text
stringlengths 270
8.19k
| meta
dict |
|---|---|
e prime factors of w + 31/(-7) + 24/56?
3, 13
Suppose 723 = 7*x - 341. What are the prime factors of x?
2, 19
Suppose 7*h + 141696 = 103*h. What are the prime factors of h?
2, 3, 41
Let z = 73 + -49. Let r = 26 - z. What are the prime factors of r?
2
Suppose 3*d = -0*d + 108. Suppose -q + 3 = -d. List the prime factors of q.
3, 13
Let x = -944 - -1625. List the prime factors of x.
3, 227
Let w be 6 + (2 - -4)/3. Let c(f) = f**3 - 4*f**2 - 6*f - 7. Let i be c(5). What are the prime factors of i/16 + 38/w?
2
Let p be 2/(-5) - (-6)/(-10). What are the prime factors of 8*19 - (p + 1)?
2, 19
Let m(s) = -176*s - 337. List the prime factors of m(-6).
719
Let q(n) = -n + 2. Let s be q(-4). Suppose -s - 2 = -4*r. Suppose r*m + 114 = 4*z, -2*z + 4*m + 39 = -z. What are the prime factors of z?
3
Let c(k) = -4*k - 11. Let v(s) = -11*s**2 - 9*s - 4. Let b(i) = 16*i**2 + 14*i + 6. Let j(w) = 5*b(w) + 8*v(w). Let d be j(-1). List the prime factors of c(d).
3, 7
Let d = 139 + -100. What are the prime factors of d?
3, 13
Suppose -3*l - 217 = -7. List the prime factors of (l/8)/(12/(-48)).
5, 7
Suppose -17 = -5*k - 7. Let h(i) = i**3 + 2*i**2 - 3*i - 1. Let z(p) = -6*p**3 + 9*p**2 - 7*p - 6. Let q(w) = 4*h(w) - z(w). What are the prime factors of q(k)?
2, 17
Let f = 154 + 39. Suppose 787 = 18*r + f. What are the prime factors of r?
3, 11
Let d(v) = -v**2 + 4*v + 9. Let w be d(5). Suppose 0 = w*f + 45 - 153. List the prime factors of f.
3
Suppose 0 = -3*d + 4*l - 53, 2*l - 63 = 5*d + 44. Let m = d - -24. List the prime factors of (2 + m)/3 - -31.
2
Suppose 3*s - 6 = 9. Suppose -s*i + d = -74, -3*i - 5*d + 23 = 1. List the prime factors of i.
2, 7
Suppose -x + 4*n + 1 = 5*n, 2*x - 2*n = -14. Let z(a) = -52*a + 3. List the prime factors of z(x).
3, 53
List the prime factors of 4 - -4 - 6 - (0 - 82).
2, 3, 7
Let o = -1996 + 5152. List the prime factors of o.
2, 3, 263
Let s = -45 + 6. Let o = s + 135. List the prime factors of o.
2, 3
Suppose -20*m = 5*m - 59275. What are the prime factors of m?
2371
Suppose 4*j = -2*k + 68, -j = 3*k - 3*j - 62. Suppose 0 = -q + k + 41. What are the prime factors of q?
5, 13
Suppose -6*r + 432 = -2*r. Let l be (8/(-20))/((-2)/25). Suppose 0 = l*d + 12 + 3, 3*d = 3*z - r. List the prime factors of z.
3, 11
Let a(g) = 66*g - 52. List the prime factors of a(9).
2, 271
Let a = -8 + -2. Let u = 13 + a. Suppose 4*q = -2*c + 122, -2*q - 207 = -0*c - u*c. What are the prime factors of c?
67
Suppose -4*u + 3*c = -43 - 34, 0 = 3*c - 3. Suppose -11*y + 16*y - u = 0. Suppose y*q - 82 = a + 31, 3*a = -3*q + 66. List the prime factors of q.
3
Let k be (-68)/(-18) + (-10)/(-45). Let p(v) = 0*v + k + v + v + 9*v. What are the prime factors of p(4)?
2, 3
Let w be 2*4167*2/3. Let b be w/66 - 2/11. Suppose -4*k + 6*k = b. What are the prime factors of k?
2, 3, 7
Suppose 44*v - 39*v - 1205 = 0. What are the prime factors of v?
241
Let a(r) be the second derivative of -r**3/3 - r**2/2 + 6*r. Suppose -4*j + 4*s = 68, 2*s = j - 6*j - 50. What are the prime factors of a(j)?
23
Let x(s) = 1. Let y(q) = -3*q - 4. Let z(n) = -3*x(n) - y(n). Let o = 506 + -500. What are the prime factors of z(o)?
19
Let r(t) = 2*t**2 - 15*t - 8. Let w be r(8). Suppose w = 4*g - 9*g. Suppose -s + 20 + 2 = g. List the prime factors of s.
2, 11
Suppose 18*k - 15*k = 3. Let u be (k + 1 - 1) + 6. Let h = 13 + u. What are the prime factors of h?
2, 5
Let x = -310 + 438. Suppose 352 = 8*g - x. What are the prime factors of g?
2, 3, 5
Let n(v) = 4*v - 1. Let o be n(8). Suppose -5*q - 11 = -o. Suppose q*g - 14 = -2, 0 = 3*s - 3*g - 96. What are the prime factors of s?
