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derivative of v(y) wrt y?
-66*y
Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d.
360*d**2
Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u.
-2*u - 19
Find the second derivative of -10*c**2 - 12*c + c + 6*c + 4*c wrt c.
-20
Let d(u) = 2*u**5 - 4*u**3 + 4*u**2 - 11*u + 4. Let v(k) = -k**5 + k**3 - k**2 + k - 1. Let i(r) = d(r) + 4*v(r). Find the second derivative of i(b) wrt b.
-40*b**3
Let u(l) be the second derivative of l**10/15120 + l**6/240 - l**4/4 + 2*l. Let k(g) be the third derivative of u(g). Find the second derivative of k(c) wrt c.
40*c**3
Let m(y) = y**2 + 2*y - 5. Let u be m(-4). Find the first derivative of -5 - 4*i**2 + 2 - u*i**2 - 2 wrt i.
-14*i
Let j(p) = -7*p**4 - 5*p**2 + p. Let w(b) = 1 - 3*b**2 - 4*b**4 - 1 + 0. Let n(i) = -3*j(i) + 5*w(i). What is the second derivative of n(m) wrt m?
12*m**2
Let o(j) = j**3 + j**2 - j - 1. Let y(s) = 9*s**3 + 2*s**2 - 2*s + 10. Let g(i) = 2*o(i) - y(i). What is the first derivative of g(v) wrt v?
-21*v**2
Suppose 0*j + 12 = 3*j. What is the first derivative of 2*f**4 - 1 + 2*f**j - f**4 wrt f?
12*f**3
Suppose 0 = -8*y + 3*y + 15. What is the second derivative of 3*m**y - 5*m**2 - 5*m**2 + 10*m**2 - m wrt m?
18*m
Let x = 1 + 1. Suppose x*m - 3*m + 3 = 0. What is the first derivative of 1 - 5*h**3 + 2*h**3 + m wrt h?
-9*h**2
Suppose 0 = -5*c + 3*c. Let g(x) be the third derivative of -x**2 - 1/20*x**5 + 1/3*x**3 + 0*x + 0*x**4 + c. Find the first derivative of g(t) wrt t.
-6*t
Let h(k) be the first derivative of -k**7/14 + k**4/4 + 3*k - 3. Let z(q) be the first derivative of h(q). What is the third derivative of z(c) wrt c?
-180*c**2
Let h(b) be the first derivative of -4*b**5/5 - 2*b**2 + 7. What is the second derivative of h(f) wrt f?
-48*f**2
What is the third derivative of 26*o**3 - 26*o**3 - 2*o**4 + 2*o**2 + o**2 wrt o?
-48*o
Let z(u) be the third derivative of 0*u + 3*u**2 + 0*u**6 + 1/6*u**4 + 0*u**5 - 1/84*u**8 + 0*u**7 + 0 + 0*u**3. Find the second derivative of z(v) wrt v.
-80*v**3
Let q(x) be the third derivative of -x**2 + 0*x**6 + 0*x**5 + 0 + 0*x**4 + 0*x + 1/70*x**7 + 1/2*x**3. What is the derivative of q(i) wrt i?
12*i**3
Let c(d) be the third derivative of -19*d**7/210 + d**4/4 + 4*d**2. Find the second derivative of c(h) wrt h.
-228*h**2
Let w(x) be the third derivative of x**7/105 - x**4/4 - 4*x**2. What is the second derivative of w(q) wrt q?
24*q**2
Let o(f) = -19*f**4 + 6*f**2. Let z(v) = 38*v**4 - 12*v**2. Let j(k) = 7*o(k) + 4*z(k). Find the third derivative of j(m) wrt m.
456*m
Let f(p) = p**3 - 7*p**2 - p + 9. Let b be f(7). Differentiate -9 + 6 - 7*y**b + 12 with respect to y.
-14*y
Let u(z) be the third derivative of 0*z**3 + 1/12*z**4 - 1/42*z**8 + 0 + 0*z**7 + 0*z + 5*z**2 + 0*z**6 + 0*z**5. What is the second derivative of u(o) wrt o?
-160*o**3
Let p = 0 + 3. Suppose -p*g + 12 = g. Differentiate 1 - 5*v - v**3 + 2*v**g + 5*v wrt v.
3*v**2
Let g(k) be the third derivative of 1/168*k**8 + 0*k**7 + 1/30*k**5 + 0*k**3 + 3*k**2 + 0 + 0*k**6 + 0*k + 0*k**4. Find the third derivative of g(h) wrt h.
120*h**2
Let p(o) be the first derivative of 4*o**4 + 56*o**3/3 - 5. Find the third derivative of p(g) wrt g.
96
Let k(b) be the first derivative of 23*b**5/5 - 2*b**3/3 - 27. Find the third derivative of k(c) wrt c.
552*c
Let g = -51 + 55. Let n(r) be the second derivative of 0*r**g + 4*r + 0 + 1/30*r**6 - 2*r**2 + 0*r**5 + 0*r**3. What is the first derivative of n(t) wrt t?
4*t**3
Let o(r) be the second derivative of -2*r**3/3 - r**2/2 + 27*r + 1. Differentiate o(h) with respect to h.
-4
Let t = 24 + -45/2. Let h(x) be the second derivative of 0*x**3 + 0 + 2*x - 3/20*x**5 + 0*x**4 + t*x**2. Differentiate h(d) with respect to d.
-9*d**2
Let d = 151/390 - -1/78. Let o(b) be the first derivative of d*b**5 - b + 0*b**4 + 1 + 0*b**3 + 0*b**2. What is the first derivative of o(j) wrt j?
8*j**3
Suppose 2*y - h - 10 = 3, -5*y + 38 = 3*h. Suppose 0 = l - y*d + 2*d + 18, 12 = 2*l + 2*d. What is the third derivative of 2 - x**2 + 2*x**3 - l wrt x?
12
What is the first derivative of -38*i + 15*i + 14*i + 3 wrt i?
-9
Let c(m) = m**3 + 6*m**2 - 3*m - 9. Let w be c(-6). Suppose -4*l - 25 = -w*l. What is the derivative of l*j**2 - 2*j**2 + 2 - 4*j**2 wrt j?
-2*j
Let t(i) be the third derivative of -4*i**8/21 - 11*
|
{
"pile_set_name": "DM Mathematics"
}
|
y**4 + 496566*y**2 - 31*y - 1 wrt y.
-8128925184*y
What is the derivative of 7116415*k*o**2 + 16062618*o**2 - 2*o - 1 wrt k?
7116415*o**2
What is the first derivative of 17807*a*o + 53*a + 23*o + 120914 wrt o?
17807*a + 23
Find the third derivative of -156913*h**4 - 17*h**3 + 50593352*h**2.
-3765912*h - 102
Differentiate 32919193*r**4 + 235454617.
131676772*r**3
What is the third derivative of z**5 + 9676*z**4 - 38*z**3 - 63484855*z**2 wrt z?
60*z**2 + 232224*z - 228
Find the second derivative of -7746484*q**2 - 19*q + 202947 wrt q.
-15492968
Differentiate 18086289*t + 9001049.
18086289
Differentiate 1358961*f**3 - 10*f**2 + f*v - 19533594*v wrt f.
4076883*f**2 - 20*f + v
Find the second derivative of -340*m**2*s**3*w**2 - 7537*m**2*s*w**3 + m*s**3*w**2 - 348*m - 61*s**3*w**3 - 4*s*w**3 wrt m.
-680*s**3*w**2 - 15074*s*w**3
Find the third derivative of 20071245*a**2*i**3 + a**2*i**2 + 404*a**2*i + 11*a*i**2 + 3*i + 36 wrt i.
120427470*a**2
What is the second derivative of -57205117*y**2 - 10*y - 8474722 wrt y?
-114410234
Find the second derivative of -61859035*t**2*w**2 - 4*t**2 - t*w**2 + 3*t*w + 32928*w**2 - 34 wrt t.
-123718070*w**2 - 8
What is the second derivative of 446428636*m**3 + 1590064*m + 126?
2678571816*m
Find the first derivative of -34180221*b + 13965601 wrt b.
-34180221
What is the third derivative of -p**3*t**2 + 193603*p**3*t + 9*p**3 + 53*p**2*t**2 - 2*p**2 - p + 1896*t**2 - 3 wrt p?
-6*t**2 + 1161618*t + 54
What is the second derivative of -39929446*h*t**2 + 10*h*t - 64*h - 822*t wrt t?
-79858892*h
What is the second derivative of -38421*j**4 - 335*j**3 - 17408567*j?
-461052*j**2 - 2010*j
Differentiate 172117562*b + 161303707.
172117562
What is the second derivative of -13*x**5 - 5713630*x**4 - 6*x - 36020263 wrt x?
-260*x**3 - 68563560*x**2
What is the second derivative of -1675*l**3*x**3 - 7127*l**3*x**2 + 196699*l**3 - 10*l**2*x + 3*l*x + x + 2 wrt x?
-10050*l**3*x - 14254*l**3
Find the second derivative of -6*h*k**2*r + 7472528*h*k**2 + 228*h*k*r + 7*h*k - 3804*r wrt k.
-12*h*r + 14945056*h
Find the second derivative of -60014999*q**3 - 18585*q - 1240 wrt q.
-360089994*q
Find the second derivative of 447667428*r**5 + 39424*r + 400.
8953348560*r**3
What is the third derivative of -1945*g**3*q**3 - 44812651*g**3 + 3*g*q**2 + 2349*q**3 wrt q?
-11670*g**3 + 14094
What is the third derivative of 159745952*r**3 - 71*r**2 - 6*r - 8748 wrt r?
958475712
Differentiate -x**2 - 41286856*x + 23280751.
-2*x - 41286856
What is the third derivative of 18996092*k**4 + 23160058*k**2 wrt k?
455906208*k
What is the derivative of -75572225*z**4 - 64797568 wrt z?
-302288900*z**3
What is the first derivative of -180*c**4 - 28964*c**3 - 2*c + 319169210?
-720*c**3 - 86892*c**2 - 2
Differentiate 111604*c**2*s - 8*c**2 - 22*c*s - 38602*c + 1 wrt s.
111604*c**2 - 22*c
Find the third derivative of -376609884*b**4 + 6*b**2 - 10468*b - 2.
-9038637216*b
What is the third derivative of 10*m**4 + 3437020*m**3 + 262952944*m**2 wrt m?
240*m + 20622120
What is the second derivative of 6039*a**3*k**3 - 8*a**3*k + 423*a**3 + 282*a**2*k + 6206*a*k**5 + 36*a wrt k?
36234*a**3*k + 124120*a*k**3
Differentiate 5041*m**4*q**3 - 623*m**2*q**3 - 765*q**3 - 149*q**2 + q + 1 wrt m.
20164*m**3*q**3 - 1246*m*q**3
Find the second derivative of 19177*u**5 - 146*u**3 + u**2 + 169521527*u.
383540*u**3 - 876*u + 2
Find the first derivative of -o*q**2 + 3*o*q - 1169*o - 181*q**2 - 1031*q - 142170 wrt q.
-2*o*q + 3*o - 362*q - 1031
Find the third derivative of 19467021*x**3 + 6988679*x**2 wrt x.
116802126
What is the third derivative of -21822*i**4 + 2896*i**3 - 403614019*i**2 wrt i?
-523728*i + 17376
What is the second derivative of -9*f**5*r - 30022*f**4*r**3 + 43*f*r**3 - f*r**2 + 127*f*r + 5 wrt f?
-180*f**3*r - 360264*f**2*r**3
What is the second derivative of -696512985*b**3*l**2 + 3*b**3*l + 4537263*b**3 wrt l?
-1393025970*b**3
Find the first derivative of -26*a*b*y + 766462*a*b + 3*b*y + b + 1721*y wrt y.
-26*a*b + 3*b + 1721
What is the second derivative of -81499*j**4 - 40*j**3 + 22007926*j?
-977988*j**2 - 240*j
What is the third derivative of -12*h*j**5*v**3 + 1359660*h*j**3 + 461*h*j**2*v**2 + 67*h*j*v + 369*j**2 - 2*j*v**3 wrt j?
-720*h*j**2*v**3 + 8157960*h
Find the first derivative of -7749243*l**2 + 15885842 wrt l.
-15498486*l
What is the second derivative of 377872*i**3 + 22*i**2 - 12310083*i + 1 wrt i?
2267232*i
|
{
"pile_set_name": "DM Mathematics"
}
|
2}?
3/182
What is prob of picking 1 c and 2 k when three letters picked without replacement from {e: 3, c: 1, i: 1, a: 1, f: 2, k: 4}?
3/110
Calculate prob of picking 1 f, 2 v, and 1 z when four letters picked without replacement from {i: 1, f: 3, v: 4, p: 4, z: 4, k: 1}.
18/595
Calculate prob of picking 2 g when two letters picked without replacement from {s: 6, g: 3, p: 1, o: 2, i: 6}.
1/51
What is prob of picking 1 g and 1 w when two letters picked without replacement from swwwwsgd?
1/7
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from ssgwswgwgwuws.
10/39
Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 5, m: 3, p: 1, t: 1, y: 10}.
5/19
Two letters picked without replacement from nuucxucunjcxuxujx. What is prob of picking 1 c and 1 u?
9/68
Two letters picked without replacement from {q: 17, h: 1}. What is prob of picking 2 q?
8/9
Calculate prob of picking 2 f and 2 v when four letters picked without replacement from ffvfvfvvfvfv.
5/11
Four letters picked without replacement from {y: 1, z: 1, q: 3}. What is prob of picking 1 z and 3 q?
1/5
What is prob of picking 2 i and 2 w when four letters picked without replacement from iiiwwiwiii?
3/10
Four letters picked without replacement from wwqqqw. What is prob of picking 2 w and 2 q?
3/5
Two letters picked without replacement from {y: 1, a: 1, i: 3, c: 2}. Give prob of picking 1 c and 1 i.
2/7
Calculate prob of picking 1 k, 1 l, and 1 y when three letters picked without replacement from {c: 1, l: 2, y: 1, z: 1, v: 1, k: 1}.
2/35
Three letters picked without replacement from {w: 1, f: 1, c: 2, p: 2}. Give prob of picking 1 w and 2 c.
1/20
Four letters picked without replacement from cbcsbscssssbsbbcb. What is prob of picking 4 b?
3/476
Two letters picked without replacement from {x: 2, r: 4, b: 4}. Give prob of picking 1 x and 1 r.
8/45
Four letters picked without replacement from {x: 5, w: 5}. What is prob of picking 3 x and 1 w?
5/21
Three letters picked without replacement from lajwiiaaiwwliiai. What is prob of picking 3 a?
1/140
Calculate prob of picking 1 p and 2 i when three letters picked without replacement from likikiiakap.
2/55
Three letters picked without replacement from ncnccnnccccccccn. Give prob of picking 1 c and 2 n.
11/56
Two letters picked without replacement from gcdlclccccggldgggcg. Give prob of picking 1 g and 1 d.
14/171
Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {g: 2, d: 2}.
1/2
What is prob of picking 1 u, 1 n, and 1 s when three letters picked without replacement from {s: 1, m: 1, u: 1, n: 1, l: 1}?
1/10
Four letters picked without replacement from ssskszaszkskwzszaw. What is prob of picking 1 w, 1 s, 1 k, and 1 a?
7/255
What is prob of picking 1 h and 1 t when two letters picked without replacement from {v: 1, t: 1, h: 2, s: 1, a: 1, f: 8}?
2/91
Two letters picked without replacement from {f: 3, i: 2, w: 5, e: 3}. What is prob of picking 1 w and 1 i?
5/39
What is prob of picking 3 j and 1 e when four letters picked without replacement from {y: 2, e: 9, m: 2, n: 1, t: 1, j: 3}?
1/340
What is prob of picking 1 g and 1 z when two letters picked without replacement from {e: 1, j: 6, n: 1, g: 1, i: 3, z: 6}?
2/51
What is prob of picking 1 r and 1 n when two letters picked without replacement from {n: 1, r: 12}?
2/13
Calculate prob of picking 2 g when two letters picked without replacement from tnntgtgnnnqtnn.
1/91
What is prob of picking 1 l and 2 q when three letters picked without replacement from {l: 2, v: 10, q: 6}?
5/136
Two letters picked without replacement from pllpplgpp. What is prob of picking 2 p?
5/18
Three letters picked without replacement from {o: 7}. Give prob of picking 3 o.
1
Calculate prob of picking 1 c, 1 p, 1 y, and 1 l when four letters picked without replacement from {c: 1, p: 1, u: 1, l: 1, y: 1}.
1/5
What is prob of picking 2 c, 1 w, and 1 g when four letters picked without replacement from gcccwgcccccw?
112/495
Two letters picked without replacement from yyyyyyy. What is prob of picking 2 y?
1
Calculate prob of picking 3 u when three letters picked without replacement from {u: 5}.
1
Calculate prob of picking 1 k and 3 h when four letters picked without replacement from khkkkkkhkhkkkkkkhkkk.
64/4845
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from ztttoooamtjj.
1/33
What is prob of picking 1 v, 1 d, and 2 e when four letters picked without replacement from eeedeeeevveed?
144/715
Three letters picked without replacement from ttttttttttttg. Give prob of picking 2 t and 1 g.
3/13
Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, o: 4, c: 1, f: 2}.
1/36
Calculate prob of picking 2 q when two letters picked without replacement from eqqeqqeqqq.
7/15
Three letters picked without replacement from nkmqgmmgklknggg. Give prob of picking 3 k.
1/455
Calculate prob of picking 1 d, 1 s, and 1 n when three letters picked without replacement from {n: 3, h: 3, f: 1, d: 1, s: 6}.
9/182
Three letters picked without replacement from {t: 4, y: 4, h: 5, s: 6}. What is prob of picking 2 h and 1 y?
40/969
Calculate prob of picking 2 m when two letters picked without replacement from ihxmmxxxmjxy.
1/22
Calculate prob of picking 2 f when two letters picked without replacement from {r: 5, f: 2, i: 3}.
1/45
What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 2, y: 4, n: 1, g: 1, z: 2, q: 7}?
1/34
Three letters picked without replacement from {v: 1, w: 7, h: 2}. What is prob of picking 1 v and 2 w?
7/40
Three letters picked without replacement from {m: 1, p: 1, y: 2, q: 1, r: 4}. What is prob of picking 1 m, 1 r, and 1 y?
2/21
Three letters picked without replacement from qwwwwwwwqwkwe. Give prob of picking 1 q and 2 w.
36/143
What is prob of picking 1 d and 1 n when two letters picked without replacement from dddnddnann?
4/9
Calculate prob of picking 2 g and 1 b when three letters picked without replacement from ogbrgrrgokarara.
3/455
What is prob of picking 4 s when four letters picked without replacement from {s: 7}?
1
Two letters picked without replacement from xfoso. Give prob of picking 1 s and 1 f.
1/10
Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, i: 4}.
1/15
What is prob of picking 1 g, 1 m, and 1 e when three letters picked without replacement from {g: 1, r: 7, w: 2, e: 2, z: 2, m: 2}?
1/140
What is prob of picking 1 m, 1 p, and 1 h when three letters picked without replacement from {e: 1, m: 2, p
|
{
"pile_set_name": "DM Mathematics"
}
|
s the second derivative of 104850694*n**5 - 394*n + 108963?
2097013880*n**3
Find the third derivative of 488388389*h**3 - 1229*h**2 + h + 37262.
2930330334
What is the second derivative of 111325*p**5 - 222*p**2 - 9*p - 14245841 wrt p?
2226500*p**3 - 444
Find the second derivative of 29435594*h**5 - 3096*h - 1478 wrt h.
588711880*h**3
Find the third derivative of -751171*z**4 - 2550063*z**2.
-18028104*z
Find the third derivative of -74337060*t**4 - 2*t**3 + 244542926*t**2.
-1784089440*t - 12
What is the first derivative of -7805317*h - 8742168?
-7805317
What is the third derivative of 95250453*a**5 - 32*a**2 - 168558*a - 8?
5715027180*a**2
What is the first derivative of -a*l**2*z - 99666203*a*z - 4*l**2*z - 17159*l**2 + l - 3*z + 10 wrt a?
-l**2*z - 99666203*z
What is the derivative of 209725*p**3 + 745*p**2 - 349536503 wrt p?
629175*p**2 + 1490*p
Differentiate -1729435*c - 2680881 with respect to c.
-1729435
Differentiate -1126*p**2 + 8655*p + 32430399 wrt p.
-2252*p + 8655
Differentiate 14*d**2*g**2 + 2*d**2 - 119005*d + g**2 - 223*g - 4985 with respect to d.
28*d*g**2 + 4*d - 119005
Find the second derivative of -13*m**3*o**3 - 16*m**3*o + 4*m**2*o - 1797706*m*o**4 - 1131*m*o - 3*m + 4*o - 2 wrt o.
-78*m**3*o - 21572472*m*o**2
What is the third derivative of 97925032*o**3 - 392052866*o**2 + 2?
587550192
What is the derivative of 5*n**3 + 426000*n**2 + 2*n + 41077211 wrt n?
15*n**2 + 852000*n + 2
What is the third derivative of 52842015*s**3 - 73594931*s**2 wrt s?
317052090
What is the third derivative of -154*s*t**4 + 16*s*t**3 - 2*s*t + 2606*s + 7*t**4 + 48*t**3 + 27*t**2 wrt t?
-3696*s*t + 96*s + 168*t + 288
What is the third derivative of -59*c**4 + 711196*c**3 + 215446*c**2 - 243*c wrt c?
-1416*c + 4267176
What is the derivative of -15*d**2*s + 8*d**2 - 5*d*s + 1971*d - 44516*s - 411 wrt d?
-30*d*s + 16*d - 5*s + 1971
Find the second derivative of 2*b**2*p*q**2 - 6*b**2*p - 7*b**2*q - 1438081*b*p*q**2 + 2*b*p*q + 87*b*q - 25*p*q - 7 wrt q.
4*b**2*p - 2876162*b*p
Find the first derivative of 50389011*v**4 + 65124031.
201556044*v**3
What is the third derivative of k**3*l**3 - 3*k**3*l**2 - 6*k**3 - k**2*l**3 + 140*k**2*l**2 - 8*k*l**3 - 455*k*l + 582*l**3 wrt l?
6*k**3 - 6*k**2 - 48*k + 3492
Find the second derivative of 2063416*p**2*q**2*w - 6*p**2*q + 5*p**2 + 23493*p*q**2*w + 82*q**2 + 31*q*w wrt p.
4126832*q**2*w - 12*q + 10
What is the second derivative of -95*u**4 + 2072*u**3 + 212*u**2 - 515560610*u?
-1140*u**2 + 12432*u + 424
Differentiate -746320*n**3 - 17270288 wrt n.
-2238960*n**2
Find the first derivative of -69289449*z + 115457447 wrt z.
-69289449
Find the third derivative of -86302*o**4 - 51*o**3 + 62063*o**2 - 28.
-2071248*o - 306
Find the first derivative of 991942239*r**3 - 225861514 wrt r.
2975826717*r**2
What is the first derivative of 3*d**2*u + 138*d**2 + 26*d*u + 13*d - 806034*u wrt d?
6*d*u + 276*d + 26*u + 13
What is the second derivative of 19313*q**4 + q**3 - 793*q**2 - 391657887*q?
231756*q**2 + 6*q - 1586
What is the second derivative of 15128923*p**2 - 199369007*p?
30257846
What is the third derivative of -u**5 - 134472452*u**3 + 310088947*u**2 - 2 wrt u?
-60*u**2 - 806834712
Find the first derivative of 2536*m**2 + 953*m + 4177966.
5072*m + 953
Find the second derivative of -11186*a*g**3 + 3756595*a*g - 3*a - 509*g**4 - 2*g + 5 wrt g.
-67116*a*g - 6108*g**2
Differentiate 2*c**4 - 4520*c**3 - 62*c**2 - 9951672.
8*c**3 - 13560*c**2 - 124*c
What is the third derivative of -49756*k*n**3 - 4*k*n**2 + k + 146*n**5 + 18*n**2 + 35487*n - 1 wrt n?
-298536*k + 8760*n**2
What is the third derivative of 755179*c*o**4 + c*o**3 - c*o**2 + c*o - 15*c - 2*o**3 - 354*o**2 + 2*o wrt o?
18124296*c*o + 6*c - 12
What is the third derivative of -382711*l**2*m**3 - 184*l**2*m - 2*l*m**2 - l*m + m**4 + 5989*m**2 wrt m?
-2296266*l**2 + 24*m
Differentiate 12135491*l**4 + 98993931 wrt l.
48541964*l**3
What is the derivative of 261390214*g - 202462263?
261390214
Find the third derivative of -4821*p**4 + 11411*p**3 + 14*p**2 + 2355484 wrt p.
-115704*p + 68466
Find the third derivative of -223*y**5 - 2*y**4 + 9936*y**3 - 151874792*y**2.
-13380*y**2 - 48*y + 59616
What is the third derivative of 12*c**5 + 31635*c**3 + 32870*c**2 + 36 wrt c?
720*c**2 + 189810
Find the second derivative of -111900422*s**2*z**2 - 29316999*s*z**2 wrt s.
-223800844*z**2
What is the first derivative of 705233*k**3 - 45*k**2*o + o - 61834029 wrt k?
21156
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from weahzpa. What is prob of sequence apa?
1/105
Calculate prob of sequence oz when two letters picked without replacement from {o: 12, z: 1}.
1/13
Calculate prob of sequence rr when two letters picked without replacement from {r: 7, s: 2, c: 9, k: 1}.
7/57
Two letters picked without replacement from zcszbffs. Give prob of sequence cf.
1/28
Two letters picked without replacement from {o: 9, i: 10}. Give prob of sequence io.
5/19
Four letters picked without replacement from tfotfvfoltbl. Give prob of sequence ovof.
1/1980
Calculate prob of sequence lo when two letters picked without replacement from wooloowwloddlolloll.
49/342
Two letters picked without replacement from {y: 6, n: 13}. Give prob of sequence yn.
13/57
Four letters picked without replacement from {q: 5, r: 1, m: 6, y: 7}. What is prob of sequence yqym?
35/2584
Calculate prob of sequence wt when two letters picked without replacement from wtnctwcnwewtwnnw.
3/40
What is prob of sequence hcd when three letters picked without replacement from {d: 7, c: 3, h: 3}?
21/572
Four letters picked without replacement from {e: 4, j: 7, h: 3}. Give prob of sequence hjjh.
3/286
Three letters picked without replacement from aabbaajjbab. Give prob of sequence jaa.
4/99
Two letters picked without replacement from {c: 8, p: 2}. What is prob of sequence cp?
8/45
Four letters picked without replacement from {x: 3, e: 3}. Give prob of sequence eeex.
1/20
Calculate prob of sequence awa when three letters picked without replacement from haawwppha.
1/42
Two letters picked without replacement from {p: 5, k: 5, e: 1, o: 1, i: 1, j: 4}. What is prob of sequence po?
5/272
Calculate prob of sequence mj when two letters picked without replacement from mpmjjppmjmmpjm.
12/91
What is prob of sequence vkv when three letters picked without replacement from kvkvvvhk?
3/28
Calculate prob of sequence hayg when four letters picked without replacement from {z: 1, a: 1, g: 1, h: 2, b: 1, y: 1}.
1/420
Four letters picked without replacement from {o: 9, z: 5}. Give prob of sequence zzoo.
60/1001
What is prob of sequence jzzj when four letters picked without replacement from jzjzjzzzjzzzzz?
45/1001
Two letters picked without replacement from zxzfzzzzfxzxzx. Give prob of sequence zf.
8/91
Calculate prob of sequence bldl when four letters picked without replacement from lbbklbbfkdl.
1/330
Three letters picked without replacement from fexveegvmffe. Give prob of sequence vmg.
1/660
Three letters picked without replacement from zzzkkzkkzkzkkkkkzzzz. What is prob of sequence zkk?
5/38
Two letters picked without replacement from sssreeessrsessse. Give prob of sequence re.
1/24
Two letters picked without replacement from aswanwttawas. What is prob of sequence tn?
1/66
What is prob of sequence lc when two letters picked without replacement from {l: 3, f: 2, c: 3, a: 10}?
1/34
Calculate prob of sequence xxuu when four letters picked without replacement from uxuuuxxuxuu.
7/110
Four letters picked without replacement from {g: 5, z: 3}. Give prob of sequence gggz.
3/28
Two letters picked without replacement from {q: 1, z: 2, a: 1, g: 1, n: 2}. Give prob of sequence az.
1/21
Three letters picked without replacement from ppvvyvvpvvvpvvvpypv. What is prob of sequence pyv?
22/969
Three letters picked without replacement from {i: 2, q: 1, n: 3, o: 1}. Give prob of sequence nii.
1/35
Three letters picked without replacement from {z: 1, x: 1, g: 18}. What is prob of sequence xzg?
1/380
Three letters picked without replacement from ohodhohhdco. Give prob of sequence ocd.
4/495
Calculate prob of sequence glk when three letters picked without replacement from {k: 1, g: 1, j: 1, l: 10, q: 1}.
5/1092
What is prob of sequence ixt when three letters picked without replacement from ihffhihotoiiihoiihxt?
7/3420
Four letters picked without replacement from aaaaabbaaaa. Give prob of sequence aabb.
1/55
Calculate prob of sequence pap when three letters picked without replacement from {p: 2, a: 4}.
1/15
Three letters picked without replacement from {v: 9}. Give prob of sequence vvv.
1
Calculate prob of sequence nwwm when four letters picked without replacement from ppnlwmnpwppxpxnllwp.
1/5168
Two letters picked without replacement from {a: 9}. What is prob of sequence aa?
1
Calculate prob of sequence vy when two letters picked without replacement from nyyvvvynyvv.
2/11
Four letters picked without replacement from {e: 1, h: 5, k: 2, n: 3, a: 3, w: 1}. Give prob of sequence khak.
1/1092
Four letters picked without replacement from {k: 13, o: 3, n: 2}. Give prob of sequence knko.
13/1020
Two letters picked without replacement from crcxtxp. What is prob of sequence xt?
1/21
What is prob of sequence tee when three letters picked without replacement from etdtdteddeiedtd?
8/455
What is prob of sequence yy when two letters picked without replacement from syybyap?
1/7
Calculate prob of sequence bp when two letters picked without replacement from eppbaaepppebppapppp.
11/171
Calculate prob of sequence ip when two letters picked without replacement from arparaiarese.
1/132
Calculate prob of sequence wu when two letters picked without replacement from sssuwswstsywsasy.
1/80
Four letters picked without replacement from ccxxxcvvccvccxcxxccv. What is prob of sequence vcxx?
10/969
What is prob of sequence aawb when four letters picked without replacement from awbbwawbbbbbwbbabab?
11/1938
Four letters picked without replacement from {o: 9, t: 2, r: 6}. What is prob of sequence rrot?
9/952
What is prob of sequence dmdl when four letters picked without replacement from mldmmlmmmdvmmmmdvv?
1/612
Calculate prob of sequence yuv when three letters picked without replacement from {h: 1, f: 2, p: 1, y: 1, u: 1, v: 1}.
1/210
Calculate prob of sequence dxs when three letters picked without replacement from gtwxdds.
1/105
Calculate prob of sequence snrr when four letters picked without replacement from knrnkkrrkskknsk.
1/910
Calculate prob of sequence llyl when four letters picked without replacement from {q: 1, l: 7, y: 2}.
1/12
Four letters picked without replacement from {b: 6, e: 4, g: 1, s: 4}. What is prob of sequence eesg?
2/1365
What is prob of sequence smk when three letters picked without replacement from {m: 6, k: 7, s: 1}?
1/52
Four letters picked without replacement from iivivivvvvviiviv. Give prob of sequence vivv.
21/260
What is prob of sequence kss when three letters picked without replacement from kskskkkkkskkkksssk?
5/68
Three letters picked without replacement from {d: 3, u: 1, o: 4}. Give prob of sequence dud.
1/56
Four letters picked without replacement from jjwwjjjwjwj. Give prob of sequence wwwj.
7/330
Three letters picked without replacement from tkkktttkkkuukt. What is prob of sequence tuu?
5/1092
What is prob of sequence www when three letters picked without replacement from {e: 8, w: 3}?
1/165
Two letters picked without replacement from {b: 2, l: 1, v: 2, z: 1, j: 1}. What is prob of sequence vv?
1/21
Four letters picked without replacement from {p: 1, o:
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)).
-16*x**4
Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)).
-2974*v
Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Calculate q(i(m)).
-6*m**4
Let c(w) = 8*w. Let o(m) = -63*m + 4. Let f(l) = -2002*l + 130. Let b(n) = -4*f(n) + 130*o(n). What is c(b(i))?
-1456*i
Let c(d) = d**2. Let m(a) = -16567347*a**2. Calculate m(c(j)).
-16567347*j**4
Let g(y) be the first derivative of -5*y**2/2 + 826. Let f(l) = 441*l. Give f(g(u)).
-2205*u
Suppose 17*x - 56 = -22. Let a(b) = 4*b + 46*b**x - 12*b + 3*b + 6*b + 2*b**2. Let h(l) = 2*l**2. What is a(h(r))?
192*r**4 + 2*r**2
Let h(y) = -45*y - 29*y + 167*y + 4 - 40*y - 45*y + 0. Let f(m) = 1. Let k(b) = b + 1. Let z(s) = f(s) - k(s). Give h(z(j)).
-8*j + 4
Let c(s) = -49*s**3 + 10*s + 11. Let y be c(-3). Let w(b) = 658*b - y*b + 650*b. Let r(z) = -3*z + 2*z - 3*z. Give r(w(m)).
-16*m
Let d(r) = 10*r - 5003. Let y(f) = -35*f**2 + f. Determine d(y(b)).
-350*b**2 + 10*b - 5003
Let p(j) be the second derivative of j**7/70 - 13*j**4/4 - 6*j. Let s(d) be the third derivative of p(d). Let x(h) = -2*h**2. Determine x(s(l)).
-2592*l**4
Let z(q) = -14*q**2 - 59. Let b(j) = 17*j - 124. Let w(k) = -19*k + 155. Let u(m) = -5*b(m) - 4*w(m). Calculate u(z(l)).
126*l**2 + 531
Let j(f) = -1219935*f**2. Let c(q) = -3*q. Determine c(j(r)).
3659805*r**2
Let t(o) = -28*o. Let w(f) = -41*f + 15. Let s(j) = 539*j - 198. Let n(v) = -5*s(v) - 66*w(v). What is n(t(l))?
-308*l
Let h(q) be the third derivative of 7*q**2 + 0 + 0*q**4 + 0*q**3 + 0*q - 1/12*q**5. Let p(g) = 54*g + 57*g - 114*g. Give h(p(m)).
-45*m**2
Let u(m) = -5301*m**2 + m. Let f(k) = 1157*k. What is f(u(w))?
-6133257*w**2 + 1157*w
Let h(t) = -5*t. Let w(q) = q**2 - 8*q + 9. Let s be w(7). Let a(j) = -s*j + 3990 - 3990. What is h(a(d))?
10*d
Let o(t) = -9*t. Let f(n) be the first derivative of n**2 + 40*n - 478. Calculate f(o(j)).
-18*j + 40
Let h(u) = 11*u - 166. Let o be h(16). Let m(j) = -o*j**2 + 0 + 8*j**2 - 2 + 2. Let b(l) = l + 1. Let t(q) = 10. Let s(n) = -10*b(n) + t(n). Calculate m(s(a)).
-200*a**2
Let l(b) = -2590*b**2 + 857*b. Let m(y) = 18*y**2. What is l(m(p))?
-839160*p**4 + 15426*p**2
Let g(h) be the third derivative of -51*h**4/4 - h**3/6 - 17964*h**2 - 2*h + 5. Let w(t) = 3*t + 2*t - 3*t. Determine g(w(u)).
-612*u - 1
Let g(b) be the second derivative of b**4/2 + b. Suppose -3*t = -2*l + 42 - 260, 12 = -3*l. Let u(c) = -73*c**2 + 136*c**2 - t*c**2. Determine g(u(w)).
294*w**4
Let f(k) = 3660420*k**2 - k. Let i(r) = 28*r**2. Calculate f(i(p)).
2869769280*p**4 - 28*p**2
Let r(d) = -342*d**2. Let j(z) be the first derivative of 0*z - 111 + 1/2*z**2. What is j(r(f))?
-342*f**2
Let r(k) = -194*k. Let w(c) = 1038330*c. Calculate w(r(u)).
-201436020*u
Let r(t) = t. Let u(w) be the second derivative of -459*w**4/4 + 3*w + 1209. What is r(u(f))?
-1377*f**2
Let y(l) = 2*l**2. Let k(q) = -1222*q**2 + 61814*q - 61814*q. What is y(k(v))?
2986568*v**4
Let y(m) = -2962*m**3 - 24*m - 49. Let c be y(-2). Let v(l) = c - 23695 - l. Let h(d) = 51*d. Calculate v(h(o)).
-51*o
Let u(o) = -1256507*o**2. Let m(k) = -72*k**2. Determine m(u(t)).
-113674308555528*t**4
Let s(r) = 8*r. Let g(k) be the first derivative of 13*k**5/60 + 11*k**2/2 - 3*k + 48. Let b(w) be the second derivative of g(w). Calculate s(b(m)).
104*m**2
Let l(o) = -o. Suppose -675 = 7*w - 2334. Let z(y) = -474 + w - 10*y - 10*y**2 + 237. Give l(z(b)).
10*b**2 + 10*b
Let s(c) = -1167*c**2. Let t(q) = 74499*q**2. Give s(t(b)).
-6476967868167*b**4
Let k(c) = -1 - 373*c + 1100*c - 363*c + 1 - 361*c. Let u(s) be the second derivative of -91*s**4/12 - 2*s. Determine u(k(d)).
-819*d**2
Let n(s) = -59 + 26
|
{
"pile_set_name": "DM Mathematics"
}
|
8.
43730
72 (base 8) to base 14
42
What is -12521 (base 6) in base 7?
-5413
872 (base 11) to base 4
100113
-11712 (base 8) to base 16
-13ca
20000 (base 3) to base 6
430
What is -2322 (base 5) in base 3?
-110111
What is 2304 (base 5) in base 13?
1c4
What is -500e (base 16) in base 5?
-1123434
-313 (base 9) to base 4
-3333
What is -11100 (base 4) in base 8?
-520
1341 (base 11) to base 7
5033
What is -11431 (base 5) in base 14?
-45c
Convert 52 (base 14) to base 10.
72
Convert 13a (base 16) to base 11.
266
Convert -133313 (base 4) to base 12.
-121b
1114 (base 9) to base 6
3451
What is -2 (base 12) in base 15?
-2
What is -29303 (base 12) in base 10?
-57459
Convert -216 (base 8) to base 12.
-ba
What is -285 (base 12) in base 16?
-185
What is -46510 (base 7) in base 2?
-10111010001010
What is -1032 (base 12) in base 14?
-902
-127266 (base 8) to base 16
-aeb6
What is -332 (base 9) in base 13?
-17c
Convert 3486 (base 11) to base 15.
154b
Convert -134322 (base 8) to base 15.
-e044
2004 (base 14) to base 6
41232
Convert c9d (base 14) to base 16.
9bb
Convert -31313003 (base 4) to base 3.
-2212212122
48e (base 15) to base 14
53c
-23310 (base 9) to base 3
-210100100
What is 73050 (base 8) in base 11?
207a9
What is 204332 (base 5) in base 13?
3164
-514 (base 16) to base 13
-790
What is -10330 (base 5) in base 6?
-3151
What is 210112 (base 5) in base 6?
51551
-26d4 (base 15) to base 9
-12341
683 (base 9) to base 4
20301
-15133 (base 10) to base 5
-441013
-10300102 (base 4) to base 3
-222201021
Convert -1b1 (base 14) to base 7.
-1011
What is -210 (base 3) in base 2?
-10101
What is 2132 (base 9) in base 2?
11000100000
What is -11111100 (base 2) in base 13?
-165
84 (base 10) to base 13
66
493 (base 14) to base 15
40d
1201322 (base 4) to base 11
4787
What is -213213 (base 6) in base 4?
-10102221
2051 (base 7) to base 9
882
-3351 (base 6) to base 4
-30103
What is -240641 (base 8) in base 4?
-110012201
Convert 2a95 (base 14) to base 5.
220304
523 (base 9) to base 14
226
Convert 1b3 (base 14) to base 8.
541
What is 12549 (base 13) in base 3?
1201110010
What is -3857 (base 13) in base 6?
-101035
1a680 (base 11) to base 2
111000001011101
Convert -1534 (base 9) to base 16.
-48d
What is 301a (base 11) in base 3?
12111200
7b21 (base 16) to base 7
160620
What is -2b3b (base 12) in base 3?
-20222102
3616 (base 12) to base 10
6066
-172602 (base 8) to base 7
-351144
What is -251a (base 13) in base 10?
-5262
What is -743 (base 13) in base 11?
-a26
Convert 11100000101111 (base 2) to base 6.
150331
29a19 (base 11) to base 3
2011021202
102121002 (base 3) to base 12
4a85
-251 (base 9) to base 6
-544
101011111111 (base 2) to base 12
1767
Convert -112154 (base 6) to base 7.
-36625
What is -2330 (base 5) in base 13?
-202
What is 2020033 (base 4) in base 14?
326b
What is 61602 (base 8) in base 16?
6382
What is -22215 (base 8) in base 15?
-2b8c
768b (base 14) to base 7
113534
-4289 (base 10) to base 8
-10301
Convert -221003 (base 5) to base 3.
-101110112
What is 1210 (base 6) in base 13?
198
Convert 2031101 (base 4) to base 13.
4166
Convert 366 (base 8) to base 16.
f6
What is -328 (base 9) in base 10?
-269
What is 102010 (base 3) in base 7?
606
What is -708 (base 12) in base 6?
-4412
-406 (base 7) to base 8
-312
What is 100000 (base 4) in base 7?
2662
Convert -10011101110 (base 2) to base 10.
-1262
What is 9a65 (base 12) in base 11?
11908
3 (base 12) to base 6
3
Convert -11b5 (base 13) to base 7.
-10221
What is 6b6 (base 14) in base 11?
1005
What is 5034 (base 7) in base 3?
2101110
What is -2487 (base 9) in base 14?
-96d
What is -3512 (base 7) in base 16?
-503
What is 1500 (base 12) in base 4?
212100
What is a13 (base 15) in base 7?
6420
-18004 (base 9) to base 6
-133221
What is 11235 (base 9) in base 12?
43b8
10112102022 (base 3) to base 12
34308
What is -340 (base 14) in base 9?
-785
What is -2700 (base 15) in base 6?
-102313
What is 824b (base 16) in base 7?
166150
Convert -1031012 (base 4) to base 11.
-3786
Convert -21220 (base 4) to base 16.
-268
a3a (base 12) to base 10
1486
What is 9f (base 16) in base 15?
a9
What is 11896 (base 11) in base 14?
62d7
Convert -28dd (base 16) to base 15.
-3176
4cc6 (base 13) to base 3
120001121
What is 7502 (base 11) in base 6?
113540
Convert -28638 (base 10) to base 9.
-43250
Convert 1571 (base 11) to base 6.
13154
-21bc (base 16) to base 13
-3c14
-9429 (base 11) to base 8
-30316
15050 (base 8) to base 14
2624
What is -21ba (base 12) in base 7?
-13624
Convert 13d (base 16) to base 4.
10331
3772 (base 9) to base 14
1055
-13215 (base 8) to base 5
-141043
-1001110111010110 (base 2) to base 15
-be8b
What is -233412 (base 6) in base 11?
-14230
827 (base 10) to base 13
4b8
What is 22a3 (base 13) in base 3?
20200012
What is -43b7 (base 13) in base 10?
-9445
Convert 79 (base 10) to base 14.
59
What is 240210 (base 7) in base 15?
cc83
-903 (base 12) to base 8
-2423
Convert 23239 (base 10) to base 15.
6
|
{
"pile_set_name": "DM Mathematics"
}
|
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number?
True
Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number?
True
Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number?
False
Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite?
False
Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number?
True
Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime?
True
Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number?
True
Let p = 410 + -227. Is p prime?
False
Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime?
False
Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number?
True
Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime?
True
Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime?
True
Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number?
True
Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime?
False
Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number?
True
Let b(t) = -81*t + 16. Is b(-7) a composite number?
True
Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number?
False
Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime?
True
Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite?
False
Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime?
False
Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite?
False
Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number?
False
Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number?
True
Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite?
False
Let i = -26 - -146. Is (2 - (2 + -1)) + i composite?
True
Let q = -31 + 384. Is q a prime number?
True
Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime?
True
Suppose -2*h + 877 = -477. Is h a prime number?
True
Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number?
False
Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite?
False
Suppose -2095 = -3*v - 94. Is v a composite number?
True
Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number?
False
Suppose -4*w = -w - 1749. Is w a composite number?
True
Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number?
True
Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number?
True
Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number?
False
Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number?
True
Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number?
False
Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number?
True
Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime?
True
Let j(a) = -17*a + 4. Is j(-7) a composite number?
True
Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite?
True
Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime?
False
Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite?
True
Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime?
True
Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite?
False
Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number?
True
Suppose u - 609 = -128. Is u a prime number?
False
Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number?
True
Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite?
True
Let n = 10 - -34. Let r = 81 - n. Is r composite?
False
Let c = 135 - -312.
|
{
"pile_set_name": "DM Mathematics"
}
|
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7.
4
Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12.
11
Calculate the remainder when (6/24)/(1/104) is divided by 21.
5
Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the remainder when t(v) is divided by 13?
11
Let a(f) = 10 + 9*f - 14*f + 6*f. Suppose 28 = 4*c - 0*c - 5*o, -c - 18 = 5*o. What is the remainder when a(-6) is divided by c?
0
Suppose -4*y + p = 12 - 30, -3*p + 1 = -y. Suppose 147 = -0*j + 7*j. What is the remainder when j is divided by 2/(-1) - (y + -13)?
3
Suppose -2*a = 4*u + 10 - 28, -4*u = 5*a - 21. Let n be a + -1 + -1 - -1. Calculate the remainder when 87 is divided by (1 + n)/(4/88).
21
Suppose -66*o + 56*o = -1290. Calculate the remainder when 500 is divided by o.
113
Suppose -24*n + 780 = 2*n. Let s(l) = l**3 + 3*l**2 - 3*l + 3. What is the remainder when n is divided by s(-3)?
6
Suppose 0 = 4*n + 5*p - 67, -4*n - 29 = 2*p - 111. What is the remainder when 344 is divided by n?
22
Let r(s) = -s**2 - 21*s - 3. Calculate the remainder when 30 is divided by r(-20).
13
Suppose 93*c - 91*c = -36. Let n = c - -83. Calculate the remainder when n is divided by 19.
8
Let g = -15 + -7. Let u = 100 + -61. Let z = g + u. Calculate the remainder when 49 is divided by z.
15
Suppose -5*j = -15, -2*j + 63 + 75 = 3*v. What is the remainder when 300 is divided by v?
36
Calculate the remainder when 173 is divided by (-1*1 + 47)*(58 - 57).
35
What is the remainder when 16 is divided by (-299)/184*(33/(-3) + 3)?
3
Let s(u) be the first derivative of u**4/2 + u**3 - u**2/2 - 7*u + 4. What is the remainder when s(3) is divided by 37?
34
Let o(g) = g**2 + 7*g + 22. What is the remainder when 36 is divided by o(-6)?
4
What is the remainder when 21 is divided by (10 + -3)*(-40)/(-35)?
5
Suppose 3175*l = 3188*l - 143. Let b(w) = 2*w - 3. Calculate the remainder when l is divided by b(3).
2
Let s be (-5)/5 + 1*-16. Let j = 15 + s. Calculate the remainder when 7 is divided by 32/(-20)*5/j.
3
Let h(a) = a**3 - 2*a**2 - 17*a + 21. Suppose -2*l + 54 = y + 3*y, -y + 39 = 2*l. Calculate the remainder when h(6) is divided by l.
12
Let g(a) = a**3 + 6*a**2 - 5*a + 4. Suppose -10*i + 1344 = 5*b - 7*i, 0 = b + 3*i - 276. What is the remainder when b is divided by g(-5)?
51
Let n = 31 - 17. Let u(o) = 5*o**2 + 3. Let k be u(6). Let y = k + -115. Calculate the remainder when y is divided by n.
12
Let t(k) = -25*k**3 - 3 + 4*k - 10*k**2 - 4 + 24*k**3. Let l be t(-11). Let j = -31 + l. What is the remainder when j is divided by 14?
11
Suppose -4*k + 933 = 3*t, -7*t - 3*k = -11*t + 1219. What is the remainder when t is divided by 77?
76
Let o = -18 + 46. What is the remainder when 95 is divided by o?
11
Suppose -5*k - 65 = 3*y + 104, 4*k = 2*y + 76. Let p = 84 + y. Calculate the remainder when (8 - p)/((-2)/4) is divided by 19.
18
Let b(v) = -30*v - 49. Let d(l) = -20*l - 33. Let q(w) = -5*b(w) + 8*d(w). Suppose 3*c + 4*c = -42. Calculate the remainder when q(c) is divided by 11.
8
Let t = 63 - 20. Let q(b) = b**3 + 17*b**2 + 9*b + 12. What is the remainder when q(-16) is divided by t?
38
What is the remainder when 9/(-9 + 9144/1014) is divided by 10?
7
Suppose m - 535 - 99 = 0. Suppose 15*t + 918 = 49*t. Calculate the remainder when m/6 - 3/(-9) is divided by t.
25
Suppose 0 = -4837*b + 4829*b + 208. What is the remainder when 519 is divided by b?
25
Let a be (12/7)/((-4)/(-14)). Suppose 3*t = a*t - 3, 2*p = -4*t + 24. Calculate the remainder when 37 is divided by p.
7
Suppose 2*x + 5 + 3 = 0. Let h = 19 - 2. What is the remainder when h is divided by (-9)/(-1 + 2/x)?
5
Suppose q = -4 + 1. Let c(p) = 3*p**2 + 5*p + 2. Let m(z) = 4*z + 165. What is the remainder when m(-35) is divided by c(q)?
11
Let q be (-30)/25*(-10)/4. What is the remainder when (-18)/(-6 - (-85)/15) is divided by q/(9/42) - 0?
12
Suppose n - 18 = -5*r + 33, 5*r = -2*n + 52. Calculate the remainder when 39 is divided by r.
9
Let w(x) = -3*x - 49. Let q(j) = -7*j - 99. Let a(b) = 2*q(b) - 5*w(b). Let d(u) = 2*u**2 - u - 3. Calculate the remainder when a(12) is divided by d(3).
11
What is the remainder when 302 is divided by (12/10)/((-2)/(-85))?
47
Let t(d) = 5*d**3 - 2*d - 1. Let l be t(-1). Suppose 4*n + 8941 = 8993. Calculate the remainder when (-183)/l - 4/(-16) is divided by n.
7
Suppose -18*z = -730 - 728. Calculate the remainder when 221 is divided by z.
59
Let r = -88 + 128. Suppose o + t - r = 0, -13 = 3*o - t - 129. Let u(z) = z**3 - 7*z**2 + 2*z - 3. What is the remainder when o is divided by u(7)?
6
Let k be (2/4)/((-4)/(-240)). Calculate the remainder when -4 - (-6)/(k/175) is divided by 16.
15
Let v(d) = 2*d + 2. Let t be 140/44 - 4/22. Let n = 61 + -46. What is the remainder when n is divided by v(t)?
7
What is the remainder when 41396/474*18/4 is divided by 57?
51
Let k(f) be the first derivative of 3*f**2/2 + 3*f + 1. Let r = 397 - 392. Calculate the remainder when k(7) is divided by r.
4
Let z(w) = 7*w + 5. Let q(t) = -t - 1. Let v(m) = 4*q(m) + z(m). Suppose 2*u - 67 = 9. What is the remainder when u is divided by v(4)?
12
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
93
What comes next: -76882, -153768, -230654, -307540, -384426, -461312?
-538198
What is next in -13, -66, -153, -274, -429?
-618
What is the next term in -641, -934, -1227, -1520?
-1813
What is the next term in -338, -558, -1154, -2312, -4218, -7058, -11018?
-16284
What is the next term in 173, 261, 267, 191, 33, -207?
-529
What comes next: -243883, -487767, -731651, -975535, -1219419?
-1463303
What is next in -865, -1986, -3111, -4240?
-5373
What is the next term in -8788, -8827, -8936, -9151, -9508, -10043?
-10792
What is the next term in -2525, -5766, -9007, -12248, -15489, -18730?
-21971
What comes next: -176036, -352090, -528144, -704198, -880252, -1056306?
-1232360
What comes next: 39, 90, 153, 228, 315, 414, 525?
648
What is the next term in -171, -249, -369, -525, -711, -921, -1149?
-1389
What is next in -65, -254, -683, -1472, -2741, -4610?
-7199
What comes next: 219915, 439830, 659745, 879660?
1099575
What is next in 101325, 202657, 303993, 405333, 506677, 608025, 709377?
810733
What is next in 339, 627, 831, 909, 819, 519, -33, -879?
-2061
What is the next term in 1161, 4644, 10441, 18546, 28953, 41656, 56649?
73926
What is next in 2098, 2036, 1934, 1792, 1610?
1388
What is next in 16768, 33560, 50352, 67144, 83936, 100728?
117520
What comes next: -1104, -2206, -3300, -4386, -5464, -6534, -7596?
-8650
What is the next term in -108, -213, -320, -429?
-540
What is next in 101398, 101396, 101394, 101392, 101390?
101388
What comes next: -139075, -139069, -139061, -139051, -139039, -139025, -139009?
-138991
What is the next term in 11846, 23679, 35512?
47345
What is next in 175, 458, 845, 1330, 1907, 2570?
3313
What is the next term in -3843, -15342, -34499, -61308, -95763, -137858, -187587?
-244944
What is the next term in 244, 842, 1466, 2116, 2792, 3494?
4222
What is next in -2345, -4731, -7119, -9509, -11901, -14295, -16691?
-19089
What comes next: -322, -640, -958, -1276?
-1594
What comes next: -29, -218, -741, -1766, -3461, -5994, -9533?
-14246
What is the next term in -3870, -3899, -3928?
-3957
What is the next term in 1276551, 1276553, 1276555, 1276557?
1276559
What is the next term in -3231, -6485, -9739, -12993, -16247?
-19501
What comes next: -1329, -1500, -1671, -1842?
-2013
What comes next: 2464, 4356, 6248, 8140?
10032
What is the next term in 48207, 96425, 144643?
192861
What is the next term in -211584, -423171, -634758, -846345?
-1057932
What comes next: -4213, -8418, -12625, -16834?
-21045
What comes next: -872, -1763, -2658, -3557, -4460, -5367?
-6278
What comes next: -935, -1781, -2641, -3521, -4427, -5365, -6341, -7361?
-8431
What is the next term in 6944, 13886, 20852, 27854, 34904, 42014?
49196
What is next in -52470, -52475, -52484, -52497?
-52514
What is next in 3066, 3125, 3280, 3579, 4070, 4801?
5820
What comes next: -6115, -12237, -18363, -24493?
-30627
What comes next: 135506, 271018, 406528, 542030, 677518, 812986?
948428
What is next in 393, 533, 673?
813
What is next in -94923, -94935, -94955, -94983, -95019, -95063, -95115?
-95175
What is the next term in -11095, -11141, -11187, -11233, -11279?
-11325
What is the next term in -2972813, -5945625, -8918437?
-11891249
What is next in -12763, -12762, -12761, -12760, -12759?
-12758
What comes next: 1628, 3500, 5826, 8834, 12752?
17808
What is the next term in 5814, 5806, 5798, 5790, 5782?
5774
What is next in -5127, -5187, -5247, -5307, -5367, -5427?
-5487
What is next in 20030, 40056, 60086, 80120, 100158?
120200
What is next in 938, 637, 336, 35?
-266
What is the next term in 26977, 26994, 27009, 27022?
27033
What comes next: -55, -59, -57, -43, -11, 45, 131, 253?
417
What is next in -76911, -76917, -76933, -76965, -77019?
-77101
What comes next: 1008, 3969, 8906, 15819, 24708, 35573?
48414
What is the next term in -193, -373, -545, -709, -865, -1013, -1153?
-1285
What is the next term in -5974, -5959, -5934, -5893, -5830?
-5739
What comes next: -2676, -5443, -8210, -10977?
-13744
What is the next term in 185, 444, 703, 962, 1221, 1480?
1739
What is the next term in 154, 238, 346, 478, 634, 814, 1018?
1246
What is next in -18153, -18197, -18241, -18285?
-18329
What comes next: -532, -488, -354, -82, 376, 1068, 2042?
3346
What is next in 1373, 2745, 4133, 5543, 6981?
8453
What is next in -17334, -17434, -17532, -17628, -17722, -17814, -17904?
-17992
What comes next: 382803, 765604, 1148405?
1531206
What is next in -174152, -348306, -522460, -696614?
-870768
What is next in 1951, 3897, 5837, 7771?
9699
What is next in 84771, 169559, 254347, 339135?
423923
What is the next term in 18011, 36023, 54035?
72047
What comes next:
|
{
"pile_set_name": "DM Mathematics"
}
|
g'th term of 1000, 1024, 1086, 1204, 1396?
3*g**3 + g**2 + 996
What is the w'th term of -46, -158, -346, -610?
-38*w**2 + 2*w - 10
What is the f'th term of 199, 814, 1839, 3274, 5119, 7374, 10039?
205*f**2 - 6
What is the a'th term of -206, -428, -650?
-222*a + 16
What is the q'th term of -326, -318, -308, -296?
q**2 + 5*q - 332
What is the g'th term of -2168, -2160, -2152, -2144?
8*g - 2176
What is the f'th term of -643, -641, -639?
2*f - 645
What is the s'th term of -9, -26, -63, -126, -221, -354?
-s**3 - 4*s**2 + 2*s - 6
What is the h'th term of -60, -58, -56, -54, -52?
2*h - 62
What is the y'th term of -23, -83, -177, -305, -467?
-17*y**2 - 9*y + 3
What is the z'th term of 85, 84, 83, 82?
-z + 86
What is the n'th term of -7, -38, -119, -274, -527, -902?
-4*n**3 - n**2 - 2
What is the i'th term of 77, 158, 239?
81*i - 4
What is the c'th term of -91, -94, -97, -100?
-3*c - 88
What is the k'th term of 1047, 2092, 3137, 4182?
1045*k + 2
What is the z'th term of -16, -19, -10, 17, 68?
z**3 - 10*z - 7
What is the s'th term of -18, -19, -20, -21?
-s - 17
What is the t'th term of 7139, 7140, 7141?
t + 7138
What is the p'th term of 167, 159, 137, 95, 27, -73, -211, -393?
-p**3 - p**2 + 2*p + 167
What is the f'th term of -107, -189, -267, -341?
2*f**2 - 88*f - 21
What is the f'th term of 17, 59, 101?
42*f - 25
What is the d'th term of -205, -406, -607?
-201*d - 4
What is the i'th term of -19430, -19437, -19448, -19463, -19482, -19505?
-2*i**2 - i - 19427
What is the c'th term of 10, 16, 20, 22, 22?
-c**2 + 9*c + 2
What is the h'th term of -9, -77, -187, -339, -533?
-21*h**2 - 5*h + 17
What is the j'th term of 1087, 1086, 1085, 1084?
-j + 1088
What is the f'th term of -2, -6, -8, -8, -6?
f**2 - 7*f + 4
What is the o'th term of -978, -977, -976, -975, -974?
o - 979
What is the p'th term of 1016, 2035, 3054?
1019*p - 3
What is the s'th term of -3030, -3028, -3026, -3024?
2*s - 3032
What is the z'th term of 8173, 8175, 8177, 8179?
2*z + 8171
What is the q'th term of -352, -354, -360, -370, -384, -402, -424?
-2*q**2 + 4*q - 354
What is the k'th term of 9, -2, -13, -24, -35, -46?
-11*k + 20
What is the y'th term of 83, 178, 273, 368?
95*y - 12
What is the u'th term of 207, 417, 627, 837?
210*u - 3
What is the l'th term of 754, 748, 732, 700, 646, 564?
-l**3 + l**2 - 2*l + 756
What is the r'th term of 858, 1709, 2548, 3369, 4166, 4933, 5664, 6353?
-r**3 + 858*r + 1
What is the l'th term of 10, 88, 170, 256, 346?
2*l**2 + 72*l - 64
What is the n'th term of -11, -29, -47, -65, -83, -101?
-18*n + 7
What is the d'th term of -5, -1, 43, 157, 371, 715, 1219?
5*d**3 - 10*d**2 - d + 1
What is the g'th term of 488, 970, 1452, 1934, 2416, 2898?
482*g + 6
What is the a'th term of 49, 29, -17, -101, -235, -431?
-2*a**3 - a**2 - 3*a + 55
What is the i'th term of 44, 19, -44, -163, -356, -641, -1036?
-3*i**3 - i**2 - i + 49
What is the s'th term of -194, -184, -160, -116, -46, 56, 196?
s**3 + s**2 - 196
What is the a'th term of -677, -705, -759, -845, -969, -1137, -1355?
-a**3 - 7*a**2 - 669
What is the p'th term of -24695, -24697, -24701, -24707?
-p**2 + p - 24695
What is the v'th term of -84, -277, -576, -975, -1468?
v**3 - 59*v**2 - 23*v - 3
What is the j'th term of 49, 104, 161, 220, 281, 344?
j**2 + 52*j - 4
What is the m'th term of 227, 224, 225, 236, 263, 312, 389, 500?
m**3 - 4*m**2 + 2*m + 228
What is the n'th term of -331, -294, -257, -220?
37*n - 368
What is the w'th term of 385, 374, 339, 268, 149, -30, -281?
-2*w**3 + 3*w + 384
What is the m'th term of 35, 42, 47, 50?
-m**2 + 10*m + 26
What is the p'th term of 45, 83, 117, 147, 173?
-2*p**2 + 44*p + 3
What is the t'th term of -4, 3, 22, 59, 120, 211?
t**3 - 5
What is the t'th term of -108, -134, -166, -198, -224, -238, -234?
t**3 - 9*t**2 - 6*t - 94
What is the t'th term of -153, -152, -151, -150, -149, -148?
t - 154
What is the y'th term of -1, -6, -13, -22?
-y**2 - 2*y + 2
What is the s'th term of -1977, -1979, -1981, -1983, -1985?
-2*s - 1975
What is the n'th term of 8, 78, 260, 608, 1176, 2018?
9*n**3 + 2*n**2 + n - 4
What is the o'th term of -7, 9, 55, 149, 309?
3*o**3 - 3*o**2 + 4*o - 11
What is the a'th term of 8168, 8166, 8164, 8162, 8160?
-2*a + 8170
What is the b'th term of 310, 307, 304, 301, 298,
|
{
"pile_set_name": "DM Mathematics"
}
|
**2. Let t be m(8). Is (81 - t) + (-1 - 1) composite?
False
Let j(z) = -z**3 - 8*z**2 - 9*z + 7. Suppose 2*m + 0*r = -5*r - 9, 3*r = 3. Is j(m) prime?
False
Let k(b) = 6*b**2 - 51*b + 34. Is k(-23) a composite number?
True
Let v(t) = t - 1. Let q be v(6). Suppose 3*a - d + 6*d - 72 = 0, 0 = -5*a + q*d + 80. Is a a composite number?
False
Let w = -99 - -149. Let v(f) = 2*f + 18. Let c be v(-8). Suppose 4*g + 2*d = w + 306, 0 = c*g + 4*d - 178. Is g composite?
False
Suppose -8*m + 3*m = 0. Suppose m = -z - z + 628. Is z prime?
False
Is 4*-5613*(-6)/72 a prime number?
True
Suppose -i + 2 = r, 4*i + 5*r - 11 = 1. Let u = 4 + i. Suppose -5*s + 5*q + 70 = 0, u*s - 3*q + 5 = 28. Is s a prime number?
True
Let x(v) = -25*v**2 + v + 1. Let r(j) = -14*j**2 + 1. Let i be r(1). Let m(g) = -49*g**2 + 2*g + 2. Let y(s) = i*x(s) + 6*m(s). Is y(-1) composite?
False
Suppose -5*j = -3*j - 2. Let v be j/2*(-8 - -8). Let p = 23 - v. Is p a prime number?
True
Let u = 183 - -148. Is u a composite number?
False
Let q(p) = -2*p - 12. Let z be q(-9). Let s be (-2)/((z/3)/(-2)). Suppose -r + n - s*n + 155 = 0, -5*r = 3*n - 779. Is r composite?
False
Let y(x) = 170*x**2 - 3*x + 5. Is y(2) a composite number?
True
Let u(a) be the first derivative of -7*a**2 - 1. Let b be u(-3). Suppose -3*k = j + 2*k - b, -j - k + 46 = 0. Is j a composite number?
False
Is (-44450)/(-20) + (3/(-2))/1 prime?
True
Suppose 3*b - 5*y + 33 = 0, b - 4*y = -7*y + 3. Let d be (-8)/6*27/b. Is d/24 - (-118)/8 a composite number?
True
Let r(z) be the second derivative of 17*z**4/12 - z**3/6 - z**2/2 + 5*z. Is r(5) composite?
False
Let z be (-2)/6*-3 - -104. Let u = -147 + z. Is (-13)/(2*3/u) prime?
False
Is 276/20 - 2/(-10) prime?
False
Let k be (-9)/(-15) + 11319/35. Let o = -150 - 59. Let i = o + k. Is i a prime number?
False
Let h(d) = -55*d**3 - d**2 - 4*d + 1. Is h(-2) composite?
True
Let n(v) = v**2 + 5*v + 3. Is n(5) a prime number?
True
Let d be (-6)/9 + (-1736)/(-3). Suppose r - 3*r = -4, d = -4*f - 3*r. Is -3 - (3 - 3) - f composite?
True
Let o(c) = 37*c**2 - c - 1. Is o(-2) a composite number?
False
Let k(f) = -4*f - 8. Let v be k(9). Suppose 0 = -b + r - 16, 2*b = -3*b - 3*r - 56. Let i = b - v. Is i prime?
True
Let v(z) = z - 1. Let m be v(3). Is (3/m)/(3/422) composite?
False
Let n(z) be the third derivative of 17*z**7/360 + z**6/720 + z**5/120 + z**4/12 + z**2. Let r(w) be the second derivative of n(w). Is r(-1) composite?
True
Let v(n) = -n**3 + 3*n**2 - 2*n + 3. Let t be v(2). Suppose 0*u = -t*u + 18. Suppose -u*o + 220 = -2*o. Is o prime?
False
Suppose -z + 1 = 2, -5*x - 5*z + 35 = 0. Let v(i) = 2*i - 9. Is v(x) a composite number?
False
Let n(i) be the second derivative of i**5/20 - 5*i**4/12 + i**3/3 - 7*i**2/2 + i. Let x be n(6). Is 2 - (-3 + 2)*x a composite number?
False
Let n(v) be the second derivative of 11*v**5/20 - v**4/12 - v**3/2 + v**2/2 + 5*v. Is n(2) prime?
True
Let q(t) = 17*t**3 + 2*t**2 + 3*t + 4. Let r be q(-3). Let b = 13 - r. Suppose -p = -4*s + 4*p + b, -p + 489 = 4*s. Is s a prime number?
False
Suppose 5*o = -5*l + 10865, 5*l = 5*o + 6*l - 10881. Is o composite?
True
Let p = -9 + 8. Let h(b) = b**2 + b - 6. Let u be h(0). Is p/(u/(-26))*-3 a composite number?
False
Let v(m) = m**3 + 9*m**2 + 9*m + 6. Let n be v(-8). Let o(k) = k**3 + 2*k**2 + 2. Let w be o(n). Is 1 + -1 - (-33 + w) a prime number?
True
Let g(f) = -3 + 2 - 9*f + 13*f. Is g(2) prime?
True
Suppose -171 = -3*b + 84. Is b a prime number?
False
Let u(g) = 3*g**3 + 4*g**2 - 4*g + 1. Let r(q) = 10*q**3 + 11*q**2 - 13*q + 3. Let k(v) = 2*r(v) - 7*u(v). Is k(-7) a prime number?
False
Let z = 9 + -7. Suppose 1730 = -0*t + z*t. Is t a prime number?
False
Let r = -49 + 18. Let n = 130 + -192. Let j = r - n. Is j prime?
True
Suppose 0 = 3*q - 701 - 16. Is q composite?
False
Let s be 30/8*200/10. Let w = 128 - s. Is w prime?
True
Suppose 0 = -6*t + t + 15. Suppose 2*g - 3*p - 3 = 0, g - 2*g - 12 = t*p. Is g/(3/(-13)) + -2 a composite number?
False
Is 1/(-4) + -6 + (-1211)/(-28) a prime number?
True
Suppose -3*n - 3*u = -30, 5*u - 17 = -4*n + 24. Let y(v) = -v**3 - v**2 + v - 2. Let q be y(0). Let w = q + n. Is w composite?
False
Let v = 105 - 68. Is v a prime number?
True
Is -59*4/2*46/(-4) composite?
True
Let u = 0 + 141. Is u composite?
True
Let p(q) = q**2 - 3*q + 3. Let l be p(2). Is -20*l/(8/(-22)) a composite number?
True
Let q = 14 + -7. Is q prime?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
, x: 4, t: 1}. Give prob of sequence qx.
2/33
Four letters picked without replacement from {y: 1, u: 2, k: 1, n: 2, l: 1}. Give prob of sequence knku.
0
What is prob of sequence zx when two letters picked without replacement from {c: 2, x: 1, z: 1}?
1/12
What is prob of sequence axxw when four letters picked without replacement from sxwwwsaxwaxwawaasa?
1/340
Three letters picked without replacement from ffffff. Give prob of sequence fff.
1
Three letters picked without replacement from {f: 5, l: 9, h: 2, s: 2}. What is prob of sequence ffs?
5/612
Calculate prob of sequence eq when two letters picked without replacement from eql.
1/6
Calculate prob of sequence xkr when three letters picked without replacement from kkrxr.
1/15
Two letters picked without replacement from jkjjjkzkjjzkz. What is prob of sequence jz?
3/26
Calculate prob of sequence ev when two letters picked without replacement from {e: 1, c: 1, v: 17}.
17/342
Calculate prob of sequence unro when four letters picked without replacement from onoroorouroorrfn.
1/624
Three letters picked without replacement from xikkikiikixkikixx. What is prob of sequence kxi?
7/170
Two letters picked without replacement from {t: 5, h: 5, x: 4}. Give prob of sequence ht.
25/182
What is prob of sequence lkij when four letters picked without replacement from {k: 2, i: 1, g: 4, j: 1, l: 1, d: 3}?
1/5940
What is prob of sequence dd when two letters picked without replacement from ccdcccccccccd?
1/78
Calculate prob of sequence mkk when three letters picked without replacement from mikkikikmkpvpkmkpv.
7/272
What is prob of sequence zrar when four letters picked without replacement from assrrzasaanrrrsa?
5/2184
What is prob of sequence kp when two letters picked without replacement from pyffk?
1/20
Four letters picked without replacement from {p: 3, c: 6, r: 6}. What is prob of sequence rprp?
1/182
Four letters picked without replacement from {r: 5, y: 9}. What is prob of sequence yyrr?
60/1001
What is prob of sequence aw when two letters picked without replacement from {v: 2, w: 2, x: 1, r: 2, g: 1, a: 1}?
1/36
What is prob of sequence hh when two letters picked without replacement from {p: 2, h: 7, v: 6}?
1/5
What is prob of sequence mrr when three letters picked without replacement from {m: 4, r: 7, b: 1, z: 8}?
7/285
Two letters picked without replacement from kjkvnzkkkkkkzkvkz. Give prob of sequence kj.
5/136
What is prob of sequence ll when two letters picked without replacement from {j: 6, l: 2}?
1/28
Calculate prob of sequence jjj when three letters picked without replacement from jjcjczzzczczz.
1/286
What is prob of sequence mz when two letters picked without replacement from vbbbzbmzomommvovmm?
2/51
Calculate prob of sequence ioo when three letters picked without replacement from {i: 2, o: 2}.
1/6
Calculate prob of sequence ev when two letters picked without replacement from {v: 5, e: 2}.
5/21
Three letters picked without replacement from {k: 1, e: 3, u: 2, x: 2, a: 4}. What is prob of sequence eux?
1/110
Two letters picked without replacement from onkkonknnynyondndkhk. Give prob of sequence kn.
7/76
What is prob of sequence ffpf when four letters picked without replacement from {p: 2, f: 6}?
1/7
Four letters picked without replacement from wxwwxwxxxtwwwxwxwwx. What is prob of sequence wxwx?
35/646
Calculate prob of sequence xxc when three letters picked without replacement from xhhhchx.
1/105
Two letters picked without replacement from {r: 3, i: 1, e: 6, s: 1, d: 2}. What is prob of sequence er?
3/26
Four letters picked without replacement from {e: 2, r: 3, h: 8, s: 2, d: 1, x: 1}. Give prob of sequence drxh.
1/2380
What is prob of sequence fomo when four letters picked without replacement from {f: 2, o: 8, m: 2}?
28/1485
Calculate prob of sequence sqa when three letters picked without replacement from {q: 1, s: 1, a: 1}.
1/6
What is prob of sequence zf when two letters picked without replacement from {a: 11, z: 2, f: 1}?
1/91
What is prob of sequence rd when two letters picked without replacement from {d: 1, q: 7, h: 2, r: 1, t: 5}?
1/240
Calculate prob of sequence osss when four letters picked without replacement from ooosfosfssososssas.
7/170
Two letters picked without replacement from aavaaavaaaaa. Give prob of sequence vv.
1/66
Calculate prob of sequence nngn when four letters picked without replacement from nngngnnnnnngngnnnn.
91/765
Three letters picked without replacement from {q: 3, f: 15}. Give prob of sequence qfq.
5/272
Calculate prob of sequence vjh when three letters picked without replacement from vvhovovhgnvvvhvj.
1/140
Calculate prob of sequence zz when two letters picked without replacement from {z: 4, i: 3}.
2/7
Four letters picked without replacement from aaaaaoaoaoaaaaooao. What is prob of sequence aoaa?
11/102
Three letters picked without replacement from {j: 3, e: 4, t: 2, i: 1, z: 4}. Give prob of sequence jie.
1/182
Two letters picked without replacement from {w: 10, c: 8, l: 1}. What is prob of sequence cc?
28/171
Three letters picked without replacement from rsrazllv. What is prob of sequence asl?
1/168
Three letters picked without replacement from {k: 2, z: 8}. What is prob of sequence zzk?
7/45
Calculate prob of sequence gkk when three letters picked without replacement from kkkkkkkkkkkmgkk.
2/35
Two letters picked without replacement from ttttttttdtddtttttdtd. Give prob of sequence td.
15/76
Two letters picked without replacement from ngngdqk. Give prob of sequence qn.
1/21
What is prob of sequence uih when three letters picked without replacement from {u: 2, i: 7, h: 1}?
7/360
Four letters picked without replacement from {t: 3, h: 1, g: 3, s: 3, o: 1, a: 2}. What is prob of sequence gosa?
3/2860
What is prob of sequence qqll when four letters picked without replacement from qqqqqqqqlqqqlqql?
3/140
What is prob of sequence yjyy when four letters picked without replacement from {y: 8, w: 3, j: 6}?
3/85
What is prob of sequence hz when two letters picked without replacement from {h: 3, z: 5, n: 1, m: 6, c: 3}?
5/102
Three letters picked without replacement from pmmpmmmmmmmmmmmmmmmm. Give prob of sequence ppm.
1/190
Three letters picked without replacement from ssxkkks. Give prob of sequence xks.
3/70
What is prob of sequence cb when two letters picked without replacement from fabbppccv?
1/18
Four letters picked without replacement from tttttqqtqt. What is prob of sequence qqtt?
1/20
What is prob of sequence gh when two letters picked without replacement from phggghhhp?
1/6
What is prob of sequence ei when two letters picked without replacement from eooieeoooiiioooo?
1/20
Calculate prob of sequence ttvv when four letters picked without replacement from {v: 10, t: 9}.
45/646
Four letters picked without replacement from iiqtitiittixi. Give prob of sequence itit.
21/715
Three letters picked without replacement from cwaw. Give prob of sequence acw.
1/12
What is prob of sequence aaa when three letters picked without replacement from {r:
|
{
"pile_set_name": "DM Mathematics"
}
|
(9/(-20)). Is d <= -3?
False
Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal?
True
Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l?
False
Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w?
-0.4
Let t = 20 + -31. Let a = -9 - t. Let f = 1393/15 - 93. Which is smaller: f or a?
f
Let c be (-2)/(-10) + 45/25. Let n(t) = -t**3 - 1 + 5 - 1 - 3*t**2 - t**c. Let d be n(-4). Which is smaller: d or 0?
0
Suppose -5*a - 3 = 7, -4*v - 4*a = -76. Is 23 < v?
False
Let d(v) = -2*v**2 + 12*v - 4. Let s be d(5). Suppose 4*c + 1 = -w, s = -4*w - c + 2. Is -2/9 at most as big as w?
False
Suppose -3*v - 5*j = 21, 0*v + 3*j = -4*v - 17. Let m = -253 - -254. Which is bigger: m or v?
m
Let b = -2355 + 167202/71. Which is smaller: b or 1?
b
Let r be (-3)/(-12)*20/235. Let v be (-2)/94*(-103)/(-9). Let k = v + r. Are 0 and k non-equal?
