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- 9 - 35*y)*(0*y + 3*y - y).
-87*y**2 - 2*y
Expand (-272*h**3 - 2396 + 2396)*(167 - 7*h - 167).
1904*h**4
Expand (-5*c + 2*c**2 + 5*c)*(55*c**2 - 7234 + 59*c**2 + 7231).
228*c**4 - 6*c**2
Expand (-3 + 9 + 0)*(-701*s + 112*s - 779*s).
-8208*s
Expand -f**5 + 3*f**5 - 4*f**5 + (0 + 0 + 2*f)*(2*f**4 - 3 + 3) + (1 - 5 + 2)*(845*f**4 - 1098*f**4 + 710*f**4)*(7*f + 0*f - 3*f).
-3654*f**5
Expand (-k + 0*k - k)*(-5983*k**4 + 2034*k**4 + 1612*k**4).
4674*k**5
Expand -3*j**5 - 2*j**5 + 3*j**5 + (-4920*j - 6184*j + 12241*j)*(2*j**4 + j**4 - j**4).
2272*j**5
Expand (77*g + 11563 - 11563)*(3*g - 2*g + g)*(-2*g + 2*g + 3*g).
462*g**3
Expand -w - 108 + 187 + 282 + (w - w + 3*w)*(1 + 3 - 2).
5*w + 361
Expand (2 - 1 + 0)*(x**2 - 26 + 3*x**2 + 13) - 5*x**2 + 6*x**2 + 0*x**2 + (-x + 5*x - 6*x)*(0*x - x + 0*x) + 2*x**2 - 5*x**2 - x**2.
3*x**2 - 13
Expand (0*c - 2*c + c + (4*c + 3*c - 6*c)*(5 + 0 - 3) - 143*c + 7312 - 7312)*(1 - 1 + 2).
-284*c
Expand (0 + 0 - 7*t)*(-74*t**4 + 209*t - 209*t).
518*t**5
Expand (6 + 1 - 4)*(-189*g - 31*g + 29*g) + (2*g - 5*g + g)*(-2 + 5 + 1) + g + 3*g - 2*g.
-579*g
Expand (-5*a**3 - 33*a**3 - 13*a**3)*(-4*a + 2*a + a) + 3*a**4 - 4*a**4 + 2*a**4 + 2*a**2 - a**4 - 2*a**3 + 2*a**3 + (0*a - 4*a + 2*a)*(-15*a**3 + 61*a - 61*a).
81*a**4 + 2*a**2
Expand (-1673*j - 15 + 15 - 11926*j - 16487*j)*(-2 + 3 + 0)*(-4 + 0 + 2).
60172*j
Expand (3*c - 2*c + c)*(c - 2*c - 5*c)*((-29 - 9 - 1)*(c + 2*c + 4*c) + 2*c - 2*c + 2*c).
3252*c**3
Expand -2*n**2 + 0*n**2 + 5*n**2 + (0 + 1 - 2*n + 2)*(-1 - 5*n + 0 + 6*n) + 0*n**2 + 12*n**2 + n**2.
14*n**2 + 5*n - 3
Expand (2*f**4 - 4*f**4 + 4*f**2 + 0*f**4)*(-179*f - 307*f - 16*f).
1004*f**5 - 2008*f**3
Expand (6 - 453*j**2 - 3 + 493*j**2)*(1 + 0 - 2).
-40*j**2 - 3
Expand ((3*l + 0*l - 4*l)*(-2 + 0 + 3) + (-1 - 3 + 11)*(-2*l + 0*l + 0*l) + 0*l + 3*l - 2*l)*(3503 + 1290*l**2 + 457*l**2 - 3503).
-24458*l**3
Expand (-j - j - 6*j)*(-529 - 56*j + 529) + (-2*j + j - 2*j)*(-4*j + 0*j + 3*j).
451*j**2
Expand (0 - 3 + 0)*(2*a**2 + 0*a**2 + a**2) + ((-3*a - 4*a + 6*a)*(-1 + 1 - 2) - 5 + 5 + 4*a)*(-22*a - 21*a + 8*a).
-219*a**2
Expand (0*s + 3*s - 20*s)*(-s + 2*s + 0*s + (0 + 2 + 0)*(0 + 2*s + 0) + 0*s - 3*s + s + 393*s + 22 - 207*s - 204*s).
255*s**2 - 374*s
Expand -9449 + 9450 + 19*d**2 + 39*d**2 + (10*d - 4 + 4)*(0*d + 2*d - d) + 0*d**2 - d**2 + 3*d**2.
70*d**2 + 1
Expand -3*r**5 + 11*r**3 + 8*r**5 - 1 - 10*r**3 + 7*r**4 - 7*r**4 - 13*r**5 + (r + r - r)*(-6*r**4 + 0*r**4 + 4*r**4).
-10*r**5 + r**3 - 1
Expand (-1174*l - 800*l + 2496*l)*(0 + 0 - 3*l**2) - 2*l**3 - 2*l**3 + l**3.
-1569*l**3
Expand ((0*o + 0*o + o**3)*(1 + 1 - 1) + (2*o + 2 - 2)*(-o**2 + 3*o**2 + 2*o**2))*(-1 - 1 - 8)*(-3*o + 3*o - 13*o).
1170*o**4
Expand (q - 2*q - 2*q)*(6397 - 1968 - 3646 + 4782 + 4307 + 8875).
-56241*q
Expand (244 - 481*d - 83 - 79 - 82)*(-4*d**2 - 17*d**2 + 6*d**2).
7215*d**3
Expand -4*f**4 - 2*f**4 + 5*f**4 + (1402*f - 82*f**2 - 1402*f)*(-3*f**2 - 11*f + 11*f).
245*f**4
Expand (3*c + 0*c - 5*c + (-c + 2 - 2)*(2 - 9 - 3))*(-12*c**3 - 88 - 79 + c**2 + 159).
-96*c**4 + 8*c**3 - 64*c
Expand -7*f + f + 23*f - 14*f**3 + (-f**2 + 0*f + 0*f)*(-2*f + 1 - 1).
-12*f**3 + 17*f
Expand (-3*y + 0*y + 4*y)*(-6311*y - 10740*y + 2212*y + 2575*y).
-12264*y**2
Expand (-32*p + 69*p - 36*p - 4)*(-1 + 0 + 3)*(3 - 4 + 0).
-2*p + 8
Expand (561*l + 587*l - 1038*l)*(-2 - 4*l + 2).
-440*l**2
Expand (-4*t**2 + 9 - 17 + 9)*(4566 + 122*t - 4566).
-488*t**3 + 122*t
Expand (-6 + 6 + 2)*(2*a + 4*a - 2*a) - 2 - 3*a + 3*a + 3*a.
11*a - 2
Expand -17*r + 24*r - 72*r + 2*r - 2*r - 2*r + r + 0 + 0 + (-1 - 4 + 4)*(-2*r - 3*r + 4*r) - 2*r + 2*r - r + (-1 + 3 + 0)*(3*r -
|
{
"pile_set_name": "DM Mathematics"
}
|
46. Let x = 1318 - 1307. Determine u(x).
-42
Let c(i) = -i**3 - 8*i**2 - 5*i - 2. Suppose -3 = 2*a - 19. Suppose 0 = -a*u + 29 - 85. Give c(u).
-16
Let u(v) = -v**3 - 4*v**2 + 2*v + 3. Let a(m) = 11*m**2 - 6*m - 9*m - 9*m - 24 + 16*m - m**3. Let z be a(10). Determine u(z).
-5
Let j(y) = -2*y**2 + 6*y - 1. Let t(x) = 28*x**2 - 12*x - 1. Let l(d) = -3*j(d) - t(d). Determine l(1).
-24
Let l(a) = -5*a**2 + 12*a - 1. Let z(f) = f**2 - f. Let g(n) = l(n) + 6*z(n). Suppose 2*h = 3*m + 5, -35*h - 5 = -34*h. Calculate g(m).
-6
Let a(z) = 3*z - 6. Suppose 5*d - 165 = 4*w - w, -d + 21 = -3*w. Let f = 39 - d. Let o be f/(-15)*2 - 32/(-5). Calculate a(o).
12
Let w(p) = -p**3 - 26*p**2 + 25*p - 47. Let v(f) = 20*f + 1373. Let h be v(-70). Calculate w(h).
7
Let f(a) = -9*a**3 - 13*a**2 - 20*a - 74. Let q(z) = -8*z**3 - 13*z**2 - 19*z - 66. Let p(b) = -7*f(b) + 8*q(b). Give p(-5).
-150
Let s(b) = 18*b - 235. Let d be s(13). Let q(p) be the first derivative of -4*p**4 + p**2/2 + 18. What is q(d)?
15
Let x(q) = 406*q - 792*q + 394*q - 10. Determine x(0).
-10
Let n(u) be the third derivative of -u**6/120 + u**5/10 + 3*u**4/8 + u**3 + 39*u**2. Give n(7).
20
Let v = -29 + 31. Suppose -f = 3*q - 51, -v*f - 33 + 117 = 5*q. Let n(d) = q*d**2 + 0*d + d - 25*d**2 - 1. What is n(1)?
-7
Let v(c) be the first derivative of -c**3/3 - 7*c**2/2 + 22*c + 394. Give v(-9).
4
Let q = -49079/60 + 818. Let p(g) be the third derivative of 0*g - 1/2*g**3 + 5/24*g**4 - q*g**5 - 9*g**2 + 0. Give p(6).
-9
Suppose -9*k - 40 = 338. Let p = 44 + k. Let u(w) = -39*w**2 + 79*w**p - 26*w**2. Calculate u(1).
14
Let l = -92 + 85. Let w(b) be the third derivative of -b**5/60 - b**4/6 - 2*b**3/3 + 244*b**2. Give w(l).
-25
Let u(r) = r**3 - 5*r**2 + 3*r + 1. Suppose 0 = -123*j + 150*j - 216. Suppose -16*g + j*g + 16 = 0. Determine u(g).
-5
Let u(z) = -z**3 + 9*z**2 + 11*z - 12. Suppose -h - 3*p + 5 = 0, -5*h - p = -6*p - 65. Let t be ((-6)/15)/(h/(-275)). Determine u(t).
-2
Let l(f) = -4*f - 35. Suppose 24*s + 30 = 22*s + 2*i, -28 = 4*s + 4*i. Give l(s).
9
Let l(k) = 336 - 175 - 6*k - 163 + k**2 - 2*k**2. Let b be ((-38)/6 + 5)/(6/27). Determine l(b).
-2
Let r = -406 - -416. Let t(h) = r*h - 48 - h**2 + 49 - 14*h. What is t(-3)?
4
Suppose 13*n = 29 - 3. Let s(h) = 1 - 5*h**2 - h**3 - 7*h**3 + n*h + 10*h**3. Give s(3).
16
Suppose -18*f = -14*f - 5*o + 47, 2*f - o + 13 = 0. Let p(d) = -3*d**2 - 3*d - 4. Give p(f).
-22
Let c(l) = -1 - l - 9971*l**2 + 2 + 9968*l**2. Let f be 11 - 15 - (-10)/1. Let w be (f/12)/(3/6). Calculate c(w).
-3
Let a(n) = -59*n - 294. Let l be a(-5). Let b(q) = 0 + 6*q**2 + 0*q**2 - 5*q**2 + l. Give b(4).
17
Let m(z) be the third derivative of 11*z**4/24 - 3*z**3 + 715*z**2. What is m(3)?
15
Let b(q) = q**3 - 6*q**2 + 9*q - 23. Let r(z) = 4*z - 51. Let s be r(14). Let d be b(s). Let f(l) = -2*l - 4. Calculate f(d).
2
Let r = -120 + 126. Let t(h) = 5*h + 7. Calculate t(r).
37
Let j(h) = -35*h - 72. Let s be ((-126)/441)/(3/3)*7. Determine j(s).
-2
Let i = 23 + 232. Let b = -253 + i. Let w(g) = g**2 - 4*g. Give w(b).
-4
Let u(x) = -14*x**2 - 126*x. Suppose 34*j = -235 - 4 - 67. Calculate u(j).
0
Let w(o) = -o**3 + 5*o**2 + 4*o. Let i(n) = -22*n - 15. Let d be i(-4). Let g = -75 + d. Let s be (((-120)/25)/(-4))/(g/(-10)). Give w(s).
-12
Suppose 0 = 5*r + 4*w - 36, -2*r - 2*w + 70 - 52 = 0. Let u(z) = z**2 - z + 103. Determine u(r).
103
Let d(k) be the second derivative of -k**4/12 + 13*k**3/3 - 33*k**2/2 - 2926*k. Give d(24).
15
Let b be (1/((-34)/85))/((-4)/(-8)). Let z(q) = -20*q - 109. Calculate z(b).
-9
Let b(d) = d**2 - 14. Let s(w) = -6*w**2 - 37*w + 88. Let u be s(2). Determine b(u).
86
Let m(x) = 38 + 4*x + 32 - 116 + 39 - 1. What is m(-2)?
-16
Suppose -19 - 5 = -3*t. Suppose 113*h = -110*h + 218*h. Suppose h = 7*j - t*j. Let g(a) = -a**2 - 11. Calculate g(j).
-11
Suppose 1704 = 392*c - 108*c. Let s(r) = -3*r + r + 4*r. Give s(c).
12
Suppose 2*d - 2*r = d + 8, 0 = -2*d - 3*r + 23. Let p(o) = -7*o + 74. Let l be p(d).
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4)?
1/4
(-4 - (-5)/(-10))/((-60)/3640*-13)
-21
What is the value of ((-3)/(-63))/((-5)/60) + (0 - 0)?
-4/7
Calculate (1/3 + (-1)/(-3))/((-11466)/12285).
-5/7
Evaluate 604/453*((-31)/(-2) - -4).
26
What is the value of (-10 - 1815/(-132))/((-15)/144)?
-36
What is 1355/275 + -6 - 3/15*-4?
-3/11
Calculate -9*5/5 - (36 - 33).
-12
What is the value of 266135/(-37774) - (-14)/(-2 - -4)?
-1/22
What is ((0 + 3)/3)/(21 + -31 + 11)?
1
Evaluate (1332/2960)/((-36)/(-5)).
1/16
Evaluate (-40)/(320/6)*(-20)/105.
1/7
What is the value of (2/(-6 + -2))/((-23)/(2208/(-60)))?
-2/5
What is (17 + (16 - 32))*(-1)/14?
-1/14
(-3211)/(-988) + (-483)/156
2/13
Evaluate ((2/4)/(26/(-468)))/(6/(-16)).
24
Evaluate 0 - 33 - -6*(-20)/(-15).
-25
Evaluate 586/22 + 681/(-33) + 21.
27
Evaluate (4 - 90/25 - 1) + (-56)/40.
-2
What is the value of (1781/195 - 9)*(1 - 0)?
2/15
((-13)/26)/((-6)/4*(-13)/(-663))
17
What is (-5)/(-3)*(-2088)/(-1160)?
3
What is the value of ((-140)/12 - -13)*(-1 - -2)/(-4)?
-1/3
10 + (-26)/((-2496)/(-880))
5/6
What is 22/(-198) + 2786/126?
22
Calculate (-3857)/15960 - 2/(-48).
-1/5
What is (-4)/2*(-127)/(-889)?
-2/7
What is (-12)/(-10)*-1*(-4950)/(-220)?
-27
What is (((-488)/216)/(-61))/((-2)/6)?
-1/9
Evaluate 18/15*((-78)/36 - 1 - -3).
-1/5
What is (-12 - 225/(-15)) + -3?
0
What is the value of (-6)/16 - 7/168*-17?
1/3
Evaluate 1/(13 - 400/32).
2
What is (1/27)/(149/447)?
1/9
Calculate (5/(10/42))/3.
7
Calculate (-4346)/(-123) - 6 - ((-28)/(-12) + -3).
30
What is the value of (-208980)/(-9477) + 6/(-117)?
22
1630/2608*(-816)/(-15)
34
Evaluate ((-5)/(-25)*-8)/((-56)/(-20) + 0).
-4/7
What is the value of (3384/(-3525))/((-6)/10)?
8/5
What is (-173)/(-279) - (-1272)/(-19716)?
5/9
What is the value of (6/5)/(18/(-90)) + 17/17?
-5
(-105)/1085*(-8)/(-14)*14/12
-2/31
What is the value of 2 + (-14)/35*-10 + -5?
1
What is (-38)/(-2) - ((-432)/27 + 24)?
11
-6 + -1 - (-1386)/165
7/5
What is (8/(-10))/((168/(-48))/(-7))?
-8/5
What is the value of (-1612)/(-124) - ((-29)/(-5) - 1/(-5))?
7
What is the value of 618/721 - (-1)/7?
1
What is 524/(-22) - -2 - (-5110)/(-28105)?
-22
What is the value of 2/((-2550)/(-195)) + 8/40?
6/17
What is 133/(7049/530)*(-1)/4?
-5/2
Evaluate 252/224*(-22)/(-99).
1/4
What is the value of (-2*(-1)/7)/((-3048)/(-24892))?
7/3
Calculate (1 - 7)*1 + (-159)/(-27).
-1/9
Calculate 0 + 6 + (-5074)/826.
-1/7
Calculate (11/165)/(1 - 348/342) + 2.
-9/5
(1 - 3)/(((-882)/343)/(-9))
-7
What is the value of (46 - 45)*4/(-44)*-2?
2/11
Evaluate (396/(-352))/((-3)/(-16)).
-6
What is ((-55)/(-220))/(1/26) + -2?
9/2
What is 10*2*(-70)/6930*(-9)/(-2)?
-10/11
Evaluate ((-332)/(-108) - 3)/((-223)/(-6021)).
2
(-7 - 732/(-108)) + (22/18 - 4)
-3
((-1)/2)/(12/(240/350) - 10)
-1/15
Calculate -7*(-1)/(-21)*9.
-3
What is 0 + 6*15/(-216)?
-5/12
What is ((-2)/(-20))/(72/(-720))*24?
-24
(24/20)/((-126)/(-10) - 12)
2
Calculate -8 - 912/66 - (-86)/(-473).
-22
((-13)/(52/5))/(2/(-16))
10
(-108)/408*(-5 - 8*(-22)/36)
1/34
(-24 - 928/(-40))*(-10)/26
4/13
Evaluate -2 + -2 + 33*14/105.
2/5
What is ((-1)/(-2))/((-20)/24)*-3?
9/5
What is the value of 7 + -2 + 5 - 13?
-3
What is the value of -7 + 1 + -3*19/(-9)?
1/3
Evaluate 11*-230*(-8)/880.
23
Calculate ((-12)/(-48))/((-2 - (-60)/16) + 3).
1/19
Calculate 19 - (2977/78 - 19).
-1/6
What is (-1816)/(-681)*(-5)/50?
-4/15
What is 10 - (-2 + (-32)/56*-14)?
4
Calculate (-200)/(-40) - (-7)/(245/(-182)).
-1/5
Calculate 4 + -1 - (7 + 324/(-90)).
-2/5
What is the value of (-59)/(4661/(-158))*9/(-2)?
-9
What is (-87)/290 + (-819)/70?
-12
Evaluate 788/(-120) + (-6)/18 + 7.
1/10
Calculate -2 - -2 - 10/(-30) - (-35)/(-60).
-1/4
Evaluate 8*(-132)/(-176)*2/(-44).
-3/11
Calculate 176/(-154)*21/(-6) - (-22 - 3).
29
Evaluate (-7)/1 - (11 + (-1 - 5) - 10).
-2
Evaluate ((-351)/78 - (-1 - 3))*6.
-3
Evaluate (95/(-228))/((-25)/30 - (-6)/4).
-5/8
Calculate (2 - 0)/(-4) - 31675/(-2534).
12
What is the value of (54/99)/(24/(-330))*(-2)/25?
3/5
Evaluate (-3 + -1)*(-108)/(-216).
-2
((-5)/2)/(-5) - 3/(-12)*-3
-1/4
What is the value of ((10/(-2))/(-30))/((-2)/(-204))?
17
Evaluate (-6)/(-9) - 3741/6192.
1/16
Evaluate (-7)/(-1) + 1701/(-252).
1/4
What is the value of 15*28/630*(-27)/(-72)?
1/4
What is (-2)/5 - (-4 - -4) - 6/10?
-1
What is the value of (-655 - -656)/(1/22)?
22
What is 119/(-35) + 4 - (-6 - 58/(-10))?
4/5
Calculate ((-7 + (-120)/(-18))*4)/(20/(-285)).
19
Calculate (-2)/(-10)*(-100)/280*-34 - 2.
3/7
Calculate (1040/(-13))/8 + 21.
11
((-186)/341*(-4)/16)/(-2 - -1)
-3/22
Evaluate (4/(-6))/(244/(-183))*4/(-6).
-1/3
Evaluate (2 - 1)*(1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest to 1? (a) 0.3 (b) 2/7 (c) q
c
Let k = 0.017 + 0.083. Which is the closest to k? (a) 3/2 (b) 2 (c) -0.2
c
Let n = -1 + 0.5. Let f be (6/(-4))/(102/(-8)). Let x be (-2)/14 + 32/56. Which is the nearest to 0.1? (a) x (b) f (c) n
b
Let t = -0.1 - -0.1. Let d be (6/(-15))/((-12)/(-15)). Let g = -10 + 10.3. Which is the closest to t? (a) g (b) d (c) 1
a
Let o = -0.31 + 0.31. Which is the closest to -1? (a) 4 (b) 2 (c) o
c
Let i = -0.4 - -4.4. Let q = -66 - -65. Let s be 4/(-6) + (-2)/(-6). What is the nearest to 1 in s, i, q?
s
Suppose -3 = -2*s + 5. Let x be 11/((70/s)/5). Let p = x + -95/28. Which is the nearest to p? (a) -1/8 (b) 3/5 (c) -0.5
a
Let x = 2.78 + -1.78. Suppose 0 = y - 3 - 3. Let r be (y/4)/((-6)/5). What is the nearest to -0.1 in 4, r, x?
x
Let q = -0.8 - 3.2. What is the closest to q in 0.2, 2/13, 0.3?
2/13
Let c = 0 - 0.1. What is the closest to c in -2, 4, 1?
1
Suppose 3*j + 0*r + 2*r = -46, 2*r = 2*j + 24. Let s(f) = -f - 4. Let k be s(-6). Let t be k/(-10) - j/(-5). Which is the nearest to 0? (a) t (b) 5 (c) -1
c
Let i = 0.1 - 0.1. Let h be 4/(24/9)*-1. What is the closest to i in -1/7, h, -0.3?
-1/7
Let u be 3*((-5)/(-2) + -2). Suppose -t - 5 = -4*f, -6*t - 3 = -t + 2*f. Which is the closest to t? (a) 5 (b) 2 (c) u
c
Let z = -42 - -43. What is the nearest to 3 in 3, z, -3?
3
Let o be (0 + -4 + 5)*3/(-7). Which is the closest to 0.2? (a) -2/19 (b) -4 (c) o
a
Let r = 1.3 - 8.4. Let q = 7 + r. Let z = -82/3 + 244/9. Which is the closest to q? (a) 3 (b) z (c) -2/5
b
Let i(o) = -o**2 + 5*o - 3. Let g be i(3). Let p = -581/75 - -2/25. Let z = p + 89/12. Which is the closest to 1/4? (a) z (b) g (c) 1/3
c
Suppose -11 = c + 2*v - 2, 5*c - 25 = 4*v. What is the nearest to c in 1/6, -4, 9?
1/6
Let y = -2 - -1. Let n = 0.055 + -1.455. Let x = y - n. Which is the closest to -1/3? (a) 1 (b) x (c) -4
b
Let n = -1.994 - 0.006. Let b be (-1)/3*3/4. What is the nearest to 0 in b, n, -5?
b
Let m be ((-4)/16)/(3/(-12)). What is the nearest to m in 5, 1, -2?
1
Let h = 1754/7 + -251. What is the closest to 1 in h, 0.4, 1/6?
0.4
Suppose 0*c - 8 = 2*c. What is the closest to 0.1 in 3/2, c, 0.5?
0.5
Let t = -160 - -48. Let i = 782/7 + t. Let g = -164 + 1150/7. What is the closest to g in i, 0.3, 3?
0.3
Let r be (-3 - 0) + 57/45. Let j = -7/5 - r. Which is the closest to 1? (a) j (b) -0.4 (c) 1/2
c
Let o = -2.2 - -2. Let n = 15.8 + -16. What is the closest to n in -4, -2/9, o?
o
Let z be (2 + -1)*0/(-3). Let b be (-33)/378 + (-4)/18. Let s = -1/42 + b. What is the nearest to 1 in s, z, 2/7?
2/7
Let h = 3.7 + -4. Which is the nearest to 1/2? (a) -5 (b) h (c) -4
b
Let c = 1/2 - 3/14. Let y = -0.09 - 0.01. What is the closest to c in y, -0.2, 2/7?
2/7
Let z(q) = -1. Let d(m) = 5*m - 5. Let l(t) = d(t) - 6*z(t). Let i be l(1). Let p be 1*((-10)/i - -2). What is the closest to -1 in p, -1/4, 2/5?
-1/4
Let y = -0.36 + 2.36. Which is the nearest to -0.1? (a) y (b) -4 (c) -1
c
Suppose -2*m + i + 0*i = -5, -5*m + 10 = -2*i. Which is the nearest to 2? (a) m (b) 0.4 (c) -0.3
b
Let w = 1 + -0.5. Let n be (4*(-1)/(-32))/(-1). Which is the closest to -1? (a) -0.1 (b) w (c) n
c
Let l = -0.2 + -0.8. What is the closest to l in 3, -0.5, 0.1?
-0.5
Suppose -r + 3 = -2*r. Which is the nearest to 1? (a) 0.5 (b) r (c) -1/10
a
Let g = 0.8 + -0.88. Let v = g - 0.32. Suppose 5*x + 4 + 11 = -5*u, u - x - 1 = 0. Which is the nearest to u? (a) -5/6 (b) v (c) 5
a
Let u be 0 + (-2)/(-4)*6. Suppose 2*i = u*i. Which is the closest to i? (a) 0.4 (b) 0.3 (c) -3/7
b
Suppose -2*o = -3*m - 6, -2*o + 4*o + 10 = -m. Which is the closest to 0? (a) o (b) 5/6 (c) 0.4
c
Let t = 8.5 - 8. Let w = t - 0.2. Let u = 2 - 1. Which is the closest to u? (a) 0.2 (b) -1 (c) w
c
Suppose 2*m - 42 + 2 = 0. Suppose 3*x = -w - 16, -3*w - m = -0*w + 2*x. What is the closest to 1 in 0.3, 0.4, w?
0.4
Let i = -123/46 + 4/23. Let y = -2 - -2.1. What is the nearest to y in 3, 1, i?
1
Suppose -4*z - 2 = 6. Let i = 2.5 - 3. What is the nearest to 0 in -
|
{
"pile_set_name": "DM Mathematics"
}
|
66
Calculate prob of sequence iiv when three letters picked without replacement from ivuuiv.
1/30
Calculate prob of sequence ss when two letters picked without replacement from {m: 1, f: 1, c: 4, s: 3, t: 6}.
1/35
Four letters picked without replacement from iiiiiiiipiiiiiiipiii. Give prob of sequence ippi.
1/190
What is prob of sequence qq when two letters picked without replacement from ipipiqiqiqiqqiqq?
7/40
Four letters picked without replacement from bxldmdxl. What is prob of sequence ldmx?
1/210
Three letters picked without replacement from {i: 8, o: 1, l: 8}. What is prob of sequence oll?
7/510
Calculate prob of sequence eeqr when four letters picked without replacement from rrrqqqqeqeerreqrqer.
245/23256
Two letters picked without replacement from aaattaoyaaaatyaaaq. What is prob of sequence yq?
1/153
Calculate prob of sequence yh when two letters picked without replacement from ahfyhfffaffaaaaaafau.
1/190
What is prob of sequence yy when two letters picked without replacement from yoyyoyyyyyoyyyyyyy?
35/51
Two letters picked without replacement from vvvvcvvv. Give prob of sequence vc.
1/8
Three letters picked without replacement from {s: 1, h: 8, c: 4, i: 1, e: 3}. What is prob of sequence ehe?
1/85
Calculate prob of sequence zv when two letters picked without replacement from {z: 1, l: 2, v: 1}.
1/12
Calculate prob of sequence tbv when three letters picked without replacement from tntnnnvtvnvvbvnrtnnv.
1/285
Two letters picked without replacement from ttyttttytttt. Give prob of sequence yy.
1/66
Three letters picked without replacement from {n: 4, v: 3, g: 4, f: 3}. What is prob of sequence vvf?
3/364
What is prob of sequence hhh when three letters picked without replacement from yhhyhvh?
4/35
Three letters picked without replacement from {x: 3, s: 4, m: 3, t: 3, e: 2, g: 1}. Give prob of sequence gxs.
1/280
Two letters picked without replacement from ppjpppppjp. Give prob of sequence jp.
8/45
Two letters picked without replacement from {s: 3, m: 4, q: 2, d: 1}. Give prob of sequence sq.
1/15
Three letters picked without replacement from {i: 1, n: 5, t: 3}. Give prob of sequence ini.
0
Calculate prob of sequence bwm when three letters picked without replacement from mwmbbmwmbbwwmmw.
4/91
Calculate prob of sequence uiru when four letters picked without replacement from uibubrrrkxxrii.
1/1001
Three letters picked without replacement from vsvsss. What is prob of sequence sss?
1/5
Calculate prob of sequence aao when three letters picked without replacement from {a: 4, q: 1, z: 6, o: 2, m: 3}.
1/140
Two letters picked without replacement from zaolzzzzaaocoozl. Give prob of sequence az.
3/40
Calculate prob of sequence rr when two letters picked without replacement from rissqfirhisq.
1/66
What is prob of sequence qnu when three letters picked without replacement from uonnoymqyoqonqn?
2/455
Two letters picked without replacement from bbbbfbfbbbbb. What is prob of sequence bb?
15/22
Four letters picked without replacement from {r: 2, o: 6, g: 1, w: 1, x: 5}. What is prob of sequence owgx?
1/1092
What is prob of sequence dre when three letters picked without replacement from {d: 2, e: 7, y: 4, r: 2, l: 3}?
7/1224
What is prob of sequence nd when two letters picked without replacement from ddldrlrrndorrrrlrrll?
1/95
What is prob of sequence og when two letters picked without replacement from ogggogiowwggw?
3/26
Four letters picked without replacement from {z: 16, d: 4}. What is prob of sequence dddz?
16/4845
Two letters picked without replacement from yyhh. What is prob of sequence hy?
1/3
Two letters picked without replacement from {q: 3, e: 12, x: 2, n: 3}. What is prob of sequence en?
9/95
Calculate prob of sequence rtr when three letters picked without replacement from peeirct.
0
Two letters picked without replacement from ppjjbffpbjfppfmpp. What is prob of sequence jm?
3/272
Three letters picked without replacement from {o: 2, e: 1, x: 1, b: 4, w: 1}. What is prob of sequence exb?
1/126
Four letters picked without replacement from {d: 1, q: 2, e: 3, l: 9, j: 3}. Give prob of sequence ljqq.
1/1360
Calculate prob of sequence msal when four letters picked without replacement from {s: 2, m: 3, l: 6, a: 1}.
1/330
Two letters picked without replacement from {e: 1, q: 3, k: 2, s: 1}. Give prob of sequence kk.
1/21
Two letters picked without replacement from pphchchphpchcc. What is prob of sequence cc?
10/91
Calculate prob of sequence eeye when four letters picked without replacement from {o: 3, e: 5, y: 2}.
1/42
Two letters picked without replacement from {z: 7, v: 4}. What is prob of sequence vv?
6/55
Three letters picked without replacement from {e: 3, l: 3, q: 6, w: 1, y: 2}. What is prob of sequence lye?
3/455
What is prob of sequence sq when two letters picked without replacement from {o: 2, k: 4, s: 2, h: 1, q: 2, b: 8}?
2/171
Calculate prob of sequence tthx when four letters picked without replacement from {t: 3, h: 2, x: 10}.
1/273
Calculate prob of sequence sel when three letters picked without replacement from ssssszeslssessez.
1/112
Three letters picked without replacement from {v: 1, h: 1, r: 1, b: 2}. What is prob of sequence bbh?
1/30
What is prob of sequence hmlu when four letters picked without replacement from umuhbhuluuhu?
1/660
What is prob of sequence dn when two letters picked without replacement from mnhhdhhhh?
1/72
What is prob of sequence cdjy when four letters picked without replacement from {y: 2, d: 4, j: 2, h: 1, c: 1}?
1/315
Two letters picked without replacement from cccccccwwnwnwnwccnc. What is prob of sequence nw?
10/171
Four letters picked without replacement from {f: 6, q: 4, w: 10}. Give prob of sequence wqff.
10/969
What is prob of sequence rrlu when four letters picked without replacement from {l: 3, n: 1, r: 2, u: 4}?
1/210
Calculate prob of sequence fkf when three letters picked without replacement from {k: 1, f: 13, m: 3}.
13/340
What is prob of sequence ttbh when four letters picked without replacement from {z: 5, h: 3, q: 5, t: 2, b: 3}?
1/4080
Three letters picked without replacement from essjsedsddddjsddsdd. What is prob of sequence dsd?
24/323
Four letters picked without replacement from {c: 3, s: 3}. What is prob of sequence sccc?
1/20
What is prob of sequence dyyd when four letters picked without replacement from dwmmymymmbydz?
1/1430
Four letters picked without replacement from sssssssssssssssnsn. What is prob of sequence snss?
14/153
Four letters picked without replacement from bwbbbbbbbbbwbbbbbbbb. Give prob of sequence wbbb.
8/95
Three letters picked without replacement from {w: 11, t: 2, s: 6}. What is prob of sequence ssw?
55/969
Three letters picked without replacement from zsivzzzvzizstsviim. Give prob of sequence vms.
1/544
Three letters picked without replacement from yyycyccwy. What is prob of sequence ywy?
5/126
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is 17 a factor of (-5 - l - 12)*-41?
True
Let d(h) = 27*h - 34. Let g be 15 - (0 - (3 - 7)). Let o be d(g). Suppose 2*x - 268 = -3*p + 3*x, 3*p - 2*x - o = 0. Is p a multiple of 18?
False
Let f be 3 + 20/(-6) + 5522/6. Suppose -3*c - f = -11*c. Suppose -4*z = 5*u - 283, 3*u - 5*u - z = -c. Is u a multiple of 13?
False
Let i = -32 - -41. Suppose 5*p - 13 = 2. Suppose -i = -p*v + 3, 0 = k - 2*v - 82. Is k a multiple of 20?
False
Suppose 0 = 378*n - 374*n - 45992. Is n a multiple of 86?
False
Suppose d - 16370 = 4856 + 3896. Is d a multiple of 23?
False
Suppose -29598 = -14*k + 12*k + 3*b, -3*b = 3*k - 44427. Is k a multiple of 7?
True
Suppose 499*m + 5478095 = 1012*m - 14643817. Does 106 divide m?
False
Suppose 3 = -t + 3*k + 2, 5*t - 3*k - 7 = 0. Suppose -180 = -6*y + t*y - 4*h, -4*h + 131 = 3*y. Is 5 a factor of y?
False
Let u = -44 - -50. Let p be (-14)/28 + u/4. Is 36 a factor of (1 + p + -4)*-119?
False
Suppose -3*h - 2*j - 15 = 0, -3*h + j = 2*j + 18. Is 2*(3 + h + 475/2) a multiple of 18?
False
Let t(j) = 50*j**3 - j**2 + 5*j - 4. Let q be (4 + -2)/(4/(-50)). Let d = q - -26. Is 25 a factor of t(d)?
True
Suppose 7710 = 3*r - 3*o, 4*r - 8*o = -11*o + 10252. Is 21 a factor of r?
False
Let t = 10608 + 11316. Does 21 divide t?
True
Let v(x) = 6*x**2 + 5*x + 2549. Does 14 divide v(0)?
False
Let g(m) = -8*m**3 - 2*m**2 - 24*m - 97. Does 13 divide g(-6)?
True
Let n = 0 + 11. Suppose -4*t = -8*t - 2*p + 20, 0 = -3*t + 5*p - n. Suppose -4*i = 4*w - 124, 4*i + 64 = -t*w + 187. Is 10 a factor of i?
True
Suppose -30*b + 37*b - 504 = 0. Let q = b - -195. Is q a multiple of 41?
False
Does 8 divide (-6)/10 + 1265345/575?
True
Let o = 4 + -2. Suppose 8*z + 3740 = 13*z + 4*f, o*z - 2*f - 1478 = 0. Does 62 divide z?
True
Let b = 2 - 2. Suppose 4*m = -b*m - 32. Let u(h) = -3*h - 2. Does 11 divide u(m)?
True
Let t(q) = -q**3 + 14*q**2 - q + 17. Let n be t(14). Let o be (10 - 2 - n)*-19. Let b = 178 + o. Is 14 a factor of b?
False
Suppose 335 = 6*n + 41. Let r = 548 - n. Suppose -2*j + 49 = 4*i - r, 2*i - 262 = 2*j. Is i a multiple of 15?
True
Let p(c) = 17*c - 109. Let i = -6 + 16. Is 7 a factor of p(i)?
False
Let x(n) = 55*n**2 - 78*n - 1578. Does 51 divide x(-16)?
False
Let r = -612 - -1019. Suppose 523 = 5*s + m, -2*s + 3*m = 2*s - r. Is s a multiple of 26?
True
Let b(m) = -6*m - 2. Let u be b(-1). Let g be 305/15 + u/(-12). Suppose -g = -d + 38. Is 12 a factor of d?
False
Let b(t) = t**3 - t**2 - 2*t + 140. Let v be b(0). Let m = v - 440. Let r = 455 + m. Does 24 divide r?
False
Let l be (-15174)/(-297) - (1 + 10/(-11)). Suppose -60*x + l*x = -3969. Is x a multiple of 9?
True
Suppose 3*i - 21 = 3*r, 0*i + 5*i = r - 5. Let n = 22 + r. Let k = n - -9. Is 17 a factor of k?
False
Let i be 423/81 + 4/(-18). Suppose 895 = 5*j + i*w, w = -3*j - 0*w + 531. Suppose j = 5*f - f. Is 14 a factor of f?
False
Suppose 3*q + 2*l - 1079 = 0, 0 = -0*q + q - 4*l - 341. Let j = 425 - q. Is 4 a factor of j?
True
Let h = -5917 + 5956. Is h a multiple of 18?
False
Let i(k) = 3*k + 53. Let f be i(-18). Is ((-5 - -4)/3)/f*87 a multiple of 4?
False
Let u(n) = -3*n**2 - 9*n + 6. Let x be u(-6). Let a = 48 + x. Let i(t) = 5*t + 140. Is i(a) a multiple of 20?
True
Is 12/(-9) - (-523188)/27 a multiple of 42?
False
Is 2/15 + 0 - 11359895/(-5475) a multiple of 25?
True
Let o(u) = 3*u**3 + 8*u**2 - 56*u + 673. Does 58 divide o(13)?
True
Suppose 1231 + 480 = 5*k + w, -4*k + 1380 = -2*w. Suppose -2 = 2*q, 14*j = 11*j + q + k. Does 33 divide j?
False
Let t be 228/20 - (-8 + (-222)/(-30)). Let b be (-2 - -2)*1*-1. Suppose 4*p - t = -b. Is 3 a factor of p?
True
Let s(c) = 3*c - 72. Let b be s(21). Let q(i) = i**3 + 11*i**2 - i + 31. Is q(b) a multiple of 11?
False
Let n(t) = 773*t + 5452. Is n(37) a multiple of 14?
False
Let f be 132/88*(-1 + (-50)/(-6)). Suppose -i + 12084 = f*i. Is i a multiple of 55?
False
Let i(w) = 4*w**2 - 73*w + 21. Let u be i(18). Let c(k) = 4*k**3 + 2*k**2 - 17*k + 51. Is 9 a factor of c(u)?
True
Let q be ((-18)/4 + 2)/(1/2). Let a(d) = -d - 5. Let o be a(q). Suppose -5*j + 0*l = -2*l - 596, -5*j - 4*l + 608 = o. Does 30 divide j?
True
Suppose -14*g + 12 = -16. Let f be (-1182)/g*3/(-9). Suppose 2*o + 6 = 2*v - 80, -5*v - 4*o + f = 0. Does 33 divide v?
False
Let n be (49956/12)/(2/12). Suppose -n + 5595 = -21*f. Does 11 divide f?
False
Suppose 1795 = 3*u - 4*z - 3043, 4*u - 3*z - 6460 = 0. Is 10 a factor of u?
False
Is (2 - (-4727)/(-116))/((-1)/64) a multiple of 20?
True
Is 38864/10 + 11 + (-468)/45 a multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
4 + 2*sqrt(13)
Simplify (-2*(sqrt(176) + 1 + sqrt(176)) + sqrt(891) + -6*(-4 + sqrt(891)))**2*5.
-13420*sqrt(11) + 207075
Simplify ((-1*sqrt(117)*5 + -2*sqrt(117) + -3)*3 + 2)**2.
882*sqrt(13) + 51646
Simplify 6*((0 + sqrt(1300))**2 + sqrt(234)/sqrt(2) + 1 + sqrt(637) + 1).
60*sqrt(13) + 7812
Simplify (2 + (1*sqrt(567))**2)*-2*-3.
3414
Simplify 2*((sqrt(2) + (sqrt(6)/sqrt(3) + sqrt(2))*2)*-5 + -5)*2.
-100*sqrt(2) - 20
Simplify -5 + (sqrt(384)/sqrt(432) - (sqrt(32) + 2*sqrt(192)/sqrt(6))).
-34*sqrt(2)/3 - 5
Simplify 2*(-1*(-2*sqrt(288) + 4)*-6)**2.
-13824*sqrt(2) + 84096
Simplify -2*(sqrt(50) + (sqrt(500)*4)/sqrt(10))/(sqrt(490) - (sqrt(490)*-1 + sqrt(490)))*-4.
40*sqrt(5)/7
Simplify sqrt(700) + sqrt(700) + 3 + -5 - ((sqrt(700) + -3)*-2 - sqrt(700)).
-8 + 50*sqrt(7)
Simplify sqrt(9)/(sqrt(3) + sqrt(12))*3 - ((2*sqrt(3) - sqrt(3)) + 0)*6.
-5*sqrt(3)
Simplify (sqrt(68) + 1*sqrt(68)*-6 + sqrt(68) + sqrt(68) + 1 + sqrt(68) + 1 + sqrt(68) + sqrt(68))*-4*1.
-8
Simplify ((sqrt(200) + sqrt(200) + 2*sqrt(200) + sqrt(200))*5)/(sqrt(4) - sqrt(8)/sqrt(2)*4).
-125*sqrt(2)/3
Simplify ((sqrt(143) - (sqrt(143)*1 - sqrt(143) - sqrt(143)))*-2 - ((sqrt(143)*1 + sqrt(143))*4 - sqrt(143)))/(-6*sqrt(11)*1 + sqrt(22)/sqrt(2)*-1).
11*sqrt(13)/7
Simplify 6*((0 + sqrt(475))*-1 + 4) + 4.
-30*sqrt(19) + 28
Simplify ((-3*sqrt(330))/sqrt(11))/(4*sqrt(160)).
-3*sqrt(3)/16
Simplify ((sqrt(420)/(sqrt(12)*6))/sqrt(7))**2 - ((sqrt(250)/sqrt(10))/sqrt(5)*-4)**2.
-2875/36
Simplify (sqrt(187) - (sqrt(187)*-1*-6 + sqrt(187)))/sqrt(11) - (sqrt(1377) + -1 + 5).
-15*sqrt(17) - 4
Simplify (sqrt(567)*-2*5 + 4 + -2*(sqrt(567) - (sqrt(567) - (1*sqrt(567) + sqrt(567) + 0))))**2*-1.
-111148 + 1008*sqrt(7)
Simplify (-5*6*(2*sqrt(88) - sqrt(88)))/(sqrt(32)/(sqrt(16)/sqrt(4)) + 1*sqrt(512)).
-10*sqrt(11)/3
Simplify ((((sqrt(132)*-2 + sqrt(132))*-4)/sqrt(11))/(3*sqrt(144)*2))**2.
1/27
Simplify (sqrt(125) + 1)**2 + 1 + (sqrt(125) - (sqrt(125) + (4 + sqrt(125) + 2 - sqrt(125)) + sqrt(125))).
5*sqrt(5) + 121
Simplify (1*((-2 + sqrt(832) + -4 + sqrt(832) - sqrt(832)) + -1))**2.
-112*sqrt(13) + 881
Simplify sqrt(972)*-1 + 5 + sqrt(3) + -5*(sqrt(3) + sqrt(27)).
-37*sqrt(3) + 5
Simplify ((-1*sqrt(77)*-1)/(sqrt(7) - (-4*sqrt(7)*-2 + sqrt(7))))**2.
11/64
Simplify 5*(sqrt(18)/(sqrt(9) - (sqrt(9) - sqrt(9)*-2)) + sqrt(22)/(sqrt(11)*-1)) + (sqrt(98) + sqrt(98) + 0 + -3 + sqrt(98) + sqrt(98) + 1 + sqrt(98) + -2)**2.
-575*sqrt(2)/2 + 2466
Simplify (5 + sqrt(147)*-2 - (3 + sqrt(147) + 0))**2 + ((sqrt(12) - (sqrt(12) + sqrt(48)))*5)/((sqrt(72) + sqrt(8))/sqrt(2)).
-173*sqrt(3)/2 + 1327
Simplify (((sqrt(70) - -2*sqrt(70))/sqrt(5) - sqrt(14))*1)/(-5*2*1*sqrt(7)).
-sqrt(2)/5
Simplify (4*sqrt(126))/(-1*sqrt(8) - sqrt(8)) + -3 + (sqrt(28)/(sqrt(4)*-2)*6)**2.
-3*sqrt(7) + 60
Simplify (sqrt(136)/sqrt(72) + sqrt(17) - (-5 + (sqrt(68) - sqrt(17))))**2 + 1 + (sqrt(612) - 2*sqrt(612))**2 + sqrt(612) + sqrt(612)*-1 + -4 + sqrt(612).
28*sqrt(17)/3 + 5723/9
Simplify (sqrt(55)/(sqrt(11)*-1) + 5)**2 + ((sqrt(75)/sqrt(3) - sqrt(25))*-3)/sqrt(5).
-10*sqrt(5) + 30
Simplify (3*(sqrt(1323) + 3*sqrt(1323)))/(sqrt(144) + (sqrt(144)*-3*1 - sqrt(144)) - sqrt(144)).
-21*sqrt(3)/4
Simplify (sqrt(2299)*1 + -3)**2*-2 - ((sqrt(2299)*-1 + -4 + sqrt(2299))*4)**2.
-4872 + 132*sqrt(19)
Simplify (sqrt(242)/(-1*(sqrt(11) + -1*sqrt(11)) - sqrt(11)))/(sqrt(11) + 6*(sqrt(11)*1 - sqrt(11) - sqrt(11)) + sqrt(33)/sqrt(3)*6).
-sqrt(2)
Simplify (sqrt(13)*-1*-1 - sqrt(13))*4*-3 - (5 + sqrt(52) + (1 + (sqrt(13) - sqrt(78)/sqrt(6)))**2).
-2*sqrt(13) - 6
Simplify (-2 + sqrt(448) + 4)**2 + 1.
32*sqrt(7) + 453
Simplify ((sqrt(19) - sqrt(114)/sqrt(384)) + (sqrt(19) + -3)*2 + 5 + -5)**2.
-69*sqrt(19)/2 + 12355/64
Simplify 6*sqrt(68)*-4 + sqrt(272)*2*-3.
-72*sqrt(17)
Simplify -3 + (-3*(sqrt(22) + sqrt(22)*2) + sqrt(22))/(sqrt(44)*1).
-4*sqrt(2) - 3
Simplify (sqrt(117)*4*-1)/(sqrt(99)/(sqrt(11)*1) + sqrt(9)).
-2*sqrt(13)
Simplify ((-6*(sqrt(80)*-5 - sqrt(80)))**2 + -3)*5.
518385
Simplify (sqrt(165)/sqrt(147))/(sqrt(275) - -5*sqrt(275)) + -2.
-2 + sqrt(5)/210
Simplify (sqrt(24)/(sqrt(28)/sqrt(7))*-2)/((sqrt(48)/sqrt(2))/sqrt(12) + (sqrt(98)*-1 + sqrt(98) - sqrt(98))).
sqrt(3)/3
Simplify (4*(-3 + ((sqrt(102) - 1*sqrt(102))*-1)/(sqrt(54)*-6 - sqrt(6))))**2.
144
Simplify (2*sqrt(1260)*2)/(4*(sqrt(245) + (sqrt(245)*-2 - sqrt(245)) - sqrt(245)))*-1.
2*sqrt(7)/7
Simplify -4*-2*((-1*1*sqrt(1331) - ((sqrt(1331) + sqrt(1331)*2)*4)**2) + -1).
-1533320 - 88*sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
x = 46*t - 20, 0*x = -45*t + 2*x + 84 for t.
2
Solve 4*h = -3*n - 492 + 481, 5*n = 3*h + 1 for n.
-1
Solve -8350*w - 7 = -8345*w + 2*n, 2 = w - 3*n for w.
-1
Solve -5*g = 25, -6*g + 38 = -2*q - 7*g + 37 for q.
2
Solve -3*p - 5*a + 0*a = 7, p - 3*a = 7 for p.
1
Solve -z + 7 = 4*c + 8 + 9, 27 = -9*c for z.
2
Solve -6*o - 16 = -4*g, 0 = 5*o - 0*o + 10 for g.
1
Solve 56 = -14*n - u, 375*u = n + 379*u + 4 for n.
-4
Solve 5*b - 4*x = -3, -38*x - 33*x = -67*x - 8 for b.
1
Solve 2*y + 14 = -r, -4*y = -91*r + 89*r + 20 for r.
-2
Solve -2*a = -l + 68 - 66, -5*a - 5*l = 50 for a.
-4
Solve 5*c + 85 = -5*t, -1291*t - 5*c - 73 = -1290*t for t.
-3
Solve 0 = -n + 2*p + 7, 3*p + 1883 - 1892 = -5*n for n.
3
Solve -797*r = -3*k - 795*r - 7, -5*k = -3*r + 13 for k.
-5
Solve 4*r + 28 = -4*v, 12 = -39*v - r - 109 for v.
-3
Solve -121*v - 20 = -124*v + 4*r, 0 = 4*v + 5*r - 6 for v.
4
Solve -x - 16 = -4*l, 80*x = 3*l + 76*x - 12 for l.
4
Solve 0 = 2*g - 65 + 73, -3*g = 3*m + 15 for m.
-1
Solve 0 = -3*x + k - 7, -347*x + 345*x + 5*k + 17 = 0 for x.
-4
Solve j - 25 = -14*u, 10*j - 6*j - 3*u = -18 for j.
-3
Solve o = -3*d + 14, 137*o - 134*o - 6*d = -33 for o.
-1
Solve -14 = 2*y - 5*w, 4*y - 69*w = -68*w + 8 for y.
3
Solve -2*r = -3*b + 26, -3*r - 120 = 5*b + 10*r for b.
2
Solve 103*s + 5*k - 15 = 108*s, 0 = 3*s - k + 7 for s.
-2
Solve 836*w - 834*w = -5*j + 3, 4*w + 18 = -2*j for j.
3
Solve -8 = 3*p - 1957*s + 1956*s, p = -3*s - 16 for p.
-4
Solve 5*h - 85 = -t, -2*h + t = 8*t - 34 for h.
17
Solve -3*w = 4*a - 8, 39 = 4*w + 32*a - 21*a for w.
-4
Solve j = -2*h - 7, 672*j + 3*h + 16 = 670*j for j.
-11
Solve -2*l - 1607 + 1678 = w + 4*w, -5*w = 4*l - 67 for w.
15
Solve -31*r + 4*w + 42 = -3*r + 7*r - 89, -2*w + 22 = 0 for r.
5
Solve 4*x = -49 + 53, 3*c - 2*x + 17 = 0 for c.
-5
Solve 3*g + 5*y - 2*y = 0, 5*y = 2*g + 35 for g.
-5
Solve -2*c - 2*c - 12*m = -4*m - 13*m + 6, 0 = -2*c + m for c.
1
Solve 5*z + 460*t - 458*t = 12, -2*z + 8 = 4*t for z.
2
Solve 5*z = -15, c = 5*z - 100 + 102 for c.
-13
Solve 3*l + 9*i - 33 = 0, -3*l + 2*i + 36 = 3*i + 27 for l.
2
Solve 13*v - 16*v = -2*p + 5, 35 = -7*p for v.
-5
Solve 4*n + 16 = -1463*v + 1459*v, 36 = 6*n - 4*v for n.
2
Solve 108 - 88 = 5*c + 3*x, 28 = 3*c + 5*x for c.
1
Solve 7*g - 54893 + 54806 = p, -30 = 2*p - 2*g for p.
-3
Solve -3*t = n - 5, 4*t = 40*n - 41*n + 8 for n.
-4
Solve -8*n - 2*f + 8 = -12*n, -8 = -2*n + 3*f for n.
-5
Solve -12*n - 2*i = -6, 28*i - 8*i = -3*n + 21*i + 6 for n.
1
Solve -575*i = -574*i - 4*f - 18, -4*i = 8*f - 48 for i.
14
Solve -2*o + 15*j = 126, 2*o - 3 - 31 = 6*j - 11*j for o.
-3
Solve 3*p - 30 = -2*x, 0 = 2*p + 9*x + 46 - 66 for p.
10
Solve -2273*a = -f - 2278*a + 1, 3*f = 3*a + 3 for f.
1
Solve 77*a = 78*a + 6*s + 2, 3*s = -2*a - 4 for a.
-2
Solve 2*u = 1812*s - 1809*s + 24, -11*u - 5*s = -89 for u.
9
Solve 4*z = -4*h + 12, z - 42 = -5*h - 43 for h.
-1
Solve -3*s = 2*o - 47, 564*o = 565*o - 5*s + 61 for o.
4
Solve -3*k + 19 = -4*f + 23, -5*f + 5 = k for f.
1
Solve -439*t - 2 = -6*u - 443*t, 2*u + 4*t = -10 for u.
3
Solve 0 = 5*w - 2*d + 13, -72*w - 11 = -57*w + d for w.
-1
Solve 3*l + 0*c = -3*c - 15, -2*c = 25*l - 8*c + 94 for l.
-4
Solve -k - 4*p = 19, 12*p - 3 = -3*k + 15*p for k.
-3
Solve 0 = 2*t + 4*b - 11 - 11, 0 = t + b - 10 for t.
9
Solve 5*t = -3*b - 18, -2*b - 4*t - 4 - 10 = 0 for b.
-1
Solve -9*p = 2*a - 12*p + 13, a = 2*p - 10 for a.
4
Solve -r - 10 = -2*n, -184*n - 21 = -187*n + 3*r for n.
3
Solve -2*u - 3*u = 5*d - 15, -d + u - 5 = 0 for d.
-1
Solve 5*c + j + 163 = 150, 4*j - 11 = c for c.
-3
Solve 6*i = 5*c + 2*i + 40 - 35, 0 = 5*i for c.
-1
Solve -149*b = -151*b + 3*h - 6, 0 = -5*b + 26*h - 52 for b.
0
Solve -
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 2, what is 10011 - -100110101000?
100110111011
In base 3, what is 0 + 211222220220?
211222220220
In base 7, what is -2 + -44032?
-44034
In base 4, what is 13 + -10322211?
-10322132
In base 12, what is -337 + -69?
-3a4
In base 7, what is -316113 + -2?
-316115
In base 7, what is -130 + -161151?
-161311
In base 3, what is 120110000 - 10?
120102220
In base 5, what is -403 - -4434?
4031
In base 10, what is 706 - -87?
793
In base 15, what is 39 + 1c4?
20d
In base 10, what is -8680 + 2?
-8678
In base 9, what is -6483 + 163?
-6320
In base 5, what is 3024 + -1141?
1333
In base 14, what is -1015b3 + -4?
-1015b7
In base 15, what is -25 + -2623d?
-26263
In base 2, what is -110110 + -11010101101110?
-11010110100100
In base 11, what is -208 - 37?
-244
In base 16, what is 382 + 132?
4b4
In base 10, what is 95 + -37755?
-37660
In base 12, what is -36057 - 0?
-36057
In base 16, what is -5a17 - -2d?
-59ea
In base 4, what is 201 + -222123?
-221322
In base 7, what is -335006 + -3?
-335012
In base 9, what is 21 - -611473?
611504
In base 12, what is -180127 - -3?
-180124
In base 12, what is 64 + 1248?
12b0
In base 12, what is 5739 + -6?
5733
In base 16, what is 433cc2 + 4?
433cc6
In base 10, what is 11857 - -268?
12125
In base 6, what is -44425150 + 5?
-44425141
In base 4, what is 13232 + 101?
13333
In base 2, what is 11110101000111 - 11100?
11110100101011
In base 16, what is 8 - -527c1?
527c9
In base 3, what is 1 - 202120101002?
-202120101001
In base 13, what is 2 - aa94?
-aa92
In base 15, what is -c682 + 10?
-c672
In base 8, what is -107243 + -6?
-107251
In base 14, what is 4 + -333d1?
-333cb
In base 16, what is 3 - -4283?
4286
In base 8, what is 224 + 24451?
24675
In base 5, what is 131 - 21334?
-21203
In base 6, what is 10422 + -24?
10354
In base 4, what is 22132 + -1120?
21012
In base 8, what is -51036 - -6?
-51030
In base 9, what is 432 + -5?
426
In base 7, what is 1 + 361150?
361151
In base 4, what is 301100221 - 0?
301100221
In base 2, what is -10 + 111100011100100?
111100011100010
In base 9, what is 5 + -216082?
-216076
In base 2, what is -111110000000 - 10?
-111110000010
In base 2, what is 101 - -11111010100010?
11111010100111
In base 12, what is 3180 + 20?
31a0
In base 5, what is 2233 + -334?
1344
In base 12, what is 7 + -3028?
-3021
In base 4, what is -1101 - 3231232?
-3232333
In base 4, what is 30023233212 + 2?
30023233220
In base 10, what is 0 - 77307?
-77307
In base 15, what is 1b9ad - 3?
1b9aa
In base 6, what is 331 - -54?
425
In base 7, what is 10 + 12536?
12546
In base 16, what is 2ce7 + 3?
2cea
In base 7, what is -14255442 + -3?
-14255445
In base 14, what is 3d1 + -232?
19d
In base 16, what is -6a + -711?
-77b
In base 7, what is 1254123 + -5?
1254115
In base 10, what is -10 + 9919?
9909
In base 15, what is -37 - 163b?
-1673
In base 8, what is 20314 - -16?
20332
In base 2, what is -110000 - 1000100?
-1110100
In base 10, what is 1668237 - 0?
1668237
In base 13, what is 121 - -a?
12b
In base 8, what is -111651 + 7?
-111642
In base 15, what is 4617 - 28?
45de
In base 12, what is -4a4a7 - -3?
-4a4a4
In base 3, what is 212221221121 + -11?
212221221110
In base 9, what is 2 + -2015?
-2013
In base 3, what is 110 + -202012?
-201202
In base 5, what is 10 - 111130?
-111120
In base 11, what is 85 + -357?
-282
In base 9, what is 4 - -53157?
53162
In base 11, what is 3 + -44a90?
-44a88
In base 16, what is -16 + e1e?
e08
In base 14, what is 4 - -16b50?
16b54
In base 11, what is -2630a - 10?
-2631a
In base 15, what is 795974 - -3?
795977
In base 2, what is 110110101000110 - -101?
110110101001011
In base 6, what is 3 + -154153?
-154150
In base 15, what is -5 + 1d9c?
1d97
In base 3, what is -11 + -221220012?
-221220100
In base 13, what is -5294 - 9?
-52a0
In base 10, what is 229 - 2181?
-1952
In base 4, what is -10 + 31322100?
31322030
In base 7, what is -3261 - -2432?
-526
In base 4, what is -300310 + 22?
-300222
In base 16, what is 2a + 49d?
4c7
In base 9, what is 3712 - 10?
3702
In base 12, what is 11 + 9889?
989a
In base 4, what is -1110103 - 131?
-1110300
In base 9, what is -476142 + -3?
-476145
In base 3, what is -2201 - -200100002?
200020101
In base 9, what is -10670 + -26?
-10706
In base 4, what is -33100023031 - 11?
-33100023102
In base 15, what is 8 - -ea0?
ea8
In base 8, what is -2 - 4116671?
-4116673
In base 14, what is -15acb - 1?
-15acc
In base 8, what is -32 - 4662?
-4714
In base 15, what is 6 + 42093?
42099
In base 11, what is 63 - 675?
-612
In base 6, what is 11443554 + 3?
11444001
In base 6, what is -1 + -300311?
-300312
In base 12, what is 4 - -47?
4b
In base 12, what is -44 - -173b?
16b7
In base 14, what is -39 + -b78?
-bb3
In base 16, what is 471a + 3f?
4759
In base 11, what is -1 + 6981?
|
{
"pile_set_name": "DM Mathematics"
}
|
2*f - 0*f + 6*f. Let p = f - m. Calculate the remainder when 5 is divided by p.
2
Suppose 294 = -4*z - 2*n, 0 = 4*n + 2 + 2. Let a = -49 - z. What is the remainder when a is divided by 13?
11
Let s(o) = -o - 4. Let h be ((-4)/6)/(3/36). Let q be s(h). Let n = 9 + q. Calculate the remainder when 25 is divided by n.
12
Let u(z) = 6*z**3 + z**2 - 3*z + 1. Let q(l) = l**3 + 9*l**2 + 12*l - 12. Calculate the remainder when u(2) is divided by q(-6).
23
Let a(j) = -2*j**2 - 26*j + 16. What is the remainder when 45 is divided by a(-13)?
13
Let h(z) = z**2 - z + 8. Calculate the remainder when 14 is divided by h(0).
6
Let u(g) = 5*g - 11. Calculate the remainder when 44 is divided by u(4).
8
Suppose 57 + 64 = n. Calculate the remainder when n is divided by 31.
28
Let i = 72 - 33. What is the remainder when i is divided by 5?
4
Let o(v) = -v**2 - 26*v - 24. Calculate the remainder when 1 is divided by o(-25).
0
Suppose -g = -5*v + 10, 2*v + 3*v = -g + 10. Suppose -3*k - 50 = -7*x + v*x, 3*k - 67 = -4*x. What is the remainder when 25 is divided by x?
12
Suppose 0 = 6*u - 172 - 416. Calculate the remainder when u is divided by 20.
18
Suppose 3*o + 229 = 4*g - 142, -2*g + 2*o = -188. What is the remainder when g - (-2 + -2 + 4) is divided by 23?
20
What is the remainder when 6*1/8*24 is divided by 5?
3
Suppose 4 = 2*x - x. What is the remainder when 7 is divided by x?
3
Let b = 1 - -1. Let d be ((-5)/2)/((-1)/b). Suppose -3*z = d*v + 1 - 50, -3*z + 41 = v. What is the remainder when 37 is divided by z?
11
Let c(g) = -g**3 - g**2 - g - 9. Let j be c(0). Let z(n) = n**3 + 9*n**2 + n + 13. Calculate the remainder when 5 is divided by z(j).
1
Suppose -5*f = -5*v + 310, 5*v + 263 = 9*v - f. Calculate the remainder when v is divided by 14.
11
Suppose 47 = k - 4*l, -3*l + 141 = 3*k + 2*l. Calculate the remainder when k is divided by 21 - 6 - (3 + -4).
15
Let o = -13 - -18. Suppose 5*m = d - 52, 4*m + 112 = o*d - 85. Calculate the remainder when d is divided by 19.
18
Let g be (7/4 - 1)*4. Let n(z) = -z**2 + 2*z - 3. Let s be n(g). Let x = 10 + s. Calculate the remainder when 15 is divided by x.
3
Let k(q) be the first derivative of -5*q**2/2 - 4*q - 2. What is the remainder when k(-7) is divided by 8?
7
Calculate the remainder when -2*(-5)/(20/38) is divided by 7.
5
Suppose 2*x = l - 174, -4*l + x = -0*x - 668. Calculate the remainder when l is divided by 21.
19
Suppose -4*a - 10 - 6 = 0, -2*d - 5*a + 274 = 0. Calculate the remainder when d is divided by 37.
36
Let d(v) = v**3 + 6*v**2 - 9. What is the remainder when 45 is divided by d(-5)?
13
Let x(y) = y**3 - 9*y**2 + 14*y + 16. Suppose -3 - 12 = -2*c - l, -c + 4*l = -21. What is the remainder when x(7) is divided by c?
7
Let v be ((-98)/70)/(1/(-5)). Suppose 0 = 3*b - v*b + 144. Calculate the remainder when 106 is divided by b.
34
Suppose 4*v = -34 + 14. Let q = 14 + v. Let i = -17 + 33. Calculate the remainder when i is divided by q.
7
What is the remainder when -3*(-481)/(-26)*4/(-6) is divided by 19?
18
Suppose 0 = 5*k + 15, -12 = m + k + 6. Let p be 126/m - (-4)/10. Let x(d) = d**3 + 9*d**2 + d - 11. Calculate the remainder when x(p) is divided by 12.
9
Calculate the remainder when 6 is divided by 10/6*9/5.
0
Let l = -13 - -22. Calculate the remainder when 25 is divided by l.
7
Suppose -4*g = -5*l + 150, 0*g - 3*g + 15 = 0. Suppose 5*m - 31 = -2*v - 5, -4*v - m + 70 = 0. Calculate the remainder when l is divided by v.
16
Suppose -3*q + 32 = 5*s - 19, 9 = s + q. What is the remainder when 8/12 - (-136)/s is divided by 7?
5
Let j(k) = -7*k + 4. Suppose 0*u - u + 15 = 0. Let p = u - 6. Calculate the remainder when j(-3) is divided by p.
7
Suppose -5*k + 22 = -48. What is the remainder when k is divided by 4?
2
Let z(b) = 2*b**2 - 6*b + 6. Calculate the remainder when 14 is divided by z(3).
2
Let z(i) = -16*i + 2 + i**2 + 3*i - 14*i**2 - i**3 + i**2. What is the remainder when 71 is divided by z(-11)?
23
Let s(i) = 3*i**2 + 8*i + 7. Suppose 2*q + 3*q + 5*o - 80 = 0, 4*q - o = 69. Suppose -p + 0 = -q. Calculate the remainder when p is divided by s(-3).
7
Let i(u) = -u**3 - 4*u**2 - 3*u + 2. Let a be i(-3). Suppose 5 = a*y + 1. What is the remainder when y is divided by 2?
0
Let p be (-2)/(-2)*(-5 - -4). Let b = p - -14. Calculate the remainder when b is divided by 7.
6
Suppose 0 = 2*r + 2*s + 2, -7 = 4*r + 5*s. Let c = 2 + 2. Calculate the remainder when c is divided by r.
0
Let d(y) be the third derivative of -5*y**4/24 - y**3/6 + y**2. Suppose 5*j = 2*t + 17, -5*t + 19 = j - 6. Calculate the remainder when d(-3) is divided by t.
2
Let g = -34 - -48. Suppose 0 = 3*p - k - g, -3*p = 2*k - 0*k - 8. What is the remainder when p is divided by 2?
0
Let f(l) = 23*l. Suppose -2*i - 3 = -5. Let b = 23 + -15. Calculate the remainder when f(i) is divided by b.
7
Let i(y) = -y**3 - 7*y**2 - 5*y - 4. Suppose -3*u = -5*u - 6, -f + 4*u = -5. Calculate the remainder when i(f) is divided by ((-16)/2)/((-2)/4).
15
Let y = 7 + 16. Let b = y - 13. Calculate the remainder when 38 is divided by b.
8
Suppose 108 = -5*q + 4*k - 119, -3*k = -q - 41. Let w = 79 + q. Calculate the remainder when w is divided by 2 - 7/(7/(-15)).
15
Let r be 44*10/28*7
|
{
"pile_set_name": "DM Mathematics"
}
|
Rearrange (-3*d**2 + 3*d**2 + 9*d**2)*(7 - 8 + 21 + 3*d) to the form c*d**3 + p + t*d**2 + a*d and give t.
180
Express -116 + 54 + 1 + 17*b + 13*b as z + t*b and give z.
-61
Express 7*s**3 - 7*s**3 + 1731*s**2 - 2*s + 1201*s**2 + 8*s**3 - 4*s**3 as u*s**2 + v*s + c*s**3 + g and give u.
2932
Express (-8*m + 14*m + 121*m)*(-m**2 - m**2 + 3*m**2) - 10*m**2 + 14*m**2 + 26*m**3 - 2*m**2 as r*m + k + z*m**3 + x*m**2 and give x.
2
Express 7923*d + 3 + 7915*d - 15611*d in the form o + q*d and give o.
3
Express (-198*d - 152*d - 190*d - 107*d - 19)*(-d**3 - d**3 - d**3) as t*d**4 + f*d**3 + k*d**2 + g*d + m and give t.
1941
Rearrange -18*n - 831*n - 3*n**2 + 16 - 16 to v*n**2 + w + a*n and give w.
0
Express (13*k - 5*k + 6*k)*(1353*k**3 + 2136*k**3 + 389*k**3 + 5148*k**3) in the form z*k**3 + o + p*k + x*k**2 + m*k**4 and give m.
126364
Express (-4*t**3 - t**3 - t**3)*(-430 - 413 - 704) + t**3 - 5*t**3 + 2*t**3 in the form v*t + f*t**3 + j + z*t**2 and give j.
0
Express -1 + 2*n + 1 + (n - n + 2*n)*(3 - 2 - 2) + 2808*n - 1418*n - 1414*n in the form l*n + o and give o.
0
Express -20*g - g + 0*g - 499 + 19*g - 4*g as v + k*g and give k.
-6
Express 88*n**3 + 235*n**3 + 56*n - 46*n - 36*n in the form t*n**3 + i*n**2 + g*n + s and give t.
323
Express 90678 - 430*y - 9*y - 67*y - 90675 as v*y + x and give x.
3
Express (12*h + 0*h - 4*h)*(131 + 103 - 492)*(2*h**2 - h**3 - 2*h**2) as u*h + t*h**2 + p*h**3 + i + w*h**4 and give w.
2064
Rearrange q**2 + 1359*q**3 + 1225*q**3 + 1650*q - 2586*q**3 to v*q**2 + p*q + k + f*q**3 and give v.
1
Rearrange 5916*p - 6972*p - 15 - 7091*p + 15 to r + q*p and give q.
-8147
Rearrange (-q + 2*q**2 + q)*((2*q + 0*q + 0*q)*(2 + 0 - 3) + 0 - q - 1 + 4 - 2*q + 14*q + 8*q - 1) to the form b + n*q + t*q**2 + m*q**3 and give t.
4
Rearrange (2 + 1 - 4)*(-g + 4 - 4)*(0*g + 0*g + g)*(-10*g - 539*g - 383*g) to the form k*g + y + a*g**2 + n*g**3 and give n.
-932
Express -19931651*x + 2295*x**2 + 19931651*x in the form n*x + w + g*x**2 and give g.
2295
Express (1 - 4 + 4)*(5*f + 0*f - 2*f) + (12*f - 25*f - 37*f)*(8 - 1 + 26) as r*f + d and give d.
0
Express (1807 + 202*k - 1807)*(-13 + 5*k + 13)*(0 + 2 - 1)*(-6 + 1 + 3) as c*k + s + x*k**2 and give x.
-2020
Rearrange -705583*z**2 - z**3 + 1 + 701*z**4 - 222*z**4 + 705583*z**2 to v*z**3 + s*z**4 + k*z**2 + a + i*z and give v.
-1
Rearrange n**4 + 5*n**4 + 1 + 2*n - 23*n**4 - 86*n**2 + 85*n**2 + 6*n**4 - 62*n**3 to the form d*n**3 + k + z*n**4 + s*n**2 + j*n and give d.
-62
Express -f + 3*f - 3*f + (-2*f + 5*f + 0*f)*(-2 + 1 + 0)*(-29 - 24 - 30)*(2 + 1 - 2) as a + c*f and give c.
248
Rearrange (13850 - 13850 - 65*n**3)*(n + 30*n - 3*n) to the form o*n + a + h*n**4 + d*n**2 + x*n**3 and give o.
0
Rearrange -47 - 4*u**2 + u + 835*u**3 - 83 - 838*u**3 + 96 to the form w*u**2 + r*u**3 + y + g*u and give g.
1
Rearrange 1215820 - 1215799 - 4*v + 7*v**2 - 5*v**2 to the form r*v + h*v**2 + b and give h.
2
Express (1199 - 1812 + 934)*(-2 - 3 + 7*d - 2 - 10*d) in the form l + u*d and give l.
-2247
Express (-6*s - 2*s + 7*s + 3*s**3)*(18*s - 238*s + 53*s) in the form f*s**3 + v + b*s**4 + h*s + y*s**2 and give y.
167
Express (-2 + 2 - 1)*(-33 - 37 + 19)*(3 - 2 + 2)*(-5*k**3 - 2*k**3 - 5*k**3) in the form d*k**3 + f + a*k**2 + p*k and give d.
-1836
Rearrange 20 + 64 + 35 + 8*n + 59*n + 34*n + (4 + 1 - 3)*(-n - 3*n + 2*n) to l + p*n and give l.
119
Rearrange (-5 - 22 + 13)*(2*l**2 - 3*l**4 - 2*l**2) + l - 177*l**4 - 3 - 8 + 174*l**4 - 2*l**2 to q*l**2 + s + y*l + j*l**3 + i*l**4 and give q.
-2
Express -1 + 63*w + 2 + 56*w - 140*w + 26*w - 141*w**3 as m + p*w + g*w**2 + h*w**3 and give h.
-141
Express 3*i**2 - 109*i - i**2 + i**4 + 106*i - 8*i**2 + 5*i**2 - 509 in the form o*i + k*i**3 + f + y*i**2 + z*i**4 and give f.
-509
Rearrange -118*g - 394*g + 122*g to o + d*g and give d.
-390
Rearrange -378571*l**2 - 1 - 3*l**4 + 4 - 3*l**3 + 378573*l**2 - 4 to i*l**4 + u*l**3 + v*l**2 + q*l + x and give i.
-3
Rearrange (-7*w - 15*w + 20*w)*(-1 - w + 1 + (1 - 4 + 1)*(-w + w - w) + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
5*d + 5. Let a(u) = -2*f(u) - 5*z(u). Let h(i) = -16*i. Calculate a(h(w)).
256*w**2
Let p(b) = b. Let v(m) = 11*m - 25*m + 4*m + 12*m. Determine p(v(u)).
2*u
Let k(i) = -52*i. Let u(n) = 2*n - 2*n + 2*n. Determine u(k(t)).
-104*t
Let s(f) = 5*f. Let i(a) = 9*a. Let m(g) = -4*g. Let c(q) = -6*i(q) - 14*m(q). Give c(s(w)).
10*w
Let f(z) = -3*z - 8. Let x(b) = -b - 3. Let k(p) = -3*f(p) + 8*x(p). Let v(j) be the second derivative of 3*j**3 - 5*j - 3. Calculate k(v(n)).
18*n
Let m(t) = 2*t - 6. Let c(h) = -18*h. Give m(c(g)).
-36*g - 6
Let v(a) = a**2. Let k = -3 + 7. Let y(f) = -k*f - 3*f + 4*f - 3*f. Determine y(v(w)).
-6*w**2
Let r(f) = -3*f. Let b(o) be the third derivative of -5*o**4/24 + 3*o**2. Calculate b(r(n)).
15*n
Let l(a) = -14*a**2 - 6*a. Let n(u) = -7*u**2. Determine l(n(h)).
-686*h**4 + 42*h**2
Let u(t) = -2*t - 92 + 53 - 3*t + 52. Let k(n) = 2*n**2. Determine u(k(h)).
-10*h**2 + 13
Let i(n) = n**2. Let l(k) = 10*k + 8. Let u(b) = 5*b + 4. Let q(v) = -3*l(v) + 5*u(v). What is i(q(m))?
25*m**2 + 40*m + 16
Let d(m) = -m - 8. Let t(n) be the third derivative of -n**5/30 + 22*n**2. Calculate d(t(s)).
2*s**2 - 8
Let d(n) = -3*n**2. Let q(k) = -3*k**2 + 40. Calculate q(d(f)).
-27*f**4 + 40
Let a(m) = -27*m + 15. Let c(d) = 4*d - 2. Let y(b) = -2*a(b) - 15*c(b). Let z(x) = 2*x**2. Determine y(z(l)).
-12*l**2
Let f(t) = 20*t. Let n(v) = -v. Let a(h) = -f(h) - 24*n(h). Let z(y) = y**2. Calculate z(a(x)).
16*x**2
Let o(c) = -26*c + 1. Let v(n) = -2*n**2 + 30. Determine o(v(t)).
52*t**2 - 779
Let m(y) = -2*y**2. Let f(r) = 0*r + 0*r - 41*r**2 + 43*r**2. Give m(f(a)).
-8*a**4
Let w(g) = -5*g + 6. Let m = 11 - 5. Let u(y) = -y + 1. Let r(x) = m*u(x) - w(x). Let h(f) = -6*f. What is r(h(b))?
6*b
Let z(n) be the third derivative of -n**4/24 - 14*n**2. Let l(w) = 6*w**2 - 5. Let v(p) = -7*p**2 + 6. Let f(o) = 6*l(o) + 5*v(o). Determine z(f(g)).
-g**2
Let z(k) = 7*k**2. Let q(c) = -12*c**2 - 20. What is q(z(v))?
-588*v**4 - 20
Suppose -3*t = 4*g - 0*t - 40, 29 = 3*g + 2*t. Let j(n) = -7 + g + n. Let y(f) = 2*f**2. Determine j(y(r)).
2*r**2
Let l(p) = 10*p. Let v(i) = 21*i + 2. Determine v(l(w)).
210*w + 2
Let s(n) = 42*n**2. Let b(k) = -138*k. Calculate s(b(q)).
799848*q**2
Let i(g) = -2*g**2. Let c be 2/((-9)/(-6) + -1). Let t(q) = c - 4 + 36*q**2 - 39*q**2. Calculate i(t(j)).
-18*j**4
Let l(a) be the first derivative of 2*a**3/3 - 1. Let j(w) = -18*w + 68*w - 25*w - 24*w. Determine j(l(d)).
2*d**2
Let z(h) be the second derivative of 0*h**3 - 1/4*h**4 + 2*h + 0*h**2 + 0. Let c(x) = 4*x. Give c(z(s)).
-12*s**2
Let o(u) = 2*u**2. Let p(d) = d**3 + 3*d**2 - 1. Let j be p(-2). Let f(n) be the first derivative of j + 1/2*n**2 + 0*n. Determine o(f(w)).
2*w**2
Let x(s) = 94*s**2. Let j(f) = -4*f. Determine j(x(n)).
-376*n**2
Let r(v) = -4*v**2. Let a(o) = o**2. Let f be a(2). Let z = 13 + -9. Let b(l) = -z - 2*l + f. Give b(r(w)).
8*w**2
Let l(w) = -2*w. Let s(f) be the first derivative of -f**4/6 - 4*f - 3. Let j(z) be the first derivative of s(z). Determine j(l(r)).
-8*r**2
Let k(o) = o + 7. Let l be k(-5). Let a(z) = -2*z**2 + 8*z**l - 4*z**2. Let n(x) = -6*x. Determine n(a(c)).
-12*c**2
Let v(w) = -6*w**2. Suppose 0 = 5*d - 112 + 42. Let g(x) = -14*x + d*x + 3*x**2. What is g(v(l))?
108*l**4
Let u(l) = 5*l. Let i(o) = -14*o. Suppose 24*n = 21*n - 18. Let m(w) = n*i(w) - 17*u(w). Let d(r) = r. What is m(d(f))?
-f
Let z(h) = 2*h. Let m(g) be the first derivative of -g**3/3 - 35. Give m(z(f)).
-4*f**2
Let n(q) = -q**2. Let k = 1 + 1. Let o = 4 - k. Let x(t) = -t - 4*t + o*t. Calculate x(n(h)).
3*h**2
Let y(n) = -23*n. Let c(z) = 517*z**2. Give c(y(t)).
273493*t**2
Let u(c) = -c. Let y(n) = -2*n - 265. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
12*o = 1027 for o.
-79
Solve 1073*u - 36404 = -30*u + 7716 for u.
40
Solve -1227*p - 6758 = -134*p - 20967 for p.
13
Solve 83*w + 933 + 1308 = 0 for w.
-27
Solve 879*w + 883*w = -860*w + 2590*w - 2368 for w.
-74
Solve 4*g + 102*g = -41*g - 2205 for g.
-15
Solve 0 = -147*s - 27313 + 33193 for s.
40
Solve -14293 + 27778 = 5160*k - 12483 - 41112 for k.
13
Solve -253*l - 5229 - 1148 = -83*l + 8073 for l.
-85
Solve -109869*p + 109802*p + 3149 = 0 for p.
47
Solve -98*x - 3309 - 854 = 2207 for x.
-65
Solve 108 = 280243*t - 280246*t for t.
-36
Solve -545*y - 3863 = -836*y + 6031 for y.
34
Solve 147*m + 2892 + 342 = 0 for m.
-22
Solve -794*i + 35 - 53230 = 758*i + 15093 for i.
-44
Solve -51*p + 296*p - 105*p = -8303 - 2757 for p.
-79
Solve 5131*v + 2005*v = -306848 for v.
-43
Solve 69*p - 22*p = -73*p + 9360 for p.
78
Solve -1686*i = i - 107968 for i.
64
Solve 12625 = 157556514*v - 157556413*v for v.
125
Solve -42*y - 17*y + 5624 = 79*y + 14*y for y.
37
Solve 488*t + 15702 + 11358 = 316*t - 488*t for t.
-41
Solve -844 = 284*h - 221*h - 1296 - 3517 for h.
63
Solve 38*i + 70*i - 1254 = 70*i for i.
33
Solve 8002 = -295*k - 4978 for k.
-44
Solve -7516 = 182*u + 70*u - 2416 + 6240 for u.
-45
Solve 92832 = -13047*b - 58325 + 35434 - 1700 for b.
-9
Solve 3241*u - 2733*u = 10668 for u.
21
Solve -6993 + 1108 = -107*z for z.
55
Solve -270*w - 29780 = -585*w - 7100 for w.