5, 7
Suppose 4*p = -5*x - 0*x + 6870, 5*x = 5*p + 6915. List the prime factors of x.
2, 13, 53
Let g = -183 - -228. What are the prime factors of g?
3, 5
Suppose 2687 = 5*b + 3*m, -5*m + 3070 - 385 = 5*b. What are the prime factors of b?
2, 269
Let p = 221 - 193. List the prime factors of p.
2, 7
Let d(b) = b**2 - 3*b - 5. Let r be d(4). Let f = 1 + r. Suppose -3*l + 104 = -x - f*x, 3*x = -4*l + 143. List the prime factors of l.
5, 7
Suppose 2*q = 3*q. Suppose q = 3*d - d. Suppose 5*i - 4*s - 93 = d, 0*i + i = -s + 15. What are the prime factors of i?
17
Suppose 13380 = -51*u + 81*u. List the prime factors of u.
2, 223
Let p(n) = -5*n - 44. Let q be p(-19). What are the prime factors of q*1/((-3)/(-2))?
2, 17
Let o(n) = -n + 2. Let v be o(5). Let r be 6/((-388)/132 - v). Let m = 148 - r. List the prime factors of m.
7
Suppose 7 = k + 29. List the prime factors of 149 + k - 4/(-1).
131
Let b be 3*12/(-9)*-1. Suppose b*g - 4 = 4. Suppose -g*v - o + 60 = 4*o, -5*v - 3*o + 131 = 0. What are the prime factors of v?
5
Suppose 22*y - 4446 = 9*y. List the prime factors of y.
2, 3, 19
Let c = -872 + 1246. List the prime factors of c.
2, 11, 17
Let u be -1 + -3 + (8 - 1). Suppose -2*w + 3*v = 3, -u*v + 39 = 4*w - 0*w. List the prime factors of w/10*(6 + -1).
3
Let w(t) be the first derivative of t**3 + 3*t**2 + 9*t + 13. What are the prime factors of w(5)?
2, 3, 19
Let a(p) be the third derivative of -5*p**4/8 - 5*p**3/3 - 13*p**2. What are the prime factors of a(-3)?
5, 7
Suppose -5*g + 3*w + 1173 = 0, -5*g + 3*g - w + 478 = 0. List the prime factors of g.
3, 79
Let y be 12/(2 - -2 - 2). Suppose 0 = -5*g - v - 2*v + 16, 4*v - 16 = -4*g. Suppose -5*h + 101 = -2*s, -y = -g*h + 5*s + 26. List the prime factors of h.
3, 7
Suppose -4 = 5*h + 11. Let o = 124 - 122. What are the prime factors of (8/h)/(o/(-36))?
2, 3
Suppose i - 19 = -5*t, -3*i - t + 3*t + 6 = 0. What are the prime factors of 147/6 + (-2)/i?
2, 3
Let u(p) = p**2 - 22*p + 20. Let d be -1*10*132/(-55). What are the prime factors of u(d)?
2, 17
Let u(h) = -3*h + 3. Let t be u(5). What are the prime factors of t/(-30) - (-563)/5?
113
Suppose -24 = -3*p + 2*k - 7*k, 5*p - 6 = 3*k. Suppose p*o = -2*z + 3 - 32, z = -o - 12. What are the prime factors of (-856)/(-56) + 2/z?
3, 5
Let v(c) = c - 1. Let q be v(3). Suppose q*s + 6 = 18. Let i = 16 - s. What are the prime factors of i?
2, 5
Let p(i) = 15*i - 113. List the prime factors of p(29).
2, 7, 23
What are the prime factors of 503 + 9/(27/(-12))?
499
Let r = 60 - 40. Suppose -2*w - r = -3*w - 5*f, 3*f - 12 = 0. Suppose 3*s = -w*n + n + 97, -s = -5*n - 51. List the prime factors of s.
31
Suppose -5*t = -2*x - 20 - 3, 4*x = -2*t - 10. List the prime factors of 161/t + (-3)/(-9).
2, 3
Suppose -f - 2 + 8 = 0. Let o = f + -6. Suppose o = -4*d - 2*r + 3*r + 78, 4*r + 52 = 3*d. List the prime factors of d.
2, 5
Let g(m) = -2*m**3 - 4*m**2 - 5*m - 8. Let r(t) = t**3 - 18*t**2 + 16*t + 14. Let k be r(17). What are the prime factors of g(k)?
5
Suppose 2*h = -59 - 25. List the prime factors of (2 + h)/((-2)/11).
2, 5, 11
Let t = 1574 - 20. List the prime factors of t.
2, 3, 7, 37
Suppose -2*a + 335 = -a + 4*y, 4*a + y = 1325. Let f = a - 220. What are the prime factors of f?
3, 37
Suppose 0 = 34*c - 38*c. Suppose -5*s - 4*q = -c*q - 1002, 3*s = -3*q + 603. List the prime factors of s.
2, 3, 11
Let z = -374 + 1181. List the prime factors of z.
3, 269
Let i(u) = u**3 + 3*u**2 + 15*u - 19. What are the prime factors of i(11)?
2, 5, 23
Let y(t) = -950*t - 388. List the prime factors of y(-5).
2, 3, 727
Suppose -7*f = -5*f - 214. Suppose 94 = 3*a - f. List the prime factors of a.
