text stringlengths 270 8.19k | meta dict |
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484*r**2
Let i(f) = 2*f**2 + f. Let t(m) = -43*m. What is i(t(y))?
3698*y**2 - 43*y
Let b(q) = 2*q + 2 - 2. Let l(j) be the third derivative of -j**4/3 + 264*j**2. Give b(l(u)).
-16*u
Let c(r) = -r**2 - 2*r + 2. Let g be c(-2). Let l(y) = -y - g*y + y. Let k(q) be the third derivative of q**4/12 + q**2. What is l(k(a))?
-4*a
Let k(v) = -v. Let i(h) = -h. Let d(f) = 5*i(f) - 6*k(f). Let y(l) = -2*l**2 - 31. Calculate d(y(x)).
-2*x**2 - 31
Suppose 4*u - 2*q - 28 = 0, 0*q - 6 = -2*u - 3*q. Let p(a) = -5*a + u*a + 3 - 3. Let n(i) be the third derivative of -i**5/60 + i**2. What is n(p(x))?
-x**2
Suppose -4*g - 4*v + 2*v = -12, -4*g + 12 = -v. Let m(j) = -6*j - 8. Let o(a) = 2*a + 3. Let q(f) = g*m(f) + 8*o(f). Let k(u) = -17*u**2. Determine k(q(p)).
-68*p**2
Let b(c) = c. Let y(z) be the first derivative of -z**2/2 + z - 1. Let w(f) = 4*f**2 + 3*f - 3. Let t(i) = w(i) + 3*y(i). What is b(t(r))?
4*r**2
Let i(a) = 4*a. Let b = 10 + -7. Let j(w) = -b*w + 4*w - 3*w**2 - w. What is j(i(c))?
-48*c**2
Let u(r) = -3*r. Let q(t) = 3*t**2 - 36. What is u(q(j))?
-9*j**2 + 108
Let n(o) = 7*o + 6. Let j(y) = -13*y - 11. Let v(u) = -6*j(u) - 11*n(u). Let x(m) = -m. Let g be x(-2). Let s(k) = 6*k - k**g - 6*k. Determine s(v(t)).
-t**2
Let f(v) = -500*v**2. Let o(g) = 2*g**2. Give o(f(k)).
500000*k**4
Let v(k) be the third derivative of k**6/360 - k**3/3 + k**2. Let q(x) be the first derivative of v(x). Let z(m) = -m**2. Calculate q(z(f)).
f**4
Let j(y) = -2358*y**2. Let k(b) = 2*b**2. What is j(k(z))?
-9432*z**4
Let w(r) = 6*r. Let n(h) be the third derivative of h**4/3 - 11*h**2. What is w(n(l))?
48*l
Let z(k) = -2*k**2 + 2*k. Let m(c) = 7*c**2 - 9*c. Let v(i) = 4*m(i) + 18*z(i). Let g(x) = -2*x**2. What is v(g(q))?
-32*q**4
Let z(r) be the first derivative of 3/2*r**2 - 4 + 0*r. Let u(a) = 3*a**2. Give z(u(w)).
9*w**2
Let p(c) = -2*c**2. Let u(y) = -3903*y. What is u(p(m))?
7806*m**2
Let l(p) = -3*p. Let q(j) be the third derivative of -j**7/2520 - j**5/30 + 6*j**2. Let o(u) be the third derivative of q(u). Calculate l(o(v)).
6*v
Let f(t) = -6*t**2. Let c(v) = 12*v - 1. Calculate c(f(d)).
-72*d**2 - 1
Let b(x) be the second derivative of x**4/12 - 8*x. Let t(i) = -2*i. Give t(b(q)).
-2*q**2
Let a(b) = 4*b**2 - 7*b - 10. Let o(l) = 2*l**2. Give a(o(s)).
16*s**4 - 14*s**2 - 10
Let l(i) = -2*i**2 - 2. Let o(c) = 2*c**2 + 3. Let m(r) = -6*l(r) - 4*o(r). Let y(d) = 2*d**2. What is y(m(f))?
32*f**4
Suppose 5*k - 14 = -2*v, 3*k = 2*v + v. Let z(u) = -u**v + 5*u**2 + 2*u - 2*u. Let i(q) = q**2. Determine i(z(g)).
16*g**4
Let i = -17 - 1. Let k be 2/(-8) + i/(-8). Let n(t) = -t**2 + k*t**2 + 0*t**2. Let y(q) = -q**2. What is n(y(g))?
g**4
Let y(q) = -2*q**2. Let t(n) = -4 + n + 4 - 16*n. Calculate t(y(d)).
30*d**2
Let j(b) = 2*b**2. Let z(c) = -41*c. Calculate j(z(x)).
3362*x**2
Let r(o) be the third derivative of 19*o**5/60 + 14*o**2. Let a(x) = -x. Give r(a(k)).
19*k**2
Let z(t) = -47*t. Let x(y) = -8 + 8 + 5*y - 6*y. What is x(z(q))?
47*q
Let a(r) = -472*r + 3. Let c(l) = 2*l**2. Determine c(a(h)).
445568*h**2 - 5664*h + 18
Suppose 4*w - 37 = -5. Let b(c) = -8 + w - c. Let x(u) = -5*u. What is b(x(h))?
5*h
Let g(y) = -y**2. Let c(k) be the second derivative of k**4/2 - k. Determine g(c(z)).
-36*z**4
Let w = -6 - -4. Let d(l) = 3*l. Let z(m) = -10*m. Let x(a) = w*z(a) - 7*d(a). Let c(b) = -3*b. Determine x(c(v)).
3*v
Let m(c) = -35*c**2. Let d(g) = -22*g. What is m(d(z))?
-16940*z**2
Let t(b) = -3*b**2. Let g(r) = 3*r + 2. Let p(i) = -10*i - 7. Let a(h) = 21*g(h) + 6*p(h). Determine t(a(k)).
-27*k**2
Let b(j) be the first derivative of 2*j**2 - 2. Let n(q) be the second derivative of -q**4/12 - 6*q. What is b(n(s))?
-4*s**2
Let b(x) = 5*x**2. Let r = -13 + 17. Let u(f) = -r*f**2 - 4*f**2 + 4*f**2 + 2*f**2. Calculate u(b(i)).
-50*i**4
Let j(q) = 3*q**2 - 453. Let c(h) = -2*h. What is c(j(y))?
-6*y**2 + 906
Let u(r) = -305*r. Let m(n) = 28*n**2. Calculate u(m(k)).
-8540*k**2
Let j(m) = -3*m + 41. Let u(k) = 3*k. Calculate j(u(c)).
-9*c + 41
Let m(s) = -4*s**2. Let o be ((-108)/8)/(2/4). Let u = -19 - o. Let q(i) = -6*i. Let l(b) = 2*b. Let d(y) = u*l(y) + 3*q(y). What is m(d(g))?
-16*g**2
Let o(c) = 2*c. Let x(l) = -17*l**2 - 14*l. What is o(x(b))?
-34*b**2 - 28*b
Let q(z) be the first derivative of z**2 - 5. Let a(y) = -5*y. Give a(q(m)).
-10*m
Let y(s) be the second derivative of -3*s**4/4 + 24*s. Let p(i) = -2*i. Give p(y(t)).
18*t**2
Let x(n) = 8*n. Let g(w) be the second derivative of w**4/6 - 17*w. Give x(g(p)).
16*p**2
Let w(x) = 2*x**2. Let v(d) = -d - 5 + 5*d - d. Let l(j) be the second derivative of j**3/3 - 3*j**2/2 - 6*j. Let a(f) = 10*l(f) - 6*v(f). Calculate w(a(z)).
8*z**2
Let k(v) be the third derivative of v**4/24 - 3*v**2. Suppose -4 = -4*z + 2*z. Let p(b) = -3 + 3 - z*b. What is k(p(w))?
-2*w
Let s(a) = -a**2. Let q(k) = -6*k**2 - 46. What is s(q(n))?
-36*n**4 - 552*n**2 - 2116
Let m(o) = -o**3 - 8*o**2 + 2*o + 11. Let f be m(-8). Let y(p) = 7*p. Let s(i) = 6*i. Let n(d) = f*y(d) + 6*s(d). Let c(v) = 4*v. Calculate c(n(w)).
4*w
Let m(s) = 7*s**2. Let z(v) = -4*v + 5181 - 5181. Calculate m(z(y)).
112*y**2
Let p(v) = -3*v + 8. Let s(i) = 1. Let h(m) = 3*p(m) - 24*s(m). Let t(x) = -x. Determine t(h(g)).
9*g
Let w(g) = 2*g**2. Let h(b) = 45*b - 9. Let u(o) = -11*o + 2. Let r(p) = 2*h(p) + 9*u(p). Give r(w(q)).
-18*q**2
Let s(h) = -2*h. Let q(g) = 1. Let b(d) = -d + 2. Let w be (-3)/(-6) + (-3)/(-2). Suppose -n + 0 + w = 0. Let f(k) = n*q(k) - b(k). What is f(s(v))?
-2*v
Let v(w) = -2*w**2. Let n(h) = -38*h - 5. Let m(l) = -495*l - 66. Let j(i) = 5*m(i) - 66*n(i). Determine v(j(x)).
-2178*x**2
Suppose 2*c - 37 = -1. Suppose -c = 5*v - 8*v. Let t(q) = 2*q - 2*q + 8*q**2 - v*q**2. Let p(i) = i**2. What is t(p(x))?
2*x**4
Let j(t) = 9*t**2 - 28*t. Let f(x) = -x**2. Give f(j(v)).
-81*v**4 + 504*v**3 - 784*v**2
Let c = -15 - -15. Let q(z) be the first derivative of -3/2*z**2 - 1 + c*z. Let u(m) = m. Give q(u(x)).
-3*x
Let t(i) = -3*i - 4. Let u(m) = 2*m + 3. Let o(z) = 3*t(z) + 4*u(z). Let s(n) be the third derivative of 0*n**3 - 1/24*n**4 + 0 - 2*n**2 + 0*n. Give o(s(l)).
l
Let u(s) = 5*s**2. Let g(n) = 900*n**2. What is g(u(o))?
22500*o**4
Let x(j) = 64*j. Let n(f) = 25*f**2. Calculate n(x(r)).
102400*r**2
Let q(x) be the second derivative of -x**4/12 - 3*x. Let t(v) = 21*v. Determine q(t(k)).
-441*k**2
Let i(z) = z. Let w(b) = b**2 - 1. Let a(l) = 1. Let h(x) = -3*x**2 + 10. Let r(p) = 6*a(p) - h(p). Let o(c) = -3*r(c) + 12*w(c). Determine i(o(j)).
3*j**2
Let q = 6 + -4. Let d be q - 1/2*0. Let m(i) = -6*i**2 - 2*i. Let s(x) = -13*x**2 - 5*x. Let v(z) = d*s(z) - 5*m(z). Let n(r) = -r**2. Calculate n(v(t)).
-16*t**4
Let u(v) be the third derivative of 0*v**3 + 0 + 5*v**2 + 0*v + 1/10*v**5 + 0*v**4. Let j(k) = k**2. Calculate u(j(z)).
6*z**4
Let u(c) = -3*c + 19*c + 42 - 15 - 18*c. Let s(g) = -3*g. Calculate s(u(m)).
6*m - 81
Let u(d) = 16*d**2 - 20*d. Let m(w) = -20*w. Let x be m(-1). Let g(y) = y**2 - y. Let c(i) = x*g(i) - u(i). Let o(s) = -2*s. Calculate o(c(f)).
-8*f**2
Let n be ((-16)/28)/((-2)/7). Let p(c) = 23*c - 23*c + c**n. Let t(h) = 3*h**2. What is t(p(j))?
3*j**4
Let t(o) = 25*o**2. Let u(j) = 58*j**2. What is u(t(v))?
36250*v**4
Let v(o) = -o**2 - o - 1. Let k(c) = 24*c**2 + 16*c + 16. Let w(q) = k(q) + 16*v(q). Let t(s) = -2*s. What is w(t(x))?
32*x**2
Let w(v) = 10*v**2 + v**2 - 5*v**2 - 4*v**2. Let m(s) be the first derivative of -2*s**3 + 1. Give m(w(a)).
-24*a**4
Let o(j) = 9 - 20 - 3*j + 11. Let x(h) = -4*h**2. What is x(o(v))?
-36*v**2
Let z(w) = 5*w**2. Let u(a) be the second derivative of a**4/12 - a**2/2 - a. Let b(h) be the first derivative of u(h). What is b(z(j))?
10*j**2
Let a(t) = 5*t**2 - 4*t + 4. Let q(s) = 11*s**2 - 9*s + 9. Let g(d) = -9*a(d) + 4*q(d). Let p(o) = -4*o + 5*o + 7*o. Calculate g(p(x)).
-64*x**2
Let h(k) = 11*k**2 - 3*k. Let j(a) = 11*a. Calculate h(j(n)).
1331*n**2 - 33*n
Let l(n) = 3 - n**2 - 3. Let a(h) = 0*h + 9*h - 7*h. What is a(l(p))?
-2*p**2
Suppose 5*w = -b - 0*b + 14, 5*b + 4*w = 28. Suppose -b = s - 2*s. Let u(h) = h - s*h + h. Let t(f) = 2*f. Determine t(u(c)).
-4*c
Let t(c) = -c**2. Suppose 0 = o - 5*o. Let j(a) = -2*a**2 + o*a**2 + 4*a**2 - a**2. What is j(t(i))?
i**4
Let q(w) = 2*w**2. Let d | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from zgbbbjjjbbgbggfj. Give prob of sequence gg.
1/20
What is prob of sequence rx when two letters picked without replacement from dddrx?
1/20
Two letters picked without replacement from {o: 1, f: 12, p: 5}. Give prob of sequence ff.
22/51
What is prob of sequence wwo when three letters picked without replacement from jijwiowzk?
1/252
Two letters picked without replacement from {u: 1, i: 1, q: 5, e: 4, w: 3}. What is prob of sequence uw?
3/182
Two letters picked without replacement from {b: 1, q: 2, o: 2, d: 2, s: 1}. What is prob of sequence so?
1/28
What is prob of sequence ekkf when four letters picked without replacement from {f: 2, e: 3, k: 2, c: 13}?
1/9690
Three letters picked without replacement from {p: 3, r: 4}. Give prob of sequence prp.
4/35
What is prob of sequence cucu when four letters picked without replacement from uccccuccccccccccccc?
1/171
Two letters picked without replacement from dthtxrv. What is prob of sequence rh?
1/42
Four letters picked without replacement from dppddpddppdp. What is prob of sequence dppp?
2/33
What is prob of sequence ooyv when four letters picked without replacement from kkokvvvuuyuykovkvvvv?
4/14535
Three letters picked without replacement from {m: 4, p: 3, j: 4, u: 7}. What is prob of sequence jjj?
1/204
What is prob of sequence nne when three letters picked without replacement from neneueea?
1/42
Four letters picked without replacement from mdleddwdmlejdddwd. What is prob of sequence jwew?
1/14280
Three letters picked without replacement from cadacdaaccacqccda. Give prob of sequence qaa.
1/136
Two letters picked without replacement from {a: 6, o: 2, f: 2, b: 2}. Give prob of sequence ff.
1/66
What is prob of sequence qbd when three letters picked without replacement from {d: 9, h: 4, q: 2, i: 1, b: 1}?
3/680
What is prob of sequence kshs when four letters picked without replacement from kkkskhkkskhsh?
21/2860
What is prob of sequence jqnq when four letters picked without replacement from {c: 4, j: 2, n: 2, q: 3}?
1/330
Two letters picked without replacement from {r: 1, a: 1, k: 1, o: 2, l: 1, h: 2}. Give prob of sequence oh.
1/14
Four letters picked without replacement from {h: 5, n: 3, l: 3}. Give prob of sequence hlnh.
1/44
Calculate prob of sequence rsx when three letters picked without replacement from ttrrsstsrtsssex.
3/455
Two letters picked without replacement from {r: 5, z: 2, d: 1, g: 2, p: 2, s: 1}. What is prob of sequence rd?
5/156
Three letters picked without replacement from pidtuwt. What is prob of sequence pdi?
1/210
Calculate prob of sequence ce when two letters picked without replacement from pevzveuuueeceuu.
1/42
Four letters picked without replacement from {a: 15, e: 4}. Give prob of sequence eaea.
35/1292
Calculate prob of sequence my when two letters picked without replacement from {v: 4, m: 3, l: 4, y: 5, z: 3}.
5/114
Three letters picked without replacement from {l: 1, x: 3, e: 4, r: 9, y: 1}. Give prob of sequence lyx.
1/1632
Three letters picked without replacement from {c: 2, r: 9, h: 1, d: 1, o: 1, e: 6}. What is prob of sequence eeo?
1/228
What is prob of sequence uqe when three letters picked without replacement from qkueeoouuekeuk?
2/273
What is prob of sequence rfr when three letters picked without replacement from rrrfffrrrr?
7/40
Two letters picked without replacement from okocrermrmm. Give prob of sequence co.
1/55
Three letters picked without replacement from {i: 2, c: 2, a: 2, m: 6}. What is prob of sequence cmm?
1/22
Three letters picked without replacement from {x: 1, e: 2, o: 5, i: 8}. Give prob of sequence oeo.
1/84
What is prob of sequence ao when two letters picked without replacement from wmwowjmwa?
1/72
Calculate prob of sequence or when two letters picked without replacement from oooorr.
4/15
What is prob of sequence tpt when three letters picked without replacement from egvgtptzvgt?
1/165
Two letters picked without replacement from {g: 7, i: 5}. What is prob of sequence gi?
35/132
Three letters picked without replacement from {l: 4, c: 2, z: 1}. Give prob of sequence lll.
4/35
Four letters picked without replacement from vzzvvzvzzzzzzzzzzzz. What is prob of sequence zzvz?
455/3876
Three letters picked without replacement from immmmnn. What is prob of sequence nmn?
4/105
Two letters picked without replacement from lrrlbzbrrlrz. What is prob of sequence rb?
5/66
Two letters picked without replacement from fyhflll. What is prob of sequence hy?
1/42
Three letters picked without replacement from {f: 1, i: 1, s: 6, a: 6, m: 4}. Give prob of sequence fis.
1/816
Four letters picked without replacement from llljjljjljjjl. Give prob of sequence jjll.
21/286
Three letters picked without replacement from {f: 1, d: 2, q: 2, x: 1, z: 1}. Give prob of sequence xzf.
1/210
Three letters picked without replacement from {s: 8, x: 3}. Give prob of sequence ssx.
28/165
Four letters picked without replacement from {u: 9, n: 2}. Give prob of sequence nuun.
1/55
Two letters picked without replacement from yjxyyxxytjgyyxxl. Give prob of sequence tx.
1/48
Calculate prob of sequence jb when two letters picked without replacement from {j: 1, y: 5, b: 2, f: 8}.
1/120
Calculate prob of sequence bnpp when four letters picked without replacement from {b: 1, j: 1, q: 1, z: 1, p: 2, n: 1}.
1/420
Two letters picked without replacement from {x: 5, d: 5}. What is prob of sequence dd?
2/9
Calculate prob of sequence vxf when three letters picked without replacement from {f: 1, x: 1, v: 1, a: 1, k: 1}.
1/60
What is prob of sequence uiu when three letters picked without replacement from uuiuuiu?
4/21
What is prob of sequence uqqq when four letters picked without replacement from {q: 3, u: 3}?
1/20
What is prob of sequence lc when two letters picked without replacement from {l: 1, p: 4, c: 2, k: 2}?
1/36
Two letters picked without replacement from mimmidtsstsmfmm. What is prob of sequence fs?
1/70
Three letters picked without replacement from {m: 1, q: 5, d: 1, f: 2}. What is prob of sequence mdf?
1/252
Calculate prob of sequence wdd when three letters picked without replacement from yyyywydddwdyyyyd.
1/84
Three letters picked without replacement from {z: 12, p: 6, i: 1}. Give prob of sequence zzp.
44/323
Three letters picked without replacement from ukmucyuycymmokm. What is prob of sequence yym?
4/455
Two letters picked without replacement from {s: 3, e: 5}. What is prob of sequence se?
15/56
What is prob of sequence dhh when three letters picked without replacement from {d: 13, h: 6}?
65/969
Calculate prob of sequence lgj when three letters picked without replacement from {g: 1, l: 1, j: 1}.
1/6
Three letters picked without replacement from vfvvvvvvvvvvvvvffv. Give prob of sequence vfv.
35/272
Two letters picked without replacement from spmmlnslltsnlpp. What is prob of sequence lm?
4/105
Three letters picked without replacement from vvvywwksswwwkvvvs. Give prob of sequence kvs.
3/340
What is prob of sequence yssy when four letters picked without replacement from sasassysssyyy?
21/715
Three letters picked without replacement from {i: 3, z: 4, b: 1, w: 5, n: 1, v: 1}. What is prob of sequence nbw?
1/546
Two letters picked without replacement from {x: 4, a: 4, m: 3}. What is prob of sequence ma?
6/55
Two letters picked without replacement from bbbabasabebaeeue. What is prob of sequence ab?
1/10
Calculate prob of sequence ki when two letters picked without replacement from iikiikiiki.
7/30
Three letters picked without replacement from qyqqqyqmrqqrmqqqrqrq. Give prob of sequence qqr.
22/285
Three letters picked without replacement from xlwxtlltlwttwlxqwwxw. What is prob of sequence wlx?
1/57
Two letters picked without replacement from {e: 3, m: 2, l: 4, w: 1, s: 3, d: 2}. Give prob of sequence ml.
4/105
Two letters picked without replacement from {u: 2, e: 3}. What is prob of sequence ee?
3/10
Four letters picked without replacement from {j: 3, r: 2, a: 1, z: 3, u: 6}. Give prob of sequence zrju.
3/910
Calculate prob of sequence kjjx when four letters picked without replacement from {j: 5, k: 7, x: 3, n: 2}.
1/136
Three letters picked without replacement from azkwaaawzk. What is prob of sequence wka?
1/45
Two letters picked without replacement from lzllrzwzwllw | {
"pile_set_name": "DM Mathematics"
} |
)*x)/x assuming x is positive.
x**(193/3)
Simplify ((x/x**(2/15))/x**(3/11))/((x**20*x)/(x/(x*x*x*x**(-1/26)*x*x*x))) assuming x is positive.
x**(-108827/4290)
Simplify (p**(-1/9)*p/p**(3/7)*p**(-4)/(p/(p*p**0*p*p)*p))**(-20) assuming p is positive.
p**(3200/63)
Simplify (k**6*(k*(k/(k*k**(-1/8))*k)/k)/k)/((k/k**(-5))/(k**6/k*k)) assuming k is positive.
k**(49/8)
Simplify ((s**5*s*(s/(s/s**(2/7)))/s*s)/(s*s/(s**(2/21)*s)*s*s**1))**(-20) assuming s is positive.
s**(-1420/21)
Simplify (x/(x/(x**32*x)))**(-2/65)*(x/x**(-33))/(x*x**(-14)) assuming x is positive.
x**(2989/65)
Simplify ((y**(-9/4)*y**(3/13)*y)**(3/38))**(4/5) assuming y is positive.
y**(-159/2470)
Simplify (g**(24/5)*g**(17/2))/(g**(9/5)*g**(3/4)) assuming g is positive.
g**(43/4)
Simplify (s**(-3/5)*s*s**(1/5))/(s**(-2/9))**(-38) assuming s is positive.
s**(-353/45)
Simplify (i*i**(-2/51)*i/i**(1/14))/((i/(i**13/i))/i**(2/5)) assuming i is positive.
i**(47443/3570)
Simplify (g/g**(4/5))/((g**(-1/9)*g)/g)*g*g**11*g*g*(g**(-12)*g)/g assuming g is positive.
g**(104/45)
Simplify ((((o*o**(6/19))/o)/o)/((o/(o/o**(-20)))/o))/(o**(5/8)*(o/(o/(o*(o*o**(1/7))/o)*o)*o)/o) assuming o is positive.
o**(20799/1064)
Simplify ((a**(-1)*a)/a)**(-3/26)/(a/a**(-3/2)*a**(4/7)) assuming a is positive.
a**(-269/91)
Simplify (x**(4/9)/x)**(2/13)/((x**(-1/2)/x)/(x*x**(-21)/x*x)) assuming x is positive.
x**(-4349/234)
Simplify y**4*y**(-4/5)*(y*y**(-3))**(3/17) assuming y is positive.
y**(242/85)
Simplify (g/g**(5/3)*g/(g*g*g*g**(2/5)*g))/(g**19/g*g/g**(-22)) assuming g is positive.
g**(-676/15)
Simplify (c*c*c*(c*c**0)/c)/(c/(c*c/c**(-14)*c))*(c**(7/4)*c)/c**(-24) assuming c is positive.
c**(183/4)
Simplify ((t**(-2/9)/t*t*((t/t**1)/t)/t)/(t*t**8*t*(t**(-2/17)*t)/t*t))**(2/13) assuming t is positive.
t**(-4010/1989)
Simplify (p**(-3))**(-2/33)*(p*p**(-9))/p**(-10) assuming p is positive.
p**(24/11)
Simplify (j/j**(-3/22)*j*(j/(j*j**18/j))/j*j)**(1/10) assuming j is positive.
j**(-327/220)
Simplify m*m**(-8)*(m*m**(-10)*m)/m*m**(-8)/m**(3/7) assuming m is positive.
m**(-171/7)
Simplify ((q/q**(2/13))/(q*q**10))/(q*q**3)**47 assuming q is positive.
q**(-2576/13)
Simplify (m**(9/7))**(-47)/(m**(-22)/(m/(m**21/m))) assuming m is positive.
m**(-402/7)
Simplify (a**5)**(-7)*(a/a**39)/a**28 assuming a is positive.
a**(-101)
Simplify (j/(j*j**(5/3)))**30/(j**(-18/7)/j*j**(2/29)) assuming j is positive.
j**(-9439/203)
Simplify d*d**(-18)*d**(3/11)*(d*d**(-2/61))/(d**(11/4)/d) assuming d is positive.
d**(-46997/2684)
Simplify (c*c**(-20)*c)/(c**26/c*c)*(c*c/(c*c**(-4/7)))/c**(-11/3) assuming c is positive.
c**(-814/21)
Simplify (j*j*j**(-2/3))**(12/11)/(j**(-2/3)*j**10) assuming j is positive.
j**(-260/33)
Simplify (((j*j**(2/7))**(-37/3))**(5/7))**(-4) assuming j is positive.
j**(2220/49)
Simplify ((s**(2/5)*s**(-3/4))/(s**0*s)**(3/10))**(5/11) assuming s is positive.
s**(-13/44)
Simplify (f**(1/36)/f*(f*f/(f*f**(-2/41)))/f)/(f*f/(f/f**(-2/27)))**18 assuming f is positive.
f**(-25963/1476)
Simplify (w**(-2/23)*(w*w/w**(1/6))/w*w*w)/(w**11*w**(-11)) assuming w is positive.
w**(379/138)
Simplify (i/(((i/(((i**(-2/31)/i*i)/i*i)/i))/i)/i*i))**(-8/3)/(i*i*i**(-4/25)*i**(-2/9)) assuming i is positive.
i**(-10084/6975)
Simplify (k**(2/41)/(k*k**(1/16)*k))/(k**(1/4))**(-47) assuming k is positive.
k**(6387/656)
Simplify (((a*a**(11/4)*a)/a*a)/a)**(-50)*(a**(-6/5))**(5/11) assuming a is positive.
a**(-4137/22)
Simplify ((f**5/(f/(f*f**(-2))))**(-1/10))**(-1/24) assuming f is positive.
f**(1/80)
Simplify ((o*o**(-5/17)*o)/o*o**(-2/3))**(-10) assuming o is positive.
o**(-20/51)
Simplify (((a/(a/(a*a/a**15)*a))/a)/(a**28*a))/((a/a**(-1))/a)**(-6) assuming a is positive.
a**(-38)
Simplify (p**23/p**(11/5))**(-39) assuming p is positive.
p**(-4056/5)
Simplify o**(-2/13)*o**(-30)/o*o*o**(-1/5)*o*(o/(o*o/(o**(1/11)*o)*o)*o)/o assuming o is positive.
o**(-21638/715)
Simplify (i/i**(4/5))**(2/83)*i**(2/17)/((i/(i**(-2/47)*i))/i) assuming i is positive.
i**(358083/331585)
Simplify (s/s**(1/11))/(s/s**2)*s*s/(s**(-12)/s)*s*s**(1/5)*s assuming s is positive.
s**(1051/55)
Simplify (g/(g/((g/(g*g**2/g))/g*g))*g*g)**(-23/5)*((g*g*g*(g*g*g**10*g)/g*g*g*g)/g)/g**8 assuming g is positive.
g**(22/5)
Simplify (p/p**2*p)**(-1/14)/((p/p**20)/(p*p/((p/p**(-7/4))/p))) assuming p is positive.
p**(77/4)
Simplify (((f*(f**(6/7)*f)/f*f)/f)/f)/(f**15*f)*(f*f**(-13))/f**(9/2) assuming f is positive.
f**(-443/14)
Simplify (m**(-2/7))**(-1/5)*(m/m**1*m)**(3/19) assuming m is positive.
m**(143/665)
Simplify (z**(-1)/z*z/(z*z**(-18/11)))**(3/29) assuming z is positive.
z**(-12/319)
Simplify (r**(-3)*r)**(7/10)*(r**(-6)*r)**(-3) assuming r is positive.
r**(68/5)
Simplify (o*(o*o**(-1/3))/o)**(-42)*o**11*o*o*o*o*o**7/o assuming o is positive.
o**(-7)
Simplify ((b/(b/(b/(b/(((b/(b/((b*b**(-2/5)/b)/b)*b*b))/b*b)/b)*b*b)*b))*b)**(-2/43)*b**(-5/2)/b**(4/5))**(5/6) assuming b is positive.
b**(-1331/516)
Simplify (a/(a**0*a*a)*a**(1/7))/(a**6/a*a**(-3)) assuming a is positive.
a**(-20/7)
Simplify (z**(-2/11)/z)/z**(-20/3)*(z**(3/4))**(3/5) assuming z is positive.
z**(3917/660)
Simplify ((q*q/(q/(q*(q*q/(q/(q**(-5/3)/q)))/q*q))*q/(q/q**(4/7)))/(q/q**(4/9)*q*q/q**(3/10)))**(-20) assuming q is positive.
q**(1702/63)
Simplify (h/(h/(h/(h*h/h**12)))*h*h**(-11))/(h**(2/33))**(-1) assuming h is positive.
h**(35/33)
Simplify (k**7/k)**(-2/17)/(k/(k**(8/5)*k)*k/((k**(-20)*k)/k)) assuming k is positive.
k**(-1709/85)
Simplify (k**(-4/7)/(k**9*k))/(k**(-3/8))**26 assuming k is positive.
k**(-23/28)
Simplify (u**(-2))**39*(u/u**12)**(-21) assuming u is positive.
u**153
Simplify m**3/(m/m**9)*(m**(-1/9)/m*m)/m**(-2/7) assuming m is positive.
m**(704/63)
Simplify (y/y**(-2/3))**5*(y**(-2/9))**(-48) assuming y is positive.
y**19
Simplify ((j**(-3)/(j*j/((j*j**(1/2))/j)))**(-8))**(-41) assuming j is positive.
j**(-1476)
Simplify (q/q**(1/18)*q*q/(q/q**(3/23)))/(q**39*q**(-6)/q) assuming q is positive.
q**(-12389/414)
Simplify (u**(-2))**(-1/37)*(u/(u**5*u))/(u/u**(5/7)*u) assuming u is positive.
u**(-1614/259)
Simplify (x/(x**(3/5)/x)*x)/(x*x**16*x)*(x/(x*x*x*x*x**(-11)*x))/x**(-1) assuming x is positive.
x**(-38/5)
Simplify ((k**(-40)/k*k)/k)/k*(k**(1/29)/k)/k*(k*k*k**(-8)/k)/k**(-5/2) assuming k is positive.
k**(-2811/58)
Simplify (g/g**6)**(3/14)/((g*g**15)/(g*g/g**18)) assuming g is positive.
g**(-463/14)
Simplify (((i*i**0)**(20/9))**4)**31 assuming i is positive.
i**(2480/9)
Simplify (j**1)**(15/11)*(j**(1/4))**35 assuming j is positive.
j**(445/44)
Simplify (((z/z**18)/(z**(-4/3)*z*z))**40)**(-46) assuming z is positive.
z**(97520/3)
Simplify g**(-3/11)/(g/(g/((g*g*g*g/(g**(2/11)/g)*g*g)/g)*g)*g*g*g)*(g*g**(1/11))/(g/g**(-8/7)*g) assuming g is positive.
g**(-71/7)
Simplify ((t/t**22*t)/t*t*t**6)/(t**13*t*(t*t**0)/t) assuming t is positive.
t**(-28)
Simplify a/((a/a**22)/a*a*a)*a/(a/a**(-3/4))*a*(a**6)**(2/127) assuming a is positive.
a**(10843/508)
Simplify q*q*q*q/q**(-1/29)*q**(-20)/q*q**(-3/2)*q*q**(-18)*q assuming q is positive.
q**(-1999/58)
Simplify (o*o**(-4/15)/o)**(-1/7)/(o**(-23)/o**(-1/34)) assuming o is positive.
o**(82141/3570)
Simplify (((q**(-1))**(-2/37))**(-24))**(-13) assuming q is positive.
q**(624/37)
Simplify (t*(t/(t**(-2)/t*t))/t*t*t*t)**(-2/7)/(t**4/t)**(-21/5) assuming t is positive.
t**(381/35)
Simplify ((v*v**(-3/11)/v)**(-12/13))**39 assuming v is positive.
v**(108/11)
Simplify (((k/(k**(-5)/k))/k)/(k*k**(-3/20)))**(-10/7) assuming k is positive.
k**(-103/14)
Simplify (g/g**1)**26*(g/(g/g**(3/7)))**(-35) assuming g is positive.
g**(-15)
Simplify (k**(4/21)*k**14)/((k/(k**(-2/19)/k*k))/(k/k**(-1)*k)) assuming k is positive.
k**(6418/399)
Simplify (d**1)**(2/81)/(d*d*d**7*d**37) assuming d is positive.
d**(-3724/81)
Simplify a/(a*a/(a/a**(-4/9)))*a*a*a**(5/8)*a**(-18)*(a*a/a**11*a)/a assuming a is positive.
a**(-1723/72)
Simplify (((d/(d**1*d*d))/(d*d/d**(-5)))/(d*d**5*d/d**(-1/2)))**(-3/2) assuming d is positive.
d**(99/4)
Simplify (w**(-7)*(w**(3/14)*w)/w)/(w**(1/15)*w/(w**(-5)/w)) assuming w is positive.
w**(-2909/210)
Simplify (((d/(d**(-2/5)/d))/(d**3/d))/(d*d**(-1/6)*d)**36)**(-46) assuming d is positive.
d**(15088/5)
Simplify (((q/(q*q/(q/q**(-1))))**(1/42))**17)**9 assuming q is positive.
q**(51/14)
Simplify ((l/(l/((((l/((l**(-13)/l) | {
"pile_set_name": "DM Mathematics"
} |
02945*u**3 - 14062665*u**2 - 508511795*u - 382888650 = 0. Calculate u.
-1437, -73, -10/13
Factor 3*g**2 + 246876*g - 22985415.
3*(g - 93)*(g + 82385)
Find z, given that -25*z**4 - 21370*z**3 - 13975*z**2 + 2660490*z + 7532280 = 0.
-854, -49/5, -3, 12
Solve m**3/4 - 1459*m**2/4 + 18379*m - 123816 = 0.
8, 44, 1407
Determine r, given that -r**4/4 - 375515*r**3/2 - 35253066563*r**2 - 70505382098*r = 0.
-375514, -2, 0
Let 4*p**5/3 + 20854*p**4/9 - 361066*p**3/9 + 818840*p**2/9 + 7927000*p/9 - 1092000 = 0. What is p?
-1755, -4, 7/6, 10
Solve 6*z**2 + 14283*z - 2269410 = 0.
-2530, 299/2
Suppose -w**5/2 - 347*w**4 + 666717*w**3 - 7965902*w**2 + 59660615*w/2 - 33125175 = 0. Calculate w.
-1557, 2, 5, 851
Solve -2*g**2/19 + 8368508*g/19 - 8753990768258/19 = 0 for g.
2092127
Factor -h**2 + 1625224*h + 1625225.
-(h - 1625225)*(h + 1)
Let 3*n**2 - 80359692*n + 538140008194572 = 0. What is n?
13393282
Find z, given that -63*z**5 - 546222*z**4 - 1184014215*z**3 - 225506700*z**2 = 0.
-4335, -4/21, 0
Let 3*z**2 - 55582899*z + 55582896 = 0. Calculate z.
1, 18527632
Solve -2*d**4/9 - 374690*d**3/9 + 2623058*d**2/3 - 37098710*d/9 - 45342572/9 = 0 for d.
-187366, -1, 11
Factor c**3 + 165762*c**2 + 3646257*c - 3812020.
(c - 1)*(c + 23)*(c + 165740)
Suppose 3*s**4/5 - 43104*s**3/5 + 1376343*s**2/5 - 1247046*s/5 - 2666496/5 = 0. What is s?
-1, 2, 31, 14336
Factor 2*z**2/3 - 2260724*z/3.
2*z*(z - 1130362)/3
Factor -3*l**2 - 4252737*l + 93561666.
-3*(l - 22)*(l + 1417601)
Factor -4*r**2 - 2448*r - 108288.
-4*(r + 48)*(r + 564)
Factor 3*y**3 - 76437633*y**2 + 305750496*y - 305750484.
3*(y - 25479207)*(y - 2)**2
Suppose -42*g**2/13 + 189880*g/13 - 379592/13 = 0. Calculate g.
2, 94898/21
Factor 3*m**5 + 3633*m**4 + 735534*m**3.
3*m**3*(m + 257)*(m + 954)
Solve 2*g**5/15 + 1096*g**4/5 + 1281868*g**3/15 + 5071712*g**2/15 - 85458*g - 1015000/3 = 0 for g.
-1015, -625, -4, -1, 1
Factor 3*n**2 + 1605324*n + 27289641.
3*(n + 17)*(n + 535091)
Find c, given that -2*c**4/3 - 39264*c**3 - 14125232*c**2 + 170916352*c/3 - 57129184 = 0.
-58534, -366, 2
Factor g**3/11 + 439*g**2/11 + 21350*g/11 + 19600.
(g + 14)*(g + 40)*(g + 385)/11
Factor 2*j**3/17 - 96*j**2 - 21482*j/17 - 59688/17.
2*(j - 829)*(j + 4)*(j + 9)/17
Factor 5*f**2/2 - 2510745*f/2 + 3766095.
5*(f - 502146)*(f - 3)/2
Find k such that -4*k**4 + 43672*k**3 - 15876960*k**2 + 1953490048*k - 80429026816 = 0.
124, 10546
Determine a so that -60*a**3 + 944944*a**2 - 3720055500*a - 3472875000 = 0.
-14/15, 7875
Solve -3*z**2/4 - 33543*z/4 + 837540 = 0.
-11280, 99
Suppose 2*m**4 + 24386*m**3 - 244106*m**2 - 561362*m - 292872 = 0. Calculate m.
-12203, -1, 12
Solve -4*g**2/9 + 8409776*g/3 + 25229332/9 = 0 for g.
-1, 6307333
Factor -h**2/2 + 377*h/2 - 2888.
-(h - 361)*(h - 16)/2
Suppose b**2/9 + 1616377*b/9 - 14008826/3 = 0. Calculate b.
-1616403, 26
Factor r**2/3 + 53584*r/3 - 679212.
(r - 38)*(r + 53622)/3
Suppose 2*x**3 - 21340*x**2 + 24096450*x + 195738516000 = 0. Calculate x.
-2320, 6495
Find z such that z**4/3 + 309362*z**3/3 + 4021523*z**2/3 - 4330886*z/3 = 0.
-309349, -14, 0, 1
Suppose -k**4/2 - 711*k**3 - 643617*k**2/2 - 45251136*k - 132876288 = 0. Calculate k.
-576, -267, -3
Solve 3*b**4/2 + 13359*b**3/4 + 1806522*b**2 - 61324848*b - 2832326784 = 0 for b.
-1128, -53/2, 56
Let -2*s**2 - 1565486*s - 32874324 = 0. What is s?
-782722, -21
Factor -2*a**2/3 - 385064*a/3 + 3851240.
-2*(a - 30)*(a + 192562)/3
Factor 3*p**3 + 22494*p**2 + 3672327*p - 3694824.
3*(p - 1)*(p + 168)*(p + 7331)
Suppose 4*i**3 + 6426352*i**2 + 494805692*i + 488379344 = 0. What is i?
-1606511, -76, -1
What is v in -v**3/2 - 17680*v**2 + 353822*v + 778360 = 0?
-35380, -2, 22
Factor 2*j**3/9 + 9230*j**2/9 - 4190500*j.
2*j*(j - 2610)*(j + 7225)/9
Determine n, given that -4*n**3/7 - 9096268*n**2/7 - 5171367076060*n/7 + 15514183094700/7 = 0.
-1137035, 3
Suppose -7*h**2/3 + 7084610*h/3 + 2024176 = 0. What is h?
-6/7, 1012088
Factor w**2/9 - 563673988*w/9 + 79432091186956036/9.
(w - 281836994)**2/9
Determine x, given that -2*x**4/21 + 9350*x**3/21 - 203372*x**2/7 + 7970752*x/21 - 29497600/21 = 0.
8, 50, 4609
Suppose k**2/2 - 219433*k/2 - 7023904 = 0. What is k?
-64, 219497
Suppose 5*n**3/4 - 57565*n**2/4 + 574555*n/4 + 6844285/4 = 0. Calculate n.
-7, 17, 11503
Factor z**2 + 36726*z + 3626073.
(z + 99)*(z + 36627)
Let 8*q**5 + 14610*q**4 - 667108*q**3 - 23567226*q**2 + 18205796*q + 6013920 = 0. What is q?
-1870, -24, -1/4, 1, 67
Determine o, given that o**3/2 - 4556294*o**2 + 18225170*o - 18225168 = 0.
2, 9112584
Find m, given that m**3/2 - 6659*m**2/2 + 6665975*m/2 - 1821413125/2 = 0.
575, 5509
Factor 2*d**3 - 147668*d**2 - 147670*d.
2*d*(d - 73835)*(d + 1)
Let -2*i**5/13 + 9494*i**4/13 - 12039164*i**3/13 + 1829351124*i**2/13 - 66785846274*i/13 - 68627246058/13 = 0. What is i?
-1, 59, 111, 2289
Let 25*j**4 + 336655*j**3 + 1135752430*j**2 + 16060813620*j + 3166735320 = 0. Calculate j.
-6726, -14, -1/5
Solve -5*u**3/2 + 12845005*u**2/2 - 4124882737360*u + 37123424415360 = 0 for u.
9, 1284496
Solve s**3/5 + 161248*s**2/5 + 2579776*s/5 + 10318848/5 = 0 for s.
-161232, -8
Find v, given that -v**2/7 + 13128*v/7 - 4621292/7 = 0.
362, 12766
Solve -3*f**2/4 + 475869*f/2 + 13326684 = 0.
-56, 317302
Factor 3*s**2 + 288453*s - 298521600.
3*(s - 1024)*(s + 97175)
Solve -3*n**3/4 - 12071919*n**2/4 - 12144238848693*n/4 + 60721496041815/4 = 0 for n.
-2011989, 5
Let -3*t**4/4 + 1782*t**3 + 366963*t**2/2 + 710730*t + 2116125/4 = 0. What is t?
-95, -3, -1, 2475
Factor 2060524449*o**3 + 30908048307*o**2 + 2723584*o + 60.
(o + 15)*(45393*o + 2)**2
Determine f, given that 2*f**3/13 - 724640*f**2/13 + 25360082*f/13 - 47821620/13 = 0.
2, 33, 362285
Determine r so that -3*r**5 + 27628902*r**4 - 63612991181556*r**3 - 127226092878744*r**2 = 0.
-2, 0, 4604818
Determine i so that -3*i**2/7 + 4061595*i/7 + 6962796 = 0.
-12, 1353877
Determine j so that -j**5/2 + 7347*j**4 + 191339*j**3/2 - 1088238*j**2 - 1176560*j = 0.
-20, -1, 0, 8, 14707
Determine y so that -y**2 - 5224883*y + 10449770 = 0.
-5224885, 2
Determine c, given that -c**4/2 - 1066*c**3 + 191262*c**2 + 997935840*c = 0.
-1506, 0, 880
Let 4*y**2/3 - 145133408*y/3 = 0. What is y?
0, 36283352
Let -2*v**3/9 - 1655534*v**2/9 - 342596619830*v/9 + 342601586450/3 = 0. Calculate v.
-413885, 3
Find c such that 5*c**5 + 3575*c**4 + 508235*c**3 - 1034395*c**2 - 508240*c + 1030820 = 0.
-518, -199, -1, 1, 2
Factor s**3/3 + 435455*s**2 + 142215575041*s - 426648031489/3.
(s - 1)*(s + 653183)**2/3
Find u, given that -5*u**3 + 15727600*u**2 + 47182845*u = 0.
-3, 0, 3145523
Factor z**2/3 + 9373*z/3 + 4777292.
(z + 1924)*(z + 7449)/3
Factor 3*v**3/7 - 267*v**2/7 - 9435*v/7 + 53475/7.
3*(v - 115)*(v - 5)*(v + 31)/7
Let -4*a**2/5 + 41073004*a/5 - 8214600 = 0. What is a?
1, 10268250
Factor 2*g**2 - 12101856*g + 18306864830592.
2*(g - 3025464)**2
Suppose 162*t**3 + 190*t**2 - 6776*t - 1176 = 0. What is t?
-7, -14/81, 6
Suppose 2*k**4/5 + 85122*k**3/5 + 1682802*k**2 + 277518582*k/5 + 3051913788/5 = 0. Calculate k.
-42462, -33
Factor 2*q**2/3 - 109651892*q/3 + 1502942177397458/3.
2*(q - 27412973)**2/3
Find m such that 2*m**2 - 4373218*m = 0.
0, 2186609
Determine s so that s**2/6 - 7433*s/2 - 33462 = 0.
-9, 22308
Determine u, given that -2*u**2/3 - 48520*u/3 + 533962/3 = 0.
-24271, 11
Find k, given that 4*k**2 - 19520*k + 10360176 = 0.
606, 4274
Determine g, given that 200*g**5/17 + 404480*g**4/17 - 3489142*g**3/17 + 8483454*g**2/17 - 4191696*g/17 + 584928/17 = 0.
-2031, 3/10, 4
Find o such that 22*o**4/3 - 74452*o**3/3 + 19756992*o**2 + 2127839040*o - 387532800 = 0.
-96, 2/11, 1740
Factor -l**3 + 742*l**2 - 9760*l - 55725696.
-(l - 488)**2*(l + 234)
Factor -b**2/2 - 1757901*b/10 - 35158.
-(b + 351580)*(5*b + 1)/10
Factor 98*j**3 + 1713978*j**2 - 12736464*j + 23655944.
2*(j + 17497)*(7*j - 26)**2
Let -26*c**5/7 - 50884*c**4/7 + 87042*c**3 - 2156528*c**2/7 + 2944952*c/7 - 189024 = 0. What is c?
-1969, 12/13, 2, 7
Determine z so that 4*z**5 + 3242*z**4 - 258204*z**3 + 1649000*z**2 + 135568624*z + 67339584 = 0.
-884, -18, -1/2, 46
What is b in 174824*b**4/3 - 16673388*b**3 + 11724149*b**2/6 + 88228*b + 858 = 0?
-3/164, 2/13, 286
Factor 3*r**2/5 + 747141*r/5 - 4482954/5.
3*(r - 6)*(r + 249053)/5
Solve -3*v**5/4 + 3189513*v**4/4 + 75*v**3/2 - 79737825*v**2/2 - 1875 | {
"pile_set_name": "DM Mathematics"
} |
648493935. Round m to the nearest one million.
-36000000
Let u = 0.08455 - 27.08205. Let l = 14 + -41. Let n = u - l. Round n to three decimal places.
0.003
Let i = 176 + -261. Let k = 84.99837 + i. What is k rounded to 4 dps?
-0.0016
Let u = 159 - 158.9999961. What is u rounded to six decimal places?
0.000004
Let t(i) = i**2 + i - 6. Let g be t(-3). Suppose -10*a + 3*a + 12257 = g. Suppose -21751 + a = -5*d. What is d rounded to the nearest ten thousand?
0
Let g(r) = 360001*r - 5. Let q(o) = 3*o**2 - 19*o - 6. Let p be q(8). Let x = p + -29. Let c be g(x). Round c to the nearest 1000000.
2000000
Let b = 7.61 - -1.69. Let v = 5.4 - b. Round v to the nearest integer.
-4
Suppose 2*i + 382 = -4*a, i + 2*i = -4*a - 381. Let b = a + 16. What is b rounded to the nearest 100?
-100
Let v(j) = -662*j**2 + 6*j - 20. Let s be v(-7). What is s rounded to the nearest 10000?
-30000
Let f = 19777 - -48223. What is f rounded to the nearest ten thousand?
70000
Let i = 806.01025 - 806. What is i rounded to three decimal places?
0.01
Let k = -433 - -441.06. Let i = -8 - 0. Let v = i + k. Round v to one dp.
0.1
Let u(t) = 26915*t - 395. Let m be u(5). Round m to the nearest one thousand.
134000
Let u = 25.5168 + -25.99. What is u rounded to one dp?
-0.5
Let h = -2.9 + -0.7. Let d = -10.9521065 + 14.55211. Let x = d + h. Round x to 6 dps.
0.000004
Let p = -11.52 - -4.29. Round p to one dp.
-7.2
Suppose 5*t + 49 - 244 = 0. Let a be (-27)/(-4)*(-104)/t. Let x be (a/15)/(6/140). Round x to the nearest 10.
-30
Let s = -14 + 14.297. What is s rounded to 2 decimal places?
0.3
Let x be (-6 - 2 - -3)*(0 - -4300). What is x rounded to the nearest 10000?
-20000
Let s = -30 + 10. Let r = s - -21.48. Round r to one dp.
1.5
Suppose -l - 2541292 = 12*l. Suppose 3*m + 18775 + 24677 = 0. Let j = l - m. Round j to the nearest ten thousand.
-180000
Suppose 276 = -4*p - 48. Round p to the nearest ten.
-80
Let r = 73.9985 - 74. What is r rounded to 4 dps?
-0.0015
Let o(v) = 646112*v**2 + 5*v - 2. Let c be o(-6). What is c rounded to the nearest one million?
23000000
Let h = 3.61 - 62239.61. Let k = 62234.94228 + h. Let n = k + 1.06. What is n rounded to 4 decimal places?
0.0023
Let s(i) = -3*i**3 + i**2 - i - 2. Let u be s(2). Let k = u + 26. Suppose -16608 = -r - k*l, -5*l + 49820 = -r + 4*r. Round r to the nearest 1000.
17000
Let l = -0.0766982527587 - 7475663.9222417472413. Let p = 7475560 + l. Let x = p - -104. What is x rounded to 4 decimal places?
0.0011
Let t(h) = -h**3 - h - 5. Let k be t(0). Let u(p) = 170001*p. Let f be u(k). Let z be f/(-10) + 2/(-4). Round z to the nearest 10000.
90000
Let w = -23.9108 - -24. Round w to three decimal places.
0.089
Let l be (66981/2)/((-14)/(-28)). Let w = 83019 + l. What is w rounded to the nearest 100000?
200000
Let r = 205 - 275. What is r rounded to the nearest 100?
-100
Let h(i) = 13*i**3 + i**2 - i - 8. Let m be h(-4). Let x = 180 + m. Round x to the nearest 100.
-600
Let l = -533 + 377. Let b be 2/7 + l/(-91). Suppose -3*q - b*s = -6*s + 23699992, 0 = -5*s - 10. Round q to the nearest 1000000.
-8000000
Let k = -388026 - -388033.000036. Let a = -24 - -17. Let f = a + k. Round f to five decimal places.
0.00004
Let m(c) = -72*c**2 - 14*c + 16. Let y be m(6). Let l be (y/21)/((-3)/((-126)/(-4))). What is l rounded to the nearest 100?
1300
Let f = 20 - 54.3. Let r = f - -4.3. Let j = r - -16.4. What is j rounded to 0 dps?
-14
Let p = 104.18 - 2.48. What is p rounded to the nearest integer?
102
Suppose -4*j = -t + 5*t + 23192, 28950 = -5*j + 5*t. Let x = j - -3427. Let f = 487 + x. Round f to the nearest 100.
-1900
Let j = -28.3 - -2.3. Let f = j - -22.4. Let m = f - -3.600121. What is m rounded to 5 decimal places?
0.00012
Let o = -2016 + 2015.9997481. Round o to five dps.
-0.00025
Let o = 112 + -86. Let d = -1643284.99981 + 1643311. Let y = o - d. What is y rounded to four decimal places?
-0.0002
Suppose 4*x = 2 - 18. Let s = x - -2. Let g be 160*4*(s - 3). Round g to the nearest one thousand.
-3000
Let r = -0.01009252951 + -80.98990821049. Let d = r + 81. What is d rounded to seven dps?
-0.0000007
Let m(f) = -6*f**3 - 9*f**2 + f - 10. Let t(y) = 8*y**2 - y - 2. Let s be t(-1). Let x be m(s). Let n = x - -892. Round n to the nearest one hundred.
-1600
Let h = 61330.5 + 5398.5. Let i = 66846.134 - h. Let a = -117 + i. What is a rounded to two decimal places?
0.13
Suppose -5*p - 4*d - 35620 = 0, -4*p + 7*p = -2*d - 21370. What is p rounded to the nearest one thousand?
-7000
Let j = 64 - 64.2390099. Let f = j + 0.239. What is f rounded to 6 decimal places?
-0.00001
Suppose -16*o - 10876935 = 44483065. What is o rounded to the nearest one hundred thousand?
-3500000
Let a = -12750 + 12739.018. What is a rounded to 1 decimal place?
-11
Let p = 11 + -12.1. Let c = 1.08 - 0.69. Let i = p + c. Round i to 1 dp.
-0.7
Let t = 10 - 9.1. Let h = t - 5.5. Let x = h + 7. Round x to zero decimal places.
2
Let w = -5345.991348 + 5346. What is w rounded to 3 decimal places?
0.009
Let d = -2589 - -2592.094. Round d to 1 dp.
3.1
Let q(m) = -1954*m**3 + 20*m**2 + 19*m - 35. Let c be q(15). Round c to the nearest one million.
-7000000
Let h = 106793582964186 + -106793648281259.9999915. Let t = -65317038 - h. Let u = -36 + t. What is u rounded to six dps?
-0.000009
Let k = -14772588028.08403298381 - -14772588028. Let o = -45.91596734619 + k. Let v = o + 46. Round v to 7 dps.
-0.0000003
Let s = 2.9 - 0.7. Let n = 46.2 - s. Let d = n + -43.921. What is d rounded to two decimal places?
0.08
Let g = 0.56 - -32.44. Let n = 405 + -367.4. Let o = g - n. What is o rounded to 0 dps?
-5
Let q be (-1100004)/(-20) + -2*(-4)/(-40). Let k be (q/(-6))/((-19)/(-4560)). What is k rounded to the nearest one million?
-2000000
Let d = 2064.413 - 2063. What is d rounded to 1 decimal place?
1.4
Suppose 2*s = -2*i + 8, -3*i + i = 5*s - 14. Let u be 36/21 + (-6)/(-21). Let r be 7400 - (0 + (i - u)). What is r rounded to the nearest 1000?
7000
Let l = 60.52 + -52.1. Round l to the nearest integer.
8
Let d = 94.1031 + -80085.5031. Let j = d - -79987.299865. Let a = -4.1 - j. What is a rounded to five dps?
0.00014
Suppose 4*r = 4*u + 644400, -4*r - 2*u + 387623 = -256777. Round r to the nearest ten thousand.
160000
Let n = -0.2 + 0.4. Let y = n - 0.1999974. Round y to 6 dps.
0.000003
Let h be (1017/21)/(20/140). Round h to the nearest ten.
340
Let x = 231.403 - 212.69. Round x to 1 decimal place.
18.7
Suppose 8*u + 372 = -124. Let j be (-2920000 - 0)/(u/(-155)). Round j to the nearest 1000000.
-7000000
Suppose -4*r - 2 = -5*m - 17, 5*m = r - 15. Let a be (-28498)/5 - (34/10 + m). Round a to the nearest one thousand.
-6000
Let n = 1.0925835 + -2.8925831. Let c = 1.67 + 0.13. Let g = n + c. Round g to six decimal places.
0
Let q = -5220 - -5634.76. Let u = q - 423. Let z = 9.7 + u. Round z to one decimal place.
1.5
Let d = 7.92 - 8.1. Let m = d + 5. What is m rounded to the nearest integer?
5
Suppose 3209250 = 12*k - 27*k. What is k rounded to the nearest one thousand?
-214000
Let q = 109225 - 109173.9955. Let u = q - 51. What is u rounded to three decimal places?
0.005
Suppose -5*v - 256 = q - 32, -4*q = 2*v + 860. Let h = q - -52. What is h rounded to the nearest ten?
-160
Let d = -356 + 358.39. Round d to 1 decimal place.
2.4
Suppose c = 6*c - 8970. Suppose -8*y + 6*y = -c. Let i = -207 + y. What is i rounded to the nearest 100?
700
Let n = -270255.0015 + 270168. Let u = n + 87. What is u rounded to three decimal places?
-0.002
Let c be 6*-5*(-1)/15. Suppose 2*t = p - c*t - 38, -p = 2*t - 8. Suppose 7*j + 3*o + p = 4*j, -2*o = -j + 6. Round j to the nearest integer.
-2
Let j = 3908.7 - 3669. What is j rounded to the nearest 10?
240
Suppose -3*t + 10919991 = 4*d, d - 2*t = 149487 + 2580519. What is d rounded to the nearest 100000?
2700000
Let p = 14216 + -1616. Round p to the nearest 1000.
13000
Let l = -536.8995 + -0.1005. Let c = l + 536.96994. Let m = c - -0.03. Round m to 5 decimal places.
-0.00006
Let t(z) = -1. Let o(c) = 265*c + 4. Let j(i) = o(i) + 4*t(i). Let u be j(-1). Round u to the nearest one hundred.
-300
Let n(d) = 2*d**3 + 9*d**2 - 7*d - 8. Let v(q) = -8 - q**3 + 7*q**2 + 0*q**3 - 12*q**2 - 3*q. Let w be v(-5). Let p be n(w). Round p to the nearest 100.
1100
Let a | {
"pile_set_name": "DM Mathematics"
} |
4797218861912
Subtract 441 from -0.258963551.
-441.258963551
What is -0.1 - 11669943381154?
-11669943381154.1
Add together -0.19 and 539.7797766234.
539.5897766234
Add together -976454 and -602616.
-1579070
Sum 79085014006.5 and 0.
79085014006.5
Add -141993987 and 2750.
-141991237
Add 6 and 0.223064871036.
6.223064871036
What is 60.406 plus 40553.9995?
40614.4055
What is 4233550 + 10.166783?
4233560.166783
Subtract 2509 from -6537062.
-6539571
What is 8308.2 less than 151797130?
151788821.8
What is -1196342 - -4061.582?
-1192280.418
210 + -59244140906
-59244140696
What is 68.96 - 9271921?
-9271852.04
Work out 1621796482416.7 + -15.
1621796482401.7
What is -4001923.0101 minus 0.01?
-4001923.0201
0.06136329 - 6.0257
-5.96433671
What is the distance between 35 and 94817690079?
94817690044
Sum 217665402 and 325.
217665727
1.986 + -1.17936793011
0.80663206989
What is 124022.119 plus -1.08?
124021.039
Total of -9 and 1463011766750.
1463011766741
Add together -0.6 and -21186376192409.
-21186376192409.6
What is 0.8871 less than -383.2340876?
-384.1211876
Subtract 1519.13 from -776209.
-777728.13
What is -313955647.71 less than 25?
313955672.71
-3+107707008759
107707008756
Calculate 0.01966 - 0.21207234.
-0.19241234
What is the distance between 2642 and 3577256?
3574614
What is 206625375 less than 31188?
-206594187
What is 1342304480285239 - 0.4?
1342304480285238.6
Add -12667832.6 and -188124.
-12855956.6
What is 22562180403917 less than -0.5?
-22562180403917.5
Total of -712463792.66 and -77.
-712463869.66
What is the difference between -227.41 and 0.230073?
227.640073
What is -2 take away 20915.53215393?
-20917.53215393
Total of 1717.5820776738 and 2.
1719.5820776738
Sum -4 and 1380556931860.
1380556931856
16.945 + 12540.704095
12557.649095
Add -466224804134566 and -0.2.
-466224804134566.2
Calculate 229.31982 - -5287255.
5287484.31982
-3.47+1293347918224
1293347918220.53
Work out -4 - -290973996.45816.
290973992.45816
Work out -27460.751 - 0.44334.
-27461.19434
Calculate 20991486235 - 220.
20991486015
What is -4 + 32929954.727?
32929950.727
Total of -6551001481 and 134.
-6551001347
What is -187956424.42975 - -2.3?
-187956422.12975
What is -5786.9233835 - 1.1?
-5788.0233835
What is 8457 + 803544407?
803552864
Work out 1.3 + -3092074573493.
-3092074573491.7
What is -51072241 take away 0.2997?
-51072241.2997
Add 17850.6220062 and -1.2.
17849.4220062
Add -23.56 and -53363711.
-53363734.56
Calculate 3278 + 255055425405.
255055428683
1976105958+-171.711
1976105786.289
What is the distance between 27 and -122427197272?
122427197299
What is the distance between -0.062 and 8689444635.7?
8689444635.762
Work out 4591332725 + -0.332.
4591332724.668
Add -0.1 and -12646181752652.
-12646181752652.1
Calculate -11317314 - -18.6894.
-11317295.3106
What is 2350093 plus 0.002562609?
2350093.002562609
Put together -254018.830526 and -22.
-254040.830526
What is -3053 - 32540454?
-32543507
What is -2430 less than -45185117295?
-45185114865
Subtract 291.789991047 from 33.
-258.789991047
What is 826460 plus -0.13924873?
826459.86075127
What is the distance between 14618635 and -18.07?
14618653.07
Work out -160.228 + -325594684.5.
-325594844.728
What is the distance between 28458346805.803 and 0.3?
28458346805.503
Add -12 and -943429864617.
-943429864629
-252.44051+-109.8091
-362.24961
Subtract -2165142 from -0.30923.
2165141.69077
Add together 11173135706086 and 4.
11173135706090
Work out 97779469.292226 + -5.
97779464.292226
What is 6365711.59 minus -6.1?
6365717.69
Total of 0 and 237.2406071.
237.2406071
-1606435924 - -1.7916
-1606435922.2084
What is -12180 plus 268.6123456?
-11911.3876544
-301.3552+-1525.1
-1826.4552
Sum 149106 and -2.40146143.
149103.59853857
Calculate -4.83 - 4217145282.
-4217145286.83
What is 1 take away -818966054323?
818966054324
What is the distance between 0.163445 and 20608.08?
20607.916555
What is 7530.18 + 263933?
271463.18
-66213+2432144
2365931
Total of 105673752712 and 2.089.
105673752714.089
Add -106.869 and -0.0452515.
-106.9142515
What is -463302837121 plus 147?
-463302836974
3756637 - 234079
3522558
What is -240632205993841 plus -0.2?
-240632205993841.2
Work out -340389993827 - 0.0034.
-340389993827.0034
Calculate -5027611269 - -1.4.
-5027611267.6
What is 5.721 take away 995432730?
-995432724.279
What is 0.2591 less than 36.545143979?
36.286043979
What is 25.5742 + -289014?
-288988.4258
What is 464.707 plus -0.1183377?
464.5886623
What is the difference between -9403743989258 and 0.1?
9403743989258.1
-0.09844799152 + -3673.7
-3673.79844799152
Calculate 25555.036245 - -27.
25582.036245
What is -2.9 minus 49535300597?
-49535300599.9
What is -1294.203035127 plus -3?
-1297.203035127
Work out 9.3907576 - 26297.74.
-26288.3492424
Add together 74 and -108359668.
-108359594
Add together -10651964099 and -0.08.
-10651964099.08
Sum -110489283960 and 5.
-110489283955
Total of 121126.6 and 7086633.
7207759.6
What is -0.1 less than 92274371456776?
92274371456776.1
What is 54.8 minus 0.082765961541?
54.717234038459
Calculate 0.036085983 - -3307.
3307.036085983
What is the difference between -0.03002991 and 904.57?
904.60002991
Calculate 0.09 - 4189630072.
-4189630071.91
175043240 - 0.05527
175043239.94473
210598600661 - 3
210598600658
Subtract 1159.07189 from -54315.4.
-55474.47189
What is -198169.03827 minus -87?
-198082.03827
Calculate -13268.3591211 + 15.
-13253.3591211
Subtract 2908521 from -57.509.
-2908578.509
What is the distance between 105.044 and -6346591209?
6346591314.044
What is 84.521984506 take away 0.29?
84.231984506
337+16682385664
16682386001
What is the difference between -5349987990155 and 0.3?
5349987990155.3
Put together 2692419570854 and -0.1.
2692419570853.9
Subtract 139 from 105.58954406543.
-33.41045593457
Calculate 24973 + -2405896256.
-2405871283
-2893058026.599 - -0.9
-2893058025.699
Add -108776241566 and 2.
-108776241564
Total of 16.05486777139 and -0.01.
16.04486777139
Sum -5674313573700 and 0.5.
-5674313573699.5
-1439.15+-10778693.5
-10780132.65
Calculate -0.3361764626 + -1.157.
-1.4931764626
Put together 106419 and 509589.
616008
Total of 180064266 and 21428.6.
180085694.6
-239552380894884 - -0.1
-239552380894883.9
Calculate 15839 + -0.056354512.
15838.943645488
Work out 5592397158360 - -5.
5592397158365
What is 2.12350557715263 take away 3?
-0.87649442284737
Total of 5562800163.75 and 5.
5562800168.75
Put together -1.6373 and 152353860.48.
152353858.8427
What is 1.76 less than -60176250?
-60176251.76
What is 1276107 + 755.124?
1276862.124
Add together -9 and -6937122141.
-6937122150
Calculate 6912547 + 0.0599746.
6912547.0599746
Work out -28 - -7945774294137.
7945774294109
Work out -0.0633 + 6.70939952263.
6.64609952263
Work out 3 + 24.7272664192907.
27.7272664192907
0.038415483923 + 233
233.038415483923
Add -4690 and -865014168.
-865018858
Subtract 0.5 from -36520935773729.
-36520935773729.5
What is the difference between 180630 and -737062?
917692
Work out 14022781585904 + -7.
14022781585897
Sum -3400605104 and -26558.
-3400631662
Total of 0.07 and 3893063510817.
3893063510817.07
What is the difference between 14490757 and 45.122?
14490711.878
-650943+9996476
9345533
Subtract -286488569 from 27.84837.
286488596.84837
Work out -0.1 - 16541081241263.
-16541081241263.1
What is the difference between 1.5204007 and -94.88?
96.4004007
Work out 12763698371 + 14.19.
12763698385.19
Calculate -107 - -153881447.
153881340
Work out -177778.96 - 196.4654.
-177975.4254
What is -105365 take away 29690.51?
-135055.51
Work out -0.011 - -3195567540538.
3195567540537.989
Calculate -0.9974 - 49.461802.
-50.459202
Add together -0.40065 and -5076925.
-5076925.40065
0.3081526 - -0.02981
0.3379626
33323 - -0.1020683922
33323.1020683922
What is -3506 plus 0.127041717?
-3505.872958283
What is -1787.5581879012 take away -1.3?
-1786.2581879012
-0.1 + 0.0470083265847
-0.0529916734153
What is 243.96 less than -2231395.475?
-2231639.435
148817+9.95302372
148826.95302372
Calculate -770989904 - -45907.
-770943997
Add together 59848388 and 31.984.
59848419.984
Subtract -19565 from 696.148903.
20261.148903
-2701 + 22539.171
19838.171
What is -0.005078 + -178842916?
-178842916.005078
Put together -5497828938 and 14187.
-5497814751
Calculate 254270. | {
"pile_set_name": "DM Mathematics"
} |
-3273 + 8097 = -134*y for y.
-36
Solve -36878*u = -442307 + 4277619 for u.
-104
Solve 0 = 634*s - 29183 + 34889 for s.
-9
Solve 83*n - 183*n = 377*n - 15741 for n.
33
Solve 284*y + 394*y - 45*y - 24054 = 0 for y.
38
Solve 0 = -45133*q + 48785*q + 423632 for q.
-116
Solve 4834*z + 33441 = 141805 - 64588 + 168920 for z.
44
Solve 144*w + 6*w = -238*w + 32*w + 32396 for w.
91
Solve 10580 = 15504*m - 15389*m for m.
92
Solve 387714 = 1549*i + 4986*i - 1156*i + 1423*i for i.
57
Solve 346*h + 1864*h + 10193 + 27377 = 0 for h.
-17
Solve -4532*r - 37796 = 225060 for r.
-58
Solve -706 - 372 = 17*x - 1639 for x.
33
Solve -10517 = -791*y + 17168 for y.
35
Solve -281*u - 86*u = -103*u - 15048 for u.
57
Solve 0*w + 323 = 6*w + 2*w - 25*w for w.
-19
Solve -745*z + 12026 = -8089 for z.
27
Solve 2164*b + 118456 = -1320*b for b.
-34
Solve -30785 = -1930*l + 85388 + 32437 for l.
77
Solve -2261 = 1242*b - 51941 for b.
40
Solve -1854*r + 52315 = 57113 + 78222 + 63446 for r.
-79
Solve 86*n - 312*n + 864 = -97*n - 4167 for n.
39
Solve 311*t = -17651 + 5522 for t.
-39
Solve -2247*p - 38807 - 76153 = -12643 - 3449 for p.
-44
Solve 152*o - 56*o - 79 + 3631 = 0 for o.
-37
Solve 1575*k = 1303*k - 12512 for k.
-46
Solve -18208*z - 176 = -18197*z for z.
-16
Solve 265*l + 16321*l = 2487900 for l.
150
Solve 15*l + 154*l = -239*l + 148*l + 24440 for l.
94
Solve -479*h + 16062 = -5014 for h.
44
Solve -4317*z + 2697*z = 4173*z + 431*z - 267632 for z.
43
Solve 70754*w = 70818*w - 1408 for w.
22
Solve 85*m + 1555 = -7*m - 1941 for m.
-38
Solve 1942*f = -16396 - 98182 for f.
-59
Solve 335767 = 48*w + 336823 for w.
-22
Solve 15*x - 1760 = -16*x - 5*x - 44*x for x.
22
Solve -169*t + 266 = -342*t + 306*t for t.
2
Solve -1759*p - 485598 = -464490 for p.
-12
Solve -716*i + 5270 = 604*i - 1382*i for i.
-85
Solve -19780 = -1564*d + 204*d + 3340 for d.
17
Solve -513*u - 22091 + 4969 - 5918 = 3123 for u.
-51
Solve 1930*s - 27066 + 27982 = -6269 - 239855 for s.
-128
Solve -4626 = 521*z + 5794 for z.
-20
Solve 1909*w + 691218 = -1800*w - 3273*w for w.
-99
Solve -108*y + 359*y = 4396 - 11675 for y.
-29
Solve 60*s = -561*s - 247*s - 65100 for s.
-75
Solve 18557 + 6406 = 447*j + 53*j - 29*j for j.
53
Solve -1180 - 959 = 793*w + 2326 - 1293 for w.
-4
Solve 6407*l = -7181*l + 1195744 for l.
88
Solve 317*l + 82137 = 68506 for l.
-43
Solve -433*b - 16016 - 137540 = 7427*b + 569564 for b.
-92
Solve -6933*i = 741*i + 2936*i + 509280 for i.
-48
Solve -890*c + 2032 - 12738 = -231*c + 7087 for c.
-27
Solve 229265 = 11512*b - 81709 - 356722 for b.
58
Solve 131*h - 233 = -341*h + 115*h + 124 for h.
1
Solve 409*d + 371*d = 1475*d - 433*d - 30130 for d.
115
Solve -452*z = -1026*z - 17220 for z.
-30
Solve 63970 = -39*d + 60889 for d.
-79
Solve -28501*m + 2639 = -28410*m for m.
29
Solve 10101 + 4460 + 1481 = -124*b + 1038 for b.
-121
Solve 7376*o = 6164*o - 48480 for o.
-40
Solve 1579*v = -114007 - 29885 + 19151 for v.
-79
Solve 5989*s + 205216 = 1325*s for s.
-44
Solve 0 = 714*h - 1019*h - 2798*h + 98961 + 15850 for h.
37
Solve 5870389*u = 5870422*u + 198 for u.
-6
Solve 85*v + 7800*v + 616*v + 222700 + 176847 = 0 for v.
-47
Solve 15*m + 25 = 462 + 28 for m.
31
Solve -8466 - 48319 - 60521 = -2394*i for i.
49
Solve -5476*w - 2325214 = -31602*w for w.
89
Solve 8395*q - 7351*q + 105761 - 22241 = 0 for q.
-80
Solve -53581 + 2031 = -1085*s + 49355 for s.
93
Solve 1143*m = 4101*m + 56202 for m.
-19
Solve 0 = -1967*t + 15568*t + 598243 + 201 for t.
-44
Solve 88 + 44 = 12*m - 132 for m.
22
Solve -72*j - 47*j - 136*j = -9435 for j.
37
Solve -691521 = -7015*v + 126521 - 153301 + 184074 for v.
121
Solve 87*y + 2*y + 76*y - 484 = 286*y for y.
-4
Solve 3370*x - 55110 = -2141*x for x.
10
Solve 0 = -23114*h + 23384*h - 4590 for h.
17
Solve -438*m - 870*m + 67*m + 4043 = -49320 for m.
43
Solve 108*d - 204249701 + 204247217 = 0 for d.
23
Solve 32160 = 3674*j - 3004*j for j.
48
Solve -1585*w - 520798 + 2792 = 3446*w + 6230*w for w.
-46
Solve 3489*h - 3544 - 475 = 6995 + 6431 for h.
5
Solve 3073 - 1211 = 98*b for b.
19
Solve 1297*f = -95664 + 46378 for f.
-38
Solve 341*d - 62745 = 1547*d + 15645 for d.
-65
Solve -11995*x + 462444 - 17226 = -206825 - 247582 for x.
75
Solve -918 = -166*u - 16854 for u.
-96
Solve 263*c = 41*c - 26*c - 7688 for c.
-31
Solve -99678 = 61*s - 95835 for s.
-63
Solve -310041 = -7274*n + 177317 for n.
67
Solve 16*r - 52 - 38 = -170 for r.
-5
Solve 178 = -23*v - 362 + 149 for v.
-17
Solve 742*a + 14413 = -536*a + 1481*a for a.
71
Solve 0 = -514*n - 370349 + 360583 for n.
-19
Solve 0 = -2124779*i + 2124907*i - 9472 for i.
74
Solve -38506*y - 19242 + 1127747 = -8543*y - 1168683 for y.
76
Solve -363*s - 23 - 10533 = 1786 for s.
-34
Solve -243*k + 421*k - 308 = 189*k for k.
-28
Solve 15449 - 14081 = -684*w for w.
-2
Solve -1393 + 508338 = -6209*z - 60416 + 2342 for z.
-91
Solve 1091*t - 1150 = 1045*t for t.
25
Solve 24036 = -1771*c + 98418 for c.
42
Solve -1807*x + 25992 = -439*x for x.
19
Solve 101356 + 10708 = 3296*h for h.
34
Solve -213*h + 1863*h - 206151 = -4597*h for h.
33
Solve 14*x + 184*x - 1672*x - 10318 = 0 for x.
-7
Solve 337*v + 2757 = 10119 + 4030 + 2425 for v.
41
Solve 25320*l - 25217*l - 4532 = 0 for l.
44
Solve -51*n - 176*n - 1114 - 4650 = 7402 for n.
-58
Solve 13903*t + 2643396 = 849909 for t.
-129
Solve -20365*o - 47056 = -18981*o for o.
-34
Solve 10122*x + 4518 = 9620*x for x.
-9
Solve 121*j = 517*j - 184*j - 9328 for j.
44
Solve 0 = 39365*a - 39701*a + 15456 for a.
46
Solve 0 = 1850*v - 1332 + 689 - 121 - 1086 for v.
1
Solve -5453 = -222*y + 2353 - 9804 for y.
-9
Solve -142*l = -96*l - 46 for l.
1
Solve -2184*n - 1836 - 3399 + 1257 = -1878*n for n.
-13
Solve 576*f + 10435 + 11534 = 4113 for f.
-31
Solve 857*u + 2078*u + 850*u - 19544 + 61179 = 0 for u.
-11
Solve -18855 - 24240 = -283265*d + 283928*d for d.
-65
Solve -72447 = -28*o + 200*o - 951*o for o.
93
Solve 902*r + 2646*r = 329*r - 93351 for r.
-29
Solve 177*w - 14697 = -70*w + 34*w for w.
69
Solve 151*h + 210963 = 210057 for h.
-6
Solve 8310*u + 117052 = -6191*u + 3401*u - 1248248 for u.
-123
Solve 408*u + 69*u = -1208*u + 139855 for u.
83
Solve 0*x = -40*x + x + 858 for x.
22
Solve 303 = 168*f + 59 - 92 for f.
2
Solve -103845*n = -103919*n + 3108 for n.
42
Solve 625*c + 20158 = 12033 for c.
-13
Solve 7880*c + 259459 - 231527 = -302291 - 197737 for c.
-67
Solve 19*l + 159609 = 161319 for l.
90
Solve -610*j - 1218 + 2675 = -12015 - 26788 for j.
66
Solve 0 = -3349*o + 1392*o - 1389*o - 755*o - 20505 for o.
-5
Solve -204*c - 160*c - 87 + 2 = 1735 for c.
-5
Solve 0 = -3020673*g + 3020647*g + 546 for g.
21
Solve 1071*b + 315 = -1068*b + 2148*b for b.
35
Solve -5519*m = 1068*m - 19761 for m.
3
Solve -362*x - 1975*x + 12364 + 14378 = 8046 for x.
8
Solve -498*u - 9291 + 6303 = 0 for u.
-6
Solve -2227*f + 42799 = -725*f - 65879 - 17490 for f.
84
Solve 1178*u + 2590*u - 1457*u + 198702 = -2918*u for u.
-38
Solve -238*q - 603*q + 94192 = 0 for q.
112
Solve 5040 = -1188*z + 1398*z for z.
24
Solve 138351 - 137415 = -24*l for l.
-39
Solve 61452 - 91525 = -493*g for g.
61
Solve -679*o + 496*o - 1041 = -7446 for o.
35
Solve 771*y = 59425 + 30782 for y.
117
Solve -1410*c - 6071 = 21613 + 86526 for c.
-81
Solve -1326*x - 800*x - 40515 = 140195 for x.
-85
Solve 500*s - 1072*s - 2370*s = 114738 for s.
-39
Solve -194752*j + 194551*j = -3417 for j.
17
Solve -129*s + 3623 = 4*s - 3825 for s.
56
Solve 3146 - 343 = 38*n + 485 for n.
61
Solve 432 - 100881 = 1193*m + 30781 for m.
-110
Solve -191*o - 9574 + 2823 = 6237 for o.
-68
Solve 24*c = 107 + 127 + 6 for c.
10
Solve -44 - 58691 = -3209*a + 30465 + 13488 for a.
32
Solve 63*u + 221*u - 709 = 8095 for u.
31
Solve 152*i - 52174 = -60078 for i.
-52
Solve 228226 = -511*d + 34465*d - 43406 for d.
8
Solve 267*h = -264*h + 282*h + 3446 + 6265 for h.
39
Solve -11041 = 80115*u - 80593*u - 2437 for u.
18
Solve -10*t - 132 + 355 = -439 - 78 for t.
74
Solve -61*q - 7*q + 1179 + 1405 = 0 for q.
38
Solve -503*m - 16198 = -9659 for m.
-13
Solve -505*p + 10429 = 33659 for p.
-46
Solve 10147*a = -5559*a + 1012*a - 34923 + 828399 for a.
54
Solve 149*v + 340*v + 441*v = 4650 for v.
5
Solve -30215375*c - 1632 = -30215324*c for c.
-32
Solve 91*z = -292*z + 7277 for z.
19
Solve -132*b + 14100 = 8424 for b.
43
Solve 0 = 2 | {
"pile_set_name": "DM Mathematics"
} |
n(3). Let w(t) = 6*t + 1 + 7*t - 19*t - 2*t**3 + 0*t**3. Let p(m) = -2*m**3 - 5*m. Determine o*p(s) - 5*w(s).
-2*s**3 - 5
Let o(j) = -1. Suppose 0 = -l + 2*k + 9, 3*k + 5 = -l - 2*k. Let x(z) = -785*z - l + 0 + 784*z. What is 3*o(w) - x(w)?
w + 2
Let y(u) = -9*u - 12. Let o(k) = -k - 1. Let r(c) = -20*c - 286. Let s be r(-14). Give s*o(d) + y(d).
-3*d - 6
Let k(q) = 13*q - 316. Let n(o) = 16*o - 315. What is -3*k(s) + 2*n(s)?
-7*s + 318
Suppose 4158 = 22*p - 4*p. Suppose -28*r - p = -17*r. Let w(k) = -36*k**3 - 21*k. Let b(c) = -7*c**3 - 4*c. Determine r*b(d) + 4*w(d).
3*d**3
Let d = -537 - -660. Suppose 53 = 2*k + d. Let x(n) = -4*n**3 + 6*n**2. Let o(h) = 25*h**3 - 35*h**2. Calculate k*x(s) - 6*o(s).
-10*s**3
Let z(f) = -88368*f - 768. Let s(j) = 4651*j + 40. Determine 96*s(u) + 5*z(u).
4656*u
Let o(z) = -13*z + 164. Let x(u) = -5*u + 82. Give 4*o(f) - 7*x(f).
-17*f + 82
Let f(o) = 3*o**2 + o - 1. Let y(m) = 485*m**3 - 22*m**2 - 11*m + 8. What is 8*f(v) + y(v)?
485*v**3 + 2*v**2 - 3*v
Let d(w) = 6*w**3 + 7*w**2 + 11. Let m(f) = 11*f**2 + 3*f**3 - 7*f**2 - f**2 + 5. Let s = -15952 - -15945. Determine s*m(o) + 3*d(o).
-3*o**3 - 2
Let d(p) = -1. Let h(n) = -3*n - 69. Let l be h(-23). Let m(q) = l + 2*q**2 - q + 0*q**2 - 4 + 2*q. Calculate 3*d(w) - m(w).
-2*w**2 - w + 1
Let c(d) = 6*d - 9. Let y be (-2 - -7)/(18/(7 + 11)). Let f(l) = 4*l - 6. What is y*c(i) - 7*f(i)?
2*i - 3
Let y(m) = -2*m**2 - 11*m + 6. Let j(r) = r**2 + 6*r - 3. Suppose -11 + 510 = 48*q - 29. Give q*j(x) + 6*y(x).
-x**2 + 3
Let z(y) be the third derivative of y**5/60 - y**3/6 + 9*y**2 + y. Let p(j) = 2*j**3 + 6*j**2 - 6. Let m be (-78)/65*20/(-3). What is m*z(r) - p(r)?
-2*r**3 + 2*r**2 - 2
Let l(r) = 305*r**3 - 22*r**2 - 15*r - 4. Let k(x) = 76*x**3 - 6*x**2 - 4*x - 1. Determine -22*k(w) + 6*l(w).
158*w**3 - 2*w - 2
Let g(m) = m**2. Let v(q) be the second derivative of -q**4/6 + 10*q**2 - 1145*q. Calculate -3*g(u) - v(u).
-u**2 - 20
Let g(m) = 45*m**2 + 8*m + 15. Let w(h) = 23*h**2 + 4*h + 9. What is -3*g(r) + 5*w(r)?
-20*r**2 - 4*r
Let i(k) = 7185*k**3 - 39*k**2 - 78*k + 39. Let u(p) = 898*p**3 - 5*p**2 - 10*p + 5. Determine 10*i(g) - 78*u(g).
1806*g**3
Let c(u) = -5*u**2 - 10*u + 10. Let y be 61674/21 + 23/161. Let b(r) = -1469*r**2 - r - 1469*r**2 + 1 + y*r**2. What is -10*b(q) + c(q)?
5*q**2
Suppose -887*k + 48 = -895*k. Let i(l) = 2*l**3 + 6*l + 15. Let q(n) = 6*n**3 + 17*n + 45. Determine k*q(f) + 17*i(f).
-2*f**3 - 15
Suppose -19*a = 27 - 141. Let g(u) = 11*u - 8. Let c(w) = 11*w - 7. Give a*g(m) - 7*c(m).
-11*m + 1
Let m(g) = -5*g**2 - 2*g - 18. Let j(o) = o**2 + 3*o + 1. Determine -6*j(z) - m(z).
-z**2 - 16*z + 12
Let o(n) = -120*n**3 - 9*n**2 - 23*n - 26. Let c(z) = 30*z**3 + 2*z**2 + 6*z + 6. What is 9*c(s) + 2*o(s)?
30*s**3 + 8*s + 2
Let n(j) = -25*j**2 + 527*j - 1. Let o(x) = -21*x**2 + 531*x - 1. Calculate 4*n(t) - 5*o(t).
5*t**2 - 547*t + 1
Let o(a) = -4*a**3 + 2*a**2 - 429*a - 1. Let z(r) = 5*r**3 - 3*r**2 + 431*r + 1. Give 3*o(i) + 2*z(i).
-2*i**3 - 425*i - 1
Let o(k) be the first derivative of -95 - 3*k - k**2 - 1/3*k**3. Let s be 4*((-3)/(-2) - 1). Let c(w) = -w**2 + w + 1. What is s*c(l) + o(l)?
-3*l**2 - 1
Let r(z) = -z**2 + 12*z + 2. Let a(s) = -6*s**2 + 35*s - 52. Give -a(q) + 3*r(q).
3*q**2 + q + 58
Let k(i) = 10*i**3 + 166*i**2 + 2*i - 8. Let w(g) = -16*g**3 - 331*g**2 - 3*g + 14. What is 5*k(j) + 3*w(j)?
2*j**3 - 163*j**2 + j + 2
Let h(w) = 20*w + 14. Let s(d) be the second derivative of 2/3*d**3 - 2*d - 7 + 3/2*d**2. Calculate 3*h(x) - 14*s(x).
4*x
Let k = 12 + -9. Let l(d) = 0*d**3 + 0*d + 3*d**k + d - 2*d**3. Let t(c) be the second derivative of -7*c**5/20 + c**4/6 - c**3 - c**2 + c. Give -6*l(o) - t(o).
o**3 - 2*o**2 + 2
Let m be 3 + 374/110 + 3/5 - 3. Let s(q) = 1. Let x(u) = -5*u + 3. Give m*s(l) - x(l).
5*l + 1
Suppose -34*c - 33 + 171 = 35*c. Let i(n) = -n**3 - n**2 + n. Let d(q) = 3*q**3 - 2*q + 2. Give c*i(b) + d(b).
b**3 - 2*b**2 + 2
Let q(h) = 187*h**2 - 104*h. Let j(v) = -63*v**2 + 34*v. What is -7*j(s) - 2*q(s)?
67*s**2 - 30*s
Let r(m) = 95*m**2 + 6*m + 76. Let k(u) = 1232*u**2 + 77*u + 980. Give -6*k(z) + 77*r(z).
-77*z**2 - 28
Let b(t) = 15*t**2 + 706. Let x(n) = -11*n**2 - 471. Determine -5*b(v) - 7*x(v).
2*v**2 - 233
Let w(l) = -8*l**2 - 31*l + 68. Let n(a) = -3*a**2 - 10*a + 22. Determine -11*n(m) + 4*w(m).
m**2 - 14*m + 30
Let c(k) = -5*k**3 - k**2. Let u(p) = 10*p**3 + p**2. Let h be 0 + (-6)/(-14) - (-3484)/364. Suppose 5 + h = 5*v. Calculate v*u(g) + 5*c(g).
5*g**3 - 2*g**2
Let t(q) = 6861650*q**3 + 7418*q**2 - 3709*q. Let s(g) = -3701*g**3 - 4*g**2 + 2*g. Determine -3709*s(a) - 2*t(a).
3709*a**3
Let b(y) = -51*y - 38. Let q(n) = -4*n - 7. Let j(k) = -b(k) + 6*q(k). Let s(x) = 26*x - 3. Give 2*j(f) - 3*s(f).
-24*f + 1
Let g(f) = 5*f**2 - 2*f - 55. Let u(y) = -y**2 - 2*y - 1. Give 3*g(z) - 3*u(z).
18*z**2 - 162
Let i(x) = 2*x**2 - 10*x + 32. Let t(k) = k**2 + k - 25. What is -i(y) - 6*t(y)?
-8*y**2 + 4*y + 118
Let h(s) = -1 - 1 - 8*s - 3. Let f(c) = -6505*c + 10. Let r(n) = -53664*n + 84. Let l(w) = -33*f(w) + 4*r(w). Give -5*h(q) - 4*l(q).
4*q + 1
Let n(w) = -w. Let i(g) = -6*g - 6. Suppose 0 = -5*t + 4*z + 15, 85*z - 80*z = 3*t - 22. Give t*i(j) + 5*n(j).
j + 6
Let f(g) = -g**2 + 7*g + 51. Let c(p) = -2*p**2 + 20*p + 151. What is 4*c(k) - 11*f(k)?
3*k**2 + 3*k + 43
Let l(i) = -6*i**3 + 2*i**2 - 4*i. Let y(a) = 189*a + 5. Let p(r) = -151*r - 4. Let d(v) = 5*p(v) + 4*y(v). Give -5*d(j) - l(j).
6*j**3 - 2*j**2 - j
Let d(i) = 4*i + 2. Let a(v) = -78 + 64*v - 32*v + 81 - 28*v. Let l(m) = m - 3. Let b be l(6). What is b*d(z) - 2*a(z)?
4*z
Let v(n) = 2819*n**2 - 4*n + 4. Let h(a) = -5634*a**2 + 7*a - 7. Determine -4*h(b) - 7*v(b).
2803*b**2
Let n(j) = -26*j**3 - 7*j**2 - 2*j. Let q(z) = 9*z**2 - 65*z - 5. Let k(x) = -2*x**2 + 13*x + 1. Let c(y) = -5*k(y) - q(y). Determine -6*c(a) - n(a).
26*a**3 + a**2 + 2*a
Let p(g) = 9*g + 24. Let q(z) = 34*z - 6. Let a(i) = -148*i + 24. Let h(r) = -6*a(r) - 26*q(r). What is -14*h(m) + 6*p(m)?
-2*m - 24
Let b(y) = -20*y**3 - 18*y. Let a(f) = -f**2 - 21*f + 105. Let i be a(4). Let m(z) = 3*z + 2*z**3 + 6*z + i*z**3 - 2*z - z. Give -6*b(t) - 17*m(t).
t**3 + 6*t
Let a(c) = -4*c - 7. Let v(h) = -46*h + 1234 - 1230 + 48*h. Determine -4*a(d) - 7*v(d).
2*d
Suppose -165*n + 5*w + 45 = -164*n, 3*w = -n - 19. Let c(j) = -6*j**3 + 4*j**2 + 14. Let d(f) = 7*f**3 - 5*f**2 - 14. Calculate n*c(a) + 4*d(a).
-2*a**3 + 14
Let k be 4/12*-9 + 20. Let c(a) = -3*a - 9*a + k*a - 11 + 1. Let w(d) = 14*d - 29. Calculate 11*c(q) - 4*w(q).
-q + 6
Let w(g) = 9*g - 4044. Let z(k) = -5*k + 2020. What is -3*w(j) - 5*z(j)?
-2*j + 2032
Let v(z) = -2*z**2 - 2*z - 3. Suppose 3*n = -14*n + 204. Suppose g + m = -n, 0 = g + 3*m - m + 15. Let x(j) = 8*j**2 + 9*j + 12. What is g*v(w) - 2*x(w)?
2*w**2 + 3
Let v(r) = -39*r + 2. Let m(t) = -138*t + 6. Let z(o) = 2*m(o) - 7*v(o). Let i(d) = -6*d - 4. Give -3*i(u) + 5*z(u).
3*u + 2
Let j(c) = -10*c**2 + 899*c - 46. Let m(p) = -3*p**2 + 449*p - 18. Calculate -2*j(q) + 5*m(q).
5*q**2 + 447*q + 2
Let n(y) = 297*y**2 - 17*y - 37. Let v(l) = -198*l**2 + 12*l + 26. Give -5*n(r) - 7*v(r).
-99*r**2 + r + 3
Let z(g) = -7*g + 14. Let f(i) = 82*i + 48. Let b(v) = -31*v - 15. Let d(l) = 11*b(l) + 4*f(l). Suppose 0 = 5*o - 46 - 9. Give o*z(j) - 6*d(j).
j - 8
Let f(w) = 29*w**2 + 63*w - 52. Let b(k) = -21*k**2 - 49*k + 40. Let t(p) = 18*b(p) + 14*f(p). Let r(i) = 19*i**2 - 5. Let m = -9 + 14. Give m*t(s) - 8*r(s).
-12*s**2
Let j(f) = 1. Let p be ((-1)/4)/(34/(-408)). Suppose -u = 4*w - 4 - 1, 5*u - 8 = -p*w. Let l(k) = -3*k**2 + 3. Give u*l(t) - 3*j(t).
-3*t**2
Let l(v) = -v - 1. Let h(w) = -2*w**2 - 2*w - 8. Let z be (36/8)/(132/(-48) - -2). Determine z*l(u) + h(u).
-2*u**2 + 4*u - 2
Let o(w) = 101 + 94 + 95 + 101 - 17*w**2 - 374 - w**3. Let n(l) = 1 + 0*l**2 + 0*l**2 - l**2. Determine 102*n(p) - 6*o(p).
6*p**3
Let o(d) = d**2 - 4*d + 6. Let l(x) = -2*x**2 + 9*x - 13. Let p be ((-6)/(-9))/((-4)/522*-3). Suppose -6*n + 2*n + p = s, 10 = 2*n. What is s*o(r) + 4*l(r)?
r**2 + 2
Let q(x) = -7*x**2 - 89*x + 2910. Let h(j) = 2*j**2 + 28*j - 970. Determine -19*h(c) - 6*q(c).
4*c**2 + 2*c + 970
Let j be 1/4 + (-81)/(-12). Let c(u) = -5*u - 8. Let q(n) be the first derivative of 2*n**2 + 7*n - 34228. What is | {
"pile_set_name": "DM Mathematics"
} |
66 - 654. Solve 0 = 3*j - 4*t + 25, -t + f = 2*t for j.
-3
Let p be ((-4)/(-18))/(122/2745). Let g be 3*2/3 - 0. Let i be 3/(1/7*1). Solve p*n + g*c = i, -3*n + c + 19 = -c for n.
5
Let k be (5/(-10))/((-3)/(-18)). Let j be -1 - (-3 - -15)/k. Solve -j*b + 5 = -a - 6, 3*a = 4*b - 13 for b.
4
Suppose 22 + 18 = 4*t - 4*o, 0 = -3*t + 4*o + 32. Suppose 0 = -2*s - 0 + t. Solve -2*r - 6 = -s*x, -3*r - 4 = 3*x + 5 for r.
-3
Suppose 4*u - 3*q = 21, 2*u + 9 = -9*q + 4*q. Solve -u*c - j + 6 = 0, 4*c = 6*c + j - 3 for c.
3
Let j(d) = 0*d - d**2 - 10 - 15*d + 47. Let s be j(-17). Solve -5*u - n - 11 = 0, 4*n - 4 = s*n for u.
-3
Suppose 0 = -4*o - 2*m + 106, 27 = 4*o - 4*m - 85. Suppose -o - 13 = -8*z. Solve 7*v - w - 27 = 2*v, 0 = z*w + 10 for v.
5
Let w(n) = n**2 - 15*n - 32. Let u be w(-2). Solve l + 4 = -d, -2*d + l = 7 - u for d.
-3
Suppose 5*l - 150 = -4*a, -a - 2*l - 124 = -4*a. Let v = -19 - -23. Solve -v*x = -5*n - 12, 4*n + 4*x + a = 16 for n.
-4
Suppose 4*c - 45 = -2*b - 3*b, -4*c = 3*b - 35. Suppose -h = -5*h + 16. Let z be (-3)/(-3*3/27). Solve -b*m - 18 = p - 0*m, m = h*p + z for p.
-3
Let v be (1 + -2 + 4)*24/18. Let h be 9/(81/6)*(-1 + v). Solve -3*f - 5*r = -5, h*f - 4*r = -r - 22 for f.
-5
Suppose 4*m - 2*m - 5*f - 10 = 0, -4*m + 5*f = -20. Suppose 0 = m*p + 2*q - 42 + 10, -q = -1. Let d = p + -2. Solve 0 = 9*i - d*i + 5, 5*b = -5*i + 5 for b.
2
Let p be (76/(-190))/(-1 - (-38)/40). Suppose h = 5*n + 6, -5*h + p + 0 = -3*n. Solve 3*f - 4*b = -h + 18, -20 = 4*b for f.
-1
Let g be (-7)/((-42)/16) + 8/(-12). Solve -2*d + 18 = 3*c - g, -2*d = -2*c for c.
4
Suppose 9 = 5*s - 2*u, -5*s - 2*u - 5 = -6. Solve 0*h = -3*h - 3*n + 15, 0 = h - 5*n + s for h.
4
Suppose 12*w - 10*w = 26. Suppose 33 = w*u + 7. Solve a + a = -2*c - 4, -u*a - 3 = 3*c for c.
1
Suppose 45 = 2*x + 13. Suppose x = 3*n + n. Let z be 0 + (-2)/2*0. Solve 6 = 5*i + 2*t - 10, z = n*i + 4*t - 20 for i.
2
Suppose 10*j - 64 = -24. Solve 0 = 5*s - 2*x + 33, j*s - x = -16 - 8 for s.
-5
Let f be (-27)/(-2)*(-11 - -5). Let l = -56 - f. Suppose -2*d + l = 3*d. Solve 0 = -5*k + 3*h + 11, -h = 2*k - 6 - d for k.
4
Suppose 0 = w - 7. Suppose -w + 31 = -3*f. Let l = f - -11. Solve -l = 4*y - 2*p + 3, 3*p = 4*y + 11 for y.
1
Suppose -4*f + 88 = -3*a, -4*a - 67 = f + 63. Let p = a + 33. Solve -5*o - 3*h = -10, -2*h + 6 = 3*o - p for o.
-1
Let m = -24 - -14. Let a = 10 - m. Let i be 48/a - 2/5. Solve -i*c - 5*n = -9, 3*n + 3 = -5*c - n for c.
-3
Let f(k) be the first derivative of -k**3/3 - 5*k**2/2 + 16*k + 4. Let z be f(-7). Solve -v + z*q + 6 = -7, -4*v + 5*q + 37 = 0 for v.
3
Let o be ((40/15)/(-8))/((-4)/60). Solve 0 = o*z - 3*a + 16, 5*z + 5*a + 40 = -0*a for z.
-5
Suppose -k = 2*b + 3 - 2, -2*k + 5*b = -16. Solve 0*f = f - 2*x, 0 = f + k*x for f.
0
Suppose 0 = 25*d + 39*d - 192. Solve 3*r = 2*r - d*s - 2, 2*r = 3*s - 13 for r.
-5
Suppose -177*r - 32 = -185*r. Solve -3*k - 5 = r*f - 14, 4*f = -k + 11 for f.
3
Suppose 69 = 8*f - 11*f. Let r = 22 + f. Let n be (78/(-18))/(r/3). Solve -5*b + 2 = -o - 0, 0 = -b - 4*o + n for b.
1
Let r = 282 - 277. Solve 0 = 4*b - r*t - 18, 4*b + 0*t = t + 10 for b.
2
Let g(d) = -d + 16. Let p be g(0). Suppose 4*a = -20 - 60. Let f be (-14)/(-3) - 4 - a/6. Solve -f*z + p = 2*w - 4*w, -w - 12 = -3*z for w.
0
Let m be 3 - 1/2*26. Let w = m + 18. Suppose w*j = 13*j - 100. Solve -5*g = -g - 2*r + 16, -5*g = 5*r + j for g.
-4
Let u be (0 - 5)/(-5)*(-7 - -12). Solve u*x + z = -25, 2*x + 5*z = -0*z - 10 for x.
-5
Let o = -221 + 337. Let u be (o/(-8))/((-3)/(-6)). Let a = u + 33. Solve 4*r + 2*p - 7 = 1, -2*r = a*p - 16 for r.
0
Let y(q) = 3*q - 2. Let u be y(2). Suppose -4*j = -18 - 2. Let h(a) = -a**3 - 8*a**2 + 8*a - 6. Let m be h(-9). Solve -u*o - j*t - 3 = -3*o, 0 = -3*t - m for o.
2
Suppose 5*v = 4*n + 9 - 3, 0 = 3*v - n - 5. Solve 0*q - 4*q - 16 = -2*u, 0 = 4*u - v*q - 20 for u.
4
Let y = -560 + 562. Solve -y*c = 2*n + 4, -n - 5 = -4*c - 3 for n.
-2
Suppose -3*g + 2*u = -u - 66, -3*g + 42 = 5*u. Let h be (-9)/(-6)*(-20)/(-6). Suppose 5 = -h*l + 60. Solve g = -2*i + 3*v - 2, 2*i + l = v for i.
-3
Let k(m) = -m**3 + 9*m**2 - 7*m - 7. Let x be k(8). Solve 21 = -5*h - 4*c, 2*h + 5 = -4*c - x for h.
-5
Let i be (-3 + (-52)/(-12))*3. Suppose 3*g - i*y - 4 = 0, 0*g + 24 = 4*g + 4*y. Suppose 4 - 12 = -g*w. Solve -3*b - a - 21 = 2*b, -2*a = w*b + 10 for b.
-4
Suppose -5*a = -0*a - 20. Let f be (-1 - a)*80/50. Let w = f - -13. Solve -5*d = w*u + 40, d = 2*u + 2*u + 17 for u.
-5
Let v(a) = a**2 + 7*a + 1. Let n be (-1219)/115 - (-3)/5. Let y be v(n). Let m = 31 - y. Solve r + 1 = -2*o - 2, 4*r + 4*o + 4 = m for r.
1
Let f = 503 + -499. Solve 3*i - f = -0*z - z, 3*i - 5 = -2*z for i.
1
Let c be (1/(-6))/((-56)/1008). Solve 4*v - 14 = 2*f + 9*v, c*v + 15 = f for f.
3
Let o = 5 - 0. Let m be 30/2 - (2 - 3). Let w = 5 + m. Solve -n + o*z - 9 + w = 0, 0 = 5*n - 3*z + 6 for n.
-3
Suppose -t - 3 = 2*w - 10, -3*t + 12 = 3*w. Let g = -1961 - -1963. Solve g*x + 5 + 15 = -4*c, 0 = -4*x - w*c - 25 for x.
-4
Let a be 88/18 - (-62)/558. Solve -4*r = a*c + 18, 3*r + 0*r + 8 = -c for r.
-2
Suppose -44 = m - 2. Let d = m - -47. Solve 8 = -2*t + 2*c, 2*c + 2*c = d*t + 21 for t.
-5
Let o(b) = -20*b + 224. Let y be o(11). Solve 2*c - 3*c + 5 = y*a, -2*a = -c - 1 for a.
1
Suppose 4*u - 15 = 3*f, 2*u + u = f. Let l be (-2)/(-6) - (-12)/f*-14. Solve 2*m = -0*m - 8, 4*m + l = 3*i for i.
1
Let q = 448 + -435. Solve f + h + 6 = 0, 3*f + q = -5*h - 9 for f.
-4
Let y be 1*4/4 + -22. Let n be (-99)/y + (-8)/(-28). Solve -n*o - 19 = -2*p, -2*p + 0*o = -4*o - 14 for p.
-3
Let u = -95 - -99. Suppose 0 = 4*g - 5*c - 5, u*g + 3*c = -g + 34. Solve 0 = 3*h + g*k + 19, 4*k + 22 = -5*h - 1 for h.
-3
Suppose p - 41 = -s, -2*s + 154 - 60 = -p. Let u = s + -30. Solve -3*r = u, -5*a = 2*r + 15 + 5 for a.
-2
Suppose 2*u - 6 = -4*x - 0, -x = 5*u - 6. Suppose x = i + k, -2*i - k = -6*k - 23. Solve 5*g = -i*p + 4 - 23, 2*p - 4*g - 10 = 0 for p.
-1
Suppose 0 = 5*y + 4*f - 21 - 7, -3*f + 15 = 3*y. Let m be 2 - (y/(-12) + (-4)/(-6)). Solve 3*r = -2*u - 2, 6*r = r + m*u + 18 for r.
2
Suppose -5*k = -0*k. Suppose -t - t - 4*r - 4 = k, 0 = 5*t + 5*r. Solve -t*i - 2*i + 32 = 4*c, -i + 20 = 4*c for c.
4
Suppose 5*g - 5*n = 15, -4*n - 28 = 5*g - g. Suppose 10 = 2*t + 2, 2*x - 28 = -5*t. Let h be (5 - x)*(g + 7). Solve -12 + 37 = w + h*a, 0 = w + a - 5 for w.
0
Let o(i) = i - 9. Let s(t) = t - 8. Let z(q) = -4*o(q) + 3*s(q). Let x be (0 - 1)*16/(-2). Let k be z(x). Solve -y = 4*y + m - 25, 0 = k*y + 3*m - 20 for y.
5
Let p(h) = -h**2 + 17*h - 39. Let j be p(3). Solve 5*v + 7 = -3*i - 10, -j*i - 3*v - 9 = 0 for i.
1
Let o be -1 + (-24)/(-28) + (-2)/(-14). Solve -2*n + 20 = -4*c + 2*n, o = -3*c + 4*n - 20 for c.
0
Let a(k) = 6*k - 1. Let p be a(1). Let i = 24 - 10. Let b = i + 4. Solve v + o = -p + 1, 0 = -3*v + 3*o - b for v.
-5
Suppose 10 = 3*j + j - 2*t, 20 = j - 4*t. Suppose l = 4*y - 2 + 32, j = 2*l - 3*y - 50. Solve 0 = -5*a + 3*u - l, -a - 5*u = -2*a for a.
-5
Let m be ((-42)/(-4))/(9/90). Let v = -54 + m. Let w = 79 - v. Solve -3*o + 15 = 0, a - 2*o = -7*o + w for a.
3
Let r(a) = 4*a**2 + 1. Let b be r(1). Suppose 5*k - 102 = -4*x, -2*x + 59 = x - b*k. Solve -3*v - 1 = 2*z, z + x = 3*z - 5*v for z.
4
Let b be (255/34)/(3/2). Solve 5*k = -2*s - 14, b*k - 4 = 5*s + 2*k for s.
-2
Let q(k) = -38*k - 184. Let t be q(-5). Solve 5*d + 2*v = t, 4*d - 5*v + 15 = -d for d.
0
Let l be ((-2)/(-6))/(11*(-3)/(-198)). Solve 2*m + 5*z = 10, 3*m + l*z - 4*z = -23 for m.
-5
Suppose -3*u + 14 = 3*h - 1, 3*h = u + 11. Suppose 18 = h*w + 2*t, 2*w - t + 2 - 1 = 0. Solve -5 = f + w*i, 1 = f - 0*f - i for f.
-1
Suppose 3*m + 3 = 0, -3*m = p - 0 - 2. Let v = p + -2. Suppose 4*o - f = 2*f + 14, -v*f = 6. Solve -2*a + h - o = -h, -3*h = -2*a for a.
-3
Suppose -280 + 25 = -51*q. Solve 2*b = 6, -q*k + 3*b = -4 + 3 for k.
2
Suppose 13*d = 11*d - 8. Let v(t) = -t**2 - 5*t - 1. Let y be v(d). Solve 3*o + 7 = k, 2*o + 1 = -y*o - k for o.
-1
Let t = -4 + 6. Let w be (-1)/(10/36)*(-135)/54. Suppose -3*f - w = -18. Solve 0*c + f*c = -2*x + 12, -13 = -t*c - 3*x for c.
2
Let w be (-2 + 48/9)/(6/36). Solve -3*m - w = 4*n - 4, 0 = 2*n - m + 8 for n.
-4
Let s = -13 - -9. Let t be (-33)/s + 1/(-4). Let k(f) = f**3 + 7*f**2 + f + 10. Let x be k(-7). Solve -2* | {
"pile_set_name": "DM Mathematics"
} |
inutes after 9:06 AM?
1:09 PM
How many minutes are there between 10:55 PM and 3:05 AM?
250
How many minutes are there between 5:43 PM and 12:44 AM?
421
How many minutes are there between 9:49 AM and 4:43 PM?
414
How many minutes are there between 2:07 AM and 8:23 AM?
376
How many minutes are there between 1:02 PM and 11:33 PM?
631
What is 552 minutes before 9:14 PM?
12:02 PM
How many minutes are there between 3:34 AM and 2:59 PM?
685
How many minutes are there between 4:39 AM and 6:58 AM?
139
What is 524 minutes before 3:24 AM?
6:40 PM
How many minutes are there between 1:59 AM and 1:54 PM?
715
How many minutes are there between 6:43 AM and 10:00 AM?
197
What is 676 minutes after 4:59 PM?
4:15 AM
How many minutes are there between 12:38 PM and 11:17 PM?
639
What is 665 minutes before 11:21 AM?
12:16 AM
What is 641 minutes before 7:03 PM?
8:22 AM
How many minutes are there between 11:16 PM and 6:40 AM?
444
How many minutes are there between 7:38 PM and 6:12 AM?
634
How many minutes are there between 6:45 PM and 10:36 PM?
231
How many minutes are there between 4:27 PM and 1:11 AM?
524
How many minutes are there between 7:50 AM and 7:18 PM?
688
What is 186 minutes before 8:52 PM?
5:46 PM
How many minutes are there between 11:45 AM and 10:16 PM?
631
How many minutes are there between 3:57 PM and 4:59 PM?
62
What is 33 minutes before 10:14 AM?
9:41 AM
What is 185 minutes after 9:34 PM?
12:39 AM
How many minutes are there between 3:06 AM and 9:40 AM?
394
How many minutes are there between 8:26 PM and 3:16 AM?
410
How many minutes are there between 9:44 PM and 4:18 AM?
394
How many minutes are there between 6:24 AM and 7:55 AM?
91
What is 493 minutes after 8:38 AM?
4:51 PM
How many minutes are there between 1:14 PM and 3:54 PM?
160
How many minutes are there between 4:50 PM and 9:10 PM?
260
How many minutes are there between 5:29 PM and 2:19 AM?
530
What is 141 minutes after 10:15 AM?
12:36 PM
What is 667 minutes before 12:14 AM?
1:07 PM
What is 525 minutes before 4:22 PM?
7:37 AM
What is 142 minutes before 3:45 AM?
1:23 AM
What is 186 minutes before 5:58 AM?
2:52 AM
How many minutes are there between 9:24 PM and 1:48 AM?
264
What is 25 minutes before 8:27 AM?
8:02 AM
What is 589 minutes after 10:07 PM?
7:56 AM
What is 328 minutes after 12:49 PM?
6:17 PM
What is 524 minutes after 12:27 AM?
9:11 AM
How many minutes are there between 9:37 PM and 4:23 AM?
406
What is 20 minutes before 10:29 PM?
10:09 PM
How many minutes are there between 9:15 PM and 2:25 AM?
310
How many minutes are there between 5:36 AM and 8:47 AM?
191
What is 398 minutes before 10:47 AM?
4:09 AM
What is 331 minutes after 12:43 PM?
6:14 PM
What is 453 minutes before 11:19 PM?
3:46 PM
How many minutes are there between 1:25 PM and 6:34 PM?
309
How many minutes are there between 3:01 PM and 1:31 AM?
630
How many minutes are there between 10:24 AM and 11:56 AM?
92
How many minutes are there between 6:33 PM and 5:20 AM?
647
How many minutes are there between 6:52 PM and 5:55 AM?
663
What is 416 minutes after 4:50 AM?
11:46 AM
How many minutes are there between 9:21 PM and 10:17 PM?
56
What is 394 minutes after 1:54 PM?
8:28 PM
What is 439 minutes before 1:06 AM?
5:47 PM
What is 144 minutes before 4:00 AM?
1:36 AM
How many minutes are there between 2:15 PM and 10:28 PM?
493
How many minutes are there between 3:40 AM and 3:26 PM?
706
What is 560 minutes after 12:28 PM?
9:48 PM
What is 557 minutes before 7:36 AM?
10:19 PM
How many minutes are there between 4:47 PM and 4:30 AM?
703
How many minutes are there between 1:59 PM and 11:37 PM?
578
What is 337 minutes before 7:13 AM?
1:36 AM
How many minutes are there between 7:39 PM and 9:09 PM?
90
What is 139 minutes before 1:03 AM?
10:44 PM
How many minutes are there between 12:33 PM and 9:18 PM?
525
How many minutes are there between 1:18 AM and 1:00 PM?
702
How many minutes are there between 4:50 AM and 12:15 PM?
445
How many minutes are there between 2:40 PM and 6:31 PM?
231
How many minutes are there between 11:40 AM and 8:58 PM?
558
What is 254 minutes after 4:49 AM?
9:03 AM
How many minutes are there between 7:26 AM and 6:35 PM?
669
What is 303 minutes after 10:15 PM?
3:18 AM
How many minutes are there between 7:39 PM and 12:05 AM?
266
What is 596 minutes before 8:16 AM?
10:20 PM
How many minutes are there between 11:15 PM and 4:08 AM?
293
How many minutes are there between 12:02 PM and 8:12 PM?
490
How many minutes are there between 4:48 PM and 4:50 PM?
2
How many minutes are there between 3:22 PM and 10:12 PM?
410
How many minutes are there between 1:46 PM and 8:30 PM?
404
What is 354 minutes before 6:19 PM?
12:25 PM
What is 376 minutes after 1:33 AM?
7:49 AM
What is 501 minutes after 3:10 AM?
11:31 AM
What is 685 minutes before 6:07 AM?
6:42 PM
What is 327 minutes after 3:55 PM?
9:22 PM
What is 41 minutes after 9:24 AM?
10:05 AM
What is 708 minutes before 6:48 PM?
7:00 AM
What is 283 minutes after 12:25 PM?
5:08 PM
How many minutes are there between 11:55 AM and 12:43 PM?
48
What is 195 minutes after 1:12 AM?
4:27 AM
What is 82 minutes after 8:04 PM?
9:26 PM
What is 141 minutes before 8:28 PM?
6:07 PM
How many minutes are there between 7:53 PM and 5:52 AM?
599
How many minutes are there between 3:55 AM and 4:14 AM?
19
What is 41 minutes after 7:13 AM?
7:54 AM
How many minutes are there between 5:22 PM and 6:18 PM?
56
How many minutes are there between 8:18 PM and 5:27 AM?
549
How many minutes are there between 10:33 AM and 3:43 PM?
310
What is 300 minutes before 2:45 AM?
9:45 PM
How many minutes are there between 12:58 AM and 1:52 AM?
54
How many minutes are there between 9:21 PM and 8:41 AM?
680
What is 636 minutes before 9:44 AM?
11:08 PM
What is 344 minutes after 9:08 PM?
2:52 AM
What is 82 minutes after 11:45 AM?
1:07 PM
How many minutes are there between 1:12 AM and 3:20 AM?
128
How many minutes are there between 9:44 PM and 5:07 AM?
443
What is 145 minutes after 1:51 AM?
4:16 AM
How many minutes are there between 8:26 AM and 7:41 PM?
675
What is 572 minutes before 12:44 AM?
3:12 PM
How many minutes are there between 2:51 PM and 12:35 AM?
584
How many minutes are there between 1:49 PM and 12:36 AM?
647
How many minutes are there between 8:43 AM and 1:47 PM?
304
What is 130 minutes before 2:45 PM?
12:35 PM
How many minutes are there between 2:20 PM and 2:06 AM?
706
What is 620 minutes before 2:06 PM?
3:46 AM
What is 547 minutes after 5:38 AM?
2:45 PM
How many minutes are there between 5:10 AM and 11:17 AM?
367
What is 270 minutes after 1:06 AM?
5:36 AM
What is 132 minutes before 3:51 AM?
1:39 AM
How many minutes are there between 1:32 AM and 6:56 AM?
324
How many minutes are there between 10:11 AM and 12:23 PM?
132
What is 123 minutes before 5:03 PM?
3:00 PM
What is 19 minutes after 8:23 AM?
8:42 AM
What is 501 minutes after 2:48 AM?
11:09 AM
What is 345 minutes after 12:13 PM?
5:58 PM
What is 646 minutes before 8:55 PM?
10:09 AM
How many minutes are there between 12:53 AM and 11:24 AM?
631
How many minutes are there between 9:00 AM and 1:15 PM?
255
What is 371 minutes before 10:17 PM?
4:06 PM
What is 309 minutes after 3:11 PM?
8:20 PM
What is 152 minutes after 11:42 PM?
2:14 AM
What is 617 minutes before 1:57 PM?
3:40 AM
What is 171 minutes before 11:38 PM?
8:47 PM
How many minutes are there between 4:20 AM and 4:08 PM?
708
What is 148 minutes after 12:28 PM?
2:56 PM
What is 491 minutes after 3:00 PM?
11:11 PM
How many minutes are there between 12:02 PM and 5:04 PM?
302
What is 706 minutes before 1:05 AM?
1:19 PM
How many minutes are there between 8:20 AM and 9:02 AM?
42
How many minutes are there between 2:02 PM and 7:27 PM?
325
How many minutes are there between 4:54 PM and 8:21 PM?
207
How many minutes are there between 9:50 AM and 2:43 PM?
293
How many minutes are there between 6:18 AM and 5:37 PM?
679
How many minutes are there between 2:11 PM and 12:00 AM?
589
How many minutes are there between 7:46 AM and 2:12 PM?
386
What is 463 minutes after 7:55 AM?
3:38 PM
What is 573 minutes before 5:20 AM?
7:47 PM
How many minutes are there between 10:30 PM and 3:58 AM?
328
What is 504 minutes after 7:47 PM?
4:11 AM
What is 448 minutes after 8:42 AM?
4:10 PM
How many minutes are there between 12:36 AM and 4:13 AM?
217
What is 410 m | {
"pile_set_name": "DM Mathematics"
} |
qrt(5) + (sqrt(5)*2 - sqrt(5)) + sqrt(5))*5)).
0
Simplify (1 + (-2*sqrt(825)*-6)/(-5*2*-2*sqrt(11)))*-2.
-6*sqrt(3) - 2
Simplify 2 + ((1 + ((sqrt(1100) - ((sqrt(1100) - sqrt(1100)*1*-6) + sqrt(1100)) - sqrt(1100)) + (0 + 2*sqrt(1100) - sqrt(1100)) + 2)*-4)*3)**2.
-35280*sqrt(11) + 7762043
Simplify ((4*sqrt(385)*-1)/sqrt(7))/(3*(sqrt(125) + sqrt(125) + sqrt(125)*-3)).
4*sqrt(11)/15
Simplify ((4*sqrt(140)*-2)/(sqrt(140)/sqrt(5) + sqrt(7)))/(sqrt(1000)*1*-2 + (sqrt(1000) - (-6*sqrt(1000)*2 + sqrt(1000)))) + 2.
-2*sqrt(2)/75 + 2
Simplify 3*4*((-6*(sqrt(98) + 0) - (sqrt(98) + 4 + sqrt(98)*1 + sqrt(98) + sqrt(98) - sqrt(98))) + -2).
-756*sqrt(2) - 72
Simplify (4*sqrt(315)*1*6)/(sqrt(45)*1 + sqrt(180)*2).
24*sqrt(7)/5
Simplify ((sqrt(96) - 6*sqrt(96)*1) + sqrt(96) + sqrt(96) - 5*(sqrt(96)*2 + sqrt(96)))/((sqrt(147) - (sqrt(147) + sqrt(147)*3) - sqrt(147))*-3*-1).
6*sqrt(2)/7
Simplify 3 + ((sqrt(243) + sqrt(243) + -3 + sqrt(243) + sqrt(243) + sqrt(243) + 0 - sqrt(243)) + 4 + -4 + sqrt(243)*-3*6)**2.
756*sqrt(3) + 47640
Simplify ((sqrt(252) + -4*sqrt(252)*6)*1 - (0 + 4*(sqrt(252) - (3 + sqrt(252)))))**2*-2.
-266904 + 6624*sqrt(7)
Simplify (sqrt(352)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)) + (sqrt(528)*1)/sqrt(12))/(sqrt(48)/(sqrt(12) + sqrt(48)/sqrt(16)))*3.
6*sqrt(11)
Simplify -3 + sqrt(28)/(-4*3*sqrt(4)) - ((sqrt(448) + sqrt(7))*-5 + sqrt(7) + (sqrt(7) - (2 + sqrt(112)))).
-1 + 563*sqrt(7)/12
Simplify (sqrt(5929)*-3 + -3*sqrt(441))/((sqrt(567) + (2*sqrt(567) - sqrt(567)) - -1*sqrt(63))*-4).
sqrt(7)/2
Simplify (((-2*2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70)*1*4 + sqrt(70))*-2)/((sqrt(120)*-2)/sqrt(12) - -3*sqrt(90)) + -5.
-5 + 2*sqrt(7)/7
Simplify (5 + ((1*sqrt(700) + -3 - sqrt(700)) + -5)*3 + -1*sqrt(700)*6*-4*-4)**2.
36480*sqrt(7) + 6451561
Simplify 3*(((4*(sqrt(99)*-1 - sqrt(99)) + sqrt(99) - sqrt(99)) + 1 + -5*(sqrt(99) - -2*sqrt(99))*4)*-1)**2.
-1224*sqrt(11) + 1373331
Simplify 1*(-1 + (0 + (sqrt(245) - (2 + sqrt(245))) - (-1 + -1*sqrt(245))) + 2)**2 + 3.
248
Simplify ((-2*sqrt(153)*2 + sqrt(153) - (-1*sqrt(153) - sqrt(153))*1)/((sqrt(1089) - (sqrt(1089) + 2*sqrt(1089)*-4)) + sqrt(1089)*1*2))**2.
17/12100
Simplify (sqrt(91) + sqrt(91)*2*4 + (sqrt(91) - 3*sqrt(91)*-1))/((-1*sqrt(1225))/((sqrt(7) + sqrt(28))*-2)).
78*sqrt(13)/5
Simplify -1 + sqrt(11) + 2 + (sqrt(396) + 2)**2 - (1*sqrt(539)*1 + sqrt(539))*4.
-31*sqrt(11) + 401
Simplify (sqrt(245)*1)**2 - (sqrt(3200)/sqrt(10))**2 - (5 + (sqrt(180) - (sqrt(180) + -2)) - (((sqrt(180) - (sqrt(180) + 0 + -3))**2 - sqrt(180)) + sqrt(180))).
-73
Simplify (((sqrt(480) + 1*sqrt(480))*5)/(3*sqrt(16)/sqrt(2)))/(sqrt(12) - sqrt(108)/sqrt(9)*2 - sqrt(84)/(sqrt(77)/sqrt(11))).
-5*sqrt(5)/3
Simplify -2*(2*-1*sqrt(882) - sqrt(882))/((sqrt(882) + (sqrt(882) - sqrt(882)*-2) + sqrt(18))/sqrt(2)).
42*sqrt(2)/29
Simplify (((-6*sqrt(168)/sqrt(3) - 2*sqrt(224))*2)/(sqrt(32)*4 + (sqrt(24)*3)/sqrt(3)))**2.
2800/121
Simplify (-5 + -1 + sqrt(200)/(sqrt(8)/sqrt(2)*-3)*-5)**2*-6.
-3148/3 + 600*sqrt(2)
Simplify ((3*sqrt(84)*1)/(-2*sqrt(343)))/(3*sqrt(196)*-1*-5).
-sqrt(3)/490
Simplify (-1 + 1 + -1 + sqrt(468) + -4)**2 - ((sqrt(468) - (sqrt(468) + -1*sqrt(468)))**2 + -4 + sqrt(468) + (-5*(sqrt(468) + 1))**2 + -4).
-11692 - 366*sqrt(13)
Simplify (6*(sqrt(90)*1*6 - sqrt(90)))/((sqrt(5) - (-2*sqrt(180) - sqrt(5))) + sqrt(5) + sqrt(5) + sqrt(5) + sqrt(245)*2 + sqrt(5))*-4.
-45*sqrt(2)/4
Simplify (sqrt(450)*-3*-1)/((sqrt(1210) + (sqrt(1210) + -3*sqrt(1210) - sqrt(1210)))*6)*-3.
9*sqrt(5)/44
Simplify 4 + (sqrt(272) - (2 + 2 + sqrt(272))) + 4 + (1 + (sqrt(272) - (sqrt(272) + 2)*-1))*1.
7 + 8*sqrt(17)
Simplify 1 + ((-1 + sqrt(242) - (sqrt(64)/sqrt(2) - sqrt(2))) + (sqrt(22)*-2*-6)/(sqrt(11)*-2*2))**2.
-10*sqrt(2) + 52
Simplify -4*(sqrt(117)*3*5 + sqrt(117) + (sqrt(117)*2 + sqrt(117))*-4)/((sqrt(5400)*-2 - sqrt(5400))/sqrt(6)).
8*sqrt(13)/15
Simplify (4*((sqrt(66)*-3*-5 - sqrt(66)) + sqrt(66)))/(2*(3*sqrt(726) + sqrt(726))) + 0.
15*sqrt(11)/22
Simplify (0 + -3*((sqrt(512) - (sqrt(512) + -1*sqrt(512) + -2)) + (-1 + sqrt(512))*1)*-4)**2.
9216*sqrt(2) + 295056
Simplify ((2*(sqrt(45) - 1*sqrt(45))*-5)**2 + ((5 + (sqrt(5) - -2*sqrt(15)/sqrt(3)))*-6)**2)*4.
4320*sqrt(5) + 10080
Simplify (1 + (-5 + -2*(sqrt(252)*2 - sqrt(252)) + -2*(-2 + sqrt(252)))**2)*2.
96*sqrt(7) + 8068
Simplify 1 + -1 + (sqrt(637) - (5 + sqrt(637)*2)**2) + (sqrt(13) + -3)*-4*4 + -4.
-2529 - 149*sqrt(13)
Simplify ((sqrt(340) + sqrt(340) + -4*-2*sqrt(340))/(sqrt(90)*1))/(4*sqrt(8)/sqrt(4)*5*2).
sqrt(17)/12
Simplify (-2*sqrt(800))**2 + 2 - -4*(sqrt(800) - (-2 + sqrt(800)) - sqrt(800))**2.
-320*sqrt(2) + 6418
Simplify (-3*(6*(2*sqrt(192) + sqrt(192)))/sqrt(12))/(sqrt(8) + sqrt(288)*3 + (sqrt(288)/sqrt(6))/sqrt(6)).
-27*sqrt(2)/10
Simplify (1 + (-1 + -3*-4*(1 + 2*(sqrt(99) + -1)))**2)*-1.
-57194 + 1872*sqrt(11)
Simplify ((2*(sqrt(3000) - ((sqrt(3000)*-1 - sqrt(3000))*-6 + sqrt(3000))))/((1*sqrt(450))/(sqrt(10)/sqrt(2)*-4)))**2.
307200
Simplify (((sqrt(162) - (1 + sqrt(162))) + 1 - (5 + sqrt(162) + -1)) + 4 - ((sqrt(162) - (3 + sqrt(162))) + 2 - (-2 + sqrt(162)*2 + sqrt(162))))**2.
-36*sqrt(2) + 649
Simplify (-3 + 6*sqrt(72) + sqrt(72) + sqrt(72) + 3 + 5)**2*-5*6.
-138990 - 14400*sqrt(2)
Simplify (-1 + (3 + 4*(sqrt(931) + (-2*sqrt(931) - sqrt(931))) + -2 - -4*(-2*sqrt(931)*-3 + sqrt(931) - (-5 + (1 + sqrt(931) - sqrt(931))))))**2.
4480*sqrt(19) + 372656
Simplify (-5*(-2 + (sqrt(539) + 0)*-4 + -1)*6 + 4)**2*1.
157920*sqrt(11) + 7770436
Simplify ((5 + sqrt(704) - sqrt(704))*-5*6)**2 + 5 + (2*(-1 + sqrt(704)))**2.
-64*sqrt(11) + 25325
Simplify (((sqrt(5103) - (sqrt(5103) - 5*sqrt(5103)))*1 + sqrt(5103))*-1)/((sqrt(63) + (sqrt(63) - (-2*sqrt(693))/sqrt(11)))/(sqrt(28)*-1 - sqrt(7))).
81*sqrt(7)/2
Simplify -2 + ((sqrt(468) - (1*sqrt(468) + sqrt(468))*2 - (sqrt(468)*-2 + 5))**2 - 3*(-4 + -1*sqrt(468))**2).
-961 - 84*sqrt(13)
Simplify (-2*(0 + (1 + sqrt(700) + -4)*4 + (sqrt(700) - (2 + sqrt(700)))*-2*-5))**2.
-10240*sqrt(7) + 48896
Simplify -6*(2 + (-4*(sqrt(125))**2 - sqrt(5))) + 6*sqrt(35)/(sqrt(28)/sqrt(4))*-6 + 4.
-30*sqrt(5) + 2992
Simplify ((-5*(-4 + sqrt(128)) - sqrt(128)) + -2)**2 - (sqrt(128) - -5*(sqrt(128) + -2*sqrt(128)) - -6*(sqrt(128) + sqrt(128)*2))**2.
-20156 - 1728*sqrt(2)
Simplify (sqrt(153) + -2*2*sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + -2*sqrt(153)*5 - sqrt(153)))))/(-6*sqrt(144) + -3*sqrt(9)*-3).
4*sqrt(17)/5
Simplify (1*(4*sqrt(70)*2 + (1*sqrt(70) - sqrt(70))*6 + sqrt(70)))/((sqrt(360) - (sqrt(360) + 4*(sqrt(360) - -1*sqrt(360))))*3).
-sqrt(7)/16
Simplify (sqrt(48)*-6 - (sqrt(432) + -1*sqrt(432)))/(-5*(sqrt(144) - 3*(sqrt(144) + (sqrt(144) - 1*sqrt(144)))))*-1.
sqrt(3)/5
Simplify 4*(2 + 0 + sqrt(252) + 5) + (-4 + (sqrt(252) - (3 + sqrt(252))) - -2*(-4*sqrt(252))**2).
24*sqrt(7) + 8085
Simplify (-2*sqrt(2430)*5 + sqrt(2430) + sqrt(2430) + sqrt(2430) + sqrt(2430) + -2*sqrt(2430)*-2)/((sqrt(216) - sqrt(216)*1*-2)*-6)*-3.
-sqrt(5)/2
Simplify 1*((3 + sqrt(80) + 4 + sqrt(80))*3 - (sqrt(80)*-1 + 4 + sqrt(80) + -1*2*sqrt(80))**2).
-315 + 88*sqrt(5)
Simplify ((4 + (1 + sqrt(800) + sqrt(800))*-1 + -1 + 1)*2)**2.
-960*sqrt(2) + 12836
Simplify (sqrt(16)/(sqrt(4)/sqrt(2)) - (sqrt(8) + (-2*sqrt(968) - sqrt(968))))/(-1*sqrt(144)*1 + (-1*(sqrt(144) - -2*sqrt(144)) - sqrt(144)))*-1.
11*sqrt(2)/10
Simplify ((sqrt(150)/(-1*sqrt(10)) + sqrt(120)/(sqrt(8)*-1))/(2*sqrt(363)*2))**2.
5/484
Simplify ((sqrt(192) + -1 + sqrt(192))*6 + (-4 + sqrt(192) + -2 - sqrt(192)))**2 - (3*(sqrt(192) + sqrt(192)*2) - (-5*(sqrt(192) + 2))**2).
-1576*sqrt(3) + 32692
Simplify ((sqrt(72) + sqrt(72) + sqrt(72)*1 + -2 + 3 - (3 + sqrt(72) + 4 + 5))*-3)**2.
-2376*sqrt(2) + 3681
Simplify (-5*sqrt(243)*1 + 1 + sqrt(243) + -5 - (-5 + 2 + (sqrt(243)*1 + sqrt(243) - sqrt(243)) + 5))**2.
540*sqrt(3) + 6111
Simplify ((-2 + -1*-4*(sqrt(153) + 1) - (5 + 5*-5*-1*sqrt(153))) + -4)**2.
882*sqrt(17) + 67522
Simplify (((sqrt(187) - -5*sqrt(187)*1) + sqrt(187) - (sqrt(187) + 2*sqrt(187)*5))*3)/((-1*sqrt(121)*5)/(1*sqrt(1584) + sqrt(1584) - sqrt(1584))).
144*sqrt(17)/5
Simplify ((4 + sqrt(2736) + sqrt(19))**2 - sqrt(19)*-1*2) + 2*((-1*sqrt(684) - sqrt(684) - sqrt(684)) + 4*(sqrt(19) + 2 + sqrt(19)))**2 + 2.
-214*sqrt(19) + 7157
Simplify (-1 + -1*sqrt(192)*-5 + 2 - (-5 + sqrt(192) + -1 - (sqrt(192)* | {
"pile_set_name": "DM Mathematics"
} |
allest value in 2, n, -4?
2
Let y = 25 - 28. What is the smallest value in -4, y, -2/15?
-4
Let m = -1.78 - -1.58. What is the biggest value in m, -2/9, -4, 0.1?
0.1
Let w = -2.1 - -4.1. What is the biggest value in -4, w, 1/5?
w
Let x = -3.94 + -0.06. What is the biggest value in -3, x, 2/9?
2/9
Let o = 4 - -1. Let l(j) = j**2 + 7*j + 9. Let y be l(-6). Suppose -y*r = r. Which is the smallest value? (a) r (b) 2/7 (c) o
a
Let m = -15 + 15.4. Which is the smallest value? (a) -12 (b) -2 (c) m
a
Let x = 3 - 2.95. Let j be ((-4)/33)/((-4)/6). Which is the second smallest value? (a) -0.4 (b) j (c) x
c
Let i = 0.7 + -0.2. Let r = 2.98 - -0.02. Which is the third biggest value? (a) -5 (b) r (c) i
a
Let r(l) = l - 3. Let v be r(3). Let b(p) = -p**3 + 1. Let u be b(v). Let g be u/(-3) + 2/18. What is the second smallest value in -4, g, 0.1?
g
Let i be 16/(-154) + (-4)/(-14). What is the third smallest value in i, 0.2, 0.5?
0.5
Let q = -74 + 70.1. Let u = q + 4. Let y = -1 - -1.5. Which is the biggest value? (a) -4 (b) u (c) y
c
Let q = -10 + 15. Let u be (-2 + 1)/(3 + -4). Let z be 9/(-7) - (-1)/u. Which is the second smallest value? (a) -0.5 (b) z (c) q
b
Let l = -20.5 - -21. Which is the smallest value? (a) l (b) -0.3 (c) -0.5
c
Let j = -110026 - -6931858/63. Let w = j - 34/9. Which is the biggest value? (a) 2/5 (b) -3 (c) w
a
Suppose -3*w - 3*j = -12, -5*j + 15 = -0*j. Let v be ((-20)/(-25))/(w/(-5)). Which is the smallest value? (a) v (b) 2 (c) -2
a
Let g be 215/10 + (-2)/(-4). Let t be 2/9 + g/(-18). Let y be (2*-1)/(t - -2). Which is the second smallest value? (a) 0.5 (b) 1 (c) y
a
Let u = -5 + 0. Let j = 0.79 + -0.29. What is the third biggest value in -1, u, j?
u
Let s(n) = -2*n**2 - 3*n - 1. Let l be s(-2). Let g = -13/10 - 1/5. Let z = -3.6 - -3.4. What is the smallest value in g, l, z?
l
Let v = -3/4 + 1/2. Let s be (7/((-21)/(-30)))/2. Suppose -8 = s*c - 3. What is the second biggest value in 0.4, v, c?
v
Let o = 1 + -2. Let f = 0.11 - 1.51. Let m = -0.4 - f. Which is the biggest value? (a) 0.3 (b) o (c) m
c
Let n be (-3)/(7/5 + -2). Which is the fourth smallest value? (a) 0 (b) -2/15 (c) n (d) 1/6
c
Let b = 6.03 + -0.03. Let c = b - 5. What is the third biggest value in -5, c, 0?
-5
Let g = -1.17 + 0.17. Which is the third smallest value? (a) -3 (b) 0.2 (c) g
b
Let d = -2108/13 + 162. What is the fourth biggest value in 0.4, -2/3, 1, d?
-2/3
Let j = -110 + 110.5. Let y be (11/4)/(2/(-8)). Let f be 2 - y*(-1)/4. What is the third smallest value in -1/10, f, j?
j
Suppose -3*x = -15, 5*h - 3*x = -4*x - 10. Let f be ((-10)/(-4) + h)*-1. Let k = 2.7 - 3. What is the smallest value in k, f, 0.3?
k
Let k = 22 - 20.03. Let s = -0.03 - k. Which is the smallest value? (a) -1/2 (b) s (c) -3
c
Let z = -3/1192 - 174905/8344. Let k = z - -85/4. Let d = -10 + 8. What is the biggest value in k, d, -1?
k
Let w = -2 - -1.98. Let n = 4.53 - 0.55. Let a = n - w. What is the smallest value in a, -0.5, 3/4?
-0.5
Let i = 0 - -3. Let m = 0 + i. Which is the second smallest value? (a) -4 (b) m (c) 0
c
Let p = -293396/107 - -2742. Let w = 244/1605 + p. What is the second smallest value in w, 3/5, -0.1?
w
Let t = -0.09 - 0.91. Which is the biggest value? (a) t (b) 3 (c) -7
b
Let f = -14.11 - -0.11. Let q = f + 15. Which is the smallest value? (a) -2/7 (b) q (c) -0.1
a
Let w = 6 - 6.4. Let u = -283 + 284. Which is the second biggest value? (a) -2 (b) w (c) u
b
Let i = 2 + -4. What is the third biggest value in -0.1, 5, i?
i
Let t be ((-8)/(-84))/(15/(-35)). What is the smallest value in t, -4, 3.2?
-4
Let g = 15.5 - 13. Let t = g - 0.5. Let l = 1 - 0.8. Which is the smallest value? (a) l (b) 4 (c) t
a
Let p = -25 + 14. Let j = p - -8. What is the biggest value in -5, j, 0.2?
0.2
Let z = -16 - -31/2. What is the biggest value in 3, -0.4, z?
3
Let g = -6 - -6.11. Let i = g - -0.19. Which is the smallest value? (a) i (b) 4 (c) 0.1
c
Let f = -0.1 + -0.4. Which is the third smallest value? (a) 2 (b) -0.1 (c) f
a
Let q = -4 + 8. Let l = 0.157 - -0.043. Which is the second biggest value? (a) 2 (b) q (c) l
a
Suppose -15 = 2*c - 5. Let q be 5/(-4) - c/20. What is the biggest value in q, 3, 2?
3
Suppose 3 = 4*p + 2*o - 1, -p + 3*o = -1. Which is the smallest value? (a) -0.5 (b) p (c) -1/3
a
Let y = 2961/11 + -269. Which is the smallest value? (a) 3 (b) 0.03 (c) y (d) 0.1
b
Let a = -0.19 + 0.69. What is the third smallest value in 2, -2, a?
2
Let t be 1/3825*(-2259804)/(-1028). Let j = -6/4369 + t. Let d = 6/25 - j. Which is the third smallest value? (a) 0.5 (b) -2/9 (c) d
a
Let h = 237 - 447. Let i = h - -1677/8. Which is the second smallest value? (a) 0.4 (b) 1 (c) i
a
Let g = -738 - -93727/127. Let z = 261/889 - g. Which is the second smallest value? (a) z (b) 1/3 (c) 0.5
b
Let l = -10 - -5. Let r = 3 - 2.5. Let n = -39 + 39. Which is the second biggest value? (a) n (b) r (c) l
a
Let g = -59/5 - -12. Let h(q) = q**2 + 16*q + 5. Let x be h(-16). Suppose -5*j + 5*b + 15 = 0, x*b - 8 = -3. What is the third biggest value in j, -4, g?
-4
Let b = 6157059/80 - 76962. Let n = 7/16 - b. What is the biggest value in n, -2, -2/7?
-2/7
Let n = -21 + 6. Let q = -15.4 - n. What is the second smallest value in q, 4, -3?
q
Suppose -4*j + 8 = 2*k, k + 3*k - 29 = 5*j. Let y be 6/(-15)*10/k. Which is the third biggest value? (a) y (b) 0.1 (c) 0.3
a
Let v = 0.9 + -1.2. Which is the smallest value? (a) -6/5 (b) v (c) 2
a
Let d = 2.86 - -0.14. Let p = 1 - 3. Let f = p + 2.02. What is the third smallest value in f, -1, d?
d
Let i be (-21)/(-54) - (-2)/(-9). What is the second smallest value in i, -4/7, 4?
i
Let p = 67/6 - 11. Let x be (11/132)/(3/(-6)). What is the smallest value in 2, x, p?
x
Let y be 316/84 - (-1)/1. Let p = y + -13/3. What is the smallest value in 0.5, p, 0.4?
0.4
Suppose 5 - 15 = -2*u. Which is the smallest value? (a) u (b) -0.1 (c) 5/3
b
Let h = -2.5 + 2. What is the second biggest value in 0, -2/9, h?
-2/9
Let p be (-28)/13 - (2 + -4). Let y be 30/(-4)*(-4)/(-3). Let s = y + 6. What is the third biggest value in p, s, 4?
s
Let v be (-8)/6*24/(-64). Let h = -21.7 - -22. Which is the third smallest value? (a) h (b) 0.4 (c) v
c
Let j = -16.7 + 17. What is the third biggest value in 1/3, -3/4, j?
-3/4
Let b be 2/(-6) - 28/6. Suppose 13*y = r + 9*y - 20, 2*y = 2*r - 16. What is the biggest value in b, 0.4, r?
r
Let o = 13 - 7. Let i = -6 + o. Which is the third biggest value? (a) 3 (b) i (c) -0.2
c
Let m(i) = i**3 - 2*i**2 + i - 1. Let k be m(2). Suppose -2*t = 2 + 4. Which is the second biggest value? (a) -0.5 (b) k (c) t
a
Let v = 1.9 + -0.2. Let g = -6.7 + v. Let j = 1.8 - 2. Which is the third biggest value? (a) 4 (b) g (c) j
b
Let t = 94 + -91. Which is the second biggest value? (a) -0.2 (b) -2/3 (c) t
a
Let f = -1.76 + -0.14. Let j = f - -0.9. Which is the second biggest value? (a) -13 (b) j (c) 4
b
Let u = -1.61 + -0.39. Let p = 1.02 + -0.02. What is the third smallest value in p, -1/8, u?
p
Let i = -78.79 - -78. Let y = -0.7 - i. Let r = y - 0.09. What is the second biggest value in 4/7, -2/5, r?
r
Let t be (-4)/30*2/((-8)/(-6)). Which is the third biggest value? (a) 0.3 (b) t (c) -0.3 (d) 0.1
b
Let p = -38 + 35. What is the second biggest value in p, 5, -2?
-2
Let y = -6 - -6.5. Let k be -5 - (1 - 2)*3. What is the second biggest value in 5, y, k?
y
Let w = 6 - 5.4. Let k = w + -0.5. What is the second smallest value in k, -0.3, 4?
k
Let i(u) = 2*u**2. Let r be i(1). Suppose r = -5*d - 3. What is the biggest value in d, -4/7, -6/7?
-4/7
Let g be 9/6 + 2 + -2. Let m = g + 1. Which is the smallest value? (a) m (b) -1/3 (c) -0.1
b
Let d = -4.7 + 1.7. What is the third biggest value in 2, d, 10?
d
Let y = -4.5 + 4.3. What is the biggest value in y, -2/5, 2, 1/3?
2
Let u = 3 - 1. Suppose 5*o = -u*g + 27, -4*g + 19 = 5*o - 2*o. Let k be ((-6)/8)/(1/4). Which is the biggest value? (a) k (b) 2/13 (c) o
c
Let q = -1.5 - -2. Let v = -12 - -12.5. Let k = q + v. Which is the biggest value? (a) k (b) -0.5 (c) -3/8
a
Let i = -1.97 + -0.03. Let b be ((-3)/(-4))/((-15)/60). What is the second biggest value in b, i, 3?
i
Let m = -16 + 31. Let g = m + -15.5. | {
"pile_set_name": "DM Mathematics"
} |
q(o) = -3*o + o**2 + 0*o - h + 3*o - 3*o. What is q(b)?
-2
Let k(d) = -138*d - 15 + 5 + 137*d - 6. What is k(-11)?
-5
Let i(c) = c**3 + 6*c**2 - 3*c + 21. Let t be i(-7). Let o(y) = y**2 + 8*y - 10. Determine o(t).
-17
Let n(l) = l + 2. Let q(r) = r - 6. Let h be q(1). Let f be 19 + h + (4/(-2) - 2). Calculate n(f).
12
Let r(x) = -x - 1. Let o(f) = -f**3 + 20*f**2 + 2*f - 32. Let l be o(20). Let z be l + -3*(4 + -3). Calculate r(z).
-6
Suppose 263*q = 285*q - 88. Let t(k) be the second derivative of 10*k - 5/3*k**3 + 0 + q*k**2 + 1/12*k**4. Calculate t(6).
-16
Let s(y) = -6*y - 45. Let n be s(-8). Let q(v) = 11*v**n + 0 + 1 + 2626*v - 2625*v. Determine q(-1).
-11
Let w(i) be the second derivative of -i**4/12 + 2*i**3/3 + 5*i**2/2 - 22*i + 2. What is w(5)?
0
Let y(v) be the second derivative of -5*v**3/6 + 5*v**2/2 + 98*v. Give y(3).
-10
Let y(u) = -8*u + 1. Suppose -4 = -4*o + 2*o, -5*g - 161 = -3*o. Let d = g + 64. Let h = d - 32. Determine y(h).
-7
Let q(k) = -k**3 - 14*k**2 - 13*k - 2. Let r(s) = s**2 + 2*s - 61. Let t be r(-8). What is q(t)?
-2
Let u(t) = -t**3 - 3*t**2 - t - 1. Let b be 205/7 + 18/(-63). Let c = 26 - b. Give u(c).
2
Let k(b) = 7*b**2 + 2*b + 2. Let r(x) = 11*x**2 + 3*x + 3. Let o(i) = 7*k(i) - 5*r(i). Let w = 773 - 774. Give o(w).
-6
Let r(x) be the third derivative of -x**4/12 - x**3/2 + 6*x**2. Let y = -6 - -15. Let w be 6/4*(-12)/y. Give r(w).
1
Let h(k) = -5*k**2 - 3*k - 4. Let z(g) = -2*g**2 - 2*g - 2. Let y be -2*28/16*2. Let w(a) = y*z(a) + 3*h(a). Let f = 9 - 3. Give w(f).
-4
Let t(q) = -q**2 + 19 - 11 - 110*q + 114*q. What is t(6)?
-4
Suppose 3*n + 2*q + 17 = 0, -4*n = -q + 3*q + 26. Let f be n/12*2/3*6. Let g(h) = -h - 7. Determine g(f).
-4
Let t(w) = 0 - 2 + w + 3 - 9*w**2. Let u(v) = -v**3 - v**2 + 7*v + 2. Let l be u(-3). What is t(l)?
-9
Let d(t) = -t**3 + 10*t**2 - 18*t + 8. Suppose 0 = 5*a - a - o - 36, 4*a - 52 = 5*o. Let y be d(a). Let z(w) = -w + 4. What is z(y)?
12
Let r(x) = x**3 - x**2 + x + 1. Let v be 5/(-16)*-4 - 50/40. Calculate r(v).
1
Let t(h) be the first derivative of 5/2*h**2 - h + 21. What is t(-3)?
-16
Let k(f) be the second derivative of f**3/6 + 8*f**2 - f - 36. Give k(-7).
9
Let g be ((-10)/165)/(10/(-110))*-3. Let v(d) be the second derivative of d**4/12 + d**2/2 - d. Determine v(g).
5
Let s = -222 + 225. Let z(g) = -g**3 + g**2 + 2*g - 3. Determine z(s).
-15
Let m(t) be the second derivative of t**3/3 + 7*t**2/2 + 2*t - 3. Determine m(6).