72
Solve 76*o - 8079 = -9751 for o.
-22
Solve 2372*w + 33747 - 7655 = 0 for w.
-11
Solve -37*b = 126*b - 2220 + 8251 for b.
-37
Solve 645*h - 1862*h = 908*h + 34000 for h.
-16
Solve -24*w - 54*w + 1922 = 26*w - 73*w for w.
62
Solve 0 = 6375*s + 75440 - 60335 - 73046 - 95059 for s.
24
Solve -6613*a = -2787*a + 310953 + 21909 for a.
-87
Solve 50*m - 67*m + 111*m - m = 1674 for m.
18
Solve 0 = -80*i - 389*i - 3616 + 18624 for i.
32
Solve 5067*k + 2727*k - 1838*k + 5815*k = 317817 for k.
27
Solve 689*f - 68908 = -809*f for f.
46
Solve 88*f - 252*f = 636*f + 48800 for f.
-61
Solve 7*r - 175*r = -8*r - 3112 - 4568 for r.
48
Solve 0 = -1906*k + 3550*k + 9598 - 1378 for k.
-5
Solve -13590 = -6*y - 13440 for y.
25
Solve 224*b + 277*b + 24894 = 40*b for b.
-54
Solve 10368*r + 10364*r - 20682*r + 367 + 683 = 0 for r.
-21
Solve 63*h - 111*h + 13253 = 359*h - 11574 for h.
61
Solve 285*c - 4195 - 10910 = 0 for c.
53
Solve -798*l - 11416 - 4476 = 866 for l.
-21
Solve 7019*f + 348*f + 233144 + 363583 = 0 for f.
-81
Solve -967*y - 22618 - 16062 = 0 for y.
-40
Solve 1504*c - 23174 = 430*c - 3265*c - 365955 for c.
-79
Solve -105*b + 2591 - 947 + 3637 = 31 for b.
50
Solve -165*k + 672*k + 5555 = 204*k + 202*k for k.
-55
Solve -6700 - 44193 + 221934 + 104784 = 5015*p for p.
55
Solve -1349*j + 2064*j = 25025 for j.
35
Solve 118*v - 225 = 11*v - 118*v for v.
1
Solve -921*l + 57*l - 606*l = -135240 for l.
92
Solve -11064 = -1515*c - 36819 for c.
-17
Solve 1716 = -512*n - 4428 for n.
-12
Solve -70*u + 534*u = -153*u - 26579 - 27100 for u.
-87
Solve -3672 = 42074*h - 42125*h for h.
72
Solve -1163 - 31 = -67*k + 1938 - 385 for k.
41
Solve -255*u - 3302 - 13 = 0 for u.
-13
Solve 4519*p - 4375*p = 14400 for p.
100
Solve 13498 + 24528 = -878*o + 8035 - 739 for o.
-35
Solve 408*h - 92*h + 32246 = -385*h for h.
-46
Solve 74*x + 6552 = 229*x + 989 - 7457 for x.
84
Solve -5685 + 18830 = 829*r - 4575 - 17098 for r.
42
Solve 2188 + 6748 = -867*r - 4936 for r.
-16
Solve 0 = -2889*y + 3371*y - 53502 for y.
111
Solve -164*i - 375*i + 63600 = -152*i + 673*i for i.
60
Solve 0 = 4462*f - 3240*f + 43992 for f.
-36
Solve 0 = -2790*z + 2773*z + 391 for z.
23
Solve -2137 + 2459 = -728*q + 670*q + 6992 for q.
115
Solve 1242149*d - 1240575*d + 179436 = 0 for d.
-114
Solve -131*p - 39*p - 94*p = 5313 - 825 for p.
-17
Solve 238*i - 150*i + 8598 = -236*i - 3066 for i.
-36
Solve 7938*c + 200581 - 127473 + 176031 = -195389 for c.
-56
Solve 1496 - 408 = 17*g for g.
64
Solve 1144*h + 1171*h - 21 = 2290*h + 479 for h.
20
Solve 24*m + 294*m = 1073 + 7195 for m.
26
Solve 85956 - 342206 = 5125*x for x.
-50
Solve -662*p + 653*p + 468 = 0 for p.
52
Solve 693*r + 6536 + 19072 = 3023 - 7907 for r.
-44
Solve -724*z = 6459*z - 22650 + 260890 + 49080 for z.
-40
Solve -385*u + 1091*u - 9394 = 552*u for u.
61
Solve -86625 - 126426 = -5195*b - 26031 for b.
36
Solve 759696 = 3403*t - 10851*t for t.
-102
Solve 0 = 101*k - 178*k + 20*
|
{
"pile_set_name": "DM Mathematics"
}
|
241 - 13.66. Round k to 3 dps.
-0.008
Let r = -3.07 + -139.93. Let p = r - -143.0119. What is p rounded to three decimal places?
0.012
Let q = -1017.9118 + 1018. What is q rounded to 3 decimal places?
0.088
Let c = -60 - -20. Let o = -39.999912 - c. What is o rounded to five decimal places?
0.00009
Let s = -1057.7412 + 1058. What is s rounded to three dps?
0.259
Let m = -0.467846 - 0.002162. Let t = -0.47 - m. Round t to five dps.
0.00001
Let k = 27325.46 - 25555.901. Let t = k - 1791.55894. Let g = t + 22. What is g rounded to five decimal places?
0.00006
Let u(h) = -5*h**3 - 2*h**2 - 2*h - 1. Let w be u(-1). Suppose j + 8519 = a, -4*j + 50532 = 5*a + 7964. Suppose -w*z + a = 30116. Round z to the nearest 1000.
-5000
Let r = -88 + 106. Suppose r*y + 39400000 = 16*y. Round y to the nearest 1000000.
-20000000
Let w = -470.0234 - -470. Round w to three dps.
-0.023
Let v = -52.7 + 15.6. Let s = v - -40. What is s rounded to the nearest integer?
3
Let j = 4.1 - 4.09678. What is j rounded to 3 dps?
0.003
Suppose 2*r = -2 + 6. Suppose 0 = w + 3*o - 45443, 2*w - r*o = -0*w + 90918. Let a = w + -91455. What is a rounded to the nearest 10000?
-50000
Suppose -3*x + x - 2*v - 5303996 = 0, -5*v - 2651990 = x. Let p = -9 - -28. Let f be (-2 - p/3)*x. Round f to the nearest 1000000.
22000000
Let h(s) = 2*s**3 - s**2 + 6*s - 8. Let b be h(5). Let p = 11 - 8. Let o be (12042 - 2)*(b + p). Round o to the nearest one hundred thousand.
3000000
Let p = -1.2 - -0.2. Let r = p - 0.2. Let t = 1.18 + r. What is t rounded to 1 dp?
0
Let r = 4211 - 8161. Round r to the nearest 1000.
-4000
Let k = 7.8 - 7. Let h = 1620745.1999845 - 1620746. Let z = h + k. What is z rounded to 6 dps?
-0.000016
Let t be 1000*(-2 + -48298)/1. What is t rounded to the nearest one million?
-48000000
Let y = 94.84 - 95. Let k = 7404.83974 + -7405. Let m = y - k. Round m to four decimal places.
0.0003
Suppose -4*z - 2*k + 1443 = 157, -3*k = -9. Let m be (-20625)/2*z/(-6). Round m to the nearest 100000.
600000
Suppose -2*o = 19424 + 178. Let v = o + -18799. What is v rounded to the nearest 10000?
-30000
Let z = -240.99132 + 241. What is z rounded to 4 dps?
0.0087
Let f = 0.02 - 0.006. Let w = -1.096 - f. Let r = -10.71 - w. What is r rounded to the nearest integer?
-10
Let u = 0.05 + -0.059. Let o = u - -0.008911. Round o to 5 decimal places.
-0.00009
Let v = 160.644 - 157. Let y = v - 4.1. Round y to two decimal places.
-0.46
Let f = -1.04930499 - -9742.04978499. Let b = -9757 + f. Let l = b + 16. What is l rounded to four dps?
0.0005
Let q(p) be the third derivative of 62501*p**5/60 + p**4/4 + 2*p**2. Let g be q(-6). Round g to the nearest one hundred thousand.
2300000
Let g = -73.000035 - -73. Round g to five decimal places.
-0.00004
Let t = -0.08 - -0.014. Let u = t - -0.066175. Round u to five decimal places.
0.00018
Suppose 0 = d - 4*d + 24. Let u(z) be the third derivative of -70833*z**4/4 - 8*z**3/3 - z**2 - 26*z. Let y be u(d). Round y to the nearest 1000000.
-3000000
Let w = -128 - 7. Let h = w - -147.6. Let i = 12.718 - h. What is i rounded to two decimal places?
0.12
Suppose -4*m - 4*n + 12 = 0, -3*n = -6*n. Let l(j) = -11*j**3 + j**2 - j - 2. Let u be l(m). Let q = 833 + u. What is q rounded to the nearest one hundred?
500
Let o = 2.21 + -2.3. Let d = o - -0.1. Round d to one dp.
0
Let r be (8712/(-32))/((-2)/(-640)*-4). Round r to the nearest one thousand.
22000
Let a = -34 + 33.793. Let z = -107.793 + a. Let k = z - -120.3. Round k to zero decimal places.
12
Let n = 4.4736 - 4.57. Let v = n + 0.098. What is v rounded to three dps?
0.002
Let y(x) = -2*x**2 + 17*x + 1. Let o be y(8). Suppose o*k - 103500 = 4*k. Round k to the nearest 1000.
21000
Let f = 27.7 + -27.913. Let q = 0.21300133 + f. What is q rounded to 6 decimal places?
0.000001
Suppose 4*q - 824 - 7004 = -2*u, 5*u - 19505 = 3*q. What is u rounded to the nearest 100?
3900
Let t = 5702302828.82 + -5702303499.820000918. Let f = 671 + t. Round f to 7 decimal places.
-0.0000009
Let i = 12073.5253913 - 0.1053913. Let o = i + -12073.5649919. Let b = o + 0.145. Round b to 6 dps.
0.000008
Let k(f) = -26*f**2 + 17*f + 29. Let h be k(11). What is h rounded to the nearest 100?
-2900
Let l = -49.99999633 + 50. Round l to 6 decimal places.
0.000004
Let t = -100102.169945 + 100130.17. Let f = 28 - t. Round f to 5 dps.
-0.00006
Let t = -0.0456 - 6.1444. Round t to 0 dps.
-6
Let v be 3/9 + 3976/24. What is v rounded to the nearest integer?
166
Let o = 1.082 - -609.918. Let f = o + -610.999999641. What is f rounded to 7 dps?
0.0000004
Suppose -m = -2 - 9. Let a be (1 - m)/(-6 - (-7557)/1260). What is a rounded to the nearest one thousand?
4000
Suppose -3292318 = -0*k + 2*k. Let d = -156159 - k. What is d rounded to the nearest 1000000?
1000000
Let x = 947683 + -386683. Round x to the nearest 100000.
600000
Let t be 0/((-5)/5) - -1. Let f(w) = -409999*w**3 - w**2. Let z be f(t). Round z to the nearest one hundred thousand.
-400000
Let t = 62.93 + -61. Let v = -10550 +
|
{
"pile_set_name": "DM Mathematics"
}
|
4 = -7*a. Which is smaller: a or p?
p
Let o = 4.77 + -2.5. Let j = -1.73 - o. Which is greater: j or 23?
23
Let m(n) = -7*n - 11 - 8*n + 44 + n**2. Let y be m(10). Do -73/4 and y have the same value?
False
Suppose n - 88 = 5*q, 272*n - 275*n + 30 = -2*q. Is 1 greater than or equal to q?
True
Let v = -64 + 79. Suppose 0 = 7*m - v + 8. Is 11/10 != m?
True
Let q be 2*-2 + 0/5 - -6. Suppose 2*k = -q*k + 2*g + 148, -185 = -5*k - 2*g. Is 35 at least k?
False
Let f(t) = 64*t**2 + 11*t - 27. Let q be f(2). Is 1258/5 greater than q?
True
Let j = -150.11 + 149. Let b = j - 2.89. Is -39 not equal to b?
True
Let q = 293795 - 1768279/6. Is q less than or equal to -919?
False
Suppose 7*r - 2529 = -1920. Let g be ((-118)/(-100) + -1)*145/r. Is g less than or equal to 1?
True
Let b = 948 - 649. Suppose 5*r - b = 91. Let n = 131 - 52. Is r at most as big as n?
True
Let j = -1.8039 - -0.0439. Let n = j + 3.76. Is 345 at least n?
True
Let t(i) be the third derivative of i**6/120 + 7*i**5/30 - 19*i**4/12 - 11*i**3/2 + 3*i**2 + 1. Let h be t(-18). Which is greater: -646 or h?
h
Let d = 394 + -281. Let c = -187 + 300. Is c >= d?
True
Let c = -2661 + 3254. Which is smaller: c or 590?
590
Suppose 3*y = 2*m - 32, 5*m + 0*m = -y - 5. Let g be 5/y - (-1 - -1). Let v = 19.5 - 17.5. Which is smaller: g or v?
g
Let n(u) = -u**2 + 12*u - 30. Let v be n(8). Suppose v*w = 0, -29*q - 5*w = -24*q + 65. Which is greater: -180/13 or q?
q
Let w = 49042 + -49037. Let i = 20/9 - 271/126. Is i <= w?
True
Let s = 0.0461 - 0.0245. Which is smaller: 0 or s?
0
Let d = -490 - -51452/105. Suppose w + 4 = b, 2*b - w = 3*w + 14. Let p be 1*(b + -4 + 25 + -21). Which is greater: p or d?
p
Let d = 3578 + -533124/149. Is d not equal to 1?
True
Let z = -312711 + 312709. Let r = 8 - 9.6. Is z greater than r?
False
Suppose -6 = y, 33*l - 40 = 31*l + 5*y. Which is greater: 285/59 or l?
l
Let k = -70787/450 + 4134/25. Which is bigger: k or 8?
k
Suppose 117*g - 46*g = -126*g - 214336. Is -1088 less than or equal to g?
True
Let h = -5897 + 5896.7. Which is smaller: h or -135?
-135
Suppose 0 = -9*q + 17*q + 8. Let f be 5 + -2 + 2 + (-15876)/3164. Is q < f?
True
Let l = -22.84771 + -0.15229. Which is smaller: l or -453?
-453
Let q(v) = -3*v**2 + 10*v + 11. Let i(g) = -7*g**2 + 23*g + 21. Let z(w) = 2*i(w) - 5*q(w). Suppose -4 - 26 = -5*n. Let d be z(n). Which is smaller: d or 18/7?
d
Let s be (-44)/(-3)*(-3)/(-2). Let p be s/(-10) + (-4)/(-20). Let r = 3/20 - -87/220. Is p != r?
True
Let p = 51697.4 - 51697. Let l = -6.9 - -0.9. Which is smaller: l or p?
l
Suppose 110 = 20*l - 15*l. Let i = 14 - l. Let v be (44/i)/(3/(-6)). Is 11 > v?
False
Let k(h) = 4821*h - 458. Let v be k(1). Which is greater: 4364 or v?
4364
Let u be 2/21 + (1 - 79628/72660). Is -1 >= u?
False
Let y = 320 - 4162/13. Let c be 10/154 + (-63)/147. Is y less than or equal to c?
False
Let s = -7 - -11.5. Let j = s + -4.1. Let r = 1.5 + j. Is r != 1?
True
Let i be -20*24/40 + 15 + -2. Are i and 74 equal?
False
Let b(f) = -6*f + 158. Let k be b(27). Let c be 4 - ((-2)/k)/(3/18). Which is bigger: c or 27?
27
Let d = 0.0496 + -265.0496. Let f = d + 157. Let r = -110 - f. Which is greater: r or 0.12?
0.12
Let a = 224 + -187. Suppose -a*o - 1968 = -25*o. Is o >= -163?
False
Let p(t) = -t - 40. Let b be p(-5). Let h(a) = -3*a. Let y be h(-4). Let c be (y/245)/(-2 - 56/b). Is 1 less than c?
False
Let g be 22/5 + (-3)/(-5). Suppose -g*w = 4*a + 12, 3*a + w = 1 + 1. Suppose -3*y + 21 = -a*d - 2, -4*y = -d - 24. Which is greater: -3 or d?
-3
Let r = -49064/7 + 7016. Is r greater than 19?
False
Let d(f) = f**2 - 37*f - 3026. Let i be d(-42). Is 294 smaller than i?
False
Let d(r) = -82*r - 417. Let h(y) = 4*y + 34. Let j be h(-10). Let p be d(j). Is p at least 74?
True
Suppose 5*d + 115 = 5*k - 0*k, 0 = 2*k + 5*d - 32. Let l = 20 - k. Let q be (6/69)/(3/3). Which is bigger: l or q?
q
Let z = 0.011 + 2.709. Let f = z + 0.28. Let t = -2380 + 2398. Is f at least t?
False
Suppose -n - 49 = -2*r, 2*r - 5*r + 73 = -n. Let s be (-108)/r*8/(-3). Let x be (-18)/14*8/s. Is x > 1/4?
False
Suppose 0 = 6*d - 3*t - 249, -1833 + 1633 = -5*d + 5*t. Are d and 53 non-equal?
True
Suppose 5*c - 8 = -2*l + 4*l, -4*l = 3*c - 10. Which is smaller: l or 94/65?
l
Let o = -529 - -529. Let u = 102.74 + 2.26. Are u and o equal?
False
Let t(b) = -b**3 - 20*b**2 + 29*b + 12. Let s be t(-23). Which is bigger: s or 934?
934
Suppose 0 = 6*o - 2 - 4. Suppose -3*z + a + 2 = -z, 0 = z - a + o. Let m(y) = -y
|
{
"pile_set_name": "DM Mathematics"
}
|
2 for k.
-1
Solve -16472*u - 5*r + 30 = -16472*u, 2*r - 5 = -7*u for u.
-1
Solve -5*c - q + 1 = 0, 0*q - 5*q + 10 = 3*c - 6*c - 23 for c.
-1
Solve 5*k = 3*w - 20, -2*w + 29 - 10 = 19 for k.
-4
Solve 0 = 4*x + 34*u - 310 - 248, -59 = 5*x - 2*u for x.
-5
Solve 21*d = 2*f - 96, 14 = -29194*d + 29189*d - f for d.
-4
Solve -5*v = 14*n - 357 - 128, -40 = 5*v - n for v.
-1
Solve -9*h = i - 29, 1137*i - 6 = -4*h + 1140*i for h.
3
Solve 99 = 3*r - 38*f, -2*r - 40*f = -78*f + 45*f + 31 for r.
-5
Solve 5 = -s, 8479 - 8556 = 4*o + 5*s for o.
-13
Solve -8660*z - 7 = -8665*z - 4*q, 3*z + 2*q = 5 for z.
3
Solve -10*v + 98 = -4*k, 2 + 63 = -v - 14*k - 20*k + 30*k for v.
3
Solve -6*j - 5*o + 63 = 0, 4*o + 51 = -24*j + 27*j for j.
13
Solve -215361*b + 2*q + 40 = -215356*b, -5*q = 2*b - 16 for b.
8
Solve 0 = 5*i - 5*q - 70, -6*i + 8*i - 2 = 12*q + 6 for i.
16
Solve -117*v + 119*v + 5*m - 39 = 0, -4*m + 42 = 2*v for v.
27
Solve 2*y = -4*g - 36, 3*y = -5*g - 133893 + 133843 for y.
-10
Solve r + 4*i - 2*i - 30 = -0*r + 3*r, 40 = 3*r + 2*i for r.
2
Solve -222 = 7*r + 4*r + w + 4*w, 0 = 5*w - 20 for r.
-22
Solve 4456*l - 4447*l = g + 228, -5*l + 125 = 0 for g.
-3
Solve -6272516*y - 3 - 17 = -6272518*y + 4*p, p = 3*y for y.
-2
Solve k + u + 16 = 0, 1626 - 1546 = -5*k - 4*u for k.
-16
Solve -4*u - 3*u - 51 = 2*m - 3*m, 3565*u - 3568*u - 27 = -3*m for m.
2
Solve 16126*c - i + 27 = 16121*c + 3*i, -2*i + 27 = 11*c for c.
1
Solve -5*m = x - 111, 405*x - 401*x = 2*m - 40 for x.
1
Solve 153*u - 60 = -4*q + 156*u, -u - 9 = -5*q for q.
-3
Solve 5*f = 4*c - 7*c - 2, -500*f = -502*f - c for f.
2
Solve -4*b + 49 = -5*s, s = -4*b - 31899 + 31894 for b.
1
Solve 2446*q - 4*b = 2445*q + 97, 180*b = 3*q + 45 for q.
105
Solve 9*y - 56*f = 11*y - 26*f + 118, -4*y + 4*f + 20 = -0*y for y.
1
Solve -3*c - 35*s - 96*s + 8403 = 235*s, 2*c = 3*s - 79 for c.
-5
Solve 0 = 11*b - 5*t + 18, 35844*b - 35849*b - 5*t = 30 for b.
-3
Solve -4*k + 51 = -r, 3*r + 462*k - 37 = 460*k - 8 for r.
1
Solve -y + 145*a = 140*a - 9, 28*y + 5*a - 15 = -53 for y.
-1
Solve 0 = 3*b - 2*a + 50, -8*b - a = -540 + 534 for b.
-2
Solve 3*c + 7*z + 7 = 8*z - 5*z, c - 11 = 12*z for c.
-1
Solve 31 = -2*v + 3*v - 3*b, 147*b + 53 = -v + 143*b for v.
-5
Solve 0 = 2*w - 10*c + 98, 374 = -0*c + 2*c + 708 - 352 for w.
-4
Solve 25*x - 3*u + 0*u = u + 1530, 134 = -11*x + 13*x + 2*u for x.
62
Solve -u - 2997*l + 3001*l = 46, 0 = -2*l + 6 for u.
-34
Solve 31*u - 155 = 0, 0*d - 2*u + 5*u = -3*d - u + 71 for d.
17
Solve 2*a + 53*y = 77 + 73 + 28 + 64, -11 = -a + y for a.
15
Solve 11*z = -3*n + 173, 36 = 2*n + 3*z + 15 - 25 for n.
-1
Solve -18 = -q - 4*g, -39334291*q + 39334295*q = 32*g + 24 for q.
14
Solve -6*n + n + 4*l - 1599308 + 1599360 = 0, 2*l = -6*n + 42 for n.
8
Solve -g - 23*v = 8*v + 64, -3*g - 4*v = -789 + 803 for g.
-2
Solve -6*g - 439*x + 444*x = 106 - 518, 126 = 2*g + 4*x for g.
67
Solve 4*o + 24*l = -8, 150160*o - 12 = 150161*o + l for o.
-14
Solve 3*r + 2*k + 10 = 0, 83*r - 56*r + 15 = 23*r - 3*k for r.
0
Solve w + 19713*y - 19708*y - 10 = 0, 5*w = 46*y - 21 for w.
5
Solve 4*x - 5*q = 6*x + 182, -388*x = -386*x - 21*q + 78 for x.
-81
Solve -4*g + 3*g - 18*w = -16*w + 19, 4*w + 44 - 63 = g for g.
-19
Solve 2333*h - 8*g = 2343*h + 36, -14 = 5*h + 2*g for h.
-2
Solve -7*j = 3*z + 17*j - 22*j + 8, j + 7 = 0 for z.
2
Solve -3*w - 141 = 3*m, -2*w + 22*m + 987 - 73 = 0 for w.
-5
Solve -q - 423 + 437 = 3*s, 0 = 5*q - 14*s - 70 for q.
14
Solve x = -0*x - 3*w - 21, -21*x + 5*w - 7*w + 8 = -13*x for x.
3
Solve 2*v + 3*h + 137 - 127 = -0*v, -12 = -3*h for v.
-11
Solve -2*a - 3*a + 903*m - 904*m = 21, 42 = -4*a - 5*m for a.
-3
Solve 26 = -3*m - 4*r, 23*r - 7664 = -2*m - 7783 for m.
-2
Solve 22*g + 16*s = 18*g, 2*s = 4*g - 54 for g.
12
Solve 201 = -4*d - 5*b - 8, 23 + 13
|
{
"pile_set_name": "DM Mathematics"
}
|
2/3*s**2 + 4/9*s**3 - 8/9*s - q.
-2*(s - 2)**2*(s + 1)**2/9
What is h in -24*h**3 + 8*h**4 - 32*h**2 - 15*h**4 + 5*h**4 - 2*h**4 = 0?
-4, -2, 0
Let d = -322 + 414. Let m be d/230 + 12/(-55). Factor -2/11*r**5 + 0 + 0*r + 0*r**3 + m*r**4 + 0*r**2.
-2*r**4*(r - 1)/11
Let o(q) be the first derivative of -4*q**3/3 + 732*q**2 - 2582. Find s, given that o(s) = 0.
0, 366
Let x(m) = m**2 - 17*m - 105. Let z be x(22). Suppose -z*q - 35 = -5*s, 10*s - 3*q - 5 = 15*s. Factor 0*d + 2/3*d**4 - 2*d**3 + 4/3*d**s + 0.
2*d**2*(d - 2)*(d - 1)/3
Let a be (3/220*-4)/(352/1920 - (-3)/(-9)). Factor 8/11*n**3 + a*n + 10/11*n**2 + 2/11*n**4 + 0.
2*n*(n + 1)**2*(n + 2)/11
Let v(o) be the first derivative of 968/9*o - 80/27*o**3 - 154/9*o**2 + 62 - 1/9*o**4. Suppose v(r) = 0. What is r?
-11, 2
Let h be (105/18 + -7)*205/(-287). Factor 0 + 1/2*z - h*z**2 - 1/3*z**3.
-z*(z + 3)*(2*z - 1)/6
Suppose g = 89 - 77. Let -5 + g*x + 43*x - 35*x**2 + 23 + 12 = 0. Calculate x.
-3/7, 2
Let s(h) = h**3 + 10*h**2 + 8*h - 4. Let x be s(-9). Suppose -x*i - 25 = -3*u, 0 = -0*u - u + 4*i + 13. Solve 4*m**2 + 0 + u*m + 4 - 1 - 1 + m**3 = 0 for m.
-2, -1
Let i(m) be the first derivative of -m**4/9 - 4*m**3/9 - 4*m**2/9 - 2165. Determine w, given that i(w) = 0.
-2, -1, 0
Suppose -2*o + 15*o - 26 = 0. Solve 6 - 14 + 4*b**o - 13 - 3 + 4*b = 0.
-3, 2
Let u(w) be the first derivative of w**6/2 + 62*w**5/5 + 195*w**4/4 - 456*w**3 + 216*w**2 + 1047. Suppose u(p) = 0. What is p?
-12, 0, 1/3, 3
Let z = 63332 - 189992/3. Let d = 3/70 - -901/210. Factor z*h**2 - d*h + 1.
(h - 3)*(4*h - 1)/3
Let m(q) = 4*q**2 - 7*q - 5. Let l(w) = -2*w**2 + 4*w + 2. Suppose 2*t - 2 = -4*i + 6, -t + 5*i = 17. Let d = 9 - 14. Let j(c) = d*l(c) + t*m(c). Factor j(b).
2*b*(b - 3)
Let u(h) be the second derivative of -h**4/3 + 272*h**3/3 + 834*h**2 - 300*h. Factor u(z).
-4*(z - 139)*(z + 3)
Suppose -10*w + 72 = -w. Suppose 21*l + 12*l**2 - 4*l**4 - 8*l - 4*l**3 - w - 9*l = 0. What is l?
-2, -1, 1
Suppose -23*w = 4*w - 95*w. Let u(s) be the first derivative of -2/7*s**2 + 5 + 1/14*s**4 + w*s - 2/21*s**3. Factor u(f).
2*f*(f - 2)*(f + 1)/7
Let s(f) be the first derivative of -f**5/180 - 17*f**2 - 38. Let w(n) be the second derivative of s(n). Determine m so that w(m) = 0.
0
Let l = -5067658/13 - -389820. Factor -50/13*y + l*y**3 - 2 - 22/13*y**2.
2*(y - 13)*(y + 1)**2/13
Let p(d) = -2664*d**3 - 2*d**2 - 86*d - 86. Let u be p(-1). Let f(q) be the second derivative of 0 - 1/5*q**5 + 32*q - 242*q**3 - 11*q**4 - u*q**2. Factor f(g).
-4*(g + 11)**3
Let r(j) = j**3 - 6*j**2 + 7*j - 15. Let f be r(5). Let x = 35 - f. Factor -x*k**3 + 10*k**4 + 160 - 27*k - 80*k**2 + 5*k**5 + 107*k + 0*k**5.
5*(k - 2)**2*(k + 2)**3
Let k(m) = 56*m**2 + 56*m. Suppose 2*g + 24 = -2*v - 3*g, -5*v - 4*g = 94. Let o(c) = -c**3 + 280*c**2 + 281*c. Let w(a) = v*k(a) + 4*o(a). Factor w(n).
-4*n*(n + 1)*(n + 27)
Let h(r) be the third derivative of -r**7/840 - 53*r**6/120 - 2809*r**5/40 + 107*r**4/24 + 17*r**2 + 1. Let f(o) be the second derivative of h(o). Factor f(n).
-3*(n + 53)**2
Let s = 5482/6435 - -18/143. Let l(t) be the second derivative of 0 - 20*t - 121/90*t**4 - s*t**3 - 4/15*t**2. Factor l(x).
-2*(11*x + 2)**2/15
Let c(v) be the first derivative of -5*v**3/9 - 851*v**2/6 - 170*v/3 + 1742. Determine j so that c(j) = 0.
-170, -1/5
Let a = 108889/12 + -9074. Let y(l) be the first derivative of l**2 - 10 + 5/9*l**3 + a*l**4 + 0*l. Factor y(m).
m*(m + 2)*(m + 3)/3
Suppose 2*v - 1 = -r, -4*v - 7 = 18*r - 19*r. Let x(c) be the first derivative of -29 + 0*c - 27/10*c**2 + 1/5*c**r. Factor x(u).
3*u*(u - 9)/5
Let s = -1162 - -1172. Suppose -g - 2*m = -4, -3*g = -0*g + 4*m - s. Factor 2/3*c**g - 4/3*c + 2/3.
2*(c - 1)**2/3
Let f be 8 - 69/(66/110*15). Solve -f*b**2 + 14/3*b - 13/3 = 0.
1, 13
Suppose 224*p - 4174 + 3726 = 0. Determine k, given that 1/3*k**4 + 2*k - 5/3*k**p + 0 - 2/3*k**3 = 0.
-2, 0, 1, 3
Let m be (-1)/2 + 0 - 15/(-30). What is z
|
{
"pile_set_name": "DM Mathematics"
}
|
(-5)/(20 + -5)). Suppose 30*i = 2*i + w. List the prime factors of i.
2, 7, 11
Let k(x) = x**3 - 5*x**2 + 4*x - 20. Let r be k(5). Suppose 9*z = 10*z - 2, r = 5*a - 5*z - 295. What are the prime factors of a?
61
Let n(l) = -5434*l - 5011. List the prime factors of n(-2).
5857
Suppose 53 = 3*k + 41. Suppose -k = -3*c - 1. What are the prime factors of (1/2)/(c/226)?
113
Let l(s) = 43*s**2 + 103*s + 834. What are the prime factors of l(-9)?
2, 3, 5, 113
Let f = 5062 + 3832. List the prime factors of f.
2, 4447
Let g(i) = 3*i**2 + 4*i. Let m be g(-2). Suppose m*k + 703 = 3339. Suppose -k = -2*u - 129. What are the prime factors of u?
5, 53
Let l(a) = -2*a**2 + 24*a - 18. Let t be l(11). Suppose 2*i - 1292 = -t*h, -5*h + 10*h - i - 1629 = 0. List the prime factors of h.
5, 13
Let b = -2834 + 2751. Let f(u) = -34*u**2 - 2*u + 2. Let z be f(2). Let x = b - z. What are the prime factors of x?
5, 11
Let t = 29 - 18. Let m be (-4)/(-22) - 24/t. Let c(u) = -5*u**3 - 3*u**2 - 3*u - 4. List the prime factors of c(m).
2, 3, 5
List the prime factors of -130 + 7221 + (14 - 1).
2, 3, 37
Let s = -1492 - -646. Let l = s - -1216. What are the prime factors of l?
2, 5, 37
Suppose 0 = 24*p + 108*p - 1070377 - 1232363. List the prime factors of p.
3, 5, 1163
Let f(z) = -10 + 1 + 10. Let m(i) = i - 6. Let d(c) = 5*f(c) - m(c). List the prime factors of d(-8).
19
Let y(i) = -108*i - 19. Let q be y(-3). Let n = q + -193. List the prime factors of n.
2, 7
Suppose 0 = -5*o - 10, 0 = -2*j + 3*o + o + 1048. Suppose x - 82 = -p + 30, 5*p - 3*x - j = 0. What are the prime factors of p?
107
Let g be 153855/105 + (-6)/21. Suppose 0*w = 5*w - g. List the prime factors of w.
293
Suppose b = -5, d - b - 2249 - 963 = 0. List the prime factors of d.
3, 1069
Suppose 3*h + 1895 = -5218. Let w = h - -3434. What are the prime factors of w?
1063
Let s(h) = h**3 - 6*h**2 - 13*h + 48. Let v be s(7). Suppose 1386 = 4*y - 2*o, 5*y + o = v*o + 1720. List the prime factors of y.
349
Let a(l) = l**3 + 4*l**2 - 7*l - 5. Let h be a(-5). Suppose 0 = h*o - 3*i - 7, 3 = 4*o - i - 4. Suppose -o*k - 20 = -180. What are the prime factors of k?
2, 5
Let u be (-6)/(-12) - -4 - (-6)/(-4). Suppose -5*h - 1835 = -k - 4*k, -5*h - 1091 = -u*k. What are the prime factors of k?
2, 3, 31
Let s(y) be the first derivative of y**3 + 6*y**2 - 82*y - 252. What are the prime factors of s(21)?
1493
Let z(w) = -w**3 - 6*w**2 + w + 1. Let b = 71 - 77. Let u be z(b). List the prime factors of (34/u)/(1 + 14/(-10)).
17
What are the prime factors of ((-216)/(-126))/((12/9058)/6)?
2, 3, 647
Suppose 10*q - 240 = -0*q. Suppose 0*j + q = 3*j. List the prime factors of 4/10*(j - 3) + 87.
89
List the prime factors of (-1541260)/(-105) + (-22)/11 + (-8)/(-6).
2, 41, 179
Let l = -22 - -24. Suppose -l*t = -10 + 20, 4*t = 5*a - 1605. What are the prime factors of a?
317
Let o(z) = -z**3 - 4*z**2 + 6*z + 15. Let j = -39 - -33. What are the prime factors of o(j)?
3, 17
Let r(m) = -7275*m**3 - 2*m**2 - 14*m - 12. What are the prime factors of r(-1)?
3, 5, 97
Let a = 37851 + -22775. What are the prime factors of a?
2, 3769
Let a be ((-21)/14)/(3/412). Let h be (100 - 0)*(5 + 1 - 7). Let l = h - a. What are the prime factors of l?
2, 53
Suppose 2*d + 43 = 15. Let w be (-9724)/d + (-16)/28 + 1. Suppose 0 = 4*x - 505 - w. List the prime factors of x.
2, 3, 5
Let q = 6009 - 3781. List the prime factors of q.
2, 557
Let a(f) = 29*f**2 - 12*f + 30. Let q(b) = 4*b**3 - 31*b**2 - 6*b - 11. Let u be q(8). What are the prime factors of a(u)?
5, 139
Let r = 195 + -425. Suppose -15*p = -0*p - 6015. Let h = p + r. What are the prime factors of h?
3, 19
Let v be (20/6)/(6/9). Let w be (4 - (-1 - 0))*(v + -3). Suppose 0*n - w*n + 1960 = 0. What are the prime factors of n?
2, 7
What are the prime factors of 375/(-125) - (3862*-1 - 1)?
2, 5, 193
Let d(w) = 12*w**2 + 7*w - 134. Let j(z) = 3*z**2 + 2*z - 33. Let y(k) = -6*d(k) + 26*j(k). What are the prime factors of y(-9)?
2, 3, 19
Suppose -4*t - 62 = -o, 7*t = 8*t + o + 13. What are the prime factors of 0 + t/(-12) + 40070/40?
17, 59
Suppose -25*w + 11*w + 83538 = 0. What are the prime factors of w?
3, 13, 17
Let z = 42 - 37. Suppose -2*h + 3*h - z = 0, 29 = 3*s + 4*h. Suppose s*l + 41 - 302 = 0. What are the prime factors of l?
3, 29
Suppose -5*z + 2*l + 8846 = 0, 4*z + 3515 - 10603 = -4*l. Suppose -13*d + 7*d + z = 0. List the prime factors of d.
5, 59
Let c = 59005 + 29277. What are the prime factors of c?
2, 37, 1193
Let g = 36604 - 490. What are the prime factors of g?
2, 3, 13, 463
Suppose 40 = 5*p - 0*p. Let i be 0/(-2*4/p). Suppose i = 14*y - 2566 + 620. List the prime factors of y.
139
Suppose 2*k + 13220 = 2*a, a - 388 - 6222 = 3*k. What are the prime factors of a?
2, 5, 6
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from vtyytqqtrltvyy.
2/91
Four letters picked without replacement from qrqrrrrrrqqprqqg. Give prob of picking 2 q, 1 g, and 1 r.
6/91
What is prob of picking 2 p when two letters picked without replacement from hpmrppphphchbpbbmp?
7/51
Two letters picked without replacement from cyhyc. Give prob of picking 2 c.
1/10
Two letters picked without replacement from {e: 1, z: 3, b: 3, v: 3, y: 6}. Give prob of picking 1 e and 1 y.
1/20
Calculate prob of picking 2 j and 1 b when three letters picked without replacement from jjjhjbjrjjrhbjjhhdb.
36/323
What is prob of picking 2 k and 1 l when three letters picked without replacement from {g: 2, l: 4, a: 1, k: 2}?
1/21
What is prob of picking 1 b and 1 h when two letters picked without replacement from {e: 6, b: 2, z: 5, v: 5, u: 1, h: 1}?
1/95
What is prob of picking 4 p when four letters picked without replacement from gpspvpg?
0
Four letters picked without replacement from mpooopoom. What is prob of picking 2 p and 2 m?
1/126
Two letters picked without replacement from {z: 2, w: 2, b: 5, v: 1, l: 1, c: 2}. What is prob of picking 1 v and 1 c?
1/39
What is prob of picking 4 y when four letters picked without replacement from qyqvqvyyqyvyt?
1/143
Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {q: 2, l: 6, e: 7, s: 1, i: 4}.
1/285
Three letters picked without replacement from nnnnnfvvmnfwvmwwwlm. What is prob of picking 1 n, 1 m, and 1 l?
6/323
What is prob of picking 4 s when four letters picked without replacement from {s: 10}?
1
What is prob of picking 1 k, 1 a, and 1 h when three letters picked without replacement from {h: 2, u: 1, k: 1, a: 1, j: 1, o: 1}?
2/35
Two letters picked without replacement from {q: 4, x: 16}. Give prob of picking 1 x and 1 q.
32/95
What is prob of picking 2 c when two letters picked without replacement from kkckck?
1/15
What is prob of picking 4 x when four letters picked without replacement from xxuxbbuxx?
5/126
Four letters picked without replacement from {q: 2, f: 5, w: 3, x: 6, v: 2, p: 1}. Give prob of picking 1 q, 1 f, 1 v, and 1 p.
5/969
Calculate prob of picking 1 f and 2 s when three letters picked without replacement from ssslsfflssssssfsfsfs.
13/38
Three letters picked without replacement from {u: 2, m: 1, b: 2, y: 6, q: 1}. Give prob of picking 1 u, 1 y, and 1 q.
3/55
Four letters picked without replacement from {e: 9, k: 2, x: 5}. What is prob of picking 1 e, 1 k, and 2 x?
9/91
Four letters picked without replacement from ivvjpppiviirpp. What is prob of picking 2 i, 1 r, and 1 j?
6/1001
Three letters picked without replacement from tcmccctctttcqtt. What is prob of picking 3 c?
4/91
Two letters picked without replacement from {z: 1, d: 1, m: 1, s: 1, y: 2, k: 1}. Give prob of picking 1 s and 1 k.
1/21
What is prob of picking 2 a when two letters picked without replacement from ynampac?
1/21
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from {w: 3, n: 13, h: 3}.
78/323
Two letters picked without replacement from {t: 5, c: 2, u: 1, o: 1, i: 1}. Give prob of picking 2 t.
2/9
Calculate prob of picking 2 b and 1 a when three letters picked without replacement from abagabab.
3/14
Calculate prob of picking 2 g, 1 t, and 1 u when four letters picked without replacement from {t: 6, u: 1, h: 3, g: 2}.
2/165
What is prob of picking 2 s when two letters picked without replacement from {s: 2, q: 1}?
1/3
Two letters picked without replacement from {b: 5, z: 3, q: 4}. Give prob of picking 2 z.
1/22
Three letters picked without replacement from vnvisoisjiinij. Give prob of picking 1 v, 1 i, and 1 o.
5/182
Calculate prob of picking 2 d when two letters picked without replacement from ddiddddd.
3/4
Calculate prob of picking 1 e, 1 a, and 1 s when three letters picked without replacement from {i: 1, y: 3, a: 1, s: 4, e: 2, o: 1}.
2/55
Two letters picked without replacement from ryarryyyrryyahhryy. What is prob of picking 2 y?
28/153
Two letters picked without replacement from {d: 1, r: 1, w: 1, v: 4, a: 1}. Give prob of picking 1 v and 1 r.
1/7
Two letters picked without replacement from {p: 2, o: 1}. What is prob of picking 1 p and 1 o?
2/3
Three letters picked without replacement from {a: 2, u: 1, t: 7, y: 2}. What is prob of picking 1 a and 2 y?
1/110
Calculate prob of picking 1 z, 1 q, and 1 r when three letters picked without replacement from {z: 4, f: 1, q: 2, s: 1, r: 5, u: 2}.
8/91
Four letters picked without replacement from {v: 4, d: 3}. What is prob of picking 2 v and 2 d?
18/35
What is prob of picking 4 h when four letters picked without replacement from hvvhhhavaahvv?
1/143
Two letters picked without replacement from aiaaaaai. What is prob of picking 2 a?
15/28
Two letters picked without replacement from kcrmu. What is prob of picking 1 m and 1 c?
1/10
Two letters picked without replacement from uuuuu. Give prob of picking 2 u.
1
Two letters picked without replacement from {w: 1, s: 1, y: 1, u: 2, o: 1, c: 2}. What is prob of picking 1 s and 1 c?
1/14
Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {o: 8, y: 2, w: 2, u: 3}.
2/35
What is prob of picking 1 l and 2 k when three letters picked without replacement from {n: 2, b: 3, k: 8, l: 3}?
3/20
What is prob of picking 2 e and 2 t when four letters picked without replacement from ttttetttte?
2/15
What is prob of picking 1 y and 1 z when two letters picked without replacement from {w: 10, z: 1, q: 1, o: 1, y: 5, f: 2}?
1/38
What is prob of picking 2 i when two letters picked without replacement from {i: 2, z: 8, b: 2, q: 2, w: 3}?
1/136
Three letters picked without replacement from {o: 4, n: 9, y: 4, t: 1, q: 2}. Give prob of picking 2 o and 1 t.
1/190
Four letters picked without replacement from cnncccnvvncvnv. What is prob of picking 3 v and 1 c?
20/1001
Three letters picked without replacement from {a: 1, b: 1, f: 4, k: 1, q: 2}. Give prob of picking 1 b, 1 q, and 1 a.
1/42
Three letters picked without replacement from wwmmmwwwwwwmwwmw. Give prob of picking 2 w and 1 m.
55/112
Four letters picked without replacement from {u: 13, s: 3, x: 3}. What is prob of picking 3 x and 1 s?
1/1292
What is prob of picking 2 i, 1 q, and 1 b when four letters picked without replacement from {j: 8, b: 1, i: 7, q: 1}?
3/340
What is prob of picking 2 h when two letters picked without replacement from zhzzzzhhhhzhz
|
{
"pile_set_name": "DM Mathematics"
}
|
o - 3*k, -q*o + 3*k = 2292. Find the common denominator of -75/2 and 2/(-12)*o/6.
4
Let j = 887/2 - 432. Let o = 0 - 0. What is the common denominator of j and (-43 + o/1)/8?
8
Suppose 3*d = d + 2. Suppose 0 = -3*x - d - 2. What is the common denominator of 103/10 and (x + (-154)/10)/(-4)?
10
Let t be (-6)/27 + 499/2232. Let m = t + -19349/3720. What is the common denominator of -19/9 and m?
45
Let l = -4814 - -2524. Let h be -1 + 1 + -3 + l. Let q = -13625/6 - h. Find the common denominator of q and -15/4.
12
What is the smallest common multiple of 72/21 - 4/(-7) and 6?
12
What is the common denominator of 302/24 + (-1)/3 and 303/36 - (-12)/16?
12
Let a = -13866297479/28 - -495078432. Let i = a - -146397. Let u = 446/7 + i. Find the common denominator of u and -23/8.
8
Find the common denominator of -79/74 and 42/(-616)*(-144)/(-3).
814
Let m = 2714 + -73286/27. Find the common denominator of -5/6 and m.
54
Calculate the smallest common multiple of 6 and 297/15 + 7/35.
60
Let x = -7559 - -37912/5. Let z = 23 - x. Calculate the common denominator of z and -50.
5
Suppose 4*r + 10 = 5*q - 35, 2*q = -5*r + 18. Calculate the lowest common multiple of 10 and q.
90
Let m be 2148/(-99) + 6/27. Let h = m + 268/11. Find the common denominator of -1/5 and h.
45
Let q(s) = -6163*s**2 + 2*s + 1. Let g be q(-1). Let n = g - -36865/6. What is the common denominator of n and ((-2)/15)/(8/(-10))?
6
Let p be 152/56 + (-2)/(-7). Suppose -p*w + 66 = 3*v, v + 3*v = -3*w + 70. What is the smallest common multiple of w and 6?
18
Let a(m) = 19*m**3 - m**2 + 1. Let j be a(1). Let q be 1/((-58)/j + 3). Let y = q - -74/3. What is the common denominator of -73/6 and y?
6
Let b be 34489/(-6) - (0 - -3). Suppose -4*z - 11618 - 11290 = 0. Let r = b - z. Find the common denominator of r and -41/6.
6
Let a = 563 + -1221/2. What is the common denominator of a and ((-166)/6 + 0)/(240/(-90))?
8
Let c = -4139 + 33061/8. What is the common denominator of c and (-492)/140 + 4/(-14)?
40
Let w be 9/(-6) + (-194666)/(-32). Let y = w - 6085. Let t = 270/7 + -3569/84. What is the common denominator of y and t?
48
Suppose 5*h - 311 = -3*p, 5*p - 3*p + 4*h = 204. Let c = p + -1345/12. What is the common denominator of c and -29/4?
12
Let g(o) = -2*o - 18. What is the least common multiple of 16 and g(-11)?
16
Let b be (-2)/6 - 35/(-15). Let u be b - 255358*2/80. Let k = u + 6386. What is the common denominator of k and -67/16?
80
Let x = -97 - -108. Suppose 0 = -4*a + 19 + 1. Suppose 18 = 2*r + 4*c, -r + c = -c - a. Calculate the lowest common multiple of x and r.
77
Suppose m - 7 - 9 = 0. Suppose 3*n + n - m = 0. Calculate the smallest common multiple of n and 8.
8
Suppose 0 = c - 6*c + 4425. Let y = c + -3172. Let t = y - -18259/8. Calculate the common denominator of t and 87/10.
40
Suppose -4*k + 41 = r, -3*k + k - 3*r + 23 = 0. Calculate the smallest common multiple of k and (-96)/8*2/(-4).
30
Let l = 2117/2828 + -476/101. What is the common denominator of l and -25/12?
84
Suppose -2*y - 5 + 0 = -j, y = 4*j + 8. Let r(s) = -5*s. Let g = -83 - -87. Calculate the least common multiple of g and r(y).
20
Let d be (4/1448)/(3/(-2)). Let l = 35287/4344 - d. Find the common denominator of 29/8 and l.
8
Let l = -9341/3520 - 9/320. Let r = 2/1147 - 152587/20646. Find the common denominator of l and r.
198
Let p = 44/15 - 111/10. Find the common denominator of p and 67/12.
12
Let i = -5 - -4. Suppose -4*f - 15 = 13. Calculate the least common multiple of 9 and f*(0/1 + i).
63
Let z = 611/315 + 6/35. Suppose -5*p - 128 = 2*h + 12, 0 = 5*p + h + 135. Calculate the common denominator of z and 3 - ((-38)/p + -2).
117
Let z = 159/13 + -2643/130. Let i(y) = 2*y - 1. Let n be i(2). Find the common denominator of z and (n/6)/(20/(-138)).
20
Suppose 0 = -3*s + 7*s - 200. Let m = s + -28. Calculate the least common multiple of m and 12.
132
Suppose -5*o + 3*o + 2*c = -12, 3*o - 4*c - 20 = 0. Suppose 0 = -o*h - 3*k + 46, -5 = -4*k + 3. What is the lowest common multiple of 7 and h?
70
Suppose -w + 2*l = -1884, -l - 2313 = 3*w - 7937. Let k = w + -15041/8. Calculate the common denominator of -81/2 and k.
8
Let p = -74929/3432 - 1/1144. What is the common denominator of p and 37/4?
12
Let x = -2980 + 35623/12. What is the common denominator of x and -8/3?
12
Let p = 276697/35030 + 4/3503. Calculate the common denominator of 2*-1*112/44 and p.
110
Let d(q) = q**2 - 6*q + 8. What is the lowest common multiple of d(6) and 3?
24
Suppose -4*l = 5*h - 297, -l = 4*h - 231 - 11. What is the least common multiple of 10 and h?
610
Let p = 41 + -21. Suppose p = -0*y + 4*y. Suppose 0 = y*j - 8 - 12. What is the lowest common multiple of j and 2?
4
Let q = 43 - 23. What is the common denominator of (-24)/q*225/(-66) and -11/10?
110
Suppose 0 = -4*l + 29 + 71. Let j = l - 73. Calculate the common denominator of 57/22 and ((-1)/3)/(j/(-873)).
176
Suppose -2*b + 8*b + 60 = 0. Calculate the common denominator of ((-11)/b)/(2/6) and -51/22.
110
Suppose 3*o + 0*m = -4*m - 4, -8 = o + 3*m. Let d(a) = a**2 + 0*a + o + 3*a - 5 + 3. What is the least common multiple of d(-3) and 9?
18
Find the common denominator of 56/9 and 1/((18/142)/(-3)).
9
Let x = 3/488 - 1053/122. Calculate the common denominator of 13/3 and x.
24
Let o = -37 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*y - 23 wrt y.
-36*u*y + 21297498*y
What is the second derivative of -652949*w**5 - 3*w**2 - 120376368*w wrt w?
-13058980*w**3 - 6
Find the third derivative of 23112490*i**4 - 2346*i**2 - 2605 wrt i.
554699760*i
What is the second derivative of -249307643*m**2 + 2*m - 83538221 wrt m?
-498615286
What is the second derivative of -104349506*q**2 + 7923381*q?
-208699012
Find the second derivative of -144*n**2*r**3 + 1972*n**2*r + 1386499*n*r**3 - 63568*n*r wrt r.
-864*n**2*r + 8318994*n*r
What is the second derivative of -14*c**2*g**2*o - 4634933*c**2*g*o + 182*c*g**2*o - 3*c*g*o + 4*o - 8715 wrt c?
-28*g**2*o - 9269866*g*o
Find the third derivative of -13037480*y**4 + 17*y**2 - 2*y + 6432 wrt y.
-312899520*y
What is the third derivative of 34798995*a**3 - 2*a**2 - 59*a - 322?
208793970
What is the first derivative of 584*j**3 + 109602*j**2 - 150107505?
1752*j**2 + 219204*j
Find the third derivative of -785601562*q**4 - 1330*q**2 + 207*q + 153.
-18854437488*q
What is the third derivative of -70*l**6 - 2*l**4 - 151477*l**3 + 3*l**2 + 62*l - 81137?
-8400*l**3 - 48*l - 908862
Find the third derivative of -216700776*g**3 + 1051083402*g**2.
-1300204656
What is the second derivative of 7285252*h**2 - 203*h - 5894 wrt h?
14570504
What is the second derivative of 837940355*t**5 + 241543614*t wrt t?
16758807100*t**3
What is the second derivative of -h**2*q**2*y**2 + 11*h**2*q**2 - 334*h**2*y + 105*h*q**2*y**2 + 31*h*q**2*y - h*q*y**2 - h*y**2 + 3*h - 2*q wrt h?
-2*q**2*y**2 + 22*q**2 - 668*y
Find the third derivative of 40*g**4 - 2846576*g**3 - 78*g**2 - 328*g - 24.
960*g - 17079456
Find the second derivative of -11043104*l**5*v + 8*l - 616543*v wrt l.
-220862080*l**3*v
What is the derivative of c*u**2 - 25409*c*u + 68*c + 9354194*u**2 wrt c?
u**2 - 25409*u + 68
Find the first derivative of -10616411*h**2 + 2586496 wrt h.
-21232822*h
Find the second derivative of -372264825*z**5 - 286868540*z wrt z.
-7445296500*z**3
What is the second derivative of -166251044*x**2 + 172216730*x?
-332502088
Find the third derivative of 13784653*m**4 + 61714507*m**2 wrt m.
330831672*m
Differentiate -3299*c**2*h - 6*c**2*p + 48*c**2*z + 507*h*p*z + 3*h*p - 1144*h + p*z with respect to c.
-6598*c*h - 12*c*p + 96*c*z
What is the second derivative of -48665719*y**2 - 368*y + 10151 wrt y?
-97331438
Find the third derivative of 123490*d**4 - 925*d**3 + 12122754*d**2.
2963760*d - 5550
Find the second derivative of -170112269*v**2 - 499114*v + 1.
-340224538
Find the third derivative of -34489341*s**2*y**3 - 170*s**2*y**2 + 27*s**2*y + 6*s**2 + 16*y**2 + 3*y wrt y.
-206936046*s**2
Differentiate -1054099*r**3 - 22*r**2 + r - 73131200.
-3162297*r**2 - 44*r + 1
What is the second derivative of -1297244190*s**4 + 55213*s + 350?
-15566930280*s**2
Find the third derivative of -9*u**5*z - 84499*u**3*z**2 + 128*u**2*z**2 - u**2*z - 2*u*z**2 + u*z + 6*u wrt u.
-540*u**2*z - 506994*z**2
Find the second derivative of -704455*r**4 + r**3 + 15*r - 628193.
-8453460*r**2 + 6*r
Differentiate -150769*d**2*x*z - 22*d**2*z + 2*d**2 + 19*d*x - 28*d*z + 49*d - 2*z + 47 wrt x.
-150769*d**2*z + 19*d
Find the second derivative of -9726621*h**4 + 2*h**3 + 178180285*h.
-116719452*h**2 + 12*h
Find the third derivative of -410*k**6 + 151396*k**5*y - 2*k**2*y + 37*k**2 - 114513*k*y wrt k.
-49200*k**3 + 9083760*k**2*y
What is the second derivative of -19154037*y**2*z**2 + 692*y*z**2 - 37*y*z - y - 3*z**2 + 1 wrt y?
-38308074*z**2
Find the second derivative of 615*i**2*l**2*w**2 + 5663*i**2*w**3 + 4*i*l**2*w**3 + i*l**2*w - 895*i*l*w**3 - 34*l**2*w - 9*w**2 wrt i.
1230*l**2*w**2 + 11326*w**3
What is the first derivative of -15807337*v - 3268241 wrt v?
-15807337
What is the third derivative of 126*l**5 + 148*l**4 - 19*l**3 - 5058779*l**2 wrt l?
7560*l**2 + 3552*l - 114
Find the second derivative of 9383*n**5*t - 37*n**4*t + 24011427*n*t wrt n.
187660*n**3*t - 444*n**2*t
Differentiate 64998*i*q**2 + 4287957*i + 81*q**3 + 4 wrt q.
129996*i*q + 243*q**2
Find the second derivative of -23340555*h**3 - 2013*h - 16915 wrt h.
-140043330*h
Find the second derivative of -40*b**2*k**2 + 594160*b**2*v**2 - 18*b*k**2*v**2 + 295068*b*k**2 - 39*k**2*v**2 wrt b.
-80*k**2 + 1188320*v**2
Find the third derivative of 6*f**3*m + 3875669*f**3 - 2377*f**2*m - 17221*f**2 wrt f.
36*m + 23254014
Find the second derivative of -9*p**5*u + 19689227*p
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-32)). Let c be (-48293)/(-210)*(-5)/r. Let o = c - -751/8. What is the common denominator of o and -2/15?
90
Let v(c) = 2*c**2 - 7*c - 235. What is the lowest common multiple of v(-25) and 630?
10710
Let q = -37 - -40. Suppose 0 = -2*t + q*t + 80. What is the common denominator of -47/2 and (-188)/(-14)*(-6)/t?
140
Let t = 6696713/54582768 + -1/252698. Find the common denominator of t and -151/192.
1728
Let o = 68 + -65. Suppose l = -o*t + 5, 0 = 2*t - 2 - 0. Calculate the lowest common multiple of 28/(-42)*(l*-1 + -7) and 2.
6
What is the lowest common multiple of (275/(-77))/5 - (-771)/21 and 614?
11052
Let f be (39/(-15) + 3)*30/1. Suppose -f = m - 18. Let a(q) = -q + 2. Calculate the lowest common multiple of a(-5) and m.
42
Let z be 12/(-16) - ((-47)/4 + -1). Suppose s = -4*s + 10. What is the smallest common multiple of ((-76)/z + 4)/((-1)/3) and s?
14
Suppose -27 + 9 = 3*w. Calculate the smallest common multiple of w*(-4 + 1 + 2) and 148/16 + -7 - (-1)/(-4).
6
Let s = 2112/29 + -14092801/193488. Calculate the common denominator of 71/2 and s.
6672
Let u(n) = n**3 + 5*n**2 - n + 4. What is the least common multiple of u(-5) and ((-1)/4)/((-1)/126)*(-55660)/(-19481)?
90
Suppose -391 = -r - 367*g + 368*g, 4*g = -2*r + 776. What is the lowest common multiple of r and 1092?
5460
Calculate the common denominator of ((-7775)/19593)/(8/(-7)) and (5/(-10))/(22/29).
792
Let w(g) = g**2 + g - 15. Let d be w(-6). Suppose 2*b + 2*r - 24 = 0, -d = 4*r - r. Suppose -b*y = -12*y - 10. Calculate the lowest common multiple of 5 and y.
10
Let s(k) = k**3 - 104*k**2 - 209*k + 43. Calculate the lowest common multiple of s(106) and 2527.
2527
Let l = -18843 + 18845. What is the least common multiple of (-2)/(-5) - (-3)/5 and l?
2
Suppose -5*m - 5*o + 515 = -700, 749 = 3*m - o. Calculate the smallest common multiple of m and 232.
7192
Let q = -73 + 599. Suppose 524*x = q*x - 84. Calculate the lowest common multiple of x and 14.
42
Let a = 87 + 337. What is the common denominator of ((-2)/4)/(72/a) and -11/16?
144
Let v = -48855782/1929 + 25327. Let q = 129265/42438 - v. Let b = -310/3 + 463/4. What is the common denominator of b and q?
132
Suppose -5*s = -10, -2*l - 4*s = -0 - 12. Find the common denominator of 71/33 and 8/l - 4/((-108)/57).
99
Suppose -2556 = -4*h + 4*r, 3*r = -h + 523 + 104. Calculate the lowest common multiple of h and 195.
41340
Let f(v) = -2*v + 69. Let m be f(21). Suppose -33 = -4*x + m. What is the lowest common multiple of x and 30?
30
Suppose 2*j - 4*w + 96 = 0, 0 = 4*j + 4*w + 105 + 75. Let v = 52 + j. Calculate the lowest common multiple of v and -15*(4 - 56/12).
30
Let p = 4621 + -6731. Let f = 42227/20 + p. Let z = 185021/18 - 10283. Calculate the common denominator of z and f.
180
Let m = 1 + -1. Suppose m = -3*s - 5*s + 488. Suppose 99 = 5*v - s. Calculate the least common multiple of 8 and v.
32
Let z = -9937/900 - -229/20. Calculate the common denominator of z and 143/2850.
8550
Suppose -2*c + o = 3*c + 329, 0 = o + 1. Let n = 1119 - 811. Find the common denominator of -89/24 and (-758)/c - (-7)/(n/8).
24
Calculate the smallest common multiple of 2772 and (-926)/(-1) - (19 - 85/5).
2772
Let i(o) = o - 17. Suppose 0 = -2*q + 3*q - 3. Let a be i(q). Calculate the common denominator of 61/4 and ((-17)/(-6) + -3)/(a/(-102)).
28
Let f(k) be the second derivative of -k**4/12 - 2*k**3 + 5*k**2/2 + k. Let p be -5 - (5 - (-8 - -6)). What is the lowest common multiple of 10 and f(p)?
10
Suppose u + 674 = 2*x, x + 1765 - 397 = -2*u. Let l = 913 + u. Calculate the lowest common multiple of 84 and l.
924
Calculate the common denominator of (-328)/20*30/180 and 47/4.
60
Suppose -49*v + 50*v = 44. Calculate the least common multiple of 345/9 + -3 + v/12 and 8.
312
Let o(q) = -4*q**3 + 3*q**2 - 11*q - 42. Calculate the smallest common multiple of 259 and o(-3).
4662
Let b = 27627 + -27617. Calculate the lowest common multiple of 404 and b.
2020
Suppose -5*h + 69 = -11. Let i = 24980 - 24958. What is the smallest common multiple of i and h?
176
Let i(x) = -x**3 + 17*x**2 + 16*x + 40. Let c be i(18). Suppose c*z = -0*z + 172. Calculate the lowest common multiple of 1/2*z - (-21)/(-42) and 24.
168
Let q(p) = p**2 - 11*p + 25. Let n be q(8). Suppose -4*x + 50 = 5*o, 5*x - 32 = -4*o - n. What is the lowest common multiple of 82 and o?
574
Suppose -8964 = -70*t + 78396. What is the smallest common multiple of t and 3?
1248
Suppose k + 5*g + 6 - 104 = 0, 0 = 2*k - 3*g - 170. Calculate the lowest common multiple of -1 + 4 + 1 + 8360/k and 75.
2475
Suppose 36*l = 15 + 849. Calculate the lowest common multiple of l and 68.
408
Let l = 73139863/14829360 + 4736/6305. Let u = -5090629/147 + 34630. Let w = u - l. Calculate the common denominator of -23/16 and w.
16
Let b = 43107 - 18827. Let z = 436897/18 - b. Calculate the common denominator of -33/4 and z.
36
Find the common denominator of 77/846 and ((-6006)/396)/(6/(-4)) + -5.
846
Let s(v) = 153*v**2 - 6*v - 12. What is the least common multiple of 8 and s(-2)?
1224
Suppose 112*y = 100*y + 14904. Calculate the common denominator of y/162*(-3)/166 and 2/(-3)*174/80.
1660
Suppose 0 = -3*s + 1337 + 217. What is the least common multiple of 7 and s?
518
Find the common denominator of 16/1083 and 2/(-57)*(-4 - 912/32).
1083
Let w = -4185707/66 + 63421. What is the common denominator of 83/5580 and w?
61380
Suppose 41*h - 15081 - 14619 = -58*h. What is the lowest common multiple of 420 and h?
2100
Let p = -
|
{
"pile_set_name": "DM Mathematics"
}
|
ding order.
g, 2, 4
Let d(b) = 2*b**2 + 28*b + 4. Let t be d(-14). Put t, 1, 0 in ascending order.
0, 1, t
Let g be (42/(-60) - -1)*5/6. Sort g, -0.1, 0.5.
-0.1, g, 0.5
Let p be (1 - -1 - 2) + 4. Suppose -p*h = 2*a - 8, h + 1 = 2*a + 3. Put 3, h, -1 in ascending order.
-1, h, 3
Let o = -24 + 22.9. Let v = -0.6 - o. Sort -4, -1, v in ascending order.
-4, -1, v
Let f = 1.4 + -1.5. Let s = 53 + -157/3. Let w = -0.1 - -0.3. Sort w, s, f in ascending order.
f, w, s
Let x = 2 + -4. Sort -4, -14, x in descending order.
x, -4, -14
Let f = 6 + -3. Put 4, f, 2 in descending order.
4, f, 2
Suppose -2*u = 2*u - 208. Let r be u/14 + (-6)/(-21). Suppose -r*y - 5 - 11 = 0. Put y, 1, 4 in descending order.
4, 1, y
Suppose -4*m + 2 - 6 = 0. Let h be m/3*(-6)/20. Sort 0.3, h, 3/5 in decreasing order.
3/5, 0.3, h
Let v = 22 - 31. Let s = v - -8.7. Sort -4, -0.1, s in decreasing order.
-0.1, s, -4
Suppose 0*k + 4*k - 4*j - 28 = 0, 5*k - 26 = 2*j. Put k, 2, 1 in decreasing order.
k, 2, 1
Let d = 5 - 15. Let x = d + 14. Let z = 8 + -8.3. Put -3, z, x in descending order.
x, z, -3
Let j = -0.45 - -4.35. Let r = -4 + j. Let p = -0.05 + 2.05. Sort r, p, 1/5.
r, 1/5, p
Suppose -6*b - 58 - 26 = 0. Let n = -16 - b. Sort -3, n, -1 in descending order.
-1, n, -3
Let j = -1 + 6. Let c = 0.03 - -0.05. Let p = c + 0.32. Put p, -4, j in decreasing order.
j, p, -4
Let c(w) = -w**2 - 7*w - 20. Let z be c(-6). Put z, 2, 4, -4 in ascending order.
z, -4, 2, 4
Let z = -48 + 47. Sort -4, -4/3, z.
-4, -4/3, z
Let c = 3 + -1. Suppose -w - 3*w + 20 = 0. Let z(r) = -r - 10. Let g be z(-7). Put g, c, w in increasing order.
g, c, w
Suppose 0*p + 3*p + 6 = 0. Let l = 0.072 - -22.628. Let f = -23 + l. Put 0.4, p, f in decreasing order.
0.4, f, p
Suppose 3*c = -3*k - 21, c - 5 = -4*c + 3*k. Put -3, c, 3 in decreasing order.
3, c, -3
Let i be (-9)/1 + 1 + -1. Let w = -13 - i. Suppose -29 = -5*s - 14. Sort s, -1, w.
w, -1, s
Let p be 2/9 + 40/63. Sort -2/11, 5, p in descending order.
5, p, -2/11
Suppose -2*l + 5*l + 12 = 0. Let g = 9 + 1. Suppose 2*u = -2*b + 12, g - 37 = -5*u - 4*b. Put 0, u, l in descending order.
u, 0, l
Let z = 1.5 - 1.2. Sort -3, 1/4, z in decreasing order.
z, 1/4, -3
Let b(c) = c - 2. Let x be b(5). Suppose -2 = x*w - 8. Put w, 4, -2 in increasing order.
-2, w, 4
Let i(f) = f**2 + 6*f + 3. Let y be i(-6). Put y, 2, 6, -5 in increasing order.
-5, 2, y, 6
Let v(i) = i + 8. Let s be v(-5). Sort -5, s, 13.
-5, s, 13
Let a = 3.99 + 1.01. Put 0.2, a, 6/23 in descending order.
a, 6/23, 0.2
Let t = -4 - -4.05. Let o = -6.95 - t. Let g = o - -4. Put 1/8, 1, g in increasing order.
g, 1/8, 1
Let g = -1 + 0.5. Let w = g + -0.5. Let n = -27/7 - -263/70. Put n, -2, w in descending order.
n, w, -2
Let p = 0 - 1. Let o be -3*1/(-3)*(-30)/(-6). Put p, 2, o in ascending order.
p, 2, o
Suppose 3*i - 8 = 4. Suppose -i = 3*j - 1. Sort j, 4, -4.
-4, j, 4
Let r be (-34)/(-8) + 7/(-28). Suppose b - 5*p = 4*b - 19, 2*b + 2 = 4*p. Let v(t) = 3*t - 4. Let y be v(b). Sort r, -1, y in decreasing order.
y, r, -1
Let f(s) = -s**3 + s**2 + 9. Let h be f(0). Let w be 6/(3/(h/6)). Put 5, w, -5 in increasing order.
-5, w, 5
Let y = 6.984 - -0.016. Sort y, 0.3, 4.
0.3, 4, y
Let l(y) = -y**3 + 3*y**2 - 2. Let u be l(2). Suppose 15 = -3*v - 2*v, 5*b + 2*v = -11. Sort u, b, 3 in descending order.
3, u, b
Let a = -0.22 + 0.22. Sort 0.4, -5/3, a in decreasing order.
0.4, a, -5/3
Let k be 2 + -3 + (3 - 2). Put -3, 3, k in decreasing order.
3, k, -3
Let h = -53/4 + 25/2. Put 1, h, 2/83 in increasing order.
h, 2/83, 1
Let i = 53 - 57. Sort 2, 2/7, i, 5/4.
i, 2/7, 5/4, 2
Let w = 1.94 + 0.06. Let g = 2.1 - w. Let n = 0 + g. Sort n, 3, -2/3 in descending order.
3, n, -2/3
Let d = 21 + -22. Sort 4, d, -2.
-2, d, 4
Suppose 5*n - 2*n - 14 = -u, -3*n = -15. Let c = -3.5 + 0.5. Sort 0, u, c in decreasing order.
0, u, c
Suppose 3*j = 20 - 5. Let n be (-1)/((j/(-2))/(-5)). Put n, -5, 0 in decreasing order.
0, n, -5
Let d be (0 + 3/1)/1. Sort d, -1, -3.
-3, -1, d
Let b = 6 - 13. Let u = b - -6.7. Let y be 3 - ((-16)/5)/(-1). Sort u, -0.1, y in decreasing order.
-0.1, y, u
Let a(p) = -p**3 + 9*p**2 - 4. Let f be a(9). Sort -3,
|
{
"pile_set_name": "DM Mathematics"
}
|
*f + 30 for z.
3
Suppose -2*w - 12*h = -10*h, 5*w - 2*h = 14. Solve 0 = -11*s + 12*s + 3*d + 1, -2*d - w = 2*s for s.
-1
Suppose 147*t + 3*i - 22 = 142*t, 0 = -3*t + 5*i - 14. Solve 5*j = t*f - 1, 3*f - f = -2*j - 6 for j.
-1
Let f(x) = x**3 + 17*x**2 - 3*x - 49. Let h be f(-17). Let r(c) = c**2 + 3*c - 14. Let l be r(3). Solve 0 = -d + l*b + 22, 5*d = -b + 3 + h for d.
2
Let d(p) = -p**2 + 21*p - 66. Let w(t) = t**3 + 8*t**2 + 9*t - 1. Let u be w(-6). Let r be d(u). Solve -3*z - 18 = r*z + 3*n, -z = -4*n - 1 for z.
-3
Let z = 541 - 534. Suppose 4*j = -0*j + 28. Suppose a = m - j, 4*m + 2 = -a - a. Solve m*u = 4*x + 4*u - 22, -x - u = -z for x.
4
Suppose -2*b + 25 = -3*u, 2*b - 8*u = -11*u - 5. Suppose 0 = -2*z - 3*k + 7, 5*z + 1 = -4*k + 15. Solve q + 3 + 1 = 3*h, 3*h - z*q = b for h.
1
Suppose -15*l + 1 + 104 = 0. Let n be 2*((-6)/(-4) + l/14). Solve -3*j - n*c = j + 16, -4*j + 5*c = -20 for j.
0
Let l be 6/4*1748/138. Suppose -2*o = -2*d - o + 17, 2*d = -o + l. Solve 0 = 2*h - 8, -23 + d = -2*r - 4*h for r.
-1
Let z = -30731 + 30736. Let w = 4 + -2. Solve 16 = 4*b, -z*b + 2 = -w*g - 16 for g.
1
Let s = 39 - 22. Suppose 5*i - 27 = -s. Suppose -5*g + 25 = -8*q + 3*q, -2*q + 32 = 5*g. Solve 0 = -i*p + 3*p - 2*j - g, -5*j = -2*p + 14 for p.
2
Let z = -57 + 57. Let q be 8/8 - (z + -1). Suppose -s + 5*d - 20 = 0, -q*d + 35 = 5*s - 0*d. Solve s*n - 19 = 4*r, -4*r - 2 = 2 for n.
3
Suppose 42 = 2*r + 4*k + 14, -5*k = 10. Let d(n) = -n**3 + 18*n**2 + 5*n - 72. Let j be d(r). Solve 3 = -4*o - v - 19, j = -2*o - 4*v for o.
-5
Suppose 112 + 77 = 83*c - 60. Solve -3*m + 4*o + 1 + 9 = 0, -3*o + 3 = c*m for m.
2
Suppose 109 + 493 = 2*s. Suppose s*k = 296*k + 55. Suppose 5*b = 27 - 17. Solve -2*i = b*h + 3 - k, 3*i - 12 = h for h.
0
Suppose 6*k - 11*k = -10. Let a = -1054 - -1057. Solve 3*p = 7*p + k*s - 18, 2*p - 15 = -a*s for p.
3
Let v(w) = 28*w + 201. Let s be v(-12). Let r be 18/s - (34/(-30) + -2). Solve 3*x + r = q - 5*q, 5*q - 20 = x for x.
-5
Let h = -6807 + 6807. Solve -5 = -5*a, h = -s + 9*a - 11*a + 5 for s.
3
Suppose 2*d - 5*z = 18, 0 = 5*d + 4*z - 333 + 321. Solve -5*u = 2*t + 8, -6*t - 20 = d*u - t for u.
0
Suppose 0 = 17*k - 5*k + 96. Let p be (-3 - (-25)/10)*6 - k. Solve p*x - 4*m = 3*x, 0 = -3*x - m + 14 for x.
4
Let i(q) = q**3 - 125*q**2 - 100*q - 3274. Let p be i(126). Solve -3 = m - x, -m - p*x + 5*x + 3 = 0 for m.
-6
Suppose 7*t = 9*t - 8. Suppose -1 = l, 3*q + t*l = -q + 48. Suppose q*b - 9*b = 16. Solve 5*k + 2*d - 9 = -d, 2*d = -b*k + 6 for k.
0
Suppose -4*n - 2*l - 12 = -34, -4*n - 3*l = -27. Let q be (n*2/4)/((-2)/(-4)). Solve -4*d - 3*z - 8 = 0, -3*z + 35 = -q*d + 2*z for d.
-5
Let r be -5 + ((-1)/(-2))/((-3)/6). Let j be (2 - -2)/(8 + r). Let v be (j - -2)*(-3)/(-6). Solve -c - 3*u = v*u - 10, -2*c = -2*u - 8 for c.
5
Suppose -5*m + 4*m + 3 = 0. Suppose -4*b + 2*t = -26, 2*t + 5 = b + m*t. Suppose 6 = b*o - 6. Solve 1 = j + 3*d, 7*d - 4*d = o*j + 7 for j.
-2
Let z be 246/7 - (6 - 287/49). Suppose z = 4*t - d, -5*t - 15 = -3*d - 64. Solve 3*h - 2*k = -h - t, h + 5*k - 9 = 0 for h.
-1
Suppose -239 = -6*x - 221. Solve -3*p - 6 = -x*y, y - 3*p - 14 = 6*y for y.
-1
Suppose 41*r = 44*r - 15. Let v be (r/(-10))/((-1)/8). Let n(m) = -m**2 + 7*m + 80. Let x be n(-6). Solve v*h + f + 8 = 4, -x*h = f + 2 for h.
-1
Suppose -2*n + 4*l - 38 = 0, -l - 2*l = -5*n - 102. Let c = 20 - 38. Let j = c - n. Solve -2*m - 3 = j*f, -5*f + 2*m = -0*m + 21 for f.
-3
Let x(y) = y**2 - 4*y. Let w be x(4). Let v be (-32)/24 - 13/(-3). Suppose f - 8 = -2*g, -4*f + 10 = -v*f + g. Solve w = 2*o, -f = 4*l - 0*o + 3*o for l.
-3
Suppose -3*c - 5*m = 6, 2*c = 6*c + 5*m + 3. Suppose 5*p - 14 = r, -c*p - p - 4 = 3*r. Solve p*l = 4*l - 4*q - 12, -20 = 2*l + 4*q for l.
-2
Suppose -8*v - 25*v - 15906 = 0. Let z = v + 484. Solve -2*k - 14 = -a, 0*a = 4*a + z*k - 6 for a.
4
Let l(x) = 21*x + 721.
|
{
"pile_set_name": "DM Mathematics"
}
|
o**2/13 + 1003996*o/13 - 2008096 = 0. What is o?
-502024, 26
Factor 95*o**2 - 743815*o - 274050.
5*(o - 7830)*(19*o + 7)
Suppose q**4/2 - 314233*q**3/2 + 24679780271*q**2/2 + 913570790605*q/2 + 444445348050 = 0. What is q?
-36, -1, 157135
Factor s**2 - 17130892*s + 17130891.
(s - 17130891)*(s - 1)
Factor r**4/6 - 3217*r**3/6 + 1039095*r**2/2 - 163098441*r/2 - 69378841791.
(r - 1161)**3*(r + 266)/6
Let -c**4/6 - 121*c**3 - 15541*c**2/6 - 6206*c + 26752/3 = 0. Calculate c.
-704, -19, -4, 1
Factor -s**3/6 + 14662*s**2/3 + 5459165*s/6.
-s*(s - 29509)*(s + 185)/6
Factor x**3/3 + 1501*x**2/3 + 246596*x/3 - 1800064/3.
(x - 7)*(x + 196)*(x + 1312)/3
Factor 2*c**3 + 16*c**2 - 15872*c + 425984.
2*(c - 64)*(c - 32)*(c + 104)
Suppose -3*t**5/4 - 91805*t**4/4 - 61193*t**3/4 + 275421*t**2/4 + 91804*t + 30601 = 0. What is t?
-30601, -1, -2/3, 2
Find l, given that -4*l**2 - 568926968*l - 20229868432354564 = 0.
-71115871
Find s such that 12*s**4 - 1220444*s**3 + 8135876*s**2 - 11796804*s - 4881456 = 0.
-1/3, 3, 4, 101697
Determine f, given that 10*f**2/13 + 56092054*f/13 + 22436820/13 = 0.
-5609205, -2/5
Suppose 3*g**3 + 46509*g**2 + 8938065*g + 432127143 = 0. What is g?
-15309, -97
Let 4*o**3/3 - 1516*o**2 + 1022984*o/3 + 688064 = 0. What is o?
-2, 312, 827
Suppose 4*v**4/3 - 294244520*v**3/3 + 5411239846876900*v**2/3 = 0. Calculate v.
0, 36780565
Suppose -c**3 - 1882*c**2 - 1066956*c - 160812792 = 0. Calculate c.
-822, -238
Determine i so that -2*i**2/3 - 234473842*i/3 - 234473840/3 = 0.
-117236920, -1
Factor -2*s**4/5 + 36754*s**3/5 + 330948*s**2/5.
-2*s**2*(s - 18386)*(s + 9)/5
Let u**5/6 - 115*u**4/3 + 780*u**3 - 10880*u**2/3 + 13312*u/3 = 0. Calculate u.
0, 2, 4, 16, 208
Factor -11*w**3/2 + 5007967*w**2/2 - 10015901*w/2 + 5007945/2.
-(w - 1)**2*(11*w - 5007945)/2
Solve -d**3/6 - 400*d**2/3 - 4584*d = 0 for d.
-764, -36, 0
Solve -4*i**5 + 472966*i**4 - 13980934054*i**3 - 6993659586*i**2 + 90879027570*i - 41943511692 = 0.
-3, 1/2, 2, 59121
Factor -5*k**4 - 2760*k**3 + 25175*k**2 - 39270*k.
-5*k*(k - 7)*(k - 2)*(k + 561)
Find o, given that -4*o**4 - 14522568*o**3 - 522808992*o**2 - 6273694080*o - 25094748672 = 0.
-3630606, -12
Suppose -w**4/8 - 8729*w**3/8 - 2400329*w**2/8 - 16462075*w/8 - 11696325/4 = 0. What is w?
-8445, -277, -5, -2
What is w in -w**3/5 + 4994*w**2/5 - 1964473*w/5 - 1989468 = 0?
-5, 436, 4563
Determine h so that h**3/2 - 199447*h**2/2 - 5585692*h - 78205176 = 0.
-28, 199503
Find x, given that 5*x**4 - 2325*x**3 - 89480*x**2 + 990000*x = 0.
-44, 0, 9, 500
What is n in -n**4/4 - 3271*n**3 - 195963*n**2/4 + 235223*n - 248311 = 0?
-13069, -19, 2
Find z, given that -4*z**4/5 - 51*z**3/5 + 161245*z**2 + 604707*z/5 - 40313 = 0.
-455, -1, 1/4, 443
Suppose -71*u**3 + 8139*u**2 + 3035*u - 5175 = 0. Calculate u.
-1, 45/71, 115
Find a such that -a**5/6 - 104*a**4/3 - 5837*a**3/6 + 129305*a**2/3 + 1376400*a - 4488000 = 0.
-165, -40, 3, 34
Solve 5*x**4 - 10095*x**3 + 10020*x**2 + 141380*x - 242160 = 0.
-4, 2, 3, 2018
Factor -5*j**3 + 162515*j**2 - 1949640*j + 5848380.
-5*(j - 32491)*(j - 6)**2
Determine j so that 25*j**3 - 48915*j**2 - 20006770*j - 7994880 = 0.
-347, -2/5, 2304
Factor -5*u**2 + 973035*u + 9730850.
-5*(u - 194617)*(u + 10)
Factor 2*b**3/3 - 62590*b**2/3 + 1249400*b.
2*b*(b - 31235)*(b - 60)/3
Find a such that 3*a**4/4 - 220863*a**3/2 - 2761149*a**2 - 31589025*a/2 + 74664369/4 = 0.
-13, 1, 147267
Let -3*f**2/7 - 56901*f/7 + 42891354/7 = 0. Calculate f.
-19693, 726
Solve -5*r**2/2 - 1115*r/2 + 2562275 = 0 for r.
-1130, 907
Find h such that -3264*h**2 + 68330*h - 123604 = 0.