67
Suppose 2*p - 4 = -2. List the prime factors of (36/(-12))/(p/(-47)).
3, 47
Let o(n) = -n**3 + 6*n**2 - 7*n + 8. Let d be o(4). Let m = d - -85. List the prime factors of m.
97
Suppose -635*g - 50960 = -651*g. List the prime factors of g.
5, 7, 13
What are the prime factors of (4720/12 + -3)/((-1)/(-3))?
1171
List the prime factors of (0 - -9)/(-9) - 157*-2.
313
Suppose 12 = -2*u - 4*s + 4, 5*u - 16 = 2*s. Let q = -3602 - -1600. List the prime factors of q/(-34) + u/17.
59
Let z = 3337 - 2359. List the prime factors of z.
2, 3, 163
Let h be 166 - -24 - (2 - 1). Suppose 7*l + h = 10*l. What are the prime factors of l?
3, 7
Let i(o) = o**2 - 12*o - 140. What are the prime factors of i(-18)?
2, 5
Let r = 37 - 79. Let z = r - -74. What are the prime factors of z?
2
Let r(k) = -116*k**3 + 10*k**2 - 6*k - 4. Let h(s) = -39*s**3 + 3*s**2 - 2*s - 1. Let p(d) = -7*h(d) + 2*r(d). What are the prime factors of p(1)?
41
Suppose 2*i = -i - 2*c + 5, -5*i = 4*c - 11. What
|
{
"pile_set_name": "DM Mathematics"
}
|
)/((-10)/(-60))?
-14
Evaluate (39 - (-24 - -47)) + -14.
2
Calculate (-6*30/(-432))/((-20)/(-3)).
1/16
(41 - 30) + 15/(-3)*(-2)/(-5)
9
Calculate ((-738)/(-328))/(2/8).
9
Calculate 616/11 + 1560/(-39).
16
Evaluate (342/(-54) - -6)/8.
-1/24
Evaluate (-2 - -1) + 6/4 + (-54)/(-12).
5
-5 - (0 + -1)*-2 - 393/131
-10
What is the value of (3/(-14))/(330/(-1595)) + (-9)/12?
2/7
Evaluate 48/560*10/(-4)*8/(-6).
2/7
Calculate 4/(-35)*(-3297)/(-3768).
-1/10
Evaluate 3/((19 - 40)/(-231)).
33
What is the value of ((-2)/9)/((-80)/(-720))?
-2
Evaluate ((-50)/(-300))/((-9)/18).
-1/3
-14 + (-8 - (-21 + 0))
-1
(-2)/3*(-1)/6*3
1/3
What is the value of ((-4)/((-1088)/12))/(2157/(-5752))?
-2/17
Calculate (116/40)/((-16)/32) + (-4)/20.
-6
What is the value of (1*24)/((-6 - -3)*(-28)/42)?
12
Calculate (-200)/350 - (0 - 3/(-14)*2).
-1
(-5)/(320/(-496)) - (-12)/(-3)*2
-1/4
Calculate (9 - -1) + -5*(-384)/(-216).
10/9
(-208)/(-195)*5/(-20)*6
-8/5
What is 78/(-504) + (-66)/693?
-1/4
(-1 - -11 - (9 + (-105)/(-63)))*-12
8
Evaluate (-207726)/(-67284) + (-1)/(-18).
22/7
Calculate (-21)/(-112)*26/(-39).
-1/8
What is ((-715)/572)/(10/4)?
-1/2
Calculate (15/(-3) - -3)/(110/(-105)) - 2.
-1/11
Evaluate -4 + (-33 + 21 - -19).
3
What is (-7)/((-7)/(-2))*109/(-763)?
2/7
Evaluate ((-528)/132)/((-1)/6).
24
Calculate 25*(-10)/(-225)*(-82)/410.
-2/9
What is -17*(-38)/(-646) - 22/(-14)?
4/7
(7/(3/(-6)*(-10)/(-10)))/1
-14
Evaluate (-2)/16 + ((-40)/6)/(5712/(-1071)).
9/8
(41 - 38) + (2286/86)/(-9)
2/43
Evaluate (-16)/(-2) + 296/(-40) + (-957)/(-55).
18
What is (-286)/(473/43) + 22?
-4
Evaluate ((0 - -10)/(5/(-2)))/(6/(-27)).
18
Calculate 4/52 - ((-1528)/(-260) + (-9 - -3)).
1/5
What is (64/80)/((-20)/115)?
-23/5
What is 180/40*(-570)/(-135)?
19
What is (25/475 - (-2611)/931)/((-2)/14)?
-20
(2 - 1)/(4 + -7 + (-650)/(-220))
-22
What is (10 + -30 + 8 + 7)*(5 - 0)?
-25
Evaluate (21/56 + (-102)/144)/(28/36).
-3/7
What is the value of ((-468)/13650*50)/(4/(-42))?
18
Calculate ((-3636)/(-1717) + 2/(-17))*9/(-6).
-3
What is (1476/166050)/(3 - (-64)/(-20))?
-2/45
Calculate 76/(-171)*180/(-8).
10
Calculate (3/(-1) + 3285/1080)*-2.
-1/12
What is the value of 9094/68205*((-3)/24)/((-2)/(-5))?
-1/24
-1 - ((96/90)/(-8) - 34/(-30))
-2
(-27 - (-1155)/42)*14
7
(3/6*(-11 + -7))/(5 + -8)
3
Evaluate (14/(-8))/((-129)/516).