19
Let s = 187 + -187. Let w(c) = -c - 5. What is w(s)?
-5
Suppose 6*m + 8*m - 70 = 0. Let r(k) = -k**3 + 5*k**2 + 3*k + 9. Calculate r(m).
24
Suppose 0 = -12*t + 38*t. Let b(y) be the second derivative of t - y**2 + 7*y + 1/6*y**3. What is b(3)?
1
Let p(g) be the third derivative of -g**6/180 + g**5/40 - g**4/24 - 3*g**3/2 + g**2. Let w(v) be the first derivative of p(v). What is w(2)?
-3
Let s(i) = -5*i**2 + 5*i - 2. Let p(k) = -11*k**2 + 11*k - 5. Suppose -2*v - 41 = 5*b, 2*v = 3*v - 2. Let z = 18 + b. Let c(y) = z*s(y) - 4*p(y). Give c(-2).
-4
Let o(w) be the first derivative of 3*w**2 - 24. Calculate o(1).
6
Let k(o) be the first derivative of 0*o**2 - 7 + 1/60*o**5 + 0*o**4 - o**3 + 0*o. Let w(t) be the third derivative of k(t). Give w(-3).
-6
Let l(m) = -m**3 + 3*m**2 - 7*m + 2. Let x(u) = 49*u - 242. Let y be x(5). Give l(y).
-19
Let g(f) = -f**2 + f - 1. Let d(o) = o**2 + 2. Let t(q) = d(q) + 4*g(q). Let r be (-2)/(-11)*(-2 + 13). Give t(r).
-6
Let x(k) = 53*k - 57. Let u be x(1). Let w(l) = -3*l**2 - 2 - l**3 - 2 - l**2. What is w(u)?
-4
Let f(u) = 2*u**2 - 4*u - 10. Let v be f(4). Let i(j) = -j**3 + 8*j**2 - 6*j + 5. Give i(v).
41
Suppose -7*d + 642 = 621. Let n(u) = -3*u**2 - u - 9 + 6 + u**3 + 5*u - 3*u. Give n(d).
0
Let q be (-10)/(-45) + 470/(-9). Let n = q + 17. Let o be 20/n + 24/(-7). Let h(y) = -y**3 - 4*y**2 - 3. Give h(o).
-3
Let c(w) = 9 + 6 - 1 + 12*w. Let k be c(6). Let m(s) = -k*s**3 - 3 + 1 - 4*s**2 + 87*s**3 - 4*s. Give m(5).
3
Let y(c) be the first derivative of 3*c + 2*c**3 - 1/2*c**2 - 2 + 1/4*c**4. Determine y(-6).
9
Let s be 0 + -1 - (-21)/7. Suppose s*r = 4 - 0. Suppose -3*c = -r*c - 1. Let p(d) = -13*d - 1. Give p(c).
-14
Let y(j) = 9*j + 164*j**2 + 3 - 163*j**2 + 7. Calculate y(-5).
-10
Let r(w) = -w**2 - 21*w + 21. Suppose 4*n + 94 = 2*a, 4*n + 132 = -a + 47. Give r(n).
-1
Let t(r) = r + 13. Suppose 0 = 8*l - 5*l + 5*v + 16, 2*l = -3*v - 12. Calculate t(l).
1
Let d(x) be the second derivative of -x**5/20 + x**4/12 + x**3/6 - 2*x**2 - 105*x. Determine d(0).
-4
Let j(i) = -8*i**2 + 3*i + 4. Let h be j(-1). Let f(x) = -x**3 - 8*x**2 - 8*x - 8. Determine f(h).
-1
Let f(b) = b**2 + 4*b - 3. Let z be -8 + 11 - (0 - -28). Let p = z - -50. Suppose 0 = -4*c + 9*c + p. Calculate f(c).
2
Let j(k) = k**3 - 10*k**2 + 18*k - 17. Let z(d) = d**3 - 4*d**2 - 13*d - 48. Let y be z(7). Determine j(y).
-1
Let l be -4 + 1089/15 + 4/10. Let r = 62 - l. Let v(h) = -h**3 - 6*h**2 + 5*h - 10. Determine v(r).
4
Suppose -a + 0*a + 3 = 0, c = 4*a - 31. Let o = c + 24. Let p(z) = 2*z - 5. Give p(o).
5
Let n be 60/(-70) - 202/(-7). Let h be (0 + 24)/((-9)/(-12)). Let p = n - h. Let j(q) = -q**2 - 2*q + 5. What is j(p)?
-3
Let c be (-4558)/(-946) - 4/(-22). Let y(a) be the third derivative of 3*a**2 + 0*a - 1/8*a**4 - 5/6*a**3 - 1/15*a**5 + 0 + 1/120*a**6. Determine y(c).
5
Let s be (-274)/(-8) - 24/(-32). Let w(c) = 3*c + 29 + 0*c - s. Let m be 10/3*12/10. What is w(m)?
6
Let m(v) = v. Let n(x) = 2*x - 1. Suppose -u + 0*u - 3*l = -6, 0 = u - 5*l + 2. Let z(q) = u*n(q) - 5*m(q). What is z(3)?
0
Let l be (0 + 16)/(3 + -2). Let o = 21 - l. Let f(r) = -r + 7. Calculate f(o).
2
Let g(n) = n**3 - 7*n**2 + 7*n - 6. Let f = 4 - 1. Suppose -2*p - i - 15 = -5*p, -3*i = -2*p + f. What is g(p)?
0
Let s(g) be the third derivative of g**5/10 - g**4/8 - g**3/3 + 34*g**2. What is s(3)?
43
Let v = 19 + -15. Suppose -24 = -2*m + v*w, 0 = 5*m + 6*w - 2*w - 18. Let j(a) = -2*a**2 + 5*a**2 - 1 - m*a**3 - a**3 - 2*a - 4*a**2. Calculate j(-1).
7
Let o(n) = n - 4. Let a(k) = k - 17. Let t(w) = a(w) - 3*o(w). Determine t(-3).
1
Let c(z) = z. Let h be c(3). Let g(d) = -7 - d - 6 + h*d - d. Determine g(11).
-2
Let z(j) = 3*j**2 + 0*j + 3*j - 2*j. Let v = 39 + -27. Let q = v + -11. Calculate z(q).
4
Let r = 24 - 22. Let d(u) = -2 + 2*u - r + 3. Give d(-2).
-5
Let b(y) be the first derivative of -y**3/3 + 4*y**2 + 2*y - 415. Give b(5).
17
Let r(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 + 3*q**2 + 216*q + 2. Calculate r(-5).
11
Let s be 16/6 - 8/(-24). Suppose s*w = -2*d + 5*d, 4 = -d - 3*w. Let o(a) = -3*a**3 + a**2. Calculate o(d).
4
Let o(r) = 53*r**3 + 1 - 34*r**3 - 3*r**2 - 20*r**3. Calculate o(-2).
-3
Let m(y) be the third derivative of -y**6/360 + y**5/40 + y**4/8 - y**3/2 - 5*y**2. Let b(c) be the first derivative of m(c). Give b(4).
-1
Let x(u) = -u**2 - 6*u - 7. Suppose c - 77 = -3*m + m, -4*m + 160 = 4*c. Let y be m/(-7) - 1*2/(-7). Calculate x(y).
-2
Let z(s) = -7*s**2 + 23*s + 13. Let g(r) = -4*r**2 + 14*r + 7. Let b(p) = 5*g(p) - 3*z(p). Calculate b(3).
8
Let x = 9 - 5. Let q(s) = 7*s**2 - 12*s + 3. Let t(b) = -2*b + 1 + 0*b + 0*b + 4*b**2 - 4*b. Let o(u) = -3*q(u) + 5*t(u). What is o(x)?
4
Let y(x) be the first derivative of -x**3/3 - 4*x**2 + x + 10. Let k(q) = -q**2 - q. Let l(p) = -4*k(p) + y(p). What is l(3)?
16
Let p(q) = -q**3 - 3*q**2 + q + 7. Let d(a) = 5*a**3 + 15*a**2 - 4*a - 36. Let r(g) = 2*d(g) + 11*p(g). What is r(-4)?
9
Let n(q) be the first derivative of -q**2/2 - 7*q + 12. Let g(x) = 4*x**2 + 5*x + 3. Let a be g(-3). Suppose 0 = 2*h - 6*h + a. Calculate n(h).
-13
Suppose -2*d = 18 - 28. Let s(g) = -g**3 + 10*g**2 + 11*g - 10. Let p(q) = 2*q**3 - 21*q**2 - 23*q + 21. Let l(i) = -6*p(i) - 13*s(i). What is l(d)?
4
Let q(v) = -2*v - 4. Let g be -42*(0 - -7 - 817/114). What is q(g)?
-18
Let f(l) = 3 + 2*l + l - 4*l + 2. Suppose -8 + 0 = -2*r. Suppose -2*d + 3*n + 4 - 16 = 0, -r*d - 2*n = -8. Determine f(d).
5
Let w(u) = -u**3 - 14*u**2 - 38*u - 48. Let s be w(-11). Let a(x) = -2*x**2 + 5*x - 8. Let j(q) = q**2 + q + 1. Let c(b) = -a(b) - j(b). Calculate c(s).
14
Let u(z) be the third derivative of z**5/60 - z**4/3 + 3*z**3/2 - 6*z**2 - 3*z. Suppose 4*m - 4*d = -2 + 34, 2*d = -3*m + 24. What is u(m)?
9
Let w(x) = -x**3 + 3*x* | {
"pile_set_name": "DM Mathematics"
} |
4*q - 3*n. Which is bigger: h or q?
h
Suppose 0 = 9*o - 1959 + 1968. Does o = 2/4567?
False
Suppose 0 = 8*s + 5*s - 7*s. Let y be 0*(-1 + 3/2). Let v = y + s. Is v smaller than 2/3?
True
Let q = 0.434 + 0.166. Which is bigger: 20 or q?
20
Let o(s) = -6*s + 66. Let q be o(8). Is q not equal to 15?
True
Let y = 7039/5 - 1407. Is -202 at most y?
True
Suppose 0 = 2*w + 2*w - 100. Let q be 76/(-80) - (-5)/w. Let y = -5/4 - q. Is y less than or equal to 1.4?
True
Let j = 430 + -25368/59. Let h = -2 + 2. Does h = j?
False
Let t = 26.001 - 0.001. Let m = 25.7 - t. Are m and -3 equal?
False
Let v = 735 - 891. Which is bigger: -164 or v?
v
Let b = 0.1937 + -0.0937. Which is greater: b or -3?
b
Let m be (-10 - (-90)/10) + (-6)/(-8). Which is greater: -145 or m?
m
Let o be ((-163)/249)/(-2 + 1). Let b be -17 + 19 - 2/166*167. Let t = o - b. Are t and 2 equal?
False
Let d = -75 - -78. Let z be (2/(d + -5))/(-1 + 2). Which is smaller: 1 or z?
z
Let u be 40/100*(8 - 3). Is 30/13 greater than or equal to u?
True
Let s = -17 - -5. Suppose -8 = 2*f - f - 2*l, -3*l - 43 = 4*f. Which is greater: f or s?
f
Let x be (-2)/(-4) + 136/16. Suppose -3*d + 13 = -v - x, 1 = -3*v - 4*d. Which is smaller: v or -1?
v
Let a be 4/(8 - 636/81). Is a < 24?
False
Suppose 0 = 7*u - 25 + 4. Suppose 21 = 5*a - 2*a. Let l = 12 - a. Which is greater: u or l?
l
Let g = -5179/4 - -1317. Let m = 79/4 - g. Are -4 and m equal?
False
Let l = -32 - -18. Let z = l - -20. Suppose 0 = 3*h - 4*a - 14, -z*a + 2*a - 30 = 5*h. Which is smaller: -7/3 or h?
-7/3
Suppose -9*u = 5*u + 700. Let d be (-2)/5*1*u/(-35). Is d >= -1?
True
Let q(l) = 16*l - 26. Let t(b) = -3*b + 5. Let g(o) = -2*q(o) - 11*t(o). Let w be g(6). Suppose w*x - x - 18 = 0. Which is smaller: 10 or x?
x
Let h be (10 + -9)*(-140 - -3). Which is bigger: -136 or h?
-136
Let p be 3/4*(-16)/(-3). Let k be 8/(-12) - (-16)/6. Suppose -3*d - 16 = -k*z - 3*z, 3*d = 3*z - 6. Is z less than p?
False
Let z = -125 - -125. Let k be (1/27)/(10/6). Is k less than z?
False
Let q = -21.5 - -14.5. Let j be (1 - 2)*(-28)/182. Is j greater than or equal to q?
True
Let o = 2169/3808 - -1/544. Let n(r) = -r**3 - 3*r**2 - r. Let t be n(-2). Let a(p) = -2*p - 2. Let j be a(t). Which is bigger: o or j?
j
Let j be (-4 + 10)/(-3) - -4. Let l be j*812/(-240)*2. Let i = -40/3 - l. Do i and -0.6 have the same value?
False
Let r be 6*(-1 - 3/(-2)). Suppose -r*w + 15 + 12 = 0. Suppose -7*q = -i - 2*q + 15, -3*q = -3*i + w. Do -2/11 and i have different values?
True
Let j = -42 + 32. Let q be (4/(-185))/((-4)/j). Which is smaller: q or 0?
q
Let k be (-90)/20 - (-1)/2. Is k bigger than 11?
False
Let h = -33.518 + 0.518. Is h at least 28?
False
Suppose 40 = 3726*h - 3734*h. Which is smaller: h or -8?
-8
Let f be (4 - 40)/((-3)/8). Let v be ((-4)/f)/((-5)/((-90)/4)). Which is smaller: v or 0?
v
Let u(v) = v. Let j(w) be the third derivative of w**4/6 + 17*w**3/6 - 13*w**2. Let p(o) = -j(o) + 5*u(o). Let k be p(14). Which is smaller: -15/7 or k?
k
Let i = 3507573766/3245 - 5404583/5. Let k = i - -1/295. Is k less than or equal to 1/2?
True
Let z(g) = g**3 - 11*g**2 - 24*g + 39. Let k be z(14). Which is smaller: k or 292?
k
Let q(x) = 22*x + 154. Let d be q(-7). Let v = 200 - 5603/28. Which is smaller: d or v?
v
Suppose -u + m + 0*m + 11 = 0, -3*m + 12 = 0. Is u at most as big as 15?
True
Let r = -26 + 31. Suppose 0*s + 65 = -r*s. Which is smaller: -12 or s?
s
Let j be -6 + (-2 - 0) - -6. Suppose 4*m + 2 = -3*k, -3*m - 9 = 5*k - 2. Which is smaller: m or j?
j
Let p = 52 + -48. Let f be 58/(-136) + (-2)/(-4 - p). Which is bigger: f or 1?
1
Let x(h) = -73*h - 510. Let z be x(-7). Let t be (-2)/(-6) - 22/(-6). Suppose 8 = 4*j - 4, t*j = g + 26. Is z greater than g?
True
Suppose 4*l - a + 1 = 17, -l - 5*a - 17 = 0. Let j(n) = -6*n**2 - 3 - n**3 + 0*n**3 - 3*n**2 - l. Let g be j(-9). Does -6 = g?
True
Let g be -3*(4/10 + 102/45). Let a be ((-7)/4)/(g/(-32)). Is -7 smaller than a?
False
Let l(n) = -n**2 - 2*n - 6. Let h be l(-6). Let q be h/(-225)*2/(-4). Suppose 0 = -3*i + 4*g + 20, -4*i - 8 - 2 = 2*g. Is i <= q?
False
Let w be 4/(-12) - (-4)/3. Let f be -1 + (0 - (w + 0)). Let c be f*1/3*-12. Is 8 at most c?
True
Let n be (-12)/48 - (-118)/(-8). Let u = n - -14. Which is smaller: u or 1/4?
u
Let p be 2/7 - (-5 - (-51)/7). Suppose 0 = -i + 2 + 1. Let q be i/p*(-48)/198. Is -1 at most as big as q?
True
Let r be (-3)/(-24)*(1 + 55)/7. Is r greater than or equal to -5/31?
True
Suppose -5*r - 26 - 54 = 0. Let i = r - -14. Do i and -3 have the same value?
False
Let k = -1193 - -1193. Is k at least as big as -24/19?
True
Let h = 776 + -753. Is h less than or equal to -1/5?
False
Suppose -24*w = -25*w + 16. Is w != 19?
True
Suppose 4*r + 324 = 10*r. Is 54 smaller than r?
False
Suppose 21*h = -2*q + 23*h + 20, 24 = 4*q + 4*h. Is q equal to -2?
False
Suppose -a + 2*v - 10 = -2*v, 3*a - 3*v + 21 = 0. Let d be (-64)/a - 6/(-18). Suppose -3 = -8*r + d*r. Which is greater: r or -1/9?
-1/9
Let a = -1/549 + 65/2196. Let r = a - -2/9. Which is smaller: r or -3/13?
-3/13
Let g = 372 + -719/2. Let x be (-5 + (-210)/(-18) + -6)/(20/390). Which is smaller: g or x?
g
Let v = 323.3 + -323. Is 38 < v?
False
Let n be (-9)/2*12/9. Let y be (330/(-1155))/(4/98). Is n equal to y?
False
Let t = 167/10 + -33/2. Suppose 4*k = -k + 20. Suppose -2*c + 2*q = -0*q - 2, 4*c + 4*q = -k. Is c < t?
True
Let s = -35 - -14. Let l = s - -20.69. Let a = -0.01 - l. Which is smaller: a or 6?
a
Let l = -7981/7410 + 11/285. Is l at most as big as -1?
True
Let p = -23927/33 + 725. Suppose 5*a + 4*a = -27. Let u = a + 5. Which is smaller: p or u?
p
Let w = -39 - -42. Let r be (5/(-25)*-1)/(1/w). Which is smaller: r or -0.3?
-0.3
Let f be ((-12)/(-5))/6 - (-3777)/(-5). Is f not equal to -1?
True
Let a = -76 + 21. Let c be 4/a*10/(-36). Which is smaller: 1 or c?
c
Let w(b) = -b**3 - 76*b**2 + 79*b + 155. Let z be w(-77). Let o be 1/(-4) - 3112/35. Let m = -357/4 - o. Which is greater: m or z?
z
Suppose 0 = 3*u + 2*f - 15 - 16, 3*u - 36 = -3*f. Suppose 31*y - 319 = -71. Which is smaller: u or y?
u
Let r(c) = -7*c**3 + c. Let o be r(2). Let i = o + 29. Is -24 greater than or equal to i?
True
Let d = 35 - 176/5. Let u = 3/5 - d. Suppose w = -2*w. Which is bigger: u or w?
u
Let i(g) = g**3 - 5*g**2 + 2*g - 2. Let r be i(5). Suppose -3*v + 2*l = 85, -v - r - 15 = 2*l. Let j = -26 - v. Are 2/27 and j unequal?
True
Let d = 0.064 + -0.064. Which is greater: -3.5 or d?
d
Suppose 29*k - 32*k = -9. Let b be (-12)/9 + k - (-2 - -4). Which is smaller: b or 13?
b
Let y = 117.92 + -120. Let o = y + 2. Let f = 0.98 - -0.02. Which is greater: o or f?
f
Let a = 3 + -2. Let h = 497 - 4465/9. Is a > h?
True
Let z be -2 + -123*(-6)/(-9). Let o be 4 - z/(-18) - (-4)/6. Is o at least as big as 4/15?
False
Let c = -559 + 14537/26. Let l = -2 - -3. Which is bigger: c or l?
l
Let u be 376/(-126) + 1 + 2. Let t = -43/63 + u. Is -0.4 at least t?
True
Let o = -246 + 252. Is 27/4 >= o?
True
Let l(f) = 0*f**2 - 29*f + 24 + 24*f - f**2. Let b be l(-8). Which is smaller: 1/35 or b?
b
Suppose 5*d - b - 28 = 0, -2*d - 2*d + 17 = b. Suppose 2*o = 4*v - 0*o + 68, d*v + 5*o + 70 = 0. Is -15 at least v?
True
Let n = 94 + -62. Let v = n + -38. Let d be (6/(-9))/(32/v). Is 0 != d?
True
Let z = -12.4 - -12. Let j = -17.14 + 17. Let y = 0.04 + j. Which is smaller: z or y?
z
Let q(g) = -g + 24. Let i(k) = -k**2 - 7*k. Let h be i(-3). Let n be q(h). Which is smaller: 10 or n?
10
Let h = 514 + -514.807. Let b = 0.137 + h. Are b and -1 equal?
False
Let m(s) = 5*s - 50. Suppose h = j + 9, -7 = -3*h - 2*j - 5. Let b(a) = -a + 10. Let f(v) = h*m(v) + 22*b(v). Let d be f(10). Is 1/3 <= d?
False
Let l be (-832)/48*(-3)/158. Which is bigger: 0 or l?
l
Let u = 1.7 + 0. Let x = 212.9 - 222. Let v = -9 - x. Which is bigger: u or v?
u
Suppose 0 = -m - 4, 23*f - 5*m = 22*f + 21. Is f at most 2?
True
Let b = 169 - 151.3. Let y = -5.7 + b. Which is greater: -0.2 or y?
y
Let k be -1*(0 - (2 - 2)). Suppose -642 = -3*i - a - 0*a, i - 214 = -5*a. Let l = i + -10056/47. Are k and l equal?
False
Let j(x) = -7*x + 3. Let a be j(-1). Let z be a/25 - (-6)/(-15). Suppose -2*v - 8 = -i, i - 3*v = -z*i + 12. Do i and 0.02 have different values?
True
Let g = -175.5 + 176. Is 21 < g?
False
Le | {
"pile_set_name": "DM Mathematics"
} |
t**3 + 2*t + 2*t**3 + t + 1 as k*t + n*t**2 + v*t**3 + f and give v.
-4
Rearrange (182*r - 182*r - 17*r**3 + 2)*(0*r + r + r) to o*r**4 + f*r + p*r**3 + u + q*r**2 and give f.
4
Express 101 - 103 + 2*i - 2*i**2 + 4*i**2 as c*i + v + t*i**2 and give c.
2
Rearrange (r**3 + 0*r + 0*r)*(r + 2*r - 5*r)*(0 + 0 + 8) to the form q*r**2 + h*r**3 + y*r + z*r**4 + m and give z.
-16
Express (-5*k + 8 - 8)*(3 + 1 + 2 + (-3 + 0 - 1)*(2 + 1 - 2))*(1 - 4 + 1) in the form t + g*k and give g.
20
Rearrange -2*f**3 + 0*f**2 + 0*f**2 + (-4*f + 3*f + 2*f)*(0*f**2 + 0*f**2 - f**2) - 5*f**3 + 0*f**3 + f**3 to the form l*f**2 + z*f + w + x*f**3 and give x.
-7
Express 4 - b**2 - 6 + 1 - 22*b + 0*b**2 in the form y + i*b**2 + l*b and give i.
-1
Rearrange -2*r - 14*r - 4*r - 2*r to d + f*r and give f.
-22
Rearrange m + 0*m - 3*m + (-3 - 3 + 4)*(-6*m + 3*m + m) - 2*m + 11*m - m - 2 + 2 - m to the form f + b*m and give b.
9
Express 3*g**2 + 3 - 6 + 3 - 2*g + 5 as c*g + f + q*g**2 and give q.
3
Express 117 - 30*b - 117 as x*b + h and give x.
-30
Express -2*m**4 + 3*m**4 - 3*m**4 + (2 - 2 + 2*m)*(2 - 1 - 5)*(m - 2*m**3 - m) as x*m**2 + j*m**4 + p*m + f*m**3 + g and give j.
14
Express -10*j - 2 - 1 + 3 in the form g + t*j and give t.
-10
Rearrange 11*o**2 + 31 - 31 to the form m*o + u + v*o**2 and give v.
11
Express (0 - 1 + 2 + (-2 - 2 + 6)*(-3 + 1 + 0))*(10*c + 5 - 5)*(0 + 1 - 3)*(-5 + 11 - 11) in the form p*c + n and give p.
-300
Express (0*l**2 + l**2 + 0*l**2)*(11*l + 4 - 2 + 6*l) as o*l**2 + b + q*l + j*l**3 and give j.
17
Express -17*m - 7*m - 33*m - 16*m in the form f + j*m and give j.
-73
Express (-3 + 0 + 1)*(o**2 - 7*o**2 + 2*o**2) + 0*o**2 + 5*o**2 - o**2 + (0 + o + 0)*(-1 + 1 - 2*o) in the form a + x*o + i*o**2 and give i.
10
Rearrange -6*i + 19*i + 5*i + i**2 to the form d*i**2 + c*i + a and give c.
18
Rearrange (-3*k - 2*k + k)*(0*k + k + 2*k)*(-1 - 2*k**2 + 1) to n*k**2 + u + l*k**4 + w*k + g*k**3 and give l.
24
Rearrange -3*q**2 - 1 - 4*q**4 + 5*q**4 - 2*q + 8*q**2 to y*q**2 + m + w*q + s*q**3 + h*q**4 and give w.
-2
Express (9 + 17*r**2 - 9)*(-3*r + 3*r - 2*r**2) + r**4 + 4*r**4 - 3*r**4 in the form o*r**4 + f + i*r**2 + m*r**3 + k*r and give o.
-32
Rearrange 2 - 18*q + 1 + 4 - 5 to the form x + m*q and give x.
2
Express 0*b - 3*b**2 - b + 0*b + 2*b**2 as m + x*b + w*b**2 and give x.
-1
Express (-3*q + 4*q - 7*q)*(1 + 2*q - 1) + (-2*q - 5*q + 4*q)*(-4 + 4 - 2*q) + 4*q**2 - 2*q**2 - 3*q**2 as g + j*q**2 + o*q and give j.
-7
Express 7*t - 5 + 16 - 4*t + (-3 - 1 + 5)*(-2*t + 0*t - 4*t) in the form r*t + x and give x.
11
Express -4*a**2 + a**3 - 2*a**2 + 2*a**2 + 2 as s*a**2 + x*a**3 + b*a + p and give x.
1
Express 885 - 925 + b - 3*b in the form v*b + d and give d.
-40
Express 0 + 2 + z - 1 + 2 in the form n + s*z and give n.
3
Rearrange 4*i**2 - 4*i**2 + i**2 + (-2*i + 3 - 3)*(2*i - i + 0*i) + (-2*i + 25*i - 4*i)*(0*i - 2*i + 3*i) to z*i + y*i**2 + b and give y.
18
Express (0 + o + 0)*(-16*o + 48*o + 25*o + 2*o + 2*o - 6*o + (-4*o - 3*o + 5*o)*(4 + 1 - 3)) in the form y + k*o**2 + m*o and give k.
51
Rearrange (-r + 3*r - 4*r)*(2 + 1 + 4 - 2 - 2 + 2 + (3 + 2 - 4)*(2 - 3 + 0) + 4 - 3 + 0) to the form g + l*r and give l.
-10
Express 286 + 2*z + 289 - 573 + 2*z**2 - 2*z**3 as h + a*z**2 + b*z + o*z**3 and give a.
2
Express (4 - 4 + 1)*(-1 + 0 + 0)*(-2*w + 3*w - 9*w) + 3*w - 3*w - w as c*w + q and give c.
7
Express 4*l + 2*l**3 + 21 - 2*l**2 - 42 + 21 - l**4 in the form p*l**2 + h*l + u*l**4 + c*l**3 + i and give i.
0
Express (-w**2 + w**2 - 9*w**4)*(-2 + 5 - 2 + (-3 + 5 - 4)*(-1 + 1 - 2) - 5 + 2 + 5) in the form y + n*w**3 + o*w**4 + r*w**2 + p*w and give o.
-63
Express -3 - 47 - 7*n**2 + n**2 + 4*n**2 as z + r*n + w*n**2 and give z.
-50
Rearrange 7*f**2 + 2*f**2 + 6*f**2 - 2 to q*f + s + y*f**2 and give y.
15
Rearrange (-2 + 4 - 1)*(3*a + 4*a**3 + 3*a**2 - 3*a**3 + a) to the form k + m*a**3 + s*a + h*a**2 and give m.
1
Express (-3*p - 5*p + 2*p)*((-1 + 3 + 0)*(0 - 1 + 3) + 1 + 3 - 5 + 2 - 3 + 0 + 0 - 1 - 3) in the form u*p + g and give u.
12
Rearrange 6*b**2 - 12*b - 25*b**2 + 8*b**2 + 10*b**2 to r + s*b + n*b**2 and give n.
-1
Express 19*y + 4*y + 2*y - 8*y in the form q*y + g and give q.
17
Express (-1 + 2 + 0)*(3*y + 0 + 0)*(-7 + 4 - 9) in the form l*y + g and give l.
-36
Express 26*r**2 - 7*r**3 - 13*r**2 - 11*r**2 - 5*r**3 as z*r + o*r**3 + d + f*r**2 and give o.
-12
Express (3 - 9 - 3)*(-7*x + 1 - 5*x + 26*x) in the form r + f*x and give f.
-126
Express 35 + 4*l - 35 - 2*l - 32*l**2 in the form y + b*l + g*l**2 and give b.
2
Rearrange (-2 + 5 - 1)*(-32*u**2 - 485 + 485)*(u + 0 + 0) to j*u**3 + g + k*u**2 + r*u and give j.
-64
Rearrange (3*d + d**3 - 3*d)*(-11 + 13 + 33) to the form q*d**3 + b*d**2 + j*d + y and give y.
0
Express -57*i - 48*i + 75*i in the form d + b*i and give b.
-30
Express (0*v - 5*v + 2*v)*(5*v + 10*v + 7 - 5) as d*v**2 + n + w*v and give d.
-45
Express (-5*s**2 + 2*s**2 + 4*s**2)*(-7 + 6*s - 3*s - s) in the form m + a*s**2 + x*s**3 + d*s and give x.
2
Rearrange 103 + 3*b - 102 + 3*b**2 + 0*b**2 to u*b + l*b**2 + k and give k.
1
Express m**3 - 4 + 2 + m**3 + 1 - 17*m as a*m**2 + x*m + v + w*m**3 and give v.
-1
Express (3*i - 3*i - 3*i)*(-1 + 0 + 0) - 2*i + 4*i - i as r + g*i and give g.
4
Express 12*n**3 + 1 + n**3 + 176*n**2 - 176*n**2 in the form j*n**3 + g + q*n + w*n**2 and give j.
13
Express (3 - 2 - 3)*(19 - 19 + 7*d) + (-1 + 3*d + 1)*(-2 + 4 + 0) as n*d + y and give n.
-8
Express (0 + 3 - 1)*(-3*m - 14*m + 3*m)*(m + 2*m - 2*m - 1) as s + o*m**2 + x*m and give x.
28
Express -3 + 16*x**2 + 4*x**2 + 3 as i*x + y*x**2 + m and give y.
20
Express -1 + k - 5*k + 1 as x*k + i and give x.
-4
Rearrange -5*x + 3*x - 1 - 2*x**2 + 2*x to y + u*x**2 + b*x and give y.
-1
Express 162*w - 162*w + 5*w**2 + 1 + 0*w**3 + 2*w**3 as y*w + c*w**3 + s + t*w**2 and give t.
5
Express -23*s - 43*s - s + 4*s in the form p + z*s and give p.
0
Rearrange (14 - 14 - 8*g)*(63*g - 63*g - 37*g**2) to the form q*g**2 + k*g**3 + c*g + b and give k.
296
Rearrange -k - 1 - 2 + 8 + 2*k + 4*k - 5*k + (-3 + 0 + 1)*(-2 + 2 + k) to i*k + p and give p.
5
Express -116 - 2*j + 116 + 6*j**2 - 4*j**3 in the form x*j**2 + d + v*j**3 + l*j and give x.
6
Express -4*a - 9 + 8 + 5*a + (-2 - a + 2)*(0 + 2 - 3) as i*a + y and give i.
2
Express 15*x + 3*x**2 + 1 - 15*x + 3*x**3 in the form i*x**3 + d + r*x**2 + j*x and give r.
3
Express 20*b**3 - 2*b**2 - 7*b**3 - 11*b**3 - 7*b**3 - 3 - b as r*b**3 + y*b**2 + m + c*b and give c.
-1
Rearrange (-1 - 3 + 3)*(-348*o + 460*o - 220*o)*(o**2 + o**2 + 3*o - o) to w + c*o**3 + x*o**2 + t*o and give c.
216
Rearrange 4*c**2 + 5*c**2 + 2*c**2 + c**2 to r*c**2 + j*c + i and give r.
12
Rearrange -12 + 12 + 3*k**3 - 3 + 2 to the form s*k**2 + u*k**3 + a*k + g and give s.
0
Express c**2 + 322 + c**3 - 325 - c**2 as b + w*c + o*c**3 + v*c**2 and give o.
1
Rearrange ((-2 + 3 - 3)*(2*s + 5*s - 2*s) + 2*s + 5*s + 0*s)*(-2*s**2 + 1 - 1)*(-1 + 1 + 2*s) to y*s**2 + p*s**3 + r + c*s**4 + d*s and give c.
12
Rearrange 6*d - 7*d - 10*d - 11*d to z + x*d and give x.
-22
Express (4 + 1 - 3)*(4*d - 5*d + 3*d) - 3*d + d + 13*d in the form c + q*d and give q.
15
Rearrange (4 - 9 - 3)*(2 - 1 + 2)*(-2 + 2 - 2*d) to h + a*d and give a.
48
Rearrange 1 + 0*u - 1 + 30*u to a*u + l and give a.
30
Rearrange -4*w - 18*w + 3*w - 7*w to o + s*w and give s.
-26
Rearrange (-3 + 8 + 0)*(-2*j - j + 5*j + (1 + 2 - 1)*(-2 + 2 + j) + 0*j + 0*j + j - j + j + 2*j + 3*j - 7*j + 2*j) to the form o + i*j and give i.
25
Express (-3*z + 13*z - 8*z)*(z + 3*z - 7*z) + 3*z**2 + 2*z**2 - 3*z**2 as k*z**2 + g + h*z and give k.
-4
Express (21*p + 5 - 5)*(4*p - 3*p + p + 3*p - 3*p - 2*p + (2 - 2*p - 2)*(5 - 3 - 1)) in the form a*p**2 + z + t*p and give a.
-42
Express -22*k + k + 11*k as b*k + r and give b.
-10
Rearrange 2*a**3 + 135*a - 9*a**2 + 2*a**4 - a**3 - 139*a to the form i*a**2 + q*a**4 + r + x*a + d*a**3 and give x.
-4
Express 2*m**3 - 2*m**3 + m**3 + (-2*m - m + m)*(4 - 4 - m**2)*(2 - 8 - 2) in the form b*m**3 + x + f*m**2 + t*m and give b.
-15
Rearrange -4*a**2 - a**2 + 2*a**2 + (-3 + 2*a + 3)*(-a + 3*a + 0*a) + a**2 - a**2 + 2*a**2 - a + a + 3*a**2 to the form j + b*a**2 + q*a and give q.
0
Express -3 + 1 + c + 2 in the form w*c + y and give y.
0
Rearrange 3*y**4 - 2*y**4 - 2*y**4 + | {
"pile_set_name": "DM Mathematics"
} |
59*i**2 + 137*i**2 + 3 - 1 - 342*i**2. What is n(y(x))?
8192*x**4 - 640*x**2 - 28
Let g(d) = -140*d - 135. Let z(p) = -2873*p. Determine z(g(t)).
402220*t + 387855
Let v(x) = 3*x. Let n = -1528 - -1530. Let y(p) be the first derivative of 1/2*p**n + 12 + 0*p. Determine y(v(a)).
3*a
Let t(a) = -a**2 - 17*a - 55. Let u be t(-12). Let h(g) = 5*g + 9*g + u*g - 8*g. Let p(l) = -l**2. What is p(h(b))?
-121*b**2
Let f(b) = 5*b. Let k(t) = 2039190*t**2 + 4038*t - 2019. Let h(m) = -2021*m**2 - 4*m + 2. Let r(g) = 2019*h(g) + 2*k(g). Calculate r(f(i)).
-50475*i**2
Let t(n) = -21874*n**2 - 845*n. Let p(s) = 6*s**2. What is t(p(x))?
-787464*x**4 - 5070*x**2
Let i(n) = -20*n. Let s(k) = 3*k**2 - 21*k + 26. Let j be s(7). Let z(a) = j*a - 16*a - 15*a. Calculate i(z(o)).
100*o
Let u(a) = 6*a. Let v(x) = -48*x**2 + 9*x - 9. Let q(j) = j - 1. Let y(p) = -45*q(p) + 5*v(p). Give y(u(w)).
-8640*w**2
Let n(z) = z + 3. Let p(s) = -3*s - 8. Let i(b) = -b**3 + 13*b - 9. Let m be i(3). Let h(f) = m*p(f) + 8*n(f). Let t(r) = -32*r - 3. What is t(h(g))?
32*g - 3
Let m(b) = -94*b. Let o = 47622 + 83. Let f(h) = o - 3*h - 47705. Determine f(m(r)).
282*r
Let j(q) = -4*q. Suppose 5*h = v + 390, -20 = -h + v + 54. Let c = h + -75. Let y(p) = 8*p**2 + c*p**2 + 2*p**2 + 4*p**2. What is y(j(i))?
288*i**2
Let i(h) = h - 8325. Let g(t) = -10496*t. Determine g(i(c)).
-10496*c + 87379200
Let h(r) be the first derivative of 1/12*r**4 - 3*r**2 - 14 + 0*r + 0*r**3. Let i(z) be the second derivative of h(z). Let u(q) = 17*q**2. Determine i(u(l)).
34*l**2
Let r(f) = -f + 2. Let l(s) = 3418391*s**2. Determine r(l(u)).
-3418391*u**2 + 2
Let d(q) = -2*q**2 - 15*q + 12462. Let o(t) = 16*t**2. Give d(o(n)).
-512*n**4 - 240*n**2 + 12462
Let n(x) = -22*x**2. Let u(k) = -97723*k - 3. Calculate u(n(h)).
2149906*h**2 - 3
Let o(b) = 382*b. Let s(j) = -5*j - 8*j + 1233 + 1240 - 2473. What is s(o(p))?
-4966*p
Let g(v) = 2*v. Let d(p) = 3*p + 70. Let i(x) be the second derivative of x**3/3 + 35*x**2/2 + 67*x. Let w(z) = 3*d(z) - 5*i(z). What is w(g(b))?
-2*b + 35
Suppose 0 = -2*o + s + 2, -4*o = -4*s + 78 - 86. Let u(p) be the third derivative of 0 + 0*p**3 + 1/8*p**4 - 38*p**2 + o*p. Let b(a) = 3*a. Calculate b(u(l)).
9*l
Let w(o) = -22092529*o. Let u(t) = -2*t. Calculate u(w(d)).
44185058*d
Let z(s) = -27346469 - 3*s + 27346469. Let b(y) be the first derivative of -13*y**3/3 - 2. Determine z(b(h)).
39*h**2
Let u(q) = 4378027*q. Let h(m) = -5*m**2. What is u(h(w))?
-21890135*w**2
Let i(s) = -16*s - 20*s + 64*s - 26*s. Let g(f) = 23*f - 5. Let l(m) = 45*m - 9. Let d(z) = 9*g(z) - 5*l(z). What is d(i(j))?
-36*j
Let z(y) = 8*y + 1. Let l(r) = -405*r - 54. Let o(c) = l(c) + 54*z(c). Let v(k) = -2*k + 3*k - 2*k. Determine o(v(i)).
-27*i
Let j(w) = 63*w**2. Let r(z) = -4*z**2 - 178*z + 10. Let q(x) = x**2 + 55*x - 3. Let s(a) = 10*q(a) + 3*r(a). What is s(j(u))?
-7938*u**4 + 1008*u**2
Let x(w) be the third derivative of -w**5/15 - 4*w**2 - 2*w + 7. Let z(o) = 119*o**2. Determine z(x(a)).
1904*a**4
Let v(b) = 7*b**2. Let a = 360 - 364. Let y(w) = 50*w + 5. Let s(g) = 4*g + 1. Let u(x) = a*s(x) + y(x). Calculate u(v(m)).
238*m**2 + 1
Let m(o) = -15291811*o. Let a(c) = 3*c. Calculate m(a(v)).
-45875433*v
Let s(d) = 2*d. Let y(k) = -2*k**2 - 2114*k + 944. Calculate y(s(t)).
-8*t**2 - 4228*t + 944
Let d(k) = -4*k. Let u(r) = 3*r**2 - 210*r + 210. Let j be u(1). Let b(c) be the second derivative of -1/6*c**j + 0 + 0*c**2 + c. Determine b(d(h)).
4*h
Let i(q) = 19*q**2. Let p(a) = 168*a - 47923. What is p(i(k))?
3192*k**2 - 47923
Let u(m) = -27*m. Let q(j) be the second derivative of 0*j**2 + 0 + 119*j + 13/6*j**3. What is u(q(v))?
-351*v
Let j(p) = -2488949*p**2. Let n(i) = -3*i**2. Calculate j(n(z)).
-22400541*z**4
Let r(p) = p. Let c(m) = 109575*m - 920. Let w(a) = 8429*a - 69. Let j(l) = -3*c(l) + 40*w(l). Give j(r(d)).
8435*d
Let q(n) = 21*n - 67. Let s(u) = -24*u - 9*u - 30*u + 60*u. Give q(s(l)).
-63*l - 67
Let l(x) = -x**2 - x. Let s = 54 - -62. Let j(p) = 119*p - 236*p + s*p. What is l(j(b))?
-b**2 + b
Let f(c) = -c. Let k(a) = -6*a - 395. Let m(l) = -13*l - 649. Let q(w) = -7*k(w) + 4*m(w). Determine q(f(g)).
10*g + 169
Let j(k) = -281*k**2. Let c(q) = 7*q - 20. Let t(f) = -15*f + 44. Let a(u) = -11*c(u) - 5*t(u). Calculate j(a(d)).
-1124*d**2
Let y(q) = -47*q**2. Let u(z) = -13*z**2 - 2*z - 4. Let p(i) = 132*i**2 + 21*i + 42. Let l(s) = 2*p(s) + 21*u(s). Determine l(y(x)).
-19881*x**4
Let z(q) = -3*q. Let b(y) = 1516432*y. Calculate b(z(j)).
-4549296*j
Let n(f) = -f + 4. Let s be -25*(-5)/25 - 11. Let v(m) = 10*m - 28. Let r(b) = s*v(b) - 42*n(b). Let t(j) = -3*j. What is r(t(a))?
54*a
Let f(p) = -8*p - 1. Let a(t) = 14*t - 55*t + 39*t. What is a(f(d))?
16*d + 2
Let o(c) = -2*c. Let x(p) = -27*p**2 + 101. What is o(x(q))?
54*q**2 - 202
Let a(q) = -q**2. Let t = 74 + -86. Let u be 0 - (3 - 0)*8/t. Let w(h) = 7*h + 6*h - 15*h - 18*h**u. Give w(a(n)).
-18*n**4 + 2*n**2
Let f(b) = 6*b - 70. Let n(o) = 8758*o**2 + 2*o. Determine f(n(r)).
52548*r**2 + 12*r - 70
Let g(q) = 1604*q. Let x(b) = 107*b + 6. Let a(i) = 303*i + 17. Let c(u) = 6*a(u) - 17*x(u). What is g(c(p))?
-1604*p
Let g(x) = 124*x. Let y(z) = 14369*z + z**2 - 7184*z - 7185*z + 2*z**2. Give g(y(b)).
372*b**2
Suppose -3*j + 2*v - 4 = 0, 4*j - 4*v + 4 = -8. Let d(i) be the second derivative of -27*i - 2/3*i**3 + 3*i**j + 0. Let s(b) = -b. Determine d(s(k)).
4*k + 6
Let a(i) = i**2. Let z(u) = 670*u - 222*u - 191*u - 228*u. Give z(a(g)).
29*g**2
Let s(j) = -3*j**2. Suppose 6*t - 21 = 15. Let y(a) = -7*a**2 - 3*a + 3. Let f(i) = i**2 + i - 1. Let h(n) = t*f(n) + 2*y(n). Calculate h(s(r)).
-72*r**4
Let w(n) = n**2 - 49*n. Let k(v) = -7529*v. What is k(w(d))?
-7529*d**2 + 368921*d
Let q(h) = -2*h**2. Let a(j) = 8449*j**2 + 10266*j. Calculate a(q(b)).
33796*b**4 - 20532*b**2
Let l(u) = 17001975*u**2. Let f(z) = -6*z. Calculate f(l(k)).
-102011850*k**2
Let o(b) be the first derivative of 1/3*b**3 + 0*b + 0*b**2 - 8. Let r(y) = -11*y + 165. Let m(u) = 3. Let h(j) = -55*m(j) + r(j). Give o(h(w)).
121*w**2
Let d(h) = -30*h - 3. Let s(r) = -796*r**2 + 2*r + 3. Determine d(s(c)).
23880*c**2 - 60*c - 93
Let t(h) = 4*h + 5. Let s(w) = -4*w - 4. Let i(d) = -5*s(d) - 4*t(d). Let x(a) be the second derivative of -a**4/4 - 4523*a. Calculate i(x(f)).
-12*f**2
Let g(f) be the first derivative of -52*f**3/3 + 96*f + 7687. Let b(r) = 2*r. Give b(g(y)).
-104*y**2 + 192
Let l(r) = 8*r**2 + 49. Let u(o) = 588*o**2. What is l(u(t))?
2765952*t**4 + 49
Let l(i) = 30 - 15 - 15 - 8*i**2 - 3*i**2. Let n(b) = -2*b - 8. Let w(y) = 2*y - y + 3 + 0. Let u(s) = -3*n(s) - 8*w(s). Give l(u(q)).
-44*q**2
Let k(d) = 2*d**2 - 9*d + 109. Let p(q) = 216*q. Calculate p(k(t)).
432*t**2 - 1944*t + 23544
Let w(y) = 4*y**2 + 20. Let h(k) = -5*k**2 - 30. Let p(d) = 2*h(d) + 3*w(d). Let j(o) = -o**2 + 92*o. Calculate j(p(v)).
-4*v**4 + 184*v**2
Let w(l) = 36*l - 114 - 2*l**2 + 114 + 16*l - 33*l. Let m(n) = -5*n. Calculate m(w(r)).
10*r**2 - 95*r
Let n(p) = 430*p + 25360. Let t(c) = 3*c**2. Calculate n(t(f)).
1290*f**2 + 25360
Let z(w) = -34*w**2 - 17*w + 4*w + 7*w + 9*w + 108*w**2. Let s(k) = 12*k - 7*k - 6*k. Give s(z(h)).
-74*h**2 - 3*h
Let t(h) = 17*h**2. Let m be t(-1). Let n(g) = -9*g - m*g - 4*g + 3*g. Let l(o) be the third derivative of -o**4/24 - 3512*o**2. What is l(n(i))?
27*i
Let j(w) = -2*w + 66. Let a(v) = -28*v + 880. Let m(z) = -3*a(z) + 40*j(z). Let g(f) = 0*f**2 + f**2 + 6*f**2. Give g(m(t)).
112*t**2
Let o(w) = 808 - 2449 + 812 - 13*w + 814. Let d(k) = 41*k. Give d(o(u)).
-533*u - 615
Let s(y) be the second derivative of -667*y**4/12 + 22437*y. Let u(q) = q + 1. Let l(f) = -3*f - 2. Let i(h) = l(h) + 2*u(h). Calculate s(i(n)).
-667*n**2
Let h(r) = -1919*r. Let u(p) = -738*p - 25. Give u(h(t)).
1416222*t - 25
Let v(k) be the first derivative of -53*k**2/2 + 4. Let d(c) = 230*c + 6. Let b(t) = -75*t - 2. Let s(f) = -3*b(f) - d(f). Determine s(v(x)).
265*x
Let f(t) = -4*t**2. Let u(h) = -9010*h**2 + 4452*h + 636. Let z(i) = 99*i**2 - 49*i - 7. Let d(n) = -7*u(n) - 636*z(n). Calculate d(f(q)).
1696*q**4
Let z(y) = 6519945*y. Let f(r) = -4*r. Calculate z(f(i)).
-26079780*i
Let s(q) = -669*q - q**2 + 1344*q - 675*q + 2*q**2. Let u(h) = -113*h**2 - 16*h - 2. Give u(s(o)).
-113*o** | {
"pile_set_name": "DM Mathematics"
} |
*m + 2*n, 4*m - 3*n - 1102 = 0. Is m a composite number?
True
Let x be 11/(-3)*(-6)/1. Let g = 61 + x. Is g prime?
True
Let d = -15 - -23. Let k(p) = -p**3 + 8*p**2 + p - 6. Let m be k(d). Suppose q = m*b + 45, -b - 3*b = 16. Is q prime?
True
Let u be 2/(-6) + 1547/51. Suppose -3*x = 2*x - u. Is x a composite number?
True
Let s = -2591 - -4134. Is s a prime number?
True
Let s = 2 + 725. Is s a prime number?
True
Let h = 364 - 237. Is h a composite number?
False
Suppose -2*a - 1 = -5. Suppose -3*l - a*n = -4*n + 124, -2*l - 79 = -5*n. Is (1/3)/((-2)/l) a composite number?
False
Suppose 0 = 2*j + 2*p - 4712, -j - j + 2*p = -4716. Is j prime?
True
Let a(p) = 2*p**3 - 11*p**2 + 7*p - 11. Is a(10) composite?
True
Suppose 5*x + 18 = -7. Let i = -3 - x. Is (1/1)/(i/20) a prime number?
False
Suppose 0*n - 3*n = -699. Is n a prime number?
True
Suppose 2*l = -5*b + 505 + 90, -b = 2*l - 607. Let o = l + -138. Is o a prime number?
True
Let a(g) = 15*g**2 + 6*g + 5. Is a(-4) a prime number?
False
Suppose 3 = -3*m + 21. Let d(c) = -c**2 + 7*c + 4. Is d(m) composite?
True
Suppose 2*k + 10 = 4*f, 2*k - 4 = -6. Suppose -f*v + v = -2. Suppose 0 = v*z - 4 - 2. Is z prime?
True
Let b = 48 + -17. Is b prime?
True
Let z be (-2)/5*15/3. Is -2 + (z + 4 - -25) composite?
True
Is (0 - -158) + (-3 - -3) + 3 a prime number?
False
Let u(t) = t**2 - 4*t + 2. Let k be u(4). Let f be 0 + -101 - k/2. Let p = -25 - f. Is p composite?
True
Suppose 4*i - 66 = 26. Let c be -5 - (2 + 0)*-1. Is 6/(-9) - i/c a prime number?
True
Let t = -22 + 1089. Suppose 0 = 3*v - 0*v + 3, 4*s - 3*v = t. Let o = s + -177. Is o a composite number?
False
Let t = 83 + -150. Let f = 122 + t. Suppose -6*x + x = -f. Is x prime?
True
Let r be 30/8 - (-24)/(-32). Suppose -3*x + 4*x + 1121 = r*k, x = -2. Is k composite?
False
Let l(b) = -b**2 - 5*b - 1. Let d be l(-5). Let u(k) = 8*k**3 + 2*k + 1. Let c be u(d). Let j(w) = w**3 + 10*w**2 + 7*w + 5. Is j(c) a composite number?
False
Let x(k) = 4*k + 3. Is x(4) prime?
True
Let o(b) = b**2 + b + 119. Let d be o(0). Is d*(-1)/3*-3 a composite number?
True
Suppose -2*x + j + 8 = -4*x, 3*x - 4*j = -1. Is (-103 + 1)/x - -1 composite?
True
Is (-330)/(-4) + (-5)/(-10) prime?
True
Suppose 2*m = 5*s + 107, -4*s + 2*m - 89 = -3*m. Let d = 132 + s. Is d composite?
True
Suppose 2758 + 9849 = 7*p. Is p prime?
True
Let r(h) = h**2 - 11*h + 2. Suppose 0 = -g + 3*g - 24. Is r(g) a composite number?
True
Let f(w) = 5*w**2 - 3*w + 1. Let x be (14 + -2)/4 - 0. Is f(x) prime?
True
Is 2 + 1 + -1 + 209 a composite number?
False
Suppose 510 = -3*v - 111. Let d = v - -474. Is d prime?
False
Let b = 533 + -372. Is b composite?
True
Let v(h) = -14*h + 4. Let n(r) = -r - 11. Let j be n(-6). Is v(j) a prime number?
False
Let j(s) = -s + 7. Let y be j(6). Let p be (15/4)/(y/4). Suppose -2*z = -o + z + p, o = -z + 7. Is o composite?
True
Let r(c) = 9*c**2 - 5*c - 3. Suppose 0*y + a = y - 3, 4*a = y. Is r(y) a prime number?
False
Let n = 290 - 156. Is n composite?
True
Suppose -4 = -5*o - 9. Let q be ((-1)/3)/(o/18). Let g(f) = 3*f**2 + 3*f + 1. Is g(q) a prime number?
True
Let t be 292*(-4)/16*-2. Let r = t - 81. Is r prime?
False
Let x(h) = 28*h**2 + 2*h - 2. Let s be x(2). Let l = s - -112. Is l prime?
False
Is 4179/28 + 3/(-12) prime?
True
Let l(x) be the second derivative of -x**5/5 + x**4/4 - x**3/6 - 2*x**2 + 31*x. Let y = -6 + 3. Is l(y) composite?
True
Let b(h) = -h**3 - 4*h**2 - 5*h + 4. Let f be b(-6). Suppose -3*q + 2 = 8, -q = -2*a + 192. Suppose -3*x + f = -a. Is x composite?
False
Suppose -4 = 3*m - 10. Suppose 3*d = -m + 59. Is d a composite number?
False
Let r be 3560/30 - (-4)/(-6). Suppose 87 = 4*d - d. Let a = r - d. Is a composite?
False
Let y(d) = 7*d + 1. Let u be y(3). Let v = 33 - u. Is 585/11 - 2/v prime?
True
Let u(m) = 2*m**2 - 1 + 3*m + 0 - 3*m**2 + 3*m**3. Is u(4) a prime number?
False
Let j(n) be the second derivative of n**3/6 + 18*n**2 + 8*n. Is j(-15) a prime number?
False
Let i(b) = 11*b + 6. Let z(f) = f**3 + 8*f**2 - 2*f - 9. Let h be z(-8). Is i(h) composite?
False
Let g be 0 + (6/3 - -4). Suppose -4*d + 66 = -g. Suppose d = 5*u - 57. Is u composite?
True
Suppose 13 = 3*v - 0*v + 2*f, 14 = 2*v + 4*f. Let g be 12*(-1)/4*v. Is g*(0 - 9) + -2 composite?
False
Let v = -178 - -513. Suppose -3*b + v = -19. Is b a composite number?
True
Let h(j) = j**2 - j + 1. Let k(p) = 2*p**2 - 6*p - 12. Let b(n) = -h(n) + k(n). Let v be (6/(-8))/(11/(-132)). Is b(v) composite?
False
Let v(h) = -h**3 - 6*h**2 - 4*h + 4. Let j be v(-5). Let f(x) = -40*x + 1. Let u(m) = 81*m - 2. Let o(a) = 9*f(a) + 4*u(a). Is o(j) a composite number?
False
Suppose 5*l + 5*g = 20, -g = 4*l - 3 - 1. Suppose l = -w + 122 + 39. Is w composite?
True
Let f = 2 - -1. Suppose -8*y = -f*y - 10. Let j = y - -1. Is j a composite number?
False
Let y = 1 - -480. Is y a composite number?
True
Suppose 12 = 5*k + w, -k = 2*w + 3*w + 12. Suppose -3*s = 2*c - 17, -s - k = -2*s. Is (-1)/(-4) + 523/c a composite number?
False
Let i(j) = -j**3 + 7*j**2 - 3*j - 5. Suppose -3*y = -4*y + 6. Is i(y) a composite number?
False
Suppose 3*j - 515 = 112. Is j prime?
False
Is ((-1)/3)/((-3)/6759) composite?
False
Is 2/(-4) - (-766)/(-8)*-2 a prime number?
True
Suppose 189 = -0*k + k. Let o = -83 + k. Is o prime?
False
Is 1 + -2 + 140*1 a prime number?
True
Let h(k) = -4*k + 10 - 2*k + 3*k + 4*k. Let v be h(-10). Suppose -3*d + 100 = 5*m, d + 2*m + v*m = 33. Is d composite?
True
Let g(u) = -u**3 + 8*u**2 - 6*u - 10. Let j be g(7). Let o be (j/(-2))/((-1)/(-2)). Suppose 5*p = o*p + 38. Is p composite?
False
Suppose 4*v + 35 = -v. Let f(q) = -q**2 - 6*q + 10. Let a be f(v). Suppose -a*l + 7 = -2*l. Is l composite?
False
Let z be 141/27 + 4/(-18). Suppose z*q = -9 - 6. Is q/6 - (-117)/2 a prime number?
False
Let c(i) = -3*i**2 + 17*i + 5. Let p(l) = 2*l**2 - 16*l - 5. Let d(v) = 3*c(v) + 4*p(v). Is d(-10) a prime number?
False
Let a = -5 + 44. Is a a composite number?
True
Let d(m) = 5*m**2. Let t be d(1). Let j = t - 4. Suppose -2*q + j = -49. Is q a prime number?
False
Suppose 3*m = -0*m + 1611. Suppose 121 = 2*f - m. Is f a prime number?
False
Suppose 0 = -3*w + 3 - 18, 0 = -2*c - 4*w + 3782. Is c composite?
False
Let m = -13 + 19. Suppose -m*f + 3*f + 534 = 0. Is f a composite number?
True
Suppose 176 = 5*w - 4. Suppose o = -c - 23, c = 3*o - 2*o - 29. Let p = w + c. Is p prime?
False
Is (-2*68/8)/(3/(-15)) prime?
False
Suppose 3*a - 2973 = -0*a. Is a composite?
False
Let x(k) = 23*k**2. Let r be x(-4). Let n = r - 177. Is n a prime number?
True
Let o(q) = -14*q**2 + 2*q + 2. Let s be o(-2). Let v = -20 - s. Is v prime?
False
Suppose -3*o - 247 + 982 = 0. Suppose 27 = -2*b + o. Is b a prime number?
True
Let d = -92 + 213. Is d a prime number?
False
Let i(d) = 167*d**3 - 3*d**2 + 2*d - 2. Let k be i(2). Let p = k + -545. Is p composite?
True
Let g(h) = 5*h**3 - 2*h**2 + 2*h + 4. Let x = -3 - -4. Let d be (x + -4)/((-3)/3). Is g(d) a composite number?
False
Suppose 5*q = -4*t + 2901, -3*t = -0*q + 2*q - 1159. Is q a prime number?
False
Suppose 2*s - 3 = s + 5*f, f = -3. Is ((-8)/s)/((-4)/(-1110)) a composite number?
True
Let r = -4 + 4. Suppose 0*h - 2*h + 6 = r. Suppose 183 = h*q + 24. Is q a composite number?
False
Suppose 2*y - 4*p = 159 + 75, -y - p = -129. Let h = -6 + 6. Suppose y = 5*z - h*z. Is z composite?
True
Suppose 11 + 4 = 3*d, -3*f = -2*d - 761. Suppose -5*c = 2*q - f, -c + 4*c - 2*q = 167. Is c prime?
True
Suppose 4*p - 637 = 5*a, -7*a + 133 = p - 3*a. Suppose 0 = -j + p + 178. Is j a composite number?
False
Let h = 0 + -15. Let k be h/6 - (-6)/4. Is 57 + 2 + k + 1 a prime number?
True
Suppose 14 = 5*m - 61. Let a = m - 10. Suppose -a*v = 5*r - 2*v - 5, -5*v - 21 = r. Is r composite?
True
Suppose 6*k = k + 380. Suppose 2*h - k = -2*q - 0*h, 32 = q - h. Let z = -20 + q. Is z a prime number?
False
Let j(g) = 5*g**3 - g**2 - g + 1. Let y be j(1). Suppose -5*s + 1 = -y*s, 3*s = -2*m + 121. Is m composite?
False
Let o = -55 + 182. Is o a prime number?
True
Is ((-2201)/(-4) - -4)/(12/16) composite?
False
Suppose -3*x + 13 = -3*h - 5, -2*x + 15 = -5*h. Suppose 5*l - 41 = -0*l - 4*i, 3*l + x = 5*i. Suppose -l*t = -3*t - 46. Is t a composite number?
False
Let u(i) = i**3 + 5*i**2 + 3*i - 5. Let q be u(-4). Is | {
"pile_set_name": "DM Mathematics"
} |
- h = 6 for a.
-1
Let r be 2/7 - (-18)/(-14). Let f = 6 + r. Suppose -v = 5*t - 5*v - 21, -3*t + 17 = 2*v. Solve 2*i - 5*n = 0, 0 = -i + t*n - 0*n + f for i.
-5
Let x(h) = 46*h + 94. Let m be x(-2). Solve -2*i = w + m*w - 16, 0 = -5*i - w + 27 for i.
5
Let a = 479 - 476. Solve 10 = t + 3*s, a*s - 7*s + 17 = 5*t for t.
1
Let w = -2 + 6. Suppose 5*x - 27 = -4*o, -6 = 2*o - 8*x + w*x. Suppose 0 = -o*m - 2*m + 55. Solve -f - 3*f = -k + 8, -3*k - f + m = 0 for k.
4
Let g be (-11 + (-4 - -16))/(1/4). Solve 10 = 4*l + 4*b - 6, g = -3*l + b for l.
0
Let k(o) = 11*o - 2*o - 43 - 7*o. Let u be k(24). Solve 3*b = -0*b + a - 11, 0 = -2*b + u*a - 29 for b.
-2
Let x(d) = -d**3 + 31*d**2 - d + 57. Let p be x(31). Solve -l = 2*r + 4, r = -4*l + 10 - p for l.
-4
Suppose b - 4*b + 9 = 0. Solve -2*x = 4*o - 16, -b*x = 2*o - 5*o + 3 for x.
2
Suppose p + 60 = 4*p. Let o(h) be the first derivative of h**2 + 5*h - 3. Let r be o(0). Solve 5*m + 8 = 3*m - 4*c, -5*c + p = -r*m for m.
-4
Suppose 4*a = 4*n + 44, -12 = -5*a - 4*n + 52. Let q = -4 - -7. Solve q*s + a = 0, 2 = d - s - 0 for d.
-2
Let n be (-4)/6 + (-16)/(-24). Let t(h) = -h + 7. Let d be t(10). Let o be 6 + d - 0/1. Solve -o*f = -5*c - 7, 2*c - 5*f + 18 = -n*c for c.
1
Suppose -y = -3*q + 9, -4*y + 17 + 27 = 4*q. Solve 4*v = 4*g + 16, 4*v + y*g - 2*g = 0 for v.
2
Suppose -5*b + 0 = -15. Suppose -14 = -4*n - 3*v, 4*n + v = 8 + 10. Let y = -540 + 540. Solve b*d + 5*a = y, d = -2*d + n*a for d.
0
Let j(q) = -8*q**2 + 29*q - 15. Let z be j(3). Suppose 2*m - 1 - 3 = 0. Solve -1 - 3 = 2*r + 2*n, z = m*r + n + 3 for r.
-1
Suppose o = -4 - 9. Let b(z) = z**3 + 12*z**2 - 12*z + 19. Let w be b(o). Let g be ((-1)/(-2))/(1/10). Solve -g*i - 4*j - 21 = 0, 4 = -2*j + w*j for i.
-5
Let h(g) = -g - 9. Let y be h(-9). Suppose -s + 21 - 3 = y. Let x = -18 + s. Solve 0*d + 4 = -4*d, x = 2*f - d - 7 for f.
3
Suppose 0 = 7*f - 11*f - 28. Let i be (7/f)/(2 + 15/(-6)). Solve -h + 7 = 2*a, -i*a - 5*h + 23 = 4 for a.
2
Suppose 0 = -9*k + 4*k + 75. Let q be 32/(-20) - 6/k. Let c be (-14)/28 - q/4. Solve -5*o - 3*x + 5 = c, -7*x - 1 = -o - 3*x for o.
1
Suppose -11 = 3*t - 119. Suppose -t = -15*c + 9. Solve n - 5 = -0, -3*f = c*n - 15 for f.
0
Let m(r) = 3*r**2 - 5*r + 3. Suppose o - 3 = 4*i, -o = 5*i - 6*i - 3. Let z be m(o). Solve 0*b + z = -b - 2*a, 5 = -3*b + 2*a for b.
-5
Let i = -351 + 353. Solve v - 25 = -5*q, i*q = 2*v + 3*q - 5 for v.
0
Suppose x - 352 + 349 = 0. Let m = -16 - -16. Suppose -3*v + 0*v + 27 = m. Solve 2*o + o = -3*b - 9, -v = -b + x*o for b.
0
Suppose 2*k + 5*t + 2 = 4*t, -5*k - 4*t = 11. Solve k + 0 = -p, 5*f - 4*p = 29 for f.
5
Let b(p) = p**2 + 41*p + 269. Let g be b(-33). Suppose 0 = -2*t - 2, -4*n - t + 5*t = -4. Solve -3*i + g*u - 35 = n, 5*u = 3*i + 2*u + 27 for i.
-5
Suppose -3*h = p - 10, -4*p - 3 = 3*h + 2. Suppose h*a - 6 = 4. Let l be 1 + (-1)/(-1) + a. Solve 4*q + 4 = -l*f + 16, -2*q + f = 3 for q.
0
Suppose 145 = -q - 2*s, q + s + 143 = -0*s. Let g = -125 - q. Solve -3*b - 1 = 3*j - g, 0 = j - 1 for b.
4
Let l(y) = -4*y**2 + 26*y - 12. Let x be l(6). Solve s - b = -3*s, x = 5*b - 20 for s.
1
Let p = 321 - 318. Solve 5*h + 2*f = 22, -p*h + 9 = -0*h - 3*f for h.
4
Suppose 5*d - 5*k = 45, -2*k - 3*k + 11 = 2*d. Let s = -197 - -197. Suppose s = -f + 5*f - d. Solve 4*l - b = f*l + 1, 3*b + 9 = 3*l for l.
-2
Let v = 3 - -2. Suppose 6 = 3*u + 2*l, -4*u + 5*u + v = -3*l. Solve 3*a + u*h + 18 = a, -4*a - 16 = 3*h for a.
-1
Suppose -2*s + 8 = -4*c, 0 = 3*s + 2*c - 45 + 9. Solve g - 3*j = -4 - s, -20 = 5*g - 5*j for g.
1
Suppose -j + 5*v - 4 - 4 = 0, -3*j + v + 4 = 0. Solve -5*k = -4*r + 4, 1 = j*r - r + 4*k for r.
1
Suppose -13*q = -18*q + 35. Solve c - 3*m - q = 1, m = -1 for c.
5
Let o be 8 - (-2)/(2/(-3)). Let h = o + -4. Solve -j + 16 = -3*l, -3*l + 2*l - h = 4*j for l.
-5
Let u(s) = -9*s - 6. Let j be u(-1). Suppose b + 5 = y, j*y - b - 7 = -2*b. Solve -4*g = -y*m - 18, -g = -1 - 2 for m.
-2
Let c(n) = n - 3. Let w be c(4). Suppose w = -4*f + 5. Let i be (f + -2 + -1)*-1. Solve 0 = -3*y - 3*a + 15, 0 = y + a - i*a - 1 for y.
3
Suppose 8*u - 3*u + 3*h - 117 = 0, -4*u - 5*h + 91 = 0. Let m(o) = -2*o + 52. Let y be m(u). Solve -5*d - y*c = 0, -2*c = -d + c for d.
0
Let r be -1*(0 + (4 - 5) + -3). Solve r = d + 5*v, 2*d = 5*v - 3 - 4 for d.
-1
Let k(l) = -7*l - 7. Let a be k(-1). Solve -4*f + 2*t + 16 = a, 0*f - 4*t = f - 4 for f.
4
Let i be 8/3 - 13/(-39). Let o be (-3 + (9 - 4))*i/2. Solve 0 = -4*s, -o*k - 5*s = -s + 12 for k.
-4
Suppose g - 15 = -2*g. Suppose 0 = -2*v - 4*h + 8, g*v - 4*h - 4 = v. Solve -2*u + l = 4, v*l + 8 = 5*u + 4*l for u.
0
Let c(s) be the second derivative of -s**5/20 + s**4/12 + s**3 + 3*s**2/2 - 18*s. Let i be c(3). Solve -i*b + 4 = -4*x, b - 5*x - 5 = -0 for b.
0
Let t be 2/6 - (-392)/12. Suppose -28*o + t*o = 60. Solve -4*k = 4*u, 5*k + o = 2*k for u.
4
Suppose -5*d + 4*d = 5*b + 3, -5*d - 15 = b. Let c be (((-20)/3)/(-5) - 1)*b. Solve c = -4*i - 5*a + a + 8, -4*a + 8 = 5*i for i.
0
Let s = -29 - -29. Suppose s = -5*p + 7 + 13. Let y(q) = -q**3 - 4*q**2 + 3*q - 7. Let m be y(-5). Solve -p*d - 4*r = -24, m*d + 2*r + 0*r - 14 = 0 for d.
2
Suppose -6*u + 26 = 2. Solve c + 1 = -4*d + 11, -d - 6 = -u*c for c.
2
Let u(m) = 6*m - 2. Let l(y) = 11*y - 3. Let r(b) = -3*l(b) + 5*u(b). Let s be r(-2). Let x be 3 - ((s - 2) + -16). Solve z = 4*t + 3, 4*z + t = x - 4 for z.
3
Let s = 15 - 11. Suppose -o + 80 = s*o. Suppose i - 2*i + o = 0. Solve -2 - i = -5*u - 4*l, 10 = 5*l for u.
2
Let k be (-7)/14 + 35/(-2). Let o be (-3768)/54 + 4/k. Let t be 20/o - 65/(-7). Solve -2*q - 2 = 2*z, z - 2*q + 5*q = -t for z.
3
Suppose -37*c + 68 = -20*c. Solve 3*y - 9 = 0, -c*y + 0*y = -k - 17 for k.
-5
Let x be 20/22*(-165)/(-30). Solve q + d + 0 = -3, 2*q + 3*d + x = 0 for q.
-4
Let s = 27 - 27. Solve k = -u - 1, 0 = -s*k + 2*k - 5*u - 12 for k.
1
Let w be ((-96)/(-216))/((-6)/(-27)). Solve 10 = 5*d, w*h - d - 6 = d for h.
5
Suppose 20*j + 30 = 90. Solve 4*d + 16 = -j*p - 1, -d + 3*p = 8 for d.
-5
Let b = -627 + 629. Solve -5*k - b + 0 = 4*n, 2*k - 3*n + 10 = 0 for k.
-2
Let d = 32 + -29. Suppose 7*u = d*u + 4. Let h be 1 + (5 - 2) + u. Solve -4*r = -h*n + 30, 3*n + 2*n + r - 5 = 0 for n.
2
Let q = 20 - 13. Suppose 6*v = q*v - 5. Suppose 3*g + 4*m = 11, -v*m = g - 15 + 4. Solve 9 = 5*a + 34, 0 = -2*c - a - g for c.
2
Suppose -18 = -2*q + 5*n - 23, 0 = -3*n + 9. Solve 4 = -k - i, -i = 3*k - q*k + 4 for k.
0
Let r be (-6)/(-2) + (-1 - -3). Let h(q) = -q**2 + 6*q - 3. Let v be h(r). Suppose -d = -v*d + 12. Solve 5*c + 4*g - 7 + 2 = 0, c + 3*g - d = 0 for c.
-3
Suppose 0 = -0*s + 3*s - 9. Suppose 27 = 3*c + 3*x, -c + s*x + x - 16 = 0. Solve 3*d = c*n - 12 - 10, 4*n = 4*d + 24 for d.
-2
Let j(b) = -b**3 + b**2 + 2. Let r be j(5). Let t = 57 + r. Let q = -27 - t. Solve 5 = 2*w + x + q, 0 = -x - 3 for w.
-3
Let k(w) = -107*w**3 + 7*w**2 + 0 - 2 + w + 106*w**3. Let a be k(7). Solve -2*b = 4*x + b + 3, -a*x - 4*b = 5 for x.
3
Let r be 6/4 + 7/14. Suppose -3*x = -7*x - r*i + 54, 2*x - 2*i - 18 = 0. Solve 3*a - 2*t = 4, 0 = -4*a + 2*t - t + x for a.
4
Let l(p) = -7*p**3 + 2*p**2 + p. Let g be l(-1). Suppose -g*x + 15 = -17. Solve x*d + t + 6 - 20 = 0, 0 = -3*d - 4*t + 17 for d.
3
Let p = -223 - -225. Solve -11 = -4*z - 5*t - p, -4*z - 2*t = -6 for z.
1
Let n = -22 - -19. Let d be 1/((1/n)/(-1)). Solve -c - 7*i = -d*i + 4, 4*i = -4 for c.
0
Let y(o) = 10*o**2 + 25*o + 1. Let k be y(-3). Solve -3*d = b - 11, 3*b = 4*d + 4*b - k for d.
5
Let w be -10*8/(-160)*6. Solve -3*t + 2*v + 4 = 0, -3*t + 8 = -w*v + 5*v for t.
2
Suppose -2*z + a - 4*a = 6, 2*a + 4 = 2*z. Solve 3*k = -3*r + 21, z = 4*k - 0*r + 5*r - 32 for k.
3
Suppose -32 = -425*c + 417*c. Solve -2*w + 2*f = -2*f - c, 0 = -2*w + 2*f + 2 for w.
0
Let f be (14/(-2))/(49/(-14)). Solve -f + 0 = i, d = -3*i - 5 for d.
1
Let x = -68 + 69. Suppose 2*b - x - 3 = 0. Solve 0 = 3*q + n - 4, -5*q + 2 = -5*n + b*n for q.
1
Suppose -3*c + 2 = -2*x, -3*x + 8*x - 21 = c. Suppose 10 = 7*s - x*s. Let k = 40 + -12. Solve 0 = -a + s*z - k, 3*z = a + 2*a + 24 for a.
-3
Let m be ((-268)/(-2))/(1 - (5 + -3)). Let o = -120 - m. Solve 0 = 2*l + 4*s + o, 5*s - s = -l - 15 for l.
1
Suppose 3*x - 4 = 5*c + 7, 0 = -4*x + 4*c + 12. Solve -15 = 5*j, -6*a + 4*a - 4*j = x for a.
5
Let c b | {
"pile_set_name": "DM Mathematics"
} |
ivative of -45091*g**5*u**3 - 36*g**2*u**3 - 4640*g + 86*u**3 wrt g?
-901820*g**3*u**3 - 72*u**3
What is the second derivative of -3484*o**4 + 51*o**3 + 209*o + 1119 wrt o?
-41808*o**2 + 306*o
Find the second derivative of 2*u**2*z**3 - 3884*u**2*z - 16*u**2 + 147*u*z**3 - z**3 + 2877*z wrt u.
4*z**3 - 7768*z - 32
Find the second derivative of -18*u**3 - 588*u**2 - 129806*u wrt u.
-108*u - 1176
What is the second derivative of 4*u**3 + 2635*u**2 - 20224*u wrt u?
24*u + 5270
Find the third derivative of -29128*j*r**3 + 1170*j*r + 13*r**2 wrt r.
-174768*j
Find the third derivative of 7*r*x**3 + 6010*r*x**2 + 615*x**6 + x**2 wrt x.
42*r + 73800*x**3
Find the third derivative of -465323*u**3 + 1347475*u**2 wrt u.
-2791938
Find the third derivative of 145*g**3*t**3*z**3 - 153*g**3*t**3 - 2*g**2*t**2*z + 102*g*t**3*z**3 - 2*g*t**3 - 15*g*t*z**3 wrt g.
870*t**3*z**3 - 918*t**3
Find the third derivative of -13*a**3*k*q - 17888*a**3*q - 71*a**2 - 9*a*k - k*q + 84*k - 2*q wrt a.
-78*k*q - 107328*q
What is the derivative of 1242*h**2*z - 12594*h**2 - 253*z**4 + 50 wrt z?
1242*h**2 - 1012*z**3
What is the first derivative of -22010*w + 22690?
-22010
Differentiate 1285660*p*z**2 + 2085826*z**2 with respect to p.
1285660*z**2
What is the derivative of -26*n**3 + 65*n**2*v**2 - 7*v**2 + 4209*v - 2 wrt n?
-78*n**2 + 130*n*v**2
What is the derivative of -45299*k + 11046?
-45299
Differentiate 4319*u*z**3 - 9*u*z**2 - 15*z**3 - 1317*z**2 with respect to u.
4319*z**3 - 9*z**2
Find the third derivative of -2*q**3*s**3 + 2*q**3 + 40*q**2*s**3 + 2*q*s**2 - 4072*s**3 - 101408*s wrt s.
-12*q**3 + 240*q**2 - 24432
What is the second derivative of -273973*s**3 + 1340428*s?
-1643838*s
Find the second derivative of 568084*n**3*w**2 + 72*n**3 + 4281*n**2*w wrt w.
1136168*n**3
What is the third derivative of z**6 - 2*z**5 - 7764*z**3 + 6*z**2 - 9904 wrt z?
120*z**3 - 120*z**2 - 46584
What is the third derivative of 487137*g**4 + 5*g**3 - 1564281*g**2?
11691288*g + 30
What is the first derivative of 2*c*j**3 + 18*c*j**2 + 2*c*j - 152*c - 897*j**3 - 10*j - 30 wrt c?
2*j**3 + 18*j**2 + 2*j - 152
Find the third derivative of -309*v**5 + 13*v**4 + 2*v**3 + 993944*v**2 wrt v.
-18540*v**2 + 312*v + 12
Find the third derivative of -2419508*d**6*j**2 - 3848*d**2*j - d**2 + d*j**2 - d - 5 wrt d.
-290340960*d**3*j**2
Find the third derivative of b*c**5 - 454*b*c**2 - b*c + 2*b - 53*c**5 - 669*c**3 - c**2 + 17 wrt c.
60*b*c**2 - 3180*c**2 - 4014
What is the third derivative of 329298*q**3*r**3 + 214*q**2*r**2 - 4*q**2 + q*r**3 + 57*r**2 wrt q?
1975788*r**3
What is the third derivative of 2186*a**4 - 39807*a**2 wrt a?
52464*a
Find the first derivative of -f**3 + 31*f**2 + 14*f + 81117 wrt f.
-3*f**2 + 62*f + 14
Differentiate 984946*t**3 + 684738 with respect to t.
2954838*t**2
Find the second derivative of 15313*k**4 + 16*k**3 + 182*k - 2266.
183756*k**2 + 96*k
What is the second derivative of -205*p**2*x**2 - 24836*p**2*x wrt x?
-410*p**2
What is the second derivative of 3*m**3*r**2 - 823*m**3 - 28*m**2*r + 30131*r**3 wrt r?
6*m**3 + 180786*r
Differentiate 3048382*m + 1295405 wrt m.
3048382
Find the third derivative of 2*n*o**3*t - 105*n*o**3 + n*o**2 - 10*n*t - 17*o**3 - 1118*o**2*t wrt o.
12*n*t - 630*n - 102
Find the first derivative of 50514*t**2 - 47485 wrt t.
101028*t
What is the second derivative of 2*k**3*v**3 + k**3*v + 665*k**2*v**2 + 7*k*v**3 - k - 13*v**3 - 2 wrt k?
12*k*v**3 + 6*k*v + 1330*v**2
What is the first derivative of -235976*q**3 - 1112660?
-707928*q**2
Differentiate -11*c**3*s**2 - 13*c**3 - 5*c**2 - c + 32405*s**3 - 44 wrt s.
-22*c**3*s + 97215*s**2
Find the third derivative of 1595134*p**2*s**3 + 96*p**2*s**2 - 5794*s**2 wrt s.
9570804*p**2
What is the derivative of 11*h**4*o**3 + 355*h**4 - 281614*o**3 wrt h?
44*h**3*o**3 + 1420*h**3
Find the second derivative of 1782456*t**2 - 1482756*t.
3564912
What is the second derivative of -119999*l*y**2 - 4627*l*y - 46*l + 8*y**2 wrt y?
-239998*l + 16
Find the second derivative of 1565*d**5 - d - 3538 wrt d.
31300*d**3
What is the second derivative of 436*j**2*x**3 + 8*j**2*x**2 + 2*j**2 - j + 47*x**3 + 6*x - 3 wrt j?
872*x**3 + 16*x**2 + 4
Differentiate 1353*x**2 + 7*x - 218662.
2706*x + 7
What is the first derivative of -530*n**2*v**2 + n**2*v - 10*n*v**2 + 2*v**2 + 2*v + 59489 wrt n?
-1060*n*v**2 + 2*n*v - 10*v**2
Differentiate -3*k**3 - 8*k**2 - 46*k - 121752.
-9*k**2 - 16*k - 46
Find the second derivative of 2276*j**2*q**2 + 5*j**2*q - 20*j*q**3 - 44*j*q + 104*j wrt q.
4552*j**2 - 120*j*q
Find the third derivative of -15*z**4 - 11135*z**3 - 84*z**2 - 335 wrt z.
-360*z - 66810
Differentiate 49*p**3*s - 2*p**3 - 11*p**2*s + 2*p*s + 3*s - 32745 with respect to s.
49*p**3 - 11*p**2 + 2*p + 3
Find the third derivative of -3*g**6 - 636*g**5 - 26578*g**2.
-360*g**3 - 38160*g**2
Find the third derivative of -79966*l**3 - 7*l**2 - 346.
-479796
What is the third derivative of -2*p*v**4 + 221*p*v**3 - 136*p*v**2 - 2*p*v + 345*p - 35*v**4 + v**3 - 2*v**2 - 15*v wrt v?
-48*p*v + 1326*p - 840*v + 6
What is the second derivative of 39145*i**2 + 62861*i?
78290
Find the first derivative of -2*u**4 - 97604*u - 2304329.
-8*u**3 - 97604
Find the second derivative of -114*f**3*u + 46*f**3 + f**2*u**2 + 50*f*u**2 - 3*f*u + 5*f + 3*u**2 wrt f.
-684*f*u + 276*f + 2*u**2
What is the third derivative of -70956*m**4 + 52501*m**2?
-1702944*m
Find the second derivative of 22310*u**2 + 9*u + 5868 wrt u.
44620
Find the third derivative of -29*k**3*n**3 + 2*k**3*n**2 + 17*k**3 - k**2*n + 4*k*n + 38*n**3 - 4*n**2 wrt k.
-174*n**3 + 12*n**2 + 102
Find the second derivative of -17839*s**5 + 8*s**2 + 4420579*s.
-356780*s**3 + 16
What is the second derivative of 58718*s**5 - 4*s + 4312?
1174360*s**3
Differentiate 3*j**4 - 8*j**3 - 682*j**2 - 3*j + 4680290.
12*j**3 - 24*j**2 - 1364*j - 3
Find the third derivative of -26607*y**5 + 40515*y**2 wrt y.
-1596420*y**2
What is the third derivative of -119434*z**6 + 1203176*z**2?
-14332080*z**3
What is the third derivative of 112*c**6 + 40*c**3*o - 10*c**2*o - 3*c*o - o + 41 wrt c?
13440*c**3 + 240*o
What is the third derivative of -35*k**5 - 1309*k**4 - 92720*k**2 wrt k?
-2100*k**2 - 31416*k
Find the third derivative of -2671884*f**3 - 2*f**2 + 67235*f + 2 wrt f.
-16031304
Find the third derivative of -3*b*n*s**3 - 354*b*n*s**2 - b*s**3 + 11*b*s + 126*n*s**3 + n*s**2 - 2*n - 5*s**3 wrt s.
-18*b*n - 6*b + 756*n - 30
Differentiate -38107*y**2 - 36046.
-76214*y
What is the third derivative of -11*c*o*v**4 + 2*c*o*v**2 + c*o*v - 2*c*v**4 + 29000*c*v**3 + 11*c*v**2 - 211*o*v**2 + v**2 wrt v?
-264*c*o*v - 48*c*v + 174000*c
Find the third derivative of 55*f**4*u**2 - 18*f**4*u - 4*f**3*u - 23*f**2*u**2 - f**2*u + 49*f*u**2 - 2*f + 16*u**2 wrt f.
1320*f*u**2 - 432*f*u - 24*u
Find the third derivative of -48528*d**6 - 9*d**2 + 2758 wrt d.
-5823360*d**3
Find the second derivative of 2*p**3 + 73449*p**2 - 557027*p.
12*p + 146898
Find the first derivative of -39*f**3 + 6*f**2 + 8*f - 36710 wrt f.
-117*f**2 + 12*f + 8
What is the second derivative of -305175*m**2*t + 62*m*t - 430*m + 2*t wrt m?
-610350*t
What is the second derivative of 2*l**3*p**4 + 2*l**3 + 137*l**2*p**5 + 21076*l*p wrt p?
24*l**3*p**2 + 2740*l**2*p**3
Find the third derivative of 47892*x**6 + 20*x**4 - 508837*x**2 - 2*x wrt x.
5747040*x**3 + 480*x
Find the second derivative of -35925*u**3 - 2014*u + 7 wrt u.
-215550*u
Find the first derivative of 3*h**2*k**2 + 4633*h**2*q**3 - 22*k**2 - 214*k*q**3 + 9*q**3 wrt k.
6*h**2*k - 44*k - 214*q**3
What is the third derivative of -259170*j**3*s**2 + 38929*j**2*s**2 wrt j?
-1555020*s**2
What is the second derivative of -20*d**2*h**3 - 542*d**2*h + d*h**3 - d*h**2 - 9769*h**3 wrt d?
-40*h**3 - 1084*h
What is the first derivative of -4*k**3 - 129712*k - 210961?
-12*k**2 - 129712
What is the second derivative of 45420*n**2 + 27442*n - 2 wrt n?
90840
Find the third derivative of q**4 + 14307*q**3 + 218208*q**2.
24*q + 85842
What is the third derivative of 349027*r**5 - 7*r**2 - 3492*r?
20941620*r**2
Find the second derivative of 70578*g**4 - 2*g**3 - 3*g**2 - 25383*g + 27 wrt g.
846936*g**2 - 12*g - 6
What is the third derivative of -7*y**5 + 225439*y**4 - 3*y**2 - 362849*y?
-420*y**2 + 5410536*y
Find the third | {
"pile_set_name": "DM Mathematics"
} |
(g) be the first derivative of -g**2 + 6*g - 749. Let l = 16 + -11. Determine k(l).
-4
Suppose -5*i = -2*m + 49, -4*m + 5*i = -21 - 52. Let s(v) = -v**3 + 16*v**2 - 49*v + 17. Calculate s(m).
5
Suppose 0 = 6*p - 5*p - 9. Let z = p - 3. Let n(m) be the second derivative of m**5/20 - 7*m**4/12 + 2*m**3/3 + 2*m**2 + 12*m. Give n(z).
-8
Suppose -26 = -f + k, k + k + 29 = f. Let v = 16 - f. Let h(d) = -d**2 - 6*d + 9. Determine h(v).
2
Let l = 54 + -55. Let r be ((0 + 0)/l)/(4 - 2). Let z(m) = -m. Calculate z(r).
0
Suppose 3*i = z, 4*z = -i - i. Suppose z = -0*x - 2*x + 6. Suppose 4*a - a + x*q = -6, -a = -5*q - 16. Let b(l) = 3*l - 1. Calculate b(a).
2
Let j(l) be the first derivative of l**3/3 + 11*l**2/2 + 4*l + 32. Give j(-12).
16
Let n(w) = -w**3 - 54*w**2 - 107*w - 162. Let i be n(-52). Let o(z) = z**3 + 4*z**2 - 11*z + 4. What is o(i)?
-2
Let o = 9 + -6. Suppose 2*h + 5 = -o*h. Let m(d) = 11*d**2 - 5. Let q(g) = -g**2 + 1. Let a(y) = -m(y) - 6*q(y). What is a(h)?
-6
Let o(f) = f - 13. Let x be (37/(-148))/(1/(-20) + 0). Suppose 2*c - x*c - 8 = 4*i, -5*c - i - 2 = 0. Calculate o(c).
-13
Let v(w) = -5*w**2 + 8. Let l(n) = -2*n**2 + 1. Let p(r) = 3*l(r) - v(r). Determine p(-4).
-21
Let x(d) be the second derivative of -d**4/12 + 13*d**3/6 - d**2 + 71*d - 3. Calculate x(9).
34
Let x(j) = j**2 + 4*j. Let q be x(-2). Let l(i) = 3*i**2 + 6*i - 20. Let y(r) = -r**2 - 2*r + 7. Let f(p) = -4*l(p) - 11*y(p). Determine f(q).
-5
Let a(b) = -b + 22. Let u be a(-12). Let p = 30 - u. Let h(r) = -r**3 - 6*r**2 - 7*r - 4. Give h(p).
-8
Let f(o) = -3*o - 5. Let p(r) = -r. Let t(i) be the first derivative of 3*i**2/2 + 6. Let z(a) = 4*p(a) + t(a). Let u be z(4). Determine f(u).
7
Let z(m) be the second derivative of 35*m**4/12 + m**3/6 + 266*m. What is z(-1)?
34
Let x(j) be the first derivative of j**3/3 - 4*j**2 + 9*j + 31. Let p be (-3 + 2)/((-1)/6). Let b(k) = -k**3 + 6*k**2 + 8. Let d be b(p). Give x(d).
9
Let x be 21*(0 + (-6)/(-2)). Let z = 63 - x. Let c(d) = -d**2 - 4. What is c(z)?
-4
Let a(m) = 169*m + m**3 + 168*m - 499*m + 166*m + 4*m**2 + 4. Calculate a(-3).
1
Let h(l) = l**2 + 3*l - 2. Let j be h(1). Suppose -j*y + y = 0. Let a(z) = -z - z**3 + 2 - 3*z - 3 + 5*z. Determine a(y).
-1
Let s(b) = 3*b + 2. Let n(u) = -14*u - 7. Let y(g) = n(g) + 5*s(g). Give y(10).
13
Let h(c) = -c**3 + 4*c**2 + c - 5. Let i be (5/2)/((-4)/(-16)). Let j be 38/i + 9/45. What is h(j)?
-1
Suppose 0 = -2*a + 12 - 22. Let d(h) = h + 3. Calculate d(a).
-2
Suppose -4*g + 3*s = -82, -s + 18 = g + 1. Suppose -g*a + 15*a = -8. Let v(h) = -2*h**3 + 2*h**2 + 1. Give v(a).
-7
Let n(r) = r**3 + r**2 - r - 3. Let s be 0*(-1 - -4)*3/(-9). Determine n(s).
-3
Let v(w) = -w**3 - 5*w**2 + 7 - 7*w - 1 + 2*w**3. Let x(p) = -p**3 - 5*p**2 - 6*p - 2. Let s be x(-4). Calculate v(s).
0
Let g(f) = f**3 + 9*f**2 + 9*f + 2. Let q be ((-8)/24)/(1*1/24). Calculate g(q).
-6
Let p(z) = -2*z**3 - 3*z**2 + 3*z - 3. Let v(l) = -4*l**3 - 7*l**2 + 7*l - 8. Let o(g) = -5*p(g) + 2*v(g). What is o(-1)?
-1
Suppose z - 5 + 45 = 0. Let k = 300 + z. Let h be k/(-39) - 1/3. Let w(t) = t - 1. Give w(h).
-8
Let w be 2/(-2) - 3 - -8. Let q(y) = y**3 - 4*y**2 + y - 6. Calculate q(w).
-2
Let w(a) = -a**3 - 4*a**2 + 6*a + 7. Let k be (2 + 1)/(-6 + 27/5). What is w(k)?
2
Let v(d) be the first derivative of 13 - 1/3*d**3 + 2*d**2 - 4*d. Give v(6).
-16
Suppose 9*i - 1 = -19. Suppose -4*w + k - 4*k = -8, 3*k - 2 = -w. Let a(z) = z - z - 3 - w*z + 1. What is a(i)?
2
Let q = 1 - -3. Let n(v) = -4*v - 1. Let f(s) = -11*s - 3. Let m(y) = -3*f(y) + 8*n(y). Let a(o) = o**2 - 2*o. Let p(g) = a(g) - 3*m(g). Give p(q).
-7
Let k be (-24)/(-9)*9/6. Suppose 7 - 3 = k*t. Let v(y) = 2 + t + y + 5 - 3*y. What is v(6)?
-4
Let p(a) = a**3 - 10*a**2 - 6*a + 12. Let s(i) = -i**2 + 1. Let j(b) = p(b) - 6*s(b). Determine j(5).
1
Let f(u) = u**2 + 2*u**3 + 2 + 5*u - 5*u + 2*u**3 - 3*u**3. Calculate f(0).
2
Let g(o) = 4*o**2 - 2*o**2 + 11 + o - 2*o**3 - 6 - 7. Calculate g(1).
-1
Let f(r) be the first derivative of -4*r + 1/20*r**5 + 8 - 4*r**2 + 7/12*r**4 + 7/6*r**3. Let y(l) be the first derivative of f(l). Determine y(-6).
-14
Suppose 0 = 4*d - 2*t - 26, 5*d + 2*t - 25 = -6. Let k(a) = a - 3. Let n be k(d). Let u(o) = 5*o - 1. Calculate u(n).
9
Let x(z) be the second derivative of z**4/12 + 4*z**3/3 + 3*z**2 - 2*z - 14. What is x(-9)?
15
Suppose -o - 11 = -3*m, 4*m - 10*o + 15*o = 40. Let a(c) = -c**3 + 4*c**2 + c + 7. What is a(m)?
-13
Suppose 5*d + 4*s = -0 - 5, 23 = d - 4*s. Suppose d*j = 3 - 12. Let x(c) = c**2 + 6*c + 4. Give x(j).
-5
Let z be (2 - 0) + (-6 - 0). Let d(j) = j**3 + j**2 - 5*j + 1. Let m be d(2). Let o(a) = 2*a**2 - a**2 + 2 - a**3 - 3 + m*a - 4*a**2. What is o(z)?
3
Let j(t) be the first derivative of -t**3/3 + 3*t**2 - 3*t + 1. Suppose 3*f = 4*f - 3. Suppose -h + 4*v + 8 = 0, 0 = -f*v - 3 - 0. Determine j(h).
5
Let p(g) = -g - 2. Let o(h) be the third derivative of h**5/30 + 3*h**4/8 - 3*h**3/2 + 12*h**2. Let a be o(-5). What is p(a)?
2
Let g(s) be the second derivative of -s**5/20 + s**4/4 + s**3/3 + s**2 - 7*s. Let p = 22 - 18. What is g(p)?
-6
Let d(h) = h - 3. Let c be ((-10)/6)/((-925)/60 - -15). Suppose -j + 8 = j. Suppose c*l = 3*l + j. Give d(l).
1
Let r(v) be the first derivative of -v**4/24 - 7*v**3/6 - v**2 - 9. Let s(g) be the second derivative of r(g). What is s(-7)?
0
Let i(v) = -3*v**3 - 91*v**2 + 92*v + 142. Let f(h) = h**3 + 31*h**2 - 31*h - 47. Let u(z) = 8*f(z) + 3*i(z). Give u(-26).
-2
Suppose 4*t - 6*t = -14. Let p(n) = -4*n**2 - 3*n**2 - t*n**2 + 15*n**2. Suppose -2*z + 0 + 4 = 0. Determine p(z).
4
Let t(b) be the third derivative of -b**6/180 + b**4/6 + b**2. Let d(l) be the second derivative of t(l). Calculate d(-2).
8
Let f(h) = 8*h + 9. Let c = -609 - -607. Determine f(c).
-7
Let j(y) = y**2 + 35 - 62 + 2*y + 26 + 13*y**2 - 31*y**2. Determine j(1).
-16
Let w(u) = u**3 - 6*u**2 + 8*u + 5. Let r(y) = y**2 + 2*y + 4. Let g be r(-2). Give w(g).
5
Let u(w) = 14*w**2 - 25*w - 2. Let t(h) = -3*h**2 + 6*h + 1. Let p(v) = 9*t(v) + 2*u(v). What is p(-4)?
5
Let j(h) = h**2 + 2*h**3 - 12*h**2 + 13*h**2 + 0*h**2 - h. Give j(2).
22
Let y(z) be the first derivative of z**3/3 - 9*z**2/2 + 7*z - 117. Calculate y(6).
-11
Suppose -5*l - 4*c - 30 = -10*l, 0 = 3*c + 15. Suppose 0 = -2*u + 5*d + 21, -2*u + d + 2 + 7 = 0. Let s(v) = -4 + u - 1 - 2*v + 3. Determine s(l).
-3
Let m(i) be the first derivative of 3*i**2/2 + i + 4. Let y(p) = 2 - 1 - 3*p**3 - 12*p**2 + 2*p**3. Let z be y(-12). Determine m(z).
4
Let r(o) = -o + 9. Let q be r(7). Suppose 0 = -q*i - 2*j + 18, 3*i + 3*j = 5*j + 2. Let w be ((-3)/i)/(2/16). Let d(p) = -p**2 - 7*p - 2. Give d(w).
4
Suppose -5*t = -4*o - 4, 5*t - 4*t - 2*o + 4 = 0. Let h(n) = -4*n + 1 - 3 - 4. Let z(m) = m. Let r(c) = h(c) + 6*z(c). Determine r(t).
2
Let s(q) = 37 - 28 - 4*q - 2*q**2 + 3*q**2 - 19. Determine s(5).
-5
Let z(p) = -176*p - 179*p + 357*p - 6. What is z(-6)?
-18
Suppose 14 = 72*t - 70*t. Let r(k) = 8*k - 2 + 3*k**2 - t*k**2 + 2*k**2. Determine r(6).
-26
Let g(q) be the second derivative of q**3/6 + q**2/2 + 59*q. Calculate g(7).
8
Let p(g) be the first derivative of g**4/4 - g**3 + g**2 - 11. Let x(f) = -f**3 - 8*f**2 - 6*f + 9. Let i be x(-7). Give p(i).
0
Let v(d) = -d - 18. Let s(y) = -9. Let o(r) = 10*s(r) - 4*v(r). Calculate o(8).
14
Suppose -4*v = -3*n + 3 + 8, -5*n + 4*v = -29. Let c(z) = z**3 - 10*z**2 + 10*z. What is c(n)?
9
Suppose -3*b + 3*n + 18 - 3 = 0, -22 = -5*b + 4*n. Let u be 4 + (0 - b - -2). Let i(t) be the third derivative of t**5/60 - t**4/6 + 35*t**2 - 2. What is i(u)?
0
Let q(h) = -28*h**2 + 8. Let a(i) = -i**2. Let r(j) = 20*a(j) - q(j). Let y(n) = 9*n**2 - 7. Let u(z) = -6*r(z) + 7*y(z). What is u(1)?
14
Let b be 0/1*(-6)/(-72)*6. Suppose b*i = 4*i, 4*h + i = 20. Let y(g) = g - 7. What is y(h)?
-2
Let r(k) = 3*k**2 + 26*k - 25. Let y(n) = 5*n**2 + 51*n - 50. Let m(z) = 7*r(z) - 4*y(z). Let o be m(21). Let t(l) = 2*l + 1. Give t(o).
9
Let a(d) = 7*d**2 + 2*d - 1. Let q(t) = -3*t + 2 + 139*t**2 + 0 - 150*t**2. Let u(n) = 8*a(n) + 5*q(n). Give u(-2).
4
Suppose 8*f + 3*s - 7 = 4*f, -29 = 2*f - 5*s. Let o(r) = r**3 - r**2 - r + 1. Let p(c) = 2*c**3 - 7*c**2 - 4*c + 5. Let z(h) = 4*o(h) - p(h). Determine z(f).
-5
Let m(h) = 2*h**3 + 1. Let o be m(1 | {
"pile_set_name": "DM Mathematics"
} |
65621 + 484304 = -7534*b for b.
-67
Solve -8891*v + 8721*v - 2092 = 121 + 2207 for v.
-26
Solve -175286 = 41*s - 172252 for s.
-74
Solve -4021*h - 23291 - 45825 - 55703 = -16252 for h.
-27
Solve 0 = -690*d - 1726*d - 140128 for d.
-58
Solve -93*w - 94*w + 4968 + 7385 = 385 for w.
64
Solve -56831*p + 1386 = -56930*p for p.
-14
Solve -8226*d + 1918*d - 157700 = 0 for d.
-25
Solve 4038*t = 167963 + 115859 - 98074 for t.
46
Solve -62*g + 429*g - 1520 = -393*g for g.
2
Solve 151*n + 24350 = -175*n - 107*n - 54*n for n.
-50
Solve -c + 654 - 671 = 0 for c.
-17
Solve -1171530 = 29*j - 1173299 for j.
61
Solve -600330 + 564330 = 240*b for b.
-150
Solve -136*l - 3578 + 18933 = -583*l + 32*l for l.
-37
Solve -80*y - 44 = 77*y + 78*y - 233*y for y.
-22
Solve 0 = 454*t + 150*t + 111*t + 15*t + 85410 for t.
-117
Solve -277*j - 5352 = 259*j + 14480 for j.
-37
Solve 574084*l + 899 = 574259*l - 1201 for l.
12
Solve -89334 = -68*d - 86138 for d.
47
Solve -2022*l - 91589 = -25979 + 13248 for l.
-39
Solve 65641*q = 66022*q - 11430 for q.
30
Solve -105*i = -159*i - 83*i + 3973 for i.
29
Solve 1402*l + 2273*l + 440*l + 483*l = 147136 for l.
32
Solve 1472*o + 643*o - 78613 - 305549 = -863*o for o.
129
Solve 9421*m - 9447*m - 806 = 0 for m.
-31
Solve 301 = -80*z + 1807 + 734 for z.
28
Solve 388*l - 49*l - 47*l + 8768 = 155*l for l.
-64
Solve 67638 = 738*o + 2958*o - 13674 for o.
22
Solve 481*k + 1272*k + 163020 = 37*k for k.
-95
Solve 98*g - 511*g - 25*g - 348*g = -32226 for g.
41
Solve -25955 = -1005*i - 1656 + 16906 for i.
41
Solve 0 = -391*m + 7218 + 15069 for m.
57
Solve -1171*h = -700*h - 689*h + 48 + 388 for h.
2
Solve 638*j - 18533 + 4497 = 0 for j.
22
Solve -223*x - 1432 = 371 - 185 + 166 for x.
-8
Solve -60260 = -2125*h + 69365 for h.
61
Solve -501*l + 14378 = -795*l - 2213*l + 72039 for l.
23
Solve 101561 = 467*i - 2688*i - 45025 for i.
-66
Solve -825*j - 27649 = -9499 for j.
-22
Solve -2622*h + 104532 = -65898 for h.
65
Solve 285*x + 807*x - 118976 = -52*x for x.
104
Solve -1193*p - 4968 + 70168 = 111*p for p.
50
Solve -739*p = 12997 + 6217 for p.
-26
Solve -1041*n = 442*n - 15580 - 28910 for n.
30
Solve -889*m + 367*m - 306*m - 58310 = 887*m for m.
-34
Solve -33*p - 536 + 171 = 74*p + 812 for p.
-11
Solve 1165*y + 1062 = 11730 + 38262 for y.
42
Solve 78517 + 65303 = 3995*m for m.
36
Solve 11822*p + 11832*p - 560 = -11827*p + 35471*p for p.
56
Solve 0 = -6827*l + 5960*l + 22511 + 25184 + 7793 for l.
64
Solve 322*g = 1309*g + 32571 for g.
-33
Solve 96*i - 11*i + 68*i = 19*i + 2412 for i.
18
Solve 0 = -79*a - 89359 + 93546 for a.
53
Solve 0*g + 21654 = 206*g + 160*g - 11286 for g.
90
Solve -38909*g + 892136 = -1304430 - 2355787 for g.
117
Solve 397*u = 25294 - 49908 for u.
-62
Solve 151*y + 74*y + 143 = -1067 + 85 for y.
-5
Solve 423*m - 32448 = -384*m + 183*m for m.
52
Solve 0 = 143719*i - 148250*i + 448569 for i.
99
Solve -370*n - 4356 = 113*n + n for n.
-9
Solve 0 = 895*l + 142740 - 71140 for l.
-80
Solve 14899*j = 29716*j - 14937*j - 12240 for j.
-102
Solve -99*y + 23391 - 28737 = 0 for y.
-54
Solve 280*s - 4349 = 3079 - 71 + 3283 for s.
38
Solve 299*c - 235*c + 236*c - 12600 = 0 for c.
42
Solve -699237 = -18*l - 699741 for l.
-28
Solve -23205 + 60328 + 76799 - 14172 = -6650*i for i.
-15
Solve 0 = -1098*f - 9529*f - 25090*f - 5571852 for f.
-156
Solve -58*r + 148*r = 37*r - 185*r + 24276 for r.
102
Solve 171*h = -18*h + 3969 for h.
21
Solve 408*p - 390*p + 808*p + 27258 = 0 for p.
-33
Solve 242 - 3431 = -357*j + 1095 for j.
12
Solve 0 = 4332*b - 5158*b - 27258 for b.
-33
Solve 323*z - 15345 = -700*z for z.
15
Solve 0 = 2723*w + 5693*w - 681696 for w.
81
Solve 3893 = 87*l + 23*l + 1461 - 3508 for l.
54
Solve -4527*k + 921*k - 324540 = 0 for k.
-90
Solve 852*d = 920257 - 849541 for d.
83
Solve -13116 - 195 = -138*p + 7113 for p.
148
Solve -6058895 + 6057641 = -22*a for a.
57
Solve 25905*s - 25983*s = -2418 for s.
31
Solve 6491 - 8149 = -629*y + 12571 + 8415 for y.
36
Solve 0 = 16*u + 27*u + 736*u + 49303 + 15354 for u.
-83
Solve 10*b - 926 = -89*b + 175 + 3849 for b.
50
Solve -668*n - 4922 - 1540 = 886 for n.
-11
Solve 116*p - 1869 - 1605 - 231 - 1167 = 0 for p.
42
Solve -34622*h + 34547*h = -5775 for h.
77
Solve 32*a - 12267 + 2605 = 227*a + 7108 for a.
-86
Solve 226*f - 29171 = -774*f + 11829 for f.
41
Solve 0 = 4343*n - 50*n + 3479*n for n.
0
Solve -25*k - 24*k = -11*k - 2157 + 143 for k.
53
Solve -1363*t + 2942 - 58192 - 20285 = -570 for t.
-55
Solve 300*u - 827*u - 20026 = 0 for u.
-38
Solve -1310*v + 864*v + 7211*v = -3823*v for v.
0
Solve -78*g - 167*g - 79*g = 201*g - 7350 for g.
14
Solve -15566 = 2271*i - 81745 - 120043 for i.
82
Solve -1206*k + 51767 - 669 = 1195*k - 639*k for k.
29
Solve -313716 = 4431*g + 62919 for g.
-85
Solve 0 = -203*p - 1703*p + 323*p - 3166 for p.
-2
Solve 140*c - 38 - 32 = 33*c + 37 for c.
1
Solve -38*o = 106*o - 209 - 367 for o.
4
Solve 1739 + 913 = -704*g + 755*g for g.
52
Solve 446*h + 79524 = -697*h + 297*h for h.
-94
Solve -7563 = -10*u - 6963 for u.
60
Solve 0 = 1251*l + 820*l + 2148*l + 41*l + 276900 for l.
-65
Solve 390*t - 100 = 95*t - 690 for t.
-2
Solve 190890*j - 191536*j + 14858 = 0 for j.
23
Solve -17746 = 3028*j - 108586 for j.
30
Solve 170*v + 4*v + 11562 = 600 for v.
-63
Solve -440*v + 16338 + 7483 = 3141 for v.
47
Solve 4577*v = 4928*v - 27729 for v.
79
Solve -757*x = -413*x - 26144 for x.
76
Solve -125*f - 173*f + 2349 = 4*f - 41*f for f.
9
Solve 40*o = -22*o - 5339 + 2301 for o.
-49
Solve -1522*x + 612*x + 4550 = 0 for x.
5
Solve -112*f + 9000 = 64*f - 53*f + 57*f for f.
50
Solve 88*b + 131*b = 355*b - 82*b - 5238 for b.
97
Solve 1340 + 894 = 111*h + 14*h - 2641 for h.
39
Solve -641*h + 101811 = -1429*h - 1733*h - 36844 for h.
-55
Solve 1672 = 36765168*c - 36765124*c for c.
38
Solve 328323 = 192*m + 356931 for m.
-149
Solve 6344 = 383*h + 295*h - 556*h for h.
52
Solve -5042 - 10433 + 178327 = 2127*s - 83880 for s.
116
Solve 25009*l - 5754 = 24872*l for l.
42
Solve 100200 = -1162*v - 842*v for v.
-50
Solve 1253*m = -51780 - 2168 + 3828 for m.
-40
Solve 204704 = 11946*k + 37460 for k.
14
Solve -72521 = 353*j + 153*j - 4717 for j.
-134
Solve 779837 = -8*u + 779525 for u.
-39
Solve 53400 = -53*x + 28211 + 27256 for x.
39
Solve -33*y + 1159 = 796 for y.
11
Solve -2604432*o = -2604449*o - 1021 + 137 for o.
-52
Solve 24876 = -126*b + 22986 for b.
-15
Solve -174*q + 79667 = 90977 for q.
-65
Solve 4*o - 218*o - 2313 = 43*o for o.
-9
Solve 7582 = -5986*o + 14318 - 31649 - 82835 for o.
-18
Solve 236*a + 307*a + 111*a - 1413 = 183*a for a.
3
Solve -6653*r = 453*r - 220286 for r.
31
Solve 94*y + 2530 = 18*y - 39*y for y.
-22
Solve -211*d + 4445 + 1872 - 157 = -35*d for d.
35
Solve 0 = 2382*x - 1634*x + 2992 for x.
-4
Solve 2134*q - 330*q = -2504 - 30932 - 4448 for q.
-21
Solve 878*d - 1916 = 418*d + 420*d + 764 for d.
67
Solve -26*z - 31*z + 29*z = 56 for z.
-2
Solve 371*m + 7680 = -169*m + 28*m for m.
-15
Solve 208097 = -2461*y + 3430 - 14362 for y.
-89
Solve -416*s - 14 = 783 + 35 for s.
-2
Solve -974*j = -758*j - 5832 for j.
27
Solve 1920*j + 157143 - 43863 = 0 for j.
-59
Solve -511*u + 2874 = -160*u - 2515 - 1982 for u.
21
Solve 726*j + 465*j + 387*j - 187*j - 26429 = 0 for j.
19
Solve 19428*g + 7870*g = -1528688 for g.
-56
Solve 500*h + 2255 = -1859*h - 2463 for h.
-2
Solve 260*q - 23008 = 486*q + 91*q + 402*q for q.
-32
Solve -731*v - 53157 = 632*v for v.
-39
Solve 0 = 578*s + 7300 + 12499 - 7083 for s.
-22
Solve 2377*h - 92 = 2426*h + 6 for h.
-2
Solve 0 = 2*o - 44721 + 44799 for o.
-39
Solve 4991 = 601*f - 28665 for f.
56
Solve -23348*k + 23376*k = 1176 for k.
42
Solve 0 = -15731*q + 15951*q - 440 for q.
2
Solve 5178 - 49981 = -7074*o + 17697 + 22388 for o.
12
Solve -10*k + 25*k + 2*k = -442 for k.
-26
Solve -14187*l - 757584 = 732051 for l.
-105
Solve -104*t + 185 = -25*t - 4081 for t.
54
Solve 0 = -297*i - 306*i + 48*i + 33204 + 19521 for i.
95
Solve -55*v - 205*v - 245*v - 505 = 0 for v.
-1
Solve -10*x = -311*x + 54*x - 58*x - 610 for x.
-2
Solve -898 + 35866 = 372*x for x.
94
Solve 367*y + 181*y + 189*y = -456*y - 9544 for y.
-8
Solve 1591*d + 10439 + 3243 = 1494 - 5313 for d.
-11
Solve 0 = 8*u - 5*u - 23*u + 946 - 606 for u.
17
Solve -199*x - 191*x + 782*x + 42978 = -710*x for x.
-39
Solve 128*n - | {
"pile_set_name": "DM Mathematics"
} |
-234*g**2
Differentiate -1119*h**3 + h - 627 wrt h.
-3357*h**2 + 1
What is the second derivative of a**4 + 257*a**3 - 582*a wrt a?
12*a**2 + 1542*a
Find the third derivative of 40*i**3*r**3 - 236*i**2*r**2 + i*r**3 wrt i.
240*r**3
What is the third derivative of 5*v**5 + 3*v**4 + 149*v**3 + 2*v**2 - 26?
300*v**2 + 72*v + 894
Find the second derivative of -25*o**2*q**3*y + o**2*q**2*y - 22*o**2*q*y + 64*o*q**3*y - 4*o*q**2*y - 3*q**3 wrt o.
-50*q**3*y + 2*q**2*y - 44*q*y
Differentiate -78*h*v*z**2 + 1427*h*z**3 + 3*v*z**3 + v*z with respect to v.
-78*h*z**2 + 3*z**3 + z
What is the second derivative of 44*f*o*y**2 - f*o - 3*f*y**2 + 2*f*y + 2*o + 2*y wrt y?
88*f*o - 6*f
Find the second derivative of -72*n**4 - 2*n**2 + 161*n - 4.
-864*n**2 - 4
What is the derivative of 5*d*g - 9*d*q + d - 2*g**2 + 14*g*q wrt g?
5*d - 4*g + 14*q
Find the first derivative of 12407*w**4 + 10087 wrt w.
49628*w**3
Differentiate 22*n**3 + 11*n + 334 wrt n.
66*n**2 + 11
Find the first derivative of -30*a**2 + 7*a*o + 4*o - 102 wrt a.
-60*a + 7*o
What is the third derivative of -c*r**4 - 465*c*r**3 - 5*c*r**2 - c + 4*r**2 wrt r?
-24*c*r - 2790*c
Find the second derivative of -17*f**3*g - 13*f**2*s**2 + 3*f*g + 164*g*s + s**2 wrt f.
-102*f*g - 26*s**2
Find the first derivative of 3096*z**2 - 163 wrt z.
6192*z
Find the second derivative of -2*c*g**2*j + 3*c*g**2*y**2 - c*g**2 + 4*c*g*j*y**2 - 16*c*g*j + 3*g**2*y**2 + 2*g*j*y wrt y.
6*c*g**2 + 8*c*g*j + 6*g**2
Differentiate -15*q**2 - 3*q + 234.
-30*q - 3
What is the third derivative of -2*c**4 + 161*c**3 + 314*c**2 + 2*c?
-48*c + 966
Find the second derivative of -6048*a**4 + 108*a + 34.
-72576*a**2
Find the first derivative of 65*z**3 - 65.
195*z**2
Differentiate 37*c**4 + 1108 with respect to c.
148*c**3
Differentiate 112*b*d**2*o + 2*b*o - 4*d**2 + 49*d*o + 2*d with respect to b.
112*d**2*o + 2*o
Differentiate 3*u**4 + 4*u**3 + 13*u - 20388 wrt u.
12*u**3 + 12*u**2 + 13
What is the first derivative of -138*j**2 + 239 wrt j?
-276*j
What is the second derivative of 9*m**2*s**3 + 4*m**2*s**2 - 38*m**2*s - 78*m*s**3 - 3*m*s**2 + s**3 wrt m?
18*s**3 + 8*s**2 - 76*s
Find the second derivative of 15*g**4*r + 3*g**2*r**2 - 2*g**2*r + 13*g*r**2 + 12*g wrt g.
180*g**2*r + 6*r**2 - 4*r
What is the second derivative of -2*a**3*v**3 - 39*a**3 + 93*v**4 + 3*v wrt v?
-12*a**3*v + 1116*v**2
What is the derivative of 6*s*x**3 + s*x**2 - 1184*s + 233*x**3 wrt x?
18*s*x**2 + 2*s*x + 699*x**2
What is the second derivative of 3*m**4 + 29*m**3 + 2*m - 89?
36*m**2 + 174*m
What is the third derivative of 9196*c*u**3 - 3292*c*u**2 wrt u?
55176*c
What is the third derivative of 39*k*m**3 - 2*k*m**2 + 160*k - 18*m**4 wrt m?
234*k - 432*m
Differentiate -571*z**3 + 194.
-1713*z**2
Differentiate 8*m**3 + m**2*s - 14*m + 10349*s wrt m.
24*m**2 + 2*m*s - 14
Find the second derivative of 26*f**5 + 46*f**2 + 2*f + 113 wrt f.
520*f**3 + 92
Find the second derivative of 345*c**5*d + 3*c*d - 17*d wrt c.
6900*c**3*d
What is the third derivative of -1704*d**4 - 42*d**2 - 5*d wrt d?
-40896*d
Find the third derivative of 4*i**3*l**4 - 4*i**3 - 43*i**2*l**5 - 41*i**2*l**2 wrt l.
96*i**3*l - 2580*i**2*l**2
What is the second derivative of 229*o**5 - 85*o?
4580*o**3
Find the third derivative of 242*b**4 + 12*b**2 + 2*b.
5808*b
Find the third derivative of 82*a**3 - a**2 + 118*a.
492
What is the second derivative of 112*g**3*h**2 + 4*g**3*h + g**2*h - 4*g*h wrt h?
224*g**3
What is the second derivative of -4*q**4 - 105*q**2 - 659*q?
-48*q**2 - 210
What is the third derivative of 13*b**6*d + 2*b**5*d**2 + b**2*d - 89*b*d**2 - d**2 wrt b?
1560*b**3*d + 120*b**2*d**2
What is the third derivative of 2*n**3*v**3 + 31*n**3*v**2 - 32*n**3 + 241*n*v**6 wrt v?
12*n**3 + 28920*n*v**3
Differentiate -4*w**2 + 298*w - 374 with respect to w.
-8*w + 298
Find the first derivative of -286*h**2 + 2*h + 338 wrt h.
-572*h + 2
Find the second derivative of -1286*v**5 - 359*v + 2 wrt v.
-25720*v**3
What is the third derivative of 3*f*r**6 + 23*f*r**2 + 3*f + 16*r**6 wrt r?
360*f*r**3 + 1920*r**3
Find the third derivative of 14*w**6*y - 3*w**3*y**2 + 724*w**2*y**2 + w**2*y wrt w.
1680*w**3*y - 18*y**2
What is the second derivative of -9693*p**3 + 7740*p wrt p?
-58158*p
What is the second derivative of -3483*l**4 - 63*l - 109?
-41796*l**2
What is the second derivative of 650*k**2 + k - 63?
1300
What is the third derivative of 295*h**3*y**3 + 132*h**3 - 6*h*y**2 wrt y?
1770*h**3
What is the third derivative of h**3*z - 45*h**3 + 567*h**2*z wrt h?
6*z - 270
Differentiate -13756*p - 1014 with respect to p.
-13756
What is the second derivative of 4304*h**2 + 2*h + 110 wrt h?
8608
Differentiate 252*b**2*d - b*d**2 - 1036*d**2 with respect to b.
504*b*d - d**2
What is the second derivative of -5*g**2*r**2 - 14*g**2*r + g*r**5 + 5*g*r - r**2 wrt r?
-10*g**2 + 20*g*r**3 - 2
Differentiate 3*h*o*r*y**2 + 4*h*o*r - 93*h*r*y**2 - 2*h + 2*o*r*y + 4*o*r + o with respect to y.
6*h*o*r*y - 186*h*r*y + 2*o*r
What is the second derivative of 15*b*s**2*z + 2*b*s*z**2 + b*s*z + 2*b - 167*s**2*z**2 - s*z**2 - 902*s wrt s?
30*b*z - 334*z**2
Find the third derivative of -2*h**4*j*m - 4*h**4*m + 4*h**3*j*m**2 + 8*h**2*j*m**2 + 5*h**2*m + m**2 wrt h.
-48*h*j*m - 96*h*m + 24*j*m**2
Find the third derivative of 156*b**6*o + 2*b**5*o*s - b**2*o*s + 29*b**2 - o*s wrt b.
18720*b**3*o + 120*b**2*o*s
Find the second derivative of 7*l**4 + 363*l**3 - l**2 - 3367*l.
84*l**2 + 2178*l - 2
Find the second derivative of v**3*w**4 - 5*v**3*w**2 + v**3*w - 43*v**3 + 10*w**3 wrt w.
12*v**3*w**2 - 10*v**3 + 60*w
What is the third derivative of -h**6 - 2*h**4 + 2*h**2 - 29*h?
-120*h**3 - 48*h
What is the second derivative of -55*f**2*p - 7*f**2 + 86*f*p + 2*f + 19*p wrt f?
-110*p - 14
What is the second derivative of 2*g**4 - 824*g**2 - 19*g - 134?
24*g**2 - 1648
Differentiate -3*t*v - 416*t - 44*v wrt v.
-3*t - 44
What is the derivative of 21*h**2 - 2*h - 26?
42*h - 2
Find the second derivative of 29*j**4 + 184*j wrt j.
348*j**2
What is the second derivative of 42*h**4 + 13*h**3 + 595*h - 3?
504*h**2 + 78*h
Find the second derivative of -2*t**5*x + 234*t**5 + 39*t*x + 4 wrt t.
-40*t**3*x + 4680*t**3
What is the third derivative of 4768*h**4 - 10*h**2 + 10?
114432*h
Find the second derivative of -832*p**4*x + p**3*x - p**2*x - 2*p*x + 2*p + x + 68 wrt p.
-9984*p**2*x + 6*p*x - 2*x
Find the second derivative of 2393*k**5*q**3 + 3*k**5 + 2*k*q + 3*q**3 - 6*q**2 + 37*q wrt k.
47860*k**3*q**3 + 60*k**3
What is the second derivative of t**3*y**3 - 1052*t**3*y**2 + 6*t**3*y + 3*t**3 + t**2 + 6*t*y wrt y?
6*t**3*y - 2104*t**3
What is the derivative of -9*d**2*n**4 - 8*d**2*n - 3*d**2 + 24*d wrt n?
-36*d**2*n**3 - 8*d**2
What is the second derivative of -3876*f**3*o**2 - 104*f**3*o - f**2*o + 2*f*o wrt o?
-7752*f**3
What is the third derivative of -10*f**3*l**4 - f**3*l**2 + 101*f**3 - 29*f*l**4 + 3*l**2 wrt l?
-240*f**3*l - 696*f*l
What is the third derivative of 1057*m**3 + 1655*m**2?
6342
Differentiate -1358*o**2 + 5*o - 13599 with respect to o.
-2716*o + 5
Differentiate -2*w**4 - 4*w**2 - 66*w + 8891 with respect to w.
-8*w**3 - 8*w - 66
What is the first derivative of -3*k*u**2*w + 67*k*u**2 + 2*k + 3213*u**2*w wrt w?
-3*k*u**2 + 3213*u**2
What is the second derivative of 524*m**3*t**2*v - 2*m**3*v + m*t**2 - 317*m*t*v + m*v wrt m?
3144*m*t**2*v - 12*m*v
What is the third derivative of 2*q**4*y**3 + 6*q**4 - 149*q**3*x*y + 2*q**2*x + 11*q*x + x*y**3 wrt q?
48*q*y**3 + 144*q - 894*x*y
What is the second derivative of -4*m*w**3 - 2*m*w**2 + 20023*m*w + 147*w**2 wrt w?
-24*m*w - 4*m + 294
What is the second derivative of 21*g**2*r**2 - 334*g**2*r - 5*r**4 wrt r?
42*g**2 - 60*r**2
What is the derivative of 27*g*s*z**3 - 162*g*s + 60*g*z + g + s*z**3 - 4 wrt z?
81*g*s*z**2 + 60*g + 3*s*z**2
What is the second derivative of 927*w**4 + 829*w - 2 wrt w?
11124*w**2
Find the third derivative of -3419*b**3*u**3 - b**2*u**3 + 18*b**2*u**2 - 20*b**2 wrt b.
-20514*u**3
What is the first derivative of 2*i**3*z - 150*i**3 - 2*i**2*y**2*z - 2*i**2*y**2 + i*y**2 - y*z**2 wrt z?
2*i**3 - 2*i**2*y**2 - 2*y*z
Differentiate 14*z**4 - 3*z + 6273.
56*z**3 - 3
Find the third derivative of -835*z**5 - z**2 - 11 wrt z.
-50100*z**2
Differentiate -12*q* | {
"pile_set_name": "DM Mathematics"
} |
e
Is 412 a factor of 47247485?
False
Is 744 a factor of 7127618208?
True
Is 54 a factor of 918081186?
False
Is 183831056 a multiple of 83?
True
Is 361577840 a multiple of 13?
True
Does 11 divide 11053655?
False
Is 1124 a factor of 120804148?
True
Does 418 divide 71270948?
False
Does 221 divide 38299742?
True
Is 21 a factor of 26803243?
False
Is 156 a factor of 1483546550?
False
Does 1337 divide 1539304144?
True
Does 3 divide 755235473?
False
Does 561 divide 23185569?
True
Is 27 a factor of 1343851765?
False
Is 520033570 a multiple of 98?
True
Is 8313435 a multiple of 99?
False
Does 34 divide 13497797?
False
Is 111 a factor of 92911329?
True
Is 15 a factor of 235544850?
True
Is 54372912 a multiple of 134?
True
Is 88 a factor of 74719480?
True
Is 877 a factor of 30934421?
True
Does 12 divide 12825120?
True
Is 16 a factor of 290084833?
False
Is 938 a factor of 2161469044?
True
Is 19801496 even?
True
Is 2799544 a multiple of 11?
True
Does 119 divide 86822757?
True
Is 57211439 a multiple of 3191?
True
Does 45 divide 964784970?
True
Is 707 a factor of 13686153?
False
Does 23 divide 2449809877?
False
Is 2555370576 a multiple of 9416?
True
Does 50 divide 481087700?
True
Does 257 divide 61690023?
True
Is 55183885 a multiple of 1055?
True
Is 455597541 a multiple of 63?
True
Is 1079 a factor of 162991317?
False
Is 6983379 a multiple of 13?
True
Is 28270224 a multiple of 548?
True
Is 90 a factor of 236719090?
False
Is 11413549 a multiple of 31?
True
Does 1127 divide 597231790?
False
Is 95 a factor of 1291620?
True
Is 68880855 a multiple of 164?
False
Does 339 divide 9919140?
True
Is 2355 a factor of 252248352?
False
Does 76 divide 157243899?
False
Is 1281505870 a multiple of 7127?
True
Is 16407617 a multiple of 7?
False
Is 79 a factor of 160281125?
True
Is 72378200 a multiple of 1160?
True
Does 93 divide 65464746?
True
Does 7150 divide 393956789?
False
Is 22 a factor of 3896811050?
True
Is 3301 a factor of 69832655?
True
Is 20946288 a multiple of 11?
True
Is 14975 a factor of 3334707006?
False
Is 79258037 a multiple of 504?
False
Is 43 a factor of 3732712?
False
Does 82 divide 3523269236?
True
Is 75808031 a multiple of 3?
False
Is 54 a factor of 9723763?
False
Is 221276726 a multiple of 11?
True
Does 8 divide 2225712?
True
Does 66 divide 11088068?
False
Does 2 divide 43995584?
True
Is 98581718 a multiple of 1229?
False
Is 3507620457 a multiple of 1767?
True
Is 69926529 a multiple of 35?
False
Does 11 divide 11115214?
True
Does 9 divide 385301025?
True
Is 1448 a factor of 7588968?
True
Does 971 divide 14319337?
True
Is 259785041 a multiple of 40?
False
Is 75991682 a multiple of 7?
False
Is 19054074 a multiple of 227?
False
Does 149 divide 159833661?
False
Is 822108625 a multiple of 212?
False
Is 47 a factor of 2744377?
True
Is 242930100 a multiple of 350?
True
Is 77 a factor of 46268761?
True
Is 1282211401 a multiple of 23?
False
Is 600 a factor of 43240993?
False
Is 4 a factor of 3824753?
False
Is 36963571 a multiple of 259?
False
Is 112706931 a multiple of 175?
False
Does 826 divide 247701706?
True
Is 113600381 a multiple of 2338?
False
Is 131218578 a multiple of 18?
True
Does 3399 divide 2430709875?
True
Is 168670736 a multiple of 272?
True
Is 554 a factor of 78585454?
True
Is 214 a factor of 24475867?
False
Is 276 a factor of 1168536991?
False
Does 500 divide 872749390?
False
Does 3 divide 87926126?
False
Is 7 a factor of 317525554?
False
Does 88 divide 121152011?
False
Does 292 divide 104116688?
True
Does 421 divide 148066121?
True
Is 59 a factor of 380692871?
False
Does 1837 divide 1116488418?
False
Does 409 divide 34800289?
False
Does 81 divide 1248998535?
True
Is 429642250 a multiple of 190?
True
Is 139 a factor of 2505379302?
False
Is 134237795 a multiple of 102?
False
Is 7 a factor of 517818296?
False
Is 584 a factor of 6362680?
True
Is 32144882 a multiple of 286?
False
Is 9 a factor of 189321867?
True
Is 626404901 a multiple of 1473?
False
Is 18 a factor of 105091776?
True
Is 90769812 a multiple of 1284?
True
Does 5145 divide 571496310?
True
Is 12870927 a multiple of 46?
False
Is 334788448 a multiple of 16?
True
Is 54 a factor of 119334762?
True
Is 38025083 a multiple of 136?
False
Is 729 a factor of 8281750?
False
Does 52 divide 27431040?
True
Is 614 a factor of 246880506?
False
Does 107 divide 7328030?
False
Does 117 divide 67376132?
False
Is 483 a factor of 66761226?
True
Is 437531318 a multiple of 397?
True
Is 3850 a factor of 445052300?
True
Is 74579133 a multiple of 6?
False
Is 139884529 a multiple of 1605?
False
Does 3537 divide 252100271?
False
Is 146936784 a multiple of 48?
True
Is 44328008 a multiple of 408?
False
Is 541992983 a multiple of 150?
False
Does 9 divide 28662912?
True
Is 287544784 a multiple of 126?
False
Is 43532762 a multiple of 38?
True
Is 1717 a factor of 103526515?
True
Is 73 a factor of 3485685?
False
Does 96 divide 306648960?
True
Does 51 divide 5206624?
False
Is 500 a factor of 2463463760?
False
Does 132 divide 8819316?
True
Is 448069482 a multiple of 354?
True
Is 781 a factor of 22570980?
False
Is 72 a factor of 26858038?
False
Is 23224574 a multiple of 19?
True
Is 25 a factor of 162461143?
False
Does 278 divide 1454577?
False
Is 20 a factor of 30993720?
True
Is 1172093398 a multiple of 14?
True
Is 30 a factor of 146258610?
True
Is 63 a factor of 97282416?
False
Does 13 divide 1021770547?
False
Is 7 a factor of 106133352?
False
Is 67909667 a multiple of 57?
False
Is 22 a factor of 39689119?
False
Is 122 a factor of 930445029?
False
Is 8018050 a multiple of 38?
False
Is 95862080 a multiple of 133?
False
Does 2935 divide 2768195145?
True
Does 27 divide 1999215?
True
Is 1843 a factor of 24797565?
True
Is 2746212591 a multiple of 5174?
False
Is 122169936 a multiple of 381?
True
Is 12342606 a multiple of 201?
True
Does 13 divide 54753751?
True
Does 114 divide 2280374490?
True
Does 611 divide 32840639?
True
Is 604512801 a multiple of 29?
True
Does 6 divide 30083?
False
Is 17957856 a multiple of 875?
False
Does 91 divide 81426601?
False
Is 6604 a factor of 683401732?
True
Does 40 divide 58569280?
True
Is 3485635419 a multiple of 7146?
False
Is 333202506 a multiple of 7?
True
Does 19 divide 316266226?
False
Is 14 a factor of 47976391?
False
Is 757706170 a multiple of 1079?
True
Is 133 a factor of 61765447?
False
Does 3134 divide 247525587?
False
Does 564 divide 2965688722?
False
Is 157113715 a multiple of 4100?
False
Is 10585000 a multiple of 1250?
True
Does 195 divide 74356815?
True
Does 10 divide 905604817?
False
Does 18 divide 41333256?
True
Is 279 a factor of 246701565?
True
Is 2925398375 a multiple of 41?
False
Does 229 divide 23974468?
True
Does 200 divide 3183126000?
True
Is 937 a factor of 26909703?
True
Is 550 a factor of 7501941?
False
Does 6 divide 43682754?
True
Is 170 a factor of 19111113?
False
Is 12456 a factor of 2657836368?
True
Is 897 a factor of 942665780?
False
Does 62 divide 190840964?
False
Does 490 divide 3645767058?
False
Does 1187 divide 60992808?
True
Does 516 divide 18338564?
False
Is 98 a factor of 431528523?
False
Is 58825224 a multiple of 5?
False
Is 26 a factor of 256166170?
True
Is 128 a factor of 198609792?
True
Is 35 a factor of 113264760?
True
Does 536 divide 41941464?
True
Is 13133116 a multiple of 775?
False
Does 1734 divide 63394626?
False
Does 3848 divide 125408350?
False
Does 321 divide 8341506?
True
Is 206754273 a multiple of 1089?
True
Is 59543224 a multiple of 13?
True
Does 9 divide 20833866?
True
Is 18 a factor of 10156255?
False
Is 16486558 a multiple of 4?
False
Is 8 a factor of 169422521?
False
Is 28693480 a multiple of 11?
False
Is 233427350 a multiple of 552?
False
Does 1325 divide 31431650?
True
Is 2609766467 a multiple of 49?
False
Is 273221064 a multiple of 5529?
True
Is 1402 a factor of 1406453619?
False
Is 47 a factor of 71037791?
False
Is 75 a factor of 1254423274?
False
Does 69 divide 271035519?
True
Is 27 a factor of 171252291?
False
Is 249651684 a multiple of 36?
True
Is 46998036 a multiple of 222?
False
Does 15 divide 109464891?
False
Does 34 divide 97911957?
False
Is 487794262 a multiple of 219?
False
Does 4 divide 136595742?
False
Is 136 a factor of 1595813468?
False
Is 583844464 a multiple of 28?
True
Does 41 divide 3486066?
True
Does 953 divide 473516004?
| {
"pile_set_name": "DM Mathematics"
} |
closest to 0? (a) o (b) 0 (c) -5
b
Let h be (-10)/3*(-21)/28. Let r = h + -2. What is the nearest to 0 in 0.2, r, -1?
0.2
Let k = -0.1 + -0.9. Let y = -1.3 + 0.94. Let u = y - 0.04. Which is the nearest to k? (a) 1 (b) u (c) 0.5
b
Let g be 1*(-5 - -4) - 2. Let p = 6 - 5.6. What is the nearest to g in p, -4, -3?
-3
Let m = -45 - -47.3. Let y = m - 2. Let o = y - -0.7. What is the nearest to 0.1 in 0.5, o, -4/7?
0.5
Let d = -0.6 - -0.6. Suppose -14 = -3*z - y, 5*z - 32 + 6 = -3*y. Let h be 1/(-4) + (-19)/z. What is the closest to d in 1/2, 0.2, h?
0.2
Let s = 72 + -215/3. Which is the nearest to -1? (a) -0.2 (b) s (c) 5
a
Let d = 4 - 4. Which is the nearest to -1/3? (a) -1/2 (b) d (c) 4
a
Let h = -4 + 4.1. Let t = 0.1 - 1.1. What is the closest to t in -0.4, -0.3, h?
-0.4
Let h be 2 - 25/7 - -2. Let x = 0 + 0. Let w = 4.6 + -0.6. Which is the nearest to 2/3? (a) h (b) x (c) w
a
Let s = -1 + 22. Let d = -21.5 + s. Which is the closest to 0? (a) -3/4 (b) 0.1 (c) d
b
Suppose 0 = 4*j + 52 + 228. Let o be -2 + (j/(-17) - 2). Which is the nearest to 1/4? (a) 3 (b) -0.3 (c) o
c
Let a = 187/3 - 63. Let n = -10.5 + 5. Let y = 0.5 + n. What is the closest to a in -3, y, 0.3?
0.3
Suppose 5*u - 11 = -2*d - 66, -61 = 4*u + 5*d. Let i be 1/u*(2 - 5). What is the nearest to 1 in -3/7, 2/3, i?
2/3
Let s = 0.05 - -2.95. Let j = s - 1. Let n be (-1)/(-2)*(-12)/(-30). Which is the nearest to j? (a) n (b) 2 (c) 0
b
Let w(l) = l**3 + 6*l**2 - l - 8. Let h be w(-6). Let t = 0.8 + 1.2. Which is the nearest to t? (a) h (b) 2/11 (c) -2/5
b
Let m be (-4*1)/(-5 + -13). What is the nearest to -1 in 0.4, m, 0?
0
Let u be 5/2*6/(-9). Let g = 4 + 20. Let p = g + -25. What is the nearest to 0 in u, p, -2/3?
-2/3
Let f be 3/(-10) - 1/(-2). Which is the closest to 0? (a) 1 (b) 0.3 (c) f
c
Let i = -4 - -7. What is the nearest to -1/2 in i, 3/7, 0.4?
0.4
Let w be ((-5)/(-110))/((-1)/(-4)). What is the nearest to 0.1 in -1, 4, w?
w
Let q = -2 - -1. Let m = -0.1 + -3.9. Let u = 184 + -1469/8. What is the closest to 0 in q, u, m?
u
Let q = -1.524 - 0.026. Let i = 0.05 + q. Let p = 1 + i. What is the nearest to -0.1 in -1, -2/5, p?
-2/5
Let m = -4 + 8. Suppose -q = -2*n, 2*n - m*q = -q. Which is the nearest to n? (a) 2 (b) 0.3 (c) -5
b
Let t(x) be the first derivative of 3*x**2/2 + 2*x + 3. Let r be t(6). Let g be 32/r + 1*-2. Which is the closest to g? (a) -1 (b) -2/5 (c) -1/12
b
Let p = -24.6 - -25. Which is the closest to 0? (a) -5 (b) 1 (c) p
c
Let y be 1 + (0 - 1)*-1. Let r be (y/6)/((-4)/(-3)). Let m = -0.08 + -2.92. Which is the closest to r? (a) -4 (b) 1 (c) m
b
Let j = -25 - -25.3. Which is the nearest to -6? (a) j (b) 3 (c) 1/3
a
Let f = 120 + -602/5. Let a be (2/24)/(1/2). What is the closest to -0.1 in a, f, -4?
a
Let a = -20 + 16. What is the nearest to 1 in 4, a, -2/7?
-2/7
Let i = 0.9 + -0.9. Let l be 1 - (-1 - 21/(-15)). Let v = 0.2 + 0.3. Which is the nearest to i? (a) -3/2 (b) v (c) l
b
Let x = 13 + -8. Let v = -5.2 + x. Let d = 0.1 - -0.1. Which is the nearest to 0.1? (a) d (b) -1 (c) v
a
Let a be -5*(46/(-50) + 1). Suppose 3*q = -l + 122, -2*l = -3*q - 4*l + 124. Let u be (-2)/(-8) + q/(-32). What is the nearest to 2/7 in a, 3, u?
a
Suppose 2*v + g + g - 12 = 0, -5*v = -g. Let z = 12.17 + -0.17. Let j = z - 10. Which is the nearest to v? (a) -4 (b) 5 (c) j
c
Let v = -71/24 + 31/12. What is the nearest to 1/4 in 0.3, -5, v?
0.3
Let s be (-8)/(-2) + (1 - 2). Let h(y) = 2*y + 4. Let j be h(-5). Let p = s + j. Which is the nearest to 0.1? (a) 2 (b) -2 (c) p
a
Let k = 12 + -14. Let q be 1/(-1) + k + 3. What is the nearest to -3 in -3, -1, q?
-3
Let j be (((-15)/6)/(-1))/((-12)/(-8)). Which is the nearest to -1/2? (a) 2/3 (b) 0 (c) j
b
Let z = -7 + 12. What is the closest to -1 in -7/6, 0, z?
-7/6
Let k = -0.07 + 0.14. Let h = 2.93 + k. Let r be 4/9*6/4. Which is the closest to r? (a) 5 (b) h (c) -1/4
c
Let m = -9/13 - -76/91. Which is the closest to -0.1? (a) 4 (b) -3 (c) m
c
Let k = 2072 + -10324/5. Let y = 262/35 - k. Let i = -25 + 25.3. Which is the nearest to -1? (a) i (b) y (c) 4
b
Let l = 0 - 0. Let z = 15 - 10. Which is the nearest to l? (a) -2 (b) -3 (c) z
a
Let z = 0.14 + 0.86. What is the nearest to z in 0.1, -0.3, 1?
1
Let v be (-9)/21 + 10/105. Let n = 0.3 - 2.3. What is the nearest to -1/2 in -1, n, v?
v
Let t be (-22)/8 + (-3)/(-1). Let r = 7 - 7.3. Let k = -523/6 - -87. Which is the nearest to t? (a) k (b) 3/2 (c) r
a
Let c be 2/(((-2)/4)/(9/(-9))). What is the nearest to -1 in c, 0.4, -0.5?
-0.5
Let p = -85.5 - -85. What is the closest to 1 in p, -0.03, 2?
2
Let t = 0 + 0.2. Let s be 1/6 - 3/234. What is the nearest to 0 in t, 0.1, s?
0.1
Let u = 0.002 + 3.998. What is the closest to 0.1 in -0.1, u, 0.4?
-0.1
Let j = 67 + -66.7. What is the closest to 0 in -0.4, -4/3, j?
j
Suppose -3*g + 15 = 0, -2*g = -l - 7*g + 35. What is the nearest to 0.2 in l, -1/2, 0?
0
Let p = -66 + 63. What is the closest to -0.1 in -2/7, -1, p?
-2/7
Let h(k) = k**2 + 4*k + 7. Let o be h(-5). Let p be (3/o)/(6/(-4)). Let m be (-2)/4 - 30/(-44). Which is the closest to 0? (a) -4 (b) m (c) p
c
Let d = -2.28 + 0.28. What is the nearest to d in 1, 8, -0.3?
-0.3
Let q(u) = -u**2 - 6*u - 4. Let l be q(-5). Let m(f) = -f - 8. Let p be m(-5). Which is the closest to l? (a) 1 (b) -0.5 (c) p
a
Let a be (-4)/16 - (-33)/84. What is the nearest to 0 in 5, -1/3, a?
a
Suppose 32 = 5*p - u - 2*u, 0 = u + 4. What is the nearest to 0.2 in p, -1, 0?
0
Suppose -3*x = -2*g + 435, 4*g - 891 = -0*x - x. Let q = -1773/8 + g. Let v = -11 + 7. Which is the nearest to -2/5? (a) v (b) 1/3 (c) q
b
Let p = -6 - -23/4. Let r = 0.2 + 0. Which is the closest to p? (a) 5 (b) -2/7 (c) r
b
Let x = -1 - -0.8. Let g = 1779/7 - 255. Let k = -32/21 - g. What is the nearest to x in k, -2/19, -1?
-2/19
Let v = 15 + -11. Let l = v + -3. Let r be (35/(-21))/((-1)/3). What is the nearest to -0.1 in -0.2, l, r?
-0.2
Let s = -3 + 4. Let x be (22*(-1)/(-3))/34. Let h = x - -2/17. Which is the nearest to s? (a) h (b) -0.1 (c) 3/2
c
Let p = 3.3 - 3.2. Which is the closest to p? (a) 4 (b) -1/6 (c) -1
b
Let x be 5/7 + (-2)/(-7). Let t = -2 + 1.8. Let o be (-3 - 1) + (-352)/(-66). Which is the closest to -1? (a) x (b) t (c) o
b
Let l = 7 - 8. Let x be (l/5)/(6/(-15)). Which is the nearest to 1? (a) 3 (b) x (c) 0.2
b
Suppose 4 = 3*g + 7. Suppose 3*w - w + 6 = -2*d, 0 = d - 3*w - 13. Which is the nearest to d? (a) -0.2 (b) -4 (c) g
a
Suppose 50 - 17 = -3*c. Let o = 16 + c. Suppose -o*b = -b. What is the nearest to b in 1, 3, 0.2?
0.2
Let u = 1.9 - 1.5. Let o = -0.2 + u. Which is the closest to o? (a) 1/2 (b) 4/3 (c) 0.2
c
Let r(p) = p**3 + 2*p**2 + p + 10. Let x be r(0). Let z be 1/(-2)*x/15. What is the nearest to 1/4 in z, 0, 4/3?
0
Let m = -0.2 + -1.8. Let p = -0.99 + -0.01. Which is the closest to p? (a) 0.5 (b) m (c) 2/13
b
Let j = 0.01 + 4.99. Let m = 28 + -28.2. What is the nearest to -2/3 in m, j, 2/3?
m
Suppose -2*g = 5*p - 21, -4*p + 5 + 22 = 5*g. Let k be (g/30)/((-3)/18). Let n = 0.5 + -4.5. What is the nearest to -1/3 in k, n, 0?
k
Let p = -4 - -2. Let g = p + -4. Let h = 11 + g. Which is the closest to 1? (a) -4/7 (b) -5 (c) h
a
Suppose 3*d - 2*n = -8, 2*d - 3*d + 5*n = 20. Suppose z + 2 + d = 0. Which is the closest to -1/4? (a) 2 (b) z (c) -4/7
c
Let l be ((2 - 3) + 0)/1. Let t = 67 - 199/3. Let n be 2/(-5) + 11/40. Which is the nearest to t? (a) -0.4 (b) l (c) n
c
Let j = -2 - -1. Let i = -4 + 3.5. Let v = 3.5 - i. Which is the closest to j? (a) 1 (b) -1 (c) v
b
Let z be (-3)/(-21)*4/4. What is the nearest to 0.1 in 0.3, z, 0.1?
0.1
Let o = -25 - -13. Let k be 8/o + (-16)/(-42). Which is the nearest to k? (a) 0.1 (b) -1 (c) 4/5
a
Let p = 5.1 + -5. Suppose -z - 5*i = -2*z + 19, -2*z + 45 = -3*i. Suppose 0 = 2*j + 2*q - 3*q - 9, 5*j = q + z. What is the closest to 1/4 in p, -1/3, j?
p
Let j be ((-12)/(-18))/((-2)/9). Let q = j - -1. Let v = 0.1 - 0.2. What is the nearest to v in q, 2, -0.4?
-0.4
Let y = -2 + 11. Which is the nearest to 1/4? (a) 4 (b) -3/2 (c) y
b
Let t = 6 - 5. Let m be 16/(-6)*(-24)/(-16). What is the closest to -2 in t, m, 4?
m
Let z be 2/(-7 + (2 - (-2 + 5))). Which is | {
"pile_set_name": "DM Mathematics"
} |
**3 and give n.
-2
Rearrange (-3 - 1 + 2)*(-8 + 8 + u) + 3*u + u - u to the form g*u + a and give g.
1
Express -c**4 + 5*c - 2*c + c + 0*c**3 + 11*c**3 + 7 as w*c**2 + x*c + j*c**4 + k*c**3 + a and give w.
0
Rearrange m**2 - 3*m**3 + 2*m**4 - 106 - 4*m**4 + 2*m + 105 to the form u*m**3 + d + j*m**2 + a*m**4 + r*m and give d.
-1
Rearrange (-x + x + 5*x)*(-x + 0*x + 4*x) + (-5 - 3*x + 5)*(1 - 4 + 2)*(8 - 2*x - 5 + 0*x) to the form y + t*x + i*x**2 and give t.
9
Rearrange -113 + 38 + 44 + 30 + 83*n + (-3*n + 2*n - 2*n)*(-1 - 3 + 6) to the form u*n + b and give u.
77
Express 24 - 37 - 50 - q as l*q + r and give r.
-63
Express (-49 + 27 + 27)*(0*w - 4*w - 1 + 2) in the form b*w + l and give b.
-20
Rearrange (0 + 0 - 5)*(-3 + 6 + 0)*(0*l**2 - l**2 + 2*l**2)*(0*l + 11*l - 2*l) to the form x*l**2 + o + b*l + i*l**3 and give i.
-135
Express 370*v + 1687 - 1687 in the form w*v + o and give w.
370
Rearrange 6*j**3 - 4*j**3 - 2*j**3 - 18*j**2 + 4*j**3 + 15*j**2 to the form p*j + i*j**3 + g*j**2 + f and give f.
0
Rearrange -p**4 + 1 + 100*p - 201*p - p**3 + 100*p - 4*p**2 to m*p**4 + g*p + q*p**3 + l + n*p**2 and give q.
-1
Express (-3*t + 0*t**3 - t**2 - 2*t**3 + 3*t**2)*(122*t - 236632 + 236632) in the form s*t**4 + y*t**3 + m + x*t**2 + h*t and give m.
0
Rearrange 4*j + 12*j + 861 - 18*j to u + q*j and give q.
-2
Express 206*r**2 + 2 - 411*r**2 + 12*r**3 + 205*r**2 - 3*r in the form z*r + h*r**3 + o + x*r**2 and give z.
