1.52. What is w rounded to 4 decimal places?
-0.0071
Let w = -2149.61 - 35.39. Let c = -2185.923 - w. What is c rounded to 1 decimal place?
-0.9
Let n(m) = -39707*m**3 - 4*m**2 - 40*m - 23. Let z be n(7). What is z rounded to the nearest 1000000?
-14000000
Suppose -w - 429196 = 2*k, 86281 = 3*k + 2*w + 730073. Round k to the nearest 10000.
-210000
Let r be 84/(-462) + 20988004/22. Round r to the nearest one hundred thousand.
1000000
Let g = 11101.653 + -11094. Let l = -0.918 - -2.441. Let u = l - g. What is u rounded to 0 dps?
-6
Let i = -400659270 - -400659168.9999788. Let m = -101 - i. Round m to 6 dps.
0.000021
Let l(d) = -d**3 + 10*d**2 - 6*d - 11. Let a be l(5). Let g be ((-120000)/7)/(4/a). Round g to the nearest one hundred thousand.
-400000
Let z be (-2)/(275/135 | {
"pile_set_name": "DM Mathematics"
} |
Solve -11*v - 8*v + 4*v - 60 = 0 for v.
-4
Solve 136*m = 75*m + 67*m - 36 for m.
6
Solve 2619*s + 30 = 2624*s for s.
6
Solve 646*z = -740*z + 555*z + 20775 for z.
25
Solve 215*m = 77*m - 191*m + 5922 for m.
18
Solve 174*r + 3706 = -r - 43*r for r.
-17
Solve -39*q + 327*q + 34*q - 8050 = 0 for q.
25
Solve 509*w - 575 = 8004 - 1962 for w.
13
Solve -270 = -102*h + 84*h for h.
15
Solve -6353*i = -6336*i + 34 for i.
-2
Solve -38 + 2 + 3 = 11*l for l.
-3
Solve 715 = 677*p - 2138 - 532 for p.
5
Solve 39*f - 1293 = -630 for f.
17
Solve -3402 = -1148*n + 1337*n for n.
-18
Solve -8*d - 87 = 51*d + 31 for d.
-2
Solve 80*p + 134 = -34*p - 322 for p.
-4
Solve 0 = -0*k + 46*k - k - 45 for k.
1
Solve 448 = 47*l + 845 - 444 for l.
1
Solve 69*a - 23*a = -45*a - 1729 for a.
-19
Solve 250*v = -609 - 891 for v.
-6
Solve -368*j + 377*j = 27 for j.
3
Solve -3*c = -44*c - 2*c - 344 for c.
-8
Solve 23*b - 63*b + 913 = 513 for b.
10
Solve 10 = 84*j - 1842 - 80 for j.
23
Solve -17*c - 20 = -42*c + 15*c for c.
2
Solve -546*k + 1019*k + 297 = 506*k for k.
9
Solve -35*o + 192 = 24*o - 43*o for o.
12
Solve -36*p + 90 - 23 = -113 for p.
5
Solve 209 = -255*f - 46 for f.
-1
Solve 216 = 130*t + 86*t for t.
1
Solve 568*p + 143 = -756*p + 12059 for p.
9
Solve -200*c + 54 = -209*c for c.
-6
Solve -86*y - 24123 = 1333*y for y.
-17
Solve 0*d - 89*d + 1120 = 23*d for d.
10
Solve 6*p - 30 = -121 - 17 for p.
-18
Solve 2*r = 245*r + 5886 + 675 for r.
-27
Solve 162 = 178*r - 151*r for r.
6
Solve 153 = 8106*o - 8115*o for o.
-17
Solve 0 = 17128*f - 17109*f + 209 for f.
-11
Solve -28*k - 44 = -39*k for k.
4
Solve -10*o + 26445 = 26535 for o.
-9
Solve -62*i - 62*i = -116*i + 16 for i.
-2
Solve w + 667 - 685 = 0 for w.
18
Solve -9969*j + 9978*j + 108 = 0 for j.
-12
Solve -16*c - 6*c = 931 - 975 for c.
2
Solve 23*t = 3*t + 160 for t.
8
Solve 0 = 21*v - 88453 + 88999 for v.
-26
Solve 16 = 6*b + 10 + 30 for b.
-4
Solve 11*x + 15101 = 14969 for x.
-12
Solve s - 117*s + 2004 - 3048 = 0 for s.
-9
Solve -36*b + 253*b = 5425 for b.
25
Solve 129 + 131 = -26*r + 52*r for r.
10
Solve -207*d - 213*d = 287*d - 3535 for d.
5
Solve -116*g + 4*g - 288 - 1056 = 0 for g.
-12
Solve -110*b = 61*b + 513 for b.
-3
Solve 131*n - 383 = 186*n - 53 for n.
-6
Solve -252*n - 610*n = -135*n + 2181 for n.
-3
Solve -237*g - 1125 = -112*g for g.
-9
Solve 24*i + 3*i = 24*i - 12 for i.
-4
Solve -51*p = -103*p + 40*p + 48 for p.
4
Solve -1078 + 770 = -28*h for h.
11
Solve 1154*z + 936 = 1115*z for z.
-24
Solve -72*g - 30 - 295 = 323 for g.
-9
Solve 1055*m = 1203*m - 148 for m.
1
Solve 2*o + 2*o - 61 = -101 for o.
-10
Solve -107*s - 214 - 107 = 0 for s.
-3
Solve -113*b + 56664 = 59376 for b.
-24
Solve 0 = 32*j + 13 - 45 for j.
1
Solve 2680 = 397*c - 6054 for c.
22
Solve 92 = -25*o - 33 for o.
-5
Solve -133*m + 902 = 92*m - 1798 for m.
12
Solve -90760*b = -90778*b - 432 for b.
-24
Solve -a - 366 = 16*a - 417 for a.
3
Solve 122*v - 1053 + 3493 = 0 for v.
-20
Solve -3114 = 203*z + 287 + 253 for z.
-18
Solve 53*l - 132*l = -711 for l.
9
Solve -242*m + 3053 = 360*m - 559 for m.
6
Solve 17*j - 61 = -25*j - 19*j for j.
1
Solve -12*i - 103 = 12*i + 233 for i.
-14
Solve 52 + 79 = -14*o - 79 for o.
-15
Solve -3211*t = -3300*t - 3115 for t.
-35
Solve 0 = 30*r - 142*r - 1680 for r.
-15
Solve 15*r - 14*r = -12*r + 39 for r.
3
Solve 134*t - 53*t - 1 + 1 = 0 for t.
0
Solve 1377*n = 1345*n + 224 for n.
7
Solve -28*n = -241*n + 1922 + 634 for n.
12
Solve -6729 + 1729 = 427*h + 1832 for h.
-16
Solve 3*s - 10 - 1 = 1 for s.
4
Solve -62*t + 53 = -815 for t.
14
Solve -3308*i + 3370*i + 186 = 0 for i.
-3
Solve -18969 + 17877 = -39*o for o.
28
Solve -420*f = -1164*f - 28781 + 7205 for f.
-29
Solve -68*b = -571 + 125 - 506 for b.
14
Solve 180*q + 2856 + 2867 + 37 = 0 for q.
-32
Solve 456085*c = 456083*c + 42 for c.
21
Solve 91*l - 478 = 30*l + 1108 for l.
26
Solve -39*d + 95*d = 15*d + 574 for d.
14
Solve 745*a - 515*a = -690 for a.
-3
Solve 6*m = -17*m - 46 for m.
-2
Solve 1220 - 1207 = -13*o for o.
-1
Solve 58*v - 59 - 185 = 336 for v.
10
Solve 1140 = -4917*b + 4727*b for b.
-6
Solve 96*v = 103*v - 156 - 5 for v.
23
Solve 56*x + 86*x = 37*x - 2310 for x.
-22
Solve 32*j - 15855 = -16655 for j.
-25
Solve -81*c = -84*c - 3 for c.
-1
Solve 4160*k = 3678*k + 8676 for k.
18
Solve -429*m - 10863 + 1425 = 0 for m.
-22
Solve -251*i + 15 = -250*i for i.
15
Solve 787*q - 8485 + 3957 = 5703 for q.
13
Solve 7*n - 177 - 15 = -5*n for n.
16
Solve -15*o - 122*o - 229 = 182 for o.
-3
Solve -661 = 231*t - 3895 for t.
14
Solve 18*f + 22*f + 333 = 3*f for f.
-9
Solve -28597 + 29237 = -32*o for o.
-20
Solve 2*x + 4*x - 16*x = 20*x for x.
0
Solve 492 = -34*p + 10*p - 17*p for p.
-12
Solve 8319*b + 2610 = 8464*b for b.
18
Solve -19*k - 7*k - 6151 = -5319 for k.
-32
Solve 1139 - 243 = -112*z for z.
-8
Solve -11*y + 171 = -74*y + 6*y for y.
-3
Solve 196*j + 18095 = 15939 for j.
-11
Solve -29*k + 32*k - 208 = -13*k for k.
13
Solve 2491*f = 2485*f + 36 for f.
6
Solve -36 - 32 = -11*g + 130 for g.
18
Solve -570*a = -545*a + 350 for a.
-14
Solve 80 = 11*y + 101 - 373 for y.
32
Solve 359 + 714 = 79*w - 349 for w.
18
Solve 177*b = -189 + 366 for b.
1
Solve -42*n = 75*n - 468 for n.
4
Solve 274*k = 1026 + 70 for k.
4
Solve 546*m - 10426 - 4880 + 2748 = 0 for m.
23
Solve 0 = 2199*c - 2577 - 30408 for c.
15
Solve 0 = -33*t + 128*t - 61*t + 340 for t.
-10
Solve -25 + 5 = -5*k for k.
4
Solve -16*p - 15*p - 53*p - 1008 = 0 for p.
-12
Solve -76*h - 68*h + 265 = 265 for h.
0
Solve -545 + 592 = 31*t - 728 for t.
25
Solve -2*m - 12 = -6*m + 4 for m.
4
Solve 1829*h + 4617 = -31963 for h.
-20
Solve -1244*b = -1255*b + 55 for b.
5
Solve -61*x = -7456 + 7456 for x.
0
Solve -640 = -92*s + 4 for s.
7
Solve -231*k + 323*k + 276 = 0 for k.
-3
Solve 64*t - 247 = 457 for t.
11
Solve -9643*z + 120 = -9658*z for z.
-8
Solve 12*t - 486876 = -487152 for t.
-23
Solve -19*w + 172 = 438 for w.
-14
Solve -414*n + 422*n + 14 + 106 = 0 for n.
-15
Solve -1880*d = -1771*d + 1308 for d.
-12
Solve -812 - 13 = -75*i for i.
11
Solve 101 + 1429 = -102*s for s.
-15
Solve -27 = -4*v - 12*v - 75 for v.
-3
Solve -11*v - 580317 = -580130 for v.
-17
Solve -47*y - 20591 = -20826 for y.
5
Solve -63390 = -11*j - 63643 for j.
-23
Solve 41*j - 124*j = -577*j for j.
0
Solve -6*u - 69 + 33 = 0 for u.
-6
Solve 128 = -8*n + 232 for n.
13
Solve 825*i - 403*i = -6330 for i.
-15
Solve -15*a - 456 = -591 for a.
9
Solve 0 = 92*k + 759 - 2231 for k.
16
Solve -41 = -70*k + 4*k - 569 for k.
-8
Solve 44*h - 22*h + 1272 = 181*h for h.
8
Solve 78*v - 37*v = 32*v + 31*v for v.
0
Solve -18*j + 57 = -93 + 6 for j.
8
Solve 10*o + 3*o - 4466 = 167*o for o.
-29
Solve -142*o = -206 - 225 + 5 for o.
3
Solve -4048*q + 4061*q + 389 + 40 = 0 for q.
-33
Solve -48013 + 51523 = -117*t for t.
-30
Solve 2110*u = 2128*u - 315 + 99 for u.
12
Solve 170 + 475 = -72*d - 1155 for d.
-25
Solve -6 + 278 = 13*n + 4*n for n.
16
Solve 3 + 0 = -x + 1 for x.
-2
Solve -15*a - 699 = -63*a - 123 for a.
12
Solve 7*v = 22*v - 4 - 71 for v.
5
Solve 53*i + 6375 - 6004 = 0 for i.
-7
Solve 391869*j = 391943*j + 740 for j.
-10
Solve -222 + 54 = 14*q for q.
-12
Solve -17*s - 56 = -41*s + 64 for s.
5
Solve 46*a - 175 = 193 for a.
8
Solve 70*q + 162*q + 3944 = 0 for q.
-17
Solve 576*l = 1887 - 159 for l.
3
Solve -39*h = -56 + 251 for h.
-5
Solve -2488*f + 12216 = -2997*f for f.
-24
Solve -217 - 93 - 31 = 31*w for w.
-11
Solve 103*r + 2143 = 3379 for r.
12
Solve -19*a - 129*a - 18*a + 2656 = 0 for a.
16
Solve -2022*n + 2119*n = -2037 for n.
-21
Solve -15*x + 23 = -4 - 18 for x.
3
Solve -320*u - 416 = -372*u for u.
8
Solve 37*v - 1965858 = -1965747 for v.
3
Solve -1425*f = -1405*f - 260 for f.
13
Solve 287 = 34*q + 185 for q.
3
Solve 204 = 31*h - 83*h - 50*h for h.
-2
Solve 137*s + 298 = 203*s + 826 for s.
-8
Solve 132*z - 127*z + 104 = 4 for z.
-20
Solve 76*r = 100*r + 266 - 2 for r.
-11
Solve 275 = 2440*j - 2495*j for j.
-5
Solve -9*p + 245 = -49*p - 315 for p.
-14
Solve -3081 = 73*t - 4322 for t.
17
Solve 4561 = 9*p + 4579 for p.
-2
Solve -125 + 39 = 111*l + 136 for l.
-2
Solve -240 = -21*m + 68*m - 27*m for m.
-12
Solve -221*c = -771*c + 13200 for c.
24
Solve -97*n - 117*n = -3852 for n.
18
Solve -4088 = 319*s + 532 + 6864 for s.
-36
Solve -214*d = -240*d - 286 for d.
-11
| {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {l: 1, a: 2, z: 4}.
6/35
What is prob of picking 2 m, 1 w, and 1 f when four letters picked without replacement from {g: 2, f: 8, m: 4, w: 3}?
36/595
Two letters picked without replacement from zmmmzzzozzlomcmj. What is prob of picking 1 c and 1 m?
1/24
Four letters picked without replacement from {d: 4, y: 4, i: 9}. What is prob of picking 3 d and 1 y?
4/595
What is prob of picking 3 w when three letters picked without replacement from wrrrwrwwrrrwr?
5/143
Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {m: 1, w: 10, y: 2, z: 3, l: 3}.
1/3876
Four letters picked without replacement from {w: 2, u: 2, l: 1, b: 2, a: 1}. What is prob of picking 1 w, 2 u, and 1 b?
2/35
Three letters picked without replacement from kxlnxxxllkkkkll. What is prob of picking 1 k, 1 l, and 1 x?
20/91
What is prob of picking 2 n and 1 q when three letters picked without replacement from {q: 4, k: 1, c: 3, n: 5}?
20/143
Two letters picked without replacement from {q: 3, j: 5, h: 1}. What is prob of picking 1 h and 1 j?
5/36
What is prob of picking 1 i, 1 f, 1 t, and 1 h when four letters picked without replacement from {t: 1, f: 2, i: 2, h: 4, j: 1}?
8/105
Calculate prob of picking 2 m when two letters picked without replacement from {o: 2, r: 8, m: 4}.
6/91
Calculate prob of picking 1 d, 1 w, and 1 m when three letters picked without replacement from eweeedmtwtyt.
1/110
Three letters picked without replacement from {m: 3, h: 2, d: 1, p: 1}. Give prob of picking 1 d, 1 h, and 1 m.
6/35
What is prob of picking 1 b and 2 e when three letters picked without replacement from {k: 1, n: 1, b: 3, e: 2}?
3/35
Calculate prob of picking 1 l, 1 y, and 1 x when three letters picked without replacement from xfwoywlx.
1/28
What is prob of picking 2 e and 1 i when three letters picked without replacement from iiiiiiqieyeiqqiieq?
5/136
Three letters picked without replacement from ppukuususprkhkkuup. What is prob of picking 1 s, 1 p, and 1 h?
1/102
Two letters picked without replacement from {c: 3, m: 1, l: 1, f: 2}. Give prob of picking 1 m and 1 f.
2/21
What is prob of picking 2 s when two letters picked without replacement from {b: 3, i: 2, s: 9, j: 4}?
4/17
Calculate prob of picking 2 w when two letters picked without replacement from {z: 1, w: 12}.
11/13
What is prob of picking 1 b, 1 i, and 1 p when three letters picked without replacement from {i: 3, m: 1, r: 5, p: 1, b: 1}?
1/55
What is prob of picking 2 r when two letters picked without replacement from {r: 3, x: 3, u: 2}?
3/28
What is prob of picking 1 v and 2 p when three letters picked without replacement from pvmpvvcmscpcvccvvvvs?
2/95
What is prob of picking 1 v, 1 e, 1 n, and 1 x when four letters picked without replacement from enxnnmeneemvtmtmemn?
25/3876
What is prob of picking 1 l and 1 a when two letters picked without replacement from {a: 3, r: 1, l: 1}?
3/10
Calculate prob of picking 2 g when two letters picked without replacement from jjggjjjjj.
1/36
What is prob of picking 1 b, 1 f, and 1 u when three letters picked without replacement from vfbbfufvbbv?
4/55
Two letters picked without replacement from pmzzpmzztppzpmpzz. Give prob of picking 1 z and 1 t.
7/136
Calculate prob of picking 1 h, 1 l, and 2 r when four letters picked without replacement from {g: 2, l: 1, h: 1, r: 2, q: 1}.
1/35
What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 5, g: 1, f: 6, u: 7}?
10/57
What is prob of picking 1 u and 1 v when two letters picked without replacement from {o: 1, j: 1, u: 1, v: 1, a: 1}?
1/10
Four letters picked without replacement from nnnnnnnnnnncnnn. What is prob of picking 4 n?
11/15
What is prob of picking 3 r when three letters picked without replacement from {j: 1, r: 4, f: 2, u: 1}?
1/14
Two letters picked without replacement from {j: 1, i: 2, b: 1}. Give prob of picking 1 i and 1 j.
1/3
What is prob of picking 4 w when four letters picked without replacement from {w: 10}?
1
Calculate prob of picking 1 i, 2 h, and 1 m when four letters picked without replacement from {h: 2, i: 4, x: 3, m: 2}.
4/165
Calculate prob of picking 2 a when two letters picked without replacement from aaaqaaaqaaaaqaaaaa.
35/51
Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {k: 1, h: 3, w: 6, a: 2, q: 1}.
2/13
Three letters picked without replacement from {l: 2, r: 2, f: 5, x: 5, k: 5}. What is prob of picking 1 f, 1 r, and 1 x?
50/969
Calculate prob of picking 3 c and 1 g when four letters picked without replacement from {c: 3, g: 17}.
1/285
Three letters picked without replacement from ffukkfpupkpufk. Give prob of picking 1 f and 2 u.
3/91
What is prob of picking 2 n and 1 r when three letters picked without replacement from ininnbnebnbynry?
3/91
Three letters picked without replacement from pxhhphph. Give prob of picking 2 p and 1 h.
3/14
Four letters picked without replacement from {x: 5, j: 2, c: 3, w: 2, e: 3}. What is prob of picking 2 c, 1 j, and 1 e?
6/455
Two letters picked without replacement from bbbbbbbbbxbbbbb. Give prob of picking 2 b.
13/15
Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {q: 1, x: 2, i: 3, t: 1}.
1/7
Four letters picked without replacement from {b: 2, f: 8, w: 2, m: 3}. Give prob of picking 1 w, 1 m, and 2 f.
8/65
What is prob of picking 3 k when three letters picked without replacement from {k: 3, l: 2, e: 2, w: 2, c: 4}?
1/286
Two letters picked without replacement from {o: 1, y: 1, q: 4, j: 1, f: 1}. Give prob of picking 1 q and 1 y.
1/7
Four letters picked without replacement from {i: 2, f: 5, a: 1, m: 1}. Give prob of picking 2 f and 2 i.
5/63
Calculate prob of picking 4 p when four letters picked without replacement from ppipppippp.
1/3
What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 3, c: 5}?
15/28
What is prob of picking 1 e and 3 b when four letters picked without replacement from {m: 4, b: 8, e: 1}?
56/715
What is prob of picking 2 h when two letters picked without replacement from {h: 2, t: 1, l: 1}?
1/6
Three letters picked without replacement from {m: 5, z: 8}. What is prob of picking 3 z?
28/143
What is prob of picking 1 j and 3 t when four letters picked without replacement from {j: 5, t: 5}?
5/21
What is prob of picking 2 h when two letters picked without replacement from vvvvvvvvvhhvv?
1/78
Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, o: 2, b: 2, i: 4, c: 6, l: 3}.
2/51
Two letters picked without replacement from xgxjzvzgxvjxzxgxdg. Give prob of picking 1 z and 1 g.
4/51
Two letters picked without replacement from {s: 3, z: 3, u: 10, l: 3}. What is prob of picking 2 l?
1/57
Two letters picked without replacement from {b: 1, j: 4, m: 2, f: 4}. What is prob of picking 1 b and 1 m?
2/55
Calculate prob of picking 1 x, 2 o, and 1 f when four letters picked without replacement from {x: 2, f: 5, o: 4}.
2/11
Three letters picked without replacement from lollotttl. Give prob of picking 2 o and 1 t.
1/28
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {f: 1, w: 1, l: 2, q: 1}.
1/10
Two letters picked without replacement from iiuytwj. What is prob of picking 1 t and 1 y?
1/21
What is prob of picking 2 b and 1 z when three letters picked without replacement from {b: 4, x: 3, h: 7, z: 4}?
1/34
Four letters picked without replacement from {m: 8, j: 8, e: 4}. Give prob of picking 4 e.
1/4845
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from psppppppspppsppp.
13/40
Two letters picked without replacement from fzffffffffzz. Give prob of picking 2 z.
1/22
Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnbnb.
36/55
Calculate prob of picking 4 k when four letters picked without replacement from {p: 5, k: 14}.
1001/3876
Two letters picked without replacement from {a: 3, f: 2, k: 6, t: 6, u: 3}. What is prob of picking 2 u?
3/190
What is prob of picking 1 w, 1 g, and 1 a when three letters picked without replacement from {b: 1, a: 3, w: 1, g: 1, k: 1}?
3/35
Calculate prob of picking 3 z when three letters picked without repla | {
"pile_set_name": "DM Mathematics"
} |
r letters picked without replacement from {h: 9}. Give prob of sequence hhhh.
1
Three letters picked without replacement from {a: 2, m: 3}. What is prob of sequence mmm?
1/10
What is prob of sequence zz when two letters picked without replacement from zfzffffz?
3/28
Two letters picked without replacement from {a: 9, t: 4, i: 4, d: 3}. Give prob of sequence da.
27/380
Calculate prob of sequence vmpi when four letters picked without replacement from {i: 1, p: 1, s: 1, m: 1, v: 1}.
1/120
Four letters picked without replacement from lllrhrglgrhrgrr. Give prob of sequence hlhl.
1/1365
Four letters picked without replacement from {d: 11, m: 1, r: 6}. Give prob of sequence mddd.
11/816
Calculate prob of sequence tz when two letters picked without replacement from {z: 1, t: 1, b: 1}.
1/6
What is prob of sequence nt when two letters picked without replacement from nqotgqqqsssssso?
1/210
What is prob of sequence svqh when four letters picked without replacement from hhsqhvshvhhhhh?
3/2002
Three letters picked without replacement from {j: 1, w: 1, r: 5, x: 2, m: 2, h: 2}. Give prob of sequence wrr.
5/429
Four letters picked without replacement from {p: 9, l: 2, x: 2}. What is prob of sequence lxxl?
1/4290
Three letters picked without replacement from {h: 1, m: 1, e: 3, r: 1, y: 2, w: 3}. Give prob of sequence eye.
2/165
What is prob of sequence hw when two letters picked without replacement from lwwlllwlwwhwlwllwh?
8/153
Calculate prob of sequence wmd when three letters picked without replacement from {a: 1, w: 2, m: 10, z: 2, d: 1, v: 2}.
5/1224
What is prob of sequence zz when two letters picked without replacement from {z: 3, i: 1}?
1/2
What is prob of sequence ffc when three letters picked without replacement from {g: 4, c: 2, f: 3}?
1/42
What is prob of sequence lls when three letters picked without replacement from {s: 2, l: 6}?
5/28
What is prob of sequence clc when three letters picked without replacement from culfcllcllc?
2/33
Two letters picked without replacement from {v: 1, q: 9, f: 1, l: 1, y: 3, i: 3}. What is prob of sequence iy?
1/34
Two letters picked without replacement from {w: 7, o: 2, b: 4}. Give prob of sequence ow.
7/78
Two letters picked without replacement from sst. Give prob of sequence st.
1/3
Two letters picked without replacement from {f: 4, q: 2, m: 1, y: 1, l: 1}. What is prob of sequence mq?
1/36
Two letters picked without replacement from {u: 8, f: 2, n: 8}. What is prob of sequence uf?
8/153
Two letters picked without replacement from rrx. What is prob of sequence xr?
1/3
Three letters picked without replacement from {o: 3, g: 4}. What is prob of sequence ggo?
6/35
Calculate prob of sequence udqq when four letters picked without replacement from uqqqduu.
3/140
What is prob of sequence xe when two letters picked without replacement from {j: 2, e: 3, x: 8, b: 3}?
1/10
Four letters picked without replacement from {i: 7}. Give prob of sequence iiii.
1
Two letters picked without replacement from {b: 1, a: 8, i: 4}. Give prob of sequence ii.
1/13
Calculate prob of sequence gnn when three letters picked without replacement from gioonnbigngg.
1/55
Four letters picked without replacement from bvvvvbbbbbbbbbbbbb. Give prob of sequence bvvb.
91/3060
Calculate prob of sequence nn when two letters picked without replacement from ggngnnnggn.
2/9
What is prob of sequence vva when three letters picked without replacement from wvnwaawwwvnaannvw?
1/170
Calculate prob of sequence ls when two letters picked without replacement from sildf.
1/20
Three letters picked without replacement from {v: 4, d: 6}. Give prob of sequence vdv.
1/10
Four letters picked without replacement from fhrgjfxr. What is prob of sequence gxfx?
0
What is prob of sequence lee when three letters picked without replacement from zeueuuleelu?
4/165
Four letters picked without replacement from lccccctuclluhctcc. What is prob of sequence htlu?
1/4760
Three letters picked without replacement from vcccccvvcccvvvcv. What is prob of sequence vvv?
1/16
What is prob of sequence hhqq when four letters picked without replacement from hhhhhqhhqh?
1/45
Two letters picked without replacement from {j: 3, o: 1, x: 2, r: 8, m: 2, e: 1}. What is prob of sequence mx?
1/68
Four letters picked without replacement from {u: 5}. Give prob of sequence uuuu.
1
Four letters picked without replacement from {w: 4, b: 5, k: 8}. Give prob of sequence wbbw.
1/238
What is prob of sequence uuk when three letters picked without replacement from {k: 1, r: 1, u: 2}?
1/12
What is prob of sequence xn when two letters picked without replacement from ddpnarpadxadnddddd?
1/153
Calculate prob of sequence ss when two letters picked without replacement from shspll.
1/15
Calculate prob of sequence vv when two letters picked without replacement from {v: 2, x: 9}.
1/55
What is prob of sequence gg when two letters picked without replacement from gviauvttgvvtua?
1/91
Three letters picked without replacement from sssssssssmssm. What is prob of sequence mms?
1/78
Calculate prob of sequence ysys when four letters picked without replacement from {y: 3, s: 2}.
1/10
Four letters picked without replacement from geexxlexggegggeexe. What is prob of sequence ggxg?
1/153
What is prob of sequence ve when two letters picked without replacement from {v: 1, y: 2, f: 8, j: 1, e: 1, o: 3}?
1/240
Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjmjmm.
28/55
Three letters picked without replacement from rgiiruiour. Give prob of sequence uig.
1/120
Calculate prob of sequence gdfg when four letters picked without replacement from {w: 1, u: 1, d: 2, f: 2, l: 4, g: 4}.
2/1001
Four letters picked without replacement from {t: 2, o: 2}. What is prob of sequence otot?
1/6
Two letters picked without replacement from cmbbcbbwbmb. Give prob of sequence bc.
6/55
Three letters picked without replacement from pspsvkbpvvpepbepeevs. What is prob of sequence bsp?
1/190
Four letters picked without replacement from {i: 1, k: 1, u: 5, q: 7, r: 4, c: 2}. Give prob of sequence iqkq.
7/19380
Calculate prob of sequence gf when two letters picked without replacement from rurvfuccrrgru.
1/156
Three letters picked without replacement from {c: 7, m: 6, s: 2}. Give prob of sequence smc.
2/65
Four letters picked without replacement from dvwvgcdcvccgw. What is prob of sequence vdwg?
1/715
What is prob of sequence kq when two letters picked without replacement from kkqkaqakkqkkaakk?
9/80
Four letters picked without replacement from {b: 1, v: 14, m: 2, e: 2}. Give prob of sequence vevv.
91/1938
Two letters picked without replacement from {r: 2, x: 3, b: 1, f: 1}. What is prob of sequence bf?
1/42
Three letters picked without replacement from {y: 4, u: 6, s: 2, i: 1, x: 4}. Give prob of sequence suu.
1/68
Two letters picked without replacement from {l: 3, v: 1, m: 3, q: 3}. Give prob of sequence vq.
1/30
What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqq?
1
Two letters picked without replacement from {d: 2, y: 1, s: 7, t: 3, r: 4}. Give prob of sequence ss.
21/136
What is prob of sequence jvj when three letters picked without replacement from vvvpvpjppj?
1/90
Two letters picked without replacement from {h: 1, u: 2, d: 3, q: 1, m: 2, c: 3}. What is prob of sequence dd?
1/22
Three letters picked without replacement from {d: 1, r: 1, c: 1, h: 1, a: 2, j: 1}. Give prob of sequence jdc.
1/210
What is prob of sequence qxx when three letters picked without replacement from qxqqqqqqqqqxqqqqqq?
1/153
What is prob of sequence jrrj when four letters picked without replacement from {r: 2, j: 2}?
1/6
Three letters picked without replacement from {b: 2, t: 1, e: 1, s: 1}. What is prob of sequence tbs?
1/30
What is prob of sequence eqq when three letters picked without replacement from {e: 3, q: 4, h: 9, j: 2}?
1/136
Four letters picked without replacement from laattlalllallt. Give prob of sequence alta.
3/286
Four letters picked without replacement from hkakhyb. What is prob of sequence bhyb?
0
What is prob of sequence sq when two letters picked without replacement from mmsmqmmmmmmmvmmmv?
1/272
Two letters picked without replacement from hbbkbkhk. Give prob of sequence bk.
9/56
Calculate prob of sequence ww | {
"pile_set_name": "DM Mathematics"
} |
k)*(-k + 15*k + 5*k) as t + y*k**2 + s*k and give y.
-133
Express (18*h - 2*h - h)*(-3 + h**2 + 3)*(-4 - 24*h + 4) as s*h + r*h**2 + t + w*h**4 + q*h**3 and give w.
-360
Rearrange (30*t**2 + 88*t**2 - 59*t**2)*(-11 - 15 - 9) to the form i + s*t + p*t**2 and give p.
-2065
Rearrange 800 - 800 - 163*m - 23*m - 269*m to p + v*m and give v.
-455
Rearrange (3*c - 8*c - 38*c)*(0*c + c + c)*(-5*c + 5*c - 2*c) to u*c**2 + f*c**3 + m + q*c and give f.
172
Rearrange (2 - 2 + 3)*(-2*q**2 + q**2 + 2*q**2) + 2*q**2 + 2*q**2 - q**2 to the form x*q + r*q**2 + m and give m.
0
Rearrange (87*y + 157*y + 140*y)*(2 - 3 - 1)*(-5*y + 3*y + 3*y) to the form j*y + s + n*y**2 and give n.
-768
Express -8*l**2 - 73*l**3 + 72*l**3 + 8*l**2 - 13 in the form m + j*l**2 + h*l + f*l**3 and give m.
-13
Express 45*h + 115 + 44*h + 5*h**2 - 44 - 89*h as o*h**2 + i + p*h and give o.
5
Rearrange -2*x - 17*x + x**2 + 12*x**3 + 3*x - 10*x - 11*x**3 to s*x**2 + z + n*x**3 + o*x and give o.
-26
Express 431*n**2 + 434*n**2 - 4*n - 859*n**2 + 2*n + 36*n**3 as p*n + t + m*n**3 + o*n**2 and give t.
0
Rearrange -54 + s**3 + 67 + 3*s**2 - 5*s + 0*s**2 - 5*s**2 to z + w*s**3 + x*s**2 + q*s and give z.
13
Express 106*n**2 + 187*n**2 + 33*n**2 - 60*n**2 as z + b*n**2 + v*n and give v.
0
Rearrange (6 + 20 + 8*u - 10)*(0 + 2 - 5) to i + f*u and give f.
-24
Express -2*l - 4 + 2*l - 5*l + l + 3*l in the form a + p*l and give a.
-4
Rearrange -22*c - 7*c**3 + 6*c**3 - 420*c**2 - 1 - 2 + 422*c**2 - c**4 to the form q*c**3 + k*c**2 + s + z*c + f*c**4 and give z.
-22
Express -5*o**2 + 107*o**3 + 3*o**2 - 48*o**3 in the form i + k*o + t*o**3 + p*o**2 and give k.
0
Rearrange 20 - 3*y - 31 + 10*y to k*y + h and give h.
-11
Rearrange (25*z - 4*z + 4*z)*(1 - 4 - 2)*(1 + 0 + 1) to o*z + q and give o.
-250
Rearrange 2*t**3 - 75*t**4 - t**3 - 13 - 34*t - 76*t**4 + 153*t**4 + 12 to l*t**4 + n*t**3 + m + d*t**2 + o*t and give o.
-34
Rearrange (-528 + 23*x + 528)*((3*x - 6*x + 4*x)*(2 - 3 + 3) - x + 0*x + 16*x) to the form y*x**2 + c*x + s and give y.
391
Rearrange -2 - 21*s - 5*s**3 + 20*s - 2*s**2 + 15*s**3 to v*s + x*s**3 + d + i*s**2 and give i.
-2
Rearrange -80791 + 50*d**2 - d**3 + 80791 + d to h*d**2 + s*d**3 + l + n*d and give s.
-1
Rearrange 11*k - 45 + 10*k + 50 + 11*k - 8*k to the form z + x*k and give x.
24
Rearrange ((-1 + 1 + 3*v)*(5 + 3 - 5) + 2*v + 2 - 2 + v + v + v)*(1 - 5 + 2)*(-2 + 8 + 4) to n*v + h and give n.
-280
Rearrange (3*d + 0 + 0)*(-34 + 18 + 3)*(-4 + 3 + 3) to z*d + x and give z.
-78
Express 2*q**3 + 2*q**3 - 81*q**4 + 2 + 2*q**2 - 2*q**3 + 0*q**3 in the form d + c*q**3 + a*q**2 + x*q + n*q**4 and give d.
2
Express (-326 - 303 + 673 + l**2)*(4 - 4 - 5*l) + (-l - l + 4*l)*(l**2 - 2 + 2) in the form g*l + j + x*l**3 + f*l**2 and give x.
-3
Rearrange -13*v**2 + 47*v**2 - 33*v**2 to p*v + n*v**2 + m and give m.
0
Express -13*v**4 - 3*v + 30*v**3 - 25 + 11*v**4 + 2*v - 12*v**3 - 16*v**3 as u*v**2 + d*v + t + w*v**4 + z*v**3 and give t.
-25
Rearrange (l + 4*l + l)*(-l**2 + 0*l**2 + 0*l**2) - 2*l**3 + 3*l - 3*l + (-52*l**3 + l**3 - 2*l**3)*(1 - 2 + 0) to k*l**3 + c + y*l**2 + j*l and give k.
45
Express 10*a**2 - 21*a**2 + 3 - 41*a**2 as l + s*a + q*a**2 and give s.
0
Express (0*c + 7*c + c)*(2 - 8 - 4)*(2*c - 2*c + 3*c) in the form j*c**2 + i + s*c and give j.
-240
Express 5 - 6 - 45*n + 0*n**2 - 8*n**2 + n**4 + 6*n**2 as l*n + m + a*n**2 + j*n**4 + p*n**3 and give a.
-2
Rearrange 0 + 0 - 322*m**2 + 85*m**2 to the form t*m**2 + o*m + h and give o.
0
Rearrange (11 - 3*c - 13 + 16*c)*(-5 + 2*c**2 + 2 + 8) to the form w*c + d*c**2 + v*c**3 + h and give v.
26
Rearrange (2 + 6*v - 2*v - 5*v)*(98 + 39 - 4) to the form q + f*v and give q.
266
Rearrange -2*t**2 - 4*t**2 - 3*t**2 - 30*t + 4*t**2 to the form f*t + h + b*t**2 and give f.
-30
Rearrange -53*v**3 + 137*v**3 + 81*v**3 + 109*v**3 - v to the form d + p*v + g*v**3 + o*v**2 and give p.
-1
Express (2 - 2 - 3)*(22*r**2 - 22*r + 22*r) + 7 - 7 + 3*r**2 in the form w*r**2 + k*r + v and give w.
-63
Rearrange -267*j**2 + 2*j**4 + 265*j**2 - 4 + 5 + 0*j - 4*j + 2*j - j**3 to the form y*j**3 + m*j**2 + l + x*j**4 + k*j and give l.
1
Express m**2 + 1029*m**3 - m - 22 + 1023*m**3 - 2050*m**3 + 2*m as d*m**3 + r*m + x + v*m**2 and give v.
1
Express 42 + 198*o - 401*o - 1128*o - 42 + (1 - 1 - 2*o)*(4 - 5 + 3) as r*o + v and give v.
0
Rearrange (-10*f - 16*f + 7*f)*(3 - 2 - 3)*(2*f + 0 + 0)*(-11 - 10 + 4) to z*f + x*f**2 + l and give x.
-1292
Express (28*i - 349 + 30*i - 57*i)*(-4*i**2 + 2*i**2 + 0*i**2) in the form g + l*i**3 + s*i**2 + d*i and give l.
-2
Express (-m - 2*m + m)*(5 - 3 + 0)*(-2 - 1 + 1) in the form g*m + b and give g.
8
Rearrange 40*w - 5*w**2 + 5*w**2 - 31*w - w**3 - 1 + 2*w**2 to the form n*w**2 + y + z*w + i*w**3 and give y.
-1
Express -6*j - 7 - 2*j - 8*j + 8*j - 4*j in the form q*j + y and give q.
-12
Express 14*q**2 - 1 + 8*q - 35*q - 36*q**2 + 27*q in the form c*q**2 + o + b*q and give c.
-22
Rearrange 11 + 4*f**3 + 2*f**2 + 2*f - 78 + 0*f - 5*f**3 to t + h*f + w*f**3 + g*f**2 and give g.
2
Express -529*j - 1886*j + 3977*j in the form q + d*j and give d.
1562
Express ((-i**2 + 3*i**2 + 0*i**2)*(-i + 3*i - i) + 2*i - 1 - 5*i**3 + 1)*(3 - 1 - 8) as n*i + k + r*i**2 + a*i**3 and give a.
18
Rearrange 28*x**2 - 4*x - 200 + 201 - x**4 - 23*x**2 to o*x**2 + a*x**3 + p*x + s + b*x**4 and give o.
5
Express -94*c**2 + 3*c - 105*c**2 - 114*c**2 + 286*c**2 in the form w*c + f + q*c**2 and give q.
-27
Express -360*m**3 + m**2 - 3*m**2 + 72*m**3 - 57*m**3 as t*m**2 + j*m + i + h*m**3 and give h.
-345
Rearrange -4*q**2 - q**2 - 5*q**2 + 2 - 11*q**2 + q**2 to the form n*q**2 + x + g*q and give n.
-20
Rearrange 144*h - 15*h + 156*h - 2*h**2 to v + b*h + t*h**2 and give t.
-2
Rearrange -15 + 107 - 19 + 2*y to the form g*y + a and give a.
73
Express (2*x + 4*x - 4*x)*(-37*x + 46 - 46) + (-1 + 0 + 0)*(0*x**2 - 7*x**2 + 0*x**2) + 2*x**2 - x + x as a + l*x + q*x**2 and give q.
-65
Express (-127 + 1440*t**2 + 254 - 125 + t)*(3 - 2 + 0) in the form q + y*t + c*t**2 and give q.
2
Rearrange 8*f**4 - f - 1 - f**2 - 9*f**4 + 2*f**3 + 2*f**4 + 0*f**3 to a*f**4 + w*f**2 + d*f**3 + s + n*f and give s.
-1
Rearrange -m**3 + 7*m - 4*m**3 - 10*m - 22*m + 3*m**4 to o + d*m + l*m**4 + y*m**3 + n*m**2 and give d.
-25
Rearrange (0 + 0 + 2)*(1459*v**3 - 1 + 717*v**3 + 1 + 0) to i*v + n*v**3 + b + k*v**2 and give n.
4352
Rearrange 5 - 3*s - s**3 + 2*s - 10*s**4 - 4*s**4 - 3*s**2 + 12*s**4 to the form d*s**3 + n*s**2 + h + v*s + g*s**4 and give h.
5
Express (-1 + 5 - 5)*(4*t - 3*t - 2*t) - 41 - 4*t + 41 + (1 + 0 + 1)*((-2*t - 4*t + 2*t)*(-2 + 0 + 1) + 2*t - 5*t + t)*(0 + 3 - 6) as n*t + d and give n.
-15
Rearrange (-2 - 3 + 6)*(-54*h**3 - 55*h**3 + 31*h**3) - h**3 + 2*h**3 + h**3 to the form u*h**3 + a*h + x*h**2 + z and give u.
-76
Express 13*t - 2*t**2 + t**3 - 4*t - 10*t - 1 + 2*t as g*t**2 + d*t**3 + v + h*t and give d.
1
Express (1 - 1 - 2*b)*(-525 - 97 + 77)*(-b + 4*b - b) as t*b + y*b**2 + w and give y.
2180
Rearrange (u - 4*u + u)*(4*u - 5*u + 3*u) + 137 - 137 - 13*u**2 + 2314*u + 3*u**2 - 1 - 2314*u to k + z*u**2 + r*u and give k.
-1
Rearrange -59*c + 36 - 27 + 61*c + 45 to the form n + u*c and give u.
2
Rearrange (2 - 2 - 1)*(-1 - n + 1) + (-n + n - n + (77*n + 35 - 35)*(6 - 2 - 1))*(-2 + 4 - 5) to f + z*n and give z.
-689
Express (-86 - 42 - 63)*(-2*r - r + 2*r) as w + t*r and give w.
0
Rearrange o + 7 - 13*o**2 + 2*o**3 + 30*o**2 - 14*o**2 + 0*o to g + b*o**3 + d*o**2 + r*o and give b.
2
Express -23*m + 5 - 54*m**3 + 23*m + 12*m**2 - 14*m**2 + 205*m**3 as s*m + x*m**3 + g + y*m**2 and give x.
151
Rearrange (-5*p + 5*p + 5*p)*(0*p - p + 4*p) - 9 - 14 + 0 - 2*p**2 - 2*p**2 to the form m*p**2 + l*p + n and give n.
-23
Rearrange 6*g**3 + 10*g**3 - 2 - 5*g**3 + 0*g**2 - 5*g**4 + 3*g**2 - 5*g**3 to the form x*g**2 + h*g + d + t*g**3 + a*g**4 and give d.
-2
Rearrange (-2*d + 0*d + 3*d)*(-21 + 31 - 137) - 2*d + 0 + 0 + 5*d + 0*d - 3*d + (-1 + 3 - 1)*(-2 + 2 + 2*d) to the form l + n*d and give n.
-125
Express (5 + 1 - 5)*(1889*h + 2200*h - 3639*h) + 0*h - 2*h - h in the form b + i*h and give i.
447
Rearrange 2 + 4*j - 2 + 3*j - 4*j + 0*j + (1 - 1 + 2)*(-33*j + 14*j - 8*j) - 2*j + j + 2*j to the form q + l*j and give l.
-50
Rearrange 193*q**2 - 282*q**2 - 285*q**2 to | {
"pile_set_name": "DM Mathematics"
} |
*2 + 950*i as x + y*i + z*i**2 and give x.
3
Rearrange -73721*c + 10289*c**2 + 73721*c to the form u*c**2 + x*c + b and give u.
10289
Express (-3 + 3 - 3*h**3)*(186 + 83 - 34)*(-1 + 5 - 2) in the form z*h**2 + a*h**3 + d + j*h and give a.
-1410
Express 783*x - 696*x + 4288*x in the form i*x + h and give i.
4375
Express -158*y**2 - 4 + 424*y**2 - 149*y**2 + (-2*y - y**2 + 2*y)*(1 - 2 + 3) - 3 - y**2 + 3 - 1 + 2*y**2 + 1 as b*y**2 + g*y + r and give b.
116
Rearrange -1594*d**2 - 6*d + 14*d - 25 + 24 - 8*d to the form y*d + s*d**2 + m and give s.
-1594
Express 4917*m**3 + 3278*m**3 - m**2 - 2180*m**3 as v*m**3 + d*m**2 + j*m + z and give d.
-1
Express 14 + 0 - 13 + 2*v**2 + 2 - 1442*v**3 + 3*v - 83*v**3 as j + x*v**2 + c*v**3 + w*v and give x.
2
Express -b**4 - b**3 - 3*b**2 + 3*b**4 - 2*b**3 - 23 + b**2 - 1 in the form y + i*b**2 + x*b**4 + z*b + p*b**3 and give y.
-24
Rearrange 108*r + 8760 - 17520 + 8775 to p + c*r and give c.
108
Express 6*t + 51*t**2 + 3*t**3 - 8*t + 210 - 211 - 52*t**2 + 759*t**4 as g*t**3 + y*t**2 + q*t + a + p*t**4 and give p.
759
Express 23684*o**2 - 685 - 428 - 23681*o**2 - o + o in the form l*o**2 + a*o + g and give g.
-1113
Rearrange -60 - u**2 - 35*u**3 - 49 + 158 + 3*u - 51 to the form r*u + d + n*u**2 + o*u**3 and give o.
-35
Express (5*t + 3*t + 12*t)*(-462 - 390 + 61)*(-2*t**3 + 5*t**3 - 2*t**3) in the form p*t**2 + q*t**3 + j*t**4 + h + i*t and give j.
-15820
Express 2*h**2 + 4675*h**3 + 2*h - 2350*h**3 + 27 - 2326*h**3 in the form j + a*h**3 + k*h + f*h**2 and give k.
2
Rearrange 54*w**2 - 20*w - 55*w**2 + 15*w - 5*w**3 - 54 to n*w + u + x*w**3 + z*w**2 and give z.
-1
Express 2 + 5*v + 0 - 6*v**3 - 42*v**4 - 7*v + 4*v**3 + 81*v**4 as u*v**4 + y*v**3 + l + c*v + n*v**2 and give y.
-2
Rearrange (x + 2*x - 4*x)*(21 + 10 + 6)*(23*x**3 - 62*x**3 - 7*x**3) to the form o + k*x**2 + z*x + a*x**4 + s*x**3 and give a.
1702
Express -2*f + 3*f - 29 + f**2 - 72*f**3 + 74*f**3 + f - 4*f as t + o*f**3 + i*f**2 + p*f and give i.
1
Rearrange -122*l**2 - l + 3*l + 10*l**4 - 12*l**4 + 124*l**2 - 131 to the form x*l**2 + d*l**4 + s*l**3 + b + i*l and give i.