2, 30901/1632
Let -4*y**5 + 5992*y**4 - 2182880*y**3 - 46092472*y**2 + 2182884*y + 46086480 = 0. What is y?
-20, -1, 1, 759
Determine x so that 3*x**4/4 - 7007*x**3/4 - 793852*x**2 + 1326783*x - 531180 = 0.
-390, 2/3, 1, 2724
Factor -3*i**3 - 111*i**2 + 1602*i + 66960.
-3*(i - 24)*(i + 30)*(i + 31)
Let 2*u**3 + 2200*u**2 + 86994*u
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when 69 is divided by l.
19
Suppose -9*x = -15*x + 420. What is the remainder when x is divided by 16?
6
Suppose 17 = 2*c - 3*m, -2*m + 3*m - 21 = -2*c. Suppose 3*w + w = 3*p + 193, 5*p - 5 = 0. What is the remainder when w is divided by c?
9
Let w = 45 - 25. Let c(k) = -2*k**3 + 11*k**2 - 8*k + 21. Let b be c(11). What is the remainder when b/(-24) + (-3)/12 is divided by w?
18
Suppose 2*v + 2 = 34. Suppose 0*t - 2*t = -3*z + 12, 1 = -z - t. Suppose 4*j = 3*j - z*q + 19, -3*j + 12 = -3*q. What is the remainder when v is divided by j?
7
Suppose -2*i = 3*f + f - 18, 5*i - 52 = -3*f. Calculate the remainder when 48 is divided by i.
4
Let i(w) = 9*w - 34. Suppose b - 36 = -5*y, -y + 5*b = 4 - 6. Calculate the remainder when 56 is divided by i(y).
27
Suppose 13 = 5*m - 2*a, 2*a + 8 = 4*m - 2*a. Let l = 12 - m. Calculate the remainder when l is divided by 12/(-4) - (0 - 8).
4
Suppose 2 = -4*o + 38. Suppose 2*j + o = 5*j. What is the remainder when 3 is divided by j?
0
Suppose 11*u - 441 - 142 = 0. What is the remainder when 98 is divided by u?
45
Suppose -12 = -2*s + 18. Suppose -60*q + 64*q - 173 = 5*n, -2*q + 86 = -2*n. Calculate the remainder when q is divided by s.
12
Let d(c) = 3*c - 4. Suppose -q - 3*r = -25, 3*q + 3 = 4*r + 13. What is the remainder when 154 is divided by d(q)?
24
Suppose x - 8 = -r, 0*r - 2*r - 4*x + 24 = 0. Suppose -5 = -5*l, -r*s + s = -l - 104. What is the remainder when 68 is divided by s?
33
Let w(r) = r**3 + r**2 + r. Let z(s) = -6*s**3 - 5*s**2 - 8*s - 14. Let a(l) = -5*w(l) - z(l). Calculate the remainder when a(0) is divided by 8.
6
Let t = 43 - 39. Let m be -8 + 5 + (-1 - -10). Let g = 5 + m. Calculate the remainder when g is divided by t.
3
Suppose 4*v - 5*i = -42, 7 = -v - 0*v + 3*i. Let g(l) = 4*l + l**2 - 11 + 0*l + 5*l. Calculate the remainder when g(v) is divided by 14.
13
Suppose 5*y - 3*k - 149 = 0, -7 = k - 4. Calculate the remainder when 37 is divided by y.
9
Let v(m) = 2*m**3 + 72*m**2 - 2*m + 1. Calculate the remainder when 296 is divided by v(-36).
4
Let u(q) = -2*q**3 - 6*q**2 + 7*q + 9. What is the remainder when 887 is divided by u(-5)?
73
Suppose 0 = -3*q + 104 + 13. Calculate the remainder when q is divided by (-1)/2 - (5 + (-39)/2).
11
Let v = 32 - 32. Suppose v = 2*x - 6*x + 84. What is the remainder when 103 is divided by x?
19
Let x = -86 + 124. Suppose 6 = -t - 4*w, -4*w - w = -5*t + 70. What is the remainder when x is divided by t?
8
Suppose 234 = 3*r + 4*w, 0*w = 2*r + 2*w - 154. What is the remainder when 11 is divided by (-3)/(-30)*r + 8/(-20)?
4
Let t(y) = -y**3 + 6*y**2 - 4*y + 11. Let r = 29 - 29. Suppose 4*a - 18 = -r*a - k, 0 = -2*a + 3*k + 16. What is the remainder when 45 is divided by t(a)?
13
Let o = 82 + -75. Suppose 5*j = 35 + 25. What is the remainder when j is divided by o?
5
Let f(z) = -11*z - 8. Let c(v) = 32*v + 23. Let m(b) = 3*c(b) + 8*f(b). Calculate the remainder when m(2) is divided by 8.
5
Suppose -4*m - 5*g = m + 355, 0 = 2*m - 2*g + 150. Let r = m - -119. Suppose -r = -3*w + 8. What is the remainder when w is divided by 11?
7
Let c = -16 + 14. Calculate the remainder when 21 is divided by 152/16 + 3/c.
5
Suppose -9*z = 7*z - 320. What is the remainder when 74 is divided by z?
14
Let j(v) = -v**2 - 9*v - 11. Let i be j(-7). Suppose -i*k + 2*k - 5*h + 65 = 0, -4*k + 212 = -4*h. Calculate the remainder when k is divided by 15.
10
Let a = 3 + 11. Suppose -2*h - i + 99 = 0, -4*h + 2*h + 90 = 4*i. What is the remainder when h is divided by a?
9
What is the remainder when ((-1057)/14)/((-1)/2) is divided by 75?
1
Suppose 8 = -2*x, -x + 20 = 4*h - 4*x. What is the remainder when 132 is divided by h/10 + 418/10 - -3?
42
Let b = -685 - -847. What is the remainder when b is divided by 43?
33
Let a be (-2)/(4 - 2) + 10. Suppose 0*o + 24 = 4*o. What is the remainder when (-2*3)/(a/(-12)) is divided by o?
2
Let o(q) = -18 + 38 - 6 + 2*q - 3*q. Suppose -u = -0*u. Calculate the remainder when 39 is divided by o(u).
11
Let x = 16 + -4. What is the remainder when 93 is divided by x?
9
Let d = 2076 - 1952. Calculate the remainder when d is divided by 42.
40
Suppose -2*a = -5*w - 63, w + 0*w - 52 = -3*a. Let o = a - 8. What is the remainder when 21 is divided by o?
10
Suppose 0 = -2*i - 3*u + 113, 8*i - 5*i - 3*u - 177 = 0. What is the remainder when i is divided by 34?
24
Let n(v) = 5*v**2 - v**3 + 10*v + v**2 + 0*v**3 + 2. Calculate the remainder when n(7) is divided by 13.
10
Let v be 4 + -12 - (1 - 5). Let s(q) = -4*q - 7. Calculate the remainder when 43 is divided by s(v).
7
Suppose -5*r - 5*j + 75 = 0, 0 = 4*r - 6*r - 5*j + 33. Calculate the remainder when 67 is divided by r.
11
Suppose 2*m - 7 = -1. Suppose 3*r - 2*l + 42 = -11, r + 3*l + 3 = 0. What is the remainder when m/(-9) + (-740)/r is divided by 17?
15
Let b be (1 - 2)/((-1)/(-36)). Suppose w + 55 = 6*w + 5*p, 4*w - p = 54. Let c = w - b. Calculate the remainder when c is divided by 13.
10
Suppose 2*o - 565 = r, 5*o = -r - 4*r + 1450. Suppose l + 3*b - 11 = 12, -2*b + 8 = 0. Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 18, s + i = -3. Suppose 0 = 2*j + a - 4*a - 12, s*j + 4*a + 2 = 0. Solve 0 = -j*r, -5*x + 3*r + 25 = -r for x.
5
Let i(p) be the second derivative of -p**5/20 + p**4/3 - p**3/6 - 3*p**2/2 + 2*p. Let n = 18 - 15. Let y be i(n). Solve y*r + 2*b = -18, -r = r + b + 11 for r.
-4
Let j be 20/7 - (-78)/(-91). Solve j*l + l = 4*h - 4, 3*l = -h + 1 for l.
0
Suppose 2*z = -2*z + 16. Let x(q) = -176*q + 1267. Let w be x(7). Solve -2*i = -i + 3*v + 20, -w = z*i + 3*v for i.
-5
Let w = 2 + -5. Let x be w - (-2 + 0) - -21. Suppose -3*f + x = 2*f. Solve t - 11 = -4*t - 4*o, -f*t + 12 = 4*o for t.
-1
Suppose 8 = -10*l + 6*l. Let y be 3/(-1*(1 + l)). Solve 3*n + 11 = -d + y*d, -n + 7 = 2*d for d.
4
Let d(p) = -p**2 + 19*p + 3. Let i be d(19). Solve -4*f - 16 = 5*w + 3, -7 = i*w - 2*f for w.
-3
Suppose -4 = -j - 24*g + 26*g, 2*g = 0. Solve -4*l + 8 = l - 2*b, j*b + 6 = 5*l for l.
2
Let d(y) = -y + 7. Let a be d(2). Suppose 2*n + 28 = a*l + 1, 3*n = 5*l - 28. Solve 0*f = -2*h + f + 1, -2*h - f = l for h.
-1
Let h be 41/((-164)/8)*(-1 + 0). Solve 7*l - 6*l = -h*n - 10, 4*n + 6 = 5*l for l.
-2
Let t = -772 + 792. Solve 0*b - t = -3*z - 5*b, -4*z - 5*b = -20 for z.
0
Suppose -44*y + 27*y = -170. Solve -p + y = 6*n - 2*n, 5*n - 23 = 4*p for p.
-2
Let f(i) = 3*i**2 + 5*i**2 + 7*i**2 - 16*i**2 - 4*i - 1. Let g be f(-3). Solve 3*o - g*o + 21 = 4*a, 0 = 2*a - 4*o - 14 for a.
5
Suppose 4*r = 2*z + 12, -9*z + 26 = 4*r - 4*z. Solve 8 = -r*g, 5*c - 2*g + 21 = -0*c for c.
-5
Let o be 8/(-2) + (-51)/1. Let a be (-10)/o + (-40)/(-22). Let z be (1 - -6) + -3 + -2. Solve -5*m + 5*x + 30 = 0, -a*m + z*x = 4*x for m.
3
Suppose 32*i - 4*i = 84. Solve 2*z - 6 = b, 5*z = -0*z - 2*b - i for z.
1
Suppose -19*k + 46 = 4*k. Solve 2*q + i = 3, k*i + 1 = q + 3*i for q.
2
Let o be (-1)/((15/(-126))/5). Suppose 2*i = -i + o. Suppose -a + 27 = 5*m, 4*m + a + a = 24. Solve 5*c - 5*r = -1 - i, 2*r - m = c for c.
-1
Let s = 544 + -542. Solve 0 = 2*i + s*m - 8, 8 + 4 = 2*i + 4*m for i.
2
Let i(l) = 3*l**2 + 2. Let g be i(0). Solve g*r + 5*d + 3 = -r, 0 = -5*d for r.
-1
Suppose 2*x - 6 = -o, 49 = 2*o + 2*o + 3*x. Solve -4*i - 19 = -3*j + o, -2*i = -4*j + 30 for i.
-5
Let i be 11 - 5 - (-6 - -7). Solve 9*z + i*q = 4*z + 5, 0 = -z - 3*q - 1 for z.
2
Suppose -9*m - 16 = 20. Let b be ((-6)/(-8))/(11/m + 3). Solve -5*w - 10 = b*v - 39, 4*w - 25 = -3*v for v.
3
Let d(i) = 4*i**3 + i - 2. Let f be d(1). Suppose f*l = a + 12, 0*a - 2*l + 22 = 4*a. Solve j - 2*r + 14 = a*j, 4*r = 20 for j.
2
Suppose 1272*f - 1273*f = -2. Solve -2*x = 3*x + 4*r - 15, 0 = f*x + 2*r - 6 for x.
3
Let q = -65 + 102. Suppose -60 = q*y - 43*y. Solve -2*c = y, 0*r + r = -5*c - 26 for r.
-1
Let t be 78/(-182) + (-48)/(-14). Solve 4*n + 4 = 0, t*g + n + 2*n - 6 = 0 for g.
3
Let r(g) = -2*g**3 - 12*g**2 - 6*g - 33. Let h be r(-6). Solve -3*f = -2*d + 11, h*d - 4 = -4*f + d for f.
-1
Let s be (-68)/(-18) - (-14)/63. Suppose s*n = -1 + 21. Suppose -3*x = 2*x - 15, -n*x = -5*h + 10. Solve 4 = -2*a, -h - 3 = 2*v + 3*a for v.
-1
Suppose 16*s + 10*s - 286 = 0. Suppose -4*c - m = -s, -7*c - m - 1 = -6*c. Let w be (-1 - 0)/(1 + -2). Solve c*i - 27 = -5*f, 0 = 3*i - 8 - w for f.
3
Let z = 307 + -304. Solve 4*w - 3*w + 3*g = 11, z*w - 3*g + 27 = 0 for w.
-4
Let h = -19 + 24. Suppose 0 = 2*o + 3*o - 2*f - 24, -5*o + 10 = h*f. Solve x + 4*x - 36 = 4*s, -o*s + 4*x - 32 = 0 for s.
-4
Let r(q) = -q**3 + 13*q**2 + 14*q. Let o be r(14). Solve 2*u + 2*g = o, 4*u - 6 = 3*g + 1 for u.
1
Suppose -3*o + 6 + 0 = 0. Let n be 2/(-4)*7 - 96/(-64). Let d be n*(-2)/(-12)*-45. Solve d = 3*a - 4*w, a + o*w = -2*a + 15 for a.
5
Let m be -12 + 14 + (2 - 3). Solve 2*y - 11 - m = -4*b, 5*y = 4*b + 16 for y.
4
Let w = 3 + 1. Suppose a = 2*c + 31, -40 = -3*a - 3*c + 17. Suppose -26 + a = -i. Solve -3*p + 20 = -w*p + 5*y, 4*p = i*y + 5 for p.
5
Suppose -3*y = 2*i + y, y = 8*i. Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
s.
-24
Solve -31*r + 356 + 140 = 0 for r.
16
Solve -265 + 822 + 67 = -52*r for r.
-12
Solve -17191 = 114*d - 12631 for d.
-40
Solve -2*f = -1602 + 1586 for f.
8
Solve -3871 + 1155 = 97*g for g.
-28
Solve -296*z + 30 = -302*z for z.
-5
Solve 34 = 369*u - 352*u for u.
2
Solve 147*j = 85 - 1702 for j.
-11
Solve -3418*a + 3477*a - 1357 = 0 for a.
23
Solve -554*r + 329*r = -315*r - 1170 for r.
-13
Solve 17612*x - 17595*x + 238 = 0 for x.
-14
Solve -45*q - 4103 = -4778 for q.
15
Solve -25*l - 118 - 36 - 71 = 0 for l.
-9
Solve -96*t + 443 - 925 = 1246 for t.
-18
Solve 9*g = -19*g - 488 + 40 for g.
-16
Solve 0 = -11525*g + 11626*g - 2222 for g.
22
Solve -144*x = -380*x - 1652 for x.
-7
Solve -4774 - 4374 = -721*r + 3109 for r.
17
Solve 1862 = 125*h + 8*h for h.
14
Solve 3*j - 43 = -11*j - 225 for j.
-13
Solve 221*t - 250*t + 2140 = 399*t for t.
5
Solve 0 = -237*o + 249*o + 12 - 0 for o.
-1
Solve -286*v - 198 = -140*v - 137*v for v.
-22
Solve 44 = 937*q - 948*q for q.
-4
Solve 0 = -61*c + 374*c - 1750 + 7384 for c.
-18
Solve -230 = -590*l + 567*l for l.
10
Solve 83 = -46*i - 331 for i.
-9
Solve -215*h - 285 - 236 = 984 for h.
-7
Solve c + 1 = -5 - 5 for c.
-11
Solve 0 = -9081*x + 9100*x for x.
0
Solve -439*a + 165*a - 774 = 113*a for a.
-2
Solve -65*h - 185 = -70 + 470 for h.
-9
Solve 0*h = 7*h + 5*h + 132 for h.
-11
Solve 927*k - 948*k + 168 = 0 for k.
8
Solve -767*q + 789*q - 132 = 0 for q.
6
Solve 81*n - 207*n + 1137 = -2013 for n.
25
Solve 0 = -96*r + 6*r + 180 for r.
2
Solve -500*h + 20 = -520*h for h.
-1
Solve -33*k - 21*k + 306 = -288 for k.
11
Solve 0 = -65*z + 14*z + 663 for z.
13
Solve -281*b + 264*b - 221 = 0 for b.
-13
Solve 130 + 430 = -68*k - 52 for k.
-9
Solve -7772*s = -7931*s - 1590 for s.
-10
Solve 375*s + 95 = 186*s + 170*s for s.
-5
Solve 297*c - 2707 - 560 = 0 for c.
11
Solve 20*h - 218 = 302 for h.
26
Solve -1006*p - 429 = -967*p for p.
-11
Solve 65107*p + 300 = 65127*p for p.
15
Solve 30*o + 24*o = 18*o - 180 for o.
-5
Solve 0 = 1728*g - 73*g + 994*g + 45033 for g.
-17
Solve -116*o = -137*o - 178 - 11 for o.
-9
Solve 746*k = 783*k - 555 for k.
15
Solve -386*j = -611 + 5243 for j.
-12
Solve 2216 - 4184 = 13*t - 2150 for t.
14
Solve -42*c + 12*c = -91*c - 976 for c.
-16
Solve 90*m = -29*m - 1785 for m.
-15
Solve 567*q + 368 = 659*q for q.
4
Solve 76*s + 3240 = -39*s - 47*s for s.
-20
Solve 13*d = 12*d - 18*d - 190 for d.
-10
Solve 10*k - 225*k - 376 - 4354 = 0 for k.
-22
Solve -65 = -15*c + 38*c + 165 for c.
-10
Solve 124 = 8*u + 44 for u.
10
Solve 669*h - 3817 = 13205 + 6393 for h.
35
Solve -41*x - 7332 = -8111 for x.
19
Solve -4722 = -198*v - 1031 + 1061 for v.
24
Solve 0 = 513*y - 524*y - 121 for y.
-11
Solve 5562*v - 825 = 5487*v for v.
11
Solve 60*p + 1152 = -12*p - 24*p for p.
-12
Solve 85721*o = 85716*o + 10 for o.
2
Solve 269*z + 43*z - 2985 = -285*z for z.
5
Solve 417533 = -8*l + 417525 for l.
-1
Solve -1303 + 225 = 98*a for a.
-11
Solve 380*w + 124*w + 8064 = 0 for w.
-16
Solve 107*i + 294 = 2220 for i.
18
Solve -3210 = 506*t - 185*t for t.
-10
Solve -304*t + 1436 = -2516 for t.
13
Solve -295*u - 253*u = -88*u + 5060 for u.
-11
Solve -240*o + 316*o = -1824 for o.
-24
Solve -33 = t + t - 7 for t.
-13
Solve 183*y - 447 = -3741 for y.
-18
Solve -26*x + 0*x - 77 = 235 for x.
-12
Solve 78*v = -3692 + 1586 for v.
-27
Solve -233*y - 98*y = 3310 for y.
-10
Solve 21*c = -36*c - 39*c + 1440 for c.
15
Solve -230 = -109*w - 1320 for w.
-10
Solve 1416 + 384 = 86*g + 338 for g.
17
Solve 23316*a - 23499*a - 4941 = 0 for a.
-27
Solve 11 = 167*u - 68 - 88 for u.
1
Solve 65 = -3253*c + 3266*c for c.
5
Solve -42992*w - 102 = -42975*w for w.
-6
Solve -24*j - 27*j - 477 = 135 for j.
-12
Solve -92*y = -25*y - 44 + 1049 for y.
-15
Solve 102 = 136*g + 102 for g.
0
Solve 11*i - 12*i + 4 = 0 for i.
4
Solve -1549 = -310*j - 3674 - 7175 for j.
-30
Solve 2080*p - 2137*p + 156 = -243 for p.
7
Solve 25*q - 33 - 96 = 46 for q.
7
Solve 27*w = 58*w + 310 for w.
-10
Solve -30*q = -112*q + 984 for q.
12
Solve 508*g - 150 = 261*g + 253*g for g.
-25
Solve -406*l + 422*l = 16 for l.
1
Solve -84*a + 27*a - 371 = -998 for a.
11
Solve -86*k - 2666 = -344 for k.
-27
Solve -1778 + 882 = 56*i for i.
-16
Solve 44 + 109 = -8724*f + 8673*f for f.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
is -14253 + 5?
-14247
In base 14, what is 3b - 84?
-47
In base 12, what is 357b - -5?
3584
In base 2, what is -1111000 - -100000?
-1011000
In base 5, what is 122 - -12?
134
In base 3, what is 110221 - 11?
110210
In base 4, what is 10 - 1?
3
In base 7, what is 0 + 3?
3
In base 10, what is -1 + 7?
6
In base 8, what is -165 - -5?
-160
In base 2, what is -1001 - 11000011?
-11001100
In base 7, what is 160 + -14?
143
In base 5, what is 10142 - 0?
10142
In base 13, what is 371 + 2?
373
In base 7, what is -312 + 2?
-310
In base 12, what is -1259 + 3?
-1256
In base 10, what is 0 - -60?
60
In base 4, what is 221 - -1?
222
In base 9, what is -8 + 41?
32
In base 13, what is -5 + -376?
-37b
In base 13, what is 1 + -5?
-4
In base 9, what is -5166 - -2?
-5164
In base 13, what is -2a3 - 6?
-2a9
In base 8, what is 1170 + -1?
1167
In base 4, what is -12202 + 2?
-12200
In base 12, what is -4 + -1234?
-1238
In base 11, what is 4 + 3?
7
In base 16, what is -38 - -4?
-34
In base 3, what is -11 + 21102?
21021
In base 7, what is 163 + 5?
201
In base 4, what is -301 + 0?
-301
In base 11, what is 1981 - -5?
1986
In base 12, what is 18a + -1?
189
In base 12, what is 4a - -11?
5b
In base 11, what is 1194 + 0?
1194
In base 14, what is -2 + -14c?
-150
In base 16, what is 4 + 3?
7
In base 9, what is 4373 - 4?
4368
In base 16, what is 45 - 0?
45
In base 3, what is -11 + -1111?
-1122
In base 7, what is 100551 - 3?
100545
In base 13, what is 44c4 + -4?
44c0
In base 13, what is -309 - 1?
-30a
In base 3, what is 2 - 10111120?
-10111111
In base 3, what is 12120211 - 10?
12120201
In base 8, what is -36263 - -5?
-36256
In base 6, what is 1504 - -5?
1513
In base 15, what is 40 - 0?
40
In base 4, what is -3102 - 0?
-3102
In base 12, what is 32 - -166?
198
In base 9, what is -6665 + 1?
-6664
In base 16, what is 9 + -26?
-1d
In base 5, what is -412 - 0?
-412
In base 9, what is -2 + -1207?
-1210
In base 14, what is 57 + -4?
53
In base 2, what is -101000001101 - -11?
-101000001010
In base 11, what is -95 - 0?
-95
In base 15, what is -b - -8d8?
8cc
In base 2, what is -10001101110 - 11?
-10001110001
In base 2, what is 11010000 + 101000?
11111000
In base 13, what is 108c - 3?
1089
In base 5, what is -10032 + -10?
-10042
In base 2, what is -11 - 1010101?
-1011000
In base 4, what is -130212 + -2?
-130220
In base 4, what is 110301 - 3?
110232
In base 14, what is 18 + 22?
3a
In base 9, what is 4 - -855?
860
In base 13, what is -11 + -39?
-4a
In base 14, what is 4 + -1c2?
-1bc
In base 6, what is 1 + -343?
-342
In base 15, what is -5 - -2a?
25
In base 14, what is -15 + -113?
-128
In base 10, what is -3 + -2172?
-2175
In base 11, what is 946 + 0?
946
In base 2, what is 11 + -10101100?
-10101001
In base 8, what is -2555 + 0?
-2555
In base 16, what is -1 - -a5?
a4
In base 9, what is -3 - 117?
-121
In base 14, what is bb4 + 0?
bb4
In base 5, what is -3 + 201?
143
In base 9, what is -121 + 223?
102
In base 6, what is -40 + 45?
5
In base 6, what is -1331 - -10?
-1321
In base 15, what is 233 + 1?
234
In base 12, what is 3 + -56a?
-567
In base 5, what is 23034 - 1?
23033
In base 9, what is -2 + -513?
-515
In base 8, what is -5 + -41?
-46
In base 13, what is 2a0 - -4?
2a4
In base 14, what is 4 + -56a?
-566
In base 15, what is 2 + 603?
605
In base 8, what is -66 + 1?
-65
In base 2, what is 10001111101100 - -1?
10001111101101
In base 11, what is -193 + 81?
-112
In base 7, what is -2321 + 30?
-2261
In base 10, what is 1 - -69?
70
In base 12, what is 979 - 0?
979
In base 2, what is -1 + -11100100000?
-11100100001
In base 15, what is 12 - 30?
-1d
In base 15, what is 19 + eb?
115
In base 13, what is -7 + 5?
-2
In base 16, what is -137 - -1?
-136
In base 13, what is 24 - -1?
25
In base 12, what is -31 + -14b?
-180
In base 14, what is 1 - 84?
-83
In base 10, what is 1 + -156?
-155
In base 3, what is 21122001 + -11?
21121220
In base 4, what is 13 - 12033?
-12020
In base 12, what is 9 - -17?
24
In base 5, what is 2 + -133?
-131
In base 13, what is 4ba - -3?
4c0
In base 12, what is 68 + 5?
71
In base 6, what is 3 + 3020?
3023
In base 8, what is 5 - 3210?
-3203
In base 14, what is 85 - 0?
85
In base 13, what is 8b4 + -7?
8aa
In base 5, what is 13 - -3344?
3412
In base 9, what is -1540 + -1?
-1541
In base 7, what is -11263 - 5?
-11301
In base 5, what is 2 - -412?
414
In base 11, what is 5 + 22?
27
In base 7, what is -441 + -2?
-443
In base 11, what is 397 + 2?
399
In base 4, what is -200 + -21100?
-21300
In base 16, what is 14 - -c3?
d7
In base 3, what is -1111 - 2?
-1120
In base 8, what is 21 + 262?
303
In base 2, what is -101 + -11?
-1000
In base 3, what is -210 + 2?
-201
In base 10, what is 0 - -314?
314
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*j - 5*f. Suppose -j*w + 5*w = -220. List the prime factors of w.
2, 11
Let t be (-4)/3*(-8 + -214). Suppose 0 = 4*n - j - 2*j - 272, t = 4*n + 3*j. What are the prime factors of n?
71
Suppose -4*l - 2*y = -7 + 3, -5*l = 5*y - 15. Suppose 5*r = 5*x - 25, 0*r - 3*r - 3 = 3*x. List the prime factors of x - (l - 0) - -19.
2, 11
Let u(x) = 1053*x - 12. Let h(q) = 81*q - 1. Let j(l) = -27*h(l) + 2*u(l). What are the prime factors of j(-1)?
2, 3, 7
Suppose -11*j + 6*j - r = -441, 0 = 3*j + 2*r - 266. Suppose 828 = 94*y - j*y. List the prime factors of y.
2, 3, 23
Let u(p) be the first derivative of -p**2/2 + 12*p + 9. Let c be u(7). Let z = 1 + c. List the prime factors of z.
2, 3
Suppose -3*a + 672 - 147 = 0. Suppose 0 = 9*l - 4*l - a. List the prime factors of l.
5, 7
Let i = -14 + 11. Let d = 31 - i. List the prime factors of d.
2, 17
Suppose -5*n + 5*s + 1580 = 0, 0 = 2*n - s - 2*s - 636. Suppose -2*j = 4*r - 606, 4*r + 5*j + n - 909 = 0. What are the prime factors of r?
3, 17
Suppose 2*c - 2 - 2 = 0. Let u be (-8)/(c/((-6)/3)). Let a(w) = 4*w - 12. What are the prime factors of a(u)?
2, 5
Suppose 3*s + 8 = 5*s. Suppose s*q - 6 = -2*k, 5*k = k - 5*q + 3. Let z = 23 + k. List the prime factors of z.
2, 5
Suppose 0 = 4*w + k - 1146, 6*k = -2*w + 2*k + 566. List the prime factors of w.
7, 41
Suppose -4*g - 4*b + 0*b + 308 = 0, -4*b = -g + 77. Let v(f) = -2*f**2 - 82*f + 7 + g*f + 3*f**2. What are the prime factors of v(-5)?
3, 19
Let z(c) = 5*c**2 - 41*c - 32. What are the prime factors of z(-14)?
2, 761
Let o(c) = 22*c + 82. What are the prime factors of o(10)?
2, 151
What are the prime factors of (-2822)/(-6) - 1/3?
2, 5, 47
Suppose -3*y = 2*o - 3308, -4*y + 0*y = -5*o - 4426. Suppose -31*t - y = -37*t. List the prime factors of t.
2, 23
What are the prime factors of ((-1179)/(-18) - 8)/((-1)/(-4))?
2, 5, 23
Suppose 19*u = 9*u + 21450. What are the prime factors of u?
3, 5, 11, 13
Let v = -711 - -1582. List the prime factors of v.
13, 67
Let n(c) = -c**3 - 20*c**2 + 33*c + 33. What are the prime factors of n(-22)?
5, 11
Let j(a) = -67*a - 126. What are the prime factors of j(-8)?
2, 5, 41
Suppose z + 5*s - 8 = 11, 0 = -z + 5*s - 31. Let u be ((-4186)/21)/(4/z). List the prime factors of u/115*(6 + -1).
13
Let r = 1252 + -694. Let x = r - 349. List the prime factors of x.
11, 19
Suppose 4*z + 968 = -2*t + 17684, -5*t = 4*z - 16704. What are the prime factors of z?
37, 113
Suppose -3*x + 2*o + 19 = 4*o, 0 = -2*x + 4*o + 2. Suppose 0 = z + 5*y - 76, -4*z + 0*y + 244 = x*y. List the prime factors of z.
2, 7
Let m be (-1)/(12/35 - (-3)/(-15)). What are the prime factors of m - -9 - (-2)/((-6)/(-681))?
229
Let p(o) = o**2 + 12*o + 16. Let s(b) = -3*b + 0*b - 4*b**3 + 3*b**3 + b + 1. Let r be s(2). List the prime factors of p(r).
5
Let r(b) = -2*b**3 - 18*b**2 + 12*b - 1. Let i be r(-10). Let a = i + -70. List the prime factors of a.
3
Let x(a) = -a**3 + 5*a**2 - 7. Suppose 2*v = -7*v - 27. List the prime factors of x(v).
5, 13
List the prime factors of ((-134)/(-5))/((-14)/(-210)).
2, 3, 67
Let g(u) = 37*u**3 + u**2 - u + 1. Let a = 24 + -23. List the prime factors of g(a).
2, 19
Let m = -26 + 30. Suppose -m*x - x = -15. Suppose 4*p - x*p = 47. What are the prime factors of p?
47
Suppose 0 = 6*w - 7*w + 1921. What are the prime factors of w?
17, 113
Suppose 0 = -13*a + 23*a - 290. Suppose 7*c - 4*c + 2*q - 44 = 0, 0 = -2*c + 2*q + 46. Let z = a - c. List the prime factors of z.
11
Let q(l) = l**2 + 7*l + 14. Let i be q(-4). Suppose i*o - 10 = 0, -4*k + 3*o - 224 = -1025. What are the prime factors of k?
2, 3, 17
What are the prime factors of 41 + -45 + 2/(2/453)?
449
Suppose 3*o + 71 = 452. Let p = o - 58. Suppose -4*s + p = -s. List the prime factors of s.
23
Suppose -x - 2462 = -w, -27*w = -31*w - 2*x + 9842. List the prime factors of w.
23, 107
Let r(j) = -j**3 + 3*j**2 + 2. Let x be r(3). Suppose x*b = 128 + 4. Suppose -2*l + b = 24. What are the prime factors of l?
3, 7
Let o be 3 - ((-21)/(-18) + (-2)/12). Suppose -1 + 4 = 3*i. What are the prime factors of (i/o)/((-6)/(-72))?
2, 3
Suppose 720 = 4*k + c, 6*k = k + 4*c + 900. Suppose d - k = -5*y, 25 = -2*d - 3*d. What are the prime factors of y?
37
Suppose -2*v - 4*u - 5 = 11, -v + 3*u = -12. Let l be (3 - 2) + 0 - -1. Suppose 0 = -v*m + l*m - 128. List the prime factors of m.
2
Let u(s) = 2*s**2 - 8*s - 20. Let f be u(10). What are the prime factors of (18/15)/(((-21)/f)/(-7))?
2, 5
Let i(c) = -96*c - 22. What are the prime factors of i(-6)?
2, 277
Suppose -49*l + 11341 = -120371. List the prime factors of l.
2, 3, 7
List the prime factors of (-76080)/200*(3 - 38/6).
2, 317
Let t(j) = j**3 + 2*j**2
|
{
"pile_set_name": "DM Mathematics"
}
|
irst derivative of b**6/60 - 7*b**3/6 - 7*b**2/2 + 10. Let w(v) be the second derivative of c(v). What is the derivative of w(g) wrt g?
6*g**2
Let l(u) = 4*u**4 - 2*u**3 + 282*u**2 + 9. Let r(i) = 2*i**4 + 1. Let k(b) = 2*l(b) - 18*r(b). Find the third derivative of k(c) wrt c.
-672*c - 24
Let z(x) be the second derivative of 0*x**5 + 0*x**2 + 0*x**6 - 29*x + 3*x**4 + 0*x**7 + 0 + 39/56*x**8 + 0*x**3. What is the third derivative of z(h) wrt h?
4680*h**3
Let a(t) be the first derivative of -10*t**2 - t + 11. Let d be a(-1). Find the third derivative of 0*h**5 - 9*h**5 - h**5 + 17*h**2 - d*h**2 wrt h.
-600*h**2
Let o(z) = -14*z**2 + 7*z + 47. Let s(m) = 13*m**2 - 6*m - 46. Let a(i) = 5*o(i) + 6*s(i). Find the second derivative of a(t) wrt t.
16
Differentiate -3*w - 4*w - 3*w - 10*w - 85 - 188*w**4 + 19*w wrt w.
-752*w**3 - 1
Let g = -1 - -8. Let o = -6 + g. What is the first derivative of -3 - o + 2*b + 1 + 2 wrt b?
2
Let b(c) = c**3 + 11*c**2 - 27*c + 7. Let l be b(-13). What is the second derivative of -10*a - 5*a + l*a - 26*a**4 + 24*a wrt a?
-312*a**2
Let g(x) = 32*x**2 + 461*x + 707. Let u(k) = 6*k**2 + 92*k + 141. Let b(n) = 2*g(n) - 11*u(n). Differentiate b(j) with respect to j.
-4*j - 90
Suppose -5*m + o + 16 = -12, 4*m - 5 = -5*o. Find the second derivative of -13*b - m*b**4 + 3*b**4 - 4*b**4 wrt b.
-72*b**2
Let u(r) be the second derivative of 5/24*r**4 + 0*r**2 - 1/60*r**5 - 5/6*r**3 + 0 + 5*r. Let n(l) be the second derivative of u(l). Differentiate n(o) wrt o.
-2
Let c = -3 + 14. Find the third derivative of -31*n**2 + 0*n**3 + 0*n**3 - c*n**4 + 36*n**2 wrt n.
-264*n
Suppose 4*a = -0*a + 200. Suppose 0*q + a = 5*q. What is the second derivative of 10*s**4 + 9*s**5 - q*s**4 + 10*s wrt s?
180*s**3
Let l(w) = w**2 + 17*w + 58. Let g be l(-13). Let d(h) = -h**3 + 2*h**2 + 2*h - 2. Let c be d(2). Differentiate 4*n**2 - 8*n**2 + 6*n**c + g wrt n.
4*n
Let c(o) = -18*o**2 + 5*o. Let i(g) = -18*g**2 + 4*g. Let h = 27 - 22. Let k(z) = h*c(z) - 6*i(z). Find the second derivative of k(x) wrt x.
36
Let p(d) be the second derivative of 23*d**5/20 - d**4/2 - 139*d**3/6 - 9*d - 5. Find the second derivative of p(y) wrt y.
138*y - 12
Find the second derivative of -71*t + 102*t - 103*t + 134*t**2 wrt t.
268
Let c(d) be the first derivative of 6*d**4 + 0*d**2 + 20 + 0*d - 1/3*d**3. What is the third derivative of c(h) wrt h?
144
Let u(i) = 5*i**2 + 9*i - 416. Let k(y) = 2*y**2 - 3. Let b(n) = 5*k(n) + u(n). What is the derivative of b(d) wrt d?
30*d + 9
Find the third derivative of -17*l**6 - 10*l**2 + 60*l**3 + 54*l**3 - 4 - 112*l**3 wrt l.
-2040*l**3 + 12
Let n(p) = -12*p**3 + 10*p**2. Suppose -4*d = -11*d - 77. Let g(q) = -23*q**3 + 21*q**2. Let y(z) = d*n(z) + 6*g(z). Find the third derivative of y(k) wrt k.
-36
Let j(v) = 149*v**3 - 46*v**2 + 4*v + 3. Let m(k) = -148*k**3 + 47*k**2 - 6*k - 4. Let q(r) = 4*j(r) + 3*m(r). What is the third derivative of q(z) wrt z?
912
Let j = -45 - -48. What is the first derivative of -13 - j*y**2 + 20 - 18 wrt y?
-6*y
Find the second derivative of 542*g**4 + 6667*g**2 + 21 - 15*g - 6*g - 6667*g**2 wrt g.
6504*g**2
Let j = 1255 + -1255. Let u(f) be the second derivative of 0 + j*f**3 + 5/2*f**2 + 4*f - 5/6*f**4. Find the first derivative of u(c) wrt c.
-20*c
What is the third derivative of 65*l**2 + 182*l + 185*l**2 - 182*l - 180*l**5 wrt l?
-10800*l**2
Let h(l) = -26*l**3 - 42*l**2 + 2*l - 8. Let t(q) = -77*q**3 - 128*q**2 + 6*q - 22. Let w(d) = 11*h(d) - 4*t(d). What is the third derivative of w(x) wrt x?
132
Let p(y) be the first derivative of -2*y**3/3 - 17*y**2/2 - 33*y + 29. Differentiate p(u) wrt u.
-4*u - 17
Find the second derivative of 9*c - 2 + 7*c + c**3 - 4 - 15*c**4 + 4 wrt c.
-180*c**2 + 6*c
Let t = -42 - -50. Find the third derivative of -t*d**3 - 5*d**2 + 5*d**3 - 4*d**3 + 15*d**2 wrt d.
-42
Let v(m) = -m**4 + m**3 - m**2 - m + 1. Let o(g) = 15*g**4 - 2*g**3 - g**2 - 11*g - 2. Let d(w) = -o(w) - 2*v(w). Find the third derivative of d(c) wrt c.
-312*c
Let u(p) be the third derivative of -p**9/28 + 19*p**5/20 + 24*p**2 - 2. What is the third derivative of u(z) wrt z?
-2160*z**3
What is the second derivative of -118*q**5 - 683*q - 185*q**5 - 79*q**5 wrt q?
-7640*q**3
Let m(k) be the third derivative of -11*k**8/84 + 103*k**5/60 - 27*k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*l**2 - 456*l + 459.
-3*(l - 1)*(l + 153)
Suppose -1018900082*u**3/15 - 407541976*u**2/3 + 180566*u/15 - 4/15 = 0. What is u?
-2, 1/22571
Find q such that -q**5 - 336*q**4 - 1002*q**3 - 1000*q**2 - 333*q = 0.
-333, -1, 0
Factor 2*u**2 - 457960*u + 26215920200.
2*(u - 114490)**2
Find c such that -c**3/2 - 107*c**2/2 - 1476*c - 3960 = 0.
-60, -44, -3
Suppose -80*r**5 + 156200*r**4 + 78195*r**3 - 146435*r**2 - 78115*r - 9765 = 0. Calculate r.
-1, -1/4, 1, 1953
Factor w**4/5 - 7814*w**3/5 + 15194161*w**2/5 + 275396616*w/5 + 1242139536/5.
(w - 3916)**2*(w + 9)**2/5
What is u in 4*u**3 + 217400*u**2 + 434788*u + 217392 = 0?
-54348, -1
Solve 5*a**3 - 2090*a**2 - 4200*a = 0 for a.
-2, 0, 420
Suppose -c**3/4 + 1649*c**2/4 - 183998*c + 11332228 = 0. What is c?
73, 788
Determine w, given that w**4/7 + 79*w**3/7 - 327*w**2/7 + 59*w - 166/7 = 0.
-83, 1, 2
Factor 3*y**2/5 - 1160778*y/5 - 1160781/5.
3*(y - 386927)*(y + 1)/5
Determine x, given that 4*x**3/7 - 5388*x**2 + 88924896*x/7 - 88887184/7 = 0.
1, 4714
Factor 4*u**2 - 2570112*u + 5140208.
4*(u - 642526)*(u - 2)
Determine y so that 3*y**3 - 120*y**2 - 828*y = 0.
-6, 0, 46
Let -2*p**2/11 + 63196*p - 5491384822 = 0. Calculate p.
173789
Factor 13*k**2 - 8364*k - 21964.
(k - 646)*(13*k + 34)
Factor 4*b**5/5 + 56*b**4/5 + 184*b**3/5 + 256*b**2/5 + 164*b/5 + 8.
4*(b + 1)**4*(b + 10)/5
Find s, given that 19*s**4 - 17*s**3 - 1370*s**2 - 144*s = 0.
-8, -2/19, 0, 9
Solve -2*f**2 + 4072*f + 49152 = 0.
-12, 2048
What is w in -2*w**4/5 - 514*w**3/5 + 516*w**2/5 = 0?
-258, 0, 1
What is t in -5*t**5 - 775*t**4 - 7355*t**3 - 15025*t**2 + 29500*t + 72500 = 0?
-145, -5, -2, 2
What is m in m**5/5 - 14953*m**4/5 - 14963*m**3/5 + 134597*m**2/5 - 164498*m/5 + 59816/5 = 0?
-4, 1, 14954
Factor c**3 - 66*c**2 - 424*c - 576.
(c - 72)*(c + 2)*(c + 4)
Factor -48*b**3 - 7080*b**2 - 10539*b - 3942.
-3*(b + 146)*(4*b + 3)**2
Suppose 2*n**5/3 - 4412*n**4/3 + 2442020*n**3/3 - 3234000*n**2 + 799326*n + 4848804 = 0. Calculate n.
-1, 2, 3, 1101
Determine c, given that 6*c**2 + 176*c/3 + 256/3 = 0.
-8, -16/9
Find y, given that -y**4/5 - 22467*y**3/5 + 44938*y**2/5 = 0.
-22469, 0, 2
What is o in -2*o**4/21 + 202*o**3/7 + 1220*o**2/21 = 0?
-2, 0, 305
Suppose 2*l**4/7 - 1278*l**3/7 - 15528*l**2/7 - 62368*l/7 - 11904 = 0. Calculate l.
-4, 651
Let 2*d**5 + 44*d**4 + 322*d**3 + 856*d**2 + 576*d = 0. Calculate d.
-9, -8, -4, -1, 0
Let 4*v**2 - 3322728*v + 690032585124 = 0. Calculate v.
415341
Determine q, given that -3*q**5 - 735*q**4/4 + 3597*q**3/2 - 10857*q**2/4 + 2205*q/2 = 0.
-70, 0, 3/4, 1, 7
What is o in -2*o**4/5 + 440082*o**3/5 = 0?
0, 220041
Determine x, given that -12*x**4 - 3400*x**3 - 202016*x**2 + 5681152*x - 3696640 = 0.
-152, 2/3, 20
Factor 4*z**2 - 2856280*z + 509895964900.
4*(z - 357035)**2
Factor 4*k**2/5 - 40024*k/5 + 80032/5.
4*(k - 10004)*(k - 2)/5
Factor 3*t**2 - 567024*t + 26793018048.
3*(t - 94504)**2
Factor 4*x**4 - 712*x**3 + 8772*x**2 - 31824*x + 23760.
4*(x - 165)*(x - 6)**2*(x - 1)
Suppose 441*o**3/10 + 57288*o**2/5 - 10918*o/5 + 104 = 0. Calculate o.
-260, 2/21
What is j in -4*j**5 - 316*j**4 - 5364*j**3 + 33084*j**2 - 42120*j = 0?
-45, -39, 0, 2, 3
Determine m so that -2*m**5/5 - 16*m**4/5 + 1544*m**3/5 + 9412*m**2/5 - 1542*m/5 - 9396/5 = 0.
-29, -6, -1, 1, 27
Factor -2*w**2/15 + 213988*w/15 - 5723858018/15.
-2*(w - 53497)**2/15
Suppose -k**4/2 + 97*k**3/2 + 3975*k**2/2 + 40019*k/2 + 60515 = 0. What is k?
-19, -7, 130
Factor 4*y**4 + 132896*y**3 + 1471867488*y**2 + 5435115656320*y + 10864344905792.
4*(y + 2)*(y + 11074)**3
Let -6*v**4 + 117718*v**3/5 - 115593102*v**2/5 + 44604906*v + 15382084/5 = 0. Calculate v.
-1/15, 2, 1961
Solve q**4/3 + 186*q**3 - 10351*q**2/3 + 3264*q = 0 for q.
-576, 0, 1, 17
Solve -4*w**2/7 + 2552*w/7 + 7692/7 = 0.
-3, 641
Suppose 12*g**4 - 2505*g**3 + 114453*g**2 + 146370*g + 29400 = 0. Calculate g.
|
{
"pile_set_name": "DM Mathematics"
}
|
res.
0.7185391
How many seconds are there in 1/24 of a day?
3600
How many months are there in 806.7007 millennia?
9680408.4
How many hours are there in ten thirds of a day?
80
How many years are there in six fifths of a century?
120
How many days are there in 2546.3058 hours?
106.096075
How many milligrams are there in 707.0324g?
707032.4
Convert 2677212.3 months to years.
223101.025
What is fifty-one fifths of a minute in seconds?
612
What is 42.85284 litres in millilitres?
42852.84
What is 173905.5l in millilitres?
173905500
How many nanometers are there in 3/32 of a millimeter?
93750
What is eleven tenths of a millimeter in micrometers?
1100
What is 78.72198ns in milliseconds?
0.00007872198
What is 34/5 of a day in minutes?
9792
How many meters are there in 94.28509 kilometers?
94285.09
Convert 23.0342 decades to years.
230.342
How many millilitres are there in 3/50 of a litre?
60
What is 962029.6kg in tonnes?
962.0296
How many micrograms are there in 655897.6 grams?
655897600000
What is one tenth of a milligram in nanograms?
100000
Convert 767013.9 litres to millilitres.
767013900
How many milliseconds are there in twenty-one eighths of a second?
2625
Convert 17.80461 decades to months.
2136.5532
Convert 6.312511 grams to kilograms.
0.006312511
Convert 855.4089 litres to millilitres.
855408.9
What is thirty-seven halves of a millimeter in micrometers?
18500
What is 152.2465 millennia in decades?
15224.65
What is seven quarters of a milligram in micrograms?
1750
How many millilitres are there in 9.582821 litres?
9582.821
What is three tenths of a day in seconds?
25920
How many years are there in six fifths of a decade?
12
What is twenty-seven halves of a century in decades?
135
How many millilitres are there in 31/5 of a litre?
6200
What is two fifteenths of a century in months?
160
How many millilitres are there in six fifths of a litre?
1200
How many months are there in 15/4 of a decade?
450
What is six fifths of a litre in millilitres?
1200
How many micrometers are there in 7/4 of a centimeter?
17500
What is 735771.4ml in litres?
735.7714
Convert 8023.084 centimeters to kilometers.
0.08023084
What is 5135.379ug in kilograms?
0.000005135379
How many centuries are there in 0.3040169 millennia?
3.040169
Convert 4.068152kg to nanograms.
4068152000000
How many microseconds are there in 0.6454144 minutes?
38724864
How many kilograms are there in 3/5 of a tonne?
600
Convert 0.0137546 weeks to hours.
2.3107728
What is 71/4 of a litre in millilitres?
17750
How many millilitres are there in twenty-seven fifths of a litre?
5400
How many millilitres are there in 12/25 of a litre?
480
What is 0.8095318 decades in centuries?
0.08095318
What is 10.32512 grams in tonnes?
0.00001032512
How many meters are there in 25/2 of a kilometer?
12500
Convert 0.0070872 meters to nanometers.
7087200
What is 6/25 of a kilogram in grams?
240
What is 7/2 of a millennium in decades?
350
What is 956955.8kg in micrograms?
956955800000000
How many micrograms are there in 1/5 of a milligram?
200
How many months are there in three tenths of a millennium?
3600
How many kilograms are there in 37/5 of a tonne?
7400
How many nanograms are there in 446721.3mg?
446721300000
What is 1/5 of a millennium in centuries?
2
Convert 15.1897545ms to days.
0.00000017580734375
How many micrometers are there in twenty-five quarters of a centimeter?
62500
What is 3/50 of a litre in millilitres?
60
How many millilitres are there in 1/10 of a litre?
100
What is eleven tenths of a meter in millimeters?
1100
What is 7/15 of a minute in milliseconds?
28000
How many millimeters are there in 242706.8 meters?
242706800
How many nanograms are there in 0.689484 tonnes?
689484000000000
How many millilitres are there in twenty-seven quarters of a litre?
6750
How many seconds are there in 5/6 of a hour?
3000
What is fifty-five quarters of a kilogram in grams?
13750
How many millimeters are there in 1/20 of a meter?
50
What is 33/5 of a litre in millilitres?
6600
What is 3/10 of a centimeter in millimeters?
3
How many grams are there in 910.4868 milligrams?
0.9104868
What is 3.349239m in centimeters?
334.9239
What is 379751.3 years in centuries?
3797.513
What is thirteen eighths of a millimeter in micrometers?
1625
What is one fifth of a millimeter in micrometers?
200
Convert 4.8436 micrometers to kilometers.
0.0000000048436
Convert 7951.548 centimeters to millimeters.
79515.48
Convert 1.697005 weeks to days.
11.879035
What is five eighths of a litre in millilitres?
625
What is 0.7535287us in nanoseconds?
753.5287
Convert 20265.039 microseconds to minutes.
0.00033775065
What is 46/5 of a litre in millilitres?
9200
What is fourty-five halves of a gram in milligrams?
22500
How many minutes are there in 1/60 of a day?
24
What is twenty-one eighths of a tonne in kilograms?
2625
Convert 0.2714321 grams to nanograms.
271432100
How many millilitres are there in 21/5 of a litre?
4200
What is one tenth of a century in months?
120
How many tonnes are there in 72.01855kg?
0.07201855
Convert 0.1365126 centuries to years.
13.65126
What is 0.2103474mm in centimeters?
0.02103474
Convert 0.4597613 years to centuries.
0.004597613
What is twenty-one halves of a tonne in kilograms?
10500
Convert 5946.082kg to grams.
5946082
What is 347317.9ug in grams?
0.3473179
How many millilitres are there in 42/5 of a litre?
8400
How many millilitres are there in three eighths of a litre?
375
How many years are there in 1/4 of a century?
25
What is 3/32 of a kilometer in millimeters?
93750
How many hours are there in seven quarters of a week?
294
How many minutes are there in eleven tenths of a day?
1584
What is 3/10 of a centimeter in millimeters?
3
What is 43/4 of a decade in months?
1290
What is seventeen halves of a litre in millilitres?
8500
What is 230.23959 hours in weeks?
1.37047375
How many minutes are there in 1/20 of a day?
72
How many meters are there in thirty-seven halves of a kilometer?
18500
Convert 0.9672694 centuries to millennia.
0.09672694
What is three tenths of a litre in millilitres?
300
How many milliseconds are there in one quarter of a minute?
15000
What is 65/3 of a decade in months?
2600
Convert 7.459843 years to months.
89.518116
How many meters are there in 5.919198 micrometers?
0.000005919198
Convert 6.67257l to millilitres.
6672.57
What is 5917.37nm in millimeters?
0.00591737
Convert 0.791507kg to micrograms.
791507000
Convert 377.
|
{
"pile_set_name": "DM Mathematics"
}
|
Let a be f(u). Let m(v) = a - 574 + 0*v**3 - v**2 + v + v**3. Give m(0).
3
Let t = -56 + 58. Let u be -3*((-2)/t)/(1/(-3)). Let s(r) = -1 + 0 - 6 - r - 1. What is s(u)?
1
Let m(c) = c**2 - 169*c + 16 + 351*c - 168*c - 4. Determine m(-12).
-12
Let b(l) = -294*l**2 - 301*l**2 + l + 904*l**2 - 304*l**2 + 33 + l**3. Give b(-6).
-9
Let l(v) = 20*v**2 - 2 - 13 + 23 + v - 10. Determine l(1).
19
Let s(b) = -75*b**3 + 154*b**3 - 42 - b - 80*b**3. Determine s(0).
-42
Let k(m) = 2*m - 4. Let g(n) be the first derivative of -7*n**2/2 - 53*n - 24. Let x be g(-8). Calculate k(x).
2
Let w(j) = -5 + 0 - 3*j**2 - j**3 + 2 - 2*j - 2 + 8*j**2. Calculate w(2).
3
Let s(y) = 76*y - 238*y + 0*y**2 + 86*y + 85*y + 2*y**2 - 134. Determine s(-11).
9
Suppose 2*d = -4*o - 2, 27*o - 8 = 25*o. Let g(b) = -b**3 + 11*b**2 - 7. Let y(l) = 6*l**3 - 56*l**2 + l + 34. Let w(u) = 11*g(u) + 2*y(u). What is w(d)?
-27
Let g(w) = -3*w + 115. Let d be ((-3)/(-3))/((-10)/72*(-91)/455). Determine g(d).
7
Let k(h) be the third derivative of -h**4/8 - 5*h**3/3 + 2*h**2 - 4*h. What is k(-11)?
23
Let g be ((-5)/(-15))/(1/1167). Let b(a) = a - g*a**2 + 386*a**2 - 4*a. Calculate b(-3).
-18
Let v = 2 + 2. Let r(p) = 11*p**2 + 4*p + 4. Let i(k) = -k**3 + 3*k**2 + 7*k - 14. Let x be i(2). Let g(n) = -3*n**2. Let l(q) = x*g(q) + r(q). Calculate l(v).
4
Let f(c) be the third derivative of 5*c**4/8 + 61*c**3/2 + 728*c**2 - 8. What is f(-13)?
-12
Suppose -28 = -37*p + 157. Let h(i) = -i**3 + 8*i**2 - 8*i + 12. Give h(p).
47
Let h(z) = 4*z - 29. Let c(q) = 21*q - 146. Let y(g) = -2*c(g) + 11*h(g). Let l = 317429 + -317416. Calculate y(l).
-1
Suppose -d - 13*s + 16*s = 21, 5*d + 2*s = -105. Let w(j) = -j**3 - 20*j**2 + 20*j - 22. Determine w(d).
-1
Suppose 2*x - o - 2 = 0, 0*x + 2*o + 4 = 3*x. Let i(s) = s - 13. Determine i(x).
-13
Suppose -7*l + 36 = -48. Let w(b) = -b**3 + 14*b**2 - 11*b + 4. Let z be w(13). Let n(x) = -z + 15 + l + x. Give n(0).
-3
Let x = 22 - 22. Suppose -6*l = -x*l - 594. Let m(r) = -99 + l - 4*r. Calculate m(2).
-8
Let r(v) = 2*v**2 + 69*v - 37. Let c = -7936 - -7901. What is r(c)?
-2
Let j(w) = w + 2. Suppose 5*l - 4*l - 3*z + 5 = 0, -27 = -5*l + 2*z. Suppose -2*y - 16 = 4*r, -15 = l*r - 4*r + 3*y. What is j(r)?
-1
Let t(y) = -y**2 - 8*y + 1. Suppose 0 = -4*d + 3*l - 0*l + 81, 0 = -5*l - 15. Suppose -565*f + d = -567*f. What is t(f)?
-8
Suppose -54*z = 7 + 47. Let w(o) = 5*o**2 - 2*o. Calculate w(z).
7
Let v(g) be the first derivative of g**3/3 + 5*g**2/2 + 17*g + 1463. Determine v(-4).
13
Let z(w) = -w**3 + 5*w**2 - 6*w + 5. Let u be 6/(-3)*2 - (-3 + 94). Let x be (-4)/(-18) + 28*u/(-180). Suppose x*v - v = 56. Determine z(v).
-3
Let q(i) = 99*i**2 + 28*i + 11. Let x(m) = 89*m**2 + 26*m + 10. Let y(o) = -9*q(o) + 10*x(o). Suppose -9 = -3*f - 5*c - 2, 2*c + 2 = 0. Calculate y(f).
17
Let i(k) = -4*k - 2. Let m(a) = 17*a + 7. Let r(y) = -21*i(y) - 6*m(y). Suppose -5*t - 11 = 4*h, h - 13 = -5*t + 3*h. Calculate r(t).
-18
Let v(o) = -24*o**3 - 78*o**2 - o + 138. Let z(k) = -17*k**3 - 52*k**2 - k + 92. Let w(d) = -5*v(d) + 7*z(d). What is w(-26)?
6
Let m(s) = -s**3 - 4*s**2 + 3*s - 3. Suppose -t - 24*w = -22*w - 4, -45 = -3*t + 5*w. Suppose 80 + t = -15*r. Determine m(r).
51
Let s(i) = 114*i - 192. Let q(d) = 30*d - 48. Let b(z) = 15*q(z) - 4*s(z). Give b(7).
6
Suppose 4*o + 20*c = 18*c - 20, 3*c + 24 = -4*o. Let x(i) = -49*i + 5. What is x(o)?
152
Let f(n) = -5*n**2 + 77*n + 49. Let u be f(16). Let l(r) = -12*r**3 + 2*r**2 + r - 2. Determine l(u).
-11
Let i be (-2)/(8/4 - 3). Let z(m) = 5*m**3 + 14*m - 2. Let l(c) = 6*c**3 + 16*c - 2. Let t(k) = -6*l(k) + 7*z(k). Calculate t(i).
-6
Let p(w) = -215*w - 653. Let v be p(-3). Let m(l) = -2*l**3 - 14*l**2 + 19*l + 18. Calculate m(v).
-6
Suppose 0 = 6*j - 6 + 30. Let r(m) be the second derivative of 0 - 18*m - m**3 + 0*m**2 - 1/12*m**4. Determine r(j).
8
Let l(v) = -40 - 44 - 51 + 106 + 16*
|
{
"pile_set_name": "DM Mathematics"
}
|
est value? (a) n (b) -2/41 (c) 2/7
b
Let z = -1845 - -9228/5. What is the fourth smallest value in z, -0.13, 0.4, 2?
2
Let m = -1 - -6. Let f = 32.9 + -33.1. Which is the fourth biggest value? (a) 4 (b) f (c) 3 (d) m
b
Let g(h) = 48*h - 283. Let a be g(6). What is the third smallest value in a, 0.02, 26?
26
Let m be (2/(-16)*2)/(15/12). Which is the second biggest value? (a) 0.3 (b) -5 (c) m
c
Let k = 60 - 60.4. Which is the fourth smallest value? (a) -1/9 (b) 3 (c) k (d) 0.12
b
Let o(u) = -u**2 + 8*u - 13. Let s be o(5). Suppose -s*k - 3 - 3 = 2*i, -k - 5 = 3*i. Which is the third smallest value? (a) i (b) 3 (c) 4
c
Let v = 13 - 9. Let r = -0.69 + -73.31. Let k = 74 + r. Which is the second biggest value? (a) v (b) 1/4 (c) k
b
Let z = 1 - -5.4. Let y = 6 - z. Let f be -1 + -2 + (-15)/6. Which is the second smallest value? (a) 1 (b) f (c) y
c
Let f = -247 - -245.81. What is the smallest value in -2/5, 3, f?
f
Suppose 0 = -6*h - 32 + 50. Suppose t - 3 + 4 = 0. Let x be -1 - t - 5/4. Which is the second biggest value? (a) h (b) 0.07 (c) x
b
Let u be (3/5)/(2/20). Let b = 4 - u. Let z be b/10 - (-10)/(-25). What is the smallest value in -1/5, z, -3/7?
z
Suppose -43 = -3*p - 3*z + 74, -2*p = z - 76. Let s = p - 25. Let w be -1 - (38/s + -4). Which is the third biggest value? (a) w (b) -1/3 (c) -0.5
c
Suppose 5 = 4*w - 5*k, -w = w + k + 1. What is the second biggest value in -2/3, w, -0.6, 2/5?
w
Let z(l) = -3*l**2 - l. Let o be z(-3). Let u = o - -23. Let t be (-2)/((10/3)/u). Which is the second biggest value? (a) 3 (b) -3 (c) t
c
Let f = 35 + -31. What is the smallest value in f, 13, -0.1?
-0.1
Let h = 0.8 + 2.2. Let f = -20 - -14. Let p be f/5 + -4 - -4. What is the second smallest value in h, p, -4?
p
Let m = 0.9 + -1.9. Let t = -1/10 + -11/40. Which is the third smallest value? (a) 1 (b) t (c) m (d) 0.045
d
Let j = -46.088 + 0.088. Let q = j + 45.24. Let v = 0.7 + q. Which is the second smallest value? (a) v (b) 3 (c) -0.2
a
Let m(v) = -v**3 + 7*v**2 + 10*v + 11. Let p be m(8). Let l be p/(-396) - (-4)/(-22). Let s = 7 - 4. Which is the smallest value? (a) l (b) 4 (c) s
a
Let h be (-6)/(-4) - 268/216. Let a = h - -2/27. What is the biggest value in 1/4, a, 4, -1/3?
4
Let g = -256 + 255.6. Which is the second biggest value? (a) 2/7 (b) -7 (c) 5 (d) g
a
Let p be (-532)/693 + 36/66. What is the third smallest value in p, 42, -2/3, 1?
1
Suppose -o + 12 - 4 = 0. Let z = -1 + 13. Let n = z - o. Which is the biggest value? (a) -1/10 (b) n (c) 2/7
b
Let k = -9 + 4. Let p = 6 - 4. Which is the second smallest value? (a) p (b) -0.4 (c) k
b
Let z = 0.0195 + 0.2805. What is the fourth biggest value in 0.2, 0.6, z, -3?
-3
Suppose 112*p = 116*p. What is the third smallest value in p, -20, -1/7, 0.4?
p
Suppose -2*x + 18 = -8*x. Let d be (8/x - -2)*9/(-21). Suppose 4 = -4*u, -k + 3 = 3*k + u. Which is the third smallest value? (a) d (b) 3 (c) k
b
Let v = 7 - 8. Let w = -382.1 + 382. What is the third smallest value in w, v, 1/31?
1/31
Let z = 0.68 + -0.98. Let y = -2 - 1. Let k = y + 2.6. What is the third smallest value in z, 1/8, k?
1/8
Let g = -1360 - -1359.6. Which is the second biggest value? (a) g (b) -23 (c) 3
a
Let i = 81 + -95. Let k = -8 - -5. Which is the third biggest value? (a) -2 (b) i (c) k
b
Suppose -3*m = -m + 8. Let x = 35 - 32. Let l = x + -2.7. Which is the third biggest value? (a) 1/3 (b) m (c) l
b
Let l = -1338 - -1341. Which is the biggest value? (a) -10 (b) 2/17 (c) l (d) -0.2
c
Let r = -188 + 192. Let q = 1 - 3/4. Let c = 7 - 4. What is the third smallest value in r, c, q?
r
Let o(z) = -5*z + 21. Suppose -1 = 2*f - 11. Let l be o(f). Which is the fourth biggest value? (a) 0.4 (b) 0.05 (c) 0.5 (d) l
d
Let p = 6.5 - 4. Let m = p + -2.1. Let k(n) = n + 8. Let z be k(-8). Which is the biggest value? (a) m (b) z (c) 1/2
c
Let y = 97.0565 + -0.0565. Which is the third biggest value? (a) 5/4 (b) -5/3 (c) y
b
Let k = -2/1251 - 4994/6255. Suppose -v = 2*h + 1, 5*h + 61 = 4*v - 0*v. Let s = v - 28/3. Which is the second biggest value? (a) -2/9 (b) s (c) k
b
Let p = 0.8 + -1.1. Let s = -185 + 180. What is the second biggest value in p, 3, -3, s?
p
Let j = 138.71 - -2.29. Let t = j + -141.1. Let s = 0.2 - 0.2. What is the second smallest value in t, -3/5, s?
t
Let w = -46.8 - -47. Which is the third biggest value? (a) w
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 552*a
Suppose -k - 3*p = -3579, -5*p = 6*k - 3*k - 10737. What is the third derivative of -25*w**6 + k*w**2 - 18*w**6 - 3504*w**2 wrt w?
-5160*w**3
Let s be ((-2)/4)/(6 - (-37)/(-6)). Find the second derivative of 31*u**3 - 11*u**3 + 34*u**s + 7 + 16*u**3 + 2*u wrt u.
420*u
Let x be (-326)/(-9) - (-10)/(-45). Suppose -x*s = -39*s + 45. Differentiate -12 + 39*r**4 - s*r**4 + 1 with respect to r.
96*r**3
Let m(x) be the second derivative of 51*x**7/7 - x**5/10 - 435*x**4/4 - 895*x. What is the third derivative of m(c) wrt c?
18360*c**2 - 12
Let a(p) = 37*p - 7. Let k be a(1). What is the third derivative of k*z**3 + 33*z**3 + 7*z**2 - 112*z**3 wrt z?
-294
Let n(x) be the second derivative of 0 + 12*x + 0*x**7 + 8/3*x**4 + 1/8*x**8 + 0*x**6 + 0*x**3 + 0*x**2 + 0*x**5. What is the third derivative of n(h) wrt h?
840*h**3
Differentiate -337 - 394 + 75*f**4 - 1010 - 244 + 459 wrt f.
300*f**3
Let l = 14 + -12. Suppose 33 = l*u + 29. Find the second derivative of 2*w - 15*w + 10*w**2 + 4*w**u - 6*w**2 wrt w.
16
Suppose -33*f + 22*f + 110 = 0. Find the second derivative of -f*c + 68*c - 137*c**4 + 99*c**4 + 2 - c**2 wrt c.
-456*c**2 - 2
Let t(z) be the third derivative of 4729*z**6/120 + 275*z**4/4 + 2*z**2 + 138*z - 9. What is the second derivative of t(x) wrt x?
28374*x
Let b(s) be the first derivative of -14348*s**5/5 + 1362*s**2 + 11590. Find the second derivative of b(t) wrt t.
-172176*t**2
Let x(r) be the second derivative of -759*r**4/2 + 733*r**2 + 704*r - 2. What is the first derivative of x(a) wrt a?
-9108*a
What is the second derivative of i - 166 - 8*i**2 - 168 + 22*i**2 - 110*i**2 wrt i?
-192
Find the third derivative of -6*l**3 + l**4 + 6*l**3 + 955*l**2 + 40*l**3 - 3*l**4 + 9*l**3 wrt l.
-48*l + 294
Suppose 3*x + 84516 = 2*z, -7729 + 134505 = 3*z - 4*x. Differentiate -46 - z*w - 9 + 42211*w wrt w.
-53
What is the second derivative of -1009*z - 1658*z + 1339*z**3 - 5302 + 5302 wrt z?
8034*z
Let x(q) be the second derivative of 3223*q**5/20 + 502*q**2 + 1913*q. Differentiate x(k) with respect to k.
9669*k**2
Let y = -271 + 279. Find the third derivative of b**2 - 26*b**3 + 2*b**5 - y + 7*b**2 + 8 wrt b.
120*b**2 - 156
Suppose -2*i - 3*l = 127, -3*l = -i - 5*l - 64. Let u = -49 - i. Differentiate 3*k + u - 12*k + 9*k - 15*k**4 with respect to k.
-60*k**3
Let s(h) be the third derivative of -361*h**9/252 - h**8/84 + 3717*h**5/20 - 2*h**2 - 601*h + 1. What is the third derivative of s(x) wrt x?
-86640*x**3 - 240*x**2
Suppose -5*n - 1013 = -3*r + 408, -n = -3*r + 1429. Find the first derivative of -945*o + r*o + 470*o - 43 + 7*o**3 wrt o.
21*o**2 + 2
Let z(a) = 2*a**3 + 2*a**2 - a - 9. Let k be z(-3). Let m = k - -49. What is the second derivative of 13*t**3 - 7*t - 13*t - m*t wrt t?
78*t
Suppose -4*x - 9 = 5*f, x - 7 = 3*f + 5*x. Let s(n) = -105*n - 144. Let q(c) = -c - 1. Let z(k) = f*s(k) - 2*q(k). Differentiate z(o) with respect to o.
107
Let z(l) = l**2 + 4*l + 1. Let y be z(-4). Let j(p) = 2*p. Let a be j(y). Find the third derivative of -9*m**3 - 76*m**a + 54*m**2 - 19*m**3 wrt m.
-168
Suppose 2*l + 10 = g, 4*g - l = 16 + 24. What is the second derivative of 16*x**5 - 20*x - 61*x - 12*x - 44*x**5 + g*x wrt x?
-560*x**3
Let j(p) = -1117*p**3 - 2866*p + 9. Let w(s) = 558*s**3 + 1443*s - 4. Let f(x) = -4*j(x) - 9*w(x). Find the second derivative of f(t) wrt t.
-3324*t
Let m(a) = -3188*a**5 - 6*a**3 - 1783*a**2 + 4*a. Let w(k) = -k**5 + 3*k**3 + k**2 - 2*k. Let z(f) = m(f) + 2*w(f). What is the third derivative of z(d) wrt d?
-191400*d**2
Let j(l) = -4*l + 20. Let t be j(5). Let k be 4 - (t + (0 - -2)). Find the second derivative of -c**2 + 5*c + 9*c - 17*c**2 - 3*c**k wrt c.
-42
Suppose -f - 2 + 6 = 0. Find the first derivative of -4*x**f - 72*x**4 - 19 - 11*x**4 wrt x.
-348*x**3
Let b = -428 + 433. Find the third derivative of 25*o**2 - 127*o**2 - 8*o**2 - 140*o**b wrt o.
-8400*o**2
Find the third derivative of -4544*w**3 - 4996*w**3 + 29*w**2 + 1 + 11220*w**3 wrt w.
10080
Let o(i) = 9*i - 41. Let j be o(5). Differentiate -141*v**4 - 166062 + 165970 - 2*v**j wrt v.
-572*v**3
Let k(o) = -2000*o - 9160. Let z(a) = -4011*a - 18331. Let t(m) = -7*k(m) + 4*z(m). Differentiate t(d) wrt d.
-2044
Let f = 239 - 231. Let q(u) be the first derivative of -f - 16/5*u**5 + 0*u**4 + 1/3*u**3 + 0*u**2 + 0*u. Find the third derivative of q(w) wrt w.
-384*w
Let s(t) be the first derivative of -30*t**2 + 19/5*t**5 + 20 + 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
t as big as 17?
False
Is -1/3202 smaller than 0?
True
Does -2/1175 = 0?
False
Which is smaller: 1306 or -1?
-1
Which is smaller: 19038/17 or 1121?
19038/17
Is 5908 != 5910?
True
Are 23476 and 23475 unequal?
True
Is -16.4 at most -1.5?
True
Which is smaller: -2 or 0.075?
-2
Are 23 and 26 equal?
False
Is 0.35 < 0?
False
Is 164/11 at most 14?
False
Which is smaller: -1 or 19/131?
-1
Is 0.2 less than or equal to 1.1?
True
Is -314 greater than -314?
False
Which is bigger: 1 or 0.21424?
1
Is 162 != 2?
True
Which is smaller: -54267 or -54268?
-54268
Which is smaller: -11204 or 0.1?
-11204
Which is bigger: -13/1811 or -1?
-13/1811
Which is greater: -147 or 2/5?
2/5
Is -629 smaller than -630?
False
Is 4/7 > -0.42?
True
Which is bigger: 49562 or 49561?
49562
Is 2/1145 bigger than -1?
True
Which is smaller: 3 or -0.03?
-0.03
Which is smaller: 3 or 189?
3
Which is smaller: 12/29 or 4?
12/29
Is 57/13 less than 4?
False
Which is greater: 1429 or 1428?
1429
Is 15 smaller than 2.1?
False
Which is smaller: -13/3 or -3?
-13/3
Which is smaller: -1 or -2/105?
-1
Is 12 > 1/2?
True
Is 246 bigger than 246?
False
Do -7/88 and 1 have the same value?
False
Is -1 less than -74?
False
Is 214 at most 214?
True
Which is greater: 357 or 356?
357
Which is bigger: 0 or 4/81?
4/81
Which is smaller: -0.0502 or 15/8?
-0.0502
Is -621 < -618?
True
Which is smaller: 0.03 or 656?
0.03
Is -136 > -73?
False
Which is smaller: -27/19 or -1?
-27/19
Is 73 > 431/6?
True
Which is greater: -63 or -1/4?
-1/4
Are -1502/3 and -502 equal?
False
Is -19 bigger than 6?
False
Which is smaller: -159 or -201?
-201
Is -17/2 less than 13?
True
Is 5707 not equal to 5707?
False
Is -1.813 at most 4?
True
Is 11948 <= 11948?
True
Which is bigger: 1/2 or 0.0277?
1/2
Do -23 and -195/8 have the same value?
False
Are 46 and -1/14 non-equal?
True
Do 1 and -1.4 have the same value?
False
Is 1026 > 1026?
False
Is 551 at most 536?
False
Which is smaller: -37.995 or -1/4?
-37.995
Which is smaller: -0.1 or -4.74?
-4.74
Which is smaller: 2/6961 or -1?
-1
Is 0 less than -1/4361?
False
Are -1/13036 and -1 non-equal?
True
Is 901 greater than 921?
False
Which is smaller: -1/4427 or 0.1?
-1/4427
Which is bigger: 4 or 9?
9
Is 70/193 at most as big as 1?
True
Do 0.4 and -426 have different values?
True
Is -151/24 smaller than 0.1?
True
Is 785 at least as big as 785?
True
Do -2 and -83/36 have the same value?
False
Which is greater: 14 or 91/6?
91/6
Which is bigger: -1 or 0.5157?
0.5157
Which is smaller: -7 or 687?
-7
Which is bigger: -20 or -31?
-20
Is 164 less than 494/3?
True
Is -15/131 != -2?
True
Which is bigger: -21 or -102/5?
-102/5
Which is smaller: 4 or 6?
4
Which is greater: 16668 or 16669?
16669
Which is greater: 207/89 or 0?
207/89
Is -2076 at most as big as -2075?
True
Which is greater: 0 or -60/2377?
0
Which is greater: 2.11 or -0.4?
2.11
Which is smaller: 2/2133 or 1?
2/2133
Is 0 less than 117/154?
True
Which is greater: -141 or 3/13?
3/13
Which is greater: -1 or -7/10352?
-7/10352
Are 644 and 651 nonequal?
True
Is 1/6144 at most 0?
False
Is 40/517 greater than 0?
True
Are -4/287 and -1 unequal?
True
Is -2/36333 less than or equal to -1?
False
Which is smaller: -0.00921 or 0.04?
-0.00921
Is -569 != -571?
True
Which is smaller: 991/4 or -0.2?
-0.2
Is 6815 != 6813?
True
Which is smaller: 1 or 1/26976?
1/26976
Is 1 greater than 2/1253?
True
Which is bigger: -1 or 6/1223?
6/1223
Which is bigger: -2/9 or 1?
1
Is 4/369 less than or equal to 0?
False
Which is greater: -63 or 0.03?
0.03
Which is smaller: -14 or -9?
-14
Which is bigger: -163 or -162?
-162
Is 326 bigger than 129?
True
Which is greater: 1/182 or 10.6?
10.6
Which is smaller: 253/5 or 52?
253/5
Is 1029 >= 1029?
True
Are 31729 and 31728 unequal?
True
Is 1/878 smaller than 0?
False
Which is smaller: 4 or -4?
-4
Which is bigger: 0.02 or 16/7?
16/7
Is -179/19 bigger than -9?
False
Is 0 greater than or equal to -16/13?
True
Is -1216 greater than or equal to -1221?
True
Is 1 less than or equal to 1/12955?
False
Is 0.4 smaller than 0?
False
Which is smaller: -14380 or -14381?
-14381
Which is greater: -2/9 or 709?
709
Is 1178 at least 1178?
True
Is 23/5 smaller than 1/4?
False
Is 58761 at most 58760?
False
Which is smaller: 41 or 42?
41
Which is smaller: -1 or 2/163261?
-1
Is -5/13397 bigger than -1?
True
Which is bigger: 50 or 47?
50
Is 160 > 1?
True
Which is bigger: 783 or 1/11?
783
Which is smaller: -1/2 or 27?
-1/2
Is -262/23 greater than -12?
True
Which is bigger: 0 or -46/59?
0
Is -5 at least as big as 1?
False
Is 135 less than or equal to 1/2?
False
Which is smaller: -196 or -197?
-197
Which is smaller: 95/8 or 13?
95/8
Is 3/61 less than or equal to 0?
False
Is -4/19267 equal to 1?
False
Is -3/4 >= -243?
True
Which is bigger: 1/3336 or -1?
1/3336
Which is smaller: -6 or 160?
-6
Do 3961 and 3963 have different values?
True
Is -2281/7 at most -325?
True
Which is smaller: -186 or -185?
-186
Are -33 and -33 nonequal?
False
Which is bigger: -7/403 or -1?
|
{
"pile_set_name": "DM Mathematics"
}
|
s the third root of 368102617 to the nearest integer?
717
What is the cube root of 1278210436 to the nearest integer?
1085
What is the third root of 496036983 to the nearest integer?
792
What is the square root of 169430383 to the nearest integer?
13017
What is 2248257820 to the power of 1/5, to the nearest integer?
74
What is the fifth root of 691862808 to the nearest integer?
59
What is 312573478 to the power of 1/4, to the nearest integer?
133
What is the sixth root of 2411749639 to the nearest integer?
37
What is 2047938689 to the power of 1/2, to the nearest integer?
45254
What is the cube root of 33824800 to the nearest integer?
323
What is 317676920 to the power of 1/2, to the nearest integer?
17823
What is 171206369 to the power of 1/2, to the nearest integer?
13085
What is 262189687 to the power of 1/2, to the nearest integer?
16192
What is 7808068132 to the power of 1/10, to the nearest integer?
10
What is the square root of 804479365 to the nearest integer?
28363
What is the cube root of 13736358 to the nearest integer?
239
What is 3207969723 to the power of 1/2, to the nearest integer?
56639
What is 54974608 to the power of 1/2, to the nearest integer?
7414
What is the cube root of 5496313845 to the nearest integer?
1765
What is the square root of 108487345 to the nearest integer?
10416
What is the fourth root of 309334950 to the nearest integer?
133
What is 24088597 to the power of 1/2, to the nearest integer?
4908
What is the square root of 1291218161 to the nearest integer?
35934
What is 3045851264 to the power of 1/9, to the nearest integer?
11
What is the fourth root of 71323450 to the nearest integer?
92
What is 14948129 to the power of 1/10, to the nearest integer?
5
What is the square root of 2458962788 to the nearest integer?
49588
What is 1669264952 to the power of 1/2, to the nearest integer?
40857
What is the cube root of 2453757 to the nearest integer?
135
What is the third root of 37244194 to the nearest integer?
334
What is the seventh root of 10578434 to the nearest integer?
10
What is the tenth root of 1732821227 to the nearest integer?
8
What is the third root of 23760713 to the nearest integer?
287
What is 3148807685 to the power of 1/3, to the nearest integer?
1466
What is 44656184 to the power of 1/3, to the nearest integer?
355
What is the third root of 5029514858 to the nearest integer?
1713
What is the square root of 423479904 to the nearest integer?
20579
What is the cube root of 1990024055 to the nearest integer?
1258
What is 39205648 to the power of 1/2, to the nearest integer?
6261
What is the eighth root of 225765376 to the nearest integer?
11
What is the eighth root of 311129284 to the nearest integer?
12
What is the fourth root of 1659567 to the nearest integer?
36
What is the square root of 199110474 to the nearest integer?
14111
What is 634079243 to the power of 1/2, to the nearest integer?
25181
What is the cube root of 760457874 to the nearest integer?
913
What is the fifth root of 479709814 to the nearest integer?
54
What is 16377766 to the power of 1/2, to the nearest integer?
4047
What is the third root of 54394632 to the nearest integer?
379
What is 1031189788 to the power of 1/2, to the nearest integer?
32112
What is the cube root of 42422425 to the nearest integer?
349
What is 283117418 to the power of 1/8, to the nearest integer?
11
What is the cube root of 183452217 to the nearest integer?
568
What is the third root of 60774342 to the nearest integer?
393
What is the cube root of 376368043 to the nearest integer?
722
What is the fifth root of 1493009220 to the nearest integer?
68
What is 1213462435 to the power of 1/3, to the nearest integer?
1067
What is the fourth root of 2688543 to the nearest integer?
40
What is 292055821 to the power of 1/3, to the nearest integer?
663
What is 140265326 to the power of 1/10, to the nearest integer?
7
What is the square root of 48406711 to the nearest integer?
6957
What is the seventh root of 1486684292 to the nearest integer?
20
What is 44580022 to the power of 1/7, to the nearest integer?
12
What is the square root of 375556404 to the nearest integer?
19379
What is the cube root of 228372856 to the nearest integer?
611
What is 417120541 to the power of 1/3, to the nearest integer?
747
What is 534303947 to the power of 1/9, to the nearest integer?
9
What is the ninth root of 296324408 to the nearest integer?
9
What is 4354431831 to the power of 1/2, to the nearest integer?
65988
What is the cube root of 171769128 to the nearest integer?
556
What is 4342498977 to the power of 1/3, to the nearest integer?
1631
What is 603694476 to the power of 1/3, to the nearest integer?
845
What is the fourth root of 2935393616 to the nearest integer?
233
What is the ninth root of 46729129 to the nearest integer?
7
What is the square root of 1235100501 to the nearest integer?
35144
What is 74350519 to the power of 1/3, to the nearest integer?
420
What is the square root of 2479747781 to the nearest integer?
49797
What is the cube root of 444305358 to the nearest integer?
763
What is the third root of 4267933746 to the nearest integer?