-3
Express (671*s**2 + 366*s**2 + 127*s**2 + 763*s**2)*(0*s + 0*s - 3*s) as p*s + x*s**2 + u*s**3 + o and give p.
0
Rearrange (-f + 0*f - f)*(0 - 1 + 3)*(-46 - 169 + 16) to p + w*f and give w.
796
Express 138*k - 2*k**4 + 3*k**3 - 68*k + 2*k**2 + 2 - 6 - 67*k in the form i*k**4 + z*k + j*k**2 + u*k**3 + m and give u.
3
Express 195 - 2*w - 46*w**4 - 382 + 189 + w**2 in the form o*w**3 + x*w + a + u*w**2 + j*w**4 and give a.
2
Rearrange -116*n + 72 - 112*n + 229*n to j + b*n and give j.
72
Express (0*y - 3 + 2*y - y)*(-5 - 82 - 7) in the form h + o*y and give h.
282
Express (-3*x - x + 2*x + (0*x - 3*x + 6*x)*(6 - 5 + 0) + 4*x + 2*x - 2*x)*(-3*x + 3 - 3) in the form g + b*x**2 + h*x and give b.
-15
Rearrange 6*b**4 + 449*b**3 - 447*b**3 + 0 - 1 - 6*b + 3 to m*b**4 + l*b**2 + d*b**3 + x + c*b and give d.
2
Express -8*k**3 + 2077*k**4 - 3 - 2078*k**4 - 7*k**3 as f*k**2 + u*k**3 + m*k + c*k**4 + y and give u.
-15
Rearrange (0 - 8 + 0 + (0 + 3 - 1)*(3 - 5 + 3))*(3*x - 3*x**2 - 1 + 10*x + x) to o + y*x**2 + r*x and give o.
6
Express 4*l - 58*l**2 + l - 4*l - 4 + 4 - 3*l**2 + (0 + 2 - 1)*(-2*l**2 - l**2 + l**2) as x + u*l**2 + o*l and give x.
0
Rearrange (3*s - s + 0*s + (4 + 0 - 1)*(0*s + s + s))*(7*s - 20 + 20)*(-21 + 1 - 2) to k*s**2 + u*s + l and give k.
-1232
Rearrange -5*x + x**2 - 2*x + 15*x - 2*x + 2*x**3 to the form f*x**2 + k*x + j*x**3 + r and give f.
1
Express (3*g**2 - 2 + 10 + 2)*(-3*g - 1 + 1) - 2*g**3 - 2*g + 2*g + 2 as o*g**2 + m*g**3 + f + w*g and give w.
-30
Rearrange 136*z + 173*z - 36*z to the form g*z + f and give g.
273
Express -27 - 17 + 6*k + 59 - 3*k**2 - 30 as p*k + y + r*k**2 and give y.
-15
Express (-2*u - 4 + 4)*(6 - 6 - 5*u**3) - 9*u**4 - 14*u**4 - 4*u**4 as z*u**4 + v*u**3 + l + p*u + y*u**2 and give z.
-17
Express (4 - 1 - 2 + (-3 + 3 + 1)*(4 - 5 + 2))*(2687*n**4 - 461*n**4 - 1216*n**4) as o*n**3 + u*n + f*n**2 + i*n**4 + b and give i.
2020
Rearrange h**4 - 3*h**4 + 7*h**2 - h - 2*h**2 - 3*h**3 to the form j*h**2 + v + x*h**3 + o*h + k*h**4 and give x.
-3
Rearrange (-q + 4*q - 2*q)*(-18*q**3 + 705*q - 705*q) - 26*q**3 + 2*q**4 + 9*q**3 + 15*q**3 - 2*q to the form y*q**3 + c*q**4 + u + i*q + l*q**2 and give i.
-2
Rearrange 4*h - 5*h**3 - h**3 - 6*h + 9*h**3 + 20*h**2 to the form s*h**3 + l*h + q*h**2 + z and give s.
3
Rearrange -98 + 53 + 45 + 346*x to the form q*x + w and give q.
346
Rearrange (316 + 315 - 630 + 25*x)*(0 + 0 + 2*x)*(2 - 2 + 1) to the form t*x + a*x**2 + f and give a.
50
Rearrange -81 + 187*x**2 + x - 11*x**2 + 81 to the form s + f*x + t*x**2 and give t.
176
Rearrange 5*y**3 + 366*y + 1 - 3 - 364*y to the form f + g*y**2 + i*y**3 + k*y and give i.
5
Express (3*i**3 + 23*i**2 - 23*i**2)*(-2 + 0 + 0)*(-4*i + i - 5*i) as g + x*i**3 + v*i + b*i**2 + k*i**4 and give k.
48
Rearrange -3*m + 4*m - 5*m + 0*m + 0*m - 2*m + (1 - 3 + 1)*(-3 + m + 3) - 1 + 2*m - 2 + 0 to g*m + q and give g.
-5
Express (-573 + 2 - 29 + (3 - 2 + 0)*(-1 + 0 + 0))*(g - 1 + 1)*(-3*g + g + g) in the form p*g + c*g**2 + s and give c.
601
Express (-169*h + 5010 - 5010)*(-4 + 5 + 1)*(0 - 2 + 4)*(0*h**3 + h**3 + 0*h**3) in the form y*h**3 + u*h**4 + a*h + r*h**2 + q and give u.
-676
Rearrange 272*c**2 - 273*c**2 + 0*c + 490*c to the form u + d*c**2 + z*c and give z.
490
Express 3527 - 3*q - 3567 - 2*q as z + g*q and give z.
-40
Express 48*z**2 - 2886*z**3 - 10744*z**3 - 37*z**2 - 11*z**2 + (2*z + 0*z + 0*z)*(-2 + 2 - 2*z**2) as w*z + s*z**3 + a*z**2 + x and give s.
-13634
Express 14150 - 169*x - 14150 + (-x + x + 2*x)*(0 + 2 - 6) as w + s*x and give s.
-177
Rearrange 2*x**3 + 33*x**2 - 32*x**2 + 14*x**4 - 17*x**4 + 1 + 0*x**3 to the form o*x**3 + v*x**4 + l + n*x**2 + u*x and give v.
-3
Express (-3*a**3 + 7*a**3 + 8*a**3)*(-6 + 7 + 7*a + 4) as y*a**4 + c + j*a**3 + q*a + f*a**2 and give j.
60
Express 32*j + 149*j + 110*j - 17*j as r + n*j and give n.
274
Express 65 - 105919*b**2 - b**3 + 105919*b**2 as x + j*b**2 + s*b**3 + o*b and give o.
0
Rearrange (3*w + 0*w - 2*w)*(-w + 0 + 0) - 3*w**2 - 8196*w + 8196*w - 100 to the form h*w**2 + p + a*w and give p.
-100
Express (7 + 4 - 12)*(5*m**3 - 39*m**3 - 11*m**3) as p*m**3 + q*m**2 + a + z*m and give p.
45
Rearrange -46*f + 37*f + 8*f**2 - 11*f**2 to the form u*f + k + l*f**2 and give l.
-3
Rearrange (-19*k + 17*k + 11*k)*(k + 0 + 0) - k - 8*k**2 + 16 + 5 + 7*k**2 to c*k + h*k**2 + n and give h.
8
Express -15*b + 9*b - 5*b**2 + 21*b + 22*b as c*b**2 + x + u*b and give c.
-5
Express (184 - 184 + 11*l)*(60*l - 5*l + 7*l) as m*l**2 + k + b*l and give m.
682
Express k**3 - 6 + 8*k**4 - 7*k**4 + 9 in the form m*k + a + l*k**2 + q*k**3 + t*k**4 and give t.
1
Express 10*f - 25*f - 316 + 8*f + 9*f in the form d*f + j and give d.
2
Rearrange -74*q - q**4 + q**3 - q**4 - 109*q + 34*q + 4*q**4 to o*q**3 + x*q**4 + p*q + v + w*q**2 and give p.
-149
Rearrange (-28 + 28 + 4*h**2)*(-109 - 9 - 67 + 6) to i + z*h + s*h**2 and give s.
-716
Rearrange (1062 - 1062 - 44*n)*(-72*n + 72*n + 12*n**2) to l*n**3 + g*n + f + t*n**2 and give l.
-528
Express 26 + 23 - 5*z + z**2 + 412*z - 49 in the form q + f*z + y*z**2 and give f.
407
Rearrange -6078*o + 3 - 3 + 6078*o - 65*o**2 to p + v*o**2 + k*o and give v.
-65
Express (7*h**4 - 4*h**4 + 16*h**4)*(-1 + 4 + 0 + 3 - 1 - 4 + 5 + 0 - 3 + (-3 + 0 + 2)*(0 + 0 - 1)) in the form x*h + z*h**2 + j*h**3 + p + r*h**4 and give r.
76
Rearrange 77*d - d**2 + 94*d - 171*d + 1461 to s*d + g*d**2 + r and give g.
-1
Rearrange -5 - 75*n - 115*n - 342*n + 150*n to a + o*n and give a.
-5
Express u**2 - 28 + 121*u - 2*u**2 - 119*u as x + t*u + g*u**2 and give x.
-28
Express 0*s**2 + 0*s**2 + 22 - 280*s**4 + 2*s**3 + 283*s**4 as i*s + u*s**4 + f*s**2 + b + t*s**3 and give b.
22
Rearrange -2*p**4 + 1 - p + 161*p**3 - p + 5 - 156*p**3 to the form m*p**2 + w + u*p**3 + c*p**4 + h*p and give w.
6
Rearrange -n + n**2 + n + (2*n - 4*n + 0*n)*(2 - 2 - n) + 231*n**2 - 221*n**2 - 145*n**2 to j*n + z + k*n**2 and give k.
-132
Rearrange 574*r + 953*r - 136*r to d + w*r and give w.
1391
Express (3*l**2 - 2*l**2 + l**2)*(2697*l - 1349*l - 1349*l + 63) in the form s*l + m*l**3 + f*l**2 + u and give m.
-2
Express -147*k + 394*k + 613*k + 683*k - 13*k in the form o*k + g and give o.
1530
Rearrange (-1 + 4 - 1)*(-4*u + 6*u - u) + 1228*u - 33628 + 33628 + 2*u - 5*u + u + (4*u + 0*u - 5*u)*(-1 + 5 - 3) to the form l*u + p and give l.
1227
Rearrange 132*h - 28*h + 21*h to the form n*h + v and give v.
0
Rearrange 2*d**4 + 2 - 1 + 37*d**3 + d**2 + 50*d - 22*d - 28*d to w + o*d**3 + h*d**2 + u*d**4 + r*d and give w.
1
Express 18 - 17 + 0*y**2 - 2*y + 7 - 2*y**2 as a + q*y**2 + j*y and give j.
-2
Rearrange (-36678 + 36678 - 339*r)*(3*r + r + r) + 3*r**2 - 3*r**2 + r - r**2 to the form k*r**2 + c*r + s and give k.
-1696
Express 7*q - 5*q - 2*q - 2*q in the form m*q + w and give w.
0
Express 58*x**2 - x**3 - 1 | {
"pile_set_name": "DM Mathematics"
} |
+ 336*t**2/5 - 9408*t/5 = 0.
0, 56
Factor -4*l**4/3 - 7*l**3/3 - l**2.
-l**2*(l + 1)*(4*l + 3)/3
Factor 2*f**3/3 + 8*f**2 + 24*f + 64/3.
2*(f + 2)**2*(f + 8)/3
Let -5*f**4 - 70*f**3 - 360*f**2 - 810*f - 675 = 0. Calculate f.
-5, -3
Factor -2*m**2/7 + 1024*m - 917504.
-2*(m - 1792)**2/7
Let -4*i**2/3 - 64*i - 768 = 0. Calculate i.
-24
Suppose 2*u**4/3 - 26*u**3/3 + 92*u**2/3 - 8*u - 48 = 0. Calculate u.
-1, 2, 6
Factor -121*x**3/4 + 154*x**2 - 141*x + 36.
-(x - 4)*(11*x - 6)**2/4
Determine s so that -25*s**4 + 47*s**3 + 31*s**2 - 47*s - 6 = 0.
-1, -3/25, 1, 2
Find t such that 2*t**2/11 + 204*t/11 - 416/11 = 0.
-104, 2
Factor 2*k**2/9 - 116*k/9 + 38/3.
2*(k - 57)*(k - 1)/9
Factor -5*b**2 + 85210*b - 363037205.
-5*(b - 8521)**2
Solve -2*w**4 + 624*w**3 - 1240*w**2 = 0.
0, 2, 310
Factor 3*w**4 + 9*w**3 - 69*w**2 + 99*w - 42.
3*(w - 2)*(w - 1)**2*(w + 7)
Determine h, given that 5*h**3 - 5*h**2 - 80*h + 80 = 0.
-4, 1, 4
Suppose 6*k**5/11 + 20*k**4/11 - 52*k**3/11 + 46*k/11 - 20/11 = 0. Calculate k.
-5, -1, 2/3, 1
Factor 3*w**5/4 + 15*w**4/2 + 27*w**3 + 81*w**2/2 + 81*w/4.
3*w*(w + 1)*(w + 3)**3/4
Solve -2*j**4/13 - 4*j**3/13 + 14*j**2/13 + 16*j/13 - 24/13 = 0.
-3, -2, 1, 2
Determine x so that -4*x**5/3 - 103*x**4/3 - 566*x**3/3 - 1028*x**2/3 - 130*x + 57 = 0.
-19, -3, -1, 1/4
Determine b so that -2*b**3/7 + 2*b**2 + 36*b/7 = 0.
-2, 0, 9
Factor -3*j**3/4 + 153*j**2/4 - 2025*j/4 + 1875/4.
-3*(j - 25)**2*(j - 1)/4
Solve 2*a**4/5 - 24*a**3/5 + 94*a**2/5 - 24*a = 0.
0, 3, 4, 5
Factor f**2/2 + 519*f/2 - 260.
(f - 1)*(f + 520)/2
Factor y**3/3 + 8*y**2/3 - y/3 - 8/3.
(y - 1)*(y + 1)*(y + 8)/3
Factor v**3 + 404*v**2 + 40397*v - 82418.
(v - 2)*(v + 203)**2
Let -4*d**4/3 + 60*d**3 - 644*d**2 - 2116*d/3 = 0. What is d?
-1, 0, 23
Suppose -2*d**3 - 168*d**2 - 3840*d - 12800 = 0. Calculate d.
-40, -4
Factor 3*l**2 - 21*l + 18.
3*(l - 6)*(l - 1)
Factor -b**3/8 - 1035*b**2/4 - 1071225*b/8.
-b*(b + 1035)**2/8
Factor 27*h**4 - 78*h**3 + 75*h**2 - 24*h.
3*h*(h - 1)**2*(9*h - 8)
Solve -5*n**4 - 90*n**3 - 400*n**2 + 90*n + 405 = 0 for n.
-9, -1, 1
Suppose -6*d**2/5 + 48*d/5 = 0. Calculate d.
0, 8
Factor -50*s**3 - 4*s**2 + 50*s + 4.
-2*(s - 1)*(s + 1)*(25*s + 2)
Factor 3*o**4 - 30*o**3 - 36*o**2 + 30*o + 33.
3*(o - 11)*(o - 1)*(o + 1)**2
What is m in 12*m**5 - 68*m**4 - 72*m**3 + 272*m**2 + 96*m = 0?
-2, -1/3, 0, 2, 6
Factor 2*q**2/3 - 2020*q/3 + 510050/3.
2*(q - 505)**2/3
Factor 10*q**2/7 + 122*q/7 + 24/7.
2*(q + 12)*(5*q + 1)/7
Let 2*q**3/3 - 2074*q**2/3 + 178882*q + 179574 = 0. What is q?
-1, 519
Solve 396*h**3 - 72*h**2 - 44*h + 8 = 0 for h.
-1/3, 2/11, 1/3
Suppose -3*h**3 + 438*h**2 + 3*h - 438 = 0. Calculate h.
-1, 1, 146
Find y, given that -3*y**3 - 378*y**2 - 1476*y - 1464 = 0.
-122, -2
Determine x, given that -x**2/5 + 1162*x/5 - 337561/5 = 0.
581
Suppose s**4/2 - s**3 - 9*s**2/2 + s + 4 = 0. What is s?
-2, -1, 1, 4
Factor -4*a**3/7 + 336*a**2 - 49392*a.
-4*a*(a - 294)**2/7
Solve 4*l**3/9 + 332*l**2/9 + 2240*l/3 - 784 = 0 for l.
-42, 1
Factor 3*b**2 - 177*b - 8736.
3*(b - 91)*(b + 32)
What is g in -110450*g**5 - 272130*g**4 - 219621*g**3/2 - 15028*g**2 - 1317*g/2 - 9 = 0?
-2, -1/5, -3/94
Let -p**2/5 - 8*p/5 = 0. What is p?
-8, 0
Factor -5*a**4/3 + 115*a**3/3 - 110*a**2/3.
-5*a**2*(a - 22)*(a - 1)/3
Factor 5*l**4 - 300*l**3 + 1140*l**2 - 1120*l.
5*l*(l - 56)*(l - 2)**2
Factor -2*j**2 - 14*j + 36.
-2*(j - 2)*(j + 9)
Factor -q**3 + 30*q**2 - 188*q + 264.
-(q - 22)*(q - 6)*(q - 2)
Factor 4*q**4 - 5460*q**3 + 16356*q**2 - 16348*q + 5448.
4*(q - 1362)*(q - 1)**3
Suppose 5*p**3 - 80*p**2 = 0. Calculate p.
0, 16
Suppose -12*u**5 - 12*u**4 + 309*u**3 - 294*u**2 + 72*u = 0. What is u?
-6, 0, 1/2, 4
Factor 4*r**3/5 + 888*r**2/5 + 65712*r/5 + 1620896/5.
4*(r + 74)**3/5
Factor -3*r**2/4 - 57*r/4 - 27/2.
-3*(r + 1)*(r + 18)/4
Factor 4*j**4/3 - 23072*j**3/3 + 16634912*j**2 - 47975086208*j/3 + 17295018577984/3.
4*(j - 1442)**4/3
Determine a so that -2*a**5/3 - 32*a**4/3 - 18*a**3 + 32*a**2/3 + 56*a/3 = 0.
-14, -2, -1, 0, 1
Suppose -4*d**3/3 + 16*d**2/3 = 0. What is d?
0, 4
Factor 3*u**4 - 33*u**3 - 117*u**2 + 1377*u + 1458.
3*(u - 9)**2*(u + 1)*(u + 6)
Factor -v**4/2 + 2*v**3 - v**2 - 2*v + 3/2.
-(v - 3)*(v - 1)**2*(v + 1)/2
Factor 5*t**4 + 940*t**3 + 44175*t**2 - 940*t - 44180.
5*(t - 1)*(t + 1)*(t + 94)**2
Determine h, given that -2*h**5/11 - 222*h**4/11 - 8400*h**3/11 - 123088*h**2/11 - 559776*h/11 + 691488/11 = 0.
-42, -14, 1
Suppose 2*u**5 - 12*u**4 - 56*u**3 + 12*u**2 + 54*u = 0. What is u?
-3, -1, 0, 1, 9
Factor 8*c**2 + 1940*c + 968.
4*(c + 242)*(2*c + 1)
Suppose 2*x**5 + 24*x**4 + 76*x**3 - 32*x**2 - 270*x + 200 = 0. Calculate x.
-5, -4, 1
Find k such that k**4/4 - 3*k**3/2 + 9*k**2/4 - k = 0.
0, 1, 4
Determine b, given that -2*b**5 - 12*b**4 - 18*b**3 + 8*b**2 + 24*b = 0.
-3, -2, 0, 1
Factor -5*s**3 - 95*s**2 - 575*s - 1125.
-5*(s + 5)**2*(s + 9)
Suppose 5*r**4 + 35*r**3 + 40*r**2 - 140*r - 240 = 0. Calculate r.
-4, -3, -2, 2
Factor 4*s**2 + 48*s + 140.
4*(s + 5)*(s + 7)
Factor -5*b**4/3 + 2503*b**3/3 - 500*b**2.
-b**2*(b - 500)*(5*b - 3)/3
Solve 2*c**5/7 - 2908*c**4/7 + 1411346*c**3/7 - 229573784*c**2/7 + 454925152*c/7 - 226759808/7 = 0.
1, 484
Let -40*a**5 - 70*a**4 - 15*a**3 + 20*a**2 + 5*a = 0. Calculate a.
-1, -1/4, 0, 1/2
Factor -20*u**5 + 52*u**4 - 44*u**3 + 12*u**2.
-4*u**2*(u - 1)**2*(5*u - 3)
What is r in -r**3/4 - 63*r**2/2 - 1323*r - 18522 = 0?
-42
Factor -5*p**3 - 35*p**2 + 50*p + 80.
-5*(p - 2)*(p + 1)*(p + 8)
Determine v so that v**4 + 17*v**3/3 - 8*v**2/3 - 4*v = 0.
-6, -2/3, 0, 1
Factor d**4/4 - 105*d**3/4 + 751*d**2 - 3225*d + 2500.
(d - 50)**2*(d - 4)*(d - 1)/4
Find f such that 3*f**5/8 + 3*f**4 - 15*f**3/8 - 15*f**2 + 3*f/2 + 12 = 0.
-8, -2, -1, 1, 2
Factor 15*z**2 - 138*z + 27.
3*(z - 9)*(5*z - 1)
Factor -t**3/5 - 37*t**2/5 - 323*t/5 + 361/5.
-(t - 1)*(t + 19)**2/5
Let 5*c**3 - 145*c**2 + 275*c - 135 = 0. What is c?
1, 27
Factor y**4 + 1803*y**3 + 1083603*y**2 + 217081801*y.
y*(y + 601)**3
Factor 25*m**4/3 + 35*m**3/3 + 11*m**2/3 + m/3.
m*(m + 1)*(5*m + 1)**2/3
Suppose 3*b**2/8 - 123*b/4 + 432 = 0. What is b?
18, 64
Factor -3*v**2 - 150*v - 1875.
-3*(v + 25)**2
Factor -2*m**4/13 + 8*m**3/13 - 6*m**2/13.
-2*m**2*(m - 3)*(m - 1)/13
Find q such that -q**2/4 + 519*q/4 = 0.
0, 519
Suppose 5*b**3 + 365*b**2 + 6840*b + 6480 = 0. What is b?
-36, -1
Suppose -c**2 + 3*c + 18 = 0. Calculate c.
-3, 6
Factor 48*l**3/5 - 24*l**2 - 861*l/5 - 882/5.
3*(l - 6)*(4*l + 7)**2/5
Find j such that -j**3/10 - 11*j**2/10 - 7*j/10 + 147/10 = 0.
-7, 3
Determine q, given that -q**3/4 + 11*q**2/4 - 8*q + 7 = 0.
2, 7
Factor 2*c**2/5 + 504*c + 158760.
2*(c + 630)**2/5
Determine a so that 2*a**3 + 32*a**2 + 118*a + 88 = 0.
-11, -4, -1
Determine j, given that j**3/4 + 4*j**2 - 35*j/4 + 9/2 = 0.
-18, 1
Let 3*p**5 + 27*p**4 + 30*p**3 - 108*p**2 - 168*p = 0. Calculate p.
-7, -2, 0, 2
Factor -3*n**4 - 27*n**3 + 30*n**2.
-3*n**2*(n - 1)*(n + 10)
Determine p so that -p**3/4 - 111*p**2/4 - 55*p/2 = 0.
-110, -1, 0
Suppose -a**3 - 14*a**2 + 385*a - 1450 = 0. What is a?
-29, 5, 10
Let -5*p**5 + 75*p**4 - 360*p**3 + 540*p**2 = 0. Calculate p.
0, 3, 6
Factor x**2 + x.
x*(x + 1)
Factor -2*o**3 - 142*o**2 - 1238*o - 1098.
-2*(o + 1)*(o + 9)*(o + 61)
Solve 3*r**4/2 - 24*r**3 + 96*r**2 = 0 for r.
0, 8
Factor 3*b**3/4 + 7489*b**2/4 + 1168752*b + 389376.
(b + 1248)**2*(3*b + 1)/4
Suppose 4*a**3 - 368*a**2 + 724*a - 360 = 0. What is a?
1, 90
Factor -h**2/8 + h/2 + 35/2.
-(h - 14)*(h + 10)/8
Factor 2*b**4/7 + 10*b**3/7 + 12*b**2/7 - 8*b/7 - 16/7.
2*(b - 1)*(b + 2)**3/7
Solve 27*s**5/5 + 66*s**4/5 + 51*s**3/5 + 12*s**2/5 = 0 for s.
-1, -4/9, 0
Factor 729*c**5/4 + 486*c**4 - 783*c**3/4 - 2219*c**2/2 - 49*c + 686.
(c - 1)**2*(9*c + 14)**3/4
Suppose y**4/3 + 13*y**3/3 - 119*y**2 + 1715*y/3 - 1372/3 = 0. Calculate y.
-28, 1, 7
Determine l, given that -2*l**2 + 50*l + 1800 = 0.
-20, 45
Factor 2*f**4 - 92*f**3 + 962*f**2 + 2208*f + 1152.
2*(f - 24)**2*(f + 1)**2
What is y in 2*y**5/5 - 132*y**4/5 + 256*y**3/5 + 4*y**2/5 - 258*y/5 + 128/5 = 0?
-1, 1, 64
Factor 3*k**2/5 + 438*k/5 + 15987/5.
3*(k + 73)**2/5
Solve 2*g**5/11 - 18*g**4/11 + 16*g**3/11 = 0 for g.
0, 1, 8
Solve -3*y**3 - 3411*y**2 = 0 for y.
-1137, 0
Factor 3*m**4 - 84*m**3 + 297*m**2 - 216*m.
3*m*(m - 24)*(m - 3)*(m - 1)
Find y such that 3* | {
"pile_set_name": "DM Mathematics"
} |
mine b(-9).
-13
Let d(m) = -16*m + 40. Let n(r) = -3*r + 8. Let t(o) = -2*d(o) + 11*n(o). Suppose 3*v - 57 = -42. Give t(v).
3
Let h(o) = o. Let m(u) = -u - 1. Let t(y) = 5*h(y) + m(y). Let z = 697 - 699. Determine t(z).
-9
Let k(s) = -s**3 - 6*s**2 - 2*s + 2. Suppose 0 = -7*v + 2*v + 280. Suppose 2*m + v = 6*m. Let b be 105/(-49) + 2/m. Give k(b).
-10
Suppose -4 = -2*y + 6*y. Let a(p) = p**3 - p**2 + p - 1. Let h(j) = -j**3 + j**2 + 2*j. Let n(z) = y*h(z) + a(z). Calculate n(2).
5
Let q(u) = -u**2 + u. Let n be (5/10)/(1/(-4)). Let p(f) = -f**3 + 7*f - 2. Let z(c) = n*q(c) + p(c). Let y = -224 + 227. Calculate z(y).
4
Let p = 2121 + -6361/3. Let b(w) be the second derivative of 11*w + 0*w**2 + p*w**3 + 1/4*w**4 + 0. Calculate b(-3).
15
Let r(p) = -8*p**3 - p**2 + p - 2. Let s(t) = 31*t**3 + 4*t**2 - 4*t + 9. Let q be 36/21 - 2/(-7). Let c(o) = q*s(o) + 9*r(o). Let z = 2 + -1. What is c(z)?
-10
Let f(h) be the third derivative of 0 + 0*h + 1/6*h**3 + 1/120*h**6 - 1/20*h**5 - 1/8*h**4 + 21*h**2. What is f(2)?
-9
Suppose -7 = 2*g - 13. Let p(n) = -3*n**2 - 4*n + 2. Determine p(g).
-37
Let p(b) be the first derivative of b**3/3 + 3*b**2/2 - 2*b - 3. Let k be p(-4). Let h(g) = g + 1. Let c(m) = -3*m. Let f(s) = c(s) + 2*h(s). Calculate f(k).
0
Let m(n) = -n + 7. Let p be (15*(-6)/9)/(-2). Suppose 5*b + 0*b = -p*c - 20, 5*b + 16 = -4*c. Suppose b = -11*w + 9*w. Determine m(w).
7
Let g(p) = p**3 + 7*p**2 - 6*p + 11. Let s be (-6)/14*14/4*-2. Suppose -12 = -t + 14. Suppose -s*q = -2*x - 31, 0*x + 2*x - 2*q + t = 0. Calculate g(x).
-5
Let g(u) = 19*u + 6 - 12 - 5. Let y be g(1). Let a(w) = -w**2 + 8*w - 1. Calculate a(y).
-1
Let v(s) = -12*s + 3. Let k(h) = 11 + 7*h**2 + 11*h - 9*h**2 - 3. Let d be k(6). Give v(d).
-21
Let d(n) = -n**3 + 5*n**2 + 2. Let x be d(5). Let h(l) = 8*l**2 - 5*l + 3. Give h(x).
25
Let h be 6/((-6)/5) + (-3 - -2). Let k(z) = z**2 + 5*z + 9. Calculate k(h).
15
Suppose q = 3*q - 12. Let c(f) = 21. Let w(g) = g + 62. Let l(t) = -7*c(t) + 2*w(t). Let o(k) = k - 11. Let a(s) = q*l(s) - 13*o(s). Calculate a(0).
5
Let u be 1/((-3)/(-11)) - (-28)/21. Suppose l = -4*f - 9, 3*f - u*l + 11 + 13 = 0. Let q(n) = 5*n + 2. What is q(f)?
-13
Suppose -5*m + 86 + 9 = 0. Suppose 0 = -5*v + 4 - m. Let i(h) be the third derivative of -h**6/120 - h**5/20 + h**4/12 + h**3/6 + 45*h**2. Give i(v).
-5
Suppose 304*r = 292*r. Let u(t) = t**3 - t**2 - t + 18. Determine u(r).
18
Suppose 4*n + 3*k = 2*n - 12, -3*n + 4 = -k. Let a(j) = -28 + 14 - 2*j + n*j. What is a(-11)?
8
Let q(i) = 2*i**3 + i - 7*i + 6 - 3 + 4*i + 3*i**2. What is q(-3)?
-18
Let d be -6*((-11)/(-3) - 3). Let x be d/(-3)*(-24)/(-16). Let w(r) = 0*r**2 + 2*r - 5*r**3 - r**2 + 1 - x. Give w(1).
-5
Suppose 14*p = -49 - 7. Let l(t) = 5*t**2 + t - 11. Let u(o) = -4*o**2 + 10. Let q(r) = 5*l(r) + 6*u(r). Give q(p).
1
Let x(t) = t**3 + 9*t**2 + 7*t - 6. Let f = -1126 - -1118. What is x(f)?
2
Let m(f) be the third derivative of -2 - 31*f**2 + f**3 + 0*f - 1/12*f**4. Let x = 13 + -8. Give m(x).
-4
Suppose -3*v - 21 = -3*c, -5*v - 27*c = -31*c + 32. Let t(j) = -j**3 - 3*j**2 + 3*j - 3. Give t(v).
1
Let r(g) be the third derivative of 0 + 12*g**2 + 0*g**3 + 0*g - 1/24*g**4. Determine r(0).
0
Let c(y) = -7*y**2 - 3*y + 4. Let s(n) = -n**2 + n - 1. Let a(k) = c(k) + 3*s(k). Determine a(-1).
-9
Let t(a) = -a**3 + 6*a**2 - 6. Suppose 4*i - 45 = 3. Suppose -j = -6*j - 30. Let m = i + j. What is t(m)?
-6
Let n(a) be the second derivative of -2*a**5/15 + a**3/6 + 6*a**2 - 9*a. Let m(g) be the first derivative of n(g). What is m(1)?
-7
Let r(f) = -9*f - 7. Let t(k) = -12*k - 10. Let m(u) = 7*r(u) - 5*t(u). What is m(6)?
-17
Suppose 0*o - 6 = -o. Let y(q) be the third derivative of -q**4/24 - q**3 + 2*q**2. Let w(g) = -g - 7. Let p(l) = -4*w(l) + 5*y(l). What is p(o)?
-8
Let d(k) = k**2 + 4*k - 63. Let v be d(-10). Let r(p) = -p**2 - 2*p - 1. What is r(v)?
-4
Let t be 1/(-6) + (-3 - (-2596)/24). Let c(v) = -6 + 2*v**2 - 3*v**2 + t*v - 97*v. Suppose 0 = -0*y - 2*y + 14. Determine c(y).
1
Let y(x) = x**3 - 11. Let h be (-2)/10 + (-11)/(-5). Let q(t) = -h*t + 0*t - 4*t + 5*t + 11. Let r be q(11). What is y(r)?
-11
Let v(j) = 12*j. Suppose -g + 13 - 9 = 0. Suppose -g*h - 4 = -0*h - c, 5*c - 20 = h. Suppose 3*y - 6*y + x + 8 = 0, -2*y - x - 3 = h. What is v(y)?
12
Let p = -391 + 387. Let w(j) = -j**2 + j + 3. Give w(p).
-17
Let h(o) = o**3 - o. Let r(t) = 2. Let f(c) = h(c) - r(c). Give f(0).
-2
Let o(k) = 2*k**2 - 2*k + 4. Suppose 12 = -5*b + m + 36, 2*b - m = 12. Give o(b).
28
Let p = -19 - -10. Let k = 10 + p. Let r(a) = 2*a + 11*a - 4*a - 8*a + k. Give r(2).
3
Let c = 15 + -10. Let s(d) be the second derivative of -d**5/40 + d**4/4 + 4*d**3/3 - 15*d. Let o(p) be the second derivative of s(p). Calculate o(c).
-9
Let m(j) = 2*j + 2. Let h = 57 - 22. Let l be 2/(-8) + h/(-20). Determine m(l).
-2
Suppose -4*y = 3*a - 11 - 1, -15 = -5*y + 5*a. Let r(b) be the first derivative of -3*b**2 - 4*b + 1 - 1/3*b**y. Give r(-6).
-4
Let b(v) = -v - 1. Suppose -3*i + 6*i - 12 = 0. Suppose 0 + 3 = c + n, c - i*n = 3. Suppose 0*d + c*d - 15 = 0. Determine b(d).
-6
Let u = -13 - -13. Let o(b) = -b**3 - 3*b**2 + 5*b + 3. Let w be o(-4). Let h = w - u. Let v(d) = 8*d**3 - d**2. Determine v(h).
-9
Let y(a) = a**2 - 9*a + 9. Let d(g) = -g**3 - 3*g**2 + 2*g - 2. Let m(s) = -2*s**2 + 18*s - 4. Let t be m(9). Let i be d(t). Give y(i).
-9
Suppose -2*h + 1 = 3*u, -h = -2*u - 1 - 3. Let n(x) = x**3. Let j(k) = 5*k**3 - k**2 - 1. Let l(f) = -j(f) + 4*n(f). Calculate l(h).
-3
Let f(d) = 2*d**3 + 16*d**2 + 13*d - 10. Let j be f(-7). Let x(h) = 2*h + 3. Determine x(j).
-3
Let n(w) = -w + 4. Let g be n(-6). Let z = -6 + g. Let k(m) = 48*m**3 - 6*m**2 + 5*m + 4 - 1 - 47*m**3. Determine k(z).
-9
Suppose -4*w + 78 = 14. Let f = -21 + w. Let i(y) be the second derivative of -y**3/6 - 3*y**2/2 + 3*y - 1. Calculate i(f).
2
Let s(p) = -13 - 10*p**2 - 11*p**2 - 3*p**2 + 10*p + 25*p**2. Give s(-11).
-2
Let c(k) = k**2 - 3*k - 14. Suppose -l + 2 = f, -5 + 47 = 5*f - 3*l. Calculate c(f).
4
Let t(u) = -15*u**2 - 1. Let w(d) = d**3 - 6*d**2 + 4*d + 21. Let v be w(5). Let n be (-18 + v)*(-1)/(-4)*2. Determine t(n).
-16
Let f(z) = -z - 12. Let r = -650 + 657. Calculate f(r).
-19
Let b(i) be the second derivative of -i**5/30 - i**4/12 - i**3/6 - i**2 + 9*i. Let n(s) be the first derivative of b(s). What is n(-1)?
-1
Let a(p) = p**3 + 8*p**2 + 10*p + 1. Let b be a(-7). Let n(h) = -3*h + 52. Let d be n(23). Let o = d - b. Let w(j) = -2*j**2 + 5*j - 2. Give w(o).
-5
Let y be ((-4)/3)/((-6)/27). Let l(x) be the third derivative of -x**6/120 + x**5/10 + x**4/24 + 2*x**2 + 450. Calculate l(y).
6
Let y(h) = h. Suppose -4*q + 20 = 0, -5*i - 2*q = 2*q - 130. Let x = i + -19. Suppose -x*a - a = -16. Determine y(a).
4
Let a = 1 + -6. Let t(z) = z**2 + 24*z + 10*z**2 + 6*z**3 + 7*z**3 + 4*z**2 + 7. Let d(w) = 3*w**3 + 4*w**2 + 6*w + 2. Let h(n) = 9*d(n) - 2*t(n). Give h(a).
-1
Let z(r) = -r**3 + 3*r**2 + 5*r - 6. Let g(y) = y**2 - 8*y - 5. Let u be g(9). Let h(m) = -m**3 + 5*m**2. Let x be h(u). Suppose -24 = -2*o - x. Calculate z(o).
-2
Suppose -5*j - t = -0*t - 35, 5*j - 35 = 5*t. Let u(z) = -7*z - 1. Let d(a) = 8*a + 1. Let c(o) = 6*d(o) + 7*u(o). Determine c(j).
-8
Let s(h) = 2*h**2 + 5*h + 3. Suppose 0 = -3*l + 6, -j + l = -0*l. Let f be -4 + 4 - 1 - j. Determine s(f).
6
Suppose -4*d + 33 = 3*s + 3, -4*s - 4*d + 36 = 0. Let g(v) = v**3 - 5*v**2 - v - 6. What is g(s)?
24
Let w(q) = 2*q**2 + 5*q - 4. Let t(p) = -2*p**2 + 4*p - 5. Let y be t(0). Calculate w(y).
21
Let p(t) = 2*t + 27. Suppose 3*o = -4*w - 28 - 18, -o - 37 = 3*w. Give p(w).
1
Let t(y) = 3*y + 2. Let a(x) = -x**2 + 24*x + 5. Let z(o) = -a(o) + 6*t(o). Let d = -1 - -7. Calculate z(d).
7
Let l(r) = r - 7 + 9 + 0*r. Let k(y) = -y**2 + 12*y - 12. Let a be k(9). Suppose -2*i + a = i. Calculate l(i).
7
Suppose 200*i - 195*i = 10. Let h(c) = 2*c**2 - 6*c + 6. Determine h(i).
2
Suppose -19 = -4*w - 11. Let a(p) = -2*p**3 - 2*p**2 + 2*p**w - 4*p**2 + 3*p**2 + 1. Suppose -2*h = 2*o - 8, 21 = 2*h - 3*h + 4*o. Determine a(h).
2
Let z(t) = -11*t**2 + 2*t - 5. Let g(d) = 10*d**2 - 2*d + 4. Let q(i) = 5*g(i) + 4*z(i). What is q(1)?
4
Suppose -7*f + 27 + 155 = 0. Let w = -21 + f. Let t(k) = -k**3 + 5*k**2 - k - 3. | {
"pile_set_name": "DM Mathematics"
} |
*t**3 + t**2 + t - 1. Let h be y(1). What is the nearest to h in g, 5, -2?
-2
Let a(x) be the second derivative of -5*x**3/6 - 9*x**2 - 14*x. Let u be a(-4). Let w be (4 - 58/14)/(u/(-4)). What is the nearest to 0.3 in w, 4, -1/5?
w
Let i be (-4)/6 - (-1262)/48. Let x be 8/(-4)*((-34671)/(-240))/(-13). Let w = i - x. Which is the closest to w? (a) -3 (b) -2/11 (c) 2
c
Let w = 95.901 + -96. Let y = -2.099 - w. Let h = 0.3 + -0.1. Which is the closest to -1? (a) y (b) h (c) -5
a
Let s = -5648 - -16943/3. Let j = 47/2 + -24. What is the nearest to s in -2.9, 0.1, j, -3/7?
-3/7
Let v = 6 - 1. Let y = 4.5 - v. Let p = -1524.2 + 1524. Which is the closest to y? (a) 0.4 (b) -0.5 (c) p
b
Let r be 2/(-10) - (6 + (-4264)/(-455)). Let c = r - -115/7. What is the closest to -1 in 1, c, 3, 3/4?
3/4
Let z = 924 - 923. What is the nearest to z in 1.06, -36, -2?
1.06
Let k = 0.5944 - 0.8944. What is the closest to -0.6 in k, 0, 2/15?
k
Let m = 14.4 + -14. Let o = -772 + 777. Which is the closest to 0.1? (a) o (b) -4 (c) m
c
Let d = 14/5 - 51/20. Let q = -15 + 14. Let k = 8.6 + -9. Which is the nearest to d? (a) q (b) k (c) 3/7
c
Let f = 37623 + -149715/4. Let i = -194 + f. Suppose 5*k = 0, -2*z + 3*k - 2 + 0 = 0. What is the closest to i in 2/13, 0.2, z?
0.2
Let v = -48157 + 47859.945. Let x = 294 + v. Let k = -0.055 - x. What is the closest to -1/4 in -0.03, -0.1, k?
-0.1
Let g = -74.202 - -11.202. What is the nearest to -1 in g, -0.4, 2, 3/7?
-0.4
Let u = 0.4 - 0.3. Let n = -251 - -59. Let f = n - -193. Which is the closest to -2/5? (a) -4 (b) u (c) f
b
Suppose -5 = v + 3. Let s be 1 + 0 - 2/v. Suppose 0 = -5*m - a + 7, -41*m + 43*m + 35 = 5*a. What is the nearest to m in -1/12, s, -1?
-1/12
Let i = 101/3 + -33. Let v = 134 - 133.946. Let u = v - 1.054. Which is the closest to i? (a) -7 (b) 2 (c) u
b
Let o = -5484 + 27422/5. Which is the closest to o? (a) 0.1 (b) -0.3 (c) 82 (d) -0.5
a
Let k = 16726 + -150532/9. What is the nearest to 281 in k, 1, -5?
1
Suppose -3*m + 5*k + 75 = 0, -5*m + 2*k + 21 + 66 = 0. What is the closest to 9 in -2/5, m, -9?
m
Let t(z) = -10003*z + 20006. Let k be t(2). Let m = -125/4 - -30. Which is the nearest to 0? (a) 4/5 (b) k (c) m (d) 5
b
Suppose 26*m + 1857 = 1857. What is the closest to m in 5/4, 0.011, 36?
0.011
Let d = -85.4 - -98. Let v = d + -12.8. Which is the closest to 1? (a) -5 (b) 8 (c) v
c
Let y = -6144 + 6143. Let t = 239/9 - 79/3. What is the nearest to 0 in t, -6, y, 0.4?
t
Let x be (-1)/(-1 - 0)*(-38 - -39). What is the closest to -1/4 in x, 1/4, -21, 0.1?
0.1
Let k = -103614 + 103614.1. Suppose 0 = p + 3*p. Let z be p + 4/(-3) + 2. What is the closest to k in z, -1, -0.7?
z
Let m be 3 - (42/10 - 1). Let x = 396467/1649 - 2/11543. Let l = x - 241. Which is the nearest to -2? (a) l (b) m (c) 1/4
a
Let f = -268 + 267.24. Let k = f + 0.86. Let v = 3.1 - 3. Which is the closest to k? (a) v (b) 0.4 (c) 0.5
a
Let s = 3970 - 4019. Let m = -133 - -130. Which is the nearest to 2? (a) m (b) 5 (c) s
b
Let z = 8453/3 + -2818. What is the nearest to 1/4 in -3/7, z, 5/3, 4?
z
Let q be -1*(-629)/340 + (-60)/(-25) + -2. Which is the nearest to q? (a) 0.55 (b) 1 (c) -2/17
b
Let u = 23717 - 23712. What is the nearest to -0.1 in -1.2, -0.12, u?
-0.12
Let t(o) = o**2 + 6*o. Let u be t(-5). Let k = 103135 + -103135. What is the closest to u in 3, k, 6?
k
Let i be 6 - (2 + 10)*(-6)/(-8). Let w be (-115)/2*2*-1. Let r be 0 - (i - w/(-40)). Which is the nearest to r? (a) -2 (b) -1 (c) 1/4
c
Let s be 24/3*27/756. Which is the nearest to 0.7? (a) -222 (b) -0.1 (c) 0.2 (d) s
d
Suppose 5*d + 9 = 2*d, k - 2*d - 7 = 0. What is the closest to 0.2 in 1/2, k, 1/7, -2/13?
1/7
Let o = -3.8 + 0.8. Let h = -48855.8 + 48856. Let z be ((-2)/7)/(-2)*2. Which is the closest to h? (a) z (b) -2 (c) o
a
Let t = -12.79 - 0.21. Let u = t - -8. Suppose 34 = -4*q - 5*s - 2, 2*q + 5*s + 28 = 0. What is the closest to 2/5 in u, 0.2, q?
0.2
Let l = -0.00891 - -0.14891. What is the closest to -0.1 in 4, l, 1.1?
l
Let l be -3 - (-872)/(-763)*7/(-3). What is the nearest to l in 1/8, 2/3, 2, 2/15?
1/8
Let b = 249.829 - 250. Let s = 0.171 + b. Suppose 0 = -4*j - 20, 0 = 2*r + j + 3. What is the nearest to s in r, 2/11, 1/2?
2/11
Let f = 4703 - 42329/9. Which is the closest to -0.2? (a) 0 (b) 2 (c) f (d) 1/3
c
Let v = 1/14666 + 3665/21999. Which is the closest to -86? (a) v (b) 4 (c) 1.8
a
Let j = -5384 + 5383.7. Let s = 0.74 - -0.06. Let w = s - 0.8. Which is the nearest to w? (a) j (b) -0.5 (c) -2
a
Let m = -0.1 + 0. Let n = -1.69 - 9.01. Let l = n + 10.7. Which is the nearest to m? (a) l (b) 0.4 (c) -2
a
Let c be 1*(0 - (-15)/(-9)). Let x be ((-2)/(-216)*6)/(12/(-16)). What is the nearest to -1 in x, c, -1/4?
c
Let v = 3787.8 + -3788. Which is the closest to 0.43? (a) 0 (b) 1/3 (c) v (d) 0.8
b
Let i = 0.34 - 8.34. Let r = i - 30. Let u = r - -37. What is the closest to u in 0, 1/3, -3?
0
Suppose -w - 3*y = 378, -7*w + 2*w + 5*y = 1810. Let q = 2561/7 + w. Which is the nearest to -5? (a) 0.4 (b) q (c) -2
c
Let i = 34.5 + -34.7. What is the closest to i in -2, -3/4, 5?
-3/4
Let z = -35.7 - -35.5. Let u be (-1)/(-2) + 7/(-8). Let t = 41.6 + -42. What is the closest to z in t, 3, u?
u
Let p be -2 + 1/(-4)*(-372)/(-15). Let i = p + 43/5. Let u be 2*(-9)/24 - 18/8. What is the closest to i in u, 0.01, -2/7?
0.01
Let o = -227/41 + 1217/205. What is the nearest to -1/4 in 31, 5, o?
o
Let y = -0.234 + -113.766. Let k = 113 + y. Let p = 6.5 - 7. What is the nearest to k in 0.2, p, -6/5?
-6/5
Let m = 596.52 - 598.52. Let z be (-22)/80 - (-4)/10. Let n = -11 - -10.8. Which is the nearest to n? (a) -4 (b) z (c) m
b
Let k = 4627 + -4431. Which is the nearest to k? (a) -1 (b) -2 (c) -5
a
Let j = 2 - 2.4. Let g = -126 + 126. Which is the nearest to g? (a) j (b) -1/3 (c) 1 (d) 0.5
b
Let t = -171/5 + 103/3. Let y = -4469 + 4468.9. What is the closest to y in t, 0, -2/7?
0
Let c = -1435/5741 + -1/22964. What is the closest to 1 in c, 0.4, -2, 3?
0.4
Let r = -4.88 + -0.12. Let n = -11.1 + 45.4. Let y = n + -34. Which is the closest to 0.1? (a) -2/7 (b) y (c) r
b
Let y = -1 - 12. Let z(h) = 2*h**3 - 11*h**2 + 17*h - 55. Let q be z(5). Let v(n) = -n + 9. Let x be v(7). Which is the nearest to -0.1? (a) y (b) x (c) q
b
Let d = -2645 - -2665. What is the nearest to d in -4, -5, -2/5?
-2/5
Let r be -2 - 1/(-3)*(-1547)/(-259). Let a = 38/111 + r. What is the closest to a in 2/3, 2/9, -7/4?
2/9
Let o = -141.2 - -141. Let l = 1055 + -1055.1. What is the closest to -0.1 in l, 1, o?
l
Let t = 1 + -3. Let v be ((-3)/(-4))/((-2)/(-4)). Let s be (-489)/630 + 1 + (-85)/6 + 14. What is the nearest to -2/3 in s, t, v?
s
Let h = 4293.9 + -4254.846. Let s = h - 39. Let g = s + -1.054. Which is the nearest to g? (a) 0.4 (b) -0.3 (c) 0
b
Let j = 753/8 + -94. Let r = -62 - -62.1. Which is the nearest to r? (a) -1 (b) 3 (c) j
c
Let d be (0 - 2/(-9))*15/(-2). Let f = -1.112 - -0.112. What is the closest to 0 in 0.2, f, -0.13, d?
-0.13
Let w(v) = 2*v**2 + 51 + 52 - 8*v - 107. Let o be w(8). Let j be (10/(-8))/((-15)/o). What is the closest to 2/7 in j, 3, -1?
-1
Let z be 4/6*(0 - -1). Let w = -47921 + 47915. Which is the nearest to -0.1? (a) -2/9 (b) w (c) z
a
Let f = 0.02 + -0.08. Let x = -21485 + 21487. What is the nearest to x in f, -3/7, -3, -2/7?
f
Let y = 2/781 + -1588/10153. Let n = -5.8 + 6. Which is the nearest to -2/23? (a) y (b) 3 (c) n
a
Let k = -0.58 - -0.68. Let f(m) = -m**2 + 5*m - 6. Let v = -22 + 26. Let r be f(v). Which is the closest to k? (a) -0.4 (b) 1 (c) r
a
Let n = 0.3 - 0.4. Let s be (235 - 236)*(-11 + 6). Which is the nearest to n? (a) s (b) 4 (c) 0.4
c
Let i = -0.322 + 0.722. Let a = 52 + -157/3. What is the closest to a in 5, 1, i?
i
Let h = 75 - 71. Let s be h/(-8)*(-15 - -7). Let y = -91 + 91.3. Which is the closest to 4? (a) y (b) s (c) -2
b
Let t = -0.19315 - -0.29315. Let m = 1.1 - 0.1. Let p(n) = -n**2 - 6*n + 2. Let u be p(-6). Which is the nearest to m? (a) -0.2 (b) u (c) t
c
Let o = -2/857 + 1728/5999. What is the nearest to 1 in o, 358/7, -0.2?
o
Let z = -1283478.06 - -1272501. Let k = z - -11080. Let b = k + -103. What is the closest to -2/3 in -2/9, b, | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of d.
7
Let c = 6 + -3. Suppose 2*k - 26 = -q - k, k - 62 = -c*q. Suppose 0 = -2*h + 5*j + q + 6, 3*h + 2*j - 1 = 0. List the prime factors of h.
3
Suppose -g + 3*n = 6, 4*g + 0*g + 2*n = 32. List the prime factors of g.
2, 3
List the prime factors of 8/16 + 13/2.
7
Suppose 4 = 4*i - 2*i. Suppose 10 = 3*t - i. Suppose -2*y = -t*y + 3*c + 27, -4*y = -3*c - 57. List the prime factors of y.
3, 5
Suppose -4*l + 40 = 8. Suppose -3*s - l = -26. List the prime factors of s.
2, 3
Suppose 5*c - b = c + 24, 4*b - 24 = -4*c. List the prime factors of c.
2, 3
Suppose 7*l = -5*l + 24. What are the prime factors of l?
2
Let d(q) = -q**3 - 3*q**2 + q + 1. Let h(l) = l**2 + 2*l. Let g be h(-4). Let m be (g/6 + -2)*6. List the prime factors of d(m).
13
Let r(b) = 0*b + 2*b - 8 - 3*b. Let f be r(7). Let k = 21 + f. What are the prime factors of k?
2, 3
Let j(d) = 2*d**2 + 20*d + 22. List the prime factors of j(-15).
2, 43
Let w = 0 - 2. Let q = 3 - w. Suppose q*n - 7*s - 5 = -2*s, -19 = -n - 5*s. What are the prime factors of n?
2
Let x(u) be the first derivative of 3*u**2/2 - 5*u + 3. List the prime factors of x(5).
2, 5
Let b(j) = -j**3 + 5*j**2 + 8*j - 9. Let c be b(6). Let l = 14 + c. What are the prime factors of l?
17
Let a be (12 - 0)/((-9)/6). Let r(o) = 2*o - 17. Let h(n) = -n + 16. Let j(s) = -6*h(s) - 5*r(s). List the prime factors of j(a).
3, 7
Let i be 0 + (5 - 2 - 15). Let q be (-80)/i - 4/6. Let d = 3 + q. List the prime factors of d.
3
Let b(f) = 41*f. List the prime factors of b(1).
41
Suppose 5*z - 1 - 1 = -m, -4*m + 8 = -3*z. Suppose 3*b + 30 = -m*b. Let t = b + 10. What are the prime factors of t?
2
Suppose 2*c = -3*i + 11 - 2, -2*c + 17 = -5*i. Let x be 140/18 + 4/18. Suppose -4*w = -c*w + x. What are the prime factors of w?
2
Suppose -16*f - 408 = -19*f. List the prime factors of f.
2, 17
Let i(w) = w**2 + 3*w - 2. List the prime factors of i(3).
2
Suppose c = -5*c + 120. What are the prime factors of c?
2, 5
Suppose -4 = s + 8. Let z be -5*1*s/15. Suppose h - 30 = -z*h. List the prime factors of h.
2, 3
Suppose 3 = 4*x - 5. List the prime factors of x.
2
Let r(o) be the second derivative of 1/6*o**3 - 3/2*o**2 + 0 + 1/20*o**5 + 5/12*o**4 - o. What are the prime factors of r(-3)?
2, 3
Suppose 2*k - 4*o = -12, 4*k + o - 4*o = -19. Let n(c) = -c + 3. List the prime factors of n(k).
7
What are the prime factors of (0 + ((-4)/(-8) - 0))*234?
3, 13
Suppose -2*x = -5 - 11. Let g(j) be the second derivative of -j**4/12 + 4*j**3/3 + 5*j**2 + 2*j. List the prime factors of g(x).
2, 5
Let i(h) = -h**2 - h + 2. Let n be i(0). Let a(g) = g**2 - 2*g - 11. Let t be a(5). Suppose n*k - t*k = -24. What are the prime factors of k?
2, 3
Let r(h) = 35*h**2 + 7*h + 2. What are the prime factors of r(2)?
2, 3, 13
Let o be 4/10 + 9/15. Let y be 9 + -1 + -4 + o. Suppose y*n + 2*k - 80 = -3*k, -n + 10 = -5*k. List the prime factors of n.
3, 5
Suppose 1069 = 7*o - 695. What are the prime factors of o?
2, 3, 7
Suppose 18 = s - 10. What are the prime factors of s?
2, 7
Suppose 2*b + 58 = t, 2*b = 4*t - 243 + 41. What are the prime factors of t?
2, 3
Let s(g) = 15*g + 2. List the prime factors of s(9).
137
Let l(b) = -b - 2. Let j be l(-5). Suppose 7 = -4*q + 27. Suppose 0 = -q*a - j*x + 37, -3*a - 3*x = 2*x - 19. List the prime factors of a.
2
Suppose -n + 17 = -2. Suppose -4*k + n + 25 = -5*z, -z = -k + 8. List the prime factors of (9/z)/(3/(-12)).
3
Let x = -11 + 12. Let s(j) = 1 + 8*j + 0 + 2*j. What are the prime factors of s(x)?
11
Suppose 8 = -2*s, 16 = 3*k - 4*s - 18. List the prime factors of k.
2, 3
Suppose 2*i - 15 = -3*i. Suppose -f + 2*v = 3*v - 15, -3*v = -i. List the prime factors of f.
2, 7
Let v(s) = s**2 + 8*s - 1. List the prime factors of v(-12).
47
Let n be 70 + 11 + 6 + -3. Let z(h) = h**3 + 4*h**2 + 3*h + 3. Let m be z(-2). Suppose m*a - n = a. What are the prime factors of a?
3, 7
Let p = -54 - -76. List the prime factors of p.
2, 11
Let z(q) = 3*q**2 - 5*q - 25. List the prime factors of z(7).
3, 29
What are the prime factors of (12*1)/(3/9)?
2, 3
Let x = -150 + 210. Suppose x = 4*l - 4. List the prime factors of l.
2
Let a(m) = m**3 - 13*m**2 - 12*m - 3. Let j be (-2)/3*(1 + -22). What are the prime factors of a(j)?
5
Suppose -l + 3*l = 2*f + 26, 5*l = 2*f + 74. What are the prime factors of l?
2
Let m be (-358)/12 - 2/12. Let a = 21 + m. Let y = a + 17. List the prime factors of y.
2
Let q(u) = -u**3 + 2*u**2 + 2*u - 2. Suppose r - 4 = -2. List the prime factors of q(r).
2
Suppose 0 = -4*p + 5*x + 8, -4*p = -2*x + 4*x - 8. Suppose o + 4 = 6*o - 3*a, p*a - 2 = o. List the prime factors of o.
2
Let f = 507 - 313. List the prime factors of 8/44 + f/22.
3
Suppose -5*x - 1 = -21. What are the prime factors of 2*1/x*12?
2, 3
Let j be (1 + 2)/((-3)/(-12)). Suppose -5*z - 53 = -5*l + j, -4*l = 2*z - 34. What are the prime factors of (l/(-8))/(4/(-48))?
3, 5
Let j = -80 + 91. List the prime factors of j.
11
Let j(y) = y + 1. Let v be j(0). List the prime factors of v/((-2)/(-6)) + 1.
2
Let w(n) = -n**3 - 3*n**2 + n + 1. Suppose -11 = 3*m - u, -5*u - 16 - 9 = 5*m. What are the prime factors of w(m)?
13
List the prime factors of (14/(-5))/((36/210)/(-3)).
7
Let v(k) = k**3 - 2*k**2 + 1. Let i be v(1). Suppose 11 = -4*l - 3*q - 0*q, -3*l + 2*q + 13 = i. Let n = 2 + l. List the prime factors of n.
3
Let x = 1 + 1. Let w = x - -10. What are the prime factors of w?
2, 3
Suppose 0*f - 12 = 4*f. Let k be (3 - 4)*4/(-2). List the prime factors of (30/f)/(k/(-4)).
2, 5
Let g(i) = -i**3 - 4*i**2 + 2*i - 2. Let w be g(-4). Let b(n) = n + 5. Let u(c) = -c - 1. Let l(k) = b(k) + 2*u(k). What are the prime factors of l(w)?
13
What are the prime factors of ((-143)/22)/((-1)/4)?
2, 13
Suppose 165 = 5*n - 4*g, -g - 4*g = n - 62. Suppose 5*d = 2*q + 17, -9 = 2*q + 4*d - n. Suppose 5*f - 3*f - q = 0. List the prime factors of f.
2
Let h(a) = 0 + a**3 + 6 + 3*a**2 - 2. Let u be h(-3). Suppose -u*r + 9*r = 35. What are the prime factors of r?
7
Suppose -4*n = -6*n + 16. Let h(l) = -l**3 + 8*l**2 + 7*l - 12. What are the prime factors of h(n)?
2, 11
What are the prime factors of 64/(4 + 6/(-2))?
2
Suppose 0 = -13*w + 11*w - 20. Let o = 52 + w. List the prime factors of o.
2, 3, 7
Suppose 0 = v - 12 - 35. List the prime factors of v.
47
Suppose 3*s - 58 = -g, -3*g + 202 = -4*s - s. What are the prime factors of g?
2
Let r = 47 + 16. What are the prime factors of r?
3, 7
List the prime factors of (-3)/(-5) + 224/10.
23
Suppose 6*q = 349 + 215. What are the prime factors of q?
2, 47
Let m(v) = 2*v**2 - 9*v - 4. List the prime factors of m(11).
139
Suppose -62 - 46 = 4*h. Let w = -4 - h. List the prime factors of 6/(-12) + w/2.
11
Let i(u) = -u**3 + 13*u**2 - 10*u - 14. Let p be i(13). What are the prime factors of (p/27)/(2/(-12))?
2
Let r(o) = o. Let v be r(1). Let m be v/(-5) - 21/(-5). Suppose -m*y + 19 - 3 = 0, 4*w = -5*y + 56. List the prime factors of w.
3
Suppose 11 = 5*v - 19. Suppose 3*l = -2*l. Suppose 0 = -3*f - 2*b + 12, -5*f + b - v*b + 25 = l. What are the prime factors of f?
2
Suppose -4*q + q = 0. Suppose q = 5*u - 3*u - 32. List the prime factors of u.
2
Let y(t) = 18*t**2 + t - 1. Let c be y(1). Let o be c - (-2 + 0 + 2). Suppose 4*p + 2 - o = 0. List the prime factors of p.
2
Let r = -21 - -43. Suppose 5*q + r = 7*q. Let i = q - 7. List the prime factors of i.
2
Suppose -n - 4 - 2 = 0. What are the prime factors of (-4)/n*(-180)/(-8)?
3, 5
Suppose a - 18 = -n + 2*a, 5*a - 130 = -5*n. List the prime factors of n.
2, 11
Let n = -2 - -4. Suppose -n*t = -b - 4*t + 14, 23 = b - t. What are the prime factors of b?
2, 5
Let c(w) = -3*w - 4. Suppose 0 = -5*j - 5*f - 25, -2*j - 23 = -j - 5*f. What are the prime factors of c(j)?
2, 5
List the prime factors of 7/((-84)/8)*-18.
2, 3
Let i(u) = u**2 + u - 2. Let f be i(-3). Suppose f*y = 3*n - 4, -6*y - 3*n = -y - 22. What are the prime factors of 10 + -2*(y + -1)?
2
Let o = -9 - -16. Suppose -d - 11 = 3*b, -b = 4*d + 15 + o. List the prime factors of b/(-8) + 71/4.
2, 3
Let c be 4 + -3 + 2 - -1. Suppose 3*j = 2*i - 24, -4*i - c*j + 0*j = -8. List the prime factors of (i/4)/(1/4).
2, 3
Let b(o) = 3*o + 7. Let q(r) = 6*r + 13. Let t(p) = 7*b(p) - 4*q(p). Let h be t(-2). Suppose -h*m = -0*m - | {
"pile_set_name": "DM Mathematics"
} |
. Let w be 2/8 + 14/72. Sort q, w, 0.2 in increasing order.
q, 0.2, w
Let y(f) = f**2 + 5*f - 6. Let r be y(-6). Let u(a) = -a**2. Let q be u(r). Let i = 72 - 75. Put i, q, -2 in descending order.
q, -2, i
Let y(t) = -t**3 + 8*t**2 + 8*t + 10. Let r be y(9). Sort 7, r, -3.
-3, r, 7
Suppose -3*i + 2 + 10 = 5*b, b + 4 = i. Put i, 0, 2 in decreasing order.
i, 2, 0
Let m(h) be the first derivative of h**3/3 - h**2/2 - 2. Let b be m(0). Let g = b + 3. Sort 4, g, -2 in ascending order.
-2, g, 4
Suppose 4*g = 2*g, -3*h = -2*g + 15. Suppose 0 = -2*c - 3*f + 21 + 1, -5*f + 25 = c. Let t = 7 - c. Put 3, h, t in decreasing order.
3, t, h
Suppose 4*v + 13 = -3. Let l(q) = q + 6. Let s be l(-6). Let i(f) = f**2 - f + 2. Let m be i(s). Sort m, v, 0.3.
v, 0.3, m
Let q be 3 + 0 + 0 + -2. Put q, -3, 5 in decreasing order.
5, q, -3
Let c = 6944/23 + -302. Put 2, c, -0.3 in descending order.
2, c, -0.3
Let g = 0.3 - 0.2. Suppose 29 = 5*f + 5*i - i, 3*f - 10 = 5*i. Let d be f/((-25)/9) + 3. Put -1/10, d, g in ascending order.
-1/10, g, d
Let u = 2.945 - -0.055. Let z = -3 + 2.5. Let q = z + 0.3. Put q, -2, u in descending order.
u, q, -2
Let v(z) = z**3 + 2*z**2 - 4*z. Let n be v(-3). Sort 1, n, -5.
-5, 1, n
Let m = -4.3 - -4.8. Put -0.5, -0.4, m in increasing order.
-0.5, -0.4, m
Let u be 15/6 + 1/(-2). Let d(o) = -o**2 + 1. Let c be d(2). Put -5, c, u in descending order.
u, c, -5
Let f = -0.2 - 0.2. Let a = 0.2 + -0.2. Let l = f - a. Sort 0, l, 5 in descending order.
5, 0, l
Let x = 2 - 2. Sort x, 3, 1.
x, 1, 3
Let l(h) = -h**3 + 9*h - 4. Let b be l(-3). Suppose 2*q - 2*t - 8 = 0, -4*q - 5*t + 24 = -t. Put 0, q, b in decreasing order.
q, 0, b
Let a(r) = 11*r**3 + 2*r**2 - 2*r + 1. Let v be a(1). Let x be (-3)/v + (-33)/12. Let k(c) = c**3 + 3*c**2 + c + 3. Let j be k(-3). Sort j, x, -5.
-5, x, j
Suppose -4*b = -14 + 6. Let g be b/(-5) + (-68)/(-20). Sort -2, -3, g in increasing order.
-3, -2, g
Let i be (-12)/(-3) - (-12)/(-4). Put 5, i, -3 in decreasing order.
5, i, -3
Suppose -5 - 7 = 4*b - 4*g, 4*g - 20 = 0. Suppose 0 = -b*z - 0*z + 2. Sort 4, 0, z in descending order.
4, z, 0
Let z(b) = b - 4. Let v be z(2). Put 1/6, 2/3, 0.2, v in decreasing order.
2/3, 0.2, 1/6, v
Let x be 1 - 1 - (-16)/(-315). Let g = x + -6/35. Sort 6, -2, g.
-2, g, 6
Let a = 5 - 9. Let v = -2.4 + 2. Let h = 8/15 + -17/60. Put v, a, h in decreasing order.
h, v, a
Let m = 2 + 2. Let z = 2.85 - -0.15. Put z, m, -2/21 in descending order.
m, z, -2/21
Let v = -3310.9 + 3110. Let s = 191 + v. Let x = s + 10. Put -1, -6/5, x in descending order.
x, -1, -6/5
Let p be (-11)/(-33) + 8/3. Suppose 5*n = -0*n + 40. Suppose 2*j + 0*j + n = 0. Sort p, j, -2 in increasing order.
j, -2, p
Let c be (-6)/(-4)*(-92)/6. Let m = -89/4 - c. Put 1, m, -5 in ascending order.
-5, m, 1
Let s = 0.5 - 2.5. Sort s, 1, 2.
s, 1, 2
Let p(t) = 2*t**2 - t - 1. Let s be p(1). Put 3, 4, s in decreasing order.
4, 3, s
Let n be 2 - 5/(40/298). Let t = n - -36. Sort 1/4, 2, t in decreasing order.
2, t, 1/4
Let j(b) = 2*b + 5. Let x(h) = -9*h - 26. Let k(f) = 11*j(f) + 2*x(f). Let c be k(-2). Suppose -3*m + 1 = 13. Put c, 3, m in increasing order.
c, m, 3
Let w(y) = -y**2 + 14*y + 11. Suppose -41 = -3*s - 4*d, 0 = -3*s + 8*s + 2*d - 73. Let h be w(s). Sort -3, h, 2 in descending order.
2, -3, h
Let u be ((-1)/12)/(12/(-32)). Put 1/7, u, 2/11 in decreasing order.
u, 2/11, 1/7
Let l(g) = -g + 1. Let u be l(0). Suppose -3*o - 5 = -2*o. Let m = -8 - -13. Put m, u, o in descending order.
m, u, o
Let t = -0.06 + 1.06. Let g = -2 + 5. Let u = 0.2 - 0.7. Put t, u, g in decreasing order.
g, t, u
Suppose 0 = -7*h - 2*h + 36. Let c(g) = 2 + 6*g - 3*g - 2*g. Let v be c(-2). Put -2, v, h in decreasing order.
h, v, -2
Let r = -6.5 + 0.5. Sort r, -3, -5.
r, -5, -3
Suppose 4*d + 3*l - 7 = -19, -3*d - 4*l = 16. Suppose -5*t + t + 4 = d. Let s be 12/10 + (t - 3). Put -2/11, -1, s in descending order.
-2/11, s, -1
Suppose -k = -2*j, -3*j = 3*k - 4 - 5. Suppose 0 = -2*h - 3 - 3. Put h, j, -2 in decreasing order.
j, -2, h
Suppose -8*q + 9*q + 4 = 0. Sort -3, 4, q in increasing order.
q, -3, 4
Let w = 1551/110047 + -2/1393. Let q = w - -75/316. Sort -1/3, q, -1/4 in increasing order.
-1/3, -1/4, q
Suppose -s = -4*h - 5*s + 32, -5*h + 8 = -3*s. Sort -0.06, 1, 0.2, h in descending order.
h, 1, 0.2, -0.06
Let u = -1.6 - -2. Let q = 5 - 4.9. Sort -0.3, q, u.
-0.3, q, u
Let h be (-26)/(-7) + 4/14. Let m = 3 - h. Let t be (-1 - 7)*(-3)/12. Sort m, t, -4.
-4, m, t
Let j(t) = t**2 + t - 1. Let z be j(-2). Put 5, z, 2, -2 in increasing order.
-2, z, 2, 5
Let q(c) = -c**2 + 6*c + 6. Let i(n) = n**2 - 7*n - 7. Let b(s) = -5*i(s) - 6*q(s). Let z be b(0). Sort 3, z, -3.
-3, z, 3
Let v be -2 - (1 + 3)*-1. Suppose -25 = -5*j + 2*p, -p - 20 = 3*p. Sort 1, v, j.
1, v, j
Let x = -42 - -37. Sort 1, 8, 2, x in decreasing order.
8, 2, 1, x
Let j = -11 - -8. Let l = 2 - j. Sort l, 0.2, 0.
0, 0.2, l
Let x = -28.2 - -28. Let g = -3869/34 - -113. Let k = -12/17 + g. Sort x, 0.2, k.
k, x, 0.2
Let q = -3 + 3. Let h be ((-3)/(-2))/(3/2). Let l = -3 + h. Sort l, -4, q in increasing order.
-4, l, q
Suppose -t - 5 = 4*t. Sort 1, t, -7.
-7, t, 1
Let h = 9 - 4. Put h, 2/17, 2 in descending order.
h, 2, 2/17
Let o = 9.73 + 0.27. Let q = 10.2 - o. Sort -0.3, q, 4 in decreasing order.
4, q, -0.3
Let x be 2 - (-3 + 2 + -1). Suppose 2*y = 6*y - x*v - 28, -y - v = 1. Put y, 1, -1 in decreasing order.
y, 1, -1
Let o = 0.3 - 0. Let g = -0.6 + o. Let b = -9 - -5. Sort g, b, 0.1 in descending order.
0.1, g, b
Let i = 106 + -105. Sort 4, -6/5, i.
-6/5, i, 4
Let r = 7.06 - 7. Sort r, 5, -1/9.
-1/9, r, 5
Let x(d) = -3*d - 1. Let z be x(-1). Suppose 0 = -3*k - 3*o + 18, -z*k = 3*k + 2*o - 21. Put 1, k, 0 in decreasing order.
k, 1, 0
Let a be 1 - 4*(-2)/2. Suppose f - 7 = -0*y - a*y, 5*y = 3*f + 19. Put 4, -5, y in increasing order.
-5, y, 4
Let z = 28 + -28.38. Let g = z - 0.02. Let s = g - -0.6. Put 0.3, -2/5, s in increasing order.
-2/5, s, 0.3
Suppose 0 = 4*k + 4, -q - 3*k + 2 = 6. Let c(y) = 4*y**2 + 2*y + 2. Let f be c(-1). Put f, q, 0 in ascending order.
q, 0, f
Let p be (1 - (0 - -4)) + 7. Let q(d) be the first derivative of d**2/2 - 5*d + 1. Let s be q(5). Put s, 3, p in increasing order.
s, 3, p
Suppose -3*c = 4*i + 13, -2*c - c = -3. Put 5, 0, i in descending order.
5, 0, i
Let t = -7 - -12. Let v be 1 - (0 + 1)*-25. Suppose -5*j = x + v - 2, 4*x = 4*j. Sort t, 3, x in descending order.
t, 3, x
Let m = 2.21 + -0.21. Sort -3, m, -0.2 in increasing order.
-3, -0.2, m
Let l(v) = v - 5. Let z be l(4). Suppose -7*m = -4*m - 15. Sort z, -3, m.
-3, z, m
Suppose -c + 1 = -2. Let f be c*(2 - 2 - -1). Suppose -3*m - 10 = p, 6*p - 3*p = -f*m - 12. Sort 2/9, 0, p in increasing order.
p, 0, 2/9
Suppose -32 = -3*a - 5*g, -2*a = 3*g - 4*g - 4. Let m = -35 + 38. Sort m, -0.2, a in increasing order.
-0.2, m, a
Suppose -p + 6 = 2*p. Suppose -i - p = -0*i. Sort -3, 2, i in decreasing order.
2, i, -3
Let a = 652/5 - 131. Let b = 0.9 - 0.4. Let m = -0.5 + 0.2. Sort m, a, b in descending order.
b, m, a
Let f(d) = d**2 - 5*d - 4. Let n be f(6). Suppose -3*o = -3*v - 9, v = 4*o + n*v + 8. Let u be o/1*2/6. Put u, 0.2, -2 in decreasing order.
0.2, u, -2
Suppose 3*d + x + 12 = d, 5*d - 2*x + 12 = 0. Let f(o) = -2*o**2 - 1. Let k be f(-1). Sort k, d, -5 in increasing order.
-5, d, k
Let s = -1 + 3. Suppose 0 = -5*c + 4*c + s*j + 15, j = 2*c - 15. Suppose -m + 1 = 0, 2*q + m + 6 - 13 = 0. Put q, c, 0 in increasing order.
0, q, c
Let r be (-4)/6*15/5. Sort r, -3, 3 in decreasing order.
3, r, -3
Let r = 91 + -97. Sort 9, 0, r, -5.
r, -5, 0, 9
Let f(g) = g**2 + 2*g. Let y be f(-3). Let l be (-1)/(y/(-18)) + -3. Let j be 3/(9/(-6)) + 6. Sort l, -1, j in decreasing order.
j, l, -1
Let h(x) = 3*x - 21. Let w(s) = 2*s - 11. Let z(k) = -3*h(k) + 5*w(k). Let g be z(-10). Put 1, g, 0 in descending order.
1, 0, g
Let b be ((-3)/6)/(5/(-130)). Let c(u) = u**3 - 12*u**2 - 13*u. Let n be c(b). Sort 1, -1, n in increasing order.
-1, n, 1
Let b(z) = -z**3 + 6*z**2 - 4*z - 3. Let g be b(5). Let l = g + 0. Suppose -l*t + 10 = -4*t. Put t, 5, 4 in descending order.
5, 4, t
Let f be ((-2)/6)/((-5)/15). Put 0, 4, f in descending order.
4, f, 0
Let z = 7 - 6.7. Put z, -5, 2/9 in descending order.
z, 2/9, -5
Let t(b) = -b**2 - | {
"pile_set_name": "DM Mathematics"
} |
(y) = -65*y - 718. Let o be g(-47). What is the highest common divisor of 57 and o?
57
Let o = 28 + -28. Suppose -3*m - 7 + 262 = o. What is the greatest common factor of 17 and m?
17
Let m = 235 - 588. Let l = 239 + m. Let x be l/(-18) + 3/(-9). Calculate the greatest common factor of x and 3.
3
Suppose 3*j = 3 - 21. Let u = -3 - j. Suppose u*i = 3*h + 93, 3*i = -2*i + 2*h + 152. What is the greatest common divisor of i and 6?
6
Suppose 0*f + 36 = 6*f. Let k(a) = a**3 - 7*a**2 + 8*a - 6. Let g be k(f). What is the greatest common divisor of g and 30?
6
Suppose r = -3*r, -90 = -3*z - 3*r. What is the greatest common factor of z and 25?
5
Let s(j) = 2*j**2 + 10*j + 83. Let t be s(-6). What is the greatest common factor of 152 and t?
19
Let y be (13 - 7) + (-8)/2. Suppose -2*c - k = 6, -12 = y*c - 3*k + 10. Let f = c - -15. Calculate the highest common divisor of 10 and f.
10
Let b(q) = -15*q + 180. Let w be b(-20). Calculate the greatest common factor of 16 and w.
16
Let v = 78 + -45. Let n = 27 - 5. Calculate the highest common divisor of n and v.
11
Suppose 4 - 2 = 2*y, y - 575 = -2*z. Suppose -289*l + z*l + 66 = 0. What is the highest common divisor of 88 and l?
11
Let r = 51 - 42. Let b(m) = -m**2 + 13*m - 1. Let d be b(r). What is the greatest common factor of 14 and d?
7
Let j be ((-22)/(-1))/((-27)/(-162)). What is the greatest common factor of j and 24?
12
Suppose -5*l + 0*l - 3*w = -156, -4*l + 141 = -3*w. Calculate the greatest common divisor of 9 and l.
3
Let b = 2073 - 1237. Calculate the greatest common divisor of 88 and b.
44
Let u(r) = 5*r**2 - 40*r + 17. Let j be u(8). What is the highest common factor of 850 and j?
17
Let q be ((-162)/135)/(3/(-70)). What is the greatest common divisor of q and 20?
4
Suppose 0 = 4*z - 33 + 9. Let s = -647 - -655. Calculate the greatest common factor of s and z.
2
Let b be 8 + -2 + (-2 - 2). Calculate the greatest common divisor of b and 5.
1
Let k(b) = 2 + b**2 - 4 - 2*b - 2 - 2*b**2. Let t be k(0). Let n(q) = -q**3 - 2*q**2 + 6*q - 3. Let m be n(t). What is the highest common divisor of m and 2?
1
Let k = 1414 - 1386. Calculate the highest common divisor of k and 434.
14
Suppose d - 8*d = 49. Let c = 8 + d. Calculate the greatest common factor of 3 and c.
1
Let h be -3*30/27*-3. Suppose -r - 3*b + 8*b = 25, h = 5*r + 2*b. Suppose -p - 3 = 0, r*n - p = -5*n + 18. What is the highest common factor of n and 33?
3
Let t(w) = -w + 4*w**2 - 1 - 2*w**2 + 9*w**2 - 2*w**2. Let d be t(-1). Calculate the greatest common factor of 72 and d.
9
Let n(v) = -v**3 - 15*v**2 - 26*v + 30. Suppose -13 = -8*i + 9*i. Let j be n(i). Calculate the greatest common factor of 6 and j.
6
Let n(b) = 8*b**2 + 2*b - 1. Let g be 4 - (-3)/6*-2. Suppose -t - g = -4*t. Let u be n(t). Calculate the highest common divisor of u and 1.
1
Suppose 4*z + 358 = -842. Let c be (z/(-36))/((-1)/(-6)). Let u(t) = t**3 - 2*t**2 - 4*t + 4. Let f be u(4). What is the highest common factor of f and c?
10
Let j(y) = -y**2 - 17*y + 62. Let u be j(-20). Calculate the greatest common divisor of u and 29.
1
Let f(v) = v**2 - 8*v - 2. Let d be f(8). Let m be -2 - d - (-5)/1. What is the highest common divisor of m and 40?
5
Let l be (1 - -109) + -37 + 32. Calculate the highest common divisor of 75 and l.
15
Let w(c) = -32*c**3 + c**2 + 2*c + 1. Let k be w(-1). Suppose 5206 - 726 = 20*g. What is the greatest common divisor of g and k?
32
Let w(z) = 4*z**2 - 6*z - 4. Let b be w(4). What is the greatest common factor of b and 12?
12
Let l be (-20)/3*(-63)/(-42). Suppose -48 = -3*y - 6. Let k be (-12)/(-42) - l/y. What is the greatest common divisor of 5 and k?
1
Let v be 18*18/(-12)*(-4)/6. Let z(a) = 6*a - 44. Let o be z(v). What is the highest common divisor of 16 and o?
16
Let h = 7 + 124. Suppose -5*j = -h + 1. What is the highest common divisor of 26 and j?
26
Suppose -3*x + 3 = 2*f, 3*f + 11 - 2 = 0. Let k(y) be the first derivative of 4*y**2 - 6*y + 1. Let s be k(x). What is the highest common factor of s and 18?
18
Let r(i) = 4*i**3 - i**2 - 1. Let h be r(2). Suppose 5*c = -112 + h. Let y = 30 + c. Calculate the highest common divisor of 91 and y.
13
Let o = -445 + 447. Let y(u) = -u**3 + 5*u**2 + 4*u. Let m be y(5). What is the greatest common factor of o and m?
2
Let v be (-4)/30 + (-7)/(630/(-6312)). Calculate the highest common factor of v and 385.
35
Suppose 4*s = 2*s + 4, 52 = 4*b - 4*s. Calculate the greatest common divisor of b and 20.
5
Suppose -3*h - 27 = -5*t, 7*t + 3*h - 27 = 3*t. Suppose 2*z = -5*y + 1297, 5*z = -3*y + t*z + 776. What is the greatest common factor of y and 37?
37
Let c(u) = -u**3 - 5*u**2 + 2*u + 9. Let p be c(-7). Calculate the highest common factor of p and 341.
31
Let k be -2 + 6/(8/4). Let v be k/(-1) - (3 + -44). Suppose -4*b = -3*b - v. Calculate the greatest common divisor of b and 10.
10
Let y(t) = 2*t**3 + 4*t**2 - t + 1. Let m be y(4). Calculate the greatest common factor of m and 441.
63
Let d = -983 - -1024. What is the greatest common factor of 1025 and d?
41
Let y = -14 + 40. Suppose -l + h + 14 = 6*h, -2*h - 88 = -2*l. Calculate the highest common divisor of l and y.
13
Suppose 0 = 2*x - 5*i - 276, 2*x + 2*i - 198 = 64. Calculate the highest common factor of 35 and x.
7
Let j be 3/4 - (-7)/28. Let m = j - -4. Let u = 93 - 88. Calculate the greatest common divisor of u and m.
5
Suppose -13*m = -28*m + 495. What is the highest common divisor of m and 869?
11
Suppose 0*f + 3*f = 6. Suppose -2*n = n - 192. Suppose 16*m - n = 12*m. What is the highest common factor of f and m?
2
Let h be -451 + (2 - (7 - 4)). Let p = h + 62. Let u be -2*(p/(-4))/(-5). What is the highest common factor of u and 26?
13
Suppose -3*z - 4 - 2 = 0. Let m be (z/2)/1 + (-84)/(-6). What is the highest common factor of m and 13?
13
Let v(q) = -23*q**2 - 121*q - 28. Let g be v(-5). Let m be (1 - 2) + 1*4. Calculate the highest common factor of m and g.
1
Let o be ((-1)/(-3))/((-2)/(-2148)). Suppose 4*g + 74 = -4*p + o, 2*g - 3*p = 147. Calculate the highest common factor of 54 and g.
18
Let u = 43 - 23. Suppose 1 = -2*q - 5*z - 3, -2*q = -3*z - 28. What is the greatest common divisor of u and q?
4
Suppose 19*n + 63 = 22*n. Calculate the greatest common divisor of n and 1092.
21
Let n(i) = 33*i + 3. Let c be n(-2). Let m = c + 102. Suppose -3*p + v = 2*p - 129, 0 = -p + 4*v + 22. Calculate the highest common factor of p and m.
13
Let h(i) = 3*i - 6*i - 7*i. Let l be h(-6). Let s(m) = 3*m**2 + 35*m + 116. Let z be s(-4). What is the greatest common divisor of z and l?
12
Suppose -20*a + 726 = 13*a. Calculate the highest common factor of 418 and a.
22
Let j be (-11)/22*384/(-2 - 2). Calculate the highest common factor of j and 496.
16
Let f be (13*-1)/((-1)/1). Let v be ((-4030)/93)/(8/(-12)). What is the highest common factor of v and f?
13
Let f be (-250)/(-50)*(-4)/(-10). Let r(m) = -m**2 + 7*m - 3. Let q be r(6). Calculate the highest common factor of f and q.
1
Let p(s) = -2*s + 515. Let z be p(-47). Calculate the greatest common factor of z and 21.
21
Let u be 0 - 2 - (1 - 276). Let z be 13*((-6)/8)/((-4)/16). What is the highest common divisor of u and z?
39
Let q(u) = -2*u**3 - u**2 - 7*u. Let f(b) = b**2 - 2*b - 1. Let y(s) = -3*f(s) + q(s). Let t be y(-3). What is the highest common factor of t and 30?
6
Suppose -8 - 5 = s. Let k be 32/1 - (-39)/s. Suppose 0 = -3*r - r - 4*q + 368, -3*q - 246 = -3*r. What is the greatest common factor of k and r?
29
Suppose 0 = -30*k - 21*k + 663. Let s be (-4)/(-10) - 323/(-5). Calculate the greatest common divisor of s and k.
13
Let f = -699 + 794. What is the greatest common divisor of 5 and f?
5
Let x(q) = -q**2 - 17*q + 24. Let m be x(-18). Suppose m*y = y + 70. What is the greatest common factor of 35 and y?
7
Suppose 2*n = -3 + 7. Let i = 57 - 57. Suppose -47 = -n*c + 3*f + 49, 2*f = i. What is the highest common divisor of 6 and c?
6
Let l(c) = 7 + 0 + 4 + 3*c - 3. Suppose -3*z + 5*k = -11, -8 = -z - 2*k + 14. Let v be l(z). What is the highest common factor of v and 4?
4
Let i(s) be the second derivative of 0 + 4*s - 1/3*s**3 - 1/2*s**2 + 1/3*s**4. Let y be i(-7). What is the highest common divisor of y and 19?
19
Suppose 151 - 102 = 7*a. What is the greatest common divisor of a | {
"pile_set_name": "DM Mathematics"
} |
e fourth smallest value in l, k, 1/5, 2?
l
Suppose 96*r - 621 = -82*r - 29*r. What is the biggest value in 0.07, -2/5, -0.05, r, 2?
r
Let r = 109 + -109.233. Let n = r + 0.533. Let v(u) = -u**2 - 5*u + 5. Let o be v(-6). Which is the second biggest value? (a) n (b) o (c) 1
a
Let m = -71987.967 + 72049. Let x = 61 - m. Let j = 0.333 + x. What is the second smallest value in 0, 3, -2, j?
0
Let q = -296 + 295.684. Let k = q - -0.116. Which is the fourth biggest value? (a) 2/3 (b) -3/4 (c) k (d) -5
d
Let y(s) = -2*s - 8. Let k be 8/(-3 + -1) + -2. Let r be y(k). Suppose r = -n + 10 - 3. What is the smallest value in -2/5, 0, n?
-2/5
Suppose 2*n - 8 = -0*n. Let f = 80 - -19. Let h = f - 104. What is the second smallest value in 1.2, n, h, 0.1?
0.1
Let w be -18*(-4)/120*(-10)/9. What is the second smallest value in 12, -1, -2/11, w, -0.2?
w
Let d = 96 + -670/7. Let n = 0.238 - -0.262. What is the third smallest value in 4, d, n, -0.1?
n
Suppose 41*i - 12 = 37*i. Suppose i*n = -0*f + f + 7, -5*f = 5*n - 25. What is the fourth smallest value in 2, n, 1/9, -24?
n
Let k = -22.36 - -22. Let q = 0.36 + k. Let z = -32 + 32.2. Which is the biggest value? (a) q (b) z (c) 8/7
c
Let l = 26.0873 - 0.0873. Let f = -0.12 - 26.38. Let o = l + f. Which is the fourth biggest value? (a) -5 (b) o (c) 4 (d) 0
a
Let v = 54.08 + -54.58. Which is the fourth smallest value? (a) -50 (b) -5 (c) v (d) 5
d
Let k(i) = 2*i + 3. Let l be k(0). Let n be 27/(-54)*(-2)/l + 1. What is the biggest value in -0.3, n, -0.02, 3/5?
n
Let n be 1/(-1 + (-4)/(-5)). Let y = 293 - 329.9. Let r = y + 36.5. What is the smallest value in n, r, 0?
n
Let n = 0.43 - 0.03. Let x = 258 + -624. Let y = x + 366.5. Which is the second biggest value? (a) n (b) y (c) -0.3 (d) 0.1
a
Let q = 2.0771 - 23.0771. Which is the fifth smallest value? (a) 2 (b) 3 (c) q (d) -1/11 (e) -0.3
b
Let p = 4.9 + -6.9. Suppose -2*s - 4*n + 94 = 0, -2*s - 3*s + 217 = 4*n. What is the third smallest value in 0.4, s, p, 3?
3
Let g = 507/700 - -9/350. Which is the second biggest value? (a) 1/5 (b) g (c) -191/9
a
Suppose 0 = -4*t - 0 + 28. Let p be 8/10*(-90)/(-108). What is the second smallest value in t, 0, p?
p
Let o = -105689 + 2430113/23. Let h = -32 - o. Let g = 1.17 + 3.83. Which is the second smallest value? (a) 1 (b) 2/7 (c) h (d) g
b
Let z = 16.1 + -80.1. Let h = -0.24 + -0.06. Which is the second smallest value? (a) z (b) -1 (c) h
b
Let j = -437.4 - -427. Let z = -7.4 - j. What is the third smallest value in z, -2/15, -16, -4?
-2/15
Suppose -11 + 8 = 4*i + u, -5*u = -4*i - 33. Suppose -89 - 11 = -4*p. What is the biggest value in 0.5, p, i?
p
Let y = -92310.1 + 92310. Let f = -0.7 + 4.7. What is the smallest value in y, 2/11, 0.5, f?
y
Let k = -2881 + 2877. Which is the second smallest value? (a) -0.4 (b) 6/7 (c) k (d) 3 (e) 5
a
Let c be (-5)/(-2*(-2)/2). Let n = -1073/7 + 153. Let y = 32341.5 - 32342. What is the third smallest value in c, y, n, -7?
y
Let l be (3 - 55/18)/(270/24 + -11). Which is the second biggest value? (a) l (b) -0.4 (c) 1/380
a
Let f = -53437 - -53437.4. Let n = -13 - -8. Which is the smallest value? (a) -2/7 (b) 0.1 (c) f (d) n
d
Let l = 1081 - 1081.09. Which is the biggest value? (a) 0.09 (b) 2 (c) 5 (d) l
c
Let u = -418.0769 - -0.0769. Let w = 464 + u. What is the third biggest value in w, -2, 1?
-2
Suppose 6*j - 5*j = -2. Let k = -3.5378 + -0.4622. What is the second biggest value in 1.3, j, k, 0.5?
0.5
Let f = -12/659 - 1066/13839. Which is the third biggest value? (a) 2 (b) f (c) -4 (d) -0.5 (e) 0.3
b
Let v be ((-24)/(-320))/(99/(-44)) + (-4)/(-24). Let t(x) = x - 2. Let m be t(6). What is the third biggest value in m, -2/9, v?
-2/9
Let j = -342.4 - -379. Let m = j + -34.6. Which is the second biggest value? (a) m (b) -0.3 (c) -6/11 (d) 0.3
d
Let b = 940.5 - 1362. Let o = b + 421. What is the third biggest value in -2, -0.1, o?
-2
Let a(y) = y**3 + 11*y**2 - 12*y + 7. Let w be a(-12). Let q be w/14 - 1/(2/1). What is the fourth biggest value in 1, q, 13, 2/9?
q
Let g be 2/(4*2) + 2163/(-412). Let s = 2/569 + -1721/3983. What is the second smallest value in 0.1, g, s, 4?
s
Let u(x) be the third derivative of -x**6/120 + x**5/30 - x**3/6 - 2*x**2. Let v be u(1). Let c = 231 - 230.8. What is the second biggest value in v, -1/4, c?
v
Let i = 3.03 + -3. Suppose 0 = 1871*g - 1860*g. Which is the second smallest value? (a) 0.4 (b) g (c) 3 (d) i
d
Let t = -188.83 - -189. Let m = t + -8.17. Which is the biggest value? (a) m (b) -5 (c) -2
c
Let u = 0.104 + 0.396. Let w be (-4)/(-7) + (9 + -2 - 8). Which is the third biggest value? (a) -3 (b) w (c) u
a
Let g = 11 - 7. Suppose 575*f - 567*f = -320. Let x be -6 - 344/f - 3. What is the smallest value in g, x, -0.01?
x
Let y be 2/(-13) + 1088/(-26). Let u be (y/28)/(6/(-20)). Let l = -5240 - -5244.1. What is the second smallest value in l, 0.1, 0.3, u?
0.3
Suppose 583 = 4*m - 15*m. Let t = -158/3 - m. Let s be 2/9 - 16/234. What is the biggest value in t, 4, -1/5, s?
4
Let t = -320 - -319.673. Let b = -0.347 - t. What is the third biggest value in -1/4, -1/7, b?
-1/4
Let v = -1.04669 - -2.04669. Let i = -67/4 - -17. What is the biggest value in v, 0, i, -21?
v
Let w(t) = 142*t + 9966. Let l be w(-70). What is the fourth smallest value in 13, 1, -1/7, l?
l
Let h = -4 + 3. Let u = 11.438 - 8.15. Let r = u - 0.288. Which is the smallest value? (a) -3 (b) h (c) r
a
Let d(c) = 173*c + 1383. Let a be d(-8). What is the smallest value in a, 8, 10, 0.3?
a
Let d = -6 - -2. Let u = -4275 - -12826/3. Which is the third biggest value? (a) 0.11 (b) d (c) u
b
Let z = -3073.5 + 3073. Which is the smallest value? (a) z (b) -0.2 (c) -2 (d) -2/23 (e) 0
c
Let q(n) = n**3 + n**2 - 112*n + 21. Let w be q(0). Let u = 1 + -1.1. Which is the fourth biggest value? (a) w (b) 0.5 (c) 0.1 (d) u
d
Let a = -222.821 + 223. Let o = -2.179 + a. Let v = -7 - -7.07. What is the second biggest value in o, 1, 1/4, v?
1/4
Let n be -1 - 3*1/(-7). Suppose -3*b = q + 3*q + 517, -346 = 2*b + 3*q. Let g = -170 - b. What is the second smallest value in -1/6, -2, g, n?
-2
Let c = -3027 + 3025. What is the second smallest value in 14, 0, c?
0
Let g = 4.24 - 3.24. Let m = -0.257 + 0.157. What is the second biggest value in g, 0.054, m?
0.054
Suppose -3*u - w + 15 = 0, 15*u = 11*u + 2*w + 10. Which is the third smallest value? (a) u (b) -66 (c) -4
a
Let d = 9661 + -9657. What is the third biggest value in -0.22, d, -6.9?
-6.9
Let v = 7 + -36/5. Suppose -5*n + 0*n - 50 = 0. Let y be 7/(-35)*n/(-8). Which is the biggest value? (a) y (b) 1/2 (c) v
b
Let s(u) = -u**3 + 16*u**2 - 56*u - 50. Let f be s(7). Which is the fourth smallest value? (a) f (b) 1 (c) -0.051 (d) -43/3
b
Let p(n) = n**2 - 241*n + 14515. Let q be p(120). Which is the third smallest value? (a) -262 (b) q (c) -9/7
c
Let w = 99.16 - 99.06. Let g = 2.14 - 0.14. What is the smallest value in -1/5, g, 3, w?
-1/5
Let d = 33461 + -33429.954. Let g = d + -31. Let x = -0.156 + g. Which is the third smallest value? (a) 0.1 (b) 5 (c) x
b
Let n = 0.7 - 0.9. Let i = -26211.5 - -26211. Which is the fourth smallest value? (a) 8 (b) i (c) n (d) -2
a
Suppose 3*k = s - 0*k - 22, 0 = 4*s - 3*k - 115. Suppose 15*v - 16 = s*v. What is the second smallest value in 1, -3, -5, v?
-3
Let i = -543.4 + 544. Let o = -0.134 - -0.034. What is the second biggest value in o, -3/8, i?
o
Let o(n) = -6*n + 130. Let g be o(6). Let z be (623/30)/7 + g/(-705). Which is the second biggest value? (a) 5 (b) -1/6 (c) z
c
Let s = -2694 - -2688. Which is the second biggest value? (a) s (b) 0 (c) -2/5 (d) 1
b
Let g = -534 + 534.0388. Let r = g - 3.0388. Let w = -0.2 - -0.25. What is the third biggest value in r, 0.3, w, 0.4?
w
Let n = -1 + -2. Let k = 2.015637 + -0.015637. What is the second biggest value in -2.3, -1/2, k, n?
-1/2
Let p = 2563 + -2563.075. Which is the smallest value? (a) -0.5 (b) p (c) -3
c
Let t = 11.47 - 0.47. Let k be 13/(-21) + 4/14. Which is the third smallest value? (a) 0 (b) t (c) k
b
Let o = 122999.192 - 123754. Let z = o - -740.9. Let u = -0.092 + z. Which is the second smallest value? (a) 5 (b) 1 (c) u
b
Let v be 3570/17700 - 2/10. | {
"pile_set_name": "DM Mathematics"
} |
80
Find the common denominator of -31/65667 and 1/18.
394002
Calculate the lowest common multiple of 3108 and 19684.
59052
Calculate the lowest common multiple of 36564 and 24.
73128
Calculate the smallest common multiple of 21372 and 260.
106860
Find the common denominator of -19/8140 and 43/19240.
211640
What is the smallest common multiple of 4760 and 4284?
42840
What is the smallest common multiple of 84796 and 1972?
84796
What is the common denominator of 57/1610 and 101/10810?
75670
Find the common denominator of -31/106660 and 51/53330.
106660
Calculate the lowest common multiple of 48070 and 330.
144210
Calculate the common denominator of -8/52429 and 58/20165.
262145
Calculate the common denominator of 1/93 and 20/483817.
1451451
What is the smallest common multiple of 935550 and 18?
935550
What is the smallest common multiple of 19544 and 24?
58632
Calculate the common denominator of -48/1248377 and 47/4.
4993508
Calculate the common denominator of 64/278285 and -19/556570.
556570
What is the smallest common multiple of 1850 and 596625?
1193250
Calculate the common denominator of 117/380 and -3/156260.
2968940
Find the common denominator of 51/50 and -163/880800.
880800
What is the least common multiple of 6996 and 112?
195888
Calculate the common denominator of -81/148 and 61/118.
8732
What is the least common multiple of 12628 and 4510?
63140
Calculate the least common multiple of 41923 and 77.
461153
Calculate the common denominator of -31/78970 and -97/15794.
78970
Calculate the lowest common multiple of 16 and 709300.
2837200
Find the common denominator of 43/996 and 19/22.
10956
What is the lowest common multiple of 24 and 1444914?
5779656
Calculate the lowest common multiple of 2027 and 2027.
2027
Calculate the common denominator of 54/5753 and 19/7062.
3693426
What is the common denominator of -98/13515 and 53/102?
27030
What is the least common multiple of 2 and 99900?
99900
What is the least common multiple of 2760 and 1001052?
10010520
Find the common denominator of -77/2 and 31/266306.
266306
What is the common denominator of -139/16830 and 199/4950?
84150
Calculate the smallest common multiple of 1 and 865.
865
Find the common denominator of -65/11818 and 3/2488.
47272
Calculate the least common multiple of 5190 and 6920.
20760
Calculate the lowest common multiple of 135 and 56214.
281070
What is the smallest common multiple of 3382 and 9063?
1613214
Calculate the smallest common multiple of 12922 and 13419.
348894
What is the least common multiple of 67318 and 1552?
538544
What is the smallest common multiple of 30 and 563125?
3378750
Calculate the lowest common multiple of 69 and 512.
35328
Calculate the lowest common multiple of 899 and 2059.
63829
What is the common denominator of 103/341220 and -6/275?
1706100
What is the common denominator of 101/2912 and 157/234?
26208
What is the common denominator of 55/20212 and 3/38?
384028
Calculate the least common multiple of 168 and 12390.
49560
Find the common denominator of -41/4680 and 71/1035.
107640
Calculate the common denominator of -64/7689 and -53/45.
115335
Calculate the smallest common multiple of 960 and 148440.
1187520
What is the common denominator of 37/75888 and 35/25296?
75888
Find the common denominator of -5/68666 and -36/11.
755326
Calculate the smallest common multiple of 831 and 704411.
2113233
Calculate the smallest common multiple of 355295 and 5.
355295
What is the smallest common multiple of 4288 and 1064?
570304
Calculate the common denominator of -14/69201 and -40/621.
1591623
What is the lowest common multiple of 30 and 3192?
15960
Calculate the lowest common multiple of 36432 and 176.
36432
Calculate the common denominator of -32/327 and -25/6152.
2011704
Find the common denominator of 69/8842 and -95/6.
26526
What is the common denominator of -19/14910 and -103/280?
59640
What is the common denominator of -42 and 13/7304?
7304
Find the common denominator of 47/45804 and 89/175582.
1053492
What is the common denominator of 29/27 and -36/113875?
3074625
What is the smallest common multiple of 2720 and 8432?
84320
Find the common denominator of 103/6 and 91/119424.
119424
What is the common denominator of 19/106 and 9/905081?
1810162
What is the lowest common multiple of 319254 and 117?
957762
What is the least common multiple of 200 and 200?
200
Find the common denominator of 131/12 and -5/114174.
228348
What is the common denominator of -13/30704 and 11/304?
30704
What is the smallest common multiple of 55 and 24855?
273405
Calculate the least common multiple of 10272 and 240.
51360
Calculate the common denominator of -49/152793 and -119/108.
611172
What is the common denominator of -101/420 and -74/35385?
141540
What is the lowest common multiple of 419342 and 7?
419342
What is the smallest common multiple of 945 and 4725?
4725
What is the lowest common multiple of 4266 and 52?
110916
Find the common denominator of -131/7050 and 151/493500.
493500
Calculate the common denominator of 77/32 and 47/9392.
18784
Find the common denominator of 37/306 and 37/93.
9486
What is the lowest common multiple of 884 and 4930?
128180
What is the common denominator of 17/6144 and -101/38400?
153600
Calculate the least common multiple of 4590 and 81090.
243270
Calculate the smallest common multiple of 183960 and 4.
183960
What is the lowest common multiple of 138 and 46?
138
Find the common denominator of -67/74385 and 143/216.
595080
Find the common denominator of -41/52 and -53/984.
12792
What is the lowest common multiple of 8 and 19630?
78520
What is the smallest common multiple of 3435 and 7860?
1799940
What is the smallest common multiple of 43056 and 37440?
861120
Find the common denominator of 49/56092 and 107/6822.
504828
What is the least common multiple of 759567 and 2538?
13672206
What is the least common multiple of 76557 and 25519?
76557
What is the common denominator of -67/3240 and 193/62370?
249480
Calculate the smallest common multiple of 4669 and 22678.
158746
Calculate the lowest common multiple of 25520 and 261.
229680
What is the smallest common multiple of 500 and 22600?
113000
What is the least common multiple of 17374 and 1267?
3144694
Find the common denominator of 5/9 and -40/23451.
70353
Calculate the smallest common multiple of 792 and 7128.
7128
Calculate the smallest common multiple of 7560 and 2079.
83160
Find the common denominator of 9/2 and 80/48621.
97242
Calculate the lowest common multiple of 106869 and 441.
320607
Calculate the lowest common multiple of 465 and 7905.
7905
What is the lowest common multiple of 280 and 55392?
1938720
Find the common denominator of -97/672 and 97/1328.
55776
Calculate the common denominator of 77/8814 and 16/177749.
1066494
Calculate the smallest common multiple of 395 and 15727.
6212165
Calculate the lowest common multiple of 1935870 and 10.
1935870
What is the lowest common multiple of 266 and 551?
7714
What is the common denominator of 34/50255 and -37/5?
50255
What is the common denominator of 47/49664 and -95/32?
49664
Calculate the smallest common multiple of 1296 and 10.
6480
What is the lowest common multiple of 1972 and 357?
41412
What is the least common multiple of 6 and 42798?
42798
What is the common denominator of 83/9184 and 19/1456?
119392
What is the least common multiple of 32920 and 520?
427960
Calculate the smallest common multiple of 3311 and 184212.
2026332
Calculate the common denominator of 23/1814 and 53/3352.
3040264
What is the lowest common multiple of 16 and 38496?
38496
What is the least common multiple of 27864 and 108?
27864
Calculate the least common multiple of 522698 and 1265.
2613490
What is the smallest common multiple of 20 and 6884?
34420
Calculate the lowest common multiple of 198750 and 1590.
198750
Calculate the least common multiple of 40 and 8544.
42720
Calculate the lowest common multiple of 5620 and 562.
5620
What is the common denominator of -51/342860 and 7/107756?
3771460
What is the least common multiple of 1070253 and 118917?
1070253
What is the smallest common multiple of 52780 and 82940?
580580
What is the common denominator of 70/12207 and -103/624?
195312
What is the least common multiple of 1829058 and 665112?
7316232
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
Let u = -84 - -86. Suppose -3*d - 5*n = -1000, -3*n + 330 = d + u*n. What is the hundreds digit of d?
3
Let u(i) = 157*i**3 - 2*i**2 - 11*i - 8. What is the tens digit of u(4)?
6
Let w(r) = -169*r + 70. Let n = 612 + -622. What is the thousands digit of w(n)?
1
Let z = -385 + 391. Suppose -3*s = -2*l + 1310, 666 = l - z*s + 10*s. What is the units digit of l?
8
Let h = -2434 + 1272. Let p = -627 - h. What is the tens digit of p?
3
Suppose -5*t + 94 = 24. Suppose t*y - 9*y = -10, 4*y + 1637 = 3*o. What is the tens digit of o?
4
Suppose 2*d = -b + 3*d + 17, 0 = -4*b - d + 43. Suppose -15*o + b*o + 609 = 0. Let x = o + -149. What is the units digit of x?
4
Let m(z) = -382*z - 16. Let j be m(4). Let p be (1/(-2))/(0 - (-4)/j). Suppose -4*s = -139 - p. What is the tens digit of s?
8
Let k(x) = 63*x**2 - 3*x - 4. Let r be k(7). Suppose 14*f - 2034 = r. What is the tens digit of f?
6
Let d(l) = 1829*l - 49. What is the ten thousands digit of d(6)?
1
Suppose -4*m = z - 3830, 2*m + 22876 = 59*z - 53*z. What is the hundreds digit of z?
8
Suppose 270*m = 291*m - 356505 - 344475. What is the tens digit of m?
8
Let l(q) = -q - 4. Let z be l(-13). Let x be ((-15)/1)/(z/(-6)). Let c = 34 - x. What is the tens digit of c?
2
Suppose 15 = -3*o, d + 144*o - 149*o = 29674. What is the tens digit of d?
4
Suppose -107*a = -2*a - 272607 - 592908. What is the units digit of a?
3
Let j = -2350 - -17743. What is the tens digit of j?
9
Let n(s) = 10*s**2 - s - 2. Let o be n(-1). Suppose o*b = 4*b + 20. Suppose -b*z - 3*q + 183 = 2, -2*z + q + 83 = 0. What is the units digit of z?
3
Suppose -1582 = -k + 4*t + 1750, -4*k - t + 13226 = 0. What is the hundreds digit of k?
3
Suppose -2*s + 20 = -9*w + 13*w, 5*w - 22 = -s. Suppose -f - 3*f = s*i - 516, 2*i + 3*f = 521. What is the units digit of i?
8
Let p = -1717 + 2631. What is the hundreds digit of p?
9
Suppose 23*j - 200661 = 18*j + 2*a, 120391 = 3*j - 4*a. What is the units digit of j?
3
Let j be (22/33)/(2/240*4). Suppose -j*h - 7608 = -28*h. What is the tens digit of h?
5
Suppose 57*f - 9*f = 96. Suppose q - 575 = -4*s, 2*q + 39 - 1239 = f*s. What is the units digit of q?
5
Let a = 118034 + -84099. What is the thousands digit of a?
3
Let j = 44029 + -9575. What is the units digit of j?
4
Suppose -43*w = -37368 - 23090. What is the tens digit of w?
0
Let z be 1/((-6)/(-12)*6/9). Suppose -o - z*t + 4*t = -543, -t - 1087 = -2*o. What is the units digit of o?
4
Let p(s) be the third derivative of -s**6/24 - s**5/30 + s**4/24 + 19*s**2. Let b = -202 + 200. What is the units digit of p(b)?
0
Let o be (51/(-6))/(3/(-6)). Suppose o*q = 13*q - 1116. What is the tens digit of q/(-4) - 12/(-48)?
7
Suppose -2 = 6*x + 10. What is the hundreds digit of -4*x/(4/258)?
5
Suppose 10*o + 1120 = -4*l + 7*o, 3*l - 5*o + 811 = 0. Let b = -97 - l. What is the tens digit of b?
8
Let o be 3560/12*(-2)/10*-6. Let x = 512 - o. What is the tens digit of x?
5
Let s = 39178 + 3072. What is the tens digit of s?
5
Let o be 30 - -2*(-1)/2. Let h(b) = b**3 - 24*b**2 + 37*b + 151. Let l be h(22). Let a = l + o. What is the units digit of a?
6
Suppose -10*w + 4*h - 32186 = -16*w, -w - h + 5365 = 0. What is the thousands digit of w?
5
Let q(t) = t**2 - 11*t + 42. Let g be q(12). What is the units digit of g + 16/(-56)*(0 + -7)?
6
What is the units digit of (-7790024)/(-132) - (-40)/(-12)?
2
Let f = 17482 + -9994. What is the thousands digit of f?
7
Let q(y) = -2*y**3 - y**2 + 3*y + 7775. What is the thousands digit of q(0)?
7
What is the units digit of ((-3564)/330)/((-2)/7 - 80312/(-281680))?
8
Suppose 4217 = -12*g + 413. Let o = g + 508. What is the tens digit of o?
9
Suppose -5*c + 4*y + 8 = 0, 4*c - 5*y = 9*c - 35. Suppose -3*j + 4*j = 2*h - 168, 8 = -c*j. What is the tens digit of h?
8
Suppose -22*q = 130 - 218. Suppose -2180 = -q*v + 4*s, -3*s + 158 + 942 = 2*v. What is the units digit of v?
7
Let q(r) = -3*r**3 + 3*r**2 + r + 256. What is the thousands digit of q(-10)?
3
Let l(q) be the second derivative of -q**3/3 + 27*q**2/2 + 15*q. Let b be l(12). Suppose 6*v - v - 70 = -t, b*t + 2*v = 158. What is the tens digit of t?
5
Let r be 8/168*119283 - 3/21. Suppose 0 = -4*f + 2*d + r, -2*d + 16 = 2*d. What is the thousands digit of f?
1
Let s = 24542 - 14550. What is the units digit of s?
2
Let m(u) = u**3 + 4*u**2 - 12*u + 7. Let z be m(3). Suppose -2*s - d + 323 = 0, -z*s + 2*d + 159 = -33*s. What is the tens digit of s?
6
Suppose 2 = -4*l - 18. Let d be 4 - (10/l + 2). What is the units digit of 51 - ((-5)/1 + d)?
2
What is the tens digit of (-63 - -71) + ((-182)/(-6))/(2/588)?
2
Suppose 356*d = 340*d + 12704. Let h = 798 + d. What is the units digit of h?
2
Suppose 472 = 15*w - 13*w. What is the hundreds digit of w/7*(1 - 20/(-8))?
1
Let v(u) be the third derivative of u**5/20 + u**4/6 + 79*u**3/6 + 250*u**2. What is the tens digit of v(-16)?
8
Let g be 3 - (-2 + 11) - -3. Let x = -77 + 78. What is the tens digit of (x - -29)*(-21)/g?
1
Let m be (174/4)/((-69)/(-92)). Suppose -5*t + 2*f + m = -t, -4*f = t - 10. Suppose 4*i + 2390 = t*i. What is the tens digit of i?
3
Suppose -122*t = -412454 - 1756462. What is the hundreds digit of t?
7
Suppose 2 = 2*w - 2*k, 5*w + 0 = -3*k - 3. Let z(b) = 5*b + 1. Let q be z(w). Suppose 3*m + 3*s = 4*m + q, 3 = 3*s. What is the units digit of m?
2
Let j = 230 - 200. Suppose j = 13*c + 4. What is the units digit of c?
2
Let q(r) = -r**3. Let p be 8/1 - (-12)/(-3). Let n(x) = 7*x**3 - x**2 - x + 4. Let j(v) = p*q(v) + n(v). What is the tens digit of j(2)?
2
Let y(f) = -472*f + 8. Let h be y(-7). Let b = -2179 + h. What is the thousands digit of b?
1
Suppose -1600 = 19*v - 346. Let u = v + 725. What is the hundreds digit of u?
6
Let b = -29 - -40. Suppose 9*v + 240 = b*v. Suppose f - 57 = -m, -4*m + v = 2*f + 12. What is the units digit of f?
0
Let m(j) = 46*j**2 + 13*j - 371. What is the thousands digit of m(-29)?
7
What is the hundreds digit of (-4 - -2)/(78/(-120120))?
0
Let k = 6311 + 27012. What is the ten thousands digit of k?
3
Let h = 8340 - 7462. What is the hundreds digit of h?
8
Let f be (-4 - 38/(-10)) + 52044/20. What is the hundreds digit of 3 + 1/2*f?
3
Let m = 2759 - 31. What is the units digit of m?
8
Let s(r) be the third derivative of r**5/60 - 31*r**4/24 + 43*r**3/2 + 181*r**2. What is the units digit of s(0)?
9
Suppose -3*j + j = -4*c + 50710, -5*c - j = -63370. Suppose -335*z + 322*z = -c. What is the tens digit of z?
7
Let o(t) = 528*t + 204. What is the ten thousands digit of o(59)?
3
What is the hundreds digit of (-2030)/(-8)*((-736)/(-32) - 11)?
0
Let n(i) = -16*i - 19. Let j be n(-4). Suppose j*y = 18*y + 7776. What is the tens digit of y?
8
Let q(v) = -v**3 - 52*v**2 + 93*v + 327. What is the units digit of q(-55)?
7
Let h = -58 + 57. What is the tens digit of 1433/9 - (56/(-72) - h)?
5
Let n be 17/(3/(-2)*(-3)/(-27)). Let t = n + 220. What is the units digit of t/(-5)*(-1)/((-4)/(-10))?
9
Suppose 12*c - 71 = -23. Suppose 4*y = w - 94, -c*y = -3*w - 2*y + 312. What is the units digit of w?
6
Suppose 27323 = 3*v - 5*t, -2*v + 18257 = 17*t - 12*t. What is the hundreds digit of v?
1
Suppose 0*g + 4 = 4*y + 2*g, 5 = -y - 2*g. Suppose -2*f + 12 = 2*j - 0, y*j - f = 14. Suppose -2*o + j*o - 471 = 0. What is the tens digit of o?
5
Let l = 284 - 262. Suppose 52*j - l*j - 10410 = 0. What is the units digit of j?
7
Let t = 36 + -31. Suppose -3*p + 4*p + 654 = k, t*p + 5*k = -3270. What is the units digit of (p/(-15))/(14/35)?
9
Let o(s) = 17*s**2 - 6*s + 191. What is the tens digit of o(17)?
0
Suppose 4*z + 11*c = 8*c + 605, 0 = -10*z - 5*c + 1525. What is the hundreds digit of z?
1
Let j(q) = 3*q**2 - 90*q + 38. Let l be 6/(-240)*-8 + (-507)/(-15). What is the hundreds digit of j(l)?
4
Suppose 11*l = 7*l + 68. Suppose 208 = l*v - 13*v. Let a = v - 42. What is the units digit of a?
0
Suppose 5*g = 5*c + 6475, 5*c = 3*g + g - 5183. Suppose -4*o - g = 5*f, 0 - 4 = -f. What is the tens digit of (-4)/6 - o/6?
5
Suppose -30*r + 7*r = -6051 + 1865. What is the tens digit of r?
8
What is the thousands digit of 19707 + (4 - ((-171)/(-33) + 8/(-44)))?
9
Let k be (1 - 3) + (-20 - -22). Suppose 3*w - h - 2297 = k, -2*h = 6*w - 2*w - 3076. What is the hundreds digit of w?
7
Let r be 0/(-1) - -1 - (12 + -2 | {
"pile_set_name": "DM Mathematics"
} |
earest one hundred?
-1500
Let k = -86.7 - -94. Round k to zero dps.
7
Let x = 0.09999966 + -0.1. Round x to seven dps.
-0.0000003
Let t = 27.74 + 0.26. Let h = t + -28.000043. Round h to 5 decimal places.
-0.00004
Let a = -128012624100807.07000022 - -128012632276683. Let z = a + -8175876. Let b = z + 0.07. Round b to seven decimal places.
-0.0000002
Let s(y) = -23525*y + 5. Let i be s(5). Let x = 265632 + i. Suppose -b - 37015 = -2*b + 5*d, -4*d - x = -4*b. Round b to the nearest ten thousand.
40000
Let v(i) = -287895*i**2 - 5*i + 4. Let c be v(3). Let f = 574351 - c. Let d = 9665417 - f. Round d to the nearest one million.
7000000
Let u = -21.6 - -5.7. What is u rounded to the nearest integer?
-16
Let h(z) = 199*z**3 + 6*z**2 + 4*z - 9. Let b be (3/3)/((-2)/14). Let g be h(b). What is g rounded to the nearest ten thousand?
-70000
Let c = 605343 - -504649. Let f = 13 + -9. Suppose -2*j - 740008 = -0*j - 4*d, 3*j + f*d = -c. Round j to the nearest one hundred thousand.
-400000
Let s = -3 - -3.05. Let z = s + 2.95. Let x = z - 2.999999. Round x to five dps.
0
Let g(l) = 1128*l**3 + l**2 + 4*l - 5. Let f be g(-5). What is f rounded to the nearest ten thousand?
-140000
Let i = 1071 + -898.9. What is i rounded to the nearest ten?
170
Let f = -0.093 + -3.607. What is f rounded to 0 decimal places?
-4
Suppose -6*n = -4*n + 192. Let x be (n/(-9))/(-2)*-178125. Round x to the nearest 100000.
1000000
Let b(s) = -7799*s**3 + 10*s**2. Let t be b(-10). Round t to the nearest one million.
8000000
Let y(w) = -2925*w**3 - 24*w**2 + 52*w - 25. Let k be y(23). Round k to the nearest one million.
-36000000
Let q = 2691847 - 2691905.00043. Let s = q - -58. Round s to four dps.
-0.0004
Let m = -0.91 - -1.1. Let p = 73.63 - 74. Let o = m - p. What is o rounded to one dp?
0.6
Let b = -20 + 20.7. What is b rounded to zero dps?
1
Let j = -6.2 - -1.2. Let l = 24492013 - 24492008.0000015. Let g = l + j. What is g rounded to six dps?
-0.000002
Let w be 320/((-2)/400*-2). Suppose -2*n + 3*n - w = 0. Round n to the nearest 10000.
30000
Let u = -1.00000032 - -1. What is u rounded to seven decimal places?
-0.0000003
Let n be (-421)/(-6) - 3/18. Round n to the nearest 10.
70
Let x = 6.3 - 6.30086. What is x rounded to 4 dps?
-0.0009
Let d = 1.43 - 1.5. What is d rounded to one dp?
-0.1
Let a = -27.3 - -34. Let t = -708001769 - -708001762.30000102. Let h = a + t. What is h rounded to seven dps?
0.000001
Let b = 150.999799 + -151. What is b rounded to five decimal places?
-0.0002
Let c(u) = -1000*u + 5. Let q(r) = 2001*r - 9. Let n(h) = -11*c(h) - 6*q(h). Let k be n(1). Let a = k - -677. What is a rounded to the nearest 100?
-300
Let a(f) = -f**3 - 5*f**2 + 4*f - 7. Let u be a(-6). Suppose -4*n + 11 = -u. Let v be (n/(-3))/(1/12750). What is v rounded to the nearest 10000?
-20000
Let d = 29079821949 - 29079822161.00000107. Let m = d + 212. Round m to seven dps.
-0.0000011
Suppose -3*x + 3*g = -1875662 - 3420220, 2*x - 5*g - 3530591 = 0. Let u = x + -1255293. Suppose p - u = 4*p. What is p rounded to the nearest 100000?
-200000
Let k = 8 + 43. Let c = k - 80. What is c rounded to the nearest ten?
-30
Let s(r) = -150000*r**2 - r + 8. Let f be s(8). Round f to the nearest one million.
-10000000
Let y = -16 + 16.0364. What is y rounded to 3 decimal places?
0.036
Let m(p) = 3459*p - 28. Let t be m(-8). What is t rounded to the nearest 1000?
-28000
Suppose -3*p + 72 = -0*p. Let k be 150*p*(-105)/(-6). Suppose z = 4*z + k. Round z to the nearest 10000.
-20000
Suppose 2*q + 3*q - 5*u = -214985, 0 = 5*q + 2*u + 215006. What is q rounded to the nearest 10000?
-40000
Let m = -0.07 - -1.57. Let s = 33.5 - m. Let o = -38.4 + s. Round o to the nearest integer.
-6
Let p = -8 + 16. Let j be 2/p + (-97995)/(-20). What is j rounded to the nearest 1000?
5000
Let j = -0.0985 - 0.3205. What is j rounded to one dp?
-0.4
Let s = 23 + -22.3. Let k = -19959322.30000004 - -19959323. Let r = s - k. What is r rounded to 7 decimal places?
0
Let x = 785.85984 - 786. Let w = x + 0.14. What is w rounded to four dps?
-0.0002
Suppose -4*j = b + 385, 4*b - 3*j = -0*j - 1502. Let p = -724 - b. Let h = p + 747. What is h rounded to the nearest 100?
400
Let i = -19 + 2. Let u = 11.8 + i. Round u to the nearest integer.
-5
Let a = -2.494 + 2.5. Round a to three decimal places.
0.006
Suppose 0 = 5*r + 31 + 109. Let s be (-7)/r - (-3799)/4. Round s to the nearest one hundred.
1000
Let q = -2.45847 - 0.14533. Let n = -2.6 - q. Round n to 3 dps.
0.004
Let n = 1.43999881 - 1.44. What is n rounded to seven dps?
-0.0000012
Let r = -212 - -216.04. Let l = r - 4. Let y = -0.0400046 + l. What is y rounded to six decimal places?
-0.000005
Let i = -844.7772 - -845. Let r = i - -0.586. Let x = -0.8 + r. Round x to three dps.
0.009
Suppose 2700025 = 3*v + 6*q - q, -3*v = 2*q - 2700010. What is v rounded to the nearest 1000000?
1000000
Let l = -31972.34766495 - 16.51250505. Let p = -31989 - l. Let t = -0.14 - p. Round t to four dps.
-0.0002
Let d = -10.712 + 0.304. Let b = 2.502 - d. Let p = b + -13. Round p to one dp.
-0.1
Let u = 106.00000178 - 106. What is u rounded to seven dps?
0.0000018
Let x = 0 - 10. Let j = -85 - x. Let o = -75.0037 - j. Round o to 3 decimal places.
-0.004
Let q = 150980 - 66118. Suppose 0 = -i - 157138 - q. What is i rounded to the nearest 10000?
-240000
Let d = -513 + 513.000001373. Round d to 7 dps.
0.0000014
Suppose 2*k = 3*k - 3799999. Suppose -u = -3*r - 11399999, k = -0*r - r + u. What is r rounded to the nearest 1000000?
-4000000
Let d = 55 - 86. Let r = -27.1 - d. What is r rounded to zero dps?
4
Suppose 0*s = 5*s - 25. Suppose -3*y = -4*b + 254, -s*y + 4*b = 540 - 130. Let p be (-1000)/3*(-3 - y). What is p rounded to the nearest ten thousand?
-30000
Suppose 4*r + 1 = 5. Let s be (-3 + 2 - r)*-2. Suppose -s*a + 5*u = a - 149990, 2*u - 90004 = -3*a. Round a to the nearest one hundred thousand.
0
Let t be (48/28)/((-2)/(-7)). Let b be -2 - (3 + 2)*-1. Suppose -b*q - 5100 = -t*q. What is q rounded to the nearest one thousand?
2000
Let r = -10.39913 - -10.4. Round r to four decimal places.
0.0009
Let g = 0.45745 + -55.52995. Let x = -55 - g. Let a = x + -0.08. Round a to three decimal places.
-0.008
Let d = -338.9594 + 339. What is d rounded to three decimal places?
0.041
Let h(y) = -8*y**3 + 2*y**2 - 3*y + 7. Let q be h(3). Round q to the nearest 10.
-200
Let d(q) = -362*q**3 - 11*q**2 + 8*q + 24. Let f be d(12). Round f to the nearest 100000.
-600000
Let r = -70 - -70.0000155. What is r rounded to five dps?
0.00002
Let p = 0.7 + -9.7. Let j = p - -9.00000013. What is j rounded to seven decimal places?
0.0000001
Suppose -4*t - 8 = 5*x, 2*x - 5*x - 21 = -3*t. Suppose -t*a - 61000 = -8*a. What is a rounded to the nearest one thousand?
12000
Let d = -0.27 + 0.14. Let g = 144.63 - 142. Let j = g + d. What is j rounded to the nearest integer?
3
Let i = -0.69 + 0.7. Let s = 4.89025 - 4.9. Let h = i + s. Round h to four decimal places.
0.0003
Suppose -j = 3 - 2. Let a be j/1*-6 + -1. Suppose -9310850 - 24189150 = a*s. What is s rounded to the nearest 1000000?
-7000000
Let g(v) be the first derivative of -v**2/2 + 3300000*v + 3. Let n = -1 + 1. Let y be g(n). Round y to the nearest one million.
3000000
Let w = -4 - -4.035. Let h = w + 3.265. Let c = h - 2.2. Round c to 0 dps.
1
Suppose 5*i = -5*k, 2*i + i - 3 = -2*k. Suppose -400 = -2*p - 4*j, -p - 2*p - i*j = -606. Suppose -2*m - m + p = 0. Round m to the nearest ten.
70
Let v = -5.97936 - -6. Let p = -5.98 - -6. Let d = p - v. What is d rounded to 4 decimal places?
-0.0006
Let a be -3534*(50 - 1)/(-1). Let o = 27834 + a. Round o to the nearest 10000.
200000
Let z = -286 - -653. Let m = -368.73 + z. What is m rounded to one decimal place?
-1.7
Let t be (-9)/3 + 0 + -3. Let f(h) = 2890*h**2 + 9*h + 3. Let k be f(t). Suppose k + 356011 = -j. What is j rounded to the nearest 100000?
-500000
Let a(l) = -20277*l**2 + 6*l + 8. Let s be a(-6). Round s to the nearest 100000.
-700000
Let k = 0.045 - 0.04705. What is k rounded to 4 dps?
-0.0021
Let u = 0.06 + -7.86. Let j = 7.80000082 + u. Round j to 7 decimal places.
0.0000008
Suppose -3*d + 8500000 = -8*d. What is d rounded to the nearest 100000?
-1700000
Suppose 5*n - 24 = -3*p, 0*n = -3*n + 2*p + 22. Suppo | {
"pile_set_name": "DM Mathematics"
} |
wrt r?
-33760*r**3
Let h(u) be the second derivative of -7/2*u**3 + 47*u + 0 - 22*u**2. Find the first derivative of h(r) wrt r.
-21
Let s be 15*(2 + 1 + -2). Suppose -15 = -4*p + 3*h, 2*p + 0*h - s = 3*h. Find the second derivative of 9*u + 4*u + p*u**5 + 4*u**5 wrt u.
80*u**3
Suppose -54 + 24 = -10*r. Let a = -42 - -45. Find the first derivative of -22 - 8*h**r + 15*h**a - 7*h**3 - 21*h**4 wrt h.
-84*h**3
Let n(y) = -54*y**3 - 108*y**2 - 54*y + 54. Let r(f) = -2*f**2 + 1. Let c = -134 - -133. Let l(a) = c*n(a) + 54*r(a). Find the second derivative of l(i) wrt i.
324*i
Differentiate -f - 64*f**2 - 569 + 708 - 2415 + 3*f wrt f.
-128*f + 2
What is the third derivative of 99*h**6 - 5694*h**2 + 2*h**4 + 425*h**6 + 5525*h**2 wrt h?
62880*h**3 + 48*h
Let l = -127 - -133. Let b(c) = -7*c**2 + 3*c - 14. Let m(z) = 28*z**2 - 11*z + 56. Let t(u) = l*m(u) + 22*b(u). Differentiate t(d) wrt d.
28*d
Let c(i) = i**3 - 2*i**2 - 9*i + 9. Let t be c(4). Find the second derivative of -p**5 + 50*p + 6*p**3 + t*p**3 + 95 - 93 - 2*p**3 wrt p.
-20*p**3 + 54*p
Let g(u) = u**2 + 4*u + 31. Let d be g(23). Find the second derivative of 368*j - d*j + 373*j + 69*j**4 wrt j.
828*j**2
Let y = 30 + -25. Let t be (15/y - 0)/(1/2). What is the third derivative of -28*o**6 + 26*o**t + 4*o**2 - 6*o**2 wrt o?
-240*o**3
Let k(m) be the second derivative of 2 + 1/6*m**4 + 12*m - 1/15*m**6 + 0*m**5 - 33/2*m**2 + 0*m**3. Differentiate k(x) wrt x.
-8*x**3 + 4*x
Let f = 583 - 581. What is the third derivative of 675*t**5 - 682*t**5 - 145*t**2 + 17*t**3 - 44*t**f wrt t?
-420*t**2 + 102
Let h = -213 - -216. Find the second derivative of -d - 5 + 139*d**3 - 100*d**3 - 96*d**h wrt d.
-342*d
Let i(u) be the first derivative of u - 237/4*u**4 + 0*u**3 + 9/2*u**2 - 260. What is the second derivative of i(l) wrt l?
-1422*l
Let r(i) = -3846*i**2 + 5240*i + 270. Let u(n) = -3847*n**2 + 5239*n + 216. Let k(j) = 4*r(j) - 5*u(j). What is the second derivative of k(v) wrt v?
7702
Let g(j) = 93*j**2 + 1484*j - 4111. Let q(s) = -17*s**2 - 297*s + 822. Let h(b) = -2*g(b) - 11*q(b). Differentiate h(o) wrt o.
2*o + 299
Let b(l) = -34*l**2 + 3*l + 41. Let q = -10 + 14. Let u be (78/104)/(1/4). Let n(j) = 35*j**2 - 4*j - 41. Let r(s) = q*b(s) + u*n(s). Differentiate r(f) wrt f.
-62*f
Let j = 16 - 13. Suppose 3*x - z = 151, j*x + z - 166 = -z. Find the second derivative of x*p**4 - 33*p**4 + 10*p + 7*p wrt p.
228*p**2
Let t(c) be the third derivative of c**5/60 + 979*c**4/24 - 6475*c**3/3 - 321*c**2 + 9*c - 1. Find the first derivative of t(m) wrt m.
2*m + 979
What is the third derivative of -373405 + 1639*h**3 + 1215*h**2 + 373405 wrt h?
9834
Let q(c) = -1 - 2*c - 5*c**2 - c**3 - 1 + 2*c**2 - 2. Let p be q(-3). Find the third derivative of -15*y**4 + 166*y**p - 77*y**2 - 79*y**2 wrt y.
-360*y
Let h(k) = -k**2 + 484*k - 2866. Let m be h(6). Let o(a) be the first derivative of 0*a + 33/2*a**m + 12*a**3 - 33. What is the second derivative of o(v) wrt v?
72
Find the second derivative of 1000*g**2 + 29*g + 24*g + 13 - 15*g + 9*g + 7*g wrt g.
2000
Let h(o) be the second derivative of -5*o**5/4 + 201*o**4/4 + 1577*o. What is the third derivative of h(t) wrt t?
-150
Let z(c) be the second derivative of -13*c**6/30 - 31*c**5/10 + c**4/12 + 2119*c**2/2 - 4109*c - 1. What is the third derivative of z(s) wrt s?
-312*s - 372
Let o(m) be the first derivative of -308*m**3/3 - 2*m**2 + 80*m - 726. Find the second derivative of o(k) wrt k.
-616
What is the third derivative of -6700*a**4 + 270*a**4 - 592*a**3 + 592*a**3 + 3341*a**2 wrt a?
-154320*a
Let z(b) be the third derivative of b**6/40 - 37*b**5/6 - 463*b**4/8 - b**3/3 + 1576*b**2. What is the second derivative of z(x) wrt x?
18*x - 740
Let m(a) be the first derivative of -61/3*a**3 - a + 23/2*a**2 + 45. Find the second derivative of m(u) wrt u.
-122
Let l be 10/(-3)*51/(-17). Suppose -2*v + 0 = l, f + 3*v = -13. Find the third derivative of 31*q**3 + 6*q**f - 4*q**2 + 11*q**2 wrt q.
186
Find the second derivative of -4*p - 343*p**2 + 6*p - p + 3*p**3 + 1500 - 1447 wrt p.
18*p - 686
Let z(q) be the second derivative of -3437*q**5/10 + 4039*q**2 + 2978*q. Differentiate z(r) with respect to r.
-20622*r**2
Let z(s) = -81*s - 52. Let j(p) = 82*p + 51. Let x be (-12 - (-2 - -2))/(-10 + 12). Let d(f) = x*z(f) - 5*j(f). Differentiate d(r) with respect to r.
76
Let x(k) be the first derivative of 97*k**5/5 + k**4/2 + 317*k**2/2 - 669. What is the second derivative of x(o) wrt o?
1164*o**2 + 12*o
Let q(s) = 363*s**2 + 2*s - 138. Let v(f) = 2177*f**2 + 13*f - 830. Let r(h) = 39*q(h) - 6*v(h). What is the derivative of r(o) wrt o?
2190*o
Let u = 123 + -121. Find the third derivative of 23*o**3 + 14*o**u + 0*o**3 - 1 + 7*o**3 + 48*o**2 wrt o.
180
Let p(c) = -24*c - 67. Let v be p(-3). Find the third derivative of -16 - t**2 - 8327*t**4 - 171*t**v + 8327*t**4 wrt t.
-10260*t**2
Let m(n) be the second derivative of 0*n**4 + 0*n**5 + 3/2*n**2 + 2 + 11/15*n**6 + 0*n**3 - 4*n. Differentiate m(c) wrt c.
88*c**3
Let g(h) = 4*h**2 + 24*h + 3. Suppose k = -2*c - 11, -k - 23 = -c + 5*c. Let l be g(c). Differentiate -3*b**3 - b**l - 6*b**3 - 11 wrt b.
-30*b**2
Differentiate -8*y**4 + 1077 - 26*y**2 + 27*y**2 - 3711 - 3217 + 23*y with respect to y.
-32*y**3 + 2*y + 23
Let d(s) be the first derivative of -17 + 8*s**5 - 12 + 10*s + s**5 + 3*s**5. What is the derivative of d(t) wrt t?
240*t**3
Let o(a) = -230*a**2 - 68. Let v(l) = 76*l**2 + 23. Let u = 95 - 81. Let r(g) = u*v(g) + 5*o(g). Differentiate r(f) wrt f.
-172*f
Suppose 14 = 11*r - 8. Let o be (-75)/10*r*-35. What is the derivative of 493 - o - 45*a + 13*a wrt a?
-32
What is the third derivative of 4*z + 342*z**5 - 4*z**5 + 14*z + 248*z**5 - 4*z**2 wrt z?
35160*z**2
Let y(h) be the first derivative of -280*h**3 + 15*h**2/2 + 9*h + 676. Find the second derivative of y(v) wrt v.
-1680
What is the second derivative of -313 - 2*c**2 - 72*c - 2*c**4 + 201*c + 367*c**3 - 59*c - 74*c wrt c?
-24*c**2 + 2202*c - 4
Let g(y) = -257*y**3 + 4619*y**2 + 9*y. Let a(j) = -511*j**3 + 9239*j**2 + 21*j. Let q(r) = -3*a(r) + 7*g(r). Find the third derivative of q(n) wrt n.
-1596
Let s(y) = 3302*y**4 - 28*y**3 + 7*y - 103. Let r(f) = -1650*f**4 + 12*f**3 - 4*f + 51. Let z(c) = 7*r(c) + 3*s(c). Find the second derivative of z(n) wrt n.
-19728*n**2
Let a(d) = 1459*d**2 + 585*d - 121. Let k(t) = -730*t**2 - 293*t + 56. Let h(g) = 6*a(g) + 13*k(g). Find the second derivative of h(j) wrt j.
-1472
What is the third derivative of -1431*d**3 - 2704*d**3 - 4598*d**2 - 1451*d**3 + 341*d**2 - 3606*d**3 wrt d?
-55152
Let w(r) be the second derivative of r**6/15 - 6099*r**5/20 + r**4/4 - 17*r**3/2 + 12107*r. Find the third derivative of w(k) wrt k.
48*k - 36594
Let s = -296 + 303. Find the third derivative of -s + 8 + 58*u**2 + 106*u**3 - 1 wrt u.
636
Let a(p) = 13*p**2 - 92. Let f(h) = -5*h**2 + 6222*h + 17*h**2 - 91 - 6222*h. Let n(k) = 3*a(k) - 4*f(k). What is the first derivative of n(g) wrt g?
-18*g
Let m(l) be the first derivative of -l**6/6 - 1795*l**4/4 - 7*l**3/3 + 211*l**2 + 9224. What is the third derivative of m(v) wrt v?
-60*v**2 - 10770
Let k = -87 - -123. Let u = 39 - k. Find the third derivative of -4*f**2 - 23*f**2 - 25*f**6 - 129*f**u + 129*f**3 wrt f.
-3000*f**3
Let q(i) = 4560*i - 4127. Let v(u) = -913*u + 825. Let j(a) = 2*q(a) + 11*v(a). Find the first derivative of j(c) wrt c.
-923
Suppose 2*v + 36 = 24. Let o be 7/((-35)/v)*5. What is the third derivative of -7*r**6 - r**o + 19*r**2 - 23*r**2 wrt r?
-960*r**3
Let q(f) be the third derivative of -409*f**5/15 + f**4/12 - 8*f**3/3 + 2667*f**2. What is the second derivative of q(i) wrt i?
-3272
Suppose -140 = 7*j - 21*j. What is the third derivative of -j + 9 + 4 + 10*x**2 + 216*x**3 - 2 wrt x?
1296
Find the first derivative of 254*u + 634*u + 1398 + 468*u + 139*u wrt u.
1495
Let o(c) = -4*c**3 - 121*c**2 - 84*c - 2. Let n(r) = -4*r**3 - 130*r**2 - 85*r - 2. Let i(s) = 3*n(s) - 4*o(s). Find the second derivative of i(l) wrt l.
24*l + 188
Let u(r) = 10*r - 77. Let a be u(18). What is the second derivative of a + 3*j**3 + 8*j**3 - 54 - 47 + 6*j**2 - 109*j wrt j?
66*j + 12
Let j be ((-150)/(-20) - 8) + (-27)/(-6). Find the third derivative of 3 + q**3 - 214*q**2 - 171*q**j - 3 - q**3 wrt q.
-410 | {
"pile_set_name": "DM Mathematics"
} |
-2/9)*h)*h**(-9)/((h/(h**9*h*h))/h)*((h**0)**(2/3))**(-38) assuming h is positive.
h**(20/9)
Simplify ((b**20*b)**(-1/15)/(((b/b**(-17/5))/b)/((b*b**(-1/37)*b)/b)))**(-47) assuming b is positive.
b**(33276/185)
Simplify (((q**(4/5)/q**(1/21))**(-44))**(2/15))**(16/11) assuming q is positive.
q**(-10112/1575)
Simplify (((o/(o*o**(-1/43)*o))**(7/11))**(-3/7))**(2/23) assuming o is positive.
o**(252/10879)
Simplify ((l**2/(l*l/l**2))/((l**(1/10)/l)/l**(-1)))/((l**(-1))**25*l/l**5*l**(-2/5)*l*l*l) assuming l is positive.
l**(283/10)
Simplify (y**3*y**4*y**3*y*(y*y/y**(2/15))/y)/((y/(y*y*y/(y/(y/(y*y**(-1/4))))))**(-12)/(y**(1/10)/y*y*y**(-5))) assuming y is positive.
y**(-241/30)
Simplify (r*(r*r**(-1)*r)/r*r)**(-50)*(r*r**(1/2)/r*r)/r**1*(r**(-3)/r**(-9))**35 assuming r is positive.
r**(221/2)
Simplify (g**(2/3))**36/(g/g**2*g*g**5/g)*(g**(-3)*g*g*g**(-3/10))**(-3/17) assuming g is positive.
g**(3439/170)
Simplify ((r*r**9/r*r)/r**(-2/3)*r**(-14)/r**(-4))**(-2/59) assuming r is positive.
r**(-4/177)
Simplify (((k/((k/k**(-18))/k))/(k/k**(-2)))/(k**(-2/57)*k/k**(-9)))**(-47) assuming k is positive.
k**(80276/57)
Simplify (n**1/(n*n/((n*(n**(-1/9)/n)/n*n)/n)))/(n**(-2/9)*n/n**(-2/11)*n)*n*n*n*n**(1/3)*n*n/n**(-8)*n**5/n*n*n**(-3) assuming n is positive.
n**(1115/99)
Simplify (a**(1/4))**14/((a/(a*a*a**(-4)))/(a/(a/(a/(a*a*(a*a**(-5))/a*a*a))*a)))*(a**(1/4)/(a**(-1/4)*a))**(-12/7) assuming a is positive.
a**(33/14)
Simplify (s**(-24)*s*s*s*(s**(-15)/s)/s)/(s/(s**(9/8)*s)*s**9) assuming s is positive.
s**(-367/8)
Simplify o**(-3/2)*o*o*o**1*o*o**3*o**6*o*o*o**(-2/9)*o*o/o**(-1)*o*(o/o**(-1/4))**(-6) assuming o is positive.
o**(88/9)
Simplify ((((t/(t*t/(t*t**(2/61))))/t)/t)**(-27/2)/(t/t**(-19)*t/(t/(t*t*t**(-3/7)*t*t*t)*t)*t))**(14/9) assuming t is positive.
t**(1696/549)
Simplify (x*x/(((x**0/x)/x*x)/x))**34/((x/x**(-2/11))/(x*x**(2/11)))*((x**(-2/3))**(3/7))**(-8/7) assuming x is positive.
x**(6680/49)
Simplify (f**(-1)*f**(4/3)*f*f)**(9/5)*((f/((f**(1/2)/f)/f*f))**22)**(-1) assuming f is positive.
f**(-144/5)
Simplify (n**33*n*n*n*n/(n/(n**(3/5)/n))*(n**(-1)*n)/(n*n**(-3/14)))**(-12) assuming n is positive.
n**(-14622/35)
Simplify ((c*c/c**(2/5))/c)**43/(c/(c/(c/c**(-2)))*c*c**(-2/19))*((c**(-2/3)*c)/c)**(-39)*c**(-4)/(c/c**(-5)) assuming c is positive.
c**(3601/95)
Simplify ((((k/k**(2/5))/k)**50/((k/(k*k**(-1)))/(k/(k*k**(3/4)*k))))**(-2/19))**(9/10) assuming k is positive.
k**(819/380)
Simplify (z**(-2)*z**(-3/5))**(-6/7)/(((z*z**0)/z)**(1/4)*((z**(-1)*z)/z*z*z*z)**(2/77)) assuming z is positive.
z**(838/385)
Simplify ((((c*c*c**(-2/15)*c)/(c*c**(10/13)*c))**(-2/9))**29)**18 assuming c is positive.
c**(-2204/195)
Simplify (((p**(1/7)/p**(1/18))**(-2/105))**(-24))**(-5) assuming p is positive.
p**(-88/441)
Simplify ((y**(2/3)*y)**(12/11)*y**(2/9)*y**(3/16))**(-32/7) assuming y is positive.
y**(-7058/693)
Simplify ((q**1)**(-21))**(7/6)*(q**0)**37*(q**(-2/7))**(-2/31) assuming q is positive.
q**(-10625/434)
Simplify (f*f/((f*f**(11/4))/f)*f*f**(4/9)*(f/((f/(f/f**(3/7)))/f))/f**(2/9))**(-1) assuming f is positive.
f**(-515/252)
Simplify (((r/(((r/(r/r**3*r)*r)/r)/r))/r)/(r*((r*r**(-1/4))/r)/r*r))**(4/5)/(r*r/r**(-4/5)*r*r**(1/6)*r**(-2/15)/r**5) assuming r is positive.
r**(-7/30)
Simplify (((n/(n*n*n/(n*n**(-2/5)/n)*n))/n)/n**(-2)*n/n**(-2/7)*n*n/(n*n/(n**(4/9)*n)))**(9/10) assuming n is positive.
n**(52/175)
Simplify ((t**(-2/3)/t*t**25/t)/(t/t**(-1/28)*t**4))**(-10) assuming t is positive.
t**(-7265/42)
Simplify (h/(h/(h/h**(-2))))**(-12)/(h*h/(h**(-1)*h*h)*h*h*h**(-8/5)*h)*((h/((h*h**(-6/7))/h))/h**7)/((h*h**(3/5))/h**4) assuming h is positive.
h**(-288/7)
Simplify (((x/(x*x/x**(4/9)))/x)/(x/(x/x**9)))**(-1/20)/(x/(x*(x**(1/2)*x*x)/x)*x**(-9))**(8/11) assuming x is positive.
x**(3233/396)
Simplify (((((g*((g**12*g)/g)/g*g*g)/g)/g**(-1/3))/(g/g**3*g)**(-2/143))**29)**(-37) assuming g is positive.
g**(-6131122/429)
Simplify ((z*z/(z*(z**(-1/7)/z*z)/z))/z)/(z*z**(-4)*z)*(z**1)**15*z**(-1/7)*z/(z*(z*z**(-2/3)*z*z)/z)*(z**(-2/7)/z)**(-28) assuming z is positive.
z**(158/3)
Simplify ((l*l/(l*l/(l/(l*l/l**(-19)*l))*l))/l*l*l*(l/(l/l**24))/l*l*l**(-2/45)*l/l**0)**(-26) assuming l is positive.
l**(-4628/45)
Simplify ((b*(b**(-8)*b)/b)/(b/b**(-6)))**(-5/6)*((b/b**(1/3))**(-41))**(5/3) assuming b is positive.
b**(-305/9)
Simplify ((((c**(-1/3)*c)**43)**(-38))**(-4/23))**5 assuming c is positive.
c**(65360/69)
Simplify ((((k/(k*k/k**1))**(-10/13))**(-2/85))**(-9))**(1/19) assuming k is positive.