2
Rearrange 0 + 3*p + 0 + (1 + 8 - 6)*(-3*p + 3*p - 2*p) + 7*p + p - 4*p + (0*p + 3*p - 5*p)*(3 - 1 - 1) to j + i*p and give i.
-1
Express 9*j**2 + 232 - 150 + 124 in the form l + c*j + t*j**2 and give t.
9
Rearrange 101*z**3 + 39*z**2 + 15 - 15*z - 17 - 36*z**2 + 9*z to x*z**2 + y*z**3 + j*z + l and give j.
-6
Rearrange -404 + 802 - 84*g + 0*g**2 - 396 - 2*g**2 to a*g + v + l*g**2 and give a.
-84
Express 61276 + 2481*w + 61277 - 122556 in the form c*w + r and give c.
2481
Rearrange (-1 + 0 + 0)*((x**2 + 5*x**2 - x**2)*(-3 - 5*x + 3) + 34*x**3 - 25*x**3 - 20*x**2 + 40*x**2) to the form u*x**2 + d + b*x + m*x**3 and give m.
16
Express (16 - 16 - 6*r**3)*(10 - 2 + 0) + (2*r**2 - 3*r**2 + 3*r**2)*(-49*r - 8 + 8) in the form z + t*r + m*r**2 + l*r**3 and give l.
-146
Rearrange -3*q**3 + 12*q**2 + 6*q**4 - 4*q**4 - 11*q**2 - 48 + 6*q + 3*q**3 to the form w*q**2 + h*q**3 + z*q**4 + j + i*q and give h.
0
Express (4 + 0 + 2)*(-1 + 1 - 2*b**4) - b + 14*b**4 - 24372*b**3 + 2*b**4 + 24369*b**3 in the form t*b**2 + y*b + g*b**4 + n*b**3 + q and give n.
-3
Rearrange 8*s**4 + 671528*s - 2 + s**2 + 0*s**2 - 8*s**3 - 671529*s to the form a + u*s**3 + z*s**4 + n*s + v*s**2 and give u.
-8
Rearrange 1327*n - 381*n**3 - 389*n**3 + 771*n**3 - 6119*n to g + v*n + d*n**3 + p*n**2 and give d.
1
Rearrange -2*h - 2199 + 7*h + 2299 to x + f*h and give x.
100
Rearrange (-10*t**2 + 11*t**2 - 2*t - 5*t)*((0 - 6 + 3)*(-1 - 2 + 1) + (-17 + 18 - 19)*(-1 + 1 + 3)) to q + m*t**2 + h*t and give h.
336
Express (-19*t**2 + 29*t**2 - 23*t - 9*t**2)*(-2 - 1 + 2)*(-59 - 82*t + 59) in the form b*t + j*t**3 + o*t**2 + c and give o.
-1886
Express -2*t**2 + 4144 - 30*t - 2079 - 2066 in the form p*t + s + v*t**2 and give v.
-2
Rearrange -5*p**4 + 2 + 13*p**4 - 7*p**3 + 10*p**4 + 15*p**3 to the form w*p**3 + g + h*p + s*p**4 + d*p**2 and give g.
2
Express 2 - 16 - 9 - 2288*c**2 + 1142*c**2 + 1147*c**2 + 86*c**3 in the form n*c**2 + a*c + l*c**3 + s and give s.
-23
Express 3*g**2 - g**3 - 195 + 394 - 205 + (-14*g**2 - 25*g**2 + 15*g**2)*(2*g + 3*g - 7*g) in the form j*g**3 + v*g + t + d*g**2 and give t.
-6
Express (a + 0*a + a)*(0 + 4 - 2 + 0 + 0 - 2 + 0 + 1 - 2 + (-1 + 0 + 0)*(-1 + 5 - 3)) + (0 - 2 + 1)*(6*a - 14*a - 3*a) as r*a + w and give r.
7
Rearrange 21*v**2 + 6*v**2 + 7*v**2 + (-5 + 13 + 2)*(2*v**2 - 6*v**2 + 3*v**2) to s*v**2 + w + i*v and give s.
24
Express (-3*u + 0 + 0)*(-279*u**2 + 210*u**2 - 92 + 92)*(294 - 294 - 9*u) as y*u**2 + r*u**4 + j + f*u**3 + i*u and give i.
0
Rearrange (110 - 220 + 112 - 118*s)*(23 - s - 12 + 7) to j + q*s + r*s**2 and give r.
118
Rearrange c**4 + 7 + 106*c**2 - 160*c - 167*c + 324*c + 4*c**3 - 107*c**2 to b*c + x + h*c**4 + l*c**2 + f*c**3 and give h.
1
Express (3*t**2 - 2*t**2 + 2*t**2)*(-2 + 2 + 9*t) - t**3 - t**3 + 4*t**3 + (-2 - t + 2)*(t**2 + 3*t**2 - 6*t**2) as j*t**3 + q + f*t**2 + g*t and give j.
31
Express -1637 - 1961 + 413*u - 311 - 414*u as i + w*u and give w.
-1
Rearrange 0*v**2 - 110*v - 8*v**3 + 6*v**3 + 135*v + 4*v**2 to o*v**2 + r*v + q*v**3 + j and give o.
4
Express (9 - 58*h - 8*h - 8)*(3613*h + 100*h**2 - 3613*h) in the form k*h**2 + d*h + c*h**3 + m and give m.
0
Rearrange -4*o**2 + 61*o**3 - 1613*o + 3349*o - 1738*o to the form f*o**3 + d + w*o + m*o**2 and give w.
-2
Rearrange (-2*b - 182 - 73 - 216 + (-4*b + b + 4*b)*(1 - 1 - 1))*(-15 + 15 - 6*b) to h*b**2 + n*b + k and give h.
18
Rearrange (24*t**2 - 5 + 1 + t - 22*t**2)*(1 - 419*t - 426*t + 858*t) to the form l*t + g*t**3 + k*t**2 + z and give g.
26
Express (2 - 1 + 0)*(92193 - 276*m**2 - 92193) in the form o*m**2 + n*m + g and give o.
-276
Express 20 + 5*x**2 - 2*x**2 - 3375*x**3 + 3377*x**3 + 23 in the form l*x + w*x**3 + m + t*x**2 and give t.
3
Rearrange -2 - x + 2 + x**2 + (-x + 0*x - x)*(-2735*x + 614*x - 1836*x) to u*x**2 + i*x + q and give u.
7915
Rearrange 1 - w**3 + 4329*w + 4*w**2 - 3 - 4336*w + 6 to d*w + p + l*w**3 + t*w**2 and give p.
4
Express (144*b**2 + 258*b**2 - 25*b**2)*(-20 + 20 + 2*b) in the form y*b**3 + x*b**2 + j + g*b and give y.
754
Express 83 - 82 + 32*k - 6*k + (-3*k - 2*k + 4*k)*(3 - 3 + 5) - 6*k - 2*k + 2*k as r*k + p and give r.
15
Rearrange -2*m**3 + 29*m**2 + 3*m**3 + 15*m**2 - 2*m - 4365*m**4 + 24*m**2 - 66*m**2 - 2 to the form q*m**3 + o*m**4 + k*m + h*m**2 + i and give h.
2
Rearrange r + 2*r**3 + 392*r**2 - r**3 - 197*r**2 + 122 - 196*r**2 to the form p*r**2 + i*r**3 + y + v*r and give y.
122
Rearrange n + 684 - 76*n**4 + 682 - 174*n**4 - 1365 to q*n + b*n**4 + s*n**3 + k + j*n**2 and give k.
1
Express (0 - 2 + 3)*(1594*x**2 + 6364 - 6364) as w*x + u + h*x**2 and give h.
1594
Express (2*k + 2 - 2)*(-13 - 14 - 2)*(-k**2 - 2*k**2 + 2*k**2 + (-2*k - 2*k**2 + 2*k)*(5 - 1 - 2)) as r*k**2 + s + h*k**3 + x*k and give h.
290
Rearrange -z - 16*z**2 + 7*z - 12 - 2*z - 3*z**3 - 5*z + 4*z**2 to the form h*z + r*z**2 + j + y*z**3 and give r.
-12
Rearrange (0 - 3 - 6 - 1 + 5 + 1 + (2 - 5 + 1)*(5 - 4 - 3) + 1 + 2 - 1)*(-s**2 + 0*s**2 + 4*s**2) to a*s**2 + d*s + c and give a.
6
Rearrange 405*l**3 - 92 - 3*l + 420*l**3 - 132 - 825*l**3 - l**4 to y*l + n*l**2 + f + h*l**4 + m*l**3 and give y.
-3
Express (-9*t + 11*t + 2 - 4)*((-1 - t + 1)*(0 + 4 - 2) + (-2*t + 1 - 1)*(-1 - 6 - 6)) + 2*t**2 + 0*t + 0*t in the form k + u*t + c*t**2 and give u.
-48
Rearrange -6*o - 273*o**2 + 28508 - 3*o**4 - 28508 to the form g*o**4 + b*o + s*o**2 + t*o**3 + h and give g.
-3
Express 1347*u + 6085*u + 2935*u as p*u + b and give p.
10367
Express (-2 - 4 + 1)*(-1334*v - 94*v - 692*v) as r*v + z and give r.
10600
Rearrange -4761 + z - z + 3*z**3 + 5075 + 0*z + 4*z**2 to the form i*z**2 + d*z**3 + b*z + j and give i.
4
Express 19*o**3 + 230125*o + 45*o**3 - 230138*o + 18*o**3 in the form v*o**3 + z*o + n*o**2 + r and give v.
82
Rearrange -2*d**3 + 9*d**4 + 72922*d**2 + 73076*d**2 - 146996*d**2 to the form n + s*d**3 + j*d + t*d**2 + v*d**4 and give v.
9
Express 86*f**2 + 29894*f - 29961*f - 2 + 14*f**2 in the form r + q*f + a*f**2 and give r.
-2
Rearrange 5*w - 8 + 0*w + 34 + 0 + 13 to g + a*w and give g.
39
Express 12*s - s + 2*s + 2081*s**2 - 12*s as x*s**2 + h + m*s and give h.
0
Rearrange (0 - 4 + 1)*(2 | {
"pile_set_name": "DM Mathematics"
} |
- 3)
-8
Calculate -5 + (-10 - -8) + 0 + 6.
-1
Evaluate (-1 - -1) + -1 - -1.
0
Calculate -49 - -53 - (1 + 3).
0
Evaluate -3 - ((1 - (4 - 1)) + -3).
2
-4 - 0 - (-9 - -1) - -1
5
What is the value of 1 + 4 + -3 + (0 - 5)?
-3
Evaluate -3 + (4 - 6 - -6) - -4.
5
What is 15 + (-7 - 10) + 1 + 6?
5
What is -2 - -10 - (6 + 1 - 6)?
7
Calculate (3 - 4) + 0 + 6.
5
17 + -12 + (-2 - (-13 - -5))
11
What is the value of -2 + 6 + 1 - (-52 - -51)?
6
Calculate 13 + (-5 - (0 + 4) - -4).
8
(-1 - -1) + 11 + (16 - 20)
7
Calculate (1 - 6) + (7 - -5) + -10.
-3
-4 + -3 + 4 - (-5 - -2)
0
Evaluate (0 + 1 - (-3 - -5)) + 2.
1
Evaluate -1 + (5 + 2 + -6 - -3).
3
What is the value of 9 - (12 + -6) - 1?
2
Calculate (-2 - 0) + (-4 - -5).
-1
What is (-7 + 13 - 4) + 7 + -11?
-2
Calculate 0 - (-3 + 0 - (-2 + -3)).
-2
-3 - (-4 + 5) - -12
8
What is the value of 0 + (-5 - (-10 - -5) - -3)?
3
What is (1 - 2) + (-3 + 2 - -5)?
3
What is (3 - 2 - 0) + 3?
4
Calculate (-7 - -13) + 4 + 1 + -15.
-4
Evaluate -2 + 6 - (-40 - -41).
3
-3 + 5 + 4 + -3 - -4
7
Calculate (1 - -3) + 50 + -55.
-1
What is the value of -4 - (0 + (7 - 7))?
-4
What is 1 - 0 - (-30 - -26)?
5
Evaluate (-8 - (-1 + -19)) + -13.
-1
Calculate 17 - (-1 + 5 + 5).
8
Evaluate -5 + -1 - (-4 + -5).
3
(-6 - -7 - 3) + (2 - -1)
1
Calculate (37 - 33) + -1 + -7.
-4
Evaluate -2 - (-8 + 5) - 2.
-1
What is the value of (5 - -1) + -2 - 1?
3
What is 4 + -1 + (31 - 29)?
5
Calculate -5 - (-3 + 2 + 0).
-4
Evaluate 1 + ((-6 - -3) + 4 - -1).
3
What is the value of 2 + 1 + 0 - (6 - -1)?
-4
What is (7 - (4 - -3)) + -1 + -1?
-2
Evaluate (2 - 11) + (5 - -2).
-2
Evaluate 0 - -2 - (4 + 0 + -7).
5
What is the value of 1 - ((3 - 4) + 1)?
1
Evaluate -12 + -11 + 26 + 7.
10
-9 + -1 + 14 + -8
-4
Calculate -4 + (-1 - (6 - 7)) - 3.
-7
Evaluate -4 + (10 - ((3 - -6) + -5)).
2
What is -2 + (4 - 4) - -5?
3
Calculate 3 + 5 + -6 + -3.
-1
Evaluate 11 + -15 + (-1 - 0).
-5
What is the value of 7 - (4 - (-3 - 3 - -11))?
8
What is the value of 7 - (2 + 3 - 2) - 5?
-1
Calculate -4 + (2 - 1) + 34 + -33.
-2
Evaluate -2 + -1 + (6 - -1) - 2.
2
What is 2 + 13 + -4 + -5?
6
What is the value of -4 + (1 - 1) - -8?
4
Evaluate 1 + 3 + 1 + -7 - 3.
-5
-2 + 0 + 1 + 120 + -126
-7
Evaluate 1 + -6 + 7 - 5.
-3
Evaluate 2 + -22 - (-14 + (23 - 18)).
-11
Evaluate 5 - (1 - -6 - 8).
6
What is 6 + (-4 - (-1 - 0))?
3
Evaluate -1 + 5 + -1 + (-3 - -1).
1
What is 1 - ((6 - 1) + -2 + -4)?
2
Calculate -29 + 32 - (3 - 0).
0
What is 6 - (-12 - -11) - (2 + 9)?
-4
What is the value of 8 + -3 + (5 - (-2 + 11))?
1
Evaluate 4 + 1 + 0 + 0.
5
-4 + (-7 - -3) + 11
3
Calculate (27 - 30) + -2 + 7.
2
What is the value of 7 + 1 + 0 + -4?
4
Calculate 1 - 0 - (-9 + 8).
2
Evaluate -9 - -3 - (-1 - 0 - 1).
-4
What is 5 + -1 - (0 + 5)?
-1
-7 + 5 - (-3 + 0)
1
Calculate -5 + 5 + -4 + 1.
-3
-3 + 0 + -1 + 4
0
-10 + 19 + (8 - 10)
7
Calculate (5 + -7 - -6) + 1 + 6.
11
116 - 113 - (1 - -6)
-4
Evaluate -1 - 4 - (144 - 150).
1
Calculate -4 - ((-4 + 2 - -3) + 0).
-5
What is the value of -12 - (-6 - -1) - -14?
7
Calculate (-6 - -2) + (-1 - 1 - -1).
-5
5 + -18 + 9 + 0
-4
(-1 - 0 - (14 + -13)) + 3
1
(-5 + 19 - 7) + 3 + -7
3
Calculate 1 + 3 - (-3 + (11 - 6)).
2
What is the value of 3 + 0 - (-9 + 14)?
-2
What is (3 - 6 - 5) + (2 - 4)?
-10
Calculate 7 - (-1 - -1) - (-1 + 5).
3
6 - ((-2 - 5) + 3 - -4)
6
Calculate -3 + 0 + (53 - 45).
5
(-2 - -2) + -1 - (-1 - -3)
-3
Evaluate 38 + -35 + -2 + 1.
2
What is -2 + -1 - (10 + 14 + -24)?
-3
Evaluate -7 + (0 - -10) - (1 - -4).
-2
What is -5 + -3 - (1 + (-6 - -2))?
-5
Calculate -3 + (8 - (7 + -4)).
2
Calculate 0 + -4 + 2 + 2 - -3.
3
Evaluate (-1 - -8) + (-5 - -6) + -3.
5
Evaluate 29 + -25 - (0 - (0 - 2)).
2
1 + -2 + -3 - (-3 - -2)
-3
What is the value of (3 - -5) + (-1 - 1)?
6
Calculate (-2 - (1 - 2)) + -4 + 0.
-5
21 + (-26 - -8) + 8
11
What is the value of -1 + 1 + -1 + 2 + -2?
-1
Evaluate -1 + (-1 - -3) + -1.
0
Calculate 16 + -22 + (-1 - (-2 - 0)).
-5
Evaluate 22 - 18 - ((0 - 1) + 6).
-1
-4 + (3 + -6 - -3)
-4
What is the value of 0 - (6 + -7 + (13 - 6))?
-6
Evaluate 0 + (0 + 3 - (1 - 0)).
2
1 - 0 - (-8 + -1 + 5)
5
What is the value of (-2 + 1 - -1) + (-21 - -13)?
-8
What is the value of 0 - (-1 + -1 + -2)?
4
Calculate 0 + (7 - 3) + 1.
5
What is the value of -15 + 7 + -3 + 6?
-5
6 + -2 + 1 + -1
4
Evaluate -10 + (2 - 3) - (1 + -5).
-7
What is 20 + -26 - (-5 + (-2 - 0))?
1
Calculate (3 - 2 - -4) + -4.
1
9 - (-11 - -25) - 0
-5
Evaluate -4 - (1 + 2 - 2).
-5
What is the value of -1 + (1 + -4 - (2 + -6))?
0
What is (-1 - -2 - (-8 + 14)) + 5?
0
-1 - (0 - (5 - 3) - -3)
-2
Evaluate 4 + 0 + -25 + 29.
8
What is 36 + -42 - (-2 + -1 - 0)?
-3
Calculate 0 + (-1 - 2) + 4.
1
What is the value of -3 + (-3 - -9) + -3?
0
Calculate 1 + -8 + 104 + -102.
-5
-31 - -26 - (0 - 11)
6
Calculate (-50 - -48) + 5 + 1.
4
What is -14 - (-11 + -7 + 12)?
-8
6 - (-1 + 5) - -2
4
What is (2 - 3 - 1) + -18 + 14?
-6
Calculate -3 + -4 + 6 + -15 - -6.
-10
What is the value of -2 - (-10 - 1 - -4)?
5
-3 - (0 - -2) - -1
-4
What is -4 + 0 + 6 - (7 - 2)?
-3
9 + (-7 - -11) + -8
5
Evaluate 12 - (4 + 8) - (-1 - 1).
2
3 - 4 - (-9 + (26 - 11))
-7
What is the value of (3 - 2 - (-1 + -1)) + 2?
5
Evaluate 1 - (4 - (0 + -6) - 6).
-3
What is -6 - (-2 + 0) - (-22 + 21)?
-3
Evaluate 5 - (-5 - (-9 - -4)).
5
What is the value of (14 - 10) + -1 + 2 + -6?
-1
What is the value of 12 - ((-23 - -23) + (-3 - -11))?
4
Calculate 6 + -12 + 9 + (2 - 5).
0
Evaluate 4 + (1 - 0) + -4.
1
Evaluate -2 - ((2 - 4) + -2 - 1).
3
Evaluate 3 + (5 - 13) - 0.
-5
10 + (-9 - -11) + -10
2
What is 3 - (-10 + 24 + -7)?
-4
(5 - 3) + (0 - 1)
1
What is -2 - -6 - 3 - (2 + -1)?
0
Calculate -6 + (6 - (8 - 3)).
-5
Calculate (-8 - 1) + (-7 - -2) + 9.
-5
What is the value of 1 + (-6 - -9) - (-5 - 0)?
9
Calculate 1 + 8 + -6 + -2.
1
3 + (1 - 6) + 1 + 3
2
(1 - 0) + -10 + 8
-1
What is the value of (16 - 17 - -7) + (-1 - 3)?
2
What is -87 + 89 + (-1 - -3)?
4
Evaluate (-2 - -6) + -11 + (6 - 0).
-1
What is the value of 7 - (-3 - -9 - 2)?
3
What is 0 + 3 + -11 + 7?
-1
Evaluate (-10 + 7 - -7) + 3 + -15.
-8
What is -3 - (-10 + (2 - -2))?
3
Evaluate 14 - 5 - 11 - (1 + -3).
0
What is the value of (6 - (-11 - -4 - -20)) + 6?
-1
What is -3 - -1 - (-3 + 0 + 2)?
-1
-7 - (6 + (-5 - 14)) - -2
8
What is 3 - (13 - 9) - (-5 - -1)?
3
Calculate (-8 - -4) + 4 - -3.
3
7 + -1 - 2 - 5
-1
What is 18 - 16 - (12 + -7)?
-3
What is -11 - -2 - (-1 + 6 + -9)?
-5
Calculate 1 + -2 + (4 - 0) + 0.
3
Evaluate 6 - ((3 - 3) + 2).
4
What is the value of (8 - (3 + -2)) + (1 - 1)?
7
Evaluate 0 + (-7 - -14) + -7.
0
Evaluate 4 + (-1 + 4 - 8) - 0.
-1
Evaluate (4 - 4) + (6 - (0 + 1)).
5
What is the value of 9 + 1 - (9 - (7 + -3))?
5
What is 2 + -2 + (-9 - -4)?
-5
Calculate -1 + 2 + (16 + -7 - 13).
-3
Calculate (-8 - -2) + -8 + -2 + 7.
-9
Calculate 3 + -6 - -9 - (8 + 1).
-3
(-29 - -23) + 1 + 0
-5
Calculate 1 - 1 - (3 - (4 - 2)).
-1
-4 + -4 - (-3 + -2)
-3
Calculate (2 - 10) + (5 - -7).
4
Evaluate 3 + 4 + -1 + -4.
2
Calculate (3 - (8 - 3)) + (-10 - -6).
-6
Evaluate -4 + 3 - (-12 + 7).
4
What is 5 + 0 - (6 + -2)?
1
What is the value of (-3 - (-8 + 1)) + -8?
-4
What is the value of (-4 - (6 + -26)) + -11?
5
Evaluate (3 - 3 - 0 - -4) + -8.
-4
Evaluate 52 - 50 - (0 + 0).
2
What is the value of 0 + (-3 - -3) + (-4 - 0)?
-4
-14 - -2 - (-3 - 1)
-8
What is the value of -4 + (-8 + -3 - -10)?
-5
What is the value of -18 + 15 - (-1 - 1) - 3?
-4
0 + 14 + -8 + -5
1
What is 5 - (3 - (4 - -1) - -4)?
3
What is 3 - ((1 - 1) + (8 - 0))?
-5
What is 1 - -10 - (-21 - -32)?
0
Calculate (6 - (-4 - -5)) + (-8 - -1).
-2
What is 16 - 15 - ((0 - 1) + -2)?
4
Evaluate 3 - (-2 + 3) - 2.
0
14 - (7 - -5 - 4)
6
Calculate (0 - 9) + (-1 - -5).
-5
29 - 40 - (-7 - 1)
-3
What is 5 + (33 - 31 - (1 - 1))?
7
Calculate -2 - -3 - (10 + -10 + 1).
0
What is the value of 4 + (-11 - 1) + 9?
1
What is the value of 7 + (6 - (-3 + 16 - 3))?
3
What is (3 - 5) + 1 + (0 - 0)?
-1
2 - (-4 + (-2 - -8))
0
What is the value of (1 + 0 - -3) + -1?
3
What is the value of 5 + 3 + -1 + -3?
4
What is -2 - (1 - (7 - (1 - -3)))?
0
Evaluate 0 + 8 - (8 - 1).
1
Evaluate 10 + (6 - (4 - -6)).
6
Evaluate -6 + -2 + 6 + 0 + 7.
5
Calculate -90 - -93 - (-1 - -7).
-3
What is 5 - (2 + -10 + (2 - -1))?
10
8 + -5 - (1 - 3)
5
What is the value of 4 - (0 + 8) - -5?
1
What is the value of -11 + (8 - (-1 + -1 + 4))?
-5
Calcul | {
"pile_set_name": "DM Mathematics"
} |
09 and 165319.
209
What is the greatest common factor of 17304 and 1512?
168
Calculate the highest common factor of 98 and 238.
14
Calculate the greatest common divisor of 255 and 34.
17
What is the highest common divisor of 44 and 132?
44
What is the highest common factor of 95 and 3610?
95
Calculate the greatest common factor of 117 and 54.
9
What is the greatest common divisor of 29400 and 168?
168
Calculate the highest common factor of 1584 and 363.
33
What is the highest common divisor of 3064 and 8?
8
Calculate the greatest common divisor of 486 and 432.
54
Calculate the greatest common factor of 12 and 3.
3
What is the highest common factor of 121 and 1?
1
Calculate the greatest common factor of 44 and 396.
44
Calculate the greatest common factor of 45 and 240.
15
Calculate the highest common divisor of 16727 and 43.
43
What is the greatest common divisor of 108 and 31788?
36
What is the greatest common divisor of 553 and 7?
7
Calculate the highest common divisor of 60 and 195.
15
Calculate the greatest common divisor of 775 and 225.
25
Calculate the greatest common divisor of 96 and 240.
48
What is the greatest common divisor of 38 and 589?
19
What is the highest common factor of 52 and 4420?
52
What is the greatest common divisor of 12 and 120?
12
What is the greatest common factor of 3 and 21?
3
What is the highest common divisor of 168 and 21?
21
What is the greatest common factor of 427 and 244?
61
What is the greatest common divisor of 192 and 744?
24
What is the greatest common divisor of 9 and 1179?
9
Calculate the greatest common factor of 1136 and 112.
16
Calculate the greatest common factor of 16 and 864.
16
Calculate the greatest common factor of 174 and 54.
6
What is the greatest common divisor of 636 and 12?
12
Calculate the greatest common divisor of 3654 and 28.
14
Calculate the greatest common factor of 1773 and 144.
9
Calculate the highest common factor of 130 and 40.
10
Calculate the highest common factor of 128 and 184.
8
Calculate the greatest common divisor of 146 and 146.
146
What is the greatest common divisor of 33 and 759?
33
Calculate the greatest common factor of 963 and 45.
9
Calculate the greatest common factor of 7316 and 93.
31
Calculate the greatest common factor of 132 and 363.
33
Calculate the highest common factor of 3861 and 286.
143
What is the highest common factor of 60 and 260?
20
Calculate the greatest common factor of 8 and 672.
8
Calculate the greatest common factor of 491 and 2.
1
What is the greatest common factor of 29 and 7946?
29
Calculate the greatest common divisor of 183 and 27.
3
Calculate the highest common divisor of 14 and 4662.
14
What is the highest common factor of 18 and 34470?
18
What is the highest common factor of 10 and 60430?
10
What is the highest common factor of 375 and 1625?
125
What is the highest common factor of 13408 and 32?
32
Calculate the highest common factor of 660 and 20.
20
What is the greatest common factor of 1445 and 85?
85
Calculate the highest common factor of 25 and 160.
5
Calculate the greatest common divisor of 55 and 4345.
55
What is the greatest common factor of 1544 and 2123?
193
Calculate the greatest common factor of 216 and 13176.
216
What is the greatest common divisor of 34 and 986?
34
Calculate the greatest common divisor of 2439 and 18.
9
Calculate the greatest common factor of 135 and 30.
15
Calculate the highest common factor of 700 and 56.
28
What is the greatest common divisor of 72 and 1224?
72
What is the highest common factor of 148 and 8806?
74
Calculate the highest common factor of 1250 and 35.
5
What is the highest common divisor of 118 and 22?
2
What is the highest common factor of 13 and 2041?
13
What is the greatest common factor of 21 and 2275?
7
Calculate the highest common divisor of 679 and 11058.
97
What is the highest common divisor of 41 and 1681?
41
What is the highest common factor of 21421 and 31?
31
What is the greatest common factor of 13 and 5603?
13
What is the greatest common factor of 447 and 3?
3
What is the highest common divisor of 12570 and 30?
30
What is the greatest common divisor of 11 and 1177?
11
What is the greatest common divisor of 36 and 1548?
36
Calculate the highest common factor of 64 and 928.
32
Calculate the greatest common divisor of 26 and 117.
13
What is the greatest common factor of 1863 and 69?
69
What is the highest common divisor of 4 and 444?
4
What is the highest common divisor of 39 and 104?
13
Calculate the highest common divisor of 10 and 74.
2
Calculate the greatest common divisor of 60 and 348.
12
What is the greatest common divisor of 1673 and 21?
7
What is the highest common factor of 10 and 80?
10
Calculate the highest common divisor of 660 and 4110.
30
What is the highest common divisor of 36 and 492?
12
Calculate the highest common divisor of 100 and 6.
2
What is the highest common factor of 140 and 952?
28
What is the greatest common divisor of 91428 and 114?
114
Calculate the greatest common divisor of 13 and 637.
13
Calculate the highest common divisor of 75 and 1455.
15
Calculate the highest common factor of 129 and 8471.
43
What is the highest common factor of 528 and 48?
48
What is the highest common factor of 23471 and 49?
49
What is the highest common divisor of 858 and 22?
22
What is the highest common divisor of 608 and 1444?
76
What is the highest common divisor of 328 and 27880?
328
What is the greatest common factor of 49 and 539?
49
What is the greatest common divisor of 5363 and 31?
31
What is the greatest common factor of 1 and 25?
1
Calculate the highest common divisor of 686 and 21.
7
Calculate the greatest common divisor of 841 and 29.
29
Calculate the greatest common divisor of 19 and 171.
19
Calculate the greatest common divisor of 10 and 755.
5
What is the highest common factor of 166 and 20750?
166
Calculate the highest common factor of 567 and 7.
7
What is the greatest common divisor of 102 and 2703?
51
Calculate the highest common divisor of 28 and 68.
4
What is the greatest common divisor of 87 and 870?
87
What is the greatest common divisor of 216 and 24?
24
What is the greatest common factor of 3213 and 27?
27
What is the highest common factor of 208 and 2340?
52
What is the highest common factor of 58 and 6206?
58
What is the highest common divisor of 25 and 30?
5
What is the greatest common factor of 12 and 1452?
12
What is the greatest common divisor of 8097 and 2?
1
What is the highest common factor of 58 and 6?
2
Calculate the greatest common divisor of 49635 and 45.
45
Calculate the greatest common factor of 4250 and 175.
25
What is the highest common divisor of 1 and 1?
1
Calculate the greatest common divisor of 1185 and 395.
395
Calculate the highest common factor of 300 and 240.
60
Calculate the greatest common divisor of 888 and 120.
24
What is the greatest common factor of 136 and 170?
34
Calculate the highest common factor of 13 and 247.
13
What is the highest common factor of 20 and 70?
10
Calculate the highest common factor of 225 and 725.
25
Calculate the greatest common factor of 111 and 1332.
111
What is the greatest common factor of 406 and 56?
14
What is the greatest common factor of 34 and 2?
2
Calculate the highest common divisor of 144 and 4338.
18
What is the greatest common divisor of 80 and 6704?
16
Calculate the greatest common factor of 52 and 78.
26
What is the greatest common factor of 3984 and 64?
16
Calculate the greatest common factor of 3108 and 36.
12
What is the greatest common divisor of 18864 and 24?
24
Calculate the highest common factor of 15 and 165.
15
Calculate the highest common divisor of 1294 and 6.
2
Calculate the highest common divisor of 6534 and 33.
33
Calculate the highest common divisor of 2565 and 95.
95
Calculate the greatest common factor of 28 and 64.
4
What is the highest common factor of 10 and 55?
5
Calculate the greatest common divisor of 6272 and 98.
98
Calculate the greatest common factor of 24 and 10.
2
What is the highest common divisor of 17 and 5?
1
What is the greatest common factor of 84 and 1218?
42
Calculate the highest common divisor of 300 and 45.
15
What is the greatest common factor of 48 and 544?
16
What is the greatest common divisor of 99 and 2409?
33
Calculate the gre | {
"pile_set_name": "DM Mathematics"
} |
).
-28298*l + 9257
Let q(z) = -1769*z**2. Let k(h) be the third derivative of -h**5/60 - 567*h**2. Give q(k(u)).
-1769*u**4
Let u(s) = 71*s**2. Let n(i) = 5*i - 7. Let c(p) = -9*p + 13. Let k(g) = -4*c(g) - 7*n(g). Let w(a) = -1. Let q(l) = -k(l) + 3*w(l). Determine u(q(f)).
71*f**2
Let z(i) = -116927*i. Let v(w) = -w**2 + 680*w. Calculate z(v(l)).
116927*l**2 - 79510360*l
Let l(p) = -45*p. Let m(z) be the third derivative of -1/15*z**5 + 0*z**4 + 0 + 0*z**3 - 35*z + 2*z**2. Give l(m(s)).
180*s**2
Let h(d) be the first derivative of -62 - 73 + 27*d + d**2 + 31. Let k(a) = -4*a. Calculate h(k(y)).
-8*y + 27
Let v(y) = 8*y - 8*y - 142301*y**2 + 142312*y**2. Let r(a) = -22*a + 10*a - 8*a. What is v(r(z))?
4400*z**2
Let n(k) = 11*k**2 - 10. Let c(v) = 220*v**2 - 198. Let t(s) = 5*c(s) - 99*n(s). Let y(g) = 332*g. Determine t(y(j)).
1212464*j**2
Let u(o) = 267481*o**2 + 3*o. Let k(z) = -178*z**2. What is u(k(l))?
8474868004*l**4 - 534*l**2
Let h(g) be the second derivative of -5*g**3/3 - 1325*g. Let k(u) = -4*u**2 - 7. Let d(v) = -v**2 - 2. Let i(y) = 7*d(y) - 2*k(y). What is i(h(o))?
100*o**2
Let k(d) = 12*d**2 - 4*d - 2066. Let c(x) = -60*x. What is c(k(r))?
-720*r**2 + 240*r + 123960
Let m(a) = -14*a. Let b(i) = -i + 491 + 489 + 486 - 1957 + 487. Calculate m(b(c)).
14*c + 56
Let x(i) = 40*i**2. Let n(g) = -43602*g + 3380. Let h(w) = -26*w + 2. Let j(l) = 1690*h(l) - n(l). What is j(x(b))?
-13520*b**2
Let q(v) be the first derivative of 0*v + 4*v**3 - 1/2*v**2 - 56. Let r(w) = 3*w**2. Calculate r(q(d)).
432*d**4 - 72*d**3 + 3*d**2
Let m(p) = 19*p - 3. Let a(k) be the first derivative of 13*k**2/2 - 429. Give m(a(w)).
247*w - 3
Let b(c) = -7*c + 224 - 569 + 345. Let f(v) = 18*v**2. Give f(b(r)).
882*r**2
Let x(d) = -24*d. Let b(p) = -6*p + 2. Suppose 0 = t + 3, -2*h - 3*t = 1 - 0. Let m(c) = 2*c - 1. Let w(f) = h*m(f) + 2*b(f). Give x(w(k)).
96*k
Let y(h) be the third derivative of h**5/30 + 151*h**2 + 1. Let x(z) = 4*z**2 + 36*z. Give x(y(c)).
16*c**4 + 72*c**2
Let y(a) = -1028*a + 1. Let k(s) = s - 31. Let f(t) = 2*t - 31. Let o(n) = 2*f(n) - 2*k(n). Calculate y(o(w)).
-2056*w + 1
Let h(n) = -1099 + 0*n**2 + 2*n**2 - 1105 + 2195. Let j(d) = -7*d**2. What is h(j(z))?
98*z**4 - 9
Let k(p) = 234261*p**2. Let t(i) = i**2 + 1517. Calculate t(k(c)).
54878216121*c**4 + 1517
Let z(v) = 2593*v. Let q(x) = -x - 58. Let h(j) = -30*j - 1450. Let i(d) = h(d) - 25*q(d). Calculate i(z(r)).
-12965*r
Let d(w) = 65 - 486*w + 884*w - 439*w. Let p(u) = 2*u. Calculate p(d(i)).
-82*i + 130
Let z(y) = -14*y. Let q = 37 - 38. Let s be 0 + 14*q/(-2). Let w(g) = -g + s - 7 - 2*g. What is z(w(u))?
42*u
Let s(l) = -73995*l**2. Let o(b) = 29*b + 1. Calculate o(s(y)).
-2145855*y**2 + 1
Let z(k) = 190*k**2 + 19*k + 19. Let c(x) = 71*x**2 + 7*x + 7. Let j(a) = -19*c(a) + 7*z(a). Let r(p) = p**2 - 12. Determine r(j(b)).
361*b**4 - 12
Let m(x) = -17629*x**2. Let r(n) = -300*n. Calculate r(m(j)).
5288700*j**2
Let o(t) = 40 - 40 - 7*t. Let v(n) = -21*n - 24. Let x(i) = 2*i + 12. Let c(h) = v(h) + 2*x(h). Calculate o(c(g)).
119*g
Let a(m) = m**2 + 7. Let r(u) = -2912527*u. Determine r(a(h)).
-2912527*h**2 - 20387689
Let o(t) = -53*t**2 - 5. Let c(m) = 54*m**2 + 6. Let y(n) = -5*c(n) - 4*o(n). Let w(d) = -d**2. Give y(w(x)).
-58*x**4 - 10
Let x(r) = 3 - 294874*r - 1 + 295150*r. Let t(j) = -3*j**2. Give t(x(p)).
-228528*p**2 - 3312*p - 12
Let k(w) = 2*w**2 - 395*w. Let u(y) = -564*y + 295*y + 271*y. Determine k(u(q)).
8*q**2 - 790*q
Let o(v) = 620*v. Let y(w) = 6*w**2 - 5*w - 5. Let p(h) = -5*h**2 + 4*h + 4. Suppose 18*a = -90 + 162. Let g(c) = a*y(c) + 5*p(c). Determine g(o(l)).
-384400*l**2
Let d(z) = -2*z**2 + 256*z - 1. Let i(t) = 2*t - 2132. What is d(i(v))?
-8*v**2 + 17568*v - 9636641
Let j(f) = -130*f**2 - 656*f + 1. Let o(n) = n**2. Determine j(o(v)).
-130*v**4 - 656*v**2 + 1
Let h(r) be the first derivative of r**2 - 3. Let y(x) = 160*x**2 - 173 + 69 - 162*x**2. Determine h(y(d)).
-4*d**2 - 208
Let z(t) = t**2 + 152169 - 152169. Let j(q) = 84*q. Determine z(j(b)).
7056*b**2
Let j(n) be the first derivative of -n**3/3 - n**2/2 + n + 66. Let v(k) = -48*k**2 - 36*k + 36. Let r(h) = -180*j(h) + 5*v(h). Let q(x) = -x. Determine q(r(s)).
60*s**2
Let q(p) = 38941576*p**2. Let z(o) = 2*o**2. Determine q(z(c)).
155766304*c**4
Let z(m) = 3*m**2. Let u = 290 + 128. Let k be u/88 - (-1)/4. Let n(h) = 6*h - 16*h + k*h + 3*h. Calculate z(n(s)).
12*s**2
Let d(l) be the third derivative of l**5/15 + 10012*l**2 - 4. Let o(h) = 18*h**2 - h + h. What is o(d(x))?
288*x**4
Let j(t) = t - 1. Let b(o) = -4*o - 4. Let i(u) = 2*b(u) - 8*j(u). Let s(n) = -1075*n**2 + 359*n**2 + 353*n**2 + 359*n**2. What is s(i(f))?
-1024*f**2
Let x(c) = 2*c**2 + 27. Let o(b) = -618579*b. Determine x(o(a)).
765279958482*a**2 + 27
Let g(f) = -27*f. Let t(l) = -3*l + 22. Let o(z) = -355*z + 66. Let w(d) = -o(d) + 3*t(d). Calculate g(w(s)).
-9342*s
Let z(n) = 5*n**2. Let a(x) = 207*x - 33. Suppose -907*i - 24 = -901*i. Let q(b) = -6*b + 1. Let s(o) = i*a(o) - 132*q(o). Calculate s(z(d)).
-180*d**2
Let k(r) = 54*r. Let v(j) = -1029878*j**2. Calculate k(v(s)).
-55613412*s**2
Let f(r) = -221248*r. Let g(t) = t - 195. Determine g(f(p)).
-221248*p - 195
Let d(x) = -5*x**2. Let g(c) = 1170*c**2 - 7*c - 7. Let a(y) = 2351*y**2 - 15*y - 15. Let b(m) = -7*a(m) + 15*g(m). Give d(b(z)).
-5973245*z**4
Let n be -3 - (-17 - (5 + 0)). Let k(r) = -7*r + 7*r - n*r**2 + 82*r**2. Let f(g) = -3*g**2. Give f(k(l)).
-11907*l**4
Let z be (5/((-5)/(-3)))/(1/1). Suppose 24 = 3*s + 5*a, -4*s - z*a + 9 = -4*a. Let n(t) = 0*t - 4*t - 6*t - s*t. Let l(o) = 5*o. What is n(l(w))?
-65*w
Let g(j) = 103891*j**2. Let h(u) = -20*u. What is g(h(m))?
41556400*m**2
Let k(c) = -c - 8. Let g(x) = 977*x - 575*x - 469*x. Give g(k(r)).
67*r + 536
Let j(c) = 60*c**2 - 2*c. Let k(d) be the second derivative of -d**4/12 + 2*d**2 + 7906*d. Give j(k(x)).
60*x**4 - 478*x**2 + 952
Let c(f) = 1117657*f. Let q(t) = -7*t. Calculate q(c(s)).
-7823599*s
Let b(y) = y. Let n(q) = -81*q + 274*q + 106*q - q**2 + 56*q. Determine b(n(c)).
-c**2 + 355*c
Let o = 184 - 186. Let r(t) = -36*t**2 + 45*t - 84. Let a(g) = -5*g**2 + 6*g - 12. Let k(n) = o*r(n) + 15*a(n). Let f(h) = -2*h**2. Determine k(f(v)).
-12*v**4 - 12
Let d(u) = 7*u**2 + 5*u - 5. Let x(z) = 10*z**2 + 7*z - 7. Let l(k) = 7*d(k) - 5*x(k). Let c(n) = 1027*n**2. Calculate c(l(m)).
1027*m**4
Let u(m) = 7*m - 14*m + 5*m + 10*m. Let x(q) = q + 30. Let j(f) = 3*f + 25. Let s(o) = 6*j(o) - 5*x(o). What is s(u(a))?
104*a
Let f(m) = -12*m**2. Let s(q) = -108701184*q. Determine s(f(a)).
1304414208*a**2
Let c(m) = 6. Let q(n) = 14*n**2 - 30. Let k(a) = 30*c(a) + 6*q(a). Let o(u) = 4*u**2. Give o(k(d)).
28224*d**4
Let m(r) = 1652*r**2. Let y(z) = -150*z**2 + 459. What is y(m(o))?
-409365600*o**4 + 459
Let o(q) = 104*q**2 + 2553024*q - 2553024*q. Let l(s) = s**2 + 6*s + 2. Let w be l(-6). Let k(f) = -f**2 + f**2 + w*f**2. Calculate o(k(x)).
416*x**4
Let m(l) = 12*l + 3*l + 18*l - 45*l. Let d(b) = 73*b. What is m(d(g))?
-876*g
Let m(j) = -2*j + 14*j**2 + 2*j. Let s(x) be the third derivative of -x**7/5040 + 31*x**5/5 + 165*x**2. Let h(n) be the third derivative of s(n). Give m(h(q)).
14*q**2
Let v(z) = 21314*z**2. Let q(g) be the second derivative of -g**4/12 - 2*g + 823. What is q(v(u))?
-454286596*u**4
Let p(s) be the third derivative of -2*s**5/5 + 815*s**2. Let q(z) = -z**2 - 28. Give q(p(w)).
-576*w**4 - 28
Let y(k) = -91*k + 17. Let b(q) = q. Give y(b(o)).
-91*o + 17
Let k(l) = 121*l**3 + 2*l**2 - 2*l - 1. Let j be k(1). Let g(s) = -62*s + j*s - 62*s - 5 - 2. Let f(i) = -2*i**2. Determine g(f(u)).
8*u**2 - 7
Let d(v) = 36947092*v**2. Let g(j) = -j**2. Determine d(g(l)).
36947092*l**4
Let s(i) = -28*i**2 - 7. Let a(x) = 117*x**2 + 30. Let g(h) = 5*a(h) + 21*s(h). Let f(q) = 28*q**2. Give g(f(r)).
-2352*r**4 + 3
Let m(u) be the second derivative of -u**4/2 - 40*u - 5. Let n(d) = -60*d**2 - 1. Determine n(m(y)).
-2160*y**4 - 1
Let z(k) be the second derivative of k**4/6 + 1330*k. Let p(b) = 58*b**2 - 16. Give p(z(l)).
232*l**4 - 16
Let v(d) be the second derivative of 97*d**4/12 + 2872*d. Let u(o) = 33*o**2. Determine u(v(y)).
310497*y**4
Let h(o) = 4795510*o**2. Let w(f) = 22*f. What is h(w(u))?
2321026840*u**2
Let x(p) = 120 | {
"pile_set_name": "DM Mathematics"
} |
+ l(o). What is v(j(g))?
3*g
Let z(a) be the third derivative of -a**5/30 - 11*a**2. Let l(h) = 2*h. What is z(l(s))?
-8*s**2
Suppose -5*a + a = -28. Let z = 10 - a. Let r(o) = 2*o**2 - z*o**2 + 0*o**2. Let m(i) = -3*i. Determine r(m(w)).
-9*w**2
Let s(g) = -4*g. Let t(i) = -6*i + 4. Let d(n) = 5*n - 3. Let h(k) = -4*d(k) - 3*t(k). Give s(h(a)).
8*a
Let z(w) = -1729*w. Let o(p) = -2*p**2. Give z(o(u)).
3458*u**2
Let t(r) = 2*r**2. Let o(a) be the third derivative of -a**8/2880 - a**5/30 - 4*a**2. Let h(x) be the third derivative of o(x). What is h(t(b))?
-28*b**4
Let g(v) = -4*v. Let u(d) = d**3 - d**2 - d - 2. Let h be u(2). Let l(z) = h*z - z - 2*z**2 + z. Give g(l(p)).
8*p**2
Let k(i) = 26*i**2. Let u(n) = 8*n. Let a(x) = 3*x. Let y(m) = -11*a(m) + 4*u(m). What is y(k(g))?
-26*g**2
Let u(l) be the second derivative of -l**3/2 + l. Suppose 3*q - 3*d = 12, 5*d + 6 = -3*q + 2. Let i(x) = 3 - 2*x**q - 3. Determine u(i(r)).
6*r**2
Let d(y) = -2*y. Let h(f) = -2*f - 6. Let c be h(-4). Let p(b) = -2*b**3 + b**2 + b. Let n be p(-1). Let v(m) = 0*m**c - 4*m**2 + 2*m**n. Calculate d(v(s)).
4*s**2
Let n(q) = 1 - 20*q - 1 + 0. Let y(v) = 2*v**2. Give y(n(a)).
800*a**2
Let d(r) = r**2. Suppose 42 + 43 = -g. Let y(m) = 225*m + 85. Let o(l) = -16*l - 6. Let i(x) = g*o(x) - 6*y(x). Give d(i(u)).
100*u**2
Let x be -15*(3 + -2 - 4). Let a(n) = -3 - x*n + 3 + 48*n. Let g(i) = 2*i**2. Determine g(a(s)).
18*s**2
Let x(q) = q**2. Let n(s) = -2*s**2 + 4901. Give n(x(l)).
-2*l**4 + 4901
Let q(b) = b. Let m(d) = -7*d**2 + 3*d. Let v(z) = 15*z**2 - 5*z. Let f(t) = -5*m(t) - 3*v(t). Give f(q(u)).