True
Let y(o) = -o + 9. Let w be y(8). Let v = -7 - -7.1. Is w < v?
False
Let x(d) = d - 7. Let w be x(0). Which is bigger: w or 1/4?
1/4
Let x be (1 + -1)*2/4. Let s = 2/235 - 713/940. Is x equal to s?
False
Suppose 3*r - 150 = -2*r. Let f be 5/r*3*-1. Which is greater: 1 or f?
1
Let p(i) = -i + 25. Let w be p(11). Suppose -3*b - w = -11. Which is smaller: 2/27 or b?
b
Let p = -2 + 7. Suppose 6 = p*u + 1. Is 2 less than or equal to u?
False
Suppose -5*u - 67 = -4*s, 0*s + 5*u + 21 = 2*s. Is 23 != s?
False
Let p = -1 - 0. Let u = p + 2. Let n = -0.2 + 0.1. Is u greater than n?
True
Suppose -4*g = -11 - 17. Suppose -g*p = -4*p. Do p and -2/11 have the same value?
False
Suppose 0 = -3*v + 12 - 3. Let x = -3 + v. Let p be (2 + -3)*(0 - (-8)/(-92)). Which is smaller: x or p?
x
Let f = 3/25 + 2/25. Do -0.2 and f have the same value?
False
Let q = 17 + -9. Suppose 4*l = q*l. Is l bigger than -2/9?
True
Suppose -6*l + 2*l = 0. Let z = -2 - l. Which is bigger: z or -1?
-1
Let d(y) be the second derivative of -y**5/20 + y**4/2 - 5*y**3/6 - 3*y**2 - 2*y. Let w be d(5). Which is smaller: w or -5?
w
Let q = -1709/972 + 2/243. Let r = q - -45/28. Suppose 0 = -a + 4 - 3. Which is greater: r or a?
a
Suppose -2*r = -5*r. Let o be 3 + -5 + (r - -1). Suppose 3*f = 5*n - 8, -n = -5*f - 0*n - 6. Is f at least as big as o?
True
Let a(c) = c**2 - 2*c - 2. Suppose 8*z - 9 = 5*z. Let v be a(z). Is 0.1 at least as big as v?
False
Let b = 74 - 66. Is 8 <= b?
True
Let d(v) = v**2 - 8*v - 3. Let y be d(8). Let b(p) = -3*p - 23. Let h be b(-7). Is h bigger than y?
True
Suppose -3*p - 2*c - 4 = 2*c, 2*p = -4*c - 8. Suppose -2*v + 4 = 2*v - p*n, v - 5*n = -3. Which is smaller: 3/5 or v?
3/5
Suppose i - s = 6, -i + 3*s + 13 = -3*i. Is i at least as big as 1?
True
Let q = 11 - 17. Let g = q + 6. Let w be (-50)/(-126) + 4/(-14). Is g > w?
False
Let y(s) = s + 8. Let n be y(-4). Suppose -2*r = n + 6. Let f be (6/r)/((-18)/(-20)). Which is smaller: -2 or f?
-2
Let x = 6 - 6. Let o(v) = v**3 - 5*v**2 - 6*v - 3. Let p be o(6). Let c be 3/(-5) - (2 + p). Which is smaller: c or x?
x
Let n = -14 - -16. Suppose -5 = n*w - 7*w. Which is smaller: -2/11 or w?
-2/11
Suppose 2*m - 641 = -4*j - 19, j + 5*m = 133. Let u be 3 + -2*j/108. Is 1 at least as big as u?
True
Let w = 9 + -18. Suppose 2*f - 18 = -f. Let v be (-50)/f + 6/w. Is -8 > v?
True
Suppose 0*r = 4*r. Suppose r*k - 5*k = -15. Let s = 0 - 0. Which is greater: s or k?
k
Let l(b) = -2*b - 4. Let u be l(-7). Suppose 2*a = 2*i - a + 32, 0 = -5*a + 20. Let w = u + i. Is -2/5 at most as big as w?
True
Let h be (-2)/(-8) + -2*(-39)/(-696). Which is bigger: h or 0?
h
Let x = -838/3 - -281. Let i(m) = -m - 2. Let g be i(-3). Are x and g unequal?
True
Suppose 0 = 5*p + u + 2, 4*p - 2*u - 8 = 2*u. Which is bigger: 3 or p?
3
Let g = -1.96 + 0.96. Are -17 and g equal?
False
Let k = -11.1 - -11. Is k <= 17?
True
Let b be 4/10 - (-1)/10. Is 2 equal to b?
False
Let a be 4/6 - 159/171. Let i = 73/133 + a. Which is smaller: 1 or i?
i
Suppose -2*k - 3 = -1. Let t be (k - 1) + (6 - 4). Is 0 > t?
False
Let i = -135 - -123. Is i != -120/11?
True
Let v be (-38)/(-2) + (-18 - -14). Is v <= 16?
True
Let f(a) = -a**2 + 9*a - 10. Let t be f(7). Let q(b) = -b**3 + 2*b**2 + 4*b - 1. Let x be q(3). Is x equal to t?
False
Let q be (-2)/((-16)/(-10)) + 0. Which is smaller: q or 0.2?
q
Let t be -1 - (-8 + 2 + 0). Suppose 3*o - 2 = 4*v, t = -2*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
v a multiple of 24?
True
Let h = 68 - -4. Let d = h + -2. Is 5 a factor of d?
True
Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4?
False
Let p(f) = -2*f + 10*f**2 + f**3 + 9*f - 19*f - 11. Is p(-10) a multiple of 24?
False
Let o = 58 - 4. Suppose -57*w + 540 = -o*w. Does 19 divide w?
False
Suppose -k + 20 = -3*v, 2*k + 5*v + 30 = 3*k. Let w = -112 + 114. Suppose -l = -3*g + 35, w*g = -k*l + l + 28. Does 6 divide g?
True
Let g(k) = 107*k - 1530. Is g(22) even?
True
Is (-1 - 5)/((-32)/208) a multiple of 19?
False
Let u be (3 - (-2 + 1)) + 372. Suppose -9*h + u + 209 = 0. Is 6 a factor of h?
False
Let r be 62/6*21/14*18. Suppose 229 = 2*n - 5*u, -2*n + 5*u - r = -4*n. Does 13 divide n?
False
Suppose p + 4*p = 10. Suppose 0 = -2*x - p*k + 60, -2*x - 3*k + 39 = -18. Is 11 a factor of x?
True
Suppose 11*b - 6750 = -16*b. Does 50 divide b?
True
Does 3 divide -7 + (-160)/(-24) + 8224/12?
False
Suppose -n - 841 = -2*n + a, 6*a = -6. Is n a multiple of 56?
True
Suppose -65 - 160 = 3*i. Let g = -50 - i. Does 3 divide g?
False
Suppose 0 = 5*f - 2 + 17. Let y = f + 3. Suppose -q = 4*d - 26, 7*q - 3*q + 3*d - 65 = y. Does 8 divide q?
False
Suppose 1115 = 5*i - 2075. Is 22 a factor of i?
True
Suppose 4*z + 3*p - 15 = 0, -2*z + 3*p + 6 = z. Suppose 5*h - 8 = z*h. Suppose -321 = -h*k + k. Does 12 divide k?
False
Let s = -21 - -21. Let o(y) = 0*y**2 + 9 + 3*y**2 + 6 - 4*y**2. Is 15 a factor of o(s)?
True
Let t(o) = 12*o + 5. Let i(q) = -13*q - 6. Let a(j) = -3*i(j) - 4*t(j). Does 2 divide a(-1)?
False
Let g(m) be the second derivative of m**5/20 - 23*m**4/12 - 19*m**3/6 - 3*m**2/2 - 34*m. Is 6 a factor of g(24)?
False
Suppose 3*u - v = 945, 3*u + 8*v = 4*v + 930. Let k = -212 + u. Does 15 divide k?
False
Let g(h) = -43*h + 1. Let b be g(-1). Let k(r) = 10*r + 82. Let y be k(-8). Is y/11 + 388/b a multiple of 3?
True
Suppose a - j - 10 = 2*j, -4*j = -a + 11. Is 19 a factor of 130 + (-5 + a)/(-2)?
False
Let v be 172/10 - 3/15. Suppose 2*d - 3*t = 5, 4*d - 2*t = v + 13. Is d a multiple of 6?
False
Suppose 0*o + 3*o = 0. Suppose 5*b - 26 + 326 = o. Does 22 divide (-12)/b - 109/(-5)?
True
Suppose 0 = 5*q, y + 2*q - 14 = 20. Suppose -5*o = -334 + y. Is 16 a factor of o?
False
Let c = -191 + 483. Is c a multiple of 65?
False
Let i = 183 + -126. Suppose p + 4*c = -5, 3*c + 95 = 5*p - c. Suppose i = 4*g - p. Is g a multiple of 18?
True
Let b be (-128)/(-24) - (-1)/(-3). Suppose -5*x + 0*f + 4*f + 84 = 0, -b*x + 3*f = -83. Let p = x + 4. Is 5 a factor of p?
True
Suppose 119 = 5*v - 131. Suppose v = -f - f. Let d = f + 35. Is 5 a factor of d?
True
Suppose 4*g + 0*g = -5*u + 3816, 2*u - 3*g = 1531. Is u a multiple of 5?
False
Suppose -10*r = -2967 - 4733. Is r a multiple of 55?
True
Suppose -x + 23 = 2*s, -x - 3*s + 12 = -14. Suppose -p + x = f - 23, -f + 44 = 2*p. Does 12 divide f?
True
Let z(g) = -g**2 - 17*g - 19. Let n be z(-16). Let a(y) = 3*y**3 + y**2 - 4*y - 6. Let v be a(n). Is 11 a factor of 40/(-10) - v/2?
False
Let n(m) be the second derivative of 101*m**3/6 + 5*m**2/2 + 11*m. Let s be n(3). Suppose -7*j = -0*j - s. Does 15 divide j?
False
Is 33 a factor of (-24149)/(-82) - (-1)/2?
False
Let g(s) = -19*s**2 + 3*s - 3. Let l be g(3). Let n be (-58)/(-15) + (-22)/l. Suppose 5*b + 1 = -v, 2*v - 16 = -n*b - 0*b. Is v a multiple of 7?
True
Suppose -y - 187 = -947. Is y a multiple of 4?
True
Let f(j) = -j**3 - 2*j**2 - 2*j - 1. Let i be f(-2). Suppose -6*c - 1195 = -5*y - c, 3*y - 723 = -i*c. Suppose -6*o + y = -o. Is 12 a factor of o?
True
Let v(y) = 6 - y**2 + y**3 + 0*y + 6*y**2 - 8*y + 3*y. Let u be v(-6). Suppose 7*i - 5*i - 18 = u. Is i a multiple of 2?
False
Suppose 2289 = -3*x + 4*x - 2*a, 5*x - 11409 = -2*a. Does 9 divide x?
False
Let c = -2 + 1. Let w(l) = -27*l - 19. Let f(n) = 55*n + 35. Let g(v) = -6*f(v) - 11*w(v). Is 7 a factor of g(c)?
False
Let s = 1373 - 643. Is s a multiple of 10?
True
Let z be (6/(-9))/(8/24). Let j(c) = -c**3 + c**2 + 3*c + 3. Does 9 divide j(z)?
True
Suppose 0 = 2*i - 10 + 56. Let u = i + 123. Does 25 divide u?
True
Suppose -b = 2 + 2, 0 = -4*t - 2*b - 16. Is 2 a factor of (t - -2) + (-3 - -6)?
False
Suppose 0 = 10*i - 1181 - 439. Is 4 a factor of i?
False
Let n(d) = d**2 + 19*d + 14. Let t be n(-19). Suppose -4*w - 3*z + 103 = -7, -4*z = 5*w - 138. Let y = w - t. Is y a multiple of 4?
True
Let s = 5 - 8. Let b be (4 + (-7 - s))/2. Suppose -4*i + 5*i - 16 = b. Does 16 divide i
|
{
"pile_set_name": "DM Mathematics"
}
|
. Give 7*o(y) + 2*w(y).
y**3 - y
Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t).
-2*t**3 + 4*t
Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u).
-2*u**2 + 2*u - 2
Let m(v) = 11*v**2 - 8. Suppose -21 + 4 = -j. Suppose -j = 2*k - 1. Let d(x) = 7*x**2 - 5. Determine k*d(y) + 5*m(y).
-y**2
Let l(n) = 4*n + 3. Let m(u) = 7*u + 5. Let z(a) = -a**2 + 8*a - 9. Let c be z(8). Let w be (-3)/2*(-18)/c. Determine w*m(f) + 5*l(f).
-f
Let m(b) = 7*b**2 + 3. Suppose -6*a + 4*i = -5*a - 12, 155 = 5*a - i. Let o(u) = 76*u**2 + 32. Determine a*m(l) - 3*o(l).
-4*l**2
Let y(d) be the first derivative of d**3/3 + d**2/2 - 7*d - 41. Let c(j) = j - 6. Determine 5*c(p) - 4*y(p).
-4*p**2 + p - 2
Let c(n) = -67*n**3 + 6*n**2 - 6*n. Let l(s) = -671*s**3 + 61*s**2 - 61*s. Calculate -61*c(t) + 6*l(t).
61*t**3
Let y(j) = -j**3 - j**2 - j. Let z(i) = 4*i**3 + 3*i**2 + 3*i. Let r = 99 - 96. Give r*y(g) + z(g).
g**3
Let s(l) = -12*l**2 - 4*l. Let k(y) = 6*y**2 + 2*y. Give 10*k(n) + 4*s(n).
12*n**2 + 4*n
Let w(m) = -2*m**2 - 5. Let z be ((-2)/6)/((-1)/6). Let h(x) = -x**z - 4 + 5 - 4. Let l(y) = y**2 - 3*y - 7. Let b be l(5). Calculate b*w(c) - 5*h(c).
-c**2
Let c(z) = -2*z**3. Let k = 16 + -18. Let d(x) = -10*x**3. Determine k*d(v) + 11*c(v).
-2*v**3
Let n = -8 - -12. Let k(j) = 2*j. Let o(d) = 4*d. Let h(p) = 4*p. Let y(x) = 5*h(x) - 4*o(x). Give n*y(q) - 9*k(q).
-2*q
Let k(d) = -1. Let z(h) = h - 3. Let r = 2 + -1. Let w = r + -3. What is w*z(i) + 5*k(i)?
-2*i + 1
Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g).
24*g**3
Let p(w) = 8*w**2 - 12*w + 1. Let r(u) = 9*u**2 - 13*u + 1. What is 7*p(g) - 6*r(g)?
2*g**2 - 6*g + 1
Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c).
-21*c
Let u(r) = 38*r - 1. Let x(p) = 115*p - 4. Determine -7*u(h) + 2*x(h).
-36*h - 1
Let x(l) be the first derivative of 2*l**2 + 1. Let h(i) be the third derivative of 5*i**4/24 + 12*i**2. Calculate 2*h(q) - 3*x(q).
-2*q
Let c(m) = -1. Let d(k) = k**2 + k - 2. Give -4*c(p) + 3*d(p).
3*p**2 + 3*p - 2
Let w(h) = 6*h**3 - 3*h**2 + 3*h. Let d(o) = o**3 + o**2 - o. Calculate -6*d(x) - 2*w(x).
-18*x**3
Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s).
2*s**3 + s**2 - s
Let o be ((-15)/(-3) + -3)*4. Let u = o + -13. Let l(q) = -4*q**3 - 5*q**2 + 5*q + 5. Let y(t) = -3*t**3 - 4*t**2 + 4*t + 4. What is u*y(x) + 4*l(x)?
-x**3
Suppose 0 = -2*x - 2*i - 4, -5*x - 26 = i. Let o(r) = r + 4. Let d(s) = s + 3. Calculate x*d(j) + 5*o(j).
-j + 2
Let p(n) = -2*n - 3. Let s(m) = -m**2 + 2*m + 2. Give 2*p(j) + 3*s(j).
-3*j**2 + 2*j
Let p(j) = -27*j**3 + 9*j**2 + 9*j - 9. Let f(x) = -x**3 + x**2 + x - 1. What is 9*f(q) - p(q)?
18*q**3
Let t(v) = -v. Let j(d) = -7*d**3 + 6*d. Calculate j(h) + 6*t(h).
-7*h**3
Let d(x) = -25*x**2 - 40*x - 40. Let y(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 3*v + 14. Calculate -3*d(h) - 40*y(h).
-5*h**2
Let c(b) be the third derivative of b**6/120 - b**3/3 - b**2. Let l(p) = -3*p**3 + 5. Give -5*c(n) - 2*l(n).
n**3
Let w(g) = 16 - 14*g - 1 + 2. Let y(v) = v + 4. Let c(a) = 8*a + 6. Let m(q) = -c(q) + 3*y(q). Calculate 17*m(i) - 6*w(i).
-i
Suppose 3*a - 4*o - 16 = 5*a, -4*a = -4*o - 28. Let i(x) = x + 11. Let j be i(-8). Let g(t) = -4*t - 2. Let u(c) = 7 + 3*c - 5 + 0. What is a*g(p) + j*u(p)?
p + 2
Let b(t) = 5*t - 3. Let x(o) = 14*o - 8. Let j be 66/4*(-4)/(-6).
|
{
"pile_set_name": "DM Mathematics"
}
|
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)?
2, 3
Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g?
11
Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the prime factors of f?
3
Let k = 6 + -5. List the prime factors of -1 + -3 - (-30)/k.
2, 13
Suppose 7*z - 8*z = -5. Suppose 0 = s + s + 2*f + 14, 5*f - 85 = z*s. Let l = 22 + s. List the prime factors of l.
2, 5
Let t(a) = -429*a**2 - 6. Let o(g) = -429*g**2 - 5. Let c(y) = 7*o(y) - 6*t(y). Let s be c(1). What are the prime factors of (-12)/(-54) + s/(-18)?
2, 3
Let d(h) = -h**3 + 7*h**2 - h + 3. Let i be d(5). Suppose i = 2*b - 5*b. What are the prime factors of (-12)/b - (-10)/8?
2
Let u(l) = -l**3 - 2*l**2 + 2*l - 1. Let y be u(-3). Let j be (-2)/(y/13) + 1. Let p = 17 + j. What are the prime factors of p?
5
Let m be (-2)/(-11) - (-218)/11. Let y = m - 7. List the prime factors of y.
13
Let j = -7 + 12. Suppose 12 = 5*y - 4*w, -j*w = -2*y - 3*w + 6. Suppose -2*p + y = -6. What are the prime factors of p?
3
Let h(j) = 2*j**3 - j**2 + 2*j - 4. Let s(b) = -b**3 + b**2 - b - 1. Let z(m) = -h(m) - s(m). What are the prime factors of z(0)?
5
What are the prime factors of ((-103)/(-3))/(33/(-9) + 4)?
103
Let i(a) = -2*a**2 - 2*a**3 + a**3 + 4 - 2. Let k(h) = h - 8. Let t be k(6). List the prime factors of i(t).
2
Suppose 0 = -5*x - 15, -3*j + 53 = j + x. List the prime factors of j.
2, 7
Let o = -2 + 80. Let b be o/(-12) + (-1)/(-2). What are the prime factors of (b/(-8))/((-2)/(-24))?
3
List the prime factors of 3 + 1/1 - -24.
2, 7
Let t(f) = f**2 + 7*f + 7. Let v be t(-6). Let q(o) = 19*o**3 - o**2. Let s be q(v). Let n = -6 + s. What are the prime factors of n?
2, 3
Let s(x) = -2*x - 6. Suppose 0 = -v - 0*v + 2. Let y be v - 1/((-3)/(-18)). List the prime factors of s(y).
2
Suppose 4*r = -4*a + 4, 0 = -5*a + 3*r - 4*r + 25. What are the prime factors of 2*(-3)/a + 8?
7
Let r(b) = 16*b**3 + b**2 - 1. Let i(u) = 8*u**2 + 1. Let p be i(-1). Let d = p - 8. List the prime factors of r(d).
2
Let m = -11 - 105. Let y = -71 - m. Suppose 11 + y = 4*k. What are the prime factors of k?
2, 7
Let z(v) = 2*v**3 - 6*v**2 + v + 4. Let t be z(4). Suppose 3*j - 5*l = 3 + 29, 3*j - l - t = 0. What are the prime factors of j?
2, 7
Let p = 346 - 164. What are the prime factors of p?
2, 7, 13
Let g(w) be the second derivative of 4*w**3/3 + w**2/2 + 2*w. What are the prime factors of g(1)?
3
Suppose 3*q + 12 = 87. Suppose 0 = -t - 3*a - 3, q = 5*t + 4*a + a. What are the prime factors of t?
3
Suppose 2*m = j + 4*j + 411, -3*m = 5*j - 604. List the prime factors of m.
7, 29
What are the prime factors of 488/12 + 3/9?
41
List the prime factors of (-2 - 232/(-12))/((-4)/(-30)).
2, 5, 13
Let j(k) = -k**3 + 3*k**2 + 8*k - 3. Let s be j(6). What are the prime factors of s/(-4) + (-2)/(-8)?
2
Suppose 21 = 5*h - 9. Let p = h + -2. List the prime factors of p.
2
Let r = -4 - -20. Suppose -5*w + 64 = -r. List the prime factors of w.
2
Suppose s + 5*a - 255 = 0, -5*s + a + 3*a + 1159 = 0. What are the prime factors of s?
5, 47
Suppose -3*z + 102 = -198. Suppose -f - 4*f = -z. List the prime factors of f.
2, 5
What are the prime factors of (16*1)/((-4)/(-6))?
2, 3
Suppose 4*x - 2*x + 6 = -2*b, -5*b = 15. Suppose 2*z + x*z = 12. Suppose -s - 60 = -z*s. What are the prime factors of s?
2, 3
Let u(z) = z + 2. Let f be u(-2). Let a = 2 + 15. Let b = a + f. What are the prime factors of b?
17
What are the prime factors of ((-142)/3)/(10/(-30))?
2, 71
Suppose 1 = 3*k + 13, -k + 52 = 2*f. List the prime factors of f.
2, 7
What are the prime factors of 180/(5 + -1 + -3)?
2, 3, 5
Let i(h) = h**3 + 4*h**2 - 4*h + 4. Let c be i(-5). Let k be 2 + c*(-2)/1. Suppose 2*u + 3*l = 24, k*u - l = 3*l + 8. List the prime factors of u.
2, 3
Let z(s) be the third derivative of -2*s**3 + 7/60*s**5 + s**2 - 1/120*s**6 + 0 + 5/12*s**4 + 0*s. What are the prime factors of z(8)?
2
Let d = 17 - 6. Let f = d + 9. What are the prime factors of f?
2, 5
Suppose -7*w - 4 = -2*p - 5*w, 0 = -4*p + 5*w + 13. Let b(m) = m**3 + 2*m**2 - 5*m - 4. List the prime factors of b(p).
2
Suppose 54 = 5*t - 281. What are the prime factors of t?
67
Let i(q) = 1. Let a(x) = 18*x**2 + x + 4. Let b(n) = a(n) - 5*i(n). List the prime factors of b(1).
2, 3
Let t = -5 - -78. What are the prime factors of t?
73
Suppose 0*j + 4*w + 20 = 4*j, 16 = 2*j + 4*w. Let d = 0 - j. List the prime factors of (-2)/3 + (-16)/d.
2
Let g be (6 - 2)/(2/(-9)). Let h = 28 + g. Let r = h - 4. List the prime factors of r.
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of 69/3016 and 51/1856.
24128
Calculate the lowest common multiple of 12 and 3052.
9156
Calculate the lowest common multiple of 22528 and 16.
22528
What is the least common multiple of 1719 and 6876?
6876
Calculate the least common multiple of 75 and 296175.
296175
What is the smallest common multiple of 26326 and 22?
289586
Find the common denominator of -2/12573 and -74/315.
440055
Calculate the common denominator of 25/16 and -5/197638.
1581104
What is the common denominator of -35/1424 and -39/368?
32752
What is the common denominator of 145/7752 and -137/7752?
7752
Find the common denominator of 151/10776 and -79/926736.
926736
Calculate the common denominator of 19/140140 and 83/364.
140140
What is the least common multiple of 708 and 552?
32568
What is the common denominator of -45/291856 and 2/17?
291856
What is the least common multiple of 216 and 73464?
661176
Calculate the smallest common multiple of 461178 and 614904.
1844712
What is the lowest common multiple of 315 and 12789?
63945
What is the lowest common multiple of 301821 and 33?
3320031
What is the lowest common multiple of 20304 and 376?
20304
Calculate the common denominator of -97/2448 and 173/18360.
36720
Calculate the common denominator of 31/475072 and -33/9136.
475072
Calculate the smallest common multiple of 693 and 1612765.
14514885
Find the common denominator of 67/1295 and -1/1001.
185185
Calculate the least common multiple of 381576 and 7338.
381576
What is the lowest common multiple of 412112 and 9584?
412112
Find the common denominator of -83/8 and 121/473838.
1895352
Find the common denominator of -47/1110 and 143/107670.
107670
What is the lowest common multiple of 490 and 1079?
528710
Find the common denominator of 1/635532 and 31/1694752.
5084256
Find the common denominator of -25/38094 and -115/12.
76188
Calculate the smallest common multiple of 813 and 11052.
2995092
Calculate the least common multiple of 65182 and 2507.
65182
Calculate the least common multiple of 7372 and 50.
184300
What is the least common multiple of 4 and 51278?
102556
What is the common denominator of -121/48 and -13/7584?
7584
Calculate the common denominator of 1/190 and 1/39560.
751640
Find the common denominator of 41/1472 and -21/593032.
4744256
Calculate the lowest common multiple of 4 and 66542.
133084
Calculate the common denominator of 113/20 and 97/24920.
24920
What is the smallest common multiple of 177506 and 38037?
532518
What is the lowest common multiple of 4107 and 63?
86247
What is the smallest common multiple of 48128 and 768?
144384
Find the common denominator of -11/50428 and -32/35.
252140
What is the least common multiple of 21333 and 8?
170664
What is the least common multiple of 214 and 15836?
15836
Calculate the common denominator of 139/12750 and 5/68.
25500
What is the least common multiple of 150976 and 150976?
150976
What is the lowest common multiple of 17272 and 18?
155448
Find the common denominator of -133/18414 and -77/930.
92070
What is the common denominator of 107/756 and -53/8388?
176148
What is the smallest common multiple of 828443 and 53?
828443
What is the smallest common multiple of 266152 and 299421?
2395368
Calculate the lowest common multiple of 4246 and 240.
509520
Calculate the least common multiple of 1479 and 28.
41412
Calculate the smallest common multiple of 480 and 19860.
158880
Calculate the least common multiple of 47600 and 2786.
9472400
Calculate the least common multiple of 51770 and 8060.
1346020
Find the common denominator of -2/4521 and -49/12056.
36168
What is the common denominator of 76/2871 and -85/84?
80388
What is the lowest common multiple of 1755 and 4095?
12285
Calculate the smallest common multiple of 560 and 12880.
12880
Find the common denominator of -97/47604 and -54/35.
1666140
Find the common denominator of -71/60235 and -19/5.
60235
What is the lowest common multiple of 312210 and 572385?
3434310
What is the lowest common multiple of 70 and 3332?
16660
What is the least common multiple of 2073 and 4146?
4146
What is the lowest common multiple of 12645 and 37935?
37935
Find the common denominator of -17/1287 and 74/13449.
5769621
Calculate the common denominator of 10/9563 and -8/129297.
9438681
What is the common denominator of 41/258 and 131/97254?
4181922
Calculate the common denominator of -89/56992 and 73/25208.
1310816
Calculate the common denominator of -41/584 and 85/138.
40296
Calculate the lowest common multiple of 2250001 and 10181.
2250001
Find the common denominator of -13/18102 and -64/9.
54306
What is the least common multiple of 186 and 93366?
2894346
What is the common denominator of 79/149799 and 62/541581?
7040553
What is the lowest common multiple of 679491 and 11?
7474401
What is the common denominator of -26/847497 and -121/1210710?
8474970
What is the common denominator of 99/200512 and 59/701792?
1403584
What is the least common multiple of 256 and 1796?
114944
What is the lowest common multiple of 2 and 7085?
14170
Calculate the common denominator of -39 and 40/2583.
2583
Calculate the least common multiple of 4 and 44.
44
What is the common denominator of 33/17 and 145/38964?
38964
Calculate the common denominator of -99/55610 and -65/22244.
111220
Calculate the lowest common multiple of 67920 and 480.
135840
Calculate the common denominator of 91/6 and -87/10678.
32034
Calculate the common denominator of -23/219 and -31/22155.
1617315
Calculate the smallest common multiple of 17860 and 684.
160740
What is the lowest common multiple of 4515 and 29799?
148995
What is the smallest common multiple of 17018 and 697738?
697738
What is the common denominator of -53/28518 and 61/183330?
1283310
What is the common denominator of -139/4020 and -95/1474?
44220
Find the common denominator of -125/22608 and -53/1884.
22608
What is the least common multiple of 17754 and 7263?
159786
Calculate the common denominator of 63/20 and -34/46435.
185740
Find the common denominator of -117/41410 and 39/50.
207050
What is the least common multiple of 4570 and 2742?
13710
Calculate the smallest common multiple of 413640 and 153200.
4136400
Find the common denominator of 47/9696 and -7/80.
48480
Calculate the smallest common multiple of 2562 and 2639.
965874
What is the least common multiple of 14 and 351854?
2462978
Calculate the smallest common multiple of 747 and 45.
3735
What is the smallest common multiple of 250767 and 14751?
250767
Find the common denominator of -17/11589 and -31/27.
104301
Calculate the least common multiple of 20 and 1135160.
1135160
What is the least common multiple of 30 and 250200?
250200
Calculate the common denominator of -29/32580 and 34/27.
97740
Find the common denominator of -41/273 and -45/3926.
82446
Calculate the lowest common multiple of 22278 and 11613.
1091622
Calculate the common denominator of 55/31932
|
{
"pile_set_name": "DM Mathematics"
}
|
11/3 = 0?
-1/14, 22
Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5.
4*(g - 147)**2*(g - 3)/5
Factor -2*s**3 - 1164*s**2 + 2334*s - 1168.
-2*(s - 1)**2*(s + 584)
Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s?
-100, -1, 0
Factor -2*b**2/3 - 88*b/3 + 30.
-2*(b - 1)*(b + 45)/3
Factor 2*q**5/13 - 270*q**3/13 - 540*q**2/13 + 9720*q/13 + 34992/13.
2*(q - 9)**2*(q + 6)**3/13
Factor -2*v**2 - 8*v/7.
-2*v*(7*v + 4)/7
Determine z so that z**2/8 + 777*z/4 - 389 = 0.
-1556, 2
Factor 4*x**3 + 16*x**2 + 12*x.
4*x*(x + 1)*(x + 3)
Let -k**2 - 42*k - 41 = 0. What is k?
-41, -1
Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0.
-2, -1, 1, 2
Find w such that -4*w**5/7 - 12*w**4 - 432*w**3/7 = 0.
-12, -9, 0
Factor -12*k**3/7 - 1143*k**2/7 - 285*k/7.
-3*k*(k + 95)*(4*k + 1)/7
Find r, given that -12*r**5 - 116*r**4 - 104*r**3 + 528*r**2 + 608*r - 256 = 0.
-8, -2, 1/3, 2
Determine l, given that 14*l**5/3 + 220*l**4/3 - 64*l**3/3 = 0.
-16, 0, 2/7
Solve 160*v**2 + 44*v - 8 = 0 for v.
-2/5, 1/8
Suppose 5*n**5 - 60*n**4 - 220*n**3 + 2400*n**2 + 8000*n = 0. What is n?
-4, 0, 10
Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323.
3*(t - 1)**2*(t + 3)*(t + 147)
Factor 12*f**4 + 51*f**3 - 912*f**2 - 231*f.
3*f*(f - 7)*(f + 11)*(4*f + 1)
Find h such that -3*h**4/4 - 33*h**3/4 - 18*h**2 + 27*h = 0.
-6, 0, 1
Factor -s**2/3 + 23*s/3 + 376.
-(s - 47)*(s + 24)/3
Factor 3*c**2 + 147*c + 774.
3*(c + 6)*(c + 43)
Factor -4*m**3 + 8*m**2 + 116*m + 168.
-4*(m - 7)*(m + 2)*(m + 3)
Factor 3*r**3 - 255*r**2 - 519*r - 261.
3*(r - 87)*(r + 1)**2
Factor 5*x**3 + 790*x**2 - 1595*x + 800.
5*(x - 1)**2*(x + 160)
Solve 78*y**2/5 + y/5 = 0 for y.
-1/78, 0
Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0.
0, 2, 588
Factor 2*n**3 - 40*n**2 - 42*n.
2*n*(n - 21)*(n + 1)
Determine g so that g**3/7 + 58*g**2/7 + 16*g = 0.
-56, -2, 0
Find l, given that -2*l**3/9 + 10*l**2/9 - 8*l/9 = 0.
0, 1, 4
Factor q**3 + 3*q**2 - 10*q.
q*(q - 2)*(q + 5)
Factor 2*v**3 - 54*v**2 + 192*v - 184.
2*(v - 23)*(v - 2)**2
Solve -3*z**2/5 - 231*z + 3492/5 = 0 for z.
-388, 3
Suppose -4*b**2 - 28*b = 0. What is b?
-7, 0
Factor 2*i**3 + 58*i**2 - 560*i + 1184.
2*(i - 4)**2*(i + 37)
Let 36*m**5/5 + 1308*m**4/5 + 5152*m**3/5 + 5168*m**2/5 + 1536*m/5 = 0. What is m?
-32, -3, -2/3, 0
Find j such that j**5/3 + 8*j**4/3 - 32*j**3/3 + 14*j**2/3 + 31*j/3 - 22/3 = 0.
-11, -1, 1, 2
Solve 14*y**3/5 + 18*y**2/5 - 62*y/5 + 6 = 0.
-3, 5/7, 1
Factor r**3/2 + 11*r**2/2 + 13*r + 8.
(r + 1)*(r + 2)*(r + 8)/2
Determine i so that 4*i**5 + 68*i**4 + 376*i**3 + 704*i**2 - 128*i - 1024 = 0.
-8, -4, -2, 1
Factor -2*n**2/5 + 2*n/5 + 12.
-2*(n - 6)*(n + 5)/5
Solve 2*f**4/17 - 228*f**3/17 + 7144*f**2/17 - 2160*f + 46656/17 = 0 for f.
2, 4, 54
Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c.
-4*c*(c - 2)*(c - 1)*(c + 111)
Let -36*c**4 - 172*c**3 + 1552*c**2 + 4848*c - 1152 = 0. Calculate c.
-8, -3, 2/9, 6
Factor 2*j**3 + 396*j**2.
2*j**2*(j + 198)
Find r such that -2*r**5 + 40*r**4 - 96*r**3 - 116*r**2 + 226*r + 204 = 0.
-1, 2, 3, 17
Factor -f**2/3 + 17*f/3 + 38/3.
-(f - 19)*(f + 2)/3
Factor -4*d**4 + 92*d**3 - 393*d**2 + 612*d - 324.
-(d - 18)*(d - 2)*(2*d - 3)**2
What is b in -2*b**4 - 4*b**3 + 14*b**2 - 8*b = 0?
-4, 0, 1
Factor -v**5/8 + v**4/2 - 3*v**3/8.
-v**3*(v - 3)*(v - 1)/8
Find v such that -v**2 + 3*v + 270 = 0.
-15, 18
Factor -2*k**2 - 1844*k - 425042.
-2*(k + 461)**2
Suppose 60*k**4 - 219*k**3 + 288*k**2 - 159*k + 30 = 0. What is k?
2/5, 1, 5/4
Factor -4*w**5 - 20*w**4 - 24*w**3 + 8*w**2 + 28*w + 12.
-4*(w - 1)*(w + 1)**3*(w + 3)
Solve -8*a**4/17 - 50*a**3/17 + 54*a**2/17 + 74*a/17 - 70/17 = 0 for a.
-7, -5/4, 1
Determine
|
{
"pile_set_name": "DM Mathematics"
}
|
d(4). Which is the nearest to p? (a) v (b) -2 (c) j
c
Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1
a
Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3
a
Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13 - j. Which is the nearest to -2? (a) f (b) w (c) 2/5
a
Let v = 3.1 - 3.5. Which is the nearest to -0.1? (a) v (b) 4 (c) -2/7
c
Let q = -4.08 + 0.08. Let y = 54 - 53.7. Which is the closest to 2/5? (a) y (b) 0.2 (c) q
a
Let u(m) = -3*m + 1. Let g be u(-1). Let w = 6 - 5.6. Let p be 17/(-5) + 1 - -2. Which is the closest to -2/9? (a) g (b) w (c) p
c
Let b = 11 - 15. What is the nearest to 0 in -5, b, 0.1?
0.1
Let o(a) = a**2 + 4*a - 4. Let l be o(-4). Let y = -119/1725 - -11/115. Let v = 28/75 + y. What is the nearest to v in 0.4, 4, l?
0.4
Let g = 4.04 - 0.04. Let j = -0.2 - 3. Let d = 3 + j. What is the closest to 0 in d, g, -0.4?
d
Let v = -1.3 - -1.5. Which is the closest to 1? (a) 0.5 (b) v (c) -1/6
a
Let a be (3 + 145/(-50))/1. What is the closest to 0.5 in -0.3, a, 1/8?
1/8
Let x = -0.1 - 0.4. Let y = x + 0.1. Let j = y + 0.8. Which is the closest to -1? (a) -2/5 (b) 2 (c) j
a
Let r be ((-67)/(-2))/((-3)/(-2)). Let n = r + -22. Let t = 2 + -1.5. Which is the closest to n? (a) t (b) 3 (c) -2/11
a
Let v = 4 - 3. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.2
b
Let y = 7 + -10. Let p = 247/2865 - -9/191. What is the nearest to 2/5 in y, 0.2, p?
0.2
Let y = -0.33 - -0.13. Let d = -8 - -7.6. What is the nearest to 0.4 in y, d, 2/5?
2/5
Let t = 2.5 - 2. Let b = -0.21 - -14.21. Let c = b + -14.2. What is the nearest to 0.1 in c, t, 2?
c
Let v be (-10)/(-24) - 1/(-4). Let d be 0 + ((-10)/(-8) - 1). Which is the closest to v? (a) d (b) -0.3 (c) -1/3
a
Let q be (-2)/2*1/(-3). Let v = -0.5 - -1. Let p = -0.3 + v. What is the closest to q in p, -2, -3?
p
Let o = 0.14 - 0.04. Let j be 92/20 + (-4)/(-10). Let s = -24 - -23.8. Which is the closest to o? (a) s (b) j (c) -0.1
c
Let m = 11 - 12. Which is the closest to 5? (a) m (b) 0.5 (c) -4/7
b
Let u be (-278)/42 + (-4)/(-14). Let l = u - -7. Let d = 20 - 17. Which is the closest to l? (a) 0.3 (b) 0 (c) d
a
Suppose -2*g + 50 = 5*y, -5*y + 3*y = -3*g - 1. Which is the closest to -1/2? (a) 0.4 (b) 1/12 (c) y
b
Let j = -4.5 - -5. Let h = -0.5 + j. Let q = -3 - -2.5. What is the nearest to h in 0.3, 1/6, q?
1/6
Let f be 1 - 2/((-372)/(-314)). Let p = -2/93 - f. What is the closest to -0.5 in p, -3/5, -4?
-3/5
Let n = -5.74 - 0.26. Which is the closest to -1? (a) -0.5 (b) n (c) -4
a
Let k be 19/(-45) + (-14)/(-63). What is the nearest to -0.1 in -1, k, 0.3?
k
Suppose t = 3*t + 6. Let r be 6/(-10)*(-8)/6. Which is the nearest to -0.1? (a) -0.1 (b) t (c) r
a
Let x be (-3 - (0 - 2)) + 49/21. Which is the nearest to -0.1? (a) x (b) -2/11 (c) 0.4
b
Let u = 3.23 - 3.1. Let m = u + 4.87. Let g = 0 + m. What is the closest to -2/3 in -1/2, g, -5?
-1/2
Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s?
s
Let z = 0.1 - 0.1. Which is the closest to z? (a) -0.5 (b) 2/7 (c) -1
b
Let m be (-2)/(-3)*1*3. Suppose 4*h + 20 = 0, m*y + 3*y + 5*h - 105 = 0. Let n be y/(-42) - (-1)/3. What is the nearest to 2/9 in 1/8, 1/3, n?
1/8
Let t = -11.8 + 6.8. What is the nearest to 3 in 0.1, 1/2, t?
1/2
Let q = 0 + 0. Let t = 0.2 + q. Let k = t + -0.1. What is the nearest to k in -1, 1/4, -1/5?
1/4
Let m = 0.015 - -3.985. Which is the closest to -1? (a) 5 (b) m (c) 0.03
c
Suppose -5*p = -10*p + 5. What is the nearest to p in 0, -0.2, -0.5?
0
Let m = -1 - -4. What is the closest to 1 in m, 5, 4?
m
Let x = 26 + -16. Let w = 9 + -15. Let l = x + w. Which is the closest to 0? (a) -2 (b) l (c) 3/5
c
Let g be -9*(-1)/6*(-4)/6. Which is the nearest to 1? (a) -3/4 (b) 0.2 (c) g
b
Let d be (-72)/126 + 10/(-56). Let y = -1 + 3. Which is the closest to -0.1? (a) -1/5 (b) y (c) d
a
Let h = 1.7 - -1.3. What is the closest to h in 1/3, -1/6, -2/9?
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r.
2048
Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t.
3
Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y.
-1
Rearrange (9 + 4*w - 9)*(2 + 0 - 3 - 19 + 25 - 16 - 3 + 6 - 4 + (-1 + 5 - 5)*(-4 + 2 + 1) + 1 - 2 - 1) to s*w + n and give s.
-52
Express -2*g - 1 + 1 + (0*g - g + 0*g)*(-1 + 1 + 2) + (-321*g + 159*g + 535*g)*(-2 - 2 + 3) as o + d*g and give d.
-377
Express -11*p**3 - 77 + 76 + 0*p + 3*p in the form s*p**3 + g + i*p + o*p**2 and give s.
-11
Rearrange -15 - 14 + 258*a**2 + 29 to z*a + c + u*a**2 and give u.
258
Rearrange -1080*n**3 + 539*n**3 + 1 + 76*n**4 + 542*n**3 + 2*n**4 to the form k*n + i*n**4 + q*n**3 + f + v*n**2 and give f.
1
Express (d + 0 + 0)*(299*d - 182*d + 247*d)*(2 - 3 + 0) in the form b + l*d + z*d**2 and give z.
-364
Rearrange 13*w - 23*w - 7 + 48 - 112 to the form j*w + q and give j.
-10
Rearrange -978*z - 21*z**2 + 488*z + 2*z**3 + 492*z to the form l*z**3 + n*z + k*z**2 + v and give l.
2
Rearrange (3 - 2*x**2 - 3)*(-900*x - 1399*x - 1048*x) to the form l*x + w + s*x**2 + c*x**3 and give c.
6694
Express -40 + 26*o + 28*o - 57*o as i*o + d and give d.
-40
Express -111*b**2 + 8*b**2 - 68*b**2 + 26*b**2 in the form r*b**2 + k*b + q and give r.
-145
Rearrange (-7*d + 3*d + d - 6)*(0*d + 5*d - 3*d) to the form r*d**2 + c*d + n and give r.
-6
Rearrange 1162*p - 26150 + 26150 to l + o*p and give o.
1162
Express 5*i + 2*i**2 - 5*i + (-1 + 2*i + 1)*(-4*i + 2*i + 3*i) + (-i + 10*i + 2*i)*(10 + 7 + 5)*(4*i - 3*i + 3*i) + i + i**2 - i as v + r*i**2 + a*i and give r.
973
Rearrange -2*g**4 - 28319 + 28319 + g**2 + 7*g to the form z + r*g**2 + n*g**3 + u*g**4 + c*g and give u.
-2
Express (0 + y - 3 + 6)*(1 + 1 + 2) + (-8 + 0 - 5)*(2*y - y + 0*y) as x*y + i and give x.
-9
Rearrange (2 - 2 - 3*h)*(2 - 3 - 6)*(-3 + 5 - 13)*(2 + 0 + 1) to the form a + b*h and give b.
-693
Express (3*g - 2 + 5 - 1)*(13*g - 21*g + 12*g)*(0 - 3 + 2)*(9 + 4 - 2) as t + i*g**2 + h*g and give h.
-88
Express (c + c - c)*(-c - c + 4*c) + (40*c - 13*c - 12*c)*(-3 + 3 - 2*c) + (-16 + 0*c + 2*c - 5)*(c + 2 - 2) in the form l + a*c**2 + m*c and give m.
-21
Rearrange 19*s**3 + 2*s - 3 - 5*s**3 + 6 to l*s**3 + k*s**2 + g + m*s and give g.
3
Rearrange (-2*n + n - n)*(-248 + 248 + 93*n + 0*n - 2*n + 3*n + (2*n - 4*n + n)*(-6 + 3 + 1)) - 20 - 9*n**2 + 20 to u*n + d + m*n**2 and give m.
-201
Rearrange 6*w + 0*w - 3*w + (2*w - 27*w + w)*(-1 + 1 + 1) to the form k + r*w and give r.
-21
Express 2*x - 14 + 14 + (-3 + 4 - 3)*(-x - 4*x + 3*x) in the form h + o*x and give o.
6
Rearrange (-1 + z + 1)*(-143 - 576 + 64) to h*z + t and give h.
-655
Rearrange 419256*o**3 - 419260*o**3 + 2*o - o + 3 - o + o**2 to z*o**3 + d*o + h + n*o**2 and give h.
3
Rearrange -2419 + 2419 - 1864*x to p*x + w and give w.
0
Express (124 - 364*r + 363*r + 15)*(-1 + 3 - 3)*(-3*r + 6*r - r) as c*r + h*r**2 + n and give c.
-278
Rearrange (-1 + 1 + 9)*(3*n - 6*n + n)*(28 + 6 - 5)*(3*n + 0*n + 0*n) to the form p*n + c + g*n**2 and give g.
-1566
Rearrange 2*a**4 + 3*a**3 + a**3 - 381 + 384 to the form j*a**3 + m*a**2 + t*a + w + y*a**4 and give w.
3
Express 2 - 2*q**3 + 20784*q**4 + q - 20797*q**4 - q**2 + 0*q**2 in the form k*q + t + i*q**3 + r*q**4 + v*q**2 and give v.
-1
Express (33 + 64 + 50)*(3*u**3 + 0*u**3 + 4*u**3) as z + r*u + t*u**3 + x*u**2 and give t.
1029
Express (-313*u**3 + 81*u**3 + 68*u**3)*(-4 + 4 - 2)*(2*u + u + u) in the form b + w*u + i*u**2 + y*u**4 + x*u**3 and give y.
1312
Rearrange (-3*n**3 + 13 - 13)*(38 - 12 - 57 - 37) to c + q*n + m*n**2 + d*n**3 and give d.
204
Rearrange -8*j - j**2 + 2*j**2 + 7*j to a*j + k*j**2 + n and give a.
-1
Rearrange -183*y**2 - 1 + 47*y**2 - 13*y**2 + 0 to the form q*y + l*y**2 + h and give h.
-1
Express -6*k**2 + k**2 + k**2 + (1 - 1 + k)*(0 + 0 - 2*k) + 2*k**2 - 3*k**2 - k**2 - 6*k + 8 - 748*k**2 + 743*k**2 + 3*k as d*k**2 + b + r*k and give b.
8
Express ((2 - 1 + 1)*(2 - 4 + 0) + 0 - 3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
nd t?
17
Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u.
6
Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374.
34
Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p?
8
Suppose -4*n + 168 + 72 = 0. Suppose -5*u + 3*w = -62, 2*w + 32 = 2*u - w. What is the greatest common divisor of u and n?
10
Let s = -20 + 72. What is the greatest common divisor of s and 468?
52
Let y(g) = -2*g**2 - 9*g. Let b be y(-8). Let j = -32 - b. What is the highest common factor of 120 and j?
24
Suppose 24*q = -5*d + 25*q + 3311, d - 643 = 5*q. Calculate the greatest common factor of 39 and d.
39
Suppose 64*u - 59*u - 65 = 0. Suppose u*m - 10*m - 54 = 0. What is the greatest common divisor of m and 72?
18
Suppose 532*g = 539*g - 4123. What is the highest common divisor of g and 31?
31
Suppose 3*z + 6 = 0, 212*h - 1561 = 209*h + 5*z. Calculate the greatest common factor of 44 and h.
11
Let v be (-20)/16*(2 - 6). Let u = v - 4. Suppose -o = -u - 11. What is the highest common factor of o and 12?
12
Suppose -1661*f = -1652*f - 99. What is the greatest common divisor of 19 and f?
1
Let o = 31 - 30. Let g be ((-45)/6)/(o/(-6)). What is the highest common factor of 9 and g?
9
Let s(b) be the second derivative of -b**5/10 - 5*b**4/12 - 5*b**3/6 - b**2 - 16*b. Let k be s(-2). What is the highest common divisor of k and 3?
1
Let m(i) = 3*i**2 - 39*i + 133. Let j be m(4). Calculate the highest common factor of 175 and j.
25
Suppose -177 = 6*t - 207. What is the greatest common divisor of 1 and t?
1
Let y = -3 - -2. Let u be 1 + (-2 - -5 - (y + 0)). What is the greatest common factor of 2 and u?
1
Let s(b) = b**2 - 10*b + 3. Let d be s(28). What is the greatest common divisor of 39 and d?
39
Suppose -8*y - 78 = -14*y. What is the greatest common divisor of 793 and y?
13
Let d = 91 - 86. Calculate the highest common factor of 155 and d.
5
Suppose 101 + 79 = 3*p. What is the greatest common factor of 40 and p?
20
Let t(a) = 37*a + 108. Let y be t(11). Calculate the highest common factor of y and 25.
5
Let a(q) = 11*q**2 + 2*q + 2. Let h = 18 + -20. Let l be a(h). Calculate the greatest common divisor of 28 and l.
14
Let i be 1290/27 - (-30)/135. What is the highest common factor of i and 12?
12
Suppose 19 = d - 5*s + 2*s, -3 = -s. Calculate the highest common divisor of d and 8.
4
Suppose 10*t - 13*t = -528. Suppose 15*z - 11*z = t. Calculate the highest common divisor of z and 308.
44
Suppose -4*m + 0 = 16. Let b be 0 - 16/m - -3. Let q be 1/3*(20 + 1). What is the highest common divisor of b and q?
7
Let c(y) = -y**2. Let n(m) = -2*m**2 + 8*m - 11. Let x(b) = -3*c(b) + n(b). Let f be x(-10). Calculate the greatest common divisor of 81 and f.
9
Suppose -3*a - 20 = -8*a + 3*y, -2*y - 20 = -5*a. What is the greatest common divisor of a and 98?
2
Suppose 0 = -21*i + 22*i - 2. Suppose -i*o + 15 = -2*z - 7, 0 = 2*o + 5*z - 50. What is the greatest common divisor of 75 and o?
15
Let y = -283 + 307. Calculate the greatest common divisor of 116 and y.
4
Let v be ((-28)/35*116)/(10/(-25)). Calculate the greatest common divisor of 261 and v.
29
Let z = -232 - -233. Calculate the greatest common divisor of 7 and z.
1
Suppose 3*q - 38 = 2*c, 0 = q - 3*c + 4*c - 11. Let v be (-2 + -2)*(-87)/q. Calculate the highest common divisor of v and 145.
29
Let l = 238 + -62. Suppose -139 = -7*u - 27. What is the highest common factor of l and u?
16
Suppose -7 = -12*a + 17. What is the greatest common divisor of a and 70?
2
Let g = 339 - 255. Let o(f) = f**3 + 4*f**2 + 6*f + 7. Let w be o(-5). Let i = g + w. Calculate the highest common divisor of 4 and i.
4
Suppose -8*x + 1410 = 2*x. Suppose -5*q = -3*q - 94. Calculate the greatest common divisor of x and q.
47
Suppose -5*k = -12 + 2, -3*k - 210 = -3*f. Calculate the highest common factor of 45 and f.
9
Let w = 2 - -16. Suppose a = -5*i + 3, 2*a + w = 2*i - 12. Let m = a - -22. Calculate the greatest common factor of m and 30.
10
Suppose 0 = 10*q - 11*q + 11. Let n = 2 + q. Calculate the highest common factor of 91 and n.
13
Suppose 9*a = 685 - 190. Let s = 115 - a. Calculate the highest common divisor of s and 15.
15
Let j be 0 - (1 + -8 + 3). Let n be 46 - j - (3 + 0). Let k be 3/(-12) - 735/(-28). Calculate the highest common factor of k and n.
13
Let h be (-4)/(-1) + 0 + 1. Let l(z) = -z - h*z - z + 3*z. Let i be l(-2). What is the greatest common divisor of i and 8?
8
Let f(b) = -b**2 - 4*b + 2. Let l be f(-4). Let w = 5 - l. Suppose -15 - 7 = -4*u + 2*o, -2*o + w = u. What is the highest common divisor of u and 25?
5
Let d = -46 + 78. Let m = -11 + d. Let x = -19 + m. What is the greatest common divisor of 3 and x?
1
Suppose 0 = -y - 4*y + 195. Let u(m) be the first derivative of -9*m**2/2 - m + 1. Let w be u(-3). Calculate the highest common factor of y and w.
13
Suppose 3*d = 26 + 28. Let o be (d + -2)/(1 - 93/99). What is the greatest common factor of 24 and o?
24
Suppose 5*r - 30 = 2*t, 0*r - r - 3*t = -6. Calculate the highest common factor of r and 162.
6
Suppose -13*z - 10*z + 276 = 0. Calculate the highest common factor of z and 576.
12
Let q(w) = w**3 - w**2 + w + 14. Let t be q(0). Suppose 4*p + 2*b - 15 - 17 = 0, -5*b = -p - t. Calculate the highest common divisor of p and 18.
6
Suppose 9*s - 4*s = -5*t + 45, -2*t = -4*s + 6. Let d(x) = x**3 - 4*x**2 - 2*x + 9. Let n be d(
|
{
"pile_set_name": "DM Mathematics"
}
|
est integer.
1
What is 42651.53 rounded to the nearest ten?
42650
Round -4312.526 to the nearest 10.
-4310
What is 11090.62 rounded to the nearest 100?
11100
Round 5442810 to the nearest ten thousand.
5440000
What is -0.0000039673956 rounded to 7 dps?
-0.000004
What is -0.00412741 rounded to 3 dps?
-0.004
What is -0.01419423 rounded to 2 dps?
-0.01
Round -282.7218 to the nearest 10.
-280
What is -0.000464682 rounded to 6 decimal places?
-0.000465
Round 0.00000578031 to 7 decimal places.
0.0000058
What is 0.000000248595 rounded to seven dps?
0.0000002
What is -376.6519 rounded to one dp?
-376.7
What is -625418.3 rounded to the nearest 100000?
-600000
What is -0.0011453133 rounded to 5 dps?
-0.00115
What is -628640 rounded to the nearest 10000?
-630000
Round -0.1800004 to three decimal places.
-0.18
Round -0.0000000147324 to 7 decimal places.
0
What is 264576 rounded to the nearest one hundred thousand?
300000
What is -25024300 rounded to the nearest one hundred thousand?
-25000000
Round 0.00000655304 to six dps.
0.000007
Round 2056112 to the nearest 1000000.
2000000
What is -0.0004760977 rounded to 4 dps?
-0.0005
What is 0.000002260355 rounded to six dps?
0.000002
Round -1.667942 to the nearest integer.
-2
Round 0.000917897 to 6 decimal places.
0.000918
Round 0.0045419 to 3 decimal places.
0.005
Round 0.003947599 to five dps.
0.00395
Round 0.00002513401 to seven dps.
0.0000251
What is 13591981 rounded to the nearest 10000?
13590000
Round -10623915 to the nearest one hundred thousand.
-10600000
What is 0.0000003714549 rounded to seven dps?
0.0000004
What is 0.006368044 rounded to four decimal places?
0.0064
What is -0.016018 rounded to 2 dps?
-0.02
Round 55.63012 to 2 decimal places.
55.63
What is 64245.53 rounded to the nearest one thousand?
64000
Round -101838000 to the nearest one hundred thousand.
-101800000
Round -0.0029761869 to 6 decimal places.
-0.002976
Round -32515.64 to the nearest ten.
-32520
What is -149544650 rounded to the nearest one hundred thousand?
-149500000
Round 0.000969657 to five decimal places.
0.00097
Round 761305 to the nearest 100000.
800000
What is -421484 rounded to the nearest 10000?
-420000
Round 3163.761 to the nearest 10.
3160
Round -5.4325132 to three dps.
-5.433
What is 9608330 rounded to the nearest one million?
10000000
What is 1048.6737 rounded to the nearest 100?
1000
What is -0.0011341056 rounded to four dps?
-0.0011
Round 85241.1 to the nearest one thousand.
85000
What is -56914.7 rounded to the nearest one thousand?
-57000
What is 0.1423176 rounded to four dps?
0.1423
What is 932259300 rounded to the nearest 1000000?
932000000
What is 0.0006159914 rounded to five decimal places?
0.00062
What is 0.000060404 rounded to five dps?
0.00006
What is -0.0206693 rounded to 2 dps?
-0.02
Round 0.017530203 to three decimal places.
0.018
Round -9074.406 to the nearest one hundred.
-9100
What is 0.000028073 rounded to 6 decimal places?
0.000028
What is 0.2435689 rounded to 2 dps?
0.24
What is 17922.6 rounded to the nearest 1000?
18000
What is 1.993263 rounded to 2 decimal places?
1.99
Round -56909.54 to the nearest 10000.
-60000
What is 13938910 rounded to the nearest one million?
14000000
Round 0.0005756305 to seven decimal places.
0.0005756
What is 7405.4 rounded to the nearest 1000?
7000
Round -38.911 to the nearest one hundred.
0
What is -85.27478 rounded to the nearest ten?
-90
What is -13.12389 rounded to one dp?
-13.1
Round 0.000135607 to four decimal places.
0.0001
Round -20844.9 to the nearest one hundred.
-20800
Round -0.0024878175 to 6 decimal places.
-0.002488
Round -241332.6 to the nearest 100000.
-200000
What is 65456.2 rounded to the nearest 100?
65500
What is -1.472136 rounded to 3 dps?
-1.472
Round -0.00295775 to four dps.
-0.003
What is 0.0000030592335 rounded to 6 decimal places?
0.000003
What is 61390.95 rounded to the nearest 10000?
60000
What is -0.0000010471883 rounded to 7 decimal places?
-0.000001
Round 0.0049673468 to 6 decimal places.
0.004967
What is -4.784649 rounded to three decimal places?
-4.785
Round -0.0055143 to 3 decimal places.
-0.006
Round 0.000006066063 to 6 dps.
0.000006
Round -1210709000 to the nearest 1000000.
-1211000000
Round 128379.94 to the nearest 10000.
130000
Round 0.0581114 to 2 decimal places.
0.06
What is 557001 rounded to the nearest 100?
557000
Round -0.0000734383 to six decimal places.
-0.000073
Round -0.002331584 to five decimal places.
-0.00233
What is -13.4921 rounded to the nearest integer?
-13
Round 932850 to the nearest 100000.
900000
What is -46.184797 rounded to 1 dp?
-46.2
What is 0.000004990955 rounded to 7 dps?
0.000005
What is 55558.769 rounded to the nearest 1000?
56000
Round 1746119 to the nearest 100000.
1700000
What is 170527.42 rounded to the nearest ten thousand?
170000
What is 693947000 rounded to the nearest one million?
694000000
Round 0.0001914385 to seven dps.
0.0001914
Round 0.001226101 to five dps.
0.00123
What is -0.00000108995 rounded to 6 decimal places?
-0.000001
Round -0.00005115616 to five decimal places.
-0.00005
What is 0.0542098 rounded to four dps?
0.0542
Round -0.3688454 to one dp.
-0.4
What is 2240.6 rounded to the nearest 10?
2240
What is 0.000092432 rounded to five decimal places?
0.00009
What is 6.61224 rounded to 2 decimal places?
6.61
Round -212545.4 to the nearest 1000.
-213000
Round -70.8065 to the nearest ten.
-70
Round 17138830 to the nearest 100000.
17100000
Round -14909000 to the nearest 1000000.
-15000000
What is 9989.7526 rounded to zero decimal places?
9990
Round -0.00461 to two dps.
0
What is 0.30188 rounded to one dp?
0.3
What is -0.00004408791 rounded to five decimal places?
-0.00004
What is -0.00000040024 rounded to six dps?
0
Round 31.797818 to the nearest 10.
30
Round 0.008970089 to three dps.
0.009
Round 15956260 to the nearest 1000000.
16000000
What is 6.32035 rounded to zero decimal places?
6
Round -166.6469 to one decimal place.
-166.6
What is -0.00325976 rounded to 3
|
{
"pile_set_name": "DM Mathematics"
}
|
m upbuuptuuktuububbtbp. Give prob of picking 1 p and 2 t.
3/380
Two letters picked without replacement from {t: 3, k: 1, q: 1, y: 1, a: 1, o: 6}. What is prob of picking 1 k and 1 t?
1/26
Four letters picked without replacement from lrxbbrrrrblrxbrrl. Give prob of picking 1 b and 3 l.
1/595
What is prob of picking 1 e and 3 i when four letters picked without replacement from iiiiieei?
4/7
Three letters picked without replacement from yvnynnyn. Give prob of picking 1 v and 2 y.
3/56
Two letters picked without replacement from cbcbjlocbou. Give prob of picking 2 c.
3/55
Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {r: 8, w: 6, n: 1, h: 4, d: 1}.
3/95
Calculate prob of picking 2 c when two letters picked without replacement from caaaaaacaaaaaaaaaaac.
3/190
Four letters picked without replacement from {m: 2, l: 3}. What is prob of picking 4 l?
0
What is prob of picking 2 f and 1 j when three letters picked without replacement from {b: 4, a: 1, f: 2, j: 1}?
1/56
What is prob of picking 3 t when three letters picked without replacement from {t: 6}?
1
Four letters picked without replacement from {c: 2, m: 4}. What is prob of picking 4 m?
1/15
Calculate prob of picking 1 o and 1 c when two letters picked without replacement from pocoogcscsclpg.
12/91
Four letters picked without replacement from {m: 3, x: 2}. Give prob of picking 2 m and 2 x.
3/5
Three letters picked without replacement from nbppppbpppnn. Give prob of picking 2 n and 1 b.
3/110
Calculate prob of picking 1 t and 2 m when three letters picked without replacement from tttmmtmmzmtttmtmtmm.
108/323
What is prob of picking 4 k when four letters picked without replacement from {k: 5, v: 2}?
1/7
Three letters picked without replacement from {y: 2, t: 8, i: 1, s: 5, b: 1}. Give prob of picking 1 s and 2 y.
1/136
Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {g: 3, f: 3}.
9/20
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from hahhz.
1/10
What is prob of picking 1 r, 2 c, and 1 x when four letters picked without replacement from rcrxxccx?
9/35
Two letters picked without replacement from zffdzdzdzzzzdddzz. Give prob of picking 2 d.
15/136
What is prob of picking 2 u and 2 r when four letters picked without replacement from {u: 7, r: 9}?
27/65
Calculate prob of picking 2 a when two letters picked without replacement from lajasl.
1/15
Two letters picked without replacement from {k: 3, x: 4, s: 1, r: 4, d: 2, f: 6}. What is prob of picking 1 d and 1 f?
6/95
Two letters picked without replacement from {u: 7, w: 1, b: 1}. Give prob of picking 1 u and 1 w.
7/36
What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 2, a: 2, m: 2, d: 6, e: 3}?
6/91
What is prob of picking 3 u and 1 r when four letters picked without replacement from urruu?
2/5
Three letters picked without replacement from {i: 9}. Give prob of picking 3 i.
1
Three letters picked without replacement from {i: 8, y: 2, h: 2}. Give prob of picking 2 h and 1 y.
1/110
Two letters picked without replacement from twtt. What is prob of picking 1 w and 1 t?
1/2
Two letters picked without replacement from qmqmmm. Give prob of picking 1 q and 1 m.
8/15
Two letters picked without replacement from {h: 3, i: 9}. Give prob of picking 2 i.
6/11
What is prob of picking 1 c and 2 v when three letters picked without replacement from {v: 4, c: 1, a: 6}?
2/55
Three letters picked without replacement from gqgvgggqqfgggqffqq. What is prob of picking 2 g and 1 q?
7/34
Two letters picked without replacement from {s: 12, v: 7}. What is prob of picking 2 s?
22/57
Three letters picked without replacement from ggpppgpggggggppgppgp. Give prob of picking 2 p and 1 g.
33/95
Four letters picked without replacement from {l: 1, z: 5, d: 9, e: 1, g: 2}. What is prob of picking 1 l and 3 d?
7/255
What is prob of picking 2 k and 2 n when four letters picked without replacement from {s: 7, k: 2, n: 9}?
1/85
Four letters picked without replacement from {c: 5, g: 5}. Give prob of picking 2 c and 2 g.
10/21
What is prob of picking 1 i and 1 a when two letters picked without replacement from {a: 1, i: 2}?
2/3
Three letters picked without replacement from {c: 2, p: 4, q: 1}. What is prob of picking 1 c, 1 q, and 1 p?
8/35
Two letters picked without replacement from ddcddddc. What is prob of picking 2 d?
15/28
What is prob of picking 1 i and 2 y when three letters picked without replacement from {t: 3, y: 5, f: 1, i: 1, m: 5}?
2/91
What is prob of picking 4 c when four letters picked without replacement from {s: 2, g: 1, j: 5, d: 2, c: 8}?
7/306
Four letters picked without replacement from oooyvvoooooovooyooy. What is prob of picking 1 o, 1 y, and 2 v?
39/1292
Four letters picked without replacement from {d: 3, o: 1, r: 1, x: 2}. What is prob of picking 1 d, 2 x, and 1 r?
3/35
Three letters picked without replacement from bbjqrqqrqrqbq. What is prob of picking 3 b?
1/286
Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {e: 1, r: 2, z: 1}.
1/3
Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 5, w: 1, d: 4, b: 2, q: 2}.
10/91
Three letters picked without replacement from {n: 2, w: 3, d: 3}. Give prob of picking 1 w and 2 n.
3/56
What is prob of picking 2 h when two letters picked without replacement from wwwhwhhwwhwhhhhwwwhw?
18/95
Four letters picked without replacement from {m: 4, k: 8, d: 1}. Give prob of picking 3 m and 1 k.
32/715
Three letters picked without replacement from ttxttxxxttrxrxx. Give prob of picking 3 t.
4/91
Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {b: 3, h: 3}.
9/20
Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {d: 5, z: 9, g: 2, f: 2}.
2/17
Calculate prob of picking 3 q when three letters picked without replacement from {j: 6, q: 7, x: 1}.
5/52
What is prob of picking 1 s and 2 a when three letters picked without replacement from {u: 5, a: 2, s: 4}?
4/165
What is prob of picking 1 r and 1 v when two letters picked without replacement from {p: 3, v: 4, r: 6, z: 2}?
8/35
Two letters picked without replacement from pzdyyd. Give prob of picking 1 y and 1 p.
2/15
What is prob of picking 1 k and 1 a when two letters picked without replacement from wkwswwwabwwbawwstww?
2/171
Four letters picked without replacement from {f: 7, k: 6, s: 2}. Give prob of picking 1 k and 3 f.
2/13
Two letters picked without replacement from lwlw. What is prob of picking 1 l and 1 w?
2/3
What is prob of picking 2 n when two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b?
135
Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1?
5
Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o?
21
Let f = 969 + -846. Calculate the remainder when f is divided by 31.
30
Let i = -40 + 59. Suppose -14*a + i*a = 0. Suppose a = -2*p + 5*p - 3*x - 69, -3*p = 5*x - 45. What is the remainder when p is divided by 12?
8
Suppose -76 - 1206 = -56*w + 510. What is the remainder when 894 is divided by w?
30
Suppose -2*w - 201 = -3*w. Suppose 9*j = 669 - w. Calculate the remainder when 101 is divided by j.
49
Suppose -139 = -5*z - 44. Suppose -5*b = k - 86, -5*k + 3 = b - z. What is the remainder when (-6*9/3)/((-123)/328) is divided by b?
14
Suppose -2*i = 3*i - 30. Suppose -1229 = -i*z + 901. Suppose -2*d - 91 = -z. What is the remainder when d is divided by 45?
42
What is the remainder when 117 is divided by (1 - 3)/(-6) + 606/18?
15
Let c(t) = 21*t**2 + 3739*t + 7473. Suppose 0 = 2*n - 18 - 74. What is the remainder when c(-2) is divided by n?
33
Let d = -31 - -48. What is the remainder when (-504032)/(-4974) - (-20)/(-6) is divided by d?
13
Suppose -a + 95 = 3*r, 0 + 4 = -a. Let j = r + -13. Suppose -j*i + 16*i = -132. Calculate the remainder when i is divided by 7.
5
Let y = 1706 + -1457. Calculate the remainder when y is divided by 79.
12
Suppose 8*z = -0*z + 120. Suppose -325 = -z*p + 140. What is the remainder when 60 is divided by p?
29
Let x = 3022 + 1134. What is the remainder when x is divided by 11?
9
Let c = -11 - -33. Suppose -74*o = -61*o - 4732. Let s = -357 + o. Calculate the remainder when c is divided by s.
1
Let d(i) = -i**2 - 10*i + 2. Let w = -7 + 2. Calculate the remainder when ((-14)/(-5))/(-7) + (-652)/w is divided by d(-9).
9
Let w(l) = 4*l**2 - 15*l + 704. What is the remainder when w(21) is divided by 1072?
9
Let k(m) = m - 3 - 1 - 9*m. Let y(b) = -115*b - 455. Calculate the remainder when k(-4) is divided by y(-4).
3
Let w(l) = 1715*l + 15478. Calculate the remainder when 20122 is divided by w(-9).
41
Suppose 2*i + v = 6*i - 69, -5*i - 2*v = -83. Let o be 36 - (-6 + 14 + -3 + -3). Suppose o*l - 11*l - 1518 = 0. What is the remainder when l is divided by i?
15
Suppose 15*n = 71*n - 196616. Calculate the remainder when n is divided by 14.
11
Suppose -20*s = -19*s - 3. Suppose -4*t - s*r = -173, 4*r - 2 - 10 = 0. Suppose 36*n = t*n - 110. Calculate the remainder when n is divided by 5.
2
Suppose -3*t + 162 = 5*g, -g - 132 = -5*g - 3*t. What is the remainder when -50*((-472)/(-40) - 13) - 4 is divided by g?
26
Suppose 1200 = -16*f - 4*f. What is the remainder when 357 is divided by 10/(-2) + 40/(-25)*f?
84
Suppose 90 = -126*q + 136*q. Calculate the remainder when 44 is divided by q.
8
Suppose 128 = 2*t + 2*r - 104, -t + 120 = 3*r. Calculate the remainder when t is divided by 28.
2
Let g = 15498 + -15386. Calculate the remainder when 1692 is divided by g.
12
Let z = 1002 - 486. Let n = 529 - z. What is the remainder when 115 is divided by n?
11
Calculate the remainder when 28/((-84)/(-91671)) - 9/1 is divided by 114.
110
Suppose -3045 = -5*o + 5*v, -v - 4*v = 3*o - 1827. What is the remainder when o is divided by 37?
17
Let a(o) = 6*o + 62. Let f be a(8). Suppose 0 = -104*v + f*v - 354. Calculate the remainder when v is divided by 6*(0 + 40/12).
19
Suppose -3*l + 2*c = -77 - 11, 3*c = -4*l + 123. What is the remainder when (-4)/(-14) + 2924/7 is divided by l?
28
Let l be (127 + (10 - 3))*1/(-2). Let v be ((-8)/(-6))/2*-21. Let k = v - l. Calculate the remainder when k is divided by 9.
8
Suppose -3*c = -3*t + 3603, 0 = t + 2*c - 4*c - 1202. Suppose -20*o + 4*o = -t. Calculate the remainder when o is divided by 26.
23
Let g be -3 + 2 + 9 + (-1 - -3). Suppose y = 2, 5*f - y = 2*y + 14. What is the remainder when (-6*9/(-54))/(2/g) is divided by f?
1
Suppose 315 = 1193*w - 1172*w. Suppose 2*z - 5*z = -162. Calculate the remainder when z is divided by w.
9
Let v(f) = -f**3 - 8*f**2 - 9*f - 5. Suppose -56 = -0*b + 2*b. Let m = b - -53. Calculate the remainder when m is divided by v(-7).
7
Suppose 22*p - 51 = 5*p. What is the remainder when 1537/p - (2 + (-40)/15) is divided by 43?
40
What is the remainder when 1463 is divided by (-24)/(-108)*27 - 1?
3
Suppose 2*t + a + 11 = 0, -5*t - 2*a - 23 = -4*a. What is the remainder when 3/((-3)/t) + 213 is divided by 10?
8
Calculate the remainder when (-1618)/(-6) - 82/123 is divided by 77.
38
Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16.
13
Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6?
4
Let y = 31175 + -29978. What is the remainder when y is divided by 254?
181
What is the remainder when 424 is divided by (13/((-234)/891) + -6)*(-20)/6?
54
Suppose 62*g = 1281 + 455. What is the remainder when 329 is divided by g?
21
Suppose 10*z = 17*z + 28. Let f(s) = s**2 - 6*s - 12. What is the remainder when 160 is divided by f(z)?
20
Let n(f) = 15*f**2 + f + 1. Let a be n(-1). Suppose 64*y - 63*y - 23 = 5*h, -2*y - h - 9 = 0. Let q = a - y. Calculate the remainder when q is divided by 6.
5
Let c(x) = 21*x + 517. Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
square root of 196 to the nearest integer?
14
What is 51473 to the power of 1/2, to the nearest integer?
227
What is the ninth root of 202 to the nearest integer?
2
What is 75767 to the power of 1/2, to the nearest integer?
275
What is the square root of 22796 to the nearest integer?
151
What is the cube root of 4480 to the nearest integer?
16
What is 7441 to the power of 1/2, to the nearest integer?
86
What is the square root of 1477 to the nearest integer?
38
What is the third root of 4168 to the nearest integer?
16
What is the third root of 1843 to the nearest integer?
12
What is 7377 to the power of 1/6, to the nearest integer?
4
What is the cube root of 1433 to the nearest integer?
11
What is 27852 to the power of 1/10, to the nearest integer?
3
What is 106452 to the power of 1/2, to the nearest integer?
326
What is the square root of 16778 to the nearest integer?
130
What is 1518 to the power of 1/2, to the nearest integer?
39
What is 49676 to the power of 1/3, to the nearest integer?
37
What is 6143 to the power of 1/3, to the nearest integer?
18
What is the third root of 2980 to the nearest integer?
14
What is 1965 to the power of 1/9, to the nearest integer?
2
What is the cube root of 3567 to the nearest integer?
15
What is 4757 to the power of 1/2, to the nearest integer?
69
What is the seventh root of 5362 to the nearest integer?
3
What is the third root of 4645 to the nearest integer?
17
What is the cube root of 1580 to the nearest integer?
12
What is 252 to the power of 1/5, to the nearest integer?
3
What is the sixth root of 2665 to the nearest integer?
4
What is the square root of 221 to the nearest integer?
15
What is the seventh root of 8850 to the nearest integer?
4
What is the seventh root of 61030 to the nearest integer?
5
What is 3967 to the power of 1/2, to the nearest integer?
63
What is 26391 to the power of 1/3, to the nearest integer?
30
What is the cube root of 6928 to the nearest integer?
19
What is the square root of 2102 to the nearest integer?
46
What is the square root of 8819 to the nearest integer?
94
What is the third root of 6970 to the nearest integer?
19
What is 15005 to the power of 1/2, to the nearest integer?
122
What is the square root of 582 to the nearest integer?
24
What is the third root of 6519 to the nearest integer?
19
What is 22254 to the power of 1/10, to the nearest integer?
3
What is 4561 to the power of 1/2, to the nearest integer?
68
What is the square root of 248 to the nearest integer?
16
What is the square root of 9738 to the nearest integer?
99
What is the cube root of 14430 to the nearest integer?
24
What is the square root of 32951 to the nearest integer?
182
What is the third root of 139 to the nearest integer?
5
What is the square root of 23900 to the nearest integer?
155
What is the square root of 19611 to the nearest integer?
140
What is 71388 to the power of 1/3, to the nearest integer?
41
What is the ninth root of 1298 to the nearest integer?
2
What is 210 to the power of 1/5, to the nearest integer?
3
What is the cube root of 90694 to the nearest integer?
45
What is the fourth root of 19511 to the nearest integer?
12
What is the cube root of 1388 to the nearest integer?
11
What is 1801 to the power of 1/8, to the nearest integer?
3
What is 51116 to the power of 1/2, to the nearest integer?
226
What is 3302 to the power of 1/3, to the nearest integer?
15
What is the cube root of 198 to the nearest integer?
6
What is 69444 to the power of 1/9, to the nearest integer?
3
What is 2990 to the power of 1/2, to the nearest integer?
55
What is the square root of 4255 to the nearest integer?