7
What is (63/12)/((-2)/20 - (-99)/(-360))?
-14
Calculate (30/(-90))/(2/((-72)/100) - -3).
-3/2
What is (-426)/994 - (-8)/14?
1/7
(-6)/273*-7 - 1408/(-143)
10
What is (12/32*-2)/((-14)/(-126)*27)?
-1/4
What is 54/(-8) + -9 + 18 + -2?
1/4
What is 5*2 + (345 - 344)?
11
Evaluate 7 - -4 - ((3 - -1) + 56/(-8)).
14
What is the value of -700*8/(-252) - 22?
2/9
(54/(-81))/((-8)/228)
19
((-1)/9)/(93156/5481 + -17)
29
Evaluate ((-106)/(-848) + (-139)/(-40))/(2/(-15)).
-27
What is the value of 9334/(-4056) - 126/(-56)?
-2/39
What is (3/(-2) - 1)*24*(-20)/(-7800)?
-2/13
What is 13 + -2 - 8904/840?
2/5
What is the value of 7 - ((-17 - 0) + 35)?
-11
Evaluate (-66)/(-4) - 2 - (264/16 - 17).
15
Calculate 1/(-7*(-9)/504).
8
(-900)/(-234) + -22 - 12/(-78)
-18
((-480)/192)/((-4)/24)
15
Calculate (-124)/336 - (10 + (-720)/70).
-1/12
What is (12/(-9))/((-14)/42 + -9)?
1/7
Calculate 1504/364*-1 + (-10)/65 + 4.
-2/7
What is the value of (1 - (-4 - -3))/(-3 + 70/25)?
-10
Evaluate ((-13)/26 - (5 + -4)) + (-9)/(-3).
3/2
Calculate 10/3*(5533/275 + -20).
2/5
Calculate 2684/488*(-20)/(-22).
5
Calculate (-78)/494 + (-50)/(-76).
1/2
2532/1055 - (16/90 + (-2)/(-9))
2
What is the value of 88160/4350 + 4/(-15)?
20
Evaluate (42 - 52) + (-3 - 0).
-13
Calculate (10/4)/(1380/(-6624)) + -16.
-28
Evaluate 296/420 + 584/(-1022).
2/15
(-12)/(-39) + 103/(235664/960)
8/11
(11*(-48)/(-3432))/(-2 - -3)
2/13
(-8)/(-10) + 0 + 0 - 61827/80765
1/29
What is the value of (296/(-4810))/((-2)/15)?
6/13
Calculate ((-5508)/(-561) - 36) + (-2)/(-11).
-26
Calculate -1 + (22/(-4))/(124/(-248)).
10
Calculate 5 - ((-1)/(-2))/(2075/150 + -14).
8
What is the value of 20/168*(-66)/(-220)?
1/28
What is the value of 20*406/(-2900)*50/(-7)?
20
Calculate (-20)/8*(-832)/1040.
2
What is -4*((-130)/(-50) - (18/(-15))/(-2))?
-8
What is the value of (-84)/798 - (-752)/(-76)?
-10
Calculate 0 - 11 - (-15928)/1408.
5/16
What is the value of (-47 + (-11748)/(-252))*(-3)/4?
2/7
What is (-4)/(-14)*(-6)/4?
-3/7
3*(-120)/520 + (-4)/(-4)
4/13
Evaluate -1 + -7 + (11 - -6).
9
Calculate (7/2)/(427/(-2196)).
-18
Calculate 7316/(-155) - -16 - 8/10.
-32
Calculate (348/24)/((-55)/110).
-29
((-3875)/50)/31 + 57/(-6)
-12
(-35)/3 - 750/(-1125)
-11
What is (-9958)/(-4596) + 9/(-6)?
2/3
Evaluate 7 - 39*((-4)/(-22) + 0/(-9)).
-1/11
Calculate (-1)/4 + (-18)/(-8) - (-48 - -45).
5
Evaluate (-28)/(-105)*(-840)/7056.
-2/63
What is (-34)/(-3) + 66/(-6) + (-32)/6?
-5
What is the value of 26 - (7 + 0 + 5)?
14
Evaluate (-496)/192 + 8/(-12) + (-4)/(-16).
-3
(-417)/(-45) - (-1791)/(-199)
4/15
What is the value of (12947/11770)/(11/4)?
2/5
What is the value of ((-10)/(-12))/((-9256)/7072 - (-2)/34)?
-2/3
Calculate (2826/314 - (-213)/(-23))/(3*-1).
2/23
Calculate ((-24)/(-132) - (-78)/176)/((-120)/(-48)).
1/4
(-12 + ((-3)/5)/(3/45))/5
-21/5
What is the value of ((-324)/2673)/(16/22)?
-1/6
What is the value of (-4)/((-5520)/18) - (632/(-80) - -8)?
-2/23
Evaluate (((-3)/(-4) - 2275/364) + 7)*8.
12
Evaluate 10/(-9)*(1 + 8/(-20))*15.
-10
What is ((-55)/3)/((-275)/495)?
33
Calculate -4 + -17 - (-104)/8.
-8
7 + (-11)/(88/64) - 16/(-8)
1
(1/(-44))/(3/(-12)) - (-327)/33
10
((-3)/9)/(658/141)
-1/14
(-10*87/(-1160))/(297/8)
2/99
What is the value of (3 - 1) + ((-60)/(-3))/5?