1622
What is the sixth root of 357039876 to the nearest integer?
27
What is 482640583 to the power of 1/2, to the nearest integer?
21969
What is the square root of 271668565 to the nearest integer?
16482
What is the eighth root of 200978800 to the nearest integer?
11
What is the cube root of 1437915399 to the nearest integer?
1129
What is 231446787 to the power of 1/2, to the nearest integer?
15213
What is the tenth root of 17543895 to the nearest integer?
5
What is 463651021 to the power of 1/8, to the nearest integer?
12
What is the cube root of 96077660 to the nearest integer?
458
What is the third root of 1456954323 to the nearest integer?
1134
What is the third root of 3936153210 to the nearest integer?
1579
What is the third root of 10531436 to the nearest integer?
219
What is the square root of 19038884 to the nearest integer?
4363
What is 6014030 to the power of 1/5, to the nearest integer?
23
What is 149999650 to the power of 1/2, to the nearest integer?
12247
What is the tenth root of 147653572 to the nearest integer?
7
What is the tenth root of 24296199 to the nearest integer?
5
What is the square root of 37757760 to the nearest integer?
6145
What is the cube root of 449414979 to the nearest integer?
766
What is the square root of 342575122 to the nearest integer?
18509
What is the seventh root of 21724567 to the nearest integer?
11
What is 5550036295 to the power of 1/2, to the nearest integer?
74499
What is 45737279 to the power of 1/10, to the nearest integer?
6
What is the square root of 306982402 to the nearest integer?
17521
What is 996289163 to the power of 1/2, to the nearest integer?
31564
What is 62105588 to the power of 1/3, to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
05 to the nearest integer?
366
What is the eighth root of 188666350 to the nearest integer?
11
What is the square root of 834487796 to the nearest integer?
28888
What is 69890257 to the power of 1/2, to the nearest integer?
8360
What is the cube root of 28675444 to the nearest integer?
306
What is the third root of 4462128624 to the nearest integer?
1646
What is the third root of 294135808 to the nearest integer?
665
What is 223657945 to the power of 1/10, to the nearest integer?
7
What is the sixth root of 82971393 to the nearest integer?
21
What is 4687304623 to the power of 1/3, to the nearest integer?
1674
What is the cube root of 1640512706 to the nearest integer?
1179
What is the square root of 116444780 to the nearest integer?
10791
What is 14899833 to the power of 1/6, to the nearest integer?
16
What is 175358530 to the power of 1/3, to the nearest integer?
560
What is 709946654 to the power of 1/2, to the nearest integer?
26645
What is 24592984 to the power of 1/5, to the nearest integer?
30
What is the cube root of 37619351 to the nearest integer?
335
What is the square root of 70534973 to the nearest integer?
8399
What is the third root of 484320368 to the nearest integer?
785
What is 2150283044 to the power of 1/3, to the nearest integer?
1291
What is the eighth root of 40603827 to the nearest integer?
9
What is the square root of 7038516968 to the nearest integer?
83896
What is the square root of 577906599 to the nearest integer?
24040
What is 35565539 to the power of 1/7, to the nearest integer?
12
What is the tenth root of 22571560 to the nearest integer?
5
What is 17939004 to the power of 1/3, to the nearest integer?
262
What is the third root of 1160272899 to the nearest integer?
1051
What is the third root of 3348521 to the nearest integer?
150
What is 2989831436 to the power of 1/2, to the nearest integer?
54679
What is the square root of 252470001 to the nearest integer?
15889
What is the seventh root of 173084816 to the nearest integer?
15
What is 249578509 to the power of 1/2, to the nearest integer?
15798
What is the third root of 820037312 to the nearest integer?
936
What is 492162946 to the power of 1/7, to the nearest integer?
17
What is the seventh root of 224155964 to the nearest integer?
16
What is 135580435 to the power of 1/6, to the nearest integer?
23
What is 1718254907 to the power of 1/2, to the nearest integer?
41452
What is the square root of 12800904 to the nearest integer?
3578
What is 6651428 to the power of 1/6, to the nearest integer?
14
What is the fifth root of 334443745 to the nearest integer?
51
What is the fourth root of 510815302 to the nearest integer?
150
What is the third root of 597739842 to the nearest integer?
842
What is the cube root of 46343862 to the nearest integer?
359
What is the third root of 158879991 to the nearest integer?
542
What is 163512527 to the power of 1/7, to the nearest integer?
15
What is the fifth root of 85703419 to the nearest integer?
39
What is 7467763068 to the power of 1/8, to the nearest integer?
17
What is 1094755610 to the power of 1/3, to the nearest integer?
1031
What is the cube root of 3197073797 to the nearest integer?
1473
What is the third root of 5965428 to the nearest integer?
181
What is 335400436 to the power of 1/2, to the nearest integer?
18314
What is the tenth root of 10095437 to the nearest integer?
5
What is the seventh root of 38918884 to the nearest integer?
12
What is 7325478587 to the power of 1/3, to the nearest integer?
1942
What is 1864397568 to the power of 1/2, to the nearest integer?
43179
What is the seventh root of 349939553 to the nearest integer?
17
What is the square root of 602663216 to the nearest integer?
24549
What is 234626812 to the power of 1/2, to the nearest integer?
15318
What is 57597007 to the power of 1/2, to the nearest integer?
7589
What is the ninth root of 444546466 to the nearest integer?
9
What is the ninth root of 32884427 to the nearest integer?
7
What is the seventh root of 813508691 to the nearest integer?
19
What is the seventh root of 36502202 to the nearest integer?
12
What is 343701183 to the power of 1/5, to the nearest integer?
51
What is the third root of 11937133 to the nearest integer?
229
What is the fourth root of 590115299 to the nearest integer?
156
What is 79738847 to the power of 1/3, to the nearest integer?
430
What is 615107437 to the power of 1/10, to the nearest integer?
8
What is 161692704 to the power of 1/2, to the nearest integer?
12716
What is the square root of 557033402 to the nearest integer?
23602
What is 324076045 to the power of 1/2, to the nearest integer?
18002
What is 1177219316 to the power of 1/2, to the nearest integer?
34311
What is 2467300748 to the power of 1/10, to the nearest integer?
9
What is the cube root of 33851572 to the nearest integer?
323
What is the square root of 6455570 to the nearest integer?
2541
What is the tenth root of 996017941 to the nearest integer?
8
What is the seventh root of 200263357 to the nearest integer?
15
What is 1686685121 to the power of 1/6, to the nearest integer?
35
What is the third root of 2471932290 to the nearest integer?
1352
What is the ninth root of 404884746 to the nearest integer?
9
What is the square root of 3558787355 to the nearest integer?
59656
What is 205681119 to the power of 1/2, to the nearest integer?
14342
What is the ninth root of 248740406 to the nearest integer?
9
What is 1564977879 to the power of 1/8, to the nearest integer?
14
What is the fifth root of 984313514 to the nearest integer?
63
What is 2388185 to the power of 1/2, to the nearest integer?
1545
What is the tenth root of 1579075 to the nearest integer?
4
What is the ninth root of 1877613388 to the nearest integer?
11
What is 855509424 to the power of 1/2, to the nearest integer?
29249
What is 425865572 to the power of 1/2, to the nearest integer?
20637
What is 6353291036 to the power of 1/6, to the nearest integer?
43
What is the eighth root of 5912216195 to the nearest integer?
17
What is the square root of 451969727 to the nearest integer?
21260
What is the seventh root of 101390163 to the nearest integer?
14
What is 75335419 to the power of 1/2, to the nearest integer?
8680
What is 40453118 to the power of 1/8, to the nearest integer?
9
What is 6876656948 to the power of 1/8, to the nearest integer?
17
What is 193155590 to the power of 1/8, to the nearest integer?
11
What is 51661387 to the power of 1/3, to the nearest integer?
372
What is the cube root of 108041952 to the nearest integer?
476
What is 1006016235 to the power of 1/2, to the nearest integer?
31718
What is the fourth root of 547922313 to the nearest integer?
153
What is the ninth root of 1642961627 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
t -294, 5, 68, 1 in increasing order.
-294, 1, 5, 68
Sort 3, -13, -9, -312, 4 in increasing order.
-312, -13, -9, 3, 4
Sort 63, 5, -1, -387.
-387, -1, 5, 63
Put -4, 18, 56, 15 in increasing order.
-4, 15, 18, 56
Put 1/2, 64, 3714 in descending order.
3714, 64, 1/2
Sort -0.4, 1/6, -1, -0.235.
-1, -0.4, -0.235, 1/6
Sort -10, 0.1, 0.72, -27, 4/7 in increasing order.
-27, -10, 0.1, 4/7, 0.72
Put -40, -9, 1, 16/3 in decreasing order.
16/3, 1, -9, -40
Sort 11456, 2, 5, 31, 0 in descending order.
11456, 31, 5, 2, 0
Put -2, -24, -13, -1, 8 in increasing order.
-24, -13, -2, -1, 8
Sort -5, -28.5, -0.5, -4, -11, -1/5 in decreasing order.
-1/5, -0.5, -4, -5, -11, -28.5
Sort 2/19, 0.5, 0.4, 4, -0.01 in decreasing order.
4, 0.5, 0.4, 2/19, -0.01
Put -2/13, -0.4, -169/2 in increasing order.
-169/2, -0.4, -2/13
Put -4, -1, 2418, -7 in decreasing order.
2418, -1, -4, -7
Sort -128, 1.8, 2, 0.4, 1/2 in descending order.
2, 1.8, 1/2, 0.4, -128
Sort -45, -4, 5, 77, 3 in decreasing order.
77, 5, 3, -4, -45
Sort 509, 3, 1 in ascending order.
1, 3, 509
Sort 4, 0.17, 17, 2/17, 143.
2/17, 0.17, 4, 17, 143
Sort -78/7, -2, 2, 0.06, -3/4 in decreasing order.
2, 0.06, -3/4, -2, -78/7
Put 6863, -1, -6 in ascending order.
-6, -1, 6863
Put 10/387, 1, 11 in increasing order.
10/387, 1, 11
Put -2, 5, -97, -67 in descending order.
5, -2, -67, -97
Sort -31, -4, 1072/9, 3, 2 in increasing order.
-31, -4, 2, 3, 1072/9
Put -1.3, 0.1, 1/3, 0, -0.27 in descending order.
1/3, 0.1, 0, -0.27, -1.3
Sort -7, 1, -1, 0, 105, -2 in descending order.
105, 1, 0, -1, -2, -7
Sort -11, 1, 65 in ascending order.
-11, 1, 65
Put 6253, -2, -1, 16 in decreasing order.
6253, 16, -1, -2
Put 1, 0.2, -0.1, -0.2, 80, -0.3 in ascending order.
-0.3, -0.2, -0.1, 0.2, 1, 80
Sort 0, -6/23, -3, 509/3 in descending order.
509/3, 0, -6/23, -3
Put -0.2, 34354, -5 in decreasing order.
34354, -0.2, -5
Put 3, 5, -5, -3, 15 in descending order.
15, 5, 3, -3, -5
Put -1, 277, -49 in decreasing order.
277, -1, -49
Put -2.2925, 4, 2/7 in ascending order.
-2.2925, 2/7, 4
Sort 5, -10, -32, 2 in decreasing order.
5, 2, -10, -32
Sort -18, -14, -6, 2 in increasing order.
-18, -14, -6, 2
Sort 1, 22, -3, -4, 34, -146.
-146, -4, -3, 1, 22, 34
Put -5, 10, 297, -24, -1, -4 in increasing order.
-24, -5, -4, -1, 10, 297
Put -229, 1101, -1, -4 in decreasing order.
1101, -1, -4, -229
Put 1/5, -479.4, -1, -2/5, 12 in decreasing order.
12, 1/5, -2/5, -1, -479.4
Put 1, 0.2, -1891 in descending order.
1, 0.2, -1891
Put 2, 6, 1439, -3 in increasing order.
-3, 2, 6, 1439
Sort 4/3, 0.18, -2/227 in descending order.
4/3, 0.18, -2/227
Put -5, 13, -2628, 0, -4, 4 in decreasing order.
13, 4, 0, -4, -5, -2628
Put 4, -0.1, -2, 5, -11, -27 in descending order.
5, 4, -0.1, -2, -11, -27
Sort -122, 7, 1517 in descending order.
1517, 7, -122
Put -7, -123, -3, 13 in descending order.
13, -3, -7, -123
Sort -4, -1865, -59 in increasing order.
-1865, -59, -4
Sort 2197, -5/8, -4.
-4, -5/8, 2197
Put 5, -5, -951, -3, 0 in increasing order.
-951, -5, -3, 0, 5
Sort -3/5, -209, 0, 3/2, -97, 8 in decreasing order.
8, 3/2, 0, -3/5, -97, -209
Sort -0.2, 4/27, -0.5, 2.2, 1/2.
-0.5, -0.2, 4/27, 1/2, 2.2
Sort 6, -1, 4, -5211 in descending order.
6, 4, -1, -5211
Put -2, 2/9, -0.1465, 11 in descending order.
11, 2/9, -0.1465, -2
Sort -4617, 8, 1.
-4617, 1, 8
Sort -36, -1/131, 1, 0.5 in descending order.
1, 0.5, -1/131, -36
Sort -3/7, -0.1, -139, 18/7.
-139, -3/7, -0.1, 18/7
Put -1/5, -2, -44, -0.4, 0.14 in descending order.
0.14, -1/5, -0.4, -2, -44
Put -3, -11, -10 in descending order.
-3, -10, -11
Sort 14, -222, -38.
-222, -38, 14
Sort 0.393, 1/7, 1 in ascending order.
1/7, 0.393, 1
Put 2, 1/3, 0.03, 401 in descending order.
401, 2, 1/3, 0.03
Sort 5, -32, -1, 4, 0, 15 in ascending order.
-32, -1, 0, 4, 5, 15
Put 75, 5, 2, 0, -8 in ascending order.
-8, 0, 2, 5, 75
Put 3, 2, -2/13, -0.5, -6124, 4 in descending order.
4, 3, 2, -2/13, -0.5, -6124
Put 1361, -2, 12, 5 in decreasing order.
1361, 12, 5, -2
Put -1632, 1/4, -5, 2.9 in descending order.
2.9, 1/4, -5, -16
|
{
"pile_set_name": "DM Mathematics"
}
|
84921 - m. Round y to the nearest one million.
10000000
Suppose c + 4*c - 5*n - 15 = 0, 0 = -3*n. Suppose c*d - 7294528 = -64792903. Let l = 32966125 + d. What is l rounded to the nearest one million?
14000000
Let s = -24451 + 24471.022. Let w = s - 0.022. Let f = w - 19.928. What is f rounded to 2 decimal places?
0.07
Let z = -794042.00052 + 794067. Let r = -25 + z. Round r to 4 dps.
-0.0005
Let z = -1.11902 + 1.12. What is z rounded to 4 decimal places?
0.001
Let f = 7 + -6.95. What is f rounded to two decimal places?
0.05
Suppose -800000 = a + 2*n, 6*a = 3*a - 4*n - 2400000. What is a rounded to the nearest one million?
-1000000
Let o = -146 - -145.9999764. What is o rounded to 6 dps?
-0.000024
Suppose 64736637 + 31263413 = 5*l. Suppose 5*v = 2*v - g + l, -4*v + 3*g + 25600009 = 0. Let n be v + (1 - (2 + 2)). Round n to the nearest 1000000.
6000000
Let n be (8398/(-6))/(2/(-6)) + 1. Round n to the nearest 1000.
4000
Let c = 151 + -151.0069. Round c to 3 dps.
-0.007
Let v = -81.39 + 82. Let g = v + -0.01. What is g rounded to one dp?
0.6
Let c = -71.99986 + 72. Round c to 4 decimal places.
0.0001
Let j be (-10)/(-4)*4/5. Suppose p = j*r - 121995, -4*p + 61025 = r + p. Round r to the nearest 10000.
60000
Let o = -326404.174 + 476.174. Let s = 325928.1000002 + o. Let y = s + -0.1. What is y rounded to seven decimal places?
0.0000002
Let j = -38757 + 11457. What is j rounded to the nearest 1000?
-27000
Let p(f) = -2 + 21*f**3 + 1 + 14*f**3 - 2*f**3. Let k be p(1). Let c = 12 - k. Round c to the nearest ten.
-20
Suppose -4*i - 25 = 5*a, -4*i + 2*a + 10 = -9*i. Suppose w - 2*w = i. Suppose -5*y - 8084364 + 1884364 = w. Round y to the nearest one hundred thousand.
-1200000
Let o = -83.8 - 20.2. Let p = o + 103.99999898. What is p rounded to seven dps?
-0.000001
Let a(r) = -42*r - 1. Let l be a(2). Let d = 144 + l. What is d rounded to the nearest ten?
60
Suppose -2*a + 3*a = 5881274. Let q = a + -3081274. Round q to the nearest one million.
3000000
Let p = -475 - -326. Let u = p + 148.37. What is u rounded to one dp?
-0.6
Let t be (38/6)/(5/(-30)). Let b be ((-6)/(-5))/((-2)/(-30)). Let w = t + b. What is w rounded to the nearest 10?
-20
Let d = -18.00000022 + 18. Round d to 7 dps.
-0.0000002
Let a be (282/54 - 5) + 677694/27. What is a rounded to the nearest 1000?
25000
Let p be 6250/(1/(-160)*12/120). Round p to the nearest 1000000.
-10000000
Let b = -162.00702 - -162. Round b to three dps.
-0.007
Let h = 20 - 19.2. Let c = 46146 + -46146.800048. Let g = h + c. What is g rounded to 5 dps?
-0.00005
Let l = 111 + -158. Let b = l - -91. Let k = 43.99934 - b. What is k rounded to 4 dps?
-0.0007
Let k = -14.73 - -15. Let c = k + -28.27. Let i = c + 28.0000152. Round i to six decimal places.
0.000015
Let n = -0.026000754 - -0.026. What is n rounded to 7 decimal places?
-0.0000008
Let o(n) = 6*n + 2. Let c be 3*(-1)/(-6)*0. Let s be (-2 - -3) + c + 1. Let v be o(s). Round v to the nearest ten.
10
Let x = 2513.946 + 26787. Let v = 29251 - x. Let j = -50 - v. What is j rounded to two decimal places?
-0.05
Let k = 2284.99317 + -11.654. Let n = 2403.3398 - k. Let v = n + -130. Round v to 4 decimal places.
0.0006
Suppose -p = -2*p. Let h be -5 + 7 + 0/(-1). Suppose -3*w = -5*o - 45, -4*w - h*o + 76 + 10 = p. Round w to the nearest 100.
0
Let m(t) = 2*t**3 - 3*t**2 + 17*t**3 + 5*t**2 + 12*t - 3. Let d be m(-9). Round d to the nearest one thousand.
-14000
Let y = 15 + -15.000011. Round y to five dps.
-0.00001
Let x = -5631630.880062262 - 72.120557738. Let o = x + 5631651. Let z = -52 - o. Round z to 4 decimal places.
0.0006
Let y = -25 + 24.99997. What is y rounded to four decimal places?
0
Let k(m) = 1226*m**3 + 3*m**2 + 4*m - 2. Let c be k(-5). Suppose 207595 = 3*s - y, -2*s + 69185 = -s + 3*y. Let o = s + c. Round o to the nearest ten thousand.
-80000
Let v = -1.2 + 2.1. Let d = 0.32 - v. Let i = d + 0.91. Round i to one dp.
0.3
Let v = 2 + 1. Suppose -v*p + 4*g = 9299980, -2*g = -3*g - 5. What is p rounded to the nearest one million?
-3000000
Let w = 96 - 55. Let a = -206828553.9999926 + 206828595. Let z = a - w. What is z rounded to 6 decimal places?
0.000007
Let u = -4859 + 1947. Suppose 3*q - 3*s - 15633 = -4*s, 3*q = 2*s + 15642. Let j = u + q. What is j rounded to the nearest one thousand?
2000
Let j = 15.1 + -13. What is j rounded to zero dps?
2
Let c = 1714.5 - 189.5. Let k = -1521.993 + c. Let x = k - 3. What is x rounded to three decimal places?
0.007
Suppose h - r - 191 = -h, 3*r = -9. What is h rounded to the nearest ten?
90
Let v = 6.785 + -7. What is v rounded to 1 decimal place?
-0.2
Suppose t = -1 - 5. Let f be ((-13100)/t)/(4/(-2400)). What is f rounded to the nearest one hundred thousand?
-1300000
Let i = 776.2 - 715. Round i to the nearest ten.
60
Suppose 0*k - 56 = 4*k. Round k to the nearest integer.
-14
Let h = 256.0444 - 256. What is h rounded to two dps?
0.04
Suppose -4*l - 2*x = 5319992, 7*l - 2*x = 10*l + 3989992. What is l rounded to the nearest 100000?
-1300000
Let x = -258.3 + 271. Let j = x + -
|
{
"pile_set_name": "DM Mathematics"
}
|
o the power of 1/5, to the nearest integer?
6
What is 671 to the power of 1/10, to the nearest integer?
2
What is 37164 to the power of 1/3, to the nearest integer?
33
What is the sixth root of 8870 to the nearest integer?
5
What is the eighth root of 2075 to the nearest integer?
3
What is 1905 to the power of 1/7, to the nearest integer?
3
What is 5343 to the power of 1/7, to the nearest integer?
3
What is the square root of 94461 to the nearest integer?
307
What is 30854 to the power of 1/3, to the nearest integer?
31
What is 48802 to the power of 1/10, to the nearest integer?
3
What is 6126 to the power of 1/8, to the nearest integer?
3
What is 1266 to the power of 1/5, to the nearest integer?
4
What is 1579 to the power of 1/7, to the nearest integer?
3
What is the square root of 325 to the nearest integer?
18
What is 457 to the power of 1/2, to the nearest integer?
21
What is 8603 to the power of 1/2, to the nearest integer?
93
What is 1622 to the power of 1/3, to the nearest integer?
12
What is the ninth root of 3184 to the nearest integer?
2
What is the tenth root of 28179 to the nearest integer?
3
What is the third root of 1213 to the nearest integer?
11
What is the seventh root of 3534 to the nearest integer?
3
What is 8528 to the power of 1/2, to the nearest integer?
92
What is 784 to the power of 1/10, to the nearest integer?
2
What is the third root of 4128 to the nearest integer?
16
What is the square root of 5466 to the nearest integer?
74
What is 28816 to the power of 1/2, to the nearest integer?
170
What is the eighth root of 624 to the nearest integer?
2
What is 8537 to the power of 1/3, to the nearest integer?
20
What is 18208 to the power of 1/2, to the nearest integer?
135
What is the square root of 4028 to the nearest integer?
63
What is the cube root of 1744 to the nearest integer?
12
What is the tenth root of 11412 to the nearest integer?
3
What is the seventh root of 30117 to the nearest integer?
4
What is the third root of 125707 to the nearest integer?
50
What is 1601 to the power of 1/2, to the nearest integer?
40
What is 398 to the power of 1/3, to the nearest integer?
7
What is the third root of 791 to the nearest integer?
9
What is the square root of 25209 to the nearest integer?
159
What is 2651 to the power of 1/2, to the nearest integer?
51
What is 833 to the power of 1/3, to the nearest integer?
9
What is the third root of 17764 to the nearest integer?
26
What is 2231 to the power of 1/3, to the nearest integer?
13
What is 3519 to the power of 1/2, to the nearest integer?
59
What is 3569 to the power of 1/9, to the nearest integer?
2
What is 7969 to the power of 1/4, to the nearest integer?
9
What is the third root of 738 to the nearest integer?
9
What is the seventh root of 332 to the nearest integer?
2
What is the square root of 16 to the nearest integer?
4
What is 4 to the power of 1/4, to the nearest integer?
1
What is the square root of 1564 to the nearest integer?
40
What is the square root of 108666 to the nearest integer?
330
What is the square root of 1731 to the nearest integer?
42
What is 4280 to the power of 1/3, to the nearest integer?
16
What is 1911 to the power of 1/3, to the nearest integer?
12
What is the square root of 341 to the nearest integer?
18
What is the sixth root of 2660 to the nearest integer?
4
What is 18823 to the power of 1/2, to the nearest integer?
137
What is 103298 to the power of 1/2, to the nearest integer?
321
What is 5721 to the power of 1/3, to the nearest integer?
18
What is 165 to the power of 1/2, to the nearest integer?
13
What is the square root of 5379 to the nearest integer?
73
What is the tenth root of 1678 to the nearest integer?
2
What is 372 to the power of 1/10, to the nearest integer?
2
What is the square root of 7586 to the nearest integer?
87
What is the eighth root of 633 to the nearest integer?
2
What is 11755 to the power of 1/2, to the nearest integer?
108
What is the square root of 4587 to the nearest integer?
68
What is the eighth root of 30694 to the nearest integer?
4
What is the eighth root of 10386 to the nearest integer?
3
What is the cube root of 13775 to the nearest integer?
24
What is the square root of 10727 to the nearest integer?
104
What is the square root of 1934 to the nearest integer?
44
What is 14003 to the power of 1/3, to the nearest integer?
24
What is 17625 to the power of 1/6, to the nearest integer?
5
What is the fifth root of 575 to the nearest integer?
4
What is 1975 to the power of 1/8, to the nearest integer?
3
What is the square root of 2514 to the nearest integer?
50
What is the third root of 3070 to the nearest integer?
15
What is the third root of 23210 to the nearest integer?
29
What is 1187 to the power of 1/2, to the nearest integer?
34
What is the cube root of 105282 to the nearest integer?
47
What is 863 to the power of 1/2, to the nearest integer?
29
What is the square root of 6133 to the nearest integer?
78
What is 614 to the power of 1/8, to the nearest integer?
2
What is 4440 to the power of 1/2, to the nearest integer?
67
What is the square root of 8278 to the nearest integer?
91
What is the cube root of 43644 to the nearest integer?
35
What is 709 to the power of 1/3, to the nearest integer?
9
What is the cube root of 2106 to the nearest integer?
13
What is 57634 to the power of 1/3, to the nearest integer?
39
What is the ninth root of 5870 to the nearest integer?
3
What is the tenth root of 20873 to the nearest integer?
3
What is the tenth root of 826 to the nearest integer?
2
What is the square root of 41896 to the nearest integer?
205
What is the cube root of 81156 to the nearest integer?
43
What is the tenth root of 87299 to the nearest integer?
3
What is 2795 to the power of 1/5, to the nearest integer?
5
What is the square root of 37149 to the nearest integer?
193
What is the sixth root of 2729 to the nearest integer?
4
What is 24769 to the power of 1/6, to the nearest integer?
5
What is the third root of 6941 to the nearest integer?
19
What is 108064 to the power of 1/2, to the nearest integer?
329
What is 8333 to the power of 1/5, to the nearest integer?
6
What is the cube root of 69 to the nearest integer?
4
What is the cube root of 664 to the nearest integer?
9
What is 54346 to the power of 1/3, to the nearest integer?
38
What is the square root of 5088 to the nearest integer?
71
What is 2985 to the power of 1/5, to the nearest integer?
5
What is 2433 to the power of 1/4, to the nearest integer?
7
What is 133836 to the power of 1/7, to the nearest integer?
5
What is the square root of 15254 to the nearest integer?
124
What is 947 to the power of 1/2, to the nearest integer?
31
What is 70989 to the power of 1/3, to the nearest integer?
41
What is the tenth root of 20015 to the nearest integer?
3
What is the fifth root of 23861 to the nearest integer?
8
What is the cube root of 402 to
|
{
"pile_set_name": "DM Mathematics"
}
|
1. What is the closest to l in z, 1/10, -3?
1/10
Let n = 0.3 + -0.3. Let v(m) = m**2 + 8*m + 10. Let a be v(-5). What is the closest to n in -2, a, 0.2?
0.2
Let i = -0.21 + 0.3. Let q = 3.09 - i. Which is the closest to 0? (a) -2/11 (b) q (c) -0.1
c
Let z = -446/3801 - -4/181. Let v = -1.5 - -1. Let p = v - -1. Which is the closest to 2/9? (a) 2/9 (b) z (c) p
a
Let d = 1 - 0. Let f = -0.055 - 1.945. Which is the closest to 0.4? (a) f (b) d (c) 0.5
c
Let s = -4.3 + 4.7. Which is the nearest to 1? (a) 0.01 (b) s (c) -1/5
b
Suppose 4*i = 4*w - 20, 3*w - i = -2*w + 9. Let f = 0.15 - -0.05. Which is the closest to w? (a) f (b) 0 (c) -1
a
Let w(t) = t**3 - 4*t**2 + 4*t - 6. Let v be w(3). What is the nearest to -2 in v, 0.5, -0.02?
v
Let s = -31 + 33. Which is the closest to -1? (a) -1/8 (b) 0.1 (c) s
a
Suppose -o = 2*s + 2 - 6, 4*o = -16. Let u be ((-1)/(-2))/(1/s). Let t = -22/7 - -37/14. Which is the closest to 1? (a) t (b) u (c) -1/4
b
Suppose 0 = -3*f - 5*x - 5, -3*x = 5*f + 19. Let k(i) = -2*i - 11. Let v be k(f). Let o = -81 - -566/7. Which is the nearest to v? (a) -0.5 (b) -4 (c) o
a
Let x = -1.2 - -1. Let v = x + 0.3. Let o = 1.08 - 0.08. Which is the nearest to o? (a) v (b) -0.2 (c) 1/7
c
Let t = 3 - 1. Let x be (10/(-6))/((-2)/6). Let u = 5 - x. Which is the closest to u? (a) t (b) -5 (c) 0.3
c
Suppose 20 = 4*z, -7 = 3*h - z + 1. Let q = 8 + -10. Let k = -7 - q. Which is the nearest to h? (a) -0.3 (b) k (c) -0.2
a
Let z = -6 + 5.9. Let q = -1.9 + z. What is the nearest to 0 in q, 0.1, -1/2?
0.1
Let x = 25 - 24.6. Let h = 0.2 + 0. Which is the nearest to 0.1? (a) x (b) 0.3 (c) h
c
Let q = -11 + 10. Which is the closest to q? (a) -2 (b) 0.1 (c) -2/3
c
Let q = 0.03 - -3.97. Let a = -49/12 - -10/3. What is the closest to -0.1 in q, a, -2/9?
-2/9
Let s = 12 + -10. What is the nearest to s in -2/3, -2/13, -3?
-2/13
Let p = 230/3 + -76. Let n = -7 + 8. Which is the nearest to p? (a) -0.1 (b) n (c) 4
b
Let m(p) = p**3 + 7*p**2 - 9*p - 6. Let y(f) = -f**3 + 5*f**2 - 6*f. Let k be y(4). Let i be m(k). Which is the closest to 1/3? (a) 4 (b) i (c) -1
c
Let k = 9 + -4. Let x = -33 + 36. Suppose p = -2*p. Which is the nearest to p? (a) k (b) -1 (c) x
b
Suppose b = 4*r - 5*r - 3, -5*r = 2*b + 24. Let u be ((-3)/(-9))/(10/r). What is the nearest to u in -1/5, 0.4, 2/7?
-1/5
Let u = -2 + 3. Suppose 3*k + 5 = 2*k. Let v = -4.2 + 4.1. Which is the closest to u? (a) v (b) k (c) 4
a
Let t be 92/(-161)*((-35)/(-18))/(-5). Let y = 2 - 1. What is the nearest to -1 in 2/29, y, t?
2/29
Let q = -7 - -6.99. Which is the closest to 0.1? (a) -1/11 (b) 0.3 (c) q
c
Let v = -139/946 + -3/86. Which is the closest to -3/4? (a) v (b) 1 (c) 4
a
Let i = 4 + -9. Let o be (6/(-10))/((-3)/(-2)). Let d = 20 + -98/5. What is the closest to o in d, 0.3, i?
0.3
Let z = -83/44 - -18/11. Let m = 3.82 - -0.18. Let w be 2/6*(-3)/5. What is the closest to z in m, w, -5?
w
Let y be 0/1*1/(-2). Let n be -3 + 12/30 + 6/10. Which is the closest to y? (a) 1/9 (b) -3 (c) n
a
Let c be 0/5 + 2/6. What is the nearest to c in 2, -0.1, 0.4?
0.4
Let f = -0.008 - -0.208. Which is the closest to -1/2? (a) 0.3 (b) -5 (c) f
c
Let n = -0.178 + 0.078. Which is the closest to n? (a) -5 (b) 1 (c) 2/7
c
Let r = -4/17 + -14/85. What is the nearest to r in 2, 0.27, 4/7?
0.27
Let a(i) = i - 6. Let x be a(8). Let b = 1.4 + 1.6. What is the closest to -2/5 in x, 4/7, b?
4/7
Let t = -11 + 8.2. Let o = t - -3. Let d be (10/4)/1*32/80. What is the nearest to d in o, 0.5, -1/4?
0.5
Let n = 32 + -32.4. What is the nearest to -2 in n, 1, -0.3?
n
Let c = 1854.9 + -1855. Let s = 0.6 + -0.1. Let a = 1.5 + s. What is the closest to 0 in c, -3/7, a?
c
Let k = 18 - 14. What is the closest to 1.7 in k, -0.4, 5/3?
5/3
Let i be (-7)/(-7) + 1 + -1. What is the nearest to 1/7 in -2, 0, i?
0
Let f = -38 + 37. Let t be 0 + 1 + (-4)/5. Which is the closest to f? (a) -0.3 (b) 0 (c) t
a
Let o = -50 + 50.1. Which is the nearest to o? (a) 1.4
|
{
"pile_set_name": "DM Mathematics"
}
|
of -3*k**4*w - 2*k**4 + 1549*k**3*w + 2*k**3 - 12*k**2 + 6*k*w + 2*k + 17 wrt k?
-72*k*w - 48*k + 9294*w + 12
Find the third derivative of -5868*y**5 + 8028*y**2 wrt y.
-352080*y**2
What is the third derivative of -48*o**6 - 2*o**5 - 60*o**2 wrt o?
-5760*o**3 - 120*o**2
Find the second derivative of -42*y**3 + 4*y - 2 wrt y.
-252*y
What is the derivative of -2*a**4 + 2462*a**3 + 12854?
-8*a**3 + 7386*a**2
What is the third derivative of -8*i**3*n**2*w - 17*i**3*n**2 - 6*i**2*n**2*w - i**2*n - 8*i*w + 2*n**2 wrt i?
-48*n**2*w - 102*n**2
Find the third derivative of 189*o**4 - 8*o**2 - 39.
4536*o
Find the third derivative of 211*i**3*u**3 - 3*i**3*u**2 + 9*i*u**2 + u wrt u.
1266*i**3
What is the second derivative of -14*q**4*z**3 + 2*q**4 - 3*q**2 + 3*q*z**3 - 43*q wrt q?
-168*q**2*z**3 + 24*q**2 - 6
Differentiate -145*g**3 - 145 wrt g.
-435*g**2
What is the first derivative of 6*f*u - 28*f - 635*u wrt f?
6*u - 28
What is the second derivative of -2*d**3*t**5 - 151*d**3*t**4 - 8*d**3*t - 6*d**3 wrt t?
-40*d**3*t**3 - 1812*d**3*t**2
Find the third derivative of -354*c**4*i + c**2*i + 10*i wrt c.
-8496*c*i
Differentiate -6*f*h*l + f*h + 2*f + 2*h*l**2 + 13*l**2 with respect to h.
-6*f*l + f + 2*l**2
Find the third derivative of 391*q**2*u**4 + 2*q**2*u**2 - 23*q*u**2 + 2*u wrt u.
9384*q**2*u
Find the first derivative of -32*d**4*t + 2*d**3*t**3 - 79*t**3 wrt d.
-128*d**3*t + 6*d**2*t**3
What is the second derivative of -j**3*w**2 - 5*j**3*w + 360*w**4 + 15*w wrt w?
-2*j**3 + 4320*w**2
Differentiate -2467*f*u + 18*u + 13 wrt f.
-2467*u
Differentiate 15*s**2*y**4 - 5*s**2*y**3 - 133*s**2 - s with respect to y.
60*s**2*y**3 - 15*s**2*y**2
What is the derivative of -26*w**2*y - 1542*w**2 wrt y?
-26*w**2
Differentiate 7*g**3*q**3 - 7*g**3*q + 668*g**3 with respect to q.
21*g**3*q**2 - 7*g**3
Find the third derivative of 2106*o**3 - 3094*o**2 wrt o.
12636
What is the derivative of -j**2*v - 913*j*v + 175*v + 1 wrt j?
-2*j*v - 913*v
Find the second derivative of -17343*h**2 - 11866*h wrt h.
-34686
What is the first derivative of -3888*i**3 + 15594?
-11664*i**2
Find the second derivative of 13*n**5 - 27*n - 4 wrt n.
260*n**3
What is the second derivative of -26*i**4 + 29*i + 4?
-312*i**2
What is the derivative of 1003*n**3*t**2 - 397*t**2 wrt n?
3009*n**2*t**2
What is the third derivative of 1732*j**5 - j**4 + 141*j**2 + 17 wrt j?
103920*j**2 - 24*j
What is the first derivative of -13*u*v - 235*u + 42*v**3 wrt v?
-13*u + 126*v**2
Find the third derivative of 2670*p**5 + p**2 + 7.
160200*p**2
What is the second derivative of 259*u**2 + 10*u wrt u?
518
What is the third derivative of 1093*w**5 + 2*w**2 + 1900*w?
65580*w**2
What is the second derivative of -3*d*n**2*w - d*n**2 - 70*d*n*w*y**2 + d*y**2 + 13*d*y - 3*n**2*w*y**2 - n*w wrt y?
-140*d*n*w + 2*d - 6*n**2*w
Differentiate -5*i**3*n - 2*i**3 - 181*n**2 - 14 wrt n.
-5*i**3 - 362*n
Find the third derivative of q**4*v**2 - 177*q**4*v - 2*q**3*v**2 - 31*q**2 - 6*q*v**2 wrt q.
24*q*v**2 - 4248*q*v - 12*v**2
Differentiate -41*a**3*y + 17770*a**3 - 45*a*y with respect to y.
-41*a**3 - 45*a
What is the second derivative of 1654*f**2*l + f**2 + 3*f*l - 4*f - 7 wrt f?
3308*l + 2
Find the second derivative of 2*t*v**2*x**3 + 5*t*v**2*x + 2*t*v + 5*t + v**2*x - 8*x**3 wrt v.
4*t*x**3 + 10*t*x + 2*x
Find the second derivative of 9*g**3*w - 4*g**3 + 5*g**2*w + 6*g**2 - 17046*g*w + 2*g wrt g.
54*g*w - 24*g + 10*w + 12
What is the third derivative of 2*c**3*v**4 + c**3*v + 1122*c**3 - 7035*c**2*v**4 - c*v**2 + 2 wrt v?
48*c**3*v - 168840*c**2*v
What is the derivative of -2*l**3*u**3 + 166*l**3 - 5*l*u**3 wrt u?
-6*l**3*u**2 - 15*l*u**2
Differentiate 245*d*m - 2*d - m**4 - 101 with respect to m.
245*d - 4*m**3
What is the second derivative of 229*u**2 + 69*u - 3?
458
What is the first derivative of -168*x**3 + 121 wrt x?
-504*x**2
What is the second derivative of -261*c*y**2 - 7*c*y + 25*y wrt y?
-522*c
Find the third derivative of 2206*b**3*x - 1090*b**2*x - b*x wrt b.
13236*x
What is the second derivative of -179*n**4 - 437*n - 1 wrt n?
-2148*n**2
Find the first derivative of b**3*k**2 + 170*b**3*k + 65*b**3 + 4*b**2*k**2 - b**2 + 3*b wrt k.
2*b**3*k + 170*
|
{
"pile_set_name": "DM Mathematics"
}
|
/19 - 2 - 75/171
-1/3
What is 2/3 + 6*(-77)/(-198)?
3
What is the value of 12/8*(-40)/(-45)?
4/3
What is the value of -6 + (5 - 1) + 1 + -1?
-2
Evaluate ((-12)/(-84)*0)/2.
0
What is (7/(-105))/((-13)/(-156))?
-4/5
What is 3 - (36/6 + -5) - 5?
-3
(2 - 2)/(1 - -3)
0
What is -10*(-7)/(-14) + (-4 - 1)?
-10
Evaluate 26/60 + (-3)/9.
1/10
Calculate (-161)/(-138) + 1/(-6).
1
Evaluate -3 - (-70)/(-63)*(-15)/6.
-2/9
What is (-6)/4*(2304/27)/(-16)?
8
Evaluate 3 + -3*(-28)/(-12).
-4
What is the value of (-10)/(-4 + 6) + 6?
1
What is ((-1)/7)/(-1)*-3?
-3/7
Evaluate (-10)/3*21/(-14) + -1.
4
((-4)/5)/(2808/(-780))
2/9
What is ((-45)/7 - -6) + 4/(-7)?
-1
Calculate (-455)/(-350) - (-2)/10.
3/2
Evaluate 2*(-4)/(-8) - 0.
1
What is 1/(-2) - (-990)/924?
4/7
What is (-168)/(-30) - 3/5?
5
What is the value of (-1330)/315 - (8/(-9))/4?
-4
Evaluate (-3)/(-9)*(2 - 5).
-1
What is ((-6)/(-10))/((-9)/5)?
-1/3
What is -6*(-2)/(-16)*32/(-32)?
3/4
What is 312/52 - 3*4?
-6
Evaluate ((-624)/(-2080))/(-2*6/(-20)).
1/2
What is ((-12)/9)/((-70)/(-105))?
-2
Calculate (-74)/14 - (-18)/63.
-5
What is the value of (-3)/(-7) - 770/882?
-4/9
Calculate -66 - -63 - 11/1*-1.
8
Calculate 21 + -14 + -13 + (4 - 5).
-7
What is (8/(-408))/(((-3)/18)/(-1))?
-2/17
((-9)/(-108))/((-1)/(-9))
3/4
Evaluate 258/(-126) - -3 - 12/42.
2/3
What is the value of (-84)/(-30) - 4/(-20)?
3
What is 6 + -1 + (-136)/34?
1
(-150)/180 - 2/(-4)
-1/3
Calculate 30/(-30)*(-1 + 1).
0
Evaluate 30/25*(-10)/4*-1.
3
1/1*(-7 - -7)
0
Evaluate (8 - 6/3) + -17 + 14.
3
Evaluate 234/36*2/2 - 5.
3/2
Calculate 20/7 - 7/(-49).
3
6 + -1*2 - (-14 + 22)
-4
Evaluate 4/(-1)*1/26.
-2/13
5/((-72)/252 + (-5)/7)
-5
What is the value of ((-87)/(-12))/29*8/13?
2/13
Evaluate 11/2 + 1*1/2.
6
(-72)/11 - (-10 - (-728)/77)
-6
What is 0/(4 - 8/4)?
0
What is ((-15)/(-20))/((567/(-24))/3)?
-2/21
Evaluate 18/16*(-11 - 93/(-9)).
-3/4
What is the value of ((-8)/18)/((-20)/10)?
2/9
Evaluate -4*3/(-8)*2.
3
What is (-9)/(-27)*(-6)/(-1)?
2
What is 30/(-10)*(-1 - 0)?
3
What is the value of 1/12 + (-4 - 17/(-4))?
1/3
((-3 - -2)/(-2)*0)/2
0
Calculate (-1 + 1 - -4)*-1.
-4
What is the value of (1 - (-9)/(-10))/(4/32)?
4/5
Evaluate 3 + 4 - 9/((-63)/(-35)).
2
What is the value of 46/(-368) - 2/(-16)?
0
What is the value of (8/(-10))/(168/60)?
-2/7
Calculate (2/(-4) - -1)*(-36 + 36).
0
-3 - (-10 + (4 - -1))
2
Evaluate (24/14 - -3) + -5.
-2/7
Evaluate (24/(-32))/(4*(-9)/(-32)).
-2/3
(-10)/8 - (45/20)/(-9)
-1
3/(-30)*(4 + 15/(-5))
-1/10
Calculate 138/161*(11/(-3) + -1).
-4
What is the value of 25/5 - ((-176)/(-92) + 3)?
2/23
What is the value of (100/26 - 2) + 8/52?
2
(-16)/(-14) - 288/(-336)
2
What is -5 + (-13 + 4)*-1?
4
Calculate ((-2)/(-4))/(91/(-546)).
-3
Evaluate 1/((-5)/(-5)*-1 + 0).
-1
What is (1*(-2)/(-7))/(-4 + 6)?
1/7
Calculate ((-2)/(-12))/(-3 + (-21)/(-6)).
1/3
(-3)/(-8) - 16/64
1/8
(-10 - 0)/((-144)/(-72))
-5
Evaluate 2376/405 + 6/45.
6
What is (-16)/(-16) - 1/4?
3/4
What is (-15)/6*(-64)/(-80)?
-2
1/(-1) + (756/30)/14
4/5
Calculate (-5)/(200/(-7)) + 9/(-24).
-1/5
Evaluate 39/(-2)*(-54)/117.
9
What is (-12)/21 - (5 + -6)?
3/7
(-6)/(-3)*(-126)/(-36)*-1
-7
Calculate -1 - 2 - (-68)/(-40)*-2.
2/5
Evaluate (-304)/(-90) - 3 - (-6)/(-10).
-2/9
What is (-5)/10*(-1)/6*4?
1/3
What is the value of 2300/400 - ((-5)/4 - -1)?
6
Calculate 901/(-153) - (-7 + 1).
1/9
1/(1/(-2))*(-2)/(-4)
-1
(-172)/112 - 10*(-5)/40
-2/7
What is ((9 - 18) + 8)*0?
0
Calculate (12/21)/(11/(462/228)).
2/19
What is (-4)/102*-3 + 0/(-252)?
2/17
What is (96/(-30))/(32/(-40))?
4
41/(-3) + (-172 - -183)
-8/3
(-24)/((-27)/9) + (-12)/3
4
What is ((-10)/(-325))/(9/(-45))?
-2/13
What is the value of (-2)/(2/(-2) + 3)?
-1
Evaluate (-3)/12 + (91/7 - 12).
3/4
What is (98/196)/((-26)/(-4))?
1/13
(1 - 2)*(-69 - -74)
-5
(-34)/51*(-18)/84
1/7
Calculate ((-76)/266)/(16/(-84)).
3/2
Evaluate -4 + (90/(-105))/(12/(-56)).
0
What is the value of 2/(4/(-6)) - 2?
-5
Evaluate ((-1)/5)/(3 - (-55)/(-20)).
-4/5
((-1)/2)/(-1)*(-9)/(-9)
1/2
Evaluate 13 - (-16)/((-64)/36).
4
What is (-17)/((-663)/240) + 2/(-13)?
6
Calculate (459/(-85) - -5) + (-38)/(-70).
1/7
What is the value of ((-705)/(-70) - 10)/((-1)/(-2))?
1/7
Calculate 5/(-25)*(-30)/8.
3/4
15/(-9) - 70/(-63)*6
5
((-2)/2)/(-2 - 35/(-15))
-3
Calculate (-5 - 0/8)/1.
-5
What is the value of (-48)/22 - (-4)/22?
-2
(330/24 - 13) + 50/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
)
-1/5
Evaluate -1*(-3)/1 + 1/(-1).
2
Calculate 3 - 63/36*4.
-4
What is the value of 116/(-1305)*(-4)/((-8)/(-5))?
2/9
What is ((-90)/(-120))/((9/28)/(-3))?
-7
What is the value of -5 + -76*10/(-160)?
-1/4
What is ((-1)/2)/((-1)/10)?
5
Evaluate (33/(-110))/(3/(-5)).
1/2
6 + 1 - 756/63
-5
Evaluate 5/2*(-88)/165.
-4/3
Evaluate (42 - 21) + 6 + -20.
7
What is (-10)/(-40)*32/(-20)?
-2/5
What is the value of (0 - 5) + -9 + 288/20?
2/5
What is the value of -5 - 0 - (21 + -24)?
-2
Calculate 3 - (-33)/22*(-4)/6.
2
Evaluate -2 - 4 - (-12 - -8).
-2
5*(6 + (-99)/15)
-3
Evaluate 900/126 - (-2)/(-14).
7
44/52 - (3 + 1 - 3)
-2/13
4/(-6) + 40/15
2
(6/(-10))/(-1 - (-12)/20)
3/2
What is 39/52*8/(-66)?
-1/11
Evaluate (-7)/70*(-15)/(-2).
-3/4
10 + -9 + (2/(-2) - 2)
-2
What is 2 + (-4 - -1)/(-3)?
3
Evaluate 51/(-34) + (-43)/(-26).
2/13
What is ((-6)/16)/((-19)/152)?
3
(-2)/15 + (-832)/(-390)
2
Calculate (4/54)/(26/(-39)).
-1/9
Evaluate (-230)/(-345)*(-3)/2.
-1
What is ((-2)/4)/(8/(-48))?
3
Calculate (-4)/(-14)*(2 - 92/60).
2/15
(-8)/1 + 4 + 8
4
(2/3)/((-28)/(-6))
1/7
Evaluate (-182)/42 + (64/(-12))/(-4).
-3
Evaluate (-4)/(-60)*-3 + (-18)/10.
-2
What is (-3)/15*(-2 - (-24)/9)?
-2/15
(80/140)/(14/49)
2
(-34 + 35)/(2/(-4))
-2
(((-77)/(-112))/(-11))/(1/6)
-3/8
3/2 + (-147)/28 + 4
1/4
(-3 + (-16)/(-6))/(4 - 2)
-1/6
Calculate 9/2*(-1008)/567.
-8
What is 6*(-10)/4*10/50?
-3
(-6)/(-18)*2 + (-4)/(-30)
4/5
((-814)/(-90) - 9)/(1/(-3))
-2/15
Evaluate (30/25)/((-1)/5).
-6
Calculate (3 - ((-63)/4)/(-7))/(-3).
-1/4
What is 0 - 3 - (-7 + 88/20)?
-2/5
Evaluate 6/(-4)*64/24.
-4
What is the value of 1/(30/(-4)) - 532/60?
-9
Evaluate (8/(-160)*1)/((-4)/(-10)).
-1/8
Calculate ((-2)/(-5))/(7/(1225/(-28))).
-5/2
Calculate 2 + 0*(-2)/12.
2
2/(-6) + (-12)/(-9)
1
What is the value of (1 - -6)*((-126)/9 + 13)?
-7
What is the value of 33/(-55) + 39/15?
2
What is (-1)/(-7 - (-1)/((-16)/(-116)))?
-4
(-4)/(-18)*(-171)/437
-2/23
Calculate -3 + 1 - (3 - 4).
-1
What is (28/21 - (-2)/(-1)) + 0?
-2/3
Calculate (-4)/120*6*25.
-5
(-3)/(72/(-66)) - (-6)/(-4)
5/4
What is the value of 2 - (-6 - 0)/3?
4
What is the value of 2/(2/5)*4336/(-2710)?
-8
1645/525 - (1 - (-26)/(-30))
3
What is the value of (26/(-10) + 2)/(4/20)?
-3
What is the value of -4 - (0 + 3)*-2?
2
Evaluate 4 - (-4 - (3 - 5 - 6)).
0
(-1 - (-12)/10)*(-35)/56
-1/8
(-102)/(-108) + 15/(-18)
1/9
Calculate -1*(-1 + 42/48).
1/8
Evaluate 154/(-21) + (-6)/9.
-8
Evaluate 14/(-4)*(-21)/147*-1.
-1/2
What is the value of 7 - ((-55)/3)/((-5)/3)?
-4
Calculate 6/(-1) - (-70)/8 - 3.
-1/4
What is the value of 4 - (-42)/(-10) - 9/(-20)?
1/4
((-3)/(-9))/((-146)/(-12) - 11)
2/7
(-14)/35 - 504/(-60)
8
Calculate 4/10*(-20)/(-8).
1
Evaluate (9/(-7))/((-18)/42).
3
What is the value of (-49)/(-84) - ((-2)/(-8) - 0)?
1/3
Calculate (-7)/(7/6) - -3.
-3
Calculate (-14)/1*(-14)/49.
4
Calculate 5/((-15)/2)*(-15)/70.
1/7
Evaluate (-66)/(-198)*(2 - 1).
1/3
(-26)/(-7) - (3 + 2 + -1)
-2/7
Calculate 27/390*-5 - (-2)/4.
2/13
What is 17/119*(-7)/2?
-1/2
What is the value of 11/((-308)/48) - 1*-2?
2/7
What is the value of 55/(-105) - 48/(-56)?
1/3
(-6)/12 + (-10)/(-20)
0
What is (-69)/(-30) + (12 - -2)/(-7)?
3/10
Evaluate 7070/(-404)*8/(-14).
10
What is (9/6)/((-18)/(-4) - 3)?
1
Evaluate (2/(-5))/(171/(-15) - -12).
-2/3
(-75)/72 - (-3)/8
-2/3
Evaluate (19/(-1083))/((-2)/12).
2/19
What is (3/(-6) - -1)*32/12?
4/3
What is (-325)/(-65) - (0 + 6)?
-1
88/(-33) + 3 + (-4)/6
-1/3
(-1)/(14/4) - 180/(-385)
2/11
What is 4/14*((-26)/(-4) + -3)?
1
Calculate (-2)/(-15)*(9 - 12).
-2/5
Calculate (-10)/(-30) - (0 + (-1)/(-2)).
-1/6
What is 4*((-3)/27)/((-2)/3)?
2/3
What is the value of ((-11)/33)/(44/(-24))?
2/11
What is (-51)/68*(-2)/(-3)?
-1/2
Calculate 3/(-10 - 8/(-2) - 1).
-3/7
(-2)/(2/(-4) + (3 - 3))
4
What is (6/7)/(-7 - 144/(-21))?
-6
Calculate 4 + 6 - (11 + 2).
-3
What is the value of ((-60)/(-18) - 3)*-3?
-1
What is (3 - 58/20)*(-55)/66?
-1/12
What is -6 + 170/15 - (2 + 3)?
1/3
Calculate (-4 - 63/(-28))*2/28.
-1/8
What is the value of (-3)/20 + (-2)/(-5)?
1/4
Calculate -1*(3 - (-24)/(-4)) + 0.
3
Evaluate ((-4)/(-6))/(5 - (-885)/(-180)).
8
Evaluate ((-3)/(-4))/(3/2).
1/2
Evaluate 2*(40 - 37)*1/6.
1
Calculate 92/1288 + 134/84.
5/3
What is the value of 0 + (-8)/(-10) + -1?
-1/5
What is the value of 2 - ((-5)/(-5
|
{
"pile_set_name": "DM Mathematics"
}
|
9 + -0.29. Suppose b - 3*b + 3 = -3*n, 0 = 4*n - b - 1. What is the smallest value in n, -4/5, j?
-4/5
Let i = 2318 + -2318. Let g be ((-3)/(-7))/((-3)/2). Which is the fourth smallest value? (a) i (b) -3/7 (c) g (d) 2
d
Suppose -x = 4*x + 25. Suppose 10*z - 24 = 7*z. Let r be 6/(-8)*z/10. What is the second biggest value in r, x, -2/5?
r
Let s = 127 - 86. Let i = 38 - s. What is the biggest value in -0.3, i, 2/15?
2/15
Let p = -90.165 - -90. Let u = p - -0.125. What is the second smallest value in u, -2/15, 1?
u
Let x = -1888 - -1887.9. Let u = 4 + -6. Which is the biggest value? (a) u (b) x (c) 2/3 (d) 5
d
Let z be 21/54 - (-1)/2. Let c = z - 41/36. Let b = -0.1 + 0.4. What is the smallest value in b, c, 0.05?
c
Suppose 29*u + 60 = -85. Which is the smallest value? (a) 0.3 (b) -2 (c) u (d) 4
c
Let k be 8/(-6)*180/(-96) + -1. Which is the third biggest value? (a) -4 (b) -2 (c) k
a
Let v be ((-3)/(-34))/(6/(-252)). Let r = -1163/323 - v. Which is the smallest value? (a) 0 (b) 2/9 (c) r
a
Let o = 2538 - 2531. What is the second smallest value in o, -0.29, -4/5, 0.2?
-0.29
Let y = -2/5733 - 11456/28665. Let b = -6 + 4. What is the third biggest value in b, y, 5?
b
Let r = -51/2 + 25. Let g = -73 + 66.3. Let p = g + 7. What is the second smallest value in p, r, 3?
p
Suppose 5 = -5*j, 0 = -2*o - 40*j + 43*j - 31. Which is the third smallest value? (a) -5 (b) 4/5 (c) o
b
Let q(p) = -p**3 - 14*p**2 + 77*p - 17. Let v be q(4). Let s = 3 - 3.3. Which is the fourth smallest value? (a) 1 (b) v (c) s (d) 2
b
Let u(k) = k**2 + 5*k + 4. Let h(g) = 3 + g**2 - g - 3. Let i(s) = -2*h(s) + u(s). Let x be i(8). Which is the second smallest value? (a) x (b) -1/3 (c) 1
b
Let i = -1 - -1. Let l = 8.57 - 4.57. Which is the second smallest value? (a) l (b) i (c) 2
c
Let y = -229 + 248. Let j = y - 16. Let i = 0.3 - 5.3. What is the biggest value in -1/2, j, i?
j
Suppose 572 - 590 = -6*o. Which is the second smallest value? (a) 1 (b) o (c) 8/5 (d) -2
a
Let m = -7281/4 + 1821. Let x be 4/1*2/12. Which is the second smallest value? (a) x (b) 1/4 (c) m (d) -0.2
b
Let k = -0.2 - 0. Suppose 23 = 5*p - 7. Let t be (80/150)/((-4)/p). Which is the second biggest value? (a) -5 (b) k (c) t
c
Suppose 6*v + 82 = 76. Let m(x) = x**2 - 2*x. Let s be m(1). Let q be -5 + 0 + (v - s). What is the second biggest value in 0, q, 0.2?
0
Let u be (-10)/(-6) - (-1 + 2). Let g = -8914.9 - -8915. Which is the second smallest value? (a) u (b) g (c) 1/3 (d) 5
c
Let r = 193 - 189. Which is the second smallest value? (a) r (b) -18 (c) -0.1
c
Let n = -0.846 - 10.154. Which is the third smallest value? (a) -0.1 (b) n (c) -7
a
Let c be (-22)/77 + (-26)/(-42). Let m = 2.3 - -0.7. What is the third biggest value in c, m, -2?
-2
Suppose -5*t + 389 = 3*n, -150 = -2*t + 3*n - 7*n. Let d = -74 + t. Which is the second smallest value? (a) d (b) -2 (c) 4
c
Let z = 209 + -240.6. Let u = z - -32. Let k = u - -4.6. Which is the third biggest value? (a) -4 (b) k (c) 0.1
a
Let a = 36 + -34. Let q be (a/(-16))/((-12)/16). What is the biggest value in -0.3, q, -1, 0.5?
0.5
Suppose -27*p = -22*p. What is the second biggest value in -109, p, 2?
p
Let c = 0.23 + -0.93. Let h = c + 0.7. Let l = -1 + 6. What is the second smallest value in h, l, 3?
3
Let l = 537 - 537.2. Which is the third smallest value? (a) -2/5 (b) 5 (c) -23 (d) l
d
Let r be 10/(-4)*(-138)/(-115). Let u be 2/r - 11/(-12). What is the third biggest value in -0.5, 0.3, u?
-0.5
Let v = 145/3 + -48. Let m = 365 + -371. Suppose 3*f - f + 4 = 0. Which is the third smallest value? (a) f (b) v (c) m
b
Let b be 14/(-60) + (-70)/(-525). What is the third smallest value in -1/3, b, -3, 3.5?
b
Let r = 13.27 - -0.53. Let x = 0.22 - -13.78. Let h = r - x. Which is the second smallest value? (a) -5 (b) 0.4 (c) h
c
Let s = 21.8 + -21.84. Which is the smallest value? (a) s (b) -8 (c) -0.2
b
Let t(o) = -2*o**2 - 12*o - 5. Let q be t(-5). Suppose 4*j - 2*m = 0, q*j + 2*m = -2*m + 26. Which is the third smallest value? (a) -2 (b) j (c) 0
b
Let p = -137 - -136.6. Let g be (-5)/(-4) + (1 - 2). Let u = -0.37 + 1.37. What is the third smallest value in g, p, u?
u
Let j = -833/3 + 281. Let r = 17/6 - j. Let v = -0.2 + -0.8. Which is the third biggest value? (a) r (b) v (c) -16
c
Let f be 10/(-35) + (32/14 - -3). Let d = -0.15 + 6.15. Let r = -5.6 + d. What is the biggest value in -3, f, r?
f
Let r be 105/12
|
{
"pile_set_name": "DM Mathematics"
}
|
List the prime factors of 2136/4*(4 - 3/1).
2, 3, 89
Let c(m) = 40*m. Let q be c(-5). Let i = q + 283. What are the prime factors of i?
83
Let q = 125 - 9. Suppose 5*u - a = 312, -u - q = -3*u - 4*a. What are the prime factors of u?
2, 31
Let l(u) be the third derivative of u**5/60 - u**4/8 + u**3 + 20*u**2. Let x(i) = i**2 + 5*i + 4. Let f be x(-5). List the prime factors of l(f).
2, 5
Let x(z) = z + 11. Suppose 4*u + 6*q - 2*q - 172 = 0, -2*u = -3*q - 96. Suppose 3*a + u = -2*a. What are the prime factors of x(a)?
2
Suppose s = 24 - 9. Suppose -3*m = -3*x, -3*x + 5*m = -10 - 0. Let r = x + s. What are the prime factors of r?
2, 5
Suppose -4*m + 2*m + k = -21, 2*m - 2*k - 22 = 0. Let q(i) be the second derivative of i**4/12 - 4*i**3/3 + 3*i**2/2 - 2*i. List the prime factors of q(m).
23
Let z(q) = 2*q**2 + 2*q - 1. Let b be z(1). Let o(u) = -u**2 + 4*u + 2. Let r be o(b). Suppose -r*n + 120 - 45 = 0. What are the prime factors of n?
3, 5
Suppose 7*f + 153 = -50. Let u = f + 31. Suppose -m = 0, u*m + 30 = 5*z - 2*m. List the prime factors of z.
2, 3
Let h(v) be the second derivative of v**5/20 - 5*v**4/12 - v**3/3 - 3*v**2/2 + 4*v. Let l be h(4). List the prime factors of (-2)/9 - 60/l.
2
Suppose 3*c - 18 = 30. Let p be (-5)/25 - c/(-5). Suppose 2*h - p*x - 53 = 74, -4*x = -2*h + 122. What are the prime factors of h?
71
Suppose -24 = -5*d - d. Suppose -5*k - d = -k. What are the prime factors of ((-4)/8)/(k/20)?
2, 5
Suppose -5*y + 2*i + 14976 = 0, 4*y - i - i - 11982 = 0. List the prime factors of y.
2, 3, 499
Let q = -307 - -812. List the prime factors of q.
5, 101
Suppose 0*f - 72 = -4*f. Let l = 85 - f. Let r = l + -30. What are the prime factors of r?
37
Let x(l) = l**3 - 21*l**2 + 21*l - 17. Suppose -8*v + 184 - 24 = 0. List the prime factors of x(v).
3
Let g = 13 - 0. Suppose -2*t + g = -5. Suppose -134 + t = -5*w. What are the prime factors of w?
5
Suppose 2*l = -4*i + 8, 3*l - 5*l + 8 = -4*i. Suppose i = 21*g - 25*g + 228. What are the prime factors of g?
3, 19
Let c be 1/((-3)/627*1). Let i = 314 + c. What are the prime factors of i?
3, 5, 7
Suppose 4*f = -f. Suppose f = -i + 17 + 15. What are the prime factors of i?
2
Let h = 81 + -55. Let p = h + 39. List the prime factors of p.
5, 13
What are the prime factors of (-35223)/(-10) - (-138)/(-460)?
2, 3, 587
Let p = -648 - -922. List the prime factors of p.
2, 137
Let l = 965 - 596. List the prime factors of l.
3, 41
Suppose -39*s - 170 = -34*s. Suppose 4*d = 2*p - 5*p - 45, 2*p + 13 = 3*d. Let t = p - s. What are the prime factors of t?
23
Suppose 3*b + 0*b = 0. List the prime factors of (51 + b)/(-14 - -15).
3, 17
Suppose -982 = 37*f - 39*f. What are the prime factors of f?
491
Suppose -9 = f - 0*f. Let g be 922/(-18) + (-2)/f. List the prime factors of (-5)/15*g/1.
17
Let k(w) = -w**3 - w + 2. Let v be k(0). Suppose 0 = -2*f - 10, v*b - b - f = 96. Let d = b - 62. What are the prime factors of d?
29
Suppose -4*c + 5448 = 25*m - 22*m, -4*c + 2*m + 5428 = 0. What are the prime factors of c?
3, 151
Let d = 11 - 9. Suppose -4*t = -5*c + 96, c + d*c - 40 = -2*t. Suppose -c = o - 2*o. What are the prime factors of o?
2
Suppose 30*j - 13*j = 10523. What are the prime factors of j?
619
Let h be (-1 - -9)/(2/11). Suppose 3*q - 3*p - 12 = 0, 4*p = -0*p. Suppose 180 - h = q*l. What are the prime factors of l?
2, 17
Let a(d) = -2*d + 17*d + 15*d - 47 - 3*d**2. Let x(i) = -i**2 + 10*i - 16. Let v(n) = -3*a(n) + 8*x(n). List the prime factors of v(11).
2, 3
Suppose 7*j - 4*j = -5*z + 192, -4*z = j - 64. Suppose -5*f - 149 = -3*g, -87 = -3*f + 6*f - 3*g. Let a = j + f. What are the prime factors of a?
3, 11
Let o = 6065 - 3268. List the prime factors of o.
2797
Suppose -5*t - 2*u = -2885, -t - 12*u + 8*u = -559. Suppose -t = -24*i + 21*i. List the prime factors of i.
193
Let o(q) = -6*q + 29. Let z(x) = -2*x. Let j(a) = -o(a) - 3*z(a). List the prime factors of j(4).
19
List the prime factors of 1 - 4/16 - (-135102)/88.
2, 3
Let t(h) = h**2 + 10*h - 1. Let j be t(12). Suppose 0 = -5*o - 5*l + 370, 2*l - j = -4*o + 25. List the prime factors of o.
2, 5, 7
List the prime factors of (-6)/18*3*31*-22.
2, 11, 31
Let s be (419/2)/(11/22). Suppose 3*z + 2*i = s, 2*z - 3*z - 4*i + 123 = 0. List the prime factors of z.
11, 13
Let x(v) = v**3 + 21*v**2 + 3*v - 4. Let t be x(-21). Let o = 169 + t. What are the prime factors of o?
2, 3, 17
Let y(w) = 7*w + 42. What are the prime factors of y(36)?
2, 3, 7
Let x be 0 + 69*(-3)/(-9). Let p = x - -17. What are the prime factors of p?
2, 5
Let a(x) = -6*x - 15. Suppose -g + 90 = 3*g + 3*o, 5*g = -3*o + 111. Let p be 36/(-63) + (-177)/g. List the prime factors of a(p).
3,
|
{
"pile_set_name": "DM Mathematics"
}
|
?
True
Let n(v) be the first derivative of -v**4/4 + 7*v**3/3 - 5*v**2/2 + 4*v + 2. Is n(6) a multiple of 9?
False
Let f(y) = -y**3 - 3*y**2 - 4*y - 1. Let m be f(-3). Suppose -2*k + m = -k - 3*b, 0 = -k - 4*b - 10. Suppose 114 = k*l + 30. Is 13 a factor of l?
False
Let j = 351 + -213. Is 22 a factor of j?
False
Suppose 3*p = -4*f - 28, -f = -3*f - 3*p - 14. Let r(a) = -7*a - 2. Let l(g) = -8*g - 1. Let u(d) = -5*l(d) + 6*r(d). Is u(f) a multiple of 6?
False
Let o(n) = -n**3 + 2*n**2 + 3*n - 3. Does 7 divide o(-2)?
True
Suppose g - 7*g = -48. Is g a multiple of 8?
True
Suppose 2*c - 68 = -2*c. Suppose c + 47 = 4*r. Is 14 a factor of r?
False
Let d be 2 - (-3)/((-9)/(-12)). Suppose 108 = -2*z + d*z. Is z a multiple of 17?
False
Let x = 68 + -59. Is x a multiple of 3?
True
Suppose 3*a - 6*v + v = 295, 4*v + 8 = 0. Does 19 divide a?
True
Suppose -5*y + 4*l + 27 = 0, -3*l + l = 5*y - 9. Is 13 a factor of 1*(y - -10)/1?
True
Let u be -1 - -3 - (-8 + -6). Suppose h + 41 = 4*w, 0 = 2*w - 0*w - 2*h - u. Does 11 divide w?
True
Suppose 2*y - 4*l = 32, -43 = -3*y + 2*l - 11. Does 5 divide y?
False
Suppose -3*f + 0*f + 29 = 5*p, 0 = 3*f + 2*p - 17. Suppose b + 5*u - 21 = 0, 5*b - f*b + 4*u = 24. Suppose -b*o = -4*o - 40. Is o a multiple of 13?
False
Let y(r) = r**2 - 5*r + 8. Let s be y(7). Suppose -23 = 5*o + s. Let a = 17 + o. Is a a multiple of 6?
False
Let j(z) = 108*z**2 - 3*z + 2. Is 6 a factor of j(1)?
False
Let q(t) = -12*t - 12. Does 28 divide q(-8)?
True
Let l be 9*3 - (3 - 2). Suppose 0*f = -2*f + l. Does 9 divide f?
False
Let t(f) = -f**3 + 10*f**2 + 2*f + 7. Let l be 6/8 - (-148)/16. Is 27 a factor of t(l)?
True
Suppose -34 = -3*d + 251. Suppose -5*u - 3*v = -0*u - 95, 5*u - v = d. Let y = u + -10. Is 9 a factor of y?
True
Let v(f) = 35*f + 16. Is 61 a factor of v(10)?
True
Let i be (2 + 0 + -3)*27. Let y = i - -34. Is y a multiple of 5?
False
Suppose 3*s + 4*h - 20 = 0, 3*h - 8*h + 16 = 3*s. Is 4 a factor of s?
True
Suppose -3 = -l - 5*m + 18, 4*l - 68 = -4*m. Is l a multiple of 2?
True
Suppose -88 = -5*u + u. Is 11 a factor of (u/(-4))/(2/(-4))?
True
Let c = 24 + -12. Suppose -v - c = 3*v. Does 3 divide ((-9)/(-6))/v*-6?
True
Let v be (-4 + (-2)/(-2))/(-1). Suppose c = -2 - v, 3*q - 4 = -c. Is 3 a factor of q?
True
Is (4/6)/((-9)/(-81)) a multiple of 3?
True
Suppose -270 = -j + 5*x, -j + 0*x = x - 288. Does 15 divide j?
True
Let h = -194 + 344. Is h a multiple of 10?
True
Let r be (-2)/(-5) + 38/5. Is 3 a factor of ((-12)/10)/(r/(-20))?
True
Suppose 9*i = 6*i - 5*s + 375, -i + s + 125 = 0. Is i a multiple of 8?
False
Let o = 8 - -67. Does 15 divide o?
True
Suppose 0 = -41*g + 39*g + 122. Is g a multiple of 22?
False
Is 7 a factor of (-28)/(-154) + 163/11?
False
Let h = 78 - 51. Let z = -4 - h. Let j = 63 + z. Does 11 divide j?
False
Suppose -2*d = -5*d - 5*r + 78, -r + 87 = 4*d. Does 15 divide 2 + (-1)/((-1)/d)?
False
Suppose -704 = -2*y - k, 0 = 4*y - 7*y + k + 1051. Is y a multiple of 41?
False
Is 25 a factor of (-15)/2*10/(-3)?
True
Let f(r) = 3*r**2 - 6. Does 17 divide f(-5)?
False
Let i(y) be the first derivative of -y**5/60 - y**4/12 - y**3/3 - 1. Let t(u) be the third derivative of i(u). Is t(-3) a multiple of 2?
True
Let b(n) = 22*n**2 + 2*n + 2. Is b(-1) a multiple of 11?
True
Suppose 3*z = 12, -7*z + 14 = -3*x - 2*z. Suppose 0 = 4*o - x*o - 10. Is 3 a factor of o?
False
Suppose 0 = m + 4*m + 205. Let a = m - -89. Does 16 divide a?
True
Let m(w) = 8. Let p(q) = -q - 1. Let r(k) = m(k) + 5*p(k). Let t be r(-6). Let i = t - 13. Is 10 a factor of i?
True
Let q = 100 + -54. Let a = -31 + q. Does 9 divide a?
False
Let o(u) = -2*u**3 - 10*u**2 + 10*u + 8. Let k be o(-8). Does 9 divide k/22 - 4/22?
False
Suppose -5*f = -f - 2*x + 2, -5*f = 4*x - 4. Let a(b) = b + 4. Let j be a(f). Suppose 2*q - 26 = -j*m, -26 = q - 5*q + 5*m. Does 9 divide q?
True
Suppose 9 = 2*p - 13. Suppose -5*a = -2*m - 2*a - 15, 5*a = -5*m + 25. Is 11 a factor of m + p + (0 - -2)?
False
Suppose 335*y = 330*y + 275. Is y a multiple of 6?
False
Let y(z) = 59*z**2 - 4*z + 5. Is y(1) a multiple of 20?
True
Let f = -4 - -28. Does 8 divide f?
True
Suppose -s - 4*s + w - 2 = 0, 4*s = -3*w + 6. Suppose 4*j = 3*h + 90, 2*j - 4*h + s - 40 = 0. Does 7 divide j?
False
Suppose 5*a + 24 = 3*a. Let m = a + 44. Suppose p = 2*k + m, 0 = 2*p - 0*k - 3*k - 59. Is p a multiple of 16?
False
Let c(q) = -q**3 - 4*q**2 - 4*q - 30. Does 6 divide c(-6)?
True
Let w(b) = 2*b**2 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 - 24
Let q(p) be the third derivative of 0*p + 0 + 0*p**3 - 55*p**2 - 5/24*p**4. Let t(r) = 4*r**2. Give q(t(z)).
-20*z**2
Let j be 4 + 3 - 6/2. Suppose -7*i - 2 = -4*i + j*v, -16 = -4*i + 4*v. Let r(b) = 28*b**i - 12*b**2 - 10*b**2. Let w(p) = -p. Calculate r(w(l)).
6*l**2
Let d(x) = -6*x + 16. Let q(s) = -7*s + 20. Let k(t) = -5*d(t) + 4*q(t). Let l(p) be the first derivative of -219*p**2/2 + 32. Give k(l(m)).
-438*m
Let b(a) = -4*a**2 + 4*a + 10. Let t(d) = -15*d**2 + 18*d + 45. Let i(l) = -9*b(l) + 2*t(l). Let h(q) = -59*q. Calculate i(h(v)).
20886*v**2
Let p(b) = 10*b**2 - 237*b + 177. Let l(h) = 9*h**2. Calculate p(l(t)).
810*t**4 - 2133*t**2 + 177
Let d(q) = 4*q**2 - 2*q + 2*q. Let x(c) be the third derivative of -c**5/30 - 22005*c**2. Determine x(d(i)).
-32*i**4
Let d(o) = -o**2. Let r(m) = 22*m - 19. Suppose -5*s = 202 - 177. Let t(k) = -11*k + 11. Let x(h) = s*t(h) - 3*r(h). Calculate x(d(j)).
11*j**2 + 2
Let f(k) = -16*k**2. Let q(l) = 59*l**2 - 1752. Give q(f(v)).
15104*v**4 - 1752
Let y(z) = -z**2. Let m(d) be the third derivative of 21*d**5/20 - 7*d**3/6 - 235*d**2. Calculate y(m(f)).
-3969*f**4 + 882*f**2 - 49
Let c(x) = 14 + x**2 - 6 - 8. Let m(t) = -105*t - 7. Let v be m(-4). Let u(o) = -13*o + 413 - v. Calculate c(u(f)).
169*f**2
Let t(x) = 46*x**2. Let z(w) = 42*w**2 - 3 - 44*w**2 - 1 - 4*w. Let c(q) = -2*q**2 - 5*q - 5. Let v(p) = -4*c(p) + 5*z(p). Give v(t(a)).
-4232*a**4
Let s(w) = -w. Let y(v) = -147063*v**2 - 2*v + 147043*v**2 + v + 4. What is y(s(d))?
-20*d**2 + d + 4
Let j(r) = -r + 76. Let s(z) be the second derivative of z**3/3 - 131*z. What is j(s(x))?
-2*x + 76
Let c(j) = 27693 - 27693 - 30*j**2. Let z(d) = -1 - 1 - 4 + 6 + 2*d**2. What is c(z(a))?
-120*a**4
Let q(l) = 12*l + 107*l - 122*l. Let h(v) = 70*v + 7. Determine h(q(o)).
-210*o + 7
Let h(j) = 4*j**2. Let i(q) = -5354*q + 412. Calculate i(h(k)).
-21416*k**2 + 412
Let n(m) = 2*m - 2002. Let f(k) = 2360*k. Determine f(n(c)).
4720*c - 4724720
Let k(g) be the first derivative of 71/2*g**2 + 0*g + 30. Let c(h) = h. Calculate k(c(r)).
71*r
Let g(o) = 182*o. Let f(n) = 6460*n**2 - 3*n + 2. Give f(g(t)).
213981040*t**2 - 546*t + 2
Let v(o) be the third derivative of -113*o**2 + 0*o**3 + 1/12*o**5 + 0 + 0*o**4 + 0*o. Let i(w) = -3*w + 0*w + 2*w**2 + 3*w. Calculate i(v(g)).
50*g**4
Let p(u) = -2*u + 19. Let v(k) = 1096903*k**2 - 3*k. What is p(v(j))?
-2193806*j**2 + 6*j + 19
Let k(m) be the third derivative of m**5/30 + 4861*m**2. Let x(t) = 3725*t. Give x(k(l)).
7450*l**2
Let q(m) be the third derivative of m**4/6 - 595*m**2. Let w(v) be the first derivative of -v**3/3 + 32. Calculate w(q(y)).
-16*y**2
Let b(x) = -2*x - 2869. Let p(w) = -19266*w - 3. Give b(p(h)).
38532*h - 2863
Let r be ((-3)/3 + 8)*2. Suppose 4*g - 6*g = -r. Let a(f) = g*f - 38 + 16 + 22. Let u(t) = -2*t. Calculate a(u(b)).
-14*b
Let x(w) = 2*w. Suppose 0 = -17*o + 23*o - 12. Let y(p) = 2 - 1 + 0 - 8 + 18*p**o. Give x(y(u)).
36*u**2 - 14
Let z(b) = 19*b + 35. Let d(y) = 4*y - 6. Let j(i) = 6*d(i) + z(i). Let a(p) = 8*p. Calculate a(j(s)).
344*s - 8
Let b(l) = -8*l**2 - 240. Let h(q) = -10*q**2 - 245. Let x(a) = -6*b(a) + 5*h(a). Let i(y) = y. Give x(i(p)).
-2*p**2 + 215
Let t(q) = -q**3 - 4*q**2 - 4*q + 3. Let z be t(-4). Let l(f) be the first derivative of -26 + f**2 + 23 + z. Let u(r) = -3*r**2. Determine l(u(k)).
-6*k**2
Let q(a) = 57*a**2. Let n(y) be the second derivative of -y**4/24 + 72*y**2 + 113*y. Let w(p) be the first derivative of n(p). Give w(q(j)).
-57*j**2
Let q(h) be the first derivative of -3*h**3 - 2848. Let i(r) = 1435*r. What is i(q(o))?
-12915*o**2
Let g(a) = 59*a. Let d(t) = -8*t. Let z(r) = 24*r**2 + 32*r. Let w(f) = 4*d(f) + z(f). What is w(g(n))?
83544*n**2
Let u(x) = -195*x. Let q(d) = 2. Let z(b) = 8 - b - 2*b + 2*b + 3*b. Let n(j) = -4*q(j) + z(j). Give u
|
{
"pile_set_name": "DM Mathematics"
}
|
on divisor of 90 and 198.
18
What is the highest common divisor of 180 and 75?
15
What is the greatest common factor of 4375 and 525?
175
What is the greatest common divisor of 96 and 1338?
6
Calculate the highest common factor of 27204 and 36.
12
What is the highest common divisor of 44 and 108?
4
Calculate the highest common divisor of 2241 and 581.
83
Calculate the greatest common divisor of 9 and 6849.
9
What is the highest common divisor of 4020 and 10?
10
What is the greatest common factor of 440 and 5240?
40
What is the greatest common divisor of 660 and 2090?
110
What is the highest common factor of 19045 and 65?
65
Calculate the greatest common divisor of 2197 and 1521.
169
What is the greatest common divisor of 112 and 1400?
56
Calculate the greatest common factor of 4065 and 90.
15
Calculate the highest common factor of 4 and 13.
1
Calculate the greatest common factor of 728 and 104.
104
What is the highest common factor of 129 and 3741?
129
What is the greatest common divisor of 16 and 52912?
16
What is the greatest common divisor of 72 and 27684?
36
Calculate the greatest common divisor of 232 and 8.
8
Calculate the greatest common divisor of 238 and 98.
14
Calculate the greatest common factor of 1 and 83.
1
Calculate the highest common factor of 98 and 588.
98
Calculate the greatest common divisor of 9 and 11.
1
Calculate the highest common factor of 1 and 31.
1
Calculate the highest common divisor of 99 and 22.
11
What is the highest common factor of 20 and 4?
4
What is the highest common factor of 216 and 50436?
108
Calculate the greatest common divisor of 1041 and 9.
3
What is the highest common factor of 108 and 32?
4
Calculate the greatest common factor of 1644 and 24.
12
Calculate the highest common factor of 4032 and 378.
126
What is the greatest common factor of 20 and 30?
10
What is the greatest common factor of 9 and 801?
9
What is the highest common divisor of 616 and 264?
88
Calculate the highest common divisor of 486 and 114.
6
Calculate the greatest common divisor of 9628 and 83.
83
Calculate the highest common divisor of 1342 and 770.
22
What is the greatest common factor of 6016 and 384?
128
Calculate the highest common divisor of 30 and 24105.
15
Calculate the greatest common factor of 384 and 48.
48
Calculate the highest common factor of 200 and 3475.
25
What is the highest common factor of 108 and 8?
4
What is the greatest common divisor of 204 and 1572?
12
What is the highest common factor of 30 and 18?
6
What is the highest common divisor of 2500 and 60?