65
What is the cube root of 4058 to the nearest integer?
16
What is the square root of 5461 to the nearest integer?
74
What is 26871 to the power of 1/7, to the nearest integer?
4
What is the cube root of 758 to the nearest integer?
9
What is the square root of 1512 to the nearest integer?
39
What is the third root of 961 to the nearest integer?
10
What is 1516 to the power of 1/2, to the nearest integer?
39
What is 6406 to the power of 1/4, to the nearest integer?
9
What is 1381 to the power of 1/7, to the nearest integer?
3
What is the third root of 4241 to the nearest integer?
16
What is the cube root of 218 to the nearest integer?
6
What is the square root of 4680 to the nearest integer?
68
What is 8469 to the power of 1/3, to the nearest integer?
20
What is 230 to the power of 1/4, to the nearest integer?
4
What is the tenth root of 4198 to the nearest integer?
2
What is 773 to the power of 1/2, to the nearest integer?
28
What is 2741 to the power of 1/7, to the nearest integer?
3
What is 9834 to the power of 1/4, to the nearest integer?
10
What is the fourth root of 13299 to the nearest integer?
11
What is the cube root of 663 to the nearest integer?
9
What is 22400 to the power of 1/8, to the nearest integer?
3
What is the square root of 73 to the nearest integer?
9
What is 16411 to the power of 1/2, to the nearest integer?
128
What is the third root of 47878 to the nearest integer?
36
What is the fifth root of 206 to the nearest integer?
3
What is 1904 to the power of 1/2, to the nearest integer?
44
What is 11536 to the power of 1/5, to the nearest integer?
6
What is the square root of 289 to the nearest integer?
17
What is the cube root of 7012 to the nearest integer?
19
What is 1470 to the power of 1/2, to the nearest integer?
38
What is the square root of 3382 to the nearest integer?
58
What is the eighth root of 2002 to the nearest integer?
3
What is the cube root of 42504 to the nearest integer?
35
What is the cube root of 10315 to the nearest integer?
22
What is 18993 to the power of 1/4, to the nearest integer?
12
What is the square root of 7759 to the nearest integer?
88
What is the fifth root of 129560 to the nearest integer?
11
What is the cube root of 2892 to the nearest integer?
14
What is the fourth root of 783 to the nearest integer?
5
What is 9967 to the power of 1/3, to the nearest integer?
22
What is 3547 to the power of 1/2, to the nearest integer?
60
What is 116503 to the power of 1/2, to the nearest integer?
341
What is the fifth root of 3783 to the nearest integer?
5
What is 41864 to the power of 1/9, to the nearest integer?
3
What is the third root of 37106 to the nearest integer?
33
What is the third root of 23512 to the nearest integer?
29
What is the tenth root of 424 to the nearest integer?
2
What is 210 to the power of 1/3, to the nearest integer?
6
What is 142202 to the power of 1/7, to the nearest integer?
5
What is the seventh root of 184496 to the nearest integer?
6
What is the third root of 123 to the nearest integer?
5
What is the square root of 8371 to the nearest integer?
91
What is the cube root of 42161 to the nearest integer?
35
What is 9463 to the power of 1/2, to the nearest integer?
97
What is the square root of 1836 to the nearest integer?
43
What is the cube root of 6065 to the nearest integer?
18
What is 1838 to the power of 1
|
{
"pile_set_name": "DM Mathematics"
}
|
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i).
4*i**2*(i - 3)*(i + 1)*(i + 3)
Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0?
-1, 5
Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u).
2*(u - 1)**2*(u + 1)**2/11
Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0.
0, 9
Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0.
-3, -2, 1
Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r).
4*r*(r - 2)*(r + 1)
Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i?
-1, -2/5, 5
Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0.
-1, 2
Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v).
2*(v - 1)**2*(v + 2)/5
Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h).
3*(h - 1)*(h + 1)/7
Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g.
-1/4, 1, 3
Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x.
0, 3
Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0.
-2, 0
Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4.
-2*c**3*(c + 1)
Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i).
2*(i + 1)**2*(i + 9)/11
Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f).
-3*f*(f - 1)/5
Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r).
(r - 2)*(r + 3)
Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d).
2*(d - 8)*(d + 2)/3
Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r?
-4/5
Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i).
-3*(i + 1)*(4*i + 1)/4
Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x.
0, 1, 2
Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483.
-3*(o - 119)**2
Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w?
-1, 2
Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0?
-1, 11
Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n).
-4*(n - 3)*(n - 1)*(n + 1)/3
Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0.
-1/3, 4
Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4.
2*(t - 1)**2*(t + 1)**3
Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0.
-1, 0, 7
Let r(z
|
{
"pile_set_name": "DM Mathematics"
}
|
test common factor of i and j?
27
Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77.
7
Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90?
10
Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is the highest common divisor of 45 and k?
5
Let a(k) = -k + 25. Let v be a(19). Suppose -11 = -2*s - y + 10, -s - 2*y = -6. What is the greatest common divisor of v and s?
6
Let k = 3410 + -3314. Suppose 4*i - 56 = 4*c, 4*i + 2*c - 3 - 41 = 0. Calculate the greatest common divisor of k and i.
12
Let q(d) = d**3 + 18*d**2 + 16*d + 16. Let r(v) = v**3 + 21*v**2 + 19*v - 37. Let b be r(-20). Let k be q(b). Calculate the greatest common divisor of 44 and k.
11
Suppose 5*o - 19 = 26. Let t = 82 - 55. Calculate the highest common divisor of t and o.
9
Let t = 79 - 42. Let z = t + 26. Calculate the greatest common divisor of z and 21.
21
Suppose -3*b = -488 - 79. Calculate the highest common divisor of 108 and b.
27
Suppose 0 = 3*w + 6, -5*b + 185*w - 184*w + 102 = 0. Calculate the highest common factor of b and 335.
5
Suppose 5*u + k - 40 = 0, -3*u - 4*k + 3 = -4. Calculate the greatest common divisor of u and 6.
3
Let f(t) = 3*t**3 - 10*t**2 + 20*t - 16. Let m be f(4). Calculate the greatest common factor of 20 and m.
4
Suppose 30*w - 2508 = 19*w. What is the highest common factor of 57 and w?
57
Suppose d = 41 + 15. Suppose 4*u + 2*k = d, -3*k + 44 = 2*u + 2*k. What is the highest common divisor of u and 60?
12
Let h = 1962 + -1002. What is the greatest common divisor of 15 and h?
15
Let z(t) = 2*t**2 - 9*t - 5. Suppose -h = -2*h - 3. Let u be z(h). What is the highest common factor of u and 5?
5
Let s be (4 - 24/(-6))/1. What is the greatest common divisor of 22 and s?
2
Let x = -21 - -35. Let m = -91 - -97. Let t be 4/m + (-1504)/(-12). Calculate the highest common divisor of x and t.
14
Suppose 0 = -4*c + 8*c - 16. Let y be c/(2 - (-45)/(-25)). What is the highest common factor of y and 160?
20
Let w(x) = 277*x**2 - 9*x. Let t be w(-1). Calculate the greatest common factor of 52 and t.
26
Let k(y) be the third derivative of -y**4/12 - 5*y**3/2 + y**2. Let p be k(-11). Suppose 3*c - p = 2*c. What is the greatest common divisor of c and 1?
1
Let c be (-4)/(-8) + (-18)/(-4). Suppose 149 = 2*j - 5*m, j - c*j = -5*m - 293. What is the highest common divisor of 9 and j?
9
Suppose 0*k = -26*k + 1404. What is the greatest common divisor of 405 and k?
27
Suppose -3*q - 5*o + 4 = -0*q, -4*q + 3*o = -44. Suppose q = -r + 77. Calculate the highest common factor of 46 and r.
23
Suppose -4*o - 142 = -2*f, 2*f = -0*f - 2*o + 172. Let g = 16 - 7. Calculate the greatest common factor of g and f.
9
Let n(d) = -d + 12. Let t be n(6). Let p = t + 44. Let o(z) = z**2 + 6*z + 4. Let k be o(-8). Calculate the highest common factor of k and p.
10
Suppose -3*g - 555 = -3*z, 236 = 3*z + g - 327. Calculate the greatest common factor of 17 and z.
17
Let a(f) = -7 + 2*f**2 + 1 - 11*f + 0 - 11. Let y be a(7). Let h be (-4)/8*(y - 92). What is the greatest common divisor of 110 and h?
22
Let g be (-2)/(12/(-15))*-2 - -117. What is the greatest common divisor of 64 and g?
16
Let l = 698 - 671. Calculate the greatest common factor of l and 315.
9
Suppose 0 = -4*k + 24 + 28. Suppose c - 2*s = 4 + 5, -5*c - 5*s = -75. What is the greatest common divisor of c and k?
13
Let s be (23*-1)/(-9 + (-385)/(-44)). Calculate the highest common factor of 253 and s.
23
Suppose s - 2*s + 20 = 0. Let b = 38 - s. Calculate the highest common divisor of 45 and b.
9
Let n = 12 - 8. Suppose d - 5*x = 45, -4*x = n + 8. Calculate the greatest common divisor of 240 and d.
30
Let x(a) = -a**3 + a**2 + 105. Suppose -6 = 4*p - 6. Let w be x(p). Suppose 3*y = q + 47, -3*y + 6*q = 3*q - 51. What is the highest common factor of y and w?
15
Suppose -h - 9 = -29. Suppose -h = d - 5*d. Suppose -3*o - 2*t + 21 = -2*o, -15 = -d*t. Calculate the highest common factor of 60 and o.
15
Suppose 15 = 6*j - 3. Suppose -j*d = -2*f + 5*f - 84, -3*d = 6. Calculate the greatest common divisor of 90 and f.
30
Let d(b) be the first derivative of 4 + 1/3*b**3 + 0*b**2 - b. Let g be d(2). What is the greatest common divisor of 9 and g?
3
Let i be 1/(1/(-2))*-2. Suppose i*g - 2 = m, -3*m - 2*g + 35 + 1 = 0. Let d be 92/6 - (0 + 4/12). Calculate the highest common factor of m and d.
5
Suppose -2*f - 5*n = -2*n - 1531, -n = -3*f + 2313. Calculate the greatest common factor of f and 44.
22
Suppose -426 = -14*a - 146. What is the greatest common factor of a and 40?
20
Suppose 2 = -2*q - 4*u, 5*q - 4*u = 24 - 1. Let y = 2 + q. Let k be 21 + (3 - (-4 - -3)). What is the highest common factor of k and y?
5
Let o be -10*-3*(-1)/(-5). Suppose 0 = -0*f + 2*f - o. Suppose 38 = 4*u - f*k - 67, -4*k = 12. What is the greatest common divisor of u and 36?
12
Let x be -1*16/(4 + -8). Suppose -5*n + 10*n = 4*w - x, -n - 1 = -w. Suppose -2*z + n*z + 22 = 0. Calculate the highest common factor of 55 and z.
11
Let m be 44/8 - (-4)/(16/2). Calculate the highest common factor of m and 6.
6
Let l = 90 - 85. Calculate the greatest common factor of l and 60.
5
Let u be ((-12)/(-15))/(1/60). Let d = 54 + -23. Suppose 4*f + d - 3 = 4*l, 5*l = -5*f + 25. What is the greatest common divisor of l and u?
6
Suppose 25*p - 720 = p. Let b be -6 + (-
|
{
"pile_set_name": "DM Mathematics"
}
|
arest to -2/7? (a) -0.1 (b) z (c) -0.2
c
Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u
c
Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3?
-0.3
Let w = 10.89 + -11. Let n = w - -0.01. Which is the nearest to n? (a) -3 (b) 0 (c) -4/3
b
Suppose 20 + 10 = -6*w. Let l = -1 - -3. Which is the closest to -2? (a) w (b) -0.5 (c) l
b
Let p = -1 - -0.8. Let b = 0.3 + p. Suppose -8 = 3*v + a, -6*a = 4*v - 5*a + 10. What is the nearest to v in b, 0.3, -2/5?
-2/5
Let n = -0.468 - -0.068. What is the nearest to 4 in n, -2/17, 0?
0
Let u = -14 + 19. Which is the closest to 9? (a) u (b) 3 (c) -0.2
a
Let q = 140 + -139.98. Which is the nearest to -1? (a) q (b) 0 (c) 1
b
Suppose p = 1, -3*d + 3*p + 0 = -12. What is the nearest to -0.2 in 3/5, d, -2/13?
-2/13
Let u be 0 - 0 - (-8)/(-14). What is the nearest to -0.2 in u, -5/6, 2?
u
Let o be ((-22)/44)/((-10)/(-12)). What is the closest to -3 in -0.5, o, 1/3?
o
Let g be 91/(-195) - 1/5. Which is the nearest to g? (a) 1/5 (b) -0.1 (c) -3
b
Let y be (-1)/(-5)*11*-1. Let i = y + 89/45. What is the nearest to -1 in 3/2, 1, i?
i
Let u = 0.8 - 1. Suppose 0 = 3*t - 2*t + 4*h + 2, t = 5*h + 7. Which is the closest to u? (a) 0.4 (b) -1 (c) t
a
Let f be (-5)/((5 - 8)*(-2)/6). Which is the nearest to -0.3? (a) 2/3 (b) -2 (c) f
a
Let n = -0.5 - -0.3. Let p = 13/6 - 5/2. Which is the closest to n? (a) p (b) 0 (c) -1
a
Let z = 2 + -2. Let q = -7.7 + 0.7. Let y = q - -10. What is the nearest to z in 1/10, -1, y?
1/10
Let h = 6 - 9. Let w = -29 + 25. Which is the closest to 1? (a) 4 (b) w (c) h
a
Let o = 0.09 - -0.21. Which is the nearest to 1? (a) o (b) 5 (c) -1
a
Suppose -u = 3*q + 10, -u + 1 - 5 = q. Let s = 2 + -1.5. Let k = 1.02 + -0.02. What is the nearest to u in 4, k, s?
s
Let o = 111 + -111. Which is the nearest to 1/16? (a) -3 (b) -0.1 (c) o
c
Let k = 1.7 - 2.1. Let w = 1/23 - 55/207. Which is the closest to 0? (a) k (b) 0.2 (c) w
b
Let d be 12/42 - (-2)/42. Let k = -3 + 2. Let x be 0*((-10)/4 - -2). What is the nearest to k in d, -2/23, x?
-2/23
Let o = 0.04 + 0.86. Let s = o - 0.6. Let f = -0.1 - -0.3. Which is the nearest to -1/3? (a) f (b) -1/3 (c) s
b
Let v = 0.2 + -0.2. Let w = 17/33 - 2/11. Which is the nearest to v? (a) 7 (b) -0.4 (c) w
c
Let i = 3 - 3.5. Let u be 1/(4 - (-14)/(-4)). What is the closest to u in -0.1, i, -0.2?
-0.1
Let c = 130 - 394/3. What is the closest to -0.2 in 3, c, 2/21?
2/21
Let w = 3 - 3.2. Let i be (42/15)/(16/(-100)). Let u = i - -18. Which is the nearest to u? (a) -2/9 (b) 2/3 (c) w
b
Suppose 0 = -g - 5. Which is the closest to 0.2? (a) g (b) 0.1 (c) -0.5
b
Let u = 0.13 + 2.87. Which is the nearest to 3? (a) u (b) -2/7 (c) -3
a
Let x = -4473/17 - -263. Which is the nearest to -0.1? (a) -5 (b) x (c) 1
b
Let f(t) = -t**3 - 6*t**2 - t - 3. Let x be f(-6). Suppose -x = -2*r - r. Which is the nearest to r? (a) -1/2 (b) -2 (c) 0.5
c
Suppose 2*w = -0*w. Let a be 0 + (1 - 2) + 0. What is the closest to 0.1 in w, -4, a?
w
Let b = -2.8 - -14.8. Let j = -0.01 - 9.99. Let q = b + j. What is the nearest to q in 1/4, 4, -0.4?
1/4
Let x = 0.1 + -0.3. Let n = 93/91 - 17/13. Let d = 0.64 + -0.14. Which is the nearest to n? (a) 1 (b) x (c) d
b
Let m = -125 + 122. What is the nearest to -0.1 in 2/9, m, -2/3?
2/9
Let u = 2.1 + -2. Let t = 12 + -11.9. What is the closest to t in -2/3, u, -2?
u
Suppose 3*h + 4 = 5*h. Suppose -4*z = -5*x - 8, -z + 2*x + 0*x + h = 0. Which is the closest to 0? (a) -1/7 (b) z (c) -0.4
a
Let y = 49 + -195/4. Which is the closest to -0.1? (a) 0.4 (b) 2 (c) y
c
Let y be (376/28)/(81/(-14)). Let s = 1/81 - y. Let w = -2 + s. Which is the closest to w? (a) 1 (b) -2/13 (c) 3
b
Let g = 31/5 - 29/5. Let t = -2 + 3. Let f be 176/(-363) - 4/(-6). Which is the nearest to t? (a) g (b) f (c) -4
a
Let m(q) = 2*q**2 - 2*q + 1. Let a be m(3). Suppose 3*b = a + 2. What
|
{
"pile_set_name": "DM Mathematics"
}
|
138, -h - 4 = 7*j for j.
0
Solve -4*a = 2*h + 10, -100*a + 97*a - 8 = 2*h for h.
-1
Solve 0 = -3*y - n + 3, 2*y - 2*n + 3*n + 9*n = -26 for y.
2
Solve -x + 345 = b + 339, -3*x - 2*b + 14 = 0 for x.
2
Solve 3700*t + 4*i - 32 = 3699*t, -4*i = -28 for t.
4
Solve -1062*q + 1059*q + 2*p - 7 = 0, -p - 16 = 5*q for q.
-3
Solve -3*n - 670 = -67*j, -2*n + 5 - 15 = -j for j.
10
Solve -v - 14 = 85681*b - 85682*b, -v - 4*b - 24 = 0 for v.
-16
Solve 2*r + 5 = 4*v - 7, -4*r + 3*v - 4 = 0 for r.
2
Solve b = -5*r + 27, -r - 5*b + 1663 - 1648 = 0 for r.
5
Solve 0 = -5*l - 3*m - 53, -17*l - 61*m + 63*m - 46 = 0 for l.
-4
Solve k + 31*n - 21 = 35*n, -5*n - 15 = k for k.
5
Solve 5*v + 19 = 24, 0 = 5*d + 4*v - 4 for d.
0
Solve -y = 42*n + 21, 9*y = -3*n + 6*y - 63 for n.
0
Solve 3*o - 3 = -3*v, v + 24 = 2*o + 37 for v.
5
Solve -3 = -p - 4*x, -2*p + x = -4*p - 1 for p.
-1
Solve -5*d = f + 12, -d + 0*d = 4 for f.
8
Solve -2*c + 56 = 4*m, -3*c = -4*m - 1563 + 1629 for m.
15
Solve -6*u + l + 34 = 0, -64*u = -67*u + 4*l + 31 for u.
5
Solve -y - 3*i = 865 - 851, 21 = 6*y - 3*i for y.
1
Solve 0 = 4*n + 785 - 801, -2*n + 18 = 2*l for l.
5
Solve 8 = -3*r - a, -55*r + 1 = -54*r + 4*a for r.
-3
Solve m = -3*s + 19, 318*m - 322*m = -15*s + 32 for s.
4
Solve -5*p + 5*a + 17 = -18, 19*p + 59 = -5*a for p.
-1
Solve z + 614*o - 16 = 617*o, 36 = 4*z - 5*o for z.
4
Solve -j - 1172 + 1169 = -0*k + k, -j = 2 for k.
-1
Solve 56*l - 9 = 55*l + 2*h, -5*l + 4*h = -3 for l.
-5
Solve 4*q = r + 36, 3*r + 3*q - 100 + 88 = 0 for r.
-4
Solve 0 = 2*t - 2*j + 4, 5*t + j + 4*j + 3585 = 3625 for t.
3
Solve d - 4*x = -7, 117*d - x - 8 = 120*d for d.
-3
Solve 20 = -41*x + 46*x - 3*s, 3*x - 2*s - 12 = 0 for x.
4
Solve -6*i + 2*i + 47 = 3*u - 0*u, 4*i = 44 for u.
1
Solve n + 5*x = -1 + 3, -372*n + 376*n = -5*x - 7 for n.
-3
Solve v + p = 2, 3*v - 170531*p + 6 = -170528*p for v.
0
Solve 3154*p + 16 = 3158*p - 2*f, -5*f = -4*p + 22 for p.
3
Solve 4*d = -4*g - 32, -2*d - 16 = 312*g - 316*g for g.
0
Solve -74*l - 11 = -r - 70*l, 7*r - 4*l - 53 = 0 for r.
7
Solve 10 = a + 4*m, 4*m = -636*a + 632*a + 40 for a.
10
Solve 2*u - 59 + 23 = -3*k, -2*u - 2*k + 36 = 0 for u.
18
Solve 4 = 3*d + 5*k, 53891*k - 53896*k + 1 = 2*d for d.
3
Solve 2*s - 2*k + 976 = 982, -k + 1 = 3*s for s.
1
Solve -2*z = -6*z + 5*z - 2*i + 7, 91 = -18*z + i for z.
-5
Solve 34 = 4*r + 2*z, 0 = -2508*r + 2503*r + 2*z + 29 for r.
7
Solve -3*o = 418*w - 413*w + 15, 2*w + 6 = 0 for o.
0
Solve 4*d - 2303 + 2284 = -i, -5*i - 30 = -5*d for i.
-1
Solve 4*n = -7047*s + 7042*s + 6, -n + 2 = s for n.
4
Solve j = 5*v + 12, -30*v + 334*j = 333*j + 87 for v.
-3
Solve 0 = -3*a - 2*q - 2, -938*a + 936*a + 15 = -q for a.
4
Solve 4*f = 4*s + 12, 122*f = 125*f + s + 3 for f.
0
Solve w + 4*d + 22 + 21 = -14, 0 = -3*d - 39 for w.
-5
Solve -3*d - 5*a = -9, -32*d + 35*d - 9 = 9*a for d.
3
Solve 2*m + 5*r + 9 = 19, 0 = 5*r - 10 for m.
0
Solve -3*n = k - 4926 + 4927, 2*n - 3*k + 30 = 0 for n.
-3
Solve -2*c + 16 = 4*f, -6*c - 27*f = -24*f - 30 for c.
4
Solve k + 9 = 22*c - 21*c, 3*c = 5*k + 43 for c.
1
Solve -63*s - 40 = 2*b - 58*s, -2*b - 20*s = 160 for b.
0
Solve t - 64 = 11*k, 3*t - 32 = 709*k - 708*k for k.
-5
Solve v + 4 = -71*i + 76*i - 14, -4*i + 5*v = -27 for i.
3
Solve -4*w - w + 20 + 5 = -3*f, 3*w = 6 for f.
-5
Solve -47*g + 0*j + 138 = 4*j, -6*g + 4*j - 36 = -2*g for g.
2
Solve -5*l - 4*x + 4 = -0 - 21, l - 5 = x for l.
5
Solve -3*f + 7*f = 2*x - 14, 3*x = -5*f - 45 for x.
-5
Solve 0 = 5*b - 5*u, 2*b - 94 = -u - 97 for b.
-1
Solve r - 3 = -1385*o + 1384*o, 0 = 2*o + 6 for r.
6
Solve -5*m + 50 = 5*u, 294*m - 5*u = 295*m + 6 for m.
14
Solve 29 = a + 5*x, 5*a + 4*x + 563 = 645 for a.
14
Solve 0 = 6167*w - 6171*w - 5*h - 7, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
the units digit of s?
8
Let o = 247 - 140. What is the hundreds digit of o?
1
Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q?
5
Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)?
2
Suppose -6 - 394 = -4*z. What is the tens digit of z?
0
Let t be 2 - (-4)/(-1 - 1). Suppose t*n + 4 = 2*n. What is the units digit of n?
2
Let v be (-16)/6 - 6/(-9). Let x be (v - -1)/(2/(-8)). Suppose 0 = 2*r - x. What is the units digit of r?
2
Let z(p) = p + 1. Let n be z(1). Let q(i) = i + 3*i**2 + n - 5 + 2*i. What is the tens digit of q(-3)?
1
Suppose -201 = -3*q - 3*g, 8 + 12 = 4*g. What is the tens digit of q?
6
Suppose 2*c = -2*c + 152. What is the units digit of c?
8
Let r(n) = -2*n - 12. Let g(s) = -3*s - 12. Let u(t) = 3*g(t) - 4*r(t). Let m be u(6). Let l(h) = -h**2 + 7*h + 4. What is the tens digit of l(m)?
1
Suppose 4*m - m - 9 = 0. Suppose 0 = -c - 2*f + 23, -c - 4*f + 72 = m*c. Suppose 5*x - 2 = c. What is the units digit of x?
3
Let i be 1/(2 + 1)*9. Let v(t) be the second derivative of t**3/6 + t**2/2 - 4*t. What is the units digit of v(i)?
4
Let h(k) = -k**2 - k. Let y be h(-2). What is the units digit of y - -2 - (-9)/1?
9
Let l(v) = -5*v + 2. Let a(i) = -11*i + 5. Let t(k) = -k**2 - 2*k + 3. Let n be t(2). Let r(w) = n*l(w) + 2*a(w). What is the units digit of r(3)?
9
Suppose 30 = 6*w - 138. What is the units digit of w?
8
Suppose 4*c - 51 = 293. Suppose -c = -5*h - 6. What is the units digit of h?
6
Let o be 208/3 + (-4)/(-6). Let w be ((-2)/4)/((-7)/o). Suppose w*k = 3*k + 4. What is the units digit of k?
2
Suppose 3 = -2*p + 5*p. What is the units digit of (6/10)/(p/10)?
6
What is the tens digit of 2 + 1023/21 - (-6)/21?
5
Let p(j) = 4*j**2 - 5*j + 2. What is the units digit of p(3)?
3
Let u(y) = -y + 4. Let j be u(4). Suppose j = h + 12 + 2. What is the units digit of (-10)/h - 2/(-7)?
1
Let d be (-5)/((-15)/(-12)) + 1. Let m = d + 5. What is the units digit of m?
2
Suppose 3*a + 5*u - 107 = 0, 3*a = 3*u + u + 125. What is the units digit of a?
9
Suppose 0 = -4*j - 4*y + 28, 3*y = -2*j + 3*j - 27. Let r = 8 + j. What is the tens digit of r?
2
Let l = 1 + -2. What is the units digit of 5 + -4 - (-9 - l)?
9
Let f(x) = x**3 - x**2 - x + 36. Let z be f(0). Suppose 2*d = 5*d - z. What is the tens digit of d?
1
Let v(d) = 2*d**2 + 5*d + 3. What is the units digit of v(-3)?
6
Suppose -z - c + 5 = c, -4*c = -4. Suppose z = -w + 5. What is the units digit of w?
2
Suppose 3*h - 8*h + 10 = 0. Suppose -h*b + 1 = 7. Let x(i) = i**2 + 3. What is the tens digit of x(b)?
1
Suppose 8*v - 3*v = 1130. What is the hundreds digit of v?
2
Let f = 7 - 10. What is the units digit of (f - -1) + 7/1?
5
Let m be (-2)/8 - 190/8. What is the tens digit of 2/(-8) + (-318)/m?
1
What is the tens digit of (-60)/50*260/(-6)?
5
Let i(s) = s**2 - 9*s + 3. Let v be i(9). Suppose 3*o + v = 4*o - 3*t, 3*o + 3*t = -3. Suppose o*u = -5*u + 15. What is the units digit of u?
3
Let c be 21/5 + (-4)/20. What is the tens digit of ((-2)/c)/((-3)/60)?
1
Suppose 4*i = 2*u - 110, -4*u + 2*u + 29 = -i. What is the units digit of (-72)/i*3/2?
4
Suppose -4 = 4*n, -n - 72 = 5*b + n. Suppose -s + 10 = -3*s. Let k = s - b. What is the units digit of k?
9
Let w = 11 - -6. What is the units digit of w?
7
Let m(r) = -r**2 + r + 52. What is the units digit of m(0)?
2
Let z = 23 + -7. Suppose 4*j - 4 - z = 0. What is the units digit of j?
5
Let x = -6 + 22. What is the units digit of x?
6
Suppose -2*i + 3*i = 3*j + 42, 2*i - 77 = -j. What is the units digit of i?
9
Let f(z) = -3*z**3 - 3*z**2 + 2*z - 1. Let l be f(2). Let o = -15 - l. What is the tens digit of o?
1
Let t = -3 - -2. Let b be (t/3)/(4/24). Let k = b - -5. What is the units digit of k?
3
Let p = 5 + -4. Let z be ((-2)/5)/(p/(-60)). Suppose 0 = -3*t + t + z. What is the tens digit of t?
1
Let v = 0 - -13. Let p = 0 + v. What is the tens digit of p?
1
Let k(c) = 69*c**3 + 2*c**2 - 2. What is the units digit of k(1)?
9
Let f be 43/(-4) - (-1)/(-4). Let w = 19 + f. What is the units digit of w?
8
Suppose 0 = -3*j + 148 - 19. What is the units digit of j?
3
Let g be -2 - ((2 - 0) + -2). Let k be g/(-3)*27/6. What is the units digit of -1 + 3 - k/3?
1
Suppose -28 = -2*b + 6. What is the tens digit of b?
1
Suppose 2*d = 6*d. Let a(r) be the third derivative of r**6/120 + r**5/60 + 2*r**3 + r**2. What is the units digit of a(d)?
2
Let h = 177 - 115. Suppose -h = -5*j + 2*b + 3, -2*b = 5*j - 65. What is the tens digit of j?
1
Let t(p) = 4*p**2 + 14*p + 7. What is the units digit of t(-4)?
5
Suppose 0 = -3*b + 7*b - 2*m - 124, -2*b + 54
|
{
"pile_set_name": "DM Mathematics"
}
|
ssuming d is positive.
d**(252/17)
Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive.
s**(-697/25)
Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive.
q**1760
Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive.
k**(2545/207)
Simplify ((v/(v/(v/(v**(1/2)/v*v)))*v*v)/v)/(((v*((v**(2/7)/v)/v*v)/v)/v)/v)*(v*v/(v/(v/(v*(v*v/v**(2/25))/v)*v)))**(-33) assuming v is positive.
v**(-10999/350)
Simplify b**15*b*b**(-1/2)*b*(b**(-3/7))**21 assuming b is positive.
b**(15/2)
Simplify (g**(6/7)*g)/g**(2/73)*g**(-2/13)/((((g*g**7)/g)/g)/g) assuming g is positive.
g**(-22082/6643)
Simplify ((x**22)**(-47))**36 assuming x is positive.
x**(-37224)
Simplify ((r*r/(r**21/r))/(r**(-33)/r*r))/(r**0)**(1/8) assuming r is positive.
r**15
Simplify ((h**(-1/9)/h**(2/13))/((h/h**(-5/3)*h)/((h/(h*h/h**(1/8)))/h)))**(4/33) assuming h is positive.
h**(-5435/7722)
Simplify (c/(c**(-19)*c)*c/(c/(c/(c/((c**(-6/23)*c)/c)))))**40 assuming c is positive.
c**(17240/23)
Simplify (a**(-8)/(a**(1/40)/a))/(a**0/a*a/(a/(a*a*a**(-1/2)))) assuming a is positive.
a**(-301/40)
Simplify (((v**(-1/5))**(-25/3))**(-14/9))**(2/89) assuming v is positive.
v**(-140/2403)
Simplify ((t*t*t*t**(-3/7)*t)/t**(-1))/(t**(9/2)/(t/t**(2/39))) assuming t is positive.
t**(557/546)
Simplify (b*b**3)**5/((b**(-3/10)*b*b)/b*(b**(-4)/b*b)/b) assuming b is positive.
b**(243/10)
Simplify (u**(-5)*u**(-15))/(u/u**10*(u*u*u*u/u**(-1/4))/u) assuming u is positive.
u**(-57/4)
Simplify (q**0)**(-23)/(q/(q/q**(-2/3)*q)*q*q)**(1/63) assuming q is positive.
q**(-1/189)
Simplify ((c/c**(-1/3))/c)**(-6)*(c**(-6))**(-30) assuming c is positive.
c**178
Simplify (w**(-3)/(w*w**8))/(w*w**(-3/17)*(w/w**(-19))/w) assuming w is positive.
w**(-541/17)
Simplify v**(-4/9)*v*v**11*(v/(v/(v*v/(v*v**1))))**(-5/2) assuming v is positive.
v**(104/9)
Simplify (((w*w**(-21)*w*w)/w)/(w*w/((w/((w*w**(-2/23))/w))/w)))**47 assuming w is positive.
w**(-22607/23)
Simplify (t**(-1/4)*((t**(-3/8)/t)/t)/t)/(t**(2/7)*t**(-9/4)) assuming t is positive.
t**(-93/56)
Simplify (s**(9/5)*s**(2/7))/(s/s**(-4))**(-8) assuming s is positive.
s**(1473/35)
Simplify (((g*g*g/(g*g**(-5)*g))**(-45))**9)**(1/53) assuming g is positive.
g**(-2430/53)
Simplify (x/(x/(x**(1/7)/x))*x**(-1/16))/(x**(-19)/(x*x**(-2/7)/x*x)) assuming x is positive.
x**(2105/112)
Simplify (i/i**(-21)*i*i*(i*i**(-14)*i)/i*i)/((i/((i*i**17)/i))/i**30) assuming i is positive.
i**58
Simplify n**(-15)*n*n/(n/(n/(n*n/(n/n**(2/3)*n)*n*n)))*n*(n*n**(-1/9))/(n*n*n**(12/5)) assuming n is positive.
n**(-818/45)
Simplify ((y**(-3)*y)/y**5*y**(-7)/(y**(1/4)*y))**(-2/103) assuming y is positive.
y**(61/206)
Simplify (c/(c/((c**2*c)/c*c)))**13*c*c**(2/9)*c*c**(-12) assuming c is positive.
c**(263/9)
Simplify ((n/(((n*n**(7/4)*n)/n*n)/n))/n**(-2/33))/(n**(-17/4))**(19/6) assuming n is positive.
n**(3107/264)
Simplify ((c/((c/(c*c**(-5/6)*c))/c)*c)/c*c*c)**(-10/13)/(c**(-1)/c)**(-43) assuming c is positive.
c**(-3479/39)
Simplify ((t/(t*t**(-1/5)))**(-8))**(-44) assuming t is positive.
t**(352/5)
Simplify g**(-2/9)*g/((g*g**31)/g)*(g**(3/7)*g)**(-36) assuming g is positive.
g**(-5144/63)
Simplify i**(-7)/(i*i**(-4/7))*(i/i**(12/7))/i*i**21 assuming i is positive.
i**(83/7)
Simplify (b*(b/(b**10/b))/b)/b*b**10*(b**(3/2)/b)**(-13) assuming b is positive.
b**(-11/2)
Simplify ((q**(-22))**(-1/2))**(-2/39) assuming q is positive.
q**(-22/39)
Simplify (z**3)**(-8/7)/(((((z*z/(z*z**(3/8)))/z*z)/z)/z)/(z/(z*z/(z*z**(-5))*z))) assuming z is positive.
z**(-451/56)
Simplify (((f/(f**(-1/7)*f))/(f*f**6*f))/(((f**(3/7)/f)/f)/(f*f**(-1/6))))**(-33) assuming f is positive.
f**(2519/14)
Simplify (c**(-3/4))**48*((c**(-1/4)/c)/c*c)**(-24) assuming c is positive.
c**(-6)
Simplify (c**23*c*c/c**(-4/11))/(c**(-7/3)/c**(-23)) assuming c is positive.
c**(155/33)
Simplify ((t**32)**35)**50 assuming t is positive.
t**56000
Simplify (p*p**(-7))/(p/p**(-1/7))*((p*p/(((((p**(2/45)/p)/p)/p)/p)/p))/p)/(p**(-5/7)*p*p*p) assuming p is positive.
p**(-1094/315)
Simplify ((d*d*d**(-23))/(d/d**(-22)))/((d**13/d)/d**15) assuming d is positive.
d**(-41)
Simplify (i**(-2/15)/(i/i**(-5)))/(i**13/(i*i**(1/6)/i)) assuming i is positive.
i**(-569/30)
Simplify (k**(1/3)*k*k*k*k/(k*k**37)*k)/((k*k**33)/(k/((k/(k**(1/20)*k))/k))) assuming k is positive.
k**(-3877/60)
Simplify (o/(o**(-1/2)*o))/(o*(o/((o*(o/(o/(o**(1/8)/o)*o))/o*o*o)/o*o)*o)/o)*o**(-1/7)/o**(-1) assuming o is positive.
o**(-29/56)
Simplify (
|
{
"pile_set_name": "DM Mathematics"
}
|
).
6592*o**2 - 3
Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)).
20*f**2
Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)).
448780727024450*v**4
Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = -658*f(p) - 5*i(p). Let o(j) = 3*j**2. Calculate x(o(s)).
846*s**4
Let z(k) = k**2 - 412187*k. Let v(x) = 2*x. Calculate v(z(d)).
2*d**2 - 824374*d
Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))?
43681*x**4 + 836*x**3 + 4*x**2
Let r(s) be the third derivative of s**5/60 - s**4/24 - 617*s**3/2 + 17*s**2 + 3*s. Let d(h) = -2*h. Calculate r(d(j)).
4*j**2 + 2*j - 1851
Let a(p) = -97141*p. Let m(y) = 115*y + 2. What is m(a(v))?
-11171215*v + 2
Let i(c) = 2. Let f(s) = 16 - 19 - 7 - 2*s + 0*s. Suppose -8 = 4*r + 12. Let d(l) = r*i(l) - f(l). Let h(o) = -o. What is d(h(x))?
-2*x
Let x(a) = 14509*a. Let b(r) = -1071*r**2 - 1. Determine x(b(h)).
-15539139*h**2 - 14509
Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))?
-169*x**4 + 78*x**3 - 9*x**2
Let z(u) be the first derivative of 3*u**2/2 + 2. Let l(c) = -545*c**2 - 155. Let o(q) = 21*q**2 + 6. Let w(s) = 6*l(s) + 155*o(s). Calculate z(w(a)).
-45*a**2
Let i(d) = -2*d**2. Suppose -6*c - 2*b = -3*c - 69, -b = -3*c + 60. Let n(r) = r - 21 - 18 + 97 - c - 21. Determine i(n(l)).
-2*l**2 - 64*l - 512
Let y(p) be the third derivative of -p**4/12 + 9*p**3 + 4*p**2 + 87. Let z(k) = 63*k. Give y(z(g)).
-126*g + 54
Let r(y) = -88*y**2. Let k(t) = -4310*t**2. What is r(k(z))?
-1634696800*z**4
Let l(z) = -41*z + 49*z - 9*z. Let m(a) = 195*a**2. What is m(l(q))?
195*q**2
Let x(a) = -87934634*a. Let h(p) = p**2. What is h(x(o))?
7732499856713956*o**2
Let z(u) = 124*u**2 + 134*u - 10. Let q(d) = 42*d**2 + 40*d - 3. Let f(c) = 10*q(c) - 3*z(c). Let r(a) = -21*a. Determine f(r(p)).
21168*p**2 + 42*p
Let w(t) = -24823*t - 25001*t - 24166*t + 75028*t. Let g(z) = 3*z. What is g(w(o))?
3114*o
Let h(a) = a. Let t(p) = -74 + 10058*p + 35 + 39. What is t(h(r))?
10058*r
Let r(b) be the first derivative of -4*b**3/3 - 4462. Let o(y) = -1831*y. Calculate o(r(k)).
7324*k**2
Let m(n) = 3436*n**2. Let v(b) = 7*b**2 - 18*b - 2. Let t(u) = 45*u**2 - 117*u - 13. Let q(c) = 6*t(c) - 39*v(c). Give m(q(l)).
30924*l**4
Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)).
686*f**2
Let i(o) = -157259*o**2. Let w(q) = 195*q. Determine i(w(a)).
-5979773475*a**2
Let l(g) = 15*g. Let t(m) = -185*m**2 - 50823*m + 50823*m. Calculate t(l(i)).
-41625*i**2
Let n(c) = -134 - 16 + 150 + 18*c. Let x(q) = -60*q**2. Calculate x(n(y)).
-19440*y**2
Let g(q) = 4584689*q - 4584689*q - 3*q**2. Let v(r) = 2*r**2 + 147*r. What is v(g(d))?
18*d**4 - 441*d**2
Suppose 0 = 2*k + 76 - 86. Let r(i) = -8*i**2. Let j(o) = -18*o**2. Let u(l) = k*r(l) - 2*j(l). Let g(m) = -3*m**2. Determine u(g(y)).
-36*y**4
Let v be 4/(-3)*(-8 - -7)*21. Let x(f) = 15*f - v*f + 9*f + 6*f. Let i(m) = 6*m - 9*m - 12*m. Determine x(i(r)).
-30*r
Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)).
-1340964*x**2 - 2316*x - 1
Let p(o) = 1458*o. Let r(s) = 2*s**2 - 46 + 46 + 58*s - 58*s. Calculate p(r(l)).
2916*l**2
Let z(w) = 4*w + 2*w - 6 + 6. Let l(p) = -18*p - 13*p + 31*p + 20*p**2. Calculate l(z(k)).
720*k**2
Let c(p) = 7*p**2 + 9*p. Let x(f) = 5*f**2 + 6*f. Let i(t) = 2*c(t) - 3*x(t). Let b(r) = 3*r + 4. What is b(i(h))?
-3*h**2 + 4
Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1/30*n**k + 0*n**3 - 13*
|
{
"pile_set_name": "DM Mathematics"
}
|
) 0.4 (c) -2/7 (d) 1/4
a
Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3
b
Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5
a
Let n = -3611/2410 - 2/1205. What is the nearest to n in -1/6, 3, 1/2, 2/7?
-1/6
Let o = -1742 + 1742.3. Let i be ((-55)/22)/((-1)/(-2)). What is the nearest to 0.1 in i, o, -1/11?
-1/11
Let t = 0.034 - -1.966. Let m = -443 - -424.3. Let z = 19 + m. Which is the nearest to -1? (a) t (b) z (c) 1
b
Suppose -36 + 38 = -f. Let s = -0.198 + 8.048. Let k = -0.15 - s. What is the closest to f in k, -5, 0.5?
0.5
Suppose -1 = -12*r + 23. Let j be r*(18/(-6))/3. Suppose s + 0 = 4*q - 15, 4*s = 3*q - 8. Which is the closest to 2/7? (a) s (b) 0.2 (c) j
b
Let l = -51.1 + -4.9. Let g = 55.3 + l. What is the nearest to -4 in -4, g, 0?
-4
Suppose 106 - 119 = -7*h - 5*q, -3*h = 5*q - 17. Which is the nearest to 5? (a) 70 (b) -4 (c) h
c
Let f(i) = 31*i - 1112. Let m be f(36). Which is the closest to 3? (a) m (b) -1/2 (c) 0.22
a
Let i be (-180)/210*(23/16 + -1). Which is the closest to -0.08? (a) -1/2 (b) i (c) 3/4 (d) -1
b
Let f = 0.857 + 4.143. Which is the closest to -2? (a) f (b) 4 (c) 83
b
Let i = -2.658 - -2.158. What is the closest to i in -4, -2/9, 0.4, -2?
-2/9
Let y = 5.5 - 0.5. Let z = y + -5. Suppose -38*o + 426 = -251*o. Which is the closest to -0.3? (a) -0.1 (b) z (c) o
a
Let x be (335/1675)/(-1*(-1)/(-2)). Which is the closest to x? (a) 0 (b) 13/8 (c) -1
a
Let q = 13 + -12.8. Let h = -1.5 - 1.7. Let s = q + h. What is the closest to 15 in s, 2/11, 0.1?
2/11
Let j = 13.5 - 0.5. Let x = 13 - j. Let z = 0.6 + 1.4. Which is the closest to x? (a) -6 (b) -1 (c) z
b
Suppose -72 = 6*g + 78. Let j be -1*g/(-10)*(-1)/5. Let m = 62 + -493/8. What is the nearest to -0.6 in m, j, -1?
-1
Let z = 0.77 + -0.48. Let h = 1323.29 + -1321. Let l = z - h. Which is the closest to 1/4? (a) l (b) -0.4 (c) 4
b
Suppose 3*u - 2*s + 11 = 4*u, 2*u = -5*s + 26. Let t = -926 + 927. Which is the closest to t? (a) u (b) 22 (c) 2/9
c
Let v = -4969/3 + 1642. Let w = v - -77/6. What is the nearest to w in 2/7, 3, -3, -70/9?
-3
Let n = 0.6 - 0.4. Suppose -17*g - 5 - 1 = -6. What is the nearest to g in n, -0.05, -1?
-0.05
Suppose 6*o = 13*o - 14. Suppose 0 = -o*h + 14 - 24. What is the closest to 0 in 0, 2/7, h?
0
Let b = -27 + 27.3. Let m be 6/21 - (-346)/14. What is the closest to m in -1, -0.5, b?
b
Let h = 17.701 + -13.701. Which is the closest to 0? (a) h (b) -5 (c) -2/15 (d) -1/4
c
Let d be (-1)/9*(-978)/(-163). Which is the nearest to 2/9? (a) d (b) 0.4 (c) 0.9
b
Let q = 37.09 - 36.89. What is the closest to 1.3 in -27, 3, q, 4?
q
Let o be (-2 - -4)/(-1)*-1. Let y = 0.8 - -0.2. Let n = 71/2 + -1345/38. Which is the nearest to y? (a) 3 (b) n (c) o
b
Let p = -2/23 + 98/69. Let l = 34.2 + -36. Let f = l - -1.9. Which is the nearest to 1/3? (a) 1/3 (b) p (c) f
a
Suppose -77*q = -9*q - 10*q + 638. What is the closest to q in -0.08, -1/6, -0.1?
-1/6
Suppose 6*u - 40*u = -272. What is the nearest to 0 in 0.5, 0.04, -2, u?
0.04
Let f be (-2)/6 + 66/90. Let b = 21065.97 + -21066. What is the closest to f in b, -1/11, 1/5?
1/5
Suppose -2*p + 25 = -5*k - 5*p, 0 = -5*k + p - 5. Let i = 55577 - 55574. Which is the nearest to k? (a) 2 (b) i (c) 4
a
Let z = 755.52 - 775. Let i = z + -0.52. Let x = -20 - i. What is the nearest to -1 in 1, x, 2/7?
x
Suppose -34*g = -g. Suppose 19*w = 15*w + 8. What is the nearest to 3 in g, 1, w, -7?
w
Let n = 6 - 2. Suppose -n*s - 93 = 5*u, 4*u = -3*s + 7*s - 96. Let g be 27/u + (1 - 0) + 0. Which is the nearest to -2/5? (a) 0 (b) g (c) 0.5
b
Suppose -1 = 2*n - 3*k + 11, -n + 3*k = 9. What is the nearest to 1 in n, 0.0643, 4?
0.0643
Let g = -7792 + 7868. Which is the closest to 2/7? (a) 10 (b) -2 (c) 0.4 (d) g
c
Let x = 10376 + -10708. Which is the closest to -3? (a) x (b) 2 (c) -0.5 (d) -2/13
c
Suppose 476*i - 368*i = 324. Which is the closest to -0.4? (a) -0.07 (b) i
|
{
"pile_set_name": "DM Mathematics"
}
|
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l?
0.3
Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4
a
Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value in 1/2, l, 8, u?
l
Let r = 1858 - 1850. Let i = 0.5 - 0.6. Which is the smallest value? (a) r (b) 4 (c) -0.4 (d) i
c
Let q = -207.6 + 205.3. Which is the third smallest value? (a) 0.1 (b) q (c) 4
c
Let f(l) = l**3 - 23*l**2 - 114*l + 164. Let o be f(27). What is the third biggest value in 27, o, 19/3?
o
Let q = 10186 + -10109. Which is the second smallest value? (a) 2/15 (b) q (c) 0.1 (d) 5
a
Suppose -340 = 2*q + 15*q. Let o be (-2 + 7)*(-3 - 64/q). Which is the second biggest value? (a) 0.4 (b) -1 (c) o
a
Let f = 2.504 - 2.464. Which is the smallest value? (a) -1/16 (b) -2 (c) f (d) -1
b
Let a = 5944 - 5944.2. What is the third smallest value in a, 1/8, -0.7, -1/9, -1/2?
a
Let x = -1052 + 1052. Which is the smallest value? (a) x (b) 1.3 (c) -0.9 (d) -3/7
c
Let t = 94/11 - 387/44. Let f = -9.27 + 9.28. Which is the smallest value? (a) t (b) -0.4 (c) f
b
Let i = 20219 + -20219.5. Let n(y) = -14*y**2 + y. Let j be n(-4). Let l = j + 1602/7. Which is the second smallest value? (a) l (b) i (c) -4
b
Let h be (46/(-540))/(2/(-6)). Let i be 2/44*-4 - 141/(-594). Let l = h - i. What is the second smallest value in l, -5, -2, -3?
-3
Let r = -0.076 + -89.924. Let f = -89.76 - r. Let s = -1.76 - f. Which is the biggest value? (a) s (b) -2/11 (c) -5
b
Let a = -0.2577 - 39.5423. What is the biggest value in a, -1/5, 0.5?
0.5
Suppose 0 = -4*z + 3*t + 8, 7 = -2*z - 2*t + 11. Suppose -o = z*g - 1, g - 8 = -g. Let r = 0.01 - 2.01. Which is the biggest value? (a) r (b) o (c) 0.2
c
Let u = -23513 + 23511. Which is the biggest value? (a) -1/3 (b) u (c) -0.5
a
Let n be 0 - -4 - ((1045/(-57))/(-11) + 2). Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 3 (d) 2.62 (e) n
c
Let q(y) = y**3 + 9*y**2 + 26*y + 19. Let n be q(-4). What is the second biggest value in 2, -13, -1/5, 0, n?
0
Let i = 110.61 - 110.01. Which is the third biggest value? (a) i (b) 8/3 (c) -2
c
Let f = 4 - 37/9. Let d = -131 - -75. Let z be -2 - d/(-30) - (-7 + 3). Which is the smallest value? (a) 4 (b) z (c) f
c
Let q = 407 - 405. Suppose 5 = n - f - 9, 0 = 3*n + q*f - 17. Which is the smallest value? (a) -0.1 (b) n (c) -5 (d) 0
c
Let m = 21.976 + 0.024. Let y = -28.3 + m. Let c = -2.3 - y. What is the second biggest value in -3, -3/8, c?
-3/8
Let y = -0.292 + 0.207. Let u = y + 4.085. Which is the smallest value? (a) u (b) 8 (c) -2 (d) -4
d
Let y = -18191 - -18191.4. Which is the biggest value? (a) y (b) 4/5 (c) 29.2
c
Suppose 22 - 38 = 3*g - 5*n, 0 = 3*g - 2*n + 10. What is the second smallest value in g, -0.4, -44?
g
Let v(c) = -2*c - 12. Let p be v(-8). Suppose -9*o = -p*o - 10. Let n be (o/(-18))/((-10)/(-75)). What is the second biggest value in 1, n, 1.2?
1
Let h = 3137 - 3137.514. Which is the biggest value? (a) 0.1 (b) h (c) 3/5 (d) -5 (e) -0.5
c
Let h = -4327 + 4327.3. Let l be (-19 - -4)/(2/2). Let i be -1*(-3)/l*-3. What is the third smallest value in -7, h, i?
i
Let o = -124 - 170. Let p = o - -257. What is the second biggest value in 1/2, p, -1/3?
-1/3
Let j = 1471 - 1470.6. Which is the third biggest value? (a) 0.1 (b) j (c) 3 (d) -6 (e) -0.2
a
Let v = 0.3 - 0.3. Let i = v + 5. Let n = 3.211 + 0.789. What is the second biggest value in -1, i, n?
n
Let m be 731/(-1190) - (2 + (-217)/98). Let w(t) = t**3 - t**2 + 3*t + 1. Let x be w(-2). Which is the smallest value? (a) 5/2 (b) x (c) m (d) -1/3
b
Suppose -3*m + 0 = h - 4, -5*h = -5. Let g = 8.84 + -6.84. What is the second smallest value in 18, m, g?
g
Let z be ((-5)/15)/(19/(-399)). Which is the fifth biggest value? (a) 3 (b) z (c) -1/2 (d) -5 (e) 2/3
d
Let y be (8 + 15)/(-276) - (5/3)/(-5). Which is the third biggest value? (a) -0.1 (b) 7662 (c) 3 (d) y
d
Let s = -13/17 - -307/357. Let f = 82.24 + -86. Let m = f - 0.24. Which is the third biggest value? (a) s (b) -0.7 (c) m
c
Let s be (2*(-4)/(-6))/(-1 + (-90)/(-27)). What is the third smallest value in 20.73, 3, s, 5?
5
Suppose -6*q = q + 280. Let m be 2*(-2 + (-68)/q). Let v be (-57
|
{
"pile_set_name": "DM Mathematics"
}
|
2288160*f**3
What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2?
163620*y**2 - 432*y + 18
What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c?
-120*c**3*p + 12*p**2 - 22836
What is the second derivative of 9*m**4 + 26*m**3 - 61*m**2 - 192*m - 318 wrt m?
108*m**2 + 156*m - 122
Find the third derivative of -543*g**4 + 61*g**3 - 2*g**2 + 19265*g wrt g.
-13032*g + 366
Differentiate 241*i*l**2*u - 11*i*l*u + 119*i*u - 61*i + 3*l**2*u - 1 wrt l.
482*i*l*u - 11*i*u + 6*l*u
What is the third derivative of 1252918*o**5 - 6*o**2 + 238*o - 6?
75175080*o**2
Differentiate -109468*k**2*s - 191*k**2 - s - 71 wrt s.
-109468*k**2 - 1
Find the second derivative of -69671*q**2 + 6*q + 4742 wrt q.
-139342
What is the second derivative of -11720*a**2*u**2 + a**2 - 2473*a*u + 4*u**3 wrt u?
-23440*a**2 + 24*u
What is the derivative of -83*k**2*u + 30871*k*u - 253385*u + 1 wrt k?
-166*k*u + 30871*u
Differentiate 88*f**2*o**2 + 5266467*f**2 + 2*f*o + 6142*o wrt o.
176*f**2*o + 2*f + 6142
What is the first derivative of 4655*h*l**3*p + 2*h*l**3 - 4*h*l**2 + 6*h*p - 1071 wrt p?
4655*h*l**3 + 6*h
Find the second derivative of -y**4 - 1646*y**3 + 4*y**2 - 25009*y wrt y.
-12*y**2 - 9876*y + 8
Find the second derivative of -317884*g**3 + 250093*g wrt g.
-1907304*g
Find the first derivative of -247*l**2*w + 3*l**2 - l*w**2 + l*w - 6491*w**2 wrt l.
-494*l*w + 6*l - w**2 + w
What is the second derivative of 12113*h*t*u**2 - 2036*h*t*u - 2*h*t - 17*h*u + t*u**2 wrt u?
24226*h*t + 2*t
What is the second derivative of 4*s**4 + 34*s**3 + 9*s**2 - 1807*s + 1?
48*s**2 + 204*s + 18
What is the third derivative of 17023*y**5 - 52213*y**2 wrt y?
1021380*y**2
What is the first derivative of -1466339*v - 1034567?
-1466339
Find the second derivative of -2*c**2*i**2*u**2 + 4*c**2*i**2*u + 16354*c**2*i*u**2 + 3861*i**2*u wrt u.
-4*c**2*i**2 + 32708*c**2*i
Find the first derivative of 1035*w**2 - 93*w - 426453 wrt w.
2070*w - 93
What is the derivative of -3*f**4 - 4252*f - 7599 wrt f?
-12*f**3 - 4252
What is the second derivative of -2*c*n**3 + 25931*c*n**2 - 18*c*n + 99*c - 2*n**3 + 4*n + 6 wrt n?
-12*c*n + 51862*c - 12*n
Find the third derivative of -6*k*y**4 - k*y**3 + 137*k*y**2 - 772*y**4 - y**3 + 934*y**2 wrt y.
-144*k*y - 6*k - 18528*y - 6
Find the second derivative of -8*l**5 - 12*l**3 - 511*l**2 + 403*l + 112 wrt l.
-160*l**3 - 72*l - 1022
What is the third derivative of -2*l**5 - 24392*l**3 - 54434*l**2 wrt l?
-120*l**2 - 146352
What is the third derivative of -2*p**3*q**2 + 25708*p**3*q - 4*p**3 + 477*p**2*q**2 - 282*p**2*q - p**2 + 2*p + 2*q wrt p?
-12*q**2 + 154248*q - 24
What is the third derivative of -607*i**6 + 41*i**4 + 170228*i**2 wrt i?
-72840*i**3 + 984*i
Find the third derivative of -d*o**3*q**3 + 74193*d*o**3*q + 16*d*o**2*q - 2*d*o*q + 10*d*o - o**2*q**3 wrt o.
-6*d*q**3 + 445158*d*q
Find the second derivative of -189362*o**4 - 23114*o.
-2272344*o**2
Find the second derivative of 2*n**5 + 93554*n**4 - 2*n**2 + 114194*n.
40*n**3 + 1122648*n**2 - 4
Find the second derivative of 13*r**2*u**2*y + 2*r**2*u**2 + 2*r**2*u*y - 2*r**2 + 23*r*u*y - 75*u**2*y + 2*u**2 - 4*u + 2*y wrt u.
26*r**2*y + 4*r**2 - 150*y + 4
What is the second derivative of -7*k**4*p - 8478*k**4 - 2*k*p + 2*k - 10*p + 1260 wrt k?
-84*k**2*p - 101736*k**2
What is the second derivative of -2*g**3*l**2 + 2*g**3*l - 1235*g**3 + 21519*g*l**2 wrt g?
-12*g*l**2 + 12*g*l - 7410*g
What is the third derivative of 2*w**6 - 18534*w**4 + 6*w**2 - 3*w + 1248?
240*w**3 - 444816*w
Differentiate 32*h*k*w + 3*h*k - 115*h*w + 2*h + 1662*k*w + 104*k with respect to h.
32*k*w + 3*k - 115*w + 2
What is the derivative of -2*j**2*u*w + 386*j**2*u - 36*j**2 + 208*j*u*w**2 + j*u + 22*j*w**2 - 2*j wrt w?
-2*j**2*u + 416*j*u*w + 44*j*w
What is the second derivative of -8684*c**2*s*u**2 + 5*c**2*s*u + 154*c**2*u wrt u?
-17368*c**2*s
Find the third derivative of -53653*y**3 - 60*y**2 - 112.
-321918
What is the third derivative of -7845*o**4 + 22*o**3 - 2*o**2 + 266629*o?
-188280*o + 132
Find the third derivative of -2111945*i**5 - 10*i
|
{
"pile_set_name": "DM Mathematics"
}
|
increasing order.
-53, -6, -4/3
Put -1/2, 5, -0.06, 48/7, -5 in descending order.
48/7, 5, -0.06, -1/2, -5
Sort -569, 1/4, 1.
-569, 1/4, 1
Sort -264, -5, -3, -1, -4 in descending order.
-1, -3, -4, -5, -264
Sort -7, 4, -2.
-7, -2, 4
Put 4, -6, -5, 0, 12 in ascending order.
-6, -5, 0, 4, 12
Put 2, -43, -10, -4, 1 in increasing order.
-43, -10, -4, 1, 2
Put 0.012, 0.4, 8 in increasing order.
0.012, 0.4, 8
Sort -16995, -3, -5 in ascending order.
-16995, -5, -3
Sort 2/25, 19, -0.1 in increasing order.
-0.1, 2/25, 19
Put -1, 0, -3, 28 in decreasing order.
28, 0, -1, -3
Put -3/8, 1/18, 1 in ascending order.
-3/8, 1/18, 1
Put 0.14, -2, 1/12 in decreasing order.
0.14, 1/12, -2
Sort -3, -2/5, 113, 2/5 in descending order.
113, 2/5, -2/5, -3
Sort 4, 925, -4 in ascending order.
-4, 4, 925
Sort 3, 24, 0.5 in descending order.
24, 3, 0.5
Sort -24, 1/5, -2, 3 in decreasing order.
3, 1/5, -2, -24
Sort -14, 5, -3, 1.
-14, -3, 1, 5
Sort -4, 12, -11, 3 in decreasing order.
12, 3, -4, -11
Put 23, -12, -1 in descending order.
23, -1, -12
Put 18, 3, 11, -4 in ascending order.
-4, 3, 11, 18
Sort 0, 162, -13, 2 in decreasing order.
162, 2, 0, -13
Put -2, 20, 133, -4 in ascending order.
-4, -2, 20, 133
Put 3/5, -2/13, 0.025 in descending order.
3/5, 0.025, -2/13
Put -5, 7, 121, 0.5 in decreasing order.
121, 7, 0.5, -5
Put -4, 3.8, 0, 0.2, -3.7 in descending order.
3.8, 0.2, 0, -3.7, -4
Sort -3/4, -0.4, -4, 0.2, -47/2 in decreasing order.
0.2, -0.4, -3/4, -4, -47/2
Put -3, 1, -5, -1 in increasing order.
-5, -3, -1, 1
Sort -3, -3/7, -35 in increasing order.
-35, -3, -3/7
Put -9, 66, 3 in descending order.
66, 3, -9
Sort -18, 9/7, -2/9, 0 in ascending order.
-18, -2/9, 0, 9/7
Sort -3/7, 3/41, 1 in ascending order.
-3/7, 3/41, 1
Sort 5, 2, 39, -2 in increasing order.
-2, 2, 5, 39
Put -3, 87, 1, 5, -1 in decreasing order.
87, 5, 1, -1, -3
Sort 5, -0.0424, -0.3 in ascending order.
-0.3, -0.0424, 5
Sort -0.03, -2, -4, 2/29.
-4, -2, -0.03, 2/29
Sort 2727, -2, -5 in descending order.
2727, -2, -5
Sort -0.4, 3, -2685/4, 0, 5 in ascending order.
-2685/4, -0.4, 0, 3, 5
Sort -0.16, -2/9, 0.6.
-2/9, -0.16, 0.6
Sort 5, 4, -1, -19 in descending order.
5, 4, -1, -19
Put 4, -100, -4, 7, -5 in descending order.
7, 4, -4, -5, -100
Sort 2, 3, 0, 8 in increasing order.
0, 2, 3, 8
Put 0, 54, -52 in ascending order.
-52, 0, 54
Sort -189, 2, 4 in decreasing order.
4, 2, -189
Put -3/5, 8, 0.1, -0.1 in increasing order.
-3/5, -0.1, 0.1, 8
Sort 0, -5, 13 in increasing order.
-5, 0, 13
Sort 3, -12, -5, 1.
-12, -5, 1, 3
Sort 15, 0, 65 in ascending order.
0, 15, 65
Put -3, -5, 31 in descending order.
31, -3, -5
Sort 6, -3, -4, -1 in descending order.
6, -1, -3, -4
Put 27, 9, -5 in ascending order.
-5, 9, 27
Put -63, -1, 13, 4, 1 in decreasing order.
13, 4, 1, -1, -63
Put -3, -8, 2, 0.02 in increasing order.
-8, -3, 0.02, 2
Sort 0, 3, -4, 5 in decreasing order.
5, 3, 0, -4
Put -2, -0.02, -1.73 in descending order.
-0.02, -1.73, -2
Put -0.05, -1/2, 4, -3/2 in ascending order.
-3/2, -1/2, -0.05, 4
Sort -2, 5, -48, 4, -4.
-48, -4, -2, 4, 5
Sort 1/3, 0, -292, 1/9 in decreasing order.
1/3, 1/9, 0, -292
Sort 0.4, 1.8, 5, -2/15, -3.
-3, -2/15, 0.4, 1.8, 5
Sort -4, -1, -84 in decreasing order.
-1, -4, -84
Sort 5, 61, 4, 3, 9.
3, 4, 5, 9, 61
Sort 44, -5, 0 in increasing order.
-5, 0, 44
Put -5, 12, 9, 11 in increasing order.
-5, 9, 11, 12
Sort 0, -15, 104, 5 in ascending order.
-15, 0, 5, 104
Sort 1, 16, 2, -5, 0 in ascending order.
-5, 0, 1, 2, 16
Sort 5, 0.5, 9, 0.3, -1/2 in descending order.
9, 5, 0.5, 0.3, -1/2
Put 2, -2, 32, 3, 5 in increasing order.
-2, 2, 3, 5, 32
Put -12, 3, 6, 8 in decreasing order.
8, 6, 3, -12
Put -2/15, 0.5, -1.23, -5, 0.2 in increasing order.
-5, -1.23, -2/15, 0.2, 0.5
Sort 0.52, -0.4, 0.3 in increasing order.
-0.4, 0.3, 0.52
Sort 9, 3, 140 in descending order.
140, 9, 3
Sort -2, 0, 3.
-2, 0, 3
Sort -2/3, -1.4, -1/3, 1/6, 2/5 in ascending order.
-1.4, -2/3, -1/3, 1/6, 2/5
Sort 0.3, 0.5, -241 in ascending order.
-241, 0.3, 0.5
Sort -112, -5, -1, 5, 2 in ascending order.
-112, -5, -1, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
creasing order.
-4, r, 0.1, 1/5
Let l = 9 + 64. Let w = l + -76. Sort -20, w, 1/2.
-20, w, 1/2
Suppose 8*v + 24 = 4*v. Let u be (3 - 1)*v/20. Suppose -4*f + 4 = -0*f. Put f, 0.2, u in increasing order.
u, 0.2, f
Suppose 0 = -p + 2, 4*h + 64 = -5*p + 3*p. Let s = -14 - h. Put 5, 1, s in descending order.
5, s, 1
Let r = -1118 + 1121. Sort -2, 2, r, 29 in decreasing order.
29, r, 2, -2
Let z(j) be the first derivative of -j**2/2 + 10. Let q be z(-4). Suppose -q*d + 2*y = -8*d + 6, -2*y = -10. Sort d, 3, 0 in descending order.
3, 0, d
Let i(x) = -x**3 + 8*x**2 + 8*x + 9. Let b be i(9). Let l be (-3)/(-3) + 3 + -1. Let c = 0 + l. Sort -5, b, c.
-5, b, c
Let l(v) = -v**3 - v**2 - 4*v - 3. Let i be l(-3). Suppose -i = -3*d - 4*f + 8, -3*f + 10 = -d. Let p = -6.3 + 5. Put 0, d, p in descending order.
d, 0, p
Let h(y) = y**3 + 3*y**2 - 5*y - 4. Let c be h(-4). Let z = -5 - -4. Put c, -5, z in decreasing order.
c, z, -5
Let s = 0.0209 - 0.3209. Sort 1, 10, s, 4.
s, 1, 4, 10
Let i(d) = 15*d**2 - d - 1. Let m be i(-1). Let l = 77/5 - m. Let k = -35.45 + 34.85. Sort l, k, 0.5 in increasing order.
k, l, 0.5
Let y be 10/(-4) + 234/12. Suppose y*i - 23*i - 30 = 0. Sort i, -4/5, 0, -1 in descending order.
0, -4/5, -1, i
Suppose -3*r - 5*j = -4, -2*r + 2 = j - 10. Let u(t) = t - 10. Let c be u(r). Sort c, 0.1, 3.
c, 0.1, 3
Let w(o) = -2*o**2 - 59*o - 250. Let t be w(-5). Sort -3, 2, t, 12 in descending order.
12, 2, -3, t
Let z = 16.82 + 0.18. Let t = z - 9. Let d be ((-6)/10)/(3/2). Sort t, d, 2/9.
d, 2/9, t
Let i(v) = v**3 + 12*v**2 + 35*v - 6. Let k be i(-6). Let j = 21 - 21.9. Let d = -0.5 - j. Sort -5, k, d in descending order.
d, k, -5
Let d(s) = -3*s**2 + 26*s + 16. Let p be d(9). Let z be (50/4)/5*2. Put 2, 1, z, p in increasing order.
1, 2, z, p
Let o(r) = 2*r**2 - r - 1. Let t be o(4). Suppose 28*g - t*g - 6 = 0. Sort g, 3, 4/3 in decreasing order.
g, 3, 4/3
Let c = -92 - -81. Put 1, -5, -2, c in descending order.
1, -2, -5, c
Let x = -335 - -331. Put -5, x, 23 in increasing order.
-5, x, 23
Let p be (-21)/(-18)*4/21. Suppose 0 = -3*l - 4*r - 14, -27 = -0*l + 5*l + 3*r. Let i be (6/22)/(9/l). Put p, -3, i in decreasing order.
p, i, -3
Suppose -2*c + 3*s = 17, -4*c + s + 2*s = 25. Let y be (2 - 3)/(1/c). Suppose -3*r + y*k + 24 = 0, 5*r - k + 5*k = 40. Put 5, r, -1 in ascending order.
-1, 5, r
Suppose 19*x - 24 = 11*x. Sort -8, 2, 0, x in decreasing order.
x, 2, 0, -8
Let y(z) = -z**3 + 6*z**2 + 6*z + 13. Let x be y(6). Let t = x - 44. Put -1, -5, 2, t in increasing order.
-5, -1, 2, t
Suppose 2*p - 5 = -5*j, -11*p = -2*j - 7*p - 22. Sort 18, 1, 2, j.
j, 1, 2, 18
Suppose 0 = -4*w + 20*l - 19*l + 12, 0 = w - 2*l + 4. Let j = -0.1 + 0.3. Let g = j - 0.1. Sort -2/23, w, g in increasing order.
-2/23, g, w
Let g = -815 - -812. Suppose a + 18 = 5*j - a, -3*a = -5*j + 17. Suppose -4*b + 2*b = -3*p + 15, 2*b + 20 = j*p. Sort -4, g, b in decreasing order.
b, g, -4
Let l = 6 - 7.4. Let q = -0.9 - l. Let k be (2 + -1)/(5 - -1). Sort q, -6, k in increasing order.
-6, k, q
Suppose -2*d + 3*d = -4. Suppose 0 = -3*c - 2*p - 21, 4*c - 3*p + 23 = -4*p. Suppose -3 = 4*l - 7. Put c, d, l in decreasing order.
l, d, c
Let s = 16 + -46. Let g = 34 + s. Put g, -5, -2 in ascending order.
-5, -2, g
Suppose -3*z = 4*q - 3*q + 4, 2*q = -z - 3. Let c(o) = -o**3 + 15*o**2 + 15*o + 21. Let g be c(16). Sort z, 3, g in ascending order.
z, 3, g
Let f(y) = -3*y - 2. Let p be 2/7 - (-1)/(35/(-10)). Let s be f(p). Put s, 0, -1 in descending order.
0, -1, s
Suppose -i - i + 3*c - 8 = 0, -i = -c + 3. Sort 5, i, 0 in descending order.
5, 0, i
Let g = 13.06 + -0.06. Let k = g + -10. Sort k, -1, -2 in ascending order.
-2, -1, k
Suppose 28*f - 32*f = 4*w - 8, -4*f = 4. Put 0, w, -6, -3 in ascending order.
-6, -3, 0, w
Let n = 745.7 - 747. Sort -0.3, n, -0.5, 2 in descending order.
2, -0.3, -0.5, n
Let k = -1.1 - -1. Let c = -37.25 + 35. Let q = -0.25 - c. Put k, q, 1 in descending order.
q, 1, k
Let f = -143 - -147. Suppose 0 = 2*g - n + 7, 0*n + f = g - 2*n. Sort 4, -5, 5, g in ascending order.
g, -5, 4, 5
Suppose -434*n + 451*n - 68 = 0. Let z = -2 - -5. Sort -7/4, n
|
{
"pile_set_name": "DM Mathematics"
}
|
h is the biggest value? (a) -1 (b) -17.3 (c) 0.3
c
What is the smallest value in 1/5, 0.05, 76, -0.1, -1?
-1
What is the biggest value in -81, -0.1, 4?
4
What is the fourth smallest value in 0, -7, -87, 2/11?
2/11
Which is the third biggest value? (a) 0.5 (b) 1 (c) -0.08
c
Which is the fourth biggest value? (a) -2/5 (b) 1/5 (c) -5 (d) -120
d
Which is the smallest value? (a) 1/5 (b) -5 (c) 1/8
b
What is the fourth smallest value in 11/4, -0.2, -1, -2?
11/4
What is the smallest value in 0, -1.6, -0.2?
-1.6
What is the smallest value in 6, 4, 0?
0
Which is the third biggest value? (a) 2/5 (b) -34 (c) 0 (d) -10
d
Which is the second biggest value? (a) 1.6 (b) 3/2 (c) -87
b
What is the fifth biggest value in -5, 0.06, -2, -3, 0.6?
-5
Which is the fifth smallest value? (a) 1/20 (b) 2 (c) 23 (d) -1 (e) -3
c
What is the second smallest value in -237, 1, -1/5, -0.4?
-0.4
Which is the third smallest value? (a) -0.2 (b) -0.04 (c) -0.09 (d) -0.4
c
Which is the fourth biggest value? (a) -1/7 (b) 1/3 (c) -2/13 (d) 1.4 (e) 5
a
What is the third smallest value in 0, -4, -2, 1?
0
Which is the third biggest value? (a) 2/3 (b) -13 (c) -11 (d) -2/3
c
What is the biggest value in -2/15, -13/2, 0, 4, 2?
4
Which is the smallest value? (a) -2/11 (b) -1 (c) 62 (d) 3
b
What is the biggest value in -4/7, -4, 1/7?
1/7
What is the smallest value in -3, -5, 3715?
-5
What is the third biggest value in 5, 421, -1/3?
-1/3
What is the biggest value in 0.1, 50, 27, 2?
50
Which is the second biggest value? (a) 1 (b) 0.3 (c) 10 (d) -26 (e) -0.1
a
What is the second biggest value in -3, -4, -10?
-4
Which is the biggest value? (a) -0.3 (b) 5 (c) 0 (d) 1/50
b
What is the second smallest value in -0.4, -2/7, -1, 2/13?
-0.4
Which is the fourth biggest value? (a) -4/3 (b) -1 (c) 2 (d) 5 (e) -0.1
b
What is the smallest value in -4, 0.2, -5, 3?
-5
What is the smallest value in -0.3, 0.0603, -1?
-1
Which is the third biggest value? (a) -13 (b) 0 (c) 1.1
a
Which is the smallest value? (a) 1 (b) -0.2 (c) 3/5 (d) -4
d
What is the biggest value in -0.5, 2.9, 2/359?
2.9
Which is the third smallest value? (a) -1 (b) -2/11 (c) -134 (d) 4
b
What is the second smallest value in -2/105, 0, -4, -5?
-4
What is the second biggest value in -43, -8.7, -1?
-8.7
Which is the second biggest value? (a) -31 (b) -4 (c) -5 (d) 0.5
b
What is the smallest value in -41, 3, 1.1?
-41
Which is the third smallest value? (a) -11 (b) -0.09 (c) -4/7 (d) -2/5 (e) 1
d
Which is the third biggest value? (a) 7 (b) 3/2 (c) -5
c
What is the second smallest value in -0.2, -4, -295?
-4
What is the third biggest value in 0.22, -3, 1/3, 3/5, -5?
0.22
Which is the biggest value? (a) -15 (b) 2/21 (c) -4/5 (d) -0.3
b
Which is the third smallest value? (a) -0.1 (b) 164 (c) -2
b
Which is the third smallest value? (a) 3 (b) -32 (c) -0.6
a
What is the fourth biggest value in 9, 0.5, -10, 0?
-10
What is the fourth smallest value in 0.9, -0.5, 4, 0.3?
4
What is the third smallest value in 32, 2, -1, -18?
2
Which is the fifth biggest value? (a) 1/3 (b) 2 (c) -0.4 (d) -4 (e) 7/3
d
Which is the smallest value? (a) -2/251 (b) 5 (c) 10.6
a
Which is the fourth biggest value? (a) -1/5 (b) -41 (c) 0 (d) -2/11
b
What is the biggest value in -5, 1, 0, -2/17?
1
What is the smallest value in 2, 88, 0?
0
What is the third smallest value in 90, -1/2, 1, 3/5?
1
Which is the biggest value? (a) -1 (b) -5 (c) -10
a
What is the second biggest value in 2/19, 4/5, -9?
2/19
Which is the third biggest value? (a) -1 (b) 0.1 (c) 3/5 (d) 0.4
b
Which is the second biggest value? (a) 2/11 (b) 0.3 (c) -2 (d) -5
a
What is the third smallest value in -3, 0.041, -28?
0.041
What is the third biggest value in -0.5, 3/4, 163?
-0.5
Which is the biggest value? (a) 18 (b) 1 (c) 12
a
Which is the fifth smallest value? (a) -0.06 (b) -1 (c) 1 (d) -0.6 (e) -2
c
Which is the fourth smallest value? (a) 3/2 (b) -2 (c) -5 (d) -155
a
What is the third smallest value in 0.04, -5/21, -3/13?
0.04
Which is the smallest value? (a) -0.3 (b) 3 (c) -0.12 (d) -4
d
What is the second smallest value in -2/3, 1/4, -0.42?
-0.42
What is the third biggest value in -0.9, 0.3, 0, 17?
0
What is the third smallest value in 3/11, 2, 7?
7
Which is the second smallest value? (a) -7/4 (b) -2/11 (c) 26 (d) 5 (e) -2
a
What is the biggest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m.
-1, 0, 6
Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0.
1/2, 54
Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5.
-2*(z + 1)**2*(z + 1919)/5
Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y.
-117, 5
Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j.
-1, -2/3, -1/2, -1/17, 3
Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z).