6
What is the value of (-2)/1*(217/14 - 8 - 8)?
1
What is 172/86*(375/(-93) - -4)?
-2/31
Calculate 57/323 - (-395)/(-1275).
-2/15
Evaluate 8120/65772*3/(-5).
-2/27
Evaluate 13/(12584/(-209)) + 2/16.
-1/11
What is the value of (3857/2639)/((-2)/(-26))?
19
What is the value of 1122/162 - (-1 + 10 + -2)?
-2/27
What is 6/(-72)*-20 - 6/9?
1
What is the value of ((-156)/(-208))/(-1 - (-4)/(-8))*-26?
13
What is the value of ((-10)/1)/((-430)/258 - (-32)/(-6))?
10/7
(-20)/(-25)*(-240)/(-24)
8
Calculate 52/(-3) + (-54)/(-6) + 7.
-4/3
Evaluate (-905)/5430 + (-1)/((-12)/62).
5
1692/(-9720) - (-4)/54
-1/10
Calculate (-2)/((-6)/15) - 230/69.
5/3
What is the value of -4*25*(-6)/120?
5
Evaluate ((-4738)/92 - -59) + 3/6.
8
((-6)/9)/((-183)/(-1098))
-4
What is the value of 4191/(-132) + 3 + 28?
-3/4
Calculate ((0 - 1) + 1)/(-171 + 170).
0
Calculate -16 + (-1464)/(-84) + (-220)/105.
-2/3
Calculate 116640/8316 - (70/1)/5.
2/77
What is 42/(-18)*18/21 + 16/7?
2/7
Calculate (-1260)/(-1440)*4/(-14).
-1/4
Evaluate 3744/(-1404) - ((-7)/(-3) + 1).
-6
Evaluate (-8)/3*(2673/220)/(-27).
6/5
Evaluate -12 + -2 - (-12096)/882.
-2/7
What is 141/198 + (176/220)/((-18)/15)?
1/22
What is the value of (8 + -10)*((-70)/(-280))/(2/60)?
-15
(2/12)/((-510)/(-180))
1/17
What is the value of 57/38 + (-54)/12?
-3
Evaluate ((-42)/273)/(1/2).
-4/13
(-1534)/177*(72/13)/(-2)
24
What is the value of 288/20*(-9)/12 - (8 - 17)?
-9/5
Calculate (16/14)/(((-1750)/98 - -10) + 8).
8
Evaluate 642/60 + 57/190.
11
What is the value of 75/(-40)*(-105)/(-525)*(-3 + -1)?
3/2
Evaluate (20/48)/(2/8)*30/(-75).
-2/3
What is 11/((-484)/(-48)) - (-27584)/(-24640)?
-1/35
-2*((-45)/63)/(-5)
-2/7
-4 + 536/140 - 10/25
-4/7
What is the value of 19 - (630/168)/((-5)/20)?
34
What is (2/165)/(-30 - 3775/(-125))?
2/33
What is (-131)/235 + 744/(-17484)?
-3/5
-3 + (-2 - -9) - (-6)/(30/(-55))
-7
What is the value of (-5456)/(-279) - 14/9?
18
Evaluate (-2)/(6*(5 + (-656)/132)).
-11
36/(-102)*(-102)/9
4
What is 3/1 - (77/(-11) + 4)?
6
Evaluate (355/(-15) + -3)*621/(-414).
40
Evaluate (3 - 1)*(0 + -1) + (-1440)/(-780).
-2/13
Calculate (-240)/(-48) + (4 + -26)*(-2)/(-4).
-6
Calculate 40/4 - 7 - 17.
-14
What is the value of ((-7)/(-77))/(((-560)/55)/(-14))?
1/8
((-36)/(-5))/(22330/(-1050) + 21)
-27
What is the value of 14/(2688/(-16))*2?
-1/6
Calculate (-1)/(-4) + 2541/924.
3
What is ((-3)/36 + (-46565)/804)*(-5)/10?
29
What is (-2419)/(-205) - 8/10?
11
Evaluate (57 - 61)/((-7)/((-7)/30)).
-2/15
Calculate 2639/(-98) + (-235)/3290.
-27
Evaluate ((-2506)/36)/(-7) + (-4)/(216/(-3)).
10
Evaluate -62 + -153 + 203 + (178/18 - -1).
-10/9
Calculate (-65)/437 + ((-13311)/667 - (-7 + -13)).
-2/19
What is the value of (-265 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
*u. Give w(s(i)).
-8*i**2 - 7
Let b(l) = 646*l**2. Let a(h) = h**2. Calculate a(b(d)).
417316*d**4
Let x(l) be the first derivative of 1/6*l**4 + 2*l + 2 + 0*l**2 + 0*l**3. Let p(v) be the first derivative of x(v). Let b(t) = t. Determine p(b(a)).
2*a**2
Suppose a + a + 14 = -5*y, -5*a = -2*y - 23. Let f = y - -4. Let t(j) = -j**2 + j - j + f*j. Let h(k) = -2*k. Determine t(h(x)).
-4*x**2
Let d(m) = 2*m. Let p(i) = 12*i**2 + i - i. Let n(y) = -3*y**2. Suppose 5*q - 111 = -6. Let w(u) = q*n(u) + 5*p(u). Calculate d(w(r)).