-10*u**2
Let n(w) = -10*w - 1. Let o(k) = 89*k**2. Give o(n(c)).
8900*c**2 + 1780*c + 89
Let c(p) = 8*p. Let i(u) be the third derivative of u**4/12 + 4*u**2. What is c(i(o))?
16*o
Suppose 3*o - 10 = -0*o - 2*r, 4*o = r + 6. Let h(z) = -2*z + z + o*z + z. Let n(b) = -4*b**2. Give n(h(a)).
-16*a**2
Let j(n) = -37*n**2 + n. Let f(l) = 2*l**2. Determine j(f(a)).
-148*a**4 + 2*a**2
Let d(z) = -5*z**2. Let u(c) = 444*c**2. Determine d(u(y)).
-985680*y**4
Let w(o) = 2*o. Let l = 84 + -84. Let g(r) be the first derivative of 2 + l*r + 0*r**2 + 4/3*r**3. What is w(g(a))?
8*a**2
Let t(l) = 2*l**2. Let k(w) = -w - 1. Let f(c) = 20*c + 16. Let m(z) = -f(z) - 16*k(z). What is m(t(a))?
-8*a**2
Let b(g) = g. Let f(l) = 1474*l**2. Calculate f(b(d)).
1474*d**2
Let x(f) be the third derivative of -f**4/24 + f**3/6 - f**2. Let c(j) = 0 + j**2 + j - 9 + 8. Let y(h) = c(h) + x(h). Let k(t) = -2*t**2. Give y(k(z)).
4*z**4
Let j(u) = -5*u**2 + 34. Let x(s) = 7*s. What is x(j(d))?
-35*d**2 + 238
Let l(k) be the second derivative of -k**3 + 51*k. Let j(v) be the first derivative of 0*v**2 + 0*v + 1/3*v**3 - 1. Give j(l(x)).
36*x**2
Let o(b) = b. Let w(v) = 11276*v. Determine o(w(x)).
11276*x
Let m(b) = 2*b. Let s(j) = 70*j. Calculate s(m(r)).
140*r
Let n(s) = -26*s. Let z(y) = -6*y. Let f(m) = 2*n(m) - 9*z(m). Let g(r) be the first derivative of -2 + 0 + 0 + r**2. Determine f(g(h)).
4*h
Suppose 3*f + 5*a = 21, 2*f - 2 = 3*a - 7. Let n(k) = -k**2 - k**f + 0*k**2. Let s(p) = -p**2. What is n(s(c))?
-2*c**4
Let m(j) = 13*j - 15 + 15. Let d(l) = l**2. Give m(d(i)).
13*i**2
Let c(y) = y. Suppose -3*l - 2*u + 3 + 1 = 0, 5 = 5*l + 5*u. Let b(d) = -d**2 + 0*d**l + 0*d**2 - d**2. Give b(c(p)).
-2*p**2
Let a(x) = -10*x. Let u(y) = -23*y. Determine u(a(s)).
230*s
Let p(v) = -182*v**2 - 2. Let w(c) = -5*c. What is w(p(u))?
910*u**2 + 10
Let i(w) be the first derivative of -2/3*w**3 + 1 + 0*w + 0*w**2. Let o(r) = -r**2 + 3*r**2 - r**2 + 0*r**2. Give i(o(g)).
-2*g**4
Let l(f) = -4*f**2. Let x(o) = 3*o. Determine l(x(g)).
-36*g**2
Let a(x) be the first derivative of 0*x**2 + 0*x + 1/3*x**3 - 1. Let w(h) = -3*h. Give w(a(z)).
-3*z**2
Let n(b) = -2*b + 6. Let u(v) = -2*v + 5. Let c(p) = -5*n(p) + 6*u(p). Let w(q) be the first derivative of -5/3*q**3 - 2 + 0*q + 0*q**2. Give w(c(d)).
-20*d**2
Let f(c) = -2*c**2. Let r(n) = n**2 - 970*n - 2. Give r(f(v)).
4*v**4 + 1940*v**2 - 2
Let d(z) = -z**2 + 3*z**2 - 8*z**2 + 8*z**2. Let g(c) = -42*c. Determine d(g(x)).
3528*x**2
Let m(p) = p. Let r(a) be the first derivative of 0*a**2 + 0*a + 4/3*a**3 + 10. Give m(r(g)).
4*g**2
Let s be (3 - 0)/(4 - 3). Let m(c) = -s*c - 4*c + 6*c. Let r(x) = 4*x + 0*x + x - 3*x. What is m(r(k))?
-2*k
Let d(q) = -12*q**2 + 8. Let m(r) = 4*r**2 - 3. Let k(n) = 3*d(n) + 8*m(n). Let c(x) be the third derivative of -x**5/20 + 16*x**2 + 4*x. What is k(c(g))?
-36*g**4
Let k be 2 - ((-15)/(-5) + -1). Let p(y) be the third derivative of 0*y**3 - y**2 + k + 0*y - 1/8*y**4. Let l(r) = -r. Calculate l(p(s)).
3*s
Let r(f) = -113*f + 2. Let y(k) = -16*k. Give r(y(j)).
1808*j + 2
Let f(u) = 2*u**2. Let k(m) be the third derivative of -5*m**4/24 - 9*m**2. Calculate f(k(l)).
50*l**2
Let t(l) = l**2 + 0*l**2 - 3*l**2. Let y(s) be the second derivative of s**4/6 - s. Calculate y(t(h)).
8*h**4
Let v(h) be the first derivative of 4*h**3/3 - 7. Let t(k) be the second derivative of 0*k**2 + 0 + k - 1/12*k**4 + 0*k**3. Give v(t(x)).
4*x**4
Let b(g) be the third derivative of g**5/60 - 11*g**4/24 + g**3/3 + 3*g**2. Let d be b(11). Let x(v) = v + 2*v**d - v - v**2. Let h(j) = -4*j**2. Give x(h(q)).
16*q**4
Let t(k) = -k. Let c(o) = 6*o + 5. Let n(l) = -3*l - 2. Let b(f) = -3*c(f) - 7*n(f). Let u(j) = 0 + 2 - 3. Let x(w) = b(w) - u(w). Determine t(x(r)).
-3*r
Let n(y) = -33*y. Let t(s) = -s**2. What is t(n(b))?
-1089*b**2
Let n(q) = -q. Let w be 1 + 3*(-3)/(-9). Let g(u) = 15 + u**w - 15. What is g(n(o))?
o**2
Let j be -5*(-1)/12 - (-3)/(-12). Let n(w) be the second derivative of 0*w**2 - 4*w + j*w**4 + 0*w**3 + 0. Let q(m) = -2*m**2. Give q(n(k)).
-8*k**4
Let s(i) be the first derivative of i**3/3 + 79. Let f(o) be the first derivative of 0*o**2 - 1/3*o**3 + 1 + 0*o. Calculate s(f(n)).
n**4
Let x(o) = -2*o**2. Let v(c) = 4449*c. Calculate v(x(b)).
-8898*b**2
Let m(s) = 9*s. Let l(q) = -135*q**2 + 1. Determine l(m(i)).
-10935*i**2 + 1
Let x(w) be the second derivative of 0*w**2 - 1/6*w**3 + w + 0. Let q(z) = 5*z**2. Determine x(q(j)).
-5*j**2
Let n(k) = 23*k. Let d(c) = 47*c**2. Determine n(d(o)).
1081*o**2
Let j(b) = -2*b**2. Let q(f) be the third derivative of -3*f**2 + 0 + 0*f + 1/24*f**4 + 0*f**3. What is j(q(i))?
-2*i**2
Let f(t) be the third derivative of -2*t**5/15 - t**2. Let y(h) = h**2. What is y(f(u))?
64*u**4
Let u(z) = -3*z**2. Let f(k) = -35*k**2 + 19*k**2 + 23*k**2. Calculate u(f(h)).
-147*h**4
Let i(a) be the second derivative of 0 - 2*a + 0*a**2 - 1/3*a**3. Let y(f) = 3*f. What is i(y(o))?
-6*o
Let w(f) = -38 - 39 + 4*f + 77. Let l(k) = -4*k**2 + k**2 + k**2. What is l(w(r))?
-32*r**2
Let b(h) = 3*h. Let u(d) be the first derivative of 3 + 0*d**2 + 0*d - 1/3*d**3. What is b(u(f))?
-3*f**2
Let f(a) = -3005*a. Let j(r) = -6*r**2. Calculate f(j(o)).
18030*o**2
Let v(y) be the third derivative of y**4/6 - 40*y**2. Let h(t) = -2*t - 3. Let r(o) = 3*o + 5. Let w(c) = 5*h(c) + 3*r(c). What is w(v(k))?
-4*k
Let s(q) = q. Let k(l) = 7*l - 18 + 18. What is s(k(p))?
7*p
Let a(z) = -2*z**2. Let u(v) = -v**2 - 75. What is u(a(h))?
-4*h**4 - 75
Let p(r) = 260*r - 261*r - 2 - 3. Let n(a) = -a - 3. Let x(o) = 5*n(o) - 3*p(o). Let f(s) = 7*s**2. Calculate f(x(i)).
28*i**2
Let l(f) = -3 + 0*f - f + 4. Let o(m) = -6*m + 5. Let n(a) = 20*l(a) - 4*o(a). Let i(v) = -3*v. Determine n(i(p)).
-12*p
Let r(l) = 2*l - 4. Let m(q) = 5*q - 11. Let z(p) = 4*m(p) - 11*r(p). Let h(t) be the first derivative of 0*t**2 + 0*t - 1 - 1/3*t**3. Calculate h(z(i)).
-4*i**2
Let p(x) = -34*x**2. Let z(i) = 2*i. Determine z(p(s)).
-68*s**2
Let v(k) = -k**2. Let y(s) be the third derivative of s**5/20 + 7*s**2. What is y(v(b))?
3*b**4
Let k(g) = 2*g**2. Suppose -r - 2 = -4. Let c(s) be the first derivative of 3 + 0*s**3 + s**3 - r. Give c(k(v)).
12*v**4
Let p(o) = 233*o - 233*o + 4*o**2. Let l(d) = -d**2. Determine p(l(u)).
4*u**4
Let m(d) = -2*d**2. Suppose -6 = -2*q - 0. Let y(r) = -3 - 2*r**2 + q. Calculate m(y(w)).
-8*w**4
Let x(h) = 9*h**2 - 5*h - 5. Let n(w) = 5*w**2 - 3*w - 3. Let v(p) = -5*n(p) + 3*x(p). Let j(k) = 2*k**2. What is v(j(o))?
8*o**4
Let i(q) be the first derivative of -2 + 0*q - 3/2*q**2. Let p(j) = -j**2. Determine p(i(u)).
-9*u**2
Let i(l) = 34*l**2. Let a(q) = -2*q** | {
"pile_set_name": "DM Mathematics"
} |
*2.
2*sqrt(5) + 41
Simplify 4*-6*(sqrt(13) - sqrt(52)).
24*sqrt(13)
Simplify ((1 + sqrt(15)/sqrt(5))**2 - (sqrt(12) + -2 + sqrt(12))**2) + 1.
-47 + 18*sqrt(3)
Simplify (sqrt(110)/(sqrt(10)*4) - sqrt(11) - (sqrt(11) + 3)*-1)**2.
3*sqrt(11)/2 + 155/16
Simplify (-2*sqrt(425) - (sqrt(17) + (1 + sqrt(68) - sqrt(68))))**2.
22*sqrt(17) + 2058
Simplify (sqrt(8)*-2 + sqrt(8))/sqrt(4)*1*6.
-6*sqrt(2)
Simplify (4 + -1 + sqrt(500) + 1 + 3)**2.
140*sqrt(5) + 549
Simplify (sqrt(405) - (sqrt(405) + (sqrt(405) + sqrt(405) + -4)*3 + sqrt(405)))**2.
-1512*sqrt(5) + 19989
Simplify (sqrt(22)/(sqrt(99) + (sqrt(99)*-3 - sqrt(99) - sqrt(99)) - sqrt(11)))**2.
2/169
Simplify sqrt(39)/((sqrt(54)/sqrt(3))/sqrt(6)) + 1.
1 + sqrt(13)
Simplify (-1 + sqrt(304) + 4 - -2*-2*sqrt(304))**2.
-72*sqrt(19) + 2745
Simplify ((sqrt(19) + sqrt(38)/sqrt(2))*-3 - sqrt(114)/(sqrt(12)/sqrt(2)))**2.
931
Simplify (((sqrt(48)/sqrt(4) - sqrt(12))*-5 - sqrt(12))/sqrt(4))**2.
3
Simplify sqrt(12)/(sqrt(18)/sqrt(3))*-2.
-2*sqrt(2)
Simplify 1 + (-2*sqrt(243))**2 + 5.
978
Simplify -3*(-4 + sqrt(13))*-6*-4.
-72*sqrt(13) + 288
Simplify sqrt(304) + 5 + 0.
5 + 4*sqrt(19)
Simplify (sqrt(2448)*-1 + sqrt(17))**2 - sqrt(136)/(sqrt(8)*1).
-sqrt(17) + 2057
Simplify 5*2*sqrt(19)*-5.
-50*sqrt(19)
Simplify (sqrt(324)/sqrt(192) - sqrt(27)) + (-2*sqrt(135) - sqrt(135))/sqrt(5).
-45*sqrt(3)/4
Simplify (sqrt(5) - (sqrt(5) + 1 + sqrt(5))*5 - (sqrt(140)/sqrt(4))/sqrt(7))**2.
100*sqrt(5) + 525
Simplify (0 + sqrt(320) + sqrt(320) + 5 + -5)**2.
1280
Simplify 3 + (sqrt(52) + 2)**2.
8*sqrt(13) + 59
Simplify 1*sqrt(16)/(-5*sqrt(128) + sqrt(8)).
-sqrt(2)/19
Simplify ((sqrt(343) + (sqrt(343) - (1 + sqrt(343))) + 2 - (sqrt(343)*2 + sqrt(343) + -2 - sqrt(343)))*-6)**2.
-1512*sqrt(7) + 12672
Simplify sqrt(133)/(3*sqrt(42)/sqrt(6)).
sqrt(19)/3
Simplify (-2*sqrt(104)*-5)/(sqrt(968)*3).
10*sqrt(13)/33
Simplify ((-2 + sqrt(931))*4)**2.
-448*sqrt(19) + 14960
Simplify 4 + sqrt(252) + (sqrt(252)*-2)**2 + -1.
6*sqrt(7) + 1011
Simplify (3 + sqrt(17))*-4 + (sqrt(51)/(sqrt(9)/sqrt(3)))**2.
-4*sqrt(17) + 5
Simplify 0 + ((sqrt(209) + sqrt(209)*1 + sqrt(209) - sqrt(209))*6 + sqrt(209))/sqrt(11).
13*sqrt(19)
Simplify sqrt(77)/(sqrt(22)/sqrt(50)).
5*sqrt(7)
Simplify ((sqrt(441)/(1*sqrt(7)))/(sqrt(567)/sqrt(7)))**2.
7/9
Simplify sqrt(567)*3 - (sqrt(7) + (1*sqrt(7) + sqrt(7) - sqrt(7))**2 + sqrt(7) + -3).
-4 + 25*sqrt(7)
Simplify (sqrt(208) - sqrt(208)*1)**2 - (-1 + sqrt(13) + 0)**2.
-14 + 2*sqrt(13)
Simplify -1*(4 + sqrt(114)/sqrt(6))**2*1.
-35 - 8*sqrt(19)
Simplify -2*-2*sqrt(833) + 1 + sqrt(1700) + 0.
1 + 38*sqrt(17)
Simplify (sqrt(190)/(sqrt(20)/sqrt(2)))**2*6.
114
Simplify sqrt(45)*2 + (sqrt(10)/sqrt(2)*2)**2 + sqrt(5).
7*sqrt(5) + 20
Simplify 5 + 1 + sqrt(833) + 3.
9 + 7*sqrt(17)
Simplify (sqrt(6)/(sqrt(8)*-3))**2.
1/12
Simplify (((sqrt(48)/sqrt(4))/sqrt(4) - 2*sqrt(12))*-1)**2.
27
Simplify ((sqrt(363)*-2 + sqrt(300) + -1)**2 + -5)*-3.
-1284 - 72*sqrt(3)
Simplify (5*sqrt(171)*2)/(sqrt(144)*-2 + sqrt(9)).
-10*sqrt(19)/7
Simplify (1 + sqrt(117) - ((2 + sqrt(52))**2 - sqrt(52) - sqrt(13))) + 5.
-50 - 2*sqrt(13)
Simplify 1 + (sqrt(272)*2 - (-2 + 1 + sqrt(17))).
2 + 7*sqrt(17)
Simplify 5*(sqrt(2) + -2)**2*-6.
-180 + 120*sqrt(2)
Simplify 5*((1 + sqrt(3))*4 + sqrt(3) - (-1 + sqrt(3) + 3))*6.
60 + 120*sqrt(3)
Simplify ((sqrt(98)*-3)/sqrt(2))/sqrt(7).
-3*sqrt(7)
Simplify ((-4*sqrt(10) - sqrt(10))/sqrt(2)*-4)**2*3.
6000
Simplify -6*sqrt(15)/(sqrt(21)/(sqrt(343) - sqrt(7))).
-36*sqrt(5)
Simplify (sqrt(5) + sqrt(50)/sqrt(10) + -2)**2 + -3.
-8*sqrt(5) + 21
Simplify ((-1*sqrt(180) - sqrt(5))**2 - (sqrt(5) + sqrt(50)/sqrt(40))) + (1*(sqrt(720) + -1))**2.
-51*sqrt(5)/2 + 966
Simplify -1*6*sqrt(39)/sqrt(3) + (sqrt(26)/((sqrt(16) - sqrt(144))/sqrt(8)))**2.
-6*sqrt(13) + 13/4
Simplify (sqrt(2) - (sqrt(16) - sqrt(144))/sqrt(8)) + (sqrt(2) - (sqrt(12)*1)/sqrt(6)).
3*sqrt(2)
Simplify (-1*sqrt(1300))**2*4 - (sqrt(1300)*1)**2*5.
-1300
Simplify -3*(sqrt(24)/sqrt(8) + sqrt(3) + 0).
-6*sqrt(3)
Simplify -2 + sqrt(14)/(sqrt(2) - (-2*sqrt(16))/sqrt(8)).
-2 + sqrt(7)/3
Simplify (-2 + sqrt(95)/((sqrt(80) - sqrt(20)) + sqrt(20) + sqrt(20)))**2.
-2*sqrt(19)/3 + 163/36
Simplify ((-2*sqrt(44)*-4)/sqrt(4))**2.
704
Simplify -4 + (sqrt(128) - (sqrt(128) - -2*sqrt(128))).
-16*sqrt(2) - 4
Simplify ((sqrt(210)/sqrt(6))/sqrt(5) + -1*sqrt(7) + 3)**2.
9
Simplify (sqrt(6) - 2*sqrt(600))/sqrt(648).
-19*sqrt(3)/18
Simplify (sqrt(12) + sqrt(96)/sqrt(8))/sqrt(6) + -4 + 4 + sqrt(2).
3*sqrt(2)
Simplify (sqrt(275) + 3 + sqrt(275))**2 + (-1 + sqrt(11)*3)**2 + -4.
54*sqrt(11) + 1205
Simplify sqrt(504)/(sqrt(32)/sqrt(4)).
3*sqrt(7)
Simplify ((-2*sqrt(99)*4)/sqrt(9))**2.
704
Simplify ((sqrt(2268) - (-2*sqrt(2268) - sqrt(2268)))*3)**2.
326592
Simplify (sqrt(176) + 3)**2*-6.
-1110 - 144*sqrt(11)
Simplify ((sqrt(55) - sqrt(165)/sqrt(3))*5)/((sqrt(5) + sqrt(80))*2).
0
Simplify 5*(sqrt(9)/sqrt(3))**2 + 3.
18
Simplify -2*(sqrt(325) + 1)*6.
-60*sqrt(13) - 12
Simplify 2 + (2 + sqrt(605))*3.
8 + 33*sqrt(5)
Simplify (-1*sqrt(95) - sqrt(95))/sqrt(5)*-1.
2*sqrt(19)
Simplify 4*sqrt(6)/(sqrt(12)/sqrt(4)).
4*sqrt(2)
Simplify (sqrt(2) - 4*sqrt(32)) + 2.
-15*sqrt(2) + 2
Simplify (6*2*sqrt(7) + (sqrt(84)/(-1*sqrt(12)) - sqrt(7)))**2 - (-6*(sqrt(112) + 1 + sqrt(112)) + sqrt(112)).
44*sqrt(7) + 706
Simplify -5 + (sqrt(637) - (sqrt(637) + sqrt(637)*-1)**2) - (sqrt(637) - ((sqrt(637)*-2)**2 + sqrt(637)))*6.
7*sqrt(13) + 15283
Simplify (sqrt(170)/sqrt(490) + sqrt(17))**2 - 3*2*sqrt(17).
-6*sqrt(17) + 1088/49
Simplify ((sqrt(121) - ((sqrt(121) - -1*sqrt(121))*2 + sqrt(121)) - sqrt(121) - sqrt(121)) + sqrt(121))/(1*sqrt(11)*4).
-5*sqrt(11)/4
Simplify 1 + sqrt(19) + 1 + sqrt(209)/(sqrt(11)*-2).
2 + sqrt(19)/2
Simplify sqrt(32) + ((-2*sqrt(2592))**2 - sqrt(2592)) + (sqrt(32) + -1)*3.
-20*sqrt(2) + 10365
Simplify ((1*sqrt(288))/sqrt(8))/(sqrt(192) + 2*sqrt(192) + sqrt(192)).
sqrt(3)/16
Simplify sqrt(143)/sqrt(396) - (sqrt(1300)*-2 + sqrt(1300))**2.
-1300 + sqrt(13)/6
Simplify -5 + (sqrt(931) + sqrt(931) + 3*(sqrt(931) + (2 + sqrt(931))**2))*5.
595*sqrt(19) + 14020
Simplify (0 + -1*sqrt(11))**2 + sqrt(22)/(sqrt(2)*1 + sqrt(2)).
sqrt(11)/2 + 11
Simplify (sqrt(90)*2)/(-2*sqrt(80)) + 0.
-3*sqrt(2)/4
Simplify -5 + sqrt(110)/(sqrt(120)/sqrt(12)) + sqrt(11) + 3.
-2 + 2*sqrt(11)
Simplify sqrt(468)*2*-1.
-12*sqrt(13)
Simplify (sqrt(1280) - ((sqrt(1280) - -2*sqrt(1280)) + sqrt(1280)))/(sqrt(90) - sqrt(90)*-1).
-4*sqrt(2)
Simplify -2 + sqrt(33)/(-3*sqrt(11)).
-2 - sqrt(3)/3
Simplify -2 + (sqrt(288) + -2)**2 + 4.
-48*sqrt(2) + 294
Simplify (sqrt(70)*-2*-2 - sqrt(70) - sqrt(70))/(sqrt(20)/(sqrt(6)/sqrt(3))).
2*sqrt(7)
Simplify 0 + -1 + (0 + sqrt(7))**2.
6
Simplify -2 + sqrt(2736) + 1 - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 2*sqrt(2736) - sqrt(2736))))*1))**2.
-1 + 12*sqrt(19)
Simplify 3*(6*(sqrt(320) + -2 + -1))**2.
-5184*sqrt(5) + 35532
Simplify (sqrt(342)*-4)/sqrt(2).
-12*sqrt(19)
Simplify 5*(2*(-1 + sqrt(425) + -3 - sqrt(425)))**2.
320
Simplify ((sqrt(105)/(sqrt(5)*1))/sqrt(3))**2 + -3.
4
Simplify (((sqrt(30)/sqrt(10) - sqrt(3))*4)**2 + 2)*6.
12
Simplify 6*(sqrt(66)/sqrt(54) + sqrt(11) + -1 + -2)**2*5.
-240*sqrt(11) + 2570/3
Simplify 3 + 1*(sqrt(20)/sqrt(4) + 4)**2.
8*sqrt(5) + 24
Simplify (-1*(sqrt(190)*2 + sqrt(190)))/(sqrt(810)*-1 - sqrt(810)).
sqrt(19)/6
Simplify (6*sqrt(12)/(sqrt(66)/sqrt(11) + sqrt(6)))**2*2.
36
Simplify -6*sqrt(52)*-2 + -1.
-1 + 24*sqrt(13)
Simplify 1*sqrt(24)/(sqrt(12)*1) - (0 + sqrt(8) + 5).
-5 - sqrt(2)
Simplify 3*(1 + sqrt(19))*-4.
-12*sqrt(19) - 12
Simplify 1*(1 + sqrt(52)).
1 + 2*sqrt(13)
Simplify -2*sqrt(22)/(sqrt(6)/sqrt(3)).
-2*sqrt(11)
Simplify 5 + (sqrt(500) + 1)**2 + 2.
20*sqrt(5) + 508
Simplify (sqrt(14)/(sqrt(72)*2))**2 + 0.
7/144
Simplify ((2*sqrt(7) + 5 - (sqrt(847)*-1)**2) + -4)*6.
-5076 + 12*sqrt(7)
Simplify -2*sqrt(432) + 4.
-24*sqrt(3) + 4
Simplify (-5 + sqrt(12) + 0 - (0 + sqrt(1200)))**2.
180*sqrt(3) + 997
Simplify -5*sqrt(720)*-2*-2*1.
-240*sqrt(5)
Simplify 3*(1 + sqrt(75)) - sqrt(75).
3 + 10*sqrt(3)
Simplify (-3*(sqrt(320) + (sqrt(320) - (sqrt(320) + 1)) + 5))**2.
576*sqrt(5) + 3024
Simplify 1*(sqrt(1872) - (-4 + (sqrt(1872) - (sqrt(1872) + 0)))).
4 + 12*sqrt(13)
Simplify -4 + sqrt(20)/sqrt(4) + 0.
-4 + sqrt(5)
Simplify ((sqrt(60)/sqrt(2))/sqrt(6)*5 | {
"pile_set_name": "DM Mathematics"
} |
and z?
15
Let l(n) = -3*n + 39. Let c be l(-8). Calculate the greatest common divisor of c and 42.
21
Let v(c) = 211*c**2 + 2*c + 1. Suppose r = m + 3 - 4, -6 = -4*m + 5*r. Let g be v(m). Suppose -g = -4*w - w. What is the greatest common divisor of w and 6?
6
Let g be (-999)/(-7) - -5*10/175. Calculate the highest common factor of g and 13.
13
Suppose -2*j + 25 = q, -2*j - 3*q + 62 = 3*j. Let h = -6 + j. Calculate the greatest common divisor of 63 and h.
7
Suppose b = -2*r + 3*r, -3*b = 3*r - 12. Let a be 56 + (-4)/b + 0. What is the highest common factor of 6 and a?
6
Let p = 3 - 2. Let a(r) = -1 + 16*r**2 - p - 2*r + 3. Let k be a(1). What is the highest common divisor of 90 and k?
15
Suppose -341 = -3*a + 2*m, 3*a - 347 = -3*m + 2*m. Let s = a + -69. What is the greatest common factor of 23 and s?
23
Let z(a) = a + 14. Let m be z(0). What is the highest common divisor of 84 and m?
14
Let a be -2 - (2 - (10 + 1)). Suppose 0 = -a*r + 3*r - 2*n + 448, r = -5*n + 130. Suppose 2*h + r = 4*h. Calculate the greatest common factor of h and 5.
5
Let j be (12/(-4) - -6) + (-548)/(-4). What is the greatest common divisor of j and 20?
20
Suppose -10 = 2*v - 3*v + 3*w, -v + 4*w + 10 = 0. What is the greatest common factor of 160 and v?
10
Suppose -t + 9 = -16. Let j = t - 17. What is the greatest common divisor of j and 72?
8
Let v be (-4)/(-16) + (-159)/(-4). Calculate the highest common divisor of 8 and v.
8
Let a(x) = -x**3 + 8*x**2 + 11*x - 9. Let s be a(9). Let c = 12 - 9. Suppose 3*m = -m - c*u + 186, -4 = -2*u. What is the highest common divisor of m and s?
9
Let v(z) be the second derivative of z**5/5 + z**4/12 - z**3/2 + z**2 + 2*z. Let t be v(3). What is the greatest common divisor of 10 and t?
10
Let j be ((-15)/6 + 2)*0. Suppose j*y - 5*y + 10 = 0. Suppose -2*s = -2*c - 44, 2*s + 2*s + 2*c = 64. What is the greatest common factor of s and y?
2
Let d be 4*1 + -1 + 1. Let m(l) = -2*l**2 + 9*l + 10. Let n be m(5). Let s = 41 - n. What is the greatest common factor of s and d?
4
Let j = 100 - 67. Calculate the highest common divisor of j and 3.
3
Suppose -3*p + 42 = 3*j, -j = 4*j - 5*p - 110. Let g = 419 + -239. Calculate the highest common divisor of g and j.
18
Let d(t) = -t + 11. Let w be d(6). Suppose 5*h + 16 = w*v - 14, -15 = 3*h. Let f be ((-24)/(-15))/(v/65). What is the highest common divisor of f and 13?
13
Suppose -7*v + 11*v = 144. Calculate the greatest common divisor of 126 and v.
18
Let u be (39/12)/(2/8). Calculate the highest common factor of u and 65.
13
Let u = 28 + 59. What is the highest common divisor of 58 and u?
29
Let r = -37 + 59. What is the highest common factor of r and 55?
11
Suppose -10 = 2*m + 3*m, 0 = -5*o - 2*m + 71. Calculate the greatest common divisor of o and 10.
5
Suppose 3*s = 4*s, -2*s = -4*q - 64. Let k = 42 + q. Calculate the highest common divisor of 13 and k.
13
Let f = 92 - 58. Suppose 4*q - f = -3*m + 26, 5*m + 38 = q. What is the highest common divisor of q and 6?
6
Suppose 2 = -d, -5*b + 4*d = -d - 15. Suppose 1 = 3*l - 5. What is the greatest common factor of b and l?
1
Let s = -25 - -250. What is the highest common divisor of 90 and s?
45
Let m be -3 + 1/((-3)/(-15)). Suppose l + 0*l - 2 = 0, 26 = m*r - 4*l. What is the greatest common factor of 187 and r?
17
Let t = 654 + -338. Let v be (-1)/(-5) + t/20. Calculate the highest common factor of v and 176.
16
Suppose 0 = -3*p + 1 + 11. What is the greatest common divisor of 44 and p?
4
Suppose -3*d - 2*d - 2*r + 394 = 0, 4*r + 12 = 0. Suppose t = -0*t. Suppose g + 3*g - d = t. What is the greatest common divisor of 140 and g?
20
Let p be -1*12/10*40/(-3). What is the greatest common divisor of p and 24?
8
Let c(m) = -7*m + 1. Let z be c(-5). Calculate the highest common divisor of 9 and z.
9
Suppose 4*u - 54 = u. Calculate the highest common divisor of 12 and u.
6
Let u be (-1122)/(-16) - 2/16. What is the highest common factor of 14 and u?
14
Suppose 3*g + 21 - 141 = 3*n, 145 = 3*g + 2*n. Let k be (-4)/12*1*6. Let u(d) = 4*d**2 + d + 1. Let t be u(k). Calculate the greatest common factor of g and t.
15
Let a be (2 + -4)/(-2) + 2. Let d = 81 + a. What is the highest common factor of 12 and d?
12
Suppose -2 + 30 = x. What is the greatest common divisor of 70 and x?
14
Let m = 3 + 0. Suppose -2*o - 18 = -m*k, k = -0*k - 2*o - 2. Suppose -15 = -k*h + 45. Calculate the highest common divisor of 15 and h.
15
Suppose 3*o - 5 - 13 = h, -18 = -3*o + 2*h. Let u = 8 + 4. Calculate the highest common divisor of u and o.
6
Let k be (9/2)/3*154. Suppose -r + 103 = 5*f, 3*f - 5*r = -f + 94. Calculate the highest common factor of f and k.
21
Let i be 2/(-9) - (-92)/9. Let q be 6/(-15) - (-94)/i. Calculate the highest common divisor of 6 and q.
3
Let v = 5 + 1. Suppose 4*t = t + v. What is the greatest common factor of t and 14?
2
Suppose -3*l - 4 = -2*l. Let k be (2/3)/(l/(-30)). Let a(q) = q - 4. Let z be a(k). What is the highest common divisor of 8 and z?
1
Let f be ((-3)/((-6)/(-2)))/(1/(-84)). What is the greatest common divisor of 7 and f?
7
Let l be (-16)/(-1 - -3) - 2. Let n be 5/l*(-24)/1. What is the greatest common divisor of 8 and n?
4
Suppose 5*w - 8 = t, 3*w + 4*t - 5*t = 4. Let a(j) = 2*j - j**3 + 0*j**3 - 2*j + 3 - j**w. Let h be a(-3). Calculate the highest common factor of h and 231.
21
Let d = 4 - 2. Suppose 0 = a - d - 1. Suppose -p - 176 = -5*z, 0 = -5*z - a*p + 38 + 154. What is the highest common factor of z and 9?
9
Suppose -g + 3 + 1 = -2*f, 4*f - g = -10. Let x = f - -11. Let d = -35 + 59. Calculate the greatest common divisor of x and d.
8
Suppose 264 = 4*q - 484. Calculate the highest common factor of q and 17.
17
Let f(l) = l**3 - 8*l**2 - 9*l - 8. Let k be f(9). Let s = k + 8. Suppose -2*g + 75 - 7 = s. What is the greatest common factor of g and 17?
17
Let x = 116 + -100. What is the greatest common factor of 40 and x?
8
Suppose -3*m + 0*m = -105. Let h be (-575)/(-45) - 4/(-18). Suppose -3*i - h = -55. Calculate the greatest common divisor of i and m.
7
Let i(t) = t**3 - 9*t**2 + 8*t. Let f be i(8). Suppose f = -5*x - 4 + 29. Calculate the greatest common factor of 45 and x.
5
Let p(b) = -2*b**2 + 26*b - 58. Let z be p(9). What is the highest common divisor of 434 and z?
14
Suppose 5*m - 6 = -1. Let z = m - -4. Calculate the highest common factor of 40 and z.
5
Suppose 42 = 5*v - 4*r, 5*r = 2*v + r - 24. Let a be ((-3)/v)/(2/(-40)). Calculate the greatest common factor of 110 and a.
10
Let q = 9 + -4. Let j = 15 - q. Calculate the greatest common divisor of j and 110.
10
Let k = 19 - 10. Suppose -k = 3*h - 6*h. Suppose 2 = -x, -4*l + 98 = -h*x - 4. Calculate the highest common factor of 12 and l.
12
Let l = 11 - 6. Suppose 3*x - 34 = 4*g, -8 = -2*x + l*g + 24. Calculate the greatest common factor of 18 and x.
6
Let u be (12/(-8))/(2/(-88)). Let j be (-12)/(-16)*(-1 - -9). Calculate the greatest common divisor of j and u.
6
Let a be 2/(-2)*(-1 + 2). Let z be (-5)/a*(-6)/(-15). Let i = 17 - z. What is the greatest common divisor of i and 6?
3
Let h be (-2)/5 - (-396)/15. Let y = h - 15. What is the greatest common divisor of y and 11?
11
Let z be 416 - (0 + -3 + 1). Let f = z + -211. Calculate the greatest common divisor of f and 23.
23
Suppose -7 = -3*q + 2. Let f = q - 0. Suppose 224 = 7*x - f*x. What is the greatest common divisor of x and 8?
8
Suppose -5*c + 5*o + 21 - 6 = 0, 0 = -c - 4*o + 13. Suppose -c*d + 3*d + 49 = 5*z, 3*d = 2*z + 26. What is the highest common factor of 48 and d?
12
Let b(a) = 5*a**2 - 2*a + 1. Let z be b(1). Let w = 15 - 13. Suppose w*q + 37 = 109. What is the highest common factor of q and z?
4
Suppose 6*b - 1 = 23. Suppose -b*g - 3 = -5*c, -2 = -2*c + 4. Calculate the greatest common factor of g and 33.
3
Let k be ((-24)/(-5))/(6/30). Let b(l) = -l**3 - 7*l**2 - 6*l + 6. Let g be b(-6). Calculate the greatest common factor of k and g.
6
Let s be (0 - 0) + (-84 - -1). Let a = 127 + s. What is the highest common divisor of a and 22?
22
Suppose -5*u = -0*u - 40. Suppose u - 146 = -3*v. Let c = v - 31. Calculate the highest common divisor of c and 15.
15
Let m(v) = -3*v - 7. Let c be m(-2). Let j be (-2)/6 + 2/6. Let x be (j + c)*-1 + 15. What is the greatest common factor of x and 32?
16
Suppose -t | {
"pile_set_name": "DM Mathematics"
} |
mallest common multiple of n and 8.
8
Suppose -416 = -4*j - 276. Calculate the smallest common multiple of 240 and j.
1680
Suppose 10 = 3*w - 0*x - x, 2*w + 5*x - 35 = 0. Let g be 0/(-6) + (-2 - 0). What is the lowest common multiple of g/(-4) - 57/(-6) and w?
10
Let q = 2799 + -11289/4. Find the common denominator of q and -7/316.
316
Let i(g) = g**3 - 5*g**2 + 3*g - 5. Suppose 27*j - 30*j = -6. Suppose 9*k - j*k - 126 = 0. What is the least common multiple of k and i(5)?
90
Suppose 3*r - h + 101 = h, -5*h = 2*r + 80. Let m = r + 45. What is the lowest common multiple of 8 and m?
40
Let c = -2 + 12. Suppose 6 = -c*u + 12*u. Calculate the lowest common multiple of u and 7.
21
Let m = 108467/20 + -5419. Let p = -198031/12 + 16491. What is the common denominator of p and m?
60
Let s = -3/75643 - -6278897/13313168. What is the common denominator of s and -31/44?
176
Let o(n) = -5*n + 4. Calculate the smallest common multiple of 23788/939 - 16/(-6) and o(-4).
168
Let i be 12/(-18)*(-111)/(-6). Let f = -337/21 - i. What is the common denominator of -43/6 and f?
42
Suppose 0 = -5*t + 2*f - 2587, 0 = -t - 2*f + 6*f - 521. Suppose w - 6 + 4 = 0, -3*w - 394 = 5*p. Calculate the common denominator of -137/18 and 4/10 - t/p.
144
Suppose 0 = -3*o + 20 + 49. Suppose 0*f = o*f - 506. Let y(x) = 2*x + 4. What is the smallest common multiple of f and y(4)?
132
Suppose 2*n + 800 = 42*n. Suppose -2*h + 40 = -0*h. What is the least common multiple of h and n?
20
Let s(l) = -l**2 + 11*l + 5. Let b be s(11). Suppose -k = -4*q + 10, -2*k - b*q + 26 = -k. Calculate the smallest common multiple of k and 7.
42
Let f be (-9)/(-15) + (-57)/(-5). Suppose -224 = -f*w + 8*w. Calculate the lowest common multiple of 12 and w.
168
Let r = 72 - 37. Let u = -31 + r. Let g(f) = f**3 - 2*f**2 + 2*f + 4. Calculate the smallest common multiple of 18 and g(u).
396
Suppose -3*q + 24 = -0*q + 5*l, 3*q - 24 = 5*l. Calculate the lowest common multiple of q and 184.
184
Suppose -13*o = 56 + 35. Let k be (-2 - -911)*-1*-5. Calculate the common denominator of 2/o + k/840 and -76/3.
24
Let m be (-4)/(-5)*-1*-5. Suppose m*y - 4 = -0. Calculate the least common multiple of (y - -1 - -1) + -1 and 6.
6
Let w(q) be the first derivative of q**2/2 + q - 6. Calculate the least common multiple of 2 and w(1).
2
Let f(i) = -6*i - 20. Suppose 2*s - 10 = -2, 3*s = -2*c. What is the lowest common multiple of f(c) and 76?
304
Let m = 2/36784371 - -960231482029/220706226. Suppose 5*v = 2*o - 5*o - 13067, -v = -o - 4345. Let b = m + o. What is the common denominator of b and -39/4?
36
Let k = -8351543/6028320 - 2/62795. Find the common denominator of k and 1/9.
288
Let n = -11/7167 + 3691313/200676. Let f = -25/28 + n. Calculate the common denominator of 3/12*(-4 + 186) and f.
2
Suppose -3*h = 5*l + 7, -h + 7 = -3*h - l. Let d = -982 - -3022/3. What is the common denominator of (30/33)/(2 + h) and d?
33
Let n = 6162 - 67735/11. What is the common denominator of n and (40/(-15) - -2)/((-16)/612)?
22
Suppose 18 = 2*j + 3*q, -4*j - 3*q = -26 + 2. Calculate the least common multiple of j and 25.
75
Let m be (-11543)/20 + (-12)/4. Let g = -729 - -1307. Let w = g + m. Calculate the common denominator of w and -41/30.
60
Let q = 37247/6 + -6188. What is the common denominator of 1/(4/(20/45)) and q?
18
Let i(c) = -c**2 - c + 29. Let j be i(-6). Find the common denominator of 0 - -3*j/(-6) and (-1)/(-2)*55*-1.
2
Let m(l) = 7080*l. Let d be m(10). Let p be 549110/d - (-2)/3. Let h = p + -14/295. Calculate the common denominator of h and 31/11.
88
Find the common denominator of 89/28 and (-6)/(-20)*(-61610)/(-366).
28
Suppose 0 = -13*r - 69 + 4255. What is the lowest common multiple of r and 18?
2898
Let r = -592 - -1140. Calculate the lowest common multiple of 4 and r.
548
Let f = 103 - 99. Suppose -3*w = 3*g - 564, 3*g + 572 = 6*g - w. What is the common denominator of g/(-32) - (3 - f) and 57/10?
80
Calculate the common denominator of (-13)/((-104)/(-40)) - 201/(-12) and -1 + (-1 - 29/(-42)).
84
Suppose 3*m - 4 = -13. Calculate the smallest common multiple of (4/(-3))/(2/(-3)) and 18 - (-15 - m)/(-6).
16
Let j(d) = -26*d + 2. Let k be j(-3). Calculate the common denominator of 1 - ((-195)/k + -2) and 39/16.
16
Let b be ((-9)/27)/((-1)/174). Let l = b + -38. Calculate the smallest common multiple of l and 12.
60
Find the common denominator of 1162/(-138) + 166/1909 and -88/21.
21
Suppose 6*v - 97 = 35. What is the lowest common multiple of (2/4)/(10/360) and v?
198
Let c(o) = o**2 - 2*o - 9. What is the least common multiple of c(-3) and 42/5 + (-2)/5?
24
Let n = -832 + 1196. Calculate the smallest common multiple of 6 and n.
1092
Let p = 59/14 - 470/119. What is the common denominator of -59/136 and p?
136
Suppose -4*h + 5 = -15, 0 = 2*a - h - 5. Suppose -a*l + 12 = -c, 3*c + 2*l - 48 = -2*c. Let f = 9 - c. What is the smallest common multiple of f and 11?
11
Suppose i - 3*x - 27 = 0, 2*i + x = -6 + 25. Let b = 6 - 34. Calculate the common denominator of 220/i*(-6)/b and -45/16.
112
Let b = -10577 - -190313/18. What is the common denominator of 23/66 and b?
198
Suppose 0 = 1104*t - 1099*t - 20. Calculate the lowest common multiple of t and 60.
60
Let o = 19 - 8. Let m be -2*(4/8 - 3). Suppose -9*s + m*s + 8 = 0. Calculate the lowest common multiple of o and s.
22
Let p = 273 - 245. Calculate the least common multiple of 6 and p.
84
Suppose -4*c + 40 = -2*c. Let j be (180/(-8 + 2))/((-6)/4). Suppose 2*s = 4*t - s - 84, -5*s - j = 0. Calculate the smallest common multiple of c and t.
180
What is the least common multiple of 126 and 1 + ((-7320)/(-10))/6?
5166
Let p = 11 + -9. Suppose p*i = i + 12. Suppose 0 = -4*v - i, q + 2*v - 35 = -0*v. Find the common denominator of -9/7 and q.
7
Suppose -27*d + 11*d + 48 = 0. Calculate the least common multiple of d and 15.
15
Suppose 9 + 321 = -6*l. Let y = 61 + l. What is the least common multiple of y and 6?
6
Let j = -148813 - -17857429/120. What is the common denominator of j and -93/20?
120
Let z be (-946)/(-77) + 4/(-14). Let j = -8 + z. Suppose 16 = 5*o - j. Calculate the smallest common multiple of 3 and o.
12
Let m = 14225/14 - 1021. Calculate the common denominator of -107*(-2)/(-12) - -1 and m.
42
Let v(p) = -p**2 + 4*p + 5. Suppose 4*s - s - 12 = 0. Let r(m) = -8*m + 275. What is the lowest common multiple of r(33) and v(s)?
55
Let n be (-5)/(2 - 4262)*3. Let j = 10933/284 + n. Calculate the common denominator of -1/16 and j.
16
Let w = -7319/112 + 991/14. Find the common denominator of (-16)/(-4) + (-76)/(-48) and w.
48
Let t(f) = 2*f - 11. Suppose 0 = -5*w - 2*o + 48, -w + 4*o + 0*o - 8 = 0. Calculate the lowest common multiple of t(w) and 7.
35
Suppose -3 + 18 = 5*j, l - 2 = -j. What is the lowest common multiple of (40/48)/(l/(-6)) and 3?
15
What is the least common multiple of (-1)/(((-1)/(-40))/((-9)/12)) and 12?
60
Let w = -1041407123273333/5296 + 196640318839. Let z = w + -1413/1324. Let f = -1000 + z. What is the common denominator of f and -85/6?
48
Let c be (4/3)/(2/3). Suppose c*w - 9 = 5. Suppose 0 = 4*t - w - 5. What is the smallest common multiple of t and 5?
15
Suppose -5*x - 4 = 2*k, 10*x - 8*x = -5*k + 32. What is the lowest common multiple of k and 14?
56
Let g = -18 - -124. What is the lowest common multiple of g and 6?
318
What is the least common multiple of 51 and -1*6/(-2)*136/51?
408
Let r be ((-7605)/(-132))/(-15) + (5 - 1). Let w = r - 97/22. What is the common denominator of w and 47/18?
36
Let a = 3 + -15. Calculate the least common multiple of ((-104)/(-6))/((-8)/a) and 5.
130
Let b = 409 + -387. Calculate the smallest common multiple of 30 and b.
330
Let i = -54/5 + -67/10. Suppose 2*s + 2*t - 278 = 3*s, 3*s - t + 854 = 0. Let k = -507/2 - s. Find the common denominator of k and i.
2
Let i be (-4)/6 - 200/(-3). Suppose -5*q - 4*m = -i, 4*m - 3 - 23 = -q. Let k(l) = -5*l + 6. What is the common denominator of -11/8 and k(q)?
8
Let m(n) = -n**2 - 63*n - 328. Calculate the smallest common multiple of 70 and m(-57).
70
Let k = -15 + 19. Suppose k*o = 47 - 15. Calculate the lowest common multiple of o and 10.
40
Suppose -16162 = -4*l + 17370. Let p = 50417/6 - l. What is the common denominator of p and 105/22?
66
Suppose -9 = 2*y + y. | {
"pile_set_name": "DM Mathematics"
} |
rivative of -34*j*k**3 + 200*j*k**2 + 48455*j + k**2 wrt k?
-102*j*k**2 + 400*j*k + 2*k
Find the third derivative of 2988444*v**3 + 6834*v**2 + 35*v.
17930664
Find the first derivative of -2*i**4 + 15*i**3 - 9*i**2 + 146*i + 1138501 wrt i.
-8*i**3 + 45*i**2 - 18*i + 146
Find the third derivative of -8*l**5 + 1399*l**4 + 591366*l**2 wrt l.