2*z*(z + 2)/7
Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a?
-1, 3
Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0.
-3, -1, 0, 1
Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5.
2*(u - 9)**2/5
Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0?
-2, 3
Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0.
-1/2, 1, 5
Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g.
-5, -2/5
Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4.
-(m - 11)*(m + 5)*(m + 7)/4
Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z.
-1/2, 17
Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w.
w*(w - 12)*(w - 3)/4
Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4.
z*(z - 2)**2*(z - 1)*(z + 4)/2
Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2.
-(r + 4)**2/6
Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0.
-1, 1, 54
Factor 3/8*n**2 + 69/4*n + 387/8.
3*(n + 3)*(n + 43)/8
Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24.
-2*(g - 2)**2*(g + 3)
Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d?
-2, -1, 1
Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4.
-4*(c - 1)*(c + 1)*(c + 3)**3
Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u.
-3*(u - 4)*(u - 1)*(u + 1)/5
Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t.
-6, 52
Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0.
-1, 0, 1
Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0.
6, 12
Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y.
0, 1, 3
Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0.
-1, 0
Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0.
-5, -3, -1, -5/11, 1
Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h.
-3*q**3*(q - 2)*(q + 1)
Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o +
|
{
"pile_set_name": "DM Mathematics"
}
|
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m.
-3
Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z.
-1
Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x for x.
1
Let w(j) = -j**3 + 28*j**2 + 161*j + 132. Let x be w(33). Solve x = 6*r - 8 - 10 for r.
3
Suppose 4*q - 12*v + 37 - 121 = 0, -4*v - 28 = 0. Solve q = -32*r - 234 + 10 for r.
-7
Let f be -4 + 272/80 + (-116)/(-10). Solve f*h - 21 = -10 for h.
1
Let m(j) = -3*j + 25 + 16 + 7 + 4*j. Let h be m(-44). Solve 5*r - h = 1 for r.
1
Let b = -15 + -7. Let f be 14*(-24)/(-33) - (-4)/b. Suppose -f*z = -21*z + 33. Solve -l = z + 2 for l.
-5
Let y be (222/259)/(3/70). Solve 0 = -2*j - y + 12 for j.
-4
Suppose -3*l + 5*t = 7*t - 575, -7*t + 160 = l. Solve 25*n - l = -14*n for n.
5
Let y be ((-3)/6)/((-1)/6). Suppose -y*p + 11 = -13. Suppose 130 = -27*m + 454. Solve 4*t - p*t + m = 0 for t.
3
Let z(o) = o**2 - 58*o - 583. Let r be z(67). Solve 17*h - r = 27*h for h.
-2
Suppose 298*j + 89*j = 154413. Solve -c + 58*c = -j for c.
-7
Let b(d) = 4*d - 1. Let h be b(3). Let l(r) = -2*r**3 - 4*r**2 - 8*r - 6. Let a be l(-2). Solve 16*g - h*g = -a for g.
-2
Let k = 1470 - 1442. Solve -k*r + 34*r = 6 for r.
1
Suppose 0 = -28*j + 24 + 21 + 39. Solve 0 = -11*t + 14 - j for t.
1
Let n be ((-39)/2)/(4/((-96)/(-18))). Let h = 23 + n. Let j be (6/h - -8) + -2. Solve 0 = -7*d + j*d + 12 for d.
4
Let n = -143 + 445. Let s = -299 + n. Suppose 3*z - 10 = -4. Solve -s - z = 5*o for o.
-1
Suppose 3*q - 2849 = d, 3*q + 311*d - 316*d = 2869. Solve -898 + q = 10*g for g.
5
Let y be (28/8)/(4/(-24)*-3). Solve 4*r = y*r - 12 for r.
4
Let x(u) = -4*u + 13. Let l(k) = -10*k + 38. Let h(r) = 5*l(r) - 14*x(r). Let q be h(3). Solve -2*t = -34 + q for t.
4
Suppose -5*j + 97 + 193 = 0. Suppose 53*g - j*g = -30. Let b(v) = 7*v. Let m be b(1). Solve 4 = g*y - m*y for y.
-4
Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a.
-4
Let b(x) = -2*x. Let u be b(0). Let w(p) = p**2 - 2. Let n be w(2). Let g = 2 + n. Solve -2*f + u*f = g for f.
-2
Let y(w) = -w**2 + 96*w - 1084. Let s be y(14). Solve s*d = 53*d + 33 for d.
3
Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t.
-6
Let j = 74 - 70. Let o = -33 - -48. Suppose b + o = j*b. Solve 3*w + b = -2*w for w.
-1
Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q.
1
Let n be 4/(((-4)/9)/2). Let w be (104/(-6))/(n/27). Suppose 0*f + w = 2*f + 5*c, 3*f - 5*c = 14. Solve 7*a - f = 9*a for a.
-4
Let u be 1/(261/(-938) - 30/(-105)). Solve 0 = -u*s + 118*s + 144 for s.
9
Let c(q) = -q**2 - 7*q - 9. Let a be c(-5). Suppose 4*p - h = 35, 2*p + 2*h - a = 9. Suppose -p*b - 9*b = -0*b. Solve 1 + b = -t for t.
-1
Let x(t) = 536*t + 3788. Let g be x(-7). Solve 0 = 13*p - 4*p + g for p.
-4
Suppose 323*y - 289*y - 1564 = 0. Solve 2*t + y = 36 for t.
-5
Let v(z) = -z**3 + z - 2. Let c be v(-2). Let t = 2599 + -2595. Suppose -t*n + 26 = 2*w, c*n = -w - 4*w + 35. Solve l + 2 = w*l for l.
1
Let f be (1512/(-280))/(9/(-15)). Solve -f*p + 12 = -6*p for p.
4
Let j(y) = -9*y - 168. Let a be (-3 + 1)/((-10)/(-95)). Let q be j(a). Solve q*c + 5 - 20 = 0 for c.
5
Suppose -4*a + a = 3, 3*n + 65 = -2*a. Let c be 7/(n/12) + 2 + 2. Solve c = 5*i + 3 + 2 for i.
-1
Let c = -19 + 23. Suppose d - 3*d + c = 0. Suppose 5*u - 2 = d*i, 0*i = 5*u + 4*i + 4. Solve 0 = -2*f + 4 - u for f.
2
Suppose -15*c + 18*c = -15. Let w be (c/(-2))/(40/32). Let a = -5 - -9. Solve -a*q - 6 = -w for q.
-1
Suppose 7 - 25 = -2*m. Suppose -d = m*d - 30. Solve -16 = -d*y - y for y.
4
Let k be ((-310)/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i.
-2
Let b(q) = q**2 - 11*q - 3566. Let o be b(-55). Solve 12*p + o = 4*p for p.
-8
Suppose 321*c = 313*c + 48. Solve 0 = c*u - 12 - 30 for u.
7
Let a(k) = k**3 + 3*k**2 - 4*k - 2. Let r be a(-3). Let z be (105/7 - 8)/(-1 - -2). Suppose -20 = -z*v
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p.
2
Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r.
2
Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i.
-1
Express 73*p - 73*p + 10*p**2 + (2*p + 0*p + 0*p)*(13*p - 17*p + 6*p) + 2*p**2 + 3*p**2 - 7*p**2 - 3*p**2 - 3*p**2 + 7*p**2 as h + g*p**2 + y*p and give g.
13
Express (6 - 4 + 3)*(3*f - 3*f + 2*f) + (2*f - 13*f + 2*f)*(1 + 1 - 4) in the form c + m*f and give m.
28
Express (0*r + 7*r - 3*r)*(11*r - 5*r + 8*r) as s*r**2 + b + g*r and give s.
56
Express (-2*g + 4*g + 2*g + (3*g + 2*g - 3*g)*(5 - 1 - 5) - 3*g + 2*g + 4*g)*((1 + 0 - 3)*(-3 - 3 + 4) + 1 + 1 - 3)*(-3 + 5 - 1) in the form p + o*g and give p.
0
Rearrange i - 8*i - 11*i to s + g*i and give s.
0
Rearrange -4*k - 10 + 10 + 8*k to r + w*k and give w.
4
Rearrange (-3*h + 3*h - 2*h)*(35 + 51 - 29) to r + z*h and give z.
-114
Rearrange (-4*f**2 + 2*f**2 + 4*f**2)*(-2 + 2 + 1) + 5 - 5 + 17*f**2 to y + s*f + g*f**2 and give g.
19
Express (2 - 32 + 0)*(2*b - 6*b + b) in the form p*b + f and give p.
90
Express 0*j**2 + 2 + j**3 + 3*j - 2*j**2 - 2*j**3 - 2*j as a*j**3 + q*j + i + v*j**2 and give v.
-2
Rearrange 12*a - 2082*a**3 - 2*a + 2076*a**3 to s + f*a**2 + c*a**3 + j*a and give c.
-6
Express 4*g**4 - 2*g**2 - 1 + 9*g - 2*g**3 - 10*g + 0*g**2 in the form h + p*g**4 + q*g**3 + f*g**2 + u*g and give f.
-2
Express -2*q**2 + 1 + 4*q - 3 + 4*q**2 + 0*q**2 as s*q**2 + v*q + o and give v.
4
Rearrange 55*h - h**3 + h**3 + h**3 + 4 + 4*h**4 - 54*h to the form f*h**4 + y*h + j + w*h**2 + m*h**3 and give y.
1
Rearrange -m - 9*m - 2*m**2 + 5*m**2 to the form v*m**2 + u + i*m and give i.
-10
Express ((-3*h - h + 2*h)*(4 - 1 - 1) + 0*h + 2*h - 4*h)*(-27 + 18 + 27)*(0 - 1 + 3)*(0 - 1 - 1) as q*h + u and give q.
432
Express (-2 + 7 - 3)*(-2*q - 2 + 2*q - q)*(44*q - 26*q - 24*q) in the form j + a*q + m*q**2 and give m.
12
Express -u**4 - 2*u - u**3 - u**3 + 0*u + 3*u + 2*u**2 in the form a*u + i + j*u**2 + g*u**3 + l*u**4 and give j.
2
Rearrange 0*n**2 + 23*n**3 - 24*n**3 - 4*n**2 to the form z*n**2 + q*n**3 + w*n + b and give w.
0
Express -1 - 3*j + j - 15*j in the form v + i*j and give i.
-17
Express -61 + 9*v**2 + 61 in the form n*v**2 + s + f*v and give n.
9
Rearrange -4*n + 5*n + 1 - 2*n + 4*n to the form j*n + p and give p.
1
Rearrange (9*j - 28*j - 22*j)*(0*j**3 - 2*j**3 + j**3) to z*j + s + r*j**4 + n*j**3 + u*j**2 and give n.
0
Rearrange (-105 + 37*i + 105)*(-3 - 4 + 5) to f + m*i and give m.
-74
Express (-5 + 4 - 1)*(-1 + 1 + m) + (2361 + 11*m - 2361)*(1 - 1 + 2) as n*m + j and give n.
20
Rearrange 3 - 1 - 14*j - 3 + 2 to s*j + q and give q.
1
Express -2*m**2 - 86 + 43 - m + 41 + m**3 + 3*m**4 in the form y + s*m**4 + v*m**2 + n*m**3 + c*m and give y.
-2
Express -3*x - 4 - x - 81*x**3 + 79*x**3 + (-6*x**3 + 5*x**3 + 3*x**3)*(-5 - 3 + 5) as p*x**2 + r + m*x**3 + l*x and give m.
-8
Express 2*f - 3*f + 3*f + (-1 + 2 - 3)*(-4*f + 2*f + 4*f) - 351 + 351 + 19*f - 3*f + 2*f + 2*f + (-1 + 1 - 1)*(-3*f - f + 2*f) in the form v*f + l and give v.
20
Rearrange -3*g + 2*g**2 - g**3 - 6*g**3 + 10*g**3 to the form r*g**3 + h*g + q*g**2 + j and give r.
3
Express (-2*z - 4*z + 5*z)*(2*z - 2*z + z) + 214 + 0*z**2 - 214 - 159*z**2 as n*z**2 + h + d*z and give n.
-160
Rearrange 3*i**4 + 3*i - 7*i - 15*i**4 - 1 + 10*i**4 to the form q*i**2 + r + s*i + m*i**4 + c*i**3 and give c.
0
Rearrange (2 - r - 2)*(3 - 3 - 6) to the form i + b*r and give b.
6
Rearrange -5*l**3 - 2*l + 33 - 33 - 2*l to k*l**3 + d*l + o*l**2 + p and give k.
-5
Express 9*x + 10*x - 2*x**2 - 2*x + (-2*x + 2*x - x)*(3*x - 4*x + 3*x) in the form y*x + o + s*x**2 and give s.
-4
Rearrange -3*r - 7 + 4*r + r to f + l*r and give l.
2
Rearrange l**2 - 4*l**2 - 3*l**2 + (2*l + 0*l + l)*(-3*l - 3*l + 5*l) to the form w + c*l + a*l**2 and give a.
-9
Express 4
|
{
"pile_set_name": "DM Mathematics"
}
|
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i.
-312*i**2*x + 724*x**3
Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h.
468*h**2 + 54*h - 22
Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l.
320*d*l - 5503*d
What is the third derivative of -889516*w**3 + 96*w**2 - 4652?
-5337096
Differentiate 2*c**4*g**2 - 860193*c**2*g**2 + 2410123*g**2 wrt c.
8*c**3*g**2 - 1720386*c*g**2
What is the first derivative of 153662*v**3 + 141901 wrt v?
460986*v**2
Find the second derivative of 19862*z**5 - 41848*z.
397240*z**3
What is the second derivative of 56*n**3*v**2 - 172*n**2*v**2 + 33*n*v**2 + 104*n + 2*v**2 - 1 wrt n?
336*n*v**2 - 344*v**2
What is the second derivative of 15983*n**2 - 67765*n?
31966
Find the second derivative of -117825*l**4 + 54070*l wrt l.
-1413900*l**2
What is the third derivative of 774955*f**3 - 313304*f**2 wrt f?
4649730
Find the second derivative of -106108*r**2 - 101*r - 537.
-212216
Differentiate -1973*t**4 + 6*t*z**2 - 3*z**2 + 425*z - 19 with respect to t.
-7892*t**3 + 6*z**2
What is the third derivative of 42*h**2*y**3 - 9*h**2 - 870*h*y**6 - 5693*y**2 wrt y?
252*h**2 - 104400*h*y**3
Find the second derivative of 1767*o**3 - 9*o**2 + 73270*o wrt o.
10602*o - 18
Find the third derivative of 67*h*m**4 - 1855*h*m**3 - 2*h*m**2 - 147*h*m + 2*h + 2*m**3 - 1860*m + 3 wrt m.
1608*h*m - 11130*h + 12
What is the third derivative of 88239*b**3*h**2 + 3*b**2*h**2 + 20*b**2 + 210*b wrt b?
529434*h**2
What is the derivative of u**4 - 2212*u**2 - 3*u + 3618 wrt u?
4*u**3 - 4424*u - 3
What is the second derivative of 2034604*h**2 - 395*h + 717?
4069208
Find the third derivative of j*n**4 + 633*j*n**3 + 2*j*n**2 + 18*j*n - 10*n**3 + 3*n**2 + 2 wrt n.
24*j*n + 3798*j - 60
Find the first derivative of 30*i**2*w**2 + 1187202*i**2 + i*w**2 - 67*w**2 wrt w.
60*i**2*w + 2*i*w - 134*w
What is the second derivative of -133129*i**3 + 18*i - 3424 wrt i?
-798774*i
Find the third derivative of -227*o**5 - o**4*x - 8*o**3 - 2*o**2 - 6*o*x - 78*o + 1 wrt o.
-13620*o**2 - 24*o*x - 48
Find the second derivative of 64678*f**5 - 78*f + 173 wrt f.
1293560*f**3
Find the second derivative of 57890*d**2 - 36270*d wrt d.
115780
Find the second derivative of 10*v**5 - 3659*v**4 - 403190*v.
200*v**3 - 43908*v**2
Differentiate -34926*f*o**2 + 11956*o**2 + 3 wrt f.
-34926*o**2
What is the first derivative of v**2 + 17650*v - 1651362 wrt v?
2*v + 17650
Find the third derivative of -84*l**2*x**3 + 19*l**2*x**2 - 7*l*x**2 - 20*l*x + 51*x**4 wrt x.
-504*l**2 + 1224*x
What is the derivative of -1128248*d + 4412102 wrt d?
-1128248
Find the second derivative of -56709*j**2 - 67567*j.
-113418
What is the second derivative of -37612*k**2*q**3 + 4*k*q**3 + k*q**2 + 82*q**2 + 1 wrt k?
-75224*q**3
Find the third derivative of 3311742*c**3 + 1259691*c**2.
19870452
Find the second derivative of 174205*l**2*y**2 - 11*l**2*y + 2*l*y**3 - 512*l*y wrt y.
348410*l**2 + 12*l*y
What is the derivative of 276135*c*o + 210830*o - 1 wrt c?
276135*o
Differentiate -10*u*w - 2592547*u - 3*w**2 + 6937*w wrt w.
-10*u - 6*w + 6937
Find the second derivative of 396574*i**3 - 3530*i.
2379444*i
Differentiate -3*d**2*v**3 - 46404*d**2 - 6196*d*v**4 + 2*d wrt v.
-9*d**2*v**2 - 24784*d*v**3
Differentiate 20*u**3 + 31698*u + 266751 wrt u.
60*u**2 + 31698
What is the second derivative of 3*x**4 - x**3 - 15660*x**2 - 265779*x wrt x?
36*x**2 - 6*x - 31320
What is the second derivative of c**5*k + 79918*c**4*k - 7*c**2 - 2669*c*k - 9*c + 2 wrt c?
20*c**3*k + 959016*c**2*k - 14
Find the third derivative of -6*i**6 - 347*i**4 + 2*i**3 + 11*i**2 - 10*i + 44 wrt i.
-720*i**3 - 8328*i + 12
What is the second derivative of 41821*c**3*v**2 + 401*c**3 + 101*c**2 + 9*c*v**4 - 3*c*v wrt v?
83642*c**3 + 108*c*v**2
Find the third derivative of 16*j**4 - 132919*j**3 - 4*j**2 + 12327*j - 10 wrt j.
384*j - 797514
Find the second derivative of q*x**5 - q*x**2 - q*x - 22900*x**2 + 58350*x wrt x.
20*q*x**3 - 2*q - 45800
Find the second derivative of -84*n**3*u**2 + 144*n**3*u - 476*n*u**2 + 7*n*u + u**2 + 3*u wrt u.
-168*n**3 - 952*n + 2
What is the derivative of 51448*u + 73130?
51448
What is the third derivative of -14*l**5*n - 244*l**4*n**2 - l**2*n**2 - 4*l**2*n - 2375*l*n wrt l?
-840*l**2*n - 5856*l*n**2
Find the third derivative of -202*i**4*o**2 - 964*i**3*o**2 - 2*i**2*o + i*o**2 + 1292*i - 55 wrt i.
-4848
|
{
"pile_set_name": "DM Mathematics"
}
|
*p + 12. Solve -t - 1 = -w for t.
2
Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b.
0
Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y.
-5
Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w.
5
Suppose 0 = -3*n - 2 + 35. Suppose 4*i + 4 = 0, 5*o - 4*i = 13 + n. Suppose 0 = -j - 4*j. Solve j = -4*k - o - 12 for k.
-4
Let o be 4 + 1/(-2)*-2. Solve -o*t - 2 = 3 for t.
-1
Suppose 1 + 5 = 2*r. Let c(p) = -3*p + 8 + p**3 - 2 - 2*p - 3. Let y be c(r). Solve -y = 4*i - i for i.
-5
Suppose -i - 3 + 6 = 0. Suppose i*c + 26 = 4*c. Let l be (-2)/8 - c/(-8). Solve u - l*u = 0 for u.
0
Let i be -6*(33/(-9) + 3). Let m(h) = h**3. Let v(j) = -j**2 + 3*j + 5. Let d be v(4). Let w be m(d). Solve w + 11 = i*s for s.
3
Let m = -36 - -36. Solve m = 3*u - 5 + 17 for u.
-4
Suppose 8*g + 20 = 12*g. Let n(m) = m**2 + 1. Let o be n(0). Solve g = -2*w + o for w.
-2
Let y be 3 - (12/(-4))/(-3). Solve -y*q = -3*q for q.
0
Let n be 12/18*(-30)/(-4) - 3. Solve -2*p = n - 4 for p.
1
Let y be (-10)/(-4) + (-9)/(-6). Suppose 18 = y*p - 2*p. Let m = p - 4. Solve 5*a + m = -20 for a.
-5
Suppose 32*v - 34*v = 0. Solve v = g - 1 - 1 for g.
2
Let n(a) = 4*a**2 - 3*a**2 + a - 5 - 2*a. Let s be n(-4). Suppose 5*j + b = 20, 4*j + 0*b + b - s = 0. Solve 0 = 2*r + 3*r + j for r.
-1
Let s(j) be the second derivative of -j**4/12 + j**3 + j**2/2 - j. Let c be s(6). Let q = c - 1. Solve 0*z + 4*z - 20 = q for z.
5
Let n = 24 - 19. Solve -13 - 12 = n*p for p.
-5
Suppose -5 = -u + 6. Let o(v) = -v - 2. Let c be o(7). Let t = c + u. Solve 0*g - t*g = -2 for g.
1
Let v(g) = -g + 4. Let u be v(6). Let f be (-1)/(u - 38/(-20)). Suppose 5*r + 2 = 22. Solve f = -z - r*z for z.
-2
Let x = 14 + -11. Solve 0 = 2*u + u - x for u.
1
Suppose 4*d = 24 + 20. Let y = d - 8. Let m be (0/y)/(-3 - -5). Solve 0 = -c - m - 5 for c.
-5
Let d(u) = u**2 + 3*u - 5. Let i be d(-5). Suppose 0 = i*x + 6*h - 2*h + 18, -3*h = -3*x. Let z be 0*(-3 - 5/x). Solve z*p + 3 = p for p.
3
Let s = 273 - 273. Let j(t) = t**2 - 4*t - 2. Let y be j(5). Solve s*k - y = 3*k for k.
-1
Let t = 4 - 4. Suppose 4*u - 3*y - 18 = t, -u + 3*y + 1 = -8. Let k(z) = z + 1. Let l be k(u). Solve l = o - 5*o for o.
-1
Suppose r + w = 2, -3*r + w + 6 = -2*w. Suppose -4*u - u + 2 = -v, 4*v + 8 = -r*u. Solve 6*j - 2*j = u for j.
0
Let i = 10 - 6. Let g = -6 + 6. Suppose -6*s = -2*s + 3*c - 48, g = -2*s + c + 14. Solve 0 = i*n - n + s for n.
-3
Let k be (0 - -6)/((-24)/(-64)). Suppose k = 5*b - b. Suppose 4*a = 2*a + b. Solve 4*s = a*s + 8 for s.
4
Let k = 4 + -6. Let j = k + 5. Suppose j = -5*f + 33. Solve -f - 19 = 5*r for r.
-5
Let f(s) = s**3 + 6*s**2 - 11*s + 6. Let i be f(-8). Let g = i - -59. Solve 3*p - g = -2*p for p.
5
Let g = -9 - -11. Suppose q - 4 = g. Let i = q - 1. Solve -3*f + 10 = -i for f.
5
Let s(o) = -o**3 - 3*o**2 + 7*o + 12. Let j be s(-5). Let r be (j/(-6))/((-1)/2). Solve 3*d + 0 = -r for d.
-3
Let p(w) = w**3 - 5*w**2 - 9*w + 9. Let d be p(6). Let t be 1/(-2)*(d + 1). Solve -4*a + 16 = -t for a.
5
Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let l be c(-6). Solve -l*m = 7 - 2 for m.
-1
Suppose 2 = -2*b + 3*b. Suppose j - b*n = -6, 6 = -3*j + 3*n - 3. Solve j = 3*v - v for v.
0
Let v(d) = -d**3 + d**2 + 4*d - 3. Let l be v(3). Let x = -14 - l. Let q = x - -5. Solve 4*g + 0*g - 16 = q for g.
4
Suppose 9*g = 4*g. Solve g*x + 3*x + 15 = 0 for x.
-5
Let z(g) = g**2 + 7*g - 5. Let d be z(-9). Let j = d - 11. Solve -j*p = 2*p + 8 for p.
-2
Suppose -4*q + 2*n - 9 = 5, -n = 4*q + 5. Let h be q/(-5) - 56/(-35). Solve -t - 3 = h for t.
-5
Let a(y) = -y - 1. Let k be a(-2). Solve -g = -0*g + k for g.
-1
Let y = 11 + -8. Let z(b) = -y*b + 0*b + 2*b. Let m be z(-2). Solve 4*n - 14 - m = 0 for n.
4
Let v(y) = -y**2 + 8*y + 8. Let h = 19 + -11. Let g be v(h). Solve -s - g = s for s.
-4
Let d(l) be the third derivative of l**4/24 - l**3/3 + l**2. Let v be d(2). Solve 5*y - 6*y + 3 = v for y.
3
Let z be (-2)/5 - 119/(-35). Suppose -1 = z*s + 4*n, 0 = 3*n + 5 +
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of a?
8
Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)?
1
Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q?
9
Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3?
1
Let y(r) = 32*r**2 + r + 6 - 37*r**2 + 6*r**3 + 3*r**3. Let f be y(2). Suppose l = -3*a + f, 0 = 4*l - 5*a - 166 - 74. What is the units digit of l?
0
Let i = -185 + 201. Let g(w) = -w**2 + 25*w + 10. What is the units digit of g(i)?
4
Suppose 24876 = -21*y + 17258 + 81937. What is the hundreds digit of y?
5
Suppose 4106 - 193 = w - 2*b, -4*b = -4*w + 15656. Suppose -7*g = 8*g - w. What is the units digit of g?
1
Let v be 9/(45/(-152)) - (-2)/5. Let h be 2/((-2)/3) + (v - 2). Let t = h + 75. What is the tens digit of t?
4
Suppose -4815 = 6*s - 20*s + 244539. What is the ten thousands digit of s?
1
Let n = 13 - 13. Suppose 3*b - 3*d + 4*d - 7 = 0, 5*d - 5 = n. Suppose b*a + y - 234 = 0, 0*y = y + 2. What is the tens digit of a?
1
Suppose -7*c + 6*c + 20 = -4*q, -4*q - 4 = c. Suppose g + 5*k = 190, 0 = -4*g - 3*k + c*k + 760. What is the units digit of g?
0
Suppose 2*y + o - 77157 = 2*o, 38583 = y + o. What is the ten thousands digit of y?
3
Suppose 0*h + 6*h = 504. Suppose 0 = 2*r - 8 - 622. Let w = r - h. What is the tens digit of w?
3
Let z(n) = 3*n**3 - 249*n**2 - 444*n - 287. What is the thousands digit of z(86)?
8
Let p = 1935 + 869. What is the tens digit of p?
0
Suppose 33*o - 38*o + 24895 = -15. What is the hundreds digit of o?
9
Let a = -79 - -101. Suppose -b = -4, a + 34 = -2*t - 4*b. Let p = 43 - t. What is the tens digit of p?
7
Let q = 6432 - -17021. What is the tens digit of q?
5
Let f(y) = -y + 3. Let z(a) = -a + 2. Let h(t) = -5*f(t) + 4*z(t). Let w be h(7). Suppose -4*b + 694 = -v - v, w = -b - 4*v + 169. What is the tens digit of b?
7
Suppose 3*q = 2*y + 8, 0 = 4*q + 6 - 22. What is the units digit of -16 - -557 - (0/y + -5)?
6
Suppose -4*q + 19 = 5*t - 25, t = 5*q - 26. Let i(p) = -p**3 + 8*p**2 - 13*p - 2. Let j be i(q). Let k = -6 - j. What is the units digit of k?
2
Suppose 0 = -6*q + 5671 + 39089. Suppose q = -4*z - 3*g - 0*g, -5*z - 4*g = 9324. What is the tens digit of z/(-20) + (-2)/5?
9
Suppose f + 0*f - 3*x = 17, -x = -f + 11. Suppose 11*a = f*a + 6. Suppose 4*g = 0, 0*g + g = -a*j + 126. What is the tens digit of j?
6
Let k(y) = 3*y + 39. Let u be k(26). Let d = 224 - u. What is the tens digit of d?
0
Let s(i) = 2*i - 25*i**3 - 6 + 10*i**3 - 9*i - 2*i**2 + 11*i**2 + 14*i**3. Suppose 3*z - 4*l - 4 - 12 = 0, -2*l = -5*z + 36. What is the units digit of s(z)?
2
Suppose 42*h - 77088 - 177264 = 0. What is the hundreds digit of h?
0
Let j(w) = -w**3 + 15*w**2 + 18*w - 30. Let n be (16/(-12))/(6/(-72)). Let o be j(n). What is the units digit of -6*(-34 - 6/o)?
2
Suppose -5*s - 5*f + 2420 = 0, 7*s - 9*s + 5*f = -989. What is the tens digit of -1 - s*7/(-7)?
8
Suppose -71 = -4*d - 5*r + 199, -5*r = -3*d + 220. What is the tens digit of ((-714)/(-3))/(28/d)?
9
Suppose -41*h + 39*h = -6. Let r = 11 + -15. What is the tens digit of 156*(13/h + r)?
5
Suppose -4*s + z + 4*z = -14, 4*z = 24. Let j(t) be the second derivative of t**4/6 - 2*t**3 + t**2 + t. What is the hundreds digit of j(s)?
1
Let k = 122364 + -84995. What is the hundreds digit of k?
3
Let m(l) = -l**3 + 3*l**2 - 7*l. Let r be m(5). Let g = 1705 + -1372. Let z = g + r. What is the units digit of z?
8
Let q be (-395)/(-4) + 9/(-12) - -2. Suppose -118*p = -q*p - 27432. What is the units digit of p?
4
Let l = 77 - 73. Let b(z) = l*z**2 - 2*z - 7*z - 3*z + 25 - z. What is the units digit of b(6)?
1
Suppose -3*w + 7 + 2 = 0. Suppose -3*a + 5*d - 6 = 3*d, 4*a - w*d = -9. Let l(b) = b**2 - 2*b + 56. What is the tens digit of l(a)?
5
Let t(u) = -15 + 5*u + 15 + 21. Let v be t(-4). What is the tens digit of -110*v/(-2)*1?
5
What is the tens digit of ((-30)/8)/(501/(-368068))?
5
Let o be -46 - 2/5*-5. What is the hundreds digit of 8/44 - 8396/o?
1
Suppose -4*i + 4*u = 244, i - 3*i - 5*u - 87 = 0. Let t = -52 - i. Suppose -t*j = -114 - 242. What is the units digit of j?
9
Suppose -7*p + 0 = -7. Suppose 3*a + 13 = 2*u, 2*u - p - 8 = -a. Suppose 4*v - u*v = -41. What is the units digit of v?
1
Let t(y) = 4*y**3 - 2*y**2 - 10*y + 2. Let q be t(-3). Let w = q - -99. Suppose 342 = 4*m + f, -w*m - 2*f + 431 = f. What is the tens digit of m?
8
Let r be (1 - 3/(-12)) + 15/20. Suppose r*u - 540 = -40. What is the tens digit of u?
5
Let z = 1539 - 1017. Let r = z + -499. What is the units digit of r?
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is the t'th term of 382, 590, 572, 322, -166?
-t**3 - 107*t**2 + 536*t - 46
What is the p'th term of 6746, 51431, 171954, 406235, 792194, 1367751, 2170826, 3239339?
6320*p**3 - p**2 + 448*p - 21
What is the u'th term of -385904, -385946, -385988, -386030, -386072?
-42*u - 385862
What is the f'th term of 5520769, 11041536, 16562303, 22083070, 27603837, 33124604?
5520767*f + 2
What is the p'th term of 48, 157, 704, 1971, 4240, 7793, 12912, 19879?
47*p**3 - 63*p**2 - 31*p + 95
What is the t'th term of 949470, 1898929, 2848388?
949459*t + 11
What is the x'th term of 4027, 32356, 109297, 259156, 506239, 874852, 1389301?
4051*x**3 - 28*x + 4
What is the v'th term of -106703841, -106703840, -106703839?
v - 106703842
What is the v'th term of 10483, 42302, 95341, 169606, 265103, 381838?
v**3 + 10604*v**2 - 122
What is the j'th term of 949290, 1898540, 2847790, 3797040, 4746290, 5695540?
949250*j + 40
What is the a'th term of 6739847, 6739834, 6739813, 6739784?
-4*a**2 - a + 6739852
What is the c'th term of -97333, -97424, -97515, -97606, -97697?
-91*c - 97242
What is the n'th term of -1660785642, -1660785643, -1660785644?
-n - 1660785641
What is the h'th term of 20910624, 41821268, 62731912?
20910644*h - 20
What is the b'th term of -201586, -403245, -604906, -806569, -1008234, -1209901, -1411570?
-b**2 - 201656*b + 71
What is the s'th term of -147926, -148046, -148166, -148286, -148406, -148526?
-120*s - 147806
What is the d'th term of 183114, 183178, 183242, 183306, 183370?
64*d + 183050
What is the n'th term of -1367, -5485, -12383, -22091, -34639, -50057, -68375?
-5*n**3 - 1360*n**2 - 3*n + 1
What is the t'th term of -366469, -366577, -366743, -366961, -367225, -367529, -367867, -368233?
t**3 - 35*t**2 - 10*t - 366425
What is the t'th term of -10718, -11004, -11290, -11576, -11862?
-286*t - 10432
What is the g'th term of -82734, -330887, -744450, -1323429, -2067830, -2977659?
-g**3 - 82699*g**2 - 49*g + 15
What is the x'th term of 151041, 297412, 443785, 590160?
x**2 + 146368*x + 4672
What is the r'th term of -44083095, -44083097, -44083099, -44083101, -44083103, -44083105?
-2*r - 44083093
What is the j'th term of -983, -2065, -3293, -4721, -6403, -8393, -10745?
-9*j**3 - 19*j**2 - 962*j + 7
What is the x'th term of -323, -611, -851, -1019, -1091, -1043, -851?
4*x**3 - 316*x - 11
What is the p'th term of 40375, 40289, 40203, 40117, 40031?
-86*p + 40461
What is the q'th term of 3226, 2649, 2072?
-577*q + 3803
What is the l'th term of 2198, 2382, 2560, 2732, 2898, 3058?
-3*l**2 + 193*l + 2008
What is the h'th term of -2271, -4413, -6487, -8487, -10407, -12241, -13983, -15627?
h**3 + 28*h**2 - 2233*h - 67
What is the d'th term of -203098, -406183, -609268, -812353, -1015438?
-203085*d - 13
What is the r'th term of -306117, -2448416, -8263221, -19586784, -38255357, -66105192?
-306042*r**3 - r**2 - 2*r - 72
What is the g'th term of 16007, 65905, 149685, 267341, 418867, 604257?
-g**3 + 16947*g**2 - 936*g - 3
What is the t'th term of 188662, 188651, 188634, 188611, 188582, 188547, 188506?
-3*t**2 - 2*t + 188667
What is the x'th term of -99090, -198150, -297210, -396270?
-99060*x - 30
What is the q'th term of -4295579, -8591213, -12886847, -17182481?
-4295634*q + 55
What is the h'th term of 81544744, 81544745, 81544746?
h + 81544743
What is the w'th term of -4565072, -18260309, -41085712, -73041287, -114127040, -164342977?
-w**3 - 4565077*w**2 + w + 5
What is the r'th term of 60045, 60038, 60031?
-7*r + 60052
What is the b'th term of -9276, -25986, -53842, -92850, -143016, -204346, -276846, -360522?
-b**3 - 5567*b**2 - 2*b - 3706
What is the b'th term of -4706, -4614, -4408, -4046, -3486, -2686, -1604?
7*b**3 + 15*b**2 - 2*b - 4726
What is the l'th term of -72732, -72708, -72676, -72642, -72612, -72592?
-l**3 + 10*l**2 + l - 72742
What is the p'th term of -2859, -2734, -2613, -2496, -2383?
-2*p**2 + 131*p - 2988
What is the z'th term of 14228, 57059, 128464, 228443?
14287*z**2 - 30*z - 29
What is the c'th term of 107, -834, -3055, -6556, -11337, -17398?
-640*c**2 + 979*c - 232
What is the i'th term of 1485, 3770, 7133, 11574, 17093?
539*i**2 + 668*i + 278
What is the j'th term of -6210, -25868, -58624, -104478, -163430, -235480?
-6549*j**2 - 11*j + 350
What is the r'th term of 484981, 969921, 1454861, 1939801?
484940*r + 41
What is the m'th
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Evaluate ((-18)/30)/((-36)/30)*-8.
-4
What is the value of (((-126)/(-27))/14)/((-1)/3)?
-1
What is (-20)/5*((-12)/2)/12?
2
Calculate (3*(-1)/(-9))/((-2)/18).
-3
Evaluate (6/((-12)/(-5)))/5*10.
5
What is 9/(-14)*20/30?
-3/7
Evaluate 4/(144/20)*12/10.
2/3
What is ((0/7)/5)/(1/1)?
0
What is 95/(-266)*8/10?
-2/7
Calculate 1/1*(-19)/19.
-1
What is (2/(-2))/((-33)/(-33))?
-1
What is ((-3)/(3/4))/(-1)?
4
(4/280*7)/(4/(-30))
-3/4
-1*(-8)/((-12)/(-6))
4
What is the value of ((-36)/14)/6*70/(-30)?
1
Evaluate 147/231*10/(-35).
-2/11
What is (-132)/1617*(-1)/((-4)/(-14))?
2/7
Evaluate ((-136)/(-340))/((-16)/(-10)).
1/4
55/33*(-5)/50*18
-3
Calculate (-160)/(-16)*(-2)/(-4).
5
Evaluate ((21/12)/(-1))/((-49)/(-196)).
-7
Evaluate (5/140)/((-4)/(-48)).
3/7
What is the value of ((-6)/(-5))/((-3)/(-10))?
4
What is the value of (55/(-11))/(-10)*-16?
-8
What is the value of 18/10*93/837?
1/5
Calculate (-6)/36*-3*0.
0
What is ((-1)/(-4))/((-120)/(-288))?
3/5
What is (14/4)/(7/4)?
2
What is ((-245)/(-14))/1*2/5?
7
Calculate 9/21*(-42)/36.
-1/2
Evaluate ((-147)/(-6))/7*16/84.
2/3
Evaluate 2/(70/(-21))*10.
-6
Evaluate 1*(-16)/(-20)*5.
4
Evaluate 2/(7/(-21)*2).
-3
What is the value of (6/(-15))/((-9)/30)*3?
4
(0/((-6)/(-3)))/(12/3)
0
What is the value of (0*8/16)/2?
0
What is the value of 2*(-6)/4*1/1?
-3
What is the value of ((-18)/(-48)*4/(-1))/3?
-1/2
Evaluate 3*5/15*72/8.
9
Evaluate 9/(-12)*-5*4/3.
5
What is the value of ((-4)/1)/(-20)*10?
2
What is the value of (14/2)/(1*1/1)?
7
What is (4/(-8))/(1/1)?
-1/2
What is the value of (-915)/(-549)*((-6)/(-10))/3?
1/3
Evaluate 3*(-10)/(-765)*3.
2/17
9*8/6*2/(-8)
-3
What is the value of ((-3)/(-3))/(3*77/(-66))?
-2/7
What is (8/230)/(40/(-100))?
-2/23
Calculate (-4)/(-8)*-10*(-9)/60.
3/4
Calculate (3*2*-1)/((-6)/3).
3
What is 2*-8*7/(-112)?
1
What is 5/(-2)*2*2/(-2)?
5
What is (-4*7/(-84))/(3/63)?
7
Calculate (-2)/6*(-18)/42.
1/7
What is the value of (8/(-5))/(30/75)?
-4
Evaluate ((-2)/(-2))/(3/15).
5
What is (4/(-6))/(210/(-315))?
1
Evaluate 9/(-12)*2*2/(-5).
3/5
What is the value of (-2)/((-2)/(-8)*2)?
-4
(4/6)/(-1*(-14)/14)
2/3
What is ((-15)/48*-4)/5?
1/4
(-8)/(-12)*(-9)/3*-2
4
Evaluate 8/(-3)*(-17)/((-7140)/(-45)).
2/7
Calculate ((-1)/2)/(1*(-4)/(-24)).
-3
What is the value of 1/((-9)/(-30))*(-60)/50?
-4
What is the value of (17/34)/(21/(-18))?
-3/7
Evaluate ((27/(-6))/9)/(-2).
1/4
Calculate 5/((-15)/(-12))*1/1.
4
((-168)/196)/(54/28)
-4/9
((-5)/4)/((77/22)/(-7))
5/2
What is the value of 28/7*2/(-4)?
-2
What is the value of -6*4/(12/1)?
-2
What is the value of 5*4/(-20)*5/5?
-1
(3/(-9))/(28/28)
-1/3
((-22)/11)/((7*2)/2)
-2/7
Evaluate (-66)/11*(-2)/(-4).
-3
What is (5/((-495)/(-6)))/((-2)/(-6))?
2/11
Evaluate (4/(-16))/(4/(160/(-85))).
2/17
What is the value of (2/(-1))/(15/(90/(-4)))?
3
(-8)/(-80)*-5*2/1
-1
Calculate (225/2700)/(2/(-6)).
-1/4
-6*(-2)/24*3
3/2
Calculate ((-12)/(-42))/(12/126).
3
Calculate -4*4/(96/(-30)).
5
Calculate 2*2/2*(-1)/1.
-2
(-1)/(-1)*(-10)/(-6)
5/3
Evaluate ((-65)/26)/(4/8).
-5
(21/(-35))/((-63)/840)
8
What is the value of 16/6*8*27/144?
4
3/((-9)/1)*3
-1
What is (3/45)/(39/(-117))?
-1/5
2/(-3*(5/5)/2)
-4/3
Calculate 40/32*6/5.
3/2
1/2*(-11)/(22/16)
-4
Calculate (-2)/7*(-105)/180.
1/6
What is the value of 4/((-624)/18)*(-4)/(-3)?
-2/13
What is (-20)/((25/10)/(-1))?
8
Evaluate ((6/7)/((-27)/(-42)))/2.
2/3
(103/(-309))/((-1)/21)
7
What is (29/(-145))/(18/15)?
-1/6
Calculate ((-3)/24)/(6/36).
-3/4
Calculate 5/2*(-16)/(-10).
4
Evaluate 12/2*(-1)/12*-4.
2
2*2*3/12
1
What is 46/(-161)*7/12?
-1/6
What is (4/6)/((-2)/9)?
-3
What is the value of (3/(1/(-1)))/(330/(-275))?
5/2
((-2)/(-3))/((-392)/84)
-1/7
96/192*6/(-5)
-3/5
Evaluate 5/(200/5)*(-96)/(-16).
3/4
Evaluate (-3)/(-2)*(-2)/(-12)*2.
1/2
Calculate ((-6)/147*-7)/((-2)/(-4)).
4/7
(-9)/(-84)*(-20)/(-5)
3/7
What is the value of (-3)/(-3)*(-8)/(-12)*-9?
-6
What is the value of 15/35*84/(-54)?
-2/3
What is (((-63)/14)/3)/6?
-1/4
What is the value of 20/(-4)*(-2)/25?
2/5
What is ((-4)/(-8))/(2/(-40)*2)?
-5
Calculate (18/(-45))/((-14)/(-20)).
-4/7
Evaluate 1*7/(-14)*4/2.
-1
((-17)/((-170)/(-40)))/1
-4
-4*5*(-9)/(-36)
-5
Calculate (-10)/60*3/(-2).
1/4
What is (-465)/(-124)*((-7)/10)/7?
-3/8
Evaluate 6*(-4)/8*1/3.
-1
Evaluate 2/((32/10)/(-8)).
-5
Evaluate 240/(-160)*(16/(-27))/(-2).
-4/9
Evaluate ((-2)/8)/((-1
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a?
2
Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i.
7
Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s?
2
Suppose 369 = 3*j - 9. List the prime factors of j.
2, 3, 7
Let c be -3*-1*(0 + 1). Let n be 2/6 + (-84)/(-18). What are the prime factors of (6/n)/(c/20)?
2
Let u(g) = 3*g - 15. What are the prime factors of u(9)?
2, 3
Suppose -2*o + s + 20 = -0*o, 3*o = 3*s + 33. List the prime factors of o.
3
Let l(p) = -p + 4. Let m be l(0). Suppose 11 = -m*n - 13. What are the prime factors of 4/n*(-36)/8?
3
Let b = -14 + 8. Let o be (-7)/((b/(-2))/(-3)). Suppose 11 = -6*t + o*t. List the prime factors of t.
11
Let a be 10/25 - (-104)/(-10). Let j = 16 + a. Suppose -5*d + 19 + j = 0. What are the prime factors of d?
5
Suppose -d - 44 = -2*j - 3*d, -2*j + 64 = -2*d. Suppose 0 = -3*v, -3*o - 17 - 28 = -2*v. Let r = o + j. What are the prime factors of r?
2, 3
Suppose 4*x = x + 303. What are the prime factors of x?
101
Let u(z) = -14*z**2 + 4*z + 8. Let q(t) = -5*t**2 + t + 3. Let b(h) = 8*q(h) - 3*u(h). Let y be b(3). Let m = y + -4. List the prime factors of m.
2
Let h = 73 - 33. List the prime factors of h.
2, 5
Let v(c) = c + 7. Let z be 8/(-12)*(-21)/2. List the prime factors of v(z).
2, 7
Let u be 90/(-12) - (-2)/(-4). Let h = u + 11. List the prime factors of h.
3
Suppose 3*d + 38 = -4*z + 199, -5*z - d = -215. What are the prime factors of z?
2, 11
Let y(w) = -w - 6. Let j be y(-6). Suppose 2*o + 3*o - 60 = j. What are the prime factors of o?
2, 3
Let g(w) = 4*w - 8. Let o be g(9). Let u = 34 - o. What are the prime factors of u?
2, 3
Suppose 38 = u + u. What are the prime factors of u?
19
Let s be (-4)/(-6)*-11*-6. Suppose -5*c + 29 + s = 3*d, 2*d - 5*c - 82 = 0. Suppose -3*k + d = 7. What are the prime factors of k?
2
Let g(j) = j**2 + j - 10. Let l(n) = -4*n**2 - 4*n + 39. Let m(u) = -9*g(u) - 2*l(u). What are the prime factors of m(0)?
2, 3
Let w(s) = s - 10. Let p be w(13). What are the prime factors of -3*(-1)/p*9?
3
Suppose b + 2 = -b. Let d(z) be the second derivative of -2*z**5/5 + z**4/12 - z**2/2 - 4*z. List the prime factors of d(b).
2
Let f be (14/4)/(2/4). Let t(k) = 5*k + 2. List the prime factors of t(f).
37
List the prime factors of (1 + 0)*4 + 18.
2, 11
Suppose -2*i + 4 = 5*n - 9, 4*i = 3*n + 13. Suppose i*a = o + 3 + 8, -4*a + 2*o + 14 = 0. Suppose 3*x + 2 = 2*x, 20 = 4*v + a*x. List the prime factors of v.
2, 3
Suppose 0 = -2*l - 0*l + 10. Let r(p) = -p**2 + 6*p + 4. List the prime factors of r(l).
3
Let y = -66 - -207. What are the prime factors of y/13 - 4/(-26)?
11
Suppose l - 2 = -0, -r + 20 = -5*l. Suppose 5*o - r - 5 = -d, -o + 3 = 0. What are the prime factors of d?
2, 5
Let b(y) = -y**3 - 6*y**2 + y - 5. Let m(g) = -2*g**2 + g. Let j be m(2). Let f be b(j). Let u = 19 + f. What are the prime factors of u?
2
Let d be (-1)/((4/8)/((-81)/6)). Suppose -14 = z + 2. Let l = z + d. What are the prime factors of l?
11
Suppose x + 5*t = 4*t + 7, 4 = 2*t. Let f be 2/(-3) + (-1)/3. List the prime factors of (x/(-2))/(f/2).
5
Let z(q) = -q**3 - 12*q**2 + 13*q + 10. What are the prime factors of z(-13)?
2, 5
Let b(g) = 34*g**2 - g. List the prime factors of b(2).
2, 67
Let t(i) = -12*i - 3. Let x be t(-2). Suppose -d - x = -0*j - 4*j, -5*d + 20 = 5*j. What are the prime factors of -2 - -7 - (d + 0)?
2, 3
Suppose w = 4*w. Suppose -15 = -3*o - w*o. What are the prime factors of o?
5
Let z = -24 + 15. List the prime factors of (2 - 53)/(z/6).
2, 17
Let m(l) = 14*l**2 + 3*l - 5. What are the prime factors of m(2)?
3, 19
Suppose -4*a + 7 = -9. List the prime factors of a.
2
What are the prime factors of (32 + 1 + -4)*4/2?
2, 29
Suppose 2*a = -4*f + 117 + 241, 0 = 3*a - 3. What are the prime factors of f?
89
Suppose 5*l - 15 = -0*l. Suppose 6*c - c = 10, 0 = -n - 2*c + 7. Suppose 20 = 3*y - 2*o + n*o, 20 = y + l*o. What are the prime factors of y?
5
Suppose 4*h - 7 = 9. Suppose 0*i = -2*d - h*i + 18, 5*i - 3 = 4*d. What are the prime factors of d?
3
Suppose 5*w = -4*r - 2, -6 = -5*w + 4*r + 16. Suppose n = -p - 2, w*p + 34 = -3*p + n. Let u = p + 13. What are the prime factors of u?
7
Let h(w) = 5*w**2 + 4*w + 2. List the prime factors of h(-2).
2, 7
Let s = 0 + -1. Suppose -3*j - 4*w = 7, j + 2*w - 11 = 4*w. Let t = j + s. List the prime factors of t.
2
Let f(r) = r**2 - 8*r - 1. Suppose k = -2*k - 5*s + 21, -5*s = 0. Let j be f(k). Let l = j + 18. What are the prime factors of l?
2, 5
Let t(g) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
2?
2276
In base 3, what is 10110112 + -2?
10110110
In base 2, what is -101 + 1100010100001?
1100010011100
In base 8, what is 151 - 3?
146
In base 16, what is 18 - -36?
4e
In base 3, what is 110 + 100122?
101002
In base 4, what is 23 - -32?
121
In base 12, what is -37 + 34?
-3
In base 14, what is 2 - -6b?
6d
In base 14, what is 7 - 10?
-7
In base 16, what is 7 - 24?
-1d
In base 4, what is 10 - -12122?
12132
In base 7, what is 3 + 40?
43
In base 2, what is -111010000 - 0?
-111010000
In base 4, what is -13032 - 1031?
-20123
In base 10, what is -1 - -425?
424
In base 13, what is 3 + -3?
0
In base 6, what is 5013 + 3?
5020
In base 15, what is -53 - -1a?
-38
In base 12, what is -20 - 332?
-352
In base 10, what is -1616 - 5?
-1621
In base 4, what is 311 + -122?
123
In base 2, what is 11 - -11111111?
100000010
In base 4, what is 3 + -1002?
-333
In base 4, what is 10301 + 23?
10330
In base 16, what is 1 - -f5?
f6
In base 4, what is 300 - -222?
1122
In base 15, what is 3 + 6?
9
In base 4, what is 2010 - -10?
2020
In base 2, what is 11110100010 + 1000?
11110101010
In base 12, what is -7 + -18?
-23
In base 9, what is -1 - 35?
-36
In base 10, what is -1 - -9?
8
In base 9, what is 1701 - 5?
1685
In base 9, what is 5 - 304?
-288
In base 6, what is -52242 + -3?
-52245
In base 8, what is 3 - -234?
237
In base 4, what is -21103 - -1?
-21102
In base 9, what is 4 - -6?
11
In base 3, what is 22020012 - -12?
22020101
In base 16, what is 3a + -f?
2b
In base 5, what is -11 - 40?
-101
In base 4, what is -1 + 1101?
1100
In base 13, what is -3275 - -4?
-3271
In base 8, what is -4733 + 1?
-4732
In base 4, what is 11021 + -3?
11012
In base 14, what is 0 + -a?
-a
In base 11, what is -5 - -11?
7
In base 8, what is -324 - -2?
-322
In base 2, what is 1100100110 + 10111?
1100111101
In base 12, what is -2b + -4?
-33
In base 3, what is -2121000 + 10?
-2120220
In base 4, what is -2300 + -3?
-2303
In base 10, what is 4 + -16?
-12
In base 9, what is 4 - 8180?
-8175
In base 11, what is 2 - -286?
288
In base 8, what is -1354 + -2?
-1356
In base 2, what is 1000011 + 10?
1000101
In base 5, what is 224 - 1110?
-331
In base 5, what is 0 - 14340?
-14340
In base 16, what is 3 - -4ba?
4bd
In base 15, what is 1 + 3e?
40
In base 7, what is 110 - -220?
330
In base 11, what is 1a - 38?
-19
In base 6, what is -5 + 11115?
11110
In base 3, what is -1021220 - -11?
-1021202
In base 14, what is -4 - 33?
-37
In base 5, what is -23 - -2?
-21
In base 7, what is -6 - 1105?
-1114
In base 12, what is -3 + 2?
-1
In base 13, what is -14 - -6?
-b
In base 4, what is -1 - 331331?
-331332
In base 15, what is e + -246?
-237
In base 10, what is 8 + -858?
-850
In base 16, what is 5 + -ae7?
-ae2
In base 6, what is -4 + 2204?
2200
In base 9, what is 644 - 5?
638
In base 8, what is 3 - -156?
161
In base 10, what is -2512 - -4?
-2508
In base 13, what is 0 - -106?
106
In base 3, what is 2021002 - 2?
2021000
In base 16, what is 0 - -54c?
54c
In base 15, what is 1 + 50?
51
In base 5, what is -101104 - -2?
-101102
In base 2, what is -1001100111 + -110?
-1001101101
In base 16, what is -5 - -6d1?
6cc
In base 7, what is -3 + -50?
-53
In base 7, what is 2510 + 4?
2514
In base 14, what is -28 - 10?
-38
In base 13, what is 8 + -5a?
-52
In base 3, what is -22 + -1012222?
-1020021
In base 2, what is -111101 - 1110100?
-10110001
In base 4, what is 302 - -1123?
2031
In base 11, what is 41 + 3?
44
In base 9, what is 14 + -14?
0
In base 2, what is -10000011 - 11011?
-10011110
In base 13, what is -413 + -b?
-421
In base 16, what is 294c - 3?
2949
In base 6, what is -5521 + -10?
-5531
In base 15, what is c6 + 2?
c8
In base 9, what is 171 - -12?
183
In base 16, what is -1 - -6?
5
In base 15, what is 5 - -3a2?
3a7
In base 15, what is 3 + -3a?
-37
In base 13, what is 1 - -174?
175
In base 14, what is -20 + -7?
-27
In base 12, what is 39 + -16?
23
In base 14, what is -1 + 7d9?
7d8
In base 5, what is -413 + 1?
-412
In base 10, what is 0 - -24?
24
In base 13, what is 4964 - 3?
4961
In base 14, what is -159 + 2?
-157
In base 13, what is -5 - -23?
1b
In base 8, what is 2 - 2650?
-2646
In base 14, what is -2 + 7c0?
7bc
In base 13, what is -5 + -117?
-11c
In base 7, what is -21 + 2313?
2262
In base 3, what is -1 - 1120122?
-1120200
In base 5, what is 414 - -32?
1001
In base 14, what is 2 - -237?
239
In base 16, what is -2 - 16b?
-16d
In base 14, what is -19 + -18?
-33
In base 13, what is -4 + 1?
-3
In base 6, what is 5 - -22013?
22022
In base 14, what is -4 + 30?
2a
In base 16, what is -5 + a3f?
a3a
In base 2, what is 111 - 100?
11
In base 9, what is 15 + 23?
38
In base 15, what is -1 - -1a?
19
In base 11, what is -2 - 114?
-116
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
4:55 PM
How many minutes are there between 4:16 PM and 6:49 PM?
153
How many minutes are there between 10:32 PM and 5:12 AM?
400
How many minutes are there between 3:42 AM and 9:48 AM?
366
What is 588 minutes before 9:17 PM?
11:29 AM
How many minutes are there between 3:41 PM and 6:20 PM?
159
How many minutes are there between 10:58 AM and 4:03 PM?
305
What is 176 minutes before 8:06 PM?
5:10 PM
How many minutes are there between 2:05 AM and 1:23 PM?
678
How many minutes are there between 12:08 AM and 7:47 AM?
459
What is 320 minutes after 10:31 PM?
3:51 AM
How many minutes are there between 7:29 PM and 10:52 PM?
203
What is 251 minutes before 2:50 AM?
10:39 PM
How many minutes are there between 7:18 AM and 6:15 PM?
657
How many minutes are there between 1:54 PM and 3:35 PM?
101
What is 388 minutes before 11:04 AM?
4:36 AM
How many minutes are there between 7:16 AM and 11:25 AM?
249
How many minutes are there between 2:05 AM and 6:35 AM?
270
What is 159 minutes before 11:58 AM?
9:19 AM
What is 120 minutes before 1:53 AM?
11:53 PM
How many minutes are there between 3:25 AM and 11:48 AM?
503
What is 207 minutes before 10:05 PM?
6:38 PM
What is 92 minutes after 11:29 PM?
1:01 AM
How many minutes are there between 11:20 AM and 10:37 PM?
677
What is 135 minutes after 4:23 PM?
6:38 PM
How many minutes are there between 6:04 AM and 9:55 AM?
231
How many minutes are there between 10:38 AM and 9:53 PM?
675
What is 98 minutes after 5:42 PM?
7:20 PM
What is 612 minutes after 7:35 PM?
5:47 AM
What is 97 minutes after 10:24 PM?
12:01 AM
What is 167 minutes before 3:54 PM?
1:07 PM
What is 439 minutes before 6:50 AM?
11:31 PM
How many minutes are there between 2:48 PM and 7:44 PM?
296
What is 292 minutes before 9:35 PM?
4:43 PM
What is 641 minutes after 7:12 AM?
5:53 PM
What is 688 minutes after 6:03 PM?
5:31 AM
What is 89 minutes after 6:55 AM?
8:24 AM
What is 303 minutes after 10:23 PM?
3:26 AM
What is 394 minutes after 11:40 AM?
6:14 PM
How many minutes are there between 4:33 PM and 2:03 AM?
570
What is 453 minutes before 4:11 AM?
8:38 PM
How many minutes are there between 2:50 AM and 1:45 PM?
655
What is 35 minutes after 11:49 PM?
12:24 AM
How many minutes are there between 3:45 AM and 6:30 AM?
165
How many minutes are there between 11:48 PM and 11:18 AM?
690
What is 610 minutes after 6:57 PM?
5:07 AM
What is 691 minutes before 11:40 PM?
12:09 PM
How many minutes are there between 5:36 PM and 10:19 PM?
283
What is 207 minutes before 9:08 AM?
5:41 AM
What is 137 minutes after 7:05 AM?
9:22 AM
How many minutes are there between 12:43 PM and 6:36 PM?
353
How many minutes are there between 10:13 AM and 11:16 AM?
63
How many minutes are there between 12:18 AM and 2:01 AM?
103
How many minutes are there between 11:12 AM and 9:39 PM?
627
How many minutes are there between 6:23 PM and 7:40 PM?
77
What is 274 minutes after 3:28 PM?
8:02 PM
How many minutes are there between 9:05 AM and 12:34 PM?
209
What is 52 minutes before 3:56 PM?
3:04 PM
What is 410 minutes after 4:08 AM?
10:58 AM
What is 685 minutes after 8:54 PM?
8:19 AM
What is 501 minutes after 3:15 PM?
11:36 PM
What is 559 minutes before 2:18 PM?
4:59 AM
How many minutes are there between 11:04 PM and 1:40 AM?
156
What is 400 minutes before 4:18 PM?
9:38 AM
What is 153 minutes after 3:41 PM?
6:14 PM
What is 159 minutes after 12:28 PM?
3:07 PM
What is 9 minutes after 11:23 PM?
11:32 PM
What is 181 minutes after 6:20 AM?
9:21 AM
How many minutes are there between 3:22 PM and 11:15 PM?
473
How many minutes are there between 1:47 AM and 4:39 AM?
172
What is 25 minutes after 10:47 PM?
11:12 PM
What is 507 minutes after 2:50 AM?
11:17 AM
What is 283 minutes after 8:46 PM?
1:29 AM
How many minutes are there between 9:02 AM and 11:21 AM?
139
How many minutes are there between 7:40 PM and 1:17 AM?
337
What is 238 minutes before 12:27 AM?
8:29 PM
What is 496 minutes before 6:45 PM?
10:29 AM
What is 532 minutes before 12:51 PM?
3:59 AM
What is 414 minutes before 6:26 AM?
11:32 PM
How many minutes are there between 4:46 AM and 4:56 AM?
10
How many minutes are there between 5:11 PM and 2:01 AM?
530
What is 468 minutes before 2:27 AM?
6:39 PM
What is 367 minutes after 3:32 AM?
9:39 AM
What is 249 minutes before 9:16 PM?
5:07 PM
How many minutes are there between 9:28 AM and 5:49 PM?
501
How many minutes are there between 11:27 PM and 9:11 AM?
584
How many minutes are there between 6:13 AM and 9:36 AM?
203
How many minutes are there between 9:39 AM and 7:55 PM?
616
How many minutes are there between 3:43 PM and 4:23 PM?
40
How many minutes are there between 1:18 AM and 2:06 AM?
48
How many minutes are there between 1:23 AM and 10:15 AM?
532
What is 697 minutes before 4:35 PM?
4:58 AM
How many minutes are there between 11:03 AM and 2:32 PM?
209
How many minutes are there between 3:32 AM and 9:48 AM?
376
What is 538 minutes after 9:16 AM?
6:14 PM
What is 688 minutes after 6:20 PM?
5:48 AM
How many minutes are there between 4:35 AM and 2:05 PM?
570
How many minutes are there between 5:41 PM and 3:51 AM?
610
What is 591 minutes after 6:06 PM?
3:57 AM
What is 491 minutes after 1:37 PM?
9:48 PM
What is 578 minutes after 7:10 AM?
4:48 PM
What is 36 minutes before 10:28 AM?
9:52 AM
How many minutes are there between 11:57 AM and 11:06 PM?
669
How many minutes are there between 10:13 PM and 2:33 AM?
260
What is 517 minutes before 9:11 AM?
12:34 AM
How many minutes are there between 5:56 AM and 4:27 PM?
631
How many minutes are there between 3:42 PM and 11:52 PM?
490
How many minutes are there between 11:34 PM and 3:05 AM?
211
How many minutes are there between 6:17 PM and 2:04 AM?
467
How many minutes are there between 5:26 AM and 12:10 PM?
404
How many minutes are there between 8:10 PM and 6:30 AM?
620
How many minutes are there between 12:49 AM and 10:48 AM?
599
What is 570 minutes after 8:56 PM?
6:26 AM
How many minutes are there between 7:25 AM and 4:44 PM?
559
How many minutes are there between 6:35 AM and 3:03 PM?
508
How many minutes are there between 2:17 AM and 7:58 AM?
341
What is 153 minutes after 2:22 PM?
4:55 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
when c is divided by 15.
12
Let d = 1 - -10. What is the remainder when d is divided by 8?
3
Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33?
32
Let l be 2/(-10) - 4/(-20). Let m(g) = g + 12. Let f be m(-6). Suppose 4*c + f - 22 = l. Calculate the remainder when c is divided by 2.
0
Suppose 22 = r - 9. What is the remainder when r is divided by 8?
7
What is the remainder when (1 - -12)/((-3)/(-15)) is divided by 22?
21
Suppose -791 + 245 = -3*z + 2*a, 0 = a. Let p = z - -2. What is the remainder when 1/3 + p/6 is divided by 16?
15
Suppose -10*p - 301 = -17*p. What is the remainder when p is divided by 3?
1
Suppose 130*j - 133*j + 24 = 0. Calculate the remainder when 14 is divided by j.
6
Let u(j) = -6*j - 5. Suppose o + 3 = 5*d - 27, -5*d - o = -20. Let s be u(d). Let v = 67 + s. What is the remainder when v is divided by 11?
10
Let r be 4/6*(-18)/(-2). Let c(d) = d**2 - 7*d - 8. Let u be c(8). Let y = r + u. Calculate the remainder when y is divided by 3.
0
Let n = -3 - -6. Calculate the remainder when -1 + 2 + n + 0 is divided by 3.
1
Let k(c) = 3*c - 2. What is the remainder when 37 is divided by k(5)?
11
Let c = -23 + 33. Calculate the remainder when 28 is divided by c.
8
Suppose 2*w = 5*j - 81, 4*w - 76 = -3*j - j. What is the remainder when 33 is divided by j?
16
Suppose 5*k + 8 = 2*d + 4*k, 0 = -3*d + 2*k + 13. Suppose 3*x + d = 0, -2*b = -0*b - x - 25. Let y = 25 - 18. What is the remainder when b is divided by y?
5
Suppose -4*p = -3*q - 31, -5*p + q + q = -30. What is the remainder when 19 is divided by p?
3
Suppose 3*r = 2*r - 2. Let c be r/(-1) + 3/3. Let x(v) = 7*v - 4. Calculate the remainder when x(c) is divided by 9.
8
Let z = -3 - -15. Let k = 101 + -66. What is the remainder when k is divided by z?
11
Suppose 0*i = 2*i - 4. Suppose -i*d + 104 = 2*d. What is the remainder when d is divided by 14?
12
Suppose k = 4*l - 5 - 0, 5*l = 25. What is the remainder when 44 is divided by k?
14
Suppose -2*d - 4 = -0*d. Calculate the remainder when 38 is divided by 18 + 1/((-1)/d).
18
Suppose -63*b + 35 = -62*b. Calculate the remainder when b is divided by 7.
0
Let r(k) = k + 1. Let d be r(-1). Suppose -2 = -n - d*n. Suppose -w + 4*s = -n*w + 49, 3*w = 2*s + 77. Calculate the remainder when w is divided by 15.
14
Let i(h) be the third derivative of h**5/6 - h**4/24 + h**2. What is the remainder when 25 is divided by i(1)?
7
Let q = -2 - -2. Let z = q - 0. Calculate the remainder when 5 is divided by (9/(-3) - z)*-1.
2
Suppose -948 + 268 = -5*v. Suppose -52 = -4*u + v. What is the remainder when u is divided by 13?
8
What is the remainder when ((-3)/(-9))/(3/63) is divided by 2?
1
Suppose 0 = -3*u + 30 + 21. Calculate the remainder when 61 is divided by u.
10
Let o(c) = -3*c - 5. Suppose -5*y + 2*a = -63, -49 = -3*y - 4*a - 6. What is the remainder when y is divided by o(-4)?
6
Let i = -226 + 320. What is the remainder when i is divided by 19?
18
Suppose y - 21 - 15 = 0. Suppose 5*m + 2*w = 75, 0 = -6*m + 9*m + 4*w - 59. Calculate the remainder when y is divided by m.
10
Let c be 3 - 1/(2/(-82)). Suppose 7*n - l = 4*n + c, 0 = -2*l - 10. What is the remainder when n is divided by 8?
5
Let g(b) = -b - 1. Suppose -j = -4*o + 1 + 23, 2*j + o = -3. Calculate the remainder when -2 + (-24)/(-1 + -1) is divided by g(j).
1
Let b(g) = -g**2 - 3*g + 4. Let p be 2 - (0 + -1)*2. Suppose -p = -4*i + 4. Calculate the remainder when b(-3) is divided by i.
0
Let m = -10 + 14. Suppose -3*q = -m*a + 34, 0 - 2 = q. What is the remainder when a is divided by 4?
3
Let q be (2/4 + -1)*0. Let f = 118 + -72. What is the remainder when f is divided by (-1 + q - -15) + 2?
14
Let u(v) be the third derivative of -v**4/3 + v**3/6 + 2*v**2. Let s be u(-3). Let a = -8 + s. Calculate the remainder when 66 is divided by a.
15
Let t = 117 + -81. What is the remainder when 70 is divided by t?
34
What is the remainder when -1*(-22 + 0) + 20 + -19 is divided by 9?
5
Suppose 8*w = -4*w + 288. Suppose -4*m + 121 = -159. What is the remainder when m is divided by w?
22
Suppose -4*i + 0*i = -52. Let z(v) = 2*v - 3. Let x be z(2). Calculate the remainder when x/(-4) - 306/(-8) is divided by i.
12
Let i = -7 + 10. Let a = -22 + 46. Suppose -i*d = -d - a. Calculate the remainder when 35 is divided by d.
11
Suppose -2*a = 3*i - 20, -i + 4*i + 3*a = 18. What is the remainder when 30 is divided by i?
6
Let b(o) = 9*o**3 + 5*o**2 - 2*o - 5. Let c(r) = 5*r**3 + 3*r**2 - r - 2. Let q(v) = -4*b(v) + 7*c(v). What is the remainder when 15 is divided by q(0)?
3
Let n be ((-2)/(-4))/(-1)*-6. Let o = -3 - -15. What is the remainder when 1/n - (-312)/9 is divided by o?
11
Suppose 2 = -g + 13. What is the remainder when 21 is divided by g?
10
Suppose -4*w - 5 = 4*p - 41, 2*p + 12 = 4*w. Let q = p - -6. Let t = -5 + 23. Calculate the remainder when t is divided by q.
8
Let p = -8 + 12. Let r be 4*(-1 + 6/p). What is the remainder when 6 + r + (2 - 0) is divided by 6?
4
Suppose -1 = -5*j + 9. Suppose 0 = -h + d + 2*d + 4, j*h + 4*d = 58. What is the remainder when 75 is divided by h?
18
Let a = 9 + -35. Suppose -3*u + 2*z = -7*u + 6, 4*u = 4*z - 24. Calculate the remainder when (a/2)/(u/2) is divided by 9.
8
Let q(m) be the third derivative of m**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ a/(-14). Suppose -k*o = 1 - 10. Which is bigger: o or -2/17?
o
Let y(n) = -n**3 - n**2 + 4*n - 1. Let x be y(-3). Suppose -x*u = 2*u. Suppose u = 4*w - 21 - 7. Is 4 less than or equal to w?
True
Let c be (-69)/(-138) - (-1 - (-2 - 447/(-1446))). Which is smaller: 0 or c?
c
Suppose 5*c + s + 730 = 0, 2*c = 10*s - 9*s - 299. Which is bigger: c or 14?
14
Let b = -206 - -209. Let i be (1*b/10)/((-12)/32). Which is bigger: -1 or i?
i
Suppose 28*y + 178 + 186 = 0. Let g(z) = 10*z + 129. Let t be g(y). Which is bigger: t or 0?
0
Let g(f) be the third derivative of -1/15*f**5 - 7/12*f**4 + f**2 + 2*f**3 + 0 + 0*f + 1/120*f**6. Let s be g(6). Which is smaller: s or -5/48?
-5/48
Let r be -2*5/(3 - -217)*-10. Let u(v) = v**2 + 0 - 7*v - 12 - v - 3*v. Let z be u(12). Is z < r?
True
Let k be (-54)/(-297) - 53252/308. Is -174 <= k?
True
Let j = 137 - 237. Let l = 0.051 - -99.949. Let p = j + l. Is -43 at most p?
True
Let b be ((-136)/(-140) + -1)/(2322/(-8055)). Let r = -1/258 + b. Which is smaller: r or 18?
r
Suppose 4*f + 2*j - 2250 = 0, 15*f - 14*f = -4*j + 552. Let n = f - 563. Is 19/7 at least n?
True
Let d = -399 + 399. Suppose d = -4*c - 117 - 3. Is -30 less than c?
False
Let y(c) = c**3 - c**2 - c. Let d be y(2). Suppose -d*p + 0*p = p. Suppose p = -4*i - 3 - 1. Do 24 and i have different values?
True
Let n = 842.8 + -966. Let x = n + 123. Is -8 < x?
True
Let b = 29203977 + -59861013/2. Let v = b - -559429631/770. Let h = v - -24/77. Which is smaller: h or 3?
h
Let n(f) be the first derivative of 2*f**2 - 28*f - 10. Let m be n(9). Suppose 6*k + 4*b - 23 = 5*k, -3*b + 12 = 0. Which is bigger: m or k?
m
Let r = -179 + 1255/7. Suppose 3*j - 52 = -4*b + 5*j, 0 = -3*b - 3*j + 39. Let s = -20 + b. Is s at least as big as r?
False
Let k = -108.18 + 108.6. Let h = 0.3 - 0.3. Are h and k non-equal?
True
Let m = 7820 + -8639. Which is smaller: -2455/3 or m?
m
Let h(s) = s - 21. Let t be h(14). Let v = -11.9 + 14. Let w = -0.1 + v. Which is bigger: t or w?
w
Let t(z) = z**3 - 6*z**2 - 12*z - 44. Let p be t(8). Let r(a) = -a**3 - 14*a**2 - 20*a + 47. Let i be r(p). Is 9/85 >= i?
True
Suppose 92 = 3*k - 4*c, 4*c = -k + c + 22. Let d be ((-4)/(-10))/(k/(-378)). Which is smaller: d or -6?
-6
Let p be (-325220)/560 - (2/(-1))/(-8). Which is bigger: p or -585?
p
Suppose 10*r + 140 = 8*r. Let p = r + 86. Let n be (-4)/2 - 4*-5. Which is smaller: n or p?
p
Let v = -127 - -129. Let t be (v*6/16)/((-1)/(-56)). Let r = 1584250/37131 - -2/12377. Which is smaller: t or r?
t
Let r = 24516 + -24460. Are r and 21 unequal?
True
Let o = 7998 - 7840. Which is bigger: o or 148?
o
Let d = 0.6 + 6.4. Let l = -245.986 - -246. Let v = l - -0.286. Which is smaller: v or d?
v
Let o(g) = 7*g**2 + 2*g - 3. Let v be o(2). Let z = -423 + 111. Let j = z - -313. Is j at least v?
False
Let r = -3/380 - -841/10260. Let k = 17.8 - 22. Let u = k - -4.19. Are u and r equal?
False
Let y = 3 - 1. Suppose 89*g - 4019 + 904 = 0. Suppose 5*r = -y*r + g. Is 1 less than r?
True
Let k = -11525 + 11525. Is k < 770?
True
Let k = -670.243 - 0.757. Let z = 671 + k. Is z at least as big as 589?
False
Let w be 2/(4/115) + 8/(-16). Let b(n) = -n**3 - 4*n**2 - 3*n - 1. Let j be b(-2). Let r be -5 - j - -2*w/56. Which is greater: 0 or r?
r
Let m = 1661 - 6747/4. Let d(v) = 2*v**3 + v**2 - v - 27. Let f be d(0). Is m at most f?
False
Let u(h) = 2*h**2 + 10*h - 8. Let c be u(-6). Let p be (3 - (c + -6)) + -1. Suppose p*b + 29 = 9. Is b less than -6?
False
Let o be 0 - (-9)/10125*(-1 - -3). Let d = 223/1125 + o. Which is bigger: d or -2.1?
d
Let m = 16 - 22. Let h(y) = y**3 + 7*y**2 + 4*y + 2. Let k be h(m). Let l be 4/k + 232/(-28). Which is bigger: -9 or l?
l
Let z(q) = -q**2 - 4*q - 2. Let w be z(-2). Suppose 7*p - w*h = 2*p + 13, 3*p = -h - 1. Let k be ((-16)/(-51))/p + 16/(-24). Is 0 > k?
True
Let t be (80/(-32))/(25/10). Is t bigger than -9/121?
False
Let f = -0.2844 + 0.3374. Which is greater: 7.8 or f?
7.8
Let z = -2 - -3. Suppose 5*t - 4*r = -2946, 2*t - 3*r + 6*r + 1160 = 0. Let m be ((-84)/4)/(t/56) + -2. Is m greater than z?
False
Let f = -123.544 + 123. Let d = f - 424.456. Is d less than 1/2?
True
Let i be ((-20)/(-15))/(6/549). Let c be 8/i*(32 - 34). Is c at least 1?
False
Suppose -x + 0*x = -5. Suppose 5*o - x = 20. Suppose 3*w = 18, 2 = -3*g + 5*w - 22. Is g < o?
True
Let q = 4.99 + -5. Let d = 0.06 + q. Let j(k) = -k**2 + 154*k - 1. Let f be j(0). Which is smaller: d or f?
f
Suppose -2*l = -5*g +
|
{
"pile_set_name": "DM Mathematics"
}
|
me?
False
Let z = 8 + -15. Is (-256 - z)/(-1 - (1 + -1)) a prime number?
False
Let y(k) = 1821*k**2 + 5*k + 39. Is y(-3) prime?
False
Let q(k) = k**2 - 10*k + 6. Let l be q(11). Let c = 19 - l. Is (c + -2)/(-3) + 177 composite?
True
Is ((-148311)/108)/((-3)/4) prime?
True
Let z(b) be the second derivative of 5*b**4/8 + b**3/3 + b**2/2 - 2*b. Let r(v) be the first derivative of z(v). Is r(5) a prime number?
False
Suppose -2*g + g = 0. Let x be 3/(g + -1 + 2). Suppose x*k = -5*z + 246, 163 = -k + 3*k + 3*z. Is k a composite number?
True
Let a be (6/(-30) - 3/10)*-2. Is 5/a + (72 - -32) composite?
False
Is (0 + 1)/((-17)/(-426139)) a prime number?