20
Calculate the greatest common divisor of 64 and 544.
32
What is the highest common factor of 43 and 4429?
43
What is the highest common factor of 236 and 59?
59
Calculate the highest common factor of 54 and 3618.
54
What is the highest common factor of 575 and 50?
25
What is the greatest common divisor of 338 and 2405?
13
What is the greatest common factor of 58 and 18?
2
What is the highest common divisor of 55 and 253?
11
What is the highest common divisor of 341 and 517?
11
Calculate the highest common factor of 722 and 1330.
38
What is the highest common factor of 9 and 3897?
9
What is the greatest common divisor of 8954 and 148?
74
Calculate the greatest common divisor of 102 and 12.
6
Calculate the greatest common divisor of 184 and 24.
8
What is the greatest common divisor of 240 and 32?
16
Calculate the highest common divisor of 208 and 6682.
26
What is the highest common factor of 228 and 25878?
114
Calculate the highest common factor of 549 and 305.
61
What is the highest common divisor of 1204 and 5504?
172
What is the highest common factor of 11 and 517?
11
Calculate the highest common factor of 918 and 54.
54
Calculate the greatest common factor of 6000 and 120.
120
Calculate the greatest common divisor of 13 and 25831.
13
Calculate the highest common factor of 294 and 2499.
147
Calculate the highest common factor of 264 and 8.
8
Calculate the highest common factor of 16302 and 228.
114
What is the highest common factor of 3220 and 92?
92
Calculate the highest common factor of 84 and 300.
12
Calculate the greatest common factor of 11050 and 170.
170
What is the greatest common factor of 10 and 2945?
5
Calculate the greatest common divisor of 5920 and 15.
5
Calculate the greatest common divisor of 4237 and 114.
19
Calculate the greatest common factor of 171 and 38.
19
Calculate the greatest common divisor of 42 and 1338.
6
What is the highest common factor of 218 and 1635?
109
Calculate the highest common divisor of 25 and 38775.
25
Calculate the greatest common factor of 221 and 26.
13
What is the greatest common divisor of 548 and 4?
4
Calculate the highest common factor of 66351 and 51.
51
Calculate the greatest common factor of 90 and 810.
90
What is the highest common factor of 6 and 519?
3
Calculate the highest common factor of 259 and 407.
37
Calculate the highest common factor of 2 and 60.
2
Calculate the highest common factor of 611 and 104.
13
Calculate the greatest common divisor of 91724 and 92.
92
What is the highest common factor of 9200 and 80?
80
What is the highest common divisor of 1754 and 18?
2
What is the greatest common factor of 65 and 5?
5
What is the highest common divisor of 210 and 1302?
42
What is the greatest common divisor of 1617 and 77?
77
What is the greatest common factor of 656 and 82?
82
What is the greatest common divisor of 510 and 270?
30
Calculate the highest common factor of 56342 and 33.
11
What is the highest common factor of 2318 and 114?
38
What is the greatest common divisor of 88 and 40?
8
Calculate the highest common divisor of 243 and 3.
3
What is the highest common divisor of 119 and 7?
7
Calculate the highest common divisor of 749 and 7.
7
What is the highest common factor of 4 and 68?
4
What is the greatest common factor of 37 and 12247?
37
What is the highest common factor of 465 and 589?
31
Calculate the highest common factor of 66 and 23694.
66
What is the highest common factor of 221 and 169?
13
Calculate the greatest common divisor of 171 and 9.
9
What is the highest common factor of 81 and 83349?
81
Calculate the greatest common factor of 6 and 9726.
6
What is the greatest common divisor of 1197 and 441?
63
What is the greatest common divisor of 28 and 252?
28
Calculate the highest common divisor of 1328 and 5478.
166
What is the highest common factor of 89 and 8633?
89
Calculate the highest common divisor of 696 and 144.
24
What is the greatest common factor of 60 and 636?
12
Calculate the highest common factor of 210 and 350.
70
Calculate the greatest common divisor of 215 and 15.
5
What is the highest common factor of 8249 and 678?
113
Calculate the greatest common factor of 7661 and 47.
47
What is the greatest common factor of 6 and 534?
6
What is the highest common divisor of 1519 and 833?
49
What is the highest common divisor of 3430 and 630?
70
Calculate the greatest common factor of 5800 and 200.
200
Calculate the greatest common divisor of 238 and 1022.
14
What is the highest common factor of 286 and 22?
22
What is the greatest common divisor of 308 and 132?
44
What is the greatest common divisor of 52 and 1248?
52
What is the greatest common factor of 91 and 728?
91
What is the greatest common factor of 413 and 1121?
59
What is the greatest common factor of 16 and 240?
16
What is the highest common divisor of 16 and 504?
8
Calculate the highest common divisor of 170 and 50.
10
What is the greatest common divisor of 159 and 8904?
159
What is the greatest common divisor of 28 and 1603?
7
What is the highest common divisor of 23 and 3105?
23
Calculate the highest common divisor of 29563 and 34.
17
Calculate the greatest common factor of 10 and 128.
2
Calculate the greatest common divisor of 13208 and 520.
104
What is the greatest common divisor of 475 and 133?
19
Calculate the greatest common divisor of 105 and 21.
21
What is the greatest common divisor of 74285 and 179?
|
{
"pile_set_name": "DM Mathematics"
}
|
*3
Let u(n) be the second derivative of 665*n**4/6 + 635*n**2 + 360*n - 3. What is the first derivative of u(q) wrt q?
2660*q
Let h(c) = -129*c + 136. Let l be h(1). Let s be (20/6)/(4/42). Find the second derivative of -l*i + 8*i + 18*i + s*i**3 + 9*i wrt i.
210*i
Let d be (-1002)/(-8) + (-13)/52. Suppose 5*g + d = 10*g. Find the third derivative of -l**2 - 39*l**4 + 75*l**4 - g*l**2 - 34*l**4 wrt l.
48*l
What is the first derivative of -15*w**4 - 4820 - 152*w**2 + 14*w**4 - 144*w**2 + 282*w**2 - 9*w wrt w?
-4*w**3 - 28*w - 9
Let q(r) be the third derivative of -229*r**5/30 + 487*r**4/4 - 3284*r**2. What is the second derivative of q(g) wrt g?
-916
Find the third derivative of 3584*s**2 + 1256*s**3 - 12*s**4 - s**5 - 1255*s**3 + 2*s**4 wrt s.
-60*s**2 - 240*s + 6
Let s(a) = -186*a - 208. Let m(c) be the third derivative of -23*c**4/24 - 13*c**3/3 - 3*c**2 + 3. Let t(u) = 51*m(u) - 6*s(u). Differentiate t(o) wrt o.
-57
What is the first derivative of -849*u**2 - 52*u**4 - 1615 + 284*u**2 - 119*u**4 + 284*u**2 + 283*u**2 wrt u?
-684*u**3 + 4*u
Let o = 21 + 34. Find the second derivative of 47*m**2 - o*m - 1 + 37*m + 1 wrt m.
94
Find the third derivative of 3622*d**6 - 3 - 16*d**4 + 6 - 1 + 289*d**2 - 3624*d**6 wrt d.
-240*d**3 - 384*d
Let t(d) be the second derivative of d**8/14 + d**6/10 - 31*d**5/10 - 113*d**4/6 - d**2 + 3*d - 454. What is the third derivative of t(n) wrt n?
480*n**3 + 72*n - 372
Let z = 79 + 151. What is the third derivative of -47*s + z*s + s**2 - 71*s**4 - 75*s**4 + 3*s**2 - 6*s**2 + 2*s**3 wrt s?
-3504*s + 12
Let o(s) = 1567*s**3 - 5*s**2 + 1875. Let f(n) = 2353*n**3 - 7*n**2 + 2813. Let m(b) = -5*f(b) + 7*o(b). What is the first derivative of m(w) wrt w?
-2388*w**2
Suppose 3*m + 0 = -3, 2*c - 14 = 4*m. Suppose -s = 2, 0*u + c*s = -u - 8. What is the derivative of i**2 - 9*i**2 - 9*i**u + 0 + 8 wrt i?
-34*i
Differentiate -391 - 150 + 1668*o**4 - 919 + 132 with respect to o.
6672*o**3
Let w(d) = 47*d**2 - 2*d - 8. Suppose -3*l - 21 = -33. Let b be w(l). What is the third derivative of b*n + 19*n**2 - 736*n - 26*n**5 wrt n?
-1560*n**2
Let r(u) be the second derivative of 1/15*u**6 + 51/5*u**5 + u + 0*u**3 + 0*u**2 + 7/2*u**4 + 4. Find the third derivative of r(t) wrt t.
48*t + 1224
Let b(j) be the first derivative of j**7/7 + 25*j**6 - 5578*j**3/3 - j**2/2 + 430. Find the third derivative of b(p) wrt p.
120*p**3 + 9000*p**2
Let y(a) = -70*a**2 - 6*a - 3532. Let b(n) = -32*n**2 - 3*n - 1765. Let c(i) = 7*b(i) - 4*y(i). Find the first derivative of c(o) wrt o.
112*o + 3
Let s(m) = -767*m**2 - 10*m - 294. Let x(j) = 13806*j**2 + 182*j + 5291. Let b(f) = 91*s(f) + 5*x(f). What is the first derivative of b(p) wrt p?
-1534*p
Suppose -10*h = -h - 216. Suppose -5*b + h = q, 7*b - 4*b = q + 8. What is the third derivative of -8*g**4 + 55*g**b - 7*g**4 - 4*g**2 + 29*g**2 wrt g?
960*g
Let l = 9801 + -9784. Let r(x) be the first derivative of 15/2*x**2 + l + 24*x. What is the first derivative of r(w) wrt w?
15
Let t(f) = 52*f**2 + 2. Let l be t(1). What is the second derivative of 214 + l*h - 214 + 126*h**3 wrt h?
756*h
Let r(q) be the first derivative of -2*q - 11/2*q**4 - 3*q**2 - 116 + 0*q**3. Find the second derivative of r(l) wrt l.
-132*l
Let h(c) = -578*c**3 - 5*c**2 + 5*c - 198. Let u(d) = -11*d**3 + d**2 - d - 1. Let p(k) = 3*h(k) + 15*u(k). Differentiate p(r) wrt r.
-5697*r**2
Let z(d) be the third derivative of 0*d**3 - 190*d**2 + 0*d + 61/30*d**5 - 89/12*d**4 + 0 + 1/120*d**6. Find the second derivative of z(b) wrt b.
6*b + 244
Let d(q) be the first derivative of 1/2*q**6 + 71*q**3 + 0*q**4 + 0*q - 31/5*q**5 + 0*q**2 - 11. What is the third derivative of d(m) wrt m?
180*m**2 - 744*m
Differentiate -3*u**2 - 867 - 487*u + 961*u + 297 - 568 - 562*u with respect to u.
-6*u - 88
Let c(m) = -393*m**3 + 215*m**2 - 2*m + 1. Let x(o) = o**3 - 2*o + 1. Let h(u) = c(u) - x(u). What is the third derivative of h(l) wrt l?
-2364
Let f(w) be the first derivative of 11129*w**6/6 - 11*w**2/2 + 260*w + 3641. What is the second derivative of f(k) wrt k?
222580*k**3
Let x(a) be the first derivative of 7046*a**3/3 - 12*a**2 + 3*a - 3778. Find the second derivative of x(c) wrt c.
14092
Find the second derivative of -3978*a**2 - 961 + 961 + 732*a**2 + 6052*a wrt a.
-6492
Let i(z) = -6110*z + 10385. Let m(r) = -15277*r + 25961. Let d(k) = 13*i(k) - 5*m(k). What is the first derivative of d(
|
{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of o(r) wrt r.
-96*r
Let f be 42/(-9)*(-54)/21. What is the first derivative of -f + 3 - 3*y - 3*y + 0 wrt y?
-6
Let j(o) = 10*o. Let x(c) = -10*c - 1. Let r(q) = 5*j(q) + 4*x(q). What is the derivative of r(u) wrt u?
10
Let x(f) be the first derivative of -1/3*f**6 + 0*f + 3/2*f**2 + 0*f**4 + 0*f**3 + 0*f**5 + 2. Find the second derivative of x(w) wrt w.
-40*w**3
Find the second derivative of 4*o**3 - 4*o**3 - 3*o + 2*o + 15*o**5 wrt o.
300*o**3
Suppose -w - 3*k + 14 = 0, 5*w + k = -4*k + 30. Find the first derivative of -4 - 3*y**2 - 2*y**2 - y**2 + 5*y**w wrt y.
-2*y
Find the third derivative of -4*d**4 + 16*d**3 - 16*d**3 + 15*d**2 wrt d.
-96*d
Suppose 42*j = 41*j + 4. Let p(a) be the first derivative of a**3 - 2/3*a**6 + 0*a**5 + 0*a**j - 3 + 0*a**2 + 0*a. What is the third derivative of p(x) wrt x?
-240*x**2
Let d(a) be the second derivative of 0*a**5 + 0*a**6 + 1/14*a**7 - 1/12*a**4 + a + 0 + 0*a**2 + 0*a**3. Find the third derivative of d(w) wrt w.
180*w**2
Suppose -4*r - 25 = -9*r. Suppose -4*b = -r*m - 37, -b + m - 2*m - 2 = 0. Find the third derivative of -a**b + a**2 + 0*a**2 - 2*a**2 wrt a.
-6
Let k(f) = -2*f**3 + 10*f**2 + 7. Let r(y) = -2*y**3 + 9*y**2 + 6. Let c(g) = -6*k(g) + 7*r(g). What is the third derivative of c(h) wrt h?
-12
Suppose -2*x + 12 = x. Suppose -6*s + 20 = -s. Find the second derivative of -s*k + k + k**4 + 0*k - 4*k**x wrt k.
-36*k**2
Let k(u) = -u**2 + 2*u - 1. Let y(t) = -6*t**2 + 33*t - 24. Let j(h) = 4*k(h) - y(h). Find the first derivative of j(d) wrt d.
4*d - 25
Let c(p) be the first derivative of -5*p**2/2 + p + 2. Let u be c(-1). What is the third derivative of j**2 - 2*j**2 + u*j**6 - 4*j**6 + 3*j**2 wrt j?
240*j**3
Let b(u) be the second derivative of -u**9/5040 - u**5/24 - u**4/4 - u. Let y(t) be the third derivative of b(t). What is the derivative of y(x) wrt x?
-12*x**3
Let d(g) be the first derivative of -g - 7 + 0*g**2 + 0*g**3 + 3/2*g**4. What is the derivative of d(y) wrt y?
18*y**2
Let q(l) be the third derivative of -2/3*l**3 + 0 + 0*l**5 + 0*l**4 + 0*l - 3*l**2 + 0*l**6 - 1/105*l**7. Differentiate q(o) with respect to o.
-8*o**3
Suppose a - 28 = -6*a. What is the second derivative of -j + 7*j + 8*j**a + j**4 wrt j?
108*j**2
Let s be 3*(-1)/((-9)/15). Suppose 4 = -3*g - s*c, 3*g = -c - 4 + 8. Find the third derivative of 4*w - 4*w - w**2 + g*w**3 wrt w.
12
Suppose i + 5*c = 3, 4*i - 2*c = 16 - 4. What is the first derivative of 4 + i*x**2 + 0 - 3*x**2 + 4*x**2 wrt x?
8*x
Suppose 2*z - 3 = 9. Find the third derivative of 0*d**2 + d**6 - 5*d**2 + 0*d**z wrt d.
120*d**3
Let g(j) = 7*j**4 - 7*j**3 - 7*j**2 + 7*j. Let v(u) = -3*u**4 + 4*u**3 + 3*u**2 - 4*u. Let n(q) = 4*g(q) + 7*v(q). What is the third derivative of n(b) wrt b?
168*b
Let h be 1 - 1/((-3)/6). Differentiate 2*y - 5 + h*y**2 - 2*y with respect to y.
6*y
Let v(u) = u. Let k be v(4). What is the second derivative of 0 + 0 - 2*n**4 + n + 4*n**k wrt n?
24*n**2
Let u(x) = -x**3 + x. Let i(n) = 2*n**4 - 7*n**3 + 4*n. Let r(b) = 2*i(b) - 14*u(b). Find the second derivative of r(z) wrt z.
48*z**2
Let a(f) = 2*f - 9. Let z be a(6). What is the third derivative of 2*j**4 - j**2 + z*j**4 - 3*j**4 + 3*j**2 wrt j?
48*j
Let v(s) = 9 - 6*s - s + 2*s. Let p(g) = 1. Let w(y) = 6*p(y) - v(y). What is the first derivative of w(m) wrt m?
5
Let c(v) = 2*v + 2. Let g be c(-4). Let b be ((-6)/9)/(1/g). What is the first derivative of -b*j + 2 + j**2 + 1 + 4*j wrt j?
2*j
Let l(s) be the first derivative of -3 - 3/4*s**4 + 0*s + 1/2*s**2 + 0*s**3. What is the second derivative of l(r) wrt r?
-18*r
Let j(m) be the second derivative of -3*m**3 - 2*m**2 + m. What is the derivative of j(c) wrt c?
-18
What is the derivative of v**4 + 5*v**4 + 1 - 2 wrt v?
24*v**3
Let v = 104 - 104. Let b(n) be the first derivative of n**4 + v*n**3 + 2 - 3/2*n**2 + 0*n. Find the second derivative of b(m) wrt m.
24*m
Suppose -2*a + a = -3. Find the first derivative of w**4 - 1 - a + 2*w**4 + 3 wrt w.
12*w**3
Let b(i) be the third derivative of -i**6/30 - i**5/10 + i**2. What is the third derivative of b(a) wrt a?
-24
Let m be (-1)/3*(-1 + 1). What is the derivative of -b - 5 - 1 + m*b + 3 wrt b?
-1
Let j(p) be the second derivative of 0 - p**2 - 4*p + 1/6*p**3. Differentiate j(v) with respect to v.
1
Let g(j) be the first derivative of j**6/30 + j**3/6 - 2*j - 4. Let p(o) be the first derivative of g(o).
|
{
"pile_set_name": "DM Mathematics"
}
|
4*k - 3*q = -4*q + 9, 0 = -5*k - q + 11. Let f = 6 + -11. Let h = f + 9. Solve -h*t - k - 4 = 3*v, 2*t = -2*v - 2 for t.
-3
Suppose 2*k - 28 + 24 = 0. Let s be -4 + (k + 16 - 4). Suppose 0 = 2*v + 3*v - s. Solve 4*y + 2*i - 4 = -0, -v*i = -5*y + 14 for y.
2
Suppose 25*x = -82*x + 11449. Solve -3*t + 110*f = x*f + 18, 0 = 5*t - 2*f + 15 for t.
-1
Suppose 28*d = 29*d - 5. Suppose -4*r + 8*r + 5*q = -99, -4*r - 2*q - 102 = 0. Let t = 26 + r. Solve d*u - 4*n - 20 - 16 = t, 3*u + 5*n + 8 = 0 for u.
4
Let h be ((-34)/323)/((-8)/1292). Solve -2*k + 4*z = 3*k + 15, 3*k + h = 4*z for k.
1
Let t(m) = -m**2 + 6*m - 4. Let g be (-5)/(-4) - (-8)/(96/9). Let z be t(g). Suppose -z*k = -0*k. Solve -3*o = k, -3*v - 3 - 3 = 4*o for v.
-2
Let t = -42753 - -42755. Solve t*v - 32*z + 2 = -33*z, 2*v + 2*z = -4 for v.
0
Suppose -4*b = 3*x - x - 180, 20 = -4*b. Let n = -24 - -24. Suppose 0*i - 4*i + x = n. Solve -4 = -3*z + 5*f - 21, 5*z + 5*f = i for z.
1
Suppose r - 5*r - 56 = -3*l, 0 = -4*r - 8. Let s be (-2)/29 - -178*(-5)/580*-2. Solve -l = -5*b - s*d + 13, b - 7 = -d for b.
4
Suppose 0 = 69*n + 2 - 140. Solve -n*z = j - 14, 5*j = -3*z + 2*j + 27 for z.
5
Suppose 423 = 4*w - 3*x, 2*w - 5*w + 5*x + 331 = 0. Suppose -d + w = 99. Solve v - 12 = -4*r - 2*v, -4*v = -d*r + 9 for r.
3
Let x(c) = c**2 + 15*c + 74. Let k be x(-18). Let u = -116 + k. Solve -4*y + 5*d + u = 0, d - 2 + 6 = 0 for y.
-2
Let s be (-30)/(-7) - 2/7. Suppose 3 = b - 3*q, -10*q + 8*q + 12 = 4*b. Solve -3*r = -b*o + 15, 2*o + s*r - 3 = -r for o.
4
Let o(l) = -l**3 + 47*l**2 + 104*l - 289. Let b be o(49). Solve -12 = -2*c + b*f, 0 = 2*c + 2*f - f for c.
1
Let a(r) = r**2 - 15*r + 16. Let l be a(10). Let j = -72 - -131. Let c = j + l. Solve -c = 5*x + y, 4*x - y + 8 = -12 for x.
-5
Let h be 74 + -1 + 2 + -1. Let x = 76 - h. Solve -x*u + 5*w - 29 = u, u - 5*w + 23 = 0 for u.
-3
Suppose 0*q = 21*q - 21. Let x be (q - 9)/(25/(-50)). Let d = 8 + 3. Solve k = -3*p - 12, -5*p - x - d = 4*k for p.
-3
Suppose -56*r - 208 = -69*r. Let b be ((156/r)/(-13))/(1/(-4)). Solve b*u = -2*o + 4*u - 7, u + 7 = -5*o for o.
-2
Suppose -246*q = -239*q - 3423. Let j = 492 - q. Solve -j*y + x + 3*x = -26, -27 = -y + 5*x for y.
2
Suppose 95*v = -361*v + v + 29120. Solve v*a - 17 = 68*a + 3*j, 0 = 5*j + 15 for a.
-2
Let d be ((-741)/(-494))/((-1)/((-16)/6)). Solve -5*b = -5*z - 15, -3*z + d*b + 80 = 91 for z.
-1
Let i = 1506 - 1502. Solve i*p + 1 + 19 = -4*z, -3*p - 5*z = 17 for p.
-4
Let d(m) = 2*m**3 - 25*m**2 + 3*m + 24. Let o be d(13). Let q = 249 - o. Solve 0 = 5*g + 3*f - 3 - q, 0 = -g + 2*f - 9 for g.
1
Suppose 0 = t + 2 - 5. Suppose -7*d + t*d = -8. Solve 2*s + d*l + 3*l - 23 = 0, l = 3 for s.
4
Suppose 2*g = 7*g + 5*a + 120, 2*a - 92 = 3*g. Let k be 8/36*-6*42/g. Solve -3*o + k*y + 22 = 7*y, 4*o = 5*y + 6 for o.
4
Let g be (-2)/8*3 + 9/(-36). Let y be g/(3/(-5)*(-5)/(-15)). Suppose 2*n + 8 = y*f - 2, 3*f = -5*n + 37. Solve -13 = -h + 2*h + f*t, 5*t + 20 = 0 for h.
3
Let p be 306/(-27) - 2/3. Let s be p*(2 + 21/(-9)). Suppose -s*b + 4 = -8. Solve 3*u - 29 = -4*j, 2*j + b = 5*u - 2 for u.
3
Let z = -989 + 1009. Solve 4*j - 5*y - 41 = 0, 33*y - 37*y = z for j.
4
Let v = 5412 - 5410. Solve -v = -l + 5*y - 10, -l - 3*y = -8 for l.
2
Suppose -21*o + 26*o + 2*l = 6, 35 = -5*l. Solve -n - 11*f - 12 = -15*f, -o*n - 20 = -2*f for n.
-4
Suppose 297 = 86*n + 39. Solve -3*m - m = 4*v, -2*m + n*v = -20 for m.
4
Suppose 2*h = -10 + 2. Let k(l) = -l - 5. Let i be k(h). Let c = i - -4. Solve 5*v + 5 = -5*x, 12 = -c*x + v - 7 for x.
-5
Let y be 16*5/40 + 3 + 3. Solve 9 + y = 4*f - 5*s, 3 = f - s for f.
-2
Suppose -v = v - 4*i - 10, -v = 5*i - 19. Suppose 3*g = 2*d - 6*d - v, 3*g + 2*d = -3. Solve 5*j - 4 + 2 = -3*t, 2*j - g = -t for j.
1
Let y(a) = a - 5. Let j be y(7). Suppose -q + 260 = -3*g + g, q - 256 = 3*g. Let s = -268 + q. Solve 5*r + 4*l + 12 = 0, -l = j*r - s + 3 for r.
0
Let b be (-4)/(-8)*4 - -112. Suppose b = h -
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{
"pile_set_name": "DM Mathematics"
}
|
2 - -3). Let c(a) be the first derivative of j - 2*a**2 + 0*a - 3 - a. Give c(-1).
3
Let h(o) be the second derivative of 0*o**3 - 2/3*o**4 + 1/20*o**5 + 0 - 25*o - 3*o**2. Calculate h(8).
-6
Let m(g) = -g**3 - 4*g**2 - 4*g. Let l be m(-3). Let y(v) = -4*v**2 - 33*v + 36*v - 15*v**3 + 16*v**3. Determine y(l).
0
Let i(u) be the second derivative of -u**8/6720 - u**7/630 + u**6/360 - u**5/40 - 17*u**4/12 - 5*u. Let z(n) be the third derivative of i(n). Determine z(-4).
-11
Let o(i) be the first derivative of 3*i**2/2 - 4*i - 2. Let z(q) = -2*q + 8. Let r be z(6). Calculate o(r).
-16
Let h(t) = t - 2. Let u(a) = -a**3 - 4*a**2 - 4. Let r be u(-4). Calculate h(r).
-6
Let g(t) = -3*t**2 + 7*t + 5. Let s(w) = 7*w**2 - 15*w - 11. Let k(p) = 9*g(p) + 4*s(p). Suppose 5 - 11 = 2*i. Calculate k(i).
1
Let y(v) = 2*v + 6. Let s(z) = -3*z - 8. Let r(x) = -3*s(x) - 4*y(x). Calculate r(2).
2
Let w(o) = -8*o**2 - 3*o - 4. Let p(k) = 9*k**2 + 4*k + 5. Let h(v) = 3*p(v) + 4*w(v). Let g = 4 - 8. Let r be (g + (0 - -3))*-1. Give h(r).
-6
Let v(y) = -2 + y**2 - 4 + y + 4. Let d = 21 - 15. Suppose -5*l - 5 = h + d, 2*h + 4 = -l. Determine v(l).
0
Let v(t) = -7*t**2 + 2 - 13*t + 13*t. Let j(m) = -15*m**2 + m + 5. Let h(o) = 6*j(o) - 13*v(o). Give h(-6).
4
Let u(k) be the second derivative of 0 + 0*k**2 - 1/120*k**5 - 1/45*k**6 + 0*k**4 - 5/6*k**3 + 5*k. Let z(i) be the second derivative of u(i). Give z(-1).
-7
Let d(j) = -2*j**3 + 12*j**2 + 18*j + 6. Let t(g) = -3*g**3 + 18*g**2 + 26*g + 10. Let w(p) = -7*d(p) + 5*t(p). Let l = 4 - -3. Give w(l).
-13
Let a(v) be the second derivative of v**3/3 - 212*v. Give a(-3).
-6
Suppose 3*k = 5*h + k - 13, -h + 2*k = -1. Suppose -2*d + 0 = -4. Let l(a) = -3*a**d - 2*a**3 + 4 + 3*a - 3*a + 3*a**3. Give l(h).
4
Suppose 38*p = 34*p - 40. Let l(i) = -i**3 - 10*i**2 + 2*i + 3. What is l(p)?
-17
Let y be (2 + -1)/((-7)/(-35)). Let l(c) = -2*c + y*c - 2 + 6*c. Give l(2).
16
Let j be 30/(-105) + 2/7. Let s(y) be the second derivative of y**3/6 - 5*y**2 - 2*y. What is s(j)?
-10
Let f be (-13)/(-5) + 8/20. Let m(g) = 15*g - 5*g + f*g. Let b = 355 - 354. What is m(b)?
13
Let l(m) = m**3 + 5*m**2 - 8*m - 9. Let r(z) = -z - 13. Let k be r(-7). What is l(k)?
3
Let i(d) be the first derivative of -d**3/3 - 11*d**2/2 - 24*d + 506. Determine i(-6).
6
Let c(r) = 12 + 4 + 2974*r - 2973*r. Determine c(-5).
11
Suppose 3*b = -12, -2*b + 19 = 4*i + 27. Let q(m) = -3*m**2 - 8*m + 4. Let s(p) = 2*p**2 + 5*p - 3. Let r(u) = 5*q(u) + 8*s(u). Determine r(i).
-4
Let j(o) = 0*o**2 - 1 - 17 - 3*o**2 + 10 + 10*o + 2*o**2. Give j(6).
16
Let f(n) = n**2 + 14*n - 13. Suppose 163 = -18*g - 107. Calculate f(g).
2
Let o(l) be the third derivative of l**4/24 + 3*l**3 + 4*l**2 + 25. Calculate o(-15).
3
Suppose 110*x = 111*x + 4*k - 6, 4 = 2*k. Let t(p) be the third derivative of p**5/30 + p**4/12 + p**3/3 - 2*p**2. Calculate t(x).
6
Let q(z) be the second derivative of z**4/24 + 5*z**3/6 + 7*z**2/2 + 10*z. Let n(b) be the first derivative of q(b). Calculate n(0).
5
Let r be 296/(-56) - 4/(-14). Let a(u) be the third derivative of -u**6/120 - u**5/12 + u**4/24 + u**3/3 - 30*u**2. Determine a(r).
-3
Let x(q) = 72*q - 127*q + 56*q - 3. Determine x(3).
0
Let j(r) be the second derivative of r**4/6 - r**3/6 + 110*r. Calculate j(1).
1
Let h(l) be the first derivative of -l**3/3 - 7*l**2 - 22*l - 211. Give h(-13).
-9
Let f(d) be the second derivative of d**5/24 - d**4/8 + 5*d**3/6 + 29*d. Let p(l) be the second derivative of f(l). What is p(2)?
7
Let w(c) = -6*c + 5. Let f = -2491 - -2488. Determine w(f).
23
Let f(p) = p**2 - 5*p - 26. Let j be f(9). Let n(i) = 3*i**2 - 12*i - 1. Let w(r) = 4*r**2 - 13*r - 2. Let z(o) = -3*n(o) + 2*w(o). Calculate z(j).
-1
Let v(x) be the second derivative of x**4/2 + x**2/2 - 57*x. Calculate v(-1).
7
Let d(f) = 18*f**3 + f**2 + 2*f + 1. Let b(g) = 3*g**2 - 3 + 2 - 9*g + 0*g. Let v be b(3). Give d(v).
-18
Let g(j) = -j - 2. Suppose -2*q - 3*q = -4*l + 1, 0 = -3*l - 3*q - 33. Let i be l*(6/(-4))/1. Let z be (-1)/(-1) - i/
|
{
"pile_set_name": "DM Mathematics"
}
|
or p?
-4/11
Let p be 10/(-12) - ((-130)/(-60) + -2). Is -2/109 smaller than p?
False
Suppose -l - 3*l - 5*j - 5 = 0, 3*l = -5*j - 5. Let d be -1 - (69/(-60) + 2). Let g = d + 9/4. Is g greater than l?
True
Let a be (-2)/(-7) + 6/(-21). Suppose -5*k + 2*k = -r - 2, -5*r - 25 = 0. Are k and a non-equal?
True
Let z = -0.09 + -0.01. Which is smaller: 11 or z?
z
Let n be 22/(-40) + (-1)/(-4). Let p = -1 + 0. Is n equal to p?
False
Let r = -18 + 18.13. Is -0.1 at most as big as r?
True
Let r(j) = -j**3 - 6*j**2 - 4*j + 4. Suppose -2*b = -6*b - 5*d - 40, 4*b - 2*d = -12. Let u be r(b). Is u at least -2/5?
False
Let p(w) = -2*w - 9. Let l be p(-3). Are l and -13 non-equal?
True
Let c(w) = -w + 2. Let l be c(-4). Suppose -l*q = -q + 20. Let u = q + 5. Is u <= 3/4?
False
Let v(q) = q + 2. Let i be v(-2). Suppose i = -4*f - t - 0*t - 37, 5*t = -25. Let a be (-2)/(-7) + f/28. Is a bigger than 0?
False
Let p = 613/17290 - -2/665. Is p != -1?
True
Let f = 0 - 0. Let v = -0.2 + 0. Let c = -0.4 - v. Which is bigger: c or f?
f
Let v be 3*(-4)/(-6) + 2. Suppose 0 = 3*t - v*t - 1. Let b = 36 - 33. Which is smaller: t or b?
t
Let z = 0.02 - -2.98. Let b = -0.6 + 0.6. Is z at least as big as b?
True
Let n = -0.91 + 1. Let a = -35/2 - -18. Which is smaller: n or a?
n
Let t(a) be the first derivative of -a**4/4 - 2*a**3 - 3*a**2 - 6*a - 3. Let i be t(-5). Which is smaller: -1/5 or i?
i
Let y(v) = v**2 + v. Let t be y(-2). Let i be t/(-7) + (-6)/(-315). Which is bigger: i or -1?
i
Let x = -11 - -21. Suppose 2 = -c + 12. Is x smaller than c?
False
Suppose 5*z - 10 = 0, -z + 3*z + 52 = 4*i. Do i and 13 have the same value?
False
Suppose -3*f - 15 = -5*n, 5*n - n = 4*f + 12. Which is smaller: -1 or f?
-1
Let j(q) = 4*q**2 - 10*q + 9. Let t be 36/(-6) - (-2 + 1). Let n(r) = 5*r**2 - 11*r + 10. Let f(b) = t*n(b) + 6*j(b). Let c be f(-6). Is -2 at most as big as c?
True
Let h = 9 + -5. Let y = 6 - 10. Let d = y + h. Is 1 not equal to d?
True
Let o = -27745/48 + 578. Is o at most 0?
True
Let h(d) = -d + 2. Let i be h(0). Let s = i - 2. Is s > 0?
False
Let o = -23 + 15. Which is greater: o or -9?
o
Suppose 0*y + 18 = -y. Is y greater than -18?
False
Suppose 4*f + 1 = 3*s, -5*s + f = -4*f - 5. Let c be (s/2)/(-3)*0. Is c less than 2?
True
Let w be (-4)/(-316)*((3 - -1) + -2). Does -1 = w?
False
Suppose -5*x = -5*d - 13090, 3*d + x - 3272 = -11142. Let b be 2/(-7) - d/(-84). Let q = b - -31. Which is greater: 0 or q?
0
Let b = 2/49 - -125/539. Are 1 and b unequal?
True
Suppose -5*a + q - 2 = 0, -4*q + 2*q - 8 = 2*a. Let r be 9 + (-2 + 3)*-1. Let u = 6 - r. Are u and a nonequal?
True
Let k be -1 - 1/2*0. Let b be 1/4 + 36/(-16). Let i be (-9)/36 + b/8. Which is greater: k or i?
i
Let w(f) = -65*f**3 + f**2 + f - 2. Let v be w(1). Which is bigger: v or -64?
-64
Let c = -1604/9 - -178. Suppose 2*t - 2*k - 11 = 3*k, -2 = 2*k. Suppose 2*v + 19 = a - 2*v, t*a - v - 2 = 0. Which is smaller: c or a?
a
Suppose -f + 54 = 2*f. Suppose -c - f = -19. Which is bigger: 3/11 or c?
c
Let d = -13 + 15. Which is greater: d or 3?
3
Let v = -2051 + 533261/260. Is v != 1?
True
Let v = -4 + 2. Is -4/3 <= v?
False
Suppose -4*p + 136 = 3*q, -p - 2*q = 4*p - 163. Is 0.1 equal to p?
False
Let w = 11 - 7. Suppose -2*v = -5*d + 35, 3*v + 10 = 4*d - 5*d. Let m = -3 - v. Is m at least as big as w?
False
Suppose 18 = -7*c + 5*c. Which is greater: c or -8?
-8
Let l = 1 + 8. Is l >= 9?
True
Let v(a) = -a**2 - a + 1. Let k be v(-2). Which is greater: -11/9 or k?
k
Suppose 4*o + 48 = 16. Let p(v) = v + 1. Let d be p(5). Let u = o + d. Does u = -3/2?
False
Let a be ((-8)/(-12))/((-4)/(-6)). Which is smaller: 7/3 or a?
a
Let w = -21 + 23. Which is smaller: -2/7 or w?
-2/7
Let h = 106/7 + -2028/133. Which is greater: h or 0?
0
Let x = -59/5 - -403/35. Let r = -21 + 21.4. Is r < x?
False
Let g = -22 - -31. Let i be 3/g + (-2)/(-3). Which is smaller: i or 1/2?
1/2
Let g be 6*((-8)/(-6) - 0). Let p = 10 - g. Suppose 2*w + p = 6. Is 5/3 != w?
True
Let g = -1.7 + -1.3. Which is smaller: -0.5 or g?
g
Let j = -1166/7 + 166. Let n(v) = 2*v - 3*v - 2*v**3 + 2 + 5*v**2 + 3 + v**3. Let a be n(5). Is j less than a?
True
Let h = -1 - 8. Does -10 = h?
False
Suppose p + y - 3 = 0, 0 = -5*p - 5*y + 2*y + 9. Which is smaller: p or -1/9?
-1/9
Suppose 2*d + 1 = 5*c - 15, -3*d = -6. Suppose 0 = 2*m - 10, -c*j + 2 = -m
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of x**4/6 + 5*x**3/6 + 77*x**2/2 - 155*x. Does 35 divide y(-7)?
True
Suppose -5*x + 29*d = 34*d - 17460, 13980 = 4*x + 2*d. Is x a multiple of 11?
True
Let p(s) = -s**3 - 12*s**2 - 5*s. Let f be p(-5). Let a = f - -517. Is a a multiple of 44?
False
Suppose 138*d + 2694 = 141*d. Let y = d + -362. Is 8 a factor of y?
True
Is 1/(-3) - (12 + (-203196)/36)*1 a multiple of 11?
True
Let p be (-84)/(-18) - -3 - 2/(-6). Suppose -3*r + 987 = 3*h, -4*h + p*h = 2*r + 1322. Is h a multiple of 33?
True
Let r = 13641 + -6417. Is r a multiple of 129?
True
Suppose 3*v + 30 + 44 = z, -v = 0. Suppose -z - 169 = 9*h. Is ((-45)/h)/(2/18) a multiple of 15?
True
Let g = 64 + -60. Suppose -g*w = 9 - 13. Is (w + (-3 - -1))/(3/(-420)) a multiple of 28?
True
Let b(z) = 20*z**3 - 11*z + 3. Let n(c) = 13*c**3 - 7*c + 2. Let v(q) = 5*b(q) - 8*n(q). Let u be v(1). Let i(l) = -l**3 - 2*l**2 + 2*l - 6. Does 3 divide i(u)?
True
Let h(v) = -4 + 4 + 1 - 18*v**2 + 19*v**2. Let y be h(-2). Suppose 0 = y*w - 8*w + 291. Is w a multiple of 29?
False
Suppose -4*v = -3*h - 36, -4 = h - 2*h. Let j(s) = -14*s - 15. Let z(o) = -15*o - 15. Let w(r) = -5*j(r) + 4*z(r). Is 27 a factor of w(v)?
True
Let z = 19345 + -12037. Is 63 a factor of z?
True
Let p(t) = 16*t**2 + 20*t - 3261. Is p(42) a multiple of 141?
True
Suppose 4*g - m + 124 = 0, 0*g + 5*g = -4*m - 155. Let o be g/(-3) + (-1)/3. Suppose o*t = 606 + 184. Does 40 divide t?
False
Suppose 31235*l - 560274 = 31213*l. Is 13 a factor of l?
True
Let i = -48904 + 71024. Does 71 divide i?
False
Suppose -6*f - 106 - 7370 = 0. Let u = -746 - f. Is u a multiple of 25?
True
Let o(h) = h**2 + 42*h - 336. Is 10 a factor of o(10)?
False
Suppose 1737 = 30*r + 10977. Let y = -210 - r. Is y a multiple of 3?
False
Let l = 785 + -560. Let n = -139 + l. Does 86 divide n?
True
Let m be 8/52 + -4*(-37)/52. Is 32 a factor of (-6)/(-15) - 5116/(-30)*m?
True
Let l(s) = -s**3 - s**2 + 2*s. Let o be l(1). Suppose 421 = -5*t + 8*t - 5*z, o = 2*z + 10. Is t a multiple of 31?
False
Is (-171)/(-20 + 1) - -10547 a multiple of 54?
False
Let t(l) be the second derivative of 15*l**4/4 - l**3/2 + 3*l**2 - l - 53. Is t(-2) a multiple of 16?
True
Suppose 366*m = 368*m - 6. Suppose 5*z - u = 254 + 444, 146 = z + m*u. Is 15 a factor of z?
False
Suppose 5*i = 14*i + 1080. Let v = i - -140. Suppose -d = -v - 56. Is 4 a factor of d?
True
Let i = 22850 + -18761. Is i a multiple of 21?
False
Is ((-1952)/366)/((-2)/3 - (-7492)/11244) a multiple of 212?
False
Let q(l) = -4*l**2 + 4*l + 4. Let f be q(3). Suppose 4*w + 5*u - 23 = 0, -3*w - 3 - 3 = -4*u. Does 21 divide w/(f/(-2)) - 11744/(-80)?
True
Let k = -37958 + 39812. Is 6 a factor of k?
True
Suppose 0 = 5*k + 5*h - 5290, 4*k + h = -0*h + 4247. Is 129 a factor of k?
False
Suppose 3*j = -3 + 9. Let m(z) = z**2 - 2*z**2 + 63 + 2*z**j + 3*z**2. Is m(0) a multiple of 14?
False
Let c(k) = 1395*k - 2613. Does 218 divide c(15)?
True
Suppose 0 = 7*u - 5*u - 4, 0 = 2*r + 3*u - 10. Suppose -6 = -r*i + 72. Is i a multiple of 3?
True
Let k be ((-1)/(-2))/(1/252). Let h = k - 71. Let t = 1 + h. Is 16 a factor of t?
False
Let x(d) = 688*d - 559. Does 10 divide x(4)?
False
Let x(u) = 37*u**3 + u**2 - 6*u - 4. Let j be x(3). Let v = 1404 - j. Suppose -p - v = -6*g + 2*g, 2*g - 3*p = 204. Is g a multiple of 15?
True
Let z be (-4)/6*(100/8 - -1). Is 28 a factor of z/(-6) + 7770/28?
False
Let c(g) = 63*g**3 - 49*g**2 + 253*g - 17. Is 14 a factor of c(8)?
False
Suppose 4698 = 10*f - 1042. Let l = f + -275. Suppose -11*y + 915 - l = 0. Is y a multiple of 7?
True
Suppose 6102 = 51*f - 50*f - a, 4*f - a = 24402. Is f a multiple of 122?
True
Suppose 58*c = 66*c - 88. Suppose 3896 = c*p - 6499. Is 15 a factor of p?
True
Let d(n) = 7*n**3 - n**2 + 35*n - 251. Is 24 a factor of d(6)?
False
Let n(l) = -197*l + 695. Does 17 divide n(-24)?
True
Let p(g) = -671*g - 14. Let l be p(-1). Suppose -663*r + l*r + 684 = 0. Is r a multiple of 4?
False
Let r = -1182 - -6638. Is r a multiple of 124?
True
Suppose 0 = v - 84 + 76. Suppose -i - 5*k = -50, -3*i + v*k - 3*k + 250 = 0. Does 5 divide i?
True
Suppose 6*i - 2*i + 5*r = 277, 0 = -i - 5*r + 58. Let s = 354 - i. Is 21 a factor of s?
False
Suppose 7*i - 508 + 151 = 0. Suppose -i*v + 50*v + 319 = 0. Is v a multiple of 30?
False
Is 99 a factor of ((-6)/9*19274)/((-169)/39 + 4)?
False
Let p be (-65)/(-15) - 8/(-12). Suppose 3*n - g = -0*n - 29, -5 = n - p*g. Let k = n - -21. Is k a multiple of 11?
True
Let z(r) = 2*r**3 + 8*r**2 - 146*r - 67. Is z(11) a multiple of 19?
True
Suppose -251 = -4*h + 4*b + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - v wrt v?
-70440*v**3
Find the third derivative of 2058*y**6 - 2030*y**2.
246960*y**3
Find the first derivative of -21*f**3*o**2 - 6*f**3*o - 4*f**3 - f*o**2 - 210*f wrt o.
-42*f**3*o - 6*f**3 - 2*f*o
Find the third derivative of -p**3*q**3 + 37*p**3*q + 314*p**2*q**3 + 3*p*q**2 wrt q.
-6*p**3 + 1884*p**2
Find the third derivative of -2*g**3*v**3 + 2*g**2*v**2 - 848*v**3 wrt g.
-12*v**3
What is the derivative of m**3*y + 4*m**3 - m*y - 724*y wrt m?
3*m**2*y + 12*m**2 - y
Find the second derivative of 7*s**3*w**2 - s**3*w - 2*s**2*w**2 - 9*s*w**2 - 6*s + 2*w**2 wrt s.
42*s*w**2 - 6*s*w - 4*w**2
Differentiate -j**2*q + 2*j**2 + 6*j*q**3 + 2*j - 321*q**4 - 111 with respect to q.
-j**2 + 18*j*q**2 - 1284*q**3
Differentiate -177*y**4 - 359.
-708*y**3
Find the second derivative of 2*b**2*w + 945*b**2 - 311*b*w + w wrt b.
4*w + 1890
What is the third derivative of 161*h**4 + h**2 - 17*h wrt h?
3864*h
Find the second derivative of 3*a**3 - 7*a**2 - 2*a + 254.
18*a - 14
Find the second derivative of -496*f**5 + 308*f wrt f.
-9920*f**3
What is the first derivative of 21460*t**3 + 16668 wrt t?
64380*t**2
Find the second derivative of c**3*f - 149*c**3 + 3*c**2*f**2 - c**2 + c*f**2 + 9*c - 24*f wrt c.
6*c*f - 894*c + 6*f**2 - 2
Find the third derivative of 19*m**6 + 79*m**5 - 74*m**2 - 43 wrt m.
2280*m**3 + 4740*m**2
What is the second derivative of 305*q**5 + 347*q?
6100*q**3
Find the third derivative of 87*q**5 + q**4 - 7*q**2 - 78.
5220*q**2 + 24*q
What is the second derivative of -446*o**5 + 15*o**3 + 21401*o wrt o?
-8920*o**3 + 90*o
What is the second derivative of -7*n**3 + 9*n**2 - 277*n + 1?
-42*n + 18
What is the derivative of 19*o**2*r - o**2 - 92*o*r**3 - 14*o + 6 wrt r?
19*o**2 - 276*o*r**2
Find the first derivative of -51*y**2 + 19*y - 2886 wrt y.
-102*y + 19
Differentiate -86*n**2*r - 2976*n**2 + 2*n*r - 2*r wrt r.
-86*n**2 + 2*n - 2
Find the second derivative of l**2*r*z**2 + l**2*r*z + 5*l*n*r*z**2 - l*r*z**2 - 9*n*r*z - n*r + n*z wrt z.
2*l**2*r + 10*l*n*r - 2*l*r
Find the first derivative of -b**3*g*v**3 - 949*b**3*g - 50*b**3*v**2 - 3*b**3*v - b**2*v**3 wrt g.
-b**3*v**3 - 949*b**3
What is the third derivative of 2*f**2*p**3 + 134*f**2*p**2 + 2*f**2 + 1566*f*p**4 + f*p**2 wrt p?
12*f**2 + 37584*f*p
What is the third derivative of 2*m**6 + 29*m**5 - 19*m**4 + m**2 + 58*m + 10?
240*m**3 + 1740*m**2 - 456*m
Find the first derivative of -84*u**2 - 4*u - 2974.
-168*u - 4
Find the third derivative of 1360*o**3 - 1359*o**2.
8160
What is the third derivative of -150*b*f**4 - 2*b*f**2 + 9*f**2 wrt f?
-3600*b*f
What is the second derivative of 29*p**5*q**2 + 70*p**5 + 1025*p*q**2 - 2*p wrt p?
580*p**3*q**2 + 1400*p**3
What is the third derivative of 1339*k*p**3 - 2*k*p + 35*k + 2*p**2 wrt p?
8034*k
What is the second derivative of 74*c**2 + 313*c - 3 wrt c?
148
What is the second derivative of -2455*z**3 + 2817*z wrt z?
-14730*z
Find the second derivative of -7*f**3 + 65*f**2*i + 11*f*i - 2*f - 8*i wrt f.
-42*f + 130*i
What is the third derivative of -3*u**5 - 4*u**4 - 58*u**3*z - u**3 + 810*u**2*z + 4*u**2 wrt u?
-180*u**2 - 96*u - 348*z - 6
What is the derivative of -4573*t**2 - 4981 wrt t?
-9146*t
What is the third derivative of 34*c**2*q**3 - 78*c**2 - 4*c*q**4 + q**2 wrt q?
204*c**2 - 96*c*q
What is the second derivative of -z**3 - 813*z**2 + 6415*z wrt z?
-6*z - 1626
What is the third derivative of 4277*b*g**3*w**3 - 22*b*g**3*w**2 - 102*b*g**3 - b*g**2*w**3 - 2*b*g*w**2 - w wrt w?
25662*b*g**3 - 6*b*g**2
What is the third derivative of 4080*l**5 + 1212*l**2 + 2*l + 2?
244800*l**2
Find the third derivative of -220*j**2*m**6 - 12*j**2*m - 2*j - 2*m**2 wrt m.
-26400*j**2*m**3
What is the first derivative of -n**4 - 63*n**2 + 7469?
-4*n**3 - 126*n
Find the second derivative of -2*k**3*o**3 + k**3*o + 4*k**2*o**3 + 58*k*o**3 - k*o - o**3 wrt k.
-12*k*o**3 + 6*k*o + 8*o**3
What is the second derivative of -8*o**3 - o**2 - 200*o - 2?
-48*o - 2
What is the second derivative of -24*b**3*l**2*q - 2*b**3*l*q**2 - 3*b**3*q + 3*b**3 + 12771*b**2*l**2*q**2 + b**2*l**2 wrt q?
-4*b**3*l + 25542*b**2*l**2
Find the second derivative of -5*x**5 + 528*x**2 + 4822*x.
-100
|
{
"pile_set_name": "DM Mathematics"
}
|
03, -437, -1111, -2459, -4715?
-39*d**3 + 14*d**2 - 3*d - 175
What is the z'th term of 568709511, 1137419024, 1706128537, 2274838050, 2843547563, 3412257076?
568709513*z - 2
What is the s'th term of -55540285, -55540284, -55540283?
s - 55540286
What is the d'th term of 119720, 239423, 359126, 478829?
119703*d + 17
What is the f'th term of -2139, -1570, -663, 576, 2141, 4026?
-f**3 + 175*f**2 + 51*f - 2364
What is the r'th term of 183888436, 367776873, 551665310?
183888437*r - 1
What is the i'th term of 93450, 186949, 280448, 373947?
93499*i - 49
What is the f'th term of -28998044, -28998045, -28998046, -28998047, -28998048?
-f - 28998043
What is the h'th term of 131908, 134536, 138922, 145072, 152992, 162688, 174166, 187432?
h**3 + 873*h**2 + 2*h + 131032
What is the v'th term of 42041, 41993, 41941, 41885, 41825, 41761, 41693?
-2*v**2 - 42*v + 42085
What is the j'th term of -808, -1035, -1424, -1969, -2664, -3503?
j**3 - 87*j**2 + 27*j - 749
What is the o'th term of -138380, -136634, -134888, -133142?
1746*o - 140126
What is the h'th term of -122, -291, -564, -971, -1542, -2307, -3296?
-5*h**3 - 22*h**2 - 68*h - 27
What is the f'th term of -69451, -138882, -208313, -277744?
-69431*f - 20
What is the n'th term of -74804, -149660, -224516, -299372?
-74856*n + 52
What is the n'th term of -18008, -17880, -17744, -17594, -17424, -17228, -17000?
n**3 - 2*n**2 + 127*n - 18134
What is the m'th term of 52153, 104740, 157327, 209914?
52587*m - 434
What is the a'th term of -1190, -1767, -1924, -1655, -954, 185?
a**3 + 204*a**2 - 1196*a - 199
What is the i'th term of 946, -1768, -8148, -18194, -31906?
-1833*i**2 + 2785*i - 6
What is the a'th term of -366, -375, -462, -675, -1062?
-8*a**3 + 9*a**2 + 20*a - 387
What is the m'th term of -4394, -11593, -18792?
-7199*m + 2805
What is the q'th term of 141356, 282740, 424076, 565340, 706508?
-4*q**3 + 141412*q - 52
What is the a'th term of -341228, -682299, -1023370?
-341071*a - 157
What is the j'th term of 24510, 25187, 25864?
677*j + 23833
What is the n'th term of 123252, 985700, 3326632, 7885290, 15400916, 26612752, 42260040, 63082022?
123207*n**3 - n + 46
What is the q'th term of -39519, -39679, -39949, -40335, -40843, -41479?
-q**3 - 49*q**2 - 6*q - 39463
What is the s'th term of 105415, 210820, 316221, 421618, 527011?
-2*s**2 + 105411*s + 6
What is the p'th term of -10438, -39464, -87076, -153274, -238058?
-9293*p**2 - 1147*p + 2
What is the f'th term of -176888, -177086, -177284, -177482, -177680, -177878?
-198*f - 176690
What is the g'th term of -7139177, -14278349, -21417501, -28556627, -35695721, -42834777, -49973789?
g**3 + 4*g**2 - 7139191*g + 9
What is the i'th term of 57270, 57818, 58378, 58956, 59558, 60190, 60858?
i**3 + 541*i + 56728
What is the q'th term of -155226, -310475, -465724?
-155249*q + 23
What is the u'th term of 64266, 64288, 64332, 64398, 64486, 64596?
11*u**2 - 11*u + 64266
What is the i'th term of 8196, 8758, 9292, 9804, 10300?
i**3 - 20*i**2 + 615*i + 7600
What is the l'th term of -49606610, -99213216, -148819822, -198426428, -248033034, -297639640?
-49606606*l - 4
What is the b'th term of 188898, 191073, 193248?
2175*b + 186723
What is the n'th term of -1229008, -2458031, -3687054?
-1229023*n + 15
What is the p'th term of -27388, -54634, -81880, -109126?
-27246*p - 142
What is the v'th term of 58490, 467869, 1579018, 3742817, 7310146, 12631885, 20058914?
58480*v**3 + 5*v**2 + 4*v + 1
What is the o'th term of 97, 6, -559, -1832, -4047, -7438, -12239, -18684?
-39*o**3 - 3*o**2 + 191*o - 52
What is the b'th term of -380717, -380712, -380709, -380714, -380733, -380772?
-b**3 + 5*b**2 - 3*b - 380718
What is the h'th term of 6233, 11776, 17431, 23252, 29293, 35608?
9*h**3 + 2*h**2 + 5474*h + 748
What is the l'th term of 4695, 4691, 4709, 4755, 4835, 4955?
l**3 + 5*l**2 - 26*l + 4715
What is the r'th term of -7644, -8383, -9616, -11343, -13564?
-247*r**2 + 2*r - 7399
What is the o'th term of 6995, 7019, 7049, 7079, 7103, 7115?
-o**3 + 9*o**2 + 4*o + 6983
What is the q'th term of 12831357, 25662715, 38494073, 51325431, 64156789?
12831358*q - 1
What is the g'th term of 1711795, 6847181, 15406159, 27388729, 42794891, 61624645?
1711796*g**2 - 2*g + 1
What is the h'th term of 3418, 14599, 33092, 58897, 92014, 132443?
3656*h**2 + 213*h - 451
What is the o'th term of -97819
|
{
"pile_set_name": "DM Mathematics"
}
|
ked without replacement from {s: 2, r: 1, e: 1}?
1/6
What is prob of sequence np when two letters picked without replacement from {q: 3, p: 1, m: 1, n: 6, e: 1}?
1/22
Calculate prob of sequence sns when three letters picked without replacement from evpnknks.
0
Two letters picked without replacement from {f: 3, i: 1, g: 1, r: 6, n: 1, a: 3}. What is prob of sequence ai?
1/70
Calculate prob of sequence vrrr when four letters picked without replacement from rrrrvrrrrrrv.
4/33
What is prob of sequence jhd when three letters picked without replacement from dhudjhuurhhhuj?
5/546
Two letters picked without replacement from emokekmeevem. Give prob of sequence om.
1/44
Three letters picked without replacement from {q: 2, s: 2, f: 1, m: 4, n: 1}. Give prob of sequence sqm.
1/45
Calculate prob of sequence vvk when three letters picked without replacement from {c: 1, v: 2, k: 1, p: 3}.
1/105
Two letters picked without replacement from ssysyssssssssssysyss. Give prob of sequence ys.
16/95
Two letters picked without replacement from {c: 2, z: 2, s: 1, o: 6}. Give prob of sequence sc.
1/55
Two letters picked without replacement from {e: 3, y: 2, a: 1, k: 1, t: 4}. Give prob of sequence ee.
3/55
What is prob of sequence opo when three letters picked without replacement from {z: 2, p: 7, o: 5}?
5/78
What is prob of sequence tbb when three letters picked without replacement from {t: 1, m: 3, b: 16}?
2/57
Three letters picked without replacement from zeo. Give prob of sequence ozz.
0
What is prob of sequence bvqv when four letters picked without replacement from vvvqvkvvvvkvqvvvvvb?
91/23256
What is prob of sequence dp when two letters picked without replacement from {y: 1, p: 1, d: 1, x: 1, w: 1}?
1/20
Calculate prob of sequence ni when two letters picked without replacement from innninn.
5/21
What is prob of sequence gwp when three letters picked without replacement from {a: 3, p: 1, g: 7, w: 1, k: 2}?
1/312
Four letters picked without replacement from {k: 2, j: 2, d: 4, r: 3}. Give prob of sequence kddk.
1/330
Two letters picked without replacement from {x: 3, v: 3}. Give prob of sequence vx.
3/10
Three letters picked without replacement from ogwujwgwkjku. What is prob of sequence gkj?
1/165
Three letters picked without replacement from {n: 2, w: 3, u: 1, h: 1, f: 3, p: 1}. Give prob of sequence nuw.
1/165
Calculate prob of sequence vgrv when four letters picked without replacement from grgrkvvkvgkrgkv.
2/455
What is prob of sequence eeb when three letters picked without replacement from {z: 1, l: 3, b: 4, e: 6}?
5/91
What is prob of sequence fk when two letters picked without replacement from knwwnwnwfnnnkffnw?
3/136
What is prob of sequence ly when two letters picked without replacement from {l: 7, d: 1, g: 8, h: 2, y: 2}?
7/190
Four letters picked without replacement from {o: 4, e: 2, w: 12, k: 1}. Give prob of sequence owwo.
11/646
Calculate prob of sequence ny when two letters picked without replacement from {y: 3, s: 3, n: 2}.
3/28
What is prob of sequence rrzb when four letters picked without replacement from {y: 2, b: 1, z: 1, r: 3, w: 1, k: 5}?
1/2860
What is prob of sequence ssj when three letters picked without replacement from minisjns?
1/168
What is prob of sequence yzn when three letters picked without replacement from {b: 3, y: 3, a: 3, z: 1, n: 8}?
1/204
Calculate prob of sequence wl when two letters picked without replacement from lwhqwq.
1/15
Four letters picked without replacement from dgggddddddegd. Give prob of sequence eddg.
28/2145
Three letters picked without replacement from {a: 3, g: 2, u: 4, p: 1, c: 2}. Give prob of sequence pga.
1/220
Two letters picked without replacement from ffffffzslhslhhhllf. Give prob of sequence lf.
14/153
Two letters picked without replacement from {c: 1, b: 1, l: 1}. What is prob of sequence cl?
1/6
Two letters picked without replacement from emssmmssmmsmmmmmsmm. Give prob of sequence me.
2/57
Calculate prob of sequence wsi when three letters picked without replacement from smmeewi.
1/210
Calculate prob of sequence nx when two letters picked without replacement from knnnynwxn.
5/72
Calculate prob of sequence yto when three letters picked without replacement from ztyttozzyzffoofo.
1/140
Four letters picked without replacement from knhygjg. What is prob of sequence yghg?
1/420
Three letters picked without replacement from {u: 3, r: 4, o: 2, i: 1, e: 2}. Give prob of sequence uie.
1/220
Three letters picked without replacement from aahohhhoh. What is prob of sequence ooa?
1/126
Two letters picked without replacement from gggxaggggggggmx. What is prob of sequence gm?
11/210
What is prob of sequence nvi when three letters picked without replacement from nnxxxxvgxvgvixxv?
1/420
Calculate prob of sequence fuf when three letters picked without replacement from {u: 7, f: 2}.
1/36
Calculate prob of sequence tbcr when four letters picked without replacement from {b: 5, r: 7, t: 1, c: 1, f: 5}.
35/93024
What is prob of sequence nn when two letters picked without replacement from {n: 5, j: 1, e: 5, m: 6}?
5/68
Calculate prob of sequence vvkk when four letters picked without replacement from kkvkkkvkkkv.
7/165
What is prob of sequence kkkg when four letters picked without replacement from {g: 9, k: 9}?
21/340
What is prob of sequence qsds when four letters picked without replacement from sqsqrrsrrood?
1/990
Two letters picked without replacement from vtd. What is prob of sequence tv?
1/6
Calculate prob of sequence qq when two letters picked without replacement from {q: 7}.
1
What is prob of sequence vz when two letters picked without replacement from {z: 7, v: 2}?
7/36
Four letters picked without replacement from egcgellevlbcvccebll. Give prob of sequence eccg.
1/969
What is prob of sequence qeq when three letters picked without replacement from aeasqqa?
1/105
What is prob of sequence hhe when three letters picked without replacement from {e: 4, h: 3}?
4/35
Calculate prob of sequence ll when two letters picked without replacement from {t: 7, u: 1, l: 3, p: 5}.
1/40
What is prob of sequence tt when two letters picked without replacement from qtqqtqqqqq?
1/45
Four letters picked without replacement from jjmjmjm. What is prob of sequence mmjj?
3/35
What is prob of sequence ttt when three letters picked without replacement from ttst?
1/4
Calculate prob of sequence eee when three letters picked without replacement from {u: 2, d: 11, h: 1, e: 5, z: 1}.
1/114
Four letters picked without replacement from {f: 10, a: 4, m: 6}. What is prob of sequence maff?
6/323
What is prob of sequence wwxw when four letters picked without replacement from {w: 8, m: 1, q: 1, e: 1, x: 1, o: 2}?
2/143
What is prob of sequence ot when two letters picked without replacement from {o: 5, t: 8}?
10/39
Calculate prob of sequence bxgp when four letters picked without replacement from oobpxnogbnbo.
|
{
"pile_set_name": "DM Mathematics"
}
|
432) - 3*(sqrt(432) - 2*sqrt(432))) + sqrt(147) + 1 + 5).
-331*sqrt(3)/6 - 6
Simplify -4*((sqrt(170)*1*4 + (4*sqrt(170)*-1 - sqrt(170) - sqrt(170)))/(5*(sqrt(10) - sqrt(160))*-5) + 0).
8*sqrt(17)/75
Simplify (sqrt(280)/(sqrt(10) + -4*sqrt(40)))/(-3*(sqrt(24) + sqrt(48)/sqrt(2))/sqrt(6)).
sqrt(7)/42
Simplify 3 + (sqrt(171)*3 + sqrt(171))*1 + 5 - ((-1*((sqrt(171) + -1)*2 + sqrt(171)))**2 + 1).
-1536 + 48*sqrt(19)
Simplify (-2 + (-4 + 1*sqrt(396) + (-1*(sqrt(396) + -1 + sqrt(396)) - sqrt(396)))*2 + 1*((sqrt(396) - (sqrt(396) + 1)) + sqrt(396))*-1 + 4)**2.
180*sqrt(11) + 9909
Simplify (((sqrt(30) - sqrt(60)/sqrt(2))*2 - sqrt(30))*5)/(sqrt(66)/((sqrt(704) - -1*sqrt(704)) + sqrt(704) + sqrt(704)))*2 + -4.
-320*sqrt(5) - 4
Simplify (3 + 2 + -2 + sqrt(396) + 0 - ((sqrt(396)*3*4 - sqrt(396)) + (sqrt(396) - (sqrt(396) - (4 + 1 + sqrt(396))))))**2*3.
792*sqrt(11) + 143760
Simplify 3 + ((-2*sqrt(133)*-2)/(sqrt(28)/sqrt(4)*4) - (1 + 3*(sqrt(1216) + -2))).
-23*sqrt(19) + 8
Simplify -3*((sqrt(162) + 1)*3 + sqrt(162) + sqrt(162) + -3 + sqrt(162) + -1 + sqrt(162) + (sqrt(162) + sqrt(162)*2)*-6 + 4)**2.
-58833 + 1782*sqrt(2)
Simplify ((1*((sqrt(228) - -1*-1*sqrt(228)) + sqrt(228) + (sqrt(228) - -1*sqrt(228))*2))/((1*sqrt(12)*2 - sqrt(12))*2*2))**2.
475/16
Simplify ((3*(sqrt(85) - ((sqrt(85)*3 - sqrt(85)) + sqrt(85))*-6))/((sqrt(120)/sqrt(6))/sqrt(4)*2)*6)**2*5.
2485485
Simplify -4 + (sqrt(1470) + 2*((5*sqrt(1470) + sqrt(1470) - sqrt(1470) - sqrt(1470) - sqrt(1470)) + sqrt(1470)))/(5*(4*sqrt(90) + sqrt(90))) + 4.
21*sqrt(3)/25
Simplify ((5*-3*sqrt(1617))/(sqrt(77)/(sqrt(7)*-4*4))*6)**2.
304819200
Simplify (2 + -3*(-5*sqrt(2448) + sqrt(17)) - (sqrt(425) + 0 + 3 + sqrt(425) + 3))**2*1.
-1336*sqrt(17) + 474129
Simplify ((3*(sqrt(2916) + 5*2*sqrt(2916)))/((sqrt(60)/(sqrt(5)*2 - sqrt(5)) + sqrt(12) - (sqrt(48)/sqrt(4)*5 + sqrt(12)))*-3))**2.
29403/16
Simplify (-2*sqrt(104)*-2)/(sqrt(8) + (sqrt(288) - (sqrt(288) + (sqrt(288) - 1*sqrt(288)) + sqrt(288)))) + (3 + sqrt(1300)*2)*2*2.
12 + 396*sqrt(13)/5
Simplify -2*((5 + 1*sqrt(1377) + (sqrt(1377) - ((1*sqrt(1377) - sqrt(1377)) + 3 - sqrt(1377))))*6 + -4 + 4)**2.
-892584 - 7776*sqrt(17)
Simplify ((sqrt(49) + 2*sqrt(147)/sqrt(3) - (sqrt(392)*3)/sqrt(8))/((sqrt(84)/(sqrt(8)/sqrt(4)))/(sqrt(6) + (sqrt(216) - sqrt(216)*-2) + sqrt(216))))**2.
0
Simplify (6*((-2*(sqrt(833) + sqrt(833)*3) + -3 - ((sqrt(833) - -6*(0 + sqrt(833))) + sqrt(833))*-3) + 4))**2.
8064*sqrt(17) + 7676964
Simplify ((1 + sqrt(325) + -2)*-4 + (-3*sqrt(13)*1 - (-1 + sqrt(1053))))**2.
-320*sqrt(13) + 13337
Simplify (((-1 + sqrt(99) + sqrt(99))*-5 - sqrt(99)/((sqrt(99)*2)/sqrt(11) - sqrt(9))) + (-5 + 2 + sqrt(110)/(sqrt(30)/sqrt(3)))*-2)**2.
-726*sqrt(11) + 12100
Simplify (1*sqrt(1323) + sqrt(243)/(sqrt(225) - sqrt(9)))/(6*6*sqrt(27)/(sqrt(12)/sqrt(4))).
29*sqrt(3)/144
Simplify ((2*sqrt(70)/sqrt(2) - sqrt(35))/sqrt(5) - (sqrt(700) + 0 + 0 + sqrt(700))**2) + ((-5*sqrt(1008) + 5)*6)**2.
-21599*sqrt(7) + 905300
Simplify (1*(-3*sqrt(80) - sqrt(80))*-4)**2 - (sqrt(20)/(1*sqrt(64))*3)**2.
327635/16
Simplify (sqrt(468) - -1*(sqrt(468) + -3 - sqrt(468)) - (sqrt(468) + sqrt(468) + -2*sqrt(468) - sqrt(468))*-2)**2 + -2*(4 + (1*sqrt(468))**2 + -2*sqrt(468)*6).
-467 + 180*sqrt(13)
Simplify (-4 + sqrt(500)*-1 + 0 + (sqrt(500) + (sqrt(500) + 0)*2 - (sqrt(500) + 6*(sqrt(500) + sqrt(500) + (sqrt(500) - (1*sqrt(500) - sqrt(500)))))))**2 + 3.
1360*sqrt(5) + 144519
Simplify ((sqrt(3) - -4*(-1 + sqrt(3)) - (sqrt(3) - (sqrt(6)/sqrt(2)*1 + sqrt(3)))) + 5*3*sqrt(48) + -3 + 1)**2.
-792*sqrt(3) + 13104
Simplify 1*(6*((-3 + sqrt(605)*-3 + 1)*4)**2*4 + -2).
50688*sqrt(5) + 2092414
Simplify ((sqrt(99) + sqrt(99) + sqrt(99)*-1*-4)/(sqrt(54)/sqrt(6)*-2))**2 + (sqrt(88)/sqrt(4)*-1 - sqrt(22))/(sqrt(224)/sqrt(7)) + 3.
-sqrt(11)/2 + 102
Simplify (1*(-2 + (sqrt(1300) - (5 + -1*sqrt(1300) - sqrt(1300))) + (2 + sqrt(1300)*2)**2) + -2)*-1.
-5195 - 110*sqrt(13)
Simplify (1*((3*(-2*sqrt(1053) - sqrt(1053)) - (sqrt(1053) + sqrt(1053)*2 + 4 - sqrt(1053))) + -3 + (sqrt(1053) - (sqrt(1053) + -2 + sqrt(1053))*1)))**2*-2.
-303314 - 2160*sqrt(13)
Simplify -1 + (-6*(4 + (sqrt(1377) - sqrt(17))))**2 - (-3*(2*sqrt(153) - sqrt(153) - sqrt(153)))/((sqrt(9) - (sqrt(9) + sqrt(9)*1))*3).
2304*sqrt(17) + 39743
Simplify (-4*(sqrt(68) + (-3 + sqrt(68) + (sqrt(68) - -4*sqrt(68)) + sqrt(68) - sqrt(68)) - sqrt(68)) - (5 + (sqrt(68) - (sqrt(68) + 4)) + sqrt(68) + -4))**2.
-1500*sqrt(17) + 42725
|
{
"pile_set_name": "DM Mathematics"
}
|
= -l. Let y be q(-1). Let o(h) = -6*h**3 - 5*h**2 - h + 1. Let w(f) = -f**3 - f**2. Let p(i) = o(i) - 4*w(i). Determine p(y).
-3
Let f(q) = -2*q + 7 + 5*q - 2 - 1. Give f(3).
13
Let c(q) = -q**2 + 5*q + 6. Let x = 5 + 1. What is c(x)?
0
Let c = 6 + -8. Let r(n) = -2*n + 6. Let u(k) be the third derivative of -k**4/6 + 2*k**3 - k**2. Let s(f) = c*u(f) + 5*r(f). Determine s(4).
-2
Let u(w) = 6*w**3 - 6*w**2 + w. Let g(z) = 5*z**3 - 5*z**2 + z. Suppose 2*j - 3 = 5. Let y(v) = j*u(v) - 5*g(v). Let a be (-3 + (1 - -2))/(-2). What is y(a)?
0
Let s = 5 - 2. Suppose c = -2 + s. Let t = c + -5. Let v(j) = -j**2 - 5*j - 3. Calculate v(t).
1
Let g(t) = -t + 8 + 0 - t**2 - 3. Let o be g(0). Let m(x) be the third derivative of x**6/120 - x**5/15 - 5*x**4/24 - x**3/3 + 7*x**2. Calculate m(o).
-2
Let n(w) = w**2 + 4*w + 1. Let a(r) = r**3 + 7*r**2 - 6*r + 11. Let z be a(-8). Give n(z).
6
Let t be 5 + 0 + (1 - 5). Let y(p) be the first derivative of -2*p + t - 1/2*p**2. Determine y(4).
-6
Let c(s) = s**3 + 6*s**2. Suppose -8*k - 27 - 21 = 0. Determine c(k).
0
Let p(x) be the second derivative of x**5/10 + x**4/6 - x**2/2 + 20*x. Let o(c) = -c**2 + 5*c - 4. Let y be o(4). Suppose 0 = w - 1 - y. What is p(w)?
3
Let q = 30 - 26. Let t(a) = -a**2 + 2*a + 5. Give t(q).
-3
Let r(q) = -17*q**3 - q**3 + 11*q + 2*q**2 + 5*q - 15*q. Determine r(-1).
19
Let a(p) = -2*p - 3*p + 3*p**2 + 3 + 0*p**3 + p**3. Let d(w) = -w**3 - w + w + w**2 - 4. Let h be d(0). What is a(h)?
7
Let f(x) = x**2 - 1 + 31*x - 30*x + 2. Determine f(-3).
7
Suppose 6*a = 2*a - 4. Let w(b) = -b. Let t(f) = f**2 + f + 3. Let o(n) = a*t(n) + 5*w(n). Let c be o(-4). Let h(r) = r**2 - 6*r + 5. Give h(c).
0
Let k(h) be the first derivative of -h**2/2 - h - 1. Let p be k(0). Let a(z) be the second derivative of -z**4/4 + z**2/2 + 4*z. Give a(p).
-2
Let x be (-1)/2*1/((-3)/(-18)). Let o(w) = w**3 + 3*w**2 - 3. What is o(x)?
-3
Let i(s) = 0*s - 3*s - 2 + 0*s - 3*s. What is i(-2)?
10
Suppose -2*o + 12 = o. Let d(r) be the third derivative of -r**5/60 + r**4/8 - 5*r**3/6 + r**2. Determine d(o).
-9
Let h(y) = -y**2 + 4*y + 9. Suppose 12*z = 10 + 74. Determine h(z).
-12
Let q(v) = -v**2 - 11*v - 11. Let i(s) = -s**2 - 5*s - 5. Let c(d) = 9*i(d) - 4*q(d). Let u be -1*(-1 - (-1 - 1)). Let t be u/(-1*2/(-2)). What is c(t)?
-5
Let v(b) be the third derivative of b**6/120 + b**5/12 + 5*b**4/24 - 2*b**3/3 - b**2. Suppose -n - 3 = 2*i + 5, 5*n + 12 = 4*i. What is v(n)?
-8
Let k(o) = 5*o**2 + 7*o - 4. Suppose -2*v = -c + 8, c + 3 - 17 = 5*v. Let j(t) = 3*t**2 + 4*t + 3 - 6 + 1. Let m(n) = c*k(n) - 7*j(n). Calculate m(-2).
-6
Let i(u) = u**2 + 9*u + 2. Suppose -4*b - 30 = 3*o, -1 = 4*o - 3*b + 14. Calculate i(o).
-16
Let h(f) be the second derivative of -f - 3/2*f**2 - 1/2*f**3 + 0 + 1/12*f**4. Give h(4).
1
Let m(q) be the second derivative of -13*q**7/2520 - q**6/720 - q**5/120 - q**4/12 - 4*q. Let i(z) be the third derivative of m(z). Determine i(-1).
-13
Let r(x) = 2*x - 1. Let s = -16 + 24. Suppose -3*w + 75 = 4*m, -s*m + 2*w + 65 = -3*m. Suppose 0 = -2*u + 6*u - 5*f - 27, -3*u + m = -2*f. Give r(u).
5
Let u = 9 - -1. Suppose -3*r = r + 2*v + 16, 0 = r - 3*v - u. Let i(j) = 9*j - 17. Let o(h) = -5*h + 9. Let z(l) = -6*i(l) - 11*o(l). Give z(r).
1
Let i(g) = 0*g**2 + 4*g + 3 - 5*g**2 + 6*g**2. Determine i(-3).
0
Let r(g) = 2 - 2 + 6*g + 3. Suppose -7*i + 9 - 23 = 0. What is r(i)?
-9
Let u(l) = -13 - 4 + 43 + 4*l + 35. Let c(k) = k + 15. Let t(o) = -9*c(o) + 2*u(o). Let x be t(-10). Let a(q) = q**2 + 3*q + 1. What is a(x)?
1
Suppose 2*l - 5 - 1 = 0, -4*l = -2*k - 4. Let v(b) = b**2 - 4*b + 2. Give v(k).
2
Suppose 0*k - 5*k + 5 = 0. Let m(d) = -5*d - 2. Let y(j) = -15*j - 5. Let l(g) = -8*m(g) + 3*y(g). Calculate l(k).
-4
Let g(w) = -w + 8. Let y be g(6). Let d = y - 0. Let z(l) = -d + 2*l - 4*l**2 + 1 - l**3 + 8*l**2. What is z(4)?
7
Let p
|
{
"pile_set_name": "DM Mathematics"
}
|
4 (base 16) in base 8?
-172324
-3a3ab (base 14) to base 4
-203001003
What is 2232104303 (base 5) in base 7?
60063252
Convert -315782 (base 9) to base 12.
-90962
7b7093 (base 15) to base 14
ad6ad9
Convert -4951a (base 14) to base 3.
-100010001010
Convert 16743 (base 9) to base 14.
42c5
What is -115234 (base 8) in base 5?
-2231310
What is -1085565 (base 10) in base 7?
-12140625
33333313 (base 5) to base 2
1000111100001011110
What is 514142 (base 7) in base 4?
111131033
What is 1000012101011 (base 3) in base 15?
a895a
Convert 845953 (base 10) to base 16.
ce881
2785360 (base 11) to base 8
22224503
Convert -7c830 (base 13) to base 9.
-376280
-13440102111 (base 5) to base 4
-1002301102232
111100011001101011100 (base 2) to base 9
3645882
Convert 1121111202 (base 4) to base 6.
11502030
What is -30254201 (base 7) in base 3?
-11201220122212
57369 (base 11) to base 14
2233a
-314352 (base 6) to base 9
-38135
-11112344432 (base 5) to base 14
-18a5642
-413da (base 14) to base 10
-157188
Convert -21301022322 (base 4) to base 15.
-358ad3
What is 101010011111101110 (base 2) in base 10?
174062
-98082 (base 11) to base 13
-4cb31
Convert 100131100123 (base 4) to base 10.
4314139
Convert -10971f (base 16) to base 2.
-100001001011100011111
Convert 1b3958 (base 12) to base 5.
110432401
Convert -1af5b (base 16) to base 3.
-12121110220
-15243024 (base 6) to base 13
-159454
2123100301 (base 4) to base 12
268041
What is -325688 (base 9) in base 7?
-1436666
Convert 458c6a (base 13) to base 5.
410211134
Convert -120120010111 (base 3) to base 8.
-1126142
Convert 311253101 (base 6) to base 13.
1168678
-46b752 (base 15) to base 6
-200240135
130231420 (base 5) to base 4
2122220100
Convert 21001220010001 (base 3) to base 8.
16252444
What is -4778a3 (base 14) in base 6?
-124153303
What is -1023112040 (base 5) in base 6?
-114145130
1313323013 (base 4) to base 13
142772
Convert -211111000201 (base 3) to base 13.
-126562
What is 5258 (base 12) in base 11?
6839
What is -72926 (base 14) in base 11?
-17956a
832630 (base 9) to base 12
1b9aa6
Convert -492a28 (base 11) to base 13.
-213c85
34b3a (base 13) to base 8
274173
-624399 (base 11) to base 9
-1785567
163321b (base 12) to base 9
8488775
1011100101010101000 (base 2) to base 15
776e0
What is -186b73 (base 12) in base 5?
-102124014
17c41 (base 13) to base 3
2100010111
Convert 33753 (base 11) to base 7.
262223
Convert -d16591 (base 15) to base 4.
-211323233023
Convert -111110010100100 (base 2) to base 7.
-162012
1033442234 (base 5) to base 11
12a7257
-2122913 (base 12) to base 15
-83bd79
Convert 15057071 (base 8) to base 4.
31011320321
32893 (base 15) to base 7
1236054
11011110010001101111010 (base 2) to base 10
7283578
3451333 (base 7) to base 12
18a49a
Convert ad50 (base 14) to base 7.
153430
What is 1101100000011110101 (base 2) in base 13?
126602
Convert 1142262 (base 7) to base 9.
240666
What is -367080 (base 15) in base 10?
-2605620
-286ab (base 16) to base 5
-20244142
Convert -123306 (base 16) to base 10.
-1192710
37008 (base 16) to base 10
225288
Convert 29433a (base 12) to base 16.
a8dde
What is 111302010020 (base 4) in base 13?
124c067
What is 113353215 (base 6) in base 11?
1225388
Convert -453255 (base 8) to base 11.
-a5169
What is -11212020112122 (base 3) in base 4?
-21312223022
-150441c (base 13) to base 6
-355241003
Convert 820b (base 16) to base 8.
101013
Convert -383997 (base 11) to base 6.
-20551033
Convert -5e50a (base 16) to base 3.
-201121220221
What is -2506 (base 15) in base 4?
-1323021
What is -5777b (base 12) in base 2?
-11100100010001111
-100020110 (base 4) to base 9
-110558
Convert 1483187 (base 9) to base 2.
11001000110011001000
1db22 (base 16) to base 10
121634
What is -1a89809 (base 11) in base 8?
-15313533
What is 527217 (base 8) in base 12?
85867
What is -21522203 (base 6) in base 13?
-199242
10200112211220 (base 3) to base 15
28a896
Convert -222002123 (base 4) to base 15.
-36042
Convert 11655161 (base 7) to base 9.
1878312
Convert 861192 (base 10) to base 15.
12027c
Convert -1873156 (base 11) to base 15.
-4283db
What is -8e6c52 (base 15) in base 5?
-3220304102
What is 100001101100001001 (base 2) in base 11?
94749
Convert -6aa01 (base 13) to base 14.
-51107
Convert 1211002210011 (base 3) to base 2.