-6*r**2
Let h(c) be the second derivative of c**3/3 - 2*c. Let i(v) = -13*v**2. Give i(h(p)).
-52*p**2
Let s(g) = -3*g + 3. Let m(t) = -80*t**2. Determine s(m(c)).
240*c**2 + 3
Let r(l) = 18*l**2. Let o(w) = 41*w. Determine r(o(u)).
30258*u**2
Let d(u) be the second derivative of -u**3/2 - 2*u. Let z(p) = -12*p**2. Calculate z(d(q)).
-108*q**2
Let g(i) = -3*i**2. Let r(p) = -859*p**2. What is r(g(c))?
-7731*c**4
Let j(a) = -5*a + 10*a - 6*a. Let v(i) = i. Calculate j(v(m)).
-m
Let g(m) = 6*m - 7. Let y(d) = -5*d + 6. Let u(a) = 6*g(a) + 7*y(a). Let p(l) = 6*l + 2*l - 4*l. Determine u(p(t)).
4*t
Let q(l) = 74*l. Let v(a) = -3*a. What is q(v(d))?
-222*d
Let j(p) = 3*p. Let b = 9 - 3. Let r(w) = 5*w - b + 6 - 2*w. Determine r(j(t)).
9*t
Let v(c) = -7*c**2. Let y(h) = 3*h**2 + 4*h - 4. Let n(f) = -3*f**2 - 5*f + 5. Let k(w) = -4*n(w) - 5*y(w). What is v(k(l))?
-63*l**4
Let x(n) = n**2. Let d(g) be the second derivative of -g**4/6 + 3*g. Calculate d(x(l)).
-2*l**4
Let t(x) = x. Let h(o) = 7*o**2 - 28*o + 28. Let w(q) = q - 1. Let g(c) = -3*h(c) - 84*w(c). Give g(t(k)).
-21*k**2
Let h(d) be the second derivative of -5*d**3/6 + 10*d. Let w(s) = 2*s. Determine w(h(o)).
-10*o
Let v(c) = -c**2. Let w(n) = 3*n**2 + n - 1. Suppose 0 = -4*b + 8*b + 4. Let z(a) = -a + 1. Let m(g) = b*z(g) - w(g). What is v(m(x))?
-9*x**4
Suppose -5*t + 8 + 2 = 0. Let y(d) = 2*d**2 - 2*d**t - d**2. Let h(p) = 7*p - 5*p + 2*p. What is y(h(n))?
-16*n**2
Let z(o) = 2*o - 11*o + 0*o + 6*o. Let x(d) = -19*d. Give x(z(l)).
57*l
Let t(j) = -13*j. Let a(i) = 3*i**2 - 13*i**2 + 8*i**2. Calculate a(t(r)).
-338*r**2
Let p(i) = -2*i. Let o(a) = -378*a. Determine o(p(d)).
756*d
Let w(j) = -2*j**2. Suppose 0 = 2*q + 4*h - 8, 2*q - 4 = -2*h + 6. Let d(g) = q*g - 4*g - 2*g + 4*g. Determine d(w(s)).
-8*s**2
Suppose -4*d - 13 = 3. Let k be d + 1 + 3 + 1. Let y(n) = k - 1 - 7*n + 0. Let b(a) = -a. Calculate b(y(f)).
7*f
Let g(i) be the second derivative of -i**3/3 + 18*i. Let h(a) = 45*a. Give h(g(p)).
-90*p
Let u(b) = -b. Let h(o) = -51*o - 5. Give h(u(y)).
51*y - 5
Let w(o) = -46*o. Let v(k) = 4*k. Determine w(v(y)).
-184*y
Let x(f) be the second derivative of -2*f**4/3 + 7*f. Let o(w) = w**2. Give x(o(p)).
-8*p**4
Let y(t) = -t. Let n(d) be the third derivative of -13*d**4/24 - 8*d**2. Calculate y(n(m)).
13*m
Let y(p) = -7*p**2. Let h(b) = b**2. Let w(j) = -6*h(j) - y(j). Let r(c) = -2*c. What is w(r(k))?
4*k**2
Let f(l) = 7*l**2. Let y(v) = 2*v - v**2 + 4*v**2 - 2*v. Give f(y(q)).
63*q**4
Let k(y) = -2*y. Let p(o) = -46*o**2. What is p(k(r))?
-184*r**2
Let n(p) be the second derivative of 0*p**2 + 1/6*p**4 - p + 0 + 0*p**3. Let l(h) = 7*h. Determine n(l(s)).
98*s**2
Let v be 14/2 + 1*-2. Let n(h) = -v*h - h + 4*h + 0*h. Let s(i) = 3*i**2. What is n(s(d))?
-6*d**2
Let u(n) = -n. Let g(o) = -65*o**2 - o - 19. Calculate g(u(l)).
-65*l**2 + l - 19
Let d(g) = g. Let v be 4/(-12) - 8/3. Let b be (1/3)/((-1)/v). Let s(z) = 1 - b + z. Calculate s(d(c)).
c
Let s(x) = -x**2 + 4*x + 4. Let z(v) = -v**2 + 5*v + 5. Suppose 3*d + 3*i - 2*i = 8, -4 = -3*d - 2*i. Let p(m) = d*z(m) - 5*s(m). Let k(l) = -6*l. Give p(k(w)).