False
Suppose -3*t + 4*x = 40 + 15, -t + 2*x - 17 = 0. Is (7/t)/(-1*2/3798) a prime number?
False
Suppose z - 5*g + 16210 = 45199, 2*g = -5*z + 144891. Is z prime?
True
Is 3457/(-5)*1320/(-24) a prime number?
False
Let g(c) = 3*c**2 - 19*c - 31. Let w(i) = -i**2 + 9*i + 16. Let x(s) = 3*g(s) + 5*w(s). Is x(12) prime?
True
Suppose 2*n + 0*n = u + 1, -u = 4*n + 1. Suppose n = 4*h + 1 - 21. Suppose 488 = 4*b + 5*t, 7 = h*t + 27. Is b a composite number?
False
Let r = 16832 + -9829. Is r composite?
True
Let j = -11504 + 2479. Let o = -6086 - j. Is o a prime number?
True
Let t(h) = -285*h + 44. Is t(-37) prime?
True
Let m(y) be the second derivative of y**4/12 - y**3/3 + 3*y**2/2 - y. Suppose -4*x = -v - 19, 5*v = 4*x - 31 - 0. Is m(x) a composite number?
False
Suppose -18 = -5*o - 2*l, 0 = -o - 2*o + l + 2. Is 7*((-662)/3)/(o/(-3)) a prime number?
False
Let d be (-5 + 8)*160/(-6). Let l = 258 + d. Is l composite?
True
Suppose -m = 1, -121 = -k + 4*m - 3*m. Let z = 39 + k. Is z composite?
True
Let c(l) = -145*l**3 + 2*l**2 + 7*l + 31. Is c(-3) a prime number?
True
Suppose -x - 16 = -20. Let w = 1 + x. Suppose -3*i = -w*i + 422. Is i a prime number?
True
Let d(r) = 6*r + 4*r + 5*r**2 - 4*r**2 + 9. Let w be d(-9). Suppose 3*z = 2*c + 2599, w*z - 2*z + 1746 = 2*c. Is z composite?
True
Let d(t) = -t + 17. Let r be d(13). Let p(u) = -u**2 + 4*u + 4. Let m be p(r). Suppose -m*j + 0*j = -4244. Is j a composite number?
False
Let b be (2 - 5 - -5547) + -1. Let d = b - 2814. Is d a prime number?
True
Suppose -p = -3*f + 2, -2*p - f - 14 = -6*p. Suppose -5*m - 5*h + 162 + 713 = 0, -p*h = 5*m - 879. Is m prime?
True
Let v be (1/2)/(17/170). Let y(h) = 353*h - 11. Is y(v) a prime number?
False
Suppose 3*i = -i + 1996. Is i a composite number?
False
Let m be (-3 + (-27)/5)*245. Let i = -587 - m. Suppose -3*s - i = -8*s + a, -5*a - 1160 = -4*s. Is s composite?
True
Let d be -6*((-7)/2 + 3). Suppose -17 = -4*a + d. Suppose 5*x + a = 1030. Is x a composite number?
True
Suppose 2*i + 518 = c, 2*i - i = -4*c - 277. Is (-5 - -3)/(6/i) + 0 composite?
True
Suppose 1145 + 1119 = 4*z + u, -1114 = -2*z - 5*u. Let b = 854 - z. Is b composite?
True
Let r(t) = 3*t**2 - t + 10. Let x be r(16). Suppose -x = -10*a + 4*a. Is a composite?
False
Let k be ((-232)/(-5))/((-6)/(-135)). Suppose 0 = -4*m, -f - 2*m + k = 137. Is f a composite number?
False
Is -5*(11 + 578412/(-45)) composite?
True
Let x(t) = t**3 - 21*t**2 - 6*t + 27. Let p be x(21). Let h = -10 - p. Is h composite?
False
Suppose -40*a = -48*a + 56552. Is a a prime number?
True
Suppose 0 = -o - r + 168, 0*o = -2*o + 5*r + 357. Suppose -o = -4*c + 413. Is c prime?
False
Let s(q) = 15231*q**2 - 14*q + 14. Is s(1) a prime number?
False
Suppose 9*n = 112142 - 8471. Is n a prime number?
True
Suppose -f + 2*z + 12 = 0, -4*f + 8*z = 4*z - 40. Let y(c) = c**3 - 3*c**2 - c + 7. Is y(f) a composite number?
True
Let x(q) = 13*q + 7 + 4*q**2 + q**3 - 6*q + 2*q**2. Let l be x(-5). Is l + 102 - (-4)/(-2) a prime number?
True
Suppose -66*g = -78*g + 74268. Is g a composite number?
True
Suppose 211*r = 220*r - 38574. Is r a composite number?
True
Suppose 118*g + 232033 = 135*g. Is g a composite number?
False
Let z be (38/57)/(-2 + 19/9). Is 2 + -6 + z + 527 composite?
True
Let a(u) = 4*u**2 - 2. Let n be -10*(12/(-8) + 1). Suppose -1 = y - n. Is a(y) prime?
False
Let x(h) = -h + 24. Let y be x(8). Let d = y - -3083. Is d a prime number?
False
Is -1 - (0 - 0) - (-4407 - 3) a prime number?
True
Let c be 595 + 1 - (4 + -6). Let g = 855 - c. Is g prime?
True
Suppose -3*d + 11*d = 16. Suppose g - u = -d*g + 991, 4*g - 1326 = -u. Is g prime?
True
Suppose -4*m + 32 = 2*x, 2*m + 0*m = x. Suppose x*q - 933 = 5*q. Is q a prime number?
True
Let f(s) = -s**3 - 9*s**2 + 2*s - 22. Let n be (-8)/(-10) + 432/(-40). Let t be f(n). Suppose t + 1064 = 6*j. Is j prime?
False
Let p(i) = 2*i**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y.
12*r**3*y - 12*r*y - 8074*r
Find the third derivative of 806755*l**3 - 674571*l**2 wrt l.
4840530
What is the second derivative of 227282*f**4 - 544954*f?
2727384*f**2
What is the second derivative of 32150*v**5 + 28915*v wrt v?
643000*v**3
Find the third derivative of 4297639*r*y**6 + 1945*r*y**2 - y**2 - 1 wrt y.
515716680*r*y**3
What is the first derivative of i**4 + 1303*i**3 + i**2 - 194126 wrt i?
4*i**3 + 3909*i**2 + 2*i
Differentiate -38380*b**4 - 21267.
-153520*b**3
Differentiate s**3 + 2*s**2 - 23583*s + 29577.
3*s**2 + 4*s - 23583
Find the first derivative of f*i**3 - 181957*f*i**2 - 3*f*i + f + 5013876*i**3 wrt f.
i**3 - 181957*i**2 - 3*i + 1
What is the third derivative of -1072408*k**3 + 4542*k**2 + 3*k + 1 wrt k?
-6434448
Differentiate 2*v**3 + 26*v**2 + 123*v + 127976 wrt v.
6*v**2 + 52*v + 123
What is the second derivative of -d*m*o**3 + 321*d*m*o**2 - d*m - 7*d*o**3 - m*o + 61*m - 64*o wrt o?
-6*d*m*o + 642*d*m - 42*d*o
Find the third derivative of -27879*w**3 - 41813*w**2.
-167274
Find the first derivative of k**3*n + 20*k**3 + 34*k**2*n - 2*k + 49*n + 15 wrt n.
k**3 + 34*k**2 + 49
What is the second derivative of -147870*c**5 + 146678*c?
-2957400*c**3
Find the second derivative of 3081548*g*r**2 + 113*g*r + 2*r + 472 wrt r.
6163096*g
Find the third derivative of -80175*x**5 - 97755*x**2.
-4810500*x**2
What is the third derivative of -11*x**6 + 1146*x**3 + 187768*x**2 wrt x?
-1320*x**3 + 6876
Differentiate 110*b**2*d**2*j*p - b**2*d**2*j + 423*b**2*d*j + 18*b*d*j - 66*d*j*p + 2*d wrt p.
110*b**2*d**2*j - 66*d*j
Find the second derivative of 38*q**4 - 18*q**3 + 28*q**2 + 177241*q.
456*q**2 - 108*q + 56
What is the third derivative of -105*a**2*b**3 - 2503*a**2 - 9*a*b**2 - a - 882*b**5 - 4*b**2 wrt b?
-630*a**2 - 52920*b**2
Find the third derivative of 56048*z**3 - 61302*z**2 wrt z.
336288
Find the second derivative of -429168*f**3 - 2*f**2 + 814760*f.
-2575008*f - 4
What is the first derivative of h*k - 913*h - 10040*k**4 + 2 wrt k?
h - 40160*k**3
What is the derivative of -57470*j + 30034?
-57470
What is the first derivative of -2*t**3 - 1432*t**2 + 6*t - 106235 wrt t?
-6*t**2 - 2864*t + 6
What is the second derivative of -211036*b**2 - 262219*b?
-422072
Find the third derivative of -73*f**5 + 380*f**4 - f**2 + f + 14974.
-4380*f**2 + 9120*f
Differentiate -19949*x + 75150 wrt x.
-19949
What is the derivative of -224277*f*g*x - 4*f*g - 537*f + 10*g wrt x?
-224277*f*g
What is the third derivative of 274363*z**5 - 16*z**2 + 289*z + 3?
16461780*z**2
Find the third derivative of -99442*a**5*l**3 + 4*a**2*l + 25620*a*l**3 wrt a.
-5966520*a**2*l**3
What is the second derivative of 45039*l**4 + 137*l + 173 wrt l?
540468*l**2
Find the third derivative of 140*n**6 + 103*n**4 - 3*n**2 + 106*n + 45.
16800*n**3 + 2472*n
What is the third derivative of 57649*f**3 - 1302052*f**2 wrt f?
345894
Find the first derivative of 102222*a**2 + 71115.
204444*a
What is the third derivative of 2120295*d**4 + 42*d**2 - 5898*d + 2 wrt d?
50887080*d
Find the third derivative of 1444489*d*v**3 - 28788*d*v**2 + 20*v**2 wrt v.
8666934*d
What is the second derivative of 281*t**3*y**2 - 11*t**2 - 85*t - 4*y**2 + 2*y wrt t?
1686*t*y**2 - 22
What is the derivative of -3*k*z**3 - 2*k*z + 854*k + 410438*z**3 wrt k?
-3*z**3 - 2*z + 854
What is the second derivative of -3*y**3 - 204992*y**2 + 1889834*y?
-18*y - 409984
Find the second derivative of -47804*i*x**3 + i*x - 1700*i wrt x.
-286824*i*x
Find the third derivative of 54151*m**3 + 2*m**2 - m - 272 wrt m.
324906
Find the third derivative of t**6 + 2*t**5 - 117453*t**3 - 23632*t**2 + 3.
120*t**3 + 120*t**2 - 704718
What is the second derivative of -125*i**3 - 404*i**2 - 35*i + 273?
-750*i - 808
What is the third derivative of 471416*p**5 + 5*p**4 - 2*p**2 - 193*p + 796?
28284960*p**2 + 120*p
What is the derivative of -196*r**2*u + r**2 + 87*r*u + 5248*u + 74 wrt r?
-392*r*u + 2*r + 87*u
Differentiate 78745*h**2*w - 84393*h**2 with respect to w.
78745*h**2
Differentiate -52*s*x**3 + 363*s*x**2 + x**3 - 11*x**2 + 510*x with respect to s.
-52*x**3 + 363*x**2
What is the second derivative of -74854*h**4 + 67*h - 93 wrt h?
-898248*h**2
What is the second derivative of 2395948*i**3 + 89575*i - 4 wrt i?
14375688*i
What is the third derivative of -16*g**4*o**2*z - 65*g**4*z + 2*g**2*o**2 - 11*g**2*o + 733*g**2*z + 2 wrt g?
-384*g*o**2*z - 1560*g*z
Find the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
p*q + 15 = r, -m = 2*q - r - 3*r for q.
-4
Let h = -75 - -78. Suppose -6*c - 2753 + 2831 = 0. Solve -17 = 5*w - 2*g, 5*w + c - h = -5*g for w.
-3
Let p(c) = -4*c**3 - c - 2. Let t be p(-1). Suppose 4*h = 3*r - 5, h = t*r - 1 - 7. Let i be -3*(-2 - -3) - -3. Solve 2 = z - r, l - z = i for l.
5
Let l = -1 + 4. Suppose -1446 = -15*k + 18*k + 3*u, -5*u - 20 = 0. Let f = k + 488. Solve 5*c + 7 = 3*o, -4*o + 0*o - l*c = f for o.
-1
Let q be (-4 - (-5 - -5) - -4)*1. Solve 0 = -o + 4*z - 2*z + 2, q = 4*o + 2*z + 2 for o.
0
Let x(m) = 6*m - 9. Let g(t) = t. Let j(b) = -5*g(b) + x(b). Let w be j(11). Solve 5*v - 5 = -r + 4, -v - 4*r = w for v.
2
Suppose -2*b + 42 = 3*v, -72 + 24 = -3*v - 3*b. Solve 167*y + w = 162*y - 20, 3*w + v = -5*y for y.
-5
Let u(q) = -q**3 - 7*q**2 + 3*q + 66. Let s be u(-6). Suppose -6*w + 1 = -3*w - 5*f, 4*w - s = -4*f. Solve -3*r + w*r + 4*d + 18 = 0, 4*r + d - 4 = 0 for r.
2
Suppose -4*a + a + j - 134 = 0, 3*j + 3 = 0. Let k = -25 - a. Let z be (-4)/(-10) + 92/k. Solve 14 = -4*p + 2*g, 14 + 5 = -z*p + 4*g for p.
-3
Let t be (-8)/(-30)*410/(-492) + (-200)/(-9). Solve -9 = -3*d, 0 = 25*b - t*b - 5*d + 12 for b.
1
Let y = 33 - 31. Let r be (-46*(1 + 0))/y. Let l = r + 26. Solve l*h = -5*q - 24, 4*h - 3*h + 12 = -3*q for q.
-3
Suppose -d - 343 = 4*w, -122 = 5*w + 2*d + 306. Let h = w - -118. Solve 4*k - 2*p = -26, 4*k + 0*p + h = 4*p for k.
-5
Suppose -2*x - 4 = 0, -5*q + 3*x + 53 = -x. Suppose 0 = 4*s - 9*s - 5*n + 45, 14 = s + 2*n. Let c = -10 - -13. Solve 5*m + c*v + q = 2*m, 0 = -s*v + 4 for m.
-4
Suppose -63 = -b - i, 132 = 2*b + 4*i + i. Suppose 2*l = -3*s + 37, 13*l = 5*s + 17*l - b. Solve 2*c + 4*q = 3*q + s, 2*q - 16 = -2*c for c.
5
Suppose -5*w - 18*w - 9 = -78. Let f = 13 + -8. Solve -4*h + 2*t + 3 = -w, f = 4*h - 3*t for h.
2
Suppose -o - n = -102, 0*o - 96 = -o + 2*n. Suppose 120 = 22*h - o. Solve x = 2*l - 2, l + 4*x + 0*x = h for l.
2
Let z(k) = k**2 + 5*k - 3654. Let h be z(-63). Solve b - 3*w + 0*w + 5 = 0, -4*w + 4 = h for b.
-2
Let q = 1115 + -1111. Solve -4*r - 9 = p, 3*p - 6*p = q*r + 3 for p.
3
Suppose 15*p - 14*p = 0. Suppose -3*x + p*x + 105 = 5*z, -5*z + 65 = -5*x. Let d be (182/z - 5) + (-2)/18. Solve -m + j = -d, 2*j - 3 + 23 = 4*m for m.
5
Suppose 2*k = -y + 26, -4*k - 37 + 21 = 0. Solve -5*x + 2*w = 17, 5*x + 9 = -y*w + 38*w for x.
-5
Suppose -5*r + 7*r - 4*l = 102, -4*l - 216 = -4*r. Let k = -54 + r. Solve -5*a + k*x - 10 = x, 0 = x for a.
-2
Let b = 827 - 805. Suppose 3*y - 4*u - 32 = 0, 2*u + b = -34*y + 37*y. Let l = 13 + -8. Solve -5*x - l = 0, 5*a + y*x = 2*x + 3 for a.
1
Suppose 12*l = 8*l - 2*k + 106, 10*k = 3*l - 91. Let x(i) = -i - 1. Let b be x(-1). Solve -17 = v - 4*p, -4*v - 3*p + 0 + l = b for v.
3
Suppose 2*b = 4*b - 2*u - 4, 3*u + 21 = -2*b. Let a be 165*((50/b)/(-5) + -4). Let c = a + 113. Solve -j = 2*h + c, -h + j + 11 = -j for h.
1
Let h = -366 - -362. Suppose 5*c = -3*u - 78, 4*c + 4*u + 14 + 42 = 0. Let k be (-6)/h*(-48)/c. Solve 16 = k*p + 4*n, 0*n + 5*n - 23 = -2*p for p.
-1
Suppose 37 = -4*i - 3*r, 3*r + 31 = -2*i + 4*r. Let l = i + 21. Suppose 4*q - 16 = -q - 3*z, 4*z = -4*q + l. Solve -q*f - 6*g + 25 = -g, 5*f - g - 13 = 0 for f.
3
Suppose -4*j + 2 = -6. Let r be -1 + -4*15/6 + 22. Solve j*t - r = -b, -3*t = b - 1 - 14 for b.
3
Suppose 0 = 11*q - 6*q, 2*y - 4*q + 66 = 0. Let r = y - -35. Solve b + 4*f + 8 = 0, -9*b - r = -6*b + f for b.
0
Let d = -4 - -4. Suppose 106*r = 138*r. Solve d = -i - 2*m - r - 6, -4*i = -5*m - 41 for i.
4
Let n = -48 - -52. Suppose 0*j = -4*j - 20, -4*j = -n*s + 164. Suppose 20 = 41*c - s*c. Solve 0 = 2*f + 2*u - 14, f + f - 18 = -c*u for f.
5
Let c(j) = 38*j - 1024. Let m be c(27). Solve -u - 54*k = -50*k - 11, 0 = -m*u - k + 8 for u.
3
Let i(t) = -5*t**2 - 32*t + 14. Let b be i(-7). Let k be (b - (-70)/7) + 3. Solve 5*s - 4 = 2*w, -2*s - 2*s - k = 3*w for
|
{
"pile_set_name": "DM Mathematics"
}
|
he closest to a in f, -9, 5?
f
Let p = 0.1 - -0.9. Let w = 91 + -458/5. Let s = -132.7 - -128.7. Which is the nearest to 1/2? (a) p (b) w (c) s
a
Let g = 8.03314 - 0.03314. Which is the closest to g? (a) 1.2 (b) -1 (c) 4
c
Let i = -10.9 + -3.1. Let w = -63673 + 63673.1. Which is the closest to 0.1? (a) w (b) i (c) 0.4
a
Let v = 0.15529 - 0.25529. What is the closest to v in 8, -2/7, 0.054, -0.1?
-0.1
Suppose -i = -2, 5*i - 30 = -0*v + 4*v. Let p = -3.364 + 3.334. Which is the closest to 2? (a) 2/13 (b) p (c) v
a
Let i = 43 + -46. Let r = -4160 - -37442/9. Which is the nearest to -1? (a) -3/11 (b) i (c) r
a
Suppose 17*h - 150 + 99 = 0. Which is the closest to 1/29? (a) 13 (b) -1 (c) -2/5 (d) h
c
Let o = -13331.9 - -13331. Which is the nearest to -2/5? (a) o (b) 0.29 (c) 2/3
a
Let i = -80.2 + -7.8. Let h = i + 88.1. Let q = -0.5 - -0.52. Which is the nearest to 0? (a) h (b) q (c) -1
b
Let q be 0 + 9/6 + -1. Let j be (-1)/(3/(-36)) + 3. Let f be ((-6)/j)/((-112)/(-35)). Which is the nearest to q? (a) f (b) 14 (c) -0.5
a
Suppose -3*s - p + 12 = -4*p, 24 = -4*s - 4*p. Let x = 53.8185 - 0.8485. Let y = x - 53. What is the nearest to y in s, 0, -5?
0
Let l be (-42)/10 - 29253/(-6965). Let s = 13/84 - 1/84. Which is the nearest to -3/8? (a) -2 (b) -0.1 (c) s (d) l
b
Let q = -0.079848 + -0.120152. Let i = 27 + -28.3. Let y = -8.3 - i. Which is the closest to q? (a) -3/5 (b) y (c) 5
a
Let z = -3.253 - -3.153. Let w = -17.7 - 8. Let n = w + 26. What is the nearest to z in 2, 1/10, n?
1/10
Let m be 2/27 + (-1287)/5346. What is the closest to 2 in 2/31, m, 2/11?
2/11
Let p = 0.5376 - 0.0376. What is the nearest to 5 in p, 0.3, 59, -0.1?
p
Let u be (-423)/(-188) - (-2 - (-19)/4). Let z = -2 - -2.3. What is the closest to -1/4 in 1/8, u, z?
u
Let p = 29.8 + 0.2. Let w = -35 + p. Which is the nearest to -1? (a) 0.18 (b) w (c) 1
a
Let v = 28440 + -28433. Let o = -3 - -5. What is the closest to v in o, 3/4, 0.4?
o
Let r = -2.93 + -0.07. Let n = -52 - r. Let o = n - -51. What is the closest to 2 in 1, 0.4, o?
o
Let j be 240/240 + (-6)/(-9). Which is the nearest to -1? (a) -3/7 (b) 30/7 (c) j
a
Let i = 8623/2 + -4311. Let d = 17 - 17.3. Which is the nearest to i? (a) -5 (b) d (c) -17
b
Let l = -1486 + 1487. Let q = -1.2 + 1. Let w = -0.3 - q. What is the closest to l in w, 1, 0.04?
1
Let q = 707 + -707.1. Let u(f) = -f**3 + 4*f**2 + 5*f + 2. Let z be u(5). Let h(l) = 3*l**2 - 2*l - 3. Let n be h(z). What is the closest to 1 in q, n, -0.3?
q
Suppose -56*w = 114*w - 345 - 165. What is the closest to -2 in 0, w, 0.2, -19?
0
Let s = 16699 + -16692. What is the nearest to s in 0.5, -12, 0, 0.3?
0.5
Let g be (-130)/(-40)*-2 - 2/(12/3). What is the closest to 0 in -1, g, -3, 17?
-1
Let m = -83.8 - -57.8. Let z be (3 - (-56)/(-20))*-2. Which is the nearest to z? (a) 3 (b) -5 (c) m
a
Let b = -3.182 + 2.982. What is the closest to 4 in -5, -0.1, b, 1/3?
1/3
Let n = -0.061 - 32.939. Let q = 32.989 + n. Let h = q + 0.011. Which is the nearest to h? (a) 0.3 (b) -0.1 (c) -0.2
b
Let y = -0.6 + -3.4. Suppose j + 31 - 5 = 4*z, 5*j = 5*z - 55. What is the nearest to -1/2 in j, 2, 0, y?
0
Let p = 339 - 329. Which is the closest to 1? (a) 0 (b) p (c) 2/7 (d) -3
c
Let w be (-35)/(-60) - 90/72. Which is the closest to 2/3? (a) -3 (b) 2/4571 (c) w
b
Let z = 14 - 17. Let m = 4.13833 - 0.13833. What is the nearest to -1 in m, -4, z, 0.5?
0.5
Let m = -27.1 - -26.9. Let u = 85.2 + -98. Let i = u - -13. Which is the closest to 0.1? (a) m (b) i (c) 0.13
c
Let d = 253392.2 - 253392. Let x = -24 + 6. Which is the closest to x? (a) d (b) 4 (c) 2
a
Let u be 6/18*(-36)/(-60). Let q = 190 + -190. Which is the nearest to q? (a) 2/7 (b) u (c) 20
b
Let w = -411.91 + 367. Let n = w - -45. Let i = 3.91 + n. What is the closest to -2/9 in -0.2, -4/3, i?
-0.2
Let m be ((-4)/40)/(6/(-24)). Let i = 13 + -7. Suppose 10 = 4*f - i. Which is the nearest to 2/25? (a) f (b) m (c) 3
b
Let z = 360.1 + -360.13. Which is the nearest to 1.4? (a) 4 (b) z (c) 5
b
Let k = 0.246 + -0.746. Which is the nearest to k? (a) -4 (b) 0.5 (c) -5
|
{
"pile_set_name": "DM Mathematics"
}
|
-100001010000001010110001 (base 2) to base 16.
-8502b1
Convert -276c75 (base 13) to base 15.
-13dbe9
Convert -149e7a (base 15) to base 13.
-28b181
-123212122 (base 4) to base 13
-3c5c2
Convert -2521030 (base 6) to base 14.
-372c2
What is 15135605 (base 7) in base 6?
50452312
What is -100110101100000110 (base 2) in base 13?
-57190
Convert -10010100010011011 (base 2) to base 14.
-1d959
Convert 4794905 (base 10) to base 2.
10010010010101000011001
-1303111122 (base 4) to base 10
-472410
-1100331 (base 7) to base 4
-200313201
What is -ed73d (base 16) in base 8?
-3553475
What is a2a551 (base 11) in base 7?
20025316
Convert -2200010222 (base 3) to base 12.
-2652b
Convert -6a86 (base 12) to base 4.
-2322012
4341555 (base 6) to base 11
137a60
-1c5436 (base 13) to base 4
-2301023203
What is 4ac5c (base 16) in base 4?
1022301130
Convert -125244561 (base 7) to base 12.
-283b816
Convert 221a2 (base 16) to base 12.
68a02
What is 55155225 (base 6) in base 11?
a26502
Convert 158528 (base 11) to base 12.
ba117
Convert -111021220001 (base 3) to base 2.
-111111110111111111
Convert -4211763 (base 9) to base 16.
-225c00
Convert 313201322 (base 4) to base 11.
145983
Convert -1034030341 (base 5) to base 15.
-2e73b6
-125545560 (base 7) to base 6
-445304233
Convert -30ee9 (base 16) to base 14.
-53081
Convert 102234204 (base 5) to base 13.
120c87
-1020001212010 (base 3) to base 14
-12d2c4
Convert -1200120100221 (base 3) to base 2.
-11011010111110101010
Convert -250323 (base 8) to base 16.
-150d3
-103102123 (base 4) to base 2
-10011010010011011
-102414043 (base 5) to base 7
-3462514
Convert 3875985 (base 10) to base 8.
16622221
What is -a7b8c (base 14) in base 12?
-176900
What is -393140 (base 11) in base 8?
-2271110
-8bb77e (base 15) to base 5
-3201430234
What is -10666141 (base 7) in base 8?
-3455577
What is 11100011101110000101101 (base 2) in base 13?
171355b
-10a35 (base 16) to base 9
-113431
Convert 66102011 (base 7) to base 14.
a76541
What is -1001001011110110101100 (base 2) in base 12?
-981524
Convert 125125143 (base 6) to base 5.
1113444104
Convert 302013131311 (base 4) to base 11.
7463678
What is -216322 (base 8) in base 11?
-4a866
Convert 66601623 (base 7) to base 3.
101211001122220
-11001010101011000110 (base 2) to base 4
-3022223012
2132402410 (base 5) to base 12
1647937
What is -774ba (base 16) in base 4?
-1313102322
Convert 582d8a (base 14) to base 6.
144222114
What is 64287 (base 12) in base 2?
100000001010000111
-2928 (base 13) to base 7
-23226
What is -29ad6 (base 16) in base 2?
-101001101011010110
101011110000110010 (base 2) to base 12
87896
Convert -91445 (base 14) to base 7.
-2653315
-1245266 (base 9) to base 2
-10100101111011100010
Convert 11311201 (base 5) to base 15.
20bd6
Convert -30322330132 (base 4) to base 3.
-20101002022121
What is -806377 (base 9) in base 10?
-477079
What is 1200110220210 (base 3) in base 2?
11011010100010110000
Convert -94 (base 15) to base 11.
-117
Convert -1102010010110 (base 3) to base 9.
-1363113
96594 (base 11) to base 10
140463
What is -2021202220210 (base 3) in base 8?
-4506650
What is -1000100100110 (base 2) in base 4?
-1010212
3002422243 (base 5) to base 4
112201210322
-31212213 (base 4) to base 9
-84380
Convert -61954 (base 13) to base 4.
-222300301
1001110010100011001 (base 2) to base 3
121022001020
Convert 11b561 (base 13) to base 8.
1475761
Convert -26899c (base 13) to base 6.
-32000134
What is -13a85 (base 13) in base 12?
-19473
Convert -2311773 (base 8) to base 3.
-1011220001102
-2572706 (base 8) to base 7
-6051051
Convert -840a02 (base 11) to base 9.
-2474322
What is 2bac2 (base 13) in base 15?
19977
Convert -13222400 (base 5) to base 3.
-20202020101
What is 1001312302 (base 4) in base 5?
32112441
500345 (base 8) to base 10
164069
-1001110011011010 (base 2) to base 4
-21303122
-551678 (base 9) to base 8
-1203170
Convert 311331030 (base 4) to base 10.
221004
What is 10101010110010111 (base 2) in base 11?
5a778
Convert 13bd52 (base 14) to base 15.
d8351
-14333023 (base 6) to base 7
-4126341
Convert 470564 (base 11) to base 15.
eb696
What is 1944b8 (base 13) in base 5?
130403312
What is -1271200 (base 11) in base 10?
-2197723
Convert -775a4 (base 13) to base 8.
-646335
What is -10031402434 (base 5) in base 14?
-14909b0
-64506 (base 11) to base 8
-267125
7112 (base 9) to base 3
21010102
What is 3f582b (base 16) in base 11?
2385a65
-29a18 (base 13) to base 10
-78606
What is -29146 (base 13) in base 2?
-10010110101000010
725047 (base 8) to base 6
5051515
Convert -1332200101 (base 4) to base 2.
-1111110100000010001
-a03665 (base 15) to base 4
-131000301020
Convert 141444222 (base 5) to base 10.
734312
Convert -23970a (base 11) to base 4.
-1130133231
What is 35446060 (base 7) in base 6?
151130514
20712 (base 13) to base 5
3331240
Convert -43230224 (base 5) to base 4.
-1121233030
13101312112 (base 4) to base 6
104521514
Convert -20332301 (base 6) to base 9.
-1085061
-4213345 (base 6) to base 2
-110001110111100001
What is -11142 (base 8) in base 5?
-122311
|
{
"pile_set_name": "DM Mathematics"
}
|
t for q.
-1
Suppose -12 = 2*i + 4*y, -3*i + 2*y = -8*i + 10. Suppose -1593*l + i = -1592*l. Solve -5*k - 13 = l*b, -2*k - 5*b = -0*b + 12 for k.
-1
Let d(a) = a**2 + 8*a + 18. Let o = -62 + 72. Suppose -p - o = p. Let z be d(p). Solve -s - z*s = -5*h - 3, -5*h - 4*s = 27 for h.
-3
Suppose 4*k = -20 + 4. Let h be k*(-108)/16 - -5. Solve p + 3*p - 2*x + 14 = 0, -h = 4*p + 4*x for p.
-5
Suppose 27*x - 71 - 36 = 1. Solve -5*t + 5*y + x = 29, -10 = 2*t - 3*y for t.
-5
Let z(f) = -51*f + 218. Let d be z(4). Solve 3*l = -3*m - 15 - 6, 5*m - 2*l = -d for m.
-4
Suppose -5*z = -4*a + 35, -a - a - z = -7. Solve a = -n + 2*r, 37*n - 32*n + 2*r - 35 = 0 for n.
5
Let q = 383 + -704. Let p = 325 + q. Solve -2*f + 5*k = -19, p*k + k = 3*f - 21 for f.
2
Let u(n) = 0 - 9*n**2 + 3*n**2 + 15*n + n**3 + 23*n**2 - 9*n**2 + 16. Let w be u(-5). Solve c - w = -3*o - 7, 4*c = 2*o - 6 for c.
0
Let a be 7*(-6)/(-210) - 24/(-5). Suppose -2*r - 1 = -2*l - 11, a*l + 25 = 2*r. Solve 4*u + r*p - p - 7 = 0, -5*p - 15 = 0 for u.
1
Let h = 4681 + -4679. Solve 18 = 4*x - h*k, 0 = -5*x + k + 79 - 58 for x.
4
Suppose -4*t + 5*o + 747 = 0, -3*o - 9 = -0. Let r = t - 179. Solve -2*f = 2*f + 16, r*h - 3*f = 28 for h.
4
Let b = -798 - -809. Solve 7*k - b*k = -4*t + 20, -t - 3*k = 11 for t.
1
Let c = 2140 - 2140. Solve -4*l - 10 = -2*p, 3*l + 9 = 3*p - c*p for p.
1
Let y = -5344 + 5348. Solve -3*f + 17 = 4*g, -f = 3*f - y*g - 4 for f.
3
Suppose 6 = 11*n - 8*n. Suppose 4*g = -20, 70 = -5*m - 0*g + g. Let o be (-5)/2*(2 - (-48)/m). Solve -4*p - 9 = -5*y - n, 8 = -o*p + y for p.
-3
Let n = 9936 + -9931. Solve 7 = -i + 2*u + 3, 5*u - n = 0 for i.
-2
Let f(g) = -g**2 + 9*g + 11. Let o be f(9). Let x be 606/24*4/1. Let s = -97 + x. Solve 0*y = y + 5*b - o, -s*y + b = -2 for y.
1
Suppose b - z = 4, 3*b = b - 4*z - 4. Suppose -b = -122*f + 121*f. Solve 0 = 5*p - 4*h, -p - f*h = 2*p for p.
0
Let t(s) = 8*s - 79. Let n be t(-23). Let k = n + 264. Solve 0 = 4*x + y + 17, -y - k = x - 4*y for x.
-4
Let l be (-20 + 1)*17/(-119)*7. Suppose -r + 4*r + 42 = 0. Let j = r + l. Solve -4*i - 32 = -4*k, -25 = j*i - 3*k + 7 for i.
-4
Let z(c) = -3*c - 59. Let i be z(-25). Solve -16*l - 8 = -s - 11*l, 5*s + 3*l + i = 0 for s.
-2
Suppose 2*i = 3*s + 10, -6 + 26 = 4*i + 4*s. Solve 0 = 3*a - i*j + 8, -4*a - 5*j + 13 = -23 for a.
4
Let d be (112/(-70))/((-2)/5). Suppose -3*x + 34 = 4*a, d*x = -3*a + 29 + 7. Suppose 3*z - z = x. Solve 11 = -b + 2*h, 5*b - z*h + 29 = 9 for b.
-1
Let u(b) = -6*b + 97. Let r be u(-7). Let s = r - 137. Solve -3*f + j - 1 = -s*f, -j = -3 for f.
2
Let g = 1779 + -1774. Solve 0 = 2*m - i - 7, m - g = -2*m - 4*i for m.
3
Let d = 606 - 595. Suppose d*s - 8*s = 3*m + 12, -4*m - 6 = -2*s. Solve 4*y + 4*z = -24, 0 = -s*y + 3*z + z + 6 for y.
-2
Let m(g) = -g**3 + 3*g**2 + 67*g + 8. Let i be m(-7). Solve 3*q + 9 = 0, 3*v = -32*q + i*q - 24 for v.
-5
Let u(w) = -4*w + 2. Let t be u(-3). Suppose -m + t = 5*g - 1, 0 = m + 5. Solve -g*d - 4 + 5 = y, -5 = -d - 5*y for d.
0
Suppose 69*o - 177 = 30. Let g(b) = -b + 9. Let c be g(4). Solve -5*u = c*q + 25, -o*q + u + 4*u + 1 = 0 for q.
-3
Suppose 0 = 2*z - 33*z + 93. Let j(w) = -w**2 - 19*w + 42. Let t be j(-21). Solve -z*r + 2*p - 16 = t, 0*r - 4*p + 12 = -r for r.
-4
Let g(d) = -64*d - 253. Suppose 5*n - 11*a = -12*a - 15, 5*n + 4*a = 0. Let p be g(n). Solve y - 3*i + 4 = 0, p*i - 6 = -3*y - 18 for y.
-4
Let f = 3051 + -3046. Solve 3*r - 8 = 3*s - f, -5*r - 4*s + 14 = 0 for r.
2
Let c(l) = l**3 + 23*l**2 + 39*l - 61. Let u be c(-21). Suppose 3 - u = -b, -4*b - 1 = v. Solve k + 3*i - 7 = 6*i, 0 = -v*k - 5*i - 7 for k.
1
Let s(f) = -2*f**3 + 10*f**2 - 8*f + 6. Let p be s(4). Solve 2 = 4*r - 3*l - 19, 0 = -p*l - 18 for r.
3
Suppose 18*l - 626 = 14*l - 2*t, 621 = 4*l + 3*t. Let z = l - 146. Solve -z = 4*a + y, 0*a = -2*a - 2*y - 14 for a.
-2
Suppose 102 = -r + 243
|
{
"pile_set_name": "DM Mathematics"
}
|
158887?
False
Which is smaller: -45479 or -45481?
-45481
Which is smaller: -2/48951 or -1/4?
-1/4
Is 322/41 at least as big as 2/19?
True
Which is bigger: -25857 or -51713/2?
-51713/2
Which is greater: 22057 or 352933/16?
352933/16
Is -2873 > -2901?
True
Do -615700 and -615700 have the same value?
True
Which is smaller: -7533864 or -0.1?
-7533864
Which is smaller: -133085 or -133079?
-133085
Is 361761 less than 361761?
False
Which is smaller: -1.94 or -1485?
-1485
Which is smaller: -1/841 or -106?
-106
Is 8/1711 at most as big as -1/3?
False
Are 192 and 15900/83 non-equal?
True
Which is smaller: 26/108525 or 1?
26/108525
Is -340 bigger than 186?
False
Is 929455 at least as big as 929456?
False
Is -1134800 equal to -1134801?
False
Is 1107 greater than or equal to -84?
True
Is -14153 at most -14153?
True
Which is greater: 0.032 or 719?
719
Is -322 > -40434/125?
True
Is -6/71899 greater than or equal to -1?
True
Which is smaller: 384 or 430?
384
Are 1452 and -2.688 equal?
False
Which is smaller: -1332/2639 or -1?
-1
Which is smaller: 5/3 or -188283/4?
-188283/4
Is 77 less than 74?
False
Which is smaller: -9952 or -9962?
-9962
Is 90604 >= 90604?
True
Is 365/23 less than or equal to -0.1?
False
Which is smaller: -28406 or -28405?
-28406
Which is smaller: 0.1 or -19?
-19
Is -8978 smaller than -8982?
False
Is 0 at most -6/2795713?
False
Which is smaller: 4579 or 4586?
4579
Are -215 and -334 equal?
False
Is -1911 < 80?
True
Which is smaller: 29561 or -8?
-8
Is 63355/2 at most as big as 31677?
False
Are -8/477245 and 0 equal?
False
Are -0.3 and 150/203 unequal?
True
Which is greater: 1951 or 1962?
1962
Are 3965/44 and 89 nonequal?
True
Is 0 at least -728028?
True
Which is bigger: -5109 or 3?
3
Which is bigger: -2/39 or -305/4?
-2/39
Which is smaller: 26295 or 26292?
26292
Is -404 <= -90?
True
Which is bigger: -22 or 15179.5?
15179.5
Is 0 < -8/353407?
False
Which is bigger: -309 or 1/9863?
1/9863
Is 3724 <= 2348?
False
Which is bigger: 7986 or 7912?
7986
Is 2 not equal to 563/27?
True
Is 2 greater than 8078.25?
False
Which is bigger: -13 or -3156?
-13
Is -4789 != 7?
True
Do 1/185640 and -1 have the same value?
False
Which is smaller: -7/13140 or 0?
-7/13140
Which is bigger: -1163 or -1135?
-1135
Is -1 less than 1/1181898?
True
Are -105274 and -736922/7 equal?
False
Is -73604 smaller than -73605?
False
Do -3079693 and -3079692 have the same value?
False
Which is greater: 12808/5 or 2563?
2563
Is 31 bigger than 123/74?
True
Is 3553/73 equal to 49?
False
Is 1 greater than or equal to 150/11383?
True
Is 20/10471 equal to -1?
False
Which is bigger: 2 or 21/17?
2
Which is smaller: 6/5977 or 0?
0
Which is greater: -60537/2 or 2/29?
2/29
Is 2 smaller than 1756/691?
True
Which is greater: 2 or 2149?
2149
Is 1 less than -228758?
False
Is -39 at least -11225/282?
True
Is -1789609 <= -1?
True
Is 625229 at most 625229?
True
Which is bigger: -45738 or -45739?
-45738
Which is smaller: 47108/23 or 2047?
2047
Is 49686 less than or equal to 49687?
True
Which is bigger: -736278 or -736276?
-736276
Are -232 and -11/23 unequal?
True
Which is greater: -1544 or -20088/13?
-1544
Which is bigger: -12320 or -12321?
-12320
Is 2/3091829 < 1?
True
Are -1939 and -108529/56 unequal?
True
Is 2732 > 445?
True
Which is smaller: 494/6189 or 1?
494/6189
Are 1117 and 1133 unequal?
True
Which is smaller: -993 or -1676?
-1676
Is -589285/4 greater than -147321?
False
Which is smaller: 1 or 125/12791?
125/12791
Is 2 <= 8582?
True
Is 0 smaller than 54173?
True
Which is smaller: 528 or 1180?
528
Does -46 = 133.9?
False
Which is greater: 3141 or -32?
3141
Which is smaller: -761380/11 or -69215?
-761380/11
Which is bigger: -73 or -0.96?
-0.96
Which is greater: 2 or 486/229?
486/229
Which is smaller: 340127 or -1/7?
-1/7
Which is bigger: -5/1381764 or 0?
0
Which is bigger: 2/1043825 or -1?
2/1043825
Which is bigger: -0.09 or -4554?
-0.09
Which is smaller: -18444737 or -18444736?
-18444737
Are 0.6 and -8479 equal?
False
Is -6/13 at most as big as -1619?
False
Which is bigger: -0.0571 or -0.128?
-0.0571
Which is smaller: -4 or -719/261?
-4
Which is bigger: 1 or -14/7969?
1
Which is greater: -0.98 or 227/6?
227/6
Is 24808 greater than or equal to 24800?
True
Which is greater: -847 or -43208/51?
-847
Is 0 not equal to 3/707789?
True
Is 2/23 > 525?
False
Which is smaller: 0 or -1/85747?
-1/85747
Is -3050 > -3046?
False
Do 1 and -169/1022 have different values?
True
Which is smaller: -0.04 or -14253?
-14253
Are -4876 and -4876 non-equal?
False
Are 2/73 and -74 unequal?
True
Is 1.6 < 291?
True
Which is smaller: 28971 or 6?
6
Which is bigger: -3/266474 or 0?
0
Which is smaller: -70 or -1888/27?
-70
Is 8878 less than 8859?
False
Which is greater: 2 or 1.249945?
2
Which is greater: -897 or -4481/5?
-4481/5
Is -1 > -1960044?
True
Which is smaller: 41669/88 or 474?
41669/88
Which is bigger: 455191 or 455193?
455193
Which is greater: 1 or 1/153759?
1
Is -133/12 less than 0.24?
True
Is 919 <= 1254?
True
Do 12290 and 12136 have the same value?
False
Is -84
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v - 1. Let y be u(p). Suppose -4*d + 98 = 2*w, -3*d = -3*w - 2*w - y. Does 15 divide d?
False
Let p(j) = 7*j**2 - j + 2. Let x be p(1). Let r be (-1)/(x/(-1950)) - (-3)/12. Let w = 420 - r. Does 22 divide w?
True
Suppose -2730*q - 70268 = -2732*q - 4*b, -5*q - 3*b + 175628 = 0. Is q a multiple of 17?
True
Let p be (37/(-7) - -1)/((-3)/21). Let f = 33 - p. Suppose -9 = f*a, -4*c + a + 115 = -2*c. Is 8 a factor of c?
True
Is (364 - -3) + (5/(-1) - 2) a multiple of 6?
True
Suppose -2*w + 5*w - s - 12 = 0, 2*w - 7 = s. Suppose 0 = -a + w*a. Suppose a = 4*i, 75 + 58 = f - 5*i. Is 19 a factor of f?
True
Let j(u) = 10. Let c(l) = -14 - 2*l - 15 + 8*l**2 - 7*l**2 + 3*l. Let w(r) = 2*c(r) + 7*j(r). Is w(-4) a multiple of 21?
False
Let y(w) = 2*w**3 - 4*w**2 + 5*w - 4. Let t be y(2). Suppose 15*f = -t*f + 1386. Is 3 a factor of f?
True
Suppose 65*k + 84*k - 6600600 = -51*k. Does 25 divide k?
False
Let w = -152 - -152. Suppose 12*n - 971 - 1537 = w. Is n a multiple of 66?
False
Suppose -3*o = -3*q - 4341, -3*o - 2*q + 4306 = -0*o. Does 45 divide o?
True
Let w = -42 + 18. Let x = -19 - w. Suppose -x*i + 93 = -2. Is 2 a factor of i?
False
Let u(d) = -5*d**3 + 3*d**2 - 4*d. Let j(b) = -b**3 - b. Let r(o) = -6*j(o) + u(o). Suppose 2*m = -5*k - 3 + 28, 0 = -3*k - 3*m + 24. Does 19 divide r(k)?
False
Let f = -247 + 3303. Does 33 divide f?
False
Suppose 310*z - 4841916 = 26*z. Is z a multiple of 275?
False
Suppose 3*i + 5*l = 25 + 134, -237 = -5*i + l. Does 3 divide 4*(-606)/i*-2?
False
Let p be 649 + 21 + 8 + -1. Let s = -216 + p. Is s a multiple of 29?
False
Is 10 a factor of 18/(-21)*-7*(-21650)/(-30)?
True
Suppose 0 = -15*v + b + 41160, -2*v - 46*b + 50*b + 5488 = 0. Is 49 a factor of v?
True
Let h(z) = 389*z - 318. Is 144 a factor of h(10)?
False
Let o be 2/24 + (-1591)/516. Does 8 divide 99/12 - o/(-12)?
True
Suppose 3*n = 10*n - 49. Suppose -n*u + 5*u + 3*l + 155 = 0, -5*u + 393 = -2*l. Is 14 a factor of u?
False
Let j(q) be the first derivative of -q**4 + 5*q**3/3 + 4*q**2 + 4*q + 3. Let z be 7/(-3) - 26/39. Is 31 a factor of j(z)?
False
Let a = 130668 + -69553. Is 17 a factor of a?
True
Let w be (-1 + -3)/((-24)/408). Let x = 191 + w. Is x a multiple of 3?
False
Suppose 5*i - 3*i + 2*z = 80, -5*i = -z - 176. Suppose k = -3*k - i. Is 29 a factor of (-31025)/(-153) + (-2)/k?
True
Is (-1)/((-3)/(-2)) + (-180404)/(-1137) a multiple of 3?
False
Let i(u) = -2*u**3 + 79*u**2 - 84*u - 164. Does 106 divide i(32)?
True
Let j = -2174 - -4603. Suppose 261 = -4*o + 4*v + 2693, 0 = 4*o - v - j. Is 71 a factor of o?
False
Suppose -4*t - y + 37 = 0, -2*y + 1 = 2*t - 5*y. Suppose -7*n = -t*n. Suppose -5*s + 2*b + 3*b + 240 = n, 0 = 5*s - 3*b - 246. Is s a multiple of 18?
False
Suppose 772*x - 750*x = 113410. Is x a multiple of 64?
False
Suppose 1 = 3*i - 5. Suppose -2*w + w = 4*l - 59, l + i = 0. Suppose 0 = 62*b - w*b + 1140. Is 19 a factor of b?
True
Suppose -43 = 2*f - 5*f + 5*d, -3*d - 27 = -2*f. Suppose 197 - 2555 = -f*v. Does 17 divide v?
False
Suppose -288834 = -106*x + 37*x. Does 7 divide x?
True
Let w(z) = 338*z + 152. Let b be w(-8). Is 44 a factor of (b/203)/(2/(-7))?
True
Suppose 13 = -2*d - 1. Let x(k) = 4*k**3 + 12*k**2 + 17*k. Let b(u) = -9*u**3 - 24*u**2 - 35*u - 1. Let z(o) = 3*b(o) + 7*x(o). Is 16 a factor of z(d)?
True
Suppose 3 = g + 1, i + g - 39 = 0. Suppose -2*b = -11 - i. Is b a multiple of 24?
True
Suppose -4*w + 17 + 15 = -2*r, -r = -5*w + 46. Let x(o) = 23*o - 176. Let n be x(8). Suppose -n*j - 140 = -w*j. Is 35 a factor of j?
True
Let a be (4/14)/(-1 + (-8)/(-7)). Suppose -a*w + 40 = 6*w. Suppose 0 = -w*t - 3*k + 149, -2*t + 69 = t - 5*k. Is 28 a factor of t?
True
Let f(l) = -417*l**3 - l**2 - 10*l - 15. Is 6 a factor of f(-2)?
False
Suppose 4*n = 5*r + 12, -12 = -5*n + 3. Suppose -2*l + 3*w + 137 = r, 5*l = 5*w - w + 332. Suppose 3*k - f - 86 = f, -2*k = 2*f - l. Is 14 a factor of k?
False
Let m be (1 + -1 - -2)/(18/45). Suppose 178 = m*k - y, 0 = 5*k + y - 4*y - 184. Is 3 a factor of k?
False
Let h(u) = -2*u**2 - 4*u - 4. Let y be h(-3). Let i be (5*41)/(11 + y). Suppose 4*z = 2*j + 121 + i, 4*z - 3*j = 321. Is 14 a factor of z?
True
Let g = -1192 - -644. Let q = -439 - g. Does 8 divide q?
False
Let d(c) = 15*c + 22*c + 5 - 44*c + 10*c**2 + 3*c**3. Is 18 a factor of d(8)?
False
Let s = 5206 + 3326. Is s a multiple of 71?
False
Let c(l) = -77 + 287 + 28*l - 118. Is 12 a factor of c(30)?
False
Let k = -30
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l - 1. Suppose 20 + 4 = -l*i. Let y be m(i). Solve y = 3*c + r + 5 + 2, 4*c = 2*r - 6 for c.
-2
Let d(n) = n**3 + 7*n**2 + 5. Let a be d(-7). Suppose 0*y + 33 = 3*y - 3*f, -2*y + 5*f = -25. Let o = y - a. Solve -o*r + 3*s - 9 = -3*r, 4*r + 8 = -4*s for r.
-3
Let x = 12 - 8. Let s = -16 - -26. Let j = s - 4. Solve -3*h + 2*u = -2, -3*h = -j*h + x*u - 2 for h.
2
Let k = 7 - 5. Suppose 4*r + 5*q = 24, -3*q + k*q - 24 = -4*r. Suppose f = r*f. Solve 2*y = -f*n + n - 7, -4*y - 5*n + 7 = 0 for y.
-2
Let z be 2 + (0 - 4 - -7) + -3. Solve -3*c + y - 1 = 0, 0 = 2*c + z*y - 1 - 1 for c.
0
Let h(m) = m**3 - 4*m**2 + 4. Let x be h(4). Suppose f - x*a = 10, 3*f - 2*a = 9 + 1. Suppose y = -f*y. Solve 6*i - i + 40 = 5*d, 4*d - i - 17 = y for d.
3
Let n = 16 + -13. Solve n*q = 2*c + 1 - 7, 4*c = -q - 16 for q.
-4
Let u be (18/(-42))/((-1)/7). Solve 3*y = u*f, 2*y + 3 = f + 1 for f.
-2
Let p = 97 - 88. Solve 0 = 3*t - p - 6, 2*j - 5*t = -29 for j.
-2
Suppose -4*t + 24 = -0*a - a, -3*t + 31 = -4*a. Suppose 5*n + 5*h = 10 + t, 3*n - 5*h - 25 = 0. Suppose -n*j = -j - 12. Solve -y = 4*f + 9, -j*f = 2 + 4 for y.
-1
Let i(v) = v - 7. Let a(d) = -d**2 - 6*d + 10. Let o be a(-7). Let n be (-3)/o*-3*3. Let t be i(n). Solve -8 = -2*h + 2*w, t*w - 8 = -3*h + 9 for h.
5
Suppose i = -4 + 2. Let q = 2 + i. Let b = -12 + 15. Solve q = 2*r - 3*o + 5, -b*r + 20 = -0*r + o for r.
5
Let n be (-4)/(-6) + 52/12. Suppose -10 = -n*o - 0*o. Let i be 4/o + -2 + 4. Solve -5*q = i*j + 5, 0 = -0*q + 2*q + j + 2 for q.
-1
Suppose 4*i + d = 26, 9 = i + 4*d - 5. Let l be (-12)/(-4) + -4 + i. Solve -f + 4 = -10*m + l*m, -7 = 4*m + 3*f for m.
-1
Suppose 0 = -69*y + 71*y - 16. Solve 2*b - 4*j - 6 = 0, -3*b + y = -2*b + 3*j for b.
5
Let g be 3/2*16/12. Suppose s + 3*j - g = 4, -2*j - 21 = -s. Let v be s/10 - 13/(-2). Solve 4*f - 3*n = -v, 4*f + 7*n = 4*n - 8 for f.
-2
Let w be (2/6)/(5/75). Solve 7 = 3*t + w*o, 2*o + 4 = t - 2 for t.
4
Let l be ((-6)/9)/(2/(-6)). Suppose h = -2*t + 12, 2*t - 6*h = -l*h + 12. Solve 4*v + 5*z = -t, -3*v + z = -z - 7 for v.
1
Let k be 32/40*(-10)/4. Let w(b) = -b**3 - b**2 - b - 2. Let q be w(k). Solve -4*y + 20 = 0, 0 = q*x + 5*y - 0*y - 13 for x.
-3
Let j be (-2)/(-6)*(-2 + 11). Suppose 0 = 5*f - 18 + j. Suppose 2 - 18 = -2*q. Solve -2*z - v - q = -f*z, z = -2*v - 4 for z.
4
Suppose -4*x + 20 + 2 = 5*u, -5*u + 25 = 5*x. Solve q - 5*g + 6 = 0, 4*q + g - u*g = -5 for q.
-1
Let a = -16 + 19. Suppose -m = -a*m + 4. Solve -4*n = -m*i + 18, 0*n - n + 3*i = 17 for n.
-2
Suppose -5 - 1 = -3*q. Solve -16 = -q*z + 2*b, 2*z + 5*b + 4 = 2*b for z.
4
Let s(k) = 3*k**2 + 1. Let v be s(-1). Suppose -2 = c - v. Let q(h) = h + 6. Let m be q(-3). Solve -c*o = -j + 3, -3*o + j - m = -0*o for o.
0
Suppose -5*j = -3*j - 4. Solve 4*k = -5*q, -j*k + 3*q = -6*k for k.
0
Let o be (-26)/(-10) - (-6)/15. Let r = 6 - o. Suppose -y - r*y = 5*i - 32, 4*y + 4 = 4*i. Solve i*n + 3*j - 27 = -n, -4*n + 5*j - 8 = 0 for n.
3
Suppose o + 7 = 3. Let r(z) = z**3 + 5*z**2 + 3*z + 6. Let k be r(o). Let d = k - 6. Solve -4*h + 2*l = 14, 0 = 4*l - 16 + d for h.
-2
Let t = 14 + -12. Suppose t*o = -5*z - 7, -3*z = -3*o - z + 18. Solve -4*y - 6 = r, -y - o*r + 2*r = -2 for y.
-2
Let v(m) = -3 + 2*m + 3 - 3*m. Let w be v(-7). Solve p - 3*r + 10 = 0, -3*p = -w*p - 2*r + 16 for p.
2
Let l be (1 + -6)*1/(-1). Let d = 318 + -314. Solve n + 2*f + 0 = l, -d*f = -n - 1 for n.
3
Suppose 0 = 5*m - 15. Solve 3*o - m = -3*l, l - 3*o = 3 + 10 for l.
4
Let t = -26 - -26. Solve 4*g - 2*v = 0, t*v - 3*v = -12 for g.
2
Let j be (-3)/(-3) + 6/3. Solve j = 2*s - 3*a - 7, -3*s - a + 4 = 0 for s.
2
Let z be 1 - 1 - 0*(-1)/(-1). Solve 2*m + 0*b - 4*b + 20 = z, 0 = 2*b - 10 for m.
0
Suppose 4*k - 5*o = 13, 11 = 2*k - 4*o + 3. Let m be 25/2 - (-2)/4. Suppose x + 0*x + m = 3*f, -2*f - x = -k. Solve -2*t - 1 - 5 = w, 0 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
8 + 0 + (23 - 32). Sort -2, g, -5, -26.
-26, -5, -2, g
Suppose 344*b - 277*b = 1072. Put 4, b, -7, -4, 2 in descending order.
b, 4, 2, -4, -7
Suppose -12 = -3*m - 2*j, 5*m - 12 = -41*j + 39*j. Let z be 6/24*76/(-5). Put z, m, -2/17 in descending order.
m, -2/17, z
Let u = 3 - 6.4. Let y = u - -0.4. Let t = 23 + -19. Sort y, t, 0, 3 in decreasing order.
t, 3, 0, y
Suppose 2*k = 8*k - 30. Let q(d) = -4*d + 19. Let r be q(10). Let h be (14/(-8) + 1)/(r/16). Sort 0.1, k, 2, h.
0.1, h, 2, k
Let h be (-65)/(-5)*(-768)/832. Let k = 1 + -2. Sort h, 2, 5, k in descending order.
5, 2, k, h
Let c = -34 + 33.98. Let z = 0.32 + c. Let s = z + -0.6. Put -4, s, -3, -1/4 in decreasing order.
-1/4, s, -3, -4
Let v = -10454 - -10498. Sort v, -2, 66 in descending order.
66, v, -2
Suppose -9*i - 291 = 1023. Let b = i - -153. Sort 3, -1, 5, b.
-1, 3, 5, b
Let o be (2 + 11/(-3))/(1/12). Suppose 3*l + 60 = -3*w - 12, 2*w - 106 = 5*l. Let q = l - o. Put q, 2, 6 in descending order.
6, 2, q
Let x = 2 + -6. Let m = 1.03301 + -0.63301. Sort x, -4/9, m, 0.1 in decreasing order.
m, 0.1, -4/9, x
Suppose -10*p + 10 = -30. Let k = -181 + 178. Let u = 8 + -13. Sort k, p, u in ascending order.
u, k, p
Let l = 9965 - 9969. Sort -2, 5/4, 4/15, 1/3, l in increasing order.
l, -2, 4/15, 1/3, 5/4
Let b = -0.2 - -4.2. Suppose 0*i + 7*y = i + 14, -i = 5*y - 10. Sort -1/4, i, -0.3, b.
-0.3, -1/4, i, b
Suppose 3*c + 18 = 4*h, -18 = h - 3*h - 3*c. Suppose h*k = 10*k - 4. Sort 4, k, 6.
k, 4, 6
Let j be (8/(-32))/(5*4/80). Let g be -2*j/(-2 + 9). Sort -0.8, g, 3/5 in decreasing order.
3/5, g, -0.8
Let l = 0.64 + -7.54. Let a = -7 - l. Sort 2/3, 5, a.
a, 2/3, 5
Let r be -40 - (-3 + (0*(-4 - -5) - -5)). Sort 0.2, 29, r.
r, 0.2, 29
Suppose -5*s - i + 30 = -6*i, -6 = 2*i. Let u be 72 - (-1*36)/(-6). Suppose -5*v = -5*l + 90, -2*v + 6*v = -2*l - u. Put s, -2, v in ascending order.
v, -2, s
Suppose -39 - 14 = -16*d + 11. Suppose -k = 3*k - 12. Suppose k*p - 7*p - 11 = s, -p = -s + d. Put s, 5, -1, 4 in increasing order.
-1, s, 4, 5
Let v = 41 + 234. Let x = -273 + v. Sort -2, x, 1, 0.
-2, 0, 1, x
Let p(d) = 91 - 36 + 16*d - 5*d + 6*d. Let j be p(-3). Let f = 1 - 1. Sort f, -2, 3, j.
-2, f, 3, j
Suppose -5*g = -1 - 14. Suppose -202 + 70 = g*j. Put -4, j, 0.3, 5 in descending order.
5, 0.3, -4, j
Let i(l) = -2*l - 1. Let v be i(-1). Let q(c) = 2*c**3 + 8*c**2 + 224*c + 906. Let x be q(-4). Sort 2, v, x, 5 in ascending order.
v, 2, 5, x
Suppose 179*z = -496 - 41. Put 8, z, 62 in increasing order.
z, 8, 62
Let j = -0.1 + 0.2. Let z = -242.536 + 1.036. Let t = 241 + z. Sort t, j, 2 in decreasing order.
2, j, t
Let g = -652 - -265. Let m = g + 384. Put 0, m, 4/3, 0.4 in increasing order.
m, 0, 0.4, 4/3
Let a = 3130 + -3132. Sort 5, -5, a, -8, -1 in descending order.
5, -1, a, -5, -8
Let w(t) = t**2 - 39*t - 2591. Let l be w(-35). Put -4, 0, -10, l, -5 in ascending order.
-10, -5, -4, l, 0
Let y = -17958 - -17954. Put -3, -3/2, 4, y, 4.6 in decreasing order.
4.6, 4, -3/2, -3, y
Let h be 224/116 - (-9)/(3393/26). Sort -3, 4, h, 5, 6.
-3, h, 4, 5, 6
Let q(d) = 3*d**3 + 3*d**2 - 4*d + 4. Let x be 18/(-12)*4/(-3). Let y be q(x). Suppose 7*j = -3*j - 40. Sort y, j, -3 in decreasing order.
y, -3, j
Suppose 3*r + 15 = 2*i, -6*i + 4*i + 4*r + 12 = 0. Suppose 5*p + 10 = 2*q, 5 = -11*q + i*q + 2*p. Sort -4, q, -29, -5 in ascending order.
-29, -5, -4, q
Suppose 154*t - 132 + 692 = -210. Sort t, 36, 10, 3.
t, 3, 10, 36
Let t(q) = 10*q**2 + 32879*q - 32880. Let h be t(1). Let i(s) = s**3 - s - 16. Let y be i(0). Sort y, h, 0 in increasing order.
y, 0, h
Let i be (-22)/4 - (-12)/8. Let q(v) = 14*v - 62. Let j be q(5). Sort 0, j, 2, i in descending order.
j, 2, 0, i
Suppose -274*a + 115*a - 222*a = -1143. Let v = 6 + 0. Sort v, a, -4 in descending order.
v, a, -4
Suppose 0 = 2*n - 45*n + 30014. Let j = n + -696. Sort j, -8, -4, -3.
-8, -4, -3, j
Let o(t) = 26*t + 65. Let n be o(8). Let x = n - 271. Sort x, 1, -6.
-6, 1, x
Let i(l) = l**3 - 6*l**2 - 6*l - 13. Let s be i(7). Let u be 8*((-19)/s - 3). Let t = 304 - 304. Sort t, 4, u, -1 in descending order.
4, u, t, -1
Suppose -9 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f?
-12064542*c**3
What is the first derivative of -536029*q - 288622 wrt q?
-536029
Find the third derivative of -113632*m**6 - 114088*m**2 wrt m.
-13635840*m**3
Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n.
15*n**2 + 2*n - 1439
Find the third derivative of -45*g**3*q**2*v - 3*g**3*q**2 - 5*g**3*q*v + 266*g**2*v - 106*g*q**2*v wrt g.
-270*q**2*v - 18*q**2 - 30*q*v
What is the first derivative of 20*b*g*u - 4*b*g - 2*b*u - 5*b + 4*g*u + 2*g - 13*u + 24 wrt u?
20*b*g - 2*b + 4*g - 13
Find the first derivative of 252*f*u**2*v + 2*f*v - 62*f - u**2 + 2*u*v - 68 wrt v.
252*f*u**2 + 2*f + 2*u
What is the second derivative of 36*t**4 + 392*t**3 + 29097*t wrt t?
432*t**2 + 2352*t
Find the third derivative of 2*a*u**4 - a*u**3 - a*u**2 - 6*a*u - 5282*a + 1563*u**4 - 5*u**3 - u**2 wrt u.
48*a*u - 6*a + 37512*u - 30
Find the third derivative of 46038*l**3 - 5489*l**2 - 2*l - 4.
276228
What is the derivative of 361055*w - 194781?
361055
Differentiate -2*q*s**3 + 239*q - 16124*s**3 + 17 wrt s.
-6*q*s**2 - 48372*s**2
What is the first derivative of -3*o*z**2 + o*z - o + 2924*z**2 + 11*z - 1367350 wrt z?
-6*o*z + o + 5848*z + 11
Find the first derivative of 14118*j**2*o**3 - o**3 + 174*o - 7 wrt j.
28236*j*o**3
What is the derivative of -2*b**3*k*y - 52760*b**3*k + 14739*b**2*k*y wrt y?
-2*b**3*k + 14739*b**2*k
What is the derivative of -2*o**4 - 2*o**3 - 586*o - 17312?
-8*o**3 - 6*o**2 - 586
What is the third derivative of -33265*i**6 - 31*i**5 - 9*i**2 + 14471*i wrt i?
-3991800*i**3 - 1860*i**2
Find the second derivative of -13*k**2*p**3 - 2*k**2*p**2 - 84*k**2*p*z**3 - k*p**3*z**3 - 60*k*p**3*z + 3*k*p**2*z**3 - 3*k*p*z**2 + 11*p**3*z**2 wrt k.
-26*p**3 - 4*p**2 - 168*p*z**3
Find the second derivative of -210203*o**2*r**2 + 4*o**2*r*t + o*r**2*t - 2*r**3*t + 40204*r*t wrt r.
-420406*o**2 + 2*o*t - 12*r*t
What is the third derivative of 55125*q**3 + 7*q**2 - 566*q wrt q?
330750
Find the second derivative of -6631*f*h**4*s - 2*f*h*r + f*h*s + 2*f*r*s + f*s - 20*h**3*r*s + 86*h*s wrt h.
-79572*f*h**2*s - 120*h*r*s
What is the second derivative of -10*c**2*o**3*s**2 - 333*c**2 + c*o**3*s**2 + 4*c*o**3*s + 52*c*o**2*s**2 - c*o - s wrt c?
-20*o**3*s**2 - 666
What is the second derivative of 5*a**3 + 11014*a**2 + 264*a - 1471 wrt a?
30*a + 22028
What is the second derivative of 5*w**3 + 89647*w**2 - 3901*w + 12?
30*w + 179294
What is the third derivative of -1037*b*l**3 + b*l**2 - 40*b + 15*l**5 - 18 wrt l?
-6222*b + 900*l**2
Find the first derivative of 124942*s*u**3 - 198655*u**3 wrt s.
124942*u**3
Find the first derivative of 1188*a*j*y**3 + 2*a*j + a - 52*j*y**3 - y**3 + 4918*y**2 - 2 wrt j.
1188*a*y**3 + 2*a - 52*y**3
Find the third derivative of -359960*b**6 + 67*b**2 + 510*b.
-43195200*b**3
What is the third derivative of 13541*x**3 - 248*x**2 + 20*x + 1?
81246
What is the third derivative of -239*b*m**3*y**3 - b*m**2 + b*y**2 - 41*m**3*y**3 - 1226*m**2*y**3 wrt m?
-1434*b*y**3 - 246*y**3
Differentiate 35*c**4 + 2*c**3 + 662*c**2 - 2*c + 210446 wrt c.
140*c**3 + 6*c**2 + 1324*c - 2
Differentiate 21965*g*p**2*q + 44*g*p**2 - g*p*q - 2*p*q + 357 wrt q.
21965*g*p**2 - g*p - 2*p
What is the second derivative of -506*f**3 + 126*f**2 + 555237*f?
-3036*f + 252
What is the second derivative of 2*d**2*v**2 + d**2*v + d**2 + 42*d*r*v**2 + 65*d*r*v - 55*r*v**2 - r*v - 5*v**2 wrt v?
4*d**2 + 84*d*r - 110*r - 10
Find the second derivative of 23548*c**5 + 4*c**2 - 1162041*c wrt c.
470960*c**3 + 8
What is the derivative of -2*m**4 + 694240*m + 593895?
-8*m**3 + 694240
What is the first derivative of 2075*x**3 - x + 103747?
6225*x**2 - 1
Find the second derivative of 57*d*m**4 + 44*d*m**3 + 362235*d*m - 2*m**2 wrt m.
684*d*m**2 + 264*d*m - 4
What is the derivative of 3*i*l*t + 80313*i*l - 1138*i*t + 2*l*t - 5*t wrt t?
3*i*l - 1138*i + 2*l - 5
Find the third derivative of -520425*b**3*s**4 + 36*b**3 + 880*s**2 wrt s.
-12490200*b**3*s
Find the third derivative of g**4 - 69298*g**3 + 23968*g**2 - 2 wrt g.
24*g - 415788
What is the second derivative of -18*a**4 + 2*a**3 - 5625*
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 and give t.
0
Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m.
8
Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a.
711
Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a + o and give o.
-35
Express 462*h - 1136*h - 1556*h in the form n*h + f and give n.
-2230
Rearrange -118769*o**2 - 4*o - 2 - o**3 + 6 + 118773*o**2 to the form j*o**2 + f*o**3 + p + n*o and give j.
4
Rearrange 18660*y + 201666654 - 201666654 to the form h*y + j and give h.
18660
Express 584*f - 249*f + 140*f + 353*f in the form h*f + o and give h.
828
Rearrange -9*t**3 - 1173656*t**4 + 2*t + 488*t**2 + 11*t**3 + 1173653*t**4 to the form m + l*t + q*t**4 + g*t**2 + k*t**3 and give g.
488
Express 227*i - 71*i - 64*i - 79*i - 12 as k + z*i and give z.
13
Express 401*g**4 + 5653*g**3 + 2*g**2 - 409*g**4 - 5651*g**3 + 1 + 4*g in the form a*g + x + s*g**2 + m*g**4 + i*g**3 and give s.
2
Rearrange (4*z - z - z)*(101 + 38*z + 51*z - 102 + 17*z**2) to i*z**2 + o*z + y + r*z**3 and give r.
34
Express 10*j + 36 - 2*j + 13*j as y*j + m and give y.
21
Express (-g + g + g)*(1554*g + 944*g + 2935*g + 2972*g - 867*g) as i*g + n*g**2 + x and give n.
7538
Express 221 + 35058*v - 35060*v - 3*v**2 - 27 in the form l*v**2 + p + b*v and give l.
-3
Express (d**2 - d**2 + 2*d**2)*(107 - 101 + 10*d - 26*d)*(-1 - 2 + 1)*(9 + 22 + 13) as j + b*d**2 + i*d**3 + v*d and give i.
2816
Rearrange -154*n**3 - 38*n**3 + 41*n**3 + 1 - 105*n**3 - 2 to b*n + i*n**3 + x*n**2 + o and give o.
-1
Rearrange 3612*z - 1611*z + 5302*z - 1568*z to the form f + c*z and give c.
5735
Rearrange 608*n**2 - 2969895*n + 2969895*n to the form a + f*n + i*n**2 and give i.
608
Rearrange -12 + 523*z**2 - 10*z + 9*z - 507*z**2 to n*z**2 + j*z + p and give j.
-1
Express f**3 + 2*f**4 - f**3 + (-114*f + 117*f - 3*f + 12055*f**2)*(-5*f**2 + 4*f**2 + 4*f**2) in the form v*f**4 + l + x*f + w*f**3 + o*f**2 and give l.
0
Rearrange -8*x**2 + 3*x**2 + 4*x**2 + 269 + 1525*x - 2*x**3 - 766*x - 758*x to p + y*x + f*x**2 + l*x**3 and give y.
1
Rearrange -4108 + 4108 + 15189*n to f + z*n and give z.
15189
Express (-4 + 2 + 4)*(-3*t**3 - 2*t**3 + 6*t**3) - 9 - 433419*t**3 + 9 + 429474*t**3 + 0 in the form r*t**2 + a*t**3 + b + s*t and give a.
-3943
Rearrange 4*r**2 - 122 - 25 + 148 - 3*r to the form g*r**2 + f + s*r and give s.
-3
Rearrange 52*z + 2 + 10*z + z**2 + 9*z + 71*z - 18*z to the form s + l*z + c*z**2 and give s.
2
Express 12 + 4956*x - 5 - 6 + 1261*x in the form g + r*x and give g.
1
Express -56*y**3 + 42*y**3 - y - 75*y**4 + 152*y**4 - 74*y**4 + 0*y**2 - 2*y**2 in the form d*y + r*y**4 + z*y**2 + t + w*y**3 and give w.
-14
Express 980*n + 33 + 41 + 42 - 116 in the form i + b*n and give b.
980
Rearrange (11*v + 6*v - 4*v)*(18*v + 13*v + 4*v) to the form g*v**2 + t*v + i and give g.
455
Express 6141 + 212*x**2 - 429*x**2 - 6152 in the form t + w*x**2 + z*x and give t.
-11
Rearrange (-3*u**3 + 2*u**3 + 0*u**3)*(55*u - 234*u + 124*u - 31286 + 54*u) to the form y*u**3 + p*u**2 + v*u**4 + m + d*u and give v.
1
Rearrange -2*o**4 + o - o**2 + 301 + 0*o**4 + 161 + o**4 + 56 to the form d*o**2 + g*o**3 + n + f*o + m*o**4 and give d.
-1
Rearrange -1 + 3 + 183*f + 2 + 3 - 15 to a*f + i and give a.
183
Rearrange -4478*u**2 - 2497 + 2497 + 754*u**2 to the form i*u**2 + x + p*u and give i.
-3724
Express -7 + 14652*z**2 + 4*z - 14649*z**2 + 5*z in the form j + b*z + c*z**2 and give j.
-7
Express -9*o**2 - 14*o**2 - o + o**3 + 18*o**2 as t*o + a + l*o**3 + g*o**2 and give l.
1
Express (3*x**2 + 0*x**2 - 4*x**2)*(x + 2*x + 5*x)*(2 + 16 - 4) as n*x + a + m*x**2 + b*x**3 and give b.
-112
Rearrange 2139 - 116*l + 2099 + 30*l**2 + 5*l - 4238 to h*l + b*l**2 + g and give b.
30
Rearrange (-4 + 7 - 1)*(-2 + u + 2) + u + 2*u - 2*u + (11 - 7 + 2)*(1885*u - 740 + 740) to the form p + c*u and give c.
11313
Express -667*i + 613*i**4 - 2 - 611*i**4 + 3*i**2 + 161*i - 105*i in the form l*i + z*i**3 + s + g*i**2 + c*i**4 and give g.
3
Rearrange (0*m**2 - 16*m**2 + m**2)*(-98 + 63 + 2*m + 62) to the form a*m**2 + q
|
{
"pile_set_name": "DM Mathematics"
}
|
g: 1, a: 2}. What is prob of picking 1 y and 1 l?
16/153
Three letters picked without replacement from uuqeuuquvyuuuuueyuuq. What is prob of picking 2 u and 1 q?
33/190
Three letters picked without replacement from {b: 2, a: 1, l: 1, g: 2}. What is prob of picking 1 b and 2 g?
1/10
Three letters picked without replacement from {i: 4, s: 1, e: 4, g: 2}. Give prob of picking 1 s and 2 g.
1/165
What is prob of picking 1 n and 3 c when four letters picked without replacement from {r: 1, c: 4, n: 2, s: 3, e: 4}?
8/1001
Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {u: 1, v: 7, e: 3, b: 1, l: 1}.
7/26
Three letters picked without replacement from ooyebeeuoye. Give prob of picking 1 y, 1 e, and 1 b.
8/165
Two letters picked without replacement from qllbqllnlnbln. What is prob of picking 2 l?
5/26
Calculate prob of picking 1 i, 1 f, and 2 u when four letters picked without replacement from {f: 2, u: 5, i: 8}.
32/273
What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 1, q: 8, g: 1, y: 2, j: 1, e: 2}?
1/455
What is prob of picking 2 c when two letters picked without replacement from {c: 2, g: 4}?
1/15
What is prob of picking 1 p and 2 o when three letters picked without replacement from {u: 1, o: 3, n: 2, c: 1, p: 3, a: 1}?
3/55
What is prob of picking 1 c, 1 u, and 1 k when three letters picked without replacement from ujcuukujcuvjcj?
15/364
Two letters picked without replacement from cjppcpppcpcjp. What is prob of picking 2 p?
7/26
What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 6, m: 1, r: 4}?
1/11
What is prob of picking 2 e when two letters picked without replacement from eedryyjjiyid?
1/66
Calculate prob of picking 1 z and 3 k when four letters picked without replacement from essmkmskkszz.
2/495
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jjjjjjxxjjxjjjjj.
13/40
Two letters picked without replacement from azzarabrbbrraraarbz. Give prob of picking 1 z and 1 a.
2/19
What is prob of picking 3 u when three letters picked without replacement from zzzzzzzzuzuzuz?
1/364
Three letters picked without replacement from xxvvvvvxvxvvvvxmvvm. Give prob of picking 3 v.
220/969
Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {v: 4, y: 2, w: 1, f: 2, k: 1, n: 5}.
1/455
Two letters picked without replacement from {a: 2, u: 1, p: 4, f: 4, i: 4, c: 4}. What is prob of picking 2 p?
2/57
What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 5, n: 5, c: 7, d: 1}?
25/408
Calculate prob of picking 4 l when four letters picked without replacement from llllololol.