-480*l**2 + 33576*l
What is the third derivative of -987917*y**3 - 837407*y**2?
-5927502
What is the derivative of 7521*t**4 + 2*t - 17457 wrt t?
30084*t**3 + 2
Differentiate 6*g*u*x + 3*g*u + g*x + u*x + 14059*u + 127*x with respect to x.
6*g*u + g + u + 127
What is the third derivative of c**3*d**2*f**3 - 83527*c**3*d**2 - 57*c**2*d**2*f**3 - 19*c*f**3 - 5*c*f - d**2*f**3 wrt c?
6*d**2*f**3 - 501162*d**2
What is the second derivative of -866*q**3*t**3 + 2*q**3 - 14*q**2*r*t - q*r*t**2 + 23*r*t**3 - 4027*r*t wrt t?
-5196*q**3*t - 2*q*r + 138*r*t
What is the second derivative of -2*a**2*i**3 - 3*a**2*i - 58457*a**2 + 2*a*i**3 + 45715*i**3 wrt i?
-12*a**2*i + 12*a*i + 274290*i
Find the third derivative of -56545*m**5 + 2*m**4 - 6*m**3 - 617139*m**2 - 4 wrt m.
-3392700*m**2 + 48*m - 36
Differentiate 927*b*n**3 + 4*b*n**2 - 21*b*n + 3*b + 1832227*n**3 wrt b.
927*n**3 + 4*n**2 - 21*n + 3
Find the second derivative of -22998*k**2 - 12645*k wrt k.
-45996
What is the derivative of -1113973*c**2 + 298277 wrt c?
-2227946*c
Find the second derivative of -227564*w**2 - 244734*w wrt w.
-455128
Find the third derivative of -862*z**4 - 38*z**3 + 154980*z**2 wrt z.
-20688*z - 228
Differentiate -425789*v**3 - 1289200 wrt v.
-1277367*v**2
What is the third derivative of -8*l**3*v**3 + 2986*l**3*v**2 - 81*l*v**3 - 489*v**3 - 83*v**2 wrt v?
-48*l**3 - 486*l - 2934
What is the third derivative of -6*k**4*n - k**4 - 99*k**3*n - 13*k**3 - 12*k**2*n + k**2 - 3*k*n - 9*k + 6 wrt k?
-144*k*n - 24*k - 594*n - 78
Find the second derivative of 27671*n**3*o**2*u**3 - 3*n**3*o*u**2 + 2*n**3*u**3 - 967*n**2*o*u**2 - 4*n*u**3 + n wrt o.
55342*n**3*u**3
What is the first derivative of 853842*v + 4624089?
853842
What is the second derivative of -61*z**4 + 5549*z**2 - 1982570*z wrt z?
-732*z**2 + 11098
Find the third derivative of 5*d**6*g**2 + 2090*d**4*g**2 - 2*d**2*g**2 + d**2 + 2*d + 3142 wrt d.
600*d**3*g**2 + 50160*d*g**2
Find the second derivative of 260*g**2*t**2 - 6*g**2*t - 18*g**2 + 17*g*t**2*y - g + 3*t**2*y + 63*t*y - 1 wrt t.
520*g**2 + 34*g*y + 6*y
Find the first derivative of -40623*h**3 - 41*h + 4517561.
-121869*h**2 - 41
What is the second derivative of -10934*v**2 + 3*v - 22211?
-21868
Differentiate 15*b*m**2*x + 47*b*m - 107*b*x - 2*m**2*x + 111*m**2 - 614*m*x with respect to b.
15*m**2*x + 47*m - 107*x
What is the derivative of 8*p**4 + 2*p**3 - 7*p**2 - 134*p + 1569038?
32*p**3 + 6*p**2 - 14*p - 134
What is the derivative of a*i**2*v**2 - 15860*a*i**2 - 2*i**2*v**2 - 4*i**2*v - 97*i*v + 10*v**2 wrt a?
i**2*v**2 - 15860*i**2
What is the third derivative of 1657*s**4 + 17*s**3 + 126*s**2 - 702*s wrt s?
39768*s + 102
Find the second derivative of 25848*b**2 + 96435*b.
51696
Find the third derivative of 66*d*i**3*q - 2*d*i**2 - 10*d*i*q - 69*d*q - 2*d + 1220*i**3*q + 3*i**2*q + 3*q wrt i.
396*d*q + 7320*q
Find the second derivative of -2*f**3*i**3 + 10*f**3*i - 3*f**2*i + 197056*i**4 + i + 6002 wrt i.
-12*f**3*i + 2364672*i**2
What is the first derivative of 60*q**3*w - 119*q**3 + q**2*w - 108096*w wrt q?
180*q**2*w - 357*q**2 + 2*q*w
Find the first derivative of -h**2*j - 28*h**2 + 76*h*j**3 - 2*h + 36001*j**3 wrt h.
-2*h*j - 56*h + 76*j**3 - 2
What is the third derivative of 28332*u**5 + 212543*u**2 wrt u?
1699920*u**2
What is the third derivative of 2*g**6 + 221*g**5 - 225*g**4 + 103510*g**2 + g wrt g?
240*g**3 + 13260*g**2 - 5400*g
Find the first derivative of -4921*g*w**3*y - 4*g + 21*w**3 + 38*w*y - y + 1 wrt g.
-4921*w**3*y - 4
Find the third derivative of 334183*s**5 - s**4 + 90*s**2 - 12724*s.
20050980*s**2 - 24*s
What is the first derivative of m**4 + 1599*m**3 - 4*m**2 - 1193 wrt m?
4*m**3 + 4797*m**2 - 8*m
What is the third derivative of -2225*j*t**5 + 3*j*t**3 - 260*j*t - 2*t**3 - 66*t**2 wrt t?
-133500*j*t**2 + 18*j - 12
Find the second derivative of 532*d**2*l**3*w - 586*d**2*w**3 + d*l**3 - 19*d*l**2*w**2 + 8*d*l**2 + 7*d*l*w**2 + 3*w**3 + 19 wrt d.
1064*l**3*w - 1172*w**3
What is the derivative of 2*m**4 - 10*m**3 - 703*m**2 + 884227?
8*m**3 - 30*m**2 - 1406*m
Find the third derivative of -7*b**6 - b**5 - 46*b**4 - 2*b**2 - 10236 wrt b.
-840*b**3 - 60*b**2 - 1104*b
What is the third derivative of 17118*b**3 + 221635*b**2?
102708
What is the derivative of -2446213*a + 3855500?
-2446213
What is the third derivative of -162710*b**3 - 2544*b**2 + 43*b + 1?
-976260
Differentiate 8*s*z**3 + 1258*s*z + 572211*s - 2*z**4 + 2 with respect to z.
24*s*z**2 + 1258*s - 8*z**3
Find the second derivative of -782*o**3 - 5*o**2*t + 34*o*t - 2*o - 409*t - 7 wrt o.
-4692*o - 10*t
Find the second derivative of -24448*t**4 - t**2 - 25623*t wrt t.
-293376*t**2 - 2
What is the third derivative of -8513*f**6 - 85506*f**2?
-1021560*f**3
What is the first derivative of 52*o**2 + 173*o - 12975?
104*o + 173
Differentiate 2*a*q**2 + 39457*a*q + q**2 - 9245*q - 3 with respect to a.
2*q**2 + 39457*q
Find the third derivative of 63027*a**6 + 2*a**5 + a**4 + 4*a**2 - 200328*a wrt a.
7563240*a**3 + 120*a**2 + 24*a
Find the second derivative of 4*b**2*t**3 + 6089*b**2 - 15*b*t - 6*b + 127*t**3 wrt b.
8*t**3 + 12178
Differentiate 768773*r**2 - 557012.
1537546*r
Differentiate 12*i**3*o**2 + 23*i**3 - 3435*i*l - 2*l*o**2 + 12*o**4 wrt o.
24*i**3*o - 4*l*o + 48*o**3
What is the second derivative of -41*d**3*k*n - 3*d**3*k - 15*d**3 + d*n + 37*k - 1240 wrt d?
-246*d*k*n - 18*d*k - 90*d
Find the second derivative of 1705724*t**4 + 4296530*t.
20468688*t**2
What is the first derivative of -887*x**4*y**3 + 3*x**4 + y**3 + 96*y - 16 wrt x?
-3548*x**3*y**3 + 12*x**3
Find the second derivative of 41*k**4 - 2*k**3 + 2*k**2 + 13953*k wrt k.
492*k**2 - 12*k + 4
What is the third derivative of 607*k**3*v*y + 4*k**3*v - 6*k**2*v*y - 10*k**2*v - 62*k*v*y wrt k?
3642*v*y + 24*v
Find the third derivative of -28*m**5 - 78*m**4 + 2*m**3 - 3*m**2 + 2*m - 6.
-1680*m**2 - 1872*m + 12
What is the third derivative of 4*j**3*x**2 + 4125*j**3*x - j**3 - 2*j**2*x**2 + 29*j**2 - j + 6723*x + 2 wrt j?
24*x**2 + 24750*x - 6
Find the third derivative of 4*b**5 - 18690*b**4 + 2247361*b**2 wrt b.
240*b**2 - 448560*b
Differentiate 3813*l**2 - 107*l - 2445914 wrt l.
7626*l - 107
Differentiate -11*p**3 - 39*p**2 + 45*p + 478313 with respect to p.
-33*p**2 - 78*p + 45
Find the third derivative of -20*g**3*y + 245*g**3 - 67305*g**2*y - g*y wrt g.
-120*y + 1470
What is the first derivative of 409*o**2 + 16*o - 20293?
818*o + 16
What is the third derivative of -2*c**5*x + 210*c**3*x - 2*c**3 + c**2*x + 14782*c**2 + 2*x wrt c?
-120*c**2*x + 1260*x - 12
Differentiate -12*c*d*h - 3279*c*d + 381088*c*h + d wrt d.
-12*c*h - 3279*c + 1
Find the second derivative of -344861*r**5 - r**2 + 12113*r + 8 wrt r.
-6897220*r**3 - 2
What is the derivative of -8*u**3 + 81*u**2 + 4*u + 1591895?
-24*u**2 + 162*u + 4
What is the third derivative of -6*g**6*h + 1573*g**4*h**3 + 412*g**2*h**3 + g**2*h**2 + 9*g**2*h - 5*h wrt g?
-720*g**3*h + 37752*g*h**3
What is the third derivative of 578*q**3*v**3 + 38320*q**3*v**2 - 611*v**3 - 28*v**2 wrt v?
3468*q**3 - 3666
What is the first derivative of -70681*r**2 + 5*r + 3127066 wrt r?
-141362*r + 5
What is the third derivative of -460*s**6 - 8*s**5 + s**4 - 73608*s**2?
-55200*s**3 - 480*s**2 + 24*s
Find the second derivative of -222165*s*x**2 - 525*s + 668*x wrt x.
-444330*s
What is the third derivative of -11*c*d*i**3 + 7162*c*d*i**2 - c*d*i - 2*c - d*i**2 + 272*i**3 wrt i?
-66*c*d + 1632
Find the first derivative of 31*r**3 - 29*r**2 - 14345 wrt r.
93*r**2 - 58*r
Find the third derivative of -2230*g**3*v**3 - 41*g**3*v**2 - 49*v**4 - 132*v**2 wrt v.
-13380*g**3 - 1176*v
Differentiate -3374983*a - 2218612 with respect to a.
-3374983
What is the second derivative of -2705*j**3*n**2 + 4*j**3*n*o + 3*j**3*n + j**3*o - 9*j**2*n + 5*j*n*o + 2*n**2*o wrt n?
-5410*j**3 + 4*o
What is the first derivative of 488119*n*s + n + 290*s + 1885 wrt n?
488119*s + 1
Find the t | {
"pile_set_name": "DM Mathematics"
} |
+ 4*k(g)?
-4*g**2
Let u(x) = -2*x**2 - 2*x - 2. Let n(f) = -f**3 - 7*f**2 - 5*f - 7. Suppose 3*j - 256 = -5*t, 2*j = 2*t + 22 + 122. Suppose -s + 12*s = j. Give s*u(h) - 2*n(h).
2*h**3 - 4*h
Let r(v) = 29*v. Let b(x) = x**2 + x - 7488. Let t be b(86). Let i(d) = 116*d. Give t*i(n) + 22*r(n).
-58*n
Let q(f) = 65*f**2 + 10. Let t(x) be the first derivative of -22*x**3/3 - 3*x - 44. Calculate -3*q(h) - 10*t(h).
25*h**2
Let k(w) = -3*w. Let u(r) = 15*r + 50. Let m be u(-4). Let l(n) = 3*n + 27. Let t be l(m). Let i(c) = 1. Give t*i(a) + k(a).
-3*a - 3
Let u = -7 - -5. Let p = -184 + 19. Let a = p + 170. Let i(g) = 3*g**2 + 4. Let b(j) = 7*j**2 + j + 9. What is a*i(x) + u*b(x)?
x**2 - 2*x + 2
Let b(i) = i**2 - 1. Let w(h) = -h**3 + 7*h**2 - 7. Let p(c) be the first derivative of 4*c**2 + 34*c - 11. Let a be p(-6). Determine a*b(y) + 2*w(y).
-2*y**3
Suppose 3*o + 885 = 3*d, -3*o - d + 1192 = -7*o. Let s(j) = 1150*j**2 - 299. Let l(t) = 23*t**2 - 6. Determine o*l(r) + 6*s(r).
23*r**2
Let f(t) = 76*t**3 - 3*t**2 + 3*t + 3. Let p(n) = -559*n - 1756. Let l be p(-3). Let c(h) = -1975*h**3 + 79*h**2 - 79*h - 79. Calculate l*f(r) - 3*c(r).
-79*r**3
Let n(c) = 780*c - 3. Let h(b) = -b**2 + 828*b - 4. Calculate -2*h(f) + 3*n(f).
2*f**2 + 684*f - 1
Let v = 14 + -10. Suppose 0 = 36*m + 58*m - 6768. Suppose -m*r - v = -76*r. Let t(b) = b - 3. Let u(c) = 1. Give r*t(s) + 3*u(s).
s
Let n(j) = -3307 - 3316 + 6616 + 13*j. Let i(s) = -25*s + 13. Determine 6*i(c) + 11*n(c).
-7*c + 1
Let o be 9*((-2)/(-9) + 140/252). Let t = 6 + -4. Let m(g) = 22*g + 3. Let d(j) = -7*j - 1. Determine o*d(b) + t*m(b).
-5*b - 1
Let l(v) = -v**2. Let c(g) = 135*g. What is -c(u) - l(u)?
u**2 - 135*u
Let n(q) = -q**3 - 4*q. Let x(r) = -433*r**3 + 6*r + 4. Give 2*n(c) + x(c).
-435*c**3 - 2*c + 4
Let c(q) = 6*q + 1. Let o(b) = 5*b + 1. Let p(v) = -6*c(v) + 7*o(v). Let k(y) = 19 - 14*y + 23 + 14 + 21 - 71. What is k(n) - 8*p(n)?
-6*n - 2
Let t(g) = 4*g**2 - 9*g - 3. Let s be (21/63)/(8/24). Let o(w) = w**2 - w - 1. What is s*t(i) - 5*o(i)?
-i**2 - 4*i + 2
Suppose -57964 = -30*y - 58354. Let p(k) = 16*k - 18. Let m(c) = 15*c - 17. Let j(z) = 5*m(z) - 4*p(z). Let g(q) = 5*q - 6. Calculate y*g(v) + 6*j(v).
v
Let n(q) = -18*q**2 + 52*q - 15. Let m(i) = -10*i**2 + 23*i - 8. Determine -7*m(x) + 3*n(x).
16*x**2 - 5*x + 11
Let r(w) = -4*w**3 - 12*w**2 - 5*w + 5. Let h(k) = -11*k**3 - 33*k**2 - 14*k + 15. What is -3*h(d) + 8*r(d)?
d**3 + 3*d**2 + 2*d - 5
Let u(x) = -33*x**3 - 12*x**2 - 62*x + 21. Let i(o) = 28*o**3 + 11*o**2 + 63*o - 18. What is -7*i(n) - 6*u(n)?
2*n**3 - 5*n**2 - 69*n
Let r(m) = -3*m - 2. Let x(p) = -6 + 35 + 21*p - 14. Determine -15*r(i) - 2*x(i).
3*i
Let z(u) = -82*u**3 + 15*u**2 - 30*u + 14. Let o(r) = 158*r**3 - 28*r**2 + 60*r - 26. What is 7*o(t) + 13*z(t)?
40*t**3 - t**2 + 30*t
Let t(y) = 33*y - 195. Let s be t(6). Suppose -6*q + 8*q + 5 = v, 3*q = s*v - 6. Let c(z) = -2*z - 1. Let u(k) = k**2 + k - 1. Give v*u(h) + c(h).
-h**2 - 3*h
Let o(p) = -44*p - 212. Let z(f) = -29*f - 139. Determine 7*o(x) - 11*z(x).
11*x + 45
Let o(k) = -5*k - 444. Let f(r) = -9*r - 881. What is -4*f(l) + 7*o(l)?
l + 416
Let n(v) = -3*v - 1. Let w(i) = -i**2 + 3*i + 401. Let k be w(-19). Let z(s) = -8*s - 3. Suppose 2*m + 0*m + 16 = 0. Let c = m - -14. Calculate c*z(a) + k*n(a).
3*a - 1
Let p(f) = 3*f**2 - 4*f - 1. Let h(y) = -5*y**3 + 9*y**2 - 14*y + 58. Give -h(c) + 3*p(c).
5*c**3 + 2*c - 61
Suppose 7*r - 17 = 4. Suppose n = -1 - r. Let x(m) = 3*m**3 + 4*m**2 + m - 5. Let y(g) = -8*g**3 - 11*g**2 - 3*g + 14. Give n*y(o) - 11*x(o).
-o**3 + o - 1
Let j(b) = -8*b**3 + 4. Let h(u) = 8*u**3 - 7*u**2 + 28*u - 1. Let a(i) = -7*i**3 + 6*i**2 - 24*i + 1. Let d(v) = 7*a(v) + 6*h(v). What is 8*d(z) - 2*j(z)?
8*z**3
Let n(j) = 34398*j - 189. Let w(k) = 2752*k - 15. Give -5*n(p) + 63*w(p).
1386*p
Let h(i) = 3*i**3 - 36*i**2 - 5*i + 18. Let n(p) = p**3 - 21*p**2 - 2*p + 9. Determine -2*h(b) + 5*n(b).
-b**3 - 33*b**2 + 9
Let n(x) be the third derivative of -7*x**4/24 - x**3/2 + 97*x**2 - 5*x. Let h be (-1)/((-1)/(-2)) - (2 + 29). Let f(m) = -57*m - 24. Determine h*n(l) + 4*f(l).
3*l + 3
Let s(x) = 5*x**3 + x - 1. Let o(d) = 21*d**3 - 4*d**2 + 41*d - 5. Determine o(p) - 5*s(p).
-4*p**3 - 4*p**2 + 36*p
Let a(y) = 25*y - 1. Let g(i) = 2241*i + 5. Calculate -5*a(w) - g(w).
-2366*w
Let m(b) = -9*b + 31. Let h(v) = -14*v + 47. Suppose 0 = -5*i - 4*s - 48, 2*i + 12 = 167*s - 165*s. What is i*m(r) + 5*h(r)?
2*r - 13
Let c = -49 + 50. Suppose -2 = 2*p + 2*q, -4*q - q - 17 = p. Let f(l) = -p*l + 6*l - c + l**3 + 4. Let w(r) = -2*r**3 - 5*r - 5. What is 5*f(y) + 3*w(y)?
-y**3
Let x(g) = 3*g**2 + 5*g + 4. Let u(i) = 5*i - 228. Let m be u(51). Suppose -14*k - m = 29. Let b(f) = 7*f**2 + 11*f + 9. Give k*b(n) + 9*x(n).
-n**2 + n
Let h(v) = 16*v**2 + v - 25. Let j(y) = -2*y**2 - 5. Calculate 3*h(b) - 15*j(b).
78*b**2 + 3*b
Let o(c) = 61*c**3 - 6*c**2 + 2*c + 1. Let b(s) = 122*s**3 - 13*s**2 + 4*s. Let p(h) = 6*b(h) - 13*o(h). Let i(k) = -30*k**3 - k - 6. What is -13*i(v) + 6*p(v)?
24*v**3 + v
Let a(o) = 6*o**3 + 5*o**2 - 16*o. Let k be 60/(-8)*(-54)/81. Let p(c) = -9*c**3 - 8*c**2 + 24*c. Give k*p(j) + 8*a(j).
3*j**3 - 8*j
Let z = -9 + 16. Suppose -3*a + z = 16. Suppose -252*o - 217*o + 434*o = 35. Let l(i) = i - 1. Let x(h) = -4*h + 4. Calculate a*l(y) + o*x(y).
y - 1
Let q(s) = -4*s**2 + 2*s**2 - 5*s**2 - 8*s**2. Let l(i) be the second derivative of 1/12*i**4 + 0*i**2 + 0 + 0*i**3 - 18*i. Determine -33*l(m) - 2*q(m).
-3*m**2
Let b(w) = -118*w**2 - w - 74. Let a(d) = -299*d**2 - d - 149. Determine -2*a(h) + 5*b(h).
8*h**2 - 3*h - 72
Let p(s) = -s - 3. Let l(q) = -3*q - 9. Let m(x) = 8*x**2 - 5*x - 42. Let z be m(-5). Suppose -z = 3*f - 192. Determine f*l(o) - 8*p(o).
-o - 3
Let s(a) = 51179323*a + 15002. Let j(g) = 37527*g + 11. Calculate 15002*j(b) - 11*s(b).
7501*b
Let n(l) = -7*l**3 - 7*l**2. Let a(r) be the second derivative of -r**5/20 - r**4/12 + 1064*r. Calculate 6*a(b) - n(b).
b**3 + b**2
Suppose -49*v + 314 - 20 = 0. Let j(y) = 6*y**3 - 3*y + 3. Let p(n) = -54*n**3 + 26*n - 26. What is v*p(u) + 52*j(u)?
-12*u**3
Let w(b) = -4*b**2 + 2*b - 3. Let u(i) = 11*i**2 - 5*i + 8. Let k = 5706 + -5698. Calculate k*w(s) + 3*u(s).
s**2 + s
Let w(c) = c + 17. Let m(v) = 67*v + 16. Calculate -4*m(q) + 4*w(q).
-264*q + 4
Let z(y) = 191*y**2 + y. Let n(p) = -4*p**2 - 2*p + 1. Give 2*n(r) + 2*z(r).
374*r**2 - 2*r + 2
Let b(q) = q**3 + 7*q**2 - q. Let l = -13848 - -13850. Let x(n) = -3*n**3 - 15*n**2 + 2*n. What is l*x(p) + 5*b(p)?
-p**3 + 5*p**2 - p
Let g = -36 - -45. Let z(y) = 43*y**2 - 9*y + 13. Let f(t) = -21*t**2 + 4*t - 6. Calculate g*f(x) + 4*z(x).
-17*x**2 - 2
Let l(t) = -373*t + 22. Let x(r) = -383*r + 19. Give -5*l(c) + 6*x(c).
-433*c + 4
Let a(x) = 9*x. Let d(j) = -j - 2. Let p(c) = 1. Let h(n) = -d(n) - 2*p(n). Suppose -94 = 65*s - 29. Calculate s*a(u) + 6*h(u).
-3*u
Let t(o) = -68*o**3 - 28*o**2 - 23*o - 14. Let c(g) = g**3 - 4*g**2 + g - 2. Determine 7*c(r) - t(r).
75*r**3 + 30*r
Let k = 0 - -4. Let h(v) = -6*v**3 - 4*v**2 - 3*v - 4. Let z be ((-9)/15*4)/((-2)/5). Let g(o) = -z*o**3 + 5*o**3 - 1 + 1 - o**2 - 1. Determine k*g(u) - h(u).
2*u**3 + 3*u
Let r(a) be the second derivative of -a**4/12 - 7*a**3/6 + 7*a**2/2 - a - 5475. Let w(k) = -4*k + 4 - 5 + 5*k. What is -3*r(s) - 21*w(s)?
3*s**2
Let b(o) = -o - 1. Let m(z) be the second derivative of 45*z**2/2 - 3353*z. Give 45*b(g) + m(g).
-45*g
Let g(t) be the second derivative of -t**3 + t - 169. Let h(j) = -j + 1. Calculate g(n) + h(n).
-7*n + 1
Let c(x) = 5*x**3 + 16*x + 1946726*x**2 - 2 - 1946723*x**2 + 1. Let b(r) = 14*r**3 + 8*r**2 + 47*r - 2. Give 3*b(z) - 8*c(z).
2*z**3 + 13*z + 2
Let r(g) = -6*g**3 - 2*g**2 + 5*g - 7. Let w(j) = 3*j**3 + j**2 - 2*j + 3. Let y be (-26)/14 - -1 - (-1666)/343. Determine y*r(d) + 9*w(d).
3*d**3 + d**2 + 2*d - 1
Let d(u) = -599. Let k(r) = 214. Let w(l) = -5*d(l) - 14*k(l). Let v(b) = -11*b + 4. Suppose -p + 6 = 2*z + p, -4*p = 3*z - 11. Give z*v(q) + 4*w(q).
-11*q
Let f(k) = -135*k**2 - 5*k - 4. Let t(w) = -w**2 - 5*w - 2. Determine f(l) - t(l).
-134*l**2 - 2
Let w(y) = 25*y**3 - 5*y**2 - 20*y - 503. Let x(f) = 37*f**3 - 7*f**2 - 28*f - 755. Calculate -7*w(b) + 5*x(b).
10*b**3 - 254
Let u(f) = -f**2 + 1. Let t(v) be the first deriv | {
"pile_set_name": "DM Mathematics"
} |
4)/18?
False
Let l = -6 - -6. Let v(m) = m**3 - m**2 - m + 3. Let k be v(l). Suppose -d - z = -31, k - 5 = z. Is d a multiple of 32?
False
Let w be 560/(-72) + (-4)/18. Let a(y) = -y**3 - 8*y**2 - 4*y - 8. Does 24 divide a(w)?
True
Let o = 5 + -3. Suppose 5*a - 6 = 9. Suppose -o*w = -2*i - 0*w + 90, a*w = 4*i - 178. Is i a multiple of 13?
False
Suppose 6*c + 265 = 1105. Is c a multiple of 28?
True
Let g(d) = d**3 + 9*d**2 + d + 9. Let s be g(-9). Suppose s + 152 = x. Is x a multiple of 17?
False
Let h(p) = -7*p**3 - 3*p**2 + p + 2. Let r be h(-3). Let u = r - 113. Is u a multiple of 24?
True
Suppose -5*i - 3*z = -2, i = 4*i - 5*z + 26. Let c(r) = -13*r**3 + 4*r + 4. Does 8 divide c(i)?
False
Let u(z) = z**3 + 4*z**2 - 4*z + 5. Let j be u(-5). Let r be j/2*-1 - -3. Suppose -v = r*v - 36. Is 6 a factor of v?
False
Let m(w) = -5*w**2 - 9*w + 6. Let x be m(4). Let a = x - -201. Is a a multiple of 14?
False
Suppose -17 + 21 = 2*d. Suppose -d*x + 5*x + 2*h - 1048 = 0, -351 = -x + h. Is 20 a factor of x?
False
Let h be (-2)/5 + (-51)/(-15) + 220. Suppose x - 4*x = 5*z + 801, 0 = 2*x + 4. Let m = h + z. Is m a multiple of 14?
False
Is 19 a factor of 1166/2 - (-24 + 32)?
False
Let x(l) = l**2 - 9*l + 1. Let p be -1 - -6 - (-1 - 0). Let a(s) = 3*s**2 - 26*s + 2. Let n(f) = p*a(f) - 17*x(f). Is 19 a factor of n(9)?
False
Let y = -118 + 115. Does 16 divide (y - -233) + (6 - 3)?
False
Let r = 589 + -378. Let d = r + 143. Does 59 divide d?
True
Let i = -315 + 72. Let m be (i/(-4))/(1/4). Suppose w - 4*w + m = 0. Does 27 divide w?
True
Suppose 4*d = d + 9. Suppose 5*b + 0*b + 2*i - 76 = 0, -56 = -d*b + 4*i. Let p = -1 + b. Is 5 a factor of p?
True
Let z(k) = -38*k - 1. Let r be z(-1). Let f(d) = -4*d - 26. Let n be f(-12). Suppose n = 3*g - s + 2*s, -3*g + 2*s + r = 0. Is g a multiple of 4?
False
Suppose 3*a - 98 - 121 = 0. Suppose a = 4*i - 4*n - 83, -2*n = -4*i + 156. Is i a multiple of 5?
False
Suppose 4*f - 240 = -6*f. Suppose 0 = -t - 5*x + 25, -5*t + f = -2*t - 2*x. Is t a multiple of 5?
True
Suppose 20*y + 235 = 25*y. Let m = y - 2. Is m a multiple of 9?
True
Let k(n) = -n**3 + 8*n**2 - 6*n + 1. Let l be k(4). Suppose -166 = -5*b - 3*o, 5*b = 2*o + 88 + 93. Let w = l + b. Is 20 a factor of w?
False
Let g = -19 - 0. Let w = g - -29. Does 14 divide (28/w)/1*5?
True
Let n(u) = -12*u - 9*u**2 + 7 + 9*u**3 + 22*u**2 - 10*u**3. Let m be n(12). Suppose 0 = -z + m + 1. Is 2 a factor of z?
True
Let p(f) = 5*f + 12. Let q be p(7). Suppose 46*i + 195 = q*i. Does 43 divide i?
False
Suppose 5*f - 17 + 5 = m, 5*m = f - 12. Is 161/2 + m/(8 + -4) a multiple of 16?
True
Let v(h) = 11*h + 5. Let f be v(-2). Let a = 21 + f. Suppose 2*k - l - 3*l - 28 = 0, 3*k = a*l + 48. Does 4 divide k?
True
Let g(d) be the third derivative of -d**6/120 - 3*d**5/20 + d**4/6 + 13*d**2. Let f(t) = -t**3 + 6*t**2 - t - 4. Let w be f(6). Does 15 divide g(w)?
True
Suppose 0*a + 24 = -a - 5*x, -18 = 2*a + 4*x. Does 21 divide (-11 + (0 - a))*-14?
True
Let g(t) = -5*t + 0*t + 0 + 3*t + 2. Let q be g(2). Is 12 - (-3 - (q + 1)) a multiple of 7?
True
Suppose -5*z + 5*r - 4 = r, 5 = -4*z + 5*r. Suppose z = -2*a + 4*a - 24. Is a a multiple of 8?
False
Suppose 2*x + 4*v = 7*x - 127, 0 = 2*x - 5*v - 61. Suppose x = 6*i - 7. Let c(d) = d**2 - 3*d - 6. Does 4 divide c(i)?
True
Suppose 7*a = 3*a + 16. Suppose 4*v - 24 = -a*z, 3*v - 16 = -2*z - v. Suppose z*g - 135 = -g. Is 19 a factor of g?
False
Let v(g) = 3*g**3 + 16*g**2 + 20*g - 20. Is 15 a factor of v(8)?
True
Let h be (-3 - 28/(-20))/(1/(-30)). Suppose 2*w - 102 = -0*w - 3*j, -3*j = w - h. Is w a multiple of 18?
True
Let g(p) be the first derivative of -p**4/4 + 7*p**3/3 - 8*p + 11. Does 10 divide g(6)?
False
Let b(o) = -2*o - 4. Let p be b(-4). Suppose 0 = -2*s + p*s - 4. Suppose s*a - 7 = 5. Does 3 divide a?
True
Does 11 divide (-3 - (-6)/3) + 386?
True
Suppose -30 = 4*k - t + 417, 221 = -2*k + 3*t. Let b = k - -182. Let f = b - 28. Is f a multiple of 13?
False
Let y be -6*(4/2 - 3). Let g(h) be the third derivative of h**5/60 + 5*h**4/24 - h**3 - 5*h**2. Does 20 divide g(y)?
True
Let q be 35/(-10) - ((-18)/4 + 3). Is ((-5 - q) + 4)*(156 + 1) a multiple of 14?
False
Let t(z) be the third derivative of 5*z**6/24 - z**5/20 + z**4/12 - z**3/2 + 11*z**2. Let d be t(3). Suppose 8*v - d = v. Is 14 a factor of v?
False
Let a(m) = 9*m**3 - 3*m**2 - 4*m - 7. Let s be a(-2). Let x = 151 + s. Is 34 a factor of x?
True
Let h = 91 + -88. Suppose -5*n + 1447 = -r, 4*n - 5*r - 1154 = -h*r. Is n a multiple of 29?
True
Suppose 1175 + 90 = 5*p. Is p a multiple of 15?
False
Suppose 2*b + 0*b - 220 = q, 0 = 2*b - 4*q - 214. Let i = b - 57. Suppose 4*c = c + i. Is c a multiple of 9?
True
Let j be (-2 + 0 - 0) + 2. Suppose j = p - 2*p. Suppose p*b + 78 = 2*b. Does 13 divide b?
True
Suppose 3207 + 1801 = 8*w. Is w a multiple of 26?
False
Let l(y) = -y**2 + 13*y - 4. Suppose -5 = c - 2*c. Let t be l(c). Let i = t + -27. Is i a multiple of 2?
False
Suppose 3*s + 3*u - 562 = -u, 4*s + 4*u = 748. Let c = s - 126. Is c a multiple of 17?
False
Suppose -11*p = -9*p - v + 36, -96 = 5*p - 4*v. Let n = 126 + p. Does 11 divide n?
True
Let w be -2*(-4)/36 + 10/(-45). Does 24 divide -8*(-36)/3 + w/(-4)?
True
Let c(b) be the third derivative of 5*b**4/12 - b**3/6 + 42*b**2. Does 3 divide c(4)?
True
Let y be (-6 + 4)/(4/(-10)). Does 4 divide (y/2 - 2) + (-1125)/(-18)?
False
Let o(p) = 2*p - 1. Let b be o(-1). Let q = -3 - b. Suppose q*z - 72 = -2*z. Is z a multiple of 11?
False
Suppose 4*o = -l + 261, -225 = -l + 13*o - 8*o. Is l a multiple of 24?
False
Let z be (-2)/(-8) + 1948/16. Suppose -5*d - 4*g + 99 = -53, -4*d - 3*g = -z. Suppose 0 = q - d - 4. Does 9 divide q?
True
Is 30 a factor of 1*60/9*(-906)/(-8)?
False
Let n = -39 - -140. Does 15 divide n?
False
Let y = 784 - 34. Suppose -5*m - 755 = -5*z, 0 = -2*z - 3*z + 4*m + y. Let k = z + -23. Does 29 divide k?
False
Does 13 divide (65/2)/((-13)/(-130))?
True
Suppose s = f + 4, 0 = s + 4*s - 4*f - 19. Suppose 9 = x - 16. Suppose -v = -2*a - 14, s*v + 5*a - x = -2*v. Is v a multiple of 6?
False
Let b(c) = c + 4. Let k(d) = 2*d + 8. Let u(h) = -5*b(h) + 2*k(h). Let l be u(-9). Suppose 0 = 4*r - 4*w - 232, -223 = -4*r - l*w + 6*w. Does 14 divide r?
False
Suppose z = 3*z - 2. Let w be 24 + 0 + (-3)/z. Suppose 0 = -4*r + 2*f + 34, -5*r + f + 26 + w = 0. Is r a multiple of 5?
True
Suppose -2*h + 7031 = 22*s - 17*s, -4*h - 5*s + 14077 = 0. Is h a multiple of 46?
False
Suppose -p + 1095 = 3*t, -53*t = 2*p - 57*t - 2150. Is 19 a factor of p?
True
Suppose 13*k + 272 = 9*k. Let q = 16 - k. Does 21 divide q?
True
Let i = 29 + -22. Let s be ((-6)/i)/((-17)/2142). Suppose 6*d = 8*d - s. Is 20 a factor of d?
False
Let m(l) be the second derivative of -l**5/20 - l**4/3 + l**3/2 + 2*l**2 + 3*l. Let c be m(4). Is 17 a factor of -1 + 3 + c/(-2)?
False
Suppose 3*h + 126 = 2*t, h = -5*t + 1 - 26. Let s = h + 90. Is 10 a factor of s?
True
Let i = -1 + 0. Let h(q) = -25*q - 3. Let v(w) = 51*w + 7. Let o(p) = 5*h(p) + 2*v(p). Does 11 divide o(i)?
True
Suppose 3*x - 50 = -d - 0*d, 4*x + 4*d = 56. Is x a multiple of 6?
True
Let f be (2 - 59)*(-44)/12. Suppose -4*u + 5*h + f = -62, -3*u = h - 189. Suppose 16 = 4*z - u. Does 10 divide z?
True
Let u = 42 + -30. Suppose -u = -5*b + 8. Suppose 178 = b*x + 26. Is x a multiple of 11?
False
Let d(k) = -3*k**3 - 11*k**2 - 10*k + 12. Let b(m) = -m**3. Let t(s) = 4*b(s) - d(s). Let g be t(12). Let x = 60 + g. Is 20 a factor of x?
False
Suppose 4*u - 4 = -i + 5*i, 0 = -5*i + 10. Suppose 6*h - 46 = u*h + 2*t, -h + 11 = -5*t. Is 16 a factor of h?
True
Suppose -9*b + 48 = -6*b. Let q be (0/2 - -1)*-3. Is 4 a factor of b - (-1 - (q + 0))?
False
Is (-8 - -7)/(1/(-49)) a multiple of 49?
True
Let k = 88 - -17. Suppose 0 = 5*x + 5*s - k, -4*s = 2*x - 10 - 42. Is 8 a factor of x?
True
Let w(r) = 34*r**2 - 4*r + 94. Does 86 divide w(-10)?
False
Let s(h) be the first derivative of -h**3/3 - 11*h**2/2 - 12*h + 6. Suppose -d - 5*q = 4, 5*d - 4*q = q - 50. Does 6 divide s(d)?
True
Let h = 110 + -135. Does 5 divide 1/(10/h)*(0 + -22)?
True
Suppose -1823 = -9*d + 634. Does 8 divide d?
False
Does 10 divide 96 - -26 - (6 + 2)?
False
Let j(f) be the third derivative of 1/120*f**6 + f**3 + 0 - 5*f**2 + 5/24*f**4 + 0*f - 1/12*f**5. | {
"pile_set_name": "DM Mathematics"
} |
ded by 52.
51
What is the remainder when 78259 is divided by 78171?
88
What is the remainder when 32628 is divided by 213?
39
What is the remainder when 1664 is divided by 125?
39
What is the remainder when 7176 is divided by 1790?
16
What is the remainder when 829640 is divided by 928?
8
Calculate the remainder when 164 is divided by 142.
22
Calculate the remainder when 49855 is divided by 182.
169
Calculate the remainder when 257763 is divided by 826.
51
What is the remainder when 4646 is divided by 774?
2
Calculate the remainder when 635 is divided by 8.
3
What is the remainder when 58917 is divided by 23?
14
Calculate the remainder when 366188 is divided by 111.
110
What is the remainder when 19320 is divided by 77?
70
What is the remainder when 30266 is divided by 27?
26
Calculate the remainder when 1433 is divided by 558.
317
What is the remainder when 5061 is divided by 175?
161
Calculate the remainder when 80990 is divided by 395.
15
What is the remainder when 1371 is divided by 331?
47
Calculate the remainder when 198411 is divided by 455.
31
Calculate the remainder when 41910 is divided by 102.
90
Calculate the remainder when 2613334 is divided by 166.
162
What is the remainder when 2954 is divided by 611?
510
What is the remainder when 37892 is divided by 36?
20
Calculate the remainder when 8333 is divided by 2630.
443
Calculate the remainder when 499326 is divided by 188.
186
What is the remainder when 1638 is divided by 325?
13
What is the remainder when 584306 is divided by 57?
56
Calculate the remainder when 185 is divided by 9.
5
What is the remainder when 2811775 is divided by 176?
175
What is the remainder when 304225 is divided by 38026?
17
What is the remainder when 143247 is divided by 191?
188
Calculate the remainder when 3117755 is divided by 301.
298
What is the remainder when 1541 is divided by 510?
11
What is the remainder when 4137 is divided by 690?
687
Calculate the remainder when 593843 is divided by 41.
40
What is the remainder when 616179 is divided by 20?
19
What is the remainder when 1172029 is divided by 86?
21
Calculate the remainder when 9991 is divided by 343.
44
What is the remainder when 3340 is divided by 184?
28
What is the remainder when 1875919 is divided by 1048?
1047
Calculate the remainder when 537 is divided by 52.
17
What is the remainder when 931512 is divided by 1105?
1102
What is the remainder when 1106103 is divided by 276518?
31
Calculate the remainder when 19962 is divided by 1136.
650
Calculate the remainder when 178243 is divided by 20.
3
What is the remainder when 1459 is divided by 371?
346
What is the remainder when 95035 is divided by 38?
35
Calculate the remainder when 40045 is divided by 62.
55
Calculate the remainder when 659221 is divided by 16.
5
What is the remainder when 81774 is divided by 25?
24
Calculate the remainder when 19496 is divided by 929.
916
What is the remainder when 2507 is divided by 1068?
371
Calculate the remainder when 717178 is divided by 103.
92
What is the remainder when 7999 is divided by 2665?
4
Calculate the remainder when 5537 is divided by 478.
279
Calculate the remainder when 2548 is divided by 198.
172
What is the remainder when 23133 is divided by 61?
14
Calculate the remainder when 187 is divided by 138.
49
Calculate the remainder when 3272 is divided by 809.
36
What is the remainder when 116612 is divided by 99?
89
What is the remainder when 37302 is divided by 119?
55
Calculate the remainder when 6259 is divided by 58.
53
Calculate the remainder when 19416947 is divided by 2030.
2027
What is the remainder when 28203 is divided by 28007?
196
What is the remainder when 6643 is divided by 256?
243
Calculate the remainder when 42715 is divided by 1068.
1063
What is the remainder when 731 is divided by 187?
170
Calculate the remainder when 1011 is divided by 13.
10
What is the remainder when 5912369 is divided by 1611?
1610
What is the remainder when 3138 is divided by 1012?
102
What is the remainder when 4895 is divided by 813?
17
What is the remainder when 30982 is divided by 1556?
1418
Calculate the remainder when 17777 is divided by 808.
1
What is the remainder when 845 is divided by 824?
21
What is the remainder when 10693 is divided by 191?
188
Calculate the remainder when 65763 is divided by 16437.
15
What is the remainder when 535289 is divided by 70?
69
Calculate the remainder when 9238 is divided by 43.
36
What is the remainder when 8812 is divided by 872?
92
Calculate the remainder when 3999 is divided by 303.
60
Calculate the remainder when 13202 is divided by 27.
26
Calculate the remainder when 5830 is divided by 2802.
226
Calculate the remainder when 37459 is divided by 76.
67
What is the remainder when 8309 is divided by 2073?
17
Calculate the remainder when 6753 is divided by 2977.
799
What is the remainder when 6707 is divided by 412?
115
What is the remainder when 11581 is divided by 2890?
21
Calculate the remainder when 15615 is divided by 23.
21
Calculate the remainder when 10014 is divided by 7662.
2352
What is the remainder when 653662 is divided by 20?
2
Calculate the remainder when 1897510 is divided by 11.
10
What is the remainder when 3235 is divided by 646?
5
Calculate the remainder when 7681 is divided by 110.
91
Calculate the remainder when 32009 is divided by 3553.
32
Calculate the remainder when 101804 is divided by 2037.
1991
What is the remainder when 48525 is divided by 48525?
0
What is the remainder when 8685 is divided by 65?
40
What is the remainder when 27165 is divided by 9050?
15
Calculate the remainder when 22812 is divided by 184.
180
Calculate the remainder when 5052 is divided by 279.
30
What is the remainder when 16380 is divided by 5449?
33
What is the remainder when 2858772 is divided by 79?
78
What is the remainder when 11938 is divided by 2370?
88
What is the remainder when 102571 is divided by 24?
19
Calculate the remainder when 2181465 is divided by 266.
265
What is the remainder when 349505 is divided by 35?
30
Calculate the remainder when 1406 is divided by 1379.
27
What is the remainder when 84875 is divided by 37?
34
What is the remainder when 76826 is divided by 93?
8
Calculate the remainder when 641805 is divided by 12.
9
Calculate the remainder when 228 is divided by 61.
45
What is the remainder when 1985 is divided by 1970?
15
What is the remainder when 2911 is divided by 626?
407
Calculate the remainder when 55270 is divided by 8.
6
What is the remainder when 17104 is divided by 105?
94
Calculate the remainder when 268526 is divided by 148.
54
What is the remainder when 634468 is divided by 40?
28
What is the remainder when 19388 is divided by 24?
20
Calculate the remainder when 2951 is divided by 146.
31
What is the remainder when 19070 is divided by 1278?
1178
What is the remainder when 2237 is divided by 42?
11
What is the remainder when 125932 is divided by 62945?
42
Calculate the remainder when 31273 is divided by 311.
173
What is the remainder when 6612 is divided by 602?
592
Calculate the remainder when 3797 is divided by 10.
7
What is the remainder when 2716 is divided by 63?
7
What is the remainder when 139406 is divided by 627?
212
Calculate the remainder when 3219 is divided by 150.
69
What is the remainder when 131534 is divided by 19?
16
What is the remainder when 39875 is divided by 9?
5
What is the remainder when 644153 is divided by 98?
97
What is the remainder when 585620 is divided by 553?
546
Calculate the remainder when 14198 is divided by 4727.
17
Calculate the remainder when 78246 is divided by 2173.
18
Calculate the remainder when 8795 is divided by 157.
3
Calculate the remainder when 10087 is divided by 2750.
1837
Calculate the remainder when 68867 is divided by 142.
139
Calculate the remainder when 235168 is divided by 90.
88
Calculate the remainder when 121885 is divided by 586.
583
What is the remainder when 4124104 is divided by 994?
992
What is the remainder when 5154 is divided by 1961?
1232
What is the remainder when 513966 is divided by 26?
24
Calculate the remainder when 66374 is divided by 4424.
14
What is the remainder when 1561 is divided by 495?
76
Calculate the remainder when 10503 is divided by 1497.
24
What is the remainder when 47005 is divided | {
"pile_set_name": "DM Mathematics"
} |
a factor of i(9)?
True
Suppose 0 = 73*g - 43*g - 64530. Is g a multiple of 22?
False
Let a(p) = -p - 13. Let i be a(-13). Suppose -o - o - 2 = -l, i = 2*o - 6. Is l even?
True
Let m(u) = u**3 - 9*u**2 + 13*u - 26. Does 13 divide m(9)?
True
Let x(d) = -d**2 - 6*d. Let c be x(-4). Let g = -447 - -923. Suppose 357 = 3*o + s, 4*o - c*s + 3*s = g. Is o a multiple of 26?
False
Let c(z) = -12*z**3 - 5*z**2 - 18*z - 1. Is 72 a factor of c(-4)?
False
Suppose -13*z = -12*z + 128. Does 16 divide ((-18)/(-8))/((-6)/z)?
True
Is (-4 - (4 - 73))*(29 + -25) a multiple of 13?
True
Suppose -2*q + 10 = -4*t, 2*q - 3 + 1 = -4*t. Let l(h) = 89*h**2 + 3*h + 2 - 86*h**2 + 1 - h**3. Is l(q) a multiple of 6?
True
Let h = 466 - 1014. Is (-2)/7 + h/(-7) a multiple of 36?
False
Let t(h) = 18*h - 12. Let z be t(4). Let k = z - 42. Is 5 a factor of k?
False
Let y = 399 - 21. Is y a multiple of 10?
False
Let v(t) = -t**3 + 6*t**2 - 5*t + 12. Let r be v(5). Let b(n) = n**3 - 10*n**2 - 4*n - 27. Is 10 a factor of b(r)?