11101011111101100000
Convert -642393 (base 10) to base 3.
-1012122012100
Convert 22bd9d9 (base 14) to base 13.
35905a7
-88581 (base 10) to base 3
-11111111210
-42a1b3 (base 12) to base 16
-101697
Convert 1319554 (base 10) to base 7.
14134045
What is -a148e8 (base 15) in base 10?
-7659893
What is -112122201001121 (base 3) in base 6?
-434534411
-2242214 (base 7) to base 5
-32414221
3701336 (base 11) to base 10
6443773
Convert 24201230 (base 5) to base 7.
1625350
Convert -202130210020 (base 4) to base 9.
-17882617
Convert -12db03 (base 15) to base 12.
-378a56
What is -11000334 (base 5) in base 11?
-64563
-14574b (base 12) to base 10
-341483
Convert -1003a68 (base 13) to base 9.
-10078547
Convert -1041807 (base 9) to base 10.
-559069
What is 731421 (
|
{
"pile_set_name": "DM Mathematics"
}
|
What is (-14292)/(-136) - (-2262)/(-25636)?
105
Evaluate 9 + 3 + (-1 - 6) + -283 + 281.
3
Evaluate 0 - (0 + 4/26 - ((-13630)/130 - 15)).
-120
Evaluate 6/3552*5188 + (-13)/(-52) - (7 + 2).
1/74
Evaluate (-67)/((-27872)/156) + (-1575)/(-24).
66
What is (8 + -2 - 1008/140)/(((-4)/(-4))/(-45))?
54
What is the value of (14 + 62 + -54)/(6 + 3 + 6)?
22/15
What is the value of 1047/(-156)*(-7 + 11) + (-550)/3575?
-27
Calculate 10/4 - (-391)/(-46)*8/34.
1/2
Evaluate (25 + 9106/(-261))*9.
-89
Calculate ((-9)/(-6) + -2)/(41800/560 - 75).
7/5
((2/35)/(11432/21435))/((-7)/16*-6)
2/49
Calculate 20*(-4485)/(-5750)*30/63.
52/7
Calculate 2/(-2)*((-205)/(-5) + -35).
-6
What is (-25 + (-7922)/(-306))*(-3)/(-2)*(-12)/(-10)?
8/5
(-1)/(-13) - (680 - 680)
1/13
Evaluate 750/50 - (9 - 42).
48
((-205349)/(-52195))/(-97) + 4/(-110)
-1/13
Evaluate (5589/161 - 38)*28/(-72)*-6.
-23/3
What is the value of 1*-1 - 112/448*-84?
20
Evaluate (-3008)/(-352) - (-18)/4*(-28 + 6032/234).
-16/11
Calculate -2*-52*(-34)/17680.
-1/5
What is the value of (-1 + (-3 + -1 - -1))*(179 + (-138 - 24))?
-68
((-76)/48 + 4/(-6))*8848/(-15484)
9/7
What is 0/(18 + -16) + 26?
26
Calculate (-582)/(-970)*70/(-6)*(2 + -1).
-7
-56*(-840)/504*(-126)/(-480)
49/2
Calculate ((-115)/(-5))/(32/(37 - 101)).
-46
Evaluate (-19)/((-551)/2291) - 39.
40
What is -26 + -31 + 14654/238 + (-1 - (-1 + 10))?
-38/7
Evaluate ((-12)/50)/((-1056)/64 + 14 - (-221)/90).
27/5
What is ((-4)/1 + (1425/20)/15)/(906/31408)?
26
Calculate (-1)/(-7)*(-43 + 624).
83
What is -25 - (-17 - -4 - (-23 - -9))?
-26
Evaluate (51/(-1020))/(4 + (-133)/56).
-2/65
Evaluate (-1476)/164 + 197/29 - 2/(-1).
-6/29
Evaluate (81/(-15))/(29/((-9570)/1683)).
18/17
What is (-87 - -71)*2/(-176) - 2116/22?
-96
What is 219*(-2620)/(-19126) + 2/7 + (-10)/(-14)?
31
Calculate 22 + -4 - (-40480)/(-2760).
10/3
18504/(-14392) + (-146)/(7/2 - 0)
-43
What is the value of 79 + (42 - (-75030)/(-620))?
-1/62
What is (-475)/((-77425)/(-7498)) - (-134)/1?
88
What is (13229/(-156) - (615/60 + -10)) + (-580)/(-11310)?
-85
What is ((-39360)/(-41))/60 - (346/24 - -1)?
7/12
What is (60/18*22/88)/((3/(-18))/(-1))?
5
Calculate 126/4 - (23 - (1 + 1))/(39 + -36).
49/2
Calculate (-913)/(-249) - ((-18)/702 - (-1 + -1)).
22/13
Calculate ((-12321)/777 - -17)*-42.
-48
What is the value of (3 - (-12728)/(-680)) + ((-7810)/374 - -21)?
-78/5
What is ((45/54)/(55/(-22)))/((-24)/(-936))?
-13
What is (4/(-8))/((376/288)/47)?
-18
(0 - (-2)/(-1))*225*121/(-168795)
10/31
What is the value of (160 + 5)*((-1913)/45912)/(2/(-32))?
110
What is 74/4 - ((-1582035)/366)/(-455)?
9
Calculate -40 - -11 - (44 - (-82296)/(-1128)).
-2/47
((-2)/(-15 - -13))/((-8)/(-12) + (-32)/84)
7/2
Evaluate (-16)/(-2)*(-87 - (-162 + 77)).
-16
Evaluate (-23310)/39627*21/(-15).
14/17
Evaluate (49320/3836 - (-1 - (-6)/7))*1/7.
13/7
What is the value of (((-1540)/(-50))/14 - (14 - 12))*(-55)/(-506)?
1/46
0 + -9 + 1*12*4810/2886
11
Calculate -7 + ((-31064)/(-5376) - (-2)/6) + 144/168.
-1/32
What is the value of (-161)/203 - 6/(-2)*16*(-20)/(-960)?
6/29
((-600)/125)/(8/(-4)) - 447/5
-87
(-280908)/(-7803) - 5*23
-79
What is ((-111496)/2856 - 4/(-102)) + 7?
-32
(-4 + 0)*(-82)/492*21195/942
15
(47 - 27 - (-5722)/(-286))*-22
2/13
(20 - -76)/32*(-3 - -10)
21
(-2*(-1 - 0))/((-47289)/180558 + (-4)/(-21))
-28
Evaluate (2/2)/(501/(-8016)).
-16
Calculate (-5)/((3510/156)/((-135)/375)).
2/25
What is the value of 16 - (-14 - -101) - (23 + -29)?
-65
Evaluate (144/234)/(834/1807).
4/3
What is the value of ((-129)/(-473))/(1728/2816)?
4/9
Calculate 10/(-84)*(-6363)/(-13635).
-1/18
Evaluate 27 + -45 + (-7189)/(-395).
1/5
What is 16768/(-3406) + (4/18 - (-3432)/594)?
14/13
Evaluate 54 + (4416/(-36) - -66).
-8/3
What is ((-27)/102)/((-340)/1445)?
9/8
Evaluate 2502/21684 + -4 + (-17193)/(-4446).
-1/57
((-8)/16)/(143/12298)
-43
216/(-8208) + ((-2380)/(-399))/5
7/6
Calculate 409489/(-19798317) - (-2)/198.
-2/189
Calculate (-4256)/6384 - 2/(-22)*8.
2/33
What is the value of 9 - (((-1341)/(-99) - 4/(-12)) + 4) - -9?
4/33
((-4968)/(-37260))/((-1)/150)
-20
Evaluate -42*((-38786)/(-258) - 152).
70
What is -78*((-4774)/10230)/((-42)/15)?
-13
What is the value of 1 + (-5 - 33) + 1333 + -1432?
-136
(370/(-105) + 4 + (-2)/14)/(380/(-40))
-2/57
(6069/187 - 26)/((-13)/143)
-71
(163/(8802/162))/((-1)/17)
-51
145/29*(-21)/(-2450)
3/70
What is -27 + (2736/64 + -44)/(5/(-8))?
-25
Evaluate (-21)/126 - (-10 - 4/((-48)/134)).
-4/3
Calculate 592/(-4215) - 7254/(-1019187).
-2/15
Evaluate ((-10)/4 - -1)*(4/29)/((-23340)/(-293306)).
-13/5
Calculate (-5 - 190/(-35))/(1929/126 + (-157)/(-471)).
2/73
Evaluate 22/3465*-
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let h be (1/w + 2)*-3. Determine m(h).
8
Let p(g) = -g - 3. Let r be (-4)/14 - (-95)/(-35). Let w(s) = -s**2 - s. Let c be w(r). What is p(c)?
3
Let t = 193 + -192. Let u(n) = -11*n**3 - n**2 - n + 1. Calculate u(t).
-12
Let g(a) = 2*a. Let y be 1/(-2) + 63/14. What is g(y)?
8
Suppose 0*t = 3*t + 15. Let a(k) be the first derivative of -3*k**2 + 3*k**2 + k**2 + 7*k + 2. Give a(t).
-3
Suppose 2 - 8 = -3*h. Let t(g) = -h*g - 3*g - g**2 - g + 3*g**2. Calculate t(4).
8
Let s(u) = u**2 - u. Suppose -5*n - 16 = 3*n. Give s(n).
6
Suppose -26 = -9*n + 4*n - 2*f, -20 = -2*n - 4*f. Let a(j) = 34 - 34 - n*j. What is a(-2)?
8
Let n = 0 + 3. Let q(p) = 2*p - n + 1 - p. Let v(d) = 2*d - 1. Let a(w) = -2*q(w) + 3*v(w). Give a(2).
9
Let z(l) = -l + 2. Let t be 130/14 + 6/(-21). Let a(s) = s**3 - 6*s**2 + 6*s + 3. Let g be a(5). Let d = t - g. Determine z(d).
1
Let j(p) be the third derivative of -p**4/24 + 4*p**3/3 + p**2. Let k(f) = f**2 + 4*f - 6. Let m be k(-6). Determine j(m).
2
Suppose 4*q = 4*t + 20, 29 - 13 = 2*q + 4*t. Let d be (6/(-4))/(3/q). Let k be -3*(2 + 1/d). Let u(m) = -2*m - 6. Calculate u(k).
4
Let a(t) = 10*t. Let z(u) = 31*u + 3. Let g(k) = -31*k - 2. Let s(o) = -4*g(o) - 3*z(o). Let f(l) = 7*a(l) - 2*s(l). What is f(-2)?
-14
Suppose -5*c = -5*a + 30, 2*c = -2*a - 3*c - 2. Let b(p) be the first derivative of -p**3/3 + 2*p**2 + p - 3. Determine b(a).
1
Suppose 5*n = 7*n - 4. Let d(u) be the third derivative of -2*u**n + 0*u**4 - 1/60*u**5 + 0*u + 1/3*u**3 + 0. Give d(-2).
-2
Suppose 3 = 3*y - l - 14, l + 21 = 4*y. Let q(u) = -u**3 + 4*u**2 - 5. Let i be q(y). Let t(b) = 2*b + 4. Give t(i).
-6
Let a(p) = p**2 + 5*p + 4. Let f(j) = -j**3 - 5*j**2 - 5*j - 10. Let q be f(-4). Calculate a(q).
10
Suppose -3*d - 1 = 3*u - 4*u, 0 = -4*d - 3*u + 16. Let s(f) be the second derivative of -f**5/5 + f**4/12 + f**3/6 - f**2/2 - 3*f. Determine s(d).
-3
Let t(n) be the first derivative of n**3/3 + n**2/2 - n + 3. Suppose -v - 3 = 2*v. Let q = v - 0. Determine t(q).
-1
Let d(a) = a**3 + 4*a - 2. Let b(k) = -k**3 - 3*k + 2. Let j(g) = 4*b(g) + 3*d(g). Let y = -4 + 1. Let n(h) = -h - 3. Let q be n(y). What is j(q)?
2
Let i = -212 - -207. Let l(r) = 2*r. Determine l(i).
-10
Let m(x) be the second derivative of x**5/20 + x**3/6 + 2*x**2 - 31*x. What is m(0)?
4
Let h(x) = -x**3 + 19*x**2 - 5. Let t be h(19). Let w(f) = 2 + f - 2. Give w(t).
-5
Let i(m) be the first derivative of 0*m + m**3 - 2*m + 1 + 0*m**3. Let p(s) = s**3 + 20*s**2 + 19*s - 2. Let n be p(-19). Give i(n).
10
Let y(t) be the first derivative of -t**4/4 + t**3 + t + 17. What is y(3)?
1
Let r = -1 + -6. Let f = 3 - 7. Let j = f - r. Let v(q) = q**3 - 5*q**2 + 4*q - 2. Give v(j).
-8
Let n = 1 - 1. Let u(h) = 2*h - 3*h + 0 + n*h**2 + 2 + 2*h**2. Let c be 8/3 + 2/(-3). Calculate u(c).
8
Let p(l) = l + 7. Suppose g = 6*g - 4*d + 38, 4*g + 34 = 5*d. What is p(g)?
1
Let m(n) = n**3 + 4*n**2 + 3*n - 2. Let z be m(-3). Let a(o) be the third derivative of o**5/30 - o**3/3 + o**2. Determine a(z).
6
Let x(a) = -a**2 + 10*a - 11. Let l be x(8). Let n(z) be the second derivative of 0 + 1/6*z**4 + 2*z + 0*z**2 - 1/3*z**3 + 1/10*z**l. Give n(-2).
-4
Let l be (-8 - 0)*(4 + -5). Let r(q) = -8*q**3 - q**2 + 4*q**3 - l*q**3. What is r(-1)?
11
Let s(h) = -h + 1. Let n be s(-1). Suppose 13 = -3*r - n. Let t(j) = j**3 + 4*j**2 - 3*j + 6. Give t(r).
-4
Suppose 15*q - 14*q - 2 = 0. Let c(l) = -4*l**2 + 4*l**q + 2*l**2 - 8 - l**2 + 5*l. What is c(-7)?
6
Let z(u) = -u**2 + u - 9. Let w be z(0). Let r = 11 + w. Let l(p) = -p**2 + 1. Give l(r).
-3
Let l(p) = -3*p - p**2 + 21 - 34 + 21. Give l(-6).
-10
Let w = 1 - 4. Let t(m) = -m**3 - 3*m**2 - 2*m + 3. Determine t(w).
9
Let k = 15 - 21. Let v(d) = -d + 0*d + 0*d + 1. What is v(k)?
7
Let q(p) be the first derivative of p**4/4 + p**3 - 2*p**2 - 2*p + 10. Let s(h) = h**3 - 8*h**2 + 8*h - 5. Let l be s(7). Suppose -v = l*v + 12. Calculate q(v).
-2
Let g(s) be
|
{
"pile_set_name": "DM Mathematics"
}
|
o - 403. Calculate -6*c(g) - 403*d(g).
-31*g
Let a = 8 + -6. Let z(f) = 4 - 2*f - 4 - f**3 + 0*f + f**2 - a. Let u(k) = -3*k**3 + 4*k**2 - 7*k - 7. Give -2*u(o) + 7*z(o).
-o**3 - o**2
Let n(f) = -6*f**3 + 5*f**2 + 36*f. Let k(r) = 4*r**3 - 3*r**2 - 24*r. What is 8*k(s) + 5*n(s)?
2*s**3 + s**2 - 12*s
Let z(w) = 52*w**3 + 5. Let j(x) = 1457*x**3 + 141. Give 5*j(g) - 141*z(g).
-47*g**3
Let q(y) = 28*y**3 + 11*y**2 - 17*y + 13. Let u(c) = 14*c**3 + 5*c**2 - 8*c + 6. Determine 6*q(t) - 13*u(t).
-14*t**3 + t**2 + 2*t
Let o = 8 + -5. Suppose 0 = -0*h - 3*h + o. Let n(t) = -3*t + 6. Let z(r) = 1. Calculate h*n(g) - 6*z(g).
-3*g
Let h(r) = -5*r. Let g(f) = f**2 + 4. Let z(a) = -a - 10. Let k be z(-10). Let u be g(k). Let n(m) = 6*m. Let y = -4 + 7. What is u*h(q) + y*n(q)?
-2*q
Let o(j) = 2 - 5 + 3 - 6*j**2. Let y(s) = 6*s**2 + 5*s. Let q(u) = -7*u**2 - 6*u. Let g(d) = 5*q(d) + 6*y(d). What is -16*g(v) - 3*o(v)?
2*v**2
Let b(v) = v**2 + v - 1. Let p(z) = z**3 - z**2 - 3*z + 5. Suppose 5*x + 4*j - 11 = 0, 4 = 3*x - 5*j - 10. Give x*b(t) + p(t).
t**3 + 2*t**2 + 2
Let v(a) be the third derivative of a**4/6 + 7*a**3/6 - a**2. Let x(s) = -11*s - 3. Let w(u) = -14*u - 4. Let y(j) = -4*w(j) + 5*x(j). Determine v(n) - 6*y(n).
-2*n + 1
Let y(t) = 4*t. Let w(h) be the third derivative of -h**4/24 - h**2. Let b = -43 + 34. What is b*w(u) - 2*y(u)?
u
Let h(y) = -2*y**3 - 3*y**2 - 2*y. Let j(s) = -s + 11. Let q be j(9). Let z(g) = -2*g - 2*g**2 - 3*g**3 + g**3 + g**3. What is q*h(m) - 3*z(m)?
-m**3 + 2*m
Let k(g) = -g**3 + 2*g**2. Let a(q) = q**3 + 7*q**2 + 5*q - 3. Let o be a(-6). Let l(y) = -y**3 - 5*y**o + 11*y**2 - 2*y**3 + 3*y**3. Give -33*k(f) + 6*l(f).
3*f**3
Let z(v) = 1. Let l(i) = 6*i**2 + i + 1. Calculate -l(o) + 3*z(o).
-6*o**2 - o + 2
Let a(g) = 4*g + 4. Let n(k) = -1. Give a(p) + 5*n(p).
4*p - 1
Suppose 0 = -4*v - 3*g - 19, -3*g + 3 = -3*v - 6. Let s(k) = -8*k**2 + 11*k - 11. Let w(b) = 3*b**2 - 4*b + 4. Determine v*s(h) - 11*w(h).
-h**2
Let s(u) be the first derivative of -u**4/4 + 2*u**3/3 - u**2/2 - u + 2. Let q be (-9)/6*-4 + -4. Let p(h) = h**2 - h - 1. Determine q*p(o) - s(o).
o**3 - o - 1
Suppose 6 = -r + 3. Let i be 2/(1/9*r). Let p(d) = -d + 4. Let f(w) = -3*w + 11. Calculate i*f(x) + 17*p(x).
x + 2
Let i(g) = -g - 4. Let j(d) = -d - 4. Let h(u) = 6*i(u) - 5*j(u). Let f(z) = z + 3. Give 6*f(v) + 4*h(v).
2*v + 2
Let p be 0 + 1/((-2)/30). Let h = -11 - p. Let i(v) = 6*v**2 - v - 2. Let l(y) = -y**2. What is h*l(b) + i(b)?
2*b**2 - b - 2
Let l(q) be the first derivative of -5*q**2 - 10*q - 19. Let b(s) = s - 1. Let k(t) = 5*t + 1. Let a(u) = 2*b(u) - k(u). Give -7*a(n) + 2*l(n).
n + 1
Let m be 3*(2/(-2) - 1). Let i = m + 8. Let n be (i/2)/((-4)/20). Let f(j) = -j**3 - j**2 - j + 1. Let b(w) = 6*w**3 + 5*w**2 + 4*w - 6. Give n*f(p) - b(p).
-p**3 + p + 1
Let f(g) = -3*g**2 - 3*g - 7. Let q = 2 - 8. Let r(u) = 2*u**2 + 2*u + 4. Calculate q*f(y) - 10*r(y).
-2*y**2 - 2*y + 2
Let o(u) = u - 15. Let h be o(12). Let c be (-8)/(-6)*9/6. Let a(x) = -c*x**3 + 6*x**2 + 3 + 4*x**3 + x**2. Let i(w) = -w**3 - 3*w**2 - 1. Give h*a(j) - 7*i(j).
j**3 - 2
Let b(i) = -i + 1. Let a(u) = -u. Calculate 5*a(y) - b(y).
-4*y - 1
Let q(o) = 4*o**2 - 6*o - 3. Let m(h) = 3*h**2 - 7*h - 2. Calculate 3*m(k) - 2*q(k).
k**2 - 9*k
Let h(i) = -31*i**2. Let v(c) = 108*c**2. Give 18*h(n) + 5*v(n).
-18*n**2
Let w(o) = o + 1. Suppose 8*v - 10*v = -y - 10, 4 = 4*v + 2*y. Let m(q) = -q + 1. What is v*m(f) + w(f)?
-2*f + 4
Let p(y) = -y + 1. Let s(c) = -22 + 24 + 20*c - 22 - 5*c**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 69 - 41, -3*q - 5*m - 11 = -6 for q.
-5
Solve 4*i + 2*n = -32, 4*i - 202*n + 68 = -207*n for i.
-2
Solve 0 = -j + 2*g - 9, 4*j - 241 + 272 = 3*g for j.
-7
Solve -3*x - 1 = 4*y, -5*x + 334 = 8*y + 341 for y.
-4
Solve -104 = -2*x - 7*i, -5*x + 14261 = -2*i + 14313 for x.
-4
Solve -26*s + 25*s + 4*a = 5, 0 = 2*s + 5*a - 29 for s.
7
Solve -2*r + 5*z + 57 = 0, 68*r - 5*z = 65*r + 78 for r.
21
Solve 4*c - 2*p = -22, 469*c + p = 476*c + 41 for c.
-6
Solve 5*z + 15 = -3*i, 564*i - 559*i - 9 = 3*z for z.
-3
Solve 3*x = 2*a + 8, 11*a + 9 = 87*x - 88*x for a.
-1
Solve -q = -2*k - 17, -q = -3*k - 161 + 137 for k.
-7
Solve 5*a + 4*u = 10, 902*u = 5*a + 901*u + 15 for a.
-2
Solve 4*v = -12*y - 92, -118*v - 58 = -4*y - 113*v for y.
-3
Solve 0 = -2*v - 2*d + 6, 2355 - 2364 = -3*v - d for v.
3
Solve -4*s + 5*c = 0, -10 - 12 = -2*s + 6*c - 9*c for s.
5
Solve -101*w + 5*p = -99*w - 16, -24 = 4*w + 4*p for w.
-2
Solve -3*x - 4 = -2*f - x, 0 = -2*f + 3*x + 5 for f.
1
Solve -w - r = 4, 3*r - 47710 = -47719 for w.
-1
Solve -25 = 2*a + 4*k - 71, 0 = -4*a + 5*k - 25 for a.
5
Solve -k - 87*l - 1 = -85*l, k + 5 = 2*l for k.
-3
Solve 0 = i - 3*j + 8, -10*i + 5*i = 4*j + 2 for i.
-2
Solve h + 1 = 0, -23*p + 22*p = 2*h + 1 for p.
1
Solve -g - 21*h + 20*h - 5 = 0, 2*g + 3*h + 13 = 0 for g.
-2
Solve -2*d + 5 = -3*v, 3*v = 8*d - 47 + 18 for v.
1
Solve 11*t = i + 37, t + i - 3*i - 11 = 0 for t.
3
Solve 2818 = 5*v - 0*v + f + 2839, 2*f = -v + 3 for v.
-5
Solve -5*k = 10*o - 20, -1071*o - 2 = -1069*o for k.
6
Solve 4*r - 42 = 3*c, -3*r - 4948*c = -4946*c + 28 for r.
0
Solve 4*j = -h - 1, -77 = 5*h - j - 72 for h.
-1
Solve 0 = -9*w - 5*o - 91, -3*o = w + 1999 - 1984 for w.
-9
Solve -2*a + 2505*l = 2510*l - 11, l - 10 = -3*a for a.
3
Solve -4*f + 4*y + 16 = 0, -5*f - 17*y - 955 = -975 for f.
4
Solve -2 = -3*u - t, 17*u - 13*u = 2*t - 14 for u.
-1
Solve -5*c - 880*t = -885*t + 10, 5 = -2*c + 3*t for c.
-1
Solve -5*z + 3*w + 8 = 0, 5*z + 28*w - 6 = 29*w for z.
1
Solve -5*m + 3*v - 5412 + 5399 = 0, -2*m - 7*v - 38 = 0 for m.
-5
Solve -4*f + 19 = 3*d, -3*d = -f + 25 - 54 for f.
-2
Solve 2*o = 4*b + 22 - 36, 0 = o + 5 for b.
1
Solve 5*q = 5*l - 80, 31508*l - 31505*l - 44 = 2*q for l.
12
Solve o - 53 = 5*x, -55 = -12*x + 17*x for o.
-2
Solve -17*v = -18*v - 2*d, 5*v - 12 = 2*d for v.
2
Solve -8 = -2*s, 2*l - 313*s - 28 = -318*s for l.
4
Solve 3*q + 36 - 11 = -17*u, 0 = 4*u - 3*q + 459 - 442 for u.
-2
Solve 40 = 298*q - 294*q - 4*y, 0 = 2*q - 3*y - 29 for q.
1
Solve 0 = 10*x - 14*x + 5*w - 7, 14 = 4*x + 2*w for x.
2
Solve -282 = 98*r - 3*b, 4*r - 4*b + 2*b = -5 + 1 for r.
-3
Solve -27 = 6*j - 3*j - 5*z, -j - 31 = -9*z for j.
-4
Solve 0 = -3*x + 2*h - 93, 5*x - 2*h + 185 - 34 = 0 for x.
-29
Solve -4*u = 0, -21*u = 2*d - 25*u - 8 for d.
4
Solve 0 = q - 2*x - 67 + 79, 4*q + x + 12 = 0 for q.
-4
Solve 5*i - 2*i = -10*d, 3*d = -d + 3*i - 42 for d.
-3
Solve 0 = -5*z - 4*r + 5, 12*r + 19 = 2*z + 17*r for z.
-3
Solve 5*i = 5*s, -4*s - 2*i + 32 = 2*i for s.
4
Solve -180*p = -173*p - 5*m - 64, -38 = -5*p + m for p.
7
Solve 8*s - 7*s + n = 5, -3*n = s - 3 for s.
6
Solve -5*g = 3*x - 108, 0 = 4*x + 5*g + 264 - 373 for x.
1
Solve -b = 2*u - 923 + 933, 0 = 2*u + 6 for b.
-4
Solve f - 2328 = 3*a - 2371, 5*a - 49 = -4*f for f.
-4
Solve 2829*w = 2826*w + 3*y + 33, -7 = -2*w - y for w.
6
Solve -2*x + 27 = -4*c + 1, x + 15 = -5*c for c.
-4
Solve -5*b + c + 38 - 36 = 0, 4*b = -c + 7 for b.
1
Solve 4*m = a - 0*a, -3*m + 22 = -116*a + 118*a for m.
2
Solve -7*f + x + 220 = 199, 15 = 4*f - x for f.
2
Solve x - 14*y + 33 - 112 = 0, -2*y - 12 = 0 for x.
-5
Solve -w - 5*c + 174 = 161, 25 = 5*w + 5*c for w.
3
Solve 5*x - 11 = -2*t, 3*x - 956*t - 1 = -958*t for x.
5
Solve -33 = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
hree decimal places?
0.033
What is -0.00389082 rounded to 3 decimal places?
-0.004
What is 1219678.3 rounded to the nearest ten thousand?
1220000
Round -0.03128066 to three dps.
-0.031
Round 0.0000739419 to five dps.
0.00007
Round -3.840607 to three decimal places.
-3.841
Round 7514.6231 to the nearest 100.
7500
Round 2.7448378 to three decimal places.
2.745
Round -26394420 to the nearest 100000.
-26400000
Round -2.3139655 to three decimal places.
-2.314
Round -9.40142 to the nearest integer.
-9
Round -1457.9323 to the nearest 100.
-1500
What is -6.310577 rounded to 3 dps?
-6.311
Round 0.00028629 to 4 decimal places.
0.0003
What is 2.2886047 rounded to 2 dps?
2.29
What is 0.000061048 rounded to five dps?
0.00006
Round -77.0256 to 0 decimal places.
-77
Round 15588329 to the nearest 100000.
15600000
Round -176818.5 to the nearest 10000.
-180000
What is 36490.9 rounded to the nearest 100?
36500
Round -2581.56 to the nearest 100.
-2600
Round -0.3591475 to one dp.
-0.4
What is 0.8867607 rounded to 1 dp?
0.9
What is -150.8854 rounded to the nearest integer?
-151
Round -4.767572 to 3 decimal places.
-4.768
What is -1402618800 rounded to the nearest one hundred thousand?
-1402600000
What is 0.00891549 rounded to 4 dps?
0.0089
What is -17.1192 rounded to one dp?
-17.1
Round -437.165 to the nearest 10.
-440
What is -0.014885665 rounded to four dps?
-0.0149
Round -4.76523 to 2 dps.
-4.77
Round -1.62703 to 2 dps.
-1.63
What is 0.017854545 rounded to four dps?
0.0179
What is -0.00007282823 rounded to six dps?
-0.000073
What is 0.00012112086 rounded to six decimal places?
0.000121
What is -16280350 rounded to the nearest 10000?
-16280000
Round -435757 to the nearest 1000.
-436000
What is 0.0117917293 rounded to 4 decimal places?
0.0118
Round 1200710 to the nearest 100000.
1200000
What is 8114900 rounded to the nearest one hundred thousand?
8100000
What is -699343300 rounded to the nearest 1000000?
-699000000
Round -0.17166976 to three decimal places.
-0.172
Round -0.0002813232 to 7 decimal places.
-0.0002813
What is -17143700 rounded to the nearest 10000?
-17140000
What is 714272 rounded to the nearest one hundred thousand?
700000
Round 1138912 to the nearest one thousand.
1139000
Round -1950035 to the nearest 10000.
-1950000
Round 8994820 to the nearest 100000.
9000000
What is -0.00320573 rounded to four decimal places?
-0.0032
Round -6996909 to the nearest 1000000.
-7000000
What is 0.002726002 rounded to 5 dps?
0.00273
What is 62.36 rounded to the nearest 100?
100
What is 0.00760911 rounded to 4 dps?
0.0076
Round 1.09419 to the nearest integer.
1
Round 0.00087124275 to 7 decimal places.
0.0008712
Round 0.1335605 to three dps.
0.134
What is 58.79133 rounded to two dps?
58.79
What is 5231.92 rounded to the nearest 100?
5200
Round 28528700 to the nearest one million.
29000000
Round 6402000 to the nearest one million.
6000000
What is 589.326 rounded to the nearest 10?
590
Round -412073 to the nearest one hundred thousand.
-400000
What is -692864 rounded to the nearest 100000?
-700000
Round -0.1656585 to 3 decimal places.
-0.166
Round -3696.642 to the nearest 1000.
-4000
Round 0.0000094358785 to six dps.
0.000009
What is -0.00005915478 rounded to 6 decimal places?
-0.000059
What is 12.79973 rounded to 0 decimal places?
13
Round -2058754 to the nearest one thousand.
-2059000
What is 2967.0414 rounded to the nearest 10?
2970
Round 6048.95 to the nearest 100.
6000
What is -64204.55 rounded to the nearest ten thousand?
-60000
What is 709.8916 rounded to one decimal place?
709.9
Round -113019000 to the nearest 10000.
-113020000
Round -688.9504 to the nearest one hundred.
-700
What is 5.720583 rounded to 1 dp?
5.7
Round -3184.273 to the nearest one hundred.
-3200
What is 0.831006 rounded to 2 decimal places?
0.83
Round 1263.3651 to the nearest 10.
1260
Round 7.9864 to the nearest integer.
8
What is 18.3731 rounded to the nearest 100?
0
What is 385.21 rounded to 0 decimal places?
385
Round -0.0001278402 to five dps.
-0.00013
Round -475.0404 to 0 decimal places.
-475
What is 383528.28 rounded to the nearest 1000?
384000
Round -1234033.9 to the nearest 100.
-1234000
Round -0.0386969 to five decimal places.
-0.0387
Round 18.79642 to two dps.
18.8
Round -0.1250769 to three dps.
-0.125
Round -7103700 to the nearest ten thousand.
-7100000
Round -0.000409321 to six decimal places.
-0.000409
Round 0.0071935332 to 3 decimal places.
0.007
Round -36.2231 to the nearest 10.
-40
What is -1376448.6 rounded to the nearest ten thousand?
-1380000
What is -10805550 rounded to the nearest 100000?
-10800000
Round -0.03687397 to 2 decimal places.
-0.04
What is 231471.67 rounded to the nearest ten thousand?
230000
What is 244.91 rounded to the nearest 1000?
0
What is 0.00005154897 rounded to seven decimal places?
0.0000515
What is 22.43123 rounded to zero decimal places?
22
Round 1322773 to the nearest one hundred thousand.
1300000
Round 30971 to the nearest one hundred thousand.
0
What is -2533120 rounded to the nearest ten thousand?
-2530000
Round 454995400 to the nearest 1000000.
455000000
Round 26294170 to the nearest 10000.
26290000
What is 0.000095857 rounded to five dps?
0.0001
Round 0.819891 to one dp.
0.8
Round 0.000679483 to six dps.
0.000679
Round -30.33106 to the nearest integer.
-30
What is 10755258 rounded to the nearest ten thousand?
10760000
What is 359960200 rounded to the nearest 1000000?
360000000
Round 53147.38 to the nearest one thousand.
53000
Round -0.02654839 to 2 dps.
-0.03
Round -0.000153319 to 6 decimal places.
-0.000153
What is 382077.1 rounded to the nearest ten thousand?
380000
Round -9.2025673 to the nearest integer.
-9
Round 0.000866583 to five dps.
0.00087
What is 144706.58 rounded to the nearest 1000?
145000
Round 48498.001 to the nearest 10.
48500
Round -8.52 to the nearest 10.
-10
What is 0.00008448591 rounded to 5 decimal places?
0.00008
Round 664.3109 to the nearest 100.
700
Round -824.779 to the nearest 1000.
-1000
Round 383368 to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
3 (b) 1 (c) l
a
Let n = 0.418 + -0.318. Let g = 6 + -6. Let r = g + 4. What is the nearest to 2/3 in n, 0.2, r?
0.2
Let p = 1 + 2. Let d be 3/(-162)*-214 + -4. Let f = -23/108 + d. What is the nearest to f in p, -3/8, -3?
-3/8
Let k be -1*(-29)/(-30) - (-4)/5. What is the nearest to 1 in k, 1, -0.29?
1
Let v = 3.022 - 0.022. What is the closest to v in -1/2, 3/2, 5, 2/15?
3/2
Let x = 0.043 + -75.043. Let y = x + 74.6. Which is the closest to 3? (a) -0.2 (b) -3 (c) y
a
Let o = 99 + -99.13. Let y = -1/158 - 311/790. Let h = y + 4/5. Which is the closest to h? (a) -0.3 (b) -2/13 (c) o
c
Let o = 51.9 + -52. What is the closest to 0 in o, 3, 5?
o
Let d = 0.266 + -0.366. Which is the closest to -1? (a) 0.4 (b) d (c) 1/8
b
Let z = -0.36 - 12.44. Let n = z - -13. Let p = -2 - -5/2. Which is the closest to p? (a) n (b) 2/17 (c) 0.1
a
Suppose -5*p = -3*v + 447, -3*v - 15*p = -11*p - 447. Which is the nearest to -1/2? (a) v (b) -5 (c) 5
b
Let n = -2695 + 2695.4. Let i = -2 + 2.01. Let t = 1.1 + -0.1. Which is the closest to t? (a) -1 (b) n (c) i
b
Suppose 5*q - b - 1 + 24 = 0, 3 = 3*q + 5*b. Let z be (-12)/(q - 25/(-10)). What is the nearest to 0 in 0.5, z, -0.4?
-0.4
Let v = 244 + -247. Suppose -11 = -h + 12*h. Which is the closest to 0? (a) h (b) -1/3 (c) v
b
Let o be (-186)/(-18) + (-2)/6 - -2. Suppose 63*n - 59*n - o = 0. What is the nearest to -1/3 in -4, 0.1, n?
0.1
Let u = -64 + 64. What is the closest to u in 2/15, -0.02, -5?
-0.02
Let r = 3 - 5. Let j = 304 - 6386/21. Which is the closest to r? (a) -0.5 (b) -1/3 (c) j
a
Suppose -3*h - 4*i - 2 = 0, h - 101 + 106 = 3*i. Let n = -13 + 8. What is the closest to h in -2/7, n, -1/2?
-1/2
Let w be (-64)/48 - ((-282)/(-99) + -4). What is the nearest to -0.7 in 2/5, -2/3, w, -4?
-2/3
Let a = -3.9 + -2.4. Let f = a + 10.3. What is the closest to -1/3 in 1, -6, f?
1
Let q be 2/1 + -3*1. Let x be 2 + q + (-66)/54. Let j = -61 + 61. What is the nearest to j in 3, -2/13, x?
-2/13
Let d be (-1 + 16 - (-1)/1)/2. Let n be 2 - (-2 + (22 - 2)). Let r be ((-6)/d)/(120/n). Which is the closest to 0? (a) 0 (b) -3 (c) r
a
Suppose 104*i - 119*i + 60 = 0. Let d = -7 + 25. Let j = d + -13. Which is the nearest to 0.2? (a) 0.1 (b) i (c) j
a
Let s be (-14887)/(-15384)*(-12)/24. Let m = 3/641 + s. Let p = -3/16 + m. What is the nearest to p in 1/6, -7, 0.5?
1/6
Let j(t) = -t + 4. Let b = 8 - 8. Let m be j(b). What is the nearest to 0.1 in -4, -5, m?
m
Let x = 1493 - 1493.1. Let s = -4 - -8. What is the nearest to x in 0, s, 2?
0
Let d = 0.005 - -44.995. Let m = -44.8 + d. What is the closest to m in -2, -3, -0.1?
-0.1
Suppose -9*t = 4*i - 4*t + 11, -2*i - 5*t = 13. Which is the closest to i? (a) -3 (b) -24 (c) 2/11
c
Let j = -56 - 36. Let y = -92 - j. Suppose 0 - 3 = -3*l. Which is the closest to 0.1? (a) y (b) -6 (c) l
a
Let v = 0.05 - 3.05. Suppose -12 = m + 11*m. What is the closest to -2/21 in m, 0.4, v?
0.4
Suppose 9*u - 96 = 3*u. Let b = 101.9 + -102. What is the closest to 0 in u, -0.5, b?
b
Let y = -10.81 - -10.9. Let q = 0.19 - y. What is the closest to 0.1 in q, -1/3, 0.2?
q
Let x = 11 + -10.2. Let q = -12 - -10.8. Let z = q - x. Which is the closest to -2/5? (a) z (b) 5 (c) 0.3
c
Let u = -49 - -197/4. Let r be 156/(-27) - (8 - (-98)/(-7)). What is the closest to u in -0.4, 1, r?
r
Let k = 1.2 + -0.2. Let c = -638 + 686.7. Let m = -49 + c. What is the nearest to k in -5, m, 3/7?
3/7
Let i = -42 + 35. Let q be (3/6)/((-7)/(70/15)). What is the closest to q in i, -4, -3?
-3
Let o = 1006.2 - 1006. Which is the closest to -3? (a) 4 (b) -4 (c) -0.4 (d) o
b
Let f = -353 + 351. What is the closest to -2 in f, -0.5, -0.07, -1?
f
Let j = -247 + 1728/7. Which is the closest to 4? (a) 0.2 (b) j (c) 14
a
Let k be (-32)/28*((-9)/(-3))/12. Let u be 112/3 - (-3 - -1). Let s = u - 39. Which is the nearest to s? (a) -0.5 (b) k (c) 0.4
c
Suppose -5*y - 1 = -3*z + 2*z, -y = -5*z + 5. Which is the nearest to 0? (a) z (b) -64 (c) 0.4
c
Let w(z) = -z**3 - z. Suppose 5*f - 2*k - 1 - 4 = 0, 5*k = -3*f + 3. Let x be w(f). Let c be (-10)/8 - 1/x. What is the nearest to 0 in c, -2/13, -3/7?
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
rms in -11*z - 211 - 210 + 421 + 12*z.
z
Collect the terms in -3*b**3 + 7*b**3 - 1 + 0.
4*b**3 - 1
Collect the terms in -3 + 3 + 95*z - 93*z.
2*z
Collect the terms in 7*r + 12 + 2 - 14.
7*r
Collect the terms in -25 + 0*h + h + 2.
h - 23
Collect the terms in -160*k + 178*k - 2 + 2.
18*k
Collect the terms in -7*s - 13*s - 22*s + 46*s.
4*s
Collect the terms in -269 + 33*s**3 + 269.
33*s**3
Collect the terms in 1 - 56*x - 1 - 157*x.
-213*x
Collect the terms in -699*u**2 + 350*u**2 + 0*u + 355*u**2 + 0*u.
6*u**2
Collect the terms in -5*j - j - 41*j - 22*j.
-69*j
Collect the terms in 8*i**2 - 2 - 2 + 4.
8*i**2
Collect the terms in 62 - 4*d**2 - 62 + 3*d**2.
-d**2
Collect the terms in -57*j**2 - 3*j - j + 1 + 4*j.
-57*j**2 + 1
Collect the terms in -39*u**3 + 63*u**3 - 31*u**3.
-7*u**3
Collect the terms in 227*p**2 + 65*p**2 + 32*p**2.
324*p**2
Collect the terms in 7826607*c - 7826607*c - c**2.
-c**2
Collect the terms in -3*f**2 + 12*f**2 + 7*f**2 - 6*f**2.
10*f**2
Collect the terms in -12 - a + 12.
-a
Collect the terms in 111*h + 4*h**2 - 111*h - 1.
4*h**2 - 1
Collect the terms in 191*v**2 - 191*v**2 + 5*v**3.
5*v**3
Collect the terms in -6*i - 6*i - 12 - 11 + 10*i.
-2*i - 23
Collect the terms in -j - 5 + 1 + 17*j.
16*j - 4
Collect the terms in 105*p + 2908*p + 347*p.
3360*p
Collect the terms in -1604*t + 3*t**2 + 797*t + 807*t.
3*t**2
Collect the terms in 17*z**3 - 7*z**3 - 6*z**3 - 8*z**3.
-4*z**3
Collect the terms in -1573*v**2 - 1572*v**2 + 4718*v**2 - 1571*v**2.
2*v**2
Collect the terms in 3*m - 777 + 777.
3*m
Collect the terms in -129*p**2 + 68*p**2 + 61*p**2 + 2*p**3 - p**3.
p**3
Collect the terms in h - 3*h - h**3 + 2*h.
-h**3
Collect the terms in 18*l**2 + 1 + 21*l**2 - 1 - 46*l**2.
-7*l**2
Collect the terms in 22*m - 10*m + 6*m + 26*m.
44*m
Collect the terms in 6*k**3 + 5*k**3 - 7*k**3.
4*k**3
Collect the terms in -4*k**3 + 7*k**3 - k**3.
2*k**3
Collect the terms in 2689*y**2 - 1339*y**2 - 1347*y**2.
3*y**2
Collect the terms in 16*i - 8 + 12 - 5.
16*i - 1
Collect the terms in 14*c - 760 + 760 + 4*c - 24*c.
-6*c
Collect the terms in 5860*f**2 + 5873*f**2 - 11731*f**2.
2*f**2
Collect the terms in -62*v**3 + 59*v**3 - 73*v**3 - 61*v**3.
-137*v**3
Collect the terms in 12*b - 3*b - 18*b + 7*b + b.
-b
Collect the terms in 12*f - 57*f + 19*f + 25*f.
-f
Collect the terms in 2*t**3 - 39840*t**2 + 39840*t**2.
2*t**3
Collect the terms in 45*t**2 - 147*t + 147*t.
45*t**2
Collect the terms in b**3 + 13*b**3 - 7*b**3 - 6.
7*b**3 - 6
Collect the terms in -243 + 55*i + 243 - 204*i.
-149*i
Collect the terms in 231*s**2 - 425*s**2 + 189*s**2.
-5*s**2
Collect the terms in -464*q - 147*q - 48*q + 32*q.
-627*q
Collect the terms in -338 + 338 - 6*f.
-6*f
Collect the terms in -2*y - y - 11*y**2 - 4*y**2 + 11*y**2.
-4*y**2 - 3*y
Collect the terms in 384 - 384 - 4*y**3 - 7*y**3.
-11*y**3
Collect the terms in -6*c**2 - 5*c - 8*c + 11*c.
-6*c**2 - 2*c
Collect the terms in 15 - 17*l**2 - 12 - 3.
-17*l**2
Collect the terms in 4*o + 47*o**2 - 4*o - 46*o**2.
o**2
Collect the terms in 13*h + 4 + 3 - 7.
13*h
Collect the terms in 3*r + 2*r + 77*r**2 - 5*r - 74*r**2.
3*r**2
Collect the terms in 23*t**3 - 8*t**3 - 13*t**3.
2*t**3
Collect the terms in -30*p - 24*p - 8*p - 4*p.
-66*p
Collect the terms in -142 - 6*j**3 + 142 - 28*j**3.
-34*j**3
Collect the terms in -1159 - 3*c**2 + 1159.
-3*c**2
Collect the terms in -2*x**2 + x**2 - 34*x**2.
-35*x**2
Collect the terms in 1 + 73*s**3 - 1.
73*s**3
Collect the terms in -135 + 11*q**3 + 135.
11*q**3
Collect the terms in -2*x**2 + 6*x**2 - 2*x**2.
2*x**2
Collect the terms in -17*y**3 + 3*y**2 - 3*y**2 + 9*y**3 + 15*y**3.
7*y**3
Collect the terms in 8*w**2 - 7*w**2 + 9*w**2 - w**3 + 2*w**2 + 16*w**2.
-w**3 + 28*w**2
Collect the terms in 93*p**3 - 44*p**3 - 50*p**3.
-p**3
Collect the terms in -25*y - 2*y + 10*y - 32*y.
-49*y
Collect the terms in -w**3 + 132 + 93 - 25.
-w**3 + 200
Collect the terms in -12*t**2 + 4*t**2 + 2*t**2.
-6*t**2
Collect the terms in 1 + 2973*z - 39*z**2 - 1 - 2975*z.
-39*z**2 - 2*z
Collect the terms in 22*l**2 + 10*l**2 - 53*l**2 - 44*l**2 - 2.
-65*l**2 - 2
Collect the terms in 3*p**3 - 7*p**3 - 5*p**3.
-9*p**3
Collect the terms in -288*a + 288
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 2*o + 5 = -3. Is 4*1/o*n a composite number?
False
Suppose 115*t - 403606 = 101*t. Is t a prime number?
False
Is 5*(-5026)/(-105)*(-3)/(-2) a composite number?
False
Is (0 - (-92)/6)/(54/7209) a prime number?
False
Let x be 4/22*1 + 40/22. Suppose -4*l - 2*v + 1937 + 283 = 0, 2*v - 1106 = -x*l. Is l a prime number?
True
Let z(y) = -y**3 - 8*y**2 - 12*y + 2. Let l be z(-6). Suppose -l*v + 2348 = 2*v. Is v a prime number?
True
Suppose 9*h = 15*h - 84. Suppose 26765 = h*a - 6261. Is a prime?
False
Let r be ((-2)/2 - -1)/(-2) - -3. Suppose -2*k - 2*h + 1592 = -r*h, 5*k - 3*h - 3979 = 0. Is k a composite number?
False
Let z(g) = g**3 - 6*g**2 - 25*g - 27. Let s(r) = -4*r**3 + 24*r**2 + 101*r + 108. Let m(y) = 2*s(y) + 9*z(y). Is m(14) a composite number?
True
Suppose u = 2*b + 3080, u - 4*b + 6160 = 3*u. Let q = -1321 + u. Is q a prime number?
True
Let t(n) = -n**2 - 14*n - 1. Let d be t(-10). Suppose 4*r + 31 = d. Is 87 + r + 0 + -4 a prime number?
False
Is 5714/(-6)*-1 + 74/111 composite?
False
Suppose 44098 = 11*v - 39073. Is v prime?
True
Is (34/4 + -8)*161306 a composite number?
True
Let h = -11728 - -17109. Suppose 0 = 4*n + 3*t - h, 5*n + 0*n - 2*t - 6709 = 0. Is n composite?
True
Is ((-13)/(-39))/((-1)/(-14583)) a prime number?
True
Let t be 770/50 - (-2)/(-5). Suppose -9 = 2*z + 3*u, 0 = u - 4*u - t. Suppose k + 109 = z*f, f - 1 - 34 = k. Is f a prime number?
True
Let x be (-982394)/(-35) + 3 - 2/5. Suppose 13*p + 7700 = x. Is p composite?
False
Let g(f) = 221*f - 58. Is g(49) prime?
True
Let m(g) = g**2 - 1366. Let k be m(0). Let w = k - -2909. Is w a composite number?
False
Suppose 3*z + 130 = -110. Let m = z + 28. Let y = -37 - m. Is y a prime number?
False
Suppose 0 = -o + 3, -2*c + 12 = 2*o. Is 1*(-207)/6*(-74)/c a composite number?
True
Let t be 18/(-21)*-1*(7 - 0). Suppose -h = 3*l - t*h - 2056, 4*h - 3365 = -5*l. Is l prime?
True
Let c(w) = -7*w + 2. Let k(v) = -v + 1. Let f(y) = c(y) - 4*k(y). Let g be f(-2). Suppose -1513 - 1075 = -g*h. Is h prime?
True
Let l = 56885 - 37728. Is l a prime number?
True
Let t be 4 + 5/(15/9). Let z be 2/(t/((-49)/(-2))). Suppose z*a - 4*a - 399 = 0. Is a composite?
True
Suppose -5*m - t + 7640 = -3*t, -m + 1528 = 2*t. Suppose 4*n + 4*i = m, 2*n + 4*i - 1054 = -296. Let l = -174 + n. Is l prime?
True
Let u(t) = 77*t + 9. Suppose -1 = -2*m - g - 0, 0 = -5*m - 2*g + 4. Is u(m) a composite number?
False
Let y(m) = m**2 + 4*m + 8. Let g be y(-12). Suppose a - 5*t - g = 0, 3*a - 5*t - 388 + 36 = 0. Suppose 5*l - 4*h = 307, l = 3*l - 2*h - a. Is l prime?
True
Suppose 5 + 27 = -4*m. Is (0 - -1347)*m/(-24) a composite number?
False
Let q = -50 + 53. Is (2439/21)/q - 4/(-14) a composite number?
True
Let g = -4 - -3. Let v(o) = -85*o - 2. Is v(g) composite?
False
Suppose 4*z - 5 = 59. Suppose f = -f + z. Suppose 1865 = 5*x + 3*o, 365 = x + o - f. Is x a prime number?
True
Let q = 21255 + -13993. Is q prime?
False
Suppose 4*f - 3*k + 79 = 0, -f - 3 = 2*k + 3. Let m be 3 - 4/(f/12). Let y(a) = 3*a**2 - 7*a - 8. Is y(m) composite?
True
Let d(l) = -l**3 + l**2 - 1. Let a be d(0). Is a/4 + 25839/44 composite?
False
Suppose 2*v = -2*o + 10, 2*o = 4*v - 0 - 20. Is (1362 - -2) + o + -3 composite?
False
Let c = -856 + 207. Let b = -227 - c. Is b a composite number?
True
Suppose -3*j = -7*j + 12. Let u be 200/(-6)*18/(-4). Suppose j*z + 337 = 5*a, 2*a - u = 5*z - 0. Is a a composite number?
True
Suppose t = -5*y, 3*y - t = y. Let g(q) = -q + 485. Is g(y) a composite number?
True
Is 50990/(-25)*-5 - 5 composite?
False
Suppose 0 = -f + 4*u + 2312, -5*u + 6851 = -0*f + 3*f. Suppose 4*a - 10 = -p, -3*p - 8*a = -4*a - 14. Suppose f = 4*b - 2*y - 3*y, p*y = 0. Is b a prime number?
False
Is ((-10)/(-4))/((-24)/(-156432)) a prime number?
False
Suppose -5*b = -3*b. Suppose b*a + 4 = 2*a. Suppose -3*v = -a*v - 413. Is v a composite number?
True
Suppose -24208 - 136715 = -21*z. Is z composite?
True
Let p(f) = 6*f**3 + 2*f**2 + 6*f + 5. Suppose -g + 13 = 3*a, 0*g - 2*a + 26 = 5*g. Is p(g) composite?
True
Let b(m) = m**2 - 6*m + 2. Let l be b(6). Let w be (24/36)/(l/9). Suppose 2 = -w*j + 59. Is j a prime number?
True
Let t(n) = 2*n**3 - 15*n**2 - 6*n + 16. Let r(u) = -u**3 + 8*u**2 + 3*u - 8. Let x(c) = 7*r(c) + 4*t(c). Let g be x(4). Is ((-23)/(-2))/(g/(-8)) composite?
False
Suppose -13*a + 245241 + 55540 = 0. Is a prime?
False
Let d = 6123 + -3262. Is d a composite number?
False
Suppose z + 5*h + 15 = -4*z, 3*z + 15 = -h. Let g(m) = -16*m**3 - 4*m**2 + 13*m - 11. Is g(z) prime?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*u. Suppose 12 - 7 = j. Let p(s) = -s - j + 0*s + 4 + 0. What is 6*p(a) - v(a)?
-2*a + 1
Let s(z) = -5*z + 5. Let p be (12/(-9))/((-2)/3). Let k(q) = -q + 1. Determine p*s(v) - 9*k(v).
-v + 1
Let m(b) = 3*b**3 + 3*b**2 + 8*b - 3. Let n(o) = -9*o**3 - 8*o**2 - 23*o + 8. Determine 8*m(p) + 3*n(p).
-3*p**3 - 5*p
Let s(i) = 2*i**3 + 4*i - 3. Let n(c) = -3*c**3 - 7*c + 5. Give -6*n(v) - 11*s(v).
-4*v**3 - 2*v + 3
Let q(y) = -16*y**3 - 4*y. Let f(r) = -15*r**3 - 5*r. Give 2*f(m) - 3*q(m).
18*m**3 + 2*m
Let o(v) = -5*v**2 + 4*v + 3. Suppose 0 = f - 6 + 1. Suppose 2*q - 14 = -4*p, -p - 4*q = -4*p + f. Let y(u) = 6*u**2 - 5*u - 4. What is p*y(i) + 4*o(i)?
-2*i**2 + i
Let r(d) = -d - 1. Let t be r(-4). Let v(n) = 5*n**3 + n**2 + n + 3. Let g(j) = -9*j**3 - 2*j**2 - j - 5. Determine t*g(p) + 5*v(p).
-2*p**3 - p**2 + 2*p
Let z(m) = -3*m**2 + 2. Let f = -5 + 8. Suppose 0 = -f*w + w - 4. Let n(a) = 4*a**2 - 3. Give w*n(s) - 3*z(s).
s**2
Let p(a) = a**3 + a**2. Let d(h) = -22*h**2. What is d(t) + 22*p(t)?
22*t**3
Let c(a) = 8*a - 10. Let y(i) = i - 1. Suppose 2*t = -t - 6. Calculate t*c(g) + 18*y(g).
2*g + 2
Let r(x) = 11*x - 5. Let i(j) be the third derivative of 2*j**4/3 - 7*j**3/6 + j**2. Let q(m) = -19*m - 280. Let p be q(-15). Determine p*i(g) - 7*r(g).
3*g
Let a(x) = -x**3 + x - 1. Let r(g) = -4*g**3 - 6*g + 6. Give 6*a(k) + r(k).
-10*k**3
Let z(y) = 10*y + 1. Let s(l) = 4*l + 50. Let r be s(-13). Let x(c) = 3*c. Give r*z(w) + 7*x(w).
w - 2
Let w(v) = -3*v + 8. Let u(a) = 3*a + 0*a - 3*a - a + 1. What is -5*u(y) + w(y)?
2*y + 3
Let a(v) = -2*v**2 - 7 + 3*v**2 + 3*v**2 + 3. Let g(q) be the third derivative of 0 - 1/60*q**5 + 0*q**4 - q**2 + 0*q + 1/6*q**3. Calculate a(p) + 2*g(p).
2*p**2 - 2
Let r(h) = h**3 + 32*h. Let d(y) = y**3 + 33*y. Calculate 5*d(c) - 6*r(c).
-c**3 - 27*c
Let t(c) = 11*c**2 + 5*c - 14. Suppose -4*q - 4*z + 4 = -0*z, -z - 4 = 0. Let r(l) = -7*l**2 - 3*l + 9. Calculate q*t(y) + 8*r(y).
-y**2 + y + 2
Let n(t) = -t**3 - 4*t**2 + 4. Let b(r) = -7*r**3 + 5*r**3 - 10*r**2 + 8 + 0*r**3 + 2. Determine 5*b(f) - 12*n(f).
2*f**3 - 2*f**2 + 2
Let q(i) = -5*i**3 + 17*i**2 - 9*i + 9. Let a be (-21)/(-12) - 2/(-8). Let v(y) = y**3 - 4*y**2 + 2*y - 2. Calculate a*q(t) + 9*v(t).
-t**3 - 2*t**2
Let b(l) = -11*l + 11. Let s(d) = -5*d + 5. Give -2*b(p) + 5*s(p).
-3*p + 3
Let k(t) = 3*t**3 + 4*t**2 + 4*t - 4. Let s(b) = -2*b**3 + 145*b**2 - 148*b**2 + 0*b - 3*b + 3. Give 3*k(z) + 4*s(z).
z**3
Let c(j) = -j - 1. Let u(p) = -p - 7. Calculate 2*c(b) - u(b).
-b + 5
Let l(z) = -3*z**3 - z**2 - 2*z + 4. Let p(i) = -4*i**3 - 2*i**2 - 3*i + 5. Determine -3*l(u) + 2*p(u).
u**3 - u**2 - 2
Let g(c) = -5*c**3 + c**2 + 2*c + 4. Let z(a) = -3*a**3 + 4*a**2 - 3*a**2 - a + 3 + 2*a - a**3. Calculate 3*g(v) - 4*z(v).
v**3 - v**2 + 2*v
Let j(o) = o**2 + o. Let i(z) = 4*z + 0*z**2 - 2 + 4*z**2 - z**2. Give i(y) - 4*j(y).
-y**2 - 2
Let v(k) = -3*k + 7. Let f(a) be the second derivative of a**3/6 - a**2 + 9*a. Let j = -1 + 15. Calculate j*f(h) + 4*v(h).
2*h
Let m(q) = 6*q**2 + 5*q + 5. Suppose 5*w - 2*o + 26 = 0, -6 - 2 = 4*o. Let s = -4 - w. Let j(r) = 3*r**2 + 2*r + 2. Determine s*m(b) - 5*j(b).
-3*b**2
Let j(d) = -6*d - 4. Let x(q) = -8*q - 9. Let a(k) = 3*k + 3. Let c(h) = -7*a(h) - 2*x(h). Calculate -5*c(z) + 4*j(z).
z - 1
Let l(n) = -8*n**3 - 6 - 6*n**3 + 18*n**3 - 6*n**2. Let q(f) = 11*f**3 - 17*f**2 - 17. Determine 17*l(c) - 6*q(c).
2*c**3
Let a(s) = -s**2 + 3*s - 2. Let c be a(4). Let b(o) = -3*o**3 + 3*o**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 468 is divided by 237?
231
Calculate the remainder when 207 is divided by 26.
25
What is the remainder when 42 is divided by 10?
2
What is the remainder when 44 is divided by 4?
0
Calculate the remainder when 3016 is divided by 108.
100
Calculate the remainder when 983 is divided by 33.
26
What is the remainder when 800 is divided by 792?
8
Calculate the remainder when 10 is divided by 10.
0
What is the remainder when 2035 is divided by 170?
165
What is the remainder when 4434 is divided by 4?
2
Calculate the remainder when 199 is divided by 53.
40
What is the remainder when 652 is divided by 627?
25
What is the remainder when 129 is divided by 50?
29
What is the remainder when 30 is divided by 13?
4
What is the remainder when 19 is divided by 11?
8
What is the remainder when 77 is divided by 39?
38
Calculate the remainder when 122 is divided by 114.
8
Calculate the remainder when 26619 is divided by 416.
411
Calculate the remainder when 363 is divided by 61.
58
What is the remainder when 200 is divided by 97?
6
What is the remainder when 384 is divided by 11?
10
What is the remainder when 85 is divided by 19?
9
Calculate the remainder when 3140 is divided by 55.
5
What is the remainder when 157 is divided by 51?
4
What is the remainder when 1358 is divided by 85?
83
What is the remainder when 257 is divided by 86?
85
What is the remainder when 111 is divided by 21?
6
What is the remainder when 14012 is divided by 4668?
8
Calculate the remainder when 248 is divided by 241.
7
Calculate the remainder when 410 is divided by 137.
136
Calculate the remainder when 19 is divided by 14.
5
What is the remainder when 35 is divided by 18?
17
Calculate the remainder when 242 is divided by 81.
80
What is the remainder when 744 is divided by 47?
39
Calculate the remainder when 696 is divided by 142.
128
Calculate the remainder when 1195 is divided by 16.
11
Calculate the remainder when 523 is divided by 140.
103
What is the remainder when 2471 is divided by 79?
22
Calculate the remainder when 1225 is divided by 3.
1
What is the remainder when 130 is divided by 49?
32
What is the remainder when 63 is divided by 42?
21
What is the remainder when 49 is divided by 30?
19
What is the remainder when 737 is divided by 273?
191
Calculate the remainder when 22003 is divided by 163.
161
What is the remainder when 66 is divided by 13?
1
What is the remainder when 481 is divided by 18?
13
Calculate the remainder when 841 is divided by 354.
133
What is the remainder when 4551 is divided by 134?
129
What is the remainder when 612 is divided by 590?
22
Calculate the remainder when 1111 is divided by 60.
31
What is the remainder when 429 is divided by 209?
11
Calculate the remainder when 1300 is divided by 31.
29
What is the remainder when 487 is divided by 238?
11
What is the remainder when 1288 is divided by 80?
8
What is the remainder when 1005 is divided by 14?
11
Calculate the remainder when 2479 is divided by 22.
15
What is the remainder when 2065 is divided by 687?
4
What is the remainder when 4765 is divided by 1566?
67
Calculate the remainder when 3062 is divided by 15.
2
Calculate the remainder when 526 is divided by 523.
3
Calculate the remainder when 242 is divided by 41.
37
What is the remainder when 1098 is divided by 25?
23
Calculate the remainder when 51 is divided by 13.
12
Calculate the remainder when 1942 is divided by 329.
297
Calculate the remainder when 26 is divided by 2.
0
Calculate the remainder when 3720 is divided by 919.
44
Calculate the remainder when 280 is divided by 48.
40
Calculate the remainder when 141 is divided by 48.
45
What is the remainder when 1037 is divided by 106?
83
Calculate the remainder when 814 is divided by 24.
22
Calculate the remainder when 112 is divided by 20.
12
What is the remainder when 13496 is divided by 10?
6
What is the remainder when 3464 is divided by 1730?
4
What is the remainder when 939 is divided by 307?
18
Calculate the remainder when 725 is divided by 43.
37
Calculate the remainder when 82 is divided by 24.
10
What is the remainder when 176 is divided by 89?
87
What is the remainder when 976 is divided by 35?
31
What is the remainder when 2310 is divided by 763?
21
Calculate the remainder when 638 is divided by 32.
30
What is the remainder when 33 is divided by 18?
15
What is the remainder when 702 is divided by 3?
0
Calculate the remainder when 940 is divided by 23.
20
Calculate the remainder when 36 is divided by 16.
4
What is the remainder when 428 is divided by 33?
32
Calculate the remainder when 88 is divided by 70.
18
Calculate the remainder when 237 is divided by 50.
37
What is the remainder when 69 is divided by 10?
9
Calculate the remainder when 48 is divided by 24.
0
Calculate the remainder when 418 is divided by 30.
28
What is the remainder when 498 is divided by 167?
164
Calculate the remainder when 196 is divided by 66.
64
Calculate the remainder when 530 is divided by 254.
22
What is the remainder when 126 is divided by 47?
32
Calculate the remainder when 6189 is divided by 86.
83
Calculate the remainder when 212 is divided by 66.
14
Calculate the remainder when 1708 is divided by 350.
308
Calculate the remainder when 266 is divided by 34.
28
What is the remainder when 92 is divided by 86?
6
What is the remainder when 1061 is divided by 152?
149
Calculate the remainder when 96 is divided by 17.
11
Calculate the remainder when 35 is divided by 10.
5
Calculate the remainder when 766 is divided by 24.
22
Calculate the remainder when 174 is divided by 146.
28
What is the remainder when 33 is divided by 12?
9
What is the remainder when 256 is divided by 97?
62
Calculate the remainder when 44 is divided by 15.
14
Calculate the remainder when 190 is divided by 190.
0
Calculate the remainder when 7070 is divided by 18.
14
What is the remainder when 5291 is divided by 12?
11
Calculate the remainder when 191 is divided by 65.
61
What is the remainder when 15516 is divided by 21?
18
Calculate the remainder when 246 is divided by 229.
17
What is the remainder when 1400 is divided by 236?
220
What is the remainder when 1803 is divided by 175?
53
What is the remainder when 2177 is divided by 121?
120
Calculate the remainder when 291 is divided by 36.
3
What is the remainder when 80 is divided by 26?
2
Calculate the remainder when 128 is divided by 23.
13
Calculate the remainder when 1758 is divided by 16.
14
Calculate the remainder when 5826 is divided by 24.
18
What is the remainder when 3300 is divided by 257?
216
Calculate the remainder when 250 is divided by 15.
10
Calculate the remainder when 262 is divided by 26.
2
What is the remainder when 792 is divided by 13?
12
What is the remainder when 300 is divided by 43?
42
Calculate the remainder when 653 is divided by 41.
38
Calculate the remainder when 597 is divided by 120.
117
Calculate the remainder when 538 is divided by 106.
8
Calculate the remainder when 242 is divided by 46.
12
Calculate the remainder when 67 is divided by 28.
11
Calculate the remainder when 59 is divided by 15.
14
What is the remainder when 85 is divided by 13?
7
Calculate the remainder when 176 is divided by 49.
29
What is the remainder when 740 is divided by 14?
12
What is the remainder when 4481 is divided by 83?
82
Calculate the remainder when 124 is divided by 53.
18
What is the remainder when 986 is divided by 327?
5
Calculate the remainder when 883 is divided by 13.
12
What is the remainder when 53 is divided by 16?
5
Calculate the remainder when 35813 is divided by 37.
34
What is the remainder when 11017 is divided by 688?
9
Calculate the remainder when 81 is divided by 28.
25
What is the remainder when 80 is divided by 33?
14
What is the remainder when 554 is divided by 138?
2
What is the remainder when 3892 is divided by 118?
116
What is the remainder when 892 is divided by 156?
112
|
{
"pile_set_name": "DM Mathematics"
}
|
c))/c*c) assuming c is positive.
c**(-61/5)
Simplify m**12/m**(2/7)*(m/m**(-1/3))/m*m/(m/m**(2/31)) assuming m is positive.
m**(7885/651)
Simplify ((v**(-15)/v*v**(-12))**(-33))**(-36) assuming v is positive.
v**(-33264)
Simplify (a*((a*a*a**(-1/3)*a)/a)/a*a*a/a**5*a**(-5)/a*a**(2/13))**(-22) assuming a is positive.
a**(6160/39)
Simplify ((z**(-1/11)*z*z*z*z**(-4/13)*z*z)/((z/(z*z**3/z))/z**(-1)))**(5/8) assuming z is positive.
z**(4005/1144)
Simplify ((s/((s*s/(s**(-3/7)*s))/s)*s**(-2/9)*s*s)/(s**8/(s*s/(s/(s*s*s**(-2/13)*s*s)))))**(-26) assuming s is positive.
s**(1318/63)
Simplify ((h/(h**(-2/5)*h)*h)/(h**(-13)*h))/(h**(-9)/(h/((h*h/h**(-5/3))/h*h))) assuming h is positive.
h**(296/15)
Simplify ((y**(4/7)/y)/y**(-30))/(y**13*y)**(13/7) assuming y is positive.
y**(25/7)
Simplify ((f/(f*f**(-1)/f)*f)**(-2/5)/((f*f/(f*f**(-1)))/f)**(4/15))**(-8/3) assuming f is positive.
f**(176/45)
Simplify ((h*(h**(1/5)/h)/h*h)/h**(-4/7))/((h*h**(-10/9))/h)**(-41) assuming h is positive.
h**(-14107/315)
Simplify ((y*y*y/y**(3/16)*y)**(-3/13))**26 assuming y is positive.
y**(-183/8)
Simplify (((l**2/l)**(-39))**(-40))**32 assuming l is positive.
l**49920
Simplify ((v/(v*(v*v**(5/7)*v)/v))/v*v**18)**(-44) assuming v is positive.
v**(-4708/7)
Simplify ((p**3/p**(-3))**0)**(22/7) assuming p is positive.
1
Simplify (l**(-1/4)*l/(l**(-4/13)/l))/(l*l/(l**(11/4)*l)*l*l**0) assuming l is positive.
l**(73/26)
Simplify (w**(1/11))**(-1/25)/((w*w**(1/10)/w)/(w/(w*w/(w**(-3/10)/w)))) assuming w is positive.
w**(-661/275)
Simplify (w/(w/((w/(w**(-4)/w))/w)*w))**(5/21)*w**12/w**(-4/11) assuming w is positive.
w**(3076/231)
Simplify (y**(-2/5)/(y**(-15)/y))**(-1/41) assuming y is positive.
y**(-78/205)
Simplify ((s**4/s*s)/(s/s**(-1/4))*s/((s/(s**(-4/5)/s))/s)*s**(-3/5))**(-5/7) assuming s is positive.
s**(-27/28)
Simplify (n/(n*n**(2/25)*n))**(-7/5)*(n*(n/(n*n/(n/(n/(n*(n**3/n)/n*n))*n))*n)/n*n)**48 assuming n is positive.
n**(30189/125)
Simplify x**(-2/11)*x**(-4)/x*(x**15)**(2/39) assuming x is positive.
x**(-631/143)
Simplify ((m*m*m**(2/3))**(-25)/((m/((m/(m*(m/(m/m**0))/m))/m))/(m/(m**(-1/14)/m))))**(-2/7) assuming m is positive.
m**(2755/147)
Simplify ((q*q/(q**5/q)*q)/q**(6/5))/(q**(-5)/(q*q**4)) assuming q is positive.
q**(39/5)
Simplify (((d*d*d**7)/d**(-2/29))/((d*d**(-4))/d**(-1/4)))**(-24) assuming d is positive.
d**(-8226/29)
Simplify c**6/(c/(c/c**(3/11)*c*c*c)*c)*(c/c**(3/7))/c**(2/53) assuming c is positive.
c**(33713/4081)
Simplify ((l*l*l**(-8)*l*l)/l*l*l)/(l**(2/27)*l)*l*l**(-8)*l**(20/9)/l assuming l is positive.
l**(-266/27)
Simplify (r/(r*r/((r/r**(-1/9))/r))*(r**12/r*r)/r)/((r/r**(6/7)*r)/r**8) assuming r is positive.
r**(1069/63)
Simplify (((u/(((u**(-4)/u)/u)/u))/(u*u**(-2/17)))/(u*u**6*u/(u/(u**(2/3)/u))))**6 assuming u is positive.
u**(46/17)
Simplify (g**(-2/5))**(1/12)/((g*(g/(g*g**8))/g*g)/g**(2/41)) assuming g is positive.
g**(8629/1230)
Simplify l*l**(-15)*l*l*l**(7/3)*l*l**(4/5)*(l*l*l*(l/(l*l*(l**18*l)/l*l)*l*l)/l*l)/l assuming l is positive.
l**(-358/15)
Simplify ((b**33)**(-11/5))**43 assuming b is positive.
b**(-15609/5)
Simplify (s/(s*s/s**(-4/11)*s*s*s)*s**10)/((s/(s*s*s*s**(1/9)*s))/(s*s**(2/33)*s)) assuming s is positive.
s**(1070/99)
Simplify (u*u**3)**(-4/15)/((u**(-3)*u)/u)**(-21) assuming u is positive.
u**(-961/15)
Simplify ((r/(r/(r**(12/7)/r)))/r**(-13))/(r*r/(r*r**(-5)))**(10/13) assuming r is positive.
r**(828/91)
Simplify (z**10*z*z/(z*((z*z/(z*z**(-9)))/z)/z))/((z/(z*z*z*z**(-7))*z)/z*z/(((z**5/z)/z*z*z*z*z)/z*z)) assuming z is positive.
z**4
Simplify ((t*t**(-4/5)/t)**(-21))**(8/5) assuming t is positive.
t**(672/25)
Simplify c/(c*c*c**(-2)/c*c)*c**(-1)*c**1/(c/(c*c**(-5)*c)) assuming c is positive.
c**(-3)
Simplify (p*p**6*(p/p**7)/p*(p*p**(-1))**(-25))**(-12) assuming p is positive.
1
Simplify ((a**(-8/5))**(-8/7))**(-1/16) assuming a is positive.
a**(-4/35)
Simplify (y**(1/11)*y*(y*y**(-6)*y)/y*y/(y*y**(-1/9)*y)*(y*y**(-7))/y)**(2/113) assuming y is positive.
y**(-2336/11187)
Simplify (m**(-1/12)*m*m*m)**(-6)*(m/m**(1/4))**(-7) assuming m is positive.
m**(-91/4)
Simplify (((o/(o/(o*(o*o**3)/o)*o))/o**15)**(3/7))**(1/15) assuming o is positive.
o**(-12/35)
Simplify m**(3/7)/(m/((m**10*m)/m)*m)*m**10/m**11 assuming m is positive.
m**(52/7)
Simplify (o*o**(-1))**(-1/7)*(o**(1/3))**(-21) assuming o is positive.
o**(-7)
Simplify ((z**21)**(-31/2))**(-4) assuming z is positive.
z**1302
Simplify (q/q**(-1/6))**(-23)*q*q/((q/(q*q**(-1/6
|
{
"pile_set_name": "DM Mathematics"
}
|
13 = 5*m - 68. Let x = m + -12. What is the tens digit of (104/((-16)/4))/x?
2
Let o(q) = -7*q + 5. Let z be o(2). Let r be ((-144)/10)/(z/30). What is the tens digit of 1/((-2)/r*-2)?
1
Let f = -36 + 39. Let a(b) = -b**3 + 3*b**2 + 4*b - 1. What is the units digit of a(f)?
1
Let v = -1 + 69. Suppose -20 = 6*h - 2*h, -h = t - v. What is the units digit of t?
3
Let l = -390 + 1118. What is the hundreds digit of l?
7
Let y be 0/4 + 6/3. Let s(l) = -6*l - 2. Let c be s(-6). What is the tens digit of (y - (3 + 1)) + c?
3
Suppose 6*y - 4*y - 110 = 0. What is the units digit of y?
5
Let h(o) = -o + 11. Let p be h(5). Let j = -178 - -254. Suppose -g = z - 20, -5*g - j = 3*z - p*z. What is the tens digit of z?
2
Let g(z) be the first derivative of z**4/4 - 10*z**3/3 - z**2/2 + 10*z + 6. Let v be g(10). Suppose 3*l - 110 - 52 = v. What is the units digit of l?
4
Let a = 4547 - 2303. What is the units digit of a?
4
Let k(d) be the second derivative of d**4/4 - d**3/6 - 5*d**2 + 11*d. What is the tens digit of k(-6)?
0
Suppose -4*g = 5*b, b = 3*g + 2*g. Suppose v - 45 - 88 = g. What is the hundreds digit of v?
1
Suppose 4*m - 5*f - 36 = -0*m, 0 = 2*f. What is the units digit of (-5)/10 - m/(-2)?
4
Suppose -5*g + 195 = w, g = 3*w - 3 + 26. Let b = g + -19. What is the units digit of b?
9
Let s = 23 - 18. Suppose -352 = -s*c - 67. Suppose -k + 3*l - 12 + c = 0, 5*k - 155 = l. What is the units digit of k?
0
Let j(z) = 13 + 19*z - 6*z - 7*z. Let v be j(-9). Let l = -8 - v. What is the tens digit of l?
3
Let a = 30 - 25. Let y be (-12)/10*10/(-1). Let h = y - a. What is the units digit of h?
7
Suppose 4*h = 4*p - 20, 5*h - 2*p - 2*p + 30 = 0. What is the units digit of 23 + h/(-35) + (-38)/(-14)?
6
Let y(h) = -1406*h - 2. Let i be y(-3). Let z be i/20 - 8/10. What is the tens digit of ((-24)/60)/((-2)/z)?
4
Suppose 0 = -5*q - 4*x + 4805, -4*x - 338 = -4*q + 3542. Suppose -4*m - q = -3*k, -m - 2*m - 966 = -3*k. What is the units digit of k?
3
What is the hundreds digit of 32/6*(12/(-3) - -262)?
3
Suppose 4*d - 17 + 1 = 0. Suppose -d*x = -x - 78. What is the tens digit of x?
2
Let i be 31/(3 + (-35)/10). Let v = i + 105. What is the units digit of v?
3
Suppose -255484 = -85*b + 64626. What is the hundreds digit of b?
7
What is the units digit of -1*(-45)/(-5) + 15?
6
Let x = 424 + -336. What is the units digit of x?
8
Let q = -11 + 14. Let z be (-126)/(-49)*14/q. Let d = 26 - z. What is the tens digit of d?
1
Let o(j) be the first derivative of 13*j**2/2 - 20*j - 12. What is the units digit of o(8)?
4
Let o be 3 - (-150 - (-12)/(-3)). Suppose -4*n - o = -805. What is the units digit of n?
2
Suppose -3*a + 119 + 4 = 0. Suppose 2*i - 111 = -a. What is the units digit of i?
5
Suppose -160*q + 159*q + 36 = 0. What is the units digit of q?
6
Let s(t) = -t + 13. Let w be s(17). Let f(r) = 7*r**2 - 6*r + 3. What is the hundreds digit of f(w)?
1
Suppose 0 = -3*k - 0*k + 6, -33 = -j + 2*k. Let m = -21 + j. Let p = -12 + m. What is the units digit of p?
4
Let h(z) = -z**3 - 10*z**2 - 18*z - 5. Let y be h(-8). Let x be 1*(2 + 1 + -3). Suppose x = -2*i + 59 - y. What is the tens digit of i?
2
Let i(k) be the first derivative of 2*k**2 + 4*k + 8. What is the units digit of i(8)?
6
Let p = 6648 + -2144. What is the hundreds digit of p?
5
Let l(b) = 0*b - 1 + 0 + 6*b. Let h = -6 - -8. What is the tens digit of l(h)?
1
What is the hundreds digit of 2470/9*6 - (-328)/246?
6
Let d = -485 - -430. Let f be (-124)/(-12) - (-2)/3. What is the units digit of (-10)/d - (-108)/f?
0
What is the hundreds digit of (-8810)/(-26) + 4/26?
3
Suppose -29*s - 26780 = -49*s. What is the tens digit of s?
3
Let t(d) = -d - 7. Let s be t(-10). Suppose 3*h = -p + 29, -3*h - s*p + 15 = -2*h. What is the tens digit of 33 - h - (2 + -2)?
2
Let c(b) = b**2 - 2*b - 8. Let f be c(-7). Let n = f + 29. What is the units digit of n?
4
Let b = 4 + -9. Let g = 16 + b. Suppose h = -0*h + g. What is the tens digit of h?
1
Let t = 83 + -23. Let f = -87 - -89. Suppose -f*j + t = 2*j. What is the tens digit of j?
1
Suppose -1449 = -2*d - 399. What is the units digit of d?
5
Let c be -1 - 32/(-6) - (-3)/(-9). Suppose 4*k = 2*q + 8, -k - q = c*k - 3. What is the units digit of k?
1
Let s = -5566 - -10640. What is the thousands digit of s?
5
What is the units digit of -2*((-239)/2 + 2)?
5
Let w = -384 + 788. Suppose 0 = 7*u - w + 26. What is the tens digit of u?
5
Let z(i) = i**3 - 9*i**2 + 11*i - 19. Let d be z(9). Suppose -c + d + 30 = 0. What is the tens digit of c?
1
Let w(q) = q**3 - 5*q**2 + 2*q + 6. Let r be w(5). Let x = -39 + 57. Let d = x - r. What is the units digit of d?
2
Let r(s) = 5*s + 616. What is the hundreds digit of r(0)?
6
Let o = 2 + 26. Let b be (-7)/o - (-78)/(-8). Let x = b + 20. What is the tens digit of x?
1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the units digit of 93940?
0
What is the thousands digit of 7075808?
5
What is the hundred thousands digit of 7539587?
5
What is the hundreds digit of 1632183?
1
What is the tens digit of 2249505?
0
What is the units digit of 27715561?
1
What is the millions digit of 1391006?
1
What is the hundreds digit of 671422?
4
What is the units digit of 1585866?
6
What is the hundreds digit of 389172?
1
What is the hundred thousands digit of 3639009?
6
What is the millions digit of 22908350?
2
What is the units digit of 2702?
2
What is the thousands digit of 8545088?
5
What is the thousands digit of 1237011?
7
What is the units digit of 13031390?
0
What is the tens digit of 941661?
6
What is the tens digit of 2560596?
9
What is the hundred thousands digit of 904868?
9
What is the ten thousands digit of 474581?
7
What is the thousands digit of 2237563?
7
What is the hundreds digit of 207079?
0
What is the thousands digit of 885910?
5
What is the millions digit of 9837899?
9
What is the hundred thousands digit of 223485?
2
What is the units digit of 558939?
9
What is the hundreds digit of 324972?
9
What is the thousands digit of 151845?
1
What is the thousands digit of 176402?
6
What is the hundreds digit of 38799836?
8
What is the hundred thousands digit of 165607?
1
What is the hundred thousands digit of 14177136?
1
What is the hundred thousands digit of 6660334?
6
What is the thousands digit of 892528?
2
What is the thousands digit of 734180?
4
What is the millions digit of 1920909?
1
What is the ten thousands digit of 273683?
7
What is the ten millions digit of 15120922?
1
What is the tens digit of 191163?
6
What is the units digit of 658049?
9
What is the units digit of 564760?
0
What is the ten thousands digit of 140501?
4
What is the hundreds digit of 1371061?
0
What is the thousands digit of 384998?
4
What is the hundreds digit of 1790177?
1
What is the hundreds digit of 673660?