1/6
Three letters picked without replacement from raaaraaaaa. Give prob of picking 3 a.
7/15
What is prob of picking 3 q when three letters picked without replacement from {q: 7}?
1
Three letters picked without replacement from {m: 1, x: 12}. Give prob of picking 3 m.
0
Four letters picked without replacement from ioololoododooooooqoo. Give prob of picking 1 q, 2 o, and 1 l.
182/4845
Three letters picked without replacement from rmmomrrrmorr. Give prob of picking 3 r.
1/11
Calculate prob of picking 2 n when two letters picked without replacement from {k: 4, o: 2, n: 5, c: 2}.
5/39
Three letters picked without replacement from {s: 8, j: 4, h: 8}. What is prob of picking 3 h?
14/285
What is prob of picking 1 q, 1 x, and 2 m when four letters picked without replacement from xxmxqmmxmmx?
5/33
What is prob of picking 3 b when three letters picked without replacement from {b: 7, a: 3}?
7/24
Three letters picked without replacement from sajvivf. Give prob of picking 1 j, 1 i, and 1 a.
1/35
Three letters picked without replacement from meem. What is prob of picking 2 m and 1 e?
1/2
What is prob of picking 1 g and 2 r when three letters picked without replacement from {v: 3, r: 2, g: 4}?
1/21
Calculate prob of picking 3 m when three letters picked without replacement from omomoomomoimomimomm.
28/323
Two letters picked without replacement from jjbjjjbjzjybjjby. What is prob of picking 2 y?
1/120
What is prob of picking 1 r, 1 u, 1 o, and 1 c when four letters picked without replacement from rczou?
1/5
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from otntjjnfnfnoonnynj.
7/816
What is prob of picking 1 a, 2 k, and 1 r when four letters picked without replacement from rrkkkkaar?
2/7
What is prob of picking 2 l and 1 o when three letters picked without replacement from yzklwkklylozkw?
3/364
Two letters picked without replacement from bvbvvjvb. What is prob of picking 2 v?
3/14
Four letters picked without replacement from {z: 3, p: 1, b: 1}. What is prob of picking 1 p and 3 z?
1/5
Calculate prob of picking 1 x and 1 w when two letters picked without replacement from nkwnkwkxxkkkwkkkkakk.
3/95
What is prob of picking 2 s and 1 f when three letters picked without replacement from {s: 3, f: 2}?
3/5
What is prob of picking 1 e, 1 y, 1 b, and 1 u when four letters picked without replacement from oyoboeuebyobbbbyboe?
21/1292
What is prob of picking 3 a when three letters picked without replacement from {a: 5, j: 2, b: 2}?
5/42
Two letters picked without replacement from hhrfbefrhrr. What is prob of picking 1 b and 1 e?
1/55
Two letters picked without replacement from {y: 1, u: 1, d: 7, r: 9}. What is prob of picking 1 d and 1 u?
7/153
What is prob of picking 2 k when two letters picked without replacement from kskv?
1/6
Two letters picked without replacement from wwqgwqw. What is prob of picking 2 q?
1/21
Two letters picked without replacement from {x: 9, k: 7}. Give prob of picking 2 x.
3/10
What is prob of picking 3 a when three letters picked without replacement from {a: 5, g: 9}?
5/182
Calculate prob of picking 2 q and 1 b when three letters picked without replacement from qblxbzxqquqb.
9/110
Two letters picked without replacement from jxpjjpxjdjpxpdj. What is prob of picking 2 x?
1/35
Four letters picked without replacement from fvnvvxnhvvvffh. Give prob of picking 2 h and 2 f.
3/1001
Three letters picked without replacement from {d: 1, y: 1, v: 1, b: 1, j: 9, x: 2}. What is prob of picking 1 y and 2 j?
36/455
What is prob of picking 2 v and 1 s when three letters picked without replacement from bsvvls?
1/10
Two letters picked without replacement from fwfowooowwwweewoofwo. What is prob of picking 1 o and 1 f?
21/190
Two letters picked without replacement from reuuqqquei. Give prob of picking 1 u and 1 r.
1/15
Three letters picked without replacement from {y: 3, m: 6, c: 6}. What is prob of picking 3 y?
1/455
What is prob of picking 1 t,
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when g(b) is divided by 5?
3
Let u(w) = w**3 + 19*w**2 - 20*w + 2. Let y be u(-20). Suppose -4*z + y*t = -16, 3*t + 5 = -7. Calculate the remainder when z is divided by 1.
0
Let v(q) = -9*q - 12. Let w(m) = 5*m + 6. Let g(f) = -6*v(f) - 11*w(f). Let l be g(4). Suppose z - l = -z. Calculate the remainder when z is divided by 1.
0
Let r(l) = -21*l**3 + 2*l. Let f be r(-2). Suppose x + f = 5*x. Let b = -91 + 113. What is the remainder when x is divided by b?
19
Let z(t) = t**2 + 4*t. Let h be z(-4). What is the remainder when (22 - 18) + 91 + h is divided by 14?
11
Let i(w) = w - w**3 + 36*w**2 - 36*w**2. Let n(r) = 3*r**3 + 5. Let p(h) = 4*i(h) + n(h). Calculate the remainder when p(-4) is divided by 18.
17
Let n be (-16)/(-10) + (-18)/(-45). What is the remainder when 43 is divided by 45/3*2/n?
13
Let m(u) = -u + 10. Let o be m(7). Suppose b = o*b - 48. Calculate the remainder when b is divided by 9.
6
Suppose -3*l + 45 = -135. Suppose l = 2*z + 3*z. Calculate the remainder when (2 - 5) + 8*6 is divided by z.
9
Let d(y) = y**2 - 9*y + 11. Let a be d(8). Suppose -3*r + 2*p = -61, 5*p + 31 = a*r - 27. What is the remainder when r is divided by 6?
3
Suppose 4*s = -s - 380. Let a = s - -111. Suppose -106*l - 4*o - 30 = -107*l, -2*l + 24 = 4*o. What is the remainder when a is divided by l?
17
Let p(b) = -b**2 - 17*b + 7. What is the remainder when 72 is divided by p(-15)?
35
What is the remainder when (4/(-1) + 3)/(3/(-309)) is divided by 12?
7
Let r be 12716/16 + (-1)/12*-3. Suppose 312 - r = -3*i. What is the remainder when i is divided by 27?
26
Suppose -3*n = -191 + 53. What is the remainder when n is divided by 22?
2
Suppose 3652 = 5*i + 17*i. What is the remainder when i is divided by 35?
26
Suppose 14*m - 345 = -9. Calculate the remainder when 84 is divided by m.
12
Let t = 356 - 256. Calculate the remainder when t is divided by 12.
4
Let q = 49 - 19. Calculate the remainder when 26 is divided by (14/(-14))/((-2)/q).
11
What is the remainder when 2*21*(-5)/(-10) is divided by 16?
5
Let c = -64 - -33. Let n = c + 63. Calculate the remainder when n is divided by 17.
15
Let c be ((-8)/10)/(8/(-140)). Let x = -358 + 367. Calculate the remainder when c/(-7) - (-56)/2 is divided by x.
8
Suppose 4*g + 30 = 182. Let p = g + -9. Let l = p - 19. What is the remainder when 38 is divided by l?
8
Let q(i) = -13*i**2 + 95*i - 2. What is the remainder when q(7) is divided by (-4 - (-2)/1) + 17?
11
Let x be (-10)/3 + (-8)/12. What is the remainder when 27 is divided by 8 + -1*(-4)/x?
6
Suppose h - 5*o = 104, 0 = 3*h - 5*o + 7*o - 346. What is the remainder when h is divided by 18?
6
Calculate the remainder when 304 is divided by ((-1)/(-3))/((-52)/(-12324)).
67
Let m(l) = 31*l - 289. What is the remainder when 263 is divided by m(13)?
35
Let d = -51 - -52. Calculate the remainder when 43 is divided by 34/8*(0 + 3 + d).
9
Let b = 1562 - 1401. Calculate the remainder when 797 is divided by b.
153
Let s = 1251 + -1222. Let w(q) = 4*q. Calculate the remainder when s is divided by w(4).
13
Calculate the remainder when 857 is divided by (1 - -6) + 0/(-6) + 6.
12
Suppose -4*y = 5*p - 287, -5*y - p + 229 = -2*y. What is the remainder when y is divided by 28?
22
Let x be -51 + (4 + -6)*-1. Let u = x + -36. What is the remainder when 34/u + (-424)/(-10) is divided by 11?
9
Let g = -449 + 676. What is the remainder when g is divided by 23?
20
Suppose 64 = 5*l - 2*p, -68 = -4*l + p - 5*p. Suppose 10*z - l*z - 304 = 0. Let w = z - -110. Calculate the remainder when w is divided by 18.
16
Suppose 266 = 6*b - 64. Calculate the remainder when b is divided by 12.
7
Suppose -17*t + 816 = -13*t. Let a = -123 + t. Calculate the remainder when a is divided by 18.
9
Let k(v) be the first derivative of v**2/2 - 4. Let l be k(2). Calculate the remainder when (8 + -1)*2/l is divided by 4.
3
Let n = -4579 + 4595. Suppose -2*i + 0*i + 156 = 0. Calculate the remainder when i is divided by n.
14
Let i(m) = -157*m - 194. Calculate the remainder when i(-10) is divided by 51.
50
Suppose 2*h - t = -12, 0*h + 3*t = -4*h - 4. Let n = 4 - h. Calculate the remainder when n is divided by 6.
2
Suppose -5*q = -3*s - 119, 2*s = q - 18 - 10. Suppose t - 4 = -t. Suppose 0 = t*g + g - 195. Calculate the remainder when g is divided by q.
21
Let t = -21 - -24. Suppose -t*l - 3 + 57 = s, -5*s + 36 = 2*l. What is the remainder when l is divided by 1*(0 - 1) - -6?
3
Let a = 1450 + -811. What is the remainder when a is divided by 107?
104
Suppose 0 = h + 176 - 28. What is the remainder when 110 is divided by (h/(-6))/((-6)/(-9))?
36
Suppose 4*c - 28 = 2*c. Let a be 4 - (-3 + (-2 - -10)). What is the remainder when c is divided by (-9)/a + (-10)/2?
2
Let y(g) = -47*g + 1529. What is the remainder when y(31) is divided by 19?
15
Suppose -4*b = 7*m - 3*m - 32, 2*b = -m + 12. Suppose 0 = m*o - 7 + 3. What is the remainder when o is divided by 1?
0
Let a(s) = -10*s - 25. What is the remainder when 274 is divided by a(-5)?
24
Suppose 4*p = p + 6. Suppose -p*r + 0*r = -90. Calculate the remainder when r is divided by 23.
22
Let p = -387 - -636. Calculate the remainder when p is divided by 18.
15
Suppose -483 = -11*u + 287. Calculate the remainder when u is divided by 18.
16
Suppose -5*p + 370 = 5*x, 7*x + 160 = 2*p + 6*x. Calculate the remainder when 150 is divided by p.
72
Let f(g) = g**2 - 5*g - 4. Let q be f(6). Let z be -1 + 26/1 - q. Let m =
|
{
"pile_set_name": "DM Mathematics"
}
|
64
Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2.
-14*sqrt(3) + 148
Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).
-1585 + 8*sqrt(5)
Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(55)/sqrt(5))).
15*sqrt(19)/2
Simplify ((5*sqrt(396)/sqrt(144))/(3*sqrt(484)*-1))**2.
25/1584
Simplify -1*-6*((sqrt(572) - -3*sqrt(572))*-4)/sqrt(11).
-192*sqrt(13)
Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))/(sqrt(54)/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2.
83200
Simplify (2*(sqrt(88) + (sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88))/(sqrt(16)/(4*sqrt(2))).
16*sqrt(11)
Simplify 5*(4 + -1 + sqrt(175) + -2 - (1*(sqrt(175) + sqrt(175) + 1) + -2 + -1*sqrt(175)))**2.
20
Simplify -4 + ((sqrt(1053) + 0 + sqrt(1053))*4)**2 + sqrt(1053)*1*5.
45*sqrt(13) + 67388
Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4).
2298
Simplify (sqrt(360) + sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - (sqrt(360) - -2*sqrt(360))))) + sqrt(360))/((sqrt(1000) + sqrt(10))/sqrt(5)).
6*sqrt(5)/11
Simplify ((-1*sqrt(342) + sqrt(342))*-4)/(2*(sqrt(2) - (sqrt(2) - (sqrt(18)/(sqrt(9) - ((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9)) - sqrt(9)) - sqrt(2))))).
0
Simplify (-6*(2 + sqrt(112)) + 0 + 3)**2.
432*sqrt(7) + 4113
Simplify -3 + -5*(sqrt(99) - (sqrt(99) - (-2 + sqrt(99) + 2))**2)*1*-6.
-3 + 90*sqrt(11)
Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)/sqrt(4)*4.
10 + 21*sqrt(2)
Simplify (sqrt(20) - (sqrt(20) + -2*sqrt(20)))/sqrt(4) + (sqrt(5) + (sqrt(5) - sqrt(45)))*-2 + sqrt(10)/(2*sqrt(18)).
25*sqrt(5)/6
Simplify (1 + -2*sqrt(288) + 0)**2 - (((sqrt(288) - -1*sqrt(288)) + sqrt(288))*6 + sqrt(288) - (sqrt(288) + (sqrt(288) - (1 + sqrt(288) + -1))))**2.
-92159 - 48*sqrt(2)
Simplify (-1 + 3 + (sqrt(128) + -2)*-6)*-2 + 1.
-27 + 96*sqrt(2)
Simplify (sqrt(224)/(sqrt(32)/(sqrt(4) + sqrt(4)*3 + sqrt(4))))/(-3*sqrt(16)*-3).
5*sqrt(7)/18
Simplify 6*(sqrt(45)/((sqrt(18) - (-2*sqrt(18) + sqrt(18)))/sqrt(2)) - (-3*(sqrt(15)/sqrt(3))**2 + 5)).
3*sqrt(5) + 60
Simplify -6*(sqrt(200)/sqrt(10) - sqrt(5)*5*2).
48*sqrt(5)
Simplify -2*((4 + (sqrt(1539) - (sqrt(1539) + -1)) - (-4 + (sqrt(1539)*1 - sqrt(1539)))) + -3)**2*4.
-288
Simplify sqrt(245) + (sqrt(245)*6 - sqrt(245))**2 + sqrt(245) + -1 + sqrt(245) + -2*sqrt(245)*-4.
77*sqrt(5) + 6124
Simplify (-1*sqrt(152)*-1 + -1*sqrt(152)*-2)/(sqrt(32)/(sqrt(36)*2)).
18*sqrt(19)
Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2.
10*sqrt(13) + 326
Simplify (-6*-2*sqrt(567) + sqrt(567) + -1 + -5)**2*4.
-5616*sqrt(7) + 383436
Simplify -3*-5*(sqrt(76) - sqrt(19)) - sqrt(171)/(sqrt(99)/sqrt(99)).
12*sqrt(19)
Simplify 1 + (-3 + ((sqrt(2592) - sqrt(2592)*-1) + sqrt(2592) + sqrt(2592))*1)**2.
-864*sqrt(2) + 41482
Simplify 1 + (-1 + sqrt(275))**2 - (3*sqrt(275)*-5)**2.
-61598 - 10*sqrt(11)
Simplify (-1 + -2 + sqrt(3) + 0 + -1 + sqrt(3))*-1*4 + -3.
-8*sqrt(3) + 13
Simplify ((-2*(-1 + sqrt(1216)) + sqrt(1216))*-4 - (5 + -4*(sqrt(1216) + 3)))**2.
-128*sqrt(19) + 77825
Simplify (sqrt(450)/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)/sqrt(90)).
57*sqrt(5)/70
Simplify 4*((-2 + sqrt(112)*2 - (-2*sqrt(112) + -4))**2 + 3)*4.
1024*sqrt(7) + 28784
Simplify (4 + sqrt(27) + 4 + sqrt(3))**2 - (-5 + sqrt(300) + 2 + sqrt(300) + sqrt(300)).
34*sqrt(3) + 115
Simplify (1 + -2*(sqrt(2) - (sqrt(4)/sqrt(2) + 1)) + 2)*-3.
-15
Simplify (1*(-3 + sqrt(117) + 0 + sqrt(117) - (sqrt(117) + -4 + 0)))**2.
6*sqrt(13) + 118
Simplify 2*(-1 + sqrt(76) + -4 - sqrt(76))*6 + -2.
-62
Simplify sqrt(20)/(sqrt(100)/sqrt(10))*4 - ((sqrt(2) + sqrt(50) + -2)**2 + -1*(-2*sqrt(2) - sqrt(2))).
-76 + 25*sqrt(2)
Simplify (((3*1*sqrt(264))/sqrt(11))/((sqrt(768) + 2*sqrt(768))*-1 - sqrt(768)))**2.
9/512
Simplify -5 + sqrt(432)*2 + sqrt(432) + (3*sqrt(192)*1 - sqrt(192))**2.
36*sqrt(3) + 763
Simplify 2*(-5*sqrt(225)*-6)/(sqrt(605) - -1*(2*sqrt(605) - sqrt(605))).
90*sqrt(5)/11
Simplify ((4*1*sqrt(171)*1)/(sqrt(63)/((sqrt(7) + sqrt(42)/sqrt(6))*5 - sqrt(7))))**2.
24624
Simplify (4*sqrt(44) - (2 + sqrt(176))**2)*-4.
32*sqrt(11) + 720
Simplify ((sqrt(88)*1 - sqrt(88))*-4)/sqrt(8) - ((sqrt(704) + -1)**2 + 5*(sqrt(22)/sqrt(2))**2).
-760 + 16*sqrt(11)
Simplify (sqrt(847)*1 + 4 - (4 + 1*sqrt(847)) - (-4*2*sqrt(847) + sqrt(847) + -1 + (-2*sqrt(847) - sqrt(847))))**2.
220*sqrt(7) + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
3*t + 36 = -2*f + 96. List the prime factors of t.
2, 11
Suppose -2*q + 4 + 0 = -x, 0 = x - 2. Suppose 0 = 5*m - h - 159, -q*m - 5*h = -0*h - 101. What are the prime factors of m?
2
Suppose 0 = 7*h - 8600 - 640. List the prime factors of h.
2, 3, 5, 11
Let x be -15*4/(-15)*-3. Let t(a) = -a**3 - 12*a**2 - 3*a - 5. Let r be t(x). Let g = r + -10. List the prime factors of g.
3, 7
Let k(i) = -2 + 22*i**3 + 33*i - 65*i + 31*i. List the prime factors of k(2).
2, 43
Let h(y) = -4*y**2 - 5*y. Let z be h(-5). Let v = z + 39. Let u = v + 80. What are the prime factors of u?
2, 11
List the prime factors of (995 - 7) + 0/1 + -5.
983
Suppose -4*d + 1464 = 56*q - 55*q, 4*q - 5898 = -2*d. What are the prime factors of q?
2, 3, 41
Let c be (-5532)/(-48) + 2/(-8). Let m = 189 - c. Suppose m = 4*d - 22. List the prime factors of d.
2, 3
List the prime factors of 2/(30/5)*5*111.
5, 37
Let b = 2608 + 654. What are the prime factors of b?
2, 7, 233
Suppose 0 = -3*w + w + o + 11, -5*w - 3*o = -22. Let j = -9 - -11. Suppose -w*t - 40 = -j*b, 4*t - 7*t - 100 = -5*b. What are the prime factors of b?
2, 5
Let a(i) = -i + 1. Let x be (-3)/(-2) + (-3)/6. Let q = x + -2. List the prime factors of a(q).
2
Let u(c) = 4*c**2 - 56*c - 3. List the prime factors of u(24).
3, 11, 29
Suppose -g + f + 10 = 0, 2*g - 5*f = 20 - 3. Let v = 10 + g. What are the prime factors of (-4)/7 + 642/v?
2, 3, 5
Suppose 2*v = l + 16, -4*v - 4*l - 1 = -9. Let p = -2 + v. What are the prime factors of 59/5 + p/20?
2, 3
Suppose 4*m - 284 = -h, 0 = -m - 2*m + 9. What are the prime factors of h?
2, 17
Suppose m - 2 - 2 = 0. Suppose -3*x = -m*w + 595, 37 + 116 = w - 5*x. What are the prime factors of w?
2, 37
Suppose 0 = 9*l + 31*l - 64920. What are the prime factors of l?
3, 541
Let d be (-4)/10 + 216/40. Suppose 2*p + d*p - 532 = 0. List the prime factors of p.
2, 19
Let z(p) = -p**3 - 7*p**2 - 4*p + 4. Let o be z(-6). Let m(c) be the first derivative of -c**2/2 + 2*c - 1. What are the prime factors of m(o)?
2, 5
List the prime factors of (-88023)/(-195) - 2/5.
11, 41
Let p(b) = b + 25. Let n be p(19). Suppose -2*t + 3*a = a - 46, -2*t = -4*a - n. What are the prime factors of t?
2, 3
Suppose 2*b - 19 = -3. Let a = b + -20. List the prime factors of (-100)/(-6)*(-18)/a.
5
Let q = 241 - 119. What are the prime factors of q?
2, 61
Suppose -5*y + 6 + 4 = 0. Suppose -2*f + 6*f - x - 477 = 0, f + 4*x = 132. Suppose -y*t - f = -7*t. List the prime factors of t.
2, 3
Suppose 17 - 23 = -3*o. Suppose -59 = 3*f - 3*i - 20, -f - o*i = 4. What are the prime factors of ((-4)/3)/(f/150)?
2, 5
Let z be 3*-1*(3 + -2). Let t be 1 - 1*(8 - z). List the prime factors of (t/4)/(1/(-14)).
5, 7
Suppose -2*p + 7*p = -5*d + 1115, 1338 = 6*p + d. List the prime factors of p.
223
Let a(z) = -25*z + 5 - 4 + 7*z**2 + 27*z - 26. What are the prime factors of a(-7)?
2, 19
Suppose 4*s + 4*x - 451 - 93 = 0, 5*s - 656 = x. What are the prime factors of s?
2, 3, 11
Let o(k) = -k**3 - 18*k**2 + 2*k - 37. Let c(z) = 2*z**3 + 35*z**2 - 5*z + 74. Let a(q) = -6*c(q) - 11*o(q). List the prime factors of a(-13).
2, 7
Suppose 47527 = 21*l + 1432. List the prime factors of l.
5, 439
Suppose 11*p = 16*p. Suppose -6*a + 8*a - 236 = p. What are the prime factors of a?
2, 59
Suppose 4*h - 3*d = -2*d + 18, -5*d - 2 = 2*h. Let o(f) = 8*f + 6. What are the prime factors of o(h)?
2, 19
Let v = -48 - 174. Let y = 361 + v. What are the prime factors of y?
139
What are the prime factors of (-255)/(-45)*(177 - 0)?
17, 59
Let m(l) = 35*l - 124. List the prime factors of m(18).
2, 11, 23
Let h(o) = -128*o**3 - 12*o**2 - 6*o + 2. What are the prime factors of h(-3)?
2, 421
Let b(z) = 5*z**2 - 3*z + 5. Let r be b(4). Suppose -r = 3*w - 298. Let a = w - 39. What are the prime factors of a?
2, 3
Let a = -68 + 58. What are the prime factors of 1*59 - (a - -11)?
2, 29
What are the prime factors of -2 + (-3312)/(-9) + 6?
2, 3, 31
Suppose -451 = -2*k - 5*l, 4*l + 0*l = 2*k - 496. Let r = 466 - k. What are the prime factors of r?
2, 3, 19
Let h(c) = c**3 + 15*c**2 + 20*c + 24. Let n be h(-13). Let q = 13 + n. What are the prime factors of q?
5, 23
Let d = -546 + 966. List the prime factors of d.
2, 3, 5, 7
Suppose 0 = -j - 2 - 0. Let l be (j - 0) + -1 - -7. Suppose 2*x + i - 34 = 36, -l*i - 201 = -5*x. What are the prime factors of x?
37
Let p = -3 - -6. Suppose p*r - 29 = -2*r + 2*y, 2*r = -4*y + 2. Suppose 3*g - r*g = -42. List the prime factors of g.
3, 7
Let r = -82 + 79. List the prime factors of 1/r + (-1524)/(-9).
13
Suppose 4*y - 32*y = -59976. List the prime factors of y.
2, 3, 7, 17
Suppose -9 = -5*z + 4*d + 261, -5*z + 270 = 2*d. Let o = z + 87. List the prime factors of o.
3,
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(468))) + 1)**2.
168*sqrt(13) + 1921
Simplify (6*(sqrt(15) + sqrt(30)/sqrt(2)))/(sqrt(30)/(sqrt(12)/sqrt(2))).
12*sqrt(3)
Simplify sqrt(1008)*4 + -2 - ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))**2) + 0).
36*sqrt(7) + 9070
Simplify (-5 + sqrt(425) + sqrt(17) + sqrt(17) + (-1*sqrt(204))/sqrt(12) - (sqrt(204) + sqrt(204) + (1*sqrt(204) - sqrt(204)))/sqrt(12)*-2)**2.
-100*sqrt(17) + 1725
Simplify (2*3*-1*(sqrt(272) - (sqrt(272) - (sqrt(272) + sqrt(272) + -1 - sqrt(272))))*-5)**2*-6.
-1474200 + 43200*sqrt(17)
Simplify sqrt(22)/sqrt(2) + 3 + (sqrt(352) - sqrt(22))/sqrt(2) + sqrt(55)/((sqrt(175)/sqrt(5))/sqrt(7)).
3 + 5*sqrt(11)
Simplify 6*(-2 + sqrt(75))**2 - (4*sqrt(1344))/sqrt(7).
-152*sqrt(3) + 474
Simplify -5 + ((-5*(0 + sqrt(147)))**2 - sqrt(147)) + sqrt(147) + ((1*sqrt(147)*-2)**2 - sqrt(147)) + -5.
-7*sqrt(3) + 4253
Simplify (-6*(sqrt(72) - -2*sqrt(8))*1*-2)**2.
28800
Simplify 5*sqrt(110)/(-4*sqrt(10)) + -5*(0 + sqrt(11))*3.
-65*sqrt(11)/4
Simplify ((sqrt(33)*-4*-5)/(-5*(sqrt(27)/sqrt(9) + sqrt(3) - sqrt(3))))**2.
176
Simplify (2*(-5 + sqrt(108)/sqrt(4) + sqrt(27) + 1))**2.
-192*sqrt(3) + 496
Simplify ((2 + sqrt(396) + 1 - sqrt(396)) + 5)**2 + (1*-2*sqrt(396) - (sqrt(396)*-2*2 + sqrt(396)))**2.
460
Simplify -5 + -1 + (-2 + sqrt(128) + -2 - sqrt(128) - sqrt(128)) + sqrt(128) + -3.
-13
Simplify (-5 + (-1 + sqrt(1008))**2 + 3)*-3.
-3021 + 72*sqrt(7)
Simplify 1*-6*-5*(sqrt(1872) + 1 + sqrt(1872)*2 + sqrt(1872)).
30 + 1440*sqrt(13)
Simplify (sqrt(200)/sqrt(250) + sqrt(80)*2 + sqrt(80))/(sqrt(256) - sqrt(256)*-1*-5).
-31*sqrt(5)/160
Simplify (-2 + sqrt(3) + -2)**2*-3 - (sqrt(3) + (sqrt(3) + (0 + sqrt(3))*2)**2 - sqrt(15)/(sqrt(15)/sqrt(3))).
-84 + 24*sqrt(3)
Simplify (sqrt(1377)*2*-2*-5)**2*6*3.
9914400
Simplify -2 + (2*sqrt(160))/(sqrt(2) + sqrt(36)/sqrt(2) - sqrt(2)).
-2 + 8*sqrt(5)/3
Simplify (-1*(sqrt(55) + sqrt(495))/sqrt(5) + -2*(-5 + sqrt(176)))**2*-1.
-1684 + 240*sqrt(11)
Simplify (-4 + sqrt(99) + 1 + sqrt(99) + -2 + sqrt(99) + 4*sqrt(99)*-1 + -3 + sqrt(99) + 0 + 2)**2.
36
Simplify (sqrt(56)/sqrt(8) + -4 + (sqrt(126)/sqrt(2) - sqrt(63))**2)*2.
-8 + 2*sqrt(7)
Simplify (-2*(sqrt(15) + sqrt(60)/sqrt(4)*4 + sqrt(15)))/(2*(sqrt(48)*2 + sqrt(48))).
-sqrt(5)/2
Simplify sqrt(700)*3 + 3 + sqrt(84)/(sqrt(72)/sqrt(6))*-3.
3 + 27*sqrt(7)
Simplify ((-2*sqrt(2448))**2 + -2)*-6 - ((3*1*sqrt(68) - sqrt(68))/(sqrt(4) + (2*sqrt(64) - sqrt(4))))**2.
-939857/16
Simplify 3*1*(2 + sqrt(931))*2.
12 + 42*sqrt(19)
Simplify ((-4 + sqrt(272) + 3 + 3*sqrt(34)/sqrt(2) + -2)*-4)**2.
-672*sqrt(17) + 13472
Simplify -5 + -5 + (sqrt(637))**2 - (sqrt(156) - -5*(sqrt(156) - (sqrt(156) + 3*sqrt(156))))/sqrt(12).
14*sqrt(13) + 627
Simplify -3 + ((sqrt(176) - (sqrt(176) - 6*(sqrt(176) - (sqrt(176) + 0 + sqrt(176))))) + -5*(sqrt(176) + -1 + sqrt(176)) + 1)**2.
-768*sqrt(11) + 45089
Simplify 4 + ((-1 + sqrt(300) + 2)**2 - (sqrt(300) + 2 + -2)).
10*sqrt(3) + 305
Simplify (1*(sqrt(136)/(sqrt(648)*-1) + (sqrt(68) - sqrt(68)*2 - sqrt(68) - sqrt(68))*1))**2.
51425/81
Simplify -1 + (3 + sqrt(11) + (sqrt(11) + -2)*5 + -3)**2.
-120*sqrt(11) + 495
Simplify (-4 + 6*(sqrt(200)*3 - sqrt(200) - sqrt(2)) + 1)*2.
-6 + 228*sqrt(2)
Simplify -5*(-3 + 3*(sqrt(156)*2*-3)/(sqrt(108)/(sqrt(9) + sqrt(144) + sqrt(9)))).
15 + 540*sqrt(13)
Simplify (4*(-3*sqrt(102)/sqrt(6) + (sqrt(17) - (sqrt(68) - -4*sqrt(68))/sqrt(4))))**2.
13328
Simplify 5*(1 + ((4*(sqrt(19) + 2))**2 - (3 + (0 + sqrt(19))**2))).
320*sqrt(19) + 1735
Simplify 4 + (sqrt(1200)*-2 + sqrt(12))/(sqrt(64) - -3*sqrt(64)).
-19*sqrt(3)/16 + 4
Simplify 3*sqrt(5)*1 + (sqrt(5) - (sqrt(50)/(3*sqrt(10)) + sqrt(5))) + (sqrt(35) - sqrt(35)*-1*4)/(sqrt(63)*-4).
9*sqrt(5)/4
Simplify (-4 + sqrt(180) + 1 - (sqrt(180) - (sqrt(180) + 0)*-5))*-2 + -5.
1 + 60*sqrt(5)
Simplify (sqrt(19) - (sqrt(133)*1)/sqrt(7)) + (sqrt(684)*2)**2 + -1 + (sqrt(304)/(sqrt(8)*-1))/sqrt(288).
-sqrt(19)/12 + 2735
Simplify sqrt(15)/(sqrt(5) - (sqrt(50) + sqrt(50)*-2)/sqrt(10)) - (-1 + sqrt(363) + -1).
-21*sqrt(3)/2 + 2
Simplify (5*sqrt(80) - sqrt(80))**2*3 - (-2*(-5 + sqrt(80)))**2.
160*sqrt(5) + 3420
Simplify (6*(sqrt(170) - (sqrt(170) + sqrt(170)*2))*-5)/(((-2*sqrt(120) + sqrt(120) - sqrt(120))*1)/sqrt(12)).
-30*sqrt(17)
Simplify (sqrt(648) + -2 + (sqrt(1800)*3)/sqrt(9))**2.
-192*sqrt(2) + 4612
Simplify 2*sqrt(112)*-3*5*6.
-720*sqrt(7)
Simplify -4 + sqrt(130)/(sqrt(10)*1) + (sqrt(13)*2 + -3)**2 + -1.
-11*sqrt(13) + 56
Simplify ((-5*3*sqrt(864))/(6*(sqrt(288) + 1*sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
(l) = -l**3 - 10*l**2 - 2*l. Let p be o(n). What is the highest common factor of 180 and p?
20
Let d = -36 + 48. Let z(y) = -y**2 + 15*y - 13. Let p be z(d). Suppose 462 = 4*l + 3*s - 2*s, -l + 107 = -4*s. What is the highest common factor of l and p?
23
Suppose -9*b + 31 = -14. Suppose b*k + 0*k - 55 = 0. What is the greatest common factor of k and 121?
11
Let g = 650 + -554. Calculate the highest common divisor of g and 624.
48
Suppose -2 = 6*n - 32. Let y be 3/n + 126/15. Calculate the greatest common factor of 12 and y.
3
Let q = 888 + -816. What is the greatest common divisor of 4 and q?
4
Let k = 10 - 20. Let v be 5/(k/(-4)) - 32. Let x be (3/(-2))/(5/v). What is the highest common divisor of x and 27?
9
Let l be ((-6)/(-8))/(3/12). Let f(x) = -x**2 - 22*x + 162. Let y be f(5). Calculate the highest common divisor of y and l.
3
Suppose -4*w + 4 = 2*p - 42, 0 = -4*p + 3*w + 70. Suppose 181*t - 47*t - 2546 = 0. What is the greatest common divisor of t and p?
19
Let a = 6 + -3. Suppose -p = -a*p + 20. Calculate the highest common factor of 25 and p.
5
Suppose j = 5*z - 2469, -6*z - j - 1481 = -9*z. Calculate the greatest common factor of z and 39.
13
Let p(b) = b**2 - 5*b - 4. Let o be p(3). Let v(y) = -y**3 - 11*y**2 - y - 10. Let d be v(o). Let t = d + 160. Calculate the greatest common factor of 20 and t.
20
Suppose 5*u - 11*j = -6*j + 130, -4*u + 3*j + 106 = 0. Suppose -2*b + 3*b = 4. What is the highest common factor of u and b?
4
Let g(t) = -42*t**3 - 2*t**2 + t + 2. Let j = 23 - 21. Suppose 3*m = 2*o + 8, 0 = m - j. Let h be g(o). Calculate the greatest common divisor of 205 and h.
41
Suppose 0*q - 4 = -2*q. Suppose -4*w = g + 11, 2*g - 5*w - 33 = -q*w. Let x be (-1 - 0)*(-225 - -222). What is the greatest common factor of g and x?
3
Suppose 43 + 577 = 10*n. Calculate the greatest common divisor of 713 and n.
31
Let g = 329 + -302. Suppose 0 = -6*a + a + 945. Calculate the greatest common divisor of a and g.
27
Suppose 3*k + 5*d + 18 + 662 = 0, 0 = -2*d + 10. Let g be (-8)/5*-4 - (-94)/k. Calculate the greatest common divisor of g and 18.
6
Suppose -i = 4*h - 5*h - 8, 5*i + 3*h - 40 = 0. What is the highest common divisor of i and 232?
8
Let v = 6 + -3. Suppose -y = -4*s + 38, -s + 4*y = 7*y - v. Let b be (-1)/(1*-3*5/135). What is the highest common factor of s and b?
9
Suppose -1302 = u - 4*u. Suppose 0 = -3*w - y - 33 + 299, -u = -5*w - 4*y. Calculate the highest common divisor of w and 10.
10
Let n = 286 + -132. Calculate the greatest common factor of n and 28.
14
Suppose 4*s - 3 = 5. Suppose 4*f = -s*n + 48, -2*f + 24 = 3*n - 6*n. Calculate the greatest common factor of 132 and f.
12
Let f be (-4)/(-8 - -4)*0. Suppose -299 - 31 = -4*u - 2*p, 5*u - 5*p - 375 = f. What is the highest common factor of 10 and u?
10
Let s(l) = 2*l**3 + 45*l**2 + 100*l + 10. Let t be s(-20). What is the greatest common factor of t and 1090?
10
Suppose -2905 = 22*b - 29*b. Calculate the greatest common divisor of 166 and b.
83
Let i be 11/3 - 14/(-42). Suppose -i*g + 7650 = 13*g. What is the highest common divisor of g and 45?
45
Let j be (852/355)/(1/15). What is the greatest common factor of j and 99?
9
Suppose -4*g + 483 + 9 = 0. Let n = g - 70. Let s = n - 29. Calculate the greatest common divisor of 24 and s.
24
Suppose -2*i - 4 = 5*o - 17, o - 6 = 3*i. Suppose -d = -4*a + d + 638, o*d = 3. Calculate the highest common factor of a and 64.
32
Let j = 1 - -3. Let m be (3 + 0)*(-30)/45. Let p be (22/j)/(m/(-4)). What is the greatest common factor of p and 11?
11
Let s = 353 - 12. Suppose 0*b - 4*b = -44. Suppose 0 = b*t - 14*t + 93. What is the highest common factor of t and s?
31
Let x = 146 - 14. What is the greatest common factor of 12 and x?
12
Let j(f) = 3*f**2 + 10*f + 39. Let l be j(-3). Calculate the greatest common divisor of 414 and l.
18
Let k be 84/8 - (-1)/(-2). Let y(o) = o**2 - o - 10. Let u be y(11). Suppose u = z + 4*z. What is the greatest common divisor of k and z?
10
Let l = 891 + -504. Let v be (1 + -4)/(5 + 218/(-43)). Calculate the greatest common factor of l and v.
43
Suppose 15 = q - 0*q. Suppose -2*v + 3*x + 90 = -v, -q = 3*x. Calculate the highest common divisor of 15 and v.
15
Let d be 2 + -2 - (-20 + 12). Let r(a) = 3*a**2 - 2*a. Let i be r(d). Calculate the highest common divisor of 16 and i.
16
Suppose 0 = -i - 2*p + 151, -10 + 2 = -2*p. What is the greatest common factor of 26 and i?
13
Let a(g) = -g**3 - 24*g**2 - 28*g - 27. Let k be a(-23). Let u = -60 + k. Calculate the highest common divisor of u and 224.
28
Suppose -108 = -0*q - 3*q. What is the highest common factor of 72 and q?
36
Suppose 155*x - 160*x + 5115 = 0. Calculate the greatest common divisor of 99 and x.
33
Let g(j) = j**2 - 20*j + 18. Let f be g(21). Let z = -20 - 6. Let s = z + f. Calculate the highest common divisor of 65 and s.
13
Suppose -3*g = 2*y + y, 0 = -3*y + 4*g. Suppose y = -2*f + 46 + 16. Calculate the highest common factor of f and 341.
31
Suppose -4*d + 7*d = -4*q + 1040, -15 = -3*q. Calculate the greatest common divisor of d and 40.
20
Let b be (13/(-7)*-2)/(188/14476). What is the highest common factor of 22 and b?
22
Suppose 29*b - 32 = 21*b. Suppose -b*x = -3*m - 64 - 0, 3*x = m + 43. Let j be 1 + (1 - -21*3). Calculate the highest common factor of x and j.
13
Let i be 1 - (3 + -2)*-1. Suppose i*a - 2*r - 89 = 53, -135
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from {a: 2, s: 4, o: 7}. What is prob of picking 1 a and 2 o?
21/143
Calculate prob of picking 1 b and 1 x when two letters picked without replacement from uxxuwxwwwufbw.
1/26
Two letters picked without replacement from wwwwwwwwowww. Give prob of picking 2 w.
5/6
Two letters picked without replacement from {p: 3, o: 1, z: 1, k: 1, i: 5}. What is prob of picking 1 p and 1 z?
3/55
Three letters picked without replacement from uuuuuouuuououuuouuuu. What is prob of picking 1 o and 2 u?
8/19
Two letters picked without replacement from doaooljolal. Give prob of picking 1 j and 1 d.
1/55
What is prob of picking 1 s, 2 h, and 1 y when four letters picked without replacement from {x: 2, h: 5, e: 5, y: 1, z: 2, s: 1}?
1/182
Calculate prob of picking 1 c and 1 k when two letters picked without replacement from rrrrrraarrrcrrrkakcr.
2/95
Three letters picked without replacement from lllllllllllsslslsll. Give prob of picking 3 s.
4/969
Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {s: 5, m: 4, w: 10}.
5/969
What is prob of picking 1 v, 1 o, and 2 r when four letters picked without replacement from {q: 5, r: 3, i: 1, v: 1, o: 4}?
12/1001
What is prob of picking 3 q when three letters picked without replacement from xqxxxxqxqqxxxxxxxxxq?
1/114
Calculate prob of picking 1 f, 1 a, 1 j, and 1 h when four letters picked without replacement from {w: 1, h: 6, j: 1, f: 1, a: 6}.
12/455
What is prob of picking 1 a and 1 h when two letters picked without replacement from hnaahahahhchhpahphhp?
5/19
Calculate prob of picking 1 z, 1 j, and 1 p when three letters picked without replacement from pppupptzjpjvvujvpp.
1/34
Three letters picked without replacement from {b: 2, w: 3, v: 13}. Give prob of picking 1 b and 2 v.
13/68
Three letters picked without replacement from {s: 4}. Give prob of picking 3 s.
1
Four letters picked without replacement from grwgyrgagw. Give prob of picking 1 g, 1 a, 1 y, and 1 r.
4/105
Calculate prob of picking 1 k and 3 z when four letters picked without replacement from {e: 4, k: 2, z: 3}.
1/63
Four letters picked without replacement from {n: 8, h: 8, g: 2}. Give prob of picking 2 n, 1 g, and 1 h.
112/765
What is prob of picking 3 c when three letters picked without replacement from cxrrvvcvxxccxxvr?
1/140
What is prob of picking 4 b when four letters picked without replacement from {x: 1, p: 2, b: 11}?
30/91
Two letters picked without replacement from nnhdndkknhk. Give prob of picking 2 n.
6/55
Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, j: 3, a: 2, v: 10, p: 2}.
1/171
Two letters picked without replacement from {m: 3, g: 7}. Give prob of picking 2 m.
1/15
Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {z: 4, k: 3, t: 10, h: 3}.
3/19
What is prob of picking 1 n and 1 t when two letters picked without replacement from tqttttttttnttt?
12/91
Calculate prob of picking 4 s when four letters picked without replacement from cscsccscccccccscsccc.
1/969
What is prob of picking 2 y, 1 j, and 1 g when four letters picked without replacement from gyggyygttjogyyydt?
15/476
What is prob of picking 3 k when three letters picked without replacement from {w: 6, k: 4, d: 10}?
1/285
Three letters picked without replacement from {b: 8, j: 5}. Give prob of picking 2 j and 1 b.
40/143
Two letters picked without replacement from fffffxxfxfxffxfffff. Give prob of picking 2 f.
91/171
What is prob of picking 1 s and 1 b when two letters picked without replacement from {s: 2, b: 1}?
2/3
Two letters picked without replacement from {e: 2, p: 2, l: 1, s: 4}. Give prob of picking 1 s and 1 l.
1/9
Calculate prob of picking 2 x when two letters picked without replacement from iixxi.
1/10
Four letters picked without replacement from kkkkkgkk. Give prob of picking 3 k and 1 g.
1/2
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {l: 2, h: 6, r: 10}.
4/51
Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 2, u: 2}.
1/5
Calculate prob of picking 1 j, 2 h, and 1 a when four letters picked without replacement from {j: 1, h: 2, s: 2, z: 1, a: 3, e: 3}.
1/165
Four letters picked without replacement from fmmzrvzzrfmmvrzrm. Give prob of picking 1 v, 1 r, and 2 m.
4/119
Four letters picked without replacement from kppeyyppppeeekpkppp. Give prob of picking 1 k, 1 p, and 2 y.
5/646
What is prob of picking 4 o when four letters picked without replacement from hhoehhhhohheooo?
1/273
What is prob of picking 3 y when three letters picked without replacement from {u: 5, g: 3, o: 2, y: 3}?
1/286
Four letters picked without replacement from {g: 11, q: 1, m: 1, x: 4}. Give prob of picking 3 x and 1 m.
1/595
What is prob of picking 1 l and 1 p when two letters picked without replacement from {p: 13, q: 2, l: 3}?
13/51
Two letters picked without replacement from {t: 5, v: 1, j: 2, k: 2, r: 5, q: 2}. What is prob of picking 1 t and 1 q?
5/68
Two letters picked without replacement from {t: 2, d: 1, m: 1, b: 14, k: 2}. Give prob of picking 2 b.
91/190
Two letters picked without replacement from chhhcqhchcqhq. Give prob of picking 2 q.
1/26
Four letters picked without replacement from cvvcvccvvvvvvvvcvvc. What is prob of picking 1 v and 3 c?
65/969
Calculate prob of picking 4 g when four letters picked without replacement from gdggggoggodogddoddg.
21/646
Four letters picked without replacement from {t: 2, o: 3, z: 8, l: 5, p: 1, e: 1}. What is prob of picking 1 z, 1 p, 1 o, and 1 t?
16/1615
Three letters picked without replacement from {u: 9, c: 3, e: 4}. Give prob of picking 2 u and 1 c.
27/140
Three letters picked without replacement from {s: 3, f: 1, t: 2, j: 1, z: 3, l: 1}. What is prob of picking 1 j and 2 t?
1/165
Two letters picked without replacement from {s: 6, c: 3, a: 3, x: 3}. Give prob of picking 1 s and 1 x.
6/35
Four letters picked without replacement from {t: 4, q: 5, h: 2, j: 2, r: 1}. What is prob of picking 2 j and 2 h?
1/1001
Calculate prob of picking 2 f and 1 e when three letters picked without replacement from {u: 5, f: 3, c: 1, e: 3}.
9/220
Two letters picked without replacement from {a: 2, h: 5, x: 1, l: 3, q: 6}. What is prob of picking 1 a and 1 h?
5/68
Two letters picked without replacement from ksuuzsuzzkkuzks. Give prob of picking 2 u.
2/35
Calculate prob of picking 2 q and 2 j when four letters picked without replacement from jbjqqjjjjqjjqqq.
4/
|
{
"pile_set_name": "DM Mathematics"
}
|
Sort 12, -2, -2/5, 2/3 in increasing order.
-2, -2/5, 2/3, 12
Put 92, -3, -5, -14 in descending order.
92, -3, -5, -14
Sort 7, 5, -5, -1.
-5, -1, 5, 7
Sort -28, 1/16, 2 in ascending order.
-28, 1/16, 2
Sort -0.16, 2, 5/12, -3.
-3, -0.16, 5/12, 2
Sort -3, 9, -64, -1.
-64, -3, -1, 9
Sort 0, 12, 5.
0, 5, 12
Put -24/5, -0.1, 0 in decreasing order.
0, -0.1, -24/5
Put -5, 7, 4, 8 in decreasing order.
8, 7, 4, -5
Put -4, -334, 5 in decreasing order.
5, -4, -334
Put -0.247, 1, 35 in increasing order.
-0.247, 1, 35
Sort -0.074, -0.4, 5 in increasing order.
-0.4, -0.074, 5
Put -6, 4, -191 in descending order.
4, -6, -191
Put 0.2, -0.3, -3, 2, 2/13 in decreasing order.
2, 0.2, 2/13, -0.3, -3
Sort 0, 0.15, -3/13, 5 in decreasing order.
5, 0.15, 0, -3/13
Sort 4, -5, -0.04, -0.4 in decreasing order.
4, -0.04, -0.4, -5
Sort 265, -1, -5, -4, -3 in increasing order.
-5, -4, -3, -1, 265
Sort 6, 27, -5 in increasing order.
-5, 6, 27
Put -4, 25, -5 in ascending order.
-5, -4, 25
Put 2, -5, -2, -13/7, 4 in decreasing order.
4, 2, -13/7, -2, -5
Sort 3, 1, 1091 in descending order.
1091, 3, 1
Sort 5, 3, -2/355 in ascending order.
-2/355, 3, 5
Sort -85, 1, -7, -1, 0 in decreasing order.
1, 0, -1, -7, -85
Sort 3, -10, -5, -1, 11 in descending order.
11, 3, -1, -5, -10
Put 1, -3/4, -116 in increasing order.
-116, -3/4, 1
Put 12, 81, 1, 4 in increasing order.
1, 4, 12, 81
Put -2, -2/7, 75 in ascending order.
-2, -2/7, 75
Sort -2, -0.067, -17.
-17, -2, -0.067
Sort 3, -85, -18.
-85, -18, 3
Sort -11, -345, -0.5 in decreasing order.
-0.5, -11, -345
Put 5, -4, 38, -1 in decreasing order.
38, 5, -1, -4
Put 6, 18, -3, -1, 1 in decreasing order.
18, 6, 1, -1, -3
Put 5, 1, 0, -7 in increasing order.
-7, 0, 1, 5
Sort -29, 4, 0, -6 in descending order.
4, 0, -6, -29
Sort 14, -4, 9, -39 in decreasing order.
14, 9, -4, -39
Sort -4, 5, -2/13, 0.5, -55 in ascending order.
-55, -4, -2/13, 0.5, 5
Sort 6, 3, -41, 5 in descending order.
6, 5, 3, -41
Sort -1, 4, -28/9 in ascending order.
-28/9, -1, 4
Sort 3, -186, -2, 4 in ascending order.
-186, -2, 3, 4
Sort 0.1, 0.04, -1, 1/2 in increasing order.
-1, 0.04, 0.1, 1/2
Sort 0.2, -0.2, 0.3, 0.4, 3 in ascending order.
-0.2, 0.2, 0.3, 0.4, 3
Put 0, -1, 5, 1, 3 in descending order.
5, 3, 1, 0, -1
Sort -2, -0.5, -0.04, 3.
-2, -0.5, -0.04, 3
Sort 93, -7, -5.
-7, -5, 93
Put 5/4, -1/2, 1/7, 1/9, -0.3 in decreasing order.
5/4, 1/7, 1/9, -0.3, -1/2
Sort -0.5, -7, -22, -4 in increasing order.
-22, -7, -4, -0.5
Put 6, 2, 3, 5 in decreasing order.
6, 5, 3, 2
Put 4, 3, -3, 13, 6 in decreasing order.
13, 6, 4, 3, -3
Sort 65, 1/5, -3/7 in decreasing order.
65, 1/5, -3/7
Sort 6, -0.3, -871 in increasing order.
-871, -0.3, 6
Sort -415, 2, -3, -10 in descending order.
2, -3, -10, -415
Put 3, -4, -2/95 in decreasing order.
3, -2/95, -4
Sort -2, -141, -1.
-141, -2, -1
Sort -0.6, 0.2, -81, -0.1 in decreasing order.
0.2, -0.1, -0.6, -81
Put 4, 3, 2, -3, -2 in descending order.
4, 3, 2, -2, -3
Sort 24, 0, -5, -4 in decreasing order.
24, 0, -4, -5
Put -4, 18, -10, -2, -5 in decreasing order.
18, -2, -4, -5, -10
Put -0.2, 2/73, 0.4, 1/8 in decreasing order.
0.4, 1/8, 2/73, -0.2
Sort 0, 82, -3, -2, -4 in decreasing order.
82, 0, -2, -3, -4
Put -2, -6, -166 in decreasing order.
-2, -6, -166
Put 806, -0.5, -4, 2 in ascending order.
-4, -0.5, 2, 806
Sort -5, -3, 3 in decreasing order.
3, -3, -5
Put 3, -1524, 4, -1 in ascending order.
-1524, -1, 3, 4
Sort -3, -2/23, 0.07, -2/5 in decreasing order.
0.07, -2/23, -2/5, -3
Sort -4, -587, 3, 2 in ascending order.
-587, -4, 2, 3
Put -1, 1.6, -6/13 in ascending order.
-1, -6/13, 1.6
Put 1/5, -1, 0, -0.0564 in ascending order.
-1, -0.0564, 0, 1/5
Sort 50, -58, 2, -3.
-58, -3, 2, 50
Sort 4, -6, 1/8, 0.04, 105.
-6, 0.04, 1/8, 4, 105
Sort 5, 0, -10 in decreasing order.
5, 0, -10
Sort -464, 0, -1, 3 in descending order.
3, 0, -1, -464
Sort -0.29, -1, -3/5, -0.32 in ascending order.
-1, -3/5, -0.32, -0.29
Sort -0.029, 12/7, -1 in descending order.
12/7, -0.029, -1
Put 1, -0.4, 29, 13/6 in ascending order.
-0.4, 1, 13/
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*u + s - 26 = 0. Is z + 6 + (u - -9) a multiple of 5?
False
Let f(v) = -25*v - 7. Does 21 divide f(-7)?
True
Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)?
True
Suppose 5 = 5*z, -138 = 4*w + 3*z + 95. Let v = w + 159. Is 11 a factor of v?
False
Let n = 19 + -9. Let t be -7*1*(-19)/133. Is n/(t + (-12)/16) a multiple of 12?
False
Suppose -3*m = 0, 3*j + 2*m - m + 513 = 0. Let u = -53 - j. Suppose 86 = w + w + 4*q, 5*q + u = 3*w. Is w a multiple of 14?
False
Suppose -7*y + 3*y = -12. Let i = y + -2. Does 3 divide i/(-2)*-6 + 4?
False
Let i(m) = -8*m - 5. Let t be i(7). Let r = t - -126. Is 25 a factor of r?
False
Let j(s) = 7*s**3 - 9*s**2 - 40*s + 29. Let r(y) = -3*y**3 + 5*y**2 + 20*y - 14. Let x(d) = 2*j(d) + 5*r(d). Is x(9) a multiple of 6?
True
Suppose -2*i - k + 62 = 0, -3*i + k + 82 = -3*k. Let n = i + 29. Is (n + 3)/(0 - -2) a multiple of 8?
False
Let s = 16 + -19. Let m be -4 - (2 - (s + 2)). Let d(t) = t**2 - 3*t - 10. Does 22 divide d(m)?
False
Suppose 6*z + 3*z = 414. Let a = 93 - z. Is 13 a factor of a?
False
Let z(k) = -456*k - 169. Is z(-7) a multiple of 88?
False
Let h = 40 - 36. Suppose 4*r - 7*j - 432 = -3*j, -2*r - h*j = -216. Suppose r = 6*v - 738. Is 27 a factor of v?
False
Let i = 1747 - 893. Is 7 a factor of i?
True
Let z(t) = -t**3 - 8*t**2 + 31*t - 44. Does 32 divide z(-12)?
True
Let u(z) = 551 - 552 - 37*z + 2*z. Is u(-3) a multiple of 26?
True
Suppose 5 = -7*s + 2*s. Let i be 24*s*(-9)/6. Let g = 57 - i. Is g a multiple of 6?
False
Let q = -56 - -64. Is (-4*q/(-32))/((-2)/(-228)) a multiple of 15?
False
Let n(o) = 10*o**2 - o. Suppose -3*j = -3*h, -2*h + h - 2 = j. Let z be n(h). Suppose 2*y - 49 = -5*u, -4*y + 5*u + z = -12. Is 12 a factor of y?
True
Let v(n) = n**3 + 9*n**2 + 7*n - 1. Let x be v(-8). Suppose 0*s - 4*s + x = -3*d, 0 = -5*d + 2*s - 7. Is 11 a factor of 4 + d - -16 - -3?
True
Let r(s) = s**3 - 5*s**2 + 2*s - 5. Let q be r(5). Suppose -2*m + q*x + 18 = -m, 2*x - 6 = -4*m. Suppose 44 = m*w + 14. Is 10 a factor of w?
True
Let s be (-6)/(-9) + (-770)/(-6). Does 5 divide s/4 - (15/12 + -1)?
False
Let c(x) = 3*x - 10. Let y be c(4). Suppose 10 = 5*m + 5*k, y*m + k = 4*k + 14. Suppose -292 + 40 = -m*i. Is 13 a factor of i?
False
Suppose 3*b - 55 = 2*b. Let a(o) = -o**3 - 32*o**2 + 32*o + 62. Let v be a(-33). Let f = v - b. Does 10 divide f?
True
Suppose 122 = -5*h - 13. Let t = 101 + h. Suppose -t = -4*v + 22. Does 12 divide v?
True
Let l(n) = 1 - 6*n**2 + 3 - 5*n**2 + 20*n**2. Is 5 a factor of l(-3)?
True
Suppose 8*y + 38*y = 29808. Is 52 a factor of y?
False
Let a(x) = x**3 + 6*x**2 - 7*x - 11. Suppose 0 = 2*i - 2*l + 8, -2*i + l = 4*l + 13. Let b be a(i). Suppose -185 = -2*n + b. Is 32 a factor of n?
False
Let h(f) be the second derivative of f**3/6 + f**2 + f. Let z be h(-2). Suppose z = 2*o - o - 40. Does 8 divide o?
True
Suppose -14601 - 32355 = 13*m. Does 22 divide -2 + m/(-18) + 2/(-3)?
True
Is -3 + (-4)/(-6)*15147/18 a multiple of 6?
True
Let t(n) = n**3 - 13*n**2 + 12*n + 3. Let i be t(12). Suppose 0 = -y + 4, i*m + 0*m - 560 = -5*y. Does 18 divide m?
True
Let x(u) = -u**2 - 12*u + 15. Let l be x(-13). Suppose 179 = -l*w + w. Let g = w - -263. Is g a multiple of 23?
False
Suppose 0 = 4*l - 3*c - 21 - 38, 5*c - 15 = 0. Let y = -13 + l. Is (-3)/(2*y/(-40)) a multiple of 3?
True
Let g(c) = -c**2 + 18*c - 28. Let n be g(18). Let p = 36 + n. Is p a multiple of 3?
False
Does 10 divide 20748/60 - (-24)/20?
False
Let w(x) = x**3 - 11*x**2 - 14*x - 11. Let s be w(12). Let g = 59 + s. Does 24 divide g?
True
Let w = 701 + -632. Is 3 a factor of w?
True
Let g(y) = 5*y + 51. Is 29 a factor of g(-4)?
False
Let i = 1 + -15. Let w = -11 - i. Is 3 a factor of w?
True
Let t be -123*1/6*-10 - 1. Let n(h) = -108*h. Let m be n(1). Let w = m + t. Is w a multiple of 25?
False
Let k(b) = -2*b - 3*b + 12*b - 1. Let v be (-424)/(-56) - 7 - (-24)/7. Does 12 divide k(v)?
False
Suppose 267 = z - 0*z. Suppose -3*q - 240 = z. Is 14 a factor of q/(-4) + (-2)/8?
True
Let p = -7 - -10. Let o = -12 + 19. Suppose -p*n + 97 = o. Is 11 a factor of n?
False
Suppose -18*k = -16*k - 500. Suppose -52 = 2*v - k. Is 33 a factor of v?
True
Let m(x) = 2*x**2 - 33*x + 75. Does 3 divide m(15)?
True
Let j(d) = 24*d**2 - 32*d + 144. Is 51 a factor of j(6)?
True
Let s = 17 + -5. Let q = s + 13. Let z = q + 20. Is z a multiple of 15?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
)*-5)**2*4.
300
Simplify (sqrt(60)/(sqrt(120)/(sqrt(10) - (sqrt(40)/sqrt(4) - sqrt(10)))))**2.
5
Simplify -2 + (sqrt(11) + -2)*-3.
-3*sqrt(11) + 4
Simplify sqrt(17)*-1 + 5 - (sqrt(68) + sqrt(17) - sqrt(17))*-4.
5 + 7*sqrt(17)
Simplify (((sqrt(156) + (sqrt(156) - -1*sqrt(156)))*-3 - sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))/(6*sqrt(24)/sqrt(2)).
-3*sqrt(13)/2
Simplify (sqrt(2) + (-1*sqrt(2)*-2)**2)*3.
3*sqrt(2) + 24
Simplify -6*sqrt(448)*1.
-48*sqrt(7)
Simplify ((sqrt(130) + 6*(sqrt(130) + sqrt(130)*-5))/sqrt(10))**2.
6877
Simplify -1*(sqrt(204)*-4)/sqrt(12)*3.
12*sqrt(17)
Simplify sqrt(88)/(6*-1*sqrt(8)).
-sqrt(11)/6
Simplify sqrt(49)/(sqrt(7) - sqrt(700)*1).
-sqrt(7)/9
Simplify 2 + (sqrt(35)/sqrt(5)*1 - (sqrt(1008) + 2)).
-11*sqrt(7)
Simplify (sqrt(117) - (sqrt(117)*2 - sqrt(117))*5 - sqrt(117))/(sqrt(81)*-1) + -1.
-1 + 5*sqrt(13)/3
Simplify sqrt(192) - (sqrt(12) + 0 - sqrt(12)).
8*sqrt(3)
Simplify (sqrt(91) - (1*sqrt(91) - sqrt(91))*-6)/(sqrt(175) - -2*sqrt(175) - sqrt(175)).
sqrt(13)/10
Simplify (-1*sqrt(1800) - sqrt(1800))/(sqrt(42)/sqrt(63)).
-60*sqrt(3)
Simplify sqrt(2299) - (-3 + (sqrt(2299)*1)**2).
-2296 + 11*sqrt(19)
Simplify ((-5*(sqrt(170) + 1*sqrt(170)) + sqrt(170) + sqrt(170))/(sqrt(50)/sqrt(5)*6 - sqrt(10)))**2.
1088/25
Simplify ((sqrt(294)*-2 + sqrt(294) + sqrt(294))/(sqrt(48)/sqrt(6)))**2.
0
Simplify (4 + sqrt(1584) + -1)**2.
72*sqrt(11) + 1593
Simplify (sqrt(1300) - ((sqrt(1300) + -2)*-2 - sqrt(1300)))**2.
-320*sqrt(13) + 20816
Simplify (6*(-1 + sqrt(117) - sqrt(117) - sqrt(117)))**2 + 0.
216*sqrt(13) + 4248
Simplify (sqrt(136)/(sqrt(8) - sqrt(512)*-1))**2.
17/81
Simplify (((sqrt(252) - sqrt(7)) + 4)*-2)**2.
160*sqrt(7) + 764
Simplify (sqrt(35) + (sqrt(875) + sqrt(35))*5)/((-3*sqrt(15)/sqrt(3) - sqrt(5)) + sqrt(5)).
-31*sqrt(7)/3
Simplify (2*sqrt(245) + 1 - (4 + (sqrt(245) - (-2 + sqrt(245)))))**2.
-140*sqrt(5) + 1005
Simplify ((sqrt(432) - sqrt(432)*-1)**2 - sqrt(3)) + sqrt(120)/sqrt(10).
sqrt(3) + 1728
Simplify (sqrt(2) - (sqrt(50)*2 + sqrt(50)))*6.
-84*sqrt(2)
Simplify ((sqrt(34)/(sqrt(8)/sqrt(4)))**2 - sqrt(17) - sqrt(17)) + sqrt(17) + 3.
-sqrt(17) + 20
Simplify sqrt(2736)*1 + 1 + sqrt(1900).
1 + 22*sqrt(19)
Simplify (sqrt(2) + (sqrt(2) - sqrt(8)*-4))**2 + (sqrt(12)/sqrt(2))/sqrt(3).
sqrt(2) + 200
Simplify (sqrt(45)/(sqrt(36)/sqrt(4))*-1)**2.
5
Simplify sqrt(567) + -4 + sqrt(567) + -5.
-9 + 18*sqrt(7)
Simplify 2*(sqrt(11) + sqrt(33)/sqrt(3)) + 1.
1 + 4*sqrt(11)
Simplify ((-2 + sqrt(700))*-4)**2.
-640*sqrt(7) + 11264
Simplify ((sqrt(140) + 2*sqrt(140))/sqrt(10))/(sqrt(24)/sqrt(108)).
9*sqrt(7)
Simplify (3 + 0 + sqrt(242))*-2.
-22*sqrt(2) - 6
Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*1))*-3)/(2*1*sqrt(12)).
3*sqrt(17)/2
Simplify -2 + sqrt(60)/(sqrt(12) + sqrt(108) + sqrt(12)) + sqrt(5).
-2 + 6*sqrt(5)/5
Simplify (-3 + sqrt(7) + sqrt(7) + (sqrt(7) - -4*sqrt(7)*-1))*-4.
4*sqrt(7) + 12
Simplify -1*sqrt(24)/(-2*sqrt(588)).
sqrt(2)/14
Simplify sqrt(63)*2 + 3 + (1 + sqrt(7))**2.
11 + 8*sqrt(7)
Simplify sqrt(171) + 1 + 5 - 2*(sqrt(76) + -1).
-sqrt(19) + 8
Simplify (0 + -4 + sqrt(2))**2 - (-2*sqrt(18))/sqrt(9).
-6*sqrt(2) + 18
Simplify -5 + (sqrt(128)/sqrt(4) - sqrt(32))**2 + 4.
-1
Simplify ((sqrt(13) - sqrt(117)/(sqrt(9) + sqrt(27)/sqrt(3))) + 4*sqrt(1872))**2.
122317/4
Simplify (2 + sqrt(45))**2*6.
72*sqrt(5) + 294
Simplify -5*(sqrt(2299)*-1 + 3)**2.
-11540 + 330*sqrt(19)
Simplify ((sqrt(891) - (0 + sqrt(891))) + -3)**2 - -4*(sqrt(891) + -1).
5 + 36*sqrt(11)
Simplify 1 + (3*(sqrt(204)*3 - sqrt(204)) + sqrt(204) - sqrt(204))/sqrt(12).
1 + 6*sqrt(17)
Simplify ((sqrt(117) + sqrt(117) + -3 - sqrt(117)) + sqrt(117))**2 + (sqrt(1300) + 5)**2.
64*sqrt(13) + 1802
Simplify -2*(sqrt(1100) + (sqrt(1100) + 2 - sqrt(1100) - sqrt(1100)))*-2.
8
Simplify sqrt(15)/((sqrt(180)/sqrt(6))/sqrt(10)).
sqrt(5)
Simplify 4 + (sqrt(13) + (sqrt(13) + (sqrt(52) + 4 - sqrt(13)) + sqrt(13))**2 - sqrt(52)*4).
17*sqrt(13) + 137
Simplify (sqrt(112) + (-1*sqrt(112) + sqrt(112))*2 - (sqrt(112) + 1 + 3))**2.
16
Simplify ((sqrt(220)/sqrt(5) - sqrt(44))*-2)/sqrt(4) + 5.
5
Simplify 1*(sqrt(171) + sqrt(19))*5 + 0.
20*sqrt(19)
Simplify ((-1*sqrt(360) - sqrt(360))/sqrt(9) + sqrt(40))/(1*sqrt(128)).
-sqrt(5)/4
Simplify (sqrt(14)/((-1*sqrt(847) - sqrt(847)) + sqrt(7)))**2.
2/441
Simplify ((-3*-2*sqrt(187) - sqrt(187))/(-1*sqrt(22)/sqrt(2)))**2.
425
Simplify (-2*sqrt(30)/(sqrt(60)/(sqrt(100)/sqrt(10))))**2.
20
Simplify (sqrt(320)/sqrt(4))**2 + (sqrt(5) + sqrt(5) + 5*sqrt(10)/sqrt(2))**2.
325
Simplify ((sqrt(24) - sqrt(864) - sqrt(24))/sqrt(12) - (sqrt(2) + (sqrt(2) - 6*sqrt(98))))**
|
{
"pile_set_name": "DM Mathematics"
}
|
is the units digit of n?
6
Let i = -6 + 0. Let k(n) = n**2 + 4*n - 7. Let d be k(i). Let l = 9 - d. What is the units digit of l?
4
Let a(p) = -p**3 + 4*p**2 + 4*p + 5. Suppose q - 3 = 2. Let f be a(q). Suppose 6 = 3*t - f. What is the units digit of t?
2
Let z = 1219 - 782. What is the hundreds digit of z?
4
Let w = -2 - -5. Let l = 3 - w. Suppose -n - y + 13 = l, 1 = -n - 4*y + 11. What is the tens digit of n?
1
Suppose 24 = -2*a + 42. What is the units digit of a?
9
Let k(w) = 3*w - 4. What is the units digit of k(2)?
2
Let q be 12/30 + 396/10. Suppose 7 = l + 3. Suppose l*p - 46 = -2*d, -5*p + q = -5*d + 4*d. What is the units digit of p?
9
Let u(s) = 4*s - 5. What is the tens digit of u(12)?
4
Let m(i) = i**3 + 2*i**2 - 5*i - 2. Let y be m(-3). Let k be (-62)/12 - y/(-24). Let r(f) = f**3 + 4*f**2 - 8*f - 4. What is the units digit of r(k)?
1
Suppose 2*i - 82 = -0*i. What is the units digit of i?
1
Suppose -y = -4*i + 3, -3 = -3*i + y - 2. Suppose i*r + 50 = 5*h, -5*h + 2*h + 4*r = -44. Let x = -1 + h. What is the units digit of x?
7
Let p(k) = k**2 - 4*k + 2. Let o be (21/(-4) + 3)*-4. Suppose j - 2*y - o = 1, 4*j - 3*y = 25. What is the units digit of p(j)?
2
Let m be 3/(-3)*(-2)/2. Let k be (-1 + m)/(-5 + 6). Suppose -4*r + 5*z - 17 = k, -2*r + r - 4*z + 22 = 0. What is the units digit of r?
2
Let j(u) = 11*u**2 + u - 2. What is the tens digit of j(1)?
1
Suppose 0*f - 6 = 2*f. Suppose -5*z = b + 14, -b + 0*z + 4*z + 13 = 0. What is the units digit of (b/f)/(1/(-6))?
2
Let l(d) = -d**2 - d + 2. Let s be l(-2). Suppose s*y + 2*y = 14. What is the units digit of y?
7
Suppose 20 = -5*c, c = 5*j - 4 - 5. Let s be 5*(1/5 + -1). Let k = j - s. What is the units digit of k?
5
Suppose k - 171 = -3*k - 5*t, 220 = 5*k + 5*t. Suppose -q = -4*z + 2, 3*q - 2*z + z = k. What is the tens digit of q?
1
Let d(y) = y**2 - 3*y - 2. Let n be d(4). Suppose -5*o + 77 = z, -4*o - 8 + 66 = n*z. What is the tens digit of o?
1
Suppose -2*b = -2*r + 18, -4*r + 2 = 3*b + 1. What is the units digit of r + -1*(-1)/1?
5
What is the hundreds digit of 28/49 + 3516/21?
1
Suppose 11*d - 4*d - 1386 = 0. What is the tens digit of d?
9
What is the hundreds digit of 152 - ((-4)/(-1) + -3)?
1
Let h(q) = -q + 10. Let u be h(8). Let t(c) = c + 5. Let g be t(-6). Let y = u + g. What is the units digit of y?
1
Let l be (-24)/(-16)*4/(-3). What is the units digit of ((-4)/(-10))/(l/(-40))?
8
Suppose -4 = 4*f, 3*t + 3*f + 2*f + 35 = 0. Let h(b) = -b**2 - 13*b - 8. What is the tens digit of h(t)?
2
Let u be -186*(3 - (-14)/(-4)). Let n = -65 + u. What is the units digit of n?
8
Suppose 2 + 40 = 3*l. What is the tens digit of l?
1
Let f(h) = 25*h + 1. What is the units digit of f(3)?
6
Let x(g) = -g**3 + 4*g**2 - g + 3. Let j be x(4). Let n = j - -3. What is the units digit of n?
2
What is the units digit of (-3 + (-68)/(-20))*10?
4
Suppose 6*z - 2*z - 16 = 0. Suppose z = -j - 6. What is the units digit of (0 - 3)/(-3) - j?
1
What is the hundreds digit of -3*1/(-2)*4648/21?
3
Let n be (-2 + 1)*(1 + -2). Let u be (3 - 2)*(1 - n). Suppose 0 = 3*d - 6, -2*k - 2*d - 1 + 15 = u. What is the units digit of k?
5
Let r = 40 + -16. Suppose 3*n = m + 9 - 1, 3*n + 3*m = r. What is the tens digit of (-428)/(-20) - n/10?
2
Let g(s) = -s**2 + 50. Let l be g(0). What is the units digit of (-1)/((-2)/l*1)?
5
Let j = -7 - -8. Suppose 0 = -v + 11 + j. What is the tens digit of v?
1
Let h be (3 - (4 + 1)) + 6. What is the tens digit of 1/4*10*h?
1
Suppose -1 = -b + 2. What is the units digit of 4/2*(b - -1)?
8
Let h(a) be the third derivative of -a**5/60 - a**4/8 + a**3/3 - a**2. Suppose 2*u - 3*s = 9, 4*u + 5*s = 19 - 56. What is the units digit of h(u)?
2
Let w(d) = -4 + 1 + 9*d + 12 + d**2. Let c be w(-8). Suppose 4*t - 5*i = 43, t + i + i - c = 0. What is the units digit of t?
7
Let w(s) = s + 7. Let k be w(-7). Suppose 2*j + 3*j + 19 = x, -2*x + 5*j + 18 = k. What is the units digit of ((-6)/2)/(x/3)?
9
Let p = 21 - 12. Suppose -p - 1 = -5*q. Suppose -7 = -q*v + z - 1, z + 15 = 5*v. What is the units digit of v?
3
What is the hundreds digit of 290 + (36/126 - (-46)/(-14))?
2
Let x(k) = -3*k**3 + 4*k**2 - 2*k - 5. What is the units digit of x(-3)?
8
Suppose -b + 0*b = -o + 4, -31 = -4*o - b. Let i = -2 + o. Suppose i*q = 40 - 5. What is the units digit of q?
7
Let f(j) = -j**3 + 10*j**2 - 12*j. Let h be f(8). Let c = h - 6. What is the units digit of c?
6
Let b = 148 - -207. Suppose 103 = -2*f + b. What is the units digit of ((-9)/27)/((-2)/f)?
1
Let t(u) = -8*u - 4. Let m be t(-4). Let h = m + -20. What is the units digit of h?
8
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2*x - 20. Let g(v) = -3*c(v) - 5*q(v). Is 5 a factor of g(5)?
True
Does 37 divide 3/(-1*3*(-1)/74)?
True
Suppose 5*a + 10 = 10*a. Suppose a*r = r + 114. Is 19 a factor of r?
True
Is (-3734)/(-18) - 32/72 a multiple of 9?
True
Let h(l) = -4*l**2 - 8*l + 6*l**2 + 8 - 3*l**2 + 2*l**2. Is 8 a factor of h(8)?
True
Does 67 divide (-16)/(-72) - 20246/(-18)?
False
Suppose 2*t + 3*i = 1297, -1 - 2 = 3*i. Is 12 a factor of t?
False
Let c(q) = -4*q**3 + 4*q**2 + 4*q - 17. Let b(u) = -2*u**3 + 2*u**2 + 2*u - 9. Let g(j) = 7*b(j) - 4*c(j). Is 30 a factor of g(3)?
False
Let j be (-2)/(((-4)/(-6))/((-8)/6)). Suppose -r = 4*i - 36, -2*i - r - j + 22 = 0. Is 9 a factor of i?
True
Suppose 5*q - 108 = 117. Suppose 162 - 8 = 14*l. Let v = q + l. Is v a multiple of 7?
True
Let k(i) = -12*i**3 - i**2 - 3*i + 1. Let f(d) = -35*d**3 - 3*d**2 - 8*d + 3. Let w(y) = 4*f(y) - 11*k(y). Is 13 a factor of w(-2)?
False
Let l(c) = -2*c. Let h be l(3). Let i(t) = 40*t**3 - 3*t**2 + 17*t - 30. Let x be i(2). Is x/h*1/(-4) a multiple of 13?
True
Let n be (-21)/(-14)*(1 + 1). Suppose -2*q - n*w + 23 = 0, 51 = 4*q - 4*w + 5*w. Is q a multiple of 5?
False
Let u(y) = 7*y - 13. Let i(z) = -6*z**2 - 3*z + 9. Let a(o) = -11*o**2 - 6*o + 18. Let l(c) = -4*a(c) + 7*i(c). Let j be l(-4). Does 11 divide u(j)?
False
Let v(x) = -x**3 + 2*x**2 + 3*x + 3. Let k be v(3). Let y(r) = 18*r + 3. Let f(j) = -8*j - 1. Let b(a) = -10*f(a) - 4*y(a). Does 6 divide b(k)?
False
Let k = -82 - -87. Suppose -k*h + 555 = -450. Is 20 a factor of h?
False
Does 13 divide (376/6)/((-8)/(-12))?
False
Suppose l = 3*c - 770, -c + l = -5*c + 1029. Is 19 a factor of c?
False
Suppose -6*a + 8670 = 4*g - 7*a, 5*g + a = 10833. Is 11 a factor of g?
True
Let p(z) = -13*z + 16*z + 0*z. Is p(10) a multiple of 11?
False
Let n be (-6)/(-4)*(-160)/(-15). Let q(z) = -3*z + 16*z**3 - n + 9*z**2 - 17*z**3 + 2*z. Does 20 divide q(8)?
True
Suppose -10*q - 2284 = -7544. Does 87 divide q?
False
Let n be ((-18)/5)/(2/(-5)). Suppose -n*y + 8 = -5*y. Suppose i = y, 0*u + 2*i = -3*u + 193. Does 21 divide u?