False
Let t be (-18 - -18) + (-11)/1. Does 19 divide -6*t/(99/114)?
True
Let w(n) = -31*n + 53. Does 16 divide w(-5)?
True
Let d = 620 + 3039. Is d a multiple of 69?
False
Let a = -7 + 10. Suppose 5*d - 8*f - 140 = -a*f, 61 = 2*d - 3*f. Suppose -g + 3*h + 80 = -d, 5*g + 3*h - 425 = 0. Is 10 a factor of g?
False
Suppose 23*i + 2367 = 32*i. Is 33 a factor of i?
False
Suppose -10*u + 42 = -4*u. Suppose 6 - 39 = -3*b. Let k = b - u. Does 3 divide k?
False
Suppose -4 = -5*k + 6. Suppose -4*z = -k*z + 16. Does 6 divide 24*(-1)/z*4?
True
Let h = -11 - -14. Let q be 4/2 - (-588)/h. Does 13 divide q/12 + (-2)/(-4)?
False
Suppose -90 = 8*g - 9*g. Is 18 a factor of (18/(-15))/((-1)/g)?
True
Let w(i) = 69*i - 1302. Is 108 a factor of w(38)?
False
Let h(f) = -f**3 - 11*f**2 - 26*f - 14. Let p be (-12)/30*(25 + 0). Is h(p) a multiple of 7?
False
Let k = 2 - -2. Let q = -85 + 215. Suppose -k*w + q = w. Is w a multiple of 12?
False
Let i(a) = -9*a + 11. Suppose -58 = -9*v + 86. Let m = -20 + v. Is 9 a factor of i(m)?
False
Suppose 225 = 5*h - 2*h. Is 15 a factor of h?
True
Let r = -16 + 21. Suppose -3*x = r*d - 56, -5*d + 4*x + 32 = -d. Does 5 divide d?
True
Let t(w) be the second derivative of w**5/20 - w**4/4 + w**3/3 - w**2 + 4*w. Suppose 30 = 5*n - 5*y, 18 = n + 3*n - 2*y. Is t(n) a multiple of 3?
False
Let a = -3 + -7. Let s = 13 + a. Suppose 0 = -4*g - 3*h + 83, s*h - 16 - 16 = -g. Is g a multiple of 17?
True
Let g(z) = 318*z**2 - 3*z + 2. Is g(1) a multiple of 21?
False
Let z(c) be the first derivative of 19*c**2/2 - 50*c + 12. Is 24 a factor of z(6)?
False
Let z(h) = 3*h + 57. Let f be z(-17). Suppose 2*x + 408 = -x. Does 17 divide x/(-4)*9/f?
True
Let g = 30 + 420. Let s = g + -256. Is 37 a factor of s?
False
Let l = -485 + 1175. Is l a multiple of 30?
True
Does 2 divide 18*(3 + (-30)/(-12) + -4)?
False
Let x(h) = h**2 - h - 10. Let s be x(4). Suppose z = -5*b + 212, z + 82 = s*b - 0*z. Does 14 divide b?
True
Let n be -3 + 2 + (-7)/(7/94). Let r = 128 + n. Is r a multiple of 20?
False
Let o(x) = -x + 8. Let u be o(3). Suppose -u*c + 0*c = -240. Is 16 a factor of c?
True
Suppose 0 = -2*r + 2*s, -4 = -r - s - 0*s. Suppose r*z + z + 312 = 0. Does 4 divide (-920)/z - 4/(-26)?
False
Let q(r) = -r**3 + 16*r**2 - 6*r + 13. Let k be q(14). Does 7 divide 10/(-35) + (k/7)/3?
False
Suppose -21521 = -119*t + 22033. Is t a multiple of 3?
True
Let f(k) = k**3 - 6*k**2 + 3*k + 3. Let w be f(6). Let q be w/(-28)*(-1 + -3). Is 1*(117/3)/q a multiple of 4?
False
Let z = 52 - 52. Suppose -j = 5*v - 29, j + 2*v + v - 27 = z. Is 5 a factor of j?
False
Let h(k) = k**3 + 9*k**2 - 16*k - 20. Let a(r) = -3*r**2 + 5*r + 2. Let p be a(3). Does 6 divide h(p)?
False
Suppose -6*n = -n - 40. Suppose n + 4 = 3*l. Suppose l*i + i - 80 = 0. Does 5 divide i?
False
Suppose 4*v = 4*k - 124, -v + 4*k = k + 35. Let q = v - -48. Is 6 a factor of q?
False
Suppose -5707 = -7*r + 1979. Does 46 divide r?
False
Suppose 93*c = 90*c + 600. Is c a multiple of 48?
False
Suppose 5*j - 1445 = 230. Does 17 divide j?
False
Let p(v) = 6*v. Let a be p(2). Let c be 3/a - (-34)/(-8). Is 10 a factor of (-186)/c*4/6?
False
Is 6 + 590 - (-10)/(-1) a multiple of 28?
False
Let p(c) = c**3 - 3*c**2 + c + 6. Let q be p(3). Let b(l) = l**2 - l + 11. Does 19 divide b(q)?
False
Suppose -2*q = 2*s - 396, 10 + 10 = -5*s. Does 34 divide q?
False
Let i(f) = 12*f**2 - 1. Let o be i(1). Let h(x) = 2*x + x**2 - 7 - 2*x + o. Is 4 a factor of h(0)?
True
Let u be -3 - (-6)/2 - 43. Let b = u - -71. Is 2 a factor of b?
True
Let l(j) = j**2 + 11*j - 15. Suppose -4*s - 77 = -5*f, -4*f + 4 = -2*s - 42. Let d be l(s). Let q = 36 - d. Is 25 a factor of q?
True
Let b = -26 + 30. Let q(s) = -1 + 14 + 51 - b - s. Is q(0) a multiple of 20?
True
Let g be 5 + (-4 + 7 - 1*2). Does 13 divide 22/g*(-6)/4*-16?
False
Let d = -3 + 6. Let o(u) = 4*u - d + 3 + u**2 - 3*u. Is 8 a factor of o(3)?
False
Let x be (112/(-10))/(2/(-5)). Suppose -7*q - x = -9*q. Is q even?
True
Suppose 5*t + 3*p = 32, -31*p + 32*p = 2*t - 15. Is t even?
False
Suppose 5*w - 4*g - 34 = 0, 7 = 6*w - 4*w + 5*g. Let b be 4/w - 170/(-15). Is (-3)/b + (-525)/(-20) a multiple of 26?
True
Suppose -2*n = -n + 3*z - 54, 0 = 2*n + 4*z - 104. Let t = n - 9. Does 9 divide t?
False
Suppose -4*c + 610 = -t - 1689, -1753 = -3*c - 5*t. Does 48 divide c?
True
Suppose 25*t + 42 - 17242 = 0. Is t a multiple of 5?
False
Suppose 1958 = p - 4*i - 3629, -i = p - 5607. Does 7 divide p/91 + (-3)/(-7)?
False
Suppose -u + 23 - 9 = -2*f, -u + 24 = -4*f. Suppose p - u*w = -p + 76, -w = -4*p + 117. Suppose -2*b = -3*b + p. Is 12 a factor of b?
False
Suppose -5 = -3*j + 13. Let t be (-226)/(-7) - j/21. Is ((-246)/(-8))/(12/t) a multiple of 19?
False
Let y = 1304 - 255. Suppose -351 = -10*u + y. Is 14 a factor of u?
True
Let w(r) = r**3 + 8*r**2 - 17*r + 6. Is 8 a factor of w(6)?
True
Let z = 101 - 99. Suppose z*c + 3*a = 217, -a = 3*c - 2*a - 331. Is c a multiple of 11?
True
Does 84 divide (-239434)/(-91) + (-16)/14?
False
Suppose -u + 109 + 15 = 0. Suppose 2*i + 4*y + u = 0, -3*y - 5 = 2*y. Is 8/(-60) - 2948/i a multiple of 7?
True
Suppose 0 = 4*t - 10 - 6. Let a(v) = 6*v**2 - 5*v - 2. Let o(l) = -l. Let f(d) = a(d) - o(d). Is 39 a factor of f(t)?
True
Let g(p) = -p + 5 + 43*p**2 + 2 - 38*p**2 - 3. Is g(2) a multiple of 22?
True
Let m be (-55)/(-10) + ((-6)/(-4) - 2). Suppose -3*i + 4*o = -7*i + 340, -4*o = m*i - 424. Does 14 divide i?
True
Let b(a) = 2*a**3 - 5*a + 5. Let t be (0 - -1)/((-3)/(-6)). Let c be b(t). Let r = c + -7. Does 3 divide r?
False
Let s(l) be the second derivative of l**5/10 - l**3/6 + l**2/2 - 2*l. Let b be s(1). Suppose -45 = -5*q - 3*o, 0*q + b*o = -q + 2. Is q a multiple of 4?
True
Let l = 433 - 246. Is 11 a factor of l?
True
Suppose 5*r = 2*u + 33, -3*u = 5*r + 1 + 36. Let g = 71 + u. Does 7 divide g?
False
Let q(o) = -o**3 - 7*o**2 + 4*o - 9. Let t be (-24)/(-4)*(-6)/4. Is 17 a factor of q(t)?
False
Let b be (15/((-12)/4))/(3/21). Suppose -62 = 3*s + 130. Let g = b - s. Is 24 a factor of g?
False
Suppose -4*s + 58 - 38 = 0. Suppose -s*u - 21 = -241. Is 8 a factor of u?
False
Let l(b) = 31*b - 189. Is l(7) a multiple of 4?
True
Let g(a) = -6*a + 6*a**2 + 4*a + 13 - 5*a**2. Is g(-8) a multiple of 15?
False
Let k = 309 - 216. Suppose -4*d + 236 = 3*v, -3*d + 84 = v - k. Does 16 divide d?
False
Let l be 6/(-21) - 2932/28. Is (-6)/(-5)*l/(-6) a multiple of 4?
False
Let s = -113 + 201. Suppose -g - s = -q, -5*q - g + 88 = -328. Is 15 a factor of q?
False
Let l(y) = -y**2 + 15*y + 4. Let c be l(18). Let o = c + 181. Does 16 divide o?
False
Suppose -3*f = 12, -580 = -3*r - f + 115. Is r a multiple of 11?
False
Suppose -2*q - 2164 = -5*m + 105, 3*q - 1374 = -3*m. Does 18 divide m?
False
Suppose -26 = -3*i - 11. Suppose 0 = -i*k + 6*k - 73. Is k a multiple of 8?
False
Let t be (-7)/(4/(-12)*1). Let a = t + -5. Is a a multiple of 16?
True
Let u(o) = 129*o**2 - 48*o - 214. Is 91 a factor of u(-5)?
False
Suppose -5 - 5 = -5*k. Suppose 200 = -4*m - 2*t, -t = 2 + k. Let v = -34 - m. Is v a multiple of 7?
True
Suppose o = 5*f + 10, -o + 5*f = 3*o - 40. Suppose o*l = 6*l - 12. Is l/4 - (-2488)/32 a multiple of 35?
False
Let g(l) = 15*l**2 - 12*l - 28. Does 35 divide g(-4)?
False
Suppose -3*t = 3*n - 69, | {
"pile_set_name": "DM Mathematics"
} |
k*j + j - 2*y = 0, j + 2*y + 6 = 0 for j.
2
Suppose 31*z - 183 - 158 = 0. Solve 3*x - z = p, -p - 2 + 1 = 2*x for p.
-5
Suppose 0 = -2*y - l - 139 + 147, 2*y + 5*l = 24. Solve -y*a = -15*z + 11*z + 4, 0 = -a - 4*z - 2 for a.
-2
Let r(u) = -5*u**2 + 20*u + 5. Let n be r(4). Solve n*t = 4*l + 14, -5*l - 15 = -2*t - 3*t for t.
2
Suppose -8*j - 132 = -11*j. Let n = j + -38. Solve 3*l + 4*c = 3, -2*l - 5*c = -n*l + 35 for l.
5
Suppose -d + 20 = 23. Let k be 2 + -3 + 0 - (d - 3). Solve 0 = -q - k*n + 9, -3*q = -q - 2*n + 6 for q.
-1
Let c(d) = -d**3 - 7*d**2 - 8*d + 25. Let k be c(-3). Solve -t + 8 = 3*s, 5*s - 2*t + 4*t = k for s.
3
Suppose 0 = 43*o - 48*o + 15. Solve -3*g = o*k + 12, g + 3*k + 0 = -6 for g.
-3
Suppose 30 = 25*n - 19*n. Suppose 3*v = n*i - 35, 6*i - 21 = 3*i - 2*v. Solve g = -4, 2*x - g - i = -x for x.
1
Let k be (2/(-2))/((-1)/3*1). Solve q = -0*q + w + 1, 5*w = k*q + 3 for q.
4
Suppose 2*d = -5*u + 3*u + 8, -3*u = -5*d - 4. Suppose -5*r = -3*z - 1, z - r + 8 = u*z. Solve 4*c = 2*j, j - 4*c = z*j - 16 for j.
4
Let o(g) = -g**2 + 7*g + 2. Let s be o(7). Let a be (0*s/2)/(-1). Solve 3*n + t = -a + 1, -1 = 3*n - t for n.
0
Let u be 85/68 - (-3)/4. Solve -3*v - 5*s - 8 = 0, 0*v = 2*v - u*s for v.
-1
Let m be 138/(-21) - 15/35. Let a(o) be the first derivative of o**2 + 16*o + 7. Let q be a(m). Solve 3*c = -2*g - 1, -5*c = -q*g - 20 - 5 for c.
3
Suppose -58 = -9*d + 14. Let p be 51/15 + 4/(-10). Let y = -1 + 1. Solve -u + 2*z + p = y, 3*u + d - 2 = z for u.
-3
Suppose 0 = 4*c + 2*o - 8, -12 = -5*c + 2*o + 16. Solve 2*f = 3*l + 5, 0*l - c*l - f = -8 for l.
1
Suppose l = -4*l - 5*q + 70, 4*l - 41 = -q. Suppose -3*h = r - l, -2*h + 3*r + 6 = 4*r. Solve -n + 4 = -h*s - 7, -3*n = 3*s + 27 for n.
-4
Let v(t) = -3*t**2 - 23*t - 5. Let q(h) = -h**2 - 11*h - 2. Let i(s) = -5*q(s) + 2*v(s). Let p be i(9). Solve -5*r + 25 = p, k - 4*r + 23 = 2*k for k.
3
Let y be ((-24)/(-9))/((-2)/(-3)). Let g(m) = 9*m**2 - m + 3. Let p be g(0). Solve -2*f - 2 = 2*f + 2*a, f = p*a - y for f.
-1
Suppose 2*p + 232 = 5*c + 786, 4*p = c + 100. Let z be 4/(-6) + c/21. Let g(r) = -2*r - 12. Let a be g(z). Solve a*b + 2*b + 4*m = 0, -4*b + 4*m = 0 for b.
0
Suppose 3*a + 6 = 0, -2*r - 4*a - 23 = -7. Let c be 1400/63 + r/18. Suppose 23 = 5*i - c. Solve 0 = -3*l + 3*z + 12, 2*l - 2*z - i = z for l.
3
Let i be (-32)/(-8) - (2 - -2). Let f be 10 + (-2 + i - -2). Solve p + 5*r = -18 - 9, 2*r = -f for p.
-2
Let j be (19/2 - (-20)/40) + -5. Solve a = -2*d - d, -12 = -3*d - j*a for d.
-1
Suppose 6*l + 22 = -80. Let c = l - -17. Solve -m + 2*d + 7 = c, -2*d = -4*m + d + 23 for m.
5
Let u(a) = -a**3 + 17*a**2 - 17*a + 16. Let x be u(16). Solve n + 2*c + 7 = 0, 0 = -5*n - x*n + 4*c + 21 for n.
1
Let k be (-6)/(-2) - 130/(-10). Suppose 0 = o + 3*u - 14, -u - u + k = 2*o. Solve -l + 2*l = -x - 8, o*x - 5 = 4*l for l.
-5
Suppose 3*x - 17 = 7. Suppose 14*u - 30 = x*u. Solve 0*j + j = -u*b + 25, j = 3*b - 7 for j.
5
Let k = -44 + 38. Let f(z) = -z - 5. Let r be f(k). Solve -m - r = -l, -3*l + l = -4*m - 8 for l.
-2
Let q = -69 - -63. Let s = 11 + q. Solve -3*m - 9 = -3*f, -2*f + 8 = -s*m + 2 for f.
3
Let y(s) = 2*s**2 - 17*s - 5. Let w be y(9). Solve 27 = -5*v - 4*a + 2, w*v = -a - 20 for v.
-5
Let s(z) = 2*z**2 - z + 1. Let a be s(-1). Let k be 7/(21/(-6)) + 10. Solve a*x - 2*h = k, x + 2*h - 2 = -0 for x.
2
Let h = -14 - -52. Suppose -4*t - 3*b + 2 = -h, -10 = -t - b. Suppose -3*a = -5*a + t. Solve -m + 2*x - 6 = -a*m, 0 = m + x + 1 for m.
4
Suppose -10 = -2*r + 12. Let c be r/((-110)/12)*-5. Let m = 10 - -1. Solve u - 4*u - 2*b = m, -2*u + 2*b + c = 0 for u.
-1
Let h(l) = -14*l + 34. Let f be h(2). Solve 12 = -4*q - 4*a, -3*a - 14 = f*q - 2*q for q.
-5
Let v = 12 - 6. Let m(i) = i**2 - 6*i - 2. Let n be m(v). Let s be (2 + 0)/(n/(-3)). Solve 0 = s*j - 4*b + 7, -j = -3*b - 1 for j.
-5
Suppose 0 = -3*c - 0 + 9. Suppose c*b = -b + 8. Solve 0 = b*s + 4*f + 18, -2*s + 2*f = 3*s - 3 for s.
-1
Let v = 148 + -84. Suppose -v*h + 12 = -60*h. Solve -3*g - 2 = -0*g - 2*w, -3*g - h*w = 12 for g.
-2
Suppose -2*o = -4*o + 4*x - 4, -2 = -3*o + 2*x. Solve 4*f + 4*t = 8, 7 = 4*f + 3*t - o for f.
3
Suppose -2*h = -3*v - 44, 0 = 367*h - 368*h + 2*v + 22. Solve 3*r + 14 = -q, -r + 7*q = 2*q - h for r.
-3
Suppose 0*k = k + 5*k. Solve k = -2*u + 5*n - 29, 4*u + 12 + 6 = 2*n for u.
-2
Let g(u) = -u**2 + 14*u - 2. Let b be g(13). Solve t + 2*s = -4*t + b, 4*t - 4*s = 20 for t.
3
Let r be 2/(-4) - 40/(-16). Suppose -5*t + 10 = 2*j, -t + 0*t - r*j = -2. Let i be 3/(-3)*t + 7. Solve -5*w = -l - l + 33, 5*w = -5*l - i for w.
-5
Suppose -3*b - 32*q = -31*q, -3*q = 4*b. Solve 5*g + 5*a + 5 = b, -4*g + 1 = 3*a + 2 for g.
2
Let v be 2/14 + ((-680)/(-119))/2. Solve -3*p - 20 = 2*i, 28 = -v*i - 3*p - p for i.
-4
Suppose -4*m - m = 0. Suppose 9*c + 372 = 1209. Let z = c - 91. Solve -1 = -g + u - m*u, -z*g - u = 13 for g.
-4
Let g be 486/15 + 8/(200/15). Suppose 32*z = g*z - 3. Solve -2*k + 6 = 0, 0 = 4*f - 8*k + z*k + 3 for f.
3
Suppose 4*a + 6*h = 3*h + 15, -3*a = 2*h - 12. Suppose -6 = -5*k + 4. Let o = -2374 + 2374. Solve -5*l - 15 = 0, o*l - a = 4*y - k*l for y.
-3
Let z = 311 - 303. Solve z*h - 3*h = -2*y + 5, 1 = h + y for h.
1
Let i(a) = 2*a + 31. Let x be i(0). Let s = -28 + x. Suppose s*j - 2*j = 0. Solve -2*m - 3*m + 3*q = 9, 2*m - 2*q + 2 = j for m.
-3
Let k = -661 - -663. Solve 2*w + k*v = 12, -3*w + 3*v = -5*w + 16 for w.
2
Let s(f) = -f**3 + 10*f**2 - 7*f - 12. Let k be s(9). Suppose -k = -2*p - 2. Let m be ((-2)/(-5))/(2/10). Solve 2 = -2*x - m*c, x = 4*x + p*c + 4 for x.
-2
Let d = -9 + 8. Let x be ((-2)/(-4))/(d/6). Let b(l) = l**2 + 2*l. Let n be b(x). Solve 5*q - 3*a + a = -20, -12 = n*q + a for q.
-4
Let v = -13 - -18. Let w = 62 + -58. Suppose -4*s = -w*g - 4, 5*s = -4*g - 7 + 30. Solve -5*a + s*k = -5 - 7, -3*a + 4*k + v = 0 for a.
3
Let c = -262 - -269. Solve q + 4*t - c = 0, 2*t = -6*q + q + 17 for q.
3
Let b be ((-15)/(-6) + -2)*-6. Let x be (-4)/(-4) + b/(-1). Let f = 332 - 332. Solve 0 = -3*i + q + q - 6, f = -x*i - 5*q - 8 for i.
-2
Let m be 14/98 - 2/14. Solve 4*z = -n - 4*n, m = z + 2*n for z.
0
Suppose 6*b - 165 = b. Suppose -34*g + b*g = -3. Solve y + 3*c = g, -3*c + 2 = 4*y - 1 for y.
0
Let q(r) = -2*r + 6. Let m = 1 + 4. Suppose 5 = -m*f, -4*f = -s - f. Let z be q(s). Solve -3*h - z = 0, h = -4*k + 5*h for k.
-4
Let f = -198 + 203. Let d be (-2)/(-8) - (-108)/16. Let s = d + f. Solve 0 = -2*m - 0*m + 2*t - s, 3*t - 10 = -5*m for m.
-1
Suppose 24 = -3*f + 3. Suppose -19 = 2*b - 43. Let g = b + f. Solve -n + 0*j + g*j = 0, -5*n + 22 = -3*j for n.
5
Let i be (-202)/(-1616) - 23/(-8). Suppose -4*v - 11 - 1 = 2*c, -3*c = -5*v - 37. Solve k + 19 = 5*j + c*k, 5*j - 31 = i*k for j.
5
Let i = 29 - 31. Let y = 4 + i. Solve 0*f + f + 2*d - 4 = 0, y*d = -2*f for f.
-4
Suppose 2*f - 6*w - 15 = -w, -4*f + 4*w + 12 = 0. Suppose 2*z + f*z = 12. Solve 4*j + 2*c + z = 0, -9 = -3*c - 0*c for j.
-3
Let r(j) = -27 - 12*j + 6 + 17*j - j. Let d be r(6). Solve -17 = -5*m + 4*v, -d*v - 12 = -3 for m.
1
Let q(i) = -5*i**2 + 2*i - 8. Let z(j) = -j**2. Let g(r) = q(r) - 6*z(r). Let p be g(-4). Solve 3*l + 12 = -a - p, 0 = 5*l - 3*a + 34 for l.
-5
Let c be (-3)/(-5) - 170/(-50). Let p = 22 - 13. Suppose p = 3*q - k, -k + 15 = 2*q + 3*q. Solve 3 + c = -q*x + 4*u, 2*x = 5*u for x.
-5
Suppose -55 = -5*c - 20. Let q(r) = r**2 - 6*r + 11. Let v be q(2). Solve -3*k = -v*f - 3, -4*k - 4*f - 2 = -c*k for k.
2
Suppose 0 = 2*o - 7*o + 150. Let x = o - 27. Solve 3*c + x = -2*m + 2, -c - 7 = 2*m for c.
3
Let p(w) = w**3 - 7*w**2 + 11*w - 2. Let d be p(2). Suppose 0*a + 40 = -4*a. Let j be (a/1)/((-2)/1). Solve -5 = o - 3*n, d*o - j = -5*o + 5*n for o.
4
Suppose 0*u = -3*u. Suppose -2*v = -u*v + 5*y - 24, -4*v + 48 = -4*y. Suppose 2*n + 5*p + v = p, 2*n - 5*p = 24. Solve -3*r = -0*r - 9, n*r = -o + 3 for o.
-3
Suppose 3*c + 0*c = -w + 5, 9 = 4*w + c. Suppose 7*y - 12*y = -65. Suppose -3*i - 3 = 0, 3*l - 5*i - 19 - y = 0. Solve 0 = 3*a - w*z - l, 4*a - 4*z = 16 for a.
1
Suppose -9*m + 5*m = 640. Let i = -160 - m. Solve 0 = 4*c - 3*h - i*h - 1, -c - 14 = 4*h for c.
-2
Suppose 17*b - 42 = -8. Solve -b = 2*a - 2*o, 3 = 2*a - 5*a + o for a.
-1
Suppose 3*g = 2*y - 71 + 79, -5*y = 20. Solve -3*o + d = o - 3, o - d + 3 = g for o | {
"pile_set_name": "DM Mathematics"
} |
ite number?
False
Is 3474089 a prime number?
True
Is 11383 prime?
True
Is 10423 composite?
True
Is 3907 a composite number?
False
Is 221633 a composite number?
True
Is 3299 a prime number?
True
Is 99173 prime?
True
Is 133079 composite?
True
Is 6065 a composite number?
True
Is 80623 composite?
True
Is 69737 a composite number?
False
Is 61186 a prime number?
False
Is 283753 a prime number?
False
Is 356869 a prime number?
True
Is 5839 prime?
True
Is 8207 a prime number?
False
Is 211921 composite?
True
Is 16043 a prime number?
False
Is 81647 a composite number?
False
Is 836183 prime?
True
Is 9337 a prime number?
True
Is 176255 composite?
True
Is 145763 composite?
True
Is 12097 prime?
True
Is 10343 prime?
True
Is 3827 composite?
True
Is 26447 a composite number?
True
Is 1759 a composite number?
False
Is 5993 composite?
True
Is 143609 prime?
True
Is 685 a composite number?
True
Is 99895 a prime number?
False
Is 4049 a prime number?
True
Is 2921 composite?
True
Is 15053 a composite number?
False
Is 159557 composite?
True
Is 749 a composite number?
True
Is 88589 prime?
True
Is 297359 prime?
True
Is 19607 a prime number?
False
Is 8419 a prime number?
True
Is 295937 composite?
False
Is 264507 composite?
True
Is 7669 prime?
True
Is 2779511 prime?
False
Is 67441 prime?
False
Is 73867 a prime number?
True
Is 26149 composite?
True
Is 23339 prime?
True
Is 552917 a composite number?
False
Is 15761 a prime number?
True
Is 217273 prime?
False
Is 15013 a prime number?
True
Is 6005 a composite number?
True
Is 1784107 composite?
True
Is 33447 prime?
False
Is 3821 a composite number?
False
Is 1478497 a prime number?
False
Is 115585 a composite number?
True
Is 83461 composite?
True
Is 280271 a prime number?
False
Is 212467 prime?
True
Is 25523 composite?
False
Is 62547 a prime number?
False
Is 202295 composite?
True
Is 1168261 a prime number?
True
Is 9689 a prime number?
True
Is 288049 a prime number?
True
Is 781581 prime?
False
Is 831503 prime?
True
Is 49865 a prime number?
False
Is 127951 prime?
True
Is 90322 a composite number?
True
Is 11699 a composite number?
False
Is 4525513 a prime number?
False
Is 87991 a composite number?
False
Is 305621 a composite number?
False
Is 286799 composite?
True
Is 73009 composite?
False
Is 8051 prime?
False
Is 411 a composite number?
True
Is 2483 prime?
False
Is 5779 a composite number?
False
Is 21223 composite?
True
Is 143053 composite?
False
Is 1687 composite?
True
Is 54361 composite?
False
Is 1543 a prime number?
True
Is 9197 a composite number?
True
Is 47777 a composite number?
False
Is 30047 composite?
False
Is 86287 prime?
True
Is 150523 a composite number?
False
Is 13367 a composite number?
False
Is 3587 prime?
False
Is 9151 a prime number?
True
Is 204887 a prime number?
True
Is 36893 prime?
False
Is 4729 prime?
True
Is 67453 composite?
False
Is 816622 composite?
True
Is 33671 a prime number?
False
Is 17957 a composite number?
False
Is 31281 composite?
True
Is 21647 prime?
True
Is 405179 a prime number?
True
Is 631 a composite number?
False
Is 107515 a prime number?
False
Is 4039 prime?
False
Is 28993 a composite number?
True
Is 17609 prime?
True
Is 34603 prime?
True
Is 20037 a composite number?
True
Is 65206 composite?
True
Is 397673 prime?
True
Is 2153 prime?
True
Is 3593 prime?
True
Is 929719 a composite number?
True
Is 949567 prime?
True
Is 96079 a composite number?
False
Is 164173 a composite number?
False
Is 2161 prime?
True
Is 8263 composite?
False
Is 3415 a prime number?
False
Is 998861 composite?
False
Is 71317 prime?
True
Is 4731191 a prime number?
True
Is 21085 a composite number?
True
Is 14321 prime?
True
Is 27007 a prime number?
False
Is 86783 composite?
False
Is 40087 a prime number?
True
Is 492767 composite?
True
Is 8507 a composite number?
True
Is 89398 prime?
False
Is 77705 a prime number?
False
Is 127519 a prime number?
False
Is 80471 composite?
False
Is 21653 composite?
True
Is 10133 a composite number?
False
Is 3427 prime?
False
Is 23431 a composite number?
False
Is 2152063 a prime number?
True
Is 83417 composite?
False
Is 7241 a composite number?
True
Is 86969 a composite number?
False
Is 50459 a prime number?
True
Is 162359 prime?
True
Is 1304659 a prime number?
True
Is 9383 a composite number?
True
Is 2455463 a composite number?
True
Is 292909 a prime number?
True
Is 131797 a composite number?
False
Is 1477 prime?
False
Is 20071 a composite number?
False
Is 34897 a composite number?
False
Is 11671 a composite number?
True
Is 22805 a prime number?
False
Is 83999 a prime number?
False
Is 9235 a prime number?
False
Is 179737 a prime number?
True
Is 192785 a prime number?
False
Is 11617 prime?
True
Is 65663 prime?
False
Is 15877 composite?
False
Is 1682855 a composite number?
True
Is 10487 a prime number?
True
Is 286579 prime?
False
Is 528233 a prime number?
False
Is 120749 a prime number?
True
Is 2797 a prime number?
True
Is 1693 composite?
False
Is 370241 a prime number?
True
Is 151273 a prime number?
True
Is 609101 prime?
True
Is 123455 prime?
False
Is 2609 prime?
True
Is 2153 a composite number?
False
Is 1731 a prime number?
False
Is 1861 a prime number?
True
Is 216829 composite?
False
Is 204062 prime?
False
Is 762943 a composite number?
True
Is 5414 a prime number?
False
Is 5351 a composite number?
False
Is 35671 prime?
True
Is 2419 a prime number?
False
Is 76757 a composite number?
False
Is 552787 a prime number?
True
Is 164039 a prime number?
True
Is 10721 a prime number?
False
Is 15091 prime?
True
Is 649 composite?
True
Is 236594 a composite number?
True
Is 45659 a composite number?
False
Is 72431 prime?
True
Is 466649 composite?
False
Is 110114 composite?
True
Is 58451 a prime number?
True
Is 311393 a composite number?
False
Is 87991 a composite number?
False
Is 125183 a composite number?
False
Is 328481 composite?
False
Is 19585 composite?
True
Is 2012267 a composite number?
True
Is 241609 a prime number?
False
Is 220118 prime?
False
Is 298993 a prime number?
True
Is 1487351 a composite number?
False
Is 1185493 prime?
True
Is 1003 a composite number?
True
Is 1361 prime?
True
Is 2081 a composite number?
False
Is 1409 a composite number?
False
Is 116479 a prime number?
False
Is 1651 composite?
True
Is 15149 a prime number?
True
Is 4207 a composite number?
True
Is 1119754 composite?
True
Is 9973 a prime number?
True
Is 380729 prime?
True
Is 300017 prime?
True
Is 135367 a composite number?
False
Is 76699 a composite number?
True
Is 138053 prime?
True
Is 122809 a composite number?
True
Is 5998 composite?
True
Is 354697 a prime number?
False
Is 328243 prime?
True
Is 31627 a prime number?
True
Is 7915 prime?
False
Is 57641 a composite number?
False
Is 529085 a composite number?
True
Is 290135 a composite number?
True
Is 9557 a prime number?
False
Is 18119 a prime number?
True
Is 38993 a prime number?
True
Is 42335 composite?
True
Is 49681 composite?
False
Is 9257 a composite number?
False
Is 145063 composite?
False
Is 34913 prime?
True
Is 28901 prime?
True
Is 5347 prime?
True
Is 2237 a prime number?
True
Is 27791 prime?
True
Is 471889 a prime number?
False
Is 57719 composite?
False
Is 7985 prime?
False
Is 282859 a prime number?
False
Is 44017 a composite number?
False
Is 147233 a composite number?
True
Is 228707 a prime number?
True
Is 61651 composite?
False
Is 1558429 prime?
False
Is 33379 a prime number?
False
Is 679589 a composite number?
True
Is 13399 composite?
False
Is 10559 a prime number?
True
Is 44263 prime?
True
Is 9897 prime?
False
Is 2531 a prime number?
True
Is 5576273 a composite number?
False
Is 11393 prime?
True
Is 164914 prime?
False
Is 342427 a composite number?
True
Is 35437 prime?
True
Is 10799 prime?
True
Is 15053 a composite number?
False
Is 46231 composite?
True
Is 269641 a prime number?
True
Is 192931 prime?
True
Is 5234 composite?
True
Is 212911 prime?
False
Is 5256131 composite?
False
Is 22921 a prime number?
True
Is 11657 a prime number?
True
Is 22657 prime?
False
Is 34453 composite?
True
Is 310459 prime?
True
Is 21701 a prime number?
True
Is 10749 composite?
True
Is 162779 a composite number?
False
Is 14822 a composite number?
True
Is 5431 composite?
False
Is 8513 a prime number?
True
Is 7511905 composite?
True
Is 130199 prime?
True
Is 18287 a prime number?
True
Is 930 | {
"pile_set_name": "DM Mathematics"
} |
570270 rounded to the nearest ten thousand?
1570000
What is 0.007488 rounded to three decimal places?
0.007
Round 1030 to the nearest 1000.
1000
What is 0.000010726 rounded to seven dps?
0.0000107
Round 57.86 to the nearest 10.
60
What is 1.267 rounded to 1 dp?
1.3
Round -1.2728 to one dp.
-1.3
What is -0.0001002 rounded to five dps?
-0.0001
Round -881520 to the nearest one hundred thousand.
-900000
What is 0.0130594 rounded to 3 decimal places?
0.013
What is 0.02726 rounded to 3 decimal places?
0.027
What is -951.5 rounded to the nearest one hundred?
-1000
What is 0.00020075 rounded to four decimal places?
0.0002
Round -0.0000124291 to six dps.
-0.000012
What is 71900 rounded to the nearest 10000?
70000
What is -31.33 rounded to the nearest integer?
-31
What is -5286.6 rounded to the nearest 10?
-5290
What is 0.036785 rounded to 2 decimal places?
0.04
Round -5.9457 to the nearest integer.
-6
What is -7624800 rounded to the nearest one hundred thousand?
-7600000
Round -0.02258 to two dps.
-0.02
What is 991.1 rounded to the nearest one hundred?
1000
What is -0.006618 rounded to four decimal places?
-0.0066
What is 200.69 rounded to the nearest integer?
201
What is -0.002838 rounded to 3 dps?
-0.003
Round -35048 to the nearest 100.
-35000
What is 0.000005904 rounded to five decimal places?
0.00001
Round 0.00113192 to 5 decimal places.
0.00113
What is 634.76 rounded to the nearest 100?
600
Round 26.9154 to zero dps.
27
Round -0.021856 to four decimal places.
-0.0219
Round -0.5742 to one decimal place.
-0.6
What is -0.162596 rounded to three dps?
-0.163
Round -0.0059612 to 5 dps.
-0.00596
Round 0.391 to 1 dp.
0.4
Round 0.005094 to 4 decimal places.
0.0051
What is 1.4914 rounded to 1 dp?
1.5
Round -1621900 to the nearest one hundred thousand.
-1600000
Round -0.0004896 to four decimal places.
-0.0005
Round 50.27 to the nearest one hundred.
100
What is -162800 rounded to the nearest one thousand?
-163000
What is 543.22 rounded to the nearest 10?
540
What is -0.000003504 rounded to 6 decimal places?
-0.000004
Round 21.97 to the nearest integer.
22
Round -0.000000557 to seven dps.
-0.0000006
Round -678.9 to the nearest ten.
-680
Round 14.972 to the nearest ten.
10
Round -0.0009744 to 4 dps.
-0.001
What is -350830000 rounded to the nearest one million?
-351000000
What is -0.0023781 rounded to 3 decimal places?
-0.002
What is -7199000 rounded to the nearest one hundred thousand?
-7200000
What is -0.0107148 rounded to 3 decimal places?
-0.011
What is -108 rounded to the nearest 100?
-100
What is 0.0014865 rounded to 4 decimal places?
0.0015
Round 0.51916 to 3 dps.
0.519
What is -0.0000034134 rounded to 7 decimal places?
-0.0000034
Round -0.00039383 to 6 dps.
-0.000394
What is 0.00029543 rounded to five decimal places?
0.0003
Round -513 to the nearest ten.
-510
Round -0.000003198 to five dps.
0
Round 1794900 to the nearest 100000.
1800000
Round 0.0011274 to 5 decimal places.
0.00113
What is 3001 rounded to the nearest 1000?
3000
Round 0.0037135 to five decimal places.
0.00371
What is -0.00009806 rounded to four dps?
-0.0001
What is -1644330 rounded to the nearest 100000?
-1600000
What is -4906700 rounded to the nearest one hundred thousand?
-4900000
Round -0.00054738 to 6 decimal places.
-0.000547
Round -2049.1 to the nearest ten.
-2050
What is -3379 rounded to the nearest 100?
-3400
Round -0.0000049044 to 6 dps.
-0.000005
Round -0.000003667 to six dps.
-0.000004
Round -0.0039108 to three decimal places.
-0.004
What is -6.6656 rounded to two decimal places?
-6.67
Round 0.000005 to six decimal places.
0.000005
What is -0.0009 rounded to three decimal places?
-0.001
What is -0.0000035499 rounded to six dps?
-0.000004
What is 9860 rounded to the nearest 1000?
10000
What is -262.7 rounded to the nearest ten?
-260
What is 48.62 rounded to the nearest integer?
49
What is 94.11 rounded to 0 decimal places?
94
Round 0.001036 to 4 decimal places.
0.001
Round 0.0016061 to five dps.
0.00161
What is 0.252234 rounded to three dps?
0.252
What is 0.001476 rounded to four dps?
0.0015
What is 3.4046 rounded to the nearest integer?
3
What is -0.0000086115 rounded to six dps?
-0.000009
What is -228.55 rounded to the nearest integer?
-229
What is 0.000001589 rounded to 7 dps?
0.0000016
What is 41020000 rounded to the nearest one million?
41000000
Round 0.0005362 to four decimal places.
0.0005
Round 6012.55 to the nearest one hundred.
6000
What is 16229 rounded to the nearest 1000?
16000
Round -0.000038751 to seven dps.
-0.0000388
What is 0.009814 rounded to three decimal places?
0.01
What is 0.0000025267 rounded to seven dps?
0.0000025
What is 0.0001196 rounded to four dps?
0.0001
Round -0.0030494 to five dps.
-0.00305
Round -2917900 to the nearest 10000.
-2920000
What is 37777000 rounded to the nearest one million?
38000000
What is -1400810 rounded to the nearest one hundred thousand?
-1400000
Round -0.000001606 to 7 decimal places.
-0.0000016
Round 0.00000925 to six dps.
0.000009
Round 0.01708 to 2 dps.
0.02
What is 0.114521 rounded to 3 dps?
0.115
What is 37600 rounded to the nearest one thousand?
38000
What is -5913.5 rounded to the nearest 1000?
-6000
Round -1802000 to the nearest 1000000.
-2000000
Round -0.003822 to 4 decimal places.
-0.0038
What is -0.0007306 rounded to 4 dps?
-0.0007
What is 0.5131 rounded to 2 decimal places?
0.51
What is 0.00047 rounded to 4 dps?
0.0005
Round 49.67 to the nearest integer.
50
What is -64.781 rounded to the nearest 10?
-60
Round -0.0008992 to four dps.
-0.0009
What is 23500000 rounded to the nearest one million?
24000000
What is 86260000 rounded to the nearest 1000000?
86000000
What is 16500000 rounded to the nearest one million?
17000000
Round -9783 to the nearest 1000.
-10000
What is 39.944 rounded to one decimal place?
39.9
What is -138.997 rounded to the nearest ten?
-140
What is -3.61 rounded to 1 dp?
-3.6
Round 0.00011 to five decimal places.
0.00011
What is -8.8 rounded to the nearest 100?
0
Round 0.00007574 to six dps.
0.000076
Round 2447 to the nearest 100.
2400
What is -0.0000792 rounded to 5 decimal places?
-0.00008
Round 0.00270484 to four decimal places.
0.0027
Round -0.1164 to two decimal places.
-0.12
Round 18578200 to the nearest 1000000.
19000000
Round 0.00000261 to six dps.
0.000003
What is -148580 rounded to the nearest one thousand?
-149000
What is 0.00043241 rounded to four dps?
0.0004
Round -0.00000079008 to 7 dps.
-0.0000008
Round 80 to the nearest 1000.
0
What is -37275100 rounded to the nearest one hundred thousand?
-37300000
What is -2036000 rounded to the nearest 100000?
-2000000
Round 0.4837 to 2 dps.
0.48
Round -919100 to the nearest 100000.
-900000
Round 788.3 to the nearest 10.
790
What is -3.161 rounded to 1 dp?
-3.2
What is 0.00013376 rounded to 5 decimal places?
0.00013
Round 0.000014014 to six dps.
0.000014
Round 0.0000063017 to 6 decimal places.
0.000006
Round -0.000000985 to 7 decimal places.
-0.000001
What is 60.8 rounded to the nearest 10?
60
Round -58029 to the nearest ten thousand.
-60000
Round 0.0000012793 to seven dps.
0.0000013
What is 0.0000067 rounded to seven dps?
0.0000067
Round -142.918 to the nearest ten.
-140
What is 604000 rounded to the nearest one million?
1000000
What is 52.6 rounded to the nearest ten?
50
What is 239.031 rounded to the nearest 100?
200
Round 45153000 to the nearest 1000000.
45000000
Round 20236.2 to the nearest 100.
20200
What is 9664000 rounded to the nearest one hundred thousand?
9700000
Round 0.0022207 to 4 dps.
0.0022
Round -82963000 to the nearest 1000000.
-83000000
What is -0.00003328 rounded to six dps?
-0.000033
Round -8751 to the nearest 100.
-8800
What is 0.000020231 rounded to 5 decimal places?
0.00002
Round -0.07229 to 2 decimal places.
-0.07
Round 0.00003105 to six decimal places.
0.000031
What is -0.0000004555 rounded to 7 dps?
-0.0000005
Round -785000 to the nearest ten thousand.
-790000
What is 15316000 rounded to the nearest one million?
15000000
What is -2.649 rounded to 1 dp?
-2.6
What is 38730 rounded to the nearest ten thousand?
40000
Round 6620000 to the nearest 1000000.
7000000
Round 25.892 to 1 dp.
25.9
What is -8.9639 rounded to the nearest integer?
-9
What is -224100 rounded to the nearest 100000?
-200000
What is -24094000 rounded t | {
"pile_set_name": "DM Mathematics"
} |
*2 + 12814
What is the second derivative of -8*p**5 + 3*p**4 + 397*p**3 + p + 151107 wrt p?
-160*p**3 + 36*p**2 + 2382*p
What is the first derivative of -202158*h - 120201 wrt h?
-202158
What is the third derivative of 50278*c**3*p**3 - 2*c**3*p + 3731*c*p - p**2 wrt p?
301668*c**3
What is the second derivative of -112298*q**2 + 821356*q wrt q?
-224596
Find the third derivative of g**3*h**3 + 2*g**3*h**2 - 1789*g**3 + 4*g**2*h**3 - 98*g*h**5 - g*h**2 - 2*g*h wrt h.
6*g**3 + 24*g**2 - 5880*g*h**2
Find the second derivative of 264*l**5 + 540*l**4 + 2*l**2 - 329057*l - 2 wrt l.
5280*l**3 + 6480*l**2 + 4
Find the first derivative of -9*j**3 + 579*j**2 - 2*j - 7551.
-27*j**2 + 1158*j - 2
Find the third derivative of 45340*n*z**3 + 126*n*z**2 - 3*n + z**3 + 43 wrt z.
272040*n + 6
What is the third derivative of 5*b**5 - 40*b**4 + 3*b**3 + b**2 + 5*b + 1455 wrt b?
300*b**2 - 960*b + 18
What is the second derivative of -109931*z**4 + 2*z**2 - 205539*z wrt z?
-1319172*z**2 + 4
What is the third derivative of 162961*m**3*x**5 - 2*m**3*x - 3*x**2 + 14451*x wrt x?
9777660*m**3*x**2
What is the derivative of 1260*d*n*s**3 + 7*d*n*s - 15*n*s**3 - n*s + 2*n - 86*s**3 wrt d?
1260*n*s**3 + 7*n*s
What is the third derivative of -125297*o**2*r**4 + 2*o**2*r**3*y - 31*o**2*r**2 - 246*o*r**2*y + 2*o*r*y wrt r?
-3007128*o**2*r + 12*o**2*y
Find the second derivative of -197515*l**5 - 4649*l - 23.
-3950300*l**3
Find the second derivative of -41817*y**3 - 778*y + 3.
-250902*y
Find the third derivative of -7*b**2*u**5 + 3868*b**2*u**4 - 103*b**2 + b*u**2 + 2*b*u - 379*u**2 wrt u.
-420*b**2*u**2 + 92832*b**2*u
What is the second derivative of 4*q**2*r**2*z**2 - 26503*q**2*r*z**2 - 81*q*r**2*z - 4*q*r**2 - 2*q*r*z**2 + 15*q*r*z wrt q?
8*r**2*z**2 - 53006*r*z**2
What is the second derivative of -2*a**5 + 634*a**4 + 11*a**2 - a + 937632?
-40*a**3 + 7608*a**2 + 22
What is the third derivative of 740*f**3*r**3*v - 13*f**3*r**2*v**2 - 3*f**2*r*v + 49*f*v**2 - 45*r**3*v**2 - 1 wrt f?
4440*r**3*v - 78*r**2*v**2
What is the derivative of 11934*d*p**3 - 2*d*p**2 + 634*p**3 + p + 7 wrt d?
11934*p**3 - 2*p**2
What is the first derivative of -2*a*j**3 - 838*a + 11642*j**2 + 130 wrt j?
-6*a*j**2 + 23284*j
Find the first derivative of -637711*s**2 - s - 5627697.
-1275422*s - 1
Find the first derivative of 1108943*l**4 + 54478.
4435772*l**3
Differentiate -7393*i**2*w**3 - 4260337*i**2 - 57*w**3 with respect to w.
-22179*i**2*w**2 - 171*w**2
What is the second derivative of -320*a*b**2 + a*b + 2*a*t - b**2*t + 13*b**2 - 231*b*t + 23*b wrt b?
-640*a - 2*t + 26
What is the third derivative of l**5 + 5727*l**4 + 2*l**3 + 72446*l**2 wrt l?
60*l**2 + 137448*l + 12
What is the third derivative of 4*v**3*y**4 - 9*v**3*y**2 + 3*v**2*y + 101*v*y - 101295*y**5 - 11*y**2 wrt y?