1
Simplify (z*z**(2/3)/z*z*z*(z/(((z/z**4*z)/z)/z))/z)/(z**(-1))**(-7/5)*(z/((z*z/z**(2/7))/z))**47/(z**(-3/7)*z**(1/13)) assuming z is positive.
z**(25999/1365)
Simplify (l**(-5/3))**(-2/5)*l*l**(-1/13)*l/l**(3/8) assuming l is positive.
l**(691/312)
Simplify (h*h/h**(5/8))**(-1/40)*(h**(5/3))**(-45) assuming h is positive.
h**(-24011/320)
Simplify (g/(g*g/(g/(g*g/(g**(2/9)*g))))*g**9/g*(g/(g**(-3/14)/g))**(7/3))**(1/4) assuming g is positive.
g**(223/72)
Simplify ((b*b*b**13)/b)/b**(3/29)*b**32*b*b**(-6) assuming b is positive.
b**(1186/29)
Simplify (c**20/c**(1/13)*((c*(c/(c/c**6*c))/c)/c)**(-2/57))**(-4/15) assuming c is positive.
c**(-58636/11115)
Simplify (v*v**(2/7)/v*v*v*v**3)/(v**(-1/4))**(-5/8)*(((v/(v*v/(v*v**(-2/7)))*v)/v*v)**(8/5))**14 assuming v is positive.
v**(4733/224)
Simplify ((x/(x*x**(3/4)*x))/((x*(x*x/(x*x**(-12/5)))/x)/x)*(x/x**7)/x*x**(-20/7))**(-21/5) assuming x is positive.
x**(5883/100)
Simplify (z**(1/3)*z**6)**(-8/17)/((z*z/((z/(z**2/z)*z)/z)*z*z/(z*z**4*z*z))/(z**1*z/z**4)) assuming z is positive.
z**(-101/51)
Simplify (((o/(o/o**(-1/3)))**31*(o**(-3/7)/o)/(o*o/(o**(-3)*o)))**(-2/15))**32 assuming o is positive.
o**(21184/315)
Simplify (p**(-3)/p*p**(-1/5))/(p/(p*p*(p*p*(p*p*p**(-1/3))/p)/p*p)*p*p)**(-21)*(p/p**(-7)*p*p/((p*(p**(-7)/p)/p*p)/p))/(p**(-1))**(-17) assuming p is positive.
p**(-191/5)
Simplify p*p**(1/12)/p*p**7*(p**1)**(-8/5)*(p**(-4)/(p**(-2/7)*p*p))**4 assuming p is positive.
p**(-7297/420)
Simplify (w**(-1/4))**26/(w/(w*w**(2/3)/w)*w**6)*(w*(w*w*w**0/w*w)/w*w**3)/(w**(2/7)*w**(-3)*w) assuming w is positive.
w**(-257/42)
Simplify ((l**(-7)/(l*l*(l**4*l)/l*l)*(l/((l/l**(-1))/l))**(-1/3))**(-7/2))**(-7/3) assuming l is positive.
l**(-343/3)
Simplify ((d**(-1/2)/d)**40/((d/d**(2/21))/d*d*(d*d/d**2)/d))/(((d/d**(1/8))/d)/(d*d**(1/2)/d)*(d*d**(-3))/(d**1*d)) assuming d is positive.
d**(-9287/168)
Simplify (j**(-1/5)*((j**(-36)*j)/j)/j)/(j/(j**(-2/13)/j))**(-1/2) assuming j is positive.
j**(-2348/65)
Simplify (((k/(k/k**(-3/7)))/k*k)**15/(k**(4/5))**(7/8))**(-36) assuming k is positive.
k**(8982/35)
Simplify ((d/((d*d**(-2/43))/d))/(d*d/d**11*d*d)*d/(d**(-11)/d)*d*d**(-6/11))**(-15) assuming d is positive.
d**(-152550/473)
Simplify (o**(-9)*o**(-3/5))/(o*o**(-37)*o*o**(1/7)*o) assuming o is positive.
o**(849/35)
Simplify j/(j/j**(-5))*j/(((j*j**1/j)/j)/j)*j**4*j*j**(-1)*(((j**4/j)/j)/((j/(j**(1/4)/j))/j*j))**(-22) assuming j is positive.
j**(-9/2)
Simplify ((s**(-2)*s)/(s/s**(6/19)))/(s**47*s*s**(-30)*s) assuming s is positive.
s**(-393/19)
Simplify ((t**(-6)/(t/t**(5/4)))/(t**(-2/5))**7)**(7/6) assuming t is positive.
t**(-413/120)
Simplify (((b**(1/3)/b)**(-2/29)/(b*b*b**0)**(18/7))**(2/133))**(2/17) assuming b is positive.
b**(-12416/1376949)
Simplify (o/o**0)**(3/11)/(o/o**(2/3)*o*o**(-5)*o)*(o*o**5*o*o*o*o/(o*o**(-2/5)*o)*o*o*o)/((((o/(o*o*o**(-2/9)*o*o)*o)/o)/o)/o**5) assuming o is positive.
o**(11443/495)
Simplify m**0*m**(3/5)*m**5*m/m**(1/15)*(m**(-1)*m)**(-6)*(m*m**(2/3)/m)/m**(2/7) assuming m is positive.
m**(242/35)
Simplify (i**(2/19)/((i/(i*i**(-12)))/i))**(-7/3)*(i*i**(-2/23)*i)/(i/(i*i/i**1))*(i*(i*i**9)/i*i)/(i*i/((i/(i**4/i))/i)) assuming i is positive.
i**(14567/437)
Simplify ((n**(1/4)*n)**(2/55))**(-15)/((n**(-1)*n*n)/(n**13/n))**(2/33) assuming n is positive.
n**(-1/66)
Simplify (((s/(s/((s*s**(6/7)*s)/s*s)))/s*s**(-4))/(s*s*s**0*s*s*s**(-2)))/((s**(-1)*s**(-3))/(s**(1/5)*s**(1/11))) assuming s is positive.
s**(57/385)
Simplify (((((b*b**37)/b)/b)/b)**(-1/17)/(b**(-9/5)*b*b**(-9/5)))**(-46) assuming b is positive.
b**(-2116/85)
Simplify (c**(-1/7)*c)/c*c**0*(c**(2/5))**(-12/5)*((c**1/c*c)/c)**(-10)*(c/(c/c**(-2/3)))**13 assuming c is positive.
c**(-5129/525)
Simplify (((f/(f**2/f*f))/f)**(1/3)*(f**2 | {
"pile_set_name": "DM Mathematics"
} |
at least p?
False
Suppose 3*i = z + 15, 17*z + 2*i - 10 = 19*z. Is z bigger than 2/653?
False
Let u = 8 + -10.068. Let n = 0.068 + u. Which is greater: n or 1?
1
Let j = 0.9404 - -0.0596. Which is smaller: j or -0.0068?
-0.0068
Suppose 10 + 12 = -2*q - 4*u, -7 = 2*q + u. Is 5/33 less than q?
False
Let k = 1/71 - 147/355. Let d = 8.3 + -22.2. Let n = 14 + d. Is n less than k?
False
Suppose 0*l + 2*l + 3326 = -u, l + 9963 = -3*u. Let p be (-1)/(-6) + u/48 + 4. Which is bigger: p or -64?
-64
Suppose -4*h - g + 52 = -h, h = 2*g + 8. Which is greater: 69/4 or h?
69/4
Suppose -5 = -0*g - 5*g. Let h be ((2 - 3) + g)/1. Which is smaller: 3/16 or h?
h
Let n be ((-4)/(-5))/(121254/28765). Let k = n + 2/2887. Which is bigger: k or -1?
k
Let c be (46/69)/((-35)/3). Suppose 5*d + 58 = 158. Suppose 2*q = 4*m + d, -4*q - 4*m + 3*m - 5 = 0. Which is smaller: c or q?
c
Let j be (5 + 31/(-8))*4. Is 5 at most as big as j?
False
Let g be 6*12/(-360) - (-1774)/8770. Which is greater: -1 or g?
g
Let m = -112 + 101. Is 46 less than m?
False
Let u be (228/24 + -12)*-2. Which is bigger: u or -5?
u
Suppose -25 = -5*i, -5*i + 39 = 2*f - 3*f. Let q be 6/(-9) + f/(-3). Let h = 18 + -16. Do h and q have different values?
True
Let l = 256 - 266. Which is smaller: l or -9?
l
Let s(u) = u**3 + 5*u**2 + 2*u - 1. Let v be s(-4). Let j = v - 10. Let r be j/(-10)*150/(-36). Is r greater than or equal to -1?
False
Suppose 0 = -2*i + 3*y - y + 12, i + 4*y = -4. Suppose 111 = i*r - 17. Suppose 5*f + 13 = -r. Which is bigger: f or -8?
-8
Let o be 2/6 - 4/3. Let u be 9/o*1 + 1. Let c = -7 - u. Are c and 2/15 equal?
False
Let t = -775 - -5413/7. Suppose -28 = q + 7. Let f be 14/q + 6/(-10). Is t < f?
True
Let h = -157 + 158. Do h and -1/10 have the same value?
False
Suppose -8*a + 11 = -3*c - 9*a, 4*c + 4*a + 4 = 0. Are c and -18 equal?
False
Let p = 29768/117 + -2290/9. Let q be (-1 + 1)/((-4)/(-2)). Is q greater than p?
True
Let f be (-6826)/3896 + 2 - (-1)/(-4). Which is bigger: 1 or f?
1
Let i(y) = y**3 - 12*y**2 + 9*y + 31. Let l be i(11). Let v be (0*(-2)/4)/(-1). Suppose -3*h - 2*a = a - 39, a - 4 = v. Is h not equal to l?
False
Let d be 5/(-1)*(-2)/50*5. Which is smaller: 4/75 or d?
4/75
Suppose 9 = b + 2*m - 5, -3*b - 2*m = -34. Which is smaller: b or 12?
b
Let k = -0.1 - 0.6. Let b = 6.7 + k. Let n = b - 6. Is 1 bigger than n?
True
Let k(b) = 3*b - 3. Let m be k(2). Suppose -6 = 3*p - 0, 2*p - 29 = m*x. Let z = 70 - 81. Is x at least z?
True
Let s = -594 - -24356/41. Is s equal to 0?
False
Suppose -5*l + 0*l = -5. Let p be ((1/(-2))/1)/(150/20). Which is bigger: p or l?
l
Let c = -1/1143 + -58286/8001. Which is smaller: -6 or c?
c
Let y = -275/4 - -143/2. Let l = -1 + 3. Which is smaller: y or l?
l
Let x(c) = -2*c**2 - 2*c - 1. Let z(a) = a**2 + 5*a - 14. Let g be z(-7). Let i be x(g). Are 2/61 and i equal?
False
Let y = -17 - -24. Let q = y + -24. Let z = q - -14. Is -12/7 smaller than z?
False
Let l be (-1)/(-5) + 142/(-35) + 9. Is l at most as big as 6?
True
Suppose 0 = -14*q + 18*q + 72. Let x be ((-6)/4)/(3/(-414)). Let k be (-257)/q + 46/x. Which is greater: 16 or k?
16
Suppose g + 4*j = 3*g - 16, 2*g - 16 = -5*j. Let l = 7 - g. Let z = 19/10 - 533/270. Is l < z?
True
Let k = -4 + 3. Let y be (-1631)/(-1470) - k/(-1). Let c = y - -2/35. Are 0 and c equal?
False
Let k(p) = 0 - 2 + 7*p - 12*p**3 + 11*p**3 + 4*p**2. Let l be k(5). Suppose -l = -4*u - 4*g, -5*u + 4*g = -3*u + 14. Which is bigger: u or 4/9?
4/9
Suppose m + m - 10 = 0. Suppose 5*u + 7 + 10 = -3*y, 0 = 3*y - m*u - 23. Let p = 3289 + -3290. Which is smaller: y or p?
p
Let t(a) = 3*a**3 + 7*a**2 + 11*a - 22. Let i be t(-6). Is i at most as big as -483?
True
Suppose 3*i = 13 + 26. Let g be (-41)/3 + (30/(-9))/(-5). Let r = g + i. Which is smaller: 1/7 or r?
r
Suppose 1968 = 37*y - 29*y. Which is smaller: y or 244?
244
Let u(a) = a**2 - 2*a + 1. Let h be (-1 + -3 - -4) + 1 + -1. Let p be u(h). Suppose -s + 6*s = 15. Which is smaller: s or p?
p
Let q(r) = 5*r**2 + 2*r - 2. Let f be q(2). Do 26 and f have the same value?
False
Let o = -4 + 4.1. Let q(y) = 3*y + 19. Let w = -71 + 63. Let r be q(w). Which is smaller: o or r?
r
Let z = -41 - -49.2. Let g = z + -24.2. Which is bigger: g or -1?
-1
Let f(m) be the second derivative of -m**3 - 21*m**2 + 2*m. Let v be f(-8). Which is smaller: v or 7?
v
Let f = 365 + -363. Are f and 29/15 equal?
False
Let a be 1932/(-385) + (-45)/(-9). Which is smaller: a or 0.1?
a
Let i = -1/11822258 + -358728685603/236445160. Let w = i + 1517. Let x = 2/15 + w. Is x less than -1?
False
Let u be (-12)/(-10)*7360/(-96). Is -93 bigger than u?
False
Let h = -29 + 31. Let a be 22/18 - (3 + (-4)/h). Let s = 3.07 - 0.07. Which is smaller: s or a?
a
Let f = -14.33 - -12.712. Let z = -30.678 - f. Let x = -29 - z. Which is smaller: x or -2/5?
-2/5
Let a = 0.08 + -0.98. Let s = 58 + -57. Let f = s + a. Is f equal to -0.5?
False
Let o(n) = -n + 5. Let r be o(3). Suppose 22 - 18 = r*l. Which is greater: l or 4/5?
l
Let o = 19 - 65/3. Let n = -15952 - -15950. Is n at least o?
True
Suppose 3*y = y + 2*h + 18, -4*y + 36 = 3*h. Is 6 greater than or equal to y?
False
Let f be ((-168)/20)/((-52)/30) - 3. Is -2/7 greater than f?
False
Suppose -2*q + 3*m = -0*q - 16, 0 = -5*q - 2*m + 21. Let d be ((1/(-5))/(2/q))/(-2). Which is smaller: -8 or d?
-8
Let z = 102.9 - 103. Let x = -2/4955 + -59426/84235. Is x less than or equal to z?
True
Let u be (6/(-10))/(6/4). Suppose 0 = -5*f - 3*a - 326, -4*a - 3 = -4*f - 251. Let l be (-1 - 1) + (f/(-7))/4. Which is smaller: u or l?
u
Let u = -0.142 - 60.858. Let v = u - -59. Which is greater: 0 or v?
0
Let a = 17/36 + -1/4. Let n = 0 - -6. Suppose -q + n*q = 0. Which is smaller: a or q?
q
Let a = 908 - 11807/13. Which is smaller: a or 0?
a
Let t(r) = -2*r**3 - 21*r**2 + 8*r - 32. Let n be t(-11). Is -15/32 >= n?
False
Let v = 367.88 + -376. Let x = -1.42 - v. Let i = x + 1.3. Is -2/5 smaller than i?
True
Let o be (2/(8/(-25)))/((-7)/(-28)). Is o not equal to -22?
True
Let b(u) = -13*u + 1. Let q be b(-1). Let n(i) = i**2 + 1. Let g(v) = 5*v**2 + 13*v + 20. Let p(c) = g(c) - 6*n(c). Let t be p(q). Is -1/69 less than t?
True
Suppose -2*u - u = -p + 13, -4*u - 28 = 4*p. Let x be (28/(-12) + -4)*p - 3. Which is bigger: x or 11?
11
Let i be (1/2)/(14/(-8)). Let w be ((162/(-15))/3)/(1204/4220). Let m = w - -88/7. Is m not equal to i?
True
Let s = -689 - -689. Let c = -48 + 30. Which is smaller: c or s?
c
Let u = -30.47 + -1.53. Is -7 greater than u?
True
Let k = 13 + -10. Suppose 0 = -k*z + 3*r + 39, 2*r + 23 = 3*z + 3*r. Let t = z - 14. Is -11/2 at most t?
True
Let o = 50.753 + -50.3. Let h = o - -19.447. Let b = 20 - h. Which is smaller: -7 or b?
-7
Let a be (189/(-84))/((-1)/88). Suppose 11*r - 5*r - a = 0. Are r and 34 unequal?
True
Let p = -0.78 - -0.98. Which is smaller: p or -2/13?
-2/13
Let q(u) = u**2 + 5*u - 9. Let d = 2 + 9. Suppose 5*i - 24 = 2*x - 0*i, -5*i = 3*x + d. Let v be q(x). Is 4 at least v?
False
Let b = 77013/73 + -1055. Is 1/2 >= b?
True
Let m = -368 + 339. Let z be (-82)/3 + (-4)/6. Which is smaller: z or m?
m
Let h = 2132/36915 - 7/115. Which is smaller: h or 0?
h
Suppose -5*n + w - 2*w = 5, -2*n = -2*w - 10. Suppose 5*b - s - 8 = n, -b + 4*b + 9 = -4*s. Let o be (b/(-3))/(9/27). Is -3/10 less than or equal to o?
False
Let p be 1/(-5)*0 - -3. Let l be (-9)/6 + -4 + p. Is 1 < l?
False
Let j = -3.28 + 9.28. Which is greater: j or 5/12?
j
Let x(u) = -2*u - 2. Let b(r) = -r - 1. Let h(g) = -2*g - 2. Let n(i) = -3*b(i) + h(i). Let a(p) = -8*n(p) - 3*x(p). Let z be a(-5). Which is smaller: 6 or z?
6
Let h(o) = -o**3 + 20*o**2 - 19*o - 5. Let y be h(19). Let i be (-45)/y - (-2)/1. Is 0.2 greater than or equal to i?
False
Let k be (-14 - 289)*(-8)/(-12). Is -202 at most as big as k?
True
Let h(l) = l**3 + l**2 + l + 1. Let g(p) = -2*p**3 + 3*p**2 - 3*p - 7. Let a(u) = g(u) + 3*h(u). Let j be a(-6). Let d = -175 - -171. Does d = j?
True
Let f be 48/27*((-15)/36)/(-5). Which is bigger: 1 or f?
1
Let i = -0.18 - -4.18. Let g = -2.8 + 2.61. Let r = g + 0.09. Which is smaller: i or r?
r
Let j be (1 - (1 - 1)) + -114. Let n = j + 58. Let l = n + 1263/23. Is l less than or equal to 0?
True
Let s = -415 - -416. Is s > -36/7?
True
Suppose -5*a + 249 = 764. Let n = | {
"pile_set_name": "DM Mathematics"
} |
in descending order.
r, 1/4, -2, n
Let d(i) = -4*i + 1. Let s be d(1). Let q be -2 + (-4 + 2 - 4) + 10. Sort 4, q, s, 0 in decreasing order.
4, q, 0, s
Let z be (-4)/3 - ((-910)/15)/14. Suppose -3 = -3*p - 0*p + 3*x, 4*p = -4*x - 12. Put p, 1, z in descending order.
z, 1, p
Let y be (-3)/12 + 623/28. Suppose 0 = -5*a + 4*j, -4*a = 2*j - 4 - y. Sort 26, a, 0 in decreasing order.
26, a, 0
Let p be (-2)/(-3)*(-81)/(-12). Let x = p - 6. Suppose 0*a - a - 5 = 0. Put -4, x, a in increasing order.
a, -4, x
Suppose 2*c - 3*y = 4*c + 11, -c - 3*y = 7. Put 14, 0, c, 2 in ascending order.
c, 0, 2, 14
Let l be 4/2 + -4 + (-15)/(-5). Let p be l - (-25)/(-20) - 30/8. Let i(s) = -2*s + 6. Let m be i(4). Sort m, p, 3 in decreasing order.
3, m, p
Suppose -21 = v - 2*f, 3*v - 2*f = f - 63. Suppose -25 - 200 = 5*b. Let t = -50 - b. Put v, 0, t in decreasing order.
0, t, v
Let y = -0.1 - 0.4. Let u = -13 + 13.2. Let k = -50 - -52. Put y, k, u in descending order.
k, u, y
Let a(c) = c**2 + 8*c + 20. Let f be a(-3). Put -7, 16, f in descending order.
16, f, -7
Let b = 24.7 - -1.3. Let f = b - 25.6. Suppose 0 = 2*q - 0*q. Put q, -4, f in descending order.
f, q, -4
Let w be -6 + (28/8 + -3)*18. Put -6, w, -24, 4 in descending order.
4, w, -6, -24
Suppose -2*h - 1262 + 1254 = 0. Suppose 0*b + 16 = 4*w - 2*b, 2*w + 2*b - 8 = 0. Suppose 0 = 5*a - w - 1. Put h, a, -0.3 in increasing order.
h, -0.3, a
Suppose -4*o + 16 = 2*r, -4*o - 5*r = -6*o + 20. Let c be -5*(40/25 - 2). Suppose 0*d - 5 = -5*d. Sort c, o, d in ascending order.
d, c, o
Suppose -2*h - 16 + 48 = 0. Put -1, h, 3 in decreasing order.
h, 3, -1
Let h = 3.9 - 6.9. Let d = -29 + 24. Sort d, -0.1, h.
d, h, -0.1
Let s(i) = -i. Let d = 0 - -1. Let k be s(d). Suppose -5*n + 7*n = 8. Sort 1, n, k in descending order.
n, 1, k
Let a = -142 - -111. Sort -1, 3, a in decreasing order.
3, -1, a
Let s = 29 - 317/11. Let a = -0.087 + -0.013. Put s, a, -5, -1.7 in descending order.
s, a, -1.7, -5
Let u be 88/(-20) + 4/10. Let t(o) = -2*o + 8. Let g be t(0). Let w be ((-5)/(-2))/((-2)/4). Sort g, u, w.
w, u, g
Let k = -0.575 + 0.505. Sort 11, 3, 2, k.
k, 2, 3, 11
Let p = -0.0626 - 0.9374. Put 24, p, 1 in decreasing order.
24, 1, p
Suppose 3*o = -86 - 10. Let y be ((-2)/8)/((-28)/o)*7. Suppose -2 = x + x. Sort y, x, -2/7 in increasing order.
y, x, -2/7
Let g(u) = 3*u - 30. Let n be g(11). Put 27, n, -3 in decreasing order.
27, n, -3
Let x(y) = -2*y**2 + 14*y + 8. Let g be x(8). Suppose -12 = 4*m - 0. Put 0, g, m in descending order.
0, m, g
Let b = 28.9 - 29.3. Put b, 0.5, -1/6, 3 in increasing order.
b, -1/6, 0.5, 3
Let b = 0.56 - -0.14. Let q = 3.8 + -1.1. Let n = q - b. Sort 1/7, n, 5/4 in ascending order.
1/7, 5/4, n
Suppose 5*d = 12*d - 21. Suppose -2*n + 2 = -d*n - 5*y, 5*y = -4*n - 8. Sort 2, 1, n, -4 in decreasing order.
2, 1, n, -4
Let g = 0.15 - 0.05. Let c = 2.7 - 3.3. Let o = c - 3.4. Sort g, o, 4.
o, g, 4
Let b be 174/(-9) - 3/(-9). Let i = b + 15. Let o be 6*i/(-252) + 0. Put 0.4, 4/9, o in descending order.
4/9, 0.4, o
Let u(b) = -4*b + 37. Let n be u(5). Suppose -2 = n*s - 87. Let q be 52/(-14) - (-4)/(-14). Put q, 2, s in increasing order.
q, 2, s
Let a = 230 - 228. Sort 1, a, -9 in descending order.
a, 1, -9
Let z(g) = -g**2 + 4*g - 4. Let p be z(4). Suppose 2*h - 3*o + 3 + 1 = 0, 5*o = -4*h + 36. Suppose 2*d - 4 = h. Sort p, 5, d in decreasing order.
5, d, p
Suppose 371*r + 34 = 388*r. Sort -4, 5, r, 75.
-4, r, 5, 75
Let u = -50.3 + -24.7. Put -2, u, 1/9 in increasing order.
u, -2, 1/9
Suppose 4*u = m + 8, 4 = 5*u + 5*m - 31. Suppose 3*v - 41 + 112 = 5*n, -4*n - v + 67 = 0. Sort u, n, 4 in decreasing order.
n, 4, u
Let w(d) = d**2 + 2*d - 5. Let p be w(-3). Let l be (11 + -13)/((-1)/p). Let q be l*3*(-3)/(-36). Put q, -2, 7 in decreasing order.
7, q, -2
Let s(t) = t - 3. Let k be s(5). Suppose 4*a + 52 = 4*b, 6*a - 14 = -k*b + 4*a. Put -3, b, 0 in increasing order.
-3, 0, b
Suppose -3*y - y = z - 5, -2*z + 10 = y. Suppose y = -5*t - 497 - 53. Let g be (-1)/(-5) + (-33)/t. Sort g, -3, -0.06 in ascending order.
-3, -0.06, g
Let g = -28.38 + 28.78. Let u = -2 - -4. Suppose u*b - 2 = -4. Put g, b, 0.3 in descending order.
g, 0.3, b
Suppose -4*l - 1 = n, 2*n + 9*l = 11*l - 12. Put 12, n, 13 in ascending order.
n, 12, 13
Let a be 1/(-5)*4 - 0. Let l be (-14)/36*(-88)/(-154). Put 1, -0.07, l, a in descending order.
1, -0.07, l, a
Let t = 18/31 + -41/124. Sort t, -2.7, 1/3, 4 in descending order.
4, 1/3, t, -2.7
Let x = 1.9 - 2. Let p be (-10)/(-7) + (-6 - -4). Let s = p + 22/63. Sort -3, x, s in decreasing order.
x, s, -3
Suppose -4*z + 4 = 2*u, 3*z + u = -96 + 97. Sort z, 2, -4, 43 in ascending order.
-4, z, 2, 43
Let t = 7 - 5. Let o = 8.6 - 1.6. Let f = t - o. Sort f, -0.3, -3 in decreasing order.
-0.3, -3, f
Let g = -1645/6 + 275. Let o = -0.932 + 0.032. Sort o, -2/7, g.
o, -2/7, g
Suppose a - 2 = i - 4, 0 = 2*i - 3*a - 5. Let f be (-18)/81 - (-220)/18. Let m = f - 14. Sort m, 0, i in increasing order.
m, 0, i
Let s be 4/(-3)*(-3)/2. Suppose 10 - 4 = s*y. Suppose -5 - 4 = -y*f. Put f, -8, -2 in increasing order.
-8, -2, f
Let a(s) = 3*s - 4. Let t be a(5). Sort -2, 5, t in descending order.
t, 5, -2
Let b(u) = u**2 - 19*u + 30. Let o be b(17). Sort 5, -0.02, 3/5, o.
o, -0.02, 3/5, 5
Let w = 35.7 - 36. Let n = -25/26 - -6/13. Put 4, n, w in decreasing order.
4, w, n
Let m = -68 + 71. Put m, 30, -2 in decreasing order.
30, m, -2
Let s(b) = -b**2 + 17*b - 61. Let n be s(5). Sort 7, n, -4.
-4, n, 7
Let p = 764 - 763. Sort 30, p, 3, -5 in decreasing order.
30, 3, p, -5
Let c be 1 + -7 - (-40)/4. Sort 5, c, 3, -5 in descending order.
5, c, 3, -5
Suppose -5*b + 2*a = -20, 3*a + 14 = 2*b + a. Let h(t) = -7*t - t**3 + 10*t + 5 + 0*t**3 - 5*t**b - 18. Let r be h(-6). Sort r, 4, -4.
-4, 4, r
Let v(w) = 63*w - 185. Let g be v(3). Sort -4.8, 0.2, g in decreasing order.
g, 0.2, -4.8
Suppose 4*r = 3*k + 18, -r - 2*r - 5*k = 1. Suppose -r*g = 3*i - 6, -2*g - 38 = -4*i - 0*g. Let p = 612.5 - 612. Put p, 5, i in increasing order.
p, 5, i
Let g = 72 - 68. Put 1, g, 0, -3 in increasing order.
-3, 0, 1, g
Let w be 2/(-3) + 56/21. Let p be (-3)/(w/(-6)*-3). Let f be (-6)/(-234)*13 - 16/(-6). Put p, 7, f in ascending order.
p, f, 7
Let a = -344 + 345. Let z be (6/(-10))/((-1)/5). Sort -4, a, z in decreasing order.
z, a, -4
Let v be 6 - (-1)/(-4 + 3 - 0). Let n be (-8)/v + 14/(-35). Sort 0, n, 4, -7.
-7, n, 0, 4
Let j = -2 - -5.4. Let b = j + -3.7. Let c = 5 - 4.7. Sort b, -5, c in increasing order.
-5, b, c
Let n be -2 + 0 - (-1 + 4). Let h(t) = t**3 - 23*t**2 - 26*t + 50. Let k be h(24). Suppose 0 = -j - j - 8. Sort n, j, k in descending order.
k, j, n
Let q(l) = -7*l + 3. Let i(m) = m**3 + 19*m**2 + m + 24. Let d be i(-19). Let b be q(d). Put b, -2, 1 in ascending order.
b, -2, 1
Let u(d) = 5*d**2 - 1. Let n(l) = -5*l**2 - l. Let f(g) = 3*n(g) + 2*u(g). Let z be f(-1). Sort 6, 0, -3, z in ascending order.
z, -3, 0, 6
Suppose -s + 68 + 85 = 5*a, 4*s + 39 = a. Put -8, a, -2/7 in ascending order.
-8, -2/7, a
Suppose -66*u = -64*u + 6. Sort u, 0.3, -1 in ascending order.
u, -1, 0.3
Let b(h) = -3*h + 1. Let n be b(-5). Let d(z) = 2*z**3 - z. Let j be d(1). Suppose 528*v - 497 - 545 = 542. Sort j, v, n.
j, v, n
Suppose 0 = 2*f - k + 2, 2*k - 2 = -5*f + k. Suppose -3*m = -5*b - 7 + 26, -4*b - 4*m + 28 = f. Suppose -b = 5*a, -2*z + 2*a = -2*a - 4. Sort 2, z, -1.
-1, z, 2
Let p be (-8)/(17/5 - 3). Let z be (-10)/p*1*6. Suppose -1 = -5*n + 5*l - 6, 5*l - 21 = -z*n. Put n, 0.4, 5 in descending order.
5, n, 0.4
Suppose -4*f = 3*q - 42, -q - 6*f + 15 = -5*f. Suppose 0 = -12*m + q - 6. Sort 2, 4, m in decreasing order.
4, 2, m
Let f = 332.4 - 332. Sort 16/9, 2/3, 0.3, f in increasing order.
0.3, f, 2/3, 16/9
Let r = -898 + 900. Sort -5, 0, 11, r in ascending order.
-5, 0, r, 11
Suppose -3*y = 3, 4*y = t - 25 - 7. Sort t, 4, -5 in ascending order.
-5, 4, t
Let g = -0.1 + -3.9. Suppose 245 = -9*h + 4*h. Let n be (14/h)/(8/(-35)). Put n, g, 3/4 in descending order.
n, 3/4, g
Let x = 0.04 - 0.55. Let r = x + 0.31. Put -5, 1, r in descending order.
1, r, -5
Let q = -304/5 + 61. Suppose 4*r + 498 = 3*j - 438, 0 = -r - 5*j - 211. Let b be (-1)/7 + (-47)/r. Sort b, q, 5 in decreasing order.
5, q, b
Suppose u + 0*u + 4*a + 16 = 0, a = 2*u + 5. Suppo | {
"pile_set_name": "DM Mathematics"
} |
rmine -y(b) + 5*z(b).
-3*b**3 - 23
Let k(r) = -2*r**2 + 6*r + 9. Let b(y) be the third derivative of y**4/24 + y**3/6 + 819*y**2. Give -6*b(q) + k(q).
-2*q**2 + 3
Let g(t) = t + 1. Let z be 6/(((-12)/3)/(-24)*9). Suppose -i = -0*u + 4*u - 7, 2*i + z = u. Let c(k) = 4. What is u*g(m) + c(m)?
2*m + 6
Let p(i) = 7*i + 4. Let u(d) = 3*d**2 + 90*d - 2027. Let k be u(-45). Let j(y) = 8*y + 4. Calculate k*j(f) + 3*p(f).
5*f + 4
Let u(g) be the third derivative of -2*g**5/15 + g**4/4 + 23*g**3/6 - g**2 - 1365. Let v(a) = -9*a**2 + 7*a + 22. Give -7*u(r) + 6*v(r).
2*r**2 - 29
Let v(z) = 992*z**2 - 40*z + 20. Let k(l) = -331*l**2 + 14*l - 7. Determine 17*k(n) + 6*v(n).
325*n**2 - 2*n + 1
Let u(c) = 11*c - 6. Let l = 1538 + -1555. Let g(i) be the first derivative of -16*i**2 + 17*i - 1. What is l*u(d) - 6*g(d)?
5*d
Let u(a) = 77*a + a**2 - 18 + 20 - 75*a - 7*a**2. Let t(n) = n**2. Give 4*t(q) + u(q).
-2*q**2 + 2*q + 2
Let a(c) = 6*c**3 - 2*c**2 - 2. Let q(f) = 11*f**3 - 5*f**2 + f - 5. Let m(d) = 89*d + 885. Let y be m(-10). What is y*a(w) + 2*q(w)?
-8*w**3 + 2*w
Let l(r) = -83*r**3 + r**2 + 228*r + 59. Let y(z) = 7*z**3 - 19*z - 5. What is 2*l(p) + 25*y(p)?
9*p**3 + 2*p**2 - 19*p - 7
Let n(f) = -42*f + 12. Let r(v) = 34*v - 35. Let m(o) = -51*o + 55. Suppose -11*x = 85 - 30. Let j(s) = x*m(s) - 8*r(s). Calculate 12*j(k) - 5*n(k).
6*k
Let m(j) = 2*j**2 - 3*j - 3. Let p(o) = 36*o**2 + 36*o + 46. Let n(v) = 9*v**2 + 12*v + 15. Let g(b) = 7*n(b) - 2*p(b). What is 6*g(i) + 26*m(i)?
-2*i**2 - 6*i
Let o(x) = -5*x - 11. Let v(s) = -2*s - 4. Let a(w) = -3*o(w) + 8*v(w). Suppose 27 = 12*p + 3*m, -1 = 156*p - 157*p + m. Let n(j) = 4*j - 1. Give p*a(k) + n(k).
2*k + 1
Let q(z) be the third derivative of -5*z**4/3 - z**3/3 - z**2 - 400. Let l(o) = 41*o + 2. Determine 5*l(w) + 6*q(w).
-35*w - 2
Suppose 159*l + 163 = -63*l - 59. Let o(y) = 3*y - 7. Let s(t) = 1. Give l*o(g) - 5*s(g).
-3*g + 2
Let t(r) = 24*r**2 - 23*r + 9. Let m(l) = 9*l**2 - 12*l + 4. Give -9*m(z) + 4*t(z).
15*z**2 + 16*z
Let o(p) = 3*p + 70. Let l(i) = -i**2 - 66*i - 194. Let m be l(-3). Let j(x) = -2*x - 47. Give m*o(b) - 7*j(b).
-b - 21
Suppose 0 = -2*i + 17 + 5. Let g(j) be the first derivative of 11*j - 4*j**2 + i - 8*j + j. Let v(d) = -9*d + 5. What is -5*g(l) + 4*v(l)?
4*l
Let q(c) = -23*c - 2. Let u(s) = -7*s - 18. Let g(h) = h + 3. Let r(j) = -6*g(j) - u(j). Determine -q(l) - 6*r(l).
17*l + 2
Let h(i) = -29*i - 3278. Let y(a) = -63*a - 6552. Give -13*h(d) + 6*y(d).
-d + 3302
Let g(b) = 2*b**2 - 1. Let p(u) = -5*u**2 - 9. Let x(f) = g(f) - p(f). Let l(a) = -13*a**2 - 15. Calculate 4*l(w) + 7*x(w).
-3*w**2 - 4
Let x(v) = 2*v**3 - 7*v**2 + 4*v - 5. Suppose 9*b = -0*b - 9*b - 90. Let z(f) = 2*f**3 - 8*f**2 + 3*f - 6. Calculate b*z(j) + 6*x(j).
2*j**3 - 2*j**2 + 9*j
Let f(n) = -7*n**3 + 4*n**2 - 17*n + 11. Let o(r) = 2*r**3 - r**2 + 3*r + 1. Calculate -f(i) - 5*o(i).
-3*i**3 + i**2 + 2*i - 16
Let v(t) = 7*t**3 + 158*t**2. Let s(i) = 8*i**3 + 154*i**2. Calculate 3*s(c) - 4*v(c).
-4*c**3 - 170*c**2
Suppose 3*l - 19 = 23. Let a(c) = -3*c + 2. Let t(z) = -23*z + 3 + 58*z - 45*z + 0 + 4. Determine l*a(w) - 4*t(w).
-2*w
Let u = -1225 + 2078. Let h = -847 + u. Let v(w) = 11*w - 9. Let c(s) = 7*s - 4. Let j(i) = 22*i - 12. Let d(y) = -7*c(y) + 2*j(y). What is h*v(p) + 14*d(p)?
-4*p + 2
Let r(d) = 38*d**2 - 41*d + 6. Let f(l) = 38*l**2 - 39*l + 4. Give -3*f(n) + 2*r(n).
-38*n**2 + 35*n
Let h(p) = p**2 - 2*p + 2. Let q(a) be the first derivative of -2*a**3/3 + 3*a**2/2 - 2*a + 8049. Determine -3*h(r) - 2*q(r).
r**2 - 2
Let d(x) = x + 41. Let k(j) = 445*j - 4448. Let t be k(10). Let w(u) = -4*u - 122. Determine t*w(v) + 7*d(v).
-v + 43
Let u = 5730 + -5747. Let s(d) = -d + 0 + 6*d**2 - 3*d**3 + 0. Let m(x) = -8*x**3 + 17*x**2 - 3*x. What is u*s(i) + 6*m(i)?
3*i**3 - i
Let t(m) = 4*m + 12. Let w(k) be the second derivative of k**3/2 + 4*k**2 + 9*k + 12. Calculate 5*t(n) - 7*w(n).
-n + 4
Let d(q) = -4*q + 9. Let c(r) = -10*r + 1. Let a(j) = 43*j + 12. Let o(w) = -a(w) - 5*c(w). Give 11*d(s) + 6*o(s).
-2*s - 3
Let v(l) = -472*l + 19. Let y(j) = -1415*j + 63. What is 10*v(d) - 3*y(d)?
-475*d + 1
Let o(l) = -l**2 + 7*l - 3. Let u(m) = -14*m**2 + 21*m + 2. Let g(h) = 17*h**2 - 26*h - 2. Let b(v) = 5*g(v) + 6*u(v). Give -5*b(i) - 3*o(i).
-2*i**2 - i - 1
Let l(g) = 4*g**2 + 486*g - 8. Let z(v) = 3*v**2 + 488*v - 7. Calculate -5*l(c) + 6*z(c).
-2*c**2 + 498*c - 2
Let h(l) = -17*l**2. Let q(t) = -4*t - 645*t**2 + 1248*t**2 - 680*t**2 + 4*t. Calculate -22*h(b) + 5*q(b).
-11*b**2
Let o(f) = 4186*f + 1. Let k(w) = 16749*w + 4. Determine -3*k(b) + 11*o(b).
-4201*b - 1
Let s(z) = 3*z**3 + 6*z**2 - 3*z - 3. Let f(k) = k**3 + 3*k**2 - 3*k - 1. Give 5*f(l) - 2*s(l).
-l**3 + 3*l**2 - 9*l + 1
Suppose 3*w + 12*o - 13*o = -20, 2*w = 5*o - 9. Let k(f) = 30*f**2 - 16. Let j(q) = -10*q**2 + 5. What is w*j(b) - 2*k(b)?
10*b**2 - 3
Let f(k) = -4*k**2 - 69*k + 16. Let j(n) = -3*n**2 - 63*n + 13. Determine 5*f(h) - 6*j(h).
-2*h**2 + 33*h + 2
Let o(s) = 32*s**2 - 45*s + 16. Let u(q) = 160*q**2 - 225*q + 90. Give -11*o(t) + 2*u(t).
-32*t**2 + 45*t + 4
Let z(o) = 7*o**3 - 1244*o**2 - 4*o - 9. Let l(q) = -3*q**3 + 630*q**2 + 2*q + 4. Calculate -9*l(h) - 4*z(h).
-h**3 - 694*h**2 - 2*h
Let m(p) = -1823*p**2 - 2*p - 4. Let u(d) = 5469*d**2 + 7*d + 14. What is 7*m(q) + 2*u(q)?
-1823*q**2
Let u(d) = -d**2 + 1. Let t(x) = -21*x**2 + 35. Suppose 2446 + 1957 = -118*z + 273. What is z*u(h) + t(h)?
14*h**2
Suppose 2*u = -4*r + 50, 2*u + 90*r = 93*r + 85. Let w(n) = -21*n**3 - 3. Let k(o) = 252*o**3 + 35. Calculate u*w(h) + 3*k(h).
21*h**3
Let q(h) = 59*h**3 - 8*h**2 + h - 3. Let n(p) = 177*p**3 - 23*p**2 + 3*p - 8. What is 3*n(u) - 8*q(u)?
59*u**3 - 5*u**2 + u
Let i(q) be the second derivative of -q**3/6 - 7*q**2/2 + 5*q. Let a(f) = 2*f + 11. Calculate 5*a(w) + 8*i(w).
2*w - 1
Let b(s) = 12*s**2. Let p(l) = 121*l**2 + 3*l + 3. Determine 6*b(f) - p(f).
-49*f**2 - 3*f - 3
Suppose 4 = 2*f - 0. Let u(d) = 15*d**3 - 139*d**3 - 5*d - 2 - 7*d**2 + 95*d**3 + 20*d**3 - 2*d. Let t(h) = 3*h**3 + 2*h**2 + 2*h + 1. What is f*u(c) + 7*t(c)?
3*c**3 + 3
Let k(a) = -18805*a + 5. Let y(c) = -94018*c + 28. Give 11*k(f) - 2*y(f).
-18819*f - 1
Let p(h) = 83235 - 166443 + 83222 - 4*h**2. Let n(f) = -17*f**2 + f + 56. What is 2*n(s) - 9*p(s)?
2*s**2 + 2*s - 14
Let p(k) = -3*k**2 + k. Let y(f) = 30*f**2 - 55*f - 1. Determine -6*p(j) - y(j).
-12*j**2 + 49*j + 1
Let b(h) = -h - 6. Let n(d) = 112*d + 11. Let s(o) = 134*o + 12. Let f(l) = 6*n(l) - 5*s(l). Suppose 3*w - 6 = -0. Give w*f(u) + 3*b(u).
u - 6
Suppose 169*y = 255*y + 516. Let n(z) = 4*z**2 + 20*z + 6. Let i(d) = -5*d**2 - 21*d - 7. What is y*i(h) - 7*n(h)?
2*h**2 - 14*h
Let q(x) = -x**3 - 9*x. Let v(t) = t**3 + 14*t. Let n = -178 + 176. Let w be (n/(-2))/(52/(-416)). Give w*q(r) - 5*v(r).
3*r**3 + 2*r
Let d = 21 - 16. Let v(o) = -o + 1 - 4*o + 10*o - o - 4. Let r(k) = 2*k - 1. What is d*r(t) - 2*v(t)?
2*t + 1
Suppose 16*m + 68 = 20*m. Let h(b) = -5*b**2 - 6*b - 10 - 6 + m - 4. Let q(j) = j**2 + j + 1. Give h(u) + 3*q(u).
-2*u**2 - 3*u
Let l(d) = -1436*d**2 + 26*d + 13. Let w(b) = 359*b**2 - 6*b - 3. Give -2*l(q) - 9*w(q).
-359*q**2 + 2*q + 1
Suppose -12*x = -27*x + 30. Let w(h) = 2 - 1 + 5 - 7*h - 1 - 8*h**x. Let a(j) = 7*j**2 + 6*j - 4. Give 6*a(n) + 5*w(n).
2*n**2 + n + 1
Let l(d) = -5*d**3 + 3*d**2 + 3. Let p(h) = 4*h**3 - 4*h**2 - 4. Let x be (102/(-30) - -3)/(3/(-45)*2). Calculate x*p(z) + 4*l(z).
-8*z**3
Let x(i) = i**3 + i**2 - 1. Let f(y) = 1852*y**3 + 3 + 1858*y**3 - 3706*y**3 - 2*y + 2*y**2 - 4. Calculate f(b) - 2*x(b).
2*b**3 - 2*b + 1
Let i(c) = 11*c**3 - 5*c**2 - 99*c + 6. Let z(j) = 20*j**3 - 9*j**2 - 194*j + 11. Determine 5*i(q) - 3*z(q).
-5*q**3 + 2*q**2 + 87*q - 3
Let m(l) = 88*l**3 - 16*l**2 - 11*l - 4. Let h(z) = -30*z**3 + 6*z**2 + 4*z + 1. Give -11*h(y) - 4*m(y).
-22*y**3 - 2*y**2 + 5
Let z = -246 + 133. Let q = z - -146. Let u(l) = l**2 + 2*l + 2. Let r(f) = -15*f**2 - 33*f - 33. Give q*u(g) + 2*r(g).
3*g**2
Let y(h) = h**2 + 2. Let g(b) = -19. Let q(k) = -3 + 10 - 8 - 12. Let l(x) = -2*g(x) + 3*q(x). Determine 6*l(j) + y(j).
j**2 - 4
Let p(u) = u. Suppose 28*y - 24*y - 36 = -4*j, -2*j + 3*y = 2. Let d(f) = -2*f. Let c(h) = -h + 8. Let b be c(6). What is b*d(k) + j*p(k)?
k
Let a(x) = 10*x* | {
"pile_set_name": "DM Mathematics"
} |
/(i/((i/(i*i**(-4)))/i))*i))*i*i*(i**(5/2)*i)/i*i)**(-12) assuming i is positive.
i**(-2614/23)
Simplify (((n/n**9*n)/n)/n**(-5/2)*(n/n**6*n)/(n*n*(n/((n/(n/(n/n**(-1/2)*n)))/n))/n*n))**(-50) assuming n is positive.
n**550
Simplify ((n**24)**(-4/41))**(-5/3) assuming n is positive.
n**(160/41)
Simplify (v/((v/v**5)/v)*v)/v**(-2/17)*(v**(-6))**(-3/7) assuming v is positive.
v**(1153/119)
Simplify (a/((a**(-13)*a*a)/a))/(a**20/a)*a*(a**(-16)/a*a)/a*a*a*a**28*a assuming a is positive.
a**9
Simplify ((u/u**(2/7))**35*(u*(u*u*u*u**(1/2))/u)**(6/11))**(-2/89) assuming u is positive.
u**(-592/979)
Simplify ((m*m**(-1/3)*m**(5/4))/((m*m/m**(3/11))/(m**(-1/5)/m)))**(-48) assuming m is positive.
m**(2668/55)
Simplify (w**5*w)**(-1/27)*w**26/(w*w**28) assuming w is positive.
w**(-29/9)
Simplify p**(1/7)/(p/(p**(-1/16)/p))*p**1/p**(-7) assuming p is positive.
p**(681/112)
Simplify (n/(n*n*n/(n/n**0*n)*n)*n)**(-1/77)/(n**(2/23)*n/(n*n**(-10))) assuming n is positive.
n**(-232/23)
Simplify (j**(-2))**(-1/13)*j/(j**(1/2)/j)*j**(-10) assuming j is positive.
j**(-217/26)
Simplify (h**1*h/h**(-16/3))**49 assuming h is positive.
h**(1078/3)
Simplify (x*x**(1/3)*x*x)**(-29/2)/(x/(x**(2/13)*x)*x**(-9)) assuming x is positive.
x**(-1528/39)
Simplify (((d*d**(-19))/d)/d**7)**(-49) assuming d is positive.
d**1274
Simplify (a**(-16)*a**(-22)/a)**(-1/4) assuming a is positive.
a**(39/4)
Simplify o**(2/25)/((o/(o*o**(2/21)))/o)*o*o**(5/2)/o*o*o**2 assuming o is positive.
o**(7009/1050)
Simplify (j**(-2/11)/j)/j**11*(j**(2/9))**(-43) assuming j is positive.
j**(-2152/99)
Simplify ((q*q/q**6)/q*q**4*q**(-6)*q/((q*q*q*q**(2/7))/q*q))**(1/5) assuming q is positive.
q**(-13/7)
Simplify (a**(1/6)/(a*a**(9/7)))**(-3) assuming a is positive.
a**(89/14)
Simplify q**24*q**(2/37)*((q/(q*q**(-11/2)/q*q))/q)/q**(-36) assuming q is positive.
q**(4777/74)
Simplify (s**(1/4))**(-11)*s/(s*s**(-7)*s)*s*s*s*s**4*s assuming s is positive.
s**(45/4)
Simplify (u**(-7/2)/((u*u/(u**(-15/2)/u*u)*u)/u))/(u**(1/4))**(7/4) assuming u is positive.
u**(-215/16)
Simplify (l**(1/4)*l/((l*l*l**(-14)*l)/l))/((l*l**(-1/7))/l*l*l**(-4)*l) assuming l is positive.
l**(431/28)
Simplify ((k**(2/11)/(k/(k**(7/4)/k)))/(k**0)**(4/25))**15 assuming k is positive.
k**(-45/44)
Simplify (m*m*m**(1/2))**(-20)*((m/m**(2/13))/m)**(-4/13) assuming m is positive.
m**(-8442/169)
Simplify (k**(1/2))**(-13/4)*((k/(k/(((k*k*k**(6/7)*k)/k)/k)))/k*k)/(k/(k**8/k)) assuming k is positive.
k**(349/56)
Simplify (n*n**7*n*n**0*n**(-2/9)*n**(2/27)*n*n)**42 assuming n is positive.
n**(4102/9)
Simplify ((((h/(h*h*h/h**(-2/11))*h)/h)**(-2/69))**(-1/4))**(-1/8) assuming h is positive.
h**(1/506)
Simplify (y/(y*y*y/(y**(-1/5)/y*y*y)*y*y))**(29/4)/(y**(2/37)/y**(-23)) assuming y is positive.
y**(-8557/185)
Simplify (o*o**(-2/3))**45/(((o*o**(6/7))/o)/o*o)**(-23) assuming o is positive.
o**(243/7)
Simplify ((j*j**(-26))**(-7/2))**(-21) assuming j is positive.
j**(-3675/2)
Simplify ((u**(-2/9)*u)**(2/7)*u**(-5)/u**12)**(3/13) assuming u is positive.
u**(-151/39)
Simplify ((d*((d/d**(11/2))/d)/d)/d)/d*d**14*(d/(d*d**(-23)))/(d*d/(d*d*d*d**(-3))) assuming d is positive.
d**(55/2)
Simplify (v**2*v*v*v*(v**(3/7)/v)/v*((v**(1/4)*v*v)/v)**(1/39))**(8/7) assuming v is positive.
v**(7558/1911)
Simplify (n**(1/5)/n*n)/n**(-5/4)*(n**13/n)**(-15/4) assuming n is positive.
n**(-871/20)
Simplify ((n/n**(2/7)*n**(-1)*n)/(n**(6/7)*n*n**(7/2)))**(3/5) assuming n is positive.
n**(-39/14)
Simplify t**(-1)/t*(t*t**(-2/35)/t)/t*(t*t**(-2/5)*t*t)**(48/5) assuming t is positive.
t**(3833/175)
Simplify (x/x**6*x**(-1)*(x/(x/x**(-1/6)))/(x*x/(x/x**0)*x))**9 assuming x is positive.
x**(-147/2)
Simplify (c*c**(-17)*c)/(c*c*(c/(c**(-1/10)/c))/c)*(c*c**(2/5))**(8/11) assuming c is positive.
c**(-1879/110)
Simplify ((h/((h/h**(-2))/h))/(h**(-1/14)/h*h))/((h**(4/17)*h*h)/((h**(-15)/h*h)/h)) assuming h is positive.
h**(-4561/238)
Simplify (d**(10/7)/d)**(2/41)/(d**12*(d**(-2/53)*d)/d) assuming d is positive.
d**(-181640/15211)
Simplify ((y**(-1/10))**27)**(-2/87) assuming y is positive.
y**(9/145)
Simplify ((a**(-1/9)*a**(-6)/a)/(a/(a/(((a/((a/a**(-3)*a)/a*a))/a)/a))*a*a**(-7)/a*a*a))**(-10) assuming a is positive.
a**(-350/9)
Simplify (f/((f/(f**(-2/29)/f))/f))**(6/11)/(f/(f*f**9*f*f))**(1/2) assuming f is positive.
f**(3485/638)
Simplify (((s**(-15)*s)/(s*s*s**(-2/65)/s))**3)**(-8/15) assuming s is positive.
s**(7784/325)
Simplify ((z/((z/(z**11/z))/z*z))/(z**(1/10)*z))/((z*z/(z/(z/z**5)))/(z*z*z**(-20))) assuming z is positive.
z**(-61/10)
Simplify ((l**(-3/11)/l*l*l/l**(3/14))**(2/3))**30 assuming l is positive.
l**(790/77)
Simplify (w**(4/3)/(w*w*w**(3/5)*w))/(w**(-16)/w**(-2)) assuming w is positive.
w**(176/15)
Simplify (h**(-5/3)*h/h**(1/11))/(h*h/((h*h**(-1/5))/h*h*h))**(-5/6) assuming h is positive.
h**(-13/22)
Simplify ((g*g**26*g)/(g*(g**0/g)/g*g))**(-18) assuming g is positive.
g**(-504)
Simplify k**(-11/5)/(k/k**(2/51))*((k**10/k)/k)**(-15) assuming k is positive.
k**(-31406/255)
Simplify (b*b/(b/b**(-1/4))*b)**(-22)/((b**(-1/5)*b)/(((b**14/b*b)/b)/b)) assuming b is positive.
b**(-273/10)
Simplify ((j**(-3/11))**(9/5))**2 assuming j is positive.
j**(-54/55)
Simplify ((((x*x*x**(-15)*x)/x)/x*x)/((x*(x*(x**(7/2)*x*x)/x)/x)/x))/((x/(x**(-18)*x))/(x*x*x**(5/14)/x*x)) assuming x is positive.
x**(-232/7)
Simplify (p*p*p*p*p**(-6/13))**(-1/10)/((p*(p/(p**(-17)/p)*p)/p)/(p/(p/(p/(p*(((p/((p**(-13)*p)/p))/p*p)/p)/p*p*p))))) assuming p is positive.
p**(-2233/65)
Simplify (f**(4/15)*f)**(-3/4)*f**(-1/2)/(f*f**(2/21)) assuming f is positive.
f**(-1069/420)
Simplify (t*t*t**(-5)*t*t**(-3/32))/((t**(2/57)*t)/t**(5/3)) assuming t is positive.
t**(-889/608)
Simplify s**(2/3)*s*s*s*s/(s*s**(-1/4))*s*s/s**(-1/4)*s**10 assuming s is positive.
s**(97/6)
Simplify (m**(1/26)*m*m*m/(m/m**(1/4)*m)*m*m*m)**(1/9) assuming m is positive.
m**(223/468)
Simplify d**(-3)/d*d*d**31*d*d*(d/(d*d**(-21)/d))**(-36/5) assuming d is positive.
d**(-642/5)
Simplify (s/s**(-2/3))/(s*((s**(-8)/s)/s)/s)*(s/((s*s/((s**(-1)*s)/s)*s*s)/s*s))**38 assuming s is positive.
s**(-421/3)
Simplify ((n*n**(-14)*n*n)/n**0)**(4/7) assuming n is positive.
n**(-44/7)
Simplify (r*(r*r**(-3/8)/r*r)/r*r)/r*r*r*r**1*(r/r**18*r)/r**19 assuming r is positive.
r**(-251/8)
Simplify (j/j**(-17))/(j/(j*j**(-12)))*j**(-11)*j*j/(j*j**(-2/61)/j) assuming j is positive.
j**(-181/61)
Simplify (b/(b*(b/(b/(b/b**(-7))))/b))/(((((b/b**4*b)/b)/b)/b)/b)*(b**(2/21))**14 assuming b is positive.
b**(1/3)
Simplify ((c**(-2/5))**41*(c/(c/c**5)*c)/c*c**(-2))**(-5/14) assuming c is positive.
c**(67/14)
Simplify (b**1*b/b**16*b)**(-2/15) assuming b is positive.
b**(26/15)
Simplify (y*y**(-6)*y*y*y**(-1/34))/((((y*y**(-9/7))/y*y)/y)/((y*y**(6/5))/y)) assuming y is positive.
y**(-647/1190)
Simplify (u**(-4)/u)**(-1/54)*(u/(u*u*u*u**(-1)*u*u))**(1/4) assuming u is positive.
u**(-71/108)
Simplify (h**(-11)*h/(h*h/(h/((h*h**(4/11))/h))*h))/(h*h**1*(h**(-15)/h*h)/h) assuming h is positive.
h**(18/11)
Simplify ((a**(-28)*a*a)/((a/(a/((a**(-22)*a)/a*a)*a))/a))/(a/a**(1/22)*a*a/a**(-14)*a) assuming a is positive.
a**(-461/22)
Simplify (j**(-8/3)*j**(-11)*j)/((j*j*j**(-1/9))/j**3) assuming j is positive.
j**(-104/9)
Simplify ((s*s**1)**(-48)*s**(-1/8)/s**(-2/5))**21 assuming s is positive.
s**(-80409/40)
Simplify ((z**(-2)/z*z**(-12))/(z**(-12)*z*z**(-13)*z))**(-11/6) assuming z is positive.
z**(-44/3)
Simplify (o*o/o**(-1/13))/o**(-1/8)*(o*o**(4/11))**(2/77) assuming o is positive.
o**(197083/88088)
Simplify d**(2/3)/d**13*(d*d/(d*d**(-7/3)))/d**0 assuming d is positive.
d**(-9)
Simplify (x*x**(-1/5))**(7/4)*x*x**(-5/8)*x/((x/(x*x**(1/2))*x*x)/x) assuming x is positive.
x**(91/40)
Simplify (s**(2/11)/s)**(3/34)*s**(2/3)*s*s*s**(2/7) assuming s is positive.
s**(22621/7854)
Simplify (v*v/(v/(v/(v*v**(4/11)*v)*v))*v)/v**(-5/4)*((v**(-5)/v)/v)/v**11 assuming v is positive.
v**(-665/44)
Simplify ((f**(-1/4))**(9/4)/(f**(1/14)*f/f**(-2)))**(-42) assuming f is positive.
f**(1221/8)
Simplify ((b*b**(-1)*b*b)**(-42)*((b/b**2)/b)**43)**(1/11) assuming b is positive.
b**(-170/11)
Simplify ((y**(-2/3)*y*y*y**(-2/3))/((y/(y**(-1/3)*y))/y)**(2/19))**(-4/23) assuming y is positive.
y**(-56/437)
Simplify (w*w/w**2*w/w**(-14))/(w/(((w*w**(-3)/w)/w)/w)*w**18/w) as | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from kypnnlc?
1/105
Calculate prob of sequence lll when three letters picked without replacement from {c: 3, l: 13}.
143/280
Two letters picked without replacement from {k: 1, s: 1, e: 1, l: 2}. What is prob of sequence ke?
1/20
Two letters picked without replacement from {d: 1, p: 7, f: 11}. Give prob of sequence fd.
11/342
Calculate prob of sequence pzz when three letters picked without replacement from jyyzpz.
1/60
Two letters picked without replacement from {f: 2, r: 8, d: 6, n: 1, v: 1}. What is prob of sequence dn?
1/51
Calculate prob of sequence tn when two letters picked without replacement from {t: 1, k: 6, n: 5, f: 1, l: 1, x: 2}.
1/48
Two letters picked without replacement from {k: 10, y: 9}. What is prob of sequence ky?
5/19
Two letters picked without replacement from iisiinsiijsssisssiji. What is prob of sequence nj?
1/190
Two letters picked without replacement from igiggg. What is prob of sequence ii?
1/15
Calculate prob of sequence nil when three letters picked without replacement from {w: 2, t: 1, l: 1, i: 2, n: 2}.
1/84
Two letters picked without replacement from {l: 4, r: 1, s: 4, x: 1, q: 3}. Give prob of sequence ss.
1/13
Calculate prob of sequence tmi when three letters picked without replacement from {i: 3, t: 1, d: 2, m: 1}.
1/70
What is prob of sequence qi when two letters picked without replacement from {i: 5, q: 15}?
15/76
What is prob of sequence mrt when three letters picked without replacement from mthrh?
1/60
Four letters picked without replacement from uyybtautyyttyyta. Give prob of sequence butu.
1/4368
Calculate prob of sequence qqq when three letters picked without replacement from yqyfofoyqqoqkoqrroq.
20/969
Two letters picked without replacement from {l: 4, g: 15}. Give prob of sequence ll.
2/57
Three letters picked without replacement from ikikk. Give prob of sequence kik.
1/5
Calculate prob of sequence aal when three letters picked without replacement from alllljallllallllj.
3/170
What is prob of sequence jljt when four letters picked without replacement from lltttjjtj?
1/63
What is prob of sequence uux when three letters picked without replacement from {x: 9, u: 7}?
9/80
Calculate prob of sequence ee when two letters picked without replacement from {e: 3, u: 1, z: 4}.
3/28
Calculate prob of sequence vn when two letters picked without replacement from {v: 2, n: 1}.
1/3
Calculate prob of sequence dbb when three letters picked without replacement from ddbddadadadaidaddbd.
11/2907
Calculate prob of sequence nna when three letters picked without replacement from tnnmmma.
1/105
Three letters picked without replacement from {g: 1, r: 2}. Give prob of sequence rgr.
1/3
Three letters picked without replacement from rrrrbubhrhrb. What is prob of sequence hrr?
1/22
Calculate prob of sequence eq when two letters picked without replacement from hehihmq.
1/42
What is prob of sequence uu when two letters picked without replacement from {l: 1, t: 5, p: 1, r: 1, u: 3}?
3/55
Two letters picked without replacement from zrarzzeazreq. What is prob of sequence ez?
2/33
Calculate prob of sequence xx when two letters picked without replacement from xxcxcxxcxcxcx.
14/39
Three letters picked without replacement from {g: 1, y: 1, p: 1, l: 2, s: 1, c: 1}. Give prob of sequence lgc.
1/105
Calculate prob of sequence mm when two letters picked without replacement from jjjhmdjmdjhhjjhjjh.
1/153
What is prob of sequence bd when two letters picked without replacement from ixxdibdxbbhbbbdxh?
9/136
Two letters picked without replacement from msaavvmmvmip. What is prob of sequence vm?
1/11
Two letters picked without replacement from {y: 2, r: 2, i: 2}. What is prob of sequence rr?
1/15
Calculate prob of sequence ge when two letters picked without replacement from {g: 3, e: 8, c: 2, y: 2}.
4/35
Four letters picked without replacement from {f: 4, t: 2, p: 2, b: 3, o: 6, v: 1}. Give prob of sequence fptf.
1/1530
Three letters picked without replacement from {k: 4, w: 10}. What is prob of sequence kww?
15/91
Three letters picked without replacement from wfkwf. What is prob of sequence wfw?
1/15
Three letters picked without replacement from {j: 17, w: 2}. Give prob of sequence jwj.
16/171
Four letters picked without replacement from ddddd. What is prob of sequence dddd?
1
What is prob of sequence vsp when three letters picked without replacement from psvtf?
1/60
Three letters picked without replacement from vpvphpnphpvhvvhhp. What is prob of sequence pnp?
1/136
Four letters picked without replacement from vvvzzwqvvvw. What is prob of sequence zwvq?
1/330
Two letters picked without replacement from {b: 2, z: 5, t: 6, s: 3, f: 1}. Give prob of sequence sz.
15/272
What is prob of sequence qkk when three letters picked without replacement from {k: 4, q: 2}?
1/5
Four letters picked without replacement from {t: 2, s: 5, r: 3}. What is prob of sequence rsrr?
1/168
Calculate prob of sequence xfw when three letters picked without replacement from {f: 1, x: 5, m: 1, w: 1, r: 4}.
1/264
Calculate prob of sequence hrz when three letters picked without replacement from {r: 1, n: 13, z: 2, h: 1, a: 1, t: 2}.
1/3420
Four letters picked without replacement from yyyynyooonon. What is prob of sequence ynyo?
2/99
Three letters picked without replacement from neeeenneeeneneeeene. Give prob of sequence ene.
52/323
Calculate prob of sequence lu when two letters picked without replacement from {v: 4, u: 1, e: 8, l: 4, f: 2}.
2/171
Three letters picked without replacement from ubbbbubu. Give prob of sequence bbu.
5/28
Two letters picked without replacement from xixixxxxxxxxxxixxx. Give prob of sequence xx.
35/51
Four letters picked without replacement from jzxziizxxzxnix. Give prob of sequence zxix.
10/1001
What is prob of sequence ap when two letters picked without replacement from aplbbfpasbpblbl?
1/35
Calculate prob of sequence ccf when three letters picked without replacement from ffccffffbbffffffcbbf.
13/1140
Calculate prob of sequence cluq when four letters picked without replacement from qacqqqlqluqaiq.
1/1716
What is prob of sequence su when two letters picked without replacement from {b: 5, u: 3, s: 5}?
5/52
Four letters picked without replacement from pppppppooopooppopp. Give prob of sequence opoo.
1/51
Calculate prob of sequence pc when two letters picked without replacement from {p: 5, a: 1, m: 4, r: 5, c: 1, s: 1}.
5/272
Two letters picked without replacement from {p: 3, k: 2, e: 5, t: 10}. Give prob of sequence kt.
1/19
What is prob of sequence bgx when three letters picked without replacement from ixibixiiggixiix?
4/1365
What is prob of sequence qt when two letters picked without replacement from wwtwtwtqw?
1/24
What is prob of sequence ggk when three letters picked without replacement from ggkggggg?
1/8
Two letters picked without replacement from iixxddxxiixxiidiix. What is prob of sequence xd?
7/102
What is prob of sequence vv when two letters picked without replacement from jvjvjjv?
1/7
Calculate prob of sequence eevv when four letters picked without replacement from {e: 8, v: 3}.
7/165
What is prob of sequence ta when two letters picked without replacement from {t: 2, m: 4, l: 5, a: 2}?
1/39
Two letters picked without replacement from yloppopprlpo. Give prob of sequence ro.
1/44
Two letters picked without replacement from hhuhhhuurzuhhhzrhuhh. What is prob of sequence uz?
1/38
Two letters picked without replacement from djajjdy. Give prob of sequence yj.
1/14
Two letters picked without replacement from {v: 1, w: 2, y: 2, x: 1, h: 1, l: 1}. Give prob of sequence wy.
1/14
Calculate prob of sequence eec when three letters picked without replacement from {y: 4, g: 2, e: 2, c: 1}.
1/252
What is prob of sequence cqcc when four letters picked without replacement from {c: 3, j: 4, l: 8, k: 2, q: 2}?
1/7752
What is prob of sequence kq when two letters picked without replacement from zekkklkgzzglkzgqgk?
1/51
Two letters picked without replacement from oqmqommoomqmm. Give prob of sequence qq.
1/26
Calculate prob of sequence edz when three letters picked without replacement from teeddtzdet.
1/80
Calculate prob of sequence ka when two letters picked without replacement from kakrjkjkkmmjakj.
2/35
Calculate prob of sequence ln when | {
"pile_set_name": "DM Mathematics"
} |
e
Suppose -75177 = -3*o - 29262. Is o a prime number?
False
Suppose 3*u = 3*y - 66, 3*y = 2*y. Let k = -22 - u. Suppose 3*h + 2*h - 485 = k. Is h composite?
False
Suppose -94*k + 69990 = -88*k. Is k prime?
False
Let o be 3 + (-1 - 1) + -1. Suppose 5*c - 3*h - 504 - 94 = o, -h = -4. Is c a composite number?
True
Suppose 4*m = -20*m + 120. Is m/(-10)*-412 + -3 a composite number?
True
Let r(o) be the third derivative of o**5/60 - o**4/6 + 7*o**3/2 + 2*o**2. Is r(6) a composite number?
True
Let s = -2843 - -9196. Is s a composite number?
False
Let o(a) be the first derivative of a**4/2 - 8*a**3 + 7*a**2/2 - 13*a - 32. Is o(16) composite?
True
Suppose 6 = 8*j - 6*j. Suppose w - 2*u - 313 = -u, u + 947 = j*w. Is w a composite number?
False
Suppose -r - 4*c = 12278, 2*c - 12 = -c. Let x be (r/(-12))/(6/8). Suppose -4*t + 5*m + x = -3*t, -3*t + 4086 = -3*m. Is t composite?
False
Suppose 0 = 590*m - 591*m + 5227. Is m a composite number?
False
Let k(o) = -4*o - 8. Let l be (1 + (-2)/(-4))*-2. Let u be k(l). Suppose 2*a + u*w - 1594 = -0*w, 5*w + 797 = a. Is a composite?
False
Suppose -32*k = -27*k - 745. Is k a composite number?
False
Let d = 45 + -14. Is -3*d/(-3)*(-1 + 2) a composite number?
False
Let n = 46983 + -23794. Is n a prime number?
True
Suppose -2*y + 66172 = 3*b, 4*b = -y - 0*b + 33091. Is y prime?
True
Let z = 20387 + -13924. Is z composite?
True
Is -3*1465/(-60)*4 a composite number?
False
Let x(i) = 15386*i**2 + 21*i - 40. Is x(2) a composite number?
True
Suppose 2*j + 2*z = -2, -2 = -j - 2*j - 2*z. Suppose -2 = 5*c + 8, 0 = j*n + 4*c - 14180. Is n a prime number?
True
Let l(h) = -h**2 + 11*h - 8. Let z be l(10). Suppose 14 + 10 = z*j - g, -5*j = -g - 60. Is (-6 + 2)*(-249)/j a composite number?
False
Let j(p) = 4*p + 19. Let n be j(-4). Is (-4)/8 + ((-2223)/(-6))/n composite?
True
Suppose -12756 + 4099 = -11*k. Is k prime?
True
Let y = -5 + 15. Suppose 2*z = -3*z - y. Is 33 - (0/1 + z) a composite number?
True
Suppose 12 = -3*k, -4*k + 24 = 4*w - 0*w. Let a = w + -7. Suppose q - 2*p - 377 = -0*p, a*p - 1475 = -4*q. Is q a prime number?
False
Let t be -7*-1*(-6)/(-21). Suppose -h - t*h = -561. Suppose 0 = -2*n + 4*a + 146, 4*n - 2*a = 7*n - h. Is n a composite number?
True
Let w(q) = q**2 - 7*q + 9. Let c be w(6). Suppose -5*r + 3*r + 4*h = -140, 2*h - 226 = -c*r. Is r a composite number?
True
Is 4494 + (1 - 0 - -4) a prime number?
False
Let x = -3952 + 9305. Is x a prime number?
False
Let w(j) = j**2 - 7*j + 14. Let f be w(4). Suppose -z - 1559 = -3*y, -3*y + f*z - 1050 = -5*y. Is y composite?
False
Suppose -m + u = -361 + 75, -u - 4 = 0. Let s = 834 - m. Suppose -s + 165 = -3*n. Is n composite?
True
Let f = 189 - -784. Is f composite?
True
Let k(y) = 6*y**2 - 6*y - 17. Is k(16) a composite number?
False
Let a = -273 - -470. Let u = 182 + a. Is u a prime number?
True
Let g be (-316)/(-36) - (-4)/18. Let c(j) = -9 + 868*j - 3 - g + 22. Is c(1) a prime number?
False
Let a be (9 + -18)*2/6. Is 1226/(22/10 + a/15) prime?
True
Let g be (5/(-2))/5*0. Suppose g = 2*b + 2*b + 32. Is (194/(-4))/(4/b) a composite number?
False
Let b(r) = 4*r**2 + 45 + 10*r**3 - 56 - 10*r - 2*r**3. Is b(5) composite?
False
Suppose 47*d - 44*d = 0. Suppose d*i + 1058 = 2*g + 2*i, -1046 = -2*g + 2*i. Is g prime?
False
Is 41723/22*6/3 composite?
False
Let b(c) be the second derivative of 13*c**4/6 + c**3/3 + c**2/2 + 6*c. Let j be b(2). Suppose 0 = 4*r - 383 - j. Is r composite?
True
Let d(y) = 7*y**2 - y + 1. Let f = 59 - 67. Is d(f) a composite number?
False
Let u be (-2 - -23)*1/3. Let q(y) = -y**2 + 8*y - 3. Let t be q(u). Suppose t*i = 2*i - 2, 0 = 2*b + 3*i - 155. Is b prime?
True
Let j = 28859 - 9420. Is j a prime number?
False
Suppose 37840 = 2*y + w, 0 = -5*y + 19*w - 16*w + 94589. Is y prime?
True
Suppose -2*p - 3*p = -75. Suppose 3*s + 2*s = -p. Is (0 - (3 - 209)) + s composite?
True
Let s(a) be the third derivative of a**5/20 + 5*a**4/12 - 3*a**3 + a**2. Let f be s(-10). Suppose 8*o - 10*o = -f. Is o a prime number?
False
Is (-399831)/(-45) - 4/30 composite?
True
Let r = -64 + 321. Let x be (-206)/(1 - 6/4). Let p = x - r. Is p prime?
False
Suppose 0 = 4*n + 25 + 27. Let x(c) = -15*c + 16. Is x(n) composite?
False
Suppose 2*i = 4*g + 122, -5*g + 214 = 3*i + 64. Let a = i - 4. Is a composite?
True
Let r(p) = -404 - 14*p + 423 - p. Is r(-6) a composite number?
False
Let r(f) = -f**3 + 12*f**2 - f + 6. Let k be r(12). Is (-5530)/k + (-4)/(-12) a prime number?
False
Let v = -5 + 4. Let k be (v - 0)*1900/(-5). Suppose 3*u + 69 + 315 = 4*i, -4*i + 2*u + k = 0. Is i a composite number?
True
Let i(v) = 1478*v + 39. Is i(8) composite?
False
Suppose 0 = -5*o + 37*o - 15520. Is o prime?
False
Let v(t) = -119*t + 43. Is v(-14) composite?
False
Let m(u) = 13*u - 7. Let s be m(9). Suppose -j + 4 + 121 = -2*h, h - s = -j. Is j a composite number?
True
Suppose 99*h - 110*h = -219769. Is h a prime number?
True
Let r(s) = 73*s**3 + 11*s**2 - 37*s + 9. Is r(4) composite?
True
Let o(x) = 47*x - 6. Let j be o(7). Let w(l) = 65*l - 1. Let r be w(7). Let i = r - j. Is i prime?
True
Let k be (2/1 - -11) + -1. Suppose 0 = 3*z + z - k. Suppose -z*o - 11 = -4*o. Is o composite?
False
Suppose h = 2*h - 3*k - 34, -122 = -5*h - k. Suppose 0 = -5*q + h - 5. Suppose i - 905 = -q*i. Is i prime?
True
Suppose 0 = 2*w - 3*k + 6*k - 19048, -2*w = k - 19052. Is w a prime number?
False
Let y(u) = 173*u**2 + 10*u + 79. Is y(-6) composite?
False
Suppose 42*p = 11*p + 2449961. Is p a composite number?
False
Let n = 2814 + 14041. Is n a prime number?
False
Suppose -5*b + 20 = 2*g, 2*g = 4*g + 2*b - 14. Suppose 15574 = g*q + 3909. Is q prime?
True
Let l(r) = r**2 - 11*r + 15. Let m be l(8). Is (-1892)/(-3) + 3*(-1)/m a prime number?
True
Suppose 2*b = -3*b. Suppose -3*l + 354 + 3 = b. Is l prime?
False
Let u = 461 - 650. Let t = u + 316. Is t a prime number?
True
Is 8*5/180 + 687506/18 composite?
True
Let h(u) = -5*u**3 - u**2 + 15*u + 13. Is h(-12) composite?
False
Let g(d) = 7*d**2 + d - 1. Let x(k) = k**2 + k + 1. Let l be x(-1). Let b be g(l). Suppose 5*t = b*t - 1038. Is t a composite number?
True
Let p be ((-84)/10)/(4/(-20)). Let d = 103 + p. Is d composite?
True
Let b be -158*(-2)/12*-21. Is (-3 - 4 - -3)*b/4 composite?
True
Let l be 2/7 - (-1984)/112. Suppose -5*h + l = -2*h. Let b = 13 - h. Is b a prime number?
True
Suppose 2*f + 168472 = 10*f. Is f a prime number?
True
Suppose -7*b - j = -11*b, -5*j + 20 = 0. Let y(x) = 512*x**3 - 1. Is y(b) a prime number?
False
Let y(i) be the second derivative of i**3/6 + i**2/2 + 5*i. Let d be y(11). Is 153 + d/(-3)*-1 a composite number?
False
Let t = -116 - -63. Let c = -12 - t. Suppose 3*g + c = y, -5*g + 99 = -4*y + 249. Is y composite?
True
Let n = 502 + 1719. Is n a prime number?
True
Let q = 86 - 86. Let h(v) = -2*v**2 + 681. Is h(q) composite?
True
Is (3/9)/(-3 - 231744/(-77247)) prime?
False
Let z(v) = v**2 + 7*v + 4. Let u be z(-7). Suppose -x + 4*c - 3613 = -u*x, 2*x - 2386 = 3*c. Is x composite?
True
Suppose 9*f - 7215 = -4*f. Let d(s) = 2*s**2 + s - 4. Let r be d(12). Let g = f - r. Is g prime?
False
Let j = 9 - 14. Is 116*-4*j/40 composite?
True
Suppose -3*t = -3 - 18. Suppose 552 = 5*k - t*k. Let y = k + 453. Is y composite?
True
Let z be ((-5)/10)/(3/(-72)). Suppose -5*w + z = -w. Suppose -125 - 283 = -3*q - 3*u, 0 = -q - w*u + 142. Is q a composite number?
True
Let w = -41 - -26. Let k(p) = -67*p + 13*p**2 - 14*p**2 + 43*p + 6. Is k(w) prime?
False
Let c(t) = 114*t**2 + 7*t - 11. Let n be c(3). Suppose d - 79 = n. Is d a prime number?
False
Let a = 105 - 321. Let v = a + 303. Is v a prime number?
False
Suppose -2*f - f = -z - 4, -z = -2*f + 4. Let s be 2443/63 - z/18. Let n = s - -28. Is n prime?
True
Let r be 2/(6/3) - 1. Suppose r = -2*s + 5*s + 36. Is (-58)/(-4)*(2 - s) composite?
True
Suppose -o + 5*w + 52 = -0*w, -o = -4*w - 52. Let a(x) = x**2 - 11 - 17 + o - 8*x. Is a(-11) composite?
False
Suppose 8*d - 5*u = 9*d - 1303, -2645 = -2*d + 3*u. Is d a prime number?
False
Suppose 4*t - 40 = 3*y - 455, -2*y = -5*t - 272. Is y prime?
False
Is (7467/(-76))/(3/(-52)) a prime number?
False
Suppose -2*x + 3*c + 21670 = 0, 14*c - 9*c = 20. Is x composite?
True
Let l be (200/(-28))/((-3)/21). Suppose -j - 24 = 3*a, 2*j + 3*a + l = 5 | {
"pile_set_name": "DM Mathematics"
} |
74884?
2, 1318721
List the prime factors of 66317.
17, 47, 83
What are the prime factors of 15309428?
2, 3827357
List the prime factors of 3696304.
2, 231019
What are the prime factors of 1159269?
3, 23, 53, 317
What are the prime factors of 4047421?
7, 578203
What are the prime factors of 533776?
2, 73, 457
What are the prime factors of 9001742?
2, 4500871
List the prime factors of 54222.
2, 3, 7, 1291
List the prime factors of 23011983.
3, 19, 23, 5851
What are the prime factors of 2525208?
2, 3, 7, 15031
List the prime factors of 607553.
307, 1979
List the prime factors of 4674011.
1063, 4397
List the prime factors of 4754219.
1129, 4211
What are the prime factors of 286447?
7, 151, 271
List the prime factors of 209768.
2, 13, 2017
List the prime factors of 6456451.
181, 35671
What are the prime factors of 591781?
113, 5237
What are the prime factors of 1595312?
2, 99707
What are the prime factors of 16769348?
2, 71, 137, 431
List the prime factors of 534921.
3, 178307
What are the prime factors of 1684149?
3, 61, 9203
What are the prime factors of 57798?
2, 3, 13, 19
List the prime factors of 382142.
2, 191071
List the prime factors of 6301125.
3, 5, 1867
What are the prime factors of 4604369?
7, 11, 59797
List the prime factors of 76660.
2, 5, 3833
List the prime factors of 53671.
191, 281
List the prime factors of 172107.
3, 13, 1471
What are the prime factors of 126688?
2, 37, 107
List the prime factors of 4910493.
3, 7, 19, 31, 397
List the prime factors of 188844.
2, 3, 15737
List the prime factors of 656263.
656263
What are the prime factors of 2438640?
2, 3, 5, 1129
What are the prime factors of 885709?
11, 73, 1103
List the prime factors of 312975.
3, 5, 13, 107
What are the prime factors of 361587?
3, 43, 2803
List the prime factors of 618251.
29, 21319
What are the prime factors of 228579?
3, 13, 5861
What are the prime factors of 609155?
5, 23, 5297
List the prime factors of 6529779.
3, 725531
What are the prime factors of 407870?
2, 5, 40787
What are the prime factors of 12359884?
2, 17, 181763
What are the prime factors of 14955330?
2, 3, 5, 13, 31, 1237
What are the prime factors of 2813563?
2813563
List the prime factors of 250496.
2, 19, 103
What are the prime factors of 25547036?
2, 211, 30269
List the prime factors of 11264724.
2, 3, 37, 2819
List the prime factors of 197266.
2, 53, 1861
List the prime factors of 1399196.
2, 499, 701
What are the prime factors of 474457?
541, 877
What are the prime factors of 17871452?
2, 4467863
List the prime factors of 112046.
2, 11, 463
What are the prime factors of 6005498?
2, 113, 26573
What are the prime factors of 4881741?
3, 1627247
What are the prime factors of 27397?
27397
List the prime factors of 578683.
7, 19, 229
List the prime factors of 402102.
2, 3, 89, 251
List the prime factors of 38422327.
251, 153077
What are the prime factors of 895599?
3, 191, 521
What are the prime factors of 1195253?
17, 70309
What are the prime factors of 106134?
2, 3, 7, 19
List the prime factors of 265217.
17, 15601
What are the prime factors of 1899517?
67, 28351
List the prime factors of 11823745.
5, 277, 8537
What are the prime factors of 3488779?
7, 498397
What are the prime factors of 34392774?
2, 3, 13, 19, 23, 1009
What are the prime factors of 14684766?
2, 3, 1523, 1607
What are the prime factors of 1488417?
3, 7, 70877
List the prime factors of 175587.
3, 107, 547
What are the prime factors of 181895?
5, 7, 5197
List the prime factors of 19655406.
2, 3, 363989
What are the prime factors of 13526852?
2, 23, 147031
List the prime factors of 2472708.
2, 3, 7, 29437
What are the prime factors of 39138162?
2, 3, 7, 239, 557
List the prime factors of 200116.
2, 7, 1021
List the prime factors of 241713.
3, 107, 251
What are the prime factors of 1229439?
3, 409813
List the prime factors of 111866.
2, 55933
What are the prime factors of 209430?
2, 3, 5, 13, 179
What are the prime factors of 1784451?
3, 179, 3323
List the prime factors of 9360672.
2, 3, 281, 347
List the prime factors of 8676363.
3, 59, 49019
List the prime factors of 5353517.
13, 411809
List the prime factors of 198748.
2, 11, 4517
What are the prime factors of 2457384?
2, 3, 17, 19, 317
List the prime factors of 2610144.
2, 3, 19, 53
What are the prime factors of 654797?
11, 13, 19, 241
List the prime factors of 1674576.
2, 3, 29, 401
What are the prime factors of 291198?
2, 3, 48533
What are the prime factors of 639301?
13, 49177
What are the prime factors of 45832?
2, 17, 337
What are the prime factors of 17348466?
2, 3, 17, 283, 601
What are the prime factors of 49155?
3, 5, 29, 113
What are the prime factors of 1450839?
3, 13, 37201
List the prime factors of 1175892.
2, 3, 29, 31, 109
What are the prime factors of 485001?
3, 11, 23, 71
What are the prime factors of 431692?
2, 107923
List the prime factors of 19953642.
2, 3, 1787, 1861
What are the prime factors of 990272?
2, 15473
What are the prime factors of 6499407?
3, 43, 50383
List the prime factors of 207543.
3, 7, 9883
List the prime factors of 1392418.
2, 227, 3067
What are the prime factors of 17045488?
2, 1065343
List the prime factors of 1390954.
2, 695477
What are the prime factors of 2287859?
7, 46691
List the prime factors of 4159140.
2, 3, 5, 103, 673
What are the prime factors of 359825?
5, 37, 389
What are the prime factors of 2317901?
31, 74771
What are the prime factors of 26532853?
26532853
What are the prime factors of 314835?
3, 5, 139, 151
What are the prime factors of 8768433?
3, 2922811
What are the prime factors of 8922626?
2, 4461313
List the prime factors of 1018376.
2, 127297
What are the prime factors of 164479?
7, 23497
List the prime factors of 2499726.
2, 3, 416621
List the prime factors of 3197670.
2, 3, 5, 7, 15227
What are the prime factors of 114578?
2, 59, 971
What are the prime factors of 20359?
20359
List the prime factors of 20860.
2, 5, 7, 149
List the prime factors of 515791.
79, 6529
List the prime factors of 789957.
3, 7, 12539
What are the prime factors of 97543?
23, 4241
What are the prime factors of 26586?
2, 3, 7, 211
What are the prime factors of 329886?
2, 3, 41, 149
What are the prime factors of 470431?
13, 36187
What are the prime factors of 324618?
2, 3, 7, 59, 131
What are the prime factors of 5434?
2, 11, 13, 19
List the prime factors of 585123.
3, 7, 11, 17, 149
What are the prime factors of 1670179?
7, 397, 601
What are the prime factors of 2163441?
3, 7, 71, 1451
List the prime factors of 27006036.
2, 3, 2250503
List the prime factors of 318514.
2, 7, 22751
What are the prime factors of 652763?
23, 101, 281
What are the prime factors of 932126?
2, 13, 35851
List the prime factors of 9128972.
2, 2282243
What are the prime factors of 10025015?
5, 7, 11, 13, 2003
What are the prime factors of 1187796?
2, 3, 31, 103
List the prime factors of 894447.
3, 23, 29, 149
List the prime factors of 3093001.
1109, 2789
What are the prime factors of 4124397?
3, 619, 2221
List the prime factors of 369751.
369751
List the prime factors of 1408456.
2, 7, 3593
What are the prime factors of 858344?
2, 19, 5647
List the prime factors of 142300.
2, 5, 1423
What are the prime factors of 15811933?
19, 67, 12421
List the prime factors of 11922737.
157, 75941
What are the prime factors of 7210?
2, 5, 7, 103
What are the prime factors of 14489933?
17, 41, 20789
List the prime factors of 1758054.
2, 3, 113, 2593
List the prime factors of 8050987.
7, 1150141
List the prime factors of 10408764.
2, 3, 867397
What are the prime factors of 23677?
23677
What are the prime factors of 100180?
2, 5, 5009
List the prime factors of 167896.
2, 31, 677
What are the prime factors of 464821?
7, 66403
List the prime factors of 5344240.
2, 5, 11, 6073
What are the prime factors of 405482?
2, 7, 11, 2633
List the prime factors of 453452.
2, 113363
List the prime factors of 1752035.
5, 29, 43, 281
List the prime factors of 17103526.
2, 11, 777433
What are the prime factors of 8041948?
2, 1019, 1973
What are the prime factors of 91680?
2, 3, 5, 191
What are the prime factors of 660947?
7, 94421
List the prime factors of 574137.
3, 63793
What are the prime factors of 35174?
2, 43, 409
List the prime factors of 1755733.
7, 19, 43, 307
What are the prime fact | {
"pile_set_name": "DM Mathematics"
} |
Let x(t) = -t - 3. Let o(i) = 16*i + 131. Determine 2*o(u) + 26*x(u).
6*u + 184
Let u(j) = -5*j - 9. Let p(l) be the first derivative of -5*l**2 - 19*l - 366. Calculate 6*p(c) - 13*u(c).
5*c + 3
Let s(j) = -64*j**2 - 97*j + 19. Let h(t) = -16*t**2 - 21*t + 5. What is 9*h(m) - 2*s(m)?
-16*m**2 + 5*m + 7
Let g(x) = -29*x - 10*x**2 - 69*x + x**2 - 3 + 87*x. Let z(c) = -4*c**2 - 6*c - 2. Give -4*g(l) + 7*z(l).
8*l**2 + 2*l - 2
Let p(d) = 4*d**3 + 6*d**2 + 6*d + 5. Let u be 8*(-5)/(-17 - 3). Let l(q) = -q**3 + 3*q**2 - 1 + 5*q**2 - 8*q**2 - q - q**u. Determine 6*l(x) + p(x).
-2*x**3 - 1
Suppose -j + 9*j + 174*j + 182 = 0. Let b(o) = -o**2 - o. Let l(f) = 4*f**3 - 5*f**2 - f. Determine j*l(m) + 4*b(m).
-4*m**3 + m**2 - 3*m
Let p(h) = 7*h + 31. Let u be p(-4). Suppose 51 - 57 = -u*b. Let t(f) = -f. Let l(r) = -4*r + 1. Give b*l(s) - 6*t(s).
-2*s + 2
Let k(r) = -349500*r**2 - 3728*r - 3728. Let m(c) = -937*c**2 - 10*c - 10. What is -5*k(q) + 1864*m(q)?
932*q**2
Let s(q) = 3*q - 2*q + 0*q + 7 - 5*q - 2*q. Let n(j) = -j - 9*j - 7*j + 14 + 6. Give -4*n(a) + 11*s(a).
2*a - 3
Let p(v) = v - 2. Let k(g) = 233*g + 15. Calculate 3*k(f) + 21*p(f).
720*f + 3
Let d(h) = 1019*h - 26. Let q(g) = -1016*g + 29. Calculate 9*d(c) + 8*q(c).
1043*c - 2
Let x(d) = -38*d**3 + 5*d**2 + 9*d - 19. Let w(a) = 10*a**3 - a**2 - 2*a + 4. Determine -9*w(k) - 2*x(k).
-14*k**3 - k**2 + 2
Suppose -2*t - 130 = -4*j - 230, 0 = 5*t - 5*j - 230. Let i(a) = 654*a. Let c(v) = -77*v. Calculate t*c(w) + 5*i(w).
36*w
Let a = 3574 - 3569. Let t(y) = 51*y. Let d(n) = -26*n. Calculate a*t(g) + 9*d(g).
21*g
Let u(w) = -w + 8. Let l(b) = -8*b + 792. Give l(g) - 10*u(g).
2*g + 712
Let i(r) = 11*r - 5. Let x(c) be the first derivative of 5*c**2/2 - 2*c + 2579. Calculate 4*i(m) - 9*x(m).
-m - 2
Let t(o) be the third derivative of o**5/12 + 3*o**4/8 - 1385*o**2. Let s(n) = -9*n**2 - 17*n. Give 4*s(c) + 7*t(c).
-c**2 - 5*c
Let r(a) = 7*a**2 - a - 1. Suppose -3*f + 7 + 11 = -4*b, -5 = -4*f - b. Let o(y) = 14*y**2 - y - 2. Give f*o(w) - 5*r(w).
-7*w**2 + 3*w + 1
Let a(s) = 6*s**2 + 5*s - 12. Let x(o) be the first derivative of o**3 + 3*o**2/2 - 6*o + 2263. Give -3*a(f) + 5*x(f).
-3*f**2 + 6
Let q(z) = -22*z**2 + 4*z - 22. Let r(i) = 5*i**2 - i + 5. Let j(f) = -2*q(f) - 9*r(f). Let c(h) = 13*h**2 - 5*h + 3. Calculate c(n) + 5*j(n).
8*n**2 - 2
Let x(c) = -255*c - 33. Let s(l) = -12*l - 34. Let a(u) = 10*u + 50. Let d(y) = -2*a(y) - 3*s(y). What is -33*d(r) - 2*x(r)?
-18*r
Let o(d) = 67*d + 35. Let y(a) = 205*a + 104. Give -7*o(h) + 2*y(h).
-59*h - 37
Let c(d) = -2 - 3 - 2*d + 6*d - 5*d**2. Let x(q) = -12 + 5*q + 7 - 6*q**2 - 1. Let o = 82 + -86. What is o*c(w) + 3*x(w)?
2*w**2 - w + 2
Let t(d) = -d**2 + d - 1. Let k(p) be the second derivative of -7*p**4/12 + p**3/2 - p**2/2 + 1994*p + 1. Give k(y) - 2*t(y).
-5*y**2 + y + 1
Let j(r) = 2893*r**3 + 1315*r**2 + 1315*r + 7890. Let f(s) = -2*s**3 - s**2 - s - 6. Determine 5260*f(b) + 4*j(b).
1052*b**3
Let m(c) = -109*c - 428. Let n(y) = 28*y + 107. What is -6*m(h) - 23*n(h)?
10*h + 107
Let v(g) = 17382*g**2 - 9*g - 18. Let b(j) = 11224425*j**2 - 5812*j - 11624. Calculate 9*b(l) - 5812*v(l).
-4359*l**2
Let s(a) = 46*a**2 - 65*a + 11. Let l(n) = -18*n**2 + 22*n - 4. Give -11*l(x) - 4*s(x).
14*x**2 + 18*x
Let r(f) be the second derivative of -f**4/12 + f**2/2 + 2*f - 2548. Let p(y) = -y**2 - 11. Calculate -2*p(j) + 4*r(j).
-2*j**2 + 26
Let g(h) = -412*h**2 - 209*h - 7. Let v(r) = 190*r**2 + 104*r + 3. Calculate 6*g(w) + 13*v(w).
-2*w**2 + 98*w - 3
Let y(i) = 80*i + 11. Let d(u) = 162*u + 25. Give -4*d(m) + 9*y(m).
72*m - 1
Let t(i) = -9*i**3 + 3. Let a = -318 - -324. Let q(f) = -f**2 - 3*f. Let g be q(-3). Suppose -w + g = a. Let s(r) = 10*r**3 - 4. Give w*t(k) - 5*s(k).
4*k**3 + 2
Let m(k) = k**2 - 38*k + 2. Let s(u) = 2*u**2 - 304*u + 404. Give -8*m(v) + s(v).
-6*v**2 + 388
Let j(t) = 16*t**2 - 3*t + 4. Let i(l) = 33*l**2 - 7*l + 9. Let m be (-1620)/330 - (6 + (-130)/22). What is m*j(g) + 2*i(g)?
-14*g**2 + g - 2
Let g(f) = 9*f. Let y(n) = 2*n. Let p = 105 - 106. Let w be (3 - 1) + (p - -1). Suppose -2*z = -0*z + 22. Calculate w*g(m) + z*y(m).
-4*m
Let f be ((-5)/14 + 1128/1316)/(2/(-8)). Let k(t) = 5*t**2 - 10*t + 16. Let r(c) = c**2 - 2*c + 3. What is f*k(a) + 11*r(a)?
a**2 - 2*a + 1
Let g(m) = -5*m**2 + 3*m - 1. Let c(i) = 38*i**2 - 283*i + 10. Determine c(q) + 8*g(q).
-2*q**2 - 259*q + 2
Let t(l) = l**2 - 1. Let c(v) = 39 - 47 + 12 - 4*v**2 + 6*v. Calculate c(f) + 6*t(f).
2*f**2 + 6*f - 2
Let o(a) = 12*a**2 - a. Let u(v) = 38*v**2 - 3*v - 1424. What is -3*o(r) + u(r)?
2*r**2 - 1424
Let u(j) = -9*j**2 - 2*j - 2. Let p(v) = -v. Let c be (2/4*(-30 - -38))/(0 - 4). What is c*u(d) + 4*p(d)?
9*d**2 - 2*d + 2
Let g(d) = d**3 - 46*d**2 + 7*d + 3. Let k(q) = q**3 - 25*q**2 + 4*q + 1. Give -5*g(j) + 9*k(j).
4*j**3 + 5*j**2 + j - 6
Let q(s) = s**2 + s - 2. Suppose -c = 0, -37*u + 39*u - 4 = c. Let p(i) = -912*i**2 + 4*i - 915*i**2 + 1830*i**2 - 5. Calculate u*p(b) - 7*q(b).
-b**2 + b + 4
Let n = 563 - 537. Let l(v) = 32*v - 25*v + n - 33*v. Let c(h) = 5*h - 5. Determine 16*c(q) + 3*l(q).
2*q - 2
Let y be (-1)/((-1)/13)*1. Let s(i) = 2*i**2 - 6*i - 6. Let a(t) = 4*t**2 - 13*t - 13. Let n be 76/(-8)*-6*2. Suppose 0*d + n = -19*d. What is d*a(j) + y*s(j)?
2*j**2
Let o(p) = -7*p**2 + 7*p - 5. Let i be o(1). Let a(z) = -2*z**3 - 5*z**2 - 7*z + 1. Let n(d) = 3*d**3 + 8*d**2 + 11*d - 2. What is i*n(x) - 8*a(x)?
x**3 + x + 2
Let h(a) = -49*a + 4. Let x(z) = 99*z - 9. Give 5*h(p) + 3*x(p).
52*p - 7
Suppose 31 - 7 = 3*z. Let g(h) = 12 - 5 - 5*h + 6*h**2 - 7 - 3 - 3. Let o(j) = -3*j**2 - 12*j + 6*j + 4*j - 2 + 5*j**2. Calculate z*o(l) - 3*g(l).
-2*l**2 - l + 2
Let t(o) be the third derivative of 0 - 1/2*o**3 + 19*o**2 + 0*o. Let s(i) = -i + 13. Let b(z) = 1. Let m(f) = 6*b(f) - s(f). Determine -2*m(j) + 5*t(j).
-2*j - 1
Let r(n) = 5*n**3 - 6*n - 3*n**2 - 1 - n**3 - 5 + 2. Let v(m) = -3*m**3 + 3*m**2 + 5*m + 3. Calculate -5*r(l) - 6*v(l).
-2*l**3 - 3*l**2 + 2
Let i(v) = -v + 2. Let k(q) = -301*q**2 + 5*q - 14. What is 6*i(j) + k(j)?
-301*j**2 - j - 2
Let k(o) = 44*o - 1. Let t(p) = -334*p + 1. Let w(h) = 412*h - 1. Let r(f) = 5*t(f) + 4*w(f). Determine 3*k(a) + 5*r(a).
22*a + 2
Let n(z) = 103*z + 3. Let w(b) = 32242*b + 940. Calculate -940*n(y) + 3*w(y).
-94*y
Let k(y) = 11*y**3 - y**2 + 16*y - 17. Let u(j) = -33*j**3 + 3*j**2 - 44*j + 48. What is 11*k(v) + 4*u(v)?
-11*v**3 + v**2 + 5
Let c be -6 - -7 - (-2 - 0) - -219. Let q = -227 + c. Let i(s) = -s - 4. Suppose 0 = -5*x + 48 - 148. Let a(n) = 1. What is q*i(g) + x*a(g)?
5*g
Let n(f) = -f**2. Let x = 410 - 412. Let l be 1 + 0 + -1*(1 + x). Let m(z) = -32*z**2. What is l*m(y) - 56*n(y)?
-8*y**2
Let c(l) = -5*l - 4. Let z(o) = 5*o + 5. Let s(f) = 10*f + 12. Let b be s(2). Suppose 107*p = 111*p - b. Let n be (-3 + 1)*(p - 6). What is n*z(h) - 5*c(h)?
5*h
Let o(z) = -4*z**3. Suppose 22*x + x - 138 = 0. Suppose -55 = x*j + 41. Let r(s) = -s**3. What is j*r(b) + 5*o(b)?
-4*b**3
Let n(j) = 27*j**2 - 66*j - 8. Let v(a) = -5*a**2 + 13*a + 1. Determine 2*n(b) + 11*v(b).
-b**2 + 11*b - 5
Let l(u) = 50*u**2 - 5*u. Let m(g) = -11302*g + 3*g**2 - 54*g**2 + 11308*g. What is -6*l(f) - 5*m(f)?
-45*f**2
Suppose 714*c - 36 = 732*c. Let d(h) = -h + 1. Let p(a) = -8*a + 9. Determine c*p(z) + 14*d(z).
2*z - 4
Let t(o) = -o**3 + 96*o**2 + o + 6. Let l(s) = 96*s**2 + s + 5. Calculate -7*l(m) + 6*t(m).
-6*m**3 - 96*m**2 - m + 1
Let r(x) = 5*x - 3. Let w(j) = -j**2 + 1. Suppose 0 = 4*t - 5*z + 3*z - 404, -z = t - 95. Let p = 98 - t. Calculate p*r(k) - 2*w(k).
2*k**2 - 5*k + 1
Let p(b) be the third derivative of -b**4/3 + b**3/6 - 6*b**2. Let w = -17 + 27. Let a(n) = -w - n + 10. What is 4*a(r) - p(r)?
4*r - 1
Let l(c) = -53*c**2 - 27*c - 10. Let h(n) = -46*n**2 - 25*n - 8. Give -6*h(w) + 5*l(w).
11*w**2 + 15*w - 2
Let v(f) = -4*f**3 - 2*f**2 + f - 3. Suppose 2*u = -4*x - 40, -6 = 56*x - 55*x. Let s(a) = 3*a - 3*a**2 - 11*a**3 - 2*a**2 + 0 - 8. What is u*v(l) + 3*s(l)?
-l**3 + l**2 + l
Let u(g) = 6*g**2 - 4*g + 4. Let o(p) = 3 + 5*p**2 + 934*p - 1172*p + 234*p. Give -5*o(k) + 4*u(k).
-k**2 + 4*k + 1
Let k(l) = -4*l**2 + 2*l - 2. Suppose -z + 26 = 22. Let w(f) = 2*f**2 - f + 1. Calculate z*k(v) + 7*w(v).
-2*v**2 + v - 1
Let l(o) be the first derivat | {
"pile_set_name": "DM Mathematics"
} |
4*j(l).
2*l + 8
Let q(a) = 3*a - 1. Let f(i) = -36*i + 6. What is -f(r) - 4*q(r)?
24*r - 2
Let l(v) = -22*v**2 + v - 3. Let y(k) = -k**2 - 1. Determine -l(j) + 3*y(j).
19*j**2 - j
Let l(i) = i - 1. Let n(a) = -4*a**2 + 5*a**2 + 47 - 47. Let s(d) = -5*d**2 - 3*d. Let f(q) = 6*n(q) + s(q). Give -f(j) - 2*l(j).
-j**2 + j + 2
Let s(j) = 119 - j**2 + 7*j**2 - 2*j**2 - 5*j**2 - 120. Let z(u) = -u**3 - 5*u**2 + u - 6. Determine -6*s(r) + z(r).
-r**3 + r**2 + r
Let g(s) = -2*s**2 - 5*s - 7. Suppose -2 = -0*y - 2*y, -4*n - 4*y = -216. Let z = 48 - n. Let p(b) = -2*b**2 - 4*b - 6. Calculate z*g(a) + 6*p(a).
-2*a**2 + a - 1
Let w(p) = 3*p. Suppose 4*u + 19 = 35. Suppose 15 = a + u*a. Let x(d) = -14*d. Suppose -6*z + 15 = -5*z. Determine a*x(m) + z*w(m).
3*m
Let h(f) = 2*f**2 + 0*f**2 - 4*f**2 + 3*f**2 - 7*f**2 + 2*f. Let c(s) = 2*s**2 - s. Give 8*c(b) + 3*h(b).
-2*b**2 - 2*b
Let t(s) = -s**2 + 29*s + 5*s**2 - 16*s - 20*s + 4. Suppose -4*j - 5 + 1 = 0. Let a(u) = u**2 - u + 1. Calculate j*t(v) + 5*a(v).
v**2 + 2*v + 1
Let c(d) = -d + 4. Let v(n) = -122*n + 17. What is -4*c(l) + v(l)?
-118*l + 1
Let z(n) = 3*n - 2. Let h(y) = -2 - 8*y + 21*y - 11*y. Give 5*h(v) - 4*z(v).
-2*v - 2
Let t be 14/3 - 2/(-6). Let i(u) = u - 1. Let d be i(t). Let o(v) = 3*v - 6. Let z(y) be the first derivative of y**2 - 5*y + 611. Calculate d*z(x) - 3*o(x).
-x - 2
Let u(k) = 1 - k + 2*k + 2*k**2 - k**2. Let f(y) = -4*y**2 - 3. Let d be 4/(1/(-3 - 28/(-8))). Determine d*u(o) + f(o).
-2*o**2 + 2*o - 1
Let r(t) = -11*t + 5. Let s(y) = -11*y + 5. Let p(k) = -2*r(k) + 3*s(k). Let v(q) = -4*q + 2. Calculate -3*p(z) + 8*v(z).
z + 1
Let u be (1/(-2))/(2/88). Let i be 128/u - (-4)/(-22). Let r be (-6)/(-2 - 1) - 1. Let a(w) = -w**3 - 1. Let h(v) = -7*v**3 - 6. Calculate i*a(b) + r*h(b).
-b**3
Let s(y) = 4. Let v(x) = -5. Let c(j) = -4*s(j) - 3*v(j). Suppose -5*a - 27 = -3*w + 4, 5*a + 21 = -2*w. Let m(r) = r**3 + 8. Give w*m(o) + 18*c(o).
2*o**3 - 2
Let r(o) = -o**3 + o + 1. Let s be 2/((28/7)/(-4)). Let x(y) = -7*y**3 - 2*y**2 + 2*y + 2. What is s*r(z) + x(z)?
-5*z**3 - 2*z**2
Let y(a) = -116*a**2 - 4*a + 6. Let m(n) = -347*n**2 - 12*n + 17. Calculate 4*m(w) - 11*y(w).
-112*w**2 - 4*w + 2
Let o(x) = 4*x**2. Let y(d) = 21*d**2 + d. Suppose -v + 184 = 5*q - 2*v, 2*q = -3*v + 77. Let u = q + -26. Give u*o(b) - 2*y(b).
2*b**2 - 2*b
Let z(s) = -33*s**2 + 7*s - 5. Let p(l) = -16*l**2 + 3*l - 2. Give 5*p(y) - 2*z(y).
-14*y**2 + y
Let u(q) = -110*q - 2. Let b(g) = 5*g. What is -6*b(p) - u(p)?
80*p + 2
Let z(s) = -s**2 + 33*s. Let u(q) = -q**2 + 1. Give 3*u(p) - z(p).
-2*p**2 - 33*p + 3
Let f(h) = 3*h. Let q be f(1). Let k(r) = 53 - q*r - 53. Let s(v) = -v. What is k(b) - s(b)?
-2*b
Let s(z) = -782*z**2 - 15. Let n(b) = 781*b**2 + 18. Determine -5*n(p) - 6*s(p).
787*p**2
Let k(m) = 6205*m. Let x(z) = 53*z. Give 5*k(h) - 584*x(h).
73*h
Let c(u) = 329*u + 74. Let p(y) = 55*y + 13. Determine -6*c(i) + 34*p(i).
-104*i - 2
Let p(i) = -7*i**2 + 11*i. Let h(a) = -6*a**2 + 11*a. Let w be (5/3)/(-1 - 16/(-12)). Determine w*h(z) - 4*p(z).
-2*z**2 + 11*z
Let b(l) = 2*l**3 + 23*l**2 + 2*l. Let p(c) = 4*c**3 + 23*c**2 + 3*c - 1. Determine -3*b(i) + 2*p(i).
2*i**3 - 23*i**2 - 2
Let r(p) = -2*p**2 - 2. Let m(f) be the first derivative of -3 + 0*f - 1/2*f**2. Give -3*m(y) - r(y).
2*y**2 + 3*y + 2
Let j(h) = 4*h**3 + 85*h**2 - 7*h + 7. Let u(s) = 2*s**3 + 42*s**2 - 4*s + 4. Calculate -4*j(a) + 7*u(a).
-2*a**3 - 46*a**2
Let v(b) = -13*b + 4. Let t(w) = -54*w + 16. Let h(d) = 2*t(d) - 9*v(d). Let z(x) = -19*x + 9. Give 13*h(f) + 6*z(f).
3*f + 2
Let b(u) = u - 1. Let p(r) = -1. Suppose 4*v = -3*q + 1, -5*q = -7*v + 10*v + 13. Determine v*p(d) - 6*b(d).
-6*d + 2
Let g(i) = 4*i - 78. Let x(d) = 3*d - 76. Determine 2*g(h) - 3*x(h).
-h + 72
Let f(b) = -1895*b**2 - 758*b - 758. Let j(z) = -2*z**2 - z - 1. Determine f(q) - 758*j(q).
-379*q**2
Let i(x) = -14*x**3 + 8*x**2 - 83*x - 9. Let s(l) = -9*l**3 + 5*l**2 - 55*l - 6. What is -5*i(j) + 8*s(j)?
-2*j**3 - 25*j - 3
Let p(m) = 18*m - 12. Suppose -2*v = -5*v + 27. Let x(u) = 7*u - 8 - 8*u + v. What is p(h) + 12*x(h)?
6*h
Let p(l) = 3*l**2 - 2*l - 4. Let d(t) = -10*t**2 + 6*t + 12. Let c = -1535 + 1528. Determine c*p(j) - 2*d(j).
-j**2 + 2*j + 4
Let q(h) = -8*h**3 + 7*h**2 + 101*h - 6. Let a(s) = s**3 - s**2 - s + 1. What is -6*a(t) - q(t)?
2*t**3 - t**2 - 95*t
Let a(r) = 8*r**3 + 5*r**2 - 5*r + 5. Let s(l) = l - 1. Let b be s(4). Let v(o) = -5*o**b - 1 + 34*o - o**2 + 4*o**3 - 33*o. What is a(u) + 5*v(u)?
3*u**3
Let s(v) = 12*v - 45. Let h(z) = 6*z - 23. What is 7*h(f) - 4*s(f)?
-6*f + 19
Let z(a) = 7*a - 36. Let t(s) = 6*s - 36. Determine 4*t(m) - 3*z(m).
3*m - 36
Let r(n) = 3*n**3 - 4*n**2 + 444*n - 1. Let v(o) = -o**3 + o**2 - 148*o. Determine 2*r(z) + 7*v(z).
-z**3 - z**2 - 148*z - 2
Let g(v) = 133*v**3 + 49*v**2 + 49*v - 49. Let s(d) = -16*d + 15. Let x be s(4). Let y(w) = -11*w**3 - 4*w**2 - 4*w + 4. Give x*y(a) - 4*g(a).
7*a**3
Let z(o) = 5*o**2 + 6*o. Let a(k) = -5*k**2 - 5*k + 1. What is 4*a(n) + 3*z(n)?
-5*n**2 - 2*n + 4
Let l(p) = -3*p**2 - 5*p + 5. Let t(s) = s**2 + 2*s - 2. Suppose -21*f + 17*f = -20. What is f*t(g) + 2*l(g)?
-g**2
Let z(g) = -9*g + 1. Let r(n) = -3*n**2 + 12*n - 4. Let l(u) = r(u) + 2*z(u). Let f(w) = -3*w**2 - 5*w - 2. What is -6*f(j) + 5*l(j)?
3*j**2 + 2
Let h(c) = -c**3 - c**2 - 1. Let n(v) = 6*v**3 + 4*v**2 + 2*v + 4. Let t = 49 + -45. Determine t*h(k) + n(k).
2*k**3 + 2*k
Let l(a) = -63*a**3 - 40*a**2 + 17*a + 6. Let c(g) = 21*g**3 + 14*g**2 - 6*g - 2. Determine -17*c(b) - 6*l(b).
21*b**3 + 2*b**2 - 2
Let t(z) = -39 + 19 + 6*z + 118. Let v be t(-20). Let i(f) = 0 + 0 - f**3. Let c(g) = -10*g**3. What is v*i(y) + 2*c(y)?
2*y**3
Let j(i) = -3*i + 13. Let d(o) = -5*o + 23. Let l(s) = 4*d(s) - 7*j(s). Let x(f) = -6*f - 2. Calculate 6*l(w) + 3*x(w).
-12*w
Let y(w) = 379*w + 1. Let i(c) = 2*c. Give 30*i(p) + 2*y(p).
818*p + 2
Let h = -69 + 71. Suppose 0 = -2*k + a - 9 - 1, -h = a. Let t(u) = 7*u - 1. Let n(b) = b. Determine k*n(y) + t(y).
y - 1
Let m = -1280 + 1283. Let g(h) be the first derivative of 1/3*h**m - 2*h**2 - 7*h - 6. Let n(r) = 2*r + 3. What is -2*g(v) - 5*n(v)?
-2*v**2 - 2*v - 1
Let l(j) = 239*j - 4. Let y(h) = -239*h + 5. Give -5*l(t) - 4*y(t).
-239*t
Let q(n) = -45*n**3 + 55*n. Let o(m) = -5*m**3 + 6*m. Determine -55*o(b) + 6*q(b).
5*b**3
Let r(c) = -1672*c**3 + 77*c - 77. Let t(s) = -44*s**3 + 2*s - 2. Determine 6*r(v) - 231*t(v).
132*v**3
Let z(j) = -383*j - 2. Let n(x) = -x - 1. Calculate 3*n(f) - z(f).
380*f - 1
Let h(b) = 7 - 11*b**3 + 8*b**3 - 432*b - 7*b**2 + 425*b. Let r(q) = 3*q**3 + 6*q**2 + 6*q - 6. Determine 6*h(j) + 7*r(j).
3*j**3
Let i(y) = -353*y**2 + 12*y - 1. Let q(l) = -707*l**2 + 27*l - 2. Give 9*i(v) - 4*q(v).
-349*v**2 - 1
Let w(d) = 3*d**2 - 2*d + 2. Let k(v) = 21*v**2 - 15*v + 15. Suppose 9*l = 8*l - 5*z - 17, 4*z = -3*l - 18. Calculate l*k(f) + 15*w(f).
3*f**2
Let k be (1/(-2))/(5/(-10)). Let i(r) = -4*r**3 + 7*r**2 - 3*r. Let l(z) = z**3 - z**2 + z. Determine k*i(g) + 5*l(g).
g**3 + 2*g**2 + 2*g
Let l(i) = -148188*i**2 - 583*i. Let v(c) = -1015*c**2 - 4*c. What is -4*l(t) + 583*v(t)?
1007*t**2
Let o(n) = 6*n**3 + 3*n**2 - 3*n + 6. Let s(b) = 13*b**3 + 7*b**2 - 7*b + 13. Suppose -4*p + 16 = 2*y - 0*y, 0 = -5*p + 3*y + 9. Give p*s(r) - 7*o(r).
-3*r**3 - 3
Let l(k) = 26*k - 262. Let m(o) = -15*o + 130. Determine -4*l(w) - 7*m(w).
w + 138
Let u(y) be the second derivative of -3*y**4/4 - 7*y**3/6 + 2*y**2 + 9*y. Let b(z) = 14*z**2 + 11*z - 6. Let o be -15*((-4)/4*2)/6. What is o*b(h) + 8*u(h)?
-2*h**2 - h + 2
Suppose -9185 = 6*g - 9155. Let k(u) = -5 + 6*u + 2*u + 2*u**2 - 8*u. Let j(t) = 2*t**2 - 6. Let i be (-1 + -7)*6/(-8). Give g*j(c) + i*k(c).
2*c**2
Let r(d) = d**3 + d**2. Let b(y) be the first derivative of y**4 + 4*y**3/3 - 2*y - 249. Calculate b(x) - 5*r(x).
-x**3 - x**2 - 2
Let q(l) = -9*l + 162. Let r(j) = 14*j - 244. Determine -8*q(d) - 5*r(d).
2*d - 76
Let w(q) = -4*q - 1. Let s(y) be the second derivative of 5/6*y**3 + 0 - 5*y + 1/2*y**2. Let i = 2 - -1. Determine i*w(c) + 2*s(c).
-2*c - 1
Let g(n) = 22*n**2 - 5*n**2 + n - 18*n**2. Let f(v) = -3*v**3 - 8*v**2 + 8*v. Determine 3*f(l) - 24*g(l).
-9*l**3
Let h(y) = 5*y + 1 + 3*y + 1 - 10*y + 4*y. Suppose 7*w - 4*w - 9 = 0. Let r(z) be the fi | {
"pile_set_name": "DM Mathematics"
} |
6)*(z*z*z**(2/7)*z)/(z*z**8*z)) assuming z is positive.
z**(-9959/105)
Simplify (x**(2/31)*x*x**3/x)**(-21)/((x/x**8*x*x*x**(-3/7)*x)/(x*(x/(x*(x**2*x)/x))/x)**(-4/29)) assuming x is positive.
x**(-375380/6293)
Simplify ((b/b**(-1))**(-3/13)/(b*b**(-2/3)*b*b*b)**34)**8 assuming b is positive.
b**(-35504/39)
Simplify (s*s/s**6*s/(s**(6/5)/s)*s)**3/((s*s**(-1/5))/(s*s**(-2/5)*s))**(-18) assuming s is positive.
s**(-21)
Simplify (f**4/f**(-4))/(f**(-2/11)*f**2)*f/f**(-1/9)*f*f/f**(1/4)*(f/(f**(-1/2)/f*f))/(f/(((f**(-1)*f*f)/f)/f)) assuming f is positive.
f**(3383/396)
Simplify ((l**3/l*l*(l/(l/(l/l**(3/7)))*l)/l)/((l/(l**5/l))/l**(-3/4)))/((l**(-2/27)*l*(l*l**(-4/9))/l*l)/(l**(1/3))**23) assuming l is positive.
l**(9077/756)
Simplify (y*y**(-13)*((y**(-13)/y*y)/y)/y*y**(-9/5)*y**(3/5))**46 assuming y is positive.
y**(-6486/5)
Simplify (k**(-2/7)*k)**(27/5)/(k/k**(-4/7))**21 assuming k is positive.
k**(-204/7)
Simplify (((c**(-13/4)/c*c)/c*c**(-2/5)/c)/(c**(1/9)*((c**19*c)/c)/c*c))**5 assuming c is positive.
c**(-4457/36)
Simplify ((q*q**(-1)*q**4)/(q*q*q**(1/7)*q*q/(q*q**(-7)/q*q)))**(2/31) assuming q is positive.
q**(-86/217)
Simplify ((((l*l**(-5)*l)**12)**(30/13))**(-3/20))**(12/5) assuming l is positive.
l**(1944/65)
Simplify (((s**(-5)*s/(s/(s/(s**(-1)*s))))**17)**(1/8))**26 assuming s is positive.
s**(-221)
Simplify ((c**(-14/9)*c*c)/(c/(c**(-14)*c))*c*c*c**8*c*c**(-9))**(17/3) assuming c is positive.
c**(-1768/27)
Simplify (i**(-2)*i/(i/(i/(((i*i**(2/3))/i)/i))))**46/((i**(-1/4))**45)**48 assuming i is positive.
i**(1528/3)
Simplify (((k/k**(3/5)*k**(3/4))/((k*k*k**(1/2)*k)/(k*k**1*k*k*k*k)))**(8/9))**(-14) assuming k is positive.
k**(-2044/45)
Simplify ((m*m*m**(-34))/(m/((m/(m*m*((m/m**(3/38))/m*m)/m))/m))*m**(5/4)/((m*m*m**(-13/5))/m))**(-7) assuming m is positive.
m**(85309/380)
Simplify (d/(d/d**(-2/9))*d*d*d*d**(1/4)*d)/((d**(2/3)*d)/d*d**1)*(d/d**(-2/9))/d**(-1/5)*d**(-4/7)/d**(-1) assuming d is positive.
d**(1769/420)
Simplify (g/(g/((g/(g*g**5))/g))*g**(1/6))/(g*(g/g**(2/3))/g)**35*((g*g*g**(-2/5)/g)/g)/(g*g*g**(1/3)*g*g)*g**(1/3)*g/g**(-4) assuming g is positive.
g**(-169/10)
Simplify ((c/c**12)/c**(4/9)*(c**(-3/8)/c)**(-49))**(-29) assuming c is positive.
c**(-116783/72)
Simplify ((((o**(-14)*o)/o*o*o)/o**(3/2))**(-45))**41 assuming o is positive.
o**(49815/2)
Simplify (((x*x/(x**(-1)/x))/x)**(-1))**(-34)/(x*x**(-2)*x*x**(-1)*(x*x**(5/3))/((x**(2/19)*x)/x)) assuming x is positive.
x**(5725/57)
Simplify ((c/c**(1/4))**(-16))**30/((c/(c*(c*c/(c*c**(-1)))/c))**(-13))**(-26) assuming c is positive.
c**(-22)
Simplify ((t**4*t**(2/11)/t)/(t**0/t)**32)/((t/t**(-1))**(-12)/((t/(t*t/(((t*t**(-1)*t)/t)/t*t*t*t)*t))/t)**5) assuming t is positive.
t**(596/11)
Simplify ((z**(2/3))**40)**(-15)/((z**(2/3))**(10/13)*z/(z**(2/3)*z)*z*z**2*z) assuming z is positive.
z**(-5250/13)
Simplify ((s**(-1/9)/s*s/(s*s**(1/6))*((s/(s*s*s/((s**2*s)/s)))/s)**45)**(-38))**(-20/9) assuming s is positive.
s**(-316540/81)
Simplify ((((l*l/l**(2/9))/(l**(-3)/l))**(-34))**0)**(2/33) assuming l is positive.
1
Simplify ((c**(-1))**(-3/7))**15*(((c*c**(-6))/c)/(c*c*c**(1/4)))/(c**(-3/2)/c**(6/5)) assuming c is positive.
c**(123/140)
Simplify ((w*w**(7/4))**(4/29)/(w/(w**26/w)*w**(-1/14)*w))**(26/3) assuming w is positive.
w**(123773/609)
Simplify (((q*(q**4/q)/q*q)/(q**(-14/11)/q))**19)**44 assuming q is positive.
q**5244
Simplify ((x**(-1))**(-3/10)/(x/x**(-2/7))**(-15))/((x**(-1/4)*x)**(-2)/(x**(-4)/x**(2/9))) assuming x is positive.
x**(5312/315)
Simplify ((d**(-1)/d)**(2/3))**(-18)*(d**(-2/7)*d**6)**(5/14) assuming d is positive.
d**(1276/49)
Simplify ((b/((b/b**(1/12)*b)/b)*b)/b**(-3/2)*b**(4/3)/b*(b*b**(2/7))/b)**48 assuming b is positive.
b**(1076/7)
Simplify ((f**4/f**(4/5)*f**(-3/16)/(f*f**8))**(-38))**(3/7) assuming f is positive.
f**(27303/280)
Simplify ((p**(-14)/p)/(p*p**6))**(-3/13)/(((p*p**3)/p**(2/3))/(p/(p*p*p**2*p))**(-7/2)) assuming p is positive.
p**(614/39)
Simplify (x*x**(-1))**42*(x*x**(2/9)/x)/x*x*(x/(x/(x*(x*x**(2/11))/x))*x)/x*(x/(x*(x/(x**(-2/3)*x))/x))**22*x/(x*x/x**6*x)*x**1 assuming x is positive.
x**(1360/99)
Simplify ((b**(-3/5))**15/(b**9/b**(7/5)))**(-2/5) assuming b is positive.
b**(166/25)
Simplify (k**(-1)*k**1)/(((k/(k**(-1/2)/k))/k)/k**(-1/5))*((k/(k/k**(-8)))/k*k**(-3))**24 assuming k is positive.
k**(-2897/10)
Simplify ((c/c**(-1/2))**(5/4))**(-37)/(c*c**(-1/2)/c*c*c**0*(c/(c/(c/((c/(c*(c*((c/c**4*c)/c)/c)/c*c*c))/c)*c)))/c**(-4)) assuming c is positive.
c**(-599/8)
Simplify ((c/c**(1/4)*c)**(-48))**(2/85)*c*c/(c**(-2/3)/c)*c*c**(-1/11)*c/c**(1/2)*c*c*c**(-2/3) assuming c is positive.
c**(8289/1870)
Simplify (z/(z/(((z/(z/(z*z**(-1/12))*z))/z)/z)))**(2/35)*(z*z*z*z/((z**(2/13)/z)/z*z)*z)**(-1/9) assuming z is positive.
z**(-1259/1638)
Simplify (v**(-2/5))**(-37)/(v**(-1))**(-11)*v**(1/6)/v*v**0*v**(-2/13)/(v*v**(-2/3)) assuming v is positive.
v**(967/390)
Simplify ((i**(-28)/i*(i/(i/i**34*i))/i)/((i/((i*i**(-7/4))/i))/i**8))**18 assuming i is positive.
i**(297/2)
Simplify ((s**(-5)*(s/(s**5*s*s))/s)/(s/s**(-6)*s*s*s**7))/((s*s**(2/7)*s)/s**(-3/4)*((s**0/s)/s)**7) assuming s is positive.
s**(-477/28)
Simplify ((y*y**(-2/3)*y*y)**18/(y/(y**(-2/29)/y)*(y**(-3)*y)/y))**41 assuming y is positive.
y**(51045/29)
Simplify (o**1*o**6/o*o)**26*(o**1*(o/(o**4/o))/o)**(2/35) assuming o is positive.
o**(6366/35)
Simplify (x**(-4)*x**17*x*(x**(-3/5))**(-47))**(-2/139) assuming x is positive.
x**(-422/695)
Simplify g**(-2/65)*g*g*g**(-2/5)*g*(g*g**(-2/13)*g*g)/(g/g**1) assuming g is positive.
g**(352/65)
Simplify (((m*m**9)/m)/(m**(13/2)*m)*m**(-2/5)/m**(3/2))**(1/11) assuming m is positive.
m**(-2/55)
Simplify ((o*o/(o/(o*o*o*o*o**(2/21))*o)*o/(o*o/o**18))/(o*o**(-4))**(-10))**40 assuming o is positive.
o**(-7480/21)
Simplify (((y**(-2/7)/y)/y*y*y)**(-15/7)*y**(1/3)/y*y**(-5/6)*y*y)/(y**1/y**(-6)*((y/y**(-1/4))/y)**7) assuming y is positive.
y**(-1497/196)
Simplify (l**7*l**(-3)*(l**(-2/9)/l)/l*(l/(l/l**2)*l)/l)/((l**(4/3)/(l*l*l**(-1)))/(l**7*l*l**(-2))) assuming l is positive.
l**(85/9)
Simplify ((i**(-7)/i*i*i)**48*(i**(1/2)*i*i)**(-15))**(2/11) assuming i is positive.
i**(-651/11)
Simplify ((w/(w*w*w**(-1)/w))/w)**2*w**(-3)*w/w**(1/5)*w/(w/w**(2/13)*w)*w**(-2)*w**4*w**(-8) assuming w is positive.
w**(-588/65)
Simplify (y*y**1/y*y)**(6/5)/(y/y**(-2/3))**(-2/121)*y**0/(y/((y*y/y**(1/3))/y))*y**(-4)/y**(-2) assuming y is positive.
y**(57/605)
Simplify (((((u/(u*u*u**(3/7)*u)*u)/u)/u*u*u*u**1/u)/(u**(1/3)*u**(-7)))**50)**(-14) assuming u is positive.
u**(-11000/3)
Simplify ((r/r**(1/3))**(4/3))**(4/5)/(r/(r**(-2/15)*r)*r**(-2/5)/r*r/(((r*r**2*r*r)/r)/r*r)*r*r**(-2)) assuming r is positive.
r**(269/45)
Simplify f**(2/3)/f**1*(f/f**(1/4))**(-4/15)*(f**2*f)**21/((f*f/(f/(((f*(f*f**(1/8))/f)/f)/f)))/(f*f**(2/3))) assuming f is positive.
f**(7681/120)
Simplify (h**(-36))**(-1/12)*(h/(h**9*h))**(-15/4) assuming h is positive.
h**(147/4)
Simplify ((((l/(l/(l**(-2/7)*l)))/l*l)/l**5*((l*l/(l*l**(6/5)))/l)/(l/(l*l*l/(((l**2/l)/l)/l))))**21)**43 assuming l is positive.
l**(-11223/5)
Simplify (((w*w**(-1/4)/w*w)**(3/8))**(11/2))**(34/7) assuming w is positive.
w**(1683/224)
Simplify (u**(-5/9)*u**(-30))/((u/(u**0*u))/(u/u**(-12/7))) assuming u is positive.
u**(-1754/63)
Simplify (b**(-1)/((b/(b/(b**(-3)/b))*b)/b))**(-7)*(b/b**(-1)*b**3/b)/(b**(-2/13)/(b*b/(b/(b*b*(b*b*b/((b/b**(2/9))/b))/b*b)))) assuming b is positive.
b**(-1243/117)
Simplify u*(u**(-4/7)/u)/u*u**(3/2)*u**2*u**(-1)*(u/u**(-1))/(u*((u*u/u**(1/3))/u)/u)*(u**(2/3))**(-2/27) assuming u is positive.
u**(2509/1134)
Simplify (h**(-5)/(h**3/h))/(h**6/h**(-2/5))*h**6/(h**(-3)/h*h)*h/h**(1/4)*h**(2/13) assuming h is positive.
h**(-909/260)
Simplify ((s**1)**(-8))**(6/7)/((s**(-4)/(s/(((s/(s**(1/12)/s))/s)/s)*s))/(s**(-2/11)*s**(-1/2))) assuming s is positive.
s**(-1345/924)
Simplify ((i**(-1)/((i**(3/4)*i)/i))/(i**1*i)**(-14))/(((i*(i*(i*i/i**4*i)/i)/i)/i*i**(-2/13))/(i*i*i**1)**(1/52)) assuming i is positive.
i**(370/13)
Simplify (k/(k/(k**2/k))*(k*k*k**(2/3)*k*k)/k*(k**3/k)/k**2)/((k**(-1/3)*k**(-2))/(k**1/(((k**(-3)*k)/k*k)/k))) assuming k is positive.
k**11
Simplify (z**(1/5)*z**(-3))**(-22)/(z**(-2/3)*z/(z**0*z)*z**(-4)/(z**1/z)) assuming z is positive.
z**(994/15)
Simplify ((c/(c/(c** | {
"pile_set_name": "DM Mathematics"
} |
-1 + 20/a). Solve 19 = 4*u + b for u.
3
Suppose 0 = -4*x + 3*w + 52, 37 = 3*x - w + 3. Suppose 0 = 2*i + 6 - x. Suppose -2*v + 3*m + 3 = 0, -7*v = -i*v - 3*m - 12. Solve 2 = -v*a + 5*a for a.
1
Let q(u) be the second derivative of -u**5/5 - 5*u**4/12 - u**3/2 + 2*u**2 - 15*u. Let z be q(-2). Let r = z - 18. Solve 2 = -r*p + 5*p for p.
2
Suppose 2*n = -4*m + 16, -m = 3*n - 0*m - 44. Suppose 5*o - 104 = -21*a, -8*o + 10*o - 12 = -a. Solve o*c + 8 = n for c.
2
Suppose 0 = -5*k + 44 + 1. Suppose 5*u = -y + 4, 4*y - 7 = 3*u + k. Let l = 10 + u. Solve -3*r - l = -r for r.
-5
Let t = 366 - 354. Suppose -t = 3*x - 4*x. Solve -7*c + x = -10*c for c.
-4
Suppose 124*t = -29*t + 21*t + 25212. Solve 14*b = -107 + t for b.
6
Let k(o) = 2*o**2 + 9*o + 31. Let h be k(-7). Let d = 70 - h. Suppose 4*q + d*u = 2*u + 10, -5*q + 3*u = -29. Solve m = -3 + q for m.
1
Let i(h) = h**3 - 2*h**2 - 15*h + 39. Let j be i(4). Solve 0 = -15*l - j - 4 for l.
-1
Suppose -2 = -5*y - 4*f, 42*f = -2*y + 46*f + 12. Suppose 6*i - 40 = i. Solve -10*k - y = -i*k for k.
-1
Suppose -9 = -r + 1. Let t = -11 + 13. Suppose -r + 6 = -t*u. Solve -u*y = 2*y + 20 for y.
-5
Let o be (-1)/3*(-10 - (-4 + 6)). Let k(v) = 2*v - 8. Let g be k(o). Let r be 18/(4 + -1) - 3. Solve r*t - 3 + 6 = g for t.
-1
Suppose 2*o = -2*o, -3*j + 5*o + 15 = 0. Suppose -t - 4*w - 5 = 0, -w = j*t - 0 - 13. Solve x - t*x + 10 = 0 for x.
5
Suppose -32*d + 2 = -30*d. Let b be 124/(3 + d) - 2. Let o = -25 + b. Solve 1 = -o*z + 9 for z.
2
Let z be (-342)/81 + (-4)/(-18) - -10. Let p be z/54 + 132/27. Solve m = -4*m - p for m.
-1
Suppose 5*t - 39 = -3*u - 17, u = 4*t - 4. Suppose -5*s + 5*c = -22 - 18, -37 = -5*s + t*c. Solve s + 2 = 9*l for l.
1
Let y be (0 - (-6)/(-4)) + (-3)/(-2). Solve y = 110*m - 108*m + 2 for m.
-1
Let s = -64 - -135. Suppose -4*t + 124 = 4*o, 5*o - 80 = -t + s. Let g be (o/(-4))/(6/(-12)). Solve l + 2*l = g for l.
5
Let q(p) = p**3 - 32*p**2 - 7*p + 224. Let b be q(32). Solve 0*w - 4*w - 28 = b for w.
-7
Suppose 2*a + 12 = 3*a. Let g be 8 + -1 + a - 8. Solve -3 = 7*c + g for c.
-2
Suppose 2*t - 8 = -0*u - 3*u, 5*t - 13 = -4*u. Let d be (74/(-72) + 4/(-18))*(82 + -86). Solve -d + u = -o for o.
3
Suppose -2*j + 9 = 3 - 2. Solve 6*u + j = 10*u for u.
1
Suppose -d = 4*a - 2*a - 10, 2*a + 2*d - 14 = 0. Let p(o) = -9*o + 23. Let s be p(a). Let f be 0 + s + (-13)/(-1). Solve 0*u + f = 3*u for u.
3
Suppose 6*j - 4*k = 9*j - 32, 5*k = 3*j - 14. Suppose j*x + 5*x = 0. Solve x*y = 3*y + 9 for y.
-3
Let u be 61 - 0 - (-16 - -14). Let o = -69 + u. Let j be ((-2)/6)/(o/90). Solve -2 + 17 = -j*z for z.
-3
Let q = -343 - -343. Suppose -5 = 3*t + 1. Let r be (q/(t/(-2)))/2. Solve 5*j - 4*j - 2 = r for j.
2
Suppose -5 = -6*x + 13. Suppose -v + s + 2 = 0, 4*v - 10 = -0*v + 2*s. Solve -3*b = v + x for b.
-2
Let r(t) = 6*t + 146. Let a = -57 + 36. Let y be r(a). Solve 8*b - y*b - 12 = 0 for b.
-1
Suppose 0 = -q + 2*c + 827, -5*c + 3269 = 5*q - q. Let p = 825 - q. Solve -5*d + p*d + 2 = 0 for d.
2
Suppose -5*t - 6 = -2*m, -t = 41*m - 43*m + 6. Suppose -10*y - 23*y = t. Solve y = -7*f + 10*f for f.
0
Let u = 5923 - 5923. Solve u = 5*x + 4*x - 4*x for x.
0
Let w(k) = -k**3 - 45*k**2 - 164*k + 10. Let z be w(-41). Solve 76 = -z*n + 29*n for n.
4
Suppose -4*g + 5 + 7 = 0, 141 = 5*d + 2*g. Suppose 0 = -d*s + 79 + 83. Solve -s*q = 8 + 10 for q.
-3
Let o(k) = 6*k - 59. Let b be o(11). Suppose 108 + 88 = b*p. Solve 14*z = 7*z + p for z.
4
Suppose 12 = -4*p, -5 = 3*l - 5*p - 32. Suppose -l*b = 5*r - 46, -3*b - 10*r = -15*r - 52. Solve 17 = -3*q + b for q.
-1
Suppose 8 = -p, 42*u - 47*u + 25 + 17 = -4*p. Let o be 24/15*170/4. Solve -u*l = -78 + o for l.
5
Suppose -r + 9*x + 361 = 5*x, -5*x = 2*r - 735. Let c = -363 + r. Solve 19 = -c*k + 9 for k.
-5
Suppose -2*g = 12 - 24. Let f be 25/45*g*36/10. Let s be ((-10)/(-6))/(4/f). Solve 14 + 6 = s*h for h.
4
Let q = -3488 + 3554. Solve -2*i = 20*i - q for i.
3
Suppose 4*l - 36 = -4. Let n be ((-48)/(-36))/((-2)/(-3)). Suppose 2*m - l = 4*i, 2*m - n*i - 28 = -2*m. Solve 8*a = 4*a + m for a.
2
Suppose -6*r + 2*r - 5*q + 22 = 0, 0 = -q - 2. Suppose 9*k + r = 10*k. Solve x - k*x = 14 for x.
-2
Let b be ((-50)/(-15))/(2/(-9)). Let z be (-6)/b - (-146)/10. Suppose 0 = -5*o - y + 36, -4*o + 4*y + 9 + z = 0. Solve -o*n + 2*n = -20 for n.
4
Let o(r) = -r**2 + 10*r - 3. Let k be o(1). Solve 48*b = 42*b + k for b.
1
Let g be 0/(-4*10/40). Solve g = -30*r + 26 - 176 for r.
-5
Let h(b) = -31*b**3 + 13*b - 30*b**3 + 60*b**3 + 12*b**2 + 2. Let d be h(13). Solve -w = -d*w for w.
0
Suppose 6*l - 2*l + 36 = 0. Let x = 9 + l. Suppose -2*i + 9*i - 14 = x. Solve 0*u = u - i for u.
2
Let s(b) = b**2 - 51*b + 12. Let a be s(-7). Let z = a - 418. Solve 4*u - 1 - 7 = z for u.
2
Let w be (-17)/((-289)/1666) + 7/((-14)/16). Solve -84*c + 18 = -w*c for c.
-3
Suppose 0 = -2*d - 74 + 90. Let k = 11 - d. Let i(v) = v**3 - 2*v**2 + v - 4. Let o be i(k). Solve -1 = -3*m + o for m.
3
Suppose 3*f + 4 = -q, -3*f = 5*q - 13 - 3. Suppose -42 = r - q. Let b = -37 - r. Solve b = -m + 2 - 3 for m.
-1
Let l be 99*((-20)/(-15))/2. Suppose m = 7*m - l. Solve -3*u + m = -1 for u.
4
Let x = 2796 - 2766. Solve 47*d = 62*d + x for d.
-2
Let g(t) = 3. Let b(l) = -18*l + 108. Let i(a) = b(a) + 6*g(a). Let k be i(7). Solve 0 = 3*c - 15 - k for c.
5
Let p be (-21)/35 + (-746)/(-10) + -11 + 14. Solve 7*s + p = -4*s for s.
-7
Let u(v) = 2*v**3 - 12*v**2 + 3*v + 9. Let d be u(5). Suppose -g - 13 = -3. Let z = g - d. Solve 6*l - z = 2*l for l.
4
Suppose 20 = 5*b + s, 4*b - s - 25 = -9. Suppose -l - 9 = -f + 3*f, -5*l - 17 = -4*f. Let r be ((-3)/f)/((-33)/220)*-2. Solve b*c + r = -c for c.
-4
Suppose -4*s + 32 + 92 = 0. Let l = -25 + s. Suppose -l*b = -2*b. Solve b = -0*z + 2*z for z.
0
Let k = -3063 + 3249. Solve -190*b + 8 = -k*b for b.
2
Let j(m) = m**2 - 56*m - 165. Let o be j(-3). Solve 22 = -o*l + 34 for l.
1
Let t be (0 - -216) + 0/(-15). Suppose -t = m - 236. Solve -m = q - 6*q for q.
4
Let s(g) = -g**2 - 44*g - 435. Let q be s(-29). Solve -b + 2 = -q*b for b.
2
Suppose -506 - 313 = -9*t. Let w be 26/t + (-40)/(-7). Solve -2*b + w = 2 for b.
2
Suppose 0 = 2*t + 53 - 69. Solve -t*j + 10*j + 10 = 0 for j.
-5
Suppose -5*f + 2 = c, -36*f + 4*c + 11 = -37*f. Suppose -3*r = -a - 2 - 4, -3*a + 3*r = -12. Solve -2*d = -f + a for d.
-4
Suppose -x = -5*b + b + 16, 4*x - 4 = -b. Solve b*a - 40 = -4*a for a.
5
Let h = 10203 - 10153. Solve 0 = -h*t - 15*t - 455 for t.
-7
Let i = 2 + 0. Let z(f) = -f**2 + 15*f - 78. Let u be z(26). Let a = 367 + u. Solve -a = -i*m + 3 for m.
3
Let k(o) be the second derivative of -o**4/12 + 7*o**3/3 - 17*o**2 - 64*o. Let i be k(5). Solve -2*h = -i*h + 9 for h.
1
Let t be 0/2*-10*4/(-40). Solve t = -39*m + 11*m + 112 for m.
4
Let t = 864 - 864. Solve t = 7*v + 5 + 30 for v.
-5
Let u(k) = 5*k + 77. Let b be 1100/(-77) + (-4)/(-14). Let x be u(b). Let m(l) = 3*l - 11. Let p be m(5). Solve p*h = x*h for h.
0
Let g be (-56)/24*54/(-63). Solve -6*d = g*d + d for d.
0
Let l(i) = i - 2. Suppose m - 28 = -0*m. Let g = m - 19. Let d be l(g). Solve -4*s - 3 + d = 0 for s.
1
Suppose -2231*j + 2244*j - 208 = 0. Solve -18*t = 20 + j for t.
-2
Suppose -84*r - 440 = -94*r. Let z be (6/4)/(28/24 - 1). Solve z*x - r = 1 for x.
5
Let x = -56 - -80. Suppose o - 14 = -4*u, -8*u + 5*o + 30 = -3*u. Solve -4 = -u*h - x for h.
-5
Let k = -11 + 8. Let i be ((-6)/9*3)/(k/6). Suppose -3*j = -i*z + 70, -z - j + 18 - 4 = 0. Solve 12 = -w + z for w.
4
Let n be 3242/16 - 48/(-128). Let h = n - 197. Solve 0 = h*x - 8*x for x.
0
Let v(u) = 7*u**3 - u**2 - 2*u + 3. Let n be v(2). Suppose 14 = 5*i - n. Suppose -32*l = -45*l + 65. Solve -l*w = -7 - i for w.
4
Suppose 0 = -2*w + 4*w - 6, p - 5*w = 5. Let s = 26 - p. Solve -s = 4*z + 10 for z.
-4
Suppose -3*z = i - 43 - 67, 2*z - 12 = 0. Solve 0 = i*p + 16*p - 324 for p.
3
Let m be 28/(-6)*(-3)/2. Suppose -34*z + z = -1221. Suppose z = 25*s - 38. Solve -m = 5*o + s for o.
-2
Suppose -5*u = 3*h - 12, -2*h - 4*u + 8 = -u. Suppose -h*o + 95 - 83 = 0. Solve 7*n - o = -24 for n.
-3
Let j = -979 + 981. Suppose 2*g - f - 11 = 0, -6*g + 3*g + 5*f + 34 = 0. Solve -g = j*w - w for w.
-3
Let i be ((-95)/(-285))/(2/9 - 7/36). Solve 0 = i*r + 22*r - 34 for r.
1
Suppose 2*c = -2*c - 8. Let f = 33 - c. Let m = f | {
"pile_set_name": "DM Mathematics"
} |
)?
2
Let g(j) = j**3 + 21*j**2 + 8*j + 2. Let c be g(-21). Let r = -55 - c. What is the tens digit of r?
1
Let l = 1986 - 1347. What is the hundreds digit of l?
6
Suppose -10*q - q = -2783. What is the tens digit of q?
5
What is the hundreds digit of 5*2*1/((-1)/(-25))?
2
Suppose q = -7 - 5. Let b be (-80)/q*(-108)/10. Let d = 105 + b. What is the units digit of d?
3
Let n(t) = t**3 + 4*t**2 + 13*t + 5. Let f be n(-5). Let w = 152 + f. What is the units digit of w?
7
Suppose -2*t - t + 6 = 2*r, -4*t = r - 3. Let s be 0 + (-29)/(-1) + -1. Let n = s - t. What is the units digit of n?
8
Let y be 2*((-27)/6 - -4). Let v be (y + -2 - -2)*-5. Suppose -5 = -0*t - 2*t + v*u, -45 = -4*t + 3*u. What is the units digit of t?
5
Let w(a) = 7*a**3 - 5*a**2 + 6*a - 60. What is the units digit of w(5)?
0
Suppose -3*o - 2*z + 23 = 0, z - 5 - 1 = -o. Let l(w) = -w**2 + 4*w - 6*w + 2 - o*w. What is the units digit of l(-13)?
2
Suppose n + 30 = 6*n. Suppose 120 = 9*k - n*k. What is the tens digit of k?
4
Suppose -5*c + 6*m + 1093 = 2*m, m = -4*c + 887. Let f = 374 - c. What is the tens digit of f?
5
Let i = 767 - 630. What is the units digit of i?
7
Let b be (-10)/(-2) - (11 - 9). Suppose -4*o - q - 215 = -7*o, b*o - 5*q - 223 = 0. What is the units digit of o?
1
What is the hundreds digit of ((-237)/12*-2)/(13/182)?
5
What is the tens digit of (0 + -113)/(1 + -2)?
1
Suppose 50 = -6*o + 8. What is the tens digit of (-558)/o - (-34)/119?
8
Suppose -8*p + 6948 = p. What is the units digit of p?
2
Let w be (-6)/15 - 240/25. What is the tens digit of -3 + (1 - w) + 2?
1
Let l = -114 - -291. Suppose -l - 168 = -3*h. What is the tens digit of h?
1
Let d(n) be the third derivative of -n**5/30 - 29*n**4/12 - 4*n**3 + 25*n**2 + 2. What is the tens digit of d(-28)?
3
Suppose 2*t + 5 = 3*s, -8*t - 2*s - 60 = -3*t. Let l be (t/6)/(1/57). Let p = -23 - l. What is the tens digit of p?
7
Suppose -6*b + 25 = -11*b, -5*b - 25 = -5*v. Suppose v = -2*q - 4*n + 72, 10*q = 8*q + 2*n + 48. What is the tens digit of q?
2
Let i be (2/(-4))/((-1)/10). Suppose 146 = 5*y - i*x + 3*x, -9 = 3*x. Suppose 2*v = -0*v + y. What is the units digit of v?
4
Let a be -4 + 2 - 1*-3. Let u be a - -3 - (2 - 0). Let z(h) = 3*h - 1. What is the units digit of z(u)?
5
Suppose -10*j = -15*j - 45. Let b(f) = -5*f + 9*f**2 - f + 5*f + f**3 - 3. What is the units digit of b(j)?
6
Suppose 44 + 8 = 4*r - 2*v, 8 = 2*v. Suppose -5*u - j + r = j, 2*u - 22 = -4*j. What is the units digit of u?
1
Let x(v) = -v**2 - 5*v + 13. Let j be x(-8). What is the tens digit of (94 - 0) + (-44)/j?
9
Let u = 397 - 209. What is the tens digit of u?
8
Suppose 5*q + 2*a = 33, a = -5*q + 4*a + 13. Suppose -3*t = 0, -q*m = -2*t - 76 + 31. What is the units digit of m?
9
Suppose -l - 200 = -2*f + 544, 375 = f - 2*l. What is the tens digit of f?
7
Let y = 39 - 2. Let i be (-54)/7 - (-4)/(-14). Let d = i + y. What is the tens digit of d?
2
Suppose 0*u = 50*u - 75350. What is the thousands digit of u?
1
Let x(v) = v**2 - 6*v - 12. Let h be x(10). Let t = h + -24. Suppose -t*d + 84 + 172 = 0. What is the tens digit of d?
6
Suppose -107 = q - 5*x, q + 87 = -2*x - 27. What is the units digit of 9/(-18)*(q - -2)?
5
Suppose 2*y = 5*h - 3*y - 415, 0 = 4*h + 5*y - 296. Suppose 7*u - 310 = -h. What is the units digit of u?
3
Let u(l) be the third derivative of 47*l**6/120 - l**5/30 + l**4/24 + l**2. What is the tens digit of u(1)?
4
Let y(x) = x + 5. Let i be y(-2). Suppose 2*l = i*l - 36. What is the units digit of l?
6
Let t(f) = -3*f - 67. Let w(s) = s. Let u(x) = -t(x) - 2*w(x). What is the units digit of u(0)?
7
Suppose -13*r - 3*r = -6736. What is the hundreds digit of r?
4
Let b = -8 + 34. Suppose -m + 3*q - 6*q - 13 = 0, 4*q + b = 3*m. What is the units digit of m?
2
Let h(z) = 16*z + 18. Let u be h(18). Suppose 0 = -15*a + u + 219. What is the units digit of a?
5
Let d(b) = -3*b - 32. Let i be d(-12). Suppose 66 = -i*v + 6*v. What is the units digit of v?
3
Let l(d) = 8*d - 4. Let v = 6 - 7. Let z = v - -4. What is the units digit of l(z)?
0
Let s(i) = 5*i**2 - 4*i + 9. Let t(d) = -d**2 - d + 1. Let l(a) = -s(a) - 6*t(a). What is the units digit of l(-16)?
1
Let j(h) = h - 1. Let o(q) = -22*q + 22. Let u(s) = -5*j(s) - o(s). Let g be u(9). Suppose 3*x - a - 108 = 0, 4*a + g = 3*x + x. What is the tens digit of x?
3
What is the hundreds digit of (312/(-16)*2)/(9/(-381))?
6
Let y(v) = 52*v - 2. Suppose 3*a - 12 + 6 = 0. What is the units digit of y(a)?
2
What is the units digit of (74412/416 + 1/8)*2?