True
Suppose 5*h + 5*t = -1375, h + 4*h - 4*t = -1357. Does 33 divide h/14*(-26)/3?
False
Suppose 2*w + 23 = -3*l - 0*w, w = -l - 7. Is 6 a factor of (-153)/l - (0 - 1)?
True
Let a = 14 - 6. Suppose a*d - 560 = 4*d. Is 9 a factor of d?
False
Let o(z) = 2*z**2 + 3*z - 8. Let q be (-3 + 2)*7/((-35)/(-50)). Is 27 a factor of o(q)?
True
Suppose -h - 4 + 1 = r, 4*r + 3 = -h. Let t = r - -13. Does 13 divide t?
True
Let m = -733 - -1041. Is 4 a factor of m?
True
Let q(d) = 94*d**2 - 1. Let w be q(-1). Suppose 2*p - w = -p. Let b = p + -11. Is b a multiple of 6?
False
Let d(q) = q**2 + 14*q + 17. Let h be d(-13). Suppose -5*p - 78 = 4*f - 1413, 0 = -h*f + p + 1365. Suppose -2*w = 2*w - f. Does 16 divide w?
False
Suppose -4*b + 12 = 0, -5*z - 3*b + 1055 + 1329 = 0. Is z a multiple of 20?
False
Suppose 0 = 5*v + 10, 6*r - 4*r + 5*v = -18. Let p = 36 - r. Is p a multiple of 3?
False
Let l = 0 + -2. Suppose -10 = 2*g - 3*g - 3*s, 0 = 2*s + 4. Let x = g - l. Is 6 a factor of x?
True
Let i = -220 + 426. Is i a multiple of 3?
False
Let s = 298 + -268. Is 7 a factor of s?
False
Suppose -187 = -8*y + 37. Does 14 divide y?
True
Suppose 11*y = 3*u + 7*y - 40, 5*y = -20. Let c(w) = -w**3 + 11*w**2 - w + 26. Is 32 a factor of c(u)?
False
Suppose 3*w = 135 + 243. Suppose 11*h - w = -3*h. Does 2 divide h?
False
Let b = -46 + 51. Suppose -2*w - t = -237, -t + 594 = b*w + t. Is w a multiple of 40?
True
Is -2760*(1/(-5))/((-22)/(-44)) a multiple of 48?
True
Let c(j) = -j**3 + 5*j**2 + 3*j + 5. Let k be c(7). Let x = -47 - k. Does 14 divide x?
False
Let x = -5 + 79. Let y = x + -25. Is 2 a factor of y?
False
Let o(i) = 41*i**2 - 5*i. Suppose -5*w + 9 = 2*m, -2*m + w + 1 = -2. Is 14 a factor of o(m)?
True
Suppose 2*j - 3*n = 105, 2*j + 0*n = -3*n + 87. Suppose 4*g + j = 2*s, 2*s - 3*g = -0*g + 45. Does 9 divide s?
True
Suppose 0 = 6*q - 24*q + 3456. Is 13 a factor of q?
False
Let t(l) = 2*l**2 + 4*l - 90. Is t(-10) a multiple of 46?
False
Suppose -4*c + 938 + 462 = 0. Does 10 divide c?
True
Suppose 25 = 5*k, 63 = -2*z + 4*k + 765. Is z a multiple of 16?
False
Let y = 5 + -3. Suppose 0 = -3*m + y*c + 82, -m - c = -11 - 8. Is m a multiple of 12?
True
Suppose 6*h - 430 - 272 = 0. Is h a multiple of 51?
False
Suppose 3*r = -2*m - 0*m + 93, -227 = -5*m - 2*r.
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 7, a = -4*f + 3*j + 13. Calculate the remainder when 18 is divided by f.
2
Let h(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n**2 - 8*n + 20. Let r be h(7). Let f = 14 - r. What is the remainder when 72 is divided by f?
12
Let z(f) = 5*f**2 - 678*f - 254. Suppose 0*h - 2191 = -4*h - 5*y, -5*h + 2760 = 2*y. Calculate the remainder when h is divided by z(136).
14
Calculate the remainder when ((-64)/(-180) - (-4)/120*-4)*2259 is divided by 14.
12
Let v(f) = f + 3 + 0 - 5*f. Let c(h) = -h**3 - 48*h**2 + 2*h + 92. Let y be c(-48). What is the remainder when v(y) is divided by 11?
8
Suppose 1745 - 5077 = -17*w. Let t = w - 133. What is the remainder when t is divided by 11?
8
Suppose 4*s - 117 + 29 = 0. Let o = -610 - -719. Calculate the remainder when o is divided by s.
21
Suppose -983 = -2*s - 3*b, -5*s + 49*b - 48*b + 2432 = 0. What is the remainder when s is divided by 92?
27
Suppose -5*u = 3*f - 1303, -13*u - 21 = -10*u. What is the remainder when f is divided by 197?
52
Suppose 0 = 39*a - 114*a + 1601 - 626. Let v = 170 - 95. Calculate the remainder when v is divided by a.
10
Suppose 0 = -125*p + 176*p - 7497. Calculate the remainder when 1174 is divided by p.
145
Suppose -123*q - 25944 = -147*q. Calculate the remainder when q is divided by 277.
250
Let m = -66 + 306. Suppose -5*r = -r - m. What is the remainder when 299 is divided by r?
59
What is the remainder when 599 is divided by (-33)/(4488/(-119))*48/2?
11
Suppose -37*w - 3*d = -39*w + 1275, 0 = 3*w + 4*d - 1972. What is the remainder when w is divided by 65?
63
Let q(b) = -b + 195. Let p be q(30). Let f = p - 87. What is the remainder when f is divided by 3?
0
Let i = -4690 - -4713. What is the remainder when 1838 is divided by i?
21
Let h(d) = -d**2 + 9. Let m be h(2). Suppose -58 = -m*z + 32. Calculate the remainder when 50 is divided by z.
14
Let u(a) = -2*a**3 - 8*a**2 - 52*a - 320. What is the remainder when u(-6) is divided by 46?
44
Let r = -450 + 505. Let c = 2 + r. What is the remainder when 340 is divided by c?
55
Let m = -403 + 128. Let d = 331 + m. What is the remainder when d is divided by 41?
15
Let a(t) = -6*t**2 - 18*t + 47. Let k be a(-10). Let p = k - -399. Calculate the remainder when 285 is divided by p.
25
Let x(t) = t**3 + 2*t**2 + 2. Suppose 37*j = 33*j - 44, -4*z - 2*j + 690 = 0. What is the remainder when z is divided by x(3)?
37
Let v = 944 - 897. Calculate the remainder when 1499 is divided by v.
42
Suppose 14*d = -10*d + 20*d + 328. Calculate the remainder when 94 is divided by d.
12
Suppose o = 9*v - 14*v - 12, -v = -4*o + 57. Suppose o*r = 15*r - 10. What is the remainder when r is divided by 3?
2
Let l be (6104/(-16))/((-6)/24). What is the remainder when l/4 + (-9)/(-2) + -3 is divided by 43?
39
Suppose -350*u + 395*u - 5220 = 0. What is the remainder when 809 is divided by u?
113
Let c be 146/511 - (2 + 248/(-14)). Suppose -c = 103*g - 105*g. What is the remainder when 71 is divided by g?
7
Let t(x) = 117*x - 84. Let l be t(3). Suppose l = 7*u - 790. Calculate the remainder when u is divided by 38.
37
Suppose 4*l + 2*c - 770 = 3*c, -3*l + 5*c = -586. Suppose 5*x - 270 = -20. Calculate the remainder when l is divided by x.
42
Let o = 12 - -10. Suppose -122*x = -120*x - 2996. Suppose x = c + 13*c. Calculate the remainder when c is divided by o.
19
Let s = 378 - 151. Let f = s + 16. What is the remainder when f is divided by 31?
26
Let s(l) = 3*l - 4. Suppose 4*t + 4*r = 6*t - 548, 810 = 3*t - 2*r. Suppose -19*y - 97 = -t. Calculate the remainder when y is divided by s(3).
4
Suppose -605 = 3*l - 911. Calculate the remainder when l is divided by 13.
11
Let a(z) = 49*z + 108. Let v be a(-6). What is the remainder when 4*v/(-24) + 3 + -5 is divided by 1?
0
Calculate the remainder when 621 is divided by 1086/(14 + -8) + -13.
117
Let y = -149 + 145. Let m(b) = -b + 32. Calculate the remainder when m(y) is divided by 13.
10
Suppose -y + 4*y = 3*f + 1152, -3*y + f + 1154 = 0. Let s = 388 - y. Calculate the remainder when 18 is divided by s.
0
Let l(b) = -5*b + 3. Let i(z) = 2*z + 19. Let v be ((180/42)/(1/7))/2. What is the remainder when i(v) is divided by l(-2)?
10
Let g = 3687 + -3309. Calculate the remainder when g is divided by 64.
58
Let d = 3931 - 3843. What is the remainder when 3342 is divided by d?
86
Let h be (0 - (-12)/14)/((-5)/(-35)). Suppose 2*b - 10 = h. What is the remainder when 64 is divided by b?
0
Let t = 14 + -22. Suppose 2*n = -4*v + n + 44, -n = 4. What is the remainder when ((-2)/1 - -4)*(-116)/t is divided by v?
5
Suppose s = -3*l - 1, 5*s + 2*l + 10 = 31. Let d = 21 + -12. Suppose -d = -y + 2. Calculate the remainder when y is divided by s.
1
Suppose 0 = 1200*h - 1184*h - 176. Calculate the remainder when 713 is divided by h.
9
Let u(d) = -53*d**2 + 294*d - 47. Suppose -37 = 2*q - 137. What is the remainder when u(5) is divided by q?
48
Let v = -274 - -59. Let j = -174 - v. What is the remainder when 78 is divided by j?
37
Let q = -24825 - -26966. Calculate the remainder when q is divided by 43.
34
Suppose 0 = -4*q + 94*q - 223200. Calculate the remainder when q is divided by 11.
5
Suppose -4*f - 5*h = -878, -4*h + 0*h + 8 = 0. What is the remainder when f is divided by (37/148 - (-4)/(16/147)) + 7?
41
Let a be (6*10/(-60))/(1/(-31)). Suppose 0*q + 2*q - 12 = -h, -2*h = -3*q - a. Suppose -13 - 79 = -4*z. Calculate the remainder when z is divided by h.
9
Let b = 15 + 15. Let f(v
|
{
"pile_set_name": "DM Mathematics"
}
|
1/2))/h*h)**(10/7) assuming h is positive.
h**(-31/63)
Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive.
h**(10027/75)
Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive.
h**(17893/280)
Simplify ((i**(-1/3))**(-48))**(-29)*((i/i**(9/4))/i**0)**15 assuming i is positive.
i**(-1931/4)
Simplify ((k/k**(-1)*k)**(-35))**(-2)/(k*(k*k**(1/4))/k*k*k*k*k**(1/5)/k)**(4/31) assuming k is positive.
k**(32481/155)
Simplify ((t/(t/(t**(2/7)*t)))/(t/((t**(2/25)/t)/t)*t*t))**(-36)/((t/t**5*t*t)/(t/t**(2/17))*(t**(-1/4)*t)**(-45)) assuming t is positive.
t**(1992853/11900)
Simplify (q**0/q)**16/(q**(-2/3))**(-4/17)*(q**(-6)/(q*q/q**(3/7)))/((q**(-1/4)/q)/(q*q*q/(((q*q**(-3/4)/q)/q)/q)*q)) assuming q is positive.
q**(-5615/357)
Simplify (o**5/(o*o*o/o**4))**(2/27)*o**(-3)*o**(-3/4)*(o/(o**1*o)*o)**39 assuming o is positive.
o**(-119/36)
Simplify (p**(-2)/((p/(p/p**(2/7)*p))/p))**(4/25)/((p*p**(-1/2)/p)**(-1/27)/(p**(1/3))**(2/29)) assuming p is positive.
p**(-11303/274050)
Simplify (((m**(-2/5)*m)/m*m)**(-1/2)*(m*m**5)/m**(-1/4))/((m/((m/(m**(-5)*m*m)*m)/m)*m*m**(-2/11))/(m**1)**(-43)) assuming m is positive.
m**(-7671/220)
Simplify ((w**(-2/5)*(w**(5/6)*w)/w)**(27/2))**(-42) assuming w is positive.
w**(-2457/10)
Simplify ((w*w/(w/w**4))/(w/(w**(-1)/w))*w*w**(-2/5)*w*w*w/w**(-1/5))/((w*w/w**4*w**(-2)*w)/(w**5/(w**(-2)*w*w))) assuming w is positive.
w**(69/5)
Simplify (((w/w**(-1/6))/(w*w**(-13)/w))/(w*w**(2/9))**24)**(3/8) assuming w is positive.
w**(-91/16)
Simplify ((n*n**(1/3)/n)**(-8/11)/(n**20*n**(-10)))**(-5/8) assuming n is positive.
n**(845/132)
Simplify ((j**(2/5)/j**(-4))/(j*j**(-2/17)*j*(j**5/j)/j))/((j**(-1)/j)/(j/(j**(1/8)*j))*(j/j**(2/7))**30) assuming j is positive.
j**(-95371/4760)
Simplify (((t/(t*t*t**2))/t)**(4/11))**(-15/4)*(t**(2/3))**(23/2)/((t*t**5)/(t*t/t**(5/6))) assuming t is positive.
t**(547/66)
Simplify (((y**(2/5)*y)**9*(y/((y**6/y)/y))/(y/(((y*y/(y/(y*y/y**(-3/4))))/y)/y)))**(-41))**16 assuming y is positive.
y**(-33948/5)
Simplify ((((w/w**(-7))/(w/(w/w**(1/14))))**38)**(-43))**(-39) assuming w is positive.
w**(3536793/7)
Simplify ((f**(2/17)/f)**0/(f*(f*f**(-6)*f*f)/f*f*f)**(1/5))**48 assuming f is positive.
f**(48/5)
Simplify ((l**0)**29*l*l/((l*l**(-2/3))/l)*l*l*l**(1/5))/((l**(-2/3))**(-9))**(-6/7) assuming l is positive.
l**(1051/105)
Simplify ((w*w**(2/5))/w*w**(-1/3))/((w/((w/w**6)/w))/(((w*w**1)/w*w)/w))*(w**(2/9)/w*w/(w*(w/w**0)/w*w*w))**(-3/5) assuming w is positive.
w**(-64/15)
Simplify (w*w*w**(-2/25)*w*w*w*w/((w*w**(-1/8))/w)*w/(w*w/((w/(w/(w/(w*w**(-2/13)*w))))/w*w))*w/(w/(w**(-4)/w)))**(-12/7) assuming w is positive.
w**(6249/4550)
Simplify (o**(-2/27)*o/(o**(-2/3)*o*o*o))**(-47)*(o/((o/((o**(-4/9)*o)/o))/o*o)*o**2)/(o**(3/5)/o*o**(-5)/o) assuming o is positive.
o**(10004/135)
Simplify ((s**(1/37)*s**24)**3)**1 assuming s is positive.
s**(2667/37)
Simplify ((w**(2/5)*w)**(-1/6))**25/((w**3)**(2/77))**49 assuming w is positive.
w**(-637/66)
Simplify ((r**(-1/2)*r/(r*r**(3/8)))/((r/r**(-1))/r**(1/2)))/((r*r**(2/7)/r)/r**(-5/3)*r*r**(-1)*r**(5/4)) assuming r is positive.
r**(-937/168)
Simplify ((((t/(t/(t/(t**1/t))))/t)/t)**8/(t**0/t**(-1/6)))/(t**(2/15)*t*(t**(2/9)*t*t)/t*(t/(t*t**(-1)))**34) assuming t is positive.
t**(-4007/90)
Simplify (n**(-7/3))**(2/11)*(n*n**(-39))/(n**29*n) assuming n is positive.
n**(-2258/33)
Simplify ((l**(-9))**(-46)/((l*l**(3/4)*l)/(l*l**(-36/11)*l)))**(-22) assuming l is positive.
l**(-18039/2)
Simplify ((u/(u*u*u**(1/3)*u*u)*u**(-7))/(u**7*u*u*u**(-4/7)*u))**2 assuming u is positive.
u**(-830/21)
Simplify ((((p**5*p)/p)/p)/(p/((p*p/(((p*p/(p/p**8*p)*p)/p)/p*p))/p)))**(3/26)/((p/(p/(p*p/p**(-1/5)*p)))/p**1*p**(-2/9)/p**(-2/5)) assuming p is positive.
p**(-1661/585)
Simplify ((l/(l*l**1))**49)**(-1/13)*(l**(1/6)/l**(2/11))/(l**(2/37)*l*l**(-4/5)) assuming l is positive.
l**(555559/158730)
Simplify (u**2)**50/((u/(u/(u/((u/(u**(3/5)/u)*u)/u*u))))/(u*u*u**(1/2)*u))*((u**1)**29)**(2/39) assuming u is positive.
u**(41491/390)
Simplify v/(v*v**(-2/3))*v*v**5*v*v*(v/(v/(v*v*v/v**(-1))*v)*v)**(1/11)*(((v*(v/(v**0/v))/v*v)/v)**(-28))**24 assuming v is positive.
v**(-44054/33)
Simplify ((n**(-38/5)*n**(-25)/n*n)**(2/123
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v.
0
Let v(g) = -3*g - 6. Let j be v(-4). Solve -j*o = -3*o + 15 for o.
-5
Let i be -2 + 0 - (3 + -1). Let d be i/(-2 + 4/3). Suppose 3 = 5*p - 7. Solve w = -p*w + d for w.
2
Let r be 4/(12/(-15)) + 2. Let f be ((-2)/3)/(2/(-3)). Let a = f - r. Solve 0 = -a*k + 2 + 2 for k.
1
Let u be 11/((-1)/(-1) + 0). Let t = u + -6. Solve t*h - 8 + 33 = 0 for h.
-5
Suppose 1 = -2*z - 1. Let l be (z/3)/((-1)/15). Solve l*a + 3 = 8 for a.
1
Suppose -2*y - 1 + 5 = 0. Solve -y*j - 9 = -1 for j.
-4
Suppose 0 = t, 2*r - 1 - 1 = 5*t. Solve -9 + r = 4*z for z.
-2
Suppose -4*a = 0, 0*u + 4*a + 10 = 5*u. Solve 0 = -0*r - u*r - 2 for r.
-1
Let r = 19 - 17. Solve 0 = -g - r*g + 3 for g.
1
Let z = 7 - 7. Suppose z = -3*h + 5 - 8. Let p = 2 - h. Solve 0 = -v + p*v for v.
0
Let i(a) = 7*a - 1. Let t be i(1). Suppose -t*h - 1 = -7*h. Suppose -5*k - 3 = -3*y + 2, 3*y = -4*k - 4. Solve -d + y = h for d.
-1
Let d(n) = n**3 + 6*n**2 + 4*n + 3. Let j be d(-5). Suppose -19 = -16*t + 61. Solve 0 = -3*p + t*p - j for p.
4
Let i(f) = 8 + 4*f**2 + 7*f + 0*f**2 - 2*f - 3*f**2. Let s be i(-6). Solve 5*l + s - 34 = 0 for l.
4
Suppose -4*x + 186 = 26. Suppose x + 0 = 4*s. Solve s = 4*r - 2 for r.
3
Let b = -50 + 51. Suppose -2*w = -2*k + 6, -w - 17 = -3*k - 8. Solve -k*i + 2 = -b for i.
1
Let w(g) = -g**3 + 12*g**2 - 11*g + 2. Let i(v) = v**3 - 7*v**2 + 7*v + 5. Let d be i(6). Let m be w(d). Let t = -13 + 14. Solve t - 3 = m*r for r.
-1
Let z(x) = -x - 6. Let k be z(-6). Solve -3*s + 6 + 0 = k for s.
2
Suppose -2*s = 2*s + 12, -5*g - 12 = 4*s. Solve g*t - 15 = 3*t for t.
-5
Let r(m) = m + 4. Let x be r(-2). Let d(h) = -3*h - 4. Let z be d(-3). Suppose 2*f = 3*i - x + 9, 5*i = -z*f + 30. Solve 0*q = q + i for q.
-1
Suppose 0 = -0*i + 2*i. Suppose i*w + 4 = 2*w. Solve w*h = 1 + 7 for h.
4
Suppose 8 - 28 = -5*c. Suppose c*s - h + 6*h = 0, -5*h = 0. Solve s = t + t + 2 for t.
-1
Let f be 21/24 - (-3)/24. Solve -2 = -t - f for t.
1
Suppose q - 3*r - 6 = 0, 12 = -0*q + 2*q - 3*r. Let d = 2 + -4. Let v be d/2*-1 - -1. Solve -q = -v*m - m for m.
2
Let y be 0/((-3)/(12/8)). Solve y*n + 15 = -5*n for n.
-3
Let s = -10 - -16. Let j(b) = -b + 10. Let u be j(0). Let x = u - s. Solve r + 12 = x*r for r.
4
Suppose 0*c = 5*c. Solve c = 4*o - 4 - 0 for o.
1
Let j(u) = -u. Let m be j(-2). Suppose -11 + 51 = m*h. Solve 0 = -0*f - 4*f + h for f.
5
Let s be 2/(-6) - 280/(-12). Let d = s + -20. Solve 0*b + 3 = d*b for b.
1
Let k be 10*(-10)/(-25) - -2. Solve -2*g + k*g - 8 = 0 for g.
2
Suppose -11*s + 13*s = 10. Solve 2 = -s*u + 7 for u.
1
Let f = -72 + 72. Solve -3*g + f*g + 3 = 0 for g.
1
Let v be 9 - (25/(-5) + 10). Let d = 2 + -2. Solve v*j + d*j = 20 for j.
5
Suppose 2*d = 7 - 5. Let w be -1 + (1 - (-1 - d)). Solve -w*j - 2*j + 20 = 0 for j.
5
Let w(m) = -m**3 + m + 4. Suppose 5*n + 15 = -3*z, 5*n + 2*z - 7*z = 25. Let f be w(n). Solve -f*u + 0 = 20 for u.
-5
Suppose -3*c + 5*g = 29, g = c + 4*c + 19. Let n = -9 - c. Let h be (-12)/(-7) + n/(-21). Solve -h*b - 2 = -8 for b.
3
Let v(g) = g**2 - 2*g + 1. Let x be v(3). Let o(f) = 3*f + 3. Let k(d) = -7*d - 6. Let z(n) = 2*k(n) + 5*o(n). Let y be z(x). Solve 2*a - y*a = 0 for a.
0
Let u = -44 + 48. Solve -34 = -u*g - 14 for g.
5
Suppose 3*c + 2*j = 7*c - 10, -2*c = 2*j - 8. Let v(f) = -f**2 - 2*f + 1. Let r be v(-3). Let l be (6/(-15))/(r/20). Solve l*y + 3 = c*y for y.
-3
Suppose -4*u - 9 - 9 = -5*q, -2*u = -q + 6. Let p(h) = -h**3 + 8*h**2 + 2*h - 11. Let f be p(8). Solve 8 = -f*w - q for w.
-2
Let g(j) = j**3 + 5*j**2 + 1. Suppose -5*a = -0*y - y + 10, 0 = -2*y - 4*a - 22. Let o be g(y). Solve -11 - o = -4*u for u.
3
Suppose 0*b - 3*b + 48 = 0. Solve -5*x = -x - b for x.
4
Let x(o) = 6*o - 38. Let n be x(7). Solve n*d = 5*d + 5 for d.
-5
Let d = -1 + 3. Suppose l + l = 4*p - 6, 0 = -5*p + 15. Suppose 5*c = 2*c + 4*k + 56, 2*c - 39 = l*k. Solve -2*j = d*j + c for j.
-3
Suppose -2 = g - 2*g. Let x(s) = 0*s**2 + 5*s
|
{
"pile_set_name": "DM Mathematics"
}
|
e next term in 149, 1247, 4239, 10073, 19697, 34059, 54107, 80789?
115053
What is the next term in -7, -5, -3, -1, 1, 3?
5
What is the next term in -67980, -135960, -203938, -271914, -339888?
-407860
What comes next: 46, -55, -334, -881, -1786, -3139, -5030, -7549?
-10786
What comes next: -6813, -6844, -6923, -7074, -7321, -7688?
-8199
What is the next term in -22, -91, -210, -397, -670, -1047, -1546, -2185?
-2982
What comes next: -756, -600, -350, -12, 408, 904?
1470
What is next in 2271, 2216, 2125, 1998, 1835?
1636
What comes next: -70834, -70836, -70838, -70840, -70842, -70844?
-70846
What is the next term in -20326, -81301, -182924, -325195, -508114?
-731681
What comes next: 46321, 185292, 416913, 741184?
1158105
What is next in -22, 595, 1764, 3491, 5782?
8643
What is the next term in 13, -2, -33, -74, -119, -162?
-197
What comes next: -76, -326, -832, -1666, -2900?
-4606
What is the next term in -358, -442, -524, -604, -682, -758?
-832
What is the next term in 1187, 2409, 3643, 4895, 6171, 7477?
8819
What is next in -4588, -9175, -13764, -18355, -22948?
-27543
What comes next: -143735, -143733, -143719, -143687, -143631, -143545?
-143423
What is the next term in -122, -452, -1000, -1766?
-2750
What is next in 292, 327, 354, 367, 360, 327?
262
What is next in 850, 934, 1032, 1150, 1294?
1470
What is next in -2941, -2943, -2941, -2935, -2925, -2911, -2893?
-2871
What is next in 29485, 29463, 29415, 29329, 29193, 28995?
28723
What is the next term in -2199, -4617, -7035, -9453, -11871?
-14289
What comes next: -20, 95, 594, 1729, 3752, 6915, 11470?
17669
What is next in -945, -1891, -2843, -3801, -4765, -5735, -6711?
-7693
What comes next: 5367, 5338, 5289, 5220, 5131, 5022, 4893?
4744
What comes next: 458, 427, 372, 293, 190, 63?
-88
What is the next term in 6950, 6922, 6884, 6842, 6802, 6770?
6752
What is next in -2940, -5874, -8808, -11742, -14676, -17610?
-20544
What comes next: 1728, 6952, 15654, 27828, 43468, 62568, 85122?
111124
What is the next term in 189, 225, 287, 375, 489, 629, 795?
987
What comes next: -2933, -2942, -2973, -3038, -3149?
-3318
What is next in -345, -854, -1363, -1872, -2381, -2890?
-3399
What is next in 2815, 2822, 2757, 2584, 2267?
1770
What comes next: 582, 963, 1344?
1725
What comes next: 475615, 475620, 475629, 475642, 475659?
475680
What is next in -155137, -155147, -155157, -155167, -155177?
-155187
What is the next term in -10914, -21827, -32736, -43641?
-54542
What is the next term in 796, 1348, 1900?
2452
What comes next: 114, 156, 282, 534, 954, 1584?
2466
What is the next term in -82, -272, -586, -1024, -1586?
-2272
What is the next term in 118402, 236821, 355240, 473659, 592078, 710497?
828916
What is next in -1339, -2679, -4019?
-5359
What is next in 31664, 126688, 285070, 506810, 791908, 1140364?
1552178
What is the next term in 1989, 16094, 54381, 128940, 251861?
435234
What is the next term in -706, -696, -706, -736, -786?
-856
What comes next: 195, 1328, 4361, 10242, 19919, 34340, 54453, 81206?
115547
What comes next: -4117, -4094, -4071, -4048, -4025, -4002?
-3979
What is next in 292, 2717, 9294, 22099, 43208, 74697, 118642?
177119
What comes next: 226, 490, 750, 1006?
1258
What is the next term in -11845, -23682, -35515, -47344, -59169?
-70990
What is next in -48, -373, -924, -1707, -2728, -3993, -5508, -7279?
-9312
What comes next: 204, 580, 1314, 2586, 4576?
7464
What is next in -2120, -2418, -2700, -2960, -3192, -3390, -3548?
-3660
What is next in 5709, 5686, 5627, 5514, 5329, 5054?
4671
What is next in -6151, -6061, -5971?
-5881
What is the next term in -321, -515, -705, -885, -1049, -1191?
-1305
What is next in -299, -2409, -8133, -19277, -37647, -65049?
-103289
What comes next: -457713, -457714, -457715, -457716, -457717?
-457718
What comes next: 588, 652, 738, 852, 1000?
1188
What is the next term in -411, -854, -1309, -1782, -2279, -2806, -3369, -3974?
-4627
What is next in -5235, -5241, -5247, -5253, -5259?
-5265
What is next in 59, 100, 173, 278, 415?
584
What is the next term in 192, 423, 668, 933, 1224?
1547
What is the next term in -23113, -23110, -23105, -23098, -23089?
-23078
What comes next: 497, 489, 477, 461, 441, 417?
389
What is next in -754, -1474, -2170, -2836, -3466, -4054, -4594, -5080?
-5506
What is next in -3206, -6429, -9652?
-12875
What comes next: 196, 837, 1904, 3397, 5316?
7661
What is the next term in 153, 317, 459, 573, 653?
693
What comes next: -482248, -482244, -482240, -482236?
-482232
What is the next term in 60, 309, 762, 1425, 2304, 3405?
4734
What is next in -132, -463, -1290,
|
{
"pile_set_name": "DM Mathematics"
}
|
hours.
0.0000000016021395
What is three eighths of a gram in milligrams?
375
How many millilitres are there in fourty-four fifths of a litre?
8800
How many kilograms are there in 3/8 of a tonne?
375
How many minutes are there in twenty-three sixths of a day?
5520
Convert 578355.2 tonnes to nanograms.
578355200000000000000
What is three tenths of a litre in millilitres?
300
Convert 9827.873ml to litres.
9.827873
What is thirty-one fifths of a hour in minutes?
372
Convert 2185.952 days to milliseconds.
188866252800
Convert 0.2278835 nanograms to micrograms.
0.0002278835
What is 95.11627 kilograms in micrograms?
95116270000
How many years are there in nine tenths of a millennium?
900
Convert 70268.6l to millilitres.
70268600
Convert 128789.8 millilitres to litres.
128.7898
How many minutes are there in seven thirds of a week?
23520
How many decades are there in 575853.2 millennia?
57585320
What is 72771.57ng in tonnes?
0.00000000007277157
How many litres are there in 1.31142ml?
0.00131142
Convert 9420.163 decades to years.
94201.63
What is 833.314 millennia in years?
833314
How many minutes are there in thirty-one fifths of a week?
62496
What is 643.3906um in kilometers?
0.0000006433906
How many microseconds are there in 0.1717921ns?
0.0001717921
How many millilitres are there in 5/8 of a litre?
625
How many millimeters are there in 43/4 of a meter?
10750
How many seconds are there in 3/25 of a day?
10368
What is 4.467718kg in tonnes?
0.004467718
How many millennia are there in 2708125.8 months?
225.67715
Convert 9658.81 grams to milligrams.
9658810
How many milligrams are there in 15/4 of a gram?
3750
Convert 71.665 hours to milliseconds.
257994000
How many years are there in 131713.6 millennia?
131713600
What is thirteen fifths of a litre in millilitres?
2600
What is 27519.06 centuries in decades?
275190.6
What is 549043.3s in microseconds?
549043300000
How many kilograms are there in nine tenths of a tonne?
900
Convert 0.0471486 centuries to decades.
0.471486
Convert 112488.3 nanoseconds to hours.
0.00000003124675
How many milliseconds are there in 0.0711649 hours?
256193.64
What is seven quarters of a centimeter in micrometers?
17500
What is 79.34241kg in micrograms?
79342410000
How many grams are there in 0.170756 micrograms?
0.000000170756
How many microseconds are there in 59909.54 weeks?
36233289792000000
How many decades are there in thirty-seven fifths of a century?
74
How many millilitres are there in 1/20 of a litre?
50
What is five quarters of a year in months?
15
What is 99520.37 kilograms in micrograms?
99520370000000
What is 43/3 of a hour in minutes?
860
How many minutes are there in 4658.721 days?
6708558.24
What is fifteen quarters of a millennium in years?
3750
What is 1/30 of a century in months?
40
How many millilitres are there in 55.43007 litres?
55430.07
What is 72.50437 tonnes in nanograms?
72504370000000000
What is 3/50 of a micrometer in nanometers?
60
What is nineteen quarters of a litre in millilitres?
4750
How many years are there in 10.818492 months?
0.901541
How many nanograms are there in 60.75661mg?
60756610
How many centimeters are there in 0.4896473 millimeters?
0.04896473
What is 4/3 of a millennium in months?
16000
Convert 2830.103l to millilitres.
2830103
How many months are there in fourty-eight fifths of a century?
11520
What is 43558.89mg in kilograms?
0.04355889
How many tonnes are there in 73.75074 milligrams?
0.00000007375074
What is 2.216265 months in decades?
0.018468875
What is 23/3 of a hour in seconds?
27600
How many nanometers are there in 15.49353um?
15493.53
Convert 3.669901 kilometers to nanometers.
3669901000000
What is 0.7353301ng in tonnes?
0.0000000000000007353301
How many minutes are there in ten sevenths of a week?
14400
What is 5/24 of a hour in seconds?
750
How many litres are there in 70.30235 millilitres?
0.07030235
What is 184.8564ng in tonnes?
0.0000000000001848564
What is 40.85322ml in litres?
0.04085322
What is 427304.3 decades in millennia?
4273.043
How many millilitres are there in 33/5 of a litre?
6600
How many centimeters are there in 0.936933m?
93.6933
Convert 0.737292cm to kilometers.
0.00000737292
How many nanoseconds are there in 29/5 of a microsecond?
5800
How many micrograms are there in 1/4 of a milligram?
250
What is 3/10 of a milligram in micrograms?
300
What is six fifths of a meter in millimeters?
1200
How many kilograms are there in 25/8 of a tonne?
3125
How many micrometers are there in 7/25 of a millimeter?
280
How many seconds are there in three tenths of a day?
25920
Convert 73754.18 centuries to years.
7375418
How many nanoseconds are there in three fifths of a microsecond?
600
How many minutes are there in 59.58774s?
0.993129
What is 8709.735us in seconds?
0.008709735
What is 1/5 of a century in years?
20
What is 1/6 of a hour in minutes?
10
What is 6.288792 litres in millilitres?
6288.792
What is fourty-nine quarters of a tonne in kilograms?
12250
How many nanograms are there in seven halves of a microgram?
3500
What is twenty-nine halves of a millennium in decades?
1450
How many minutes are there in 7/2 of a week?
35280
What is 3/32 of a kilogram in milligrams?
93750
What is one fifth of a hour in minutes?
12
How many minutes are there in fifty-one quarters of a hour?
765
How many years are there in twenty-one halves of a decade?
105
Convert 49.24793 hours to seconds.
177292.548
How many hours are there in 25/4 of a day?
150
What is 815.2913 grams in tonnes?
0.0008152913
How many micrograms are there in 1/16 of a gram?
62500
How many kilograms are there in 47/4 of a tonne?
11750
What is eighteen fifths of a kilometer in meters?
3600
How many millilitres are there in 53542.94 litres?
53542940
How many centimeters are there in fifty-one quarters of a meter?
1275
Convert 0.7591235m to millimeters.
759.1235
How many micrograms are there in three fifths of a milligram?
600
What is five quarters of a millennium in years?
1250
How many millilitres are there in 6/5 of a litre?
1200
What is eighty-seven halves of a millennium in centuries?
435
What is 8628.916 litres in millilitres?
8628916
What is 143.5897kg in nanograms?
143589700000000
How many years are there in 30.47144 millennia?
30471.44
What is ten thirds of a hour in minutes?
200
What is 68.1338kg in milligrams?
68133800
What is 23718.85 millennia in centuries?
237188.5
What is seven halves of a century in years?
350
What is 7651.464 centuries in years?
765
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from {k: 3}.
1
Calculate prob of sequence kkgd when four letters picked without replacement from gdgdkdkggggggddddg.
7/4080
Two letters picked without replacement from pppppp. Give prob of sequence pp.
1
Three letters picked without replacement from {i: 4, b: 1, s: 3}. Give prob of sequence sss.
1/56
Calculate prob of sequence ormo when four letters picked without replacement from ormmor.
1/45
Calculate prob of sequence kvee when four letters picked without replacement from ikvkvekevkkk.
1/330
What is prob of sequence jj when two letters picked without replacement from {m: 9, j: 10}?
5/19
Calculate prob of sequence oo when two letters picked without replacement from {n: 1, o: 7}.
3/4
Two letters picked without replacement from {c: 3, p: 3, j: 6, t: 2, g: 1}. What is prob of sequence gj?
1/35
Four letters picked without replacement from bbfhrmmyrfrhbbyfhbm. Give prob of sequence mbfb.
5/2584
Calculate prob of sequence nunf when four letters picked without replacement from qnnunfqnqnfqn.
1/286
Three letters picked without replacement from mbnn. What is prob of sequence mnn?
1/12
Three letters picked without replacement from {c: 7, x: 4}. What is prob of sequence ccc?
7/33
What is prob of sequence yev when three letters picked without replacement from veivfveeiiyyyiiveiye?
2/171
Three letters picked without replacement from wwwxmwwmxwwwwxxx. Give prob of sequence xmw.
3/112
Calculate prob of sequence jdn when three letters picked without replacement from {d: 2, o: 2, n: 8, j: 2}.
4/273
Two letters picked without replacement from azagz. What is prob of sequence zz?
1/10
Calculate prob of sequence zk when two letters picked without replacement from zvxvzvvklzzvzlkz.
1/20
Calculate prob of sequence ia when two letters picked without replacement from {a: 2, n: 1, i: 1, s: 2, p: 2}.
1/28
Calculate prob of sequence atat when four letters picked without replacement from atta.
1/6
Calculate prob of sequence bv when two letters picked without replacement from {l: 1, x: 2, v: 2, b: 1, i: 1}.
1/21
Three letters picked without replacement from {f: 1, i: 1, d: 3, c: 2, z: 4, y: 4}. What is prob of sequence dzi?
2/455
What is prob of sequence cooc when four letters picked without replacement from noorrorcrvncrtc?
1/910
Two letters picked without replacement from nknatav. Give prob of sequence aa.
1/21
What is prob of sequence esj when three letters picked without replacement from {b: 2, s: 2, j: 3, e: 2}?
1/42
Four letters picked without replacement from {l: 6, z: 1, q: 1, i: 9}. Give prob of sequence zliq.
9/9520
Two letters picked without replacement from yyyggwywzzgwgygjg. What is prob of sequence zw?
3/136
What is prob of sequence vv when two letters picked without replacement from fffurvuvnnfrr?
1/78
Two letters picked without replacement from {x: 11, l: 1}. What is prob of sequence lx?
1/12
Three letters picked without replacement from {d: 3, r: 2, y: 6, h: 2, t: 2, c: 2}. What is prob of sequence yry?
1/68
Four letters picked without replacement from eeeeeeeee. What is prob of sequence eeee?
1
Calculate prob of sequence qd when two letters picked without replacement from dddqdqqdqqdqd.
7/26
Calculate prob of sequence uu when two letters picked without replacement from {m: 3, u: 9}.
6/11
Four letters picked without replacement from rnrnrzrzrnrzrrzz. Give prob of sequence rrzz.
1/39
Calculate prob of sequence pppp when four letters picked without replacement from {p: 6, e: 2, n: 4}.
1/33
Four letters picked without replacement from rlllrlllrlr. What is prob of sequence llrl?
7/66
Calculate prob of sequence gx when two letters picked without replacement from {g: 5, x: 2, n: 4}.
1/11
Calculate prob of sequence oaj when three letters picked without replacement from ovjaoooaaojoaj.
3/91
What is prob of sequence fhyy when four letters picked without replacement from {h: 3, f: 10, y: 4, z: 1}?
1/204
Calculate prob of sequence jpjp when four letters picked without replacement from jjjpjjpjjpj.
7/165
What is prob of sequence knkk when four letters picked without replacement from {n: 4, k: 14}?
91/765
Two letters picked without replacement from {g: 5, x: 1, o: 1, v: 2, k: 5, m: 1}. Give prob of sequence kk.
2/21
Two letters picked without replacement from bbzbbbzz. Give prob of sequence bz.
15/56
Four letters picked without replacement from {k: 15, q: 3}. What is prob of sequence kqqq?
1/816
What is prob of sequence zz when two letters picked without replacement from zzqzqzqqqzqz?
5/22
Two letters picked without replacement from hxhxxhuhhhxhhh. Give prob of sequence xu.
2/91
Two letters picked without replacement from {v: 2, j: 1, e: 2}. What is prob of sequence je?
1/10
Calculate prob of sequence vt when two letters picked without replacement from dtvvj.
1/10
Calculate prob of sequence oyo when three letters picked without replacement from oqyooyo.
4/35
Two letters picked without replacement from {g: 2, u: 8, y: 7, s: 2}. Give prob of sequence gg.
1/171
Four letters picked without replacement from {a: 4, p: 7, q: 5, j: 2, z: 2}. What is prob of sequence ajpz?
14/14535
Four letters picked without replacement from jhpyfjz. What is prob of sequence pzjy?
1/420
Calculate prob of sequence jdp when three letters picked without replacement from pdpjj.
1/15
Three letters picked without replacement from rhirhhivv. Give prob of sequence vvh.
1/84
What is prob of sequence yy when two letters picked without replacement from qqqzqyazywyw?
1/22
Two letters picked without replacement from eueeueueeee. Give prob of sequence uu.
3/55
What is prob of sequence vvc when three letters picked without replacement from {c: 3, v: 4}?
6/35
Two letters picked without replacement from {v: 1, f: 2, e: 1, q: 1, k: 1, h: 1}. What is prob of sequence hk?
1/42
What is prob of sequence xoov when four letters picked without replacement from {x: 4, v: 5, o: 5}?
50/3003
Three letters picked without replacement from {m: 2, k: 1}. What is prob of sequence mmk?
1/3
Two letters picked without replacement from kkvovovo. Give prob of sequence oo.
3/28
Calculate prob of sequence zl when two letters picked without replacement from {l: 3, t: 5, z: 3, b: 6}.
9/272
Two letters picked without replacement from {y: 1, x: 3}. What is prob of sequence yx?
1/4
Three letters picked without replacement from {q: 1, n: 13, m: 5, r: 1}. What is prob of sequence mrm?
1/342
Three letters picked without replacement from {b: 2, z: 4}. Give prob of sequence zzb.
1/5
What is prob of sequence wwo when three letters picked without replacement from wywoddyo?
1/84
Calculate prob of sequence men when three letters picked without replacement from smsen.
1/60
Two letters picked without replacement from {u: 5, h: 7}. Give prob of sequence hh.
7/22
Three letters picked without replacement from {n: 1, v: 2, c: 2, l: 1, h: 1}. What is prob of sequence nnc?
0
Two letters picked without replacement from hwwmw. What is prob of sequence w
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the remainder when 268863 is divided by 17924?
3
Calculate the remainder when 186670 is divided by 18667.
0
Calculate the remainder when 12515 is divided by 12449.
66
What is the remainder when 4987 is divided by 249?
7
Calculate the remainder when 46244 is divided by 670.
14
What is the remainder when 28043 is divided by 14013?
17
Calculate the remainder when 988 is divided by 110.
108
What is the remainder when 9325 is divided by 212?
209
Calculate the remainder when 1760 is divided by 673.
414
What is the remainder when 442647 is divided by 78?
75
What is the remainder when 1031079 is divided by 26?
23
What is the remainder when 69473 is divided by 281?
66
What is the remainder when 1562 is divided by 36?
14
What is the remainder when 81992 is divided by 90?
2
What is the remainder when 2440 is divided by 7?
4
Calculate the remainder when 10516 is divided by 811.
784
Calculate the remainder when 6113 is divided by 139.
136
What is the remainder when 1801 is divided by 16?
9
Calculate the remainder when 12630 is divided by 3131.
106
Calculate the remainder when 577145 is divided by 115427.
10
Calculate the remainder when 4121 is divided by 661.
155
What is the remainder when 310 is divided by 75?
10
What is the remainder when 49148 is divided by 68?
52
What is the remainder when 40197 is divided by 5024?
5
Calculate the remainder when 1534 is divided by 167.
31
Calculate the remainder when 1089551 is divided by 19.
15
Calculate the remainder when 643 is divided by 187.
82
Calculate the remainder when 115190 is divided by 263.
259
What is the remainder when 4303 is divided by 140?
103
What is the remainder when 1909 is divided by 230?
69
What is the remainder when 5335 is divided by 796?
559
Calculate the remainder when 951 is divided by 10.
1
Calculate the remainder when 6323 is divided by 631.
13
What is the remainder when 1001 is divided by 227?
93
Calculate the remainder when 14226 is divided by 339.
327
What is the remainder when 254753 is divided by 84913?
14
What is the remainder when 199936 is divided by 518?
506
Calculate the remainder when 5235 is divided by 750.
735
What is the remainder when 935 is divided by 441?
53
Calculate the remainder when 4914 is divided by 15.
9
What is the remainder when 90206 is divided by 645?
551
What is the remainder when 404711 is divided by 657?
656
What is the remainder when 1174 is divided by 999?
175
Calculate the remainder when 3111 is divided by 1242.
627
What is the remainder when 4412 is divided by 1393?
233
What is the remainder when 19398 is divided by 99?
93
Calculate the remainder when 26116 is divided by 9.
7
What is the remainder when 597073 is divided by 57?
55
What is the remainder when 2349 is divided by 28?
25
Calculate the remainder when 677715 is divided by 23.
20
Calculate the remainder when 461 is divided by 276.
185
Calculate the remainder when 2531 is divided by 26.
9
Calculate the remainder when 900247 is divided by 163.
161
What is the remainder when 3597 is divided by 1253?
1091
Calculate the remainder when 3119 is divided by 14.
11
What is the remainder when 325863 is divided by 325846?
17
What is the remainder when 44421 is divided by 133?
132
What is the remainder when 60892 is divided by 15208?
60
What is the remainder when 2635 is divided by 1247?
141
Calculate the remainder when 5855 is divided by 29.
26
Calculate the remainder when 382296 is divided by 53.
7
Calculate the remainder when 82201 is divided by 6.
1
What is the remainder when 17129 is divided by 2420?
189
Calculate the remainder when 42 is divided by 22.
20
What is the remainder when 143 is divided by 9?
8
What is the remainder when 11050 is divided by 736?
10
What is the remainder when 1256 is divided by 494?
268
Calculate the remainder when 79610 is divided by 15920.
10
Calculate the remainder when 5615 is divided by 5603.
12
Calculate the remainder when 1230 is divided by 881.
349
Calculate the remainder when 155809 is divided by 9737.
17
What is the remainder when 686877 is divided by 360?
357
Calculate the remainder when 117719 is divided by 626.
31
What is the remainder when 4740 is divided by 389?
72
Calculate the remainder when 2449 is divided by 53.
11
Calculate the remainder when 59242 is divided by 205.
202
Calculate the remainder when 2730 is divided by 396.
354
Calculate the remainder when 16804 is divided by 255.
229
What is the remainder when 36079 is divided by 60?
19
Calculate the remainder when 8866 is divided by 174.
166
Calculate the remainder when 1938 is divided by 387.
3
Calculate the remainder when 38305 is divided by 2128.
1
What is the remainder when 13936 is divided by 13880?
56
Calculate the remainder when 2826 is divided by 201.
12
What is the remainder when 573231 is divided by 573221?
10
What is the remainder when 1219 is divided by 766?
453
What is the remainder when 63054 is divided by 2425?
4
What is the remainder when 54528 is divided by 18174?
6
What is the remainder when 139044 is divided by 740?
664
What is the remainder when 167413 is divided by 83706?
1
Calculate the remainder when 958435 is divided by 28.
23
Calculate the remainder when 1203 is divided by 18.
15
What is the remainder when 2112096 is divided by 29?
26
What is the remainder when 1877 is divided by 926?
25
Calculate the remainder when 166313 is divided by 41577.
5
Calculate the remainder when 877 is divided by 266.
79
Calculate the remainder when 27345 is divided by 13605.
135
Calculate the remainder when 3069 is divided by 57.
48
What is the remainder when 36106 is divided by 16?
10
Calculate the remainder when 1564157 is divided by 69.
65
What is the remainder when 3797 is divided by 9?
8
What is the remainder when 186694 is divided by 38?
0
What is the remainder when 9577 is divided by 4786?
5
Calculate the remainder when 11791 is divided by 5857.
77
What is the remainder when 4952 is divided by 24?
8
Calculate the remainder when 437441 is divided by 218720.
1
Calculate the remainder when 12859 is divided by 143.
132
What is the remainder when 557 is divided by 20?
17
What is the remainder when 18005 is divided by 148?
97
Calculate the remainder when 328406 is divided by 72.
14
Calculate the remainder when 21649 is divided by 54.
49
Calculate the remainder when 52344 is divided by 29.
28
Calculate the remainder when 12927 is divided by 6463.
1
Calculate the remainder when 18178 is divided by 158.
8
What is the remainder when 49289 is divided by 498?
485
What is the remainder when 5122 is divided by 1671?
109
Calculate the remainder when 240254 is divided by 2204.
18
What is the remainder when 506160 is divided by 360?
0
What is the remainder when 7240 is divided by 13?
12
What is the remainder when 82047 is divided by 73?
68
Calculate the remainder when 534808 is divided by 133699.
12
Calculate the remainder when 250488 is divided by 370.
368
Calculate the remainder when 11936 is divided by 12.
8
Calculate the remainder when 568 is divided by 106.
38
What is the remainder when 53505 is divided by 139?
129
Calculate the remainder when 10659 is divided by 84.
75
What is the remainder when 31795 is divided by 997?
888
What is the remainder when 162432 is divided by 85?
82
Calculate the remainder when 6217 is divided by 22.
13
What is the remainder when 64564 is divided by 3?
1
Calculate the remainder when 1921 is divided by 100.
21
Calculate the remainder when 6282 is divided by 789.
759
What is the remainder when 28483 is divided by 185?
178
Calculate the remainder when 42238 is divided by 32.
30
Calculate the remainder when 80428 is divided by 383.
381
Calculate the remainder when 625 is divided by 107.
90
What is the remainder when 18946 is divided by 541?
11
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 840*k**2
What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m?
12*d**2*m**2 + 575352*d**2*m
Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o.
170880
Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h.
-6*h + 100632
What is the third derivative of -4242*i**3*j**3 - 11*i**3*z + i**2*j*z + 1846*j**3 wrt i?
-25452*j**3 - 66*z
Find the second derivative of -14*q**4 - 9*q**3 - 9*q**2 - 64409*q wrt q.
-168*q**2 - 54*q - 18
Find the second derivative of 50192*n**3 + 85752*n.
301152*n
Differentiate -3791230*g + 540942 wrt g.
-3791230
Find the third derivative of 2*a*f*k**3 + 16*a*f*k + 137*a*f - 4*a*k**3 + 4*a + 7171*f*k**3 + 8*k**3 - 4*k**2 + 3*k wrt k.
12*a*f - 24*a + 43026*f + 48
What is the first derivative of -2*y**3 + 107*y**2 + 264*y + 65619?
-6*y**2 + 214*y + 264
Find the third derivative of 26568*o**4 + 2*o**3 - 5*o**2 + 36501 wrt o.
637632*o + 12
Find the first derivative of 223021*u - 243331 wrt u.
223021
Differentiate 407337*m**2*o**4 + 6*m**2*o**2 - 2*m**2 - 3321034*m wrt o.
1629348*m**2*o**3 + 12*m**2*o
What is the second derivative of 4*o**4 + 5003*o**2 + 1410055*o wrt o?
48*o**2 + 10006
Find the second derivative of 8*d*f**2*g*v - 24*d*f**2*g - d*f*g*v**2 + 36*d*f*g*v - 14*f**2*g*v**2 + 50*g*v**2 - g wrt f.
16*d*g*v - 48*d*g - 28*g*v**2
What is the derivative of -3*k*w**3 - 204*k*w**2 - 394*k - 3*w**3 - 2*w**2 - 588*w - 92 wrt k?
-3*w**3 - 204*w**2 - 394
Find the first derivative of f*m*o - 152239*f*p**2 - 148*m*o*p**2 + 65*m*p + 2*o*p**2 + 2*p wrt f.
m*o - 152239*p**2
Find the second derivative of -k**3*x**2 - 2949*k**3*x + 4*k**2*x**3 - 1977*k*x**3 - 8*k*x**2 - 2*x**3 wrt k.
-6*k*x**2 - 17694*k*x + 8*x**3
What is the second derivative of 269*h**2*v**2 + 1573*h**2 - h*v**2 + 10*h - 203*v**2 - 8*v wrt h?
538*v**2 + 3146
Find the third derivative of j**2*w**3 - 299*j**2*w**2 - 9*j**2*w + 19593*w**6 - 12*w wrt w.
6*j**2 + 2351160*w**3
What is the first derivative of -904241*n - 891460?
-904241
Find the first derivative of 4347*k**4 - 11*k*q + 48076*q - 1 wrt k.
17388*k**3 - 11*q
Find the third derivative of 2316641*b**3 + 2426534*b**2.
13899846
What is the first derivative of 68741*b*v**2 + 171*v**2 - v + 84 wrt b?
68741*v**2
Differentiate 2*h*v**2 - 81587*h*v - 436097*h - 2*v**3 - 2*v with respect to v.
4*h*v - 81587*h - 6*v**2 - 2
Find the second derivative of -k**2*l**2*x + 26832*k**2*l*x - 45*k*l*x - 2*k*x + 2*l**2*x + 499*l*x wrt k.
-2*l**2*x + 53664*l*x
Find the second derivative of 404*b**2*q - 16*b**2 - 10552*b*q + b - 1 wrt b.
808*q - 32
Differentiate -5051247*f**3 - 664815 with respect to f.
-15153741*f**2
Find the second derivative of -137168*j**3 + 104189*j wrt j.
-823008*j
Differentiate 4213*v**2 - 3*v + 11536.
8426*v - 3
Find the second derivative of -101*f**5 - 4*f**3 - 2*f**2 + 14234*f + 2.
-2020*f**3 - 24*f - 4
Find the second derivative of -80763*l*r**2 - 296514*l*r + 2*l wrt r.
-161526*l
What is the third derivative of -3225*y**5 + 6*y**4 - 4*y**3 - 296873*y**2 wrt y?
-193500*y**2 + 144*y - 24
Differentiate -217297*c**2*i**2 + 53667*i**2 - 2 wrt c.
-434594*c*i**2
Find the third derivative of 235477*j**3 - 163713*j**2.
1412862
What is the third derivative of 102507*y**4 - 16*y**2 + 101*y - 11?
2460168*y
Find the second derivative of -225680*r**2 - 249004*r.
-451360
What is the third derivative of -2079*b**6*r - 760*b**4*r**3 + 67*b**2*r**3 + 28*b**2*r**2 + b + 2*r**2 - 154*r wrt b?
-249480*b**3*r - 18240*b*r**3
What is the first derivative of -2*l**2*m + 748877*l**2 - 3*l*m + 165*m wrt m?
-2*l**2 - 3*l + 165
Find the third derivative of 214488*w**3 + 123588*w**2 wrt w.
1286928
Differentiate 104479*t*x**2 - 3*t*x*y - 239*x**2 + 852*x*y wrt t.
104479*x**2 - 3*x*y
What is the first derivative of 2*f**2*u + 1128*f**2 + 11*f - 17053*u - 1 wrt f?
4*f*u + 2256*f + 11
Find the second derivative of -5003*d**2*k**3 + 32193*d**2*k + 3*d*k**3 wrt k.
-30018*d**2*k + 18*d*k
Find the first derivative of 118*c*o**3 - 1436659*c - 4280*o**3 wrt o.
354*c*o**2 - 12840*o**2
Differentiate 35*f*n**2 + 149*f*n*x + f*n + 3*f - 2*n**2*x + n*x + n + 105*x - 342 with respect to x.
149*f*n - 2*n**2 + n + 105
What is the third derivative of 171662*c**4 + 4*c**2 + c + 1656 wrt c?
|
{
"pile_set_name": "DM Mathematics"
}
|
be s(15). Suppose 6*r + 1314 = n. Round r to the nearest ten.
-140
Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps.
0.00016
Let f = 447.586 - 448. Let q = -0.41399668 - f. Round q to 6 dps.
0.000003
Suppose 2*v + 4501 = -5*z, 11*v - 10*v + 2288 = 5*z. Let h be -3 - (-1 + 3)/(2/v). Round h to the nearest 100.
2300
Let w = 25.0567 - 0.1667. Let y = w + -24.8898629. What is y rounded to 5 decimal places?
0.00014
Let a = -0.8106 + 1.01012. Round a to 2 decimal places.
0.2
Let g = 570950 + -352528. Suppose -4*t + 113780 = -4*o, -76192 = -5*o + 4*t - g. What is o rounded to the nearest one thousand?
-28000
Let u = 108606 - 108605.9065245. Let i = u + 33.9062145. Let n = -34 + i. Round n to four dps.
-0.0003
Let p = -323 - -483.8. Let l = p - 246.824. Let z = l - -86. Round z to 2 decimal places.
-0.02
Let v = 8.81918 + -0.10818. What is v rounded to 0 decimal places?
9
Suppose 298*j + 213027500 = 6*j + 57*j. What is j rounded to the nearest 100000?
-900000
Let m = -66.755 - -8.785. Let k = m + 6.37. Round k to the nearest ten.
-50
Let t = -10905.00018511 + 10905. Round t to 5 decimal places.
-0.00019
Suppose -2*w - 60937 = -w. Let b(j) = -16597*j + 564. Let n be b(-9). Let y = n + w. Round y to the nearest ten thousand.
90000
Suppose b - 4*n - 47067 + 9323 = 0, -3*b + 3*n = -113250. Suppose 637900 + b = -j. Let h = -349652 - j. What is h rounded to the nearest 10000?
330000
Let q = 8458 - 8458.0009374. What is q rounded to 4 decimal places?
-0.0009
Let q = 1793.7 - 14156.7. Let s = -12298.39 - q. Let o = s - 66. Round o to 1 decimal place.
-1.4
Let t = 2.4141 - 2.414103556. What is t rounded to five dps?
0
Let c = 0.73 + -0.729970425. Round c to 6 decimal places.
0.00003
Let g = 16794 - 16793.9999994389. Round g to six decimal places.
0.000001
Let z = 6.346 + -6.313944. What is z rounded to four decimal places?
0.0321
Let a = 129341.47 - 130067. What is a rounded to the nearest one hundred?
-700
Let z = -91996 - -91995.49099. Round z to 1 dp.
-0.5
Let l be 18060/1*4446000/(-1092). What is l rounded to the nearest 1000000?
-74000000
Let o = 4.68992835 + 0.60202625. Let d = o + 5.708046. Let u = d + -11. What is u rounded to six dps?
0.000001
Let i = -0.214217850752 - 107.085782596248. Let l = i - -107.3. What is l rounded to 7 dps?
-0.0000004
Let j = -119.42845 - 0.26155. Let c = -938.6 + 824. Let b = c - j. Round b to 1 decimal place.
5.1
Suppose 3*n = -r + 387 - 41, -350 = -r - n. Suppose 3*h - r = 173. Let b be (h/(-3))/(8/3936). Round b to the nearest one thousand.
-29000
Let r = -702 + 768.8. Let u = -54.95 + r. What is u rounded to the nearest integer?
12
Let n = 2158.124 + -2153. Let r = 5.1237859 - n. What is r rounded to five dps?
-0.00021
Suppose 61*z + 51 = 62*z + 5*j, -2*z - 4*j = -108. Let t = z + -3896. Round t to the nearest 100.
-3800
Let a = -137226.89 + 138012. Round a to the nearest ten.
790
Let y be (-3555)/(-158)*75736/(-3). What is y rounded to the nearest 10000?
-570000
Let r = -8002.265089 - -8002.2. What is r rounded to two decimal places?
-0.07
Let l = -35863 + 35863.050259. Round l to three decimal places.
0.05
Let u = -729 - -702. Let j be (u/(-81))/(2/(-43038)). What is j rounded to the nearest one thousand?
-7000
Let m = 127966 + -248146. Round m to the nearest ten thousand.
-120000
Let j = -0.042 - -0.003. Let k = j - 4.961. Let b = k + 5.003. What is b rounded to two dps?
0
Let z = 273.0509723007 + -0.0509716757. Let h = 273 - z. What is h rounded to 7 dps?
-0.0000006
Let n = -46677.6662 - 414416593.3338. Let o = -414463146.99999968 - n. Let l = o + -124. What is l rounded to 7 dps?
0.0000003
Suppose -2*p = 4*h + 15547256, -5*h + 5*p + 1955134 - 21389204 = 0. Let a = -7896814 - h. Round a to the nearest 1000000.
-4000000
Let m = -12.3 - -292.3. Let v = -278.24 + m. Round v to 1 decimal place.
1.8
Let w = -5.4 + 5.2. Let u = w - -0.24. Let h = u - 0.04094. What is h rounded to four decimal places?
-0.0009
Suppose -57210365 = -10*a + 5*a - 2*r, 3*r = -2*a + 22884146. Let v = a - 5922073. What is v rounded to the nearest one million?
6000000
Let q = -309 + 435. Let w = q + 209. Let p = 331.79 - w. Round p to 1 decimal place.
-3.2
Let n(q) = 5075*q**2 + 31577*q**3 + 7 + 1 - 5064*q**2 + 40144*q**3 + 10*q. Let c be n(-4). Round c to the nearest one million.
-5000000
Let p = 186791.9986 + -186739. Let c = p - 53. What is c rounded to three dps?
-0.001
Let s = -294.4 - -200. Let c = 94.400001386 + s. Round c to 7 dps.
0.0000014
Let r = 517964194 + -517964198.20000018. Let o = 3986.8 + -3991. Let f = o - r. Round f to seven dps.
0.0000002
Let q = 475.8 - -327. Round q to the nearest 100.
800
Let p = -17.9 - -19.07. Let x = 1.17 - p. Let i = -0.00055 - x. What is i rounded to 4 dps?
-0.0006
Let i = 13721 + -13718.9715. Round i to one dp.
2
Let c = 16298 - 15793.2. Round c to the nearest ten.
500
Let q = -227 + 227.123. Let v = 0.613 - q. Let h = 1.05 - v. What is h rounded to one dp?
0.6
Let u = -10111 + 10111.
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 u?
4/91
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {w: 2, m: 1, y: 2, s: 1, l: 2}.
1/14
Three letters picked without replacement from yzymzmmmmmm. Give prob of picking 2 y and 1 z.
2/165
What is prob of picking 2 y when two letters picked without replacement from yllylyllyyyyyynly?
45/136
Two letters picked without replacement from anjzawwwaaw. Give prob of picking 1 w and 1 n.
4/55
What is prob of picking 3 r and 1 i when four letters picked without replacement from liflfhrirrfrjii?
16/1365
Four letters picked without replacement from pmrrmpmppm. Give prob of picking 3 m and 1 p.
8/105
Four letters picked without replacement from znnnbnbzn. Give prob of picking 1 n, 2 z, and 1 b.
5/63
What is prob of picking 1 v, 1 l, and 1 p when three letters picked without replacement from vvvlvlvqtqtpsvt?
12/455
Three letters picked without replacement from {g: 7, s: 2}. Give prob of picking 1 g and 2 s.
1/12
What is prob of picking 1 p and 2 r when three letters picked without replacement from ppprpppprpr?
8/55
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {f: 1, x: 2, h: 5, o: 5, l: 4, b: 3}.
5/38
What is prob of picking 2 z when two letters picked without replacement from zzezzzzez?
7/12
Calculate prob of picking 1 i and 3 h when four letters picked without replacement from {h: 7, i: 1}.
1/2
What is prob of picking 1 u, 2 q, and 1 a when four letters picked without replacement from auqaqaaqaqaqqauau?
18/119
What is prob of picking 1 e and 1 o when two letters picked without replacement from ooooooeooooeeo?
33/91
Four letters picked without replacement from {w: 3, f: 4}. What is prob of picking 3 f and 1 w?
12/35
Two letters picked without replacement from {r: 6, i: 2, a: 9, k: 1}. What is prob of picking 2 r?
5/51
Four letters picked without replacement from khkkniokokiiwwikwwiw. Give prob of picking 1 o, 2 k, and 1 h.
2/323
What is prob of picking 1 v and 1 t when two letters picked without replacement from ttvtttvtttttt?
11/39
Four letters picked without replacement from txgwrtr. What is prob of picking 2 r, 1 g, and 1 t?
2/35
Three letters picked without replacement from eceffu. Give prob of picking 1 u and 2 f.
1/20
Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {n: 4, q: 1, h: 5, c: 6}.
3/28
Two letters picked without replacement from duundk. Give prob of picking 1 u and 1 n.
2/15
Calculate prob of picking 1 h, 2 e, and 1 f when four letters picked without replacement from vefeheh.
6/35
Two letters picked without replacement from {w: 5, a: 7}. Give prob of picking 2 w.
5/33
Two letters picked without replacement from kmrkirikkrkreerrrkt. What is prob of picking 1 r and 1 k?
14/57
Two letters picked without replacement from {q: 3, l: 2, k: 4, v: 2, f: 4, j: 3}. Give prob of picking 1 v and 1 k.
8/153
Three letters picked without replacement from {l: 4, m: 3, k: 1}. Give prob of picking 1 k and 2 l.
3/28
Three letters picked without replacement from pyytpyy. What is prob of picking 1 t and 2 p?
1/35
What is prob of picking 2 z when two letters picked without replacement from ffffffsssffssssszz?
1/153
Calculate prob of picking 4 d when four letters picked without replacement from sddsrrrssddsdr.
5/1001
Four letters picked without replacement from dtbdbaabbdatttbdb. What is prob of picking 2 a and 2 d?
9/1190
Three letters picked without replacement from mvmvhlvvmmvmhvhmm. Give prob of picking 1 l, 1 m, and 1 v.
21/340
Two letters picked without replacement from chhgchhcghghghgh. Give prob of picking 1 g and 1 h.
1/3
Two letters picked without replacement from lllpjjjjlpp. Give prob of picking 1 l and 1 p.
12/55
Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, k: 4, a: 3}.
4/165
Two letters picked without replacement from {k: 5, c: 2}. What is prob of picking 2 c?
1/21
What is prob of picking 1 e and 2 h when three letters picked without replacement from {h: 4, e: 3}?
18/35
Calculate prob of picking 2 b when two letters picked without replacement from {s: 8, x: 2, b: 9}.
4/19
What is prob of picking 1 q, 1 o, and 2 a when four letters picked without replacement from zqazakkorak?
1/110
What is prob of picking 2 s when two letters picked without replacement from {s: 3, i: 1}?
1/2
Four letters picked without replacement from ooobobbo. What is prob of picking 1 b and 3 o?
3/7
Three letters picked without replacement from {m: 1, d: 2, u: 1, z: 2, c: 1}. What is prob of picking 1 u and 2 d?
1/35
Three letters picked without replacement from tdvtvatftttvtvtvat. What is prob of picking 2 a and 1 v?
5/816
Calculate prob of picking 1 i, 1 f, and 2 a when four letters picked without replacement from ziamfzzmmiiziiiza.
3/1190
Three letters picked without replacement from {v: 3, o: 4}. Give prob of picking 2 v and 1 o.
12/35
Two letters picked without replacement from llllvvvl. What is prob of picking 2 v?
3/28
What is prob of picking 2 b when two letters picked without replacement from lllbbll?
1/21
Calculate prob of picking 1 f, 2 a, and 1 z when four letters picked without replacement from {s: 2, f: 5, r: 2, z: 1, a: 2, u: 1}.
1/143
Four letters picked without replacement from {h: 1, x: 2, t: 10, l: 4, k: 1}. Give prob of picking 3 l and 1 x.
2/765
Two letters picked without replacement from {i: 12, l: 7, b: 1}. Give prob of picking 1 l and 1 i.
42/95
Two letters picked without replacement from {o: 2, x: 1, m: 1, q: 2, k: 1, w: 1}. Give prob of picking 1 w and 1 o.
1/14
What is prob of picking 2 f and 1 h when three letters picked without replacement from hfhfhdh?
4/35
Three letters picked without replacement from ixxix. Give prob of picking 1 x and 2 i.
3/10
Three letters picked without replacement from {x: 5, b: 8}. What is prob of picking 3 x?
5/143
What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 5, s: 7, d: 1, n: 1}?
15/52
What is prob of picking 3 a when three letters picked without replacement from ahyaxddhdyyhayayhxyd?
1/285
Calculate prob of picking 1 m, 1 a, and 2 n when four letters picked without replacement from {n: 2, a: 1, b: 3, m: 1}.
1/35
Three letters picked without replacement from umuuuuummummu. Give prob of picking 3 m.
5/143
What is prob of picking 1 s and 1 i when two letters picked without replacement from sffci?
1/10
Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {q: 1, d: 3, t: 1, z: 1, m: 1}.
1/21
Calculate prob of picking 1 u, 1 e, and 1 a when three letters picked without replacement from awuueawauuwaa.
10/143
Two letters picked without replacement from qkookqqqqqq. Give prob of picking 1 q and 1 o.
14/55
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
z*s**3 + n + w*s + k*s**2 and give z.
-3
Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r.
-1
Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b.
-210
Rearrange (-34*j + 251*j + 10*j)*(-2*j + 3*j - 3*j) + 2*j**2 - 5*j**2 + 5*j**2 to the form u + q*j + w*j**2 and give w.
-452
Rearrange (0 - 1 - 1)*(4 + 3 - 27)*(v**3 - 3*v**3 + 0*v**4 - v**4) to s*v + i + u*v**4 + h*v**2 + k*v**3 and give u.
-40
Rearrange 2*q**2 - 10*q**3 + 1 + 12*q**3 + q**4 + 1 - 2*q to the form y*q + a*q**3 + o*q**4 + l + n*q**2 and give o.
1
Rearrange -1227 + 1227 + 2*o**2 + 2*o**4 + 2*o - 2*o**3 to the form w*o + i*o**2 + r + p*o**4 + b*o**3 and give i.
2
Rearrange 2*m**4 + 4*m**3 - 3*m**2 + m - 13 - 4*m**4 + m + 10 to o*m + n + k*m**4 + b*m**2 + x*m**3 and give n.
-3
Rearrange (s**2 - 2*s**2 + 0*s**2)*(-4*s**2 - 12*s + 3*s**2 + 3*s) to the form o*s**4 + l*s**2 + h + w*s + y*s**3 and give o.
1
Express (6*m + 7*m + 5*m)*(-m**3 - 2*m**2 + 2*m**2) in the form k + f*m**2 + l*m**4 + w*m**3 + b*m and give l.
-18
Rearrange -15*i**3 + 19*i**3 - 2*i - i + i**2 to the form s*i**2 + g*i + h + v*i**3 and give g.
-3
Express -1 + 3*h + 1 - h + 2 - 2 - 3*h + 4*h + h + (-1 + 4 - 4)*(h + h - 3*h) + h + 0 + 0 - 3*h - 2*h - 5*h + h + 4*h - 3*h as q + i*h and give q.
0
Rearrange 5*w**2 + 3*w**2 - 9*w**2 to p*w + j + d*w**2 and give d.
-1
Rearrange -18*r + 8*r + 9*r + 27 to i + c*r and give i.
27
Express -4*k**3 + 2 + 7*k**3 - 2*k**3 - 2*k**2 as y*k**3 + o*k**2 + p*k + g and give o.
-2
Rearrange -26*b**3 + 11*b**3 + 3 - 5 to l*b**3 + o + p*b + n*b**2 and give n.
0
Express (-5*x + 2*x + 2*x)*(2 - 2 + 2*x**2) + (-x - 5*x + 4*x)*(-5*x**2 + 6*x**2 + x**2) as q*x**2 + p*x + r*x**3 + k and give p.
0
Express 9 + 5*p**2 - 9 as l + x*p + k*p**2 and give k.
5
Express -5*u**3 + 2*u**2 + 7*u**3 + u**3 + u**4 - u**3 as b*u**3 + z + j*u**2 + h*u**4 + r*u and give b.
2
Rearrange (175 - 210 - 2*k + 0*k)*(0*k + k - 3*k) to the form x*k + r*k**2 + u and give x.
70
Rearrange -27*o - 24 - 33 + 57 to the form b*o + n and give b.
-27
Express 23*s**2 + s**3 - 52*s**2 - 1 + 26*s**2 in the form a*s**3 + r + z*s + c*s**2 and give r.
-1
Express -y + 16 - 16 + y**3 as i*y**3 + a + f*y + b*y**2 and give b.
0
Express (-2*j - j + 0*j)*(-18*j + 29*j - 19*j + (2*j + 1 - 1)*(3 + 2 - 6)) as k*j**2 + y + d*j and give y.
0
Express ((-1 - 1 + 1)*(-1 - 1 + 3) - 341 + 78 + 29)*(-6*h + 2*h + 3*h) as k + j*h and give j.
235
Express 2*m - m - 3*m + 2*m - 3 + 3 + (8 + 10 + 2)*(0 - m + 0) as c*m + l and give c.
-20
Express 2*a**2 + 9*a - 2*a**4 - 4*a**2 + 5*a**4 - 5*a**4 as i*a**2 + b*a**3 + o*a**4 + t*a + p and give i.
-2
Express ((4 + 5 - 3)*(-2*l + l + 2*l) + 1 - 1 - l)*(l + 0*l + 6*l) in the form v + s*l**2 + f*l and give s.
35
Express 13*m**3 + 2 - 5*m**3 - 6 in the form u + l*m**3 + z*m + t*m**2 and give u.
-4
Rearrange -3*w - 62 + 62 + (2 + 0 + 0)*(3*w - 4*w + 3*w) to the form l + p*w and give p.
1
Rearrange (-11 - 5 + 3)*(-1 + 3 - x - 1)*(0*x - x - 6*x) to the form u + j*x**2 + n*x and give n.
91
Express 3*p**4 - p**3 - 3*p + 6*p - p in the form w*p**3 + m + a*p**2 + b*p**4 + q*p and give w.
-1
Rearrange (2 + 1 - 4)*(-1 + 3 - 1)*(-3*b - 14*b + 2*b) to o + k*b and give k.
15
Rearrange 70*r**3 + 0*r - 2*r**2 - 2*r**4 - 65*r**3 + r to the form m*r**2 + w*r**3 + a*r + t*r**4 + u and give w.
5
Rearrange -2*m + m + 2*m + 1 - 1 - m - 2*m + 0*m + 3*m + (m + 5*m - 5*m)*(4 - 3 + 0) + 6*m - m - 3*m + 0*m - m - m to the form u*m + k and give u.
2
Rearrange (-2*p + 0*p + 3*p + (-5 + 6 + 1)*(0 + 0 + 2*p) - p - 3*p + 6*p)*(6 - 11 - 3) to t*p + h and give t.
-56
Express (-86*u + 1050 - 1050)*(-u + 0*u + 3*u) as h*u**2 + k*u + l and give h.
-172
Rearrange -4*h**3 + 36 - 20 + 73 + 5*h**3 to k + q*h + d*h**3 + z*h**2 and give d.
1
Rearrange (1 + 2 - 2)*(-3 + k + 3) + (4 - 4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
133))/sqrt(7) - 2*sqrt(304))**2.
-7296
Simplify (-4*sqrt(816))/(sqrt(3) + sqrt(9)/(sqrt(12)/sqrt(4))) + -4.
-8*sqrt(17) - 4
Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)/(2*sqrt(10)).
-63*sqrt(3)/2 + 977
Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + -1*(sqrt(187) + 1*sqrt(187))))/((-1*sqrt(88))/sqrt(8)) + 4)**2.
-8*sqrt(17) + 33
Simplify (sqrt(13) - ((4*sqrt(13))**2 + 4))*-5 - (sqrt(1872) + 3 + -1).
-17*sqrt(13) + 1058
Simplify (sqrt(20) - 2*sqrt(980))/sqrt(4) + sqrt(20) + sqrt(500) + -3 + sqrt(20) + -5.
-8 + sqrt(5)
Simplify (4*sqrt(187)*-2 + sqrt(187) + sqrt(187) - 5*(sqrt(187)*2 + sqrt(187) + sqrt(187)))/((sqrt(1100) - sqrt(1100)*2)*-3).
-13*sqrt(17)/15
Simplify ((sqrt(22) - (sqrt(22) - -5*sqrt(88))) + ((-1*sqrt(88))/sqrt(4) - sqrt(22)))/(sqrt(12)/(sqrt(6)*-1) - (sqrt(162)*-1 - sqrt(162))).
-12*sqrt(11)/17
Simplify 0 + sqrt(17) + -1 + sqrt(34)/(sqrt(6)/sqrt(3)) - (sqrt(833)*-2*-2)**2.
-13329 + 2*sqrt(17)
Simplify (1*(sqrt(204) - 2*sqrt(204)) + (sqrt(204) - -1*sqrt(204))*-1)/((3*sqrt(108) + sqrt(108))*5).
-sqrt(17)/20
Simplify (-6*(2 + 1 + sqrt(396)*1 + sqrt(396) + sqrt(396) + sqrt(396) + 1*sqrt(396)*6))**2.
12960*sqrt(11) + 1425924
Simplify (4*sqrt(78)*-2*-6)/(sqrt(96)*-2*6 + sqrt(96)).
-12*sqrt(13)/11
Simplify -3 + (1 + (sqrt(1250) + sqrt(1250) + -6*sqrt(1250))/sqrt(10))**2*2.