96*v**3*y - 6077700*y**2
Find the first derivative of 1575*i**2 + 2*i + 122805.
3150*i + 2
Find the first derivative of -1104*a**4*s**2 - 2*a*s**3 + 626*s**3 + 11*s wrt a.
-4416*a**3*s**2 - 2*s**3
Find the second derivative of 1545*x**5 - 177*x**4 + 3458889*x.
30900*x**3 - 2124*x**2
What is the third derivative of 15429*p**5 - 154091*p**2?
925740*p**2
Find the third derivative of 5*m*q**4 + 4*m*q**3 - 7*m*q**2 - 138*q**3 - 3356*q**2 - 2 wrt q.
120*m*q + 24*m - 828
What is the third derivative of 3834*q**4*v**3 - q**4 + 428*q**2*v**2 + 37*q*v**3 wrt q?
92016*q*v**3 - 24*q
Differentiate 21149*v**3 + 54252 with respect to v.
63447*v**2
Find the third derivative of 53582*l**3 + 7*l**2 + 2*l - 1860.
321492
What is the third derivative of 207*y**4 + 91*y**3 + 75205*y**2?
4968*y + 546
Find the third derivative of 2*m*u**3*v**3 - 2*m*u**3*v**2 - 43*m*u**3 - 2*m*u**2*v**3 - 14*m*u*v + 4*m*v**2 + 5*u**2*v**3 wrt u.
12*m*v**3 - 12*m*v**2 - 258*m
Find the third derivative of 2450780*a**3 + 27670*a**2 - 3*a - 12 wrt a.
14704680
What is the third derivative of 118*i**3*m + 883*i**3 + 44214*i**2*m + i*m wrt i?
708*m + 5298
What is the third derivative of 62*l**3*o**3 + 10512*l**3*o - l**2*o**2 + 4*o**3 + 9468*o wrt l?
372*o**3 + 63072*o
Find the third derivative of -464*h**5 - h**4 + 148*h**3 + 902*h**2 + 49*h.
-27840*h**2 - 24*h + 888
Differentiate -2*k**4 - 1794*k**2 - 7*k + 31284 wrt k.
-8*k**3 - 3588*k - 7
What is the second derivative of 2515*q**4 - 3*q**3 - 23*q**2 + 1292*q - 89?
30180*q**2 - 18*q - 46
What is the third derivative of 120*j**6 - 129*j**3 - 12995*j**2 - 17*j + 1?
14400*j**3 - 774
What is the third derivative of 1951641*p**4 - 315*p**2 - 149*p - 6 wrt p?
46839384*p
Find the second derivative of -76*a*b**2 + 11*a*b - 57*b**2 + 1248*b wrt b.
-152*a - 114
Find the third derivative of 943433*t**4 + 2754413*t**2 wrt t.
22642392*t
Find the third derivative of 81*g*y**4 + 14*g*y**3 - 157099*g*y**2 - 4*y**6 wrt y.
1944*g*y + 84*g - 480*y**3
What is the second derivative of -157*y**5 + 10*y**4 + 2*y**3 - 1279*y - 162?
-3140*y**3 + 120*y**2 + 12*y
What is the derivative of 209919*f*l + 208388*l wrt f?
209919*l
What is the third derivative of -84*r**6 - 5*r**4 - 5*r**3 - 7*r**2 + 98*r wrt r?
-10080*r**3 - 120*r - 30
What is the derivative of -r**2 - 4151*r - 22523 wrt r?
-2*r - 4151
Find the second derivative of 15744*z**3 + 321*z - 8.
94464*z
What is the third derivative of 87*q**4 - 187*q**3 + 3*q**2 + 10799*q?
2088*q - 1122
Find the first derivative of 16679*o - 87247.
16679
What is the third derivative of 3*p**5*q + 14*p**3*q + 71*p**3*r - 365*p**2*q*r + 17*p**2*q - 2*p*q*r wrt p?
180*p**2*q + 84*q + 426*r
What is the third derivative of 7*h**5 - 1564*h**4 + h**3 + 28*h**2 + 2*h - 303?
420*h**2 - 37536*h + 6
What is the derivative of 15980*u - 27825 wrt u?
15980
What is the first derivative of j**2*l - 2110019*j**2 + 79321*j*l - 12*l wrt l?
j**2 + 79321*j - 12
What is the first derivative of g*x**3 - 900*g*x**2*z + x**3*z + 4523*z wrt g?
x**3 - 900*x**2*z
Differentiate 2*x**4 - 5004*x**3 + 2*x**2 + 27367 with respect to x.
8*x**3 - 15012*x**2 + 4*x
What is the derivative of -t**3 + 24187*t**2 + 2*t - 294393 wrt t?
-3*t**2 + 48374*t + 2
What is the derivative of m**2 + 1302682*m + 1013861 wrt m?
2*m + 1302682
Find the second derivative of 3*a*v**3 + 4*a*v - 2*a + 87*v**4 + 125*v**3 + 2*v + 1243 wrt v.
18*a*v + 1044*v**2 + 750*v
What is the third derivative of 92523*h*v**3 + 3579*h*v - 2*v**2 + 2*v wrt v?
555138*h
Find the second derivative of -19*f*u**2 + 2*f*u - 39*f - 2*u**5 + 5*u**4 - 39*u**2 + 113*u wrt u.
-38*f - 40*u**3 + 60*u**2 - 78
What is the second derivative of 23432*h**3*q - h**3 + h**2*q + 2*h*q + 219*h + q + 2 wrt h?
140592*h*q - 6*h + 2*q
What is the second derivative of 20406*g**3 + 37*g**2 - 664*g - 1242 wrt g?
122436*g + 74
Find the second derivative of 14935*s**3 - 2*s**2 - 77*s + 70.
89610*s - 4
What is the second derivative of -2*d**5 - 39684*d**4 + 2*d**2 + 865030*d?
-40*d**3 - 476208*d**2 + 4
What is the second derivative of 55038*x**3 - 1460*x + 3 wrt x?
330228*x
Find the second derivative of 111*g**4*h**2 - 95*g**2*h**2 + 1227*g*h**2 + 15*h + 4 wrt g.
1332*g**2*h**2 - 190*h**2
What is the first derivative of -6864*d*i**2 + d + 20076*i**2 - 2*i + 2 wrt d?
-6864*i**2 + 1
What is the second derivative of 145995*f**5 - f + 4371 wrt f?
2919900*f**3
What is the first derivative of 15*a**4 - 3*a**3 - 36*a**2 + a + 295976?
60*a**3 - 9*a**2 - 72*a + 1
Find the third derivative of -80190*y**6 + 2*y**4 - 2*y**3 + 78*y**2 - 93*y - 3.
-9622800*y**3 + 48*y - 12
Find the first derivative of -18*a**3*n**4 + 21*a**3 - 35*a**2 - 9648*a*n**4 + 88 wrt n.
-72*a**3*n**3 - 38592*a*n**3
Differentiate -472098*v**2 + 505763 wrt v.
-944196*v
What is the third derivative of 79*t**5 - 286*t**4 - 3*t**2 - 2719*t wrt t?
4740*t**2 - 6864*t
Find the second derivative of 6*f**4 + 7957*f**3 - 2*f - 229437.
72*f**2 + 47742*f
Find the third derivative of -3506912*m**3 + 3*m**2 - 75*m - 2119 wrt m.
-21041472
What is the second derivative of -11481*h**3 + 3*h + 1916?
-68886*h
What is the first derivative of -3788964*a - 3845567 wrt a?
-3788964
Differentiate -4*l**3 + l**2 + 2573*l + 290379 with respect to l.
-12*l**2 + 2*l + 2573
Find the third derivative of -2005781*g**5 + 252450*g**2 wrt g.
-120346860*g**2
What is the third derivative of -4*c**5 - 434*c**4 + 18*c**3 + 21322*c**2 wrt c?
-240*c**2 - 10416*c + 108
What is the derivativ | {
"pile_set_name": "DM Mathematics"
} |
*z, n + 18 = -4*z. Let i(t) = -t**3 - 15*t**2 - 15*t + 5. What is the remainder when 56 is divided by i(n)?
18
Suppose x - 1 = -0*x - 3*q, 0 = 5*x + 2*q - 44. Calculate the remainder when 19 is divided by x.
9
Let i(n) = -n**2 + 10*n - 8. Calculate the remainder when 75 is divided by i(6).
11
What is the remainder when 8/(-2) + 539/11 is divided by 8?
5
Suppose 4*l = -l + 3*j + 126, -78 = -3*l + j. Calculate the remainder when l is divided by 14.
13
Suppose -2*a + 54 = -2*n, 2*a + 3*n = -3 + 32. What is the remainder when 85 is divided by a?
19
Let x be 54/13 + 2/(-13). Let j = x + 0. What is the remainder when 6 is divided by j?
2
Let d(q) = -q**2 + 10*q + 1. Let x be d(10). Suppose m = 3 + x. Calculate the remainder when 11 is divided by m.
3
Let m = 65 + -100. Let d = m + 58. Calculate the remainder when d is divided by 12.
11
Let p(m) = m**2 + 3*m - 2. Let q be p(-4). Let a be 2 + 0 + q/(-2). What is the remainder when (38/8)/(a/4) is divided by 10?
9
Suppose 3*g + 3 = 9, 2*f - 40 = -5*g. Suppose -4*j + 4*w + 80 = 0, -3*w + f = 4*j - 2*j. Calculate the remainder when 29 is divided by j.
14
Suppose -3*j + 5*w + 53 = 0, -4*j - 2*w + 90 = w. What is the remainder when 62 is divided by j?
20
Let s be 6/(-9) - 69/(-9). Suppose -s = -4*t + 133. Suppose 0 = -5*i + t. Calculate the remainder when 12 is divided by i.
5
Suppose -3*d - 98 = -3*l + 10, 0 = -3*l - d + 120. Suppose 0*x + 5*v = x + 20, x + 16 = 4*v. Let n(t) = t + 14. What is the remainder when l is divided by n(x)?
11
Let g(h) = h + 19. Let p = -9 + 0. Calculate the remainder when 29 is divided by g(p).
9
Let a be 6/(-27) + (-292)/(-18). Let o = a + -10. What is the remainder when 21 + 4*3/o is divided by 8?
7
Let z(l) = -l**2 - 9*l - 10. Let m be z(-8). What is the remainder when m/8 - 222/(-24) is divided by 3?
0
Suppose -2*s - 3*l = -47, -s = 4*s - 2*l - 70. What is the remainder when 31 is divided by s?
15
Calculate the remainder when 28 is divided by -3*(-3)/((-36)/(-40)).
8
Let t = 25 - -18. Suppose 5*g = -5*k - 50 + 195, 0 = -2*k + 3*g + t. Let r(i) = i**2 + 6*i + 9. What is the remainder when k is divided by r(-6)?
8
Let f(o) = 2*o**2 + 7*o - 2. Let w be (-18)/4 + 2/(-4). What is the remainder when 50 is divided by f(w)?
11
Calculate the remainder when 11 is divided by 4 - (-3 + 4 + -3).
5
Let k = 3 - -1. Let i be (-2 + 48)*-1*-1. Suppose -g - 51 = -k*v, -1 - i = -4*v + 5*g. What is the remainder when v is divided by 4?
1
Suppose -5*d + d = -20. Let v(j) = 3*j + 5*j**2 + 2*j**3 - 3*j**3 + 0*j + 2 + 0. What is the remainder when v(d) is divided by 6?
5
Suppose -5*n = -2*s + 45, -4*n = -5*s - n + 65. Let g = -8 + 25. What is the remainder when g is divided by s?
7
Suppose 12*z - 85 = 7*z. Calculate the remainder when 47 is divided by z.
13
Let i(p) = -5*p - 18. Calculate the remainder when 58 is divided by i(-6).
10
Suppose -4*b + 197 = 45. Suppose -21*j = -19*j - b. Let h(o) = 10*o**2. Calculate the remainder when j is divided by h(-1).
9
Let f = -6 + 10. Let s(j) = -j + 2. Let m be s(f). Let d(l) = l**3 + 2*l**2 - 2*l - 1. Calculate the remainder when 7 is divided by d(m).
1
Let f be (12/(-10))/((-2)/5). Suppose m + 3*r = -8, f*m = 6*m - 5*r - 46. What is the remainder when 20 is divided by m?
6
Let b(n) = -n - 2. Let a be b(-3). Let k = -1 - a. What is the remainder when 23 is divided by k/13 - 424/(-52)?
7
Let d = 97 - 45. Suppose 4*t + d = -56. What is the remainder when 2/((-6)/t) + 0 is divided by 5?
4
Let b(t) = t - 2. Let x be 115/20 - (-2)/8. Let y = x + -3. Calculate the remainder when 1 is divided by b(y).
0
Suppose -4*x + 6 = m - 3, 2*m = 3*x - 4. Suppose -x + 4 = 2*c. Calculate the remainder when 1 is divided by c.
0
Let u be -1 + -2 - (-5)/1. Suppose -m = -u, -2*m - 11 = -n + 3*m. What is the remainder when n is divided by 6?
3
Let u(r) = -11*r**3 + 2*r + 1. Let y(p) be the second derivative of p**5/4 - p**4/3 + p**3/2 - p**2 + 3*p. What is the remainder when y(2) is divided by u(-1)?
8
Let q be (1/(-1))/((-2)/2). What is the remainder when 47 is divided by (q + 0)/(2/24)?
11
Suppose -2*w + 1 = -3. Let l(r) = -r + 1 + w*r**2 - 5*r + 5. What is the remainder when l(4) is divided by 8?
6
Suppose -3*g - i + 0*i = -88, 3*g + 2*i = 83. Let c(a) be the first derivative of -a**4/4 + 5*a**3/3 - a - 2. Calculate the remainder when g is divided by c(2).
9
What is the remainder when (-8)/(-1) + -4 - -25 is divided by 16?
13
Let k(n) = n**2 + 3*n + 3. Calculate the remainder when 11 is divided by k(-3).
2
Let b(t) = 0*t**2 + 8 - 1 + 5*t**2 - 3*t - 4*t**2. What is the remainder when b(7) is divided by 19?
16
Suppose 3*g - 104 = -3*t - t, 4*t - 104 = -5*g. Let d(l) = l**2 - 2. Calculate the remainder when t is divided by d(-3).
5
Suppose -4*d = -9*q + 4*q + 10, -5*q - 2*d + 10 = 0. Let p be q/(-3)*3 - -2. Suppose 12 = -p*u + 4*u. What is the remainder when 7 is divided by u?
1
Suppose z - 144 = -3*i + 12, -4*z = 12. What is the remainder when 154 is divided by i?
48
Let u(q) = -5*q - 1. Let c be u(-1). Suppose -2 = c*t - 14. What is the remainder when 5 is divided by t?
2
Let n(i) = 50*i**2 + i - 1. Suppose -9 = 2*s - 85. Let z = s + -21. What is the remainder when n(1) is divided by z?
16
Suppose -f = -4*y - 14, -y = -2*f + 4*f - 1. Suppose 0 = -f*g - 0*g + 14. Calculate the remainder when 27 is divided by g.
6
Let g be (-4 - -3)*4 + -1. Let t be (-6)/(((-45)/6)/g). Calculate the remainder when 19 is divided by (-6)/(-4) + (-38)/t.
8
Let a = 6 - 3. Calculate the remainder when -1 + -1 + 1 + 12 is divided by (-1)/a + 19/3.
5
Let w(b) = b**2 + 3*b + 2. Let k be w(-2). Suppose k*j + 2*j = 60. Calculate the remainder when j is divided by 16.
14
Let q = 20 + -4. Calculate the remainder when 62 is divided by q.
14
Suppose -2*a = -i + 9, -4*i = a - 5*i + 5. Let y(o) = -3*o - 7. Calculate the remainder when 16 is divided by y(a).
1
Suppose 10*x - 7*x = 36. What is the remainder when ((-68)/(-10))/(2/10) is divided by x?
10
Let q = 138 - 85. Calculate the remainder when q is divided by 28.
25
Suppose 0 = -f - 0*f + 8. Suppose 0 = 7*a - 3*a - f. Calculate the remainder when a/(-4)*(1 + -39) is divided by 10.
9
Suppose 20 - 3 = o. Suppose 2*q = 4*k - 36, -5*k + 4*q + 42 + 3 = 0. Suppose 5*a + k = -g, 4*a - a = g - 15. Calculate the remainder when o is divided by g.
5
Suppose 5*t - 40 = -5*c, -2*c + 28 = -t - 0*t. Suppose h + 11 - 33 = 0. What is the remainder when h is divided by c?
10
What is the remainder when 48 is divided by 1*5/(-10)*12*-3?
12
Let v(q) = -q**2 + 6*q - 5. Let i be v(4). Suppose 0 = -4*k - 2*p + 124 + 10, -102 = -i*k - 2*p. What is the remainder when k is divided by 1*2/(-4)*-22?
10
Let u(o) = -3*o**2 - 4*o + 1. Let a(p) = -4*p**2 - 4*p. Let v(h) = -4*a(h) + 5*u(h). What is the remainder when 50 is divided by v(6)?
16
Suppose 0*s + 4 = s. Calculate the remainder when 15 is divided by s.
3
Suppose o + 21 = 4*o. What is the remainder when 17 is divided by o?
3
Let y = -2 + 2. Suppose -3*r + 5*x + 0*x + 8 = y, -2 = -2*r + 5*x. What is the remainder when r is divided by 4?
2
Let k(p) = p**3 - 14*p**2 + 2*p - 17. What is the remainder when 21 is divided by k(14)?
10
Suppose 3*j - 5*j + 20 = 0. What is the remainder when 27 is divided by j?
7
Let x = 7 - 4. Let v = -47 - -48. Calculate the remainder when x is divided by v.
0
Let d(n) = n**3 + 13*n**2 - 15*n + 13. Let l be d(-14). Let x = l + 8. What is the remainder when x is divided by 9?
8
Let t(v) = 4*v**3 + v**2 + v + 4. Let h(k) = -3*k**3 - 2*k**2 - 2*k - 3. Let w(s) = 3*h(s) + 2*t(s). What is the remainder when w(-4) is divided by 8?
7
What is the remainder when (-1496)/(-238) - 2*2/14 is divided by 6?
0
Let c(j) = j**3 + 1. Let a be c(-2). What is the remainder when ((-1)/2)/(2/(-108)) is divided by 31/3 - a/(-21)?
7
Let j(h) = -h**2 - 8*h - 9. Let o be j(-6). Suppose -o*x + 4*x = 14. Let s = 44 - 3. What is the remainder when s is divided by x?
13
Let t = 14 - 8. Let d(p) = p**2 + p + 16. Suppose -9*i = -4*i. Calculate the remainder when d(i) is divided by t.
4
Suppose 0*b + 96 = 2*b. What is the remainder when b is divided by 13?
9
Suppose 0*q - 4*q + 648 = 4*b, 3*b - 491 = 2*q. Calculate the remainder when b is divided by 33.
31
Suppose u = 2 + 11. Calculate the remainder when 25 is divided by u.
12
Let z(b) = | {
"pile_set_name": "DM Mathematics"
} |
?
79544.38591
What is the difference between 2112865615 and 1754?
2112863861
Put together -340238927 and -8.32.
-340238935.32
-70491161 + -1228308
-71719469
Work out 3568.84524 + 3307.
6875.84524
97134 + 138.468969
97272.468969
Calculate 312387.6 - 671306.
-358918.4
What is -6074393.97 minus -0.084?
-6074393.886
Work out -0.03 + -696641285758.
-696641285758.03
Subtract -4 from -12152575832673.
-12152575832669
What is 0.022 - -4035979220868?
4035979220868.022
Add together 664 and 6477442236.2.
6477442900.2
What is the distance between -3 and -43835213067?
43835213064
What is -2218471511765 take away -0.01?
-2218471511764.99
What is 0.876587193 take away -6.8671?
7.743687193
What is -0.02 + -10363604086?
-10363604086.02
Work out -1355264827666 - 0.4.
-1355264827666.4
Put together 290355994 and -6608.
290349386
What is -40234553 plus 2346458?
-37888095
Add 296287197348501 and -0.4.
296287197348500.6
Put together -0.27 and 2033534998797.
2033534998796.73
Total of 245367.31 and 45.8693.
245413.1793
3.04921 + -930.01
-926.96079
What is the distance between 1 and -303653986.55339?
303653987.55339
What is 1 + 129753562.426?
129753563.426
Calculate 42944621735.9 - 2.
42944621733.9
-6860677197168 - -0.2
-6860677197167.8
57637642.6 - -0.092994
57637642.692994
What is 1.713480173 - 18.89?
-17.176519827
What is the distance between 261880.334429 and -28?
261908.334429
Sum -4.701245 and 5144.
5139.298755
Add -10350425804093.6 and 2.
-10350425804091.6
-4515214577 - -1363.24
-4515213213.76
What is -36802629.78399 less than 209?
36802838.78399
0.2 - 9331504680
-9331504679.8
Put together -0.1227439736 and -1374.
-1374.1227439736
Subtract -354 from -1759356849.
-1759356495
4+563924561175
563924561179
What is 363626782 less than 20.86?
-363626761.14
Add -2 and -1968596.9006144.
-1968598.9006144
Work out 26 + -322124015.
-322123989
Total of 22823.51832662 and -0.4.
22823.11832662
What is -759.57 take away 2313396583?
-2313397342.57
What is -0.22585944717 minus 0.9859?
-1.21175944717
Add -19 and 3945826442086.
3945826442067
4568+13132.40235
17700.40235
-21563.635 - 0.0267002
-21563.6617002
Total of 2374.18 and 922660.22.
925034.4
Subtract -0.432548 from -19659770.
-19659769.567452
What is 43406235221 take away -3270?
43406238491
What is the distance between 2984585.42 and -0.0655?
2984585.4855
What is 0.4 - -1742072170730?
1742072170730.4
Sum -3229910585 and 2716.
-3229907869
What is -185387076539.26 minus -0.13?
-185387076539.13
Subtract -92 from 1.0721585157.
93.0721585157
Subtract 2.7 from 0.31778894.
-2.38221106
What is 59037576 minus 496.07?
59037079.93
Subtract -39529579 from -160.949.
39529418.051
What is 26906 take away 14532945?
-14506039
Total of 0.06323525 and 85545.
85545.06323525
What is -35474455.324718 less than -0.3?
35474455.024718
Subtract -0.2646232 from -12966.88.
-12966.6153768
What is -8739645 minus -1843?
-8737802
-2332.1152129+-6368
-8700.1152129
41+33184009353232
33184009353273
Subtract -3.64103759 from -76192.
-76188.35896241
What is -110627029383 take away 3?
-110627029386
Add -0.131 and 20.90964805.
20.77864805
Add -0.0365436 and -334284802.
-334284802.0365436
Sum -0.47129755399 and 0.05.
-0.42129755399
Calculate -44213080.912 - -0.6.
-44213080.312
251403950+-2402
251401548
29453238 + -21037426
8415812
Put together -10 and -0.7962352990467.
-10.7962352990467
-37369079899 - 646
-37369080545
What is 0.0690392 minus 288822?
-288821.9309608
What is the distance between 1 and -15060593556482?
15060593556483
Calculate 457.883665 - 2755.1.
-2297.216335
What is 0.07267 take away -16731051?
16731051.07267
Work out 3177.8 - 4893794.
-4890616.2
-0.1121 - -2259163225
2259163224.8879
Put together 0.0497 and -1372441117.
-1372441116.9503
What is -2 minus 19101546779860?
-19101546779862
Put together 5.1947 and 15.881399.
21.076099
Calculate 24331342 - -0.6732.
24331342.6732
Subtract -27076 from -0.01639771.
27075.98360229
Sum 79 and 0.7248769283687.
79.7248769283687
Work out -2 + 74023064106.
74023064104
Work out 117699260.6 - -0.158331.
117699260.758331
What is -0.03621 less than -0.501860213?
-0.465650213
Add together 704.2807045 and -1.9.
702.3807045
What is -1094313127474.8 + -0.1?
-1094313127474.9
What is 1.8256651994 - 470.7?
-468.8743348006
Work out -0.0974334 - -279409631.
279409630.9025666
Calculate -4.254 + -451481591.5.
-451481595.754
Subtract -1.83 from -4830.507756.
-4828.677756
What is -0.060295 less than -4.753369741?
-4.693074741
What is 0.1 plus -107859682575?
-107859682574.9
23499 + 56414347
56437846
What is -84.7 less than -0.92540107?
83.77459893
What is 486 take away -34101801537?
34101802023
What is the distance between -22987 and -16899985.85?
16876998.85
What is -7212 take away -7.94104899?
-7204.05895101
What is -33.43438 minus -2338828?
2338794.56562
Total of 1946502410 and 18.132.
1946502428.132
5871941558867.9 - 3
5871941558864.9
Add -0.0498802364969 and 327.
326.9501197635031
Total of 76228 and 19902859.
19979087
What is -220140.80625 minus 0.09481?
-220140.90106
Calculate 5574 - -5240324303.
5240329877
Total of -0.313 and -31435.88354.
-31436.19654
Put together -0.51930716705 and -17520.
-17520.51930716705
What is -345.932405 minus 2424?
-2769.932405
Work out 38841.546 - -0.0783.
38841.6243
Add -4 and -327008924618.
-327008924622
Sum 5 and 3515931958719.
3515931958724
Put together -977016296 and -1767.
-977018063
Work out 170 - -0.0765658129975.
170.0765658129975
What is the difference between -0.34249 and 3.486581?
3.829071
Calculate -35124.14 - 8.595.
-35132.735
What is -10107119934 + 64761?
-10107055173
What is 1.31 minus -38853924671?
38853924672.31
What is 172 take away -4980442837?
4980443009
What is 0.18 - 278714420362?
-278714420361.82
What is -4.8 take away 16623.21844896?
-16628.01844896
10 - -0.711441464437
10.711441464437
What is -1369607 + -0.77630155?
-1369607.77630155
Calculate 8066591509 + -0.298.
8066591508.702
What is 0.06711147 plus -27150?
-27149.93288853
What is the distance between -198716966.3391 and 0.3?
198716966.6391
What is the distance between 1875651226 and -2.573?
1875651228.573
Subtract 0.179783 from -3541.6699.
-3541.849683
Add together 4467.6 and -612108840.
-612104372.4
What is 149.8177111356 - -0.0231?
149.8408111356
6299 + -29982564
-29976265
-15195882765.2 - -103
-15195882662.2
Put together 0.0871618068 and -45080.
-45079.9128381932
-173259 - -1133.2121827
-172125.7878173
Subtract 23541 from -906.668304.
-24447.668304
Add together -4647 and 248096944.
248092297
What is 493 plus 6.4810606?
499.4810606
What is -5.5378981 take away 0.4389?
-5.9767981
Calculate -4 + 1701926260501.
1701926260497
What is 28913813601 less than 0.1?
-28913813600.9
What is -5560 + 5263683?
5258123
Work out 392 + 156724176537.
156724176929
Work out -114 - 8827968527460.
-8827968527574
-435417 - 4824.5
-440241.5
-177161.072 - -114.31
-177046.762
What is -95425 - -40887245?
40791820
Calculate -5 - 84170504700639.
-84170504700644
What is -0.172937 take away 6.035?
-6.207937
What is -3979630814 - 8970?
-3979639784
Add together -0.14022051546 and -0.252.
-0.39222051546
Add together 108249187264 and -0.1599.
108249187263.8401
What is -1.9 - -2125626.8574?
2125624.9574
What is 1732846 plus -528684?
1204162
Calculate -15449445 - -1524145.
-13925300
Work out 1338768.902323 - -7.
1338775.902323
Add together 21384437553 and -0.27.
21384437552.73
What is -153889754 minus -131797?
-153757957
26.894780505 + 1123
1149.894780505
What is 786 - 184865.15?
-184079.15
What is -816.4 minus -1643596054?
1643595237.6
Subtract -708535245.59 from -3.
708535242.59
Put together 0.2126 and -473.624527.
-473.411927
Add -13 and 0.2152582086967.
-12.7847417913033
-1237157+-54.47632
-1237211.47632
Add together 4094.414 and -0.1929174.
4094.2210826
Calculate 0.08 + 1175645358588.
1175645358588.08
-15.55 - 29.82153594
-45.37153594
What is -89160.36 plus 31538.128?
-57622.232
Total of -10223324.1682 and 54.
-10223270.1682
What is the difference between 944278 and -43133.4?
987411.4
Calculate -147305580123 - 0.0278.
-147305580123.0278
Put together 424 and -82.849407.
341.150593
Work out 7013701 + 2918.54.
7016619.54
What is the distance between 20698175 and 484138?
20214037
What is 5.161 plus 8622.93?
8628.091
Subtract 7893213520438 from -0.3. | {
"pile_set_name": "DM Mathematics"
} |
(b) z (c) u
c
Let d = -66/7 + 153/14. Suppose 3*s - 17 - 6 = -5*z, 0 = -2*s - z + 6. Suppose -4*t - s - 7 = 0. Which is the closest to t? (a) 5 (b) 3 (c) d
c
Suppose -5*g - 12 - 15 = 4*z, 2*g + 6 = 0. Let t = 0.1 + -0.1. Suppose -101*w + 16 = -105*w. What is the nearest to t in z, w, 3/2?
3/2
Suppose -2*w - 1 = 7. Suppose 0 = -4*g - 20, -2*q + g - 3*g = 8. Let k be q/((27/6)/(-1)). What is the nearest to 0.1 in w, k, 5?
k
Let q = 0.42 + -0.25. Let s = q + -0.1. Let o = 5.07 - s. What is the nearest to 2/7 in 3/5, o, -2?
3/5
Let k = -0.9 - -0.4. Let u be 1/(-1)*(-3)/5. Which is the closest to -2? (a) u (b) k (c) 0.1
b
Let x = -20 - -19. What is the nearest to 3/11 in -1/2, x, -0.1?
-0.1
Let f = 0.2 + -0.3. Let w = -0.63 - -0.13. Let z = -0.3 - w. Which is the closest to f? (a) 2 (b) -5 (c) z
c
Let o be 4/6 - 265/90. Let f = -7/9 - o. Let m = -0.1 + 0.2. What is the closest to m in 3, 1/6, f?
1/6
Let o be (8/42)/(4/(-18)). Let f = -2.05 + 0.05. Which is the nearest to -3? (a) o (b) 0.1 (c) f
c
Let p = 169 + -2199/13. Suppose 2*m = 4*x + 3*m + 2, -4*m - 8 = 0. Let k be (-2)/(-5) + (-22)/30. Which is the closest to x? (a) k (b) 5 (c) p
c
Let c = 52 + -52.1. Let w = 0.1 + -0.1. Let a = w + c. What is the closest to 1/2 in 4, a, 1/3?
1/3
Suppose 9 + 1 = 10*g. What is the closest to 1 in g, 1/6, 1/5?
g
Let s = 12 + -11. What is the closest to s in 0.1, -3, 0.4?
0.4
Let d = -75 - -72. Suppose 3*i - 10 = -2*i. Which is the closest to i? (a) -4 (b) -2 (c) d
b
Let v be 14*(-6)/(-108) + -1. Which is the nearest to 3? (a) v (b) 3/2 (c) 0.2
b
Let k = -7 + 3. Let m = -8/29 + 14/261. Which is the nearest to 2/3? (a) 3 (b) m (c) k
b
Suppose -6*u + 3*u - 3*k + 9 = 0, 0 = 4*u - 4*k + 12. Which is the closest to -1? (a) 2/7 (b) 4 (c) u
c
Let f(o) = -3*o**2 + 9*o - 3. Let j be f(7). Let g = j - -57. Let y be 2 - 5/(g/(-9)). Which is the closest to 1/4? (a) y (b) -1 (c) 2/3
a
Let a be ((3 - 1)/14)/1. What is the nearest to -1 in 0.3, 0.5, a?
a
Let j = 764 - 764.1. Let p be 1342/6 - (-2)/(-3). Let m = -1565/7 + p. What is the closest to j in m, -2, 4?
m
Let g = 0.68 - 0.78. Let u = 5.7 - 6. Let d = -1.3 - u. Which is the nearest to g? (a) -5 (b) 1/9 (c) d
b
Suppose 2*i - 2 = 3*i. Suppose -5 = 5*l - 4*d, -l + 2*d = -4*l - 3. Let c be ((-2)/(-4) + 0)/l. What is the closest to 0 in i, c, -1?
c
Suppose -4*z - 1 + 17 = -4*l, 0 = -5*l + 3*z - 12. Which is the nearest to l? (a) 0.4 (b) 5 (c) -1/2
a
Let f = 148 - 145.98. Let i = f - 0.02. Let b = 0 + 0.1. What is the nearest to -0.5 in 3, b, i?
b
Let n = 8.2 - 7.2. What is the nearest to n in 2, -1, -4/7?
2
Let g = -98 - -97. Let x = 0.3 + 0.2. Let d = -0.3 - 0.7. Which is the closest to g? (a) x (b) -0.1 (c) d
c
Suppose 0 = n - 0*n. Let i be 18/22 + -4 + 3. Let h = 19/44 + i. What is the nearest to n in -0.5, h, 0?
0
Let f(q) be the second derivative of -q**5/20 + q**4/3 - q**3/6 + 3*q**2/2 - q. Let t be f(4). What is the closest to t in -5, 1/7, 1?
1/7
Let v = -0.1 + -0.2. Let n = 6.2 + -6.3. Which is the closest to n? (a) -4 (b) 3 (c) v
c
Let u = 31.95 + -32. Which is the nearest to -0.2? (a) 5 (b) u (c) -0.3
c
Let l = -2.5 - -1.67. Let p = l - 0.17. Which is the nearest to -0.1? (a) 2 (b) p (c) -6/5
b
Let y be 1 - (-1 + 15/8). Let w = -141/5 - -28. Which is the nearest to 1? (a) w (b) -1/3 (c) y
c
Let v(k) = -k**2 + 1. Let y be v(1). Let z = -2/55 - 47/220. What is the closest to y in -1, -4, z?
z
Suppose -5*m + 3*d = 5 - 13, 3*d + 4 = 4*m. Let i = 31 - 30. What is the nearest to -2/3 in -3/7, m, i?
-3/7
Let x = -53 - -52.9. Which is the closest to -5? (a) -0.3 (b) x (c) -4
c
Let f(l) = l**2 + 6*l - 7. Let v be f(-8). Suppose -4*k + v*k + 4*s = 5, 17 = k + 4*s. Which is the closest to -1? (a) -2/9 (b) -4 (c) k
a
Let f = 0.3 - 5.3. Let r = 4 - 3.5. Which is the nearest to -0.3? (a) -2 (b) r (c) f
b
Let s = -2 - -4. Let o be (2/8)/(2/(-12)). Which is the nearest to 1? (a) -0.2 (b) s (c) o
b
Let m(v) = v**2 - 8*v + 4. Suppose r - 32 = -3*r. Let k be m(r). Let t = 14/3 + -5. Which is the closest to 0? (a) k (b) t (c) -0.5
b
Let l = -47 + 46. Let d(t) = t**3 - t**2 - t - 3. Let n be d(0). Which is the closest to l? (a) 4 (b) n (c) -8
b
Let t = -0.19 + -2.81. Let f = t - -2.6. What is the nearest to -3 in 0.1, 0.3, f?
f
Let i be (-1 - -1) + (0 - -2). Let w be 14*(16/14 - i). Let h be ((-3)/w*-3)/3. Which is the closest to 2/7? (a) -1/2 (b) h (c) -4
b
Let o = -23 + 28. Which is the nearest to -1? (a) o (b) 0 (c) -0.5
c
Let z = -7.3 - -12.3. Which is the nearest to 1? (a) z (b) -2 (c) -3/4
c
Suppose -3*g + 1050 = 5*f, 4*f - 200 = -2*g + 638. Let w = -1653/8 + f. What is the closest to -1 in w, 2/3, 1/8?
1/8
Let t = 4/21 - -22/105. Which is the nearest to -1? (a) t (b) -1 (c) -0.4
b
Let s = -2 - 0. Let u be (12/8)/((-3)/4). Let q be u - 11/(-3) - 1. Which is the nearest to q? (a) 0.2 (b) s (c) -5
a
Let j = -5.8 + 6. Let r = 0 - j. Let u be 20/15 + (2 - 3). What is the closest to u in r, 2, -2/13?
-2/13
Let c = 0.16 - 0.25. Let s = -0.49 - c. What is the closest to 0 in -2, -1/3, s?
-1/3
Let m = -3.5 + 3. Let g = -19 + -0.2. Let p = g - -19. What is the closest to p in m, 3, 0.2?
m
Let q = 0.21 + -0.71. Which is the closest to 0? (a) 0.1 (b) q (c) 0.2
a
Let d = -1873/7 + 268. Let l = 0.1 - 1.1. Let o = l - -1. Which is the closest to o? (a) -2/7 (b) 0.4 (c) d
a
Let z = -1 - -1.4. Let v be 100/(-28) - -4 - 72/70. What is the closest to z in -4, v, -1?
v
Suppose -2 = k + 4*y - 3, -4*k - y = -19. What is the closest to 2/5 in k, 1/5, 4?
1/5
Let v = 2398/9 - 266. What is the closest to -0.1 in v, 0.5, -2?
v
Let o be (-2 - -1) + (-3 - -2). Let k = 3.2 + -3. Which is the closest to -2/3? (a) k (b) -5 (c) o
a
Let o = -0.1 + -0.1. What is the nearest to o in 1/3, 0, 2?
0
Let f be (-2)/8 + (-9)/(-6). Let t = 67/4 + -17. What is the closest to 0 in f, t, -3/8?
t
Let o = -8.82 + -0.18. Let j = o + 8.8. Which is the nearest to 1? (a) j (b) -0.1 (c) -0.5
b
Let d = -138 - -138. Which is the nearest to -1/4? (a) d (b) -1/8 (c) -5
b
Suppose 3*w + l + 6 + 5 = 0, -25 = 5*l. Let m be (0 - w)*(-1 - -2). Let u be m/6 + (-14)/6. Which is the nearest to -0.2? (a) u (b) -5 (c) 1/6
c
Let l be 2/(-10) + 6248/165. Let v = l + -38. Let c = 0.1 + -0.2. What is the nearest to c in -0.5, v, 2?
v
Let w = 40 - 42. Let z(k) = k + 2. Let u be z(3). Which is the closest to w? (a) -1 (b) u (c) 1/2
a
Let t = 175/4 - 44. Let b = 4.197 - -0.003. Let y = b - 4. What is the closest to t in -4, y, -1?
y
Let y = 4.7 + -5. Let d = 37 + -24. Let k = 12.9 - d. Which is the nearest to 1/3? (a) -1 (b) k (c) y
b
Let b = 0.44 - 0.54. Let q = 148.08 + -151. Let l = q - 0.08. What is the closest to 0 in b, l, 1/2?
b
Let x be ((-12)/2)/(3*8/12). What is the nearest to -2/3 in -5, 0, x?
0
Let f = -562 + 11800/21. Let p = -19.1 + 19. What is the closest to p in -4/7, f, 1?
f
Let g(m) = -m - 1. Let u be g(5). Let c be 2/4 + u/(-4). Let t be c/(-7) + (-3 - -3). What is the closest to t in 2, 2/5, 0?
0
Let f be (1 + (-56)/60)*2. Which is the closest to -0.3? (a) -5 (b) -1/4 (c) f
b
Let r = 7.85 + -8. Let i = r + -0.05. What is the closest to 2/3 in i, 1/5, -2?
1/5
Let v = 35 + -36. Let s = 0.5 + 2.5. Let k = 6 - s. Which is the closest to v? (a) k (b) 1/5 (c) -2
c
Let r be (-2)/(-10) - (-4328)/(-2640). Let l be 3/(-3) + (-70)/(-66). Let p = l - r. What is the nearest to 2/7 in -5, p, -0.5?
-0.5
Let z(y) = y + 3. Let k be z(-4). Let w = -193/28 + 27/4. Let v be (-4)/5*(-9)/12. Which is the nearest to k? (a) v (b) w (c) 0.1
b
Suppose 2*x + 20 = 8. Let t be (1/2)/(x/(-3)). What is the closest to t in -2/9, 0.3, -2/3?
0.3
Let x = 305/3 + -102. Which is the closest to x? (a) -4 (b) -3 (c) 5
b
Let s = 0.1 - 0. Suppose 7*d - 3*d = 0. Suppose d*j - 4 = -2*j. Which is the closest to 1/2? (a) j (b) -2 (c) s
c
Let d = 6 - 4. Which is the closest to -1/4? (a) 3 (b) 1/4 (c) d
b
Let l = -163 - -161.06. Let d = -0.06 + l. Let f = 1 + d. Which is the closest to f? (a) -0.3 (b) 1/4 (c) -0.1
a
Let r = 144 - 143. Let z = 7 - 4. What is the closest to r in 5, z, 2/9?
2/9
Let j = -2.8 + 1.8. Let k = -13.33 - -0.33. Let t = 18 + k. What is the closest to 0 in -4, j, t?
j
Let | {
"pile_set_name": "DM Mathematics"
} |
2e7828
In base 16, what is -85e - -17e73?
17615
In base 4, what is 3202220 - -21232?
3230112
In base 13, what is -7 - -69b8c4?
69b8ba
In base 10, what is 199 - -527121?
527320
In base 4, what is -3 + -3230131102?
-3230131111
In base 6, what is -3235104 + 30133?
-3204531
In base 3, what is 1022122111021 - 10000?
1022122101021
In base 3, what is 22122112002 + -12002122?
22110102110
In base 5, what is -132021012 + -3?
-132021020
In base 4, what is -100310310 - 3?
-100310313
In base 11, what is -5a - 18796a?
-187a19
In base 15, what is -6559 - 2078?
-85d2
In base 7, what is -662034 - 136?
-662203
In base 10, what is -108116690 + -2?
-108116692
In base 16, what is -1d95c7 - -2?
-1d95c5
In base 7, what is 11 + -234164446?
-234164435
In base 4, what is -1203020300 + -30?
-1203020330
In base 10, what is 249 - 50295?
-50046
In base 11, what is 997 + -35522?
-34636
In base 15, what is -e16 - 1169?
-2080
In base 9, what is 361300 - 4?
361285
In base 2, what is -1011000111101100000001110 + 100?
-1011000111101100000001010
In base 3, what is 1201001 - 12211120102?
-12202212101
In base 2, what is -11011001000 + 1001100001000101010?
1001011101101100010
In base 5, what is 4024 + -102413?
-43334
In base 2, what is 1 + 1001001110010011110010?
1001001110010011110011
In base 7, what is -44215562 - -31?
-44215531
In base 11, what is 26671090 - 4?
26671087
In base 8, what is -3 - 1716017474?
-1716017477
In base 6, what is -3300222544 + -3?
-3300222551
In base 6, what is 115 - 3135402?
-3135243
In base 4, what is -1 + 2020100131?
2020100130
In base 6, what is 13514111 - -222?
13514333
In base 12, what is 2 + b99975?
b99977
In base 10, what is -28 - 294051?
-294079
In base 9, what is -63114 - 1285?
-64410
In base 6, what is 133552050 - -15?
133552105
In base 12, what is 1086ab8 + -1?
1086ab7
In base 7, what is 212112550 + 2?
212112552
In base 3, what is 10020020010 + 22011111?
10112101121
In base 8, what is -360 - 102666?
-103246
In base 8, what is 574400156 + -5?
574400151
In base 16, what is 54 + -1054?
-1000
In base 4, what is -13000 - -201220020?
201201020
In base 8, what is 5 - -13732063?
13732070
In base 8, what is 4 + -27167305?
-27167301
In base 11, what is 3a6174a5 + -1?
3a6174a4
In base 16, what is -225837e - 1?
-225837f
In base 16, what is -14e1d1bb + 3?
-14e1d1b8
In base 15, what is ec1 - -9ee7?
aeb8
In base 7, what is 66031 + -326?
65402
In base 4, what is -1 + -13103202221?
-13103202222
In base 11, what is 4 + 71021252?
71021256
In base 13, what is 39868c + 2a4?
398963
In base 11, what is 79834413 + -3?
79834410
In base 9, what is 4537307 + 144?
4537452
In base 8, what is -4 - -31004016?
31004012
In base 9, what is -173 + -111720?
-112003
In base 16, what is 3 + 11a7c6e?
11a7c71
In base 12, what is 10b - 192b60?
-192a51
In base 8, what is -16506 - 322?
-17030
In base 11, what is 5232 + -490?
4852
In base 7, what is -13 - -43206153?
43206140
In base 10, what is -10 + 45921989?
45921979
In base 12, what is -407 + -8561?
-8968
In base 3, what is 111011111101 - 11?
111011111020
In base 7, what is 11 - -3514510?
3514521
In base 12, what is 123 - 2174b?
-21628
In base 9, what is -44303 + -846?
-45250
In base 7, what is 44301 + -3432?
40536
In base 3, what is -10101221 + 2001021010?
1220212012
In base 5, what is -3133301014 + -20?
-3133301034
In base 11, what is 45a219a + -3?
45a2197
In base 6, what is -54 + 12313500?
12313402
In base 16, what is -1 - -38bf02?
38bf01
In base 7, what is 2513162 + 303?
2513465
In base 12, what is -2b1 - 657ab?
-65aa0
In base 9, what is -134211681 + 2?
-134211678
In base 12, what is -14710 + 34a?
-14382
In base 13, what is -49aba9c - 3?
-49abaa2
In base 2, what is 11100110011101111010 + 1110100?
11100110011111101110
In base 14, what is -c2acbc - 10b?
-c2adc9
In base 7, what is -1504 - -515313?
513506
In base 12, what is 1a2 - -20159?
2033b
In base 5, what is 112213 + 3221?
120434
In base 7, what is -4634 - -205512?
200545
In base 6, what is 12055452 + 4?
12055500
In base 16, what is 20 + -3f76ce?
-3f76ae
In base 12, what is -8455 - -b0?
-8365
In base 3, what is -10000 - -2022020200?
2022010200
In base 12, what is 2 - 7a8456?
-7a8454
In base 11, what is -4 - 5460332?
-5460336
In base 13, what is -50 - 250a9?
-25129
In base 8, what is 2576621 + 170?
2577011
In base 16, what is -129815b + b?
-1298150
In base 11, what is -2143681a + 3?
-21436817
In base 8, what is 32 - 4242720?
-4242666
In base 10, what is -9712089 + -4?
-9712093
In base 6, what is 1112 - 31315?
-30203
In base 11, what is -1 + -15a0021?
-15a0022
In base 6, what is -400 - 30421355?
-30422155
In base 2, what is 101011101101000000011111110 - 10?
101011101101000000011111100
In base 3, what is -1 - 21020221010120?
-21020221010121
In base 14, what is -2a1 + -4703?
-49a4
In base 6, what is 1234232 - -13?
1234245
In base 8, what is 1345 + 111515?
113062
In base 2, what is -100 + -1000110111001011111101011?
-1000110111001011111101111
In base 4, what is -2 - -32203231332230?
32203231332222
In base 11, what is 551 + 35941?
36392
In base 13, what is -29255b - b?
-292569
In base 10, what is -1487132140 - 0?
-1487132140
In base 6, what is -1141444 + 2411?
-1135033
In base 5, what is -314 + -1412200?
-1413014
In base 6, what is 3110000015 + 30?
3110000045
In base 5, what is -143 + 10124004?
10123311
In base 9, what is 2 - 24508202?
-24508200
In base 5, what is 14344 + -4403121?
-4333222
In base 4, what is 123323 - 10313110?
-10123121
In base 10, what is 82679299 + 3?
82679302
In base 16, what is a4c35 - 2a?
a4c0b
In base 8, what is -274 + 535314?
535020
In base 12, what is 1333711 + -5?
1333708
In base 11, what is 0 + 35325769?
35325769
In base 8, what is -24 + 5053040?
5053014
In base 12, what is 9 - -1762362?
176236b
In base 11, what is -1061aa9 + 27?
-1061a82
In base 4, what is 122210 + -323333?