8
Let a be 10/(-6) - 2/(-3). What is the hundreds digit of (6/(-12))/(a/204)?
1
Let z = 705 - 327. Suppose -6*i + z = -0*i. What is the units digit of i?
3
Let s = 43 - 92. Let z = 289 + s. What is the tens digit of z?
4
Let b = -57 - -97. Let j(z) = -2*z**3 + 2*z**2 - z - 1. Let g be j(-3). Let q = g - b. What is the units digit of q?
4
Suppose -4*j + 9 + 3 = 0. Suppose 8*s + 2*t = 3*s + 218, 41 = s + j*t. What is the units digit of s?
4
Suppose -108*z - 67872 = -136*z. What is the hundreds digit of z?
4
Let g(l) = 68*l - 7. Let v be g(-2). Let o = v + 209. What is the tens digit of o?
6
Let y(w) = w**2 - 14*w - 47. Let v be y(-8). Suppose -v = -5*q + o, -q + 0 = 4*o - 9. What is the tens digit of q?
2
Let v be 6/33 + 62/22. Let y be v/2 - (-3)/6. Suppose -5*q - 117 = -4*k, y*k = -2*k - 4*q + 72. What is the units digit of k?
3
Suppose 2*n - 57 = -n. Suppose 0 = -2*c + 3*h - 6*h + n, -4*h + 12 = c. What is the tens digit of (-188)/(-16) + 2/c?
1
Suppose 4*c = 5*c - 14. Let j = 12 - c. Let a(b) = -9*b - 3. What is the units digit of a(j)?
5
Suppose 5*a = -3*t - 15, -a - 4*t = -5 + 25. Suppose 2*f = -4*m + m + 38, -3*f + m + 57 = a. What is the tens digit of f?
1
What is the tens digit of (44/(-33))/(9231/3078 + -3)?
6
Suppose -x = 3*m - 462, -3*x + 1347 = -6*m + 2*m. What is the hundreds digit of x?
4
Suppose 0 = 2*t - 5*t + 9. Suppose 0*k = -t*k - 5*u + 172, 0 = 3*k - 4*u - 208. What is the units digit of k?
4
Let k be -12*1*(-13)/((-117)/(-6)). Suppose x - 101 = k. What is the units digit of x?
9
Let g be (23 + -23)/(1*-1). Suppose 0 = -3*w - g*w + 183. What is the units digit of w?
1
Suppose 0 = -2*x + 2, 2*m - 5*m + 4*x = 94. Let q = 125 + m. What is the units digit of q?
5
Let d(j) = -45*j**3 - 3*j**2 + 2*j + 1. What is the units digit of d(-2)?
5
Let p be (-1 - -2 - (-4)/6)*3. Suppose -3*o + 532 = -p*t, o - 151 - 13 = -t. What is the hundreds digit of o?
1
Suppose 0 = 4*f, 18130 = 170*v - 165*v + 2*f. What is the units digit of v?
6
Let o(t) = 2*t**2 + 4*t - 2. Let r(j) = -j - 1. Let y(f) = o(f) + 3*r(f). What is the tens digit of y(-6)?
6
Let w be (17/(-34))/((-1)/898). Suppose 6*z = z + 2*p + w, -z + 97 = 2*p. What is the tens digit of z?
9
Let w(l) = 5*l**2 - 14*l + 118. What is the tens digit of w(10)?
7
Let x = -9 + 36. Let i = x + -23. Suppose 4*v = -q + 21, -i*q + 71 = v + 2*v. What is the tens digit of q?
1
Let n(c) = -23*c**3 - 5*c**2 + 5. What is the tens digit of n(-2)?
6
Let r(i) = 6*i**3 - 11*i**2 + 10*i. Let z(q) = -7*q**3 + 12*q**2 - 10*q. Let w(o) = 4*r(o) + 3*z(o). What is the units digit of w(5)?
5
Let k = -23 + 23. Suppose k*s - 6*s = -36. What is the units digit of s?
6
Suppose -3*i + 9 = 0, -n - i + 99 = n. Let a = 84 - n. Let m = 26 + a. What is the units digit of m?
2
Let o = -57 - 53. Let q = -36 - o. What is the tens digit of q?
7
Let f(g) = -g**2 + g + 4. Let p be f(0). Suppose 4*t - 3*c = 8, -t + p*t + c = 19. Suppose 8*b - t*b = 192. What is the units digit of b?
4
Let j be ((-1)/2)/((-1)/(-2)). Let r = -563 + 669. What is the tens digit of j/(r/54 + -2)?
2
Let a(q) = 372*q - 582. What is the hundreds digit of a(13)?
2
Let s(b) = -5*b**2 - 16*b + 14. Let g(x) = -x**2 + 1. Let r(m) = -4*g(m) + s(m). What is the units digit of r(-12)?
8
Suppose 64 = p - 2*p. Let w = 139 + p. What is the tens digit of w?
7
Let y(z) = 4*z**2 - 2*z - 10. What is the units digit of y(-7)?
0
Suppose 181*s = 188*s - 4207. What is the tens digit of s?
0
Let s(d) = 3*d + 6. Let u be s(-2). Let x(g) = -4*g + 11. What is the units digit of x(u)?
1
Let d = -141 - -274. What is the tens digit of d?
3
Suppose h + 2*b = 2104, 5*h - 4*b = 8740 + 1780. What is the hundreds digit of h?
1
Let y = -5 + 4. Let t be (y/(-2))/((-6)/(-48)). Sup | {
"pile_set_name": "DM Mathematics"
} |
h that 1/4*r**2 + 0 + 1/4*r = 0.
-1, 0
Let i be (-3)/(4 - 1) + 1. Factor a + 5*a**2 + 2 + i*a - 6*a**2.
-(a - 2)*(a + 1)
Let w(m) be the second derivative of m**8/168 - 2*m**7/105 + m**6/60 - 3*m**2/2 + 3*m. Let a(q) be the first derivative of w(q). Find k such that a(k) = 0.
0, 1
Suppose -4*v + 2*v = -6. Factor -2*w**v + 2*w**5 + w**5 + 2*w**4 + w**5.
2*w**3*(w + 1)*(2*w - 1)
Let x = 16/17 - 110/153. Suppose -3*n = -2*n. Find z such that -x*z**3 + n*z + 0 - 2/9*z**2 = 0.
-1, 0
Let n(s) be the second derivative of -s**7/21 - 3*s**6/10 - 4*s**5/5 - 7*s**4/6 - s**3 - s**2/2 - s. Factor n(q).
-(q + 1)**4*(2*q + 1)
Let a(f) be the third derivative of f**6/120 - f**5/20 + f**4/12 + 5*f**2. Suppose a(j) = 0. Calculate j.
0, 1, 2
Let s(o) be the first derivative of -o**4/18 - 2*o**3/9 - o**2/3 + 4*o + 2. Let x(i) be the first derivative of s(i). Determine l, given that x(l) = 0.
-1
Let a(l) = -l + 7. Let z be a(4). Let 12/5*w**z + 0*w - 3/5*w**2 + 0 - 9/5*w**4 = 0. Calculate w.
0, 1/3, 1
Factor 0*v**3 + 0*v + 0*v**4 + 1/3*v**5 + 0*v**2 + 0.
v**5/3
Let i(b) be the third derivative of 0*b - 4/27*b**3 - 1/27*b**4 - 1/270*b**5 + 0 + 2*b**2. Find w such that i(w) = 0.
-2
Let n be ((-12)/(-462))/((-3)/(-42)). Find i such that n*i - 2/11 - 2/11*i**2 = 0.
1
Let j = 4 - 0. Factor -5*z**2 - 3*z - 2*z**3 + 6*z**3 - 3*z**4 + 5*z + 2*z**j.
-z*(z - 2)*(z - 1)**2
Let 172*s**3 + 36*s**2 - 56*s**3 + 12*s + 3*s**5 + 18*s**4 - 77*s**3 = 0. Calculate s.
-2, -1, 0
Let j(a) = -3*a**2 - 12*a. Let c(v) = -v. Let q(t) = 6*c(t) - j(t). Determine l so that q(l) = 0.
-2, 0
Let d(t) be the third derivative of -t**9/211680 - t**8/70560 + t**7/8820 + t**5/60 - t**2. Let h(y) be the third derivative of d(y). Let h(n) = 0. Calculate n.
-2, 0, 1
Let x(o) be the third derivative of -o**5/100 + o**3/10 - 14*o**2. Let x(q) = 0. Calculate q.
-1, 1
Let k = 11 - 11. Let p(l) = l. Let a be p(k). Factor 0*v + a - 1/2*v**2 + 1/2*v**4 + 0*v**3.
v**2*(v - 1)*(v + 1)/2
Let z(x) be the first derivative of x**5/50 - x**4/30 - x**3/15 + x**2/5 + x + 2. Let d(p) be the first derivative of z(p). Factor d(n).
2*(n - 1)**2*(n + 1)/5
Let j(x) be the first derivative of 5*x**3/3 - 20*x - 12. Solve j(r) = 0.
-2, 2
Let k(r) be the third derivative of r**5/15 - r**4/24 + r**3/6 + 3*r**2. Let s be k(1). What is j in 8*j**3 + 2*j**5 + 4 + 4*j**2 - 8*j**s - 5 + 5 - 10*j = 0?
-1, 1, 2
Let w(i) be the second derivative of 2*i**5/75 + i**4/30 - i**3/45 - 10*i. Determine o, given that w(o) = 0.
-1, 0, 1/4
Let i(v) be the first derivative of -v**5/5 - v**4/4 + v**3/3 + v**2/2 - 1. Let i(h) = 0. What is h?
-1, 0, 1
Let t(y) = 2*y - 4*y + 0 - 6. Let u be t(-4). Find x, given that -5 - 2*x**3 + 3 - 6*x**2 - 4*x - u*x = 0.
-1
Let o(c) be the second derivative of 0 - 2/7*c**2 - c - 1/105*c**6 - 1/21*c**3 + 1/70*c**5 + 1/14*c**4. Suppose o(v) = 0. What is v?
-1, 1, 2
Let u(s) = -2*s**2 + 10 - 16 + 2*s**2 + 7*s**2 + s. Let d(c) = c**2 - 1. Suppose 0*k - 1 = -k. Let v(x) = k*u(x) - 6*d(x). Find q such that v(q) = 0.
-1, 0
Suppose 2*f + 5*c = -2*f + 17, 4*f = -4*c + 16. Determine p, given that 0*p**2 - 3 + 3*p + f*p**2 - p + 3*p**3 - 5*p = 0.
-1, 1
Let a(l) be the third derivative of l**8/420 + 3*l**7/140 + 11*l**6/180 - l**4/3 - 5*l**3/6 - 5*l**2. Let o(x) be the first derivative of a(x). Factor o(n).
2*(n + 1)*(n + 2)**2*(2*n - 1)
Determine m so that 2/3*m**3 + 4/3*m**2 - 14/3*m + 8/3 = 0.
-4, 1
Suppose c = -4*q - 3*c + 16, -3*q + 12 = -2*c. Let y be q/(-9)*15/(-10). Factor -2/3*x**2 - y*x + 0.
-2*x*(x + 1)/3
Let c be 10/6 - 59/(-59). Factor 0*j + c - 2/3*j**2.
-2*(j - 2)*(j + 2)/3
Suppose 4*p + 2 = 22. Let g(b) be the first derivative of 0*b - 2 - 1/8*b**2 + 1/12*b**3 - 1/20*b**p + 1/16*b**4. Determine r, given that g(r) = 0.
-1, 0, 1
Let h(p) = 7*p**5 + 7*p**4 - 9*p**3 - 7*p**2 + 6*p + 4. Let r(b) = -6*b**5 - 6*b**4 + 9*b**3 + 6*b**2 - 6*b - 3. Let y(z) = -3*h(z) - 4*r(z). Factor y(d).
3*d*(d - 1)**2*(d + 1)*(d + 2)
Let a = -35/4 + 119/12. Factor 3/2*n - a*n**2 - 1/3.
-(n - 1)*(7*n - 2)/6
Let c(p) be the second derivative of 0 + 1/3*p**4 - 6*p + 8*p**2 - 8/3*p**3. Suppose c(a) = 0. Calculate a.
2
Let a(r) = -15*r**2 - 105*r. Let m(g) = -10*g**2 - 70*g. Let z(w) = -5*a(w) + 7*m(w). Factor z(u).
5*u*(u + 7)
Let z(s) be the first derivative of -s**5/40 + s**4/24 + s**3/6 - 4*s + 3. Let x(d) be the first derivative of z(d). Find h such that x(h) = 0.
-1, 0, 2
Let p(f) be the second derivative of -f**8/1680 + f**7/420 - f**6/360 + f**3 - f. Let c(u) be the second derivative of p(u). Factor c(a).
-a**2*(a - 1)**2
Let h = 274/3 - 90. Factor 10*y**3 - 2/3*y**2 + 0 - h*y - 38/3*y**4 + 14/3*y**5.
2*y*(y - 1)**3*(7*y + 2)/3
Suppose 0*v - 1/6*v**2 + 0 = 0. What is v?
0
Let c be 6/51 + 868/714. Factor u**3 - 5/3*u + c*u**2 - 2/3.
(u - 1)*(u + 2)*(3*u + 1)/3
Let f(h) be the second derivative of -h**7/3360 + h**6/480 - h**5/160 + h**4/96 + h**3/2 - 2*h. Let d(s) be the second derivative of f(s). Factor d(c).
-(c - 1)**3/4
Let g be (-3)/2 + -7 + 153/18. Find m, given that -2/3*m**2 + g*m + 0 = 0.
0
Let u be 6/(-21) + 86/(-140) + 1. Let h(r) be the second derivative of -u*r**2 + 0 - 1/15*r**3 - 1/60*r**4 - 4*r. Factor h(b).
-(b + 1)**2/5
Let a(j) = 2*j**2 + 22*j - 6. Let w(k) = 5*k**2 + 65*k - 19. Suppose 3*b + 10 = -5*g - b, 4*b - 38 = 3*g. Let v(t) = g*w(t) + 17*a(t). Factor v(m).
4*(m - 3)*(m - 1)
Suppose -b + 19 = 4*h, 3*b + 1 = 4*h - 6. Suppose -q - 1 = -2*f - 6, -7 = -h*q - 5*f. Factor 3/4 - 3/4*s**2 - 3/4*s**q + 3/4*s.
-3*(s - 1)*(s + 1)**2/4
Let f(p) = p**5 + p**3 + p**2 + p + 1. Let w(n) = 33*n**5 - 9*n**4 - 9*n**3 + 3*n**2 + 6*n + 6. Let z(y) = -6*f(y) + w(y). Factor z(m).
3*m**2*(m - 1)*(3*m + 1)**2
Suppose -13*q**4 + 5 + 3*q**5 - 3*q**2 + 17*q**3 + 598*q - 1 - 606*q = 0. Calculate q.
-2/3, 1, 2
Let m = 1915/14 - 273/2. Find p such that 2/7*p**5 - 8/7*p**2 + m*p + 0 - 8/7*p**4 + 12/7*p**3 = 0.
0, 1
Let v(m) be the third derivative of 0 + 0*m - 2*m**2 + 0*m**4 + 0*m**3 - 1/120*m**6 + 0*m**5. Factor v(j).
-j**3
Let f(c) be the second derivative of 11*c**4/3 + 26*c**3/3 + 4*c**2 - 7*c. Factor f(t).
4*(t + 1)*(11*t + 2)
Suppose 0*x + 12 = -x - 5*t, 3 = -t. Suppose 0 = x*y + 5*o + 19, 5*y - o - 17 = -2. Determine w, given that -3 + 1 - w**4 + 5*w**y - w**2 - w**4 = 0.
-1, 1
Suppose h - 15 = 3*r, -2*h + 15 = -0*h - 3*r. Let h*c - 3/2*c**2 + 0 = 0. Calculate c.
0
Factor -4/3 - 34/9*i + 14/9*i**3 + 32/9*i**2.
2*(i - 1)*(i + 3)*(7*i + 2)/9
Suppose -3 - 6 = -3*u. Let w(j) be the first derivative of -2/3*j**3 - u - 1/3*j**6 + 2/5*j**5 + 0*j + 1/2*j**4 + 0*j**2. Factor w(p).
-2*p**2*(p - 1)**2*(p + 1)
Let r(f) be the second derivative of -f**6/120 - f**5/40 - f**4/48 + 6*f. Let r(h) = 0. Calculate h.
-1, 0
Let c(i) = -i**2 + 9*i - 9. Let o be c(8). Let s be (-6)/(-3) - (o - -3). Find b, given that 1/4*b**4 + s*b + 0 + 1/4*b**2 - 1/2*b**3 = 0.
0, 1
Let m(f) be the first derivative of -f**7/84 - f**6/60 + f**5/40 + f**4/24 - 3*f + 2. Let v(g) be the first derivative of m(g). Factor v(y).
-y**2*(y - 1)*(y + 1)**2/2
Let s(u) be the third derivative of u**7/504 + 7*u**6/1080 + u**5/180 + u**3/3 + u**2. Let f(w) be the first derivative of s(w). Factor f(y).
y*(y + 1)*(5*y + 2)/3
Let f(c) be the second derivative of c**7/168 - c**5/40 + c**3/24 + 11*c. Find k such that f(k) = 0.
-1, 0, 1
Let q(n) = n**2 + 1. Let o(z) = -5*z**3 + 9*z**2 + 20*z - 6. Let j(t) = o(t) + 6*q(t). Find s, given that j(s) = 0.
-1, 0, 4
Let g = 7 - 5. Factor 2 + 8*p**g + 2 - 3*p - 2*p**3 - 7*p.
-2*(p - 2)*(p - 1)**2
Let f(k) = 2*k**2 + 4*k. Let w be f(-2). Suppose 1/2*v**2 + v + w = 0. What is v?
-2, 0
Let z(i) be the first derivative of i**5/10 - 5*i**4/24 + i**3/18 + i**2/12 + 16. Factor z(f).
f*(f - 1)**2*(3*f + 1)/6
Solve -9/5*c**3 - 4/5*c**5 + 11/5*c**4 + 1/5*c**2 + 0 + 1/5*c = 0 for c.
-1/4, 0, 1
Factor 0 + 2*d + 1/2*d**3 - 5/2*d**2.
d*(d - 4)*(d - 1)/2
Determine b, given that 2*b + 4*b + 0*b**2 - 3*b**2 = 0.
0, 2
Let u be (-2)/1 - (-11 - -4). Let h = u + -3. What is m in m**2 + m - h*m + 0 - 2 = 0?
-1, 2
Let a = 23 + -16. Let -3 - 8*i**2 - 3*i + 1 + a*i + 6*i = 0. Calculate i.
1/4, 1
Let i(u) be the third derivative of 1/36*u**4 - 1/18*u**3 - 1/180*u**5 + 0 + 0*u - 2*u**2. Let i(b) = 0. Calculate b.
1
Let n = 3 + -3. Let a be -4 + ((-18)/(-2) - (5 + -2)). Let | {
"pile_set_name": "DM Mathematics"
} |
89, 779, 1007, 1279?
m**3 + m**2 + 88*m - 1
What is the i'th term of -56, -55, -56, -59, -64, -71?
-i**2 + 4*i - 59
What is the p'th term of 23, 56, 117, 212, 347, 528?
p**3 + 8*p**2 + 2*p + 12
What is the f'th term of -1357, -1353, -1349, -1345?
4*f - 1361
What is the i'th term of 5, -13, -57, -139, -271?
-2*i**3 - i**2 - i + 9
What is the a'th term of -17, 5, 63, 175, 359, 633, 1015?
3*a**3 + a - 21
What is the m'th term of 1173, 1187, 1193, 1185, 1157, 1103, 1017, 893?
-m**3 + 2*m**2 + 15*m + 1157
What is the t'th term of -62, -128, -196, -266, -338, -412?
-t**2 - 63*t + 2
What is the h'th term of -954, -956, -962, -972, -986, -1004, -1026?
-2*h**2 + 4*h - 956
What is the k'th term of -277, -550, -823?
-273*k - 4
What is the m'th term of -241, -259, -289, -331, -385, -451, -529?
-6*m**2 - 235
What is the u'th term of 3091, 3085, 3077, 3067, 3055, 3041, 3025?
-u**2 - 3*u + 3095
What is the k'th term of -46, -59, -72, -85, -98?
-13*k - 33
What is the n'th term of 1080, 1093, 1104, 1113, 1120?
-n**2 + 16*n + 1065
What is the y'th term of -95, -179, -263?
-84*y - 11
What is the w'th term of 0, 3, 6?
3*w - 3
What is the c'th term of -71, -80, -89, -98, -107?
-9*c - 62
What is the t'th term of -210, -205, -198, -189, -178, -165?
t**2 + 2*t - 213
What is the c'th term of -2130, -4223, -6302, -8361, -10394, -12395, -14358, -16277?
c**3 + c**2 - 2103*c - 29
What is the y'th term of 659, 2650, 5967, 10610, 16579?
663*y**2 + 2*y - 6
What is the w'th term of -209, -409, -597, -773, -937, -1089?
6*w**2 - 218*w + 3
What is the p'th term of -69, -96, -111, -108, -81, -24, 69, 204?
p**3 - 34*p - 36
What is the c'th term of -116, -433, -960, -1697, -2644, -3801, -5168?
-105*c**2 - 2*c - 9
What is the g'th term of -8, -2, 4, 10, 16, 22?
6*g - 14
What is the n'th term of 21, 35, 39, 27, -7, -69, -165?
-n**3 + n**2 + 18*n + 3
What is the c'th term of 64, 135, 210, 289?
2*c**2 + 65*c - 3
What is the n'th term of 585, 584, 583, 582, 581, 580?
-n + 586
What is the v'th term of -19, -31, -77, -175, -343, -599, -961?
-3*v**3 + v**2 + 6*v - 23
What is the u'th term of -96, -193, -290?
-97*u + 1
What is the a'th term of -4, -52, -142, -280, -472?
-a**3 - 15*a**2 + 4*a + 8
What is the z'th term of 51, 116, 203, 324, 491, 716, 1011?
2*z**3 - z**2 + 54*z - 4
What is the v'th term of -37, -47, -63, -85, -113, -147?
-3*v**2 - v - 33
What is the x'th term of 40, 55, 74, 97, 124, 155, 190?
2*x**2 + 9*x + 29
What is the b'th term of 27, 32, 41, 54, 71, 92, 117?
2*b**2 - b + 26
What is the u'th term of -40, -115, -190, -265, -340?
-75*u + 35
What is the o'th term of 57, 64, 71, 78, 85, 92?
7*o + 50
What is the r'th term of -260, -192, -74, 100, 336, 640, 1018, 1476?
r**3 + 19*r**2 + 4*r - 284
What is the k'th term of -90, -183, -286, -405, -546, -715, -918?
-k**3 + k**2 - 89*k - 1
What is the b'th term of 78, 313, 704, 1251, 1954, 2813, 3828?
78*b**2 + b - 1
What is the w'th term of 153, 313, 477, 645, 817, 993?
2*w**2 + 154*w - 3
What is the q'th term of -13545, -13549, -13555, -13563, -13573, -13585, -13599?
-q**2 - q - 13543
What is the w'th term of 40, 186, 560, 1276, 2448?
19*w**3 + 13*w + 8
What is the s'th term of 2156, 4315, 6474, 8633, 10792?
2159*s - 3
What is the s'th term of -254, -515, -782, -1055, -1334, -1619, -1910?
-3*s**2 - 252*s + 1
What is the f'th term of -1171, -2332, -3469, -4570, -5623, -6616, -7537?
2*f**3 - 1175*f + 2
What is the l'th term of -154, -162, -184, -226, -294?
-l**3 - l**2 + 2*l - 154
What is the p'th term of 2492, 2494, 2496, 2498, 2500?
2*p + 2490
What is the m'th term of -9, -25, -43, -63, -85, -109, -135?
-m**2 - 13*m + 5
What is the h'th term of -13985, -27972, -41959, -55946, -69933?
-13987*h + 2
What is the g'th term of 4, 16, 30, 46, 64?
g**2 + 9*g - 6
What is the z'th term of 366, 733, 1100, 1467, 1834, 2201?
367*z - 1
What is the x'th term of -22, -20, -18, -16?
2*x - 24
What is the w'th term of 40, 87, 136, 187?
w**2 + 44*w - 5
What is the v'th term of 399, 381, 363, 345?
-18*v + 417
What is the o'th term of 221, 434, 635, 818, 977?
-o**3 + 220*o + 2
What is the z'th term of -8, -10, -12, -14, -16?
-2*z - 6
What is the g'th term of 94, 95, 98, 103, 110, 119, 130?
g**2 - 2*g + 95
What is the i'th term of 4460, 4458, 4456, 4454?
-2*i + 4462
What is the p'th term of 96, 106, 132, 180, 256, 366, 516, 712?
p**3 + 2*p**2 - 3*p + 96
What is the a'th term of 761, 763, 765?
2*a + 759
What is the a'th term of 4, 31, 90, 193, 352, 579, 886, 1285?
2*a**3 + 4*a**2 + a - 3
What is the f'th term of -660, -2639, -5934, -10545, -16472?
-658*f**2 - 5*f + 3
What is the s'th term of 5378, 10758, 16138, 21518, 26898?
5380*s - 2
What is the z'th term of -47, -53, -61, -71, -83, -97, -113?
-z**2 - 3*z - 43
What is the k'th term of -54, -225, -510, -909?
-57*k**2 + 3
What is the l'th term of -9, -39, -111, -243, -453, -759?
-3*l**3 - 3*l**2 - 3
What is the a'th term of 29, 18, 5, -10, -27, -46, -67?
-a**2 - 8*a + 38
What is the n'th term of -40, -147, -326, -577?
-36*n**2 + n - 5
What is the w'th term of -4, -42, -96, -166?
-8*w**2 - 14*w + 18
What is the b'th term of -37, -49, -61, -73, -85, -97?
-12*b - 25
What is the x'th term of 1, -9, -29, -65, -123, -209, -329, -489?
-x**3 + x**2 - 6*x + 7
What is the w'th term of 146, 585, 1320, 2351, 3678, 5301, 7220?
148*w**2 - 5*w + 3
What is the p'th term of -88, -115, -174, -277, -436, -663, -970, -1369?
-2*p**3 - 4*p**2 - p - 81
What is the q'th term of -25, -154, -369, -670, -1057, -1530, -2089?
-43*q**2 + 18
What is the d'th term of -4, 8, 42, 110, 224, 396, 638?
2*d**3 - d**2 + d - 6
What is the h'th term of -324, -636, -948, -1260, -1572?
-312*h - 12
What is the o'th term of -1838, -1839, -1840, -1841, -1842, -1843?
-o - 1837
What is the c'th term of -2546, -5093, -7638, -10181, -12722, -15261, -17798?
c**2 - 2550*c + 3
What is the v'th term of 599, 597, 595, 593, 591?
-2*v + 601
What is the c'th term of 83, 162, 241, 320, 399?
79*c + 4
What is the f'th term of 66, 107, 176, 273, 398?
14*f**2 - f + 53
What is the l'th term of -284, -554, -824, -1094, -1364, -1634?
-270*l - 14
What is the q'th term of 208, 415, 622, 829?
207*q + 1
What is the o'th term of 78, 156, 232, 306, 378, 448?
-o**2 + 81*o - 2
What is the l'th term of 95, 176, 245, 296, 323, 320?
-l**3 + 88*l + 8
What is the f'th term of -187, -117, -47, 23?
70*f - 257
What is the j'th term of -58199, -58197, -58193, -58187?
j**2 - j - 58199
What is the l'th term of 5, -1, -27, -85, -187, -345?
-2*l**3 + 2*l**2 + 2*l + 3
What is the c'th term of 9, 6, -11, -48, -111, -206, -339?
-c**3 - c**2 + 7*c + 4
What is the o'th term of -3777, -7553, -11329, -15105?
-3776*o - 1
What is the x'th term of 38, 67, 98, 131, 166?
x**2 + 26*x + 11
What is the j'th term of 30972, 61942, 92914, 123888?
j**2 + 30967*j + 4
What is the b'th term of -13005, -13006, -13007?
-b - 13004
What is the q'th term of 898, 890, 882, 874, 866?
-8*q + 906
What is the y'th term of -21, -67, -89, -81, -37, 49?
y**3 + 6*y**2 - 71*y + 43
What is the q'th term of -72, -138, -192, -228, -240?
q**3 - 73*q
What is the h'th term of -44, -101, -162, -227, -296, -369?
-2*h**2 - 51*h + 9
What is the z'th term of -913, -1827, -2741?
-914*z + 1
What is the s'th term of -30, -21, 12, 81, 198, 375?
2*s**3 - 5*s - 27
What is the g'th term of -957, -959, -961, -963, -965?
-2*g - 955
What is the h'th term of -7, -79, -223, -445, -751, -1147, -1639?
-h**3 - 30*h**2 + 25*h - 1
What is the v'th term of -175, -173, -169, -163, -155?
v**2 - v - 175
What is the w'th term of 145, 155, 175, 211, 269?
w**3 - w**2 + 6*w + 139
What is the o'th term of 149, 148, 147?
-o + 150
What is the c'th term of -670, -1337, -2004, -2671, -3338, -4005?
-667*c - 3
What is the g'th term of -340, -675, -1004, -1327?
3*g**2 - 344*g + 1
What is the v'th term of -17, -38, -65, -98, -137, -182, -233?
-3*v**2 - 12*v - 2
What is the w'th term of -26, -125, -224, -323, -422, -521?
-99*w + 73
What is the w'th term of -40, -50, -66, -88, -116, -150, -190?
-3*w**2 - w - 36
What is the q'th term of 42, 40, 38, 36?
-2*q + 44
What is the h'th term of -1169, -1167, -1161, -1151?
2*h**2 - 4*h - 1167
What is the c'th term of -56, -300, -708, -1280, -2016, -2916, -3980?
-82*c**2 + 2*c + 24
What is the n'th term of -161, -149, -133, -113, | {
"pile_set_name": "DM Mathematics"
} |
135 - y. Factor -a*j**2 + 2/9 - 8/9*j**3 + 8/9*j.
-2*(j - 1)*(j + 1)*(4*j + 1)/9
Let m(z) = -z**2 + 8*z - 4. Let k be m(7). Let w = 8 - 15/2. Factor w*j**2 + 0*j + 0 - 1/2*j**k.
-j**2*(j - 1)/2
Let n(d) = 2*d**2 + 4*d + 2. Let v(y) = -4*y**2 - 8*y - 4. Let a(b) = -5*n(b) - 3*v(b). Factor a(j).
2*(j + 1)**2
Let d = 49/39 - -1/13. Solve d*n + 0 + 49/3*n**3 - 28/3*n**2 = 0 for n.
0, 2/7
Suppose 0 = 5*y - 25 - 0. Solve 1/2*l**2 - 1/2*l**y + 1/2*l**3 + 0 - 1/2*l**4 + 0*l = 0 for l.
-1, 0, 1
Let t(n) be the third derivative of -1/4*n**4 + 2/3*n**3 + 0*n + 1/60*n**6 + 0*n**5 + 0 + 6*n**2. Solve t(c) = 0.
-2, 1
Let q(l) = 4*l + 2. Let s be q(-2). Let d be 2/s - 50/(-15). Factor -2*t**4 - t**2 + 0*t**3 + d*t**2 - 2*t**3 + 2*t**5.
2*t**2*(t - 1)**2*(t + 1)
Suppose 0 = -4*s + r + 13, s = -0*s - 3*r - 13. Let i = -1 - -3. Factor 0*u**s - 2*u**i + u**2 - u.
-u*(u + 1)
Let r(l) be the third derivative of l**10/15120 + l**9/2520 + l**8/1120 + l**7/1260 - l**5/30 + 4*l**2. Let q(s) be the third derivative of r(s). Factor q(y).
2*y*(y + 1)**2*(5*y + 2)
Let v(n) be the second derivative of n**7/98 + n**6/70 - 3*n**5/70 - n**4/14 + n**3/14 + 3*n**2/14 + 15*n. Let v(h) = 0. Calculate h.
-1, 1
Let g = 7 + -5. Solve -6*n**2 - n + 7*n**2 - g*n**2 = 0 for n.
-1, 0
Let b(x) be the second derivative of 3*x**5/100 - 3*x**3/10 - 3*x**2/5 + 14*x. Factor b(p).
3*(p - 2)*(p + 1)**2/5
Suppose 3*b = 4*z + 5, 5*z + 5*b = 33 - 13. Let f(x) = x**2 - 1. Let p(s) = 20*s**2 - 21*s + 1. Let k(m) = z*p(m) - 5*f(m). Suppose k(n) = 0. What is n?
2/5, 1
Let n(k) be the second derivative of k**7/42 - k**6/10 + k**5/10 + k**4/6 - k**3/2 + k**2/2 - 7*k. Find c such that n(c) = 0.
-1, 1
Let r(q) be the third derivative of 0*q + q**3 + 0 + 1/8*q**4 + 5*q**2 - 3/20*q**5. Let r(f) = 0. Calculate f.
-2/3, 1
Factor -2/9*t**3 + 0*t + 0 + 0*t**2.
-2*t**3/9
Let k(h) = h**3 + 2*h**2 + 3*h + 2. Suppose 0*o = -2*x - o + 1, -2*o + 10 = 0. Let u(y) = 3*y**3 + 5*y**2 + 7*y + 5. Let s(z) = x*u(z) + 5*k(z). Factor s(l).
-l*(l - 1)*(l + 1)
Let n(y) = 227*y**4 + 283*y**3 + 66*y**2 + 2*y. Let r(c) = -c**4 + c**3 - c**2 + c. Let l(i) = -n(i) - 2*r(i). Factor l(f).
-f*(f + 1)*(15*f + 2)**2
Factor -3/2*w**2 + w**4 - 3/2*w**3 + 0 + w.
w*(w - 2)*(w + 1)*(2*w - 1)/2
Let k = -383 - -257. Let b be (-2)/(-8) + k/(-264). Factor -2/11*x**3 - 16/11*x + b + 10/11*x**2.
-2*(x - 2)**2*(x - 1)/11
What is b in 0*b - 11*b**2 + 3*b + 8*b**2 = 0?
0, 1
Let h = -236/7 + 34. What is g in -2/7*g**2 + 4/7*g - h = 0?
1
Let x(q) = -q**2 + 3*q - 2. Let f(d) = -2*d**2 + 1. Let o be f(2). Let n(u) = 3*u**2 - 10*u + 7. Let k(j) = o*x(j) - 2*n(j). Factor k(c).
c*(c - 1)
Let s(l) be the third derivative of -1/36*l**4 + 1/9*l**3 + 1/180*l**6 + 0*l + 0 - 5*l**2 - 1/90*l**5. Let s(y) = 0. Calculate y.
-1, 1
Let r(d) be the first derivative of -d**6/12 + 3*d**4/8 + d**3/3 + 24. Factor r(q).
-q**2*(q - 2)*(q + 1)**2/2
Let p(q) be the third derivative of -q**7/420 + q**6/240 + q**5/60 - 2*q**2. Suppose p(v) = 0. What is v?
-1, 0, 2
Let u(n) be the third derivative of 0*n + 0 + 1/40*n**5 + 0*n**3 + 1/24*n**4 + 1/240*n**6 + 7*n**2. Factor u(x).
x*(x + 1)*(x + 2)/2
Let p(s) be the first derivative of -2/3*s**2 + 4 - s - 1/9*s**3. Factor p(i).
-(i + 1)*(i + 3)/3
Factor -1 - 1/4*q**2 + q.
-(q - 2)**2/4
Let z(w) be the third derivative of w**7/105 + w**6/20 - w**5/10 - 11*w**4/12 - 2*w**3 - 17*w**2. Factor z(j).
2*(j - 2)*(j + 1)**2*(j + 3)
Let c(t) be the second derivative of 0 + 1/12*t**4 + 1/21*t**3 + 4*t - 2/105*t**6 - 1/28*t**5 + 0*t**2. Factor c(v).
-v*(v - 1)*(v + 2)*(4*v + 1)/7
Let j be 6 + -3 + 9 + 406/(-35). Solve j*i**4 - 3/5*i**3 - 1/5 + 3/5*i - 1/5*i**2 = 0.
-1, 1/2, 1
Let i be (92/(-10))/(152/2185). Let s = i - -133. Factor -s*q**2 + 3/4 + 0*q.
-3*(q - 1)*(q + 1)/4
Let w(a) be the first derivative of a**3/15 + a**2/5 + a/5 + 20. What is d in w(d) = 0?
-1
Let j(m) be the third derivative of -9*m**8/56 + 3*m**7/7 - m**6/10 - 2*m**5/3 + 2*m**4/3 - 8*m**2. Suppose j(w) = 0. What is w?
-2/3, 0, 2/3, 1
Let w = -13 - -24. Let y = -7 + w. Find z such that -4*z**5 - 9*z**y - 15*z**2 + 7*z**5 + 12*z**2 + 9*z**3 = 0.
0, 1
Let c(h) be the second derivative of -h**5/20 - 3*h**4/4 - 4*h**3/3 + h**2 - h. Let a be c(-8). Suppose -2/9*l**a + 0 + 0*l + 2/9*l**3 = 0. What is l?
0, 1
Let n(q) be the second derivative of -1/3*q**2 - 1/36*q**4 + 5*q + 0 + 1/6*q**3. Factor n(c).
-(c - 2)*(c - 1)/3
Let w(n) be the third derivative of -n**8/1008 + n**6/180 - n**4/72 - n**2. Factor w(m).
-m*(m - 1)**2*(m + 1)**2/3
Let b(d) be the third derivative of -d**8/1176 + d**6/140 - d**5/105 - 4*d**2. Find o, given that b(o) = 0.
-2, 0, 1
Let h = 8 - 7. Let q(f) = -7*f**2 - 9*f - 8. Let k(o) = -o**2 - o - 1. Let g(w) = h*q(w) - 6*k(w). Suppose g(d) = 0. What is d?
-2, -1
What is o in 1/8*o + 0 + 1/8*o**2 = 0?
-1, 0
Suppose 0 = 4*y - 2 - 2. Let o be 2 - (y + -1)*-1. Factor w - w - 2*w**o.
-2*w**2
Let c(w) be the second derivative of 8/15*w**3 + 7/50*w**5 + 1/50*w**6 + 2/5*w**2 - 7*w + 23/60*w**4 + 0. Factor c(g).
(g + 1)**2*(g + 2)*(3*g + 2)/5
Let p = 2645 + -555449/210. Let y(w) be the third derivative of 0 - 3*w**2 + 0*w + 1/6*w**4 - p*w**7 - 1/24*w**6 - 1/10*w**5 + 4/3*w**3. Factor y(d).
-(d - 1)*(d + 2)**3
Let p(a) = 6*a - 7. Let g(l) = 5*l - 6. Let s(r) = 5*g(r) - 4*p(r). Let j be s(4). What is i in -2*i**3 + 0 + j*i**2 - 1 + 2*i - 1 = 0?
-1, 1
Let q = -1615/7 + 231. Determine l, given that q*l + l**2 + 5/7*l**4 + 9/7*l**3 + 0 + 1/7*l**5 = 0.
-2, -1, 0
Let s(f) be the third derivative of -f**8/336 - 2*f**7/105 - f**6/30 + f**5/30 + 5*f**4/24 + f**3/3 - 10*f**2. Factor s(o).
-(o - 1)*(o + 1)**3*(o + 2)
Let a(b) be the first derivative of -5*b**6/12 - 17*b**5/10 - 21*b**4/8 - 11*b**3/6 - b**2/2 + 4. Find i such that a(i) = 0.
-1, -2/5, 0
Let f = 4 + -3. Let t be (-1 + f - -2)*1. Determine x so that -2*x**2 + 4*x**2 - 2*x**3 - 4*x**t = 0.
-1, 0
Let d(v) be the first derivative of v**7/420 + v**6/45 + v**5/12 + v**4/6 - v**3 + 1. Let i(o) be the third derivative of d(o). Let i(q) = 0. What is q?
-2, -1
Suppose 3*m - 3*u = 42, 2*u + 2 + 56 = 4*m. Factor -36*l**4 + 14*l**3 + 17*l**3 + m*l**5 - 6*l**2 - 4*l**3.
3*l**2*(l - 1)**2*(5*l - 2)
Factor -244*n**3 - 78*n**2 - 42*n + 188*n**3 - 16*n**4 - 9 + 5*n**2.
-(n + 1)**2*(4*n + 3)**2
Determine d, given that 224/3*d + 2/3*d**4 + 128/3 + 26/3*d**3 + 40*d**2 = 0.
-4, -1
Let t(x) be the first derivative of x**6/180 - x**5/20 + x**4/6 + 4*x**3/3 + 4. Let l(v) be the third derivative of t(v). Suppose l(w) = 0. What is w?
1, 2
Let c(v) be the second derivative of -1/5*v**5 + 1/3*v**3 + 0*v**2 - 1/6*v**4 - v + 0. Factor c(j).
-2*j*(j + 1)*(2*j - 1)
Let s(a) be the first derivative of 3 + 0*a - 2/21*a**3 + 0*a**2. Factor s(w).
-2*w**2/7
Suppose 5*k = -c - 2*c + 14, 15 = 3*k + 4*c. Let y be (k/(-6))/(2/(-16)). Let -4/3*o + 1/3 + 1/3*o**4 - y*o**3 + 2*o**2 = 0. What is o?
1
Let r(b) be the first derivative of b**5/5 - b**4/2 + 10. Factor r(x).
x**3*(x - 2)
Let b(n) be the second derivative of -2*n**7/21 + 2*n**6/5 - 2*n**5/5 - 5*n. Factor b(f).
-4*f**3*(f - 2)*(f - 1)
Factor p**2 - 1/4*p**3 + 0 - p.
-p*(p - 2)**2/4
Let p(q) be the first derivative of 5*q**3/18 - 19. Factor p(z).
5*z**2/6
Let a(n) = n**5 - n**4 + 1. Let y(r) = 10*r**5 - 7*r**4 - r**3 - 2*r**2 + 9. Let w(d) = -18*a(d) + 2*y(d). Solve w(u) = 0.
-2, -1, 0, 1
Solve -2/5*l**2 - 12/5*l - 18/5 = 0.
-3
Suppose -5*c + 15 = -5*r, 3*c - 12 = -2*r + 7. Let m = 13 - 10. Determine u, given that u**2 + 3*u**r - u + u**3 - m*u**2 - u**4 = 0.
-1, 0, 1
Let z(u) be the third derivative of u**8/56 - u**7/15 - u**6/6 + 14*u**5/15 - 2*u**4/3 - 2*u**2 - 11. Solve z(n) = 0.
-2, 0, 1/3, 2
Determine u so that -10*u**2 + 8*u - 2*u**3 + 0*u**4 + 2*u**2 + 2*u**4 = 0.
-2, 0, 1, 2
Let j be (-1 - -4 - -1) + -2. Suppose 4*l + j = -3*a - 5, -3*l = 4*a + 14. Solve 3*t**3 + 2*t**5 - 2*t**4 - 3*t**3 + 2*t**2 - l*t**3 = 0.
-1, 0, 1
Let n(o) be the first derivative of -5*o**4/6 + 4*o**3/9 + 5*o**2/3 - 4*o/3 + 11. Factor n(h).
-2*(h - 1)*(h + 1)*(5*h - 2)/3
Let a(n) = n**2 + 3*n + 6. Let h be a(-5). Let o be (8/h)/(2/16). Find c such that 1/2*c**5 - 1/2 + c**2 - c**3 + 1/2*c - 1/2*c**o = 0.
-1, 1
Let l(u) be the third derivative of -1/36*u**6 + 0*u + 1/90*u**5 + 5/36*u**4 + 2*u**2 + 0 - 1/9*u**3. Solve l(i) = | {
"pile_set_name": "DM Mathematics"
} |
1127*t**2 + 4 - 6049143*t)*(-2*t - t + t).
2254*t**3 + 6*t**2
Expand -u**2 + u**2 - 2*u**2 + (-1446 + 2922 - 3*u - 1433)*(3 - 4*u - 3).
10*u**2 - 172*u
Expand -3445*v - 5253*v + 709 - 357 - 352 + (2*v - v - 3*v)*(-4 - 1 + 4) - 3*v - 2*v + 6*v.
-8695*v
Expand -2936*k**5 - 7824*k**5 - 7337*k**5 + (-5*k**4 + 3*k**4 + 3*k**4)*(1 + k - 1).
-18096*k**5
Expand (-14*u**4 - 27*u**4 + 0*u**4)*(59*u - 65*u - 84*u).
3690*u**5
Expand (5 - 4 - 8)*(0*r + 2*r + 0*r) + (-r + 1 - 1)*(1 + 4 + 4) + (5*r - 4*r - 3*r)*(0 - 1 + 2).
-25*r
Expand ((4 - 6 + 0)*(-3 + 3 - b) + b + 2 - 2 + 3 - 3 + 3*b)*(1 - 4 + 1)*(2 - 16 + 2)*(-4 - 1 + 3).
-288*b
Expand f + 9 - 3 - 2 + (32 + 154 - 1019)*(-1 - 1 + 1)*(0 + f + 0).
834*f + 4
Expand (0*s - 15*s + 9*s)*(0*s**3 - 6*s**3 + 4*s**3) + (-2 + 2 + 2*s**2)*(2*s**2 + 11 - 11).
16*s**4
Expand -2*r**3 + 2*r**3 + 2*r**3 + r**2 - r**2 - 2*r**3 + (-452*r**2 + 5150*r - 5150*r)*(-4*r + 3*r - 2*r).
1356*r**3
Expand (4*q**4 - 2*q**2 - 5*q**4 + 2 + 0*q**4 + (q**3 + 1 - 1)*(0*q + q - 3*q) - q**4 - 5*q**4 + 4*q**4)*((-15*q + 11*q - 13*q)*(4 + 0 - 3) + 30 + 41*q - 30).
-120*q**5 - 48*q**3 + 48*q
Expand (17 + 44 - 12)*(1 - s - 1 - 3*s - 1 - 1).
-196*s - 98
Expand (-c**2 + 2*c - c**2 + 9*c)*(-c**3 - c**3 - 2*c**3 + (2 + 2*c**2 - 2)*(2*c - 5*c - 5*c)).
40*c**5 - 220*c**4
Expand -1 + 1 + 3*s**2 + (-3*s + 2*s + 3*s)*(505*s - 854944 + 854944 + 1 - s - 1 + (-2*s + s + 3*s)*(-1 - 1 + 3)).
1015*s**2
Expand (3 - 1 + 3)*(0 - 6 + 0)*(-3 + 74*d - 113*d + 82*d).
-1290*d + 90
Expand (5*h - 287 + 287)*(0*h**2 - 3*h**2 + 0*h**2) - 4 + 0*h**2 - h**2 - h**3 + 2.
-16*h**3 - h**2 - 2
Expand (-2 + 2 + 1)*(13*q + q**2 - 13*q) - 8*q + 8*q + 3*q**2 - 735 - 48*q**2 + 735.
-44*q**2
Expand ((3 + 1 - 2)*(-1 + 0 - 1) + (0 + 3 + 0)*(-2 - 1 + 5))*(20 - 8*c + 74 - 95).
-16*c - 2
Expand 2*x + 2*x + 2*x + (-1 + 3 - 4)*(0*x - x + 3*x) - 13*x - 48*x + x.
-58*x
Expand 12346*g - 24670*g - 23*g**4 + 12350*g + (-4 + 5*g + 4)*(2*g**2 + g**2 - 2*g**2)*(-5*g + 3*g + 0*g).
-33*g**4 + 26*g
Expand (-2*c + c + 3*c)*(-3*c + c - 2*c)*(-523 + 523 - 121*c).
968*c**3
Expand (-13*d**3 + 1113*d**2 - 1113*d**2)*(-3 - 1 - 3 + 3 - 5 + 0 + (0 + 0 - 2)*(-1 + 0 - 1) - 1 - 4 + 3) + (0*d**2 - 2*d**2 + d**2)*(4*d + d - 3*d).
89*d**3
Expand (324 + 23*t - 324)*((1 - 1 + 4)*(1 + 0 - 2)*(-1 + 2 - 4) + (1 - 4 + 1)*(2 - 3 - 1) - 5 + 3 + 0).
322*t
Expand 13*y - 18*y - 13*y + (-3 + 3 - 3)*(-y + 0*y + 3*y) + (0*y - y - y)*(0 + 0 - 2) - 4 + 4 - 2*y + (2 - 4 + 0)*(-1 + 1 + y) - 2*y + 4*y + 0*y.
-22*y
Expand (-1 - c**2 - 4*c**2 + 7*c**2)*(2 - 2 - 2*c**3 + 27 - 6*c**3 - 27 + (1 - 1 + 2*c)*(3*c**2 - 2*c**2 - 3*c**2)).
-24*c**5 + 12*c**3
Expand (15*c + 99 - 99)*(c**3 - c**3 + c**3) + 8*c**4 + 6787*c - 6787*c + 4*c + 2*c**4 - 4*c.
25*c**4
Expand (-3120*r + 12 - 23 - 4039*r - 1397*r + 13)*(2*r**4 - 2 + 2).
-17112*r**5 + 4*r**4
Expand 215*w - 22*w**3 - 215*w + (49 - 15*w**2 - 49)*(-w - 2*w + 2*w) + 0 - 7*w**3 + 0 - w**3 + w - w.
-15*w**3
Expand 46253*y - 94846*y + 46434*y - 2*y + y + 0*y + (2 + 3 - 6)*(2 - 2 + y) + 0*y + 0*y - y.
-2162*y
Expand (-4*u**2 - 4*u**2 + 6*u**2)*(0*u + 0*u + 2*u**2) + (u - 3*u + 3*u)*(0*u**3 + 3*u**3 - 4*u**3) - 2*u**4 + 5*u**4 + 3*u**4.
u**4
Expand -4018*u**2 - 2000960*u + 2000960*u + (-1 - u + 1)*(-4*u - 2*u + 4*u) - 2 + 2*u**2 + 2 + 5*u**2 - 2*u**2 - 4*u**2 + 2*u**2 - 4*u**2 + 0*u**2.
-4017*u**2
Expand -2*f**2 + 0 + 0 + (-2 - 4*f**2 + 2)*(3 - 3 + 1) - 7*f + 7*f + 10*f**2 + (53 - 112*f**2 - 53)*(0 + 1 + 1).
-220*f**2
Expand (43*y + 176*y**3 - 43*y + 16*y**3)*(-228 + 512 - 101).
35136*y**3
Expand (248*w**3 - 2844*w + 2844*w)*(24*w**2 - 310*w + 310*w).
5952*w**5
Expand -12*i - 2 + 2 + (-2*i + i - 2*i)*(-4 + 0 + 2) + 0*i + 3*i - i - 10*i + 10*i + 39*i.
35*i
Expand (-3 - 2 + 4)*(6*c + 0*c - 3*c)*(-28*c**2 - 11*c**2 + 23*c**2).
48*c**3
Expand (-3*q - 3 + 3)*(-3951*q - 3896*q + 7971*q).
-372*q**2
Expand (-144 + 336 - 160 - z)*(-9*z + 14*z - 6*z).
z**2 - 32*z
Expand (4*k**2 - k**2 - 5*k**2)*(921 - 1008 + 3930).
-7686*k**2
Expand -4*m**4 - 3*m**4 + 5*m**4 + (-m**2 + 0*m**2 + 2*m**2)*(-431*m**2 + 387*m**2 + 1558*m**2).
1512*m**4
Expand -2*s**5 - 2*s**3 + 2*s**3 + (s**4 + 0*s**4 - 2*s**4)*(2*s - s + 0*s) + 17 - 2*s**5 - 17 - 30393*s**4 - 49*s**5 + 30393*s**4.
-54*s**5
Expand (160 - 312 - 146 - r)*(2*r**3 - r**2 + r**2)*(8*r + 6*r + 2*r).
-32*r**5 - 9536*r**4
Expand (-2 - 4 + 3)*(28 + 23 + 18)*(2*p + 3 - 3).
-414*p
Expand (-1 - 3 + 2)*(-100*b + 177*b - 93*b)*(-1 + 0 + 2).
32*b
Expand 0*b**2 - 12*b + 8*b + 5*b**2 + b + 3*b**2 - b + (0*b - b - 2*b)*(3*b + b - 3*b) - 7*b**2 + 7*b**2 - 9*b**2.
-4*b**2 - 4*b
Expand (0 - 4*f**2 + 0)*(-69*f**2 - f**2 + 16*f**2) + 2*f**4 - 2*f**4 - f**4 + 3*f**4 - 21*f**3 + 21*f**3.
218*f**4
Expand (-896 + 2080 - 1058)*(-17*c**4 - 21*c**4 + 18*c**4).
-2520*c**4
Expand (4*r + 10 - 10)*(-6322 - 8632 - 2149 + 9800) - r + 0*r - r.
-29214*r
Expand (-2 + 4 + 4)*(-2*o**2 + 2*o**2 + 2*o**3) + 316*o**3 - 5*o**2 - 340*o**3 + o**2 + 0*o**3 - 4*o**3 + 5*o**3 + (1 - 1 - o)*(-o**2 - 5*o + 5*o).
-10*o**3 - 4*o**2
Expand (-5 + 3*d**2 + 5)*(-4*d - 294*d**3 + 155*d**3 + 150*d**3).
33*d**5 - 12*d**3
Expand (w - 3 + 3)*(-3 - 1 + 5) - 3 + 4*w + 3 + (-2*w - 2 + 2)*(59 - 128 - 341).
825*w
Expand (-l**3 + l**3 - l**3)*(-284*l**2 - 12797*l + 12797*l) - 3 + 2*l**5 + 3 + (l - l + l**5)*(0 + 6 - 3).
289*l**5
Expand (6 - 6 - 5*g)*(-5*g + g + 6*g + (5 - 2 - 2)*(4*g - g - g) - g + 6 - 6) + (4*g**2 + g**2 - 3*g**2)*(1 - 2 + 19).
21*g**2
Expand (-2*z + 0*z + 3*z + (2 - 2*z - 2)*(2 - 5 + 1) - 3*z - z + 2*z - 49*z - 10 + 10)*(174 - 255 + 139)*(2*z - 3*z - z).
5336*z**2
Expand (3*w + 0*w - w)*((-2*w - w + 2*w)*(-6*w + 16*w + 14*w) + 6*w - 3*w**2 - 6*w) - 3 + 2*w**3 + 3 + (-4*w**2 + w**2 + 0*w**2)*(-w - 2*w + w).
-46*w**3
Expand (3*n**4 + 3*n**4 - 5*n**4)*(-n + 19 - 19) - 4*n**5 - 4*n**5 + 5*n**5.
-4*n**5
Expand (-f**4 - 4*f**4 + 4*f**4)*(9*f - 388 + 769 - 382 - 2*f - 2 + 2 + (-2*f + 2*f + 2*f)*(-2 + 2 - 3)).
-f**5 + f**4
Expand (-2 + 2 - 1)*(-20 + 0*f + 4*f - 5*f) + (-6 + 16 + 3)*(0*f - 4*f + 3*f).
-12*f + 20
Expand (-5*d - 18*d + 11*d + 3)*(2078 - 86*d - 2078).
1032*d**2 - 258*d
Expand (-n**5 + 2*n**5 - 3*n**5)*(11563 + 16754 - 1614 - 79438 - 53874 - 34852).
282922*n**5
Expand (-2*u**3 + 10*u**3 + 15*u**3)*(u + u - 3*u) - 8*u**4 - 3 - 765*u**2 + 765*u**2 + 0*u**4 - 2*u**4 - 3*u**4.
-36*u**4 - 3
Expand (2*v - 5*v - 3*v)*(-4 + 4 - 5)*(8*v - 5*v - 4*v) + (0*v + 0*v - v**2)*(-8 + 8 + 6).
-36*v**2
Expand (16 + 9 + 54*c - 55*c)*(-340147 + 340147 + 17*c**2 - 12*c).
-17*c**3 + 437*c**2 - 300*c
Expand -46*z**3 - 72*z**3 + 31*z**3 + 0*z**3 - z**3 - 2*z**3 + 2*z**3 + 2*z**3 - 3*z**3 + (-3*z**2 + z**2 + 4*z**2)*(0*z + z + z).
-85*z**3
Expand -3*m**3 + 2*m**3 + m**4 - m**3 + (-2*m - 1 - 1 + 3*m)*(0*m**2 - 4*m**2 - 2*m**2)*(4*m + 15 - 15).
-23*m**4 + 46*m**3
Expand (-24*j - 30*j + 65*j + 1)*(-31*j**2 + 5*j**2 - 46 + 44 + (-2*j + 5*j - 4*j)*(0*j + 0*j + j)).
-297*j**3 - 27*j**2 - 22*j - 2
Expand -b**2 + 31*b**5 + 82*b**4 - 70*b**5 + 37*b**5 + (b - b + b**4)*(-2*b - 2 + 2).
-4*b**5 + 82*b**4 - b**2
Expand (4*v - 2*v - 3*v)*(0*v - 2*v + v)*(10741*v**2 + 9830*v**2 - 12520*v**2) + 4*v**4 - 2*v**4 - 3*v**4 + (4 - 2*v - 4)*(2*v - 2*v + 2*v**3).
8046*v**4
Expand (-l + l - l)*(-8078*l**3 + 1651091 - 1651091).
8078*l**4
Expand (3 + 2 - 1)*(-f**4 + 0*f**4 + 0*f**4) + (2*f**3 - 2*f**3 + 2*f**3 + 2*f)*(1 - 5 + 1)*(-3*f + 12*f + 6*f).
-94*f**4 - 90*f**2
Expand (12 - 12 + 5*y**5)*(-214 - 1515 - 969 - 1104).
-19010*y**5
Expand (4*m - 4*m - m**2)*(0*m**2 + 0*m**2 - m**2) + (917*m - 917*m - 90*m**3)*(-3 - m + 3).
91*m**4
Expand (-12 + 12 - 6*r**3)*(16268*r - 16268*r - 149*r**2).
894*r**5
Expand (-13 + 11 - 6)*(123 - 80 + 20)*(-2*b**2 - b**3 + 2*b**2).
504*b**3
Expand (562 + 28*x**2 - 562)*(578 + 8*x - 578)*(-5*x + 2*x - 2*x).
-1120*x**4
Expand (4 - 1 - 2)*(-2 - 5 - 8)*(-x + 3*x - 3*x)*(-162*x - 81*x + 73*x).
-2550*x**2
Expand -3*h**2 + 3*h**2 + 2*h**5 + (2 - 2 + 2*h**2)*(-2*h**3 + 0*h**3 + 0*h**3) - 4*h**5 + h**5 + h**5 + 2252*h + 2*h**5 + 365*h + 498*h - h**2.
-2*h**5 - h**2 + 3115*h
Expand (-128*o**2 + 49832 + 49813 - 99628)*(-2*o**2 - 2*o**2 + 5*o**2).
-128*o**4 + 17*o**2
Expand ((2 - 1 + 1)*(13*w - 2*w - 2*w) + 0*w - 3*w + w)*(26*w + 20*w - 36*w).
160*w**2
Expand (-3*w**2 - w**2 + 0*w**2)*(-2828 + 1111 + 1088)*(-4 + 3 + 0)*(0 + 2 - 1).
-2516 | {
"pile_set_name": "DM Mathematics"
} |
?
False
Does 36 divide 1908?
True
Is 49 a factor of 1127?
True
Is 124 a factor of 9554?
False
Is 99 a factor of 1901?
False
Is 53 a factor of 8328?
False
Is 621 a multiple of 9?
True
Is 40 a factor of 77599?
False
Is 15 a factor of 18105?
True
Is 4 a factor of 49?
False
Is 9975 a multiple of 52?
False
Does 5 divide 450?
True
Is 450 a multiple of 20?
False
Does 249 divide 38489?
False
Does 6 divide 905?
False
Does 173 divide 2768?
True
Is 7650 a multiple of 85?
True
Does 27 divide 783?
True
Does 94 divide 8636?
False
Is 7298 a multiple of 33?
False
Does 18 divide 6189?
False
Is 20400 a multiple of 240?
True
Is 352 a multiple of 11?
True
Is 19 a factor of 2755?
True
Is 12 a factor of 743?
False
Is 45011 a multiple of 223?
False
Is 17 a factor of 73?
False
Does 18 divide 3150?
True
Is 31 a factor of 2759?
True
Is 29 a factor of 30740?
True
Does 12 divide 1155?
False
Is 20 a factor of 1989?
False
Is 47076 a multiple of 69?
False
Is 1056 a multiple of 22?
True
Is 470 a multiple of 2?
True
Is 3410 a multiple of 102?
False
Is 1218 a multiple of 29?
True
Is 1123 a multiple of 20?
False
Is 2632 a multiple of 9?
False
Is 13 a factor of 832?
True
Does 161 divide 9703?
False
Does 18 divide 19704?
False
Is 2226 a multiple of 58?
False
Is 15 a factor of 343?
False
Does 113 divide 5085?
True
Is 1628 a multiple of 94?
False
Is 572 a multiple of 17?
False
Is 14 a factor of 92988?
True
Is 27 a factor of 172?
False
Is 15 a factor of 1798?
False
Is 54 a factor of 71?
False
Does 14 divide 504?
True
Does 29 divide 3507?
False
Does 9 divide 5562?
True
Is 724 a multiple of 12?
False
Does 18 divide 11214?
True
Is 4532 a multiple of 11?
True
Does 72 divide 1728?
True
Does 10 divide 550?
True
Does 75 divide 1200?
True
Is 84 a factor of 1008?
True
Is 10673 a multiple of 13?
True
Is 43 a factor of 169?
False
Does 8 divide 13896?
True
Is 22 a factor of 926?
False
Does 26 divide 24650?
False
Is 448 a multiple of 112?
True
Is 907 a multiple of 7?
False
Is 107 a factor of 7155?
False
Is 3104 a multiple of 10?
False
Is 551 a multiple of 6?
False
Is 6 a factor of 139?
False
Is 639 a multiple of 7?
False
Does 17 divide 1731?
False
Does 315 divide 45360?
True
Is 8700 a multiple of 30?
True
Does 4 divide 2664?
True
Is 14 a factor of 14913?
False
Is 90 a factor of 11365?
False
Does 5 divide 7314?
False
Is 630 a multiple of 118?
False
Is 150 a factor of 19098?
False
Is 1494 a multiple of 12?
False
Is 32175 a multiple of 33?
True
Does 2 divide 1053?
False
Does 9 divide 114?
False
Is 927 a multiple of 9?
True
Does 28 divide 336?
True
Is 95 a factor of 1425?
True
Is 83 a factor of 100513?
True
Is 27 a factor of 513?
True
Is 25 a factor of 200?
True
Does 3 divide 53?
False
Does 65 divide 8932?
False
Is 2175 a multiple of 27?
False
Is 6 a multiple of 6?
True
Is 15 a factor of 23835?
True
Is 24426 a multiple of 138?
True
Is 6 a factor of 144?
True
Is 100 a multiple of 26?
False
Does 160 divide 41760?
True
Is 76 a factor of 9652?
True
Does 19 divide 3677?
False
Is 1576 a multiple of 8?
True
Is 119 a factor of 8361?
False
Does 14 divide 2336?
False
Does 8 divide 2455?
False
Is 163 a factor of 978?
True
Is 340 a multiple of 10?
True
Does 9 divide 775?
False
Is 22 a factor of 16192?
True
Is 45 a factor of 2602?
False
Does 15 divide 5317?
False
Is 10 a factor of 30220?
True
Is 3537 a multiple of 131?
True
Does 53 divide 265?
True
Does 21 divide 1722?
True
Is 5940 a multiple of 55?
True
Does 56 divide 137?
False
Is 95 a factor of 1995?
True
Is 61557 a multiple of 71?
True
Is 115 a factor of 3082?
False
Is 80 a factor of 26276?
False
Is 6392 a multiple of 94?
True
Is 21 a factor of 1722?
True
Does 48 divide 768?
True
Is 77 a factor of 10542?
False
Is 35 a factor of 455?
True
Does 4 divide 628?
True
Is 24102 a multiple of 103?
True
Does 21 divide 420?
True
Does 200 divide 4451?
False
Is 16 a factor of 256?
True
Does 99 divide 1188?
True
Is 93 a factor of 4185?
True
Does 52 divide 10088?
True
Is 2088 a multiple of 58?
True
Is 532 a multiple of 72?
False
Does 17 divide 1545?
False
Is 96 a factor of 10368?
True
Is 21 a factor of 139219?
False
Is 850 a multiple of 10?
True
Is 10 a factor of 30?
True
Is 15 a factor of 1807?
False
Is 5 a factor of 166?
False
Is 845 a multiple of 12?
False
Does 58 divide 290?
True
Is 738 a multiple of 20?
False
Is 11 a factor of 51?
False
Is 834 a multiple of 31?
False
Is 36 a factor of 3024?
True
Is 4704 a multiple of 112?
True
Does 20 divide 6460?
True
Is 15 a factor of 4305?
True
Is 209 a multiple of 25?
False
Does 24 divide 96?
True
Is 36359 a multiple of 16?
False
Does 2 divide 324?
True
Does 15 divide 1020?
True
Does 71 divide 497?
True
Does 9 divide 848?
False
Is 1264 a multiple of 20?
False
Is 2144 a multiple of 21?
False
Is 70 a factor of 12307?
False
Is 42 a factor of 1182?
False
Does 13 divide 17537?
True
Is 77366 a multiple of 157?
False
Does 14 divide 490?
True
Is 63 a factor of 2142?
True
Does 4 divide 4448?
True
Is 27 a factor of 14499?
True
Does 10 divide 131?
False
Is 9 a factor of 11565?
True
Is 35592 a multiple of 16?
False
Is 15 a factor of 26490?
True
Is 2103 a multiple of 13?
False
Does 52 divide 2831?
False
Is 31 a factor of 2077?
True
Is 95 a factor of 6745?
True
Is 7 a factor of 171?
False
Does 64 divide 4460?
False
Does 18 divide 5166?
True
Is 15594 a multiple of 69?
True
Does 13 divide 61?
False
Is 26215 a multiple of 245?
True
Is 36 a factor of 36?
True
Does 12 divide 1656?
True
Is 51092 a multiple of 16?
False
Is 151 a factor of 14796?
False
Is 7 a factor of 77?
True
Is 1125 a multiple of 25?
True
Is 7 a factor of 10010?
True
Is 3072 a multiple of 33?
False
Does 71 divide 2272?
True
Is 10 a factor of 5474?
False
Does 10 divide 791?
False
Is 967 a multiple of 34?
False
Is 11330 a multiple of 11?
True
Does 73 divide 4526?
True
Is 119 a multiple of 70?
False
Does 26 divide 742?
False
Is 777 a multiple of 21?
True
Is 20629 a multiple of 48?
False
Is 870 a multiple of 30?
True
Does 13 divide 3495?
False
Is 45 a factor of 225?
True
Is 28 a factor of 308?
True
Does 6 divide 569?
False
Is 20 a factor of 4160?
True
Is 65 a factor of 3904?
False
Is 1734 a multiple of 51?
True
Does 49 divide 2705?
False
Does 55 divide 5060?
True
Does 11 divide 763?
False
Is 7 a factor of 15?
False
Does 10 divide 16190?
True
Is 357 a multiple of 11?
False
Is 25 a factor of 600?
True
Does 12 divide 330?
False
Is 28368 a multiple of 18?
True
Is 244 a multiple of 35?
False
Is 22 a factor of 967?
False
Is 190 a factor of 50540?
True
Does 76 divide 16188?
True
Is 7 a factor of 89?
False
Is 14 a factor of 910?
True
Is 10 a factor of 3500?
True
Is 10 a factor of 2138?
False
Is 225 a multiple of 45?
True
Is 10890 a multiple of 121?
True
Is 56 a factor of 2016?
True
Is 3500 a multiple of 10?
True
Is 3024 a multiple of 126?
True
Is 299 a factor of 48438?
True
Is 853 a multiple of 3?
False
Does 162 divide 60716?
False
Does 12 divide 1089?
False
Is 6224 a multiple of 189?
False
Is 16 a factor of 11354?
False
Does 12 divide 113?
False
Is 4 a factor of 86?
False
Is 33 a factor of 4620?
True
Does 14 divide 1916?
False
Is 13 a factor of 1008?
False
Is 1763 a multiple of 164?
False
Is 21030 a multiple of 15?
True
Does 18 divide 69940?
False
Does 16 divide 45744?
True
Is 3185 a multiple of 65?
True
Does 74 divide 3382?
False
Is 35578 a multiple of 11?
False
Is 75 a factor of 33450?
True
Does 6 divide 25389?
False
Does 8 divide 4952?
True
Does 3 divide 527?
False
Does 139 divide 131911?
True
Is 3 a factor of 5387?
False
Is 1848 a multiple of 28?
True
Does 50 divide 1400?
True
Is 4842 a multiple of 52?
False
Does 12 divide 9471?
False
Is 54 a factor of 11788?
False
Is 22178 a multiple of 6?
False
Is 193 a factor of 119660?
True
Is 38306 a multiple of 289?
False
Is 6021 a multiple of 9?
True
Does 2 divide 2487?
False
Is 2560 a multiple of 10?
True
Is 220 a multiple of 2?
True
Does 74 divide 6395?
False
Is 66 a factor of 7722?
True
Is 12528 a multiple of 54?
True
Is 187 a multiple of 13?
False
Is 62 a factor of 284?
False
Is 15394 a multiple of 9?
False
Is 1241 a multiple of 15?
False
Is 34068 a multiple of 68?
True
Is 10 a multiple of 2?
True
Is 5600 a multiple of 25?
True
Is 589 a multiple of 31?
True
Is 138 a factor of 3864?
True
Is 658 a multiple of 13?
False
Is 39 a factor of 505?
| {
"pile_set_name": "DM Mathematics"
} |
128, 14164, 20304, 27542?
-p**3 + 567*p**2 - 6*p + 144
What is the w'th term of 1831, 1821, 1807, 1789?
-2*w**2 - 4*w + 1837
What is the l'th term of -1765, -3525, -5279, -7027, -8769, -10505?
3*l**2 - 1769*l + 1
What is the a'th term of -4809, -4832, -4827, -4782, -4685?
2*a**3 + 2*a**2 - 43*a - 4770
What is the d'th term of -9, -749, -2939, -7305, -14573?
-121*d**3 + d**2 + 104*d + 7
What is the z'th term of 186679, 373363, 560049, 746737, 933427, 1120119?
z**2 + 186681*z - 3
What is the y'th term of -2230, -3973, -5716?
-1743*y - 487
What is the g'th term of -8713, -8715, -8717?
-2*g - 8711
What is the f'th term of 76, 134, 180, 214, 236, 246?
-6*f**2 + 76*f + 6
What is the f'th term of -5365, -10469, -15555, -20617, -25649?
f**3 + 3*f**2 - 5120*f - 249
What is the j'th term of 10140, 10145, 10162, 10197, 10256, 10345?
j**3 - 2*j + 10141
What is the v'th term of -15485, -30968, -46451, -61934, -77417?
-15483*v - 2
What is the l'th term of -43232, -43224, -43216?
8*l - 43240
What is the f'th term of -74, -151, -246, -365, -514, -699, -926?
-f**3 - 3*f**2 - 61*f - 9
What is the r'th term of 1195689, 2391378, 3587067, 4782756, 5978445, 7174134?
1195689*r
What is the u'th term of -73926, -147852, -221778, -295704?
-73926*u
What is the p'th term of 7848, 31462, 70796, 125832, 196552, 282938, 384972, 502636?
-3*p**3 + 7878*p**2 + p - 28
What is the v'th term of -11357, -11360, -11367, -11378, -11393?
-2*v**2 + 3*v - 11358
What is the q'th term of 1029, 1790, 2549, 3306?
-q**2 + 764*q + 266
What is the z'th term of 23369, 46744, 70133, 93542, 116977?
z**3 + z**2 + 23365*z + 2
What is the i'th term of -1765, -3531, -5315, -7117, -8937, -10775, -12631?
-9*i**2 - 1739*i - 17
What is the u'th term of 262, 659, 1340, 2317, 3602?
2*u**3 + 130*u**2 - 7*u + 137
What is the x'th term of -1916, -1922, -1946, -1994, -2072, -2186, -2342?
-x**3 - 3*x**2 + 10*x - 1922
What is the y'th term of -111, -400, -885, -1566, -2443, -3516, -4785?
-98*y**2 + 5*y - 18
What is the o'th term of 47, 43, 27, -1, -41?
-6*o**2 + 14*o + 39
What is the c'th term of -11873, -11875, -11877, -11879, -11881, -11883?
-2*c - 11871
What is the k'th term of 3543, 2977, 2033, 711, -989, -3067, -5523?
-189*k**2 + k + 3731
What is the r'th term of -476, -461, -430, -377, -296?
r**3 + 2*r**2 + 2*r - 481
What is the n'th term of 101061, 101058, 101055?
-3*n + 101064
What is the m'th term of -153794, -615163, -1384110, -2460635?
-153789*m**2 - 2*m - 3
What is the a'th term of -70, -1685, -3300, -4915, -6530, -8145?
-1615*a + 1545
What is the j'th term of -1514, -3036, -4558, -6080?
-1522*j + 8
What is the o'th term of -718, -701, -678, -643, -590?
o**3 - 3*o**2 + 19*o - 735
What is the i'th term of 513, 316, 119?
-197*i + 710
What is the z'th term of 830, 770, 710, 650?
-60*z + 890
What is the k'th term of -54756, -109515, -164274, -219033, -273792?
-54759*k + 3
What is the o'th term of 116990, 116995, 117002, 117011, 117022, 117035, 117050?
o**2 + 2*o + 116987
What is the s'th term of -1610, -1649, -1686, -1721?
s**2 - 42*s - 1569
What is the t'th term of 430, 934, 1480, 2074, 2722, 3430?
t**3 + 15*t**2 + 452*t - 38
What is the o'th term of -118582, -237166, -355750, -474334, -592918, -711502?
-118584*o + 2
What is the d'th term of -47637, -47639, -47641, -47643, -47645, -47647?
-2*d - 47635
What is the d'th term of -27190, -108669, -244460, -434557, -678954, -977645, -1330624?
d**3 - 27162*d**2 - 29
What is the t'th term of -2380, -9504, -21376, -37996?
-2374*t**2 - 2*t - 4
What is the m'th term of 3031, 3114, 3211, 3328, 3471, 3646, 3859, 4116?
m**3 + m**2 + 73*m + 2956
What is the h'th term of 4596, 4573, 4556, 4551, 4564?
h**3 - 3*h**2 - 21*h + 4619
What is the i'th term of -2228, -2165, -2102, -2039, -1976, -1913?
63*i - 2291
What is the k'th term of -262, -480, -638, -724, -726?
2*k**3 + 18*k**2 - 286*k + 4
What is the a'th term of 612, 573, 516, 441, 348, 237, 108?
-9*a**2 - 12*a + 633
What is the y'th term of 521006, 1042012, 1563018?
521006*y
What is the g'th term of -167133, -334264, -501395, -668526?
-167131*g - 2
What is the g'th term of -6959, -27846, -62659, -111398?
-6963*g**2 + 2*g + 2
What is the m'th term of -97, -189, -449, -961, -1809, -3077, -4849, -7209?
-14*m**3 + 6*m - 89
What is the m'th term of 33, 92, 159, 234, 317, 408, 507?
4*m**2 + 47*m - 18
What is the s'th term of -393, -332, -255, -156, -29?
s**3 + 2*s**2 + 48*s - 444
What is the v'th term of 745, 3026, 6817, 12106, 18881, 27130, 36841, 48002?
-2*v**3 + 767*v**2 - 6*v - 14
What is the x'th term of -539, -1093, -1673, -2285, -2935?
-x**3 - 7*x**2 - 526*x - 5
What is the c'th term of -2266, -2224, -2178, -2128?
2*c**2 + 36*c - 2304
What is the q'th term of -1723, -1716, -1709, -1702, -1695?
7*q - 1730
What is the z'th term of -8633, -8664, -8717, -8792, -8889, -9008?
-11*z**2 + 2*z - 8624
What is the l'th term of 185, 369, 519, 617, 645, 585, 419?
-3*l**3 + l**2 + 202*l - 15
What is the p'th term of 261003, 522014, 783025, 1044036, 1305047, 1566058?
261011*p - 8
What is the a'th term of -57527, -57526, -57525, -57524, -57523, -57522?
a - 57528
What is the k'th term of 1789, 1764, 1719, 1648, 1545?
-k**3 - 4*k**2 - 6*k + 1800
What is the g'th term of -873, -1439, -2005, -2571?
-566*g - 307
What is the p'th term of -735, -1354, -1973?
-619*p - 116
What is the a'th term of 4, -172, -464, -872, -1396, -2036, -2792?
-58*a**2 - 2*a + 64
What is the o'th term of 366, 379, 414, 483, 598, 771, 1014, 1339?
2*o**3 - o**2 + 2*o + 363
What is the i'th term of -46, 24, 518, 1748, 4026, 7664, 12974, 20268?
52*i**3 - 100*i**2 + 6*i - 4
What is the h'th term of 639704, 639701, 639696, 639689, 639680?
-h**2 + 639705
What is the y'th term of 4785, 4781, 4775, 4767, 4757, 4745, 4731?
-y**2 - y + 4787
What is the i'th term of 812, 795, 780, 767, 756, 747, 740?
i**2 - 20*i + 831
What is the h'th term of 559, 681, 803?
122*h + 437
What is the y'th term of -1462, -5531, -12312, -21805?
-1356*y**2 - y - 105
What is the f'th term of 70, 74, 20, -122, -382, -790, -1376?
-5*f**3 + f**2 + 36*f + 38
What is the t'th term of 229764, 229763, 229762, 229761, 229760?
-t + 229765
What is the w'th term of -33140, -132579, -298310, -530333?
-33146*w**2 - w + 7
What is the z'th term of -1186, -4010, -8716, -15304, -23774?
-941*z**2 - z - 244
What is the q'th term of 35685, 142759, 321219, 571065, 892297, 1284915?
35693*q**2 - 5*q - 3
What is the c'th term of 219, 174, 129, 84, 39?
-45*c + 264
What is the a'th term of -252, -569, -1112, -1887, -2900, -4157?
-a**3 - 107*a**2 + 11*a - 155
What is the w'th term of 12443, 12436, 12423, 12404, 12379?
-3*w**2 + 2*w + 12444
What is the q'th term of -9677, -19357, -29037, -38717?
-9680*q + 3
What is the w'th term of -1, -106, -279, -520, -829?
-34*w**2 - 3*w + 36
What is the n'th term of -8869, -8881, -8893?
-12*n - 8857
What is the u'th term of -109, -746, -2465, -5806, -11309?
-90*u**3 - u**2 - 4*u - 14
What is the s'th term of 546, 251, -550, -2109, -4678, -8509, -13854?
-42*s**3 - s**2 + 2*s + 587
What is the s'th term of -708049, -708044, -708039, -708034, -708029?
5*s - 708054
What is the c'th term of 1680, 1685, 1690, 1695, 1700, 1705?
5*c + 1675
What is the p'th term of -389429, -389363, -389259, -389123, -388961?
-p**3 + 25*p**2 - 2*p - 389451
What is the w'th term of -133, -220, -307, -394, -481?
-87*w - 46
What is the j'th term of -45222, -45230, -45252, -45294, -45362?
-j**3 - j**2 + 2*j - 45222
What is the z'th term of 2412, 2413, 2416, 2421, 2428, 2437, 2448?
z**2 - 2*z + 2413
What is the t'th term of -11210, -22370, -33480, -44540?
25*t**2 - 11235*t
What is the u'th term of 8365, 16731, 25097?
8366*u - 1
What is the v'th term of -442, -831, -1194, -1519, -1794?
2*v**3 + v**2 - 406*v - 39
What is the x'th term of -663, -1555, -2447, -3339, -4231, -5123?
-892*x + 229
What is the s'th term of -5622, -5621, -5620, -5619?
s - 5623
What is the u'th term of -334, -1585, -3734, -6781, -10726?
-449*u**2 + 96*u + 19
What is the n'th term of -1448, -1445, -1442, -1439, -1436?
3*n - 1451
What is the o'th term of 1253, 1243, 1223, 1193, 1153, 1103, 1043?
-5*o**2 + 5*o + 1253
What is the k'th term of -4877903, -4877902, -4877901?
k - 4877904
What is the w'th term of 402, 697, 1000, 1311, 1630, 1957?
4* | {
"pile_set_name": "DM Mathematics"
} |
p(-3). Solve r*d + 6 = -6 for d.
-4
Let a be ((-3)/6)/((-2)/60). Solve -4*q - q + a = 0 for q.
3
Let k(q) = -q**3 + 9*q**2 - 8*q + 4. Let s be k(8). Let n(u) = -4 + 0*u - 2*u - s*u**3 - 3*u**2 + 5*u**3. Let p be n(4). Solve p*z = -0*z + 20 for z.
5
Suppose -z - z = -12. Suppose 3*s = s + z. Let x be (3/(-6))/((-3)/6). Solve 0 = 4*i - s - x for i.
1
Let t(q) = -2*q - 2. Let o be t(3). Let z = 2 - o. Solve w = -w - z for w.
-5
Let r = 5 - 4. Let m = r + 2. Solve 0 = -2*k - m*k - 15 for k.
-3
Let d be -3 - (3 + 0 + -6). Suppose -3*b - h = -4*b, d = b + h. Solve -u - u = b for u.
0
Suppose p + 0*n = 3*n, 2*p - 4*n = 2. Let y be -4 + 23 + p + -1. Let b be y/6*4/2. Solve b = v + 3 for v.
4
Suppose 2 + 22 = 4*f. Solve f*x + 8 = 4*x for x.
-4
Suppose -l = -6*l - 45. Let z(n) = n**2 + 5*n - 2. Let o be z(l). Let a be o/4 + (-2)/4. Solve 3*c + a = c for c.
-4
Let i be 2 + 4 - (4 + -1). Suppose -7 = -c + l, -c - 13 = -2*c + i*l. Solve 2*y = -2 - c for y.
-3
Let j(i) = -i**2 + 6*i - 3. Let w be j(4). Let v(l) = l**3 - 14*l**2 + 16. Let u be v(14). Solve -w*a + 1 = u for a.
-3
Let g(s) = 3*s - 54. Let n be g(19). Let c(x) = x**3 + x**2 - 1. Let q be c(1). Solve n = -h + q for h.
-2
Let u be (-96)/(-54) + (-2)/(-9). Let g = -2 + u. Solve x + 4*x = g for x.
0
Suppose -5*w + 20 = d - 6*d, 0 = -4*w - 5*d + 7. Suppose 2*m = -3*f + 4, 8*f - 12 = w*f + 2*m. Solve 0 = -f*s - 8 for s.
-4
Suppose 45*l - 50*l + 45 = 0. Solve l*v = 6*v - 12 for v.
-4
Let d = -7 + 12. Suppose -16 = w - d*w. Solve w*z - 4 = 4 for z.
2
Let r(x) = x**2 + x - 2. Let c be r(-2). Solve -20 = -c*q - 4*q for q.
5
Suppose -20*u = -22*u + 26. Solve -u = 5*p + 2 for p.
-3
Suppose -3*c - 16 = -40. Solve 0 = 3*b - c - 4 for b.
4
Suppose 6 + 2 = 4*a. Suppose -m + 2*m = a. Let t(k) = 5*k - 1. Let r be t(1). Solve m*o = r*o + 8 for o.
-4
Suppose 0 = 5*z - 22 - 23. Let b = z - 9. Solve -2*o - 6 = -b for o.
-3
Suppose -z + 3 + 2 = l, -2 = z. Let b(y) = y - 7. Let k be b(l). Solve k = -a + 3 - 0 for a.
3
Let z = -22 + 18. Let n be (28 - 4)*(-3)/z. Solve -3 = 3*a - n for a.
5
Let a be 19 - (0 - (2 - 1)). Suppose 0 = -5*j + 21 - 1. Solve j*l - a = -0*l for l.
5
Suppose 5*o + 1 - 6 = 0. Solve 3*n + 11 + o = 0 for n.
-4
Let r = 3 + -11. Let u(g) = -g - 4. Let l be u(r). Solve -3*s = l + 5 for s.
-3
Let v(a) = a**2 + 6*a + 11. Let m be v(-6). Solve 3 = 2*d + m for d.
-4
Suppose u - 5 = 1. Solve -u*q + 16 = -10*q for q.
-4
Suppose -5*p - 4 = 3*h - p, -p = h + 1. Suppose -4*g + 20 - 4 = h. Suppose 2*o + g = 4*o. Solve 3*q - o*q + 5 = 0 for q.
-5
Let g be (-1 - (-42)/30) + (-18)/(-5). Solve -g*k + 2 = -2 for k.
1
Suppose 5 = 2*f - s, 25 = -2*f + 6*f - 5*s. Solve f*j + j = -3 for j.
-3
Let r(f) = -3*f**2 + 35*f + 17. Let k be r(12). Solve 25 = -k*s - 0*s for s.
-5
Let o(j) be the first derivative of j**3/6 + 3*j + 3. Let m(y) be the first derivative of o(y). Let q be m(3). Solve p + 2 = q for p.
1
Suppose -4*b = -5*a + 29, -b - 14 = -2*a + 3*b. Solve 4*r = -25 + a for r.
-5
Let y be 3/9*3 - -1. Suppose 2*l = 5*l + 3*c + 6, 0 = y*l + 4*c + 12. Solve -8 = -l*r + 4*r for r.
-4
Let w(g) = -g**2 - g + 35. Let n = 4 - 4. Let c be w(n). Suppose -3*k - 5*m = -2*m - 27, -3*k + c = 5*m. Solve 7*u = 2*u + k for u.
1
Let a = -17 - -27. Let o = -6 + a. Let b be (5/(-4))/(2/(-40)). Solve -o*f + b - 9 = 0 for f.
4
Suppose -8*x = -7*x - 2. Solve 0 = -q - x*q for q.
0
Suppose -3*o + 9 = n - o, -2*o = -3*n + 3. Suppose 5*u + 12 = n*u. Let q = 9 + u. Solve -20 = 2*b + q*b for b.
-4
Suppose -4*i + 2*a = 4, -3*i - a + 0 = -2. Suppose 4*y + 2*w - 24 = 0, -3*y + w + 13 = -0*w. Suppose y*p = 5, 3*v + 6 - 27 = 3*p. Solve -4*f + v = -i for f.
2
Let f = 7 + -4. Suppose -k = -2*k + f. Suppose -v = 2*s - 17, 0 = 5*s - v - 12 - 13. Solve w = -s + k for w.
-3
Let h be 4*(-10)/(-8) + 0. Solve -3*d + h*d = 0 for d.
0
Let c(a) = 5*a - 7. Let x(h) = h - 1. Let k(t) = -c(t) + 4*x(t). Let f(z) = z**2 + 4*z + 3. Let i be f(-4). Let b be k(i). Solve -l - 2 + 3 = b for l.
1
Suppose -2*q = -7*q - 5*a + 80, 0 = -q - 2*a + 20. Suppose -5*h + 2*t = -2*t - 25, -4*h + 20 = -5*t. Solve h*s = s - q for s.
-3
Let k(i) be the third derivative of -i**6/120 - 7*i**5/60 - 5*i**4/24 + 4*i**3/3 - 2*i**2. Let d be k(-6). Suppose 20 = d*p + 2. Solve 0 = -o - 2*o + p for o.
3
Suppose 4*z + 15 = -z + 5*p, 5*z = 3*p - 9. Suppose -4*m + 2*g = -11 - 5, z = -2*m - 3*g. Solve 5*l + 4 = m*l for l.
-2
Let t = 7 - 2. Suppose -t*a + 4 = -3*a. Solve -4*q - 6 = -a*q for q.
-3
Let y = 3 - 4. Let p be (2/2)/y*-4. Solve -7*s + 3*s - p = 0 for s.
-1
Let p(r) be the third derivative of r**5/60 + r**4/12 + r**3/6 + 2*r**2. Let h be p(-3). Solve 1 = -3*m + h for m.
1
Let r = -6 + 8. Suppose -15 = -3*i + 3*x, -3*i + i + 5*x - 5 = 0. Let a be r/5 - (-36)/i. Solve a*p = -p for p.
0
Let k = -42 + 17. Let i = k + 25. Solve i*c + 20 = -4*c for c.
-5
Let u = 160 - 40. Let k be u/21 - 4/(-14). Suppose 0 + k = 2*d. Solve d*b = -b + 16 for b.
4
Suppose 5*h = 3*w + 48 + 21, 0 = -3*h - 3*w + 27. Suppose -3*v + 3*o + h = 0, -10 - 6 = -4*v + 5*o. Let y be (-20)/(-10) - 3 - (-2 - 0). Solve -a + v = y for a.
3
Suppose u = -2*r + 7*r + 26, -24 = u + 5*r. Let l = -4 + 15. Solve l = -4*p - u for p.
-3
Let p(d) = d - 4. Let g be p(3). Let r be 3/(-9)*(g - -1). Suppose -2*c = 6, 3*x - 2*c + 0*c = 15. Solve r*j = -j + x for j.
3
Suppose -2*w = 3*w - 30. Let g be (-2 - -4)/(4/w). Suppose -5*u = -g*u - 8. Solve 3 + 1 = -u*x for x.
-1
Let t(v) = -v + 11. Let j be t(0). Let b = 11 - j. Solve 3*f + 10 + 2 = b for f.
-4
Let v(u) = 5*u + 48. Let i be v(-7). Solve -3*w + i + 2 = 0 for w.
5
Let v(z) = -2*z**2 + 17*z - 17. Let q be v(7). Solve -q*p = p + 5 for p.
-1
Let u be (0 - 4)/(1 - 0). Let r be (-24)/(-10) + u/10. Solve 9 = -r*a - a for a.
-3
Suppose f = -4, -2*j + 2*f + 2 = -6. Suppose 0*h + h - 2 = j. Solve -o - 15 = h*o for o.
-5
Let f(o) = 2*o - 2. Let d be f(3). Suppose 2*a - 48 = -3*p - 6, p = -a + 14. Suppose -3*b + 56 = p. Solve 6 = -d*t - b for t.
-5
Suppose 10*v - 208 = 2*v. Solve -4*s + v = 6 for s.
5
Let r be ((-1)/(-1))/((-3)/(-9)). Let v = r - 1. Solve 0*w - 4 = -v*w for w.
2
Let q = 30 + -19. Suppose 3*g = 1 + q. Suppose -h - 42 = -g*h. Solve -5*u - h = 6 for u.
-4
Suppose 3*n = 2*n. Suppose n = -4*l - 0*l. Let w(m) = m**2 + m + 4. Let z be w(l). Solve -z*f + 0*f = 4 for f.
-1
Let v(x) = 7 + x - 4*x**3 - x**3 + 6*x**3 + 6*x**2. Let t be v(-6). Let o(k) = 6*k**3 - k. Let r be o(t). Solve r*q - 4*q - 4 = 0 for q.
4
Let v(k) = -k**2 + 5*k + 3. Let q be v(5). Let f be 3*q/9*7. Let r be (1 - 2)*(2 - f). Solve 3*w = 2*w - r for w.
-5
Suppose -2*w = 4, 4*w = -2*f + 5*f - 20. Suppose -2*b = -f*b - 10. Let u be 4/b*(-10)/2. Solve z = u*z for z.
0
Let q = 17 - 15. Solve q*c - 4 = -2 for c.
1
Let i(p) = -4*p**2 + 8*p + 12. Let m(c) = 5*c**2 - 7*c - 11. Let b(s) = 6*i(s) + 5*m(s). Let t be b(-12). Solve -t*v + 15 = -0*v for v.
3
Let y(v) = v**3 - 6*v**2 + 2*v + 4. Let p be y(6). Suppose 5*l - p = 4. Let m = -1 + l. Solve -m*x = -2*x - 3 for x.
3
Let a = -11 - -14. Suppose -14 = -x - a*x + 2*q, -q + 7 = 5*x. Solve 0*m + 2*m + x = 0 for m.
-1
Let y = -91 - -91. Solve -2*n + 10 = -y for n.
5
Let c = 125 - 123. Let g(p) = -p**3 + 2*p**2 + 4*p - 2. Let y be g(3). Solve n + c = y for n.
-1
Let y = -58 - -70. Solve 4*u + 0 = y for u.
3
Suppose 4*q - q = 0. Let f(k) = 2*k**3 - 1. Let v be f(2). Suppose -4*g + v = -9. Solve g*s - 3*s + 6 = q for s.
-2
Suppose -3*n + 9 + 0 = 0. Suppose -29 = -3*z - 2*r, 2*z - n*r = -0*z + 15. Suppose -o - 4*f + z = -3*f, 5*f = 25. Solve -2*q - 6 = -o*q for q.
3
Let c be ((-24)/(-28))/((-48)/(-21) + -2). Solve -c - 9 = -4*b for b.
3
Let h = 35 + -25. Solve -c + h = c for c.
5
Suppose -2*n + 4 = -6*n. Let a(f) = -2 + 4 - 2 - f + 1. Let t be a(n). Solve -g + 1 = t for g.
-1
Let y be 39/26 + (-3)/(-2). Let a be (-34)/(-6) + 1/3. Solve b + a = y*b for b.
3
Suppose 3*t - 5 = -2*t. Suppose -t + 3 = 2*a. Solve a = 5*d - 4 for d.
1
Let v = 8 - 5. Solve -4*c = -5*c + v for c.
3
Suppose -k + 5*l + 79 = 2*k, 2*k - 52 = 4*l. Suppose k = 2*c + 8. Suppose q + 0*q = 4. Solve -q*o - o = -c for o.
2
Let d(f) = -2*f - 1. Let x be d(6). Let y be x/(-4) - (-9)/(-36). Solve 0 = b + 1 + y for b.
-4
Let n = -6 + 18. Solve -n = -3*c - 0*c for c.
4
Suppose -3*r + 3 = -z, -4*z + 16 = 4*r - 2*r. Solve 3*k + 1 | {
"pile_set_name": "DM Mathematics"
} |
2571484*c*s**5 - 2*c*s - 3*s - 3 wrt s?
2*c**3 + 251429680*c*s**3
What is the third derivative of 734263*y**3 - 16*y**2 + 136290*y?
4405578
Find the second derivative of -371200203*o**2 + 268701137*o wrt o.
-742400406
What is the third derivative of -877*m**4 - 134008*m**3 - 8*m**2 + m - 94030 wrt m?
-21048*m - 804048
What is the second derivative of 467191237*y**2 + 193294323*y + 1 wrt y?
934382474
Find the first derivative of -5926825*s + 11743741.
-5926825
What is the derivative of -f**2*l**2 + 89979434*f**2*l - 929*l**2 - 10*l + 621 wrt f?
-2*f*l**2 + 179958868*f*l
What is the third derivative of -14081406*k**5 - 21*k**4 + 2*k**2 + 479859*k + 8 wrt k?
-844884360*k**2 - 504*k
What is the derivative of -9*n**4 + 33470*n**3 + 3*n + 23942207 wrt n?
-36*n**3 + 100410*n**2 + 3
What is the derivative of -13*g*t**2 + g*t - 409044*g + 1007997*t**2 wrt g?
-13*t**2 + t - 409044
Find the second derivative of 158*a*n**2*x - 148351*a*n*x**3 + 131*a*n + 4002*n**2*x**3 + 43*n**2*x**2 + n*x - 3*x**2 + x wrt n.
316*a*x + 8004*x**3 + 86*x**2
Find the third derivative of -2*r**3*x**3 - 2395807*r**3*x - 56*r**2*x**2 - 84485319*x**3 wrt x.
-12*r**3 - 506911914
What is the third derivative of -6832*m**3*w**2 + 3*m**3*w + 835*m**3 + m**2*w**2 - 1030*m*w - 13300*w wrt m?
-40992*w**2 + 18*w + 5010
What is the first derivative of -h**2*r**2 - 68*h**2 - 374074*h + 5074127*r**2 wrt r?
-2*h**2*r + 10148254*r
Find the second derivative of -74568086*i**5 + 39753575*i wrt i.
-1491361720*i**3
What is the first derivative of -3*b**4 + 69192573*b**2 - 186604764 wrt b?
-12*b**3 + 138385146*b
What is the second derivative of 9300515*t*w**2 - 1919*t*w + 11*t + 36*w + 2 wrt w?
18601030*t
Find the second derivative of 32*q**4 - 184*q**3 + 5*q**2 - 152724*q - 148 wrt q.
384*q**2 - 1104*q + 10
Differentiate 46646412*l*t + 55073*t - 77 wrt l.
46646412*t
Differentiate -7*i**2 + 65845*i - 1856714 wrt i.
-14*i + 65845
Find the second derivative of -86408994*x**2 - 142*x + 1273617.
-172817988
What is the second derivative of -5467*x**3 + 169*x**2 - 1218273*x - 4?
-32802*x + 338
Find the first derivative of 541970392*x**2 - 18162314.
1083940784*x
Find the second derivative of 1295252*q**5 - 13*q**3 - 253452932*q wrt q.
25905040*q**3 - 78*q
What is the second derivative of 1085131*a*t**4 + 5*a*t + 88340*a - 3*t**4 + t + 2 wrt t?
13021572*a*t**2 - 36*t**2
Find the second derivative of 8200*s**2 - 9396908*s wrt s.
16400
What is the second derivative of 109121313*w**3 + 13291601*w?
654727878*w
What is the second derivative of -15148288*w**3 + 28936*w - 120 wrt w?
-90889728*w
Find the first derivative of 12854693*n**2*u - 7365*n**2 + n*u**2 - 102 wrt u.
12854693*n**2 + 2*n*u
What is the second derivative of -54*k**3*s**2 - 832*k**3*s + 2*k**3 - 51345*k*s**3 - 855*k*s - s wrt s?
-108*k**3 - 308070*k*s
What is the derivative of -4240862*p*x - 46*p - 35*x - 535153 wrt p?
-4240862*x - 46
Find the second derivative of 2*c*f*j**2 + 16268*c*f*j - 3034793*c*j**2 + 4404*c - 5*j**2 wrt j.
4*c*f - 6069586*c - 10
What is the third derivative of -12455504*a**2*l**3 - 2*a**2*l**2 + 18*a**2 + 112182*a wrt l?
-74733024*a**2
What is the derivative of -137188193*a*t**2 - 6*a - 1504788 wrt t?
-274376386*a*t
Differentiate -559*n**3*p**2 - 102280160*n**3 - 2*n**2 + 174864*n*p + 2*n wrt p.
-1118*n**3*p + 174864*n
What is the second derivative of 8729818*a**5 + 17250744*a wrt a?
174596360*a**3
What is the third derivative of -776090*a**5 - 17*a**3 + 5455257*a**2?
-46565400*a**2 - 102
Find the second derivative of -635*i**3*y**2 - 111672*i**2*y**3 - 25*i*y**2 - 7*i + 16*y**3 + 2*y**2 + 89 wrt i.
-3810*i*y**2 - 223344*y**3
Find the third derivative of 281*m**5 + 45473*m**4 - m**3 + 38229922*m**2.
16860*m**2 + 1091352*m - 6
What is the derivative of -26*y**3 + 14337*y - 15346549 wrt y?
-78*y**2 + 14337
What is the second derivative of 1816194*f**2*v**2 - 2*f**2 + 2*f*v**2 - f*v - 2*f + 386*v**2 - 4150 wrt f?
3632388*v**2 - 4
What is the third derivative of 14620206*j**3 - j**2 + 2*j - 211729?
87721236
Find the third derivative of 238318397*i*u**3 - 400*i*u**2 - 718*i*u - 25*i wrt u.
1429910382*i
Find the second derivative of -3*d**3 + 486789*d**2*v + 2*d**2 - 642*d*v + 24545*v wrt d.
-18*d + 973578*v + 4
What is the third derivative of 351*l**5 + 6401*l**4 - 7464402*l**2?
21060*l**2 + 153624*l
What is the second derivative of -l**3*t + 52606424*l**3 - 6*l*t - 5824*l + 727*t - 3 wrt l?
-6*l*t + 315638544*l
Find the third derivative of -2*h**3*q**2 + 2414604*h**3*r - 6*h**2*q**2*r + h*q*r + 13*q*r - 27*r + 201 wrt h.
-12*q**2 + 14487624*r
What is the third derivative of -5756203*l*n**3 - l*n**2 - 3145*l + n**5 - 113*n**2 wrt n?
-34537218*l + 60*n**2
Find the second derivative of 1845000*a**2 - 16180619*a.
3690000
Differentiate -1060634*b**4*z - 2896273*z wrt b.
-4242536*b**3*z
Differentiate 30745504*g**4 - 16611953 wrt g.
122982016*g**3
Find the third derivative of 91171712*w**3 - w**2 + 13532565*w + 5.
547030272
What is the second derivative of 27670*f**2*i**3 - 106*f**2*i**2 + f*i**3 + 4*f*i - 3515*f - 18*i - 3 wrt f?
55340*i**3 - 212*i**2
What is the second derivative of -13869*b*n**2 + 276879*b - 25*n**4 + 4*n**3 - 3*n + 2 wrt n?
-27738*b - 300*n**2 + 24*n
What is the second derivative of -4577846*y**2 + 3072349*y wrt y?
-9155692
What is the third derivative of 12804593*c**3 - 354*c**2 + 14404?
76827558
What is the third derivative of 284294*r**4 - r**3 + 4*r**2 + 9818*r + 18 wrt r?
6823056*r - 6
What is the second derivative of 203*g**2*j**2*r*w - 24*g**2*j*w - 30*g**2*r - 3*g*j**2*r*w + g*r*w + 10*g*r - 3441204*r*w wrt g?
406*j**2*r*w - 48*j*w - 60*r
What is the first derivative of -6199*h*k**2 + 69*h*k + 9*h - 44*k - 7100614 wrt k?
-12398*h*k + 69*h - 44
Find the third derivative of 640*h*k**3*o*w**2 + h*k**2*o**3*w + 2*h*k**2 - 39009*h*k*o**3*w**2 - h*o**3*w**2 - 3*h - 416*k**3*o**3*w**2 - o**3 + 4*o**2 wrt k.
3840*h*o*w**2 - 2496*o**3*w**2
What is the first derivative of 4136370*o*w + 307289*o wrt w?
4136370*o
Find the second derivative of 209*d*v**2 + 2*d*v - 30*d - 86078*v**2 - 87*v + 3299 wrt v.
418*d - 172156
What is the derivative of -2*g**2*v + g**2 + 652*g*v - 1257*g - 12083044*v wrt g?
-4*g*v + 2*g + 652*v - 1257
What is the second derivative of 5987757*v**4 + 1581477*v + 2?
71853084*v**2
Find the third derivative of -182274*h**3*l**3*u - 65*h**3*u - 2*h**2*l**2 - h**2*l*u - 3*h**2*u - 4*h*l*u + 42352*l**3 + 2*l wrt h.
-1093644*l**3*u - 390*u
What is the first derivative of -27543*z**2 - 333*z - 874427158?
-55086*z - 333
What is the third derivative of 45004026*i**5 + 54652700*i**2?
2700241560*i**2
What is the second derivative of -120060471*z**2 - 21246873*z?
-240120942
Find the second derivative of -678*h**3 + 4676*h**2 + 14822150*h wrt h.
-4068*h + 9352
What is the third derivative of 355*v*w**4 + 1534*v*w**2 + 329*v*w + 3518*w**6 wrt w?
8520*v*w + 422160*w**3
Find the first derivative of -808*m**2 + 23410*m - 15468236.
-1616*m + 23410
Find the second derivative of -25085577*s**4 - 52044531*s.
-301026924*s**2
Differentiate -3668251*k**3*w + 19*k**2*w - 290635404*w wrt k.
-11004753*k**2*w + 38*k*w
What is the second derivative of -519837572*p**3 + 96*p - 196505?
-3119025432*p
Find the third derivative of -990*x**4 + 13791*x**3 + 389*x**2 + 222*x - 7.
-23760*x + 82746
What is the third derivative of -2238*i**3*l**4 + i**3*l**2 - 3*i**3*l - 1760*i*l**4 + 4*i*l**2 - 11*i - 2*l**3 - l**2 - 1247*l wrt l?
-53712*i**3*l - 42240*i*l - 12
What is the second derivative of -555*d**5 + 23*d**4 - 31*d**2 - 17768447*d - 2 wrt d?
-11100*d**3 + 276*d**2 - 62
Find the second derivative of 700887*a*r**2 - 179*a*r + 2*a + 24*r**2 + 3511 wrt r.
1401774*a + 48
Find the second derivative of 8928502*a**5 + 7886345*a.
178570040*a**3
What is the third derivative of -80404145*t**5 - 2136*t**2 - 1094*t - 7 wrt t?
-4824248700*t**2
Find the third derivative of -13201074*d**6 - 2*d**2 + 95687*d - 38.
-1584128880*d**3
What is the third derivative of -43345237*n**3*y**3 - 292*n**3*y**2 - 58*n**3*y + 3*n**3 + n*y wrt y?
-260071422*n**3
What is the third derivative of d**6 + d**4 - 20815*d**3 - 10611948*d**2 wrt d?
120*d**3 + 24*d - 124890
Differentiate -62306547*w - 1019330685 wrt w.
-62306547
What is the derivative of 2770*j*y* | {
"pile_set_name": "DM Mathematics"
} |
is the ten millions digit of 2814486911?
1
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9
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4
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8
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9
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1
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5
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6
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2
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5
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9
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6
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2
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5
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3
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7
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1
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4
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3
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0
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0
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5
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6
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5
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8
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6
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5
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3
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9
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9
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4
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1
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4
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4
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2
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0
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8
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5
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4
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9
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9
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3
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9
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8
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2
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3
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1
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1
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5
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3
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0
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7
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7
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5
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5
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8
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3
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3
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6
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4
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3
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6
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6
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9
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7
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4
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1
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9
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4
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1
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1
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0
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8
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1
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6
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0
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7
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2
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1
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2
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7
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4
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0
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0
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5
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0
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3
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5
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6
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3
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5
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1
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9
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7
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4
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2
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7
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2
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0
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1
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1
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8
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2
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3
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1
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6
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6
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6
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3
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9
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2
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1
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5
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1
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3
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9
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5
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5
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2
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5
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9
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8
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2
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3
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8
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3
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3
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5
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1
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1
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7
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9
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9
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0
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0
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6
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3
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1
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5
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6
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4
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2
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2
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1
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6
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0
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4
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3
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1
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0
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9
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5
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4
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9
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9
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4
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3
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1
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0
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2
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5
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8
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9
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2
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8
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7
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1
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3
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0
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0
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2
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7
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4
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2
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0
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7
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9
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7
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1
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1
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3
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2
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8
What is the t | {
"pile_set_name": "DM Mathematics"
} |
ind the third derivative of 5*h*m**4 + 19*h*m**2 + 4*h*m + 6479*m**4 - 29*m**3 + 3*m**2 - 4864*m wrt m.
120*h*m + 155496*m - 174
Find the third derivative of -236575*b*m**4 + 3*b*m**2 + 2942456*b - 105*m**4 - m**2 wrt m.
-5677800*b*m - 2520*m
Find the third derivative of 1599*a**4*y**3 - 75*a**4*y + 2*a**3*y + a**2*y + 2*a*y**3 + 33*y**3 - 62*y**2 - 4 wrt a.
38376*a*y**3 - 1800*a*y + 12*y
Find the third derivative of -2*b**3*l*w**3 - 1518*b**3*l*w + 421*b**3*o + 3*b**2*l*o*w**3 + 2*b**2 - b*l*w**3 + 8*l*o*w**3 - 62710*l*o*w - w**2 wrt b.
-12*l*w**3 - 9108*l*w + 2526*o
Differentiate -7*l**2*w*y + 29*l**2*y - 17140*l*w**2 - 16*l*y - 438*l - 10*w*y wrt w.
-7*l**2*y - 34280*l*w - 10*y
What is the second derivative of -681*u**2*z**2 + 7*u**2*z - 4904*u*z**4 - 8*u - 84620 wrt z?
-1362*u**2 - 58848*u*z**2
What is the first derivative of -4*p**2 - 24538465*p - 444028917?
-8*p - 24538465
Find the third derivative of -o**3*v**3 + 66900541*o**3 - 4*o**2*v**3 + 301*o**2*v**2 + v**3 - 1362*v**2 wrt o.
-6*v**3 + 401403246
What is the third derivative of -935193143*h**3 - 426038302*h**2 wrt h?
-5611158858
What is the second derivative of -m**4 + 194*m**3 + 244327*m**2 + 571535084*m?
-12*m**2 + 1164*m + 488654
Find the third derivative of -7343251*i**6 - 2*i**3 + 2*i**2 - 2455*i + 90 wrt i.
-881190120*i**3 - 12
Differentiate 957*w**2*z - 56*w**2 - w*z - 33*w - 21*z + 2215974 with respect to w.
1914*w*z - 112*w - z - 33
Differentiate -7087380*a**3*c + 127*a**3 - 5*a + 18405 with respect to c.
-7087380*a**3
What is the second derivative of 43055320*d**2 + 18*d + 2100696 wrt d?
86110640
Differentiate 304*n**3 - 3481*n**2 + 40328837.
912*n**2 - 6962*n
Differentiate -3*o**4 + 41592450*o - 357237526 wrt o.
-12*o**3 + 41592450
Find the first derivative of -40*v**4 - 102338*v**3 - 64164600 wrt v.
-160*v**3 - 307014*v**2
Find the third derivative of 328782733*m**3 - 415859871*m**2 wrt m.
1972696398
Find the third derivative of 133045383*c**3 - 61*c**2 - 4472660*c.
798272298
What is the second derivative of -i**5 - 12*i**3*n**2 + 54522*i**2 - i*n**2 - 214207*i wrt i?
-20*i**3 - 72*i*n**2 + 109044
What is the first derivative of 84629106*l - 7057051 wrt l?
84629106
Find the second derivative of 2*u**4 + 27819*u**3 - 52*u**2 - 587460826*u wrt u.
24*u**2 + 166914*u - 104
Find the third derivative of -293*f*v**4 + 143742*f + 19616*v**6 - 12*v**2 wrt v.
-7032*f*v + 2353920*v**3
Find the first derivative of f**3 - 23*f**2*g**2 - 6752251*f*g - 23*g**2 - g + 1727459 wrt f.
3*f**2 - 46*f*g**2 - 6752251*g
What is the third derivative of -1376048901*c**3 + 19748*c**2 + 6116*c wrt c?
-8256293406
What is the second derivative of 4092877*g**3 - g**2 + 1644388*g?
24557262*g - 2
What is the second derivative of -54*n**5 - 1064601*n**4 + 266448700*n?
-1080*n**3 - 12775212*n**2
What is the first derivative of 2761161*a*c - 119869726*a wrt c?
2761161*a
Find the third derivative of 10093*x**5 + 4157*x**4 + x**3 + 9180457*x**2 - 2*x - 2.
605580*x**2 + 99768*x + 6
Find the second derivative of 8242*a**2*s**2 - 2615*a**2*s + 102*s**2 - 1074*s wrt s.
16484*a**2 + 204
Find the third derivative of 74148439*r**3 - 78889253*r**2 wrt r.
444890634
What is the second derivative of 12802*w**4 + 23*w**3 + 14400918*w?
153624*w**2 + 138*w
Find the second derivative of 64123*o**3 + 31*o**2 + 2045*o + 169 wrt o.
384738*o + 62
What is the third derivative of 8282*x**5 + 168*x**4 + 11956*x**2 + x + 85?
496920*x**2 + 4032*x
Find the third derivative of -52171635*j*k**3 + 1901*j*k**2 + 31149*k**2 wrt k.
-313029810*j
Find the second derivative of -i**4 - 1736*i**3 + 13953*i**2 + 442215005*i wrt i.
-12*i**2 - 10416*i + 27906
Find the second derivative of 10219*i**2*u**2 + 602*i**2*u + 24*i*u + 275892*u**2 wrt i.
20438*u**2 + 1204*u
Find the second derivative of 24*a**2*b**2*x + 4*a**2*h*x + 51262*a*b**2*h + a*b*h - 2*a*x - 33*b*h + 15*h*x wrt b.
48*a**2*x + 102524*a*h
What is the second derivative of -607*a**2*p**3 - 13*a**2*p**2 + 502*a**2 - 31*a*p**3 + 5885*a*p + 2*a + p - 8 wrt a?
-1214*p**3 - 26*p**2 + 1004
What is the derivative of 60*i**3 - 408562*i**2 + 28761067?
180*i**2 - 817124*i
What is the second derivative of -24955687*l**2*y**3 - 56*l*y**3 + 26517*l*y**2 + l wrt l?
-49911374*y**3
Differentiate 14492330*h*j + 5572*h - 4660 with respect to j.
14492330*h
Find the second derivative of -282*h**3*k**2*t + 2*h**3*k - h**2*k**2*t + h**2*t - 18*k**2*t - 235988*k wrt k.
-564*h**3*t - 2*h**2*t - 36*t
What is the third derivative of -14845881*r**3*y**4 + 15*r**3*y**3 + 253995408*r**3*y**2 wrt y?
-356301144*r**3*y + 90*r**3
What is the first derivative of 3894437*p**4 - 4*p - 239928255 wrt p?
15577748*p**3 - 4
Find the second derivative of -5*a**2*i*t + 943696*a**2*t**2 + a*i*t**2 - 2*a*t**2 - 9971*a + i*t**2 + t**2 wrt a.
-10*i*t + 1887392*t**2
Find the third derivative of 4686*k**4 + 16597*k**3 + 346869609*k**2 wrt k.
112464*k + 99582
Find the second derivative of 32550451*w**3 - 13152*w + 28 wrt w.
195302706*w
Find the third derivative of 8993525*k**3*o**3 + 24045*k**2*o**3 + 13*k**2 wrt k.
53961150*o**3
Find the second derivative of -1729*s*y**2 + 2*s - 734*y**2 + 1004159*y wrt y.
-3458*s - 1468
Find the third derivative of -22692048*k**3*m**2 - 3*k**2*m**2 + k**2*m - 478*k*m**2 - 1971*k*m wrt k.
-136152288*m**2
Differentiate -9551*v*y**4 - 4436528*v + 15*y**4 + 3*y**2 with respect to y.
-38204*v*y**3 + 60*y**3 + 6*y
What is the third derivative of -769123220*o**6 - 719804308*o**2 wrt o?
-92294786400*o**3
What is the first derivative of 140808775*c**2*x + 12609578*c**2 - 6 wrt x?
140808775*c**2
Find the third derivative of -289644897*x**3 - 747582229*x**2 wrt x.
-1737869382
What is the second derivative of -328*c**4 + 30*c**3 - 420*c**2 - 258528*c + 2 wrt c?
-3936*c**2 + 180*c - 840
What is the second derivative of 12531011*q**3 - 2*q**2 - 20*q + 1248634 wrt q?
75186066*q - 4
What is the third derivative of -151645*a**2*v**3 - 2*a**2*v**2 + 1178411*a**2*v + 14*a*v**3 + 2*v**3 - 38*v**2 wrt v?
-909870*a**2 + 84*a + 12
Find the third derivative of 3036*m**3*r**2 - 518*m**3*r*w - m**3*r + 8*m**2*r*w + 12*m**2*w + 2*m + 2*r**2*w + 32*r*w + 18*w - 2 wrt m.
18216*r**2 - 3108*r*w - 6*r
What is the derivative of -h**4 - 4791*h**3 + 202*h + 32892338 wrt h?
-4*h**3 - 14373*h**2 + 202
Find the third derivative of -289641*h*y**3 + 2*h*y**2 + 4775*h + 19*y**3 - 21*y - 6 wrt y.
-1737846*h + 114
Differentiate -239851*j + 1768893 wrt j.
-239851
What is the second derivative of 83236068*f**2 + 55097431*f?
166472136
Differentiate -17798*i**3 + 3223*i - 122246695 wrt i.
-53394*i**2 + 3223
Find the second derivative of 49*o*w**2*x**3 + 2*o*w*x**3 - 4*o*w*x - 100*o*x - 3*o - 26472*w**2*x**3 - 280*w*x**3 + 17*x wrt w.
98*o*x**3 - 52944*x**3
Differentiate 117425454*j*n - 32*j - 289564 wrt n.
117425454*j
What is the derivative of -192*a**2*m*y - 777*a**2*m + 4*a**2*y - 8*a*m - 2*a + 157749*y wrt m?
-192*a**2*y - 777*a**2 - 8*a
Find the second derivative of 30156603*y**2 - 154995521*y wrt y.
60313206
Differentiate 4143*a**2*h*m - a*h**2*m - 91*a*m**3 + h**2*m**3 - h**2*m - 64*h*m**3 - 6*h*m - 1205*m wrt a.
8286*a*h*m - h**2*m - 91*m**3
What is the third derivative of -3*f*g**3 - 2*f*g + 7485*f + 15285*g**5 - 2*g**2 - 2*g + 2 wrt g?
-18*f + 917100*g**2
Differentiate 79506*c**2*j + c**2 + 2*c*j - 10*c - 1105577408*j with respect to c.
159012*c*j + 2*c + 2*j - 10
What is the third derivative of 250*x**5 - 2*x**4 + 95095*x**3 - 2710152*x**2 - 9 wrt x?
15000*x**2 - 48*x + 570570
Differentiate 1851285*d*t - 2*d + 25599367*t - 1 wrt d.
1851285*t - 2
Find the third derivative of -16592290*t**3 - 858837*t**2 + 12.
-99553740
What is the second derivative of -13088*z**3 + 5544*z**2 + 385439212*z wrt z?
-78528*z + 11088
What is the derivative of 5541*h*t**3 + 3064*h*t**2 + 98*t**3 - 2*t**2 + 262851*t wrt h?
5541*t**3 + 3064*t**2
Differentiate 221*u**2 + 8730*u - 71166251 with respect to u.
442*u + 8730
What is the second derivative of -5367962*j**2*q**2 - 5*j*q - 4*j + 1403*q**2 + 3 wrt j?
-10735924*q**2
What is the second derivative of -5*h*z**2 + 213*h + 78327946*z**2 - 2213741*z wrt z?
-10*h + 156655892
Find the first derivative of 496157*d**2*h**2 + 2*d*h**2 + 3*d + 81*h**2 + 8*h + 1391 wrt d.
992314*d*h**2 + 2*h**2 + 3
What is the f | {
"pile_set_name": "DM Mathematics"
} |
is next in -10, -33, -74, -133, -210, -305?
-418
What comes next: 680, 682, 684, 686, 688?
690
What comes next: 76, 113, 148, 181?
212
What is next in -47, -78, -129, -200, -291?
-402
What comes next: 20, 35, 60, 95, 140?
195
What is the next term in 183, 186, 189?
192
What comes next: -77, -176, -275, -374, -473?
-572
What is the next term in 214, 259, 304, 349, 394?
439
What is the next term in 1219, 1221, 1223, 1225?
1227
What comes next: -64, -130, -194, -256, -316, -374?
-430
What comes next: 11, 18, 27, 38?
51
What is next in -75, -133, -203, -291, -403?
-545
What is next in 139, 251, 363?
475
What is next in -638, -1279, -1920, -2561, -3202?
-3843
What is next in 2, -2, -2, 2?
10
What comes next: 149, 289, 429, 569, 709, 849?
989
What is next in 48, 116, 198, 282, 356, 408, 426, 398?
312
What comes next: -530, -1058, -1586, -2114, -2642, -3170?
-3698
What is the next term in -250, -989, -2220, -3943, -6158?
-8865
What is the next term in 12, 45, 114, 231, 408?
657
What is next in 127, 470, 811, 1150?
1487
What comes next: 23, 86, 177, 290, 419?
558
What is next in 0, -35, -130, -315, -620, -1075?
-1710
What is the next term in -73, -76, -87, -112, -157, -228?
-331
What is the next term in 124, 261, 398, 535, 672, 809?
946
What is next in 266, 506, 736, 950, 1142, 1306?
1436
What comes next: -162, -160, -158, -156?
-154
What is the next term in 47, 122, 197, 272, 347, 422?
497
What is the next term in -2, 11, 36, 79, 146, 243?
376
What is the next term in -3703, -3713, -3735, -3775, -3839, -3933, -4063?
-4235
What comes next: -745, -752, -759, -766?
-773
What comes next: -69, -304, -693, -1236?
-1933
What is the next term in 274, 288, 302, 316, 330?
344
What comes next: 208, 418, 628, 838, 1048?
1258
What is the next term in -3345, -3350, -3359, -3372, -3389, -3410?
-3435
What is next in 426, 854, 1282, 1710, 2138, 2566?
2994
What comes next: 89, 109, 141, 191, 265?
369
What is the next term in -51, -128, -205?
-282
What is the next term in -19, -5, 21, 65, 133, 231?
365
What comes next: 5, 22, 51, 98, 169, 270?
407
What is the next term in -13, -36, -73, -130, -213, -328, -481?
-678
What is the next term in -134, -129, -126, -125?
-126
What is next in 202, 405, 608?
811
What is next in -9, -8, -7?
-6
What comes next: 15, 9, 3, -3?
-9
What comes next: -1378, -1367, -1340, -1291, -1214, -1103?
-952
What comes next: 1028, 2057, 3086, 4115, 5144, 6173?
7202
What is the next term in 56, 113, 168, 221, 272?
321
What is next in 98, 31, -80, -235, -434?
-677
What comes next: 67, 68, 69, 70, 71, 72?
73
What is the next term in 14168, 28337, 42506?
56675
What is the next term in 2390, 4779, 7168, 9557, 11946?
14335
What is the next term in 13851, 13852, 13853?
13854
What is next in -5, 0, 3, 4?
3
What comes next: 62, 128, 208, 308, 434, 592?
788
What is the next term in 3, -47, -129, -243, -389, -567, -777?
-1019
What is next in 7878, 7866, 7842, 7800, 7734?
7638
What is the next term in 27, 44, 55, 60, 59, 52, 39?
20
What is the next term in 4539, 4528, 4515, 4500, 4483, 4464, 4443?
4420
What is next in -5385, -5366, -5329, -5268, -5177, -5050, -4881?
-4664
What is next in 137, 276, 415, 554, 693, 832?
971
What is the next term in -76, -149, -222, -295, -368, -441?
-514
What is the next term in -19, -20, -19, -16, -11, -4?
5
What comes next: 32, 52, 96, 176, 304?
492
What is next in -111, -190, -269, -348, -427?
-506
What is the next term in -20, -59, -188, -461, -932, -1655?
-2684
What comes next: 94, 112, 130, 148, 166, 184?
202
What comes next: 22, 45, 66, 85?
102
What comes next: -19, -29, -29, -19, 1, 31?
71
What is the next term in 45, 62, 91, 132, 185, 250?
327
What is the next term in 158, 1271, 4302, 10211, 19958, 34503, 54806?
81827
What is the next term in 191, 216, 239, 260, 279, 296?
311
What is the next term in -2, 1, 14, 43, 94, 173?
286
What is next in -26, -60, -102, -146, -186?
-216
What is next in -161, -611, -1351, -2375, -3677, -5251?
-7091
What is next in -38, -16, 24, 88, 182, 312?
484
What is next in -99, -398, -889, -1566, -2423, -3454, -4653?
-6014
What is the next term in 203, 429, 655, 881?
1107
What comes next: -252, -498, -744, -990, -1236, -1482?
-1728
What comes next: 7302, 7299, 7294, 7287, 7278, 7267?
7254
What comes next: -63, -57, -47, -33, -15, 7?
33
What is the next term in -1699, -1697, -1695, -1693?
-1691
What comes next: -449, -457, -471, -491, -517, -549, -587?
-631
What is the next term in 1538, 1544, 1552, 1562, 1574, 1588?
1604
What comes next: -12, -25, -36, -45, -52?
-57
What is next in 144, 146, 148, 150, 152, 154?
156
What comes next: -88, -81, -72, -61, -48, -33?
-16
What is the next term in 87, 188, 289, 390, 491?
592
What is the next term in -1469, -1470, -1471, -1472, -1473, -1474?
-1475
What is next in -37, -333, -1179, -2863, -5673?
-9897
What comes next: -168, -339, -510?
-681
What comes next: -54, -118, -266, -540, -982, -1634, -2538?
-3736
What is the next term in 54, 95, 136, 177, 218, 259?
300
What is the next term in -54, -118, -190, -270, -358, -454?
-558
What is the next term in -58, -75, -82, -73, -42, 17, 110?
243
What is the next term in 20, 92, 212, 380, 596, 860?
1172
What is next in 186, 197, 224, 273, 350, 461, 612?
809
What is next in -136, -146, -170, -214, -284?
-386
What comes next: -26, -67, -122, -191, -274, -371?
-482
What is next in -109, -87, -51, -1, 63, 141, 233?
339
What comes next: 5, -14, -45, -88, -143, -210, -289?
-380
What is the next term in -300, -595, -884, -1167, -1444, -1715?
-1980
What is the next term in 151, 154, 157, 160?
163
What comes next: -339, -331, -315, -291, -259, -219, -171?
-115
What comes next: 18, 38, 58, 78, 98?
118
What is next in -29, -208, -513, -950, -1525, -2244, -3113, -4138?
-5325
What is next in -6, 3, 38, 111, 234, 419, 678, 1023?
1466
What comes next: 1930, 1923, 1912, 1897, 1878, 1855?
1828
What is next in -196, -397, -596, -793, -988, -1181, -1372?
-1561
What comes next: 1130, 2252, 3374, 4496?
5618
What is the next term in -110, -104, -98, -92?
-86
What comes next: -51, -71, -105, -159, -239, -351, -501?
-695
What is next in -79, -89, -107, -139, -191, -269?
-379
What is the next term in 32, 21, 10?
-1
What is next in 139, 125, 111, 97?
83
What is the next term in -7, 2, 11, 20, 29, 38?
47
What is next in 24, 58, 114, 192, 292, 414, 558?
724
What is next in -63, -124, -185?
-246
What comes next: 95, 374, 841, 1496, 2339?
3370
What comes next: 9, -7, -39, -93, -175, -291?
-447
What is the next term in -1091, -1088, -1083, -1076?
-1067
What is the next term in 47, 95, 143, 191, 239?
287
What is next in -21827, -21825, -21823?
-21821
What is the next term in -64, -281, -648, -1165?
-1832
What comes next: 18, 37, 56, 75, 94, 113?
132
What is the next term in 445, 920, 1427, 1960, 2513, 3080, 3655, 4232?
4805
What is next in 17, 18, 19, 20?
21
What is next in -124, -100, -62, -10, 56?
136
What comes next: -166, -330, -494, -658, -822, -986?
-1150
What is the next term in -28, -26, -24, -22?
-20
What is the next term in 244, 491, 738?
985
What comes next: -97, -411, -945, -1705, -2697?
-3927
What comes next: 1167, 1165, 1161, 1155, 1147, 1137, 1125?
1111
What comes next: 25, 27, 31, 37?
45
What is next in -11, 23, 103, 247, 473?
799
What comes next: 7, -10, -39, -80?
-133
What is next in 27, 38, 55, 78?
107
What is next in -6383, -6382, -6381, -6380, -6379, -6378?
-6377
What is next in 23, 82, 179, 314, 487?
698
What is next in 136, 230, 324, 418, 512, 606?
700
What comes next: -816, -1634, -2452, -3270, -4088?
-4906
What is the next term in -974, -1950, -2928, -3908, -4890?
-5874
What comes next: 9, 18, 21, 12, -15?
-66
What is next in 22, 31, 38, 43, 46, 47?
46
What comes next: -45, -61, -73, -75, -61, -25, 39, 137?
275
What is next in 140, 285, 436, 593, 756, 925, 1100?
1281
What is next in -270, -1047, -2338, -4137, -6438, -9235, -12522, -16293?
-20542
What is the next term in -138, -140, -140, -138, -134, -128, -120?
-110
What is the next term in -8, -33, -94, -209, -396, -673, -1058, -1569?
-2224
What is next in -69, -132, -195?
-258
What is the next term in -2289, -2308, -2353, -2436, -2569, -2764, -3033, -3388?
-3841
What comes next: -776, -782, -790, -800, -812, -826?
-842
What is the next term in -664, -669, -674, - | {
"pile_set_name": "DM Mathematics"
} |
+ 57*t + 352, -12*r - t - 4 = -13*r for r.
-2
Solve 3*k = 89*a - 220, -3932*k + 3927*k - 62 = 4*a for k.
-14
Solve 70*w + 40803 = -5*m + 41193, 2*m - w - 11 = 0 for m.
8
Solve 80*i + 272 = 3*y - 7*y, 0*i - 2*y + 44 = -5*i for i.
-4
Solve 7*r + 5*t - 5 + 0 = 1, -9*r + 4*t - 3*t + 24 = -2*r for r.
3
Solve -4*n - 20*z = -32, n - 4*n + 14*z + 22*z - 38 = 20*z for n.
-2
Solve -8*j - 2*i = 9 - 3, 3*j - 6*i + 14 + 22 = -0*i for j.
-2
Solve -2*c - 11*y = 27, 5*c + 36 = -2*y + 37 + 59 for c.
14
Solve 0 = 3*p + 4*h - 86, 7*p - 8*p - 7004*h + 42 = -7002*h for p.
2
Solve 3036*h + 28 = 3032*h - 3*j, -16 = 4*j for h.
-4
Solve 16*y - 12*y - 274*d + 137*d = -133*d + 24, 0 = -5*d for y.
6
Solve -4*d = -6*t - 10, -7642 = 3*d - 7672 for t.
5
Solve 0 = 2*w - 2*l + 6, 0 = -w + 6545*l - 6542*l - 9 for w.
0
Solve 9 + 31 = 14*j + 5*c + 13, 2*j - 4*c - 18 = 0 for j.
3
Solve 5*p + 29 = -0*g - 4*g, 39*p - 453*g = -456*g - 198 for p.
-5
Solve -3*l + 61 = 2156*w - 2160*w, -74*w = 5*l - 263 for l.
23
Solve -3*j + 16*x + 265 = 1010 + 288, 5*j + x + 528 = 577 for j.
-3
Solve 37385 = b + 3*l + 37377, 53*b + 391 = 4*l for b.
-7
Solve -4*z = -5*w - 42, 714*z = 717*z + 6*w - 12 for z.
8
Solve -20*o - 5*o = 0, 3*u - 2*u - 9*o = -27*o + 4 - 0 for u.
4
Solve 7131 - 7116 = 5*z, -29*r - z - 142 = 0 for r.
-5
Solve 4*q + 96 = 24*h, 141*h + 2*q = 136*h + 20*q + 329 for h.
1
Solve -2*m = -8, -8*m + 12*m + 6*m + 36 = 5*j - 12 - 112 for j.
40
Solve 5*b - 22*j = -453 + 389, 4*b + 116 = -4*j for b.
-26
Solve 29*v - k + 2*k + 238 - 343 = 0, k + 0*k - 18 = 0 for v.
3
Solve -168*g + 16 = 2*y - 167*g, -6*g + 40 = 5*y for y.
8
Solve 257*y + 12 = 260*y, -5*y - 91 = 3*r for r.
-37
Solve 164 = 2*n - 3*j, -588*j + 289*j - 83 = -n - 297*j for n.
79
Solve 0 = 2*w - 104*h - 2808, -2*w - 48 = -5*w + 5*h + 36 + 51 for w.
0
Solve -6*f - 4*o + 26 = 0, f - 17 = 408854*o - 408858*o - 6 for f.
3
Solve 3*h + 4*c = c, 0*h = h + 15*c - 8*c - 10*c for h.
0
Solve 69 = -3*z, -3*r - 39385*z + 39381*z - 101 = 0 for r.
-3
Solve -i + 17 = 3*r, -1864*r = -1893*r - 5*i + 155 for r.
5
Solve -2*z + 4*c = -16, -z - 80*c + 161*c + 38 = 85*c for z.
18
Solve -4*m - 4*l + 12 = -0*l, 0 = 17*l - 4*l - 9*l for m.
3
Solve 0 = -s - 248485*a + 248481*a - 21, 0 = -3*s - 4*a - 23 for s.
-1
Solve 96*q - 2*h = 252, -108*q + 110*q + 190 = 3*h for q.
4
Solve 2*n - 24 = -3*d + 26 - 99, d = -2*n - 15 for n.
1
Solve 4*c - 22 = -27*u + 5*c + 90, -3*c = 12 for u.
4
Solve -4*a + 5*i = -112, 83 = a - 3912*i + 3908*i for a.
3
Solve -22 = 2*l + 2*x, -4*l + 2*x = x - 73 + 106 - 69 for l.
5
Solve -13*y = 80*y - 54*c + 52*c + 245 + 232, 5*y - 5*c = -55 for y.
-5
Solve -23 = -4*w + 3*z + 14, -z + 793 - 413 = -3*w + 404 for w.
7
Solve 2*y - 10 = 0, 0*q = -5*q + q + q + 135*y - 798 for q.
-41
Solve f + 0*f = -o - 48, 26 + 120 = 5*f - 2*o + 22 for f.
4
Solve -1922 = 2*j - 3*v - 1905, -35*j - 241 = 4*v for j.
-7
Solve -2*u + 6*q = q - 53, 5*u + 498 = 65*u + 6*q for u.
9
Solve -9*x + 301 = 5*q, 94*x - 68 - 72 = 4*q + 90*x for q.
-1
Solve 4*t + 1027 = 3*n + 995, 0*t - 6*t = n + 48 for t.
-8
Solve -163*u + 4*c - 859 = 0, u + 653*c = 1288*c - 636*c + 6 for u.
-5
Solve 0 = -8*a - 4472*d + 4474*d + 6 + 20, -5*a + 18 = -d for a.
5
Solve 2*y - 18 = o, 2*y - o + o - 294 = -3*y - o - 228 for y.
12
Solve 3*n = 2*t + 32, 6 + 4 = 81*t - 79*t + 18*n for t.
-13
Solve 10*i - 55 = 5*k, -3*i - 1161*k + 1172*k = -7 for i.
6
Solve -3*b + 30*q - 195 = 0, 27*q - 110 = 7*b + 26*q for b.
-15
Solve 10203*r - 2*q = 10205*r + 44, 3*q = -12*r - 246 for r.
-20
Solve 5*x = 5*q + 175, 4*x - 185096*q + 185093*q = 135 for x.
30
Solve 4*a - 4*i + 11422 = 11486, 4*a + 2*i = 70 for a.
17
Solve y + 6 = 4*s, 18*s - 1 = -248*y + 250*y + 21*s for y.
-2
Solve -5*k - 7*z - 31 = 0, 787*z - 790*z = -18*k - 168 for k.
-9
Solve 0 = -5*h - 15, -18*d - h = 27*d - 40*d - 67 for d.
14
Solve 191*l - 11*o + 542 = -3333, -4*l - 3*o = 65 for l.
-20
Solve -2 = -2*t - 41*v + 56*v, 5*v = 5*t - 4 - 66 for t.
16
Solve 41925*v - 41926*v = -y, -104*y = -3*v for v.
0
Solve -5*h + 13*r = 82, -2*h + r + 357 = 2*r + 365 for h.
-6
Solve 8*q + 4*n - 2*n = 22, 35*q - 30*q = -4*n for q.
4
Solve -m - 3*l = -3*m + 228, -5*l = 12412*m - 12416*m + 378 for m.
-3
Solve 3*w + 4*m = -129, -3*w + 2*w + 200 = -6*w - 5*m + 45 for w.
5
Solve -2*q - 2 = 0, -15*q - 11 - 5 = 4*a - 12*q + 3 for a.
-4
Solve 0 = 4*j - 3*q - 99, -4*j + j - q - 89 + 56 = 0 for j.
0
Solve 6895*i - 6894*i + 171 = 5*x, 3*x = -2*i + 100 for x.
34
Solve -p = 3*y, 914*y - 918*y - 1 = p for p.
3
Solve i - 23192*h = 3*i - 23197*h + 4, 26*i - 4*h + 42 = -132 for i.
-7
Solve -4*y + 107 = 4*i + 499, 7*i = -5*y + 9*y - i - 724 for y.
-5
Solve 3*x + 4*l + 122661 = 122692, -5*l + 20 = 0 for x.
5
Solve 0 = -2*o - 5*c + 497 - 431, 0 = -4*o + 3*c - 24 for o.
3
Solve 36 = -3*f - 0*f + 4*o, 61*f + 16*o - 364 = -10*o + 16*o for f.
4
Solve -6*q - 1 - 4 = -5*q, -5*f - 27*q = 161 + 4 for f.
-6
Solve 8215 = 4*j + 3*z + 8312, 2*j + 62 = -2*z for j.
-4
Solve 14*b - 12*b = -2*g - 10, -2*g + 4*g = -4*b - 5*g - 26 for b.
-3
Solve -b = -0*b + 34*l + 172, -23 = 4*b + 59*l - 56*l for b.
-2
Solve -61*i - 19*i - 3*n = 12, -3*i = -2*n - 2233 + 2225 for i.
0
Solve 4*m + 5*s - 6 = 3*m, -3*s + 30673 = 2*m + 30682 for m.
-9
Solve -4*p + 41 = -4*d + d + 32, 1 = -5*d + 2*p for d.
1
Solve -4*m - 2*f = -40, 18*f - 279 + 183 = 14*f for m.
-2
Solve -2*r = 435*p - 438*p - 86, 4*r = -5*p - 180 for p.
-32
Solve 116*j - 2*k = 231*j - 117*j, -2*k = -8*j - 30 + 6 for j.
-4
Solve 5*l - 16 + 36 = -45*n, 4*n - 12 = -7*l + 10*l for n.
0
Solve 0 = -3*b - 2*o + 33, 3*b + 7704*o = 7709*o - 6 - 3 for b.
7
Solve -28*d + 4*w = -1308, 0*d + 2*w = 2*d - 0 - 90 for d.
47
Solve 2*j - 22 = 4*n, 40 = -1351209*n + 1351219*n for j.
19
Solve 4*y - 5*w + 97 = 0, 5*y - 2*w + 39 = -3*y - 2*y - 151 for y.
-18
Solve -2*z = -7*w - 64, -2*z - 525 + 473 = -5*z + 5*w for z.
4
Solve 4*t - 44*v + 1687 = 1939, -2*t + 3*v = -31 for t.
8
Solve 10*x - 63 = -v, -10321*v - 27 = -4*x - 10322*v for x.
6
Solve 4*h + 52 - 15 - 5 = -2*q - 38, 14*q + 3*h + 115 = 0 for q.
-5
Solve 3*n + 1 = 7*m, -5*m - 16 = -2639*n + 2635*n for m.
4
Solve 5*h = 11695*g - 11690*g - 95, -3*g = 4*h - 92 for g.
24
Solve -117451*z - 2*w - 258 = -117459*z, -5*z = 4*w - 177 for z.
33
Solve -2*u = 143*v + 564, -5*u = 3*v - 0*v + 108 - 116 for v.
-4
Solve 11*x + 11*h + 77 = 0, -210*x - 5*h - 34 = -206*x for x.
-1
Solve 333*v = 2*t + 337*v - 154, 3*t - 108 = -3*v for t.
-5
Solve 2*j + 283 = 2*y + 608 - 293, 2*y = 142*j - 2132 for j.
15
Solve -175*b + 42*n - 40*n = 1577, 4*b + 4*n = -b - 41 for b.
-9
Solve -2*s - 5*a = 153, 132*a - 146*a = 4*s + 294 for s.
-84
Solve 516 = -92*m - 4*o, 558291*m + o + 29 = 558288*m for m.
-5
Solve g = -4*f - 12, -19852*f - 1 + 17 = -19851*f + 5*g for f.
-4
Solve 8*q - d = -16, -2*q + 85*d - 82*d = 2*q + 88 for q.
2
Solve 6*m + 62*h + 4*h = 759 - 555, -7*m + 4*h = -76 for m.
12
Solve -474*q + 1 = -471*q - g, 13*g + 4 = 3*q - 45 for q.
-1
Solve -59 = -5*v + 5*d - 19, -1273*v + 1276*v + 3*d = -30 for v.
-1
Solve -k + 17 = 5*y - 4*k, -7*y + k + 60 - 17 = 32 for y.
1
Solve -q = 5*a + 32, 5*a + 10 - 83 = 11*q + 39 for a.
-4
Solve -w = -12*d - 17, 6*d + 21 = -1035*w + 1038*w for w.
5
Solve 4*q - 195 = -7*m, 6*q - 2517 = 3*m - 2292 for m.
5
Solve 501 = -71*s - 2*g, 975*s - 973*s + 5*g = -24 for s.
-7
Solve 304618*p - r = 304614*p + 41, -2*r - 77 = -3*p for p.
1
Solve 13*v - 11 + 25 = -3*s + 107, 2*s = 9*v - 44 for v.
6
Solve 0 = -2*c + 20*i + 86, 0 = -c + 156*i - 161*i - 17 for c.
3
Solve 0 = i + 5*u - 7, -232*i + 0*u - 6*u + 35 = -227*i for i.
7
Solve 12 = -4*y, -49366*w + 3*y = -49370*w + 7 for w.
4
Solve -18 = 17*a - 23*a - i - 3*i, -29*a + i = -148 for a.
5
Solve 6 = -360*n + 365*n - 4*c, 0 = 3*n - 8*n + 2*c - 2 for n.
-2
Solve 2*r + 248007*f = 248004*f + 25, 3*r - 2*f = 5 for r.
5
Solve -2*q + 18 = -5*a, 6*a - 10*a + 3*q - 29 + 9 = 0 for a.
-2
Solve -1503*v - 7 = z - 1501*v, 0 = 96*z + 2*v + 1432 for z.
-15
Solve w - 6*m + 20 + 1 = -3*m, 4*w + 100 = 4*m for w.
-27
Solve i + 10 = 3*c - 20, 4*c = 5*i + 18 + 22 for i.
0
Solve -4*z - 72*i = -69*i - 115, -5*z = -3*z - 18*i + 586 for z.
4
Solve 2*n = 3*b + 6 - 0, 54*n = 1459*b - 1456*b + 51*n + 6 for b.
-2
Solve 2*f - 3*c + 34 = 0, -45 - 45 = -10781*f + 10786*f - 10*c for f.
-14
Solve 3*a + 95 = -6*n | {
"pile_set_name": "DM Mathematics"
} |
+ 3*g - 18 = -3*o. Let u(z) = -z**2 + 9*z + 4. What is the smallest common multiple of 6 and u(o)?
66
Suppose -3*t - 15 = 0, -2*q + 41 = -2*t - 25. Calculate the smallest common multiple of 18 and q.
252
Let n = -19411/2210 - 70/221. Calculate the common denominator of -27/43 and n.
430
Suppose 0 = 5*c + r + 4, 5 - 13 = 5*c - 3*r. Calculate the smallest common multiple of (-1 + c)*(-44)/8 and 9.
99
Let o(i) = -i - 1. Let w(q) = 25*q + 5. Let x(u) = 5*o(u) + w(u). Let l be x(-1). Calculate the least common multiple of l/6*-1*3 and 2.
10
Let z = 53791/20 - 2686. Calculate the common denominator of 1/34 and z.
340
Suppose -3*z + 762 = 2*a, a = -3*z - z + 391. Let c = -2615/7 + a. Suppose o + 2*v = 46, -2*o + 2*v = -36 - 50. Find the common denominator of o and c.
7
What is the common denominator of 83/10 and (765/126 + -6)/((-5)/118)?
70
Let z(u) = -u**3 + 2*u**2 + u. Let b be z(-1). What is the least common multiple of (-18)/(1/((-1)/b)) and 4/(-5)*10/(-4)?
18
Let j = 10 + -4. Calculate the least common multiple of 3 and j.
6
Let b = -518/13 - -2883/104. What is the common denominator of -71/8 and b?
8
Let l = -26 - -38. What is the lowest common multiple of 80 and l?
240
Let p = -12 + 26. What is the common denominator of (-4)/((-160)/p) + 2 and -73/18?
180
Suppose 7*v = 4*v + 12792. Suppose -v = 5*o + 9206. Let p = -26879/10 - o. What is the common denominator of -107/14 and p?
70
Find the common denominator of (0 - 3) + -1*114/(-22) and 93/8.
88
Let j = -471251/52950 - 2/26475. What is the common denominator of j and 17/6?
30
Calculate the common denominator of 28/238 - 1435/(-374) and 57/58.
638
Let z = 4251 - 7524. Let r = z + 32777/10. Find the common denominator of -1*1 - 130/16 and r.
40
Calculate the common denominator of 2/9 - 41/6 and -113/20.
180
Let t = -37 - -39. Calculate the least common multiple of t and 10.
10
Suppose 0 = -t + 3*q + 17, -t + 2*q = -5*t - 2. Let z = 11 - -7. Calculate the least common multiple of t and z.
18
Let m = 1961 - 21551/11. Find the common denominator of (-1)/(-4) - (0 + 2) and m.
44
Let a(z) = 2*z**2 - 4*z - 4. Calculate the smallest common multiple of 7 and a(-2).
84
Let k be 4/14 - (-4)/(-14). Suppose -y - 3*y + 8 = k. What is the smallest common multiple of 9 and y?
18
Let g be 37/4 + (-1)/4. Let d be (-1)/((-15)/g + 2). What is the lowest common multiple of (-3)/(((-9)/(-2))/d) and 4?
4
Find the common denominator of 925/10*(-2)/40 and 101/6.
24
Calculate the common denominator of (2/30)/(4/74) and (-62)/(-6)*(-3)/(-20).
60
Let d = 9 - 6. Suppose -d*a + 8 = -10. What is the smallest common multiple of a and 7?
42
Suppose -z = -4*l + 13, 6*l - 21 = 3*l - 3*z. Calculate the least common multiple of l and 2.
4
Let p = -4051/8 + 508. Let q be ((-2)/(-3))/(1/(-3)). Calculate the common denominator of q + 1 - 249/(-18) and p.
24
Let b(d) = -d**3 + d**2 + d + 5. Let w be b(0). Suppose 0 = -w*u + 3*u. Find the common denominator of -65/14 and u + (-30)/(-32) + -1.
112
Find the common denominator of (-4)/5 - 332/110 and 11/5.
55
Let h(f) = f**3 + 6*f**2 + 2*f - 1. Let g be h(-6). Let b = g - -4. Let r(q) = q**3 + 9*q**2 + q + 13. What is the smallest common multiple of r(b) and 8?
8
Let p(g) be the third derivative of -5*g**4/12 - g**3/3 - 2*g**2. Calculate the smallest common multiple of p(-2) and (-1 + 13)/(-3 + 4).
36
Let m = -40505/6 + 6772. Calculate the common denominator of m and 140/(-30)*21/(-10).
30
Suppose d - 8 = 51. Find the common denominator of 2 + 1 + d/2 and (-9)/(-6) - ((-1275)/42)/5.
14
Find the common denominator of 71/18 and (-6)/105*(-230)/8.
126
Let i = 1844 + -18461/10. What is the common denominator of i and 17/18?
90
Find the common denominator of 85/8 and 3 + 1/(60/(-129)) + 3.
40
Let a = 33147/8 - 4138. Find the common denominator of a and 37/28.
56
Let s = -2 + 6. Suppose -s*f + 5*w + 1 + 26 = 0, -f + 2*w = -6. Calculate the least common multiple of 11 and f.
88
Suppose 10*u - 15 = 5*u. What is the smallest common multiple of u and 4?
12
Let p = 340959/56 + -6088. What is the common denominator of p and 43/22?
616
Suppose -c - 4*c = -2*p + 18, 0 = 5*c + 10. What is the least common multiple of p and 1/(182/35 - 5)?
20
Let c = 22729/6 + -3801. Find the common denominator of c and 29/8.
24
Find the common denominator of -6/5 and (-2)/24*(259 + -9).
30
Suppose -4*p = -7*p - 126. Find the common denominator of -69/10 and p.
10
Let d = -125/369 + -32995/16974. Find the common denominator of d and -43/24.
552
Let q(w) = w**2 - 2*w + 3. Suppose 5*t = -25, 3*z - t + 9 = 29. Suppose 0 = o - z*o + 20. Calculate the smallest common multiple of 12 and q(o).
36
Suppose -5*b = n - b + 11, -3*n + 9 = -2*b. Let t = 8 - n. Calculate the least common multiple of t and 9.
63
Let s = 795 - 2981. Let g = 15276/7 + s. Calculate the common denominator of 0 + 0 + 146/8 and g.
28
Suppose -2*v - 3*v - 40 = 0. Let r = 6 + -11. Let w = r - v. Calculate the smallest common multiple of w and 10.
30
Suppose 0*n - 5*n = -25. Calculate the smallest common multiple of (-16)/(-20)*(-5)/(-2) and n.
10
Let r be 9/(-1141)*616258/636. Let p = -1/8639 - r. Let l = 23371/522 + -1126/29. Calculate the common denominator of l and p.
126
Let m(v) = -v**2 - 7*v - 15. Let k be m(-8). Calculate the common denominator of 17/2 and (15/21)/(-5)*k.