6
What is the thousands digit of 795807?
5
What is the hundred thousands digit of 6164829?
1
What is the hundred thousands digit of 963931?
9
What is the thousands digit of 710893?
0
What is the thousands digit of 11906249?
6
What is the units digit of 1605326?
6
What is the millions digit of 1368686?
1
What is the units digit of 1085256?
6
What is the ten thousands digit of 452434?
5
What is the ten thousands digit of 257083?
5
What is the hundred thousands digit of 3397553?
3
What is the ten thousands digit of 1697248?
9
What is the tens digit of 779080?
8
What is the ten thousands digit of 2614541?
1
What is the thousands digit of 2418444?
8
What is the millions digit of 2248162?
2
What is the units digit of 11297306?
6
What is the ten thousands digit of 14602748?
0
What is the thousands digit of 3711?
3
What is the tens digit of 874304?
0
What is the tens digit of 127928?
2
What is the hundreds digit of 9920742?
7
What is the ten thousands digit of 2015077?
1
What is the hundreds digit of 5327785?
7
What is the units digit of 724134?
4
What is the hundreds digit of 399479?
4
What is the hundreds digit of 489763?
7
What is the hundred thousands digit of 105698?
1
What is the tens digit of 370552?
5
What is the thousands digit of 181099?
1
What is the millions digit of 5971616?
5
What is the tens digit of 40302?
0
What is the hundred thousands digit of 3269973?
2
What is the hundreds digit of 25435097?
0
What is the units digit of 258666?
6
What is the millions digit of 5514748?
5
What is the hundreds digit of 2117325?
3
What is the thousands digit of 351955?
1
What is the millions digit of 33438107?
3
What is the ten thousands digit of 42611008?
1
What is the hundred thousands digit of 1463611?
4
What is the ten thousands digit of 267834?
6
What is the ten thousands digit of 278550?
7
What is the ten thousands digit of 3475123?
7
What is the tens digit of 797253?
5
What is the hundred thousands digit of 179994?
1
What is the ten thousands digit of 883554?
8
What is the units digit of 580189?
9
What is the units digit of 9610785?
5
What is the thousands digit of 3755309?
5
What is the hundred thousands digit of 10972010?
9
What is the hundreds digit of 9149671?
6
What is the units digit of 686787?
7
What is the hundreds digit of 838100?
1
What is the thousands digit of 105938?
5
What is the hundreds digit of 691031?
0
What is the units digit of 668350?
0
What is the hundreds digit of 835032?
0
What is the tens digit of 410762?
6
What is the millions digit of 1945245?
1
What is the hundreds digit of 283545?
5
What is the units digit of 31590716?
6
What is the ten thousands digit of 1286027?
8
What is the thousands digit of 237103?
7
What is the units digit of 204595?
5
What is the thousands digit of 513736?
3
What is the tens digit of 21839?
3
What is the units digit of 278244?
4
What is the thousands digit of 57851?
7
What is the ten thousands digit of 26277238?
7
What is the thousands digit of 374836?
4
What is the thousands digit of 164725?
4
What is the ten thousands digit of 4738870?
3
What is the hundreds digit of 686370?
3
What is the tens digit of 215147?
4
What is the thousands digit of 425279?
5
What is the units digit of 29537?
7
What is the tens digit of 308799?
9
What is the ten thousands digit of 537909?
3
What is the units digit of 797235?
5
What is the hundreds digit of 925257?
2
What is the tens digit of 83458?
5
What is the hundred thousands digit of 255667?
2
What is the hundred thousands digit of 2029086?
0
What is the hundred thousands digit of 1655964?
6
What is the ten millions digit of 13019179?
1
What is the thousands digit of 88539?
8
What is the hundred thousands digit of 1478290?
4
What is the hundreds digit of 4718845?
8
What is the units digit of 817668?
8
What is the thousands digit of 4668928?
8
What is the hundred thousands digit of 8587516?
5
What is the hundred thousands digit of 398247?
3
What is the units digit of 2029010?
0
What is the hundred thousands digit of 794075?
7
What is the ten millions digit of 25561214?
2
What is the units digit of 591360?
0
What is the thousands digit of 67127?
7
What is the millions digit of 14729014?
4
What is the millions digit of 5663205?
5
What is the hundreds digit of 15493508?
5
What is the units digit of 1523786?
6
What is the ten thousands digit of 2280285?
8
What is the units digit of 6103634?
4
What is the hundred thousands digit of 4574232?
5
What is the hundred thousands digit of 136586?
1
What is the ten thousands digit of 248948?
4
What is the tens digit of 629457?
5
What is the hundred thousands digit of 195150?
1
What is the units digit of 470942?
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when 439232 is divided by 21.
17
Calculate the remainder when 95244 is divided by 532.
16
What is the remainder when 2744 is divided by 156?
92
Calculate the remainder when 1585 is divided by 70.
45
What is the remainder when 232959 is divided by 208?
207
What is the remainder when 102949 is divided by 219?
19
What is the remainder when 72969 is divided by 62?
57
Calculate the remainder when 3271356 is divided by 69.
66
Calculate the remainder when 4803 is divided by 1593.
24
Calculate the remainder when 459 is divided by 452.
7
What is the remainder when 78524 is divided by 2?
0
What is the remainder when 3406 is divided by 1689?
28
What is the remainder when 10732 is divided by 11?
7
Calculate the remainder when 499332 is divided by 6935.
12
Calculate the remainder when 11561 is divided by 2890.
1
Calculate the remainder when 117 is divided by 15.
12
What is the remainder when 378069 is divided by 6?
3
What is the remainder when 70446 is divided by 117?
12
Calculate the remainder when 12570 is divided by 463.
69
Calculate the remainder when 7846 is divided by 309.
121
What is the remainder when 9995 is divided by 941?
585
What is the remainder when 41838 is divided by 211?
60
What is the remainder when 1057 is divided by 78?
43
Calculate the remainder when 2519 is divided by 43.
25
What is the remainder when 28929 is divided by 19?
11
Calculate the remainder when 6092 is divided by 1191.
137
Calculate the remainder when 5091 is divided by 29.
16
Calculate the remainder when 145619 is divided by 17.
14
Calculate the remainder when 83406 is divided by 47.
28
Calculate the remainder when 165622 is divided by 25.
22
Calculate the remainder when 3601 is divided by 257.
3
What is the remainder when 643 is divided by 149?
47
Calculate the remainder when 592021 is divided by 42286.
17
What is the remainder when 806 is divided by 386?
34
Calculate the remainder when 691095 is divided by 54.
3
What is the remainder when 2523507 is divided by 24?
3
What is the remainder when 32124 is divided by 946?
906
What is the remainder when 33135 is divided by 30?
15
Calculate the remainder when 43991 is divided by 60.
11
Calculate the remainder when 19095 is divided by 291.
180
What is the remainder when 170607 is divided by 235?
232
Calculate the remainder when 2306 is divided by 551.
102
Calculate the remainder when 108071 is divided by 127.
121
Calculate the remainder when 30866 is divided by 245.
241
What is the remainder when 29057 is divided by 9?
5
Calculate the remainder when 3139 is divided by 382.
83
What is the remainder when 18707 is divided by 103?
64
What is the remainder when 26748 is divided by 165?
18
Calculate the remainder when 12871 is divided by 61.
0
What is the remainder when 14744 is divided by 301?
296
What is the remainder when 6877 is divided by 629?
587
What is the remainder when 33497 is divided by 250?
247
What is the remainder when 3102 is divided by 13?
8
What is the remainder when 6682 is divided by 844?
774
What is the remainder when 69 is divided by 5?
4
What is the remainder when 7083 is divided by 18?
9
What is the remainder when 1923 is divided by 60?
3
What is the remainder when 4344771 is divided by 658?
655
Calculate the remainder when 23975 is divided by 358.
347
What is the remainder when 16034 is divided by 4006?
10
What is the remainder when 715899 is divided by 118?
111
What is the remainder when 87292 is divided by 3637?
4
Calculate the remainder when 13310 is divided by 4426.
32
Calculate the remainder when 24224 is divided by 24.
8
Calculate the remainder when 128687 is divided by 711.
707
Calculate the remainder when 678365 is divided by 688.
685
What is the remainder when 657 is divided by 17?
11
Calculate the remainder when 7395418 is divided by 230.
228
Calculate the remainder when 106347 is divided by 326.
71
Calculate the remainder when 7139 is divided by 21.
20
Calculate the remainder when 1347 is divided by 477.
393
Calculate the remainder when 14420 is divided by 764.
668
What is the remainder when 434320 is divided by 18?
16
Calculate the remainder when 78476 is divided by 628.
604
Calculate the remainder when 14438 is divided by 314.
308
Calculate the remainder when 5480 is divided by 1820.
20
Calculate the remainder when 3087 is divided by 13.
6
What is the remainder when 655757 is divided by 20?
17
What is the remainder when 30560 is divided by 3804?
128
Calculate the remainder when 86791 is divided by 1422.
49
What is the remainder when 55834 is divided by 206?
8
Calculate the remainder when 21696 is divided by 21696.
0
What is the remainder when 96280 is divided by 54?
52
What is the remainder when 12219 is divided by 939?
12
Calculate the remainder when 14598 is divided by 7275.
48
What is the remainder when 277018 is divided by 60?
58
Calculate the remainder when 7663 is divided by 453.
415
What is the remainder when 1096159 is divided by 41?
24
Calculate the remainder when 103597 is divided by 103532.
65
Calculate the remainder when 3557 is divided by 573.
119
Calculate the remainder when 12174 is divided by 811.
9
Calculate the remainder when 17051 is divided by 5583.
302
Calculate the remainder when 64 is divided by 17.
13
What is the remainder when 2912 is divided by 207?
14
What is the remainder when 36504 is divided by 36498?
6
Calculate the remainder when 1216 is divided by 133.
19
Calculate the remainder when 3857470 is divided by 662.
658
What is the remainder when 11993 is divided by 431?
356
What is the remainder when 96963 is divided by 3877?
38
What is the remainder when 5068 is divided by 556?
64
What is the remainder when 5392 is divided by 114?
34
What is the remainder when 364477 is divided by 23?
19
What is the remainder when 4165 is divided by 1372?
49
What is the remainder when 17110 is divided by 32?
22
What is the remainder when 781 is divided by 339?
103
What is the remainder when 2699 is divided by 308?
235
What is the remainder when 399259 is divided by 8?
3
Calculate the remainder when 49337 is divided by 345.
2
Calculate the remainder when 5957 is divided by 367.
85
What is the remainder when 3592287 is divided by 1568?
1567
Calculate the remainder when 91001 is divided by 279.
47
Calculate the remainder when 15862 is divided by 26.
2
What is the remainder when 59123 is divided by 14776?
19
What is the remainder when 1124 is divided by 63?
53
Calculate the remainder when 4468 is divided by 2230.
8
What is the remainder when 45447 is divided by 52?
51
What is the remainder when 268 is divided by 15?
13
Calculate the remainder when 1115 is divided by 112.
107
What is the remainder when 115364 is divided by 57661?
42
Calculate the remainder when 5919 is divided by 89.
45
Calculate the remainder when 3809 is divided by 512.
225
What is the remainder when 23724 is divided by 3917?
222
What is the remainder when 6568 is divided by 170?
108
Calculate the remainder when 539 is divided by 85.
29
What is the remainder when 38159 is divided by 81?
8
Calculate the remainder when 106498 is divided by 30.
28
Calculate the remainder when 303619 is divided by 170.
169
What is the remainder when 3354 is divided by 154?
120
Calculate the remainder when 2298 is divided by 1007.
284
What is the remainder when 26430 is divided by 781?
657
Calculate the remainder when 12625 is divided by 400.
225
Calculate the remainder when 24866 is divided by 8285.
11
Calculate the remainder when 12272 is divided by 941.
39
What is the remainder when 7079 is divided by 60?
59
What is the remainder when 26538 is divided by 344?
50
What is the remainder when 192492 is divided by 15?
12
What is the remainder when 9234 is divided by 298?
294
|
{
"pile_set_name": "DM Mathematics"
}
|
*j**2 + o*j + t*j**3 and give v.
-2
Express -4882 + 9761 - 4879 + 359*y + 203*y as l + t*y and give t.
562
Express 1459*h - 224*h - 388*h + 1622*h - 3*h as o*h + u and give o.
2466
Express (-11 + 13 + 362*s - 1 + 1)*(-8*s**3 + 0*s**3 - 4*s**3) as g + d*s**2 + m*s**4 + h*s + w*s**3 and give w.
-24
Rearrange -163*p + 1648*p + 76*p + 936*p + 4866*p + 1 to the form j*p + y and give y.
1
Rearrange (n**2 - 10 - 1305*n + 1564*n + 14)*(-2*n**2 + 3*n**2 + 2*n**2) to f*n + t*n**2 + l*n**3 + g*n**4 + b and give g.
3
Express -2762*v**2 + 1828*v**2 + 6 - 1 + 1702*v**2 as c + m*v**2 + s*v and give m.
768
Express -274*a**2 - 1158000*a + 6 + 1158000*a as v*a**2 + y*a + z and give v.
-274
Rearrange -8*c**2 - 2*c**2 + 4*c**2 + (6*c - 2*c - 2*c)*(3839541 - 3839541 + 734*c) to g*c + m*c**2 + k and give m.
1462
Express (-323*c - 391*c - 22*c)*(-6*c**3 + c**3 + 3*c**3) + (c - 5*c + 2*c)*(c**3 - c**3 + c**3) in the form h*c**2 + n + d*c**4 + f*c**3 + m*c and give d.
1470
Rearrange 4858 - 1622 - 1622 - 1297*h**3 - 1618 to the form v*h**3 + n + t*h + q*h**2 and give n.
-4
Rearrange 110*i + 147*i - 458*i**2 + 49*i + 456*i**2 - 77*i to p + a*i + k*i**2 and give k.
-2
Rearrange -904*m + 3965*m + 1003*m + 2988*m - 623*m to j*m + c and give j.
6429
Rearrange z + 1819 - 912 + 0*z - 916 + (z + 3 - 3)*(-2 + 3 + 3) to the form v*z + j and give v.
5
Express -5*j**3 - j + j**4 - 133*j**2 + 4*j**2 + 129*j**2 + 2*j**2 - 15 as o*j**4 + v*j + f + a*j**3 + i*j**2 and give v.
-1
Express (0 + 1 - 2 + (-1 + 0 + 3)*(0 - 1 + 2) + 2 - 4 - 5)*(-8*h - 2*h + 11*h - 60) as s*h + m and give m.
360
Express -41*n**2 - 18*n**3 - 39*n**3 + 41*n**3 in the form a*n**2 + b + z*n**3 + x*n and give a.
-41
Express (298 + 340 + 41)*(0*d + 5*d - 3*d + (1 + 2 - 5)*(4*d + 0*d - d)) as f*d + a and give f.
-2716
Express 11585*o - 11600*o - 2*o**4 + 2*o**2 + o**2 - o**3 in the form q*o**4 + i*o + k*o**3 + u + g*o**2 and give i.
-15
Rearrange -2 + 2255*g**2 - 4633*g**2 - 3*g**4 + 3083*g**2 to n + i*g**3 + z*g**4 + l*g + k*g**2 and give z.
-3
Rearrange 52*i**2 - 159*i**2 + 38*i**2 + 57*i**2 + 132*i to f*i + y*i**2 + h and give y.
-12
Rearrange -80*i**3 + 5630*i**4 - i**2 + 81*i**3 + 56 - 5632*i**4 - 2*i to o*i**4 + a*i**3 + u*i**2 + p + c*i and give c.
-2
Rearrange 38*h - 5*h - h**3 - h**3 + 2*h**4 + 2*h**2 - 24*h - 13 + 6*h to the form g*h + m + b*h**4 + k*h**3 + c*h**2 and give k.
-2
Express -105713*t + 6*t**2 + 105597*t - 2*t**2 in the form f + z*t + u*t**2 and give z.
-116
Rearrange (-2 + 5 - 1)*(-38*l + 9*l - 25*l)*(-155 + 186 + 205 + 80) to b + w*l and give w.
-34128
Express (0*f - 3*f - 2*f)*(25*f - 35*f + 35*f)*(-5 + 99*f + 7 - 2 + 320*f) in the form h*f**3 + r + q*f**2 + i*f and give h.
-52375
Rearrange (-2*s + 4*s - 3*s)*(-2 + 6 - 1)*(2*s - 3*s + 2*s) + 24*s**2 - 187*s + 376*s - 3 - 195*s to h*s + j*s**2 + q and give q.
-3
Rearrange (-3*y + 7 - 7)*(-y - 4*y + 3*y)*(5*y + 7*y - 5*y)*(-7 + 6 - 10) to the form k + d*y**2 + a*y + f*y**3 and give f.
-462
Express (2 - 3 - 1)*(-4557 + 4*c + 1401 + 1854) as d + z*c and give z.
-8
Express 5083113 + 3253*h - 5083113 in the form q + l*h and give l.
3253
Rearrange -21 + 6551*v + 12 + 9 - 39961*v to the form i + t*v and give t.
-33410
Express -223*q + 82*q**2 + 478*q - 4 - 255*q as w + g*q + s*q**2 and give w.
-4
Rearrange (4 - 4*y - 2 + 3*y)*(-8248*y - 3744437 + 3744437 + (-2 + 2 - y)*(1 - 2 - 1)) to j*y**2 + z*y + u and give z.
-16492
Rearrange 212*y + 1586*y + 741*y + 189*y to the form b + r*y and give r.
2728
Rearrange (-2*x**2 - 2*x**2 + 2*x**2)*(2*x**2 - 5*x**2 + 4*x**2) + 13095 + 466*x**4 - 13095 to j*x**4 + n + h*x**3 + i*x**2 + z*x and give j.
464
Express 153*b**3 + 134*b**3 + 63*b**3 - 3*b**4 - 99*b**3 - 7*b + 6*b - b**2 as h*b + l + i*b**2 + p*b**4 + w*b**3 and give w.
251
Express -157 + 14 - 7 - 14 + 21 - 3*d in the form u + f*d and give u.
-143
Express 7 - 33 + 44*t**3 - 37*t**3 - t**2 - 5*t**2 + 5215*t - 5213*t in the form u*t**2 + k*t + y + i*t**3 and give y.
-26
Rearrange -5*t + 302 + 0*t + t**3 + 31*t**4 - 607 - 33*t**4 + 312 - 10*t**2 to the form f*
|
{
"pile_set_name": "DM Mathematics"
}
|
f 6342131?
1783, 3557
List the prime factors of 12365559.
3, 23, 31, 41, 47
List the prime factors of 635784.
2, 3, 59, 449
List the prime factors of 362264.
2, 7, 6469
List the prime factors of 4675360.
2, 5, 29221
What are the prime factors of 314166?
2, 3, 52361
List the prime factors of 11467917.
3, 89, 103, 139
List the prime factors of 1302719.
11, 118429
What are the prime factors of 4117949?
11, 374359
What are the prime factors of 3183657?
3, 53, 20023
What are the prime factors of 2623735?
5, 409, 1283
List the prime factors of 3763254.
2, 3, 11, 19, 3001
What are the prime factors of 1633998?
2, 3, 272333
What are the prime factors of 69646?
2, 97, 359
List the prime factors of 2782682.
2, 7, 47, 4229
What are the prime factors of 330373?
37, 8929
List the prime factors of 3653530.
2, 5, 283, 1291
List the prime factors of 4691309.
7, 19, 5039
List the prime factors of 415974.
2, 3, 13, 5333
List the prime factors of 2583860.
2, 5, 129193
List the prime factors of 569231.
13, 43787
What are the prime factors of 25229?
25229
What are the prime factors of 3593474?
2, 23, 191, 409
List the prime factors of 488384.
2, 13, 587
List the prime factors of 3694466.
2, 1847233
What are the prime factors of 5187142?
2, 17, 152563
What are the prime factors of 3045787?
109, 27943
List the prime factors of 231577.
367, 631
List the prime factors of 36025458.
2, 3, 7, 857749
What are the prime factors of 4007166?
2, 3, 667861
What are the prime factors of 33291784?
2, 167, 24919
List the prime factors of 200282.
2, 239, 419
What are the prime factors of 2201829?
3, 7, 104849
What are the prime factors of 3417748?
2, 17, 50261
What are the prime factors of 1746966?
2, 3, 13, 22397
What are the prime factors of 694265?
5, 11, 13, 971
List the prime factors of 30799939.
149, 421, 491
List the prime factors of 2800151.
1181, 2371
What are the prime factors of 157264?
2, 9829
What are the prime factors of 3512270?
2, 5, 59, 5953
What are the prime factors of 1122857?
1122857
What are the prime factors of 8616918?
2, 3, 19, 131, 577
What are the prime factors of 537648?
2, 3, 23, 487
What are the prime factors of 820857?
3, 19, 14401
List the prime factors of 12862338.
2, 3, 61, 113, 311
What are the prime factors of 3619870?
2, 5, 31, 11677
What are the prime factors of 47662?
2, 23831
What are the prime factors of 336840?
2, 3, 5, 7, 401
What are the prime factors of 369353?
369353
List the prime factors of 59624.
2, 29, 257
List the prime factors of 1114692.
2, 3, 19, 4889
List the prime factors of 1491001.
1491001
What are the prime factors of 1609237?
7, 17, 13523
List the prime factors of 22339503.
3, 827389
What are the prime factors of 501939?
3, 43, 1297
List the prime factors of 164147.
164147
List the prime factors of 294986.
2, 79, 1867
What are the prime factors of 2324472?
2, 3, 23, 4211
What are the prime factors of 1923668?
2, 181, 2657
List the prime factors of 1930303.
59, 32717
List the prime factors of 286086.
2, 3, 47681
What are the prime factors of 2164024?
2, 19, 23, 619
List the prime factors of 1304927.
13, 100379
List the prime factors of 34007155.
5, 7, 13, 31, 2411
What are the prime factors of 674784?
2, 3, 11, 71
List the prime factors of 688240.
2, 5, 7, 1229
What are the prime factors of 31269?
3, 7, 1489
What are the prime factors of 2025083?
103, 19661
What are the prime factors of 1026752?
2, 61, 263
What are the prime factors of 2494726?
2, 13, 229, 419
List the prime factors of 678728.
2, 37, 2293
List the prime factors of 4000854.
2, 3, 11, 13, 4663
List the prime factors of 11923753.
1303, 9151
What are the prime factors of 2929237?
2929237
What are the prime factors of 1933896?
2, 3, 19, 4241
List the prime factors of 39328242.
2, 3, 17, 385571
What are the prime factors of 353738?
2, 7, 11, 2297
What are the prime factors of 978329?
11, 19, 31, 151
What are the prime factors of 2986103?
2986103
List the prime factors of 36733909.
41, 71, 12619
What are the prime factors of 1218486?
2, 3, 31, 6551
What are the prime factors of 12589085?
5, 107, 23531
List the prime factors of 196104.
2, 3, 8171
List the prime factors of 88502.
2, 17, 19, 137
List the prime factors of 29727034.
2, 14863517
List the prime factors of 642920.
2, 5, 16073
List the prime factors of 137258.
2, 11, 17, 367
What are the prime factors of 166069?
71, 2339
What are the prime factors of 1836542?
2, 859, 1069
List the prime factors of 19467235.
5, 61, 83, 769
List the prime factors of 2209375.
5, 7, 101
What are the prime factors of 1370630?
2, 5, 41, 3343
What are the prime factors of 24471944?
2, 7, 436999
What are the prime factors of 2600567?
2600567
List the prime factors of 12458241.
3, 1384249
What are the prime factors of 2562512?
2, 17, 9421
List the prime factors of 33603.
3, 23, 487
What are the prime factors of 12852719?
11, 313, 3733
What are the prime factors of 6426?
2, 3, 7, 17
List the prime factors of 9194696.
2, 7, 164191
What are the prime factors of 8779988?
2, 7, 313571
What are the prime factors of 186023?
186023
What are the prime factors of 5281469?
1123, 4703
What are the prime factors of 260206?
2, 281, 463
List the prime factors of 3183897.
3, 307, 3457
What are the prime factors of 465616?
2, 29101
What are the prime factors of 12158862?
2, 3, 971, 2087
What are the prime factors of 3184?
2, 199
What are the prime factors of 201719?
7, 28817
What are the prime factors of 305377?
305377
List the prime factors of 629313.
3, 209771
List the prime factors of 9239264.
2, 179, 1613
List the prime factors of 413676.
2, 3, 11491
List the prime factors of 12632586.
2, 3, 2105431
What are the prime factors of 7283828?
2, 1820957
What are the prime factors of 2221286?
2, 1110643
What are the prime factors of 8932897?
397, 22501
What are the prime factors of 1459556?
2, 7, 52127
What are the prime factors of 295304?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
here between 1:56 PM and 8:42 PM?
406
What is 693 minutes after 6:18 AM?
5:51 PM
What is 714 minutes after 7:29 PM?
7:23 AM
How many minutes are there between 11:27 AM and 6:36 PM?
429
How many minutes are there between 10:45 PM and 11:44 PM?
59
What is 331 minutes after 1:21 PM?
6:52 PM
What is 421 minutes after 7:33 PM?
2:34 AM
What is 367 minutes after 6:59 PM?
1:06 AM
What is 644 minutes before 9:03 AM?
10:19 PM
How many minutes are there between 11:22 AM and 1:34 PM?
132
What is 424 minutes after 9:48 AM?
4:52 PM
How many minutes are there between 9:07 PM and 6:31 AM?
564
How many minutes are there between 11:02 AM and 6:26 PM?
444
How many minutes are there between 12:18 AM and 8:00 AM?
462
What is 700 minutes before 7:05 PM?
7:25 AM
What is 482 minutes before 6:12 AM?
10:10 PM
How many minutes are there between 4:07 PM and 2:14 AM?
607
What is 584 minutes after 5:50 PM?
3:34 AM
What is 27 minutes after 2:50 AM?
3:17 AM
How many minutes are there between 7:55 PM and 7:07 AM?
672
How many minutes are there between 11:01 PM and 1:25 AM?
144
How many minutes are there between 9:48 AM and 12:03 PM?
135
How many minutes are there between 11:31 PM and 9:43 AM?
612
What is 557 minutes before 10:03 AM?
12:46 AM
How many minutes are there between 12:50 PM and 12:23 AM?
693
How many minutes are there between 8:59 AM and 2:12 PM?
313
How many minutes are there between 11:54 AM and 7:33 PM?
459
What is 51 minutes after 5:18 PM?
6:09 PM
What is 148 minutes before 5:15 PM?
2:47 PM
How many minutes are there between 12:04 PM and 1:03 PM?
59
What is 697 minutes before 2:08 PM?
2:31 AM
What is 664 minutes after 1:02 PM?
12:06 AM
How many minutes are there between 4:30 PM and 1:46 AM?
556
What is 558 minutes before 8:54 PM?
11:36 AM
How many minutes are there between 2:16 AM and 1:45 PM?
689
What is 445 minutes after 1:56 AM?
9:21 AM
What is 454 minutes before 12:15 PM?
4:41 AM
What is 371 minutes before 7:27 AM?
1:16 AM
What is 488 minutes before 10:21 PM?
2:13 PM
How many minutes are there between 9:30 PM and 10:30 PM?
60
How many minutes are there between 4:03 PM and 3:49 AM?
706
What is 685 minutes before 5:45 PM?
6:20 AM
How many minutes are there between 2:52 AM and 3:04 AM?
12
How many minutes are there between 7:28 AM and 10:06 AM?
158
What is 318 minutes before 10:06 AM?
4:48 AM
How many minutes are there between 10:44 PM and 5:30 AM?
406
What is 493 minutes before 5:21 PM?
9:08 AM
What is 197 minutes after 3:10 AM?
6:27 AM
What is 459 minutes before 3:34 AM?
7:55 PM
What is 657 minutes before 7:48 PM?
8:51 AM
What is 560 minutes after 1:32 PM?
10:52 PM
What is 400 minutes after 5:10 AM?
11:50 AM
What is 662 minutes before 6:59 PM?
7:57 AM
How many minutes are there between 11:23 PM and 4:45 AM?
322
How many minutes are there between 11:08 AM and 10:50 PM?
702
What is 246 minutes after 7:55 AM?
12:01 PM
What is 279 minutes before 3:42 PM?
11:03 AM
What is 564 minutes before 9:51 AM?
12:27 AM
What is 298 minutes before 7:16 AM?
2:18 AM
How many minutes are there between 4:44 PM and 2:29 AM?
585
How many minutes are there between 6:30 PM and 11:52 PM?
322
What is 142 minutes after 9:26 AM?
11:48 AM
How many minutes are there between 5:56 PM and 8:28 PM?
152
How many minutes are there between 7:22 PM and 4:25 AM?
543
How many minutes are there between 5:45 AM and 7:29 AM?
104
What is 231 minutes after 5:11 AM?
9:02 AM
How many minutes are there between 6:58 AM and 4:53 PM?
595
How many minutes are there between 9:12 PM and 8:52 AM?
700
How many minutes are there between 10:59 PM and 5:06 AM?
367
What is 165 minutes before 3:21 PM?
12:36 PM
How many minutes are there between 3:53 PM and 6:18 PM?
145
How many minutes are there between 10:20 AM and 4:27 PM?
367
How many minutes are there between 7:55 PM and 2:58 AM?
423
How many minutes are there between 5:13 PM and 12:23 AM?
430
How many minutes are there between 10:48 PM and 12:16 AM?
88
What is 665 minutes after 9:41 PM?
8:46 AM
What is 11 minutes before 7:25 PM?
7:14 PM
How many minutes are there between 8:11 AM and 3:21 PM?
430
How many minutes are there between 5:34 AM and 5:24 PM?
710
How many minutes are there between 11:18 AM and 4:21 PM?
303
What is 320 minutes after 8:21 PM?
1:41 AM
What is 715 minutes before 2:10 PM?
2:15 AM
How many minutes are there between 7:36 AM and 2:03 PM?
387
How many minutes are there between 11:13 PM and 11:32 PM?
19
What is 416 minutes after 6:04 PM?
1:00 AM
What is 526 minutes before 4:23 AM?
7:37 PM
How many minutes are there between 12:38 PM and 12:25 AM?
707
What is 439 minutes before 4:58 AM?
9:39 PM
What is 399 minutes after 1:40 AM?
8:19 AM
How many minutes are there between 5:00 AM and 3:47 PM?
647
How many minutes are there between 9:30 PM and 1:43 AM?
253
How many minutes are there between 3:43 AM and 2:13 PM?
630
How many minutes are there between 12:25 AM and 10:20 AM?
595
What is 491 minutes before 1:12 PM?
5:01 AM
How many minutes are there between 12:42 AM and 4:52 AM?
250
What is 302 minutes before 11:22 PM?
6:20 PM
How many minutes are there between 8:10 PM and 12:40 AM?
270
How many minutes are there between 6:36 AM and 4:00 PM?
564
What is 418 minutes after 11:15 AM?
6:13 PM
How many minutes are there between 5:41 PM and 1:31 AM?
470
What is 647 minutes before 11:43 PM?
12:56 PM
What is 715 minutes after 11:09 PM?
11:04 AM
How many minutes are there between 7:58 AM and 11:56 AM?
238
How many minutes are there between 8:55 PM and 5:06 AM?
491
How many minutes are there between 5:26 AM and 6:48 AM?
82
What is 623 minutes before 3:33 AM?
5:10 PM
What is 444 minutes before 9:04 AM?
1:40 AM
How many minutes are there between 4:42 PM and 11:10 PM?
388
How many minutes are there between 9:22 PM and 10:39 PM?
77
How many minutes are there between 11:54 PM and 6:00 AM?
366
What is 678 minutes after 3:35 PM?
2:53 AM
What is 493 minutes after 10:38 PM?
6:51 AM
How many minutes are there between 7:09 PM and 10:52 PM?
223
What is 589 minutes before 11:18 AM?
1:29 AM
How many minutes are there between 5:44 PM and 8:55 PM?
191
What is 33 minutes before 9:11 PM?
8:38 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
-c*s + x = s for s.
4
Suppose 4 = -4*a + 16. Suppose 2*m = 3*s - 11, 12 = s - 3*m + 4*m. Solve a*n + s = -2 for n.
-3
Let t(o) = 0*o - 12 + o + 2 - 6. Let q be t(10). Let d be q/(-15) - (-23)/5. Solve -d*i = 6 + 9 for i.
-3
Suppose 0*n - 10*n - 3*n = 0. Solve n = 7*u - 5*u + 10 for u.
-5
Let h(w) = w - 6. Let b be h(-2). Let o be (-38)/b - (-6)/(-8). Let n(s) = s**2 + s - 2. Let t be n(-2). Solve v + 1 + o = t for v.
-5
Suppose 4*a + 0 = 32. Solve 2*g - a = -2*g for g.
2
Let b be 5/7 - 8/(-28). Let m be 1 + (-2 - -2) + b. Solve -m*l = l - 3 for l.
1
Let u = 2 + 0. Let c be 15/25 - (-4)/10. Suppose 5 = -2*g + 3*l, -l - u - c = -3*g. Solve -g*d + 4*d + 4 = 0 for d.
-2
Let k = -12 + 18. Let v be 6*3/k + 1. Solve 0 = v*z - 7*z for z.
0
Let q be ((-3)/4)/((-2)/((-80)/(-15))). Suppose -2*a + 7*a - 29 = 2*k, -5*a + 3*k = -31. Let u be (a - 2) + 2/2. Solve -u*h = -q*h + 4 for h.
-2
Suppose -1 + 3 = 4*x - g, 0 = -3*g - 6. Let p(d) = 7 + x + d - 2*d. Let l be p(3). Solve -l = -3*w - w for w.
1
Let w(g) = g - 2 - 3*g + 4*g - g**2 + 0*g**2 + g**3. Let v be w(2). Solve -5*p + v + 4 = 0 for p.
2
Let s be ((-31)/(-2))/(2/4). Let k = s + -15. Solve -3*f = -7*f + k for f.
4
Let z be -4*(-2 - (-2 + 1)). Suppose 3*y - 3*j = 1 - 13, 3*y = -j + z. Solve -3*h + 8 + 4 = y for h.
4
Let m(l) = l + 10. Let s be m(0). Suppose 0 = 3*o - 2 - 13. Suppose 0 = -3*x + o + 7. Solve s = x*d - 2*d for d.
5
Let k(o) = -2*o - 1. Let d be k(-3). Suppose 3 - d = -m. Solve -m = -4*t + 2 for t.
1
Let r = -14 - -17. Solve -2 = r*l + 13 for l.
-5
Suppose 4*z + 0*z = -2*a - 16, 5*z + 25 = 0. Solve 5*k + a = -3 for k.
-1
Let c(l) = -l + 3. Let j be c(-3). Solve -6 = 4*r + j for r.
-3
Let f be 1 - -12 - (0 - -1). Let b(v) = v - 8. Let g be b(f). Solve 0 = 2*p - g - 4 for p.
4
Suppose -2*s = s - 9. Solve s*p + 10 = p for p.
-5
Suppose -57 + 21 = -4*c. Solve -b - c = -4 for b.
-5
Suppose -4*j + 6 = t, -5*j + 3*j - 2 = -2*t. Solve j - 7 = 3*k for k.
-2
Suppose 3*j + 5 = 2*c + 1, -c + j + 3 = 0. Let w(u) = -4 + u**2 + c + 5*u - 5*u. Let v be w(-1). Solve v*b = 3*b - 3 for b.
3
Let h(q) = 0*q + 0*q + 2*q - 3*q + 1 + 4*q**2. Let g be h(1). Solve 0*y - 16 = g*y for y.
-4
Suppose 0*o - 15 = -2*a + 5*o, 2*a - 3*o = 9. Solve -2*g - 3*g + 20 = a for g.
4
Let k(y) = 4*y - 8*y**2 + y**3 + 0*y + 4*y - 3. Let v = -110 + 117. Let n be k(v). Solve -n*o = -0*o - 16 for o.
4
Suppose 0 = h + 3 + 2. Let u(w) = w + 7. Let i be u(h). Suppose 5 = i*a + 3. Solve -y + a = -4 for y.
5
Let i be 2/(-6) + 6/18. Solve 5*t - 6 - 19 = i for t.
5
Suppose -3*p + 20 = p. Solve -2*o - 1 = p for o.
-3
Suppose 0 = -i - 8*i + 27. Solve -i*m = m + 12 for m.
-3
Suppose 6 = -o - 2*n, 3*n - n + 14 = o. Let g be (4/(-6) - 0)*-3. Suppose -g*a - 32 = -o*a. Solve 0 = 3*v + a - 1 for v.
-5
Let s(b) = -b**3 - 10*b**2 - b - 10. Let o be s(-10). Solve -2*p - 1 - 3 = o for p.
-2
Let j be 9/(-15) + (-8)/(-5). Suppose f - 3*c + j = 0, -3*c + 10 = 3*f + c. Solve -f*t - 1 = 3 for t.
-2
Suppose 46 = 4*v + 5*q + 11, -3*q + 34 = 5*v. Let u = -69 - -104. Let o = u + -18. Solve o = v*i - 8 for i.
5
Let k = -77 + 79. Solve 6*g - 8*g - k = 0 for g.
-1
Suppose 2*y - 6 = -0. Suppose 6 = -2*u + 4*c, 0 = -2*u + u - c - y. Let g = 7 + u. Solve f = 3*f + g for f.
-2
Let w(q) = -q**3 + 7*q**2 + 10*q - 11. Let i be w(8). Suppose -4*b = -i - 7. Let v be 2/11 - 212/(-44). Solve -r - v = -b for r.
-2
Let n = 23 - 21. Solve 5 = 3*l + n for l.
1
Suppose 0 = -4*r + k + 17, 3*r = -0*k + 3*k + 15. Let u(g) = -g**2 + 5*g - 2. Let t be u(r). Solve -z - t*z - 15 = 0 for z.
-5
Suppose -4*z - 3 = -5*x, -3 = -5*z - 5*x + 9*x. Solve -2*k = z*k for k.
0
Let r be 4/6 - (-2288)/24. Let x be r/44 - 2/11. Solve -x*j - 5 = 3*j for j.
-1
Let t(p) = -p**2 - 11*p - 5. Let d be t(-10). Suppose d*y + 8 = 9*y. Solve y*a = 6*a for a.
0
Let q be 156/48 + 3/4. Solve -10 = -q*i + 2 for i.
3
Let v be 20*(6/4)/3. Let x(c) = c**2 - 2*c. Let q be x(4). Suppose 3*n = q*n. Solve n = m + 4*m + v for m.
-2
Let o be (-12)/20 - (-1
|
{
"pile_set_name": "DM Mathematics"
}
|
1 AM and 8:45 AM?
354
What is 572 minutes after 9:07 AM?
6:39 PM
How many minutes are there between 10:57 AM and 11:49 AM?
52
What is 204 minutes after 10:22 AM?
1:46 PM
What is 48 minutes before 1:55 PM?
1:07 PM
What is 136 minutes after 2:14 PM?
4:30 PM
What is 237 minutes before 1:46 AM?
9:49 PM
How many minutes are there between 1:22 AM and 2:14 AM?
52
What is 652 minutes before 9:45 AM?
10:53 PM
What is 195 minutes after 8:06 AM?
11:21 AM
How many minutes are there between 8:43 PM and 6:15 AM?
572
How many minutes are there between 7:03 AM and 4:33 PM?
570
How many minutes are there between 9:30 PM and 12:02 AM?
152
How many minutes are there between 3:57 AM and 1:13 PM?
556
How many minutes are there between 2:03 AM and 6:27 AM?
264
How many minutes are there between 8:21 AM and 7:46 PM?
685
How many minutes are there between 11:55 AM and 9:28 PM?
573
How many minutes are there between 7:46 AM and 4:45 PM?
539
How many minutes are there between 5:46 PM and 3:53 AM?
607
What is 173 minutes before 2:52 AM?
11:59 PM
What is 546 minutes before 11:11 AM?
2:05 AM
How many minutes are there between 1:05 PM and 12:02 AM?
657
How many minutes are there between 10:27 PM and 5:25 AM?
418
How many minutes are there between 1:43 PM and 11:40 PM?
597
What is 111 minutes before 8:26 AM?
6:35 AM
What is 127 minutes after 5:16 AM?
7:23 AM
What is 424 minutes after 6:12 AM?
1:16 PM
How many minutes are there between 10:10 AM and 9:57 PM?
707
How many minutes are there between 10:56 AM and 2:00 PM?
184
How many minutes are there between 3:00 AM and 12:20 PM?
560
What is 42 minutes after 12:35 PM?
1:17 PM
What is 156 minutes after 8:50 PM?
11:26 PM
How many minutes are there between 11:45 PM and 11:29 AM?
704
What is 708 minutes after 4:27 PM?
4:15 AM
What is 702 minutes after 12:53 AM?
12:35 PM
How many minutes are there between 2:24 PM and 5:10 PM?
166
What is 366 minutes before 9:42 PM?
3:36 PM
How many minutes are there between 4:22 PM and 10:48 PM?
386
How many minutes are there between 10:15 AM and 7:56 PM?
581
How many minutes are there between 2:33 AM and 4:58 AM?
145
What is 454 minutes before 1:52 PM?
6:18 AM
How many minutes are there between 1:56 PM and 1:03 AM?
667
What is 91 minutes before 1:40 PM?
12:09 PM
How many minutes are there between 8:44 AM and 1:21 PM?
277
What is 454 minutes after 4:52 AM?
12:26 PM
How many minutes are there between 12:05 AM and 3:11 AM?
186
How many minutes are there between 4:37 AM and 11:04 AM?
387
What is 371 minutes before 10:37 PM?
4:26 PM
How many minutes are there between 1:23 AM and 10:07 AM?
524
What is 439 minutes after 12:04 AM?
7:23 AM
How many minutes are there between 12:13 PM and 3:28 PM?
195
How many minutes are there between 6:17 PM and 4:35 AM?
618
How many minutes are there between 3:39 PM and 2:39 AM?
660
How many minutes are there between 2:09 PM and 12:04 AM?
595
How many minutes are there between 10:53 PM and 11:05 PM?
12
How many minutes are there between 12:11 AM and 9:20 AM?
549
How many minutes are there between 3:59 AM and 11:47 AM?
468
How many minutes are there between 5:48 PM and 3:18 AM?
570
What is 313 minutes after 9:53 AM?
3:06 PM
What is 687 minutes before 12:13 PM?
12:46 AM
What is 564 minutes before 8:04 PM?
10:40 AM
What is 391 minutes before 7:57 PM?
1:26 PM
How many minutes are there between 6:14 AM and 1:00 PM?
406
What is 246 minutes after 4:00 AM?
8:06 AM
What is 371 minutes after 2:52 PM?
9:03 PM
What is 255 minutes after 3:32 PM?
7:47 PM
What is 136 minutes before 10:16 PM?
8:00 PM
What is 472 minutes after 3:24 AM?
11:16 AM
How many minutes are there between 8:57 AM and 11:36 AM?
159
How many minutes are there between 3:39 AM and 10:25 AM?
406
How many minutes are there between 10:45 PM and 10:13 AM?
688
How many minutes are there between 2:57 AM and 9:09 AM?
372
What is 587 minutes before 6:02 PM?
8:15 AM
How many minutes are there between 6:01 PM and 9:44 PM?
223
How many minutes are there between 2:48 AM and 11:43 AM?
535
What is 560 minutes after 12:35 PM?
9:55 PM
What is 341 minutes after 11:18 PM?
4:59 AM
How many minutes are there between 4:20 AM and 12:47 PM?
507
What is 317 minutes before 5:15 PM?
11:58 AM
How many minutes are there between 10:44 PM and 6:21 AM?
457
What is 429 minutes after 9:56 PM?
5:05 AM
How many minutes are there between 9:27 AM and 9:10 PM?
703
How many minutes are there between 2:48 AM and 5:05 AM?
137
How many minutes are there between 1:50 AM and 1:23 PM?
693
What is 110 minutes after 12:14 AM?
2:04 AM
What is 202 minutes after 2:45 AM?
6:07 AM
What is 156 minutes after 8:29 AM?
11:05 AM
How many minutes are there between 7:46 PM and 11:37 PM?
231
What is 62 minutes before 1:50 AM?
12:48 AM
How many minutes are there between 11:26 PM and 11:35 PM?
9
What is 249 minutes after 3:03 PM?
7:12 PM
What is 324 minutes before 6:19 PM?
12:55 PM
How many minutes are there between 4:29 AM and 5:09 AM?
40
What is 207 minutes after 11:24 PM?
2:51 AM
How many minutes are there between 9:33 PM and 9:20 AM?
707
What is 547 minutes after 10:02 PM?
7:09 AM
What is 160 minutes before 8:23 PM?
5:43 PM
What is 402 minutes before 3:41 AM?
8:59 PM
How many minutes are there between 11:04 AM and 3:28 PM?
264
What is 38 minutes after 6:45 AM?
7:23 AM
What is 63 minutes after 5:04 PM?
6:07 PM
What is 419 minutes after 9:51 PM?
4:50 AM
What is 344 minutes before 9:16 PM?
3:32 PM
How many minutes are there between 11:41 PM and 5:54 AM?
373
What is 663 minutes after 11:04 AM?
10:07 PM
How many minutes are there between 9:45 PM and 4:43 AM?
418
How many minutes are there between 12:25 PM and 2:06 PM?
101
What is 345 minutes before 2:05 AM?
8:20 PM
What is 631 minutes after 12:08 AM?
10:39 AM
How many minutes are there between 6:30 AM and 10:44 AM?
254
What is 504 minutes before 4:43 AM?
8:19 PM
What is 121 minutes after 8:52 AM?
10:53 AM
How many minutes are there between 2:24 PM and 9:14 PM?
410
What is 687 minutes before 3:33 AM?
4:06 PM
How many minutes are there between 9:53 PM and 8:17 AM?
624
What is 669 minutes before 6:31 PM?
7:22 AM
How many minutes are there between 8:14 PM and 3:15
|
{
"pile_set_name": "DM Mathematics"
}
|
9) to base 15
-36
Convert 40 (base 7) to base 14.
20
6 (base 14) to base 5
11
Convert 146 (base 7) to base 16.
53
2 (base 7) to base 16
2
What is 38 (base 10) in base 4?
212
Convert c (base 13) to base 16.
c
-42 (base 13) to base 14
-3c
Convert -6 (base 16) to base 12.
-6
-1 (base 15) to base 11
-1
-16 (base 12) to base 11
-17
Convert -3 (base 15) to base 7.
-3
Convert 4d (base 14) to base 5.
234
Convert -2 (base 5) to base 12.
-2
What is -1000100 (base 2) in base 13?
-53
6 (base 8) to base 15
6
2 (base 12) to base 8
2
Convert 64 (base 8) to base 2.
110100
What is -44 (base 6) in base 12?
-24
Convert 2 (base 8) to base 11.
2
Convert -302 (base 5) to base 8.
-115
-65 (base 15) to base 8
-137
What is 4 (base 13) in base 14?
4
What is -9 (base 13) in base 8?
-11
Convert 0 (base 5) to base 8.
0
Convert -6 (base 8) to base 10.
-6
What is 26 (base 13) in base 6?
52
Convert -14b (base 14) to base 2.
-100000111
Convert -121 (base 4) to base 7.
-34
What is -10111 (base 2) in base 15?
-18
4a (base 13) to base 16
3e
3 (base 5) to base 11
3
Convert 343 (base 5) to base 15.
68
Convert 34 (base 14) to base 10.
46
5 (base 13) to base 6
5
What is 0 (base 8) in base 13?
0
Convert -1201 (base 4) to base 12.
-81
4 (base 7) to base 9
4
1 (base 2) to base 4
1
Convert 11 (base 5) to base 16.
6
114 (base 5) to base 6
54
What is -145 (base 10) in base 11?
-122
What is 10111101 (base 2) in base 10?
189
What is 20 (base 9) in base 4?
102
Convert 28 (base 9) to base 12.
22
Convert -100010 (base 2) to base 16.
-22
Convert 14 (base 7) to base 11.
10
-40 (base 7) to base 10
-28
-101 (base 3) to base 6
-14
What is 22 (base 4) in base 5?
20
-44 (base 7) to base 4
-200
2 (base 16) to base 15
2
Convert -6 (base 10) to base 15.
-6
37 (base 15) to base 6
124
Convert 1211 (base 3) to base 7.
100
Convert 60 (base 12) to base 14.
52
Convert -253 (base 11) to base 15.
-150
Convert 2 (base 4) to base 6.
2
What is -333 (base 4) in base 5?
-223
Convert 330 (base 4) to base 13.
48
-121 (base 8) to base 16
-51
-6 (base 9) to base 16
-6
-30 (base 6) to base 2
-10010
Convert 101110 (base 2) to base 7.
64
Convert 4 (base 10) to base 14.
4
16 (base 15) to base 12
19
Convert 3e (base 15) to base 13.
47
What is 3 (base 14) in base 4?
3
Convert 116 (base 11) to base 3.
12010
What is a (base 13) in base 5?
20
What is -12 (base 3) in base 7?
-5
10 (base 5) to base 13
5
What is -25 (base 8) in base 7?
-30
What is -10 (base 2) in base 11?
-2
What is 17 (base 14) in base 3?
210
What is 103 (base 10) in base 14?
75
Convert -175 (base 10) to base 7.
-340
-2 (base 12) to base 16
-2
What is -8 (base 9) in base 11?
-8
2 (base 7) to base 8
2
Convert 110 (base 2) to base 16.
6
What is -4 (base 7) in base 2?
-100
What is 12 (base 10) in base 12?
10
Convert 132 (base 5) to base 3.
1120
What is -6 (base 13) in base 15?
-6
What is -c8 (base 14) in base 6?
-452
What is 5c (base 16) in base 5?
332
What is 1100 (base 2) in base 3?
110
Convert -c (base 14) to base 13.
-c
Convert 120 (base 3) to base 16.
f
-11 (base 3) to base 2
-100
Convert 210 (base 3) to base 8.
25
Convert 23 (base 9) to base 10.
21
What is 2002 (base 3) in base 8?
70
What is -43 (base 7) in base 13?
-25
Convert -1 (base 2) to base 10.
-1
411 (base 7) to base 8
314
Convert -1 (base 7) to base 4.
-1
Convert -1 (base 7) to base 13.
-1
Convert -124 (base 12) to base 3.
-20101
Convert -2 (base 3) to base 12.
-2
What is 115 (base 11) in base 6?
345
Convert 32 (base 13) to base 3.
1112
-11 (base 12) to base 14
-d
Convert 216 (base 8) to base 3.
12021
What is -3 (base 11) in base 6?
-3
-74 (base 9) to base 5
-232
What is 122 (base 3) in base 8?
21
Convert -25 (base 14) to base 6.
-53
What is 6 (base 7) in base 8?
6
What is 4 (base 14) in base 7?
4
What is -8 (base 14) in base 13?
-8
7 (base 8) to base 9
7
Convert 21 (base 7) to base 12.
13
11 (base 5) to base 7
6
Convert -25 (base 6) to base 14.
-13
What is -3 (base 15) in base 2?
-11
30 (base 4) to base 14
c
What is 2 (base 11) in base 7?
2
What is 23 (base 9) in base 15?
16
Convert 40 (base 16) to base 7.
121
-123 (base 8) to base 3
-10002
What is 28 (base 16) in base 13?
31
-131 (base 9) to base 16
-6d
What is 5 (base 13) in base 10?
5
-160 (base 11) to base 13
-115
0 (base 6) to base 5
0
What is 116 (base 16) in base 8?
426
Convert 10 (base 13) to base 3.
111
Convert -1 (base 3) to base 11.
-1
What is 1 (base 12) in base 10?
1
What is 120 (base 3) in base 7?
21
4 (base 10) to base 7
4
Convert -1022 (base 4) to base 7.
-134
-140 (base 8) to base 4
-1200
85 (base 9) to base 3
2212
What is 4 (base 14) in base 2?
100
162 (base 11) to base 13
117
What is d0 (base 15) in base 5?
1240
-2 (base 11) to base 2
-10
Convert 15 (base 9) to base 14.
10
What is -1000 (base 3) in base 16?
-1b
Convert 0 (base 15) to base 5.
0
Convert 30 (base 4) to base 13.
c
Convert 3 (base 13) to base 10.
3
0 (base 10) to base 14
0
Convert -100011 (base 2) to base 3.
-1022
Convert -16 (base 9) to base 12.
-13
Convert 1132 (base 4) to base 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
for i.
3
Let g(j) = j**2 + 1 - 2*j**2 - 3*j**2 - 2*j**3 + 5*j**2 + 2*j. Let c be 1/1*(-3)/(-3)*-1. Let v be g(c). Solve 12 = -v*y + 2 for y.
-5
Let n(i) = -i**2 + 3*i + 28. Let v be n(6). Suppose s + 0*s = -t + 4, 0 = 5*t + 10. Solve -v = -b + s*b for b.
-2
Suppose -4*f + 8 = 5*d, -2*f + f = d - 3. Suppose -f*c = -0 - 14. Solve c*x = x for x.
0
Suppose 0 = -5*j - 5*u + 35, -u = 2*j + 4 - 15. Solve -3*v - 1 = -j for v.
1
Let s be 6 + (1 - -1 - 3). Let x = -92 + 95. Let q be 19 + 0 + 3/x. Solve s*g + 0*g + q = 0 for g.
-4
Let x(o) = 9*o - 2. Let j be x(3). Let k = j - 22. Suppose k*b + 4 = 4*b. Solve b*c = c for c.
0
Let p = -1043 + 1047. Let n(w) = -w**3 + 2*w**2 + 4*w - 3. Let o be n(3). Solve o = 3*m - p + 1 for m.
1
Suppose 12 + 9 = 5*c + 2*u, -5*u - 10 = 0. Suppose -c*k + 42 = 22. Let q be -2*((-9)/1 + k). Solve q = -4*t - 10 for t.
-5
Let s = -7 + 57. Suppose 0 = -8*g + 18*g - s. Solve -g*l + 1 = -4 for l.
1
Suppose -2*c = -c + 4*f - 10, -3*f = 2*c - 5. Let a = 7 + c. Solve 17 + 3 = a*k for k.
4
Let j(o) = -24*o - 99. Let y be j(-10). Solve -4*t + y - 161 = 0 for t.
-5
Let k(x) = -x**2 + 20*x + 228. Let p be k(28). Let u = 2 + -2. Solve p*o + 14 + 2 = u for o.
-4
Suppose -25 = -50*f + 45*f. Solve -b + f = 2 for b.
3
Let m = 513 + -502. Solve -6*l = -m*l + 10 for l.
2
Suppose 2 = 4*d - 4*q - 6, 4*d + 2*q - 8 = 0. Suppose -5*o = 0, d*f - 5*o - 5 = 1. Solve f*u - 4 = 2 for u.
2
Let h be 2*(-70)/20 + 35. Solve 3*y - 13 = -h for y.
-5
Suppose 0 = -a - 4*a. Suppose a = -5*w - w + 6. Solve -5*r + w + 9 = 0 for r.
2
Let t(k) = -k**2 - 5*k - 3. Let h = 35 - 38. Let s be t(h). Solve -2 - s = -y for y.
5
Suppose 0 = -3*s - 0*s + 57. Let g = -13 + s. Solve -v = -g*v for v.
0
Let f be -1 + 5 + (12 - 13). Solve 3*d = 4*d - f for d.
3
Let t be (3/1)/(96/352). Solve -7*h = -4 + t for h.
-1
Let p = -20 - -22. Suppose 18 = 3*r + p*l, -2*r + l - 3*l + 10 = 0. Let t = -18 + 21. Solve 5*h = r - t for h.
1
Suppose -3*o + 11 = -1. Suppose 2*l = -o*l + 12. Suppose -11 = -l*z - 7. Solve -2*w = -3*w + z for w.
2
Let u = 1032 + -1017. Solve 0*h + 3*h + u = 0 for h.
-5
Let t be 11/22 - (-15)/(-2). Suppose 0 = -3*j + 4*z - 35, -2*z - 2 + 12 = 0. Let q = j - t. Solve -f = 1 - q for f.
1
Let s be 146/10 - 2/(-5). Suppose 4*k - 79 = 5*p - 29, -2*p - 5*k = 20. Let z = p + s. Solve 0 = -z*i + i + 8 for i.
2
Suppose -13*t + 159 - 3 = 0. Solve 2*n + t = 8*n for n.
2
Suppose -5*f + 2*l - 32 = -12, 5 = -5*f - l. Let w(c) = 22*c - 7*c - 21*c - 2. Let p be w(f). Solve r = -4*r - p for r.
-2
Suppose 30 = 5*g + 5*j, g - 5*j - 1 = 5. Suppose -3*f - 5*a - 12 = 0, -a - 3*a - 8 = 4*f. Let x be (-2 - 0) + (12 - f). Solve -g = -3*p + x for p.
5
Let y(j) = -5*j - 21. Let h be y(-10). Solve 29 = -2*a + h for a.
0
Let m be 6912/312 - ((-15)/(-13) - 1). Solve m*x - 27*x = 5 for x.
-1
Let l(m) = -m**2 + 5*m - 5. Let b be l(4). Let d = b + 5. Let k(j) = j + 2. Let c be k(d). Solve 3*f = -0*f + c for f.
2
Let x(u) = -u**2 + 14*u + 4. Let l be x(13). Let w = -13 + l. Solve -3*p + 4*p + w = 0 for p.
-4
Suppose -6 + 50 = 4*z + n, -z = -n - 6. Solve -2 = 4*h - z for h.
2
Let q = -44 - -75. Suppose s = -24 + 5. Let r = s + q. Solve u + 3*u + r = 0 for u.
-3
Let g = 103 - 73. Let p = g - 41. Let j be p/33 + 22/3. Solve -j = -2*v + 3 for v.
5
Suppose -5*d + 8 = -2*i, 1 + 3 = d - i. Let q(p) = 19*p - 150. Let t be q(8). Solve -t*j = -d*j for j.
0
Let q = -20 - -20. Suppose 9*w - 8*w = q. Solve -4*v + 6 + 2 = w for v.
2
Let j(f) = f**3 + 5*f**2 - 7*f - 9. Let i be j(-6). Let a = i + 9. Suppose -2*k = k - 3. Solve o - k + a = 0 for o.
-5
Let p be (4 + -3)*216/(-6). Let h = 40 + p. Solve 0 = h*g + 7 + 5 for g.
-3
Let u(o) = -2*o**2 - 5*o + 3. Let p be u(0). Solve -p*q + 5*q = 6 for q.
3
Let v = -9116 - -9121. Suppose -l - y + 13 = 0, 0 = -5*l - y + 5*y + 56. Solve v*t = t + l for t.
3
Let q be (-11 - -39)/(1/(-2)). Let h be (-5)/2*q/35. Suppose o + h*o = 0. Solve -4*n + o*n = -16 for n.
4
Let z(y) = y**3 + 2*y**2 + 3*y + 2. Let a be z(-1). Solve a = 3*b - 2*b for b.
0
Let s be
|
{
"pile_set_name": "DM Mathematics"
}
|
- -1*6 and n.
10
Let i(a) = 5*a + 7. Let z be i(-2). Let g be (-47)/15 - z - 2473791/(-720). Let c = 3439 - g. What is the common denominator of -65/2 and c?
16
Let g = -35 + 30. Let v = -7 - g. Calculate the least common multiple of v*11*(-4)/8 and 1.
11
Suppose 10978*u = 10974*u + 2364. Calculate the lowest common multiple of u and 153.
30141
Let b = 173 + -120. Let g = b + -23. Calculate the common denominator of 75/4 and 0 + (-123)/g - 3.
20
Suppose -6516 = -282*w + 5249 + 13615. Calculate the smallest common multiple of 700 and w.
6300
What is the lowest common multiple of 479 and (3*632/2 - -3) + -10 + 17?
958
Suppose 0 = -6*j - 4347 - 2877. Let q = 4171 + -425477/102. What is the common denominator of q and (4/(-28))/(40/j)?
510
Suppose 19811 - 115409 = -9*k. What is the least common multiple of k and 2?
10622
Let f = -160663627/396 - -405716. Find the common denominator of 19/828 and f.
9108
Let k = 1513 - 1507. Suppose -3*t - 14 = -2*t. Calculate the lowest common multiple of (2 - t/(-6))*-42 and k.
42
Let v = -3/4694 - 204165/37552. Let s be (1*-1 - 0) + 285/105. Let f = s + -3/14. Find the common denominator of v and f.
16
What is the common denominator of -81/56 and (-34995)/(-8680) - ((-1)/1)/((-17)/68)?
1736
Let s = 1197/11 - 74597/693. Calculate the common denominator of -83/294 and s.
882
Find the common denominator of 107/2145 and (-16)/(178464/91) - 0.
4290
Let d = -142 - -139. What is the common denominator of (-111)/(-16)*(-10)/(-135)*-3 and (1 - (-91)/(-96))*d?
96
Let k = 140 + -137. Suppose -k*r + l + 45 = -56, -4*l - 98 = -3*r. Let m = -6 + 16. What is the lowest common multiple of m and r?
170
Suppose -h + 11 = -13. What is the lowest common multiple of 263/29 + 32/(-464) and h?
72
Let v = -136977709/525 - -260910. What is the common denominator of -191/1050 and v?
1050
Calculate the common denominator of 36/5 and (-4)/22 + 8528/31416.
1785
Suppose -8*c = -13*c + 615. What is the lowest common multiple of c and 6?
246
Suppose 569 = 5*j - 4*p, 3*j + 18*p = 14*p + 367. Let q = 302 - 159. What is the smallest common multiple of q and j?
1287
Let a = -41912/11 + 3809. Find the common denominator of a and 29/705.
7755
Calculate the lowest common multiple of (-60)/6 - -5 - (-4 - (0 - -309)) and 176.
1232
Let s = -16361 + 17538. What is the lowest common multiple of s and 44?
4708
Let k = 15258 + -15038. What is the smallest common multiple of 200 and k?
2200
What is the lowest common multiple of 11 and (44642/(-78))/(((-2)/(-9))/((-16)/24))?
18887
What is the lowest common multiple of 36/(15 + 1053/(-72)) and 96?
96
Let c = 86 - 83. Suppose 83 = c*z + 5*y, 0 = y + y - 8. Let l = 41 - z. What is the smallest common multiple of 8 and l?
40
Let m = -40851/106426288 - 3/19169. Find the common denominator of m and 51/11.
61072
Let z(q) = 10*q**3 - 2*q**2 + 5*q - 8. Let o be z(2). What is the common denominator of o/(-16) + 165/20 + -8 and 2 - (112/9 + -2)?
72
Let k be (-12)/3*13/(-104)*4. Suppose 3*b - 3 = 0, -11 = -k*f + 3*b + 6. What is the smallest common multiple of f and 40?
40
Find the common denominator of 53/45 and (-1417)/(-11445)*33/16.
5040
Suppose -36*h = -19*h + 6477. Let i = -319 - h. Calculate the least common multiple of 18 and i.
558
Suppose -3*h - 5*l = -39, 44*h - l = 47*h - 27. Suppose -5*n = -g + 12, 0 = -3*g - 2*n + 44 - h. Calculate the smallest common multiple of g and 24.
24
Suppose -u + 4*f = 2*u - 138, 5*u = 3*f + 219. What is the lowest common multiple of 81 and u/10 + 2/(-10)*6?
81
Let a = -9641/570 + 265/19. Let b = -14814 + 814716/55. Calculate the common denominator of b and a.
330
Let h(x) = 8*x**3 + 2*x**2 - 8*x + 7. Suppose 0 = -29*i + 26*i + 6. Calculate the least common multiple of 15 and h(i).
315
Suppose -268 = 6*a - 1468. Let j = -715125/92 + 7773. Calculate the common denominator of -5*((-158)/a - (-150)/200) and j.
460
Let k(d) = -d**2 + 5*d - 2. Let u be k(5). Calculate the common denominator of (-60)/45*54/(-4) and u/(-6) + 590/(-24).
4
Suppose 0 = -31*m + 7934 + 2699. Suppose -m - 125 = -6*y. What is the lowest common multiple of y and 16?
624
Calculate the common denominator of (2360/(-144))/(-1)*-3*1/(-3050) and 145/2928.
14640
Suppose -2*m + 3*m - 8 = 0. Let l be ((45/6)/(-3))/((-3)/6). Suppose -122 = -13*j - l. What is the smallest common multiple of m and j?
72
Suppose 3823 = -11*y + 3900. Calculate the lowest common multiple of y and 86.
602
Suppose 4*v - 3*v + 3*q - 22 = 0, -5*v = 4*q - 55. Let j be 1 - ((-2)/v - 38/14). Suppose 80 = r + j*r. What is the least common multiple of 32 and r?
32
What is the common denominator of 1176/107660*((-1)/(-2) - -2) and -41/6?
4614
Let s be (-9 - 686/(-70))*10/31244. Let r = s + -226603/328062. Find the common denominator of r and 49.
42
Suppose -3*m - 4*t + 1370 = 0, -127*m + 129*m - 908 = -4*t. Calculate the lowest common multiple of 132 and m.
924
Let i = -1/1733 - -46801/17330. Let p be (-1196)/10 - (1 - (-9)/(-15)). Calculate the common denominator of 2416/p + 2/(-10) and i.
30
Let m(k) = -7*k**2 + 0 + 12*k + k**3 - 5 - 3*k. Let y(u) = 19*u - 524. Calculate the lowest common multiple of y(28) and m(6).
104
What is the common denominator of 45/133 and ((-104)/(-12) - (-9 - -11))/((-133)/(-6))?
133
Let b(m) = -m**3 - 16*m**2 - 8*m - 49. Let o be b(-16). Suppose 4*c - 86 = -k, 2*k - 74*c + o*c - 166 = 0. Calculate the smallest common multiple of k and 104.
312
Let l = 202984 - 202867. Suppose r + 4*r = 195. Calculate the smallest common multiple of r and l.
|
{
"pile_set_name": "DM Mathematics"
}
|
= -23 - -9. Let i(a) = 138*a**3 - a**2 + a - 1. Let j be i(1). Let u = j - w. What is the units digit of u?
1
Let m(j) = -j + 6. Let a = -23 + 34. Let b be m(a). Let o(d) = -d**2 - 6*d + 1. What is the units digit of o(b)?
6
Let i = -22 - -30. Suppose j + 5*l + i = 0, -4 = -2*j + 2*l + 4. Suppose 2*w - 54 = -j*k, 0*k + 3*w + 44 = 2*k. What is the tens digit of k?
2
Let n = 14326 + 7066. What is the ten thousands digit of n?
2
Let g(u) = -50*u + 1. Let t be g(-5). Let h be (-116)/3*-9 + 0 + 7. Let o = h - t. What is the units digit of o?
4
Let r(f) = -52*f**2 - 88*f - 34. Let u(k) = -26*k**2 - 45*k - 17. Let d(h) = -3*r(h) + 5*u(h). What is the thousands digit of d(-7)?
1
Suppose -2*y - 42 - 8 = 0. Let v = 29 + y. Suppose 4*p - 158 = w, 7*p - v*w = 4*p + 125. What is the tens digit of p?
3
Let c be (82110/(-12))/(-17)*4/5. Suppose -l + c + 239 = 0. What is the hundreds digit of l?
5
What is the hundreds digit of -6*5/4*-8*71776/128?
6
Suppose 54*d = 172136 + 435148. What is the thousands digit of d?
1
Let k(n) = 45*n**3 + n**2 + 2*n - 2. Let y = 6 - 5. Let q be k(y). Suppose 0 = 38*o - q*o + 1432. What is the hundreds digit of o?
1
Suppose -331873 + 14317 = -132*q + 1084152. What is the hundreds digit of q?
6
Let u = 16 - 16. Let d be 5*12/20 + u. Suppose h - 2*p = 49, p + p + 167 = d*h. What is the tens digit of h?
5
What is the hundreds digit of 105/126 + 24268/24?
0
Let l(i) = i**2 + 22*i - 21. Let q be l(-16). Let u = -78 - q. What is the units digit of u?
9
Let k(r) = -r**3 + 3*r**2 + 3*r - 3. Suppose -3*b + 17 = -10. Let i be (-2)/((-42)/b + 4). What is the units digit of k(i)?
6
Let t = -8210 - -20407. What is the units digit of t?
7
Let m(l) = 44*l + 70. Suppose -6*i - 48 = -18*i. What is the units digit of m(i)?
6
Let a(j) = -1938*j - 3647. What is the hundreds digit of a(-8)?
8
Let k(h) = -25*h**2 + 2089*h - 178. What is the hundreds digit of k(57)?
6
Let i(b) = -57*b - 17. Let g be ((-6)/4)/(7 - (-65)/(-10)). What is the hundreds digit of i(g)?
1
Let d(u) = -31*u**2 - 3*u - 2. Let i be d(-1). What is the units digit of 4/((-8)/(-10))*(-2532)/i?
2
Suppose -a - 2*m = 2, 7 + 10 = -5*a - 3*m. What is the tens digit of -5 - 1200/(-32)*a/(-1)?
4
Let d(l) = -6*l + 1. Suppose -4*r + 16 = 4*a, -4*a + 1 + 19 = 0. Let h be d(r). Let y(j) = 3*j**2 - j - 17. What is the hundreds digit of y(h)?
1
Let b be 245 - -2 - (60/(-5))/(-3). Let o = b + -83. What is the tens digit of o?
6
Let k(a) = 17*a + 67. Let m be k(-6). What is the hundreds digit of 4/(-10) + (-1 - 31339/m)?
8
Suppose 8*g = -544 + 1824. Suppose 862 = 6*q + g. What is the tens digit of q?
1
Suppose 0 = -5*q + 4*m - 21 - 79, q = 2*m - 20. Let x(o) = -o**2 - 21*o - 18. Let z be x(q). Suppose -2*v = z*n - 158, 1 = v + 5. What is the tens digit of n?
8
What is the thousands digit of (-44682)/(-2) - (-6 + (19 - 7))?
2
Let y be (46/(-115))/((-2)/10). Let n be 70/20 - (-1)/y. Suppose -32 = -2*z + n*k + 138, -2*k = 6. What is the tens digit of z?
7
Suppose -d + 3 = 4*g - 4, -g = -2*d + 5. What is the tens digit of d*(2/4*62 + -4)?
8
Let d = 18052 + -7733. What is the tens digit of d?
1
Let m(q) be the third derivative of q**4/24 + 11*q**3/2 - 7*q**2. Let b be m(-14). Let i = b - -41. What is the units digit of i?
0
Let v(o) = -9*o - 1. Let g be v(3). Suppose x = 2*h + 2, h - 6 = 3*h. What is the tens digit of (-321)/x + (-21)/g?
8
Let c = -1383 - -3042. Suppose -5*i + 4*k - 1504 = -4301, 0 = -3*i - 4*k + c. What is the hundreds digit of i?
5
Suppose 0 = 340*z + 26*z - 7861680. What is the hundreds digit of z?
4
Let y(a) = 317*a + 74. Let o be y(2). What is the hundreds digit of 7/1 - (-51 - o)?
7
Let n = 3954 + -2776. Suppose -4*a + n = 2*b - 4*b, -a + b + 296 = 0. Suppose -7*t = 20 - a. What is the units digit of t?
9
Let p(b) = -10*b**2 - 26*b + 34. Let x(y) = 7*y**2 + 17*y - 23. Let q(c) = -5*p(c) - 7*x(c). What is the units digit of q(-22)?
3
Suppose 36101 = 12*m - 45319. Suppose 42*r - 47*r = -m. What is the units digit of r?
7
Let r(p) = 3*p + 9. Let f(i) = 1. Let l(g) = -10*f(g) - 2*r(g). Let j be l(-5). Suppose -j*v - 2*v + 256 = -5*b, -3*b + 150 = 2*v. What is the tens digit of v?
6
Let v = -1214 - -3948. What is the hundreds digit of v?
7
Let r = -209 - -376. Let i = r + 2. What is the hundreds digit of i?
1
Suppose 0 = 598*t - 893467 - 173365. What is the tens digit of t?
8
Let t be (-314)/13 - (-34)/221. What is the tens digit of (16/t)/(2/(-1227))?
0
Suppose -v - 39 = -2*m, 0 = -5*m + 4*v - 2*v + 99. Let t(j) = 20*j + 103. What is the hundreds digit of t(m)?
5
Suppose 3*i + 14 = 17. What is the hundreds digit of 413 + 17 + 2/(-2) + i?
4
Let k(m) = 29*m**2 + 7*m + 16 + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
: 2, r: 8, v: 5}?
8/1365
Calculate prob of sequence cn when two letters picked without replacement from ccnnnccccccccccc.
13/80
Four letters picked without replacement from wgwwggnnwnyngnwgw. What is prob of sequence wyww?
1/476
Two letters picked without replacement from xaaaaaxaaaaaaaaaaaa. Give prob of sequence ax.
17/171
Calculate prob of sequence tik when three letters picked without replacement from ctiiiikiikc.
2/165
Calculate prob of sequence er when two letters picked without replacement from {y: 2, f: 1, e: 2, r: 1, i: 2}.
1/28
Two letters picked without replacement from {q: 2, i: 1}. What is prob of sequence qi?
1/3
Two letters picked without replacement from qqlilooleloqoqo. What is prob of sequence li?
2/105
Three letters picked without replacement from ggrbrrrrrbrrbrigbr. What is prob of sequence igg?
1/816
Two letters picked without replacement from {b: 3, a: 4, d: 1, i: 2, f: 3, o: 4}. What is prob of sequence do?
1/68
Calculate prob of sequence ccc when three letters picked without replacement from ccyccvvaycyc.
1/11
Calculate prob of sequence fo when two letters picked without replacement from {f: 1, k: 1, o: 2, y: 2}.
1/15
Two letters picked without replacement from dycmbcyyyodc. What is prob of sequence mb?
1/132
What is prob of sequence fqfv when four letters picked without replacement from qftffffffffvftf?
11/3276
Three letters picked without replacement from {l: 2, a: 3}. Give prob of sequence aaa.
1/10
Three letters picked without replacement from {g: 8, v: 2, o: 4, r: 5}. What is prob of sequence oro?
10/969
What is prob of sequence gjq when three letters picked without replacement from jeehehhhhheeeegeheqe?
1/6840
What is prob of sequence go when two letters picked without replacement from {o: 12, t: 3, g: 3}?
2/17
Four letters picked without replacement from esvzssvsesrvezsztzv. Give prob of sequence ztes.
1/1292
Four letters picked without replacement from hffzhffh. What is prob of sequence zhfh?
1/70
Calculate prob of sequence gggg when four letters picked without replacement from {g: 6}.
1
Four letters picked without replacement from {j: 2, b: 2}. Give prob of sequence jbjb.
1/6
What is prob of sequence tt when two letters picked without replacement from ttttt?
1
Calculate prob of sequence vlls when four letters picked without replacement from sllvlsvvvll.
2/99
Three letters picked without replacement from {w: 6, g: 1, z: 3, o: 6, q: 1}. Give prob of sequence oog.
1/136
Three letters picked without replacement from qbb. What is prob of sequence qbb?
1/3
Two letters picked without replacement from {a: 2, q: 3, x: 2, i: 4, n: 3, m: 2}. Give prob of sequence ii.
1/20
Three letters picked without replacement from bzbbbbbbzzb. Give prob of sequence zbb.
28/165
What is prob of sequence tt when two letters picked without replacement from tjjathuujj?
1/45
Two letters picked without replacement from {k: 1, i: 2, l: 3, u: 1, a: 1, d: 3}. What is prob of sequence kl?
3/110
Calculate prob of sequence krr when three letters picked without replacement from krrr.
1/4
What is prob of sequence mv when two letters picked without replacement from {x: 6, b: 1, z: 2, v: 2, m: 3}?
3/91
What is prob of sequence em when two letters picked without replacement from {m: 12, e: 1}?
1/13
Two letters picked without replacement from {b: 2, e: 10, m: 1, t: 1, j: 3}. What is prob of sequence mj?
3/272
Four letters picked without replacement from tmmmtmsmmttyemstm. What is prob of sequence mmmm?
1/34
What is prob of sequence fs when two letters picked without replacement from {f: 2, s: 4}?
4/15
What is prob of sequence ii when two letters picked without replacement from ediiijdjoi?
2/15
Calculate prob of sequence vvt when three letters picked without replacement from vtttvtvhttv.
4/55
What is prob of sequence zwv when three letters picked without replacement from {a: 2, w: 5, v: 1, z: 1, s: 5, l: 5}?
5/5814
Calculate prob of sequence ncw when three letters picked without replacement from {l: 2, w: 1, j: 1, n: 1, k: 8, c: 2}.
1/1365
Calculate prob of sequence ug when two letters picked without replacement from ggggggguuug.
12/55
What is prob of sequence lggg when four letters picked without replacement from gglgglgg?
1/7
Calculate prob of sequence ve when two letters picked without replacement from cxyewceycevxewycccyv.
2/95
Three letters picked without replacement from {m: 1, e: 1, d: 1, j: 1, v: 1}. Give prob of sequence vej.
1/60
Two letters picked without replacement from {m: 2, u: 1, v: 5, t: 7, w: 3}. Give prob of sequence uw.
1/102
Two letters picked without replacement from taakkktbahhaxkattah. What is prob of sequence ba?
1/57
Two letters picked without replacement from {p: 3, j: 2, g: 4}. What is prob of sequence gp?
1/6
Calculate prob of sequence bgg when three letters picked without replacement from gbbbgbbbbb.
1/45
Three letters picked without replacement from igiiiiiigiiggg. What is prob of sequence gii?
15/91
What is prob of sequence bb when two letters picked without replacement from qqbbq?
1/10
Two letters picked without replacement from ooojgooogss. Give prob of sequence oo.
3/11
What is prob of sequence wfw when three letters picked without replacement from {f: 7, w: 3}?
7/120
What is prob of sequence yyy when three letters picked without replacement from ysyy?
1/4
Two letters picked without replacement from xuuruirxuiuuuxxxixx. What is prob of sequence uu?
7/57
Four letters picked without replacement from {d: 9, m: 2}. Give prob of sequence mddd.
7/55
Three letters picked without replacement from tlxxlxmztclz. What is prob of sequence ttl?
1/220
Four letters picked without replacement from {h: 11, z: 1, d: 2}. What is prob of sequence dhzh?
5/546
Four letters picked without replacement from {q: 3, v: 5, z: 1}. Give prob of sequence qvvq.
5/126
Calculate prob of sequence vv when two letters picked without replacement from nvvvnsnyszvvvnnny.
15/136
What is prob of sequence ee when two letters picked without replacement from {g: 5, j: 1, b: 2, s: 5, e: 3}?
1/40
What is prob of sequence gbgg when four letters picked without replacement from gxbggbbabgaaabaaaax?
5/3876
Three letters picked without replacement from ppppeep. What is prob of sequence ppe?
4/21
Three letters picked without replacement from {s: 3, a: 3, r: 2, d: 2, e: 7, m: 1}. Give prob of sequence dde.
7/2448
Two letters picked without replacement from cmwmwesgcwwgcwm. What is prob of sequence es?
1/210
Four letters picked without replacement from {f: 1, l: 7, m: 4, a: 2, x: 2, b: 1}. What is prob of sequence xmam?
1/1190
Calculate prob of sequence bd when two letters picked without replacement from ohbdnbndxndxdbxdn.
15/272
Three letters picked without replacement from nnynkynnknnnknnnny. What is prob of sequence kyn?
3/136
Two letters picked without replacement from rohgyyogrobb. Give prob of sequence rh.
1/
|
{
"pile_set_name": "DM Mathematics"
}
|
).
4
Let b be (-2)/(-5)*20/8. Suppose p = 3 + b. Let g(d) = 0*d**2 - 3 + 2*d**2 - 2 - 3*d**2 + 7*d. What is g(p)?
7
Let f be 8/20 + (-16)/(-10). Let k(j) = -j**3 - j - 3 + 0*j + 2*j**2 + 2*j**f. Let d be -3 + 3 + -1 + 5. What is k(d)?
-7
Let c(t) = -298*t + 591*t - 5*t**2 - 293*t. Let b = -1 - -2. Give c(b).
-5
Let t(i) = -i + 2. Let a(r) = -r + 1. Let u be a(0). Suppose -l - 3*l = -5*k + 21, 0 = 5*k - 3*l - 22. Let f be (1 + u)/(-2)*k. Calculate t(f).
7
Let l be 0 + 0 - (0 + -2). Suppose -l*k + 22 = -0*k. Let o = k + -6. Let f(c) = c**2 - 5*c - 4. Calculate f(o).
-4
Suppose 0 = 3*c - m - 34, 0 = -5*c + 2*m + 14 + 42. Suppose 4*p - c = 7*p. Let j(v) = v**3 + 5*v**2 + 5*v + 5. Give j(p).
1
Let d = -18 - -12. Let s(a) = -4*a + 5. Let b(c) = 3*c - 6. Let w(i) = d*b(i) - 7*s(i). Give w(-1).
-9
Let f be (-1)/(1*1/(-8)). Suppose -3*q - 3 = 3*x, x - f = -0*x - 4*q. Let l(m) = 0*m**2 + 0*m**2 - 4*m + 2 - 4*m**2 + 3*m**2. Determine l(x).
2
Suppose -15 - 1 = 8*h. Let j(w) = w. What is j(h)?
-2
Let l be 2 + 0 + (-2)/(-1). Let x(t) = 22*t - 18. Let c(r) = 7*r - 6. Let p(w) = -16*c(w) + 5*x(w). Determine p(l).
-2
Let w(h) = h - 4. Let a be w(6). Let v(i) = i**2 + 2*i - 2. Calculate v(a).
6
Let w(p) = -5*p**3 - 3*p**2 - 2*p. Let n(t) = -t. Let u(j) = 2*n(j) - w(j). Let s(r) = -11*r**3 - 7*r**2. Let h(a) = 4*s(a) + 9*u(a). Determine h(0).
0
Let s(b) = -b**3 + 3*b - 1. Let h = -3 - -6. Let t(l) = 3*l - l**h + 5*l**2 + 2*l + 8 + 0*l. Let f be t(6). Determine s(f).
-3
Let x(f) be the third derivative of f**7/2520 - f**6/144 - f**5/60 + f**4/4 + 3*f**2. Let y(t) be the second derivative of x(t). What is y(5)?
-2
Suppose 5*s - 21 = -4*i, 0 = -3*i - 9*s + 7*s + 14. Let t(z) be the second derivative of z**4/12 - z**3/3 + z**2 + 2*z. Determine t(i).