-80*sqrt(5) + 3999
Simplify 0 + -4 + (1 + sqrt(891) + -4 + sqrt(891))**2.
-108*sqrt(11) + 3569
Simplify ((sqrt(19) + -1)**2 + -4 - (-5 + sqrt(76)/sqrt(4))) + (-6*(sqrt(19) - sqrt(76)*-3))**2 + 4.
-3*sqrt(19) + 33541
Simplify sqrt(10)/(3*sqrt(12)/sqrt(6)) + ((sqrt(175)*-4 + sqrt(175) + sqrt(175))/sqrt(7))/sqrt(5).
-5*sqrt(5)/3
Simplify 1 + (sqrt(96)/(sqrt(48) - sqrt(3)) + sqrt(32) + (sqrt(32) + sqrt(384)/(-2*sqrt(12) + sqrt(12)) - sqrt(32)))*-5.
-20*sqrt(2)/3 + 1
Simplify ((sqrt(2) - sqrt(32)) + -4 - (sqrt(10)/sqrt(5) + -4) - (sqrt(150)/sqrt(3) + 1 + sqrt(288)))**2.
42*sqrt(2) + 883
Simplify ((-2 + sqrt(35)/(sqrt(7) - sqrt(112)) + -3 + (sqrt(5) - sqrt(55)/(sqrt(99)/sqrt(9))))*1)**2.
10*sqrt(5)/3 + 230/9
Simplify ((sqrt(2178) - (sqrt(2178) + 1*-2*sqrt(2178))) + sqrt(2178))/((1*sqrt(96) + sqrt(96))*5).
33*sqrt(3)/40
Simplify (-5 + sqrt(539) + (2 + sqrt(539))*-4)*2.
-42*sqrt(11) - 26
Simplify ((sqrt(80) - 2*sqrt(80))*-3 + -5*sqrt(80)*-1 + sqrt(80))/(1*(sqrt(196) - sqrt(196)*2) + sqrt(196) + sqrt(196)).
18*sqrt(5)/7
Simplify 1 + (-2 + -2*-3*sqrt(68) + 0 + 0)**2.
-48*sqrt(17) + 2453
Simplify -4*(1*-4*sqrt(44)/sqrt(4))**2 - (5*(-1 + sqrt(99))*-1)**2.
-3204 + 150*sqrt(11)
Simplify (-2 + (sqrt(1400) - sqrt(1400)*-2)/(-1*sqrt(98)))**2.
120*sqrt(7)/7 + 928/7
Simplify (-1 + ((sqrt(440)*-3 + sqrt(440))/sqrt(10) - (sqrt(44)*-3 + -5)) + 4)**2.
32*sqrt(11) + 108
Simplify ((sqrt(117) - (sqrt(117) - -2*sqrt(117)))*2*-3 - 2*(sqrt(117) + (sqrt(117) - -1*(sqrt(117) + -2))))**2.
144*sqrt(13) + 4228
Simplify (-4*sqrt(104)*2)/(6*(sqrt(8) + 3*sqrt(8) + sqrt(8))).
-4*sqrt(13)/15
Simplify -4 + sqrt(192)/((-1*sqrt(44))/sqrt(11)).
-4*sqrt(3) - 4
Simplify -6*(-1*sqrt(190)*-5)/((sqrt(20)*-2)/sqrt(2)).
15*sqrt(19)
Simplify (-5*(sqrt(104)*-2 - sqrt(104)))/sqrt(8) - (sqrt(39)/sqrt(3)*2 - sqrt(39)/sqrt(27))**2.
-325/9 + 15*sqrt(13)
Simplify ((-1*1*sqrt(190)*-4)/(-1*(sqrt(10) + sqrt(160)) + sqrt(20)/sqrt(2)*-6))**2.
304/121
Simplify 4 + (sqrt(34) - (sqrt(136)*1 - sqrt(34)))/(-1*(sqrt(2) + sqrt(2)*-2 + sqrt(2)) - sqrt(2)) + 5.
9
Simplify (-5*sqrt(216))/sqrt(3) + -4.
-30*sqrt(2) - 4
Simplify (((sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2*-4)) + -4 + sqrt(1300)*-1)*-6)**2*-6*5.
-68813280 + 604800*sqrt(13)
Simplify (sqrt(363) + 3)*4*-2 + 3.
-88*sqrt(3) - 21
Simplify (-5 + -3*(5 + sqrt(242) + -2) + -1*sqrt(242)*-1*-2)**2.
1540*sqrt(2) + 6246
Simplify (3 + sqrt(343) + 3)**2 + (sqrt(448) + -1*sqrt(448) - (sqrt(7) + 0)*3).
81*sqrt(7) + 379
Simplify (2 + sqrt(320))*-6 + 3 - (((sqrt(320) - -1*sqrt(320)) + -3)**2 + (sqrt(320) + sqrt(320)*2)*-3).
-1298 + 120*sqrt(5)
Simplify (sqrt(70)/((sqrt(24)*-1)/sqrt(12)))/((sqrt(125) + sqrt(125)*3)*-3 + sqrt(125)).
sqrt(7)/55
Simplify 6*(-4 + -2 + sqrt(252) - sqrt(252)) - (2 + (sqrt(252) + sqrt(252) + 2 - sqrt(252)) + -3)**2.
-289 - 12*sqrt(7)
Simplify (((sqrt(70) - 3*(sqrt(70)*-2 + sqrt(70))) + (1*(sqrt(70)*1 + sqrt(70)) - sqrt(70)))/(1*sqrt(800)/sqrt(5)))**2.
175/16
Simplify (sqrt(35)/(sqrt(20)/sqrt(4)) - sqrt(7) - sqrt(7))*4 + -2 - (2*sqrt(7)*6 - (sqrt(567)*3 - sqrt(567)))**2.
-254 - 4*sqrt(7)
Simplify ((sqrt(2500) + sqrt(2500)*3 + sqrt(2500) - sqrt(2500)) + sqrt(2500
|
{
"pile_set_name": "DM Mathematics"
}
|
- -33))?
0
-14 + -8 - -18 - 20
-24
What is the value of -10 + -7 + -12 + 56 + 1?
28
Calculate (0 - 1) + 3 + 2 - (-1075 + 1069).
10
7 - (75 + -22 + -30)
-16
Calculate (-2 - 27) + 5 + -4 + (6 - 5).
-27
Calculate 8 + 1 + -2 + (-22 - -12 - 5).
-8
Evaluate (-6 - (-4 + 15)) + 10 - 5.
-12
What is the value of (8 - (6 + 2 - (22 - 19))) + 0?
3
Calculate 10 + 7 - 1 - -12.
28
Calculate -25 - (-24 - -11 - 29).
17
What is -12 + 4 - (10 + -8)?
-10
What is -3 + (-3 - 1 - (-7 - (9 - 3)))?
6
-5 + (7 - 0) - (16 - 3)
-11
Calculate -4 + (1 - (-21 + 13 - 8)).
13
Evaluate (-18 - -9) + -3 - -3.
-9
Evaluate -4 + 37 + -47 + -12.
-26
Calculate 9 + -5 - ((-33 - -40) + (1 - 5)).
1
-1 + -1 + 0 + (-877 - -864)
-15
What is 16 - (6 + 1 + 7 + -14)?
16
Evaluate (69 - 42 - 34) + 17.
10
Calculate -14 + (25 - (8 - -4) - -6).
5
11 + (-2 - 1) + 5 + -7 + 7
13
What is the value of -69 + 74 - (6 - 1) - -3?
3
Evaluate (15 - 15 - (8 + 0)) + 3.
-5
Calculate 32 + (-25 - -28) + -25.
10
-4 + (-18 - (-56 + 15 + -10))
29
What is the value of -7 - 19 - -13 - -10?
-3
Calculate (17 - 31 - -17 - (1 + 8)) + 1.
-5
Evaluate 20 + 7 + -4 + -2 + -9.
12
Evaluate 8 - (-5 - 3 - -23 - 10).
3
What is (-1 - (-40 + -1)) + 991 + -1009?
22
Evaluate -5 + (5 - -2) + 5 + -13.
-6
Evaluate (19 + 40 - 29) + -52.
-22
-6 + (-5 - (0 + -21)) + -5 - -23
28
What is the value of -5 + -2 - (-13 - -14) - -6?
-2
What is the value of -71 + 73 - (16 - -2)?
-16
Calculate 6 + (0 - 2) + -10 + -7 - -8.
-5
Evaluate 0 + 5 + (-19 + 1 - -3).
-10
Evaluate -15 + -5 + 13 - -25.
18
What is the value of (-1 - -16) + 2 + -14 + -28?
-25
Evaluate 0 + (6 - (-6 - -17)) + 9 + 0.
4
Evaluate 6 + (-3 - (21 + -7)).
-11
What is (3 - (3 + -11)) + 2 + (13 - 6)?
20
What is the value of 41 + -8 + -13 - (12 - -1)?
7
Evaluate -5 + -9 - -33 - 20.
-1
What is the value of -8 - -1 - (8 - 24)?
9
What is the value of -194 - -161 - (3 + 0 + -16)?
-20
Calculate -5 + -2 + 18 - 13.
-2
What is -1 + -1 + (-160 - -148)?
-14
(4 - -1) + (-595 - -608)
18
What is the value of 5 + 35 + -41 + -23?
-24
What is (10 - 7 - 6 - (4 + -9)) + 29?
31
What is the value of (8 + 11 - (-3 - -16)) + -1?
5
11 + -15 + -3 - (-41 - (-7 + 7))
34
Calculate 33 - (7 + 32 + -24).
18
(0 - -10) + -3 + 2 + -14
-5
Calculate -12 + -3 + 6 + 6.
-3
What is the value of 10 - 46 - (89 + -150)?
25
What is 49 + -64 + (25 - -22)?
32
Calculate -5 + 4 + -2 + -3 + 8.
2
Calculate (-38 + 41 - -10) + 17.
30
33 + (-25 - 0) + (320 - 311)
17
What is the value of (-12 - -2 - (3 - (-4 - -31))) + -2?
12
Calculate (0 - 9) + (102 - 105).
-12
What is 1 + 6 + 123 + -118?
12
What is -41 + -41 + (14 - -95)?
27
What is the value of (-61 - -30) + (13 - 0)?
-18
What is 1 - -2 - (0 + -3) - (-1 + 2)?
5
-5 + 9 - 3 - (-2 - (1 + -3))
1
What is -16 - -58 - 23 - (-1 - -3)?
17
Evaluate -7 - (-11 - -5) - (-3 - 5 - 3).
10
Calculate -13 + (39 - 15) + -14.
-3
What is the value of 33 - (8 + 1) - 12?
12
What is the value of 8 + (1 - 1 - 8) + 9 + -13?
-4
What is (-39 - -12) + (2 - (-2 - -4)) + -1?
-28
What is (-9 - -19) + 7 - 13?
4
Calculate 6 + (5 - (11 - -3)) - (-16 + 15).
-2
(46 - 49) + (0 - -3) - (-1 - 4)
5
Calculate -12 + 0 - (17 + 5 + -28).
-6
Evaluate -27 + -52 + (79 - 39).
-39
Calculate 25 + -9 + -11 + (1 - 10).
-4
What is 2 - -27 - (191 - 187)?
25
What is the value of (0 + (7 - (-4 - -9)) - 0) + -2?
0
What is (26 - (-4 + 17 + 1)) + 1?
13
What is -3 - (-3 + 0 + (5 - 7)) - 6?
-4
What is -13 - (17 - (13 - (-6 - (-3 + -4))))?
-18
Evaluate -2 - -7 - (-6 + (15 + -10 - -6)).
0
18 + (35 - 62) + (-9 - -1)
-17
What is -2 - (11 - -8 - (7 + 1))?
-13
Evaluate (-18 - 9 - -6) + 21.
0
What is the value of 6 + -2 - -1 - (19 + -23 + 6)?
3
-8 - (18 - 6 - -2) - -2
-20
Calculate -4 + -3 - -7 - (8 - 3) - 1.
-6
Calculate -3 + 12 - (37 + -33 + (-22 - -1)).
26
What is (-14 - (-1 + -3)) + 23?
13
What is 5 - (-8 + 6 - -4) - 1?
2
What is the value of -3 + 1 + 0 + -7 + 4?
-5
-2 - (-22 + 7) - 14
-1
What is 2 - 1 - (2 + -3 + -14 + 17)?
-1
Evaluate (27 - 26) + 2 + 0 + 25 + -29.
-1
-24 + 3 + (45 + -51 - (-1 + -5))
-21
What is the value of 20 + (-3 - (-11 - -12)) + (5 - 10)?
11
What is -6 + 0 + (20 - 16) + 2 - -3?
3
-910 + 889 + (-4 - 2)
-27
What is the value of -4 + 3 + (25 - 32) - -9?
1
What is the value of 2 - (2 + (2 - (8 + 2)) + 0)?
8
What is (-48 + 1 + 16 - 0) + 11?
-20
What
|
{
"pile_set_name": "DM Mathematics"
}
|
v(l) = -159*l. Calculate v(j(i)).
-159*i
Let q(n) = 7*n + 5. Let c(w) = -4*w - 3. Suppose -3*l + 2 + 0 = k, -2*l + 3 = k. Let t(z) = k*c(z) + 3*q(z). Let b(d) = -d. Give b(t(v)).
-v
Suppose -5*q + 40 = 3*b, -q - 2*b = -3*b. Let o(g) = 2*g + q*g - 5*g. Let n(k) be the second derivative of k**4/12 + k. What is n(o(l))?
4*l**2
Let g(z) = 3*z**2. Let l(i) = i - 1. Let m(k) = 11*k**2 - 11*k + 11. Let j(q) = 11*l(q) + m(q). What is j(g(v))?
99*v**4
Let d(l) be the third derivative of l**5/60 + 7*l**2. Let x(p) = 18*p**2. Give x(d(q)).
18*q**4
Let m(x) = -261*x. Let h(o) = -o**2. What is h(m(c))?
-68121*c**2
Let s = 10 - 10. Let v(i) = 3*i + s*i - 4*i. Let f(m) = -2*m**2. Determine v(f(b)).
2*b**2
Let i(v) = -4*v**2. Let f be (1/2)/((-4)/(-80)). Let w be ((-4)/f)/(1/(-15)). Let k(d) = 4*d**2 + d**2 - w*d**2. Determine i(k(t)).
-4*t**4
Let j(d) = -5*d**2. Let a(s) = 2*s**2 + 3*s. Let y(h) = 6*h**2 + 8*h. Let x = -2 - -5. Let c(k) = x*y(k) - 8*a(k). What is j(c(p))?
-20*p**4
Let d = 15 - 11. Let r(c) = 0*c**2 - d*c**2 + 6*c**2. Let y(j) = 6*j**2. Give y(r(b)).
24*b**4
Let z(h) = -2*h. Suppose a = 5 - 3. Let q(m) = 4 + a - 6 + m. What is z(q(w))?
-2*w
Let p(q) = -6*q. Let a(g) = 599*g**2. Give a(p(i)).
21564*i**2
Let b(v) = 3*v. Let i be b(1). Let z(l) = 5*l - l - i*l. Let r(y) = 19*y**2 + 11. Let u(c) = 10*c**2 + 6. Let h(n) = 6*r(n) - 11*u(n). Determine h(z(o)).
4*o**2
Let t(m) = -m**2 + m - 1. Let s(i) = -3*i**2 + 2*i - 2. Let w(x) = s(x) - 2*t(x). Let c(v) = -37*v. What is w(c(h))?
-1369*h**2
Let s(m) = -2*m**2 + 4*m + 4. Let w(f) = -3*f**2 + 5*f + 5. Let r(b) = 5*s(b) - 4*w(b). Let x = 7 - 4. Let t(u) = 4*u - u - 3 + x. Calculate t(r(y)).
6*y**2
Let d(k) = -k + 5. Let t(g) = g**2. Calculate t(d(j)).
j**2 - 10*j + 25
Let v(d) = d. Let u be 132/28 - (-2)/7. Let b(y) = u - y**2 + 5 - 5 + 3*y + 2*y. Let l(x) = -3*x - 3. Let s(z) = 3*b(z) + 5*l(z). What is v(s(j))?
-3*j**2
Let h(w) = -w. Let v(y) = 2065*y. Calculate h(v(f)).
-2065*f
Let w(h) = -h**2 + 7*h. Let q(r) = r**2 - 6*r. Let g(f) = 7*q(f) + 6*w(f). Let o(n) = 3*n - 7. Calculate o(g(t)).
3*t**2 - 7
Suppose -5*u + 14 = -3*u. Let t(i) = u*i - 7*i + i**2. Let h(x) = -3*x**2 - 5*x. Let v(l) = -4*l**2 - 7*l. Let o(a) = -7*h(a) + 5*v(a). Determine t(o(p)).
p**4
Let h(m) = 3*m**2 + 3*m**2 - m**2 - 4*m**2. Let y be ((-4)/(-6))/(2/9). Let f(j) = 2*j**2 - y*j**2 - j**2. Calculate f(h(i)).
-2*i**4
Let m(b) = 2*b**2. Let d(g) = -44*g + 17. Let u(n) = -15*n + 6. Let r(a) = 6*d(a) - 17*u(a). Give m(r(l)).
162*l**2
Let f(j) = -56*j + 36. Let d(r) = 5*r**2. What is d(f(b))?
15680*b**2 - 20160*b + 6480
Let x(f) = f. Let k(n) = 12*n. Let y be 1/((-15)/6 + 2). Let d(i) = 3*i. Let q(j) = y*k(j) + 9*d(j). Determine x(q(s)).
3*s
Let k = -3 - -9. Let q(a) = 6 + a - k. Let r(v) = v - v + 0*v + v. Give q(r(z)).
z
Let f(b) = -3*b**2. Let m(d) = -d**3 + 4*d**2 - 2*d - 2. Let x be m(3). Let r(g) = 4*g - x + 5 - 4. Calculate f(r(h)).
-48*h**2
Let v(p) = 2*p + 5*p - 2*p - 3*p. Suppose o = 2*o. Let g(f) = 3*f**2 + o*f**2 + 0*f**2. Determine v(g(u)).
6*u**2
Let x(p) = -3*p**2 + 3*p**2 - p**2. Let a(c) be the second derivative of c**4/12 + c - 41. Determine x(a(i)).
-i**4
Let t(j) be the second derivative of 1/6*j**4 + 0 + 10*j + 0*j**2 + 0*j**3. Let n(y) = 4 - 4 - 5*y**2. Calculate n(t(f)).
-20*f**4
Let k(u) = -25*u. Let q be ((-7)/4)/((-3)/12). Let a(z) = q*z - 3*z - z - 2*z. Give k(a(b)).
-25*b
Let t(x) = -12*x - 10. Let h(j) = -j - 1. Let b(s) = 10*h(s) - t(s). Let c(w) = -w**2. Give c(b(p)).
-4*p**2
Let o(h) = -4*h - 9. Let d(b) = -b - 2. Let s(i) = -18*d(i) + 4*o(i).
|
{
"pile_set_name": "DM Mathematics"
}
|
715/8 + -89. Put b, 0.3, -4, 0.5 in decreasing order.
0.5, b, 0.3, -4
Suppose 5*w + 4*p - 64 = 0, 0*w + 2*p - 14 = -w. Let v = w + -14. Put 3, -3, v in increasing order.
-3, v, 3
Let g = 13.1 - 15. Let a = 1.4 + g. Put -3/5, a, 1 in ascending order.
-3/5, a, 1
Let c = 0 + 0. Suppose c*z - 4*z + 5*w + 22 = 0, -5*z + 2*w = -19. Let m = 7 - z. Put 3, -4, m in descending order.
m, 3, -4
Let p = 10 - 9.5. Put 2, 0.2, -0.3, p in descending order.
2, p, 0.2, -0.3
Let y = -15.9 + 15. Let s = 0.8 + y. Sort s, 0.3, -0.2 in decreasing order.
0.3, s, -0.2
Suppose 0*m - 4*m - 4 = 2*h, 1 = -m. Let a = h - 1. Let v be ((-24)/(-7) - 3)/(4/28). Sort v, -4, a in increasing order.
-4, a, v
Suppose -3*d = -7*d. Sort d, -2, -3 in ascending order.
-3, -2, d
Let p be (6 + -5)*2/2 + -4. Suppose -3*i = 5*l - 16 + 1, -4*l + 12 = -3*i. Sort 4, l, p in increasing order.
p, l, 4
Let k be -1*4*2/14. Let q(z) = -z**2 + 14*z + 3. Let x be q(14). Let o be ((63/(-6))/(-7))/x. Put o, k, 2 in decreasing order.
2, o, k
Suppose 0 = -m - 5*p + 31 - 11, 0 = -3*m - 4*p + 49. Suppose c - m = 4*c. Put -2, 11, c in descending order.
11, -2, c
Let c be 96/15 - 2/5. Let q be (-1 - -4)/(c/4). Let g = 2.1 + -2. Put q, -2, g in ascending order.
-2, g, q
Let y = -2.037 + 0.077. Let z = y - -0.02. Let w = -0.06 + z. Sort 0.3, -1, w in decreasing order.
0.3, -1, w
Let z = 8 - 5. Let k = z - 8. Put -1, k, 3 in ascending order.
k, -1, 3
Let g = 4 + -5. Sort -0.1, 0.5, g in descending order.
0.5, -0.1, g
Let j be (16/(-20))/(1/15). Let v = 8 + j. Sort 1, -5, v in increasing order.
-5, v, 1
Let g be 2/(4/6) - -3. Let x be g/(-24) + 2/8. Sort -5, x, 5 in ascending order.
-5, x, 5
Let x = 0.37 - 0.17. Sort 3, -3, x in increasing order.
-3, x, 3
Let k = 24 + -25. Sort 4, k, 0.
k, 0, 4
Let n = -5 - -9. Let c(g) = 0*g**2 + g**2 - 6*g + 5 + 0*g**2. Let u be c(6). Put u, n, 2 in increasing order.
2, n, u
Let y = -45 + 39. Put y, 4, 3 in descending order.
4, 3, y
Let u be 19/5 + (-1)/(-5). Suppose 3*s + 5 = -u. Let z = 0.6 - -2.4. Put z, 1/3, s in decreasing order.
z, 1/3, s
Suppose 66 - 76 = -2*q. Let j be (-4)/6 + 24/(-18). Sort j, q, 3 in ascending order.
j, 3, q
Let w = 15.001 + -0.001. Put -3, 5, 2/11, w in ascending order.
-3, 2/11, 5, w
Suppose 0 = -4*h - 3*h - 14. Put 0, -5, h in decreasing order.
0, h, -5
Let h = 227 - 227. Let g = -1 + 4. Put g, -1/4, h in ascending order.
-1/4, h, g
Let i = 4 + -3.7. Put 0.02, 2/7, i in ascending order.
0.02, 2/7, i
Let o = 1.2 + -0.2. Let t = 8/3 + -5/2. Put 2/11, o, t in descending order.
o, 2/11, t
Suppose 0 = -4*s - 7 - 13. Let u be 0/2 - (1 - 1). Put u, s, 5 in descending order.
5, u, s
Let m(u) = -u**2 - 6*u + 5. Let r be m(-6). Let s = 13 - 15. Put 1, r, s in descending order.
r, 1, s
Let r be (3/9)/((-4)/24). Sort r, -3, -1, 4 in decreasing order.
4, -1, r, -3
Let i be 0*((-2)/(-4))/(-1). Let s = -6 + 9. Suppose -26 = 5*a - s*o, -3*o = -4*a + o - 24. Sort 1, a, i.
a, i, 1
Suppose 5*g + 9 = 2*b, -4*g + 2*b = 5*b - 2. Put 0, 5, g in decreasing order.
5, 0, g
Let s = 39 + -40. Put 1, s, 2, -5 in increasing order.
-5, s, 1, 2
Let m be 523/15 + (-18)/27. Let f = -69/2 + m. Sort -4, -1/9, f.
-4, f, -1/9
Suppose 3*i + 0*i = 3. Put -1, 5, i in increasing order.
-1, i, 5
Let z(i) = 4*i + 19. Let n be z(-7). Put 3, n, 4 in descending order.
4, 3, n
Let g(z) = -z - 9. Let o be g(-4). Sort 3, 2, o, -2 in decreasing order.
3, 2, -2, o
Let a = -0.07 + 5.07. Let k = 7.92 + 0.08. Let q = k - 7.7. Sort a, q, 0.4 in decreasing order.
a, 0.4, q
Suppose 0 = -5*s - 0 + 20. Suppose s*n = 6*n - 6. Put 2, 5, n in increasing order.
2, n, 5
Suppose 0 = -4*g + 2*g + 32. Suppose -4*w + g = -0*w. Let f = -2 - 0. Sort -3, w, f in descending order.
w, f, -3
Suppose -4*k + 0*k = -8. Let b = -2 + 2. Suppose -t - 1 = -b. Sort t, -2, k in ascending order.
-2, t, k
Let b = 9 + -6. Let r be -4 + b - 34/(-30). Sort r, 2, -0.5.
-0.5, r, 2
Let k = 1.3 - 0.3. Let i = 0.44 + -0.64. Sort -3, k, i.
-3, i, k
Let g be 1 - 5 - (1 - 2). Suppose -4*o - o - 25 = 0. Put o, g, 4 in decreasing order.
4, g, o
Suppose -254*g + 250*g = 12. Let y be -1 - (2 - 3/1). Sort -4, g, y.
-4, g, y
Suppose 0 + 2 = 2*q. Sort q, 3, -5, -2.
-5, -2, q, 3
Let t = 0.2 - 0.2. Let d = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
6 * -0.006
-2943.996
Work out -1622 * -13011.
21103842
What is -26.08 times 1052?
-27436.16
674 times 123
82902
Multiply -139.5 and -295068.
41161986
What is -12642460 times 4?
-50569840
Calculate 6943*302.
2096786
What is -1496566 times 213?
-318768558
0.3 * 0.4337478
0.13012434
-18.29 times -53808
984148.32
-8.3 times -1057.2759
8775.38997
What is -3 times -16077775?
48233325
What is 1.8 times 1068759?
1923766.2
What is -1.4580742 times -1?
1.4580742
Multiply 937.9 and -0.0392.
-36.76568
Calculate -20017047*2.
-40034094
Multiply -2.2 and -69210820.
152263804
Product of -0.19804 and 366.
-72.48264
92.20677*0.04
3.6882708
What is -42 times -348?
14616
What is the product of 2.3 and 0.230569?
0.5303087
-1*2612956
-2612956
What is -2.066 times 2374?
-4904.684
25421087 * 33
838895871
Work out 504 * 1.21148.
610.58592
Multiply -0.2145681 and -107.
22.9587867
-250.2 times 641
-160378.2
Work out -0.1164627 * -44.
5.1243588
What is the product of -166366 and -0.84?
139747.44
What is -302087.45 times -0.5?
151043.725
269*-141676
-38110844
3*2758791
8276373
Product of -296 and 163394.
-48364624
10404.145 * 1
10404.145
What is the product of -1.6 and -107591?
172145.6
Work out -50312 * 10.27.
-516704.24
-601609*-79
47527111
Work out -4041460 * 0.6.
-2424876
What is the product of -506 and 23029?
-11652674
Product of -22 and -125676.
2764872
What is 0.1 times -0.1245851?
-0.01245851
5200*-33623
-174839600
What is -5 times 392825.72?
-1964128.6
Multiply -3803 and -6.2285.
23686.9855
Calculate 58226*990.
57643740
-204.0714*-18
3673.2852
Work out -128627.7 * 1.
-128627.7
12240.8*776
9498860.8
What is the product of -1.4495424 and 0.2?
-0.28990848
What is -1194339473 times 0.5?
-597169736.5
-3.789218 times -26
98.519668
-15416.295 times -2
30832.59
Product of -42244 and -113.6.
4798918.4
2181 times -1218
-2656458
4 * -1535.927
-6143.708
Work out 0.51214 * -78.01.
-39.9520414
What is the product of 0.7 and 40795763?
28557034.1
Multiply 68 and 222.
15096
Multiply -24.4 and 16729.
-408187.6
What is 81.0999 times -5?
-405.4995
5188752*0.4
2075500.8
Calculate 0.5*-164832.422.
-82416.211
Work out -5 * 79884.
-399420
What is 369 times -100307?
-37013283
Work out -0.01 * 13840.15.
-138.4015
Calculate -4.549*-36.4.
165.5836
Calculate 3835204*3.
11505612
Multiply -22.418 and -0.5.
11.209
What is the product of -6 and -16788009?
100728054
1751160 times 106
185622960
What is the product of 0.01280688 and 0.4?
0.005122752
19591882 times 5
97959410
Work out -86444.9 * 0.3.
-25933.47
Work out -0.4 * 267195.9.
-106878.36
Work out 0.29 * 6.281373.
1.82159817
0.1013879*0.91
0.092262989
Calculate 2654*99300.
263542200
Calculate 18805*62.7.
1179073.5
Product of 4215257 and 0.4.
1686102.8
Work out 1648 * 12784.
21068032
What is the product of -2.6 and -139986?
363963.6
Multiply 878.3 and -649.
-570016.7
What is the product of 3 and -0.32753993?
-0.98261979
0.3 times 173551
52065.3
Product of -0.147768 and 32.
-4.728576
Product of -4.2009 and -1.79.
7.519611
Work out 40.12 * -11182.
-448621.84
What is the product of -437 and 14.3984?
-6292.1008
Calculate -3.34737*106.
-354.82122
What is 4585552 times 4?
18342208
Calculate 1.1393517*0.05.
0.056967585
What is the product of 16487 and 0.0051?
84.0837
Calculate -14370306*0.3.
-4311091.8
What is the product of -35 and 317016?
-11095560
Calculate 106*-0.075858.
-8.040948
Calculate 12.848*-5162.
-66321.376
Work out -169398 * -0.52.
88086.96
Work out -163756 * 0.1.
-16375.6
0.8825*3127
2759.5775
-0.2 times 0.01206088
-0.002412176
-0.5*-24.086189
12.0430945
1419 times -78.093
-110813.967
What is -0.019 times -123.29?
2.34251
-0.2*5314152
-1062830.4
Product of -204.34 and 0.184.
-37.59856
Calculate 552*-554.7.
-306194.4
What is -79781 times -2.15?
171529.15
-2936.2 * 0.13
-381.706
Multiply 12537 and -0.4423.
-5545.1151
546.8921 times 0.01
5.468921
-96238*-143
13762034
5824400 times -3
-17473200
Multiply 114 and -25840.
-2945760
Calculate 1033207*-6.
-6199242
Product of -0.1 and 5922734.
-592273.4
-21143*1.506
-31841.358
Multiply 107260 and -1.25.
-134075
3863297 times -0.1
-386329.7
Product of 1.2 and 53.821962.
64.5863544
Multiply -90 and -563.6505.
50728.545
Calculate -3855*-1.8144.
6994.512
-27 * -10755.5
290398.5
Multiply -80 and 1793582.
-143486560
What is the product of -7.1 and 0.06844?
-0.485924
Calculate 137.22174*0.5.
68.61087
-8287711 times -0.6
4972626.6
Multiply -
|
{
"pile_set_name": "DM Mathematics"
}
|
(f) = n*l(f) - 120*v(f). Give p(o(g)).
30*g**2
Let t(q) = -5*q - 225. Let m(h) = -9. Let y(x) = 25*m(x) - t(x). Let r(z) = 542*z**2 - 2. What is r(y(f))?
13550*f**2 - 2
Let z(c) = -11*c. Let g(p) = 108*p - 32 - 203*p + 0 + 103*p. Determine z(g(m)).
-88*m + 352
Let r = 12 + -12. Let s(c) = 73*c + 0 + r - 74*c. Let n(a) = -3*a. Let b(f) = 2*f. Let k(w) = 5*b(w) + 3*n(w). What is k(s(i))?
-i
Let t(f) = 1669*f - 578. Let s(z) = -6*z**2. Determine t(s(d)).
-10014*d**2 - 578
Let n(v) = -4*v + 5. Let y(d) = -1223*d**2. Calculate n(y(f)).
4892*f**2 + 5
Let r(m) be the second derivative of m**4/4 + 12*m - 3. Let z(u) = 2 - 2 - 4*u - 58*u. Calculate z(r(t)).
-186*t**2
Let b(u) = -47 - 3*u**2 + 138 + 8*u**2 - 40 - 44. Let g(a) = 3*a**2. Determine g(b(k)).
75*k**4 + 210*k**2 + 147
Let i(b) = 110*b**2. Let n(a) = -11*a + 148. Calculate n(i(j)).
-1210*j**2 + 148
Let s(j) = -6*j + 15 + 8*j + 17. Let p(f) be the second derivative of f**3/6 + 740*f. What is p(s(x))?
2*x + 32
Let b(d) = -6*d + 15. Let p(f) = -f**2 - 20*f + 50. Let c(y) = -10*b(y) + 3*p(y). Let m(w) = -14*w + 2. Give c(m(o)).
-588*o**2 + 168*o - 12
Let v(q) = -477 + 2*q**2 + 955 - 478 - 4*q**2. Let r(k) be the third derivative of -61*k**5/30 - k**2. What is r(v(y))?
-488*y**4
Let n(p) be the second derivative of -89*p**4/12 + 7*p. Let g(b) = -18*b - 3*b + 7*b + 12*b. Determine n(g(m)).
-356*m**2
Let l(h) = -28*h - 1. Let u(s) = -222*s - 8. Let j(a) = 24*l(a) - 3*u(a). Let q(c) = -32*c + 6. Calculate j(q(z)).
192*z - 36
Let m be (-134 + -3 + -1)*1/(-3). Let r(c) = -m*c - 36*c + 81*c. Let h(o) = o + 65. Calculate r(h(k)).
-k - 65
Let w(v) be the first derivative of v**3/3 + 2420. Let h(i) = -65*i**2 + 6*i + 2. Calculate h(w(t)).
-65*t**4 + 6*t**2 + 2
Let y(c) = -48*c - 48855. Let u(t) = 3*t. Determine y(u(g)).
-144*g - 48855
Let f(w) be the second derivative of w**4/6 - 93*w**2/2 + 3*w + 102. Let b(j) = -9*j. Calculate f(b(p)).
162*p**2 - 93
Let l(f) = -61*f**2. Let p(x) = -136102*x. Give p(l(r)).
8302222*r**2
Let k(t) = 14*t**2. Let x(b) = -140*b + 4 + 41*b - 4 - 3*b. Determine k(x(v)).
145656*v**2
Let j(d) = 297*d**2. Let p(f) = -268466*f**2. Determine j(p(c)).
21405975967332*c**4
Let u(x) = 215*x. Let o(c) be the second derivative of -5*c**3/6 - c**2 + 9964*c. Give o(u(l)).
-1075*l - 2
Let g(v) = -v**2 + v. Let j(q) = -2 - 12*q + 16*q**2 + 1 + 1. Let x(r) = -24*g(r) - 2*j(r). Let f(y) = 94*y**2 + 90*y**2 + 91*y**2 - 277*y**2. What is f(x(n))?
-128*n**4
Let q(a) = -127*a. Let b(l) = -l**2 + 4*l - 1800. Give b(q(u)).
-16129*u**2 - 508*u - 1800
Let o(j) = 13*j. Let s(w) = -189*w. Let m(x) = 72*o(x) + 5*s(x). Let y(a) be the second derivative of -5*a**4/6 + 19*a - 7. Give m(y(r)).
90*r**2
Let h(k) = 3*k**2. Let l(b) = 12*b**2 + 2*b - 24*b**2 - 23*b**2 + 36*b**2 - 22*b. Calculate l(h(q)).
9*q**4 - 60*q**2
Let d(z) = 2*z + 12. Let q(t) be the first derivative of -4*t**3/3 - 9*t**2/2 - 1730. Calculate q(d(x)).
-16*x**2 - 210*x - 684
Let d(o) = -o. Let l = -4838 + 4838. Let r(v) be the third derivative of -8*v**2 + 0*v + 0*v**4 + l + 0*v**3 + 11/15*v**5. Determine d(r(y)).
-44*y**2
Let v(c) = 1548*c. Let x(q) = -12466*q. Give x(v(w)).
-19297368*w
Let y(h) = 4*h**2. Let s(w) = 9*w**2 + 19402. Calculate s(y(z)).
144*z**4 + 19402
Let z(v) = -2*v**2 + v - 12406882. Let q(t) = 10*t. What is q(z(c))?
-20*c**2 + 10*c - 124068820
Let x(w) = 20*w**2. Let b(i) be the second derivative of -1 - 34*i + 0*i**3 + 0*i**2 + 7/12*i**4. Determine b(x(s)).
2800*s**4
Let f(i) = 578*i**2 + 3774*i**2 + 156*i**2 - 1 + 1. Let n(b) = -2*b**2. Calculate f(n(y)).
18032*y**4
Let a(d) be the second derivative of 0*d**3 + 0*d**2 + 2*d + 4 + 7/3*d**4. Let z(m) = 7*m. Calculate z(a(g)).
196*g**2
Let b(w) = -5368*w**2 + 183*w. Let s(h) = 59*h**2 - 2*h. Let r(d) = 2*b(d) + 183*s(d). Let t(v) be the first derivative of v**3 - 344. Give
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when x(1) is divided by 10?
9
Let v = 27 + -73. Suppose -82*o = -86*o + 284. Let a = v + o. What is the remainder when 74 is divided by a?
24
Let i be 2/6*-8*-3. Let d = 11 - i. What is the remainder when 4 is divided by d?
1
Let x = -13 - -29. Let z(i) = 8*i**2 - i - 3. Calculate the remainder when z(-2) is divided by x.
15
Let r(y) = 61*y - 2. Let g be r(2). Suppose -6*m = -m - g. Calculate the remainder when m is divided by 9.
6
Let w(s) = 2*s**2 - 3*s + 1. Let u be w(2). Suppose -43 = -4*v - 3*p, -5*v + v + u*p + 13 = 0. What is the remainder when v is divided by 2/5 + (-26)/(-10)?
1
Suppose 5*o = 5 + 35. Let b(y) = 2*y + 3. What is the remainder when 35 is divided by b(o)?
16
Suppose -2*y + 3*y + 10 = -5*g, g - 19 = 4*y. What is the remainder when (44 - -1) + (-5)/y is divided by 24?
22
Let j = -33 - -47. What is the remainder when 54 is divided by j?
12
Let f(x) = -x**2 + 6*x. Let k be f(6). Suppose 4*g - 4*b - 88 = 0, 2*g + k*b - 3*b - 39 = 0. What is the remainder when g is divided by 14?
13
Suppose 0 = 4*y + 4*b + 692, 2*b = -4*y - 3*b - 695. Let p = 100 + y. Let l = p - -116. What is the remainder when l is divided by 16?
14
Let f(l) = -6*l - 18. Suppose -3*o + 74 + 25 = 0. Calculate the remainder when o is divided by f(-6).
15
Suppose -2*l = -4*l + 24. Suppose d - l = -3*d, j + 3*d - 19 = 0. Let y = j - 5. What is the remainder when y is divided by 4?
1
Let f = 171 - 87. What is the remainder when f is divided by 29?
26
Let t = -9 - -20. Let h = -6 - -10. Calculate the remainder when t is divided by h.
3
Suppose -20 = -4*o - 5*u + 5, -5*o + 5*u - 25 = 0. Suppose 4*c + 2*h - 46 = 0, o = -3*c - 5*h + 2*h + 39. Calculate the remainder when 19 is divided by c.
9
Suppose 0 = a + 1 - 9. Suppose -43 = -j - 5*f, 0*f = 5*j + 3*f - 127. Calculate the remainder when j is divided by a.
7
Suppose -h + 3*h - 8 = 0. Suppose -h*r + 10*r = 78. What is the remainder when 38 is divided by r?
12
Suppose 0 = 2*l - 114 - 10. Suppose -5*p + l + 13 = 0. Suppose 0 = z - 1 - 7. What is the remainder when p is divided by z?
7
Let f = -53 + 120. Let x(z) = 5*z + 52. Calculate the remainder when f is divided by x(-7).
16
What is the remainder when 2424/18 + 2/(-3) is divided by 34?
32
Let o = -10 + 13. Suppose -o + 65 = 2*a. Calculate the remainder when a is divided by 11.
9
Suppose -l = -10*l + 45. Calculate the remainder when 38 is divided by l.
3
Suppose -5*x - 27 = -d, 21 = 4*d - d - 3*x. Let t be d/3*(-2 + 35). Suppose -2*f - 2 + t = 0. What is the remainder when 18 is divided by f?
8
Suppose 0 = -0*s - s + 5. Suppose -o - s*b - 18 = o, -3*o + b = -7. Calculate the remainder when (8 - -2)/(o + 1) is divided by 2.
1
Let d = -10 - -21. Let m = -52 - 10. What is the remainder when (3/6)/((-1)/m) is divided by d?
9
Calculate the remainder when 33 is divided by (-6)/(-2 - -1) - -3.
6
Suppose 0*j - 28 = -j. Calculate the remainder when 82 is divided by j.
26
Suppose 2 = -2*p + 26. Calculate the remainder when (-44)/(-2) - (-2)/(-2) is divided by p.
9
Suppose -o - 1 - 1 = 0, 0 = -5*f - 4*o - 3. Suppose r - 2*r = f. Let p = 6 - r. Calculate the remainder when 19 is divided by p.
5
Let m(i) = -6*i**2 + 7 + i**3 + i - i. Let w(g) = 2*g - 1. Calculate the remainder when m(6) is divided by w(2).
1
Suppose 1 = b - 2. Let p(s) = -10*s + 3. Let u be p(b). Calculate the remainder when u/(-33) + 4/22 is divided by 1.
0
Suppose -1 - 3 = -2*g. Suppose 4*u + 8 = 3*w + w, -w - 2*u + 5 = 0. What is the remainder when w is divided by g?
1
Suppose 302 - 18 = 4*s - 4*l, 3*l = -2*s + 157. Calculate the remainder when s is divided by 25.
24
Let b(f) be the first derivative of f + 6 + 4*f**2 + 0*f**2 + 3*f - 3. What is the remainder when b(3) is divided by 15?
13
Suppose -4*y + 84 = 4*o, -3*y = -3*o - 2*o + 65. Let v(t) = -t**2 - t - 1. Let q be v(0). What is the remainder when o is divided by 0 - (q - 2)*2?
4
Suppose a - 5 = 9. Calculate the remainder when 53 is divided by a.
11
Let h = 25 - -28. Calculate the remainder when h is divided by 27.
26
Let r be -2 - ((-4)/(-2))/(-2). Let o = r + 4. Calculate the remainder when -4 + -1 + o - -5 is divided by 2.
1
Let c = -92 + 130. What is the remainder when 70 is divided by c?
32
Let k(b) = -b**3 + 12*b**2 - 17*b - 13. What is the remainder when 65 is divided by k(10)?
14
Let q(y) = y - 2. Let r be q(6). Let o be 112/(-4)*(-3)/6. What is the remainder when r/(8/o)*1 is divided by 3?
1
Let a(t) = 3*t**2 - t + 1. Let l = 16 - 11. Suppose -l*h = -115 + 35. What is the remainder when a(-3) is divided by h?
15
Suppose -1 + 5 = c. Calculate the remainder when 10 is divided by c.
2
Suppose 5*r - 10*r = -20. Suppose -3*v = r*k + 49 - 248, -3*v - 46 = -k. Suppose -3*i + 52 = 1. What is the remainder when k is divided by i?
15
Suppose 4*x - 5 + 45 = 0. Let n = x - -16. Let w(u) = u**3 - 7*u**2 + 8*u. Calculate the remainder when w(n) is divided by 7.
5
Suppose 5*m - 2*p - 89 = 0, -2*m - p + 2*p + 36 = 0. Suppose 3*t = t - 3*j - 21, -3*t + 5*j - 79 = 0. What is the remainder when m is divided by t/15*(0 - 5)?
5
Let l be 81/18 + (-1)/(-2). Suppose -l*c = -c - 32. Calculate the remainder when c is divided by 3.
2
Let j(y) = -4*y**3 + 2*y + 1. Let l be j(-1). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s).
-4*(s + 6)*(7*s - 2)**2/7
Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0.
-2, 88
Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3.
(t - 6)*(t - 1)**2/5
Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0.
-1, 0, 1, 2
Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0.
-80, -2/5, 1
Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h.
70
Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0.
0, 1, 2, 4
Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m.
-2, 0, 3
Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2.
-5*(a - 8)*(a - 1)
Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z.
-1, 117
Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0.
-1, 1, 3
Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k?
-7, -2, 5
Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0.
0, 71
Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o.
-3, -1
Let g**2 - 57/7*g + 50/7 = 0. Calculate g.
1, 50/7
Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x?
-2, -1, 2
Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0.
-1, 0
Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g?
-2, -1, 0
Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c).
-c**2*(c - 2)
Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m.
-1, 7
Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x?
-9, -1, -2/3, 1
Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0?
-2, 0, 56
Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0.
-2, 0
Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0.
1, 2
Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2.
-5*(x + 1)**2/4
Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0.
-9, -1/2, 1
Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m.
3*j*(j - 1)**2
Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o?
0, 2, 3
Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c).
3*c**2*(c + 1)*(5*c + 1)
Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x.
0, 1, 15
Let v(a) be the third derivative of a**7/42 - a**6/3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
se j - o = -w*j. Is j a multiple of 12?
True
Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)?
False
Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w?
False
Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y?
True
Let w(t) be the third derivative of 1/120*t**6 + 0*t + 1/6*t**5 - 1/8*t**4 + 2*t**2 + 0 - 7/6*t**3. Does 23 divide w(-10)?
True
Let n(g) = 238*g - 60. Is 13 a factor of n(2)?
True
Suppose -13*s - 11*s = -12144. Does 11 divide s?
True
Let g be (-96)/(-9) + (-4)/6. Suppose -672 - 348 = -g*c. Does 34 divide c?
True
Suppose 0*x = -8*x + 32. Suppose c = 5, -2*h = -0*h - x*c + 2. Is 3 a factor of h?
True
Does 2 divide 2/4 - ((-796)/8 + 5)?
False
Suppose -2*x = -4*f - 644, -2*x + f = -3*x + 334. Is x a multiple of 22?
True
Let k = 118 + -58. Is 24 a factor of (15/k)/(2/872)?
False
Suppose 5 = -m + 2*g - 3*g, 0 = 4*g + 12. Let x = m + 33. Is 17 a factor of x?
False
Let j(v) = 18*v - 2. Let l be j(1). Let w(b) = -b**2 + 15*b + 24. Does 3 divide w(l)?
False
Let v(t) = -10*t**3 - 5*t**2 - 5*t - 4. Let l be v(-4). Suppose -6*d + l = -3*d. Suppose 10*z = 2*z + d. Is z a multiple of 6?
True
Let p(k) = -k**3 - 8*k**2 - 12*k - 3. Let c be p(-6). Let s(l) = -l**2 + 2*l. Let i(f) = f + 1. Let u(a) = -3*i(a) - s(a). Is u(c) a multiple of 7?
True
Let v(u) = -u**3 + 12*u**2 + 15*u + 9. Let r be v(13). Is 4 a factor of (-2)/5 - (-154)/r?
True
Let g be 289/2 - (-4 + -4)/(-16). Suppose -61*z = -67*z + g. Does 4 divide z?
True
Let t = 64 + -150. Is (-2 - -4)/(-2) - t a multiple of 17?
True
Does 65 divide (-880)/132*(1456/(-10) + -2)?
False
Suppose 8*a = 13*a - 35. Does 6 divide 1250/35 - (-2)/a?
True
Let o = 808 - 582. Does 3 divide o?
False
Let x be (-1)/(1*(-2)/8). Suppose 0 = -0*o - 4*o + 4*q + 208, 0 = o - x*q - 43. Is o a multiple of 11?
True
Let a(z) = -z**3 - z**2 - 3*z - 1. Let l be 6/(6*(-3)/(-24)). Suppose -5*h = l + 7. Does 13 divide a(h)?
True
Let h(b) = -b**3 - 3*b**2 + 4*b + 12. Let c(n) = n**3 - 6*n**2 + 7*n - 1. Let t be c(3). Does 15 divide h(t)?
True
Suppose -162 = 172*z - 199*z. Is 2 a factor of z?
True
Suppose 47*r - 53550 = 37*r. Does 33 divide r?
False
Let h(z) = z**2 - 19*z - 108. Does 6 divide h(25)?
True
Let y = -3 - 2. Let s(m) = -2599 + 2*m**2 + 1298 - m**2 + 1305. Does 16 divide s(y)?
False
Let b(m) = m**3 + 5*m**2 - 3*m - 6. Suppose 2*t = 6, 5*w + 4 = -4*t + 2*t. Let c be (w/5)/(7/70). Does 9 divide b(c)?
False
Suppose 0*i = 3*i - 4*j - 1425, -3*j + 475 = i. Let y = i - 210. Suppose -5*h = -0*h - y. Is h a multiple of 22?
False
Let m(n) = -13*n + 1. Let i be m(-2). Let y = i - 12. Is y even?
False
Let c(h) = 1 - 5*h + 7*h + 1 + 1. Let w(n) = -2*n - 4. Let z(a) = -6*c(a) - 5*w(a). Is z(-2) even?
True
Suppose -5*b = 3*b - 128. Let a = 33 - b. Is a a multiple of 3?
False
Let y be 3/(-18) - (-2521)/6. Suppose -2*o + y + 180 = 0. Suppose -o = 2*r - 6*r. Does 15 divide r?
True
Suppose -1520 = 17*f - 4223. Is f a multiple of 30?
False
Let i = -16 + 29. Let j(q) = -q**3 + 11*q**2 + 31*q - 7. Does 8 divide j(i)?
False
Let w be -24 - (-3 + 2 - -1). Let z = -12 - w. Suppose 5*i = 4*y - z - 63, 3*y = 5*i + 50. Does 17 divide y?
False
Let t = 461 + -276. Is 2 a factor of t?
False
Let o(n) = n - 1. Let k(d) = -73*d**2 + 2*d - 10. Let q(b) = -k(b) + 6*o(b). Is 14 a factor of q(-1)?
False
Suppose 12*z - 5893 = -1465. Is 57 a factor of z?
False
Suppose 0 = -3*b + f + 10, -2*b - 4*f + 2 = -0*f. Does 4 divide b/9 + (-235)/(-15)?
True
Suppose 0 = -7*y + 2*y + 280. Is y a multiple of 7?
True
Let n = 99 + 15. Does 23 divide n?
False
Suppose 3*v - 11 = 2*f - 2, -9 = -4*f - 3*v. Let a be 3 - ((-3)/3 + f). Suppose -a*i = -3*r + 8*r - 51, -5*r = i + 6. Is 15 a factor of i?
False
Suppose 2*d + 4*f - 2424 = 0, -4 = -3*f - 16. Is d a multiple of 10?
True
Let g = 2981 + -461. Is 36 a factor of g?
True
Let s = -13 + 60. Suppose 3*w - 502 = 4*h, -2*h - 609 - s = -4*w. Is w a multiple of 17?
False
Suppose 48 = 9*s - 3*s. Does 4 divide s?
True
Does 9 divide (-78 - 3)*-7 - 0/(-3)?
True
Let m = -6990 + 11385. Is m a multiple of 15?
True
Let n = 298 + 292. Is n a multiple of 14?
False
Suppose 8 = -2*j + 6*j. Suppose 2*t - 5*u + j = -12, 4*t = -2*u + 20. Is 40/t + 14/21 a multiple of 14?
True
Suppose 0 = 6*x - 10*x + 48. Suppose x*v = 15*v - 114. Is 38 a factor of v?
True
Is 20 a factor of (-65)/10*1312/(-8)?
False
Let g be
|
{
"pile_set_name": "DM Mathematics"
}
|
e the prime factors of b(1)?
3, 1787
Suppose 45*h = -21*h + 91*h - 268725. List the prime factors of h.
3, 3583
Suppose -o - 4 = 0, -2*h + 232 = -o + 16. Suppose -t - 6 = t, q - h = -5*t. List the prime factors of q.
11
Let c(k) = -19*k**3 - 9*k**2 - 9*k - 19. Let b be c(-6). Suppose -6*u = -1711 - b. List the prime factors of u.
3, 307
Suppose 30*m + 127128 = 777648. List the prime factors of m.
2, 3, 13, 139
Let y be (4 - 574/21)/(2/24). Let s = -66 - y. Let i = -139 + s. List the prime factors of i.
3, 5
Suppose 0 = -136*l + 75*l + 1133316 + 1304671. What are the prime factors of l?
17, 2351
Suppose -10 - 23 = -11*d. Suppose -d*o - 34 = -o. Let w = 64 - o. List the prime factors of w.
3
Let k = 365 + -988. What are the prime factors of (-4)/(28/k) + 7?
2, 3
Let d be 5*((-2)/(-3) + (-16)/60). Suppose -117 = -d*m + 21. Suppose -183 - m = -4*v. What are the prime factors of v?
3, 7
Suppose -3*b + 10 + 8 = 0. Let o be (-4)/((-8)/(-15))*b. What are the prime factors of o/(-20)*(178/3 - -2)?
2, 3, 23
Suppose -4*y = y + 65. Let t = y - -16. Suppose 0 = 3*x - 5*r - 347, -3*r = -t*x + 213 + 132. What are the prime factors of x?
2, 3, 19
Let x(y) = -y**3 - 11*y**2 + 7*y + 30. Suppose c = -4*j - 28, -4*j - 24 = c - j. Let n be x(c). List the prime factors of (0 - n)*(20 - 21).
2, 3, 5
Suppose s = 5*s - 4*p - 24, 0 = 2*p + 8. Suppose -k + 0 + s = 0. Suppose 0 = 2*g - u - k*u - 18, 11 = g - u. List the prime factors of g.
3, 5
Let y be 3*((-1)/3 + 0) - -3115. Suppose -9766 = 7*v + y. List the prime factors of (v/(-32))/((-2)/(-4)) + -3.
2, 7
Suppose 671*p = 1315*p - 659*p + 444765. List the prime factors of p.
149, 199
Let c = 10385 + -6123. List the prime factors of c.
2, 2131
List the prime factors of (-38)/(-247) - (-3434123)/143.
3, 5, 1601
Suppose -872679 = -79*k + 625556. List the prime factors of k.
5, 3793
Let z(l) = -5*l + 6. Let k be z(4). List the prime factors of 3/(-2)*(k*125)/7.
3, 5
Let f be 1983/21 + (-48)/112. Suppose 5*q - 7 = -17. Let m = f - q. What are the prime factors of m?
2, 3
Suppose 2*g + 11658 = 2*c, -11*g - 17467 = -3*c - 12*g. What are the prime factors of c?
2, 7, 13
Let d(b) = -1085*b - 2399. What are the prime factors of d(-16)?
3, 4987
Suppose -3*c + 1539 - 333 = 0. Suppose -c = -6*o - 0*o. Suppose 86 + o = h + 2*b, 0 = 4*h + 2*b - 642. List the prime factors of h.
163
Let t = -136 + 196. Let h = 76 - t. Suppose -7*m - 2*p + h = -5*m, 0 = -5*m + 2*p + 68. List the prime factors of m.
2, 3
Let v(c) = -2*c**2 - 402*c - 952. List the prime factors of v(-79).
2, 3, 509
Suppose -6*n + 1183 + 28475 = 0. List the prime factors of n.
4943
Let h = -385 - -418. Suppose 5*g - 8191 = 3*s, -h*g + 28*g + s + 8187 = 0. List the prime factors of g.
1637
Let o(c) = 289*c**2 + 5*c - 10. Let r(k) = k**2 - k. Let f(g) = o(g) - 6*r(g). What are the prime factors of f(1)?
2, 71
Suppose -4*u = 5*j - 8*j - 76, 5*j + 125 = 5*u. Let y(x) = -45*x - 190. List the prime factors of y(j).
2, 5, 89
Let t be (-1218)/(-252) - 2/(-12). Suppose 6*x - 8*x = -5*j - 2368, t*j - 3527 = -3*x. What are the prime factors of x?
3, 131
Let o = -20 + 7. Let p = o + 27. Let y(j) = j**3 - 13*j**2 - 11*j - 12. What are the prime factors of y(p)?
2, 3, 5
Let d = 156 + -154. List the prime factors of 449 - (1/(-3))/(d/(-30)).
2, 3, 37
Let l be (172/20 - 3) + (-3)/5. Suppose 5*u - f + 3*f = 4190, l*u + 5*f - 4205 = 0. What are the prime factors of u?
2, 11, 19
Suppose 4*x - 2*r = 601 + 1011, 0 = -x + 4*r + 417. Let n = x + -173. What are the prime factors of n?
2, 3, 19
Suppose -13862420 = -73*q - 147*q. List the prime factors of q.
13, 37, 131
Let c = -117 - -102. List the prime factors of (24/c)/(1/(-235)).
2, 47
Suppose -16 = -4*w + 2*i - 4, 5*w = 5*i + 25. Suppose 0 = c - w - 2. List the prime factors of 214/c*(-6)/(-4).
107
Let k(a) = 5 - 5 + a - 9 + 28*a**2. Let h be k(-7). Suppose -7*b - 5*b + h = 0. What are the prime factors of b?
113
Suppose -36*n = -38*n + 11046. Let r = -3733 + n. List the prime factors of r.
2, 5, 179
Let o = 16 + -11. Suppose -5*p + 2*q + 76 = -p, -o*q - 105 = -5*p. What are the prime factors of p?
17
Let s(i) = 692*i**2 - 5*i + 5. List the prime factors of s(3).
2, 3109
Let i(a) be the third derivative of -a**6/120 - 7*a**5/20 - 37*a**4/24 + 16*a**3/3 - 159*a**2. What are the prime factors of i(-19)?
13
Suppose 4*p - 5*f - 1303 = 0, -1660 + 27 = -5*p + 2*f. Suppose -5*c - 141 = 4*h - 1758, -c - 2*h = -p. List the prime factors of c.
3, 107
Suppose 0 = 4*k - 2*s - 6708, 2*k = -3*k - 5*s + 8340. List the prime factors of k.
2, 3, 31
Suppose 489 = 18*p + 93. Suppose -23*u + 401 = -p*u. List the prime factors of u.
401
Suppose 0 = -2*p + 4*o + 32, p + 6*o - 5*o - 25 = 0. Suppose 35*k - 4979 = p*k. List the prime factors of k.
|
{
"pile_set_name": "DM Mathematics"
}
|
rom amgxf. Give prob of picking 1 a, 1 x, 1 f, and 1 g.
1/5
What is prob of picking 3 m when three letters picked without replacement from qmqqmmmqmqqqmqqmmqmq?
7/95
What is prob of picking 1 l and 1 m when two letters picked without replacement from {x: 2, m: 4, l: 5}?
4/11
Three letters picked without replacement from {a: 7, d: 3}. What is prob of picking 3 d?
1/120
Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {u: 9, x: 2}.
24/55
Calculate prob of picking 3 w when three letters picked without replacement from wwwwwcwwwwccccwwmw.
55/204
What is prob of picking 2 y when two letters picked without replacement from edmyonodymnnymom?
1/40
Calculate prob of picking 3 e and 1 f when four letters picked without replacement from ffeeeeffwfffweee.
7/52
Four letters picked without replacement from {s: 2, u: 3, x: 2, w: 4, h: 1, m: 2}. What is prob of picking 1 x, 2 s, and 1 h?
2/1001
Calculate prob of picking 4 y when four letters picked without replacement from {p: 1, e: 1, y: 3}.
0
Calculate prob of picking 1 y, 1 t, and 2 h when four letters picked without replacement from hhyyhyhhyyyhhhyytyh.
27/323
Four letters picked without replacement from {m: 3, q: 2, x: 1, k: 4, r: 1, t: 7}. Give prob of picking 1 k, 1 r, 1 m, and 1 q.
2/255
Two letters picked without replacement from ccduccfid. What is prob of picking 2 c?
1/6
Two letters picked without replacement from {s: 4, m: 1, e: 8, k: 2, c: 4}. Give prob of picking 1 s and 1 k.
8/171
What is prob of picking 3 c and 1 p when four letters picked without replacement from cxxchpcpc?
4/63
Four letters picked without replacement from {g: 1, z: 6, b: 2, y: 3, h: 2, e: 5}. What is prob of picking 2 e, 1 b, and 1 g?
5/969
Calculate prob of picking 2 n when two letters picked without replacement from {a: 2, n: 10}.
15/22
Two letters picked without replacement from {d: 4, f: 4, s: 11}. What is prob of picking 2 f?
2/57
Calculate prob of picking 1 g and 2 i when three letters picked without replacement from cjiccjccgci.
1/165
Two letters picked without replacement from iixiiiiiixixxiiiii. Give prob of picking 2 x.
2/51
Four letters picked without replacement from {r: 3, j: 7, q: 6, d: 1}. Give prob of picking 1 d, 1 j, and 2 q.
3/68
What is prob of picking 1 a, 1 m, and 1 e when three letters picked without replacement from ggigggaejgamegggggga?
1/190
What is prob of picking 1 i, 1 y, and 1 h when three letters picked without replacement from hhwhrawiyhhaw?
5/286
Three letters picked without replacement from {k: 1, r: 3}. What is prob of picking 3 r?
1/4
What is prob of picking 1 b and 3 l when four letters picked without replacement from {b: 3, l: 3}?
1/5
Three letters picked without replacement from lffvffmmmpmmmff. Give prob of picking 1 f, 1 m, and 1 v.
36/455
Three letters picked without replacement from {f: 6, y: 12}. What is prob of picking 2 y and 1 f?
33/68
Calculate prob of picking 2 q and 2 z when four letters picked without replacement from qzzzzzzqqzz.
14/55
Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {i: 3, j: 7, q: 2, n: 3, o: 3}.
1/272
Two letters picked without replacement from {j: 4, s: 1, v: 5, c: 1}. What is prob of picking 2 v?
2/11
Three letters picked without replacement from {x: 1, p: 1, v: 1, t: 1, f: 2, i: 2}. Give prob of picking 1 i, 1 v, and 1 f.
1/14
Three letters picked without replacement from {d: 5, h: 7}. What is prob of picking 2 h and 1 d?
21/44
What is prob of picking 1 p and 2 h when three letters picked without replacement from {c: 1, p: 4, h: 3}?
3/14
What is prob of picking 1 d, 1 x, 1 k, and 1 f when four letters picked without replacement from xydkxfxxd?
4/63
Calculate prob of picking 2 d when two letters picked without replacement from {a: 2, d: 3, u: 2, y: 9}.
1/40
Four letters picked without replacement from pygpfygmfpgggpggpppp. Give prob of picking 2 f and 2 g.
7/1615
Four letters picked without replacement from {j: 14, b: 5}. Give prob of picking 4 j.
1001/3876
Calculate prob of picking 3 p and 1 a when four letters picked without replacement from tpadappapa.
8/105
What is prob of picking 1 h and 1 o when two letters picked without replacement from {o: 1, r: 1, h: 1}?
1/3
Four letters picked without replacement from {d: 3, h: 7, k: 1, f: 1}. Give prob of picking 1 f and 3 d.
1/495
Calculate prob of picking 1 f and 1 n when two letters picked without replacement from yfngdnn.
1/7
What is prob of picking 2 e and 1 z when three letters picked without replacement from feuiiifeigiiiizfeiii?
1/380
Calculate prob of picking 4 l when four letters picked without replacement from llllllllll.
1
Four letters picked without replacement from xxuubqpwxxwqxb. What is prob of picking 3 x and 1 b?
20/1001
What is prob of picking 1 b and 2 s when three letters picked without replacement from bwswbswswwwssbsww?
9/136
Two letters picked without replacement from kkalla. What is prob of picking 2 l?
1/15
Calculate prob of picking 2 a and 1 q when three letters picked without replacement from asxqa.
1/10
Calculate prob of picking 2 d when two letters picked without replacement from dddddddddddrddd.
13/15
What is prob of picking 1 p, 1 w, and 1 i when three letters picked without replacement from {i: 1, b: 1, l: 2, c: 8, w: 1, p: 1}?
1/364
What is prob of picking 1 s, 2 y, and 1 l when four letters picked without replacement from {l: 2, s: 5, y: 2, z: 2, n: 2}?
2/143
Three letters picked without replacement from fmpmppmfmmppmpmmpmf. What is prob of picking 1 f and 2 m?
36/323
Calculate prob of picking 1 w and 3 v when four letters picked without replacement from wwvwwvwwwvw.
4/165
Calculate prob of picking 3 k and 1 z when four letters picked without replacement from {j: 5, z: 1, l: 5, k: 6}.
1/119
Calculate prob of picking 1 n and 1 s when two letters picked without replacement from sny.
1/3
Calculate prob of picking 3 g when three letters picked without replacement from gggggggyygg.
28/55
Three letters picked without replacement from {u: 1, t: 3, n: 1, l: 1, x: 2, j: 3}. Give prob of picking 1 u, 1 x, and 1 l.
2/165
Calculate prob of picking 1 j and 1 c when two letters picked without replacement from frjcfcrovoff.
1/33
Calculate prob of picking 1 x, 1 v, and 1 c when three letters picked without replacement from ttvcxvv.
3/35
Three letters picked without replacement from snqaqac. Give prob of picking 1 n, 1 c, and 1 s.
1/35
Calculate prob of picking 1 d, 2 o, and 1 p when four letters picked without replacement from ttottrhropddrtttttt.
1/1938
What is prob of picking 1 c and 1 w when two letters picked without replacement from {w: 9, c: 5}?
45/91
Calculate prob of picking 2 h when two letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
*d - 14 + 104 = 0. Solve -p*k + 15 = -d*k for k.
-5
Suppose -u - 9 = 2*z - 5*z, -3*z - 4*u + 24 = 0. Let b = 39 - 39. Suppose 6*t - t - 10 = b. Solve -z*n = -t*n + 8 for n.
-4
Let n = -26 - -31. Let b(t) = -9*t + n*t - 21 - t. Let v be b(-5). Solve -v = -2*q - 2*q for q.
1
Let i(w) = w - 4. Let j be i(4). Let o = 753 + -640. Let t = -110 + o. Solve j = t*q + q + 16 for q.
-4
Let d = -4138 - -4138. Suppose -5*p = -5*s + 5, -p + 1 = -2*s + 2*p. Solve -s*i + 4 + 0 = d for i.
1
Suppose -4708 = -5*u - 3*m, -925*m + 926*m + 1892 = 2*u. Solve u*x - 945*x - 2 = 0 for x.
-2
Suppose 18 = -218*s + 219*s + 5*l, 36 = 3*s - 3*l. Solve 0 = -14*i - s*i - 54 for i.
-2
Let i(h) = 23 - 1 + 3*h + 5 - 4*h. Let b be i(22). Solve b*k + 4 = -11 for k.
-3
Suppose 0 = 3*m - 6*m + 75. Suppose -3*c = -5*c - 8, -5*c = -3*s - m. Let h be (-2)/6 + (-110)/s + -1. Solve -h = -2*l + 5*l for l.
-2
Let d be (14*(-88)/(-385))/(4/30). Suppose -8*z = -d*z + 13*z. Solve z = f - 9 + 4 for f.
5
Let p = -1 - -5. Suppose l + 0*l - 7 = 0. Suppose -k = l*k - 16. Solve 2*h = -k*h + p for h.
1
Suppose 5*c - 78 = -38. Let w be ((-15)/9)/(2/(-6)). Suppose m - 4*g + 13 = 33, 0 = w*m + 5*g. Solve c*h - m*h + 8 = 0 for h.
-2
Suppose -18*i + 20*i - 4*a - 28 = 0, a + 7 = 2*i. Solve i = 33*r + 6*r - 234 for r.
6
Suppose 27*k - 42231 = 8*k - 2*k. Solve -7*d = -1997 + k for d.
-2
Suppose -21 = -a - 6*a. Let x(j) = 14 - 8 - 4*j**2 + 0 - a*j - 10*j + j**3. Let z be x(6). Solve z = -0*l + 4*l for l.
0
Let t = 2134 - 2131. Solve t*l - 27*l = 0 for l.
0
Let b(v) = 22*v + 9. Let i be b(2). Let q = i - 47. Let f be -4 - ((-8)/2 - 0). Solve f = -s - s + q for s.
3
Let y(a) = -a**2 - 2*a + 190. Let x = -719 - -706. Let d be y(x). Solve 0 = -51*p + d*p - 12 for p.
-3
Let n(w) = -8*w - 36. Let q = 29 - 34. Let a be n(q). Solve -a*d = -d for d.
0
Suppose -1750*i + 1755*i - 5*n = 105, -3*n + 3 = 0. Solve 62 = -i*l - 9*l for l.
-2
Suppose 104*s = 102*s + 36. Let a be (-27)/s - ((-38)/4 + -1). Solve 0*x + 3*x + a = 0 for x.
-3
Suppose 4*r + r = -i - 5, -3*i + 2*r + 53 = 0. Let n(d) = -d**2 + 17*d - 73. Let x be n(12). Let z = x + i. Solve z + 2 = -4*g for g.
-1
Let r = 16076 + -16076. Solve -65*y - 41 - 479 = r for y.
-8
Let g(z) = 2*z**2 - 8*z + 3. Let b be g(-3). Let w be 9*(-3 - ((-725)/b)/5). Solve 0 = a - 0 + w for a.
-2
Let b = -35756 - -35854. Solve 0 = 48*p + 2 - b for p.
2
Let p = -106 - -149. Suppose 0 = -f - 37 + p. Solve 3*v = -0*v + f for v.
2
Let n(u) = -186*u + 12658. Let d be n(67). Solve -207*z + 88 = -d*z for z.
8
Let t(i) = -2*i**3 - 11*i**2 + 113*i - 1. Let p be t(-11). Solve 12*g - p + 51 = 0 for g.
3
Suppose -h - 328 + 393 = 0. Suppose 0*b - h = -5*p + 5*b, 2*p + 2*b - 34 = 0. Solve p - 3 = 6*y for y.
2
Let p be 3/(-7*(-12)/140). Suppose -4*v + 57 = -p*j, 11 - 39 = -v + 4*j. Solve 0 = 2*f + 4 - v for f.
2
Let n = 67 - 61. Let d be n/4*(3 - (-4)/12). Suppose -4*q = 4*x + 16, -4*x - 29 = -d*q - 4. Solve -11 = -4*k + q for k.
3
Let m be ((-8)/(-5))/((-95)/(-25) + -4). Let q(h) = -7*h - 52. Let a be q(m). Suppose -a*c + 16 = -84. Solve -7*s = -2*s - c for s.
5
Suppose 6*i = -3*v + 81, -75*i + 103 = 5*v - 73*i. Solve 0 = 23*o - v*o for o.
0
Let t = 118 + -101. Let d be t - 14 - (1*-4)/2. Solve d*u = -2 + 17 for u.
3
Suppose 5*x - 4 + 9 = 0. Let b(w) = -182*w**3 + 2*w**2 - w + 1. Let o be b(1). Let f be (o/63)/(x/7). Solve 2*v - f = -3*v for v.
4
Let r(s) = s**3 + 7*s**2 - 6*s - 20. Let h be r(-4). Suppose -5*l - 7 + h = 0. Solve -l = w - 7 for w.
-2
Let z be (-370)/(-25) + -15 + (-42)/15. Let s(b) be the second derivative of b**5/20 + 5*b**4/12 + b**3 + 2*b. Let a be s(z). Solve h = -a*h for h.
0
Let c = -29843 + 30340. Solve -507*u - 90 = -c*u for u.
-9
Let x = -1219 + 1238. Solve -35*s + x = 264 for s.
-7
Suppose 3*f + 4*u - 695 = 0, -4*f + 38*u + 880 = 34*u. Solve 209 - f = -8*b for b.
2
Suppose -2*a - 56 = -10*f + 5*f, -a - 3 = 0. Suppose f*q - 23 = -23. Solve -s + 4*s = q for s.
0
Let x = -47725 + 47730. Solve x*c = 3827 - 3822 for c.
1
Let s(c) = -c**2 - c + 16. Let w be s(0). Suppose 6*z = -66, -34*b = -36*b + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
Put together -0.192 and -920322024764.
-920322024764.192
Put together -0.51 and 34615850.13.
34615849.62
Subtract -3 from 11219290.35965.
11219293.35965
Calculate 519437849 + -59035.
519378814
What is the distance between 5.298 and 224113315?
224113309.702
Subtract -5 from -509083577066.
-509083577061
1376344480991 + 0.93
1376344480991.93
Add together 0.122 and -56785442388.
-56785442387.878
Subtract 270916 from 7.613635.
-270908.386365
What is -452.38 + -85620679?
-85621131.38
Add together -51 and -17.1567303.
-68.1567303
Work out -29154454219 - -15.056.
-29154454203.944
Total of 34213037.6 and 3803532.
38016569.6
Total of -16 and 1449183.631798.
1449167.631798
Sum -30489664394 and -484.
-30489664878
Add -1.61 and -25347947140.
-25347947141.61
Put together -11.45880274145 and 9.
-2.45880274145
Subtract -131 from -1550925285.
-1550925154
What is -3.71 less than 152744477060?
152744477063.71
What is the distance between 4778999.96 and 2622.34?
4776377.62
13086047+12125813
25211860
Calculate -0.089 + 233231.678.
233231.589
Calculate 5 - 8825.1781076.
-8820.1781076
Work out -2332 + 12127041988.
12127039656
Work out 3.84 + -2252305041.
-2252305037.16
Calculate -0.06 + 149192590780.
149192590779.94
Calculate 38871646723961 - 4.
38871646723957
432+-6870.12094
-6438.12094
Sum 10228733 and 4015709.
14244442
What is 24710 - 0.17383369?
24709.82616631
-1371318293845 + 0.4
-1371318293844.6
-12249102 - -0.60123
-12249101.39877
Work out -32.615436 - -269535.
269502.384564
Work out -13155207797.28642 - 0.4.
-13155207797.68642
Calculate 0.3 + -0.129709296389.
0.170290703611
Work out 72570.979 + -163.
72407.979
Put together 0.00139 and -2245480.58.
-2245480.57861
Add -160200 and -1483125.
-1643325
846798 + -0.494681
846797.505319
-298235 - -133881
-164354
Calculate -2 - 3436049980.9.
-3436049982.9
What is 175843 less than 7717777.08?
7541934.08
What is 4.03 + -182796055429?
-182796055424.97
Subtract 20675.472 from 4008296.8.
3987621.328
What is 966 take away 75554.14296?
-74588.14296
What is 4.388060577 - 1.74?
2.648060577
-6774.13269 - -2626
-4148.13269
Work out -0.42 + 73630889.
73630888.58
What is 0.18946031122 less than 0.1432?
-0.04626031122
What is 1.349 less than -16569100.11?
-16569101.459
9.05452978+908
917.05452978
Subtract 0.00634977 from 100466.
100465.99365023
Sum 683 and -220549613.
-220548930
What is -37.66837 take away -351.58?
313.91163
What is 110038681718 less than 0.038?
-110038681717.962
What is the difference between 82587 and 9713.3139?
72873.6861
Work out -7016 - 5.6477726.
-7021.6477726
Calculate -32.7935 + -201401780.
-201401812.7935
Calculate -30654422267 - -0.12.
-30654422266.88
Work out 140971 + -665079.
-524108
What is -16 - 433728.9776222?
-433744.9776222
What is 9183647 minus -0.4217994?
9183647.4217994
Subtract 1166119166481 from -0.1.
-1166119166481.1
Add 51092 and -4.036169.
51087.963831
Calculate 0.1 - 2339256298.845.
-2339256298.745
Add together -0.68466 and -36280.
-36280.68466
360+-1653.56260882
-1293.56260882
-3 - 197555286360
-197555286363
Subtract -0.5 from -11640146.8607407.
-11640146.3607407
What is -1024505660141 + -0.13?
-1024505660141.13
-1.9247+2492180992
2492180990.0753
Work out -244802256304579 - -4.
-244802256304575
430966789 + -4279
430962510
Sum 661 and -6985.04434.
-6324.04434
What is 938.76 less than 1.1448082?
-937.6151918
What is 2.56 plus 29715.277943?
29717.837943
Total of -270279065268 and -0.4.
-270279065268.4
What is 1218 less than -126687971?
-126689189
What is 5810654563449 less than 0.5?
-5810654563448.5
Work out -15 + 0.10378301796.
-14.89621698204
Calculate 0.5961230715 + 0.078.
0.6741230715
Calculate -2209.9871 - 46429.
-48638.9871
What is -381868 plus 16591721?
16209853
Subtract 19 from 325295451141.
325295451122
What is -3752783380.2 + -4.67?
-3752783384.87
What is -0.2 - 3752333537925?
-3752333537925.2
Work out -166491651 + 3.028.
-166491647.972
Subtract 6151206.63 from 3.
-6151203.63
What is 133302.431 + 107638?
240940.431
-44649.76 + -35491
-80140.76
What is the difference between -2.2 and 25068986638705?
25068986638707.2
Sum -60044 and -9642752.
-9702796
What is -129927.42984 - -0.3?
-129927.12984
Sum 37.1 and 5395645012.
5395645049.1
What is the distance between 179 and 2548126067495?
2548126067316
Sum -26507877 and -0.0566.
-26507877.0566
What is the difference between -382 and 10819943839?
10819944221
Subtract 2351063414121 from 74.
-2351063414047
What is the difference between 4 and -93011287.277?
93011291.277
Calculate 49.35147 - 1.6251.
47.72637
What is -8.154001362 less than -
|
{
"pile_set_name": "DM Mathematics"
}
|
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