14
Suppose 5*m - 3*m = 4. Find the common denominator of 67/2 and 63/(-30)*15/m.
4
Let h be (-53805593)/5268 + (-1)/3. Let a = -10214 - h. Let u = a - 11407/12292. Calculate the common denominator of u and 43/4.
28
Let v = -9911 + 158509/16. What is the common denominator of v and -49/118?
944
Suppose -2*t + t + 3 = 0. Let o be (7 - -1) + (t - 1). Suppose m - 3*m = -o. What is the lowest common multiple of 2 and m?
10
Suppose -5*a = -3*x, -5*x + 22 = -0*a - a. Let r = 0 - -2. Suppose -p = g - 6*g + 4, r*p - x*g = 2. What is the least common multiple of p and 7?
42
Suppose n = 4*n + 33. Let a = n - -5. What is the lowest common multiple of 6 and (8/a)/((-16)/24)?
6
Suppose -l = -2*l + 4*x - 14, -4*l - 11 = -x. What is the smallest common multiple of (5 + -13)*2/l and 4?
8
Let m = -7/6 - -7/18. Let o = -18763/6 - -3138. Find the common denominator of m and o.
18
Let z = 347089/22 - 15774. Suppose -3*i + 0*i = 594. What is the common denominator of (i/8)/(6 - 1) and z?
220
Let p = -7655 - -122433/16. Find the common denominator of 107/14 and p.
112
Let q be 16/(-10)*25/(-10). Let x = -2 + q. What is the least common multiple of (-33)/(-4) + x/(-8) and 12?
24
Let r = -57179/20 + 2864. Find the common denominator of -59/8 and r.
40
Suppose 4*n = n + 12. Let h(c) = -c**3 + 5*c**2 - 2. Calculate the smallest common multiple of 22 and h(n).
154
Let k(y) = 2*y**2 + y. Let m(x) = x**3 + 2*x**2 - 4*x. Suppose -5*j = 1 + 14. Calculate the least common multiple of m(j) and k(-1).
3
Let k(q) = q - 1. Let x be k(1). Let d = 10 + x. Calculate the lowest common multiple of d and 7.
70
Let d(g) = 9*g**2 - 6*g - 11. Let p(y) = 14*y**2 - 9*y - 17. Let c(w) = 8*d(w) - 5*p(w). What is the lowest common multiple of c(-2) and (-1)/(-1*2/12)?
66
Let k(t) = -t - 15. What is the smallest common multiple of 9 and k(-19)?
36
Suppose -5*l + 4*h = -42, 2*l = h - 5*h. Calculate the smallest common multiple of 9 and l.
18
Let d = -11 + 23. Suppose -1 - 17 = u. What is the lowest common multiple of d and (-4)/u - 88/(-9)?
60
Suppose 6*b + 40 = 4*b. Let v = b + 24. Calculate the lowest common multiple of 11 and v.
44
Let o(y) = 2*y - 4. Calculate the lowest common multiple of (0 - (0 - 2)) + 8 and o(4).
20
Let j be 2/4 - (-6)/4. Let u(w) = 8 - 5*w**2 - j*w + 4*w**2 + 9*w. What is the least common multiple of u(6) and 18?
126
Suppose c = 3*z + 38, 3*z - 48 = -c + 20. Let l be (c/(-30))/((-4)/10). Let u = l - 7. What is the common denominator of u and -77/18?
36
Suppose 3 = 5*w - 7. Let s = 0 + w. What is the least common multiple of 10 and s?
10
Let g = 148/15 + -4579/420. Calculate the common denominator of g and 67/48.
336
Suppose 2*a + 150 = 3*x, x - 153 = -2*x + a. Calculate the lowest common multiple of x and 12.
156
Suppose -2*r + 15 = -3*r - 3*t, -2*r = 5*t + 27. Calculate the common denominator of (18/(-21))/(4/22) and (-429)/(-135) - r/10.
63
Suppose 2*t - 5 = -1. Calculate the common denominator of 1/t*52 | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 288392.
2, 13, 47, 59
What are the prime factors of 11083496?
2, 1385437
List the prime factors of 3857835.
3, 5, 257189
List the prime factors of 89705.
5, 7, 11, 233
List the prime factors of 245067.
3, 81689
What are the prime factors of 19449?
3, 2161
List the prime factors of 27429.
3, 41, 223
List the prime factors of 2713162.
2, 19, 71399
List the prime factors of 34351.
34351
What are the prime factors of 4431976?
2, 73, 7589
List the prime factors of 4885089.
3, 11, 179, 827
What are the prime factors of 7425948?
2, 3, 137, 4517
What are the prime factors of 238700?
2, 5, 7, 11, 31
List the prime factors of 4463529.
3, 7, 43, 4943
What are the prime factors of 133930?
2, 5, 59, 227
List the prime factors of 6404409.
3, 11, 5881
List the prime factors of 1546705.
5, 83, 3727
What are the prime factors of 1348?
2, 337
List the prime factors of 94112.
2, 17, 173
What are the prime factors of 1986747?
3, 7, 89, 1063
What are the prime factors of 6288123?
3, 751, 2791
What are the prime factors of 288431?
11, 13, 2017
List the prime factors of 4462590.
2, 3, 5, 11, 13523
List the prime factors of 431535.
3, 5, 13, 2213
What are the prime factors of 2257042?
2, 1128521
What are the prime factors of 160713?
3, 7, 2551
What are the prime factors of 21816983?
439, 49697
What are the prime factors of 793016?
2, 7, 17
What are the prime factors of 469149?
3, 17, 9199
List the prime factors of 638079.
3, 13, 16361
What are the prime factors of 28064790?
2, 3, 5, 13, 17, 83
What are the prime factors of 570993?
3, 190331
List the prime factors of 307242.
2, 3, 13, 101
List the prime factors of 2331628.
2, 13, 44839
What are the prime factors of 364231?
7, 61, 853
List the prime factors of 4368774.
2, 3, 728129
List the prime factors of 2942849.
7, 13, 73, 443
What are the prime factors of 5320222?
2, 23, 115657
List the prime factors of 23089841.
229, 100829
List the prime factors of 3948675.
3, 5, 17, 19, 163
List the prime factors of 1277349.
3, 425783
List the prime factors of 130586.
2, 65293
List the prime factors of 9904547.
9904547
What are the prime factors of 1236508?
2, 7, 13, 43, 79
What are the prime factors of 967911?
3, 7, 46091
List the prime factors of 2361914.
2, 1180957
List the prime factors of 1173628.
2, 59, 4973
List the prime factors of 136392.
2, 3, 5683
List the prime factors of 652665.
3, 5, 13, 3347
List the prime factors of 21582718.
2, 10791359
List the prime factors of 17424014.
2, 17, 643, 797
What are the prime factors of 178980?
2, 3, 5, 19, 157
What are the prime factors of 345178?
2, 172589
What are the prime factors of 1023639?
3, 83, 4111
What are the prime factors of 180918?
2, 3, 19, 23
List the prime factors of 154319.
11, 14029
What are the prime factors of 531698?
2, 83, 3203
What are the prime factors of 3265930?
2, 5, 326593
List the prime factors of 7963922.
2, 17, 29, 41, 197
List the prime factors of 13030687.
17, 766511
What are the prime factors of 2293708?
2, 17, 89, 379
List the prime factors of 2771811.
3, 7, 43997
What are the prime factors of 150647?
7, 21521
List the prime factors of 198783.
3, 13, 1699
What are the prime factors of 86475?
3, 5, 1153
List the prime factors of 513581.
509, 1009
List the prime factors of 4330263.
3, 7, 206203
What are the prime factors of 1003106?
2, 13, 41, 941
List the prime factors of 5422693.
727, 7459
List the prime factors of 20020843.
43, 563, 827
List the prime factors of 2058095.
5, 13, 31663
List the prime factors of 1641507.
3, 7, 78167
List the prime factors of 27897.
3, 17, 547
What are the prime factors of 73768?
2, 9221
What are the prime factors of 20715?
3, 5, 1381
What are the prime factors of 68577?
3, 22859
List the prime factors of 1030010.
2, 5, 103001
List the prime factors of 2954733.
3, 984911
What are the prime factors of 27156280?
2, 5, 678907
What are the prime factors of 286736?
2, 17921
List the prime factors of 1866609.
3, 207401
What are the prime factors of 2403391?
53, 137, 331
What are the prime factors of 17509906?
2, 19, 460787
List the prime factors of 1006958.
2, 409, 1231
What are the prime factors of 562874?
2, 13, 21649
List the prime factors of 6661543.
7, 951649
What are the prime factors of 8877798?
2, 3, 493211
List the prime factors of 3432.
2, 3, 11, 13
List the prime factors of 68572.
2, 7, 31, 79
What are the prime factors of 1081275?
3, 5, 13, 1109
List the prime factors of 59159.
59159
List the prime factors of 910203.
3, 7, 89, 487
What are the prime factors of 156741?
3, 13, 4019
What are the prime factors of 757290?
2, 3, 5, 25243
List the prime factors of 382031.
13, 29387
What are the prime factors of 12451442?
2, 61, 102061
What are the prime factors of 248826?
2, 3, 113, 367
List the prime factors of 7143.
3, 2381
List the prime factors of 3498547.
13, 191, 1409
List the prime factors of 287852.
2, 71963
List the prime factors of 19435727.
19, 1022933
List the prime factors of 3920341.
829, 4729
List the prime factors of 652073.
23, 28351
List the prime factors of 207682.
2, 103841
List the prime factors of 1668689.
11, 29, 5231
What are the prime factors of 17455112?
2, 2181889
What are the prime factors of 238120?
2, 5, 5953
List the prime factors of 459712.
2, 11, 653
What are the prime factors of 331677?
3, 137, 269
What are the prime factors of 230847?
3, 76949
List the prime factors of 1767750.
2, 3, 5, 2357
List the prime factors of 450744.
2, 3, 7, 2683
What are the prime factors of 33275614?
2, 223, 74609
What are the prime factors of 14096501?
107, 131743
List the prime factors of 3198157.
79, 40483
What are the prime factors of 30925?
5, 1237
List the prime factors of 5432982.
2, 3, 905497
List the prime factors of 4023442.
2, 53, 37957
List the prime factors of 8939389.
2003, 4463
List the prime factors of 698337.
3, 31, 2503
List the prime factors of 142004.
2, 131, 271
What are the prime factors of 6394038?
2, 3, 7, 152239
List the prime factors of 2883528.
2, 3, 29, 1381
What are the prime factors of 17171488?
2, 536609
List the prime factors of 172632.
2, 3, 7193
List the prime factors of 6523662.
2, 3, 79, 13763
List the prime factors of 526343.
53, 9931
What are the prime factors of 225021?
3, 107, 701
What are the prime factors of 785319?
3, 261773
List the prime factors of 1524483.
3, 113, 1499
List the prime factors of 325943.
325943
List the prime factors of 1110159.
3, 41117
List the prime factors of 132290.
2, 5, 13229
List the prime factors of 5575242.
2, 3, 929207
What are the prime factors of 250311?
3, 83437
What are the prime factors of 329362?
2, 11, 1361
What are the prime factors of 4023663?
3, 7, 29, 6607
What are the prime factors of 1610062?
2, 805031
What are the prime factors of 141640?
2, 5, 3541
What are the prime factors of 665098?
2, 7, 47507
What are the prime factors of 767292?
2, 3, 43, 1487
What are the prime factors of 2815784?
2, 29, 53, 229
What are the prime factors of 47876?
2, 11969
List the prime factors of 38084.
2, 9521
What are the prime factors of 13252320?
2, 3, 5, 9203
List the prime factors of 4994167.
1231, 4057
List the prime factors of 25943181.
3, 11, 229, 3433
What are the prime factors of 7056945?
3, 5, 7, 43, 521
List the prime factors of 565702.
2, 282851
What are the prime factors of 92652?
2, 3, 7, 1103
What are the prime factors of 4385695?
5, 317, 2767
What are the prime factors of 11973191?
11973191
List the prime factors of 295878.
2, 3, 11, 4483
What are the prime factors of 9082224?
2, 3, 59, 1069
What are the prime factors of 289906?
2, 43, 3371
What are the prime factors of 3184008?
2, 3, 132667
What are the prime factors of 3441?
3, 31, 37
List the prime factors of 3286561.
3286561
What are the prime factors of 1380055?
5, 276011
List the prime factors of 32091106.
2, 16045553
What are the prime factors of 883951?
43, 61, 337
What are the prime factors of 237955?
5, 47591
What are the prime factors of 222356?
2, 55589
List the prime factors of 67477.
67477
What are the prime factors of 1693182?
2, 3, 59, 4783
List the prime factors of 722264.
2, 137, 659
List the prime factors of 4251728.
2, 13, 20441
List the prime factors of 514556.
2, 7, 17, 23, 47
List the prime factors of 176261.
176261
List the | {
"pile_set_name": "DM Mathematics"
} |
from ooooooooo. Give prob of sequence oooo.
1
Two letters picked without replacement from {a: 2, e: 5, i: 2, p: 1, l: 4}. Give prob of sequence pl.
2/91
Calculate prob of sequence qx when two letters picked without replacement from xyxrqiuq.
1/14
Calculate prob of sequence ppz when three letters picked without replacement from {p: 9, u: 2, z: 7}.
7/68
Calculate prob of sequence xyy when three letters picked without replacement from ydxydyxddy.
1/30
What is prob of sequence jne when three letters picked without replacement from {o: 4, j: 9, n: 1, e: 1, l: 3}?
1/544
Calculate prob of sequence zz when two letters picked without replacement from nnnnnznnznnn.
1/66
What is prob of sequence hs when two letters picked without replacement from {s: 2, q: 2, c: 1, h: 1, k: 1}?
1/21
Calculate prob of sequence ef when two letters picked without replacement from eff.
1/3
Three letters picked without replacement from {j: 7, i: 1, f: 6, e: 6}. What is prob of sequence fjj?
7/190
Four letters picked without replacement from {j: 4, i: 5, r: 1}. Give prob of sequence jrrj.
0
Two letters picked without replacement from ujjjjmjmuuujggjj. Give prob of sequence mm.
1/120
What is prob of sequence bt when two letters picked without replacement from {c: 5, i: 4, y: 1, b: 6, t: 4}?
6/95
Four letters picked without replacement from ewawaaaeb. Give prob of sequence eaae.
1/126
Two letters picked without replacement from {z: 5, g: 3, k: 6, e: 2, c: 2}. Give prob of sequence gk.
1/17
Two letters picked without replacement from {n: 1, e: 2, g: 2, q: 1}. Give prob of sequence ng.
1/15
What is prob of sequence lll when three letters picked without replacement from {l: 4, b: 6}?
1/30
What is prob of sequence fd when two letters picked without replacement from ssdeltfe?
1/56
What is prob of sequence mf when two letters picked without replacement from mmfe?
1/6
What is prob of sequence ytz when three letters picked without replacement from ztyvy?
1/30
Two letters picked without replacement from {d: 4, v: 1, h: 3, a: 2, i: 2}. Give prob of sequence vi.
1/66
What is prob of sequence bvvb when four letters picked without replacement from vvvvvvbvb?
1/36
Calculate prob of sequence gj when two letters picked without replacement from {g: 2, j: 1}.
1/3
Calculate prob of sequence bh when two letters picked without replacement from {k: 1, z: 1, u: 1, h: 1, b: 1}.
1/20
Four letters picked without replacement from {o: 2, t: 2, h: 1, p: 9, f: 3}. Give prob of sequence tpfo.
9/4760
Four letters picked without replacement from {w: 2, c: 2, k: 1, i: 4, v: 1, q: 5}. What is prob of sequence cqik?
1/819
Three letters picked without replacement from rsrwswwslrwssls. Give prob of sequence wwl.
4/455
What is prob of sequence qqt when three letters picked without replacement from {t: 1, q: 5, k: 1, p: 3, u: 1}?
2/99
Calculate prob of sequence pss when three letters picked without replacement from {s: 6, p: 3, k: 8}.
3/136
Three letters picked without replacement from {x: 1, u: 2, q: 1, p: 3}. Give prob of sequence qux.
1/105
Two letters picked without replacement from {m: 1, v: 1, i: 1, j: 3, a: 4, t: 2}. What is prob of sequence ji?
1/44
Four letters picked without replacement from cbbbbbcccbbbbb. Give prob of sequence bbcc.
45/1001
Three letters picked without replacement from fkkfbkkkkkokkkrkrf. Give prob of sequence rbk.
11/2448
Three letters picked without replacement from {s: 1, v: 1, k: 3, i: 8, a: 4}. What is prob of sequence aik?
2/85
Calculate prob of sequence qd when two letters picked without replacement from {l: 2, k: 2, f: 1, q: 1, d: 1, z: 2}.
1/72
Two letters picked without replacement from nbbbbbbb. What is prob of sequence bb?
3/4
Three letters picked without replacement from {x: 6, i: 3, k: 8}. Give prob of sequence kxk.
7/85
Four letters picked without replacement from {g: 4, x: 4, t: 1, k: 1}. What is prob of sequence tgxg?
1/105
Four letters picked without replacement from {u: 1, q: 1, v: 2, x: 1}. Give prob of sequence xuqv.
1/60
Two letters picked without replacement from {a: 5, i: 1, n: 3, t: 1, m: 2}. What is prob of sequence na?
5/44
Calculate prob of sequence rge when three letters picked without replacement from eeregrgr.
3/56
Calculate prob of sequence lz when two letters picked without replacement from lllzlcz.
4/21
Two letters picked without replacement from zdzlzldzzdzddz. Give prob of sequence ll.
1/91
Three letters picked without replacement from ololllllbloolbool. What is prob of sequence blo?
9/340
What is prob of sequence sqf when three letters picked without replacement from bswfq?
1/60
Four letters picked without replacement from vkkvggcgkggg. Give prob of sequence vkkk.
1/990
Calculate prob of sequence nga when three letters picked without replacement from wwwggawwwannbab.
2/455
What is prob of sequence xusp when four letters picked without replacement from tudtxsxxtdupttusdtxx?
1/3876
Calculate prob of sequence qgq when three letters picked without replacement from {g: 2, q: 8, c: 9}.
56/2907
Calculate prob of sequence nnkk when four letters picked without replacement from {n: 4, k: 3}.
3/35
Three letters picked without replacement from {c: 1, f: 4, d: 1, z: 2}. Give prob of sequence cff.
1/28
What is prob of sequence bq when two letters picked without replacement from {q: 5, v: 7, b: 3, u: 4}?
5/114
Four letters picked without replacement from ffffpphtkfttfffhf. What is prob of sequence fthf?
9/1190
Three letters picked without replacement from zlm. Give prob of sequence mlz.
1/6
Calculate prob of sequence ba when two letters picked without replacement from {a: 2, x: 2, b: 9}.
3/26
What is prob of sequence xia when three letters picked without replacement from {t: 3, b: 3, s: 5, x: 6, a: 2, i: 1}?
1/570
Three letters picked without replacement from {w: 1, k: 2}. Give prob of sequence kkw.
1/3
Three letters picked without replacement from {y: 4, w: 3, i: 2, z: 3, a: 4, m: 4}. What is prob of sequence iya?
4/855
Calculate prob of sequence mqq when three letters picked without replacement from qmm.
0
What is prob of sequence ppl when three letters picked without replacement from {t: 2, p: 1, l: 1}?
0
Three letters picked without replacement from fojogjgjjjjijgffgf. Give prob of sequence fff.
1/204
Three letters picked without replacement from {h: 2, i: 4, j: 4, v: 1, a: 2, e: 1}. What is prob of sequence iaj?
4/273
Calculate prob of sequence vlll when four letters picked without replacement from {l: 4, h: 1, j: 1, w: 1, v: 3, e: 2}.
1/165
Two letters picked without replacement from {t: 1, v: 10, d: 2, j: 2, k: 5}. What is prob of sequence tj?
1/190
Three letters picked without replacement from {p: 10, l: 1, m: 1, i: 1}. What is prob of sequence iml?
1/1716
Calculate prob of sequence wu when two letters picked without replacement from {h: 5, u: 2, w: 2}.
1/18
What is prob of sequence jdd when three letters picked without replacement from {e: 4, m: 6, j: 1, d: 4}?
2/455
Calculate prob of sequence jd when two letters picked without replacement from jdj.
1/3
Two letters picked without replacement from pwggggwrprrg. What is prob of sequence gw?
5/66
Calculate prob of sequence ff when two letters picked without replacement from {n: 1, f: 2, x: 1}.
1/6
Four letters picked without replacement from aayyayyyva. Give prob of sequence ayyv.
1/63
Calculate prob of sequence rr when two letters picked without replacement from jrraa.
1/10
Three letters picked without replacement from qffqiqgqqqifi. Give prob of sequence ifi.
3/286
Calculate prob of sequence usbs when four letters picked without replacement from bussububu.
1/126
Two letters picked without replacement from isu. What is prob of sequence su?
1/6
What is prob of sequence uagy when four letters picked without replacement from {a: 1, u: 4, y: 1, r: 1, g: 2}?
1/378
Two letters picked without replacement from aaayy. What is prob of sequence aa?
3/10
What is prob of sequence kx when two letters picked without replacement from xkx?
1/3
What is prob of sequence ukuu when four letters picked without replacement from {k: 3, o: 6, u: 4}?
3/715
Calculate prob of sequence xx when two letters picked without replacement from {x: 7}.
1
Two letters picked without replacement from {u: 9, n: 2}. What is prob of sequence un?
9/ | {
"pile_set_name": "DM Mathematics"
} |
lacement from tsjssstjsssj. Give prob of sequence tjs.
7/220
Calculate prob of sequence jjjj when four letters picked without replacement from {j: 6, p: 2}.
3/14
Four letters picked without replacement from bvnsnbmv. Give prob of sequence mbvv.
1/420
Three letters picked without replacement from bobhm. What is prob of sequence mho?
1/60
Two letters picked without replacement from {f: 2, z: 1, r: 1, e: 1}. Give prob of sequence zr.
1/20
What is prob of sequence ii when two letters picked without replacement from {i: 10, x: 5, p: 4}?
5/19
Four letters picked without replacement from rtosrrocssscqcr. What is prob of sequence sroc?
4/1365
Calculate prob of sequence cj when two letters picked without replacement from jccj.
1/3
What is prob of sequence iiiv when four letters picked without replacement from irrvvvbviiibbvi?
5/546
Four letters picked without replacement from {q: 2, h: 4, r: 1, p: 2, f: 3}. What is prob of sequence qfrq?
1/1980
Calculate prob of sequence tt when two letters picked without replacement from oototjttoojt.
5/33
Four letters picked without replacement from {p: 1, f: 2, t: 1, x: 2, z: 2, o: 7}. What is prob of sequence fozx?
1/585
Three letters picked without replacement from {z: 2, p: 4, u: 1, k: 1, i: 1}. Give prob of sequence kpu.
1/126
Three letters picked without replacement from mzzzzzzzzmzz. What is prob of sequence mmz?
1/66
Calculate prob of sequence srws when four letters picked without replacement from ewsswwsrsxfwxswxewxe.
1/969
Three letters picked without replacement from {t: 8, h: 5}. Give prob of sequence ttt.
28/143
What is prob of sequence mm when two letters picked without replacement from {p: 1, m: 2}?
1/3
What is prob of sequence vv when two letters picked without replacement from {n: 2, k: 2, c: 3, v: 2}?
1/36
What is prob of sequence kko when three letters picked without replacement from {k: 3, o: 2}?
1/5
What is prob of sequence zg when two letters picked without replacement from bzzhhzzzzgzzz?
3/52
Three letters picked without replacement from {y: 16, o: 4}. Give prob of sequence ooo.
1/285
What is prob of sequence zg when two letters picked without replacement from {e: 1, z: 1, d: 1, g: 1, v: 5}?
1/72
Three letters picked without replacement from {x: 2, l: 3, f: 2, a: 5}. Give prob of sequence all.
1/44
Three letters picked without replacement from {v: 2, o: 6, w: 2, d: 1}. Give prob of sequence vww.
2/495
Calculate prob of sequence df when two letters picked without replacement from dfddtfqnd.
1/9
Two letters picked without replacement from yyxxyyy. Give prob of sequence xy.
5/21
Three letters picked without replacement from {n: 2, q: 3, a: 2, h: 1, f: 3, o: 1}. Give prob of sequence hno.
1/660
What is prob of sequence vv when two letters picked without replacement from {v: 7, i: 2}?
7/12
What is prob of sequence pppp when four letters picked without replacement from {p: 5, s: 1, q: 3, r: 11}?
1/969
Two letters picked without replacement from balllabalbllllllll. What is prob of sequence lb?
2/17
Four letters picked without replacement from kkiqkkqqiikkkikikqik. Give prob of sequence iiii.
1/323
Two letters picked without replacement from rerrer. Give prob of sequence rr.
2/5
Four letters picked without replacement from {d: 9, f: 3}. What is prob of sequence fddd?
7/55
What is prob of sequence vii when three letters picked without replacement from {i: 2, v: 1}?
1/3
Two letters picked without replacement from {s: 1, r: 1, i: 1, z: 1, q: 1, b: 2}. Give prob of sequence is.
1/42
What is prob of sequence iv when two letters picked without replacement from hevteeheeiehhtii?
1/80
Calculate prob of sequence ps when two letters picked without replacement from smdpppmsssssf.
3/26
What is prob of sequence bm when two letters picked without replacement from bglhllmggggglggmmmml?
1/76
Calculate prob of sequence xxj when three letters picked without replacement from jjjjxjjxjxjjjjxjjjj.
10/323
Four letters picked without replacement from {m: 9, s: 9}. Give prob of sequence sssm.
21/340
What is prob of sequence llb when three letters picked without replacement from tnllllllwnblltnwl?
3/170
What is prob of sequence qtn when three letters picked without replacement from bntqbnhbqtbbqq?
2/273
What is prob of sequence fiix when four letters picked without replacement from {i: 5, x: 2, f: 5}?
5/297
Two letters picked without replacement from xtxttxxxxxxtttttxxtt. What is prob of sequence xt?
5/19
Two letters picked without replacement from dobwzxd. What is prob of sequence dd?
1/21
Two letters picked without replacement from {c: 1, r: 4, f: 2}. What is prob of sequence cr?
2/21
Four letters picked without replacement from glxxgglgglxgl. What is prob of sequence glgg?
4/143
What is prob of sequence ujuj when four letters picked without replacement from {v: 5, j: 3, u: 6, g: 1}?
1/182
Two letters picked without replacement from rrrrrrrrr. Give prob of sequence rr.
1
Three letters picked without replacement from rrssasrssarr. What is prob of sequence ras?
5/132
What is prob of sequence aa when two letters picked without replacement from {b: 5, q: 5, a: 2}?
1/66
Four letters picked without replacement from {y: 2, n: 1, h: 8, o: 2, u: 2}. Give prob of sequence hyun.
4/4095
Calculate prob of sequence rz when two letters picked without replacement from {z: 4, r: 3, x: 1}.
3/14
What is prob of sequence ppp when three letters picked without replacement from ppppppppp?
1
Calculate prob of sequence vv when two letters picked without replacement from vvevevv.
10/21
What is prob of sequence njn when three letters picked without replacement from {x: 1, l: 2, i: 1, n: 5, j: 1}?
1/36
Two letters picked without replacement from {y: 5, q: 7}. What is prob of sequence yy?
5/33
Three letters picked without replacement from oppprpaapu. Give prob of sequence arp.
1/72
Four letters picked without replacement from wwyywywwywfwwwffww. Give prob of sequence wwff.
11/1224
What is prob of sequence slqq when four letters picked without replacement from pssslsqxpqxssx?
1/2002
Calculate prob of sequence troo when four letters picked without replacement from {r: 8, o: 4, t: 2}.
8/1001
Calculate prob of sequence hjqj when four letters picked without replacement from jqjhjqjmja.
1/126
Two letters picked without replacement from {c: 1, r: 1, e: 1, z: 1, l: 1, j: 2}. Give prob of sequence re.
1/42
What is prob of sequence is when two letters picked without replacement from {s: 2, i: 16}?
16/153
Three letters picked without replacement from {d: 2, k: 1, j: 4, o: 1, h: 3}. Give prob of sequence hoj.
2/165
Four letters picked without replacement from {x: 4, e: 6, n: 2, g: 1}. What is prob of sequence nxen?
2/715
Two letters picked without replacement from {q: 4, b: 2, c: 1, w: 1, u: 3}. What is prob of sequence uw?
3/110
Calculate prob of sequence tb when two letters picked without replacement from burrtdbbb.
1/18
What is prob of sequence rjz when three letters picked without replacement from scjcrcsrrcjjszcsscc?
1/646
What is prob of sequence hq when two letters picked without replacement from vvvkqvqkh?
1/36
What is prob of sequence vk when two letters picked without replacement from akarhachavhh?
1/132
Three letters picked without replacement from kkkekke. What is prob of sequence kek?
4/21
Calculate prob of sequence jjjj when four letters picked without replacement from jejjjjjjejjj.
14/33
Three letters picked without replacement from uooqaod. What is prob of sequence aqu?
1/210
Calculate prob of sequence su when two letters picked without replacement from ouussmssjm.
4/45
What is prob of sequence vi when two letters picked without replacement from kivxomv?
1/21
Three letters picked without replacement from otottttttttttto. Give prob of sequence oot.
12/455
Calculate prob of sequence pp when two letters picked without replacement from {i: 3, f: 4, p: 4}.
6/55
What is prob of sequence dux when three letters picked without replacement from {a: 1, u: 3, x: 1, d: 5}?
1/48
Three letters picked without replacement from {c: 4, n: 5, u: 8}. Give prob of sequence ccc.
1/170
What is prob of sequence qjvj when four letters picked without replacement from {q: 8, x: 2, v: 2, j: 6}?
1/153
Three letters picked without replacement from {j: 2, p: 2, k: 2, b: 1, u: | {
"pile_set_name": "DM Mathematics"
} |
368 = 34*w. Sort 6, w, -18, -10 in increasing order.
-18, -10, w, 6
Let n = -782 + 679. Let c = 461.7 - 565. Let r = n - c. Put 2, -4, 1/9, r in decreasing order.
2, r, 1/9, -4
Suppose -105*f = -15 - 81 - 219. Sort 4, -1, f, -87 in decreasing order.
4, f, -1, -87
Let m(b) = 23*b - 770. Let v be m(33). Let i(j) = -j**2 - 6*j + 2. Let c be i(-6). Put -0.1, 1, v, c in descending order.
c, 1, -0.1, v
Let a(u) = -4*u**2 + 2*u - 1. Let l be a(1). Let c = 27 - 23. Let x be (-153)/(-9) - 9 - 7. Sort c, 3, x, l in ascending order.
l, x, 3, c
Let a = 529 - 528.384. Let b = -1.116 + a. Put 2/11, 4, 0, b in ascending order.
b, 0, 2/11, 4
Suppose 0 = 4*w - 300 - 40. Suppose -27*h = 29*h + 49*h - 210. Sort -2, w, h in decreasing order.
w, h, -2
Let o = -0.03 + 6.13. Let t = 721 + -727. Let w = o + t. Put w, -2, 3 in decreasing order.
3, w, -2
Let x = -0.3 - -0.4. Suppose 0 = 3*i - b - 5, -71 = -3*i + 4*b - 42. Sort -0.5, i, x, 2/3.
i, -0.5, x, 2/3
Let l = 11 + -16. Suppose 0 = -3*n - 3*d - 72, 2*n - 5*d - 12 = 3*n. Let t = n + 30. Put t, 0, l, -3 in decreasing order.
t, 0, -3, l
Let h = -790 - -794. Suppose -2*f + h*f = -4*b - 6, 3*f - 5*b = -20. Put f, 22, -3 in decreasing order.
22, -3, f
Suppose -5*n + y = 327 - 308, -13 = 2*n - y. Sort -5, -699, n.
-699, -5, n
Suppose -j + 26 = 4*m, 0 = 4*j + 2*m - 47 - 29. Suppose 16*q + 46 + j = 0. Sort q, 33, 3 in increasing order.
q, 3, 33
Suppose 0 = -5*r - 4*y + 6, y + 9 = 14*r - 10*r. Sort -4, r, -1/141, 1 in increasing order.
-4, -1/141, 1, r
Let l(k) = 1900*k + 11403. Let o be l(-6). Let y be 5 + (-1)/1*1. Sort -2, y, o.
-2, o, y
Let o be (-29 + 30)*(9 - -2). Let z be 32 - ((-560)/176 + 2/o). Sort 2, z, -2, -3 in descending order.
z, 2, -2, -3
Suppose 14*n - 16*n = 8. Let j be ((-6)/n)/((-27)/6 + 6). Let k be (-24 + 24)/(-1 - 0). Sort k, 4, j.
k, j, 4
Let y = -182 + 182.5. Suppose -m = 3*g + 20, -2*m + 3*m + 5 = 0. Put y, g, -4, 5/4 in ascending order.
g, -4, y, 5/4
Let w(d) = 3*d**3 - 2*d + 1. Let k be w(1). Let o = -0.029307 - -0.019307. Let f = 0.1 + 0.1. Sort o, k, 2/17, f in descending order.
k, f, 2/17, o
Suppose -4*x = -b - 6, -4*x - 3 = 7*b - 57. Sort -3, x, -0.0848, -0.2, -1/4 in decreasing order.
x, -0.0848, -0.2, -1/4, -3
Let g(q) = q**3 - 5*q**2 + 5*q - 3. Let y be g(4). Suppose -5*s + y = -4. Let w(t) = -11*t - 282. Let z be w(-26). Put s, z, -7 in increasing order.
-7, s, z
Let y(d) = d**3 + 25*d**2 + 26*d + 48. Let p be y(-24). Suppose -12*c = -8*c - k + 11, c + 2*k - 4 = p. Let v = -13 - -8. Sort v, c, 5 in ascending order.
v, c, 5
Suppose 0 = 30*o - 34*o - 568. Let i = -145 - o. Sort i, -2, 3/2 in decreasing order.
3/2, -2, i
Suppose 29642 = 5*r - 34299 + 14476. Sort 5, r, 1 in increasing order.
1, 5, r
Let b = -0.2 - 0.8. Let p be 24/10*385/(-308)*160/6. Sort 3/7, p, b in increasing order.
p, b, 3/7
Suppose -r + 13 = -161*q + 165*q, 41 = -4*q + 5*r. Sort -3, q, -4, 496 in descending order.
496, q, -3, -4
Let s = -415 + 373. Sort s, 59, -5, 4 in descending order.
59, 4, -5, s
Let k(r) = -38*r**3 + r**2 - 8*r - 8. Let i be k(-1). Let y(t) = t**3 - 38*t**2 - 38*t - 49. Let x be y(i). Sort 7, -2, x in ascending order.
x, -2, 7
Suppose -25 = -5*g + 5*j, 0 = 3*g - 2*j - 3*j - 17. Suppose -988*s + 992*s + 84 = -4*v, -2*s - 4*v - 40 = 0. Put -1, s, g, 0 in descending order.
g, 0, -1, s
Let g = 22 - 177/8. Let j = -367785/7 + 52541. Sort -5/11, 0.04, g, j in ascending order.
-5/11, g, 0.04, j
Let s = 7 + -3. Let t = 52 + -47. Let d be 8/((-2)/4*(t - 1)). Put -5, s, d in increasing order.
-5, d, s
Let k = -1295 + 1291.3. Sort 0, 1, k in increasing order.
k, 0, 1
Let w = -33.4674 - 2.2326. Sort -2, 1, w, -5, 1/4 in descending order.
1, 1/4, -2, -5, w
Let s = 16 + -1. Suppose -5*b - 15 - 20 = 0. Let d be b + 148/20 + -1. Sort 3, s, d in increasing order.
d, 3, s
Suppose -a - 3*n + 17 = 0, 7*a - n - 16 = 3*a. Suppose a*t - 123 = 57. Suppose -33 + t = i. Sort -6, 1, i.
-6, 1, i
Let m(f) = -119*f - 709. Let v be m(-6). Sort 0, -3, 3, -5, v in descending order.
v, 3, 0, -3, -5
Let c(q) = 6*q + 20. Let n be c(1). Let k(x) = -3*x + 71. Let l be k(22). Put 1, l, n, -2 in ascending order.
-2, 1, l, n
Let v(o) = o**2 + 8*o + 6. Let m(h) be the second derivative of h**3/3 + 7*h**2/2 - 4*h. Let z be m(-7). Let j be v(z). Sort -5, 0, j in decreasing order.
0, j, -5
Let u = 233.0106 - 0.0106. Let r = -236 + u. Put r, 4, -4, 0.4 in decreasing order.
4, 0.4, r, -4
Let q(s) = -2*s**3 + 5*s**2 + 2*s + 5. Let j be q(3). Let w be j/10 - (-4 + (-96)/(-20)). Let h = 4 + -3. Put h, -6, w in descending order.
h, w, -6
Let x = -165 - -24. Let j be (81/(-36))/((-6)/(-400)). Let q = x - j. Sort 7, 1, q in increasing order.
1, 7, q
Suppose -13 = -12*d + 35. Suppose -2*v - 3*f + 1 + 12 = 0, d*v + 2*f - 22 = 0. Suppose v*r - 20 = -0*r. Put -3, r, 10 in decreasing order.
10, r, -3
Let t = 13715 + -13712. Put t, 0, 2, 1, 50 in descending order.
50, t, 2, 1, 0
Let k = 54.9 + -54.5. Sort -0.05, k, -3, -25 in descending order.
k, -0.05, -3, -25
Let p = -723 - -1449/2. Sort 2.9, p, -2.
-2, p, 2.9
Let s = 425/4 - 107. Let z(n) = n**3 - 7*n**2 - 72*n + 486. Let h be z(9). Sort 1/5, h, -0.3, s in decreasing order.
1/5, h, -0.3, s
Suppose 0 = 161*d - 118 + 601. Let m(k) be the second derivative of k**5/20 + k**4/4 + 2*k**2 + k. Let l be m(d). Put -4, 2, -2, l in decreasing order.
l, 2, -2, -4
Let v(l) = -8*l + l**2 + 4*l - 6 - 9*l + 22 - 5*l**2. Let f be v(-4). Sort f, 2, -2, 5.
-2, 2, f, 5
Let p be (-3)/1 + (-72)/(-28). Let y(n) = -n + 9. Let x be y(8). Let b(v) = v**2 + 15*v + 46. Let g be b(-4). Sort p, x, g in increasing order.
p, x, g
Let x = 62.1 + -62. Let t be (-46 + 53 + 338/(-48))*2. Sort t, x, -2/3.
-2/3, t, x
Let f = -5 + 3. Let p = 761.541 - 762. Let m = p + 0.159. Put 0.3, m, f, 0.4 in increasing order.
f, m, 0.3, 0.4
Let j = -2 - -3. Let x = 3757 - 3757.5. Put -2/7, j, 5, x in increasing order.
x, -2/7, j, 5
Let d = -17 - -21.25. Let c = d - 0.25. Sort 0.4, 0.1, 0.3, c in descending order.
c, 0.4, 0.3, 0.1
Let h(k) be the third derivative of -k**4/12 - k**3/2 + k**2. Suppose 5*m - 10 - 10 = 0, -12 = 2*q - 3*m. Let b be h(q). Put 4, b, 2 in descending order.
4, 2, b
Let w be -19 - (1035880/1881)/(-29). Put -0.07, 3, w in decreasing order.
3, w, -0.07
Let n(h) = h**2 + 855*h - 6039. Let p be n(7). Let s(t) = -t**3 - 6*t**2 + 7*t - 1. Let o be s(-7). Sort o, -6, p.
-6, p, o
Suppose -31 + 11 = 4*b. Let z = 59 - 54. Sort b, z, -2, 4.
b, -2, 4, z
Let d be -10*(-10 + (-846)/(-90))*5/(-6). Sort 33, d, 0, 5 in decreasing order.
33, 5, 0, d
Let p = -21 - -17.6. Let i = -17.6 + p. Let z = -21.1 - i. Put 21, 1/5, z, 0.5 in decreasing order.
21, 0.5, 1/5, z
Let j(y) = y**3 + 18*y**2 - 3*y - 3. Let n be j(-18). Suppose -18 = 54*q - n*q. Let w = 16 + -19. Sort -2, -4, q, w in decreasing order.
-2, w, -4, q
Suppose -2 = -4*u + 18. Let o be ((-43)/(602/(-112)) - (-4 + 4/2)) + -9. Put u, o, 2, 5/8 in ascending order.
5/8, o, 2, u
Let q = -4 + 5. Let t be 3 - 1 - (-3316)/(-18). Let n = 182 + t. Put 3/4, q, n in descending order.
q, 3/4, n
Suppose 4*t - 1575 + 343 = 0. Let h be (-110)/t + 1/2 - 0. Let r = 4 + -4.3. Put h, 0, r in decreasing order.
h, 0, r
Let m be (-6)/(-2) - 12724*(-9)/(-50832). Let b = 1/353 + m. Put 3, -1, 2, b in decreasing order.
3, 2, b, -1
Let q(j) = -j**3 + 5*j**2 - 80*j + 152. Let y be q(2). Let x(a) = -7*a. Let b be x(2). Let d be (-1)/(-2) + b/4. Sort 1/3, d, y, -0.1.
d, -0.1, 1/3, y
Let g = -4.98244 - 0.01756. Sort -370, g, 3 in descending order.
3, g, -370
Let a = 32728 - 32689. Put a, -3, -5, 15 in increasing order.
-5, -3, 15, a
Let c = -0.9 - -0.4. Let w = -2189 - -2189. Sort w, c, 2, 1 in decreasing order.
2, 1, w, c
Let o(m) = -m**2 - 47*m - 168. Let c be o(-43). Let i(b) = -2*b**2 + 19*b - 6. Let p be i(9). Sort -6, p, c.
-6, p, c
Let p = 26 + -31. Let f = 104 - 107. Let w = 3.13 - 0.13. Sort p, f, w.
p, f, w
Suppose 138*k + 3*b = 135*k + 21, 3*k - 28 = 4*b. Sort 1, -23, k, -5 in ascending order.
-23, -5, 1, k
Suppose 17*n - 20*n + 184 = 5*k, -3*k = 4*n - 117. Suppose w = 8*w - 35. Put k, 4, w in descending order.
k, w, 4
Suppose -4*t + 33 = t - g, -t + 5*g = 3. Suppose 1 + t = -4*u. Let r = -17.53 - -12.53. Sort -1/2, u, r, -4 in descending order.
-1/2, u, -4, r
Let d = -5/3 + 4/3. Let x = -0.717 - 22.343. | {
"pile_set_name": "DM Mathematics"
} |
- 148*d**2.
-287*d**2
Collect the terms in -10*a - 24991*a**2 - 53*a + 4*a + 24980*a**2.
-11*a**2 - 59*a
Collect the terms in 863*k**2 - 116*k**2 + 979*k**2 + 8123*k - 8123*k.
1726*k**2
Collect the terms in 4*c**3 - 9*c**3 + 3*c**3 - 1014126*c + 2.
-2*c**3 - 1014126*c + 2
Collect the terms in -49 - 2*o**2 - 2*o**2 - 14828*o - 76 - 4 + 14828*o.
-4*o**2 - 129
Collect the terms in -30 + 24 - 17*y + 5 + 3 - 2.
-17*y
Collect the terms in -62 + 47293*g**2 - 4153*g**2 - 67 + 129.
43140*g**2
Collect the terms in 269*a - 13*a**2 - 97*a + 14*a + 15*a**2 - 127*a.
2*a**2 + 59*a
Collect the terms in -309*z**3 + 534*z**3 - 81*z**3 - 67*z**3 - 66*z**3.
11*z**3
Collect the terms in 11908535*y**3 - 2622301*y**3 + 14731794*y**3.
24018028*y**3
Collect the terms in 489*y**3 - 16422*y + 16422*y.
489*y**3
Collect the terms in 10010575201*l + 207*l**2 - 10010575201*l.
207*l**2
Collect the terms in 123*d**2 + 126*d**2 + 1036 - 1036 - 232*d**2 - 24*d**2.
-7*d**2
Collect the terms in -4*h + 98*h + 57*h - 178*h.
-27*h
Collect the terms in -4*a**2 + a + 3306901*a**3 + 5*a**2 + 6*a**2 - 3306964*a**3.
-63*a**3 + 7*a**2 + a
Collect the terms in -13210 - 57*a**2 - 13219 + 39656 - 13227 + 62*a**2.
5*a**2
Collect the terms in -907831 + 2723570 - 907859 - 907880 - 7*d**2.
-7*d**2
Collect the terms in w + 4706 - 14*w - 11*w - 4540.
-24*w + 166
Collect the terms in -596 + 986 - 390 + 20*n - 281*n**2.
-281*n**2 + 20*n
Collect the terms in -74 + 7230*n**2 - 253 + 11528*n**2 + 9936*n**2.
28694*n**2 - 327
Collect the terms in -20*d**2 - 28*d**2 - 28*d**2 + 1091*d**3 + 78*d**2.
1091*d**3 + 2*d**2
Collect the terms in 339*o + 78*o - 119*o + 681*o.
979*o
Collect the terms in -63*h + 737*h - 146*h - 129*h - 201*h.
198*h
Collect the terms in 2 + 19628*f - 4110*f + 4 - 6.
15518*f
Collect the terms in -10 + 110*s + 70*s - 1642*s + 10.
-1462*s
Collect the terms in 4*c**3 + 7 + 1053427148779*c**2 - 1053427148779*c**2.
4*c**3 + 7
Collect the terms in 53*y + 1206*y**3 - 55*y + 1214*y**3 - 2515*y**3.
-95*y**3 - 2*y
Collect the terms in -21975*v + 760649*v + 825221*v + 99766*v.
1663661*v
Collect the terms in -170348*y + 32942*y**2 + 170348*y.
32942*y**2
Collect the terms in -591 + 299 + 11981*q + 292 + 2682*q.
14663*q
Collect the terms in 16*n - 44*n**2 - 144*n + 45*n**2 - 5*n**3.
-5*n**3 + n**2 - 128*n
Collect the terms in -5551*d**2 - 7179*d**2 + 12853*d**2.
123*d**2
Collect the terms in 1082161*z**2 + 34390*z**2 - 80310*z**2 + 1073158*z**2.
2109399*z**2
Collect the terms in -182653178*d**2 + 91326595*d**2 + 91326578*d**2.
-5*d**2
Collect the terms in 1397 + 1370 - 4135 - 6*b + 1368 - 28*b.
-34*b
Collect the terms in 9669601 - 9669601 - 14*d**2.
-14*d**2
Collect the terms in -1262 + 46839*w**3 - 46840*w**3 - 3028.
-w**3 - 4290
Collect the terms in -14*m**2 + 2*m + 35 - 30 - 9*m + 3*m.
-14*m**2 - 4*m + 5
Collect the terms in -3*p + 3*p - 1 - 2*p - 422*p**2 + 247*p**2 + 225*p**2.
50*p**2 - 2*p - 1
Collect the terms in 796 - 544 - 6*z + 804.
-6*z + 1056
Collect the terms in -311 + 292*s + 160 + 156.
292*s + 5
Collect the terms in -209 + 86*o + 71 + 50 - 267*o + 88.
-181*o
Collect the terms in -3991*i**3 - 3045*i**3 - 4269*i**3 + 3230*i**3.
-8075*i**3
Collect the terms in -72 + 246 - 64 + 50*m**3 - 55 - 55.
50*m**3
Collect the terms in 11347*n**3 - 2*n**2 + 232 + 2*n**2 - 11346*n**3 - 232.
n**3
Collect the terms in 1439*d**2 - 2659*d**2 + 1228*d**2.
8*d**2
Collect the terms in 9540488661 + 2570*l - 9540488661.
2570*l
Collect the terms in 1538*n**2 - 6533*n**2 + 917*n**2 - 4972*n**2 - 3243*n**2 + 463*n**2.
-11830*n**2
Collect the terms in 156*v**2 + 144*v**2 + 159*v**2 + v - 603*v**2 + 176*v**2.
32*v**2 + v
Collect the terms in 253*v**3 - 2769 + 2769 - 263*v**3 + 23*v**2.
-10*v**3 + 23*v**2
Collect the terms in -m**3 - 7247413762746 + 7247413762746.
-m**3
Collect the terms in 4878*w**2 - 1236*w**2 - 1224*w**2 - 1208*w**2 - 1215*w**2.
-5*w**2
Collect the terms in -141850*a + 70930*a - 398*a**3 + 70920*a.
-398*a**3
Collect the terms in 254*g + 135*g - 369*g + 1170*g + 578*g.
1768*g
Collect the terms in 33627*a - 31684*a + 81962*a - 11627*a + 90513*a.
162791*a
Collect the terms in -30*f**2 - 10583757806*f + 10583757806*f.
-30*f**2
Collect the terms in 117 + 930 - 1047 - 594*n.
-594*n
Collect the terms in -2 + 1200928*x - 1210937*x + 3.
-10009*x + 1
Collect the terms in -12 + 3165*t**2 + 20509*t**2 + 6 + 6.
23674*t**2
Collect the terms in 802*q**2 - 802*q**2 + 994497*q**3 - 994502*q**3.
-5*q**3
Collect the terms in 51 - 28 - 3*w**2 + 117*w - 21.
-3*w**2 + 117*w + 2
Collect the terms in 10 - 12 + 9 + 197*q - 223*q.
-26*q + 7
Collect the terms in 5621*o**3 + 3879*o**3 + 4 - 5 + 3*o**2 - 2*o**2.
9500*o**3 + o**2 - 1
Collect the terms in -276*p + 1541*p - 68*p + 40*p + 769*p.
2006*p
Collect the terms in -455747 + 2*h**3 - 455752 + 911499.
2*h**3
Collect the terms in 16969*c + 14135*c - 2032*c.
29072*c
Collect the terms in -229*k**2 - 840*k**2 - 1557*k**2 - 43*k**2 + 2*k**3.
2*k**3 - 2669*k**2
Collect the terms in -2*w + 1075*w**3 + 1110*w**3 - 1965*w**3.
220*w**3 - 2*w
Collect the terms in 7 - 282204*z - 4*z**2 + 282204*z.
-4*z**2 + 7
Collect the terms in 257*p + 464*p**2 + 224*p - 481*p + 1457 - 1457.
464*p**2
Collect the terms in -5 + 207*a - 12 - 10 + 27 + 2018*a.
2225*a
Collect the terms in 666385709*i - 1890*i**2 - 666385709*i.
-1890*i**2
Collect the terms in -589*c - 20 + 146*c + 23*c**2 + 137*c + 153*c + 153*c.
23*c**2 - 20
Collect the terms in -725139380*p - 3*p**2 + 11 + 725139380*p.
-3*p**2 + 11
Collect the terms in -1941*n**2 + 653*n**2 + 646*n**2 + 647*n**2.
5*n**2
Collect the terms in -13840*x + 13840*x - 4657*x**3.
-4657*x**3
Collect the terms in 7*j**2 + 107299 + 107304 - 321918 + 107315 + 2*j.
7*j**2 + 2*j
Collect the terms in 3*q + 102*q + 75*q - 8763*q**3 + 8765*q**3.
2*q**3 + 180*q
Collect the terms in -841826*q**2 - 3 + 4 + 3 + 841835*q**2.
9*q**2 + 4
Collect the terms in 18584*o - 49624*o - 26667*o.
-57707*o
Collect the terms in 921*h + 2765*h + 3143*h - 3*h**3.
-3*h**3 + 6829*h
Collect the terms in 15565333*a**2 - 15565331*a**2 - 634*a**3 - 487*a**3.
-1121*a**3 + 2*a**2
Collect the terms in -512113*b**2 - 464590*b**2 + 197994*b**2.
-778709*b**2
Collect the terms in 5885768*g**3 - 10*g**2 + 10*g**2 + 3611018*g**3.
9496786*g**3
Collect the terms in -132745*m + 66472*m + 66398*m.
125*m
Collect the terms in -19839027*l**2 + 39678247*l**2 - 1 + 1 - 19839221*l**2 + 0.
-l**2
Collect the terms in -93*k**2 + 47*k**3 - 277 - 79*k**2 - 86*k**2 + 258*k**2.
47*k**3 - 277
Collect the terms in 1663 - 1663 - 137024*r**3 + 137011*r**3.
-13*r**3
Collect the terms in 7 + 99*r**2 - 2*r - 1232*r**3 - 99*r**2.
-1232*r**3 - 2*r + 7
Collect the terms in -169*o**3 - 199*o**3 - 159*o**3 - 217*o**3 + 709*o**3.
-35*o**3
Collect the terms in -5*s - 58*s + 112*s - 36*s - 321*s - 109*s.
-417*s
Collect the terms in -3*y**2 - 528664 + 0*y**2 - 5*y + 528664 - 8*y + 13*y.
-3*y**2
Collect the terms in -2*u**3 - 6 + u**3 + 2*u**3 + 325*u**2 - 198*u - 325*u**2.
u**3 - 198*u - 6
Collect the terms in -4*m + 814*m**3 + 114 - 238 + 120.
814*m**3 - 4*m - 4
Collect the terms in -138210*a**2 - 138208*a**2 - 138219*a**2 - 138225*a**2 + 691047*a**2 - 138224*a**2.
-39*a**2
Collect the terms in 1718*m + 4812*m + 4892*m - 1627*m + 3762*m.
13557*m
Collect the terms in 12331*x - 8 - 16874*x + 8 - 14563*x.
-19106*x
Collect the terms in -1225029 - 1225033 - 1225023 + 3675085 - 15*t**2.
-15*t**2
Collect the terms in 4 + 15335*o**2 - 27605*o**2 - 4 + 12426*o**2.
156*o**2
Collect the terms in 8 - 184 + 155 + 7 + 14 + 2*m**2.
2*m**2
Collect the terms in 4 + 8 - 56*a - 2 - 13 + 34.
-56*a + 31
Collect the terms in -2691*s**2 + 3 + 4271*s**2 - 3 - 1580*s**2 - 5*s**3 + 0.
-5*s**3
Collect the terms in -s**3 - 5*s**3 + 488423*s + 488419*s + 5*s**3 + 0*s**3 - 976842*s.
-s**3
Collect the terms in 3040*j**2 - 5910*j**2 + 2872*j**2.
2*j**2
Collect the terms in -276*c + 23 - 4595*c - 23 - 10675*c.
-15546*c
Collect the terms in -1534 - 492*y + 3060 - 1526.
-492*y
Collect the terms in 4 + 2 + 2777*w - 2755*w - 5 - 3.
22*w - 2
Collect the terms in -25 + 650*x**3 - 1336*x**3 + 4 + 658*x**3.
-28*x**3 - 21
Collect the terms in 2669*h + 2667*h + 655*h**2 - 5336*h.
655*h**2
Collect the terms in 115143277 - 115143277 - 29*j**3.
-29*j**3
Collect the terms i | {
"pile_set_name": "DM Mathematics"
} |
t of o?
7
Suppose 6*f = -8*f + 6678. What is the tens digit of f?
7
Suppose 4*f + 17464 = 5*d + 5603, 11869 = 5*d + 4*f. What is the units digit of d?
3
Let d be (-6)/(-1)*(-20)/(-24). Let m(w) = w**2 - 5*w + 5. Let p be m(d). Suppose 0*x + 173 = 4*r + 3*x, p*r - 2*x = 199. What is the tens digit of r?
4
What is the tens digit of ((-12)/(-16))/(3/1836)?
5
Suppose -337*g = -339*g + 10. Suppose -16 = -5*j - 2*i - 2*i, -3*j + 12 = 3*i. Suppose x - 5*a - 32 = j, g*x + 0*a = -2*a + 295. What is the tens digit of x?
5
Let a = 4 + -3. Suppose -2*t = 4*t - 36. Let k = t - a. What is the units digit of k?
5
Let t = 2336 - 1343. What is the units digit of t?
3
Let p = 1060 + -523. What is the hundreds digit of p?
5
What is the hundreds digit of (264/14)/((-124)/(-20398))?
1
Let z(a) = -5*a**3 - 4*a**2 + 10*a + 17. Let p be z(-5). Suppose 66*t = 62*t + p. What is the tens digit of t?
2
Suppose -10752 = -9*b - 7*b. What is the units digit of b?
2
Suppose 175 = 4*w + 5*k - 57, -122 = -2*w - 4*k. Let u = w + 21. What is the units digit of u?
4
Suppose 2*k - 3*m = 11 + 24, 3*k + 3*m - 45 = 0. Let s = 31 + k. What is the units digit of s?
7
Suppose 0 = 3*h - 4*l - 7954, -8*h + 2*l + 7952 = -5*h. What is the thousands digit of h?
2
Let h(n) = n**2 + n - 18. Let i be h(8). Suppose 2*g = j - i, -5*j - 2*g = 3*g - 270. What is the tens digit of j?
5
Let r(s) = 93*s - 100. What is the hundreds digit of r(11)?
9
Let z(a) = 15*a - 6*a - 11*a + 21 - 14. Let s(v) = v**2 - 3*v. Let o be s(3). What is the units digit of z(o)?
7
Let q(h) = h**3 + 9*h**2 - 8*h + 7. Let k be q(-10). Let u be k/(-52) + (-767)/(-4). Suppose -12*z + 16*z = u. What is the tens digit of z?
4
Let r(g) = 2*g - 3. Let d be r(6). Let s(w) = w**3 - 8*w**2 - 10*w + 5. Let l be s(d). What is the tens digit of (l/12)/(1/(-36))?
1
Let i(g) be the first derivative of g**2 - 1/4*g**4 + 2 + 2*g + 1/3*g**3. What is the units digit of i(-1)?
2
Let x(r) = 12*r - 47. What is the hundreds digit of x(29)?
3
Let f = 2 - -38. What is the units digit of (-1)/((f/15)/(-8))?
3
Let y = 555 + -429. What is the tens digit of y?
2
Suppose -5*d + 36 = -11*d. What is the tens digit of ((-128)/d)/(4/18)?
9
Let k(l) = 13*l**2 - 36*l. What is the units digit of k(12)?
0
Suppose -5*d = 2*w, -d = 3*w - 8*w. Suppose -3*r - 5 - 4 = w. Let h(n) = n**3 + 3*n**2 - 4*n - 3. What is the units digit of h(r)?
9
Suppose 0 = -28*v + 56320 - 1776. What is the thousands digit of v?
1
Let f = -1100 + 754. Let y = 531 + f. What is the tens digit of y?
8
Suppose 3*y + 19 = -4*k, -y = 2*k - 3*y + 6. Let l be ((-9)/k - 3)*-72. Suppose -2*c + 18 = -l. What is the tens digit of c?
3
What is the tens digit of (1/(-3))/((-11)/91146)?
6
Let f = 182 + 132. What is the units digit of f?
4
Let k be 1*(-10)/(-4)*16. Let d = 0 - -4. Suppose -d*g - k = -140. What is the units digit of g?
5
Let r be (-3)/((-12)/(-32)) - 3. Let y = r + 14. Suppose 0 = 3*m - 15 + y. What is the units digit of m?
4
Let q(k) = 3*k**2 - 7*k - 1. Let o(j) = 6*j - 30. Let v be o(6). What is the units digit of q(v)?
5
Suppose 3470 - 503 = 3*f. What is the units digit of f?
9
Let u(j) = -j**2 - 7*j - 7. Let x be u(-5). Suppose -2*l - x*l + 10 = 0. Suppose o = r + 13, l*o + 67 = 6*o - r. What is the tens digit of o?
1
Let m(h) = h**3 - 3*h**2 - 7*h - 11. Let w be m(5). Suppose -2*u - 5*a = -w*u + 382, 5*a = -20. What is the units digit of u?
1
Let s be ((4 - 1) + -4)*227*-1. Suppose -109 - s = -4*f. What is the tens digit of f?
8
What is the units digit of (1 + 352/(-4))/((-2)/2)?
7
Let k(h) = -h**3 - 11*h**2 + 5. Let x(v) = v**3 + 12*v**2 - v - 4. Let r(g) = 6*k(g) + 5*x(g). Let b = -1063 + 1057. What is the tens digit of r(b)?
4
Let r(j) = -6*j - 1. Let b(i) = i**2 - 6*i - 7. Let l be b(7). Suppose 5*z + 0*t + 2*t + 6 = l, -5*z = -t + 12. What is the units digit of r(z)?
1
Let u(c) = -c**3 - 5*c**2 - 3*c + 2001. What is the units digit of u(0)?
1
Let a = -37 - -23. Let c = 17 - a. What is the units digit of c?
1
Suppose -60 = -0*p - 4*p. Suppose -16*r = -p*r + 9. What is the units digit of (-2)/(6/r) + -2?
1
Suppose 0*s - 20 = -2*s. Suppose -4*y = y - 5*h - 535, 2*h = s. Suppose -65 = -3*w + 2*u, -4*w - 3*u = 31 - y. What is the units digit of w?
1
Let o(n) be the first derivative of n**4/4 - 5*n**3/3 + 2*n**2 + 3*n + 4. Let p be o(4). Suppose p*s - 2*s = 22. What is the units digit of s?
2
Let c = 696 + -208. What is the hundreds digit of c?
4
Let m = 2833 + -94. What is the units digit of m?
9
Suppose -3*k + 21 - 6 = 0. Let q = k - 3. Suppose 2*i = q*t - i - 3, 27 = 4*t + i. What is the units digit of t?
6
Let s(m) = -4*m - 32. Let b be s(-8). Suppose 5*v - 445 - 280 = b. What is the hundreds digit of v?
1
Let y = -118 - -108. Suppose -2*w = -w + 60. What is the units digit of ((-10)/(-3))/(y/w)?
0
Suppose -4*z + 2*x + 748 = 0, -z + 88 = -2*x - 96. What is the units digit of z?
8
Suppose 0 = 3*z + j - 917, z - 3*j + 0*j - 289 = 0. What is the units digit of z?
4
Let w(f) = 8*f**2 + 8 - 7*f**2 + f**3 + 5*f**2 + 11*f + 4*f**2. What is the tens digit of w(-8)?
4
Let j = 1541 - -1199. What is the thousands digit of j?
2
Let z = 6042 + -4102. What is the units digit of z?
0
Suppose 0 = j - 2*j. Suppose 0 = -4*b - j*p - p + 14, 2*b - 5*p - 18 = 0. Suppose -9 = -l - n - b*n, -n = 5*l - 93. What is the units digit of l?
9
Suppose -5*y = 3*m - 3340, 0 = 4*y - 2*m + 4*m - 2672. Let c = y + -475. What is the hundreds digit of c?
1
Suppose -k + 17 = -3*u, 4*k - 2*u = u + 23. Suppose -k*c - c = -42. What is the units digit of c?
4
Let g be (-23 - 0)*(-2 + 1 + -1). Let x = 361 - g. What is the tens digit of x?
1
Let t(c) = -2*c + 6. Suppose -w - 9 = -0*w. Let j be t(w). Suppose 0*y + j = 2*y. What is the tens digit of y?
1
Let g(j) = 30*j + 130. What is the units digit of g(23)?
0
What is the units digit of 338 + ((-2)/(-8) - 70/(-40))?
0
Let t = -171 + 567. Let d = t + -209. What is the tens digit of d?
8
Let h = 42 + -42. Suppose 5*o - 150 = 4*k, h*k = -2*k + 10. What is the tens digit of o?
3
Let i = -44 - -50. Let b(l) = 7*l - 22. What is the units digit of b(i)?
0
What is the thousands digit of (-1 + 0)*((-1 - 1819) + 5)?
1
Suppose -2*q + 37 = -25. Suppose 77 + q = 3*m. What is the tens digit of m?
3
Suppose 90 = f - 4*d - 0*d, -3*f + 277 = -5*d. Suppose -3*x = -8*m + 4*m - 334, x + 3*m - f = 0. What is the hundreds digit of x?
1
Let k = -79 + 232. What is the hundreds digit of k?
1
Suppose 0 = o + o. Suppose o*v = v - 5. Suppose 0*t - 90 = -v*t. What is the tens digit of t?
1
Suppose -u + 5*k + 32 = -3, 4*u = 3*k + 55. Suppose -3*x - 1 = -u. Suppose 3*n - n + 8 = 0, -x*d + 65 = 4*n. What is the units digit of d?
7
Let a = -134 + 137. Let j(l) = 24*l**2 - l. What is the tens digit of j(a)?
1
Let p(d) = -3*d - 3. Let g be p(-5). Suppose -4*y = -29 - 11. Let o = g - y. What is the units digit of o?
2
Let o(x) be the third derivative of -x**5/60 - 3*x**4/8 - x**3/6 - 4*x**2. Let r be o(-4). Suppose i + 0*i = r. What is the units digit of i?
9
Suppose 3*k = 4*m - 3*m + 58, 4*m + 266 = -5*k. What is the units digit of (2/(-1) - (m + -2)) + 0?
4
Suppose -5*s = x - 75, 0*s + s = -4*x - 4. Let y = 34 - s. Suppose y - 102 = -4*g. What is the tens digit of g?
2
Suppose 65*l = -c + 63*l + 1469, -5816 = -4*c + 4*l. What is the units digit of c?
9
Let c(a) = 412*a**3 - 4*a**2 + 5*a - 1. What is the units digit of c(1)?
2
Suppose 5*w - 579 = -g + 2743, -3*g = 3*w - 1986. Suppose -m - 4*m + w = 0. What is the hundreds digit of m?
1
Suppose 0 = 2*v + 3 - 11. Suppose v*i + 342 = 4*j + 2*i, -5*j + 405 = 2*i. What is the tens digit of j?
8
Suppose 15*q - 19*q = -492. Let t(j) = -q + 0*j + 137 - j. What is the units digit of t(10)?
4
Suppose 5*w = -0*w. Suppose w = -3*h + 24 + 570. Suppose 3*n = 4*t - 143, -5*t - 4*n - 27 = -h. What is the units digit of t?
5
Let f(c) = 336*c + 130. What is the units digit of f(2)?
2
Let w(v) = 2216*v**2 - 5*v + 3. What is the tens digit of w(1)?
1
What is the tens digit of (-4)/(7 + 5)*-4509?
0
Let y be 28/5 + 24/(-40). Suppose 13 = y*z - 17. Let d(u) = -u**2 + 8*u - 8. What is the units digit of d(z)?
4
Let r = -79 - -81. Let w = 2 - 0. Suppose 0*n - r = -w*n. What is the units digit of n?
1
Let a(x) = x**2 - x. Let o(c) = 4*c**2 + 4. Let y(n) = 3*n**2 - n + 5. Let m( | {
"pile_set_name": "DM Mathematics"
} |
. Let y(l) = m*s(l) - n(l). Determine j, given that y(j) = 0.
-1, 0
Suppose -l - 9*x = -4*x, -x - 26 = -5*l. Let f = 95/412 - -2/103. Solve -1/4 - 1/4*q - 1/4*q**l - f*q**4 + 1/2*q**2 + 1/2*q**3 = 0.
-1, 1
Let z(w) be the second derivative of 1/3*w**2 - 2/9*w**3 - 3*w + 0 + 1/18*w**4. Factor z(o).
2*(o - 1)**2/3
Let u = -11/4 + 3. Determine g, given that -u*g**5 + 3/4*g**3 - 1/4*g**4 - 1/2*g + 1/4*g**2 + 0 = 0.
-2, -1, 0, 1
Suppose -4*y = y - 135. Let p be y/12 + (-2)/8. Let 2*m**p - m**2 - m**3 + 0*m**3 = 0. Calculate m.
0, 1
Let n(g) be the third derivative of -1/20*g**6 + 0 - 4*g**2 + 0*g - 1/10*g**5 - 1/112*g**8 + 3/8*g**4 - 1/2*g**3 + 3/70*g**7. Factor n(f).
-3*(f - 1)**4*(f + 1)
Let g(z) be the second derivative of -2/27*z**3 - 3*z + 0 - 1/9*z**2 - 1/54*z**4. What is v in g(v) = 0?
-1
Let d = -1/590 - -1183/1770. Determine f so that d*f**4 - 2/3*f**3 - 2/3 - 8/3*f**2 - 7/3*f + 1/3*f**5 = 0.
-1, 2
Suppose 94 = -2*j + 100. Factor -2/9 - 2/9*k**4 + 4/9*k**2 + 0*k + 0*k**j.
-2*(k - 1)**2*(k + 1)**2/9
Let v(x) be the first derivative of x**3/6 + 2*x**2 + 8*x + 2. Factor v(o).
(o + 4)**2/2
Let p(k) be the second derivative of -k**4/8 - 3*k**3/4 - 3*k**2/2 - 3*k. Find n such that p(n) = 0.
-2, -1
Let n = 638 + -5735/9. Let y(q) be the first derivative of -1/3*q**4 - 1/3*q + n*q**3 - 1/3*q**2 - 3. Factor y(z).
-(z - 1)**2*(4*z + 1)/3
Let r = 8 - 5. Let w = 26 + -26. Solve w*a + 2/3*a**r - 2/3*a**4 + 0*a**2 + 0 = 0.
0, 1
Solve -8/5 + 2*u**3 - 2/5*u**2 - 2/5*u**5 - 16/5*u + 2/5*u**4 = 0.
-1, 2
Let k = 8 - 0. Let t = k - 5. Factor -4/5 + 2*h - 8/5*h**2 + 2/5*h**t.
2*(h - 2)*(h - 1)**2/5
Find h such that 9*h + 10*h**4 - 14*h**2 + 4 - 2*h**3 - 11*h + 4*h**5 + 0*h**3 = 0.
-2, -1, 1/2, 1
Let n(y) be the second derivative of -2*y**7/21 - 4*y**6/15 + 3*y**5/5 + 4*y**4/3 - 8*y**3/3 + 24*y. Factor n(t).
-4*t*(t - 1)**2*(t + 2)**2
Let t(v) = v**4. Let m(r) = r**5 + 8*r**4 + r**3. Suppose -3*a - 42 = -2*x, x + 0*a + a = 11. Suppose 4*j + 9 = -x. Let g(c) = j*t(c) + m(c). Factor g(l).
l**3*(l + 1)**2
Factor -702*t + 705*t + 0*t**2 - 3*t**2.
-3*t*(t - 1)
Let l(y) be the second derivative of 2/9*y**3 + 0*y**2 - 1/18*y**4 + 0 - 1/30*y**5 + 4*y. Factor l(j).
-2*j*(j - 1)*(j + 2)/3
Let 4*a**3 - 16 + 4*a**2 - 16*a + 6*a**3 - 6*a**3 = 0. What is a?
-2, -1, 2
Let a(u) be the first derivative of u**4/8 + u**3/2 + u**2/2 - 1. Factor a(r).
r*(r + 1)*(r + 2)/2
Let u(t) be the third derivative of -13*t**6/120 - 19*t**5/15 - 35*t**4/8 + 3*t**3 - 22*t**2. Suppose u(d) = 0. What is d?
-3, 2/13
Factor -13*t**2 + 20 - 8*t + 28*t + 18*t**2.
5*(t + 2)**2
Suppose 3 = 4*l - 3*l. Suppose 3 = w - 5*h, 5*h + 9 = l*w + h. Factor 5 + 2*g + 4*g**w - 5 + 8*g**4 - 6*g**3 - 8*g**2.
2*g*(g - 1)*(g + 1)*(4*g - 1)
Let s(w) = -w**2 + 1. Let o(y) be the first derivative of -y**3/3 - y**2 + 2*y - 5. Let x(r) = -3*o(r) + 6*s(r). Determine c so that x(c) = 0.
0, 2
Let q(j) = j**2 + 11*j + 3. Let n be q(-10). Let l = -4 - n. Solve -5*d**l + 6*d**2 + d**4 - d + 3*d + 2*d - 8 = 0 for d.
-1, 2
Suppose -4*h + s + 301 = -0*h, 2*h - 2*s = 146. Let b be h/18 + (-8)/36. Factor -15 - 2*x**b - 2*x**3 + 2*x**2 + 15 + 2*x**5.
2*x**2*(x - 1)**2*(x + 1)
Let p = -1416 - -9920/7. Find b such that -18/7*b**4 + 0 + 16/7*b**2 - 6/7*b**3 + p*b = 0.
-2/3, 0, 1
Suppose -2*a + 6 + 0 = 0. Factor -4*v**3 + 3*v**3 - 3*v**3 - v + 3*v**a - 2*v**2.
-v*(v + 1)**2
Let c(o) be the third derivative of o**7/7560 - o**5/360 + o**4/6 + 2*o**2. Let w(n) be the second derivative of c(n). Factor w(h).
(h - 1)*(h + 1)/3
Let r be 2 - (7 + 2)/(-3). Factor -b**3 - 10*b**r + 4*b**5 - b**2 + b**4 + 7*b**5.
b**2*(b - 1)*(b + 1)**2
Let w(y) be the first derivative of -y**4/4 + 2*y**3/3 + y**2/2 - 2*y - 1. Factor w(u).
-(u - 2)*(u - 1)*(u + 1)
Let q(f) = f**4 - f**2 + 1. Let h(p) = -3*p**4 + 39*p**3 - 39*p**2 - 3*p + 18. Let t(a) = -h(a) + 12*q(a). Factor t(m).
3*(m - 1)**3*(5*m + 2)
Let q be ((-4)/7)/(-2) - (-186)/84. Let -9/2*u + 7/2*u**4 - 1 - q*u**2 + 9/2*u**3 = 0. What is u?
-1, -2/7, 1
Suppose -q + 695 = 691. Factor 1/3 + 1/2*y - 1/6*y**2 - 1/2*y**3 - 1/6*y**q.
-(y - 1)*(y + 1)**2*(y + 2)/6
Suppose -5*i + l + 47 + 54 = 0, -4*i + 3*l + 83 = 0. Find b such that -22*b + 8 - 7*b + i*b**2 - 9*b - 6*b = 0.
1/5, 2
Let h be (0 + 4 - (-82)/(-20))*-12. Determine y so that 0 - h*y**2 + 2/5*y**3 + 4/5*y = 0.
0, 1, 2
Let h(p) be the third derivative of -p**7/42 + p**6/12 + p**5/3 - 5*p**4/12 - 5*p**3/2 + 3*p**2 - 4*p. Find y such that h(y) = 0.
-1, 1, 3
Suppose -8 + 4 = -2*p. Suppose -p*y + 6*y = 0. Suppose y + 0*u**2 + 1/4*u**3 + 0*u = 0. Calculate u.
0
Suppose -19/4*w**4 - 1/4*w**3 - 7/4*w**5 + 2*w + 23/4*w**2 - 1 = 0. What is w?
-2, -1, 2/7, 1
Let g(k) be the first derivative of -k**4/20 + k**3/5 - 27. What is w in g(w) = 0?
0, 3
Let s(f) = f**3 + 7*f**2 - f - 5. Let j be s(-7). Factor -2*c**3 - 2*c**2 - 6*c**3 - 6*c**j - 2*c**4.
-2*c**2*(c + 2)**2
Let i(r) be the second derivative of 3*r**7/56 + r**6/20 - 27*r**5/80 + r**3/2 + 28*r. What is b in i(b) = 0?
-2, -2/3, 0, 1
Let m(a) be the first derivative of a**4/10 - 4*a**2/5 - 11. Factor m(d).
2*d*(d - 2)*(d + 2)/5
Suppose -22*o = 2*b - 24*o, -2*b - 5*o + 35 = 0. Find y such that 1/2 - 3/4*y - 5/4*y**2 - 9/4*y**4 + 1/2*y**b + 13/4*y**3 = 0.
-1/2, 1, 2
Suppose 2*q - 2*s + 2 = 0, 0 = 5*s - 7*s + 10. Let r(n) be the first derivative of -1 - 3/4*n**q - 4*n**3 + 0*n - 6*n**2. Solve r(v) = 0 for v.
-2, 0
Let j(g) = -g**2 - 6*g + 4. Let w(u) = 4*u**2 + 17*u - 12. Let k(h) = 7*j(h) + 2*w(h). Let v be k(8). Factor -v*z**2 - z**2 + 3*z**2.
-2*z**2
Let r(i) = i**2 - 7*i + 3. Let v be r(7). Factor 0*n**v - n**3 - n + 2*n**3.
n*(n - 1)*(n + 1)
Let k(u) be the third derivative of 0*u**5 + 7/30*u**6 + 0 + 0*u - 1/3*u**4 + 1/3*u**3 - 17/105*u**7 + 1/28*u**8 - u**2. Determine b so that k(b) = 0.
-1/2, 1/3, 1
Let u(h) = 5*h**5 + 9*h**4 + 2*h**2 + 6*h + 6. Let b(r) = 4*r**5 + 8*r**4 + r**2 + 5*r + 5. Let j(c) = -6*b(c) + 5*u(c). Let j(o) = 0. Calculate o.
-1, 0, 2
Let f(r) be the first derivative of 4*r**5/15 - 2*r**4/3 + 4*r**3/9 + 6. Factor f(c).
4*c**2*(c - 1)**2/3
Let c(x) be the third derivative of x**8/33600 - x**7/2100 + x**6/300 - x**5/15 - 2*x**2. Let b(n) be the third derivative of c(n). Factor b(f).
3*(f - 2)**2/5
Let d(s) = -5*s**3 + 6*s**2 - 5. Let p(h) = -h**3 + 1. Let c(z) = d(z) - 3*p(z). Determine x so that c(x) = 0.
-1, 2
Let z(o) = -3*o**3 - 5*o**2 + 2*o - 2. Let i(p) = -7*p**3 - 11*p**2 + 5*p - 5. Let a(q) = 2*i(q) - 5*z(q). Solve a(b) = 0.
-3, 0
Let z(k) be the second derivative of -2/15*k**3 - 19/75*k**6 + 3/10*k**5 - 1/30*k**4 + 0*k**2 + 3*k + 1/15*k**7 + 0. Suppose z(o) = 0. What is o?
-2/7, 0, 1
Let v be 2/(-14)*(-16 + 6 + 8). Factor 8/7*c + 6/7 + v*c**2.
2*(c + 1)*(c + 3)/7
Let b be 2*(30/(-8) - -4). Let n(g) be the first derivative of 0*g + 0*g**5 - b*g**4 + 1 + 0*g**3 + 1/2*g**2 + 1/6*g**6. What is a in n(a) = 0?
-1, 0, 1
Let y be (-2)/3 - 17/(-3). Determine v so that 0*v + 9*v**y + v - 8*v**5 - 2*v**3 = 0.
-1, 0, 1
Let s(j) = 6*j**4 + 5*j**3 + j - 4. Let d(b) = 13*b**4 + 9*b**3 - b**2 + 3*b - 10. Let r(h) = 2*d(h) - 5*s(h). Factor r(u).
-u*(u + 1)**2*(4*u - 1)
Let l(x) = -3 - 1 - x - x. Let i be l(-3). What is m in -i*m**2 + 0*m**2 + 0*m - 2*m = 0?
-1, 0
Factor -2/3*h + 1/3*h**4 - h**3 + 1/3*h**5 - 5/3*h**2 + 0.
h*(h - 2)*(h + 1)**3/3
Let n = -5 + 5. Suppose 3*o + c = 3, -5*o - c + n*c + 7 = 0. Suppose o*h**3 + 2*h**3 - 10*h**2 + 6 + 2*h - 2 = 0. What is h?
-1/2, 1, 2
Let g(i) be the second derivative of -3/4*i**2 + 3/40*i**5 - 10*i + 1/8*i**4 + 0 - 1/4*i**3. Let g(j) = 0. Calculate j.
-1, 1
Let a = -1 - -5. Let v(u) be the second derivative of 0 + 2/3*u**3 - 2*u + 1/6*u**a + 0*u**2. Factor v(i).
2*i*(i + 2)
Factor -21*d**2 - 6*d - 3/7.
-3*(7*d + 1)**2/7
Let q(b) be the third derivative of 0*b**4 - 1/120*b**5 + 0 + 6*b**2 + 0*b + 0*b**3 + 3/160*b**6 + 5/1344*b**8 - 1/70*b**7. Find d such that q(d) = 0.
0, 2/5, 1
Let m be 5/(-5) - 4/(-1). Let l(k) = k**3 + 5*k**2 + 3*k + 5. Let v be l(-4). Factor 2*r**3 - 2*r + 4*r - v*r**2 + r**m + 4*r**4.
r*(r - 1)*(r + 2)*(4*r - 1)
Let p = -1/134 - -673/402. Suppose -p*h**5 + h**3 + 0 + 7/3*h**2 - 7/3*h**4 + 2/3*h = 0. What is h?
-1, -2/5, 0, 1
Let q(f) be the second derivative of f**4/3 - 2*f**3 + 4*f**2 + 5*f. Factor q(j).
4*(j - 2)*(j - 1)
Solve | {
"pile_set_name": "DM Mathematics"
} |
8
-0.3 times -436
130.8
What is the product of 4 and 97?
388
Work out 167 * 2.7.
450.9
5*-63
-315
What is -0.5 times -900?
450
0.03 * 0.06
0.0018
Multiply -0.1 and 9.31.
-0.931
2 * -255
-510
Multiply -28 and -0.032.
0.896
1.5*4.1
6.15
30*1
30
Calculate 5*-51.
-255
248 * 0.05
12.4
Work out -85 * -5.
425
What is the product of -38 and 0.7?
-26.6
What is 0.09 times 2.44?
0.2196
Work out 5.9 * -5.6.
-33.04
What is 0.1 times -0.53?
-0.053
0.05*1624
81.2
Multiply 17 and -0.1.
-1.7
0.25*0.21
0.0525
What is 7 times -60.7?
-424.9
What is 2.06 times -0.2?
-0.412
Work out -0.03 * -2.3.
0.069
Product of 0.3 and -0.02.
-0.006
What is the product of 2.74 and 96?
263.04
Calculate -2424*0.02.
-48.48
Multiply -10 and -3.2.
32
Work out 11 * 628.
6908
0.005*-98
-0.49
-13 * -0.0298
0.3874
What is 0.6 times 108?
64.8
Calculate 5514*-0.5.
-2757
3*0.7
2.1
-1 * -374
374
What is 26 times -0.6?
-15.6
92 times -7
-644
Multiply -2 and 5.3.
-10.6
What is the product of -0.2358 and -0.2?
0.04716
0.06*24
1.44
6*0.225
1.35
Work out -2 * -0.43.
0.86
Multiply 7 and -2.4.
-16.8
163*-0.4
-65.2
What is 2 times 62?
124
Multiply 4 and -66.
-264
Calculate -2*0.53.
-1.06
Work out 1.6 * -0.06.
-0.096
Work out 0.03 * -0.4.
-0.012
Calculate 0.944*0.1.
0.0944
Multiply 0.3 and -109.
-32.7
What is the product of 2 and -385?
-770
What is 4 times -668?
-2672
Product of 12 and -8.8.
-105.6
0.5 times 0.068
0.034
Multiply 3 and 17.
51
-133 * -1
133
-6990*0.5
-3495
What is 0.118 times -0.2?
-0.0236
0.04 times 188
7.52
What is the product of 4 and -56?
-224
-2 * -34
68
10 * 131
1310
3907 * -2
-7814
Product of -0.01 and 27.
-0.27
-0.1*-2421
242.1
-0.1 times -9.6
0.96
What is the product of 0.4 and -3.2?
-1.28
Work out -366 * 0.41.
-150.06
Product of 0.04 and 22.
0.88
-1043 times -4
4172
-49 * -1
49
Calculate 29.3*-10.
-293
Product of 0.06 and 5.6.
0.336
Work out 0 * -407.
0
What is -0.045 times -0.013?
0.000585
Work out 3 * -9.
-27
Product of -0.2 and -82.
16.4
-4*-2
8
-1483*0.1
-148.3
What is 4 times 0.11?
0.44
-8.267*-0.3
2.4801
What is 6 times -292?
-1752
Calculate 6162*0.5.
3081
What is -4 times 7.6?
-30.4
Calculate 7*-94.
-658
-2.5 times -9
22.5
What is the product of 13.4 and 0.4?
5.36
Calculate -2*8.7.
-17.4
What is the product of -2 and -251?
502
-9275 times 0
0
3.239 * -1
-3.239
Calculate 2.9*0.25.
0.725
Multiply -20 and 0.37.
-7.4
Calculate -0.3*-3.76.
1.128
What is the product of 0.04 and -0.098?
-0.00392
What is -8 times -2.3?
18.4
Product of -18 and 0.5.
-9
-0.2 * -323.1
64.62
Work out 0 * 3.436.
0
Product of -0.07 and 447.
-31.29
0.09*1323
119.07
Work out -0.1 * 5367.
-536.7
Calculate -3*-2.476.
7.428
Multiply -0.3 and 416.
-124.8
Calculate -1767.4*3.
-5302.2
0 * 2243
0
-0.239 times 0.4
-0.0956
What is 6.2 times -1?
-6.2
What is the product of -0.07 and 667?
-46.69
Multiply 0.4 and 0.077.
0.0308
What is -66 times 0.4?
-26.4
2 times -0.31
-0.62
Multiply -16 and 0.877.
-14.032
-0.5 * -3.3
1.65
What is the product of 0 and -81?
0
-1 * -41
41
0.4 * 0.056
0.0224
What is 44 times 0.2?
8.8
What is -0.029 times -0.28?
0.00812
0.5*135
67.5
What is the product of -0.66 and 0.105?
-0.0693
-0.06926*0.2
-0.013852
Product of 80 and 0.17.
13.6
Multiply 0.0578 and 3.
0.1734
Multiply 8 and -5.
-40
-139 times 0.1
-13.9
126 * -9
-1134
What is the product of -56 and 184?
-10304
Calculate -8.5*0.9.
-7.65
-0.3*-1549
464.7
-25 times 17
-425
24 times 0.403
9.672
343.4 * 1
343.4
Calculate -1.357*-0.16.
0.21712
What is the product of 0.2 and -0.63?
-0.126
Calculate 1768*0.05.
88.4
Product of -6 and 0.0259.
-0.1554
What is -0.1 times -0.94?
0.094
-1 times -0.106
0.106
-0.0965 * 3
-0.2895
-92 * -0.2
18.4
8.1 * -2
-16.2
Multiply 124 and -8.
-992
What is 33 times 10?
330
What is -0.7 times -317?
221.9
Calculate 0.5*10.29.
5.145
What is 0.1081 times -2?
-0.2162
Work out 44 * -5.
-220
What is the product of 4 and -932?
-3728
-13*121
-1573
1*-0.029
-0.029
-1.5*22
-33
50*11.1
555
6.9 times -2
-13.8
Product of 0.4 and 4.19.
1.676
-2 times 0.115
-0.23
-0.02 * 0.1747
-0.003494
Multiply -4.7 and 125.
-587.5
Work out 2 * -240.
-480
What is the product of 7.33 and -0.6?
-4.398
What is the product of 131 and -0.5?
-65.5
What is the product of 0.2 and -0.058?
-0.0116
-4 * 1.12
-4.48
What is the product of -0.5 and 216?
-108
Calculate -1.5*20.
-30
What is -0.6 times 18?
-10.8
-1.73 * 2
-3.46
-0.3 times 108
-32.4
0.47 times 0.13
0.0611
-83.7 * -0.1
8.37
Product of 16 and -158.
-2528
What is -0.2 times 12?
-2.4
3916 * -5
-19580
0.2*-28
-5.6
Work out 335 * 0.23.
77.05
-1312*5
-6560
Product of -30 and -0.3.
9
What is 0.129 times -40?
-5.16
Multiply -399 and 0.4.
-159.6
Product of 0.5 and -130.5.
-65.25
What is -15 times -2167?
32505
What is -0.3 times -695?
208.5
-4.74*3
-14.22
Product of -282 and 10.
-2820
What is the product of 5.4 and 3?
16.2
What is -3 times 65?
-195
Product of 0.07 and 167.
11.69
Calculate -22*-145.
3190
1 times -7304
-7304
-7.3 * -13
94.9
Work out -0.1 * -0.203.
0.0203
Multiply 30.7 and 0.5.
15.35
-0.2 * 641
-128.2
0.0526*-0.3
-0.01578
Multiply 32 and -12.
-384
-12 * 0.05
-0.6
2*-456.8
-913.6
0.0994 * -4
-0.3976
11.06 * 1.1
12.166
Multiply -334 and 0.5.
-167
Multiply 29.73 and 3.
89.19
Product of 0.45 and -1.
-0.45
-0.015 times 6.06
-0.0909
What is 0.4443 times 0.4?
0.17772
Calculate -2.9*0.
0
What is the product of -0.07 and -22?
1.54
Work out -0.2 * -0.068.
0.0136
What is -17.66 times -0.1?
1.766
0.3 times -0.2039
-0.06117
Calculate 0.37*-68.
-25.16
0.8 * 3
2.4
What is 0 times -0.141?
0
Calculate -26.9*-5.
134.5
What is 103 times 0.046?
4.738
Calculate -0.3*-0.001.
0.0003
What is the product of -79.9 and 0.4?
-31.96
Work out -0.23322 * -0.5.
0.11661
What is the product of -317 and -5?
1585
-0.04566 * -5
0.2283
Multiply 0.1 and 5.
0.5
Product of 0.6 and -422.
-253.2
Calculate -0.056*-6.3.
0.3528
20 times 19
380
Work out 0.2 * -454.
-90.8
What is -1.1 times -12?
13.2
What is -0.4 times -0.061?
0.0244
4.501 times -4
-18.004
Multiply -0.2025 and -0.1.
0.02025
4 * 883
3532
Calculate -4*-130.
520
Calculate -4*-5.
20
Work out 70.1 * 0.1.
7.01
What is the product of 0.1 and 6?
0.6
Work out -423 * 0.
0
What is -34207 times 0.5?
-17103.5
Multiply 1 and -406.
-406
Product of 0.1668 and -5.
-0.834
Multiply -15 and -3.3.
49.5
Work out -17.7 * -0.6.
10.62
Calculate 21*20.
420
0.20147*-0.4
-0.080588
0 times -0.28
0
Work out 124 * -302.
-37448
Work out -0.118 * 0.1.
-0.0118
Multiply 5 and -4715.
-23575
What is -116 times -0.1?
11.6
Work out -74 * -2.5.
185
Product of -0.05 and 20.1.
-1.005
0.5*48
24
Work out -2619 * 1.
-2619
-0.9 times 5.2
-4.68
-43 * 0.4
-17.2
What is the product of 0.011 and -0.061?
-0.000671
Work out -651.5 * -4.
2606
Work out 1 * 14.
14
What is the product of 5 and 0.032?
0.16
Work out -3 * -2.9.
8.7
29 times -0.4
-11.6
Calculate -54.5*0.06.
-3.27
-0.1 * -336
33.6
What is the product of 0.1 and 0.06?
0.006
What is 0.136 times 44?
5.984
What is the product of 148.5 and -0.3?
-44.55
0.01 times -1.6
-0.016
Product of 0 and 0.0374.
0
5.2*94
488.8
Calculate -0.09*-223.
20.07
-1.8 times -0.2
0.36
Product of 0.5 and -3471.
-1735.5
0.346 * -99
-34.254
Work out -0.1656 * 4.
-0.6624
Product of 1.409 and -3.
-4.227
What is the product of 0.1 and 4.3?
0.43
What is -0.1 times -0.296?
0.0296
338*-0.8
-270.4
0.3*0.49
0.147
Work out -0.5 * -0.365.
0.1825
-3*87
-261
Multiply -33 and -1.1.
36.3
Multiply -0.013 and -25.
0.325
-0.055 * -0.017
0.000935
Work out 1 * 2.59.
2.59
60 times 0.4
24
Calculate 0.5*0.01.
0.005
0.4*5.3
2.12
-1 times -0.01
0.01
Work out -3 * -0.1727.
0.5181
44.3 * 3
132.9
What is 0.2 times -0.151?
-0.0302
Calculate -0.1*-0.4.
0.04
Product of -2.2 and -239.
525.8
What is -0.3 times -11?
3.3
Multiply 5 and -0.057.
-0.285
Calculate -0.1*68.
-6.8
Work out -501 * -0.2.
100.2
What is 1.5 times -19.1?
-28.65
-16*-3
48
Work out -6 * 0.35.
-2.1
Multiply 155 and 35.
5425
Calculate -5*-1072.
5360
Calculate 2*-104.
-208
What is the product of 5 and -75.2?
-376
What is -1.034 times -1?
1.034
-40 * -3.1
124
What is -2.57 times -5?
12.85
Work out -4032 * 0.1.
-403.2
Calculate -0.4*2.
-0.8
What is -710 times -1?
710
What is the product of 0.3 and -49?
-14.7
Product of 3 and -83.
-249
Work out -1978 * 0.06.
-118.68
Multiply -0.1697 and -5.
0.8485
Product of -5.2 and -0.133.
0.6916
What is the product of -0.1 an | {
"pile_set_name": "DM Mathematics"
} |
rt(1331) - sqrt(1331)*4))*-1.
-2702 + 231*sqrt(11)
Simplify (6*(-5*(-2*sqrt(66) - sqrt(66)) + (sqrt(66) - sqrt(66)*-2)*-2))/(4*sqrt(66)/sqrt(11) + sqrt(42)/sqrt(252)).
324*sqrt(11)/25
Simplify 5*-1*((sqrt(448) - (3 + sqrt(448) + 0)) + sqrt(70)/((sqrt(40)/sqrt(2))/sqrt(2) + sqrt(10)))**2.
-215/4 + 15*sqrt(7)
Simplify ((-3 + (sqrt(1377) - sqrt(1377)*1)*-3 - (sqrt(1377) - (-3 + (sqrt(1377) - sqrt(1377)*1)))*2)*-2)**2*5.
6480*sqrt(17) + 111780
Simplify (-1*5*(0 + sqrt(343)) + -5*(sqrt(847) - (-4*sqrt(847) + 2)))**2.
-6200*sqrt(7) + 672800
Simplify 3*(-4 + (4 + sqrt(272) + (sqrt(272) - (0 + sqrt(272))) + 0 - (sqrt(272)*-1*5 + (sqrt(272) - (sqrt(272) + sqrt(272) + sqrt(272)*-1*2))))**2).
480*sqrt(17) + 20436
Simplify ((2 + 4*((sqrt(475) + -1 + -1)*1 + 4))*3)**2 + 3.
3600*sqrt(19) + 69303
Simplify 5 + ((1*sqrt(360)*2)/(-5*(sqrt(8) + sqrt(72))))/(-3*((-1*sqrt(36) - sqrt(36))*5)/sqrt(4)).
-sqrt(5)/300 + 5
Simplify (sqrt(121) - (sqrt(121)*1 - sqrt(121)))/sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)) + ((1*sqrt(99)*6)/(-4*(sqrt(9) + sqrt(36)/sqrt(4))))**2.
99/16 + 2*sqrt(11)
Simplify ((sqrt(81)/(sqrt(15)/sqrt(5)) + sqrt(27) - (-2*sqrt(1728) + sqrt(1728)))/(sqrt(225) + 2*sqrt(225) + sqrt(99)/(sqrt(22)/sqrt(2))))**2.
75/64
Simplify (5*-5*2*sqrt(1008))/(sqrt(576)*-3*1*-3).
-25*sqrt(7)/9
Simplify ((sqrt(156)/sqrt(192) - (sqrt(13) + sqrt(1872) + -1))*1*-5)**2 - (3*(sqrt(117) - (sqrt(117) + -1))*-5*-2)**2.
-1275*sqrt(13)/2 + 831325/16
Simplify -4*((sqrt(4200)*-1)/sqrt(6) - ((sqrt(14)/sqrt(2) - sqrt(7))*6 - sqrt(84)/(sqrt(12)*1))) + 2 + 2.
4 + 36*sqrt(7)
Simplify ((sqrt(6000) + (sqrt(6000) - (1*sqrt(6000) - sqrt(6000))) - sqrt(6000))/(sqrt(5) - sqrt(20)/sqrt(4)*2))/(sqrt(66)/(sqrt(99)/sqrt(81))*5).
-2*sqrt(2)/3
Simplify 4*(1 + 0 + (0 + sqrt(405) + 2*sqrt(405))**2 + 4)*-5*-6.
438000
Simplify ((5*((sqrt(63) - (-1 + sqrt(63))) + sqrt(63)))**2 - ((sqrt(63)*1 - sqrt(63))**2 + 1 - sqrt(63))) + 5 + ((3*(sqrt(84)*3 - sqrt(84)))/sqrt(12))**2.
153*sqrt(7) + 1856
Simplify (3*((sqrt(245)*1*-3 - sqrt(245))**2 + -3 + sqrt(245) + -1) - (5 + (5 + sqrt(245) + -1 + -4*sqrt(245)*-1)**2))*6.
-1554*sqrt(5) + 33612
Simplify -3*sqrt(152)/sqrt(8) + sqrt(152)/(sqrt(64)/sqrt(8)) - ((sqrt(931) + -1)*-6*2)**2.
-134208 + 2014*sqrt(19)
Simplify -3 + (sqrt(2736) - sqrt(2736)*-2*6)**2 - (6*sqrt(190)*2)/(sqrt(360)*-2 + sqrt(360) - sqrt(360)).
sqrt(19) + 462381
Simplify 0 + sqrt(2) + (sqrt(50))**2 + (-5 + (sqrt(128) - sqrt(2)))**2 + (-6*(-1 + sqrt(72) + sqrt(72) + sqrt(72)))**2 + -4.
-1365*sqrt(2) + 23533
Simplify -5 + sqrt(209)/(sqrt(11)*-3*3 + sqrt(11) + sqrt(11))*-1 + ((sqrt(190)*-2*-4)/(sqrt(70)/(sqrt(21)/sqrt(3))))**2 + 2.
sqrt(19)/7 + 1213
Simplify (2 + (sqrt(1100) - (sqrt(1100) - (2 + (sqrt(1100) + -2 - sqrt(1100))))))**2 + 1*((2 + sqrt(539) + sqrt(539))**2 + -4).
56*sqrt(11) + 2160
Simplify ((sqrt(200) + 2 + sqrt(200) + sqrt(200) + -1)*3 + (2 + 2 + sqrt(200) - (-1 + sqrt(200) + 0)))**2*-3.
-48792 - 4320*sqrt(2)
Simplify 1 + ((sqrt(3159)*1*-1 - -2*(2*sqrt(3159) + sqrt(3159)))/(sqrt(147)*1 + (sqrt(9)/sqrt(48) - sqrt(3))))**2.
16873/25
Simplify (-3 + (sqrt(567) - (sqrt(567) + -2*(-1 + sqrt(567))))*3 + 5)**2*-2 + -2.
-40858 + 864*sqrt(7)
Simplify (2*(1 + sqrt(448))*-2*-1*-6 + 2)**2.
8448*sqrt(7) + 258532
Simplify -3 + ((-4*sqrt(66)/(2*sqrt(6)) - sqrt(121)/(sqrt(176)*-5)) + 0)**2.
15531/400
Simplify 6*4*1*((-2*sqrt(180) + -2)*-6 - (sqrt(180)*1 + -3 - (sqrt(180) + 1 + -1))**2).
72 + 1728*sqrt(5)
Simplify 1 + (sqrt(605) + -2 + (sqrt(605) + -2*sqrt(605))**2)*-3 + (sqrt(210)/(-1*sqrt(7)))/(sqrt(6) - -6*(2*sqrt(6) - sqrt(6))).
-1808 - 232*sqrt(5)/7
Simplify -1*(sqrt(190)/((sqrt(5) - -1*sqrt(5))*-1)*-4)/((sqrt(128) - (-1*sqrt(128) - sqrt(128))*4) + sqrt(128) + sqrt(128) - 6*(sqrt(128) + sqrt(128)*-2)) + 0.
-sqrt(19)/68
Simplify 2*-3*(-2*sqrt(272)*6 + 3)**2*1*-4.
-6912*sqrt(17) + 940248
Simplify ((1 + (sqrt(52) - sqrt(104)/sqrt(32) - (sqrt(208)*-1 + sqrt(52)))/(sqrt(176)/(sqrt(11) + sqrt(11)*-2)) + -3)*2)**2.
14*sqrt(13) + 893/16
Simplify (-4*(-6*(-4*sqrt(6)/sqrt(2) + -1 - 2*-1*(-1 + sqrt(3) - sqrt(3))) + -4))**2.
10752*sqrt(3) + 30784
Simplify (sqrt(39)/(sqrt(24)/sqrt(8)) + 4*sqrt(39)/sqrt(3))**2 + (sqrt(117) + (5*1*sqrt(117) + sqrt(117))**2)*-6.
-24947 - 18*sqrt(13)
Simplify 1*-3*(0 + (-3*1*(1 + sqrt(2736))*-6)**2).
-2660364 - 23328*sqrt(19)
Simplify (-4 + sqrt(833)*1*6 + -4 + -3)**2 + -5.
-924*sqrt(17) + 30104
Simplify (3*sqrt(1600))/(sqrt(180)*-6 - sqrt(5)) - ((sqrt(60)/(sqrt(36)/sqrt(3)*-1))**2 - (sqrt(5)*-1 + 5 + -3)).
-61*sqrt(5)/37 - 3
Simplify -5 + sqrt(91)/sqrt(7) + (sqrt(468) + 1 - sqrt(13)) + ((sqrt(117)*3)/sqrt(9))**2 + ((sqrt(325) - sqrt(13)) + 2)**2.
22*sqrt(13) + 325
Simplify (4 + (-4*sqrt(7623)*1 - sqrt(7623))/(sqrt(144)/sqrt(4) + sqrt(9) + sqrt(9) - (sqrt(144) + sqrt(9))*-1) + -2)**2.
-220*sqrt(7)/9 + 21499/81
Simplify ((-5 + 5*(sqrt(252) + 0 - sqrt(252)) - -4*-5*(sqrt(252) - (0 + sqrt(252))))*-3)**2 + 2.
227
Simplify 3*(1 + -3*sqrt(17)*4 + -5) + (4*sqrt(102)*-1 - sqrt(102))/((sqrt(864) - -2*sqrt(864)) + sqrt(6)).
-1337*sqrt(17)/37 - 12
Simplify (((sqrt(5082)*2 - sqrt(5082) - sqrt(5082))*5)/(sqrt(6)*-2*-3*-5))**2.
0
Simplify -4 + ((sqrt(28)/sqrt(4) + 5 - (-5 + (sqrt(7) - (-1 + sqrt(7))) + sqrt(7))) + -5 - (sqrt(336)/(sqrt(12)*-1))/(sqrt(144)*-1)) + 4.
-sqrt(7)/6 + 4
Simplify -4 + -2*sqrt(180)*1 + ((sqrt(55)/(-3*sqrt(11)))**2 - sqrt(1000)/sqrt(8)) + -4.
-17*sqrt(5) - 67/9
Simplify 4 + (1*sqrt(4500) + -3)**2 - ((1*3*sqrt(500))**2 + sqrt(500) + 3 + -5).
-190*sqrt(5) + 15
Simplify ((sqrt(425) + (sqrt(425) - (sqrt(425) + 0)) + 4)*-1 + (sqrt(425) + (sqrt(425) - sqrt(425)*2) + -2 - sqrt(425)) + -2)**2 + 3 + -5.
160*sqrt(17) + 1762
Simplify ((1*sqrt(6300))/(sqrt(36) - -2*sqrt(36)) + 5*(sqrt(700) + -2 + sqrt(700)) + -1)**2.
-6710*sqrt(7)/3 + 652264/9
Simplify (-3*6*(sqrt(3388) + sqrt(3388) + -3))**2 + (-1*-3*-2*sqrt(112))**2.
-85536*sqrt(7) + 4397796
Simplify (-5*(sqrt(170) - (2*sqrt(170) - sqrt(170))*6 - sqrt(170) - -5*(sqrt(170) + 2*sqrt(170))))/(2*(-4*-2*sqrt(490) + sqrt(490))).
-5*sqrt(17)/14
Simplify -4 + (((sqrt(162)*-1*2 + -2)*6)**2 - (((2 + 0 + sqrt(162))*4)**2 + 3)).
2016*sqrt(2) + 20809
Simplify 2 + sqrt(2) + -5 + 1*(sqrt(2) + sqrt(16)/sqrt(8)) - (-5 + (sqrt(10) - sqrt(1000)*-2)/sqrt(5))**2.
-910 + 213*sqrt(2)
Simplify ((4*2*sqrt(153) + sqrt(153) + (-2*sqrt(153) + sqrt(153))*-3)/((sqrt(99) - 1*-1*sqrt(99))/(sqrt(77)/(sqrt(28)/sqrt(4)))))**2.
612
Simplify (-3*(-5*sqrt(171)*2 - sqrt(171)*2*-4))/(-3*sqrt(576)*-2 + sqrt(576) + 2*sqrt(576)*-4).
-3*sqrt(19)/4
Simplify -4*-4*(sqrt(242)*-2)**2 + ((sqrt(8) - (sqrt(24)/sqrt(3)*-4 + sqrt(8)))/(sqrt(4) - ((sqrt(28)/sqrt(28) - sqrt(4)) + sqrt(4))))**2.
15616
Simplify (sqrt(512) - (sqrt(512)*2*-4 - sqrt(512)) - 4*(sqrt(512)*1 - sqrt(512)))/(-1*(sqrt(4) + sqrt(16)) - (sqrt(1764) - sqrt(4))).
-80*sqrt(2)/23
Simplify -3*(2 + -1 + (sqrt(63) - (2 + sqrt(63))) + 2)*5*-6*4.
360
Simplify ((-4 + 2 + sqrt(704) + sqrt(704))*1*-3 + (sqrt(33)/sqrt(3)*5 + 4 + sqrt(22)/sqrt(2))*-1 + 5)**2.
-756*sqrt(11) + 32125
Simplify ((-5*sqrt(152)*2 - (sqrt(152) - -2*sqrt(152))*1)*1)/((sqrt(216)*-3)/(4*sqrt(6)/sqrt(2)))*-2.
-104*sqrt(19)/9
Simplify -3*sqrt(24)/(sqrt(36)/sqrt(3)*-4) - (sqrt(12)*2*1)/(sqrt(60)/(2*sqrt(10))).
-13*sqrt(2)/4
Simplify -2*(-2 + (sqrt(243) + ((sqrt(243) + -1 + sqrt(243))**2 - sqrt(243)))*4) + (2 + (sqrt(192) - (sqrt(192) + 0)) + 5 + 1)**2.
-7716 + 288*sqrt(3)
Simplify -4*((2*(0 + sqrt(176))*4)**2 + -1 + (1 + sqrt(891) + sqrt(891) + 5 + sqrt(891))**2).
-77272 - 1296*sqrt(11)
Simplify -3 + sqrt(147) + 1 + 5 + ((sqrt(132)/(sqrt(8)/sqrt(2)))/((sqrt(11)*1 + sqrt(11))*5))**2 + 1.
403/100 + 7*sqrt(3)
Simplify -2 + -6*(((sqrt(288) - (-2 + -3 + sqrt(288))**2) + sqrt(288))*-2 - (((sqrt(288) - (sqrt(288) + -3 - sqrt(288)))*-5)**2 + 4)).
12528*sqrt(2) + 40816
Simplify -5*(-6*sqrt(48) + 0 + -1*sqrt(1728) + 1)**2.
-34565 + 480*sqrt(3)
Simplify (3 + 2*-3*(2 + sqrt(704) + -4 - sqrt(704) - sqrt(704) - (sqrt(704) + 0 + sqrt(704) + 5)))**2.
12960*sqrt(11) + 230121
Simplify -1*(3 + 1 + (-3 + sqrt(171)*-1 - sqrt(171) - -5*-1*sqrt(171))**2).
-8392 - 126*sqrt(19)
Simplify (-5*(sqrt(36) + sqrt(36)*-4)*-4)/(sqrt(432)*-2*-5).
-sqrt(3)
Simplify 1 + (-4 + -1*(sqrt(2299) - (-2 + -2*sqrt(2299))**2) - (sqrt(2299)*-3 + -5 + (sqrt(2299) + ((sqrt(2299) - -3*sqrt(2299)) + sqrt(2299) | {
"pile_set_name": "DM Mathematics"
} |
- 6. Let r be a(5). Let o = 202 - r. Let h = 190 + -179. What is the highest common factor of h and o?
11
Let s = 313 - 2008. Let n be s/(-27) + 4/18. What is the highest common divisor of 7 and n?
7
Let o(h) = h**3 + 14*h**2 + 14. Let p be o(-14). Let g = 27 - p. Calculate the greatest common factor of g and 13.
13
Let f(i) = 6*i**2 - 2*i - 11. Let l be f(5). Let j = l + -30. What is the highest common factor of 9 and j?
9
Let g = 2693 + -1856. Calculate the highest common divisor of g and 31.
31
Let h be (-15 + 16)/((-1)/(-62)). Let f be (-2)/(-8) - (-1855)/20. What is the greatest common factor of f and h?
31
Let r be 0/(-15) + (69 - -1). What is the greatest common divisor of r and 4?
2
Let b be 3 - (1 + 3) - 78/(-6). Let f be 2 + -2 - (4 + -4). Let g = f + 3. Calculate the greatest common factor of g and b.
3
Suppose -4*z = 64 - 196. Let g = z - -5. What is the highest common divisor of 266 and g?
38
Let l = 192 - 172. What is the highest common divisor of l and 540?
20
Let y(f) = -4*f + 162. Let k be y(33). What is the highest common divisor of 195 and k?
15
Suppose 0 = -5*t + 13 + 12. Suppose -t*q - 5 = -20. Calculate the greatest common factor of 2 and q.
1
Let p be (-2)/(-6) + 195/9. Let t(c) = 5*c - 9. Let v be t(4). Let q = v + 22. Calculate the highest common factor of q and p.
11
Suppose 0 = 2*y + 3*n + 8, 3*n - 4*n - 12 = -4*y. Suppose 150 = 3*f + y*f. What is the greatest common divisor of 45 and f?
15
Let d be ((-11)/(-3))/((-1)/(-33)). Suppose 8*l + 32 = 120. What is the highest common factor of d and l?
11
Let h = 1424 - 1209. What is the highest common divisor of h and 15?
5
Let p be (((-27)/(-6))/(-1))/(33/(-44)). Calculate the greatest common divisor of p and 12.
6
Suppose -405 = -5*u + 65. What is the highest common factor of 47 and u?
47
Suppose 2*v - 3*d = v + 12, 6 = v - d. Suppose -15 = 2*l + v*l. Let n be l - -19 - (-2 - 0). What is the greatest common divisor of n and 45?
9
Suppose -5*z = s - 316, -s - 54 - 78 = -2*z. What is the highest common divisor of 120 and z?
8
Let r be ((-16110)/450)/(2/20*-2). Calculate the highest common divisor of r and 1.
1
Suppose -418*n + 419*n = 50. Calculate the highest common divisor of n and 2.
2
Suppose 80*n - 100 = 75*n. Suppose o - 45 = -5*i, -2*i + 27 = 2*o + 1. Calculate the highest common divisor of i and n.
4
Let c(m) = -229*m - 3. Let g be c(-2). Calculate the greatest common divisor of g and 35.
35
Suppose -3*n + 2*n = -33. Let g = 40 - n. What is the greatest common factor of 7 and g?
7
Let t = 501 + -225. Suppose 2*i = -5*v + 126, 4*i - 3*v + v = t. What is the greatest common divisor of 51 and i?
17
Suppose -7*v + 716 = 639. Suppose w = 3*q + 166, 0 = w + 5*q + 41 - 191. Suppose 5*a = w + 5. Calculate the highest common factor of v and a.
11
Suppose f - r = -2*r + 29, -57 = -2*f - r. What is the greatest common divisor of f and 8?
4
Suppose -2*c + 16 + 58 = 0. Let r be 7/(-21) + c/3 - 1. What is the highest common divisor of r and 176?
11
Suppose n + 1 - 4 = 0. Suppose 7*f - 48 = n*f. Let m be (1 - 3)*(-378)/f. What is the greatest common factor of m and 7?
7
Let i(y) = -136*y - 214. Let n be i(-6). What is the highest common factor of 14 and n?
14
Let f(b) = b**3 + 9*b**2 - 12*b - 7. Let g be f(-10). Calculate the highest common factor of g and 1651.
13
Suppose 0 = u, -i = 2*i + 4*u - 12. Suppose -y - 2*q + 48 = 3*q, -y + 43 = i*q. Calculate the highest common divisor of 115 and y.
23
Let z(y) = -2*y**2 + 17*y + 11. Let p be z(9). Let x be 85/p + 5/(-10). What is the highest common divisor of x and 210?
42
Suppose 4*d - 50 = -d. Suppose -3*v - 1 = -d. Suppose -y + 1 = h, 2*y + 2*h = -v*h - 1. What is the greatest common factor of 22 and y?
2
Suppose -947 = -5*m + 2*b, -946 = -17*m + 12*m + b. What is the greatest common factor of m and 81?
27
Let n = 5 - 2. Suppose u + 2*s - 8 = 1, -4*s + 16 = 0. Suppose -u = n*i - 7. What is the highest common factor of i and 10?
2
Let i(y) = -8*y - 36. Let w be i(7). Let f = w - -102. Calculate the highest common divisor of 20 and f.
10
Let s = 83 - 61. Suppose 0 = 3*h - 2*n - 140 - 578, -4*h = -5*n - 948. Calculate the greatest common divisor of s and h.
22
Let i be (480/(-1280))/((-5)/80). Suppose 2*q = -5*o - 0*q + 266, 5*o - 2*q = 274. Let d = o + -36. Calculate the greatest common divisor of i and d.
6
Let p(n) = -8*n - 49. Let o be p(-5). Let r be 50*15/(-10)*3/o. What is the highest common factor of 25 and r?
25
Suppose -2*q - 1120 = -6*q. Let c = 1301 + -1266. What is the greatest common divisor of q and c?
35
Let a(c) = c**2 - 3*c - 5. Let l be a(9). Let b = 26 - 18. Suppose b*x - 53 - 3 = 0. Calculate the greatest common factor of l and x.
7
Let h = -11 + 171. Suppose 4*d + 100 = 9*d. What is the highest common divisor of h and d?
20
Suppose -4*i - 1 - 3 = -5*o, -3*i = 2*o - 20. Let l be 4/(i/(-162)*-3). Suppose 7*h - h = 108. What is the highest common factor of l and h?
18
Let o(v) = v**3 + 5*v**2 + 2*v - 3. Let n be o(-4). Suppose -18 = n*y - 6*y. Suppose -p + y = 2*p. What is the highest common factor of 42 and p?
6
Let x = -9 + 21. Suppose -4 = 10*i - x*i. Suppose 0 = 5*g - q - 60, i*g + 5*q + 4 = 1. Calculate the highest common divisor of 99 and g.
11
Let q = 183 - 106. Suppose 3*j = -3*g + 15, 0 = 5*j - j - g - 30. Calculate the greatest common factor of q and j.
7
Suppose 0 = -5*x + 2*y + 75, 4*x - y = -6*y + 60. Let u be 2/(-3) + 1990/x + 1. What is the highest common factor of 19 and u?
19
Let t be (-8)/(-14) - (33704/(-28))/11. What is the greatest common factor of t and 165?
55
Let y = 211 - 117. Suppose o - 11*o = -7*o. Suppose -5*m + 56 + y = o. What is the highest common factor of m and 20?
10
Let w(g) = g**3 + 3*g**2 - 11*g - 1. Let s be w(-5). Let i be 6 + s*5/20. Calculate the highest common factor of i and 1.
1
Let b = 11 + -21. Let l be -32 + -1 - (-30)/b. Let n = l + 53. What is the highest common factor of 153 and n?
17
Suppose 0 = -5*z + 4*t + 2974, z + 40 = 5*t + 639. What is the highest common divisor of 36 and z?
18
Suppose -3*t + 899 = m, 3*m - 1671 = -2*t + 1019. What is the highest common factor of 7 and m?
7
Let d be 1/(1/(-463) - 0). Suppose -q - q = -c + 658, -q - 3*c - 343 = 0. Let l = q - d. Calculate the greatest common divisor of l and 22.
22
Suppose 6*a - 22*a + 12000 = 0. Suppose -9*u - a = -19*u. What is the highest common divisor of u and 15?
15
Let x(h) = 21*h**3 - 2*h**2 + 3*h - 1. Let n be x(2). Suppose -2*b + 3*m = 389 - 428, 69 = 5*b + 2*m. What is the highest common factor of n and b?
15
Let u(m) be the first derivative of m**4/4 + 8*m**3/3 + m**2/2 + 18*m + 13. Let v be u(-8). Calculate the highest common divisor of 80 and v.
10
Let n be -2*(-4 + 0)/4. Suppose 12 - n = x. Let l = x - -2. Calculate the greatest common divisor of l and 60.
12
Suppose -8*s = 54 + 42. Let c be (8/s - -1)*66. What is the highest common factor of 66 and c?
22
Let c = -1 + -2. Let o be (12 - 5)/(c*2/(-162)). What is the highest common factor of 21 and o?
21
Let j(o) = -9*o**2 + 83*o - 5. Let h be j(9). What is the highest common factor of h and 767?
13
Suppose -2*n - 23 = -383. Let s be ((-2)/(-4))/(6/n). Suppose -3*p = -t + s, t + 3*p - 4*p - 25 = 0. What is the highest common factor of 15 and t?
15
Let a(q) = 23*q - 11. Let l be a(7). Calculate the highest common factor of 75 and l.
75
Let c be (-273)/(-5) - 6/(-15). Let m = c + -24. What is the highest common divisor of 155 and m?
31
Let l(c) = c**3 + 5*c**2 + c + 5. Let b be l(-3). Calculate the greatest common divisor of 40 and b.
20
Let o(r) = r**2 + r + 93. Let a be o(0). Suppose -u + 3*u - 5*p - 114 = 0, 4*u = 4*p + 240. What is the highest common divisor of u and a?
31
Let k = 1370 + -1258. What is the greatest common divisor of k and 128?
16
Suppose 4*x = -5*a + 3*x + 2100, 5*x + 1260 = 3*a. What is the greatest common divisor of a and 5?
5
Suppose -19*c + 375 = 14. Calculate the highest common factor of c and 589.
19
Let v be ((-5)/5)/((-1)/65). Let p be (4 - -2)/((-27)/(-117)). What is the highest common factor of v and p?
13
Let h(p) = -p**2 - 7*p - 6. Let o be h(-5). Suppose -3*g - 3*w + 54 = 0, -o*g + 4*w + 5 = -27. What is the highest common factor of 104 and g?
13
Suppose -4*s - 667 = 15*i - 18*i, 5*i - 1131 = -3*s. What is the | {
"pile_set_name": "DM Mathematics"
} |
, 5, -2?
120
Which is the smallest value? (a) -3 (b) 0.6 (c) -2/137
a
What is the third smallest value in 153, 3, 1/7, 7?
7
Which is the third biggest value? (a) 5/3 (b) -0.4 (c) -31
c
What is the biggest value in 2, 0, 0.29?
2
Which is the third biggest value? (a) -3/4 (b) -0.4 (c) -0.08
a
Which is the second smallest value? (a) 5 (b) 0.6 (c) 0.2 (d) 25 (e) 14
b
What is the third smallest value in -0.5, -1, -79, 0.4?
-0.5
What is the fourth biggest value in 0, -2/17, -0.04073, -2/3, 0.5?
-2/17
Which is the second smallest value? (a) -1.2 (b) 0.192 (c) -2
a
Which is the fourth biggest value? (a) -0.5 (b) -5/2 (c) 0.5 (d) 6
b
Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -12/25
c
What is the third biggest value in 2.44, -1, -5?
-5
Which is the third biggest value? (a) -3 (b) -21 (c) 9
b
Which is the second biggest value? (a) 1/7 (b) -13 (c) -2/37
c
Which is the second biggest value? (a) 1 (b) 0.095 (c) 1/3 (d) -3 (e) -1/4
c
Which is the biggest value? (a) -3/2 (b) -2 (c) 89
c
What is the third smallest value in 5, -4, 6, 106?
6
Which is the second smallest value? (a) -3/2 (b) 5 (c) -2 (d) -2/55
a
Which is the third smallest value? (a) 1/3 (b) -1/4 (c) 0 (d) -14/5
c
What is the biggest value in 2/9, 2/11, -2?
2/9
What is the second smallest value in -1/6, -19, 3?
-1/6
Which is the smallest value? (a) -1/3 (b) -25 (c) 0.038
b
Which is the third biggest value? (a) -2 (b) 2 (c) -15
c
What is the biggest value in -0.5, 1/3, 1/27?
1/3
What is the third smallest value in -0.07, -0.5, 0.1, 4?
0.1
What is the second smallest value in -0.96, 0, -2/29?
-2/29
What is the second smallest value in -6/7, 0.01, 2.8?
0.01
What is the fifth biggest value in -3/5, 220, 2/13, 1, 4/3?
-3/5
What is the fourth smallest value in 2/9, 0, 4.3, 1?
4.3
Which is the third biggest value? (a) 5.4 (b) 2/11 (c) -0.4 (d) -2 (e) -1/5
e
What is the second smallest value in -1/20, 2/29, 11?
2/29
What is the fourth smallest value in 2/11, -2/185, -0.2, -4?
2/11
Which is the second biggest value? (a) 15 (b) -1 (c) -924
b
Which is the fourth biggest value? (a) -4 (b) 6/5 (c) -43.2 (d) -0.1 (e) -0.2
a
What is the smallest value in -2/3, 40/33, -4?
-4
What is the second biggest value in -5, 9, -1/2, 5?
5
Which is the second biggest value? (a) 0.5 (b) -0.5 (c) 6/79 (d) 3/8
d
Which is the third smallest value? (a) 45 (b) -0.1 (c) -0.3
a
Which is the third biggest value? (a) -1 (b) 0 (c) 100 (d) -5
a
Which is the third biggest value? (a) -22 (b) -5 (c) 3 (d) 0 (e) 0.4
d
Which is the smallest value? (a) 0.4 (b) -4 (c) 3 (d) 0.3
b
Which is the biggest value? (a) 3/4 (b) -5/3 (c) 0 (d) 0.29
a
What is the third smallest value in -2/19, -235, 0.2, -0.1?
-0.1
What is the biggest value in -10/19, -1.4, -2/5, 3, -3/8?
3
Which is the third smallest value? (a) -2/9 (b) -0.2 (c) 0.6 (d) -0.1 (e) 1/43
d
What is the second smallest value in 0.13, -5/4, 2, 1?
0.13
What is the smallest value in -1/32, 1/2, 0.07?
-1/32
Which is the smallest value? (a) -5 (b) 1 (c) 59/3
a
What is the fourth biggest value in -5, 3, 2/9, -1/4, -83?
-5
What is the fifth smallest value in -5/3, 2, -2, -0.03, -1?
2
What is the third biggest value in -396/25, 3/2, -0.3?
-396/25
What is the second biggest value in 0.5, 1, 0.1, 2.5, 5?
2.5
What is the fifth biggest value in -4, -3, -33, -5, 35.1?
-33
Which is the second biggest value? (a) -2/11 (b) 24 (c) -4 (d) -3 (e) -5
a
What is the second smallest value in 1/3, -0.1, 1/6, 1/5, 12/7?
1/6
What is the third smallest value in 1, 0, -123.1, 2, 1/4?
1/4
What is the smallest value in 2/9, 0.05, -5, -2/5?
-5
Which is the second biggest value? (a) 0.2 (b) 2/5 (c) -3 (d) 2/337
a
What is the biggest value in 0.3, 0.13, -126?
0.3
Which is the smallest value? (a) -5 (b) -1/6 (c) -0.02 (d) -15
d
Which is the biggest value? (a) -6/17 (b) -22 (c) -0.3 (d) 5
d
Which is the smallest value? (a) 0.3 (b) -18/7 (c) -5 (d) 1/10
c
Which is the second biggest value? (a) 5 (b) -70/9 (c) -0.5
c
What is the smallest value in -2, 1, 0.014?
-2
What is the second biggest value in -2/7, 4, -0.3?
-2/7
Which is the biggest value? (a) 1514 (b) 5 (c) -4 (d) -2/17
a
What is the third biggest value in 12, -0.5, -2, -1?
-1
Which is the second smallest value? (a) -2.2 (b) -1 (c) -8
a
Which is the second biggest value? (a) -0.3 (b) -1.3 (c) 1/5 (d) 0.4
c
Which is the third biggest value? (a) 4 (b) -17 (c) -2/7
b
What is the biggest value in -3, 5, -1/6, -17?
5
Which is the biggest value? (a) 2/11 (b) -11 (c) -1 (d) 9
d
What is the second smallest value in 0.4, -0.2, -1/9, -1, 1/7?
-0.2
What is the fifth smallest value in -26, 0.4, 3, -2/17, 19?
19
Which is the third smallest value? (a) -2/9 (b) -0.05 (c) 3 (d) -3 (e) 0.1
b
Which is the smallest value? (a) 57 (b) 0.3 (c) -5
c
What is the fifth smallest value in -0.2, -5, -2, -16/5, -0.3?
-0.2
Which is the second smallest value? (a) -1/7 (b) 3 (c) 0.26
c
What is the smallest value in 14, 0.2, -4, 2/23?
-4
What is the fourth biggest value in 1/2, -4, 2/13, 2/85?
-4
Which is the smallest value? (a) 7 (b) 3 (c) 1/3
c
What is the second smallest value in 318, 4, 0.09?
4
What is the smallest value in 6/11, -0.1, 6/5, -3/74?
-0.1
What is the smallest value in 26, 2/5, -3?
-3
What is the third biggest value in 40, 2, -2/3, -2, 0.2?
0.2
Which is the biggest value? (a) 1/6 (b) 6 (c) -1 (d) -1/5
b
Which is the second smallest value? (a) -0.7 (b) 0.1 (c) 3 (d) 5
b
Which is the biggest value? (a) 0.18 (b) 4 (c) 0.5 (d) 0.04
b
Which is the second smallest value? (a) 0.21 (b) 2/23 (c) -2
b
What is the second biggest value in 0.9, -3, 3?
0.9
Which is the biggest value? (a) 0 (b) -5 (c) 1 (d) -16
c
What is the second smallest value in 0, -0.055, 2/3, 4?
0
What is the second biggest value in 2/3, 1/2, 1?
2/3
Which is the third smallest value? (a) 1 (b) -29 (c) 0.7
a
What is the smallest value in 2/3, -4, -44?
-44
What is the second smallest value in -202, -29, -0.3?
-29
Which is the smallest value? (a) -4 (b) 2/7 (c) -10/3 (d) 0.2 (e) -0.4
a
What is the biggest value in 1, 4, -258?
4
What is the second smallest value in -4/11, 24, -0.09?
-0.09
Which is the second smallest value? (a) -0.4 (b) -1 (c) -4 (d) 0.5
b
What is the third biggest value in 2, 3, -4/9?
-4/9
What is the smallest value in 5, -3, -101?
-101
Which is the third smallest value? (a) -3/11 (b) -7/4 (c) 15
c
What is the second smallest value in 3, -5, -1, 0.4?
-1
What is the third biggest value in -4, -5, -1, 2, 19/4?
-1
Which is the third smallest value? (a) -0.1 (b) 1 (c) -2.6
b
What is the smallest value in 2, 310, -0.2, -3/7?
-3/7
Which is the biggest value? (a) 1 (b) -0.1 (c) -16 (d) 109
d
What is the third smallest value in 1/10, 17/3, -0.034?
17/3
What is the third biggest value in -4, -0.1, 41?
-4
What is the third biggest value in -11, -7, -1/5?
-11
Which is the third smallest value? (a) -2/5 (b) 60 (c) -2
b
Which is the third biggest value? (a) 5 (b) -66 (c) -3 (d) -1/4
c
Which is the second biggest value? (a) 11 (b) 1142 (c) -1
a
Which is the second biggest value? (a) 0.5 (b) -3 (c) -68
b
What is the third smallest value in 0.4, -38, 2, -6/11?
0.4
Which is the third smallest value? (a) 3.4 (b) 10/9 (c) 0.02
a
What is the biggest value in 2/3, -4, 1, 2, -2?
2
Which is the fourth smallest value? (a) -0.5 (b) -5.9 (c) -0.2 (d) 24/5
d
Which is the second smallest value? (a) 3 (b) 0.46 (c) -2/7 (d) -1/7 (e) 0.5
d
What is the fourth biggest value in 2, 3/5, 0, 964?
0
Which is the biggest value? (a) 2 (b) -1/7 (c) 1/8 (d) -1 (e) 2/5
a
Which is the fourth biggest value? (a) 1 (b) 0.047 (c) 2/15 (d) -0.05
d
Which is the fourth smallest value? (a) -0.1 (b) 2 (c) 0.1 (d) 1/4 (e) 2/7
e
What is the second smallest value in 6, -2/21, -1/3?
-2/21
What is the second biggest value in -2/1753, 1, -2, 0.2, -0.1?
0.2
Which is the third biggest value? (a) 0.2 (b) 2/39 (c) 3 (d) -5 (e) 3/5
a
Which is the second biggest value? (a) 0 (b) 5 (c) -0.3 (d) 741
b
Which is the second smallest value? (a) 1 (b) -2 (c) -1/4 (d) -12
b
What is the biggest value in -1/7, 48, 2/9?
48
What i | {
"pile_set_name": "DM Mathematics"
} |
be the second derivative of -5*l**3/6 - 20*l. Let h(p) = -67*p + 140*p - 72*p. What is c(h(i))?
-5*i
Let y(i) = 19*i**2. Let c(o) = -202303*o. Determine y(c(f)).
777603572371*f**2
Let q(k) = 2*k**2. Let b(z) = -393159*z**2. Give q(b(j)).
309147998562*j**4
Let l(m) = 186*m. Let a(k) = k**2 - 5*k + 1. Let i(s) = 8*s**2 - 45*s + 9. Let n(p) = -18*a(p) + 2*i(p). What is l(n(w))?
-372*w**2
Let o(r) = 662*r**2. Let p(x) = -x**2 - 20*x. What is p(o(j))?
-438244*j**4 - 13240*j**2
Let f(u) be the second derivative of -3*u**4/4 + 253*u. Let o(x) = x**2 + 2*x**2 - 4*x**2. What is f(o(v))?
-9*v**4
Suppose 5*r - 23 = -33. Let d(g) = 38*g - 4. Let j(c) = 19*c - 2. Let a(x) = r*d(x) + 5*j(x). Let p(z) = z. Determine a(p(s)).
19*s - 2
Let v(g) = 4*g - 7. Let k(d) = 5*d**2. Let s(b) = -28*b**2. Let f(c) = 11*k(c) + 2*s(c). Give f(v(w)).
-16*w**2 + 56*w - 49
Let z(y) = 24*y. Let b(x) be the second derivative of 7*x**3/6 + 2*x + 6. Give z(b(j)).
168*j
Let c(d) = 21*d - 53*d - 3*d**2 - 158 + 158 + d**2. Let x(i) = 6*i. Give x(c(z)).
-12*z**2 - 192*z
Let d(r) = 31*r**2 + r. Let f(n) = -3*n - 6. Let u(c) = 12*c + 26. Let a(k) = -26*f(k) - 6*u(k). What is a(d(j))?
186*j**2 + 6*j
Let x(h) = -2*h. Let z(p) = 223573*p**2. What is z(x(k))?
894292*k**2
Let h(b) be the first derivative of 28*b**3/3 - b + 549. Let c(f) = 8*f**2. Calculate h(c(q)).
1792*q**4 - 1
Let w(c) = -c**2. Let p(r) be the first derivative of 7*r**6/360 + 7*r**3/3 + 30. Let q(u) be the third derivative of p(u). Calculate q(w(f)).
7*f**4
Let f(i) = 205*i - 392*i + 196*i. Let y(p) = 2*p. Let b(z) = -2*z. Let k(r) = -2*b(r) - 3*y(r). Determine f(k(u)).
-18*u
Let q(i) = 144*i + 4. Let n(s) = 18*s**2. What is q(n(c))?
2592*c**2 + 4
Let n(m) = -22*m**2. Let k = 4 + 4. Suppose -3*w - 29 = -z - k*w, -3*z = -4*w - 11. Let p(a) = -z - a + 9. Calculate n(p(b)).
-22*b**2
Let r(y) = 4 - 7*y - 4. Let u(n) = -2*n**2 - 3. Let j(q) = q**2 + 1. Let w(d) = 6*j(d) + 2*u(d). What is r(w(b))?
-14*b**2
Let f(z) be the third derivative of 0 + 0*z - 8*z**2 + 0*z**3 - 7/8*z**4. Let o(v) = -v. Calculate f(o(s)).
21*s
Let l(k) = 3*k - 6201. Let q(m) = -m. Calculate l(q(h)).
-3*h - 6201
Let d(a) = -a + 312 + 0*a - 292 + 2*a. Let x(i) = -i. Give x(d(u)).
-u - 20
Let g(t) be the first derivative of -t**5/15 + 10*t**2 - 31. Let o(h) be the second derivative of g(h). Let j(a) = 6*a. What is j(o(u))?
-24*u**2
Let h(k) = -k + 1. Let c(q) = -6*q + 7 + 6*q - 5*q - 3*q. Let b(l) = 3*c(l) - 21*h(l). Let t(f) = -13*f. What is t(b(i))?
39*i
Let w(z) be the second derivative of -z**4/12 - 33*z. Let s(n) = -2*n + 22. Determine s(w(m)).
2*m**2 + 22
Let p(a) = -8*a**2. Let l(x) be the third derivative of x**4/6 - 22*x**2 + 3. What is l(p(k))?
-32*k**2
Let i(j) = 8*j. Let h(k) = 11590*k**2. Give h(i(l)).
741760*l**2
Let b(t) = -2*t**2. Let v(o) = -17*o**2 - 6*o. Suppose 0*r - 5*r = 30. Let l(y) = y**2 + y. Let s(d) = r*l(d) - v(d). Give b(s(f)).
-242*f**4
Let w(d) = 102*d**2 - 17*d - 17. Let v(r) = -25*r**2 + 4*r + 4. Let q(i) = 17*v(i) + 4*w(i). Let o(l) = -4*l**2. Determine o(q(y)).
-1156*y**4
Let n(z) = -2*z. Let k(i) = 7*i**2 + 158*i + 12. Let c(m) = 6*m**2 + 159*m + 10. Let w(o) = -6*c(o) + 5*k(o). Calculate n(w(a)).
2*a**2 + 328*a
Let m(u) = -13*u**2 - 3 + 3 + 15*u**2. Let i(c) = 2*c - c + 3*c + 2*c. Let y(b) = -19*b. Let r(s) = 7*i(s) + 2*y(s). Give r(m(p)).
8*p**2
Let f(u) = u**2 + 10*u + 23. Let t be f(-7). Let o(y) = 190 + 2*y**t + 189 - 379. Let k(z) be the third derivative of -z**5/30 - z**2. What is o(k(m))?
8*m**4
Let q = -102 - -106. Let a(n) = q*n - 32*n + 4*n - 31*n. Let t(w) = -2*w**2. Give a(t(s)).
110*s**2
Let w(m) = m + 4. Let q(d) = -2. Let z(t) = -2*q(t) - w(t). Let k(o) = 110*o**2. Give k(z(u)).
110*u**2
Let y(k) = 24*k**2 + 2*k - 6*k + 4*k - 19*k**2. Let v(g) = g + 6*g + 2*g. Give y(v(b)).
405*b**2
Let a(g) be the first derivative of 4*g**3/3 + 27. Let f = -7 - -10. Let c(q) = q - f*q + 5*q. What is c(a(x))?
12*x**2
Suppose 0 = -2*j + 7 - 1. Let o(c) = 3 + 1 - 2 - j. Let w(d) = 4*d - 22. Let h(y) = -132*o(y) + 6*w(y). Let b(l) = l**2. Calculate b(h(t)).
576*t**2
Let c(x) = 28110*x**2. Let l(i) = -5*i**2. What is l(c(n))?
-3950860500*n**4
Let k(v) = 3*v**2. Let g = -77 - -79. Let w(a) = -23*a**g + 20*a**2 - 5 + 5. Calculate k(w(s)).
27*s**4
Let w(n) = 22*n - 26. Let k(v) = 16*v. What is k(w(h))?
352*h - 416
Let n(f) = 28*f - 3. Let j(i) = -2181*i**2 + 1092*i**2 + 1090*i**2. Give j(n(s)).
784*s**2 - 168*s + 9
Let y(x) = 21*x. Let u(j) = 551*j - 58. Let r(q) = 29*q - 3. Let p(k) = 58*r(k) - 3*u(k). Give p(y(o)).
609*o
Let o(x) = -2*x. Let q(t) = -258*t**2 - 4*t - 3. What is o(q(s))?
516*s**2 + 8*s + 6
Let t(g) = -257*g. Let v(m) = 2 + 2381*m - 2 - 2382*m. Determine v(t(q)).
257*q
Let u(k) = 1293*k**2. Let m(c) = 116*c. Give m(u(n)).
149988*n**2
Let c(z) = 413*z**2. Let g(t) = -532*t. Give g(c(r)).
-219716*r**2
Let n(g) be the second derivative of -g**3 - 46*g. Let y(c) = c**2. Calculate n(y(k)).
-6*k**2
Let s(w) = -w**2. Let b(p) = -6993*p**2 + 185*p. Let d(n) = 76*n**2 - 2*n. Let i(a) = -4*b(a) - 370*d(a). What is i(s(t))?
-148*t**4
Let k(c) = -2*c**2. Let t(y) be the third derivative of y**4/24 - 502*y**2. Calculate t(k(p)).
-2*p**2
Let n(h) = -442106*h. Let d(x) = -2*x**2. What is d(n(a))?
-390915430472*a**2
Let b(i) = 2*i**2. Suppose -4*p + 36 = -5*a, 0*a = -2*p + 5*a + 28. Let x(w) = p - 3*w**2 - 4. Give x(b(f)).
-12*f**4
Let m(c) be the third derivative of -c**7/84 + c**5/20 - 29*c**2. Let u(d) be the third derivative of m(d). Let q(i) = i. Give q(u(k)).
-60*k
Let a(s) = s. Let n(m) = -57*m. Let r(t) = -285*t + 1 - 599*t - 1. Let l(f) = -78*n(f) + 5*r(f). Determine l(a(b)).
26*b
Let f(m) = 3*m + 6*m - 5*m. Let i(q) = q**3 - 14*q**2 - 30*q + 4. Let s be i(16). Let w(x) = -s - 3*x - 2*x + 36. Give w(f(c)).
-20*c
Let h(m) be the second derivative of m**4/4 - 16*m. Let u = 7 + -2. Let y(o) = 3*o**2 - u*o**2 - o**2. Give h(y(b)).
27*b**4
Let c(z) = z. Let n(f) = f**2 + 10*f. Let y(u) = u**2 + 11*u. Let v(q) = -4*n(q) + 3*y(q). Give c(v(r)).
-r**2 - 7*r
Let q(a) = 7*a**2 - 5*a - 5. Let h(z) = -4*z**2 + 3*z + 3. Let l(y) = 5*h(y) + 3*q(y). Let t(f) = -4*f**2 + 5 - 79*f - 75*f + 154*f. Determine l(t(u)).
16*u**4 - 40*u**2 + 25
Let p(l) = -2*l**2. Let r(w) = 28 - 3*w**2 + 25 - 50. Calculate r(p(v)).
-12*v**4 + 3
Let k(g) be the second derivative of g**4/12 - g. Let r(h) = -225*h - 5. Let q(p) = 313*p + 7. Let m(t) = -13*q(t) - 18*r(t). Give k(m(o)).
361*o**2 + 38*o + 1
Let v(c) = -2*c**2. Let a(w) = 4254*w**2 + 1. Determine a(v(y)).
17016*y**4 + 1
Let t(x) = -x**2 - 3. Let z(o) = -2*o**2 - 7. Suppose -3*j - 4 = 23. Let n = j - -2. Let m(c) = n*t(c) + 3*z(c). Let f(k) = -2*k. Calculate f(m(r)).
-2*r**2
Let s(b) = 76*b**2 + b. Let k(d) be the first derivative of -d**2/2 - 18. Calculate k(s(o)).
-76*o**2 - o
Let j(q) = 13*q. Let l(o) be the first derivative of 12*o**2 - 106. Give l(j(f)).
312*f
Let c(n) = -74 + 76*n + 52 + 22. Let d(x) = -3*x**2. Calculate d(c(k)).
-17328*k**2
Let i(l) = -5*l**2. Let a(w) be the third derivative of 7*w**4/4 + 75*w**2. Give a(i(b)).
-210*b**2
Let x(q) be the second derivative of -3*q**3 + 14*q. Let r(f) be the third derivative of f**4/12 + 4*f**2. What is r(x(l))?
-36*l
Let y(p) = 21*p + 6. Let f(k) = 24*k + 7. Let l(s) = 6*f(s) - 7*y(s). Let u(m) = -2*m - 16. What is u(l(z))?
6*z - 16
Suppose q - 3*k + 5*k + 5 = 0, -7 = -5*q - 2*k. Let c(o) = -o - 3. Let g(u) = 2*u + 7. Let i(n) = q*g(n) + 7*c(n). Let p(d) = 2*d**2. What is p(i(x))?
2*x**2
Let f(d) = -2*d. Let r(q) = 12 - 5 - 15*q - 5 - 21*q. Determine r(f(g)).
72*g + 2
Let b(r) = 268*r. Let z(q) = -6*q**2 + 16. Give b(z(s)).
-1608*s**2 + 4288
Let p(i) = 57*i**2. Let t(u) = 917*u**2. What is t(p(b))?
2979333*b**4
Let n(z) = 2*z**2. Let u(y) = 16183*y. Calculate u(n(x)).
32366*x**2
Let x(s) = -2227*s - 1. Let v(y) = -92*y - 6. Determine v(x(r)).
204884*r + 86
Let f(i) = -i + 1. Let l(w) = -8*w + 7. Let k(m) = 42*f(m) - 6*l(m). Let b(s) be the third derivative of -s**4/3 - 581*s**2. Determine b(k(h)).
-48*h
Let h(t) = 20*t**2 - 3194*t + 3194*t. Let n(z) be the third derivative of z**5/60 + z**2. Determine h(n(y)).
20*y**4
Let u(h) = 180*h - 2. Let o(b) = -b**2 - 117*b. Give o(u(y)).
-32400*y**2 - 20340*y + 230
Let b(v) be the first derivative | {
"pile_set_name": "DM Mathematics"
} |
es next: -26, -19, -12?
-5
What comes next: -215, -229, -255, -299, -367, -465?
-599
What comes next: -37, -33, -27, -19, -9?
3
What is next in 402, 401, 400, 399, 398, 397?
396
What is the next term in 100, 118, 138, 160, 184, 210, 238?
268
What is the next term in -629, -630, -631, -632?
-633
What is the next term in -41, -72, -103?
-134
What comes next: 7, 7, 1, -11, -29?
-53
What is next in -37, -143, -315, -547, -833, -1167, -1543?
-1955
What is the next term in -140, -125, -94, -41, 40?
155
What comes next: -73, -156, -239, -322, -405, -488?
-571
What comes next: -839, -1679, -2519, -3359?
-4199
What is the next term in 38, 26, -16, -106, -262, -502, -844, -1306?
-1906
What comes next: 233, 460, 687, 914, 1141, 1368?
1595
What comes next: 7177, 7179, 7181, 7183, 7185?
7187
What is the next term in -13, 8, 45, 98, 167, 252?
353
What comes next: 15, 47, 53, 27, -37, -145, -303?
-517
What is next in -2173, -2173, -2165, -2143, -2101?
-2033
What comes next: -40, -69, -84, -79, -48, 15, 116, 261?
456
What is next in 138, -12, -270, -642, -1134, -1752, -2502, -3390?
-4422
What is the next term in -19714, -19708, -19692, -19660, -19606, -19524?
-19408
What is the next term in 36, 62, 88, 114?
140
What is the next term in 68, 123, 178, 233, 288?
343
What is the next term in -8, 7, 32, 67, 112?
167
What is the next term in 146, 159, 194, 263, 378, 551, 794, 1119?
1538
What comes next: -139, -155, -171?
-187
What is next in 1237, 1239, 1241?
1243
What is the next term in 42, 103, 200, 351, 574, 887, 1308?
1855
What comes next: 7, 0, -21, -62, -129, -228, -365, -546?
-777
What comes next: -21901, -43807, -65715, -87625?
-109537
What comes next: -914, -1833, -2766, -3719, -4698, -5709?
-6758
What is next in 2417, 4834, 7251, 9668?
12085
What is next in 7634, 15270, 22906, 30542, 38178?
45814
What is next in -84, -99, -110, -117, -120, -119?
-114
What is the next term in 19, 5, -21, -65, -133, -231, -365, -541?
-765
What comes next: -3707, -3710, -3727, -3764, -3827, -3922, -4055, -4232?
-4459
What comes next: 102, 60, -52, -270, -630, -1168, -1920?
-2922
What comes next: -5, -19, -43, -77, -121, -175?
-239
What is next in -112, -54, 4?
62
What is the next term in 47, 121, 223, 353, 511, 697, 911?
1153
What comes next: -84, -171, -256, -333, -396?
-439
What comes next: 772, 790, 808, 826, 844?
862
What is the next term in -21, -26, -43, -78, -137, -226, -351?
-518
What comes next: -158, -627, -1408, -2501?
-3906
What is next in -47, -67, -93, -119, -139, -147, -137, -103?
-39
What is next in 52, 52, 46, 28, -8?
-68
What comes next: 1215, 1216, 1219, 1224?
1231
What comes next: -877, -947, -1071, -1255, -1505?
-1827
What is the next term in 772, 770, 768?
766
What is next in -113, -107, -99, -89, -77?
-63
What comes next: 839, 1683, 2529, 3377, 4227?
5079
What is next in 10, 13, 18, 25, 34, 45, 58?
73
What comes next: -198, -195, -192, -189, -186?
-183
What is next in -41, -34, -23, -8, 11?
34
What is next in 76, 158, 240, 322?
404
What is the next term in -22, -136, -444, -1042, -2026, -3492?
-5536
What is next in 98, 393, 882, 1565, 2442, 3513?
4778
What is next in 9, 10, 23, 54, 109?
194
What is next in 185, 738, 1659, 2948, 4605?
6630
What comes next: 216, 167, 118, 69, 20, -29?
-78
What is next in 4, -20, -84, -206, -404, -696, -1100, -1634?
-2316
What comes next: 50, 34, 2, -52, -134?
-250
What is the next term in 4, -19, -46, -71, -88, -91?
-74
What comes next: -24, -11, 12, 45, 88?
141
What is next in 309, 299, 275, 231, 161?
59
What is the next term in 295, 275, 245, 199, 131, 35, -95, -265?
-481
What is the next term in 267, 271, 277, 285, 295, 307, 321?
337
What is next in -29, -44, -59, -74?
-89
What is the next term in -84, -105, -142, -201, -288, -409?
-570
What comes next: 72, 68, 52, 18, -40, -128, -252, -418?
-632
What is next in -82, -84, -86, -88, -90?
-92
What comes next: -184, -366, -548, -730, -912, -1094?
-1276
What is the next term in 1424, 5692, 12804, 22760?
35560
What is next in -30, -48, -92, -174, -306, -500, -768?
-1122
What is the next term in -193, -382, -571?
-760
What is the next term in 2033, 2031, 2019, 1991, 1941, 1863?
1751
What comes next: -263, -261, -259, -257?
-255
What is the next term in -199, -213, -253, -331, -459?
-649
What is next in -466, -468, -470, -472, -474?
-476
What is the next term in -20, 34, 88, 142, 196, 250?
304
What comes next: 70, 99, 128, 157, 186, 215?
244
What is next in 911, 965, 1115, 1409, 1895, 2621?
3635
What is the next term in -35, -136, -237, -338, -439, -540?
-641
What is the next term in -20, -22, -24, -26, -28, -30?
-32
What is the next term in -114, -213, -310, -405, -498?
-589
What comes next: -91, -94, -97?
-100
What is the next term in -243, -528, -827, -1146, -1491, -1868, -2283?
-2742
What is next in 113, 99, 81, 59?
33
What is next in -18, -39, -58, -75?
-90
What is next in -54, -106, -146, -174, -190, -194, -186?
-166
What is next in 27, 104, 233, 414, 647, 932?
1269
What comes next: 16, 74, 170, 304, 476, 686?
934
What comes next: 63, 66, 69?
72
What is the next term in 230, 217, 184, 119, 10?
-155
What comes next: 279, 557, 833, 1107, 1379?
1649
What is the next term in 38, 35, 30, 23, 14, 3, -10?
-25
What comes next: 34, 15, -40, -149, -330, -601, -980, -1485?
-2134
What is next in 94, 70, 32, -20, -86, -166, -260?
-368
What is next in -355, -741, -1137, -1549, -1983, -2445, -2941?
-3477
What comes next: 1012, 1013, 1024, 1051, 1100, 1177?
1288
What comes next: -146, -145, -144, -143, -142?
-141
What comes next: 294, 290, 286, 282?
278
What is next in 1, 0, 1, 4, 9, 16, 25?