-201123
In base 9, what is 10 + -1870120?
-1870110
In base 10, what is 30 - 10901?
-10871
In base 3, what is 12102220012 - -1210120?
12111200202
In base 4, what is 10003120212001 - 2?
10003120211333
In base 9, what is 181115173 - 3?
181115170
In base 7, what is 52332012 - 11?
52332001
In base 13, what is 665a + -c1c?
573b
In base 12, what is -129a9979 + 5?
-129a9974
In base 14, what is -7 + 484701?
4846d8
In base 2, what is 101011110 - 11001101010001100?
-11001100100101110
In base 16, what is 0 - -2a126c?
2a126c
In base 13, what is 34 - 4b7c49?
-4b7c15
In base 14, what is 8 - 39230b?
-392303
In base 5, what is -104 - -1001121000?
1001120341
In base 6, what is 0 + -2133021?
-2133021
In base 8, what is 21 + -2301575?
-2301554
In base 13, what is -1151c515 + 0?
-1151c515
In base 11, what is 21208 + -698?
20620
In base 5, what is -3003441 + 4212?
-2444224
In base 9, what is -2 + -22808071?
-22808073
In base 9, what is -5538136 + 2?
-5538134
In base 3, what is 12120222 + 2022111?
21220110
In base 4, what is -10 + -1132333202331?
-1132333203001
In base 12, what is -3b3a5 - 25?
-3b40a
In base 14, what is -2 - -a2d938c?
a2d938a
In base 8, what is 224 - 56310?
-56064
In base 6, what is 33 - -25351254?
25351331
In base 10, what is 3 + -46743800?
-46743797
In base 13, what is a5a - -21180?
21c0a
In base 8, what is 34130246 - 3?
34130243
In base 2, what is 111000011011 - 10010100001000110?
-10001101000101011
In base 6, what is 243023 + -153?
242430
In base 7, what is 16630364 - -36?
16630433
In base 4, what is 2230 - -13132021?
13200311
In base 5, what is 33 + -40301222014?
-40301221431
In base 9, what is 4 + -154741145?
-154741141
In base 7, what is -103462563 - -24?
-103462536
In base 14, what is -2 - 4c7927?
-4c7929
In base 7, what is -36324 - -12045?
-24246
In base 12, what is -85b63654 + 1?
-85b63653
In base 15, what is -6ae7 + -1d7?
-6cce
In base 6, what is -1235544055 - -132?
-1235543523
In base 11, what is -1119490 - -34?
-1119457
In base 10, what is -298 + 256508?
256210
In base 5, what is 132413400 + -434?
132412411
In base 6, what is 2 + 1345343232?
1345343234
In base 3, what is -10020121211111222 + -2?
-10020121211112001
In base 8, what is -26 - 141617537?
-141617565
In base 16, what is -2 + 38fdc58?
38fdc56
In base 5, what is 30314041101 - 1?
30314041100
In base 16, what is 8 + -1152f4?
-1152ec
In base 15, what is -1d8e - 2551a?
-273a9
In base 11, what is -611 + 323a73?
323462
In ba | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 2277.
3, 11, 23
List the prime factors of 76998.
2, 3, 41, 313
What are the prime factors of 19324?
2, 4831
What are the prime factors of 898?
2, 449
What are the prime factors of 79490?
2, 5, 7949
What are the prime factors of 32411?
32411
What are the prime factors of 26722?
2, 31, 431
List the prime factors of 7581.
3, 7, 19
List the prime factors of 61186.
2, 30593
What are the prime factors of 1138?
2, 569
List the prime factors of 15071.
7, 2153
List the prime factors of 2601.
3, 17
What are the prime factors of 1745?
5, 349
List the prime factors of 77748.
2, 3, 11, 19, 31
What are the prime factors of 196?
2, 7
List the prime factors of 77404.
2, 37, 523
List the prime factors of 15071.
7, 2153
What are the prime factors of 1877?
1877
What are the prime factors of 1301?
1301
What are the prime factors of 1896?
2, 3, 79
List the prime factors of 757.
757
What are the prime factors of 13732?
2, 3433
List the prime factors of 14624.
2, 457
What are the prime factors of 20767?
19, 1093
List the prime factors of 11279.
11279
List the prime factors of 12432.
2, 3, 7, 37
What are the prime factors of 12361?
47, 263
What are the prime factors of 3653?
13, 281
List the prime factors of 14083.
14083
List the prime factors of 9341.
9341
List the prime factors of 27467.
11, 227
What are the prime factors of 817?
19, 43
List the prime factors of 42598.
2, 19, 59
List the prime factors of 40217.
131, 307
What are the prime factors of 17200?
2, 5, 43
List the prime factors of 1967.
7, 281
List the prime factors of 75991.
75991
List the prime factors of 965.
5, 193
What are the prime factors of 112078?
2, 56039
List the prime factors of 654.
2, 3, 109
What are the prime factors of 5827?
5827
List the prime factors of 9420.
2, 3, 5, 157
What are the prime factors of 4396?
2, 7, 157
What are the prime factors of 30034?
2, 15017
List the prime factors of 1002.
2, 3, 167
What are the prime factors of 955?
5, 191
What are the prime factors of 1079?
13, 83
List the prime factors of 2901.
3, 967
What are the prime factors of 1547?
7, 13, 17
List the prime factors of 190.
2, 5, 19
List the prime factors of 133959.
3, 7, 6379
List the prime factors of 8853.
3, 13, 227
What are the prime factors of 11937?
3, 23, 173
List the prime factors of 9271.
73, 127
List the prime factors of 23107.
7, 3301
List the prime factors of 1329.
3, 443
List the prime factors of 6195.
3, 5, 7, 59
What are the prime factors of 6315?
3, 5, 421
What are the prime factors of 2088?
2, 3, 29
What are the prime factors of 19536?
2, 3, 11, 37
What are the prime factors of 10903?
10903
List the prime factors of 31854.
2, 3, 5309
What are the prime factors of 276?
2, 3, 23
List the prime factors of 686.
2, 7
List the prime factors of 121803.
3, 11, 3691
What are the prime factors of 1325?
5, 53
What are the prime factors of 2480?
2, 5, 31
List the prime factors of 54397.
7, 19, 409
What are the prime factors of 69?
3, 23
List the prime factors of 599.
599
What are the prime factors of 1388?
2, 347
List the prime factors of 2733.
3, 911
What are the prime factors of 621?
3, 23
What are the prime factors of 71929?
11, 13, 503
List the prime factors of 6750.
2, 3, 5
What are the prime factors of 15555?
3, 5, 17, 61
List the prime factors of 671.
11, 61
List the prime factors of 10172.
2, 2543
List the prime factors of 1521.
3, 13
What are the prime factors of 2757?
3, 919
What are the prime factors of 85?
5, 17
What are the prime factors of 10237?
29, 353
List the prime factors of 2067.
3, 13, 53
List the prime factors of 773.
773
List the prime factors of 2060.
2, 5, 103
List the prime factors of 11870.
2, 5, 1187
List the prime factors of 2293.
2293
What are the prime factors of 12356?
2, 3089
List the prime factors of 26243.
7, 23, 163
What are the prime factors of 73278?
2, 3, 23, 59
What are the prime factors of 4268?
2, 11, 97
List the prime factors of 917.
7, 131
List the prime factors of 871.
13, 67
List the prime factors of 9981.
3, 1109
What are the prime factors of 7727?
7727
List the prime factors of 18593.
18593
List the prime factors of 736.
2, 23
What are the prime factors of 381?
3, 127
List the prime factors of 7607.
7607
What are the prime factors of 4656?
2, 3, 97
List the prime factors of 73929.
3, 19, 1297
What are the prime factors of 460?
2, 5, 23
List the prime factors of 97179.
3, 29, 1117
List the prime factors of 109526.
2, 23, 2381
What are the prime factors of 4372?
2, 1093
What are the prime factors of 12501?
3, 463
What are the prime factors of 6309?
3, 701
What are the prime factors of 4718?
2, 7, 337
What are the prime factors of 92803?
17, 53, 103
List the prime factors of 52159.
43, 1213
List the prime factors of 510.
2, 3, 5, 17
What are the prime factors of 13848?
2, 3, 577
List the prime factors of 2507.
23, 109
List the prime factors of 60944.
2, 13, 293
What are the prime factors of 57221?
57221
What are the prime factors of 1647?
3, 61
List the prime factors of 8096.
2, 11, 23
What are the prime factors of 5872?
2, 367
What are the prime factors of 10?
2, 5
List the prime factors of 71169.
3, 7, 3389
What are the prime factors of 77001?
3, 25667
List the prime factors of 7637.
7, 1091
List the prime factors of 10713.
3, 3571
What are the prime factors of 46812?
2, 3, 47, 83
List the prime factors of 2167.
11, 197
List the prime factors of 794.
2, 397
What are the prime factors of 8023?
71, 113
What are the prime factors of 14662?
2, 7331
What are the prime factors of 4622?
2, 2311
What are the prime factors of 497?
7, 71
List the prime factors of 1130.
2, 5, 113
What are the prime factors of 16652?
2, 23, 181
List the prime factors of 6799.
13, 523
What are the prime factors of 607?
607
What are the prime factors of 2421?
3, 269
List the prime factors of 2590.
2, 5, 7, 37
What are the prime factors of 1556?
2, 389
List the prime factors of 7991.
61, 131
List the prime factors of 26382.
2, 3, 4397
List the prime factors of 4989.
3, 1663
What are the prime factors of 13873?
13873
List the prime factors of 3601.
13, 277
What are the prime factors of 7842?
2, 3, 1307
List the prime factors of 979.
11, 89
List the prime factors of 8434.
2, 4217
List the prime factors of 51545.
5, 13, 61
List the prime factors of 311.
311
What are the prime factors of 9772?
2, 7, 349
List the prime factors of 2126.
2, 1063
List the prime factors of 50141.
7, 13, 19, 29
What are the prime factors of 10328?
2, 1291
What are the prime factors of 5690?
2, 5, 569
What are the prime factors of 3223?
11, 293
What are the prime factors of 25949?
7, 11, 337
What are the prime factors of 5207?
41, 127
List the prime factors of 87538.
2, 11, 23, 173
List the prime factors of 31661.
7, 4523
List the prime factors of 45070.
2, 5, 4507
What are the prime factors of 878?
2, 439
List the prime factors of 6262.
2, 31, 101
List the prime factors of 7975.
5, 11, 29
What are the prime factors of 15511?
15511
What are the prime factors of 1027?
13, 79
List the prime factors of 15441.
3, 5147
What are the prime factors of 13650?
2, 3, 5, 7, 13
List the prime factors of 22007.
59, 373
List the prime factors of 18278.
2, 13, 19, 37
List the prime factors of 9382.
2, 4691
List the prime factors of 30526.
2, 15263
What are the prime factors of 3151?
23, 137
What are the prime factors of 7895?
5, 1579
What are the prime factors of 123?
3, 41
List the prime factors of 13805.
5, 11, 251
List the prime factors of 1607.
1607
What are the prime factors of 4941?
3, 61
List the prime factors of 98.
2, 7
What are the prime factors of 16?
2
What are the prime factors of 74?
2, 37
List the prime factors of 4092.
2, 3, 11, 31
What are the prime factors of 1237?
1237
List the prime factors of 1084.
2, 271
List the prime factors of 29019.
3, 17, 569
What are the prime factors of 2198?
2, 7, 157
What are the prime factors of 2688?
2, 3, 7
What are the prime factors of 9095?
5, 17, 107
List the prime factors of 1281.
3, 7, 61
List the prime factors of 475.
5, 19
List the prime factors of 2813.
29, 97
What are the prime factors of 7332?
2, 3, 13, 47
What are the prime factors of 26423?
26423
What are the prime factors of 11775?
3, 5, 157
List the prime factors of 3495.
3, 5, 233
What are the | {
"pile_set_name": "DM Mathematics"
} |
- l. Calculate the highest common factor of g and w.
11
Let y be (-9)/(-6)*10/3. Suppose 3*f + 4*a = 75, 2*f - 76 = -y*a - 19. What is the greatest common factor of 14 and f?
7
Suppose -12 = -6*r + 3*r. Suppose r*w - 5 = 5*t + 4, 2*w - 6 = 2*t. Suppose -5*q = n - w, 0 = 2*q + 3 - 1. Calculate the highest common divisor of n and 99.
11
Let a = -175 + 474. What is the greatest common factor of 115 and a?
23
Let w be 80/(-15)*9/(-12). Calculate the highest common divisor of 14 and w.
2
Suppose 5*y = -r + 36, 5 = y + 4*r + 13. Suppose h + 2*h = v + 31, -2*h - 5*v = -49. Calculate the greatest common factor of y and h.
4
Suppose -3*t + 308 + 286 = 0. Let w = -29 - -31. Suppose -6 = w*h, 4*h - 35 = -4*b + 41. What is the highest common divisor of b and t?
22
Suppose 5*u + 4*b = 3*b + 16, -3*u - 4 = 4*b. Suppose -3*k + u*n = -49, 2*k - n - 30 = n. What is the highest common factor of 44 and k?
11
Let t(o) = 4*o**2 + 2*o - 2. Let k be 12/15*15/(-6). Let x be t(k). Let f be 2/10 + 108/x. What is the highest common divisor of 99 and f?
11
Suppose 0*k + 2*k = -4. Let q(c) = 3 - 4*c + 2*c**2 + 3 - 4 - 5. Let x be q(k). Calculate the highest common factor of x and 52.
13
Suppose 0 = -5*v - v + 12. Let y = -60 + 101. Let p = y - 27. Calculate the highest common divisor of v and p.
2
Let w = 160 + -132. Let u(z) = z**3 - 3*z**2 + 4*z. Let g be u(5). What is the greatest common factor of g and w?
14
Let u be (-146)/(-4) + (-3)/2. Let h = 26 - -219. What is the greatest common divisor of u and h?
35
Let w(v) = -2*v - 10. Let g be w(-7). Suppose -g*j + 115 + 249 = 4*y, -3*j + 453 = 5*y. Calculate the greatest common factor of 225 and y.
45
Suppose -13 = -5*f + 7. Suppose 40 + 20 = -f*m. Let w be (54/m)/(9/(-60)). Calculate the greatest common divisor of w and 168.
24
Suppose 4*y + 18 = 8*y - l, 3*l = -4*y + 26. Suppose 2*c + 28 = 5*g, 3*g = y*g + 2*c - 14. Let d = -14 - -62. Calculate the highest common divisor of g and d.
6
Suppose 0 = -19*p + 211 + 36. Let o be (15/2)/(2/(-24)). Let w = o + 155. What is the greatest common divisor of p and w?
13
Let r be (-326)/(13 - 15) + 1/(-1). What is the greatest common divisor of 189 and r?
27
Let j be (-4)/38 - 141384/(-228). What is the highest common divisor of j and 20?
20
Suppose m - 5*p + 13 = 0, -4*m = -4*p + 2 + 2. Suppose g + m*c - 13 = 0, 3*g + c - 54 = -0*c. What is the highest common divisor of g and 19?
19
Suppose 26 = -3*b + 5*k, -3*b + 0*k = k + 2. Let s be 2*((-17)/b + -2). Let f be (210/168)/(2/104). Calculate the highest common factor of f and s.
13
Let o(t) = -t**3 + 7*t**2 + 30*t + 16. Let a be o(10). What is the greatest common divisor of 472 and a?
8
Let l be 694/30 - 22/165. Let n = l - 19. Suppose 7*o = n*o + 75. Calculate the greatest common divisor of 5 and o.
5
Suppose 6561 = 16*c - 2319. What is the greatest common divisor of 15 and c?
15
Suppose 1464 - 1560 = -u. What is the highest common divisor of 6 and u?
6
Let c = 241 + -221. Calculate the greatest common factor of c and 50.
10
Let o(y) = y - 3. Let i be o(6). Suppose -p = i*p - 560. What is the greatest common factor of 28 and p?
28
Let w be -2 - 5*-6*1. Let t be -4 - ((-6)/(-3) - 13). Calculate the highest common divisor of w and t.
7
Let n(v) = -3*v + 5 - 6 - 2 + 0*v**3 + 2*v**3 - 7*v**2. Let l be n(6). Suppose -39 = 5*g - l. What is the highest common divisor of 36 and g?
12
Let p be 33/22*(-88)/(-6). Calculate the highest common factor of 8 and p.
2
Suppose x + x - 24 = 0. Suppose -2*r + x = 4*r. Calculate the greatest common factor of r and 8.
2
Let a(w) = w**3 + 15*w**2 + 12*w + 12. Let t be a(-16). Let b be (-1)/(-1) - 1*10. Let i be 2/b - t/18. What is the greatest common divisor of 6 and i?
6
Suppose 5*w = 4*n + 777, -n + 444 = 3*w + 4*n. Calculate the highest common divisor of 9 and w.
9
Suppose 0*y - y + 5 = 0. Let o(g) = g**3 + g**2 + 4*g + 3. Let d be o(-2). Let u be (-15)/(d/15 - 0). Calculate the highest common divisor of u and y.
5
Let c be (-1071)/(-45) - 28/35. What is the greatest common factor of 69 and c?
23
Suppose -5*l - 323 = -24*l. Calculate the greatest common factor of 221 and l.
17
Suppose n - 6 = -1. Suppose -13 = 3*d - 1, 5*y = -n*d + 100. Let x be 0 + 59 + (5 - (-3 - -7)). Calculate the highest common factor of y and x.
12
Suppose 3*w - 2*w - 386 = -2*t, 4*w + 3*t - 1554 = 0. Calculate the highest common divisor of 156 and w.
78
Let r be (-5)/20 - 21/(-4). Suppose 2*g + 10 = 0, 0 = -4*m + r*g + 68 + 73. Let b = -17 + m. Calculate the highest common divisor of b and 108.
12
Suppose 90 = 5*m - 3*y, y + 55 = 2*m - 4*y. Suppose 0*h = h - 5*k - 135, 0 = 5*h - 4*k - 675. What is the highest common factor of m and h?
15
Let v(l) be the first derivative of 5/2*l**2 + 5 - 1/4*l**4 + 6*l + 2*l**3. Let n be v(6). Calculate the highest common factor of n and 9.
9
Let b(a) = a + 7. Let v be b(-5). Let s = -424 - -438. What is the highest common factor of v and s?
2
Suppose 0 = -0*r + 5*r + 4*k - 53, 5*k - 10 = 0. What is the highest common divisor of r and 630?
9
Let l be (-20 + 14)*(-116)/6. Calculate the greatest common factor of 145 and l.
29
Let x be ((-244)/(-2))/(-2) + -2. Let g be 332/7 - 36/x. What is the greatest common factor of g and 72?
24
Suppose 5*z - 14*w = -10*w + 2519, -4*w + 16 = 0. Calculate the highest common divisor of z and 39.
39
Suppose v - g - 34 = 0, -3*g + 1 = -4*g. Calculate the highest common factor of v and 99.
33
Let w be -399 + (-2 - 2 - -4). Let y be (-7)/21 - w/9. Let o be y/(-55) + 1058/10. Calculate the highest common divisor of o and 21.
21
Let g = -139 + 415. What is the greatest common divisor of g and 36?
12
Let c(i) = i**2 - 16*i + 28. Let p be c(15). Suppose -4*k + 66 = b, 5*k - p = -4*b + 75. Calculate the highest common factor of k and 16.
16
Suppose -86*w + 35*w = -1020. Calculate the highest common divisor of w and 170.
10
Let z(o) = -2*o**2 + 19*o - 5. Let k be z(9). Suppose 3*p + 24 = k*p. Calculate the highest common factor of 6 and p.
6
Suppose 9*t - 4*t = 0. Let w be 1 - ((-8)/(-4) - t). Let q be (-38)/(0 - w/(-4)). Calculate the greatest common factor of q and 19.
19
Let h(o) = -2*o**2 + 18*o - 10. Let u be h(7). What is the greatest common divisor of 2070 and u?
18
Suppose q = -2*u + 47, 4*u - 110 = -u - 4*q. Let r = u + -18. Suppose 2 - r = -3*j. What is the highest common factor of 2 and j?
2
Let h(c) = 77*c**2 + 5*c + 8. Let q be 8/(-10)*10/4. Let o be h(q). Calculate the greatest common factor of 34 and o.
34
Suppose -4*l - 35 = -3*n - 86, 23 = 2*l + n. What is the greatest common divisor of l and 2?
2
Suppose -13 = -2*a + 25. Suppose -10*u = -8*u + 8. Let m be (-845)/(-45) - u/18. Calculate the highest common divisor of a and m.
19
Let c be 2/(-7) + (-320)/(-140). Let b = -5 + 7. What is the greatest common divisor of b and c?
2
Let f = -658 - -702. What is the highest common divisor of f and 16?
4
Suppose -9*q + 153 = -0*q. Let s(k) = k**2 - 15*k - 29. Let n be s(q). Suppose 13 = 4*a - 7. What is the highest common divisor of n and a?
5
Suppose x - 12 + 204 = 0. Let g = x - -269. Calculate the greatest common divisor of g and 11.
11
Suppose 8*n - 80 = -256. Let j be 3 + -1 - (n - 8). Let d = 523 + -267. Calculate the highest common divisor of d and j.
32
Let d = 482 - 468. Suppose 0 = -0*f - 5*f + 700. Calculate the greatest common divisor of f and d.
14
Let l(w) = 26*w - 190. Let s be l(8). Suppose -2*h + 17 = -19. What is the highest common factor of s and h?
18
Let g(y) = 4 + 3 - 11 - 20 + 2*y. Let p be g(18). Calculate the highest common factor of 48 and p.
12
Let x = -6 - -4. Let r be -3 + (x + -38)/(-4). Let y = 41 + r. Calculate the greatest common factor of y and 8.
8
Let t(o) = -3*o - 10. Let k be t(-12). Suppose 17*m = 403 + 260. What is the greatest common factor of k and m?
13
Let c be 10 + -16 + (2 - -11) + 248. Calculate the greatest common factor of 357 and c.
51
Let n = 6800 - 4592. Calculate the greatest common divisor of n and 69.
69
Let c(d) = d**3 + 3*d**2 - 4*d + 3. Let x be c(-4). Let n be (-12)/x*-1 - -2. Suppose 16 = 10*l - n*l. What is the greatest common factor of 8 and l?
4
Let b(p) = -p**2 - 8*p - 6. Let l be b(-6). Let w(n) = 2*n**2. Let s be w(0). Suppose -8*q + l*q + 28 = s. Calculate the greatest common divisor of 14 and q | {
"pile_set_name": "DM Mathematics"
} |
of sequence xeel when four letters picked without replacement from xlleexxe?
3/140
What is prob of sequence gug when three letters picked without replacement from ugugiiugzzgizlg?
2/91
Four letters picked without replacement from {g: 4, c: 3, p: 7}. What is prob of sequence cpgp?
3/143
Two letters picked without replacement from jjtx. Give prob of sequence xt.
1/12
Four letters picked without replacement from nnbnnbnnnnnbnnnnbnb. Give prob of sequence bbbb.
5/3876
Calculate prob of sequence bhb when three letters picked without replacement from {y: 6, h: 2, b: 6, f: 1, l: 3, j: 2}.
1/114
What is prob of sequence sy when two letters picked without replacement from {k: 2, y: 1, s: 3, x: 1}?
1/14
What is prob of sequence pp when two letters picked without replacement from {p: 9, v: 5}?
36/91
Calculate prob of sequence yev when three letters picked without replacement from payve.
1/60
Calculate prob of sequence lbl when three letters picked without replacement from {d: 8, l: 6, b: 1}.
1/91
What is prob of sequence sm when two letters picked without replacement from smoanmz?
1/21
Four letters picked without replacement from mzynmmu. Give prob of sequence mmmy.
1/140
Two letters picked without replacement from djjjjjjddddsdjjsjd. What is prob of sequence sd?
7/153
Three letters picked without replacement from {w: 18, m: 2}. Give prob of sequence mwm.
1/190
What is prob of sequence hn when two letters picked without replacement from {h: 7, j: 1, n: 11}?
77/342
What is prob of sequence ixux when four letters picked without replacement from {z: 1, l: 1, i: 3, u: 4, x: 6}?
1/91
Two letters picked without replacement from {l: 2, j: 3}. What is prob of sequence ll?
1/10
Three letters picked without replacement from ddvxvdh. What is prob of sequence dxv?
1/35
Two letters picked without replacement from qjjqqjzzczqqzqc. What is prob of sequence jc?
1/35
What is prob of sequence wwwd when four letters picked without replacement from wwwwwdddwww?
7/55
Calculate prob of sequence umy when three letters picked without replacement from ddmguyd.
1/210
Two letters picked without replacement from xrwxh. Give prob of sequence hx.
1/10
Calculate prob of sequence pipo when four letters picked without replacement from pmmibimpmo.
1/1260
Calculate prob of sequence iei when three letters picked without replacement from iiiiieiiiiiii.
1/13
What is prob of sequence xxc when three letters picked without replacement from {x: 1, c: 7}?
0
Calculate prob of sequence xxf when three letters picked without replacement from {x: 2, c: 1, z: 1, f: 2}.
1/30
What is prob of sequence qwh when three letters picked without replacement from {q: 1, x: 1, w: 1, j: 1, p: 2, h: 1}?
1/210
Calculate prob of sequence sx when two letters picked without replacement from {s: 1, x: 1, g: 4, a: 2, b: 10}.
1/306
Two letters picked without replacement from clzdilllblizd. What is prob of sequence iz?
1/39
Calculate prob of sequence et when two letters picked without replacement from {e: 3, p: 2, v: 2, t: 6}.
3/26
Calculate prob of sequence uf when two letters picked without replacement from ooaauuuaaiiufaaif.
1/34
Four letters picked without replacement from {z: 1, o: 3, i: 3}. Give prob of sequence ozoo.
1/140
Four letters picked without replacement from ifyfhpr. What is prob of sequence yfpi?
1/420
Two letters picked without replacement from qududeqremmm. Give prob of sequence ud.
1/33
Calculate prob of sequence qtq when three letters picked without replacement from {q: 6, t: 7}.
35/286
What is prob of sequence rco when three letters picked without replacement from {n: 2, o: 5, a: 2, c: 2, x: 2, r: 1}?
5/1092
Three letters picked without replacement from sqqqqqss. Give prob of sequence sqq.
5/28
Two letters picked without replacement from {f: 1, a: 2, m: 1, w: 1}. Give prob of sequence aw.
1/10
Three letters picked without replacement from {h: 1, r: 1, b: 2, x: 1, l: 1, z: 1}. What is prob of sequence lrh?
1/210
Calculate prob of sequence ue when two letters picked without replacement from ueiefeueueuffe.
12/91
What is prob of sequence dped when four letters picked without replacement from {p: 2, e: 7, i: 3, d: 3}?
1/390
What is prob of sequence nnj when three letters picked without replacement from {n: 9, j: 5}?
15/91
Three letters picked without replacement from roxaaooxxd. Give prob of sequence oar.
1/120
Three letters picked without replacement from ojjjjoojomjuoj. What is prob of sequence joj?
5/52
Two letters picked without replacement from {a: 1, t: 8, n: 1, d: 6}. Give prob of sequence da.
1/40
Four letters picked without replacement from {u: 3, c: 3}. Give prob of sequence ucuc.
1/10
Calculate prob of sequence ww when two letters picked without replacement from {m: 1, w: 2, k: 2}.
1/10
Two letters picked without replacement from qydqyqdydhqftqqhddf. Give prob of sequence ff.
1/171
Three letters picked without replacement from tvltvlvlvvvvvvlv. Give prob of sequence vtl.
1/42
What is prob of sequence bb when two letters picked without replacement from {y: 1, b: 18}?
17/19
Two letters picked without replacement from {n: 5, v: 2, a: 1, b: 3, p: 4, s: 5}. Give prob of sequence ns.
5/76
Two letters picked without replacement from {x: 3, s: 1, r: 10, u: 4}. Give prob of sequence ur.
20/153
Two letters picked without replacement from ssxdsxfisiiwsx. What is prob of sequence sx?
15/182
What is prob of sequence zll when three letters picked without replacement from zll?
1/3
Two letters picked without replacement from svtvvxxvjxx. What is prob of sequence jt?
1/110
Calculate prob of sequence zz when two letters picked without replacement from {z: 2, a: 3}.
1/10
Three letters picked without replacement from {l: 1, w: 4, a: 1, e: 5}. Give prob of sequence ewa.
2/99
Three letters picked without replacement from {r: 4, m: 2, s: 6, i: 1}. Give prob of sequence msr.
4/143
What is prob of sequence yn when two letters picked without replacement from nunuuyyuyy?
4/45
Three letters picked without replacement from wwwwwwfwwwf. Give prob of sequence ffw.
1/55
Three letters picked without replacement from {q: 4, k: 3, g: 2, v: 9, o: 1}. What is prob of sequence gvo?
1/323
Calculate prob of sequence sslj when four letters picked without replacement from jslsslssjcs.
1/66
Two letters picked without replacement from {i: 1, d: 6, m: 3, r: 2}. What is prob of sequence mr?
1/22
Calculate prob of sequence nn when two letters picked without replacement from {n: 5, t: 11}.
1/12
What is prob of sequence to when two letters picked without replacement from totototfoof?
2/11
Three letters picked without replacement from bbchhl. What is prob of sequence lhb?
1/30
Calculate prob of sequence fnj when three letters picked without replacement from {j: 1, f: 2, g: 3, n: 3, o: 1}.
1/120
Four letters picked without replacement from zoozooouzzrzzz. What is prob of sequence ouoo?
5/2002
Three letters picked without replacement from {e: 15, t: 3}. Give prob of sequence tte.
5/272
What is prob of sequence aj when two letters picked without replacement from {j: 4, r: 1, h: 5, g: 3, x: 1, a: 3}?
3/68
Calculate prob of sequence uada when four letters picked without replacement from aauaaaaaaauaaaaad.
13/2040
Four letters picked without replacement from cccctcfctcccnftcft. Give prob of sequence fntf.
1/3060
Four letters picked without replacement from {h: 3, q: 4, g: 4, s: 3}. Give prob of sequence hhqq.
3/1001
Three letters picked without replacement from {m: 7, x: 4, p: 3}. What is prob of sequence mxp?
1/26
What is prob of sequence hw when two letters picked without replacement from {h: 3, n: 4, w: 2, e: 3, g: 7}?
1/57
Four letters picked without replacement from {o: 4, m: 5, e: 4, g: 3}. What is prob of sequence omgo?
3/728
What is prob of sequence rc when two letters picked without replacement from rjjric?
1/15
Three letters picked without replacement from otttttto. Give prob of sequence tot.
5/28
Four letters picked without replacement from {j: 4, p: 4, l: 11}. Give prob of sequence pplj.
11/1938
What is prob of sequence dbt when three letters picked without replacement from {q: 7, b: 1, t: 2, d: 1, i: 4}?
1/1365
Two letters picked without replacement from nlvnvvllvv. What is prob of sequence ln?
1/15
What is prob of sequence xbx when | {
"pile_set_name": "DM Mathematics"
} |
he biggest value in -9.9, -1.2, 442/5?
442/5
Which is the second biggest value? (a) 1.6 (b) 742 (c) 1 (d) -3 (e) 2
e
What is the third biggest value in -15/8, -2/11, 18/5?
-15/8
Which is the biggest value? (a) -1/2 (b) -13 (c) -0.198 (d) -17
c
What is the third biggest value in -5, -11, -223/3, -3, -0.2?
-5
Which is the third biggest value? (a) -4/5 (b) 0 (c) -1/4 (d) -1022/3
a
Which is the second smallest value? (a) -0.4 (b) -3/2 (c) 0.1 (d) 4 (e) 53
a
Which is the fifth biggest value? (a) -1/5 (b) -0.5 (c) -3 (d) 1/6 (e) -24
e
Which is the second biggest value? (a) 54/47 (b) -0.2 (c) 0.1 (d) 4 (e) -4 (f) 6
d
What is the biggest value in -2, -0.2, 1/3, -9, -5, -304?
1/3
What is the fifth smallest value in -2, 1, -26, -15, 0.05?
1
Which is the second smallest value? (a) -0.065 (b) -2 (c) 0.5 (d) 3 (e) -5 (f) -21
e
What is the second biggest value in 3/2, 10, -0.3339, -0.5?
3/2
Which is the fourth smallest value? (a) 2/5 (b) 68 (c) -12/11 (d) 1
b
What is the fifth smallest value in -1, -1.2, 52, -5, 1/2, 2/7?
1/2
What is the third biggest value in 1/29, -35, 3, 1/2?
1/29
Which is the fourth smallest value? (a) -1 (b) -2.1 (c) -2/7 (d) -10 (e) 3/5
c
What is the fifth smallest value in 3, 6, 0, -9, -4?
6
What is the second biggest value in 2.1, -2/9, 0, 384?
2.1
Which is the fourth smallest value? (a) -0.2 (b) 12 (c) -2 (d) 6 (e) 16
b
Which is the third smallest value? (a) 2 (b) -5 (c) -2684/25 (d) 8
a
What is the second smallest value in 1329, -6, 0.5?
0.5
Which is the third biggest value? (a) 0.2 (b) 1 (c) -550
c
What is the second biggest value in 133, -7, -21, -0.2, -5?
-0.2
Which is the second biggest value? (a) -0.34 (b) -0.4 (c) 2/3549
a
Which is the fifth biggest value? (a) -0.05 (b) -131 (c) -2/9 (d) -2 (e) -5
b
Which is the third biggest value? (a) 13 (b) -3 (c) -1 (d) 9 (e) 2
e
What is the fourth smallest value in -1, -15, -8, -14, 1/2?
-1
Which is the fifth smallest value? (a) -14 (b) -0.1 (c) -1 (d) 0.3 (e) 2/11
d
Which is the third smallest value? (a) 0.02 (b) -0.1 (c) 1.2 (d) -189
a
Which is the biggest value? (a) 48 (b) -0.3 (c) -9 (d) 1/46
a
What is the third biggest value in 8, -16, -97?
-97
Which is the second biggest value? (a) 0.03 (b) 1 (c) 2/15 (d) -3/7
c
Which is the second smallest value? (a) -4 (b) -22 (c) 21 (d) -2/107
a
What is the fifth smallest value in -2/13, -2/15, -214, -1, -3?
-2/15
Which is the third smallest value? (a) -0.1 (b) 23 (c) 28 (d) 7
b
Which is the third biggest value? (a) 2/7 (b) -1 (c) 1/12672
b
What is the smallest value in 1/7, -9437, 6?
-9437
Which is the smallest value? (a) 2/73 (b) -2/3 (c) 0.4 (d) 2/3 (e) 2
b
What is the second smallest value in 301, -0.3, -3.77?
-0.3
What is the biggest value in 0.153, -14, -2, -47/5?
0.153
What is the fourth smallest value in 8, -3, -1345, -0.2, -0.1, -4?
-0.2
What is the smallest value in -423, 4, 1/3?
-423
Which is the fourth biggest value? (a) -8 (b) -2 (c) 2 (d) -115/37
a
What is the fourth smallest value in -0.2, -42846, -0.3, -3?
-0.2
What is the third smallest value in 3, -877, -5, -1/2, 0.4?
-1/2
What is the third smallest value in -2, -2/133455, -1/3?
-2/133455
Which is the third biggest value? (a) 0 (b) 2/7 (c) -3 (d) 181.3 (e) 1/3
b
What is the third biggest value in 0.13, -2/5, 6, 2/3, -4, -2/31?
0.13
What is the second biggest value in 12, 36343, 0.4?
12
Which is the biggest value? (a) 1 (b) 0.5 (c) 1/5 (d) 4 (e) -3
d
What is the biggest value in -5, -0.1, -2/3, -100, -3, -1.1?
-0.1
What is the third biggest value in 2/15, -0.2, 0.034, 24?
0.034
Which is the biggest value? (a) 1/5 (b) -38 (c) 3 (d) -0.16
c
What is the smallest value in -2/37, 8, 69, -0.3, 5?
-0.3
Which is the third smallest value? (a) -9/4 (b) -15 (c) -4 (d) -7/2 (e) 2/29
d
What is the third biggest value in -0.74, -0.7, -1.67, -5?
-1.67
What is the fifth biggest value in 19, -21, 0.5, -184/5, 0, 2?
-21
What is the biggest value in 723, -6, 0.5?
723
Which is the third biggest value? (a) -3.3 (b) -9.6 (c) 4
b
Which is the third biggest value? (a) -2751 (b) 3/8 (c) 2/19 (d) 0.6
c
What is the smallest value in -1, 1/4, 3, 2/3, -9/62?
-1
What is the biggest value in 972, -1/10, -2, 5, -2/7?
972
Which is the fifth biggest value? (a) -2/7 (b) 89 (c) -7 (d) 3 (e) 1/3
c
What is the biggest value in -3, -5.29, -23/29?
-23/29
Which is the smallest value? (a) -0.3 (b) 13.15 (c) 1.3
a
Which is the second biggest value? (a) -5 (b) -1/8 (c) -0.2 (d) -1031342
c
Which is the second biggest value? (a) -144/13 (b) -32 (c) 7 (d) 2
d
What is the second smallest value in 2, -3/7, -4416?
-3/7
Which is the third smallest value? (a) 7 (b) -5 (c) 4 (d) 184
a
What is the third biggest value in 2/5, -5, 2, 0, -1738, 5?
2/5
Which is the fourth biggest value? (a) -0.14 (b) 1 (c) -33/2 (d) -1/5 (e) 1/2 (f) -2
d
What is the fourth biggest value in 49, -4/7, -15, 0.9?
-15
Which is the third biggest value? (a) 1/2 (b) -3/7 (c) 30 (d) -4 (e) 5/9
a
Which is the fourth smallest value? (a) -87/5 (b) -3/2 (c) -4 (d) -5
b
Which is the fifth smallest value? (a) -1/5 (b) 13.2 (c) 3 (d) 1548 (e) -3/2
d
What is the third smallest value in 4/7, -13.42, -1?
4/7
Which is the third smallest value? (a) -0.2 (b) 0.1 (c) -55080
b
What is the smallest value in 264, 108, -4?
-4
Which is the third biggest value? (a) -115 (b) 10 (c) -1/5 (d) -2
d
What is the third biggest value in 4, -19, -1/22, -17?
-17
Which is the third smallest value? (a) -4 (b) 2 (c) -2/11 (d) 1/10 (e) 33
d
Which is the second biggest value? (a) 9 (b) 5 (c) 0.571
b
Which is the fifth smallest value? (a) -18 (b) 10 (c) 2 (d) -0.9 (e) 3
b
Which is the smallest value? (a) -0.67 (b) 5 (c) 14 (d) -3 (e) 143
d
Which is the smallest value? (a) -2 (b) -3314 (c) 22 (d) -4
b
Which is the second biggest value? (a) -5/54 (b) -0.13 (c) 0.3 (d) 3/11
d
What is the smallest value in 144, -0.5, -5?
-5
Which is the third biggest value? (a) -1/681 (b) -15 (c) 0 (d) -12
d
What is the third smallest value in 2, 4, 48157?
48157
What is the third smallest value in 1935, -5, -2?
1935
Which is the third smallest value? (a) 11119 (b) 5 (c) -4 (d) 2 (e) 0.1
d
Which is the fourth smallest value? (a) -0.4 (b) 0 (c) 34 (d) -2/13 (e) -21 (f) 0.2
b
What is the biggest value in 2/11, -547/788, 1?
1
What is the second smallest value in -0.3, 674, 0.06?
0.06
Which is the third biggest value? (a) -2 (b) 1/5 (c) 2084
a
Which is the third biggest value? (a) -8 (b) -2/21 (c) 26 (d) 5
b
What is the fourth biggest value in 10, -1, 0.2, -3/2?
-3/2
Which is the biggest value? (a) 0.4 (b) -66/41 (c) -0.3 (d) -3/7 (e) -36
a
Which is the third smallest value? (a) -3/8 (b) -0.05 (c) 1 (d) 4.82 (e) -1 (f) 5
b
Which is the second biggest value? (a) 53 (b) -0.1 (c) 0 (d) -6 (e) -3
c
What is the fifth biggest value in 5, 0.4, -0.5, 1, 10, 0.112?
0.112
Which is the smallest value? (a) -3/2 (b) 272 (c) -213
c
What is the third biggest value in 0.8, -1.038, 5?
-1.038
Which is the second biggest value? (a) 3 (b) 4 (c) -1/22 (d) -93
a
What is the second smallest value in 0.4, 25, -4/7, -23, 0?
-4/7
What is the biggest value in -14/9, -2/7, 2/7, 36/7, -28?
36/7
What is the fourth biggest value in 11, 0.1, -0.2, 58, 1, -2/5?
0.1
What is the second smallest value in -4794/25, -1/7, 2?
-1/7
What is the fifth biggest value in 10, 0.2, -4, -0.092, -9?
-9
What is the third smallest value in 9, -4, -152/7?
9
What is the smallest value in -1/13, 1/5, -5, 1/3, -349?
-349
What is the third smallest value in -4, -1, 234?
234
Which is the biggest value? (a) 0.28 (b) -2/3 (c) 1271
c
Which is the third biggest value? (a) 3 (b) -1 (c) -0.1 (d) 0.4
c
Which is the fourth biggest value? (a) -4 (b) -1 (c) 2 (d) 0.059321 (e) 4
b
What is the second biggest value in 4, -0.2425, -3?
-0.2425
Which is the biggest value? (a) 4/7 (b) 13 (c) 4/13 (d) 437
d
What is the fifth biggest value in -0.1, -5, -2, -2/33, 0.069, -4?
-4
What is the fourth smallest value in -25840, -2/13, 7, -1?
7
What is the second biggest value in 37, 0.2, -3, 2, 0.02, -2/7?
2
Which is the fourth smallest | {
"pile_set_name": "DM Mathematics"
} |
54558
Put -5, 1, 34, -4, 26901, -2 in ascending order.
-5, -4, -2, 1, 34, 26901
Sort -32, -43, 149, 12, -1.
-43, -32, -1, 12, 149
Put -1, -5, 538922 in decreasing order.
538922, -1, -5
Put -5, -163, -5276 in descending order.
-5, -163, -5276
Sort 1, -2/3, 5.18, -5/46, -3, 3.
-3, -2/3, -5/46, 1, 3, 5.18
Put -2/19, 0, 2.4, -2, 7, 57/7 in increasing order.
-2, -2/19, 0, 2.4, 7, 57/7
Put -2173, 4, 2, -26 in decreasing order.
4, 2, -26, -2173
Put -0.5, 4, 1.7, 15, -8 in descending order.
15, 4, 1.7, -0.5, -8
Sort 25444, 10, 19/2 in descending order.
25444, 10, 19/2
Put -81, 1, 2, -5, -788 in increasing order.
-788, -81, -5, 1, 2
Put -33, 3, 13, -12, 0 in descending order.
13, 3, 0, -12, -33
Put -8, 10, -5, -1135, -4 in ascending order.
-1135, -8, -5, -4, 10
Sort -4, 145, -0.03, -0.4, -265.71.
-265.71, -4, -0.4, -0.03, 145
Put -0.4, -1209, 4, -56, -3 in decreasing order.
4, -0.4, -3, -56, -1209
Sort 1/7, 1/15, 0.45, 2/3, -2.2, 2 in ascending order.
-2.2, 1/15, 1/7, 0.45, 2/3, 2
Sort -613, 1, 2, 194, 63.
-613, 1, 2, 63, 194
Sort 80, 3, 4, -35, -13.
-35, -13, 3, 4, 80
Sort 5, 3718, -1, 7, -30.
-30, -1, 5, 7, 3718
Sort -5, 5826268, -3 in descending order.
5826268, -3, -5
Sort -8222, -3/10, 2.6 in increasing order.
-8222, -3/10, 2.6
Sort 17369, -15433, -2, 2 in decreasing order.
17369, 2, -2, -15433
Put -0.1, 8, -761, -0.9, -52 in ascending order.
-761, -52, -0.9, -0.1, 8
Sort 0, -10351, 206.
-10351, 0, 206
Sort 67243, 2, 3, 4, -2, -3 in decreasing order.
67243, 4, 3, 2, -2, -3
Sort -0.3, 2610/495551, -1 in decreasing order.
2610/495551, -0.3, -1
Sort 18, -1, 185, 1, -2 in decreasing order.
185, 18, 1, -1, -2
Sort 55, 2, -5340 in descending order.
55, 2, -5340
Sort 7, -4, 4, 373, 3, -232 in decreasing order.
373, 7, 4, 3, -4, -232
Sort 10/11, 0.4, 2/163, 1248.
2/163, 0.4, 10/11, 1248
Put 15314, 20, -2, -5 in descending order.
15314, 20, -2, -5
Sort 2, 10592, -5, 206 in descending order.
10592, 206, 2, -5
Sort 100, 2690, 25, 6 in increasing order.
6, 25, 100, 2690
Put -1.7, 3/11, 0.1, 14, 0.02, 4 in decreasing order.
14, 4, 3/11, 0.1, 0.02, -1.7
Put 38, 16066, 1 in increasing order.
1, 38, 16066
Put -5, 0, 332, 7610, 3 in decreasing order.
7610, 332, 3, 0, -5
Put 1107, -1, -48, 0, 2, 9, 4 in ascending order.
-48, -1, 0, 2, 4, 9, 1107
Sort 15, 1, 83, 23, 3, -8 in decreasing order.
83, 23, 15, 3, 1, -8
Put -3, 7, -4, -2, -65, -75, 20 in descending order.
20, 7, -2, -3, -4, -65, -75
Sort 141, 1, -2126, -8 in increasing order.
-2126, -8, 1, 141
Sort 2, -3/5, 0, 7.72759 in descending order.
7.72759, 2, 0, -3/5
Sort -1/501, 1/2, -1956.8, 0.4, 1 in descending order.
1, 1/2, 0.4, -1/501, -1956.8
Sort -2/3, -2/8795, -0.5, 3, 203 in ascending order.
-2/3, -0.5, -2/8795, 3, 203
Sort -3278, 5, -4, 16, 6, -3.
-3278, -4, -3, 5, 6, 16
Sort 0, -147, -9, -2, -37, -56, 2 in ascending order.
-147, -56, -37, -9, -2, 0, 2
Put -5, -220, -169, 1, -4, 4 in decreasing order.
4, 1, -4, -5, -169, -220
Sort 2/5, 1544, 4 in increasing order.
2/5, 4, 1544
Sort 173, 18, -1, 58/23 in decreasing order.
173, 18, 58/23, -1
Sort -5, 5, -53, -4/5, -5/29, 2 in ascending order.
-53, -5, -4/5, -5/29, 2, 5
Put 7, 4, -193826 in descending order.
7, 4, -193826
Sort 54, -5096, -2, 0, -1, -5 in increasing order.
-5096, -5, -2, -1, 0, 54
Put 4, 0.095, 14724 in decreasing order.
14724, 4, 0.095
Sort -12666, -17, 0, -10 in ascending order.
-12666, -17, -10, 0
Sort -6928.7, 3, 2/15, 1/7, -5 in decreasing order.
3, 1/7, 2/15, -5, -6928.7
Sort 138, -1.5, 14, 2, -0.3.
-1.5, -0.3, 2, 14, 138
Put -3, 67484856.2, 3 in increasing order.
-3, 3, 67484856.2
Sort -0.03, -3, 4010, -2/31 in decreasing order.
4010, -0.03, -2/31, -3
Sort 90, -3, 4, 41621, -4, 3, 5 in increasing order.
-4, -3, 3, 4, 5, 90, 41621
Sort 3900, -3/5, -1/7, 5, -5, -1/5 in ascending order.
-5, -3/5, -1/5, -1/7, 5, 3900
Sort 0, 135, -4, 5, -35, 7 in decreasing order.
135, 7, 5, 0, -4, -35
Put -2, 450, 167, 5, -4, -3 in increasing order.
-4, -3, -2, 5, 167, 450
Sort 5, 2505, -4, 2, -45 in decreasing order.