36*w**2
Let p(t) be the second derivative of t**4/12 + 5*t. Let m(f) = -2*f. Calculate p(m(n)).
4*n**2
Let d(b) = -4480*b**2. Let x(j) = -j**2. Determine x(d(a)).
-20070400*a**4
Let c(n) = n. Let v(f) = 105*f - 53. Calculate v(c(q)).
105*q - 53
Let m(n) = -2*n. Let o(c) = -58*c**2. What is m(o(h))?
116*h**2
Let h(p) = -4*p**2. Let k = -5 + 7. Suppose 12 = 5*j - k*j. Let a(c) = 3*c - 5*c + j*c. What is h(a(u))?
-16*u**2
Let b(a) = 9*a. Let j(c) = -2*c - 11. Let u(i) = -i - 4. Let p(z) = -4*j(z) + 11*u(z). Determine p(b(g)).
-27*g
Let l(g) = 0 - g**2 + 0. Let i(y) be the third derivative of y**4/24 + y**2. Calculate l(i(k)).
-k**2
Let v(o) be the first derivative of o**3/3 + 3. Let a(b) be the third derivative of -b**5/20 + b**2. Determine a(v(h)).
-3*h**4
Let t be (-6 - -4)*(-3 + 2). Let z(p) = -4*p**2 + 3*p**t + 3*p**2 + 0*p**2. Let v(l) = 1. Let g(i) = -i - 7. Let u(n) = 2*g(n) + 14*v(n). Determine u(z(k)).
-4*k**2
Let m(w) = -18*w**2. Let l(a) = 5*a**2 + a. Calculate m(l(v)).
-450*v**4 - 180*v**3 - 18*v**2
Let n(z) = 2*z - 3*z + 2*z. Let o(j) be the third derivative of 0*j - j**2 + 0*j**3 + 0 + 1/24*j**4. What is n(o(v))?
v
Let l(h) be the third derivative of -h**5/60 + 2*h**2. Let d(x) = 12*x - 2. Let p(q) = -13*q + 3. Let w(y) = -3*d(y) - 2*p(y). Determine w(l(a)).
10*a**2
Let q(k) = -3*k. Suppose 0 = 2*h + f - 0*f - 3, -3*h - 6 = 5*f. Suppose s - h = -0*s. Let o(r) = -2*r + 4*r - s*r. Calculate o(q(j)).
3*j
Let z = -2 - -2. Let c(b) = z*b - b - b. Let u(s) be the third derivative of s**5/60 - s**2. Give c(u(j)).
-2*j**2
Let f be 6/4 + (-1)/(-2). Let t(k) = -k + f*k**2 + k. Let s(r) be the first derivative of -5*r**3/3 + 8. Determine s(t(x)).
-20*x**4
Let h(l) = -l - 3*l**2 + l. Let q(b) be the third derivative of 0*b**3 + 0 + 1/24*b**4 + 0*b + 3*b**2. Calculate q(h(p)).
-3*p**2
Let g(o) = -o. Let y(b) = -4*b. Let q(h) = -18*g(h) + 4*y(h). Let a(c) = 21*c. Calculate q(a(t)).
42*t
Let c(z) = 10*z**2. Let l(f) = 5*f**2. Let t(d) = -2*c(d) + 5*l(d). Let q(n) be the second derivative of n**3/3 - 2*n. What is t(q(b))?
20*b**2
Let g(t) = -3*t. Let c(d) = 3918*d + 2. What is c(g(l))?
-11754*l + 2
Let j(n) = -2*n. Let k(p) = 3*p**2 + 198. Give j(k(t)).
-6*t**2 - 396
Let q(s) = s**2. Let z = 13 + -6. Let l(g) = -2*g**2 + z*g**2 - 3*g**2. What is l(q(y))?
2*y**4
Let q(p) = -2*p. Let y(z) be the second derivative of -z**6/360 - 7*z**3/6 + 7*z. Let s(t) be the second derivative of y(t). Give q(s(g)).
2*g**2
Let t(q) = -3*q**2 - 2*q**2 + 2*q**2. Let g(c) = -2*c**2 + 758*c - 758*c. Determine t(g(m)).
-12*m**4
Let p(s) = -2*s**2 - 11. Let q(c) = 5*c. Determine q(p(r)).
-10*r**2 - 55
Let q(b) = -2*b**2. Let f(c) = 2*c**2. Let r(n) = 2*f(n) + 3*q(n). Let v(j) = 2*j**2. Calculate v(r(s)).
8*s**4
Let g(n) = 7*n**2. Let i(u) be the second derivative of -u**3/6 + 8*u. Calculate g(i(b)).
7*b**2
Let l(r) = 279*r. Let y(b) = -27*b. Calculate y(l(p)).
-7533*p
Let j(i) = -7*i**2. Let a(g) be the first derivative of g**2/2 + 2. Give j(a(f)).
-7*f**2
Let w(h) be the third derivative of h**5/30 + 11*h**2. Let v(n) = 12*n. What is w(v(c))?
288*c**2
Let g(w) = 8*w - 8*w - 5*w. Let x(j) = j. Determine g(x(z)).
-5*z
Let v(a) be the first derivative of 13*a**2/2 - 17. Let w(c) = 2*c**2. What is w(v(n))?