36
What is next in -10, -8, 4, 32, 82, 160, 272, 424?
622
What is next in 3863, 7731, 11601, 15473, 19347, 23223, 27101?
30981
What comes next: 5, 2, -1, -4, -7, -10?
-13
What is the next term in 1059, 2117, 3177, 4239, 5303?
6369
What is the next term in -72, -150, -232, -318?
-408
What is the next term in 289, 278, 263, 244, 221, 194?
163
What is the next term in 124, 114, 98, 76?
48
What comes next: -435, -428, -407, -366, -299?
-200
What is next in 522, 517, 502, 471, 418, 337?
222
What is the next term in 16, 8, -2, -14, -28?
-44
What is the next term in -1481, -2963, -4445, -5927, -7409?
-8891
What is the next term in 135, 533, 1199, 2133, 3335?
4805
What comes next: 169, 722, 1635, 2902, 4517, 6474?
8767
What is next in 74, 169, 264, 359, 454, 549?
644
What is next in 16, 22, 30, 40, 52, 66?
82
What is the next term in 2729, 5479, 8241, 11021, 13825?
16659
What is the next term in -233, -236, -239, -242?
-245
What is the next term in 5, 29, 71, 131, 209, 305?
419
What comes next: 37, 72, 105, 136?
165
What comes next: -97, -412, -937, -1672, -2617?
-3772
What comes next: -137, -104, -59, -8, 43, 88, 121, 136?
127
What is the next term in -152, -315, -478?
-641
What is next in -8, -34, -80, -146?
-232
What is next in -586, -2353, -5298, -9421, -14722?
-21201
What is next in 20, 49, 88, 143, 220, 325, 464?
643
What comes next: -27, -17, 5, 33, 61, 83?
93
What is the next term in -22, -60, -112, -178, -258, -352, -460?
-582
What comes next: -15, -34, -65, -108, -163, -230, -309?
-400
What is the next term in 411, 805, 1199?
1593
What comes next: 73, 147, 219, 289, 357, 423, 487?
549
What comes next: -27, -51, -81, -117, -159, -207, -261?
-321
What is the next term in 7, 15, 33, 67, 123, 207?
325
What is the next term in -4389, -4393, -4399, -4407, -4417, -4429?
-4443
What is the next term in -2050, -4107, -6164?
-8221
What is the next term in -13, -14, -15, -16, -17, -18?
-19
What is next in -13, 2, 17, 32, 47, 62?
77
What is the next term in 3107, 6218, 9329?
12440
What is next in -73, -290, -665, -1210, -1937?
-2858
What is next in -33, -27, -11, 21, 75?
157
What is the next term in 2301, 2297, 2291, 2283, 2273?
2261
What is the next term in 250, 259, 282, 325, 394, 495, 634, 817?
1050
What is the next term in 3159, 12637, 28443, 50583, 79063?
113889
What comes next: -22, -24, -26, -28, -30, -32?
-34
What comes next: -182, -173, -164, -155, -146?
-137
What is the next term in -7, 10, 53, 134, 265, 458, 725, 1078?
1529
What comes next: -655, -651, -645, -637, -627, -615?
-601
What is the next term in -9, -12, -17, -24, -33?
-44
What comes next: -14, -5, 8, 25, 46?
71
What is the next te | {
"pile_set_name": "DM Mathematics"
} |
6
Let z be 615/12*4 - (4 + 0). Suppose -2*u + 3*j = 191, 291 = -7*u + 4*u + 3*j. Let t = u + z. What is the hundreds digit of t?
1
Let u = 41 - -843. Suppose -2*n - 3*j + 2402 = 0, -n + u = -3*j - 317. What is the tens digit of n?
0
Let q(m) = -m**3 + 25*m**2 + 7*m + 5. Let o be q(26). Let f = o - -1259. What is the units digit of f?
0
Let n be 123*(-3)/6*2. Let l = n - -346. What is the tens digit of l?
2
Suppose 145*v - 5199388 + 2018170 = 1536357. What is the hundreds digit of v?
5
Let a(f) = -f**2 - 8*f - 1. Let v be a(-7). Suppose 22 = -v*m + 106. Suppose 0 = m*g - 12*g - 224. What is the tens digit of g?
1
Suppose -11*q - 5 + 27 = 0. Suppose q*d = p - 281, 5*p + d = -0*d + 1438. What is the tens digit of p?
8
Let o be 45528/48 + (-2)/4. Let g = 143 + o. What is the hundreds digit of g?
0
Suppose 56*m - 599891 = 91485. What is the hundreds digit of m?
3
Let m(p) = 20*p**2 + 34*p + 277. What is the tens digit of m(-11)?
2
Suppose n + 4*h = 2, -6 = -n - 2*n + 5*h. Suppose 2*f = 4*d - 4882, -437 + 2873 = n*d - 2*f. What is the thousands digit of d?
1
Let x = -5194 - -3649. Let t = -337 - x. What is the hundreds digit of t?
2
Suppose -3*q - j - 134 = -6*q, 4*q - 196 = -3*j. Let p = 94 - q. Suppose -348 + p = -4*w. What is the units digit of w?
5
Let m(d) = -12*d - 45. Let f be m(-4). Suppose -4*k = 19 - 3, 0 = f*u - k - 190. Let g = 279 - u. What is the hundreds digit of g?
2
Let h(m) be the first derivative of -72*m**2 - 18*m + 41. Let f be h(-8). Suppose 5*w = -0*l - 3*l + f, 0 = 4*w - 3*l - 891. What is the hundreds digit of w?
2
Suppose 0 = 3*a - 3*x - 75, -x + 4 = -5*x. Let i be (a/18)/(2/3) + -84. Let f = 3 - i. What is the units digit of f?
5
Let f(z) = -11*z + 18. Let h(w) = 30*w + 29*w - 1 - 58*w. Let a(p) = -f(p) - 2*h(p). What is the tens digit of a(13)?
0
Let u be (1 - 6)/(-1 + 0). Suppose 107 = u*v + 5*n - 83, 5*v - 3*n - 230 = 0. What is the tens digit of v?
4
What is the units digit of ((10 - 54)/4 + -307)*134/(-3)?
4
Suppose -9*s + 4*s + 4*a = -66, 4*s - 2*a = 54. Let p(k) = 6*k**2 + 24*k - 27. What is the thousands digit of p(s)?
1
Let i = 150 + -144. Let a be (-8)/i + 84/63. Suppose -3*t + 4*t - 236 = a. What is the hundreds digit of t?
2
Suppose -4201 = -b + 4*a, -29*b + 24*b + 21053 = 4*a. What is the thousands digit of b?
4
Let a(w) = -w + 18. Let z be a(-6). Suppose 3*b + 44 = -5*s, 0*b + z = -2*b - 2*s. Let g(x) = -12*x - 12. What is the tens digit of g(b)?
8
What is the hundreds digit of 3 + -11 + (999 - 0/4)?
9
Suppose -10 - 21 = -3*y - 4*s, 0 = -5*y + 4*s + 41. Suppose -5*m + y*m = 840. What is the tens digit of m?
1
Let l(y) be the second derivative of 1/4*y**4 + 0 - 3/2*y**2 + 31*y + 1/3*y**3. What is the units digit of l(6)?
7
Suppose 0 = 5*f - 5*g - 50, f - 61*g + 56*g - 30 = 0. Let i be 1/(-1 + 2)*323. Suppose -4*q = 2*u + 77 - 341, i = f*q - u. What is the tens digit of q?
6
Let m = 28 + -44. Let q be (m - -15)/(-2 - (-170)/86). Suppose 2*i + 109 = 5*t - 118, q = t - i. What is the units digit of t?
7
Suppose 97*d - 475 = 2*d. Let l(m) = 5 + 9*m + 36*m - 4*m. What is the hundreds digit of l(d)?
2
Suppose -4*v - 2*d = 4, 0*d + 6 = 2*v - d. Let j be ((-3)/2)/(v/(-10)). What is the tens digit of (-1041)/(-5) + 6 + (-93)/j?
0
Suppose 2*p = 4*c - 43086, 5*c - 122*p - 53865 = -117*p. What is the hundreds digit of c?
7
Suppose -3*p + 3*x = -7776, -7778 = 3*p - 6*p + x. Let m = p + -1783. What is the units digit of m?
0
Let n(a) = 2665*a**2 + 266*a + 1331. What is the tens digit of n(-5)?
2
Let v(i) = 5808*i - 2297. What is the ten thousands digit of v(3)?
1
Suppose 3*p = 2*u + 5407, -u - 1393 - 2213 = -2*p. Let y = p + -834. What is the tens digit of y?
7
Let s(r) be the second derivative of 0 - 16*r + 1/12*r**4 - 13/6*r**3 - 49/2*r**2. What is the tens digit of s(20)?
9
Let l(g) = 6*g**2 - 41*g + 2. Let n be l(-9). Let f = n + -257. What is the hundreds digit of f?
6
What is the hundreds digit of (6641/(-551) - 4/(-76))*4118/(-4)?
3
Suppose 43*c = -2*y + 40*c + 11231, 22454 = 4*y - 2*c. What is the hundreds digit of y?
6
Let p = -7138 + 19422. What is the units digit of p?
4
Suppose -u = -3*d + 7, 2*d - u - 11 = -2*d. Let t be ((-66)/55)/(d/(-310)). Suppose -6*g + t = -3*g. What is the units digit of g?
1
Suppose 3*b - 4*g = -5*g + 54151, -3*b - 5*g = -54179. What is the hundreds digit of b?
0
Suppose -16*b - 105 = -25. What is the hundreds digit of (3 + b + 0)*-250?
5
Let n(r) = -r**2 - 9*r - 5. Let v be n(-8). Let x be (428/20 + v)*-5. Let g = x + 325. What is the hundreds digit of g?
2
Suppose 3*z - 2*p + 35 = 0, -2*z - 27 = p - 6. Let v = -15 - z. What is the tens digit of 0 + v + (-1 - -122)?
1
Let h = 4322 - 2808. Suppose -15*j + h = -721. What is the tens digit of j?
4
Let y = -263 - -281. Suppose -y*r = -16*r - 2374. What is the units digit of r?
7
Suppose -28930 = -2*l + 5*j, -21*j - 14487 = -l - 24*j. What is the ten thousands digit of l?
1
Suppose -17*u + 654 = -468. Suppose -u = -4*c + 3*x + 490, -5*c - 2*x = -695. Suppose r = 81 + c. What is the units digit of r?
0
Let u(b) = 45*b - 23*b - 21*b + 16. Let n be u(-14). What is the tens digit of ((n + -3)*10)/((-4)/34)?
8
Let v(g) = 26*g + 77. Suppose -3*l + 12 = -4*x - 14, -29 = -3*l + x. What is the hundreds digit of v(l)?
3
Let p(a) = -2*a**3 - 5*a**2 - 24*a + 136. What is the hundreds digit of p(-14)?
9
Let y(s) = 95*s**2 - 139*s - 926. What is the thousands digit of y(-6)?
3
Let i = 3350 + -1430. Suppose 0 = -228*j + 223*j + i. What is the tens digit of j?
8
What is the units digit of (1 - (1 + 1))/((-16)/32)?
2
Let y = 22851 + 4021. What is the ten thousands digit of y?
2
Suppose 0 = -37*n - 1816 + 28308. What is the tens digit of n?
1
Suppose -p + 532 = 530. What is the units digit of (p*107)/(-35 + 37)?
7
Let h(p) = -p**3 - 5*p**2 - 7*p - 8. Let d be h(-4). Suppose -d*t - 7*t = 0. Suppose -5*l = -t*o - o + 170, -2*o - 4*l + 298 = 0. What is the tens digit of o?
5
Let y(a) = 2*a**3 + 23*a**2 - 22*a - 1. Let b be y(-17). What is the hundreds digit of 2/5 + b/(-10)?
2
Let m(z) = 18 + 464*z - 463*z - 7. Let t be m(-9). Suppose -3*l = t*f - 123 - 166, 5*l - 486 = f. What is the tens digit of l?
9
Let j(k) = -2*k**2 - 218*k + 55059. What is the hundreds digit of j(0)?
0
Suppose 340*c - 393*c + 2909912 = 0. What is the thousands digit of c?
4
Let h(n) = 19*n**3 - n. Let q be 3/2*2*(-329)/21. Let j = 48 + q. What is the tens digit of h(j)?
1
Let f be 4 + 2/(-3 + 1 - -4). Suppose f*x = -2*x - 98. What is the tens digit of (-45)/(-2)*(x/(-10) + 1)?
5
Suppose 0 = a + 3*o - 25, 0 = -a - 2*a + 2*o + 42. Suppose -a*m + 36 = -15*m. Suppose z - 5*k - m = -k, 3*z - k = 64. What is the units digit of z?
0
Let g(p) = -3*p + p - 1754 + 1723 - p. Let s be g(-11). Suppose -4*c - 2*x + 644 = s*x, 0 = -x - 2. What is the hundreds digit of c?
1
Suppose -88180 - 156561 = -26*i - 54109. What is the units digit of i?
2
Suppose 5*o + b = -5, 4*o = 3*b + 2*b - 33. What is the tens digit of 36/(-54)*(1 - (-179)/o)?
5
Suppose 316 = 3*c + c - 4*n, 3*c - 5*n - 237 = 0. Let q = c + -77. What is the tens digit of (-183)/((q/(-3))/(32/36))?
4
Let o(s) = -18*s - 34. Let t be (((-21)/12)/7)/((-3)/60). Let p be o(t). Let q = p - -138. What is the tens digit of q?
1
Let k = -8515 + 14403. What is the units digit of k?
8
What is the tens digit of (-2 + 4/8)*5/((-60)/204904)?
1
Suppose 29*q - 114 = 83638. What is the hundreds digit of q?
8
Suppose -5*d + 2*r + 317 = 0, -5*r = -5*d - 0*r + 320. What is the hundreds digit of -11 - (-679)/d - 3550/(-18)?
1
Let n = -255 + 258. Suppose -5*i - 838 = -n*x + 5, 4*i = 4*x - 1132. What is the units digit of x?
6
Suppose -2308 = -4*r + 4*m, 6*r - 2*m + 2332 = 10*r. Suppose -5*a = 161 - r. What is the tens digit of a?
8
Let j(n) = -44*n**2 - 4*n - 3. Let o be j(-2). Let c be 4/1*-1 - (o - 8). Suppose -81 = -2*h + 5*d, 6*d = -4*h + 3*d + c. What is the units digit of h?
3
Let l(f) = 21*f - 4. Let r be l(6). Let i = -1946 - -1951. Suppose 5*o - i*g - 245 = 0, 4*o - 5*g - r - 79 = 0. What is the tens digit of o?
4
Let o(m) = 1701*m - 4788. What is the hundreds digit of o(11)?
9
Suppose 2*s = 6*s - 1856. Suppose 4*j + 3*i - s + 45 = 0, -315 = -3*j - 2*i. What is the hundreds digit of j?
1
Let n(b) = -b**3 - 16*b**2 - 3*b + 15. Let j = -52 + 54. Suppos | {
"pile_set_name": "DM Mathematics"
} |
7*g to l + y*g**3 + z*g + k*g**2 and give z.
2
Rearrange -646*d - 450*d + 356*d to g*d + x and give g.
-740
Rearrange 59*u**3 + 25*u**3 + 3*u**2 - 3*u**2 + (5 - 5 + 2*u**2)*(11*u - 15*u - 5*u) to q + b*u**2 + v*u**3 + x*u and give q.
0
Rearrange 45*p**3 + 152*p**2 - 301*p**2 + 151*p**2 to j*p**3 + o*p + x + t*p**2 and give j.
45
Express 428*x**4 - 265*x**4 - 2*x - 2*x**2 - 2 - 273*x**4 in the form r*x**4 + i*x**2 + t*x + o + f*x**3 and give o.
-2
Rearrange 3*v - 26 - 26 + 1 to d*v + w and give d.
3
Express (-3*l + 6*l + l)*(-3*l + 0*l - l)*(21 + 2*l - 25 + 5*l) in the form j*l**3 + s + w*l + o*l**2 and give o.
64
Rearrange ((2 - 1 - 2)*(-2 - 2*v + 2) + 0*v + v + v)*(4*v**2 + 0*v**2 - 2*v**2 + (-4 + 3 - 11)*(-1 - 5*v**2 + 1)) to m*v**3 + t*v**2 + w*v + q and give m.
248
Rearrange (-133 - 185 + 35)*(4 - 3 - 2)*(-q**2 + q**2 - 3*q**2) to o*q**2 + i*q + a and give o.
-849
Rearrange 0*k + 2*k + k + (-6 + 1 + 3)*(2 - 2 + 2*k) + (-2*k + k + 3*k)*(26 - 13 + 27) to a + n*k and give a.
0
Express (-2*g**2 - 4 + 4)*(40 - 40 - 33*g + 2*g + 0*g - g - 3*g - 1 + 1 + (-2 + 2*g + 2)*(-3 + 2 + 3) + 2*g + 4 - 4) as y*g**2 + j + u*g**3 + q*g and give u.
58
Rearrange -1 - 407*d**3 - 8*d - 405*d**3 + d**2 + 813*d**3 to the form l*d + m*d**2 + o + t*d**3 and give o.
-1
Express -203*k + 218*k + k**2 + 174*k in the form j*k + u + d*k**2 and give d.
1
Rearrange (51 - 9 + 127 - 42)*(-2 - 3*k + 2) to s*k + r and give s.
-381
Rearrange -283*s**2 - 376*s**2 + 247*s**2 to b*s + r*s**2 + t and give r.
-412
Express (-1 - 2 + 5)*(-3*a**2 - 2*a**3 + 3*a**2) - 2*a**3 + 188*a**2 + 250*a**2 - 113*a**2 in the form p + y*a**3 + x*a + h*a**2 and give y.
-6
Express 193 + 401*u**2 - 2*u**4 - 193 + (0 + 2*u**3 + 0)*(3*u - 5*u + u) in the form m*u**4 + a + x*u + v*u**3 + l*u**2 and give m.
-4
Rearrange 2 + n + 2*n - 6*n - 2 - 2*n + 2 - n + 2*n + n + (2*n - n + 2*n)*(-2 + 3 + 2) to l + k*n and give k.
6
Rearrange 2*g + 2 + 949*g**2 - 4 - 952*g**2 - 3*g**3 to q*g**3 + u*g + b*g**2 + i and give b.
-3
Express 127*n**3 + 130*n**2 - 228 - 130*n**2 + 230 in the form z*n + y*n**3 + i + h*n**2 and give i.
2
Express -838 - 18*h + 2*h + 2*h**2 + 836 in the form q*h + x*h**2 + l and give q.
-16
Rearrange 77 - 9 + 70 - 2*x to g + p*x and give p.
-2
Express (-2253*n + 2253*n - 157*n**3)*(n + 2*n - 7*n) in the form v*n + l*n**2 + q*n**4 + s + t*n**3 and give q.
628
Express (4 - 11 + 14)*(-2*v**2 + 0*v**2 + 0*v**2) + (2*v + v - 5*v)*(v - 5*v + 3*v) as n + c*v**2 + t*v and give c.
-12
Express (3057 + p**2 - 2*p**2 - 3393)*(p - p - p) as h*p**3 + s*p + i*p**2 + j and give h.
1
Express (q**2 - 3 + 3)*(-4 + 2*q + 4) + 0 + 2*q**3 + 0 + (-9*q**2 - 10*q**2 + 26*q**2)*(-q + 4 - 4) as l*q**3 + u*q**2 + h*q + t and give l.
-3
Rearrange -6*z + 38*z + 64*z + 55*z + 57*z to the form f + h*z and give h.
208
Express (-b + b - b**2)*(0*b + 3*b - b) - 5*b**3 - 6*b**3 + 718*b**2 - 717*b**2 in the form k*b**3 + o*b + g + u*b**2 and give u.
1
Express (-6*n - n + 46 + 5*n)*(1 - 1 + 2*n) + (n + 1 - 1)*(2*n - 5*n + n) + 0*n**2 - 2*n**2 + n**2 as r + y*n + m*n**2 and give m.
-7
Rearrange -17*t - 4*t + 1 + 68*t - 12*t + 3*t**2 to the form p*t + a + j*t**2 and give j.
3
Rearrange -10*c**3 - 3 - 4*c - 18*c**3 + 3*c + 0*c**3 to w*c + k*c**3 + m*c**2 + f and give w.
-1
Rearrange 28*o**3 + 99*o**2 - 101*o**2 - 1 - 2 - 1 to j*o**3 + d + r*o + c*o**2 and give d.
-4
Express (-321*n + 1612 - 1612)*(5*n + n - 4*n) as k*n + r*n**2 + u and give r.
-642
Rearrange 427*z - 426*z + 63*z**3 + 2 + 16*z**3 to the form p + r*z**2 + f*z**3 + d*z and give r.
0
Express -66*n + 434*n + 40*n - 65*n + 337*n as o*n + r and give o.
680
Express -9*h - 44 + 14*h + 35 in the form l + v*h and give v.
5
Rearrange (-3 + 3 + 3 - 1)*(5993 - 2997 + 13*x - 2990) to the form d + n*x and give n.
26
Express -2*q**3 - 2*q**3 + 6*q + q**2 + 2*q as z*q**2 + c*q + y*q**3 + b and give z.
1
Express (-3*w**4 + 2 - 2)*(4 + 0 + 0 + (0 - 1 - 3)*(4 + 3 - 5) - 1 - 1 + 3) as c*w**2 + s*w**3 + a + u*w + h*w**4 and give s.
0
Express -3 + 10*s**3 - 2*s**2 + s**2 + 2133*s - 2136*s as r*s**3 + z*s**2 + a*s + d and give d.
-3
Express q**3 - 13*q - 1223*q**2 + 1221*q**2 - 14 + 15 as x*q**2 + w + j*q**3 + m*q and give x.
-2
Rearrange (4 + 2 - 4)*(11*x**4 - 15*x**4 - 18*x**4) - 3*x**2 + 3*x**2 - 4*x**4 to r + o*x**2 + a*x + l*x**3 + q*x**4 and give q.
-48
Rearrange (-292*h + 114*h + 80*h)*(h**2 + 2*h**2 - h**2) + 0*h**2 + 0*h**2 + 2*h**3 to g + o*h + w*h**3 + i*h**2 and give o.
0
Rearrange 20 - 2*l - 2*l - 10*l + 16*l to o + v*l and give o.
20
Express -61 + 61 - 34*f + (1 - 2*f - 1)*((3 - 2 + 1)*(3 + 2 - 7) + 3 - 3 + 8) - f - 2*f + f in the form g*f + d and give g.
-44
Express -3*g + 1475*g**2 + g**3 + 6 - 1477*g**2 + 4*g + 3*g**4 as i*g**4 + b*g**2 + p*g**3 + y*g + c and give i.
3
Rearrange 12*o**4 - o**2 + 7*o - 57*o - 13*o**4 to the form t*o**3 + i*o**2 + m*o + f + w*o**4 and give w.
-1
Express -g**4 + 0 + 0 + 40*g**4 + 3*g**4 + 8*g**4 + (3*g - 2*g + g)*(g - g - 2*g**3) in the form r*g**4 + h*g**2 + i*g**3 + k + f*g and give r.
46
Express 2 - 8 - 314*s**2 + 12 - 6 in the form i + x*s + m*s**2 and give x.
0
Express (0*s**3 + 5*s**3 + 0*s**3)*(-152 - 238 + 24 - 121) as b*s + d*s**3 + k + t*s**2 and give d.
-2435
Express -90*d**2 + 25*d**3 + 2 - 89*d**2 - 97*d**2 + 4*d + 276*d**2 in the form f*d**2 + o*d + p + q*d**3 and give o.
4
Express -40*b - 9*b**3 + 3*b**3 - 74*b + 9*b**3 in the form r*b**3 + c + y*b + d*b**2 and give d.
0
Express m**3 - 2087*m**2 - 2*m + 2087*m**2 + 3 + 17*m**4 in the form r*m**3 + v + y*m**2 + x*m + a*m**4 and give r.
1
Express 30 - 92 - r - 2*r**4 + r**3 + r**2 + 29 in the form m + l*r**2 + c*r**3 + p*r + b*r**4 and give b.
-2
Express -1398*f - 850*f + 729*f as w*f + h and give w.
-1519
Express 182*g**3 + 2*g - 161 - 529*g**3 + 177*g**3 + 173*g**3 as n + z*g**3 + y*g**2 + d*g and give z.
3
Rearrange 2*o - 10 + 10 - 269*o**4 + o**2 - 11*o**3 + 9*o**3 + 56*o**4 to the form n + c*o + f*o**2 + m*o**3 + w*o**4 and give c.
2
Express -8*g + 5 - 5 + (-1 - 2 + 1)*(-3 + 3 + g) + 0*g + 0*g - g + 5 - 5 - 20*g in the form d*g + c and give d.
-31
Express (z - 1095*z**2 + 2195*z**2 + 2 - 1099*z**2 - 183*z**3)*(3*z + z - 2*z) as w*z**4 + k*z + j*z**3 + r + g*z**2 and give g.
2
Rearrange 16*a + 3 + 24*a - 4*a**4 + 2*a**2 - 41*a + 2*a**3 to the form o*a**3 + q*a**2 + w + r*a**4 + y*a and give r.
-4
Rearrange 30*k**2 - 3*k + 5*k**3 - 69*k - 29*k**2 - 4*k**3 - k**4 + 9*k**3 to j*k**3 + p*k + m*k**2 + n + f*k**4 and give m.
1
Rearrange 123*a**2 - 4*a**3 + 2*a - 3*a**3 + 28*a**3 + 8*a**3 - 128*a**2 to the form h + d*a**2 + g*a + i*a**3 and give i.
29
Rearrange -4*w + 5*w - 2*w + (-2 + 0 + 8)*(0*w + 2*w - w) - 19*w + 39*w - 62*w to the form f + a*w and give a.
-37
Express -2*o - 2*o**4 + 8 - 18 - 2*o**2 + o + 3*o**4 - 24 as d + t*o**4 + p*o + y*o**2 + l*o**3 and give d.
-34
Express 82*n**2 + 10*n - 10*n + 469*n**2 in the form h*n + t*n**2 + m and give t.
551
Express 22076 - 22076 - 112*k**2 + (2*k**2 - 2 + 2)*(4 - 5 + 0) - 3*k + 3*k - 2*k**2 in the form i*k**2 + o*k + q and give i.
-116
Rearrange 38*r + 26*r + 79*r - 17*r to the form l + j*r and give j.
126
Express (d**3 + 2 - 2)*(-3*d + 2*d + 3*d) + (2 + 1 + 4)*(-6*d + 0*d + 3*d)*(3*d**3 + d**3 + 6*d**3) as g*d**2 + s*d**4 + o*d**3 + r*d + f and give s.
-208
Express 16688*q**2 - 1 - 5*q - 16687*q**2 - 1 as u + j*q + a*q**2 and give j.
-5
Express 116*b + 80*b + 92*b - 50*b in the form x + r*b and give r.
238
Express -304*s - 366*s + 102*s + 23*s + 21*s in the form p + o*s and give o.
-524
Express (-17*m**3 + 5*m**3 + 4*m**3)*(0*m - 5*m + 2*m)*(3 - 2 + 6) as x*m**4 + y*m**3 + c + u*m**2 + f*m and give y.
0
Express 60*o**2 + 16*o + 63*o**2 - 117*o**2 as k*o**2 + t*o + c and give t.
16
Express (-2 + 2 + 3)*(-739*m**3 + 927*m - 460*m - 467*m) as n*m**2 + r + q*m + l*m**3 and give l.
-2217
Rearrange 1 - 9*p**3 - 15*p + p**4 - 3*p**2 + 2*p**2 + 13*p to the form z*p**2 + m + w*p + n*p**4 + y*p**3 and give m.
1
Express -20*n - 2*n + 5*n - 2 + 3*n + 11*n in the form c + z*n and give z.
-3
Rearrange 3*u**2 - 32 - 15*u**2 + 9*u**2 - 2 to the form c + w*u + l*u**2 and give c.
-34
Express 81*x - 230*x + 78*x + 73*x + 91 as c + v*x and give c.
91
Express 126*d + 127*d + 73*d + 527 - 527 in the form j*d + k and give j.
326
Express -483*m**2 + 236* | {
"pile_set_name": "DM Mathematics"
} |
iple of 48?
True
Let q(o) = 39*o + 278. Let x(g) = 4*g. Let m(u) = q(u) - 6*x(u). Is m(-13) a multiple of 52?
False
Suppose 12*w = w + 15015. Is 13 a factor of w?
True
Let s = 31310 - 15310. Does 16 divide s?
True
Does 18 divide (16 - (-2670)/(-165)) + 2/33*91479?
True
Let w = 158 + -145. Suppose -5*o + 0*o + w = -4*m, -2*o - 4*m = -22. Suppose -924 + 84 = -o*t. Is 42 a factor of t?
True
Let j = 1432 - -328. Is j a multiple of 110?
True
Suppose -o + 50 = 2*u + u, -4*o - 16 = 0. Suppose -4*c + 5*b + 46 = 0, 4*c - 5*c + u = 2*b. Let s = 30 + c. Is s a multiple of 11?
True
Is 15 a factor of -2 + 14/6 - 133828/(-6)?
True
Suppose -t = 5*o - 151914, -4*o + 16*t = 15*t - 121524. Is 25 a factor of o?
False
Let b(d) = 9*d**2 + 33*d - 30. Let n(a) = 2*a**2 + a. Let k(i) = -b(i) + 4*n(i). Is k(-15) a multiple of 24?
True
Let y be (-40 - -41)/((-1)/11). Let w(m) = -m**3 - 1. Let d(n) = 2*n**3 + 12*n**2 + 12*n + 8. Let c(a) = -d(a) - w(a). Is c(y) a multiple of 2?
True
Let d = -195 + 174. Is 15 a factor of (-1107)/d - -2 - 4/(-14)?
False
Suppose -2*j - 8 = -26. Is 8 a factor of 1248/j*(-6 + 33/4)?
True
Let m(r) = 4*r**2 - 189*r + 38. Let v be m(47). Let i = 238 - v. Is 15 a factor of i?
False
Suppose -4291 = 68*g - 61*g. Let y = g - -858. Does 49 divide y?
True
Suppose 0 = -4*c + 2*c + 6. Let z be (-77)/3 - (-2)/c. Is z/(-3) + 10/15 even?
False
Suppose -4*q + 27 = 3*v, 39 = 5*v + q + 11. Suppose -g = -5*u + 70, -26 = -g - 31. Suppose -v*w + u = -27. Is 4 a factor of w?
True
Let p be 10/(-35) + -2203*(-2)/(-14). Let v = p - -930. Is 6 a factor of v?
False
Let n = 8509 + -3853. Does 12 divide n?
True
Let i = 40 + -76. Suppose 4*n + 5*j - 226 = 0, 64 = n + 2*j + 3*j. Let v = n + i. Is 9 a factor of v?
True
Let k(s) = -289*s + 441. Is k(-7) a multiple of 44?
True
Let l(x) = -x**2 + 18*x - 117. Let r be l(42). Is 46 a factor of -6 - (-8)/((-24)/r)?
False
Suppose 15*w - 75 = -0*w. Let p(j) = 2*j + 16. Let i be p(-8). Suppose -2*y = -4*q - 384, i = y - w*q - 159 - 18. Is y a multiple of 41?
False
Let x = 34828 - 16641. Is 31 a factor of x?
False
Suppose 516978 = -3179*m + 3193*m. Is m a multiple of 14?
False
Suppose -4*j - 5*b + 9272 = 0, -4*b + 3365 = 5*j - 8225. Is 19 a factor of j?
True
Let b = 958 + -659. Let w = 563 - b. Does 88 divide w?
True
Let o(v) = 4*v**2 + 17*v + 11. Let p be o(-7). Let d = 164 + p. Is d a multiple of 18?
True
Suppose 1775 = 3*x - 2873 - 80. Is x a multiple of 44?
False
Let g(h) = -h**3 + 48*h**2 + 529*h - 58. Does 11 divide g(51)?
True
Let k(i) be the third derivative of i**4/24 + 77*i**3/6 - 45*i**2. Does 23 divide k(-8)?
True
Suppose -4*y = -3*a + 26518 + 19982, 3*a = 2*y + 46494. Does 147 divide a?
False
Suppose 0 = -1975*d + 1954*d + 17283. Is d a multiple of 3?
False
Is (-238747)/(-21) + 27/1134*4 a multiple of 39?
False
Suppose 6*k - 324 = 96. Let p = 74 - k. Suppose -y + p*y + b = 154, -y + 63 = -2*b. Is 20 a factor of y?
False
Let s = 32083 - 22476. Does 108 divide s?
False
Suppose o - 19 + 23 = 0. Is 6 a factor of (-4)/(-6)*(1830/o)/(-5)?
False
Let x(k) = -k**2 + 12*k - 22. Let n be x(10). Let g be (-1 + 1)*n/(-4) - -9. Is (-174)/9*g/(-6) a multiple of 3?
False
Suppose -1394904 = -345*f + 59*f + 79712. Does 52 divide f?
False
Let q = -1792 + 4142. Is 47 a factor of q?
True
Let q(y) = -22*y + 602. Is 37 a factor of q(-13)?
True
Let z(k) = -k**3 - 3*k**2 + 9*k + 50. Let g(p) = 3*p + 30. Let o be g(-11). Let f be (0 + o/(-4))/((-7)/56). Does 16 divide z(f)?
False
Let x(t) = -100*t**2 + t + 16. Let h(d) = -1. Let m(n) = -2*h(n) - x(n). Is m(-3) a multiple of 28?
False
Let o be ((-6)/(-12))/(2/1624). Suppose 3*a = -3*k + 396, 3*k + 2*a - 4*a = o. Is 11 a factor of k?
False
Let j(i) = -i**3 - 14*i**2 - 2*i - 13. Let l be j(-13). Let k = l - -440. Does 25 divide k?
False
Suppose -23*o + 28*o - 59952 = -z, -z = -4*o + 47958. Does 22 divide o?
True
Let d(c) = c**3 - 20*c**2 - 250*c + 51. Is d(31) a multiple of 51?
False
Let r = -3519 + 4660. Does 7 divide r?
True
Suppose 13860 = 2*q + 4*c, 242*q - 246*q - 5*c + 27738 = 0. Is q a multiple of 38?
False
Let a be (-9)/(-5)*(-3 + -2). Let v = 6 - a. Does 37 divide (-3*v)/((-6)/6)?
False
Suppose 16*r = 54*r - 188632. Is 146 a factor of r?
True
Let x(s) = -s**2 + s + 37. Let i be x(0). Let t = -36 + i. Suppose -5*j + w = -0*w - 73, -5*w = j + t. Is j a multiple of 12?
False
Let q = -194 - 11. Let n = q + 405. Suppose -13*k + 21*k = n. Is 25 a factor of k?
True
Let z(d) = 65*d**2 - 85*d - 472. Is z(28) a multiple of 76?
True
Suppose 9*q + 4 = 4*q + 4*n, 4*q = -n + 1. Suppose q = 2*g - 5*p - 197 - 141, 3*g - 507 = -3*p. Is g a multiple of 28?
False
Suppose -a + 4*a = 228. Suppose -4*u - a + 16 = 0. Is 149/5 + 0 + (-3)/u a multiple of 15?
True
Suppose 4*f - 9 = 7*f. Let i = f + 10. Is 21 a factor of (1 - i)*(0 - (-14)/(-4))?
True
Let s be (8 - -3)*-6*(-3)/(-6). Let p = 4 - 43. Let a = s - p. Is 3 a factor of a?
True
Let h = 37262 + -28779. Is h a multiple of 3?
False
Suppose 136609 = -2*z + 7*z - l, 0 = -4*z + 6*l + 109334. Does 10 divide z?
True
Let z be (-1 - (-2)/6)*6492/8. Let v = z - -770. Let u = v - 85. Does 37 divide u?
False
Let q = -273 + 1484. Is q a multiple of 16?
False
Let k(a) = -36*a**3 - a**2 - 2*a - 2. Let r(h) = 2*h**3 + 10*h**2 + h + 3. Let u be r(-5). Is k(u) a multiple of 54?
False
Let g be 2 - (45/2)/(2/(-12)). Suppose 26*k + g = 27*k. Is 31 a factor of k?
False
Suppose 205*r - 1979480 = -119*r - 4*r. Is r a multiple of 12?
False
Let b = -32 - -73. Let f = b - 46. Let v(k) = 3*k**2 + 3*k + 8. Does 10 divide v(f)?
False
Let c = 91 + -22. Suppose -2*u = u + 192. Let r = c + u. Is 5 a factor of r?
True
Suppose 5*n = 5*d + 35, -3*d + 7*n - 17 = 5*n. Is (15/d - -63)*3 a multiple of 6?
True
Suppose -2*z + 28 - 30 = g, -3*z = 4*g + 8. Let q(m) = m**3 + m + 383. Is 5 a factor of q(z)?
False
Suppose 272*j = 275*j - 6. Suppose 0 = j*t - 333 + 73. Is 5 a factor of t?
True
Let f(c) = c**3 + c**2 - 9*c - 7. Let n be f(-3). Suppose -a + 0 - 2 = -b, 0 = -n*a + b. Is a - (-4)/(-3)*(-396)/8 a multiple of 34?
True
Suppose 6*a - 4*f = 3*a - 890, 0 = -f - 4. Let m(c) = -26*c + 5. Let h be m(4). Let y = h - a. Does 19 divide y?
False
Suppose 0 = -11*f - 29989 + 80017. Does 164 divide f?
False
Let u(r) = r + 15. Let p be u(-11). Suppose 3*y - 4*a - 6 = 0, y - p*a - 4 = -3*y. Is 13 a factor of 39/(y/6 + (-13)/(-12))?
True
Suppose -5*d = -5*o + 35530, 0 = 3*o + 5*d - 13292 - 8058. Suppose 10*t - o = -0*t. Does 39 divide t?
False
Suppose -3*y = 2*a + a - 6, 2*y - 7 = -3*a. Is 2*(-303)/6*y a multiple of 3?
False
Suppose 4*t - 2*z = -z + 26, -2*t - 5*z + 2 = 0. Suppose 0 = -9*a + t*a. Suppose 3*r - 77 - 1 = a. Is 4 a factor of r?
False
Let a be 86*(1 - 2)/(-2). Let b = a + -49. Let t = 20 + b. Is 6 a factor of t?
False
Let j(h) = h**2 + 4*h - 306. Let m be j(22). Suppose 2 = 3*l + 20. Is 19 a factor of l*(m/4)/(-7)?
True
Is 58 a factor of (-8004)/(-10)*((-72)/576 - 166/(-48))?
True
Suppose -2*g + 6*g - 446 = -3*y, -2*g + 218 = -y. Suppose -116*h + g*h = -1224. Is 34 a factor of h?
True
Suppose -66*k + 70*k = 23342 + 7942. Is 130 a factor of k?
False
Let u be (168/(-10))/((-6)/30). Suppose -u - 214 = -2*h. Let g = h - 129. Is g a multiple of 16?
False
Suppose 5*c + 11 - 86 = 0. Let r be 36/c*(-105)/(-6)*-1. Is r/(-2) + (11 - 12) a multiple of 3?
False
Let l(i) = 34 - 50*i**2 - 30*i + 26*i**2 + 26*i**2. Is l(16) a multiple of 12?
False
Suppose 4*f + 44 = 5*n, 3*f + 32*n = 36*n - 33. Let g(p) = 14 + 40 - 14*p + 14. Is g(f) a multiple of 37?
True
Suppose -a + 203 = 192. Let t(z) = -17*z - 8. Let o(j) = 18*j + 8. Let v(b) = -5*o(b) - 6*t(b). Is v(a) a multiple of 10?
True
Let k be 12/8*(-56)/6. Is (k + -11075)/(-13) + 8/(-2) a multiple of 43?
False
Suppose 3*i + 4*x = 431, 5*i = -2*x - 2*x + 721. Let w = -2293 - -2291. Does 14 divide (-11)/(-22) - i/w?
False
Let d = 1137 - -921. Does 7 divide d?
True
Let o be ((-114)/3 - -13)*382/(-5). Let y = o + -1249. Does 38 divide y?
False
Let g = 2865 - -13165. Is 151 a factor of g?
False
Suppose 8*t + 433310 + 178048 = 30*t. Is 92 a factor of t?
False
Suppose 4*c = 52*w - 50*w + 12118, 5*w - 9134 = -3*c. Is c a multiple of 3?
True
Let t(d) be the first derivative of -d**4/4 - 37*d**3/3 - 8*d**2 - 52*d - 84. Does 36 divide t(-37)?
True
Suppose -h = 2, 3*o = | {
"pile_set_name": "DM Mathematics"
} |
1. Factor j(l).
2*l*(l + 1)**2*(5*l - 2)/5
Suppose 2 = -b + 4. Factor a + 0*a**b - 4*a - 3*a**2.
-3*a*(a + 1)
Factor -6*q**2 - 120*q + 80*q + 2*q**2.
-4*q*(q + 10)
Suppose -d = 4*d - 85. Let y = d - 17. Factor -2*a**4 + 0*a**2 - 4/9*a**3 + y - 14/9*a**5 + 0*a.
-2*a**3*(a + 1)*(7*a + 2)/9
Find v such that -7*v**3 + v**4 + 8*v**3 - 2*v**3 = 0.
0, 1
Let f = -17 - -21. Let g(i) be the first derivative of 0*i - 1/14*i**f - 1 + 0*i**2 - 2/21*i**3. Factor g(o).
-2*o**2*(o + 1)/7
Let l = -29 + 31. Solve -4/7*k - 2/7 - 2/7*k**l = 0.
-1
Let n = 2 + -29. Let u be 3/(n/6)*-3. Factor 2*p**2 + p**3 - u*p**3 - p**2.
-p**2*(p - 1)
Let s = -122 - -122. Factor 0 + s*d + 1/4*d**2.
d**2/4
Solve 10/11*d + 2/11*d**2 + 0 = 0.
-5, 0
Let d(i) be the second derivative of 5*i**4/6 + 8*i**3/3 - 4*i**2 + 4*i. Find h, given that d(h) = 0.
-2, 2/5
Let v be (-5 + -1)/(231/10). Let z = v - -6/11. Factor -z*l**2 - 2/7*l + 0.
-2*l*(l + 1)/7
Let l be 16/40*(-20)/3 + 3. Let l*t**2 + 2/3 - t = 0. What is t?
1, 2
Let d(y) be the second derivative of y**4/54 + y**3/9 - 4*y**2/9 + 11*y - 2. Solve d(o) = 0 for o.
-4, 1
Suppose 3*t = 3*z + 42, 0*z + t = 4*z + 56. Let f be z/(-5) + (-1)/(-5). Determine d, given that 5*d**2 + 0*d**3 - d**3 - f*d**2 + 3*d**3 = 0.
-1, 0
Let g(y) be the first derivative of -y**3/4 + 9*y**2/8 + 8. Factor g(l).
-3*l*(l - 3)/4
Let s(n) be the second derivative of -n**4/6 - n**3 - 2*n**2 + 25*n. Factor s(z).
-2*(z + 1)*(z + 2)
Let q(l) be the third derivative of -2*l**2 - 1/40*l**5 + 0 - 1/4*l**3 + 1/8*l**4 + 0*l. Let q(z) = 0. Calculate z.
1
Factor -3 - 4*v - 9*v**2 + 11 + 5*v**2.
-4*(v - 1)*(v + 2)
Let v be (-2 + 3/(-6))*-2. Solve 6*r**2 - v + 8*r + 5 - 2*r**4 - 4*r = 0.
-1, 0, 2
Let t be (-9)/18*(3 - 1). Let d be 0/t - (-4 + 1). Let -10/7*l**4 - 6/7*l**5 + 0*l + 0*l**2 + 0 + 4/7*l**d = 0. What is l?
-2, 0, 1/3
Let d(o) be the second derivative of o**6/180 - o**5/120 - o**4/24 + 5*o**3/36 - o**2/6 + 18*o. Suppose d(c) = 0. Calculate c.
-2, 1
Find f such that 0 + 2/3*f**4 + 0*f - 5/3*f**3 - 2/3*f**2 + 5/3*f**5 = 0.
-1, -2/5, 0, 1
Factor -j**2 - 11*j - j**2 - j - 2*j**2.
-4*j*(j + 3)
Let s be 3 + 0/(-11 + 3). Find v such that 9/4*v**2 - 3*v + 3/2*v**s - 3/4*v**4 - 3 = 0.
-1, 2
Factor 8/5*i + 6/5 + 2/5*i**2.
2*(i + 1)*(i + 3)/5
Let g be ((-6)/9)/(3/(-3)). Suppose -4*i = 2*p - 20, -p + 6 = i - 1. Find d such that g*d**5 + 0 + 10/9*d**i + 0*d - 14/9*d**4 - 2/9*d**2 = 0.
0, 1/3, 1
Let d(w) = -w**3 - 2*w**2 - 3*w. Let b(t) = -2*t**3 - 4*t**2 - 7*t. Suppose -y + 2 = -1. Let v(l) = y*b(l) - 7*d(l). Factor v(z).
z**2*(z + 2)
Determine g, given that -4*g**3 + 9*g**4 - 4*g**2 - 7*g**4 + 2 + 2*g + 0*g + 2*g**5 = 0.
-1, 1
Let j(m) be the second derivative of m**6/1260 - m**5/105 + m**4/21 + m**3/2 + 2*m. Let v(t) be the second derivative of j(t). Factor v(g).
2*(g - 2)**2/7
Let c(p) be the first derivative of p**7/189 + p**6/135 - p**5/90 - p**4/54 - 3*p - 1. Let u(i) be the first derivative of c(i). Factor u(x).
2*x**2*(x - 1)*(x + 1)**2/9
Suppose 16 = 2*i - 4*s, 2*i - 7*i - 5*s - 5 = 0. Let k(g) be the second derivative of 1/70*g**5 + 1/7*g**4 + 2*g + 8/7*g**i + 0 + 4/7*g**3. Factor k(f).
2*(f + 2)**3/7
Suppose 4*l + p = -3 - 8, l = -5*p + 21. Let n be ((-4)/12)/(l/16). Determine m, given that 15*m**4 - 8*m - 1/3*m**3 + 25/3*m**5 - 41/3*m**2 - n = 0.
-1, -2/5, 1
Suppose -10*c + 16 = -2*c. Find t such that 0*t**c + 1/4*t - 1/4*t**3 + 0 = 0.
-1, 0, 1
Let d be (-29)/(-9) + (-8)/36. Suppose d*r = r. Determine q, given that 0 - 4/7*q**3 + 2/7*q**4 + r*q + 2/7*q**2 = 0.
0, 1
Let x(v) = -v**2 + 6*v. Let c(i) = i + 11. Let a be c(-5). Let s be x(a). Suppose 0 + 4/7*w**2 - 4/7*w**4 - 2/7*w**5 + 2/7*w + s*w**3 = 0. What is w?
-1, 0, 1
Let n(p) be the first derivative of -p**8/4200 - p**7/2100 + p**6/900 + p**5/300 + 4*p**3/3 - 1. Let z(o) be the third derivative of n(o). Factor z(c).
-2*c*(c - 1)*(c + 1)**2/5
Let b be (104/6)/(4/12). Let w be (-8)/b - 80/(-182). What is f in -6/7*f - w*f**2 - 4/7 = 0?
-2, -1
Suppose 229*t - 238*t = -27. Determine n so that 0*n + 1/4*n**2 - n**5 + 9/4*n**4 + 0 - 3/2*n**t = 0.
0, 1/4, 1
Let h(f) = f**3 - 8*f**2 + 6*f + 7. Let l be h(7). Factor -3*s**2 + l*s**2 - 3*s**2 + 4*s**2 + 2.
-2*(s - 1)*(s + 1)
Let s = 15/7 - 68/35. Let j(o) be the third derivative of 3*o**2 + 0*o + 1/100*o**5 + 0 - s*o**3 + 1/40*o**4. Factor j(n).
3*(n - 1)*(n + 2)/5
Let o(r) be the second derivative of 0*r**3 + 1/165*r**6 - 1/231*r**7 - 1/66*r**4 + 1/110*r**5 + 0 + 0*r**2 + 2*r. Factor o(j).
-2*j**2*(j - 1)**2*(j + 1)/11
Let w(l) be the second derivative of 0*l**3 + 0*l**6 - 1/50*l**5 + 0 + 0*l**4 + 1/105*l**7 + 0*l**2 - 4*l. Factor w(n).
2*n**3*(n - 1)*(n + 1)/5
Let m = -5/74 - -1081/666. Factor 16/9*f + 0 + 2/9*f**5 + 4*f**3 - m*f**4 - 40/9*f**2.
2*f*(f - 2)**3*(f - 1)/9
Let d(h) = -8*h - 13. Let x be d(-2). Let f(t) be the first derivative of -1/6*t**x - 1 + 1/8*t**4 - 1/4*t**2 + 1/2*t. Solve f(k) = 0 for k.
-1, 1
Let l(p) be the second derivative of -p**5/210 - 2*p**2 + 2*p. Let o(d) be the first derivative of l(d). Factor o(x).
-2*x**2/7
Let k(j) be the second derivative of j**4/3 - 16*j**3 + 288*j**2 + j + 1. Factor k(u).
4*(u - 12)**2
Let r(t) be the third derivative of t**9/4536 - t**8/2016 + t**7/5040 - t**3 + 6*t**2. Let x(c) be the first derivative of r(c). Factor x(z).
z**3*(z - 1)*(4*z - 1)/6
Let p(z) be the third derivative of -z**6/600 + z**5/50 - 3*z**4/40 + 42*z**2. What is k in p(k) = 0?
0, 3
Suppose l = 5*a - 5, -5*l = -5*a - 6*l - 5. Suppose 0 = j + 3*j - b, a = j - 4*b + 15. Factor -7/2*g + 4*g**2 + j - 3/2*g**3.
-(g - 1)**2*(3*g - 2)/2
Let j = 200 - 200. Find z such that 3/4*z + j*z**2 - 1/4 - z**3 = 0.
-1, 1/2
Suppose 0 = -6*h + 3*h + 6. Solve 3*w**2 + 2*w + h*w**2 - w**2 - 5*w**2 = 0.
0, 2
Factor -18*w**2 + 9*w + 12*w + w - 4.
-2*(w - 1)*(9*w - 2)
Let j(h) = h**3 + 7*h**2 - 8*h + 2. Let f be j(-8). Factor -v**2 + v**3 + 4*v**2 - 4*v**f + 0*v**3.
v**2*(v - 1)
What is v in 96/7*v + 2/7*v**3 - 24/7*v**2 - 128/7 = 0?
4
Let x(a) be the first derivative of 0*a + 3 - 1/2*a**2 + 1/2*a**3 - 1/8*a**4. Factor x(q).
-q*(q - 2)*(q - 1)/2
Let f(w) be the second derivative of 0 + 1/18*w**6 - 1/18*w**4 + 4*w + 0*w**2 + 1/20*w**5 + 0*w**3. Find g, given that f(g) = 0.
-1, 0, 2/5
Let p be (2/8)/(1/(-48)*-6). Let l(d) be the second derivative of -d + 1/6*d**3 + 1/12*d**4 + 0*d**p + 0. Factor l(f).
f*(f + 1)
Suppose -2*j + 8 = -5*i + 6*i, 3*i - 5*j = -20. Let h(u) be the first derivative of -1 - 1/4*u**4 + i*u - 2*u**2 + 4/3*u**3. Suppose h(z) = 0. What is z?
0, 2
Let l(m) be the third derivative of m**4/24 + m**3/3 - m**2. Let x be l(0). Factor -4 + 2*o - o**x + 1 + 3.
-o*(o - 2)
Let j(l) be the third derivative of -1/15*l**7 - 1/56*l**8 + 0*l**4 + 0 + 0*l**6 + 0*l + 2/15*l**5 + 0*l**3 - 7*l**2. Find n, given that j(n) = 0.
-2, -1, 0, 2/3
Suppose 0 + 9/4*t**2 - 9/4*t**4 - 3/2*t + 3/2*t**3 = 0. What is t?
-1, 0, 2/3, 1
Let u(y) = -4*y**3 + 9*y**2 + y - 3. Let i(d) = d - 3*d**2 + 7*d**2 - 3*d**2 - 1. Suppose -2*g - g + 3 = 0. Let r(v) = g*u(v) - 3*i(v). Solve r(n) = 0 for n.
0, 1/2, 1
Let f(l) = -l + 4. Let k be f(4). Let k*d**2 + 18*d**3 + 14*d**4 + 40*d + 4*d**2 - 40*d = 0. Calculate d.
-1, -2/7, 0
Let w(y) be the second derivative of 2*y**6/15 - y**5/5 - 16*y**4/3 - 40*y**3/3 - 29*y. Solve w(s) = 0.
-2, 0, 5
Factor -1/2*d + d**2 - 5/8*d**3 + 1/8*d**4 + 0.
d*(d - 2)**2*(d - 1)/8
Let u(x) be the second derivative of -x**7/112 - 9*x**6/80 - 81*x**5/160 - 27*x**4/32 + 12*x. Factor u(l).
-3*l**2*(l + 3)**3/8
Let n be 0 + -3 - (-9 + 4). Let u(w) be the second derivative of 0*w**n - w + 0 + 0*w**4 - 1/10*w**5 + 0*w**3. Factor u(z).
-2*z**3
Let s(v) be the first derivative of v**6/27 - 4*v**5/45 - v**4/6 + 8*v**3/27 + 4*v**2/9 - 25. Find o such that s(o) = 0.
-1, 0, 2
Let z(g) be the first derivative of -g**6/3 + 6*g**5/5 - 3*g**4/2 + 2*g**3/3 + 20. Factor z(k).
-2*k**2*(k - 1)**3
Suppose -8/7 + 1/7*l**3 - 6/7*l**2 + 12/7*l = 0. What is l?
2
Let m(o) be the second derivative of o**4/16 + 3*o**3/4 + 15*o**2/8 - 24*o. Solve m(v) = 0.
-5, -1
Let a = 75 + -75. Let x(y) be the third derivative of 1/60*y**6 - 2/3*y**3 + 5/12*y**4 + 0 - 4*y**2 - 2/15*y**5 + a*y. Suppose x(b) = 0. Calculate b.
1, 2
Suppose 2/13*c**3 + 0*c**2 + 0*c + 0 = 0. What is c?
0
Suppose 7*n = 3*n. Let f(s | {
"pile_set_name": "DM Mathematics"
} |
16*w - 16. Let m(c) = -4*c**2 + 3*c - 3. Let j = -318 + 315. What is j*n(f) + 16*m(f)?
-4*f**2
Let u(y) be the second derivative of -7*y**3/6 + 5*y**2/2 + 12*y. Let g(q) = -8*q + 6. Calculate -5*g(x) + 6*u(x).
-2*x
Let x(m) = 2*m**2 - 15*m + 6. Let o be x(7). Let f(j) = -1. Let u(b) be the second derivative of 3*b**5/20 - b**2/2 - 9*b. What is o*f(t) + u(t)?
3*t**3
Let p(a) = 2*a**2 - 38*a - 5. Let i(k) = -7*k - 2. Let r be i(-3). Let m be p(r). Let j(b) = -7*b**2 + b - 3. Let n(s) = -3*s**2 - 1. Determine m*n(g) + 2*j(g).
g**2 + 2*g - 1
Let j(w) be the first derivative of -w**6/360 + 3*w**4/8 - 4*w**3/3 - 20. Let z(v) be the third derivative of j(v). Let y(t) = -5. Give 5*y(g) + 3*z(g).
-3*g**2 + 2
Let w(n) be the third derivative of n**5/30 - 3*n**4/8 - 3*n**3/2 + 15*n**2 + 6. Let r(l) = l**2 - 4*l - 4. Determine 9*r(b) - 4*w(b).
b**2
Let b(h) = h**2 - 7*h - 306. Let v(s) = -s**2 + 6*s + 305. Determine 6*b(w) + 7*v(w).
-w**2 + 299
Let n(z) = 212*z**2 - 9*z + 7. Let k(h) = 106*h**2 - 5*h + 4. Give 7*k(m) - 4*n(m).
-106*m**2 + m
Let i(r) = 28*r - 17. Let y(u) = 61*u - 34. Let m(l) = 13*i(l) - 6*y(l). Let h(f) = -f - 9. Calculate -7*h(g) + 4*m(g).
-g - 5
Let n(o) be the second derivative of o**2/2 - 1043*o. Let b(u) = 4*u - 1. Let k be 9/(-7) + 4/14. Calculate k*b(a) - 2*n(a).
-4*a - 1
Let f(d) = -5*d**2 + 2. Suppose 0 = -2*g - 3*y + 1, -35*g + 3*y + 19 = -33*g. Let c(k) = -4*k**2 + 2. What is g*f(t) - 6*c(t)?
-t**2 - 2
Let d(r) be the second derivative of 3*r**5/5 - 5*r**3/3 + 5*r**2 + 213*r. Let f be (-4)/(-20) + 28/10. Let g(m) = m**3 - m + 1. Determine f*d(i) - 30*g(i).
6*i**3
Let h(w) = 89*w**3 + 4*w**2 + 6*w + 3. Let b(m) = -87*m**3 - 5*m**2 - 8*m - 4. What is 3*b(u) + 4*h(u)?
95*u**3 + u**2
Let s(j) = -9*j**3 + 5*j**2 - 13*j - 8. Let o(i) = -i**3 + i**2 - 2*i - 1. Determine -5*o(f) + s(f).
-4*f**3 - 3*f - 3
Let v(w) = 3*w**3 + 2*w**2 + 7*w + 3. Suppose -2 = -6*c + 40. Let h(b) = b**3 + b**2 + 3*b + 1. Determine c*h(m) - 3*v(m).
-2*m**3 + m**2 - 2
Let v(t) = 2*t**2 - 3*t - 3. Let n(l) = l - 1. Let j(i) = -i + 3. Let k(x) = -j(x) - 2*n(x). Let r = 7 + -11. Let d = -43632 + 43633. Determine d*v(y) + r*k(y).
2*y**2 + y + 1
Let i(n) = -n**2. Let o = 121 - 68. Let r(j) = -53*j + o*j + 9*j**2. Calculate -5*i(u) - r(u).
-4*u**2
Let c(w) = w + 6. Let x(i) = -3*i - 17. Let j = -67 + 73. Suppose -3*d - 2*m + j*m - 4 = 0, 4*m = -d - 12. Give d*x(o) - 11*c(o).
o + 2
Let k be ((-400)/(-20) - 17) + (3 - 1). Let m(w) = 10*w**3 + 3*w**2 + 5*w + 5. Let n(h) = 10*h**3 + 4*h**2 + 6*h + 6. Give k*n(y) - 6*m(y).
-10*y**3 + 2*y**2
Let m = -8 + 14. Let s(c) = -11*c - 2*c - 5 + 5*c + 2*c**3 + 6*c**3. Let b(a) = 7*a**3 - 7*a - 4. Calculate m*b(v) - 5*s(v).
2*v**3 - 2*v + 1
Let g(j) = 2*j. Let n(a) = a. Let s = -1 - 9. Let z = s - -7. Let k(x) = z*g(x) + 5*n(x). Let b(u) = -2*u + 1. Give 2*b(c) - 5*k(c).
c + 2
Let i = -10 - -6. Let u = i - -6. Let m(d) = -6*d + 2*d + d + u*d. Let w(o) = -4*o + 2. What is -6*m(b) + w(b)?
2*b + 2
Let k = 29 + -24. Let z(f) = -2*f + k*f - 4*f. Let b(m) = -6*m - 1. What is -b(d) + 4*z(d)?
2*d + 1
Let z(i) = -124*i + 6. Let k(x) = -3223*x + 154. What is 3*k(a) - 77*z(a)?
-121*a
Let r(t) = -t - 1. Let p(m) = 9*m - 12. Determine -p(h) + 12*r(h).
-21*h
Let c(j) = 39*j**2 - 2*j. Let f(m) = 118*m**2 - 6*m. Calculate -11*c(v) + 4*f(v).
43*v**2 - 2*v
Let x(i) = i**3 - i**2 - i + 1. Suppose -14 - 2 = -p - 3*n, 4*p = n + 38. Let g(d) = 6*d**3 - 10*d**2 - 12*d + 10. What is p*x(f) - g(f)?
4*f**3 + 2*f
Let f(o) = -1 - 9*o + 8*o + 1. Let h be f(-6). Let y(l) = 2*l**2 - 2*l + 4. Let u(w) = -2*w**2 + 2*w - 5. Give h*y(r) + 5*u(r).
2*r**2 - 2*r - 1
Let z be 1*(-10)/(-6)*3. Let j = 3 - z. Let n(p) be the first derivative of 5*p - 687. Let a(u) = u + 4. Give j*n(d) + 3*a(d).
3*d + 2
Suppose -5*u - 35 = 5*p, 3*u + 2*p - 30 = -47. Let i(s) = -4. Let w(h) = -3. Let q(l) = -2*i(l) + 3*w(l). Let r(g) = g**2 + 2. Determine u*q(m) - 2*r(m).
-2*m**2 - 1
Let s(r) = -14*r + 5. Let t(m) = 14*m - 6. Let h(p) = -p**3 + 17*p**2 + 8*p - 131. Let n be h(17). What is n*s(a) + 4*t(a)?
-14*a + 1
Let u(k) = 4*k - 7. Let n(r) be the third derivative of -r**4/12 + r**3/2 + 123*r**2. What is -14*n(s) - 6*u(s)?
4*s
Let c(d) = -5*d**3 - 3*d**2 - 3*d. Let q(r) = -4*r**3 - 4*r. Let y(n) = -n**3 + n**2 - n. Let v(u) = 2*q(u) - 4*y(u). Determine -4*c(g) + 3*v(g).
8*g**3
Let z be 2/(-4)*1*-8. Let w(a) = a + 3. Let l(j) = j + 3. Let k(m) = -m**2 - 77*m - 1275. Let p be k(-53). Determine p*w(u) + z*l(u).
u + 3
Let h(z) = -10*z**2 - 2*z - 2. Let r(y) = -y**2 - y. Let w(q) = -2*q**3 + 11*q**2 + 4*q + 14. Let x be w(6). Give x*r(t) - h(t).
8*t**2 + 2
Let u(g) = -4*g**2 + 11*g - 2. Let k(f) = -2*f**2 + 5*f - 1. Let p be (-21)/5*(-285)/171. Calculate p*k(l) - 3*u(l).
-2*l**2 + 2*l - 1
Let v(l) = 179*l**3 + 3*l**2 - 6*l + 7. Let b(h) = 59*h**3 + h**2 - 2*h + 2. What is 7*b(d) - 2*v(d)?
55*d**3 + d**2 - 2*d
Let y(q) = q + 1. Let c(g) = 1. Let k(s) = -42. Let p(t) = 8. Let v(x) = 4*k(x) + 22*p(x). Let h(o) = -6*c(o) + v(o). Give -h(m) + 2*y(m).
2*m
Let j(f) = 6*f**3 - 2*f**2 - 3*f + 11. Let h(b) = -2*b**3 + b**2 + b - 4. Calculate 11*h(r) + 4*j(r).
2*r**3 + 3*r**2 - r
Let a(h) = -27*h - 52. Let w(z) = 44*z + 77. Calculate 8*a(g) + 5*w(g).
4*g - 31
Let j(h) = -85*h**2 - 35*h + 60. Let n(s) = 7*s**2 + 3*s - 5. What is 3*j(t) + 35*n(t)?
-10*t**2 + 5
Let b = -55 - -33. Let f(c) = -c**2 + 2*c + 3. Let v(s) = 9*s - 1. Let x be v(1). Let j(w) = x - 6*w**2 - 4 + 12 + 11*w. Give b*f(g) + 4*j(g).
-2*g**2 - 2
Suppose j + 59 - 58 = 0. Let w(p) = 2*p**2 + p - 3. Let c(g) = -1. Determine j*w(f) + 4*c(f).
-2*f**2 - f - 1
Let h = -88 + 51. Let x be 2/(-7) + h/(-7). Let n(y) = -33*y - 21. Let f(a) = -885*a - 889*a - 889*a + 3560*a + 5 - 889*a. What is x*n(o) + 21*f(o)?
3*o
Let n(b) = -2*b**3 - 17*b**2 + 9*b + 37. Let x(v) = v**3 + 8*v**2 - 4*v - 18. Calculate 6*n(y) + 13*x(y).
y**3 + 2*y**2 + 2*y - 12
Let z(x) = 111*x**2 + 8*x - 6. Let d(a) = -223*a**2 - 18*a + 14. What is -3*d(m) - 7*z(m)?
-108*m**2 - 2*m
Let w be (-3 + 3)/(-2 - -4). Suppose w = 3*g - 2 + 5. Let p(x) = 5*x**2 + 6*x + 6. Let i(j) = -j**2 - j - 1. What is g*p(v) - 6*i(v)?
v**2
Let s(z) = z**3 - 3*z**2 + 1. Let l(g) = -3*g**3 + 18*g**2 + 20*g - 6. Give l(n) + 6*s(n).
3*n**3 + 20*n
Let m be 2/(6*(-4)/48). Let i(g) = 3*g + 1. Let y(x) = 3*x. Determine m*y(d) + 3*i(d).
-3*d + 3
Let i(s) = -6*s - 139. Let q(f) = -5*f - 139. Determine -3*i(z) + 4*q(z).
-2*z - 139
Suppose 10*d = -0*d - 180. Let u(x) = x**3 + 18*x**2 + x + 17. Let q be u(d). Let g(i) = 7*i**2 - 3*i - 3. Let z(n) = -n**2 + n + 1. What is q*g(f) - 3*z(f)?
-4*f**2
Let b(p) = -10*p**2 - p - 5. Let o(t) = -9*t**2 + t - 4. What is -6*b(v) + 7*o(v)?
-3*v**2 + 13*v + 2
Let j(q) = -q. Let a be -5 + (-18)/(0 - 3). Let v(p) = -p - 2. Let t(m) = a*v(m) + 2*j(m). Let f(y) = 9*y + 5. Give 3*f(k) + 8*t(k).
3*k - 1
Let u(i) = -7*i + 7. Let x(r) = 2*r**3 + r**2 + 5*r + 17. Let j be x(-2). Let v(t) = 6*t - 6. Calculate j*u(l) - 6*v(l).
-l + 1
Let g = -15 - -14. Let c be 3 + 0/(g - 2). Let f(o) = -3 - 11*o**2 - 2 + 3*o - c*o. Let l(w) = -27*w**2 - 12. Calculate 12*f(t) - 5*l(t).
3*t**2
Let j(d) = -d**2 + 4*d - 6. Let v(i) = -2*i**2 + 7*i - 11. Let q = -52 + 48. Let l be q/6 + 20/(-6). What is l*v(h) + 7*j(h)?
h**2 + 2
Let s = -8 - -11. Let u(z) = -3*z**3 + 9*z**2 - 3*z. Let j(m) = 3*m**2 + 8*m**3 + m**2 + 544*m - 545*m + 10*m**3 - 19*m**3. What is s*u(b) - 7*j(b)?
-2*b**3 - b**2 - 2*b
Let l(t) = -4*t**2 - 5*t + 11. Let p(g) = -13*g + 1866 - 2*g - 1849 - 6*g**2 + 7*g. Give -8*l(s) + 5*p(s).
2*s**2 - 3
Let g(t) be the second derivative of 0 + 4/3*t**4 + 0*t**2 - 20*t - 2*t**3. Let o(w) = w**2 - w. Give -g(n) + 12*o(n).
-4*n**2
Let d(z) = -207*z**2 + 6*z + 11. Let x(v) = -138*v**2 + 4*v + 7. What is -5*d(i) + 7*x(i)?
69*i**2 - 2*i - 6
Let h(m) = -16*m**3 - 2*m**2 - 4. Let b(v) = -2*v**2 - 567 - 573 + 6*v**2 - 569 + 33*v**3 + 1718. What is 4*b(c) + 9*h(c)?
-12*c**3 - 2*c**2
Let j(y) = 13*y - 9. Let v(p) = 2 + 209*p + 210*p - 422*p. Give -2*j(m) - 9*v(m).
m
Let d(l) = -24*l**2 + 13*l + 16. Let n(q) = -12*q**2 + 6*q + 7. Determine -4*d(w) + 9*n(w).
-12*w**2 + 2*w - 1
Let r(y) = 101*y - 11 - 28*y - 72*y. Let u(v) = -3*v + 32. What is 17*r(n) + 6*u(n)?
-n + 5
Let o(h) = -6*h**2 + h + 6. Let c(y) = -y**3 - | {
"pile_set_name": "DM Mathematics"
} |
18.
126
Let z = 387 + -380. What is the lowest common multiple of z and 264?
1848
Suppose 0 = 4*w + 2*i - 252, 101*w - 3*i - 171 = 98*w. Calculate the least common multiple of w and 11.
671
Let d(v) = 20*v - 2. Let q be d(-8). Let k = q + 275. What is the common denominator of -9/22 and k/18 - (7 - 4)?
198
Suppose 48779 = 2*a + 4839. Let c be ((-28)/22)/((-10)/a). Let x = c + -2799. What is the common denominator of x and 67/6?
66
Let x(a) be the first derivative of -a**4 - 7*a**3/3 - a**2 - 3*a + 18. Calculate the smallest common multiple of 12 and x(-3).
48
Suppose -2108 = -4*h + 2*p - 4*p, 4*h + 5*p - 2114 = 0. Let y = -4293/8 + h. Calculate the common denominator of -1*(-1)/(30/(-201)) and y.
40
Find the common denominator of 300/720 - (4 - -1) and 125/6.
12
Let b(k) = k**2 - k - 39. Suppose -n - 3*d + 41 = -2*d, 197 = 5*n - 3*d. Suppose -3*j + n = 2*j. What is the least common multiple of j and b(7)?
24
Let p(w) = -6*w + 30. Let q(k) = -2*k + 10. Suppose 4*c - 6 = c. Let x(y) = c*p(y) - 7*q(y). Calculate the least common multiple of x(7) and 10.
20
Suppose 6*u - 13 = 5. Find the common denominator of (-2)/u + 415/(-120) and -49/62.
248
Suppose 0 = -6*j + 3*j - 396. Let v be -3 - (-1)/(j/(-219)). Let t = v - 5/66. Find the common denominator of t and -113/18.
36
Suppose 3*k - 1 = -3*h + 4*k, 3*k = 2*h + 4. Calculate the common denominator of 17/20 and ((-174)/(h + -3))/4.
20
Let r(p) = -p**3 - 3*p**2 - 2*p + 2. Let d be (4/(-6))/(4/(-18)). Suppose -d*y + 16 = -2. Calculate the smallest common multiple of y and r(-3).
24
Suppose 4*p + 408 = -5*i, 0 = -0*i - 4*i - 3*p - 327. Let g = 163/2 + i. Find the common denominator of 46*(-34)/(-160) + (-98)/245 and g.
8
Let p = 7324 - 131797/18. What is the common denominator of -37/360 and p?
360
Suppose 198 = -20*x + 18*x. Find the common denominator of (-27)/x*26/(-3) and -23/11.
11
Let f be (3 - -6*(-3)/6)/2. Suppose f = -4*a + 50 + 102. What is the least common multiple of 10 and a?
190
Let k = -246 + 166. Let a = 100 + k. Calculate the smallest common multiple of a and 44.
220
Let o = 598 - 582. Calculate the least common multiple of o and 4.
16
Find the common denominator of 125/6 and (1 - (-554)/(-552))*510/4.
552
Suppose 5*z + y - 237 - 269 = 0, 5*z - 5*y = 530. What is the smallest common multiple of z and 102?
102
Let c(g) = -178*g**3 - g. Let p be c(2). Let k = -5613/4 - p. Find the common denominator of k and ((-99)/(-6))/(0 + 1).
4
Suppose 116*z - 121*z = -5. What is the lowest common multiple of 10 and (0 - (9/(-5))/z)*5?
90
Let d = -413841/20 - -20687. Find the common denominator of -91/12 and d.
60
Suppose -5*t + 9 + 56 = 0. What is the lowest common multiple of t and 10?
130
Let l = -11884259/4344758 - -2/127787. What is the common denominator of l and -65/2?
34
Let a be ((-2)/(-216))/((-220)/(-33)). Let x = -9239/720 - a. Calculate the common denominator of 109/20 and x.
60
Let v(o) = -7*o + 51. What is the lowest common multiple of v(7) and 9?
18
Let t = 176 + -9. Let z be -3*(4 - (-45)/(-9)). Calculate the common denominator of 89/2 and z + (t/18 - 4).
18
Let q be ((-2)/(-52))/((-46)/(-4)). Let y = -3875/3588 - q. Let t = 22801/6 + -3822. Find the common denominator of y and t.
12
Let g(b) = b**2 + 4*b + 1. Let h be g(4). What is the common denominator of 466/(-60) - 11/h and 81/2?
10
Suppose 3*r = -r - 32. Find the common denominator of -5/8 and (-70)/r*(-30)/(-21).
8
Let l be -4 + (-1615)/(-273) + -2. Let w = l + 1034/39. Let x = 222/7 - w. What is the common denominator of -24/11 and x?
77
Let w = -2077 - -25033/12. Let z = -3607/6 - -603. What is the common denominator of w and z?
12
Let f(i) = -4*i + 5 + 5*i + 6*i. Let q be f(-2). Let k = 29 + q. Calculate the least common multiple of k and 2.
20
Let u = 1965 + -206321/105. Let l = -1697/2310 - u. Let w = -32647/3906 + 80/279. Find the common denominator of l and w.
154
Let m = -10449/16 - -656. What is the common denominator of m and 95/8 - 3*6/(-72)?
16
Suppose -40 = -4*m + 15 + 85. Calculate the common denominator of (-2)/(-7) - 197/(-21) and m.
3
Let b(a) = 26*a**2 + 5*a - 6. Let c(o) = -54*o**2 - 9*o + 11. Let z(q) = -11*b(q) - 6*c(q). Calculate the least common multiple of z(-1) and 75.
975
Suppose -2*l = -2*w + 82, 5*w - 2*l + l - 225 = 0. Find the common denominator of -53/115 and w.
115
Let z(w) = -2*w + 1. Let l be z(1). What is the lowest common multiple of (53 + -49)*(3 + 1) and (4/2)/2 - l?
16
Let q = -79/216 + 11/27. Find the common denominator of 89/108 and q.
216
Calculate the common denominator of (3784/(-1650))/((-78)/15) and -59/36.
2340
Suppose -3*m + 81 = 3*z, z = -3*m + 2*z + 69. Suppose -b - m = -4*b. Calculate the lowest common multiple of b and 13.
104
Suppose 3*m + 19 = 1. Let x = -282105/7142 + -2/3571. Calculate the common denominator of 856/48 - (-4)/m and x.
6
Let n = -383 - -431. What is the smallest common multiple of 40 and n?
240
Let p be (-3)/(-12) + (-112327)/20. Let m = -9432 - -3806. Let d = p - m. Find the common denominator of d and -9/7.
70
Let m = -4607 - -2772. Let v = 7389/4 + m. Let u = 3967/595 + 4/85. What is the common denominator of u and v?
28
Let v be (-228652)/(-48)*(1 + -2). Let x = v + 4772. Calculate the common denominator of x and -29/10.
60
Let s(w) = -12*w - 63. Calculate the smallest common multiple of s(-6) and 39.
117
Let g = 728 + -716. Calculate the smallest common multiple of 22 and g.
132
Let s = 1933/180 - -31/90. Calculate the common denominator of (-102)/(-90)*5 - (0 + 4) and s.
12
Let j(q) = 11*q + 1. Let i be j(1). What is the lowest common multiple of (0 + -1)*(-5 - (3 + 10)) and (i/(-10))/((-7)/70)?
36
Let f be 5 - 78/16 - -4072. Let u = f + -4067. Calculate the common denominator of u and 59/10.
40
Let a = -1964427 + 27536121/14. Let p = a - 2445. Find the common denominator of p and (16/(-14))/((-2)/(-40)*4).
14
Suppose -4*l - 4 + 12 = 0. What is the common denominator of 53/15 and l/16*-2 + 182/(-72)?
45
Suppose 0 = x - 5*x - 4. Let h be -4 - (x + 536/30). Let q = -53/15 - h. Calculate the common denominator of q and -137/6.
6
Let x(p) = -151*p**2 - 6*p - 6. Let c be x(-4). What is the common denominator of ((-2)/10)/(78/(-525)) and c/684 + 8/(-76)?
234
Suppose 19 - 7 = 2*c. Let n = c - 1. What is the common denominator of (n/(-140))/((-2)/(-348)) and 83/10?
70
Let d(a) = a**3 - 3*a**2 - 4*a - 1. Let g be d(4). Let z(i) = -14*i**2 + i - 1. Let h be z(g). Find the common denominator of 69/20 and (678/(-105))/(h/20).
140
Let i = 3283268745/244 - 13456041. Let j = -12/61 + i. What is the common denominator of (-6)/(-16)*(1 + (-290)/6) and j?
4
Let j = 34869/88 - 4250/11. Calculate the common denominator of -107/126 and j.
504
Let k = 797 + -601. Calculate the least common multiple of k and 245.
980
Suppose -3*g - 2*x = -10 - 28, 2*g - 4*x = 20. Calculate the least common multiple of 570 and g.
1140
Let m(a) = a**2 + 6*a - 17. Let o(s) = -s**2 - 5*s + 18. Let l(j) = -2*m(j) - 3*o(j). What is the smallest common multiple of l(-7) and 12?
24
Find the common denominator of -53/44 and (-2013)/(-880) - 6/10.
176
Let g(l) = 3*l**2 + 4*l. Let p be g(-4). Suppose -10*i + p = -6*i. Calculate the smallest common multiple of -4 - -7 - -1*3 and i.
24
Let m = 30306 - 20643. Let n = -18/40153 + -3883638133/401530. Let h = m + n. Find the common denominator of -71/12 and h.
60
Let s(h) = -17*h - 1. Let k be s(1). Let o = -15 - k. Suppose 3*z + 19 = 4*z. Calculate the least common multiple of z and o.
57
Suppose -9*m - 21 = -5*z - 7*m, 2*z - 2 = 4*m. Find the common denominator of ((-2)/z)/((-1)/(-17)) and -5/7.
35
Let c = 132677/18 - 7378. Calculate the common denominator of -93/32 and c.
288
Calculate the least common multiple of 396 and ((-99)/66)/((-2)/8) - -18.
792
Suppose 10*g + 19 = 15*g + h, 3*g = -3*h + 9. Calculate the lowest common multiple of 3*(-3)/9*2 - -56 and g.
108
Let i = -17/287 - -18859/3444. What is the common denominator of 33/20 and i?
60
Let y be (-4)/26 - (-222)/(-78). Let w be y/(-9)*(-8 - 1). Calculate the common denominator of 6 + w - 47/6 and -44.
6
Let w(r) = -r**3 + 6*r**2 - 5*r + 1. Let v be w(6). Let s = -20 - v. Suppose 0 = -u + s. Calculate the smallest common multiple of 8 and u.
72
Let a(t) = -t**3 - 26*t**2 - 50*t - 36. Calculate | {
"pile_set_name": "DM Mathematics"
} |
r - 16. Let g be l(-10). Let w be 405/35 - g/14. Solve -6*p + 2*p = -w for p.
3
Let y(j) = -3*j - 2. Let p be y(-2). Suppose -3*r + 20 = -v, 5*r + 10*v = 12*v + 35. Solve p = -r*b - 1 for b.
-1
Let x(y) = -113 + y + 54 + 93. Let i be x(-15). Solve 5*v + 6 = -i for v.
-5
Suppose o - 18*h = -14*h - 18, -2*h = 5*o - 20. Suppose 3*t - 12 - 3 = -4*g, -3*g - t = -10. Solve -o*m + 15 = g*m for m.
3
Let q be (-3 - 27)*-3 - -3. Let p = 97 - q. Solve 0 = r - 0 - p for r.
4
Suppose w = -2, -86 = 107*x - 112*x + 3*w. Solve 25*z = x*z - 9 for z.
-1
Let b be ((-36)/20)/3*-15 + -5. Solve 10*o - 14*o = b for o.
-1
Let k = 93 - 35. Let n be k/10 + 4/20. Suppose -v = -1 - n. Solve 3*f - v*f = 0 for f.
0
Suppose 4*p - 4 = -3*s, 2*s = 5*p + 27 - 9. Let o be 12/18*12/4 + 1. Solve j - s = -o*j for j.
1
Let n(m) = 5*m - 11*m - m - 11*m. Let u be n(-2). Let x be (9/u)/((-1)/(-8)). Solve -x*r = 2*r - 12 for r.
3
Suppose -3*l - 3*s - 3 = -18, -5*s = -5. Suppose l*j = -0*j + 3*j. Solve -d + 1 + j = 0 for d.
1
Suppose -36*x + 70*x = 54*x. Let r = -5 - -9. Solve r*v - 2 - 18 = x for v.
5
Suppose 0 = 3*x + 2*x - 15. Solve 3*t = 2*t + x for t.
3
Let z(r) = r**3 - 22*r**2 - 2*r + 55. Let s be z(22). Solve 0 = 4*n - s + 31 for n.
-5
Let g(z) = -z + 4. Suppose o + 4*a - 24 = -3*o, a - 2 = 0. Let q be g(o). Solve q = 2*c - 2 - 4 for c.
3
Let k(a) = -a**2 - 21 - 3*a**2 - 3*a**2 + 6*a**2 + 14*a. Let m be k(9). Solve 4 - m = 4*w for w.
-5
Suppose 4*x - 11 = 29. Solve x = -z + 6*z for z.
2
Let a(f) = -f**3 - 16*f**2 - f + 4. Let y be a(-16). Suppose 0*w = 4*w - y. Suppose -w*i + 0*i + 5 = 0. Solve s + i = -3 for s.
-4
Suppose 3*f + 5*v - 2 = 0, 7 = 4*v + 15. Solve 40 = -f*b - 6*b for b.
-4
Let p = 12 - 12. Let l be (-1)/((p + 3)/9). Let y = -1 - l. Solve y*m + m = 15 for m.
5
Suppose -5*u + 5*s + 21 = -9, 3*s = -u + 6. Suppose 0*v - u = -2*v. Let g be (-6 + 0 + (-425)/(-51))*3. Solve g*w - v*w = -16 for w.
-4
Let z be 22/4 - (-2)/(-4). Let u(g) = g**3 + 8*g**2 - 3*g. Let t be u(0). Let q(p) = p + 30. Let m be q(-10). Solve -z*r - m = -t*r for r.
-4
Let b be ((-3)/2)/(2/(-8)). Suppose -b*p = -p - 20. Suppose -2 = -2*o + 2*u, -u - 14 = -p*o - 2*u. Solve 13 - 1 = -o*s for s.
-4
Let c be (-275)/44 - (-1)/4. Let i be (1/2)/(c/(-24)). Solve -4 = -p - i for p.
2
Let n be (3/(-6))/((-2)/12). Suppose -s + n = -0*s. Solve 7 = -s*m + 22 for m.
5
Let q(i) = -i - 12. Let c be q(-16). Solve 1 - 9 = -c*h for h.
2
Let q be 30/(-10) - 7*-1. Suppose -q*h + 18 = -2*h. Solve -k + h = -4*k for k.
-3
Suppose i + 4*d = 31, 0*d + 80 = 5*i - 5*d. Solve -4 = -18*m + i*m for m.
-4
Let v(z) = z**3 - 12*z**2 - 13*z - 2. Let h be v(13). Let m(b) = -b**2 + b + 8. Let j be m(h). Solve j*w = w for w.
0
Let o = 209 - 108. Let j = -99 + o. Solve -2 = -j*m - 6 for m.
-2
Let r = -24 - -27. Suppose 0 = -0*q + r*q - 15. Solve -q*v = -0*v + 25 for v.
-5
Let d(q) = -3*q - 3 - 17*q**2 + 4*q + q**3 - 6. Let g be d(17). Solve 6*j - g = 2*j for j.
2
Let z be (-1 + 2)/(-1) + (-20)/(-5). Suppose -r = 4*i - 15, 13 - 31 = -z*i - 3*r. Solve -i - 5 = -4*k for k.
2
Let m be -2*(-6 - (0 + 2)). Let u(p) = -2*p**3 + p**2 + 2*p - 2. Let g be u(-2). Let s = g - 5. Solve s = 5*c - m for c.
5
Let h(d) be the first derivative of d**2/2 + 22*d - 2. Let j be h(-12). Solve 0 = 2*w - 0*w - j for w.
5
Suppose y + 3*y - 3*z = 24, 0 = 5*y + 2*z - 30. Let d be (y/(-21))/(4/(-28)). Solve 6*s = d*s + 8 for s.
2
Suppose -5*b + 4*b - 449 = -4*o, o - 110 = b. Suppose -4*n + 6*y + o = y, -n + 7 = 3*y. Let p be (-4)/(-16) + n/8. Solve 3*m = 4*m + p for m.
-3
Suppose 4*w - 1 = -l + 5, -w + 2*l = 3. Solve 0*b = -b - w for b.
-1
Suppose 2*g = 4*x + x + 30, 4*x - 4 = -4*g. Suppose 4*t - 1 = -5*w, -2 = 2*w - g*t - 9. Let y be (10/30)/(w/6). Solve -y = -j + 3 for j.
5
Let i be 2 - -1 - (-3 + -5). Let w(m) = -m**3 + 10*m**2 + 11*m + 4. Let a be w(i). Suppose h - a = -h. Solve -v = h*v - 12 for v.
4
Suppose 3*z + 5*z - 80 = 0. Suppose y + z = 3*g - 3*y, -y = -g + 3. Solve -2*c + g - 10 = 0 for c.
-4
Suppose -4*p + 2*o + 0*o = 26, 5*p + 2*o + 10 = 0. Let w be (30/p)/(1/(-2)). Solve 6*x = x + w for x.
3
Let q be (-40)/(-12)*(-12)/(-5). Suppose -q*g + 152 = -4*g. Let h = 38 - g. Solve h*v + 4 = -v for v.
-4
Suppose -18 = -8*d + 62. Solve 27 = d*k - k for k.
3
Let j be 3/(60/20)*(-1 + 7). Solve 13 = j*x - 5 for x.
3
Suppose 4*l - 13*y - 31 = -12*y, 4*l = -3*y + 19. Solve -2 = l*c - 5*c for c.
-1
Suppose -30 + 12 = -3*h. Suppose -i + 6 = -h*v + v, 113 = 3*i + 4*v. Let p = 35 - i. Solve 0 = p*u + u + 5 for u.
-1
Let v be -14 - -8 - (-3 - 2 - 1). Solve v = -2*z - 0*z - 14*z for z.
0
Let p = -57 - -70. Let c = p - 13. Solve 0 = v + 5 - c for v.
-5
Suppose -6*h + 18 = -0*h. Suppose h*j = 7*j - 24. Solve -w = -j*w + 10 for w.
2
Let i = 401 - 265. Let f = i - 127. Solve -1 = -2*q + f for q.
5
Let g = 35 - 31. Let w be 5 - 1*(g - 1). Solve -w*k + 6 = -5*k for k.
-2
Let u(f) = -8*f**3 - 2*f**2 + 2*f + 1. Let q be u(1). Let i be (q/21)/(-1*3/18). Solve -2*s = -4*s + i for s.
1
Suppose -f = -3*d - 8 - 2, d + 5*f = -30. Let v = -4 - d. Solve 4*t = v + 3 for t.
1
Let p be -1*57*(-8)/(17 - -7). Solve p + 51 = -14*w for w.
-5
Suppose -3*m = -44*s + 40*s + 3, -5*s = 5*m + 5. Suppose -3*o - 2*g + 39 - 9 = 0, 0 = 5*o + 3*g - 50. Solve s = -10*a + 5*a + o for a.
2
Let w(k) be the third derivative of -k**4/24 + k**3/6 - 9*k**2. Let o be w(-4). Solve o*z - 7 = -22 for z.
-3
Suppose -40*y = -882 + 42. Solve -18*u - 57 + y = 0 for u.
-2
Suppose 0 = -2*c - 3*h + 9, 0 = 5*c - c - 3*h - 9. Suppose -15 = -c*l + 2*m, -4*l + l + 15 = 3*m. Solve 0 = l*j - 2*j for j.
0
Let z be 6/(-9)*2/((-16)/132). Solve -9 = -2*h - z for h.
-1
Let j(p) = -p**2 + 6*p - 9. Suppose -9 = 5*a - 34. Let s be j(a). Let k = -1 - s. Solve -5 = k*t - 2*t for t.
-5
Let p(r) = 47*r - 32. Let h be p(1). Solve 2*k = -h + 5 for k.
-5
Let a be (-15)/10*(1 - 9). Suppose -7*p + a - 12 = 0. Solve -5*x = -p*x - 25 for x.
5
Let i = 1 - -2. Let c = -80 - -85. Suppose c*d + j - 25 = 0, -i*j + j = 0. Solve d*q + 0 = -10 for q.
-2
Suppose 5*v - 8 = -3*y - 0, -2 = -2*y. Solve 0 = k - v + 4 for k.
-3
Let r(g) = g - 7. Let u be r(9). Suppose -3*b + u*b = -4. Suppose 0 = 3*f + b*w - 6*w - 10, -4*f = w - 6. Solve 3*v + 1 + f = 0 for v.
-1
Let j be ((-12)/8)/(36/8 - 5). Solve -9*y + j*y = -6 for y.
1
Let s be (4 + 0)*(-6)/(-12). Let b = s - 20. Let m be b/30 + (-36)/(-10). Solve -m*x + 8 = 23 for x.
-5
Let l(x) = x**3 + 42*x**2 - 186*x - 85. Let u be l(-46). Solve 41 = -u*c + 41 for c.
0
Let n = 216 - 216. Solve -4*w = -n*w + 4 for w.
-1
Let r(w) = 3*w - 36. Let c be (-159)/(-15) - 6/10 - -2. Let y be r(c). Solve 2*i + 3*i = y for i.
0
Suppose 21 = 9*x + 219. Let o be (-4)/x + 62/22. Solve o = y + 2*y for y.
1
Suppose -3*g + 9 = 0, -29 + 9 = -2*l - 2*g. Solve -l*p + 12 = -9 for p.
3
Suppose -2*q + l + 0*l - 9 = 0, -3*l = 9. Let z be (q/(-2))/(18/(-18)). Let j be 5 + (z - -1)*1. Solve -v + j*v = -2 for v.
-1
Let a(k) = k + 12. Let v be a(-9). Let t(o) = 3 - 3*o - 10*o - 4*o + 15*o. Let z be t(-1). Solve 0 = z*n - 4*n - v for n.
3
Let s(i) = -i**3 + i**2 + 3*i + 7. Let x(w) = -w**3 + 5*w**2 - 6*w + 5. Let c be x(4). Let t be s(c). Let j = t + -32. Solve 1 - 7 = -j*u for u.
3
Let h(r) = -8*r - 2. Let j be (24/(-2))/(1 + -3). Let l(x) = -7*x - 1. Let b(s) = j*l(s) - 5*h(s). Let c be b(2). Solve -4*t + t = c for t.
0
Suppose 217*j - 225*j = 0. Solve -12*b + j*b = 36 for b.
-3
Let t = 6910 - 6906. Let x be 2 - (-2 - -3)*0. Solve -t*h + x + 14 = 0 for h.
4
Suppose 11*y + 4*a + 38 = 13*y, -y = -4*a - 27. Solve -y*u + 28 = -4*u for u.
4
Let t(f) = -f. Let s(y) = 15*y - 23. Let r(p) = 8*p - 11. Let c(w) = -5*r(w) + 3*s(w). Let d(x) = -c(x) - 6*t(x). Let j be d(-10). Solve 2*k + j = 6*k for k.
1
Suppose 0 = -6*k + 17*k - 99. Solve -k*z - 4 = 5 for z.
-1
Let j(f) = -2*f**3 + f**2. Let h be j(-1). Let b(m) = -m + 13. Let y = 19 + -12. Let x be b(y). Solve -x = -0*c + h*c for c.
-2
Suppose 12*u - 15*u = -5*p + 3, -9 = -3*u + p. Solve -m = u*m + 20 for m.
-4
Let l(f) be the first derivative of -2*f**2 + 12*f + 3. Let h be l(3). Solve 2*b + 1 - 3 = h for b.
1
Let w be (8/(-7))/(-2)*7. Solve -u = 3*u + w for u.
-1
Let w(t) = 1. Let j(u) = 3*u + 22. Let q(h) = j(h) - 2*w(h). Suppose 2*c - 3 = -5*g + 2*g, g = -2*c + 1. Let p be q(c). Solve -4*k = k - p for | {
"pile_set_name": "DM Mathematics"
} |
- -254.1. Let l = 254.00000143 - m. Round l to seven decimal places.
0.0000014
Let d = -4.6 + 31.6. Let j = -0.30372358 - -27.30371778. Let q = d - j. What is q rounded to 6 dps?
0.000006
Let o = -22.6 - -26. Let s = o + -7. Let d = s - -8.3. Round d to zero dps.
5
Suppose -30 = -5*j + 45. Suppose 0*i + j = 3*i, -2*f - 5*i = 43975. Round f to the nearest ten thousand.
-20000
Let c(g) = -53*g + 280. Let s be c(54). What is s rounded to the nearest one hundred?
-2600
Suppose 0 = 2*s - 5*l - 115575, -s - 4*l = s - 115620. Round s to the nearest 1000.
58000
Suppose 32*m - 1146630 = -5*m. Round m to the nearest ten thousand.
30000
Let a = -25.008 + 0.008. Let h = 81 + -100.5. Let o = h - a. What is o rounded to the nearest integer?
6
Let x(u) = 68504*u**3 - 2*u**2 + u + 1. Let r be x(1). Suppose -5*s = 4*z + r, -9*z = -3*s - 4*z - 41095. What is s rounded to the nearest 1000?
-14000
Suppose 0 = 9*p - 17357128 - 6897872. What is p rounded to the nearest one hundred thousand?
2700000
Let s = -89 - -26. Let j = -62.999905 - s. Round j to 5 decimal places.
0.0001
Let m = 0.1627 + -0.242. Let d = 0.087 + m. Let s = 0.011 - d. Round s to 3 dps.
0.003
Let j = 19 + -17. Suppose -z = -3*t + 3598, -j*t - 4*z + 3405 = 997. Suppose t = 3*v - 0*v. What is v rounded to the nearest one hundred?
400
Let l = -72.999644 + 73. Round l to 5 decimal places.
0.00036
Let r = 17 - 15. Suppose 7*n = 8*n - r. Suppose -z - 4*u = 66, -2*u + 0*u = -n*z - 122. What is z rounded to the nearest ten?
-60
Let x = 38 - 40.5. Let l = -0.0397 + 2.5097. Let d = l + x. Round d to 2 dps.
-0.03
Let p = 0.0512 - -0.2603. What is p rounded to two decimal places?
0.31
Let n = -3980 + 3979.999989983. Round n to 6 dps.
-0.00001
Let v = 196 - 195.853. Let m = 1.12209 + -0.9767. Let d = m - v. What is d rounded to 4 decimal places?
-0.0016
Let k = 3577 - 3532.624. Let p = k + -45.1. What is p rounded to one dp?
-0.7
Let f be 2 - -6*(-40)/(-15). Suppose -8*c + 6*c = -f. Let a be (-14404)/3 + 12/c. Round a to the nearest one thousand.
-5000
Let j = -348546 + 243733. Let s be (-1 - -5) + -2 + -184815. Let c = s - j. Round c to the nearest 100000.
-100000
Let n = 24.29594 - 24.25. Let s = 0.046 - n. Round s to 5 dps.
0.00006
Let n = -0.0392 - -0.1732. What is n rounded to one decimal place?
0.1
Let j = 182.67 + 0.33. Let t = 171.85 - 354.12. Let m = j + t. What is m rounded to 1 dp?
0.7
Let b = -60597.9850086 + 60598. Let t = b - 0.015. What is t rounded to six decimal places?
-0.000009
Let f(o) = o**2 - 2*o - 6. Suppose 3*g + m + m - 20 = 0, -2*g - 2*m + 16 = 0. Let b be f(g). Suppose -d + b*d = 14000. Round d to the nearest one thousand.
14000
Let o = 118 + -103.4. Let m = -10.4 + -0.6. Let l = m + o. What is l rounded to the nearest integer?
4
Let a = -17.54 + 19. Round a to one decimal place.
1.5
Let g = -5.66 - 0.44. Let l = -0.1 - g. Let r = l + -6.0000024. What is r rounded to six decimal places?
-0.000002
Let p = 1.089 + -78.289. What is p rounded to the nearest 10?
-80
Let r = 0.4539945 - 0.454. Round r to 5 decimal places.
-0.00001
Let y = -1.626 + -0.074. Let h = 12667624 - 12667622.30000224. Let c = h + y. What is c rounded to 7 decimal places?
-0.0000022
Let o = 33 + -33. Suppose o*q = -2*q + 4. Suppose q*z - 4 = -5*f, -z - 2 + 4 = 2*f. Round f to the nearest 10000.
0
Let a = 0.78307 - -476.20693. Let g = -479 + a. Round g to 1 decimal place.
-2
Let f = 19.27 + -0.27. Let k = f - 19.000021. What is k rounded to 6 dps?
-0.000021
Let r = -70.9418317 + -0.0643683. Let x = -71 - r. What is x rounded to three dps?
0.006
Let i(j) = -710001*j**2 + j + 6. Let g be i(3). Let f be (-1)/((-2)/(-4)) + 2 - g. What is f rounded to the nearest 1000000?
6000000
Let r = -142.4 + 153.155. Let w = -11 + r. What is w rounded to 1 dp?
-0.2
Let d = -20.423 - 0.177. Round d to 0 decimal places.
-21
Suppose 17 = 2*n - 7. Let l = -112 - -108. Let q be l/n - 1797/9. What is q rounded to the nearest 100?
-200
Let j = -754.8908 + 820.891. Let i = j - 66. Round i to five dps.
0.0002
Let p = -770056.9699568 - -770058. Let z = p + -1.03. What is z rounded to six decimal places?
0.000043
Let j = 42.9 + 8.1. Let o = j - 51.27. Let l = o - -0.05. What is l rounded to 1 decimal place?
-0.2
Let f = -3025606 + 4356806. Suppose 3*v + v = f. Let q = -172800 + v. What is q rounded to the nearest ten thousand?
160000
Let i = 66.08 - 0.08. Let g = i - 65.99933. Round g to 4 decimal places.
0.0007
Let g = -293.184 - -0.184. Let r = g - -293.00251. What is r rounded to four decimal places?
0.0025
Let g = 0.52 - 0.51999463. Round g to 6 decimal places.
0.000005
Let g(u) = -47867*u - 29 - 114036*u - 2 - 6. Let v be g(21). What is v rounded to the nearest one million?
-3000000
Let u = 1.0869996864 + -1.087. What is u rounded to 7 decimal places?
-0.0000003
Let b = 496 - 495.999999688. What is b rounded to seven decimal places?
0.0000003
Suppose 4*v - k - 54 = 0, 6*k = -4*v + 2*k + 44. Let h = v - 27. Let o be 8*h/(-8)*21. What is o rounded to the nearest 10?
290
Let s = -10.18 - -10.1800438. Round s to six decimal places.
0.000044
Let l(q) = -14*q + 2*q**2 + 0*q - 3*q**2 + 8*q - 6. Let t be l(-4). Suppose -28800 = -t*n - 2*n. What is n rounded to the nearest 1000?
7000
Let d = 0.06380236 + -0.0638. Round d to 7 decimal places.
0.0000024
Let y = 0.017 + 14.383. Let x = -14.400159 + y. Round x to five dps.
-0.00016
Let k = 246 + -162. Let u = -85.2 + k. What is u rounded to 1 decimal place?
-1.2
Let u = 10.3827 - 10.993. Round u to two decimal places.
-0.61
Suppose 33 - 15 = 3*a. Suppose a*m + 6*m + 26160000 = 0. What is m rounded to the nearest one million?
-2000000
Let i = 19.71 + 0.29. Let g = -25 + i. Let v = g - -5.00000022. What is v rounded to 7 decimal places?
0.0000002
Let d = -1.13 - -1.1300000372. Round d to seven dps.
0
Suppose 5*z = 7*z. Suppose -5*w + z*w + 4500000 = 0. Round w to the nearest one hundred thousand.
900000
Suppose -3*s + 1953259 = -1149956. Suppose -8*y = -1053595 - s. Round y to the nearest 10000.
260000
Let y = 3.99 - 0.91. Let x = -1 - -3. Let p = y - x. Round p to one dp.
1.1
Let w = -1996 - 14. What is w rounded to the nearest 100?
-2000
Let d = -3570.655861 + 3572.406. Let r = d + 125.237561. Let l = 127 - r. What is l rounded to 3 dps?
0.012
Let l = -0.86 - -22.46. Let c = 4832.73 + -4812. Let w = l - c. Round w to one dp.
0.9
Let b(g) = 25*g + 19. Let w be b(5). Let j be 31679996/18 + 32/w. Round j to the nearest one hundred thousand.
1800000
Let d = 107 + 41. Suppose f - d - 852 = 0. What is f rounded to the nearest 100?
1000
Suppose -3*m = 2*x - 2 + 8, -4*m = -4*x + 8. Suppose x*w + 3*w = 102. Let r = -64 + w. Round r to the nearest 100.
0
Let p = 9.24 - 9.239999066. Round p to 7 decimal places.
0.0000009
Let t = -35 - -44.4. Let l = 9.4000323 - t. Round l to six dps.
0.000032
Let q = 0.0001 - 380.0001. Let h = -139 - q. Let l = h + -241.000101. What is l rounded to 5 decimal places?
-0.0001
Let d(c) = -c**3 - 9*c**2 - 8*c - 2. Suppose -2 = 2*z - 6. Suppose -z*i - 2*b - 14 = -b, 4*b + 35 = -5*i. Let n be d(i). Round n to the nearest 10.
-40
Let s = -745.855 + 765.8. Let y = -32 - -52. Let v = y - s. Round v to 2 dps.
0.06
Let n = -3.4114 - -3.58. Round n to two dps.
0.17
Suppose -3*s - 4*s + 455 = 0. Suppose -5*h + 4*w = -35980, -h = -w - s - 7130. What is h rounded to the nearest one thousand?
7000
Let j = 0.34064 - 0.3129. Round j to two decimal places.
0.03
Let k = 3.424778 + -3.3808. Let a = -0.0435 + k. Round a to 4 dps.
0.0005
Let o(n) be the first derivative of -42698*n**2 - 20*n - 21. Let r be o(5). What is r rounded to the nearest 100000?
-400000
Let o = -0.087999271 - -0.088. What is o rounded to seven dps?
0.0000007
Let a(n) be the first derivative of -217*n**4/4 - 16*n**3/3 - 9*n**2/2 + 10*n - 12. Let q be a(-11). Suppose j - q = -0*j. Round j to the nearest ten thousand.
290000
Let f = 0.4325 + -0.0265. Let h = -169.594 - f. Let z = -162.7 - h. Round z to zero decimal places.
7
Let c = -36.3057172 - -7.3056957. Let z = 29 + c. Round z to six dps.
-0.000022
Let h = -3.64 + 3.6664. Round h to three dps.
0.026
Let q be ((-9)/27)/(1/(-12)). Suppose q*p - 150006 = p. Let x be 0 + (-4)/(-2) - p. What is x rounded to the nearest 10000?
-50000
Let l = -769728.000056 - -769740. Let k = - | {
"pile_set_name": "DM Mathematics"
} |
divide 578?
False
Is 4 a factor of 199?
False
Is 469 a multiple of 39?
False
Is 2075 a multiple of 31?
False
Is 884 a multiple of 4?
True
Does 100 divide 2762?
False
Is 4 a factor of 723?
False
Is 2140 a multiple of 26?
False
Is 31 a factor of 1028?
False
Is 68 a factor of 10465?
False
Does 3 divide 490?
False
Does 6 divide 212?
False
Is 23 a factor of 874?
True
Is 119426 a multiple of 8?
False
Is 34960 a multiple of 40?
True
Is 11 a factor of 1064?
False
Is 744 a multiple of 93?
True
Is 20988 a multiple of 92?
False
Is 11 a factor of 18139?
True
Is 17523 a multiple of 59?
True
Is 2585 a multiple of 33?
False
Does 18 divide 432?
True
Is 368 a multiple of 16?
True
Does 57 divide 1539?
True
Is 31 a factor of 4727?
False
Does 42 divide 917?
False
Is 23 a factor of 11868?
True
Does 7 divide 2494?
False
Does 13 divide 1385?
False
Does 6 divide 4276?
False
Does 32 divide 352?
True
Does 11 divide 1108?
False
Is 15985 a multiple of 217?
False
Is 158 a factor of 7019?
False
Is 14 a factor of 462?
True
Does 114 divide 2140?
False
Is 4336 a multiple of 13?
False
Is 1116 a multiple of 31?
True
Is 93 a factor of 38332?
False
Is 43604 a multiple of 14?
False
Does 23 divide 26404?
True
Is 1740 a multiple of 13?
False
Is 17 a factor of 61151?
False
Is 19 a factor of 2831?
True
Does 6 divide 3174?
True
Does 52 divide 1997?
False
Is 8903 a multiple of 14?
False
Is 599 a multiple of 59?
False
Does 30 divide 30?
True
Does 6 divide 178?
False
Is 17451 a multiple of 21?
True
Does 29 divide 833?
False
Is 15 a factor of 20475?
True
Does 87 divide 12789?
True
Is 425 a multiple of 6?
False
Is 7676 a multiple of 101?
True
Does 20 divide 108440?
True
Is 3762 a multiple of 57?
True
Does 62 divide 36642?
True
Is 37 a factor of 1517?
True
Does 15 divide 26355?
True
Is 181 a multiple of 47?
False
Is 11 a factor of 97988?
True
Is 7 a factor of 11240?
False
Is 2 a factor of 1663?
False
Is 5 a factor of 3010?
True
Is 5695 a multiple of 19?
False
Is 36078 a multiple of 14?
True
Is 73 a factor of 987?
False
Does 29 divide 1913?
False
Is 33819 a multiple of 248?
False
Is 25 a factor of 106?
False
Is 33 a factor of 1071?
False
Is 9 a factor of 284?
False
Is 1932 a multiple of 84?
True
Is 375 a multiple of 5?
True
Is 216 a multiple of 8?
True
Is 15078 a multiple of 51?
False
Does 13 divide 720?
False
Is 210 a multiple of 10?
True
Does 64 divide 832?
True
Is 44 a factor of 9611?
False
Is 13 a factor of 1157?
True
Is 10794 a multiple of 14?
True
Is 9400 a multiple of 50?
True
Is 25 a factor of 414?
False
Is 546 a multiple of 3?
True
Does 65 divide 24765?
True
Is 33285 a multiple of 105?
True
Is 30 a factor of 8450?
False
Is 103 a factor of 109901?
True
Is 31960 a multiple of 3?
False
Does 47 divide 2021?
True
Does 7 divide 1568?
True
Does 31 divide 325?
False
Does 24 divide 31692?
False
Is 23291 a multiple of 227?
False
Does 35 divide 35?
True
Is 12819 a multiple of 11?
False
Does 20 divide 64220?
True
Does 25 divide 537?
False
Is 4092 a multiple of 51?
False
Is 186 a multiple of 9?
False
Is 37 a factor of 15910?
True
Is 405 a multiple of 31?
False
Does 15 divide 1489?
False
Does 19 divide 4598?
True
Is 4848 a multiple of 101?
True
Is 479 a multiple of 13?
False
Is 26840 a multiple of 44?
True
Does 10 divide 6522?
False
Is 2440 a multiple of 61?
True
Is 5 a factor of 2005?
True
Is 170 a factor of 860?
False
Is 2448 a multiple of 3?
True
Is 25546 a multiple of 26?
False
Is 1082 a multiple of 7?
False
Is 65 a factor of 1837?
False
Is 514 a factor of 26005?
False
Does 144 divide 24012?
False
Is 2588 a multiple of 104?
False
Is 1554 a multiple of 16?
False
Is 28 a factor of 1064?
True
Is 14 a factor of 461?
False
Is 1304 a multiple of 8?
True
Is 7075 a multiple of 25?
True
Is 4 a factor of 41628?
True
Is 14 a factor of 278?
False
Is 50 a factor of 9164?
False
Is 5840 a multiple of 80?
True
Is 20 a factor of 13541?
False
Does 62 divide 9055?
False
Is 10686 a multiple of 26?
True
Is 11040 a multiple of 92?
True
Is 9 a factor of 1341?
True
Is 10 a factor of 361?
False
Is 2 a factor of 11141?
False
Is 11 a factor of 23738?
True
Is 193 a factor of 65782?
False
Does 26 divide 277?
False
Is 1169 a multiple of 19?
False
Does 12 divide 2025?
False
Is 1461 a multiple of 62?
False
Is 560 a multiple of 70?
True
Is 28914 a multiple of 183?
True
Is 25389 a multiple of 88?
False
Is 1582 a multiple of 7?
True
Is 14 a factor of 322?
True
Does 27 divide 714?
False
Is 576 a multiple of 38?
False
Is 31198 a multiple of 279?
False
Does 12 divide 1826?
False
Is 59 a factor of 19488?
False
Is 6 a factor of 538?
False
Is 456 a multiple of 5?
False
Is 95 a factor of 1045?
True
Is 49 a factor of 7742?
True
Does 8 divide 313?
False
Does 41 divide 385?
False
Does 9 divide 20637?
True
Does 101 divide 50931?
False
Is 1394 even?
True
Is 12 a factor of 2100?
True
Is 135 a multiple of 5?
True
Is 2792 a multiple of 4?
True
Is 577 a multiple of 11?
False
Does 10 divide 222?
False
Is 9 a factor of 1140?
False
Is 2 a factor of 101?
False
Is 5518 a multiple of 89?
True
Is 1262 a multiple of 2?
True
Is 312 a multiple of 12?
True
Is 19176 a multiple of 7?
False
Is 6513 a multiple of 3?
True
Is 472 a multiple of 44?
False
Is 53 a factor of 1219?
True
Does 29 divide 3973?
True
Is 45 a multiple of 2?
False
Is 3801 a multiple of 181?
True
Is 2 a factor of 214?
True
Is 4485 a multiple of 3?
True
Is 36 a factor of 86508?
True
Is 78 a factor of 1248?
True
Is 1932 a multiple of 28?
True
Is 88 a factor of 946?
False
Does 8 divide 11913?
False
Is 91127 a multiple of 27?
False
Is 66 a factor of 10692?
True
Does 4 divide 3716?
True
Does 82 divide 1394?
True
Does 79 divide 5350?
False
Does 21 divide 588?
True
Is 403 a multiple of 23?
False
Is 9852 a multiple of 6?
True
Does 10 divide 11555?
False
Does 11 divide 350?
False
Does 10 divide 3150?
True
Does 95 divide 38789?
False
Is 595 a multiple of 11?
False
Is 336 a multiple of 28?
True
Does 2 divide 5094?
True
Is 25749 a multiple of 22?
False
Is 130 a factor of 55120?
True
Does 29 divide 447?
False
Is 1690 a multiple of 86?
False
Does 57 divide 3330?
False
Is 61 a factor of 3209?
False
Is 84 a factor of 2113?
False
Is 27 a factor of 1053?
True
Is 11 a factor of 275?
True
Is 35 a factor of 735?
True
Is 28 a factor of 225?
False
Does 27 divide 27578?
False
Is 37108 a multiple of 21?
False
Is 31 a factor of 41834?
False
Does 2 divide 607?
False
Does 5 divide 45581?
False
Is 42275 a multiple of 31?
False
Does 2 divide 341?
False
Is 6567 a multiple of 10?
False
Is 14 a factor of 74?
False
Is 40 a factor of 11160?
True
Is 140 a factor of 3673?
False
Is 6 a factor of 1380?
True
Does 11 divide 737?
True
Is 53527 a multiple of 85?
False
Is 56 a factor of 4480?
True
Is 2788 a multiple of 10?
False
Does 6 divide 324?
True
Does 20 divide 758?
False
Is 8482 a multiple of 19?
False
Is 4535 a multiple of 123?
False
Is 19043 a multiple of 139?
True
Does 54 divide 49410?
True
Does 30 divide 38220?
True
Does 35 divide 2685?
False
Does 72 divide 24140?
False
Is 8008 a multiple of 77?
True
Is 1836 a multiple of 34?
True
Does 6 divide 1996?
False
Is 13 a factor of 2158?
True
Does 47 divide 611?
True
Is 16656 a multiple of 41?
False
Is 1056 a multiple of 22?
True
Does 24 divide 336?
True
Is 9 a factor of 2470?
False
Is 4692 a multiple of 16?
False
Does 5 divide 49605?
True
Is 3686 a multiple of 21?
False
Is 9809 a multiple of 83?
False
Is 172 a factor of 4472?
True
Does 11 divide 12565?
False
Is 1229 a multiple of 48?
False
Does 4 divide 224?
True
Is 2 a factor of 529?
False
Is 34 a factor of 185?
False
Is 108 a factor of 3672?
True
Does 189 divide 4158?
True
Is 1599 a multiple of 41?
True
Is 504 a multiple of 38?
False
Is 19 a factor of 30020?
True
Does 80 divide 303?
False
Is 4 a factor of 1628?
True
Is 15943 a multiple of 2?
False
Is 2912 a multiple of 32?
True
Is 765 a multiple of 6?
False
Does 17 divide 149?
False
Is 2223 a multiple of 19?
True
Does 3 divide 7986?
True
Does 81 divide 5055?
False
Is 1236 a multiple of 6?
True
Does 68 divide 1224?
True
Does 17 divide 1205?
False
Does 17 divide 306?
True
Is 17 a factor of 238?
True
Is 13 a factor of 736?
False
Is 628 a multiple of 3?
False
Is 62 a factor of 53871?
False
Does 9 divide 655?
False
Is 12850 a multiple of 22?
False
Does 23 divide 2875?
True
Is | {
"pile_set_name": "DM Mathematics"
} |
-2254759*w**2 + 63803*w + 15?
-4509518
What is the third derivative of -68404*p*q**4 + 7822*p*q**3 + 3487159*p*q - 5*p + q**2 - q wrt q?
-1641696*p*q + 46932*p
Find the third derivative of -116446679*i**6 - 123830416*i**2.
-13973601480*i**3
What is the first derivative of -302582624*q + 556525637 wrt q?
-302582624
What is the derivative of -15009756*n + 519268970?
-15009756
What is the derivative of 6300769*q**4 - 1867277?
25203076*q**3
Find the second derivative of -235911659*z**5 - 4*z - 6837662.
-4718233180*z**3
What is the third derivative of 35157452*z**4 + 201*z**2 - 262302*z?
843778848*z
Find the second derivative of -3904400*c**3 - 24*c + 59801.
-23426400*c
Find the second derivative of -265*g**4*m*z - 13262*g**2*m*z + 81*g*m*z - g*m + 2*g*z + 2*m*z + 3*m + 27 wrt g.
-3180*g**2*m*z - 26524*m*z
What is the second derivative of -142194696*d*p**2 - 6*d*p - 644*d - 3202 wrt p?
-284389392*d
What is the third derivative of 328199896*z**3 - 1093048*z**2 + 94*z?
1969199376
Find the second derivative of -80*f**2*u**3 - 8294*f**2*u + 3*f**2 + 5*f + 29664*u**3 + 2*u - 1 wrt u.
-480*f**2*u + 177984*u
What is the second derivative of 233611902*r**4 + r - 11058913?
2803342824*r**2
Find the third derivative of 27*q**4 + 128483*q**3 + 36687066*q**2 wrt q.
648*q + 770898
What is the second derivative of 2*f**4 - 113*f**3 - 14784*f**2 + 10*f - 11117 wrt f?
24*f**2 - 678*f - 29568
What is the third derivative of -33453816*o**5 - o**2 - 246*o - 21708?
-2007228960*o**2
Differentiate -5530741*b*f**4 + 380*b - f**3 + 3074 with respect to f.
-22122964*b*f**3 - 3*f**2
What is the second derivative of -97325*p**4 + 898*p**2 + 813030*p - 716?
-1167900*p**2 + 1796
Differentiate 7*g**3*k - g**3 + 32711*g**2*k + 70*g + 5*k - 619 with respect to k.
7*g**3 + 32711*g**2 + 5
What is the third derivative of -52965255*w**4 - w**2 + 17172*w - 150 wrt w?
-1271166120*w
What is the second derivative of 2*a*m**3*x**2 - 2*a*m**3*x - 863404*a*m**2*x + 44*a*m*x + 153*a*x**2 - 74390*m**3*x**2 wrt x?
4*a*m**3 + 306*a - 148780*m**3
What is the first derivative of -3*c*h**2 + 33030719*c - 1359222*h**4 wrt h?
-6*c*h - 5436888*h**3
What is the second derivative of -124*r**3*s**2 + 49*r**3 - 3*r**2*s**2 - 15*r*s**2 + 14*r*s + 32*s**2 - 90*s wrt s?
-248*r**3 - 6*r**2 - 30*r + 64
What is the derivative of 88957146*w + 36614389 wrt w?
88957146
Differentiate 94*r*x + 15557380*r + 2272*x wrt x.
94*r + 2272
Find the second derivative of i*n**3 - 2*i*n**2 - 27604193*i*n - 335182*n**3 - 6*n**2 wrt n.
6*i*n - 4*i - 2011092*n - 12
Find the first derivative of -1220*d*k**3 + 1283019572*d - 2929*k**3 + k**2 wrt k.
-3660*d*k**2 - 8787*k**2 + 2*k
What is the second derivative of 2*g**3*r**3 + 10507607*g**3*r**2 - 3*g*r**3 + 502742*g*r**2 wrt g?
12*g*r**3 + 63045642*g*r**2
Find the third derivative of 864337*k**2*v*x**4 + 1893*k**2*v*x**2 - 888*k**2*x**2 + 3*k**2*x + 74*v*x**4 - v wrt x.
20744088*k**2*v*x + 1776*v*x
Find the second derivative of -131227208*n**2 - 89631613*n.
-262454416
What is the second derivative of 361759445*m**2 + 784261*m - 95?
723518890
What is the second derivative of 140065*a**3*i**2 + 3*a**3 + 5*a*i + a - 47*i**2 + 2*i + 490 wrt a?
840390*a*i**2 + 18*a
What is the second derivative of -51*q**3 + 40819*q**2 - 53618101*q wrt q?
-306*q + 81638
What is the third derivative of -364668*g*k**3 + 82*g*k**2 + 89*g*k + 2*k**6 + 4*k**3 + 5*k**2 wrt k?
-2188008*g + 240*k**3 + 24
What is the derivative of 316278958*z - 429302026 wrt z?
316278958
Find the third derivative of -2*v**6 - 8*v**5 + 1087903*v**3 - 17876293*v**2 - v - 2.
-240*v**3 - 480*v**2 + 6527418
Find the third derivative of -15994048*z**3 - 9648601*z**2 wrt z.
-95964288
Differentiate 78013121*a - 48373127 with respect to a.
78013121
Differentiate 1062666029*a**2 + 28875350 with respect to a.
2125332058*a
What is the second derivative of 15272*f**2*l*o**2 - 4*f**2*o*u + 10*f*l*u - 12*f*o**2*u + 2463*f*o + 8*l + 20*o**2 wrt o?
30544*f**2*l - 24*f*u + 40
Differentiate -15186656*n*p - 75*n - p - 151236 wrt p.
-15186656*n - 1
What is the derivative of -8*r**2 + 201077*r - 6183555?
-16*r + 201077
Find the first derivative of 80*z**3 - 3771341*z**2 - 2*z + 260962919 wrt z.
240*z**2 - 7542682*z - 2
Find the second derivative of -9720370*i**2*q**2 + 399*i**2*q - 2*i**2 + 716*i*q - 3*q - 1 wrt q.
-19440740*i**2
What is the second derivative of 164386217*h**2 - 136851482*h?
328772434
What is the first derivative of 3609368*p**2 - 9429823?
7218736*p
What is the second derivative of 3140404*y**5 - 164806482*y wrt y?
62808080*y**3
What is the second derivative of -1086884125*i**3 - 647896084*i wrt i?
-6521304750*i
Find the second derivative of 241140*l**2*y**2 - 594*l**2 + 347*l*y - 6*l - 5*y**5 - 2*y wrt y.
482280*l**2 - 100*y**3
Find the second derivative of -10214935*t**3 + 3*t**2 + 364437639*t.
-61289610*t + 6
What is the third derivative of -1296956*b**3*m**2 - 5*b**3 + b**2*m**2 + 2*b**2*m - 24*b**2 + b*m**2 + 23 wrt b?
-7781736*m**2 - 30
What is the second derivative of -2*l*w**4*x + 7997201*l*w**2*x + 33415*l*w*x + 9*l*x - 4*w - 2*x wrt w?
-24*l*w**2*x + 15994402*l*x
What is the third derivative of 29925347*k*m**3 - 10*k*m**2 + 6*k*m + 49*m + 1692 wrt m?
179552082*k
Find the third derivative of 5442974*n**2*o**6 + 2*n**2*o**2 + n**2*o - n*o + 114803*n + o wrt o.
653156880*n**2*o**3
Find the third derivative of -326*o**6 + 108500*o**4 - 140403090*o**2 wrt o.
-39120*o**3 + 2604000*o
Find the first derivative of -75081942*g**2 + 234802371 wrt g.
-150163884*g
What is the third derivative of 2*f**3*k*l - 111192*f**3*l + 15*f**3 - 2915*f**2*l + 768*k*l wrt f?
12*k*l - 667152*l + 90
What is the second derivative of 4*m**2*r**3 + 16*m**2*r**2 - 4886*m**2 - m*r**3 + 3*m - 3254*r**3 - 7*r**2 wrt m?
8*r**3 + 32*r**2 - 9772
Find the first derivative of -614*d**2*w + 2178*d**2 + 5769*d*w + 4*w - 63431 wrt w.
-614*d**2 + 5769*d + 4
What is the third derivative of 2*j**2*s**3 - 2*j**2*s**2 + 225*j**2*s - 82*j*s**3 - j*s**2 - 229*j*s - 22664*s**3 + 3*s**2 + 3*s wrt s?
12*j**2 - 492*j - 135984
Find the third derivative of -96776726*a**6 + 11*a**2 - 124237*a - 9.
-11613207120*a**3
What is the derivative of -2302650*r + 5242581 wrt r?
-2302650
Find the second derivative of 1299*z**5 - 7878*z**2 - 69546969*z wrt z.
25980*z**3 - 15756
Find the first derivative of 239*j**2*p - 397*j**2 + 1111*j + 1661992*p - 128 wrt p.
239*j**2 + 1661992
What is the second derivative of -6*v**3 - 165470*v**2 - 5241*v - 331 wrt v?
-36*v - 330940
What is the third derivative of -4*s**5 + 3071970*s**3 + 2*s**2 + 7*s - 16212?
-240*s**2 + 18431820
What is the third derivative of -7722200*h**4 + 2*h**2 + 883794*h - 2 wrt h?
-185332800*h
Find the second derivative of -23699957*o**2 - 73166034*o.
-47399914
What is the second derivative of 160*f**3*i**2 - 17826*f**2*i**2 - 2*f*i + 232*f + 9*i**2 + 540 wrt f?
960*f*i**2 - 35652*i**2
What is the first derivative of -420*l**2*v + 28006186*l**2 - 250313*l*v + 10*l wrt v?
-420*l**2 - 250313*l
What is the derivative of -189912053*j**3 - 155459676 wrt j?
-569736159*j**2
Find the second derivative of 7313333*z**2 + 901798*z + 4.
14626666
What is the derivative of 1597*q**3 - 1549*q - 6065872 wrt q?
4791*q**2 - 1549
Find the third derivative of -197260*o**6 + o**4 - 3*o**3 + 21*o**2 + 54175*o - 1 wrt o.
-23671200*o**3 + 24*o - 18
Find the second derivative of 2*x*z**4 + 23009*x*z**2 - 16545*x*z + 103*z**3 + 114*z + 5 wrt z.
24*x*z**2 + 46018*x + 618*z
Find the third derivative of -51*c**4*n**2 + 5*c**3*n**2 + 470*c**3 + 3797*c**2*n - c*n**2 + 20*n wrt c.
-1224*c*n**2 + 30*n**2 + 2820
What is the second derivative of -694*c*d**2*o*z + 82847*c*d**2 - c*d*o - 15*c*d*z - c*d + 115152*c*o*z + 2*d*o*z + d*z wrt d?
-1388*c*o*z + 165694*c
What is the third derivative of 67463463*r**3 - 122653*r**2 - 67 wrt r?
404780778
Find the second derivative of 12313749*o**2 - 2552529*o + 2 wrt o.
24627498
What is the third derivative of -263*h*w**4 - 2*h*w**2 - 11836*h*w + 2*h - 3*w**4 + 585*w**3 + 7*w**2 wrt w?
-6312*h*w - 72*w + 3510
Find the third derivative of 110938*c**4 + 44*c**3 - 4*c**2 - 2304693*c.
2662512*c + 264
Find the second derivative of -1524240*p**3 + 140*p**2 - 2*p - 175134194.
-9145440*p + 280
Find the third derivative of -2410455 | {
"pile_set_name": "DM Mathematics"
} |
8164, 42430, 56696, 70962?
85228
What is the next term in -6517, -52298, -176567, -418570, -817553, -1412762, -2243443?
-3348842
What is the next term in 6820, 7164, 7508?
7852
What comes next: 38327, 76445, 114353, 152051, 189539, 226817, 263885?
300743
What is next in -53, -105, -261, -521?
-885
What is next in 3444, 7609, 11776, 15945, 20116?
24289
What is the next term in 40128, 160636, 361522, 642786, 1004428, 1446448, 1968846?
2571622
What is next in 105665374, 105665372, 105665370, 105665368, 105665366, 105665364?
105665362
What comes next: -53527, -50498, -47469, -44440?
-41411
What is next in 119376, 237937, 356494, 475041, 593572, 712081, 830562, 949009?
1067416
What is the next term in 233908, 467857, 701804, 935749, 1169692, 1403633?
1637572
What comes next: -131819, -132124, -132429, -132734, -133039, -133344?
-133649
What is next in -421, -1245, -3445, -7699, -14685?
-25081
What is the next term in -60732759, -121465516, -182198273?
-242931030
What is next in -236490882, -236490862, -236490828, -236490774, -236490694, -236490582, -236490432, -236490238?
-236489994
What is next in 13606105, 13606095, 13606085, 13606075?
13606065
What is the next term in -110094, -110127, -110160, -110193, -110226?
-110259
What comes next: -18842719, -37685410, -56528085, -75370738, -94213363?
-113055954
What is the next term in 95981, 95964, 95935, 95894, 95841?
95776
What comes next: 3017, 5595, 8173, 10751, 13329, 15907?
18485
What is next in 1488, 3291, 5088, 6879, 8664, 10443?
12216
What is the next term in 4004, 12459, 20914, 29369, 37824, 46279?
54734
What is next in -104797, -839040, -2831989, -6712996, -13111413, -22656592?
-35977885
What is next in -6983, -55698, -187959, -445550, -870255, -1503858, -2388143?
-3564894
What is next in -53592, -428672, -1446758, -3429354, -6697964, -11574092, -18379242, -27434918?
-39062624
What is next in 2113, 16856, 56809, 134578, 262769?
453988
What is next in -131887, -128825, -125759, -122689, -119615, -116537?
-113455
What comes next: -872, -1367, -1830, -2249, -2612, -2907, -3122, -3245?
-3264
What is next in 5412, 21438, 48130, 85488?
133512
What is next in 197629, 395269, 592907, 790543, 988177?
1185809
What is next in 10604391, 10604383, 10604375, 10604367, 10604359, 10604351?
10604343
What is next in -2963, -5667, -10175, -16487, -24603, -34523, -46247?
-59775
What comes next: -15144, -30287, -45434, -60585, -75740?
-90899
What comes next: -48038, -85240, -122428, -159596, -196738, -233848?
-270920
What comes next: -1700669, -3401346, -5102023?
-6802700
What comes next: 60177, 60483, 60989, 61695, 62601?
63707
What comes next: -1316, -2340, -3652, -5252?
-7140
What is next in 4363, 1674, -2823, -9140, -17289, -27282, -39131?
-52848
What is the next term in 5327, 47976, 163731, 389144, 760767, 1315152?
2088851
What is the next term in -184194, -184245, -184296, -184347?
-184398
What comes next: 55570, 56133, 56700, 57271, 57846?
58425
What comes next: 4260, 8912, 13958, 19392, 25208?
31400
What is the next term in -1993, -1380, 4431, 18038, 42039, 79032?
131615
What is the next term in -36143015, -36143011, -36143009, -36143009, -36143011, -36143015?
-36143021
What comes next: -17378, -69482, -156306, -277844, -434090, -625038, -850682?
-1111016
What comes next: 133834, 133988, 134142, 134296?
134450
What comes next: -17884340, -35768676, -53653012, -71537348?
-89421684
What is the next term in 179, 289, 443, 647, 907, 1229, 1619?
2083
What is the next term in 1882, 3669, 5450, 7225, 8994?
10757
What is next in 13122330, 13122329, 13122328, 13122327, 13122326, 13122325?
13122324
What comes next: 76915, 153814, 230713?
307612
What is next in 244411, 977583, 2199535, 3910267, 6109779?
8798071
What is next in 67320, 67412, 67504, 67596?
67688
What comes next: 304626464, 304626467, 304626472, 304626479, 304626488, 304626499?
304626512
What comes next: -24, 40, 136, 264, 424?
616
What comes next: -7394, -7391, -7392, -7397, -7406, -7419?
-7436
What is the next term in 20276, 162397, 548266, 1299785, 2538856, 4387381, 6967262?
10400401
What is next in -138037, -276084, -414121, -552148, -690165, -828172, -966169?
-1104156
What is the next term in 4320, 6069, 9006, 13131, 18444?
24945
What is the next term in 1496, 1328, 1122, 878?
596
What is the next term in 263378, 526752, 790120, 1053476, 1316814?
1580128
What comes next: 7353452, 7353443, 7353432, 7353419, 7353404, 7353387, 7353368?
7353347
What is the next term in -2055, -8211, -18479, -32865, -51375, -74015, -100791?
-131709
What comes next: -1318, -1091, -774, -367, 130, 717, 1394?
2161
What is next in 21844, 22826, 23808, 24790, 25772, 26754?
27736
What is the next term in -187532673, -375065351, -562598031, -750130713?
-937663397
What is the next term in 6768634, 6768627, 6768616, 6768601, 6768582, 6768559?
6768532
What is next in -22841, -82232, -178175, -310664, -479693, -685256?
-927347
What comes next: 54814134, 109628273, 164442412?
219256551
What is next in 7510, 25856, 55036, 95050, 145898, 207580, 280096?
363446
What is the next term in 5539218, 5539212, 5539204, 5539194, 5539182, 5539168, 5539152?
5539134
What comes next: -572, -4979, -12322, -22601, -35816?
-51967
What is the next term in -150, -111, 212, 1029, 2550, 4985, 8544, 13437?
19874
What comes next: -2936, -5524, -8028, -10406, -12616, -14616, -16364, -17818?
-18936
What comes next: -2382197, -2382167, -2382123, -2382059, -2381969, -2381847?
-2381687
What is the next term in -208280, -208326, -208436, -208640, -208968?
-209450
What is the next term in 87733, 175598, 263463?
351328
What comes next: -283792, -284601, -285412, -286225, -287040, -287857?
-288676
What is the next term in 8904, 9166, 9604, 10218, 11008, 11974, 13116?
14434
What is the next term in 983, 8210, 28071, 66962, 131279, 227418, 361775, 540746?
770727
What comes next: 11443429, 11443427, 11443425, 11443423, 11443421, 11443419?
11443417
What comes next: 96, 455, 1070, 1941, 3068?
4451
What is the next term in 577719, 2312559, 5203967, 9251949, 14456511, 20817659, 28335399?
37009737
What is the next term in -14300, -14148, -13996, -13844?
-13692
What is next in 677, 816, 1053, 1382, 1797, 2292, 2861?
3498
What is the next term in -5460, -16733, -28006, -39273, -50528, -61765, -72978, -84161?
-95308
What comes next: -1074, -1973, -2724, -3327, -3782, -4089, -4248?
-4259
What comes next: 13767, 27765, 42003, 56493, 71247, 86277, 101595, 117213?
133143
What is next in 9489, 9503, 9543, 9615, 9725, 9879?
10083
What is next in -5959, -12051, -18145, -24241, -30339?
-36439
What is the next term in -4348, -4284, -4220, -4156, -4092, -4028?
-3964
What comes next: 197, 1134, 2647, 4712, 7305?
10402
What is the next term in 2433453, 4866911, 7300369, 9733827?
12167285
What comes next: -249, -1001, -2277, -4071, -6377?
-9189
What is next in -1642346, -1642448, -1642550?
-1642652
What is next in 2380686, 2380897, 2381108, 2381319, 2381530?
2381741
What is the next term in -3644303, -7288620, -10932937, -14577254, -18221571?
-21865888
What is the next term in -303, -616, -1057, -1620, -2299, -3088?
-3981
What is the next term in 2670, 2746, 2852, 2988, 3154, 3350, 3576?
3832
What is next in 961667549, 961667550, 961667561, 961667588, 961667637?
961667714
What comes next: 450, 3457, 11594, 27429, 53530, 92465?
146802
What is the next term in -13847, -13104, -11865, -10130, -7899, -5172, -1949?
1770
What is next in -486400, -970910, -1455406, -1939882, -2424332, -2908750?
-3393130
What comes next: -12668, -12607, -12548, -12491, -12436, -12383, -12332?
-12283
What is the next term in 8876, 17635, 26280, 34805, 43204, 51471, 59600, 67585?
75420
What comes next: -8000782, -16001562, -24002342?
-32003122
What is the next term in -3041124, -3041109, -3041092, -3041073, -3041052, -3041029?
-3041004
What is the next term in -6154, -13215, -20276, -27337, -34398, -41459?
-48520
What is next in -150616643, -150616646, -150616649, -150616652, -150616655?
-150616658
What comes next: 434182303, 434182306, 434182309, 434182312, 434182315?
434182318
What comes next: 78368, 78412, 78488, 78596, 78736, 78908?
79112
What is the next term in -1969, -2024, -2061, -2074, -2057?
-2004
What comes next: 320778, 641592, 962394, 1283178, 16 | {
"pile_set_name": "DM Mathematics"
} |
22 + 13, 3*p = 4*x + 77. Let m = -29 + p. Which is bigger: m or b?
b
Let h be 4 - 0/(-5 + 4). Suppose 2 = h*k + 10, 3*v - 4*k - 8 = 0. Which is smaller: v or 13/62?
v
Let g be 2/(-5) - (141/(-15) + 4). Suppose 20*h + g*o - 26 = 17*h, -3*o = -12. Suppose -8 = -8*v + 4*v. Are v and h equal?
True
Suppose 3*p + 630 = -3*l, -2*l + 6*p - 429 = 5*p. Let f = -213 - l. Which is smaller: f or 24/31?
f
Let q be 12/(-8) - (15/20)/(10/4). Let i = 2 + -2. Is q less than or equal to i?
True
Suppose 5 = 5*r, 2*f - r - 31 - 38 = 0. Suppose 79 = 3*s + b, 4*s - 63 = -5*b + f. Let n = s - 5. Is 21 equal to n?
False
Suppose 67*d + 57*d + 543 = -57*d. Is d at most -577?
False
Let y be 272/(-170) + (-1)/(-2)*(1 - -3). Is -2543 at most as big as y?
True
Suppose 0*g = -2*g + g. Let o be (6/33)/(9/(-27) - -1). Is g at most o?
True
Suppose 414*c - 382*c = 28896. Which is smaller: 905 or c?
c
Let h = 30280 - 30270. Suppose -o + 40 = 4*o. Suppose -v - 5*s - o = 0, -6 = -3*v + 3*s + 42. Which is bigger: h or v?
v
Let l be 0 - 4 - (-23 - -18). Let v be -1*(l*4 + (-13250)/3310). Is v != -1?
True
Let x(q) = 56*q - 83. Let u be x(8). Suppose 4*w = -11 - u. Which is greater: 0 or w?
0
Suppose -17*a + 96 = -20*a. Let h = 958 - 2969/3. Is h at most a?
False
Let p = -104257/195510 - 1/13034. Let c = 0.7 - -0.2. Let j = 0.1 + c. Is j equal to p?
False
Let v = -9098 - -16519. Which is bigger: 7420 or v?
v
Let o = 6671/1986 + -17/662. Suppose 5*k + 20 = -0*k. Let q = k - -6. Which is smaller: o or q?
q
Let o = 96755 - 1839481/19. Is -2/9 > o?
True
Let n = -0.617 + 3.535. Let v = n + -2.9. Let r = -18.018 + v. Which is smaller: -0.1 or r?
r
Let o be (1 + -1)/(-4)*(0 - 1). Suppose -3*k + 15 = 4*u, 2*k + 3*u + 0 - 11 = o. Let n be (-69)/12 - -3 - 6/(-2). Which is smaller: k or n?
n
Suppose 0 = 17*n + 7*n + 192. Let i be (6/4)/(n + (-47)/(-6)). Which is bigger: i or 2?
2
Let m be ((-260)/(-48))/(3510/23760). Suppose -4*z + j = 215, -5*z - 5*j - 197 = -z. Let c = z + 89. Is m != c?
True
Let j(y) = -y**2 + 40*y + 1269. Let r be j(-49). Is -3092 at most r?
True
Suppose -400 = -7*b + 62. Let r be b/(-10) - 36/(-60). Let z be (r/(-35))/(4/(-20)). Is 0 at most z?
False
Let n = 56/61 + -4770/5063. Let y = 7/69 - 10/23. Is y smaller than n?
True
Let k(s) = 2*s + 20. Let l be k(0). Let m be -15*(64/l - 4). Let x = m + -13. Which is smaller: x or -2?
-2
Let u = -96 - -164. Let x = -9773 + 9768. Which is greater: x or u?
u
Let w(p) = -2*p**3 + 3*p**2 - 7*p - 7. Let r be w(4). Let s = -118 - r. Does s = -27/7?
False
Let l(o) = o**3 + 2*o**2 - 1. Let g be (-27)/18 + (-81)/(-2). Let y = g - 40. Let z be l(y). Do 4/7 and z have the same value?
False
Suppose -5*z - 5*c - 35 = 0, z - c = -0*c - 11. Let u = 11141 - 11151. Which is smaller: z or u?
u
Let q = -177 + 135. Let y be 5 - (-198)/q - 9/7. Is y != 3/64?
True
Suppose -5*r = 3*g - 212, 0 = -g - g - 3*r + 142. Let l = g + -98. Is l <= -24?
True
Let x be (1646844/(-120))/31 - (-6)/(-20). Is -445 greater than or equal to x?
False
Let h(q) = -q - 4. Let v be h(-5). Let a = -3/2141 + -3079/858541. Which is smaller: a or v?
a
Suppose 5*a - 2*j = 3 + 13, 4*j - 20 = -3*a. Let r(d) = -3*d + 17. Let b be r(a). Let c be (1/6)/(4 - (-85)/(-20)). Are c and b equal?
False
Let k = 19018 - 19185. Which is smaller: k or -164?
k
Let n = 2/331 - 1996/1655. Let f = 48 - 50. Are n and f non-equal?
True
Let c = 47 - 50. Let p be c/(-222)*(-28)/35. Is p smaller than 1?
True
Let m = -13661/30 + 911/2. Which is bigger: m or -602?
m
Suppose 5*i - 8*s - 11007 = -9*s, 0 = 4*s - 28. Are i and 2202 equal?
False
Let j = 7253/3 - 616493/255. Let y be (-3)/2*(-2)/(-3). Is j at least y?
True
Let g = -0.1144 - 0.3456. Let w = 102 - 105. Which is greater: g or w?
g
Let a = 17 - 15. Suppose -6*j = -a*j - 4. Let h be 3/((-30)/28) - -4. Is j smaller than h?
True
Suppose 15*c = 39 - 204. Let d be 3 + -1 + 6/c*3. Suppose 0 = -u - u - 2. Is d smaller than u?
False
Let t be (4/2)/(-6 - 2712/(-453)). Let p = t - -152. Do p and -4/87 have different values?
True
Let g be (-56)/(-10) - 6/10. Suppose -65 = g*d + s, -s - 2*s = -2*d - 26. Let j be (725/(-50) - (-7)/2) + 0. Which is greater: d or j?
j
Let r be (-6)/117*45/100*(-8)/798. Which is bigger: 1 or r?
1
Suppose -3*x = 3*p + 27, 8*x = 4*p + 4*x + 12. Let g be p/(8 - (6 + 0)). Is -0.3 not equal to g?
True
Suppose 0 = -5*u + 9 + 16. Suppose j = 4*z - 20, 4*j - u*z + 20 = -4*z. Which is smaller: -45/13 or j?
j
Let i = -3801 - -163457/43. Suppose -5*t = 4*n + 15, 38 = 5*n - 5*t + 23. Which is greater: n or i?
i
Let f be 3 + (-272)/46 + 5. Let s = f + -1273/621. Is s <= 0.02?
False
Suppose 2*w - 1 - 8 = 5*u, 4*u - 4*w + 12 = 0. Let x be (81916/(-84))/((-1)/u). Let h = x + 975. Is -1 at least as big as h?
False
Let r(l) = l**3 + 13*l**2 + 14*l + 28. Let s be r(-12). Let w be -2*60/16 - s. Let v = w + 13. Which is smaller: 3 or v?
v
Let r = 13 + -28. Let z = -16.55 - r. Let n = -0.15 + z. Is 0 > n?
True
Let a(q) = q**2 - 4*q - 31. Let f be (-7 - (-76)/12) + (-26)/(-3). Let h be a(f). Which is smaller: -3/332 or h?
-3/332
Suppose 0 = -122*l + 118*l + 724. Suppose 719 = -6*f - l. Is -452/3 > f?
False
Suppose 0 = -g + 3*t - 9 + 5, 5*t = 15. Suppose -3*a = g*i + 22, 9*i - 12*i - 16 = -a. Which is greater: a or 1/219?
a
Let r = 206.6 + -22.6. Let a = r + -186. Which is greater: a or -0.06?
-0.06
Suppose 0 = -65*g + 60*g + 20. Suppose -g*m - 8 = 0, z + m - 4*m - 5 = 0. Let s be 12/(-2)*(-2)/(-124). Which is smaller: z or s?
z
Let k = 8268 + -8268. Is k at most -47/137?
False
Let o be (7/(-3))/((-7)/126). Suppose -4*n + 2*n = -o. Suppose 11*h - 56 = n. Is h >= 7?
True
Suppose -407 = -4*t - 207. Let r be t/12 + (-31 - -27). Which is smaller: r or 1?
r
Suppose 0 = -2*v + v + 3. Suppose -4*a + 22 - 121 = -v*q, 0 = -a + 2*q - 21. Let b be (-53 + 54)*(-28 + 1 + 0). Do a and b have different values?
False
Let t = 3022 + -3008.27. Let a = t - 11. Which is smaller: -2/5 or a?
-2/5
Let d be 693744/(-49567) - (-15 + 1). Is 0.1 greater than d?
True
Let g be 251/(-166) + 48/32. Let p = 12 - 34. Let f be (-13)/(143/(-2)) + (-18)/p. Is g at least as big as f?
False
Let n be 0*((-14)/77 - 100/660). Which is bigger: 2/11557 or n?
2/11557
Let n be (-2)/(-11) + 35192/44. Suppose 0*u - n = 4*u. Let z be 0 + (34/u - 1/(-4)). Is -1 greater than z?
False
Let f = 4333 - 4332. Is -2/47 >= f?
False
Suppose 3*b = 2*t + 42, -t + 4*b = -5*t - 64. Let h be t*(1 - 3)/((-32)/(-8)). Is h at most as big as 11?
True
Let r = -6870 - -9518. Which is greater: 2647 or r?
r
Let k be (-36)/(-8)*12/27. Suppose 0 = s + k*r + 11, 0*r + 16 = -4*r. Is 4 < s?
False
Suppose -21*p - 1872 = 38*p - 7*p. Which is smaller: p or -103?
-103
Suppose 56*i - 13*d - 2885 = 61*i, 0 = -5*i - 5*d - 2845. Which is smaller: i or -1?
i
Let w be 108/(-72)*8/(-30). Is w at least as big as -13545?
True
Let l(n) = 9*n - 3*n**2 + 15*n + 18*n - 24*n**3 - 41*n. Let x be l(-1). Is x at most 22?
True
Suppose -3*p - 918 = -93. Suppose 9*u + 317 = -2158. Is p less than or equal to u?
True
Suppose -14*g + 2*g = -5136. Suppose 96 = 436*h - g*h. Let j = 5623/532 + 24/133. Which is smaller: h or j?
j
Suppose 48839 = -7*c + 175903. Is 18151 less than c?
True
Let p = -932/97 + 2523118/262579. Which is bigger: 1 or p?
1
Suppose 4*d - 3*c = -455, 1221 = -4*d + 2*c + 775. Let i = 48 - 153. Which is smaller: d or i?
d
Suppose 3*w + k = -4*k + 32, 4*k = -2*w + 24. Suppose -3*y = w*x - 34, x = 3*y - x - 28. Let v = -18 + 27. Which is bigger: v or y?
y
Let y = -1.0821 + 1.0821. Are y and 80/21 non-equal?
True
Let w(r) = r**3 - 4*r**2 + 2*r + 12. Let p be w(5). Let l = -43 + p. Let b be ((-8)/(-3))/(l/(-36)). Do b and -25 have the same value?
False
Let u = 0.61 - 58.31. Let n = u + 5.7. Let d = -2 + n. Which is smaller: 1 or d?
d
Suppose 2*q + 10 = 2*c, 0 = -3*q - 6. Let z(u) = -c*u + 5*u - u - 2*u. Let w be z(0). Is w at most as big as 5/4?
True
Let s(a) = 4*a. Let n be s(-1). Let m(f) = -f**3 + 24*f**2 + 26*f + 22. Let t be m(25). Suppose 42*p - t*p = 45. Which is bigger: n or p?
n
Let i = 266 - -5. Let a be 10/(-3) - ((4 - -4) + 66300/(-234)). Which is bigger: i or a?
a
Let a = -20.393 + 20.5. Let p = a - 0.007. Is p bigger than 325?
False
Suppose -8*j - 18*j - 32616 = -34*j. Is j at least 4078?
False
Let j = 2.1 - 0.1. Let n = 1.97 - | {
"pile_set_name": "DM Mathematics"
} |
mallest value? (a) -4 (b) 3 (c) -0.2 (d) -55
c
What is the biggest value in 2/379, 3, -2/11, 19?
19
Which is the second biggest value? (a) -0.9 (b) 0.06 (c) -5
a
What is the biggest value in 5, 3/29, 0.12?
5
What is the third smallest value in 2/17, -41, -1/4, 3/5?
2/17
Which is the second smallest value? (a) 0 (b) 11 (c) 0.07
c
Which is the second smallest value? (a) -26 (b) -2 (c) 9 (d) 2
b
Which is the third biggest value? (a) -0.5 (b) -285/2 (c) 4/7 (d) 1
a
What is the biggest value in 28/11, -2/45, 2?
28/11
Which is the second smallest value? (a) -0.014 (b) -0.5 (c) 1
a
Which is the second smallest value? (a) 37/6 (b) -4 (c) -2/3
c
What is the smallest value in 7, -2/7, 4/7, 0.1?
-2/7
What is the second biggest value in 2, 5, 2/319, 1?
2
What is the smallest value in -4, 105, 5, -0.3?
-4
What is the third biggest value in -1/3, 0.023, -2/11?
-1/3
What is the second biggest value in -58, 5, -5/4?
-5/4
Which is the biggest value? (a) -6/13 (b) -6 (c) -2 (d) 1/3
d
What is the third smallest value in -3, 0.5, -70?
0.5
Which is the smallest value? (a) -2/5 (b) -1/3 (c) 2/17
a
What is the smallest value in -15/31, -4, -9/2?
-9/2
Which is the biggest value? (a) -0.5 (b) -5 (c) -12/35 (d) 1
d
Which is the third biggest value? (a) 5 (b) -0.009 (c) -1/7
c
What is the fourth biggest value in 0.2, -9, 5, -0.5?
-9
Which is the fourth smallest value? (a) 2/7 (b) -6 (c) -4 (d) 0 (e) 4
a
What is the third biggest value in 0.19, -4, 2/3?
-4
Which is the smallest value? (a) -3 (b) 56 (c) -0.03
a
What is the third biggest value in -3, 4/5, 48?