2505, 5, 2, -4, -45
Sort 19, -294789, -5 in descending order.
19, -5, -294789
Put 0.042, 4, 0, 1/41, -12 in increasing order.
-12, 0, 1/41, 0.042, 4
Put -0.5, 6, 2, -42, 5/4, -10/49 in decreasing order.
6, 2, 5/4, -10/49, -0.5, -42
Put -26, 20516, -2, 0.2 in ascending order.
-26, -2, 0.2, 20516
Put 114, -3, -1, 0, 4, -500, -4 in descending order.
114, 4, 0, -1, -3, -4, -500
Sort -5, 166, 145, -59, 3.
-59, -5, 3, 145, 166
Put 2/11, -8, -7.7676 in decreasing order.
2/11, -7.7676, -8
Sort 146, -11, 823 in decreasing order.
823, 146, -11
Sort -757100, 5, -71 in decreasing order.
5, -71, -757100
Sort 1.17, -1.9, 0, 22, -7, -0.4 in increasing order.
-7, -1.9, -0.4, 0, 1.17, 22
Put -7, -84, -1.6, 4 in increasing order.
-84, -7, -1.6, 4
Put 0.1, -3555.46, 1/3, -4/9, 5 in ascending order.
-3555.46, -4/9, 0.1, 1/3, 5
Sort -159699, 5, 9 in ascending order.
-159699, 5, 9
Put -49, -29, -2, -5, 15, 2 in decreasing order.
15, 2, -2, -5, -29, -49
Sort 1/2, 2/13, 1, -0.0512962 in decreasing order.
1, 1/2, 2/13, -0.0512962
Put -2/3017, -2/5, 0.1, 935 in descending order.
935, 0.1, -2/3017, -2/5
Sort 15, -3/47, 4/93.
-3/47, 4/93, 15
Put -2/3, -1/4, -4/61, 0, -0.05 in ascending order.
-2/3, -1/4, -4/61, -0.05, 0
Put 3/5, 10, -11/2, 5/2, -6, -292 in ascending order.
-292, -6, -11/2, 3/5, 5/2, 10
Put 4, -4, -3, 175579, -53 in increasing order.
-53, -4, -3, 4, 175579
Sort -5, -2, -7, 62, -168, -32 in descending order.
62, -2, -5, -7, -32, -168
Sort -1, -4, -19, 1, -439 in decreasing order.
1, -1, -4, -19, -439
Sort 20.2, 9, 193, 3, -1 in increasing order.
-1, 3, 9, 20.2, 193
Sort -5, -2, -4, 2, -24, 4, -5915 in descending order.
4, 2, -2, -4, -5, -24, -5915
Sort 44, 2.3579, -5 in decreasing order.
44, 2.3579, -5
Put 6362, 0, 3/611 in descending order.
6362, 3/611, 0
Sort -34/793, -0.1, 2/19, 9, 1/2 in decreasing order.
9, 1/2, 2/19, -34/793, -0.1
Sort -2, 4, -1420, -4556.
-4556, -1420, -2, 4
Sort -0.4, 3040, 20310.
-0.4, 3040, 20310
Sort -8, 1, -9, 2, -55236 in increasing order.
-55236, -9, -8, 1, 2
Sort 1, -239328, -5, 2, 5, -15 in decreasing order.
5, 2, 1, -5, -15, -239328
Sort -4, 0.018343, -44, -3/5, 0.4 in decreasing order.
0.4, 0.018343, -3/5, -4, -44
Sort -7, -17, -2, -33, -138, -5 in descending order.
-2, -5, -7, -17, -33, -138
Sort 23, 15737, 0, -7, 4.
-7, 0, 4, 23, 15737
Sort 9, -15, -134, 7, -83 in ascending order.
-134, -83, -15, 7, 9
Put 5, -5716, 2/5, 0.15, -6, 0.1 in decreasing order.
5, 2/5, 0.15, 0.1, -6, -5716
Put 0, -2, -1, -5, -27, 2, -7813 in descending order.
2, 0, -1, -2, -5, -27, -7813
Sort 19, 2, 33, 0, 3319, 1.
0, 1, 2, 19, 33, 3319
Put 29, -32, 175 in decreasing order.
175, 29, -32
Put 167, -4, -2/98279 in decreasing order.
167, -2/98279, -4
Put -1, -5, 13, 1, -6, -139, -56 in increasing order.
-139, -56, -6, -5, -1, 1, 13
Sort 3, -7921, -3, -1 in increasing order.
-7921, -3, -1, 3
Put 2/9, 668, 0.223, -1/2, 26 in decreasing order.
668, 26, 0.223, 2/9, -1/2
Sort 4, -154, 598745.
-154, 4, 598745
Sort 19822, -470, -1/7, -2/17.
-470, -1/7, -2/17, 19822
Put 13, -370135, -5, 0 in decreasing order.
13, 0, -5, -370135
Put -1/6, 12.203, 0.088 in descending order.
12.203, 0.088, -1/6
Sort -3, 2686859, -43, -1 in decreasing order.
2686859, -1, -3, -43
Sort 2, -1/25, -0.5, 5, 14, 0.34.
-0.5, -1/25, 0.34, 2, 5, 14
Sort -2, 48895, 5, 21 in ascending order.
-2, 5, 21, 48895
Sort -2, 0, 0.2, -5, -3, 5201/8 in descending order.
5201/8, 0.2, 0, -2, -3, -5
Sort 1, -3, 5, 30, 27, 96, 4.
-3, 1, 4, 5, 27, 30, 96
Put -2165, 36/101, 0.5 in increasing order.
-2165, 36/101, 0.5
Put -2, -40, 7, 3592, 17, 1 in ascending order.
-40, -2, 1, 7, 17, 3592
Put -196, 3, 5, -9, -357 in ascending order.
-357, -196, -9, 3, 5
Sort -37, -209880, 1/3 in ascending order.
-209880, -37, 1/3
Sort 0.2, -85.4, 2/9, -0.5, 2.9, -7 in decreasing order.
2.9, 2/9, 0.2, -0.5, -7, -85.4
Put 0, -1, 68, -2, 6, 195 in decreasing order.
195, 68, 6, 0, -1, -2
Sort 0.6, 3/28, 0.0125, -0.4, 7.4 in increasing order.
-0.4, 0.0125, 3/28, 0.6, 7.4
Sort -3, -4, -68212 in ascending order.
-68212, -4, -3
Sort -4488, -1, -4, -5, -17 in descending order.
-1, -4, -5, -17, -4488
Sort 14, -2, 18, -1, -70, -18, 3.
-70, -18, -2, -1, 3, 14, 18
Put 3, -138, 1, -5, -2, -6, -1903 in increasing order.
-1903, | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in -47*l**2 - 66*l**2 + 129*l**2.
16*l**2
Collect the terms in -j - j - 4*j + 11*j.
5*j
Collect the terms in -3*y**3 + 0*y**3 + 2*y**3 - 2*y**3.
-3*y**3
Collect the terms in -66*u**2 + 7 - 1 - 6.
-66*u**2
Collect the terms in -12*w - 15*w - 23*w + 69*w - 17*w.
2*w
Collect the terms in -7 - 9 + 3*w + 13 + 1.
3*w - 2
Collect the terms in -10*c**3 + 6*c**3 - 11*c**3 + 36*c**3.
21*c**3
Collect the terms in -33*o**2 - 33*o**2 + 9*o**2.
-57*o**2
Collect the terms in 25*j + 26*j - 6*j - 12*j.
33*j
Collect the terms in 16*z - 16*z + 24*z.
24*z
Collect the terms in -4*o**2 + 51*o + o**3 + 0*o**3 + 4*o**2.
o**3 + 51*o
Collect the terms in -37*o + 10 - 16 + 5 - 71*o.
-108*o - 1
Collect the terms in -19*d + 463*d**2 - 462*d**2 + 19*d.
d**2
Collect the terms in 2*o + o - 3*o + 5*o.
5*o
Collect the terms in -12*o + 95*o - 12*o.
71*o
Collect the terms in -11*w**2 + 15*w**2 - 5*w**2.
-w**2
Collect the terms in 516*d - 5*d**2 - 516*d.
-5*d**2
Collect the terms in -2*y**2 + 7927*y - 7927*y.
-2*y**2
Collect the terms in 4*h + 4*h + 8*h - 7*h.
9*h
Collect the terms in 3*g**2 + 6*g**2 + 9*g**2 - 15*g**2.
3*g**2
Collect the terms in 12*u + 27*u - 21*u + 24*u.
42*u
Collect the terms in 94*i**2 - 3*i**3 - 94*i**2 - 296 + 296.
-3*i**3
Collect the terms in -370*r**2 - 51*r**2 - 541*r**2.
-962*r**2
Collect the terms in 2*q**2 - 3*q**2 - 4*q**2 + 4*q**2.
-q**2
Collect the terms in 8*o**3 - o**3 - 6*o**3 + 2*o**3.
3*o**3
Collect the terms in 0*y**3 + 3*y**3 + 2*y**3 + 0*y**3.
5*y**3
Collect the terms in 35*r**2 + 61*r**2 + 16*r**2.
112*r**2
Collect the terms in 6*b + 3*b + 4*b.
13*b
Collect the terms in 41*s**2 - 5*s**3 - 2*s**3 + 6*s**3 - 41*s**2.
-s**3
Collect the terms in -10*g**3 - 7*g**3 - 1 + 1.
-17*g**3
Collect the terms in 10*c - 35*c + 3*c + 17*c.
-5*c
Collect the terms in 14*f**3 + 13*f**3 + 4*f**3 + 7*f**3.
38*f**3
Collect the terms in -3*r**2 + 1055*r - 1055*r.
-3*r**2
Collect the terms in 18 - 13*f**2 - 18.
-13*f**2
Collect the terms in 2*s**2 + 5*s - 7*s**3 + 5*s**3 - 5*s.
-2*s**3 + 2*s**2
Collect the terms in -47*v + 27*v + 28*v.
8*v
Collect the terms in -23*x**3 - 1 + 7*x**3 - 1 + 2.
-16*x**3
Collect the terms in -40*v**3 + 9*v - 9*v.
-40*v**3
Collect the terms in -1 - 765*s**2 + 1.
-765*s**2
Collect the terms in 41*m + 74 + 72 - 146.
41*m
Collect the terms in -l - 8*l**2 + 133*l**3 - l + 8*l**2.
133*l**3 - 2*l
Collect the terms in -63*u**3 - 71*u**3 - 69*u**3 + 206*u**3.
3*u**3
Collect the terms in 11*k**2 - 21*k**2 - 2*k**2.
-12*k**2
Collect the terms in 75*k**3 - 169*k**3 + 95*k**3.
k**3
Collect the terms in -6*v**3 + 2*v**3 + 8*v**3.
4*v**3
Collect the terms in 2*u - 8*u - 3*u + 0*u.
-9*u
Collect the terms in 28*x**3 + 13*x**3 + 2*x - 11*x**3.
30*x**3 + 2*x
Collect the terms in -8*y**2 - 3*y - 59 + 3*y + 58.
-8*y**2 - 1
Collect the terms in -230*t**2 - 203*t**2 + 459*t**2.
26*t**2
Collect the terms in -10*h**3 + 34*h**3 + 2*h**3.
26*h**3
Collect the terms in -6*o**2 + 2*o**2 + 4*o**2 + 4*o**3.
4*o**3
Collect the terms in -s**2 + 3*s**2 + 9*s**2 + s**2 - 6*s**2.
6*s**2
Collect the terms in 0*j + 0*j + 165*j**2 - 163*j**2.
2*j**2
Collect the terms in 1101*x - 1101*x - 6*x**2.
-6*x**2
Collect the terms in 16 + 3*o**2 - 15 - 7*o**2 + 2*o**2.
-2*o**2 + 1
Collect the terms in -170*w**2 - 3 + 3 - 1763*w**2.
-1933*w**2
Collect the terms in 49*d - 31*d + 45*d.
63*d
Collect the terms in 8 + 4 + 6*o**2 + 3.
6*o**2 + 15
Collect the terms in 1755*n - n**2 + 1750*n - 3505*n.
-n**2
Collect the terms in 0*z**3 - 5*z**3 + 29*z - 19*z - 17*z.
-5*z**3 - 7*z
Collect the terms in 1850*a + 2 - 18*a + 8527*a.
10359*a + 2
Collect the terms in -2 + 4 + 1 + 0 - 898*m.
-898*m + 3
Collect the terms in 8*d - d - 218 + 218 + 0*d.
7*d
Collect the terms in 277*j**2 - 277*j**2 - 18*j**3.
-18*j**3
Collect the terms in -3*m + 12*m - 2 - 2*m.
7*m - 2
Collect the terms in -5*r**2 + 16*r**2 - 9*r**2.
2*r**2
Collect the terms in -3*l**2 + 19*l**2 + 2*l**2.
18*l**2
Collect the terms in -9*m**3 + 2*m**3 + 4*m**3.
-3*m**3
Collect the terms in 2 - 2 + 19*l - 20*l.
-l
Collect the terms in -5*g**2 - 43*g**3 + 26*g**3 + 5*g**2.
-17*g**3
Collect the terms in -4 + 99*r + 8 - 4.
99*r
Collect the terms in -14*n**2 + n**2 + 9*n**2.
-4*n**2
Collect the terms in -184*u**3 + 419*u**3 - 238*u**3.
-3*u**3
Collect the terms in -12*l**3 + 4*l**3 - 2 + 2.
-8*l**3
Collect the terms in -50*v**2 - 23*v**2 + 83*v**2.
10*v**2
Collect the terms in 9*i - 4*i - 3*i - 5*i.
-3*i
Collect the terms in 18 - 18 - 5*v.
-5*v
Collect the terms in -2*u**3 + 0*u**3 + 3*u**3.
u**3
Collect the terms in 10*r**2 + 3*r**2 + 4*r**2 + 0*r**2.
17*r**2
Collect the terms in -6*t - 4*t - 4*t + 12*t.
-2*t
Collect the terms in 2*t**2 + 3*t - 4*t - 35*t**2 - 5*t**2.
-38*t**2 - t
Collect the terms in -595 - 2*w + 595.
-2*w
Collect the terms in -40*x + 780 - 780.
-40*x
Collect the terms in -170420 + 170420 - 6*f**2 + 8*f**2.
2*f**2
Collect the terms in -131 + 70 + 61 - 3*r.
-3*r
Collect the terms in 14*b**3 - 2*b + 3*b + 0*b.
14*b**3 + b
Collect the terms in 2*r - 2*r + 11*r**2 - 2*r**2.
9*r**2
Collect the terms in 50*s - s**2 - 99*s + 49*s.
-s**2
Collect the terms in w**2 + 44 - 44.
w**2
Collect the terms in 14 + 5*r**2 - 14.
5*r**2
Collect the terms in 7*g**3 + 7*g**3 + 7*g**3 - 20*g**3.
g**3
Collect the terms in -21 + 21 - 8*x**3.
-8*x**3
Collect the terms in 27119*t - t**2 - 27119*t.
-t**2
Collect the terms in 6*b**3 - 15568 + 15568.
6*b**3
Collect the terms in -14*z**2 - 68*z - 61*z + 2*z**2 + 129*z.
-12*z**2
Collect the terms in q**2 - 8*q + 3 + 8*q - 6.
q**2 - 3
Collect the terms in -4 - 8*x**2 + 3*x**2 + 4.
-5*x**2
Collect the terms in -3 - 4 - 1 + 3 + 56*i**2.
56*i**2 - 5
Collect the terms in -62*n + 2 - 4 + 66*n.
4*n - 2
Collect the terms in -3 - 8 + 9 - 7*g**3.
-7*g**3 - 2
Collect the terms in -5*a**3 + 10 + 6*a**3 + 1 - 11.
a**3
Collect the terms in 40*i**3 + 1 + 0 + 189*i**3.
229*i**3 + 1
Collect the terms in -6*t**2 + 2*t**2 - 3*t**2 + 3*t**2.
-4*t**2
Collect the terms in 2*h - 5*h + 3*h - 177*h**2 + 167*h**2.
-10*h**2
Collect the terms in 1556*t**2 - 781*t**2 - 778*t**2.
-3*t**2
Collect the terms in -42*s + 82*s - 14*s**3 - 40*s.
-14*s**3
Collect the terms in -2*o**3 + 5*o**3 - 2*o**3 + 4*o**3.
5*o**3
Collect the terms in -139 + 61 + 13*m + 78.
13*m
Collect the terms in -41 + s + 40*s**2 + 18 + 23.
40*s**2 + s
Collect the terms in 1574*a - 1574*a + 5*a**2.
5*a**2
Collect the terms in -2*f**2 - 3874270*f + 3874270*f.
-2*f**2
Collect the terms in -18*p - 4*p + 7*p.
-15*p
Collect the terms in -67*n - 30*n + 27*n.
-70*n
Collect the terms in -59*k**2 + 4*k**2 - 8*k**2.
-63*k**2
Collect the terms in 62*z**2 + 23*z**2 - 26*z**2.
59*z**2
Collect the terms in -8*r**2 + 26*r - 6*r - 10*r - 7*r.
-8*r**2 + 3*r
Collect the terms in -14*b - 88 + 2*b + 8*b + 3*b.
-b - 88
Collect the terms in 0*w**3 - 2*w**3 + 0*w**3 + 0*w**3.
-2*w**3
Collect the terms in -24*w + 11*w + 4*w + 11*w.
2*w
Collect the terms in -p**3 + 108*p**2 - 214*p**2 + 106*p**2.
-p**3
Collect the terms in -441 + 441 - w**2.
-w**2
Collect the terms in -3728 - 9*c**3 + 3728.
-9*c**3
Collect the terms in -17 + 37 + 11*c**3 - 20.
11*c**3
Collect the terms in 26*p**3 - 26*p**3 + 17*p**3.
17*p**3
Collect the terms in -136*n - 128*n - 4*n + 13*n.
-255*n
Collect the terms in 1 + 210*q - 764*q - 1.
-554*q
Collect the terms in -55*u**2 + 4*u**3 + 55*u**2 - 10*u**3.
-6*u**3
Collect the terms in 2 - 11 - 2*o - 5*o.
-7*o - 9
Collect the terms in -274*w + 274*w + 48*w**2.
48*w**2
Collect the terms in 10*y - 10*y + 3*y**3 - 12*y**3 + 2*y**3.
-7*y**3
Collect the terms in 0 + 172*i**2 - 330*i**2 + 162*i**2 + 0.
4*i**2
Collect the terms in -8*c + 10*c + 2*c.
4*c
Collect the terms in 538*t**3 + 785*t**3 - 237*t**3.
1086*t**3
Collect the terms in 2*d + 3*d**2 + 2*d + 2*d.
3*d**2 + 6*d
Collect the terms in -149*x - 152*x + 296*x.
-5*x
Collect the terms in 16*r**2 + 28*r**2 + 121*r**2.
165*r**2
Collect the terms in 39*w + 49*w + 24*w + 5*w.
117*w
Collect the terms in -35 - 16*j + 14*j + 35.
-2*j
Collect the terms in -62*v**3 - 60*v**3 + 171*v**3 - 84*v**3.
-35*v**3
Collect the terms in -1 + 811*d + 305*d + 1.
1116*d
Collect the terms in 18*w - 8*w**3 - 18*w.
-8*w**3
Collect the terms in -z + 2*z + 7 - 3*z + z.
-z + 7
Collect the terms in -k**2 + k**2 - 1181*k**3.
-1181*k**3
Collect | {
"pile_set_name": "DM Mathematics"
} |
56)/(-6))/(8/(-60)). Suppose 0 = -5*m - 4*x + 766 + 1115, 3*m = -2*x + 1129. Let y = r + m. Is y a composite number?
False
Suppose 0 = m + 3*m - 12, -5*j + 3301 = -3*m. Is j a composite number?
True
Suppose 0 = 4*a - 137 - 39. Let p = a + -7. Is p composite?
False
Suppose -j = -4*j. Suppose 2*b + 2 + j = 0. Is -2 + 54 - (b - 0) a prime number?
True
Let z be (-7)/(((-8)/(-22))/(-4)). Suppose 3*n = z + 118. Suppose -s - 3*a = -20, s - 3*s = a - n. Is s a prime number?
False
Is (-48)/40*55/(-2) a composite number?
True
Let y = 381 + 2. Is (-8)/(-44) + y/11 prime?
False
Suppose -111 - 1 = -5*n + m, -6 = 3*m. Is n composite?
True
Let c = 149 - -186. Is c composite?
True
Let o = 6 + -3. Suppose o*v - y = 16, -v = -2*v + y + 4. Is v prime?
False
Let j be (-2 + (-340)/(-6))*3. Let a = j - -27. Is a a composite number?
False
Suppose -4*q = 2*q + 48. Let m(v) = 7*v + 15. Let y(s) = -4*s - 8. Let b(x) = -3*m(x) - 5*y(x). Is b(q) prime?
True
Suppose 2*g + 121 = 375. Is g prime?
True
Let r = -110 + 61. Let a = 104 + r. Is a prime?
False
Let n(o) = -1. Let m(q) = -q - 10. Let s(v) = -m(v) + 3*n(v). Let h be s(-7). Suppose p + p - 6 = h. Is p a prime number?
True
Let f(d) = 2*d**2 - 4*d + 11. Is f(6) composite?
False
Suppose 2670 = 3*k + 3*u, 985 = -4*k + 5*u + 4527. Suppose -2*y = -2*t - k, -5*y + 0*t = -t - 2232. Is y a prime number?
False
Let k(u) = -148*u - 9. Is k(-6) a composite number?
True
Let k = 629 - 183. Is k a prime number?
False
Let j(o) = o**2 + 4*o - 3. Let s be j(-5). Let c be s - ((-2 - 5) + 3). Is 53 + 3/c*0 a composite number?
False
Let o(d) = d**2 + d + 2. Suppose 3*j + 2*l - 10 = -4, 3*l - 9 = 0. Let g be o(j). Suppose -g*x + 215 = 3*x. Is x a prime number?
True
Let u(n) = 26*n + 1. Let t(o) = -o**3 - 7*o**2 - 7*o - 3. Let c be t(-6). Is u(c) a prime number?
True
Suppose 2*c - 7*j = -2*j + 23, 8 = -c - 4*j. Suppose c*x + 1812 = 8*x. Suppose 0 = 3*l + 4*y + 54 - x, 3*l - y - 399 = 0. Is l composite?
True
Suppose y - 12 = -3*y. Suppose w - 7 + y = 0. Suppose -w*g + k + 75 = g, 0 = -4*g - k + 60. Is g composite?
True
Let i(p) = p**3 - p - 2*p**2 + 2*p + 2*p**2 + 37 - p**2. Is i(0) composite?
False
Suppose 49 + 103 = 4*r. Suppose 4*p = 5*p - r. Is p a composite number?
True
Let n(s) = -2*s - 8. Let c be n(11). Let z = 35 - c. Is z prime?
False
Let c(b) = 81*b**2 - 2*b - 11. Is c(-4) a composite number?
True
Let p = 24 - 18. Is p a prime number?
False
Let h = 2702 + -1791. Is h composite?
False
Let a = -54 - -114. Let o = a + 73. Is o a prime number?
False
Let j(w) = w**3 - 18*w**2 + 3. Let x be j(18). Suppose 5*l = 5, -751 = -3*g - l - x*l. Is g a prime number?
False
Suppose 23 = -w - 4*n + 88, 3*w - 169 = n. Is w composite?
True
Suppose -2*p = 2*p + 2*c - 32, p = -3*c + 18. Is 8/p*(-372)/(-8) prime?
False
Let n(a) = -7*a + 9. Let f(o) = 19*o - 26. Let v(m) = -m. Let t(y) = f(y) - 2*v(y). Let b(r) = 17*n(r) + 6*t(r). Is b(6) a composite number?
True
Suppose -5*h + 4*h - 1 = 0. Let m be 7*1 + 0 + h. Let b(r) = -r**3 + 6*r**2 + r + 1. Is b(m) a composite number?
False
Let z(o) = 2*o**3 + o**2. Let s be z(1). Suppose s*n - 13 = 8. Let y(m) = m**2 - 3*m - 9. Is y(n) composite?
False
Let w = -19 - -9. Let m = w + 2. Is (-435)/(-20) + (-2)/m a composite number?
True
Let s(n) = 2*n**2 + 8*n - 3. Let r(u) = -2*u**3 + 3*u**2 - 3*u + 3. Let w be r(2). Is s(w) a composite number?
True
Let g(v) = 4*v**2 - 2*v - 3. Let x be g(-2). Let o = x + 4. Is o a prime number?
False
Is (1402/(-10))/((-7)/35) composite?
False
Suppose 3*k - 2*r - 6 = 0, -4*k = -3*k - 5*r - 15. Suppose k*g + 275 = 5*g. Is g a prime number?
False
Suppose -5*h = 3*c - 21060, 0 = 3*c - 3*h - 18697 - 2363. Is 2/7 + c/28 a composite number?
False
Let k be (-1)/(-2)*67*-4. Is (-1 - (-2)/4)*k composite?
False
Let o(c) = c**2 + 3. Let i be o(0). Let h(v) = 0 + v**2 + 3 + v - 4 + 12*v**i. Is h(1) a composite number?
False
Suppose 0 = 13*w - 8*w - 20810. Is w composite?
True
Let v(j) be the second derivative of j**6/360 + 7*j**4/12 - j**3/3 - 3*j. Let b(l) be the second derivative of v(l). Is b(0) a prime number?
False
Suppose 0*g + 3*g = 9. Suppose g*c = 2*c + 67. Is c prime?
True
Is (6 - 7) + (468 - -2) a composite number?
True
Let o(k) = -64*k**3 + 2*k**2 + k. Is o(-1) prime?
False
Let n(s) = -s - 4. Let w be n(-6). Suppose -w*i = -12 - 10. Suppose -k - i = -2*k. Is k prime?
True
Suppose -2*m + 4*m - 94 = 0. Is m a composite number?
False
Suppose -12*f + 21847 + 87101 = 0. Is f a prime number?
False
Is (46*2)/(-8 - -10) a composite number?
True
Is ((-1835)/15)/((-2)/42) a composite number?
True
Let p(t) = t**3 + 6*t**2 - 2. Let s be p(-6). Let a be ((-24)/(-3))/s - -3. Is 1/2*a*-194 a prime number?
True
Let w = 6 + -12. Let b(m) = m - m**3 - 2*m**2 - 7 - 8*m - 2*m. Is b(w) a prime number?
True
Let c(n) = n**3 - 2*n**2 + n. Let r be c(2). Let u be 2/(r + 6/(-4)). Is 276/8 - (-2)/u a composite number?
True
Let c(h) = -13*h + 44. Is c(-21) prime?
True
Suppose -3*j = 918 - 2985. Is j prime?
False
Let j be 4/2 - (1 + 0). Let h(y) be the third derivative of 91*y**4/24 - 3*y**2. Is h(j) a prime number?
False
Let h(y) = 38*y**2 - 3*y - 7. Is h(6) a composite number?
True
Let z be (-3)/9 + (-7)/(-3). Suppose -b = -2*b - z. Is 708/8 + b/(-4) composite?
False
Let w(o) = 191*o**3 + o**2 + 2*o - 3. Is w(1) prime?
True
Let r be 1/((5/(-2))/(-5)). Suppose 3*q - 62 = r*q. Is q a prime number?
False
Let b be 4/16 - 30/(-8). Suppose 2*g - 2*c = 48, -20 = b*g - 5*c - 120. Is ((-5)/10)/((-1)/g) composite?
True
Suppose 4*n + 256 + 203 = b, 0 = 2*b - 3*n - 898. Is b prime?
True
Suppose 0 = -15*y + 10*y + 1475. Is y a prime number?
False
Suppose d - 2*s - 3*s = 26, 0 = d - s - 10. Suppose -3*l = -d*l + 9. Suppose -l*u + 57 = -0*u. Is u a composite number?
False
Let b(d) = -18*d - 1. Let w = 5 - 8. Is b(w) prime?
True
Suppose 5*o - 30 = 4*p, -5*p + 0*p - 25 = 0. Let g(x) be the third derivative of 3*x**5/10 + x**4/12 + x**3/6 - 2*x**2. Is g(o) composite?
True
Suppose -v + 8*w - 3*w = -714, 0 = -2*v - 2*w + 1440. Is v a prime number?
True
Let z be (55/10)/((-1)/(-6)). Let k = 64 - z. Is k composite?
False
Suppose t - 18 = 5*z, -8*z + 3*z - 2*t - 24 = 0. Let n be z/(-2*(-3)/615). Let s = -249 - n. Is s a prime number?
False
Let o(x) = 44*x**3 - 2 + 3 - x**2 + 2*x - 3 - 7*x**3. Let c be o(2). Suppose -150 - c = -4*r. Is r prime?
False
Let z be (3/5)/((-1)/(-85)). Let v(j) = 4*j + 4. Let t be v(-9). Let u = t + z. Is u composite?
False
Suppose 0 = 3*a + 2*y + 90, y + 3*y - 172 = 5*a. Is a/(-2 + 1) + -1 a composite number?
False
Suppose -z + 3*z = 3*m - 79, -2*z - 103 = 5*m. Let i = z - -81. Is i prime?
True
Let s = 482 - -1839. Is s a composite number?
True
Let s be (0*1/(-3))/(-2). Suppose -101 = -5*b - s*b - o, 2*o = -4*b + 82. Let g = -14 + b. Is g a prime number?
False
Suppose -16023 = -5*j + 3*h, j = 2*h + 3*h + 3187. Is j prime?
False
Let t be 3*((-48)/(-9) - 2). Let v(q) = 0*q + 3 + 3*q + 0*q + t*q**2. Is v(-2) a composite number?
False
Let n = -4 - -7. Suppose -n*p - 427 = -2*x - 8*p, p = 5. Is x a composite number?
True
Suppose 12*d - 13*d = -23. Is d composite?
False
Let l(x) = 6*x**2 - 12*x + 1. Is l(6) a composite number?
True
Let u(b) = b**3 + 4*b**2 - 5*b + 1. Let p be u(-4). Let n be 32/14 + (-6)/p. Suppose -n*r + 4*l + 113 = 23, 4*r - 2*l - 204 = 0. Is r a prime number?
True
Let p = 37 - 16. Is p a composite number?
True
Suppose 0 = o + 1 - 6. Suppose 0 = -o*v + 2*p + 188 + 299, -3*v = -4*p - 295. Is v composite?
False
Let j = 49 + -27. Is j a composite number?
True
Let b = 4 - 7. Suppose 114 = 5*d + 359. Is (-2)/(-4)*(b - d) a composite number?
False
Suppose -2*q - 3*v = -762, -4*v - v = 3*q - 1143. Is (0 - -3)*q/9 composite?
False
Let n(r) = 7*r**2 - 3. Let x be n(-7). Suppose -2*q + x = 2*q. Is q a composite number?
True
Let p = 159 - 66. Let k = 242 + p. Is k a composite number?
True
Suppose -5*r + 5 - 15 = 0. Let m(i) = -15*i**3 + 3*i**2 + 2*i + 3. Is m(r) a prime number?
True
Suppose -c - 66 = -3*c. Is c a composite number?
True
Let n = -25 + 40. Let f be (-1)/5 - (-243)/n. Suppose 2*c = -o + f, -5*o + c = -3*c - 66. Is o a prime number?
False
Let p(x) = 93*x**2 - 8*x. Let b(g) = 62*g**2 - 5*g. Let f(d) = 8*b(d) - 5*p(d). Is f(-1) a prime number?
True
Suppose -5*p + 3389 - 1324 = 0. Is p com | {
"pile_set_name": "DM Mathematics"
} |
it of 1520?
0
What is the tens digit of 168?
6
What is the tens digit of 56?
5
What is the tens digit of 21666?
6
What is the hundreds digit of 20416?
4
What is the units digit of 46058?
8
What is the units digit of 246?
6
What is the ten thousands digit of 21907?
2
What is the tens digit of 619?
1
What is the tens digit of 1835?
3
What is the tens digit of 18665?
6
What is the units digit of 33998?
8
What is the units digit of 1759?
9
What is the thousands digit of 116927?
6
What is the ten thousands digit of 35501?
3
What is the units digit of 50464?
4
What is the units digit of 987?
7
What is the units digit of 622?
2
What is the units digit of 1179?
9
What is the hundreds digit of 2927?
9
What is the units digit of 7790?
0
What is the units digit of 143971?
1
What is the ten thousands digit of 54437?
5
What is the units digit of 1926?
6
What is the thousands digit of 13364?
3
What is the hundreds digit of 8314?
3
What is the units digit of 4030?
0
What is the units digit of 38628?
8
What is the thousands digit of 1704?
1
What is the thousands digit of 13351?
3
What is the thousands digit of 3612?
3
What is the thousands digit of 9705?
9
What is the hundreds digit of 13855?
8
What is the thousands digit of 138128?
8
What is the hundreds digit of 583?
5
What is the tens digit of 3295?
9
What is the thousands digit of 9215?
9
What is the thousands digit of 7560?
7
What is the thousands digit of 2604?
2
What is the units digit of 852?
2
What is the units digit of 784?
4
What is the thousands digit of 16019?
6
What is the tens digit of 4601?
0
What is the ten thousands digit of 47254?
4
What is the units digit of 171?
1
What is the units digit of 5007?
7
What is the tens digit of 1721?
2
What is the units digit of 22625?
5
What is the hundreds digit of 9049?
0
What is the units digit of 3316?
6
What is the hundreds digit of 553?
5
What is the tens digit of 3073?
7
What is the ten thousands digit of 21014?
2
What is the tens digit of 1767?
6
What is the thousands digit of 1105?
1
What is the tens digit of 80796?
9
What is the tens digit of 40129?
2
What is the hundreds digit of 427?
4
What is the hundreds digit of 331?
3
What is the thousands digit of 25197?
5
What is the units digit of 1293?
3
What is the tens digit of 5654?
5
What is the tens digit of 329?
2
What is the hundreds digit of 2096?
0
What is the tens digit of 81992?
9
What is the ten thousands digit of 28606?
2
What is the tens digit of 4694?
9
What is the thousands digit of 9348?
9
What is the tens digit of 705?
0
What is the units digit of 4805?
5
What is the hundreds digit of 2336?
3
What is the units digit of 5047?
7
What is the thousands digit of 58509?
8
What is the hundreds digit of 87752?
7
What is the hundreds digit of 558?
5
What is the tens digit of 85?
8
What is the tens digit of 28391?
9
What is the hundreds digit of 10216?
2
What is the units digit of 3308?
8
What is the ten thousands digit of 16193?
1
What is the units digit of 703?
3
What is the hundreds digit of 3081?
0
What is the tens digit of 2494?
9
What is the units digit of 28087?
7
What is the units digit of 26364?
4
What is the units digit of 3087?
7
What is the hundreds digit of 9335?
3
What is the units digit of 77153?
3
What is the units digit of 7495?
5
What is the tens digit of 86664?
6
What is the hundreds digit of 2988?
9
What is the ten thousands digit of 20467?
2
What is the hundreds digit of 4847?
8
What is the thousands digit of 2018?
2
What is the tens digit of 9717?
1
What is the hundreds digit of 1117?
1
What is the tens digit of 1210?
1
What is the hundreds digit of 622?
6
What is the tens digit of 4065?
6
What is the units digit of 2962?
2
What is the tens digit of 2069?
6
What is the hundreds digit of 3668?
6
What is the tens digit of 2814?
1
What is the hundreds digit of 18481?
4
What is the hundreds digit of 16291?
2
What is the tens digit of 1313?
1
What is the ten thousands digit of 135923?
3
What is the tens digit of 569?
6
What is the ten thousands digit of 48617?
4
What is the thousands digit of 4701?
4
What is the hundreds digit of 15392?
3
What is the tens digit of 40463?
6
What is the units digit of 354?
4
What is the thousands digit of 1817?
1
What is the units digit of 484?
4
What is the thousands digit of 2112?
2
What is the units digit of 688?
8
What is the hundreds digit of 14572?
5
What is the tens digit of 559?
5
What is the thousands digit of 3210?
3
What is the units digit of 70359?
9
What is the units digit of 13220?
0
What is the thousands digit of 60250?
0
What is the thousands digit of 1201?
1
What is the hundreds digit of 3252?
2
What is the units digit of 177?
7
What is the tens digit of 2334?
3
What is the units digit of 122?
2
What is the hundreds digit of 210?
2
What is the tens digit of 5055?
5
What is the units digit of 62?
2
What is the hundreds digit of 1838?
8
What is the hundreds digit of 34697?
6
What is the hundreds digit of 21346?
3
What is the units digit of 325?
5
What is the units digit of 60?
0
What is the ten thousands digit of 12432?
1
What is the tens digit of 254?
5
What is the hundreds digit of 15378?
3
What is the hundreds digit of 4911?
9
What is the hundreds digit of 6312?
3
What is the hundreds digit of 4011?
0
What is the thousands digit of 1485?
1
What is the units digit of 1806?
6
What is the thousands digit of 2239?
2
What is the tens digit of 10265?
6
What is the hundred thousands digit of 152746?
1
What is the thousands digit of 4416?
4
What is the units digit of 26095?
5
What is the hundreds digit of 44031?
0
What is the thousands digit of 25712?
5
What is the hundreds digit of 13909?
9
What is the hundreds digit of 86644?
6
What is the hundreds digit of 1100?
1
What is the hundreds digit of 55402?
4
What is the tens digit of 20?
2
What is the hundreds digit of 209?
2
What is the units digit of 14240?
0
What is the units digit of 5085?
5
What is the hundreds digit of 447?
4
What is the units digit of 98986?
6
What is the tens digit of 22489?
8
What is the hundreds digit of 151551?
5
What is the hundreds digit of 562?
5
What is the tens digit of 849?
4
What is the thousands digit of 1640?
1
What is the tens digit of 76429?
2
What is the ten thousands digit of 91448?
9
What is the thousands digit of 6779?
6
What is the units digit of 7040?
0
What is the units digit of 27437?
7
What is the hundreds digit of 25325?
3
What is the tens digit of 16595?
9
What is the units digit of 897?
7
What is the hundreds digit of 1082?
0
What is the units digit of 2786?
6
What is the thousands digit of 1367?
1
What is the units digit of 48246?
6
What is the hundreds digit of 22185?
1
What is the tens digit of 646?
4
What is the hundreds digit of 807?
8
What is the tens digit of 53436?
3
What is the hundreds digit of 78679?
6
What is the hundreds digit of 7315?
3
What is the units digit of 997?
7
What is the hundreds digit of 155?
1
What is the thousands digit of 2824?
2
What is the units digit of 3171?
1
What is the hundreds digit of 1260?
2
What is the tens digit of 3897?
9
What is the thousands digit of 13097?
3
What is the units digit of 1430?
0
What is the hundreds digit of 91435?
4
What is the thousands digit of 37073?
7
What is the hundreds digit of 36023?
0
What is the tens digit of 11022?
2
What is the thousands digit of 17310?
7
What is the units digit of 6219?
9
What is the hundreds digit of 6991?
9
What is the units digit of 6410?
0
What is the tens digit of 1252?
5
What is the hundreds digit of 35505?
5
What is the units digit of 1051?
1
What is the hundreds digit of 1181?
1
What is the hundreds digit of 1627?
6
What is the hundreds digit of 774?
7
What is the units digit of 10726?
6
What is the units digit of 32947?
7
What is the hundreds digit of 1144?
1
What is the units digit of 15506?
6
What is the thousands digit of 17693?
7
What is the tens digit of 53?
5
What is the units digit of 8729?
9
What is the hundreds digit of 1328?
3
What is the hundreds digit of 28549?
5
What is the tens digit of 60022?
2
What is the tens digit of 56?
5
What is the units digit of 938?
8
What is the tens digit of 15323?
2
What is the tens digit of 37?
3
What is the tens digit of 7571?
7
What is the hundreds digit of 7567?
5
What is the units digit of 161 | {
"pile_set_name": "DM Mathematics"
} |
6
What is 2515 to the power of 1/8, to the nearest integer?
3
What is 25757 to the power of 1/2, to the nearest integer?
160
What is 120673 to the power of 1/2, to the nearest integer?
347
What is 1420 to the power of 1/2, to the nearest integer?
38
What is the cube root of 10695 to the nearest integer?
22
What is the square root of 902 to the nearest integer?
30
What is the cube root of 4799 to the nearest integer?
17
What is the ninth root of 636 to the nearest integer?
2
What is 1233 to the power of 1/6, to the nearest integer?
3
What is 537 to the power of 1/8, to the nearest integer?
2
What is 64195 to the power of 1/3, to the nearest integer?
40
What is the third root of 12213 to the nearest integer?
23
What is 6028 to the power of 1/2, to the nearest integer?
78
What is 116235 to the power of 1/3, to the nearest integer?
49
What is 46852 to the power of 1/2, to the nearest integer?
216
What is the third root of 1796 to the nearest integer?
12
What is 2475 to the power of 1/3, to the nearest integer?
14
What is 709 to the power of 1/8, to the nearest integer?
2
What is the cube root of 6 to the nearest integer?
2
What is the cube root of 112488 to the nearest integer?
48
What is the seventh root of 1615 to the nearest integer?
3
What is the third root of 2022 to the nearest integer?
13
What is the square root of 1484 to the nearest integer?
39
What is the seventh root of 56950 to the nearest integer?
5
What is the cube root of 792 to the nearest integer?
9
What is 38670 to the power of 1/10, to the nearest integer?
3
What is the square root of 2058 to the nearest integer?
45
What is the square root of 458 to the nearest integer?
21
What is 8383 to the power of 1/6, to the nearest integer?
5
What is 67254 to the power of 1/2, to the nearest integer?
259
What is 70 to the power of 1/9, to the nearest integer?
2
What is 2150 to the power of 1/2, to the nearest integer?
46
What is 4103 to the power of 1/9, to the nearest integer?
3
What is 199 to the power of 1/2, to the nearest integer?
14
What is 2366 to the power of 1/5, to the nearest integer?
5
What is 73103 to the power of 1/4, to the nearest integer?
16
What is 8736 to the power of 1/2, to the nearest integer?
93
What is the third root of 1505 to the nearest integer?
11
What is the ninth root of 2221 to the nearest integer?
2
What is the third root of 603 to the nearest integer?
8
What is the eighth root of 60142 to the nearest integer?
4
What is 22080 to the power of 1/2, to the nearest integer?
149
What is the square root of 36137 to the nearest integer?
190
What is the tenth root of 78621 to the nearest integer?
3
What is 1185 to the power of 1/5, to the nearest integer?
4
What is the square root of 19901 to the nearest integer?
141
What is 770 to the power of 1/7, to the nearest integer?
3
What is 218 to the power of 1/5, to the nearest integer?
3
What is 58993 to the power of 1/9, to the nearest integer?
3
What is the third root of 2021 to the nearest integer?
13
What is 2752 to the power of 1/2, to the nearest integer?
52
What is the cube root of 7621 to the nearest integer?
20
What is the third root of 14345 to the nearest integer?
24
What is 84195 to the power of 1/3, to the nearest integer?
44
What is the third root of 416 to the nearest integer?
7
What is 195 to the power of 1/5, to the nearest integer?
3
What is the cube root of 8539 to the nearest integer?
20
What is 3586 to the power of 1/2, to the nearest integer?
60
What is the square root of 9083 to the nearest integer?
95
What is the cube root of 2369 to the nearest integer?
13
What is the fourth root of 3064 to the nearest integer?
7
What is 9871 to the power of 1/2, to the nearest integer?
99
What is 853 to the power of 1/2, to the nearest integer?
29
What is the square root of 84109 to the nearest integer?
290
What is the cube root of 4119 to the nearest integer?
16
What is 7418 to the power of 1/2, to the nearest integer?
86
What is 2592 to the power of 1/2, to the nearest integer?
51
What is the third root of 1175 to the nearest integer?
11
What is the fifth root of 49867 to the nearest integer?
9
What is 1186 to the power of 1/6, to the nearest integer?
3
What is 18883 to the power of 1/2, to the nearest integer?
137
What is the tenth root of 45712 to the nearest integer?
3
What is the square root of 4645 to the nearest integer?
68
What is the square root of 17865 to the nearest integer?
134
What is 68 to the power of 1/8, to the nearest integer?
2
What is the square root of 761 to the nearest integer?
28
What is 86953 to the power of 1/2, to the nearest integer?
295
What is the fourth root of 805 to the nearest integer?
5
What is 1208 to the power of 1/7, to the nearest integer?
3
What is 1056 to the power of 1/7, to the nearest integer?
3
What is the third root of 11223 to the nearest integer?
22
What is the cube root of 135287 to the nearest integer?
51
What is 53673 to the power of 1/3, to the nearest integer?
38
What is 5520 to the power of 1/2, to the nearest integer?
74
What is the square root of 13240 to the nearest integer?
115
What is 19362 to the power of 1/4, to the nearest integer?
12
What is 4412 to the power of 1/3, to the nearest integer?
16
What is the fourth root of 9479 to the nearest integer?
10
What is 1692 to the power of 1/3, to the nearest integer?
12
What is the eighth root of 2133 to the nearest integer?
3
What is the square root of 14081 to the nearest integer?
119
What is the cube root of 654 to the nearest integer?
9
What is the fifth root of 1857 to the nearest integer?
5
What is 78661 to the power of 1/2, to the nearest integer?
280
What is 1414 to the power of 1/9, to the nearest integer?
2
What is the square root of 95823 to the nearest integer?
310
What is 9696 to the power of 1/4, to the nearest integer?
10
What is 7777 to the power of 1/4, to the nearest integer?
9
What is 11802 to the power of 1/9, to the nearest integer?
3
What is the cube root of 2662 to the nearest integer?
14
What is 137374 to the power of 1/8, to the nearest integer?
4
What is the third root of 4609 to the nearest integer?
17
What is the cube root of 2711 to the nearest integer?
14
What is the ninth root of 43425 to the nearest integer?
3
What is the sixth root of 96 to the nearest integer?
2
What is 2679 to the power of 1/2, to the nearest integer?
52
What is 34611 to the power of 1/2, to the nearest integer?
186
What is 34020 to the power of 1/7, to the nearest integer?
4
What is the seventh root of 5562 to the nearest integer?
3
What is the cube root of 7025 to the nearest integer?
19
What is 97313 to the power of 1/2, to the nearest integer?
312
What is the cube root of 3966 to the nearest integer?
16
What is the square root of 16252 to the nearest integer?
127
What is 304 to the power of 1/3, to the nearest integer?
7
What is 94007 to the power of 1/8, to the nearest integer?
4
What is 2418 to the power of 1/7, to the nearest integer?
3
What is the square root of 6119 to the nearest integer?
78
What is the fifth root of 2782 to the nearest integer?
5
What is the cube root of 36428 to the nearest integer?
33
What is 53107 to the power of 1/2, to the nearest integer?
230
What is 154938 to the power of 1/2, to the nearest integer?
394
What is the cube root of 7201 to the nearest integer?
19
What is the fifth root of 104725 to the nearest integer?
10
What is 13459 to the power of 1/10, to the nearest integer?
3
What is the ninth root of 466 to the nearest integer?
2
What is the eighth root of 1173 to the nearest integer?
2
What is 9714 to the power of 1/9, to the nearest integer?
3
What is the third root of 54796 to the nearest integer?
38
What is 876 to the power of 1/2, to the nearest integer?
30
What is 510 to the power of 1/9, to the nearest integer?
2
What is 416 to the power of 1/2, to the nearest integer?
20
What is the square root of 15278 to the nearest integer?
124
What is 31478 to the power of 1/8, to the nearest integer?
4
What is the ninth root of 68653 to the nearest integer?
3
What is the cube root of 1734 to the nearest integer?
12
What is the fourth root of 735 to the nearest integer?
5
What is the fifth root of 14069 to the nearest integer?
7
What is 18960 to the power of 1/3, to | {
"pile_set_name": "DM Mathematics"
} |
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