10
Suppose -3 = -3*g + 4*v - 7, 3*v - 3 = 4*g. Let n(u) = u**2 - 3. Give n(g).
-3
Let m(x) = -2*x - 21 + 0*x + 13 + 3*x. Give m(-6).
-14
Suppose -4 - 2 = -2*k. Let q(r) = -4*r**2 + 4*r + 0 - 7 + 2*r**k - 3*r**3. Calculate q(-5).
-2
Let q(l) = l**2 + 5*l - 5. Let y be ((-12)/(-36))/(1/15). Suppose -t - 29 = 4*w, y*w + 40 = t - 3*t. Calculate q(w).
1
Let i(q) be the first derivative of 5*q + 1/2*q**2 - 3. Calculate i(-5).
0
Let a(j) = 4*j + 1. Suppose 4*h + 18 = 2*s, -44 + 14 = -4*s + 5*h. Let d(w) = w - 6. Let q be d(s). Let m = 2 + q. Give a(m).
5
Let o(d) = -9*d + 13. Let j(y) = -3*y + 4. Let h(i) = 8*j(i) - 3*o(i). What is h(5)?
8
Let f(a) be the third derivative of a**5/30 - a**4/24 + 11*a**2. Calculate f(-1).
3
Let r(v) = v**2 + 3*v + 3. Let o be -2*(-3)/(3/(-1)). Give r(o).
1
Suppose 0 = 4*f + y - 7, -2*y = 3*f - f + 4. Let a(u) = -u**3 + 2*u**2 + 3*u + 1. Let s be a(f). Let t(l) = -3*l**3 - l**2 - l + 1. Calculate t(s).
-4
Suppose 5*g + 9 = 2*m, 0 = -2*g - 3*m - 0*m + 4. Let a be g/(3 - (-11)/(-4)). Let t(l) = 2*l + 1. Give t(a).
-7
Let w = -13 - -16. Let x be 1 - (2 - (0 - w)). Let d(z) = z**3 + 3*z**2 - 4*z - 4. Determine d(x).
-4
Let d(y) = 16*y**3 + 20*y**2 - 11*y. Let g(o) = 3*o**3 + 4*o**2 - 2*o. Let q(s) = -2*d(s) + 11*g(s). Give q(-4).
0
Let z(o) = o - 11. Let q be z(9). Let b(x) = x**3 + 3*x**2 - 2*x - 1. Calculate b(q).
7
Let w(j) = 0*j**2 + 6*j - 1 + j**2 + 0*j + 0*j**2. Give w(-6).
-1
Let d(n) = -6 + 12 - 2*n + 2*n**2 - 7 + 2*n**3. Give d(-2).
-5
Let d(o) = -5*o**3 - 10*o**2 - o - 6. Let r(b) = b**3 + b**2. Let m(h) = -d(h) - 4*r(h). What is m(-6)?
0
Let p(d) = -7 + 0*d - d - 2. Let r(m) = 2*m + 5. Let c be r(-5). What is p(c)?
-4
Suppose 2*w - 8 = 0, 5*h - 3*h + 3*w = 20. Let f(v) = -3*v + 6. Determine f(h).
-6
Let m(c) be the second derivative of c**4/4 + c**3/6 - c**2/2 - 4*c. Let d be (-58)/(-4) + 1/2. Suppose -d = 5*p - 4*n, 3*n + n - 21 = -p. Calculate m(p).
3
Let r(v) be the third derivative of -v**6/360 + v**5/40 - v**4/24 + v**2. Let a(c) be the second derivative of r(c). Let u = 13 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
6*o**2
Suppose 0 = 3*n - 5*n + 12. What is the derivative of -1 + 8*a + 3 + n + 3 wrt a?
8
Let a(d) be the first derivative of -9*d**5/5 - d**3/3 + 41*d - 95. What is the first derivative of a(g) wrt g?
-36*g**3 - 2*g
Let h(m) be the first derivative of -61*m**5/5 + m**4/2 + 10*m + 96. Differentiate h(l) with respect to l.
-244*l**3 + 6*l**2
What is the second derivative of 6765*c - 274*c**2 - 3418*c - 3425*c wrt c?
-548
Find the third derivative of 41*k - 99*k**3 - 34*k**3 + 17*k**3 + 76*k**2 - 74*k**2 wrt k.
-696
Let x(j) be the second derivative of 4*j**6/15 - j**4/4 - 41*j. Find the third derivative of x(g) wrt g.
192*g
Let t(n) = 2*n**2 - 3*n + 1. Let d be t(2). Suppose 5*x + 8*g - 80 = 3*g, 0 = 4*x - 3*g - 57. Find the second derivative of -a + d*a - x*a**5 + 11*a**5 wrt a.
-80*a**3
Let o be ((-8)/(-6))/((-12)/(-27)*1). Differentiate -17*h**o + 124*h - 124*h + 30 with respect to h.
-51*h**2
Suppose -42 = -2*s + 4*n, -48 = -2*s - 2*s - n. What is the first derivative of 10 - 8*f - 7*f + s*f wrt f?
-2
Let n(d) = -5*d - 1. Let y be n(-1). Suppose -y*i + 16 = -0. Differentiate -24*z**3 + 31*z**3 + 7 + 4*z - i*z with respect to z.
21*z**2
Let w(y) be the first derivative of 4*y**5/5 - 5*y**4/2 - 24*y**3 - y - 108. Find the third derivative of w(v) wrt v.
96*v - 60
Suppose 12 = -0*h - 4*h. Let z = 5 + h. Find the third derivative of 3*d**3 - 1 + d**z + 1 - d**3 wrt d.
12
Let d = 37 - 19. Let m be (-3)/(-2)*60/d. Find the second derivative of 2*i - m*i + 4*i**4 + 0*i**4 wrt i.
48*i**2
Suppose -58 = z - 60. Find the third derivative of -139*g**2 + 59*g**2 + 66*g**z - 22*g**5 wrt g.
-1320*g**2
Let c(u) = u**6 + u**5 + u**2. Let z(o) = -32*o**6 + 6*o**5 + 2*o**4 + 59*o**2. Let r(v) = 6*c(v) - z(v). Find the third derivative of r(f) wrt f.
4560*f**3 - 48*f
Let u(p) be the third derivative of -6*p**7/35 + p**5/20 + p**3/3 + 41*p**2 + 2. Find the third derivative of u(m) wrt m.
-864*m
Let k(n) be the third derivative of -16*n**7/7 + 5*n**4/4 - 488*n**2. What is the second derivative of k(r) wrt r?
-5760*r**2
Let g(z) be the second derivative of -z**8/480 - z**7/420 - 5*z**4/12 - 16*z. Let m(n) be the third derivative of g(n). Find the third derivative of m(x) wrt x.
-84
Let x(w) be the first derivative of 0*w + 31 + 25/3*w**3 - 19/2*w**2. Find the second derivative of x(b) wrt b.
50
Let s(m) = -559*m**5 + 5*m**4 + 7*m**2 + 3*m. Let h(j) = -280*j**5 + 3*j**4 + 3*j**2 + j. Let k(b) = 5*h(b) - 3*s(b). Find the third derivative of k(n) wrt n.
16620*n**2
Let u(z) = 53*z**4 + 6*z**2 + 3*z - 63. Let i(w) = 106*w**4 + 14*w**2 + 7*w - 126. Let o(q) = 3*i(q) - 7*u(q). Differentiate o(x) with respect to x.
-212*x**3
Let c = 55 - 33. Find the first derivative of -44*d + c*d - 16 + 24*d + 4*d**2 - 26 wrt d.
8*d + 2
Differentiate -25 - 3 + 54*r**2 - 14 wrt r.
108*r
Let g be (-2)/(-2) - (-7 + 2). Find the second derivative of m**2 - g*m + 7*m**2 - m**2 + m**2 wrt m.
16
Differentiate -13 + 13*g**2 - 87*g**2 - 12*g**2 with respect to g.
-172*g
Let w(z) = -513*z**2 + 10*z - 13. Let l(v) = -3*v - 3. Let p(c) = 3*l(c) - w(c). What is the second derivative of p(t) wrt t?
1026
Let v(r) be the third derivative of -73*r**9/72 - 827*r**5/60 + 155*r**2. What is the third derivative of v(w) wrt w?
-61320*w**3
Find the second derivative of -11*t**5 + 8*t**4 - 14*t**4 - 2*t**4 - 197*t - 2*t**4 wrt t.
-220*t**3 - 120*t**2
Let n(j) = j - 14. Let p be n(16). Let l = 1 - 1. Find the first derivative of 0*g + l*g + g**p + 0*g + 3 wrt g.
2*g
What is the third derivative of -8*t**6 - 379*t**2 + 268*t**2 + 370*t**2 + 8*t**3 wrt t?
-960*t**3 + 48
Let q(g) be the first derivative of -3*g**4/2 - 13*g**3 + 97*g**2/2 - 445. Find the second derivative of q(y) wrt y.
-36*y - 78
Suppose 0 = 3*u + 4 - 10. What is the second derivative of -16*s**2 - 16*s + 2*s**2 + 2*s**u wrt s?
-24
Find the third derivative of 151*h**3 - 29*h**2 + 182*h**2 + 9*h + 7*h**2 - 9*h wrt h.
906
Let g(k) be the third derivative of 23*k**5/20 - 31*k**4/8 - k**3/3 + 2*k**2 + 173. Find the second derivative of g(t) wrt t.
138
Let p(d) be the first derivative of 10*d**3/3 + d**2 - 218*d - 87. Find the second derivative of p(c) wrt c.
20
Let z = 83 - 81. What is the third derivative of 5*n**6 + 10*n**z - 1 + 1 + 4*n**2 wrt n?
600*n**3
Let a(x) be the first derivative of -352*x**7/7 - 245*x**3/3 + 392. Find the third derivative of a(q) wrt q.
-42240*q**3
Let a(h) = -36*h + 41. Suppose 2*v - 7*v = -85. Let f(c) = -12*c + 14. Let l(b) = v*f(b) - 6*a(b). Differentiate l(w) with respect to w
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1)/5
Let w(u) be the third derivative of u**7/490 + u**6/70 + 3*u**5/70 + u**4/14 + u**3/14 - 6*u**2. Determine p, given that w(p) = 0.
-1
Let d(p) = p**4 - p**3 - 1. Let r(s) = -7*s**5 - 5*s**4 - 10*s**3 - 6. Let m(j) = -30*d(j) + 5*r(j). What is i in m(i) = 0?
-1, -4/7, 0
Let y be (1/3)/((-14)/(-21) + 1). Factor -1/5*k**3 + y*k - 1/5*k**2 + 1/5.
-(k - 1)*(k + 1)**2/5
Let z = 6 + -4. Suppose -p = z*p - 6. Suppose -1/2*v + 1/2*v**p + 0 = 0. What is v?
0, 1
Let f(j) be the third derivative of -j**9/3024 + j**7/420 - j**5/120 - j**3/2 + 5*j**2. Let m(o) be the first derivative of f(o). Factor m(r).
-r*(r - 1)**2*(r + 1)**2
Solve -1/4*k**5 - 1/2*k**2 + 0*k**4 + 0 + 0*k + 3/4*k**3 = 0.
-2, 0, 1
Let w(f) be the second derivative of 4*f - 1/80*f**5 + 0 - 1/48*f**4 + 0*f**2 + 1/120*f**6 + 1/24*f**3. Let w(z) = 0. What is z?
-1, 0, 1
Let 0*o**2 + 1/2*o**3 + 0 - 1/4*o - 1/4*o**5 + 0*o**4 = 0. What is o?
-1, 0, 1
Factor 36 + 3*l - 43*l + 4*l**2 + 0*l**2 + 64.
4*(l - 5)**2
Let p(t) be the first derivative of -t**4 - 4/5*t**5 + 0*t + 4/3*t**3 + 2*t**2 + 1. Factor p(d).
-4*d*(d - 1)*(d + 1)**2
Let j(o) = -o + 8. Let m be j(10). Let s be 0/4 - (m + 0). What is g in 8/9*g**5 - 2/9 - 16/9*g**4 + 2/9*g**3 - 2/9*g + 10/9*g**s = 0?
-1/2, 1
Suppose 4*f = i - 3*i + 28, 5*i = 3*f - 21. Find q, given that 8*q - 26*q**2 + f - 12 + 13 + 10*q**3 = 0.
-2/5, 1, 2
Let r(k) = -15*k - 12. Let y(m) = m**2 + m - 1. Let b(p) = -r(p) - 3*y(p). Factor b(q).
-3*(q - 5)*(q + 1)
Let x(a) be the first derivative of 2*a**3/45 + 8*a**2/15 + 32*a/15 + 6. Factor x(o).
2*(o + 4)**2/15
Let q(b) = 12*b**2 + 2*b - 1. Let j be q(1). Suppose -j = -4*d - 1. What is v in -2/7*v**5 + 0 + 2/7*v**d + 0*v - 2/7*v**4 + 2/7*v**2 = 0?
-1, 0, 1
Let c(t) = t + 7. Let k be c(-5). Suppose 2*q**3 + k*q**2 - 3*q + 0*q**3 - 3 + q**3 + q**2 = 0. What is q?
-1, 1
Let p(i) = i**4 + 5*i**3 + 6*i**2 - 7*i - 11. Let m(z) = -2*z**4 - 10*z**3 - 12*z**2 + 13*z + 21. Let l(x) = -3*m(x) - 5*p(x). Factor l(t).
(t - 1)*(t + 2)**3
Let -2*d**2 - d**3 - 5*d**3 + 0*d**4 + 8*d**4 = 0. What is d?
-1/4, 0, 1
Suppose 0*u = -3*u - n + 50, 44 = 2*u - 2*n. Suppose -3*o + u = -3*j, -4*o - 5*j + 24 = -0. Factor -18*c**5 - o - 74*c**3 + 40*c**2 + 60*c**4 - 8*c + 6.
-2*c*(c - 1)**2*(3*c - 2)**2
Let o be 1*(-8)/(-2) - 0. Let 6 - o + 2*z**2 - 4*z + 0*z**2 = 0. What is z?
1
Let n(t) be the second derivative of 2*t**2 - 2/3*t**4 + 1/3*t**3 - 1/5*t**5 - t + 1/21*t**7 + 0 + 2/15*t**6. Find s such that n(s) = 0.
-2, -1, 1
Let o be (8/50)/((-154)/(-35) + -4). Find s such that o*s**5 + 2/5*s**3 + 0*s**2 + 0*s + 0 + 4/5*s**4 = 0.
-1, 0
Let w be -122*(3525/(-3537) - -1). Let k = 4/131 - w. Determine o, given that -2/3*o**4 - 4/9*o**3 - 2/9*o**5 + 2/9 + 2/3*o + k*o**2 = 0.
-1, 1
Let r(c) be the first derivative of c**6/16 + 21*c**5/20 + 6*c**4 + 8*c**3 - 48*c**2 - 192*c - 25. Find m, given that r(m) = 0.
-4, 2
Let n = 92 + -92. Let c(y) be the first derivative of 1/5*y**2 + 1 + 2/15*y**3 + n*y. Factor c(p).
2*p*(p + 1)/5
Let o = 7/30 - -1/10. Let g(h) be the first derivative of -2 - 2*h - 3/2*h**2 - o*h**3. Factor g(b).
-(b + 1)*(b + 2)
Let f(r) be the second derivative of -1/15*r**4 + 0*r**3 + 0*r**2 + 0 - 1/50*r**5 - 6*r. Factor f(x).
-2*x**2*(x + 2)/5
Let o(j) be the third derivative of 6*j**2 - 1/360*j**6 + 0 + 1/72*j**4 + 0*j + 0*j**3 + 0*j**5. Factor o(r).
-r*(r - 1)*(r + 1)/3
Let h(x) = x**3 - 3*x**2 + 3*x. Let w be h(2). Let j(r) be the second derivative of -1/12*r**3 + 0 + 0*r**w - r - 1/24*r**4. Factor j(z).
-z*(z + 1)/2
Let m(q) = q**3 - 4*q**2 + 4*q + 1. Let g be 1/(-2)*12/(-2). Let c be m(g). Factor 0 + 2*a**2 + 2*a**3 + 2/3*a**c + 2/3*a.
2*a*(a + 1)**3/3
Suppose 0 = -2*d - 0*d + 10. Let o be -1*(-4 - -3)*d. Factor -o*c**2 + 2*c**2 + c**3 - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
ower of 1/8, to the nearest integer?
4
What is 35075 to the power of 1/2, to the nearest integer?
187
What is the tenth root of 191865 to the nearest integer?
3
What is the seventh root of 391328 to the nearest integer?
6
What is 1032518 to the power of 1/3, to the nearest integer?
101
What is the square root of 386551 to the nearest integer?
622
What is the seventh root of 44058 to the nearest integer?
5
What is the ninth root of 554727 to the nearest integer?
4
What is 8017924 to the power of 1/7, to the nearest integer?
10
What is the square root of 15934623 to the nearest integer?
3992
What is the square root of 21097031 to the nearest integer?
4593
What is 311705 to the power of 1/3, to the nearest integer?
68
What is 15379773 to the power of 1/2, to the nearest integer?
3922
What is the third root of 513978 to the nearest integer?
80
What is 3912270 to the power of 1/2, to the nearest integer?
1978
What is the eighth root of 233509 to the nearest integer?
5
What is 731720 to the power of 1/2, to the nearest integer?
855
What is the square root of 10313797 to the nearest integer?
3212
What is the square root of 17944159 to the nearest integer?
4236
What is 8376071 to the power of 1/4, to the nearest integer?
54
What is 5247149 to the power of 1/2, to the nearest integer?
2291
What is the seventh root of 1763388 to the nearest integer?
8
What is 29294389 to the power of 1/10, to the nearest integer?
6
What is the cube root of 14787 to the nearest integer?
25
What is the tenth root of 147831 to the nearest integer?
3
What is the cube root of 27013878 to the nearest integer?
300
What is 2818870 to the power of 1/9, to the nearest integer?
5
What is the third root of 1422006 to the nearest integer?
112
What is the ninth root of 2246088 to the nearest integer?
5
What is the third root of 25826063 to the nearest integer?
296
What is the eighth root of 10070761 to the nearest integer?
8
What is the square root of 3931296 to the nearest integer?
1983
What is the square root of 1801877 to the nearest integer?
1342
What is 124187 to the power of 1/3, to the nearest integer?
50
What is the square root of 670692 to the nearest integer?
819
What is 4804001 to the power of 1/9, to the nearest integer?
6
What is 525302 to the power of 1/3, to the nearest integer?
81
What is 381916 to the power of 1/2, to the nearest integer?
618
What is 4013254 to the power of 1/9, to the nearest integer?
5
What is 439172 to the power of 1/2, to the nearest integer?
663
What is the square root of 18718554 to the nearest integer?
4326
What is 533004 to the power of 1/2, to the nearest integer?
730
What is the square root of 743338 to the nearest integer?
862
What is 215660 to the power of 1/8, to the nearest integer?
5
What is 79617 to the power of 1/3, to the nearest integer?
43
What is 1683923 to the power of 1/2, to the nearest integer?
1298
What is the tenth root of 15646507 to the nearest integer?
5
What is the square root of 562929 to the nearest integer?
750
What is the tenth root of 1397987 to the nearest integer?
4
What is 7230500 to the power of 1/7, to the nearest integer?
10
What is the square root of 121652 to the nearest integer?
349
What is the cube root of 254552 to the nearest integer?
63
What is the square root of 415229 to the nearest integer?
644
What is 10090629 to the power of 1/3, to the nearest integer?
216
What is 20142879 to the power of 1/3, to the nearest integer?
272
What is 255874 to the power of 1/2, to the nearest integer?
506
What is 21407799 to the power of 1/5, to the nearest integer?
29
What is 2710379 to the power of 1/5, to the nearest integer?
19
What is the fourth root of 341142 to the nearest integer?
24
What is 71025 to the power of 1/3, to the nearest integer?
41
What is the ninth root of 1604674 to the nearest integer?
5
What is the tenth root of 720955 to the nearest integer?
4
What is 1114656 to the power of 1/3, to the nearest integer?
104
What is the square root of 570223 to the nearest integer?
755
What is 398461 to the power of 1/3, to the nearest integer?
74
What is the square root of 108240 to the nearest integer?
329
What is 129036 to the power of 1/2, to the nearest integer?
359
What is 194463 to the power of 1/3, to the nearest integer?
58
What is 869043 to the power of 1/2, to the nearest integer?
932
What is 33223 to the power of 1/4, to the nearest integer?
14
What is 628137 to the power of 1/4, to the nearest integer?
28
What is 223868 to the power of 1/8, to the nearest integer?
5
What is the square root of 761371 to the nearest integer?
873
What is the sixth root of 628912 to the nearest integer?
9
What is the third root of 1307885 to the nearest integer?
109
What is the cube root of 7509874 to the nearest integer?
196
What is the square root of 630148 to the nearest integer?
794
What is the sixth root of 397865 to the nearest integer?
9
What is the cube root of 2900460 to the nearest integer?
143
What is the third root of 203572 to the nearest integer?
59
What is the third root of 561304 to the nearest integer?
82
What is the third root of 162186 to the nearest integer?
55
What is 7209420 to the power of 1/3, to the nearest integer?
193
What is the third root of 4242019 to the nearest integer?
162
What is the square root of 4125919 to the nearest integer?
2031
What is 7635620 to the power of 1/3, to the nearest integer?
197
What is 174238 to the power of 1/2, to the nearest integer?
417
What is the tenth root of 11182604 to the nearest integer?
5
What is the third root of 55599 to the nearest integer?
38
What is the tenth root of 1787106 to the nearest integer?
4
What is 7419288 to the power of 1/3, to the nearest integer?
195
What is the seventh root of 1579018 to the nearest integer?
8
What is 22211 to the power of 1/9, to the nearest integer?
3
What is the square root of 5638980 to the nearest integer?
2375
What is the ninth root of 16819405 to the nearest integer?
6
What is 12075260 to the power of 1/7, to the nearest integer?
10
What is 1648995 to the power of 1/3, to the nearest integer?
118
What is 3458561 to the power of 1/3, to the nearest integer?
151
What is 2614213 to the power of 1/2, to the nearest integer?
1617
What is 1232331 to the power of 1/2, to the nearest integer?
1110
What is 1393361 to the power of 1/3, to the nearest integer?
112
What is 8240647 to the power of 1/5, to the nearest integer?
24
What is the eighth root of 4942778 to the nearest integer?
7
What is the square root of 2589270 to the nearest integer?
1609
What is 1148495 to the power of 1/2, to the nearest integer?
1072
What is 2608319 to the power of 1/2, to the nearest integer?
1615
What is the third root of 140013 to the nearest integer?
52
What is 4702519 to the power of 1/2, to the nearest integer?
2169
What is the sixth root of 600040 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
*u(j).
3*j**2
Let a(d) = -2*d + 3. Let r(q) = q**2 + 5*q - 51. Let w be r(-10). Let b(f) = 4. Let m(k) = 1. Let j(s) = -b(s) + 3*m(s). Determine w*a(z) - 3*j(z).
2*z
Let m(z) be the third derivative of z**6/40 - 7*z**5/60 - z**2 - 79. Let o(n) be the second derivative of -n**5/20 + n**4/4 + n. Give -3*m(l) - 7*o(l).
-2*l**3
Let k(i) = -14*i - 643. Let o be k(-46). Let g(b) = -b - 1. Let h(c) = 10*c + 8. Determine o*h(j) + 6*g(j).
4*j + 2
Let d(f) = -f - 1. Let m(b) = 2*b - 18. What is -3*d(p) - m(p)?
p + 21
Let i(x) = x - 1. Let v(q) = -6*q + 4. Let g be 7/(840/(-104)) - (-4)/(-30). Calculate g*v(k) - 4*i(k).
2*k
Let v(a) = -a**2 - 2*a + 1. Let h(t) = -88*t**2 - 31*t - 37. Let x(y) = h(y) + 2*v(y). Let d(n) = -10*n**2 - 4*n - 4. Calculate -35*d(f) + 4*x(f).
-10*f**2
Let w(b) = 5*b - 2. Let h be w(1). Suppose 0 = a + h - 2. Let g(p) = p**2 - 2. Let r(j) = -j**2. Determine a*g(q) - 2*r(q).
q**2 + 2
Let j(w) = -w - 182. Let i(z) = z + 187. Calculate 2*i(y) + 3*j(y).
-y - 172
Let u(f) = -6*f**3 - 2*f**2 + 4*f + 106. Let w(j) = 20*j**3 + 7*j**2 - 14*j - 318. Calculate 7*u(o) + 2*w(o).
-2*o**3 + 106
Let o(c) = -10860*c**2 - 181*c. Let m(v) = -181*v**2 - 3*v. What is 181*m(l) - 3*o(l)?
-181*l**2
Let c(q) = -2*q**2 - 3*q. Let a(s) = -s**2 - 1. Determine 5*a(f) - c(f).
-3*f**2 + 3*f - 5
Let p(j) = -j**2 + j + 2. Let h(t) be the second derivative of t**4/4 - t**3/2 - 7*t**2/2 + 253*t. Suppose 0*z - z + 2 = 0. Determine z*h(a) + 7*p(a).
-a**2 + a
Let w(h) = -2*h - 11. Let r = -35 + 34. Let x(u) = 1. Let d(b) = r*w(b) + 6*x(b). Let t(c) = c + 6. What is 3*d(a) - 8*t(a)?
-2*a + 3
Let y(a) = -a + 2. Let m(p) = 1. Let u(r) = -m(r) - y(r). Let o(w) = -7*w - 5. Let g(q) = q + 1. Let h(i) = -6*g(i) - o(i). Determine -2*h(k) + u(k).
-k - 1
Suppose 5*y + 7*h - 61 = 5*h, y - 5*h + 4 = 0. Let g(x) = x + 2. Let d(z) = 6*z + 9. Determine y*g(q) - 2*d(q).
-q + 4
Suppose 0 = -4*v - 3*g, -696*v + 694*v = 5*g + 14. Let b(m) = 11*m**3 + 15*m**2 - m - 8. Let n(r) = -4*r**3 - 5*r**2 + 3. What is v*b(f) + 8*n(f)?
f**3 + 5*f**2 - 3*f
Let k be (-2)/9 - (-74)/9. Let a(s) = -4*s + 1. Let p(y) = 17*y - 5. Let g(n) = -9*a(n) - 2*p(n). Let l(d) = 6*d - 3 + 3 + 3. What is k*g(t) - 3*l(t)?
-2*t - 1
Let q(m) = 2*m**2 - 2. Suppose -3*l + 0 + 6 = 0. Let p be q(l). Let d(c) = -7*c**2 + 1 + 0*c**2 + p*c**2 + 4. Let s(v) = -1. What is -d(u) - 6*s(u)?
u**2 + 1
Let w(u) = 151*u**2 - 67*u**2 + 5*u + 2 - 85*u**2 - 5*u. Let s(q) be the first derivative of 2*q**3 - 11*q - 1. Give -4*s(k) - 22*w(k).
-2*k**2
Let w(c) = c**2 - 12*c - 8. Let q(n) = -n**2 + 10*n + 9. What is 5*q(y) + 4*w(y)?
-y**2 + 2*y + 13
Let g(w) = -w**2 + 1. Let n(y) = 17 + 3*y**2 - 21 + 4*y**2 - 3*y - y**2 - 2*y**2. What is -6*g(h) - n(h)?
2*h**2 + 3*h - 2
Let o(y) = -4*y - 48. Let d be -11*(-3)/15 + 2/(-10). Let i(a) = 1. Let c(v) = d*o(v) + 88*i(v). Let s(p) = 3*p + 3. What is 5*c(r) + 14*s(r)?
2*r + 2
Let a(c) = -129*c**2 + 11*c - 5. Let w(z) = -386*z**2 + 36*z - 16. Give -16*a(d) + 5*w(d).
134*d**2 + 4*d
Let q(g) = -101*g**3 + 101*g - 101. Let t(c) = c**3 + c - 1. Give q(p) - 101*t(p).
-202*p**3
Let p(y) = 4*y + 12. Let m(x) = 7*x + 22. What is -3*m(q) + 5*p(q)?
-q - 6
Let w = 333 + -334. Let u(s) = s**2 - s - 1. Let n(m) = m**2 - 3. Calculate w*n(y) + 3*u(y).
2*y**2 - 3*y
Let o(w) = -5*w**3 + 8*w - 6. Let l(t) = t**3 - t + 1. Let g(v) = -12*v - 30. Let b be g(-3). Give b*l(a) + o(a).
a**3 + 2*a
Let x(y) = -y + 1. Let p be x(0). Let r(d) be the third derivative of -d**6/120 - d**4/24 - 636*d**2. Let m(j) = 7*j**3 + 4*j. Calculate p*m(u) + 4*r(u).
3*u**3
Let s(a) = -26*a - 28
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*f = 3*f - 13. Solve 7*k + 4*q = t*k + 9, -3*q + 4 = j*k for k.
-1
Suppose 39*r = 7*r. Solve r = 2*w + 28 - 20, 28 = 2*l - 5*w for l.
4
Suppose 6*y - 3*y - 27 = 0. Let m be 6/2 + 28 + -7 + -3. Solve m = -5*g + 2*j, y = 5*j - 6 for g.
-3
Suppose -113 = -2*j + 71. Let n = 3279 + -3187. Let a = j - n. Solve -2*c + 1 = m - 12, a = m - 4*c + 17 for m.
3
Let o be (1 - 3/4)*(215 - 207). Let r be 1 + 0 + -2 + 1. Suppose r = 4*c - 0*c - 28. Solve 0 = 3*n - 3*w, -c*n + 3*n = o*w + 12 for n.
-2
Suppose -2*b + 2053 = 2049. Solve 4*m - 2*i = -12, -13*m + 18*m + b*i = -15 for m.
-3
Let j(v) = 29*v + 1249. Let w be j(-43). Solve 0 = w*x - 3*k + 5, 2*x = 3*k + k - 8 for x.
2
Let c(r) = -r**3 + 41*r**2 - 116*r + 91. Let y be c(38). Suppose -5*n = s - y, -8*n + 7*n + 3 = s. Solve 0*g + 4*g + 26 = -3*o, 2*o + 4 = s for g.
-5
Let c(m) = m**3 + 123*m**2 - 646*m - 758. Let b be c(-128). Let u be (0 - -1) + 4 + -1. Solve -3*z + b = -8*z, 3*z - 6 = -u*i for i.
3
Let t = -131 - -70. Let x = -40 - t. Suppose -24 = -3*k + 5*p, p - 4*p = -4*k + x. Solve 0 = k*r - 5*r + 8, -3*r = -l - 14 for l.
-2
Let m = 1715 + -1000. Suppose -95 = 10*c - m. Let j = 66 - c. Solve -4*w + 3*w + 1 = a, 0 = -j*w + 4*a + 28 for w.
4
Let s = 0 - -2. Suppose 2*h = 4*r + 48, -4*h - 17*r + 93 = -22*r. Solve -l + s = 3*x + h, 0 = -3*x - 3*l - 30 for x.
-5
Suppose 9*o - 1215 = -0*o. Suppose 4*b = o - 35. Suppose 2*w = 3*w + 4*k - 23, 5*k - b = 0. Solve -2*n - w*u = -25, 0 = 2*u - 2 - 8 for n.
5
Suppose -5*j + 12*j = 189. Suppose 0 = 3*f + j - 39. Solve 2*u + 3*k = -k + 10, f*k = 3*u - 5 for u.
3
Suppose 5*z + s - 21 = 0, -s + 4*s = 3. Let a(y) = y**2 - 33*y + 144. Let d be a(28). Solve d*k = -2*r + 3*r + 1, z*r + 4 = k for r.
-1
Suppose 20 = 4*u + 16, 3*x = -5*u - 31. Let j be (44/x + 5 + -2)*-3. Solve 4 = -4*l - 4*p, 3*l + p + 1 = -j for l.
-1
Let r = -2902 - -2921. Solve -5*x = -2*y - r, -14*x = -18*x + 12 for y.
-2
Suppose -677 = -b - 653. Solve -y - 3*m = -5*y + b, 3*m + 9 = -y for y.
3
Suppose 53*q - 32*q = 42. Solve 5*k - 3*m = -1, 3 = -q*k + 2*m + 5 for k.
-2
Let m be (5 - (-1 - 5))*1. Suppose -2*p = u - 16, 0 = -u - 0*u - 3*p + 17. Suppose -10*j - 8 = -u*j. Solve 5*h + m = 4*s, -h - 4 = -j*s + h for s.
-1
Let r = -5689 + 5701. Solve -r = f - 7, 0 = 3*s - f + 10 for s.
-5
Let n(z) = -3*z**2 - 28*z + 126. Let f(w) = 2*w**2 + 14*w - 64. Let s(x) = 5*f(x) + 3*n(x). Let r be s(6). Solve -3*u - 1 = 3*m - r, 1 = -m + u for m.
1
Suppose 45*g - 50*g + 15 = 0. Let d be -5*(g - (-36)/(-10)). Let n be 4/18 - 86*d/(-54). Solve 0*v - 4*q + 7 = v, 0 = n*q - 15 for v.
-5
Let j be (2/(4/5))/((-10)/(-220)*11). Solve -j*l + 32 = 4*i, 4*i - 5*l = -2*l for i.
3
Let o(c) = c**2 + 5*c + 3. Suppose 2*m + 23 - 9 = 0. Let t be o(m). Let k = -3661 + 3664. Solve -5*w = 3*a + 32, -k*a - t = 2*w + 3 for w.
-4
Let a = -844 - -864. Let m be (-108)/(-15)*5/3. Solve -2*u + m + 0 = t, 0 = 3*u + 2*t - a for u.
4
Suppose -38 = j + j. Let f = -13 - j. Let l = 66 - 62. Solve 3*r + c = -1, -24 = -4*r + f*r - l*c for r.
-2
Suppose -38 = -5*o + 32. Let p(f) = f**3 - 14*f**2 - f + 14. Let t be p(o). Solve x + v = -0*x + 9, -4*x + 4*v + 4 = t for x.
5
Let g = -69 + 68. Let t be ((-18)/27)/(g/6). Suppose -v + 6 = o, -o - 7 - 2 = -2*v. Solve -2*b = v*f + 18, 4*f + t*b + 21 = -3 for f.
-2
Let h be 12 - (4 + 6 + -7). Let f(y) = y**2 - 13*y + 46. Let l be f(h). Solve 9*a + l = 5*v + 4*a, 0 = -v + 2*a + 1 for v.
3
Let g = 187 - 67. Let n = g - 129. Let b be n/(-6)*(100/(-6))/(-1). Solve -2*i = -0*i - 4*c - 30, 0 = 5*c + b for i.
5
Suppose -24*b - 134*b + 247 = -543. Solve 0 = -12*a + 9*a + y - 10, 0 = -b*a + 4*y - 5 for a.
-5
Suppose 7*k = 68 + 44. Suppose w - k*d - 7 = -15*d, 3*d + 27 = 5*w. Solve -5*g = w*l + 23, 0 = -3*l + 4*l - g - 3 for l.
-1
Let v be (0 + 0)/(-7 + 8). Solve 5*q + 2*p + 21 + 24 = v, q = p - 2 for q.
-7
Let b be (6534/(-1936))/((-3)/16). Solve 9 = t - 4*s, -7 = -5*t - b*s + 19*s for t.
|
{
"pile_set_name": "DM Mathematics"
}
|
*m**2 + 3 + 2*m**2 - 4*m. Let t be l(2). Let x(v) = -v**3 - 6*v**2 + 3*v - 3. What is the tens digit of x(t)?
2
Suppose -x + 1987 + 2929 = 2*m, -m = -x + 4910. What is the tens digit of x?
1
Suppose 0 = 75*h - 71*h - 340. What is the tens digit of h?
8
Let o be (-1)/(-3) - 6/(-9). What is the tens digit of o - (7 + -3) - -35?
3
Let v(b) = b**3 - 3*b**2 + 4*b + 7. Let c be v(5). Let d = c + -26. Suppose g - 6*g - 4*z + d = 0, -g + z = -3. What is the units digit of g?
7
Let q(s) = s**3 + 21*s**2 - 11*s + 9. Let m be q(-21). Suppose -3*b + 84 + m = 0. What is the units digit of b?
8
Let n = 220 + -137. What is the units digit of n?
3
Let j = 26 + -24. Suppose -4*z + j*b = -470, 452 = -0*z + 4*z + 4*b. What is the hundreds digit of z?
1
Let u = 89 - 35. Let m = u + -109. What is the units digit of -3*(-12)/9 - m?
9
Let a(x) = 68*x**2 - 4*x + 6. Let c = 152 + -150. What is the hundreds digit of a(c)?
2
Suppose -6 = 3*m - 2*a - 18, -4*a = 0. What is the units digit of 1/m + (-297)/(-12)?
5
Suppose -5*u = -27 + 7. Suppose 21 = -u*h + 165. What is the units digit of h?
6
Suppose -5*x = 3*k - 9468, k - 3*k - x = -6305. What is the hundreds digit of k?
1
Let k(v) = 15 - 9*v - 6*v - v + v**2. Let z(y) = -y**2 - 21*y - 22. Let s be z(-19). What is the tens digit of k(s)?
1
What is the units digit of 3/4 + (-54306)/(-72)?
5
Let j = -19 + 61. Suppose 38*u = j*u - 808. What is the units digit of u?
2
Suppose 3*p - 6*p + 3351 = 0. What is the tens digit of p?
1
Let i = 8 - 4. Suppose -3*o + 2*o + 3 = 0. Suppose i*a - d - o*d - 76 = 0, -d + 35 = 2*a. What is the tens digit of a?
1
Suppose -5*f + 47 = 4*x - 1, -2*f - 13 = -3*x. Suppose -3*r + 3 = -g, x = r + 4*r - g. Suppose -4*v - 4*o = 4, -r*v + 3 = o + 1. What is the units digit of v?
3
Suppose -4*n - 6*b + 3*b + 1232 = 0, -5*b = n - 325. Suppose -2*f + 7*f - n = 0. What is the tens digit of f?
6
Suppose 0 = s - 18*s + 11322. What is the tens digit of s?
6
Let f = -319 + 551. What is the hundreds digit of f?
2
Let h(w) = 4*w**3 - 9*w**2 + 9*w + 13. What is the hundreds digit of h(6)?
6
Let w = 335 - 78. What is the units digit of w?
7
Let j(p) = -p + 12. Let o = -14 + 5. Let n be j(o). Suppose -2*y + 3*y - n = 0. What is the units digit of y?
1
Suppose 19*b = -13*b + 32000. What is the units digit of b?
0
Suppose 0 = 4*s + 4*o - 8520, -2*o + 2564 - 8969 = -3*s. What is the tens digit of s?
3
Suppose 2*r + 18 = r - 5*w, 5*r = -3*w - 2. What is the units digit of ((-30)/25)/(r/(-5))?
3
Let u = 1337 + -750. What is the hundreds digit of u?
5
Suppose 0 = -17*j + 27444 + 15532. What is the units digit of j?
8
Suppose -63*p + 33471 + 297 = 0. What is the units digit of p?
6
Let c = 551 + -268. Let x = -125 + c. What is the tens digit of x?
5
Suppose -m + 2*q = 66, 2*q - 288 = 6*m - 2*m. Let w = 112 + m. What is the units digit of w?
8
Let l = 11 - 25. Let o = 19 + l. Suppose 0 = 5*a - 3*a + 3*d - 29, -a - 3 = o*d. What is the tens digit of a?
2
Suppose 4*k - 2*k = 0. Suppose 5*j + 1 + 29 = k. What is the units digit of (-144)/(-40)*(-1 - j)?
8
Let j be 46/3*12/(-8). Let x(s) = s**3 + 6*s**2 - 2*s. Let g be x(-4). Let f = g + j. What is the tens digit of f?
1
Let g be (-3)/6*(3 + (-12)/4). Let j be ((-4)/(-2))/(4/6). Suppose 0*k - 28 = -l - 2*k, g = -l - j*k + 31. What is the tens digit of l?
2
Suppose 0 = 2*n - n - 33. Suppose 2*c = 8, -a - 2*c + n = -9. What is the tens digit of (-12)/30*(-1 - a)?
1
Suppose 7*m + 6 = 5*m, -34 = -5*w + 3*m. Suppose 0 = 2*k - w*g - 291, 125 + 308 = 3*k - 4*g. What is the units digit of k?
3
Suppose -4*n + 9380 - 1856 = 4*p, 3774 = 2*p - n. What is the hundreds digit of p?
8
Let g(f) be the third derivative of -f**6/60 + f**5/20 + f**4/8 - f**3/2 + 6*f**2. Let m be g(-3). Let h = m + -40. What is the tens digit of h?
2
Let f = 455 + 1988. What is the thousands digit of f?
2
Let t = 462 - 304. What is the units digit of t?
8
Suppose -6*q - 82 = 20. Let i(d) = -d - 1. What is the tens digit of i(q)?
1
Let s = -9234 - -13445. What is the hundreds digit of s?
2
Let g(v) = -5*v + 2. Let l be g(-7). Let k = l - 31. Suppose 22 = 4*w + k. What is the units digit of w?
4
Suppose 0 = 71*u - 95*u + 70152. What is the hundreds digit of u?
9
Suppose -a - 3*v + 339 = 0, -5*v = 21 - 1. What is the units digit of a?
1
Let s = -54 + 57. Suppose -2*c - 97 = -n - 0*n, -5*n - s*c + 459 = 0. What is the tens digit of n?
9
Suppose -3*o + 45 = -9. Let h be o/3 + 0 + 0. Suppose j - 73 = -5*u, 85 = 5*u - j + h*j. What is the units digit of u?
4
Let q(f) = -f**2 + 10*f + 24. Let m be q(11). Let g(n) = -n**2 + 16*n - 18. What is the units digit of g(m)?
1
Let g(n) = 2*n**2 + 16*n - 18. Let m be g(14). Suppose 368 = 7*l - m. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 29?
26
What is the remainder when 23329 is divided by 76?
73
What is the remainder when 12317 is divided by 160?
157
What is the remainder when 30937 is divided by 65?
62
Calculate the remainder when 209 is divided by 71.
67
What is the remainder when 243 is divided by 61?
60
What is the remainder when 480 is divided by 23?
20
What is the remainder when 169 is divided by 13?
0
Calculate the remainder when 210 is divided by 39.
15
Calculate the remainder when 8063 is divided by 16.
15
Calculate the remainder when 3399 is divided by 566.
3
Calculate the remainder when 64 is divided by 48.
16
What is the remainder when 303 is divided by 72?
15
What is the remainder when 139 is divided by 20?
19
Calculate the remainder when 906 is divided by 228.
222
What is the remainder when 117 is divided by 100?
17
What is the remainder when 33 is divided by 7?
5
Calculate the remainder when 1029 is divided by 34.
9
Calculate the remainder when 319 is divided by 59.
24
What is the remainder when 202 is divided by 53?
43
Calculate the remainder when 51 is divided by 19.
13
What is the remainder when 48 is divided by 10?
8
Calculate the remainder when 1000 is divided by 24.
16
What is the remainder when 9 is divided by 3?
0
Calculate the remainder when 637 is divided by 226.
185
Calculate the remainder when 826 is divided by 22.
12
What is the remainder when 966 is divided by 121?
119
What is the remainder when 121 is divided by 16?
9
Calculate the remainder when 183 is divided by 77.
29
What is the remainder when 193 is divided by 93?
7
What is the remainder when 13948 is divided by 90?
88
What is the remainder when 252 is divided by 63?
0
Calculate the remainder when 1475 is divided by 61.
11
What is the remainder when 1678 is divided by 120?
118
Calculate the remainder when 250 is divided by 25.
0
What is the remainder when 2684 is divided by 168?
164
Calculate the remainder when 197 is divided by 29.
23
What is the remainder when 26 is divided by 4?
2
Calculate the remainder when 951 is divided by 4.
3
Calculate the remainder when 112 is divided by 44.
24
What is the remainder when 586 is divided by 74?
68
Calculate the remainder when 92 is divided by 3.
2
Calculate the remainder when 1181 is divided by 93.
65
Calculate the remainder when 312 is divided by 79.
75
Calculate the remainder when 9786 is divided by 89.
85
What is the remainder when 169 is divided by 27?
7
Calculate the remainder when 44 is divided by 16.
12
Calculate the remainder when 657 is divided by 35.
27
Calculate the remainder when 1686 is divided by 140.
6
What is the remainder when 44 is divided by 16?
12
What is the remainder when 317 is divided by 51?
11
Calculate the remainder when 20 is divided by 9.
2
Calculate the remainder when 364 is divided by 37.
31
Calculate the remainder when 2046 is divided by 64.
62
Calculate the remainder when 2349 is divided by 780.
9
What is the remainder when 10219 is divided by 146?
145
What is the remainder when 166 is divided by 24?
22
What is the remainder when 826 is divided by 12?
10
What is the remainder when 1846 is divided by 22?
20
What is the remainder when 127 is divided by 16?
15
What is the remainder when 69 is divided by 12?
9
What is the remainder when 1409 is divided by 94?
93
Calculate the remainder when 117 is divided by 23.
2
What is the remainder when 4170 is divided by 321?
318
Calculate the remainder when 1218 is divided by 53.
52
What is the remainder when 382 is divided by 37?
12
What is the remainder when 129 is divided by 13?
12
What is the remainder when 1097 is divided by 19?
14
What is the remainder when 427 is divided by 118?
73
What is the remainder when 104 is divided by 15?
14
Calculate the remainder when 439 is divided by 70.
19
What is the remainder when 47 is divided by 25?
22
Calculate the remainder when 293 is divided by 42.
41
Calculate the remainder when 335 is divided by 88.
71
What is the remainder when 1627 is divided by 326?
323
What is the remainder when 3375 is divided by 102?
9
What is the remainder when 197 is divided by 96?
5
Calculate the remainder when 1783 is divided by 94.
91
What is the remainder when 987 is divided by 6?
3
Calculate the remainder when 59 is divided by 7.
3
What is the remainder when 262 is divided by 47?
27
Calculate the remainder when 1056 is divided by 14.
6
Calculate the remainder when 1327 is divided by 19.
16
What is the remainder when 40 is divided by 14?
12
Calculate the remainder when 455 is divided by 38.
37
Calculate the remainder when 346 is divided by 103.
37
Calculate the remainder when 9318 is divided by 13.
10
Calculate the remainder when 69 is divided by 57.
12
Calculate the remainder when 69 is divided by 24.
21
Calculate the remainder when 10531 is divided by 439.
434
Calculate the remainder when 4938 is divided by 48.
42
Calculate the remainder when 559 is divided by 19.
8
Calculate the remainder when 169 is divided by 32.
9
What is the remainder when 336 is divided by 119?
98
Calculate the remainder when 145 is divided by 103.
42
What is the remainder when 1503 is divided by 172?
127
Calculate the remainder when 67 is divided by 14.
11
Calculate the remainder when 507 is divided by 58.
43
What is the remainder when 24 is divided by 8?
0
Calculate the remainder when 69 is divided by 68.
1
What is the remainder when 212 is divided by 61?
29
What is the remainder when 189 is divided by 64?
61
Calculate the remainder when 5303 is divided by 102.
101
Calculate the remainder when 1136 is divided by 162.
2
Calculate the remainder when 339 is divided by 176.
163
What is the remainder when 616 is divided by 158?
142
Calculate the remainder when 156 is divided by 25.
6
Calculate the remainder when 1268 is divided by 27.
26
What is the remainder when 46 is divided by 34?
12
What is the remainder when 38 is divided by 3?
2
What is the remainder when 703 is divided by 11?
10
What is the remainder when 70 is divided by 19?
13
Calculate the remainder when 505 is divided by 35.
15
What is the remainder when 1117 is divided by 14?
11
What is the remainder when 301 is divided by 112?
77
What is the remainder when 556 is divided by 191?
174
What is the remainder when 49 is divided by 17?
15
Calculate the remainder when 507 is divided by 85.
82
What is the remainder when 569 is divided by 152?
113
Calculate the remainder when 164 is divided by 52.
8
Calculate the remainder when 51 is divided by 24.
3
Calculate the remainder when 81 is divided by 26.
3
Calculate the remainder when 159 is divided by 31.
4
Calculate the remainder when 15 is divided by 15.
0
Calculate the remainder when 101 is divided by 65.
36
What is the remainder when 348 is divided by 22?
18
Calculate the remainder when 151 is divided by 31.
27
Calculate the remainder when 562 is divided by 21.
16
Calculate the remainder when 1084 is divided by 35.
34
Calculate the remainder when 170 is divided by 54.
8
Calculate the remainder when 502 is divided by 37.
21
Calculate the remainder when 450 is divided by 13.
8
Calculate the remainder when 407 is divided by 34.
33
What is the remainder when 403 is divided by 134?
1
What is the remainder when 28 is divided by 10?
8
Calculate the remainder when 140 is divided by 73.
67
What is the remainder when 674 is divided by 672?
2
What is the remainder when 126 is divided by 19?
12
Calculate the remainder when 120 is divided by 22.
10
Calculate the remainder when 692 is divided by 87.
83
What is the remainder when 211 is divided by 113?
98
Calculate the remainder when 387 is divided by 54.
9
What is the remainder when 205 is divided by 71?
63
What is the remainder when 406 is divided by 34?
32
Calculate the remainder when 302 is divided by 28.
22
What is the remainder when 154 is divided by 6?
4
Calculate the remainder when 3318 is divided by 2.
0
What is the remainder when 1651 is divided by 72?
67
What is the remainder when 123 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
206?
109
What is the next term in -76, -137, -178, -181, -128, -1, 218, 547?
1004
What is the next term in 588, 1428, 2264, 3096, 3924, 4748, 5568?
6384
What is next in 440, 880, 1320, 1760, 2200, 2640?
3080
What is the next term in -2881, -5760, -8611, -11434, -14229, -16996, -19735?
-22446
What is the next term in 1411, 1513, 1809, 2395, 3367, 4821, 6853?
9559
What is the next term in -14936, -29868, -44800, -59732?
-74664
What is the next term in 99, 956, 3363, 8094, 15923, 27624?
43971
What comes next: -8848, -17661, -26474, -35287, -44100, -52913?
-61726
What comes next: -4531, -18129, -40793, -72523?
-113319
What comes next: -20, 21, 180, 511, 1068, 1905?
3076
What is the next term in 14, 54, 114, 182, 246?
294
What is the next term in 438, 1717, 3838, 6801?
10606
What is next in 76310, 152631, 228956, 305285?
381618
What is the next term in -20094, -40166, -60238, -80310?
-100382
What comes next: -74867, -74868, -74869?
-74870
What comes next: 1310, 1389, 1592, 1979, 2610, 3545, 4844?
6567
What comes next: -34281, -137187, -308703, -548835, -857589?
-1234971
What comes next: -895760, -1791518, -2687276, -3583034, -4478792, -5374550?
-6270308
What is next in -402, -2893, -9548, -22449, -43678, -75317, -119448, -178153?
-253514
What comes next: 37907, 75792, 113671, 151544, 189411?
227272
What is the next term in -197, -130, 55, 418, 1019, 1918?
3175
What comes next: -1594, -1540, -1446, -1312, -1138?
-924
What comes next: 514, 1033, 1556, 2077, 2590, 3089, 3568, 4021?
4442
What is next in -3950, -7914, -11880, -15848?
-19818
What is next in 5312, 9620, 13928?
18236
What is the next term in 24528, 49051, 73574?
98097
What comes next: -417, -443, -477, -519?
-569
What is the next term in 45961, 45972, 45997, 46042, 46113, 46216, 46357?
46542
What is next in 28177, 112762, 253745, 451132, 704929, 1015142?
1381777
What is the next term in -320, -683, -1078, -1505?
-1964
What is next in 2239, 2238, 2235, 2230, 2223?
2214
What is the next term in -663, -670, -675, -678, -679, -678?
-675
What is the next term in -33, 4, 89, 240, 475, 812, 1269, 1864?
2615
What is next in 7, 3, 5, 13, 27, 47?
73
What is the next term in 672, 841, 1022, 1221, 1444, 1697, 1986, 2317?
2696
What comes next: -3676, -3625, -3560, -3475, -3364, -3221, -3040, -2815?
-2540
What comes next: 10493, 21004, 31533, 42080, 52645?
63228
What is the next term in -108, -369, -800, -1401?
-2172
What comes next: 7413, 7396, 7379?
7362
What is next in 566, 2297, 5190, 9251, 14486, 20901?
28502
What comes next: -890, -873, -856, -839, -822?
-805
What is next in -26, -95, -212, -377, -590?
-851
What is the next term in 15983, 15975, 15953, 15911, 15843, 15743, 15605, 15423?
15191
What is the next term in 56019, 56025, 56035, 56049, 56067, 56089, 56115?
56145
What is the next term in 6642, 26531, 59680, 106089, 165758?
238687
What is the next term in -88982, -177961, -266940, -355919?
-444898
What comes next: 149, 560, 1223, 2138, 3305?
4724
What is the next term in 4976, 4572, 4168, 3764, 3360, 2956?
2552
What comes next: 207, 1495, 4953, 11667, 22723, 39207, 62205, 92803?
132087
What is next in -322067, -322065, -322063, -322061, -322059, -322057?
-322055
What comes next: -511, -986, -1463, -1942, -2423?
-2906
What is next in -273, -512, -751?
-990
What is the next term in -240, -574, -928, -1314, -1744?
-2230
What is next in -174, -1194, -3896, -9120, -17706?
-30494
What is next in -768, -3115, -7066, -12645, -19876?
-28783
What is the next term in -826, -1050, -1658, -2842, -4794, -7706?
-11770
What is next in 121411, 242822, 364233, 485644, 607055, 728466?
849877
What is next in 2950, 11825, 26616, 47323, 73946?
106485
What is the next term in -504, -839, -1704, -3351, -6032?
-9999
What is the next term in 194680, 194678, 194676, 194674, 194672?
194670
What comes next: 120120, 120099, 120068, 120021, 119952, 119855?
119724
What is the next term in -1641, -1687, -1733, -1779, -1825?
-1871
What is next in 96, 328, 954, 2172, 4180, 7176?
11358
What is next in 8327, 9059, 10273, 11963, 14123, 16747, 19829?
23363
What is next in 3400, 2854, 1952, 700, -896, -2830?
-5096
What is next in -1480, -1472, -1460, -1444, -1424, -1400?
-1372
What is the next term in -1307, -2129, -2949, -3767?
-4583
What is next in -1108, -1129, -1150?
-1171
What is next in -3050, -6130, -9260, -12464, -15766, -19190?
-22760
What comes next: 93, 368, 821, 1452, 2261, 3248?
4413
What is the next term in 704, 384, 100, -130, -288?
-356
What comes next: 519, 2079, 4689, 8355, 13083?
18879
What comes next: -44067, -44070, -44073, -44076, -44079, -44082?
-44085
What comes next: -863, -2211, -3559, -4907, -6255, -7603?
-8951
What comes next:
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4. Calculate the highest common divisor of a and 15.
15
Let m be ((-126)/84)/(1/((-14)/3)). Calculate the highest common divisor of 35 and m.
7
Let g = -224 + 226. What is the highest common divisor of 80 and g?
2
Suppose -3*l = 3*p + p - 28, 0 = -4*l. Calculate the highest common factor of p and 35.
7
Suppose 95*q = 88*q + 504. Suppose -4*d - 10 - 34 = -3*j, -d - 45 = -5*j. What is the highest common divisor of q and j?
8
Let v(i) = 6*i + 5. Let w be v(5). Suppose 0*u + 6 = 3*u. Let m be (-5)/u*(-5 + 3). Calculate the highest common factor of w and m.
5
Suppose 64*b - 68*b + 180 = 0. What is the highest common divisor of b and 225?
45
Let u(i) = -23*i - 17*i + 41*i + i**2 - 14 - 12. Let w be u(5). What is the highest common factor of w and 40?
4
Suppose -u + 5*l + 11 = 0, -3*u + 6*l = 2*l. Let c be (-3 - -12)*(-4)/(-36). Let j be (-7696)/(-64) + c/u. Calculate the greatest common divisor of j and 48.
24
Suppose 160 = -301*o + 309*o. What is the highest common divisor of o and 2500?
20
Let y be ((-8 - -1)/1 + 1)*-6. Let p = -3 + 2. Let o be (91*1 - p) + -2. What is the greatest common divisor of y and o?
18
Let l be 1986*(-4)/(-18) - 1/3. Let v = l - 224. Calculate the highest common factor of 31 and v.
31
Suppose -4*f + 4*y = -y - 310, 4*f + 2*y = 296. Let c(j) = -4*j - 66. Let g be c(-24). What is the greatest common divisor of f and g?
15
Let w(l) = l + 2. Let o be w(-2). Let j be (-12 - (o + -3))*-1. Calculate the highest common divisor of 27 and j.
9
Suppose -13*x + 1044 - 199 = 0. Let l(n) = -n**3 - 7*n**2 - 6*n + 5. Let q be l(-6). Calculate the highest common divisor of q and x.
5
Let f(n) = -n**3 - 16*n**2 + 18*n + 17. Let i be f(-17). Suppose i = o - 8 - 1. What is the highest common factor of o and 9?
9
Let z = 87 - 171. Let u = z - -97. What is the highest common factor of u and 52?
13
Suppose -3*f - 25 = -3*t + f, -5*t = -4*f - 31. Suppose 60 = 5*l + 5*a, -18 + 3 = -t*a. Calculate the greatest common divisor of l and 63.
7
Suppose 2*d = -4*w + 4168, d = w - 5*w + 4172. Calculate the greatest common divisor of w and 36.
36
Let r = 132 - -678. Calculate the highest common factor of r and 30.
30
Let n = 224 - 147. Calculate the highest common divisor of n and 88.
11
Let d = -182 - -245. Let g = 2 - 2. Suppose 3*q = -3*h + 33, g = -0*q - q + 2. What is the greatest common divisor of h and d?
9
Let k be ((-6)/4)/((-6)/180). Let n(q) = -7*q - 227. Let b be n(-35). Calculate the highest common divisor of k and b.
9
Let p(w) = -22*w**3 - 2*w. Let n be p(-1). Calculate the greatest common divisor of n and 312.
24
Suppose 0 = 5*j - 227 - 33. Suppose 5*x + 0*b = 4*b + 133, 2*x - b - j = 0. What is the greatest common divisor of x and 75?
25
Suppose -a + 30 = 5*w + 79, 3*w + 119 = -2*a. Let l = 68 + a. What is the greatest common factor of 44 and l?
4
Let p = -418 - -1012. Calculate the highest common factor of p and 12.
6
Suppose -1916 - 2116 = -7*p. Calculate the highest common factor of p and 9.
9
Let y(m) = 4*m - 22. Let q be y(8). Let p be ((-3)/(-1))/((-3)/(-30)*3). Calculate the highest common divisor of p and q.
10
Let a(d) = d**3 + 14*d**2 - 17*d - 6. Let z be a(-15). Suppose h - z = -h. What is the greatest common divisor of h and 60?
12
Suppose 54*i - 19*i - 120 = 27*i. Suppose 98 - 638 = -4*k. Calculate the greatest common divisor of k and i.
15
Let x(k) = -4*k**2 + 82*k + 2. Let q be x(18). Calculate the greatest common divisor of q and 126.
14
Let r be -7*(-3 + -3 + 5). Let n(k) = k**2 - 4*k - 12. Let p be n(r). Calculate the greatest common factor of 54 and p.
9
Let y = -95 + 113. What is the greatest common divisor of y and 16?
2
Let q be (-4)/(-22) - (575262/99)/(-18). Calculate the highest common factor of 17 and q.
17
Let q be 1/(0 - 3/(-123)). Suppose -3*s = -i - i - 138, s - q = -i. Suppose 5*o - o - s = -t, -o - t + 8 = 0. Calculate the greatest common divisor of o and 84.
12
Let a = -1694 + 1698. Calculate the highest common factor of a and 164.
4
Let s = 25 - 15. Let f = 26 - -63. Suppose 0 = r - 3*w - f, 46 - 123 = -r - w. Calculate the greatest common factor of r and s.
10
Let j(y) be the second derivative of -y**4/12 + 17*y**3/6 - 2*y**2 + 13*y. Let g be j(13). What is the greatest common divisor of g and 120?
24
Suppose -2*x - t - 65 = 0, 4*t = 5*x + 119 + 76. Let v = -22 - x. What is the highest common factor of v and 13?
13
Suppose 2*p = 5 + 75. Suppose 7*g - 82 + p = 0. Calculate the highest common factor of 30 and g.
6
Let m(o) be the second derivative of -5*o**3/6 - 69*o**2/2 + 47*o. Let t be m(-14). What is the highest common factor of t and 8?
1
Let x be (-16)/(-28) + 465/7. What is the highest common divisor of 1809 and x?
67
Let f(j) = 17*j + 1. Let g be f(1). Let h = 688 + -1048. Let p be (h/(-21))/((-2)/(-21)). Calculate the greatest common divisor of p and g.
18
Let x be (1/(-3))/((-1)/12 - 0). Suppose 2*n - x*z - 112 = -0*n, 4*n + 3*z - 268 = 0. Let b be (-4)/(((-6)/8)/3). What is the highest common divisor of n and b?
16
Suppose 2*j - 115 + 13 = -3*z, -5*j - z = -229. Let d be 24/(-44) - 2040/(-110). Calculate the highest common factor of j and d.
9
Suppose -b - 8 + 61 = 0. Suppose -b = -4*r + 5*w, 3*w = 2*r - 41 + 14. Let q = r + -7. What is the greatest common divisor of 10 and q?
5
Let y = -368 - -458. What is the greatest common factor of 330 and y?
30
Let i(y) = 26*y - 990. Let s be i(39). Suppose -3*c + 17 + 79 = 0. Calculate the highest common divisor of s and c.
8
Let q(i) = 3*i**
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 12:14 AM and 1:23 AM?
69
How many minutes are there between 8:26 PM and 8:10 AM?
704
What is 386 minutes before 1:26 AM?
7:00 PM
What is 708 minutes after 12:41 AM?
12:29 PM
What is 644 minutes after 5:35 AM?
4:19 PM
How many minutes are there between 1:19 AM and 8:20 AM?
421
What is 265 minutes after 8:29 PM?
12:54 AM
How many minutes are there between 1:27 AM and 4:41 AM?
194
How many minutes are there between 4:50 PM and 7:22 PM?
152
What is 136 minutes after 12:10 PM?
2:26 PM
What is 657 minutes after 1:43 PM?
12:40 AM
What is 360 minutes after 10:27 PM?
4:27 AM
How many minutes are there between 1:03 AM and 5:56 AM?
293
What is 252 minutes after 4:03 PM?
8:15 PM
How many minutes are there between 8:50 PM and 9:44 PM?
54
What is 50 minutes before 6:37 PM?
5:47 PM
What is 704 minutes before 3:07 AM?
3:23 PM
How many minutes are there between 3:47 AM and 10:18 AM?
391
What is 302 minutes before 2:05 PM?
9:03 AM
How many minutes are there between 12:08 PM and 9:28 PM?
560
What is 391 minutes after 12:41 PM?
7:12 PM
What is 293 minutes after 9:01 AM?
1:54 PM
How many minutes are there between 10:43 AM and 1:28 PM?
165
What is 402 minutes before 9:49 AM?
3:07 AM
What is 191 minutes before 7:40 PM?
4:29 PM
How many minutes are there between 10:16 PM and 10:01 AM?
705
What is 669 minutes before 11:09 PM?
12:00 PM
What is 318 minutes after 7:37 AM?
12:55 PM
What is 371 minutes after 2:38 PM?
8:49 PM
How many minutes are there between 7:00 AM and 6:01 PM?
661
What is 77 minutes after 10:18 AM?
11:35 AM
What is 528 minutes before 9:46 PM?
12:58 PM
What is 12 minutes before 11:16 AM?
11:04 AM
What is 538 minutes before 5:46 AM?
8:48 PM
What is 372 minutes before 4:58 PM?
10:46 AM
How many minutes are there between 7:33 PM and 7:22 AM?
709
What is 618 minutes before 8:34 PM?
10:16 AM
How many minutes are there between 4:39 AM and 4:11 PM?
692
How many minutes are there between 4:41 AM and 11:29 AM?
408
What is 62 minutes before 2:32 PM?
1:30 PM
How many minutes are there between 11:32 AM and 12:32 PM?
60
How many minutes are there between 5:23 PM and 6:23 PM?
60
What is 400 minutes after 3:46 PM?
10:26 PM
How many minutes are there between 2:56 AM and 2:14 PM?
678
How many minutes are there between 3:42 PM and 7:33 PM?
231
What is 325 minutes after 2:02 PM?
7:27 PM
What is 359 minutes after 4:34 PM?
10:33 PM
How many minutes are there between 12:46 AM and 11:04 AM?
618
How many minutes are there between 1:28 PM and 2:50 PM?
82
What is 581 minutes before 7:07 AM?
9:26 PM
What is 63 minutes before 4:17 AM?
3:14 AM
What is 19 minutes after 3:30 AM?
3:49 AM
How many minutes are there between 8:54 PM and 10:24 PM?
90
How many minutes are there between 4:54 PM and 6:55 PM?
121
How many minutes are there between 11:55 PM and 10:20 AM?
625
How many minutes are there between 12:01 AM and 9:48 AM?
587
What is 204 minutes after 3:02 PM?
6:26 PM
How many minutes are there between 1:51 AM and 4:44 AM?
173
How many minutes are there between 6:14 AM and 10:39 AM?
265
What is 341 minutes after 3:52 PM?
9:33 PM
How many minutes are there between 10:30 PM and 7:14 AM?
524
How many minutes are there between 1:43 PM and 9:31 PM?
468
How many minutes are there between 5:28 PM and 6:20 PM?
52
What is 630 minutes after 10:49 AM?
9:19 PM
What is 398 minutes after 10:33 AM?
5:11 PM
How many minutes are there between 5:46 PM and 11:23 PM?
337
What is 76 minutes before 6:16 PM?
5:00 PM
What is 416 minutes before 12:45 PM?
5:49 AM
How many minutes are there between 3:41 PM and 3:47 PM?
6
How many minutes are there between 12:57 AM and 10:03 AM?
546
How many minutes are there between 11:17 AM and 11:06 PM?
709
How many minutes are there between 7:09 AM and 4:45 PM?
576
How many minutes are there between 12:31 PM and 9:50 PM?
559
How many minutes are there between 8:45 PM and 1:19 AM?
274
What is 530 minutes after 2:54 AM?
11:44 AM
What is 672 minutes before 12:11 PM?
12:59 AM
How many minutes are there between 10:51 PM and 1:25 AM?
154
What is 170 minutes after 4:01 PM?
6:51 PM
What is 587 minutes before 6:33 PM?
8:46 AM
How many minutes are there between 12:19 AM and 3:42 AM?
203
What is 98 minutes after 9:54 PM?
11:32 PM
How many minutes are there between 10:11 PM and 12:18 AM?
127
How many minutes are there between 12:18 PM and 9:02 PM?
524
How many minutes are there between 5:19 AM and 8:41 AM?
202
How many minutes are there between 6:35 AM and 3:25 PM?
530
How many minutes are there between 11:50 AM and 2:37 PM?
167
What is 270 minutes before 12:04 AM?
7:34 PM
What is 627 minutes before 1:12 AM?
2:45 PM
What is 250 minutes before 7:26 PM?
3:16 PM
How many minutes are there between 6:58 AM and 6:15 PM?
677
What is 4 minutes after 6:47 AM?
6:51 AM
What is 156 minutes after 12:02 PM?
2:38 PM
What is 576 minutes after 3:35 AM?
1:11 PM
How many minutes are there between 11:10 PM and 1:31 AM?
141
How many minutes are there between 9:33 PM and 2:03 AM?
270
What is 538 minutes before 2:16 PM?
5:18 AM
What is 646 minutes after 9:25 PM?
8:11 AM
What is 366 minutes before 12:06 AM?
6:00 PM
How many minutes are there between 9:56 PM and 2:58 AM?
302
What is 502 minutes after 11:56 PM?
8:18 AM
What is 283 minutes after 10:31 AM?
3:14 PM
What is 300 minutes before 12:19 AM?
7:19 PM
What is 468 minutes after 7:27 PM?
3:15 AM
What is 560 minutes after 5:35 AM?
2:55 PM
How many minutes are there between 2:00 PM and 3:22 PM?
82
What is 697 minutes after 6:26 PM?
6:03 AM
How many minutes are there between 12:43 AM and 6:01 AM?
318
How many minutes are there between 6:54 AM and 5:41 PM?
647
How many minutes are there between 4:30 PM and 8:42 PM?
252
How many minutes are there between 3:26 PM and 2:54 AM?
688
How many minutes are there between 4:00 PM and 1:06 AM?
546
What is 67 minutes before 5:44 PM?
4:37 PM
How many minutes are there between 12:23 PM and 4:33 PM?
250
How many minutes are there between 5:57 PM and 6:17 PM?
20
What is 402 minutes after 9:03 AM?
3:45 PM
How many minutes are there between 9:41 PM and 1:03 AM?
202
What is 439 minutes after 8:52 AM?
4:
|
{
"pile_set_name": "DM Mathematics"
}
|
*f wrt f.
-774*f
Suppose -27*g = 17*g + 41 - 41. Let a(t) be the first derivative of -t + 16 + 0*t**2 + g*t**3 + 9/4*t**4. What is the derivative of a(j) wrt j?
27*j**2
Let n be (0/1*(61 + -60))/5. Let v(i) be the first derivative of 7 + n*i**3 + i**2 - 1/2*i**4 + 0*i. Find the second derivative of v(a) wrt a.
-12*a
Let g(k) = -15757*k**3 - 17788*k. Let u(i) = -5252*i**3 - 5929*i. Let r(d) = -4*g(d) + 11*u(d). What is the second derivative of r(x) wrt x?
31536*x
Let p(o) = 2106*o**3 + 2*o**2 - 2*o + 989. Let u(t) = 4*t**3 + t**2 - t + 6. Let j(n) = p(n) - 2*u(n). What is the first derivative of j(y) wrt y?
6294*y**2
Let c(x) = 4*x + 12. Let s be c(-6). Let h be (-322)/s - (0 + (-5)/30). What is the third derivative of 40*d**4 - h + 11 - 39*d**2 + 16 wrt d?
960*d
Let y(o) be the first derivative of 2453*o**4/2 + 3595*o**3/3 + 2927. Find the third derivative of y(j) wrt j.
29436
Suppose -5*r + 20 = -v, 2*r = -v + 21 - 13. Find the second derivative of -7 + 23 + a - r*a + 9 + 161*a**2 + 14*a**2 wrt a.
350
Let z be (13 - 375/30) + (-179)/(-2). Differentiate -6 + 6 - 56 + 11 - z - 179*b**4 wrt b.
-716*b**3
Suppose -8*f + 9*f + 1 = 2*k, 3*k = -3*f + 15. What is the second derivative of 160*b**3 - 279*b**f + 155*b**3 + 56*b - b wrt b?
216*b
Let k(v) be the third derivative of 0*v**3 - 3*v**2 + 13 + 0*v**4 + 0*v - 43/60*v**6 + 1/105*v**7 - 11/30*v**5. Find the third derivative of k(h) wrt h.
48*h - 516
Find the third derivative of -22878 - 22878 + 2*o**2 + 45756 + 3908*o**3 + 9437*o - 3*o**2 wrt o.
23448
What is the third derivative of 61898887 - 4108*n**2 - 61898887 + 5438*n**3 wrt n?
32628
Suppose -97*q - 35 = -104*q. Find the third derivative of 4*b**3 - 176 + 8*b**3 + 55*b**2 + 2*b**q + 176 wrt b.
120*b**2 + 72
Let j(n) be the second derivative of -7*n**6/30 - 21*n**3/2 + 316*n**2 + 1779*n + 2. Find the first derivative of j(r) wrt r.
-28*r**3 - 63
Let u(x) be the first derivative of -548*x**5/5 - 628*x**3/3 + 45. Find the third derivative of u(q) wrt q.
-13152*q
Let a be 15/(-30) - 37/(-2). Let i = a + 13. Differentiate 70*t**2 - i*t**4 - 3 - 70*t**2 wrt t.
-124*t**3
What is the derivative of 0*z**3 + 3229*z + 9*z**3 - z**2 - 3312*z - 8*z**3 - 10495 wrt z?
3*z**2 - 2*z - 83
Suppose 0 + 14 = q - 3*a, 10 = 3*q - a. Find the second derivative of -134*k + 1348*k**2 - 14*k**4 - 1350*k**q + 33*k wrt k.
-168*k**2 - 4
Let b(a) be the third derivative of -a**6/120 - 911*a**5/60 - a**4/24 + 1664*a**3/3 - 2*a**2 + 383. Differentiate b(t) with respect to t.
-3*t**2 - 1822*t - 1
Let a(w) = -6*w - 32. Let x be a(-19). Let u = x - 69. What is the second derivative of -10*h - u*h - 6*h**3 + 20*h**5 + 6*h**3 wrt h?
400*h**3
Suppose 5*w + 13 = -3*i + 10*w, -5 = -w. Find the third derivative of -51*k**4 + 0*k**i - 117*k**4 + 67*k**2 wrt k.
-4032*k
Let a = 781 + -775. Let x = 20 + -9. Find the first derivative of a*r + 9*r - 13*r - x wrt r.
2
What is the third derivative of -370*f**2 + 372*f**2 + 7*f**4 + 64*f**3 + 790*f - 66*f**3 + 1228*f**4 wrt f?
29640*f - 12
Let o(r) = 7*r - 11*r + 6*r - 7. Let g be o(5). What is the first derivative of 28 - 25*q**g + 9*q - 7*q - 2*q wrt q?
-75*q**2
Let g(t) be the first derivative of -t**6/3 - 6143*t**4/4 - t**2/2 + 532*t + 9158. What is the second derivative of g(r) wrt r?
-40*r**3 - 36858*r
What is the second derivative of -150*o - 725*o**2 - 795*o + 144*o**2 - 196*o**2 wrt o?
-1554
Let w(h) = -2280*h**2 + 45*h - 21. Let i(j) = -7*j**2 + 1. Let o(v) = -3*i(v) + w(v). Find the second derivative of o(q) wrt q.
-4518
Let z(c) = 2*c + 34. Let i be z(-14). Let l be (-39)/(-6) - i/4. Find the second derivative of r**l - 6*r + 0*r**3 + 0*r**3 + 0*r wrt r.
20*r**3
Suppose -7 = 3*z + 32. Let x = 15 + z. Differentiate -3*g**4 + 8*g**4 + x*g**4 - 13 + 2 wrt g.
28*g**3
Suppose 3*n = 4*g - 0 + 3, 4*n - g = 17. Let j be 38160/52 - 4/(-26). Find the third derivative of -734*v - n*v**2 + j*v + 3*v**4 wrt v.
72*v
Let k(b) be the second derivative of 3*b + 21/4*b**4 + 0*b**5 + 0*b**7 + 0*b**3 + 0*b**6 - 8 + 0*b**2 - 37/56*b**8. What is the third derivative of k(g) wrt g?
-4440*g**3
What is the second derivative of 127835 - 127835 - 1164*j**2 + 665*j wrt j?
-2328
Let x(d) be the third derivative of 227*d**7/105 - d**5/30 - d**4/12 - 59*d**3/3 - 1264*d**2. What is the second derivative of x(i) wrt i?
5448*i**2 - 4
What is the third derivative of 63*k + 24*k**3 + 4 + 2*k**2 + 3*k**4 + 8*k**5 - 84*k - 9*k**5 - k**5 + 100*
|
{
"pile_set_name": "DM Mathematics"
}
|
b = 0. Let y be (-2)/8 + (-7755)/(-44). Calculate the greatest common divisor of x and y.
22
Let r = -109 - -239. Let o(a) = 5*a**2 + 221*a + 57. Let t be o(-44). What is the highest common factor of t and r?
13
Let q be ((-4)/4)/(-1) + 2. Suppose -2*z + 110 = q*z. What is the greatest common factor of 88 and z?
22
Let m = 387 - 349. What is the highest common divisor of m and 95?
19
Suppose -5*r + 20 = -3*r. Let w be 4/12*(-3 + 153). Calculate the highest common divisor of w and r.
10
Suppose 5*r = -r + 96. Suppose -12*c - 400 = -r*c. Suppose 4*w - 15 = 25. What is the highest common factor of w and c?
10
Let k be ((-14)/3)/(2/(-30)). Let g(j) = -j**2 + 10*j - 14. Let p be g(4). Calculate the highest common factor of p and k.
10
Let i = -41 + 2. Let a = i + 69. Let q = -199 - -209. What is the highest common factor of a and q?
10
Suppose 31 = 5*g - 4*o, -o - 3 = 1. Suppose -g*u - 4 = -n + 10, 2 = -n - u. Let t = 10 - -8. What is the greatest common divisor of t and n?
2
Suppose -4*s = -3*s - 9. Suppose 0 = v + 21*v - 4840. Suppose -5*w = -6 + 26, 0 = -3*x + w + v. What is the highest common divisor of s and x?
9
Let w be ((-16)/(-12))/(2/21). Suppose 7 + w = u. What is the highest common factor of u and 3?
3
Suppose -37*b + 32*b - 5*n = -215, -207 = -4*b + 3*n. Suppose -114 + 314 = 5*u. Let c = 56 - u. What is the greatest common factor of c and b?
16
Let o(l) = 3*l**2 + 5*l + 4. Let t be o(-3). What is the greatest common factor of 2 and t?
2
Suppose -3*j + b = -37, 2*j - 4*b - 16 + 8 = 0. Calculate the greatest common factor of j and 686.
14
Let g = -16 + 8. Let a be (g/(0 + 2))/((-2)/8). Calculate the greatest common divisor of 12 and a.
4
Suppose -a = 4*l - 76, l + 5 = 4. Let q(y) = y**3 - 4*y**2 - 4*y + 10. Let o be q(5). Let p be 50/o*(0 + 3). Calculate the highest common divisor of a and p.
10
Let f be (1/(-2))/(22/(-7436)). Suppose 2*x - f = 7. Calculate the greatest common factor of x and 11.
11
Let r(w) = w**2 - 11*w + 12. Let p be r(10). Let d be (10/4 - p)*(77 + 13). Calculate the highest common divisor of 45 and d.
45
Let d(c) = 2*c**2 + 6*c + 2. Let s be d(-8). Let b = -81 + s. Calculate the highest common divisor of 3 and b.
1
Let z(v) = v**2 - 1. Let n be -9*(0 + (-8)/(-12)). Let j be z(n). What is the greatest common factor of j and 14?
7
Let o be 8/52 - (-6360)/65. Suppose -3*a = 2*i - 0*i - 38, -a + 12 = i. What is the highest common divisor of o and a?
14
Let t = -16 - -18. Suppose -5*s - 3*a + 81 = -6*a, -t*s = 3*a - 24. What is the greatest common divisor of 165 and s?
15
Suppose 0 = 2*n + 3*z - 65, 0*n = 5*n + 3*z - 167. Let w = -50 + n. Let r = w - -50. Calculate the greatest common divisor of 51 and r.
17
Let o(b) = -b**3 - 14*b**2 + 12*b + 17. Let y be o(-14). Let v = y + 259. What is the greatest common divisor of v and 12?
12
Let j = -6 + 9. Suppose 3*i - 16 = 5*v, -i - j*v = -0*v + 4. Let f be -2 + 4/2 + -2 + 14. Calculate the highest common divisor of f and i.
2
Suppose -5*x + v - 72 = 0, -32 = 2*x + x + 5*v. Let u = 18 + -14. Let c be 1252/28 - u/x. Calculate the highest common factor of c and 5.
5
Let g(z) = 3*z + 308. Let y(l) = -l - 103. Let c(i) = 4*g(i) + 11*y(i). Let u be c(0). Let v be 94/10 - 4/10. Calculate the highest common factor of v and u.
9
Suppose -1500 = -14*k - k. Calculate the highest common factor of 70 and k.
10
Let f be (-44)/693*-7 - (-1832)/9. Calculate the greatest common factor of 12 and f.
12
Let o(v) be the first derivative of v**3/3 - v**2/2 + 20*v - 35. Let u be o(6). Calculate the highest common divisor of u and 25.
25
Let k = 78 - 26. Suppose -39 = -3*w + 6*w. Let t be w*1/(-1)*1. Calculate the greatest common divisor of k and t.
13
Let t(b) = -b**2 + 12*b - 3. Let k be t(9). Let y = -30 + k. Let h = 12 - y. Calculate the greatest common divisor of h and 6.
6
Let q be (819/(-28))/13*(-3 + -141). Calculate the highest common divisor of 252 and q.
36
Let y be -6 + 2 - (-18 + -38). What is the greatest common divisor of y and 130?
26
Suppose 4*b = 134 + 82. What is the greatest common divisor of b and 270?
54
Let t = 127 + -109. Let b be 8/(-1 + 3)*18. Calculate the highest common divisor of b and t.
18
Let j be 24/(3 - (1 - 4/(-4))). What is the highest common divisor of 9 and j?
3
Let f(b) = -5*b + 18. Let q be f(8). Let z = q + 33. What is the greatest common factor of z and 110?
11
Let k = 1238 - 1142. What is the greatest common divisor of 1200 and k?
48
Suppose -5*g = 4*b + 688, -3*g + b = -4*g - 137. Let n be 474/7 + (-5)/(g/8). Calculate the greatest common divisor of 4 and n.
4
Let l be (-206)/(-10) - 6/(-15). Let k be (12/l)/((-8)/(-28)). Suppose 4*b = w - 5*w + 436, 5*w = k*b - 239. Calculate the greatest common factor of 16 and b.
16
Let i = -576 - -632. Calculate the greatest common factor of i and 154.
14
Let p(x) = -16*x - 94. Let r be p(-6). Suppose -9 = -3*w - 0*w. Suppose w*v + 5*f = -0 + 23, -f - 21 = -v. What is the greatest common factor of v and r?
2
Let v = 36 + -32. Suppose 0 = 4*k - v + 24, -5*d = 2*k - 515. What is the greatest common factor of d and 42?
21
Suppose -23*t + 4 = -27*t, -1077 = -4*q - 3*t. Calculate the greatest common factor of 162 and q.
54
Let f(b) = -3*b - 18. Suppose 0 = 3*j - 5*g + 56, j + 3*g + 4 = g. Let p be f(j). Calculate the highest common divisor of p and 9.
9
Let b(r) = -r**3 + 10*r**2 - 25*r
|
{
"pile_set_name": "DM Mathematics"
}
|
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