-3
Which is the third biggest value? (a) -1 (b) 0.2 (c) -5 (d) 2/25
a
Which is the second biggest value? (a) -7 (b) -2/13 (c) 4 (d) 1/4
d
What is the second smallest value in -1/26, 0.8, 1/11, -2/7?
-1/26
What is the smallest value in -0.1, -4, 79, 5?
-4
What is the third smallest value in 2, 19, 1, -0.1?
2
Which is the second biggest value? (a) -1 (b) 5 (c) 2/9 (d) 1/7 (e) -4
c
Which is the smallest value? (a) 38 (b) -4 (c) -2
b
What is the second biggest value in 0, -4, 1278, 2?
2
What is the second smallest value in 2, 0.2, 0, -258?
0
Which is the biggest value? (a) 5 (b) -2 (c) 54 (d) -1
c
What is the fourth smallest value in 4, -3/8, 0, -4?
4
Which is the second biggest value? (a) 2/5 (b) -0.4 (c) -3/4
b
Which is the third biggest value? (a) -13 (b) 186/11 (c) -3
a
What is the biggest value in -5, 15, 3?
15
Which is the fourth biggest value? (a) 4 (b) 5 (c) -1/12 (d) -0.1
d
What is the fourth smallest value in -0.1, -1.1, 0.3, 5?
5
What is the smallest value in 7, 7/6, -9, -1/2?
-9
What is the second smallest value in -273, 0.5, 0?
0
Which is the third biggest value? (a) -5 (b) 369 (c) 0.8 (d) 1 (e) -1
c
Which is the third biggest value? (a) 2 (b) -0.1 (c) -2 (d) -2/3
d
Which is the biggest value? (a) -0.5 (b) 0.91 (c) 6
c
What is the biggest value in -4, 1/7, 1/6?
1/6
Which is the third smallest value? (a) -35 (b) -1 (c) -7/4 (d) -0.2
b
Which is the second biggest value? (a) -0.3 (b) 1/12 (c) -2
a
Which is the fourth smallest value? (a) 1/5 (b) 1 (c) -1 (d) 11
d
Which is the third smallest value? (a) -2/3 (b) 3 (c) 0.026 (d) -1/10 (e) 0
e
Which is the smallest value? (a) -2/9 (b) -22 (c) 2.55
b
What is the third smallest value in -2, -12.09, 2?
2
What is the fourth biggest value in 246, -5/2, 0.5, 0.3?
-5/2
What is the smallest value in 1/40, 1/4, -2, 0.2, 2/19?
-2
What is the third smallest value in 2/321, -0.2, 1/3?
1/3
Which is the second smallest value? (a) 0.1 (b) -1.405 (c) 0.3
a
What is the second smallest value in 0.079, 3, 0.1?
0.1
Which is the third biggest value? (a) -1/2 (b) -2/63 (c) -0.06
a
What is the fourth biggest value in -3, -0.4, 4, 0?
-3
Which is the fourth smallest value? (a) -3/8 (b) 0 (c) -3 (d) -0.07
b
What is the fifth smallest value in 4, -4, 0.3, -4/3, -3?
4
What is the smallest value in 1, -73, -2/9?
-73
What is the biggest value in -1, -2/3, -17, 4?
4
Which is the second biggest value? (a) 1/2 (b) -0.7 (c) 0 (d) -1
c
Which is the fifth smallest value? (a) -0.1 (b) 9 (c) 2 (d) 1 (e) -60
b
What is the third biggest value in 2/9, -6, -1, -2?
-2
What is the fourth biggest value in 0.3, 2, -4, -14?
-14
Which is the second biggest value? (a) 6 (b) -3/8 (c) 3 (d) -4 (e) 1/3
c
What is the second smallest value in 5, 0.01, 4, -4?
0.01
Which is the smallest value? (a) 6/11 (b) -190 (c) -1/6
b
Which is the smallest value? (a) 2/3 (b) -0.1 (c) 0.49
b
Which is the third smallest value? (a) 1.2 (b) 2 (c) -1 (d) 3
b
Which is the third biggest value? (a) 113 (b) -2/5 (c) -0.1 (d) 2.2
c
What is the second smallest value in -2/5, 2546, 2?
2
Which is the second smallest value? (a) 17 (b) 0.21 (c) 3
c
What is the third smallest value in 2, 12, 5?
12
What is the second biggest value in 4, 24, 2, -3/7?
4
Which is the third biggest value? (a) 0 (b) -1411 (c) 1
b
Which is the biggest value? (a) -7 (b) -0.2 (c) 2/81 (d) 0
c
Which is the third smallest value? (a) -0.5 (b) -30 (c) -1.1 (d) 4/9 (e) -3
c
What is the smallest value in 2, -1, -0.1?
-1
What is the fourth biggest value in 7, -0.2, -3, -459?
-459
What is the biggest value in 5, -1/2, -0.03, -4?
5
Which is the smallest value? (a) 141 (b) 1 (c) -1/4
c
Which is the second biggest value? (a) 0.4 (b) -0.4 (c) 1 (d) -16 (e) 7
c
Which is the second biggest value? (a) 0 (b) 2/7 (c) 7/2 (d) -16.4 (e) -0.4
b
What is the fourth biggest value in 0.3, 0.097, -3/8, -0.1?
-3/8
Which is the third biggest value? (a) -5 (b) -1/12 (c) -1/3 (d) 1/11
c
What is the fourth biggest value in -1/3, 0, 1, 584?
-1/3
What is the smallest value in 7/11, 2, -1/5, 3/2?
-1/5
Which is the smallest value? (a) 3/4 (b) 362 (c) -5
c
Which is the biggest value? (a) 5 (b) -0.1 (c) -0.11 (d) 1/3
a
Which is the fourth biggest value? (a) 1/6 (b) 1 (c) 2/11 (d) -21
d
Which is the fifth biggest value? (a) -1/3 (b) 4 (c) 1/5 (d) -0.1 (e) -5
e
What is the third smallest value in 3, -0.1, 23?
23
What is the smallest value in 5, 1, 3, 1/4?
1/4
Which is the third smallest value? (a) 0 (b) -2/7 (c) 3 (d) 1
d
What is the second smallest value in 2/3, -72, 0.3, -5?
-5
Which is the third biggest value? (a) -0.1 (b) -9 (c) -2/7
b
Which is the smallest value? (a) -1 (b) 0.003 (c) -0.3
a
What is the smallest value in -5, 1/6, -4, 1/4, 2/15?
-5
Which is the third smallest value? (a) 2/11 (b) -2 (c) -4 (d) -0.08
d
What is the second biggest value in 0.3, -0.031, 1/5?
1/5
Which is the fourth biggest value? (a) 5 (b) -2/13 (c) 1/9 (d) -2
d
What is the second biggest value in 5, -0.01, 0.35?
0.35
What is the fourth smallest value in 4, 1/7, -4/27, -4/5?
4
Which is the smallest value? (a) -1 (b) -5 (c) 0.1 (d) 3.1
b
What is the third smallest value in 6, -7, 8?
8
Which is the second biggest value? (a) -0.109 (b) -4 (c) -2/5
c
Which is the biggest value? (a) 22 (b) 1 (c) 5
a
Which is the third biggest value? (a) 26 (b) 0.4 (c) -0.2 (d) 0.5 (e) 4
d
What is the fourth smallest value in 3, 6, -10, -0.01, -3?
3
Which is the second smallest value? (a) -31 (b) -0.4 (c) 1/4 (d) 3
b
What is the third biggest value in 1/3, -6, -0.05, -5, 7?
-0.05
Which is the second biggest value? (a) 0.5 (b) 2/3 (c) -2/7 (d) -109 (e) 1/61
a
Which is the biggest value? (a) 1 (b) -0.1 (c) 452 (d) 0.4 (e) 0
c
What is the second smallest value in 1/3, 1/11, -4, 12?
1/11
Which is the second smallest value? (a) 0.19 (b) 4 (c) -4 (d) -1/5
d
Which is the biggest value? (a) -5 (b) -0.7 (c) -3 (d) 0
d
Which is the biggest value? (a) -5 (b) 1/34 (c) 0
b
Which is the biggest value? (a) 1/2 (b) -22 (c) -3
a
Which is the biggest value? (a) -19 (b) 4 (c) -2
b
What is the smallest value in -2, -5, -1.2, 4?
-5
Which is the third smallest value? (a) -22 (b) -4 (c) -46.9
b
What is the smallest value in 2, -4, 27/8, 1/2, 0?
-4
Which is the second biggest value? (a) -1137 (b) -3/4 (c) -11
c
What is the second smallest value in 2, -0.038, 0.3, 1?
0.3
What is the third smallest value in -6, -5/9, 5, 2, 0.5?
0.5
What is the second smallest value in -0.043, -1/3, -0.2?
-0.2
Which is the smallest va | {
"pile_set_name": "DM Mathematics"
} |
he value of 4/((-36)/(-45)) - 10?
-5
What is 55/275 + 99/105?
8/7
-5 + (-3 - -8) - 2
-2
(-5364)/1043 - (-7 - -2*1)
-1/7
Calculate (-5 - -2)*-1 + 25/(-5).
-2
Evaluate -3*8/(-6)*40/(-720).
-2/9
What is the value of (-2)/(-6) - (1 - 114/198)?
-1/11
What is the value of (-15)/(-45)*1*-1?
-1/3
What is the value of 5/(-70)*-6*(-8)/(-12)?
2/7
-8*(-10 - (-324)/32)
-1
Evaluate (-3 + 12/4)/(4 - 3).
0
What is 4/16*(-480)/12?
-10
Calculate (14/(-14))/((-1)/(-5)).
-5
72/48*16/36
2/3
Evaluate (88/66)/(((-4)/(-3))/2).
2
What is 105*12/200 - (-2 + 8)?
3/10
0 + (-46)/6 + 7
-2/3
What is ((-9)/(189/(-28)))/(14/3)?
2/7
Calculate 0 - (-17)/34 - (-14)/4.
4
What is the value of (-1 - (-12)/15)/((-783)/435)?
1/9
(-36)/27*6/4*-1
2
2 + (-114)/(-21) + -3 + -4
3/7
What is 4/(-38) - 64/114?
-2/3
What is 4 + -2 + -5 + 26/10?
-2/5
(2 - (-151)/(-52)) + 2/13
-3/4
10/(-45) - 16/9
-2
What is the value of (77/(-22))/((-3)/(-6))?
-7
Evaluate (-4)/3*6/20.
-2/5
What is the value of 5 + (365/75)/(-1)?
2/15
What is the value of (((-3)/(-2))/1)/(15/15)?
3/2
What is the value of -4 + 232/60 + 0?
-2/15
(21 - 15) + -14*4/8
-1
What is the value of (6/10 - 3/(-45))*-1?
-2/3
What is 8 + -8 + 3 - 1/(-1)?
4
160/(-275) + (-4 - (-138)/33)
-2/5
What is 1/36*(-47 - -43)?
-1/9
What is the value of 189/(-81)*12/4?
-7
(496/168 - 3)/(1/(-12))
4/7
Calculate (27/(-6))/(-9)*2.
1
Calculate 225/180*2/(-35)*-2.
1/7
Calculate (-3)/(-10 + 5 + -16).
1/7
What is the value of (-3)/((-6)/(-4)) + 4?
2
(3 + -4)/(20/(-12) + 2)
-3
What is the value of -7 - (-20 + 5) - 6?
2
5 - (3 - (-1)/2*2)
1
Evaluate (-504)/(-420) + (-1)/(10/32).
-2
(252/(-108))/(1/3)
-7
What is the value of (13 + 12)/((-30)/(-4))?
10/3
Calculate 11 + -12 + (-10)/(-14).
-2/7
What is 9/(-3) + ((-448)/(-21))/8?
-1/3
231/242 - (-18)/33
3/2
Calculate (0 - (-6)/(-4))/(14/(-28)).
3
Calculate (60/48)/((-3)/(-12)).
5
What is 6*(-1 + 4 - (-51)/(-18))?
1
Evaluate (1*10/(-5))/2.
-1
What is -10 - 2244/(-221) - 4/195?
2/15
((-54)/(-12) + -4)*-10
-5
(-3)/18 - (-208)/(-480)
-3/5
Calculate 1/(-3)*(-5 + 6).
-1/3
What is the value of (1 + (-4)/5)*20/(-6)?
-2/3
Evaluate ((-2)/3)/(4/(6 - -18)).
-4
What is the value of (4/18)/((-5)/1620*-9)?
8
Evaluate (-4)/1 + 18 + -15.
-1
Evaluate (4/6)/(120/108).
3/5
((-35)/(-10) + -3)/((-42)/(-8))
2/21
What is the value of 10/36 + 24/108?
1/2
What is (10/(-175))/((-1)/(-5))?
-2/7
Calculate (-1)/((-2)/6*-9).
-1/3
Calculate -4 + (-96)/(-10) + 12/30.
6
Calculate 5*(-15)/((-1350)/24).
4/3
Calculate 962/156 + 2 + (-26)/12.
6
Calculate (-202)/909 + 104/(-18).
-6
What is the value of (2/1 - 3)*3?
-3
What is ((-14)/(-5))/(315/900)?
8
What is (-14)/(-10) + -1 + 85/(-25)?
-3
What is the value of 234/162 - 2/(-9)?
5/3
30/9*(-48)/64
-5/2
What is (-2)/7*9/(-6)?
3/7
What is the value of (35/10 - 3)/(25/10)?
1/5
What is the value of -2 + 44/24 + 92/120?
3/5
Evaluate (8/36)/((-8)/6 + 2).
1/3
What is -7 + 4 + -2*16/(-10)?
1/5
(1755/(-130))/((-1)/(-4)*-6)
9
-2*1/10 + 0
-1/5
What is (-3)/4 - (-9)/12?
0
What is the value of (9 - (-4 + 7)) + -6?
0
Calculate 3*(377/39 + -10).
-1
(1/(-5))/((-5)/125)
5
-6 + (486/8)/9
3/4
Evaluate (-6)/15 - (21/5 + -5).
2/5
What is 3 - ((-1)/(-2))/(63/462)?
-2/3
What is the value of 0 + -2 - (-58 + 55)?
1
What is (-22 - -19)/((-9)/(-16)) + 3?
-7/3
What is the value of (-2)/1 + 65/20?
5/4
Calculate (20/(-4) + 8)/(-2).
-3/2
Evaluate -7*(-1)/(8/(-8)).
-7
Evaluate 26/52 + 7/2.
4
Evaluate (1 - 18/15)/((-49)/980).
4
What is the value of (5 - 0)*(-4)/(-70)?
2/7
What is 4 + 346/(-84) + (-2)/(-7)?
1/6
What is the value of ((-92)/299)/((-10)/13)?
2/5
What is the value of (-1)/((-26)/3)*12/9?
2/13
What is the value of ((-168)/63 + 2)*(-42)/4?
7
Calculate (-8)/88 - (-696)/(-88).
-8
What is -6 + 192/(-28) - -14?
8/7
Calculate (-5 - (-15)/5) + (-3 - -2).
-3
Calculate (-1)/7*(-130)/(-195).
-2/21
What is 7 + -7 - 5/1?
-5
Evaluate 2*(8 + (-206)/26).
2/13
Calculate (-80)/100 - 0/1.
-4/5
What is the value of -3 - (-6)/(-18)*(-45)/5?
0
Calculate 0 + 0 - (35/(-11) + 3).
2/11
Evaluate 0 + 0 + 6/4.
3/2
Evaluate 0/(-6)*(3 + -6 - -2).
0
Evaluate 2 - 27/24*2.
-1/4
Calculate (-1)/(2*1)*(37 - 37).
0
What is -1 - 29/((-232)/80)?
9
Evaluate 0*(3/9)/(1/(-3)).
0
Evaluate 0 + (3 - 2/(-6) - 3).
1/3
Calculate (-3)/1 - (2 - (-9)/(-9)).
-4
What is the value of (-19 - -23)*(-1)/(-8)*-6?
-3
7/(((-1)/4*-8)/(-2))
-7
What is the value of 8/(-60) - (-396)/945?
2/7
Calculate ((-850)/(-35))/(-17) + 4/7.
-6/7
3*13/(-12) + 3
-1/4
Evaluate 1/3*9/(-21).
-1/7
Calculate 3 + -13 - 1024/(-104).
-2/13
Calculate (-28)/63*1/(-2).
2/9
What is the value of (1/15)/(4/(-12))?
-1/5
Evaluate -2*(-5)/(5 + -1 + 2).
5/3
What is the value of (-48)/(-12) - 0*(-1)/(-3)?
4
What is 2*3*4/24?
1
(-72)/154 - 16/(-88)
-2/7
Calculate ((-4)/(-3))/(-2*(-2)/(-12)).
-4
What is the value of ((-9)/30*4)/((-2)/5)?
3
What is the value of (126/112)/((-24)/16)?
-3/4
What is 0*((-55)/15)/11?
0
What is -2*(-2 + 64/36)?
4/9
Calculate 23/(-115) + (-5)/((-50)/52).
5
Calculate 3*(-20)/150*(-10)/(-12).
-1/3
Calculate (-13)/4 - (-4 - -3)*3.
-1/4
Calculate 7/(-4) - (-407)/148.
1
What is 0 + 28/4 + -12?
-5
Calculate ((-2)/(-8))/((-23)/(-644)).
7
(3 - 1)/((-17)/3 - -3)
-3/4
What is ((-38)/(-40) - 2/10)/(-6)?
-1/8
Calculate (10 - 3)*3/(-15)*5.
-7
Evaluate (2 + (-12)/5)*50/(-10).
2
1079/(-332) - 1*2/(-8)
-3
What is (56/7 - 9) + (-3 - 2)?
-6
Evaluate (0/(-2))/(15/90*6).
0
What is -6*((-2)/12 + 7/(-21))?
3
What is 4*13/(-546) - (-128)/21?
6
Evaluate 20/8 - (-84)/(-48).
3/4
Calculate 28 + -31 + (5 - -1).
3
What is the value of 32/(-80)*(-1 - -6)?
-2
Evaluate (-62)/527 - (-38)/34.
1
Calculate (16*10/40)/((-2)/1).
-2
-1*(-10)/(-12) - 33/(-18)
1
((-6)/33)/(96/(-264))
1/2
What is (0 - (-12)/(-40)) + 2/4?
1/5
Calculate 10/(-75) - (-2)/15.
0
What is (-2)/(-17) - (-264)/935?
2/5
10/(-40)*(-17 - 3)
5
What is (0 - -1)*((-100)/70 + 1)?
-3/7
((-40)/(-50))/((-1)/(-5))
4
What is the value of (12/21)/(16/(-14) + 2)?
2/3
(10 - 11) + (-10)/(-4)
3/2
Evaluate (-98)/(-42) - 78/45.
3/5
What is the value of -12 - (-1 + -9) - (0 + -4)?
2
Calculate 2/7 + 99/21.
5
What is (3/12)/((-56)/672)?
-3
What is (-21)/7 - -1*(1 - 0)?
-2
What is (14/8 - 3)/((-3)/(-12))?
-5
What is (-4)/(-6)*(17/68 - 0)?
1/6
Evaluate (-1)/3 - 9/9.
-4/3
Evaluate (2/24)/(4/6*1).
1/8
What is the value of 13/52*((-36)/(-15))/(-1)?
-3/5
(-10)/4*(-4)/(-85)
-2/17
Calculate (-16)/(7 - -1) + -2.
-4
What is the value of 4/6*6/16?
1/4
What is (-4 - (-63)/15)*20/6?
2/3
(5 + -1 - -4) + (-138)/18
1/3
0 + -2 + 1/(6/18)
1
22/(-24) - (114/8)/19
-5/3
Evaluate ((-6)/4)/(33/4).
-2/11
Evaluate 4 + (24 - -6)/(-5) + -1.
-3
Evaluate (3/(-15))/((-12)/(-75))*-4.
5
Evaluate 86/(-301) + (-30)/(-7).
4
Calculate (-6 + 38/6)*-21.
-7
What is (-2)/5 + (-64)/(-210)?
-2/21
What is the value of -2 - ((-18)/4)/(38/16)?
-2/19
Evaluate 4 + (4 - (-1 - -5)).
4
Calculate 20/360*-9 - 11/(-14).
2/7
Evaluate (3/7)/(12/(-84)).
-3
What is 44/(-22)*(-2)/58?
2/29
What is 720/(-168) - (1 - 5)?
-2/7
What is the value of 33/(-21) + 1 + 0?
-4/7
Evaluate 44/(-33) - (-3 - -3).
-4/3
What is 1 - (-108)/(-110) - 4/20?
-2/11
What is 2 - (-1 - 3)/(-2)?
0
Evaluate (-7)/((-49)/(-2)) + 0.
-2/7
24/(-14) + (4 - 2)
2/7
Calculate (-3)/12 - ((-100)/16 + 2).
4
What is 5*((-198)/225)/11?
-2/5
Calculate 5 + -8 - (4 - (-434)/(-63)).
-1/9
Evaluate (-2)/1 + 10 + 210/(-20).
-5/2
What is the value of ((-16)/(-36))/(4/18)?
2
-1 + 5*(-7)/(-175)
-4/5
What is the value of ((-4)/(-16))/((-16)/32)?
-1/2
Evaluate (8 - 220/35)/(0 - -3).
4/7
Evaluate (-10)/4*3/(-9)*2.
5/3
6/(2/(-1)) + 91/35
-2/5
What is the value of (-18)/(-45) - (-418)/(-95)?
-4
Evaluate ((-2)/(-6))/(1 - (-30)/(-27)).
-3
What is (9/(-18))/(6/4)?
-1/3
What is (-8)/(-10)*5/2?
2
Calculate 3/12 + (-2)/8.
0
What is (-4)/16*(20 + -32)?
3
(-9)/6 - (2 + (-28)/8)
0
Evaluate (-7)/4 + (10 + 2)/6.
1/4
Evaluate 5 + 2*(2 + -7).
-5
Evaluate ((-1)/(-3))/(2 - 5/2).
-2/3
Calculate (-1 + 15/18)/1.
-1/6
Evaluate 2/(6/27)*4/(-12).
-3
Evaluate 1*-2 - (-4320)/2080.
1/13
Evaluate (3 - 13/3)/(0 - -14).
-2/21
Calculate 1 + 0*4/24.
1
What is the value of (-12)/(-78) + 280/(-637)?
-2/7
225/(-125) + (-1)/5
-2
What is the value of (10/26)/(235/94)?
2/13
44/308 + (-58)/14
-4
What is 1/((-22)/10 - -2) + 2?
-3
What is (-3 - -7)*(-3 - 2/(-1))?
-4
What is the value of 1/(-2) + -2*(-3)/(-4)?
-2
What is the value of 34/ | {
"pile_set_name": "DM Mathematics"
} |
-3*l**2 + 295297*l - 3
What is the h'th term of 780, 1291, 1816, 2355, 2908?
7*h**2 + 490*h + 283
What is the a'th term of 40435, 80824, 121121, 161284, 201271, 241040?
-7*a**3 - 4*a**2 + 40450*a - 4
What is the d'th term of 65441, 523413, 1766481, 4187195, 8178105?
65425*d**3 - 2*d**2 + 3*d + 15
What is the j'th term of 7721, 7591, 7477, 7379, 7297, 7231?
8*j**2 - 154*j + 7867
What is the v'th term of -355426, -710585, -1065744, -1420903, -1776062?
-355159*v - 267
What is the k'th term of 68391, 77272, 86153, 95034, 103915?
8881*k + 59510
What is the z'th term of 52239660, 104479318, 156718976?
52239658*z + 2
What is the n'th term of -95708, -95188, -94682, -94196, -93736, -93308, -92918, -92572?
-n**3 - n**2 + 530*n - 96236
What is the l'th term of -191982, -382813, -573644, -764475, -955306, -1146137?
-190831*l - 1151
What is the j'th term of 95290684, 190581366, 285872048, 381162730?
95290682*j + 2
What is the t'th term of -1173013, -9384049, -31671147, -75072337, -146625649, -253369113?
-1173005*t**3 - t**2 + 2*t - 9
What is the o'th term of -15103, -58463, -130723, -231877, -361919?
o**3 - 14456*o**2 + o - 649
What is the y'th term of 284410, 288597, 292784, 296971, 301158, 305345?
4187*y + 280223
What is the x'th term of -94489, -188895, -283215, -377449, -471597, -565659?
43*x**2 - 94535*x + 3
What is the u'th term of 516484, 1032966, 1549446, 2065924, 2582400?
-u**2 + 516485*u
What is the x'th term of 1454761, 1454764, 1454767, 1454770?
3*x + 1454758
What is the l'th term of 73789, 147547, 221271, 294961, 368617, 442239?
-17*l**2 + 73809*l - 3
What is the i'th term of 66924, 66908, 66882, 66840, 66776, 66684, 66558?
-i**3 + i**2 - 12*i + 66936
What is the c'th term of 84775550, 84775555, 84775562, 84775571, 84775582, 84775595?
c**2 + 2*c + 84775547
What is the u'th term of 222462, 450586, 678710?
228124*u - 5662
What is the l'th term of -222, 7, 1112, 3525, 7678, 14003, 22932, 34897?
72*l**3 + 6*l**2 - 293*l - 7
What is the q'th term of 679433, 679439, 679445, 679451?
6*q + 679427
What is the f'th term of -89682, -179319, -268914, -358467?
21*f**2 - 89700*f - 3
What is the y'th term of -8368, -16541, -24554, -32407, -40100?
80*y**2 - 8413*y - 35
What is the o'th term of 14603, 23397, 32203, 41027, 49875, 58753?
o**3 + 8787*o + 5815
What is the n'th term of -69199, -138283, -207245, -276025, -344563, -412799, -480673, -548125?
10*n**3 + n**2 - 69157*n - 53
What is the t'th term of 705, 1733, 3417, 5757, 8753, 12405, 16713?
328*t**2 + 44*t + 333
What is the h'th term of -1383, -5452, -12295, -21912?
-1387*h**2 + 92*h - 88
What is the q'th term of -4192, -3358, -2524?
834*q - 5026
What is the q'th term of 34375944, 68751884, 103127824, 137503764, 171879704?
34375940*q + 4
What is the i'th term of 118897, 118858, 118795, 118708, 118597, 118462, 118303?
-12*i**2 - 3*i + 118912
What is the a'th term of 89616, 358448, 806484, 1433712, 2240120, 3225696?
-2*a**3 + 89614*a**2 + 4*a
What is the z'th term of -3524, -3550, -3576, -3590, -3580?
2*z**3 - 12*z**2 - 4*z - 3510
What is the s'th term of 11362, 22970, 34564, 46138, 57686, 69202?
-s**3 - s**2 + 11618*s - 254
What is the t'th term of 357709946, 357709943, 357709938, 357709931, 357709922, 357709911?
-t**2 + 357709947
What is the z'th term of 8948428, 17896858, 26845288, 35793718, 44742148?
8948430*z - 2
What is the h'th term of -26131774, -52263541, -78395298, -104527045, -130658782?
5*h**2 - 26131782*h + 3
What is the r'th term of -233735730, -233735727, -233735724, -233735721, -233735718?
3*r - 233735733
What is the s'th term of 14123, 113233, 382423, 906791, 1771435, 3061453, 4861943, 7258003?
14183*s**3 - 58*s**2 + 3*s - 5
What is the s'th term of 13473, 55300, 125017, 222630, 348145, 501568?
s**3 + 13939*s**2 + 3*s - 470
What is the q'th term of 100, 613, 1972, 4597, 8908?
70*q**3 + 3*q**2 + 14*q + 13
What is the h'th term of 418588, 1674360, 3767312, 6697444?
418590*h**2 + 2*h - 4
What is the r'th term of 5132811, 5132804, 5132785, 5132748, 5132687, 5132596, 5132469?
-r**3 + 5132812
What is the m'th term of 10750101, 10750099, 10750101, 10750107, 10750117, 10750131, 10750149?
2*m**2 - 8*m + 10750107
What is the m'th term of -5373362, -10746721, -16120082, -21493445, -26866810, -32240177?
-m**2 - 5373356*m - 5
What is the o'th term of 1188, 7262, 17394, 31590, 49856, 72198, 98622, 129134?
o**3 + 2023*o**2 - 2*o - 834
What is the c'th term of 339860, 1359464, 3058818, 5437928, 8496800?
c**3 + 339869*c**2 - 10*c
What is the t'th term of -27516, -27692, -27986, -28398?
-59*t**2 + t - 27458
What is the v'th term of 104, 272, 440, 560, 584, 464, 152, -400?
-8*v**3 + 48*v**2 + 80*v - 16
What is the z'th term of 9702, 19437, 29172, 38907, 48642?
9735*z - 33
What is the f'th term of 249006, 248200, 247394, 246588, 245782?
-806*f + 249812
What is the w'th term of 1633200, 3266354, 4899508, 6532662?
1633154*w + 46
What is the d'th term of 176573892, 176573887, 176573880, 176573871, 176573860?
-d**2 - 2*d + 176573895
What is the c'th term of -209464, -209390, -209328, -209284, -209264, -209274, -209320?
-c**3 + 81*c - 209544
What is the c'th term of 7553, 33617, 77057, 137873, 216065, 311633?
8688*c**2 - 1135
What is the p'th term of 5778006, 5778003, 5778000?
-3*p + 5778009
What is the u'th term of 4356, 4490, 4642, 4824, 5048?
2*u**3 - 3*u**2 + 129*u + 4228
What is the s'th term of 60887, 60840, 60793?
-47*s + 60934
What is the j'th term of 3868, 7839, 11830, 15853, 19920, 24043, 28234, 32505?
2*j**3 - 2*j**2 + 3963*j - 95
What is the b'th term of 53869, 215511, 484915, 862081, 1347009?
53881*b**2 - b - 11
What is the l'th term of -10045, -40095, -90149, -160207, -250269, -360335?
-10002*l**2 - 44*l + 1
What is the m'th term of 5344234, 10688464, 16032694, 21376924, 26721154, 32065384?
5344230*m + 4
What is the u'th term of -8487, -33576, -75391, -133932, -209199, -301192, -409911?
-8363*u**2 - 124
What is the s'th term of -1654134, -1654131, -1654128, -1654125, -1654122, -1654119?
3*s - 1654137
What is the h'th term of 25759524, 25759526, 25759534, 25759554, 25759592, 25759654, 25759746, 25759874?
h**3 - 3*h**2 + 4*h + 25759522
What is the d'th term of 54315, 53946, 53577, 53208, 52839, 52470?
-369*d + 54684
What is the r'th term of 562214, 562221, 562220, 562205, 562170, 562109, 562016?
-r**3 + 2*r**2 + 8*r + 562205
What is the c'th term of 38285, 153088, 344411, 612254, 956617, 1377500?
38260*c**2 + 23*c + 2
What is the c'th term of -213297, -427164, -642161, -858852, -1077801?
-94*c**3 - c**2 - 213206*c + 4
What is the b'th term of 24342, 97017, 218024, 387363, 605034, 871037, 1185372?
24166*b**2 + 177*b - 1
What is the n'th term of -124, -153, -156, -133, -84?
13*n**2 - 68*n - 69
What is the d'th term of 187, 3780, 14103, 34702, 69123, 120912, 193615?
591*d**3 - 181*d**2 - d - 222
What is the q'th term of -99092644, -198185280, -297277916, -396370552, -495463188, -594555824?
-99092636*q - 8
What is the g'th term of -1321386, -1321404, -1321424, -1321446, -1321470, -1321496, -1321524?
-g**2 - 15*g - 1321370
What is the d'th term of -281535, -1126148, -2533821, -4504542, -7038299?
2*d**3 - 281542*d**2 - d + 6
What is the f'th term of -80083, -160143, -240153, -320089, -399927?
4*f**3 + f**2 - 80091*f + 3
What is the n'th term of 72933, 73366, 73795, 74220, 74641, 75058?
-2*n**2 + 439*n + 72496
What is the b'th term of 789, 1233, 2145, 3759, 6309, 10029, 15153?
39*b**3 + 171*b + 579
What is the g'th term of 9516, 37287, 83570, 148365, 231672, 333491?
9256*g**2 + 3*g + 257
What is the c'th term of 28438, 31513, 36638, 43813, 53038, 64313?
1025*c**2 + 27413
What is the n'th term of -163668, -654720, -1473140, -2618928, -4092084, -5892608, -8020500?
-163684*n**2 + 16
What is the z'th term of -55756, -446307, -1506382, -3570745, -6974160, -12051391?
-55794*z**3 + 2*z**2 + z + 35
What is the k'th term of 499957, 999919, 1499881, 1999843?
499962*k - 5
What is the j'th term of -2511543, -2511548, -2511563, -2511594, -2511647, -2511728, -2511843, -2511998?
-j**3 + j**2 - j - 2511542
What is the k'th term of 56, -162, -448, -838, -1368, -2074?
-6*k**3 + 2*k**2 - 182*k + 242
What is the g'th term of -491314, -1965256, -4421826, -7861024, -12282850?
-491314*g**2
What is the w'th term of -328, -940, | {
"pile_set_name": "DM Mathematics"
} |
8668889 to the power of 1/9, to the nearest integer?
6
What is the square root of 619579 to the nearest integer?
787
What is the sixth root of 9982107 to the nearest integer?
15
What is the cube root of 3048600 to the nearest integer?
145
What is 429004 to the power of 1/2, to the nearest integer?
655
What is the square root of 16816669 to the nearest integer?
4101
What is the cube root of 35999 to the nearest integer?
33
What is 1502015 to the power of 1/2, to the nearest integer?
1226
What is 4332 to the power of 1/6, to the nearest integer?
4
What is the square root of 27613668 to the nearest integer?
5255
What is the cube root of 214292 to the nearest integer?
60
What is 919846 to the power of 1/2, to the nearest integer?
959
What is 200608 to the power of 1/2, to the nearest integer?
448
What is the square root of 126582 to the nearest integer?
356
What is 116791 to the power of 1/8, to the nearest integer?
4
What is the third root of 1075573 to the nearest integer?
102
What is 2115427 to the power of 1/2, to the nearest integer?
1454
What is the cube root of 154627 to the nearest integer?
54
What is the third root of 162587 to the nearest integer?
55
What is the seventh root of 32391468 to the nearest integer?
12
What is 887707 to the power of 1/4, to the nearest integer?
31
What is the cube root of 157300 to the nearest integer?
54
What is the third root of 1814308 to the nearest integer?
122
What is the square root of 3553029 to the nearest integer?
1885
What is the seventh root of 1552712 to the nearest integer?
8
What is 1931264 to the power of 1/8, to the nearest integer?
6
What is the fifth root of 27375 to the nearest integer?
8
What is 2531837 to the power of 1/3, to the nearest integer?
136
What is the cube root of 831034 to the nearest integer?
94
What is 2971235 to the power of 1/9, to the nearest integer?
5
What is 358902 to the power of 1/8, to the nearest integer?
5
What is the sixth root of 3058998 to the nearest integer?
12
What is the fifth root of 109698 to the nearest integer?
10
What is the eighth root of 100121 to the nearest integer?
4
What is 1038135 to the power of 1/2, to the nearest integer?
1019
What is 22948798 to the power of 1/9, to the nearest integer?
7
What is the tenth root of 2465451 to the nearest integer?
4
What is the square root of 9405495 to the nearest integer?
3067
What is 3542082 to the power of 1/6, to the nearest integer?
12
What is 7200331 to the power of 1/3, to the nearest integer?
193
What is the square root of 2835196 to the nearest integer?
1684
What is 254481 to the power of 1/2, to the nearest integer?
504
What is the third root of 27474684 to the nearest integer?
302
What is 61879 to the power of 1/7, to the nearest integer?
5
What is the third root of 2033707 to the nearest integer?
127
What is 2214934 to the power of 1/2, to the nearest integer?
1488
What is 1655069 to the power of 1/8, to the nearest integer?
6
What is 575958 to the power of 1/4, to the nearest integer?
28
What is 2234681 to the power of 1/2, to the nearest integer?
1495
What is the fifth root of 12858792 to the nearest integer?
26
What is 1014287 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 124816 to the nearest integer?
5
What is 320314 to the power of 1/5, to the nearest integer?
13
What is 282355 to the power of 1/6, to the nearest integer?
8
What is 1993335 to the power of 1/2, to the nearest integer?
1412
What is the square root of 1053205 to the nearest integer?
1026
What is the cube root of 574445 to the nearest integer?
83
What is the fifth root of 174536 to the nearest integer?
11
What is 95740 to the power of 1/3, to the nearest integer?
46
What is the seventh root of 22043607 to the nearest integer?
11
What is 87150 to the power of 1/6, to the nearest integer?
7
What is 503775 to the power of 1/2, to the nearest integer?
710
What is the cube root of 2363346 to the nearest integer?
133
What is 860564 to the power of 1/8, to the nearest integer?
6
What is 436283 to the power of 1/4, to the nearest integer?
26
What is the tenth root of 4366885 to the nearest integer?
5
What is the eighth root of 12161727 to the nearest integer?
8
What is 7770 to the power of 1/2, to the nearest integer?
88
What is the tenth root of 85269 to the nearest integer?
3
What is the square root of 230598 to the nearest integer?
480
What is the seventh root of 148357 to the nearest integer?
5
What is 854167 to the power of 1/9, to the nearest integer?
5
What is 53844 to the power of 1/6, to the nearest integer?
6
What is 9445899 to the power of 1/10, to the nearest integer?
5
What is the third root of 3097910 to the nearest integer?
146
What is the fifth root of 32318984 to the nearest integer?
32
What is 2993411 to the power of 1/2, to the nearest integer?
1730
What is 1888723 to the power of 1/2, to the nearest integer?
1374
What is the ninth root of 3351687 to the nearest integer?
5
What is the cube root of 247041 to the nearest integer?
63
What is 281868 to the power of 1/2, to the nearest integer?
531
What is the cube root of 336680 to the nearest integer?
70
What is the third root of 1459402 to the nearest integer?
113
What is the square root of 5793579 to the nearest integer?
2407
What is 744339 to the power of 1/3, to the nearest integer?
91
What is the square root of 11647263 to the nearest integer?
3413
What is 229081 to the power of 1/2, to the nearest integer?
479
What is the eighth root of 266396 to the nearest integer?
5
What is 347126 to the power of 1/2, to the nearest integer?
589
What is 8934817 to the power of 1/2, to the nearest integer?
2989
What is 271122 to the power of 1/10, to the nearest integer?
3
What is 178697 to the power of 1/8, to the nearest integer?
5
What is the sixth root of 459257 to the nearest integer?
9
What is 90898 to the power of 1/2, to the nearest integer?
301
What is the square root of 7781 to the nearest integer?
88
What is the third root of 21931874 to the nearest integer?
280
What is 1299534 to the power of 1/2, to the nearest integer?
1140
What is the square root of 1502289 to the nearest integer?
1226
What is the third root of 12206 to the nearest integer?
23
What is the square root of 1148004 to the nearest integer?
1071
What is 5687407 to the power of 1/5, to the nearest integer?
22
What is the square root of 2343146 to the nearest integer?
1531
What is the square root of 82553 to the nearest integer?
287
What is 803888 to the power of 1/3, to the nearest integer?
93
What is the square root of 1931605 to the nearest integer?
1390
What is the ninth root of 2637084 to the nearest integer?
5
What is the seventh root of 641833 to the nearest integer?
7
What is the third root of 1370461 to the nearest integer?
111
What is the ninth root of 22697680 to the nearest integer?
7
What is the square root of 681224 to the nearest integer?
825
What is 14755552 to the power of 1/2, to the nearest integer?
3841
What is 458293 to the power of 1/5, to the nearest integer?
14
What is the square root of 3341150 to the nearest integer?
1828
What is the cube root of 1381321 to the nearest integer?
111
What is 278079 to the power of 1/3, to the nearest integer?
65
What is the square root of 29722344 to the nearest integer?
5452
What is 4429140 to the power of 1/2, to the nearest integer?
2105
What is 56257 to the power of 1/9, to the nearest integer?
3
What is the sixth root of 4863717 to the nearest integer?
13
What is 4600370 to the power of 1/2, to the nearest integer?
2145
What is 188701 to the power of 1/6, to the nearest integer?
8
What is 26802 to the power of 1/5, to the nearest integer?
8
What is the cube root of 1969966 to the nearest integer?
125
What is 42646 to the power of 1/2, to the nearest integer?
207
What is 4564526 to the power of 1/4, to the nearest integer?
46
What is 23192431 to the power of 1/4, to the nearest integer?
69
What is the seventh root of 16417211 to the nearest integer?
11
What is 62040 to the power of 1/8, to the nearest integer?
4
What is the third root of 39365853 to the nearest integer?
340
What is the square root of 267848 to the nearest integer?
518
What is 2789367 to the power of 1/2, to the nearest integer?
1670
What is 17 | {
"pile_set_name": "DM Mathematics"
} |
nominator of (o/28)/(6/67) and (-4)/(-14) + 354/280.
40
Suppose 20 = -t + 6*t, 0 = 2*p - 2*t - 4. Suppose -65 = -6*i + i + 4*z, -5*z = -25. Let k = 25 - i. Calculate the lowest common multiple of p and k.
24
Suppose 324 = 26*u - 248. Let t = -33 + 57. Suppose -2*v = v - t. Calculate the lowest common multiple of u and v.
88
What is the least common multiple of 24 and -10*24/16*6/(-5)?
72
Suppose -66*b + 4691 + 1645 = 0. What is the smallest common multiple of 9 and b?
288
Let z be (-14)/10*(-2)/7*-65. Let i = z - -29. Calculate the least common multiple of 30 and i.
30
Let d = -817 - -6519/8. Let o = 3704741/6 - 621957. Let y = -4512 - o. What is the common denominator of d and y?
24
Let x be ((-6)/(-15))/(2/10). Suppose t = -5, -x*t - 18 = -5*z - 3. Calculate the common denominator of ((-22)/(-40))/(-11) + z and -33/2.
20
Find the common denominator of 21/(-81) - -3 - 11/33 and 74/15.
135
Calculate the common denominator of -37/5 and -2 - ((-1490)/450 + 3).
45
Let u(j) = -j**2 + 4*j - 2. Let k be u(3). Let f be 5 + (-8)/4 + 1. Calculate the common denominator of -123/10 and (k - f)/((-513)/360).
190
Let h(i) = 5*i**2 - i. Suppose 0 = -4*y + g + 4*g + 152, 0 = -3*y - 3*g + 87. Calculate the least common multiple of (y + 0)*32/48 and h(-1).
66
Suppose -4*t - 5*f - 22 - 22 = 0, 11 = -t - 3*f. Calculate the common denominator of -67/2 and (4 - 6)*t/6.
6
Let g = -6389 + 95797/15. Find the common denominator of -29/225 and g.
225
Suppose -2*b + 2 = -4. Let h = -26 - -21. Let n(y) = y + 12. What is the least common multiple of b and n(h)?
21
Find the common denominator of -111/50 and ((-609)/490)/((-3)/4).
350
Let p be ((-2)/4)/((-5)/(-20260)). Let f = p - -8201/4. Find the common denominator of f and 7/5.
20
Let q = -9 + 14. Suppose 0 = -h + 2*d - 1, -d - 4 = -4*h + q*h. Let m(i) = -i**3 - i**2 + i - 3. What is the smallest common multiple of m(h) and 6?
12
Suppose 5*j = -4*x + 3, 3*j = 2*x + 3*x - 13. Let c = 1367 - 1223. Calculate the lowest common multiple of c and x.
144
Suppose 5*w + 3*g = -g + 326, -4*g = 4. What is the lowest common multiple of 90 and w?
990
Suppose 0*n - 3*n = -714. Let c = n + -1669/7. Let r = 6/145 - 11757/290. Calculate the common denominator of c and r.
14
Let a = -30 + -4. Find the common denominator of -23/3 and a/6*3/5.
15
Let y(w) = w - 1. Let x(j) = -11*j + 3. Let m(z) = -x(z) - 4*y(z). Let n be m(3). Let d = n + -10. What is the least common multiple of 20 and d?
60
Find the common denominator of ((-27)/(-300))/(((-70)/(-25))/(-7)) and 93/8.
40
Let g = -1796 + 48523/27. Calculate the common denominator of 121/30 and g.
270
Calculate the smallest common multiple of ((-130)/(-39))/(10/36) and (6/(-18)*3)/((-1)/4).
12
Let k = 920709 + -635289031/690. What is the common denominator of k and 27/10?
690
Let s = 11 - 11. Suppose -2*m = -5*g - 55, 2*g = -s*m - m + 5. Suppose 0 = -6*l + 3*l + m. What is the least common multiple of l and 4?
20
Let q(s) = s**3 - 4*s**2 - 13*s + 9. Let b be q(6). Suppose 0 = p - b - 7. What is the smallest common multiple of (-13 + 1)*(-3)/2 and p?
90
Let h be 18/45 - (0 - (-524)/10). What is the common denominator of (34/(-4))/((-91)/h) - -2 and -101/44?
308
Let f(z) = -2*z**3 - 4*z**2 + 6*z + 1. Let p be f(5). Let d = p - -454. Find the common denominator of ((-4)/((-24)/d))/4 and 21/10.
40
Let d(z) = z**3 - 15*z**2 + 42*z + 18. Let q be d(15). Suppose 0 = -32*y + 20*y + q. What is the smallest common multiple of y and 9?
54
Let m = -6 - -33. What is the least common multiple of 21 and m?
189
Calculate the common denominator of -5 + ((-28)/42 - (-458)/102) and 112/18 + -1*2.
153
Suppose 6*u = u - 5*c + 785, c = 2*u - 320. Calculate the smallest common multiple of u and 6.
318
Let s = -76 + 76. Find the common denominator of (-7626)/1312*(-4 + s)/(-2) and 2/5 + 194/(-35).
56
What is the smallest common multiple of 429 and (-68)/442 + -2*119/(-26)?
1287
Find the common denominator of 17/144 and (7 - (-1729)/(-210)) + 4/10.
144
What is the smallest common multiple of 116 and 130/845 - 48/(-26)?
116
Let q be 848/8 + 1 + 1. What is the common denominator of 4 + 4 + (-644)/q and 7/33?
297
Suppose 5 = -t + 19. Let a(i) = 13*i. Let y be a(t). What is the common denominator of (-4 + y/54)*-6 and -7/5?
45
Let b(f) = -f - 27. Let q be b(-9). What is the common denominator of -91/6 and (219/q)/((-40)/(-12))?
60
Calculate the common denominator of (-2*13/4)/((-496)/(-93)) and 49/344.
1376
Let x(o) = 2*o**2 + 7 - o**2 + 6*o + 0*o**2. Let f be x(-9). Suppose -4*k = -2*j - 72, 5*j - 88 + f = -3*k. Calculate the smallest common multiple of k and 10.
90
Let u = -18/853 - -221791/40944. Let m = -29/6 + u. What is the common denominator of -23/10 and m?
80
Let j = 23089/39416 - 7/379. Calculate the common denominator of -7/32 and j.
416
Let y(c) = -c**3 + 9*c**2 + 5*c - 37. Let j(i) = i**2 - i. Calculate the smallest common multiple of j(-3) and y(9).
24
Let h(f) = 13*f - 23. Calculate the least common multiple of h(15) and 20.
860
Find the common denominator of -31/32 and ((-8)/(-128)*-7)/(18/88).
288
Suppose 0*x + 16*x = 2912. Calculate the least common multiple of 10 and x.
910
Let s = -365 + 387. What is the lowest common multiple of 77 and s?
154
Suppose -2*k - 5*a + 7 + 6 = 0, -a = -1. Suppose k = -w + 22. Calculate the lowest common multiple of w and 20.
180
Let r be 8/(-2) - -2 - -12. Suppose -3*g - 7*f = -3*f + r, -f = -4*g + 12. Calculate the common denominator of (-26)/(-65)*(-3)/g and 87/2.
10
Suppose -980 = 14*r - 42*r. Calculate the lowest common multiple of 4 and r.
140
Let z = 5411/4 + -1363. What is the common denominator of -31/286 and z?
572
Calculate the common denominator of (7 - 308/(-99))/(4/(-6)) and -39/46.
138
Find the common denominator of ((12/(-124))/(-3))/(36/(-66)) and -89/8.
744
Let z = 326 - 54. What is the smallest common multiple of z/12 - (-2)/(-3) and 24?
264
What is the least common multiple of 32 and (4 - 28)*20/(-6)?
160
Let a = -16472/95 - -2200/19. Let s = a + 12281/210. Find the common denominator of 83/6 and s.
42
Let z = 7 - 10. Let x(c) = 7*c. Let b be x(z). What is the smallest common multiple of 1 and 20/6 + (-14)/b?
4
Let c be (-7)/36*20765/35. Let h = c + 838/9. What is the common denominator of 12/1*(-88)/(-640) and h?
20
Find the common denominator of (-145)/(-6) + (0 - 1) and 56/8 - 484/52.
78
Suppose 4*u - 67 = -3*n, 4*n - 68 = -6*u + 2*u. Let k be 25/((-1)/(-1) - 0). Calculate the lowest common multiple of u and (-20)/k*25/(-2).
80
Suppose 3*z + 7 = 2*k, 3*z = -z + 2*k - 6. Let q be 8/(-3)*6/(-4). Suppose -q*m + 1 = -11. What is the smallest common multiple of z and m?
3
Suppose 5*w - 14447 - 16808 = 0. Let s be ((-149806)/(-36))/(2/3). Let i = s - w. What is the common denominator of i and 27/2?
12
Suppose -k - 12 = -60. Let y = k - 30. Suppose h = -h + 16. Calculate the smallest common multiple of y and h.
72
Let q = -2 - 0. Calculate the smallest common multiple of -22 + 14 - (-32)/2 and q/(-3) - (-16)/3.
24
Suppose 3*j - 2*u = 17, 29 = 4*j + 2*u + 11. Suppose 0 = -4*v - 5*c + 164, -5*c = v - j*v + 204. What is the least common multiple of v and 14?
322
Let n be 2 - 73146/13112 - (-2)/8. Let r = 12/149 - n. What is the common denominator of r and -101/14?
154
Let x(u) = u**3 + 8*u**2 + 8*u + 6. Let m be x(-7). Find the common denominator of -63/10 and -2 + -1 + (58/4)/m.
10
Let o = -17 + 20. What is the smallest common multiple of 12 and -1 - (-4 - (o - -8))?
84
Calculate the common denominator of ((-80)/800)/(1/(-11)) and -19/105.
210
Let x be (-13)/65 + (-182)/(-10). Suppose 4*h = -2 + x. Calculate the lowest common multiple of h and 33.
132
Suppose 164 + 96 = 5*m. Calculate the least common multiple of 6 and m.
156
Let r = 12 - 9. Suppose -r*u + 4 = -u. Suppose 12 = p + u. Calculate the lowest common multiple of p and 1.
10
Let d(t) = -t**2 - 60*t - 597. Calculate the smallest common multiple of d(-15) and 204.
2652
Let v = 1707 + -3339/2. Let b = 530497/32 - 16581. Calculate the common denominator of v and b.
32
Let f = 74/35 + -7/5. Calculate the common denominator of -58/3 and f.
21
Let f be (19 + 2)/(10/(-10)). Let h = 24 + f. Suppose -h*i + 5 = -13. Calculate the least common multiple of 2 and i.
6
Let g be (-1)/(-1) - (-7876 - -2). Let l | {
"pile_set_name": "DM Mathematics"
} |
t p be (2/1 + -3)/(-1). What is the units digit of (1 + p)*5/10?
1
Suppose -t - 22 = -2*p + 37, t = -2*p + 65. What is the units digit of p?
1
Let s(q) = 11*q. What is the units digit of s(2)?
2
Let n = -39 - -160. What is the hundreds digit of n?
1
Let l(q) = -6*q + 2. Let g be l(-3). Suppose -3*r + 5*r - g = 0. What is the tens digit of r?
1
Let g = 4 + -12. Let s = -4 - g. What is the units digit of s?
4
Let k be (-56)/3*(-36)/24. Let r = k + -9. What is the units digit of r?
9
Suppose 310 = 2*o - 3*q, q = 2*o - 0*q - 302. What is the tens digit of o?
4
Suppose 2*z + 3*b - b - 42 = 0, -75 = -5*z + b. What is the tens digit of z/1 + 2 + -2?
1
Suppose 2*r - 71 = -2*r + 3*b, 2*b = -10. What is the tens digit of r?
1
Suppose -4*x = -2*z - 96, -2*x + 4*z = -0*x - 60. What is the tens digit of x?
2
Suppose 53 = v + 2*m, 4*v + 4*m - 60 - 160 = 0. Suppose -4*z + v = z + d, -3*z = 2*d - 37. What is the tens digit of z?
1
Suppose 5*a = -0*a + 775. Suppose -s + a = 4*s. What is the tens digit of s?
3
Suppose 0 = -3*c + 3, 2*a = -3*c + 17 + 4. Suppose 4 - a = -v. What is the units digit of v?
5
Let k(p) = -105*p**3 - p**2 - p - 1. What is the units digit of k(-1)?
4
Let b(z) = 2*z**2 + 2*z - 3. Let f be b(5). Suppose i + f = 4*i. What is the tens digit of i?
1
Let u(y) = y**3 - y**2 + y + 11. Let c be u(0). Let t be c - 1/(1 + 0). What is the units digit of ((-6)/(-10))/(2/t)?
3
Suppose 2*s + 10 = 0, 2*h = 2*s + 3*s + 29. Let i(x) = -x**3 - 2 + 3 - x**2 + 5*x**h. What is the units digit of i(3)?
0
Let h(d) = -d - 7. Let r be h(-7). Suppose 3*l - 8 - 10 = r. What is the units digit of 3*(-3)/l*-2?
3
Suppose 0 = -5*t + 5*y, -4*t + y = -3 - 0. Let o = 2 - t. Let n = 2 + o. What is the units digit of n?
3
Suppose -4*q = -0*a + a + 13, 4*a - 5*q = 53. What is the units digit of a?
7
Let g be (-9)/(-45) + (-38)/(-10). Let p(o) = o**3 + o**2 + 2*o - 3. Let t be p(g). Suppose 6*a = a + t. What is the units digit of a?
7
Let v(w) = 44*w**3 + w**2 + w - 1. What is the tens digit of v(1)?
4
Suppose 2*m - 15 - 5 = 0. What is the units digit of 4/m + 16/10?
2
What is the units digit of (-2)/(-11) - 2590/(-154)?
7
Suppose -4*r = -c - 7*r + 80, 3*c - 4*r - 305 = 0. Suppose o = -4*o + c. What is the tens digit of o?
1
Let t(d) = -d**3 - 2*d**2 + 2*d + 2. Let b be t(-3). Suppose 29 = b*g + x, 4*g + 1 - 29 = -2*x. What is the units digit of g?
5
Let g = 26 + -30. Let t(u) be the second derivative of -2*u**3/3 - 2*u**2 - u. What is the tens digit of t(g)?
1
Let h(z) = 3*z**3 + 11*z**3 - 4*z**2 - 1 + 3*z**2 + 2*z**2 + z. What is the tens digit of h(1)?
1
Let z(r) be the second derivative of 0 + 1/2*r**3 - 3/4*r**4 + 1/20*r**5 - 13/2*r**2 - 3*r. What is the tens digit of z(9)?
1
Let k = 452 - 269. What is the units digit of k?
3
Let o = -73 + 291. What is the hundreds digit of o?
2
Suppose -4*t = -57 - 43. What is the tens digit of t?
2
Let b(q) = -4*q - 2. Let t(k) = k. Let r be t(-4). What is the tens digit of b(r)?
1
Suppose 0 = -b + 2*t + 33, -4*b + 152 = b + 3*t. Suppose 5*i = 3*v - 94, -2*v - 3*i + b = -19. What is the units digit of v?
8
Let x(r) = -4*r + 0*r - 9*r**2 + 21 - 17. Let v(w) = -8*w**2 - 3*w + 3. Let g(s) = -6*v(s) + 5*x(s). What is the tens digit of g(2)?
1
Let k = -9 - -95. What is the tens digit of k?
8
Suppose 2 = -5*p + 3*u, 4*p + u - 14 = -p. Suppose 0 = w - 5, 0*w = p*o + w + 11. What is the units digit of 0 + 0 + o/(-1)?
8
Let g = -14 + 10. Let s = g - -8. Let n = s + -1. What is the units digit of n?
3
Suppose -2*r = 4*h - 36, -3*r - h + 9 = -40. What is the units digit of r?
6
Let j = 8 - 3. Suppose 2*y = 4*y - q - 51, -126 = -j*y + 2*q. What is the units digit of y?
4
Let x(o) be the first derivative of -o**3/3 - 3*o**2/2 + 2*o - 2. Let t be x(-4). What is the units digit of 5/3 - t/6?
2
Let s be (6/(-10))/((-3)/45). Let z be s*(3 - -1)/2. Suppose -q - 23 = -j, z = 4*j - 2*j + 5*q. What is the units digit of j?
9
Let o(u) be the third derivative of u**6/120 + u**5/20 - u**3/6 - u**2. Let f be o(-2). Suppose 4*s = -12, -7 = l + l + f*s. What is the units digit of l?
1
Let s(p) = 4*p - 4. Let n be (4 + -1)*(-2)/(-3). Let d be 26/8 - n/8. What is the units digit of s(d)?
8
Suppose -3*l = 2*o, -o - 4*l = l + 7. Suppose -4*v + o + 9 = 0. Suppose 0 = -8*d + v*d + 70. What is the tens digit of d?
1
Let b be 1*-3*(-56)/6. Let s(o) = -2*o**2 + 24*o - 20. Let d be s(11). Suppose -4*v + b = -d*v. What is the tens digit of v?
1
Suppose -3*j - 70 = -f, 0 = -4*f - j + 129 + 99. What is the units digit of f?
8
Let m be -1*1 - (-8)/2. Suppose -8 = m*h - 5*h. Suppose -3 = -h*t + 1. What is the units digit of t?
1
Suppose -2*o = -7*o + 3*h + 1506, 0 = o - h - 302. What is the tens digit of o?
0
Let l = -4 - -7. Let x = 4 - l. Suppose 5*w - 4 = x. What is the units digit of w?
1
Let g = -28 + 38. Let t = 27 - 8. Let n = t - g. What is the units digit of n?
9
Let y(w) be the third derivative of w**4/24 - w**3/3 - 2*w**2. Let m be y(4). Suppose -x - 5*l = -5 - m, 0 = -4*x - 4*l + 28. What is the units digit of x?
7
Let g(h) = 25*h**2 + h. Let l be g(-1). Let u be (4 + -2)*-2 + 2. What is the units digit of (3/u)/((-9)/l)?
4
Suppose 2*z - 44 = -3*v, z + 4*z + v - 84 = 0. Let i = -4 + z. What is the units digit of i?
2
What is the units digit of (-164)/3*12/(-8)?
2
Suppose 2*f = 2*t + t + 4, -4*t - 8 = -4*f. Suppose 4*s - 8 = -t. What is the units digit of s?
2
Suppose -4*t + 55 = t. Let w = t + 25. Suppose -3*q - 4*l + w = -q, -2*q = -l - 21. What is the tens digit of q?
1
Let j(x) = x**2 + 7*x - 1. Let q be j(-6). Let a = -5 - q. Suppose 2*d + 3*h = -a, 2*h + 4 = -4. What is the units digit of d?
5
Let b = -13 + 19. Suppose 0 = -3*x + b*x + 9. Let q(p) = -p + 1. What is the units digit of q(x)?
4
Suppose 0 = 6*b - 2*b - 92. Suppose -4*z - 2 = 3*c - b, 4*z = 5*c - 3. What is the units digit of z?
3
Suppose -3*n - 1453 = -3*k - 322, 1883 = 5*k - 3*n. What is the units digit of k?
6
Let g be ((-4)/(-3))/(4/(-18)). Let z = g + 17. What is the tens digit of z?
1
Suppose 4*u - 6 - 6 = 0. Suppose -u*d = -12 - 15. Suppose d*j - 10*j = -1. What is the units digit of j?
1
Let m = -78 + 126. What is the units digit of m?
8
What is the hundreds digit of 130 - (0 + (3 - 4))?
1
Suppose -2*t + 78 = 2*p, 3*p = 6*t - t + 101. Let b = 62 - p. What is the tens digit of b?
2
Let n be 1/1*(6 + -5). Let f = 13 + n. What is the tens digit of f?
1
Suppose -9 = -3*d, d + 0*d - 8 = -q. What is the tens digit of (q - -3)/(-4)*-9?
1
Let z(x) be the second derivative of -1/12*x**4 - x - 2*x**2 + 0 + 4/3*x**3. What is the tens digit of z(3)?
1
Let z(a) = 2*a + 30. What is the tens digit of z(0)?
3
Let x(o) = o**2 + o + 52. What is the units digit of x(0)?
2
Suppose -3*j - 3*v + v = -115, v + 72 = 2*j. Suppose -3*f - 2*b = -b - 29, 3*f - j = -5*b. What is the units digit of f?
9
Suppose -3*d + 15 = 3. Let p be 10/d*4/5. What is the units digit of (-15)/(-12) + p/(-8)?
1
Let t(x) = 8*x**3 + 1. Let h be t(-1). Let u = 8 + h. Suppose -4 + u = -w. What is the units digit of w?
3
Suppose 0 = 3*p + 2*p - 5*l - 1630, 2*p - 4*l - 646 = 0. What is the tens digit of p?
2
Suppose -5*r + 3*r + 6 = 0. Suppose -r*a + 0 = -9. Suppose -a*l = 3 - 21. What is the units digit of l?
6
Suppose 3*o + o = 0, 3*b = o + 138. What is the tens digit of b?
4
Suppose -15 = 3*v - 6*v. Suppose -4*n + 16 + 144 = 0. Suppose o = v*o - n. What is the units digit of o?
0
Let l(m) = 11*m + 3. Let p be l(7). What is the units digit of ((-12)/10)/((-12)/p)?
8
Suppose 4*w = -w + 45. Let m(v) = v - 11. Let r be m(w). Let i = r + 7. What is the units digit of i?
5
Let s = 2 + 18. Suppose -5*h - 3*k + 9 = 24, 4*k = 2*h - s. Suppose 2*q + 5*a + 19 = h, 3*a + 13 + 14 = 4*q. What is the units digit of q?
3
Let v be (7/(-14))/(2/(-28)). Suppose 3*l - v = 5. Suppose 2*n + 2*m + 1 = 7, -l*n + 12 = -m. What is the units digit of n?
3
Let t = 13 - 14. What is the units digit of 8 + t - (9 + -7)?
5
Suppose 4*p + o + 36 = 5*p, 0 = p + 3*o - 36. What is the units digit of p?
6
Let c(r) = -3*r + 3. Let z be c(2). Let m = z + 8. What is the units digit of m?
5
Let x(y) = -4*y + 1. Let z be x(-1). Suppose 0*p - 4*p = 5*v - 41, 2*p + z*v = 23. Let q = p + 2. What is the units digit of q?
1
Let t(v) = -v - v**3 - 3 + 2 + 0*v. Let j be ((-8)/(-16)) | {
"pile_set_name": "DM Mathematics"
} |
(a) -5 (b) i (c) r
c
Suppose -w + 0 = 5. Let b = 0.2 - 0.3. What is the nearest to 1 in b, w, 1?
1
Let g = 0.7 - -3.3. Let r = 8 - 2. Let u = r - 1. What is the nearest to -2/7 in 0.2, u, g?
0.2
Let l = 7.6 + -15. Let d = l + 1.4. Let o = 6.1 + d. Which is the nearest to o? (a) 0.1 (b) 3 (c) 4/7
a
Let x = 292/429 - 2/143. Which is the closest to x? (a) 3/4 (b) -1/6 (c) 1/10
a
Let i = -32 + 30. Which is the nearest to i? (a) -0.4 (b) 3/4 (c) 1
a
Suppose -m - 5 - 12 = 4*s, -12 = 4*s. Let n be ((-1)/6)/(4/12). Suppose 5*c + 2 - 1 = 4*g, -5*c + 3*g = 2. What is the nearest to -2/7 in m, c, n?
n
Let v = 1.5 - 2.5. What is the nearest to -3/5 in 3/4, 1/5, v?
v
Let t be ((-2)/(-4))/((-7)/14 - 5). What is the closest to -1.1 in 0.3, -0.5, t?
-0.5
Let g = -0.1 + 0.1. Suppose -7 - 3 = -5*m. Suppose 3*z - 8 = 3*t + 1, 2*z - 10 = -m*t. What is the nearest to g in -5, 1, z?
1
Let c = 417026/3 - 6697895/48. Let f = -531 - c. Let x = -11/112 + f. What is the nearest to 1/2 in -1/6, x, -4?
-1/6
Let f = 8.65 + -9. Let o = f - -0.05. What is the closest to 0.1 in o, -2, -1?
o
Let k be (7/10 - 1)*-2. Suppose -2*w - 17 = 3*v, -v + 3*w - 1 = -w. What is the closest to -0.1 in v, 0.2, k?
0.2
Suppose -y - 1 = -b, -5*y - 13 - 16 = 3*b. What is the nearest to -1 in y, -3, 4?
-3
Let f = 87 - 83.3. Let l = -4 + f. Let s = 6 - 5.5. Which is the nearest to -2? (a) -3 (b) l (c) s
a
Let u = 0 - -0.4. Let x be ((-6)/(-4))/(6/8). Let n = -1.6 - -1.7. Which is the closest to n? (a) u (b) x (c) -0.3
a
Let s = -0.4 - -2.4. Let i = 4.12 - -0.08. Let y = 4 - i. Which is the closest to 0? (a) y (b) -1 (c) s
a
Let v = 58 - 57. Let w = 227 + -1592/7. What is the nearest to v in w, -2, 2/9?
2/9
Let w = 0.4 - 1.4. Let x = w + 0.9. Let y = -1/185 + 149/185. Which is the closest to 0? (a) 2/15 (b) x (c) y
b
Let k = 4 + -4.07. Let q = k - -0.07. Which is the closest to -1? (a) 1 (b) q (c) -1/7
c
Let j = -26 + 16. Let m = -7 - j. Suppose m*x = -c - 2*x - 9, -x = 3*c - 1. What is the nearest to c in -2, 0.4, 0.5?
0.5
Let y = 93 - 559/6. Which is the nearest to -2? (a) 3 (b) 0 (c) y
c
Let k = -4.9 - -2.9. Let r = 0.1 + -5.1. What is the nearest to k in 0.5, r, 0?
0
Let o(d) = -d**2 - 10*d - 9. Let f be o(-9). Let t = 3 - 2. Which is the closest to t? (a) 0.1 (b) f (c) 0.5
c
Let k be (2/6 + 1)*3. Let t = -8/3 + 7/6. Which is the nearest to 0.1? (a) -1 (b) t (c) k
a
Let g be (-2)/(-10) + 20/900. Which is the closest to 0? (a) 0.2 (b) g (c) -2
a
Let x be ((-1)/(-3))/(1/9). Suppose -2*d = d + x. Let w = 3.3 - 0.3. Which is the closest to d? (a) 2/11 (b) w (c) 2
a
Let t be (-30)/(-45)*2*6/(-28). Which is the nearest to t? (a) 4 (b) -3 (c) 0.2
c
Let j = -34 - -31. Which is the closest to -0.1? (a) -2 (b) -5 (c) j
a
Let w = -211/45 + 24/5. What is the nearest to -1 in -1/7, w, -1?
-1
Let l be -2 - (-2 - 8/(-14)). Let s = 13 + -12. Which is the closest to s? (a) 0.8 (b) l (c) 5
a
Suppose 4*o - 5*g + 21 = 0, 3*g - 10 = -3*o + 8*o. Let f = 0 - 0.4. Let y = f + 0.9. What is the closest to o in y, 2/9, -1/5?
y
Let g = -27/10 + 11/5. Which is the nearest to 1? (a) 4 (b) 1/2 (c) g
b
Let l = 12 + -12.44. Let o = l - 0.06. Which is the closest to 0? (a) -1 (b) o (c) 0.2
c
Let p = 33 - 35. What is the closest to p in 2/5, 5, -4?
-4
Let j be 6/8 + (-105)/108. Which is the closest to -5? (a) j (b) 0.4 (c) 0.2
a
Let j = 1.2 + -1.2. Let f = -0.1 - 0.12. Let l = f + -0.08. Which is the nearest to j? (a) 2/7 (b) l (c) -0.2
c
Let c = -11 - -10.9. Let l = -1 + 0. What is the closest to l in c, -1/5, 1/4?
-1/5
Let j = -7689293657 + 591368196773747/76908. Let x = 523/348 - j. Let f = -16/13 - x. Which is the closest to -2/5? (a) -2 (b) f (c) 2/7
b
Let t = 33/2 + -17. Let i = -1.85 - 0.15. Which is the closest to t? (a) 3/7 (b) -10 (c) i
a
Let b = 0.5 + -0.53. What is the closest to 1 in 0.5, -2, b?
0.5
Let u = -21.9 - -22. Which is the nearest to u? (a) -5 (b) -2 (c) -3
b
Let b = 133 + -138. What is the closest to -1 in 0, 1, b?
0
Let y be (-2)/(-12)*3/(-4). Let t = -12 + 17. What is the closest to -2/5 in t, 2/15, y?
y
Let c = -3/35 + -26/105. What is the closest to 2/5 in c, -5, -2?
c
Let u = 5 - 18. Let j = -11.9 - u. Let t = 2.9 + j. Which is the nearest to -0.1? (a) -3/2 (b) t (c) 2/13
c
Let h = -1.8 + 2.5. Let x = -0.5 + h. Suppose q + 0*q = 0. Which is the nearest to q? (a) 0.3 (b) x (c) 1/4
b
Let o be (1/(-26))/(3/12). Let i be (1/(-2))/(3/4). Which is the nearest to -1? (a) o (b) i (c) 3
b
Let m = 60 + -60. What is the closest to -9 in m, -2/3, 1/4?
-2/3
Let s(y) = -y**2 + y. Let j be s(0). Let x = 0.03 + 0.47. Which is the nearest to -1/4? (a) j (b) -3/2 (c) x
a
Suppose 0 = z + 2*j - 6 - 3, -15 = -z - 5*j. Suppose -2 = 2*i - 0. Let u be 1 + -1 + i/(-5). What is the nearest to -2/3 in 2/7, u, z?
u
Let q = -148 + 148.1. What is the closest to q in -8, 3/4, -2/3?
3/4
Let q = -14 + 15. What is the closest to q in 0.4, 1, -3?
1
Let h = 0.3 - 0.5. Let y = 25/57 - 2/19. Which is the closest to y? (a) 5 (b) -0.4 (c) h
c
Let f = -21449 - -108077/5. Let p = f - 167. Which is the closest to 3? (a) -1/4 (b) p (c) 0
c
Let v = 11 + -19. Let o = v - -13. What is the nearest to 1 in -3/4, o, -0.4?
-0.4
Let d = 17 - 17. Let t = -1.2 + -2.8. Which is the nearest to d? (a) -5 (b) t (c) 0.5
c
Let t be ((-1)/(-2))/(9/(-18)). Let i(n) = -2*n**2 - n**2 + 5*n + 5 - 4*n**2 + n**3. Let w be i(6). Which is the closest to t? (a) w (b) -0.5 (c) -2/7
a
Let x = 1 - 8. Which is the nearest to -0.1? (a) 3 (b) 0.4 (c) x
b
Suppose 0 = 2*d + z + 1, -4*z + 3 = 5*d - 4*d. Let y = -2/15 - -7/15. Which is the nearest to 0? (a) 2/5 (b) y (c) d
b
Let k = -18 + 22. What is the closest to 2/3 in -4, 0.2, k?
0.2
Let r = 1190 - 3701/3. Let b = 44 + r. What is the closest to 2/3 in 0.3, b, 2/11?
b
Let x = 2.7 + 0.3. Let q = -2/65 + 69/130. Which is the closest to q? (a) -0.2 (b) 5 (c) x
a
Let u be (-2)/(-5) + 20/75. What is the nearest to u in 1/2, 5, -2/11?
1/2
Let p be ((-9)/25)/((-48)/80). Which is the closest to p? (a) 5 (b) -0.1 (c) 0
c
Let j = 0.64 + 0.06. Let c = j + -0.8. What is the nearest to c in -0.1, -2, 2?
-0.1
Let n(o) = -o**3 - o**2 + 3*o + 2. Let y be n(-2). Suppose y - 6 = 3*d. Let g = -0.05 - 0.25. Which is the closest to 0.1? (a) d (b) g (c) 3
b
Let r = 5.7 + -6. Let i = 0.2 + r. Let y = 7 + -8. What is the closest to 0.2 in i, y, 2/17?
2/17
Let x be -1*(0 + 0 + -1). Let i = -6.7 - -6.4. What is the nearest to x in 3/8, 5, i?
3/8
Let o = 0.11 - 0.11. Let z = -3.3 + 3. Let g = -3.3 - z. Which is the closest to o? (a) -1/4 (b) -1 (c) g
a
Suppose 0 = -4*v + 5*g + 2, 2*v = v - 5*g - 12. Let d be v/2 - 1/(-2). Let o = -236 + 234. What is the closest to d in 4, 0.5, o?
0.5
Let f = -5 - -7. Let s = 0.2 + -0.4. What is the nearest to f in 0, s, 2?
2
Let o = 4 - 6. Let x = -34 + 101/3. Which is the nearest to 1? (a) x (b) o (c) 1/5
c
Let d = 1.1 + -0.8. Which is the closest to d? (a) -5 (b) -0.2 (c) -3/2
b
Let m = 0.3 - 0.2. Let r = -9291/46 + 202. Let v = r - -79/598. Which is the nearest to m? (a) 0.4 (b) v (c) 0.1
c
Let z = -8/7 - -9/14. What is the nearest to z in 0.3, 2, 17?
0.3
Let p = -0.06 - -2.06. Let n = -68/3 - -22. Which is the nearest to 0? (a) -3 (b) n (c) p
b
Let m = 2.1 - 1.4. Let j = 4.7 - m. Let s = j - 4. What is the nearest to s in 4/7, 1/2, -1/6?
-1/6
Let s = 427/1881 - 1/209. Let h = -0.133 - -0.033. What is the nearest to 0.1 in -0.2, s, h?
s
Let r = -0.3 + 0.2. Let t = 1 + -2. Let l = -4 + 5. What is the nearest to l in t, r, 0.2?
0.2
Let g = -1 - -1.2. Let t = 1327/6 - 761/3. Let h = -32 - t. Which is the nearest to -2? (a) h (b) 0.3 (c) g
c
Let y = -0.3 - -0.3. Let t = 0.25 - 0.15. Let k = 0.6 - 0.1. Which is the nearest to t? (a) -2 (b) k (c) y
c
Let i be 14/(-24) + (-3)/(-4). Let u be (14/21)/((-1)/2). What is the nearest to -0.1 in -0.5, u, i?
i
Let r(d) = -2*d**3 - 3*d**2 - 3*d. Let n be r(-2). Let i be ((-9)/15)/(2/n). Let p = 2 - 2. Which is the nearest to 1? (a) -4 (b) i (c) p
c
Let w = -0.041 - 0.059. What is the closest to w in -1/7, -1, -4?
-1/7
Let r = -0.2 + 0.2. Let d = -0.02 + 1.62. Let n = d - 1.4. Which is the nearest to n? (a) 2 (b) r (c) -5
b
Let u = -469 + 2 | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -70*l**4 + 2*l**3 - 2217*l**2 + 227*l - 161.
-840*l**2 + 12*l - 4434
Find the first derivative of -231*s**2*w - 2*s**2 - s*w**2 - s*w + 282723*w**2 wrt s.
-462*s*w - 4*s - w**2 - w
Find the third derivative of 64*a**4 - 1232*a**3 - 10*a**2 + 376*a + 1 wrt a.
1536*a - 7392
Differentiate -5889*a*j + 8240*a - j**4 + 5 with respect to j.
-5889*a - 4*j**3
What is the derivative of -682*p**3*w - p**3 - 3*p*w - 47*p + 3*w - 539 wrt w?
-682*p**3 - 3*p + 3
What is the derivative of -4*d**2*q**2 + 2313*d**2 + d*q**2 + 19*q**2 + 10*q + 121 wrt d?
-8*d*q**2 + 4626*d + q**2
Find the third derivative of 3879*c**3*k**4 - 2*c**3*k**3 + 5*c**3*k - c**3 + c**2*k**2 - 3*c*k**2 wrt k.
93096*c**3*k - 12*c**3
Find the third derivative of 161712*v**5 - v**4 - 1701066*v**2.
9702720*v**2 - 24*v
What is the derivative of -24*m**2 - 12237*m - 31239?
-48*m - 12237
What is the derivative of 1376104*x + 2340102 wrt x?
1376104
Find the second derivative of 20*t**5 - 2937*t**2 - 86016*t wrt t.
400*t**3 - 5874
Find the second derivative of 129*h**3 + 1106*h**2 - 991220*h wrt h.
774*h + 2212
Find the second derivative of -127248*k**3 - 89060*k wrt k.
-763488*k
What is the third derivative of 277237*c*r**4 - 2921*c*r - c + 19*r**2 wrt r?
6653688*c*r
What is the second derivative of 5*o*r**3 + o*r**2 - o*r - 29*o - r**3 + 839*r**2 - r + 98 wrt r?
30*o*r + 2*o - 6*r + 1678
Differentiate -214520*x**4 + 3*x**3 + 557884.
-858080*x**3 + 9*x**2
Differentiate -64*v**2 - 556*v + 103098 wrt v.
-128*v - 556
Differentiate -195525*g**4 - 258880.
-782100*g**3
Find the first derivative of -1745148*c**2 + 2*c*x**3 + 18*x**3 + 77*x**2 - x + 40 wrt c.
-3490296*c + 2*x**3
What is the third derivative of 41012*z**3 + 39*z**2 + 174 wrt z?
246072
What is the second derivative of -3136695*s**3 - 233491*s - 2?
-18820170*s
What is the second derivative of -3*q**4 + 30*q**3 + 8*q**2 + 29*q - 313?
-36*q**2 + 180*q + 16
Find the second derivative of 209228*p**2 + 3*p + 14965 wrt p.
418456
Differentiate -3*l**2 - 1621*l - 500507.
-6*l - 1621
Find the second derivative of 11*i**5*v + 2*i**5 + 1462*i**3 + 2*i*v - 2*i - 5*v + 895 wrt i.
220*i**3*v + 40*i**3 + 8772*i
What is the third derivative of -88227*l**4 - 73540*l**2?
-2117448*l
What is the third derivative of 59213*n**3 - n**2 + 2*n + 33 wrt n?
355278
What is the first derivative of 3*z**3 + 6123*z**2 - 25441 wrt z?
9*z**2 + 12246*z
What is the first derivative of -8*k**3*w**2 + 24256*k**3 - 199*k*w wrt w?
-16*k**3*w - 199*k
What is the second derivative of -256*b*r**2 - b*r + 6704*b - 122*r**2 + 3*r wrt r?
-512*b - 244
What is the first derivative of 478*h*q**2 - 2*h*q*y + 2*h*y - 3354*q**2 + 3*y wrt h?
478*q**2 - 2*q*y + 2*y
What is the third derivative of 27577*d**4 + d**3 - 2098443*d**2 + 1?
661848*d + 6
Find the third derivative of -44*l**3*s**3 - 155*l**3*s**2 - 222415*l**2*s**2 + s**3 wrt l.
-264*s**3 - 930*s**2
What is the derivative of 1256*j**4 + 46*j**2 - 64980?
5024*j**3 + 92*j
What is the derivative of -l**2*v**2 - 1497*l**2*v + 3*l*v - 23289*v**2 wrt l?
-2*l*v**2 - 2994*l*v + 3*v
Find the second derivative of -3*d**3*t - 151*d**2*t + 30*d**2 + 461*d*t - 20*d wrt d.
-18*d*t - 302*t + 60
Find the third derivative of d**3*w**3 + 1533*d**3*w**2 + 2*d**3 + 46*d*w**3 - 788*w**3 + 11 wrt w.
6*d**3 + 276*d - 4728
What is the third derivative of -17*c**3*d**2*f**2 + 1599*c**3*d**2*f - 7*c**2*d**2 - c**2*d + 15*c**2 + c*d*f**2 - 2*c*f wrt c?
-102*d**2*f**2 + 9594*d**2*f
What is the first derivative of 61006*d**3 + 46577 wrt d?
183018*d**2
What is the third derivative of 4238*t**3 + t**2 + 46*t - 3?
25428
What is the first derivative of v**3 - 13049*v**2 + 12*v - 1722974?
3*v**2 - 26098*v + 12
Find the second derivative of -15653*a**3*n - a**2 + 6*a*n + 31*a + 127*n wrt a.
-93918*a*n - 2
What is the derivative of -11548*b*i*l**2 + 62*b*i*l + 3*b*i + 451*b + 26*i + 1 wrt l?
-23096*b*i*l + 62*b*i
Find the second derivative of -58*n**4 + 75*n**3 - 3*n**2 + 48793*n wrt n.
-696*n**2 + 450*n - 6
What is the third derivative of -212580*h**3 - 2816*h**2 + 21 wrt h?
-1275480
What is the second derivative of -947*h**2*n**2*x + 12*h**2*n*x + 223*h*n**2 - n**2 + 76*n*x wrt h?
-1894*n**2*x + 24*n*x
What is the second derivative of c**4*f + 7965*c**2*f**2 + 66*c*f + 7*c - 19*f**2 wrt c?
12*c**2*f + 15930*f**2
Find the second derivative of -43575*d**5 + 2*d**2 - d + 280889.
-871500*d**3 + 4
Find the third derivative of -29973*d**6 + 19490*d**2 - d.
-3596760*d**3
What is the third derivative of -2099*j**4*z**3 - 100*j**4*z - 2*j**3 - 11*j**2*z**3 + z**3 - 45335*z**2 wrt j?
-50376*j*z**3 - 2400*j*z - 12
Find the second derivative of 381772*j**2*x**3 - 2*j**2*x**2 + 67*j*x**3 - 3973*j*x**2 wrt j.
763544*x**3 - 4*x**2
What is the first derivative of 43834*o**4 + 68534?
175336*o**3
Differentiate 11*b**4*j + 855*b**2*j**3 - 41067*j**3 with respect to b.
44*b**3*j + 1710*b*j**3
Find the second derivative of 2*d*f**3*z + 96*d*f**3 + 5*d*f**2*z + 6*d*f*z - 2*d*f + 88*d*z + 2*d - z wrt f.
12*d*f*z + 576*d*f + 10*d*z
Find the second derivative of 190680*l**2 - 124*l + 15.
381360
Differentiate -r**3 - 33982*r**2 + r - 831185 wrt r.
-3*r**2 - 67964*r + 1
Differentiate -607*j*k*n**3 + 17*j*k - 5*j - 2641*k**2*n - 160*k**2 - 1 wrt n.
-1821*j*k*n**2 - 2641*k**2
What is the derivative of 5079*j**3*o - j**2 + 895*o - 31 wrt j?
15237*j**2*o - 2*j
What is the second derivative of 5*b**5*v + 37921*b**2*v**3 + 15*b*v**3 - 910*v**3 wrt b?
100*b**3*v + 75842*v**3
Differentiate -h**2*k**4 + 39341*h**2*k + 1664504*h**2 with respect to k.
-4*h**2*k**3 + 39341*h**2
What is the second derivative of 16955*a**3 + 7*a**2 + 91525*a?
101730*a + 14
What is the second derivative of 3*o**5 - 31618*o**2 - 5*o - 48928 wrt o?
60*o**3 - 63236
What is the derivative of 9633*o**3*r + 3*o**3 - 312*o - r**4 + 4*r**3 - 31 wrt r?
9633*o**3 - 4*r**3 + 12*r**2
What is the first derivative of -2826*h**3*w + 15*h**2*w**2 + 44058*w**2 wrt h?
-8478*h**2*w + 30*h*w**2
Find the third derivative of 231178*w**5 + 7454*w**2 - 2*w - 1.
13870680*w**2
What is the second derivative of -14*j*t**2 - 16*j*t + 88*t**2 + 16*t + 2 wrt t?
-28*j + 176
What is the second derivative of 2*z**5 - 395033*z**2 + 191*z + 559 wrt z?
40*z**3 - 790066
Find the third derivative of -121695*l**5 + 3479*l**2 + 7*l + 3.
-7301700*l**2
What is the first derivative of -2270*i**3 - 7*i**2 - 30955?
-6810*i**2 - 14*i
Find the second derivative of 364104*x**4 + 3249*x + 10 wrt x.
4369248*x**2
Find the second derivative of 83225*j**2 + 16100*j wrt j.
166450
Differentiate 2*o**3 - 3609*o**2*p - 75*o*p - 34730*p + 7 wrt o.
6*o**2 - 7218*o*p - 75*p
Find the third derivative of -4*q**6 - 21*q**5 - 11*q**4 + 349*q**2 - 2*q + 11.
-480*q**3 - 1260*q**2 - 264*q
What is the first derivative of 3*a**2 + 4*a*g*u + 71*a*g - 76645*g*u + 2*g + 2*u wrt a?
6*a + 4*g*u + 71*g
What is the derivative of 255550*n**4 + 131310?
1022200*n**3
What is the first derivative of -36578*q**4 + 40701 wrt q?
-146312*q**3
Find the third derivative of 1296589*b**5 - 1363515*b**2 wrt b.
77795340*b**2
Find the second derivative of -269*l*q**2*t + 164*l*q*t + 2*l*q + q**2*t + 282*q**2 - 19*q*t + 4*q - 9*t wrt q.
-538*l*t + 2*t + 564
What is the second derivative of 18*h**4*m + 35*h**3*m + 47*h**3 + 4*h*m - 151*h + m - 1 wrt h?
216*h**2*m + 210*h*m + 282*h
Find the second derivative of q**5 + 34357*q**4 + 5*q**3 + 1312740*q.
20*q**3 + 412284*q**2 + 30*q
Find the third derivative of -43*f**2*o**3 - 8*f**2*o**2 - 2*f**2*o + 6118*f*o + 1191*o**3 wrt o.
-258*f**2 + 7146
What is the derivative of -254*c**3*g - 27394*c**3 - 283*c*g - 4 wrt g?
-254*c**3 - 283*c
Find the first derivative of 2073*c**2*d*q + 2*c**2*d - 66*c**2*q - 190*c**2 - 125*c*d - c + 3*q**2 + 2 wrt q.
2073*c**2*d - 66*c**2 + 6*q
What is the second derivative of 13*l**3*x + 52*l**3 + 3*l**2*x**2 + 5*l**2*x + 5075*l*x**2 + 5*l*x + x - 2 wrt l?
78*l*x + 312*l + 6*x**2 + 10*x
Find the third derivative of 4*t**4 + 18746*t**3 - t**2 + t + 7596.
96*t + 112476
What is the derivative of 25856*d**3*h*n*y + d**3*h*n + d**3*n*y - d**3*y + 38*d*y + n*y - 4*n + y wrt h?
25856*d**3*n*y + d**3*n
Find the third derivative of -4*b*d*i**3 - b*d*i**2 + 5*b*d*i*x + 4*b*i**3*x - 176*b*i**3 + 11*b*i**2*x - 2*b*i + b - 2*i**3 | {
"pile_set_name": "DM Mathematics"
} |
5) - (-16 + 1)?
25
Evaluate (2941 - 2960) + (0 + 94 - 0).
75
Calculate (53 - 31) + (-209 - -114).
-73
Calculate 16 + -21 + 14 - (-1 + (-5 - -17)).
-2
Evaluate (18 + -32 - (-30 + 9)) + -68.
-61
What is 0 - (-10 - (9 - 14)) - (-48 - -2)?
51
What is the value of -53 + 157 - 18 - 25?
61
What is -1 - 3 - (-25 - 16 - -117)?
-80
What is (44 - (-18 + 79)) + 50 + -1 + -4?
28
41 - 21 - (70 + -10)
-40
What is the value of 1 + -12 - (-3 + 1)?
-9
Calculate 48 + -55 + -106 + 54.
-59
What is the value of 28 - 7 - (39 - (69 + -14))?
37
What is the value of (0 + 4 - (37 + 0 + 1)) + 1586 + -1598?
-46
Evaluate -3 - -1 - 126 - (-69 - -19 - -33).
-111
What is the value of 20 + -48 + -2 - -54?
24
Evaluate -106 - (-75 + 93 - 65).
-59
Calculate 12 - ((1 - -2) + 3 + -24 + 33).
-3
-6 - (-5 + (18 - 38) + 27)
-8
-25 + (-38 - (21 + -55)) + -35
-64
What is 12 + -2 - ((4 - -29) + 6)?
-29
Evaluate (0 - 21) + 12 + 19 + -42.
-32
What is -125 + 216 + (-127 - -11)?
-25
-155 + 175 - (9 + -29 - 5)
45
What is the value of -30 + (19 - 13) + 9 + 13?
-2
Evaluate 0 + -62 - (29 + 41 + (-48 - 32)).
-52
What is 1 + -64 - (-6336 + 6324)?
-51
What is 44 - (70 - 42) - -43?
59
Evaluate (-4 - -1 - -4) + 3 + 42 + -20.
26
What is (14 - (19 + -1 + -13) - -23) + (-2 - 0)?
30
What is -14 - ((11 - (0 + 18)) + -5)?
-2
-9 + (-39 - -43 - (-37 + 34 - (5 + 1)))
4
What is the value of 6084 + -6102 + (0 + 2 - -115) + 1?
100
What is -55 + 100 + -57 - (34 + 3)?
-49
What is the value of -27 + (-124 - (-190 + 139))?
-100
Calculate -30078 + 30070 - ((0 + 0 - -2) + -66 + -2).
58
Calculate -1 - -1 - -49 - (7 + (37 - 11 - 24)).
40
What is the value of -3 + -2 + 7 + -5 + (63 - -7 - 65)?
2
Calculate 9 + -44 + 19 - 9 - (1 + 10).
-36
Calculate (8 - (10 - (6 + 6))) + -26.
-16
What is -14 + 1 + 874 + -859?
2
Calculate 3415 + -3392 + (-1 - -7).
29
Evaluate 42 + (-23 - -22) + -1 + 9.
49
What is (10 - (6 + -17 + 1 + (1 - 4))) + 3?
26
What is the value of (-3 - -49) + (-1068 - -987)?
-35
Evaluate -172 + 166 + (-20 + 7 - -1).
-18
Calculate 7 + 1 + (6 - (-11 + 9)).
16
Evaluate 3 - (-6 + -57) - (104 - 109).
71
Calculate 16 + 0 + 35 + -152 + 105.
4
What is the value of -8 + 49 + -2 + (-12 - 2) + 0 + 8?
33
What is (38 - 27) + 16 - (-4 + -7)?
38
Evaluate -26 + -14 + 20 + 94 + -26.
48
Evaluate (-1 - -12) + -6 + (0 - 0) - (2 + -42).
45
8 + 1 + 78 + (-26 - (-38 - -4)) + -7
88
Evaluate (7 - (-32 - 11)) + -54.
-4
0 + 0 + 2 + -74 - (400 + -383)
-89
What is 3 - (-20 - -35) - 36 - 26?
-74
What is 33 + -8 - (-22 - (-29 + 3))?
21
4 + (3 - 4) - (18 - (-15 + 15)) - -152
137
What is the value of (8 + -4 - 15 - -5) + 86 + -14 - -6?
72
Evaluate 253 + 101 + -271 + -38 + 0.
45
What is 0 + -12 + (-2322 - -2345)?
11
Evaluate 33 + (91 - 38 - (29 - 16)).
73
What is the value of -12 + -89 + 73 - -80?
52
What is 13 + (-2 - (-12 + 18 + 7)) - 21?
-23
Evaluate 14 - 1 - (-2655 + 2719).
-51
What is the value of -3 + (-54 - -27) + 7?
-23
What is -11903 + 11787 - (-1 + -118)?
3
Calculate (9 - 19) + 30 - (123 + -37).
-66
(-20 - (2 - 11)) + (27 - 44)
-28
Calculate 94 - (47 + 66 + 67).
-86
Calculate 53 - ((1 - 5) + (-261 - -283)).
35
What is -32 - -35 - (0 + 0 - (-7 - -13 - 74))?
-65
Evaluate (-3 - -16 - (4 - 3)) + (53 - -1) + 12.
78
3837 - 3930 - (0 - 114)
21
Evaluate -5 + 19 + 6 + -4 - 40 - (-14 + -2).
-8
Calculate -20 + -43 + 60 - -73.
70
53 + -3 + -126 - -61
-15
Evaluate -103 - ((-22 + 2 - -1) + 2469 + -2469).
-84
Evaluate (1 + -21 - (-17 - (13 - 20))) + 1 + 2.
-7
What is the value of 2 - 47 - 1 - (14 + (11 - 24))?
-47
Calculate (3 - 13) + (-16 + (1 - 11) + 3 - 13).
-46
What is 46 + -2 + 1 + (-65 - -21 - -45)?
46
Calculate -22 + (15 - 14) + 10 + 0 + -24.
-35
What is the value of -23 + 1 - (7 - (-5 + 21)) - -7?
-6
Evaluate 8 - 2 - ((82 + -23 - 23) + -25).
-5
What is the value of 65 + (37 - 85) + (-12 - (-6 - -1))?
10
What is the value of 4 + -12 + 2 - (12 + -34 + 88)?
-72
What is (-1 - -21) + -8 - (-28 + -41)?
81
Calculate -12 + 12 + -12 + 18 - -53.
59
What is -32 + -1 + (25 + -28 - (2 - 13))?
-25
Evaluate 344 + -423 - (14 + -86).
-7
What is (-26 + 36 - 41) + 62?
31
-91 - (6 + -24 + 32 + -17)
-88
What is the value of 2 + (-73 - -43) - -46?
18
What is the value of 2 + (3 - -5) + (-27 - (-2 - -21) - -15)?
-21
What is 13 - (-17 - (-26 + (-26 - -106)))?
84
Evaluate 305 + 67 - 260 - (-1 - -34).
79
What is the value of -31 - (-63 + 54) - (-11 - -9 - -23)?
-43
What is the value of -10 + (5 - 1) - (-17 - -16) - 10?
-15
What is the value of 495 - 494 - (-3 + 19)?
-15
110 + -168 - ((6 - 0 - (4 + 2)) + -10)
-48
Calculate -30 + 11 + 17 - (-10 - -6).
2
Calculate 1 - (-2 + -1) - (8 + (57 - (-47 + 93))).
-15
Calculate 24 + 8 + -98 + 56.
-10
1 + -28 + (208 - 315) - (1 - -2)
-137
What is the value of -4 - (11 + 9 + 3 + -29) - (3 + -36)?
35
What is the value of 3 + 2 + (18 - (12 + 22) - -40)?
29
What is the value of 38 - ((74 - 43) + -1 + -17)?
25
What is 81 + 4 + -19 + -63?
3
Evaluate 9 + 4 + 0 + -3 + (12 - (77 + 3)).
-58
What is the value of -81 - (5 + -21 + 42 + -12)?
-95
What is 66 + 83 + -117 - -78?
110
Calculate 1437 + -1457 + 2 + -15 + 31.
-2
Calculate -13 + -2 + (-16 - (-37 + 114)) + (1 - -8).
-99
What is 13 - (390 + -405 + -29 + 3)?
54
Calculate -52 - ((71 - 43) + -63).
-17
What is (42 - (30 - 0)) + (6 - -11)?
29
What is the value of 2 + -4 + -52 + 4 - (-16 - (3 - 10))?
-41
Evaluate (5 - 1 - -5) + (43 - 36 - 27).
-11
What is the value of (0 - 18) + (16 - -19) + 18 + -36?
-1
Evaluate (6 + -20 - (2 + -43) - 11) + -106.
-90
Evaluate (-1 - 6) + (19 + -3 + -41 - 32).
-64
What is the value of -2 + -27 - (89 - 211 - -78)?
15
0 + -9 + 2 - ((76 - 147) + -57)
121
Evaluate -26 + 86 + -120 + 5.
-55
Evaluate -15 + (28 - 7) - (-2 - (2 + -7)).
3
(-18 - ((-41 - -27) + -14)) + 44
54
What is -65 + (58 - -25) + -26?
-8
Calculate -1 + 80 - -31 - 57.
53
What is -5 + (31 - 9) - 31 - 23?
-37
(0 - 11 - (-95 + 38 + 29)) + 8
25
What is (116 - 2) + (-51 - (-53 + 1 - -14))?
101
Calculate 97 + -100 + (-9 - -5 - -3) + 8 + -70.
-66
What is 11 + 70 - ((-15 + 36 - 18) + -19)?
97
(-4 - (3 - 2 - 3)) + (-10 + 5 - -61)
54
What is -10 - ((6 - (14 + 0)) + -14 + 147 - 6)?
-129
Calculate (-119 - -133) + 5 + 25.
44
Evaluate 11 + -2 - (80 + -115 + (10 - 18) + 13).
39
Calculate -23 + (1 - (-112 + 109 - (-1 + -6))).
-26
What is the value of -25 + (-1 - 23) + 10 + 6?
-33
What is -101 - (16 + -94) - 29?
-52
What is the value of (-1 - 12) + 244 + -250 - -26?
7
Calculate -57 - (26 + -33 + 15 - 14).
-51
What is the value of 52 + -4 + -68 - -26?
6
What is the value of 0 - 14 - (-1197 - -1145)?
38
Calculate 8 + (107 - 138) + (0 - -1) + (33 - 34).
-23
Evaluate -9 - (29 + (-42 - -24 - 23)) - (135 - -2).
-134
What is the value of 74 + 20 + (-16 - (10 + 11 + 1))?
56
Calculate (1 - 7 - -5 - 5) + (15 - -66).
75
Evaluate -71 + -14 + (-29 - -20).
-94
Evaluate -6 + (2 - 3 - -8) + -51 + (27 - 25).
-48
Calculate -59 - (-15 + (-10 - (0 - -9 - 40)) - 5).
-60
What is (-3 - (-5 - -13) - (-1 + -19)) + 33?
42
Evaluate -235 + -192 + 451 - (-7 - (1 - 2)).
30
Calculate (-27 + -33 + 27 - -17) + 41.
25
What is 57 - 94 - (-7 - 0 - -9)?
-39
31 + -64 + -1 + 54
20
What is -144 + (30 - 10) + 18 + -18?
-124
What is the value of -6 + -47 - (0 - 4 - (-1 + 10))?
-40
Calculate -6 + 1 - (-6170 - -6182 - (67 + 0 + -1)).
49
4 - (22 - (-14 + 15)) - (2 + -38)
19
What is 39 + (-8 + -55 - 26)?
-50
What is the value of -322 + 225 - (1 - -11 - (-6 + 40))?
-75
What is 71 + -27 + -57 - -103?
90
What is the value of 4239 + -4363 + (18 - (-3 + 2)) + 22?
-83
Calculate (147 - -70) + -83 - (-3 + -1 - 9).
147
What is the value of 101 - (20 + -5 + -15 + 17 + -3)?
87
Calculate (9 - -38) + 21 + -3 + (-36 - -14).
43
Evaluate -15 + (41 - 12 - 67).
-53
Calculate (1 - -20) + 43 + -10 + -31.
23
Evaluate (23 - -40) + -227 + 126.
-38
Evaluate (5 + -2 - (2 - -7)) + 76 + -14.
56
Calculate 4722 + -4739 - (-16 - 5 - (1 - 2)).
3
Calculate (-5 - (9 - (8 + -8))) + -72 - 20.
-106
What is the value of (-36 - -49) + (2 - 1) + (7 - (-10 - -18))?
13
Evaluate (-183 - -183) + 3 + -5 + -15.
-17
Evaluate 19 - (3 + (2 + 2 - (-23 - -33))).
22
Evaluate 15 + -7 + 1 + (-83 - -80) + 22.
28
What is the value of 10 - (-18 + 23 + 11) - 2 - 34?
-42
Calculate (390 - 422) + 10 + 1 + (0 - 14).
-35
Calculate -12 + 61 + -9 - (-7 + 8).
39
What is the value of (-10 - 2) + (31 - (151 + -28 - -33)) - -6?
- | {
"pile_set_name": "DM Mathematics"
} |
.1?
0.1
Let f = -1/20 + -1/20. Let w = 3 - 1. What is the nearest to w in f, 2, 1/5?
2
Let p = 61 + -306/5. Let h = 5 + -17/4. Let x = 105 + -104.6. Which is the closest to -1? (a) x (b) h (c) p
c
Let y = 16.5 + -16. Which is the nearest to 3? (a) 5 (b) y (c) 3/5
a
Let w be (-1 + (-2)/((-4)/(-1)))/3. What is the nearest to w in -2/9, -4, 5?
-2/9
Let l be (-20)/8*(-8)/50. Which is the closest to -1? (a) -3 (b) 2/3 (c) l
c
Let q = 4 - 3. Suppose m - 2 = q. Suppose 13 = p - 4*i, -p + 5 = -5*i - 10. Which is the nearest to 1? (a) 2/19 (b) m (c) p
a
Suppose 2 = -t + 2*t. Let a be 0/t + (-1)/(-4). Let f = 0.16 - 2.16. What is the closest to -0.1 in f, a, 1?
a
Let h = 7/2 + -25/6. Let l = -0.1 - -0.1. Let n = 0.2 - l. Which is the nearest to 0.1? (a) n (b) h (c) 0.3
a
Let j be (-18)/(-63) - (-16)/(-7). What is the closest to 0.1 in -3, j, -4/3?
-4/3
Suppose -3 - 12 = -3*s. Which is the closest to -1? (a) 0.5 (b) -2/7 (c) s
b
Let j = 0.6 - 0.4. Let z = -0.1 - j. Let t = 0.8 + z. What is the nearest to -1 in t, -3, -5?
t
Let y = 72 - 10. Let j = 433/7 - y. What is the closest to -0.1 in 4, j, 2?
j
Suppose 2*r + 2 = 0, 5*f - r - 9 - 17 = 0. What is the closest to -2 in -2/5, f, 2?
-2/5
Suppose -4*n + 0*y + y - 22 = 0, 0 = -3*n - 3*y - 9. What is the closest to 0.2 in n, 0.2, 1?
0.2
Let d = -2 + 2. Let n = 0.5 + d. Let v = -6.3 - -6. Which is the closest to -1? (a) 0.1 (b) v (c) n
b
Let j = -0.87 + 0.07. Let q = j - -6.8. Let z = 1 - q. Which is the closest to 1? (a) -4 (b) 3 (c) z
b
Let m = 216.14 + -214. Let q = 0.14 - m. Which is the closest to 0.1? (a) 5 (b) q (c) -4
b
Let v = -13/63 - 1/63. Let x(j) = j + 3. Let n be x(0). What is the nearest to -1 in 0, v, n?
v
Let w(l) be the second derivative of -l**5 + l**4/6 - 2*l**3/3 + l**2 - 4*l. Let u be w(2). Let f = -1424/9 - u. What is the nearest to -0.2 in f, 0.1, -2?
f
Suppose -4*c + 8 = 4*d, 2*c - 5*d + 0*d = -31. Let y be c/2*8/(-6). Let g be 1*(y - (-22)/(-12)). What is the nearest to 2/3 in 1, 0, g?
1
Let f = -57 - -56.8. Which is the nearest to f? (a) 5 (b) 0 (c) -1
b
Let m = 0.1 - -0.1. Let c = -0.3 - -0.6. What is the nearest to -2/5 in c, -5, m?
m
Let k = 0.8 - 0.4. Let l = -0.129 + 0.029. What is the nearest to l in 3, k, -3?
k
Let w = -0.65 - -0.75. What is the closest to w in -5/4, -3, -2/5?
-2/5
Let v = 10 + -19/2. Let r = 30 - 29.9. Which is the nearest to r? (a) 0 (b) 2 (c) v
a
Let o be 6/(-20)*12/(-27). What is the closest to o in -0.5, 2/15, -2?
2/15
Let j = -19 + 29. Let o = j - 9.9. What is the closest to o in 4/7, -0.1, -2/9?
-0.1
Let r = -3.96 - 0.04. Let g = r - -4.2. Let o = 2.5 + -0.5. Which is the nearest to -1? (a) o (b) g (c) 2/5
b
Let w = 0.9 - 1. Let b = 313/9 - 35. Let n = -0.8 + -3.2. What is the closest to w in b, n, -3?
b
Let l = -11.07 + 11. Let f = 1.87 + l. Let g = 2 - f. What is the nearest to 1/4 in -0.1, 3, g?
g
Let s = -1.2 - -1.7. Which is the nearest to -1? (a) s (b) -2 (c) 0.1
b
Let h = 60.1 + -60. Which is the closest to h? (a) 11 (b) 1/4 (c) 3
b
Let c = -29 - -30.3. Let a = c - 2.2. Let n = 1 + a. What is the nearest to n in 0.2, 1, -5?
0.2
Let t = 81411 - 17014933/209. Let h = t + -4/209. What is the closest to -2 in 1/10, 3, h?
h
Let f = 0.68 - 0.38. Which is the nearest to -0.1? (a) f (b) 0.4 (c) 1
a
Let l = 32255/8 + -4043. Let k = l - -11. Let p = -1/8 + k. Which is the nearest to p? (a) 0 (b) -2 (c) 2/13
a
Let h = 1.5 + -1. Let x = -24 - -49/2. Which is the closest to x? (a) 0 (b) -2 (c) h
c
Let l be (9/6 + 0)*28/210. Which is the nearest to 0? (a) -0.5 (b) l (c) -0.1
c
Let t = -8 + 6. Let d = -4.4 - -4. What is the nearest to t in d, 5, 4?
d
Let s = -7 - -11. Let q = 2 + 2. Let f = 4.5 - q. What is the closest to 2/5 in f, s, -1?
f
Let i = 7 + -6. Which is the nearest to i? (a) 2/3 (b) 4 (c) -3
a
Suppose 0 = 8*t - 7*t - 2. What is the closest to 1/4 in -2, 5, t?
t
Let z be (2/(-24))/((-6)/(-16)). Which is the nearest to z? (a) 0.5 (b) 3/2 (c) 0.1
c
Let m = 5 - 2. Let s be (-323)/(-51) - (0 + 6). What is the closest to s in 4/3, -1/2, m?
-1/2
Let n = 3.04 - 0.04. Let s = 0.47 + -0.5. Let p = s + -0.07. Which is the nearest to p? (a) -4 (b) n (c) -0.5
c
Let t = 5.2 + -0.2. What is the closest to -2/7 in t, 1, -4?
1
Let y = 4/13 + -33/65. Let w be (-1396)/(-10) + -9 + 5. Let z = w + -136. Which is the closest to 1? (a) z (b) y (c) 0.5
c
Let a = -3 - -2.5. Let d = 4 + 0. What is the nearest to 0.1 in -1/6, a, d?
-1/6
Let p = 0.47 - 0.77. Which is the closest to -0.1? (a) 1 (b) -0.4 (c) p
c
Let p be (-51)/21 - 1/(35/(-15)). What is the closest to 0.7 in p, 2/7, -1?
2/7
Let l = -0.03 - -0.33. Let d = -12 + 8. What is the closest to 2/3 in d, 1, l?
1
Let y = -5 - -9. Let s = -34.9 - -35. Which is the closest to s? (a) 0.3 (b) 0.2 (c) y
b
Let u = -51 - -149/3. Let j = 6 + -1. Let y = 947/7 - 135. What is the closest to y in j, u, 3?
u
Let s = 148/5 - 30. What is the nearest to 1 in s, -2, 2?
2
Suppose -2*w - 2*w + 4 = 0. Let m = -8.21 - -0.21. Let u = m + 3. Which is the closest to w? (a) -0.3 (b) u (c) 2
c
Let m = -377/8 - -47. What is the nearest to 26 in -5, -0.4, m?
m
Let f = 20 - 23. What is the nearest to 2/3 in -1, f, -2?
-1
Let g = -4 + 3. Let v = 0 + g. Which is the closest to v? (a) 0.3 (b) 5 (c) -3
a
Let q = 113/30 + -25/6. What is the closest to -0.1 in -5, q, 3?
q
Let x be (-4)/(-6)*2*3. Let v = 0.5 - 0.1. What is the nearest to -1/4 in x, v, -0.2?
-0.2
Let t be 28/(-18)*((-5)/(-35) - 1). Let z be (-1)/12*(1 - 11). Which is the nearest to -2? (a) t (b) z (c) -0.1
c
Let u be (-8)/36 - 1/(-45). Which is the nearest to -2/17? (a) 3/8 (b) u (c) -1
b
Let s = -2 - -2. Let g = -2.3 - -1.3. What is the nearest to s in g, -0.4, 1/4?
1/4
Let r = 0.5 + -0.1. Let m = 0.0024 + 0.0976. Let q = 2 + 0. Which is the closest to m? (a) 0 (b) r (c) q
a
Let f be (-2)/(-9) - ((-238)/9)/7. Which is the closest to 1? (a) -3/5 (b) f (c) -5
a
Let m be 2/(-12)*(-36)/(-24). Let g = 2 - 2. What is the nearest to m in -4, 3/7, g?
g
Let j = 19.1 + -29.2. Let w = j + 10. Let l = -0.1 - -0.1. What is the nearest to l in 3, w, 2/11?
w
Let y = -22 - -21. Let i(v) = -v**3 + 7*v**2 + 8*v + 1. Let w be i(8). Let o = w - 1. What is the nearest to -1/4 in y, o, -1/5?
-1/5
Let b = -40 - -161/4. Let t = 9 + -9.16. Let w = t + 1.16. What is the nearest to w in b, 5, 2/11?
b
Let r = 0.15 + -1.15. Let w = -0.17 + 0.07. What is the closest to w in -2/5, r, -0.1?
-0.1
Let h = 0.59 - 0.89. Let y(w) = -2*w - 5. Let j be y(-4). Which is the nearest to -1? (a) -2 (b) h (c) j
b
Let u be 1*((-126)/4 - 0). Suppose -2*t - 128 = 2*t. Let v = u - t. Which is the nearest to -1/4? (a) 4/5 (b) v (c) 1
b
Let a = 3 - 2.6. Let m = -9 - -11. Suppose 3*i + 2 = m*i. What is the closest to i in 2/3, 1, a?
a
Let q = -5 - -9. Suppose 5*z = 9*z. Let u be ((-2)/(-4))/(-1 + 0). What is the nearest to z in q, u, -0.1?
-0.1
Let q be -3 - 45/3 - -3. Let d = q + 10. Let w be (1/2)/(d/(-4)). Which is the closest to -0.3? (a) -1/3 (b) w (c) -4
a
Let g = -1.2 + 1.3. Which is the nearest to g? (a) 1/3 (b) 1 (c) 4
a
Let d = 0.198 + 0.002. What is the nearest to 0.1 in d, -0.3, 2/15?
2/15
Let p = 0.5 - 0.2. Let s = -0.38 + 0.88. Which is the closest to 1/3? (a) s (b) p (c) -5
b
Let v = 10 - 15. Let i = 5.2 + v. Which is the nearest to -1/3? (a) -3 (b) -2 (c) i
c
Let n be -1 + (4/14 - (-6)/21). Which is the nearest to n? (a) -0.2 (b) -2 (c) 2/3
a
Let o be (3/20)/(34/85). What is the nearest to -2/5 in 0.1, o, 1/3?
0.1
Let y = -0.8 + 0.6. Which is the closest to y? (a) 4 (b) -1/5 (c) -5
b
Let v be ((-30)/8)/(3/(-12)). Let y be 5/(v/(-9)) + -2. What is the nearest to -0.1 in -1/8, y, 2/7?
-1/8
Let p(i) = -i**3 + 2*i**2 + i + 1. Let m be p(4). Let z = m + 28. Let y be 0*((-6)/(-4) - 1). What is the nearest to y in z, -5, -0.5?
-0.5
Let b(j) = -j**3 - 5*j**2 - 2*j - 6. Let q be b(-5). Suppose -q*x = -8*x. Let a be 0 - (-2 + 1 + x). What is the closest to a in 2/15, -0.5, 1/7?
1/7
Let u = 0.09 - -0.71. Let f = 14.2 + u. Let q = f + -11. Which is the nearest to 2/5? (a) q (b) 5 (c) 0.2
c
Let z = 6 - 11.5. Let s = 5 + z. Which is the nearest to 0.1? (a) 2 (b) s (c) -1
b
Let n = -246/5 - -4192/85. Which is the cl | {
"pile_set_name": "DM Mathematics"
} |
*(-1/14))**(3/8)*s**(-11)*s**(-3/16) assuming s is positive.
s**(-157/14)
Simplify j**4*j**(-1/3)*j*j**(1/2)/j*j*j**(2/7)*j assuming j is positive.
j**(271/42)
Simplify (s**(-2/11)*s)**39*((s*s/s**1*s*s)/s)/(s**(1/3)*s) assuming s is positive.
s**(1075/33)
Simplify (w*w**(-5/4))**50*w**(-2/21)/(w/(w*w*w**(-6/13))) assuming w is positive.
w**(-6583/546)
Simplify (p/p**(-4/3)*p)**(-11/3)/(p**1/p**(-14)) assuming p is positive.
p**(-245/9)
Simplify (j*j**30*j*j**(1/7))**(-2/127) assuming j is positive.
j**(-450/889)
Simplify (((v*v/(v**(-8)*v))/v)/v*v*v**(1/7)/v*v**(-2/5)*v*v**(-10))**18 assuming v is positive.
v**(-1422/35)
Simplify ((a**8)**(-25))**(18/7) assuming a is positive.
a**(-3600/7)
Simplify (t*t/((t*t*t**(-6)/t)/t)*t*t**24)/(t/(t*t**(4/3))*t*t/(t*t**13)) assuming t is positive.
t**(139/3)
Simplify (j**(-3/16)*j**(-9)*j*j)/(j**4/(j*j**(1/19))) assuming j is positive.
j**(-3081/304)
Simplify v*v*v*v**(-23)*v*v/((v**(2/41)*v)/v)*v*(v*v/(v*(v/((v/(v**(-2)/v))/v*v))/v))**(2/25) assuming v is positive.
v**(-3413/205)
Simplify ((t/t**(2/19))**(-30))**(-7) assuming t is positive.
t**(3570/19)
Simplify (z**7*z*z**(-1/17)*z)/((z**(2/25)*z)/z**(-6)) assuming z is positive.
z**(791/425)
Simplify (s/s**(1/17))**49*(s*s*s**14)**(1/19) assuming s is positive.
s**(15168/323)
Simplify ((g**(-1/2))**5/(g**7*g**(-4/9)/g))**(3/4) assuming g is positive.
g**(-145/24)
Simplify (x**(3/2)/(x/x**(-20/7)))/((x*x**(-10)*x)/(x**(-2)*x)) assuming x is positive.
x**(65/14)
Simplify (r**(17/4)*r*r)/r**(-11)*(r**5*r)/(r*r/r**(-3/5)) assuming r is positive.
r**(413/20)
Simplify ((c**(-2/59)/c)/c)**(1/16)*c**(-2/47)*c**(-1/8) assuming c is positive.
c**(-6537/22184)
Simplify ((k*k**(2/19))/(k/(((k/(k*k**(1/2)))/k*k)/k))*k**(2/5)/k*k**(1/6))**(-1/49) assuming k is positive.
k**(521/13965)
Simplify ((t/t**(1/4))**(-6/11)/(t*t**3)**(-7))**(-8) assuming t is positive.
t**(-2428/11)
Simplify (((q/q**(-6))/q**(-3))/((q*q**0)/q*q**4*q))**(1/22) assuming q is positive.
q**(5/22)
Simplify ((l**(-6)*l*l*l)/l)/l*l*l**(-1/4)*l**(4/3)/l*l**(-4/5) assuming l is positive.
l**(-283/60)
Simplify ((m*m**(-14))/((m/(m/m**(-11)))/m))/(m*m/(m/m**(-9))*m*m/(m*m**(2/9)*m)) assuming m is positive.
m**(65/9)
Simplify ((q**9/q**(-2/31))**(-14/9))**(-7) assuming q is positive.
q**(27538/279)
Simplify s*s**(-5)*s**(-13/6)*(s/(s/s**31)*s)/s*s*s**(-34) assuming s is positive.
s**(-49/6)
Simplify (q**(4/19)/q)/q*q**0*q**(-32)*q*q**(-23) assuming q is positive.
q**(-1060/19)
Simplify (y/(y*y**(2/5)))/y**(-18)*y**(2/27)/(y*y**(7/2)) assuming y is positive.
y**(3557/270)
Simplify ((p*p/p**(8/7)*p**12)**(1/16))**(-42) assuming p is positive.
p**(-135/4)
Simplify ((u**(-1/3)*u)/u)**(-14)/((u/(u*u/(u*u**(1/4)/u*u*u)*u))/u*u/u**(-7)*u) assuming u is positive.
u**(-43/12)
Simplify (r**(1/3)/r**(-2/3))/((r/r**(-5))/r)**(-5/9) assuming r is positive.
r**(34/9)
Simplify ((r*r**(-10/11))/r**(1/31))/(r**(-1))**(-5) assuming r is positive.
r**(-1685/341)
Simplify (a/a**(1/7)*a**(-11)/a)/(a/((a*a**(-4))/a)*a**10) assuming a is positive.
a**(-183/7)
Simplify (y/(y*y**(-5))*y)/y**(2/5)*y**2*(y/y**(-2/15))/y assuming y is positive.
y**(116/15)
Simplify (r/r**(1/3)*r**(-1/2)*r**(2/11)*r/(r/(r/(r*r*r/r**4*r*r))))**(-1/2) assuming r is positive.
r**(-23/132)
Simplify ((d*((d*d**(-19))/d)/d)/(d**(2/13)*d))**(-22) assuming d is positive.
d**(5764/13)
Simplify ((b*(b*(b**(-13/6)/b*b)/b*b*b*b)/b*b)/(b*b*b/(b*b**(-21/4))))**(1/41) assuming b is positive.
b**(-65/492)
Simplify (x*x/x**(4/9)*x*x*x*(x/((x**(-2/81)*x*x)/x))/x)/(x**(-4/5)*x**1/x*x) assuming x is positive.
x**(1369/405)
Simplify ((z**(-5)*z*(z/z**(1/7)*z)/z*z*z)/((z*z**(4/3))/z**4))**(-2/5) assuming z is positive.
z**(-22/105)
Simplify ((z*((z*z**(-2/41)*z)/z)/z)/(z*z*(z/(z/(z/((z*z**(1/3))/z))))/z))/((z/(z**3/z))/z)**25 assuming z is positive.
z**(6062/123)
Simplify (z**7/z*z**10)/(z**(-6)/z*z**(1/5)) assuming z is positive.
z**(114/5)
Simplify (j*(j/(((j/((j/j**(-3)*j)/j))/j)/j))/j*j)**(6/5)*j/j**(2/17)*j**(2/9) assuming j is positive.
j**(7271/765)
Simplify (f**(-2))**(2/25)*f**(-12)*f**14 assuming f is positive.
f**(46/25)
Simplify ((r**1/r)/r)/r**(1/17)*(r/(r/r**(-25)*r))/r**15 assuming r is positive.
r**(-715/17)
Simplify (((((q/(q*q/q**(2/29)*q))/q)/q)/q)/q**(-1/9)*(q/q**9*q*q)/q*q/q**(-5))**(-14) assuming q is positive.
q**(21266/261)
Simplify (((m*m**2*m)/m)**(-2/13)/(m/(m*m**(-2/29)*m)*m/(m*((m/m**(-1))/m)/m*m)))**(1/16) assuming m is positive.
m**(277/3016)
Simplify (s**1)**(-36/11)/(s**(1/4)/s*s**(-2/13)*s) assuming s is positive.
s**(-1927/572)
Simplify (r**(-5))**(-1/29)/((r**(-2/5)/r)/(r*r**(2/13))) assuming r is positive.
r**(5139/1885)
Simplify (i**(-7/5))**(16/7)/(i*i**(-10/9)/i)**(1/17) assuming i is positive.
i**(-2398/765)
Simplify ((s/(s/(s/s**(2/45)*s)))/s)/(s*s**(12/7)*s)*s**(-24)/((s/(s*s/s**27)*s*s)/s) assuming s is positive.
s**(-16934/315)
Simplify (d/(d*d/(d**7/d*d)))/((d/d**(-1/3))/d)*d**(1/12)*d/(d*d/((d*d*d**1)/d)) assuming d is positive.
d**(27/4)
Simplify ((p*p**3*p)**3)**11 assuming p is positive.
p**165
Simplify ((r**(-2/21)/r*r/(r**(-6)/r*r))**(-29))**(1/37) assuming r is positive.
r**(-3596/777)
Simplify (n**28*n*n)/(n**29/n)*(n**6)**(-11/4) assuming n is positive.
n**(-29/2)
Simplify (n/n**0*n)/n**(-11)*n**6*n**(-2) assuming n is positive.
n**17
Simplify ((s*s**(3/11))/s**(-2/113))/(((s/s**(-1/5))/s)/(s/(((s**(-29/5)*s)/s)/s))) assuming s is positive.
s**(55254/6215)
Simplify (r**(4/9))**(-46)/(r/(r*r*r**(2/7)*r)*r**19/r) assuming r is positive.
r**(-2278/63)
Simplify (((x**8/x)**(-41))**(-16))**(-33) assuming x is positive.
x**(-151536)
Simplify ((o**(-1)/o*o*o)/((o/(o/o**(-8)))/o*o))/(o**(1/4))**(1/15) assuming o is positive.
o**(479/60)
Simplify (c*c/c**(2/9)*c)/(c/(c/c**(-21))*c)*(c*c**5/c*c)**(-26) assuming c is positive.
c**(-1199/9)
Simplify (n/(((n*n**(-12)/n)/n)/n))/((n*n**14/n)/n*n*n)*(((n/n**0)/n*n)/n)**(-9) assuming n is positive.
1
Simplify (((l**(-1)*l)/(l*l**18))**5)**(-45) assuming l is positive.
l**4275
Simplify (b**(-2/51)*b**29*b)**39 assuming b is positive.
b**(19864/17)
Simplify (m**(-2/41)*m**(17/2))**(-29/3) assuming m is positive.
m**(-6699/82)
Simplify ((w/(w/(w/(w*w**(3/2))*w))*w*w**(1/2))/(w**(-4/3)*w*w**(-6)))**50 assuming w is positive.
w**(1100/3)
Simplify (n*n*n*n/n**(4/3))/(n**16*n*n)*(n**(-1/3)/n*n)**(3/13) assuming n is positive.
n**(-601/39)
Simplify (l/l**(1/7))/(l/(l**(2/11)/l))*(l**(-2))**(5/12) assuming l is positive.
l**(-829/462)
Simplify (u*u**12*u/u**21)/(u**7/(u/(u**(-10)/u))) assuming u is positive.
u**(-2)
Simplify (((w*w**(2/9))/w)/w*w*w*w**(-3)*w)/(w**(-1/7))**(-14) assuming w is positive.
w**(-25/9)
Simplify (l**(-4)*l)**(-3/4)*l**6/l**(3/5) assuming l is positive.
l**(153/20)
Simplify (((z/z**7)/(z*z/(z/(z/((z/z**(-8))/z)))*z))**32)**(-33/2) assuming z is positive.
z**528
Simplify (((w**2*w)**(-11))**1)**(-3/17) assuming w is positive.
w**(99/17)
Simplify (p/p**(2/9)*p)/p**(-4/11)*((p**4/p)/p)**(-11/5) assuming p is positive.
p**(-1118/495)
Simplify (b**(-11)/(b/((b/(b**1*b))/b*b*b)*b))/(b/(b*b**(6/7)/b)*b**(-10)*b) assuming b is positive.
b**(-29/7)
Simplify ((p**0)**(-49)*(p**(-1))**(-24))**16 assuming p is positive.
p**384
Simplify (i/i**(-7))**(-12/19)/(i**(20/3)*i/i**(-2/3)) assuming i is positive.
i**(-763/57)
Simplify (t**(-1))**(3/20)*t**(5/4)*t*t**(-5)/t assuming t is positive.
t**(-39/10)
Simplify (a*a**(3/7))**(-45)*(a*a**(-3/4)/a)**(-2/71) assuming a is positive.
a**(-63879/994)
Simplify ((b/b**21)/b*b**(-1/5))/(b**(18/11)/b**(-3/10)) assuming b is positive.
b**(-509/22)
Simplify (c*c*c*c/(c*(c/(c*c*c**(-3)))/c))/c*c/(c/(c**10/c*c))*c*(c**(-3/10)/c)/(c/c**(4/5)) assuming c is positive.
c**(21/2)
Simplify (z**(-4/9))**4*z**(2/75)/(z/z**(2/17)) assuming z is positive.
z**(-10073/3825)
Simplify (i*i*i/(i/i**15)*i*i)/i**(1/13)*((i/(i/i**8))/i)/i**(-18) assuming i is positive.
i**(571/13)
Simplify (t*t**10)/t**(-2/7)*(t**(-10)/t)/t**1 assuming t is positive.
t**(-5/7)
Simplify (d**(3/14)*((d*d**(-5))/d*d)/d)**(-4/41) assuming d is positive.
d**(134/287)
Simplify (k*(k*((k/(k/(k*k*k**(-4)))*k)/k)/k*k)/k*k**(1/7)*k*(k**(2/7)*k)**25)**(-1/20) assuming k is positive.
k**(-113/70)
Simplify (o/(o*((o**(2/13)/o)/o*o)/o))/(o**(-25)/o)*(o**(-13))**5 assuming o is positive. | {
"pile_set_name": "DM Mathematics"
} |
asing order.
8/3, d, -1
Let t be (-18)/(-48) + (0 - 0). Let b be (8/(-28))/((-5)/(-10)). Put -2/19, t, -2/5, b in ascending order.
b, -2/5, -2/19, t
Let u = 2704 + -2702. Put -2, -5, -3, u in increasing order.
-5, -3, -2, u
Let x be (-45)/12 - (1 + -4). Let s = 345 - 295. Put s, x, -5 in increasing order.
-5, x, s
Let p be 35/5 - 1*-1. Suppose 3*w - 3*x = 27, 4*w + w + 2*x = 17. Suppose -p = w*c - 3. Sort -4, c, 4.
-4, c, 4
Let h = -960 + 957. Sort -8.3, h, 5 in decreasing order.
5, h, -8.3
Let u be 1/3 - (-144)/54. Let j be (2/u)/((-20)/15). Put j, -0.3, 3 in increasing order.
j, -0.3, 3
Suppose 0 = 4*a - 2*o + 32, a - 5*o - 1 = -0*a. Let t = a + 16. Suppose -25*s + 22*s - 6 = 0. Sort -4, t, s in ascending order.
-4, s, t
Let a be 8/(-6)*(-6)/72. Suppose 10 = 2*t + 4. Suppose t*v - q = 12, 4*q - 1 = v + 6. Sort v, -5, a.
-5, a, v
Let o be (-2)/9 - (-4)/18. Let m be (-4)/(-8) + o - -1. Let v = -6 + 7. Put m, v, 2 in ascending order.
v, m, 2
Suppose -h - 2*h + 72 = 0. Suppose -11*r + h = -5*r. Put 5, -2, r in decreasing order.
5, r, -2
Let t = -540/77 - -74/11. Sort -0.35, 0.2, t.
-0.35, t, 0.2
Suppose -m + 2*z = 3, -4*m - 4*z + z + 43 = 0. Let p = 9 - m. Suppose -p*w - 2*w - k = 0, -4*k = -2*w. Put w, 1, 4 in descending order.
4, 1, w
Suppose 11 = 2*x - 3*s + 1, 5*x - 5*s = 15. Put 3, 23, -5, x in ascending order.
-5, x, 3, 23
Let i = -10.8 - -6.8. Let k = 4 + -4. Sort k, i, 0.04 in ascending order.
i, k, 0.04
Let h be (-28)/(-21)*15*1 + 1. Sort 5, 2, 3, h in increasing order.
2, 3, 5, h
Suppose 0 = 5*m + 4*l - 53, -2*l - 3*l = -4*m + 26. Sort -4, 0, m, -1 in decreasing order.
m, 0, -1, -4
Let x(k) = k**3 - 37*k**2 + 57. Let w be x(37). Sort 1, w, 0 in descending order.
w, 1, 0
Let q = 8 - 27. Sort q, -5, 3, -1 in ascending order.
q, -5, -1, 3
Let l = 0.477 + 0.023. Let k be 12/30 + 21/(-15). Suppose 16 = 5*v + 3*y, -4*v + y + 26 = -y. Sort v, k, l in descending order.
v, l, k
Let r = -379 + 380. Let x(d) = -d - 5. Let h be x(-10). Sort -4, 0, h, r.
-4, 0, r, h
Let q be ((-37)/(-222))/((-1)/(-3)). Sort q, -2/7, -0.0127.
-2/7, -0.0127, q
Let k = 163 + -158. Suppose 2*u = k*u - 9. Sort -3, -5, -1, u in increasing order.
-5, -3, -1, u
Suppose -o = 2*x - 68, 4*o + 4*x = -o + 334. Let y = o + -74. Sort -4, y, 4.
y, -4, 4
Let h(j) = 2*j**3 + 21*j**2 - 6*j + 69. Let n be h(-11). Let g be 2/3 - 4/(-3). Put n, g, 3 in descending order.
n, 3, g
Let d = 17.75 - -0.25. Let o = -17.79 + d. Let w = 6.21 - o. Sort w, -1, 0.2 in decreasing order.
w, 0.2, -1
Let m be (-10)/(-65) + 126/26 - 3. Put m, 4, -4, 6 in decreasing order.
6, 4, m, -4
Let d = 0.8 - 0.4. Let b = 696 - 697. Sort -0.03, b, d, 5 in decreasing order.
5, d, -0.03, b
Let q = -1902/19 - -100. Let g = 2 + -8. Put q, g, 1/5 in decreasing order.
1/5, q, g
Let n(s) = s**2 + 6*s + 2. Let k be n(-6). Let a(j) = -5 + 7*j**2 - j**3 + 3*j - 3*j. Let i be a(7). Put 0, k, i in descending order.
k, 0, i
Let o = -760 - -452. Put 1, -5, o, 2 in descending order.
2, 1, -5, o
Suppose -79*c - 48 = 347. Put 3, c, 5, 8 in increasing order.
c, 3, 5, 8
Let o = 2 - -1. Let k = -215 - -149. Let h be (-11)/k*8/2. Put o, 4/5, h in descending order.
o, 4/5, h
Suppose -3 = s - 0*s, 5*w + s + 13 = 0. Put w, 46, 2, -3 in increasing order.
-3, w, 2, 46
Let a = 0.5 - 0. Let v = 0.2 - a. Let h = 3161/171 + -347/19. Sort v, 0.2, h.
v, 0.2, h
Let l be (-1 + 34)*4/84*-2. Let d = l + 23/7. Put 4, d, -1 in ascending order.
-1, d, 4
Suppose -2*r - 12*t = -7*t - 11, 5*r = 2*t - 16. Sort -1, r, 4, 9 in ascending order.
r, -1, 4, 9
Let p = -917 - -920. Sort 1, -3, p, -20 in descending order.
p, 1, -3, -20
Let o be 3/(1/(-44)*(-168)/(-28)). Sort 4, o, 8.
o, 4, 8
Let n = -43 + 22. Let y = n + 6. Let c = -14.7 - y. Sort -1/7, c, -5 in descending order.
c, -1/7, -5
Let g(i) = -i**3 - i**2 - 14*i + 15. Let o be g(1). Let j be (-92)/22 + (-10)/(-55). Put -55, o, 4, j in descending order.
4, o, j, -55
Let r = 11671/21855 + -1/1457. Let l = 29011/34620 + -70/577. Let a = l + r. Put 2/13, 0.3, a in ascending order.
2/13, 0.3, a
Let w = 6017 + -6017. Let d be ((-9)/6)/(3/(-4)). Sort -4, d, 5, w in descending order.
5, d, w, -4
Suppose w - 3*m + 16 = -7, w = -m - 7. Let j = w - -15. Let o = 2 - 4. Sort j, 1, o in descending order.
j, 1, o
Let p = 11 + -32. Put -4, p, 1/4, 0.5 in ascending order.
p, -4, 1/4, 0.5
Let w be (16/(-144)*6)/(1 + 1). Sort 3, 13, w, -3.
-3, w, 3, 13
Let j = 296 - 296.2. Sort j, -7, 0.1, 2.
-7, j, 0.1, 2
Let l = 0.264 + -126.264. Let j = l + 131.9. Let m = j + -0.9. Put 2, -4, m in ascending order.
-4, 2, m
Let i(p) = -p**2 - 12*p + 13. Let b be i(-12). Let n be (3/b)/(-6 - (-18)/4). Sort 0.3, 1, -1, n in decreasing order.
1, 0.3, n, -1
Let i = -146 - -142. Let g(d) be the third derivative of d**5/60 + d**4/3 - 7*d**3/6 + 3*d**2. Let p be g(-9). Put p, i, 3 in decreasing order.
3, p, i
Let b = 10 + -9.81. Put 0.5, b, 0.4 in ascending order.
b, 0.4, 0.5
Let o(s) = s + 11. Let f = -2 - -9. Suppose 0 = -d - 0*d - f. Let j be o(d). Put j, 3/4, 0.4 in descending order.
j, 3/4, 0.4
Suppose 0 = -27*z + 102 - 21. Suppose 2*s - 7*s = 15. Sort z, s, 12 in descending order.
12, z, s
Let k = 8 - 5. Suppose 5*i - 15 = -0*r - 2*r, -k*r + 6 = 2*i. Let t(o) = 5*o - 35. Let x be t(6). Put i, 4, x in decreasing order.
4, i, x
Let f = -2136 - -2141. Sort 12, f, 2, 1 in descending order.
12, f, 2, 1
Let m = -14 + 15. Let h = 654 + -644. Suppose 4*w + 20 = 0, -50 = -2*g + 5*w - 15. Sort g, m, h.
m, g, h
Let b = -9 - -12. Let m be (-9 - b)/2 - -4. Sort 4, -5, m.
-5, m, 4
Suppose 0 = -5*k + k + 24. Suppose k*x - 4*x - 6 = 0. Sort -0.2, x, -2/3 in increasing order.
-2/3, -0.2, x
Suppose -151 = 34*q - 15. Sort 3, -14, q.
-14, q, 3
Let k = -60 + 68. Suppose -2*t + 18 = -k*t. Sort 3, -4, t, 0.2 in increasing order.
-4, t, 0.2, 3
Let q = 3547/6 + -24841/42. Suppose 0*m + 5*o - 21 = -m, 0 = 3*m + 4*o - 19. Suppose -y = 2 - m. Put q, -4, y in ascending order.
-4, y, q
Let x be (18/45)/(1/(-5)*-2). Sort x, 0.08, 0.11.
0.08, 0.11, x
Let g(y) = 2*y**2 - y - 1. Let f be g(-1). Let s(v) = -5 + v - 6 + f. Let m be s(8). Sort m, -5, 2 in increasing order.
-5, m, 2
Suppose -s - 4 + 2 = 0. Let x be s/6 + 24/18. Sort 4, -1, x in increasing order.
-1, x, 4
Let g be 4*-1 - (-6)/3. Let z(x) = x. Let s be z(g). Sort -6, 0, s in ascending order.
-6, s, 0
Let j = 15.73 - -0.37. Let n = -0.1 + j. Let x = n + -18. Put -1, -0.4, x in descending order.
-0.4, -1, x
Let r be 25/(-5 + 0) + (-2 - -6). Suppose 3*x = 6*x. Put 2, x, r, -2 in increasing order.
-2, r, x, 2
Suppose -19*w - 4 = -80. Put -2, w, 3, -7 in decreasing order.
w, 3, -2, -7
Let k(f) = 2*f**3 + 10*f + 3*f**2 + 2*f**2 - 3*f**3 - f**2 + 7. Let n be k(6). Suppose -4*j - 1 = 3. Sort j, 13, n in decreasing order.
13, j, n
Let f = 415 - 261. Sort 4, f, 0 in descending order.
f, 4, 0
Let v be 1 - -2 - (-16)/(-6). Let l = -1 + 10. Let z = -8 + l. Put z, -5, v in increasing order.
-5, v, z
Let n(l) = -l**2 - 11*l + 9. Let d be (117/(-26))/(2 - 13/8). Let k be n(d). Suppose 4*f + 10 = 2*f. Sort k, f, -1 in decreasing order.
-1, k, f
Let f be 5*5/(-8 - -3). Suppose -6*s - 21 = -3*s. Let t(b) = -b**2 - 6*b + 3. Let w be t(s). Put w, f, 2 in ascending order.
f, w, 2
Let l = 116.2 + -115.28. Put l, -1, -2/3 in increasing order.
-1, -2/3, l
Let j = 136 + -136.4. Sort 1, -2, j, 0.01.
-2, j, 0.01, 1
Suppose -18 = -0*o - 2*o. Let p be ((-27)/6)/((-5)/(-10)). Let d = -6 - p. Sort 0, d, o.
0, d, o
Suppose 0 = 4*w + w. Let h(z) = 2*z**2 - 17*z - 1. Let f be h(8). Let u(m) = m**2 + 10*m + 11. Let q be u(f). Put q, w, 3 in decreasing order.
3, q, w
Let q = -0.06 - 0. Let b = 2.94 - q. Let u = -2 + 1. Sort u, b, -4 in ascending order.
-4, u, b
Let z = -53 + 93. Let r be 5/(z/(-26)) + (-9)/12. Let j = -2 + 7. Put r, j, 6 in descending order.
6, j, r
Let o = 3.38 - -1.62. Sort -11, -0.3, o in ascending order.
-11, -0.3, o
Let x = 7 - 5. Suppose -4*l + 3 = -5*r, 0*r = r + 3. Suppose 18*h + 22 + 14 = 0. Sort x, l, h in decreasing order.
x, h, l
Let l = 15.5 + 0.5. Let u = -9 + l. Let b = u - 7.2. Put 2, b, 3 in descending order.
3, 2, b
Suppose 70 + 2 = 18*b. Sort -3/2, 2, 1, b in descending order.
b, 2, 1, -3/2
Let l be ((-6)/(-4))/(1/(4/3)). Suppose -l*n + 13 = -3*m, n + n + 2*m = 8. Sort 0, -1, -3, n.
-3, -1, 0, n
Let n(q) = -2 | {
"pile_set_name": "DM Mathematics"
} |
est common factor of 30 and y?
10
Let j = -7 + 10. Let d be (j + 6)*(-6 - -7). Suppose 0 = -5*r + d + 11. Calculate the greatest common divisor of r and 12.
4
Let d = 1 - -4. Suppose 0 = 2*s - 2*a - 18, -d*s + 2*a + 51 = 0. Let z be ((-3)/(-2))/((-3)/(-198)). Calculate the greatest common divisor of s and z.
11
Suppose -z + 5*z - 32 = 0. Let g be -2*-7*(2 - 1). Let j be (-4)/g + (-452)/(-14). What is the greatest common factor of z and j?
8
Let l(y) = y**2 + 6*y - 15. Suppose 5*a - 5*f = -90, -12 - 24 = 2*a + f. Let m be a/4*(3 + -1). Let p be l(m). Calculate the highest common factor of p and 12.
12
Let n be (125 + -4)/((-8)/(-32)). What is the highest common factor of n and 22?
22
Let b be ((-1)/2)/(1/(-12)). Suppose -77 + 329 = 6*z. What is the greatest common divisor of b and z?
6
Let y(x) = 4*x + 6. Let o be y(-2). Let z be o/(-8) - (-58)/(-8). Let k = z - -11. What is the greatest common divisor of k and 8?
4
Suppose -s = 2*i + 1, 4*s + 4*i = 3*i + 17. Suppose 0 = 4*d + d - x - 22, s*d = 2*x + 19. What is the highest common divisor of d and 85?
5
Suppose 0 = 85*p - 90*p + 285. Calculate the greatest common factor of p and 3.
3
Let v(k) = k**3 - 4*k**2 + 3. Let t be v(4). Let l(c) = -2*c**3 + 9*c**2 + 24*c + 3. Let m be l(6). What is the greatest common factor of t and m?
3
Let a(t) = -5*t - 31. Let q be a(-8). Let z = 57 - 30. Calculate the greatest common divisor of z and q.
9
Let f = 12 + -5. Suppose 5*n = 37 - f. Suppose -233 - 397 = -15*a. What is the greatest common divisor of n and a?
6
Suppose 0 = -i - 5, r + 2*i = 5*r - 74. Let u(v) = v**3 - v. Let q be u(-1). Suppose 5*f - 13 - 7 = q. What is the highest common factor of r and f?
4
Let k = 5 + -3. Suppose 9 = k*o - p, -5*o - p + 18 = p. Let t be 8/(-4) - -4 - -6. What is the highest common factor of o and t?
4
Suppose 2*x - 5*w + 2*w = 0, x = -3*w. Suppose o - 21 = -3*r, x*r - 5*o + 28 = 4*r. Suppose 46 - 270 = -4*j. Calculate the highest common factor of j and r.
7
Suppose -5*z - i = -35, -i + 5*i = -4*z + 12. Calculate the highest common factor of z and 40.
8
Suppose 2*x - 197 = -15*o + 16*o, -x + 3*o + 101 = 0. What is the highest common divisor of x and 476?
14
Let y(d) = -124*d - 5. Let c be y(-1). Calculate the greatest common divisor of 34 and c.
17
Suppose -21 - 34 = -5*h. Let t(f) = 2*f**2 - 12*f + 4. Let p be t(6). Suppose -5*l + 11 = -p*l. Calculate the highest common factor of l and h.
11
Suppose f - 9 = 7. Suppose 0 = -5*y + 44 + f. Suppose -3*m + 2*m + y = 0. Calculate the greatest common factor of 12 and m.
12
Let w(b) = -b**2 - 28*b + 5. Let i be w(-23). Suppose -5*x + 3*x = j - 64, 2*j - 4*x = i. What is the highest common factor of 93 and j?
31
Let i(w) = -36*w + 63. Let q be i(5). Let x = q + 147. Calculate the highest common divisor of x and 15.
15
Suppose -13*a = 28*a - 1640. What is the greatest common divisor of a and 15?
5
Suppose -108 = -3*l + h, -5*h + 126 = 3*l - 0*l. Calculate the greatest common divisor of l and 592.
37
Let t = -223 + 370. Calculate the highest common divisor of t and 42.
21
Let h(w) = 3*w**3 - 11*w**2 + 7 - 2*w**3 + 10*w - 2. Let x be h(10). Suppose x*g - 22 = 8. What is the greatest common factor of g and 6?
6
Suppose -36*s - 30 = -41*s. What is the highest common divisor of 156 and s?
6
Suppose 0 = -o - 2*k - 2, 3*k - 1 + 4 = -2*o. Suppose r = -3*v - 191, -v - 3*r - 77 = -o*v. Let a = v - -95. What is the greatest common factor of 11 and a?
11
Suppose 18 - 7 = g. Suppose 129 = 3*b - 102. What is the highest common divisor of g and b?
11
Let f be -9*(-20)/8*4/6. Let d(g) = -g**2 + 6*g + 7. Let z be d(8). Let i(x) = 3*x**2 + 13*x + 9. Let k be i(z). What is the greatest common factor of k and f?
15
Let q = 1275 - 1161. Calculate the greatest common factor of q and 2622.
114
Let u be 14 - 12 - (-565)/5. What is the greatest common factor of u and 2990?
115
Suppose -428 - 692 = -14*w. Calculate the greatest common divisor of w and 20.
20
Suppose -2*t - 3*f = -4*t + 1, 0 = -5*t - 2*f + 31. Suppose -2*u - 56 = -76. Suppose 0 = -v - v + u. What is the highest common divisor of t and v?
5
Suppose -k + 4*q = -0*q + 11, 7 = -k + 3*q. Suppose -k*y + 934 = -91. Suppose -2*c = -y - 257. What is the greatest common divisor of 33 and c?
33
Suppose 0 = -1481*y + 1486*y - 4485. What is the greatest common factor of y and 13?
13
Let r = 10 + -8. Suppose -25 = r*x - 7*x. Let p(y) = y + 18. Let o be p(-8). Calculate the greatest common divisor of o and x.
5
Suppose -o - o = 8, 2*k + 2*o = 346. Suppose -51 = -3*i + k. Suppose 5*f - 99 = -n, 4*f + n + 6 = 86. Calculate the highest common divisor of f and i.
19
Let j be (-11)/(-3) + -4 + 242/6. Let u be (1 - 4/2)*0. Let i = j + u. What is the greatest common factor of i and 16?
8
Suppose 0 = 3*c - 4*c + 202. What is the highest common factor of 1313 and c?
101
Let s = -820 + 798. Suppose 3*g - 72 = 4*k, -3*g + 120 = 2*g - 3*k. Let r = g + s. What is the highest common factor of 16 and r?
2
Let w = 7 + -5. Let t be ((-1)/w)/((-5)/70). Calculate the greatest common factor of t and 1.
1
Let p(n) be the third derivative of -41*n**4/24 - n**3/3 - 9*n**2. Let y be p(-1). What is the highest common factor of y and 13?
13
Let a be 2/3 + (-21)/(-9). Suppose a*c + 2*c = 135. Calculate the greatest common factor of c and 3.
3
Let t be ((-10)/(-4))/((-9)/(-18)). Suppose t*s + 0*s = 440. Calculate the highest common divisor of s and 11.
11
Let w(s) be the first derivative of s**3/3 - s**2/2 - 11. Let y be w(9). Suppose 3*u - 6*u = -24. What is the highest common factor of u and y?
8
Suppose -5*c - 2*t = -2862, 0 = -2*t + 5*t - 3. Calculate the highest common factor of 156 and c.
52
Let w(l) = -l + 24. Let u(i) = 2*i - 23. Let m(z) = 3*u(z) + 4*w(z). Let n be m(-13). Calculate the greatest common factor of 7 and n.
1
Suppose -6*d - 27 = -7*d. Calculate the greatest common divisor of d and 63.
9
Suppose -40*b + 60 = -20*b. What is the greatest common divisor of b and 141?
3
Suppose 0 = 2*n + 6, -2*o + n = -2*n - 531. Suppose 4*q + f = 351, -5*f - 96 = -4*q + o. What is the greatest common factor of 220 and q?
44
Let s be -1 + 38*2/4. Suppose 2*q + 450 = 4*m, -5*m + 273 + 302 = -5*q. Let a = m - 65. What is the greatest common divisor of s and a?
9
Suppose 3*d + 3*j - 1336 = 5*j, 4*d - 1770 = -3*j. Suppose 2*i - d = -i. Suppose 3*v - 281 = i. Calculate the greatest common factor of v and 13.
13
Let x(p) = 322*p**2 + 2*p + 8. Let f be x(-2). What is the highest common divisor of f and 68?
68
Let z = 2122 + -2111. Suppose 51 = v - 70. Calculate the greatest common factor of z and v.
11
Suppose 5*o - 3679 = -8*o. Suppose 2*g = -4*d + 230, 0 = 5*d + 2*g - g - o. Let y = 73 - 45. Calculate the highest common factor of y and d.
28
Let q = 255 - 171. Suppose 4*z = q - 24. Calculate the greatest common factor of 165 and z.
15
Let h = -307 + 442. What is the highest common factor of h and 180?
45
Let i(h) = -h**3 - 3*h**2 - 13*h - 10. Let w be i(-5). Calculate the greatest common divisor of w and 175.
35
Let y = 59 + -55. Let s(h) be the third derivative of -h**4/24 - 2*h**3/3 - h**2. Let g be s(-6). What is the greatest common factor of y and g?
2
Let f = -5851 - -5866. Let k(o) = -4*o**3 - 5*o**2 + 3*o + 1. Let u be k(-4). Calculate the greatest common divisor of f and u.
15
Let p(y) = 23*y + 123. Let o be p(11). Calculate the highest common divisor of 47 and o.
47
Let a be 76/(7/(924/6)) - -2. What is the greatest common divisor of a and 62?
62
Let d = -25 - -66. Let j(x) = x**2 + 2*x - 22. Let u be j(7). Calculate the highest common factor of u and d.
41
Let a = 271 + -235. Calculate the greatest common factor of 132 and a.
12
Let b = 964 - 722. Calculate the greatest common factor of b and 1089.
121
Let h be (-144)/(-30)*1*10. Calculate the highest common factor of 24 and h.
24
Let n = -391 - -511. What is the greatest common factor of n and 15?
15
Let u(d) = 2*d**2 + 2*d - 5. Let a(i) = i**3 + 3*i**2 - 4*i + 3. Let j be a(-4). Let z be u(j). Calculate the highest common divisor of z and 209.
19
Suppose -3*y + 8 - 2 = 0. Suppose -y*j = 4*j - 6. Let k be (j - -2)/(2/22). What is the highest common divisor of 22 and k?
11
Suppose 0*k - 8 = 2*k, 0 = 3*a + 5*k + 20. Let g be a + (-195)/(-4 - -1). Let r be -2*1 - 1*-28. Ca | {
"pile_set_name": "DM Mathematics"
} |
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