338*n**2
Let h(s) = -s. Let q(w) = 2*w. Let x(l) = -10*h(l) - 4*q(l). Let v(u) = 9*u**2. Give x(v(i)).
18*i**2
Let z(c) = -2*c**2. Let i(a) = -235*a. Determine i(z(h)).
470*h**2
Let c(m) = 4*m. Suppose -4*t - 4*i = -3*i - 14, -3*i = -5*t + 9. Let h(k) = -2*k + 3. Let n(s) = s - 2. Let j(p) = t*n(p) + 2*h(p). Calculate j(c(g)).
-4*g
Let r(t) = t**3 + 5*t**2 - t - 3. Suppose -3*u + 2*u - 5 = 0. Let b be r(u). Let x(h) = -b*h + 6*h - 2*h. Let v(j) = -j. What is x(v(q))?
-2*q
Let y(w) be the first derivative of -32*w**3/3 - 18. Let s(k) = -k. Calculate y(s(f)).
-32*f**2
Let p(n) = n**2. Let t(u) = u. Let f be (2/6)/(5/60). Let r(q) = 3*q. Let o(d) = f*t(d) - r(d). Calculate o(p(i)).
i**2
Let i(c) = -c. Let y(p) = 121*p. What is y(i(m))?
-121*m
Let u(w) be the third derivative of -w**5/60 - 3*w**2. Let c(x) = 4*x. Give c(u(g)).
-4*g**2
Let m(x) = 2061*x. Let v(k) = k. What is m(v(c))?
2061*c
Let w(c) = -7*c**2. Let y(z) = -3*z - 10. Let a(n) = -4*n - 12. Let v(b) = -5*a(b) + 6*y(b). Give v(w(t)).
-14*t**2
Let h(g) = g. Let v(j) = 3*j. Let n(r) = -7*h(r) + 2*v(r). Let y(t) = -6*t. Determine n(y(u)).
6*u
Let n(c) = 21 - 7*c + 5*c - 21. Let b(r) be the first derivative of r**5/30 + r**3/3 - 2. Let m(p) be the third derivative of b(p). What is m(n(j))?
-8*j
Let g(f) = -15*f. Let p(y) = -y + 7. Calculate g(
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of 0*h + 34/3*h**3 + 11 - 15/2*h**2. Find the second derivative of d(o) wrt o.
68
Let t be (-8 + 11)/(1/13). Suppose 0 = 5*v + 4*h - 60, -2*v - 3*h = v - t. Find the second derivative of 12 - v + 8*u**3 + 11*u - 4 wrt u.
48*u
What is the second derivative of 9 - m + 253 + 47*m**5 + 142*m**5 wrt m?
3780*m**3
Let l(t) = 7*t + 8. Let z(u) = -22*u - 29. Let h(f) = 22*f + 28. Let m(w) = 5*h(w) + 4*z(w). Let q(v) = 11*l(v) - 4*m(v). Differentiate q(a) wrt a.
-11
Let x(g) = 97*g**3 + 78. Let o(d) = 3588*d**3 + 2886. Let q(c) = 6*o(c) - 221*x(c). What is the derivative of q(w) wrt w?
273*w**2
Let d(t) be the third derivative of -187*t**5/60 + 73*t**4/12 + 61*t**2 - 2. What is the second derivative of d(y) wrt y?
-374
Suppose 0 = -3*d - 2*y, 0 = -3*d - 4*y + 3*y. Suppose 6*m = -2*b + 3*m - 2, 5*m = 5*b - 20. What is the derivative of 0*j**2 + d + 4 + 0*j**b - 3*j**3 wrt j?
-9*j**2
Let n(y) = -117*y**3 + 10*y**2 + 43. Let k(p) = p**3 + 2*p**2. Let t(h) = -6*k(h) + n(h). Differentiate t(u) wrt u.
-369*u**2 - 4*u
What is the first derivative of -12 - 1183*t**4 + 1186*t**4 - 40*t**3 - 17*t**3 wrt t?
12*t**3 - 171*t**2
Suppose 5*m = 3*a + 18, 5*m - 5*a - 21 = -1. Let u be (-172)/(-14) - 4/14. Find the second derivative of u*w**3 - 4*w + m*w - w wrt w.
72*w
Let x(y) be the second derivative of 21*y**3 - 143*y**2/2 + 170*y + 2. What is the derivative of x(w) wrt w?
126
Let a be (0 + 1)/(-8*(-8)/2112). Find the third derivative of -15*z + 23*z**6 + 35*z + a*z**2 - 20*z wrt z.
2760*z**3
Let s(c) be the second derivative of 0*c**4 + 0*c**5 + 7/30*c**6 + 0*c**2 + 0 + 17/6*c**3 - 2*c. Find the second derivative of s(a) wrt a.
84*a**2
Let n(o) = -o - 5. Let a(k) = k + 5. Let m(f) = 6*a(f) + 5*n(f). Let h be m(0). What is the second derivative of 6*z - 2*z - 3*z**h + 0*z**3 + 0*z**3 wrt z?
-60*z**3
Let j = 1 - -5. What is the third derivative of 2*x**6 - 8*x**j + 87*x**2 - 79*x**2 wrt x?
-720*x**3
Let a be 12/(-18) - 322/(-6). Find the second derivative of 10*d - 53*d**3 + a*d**3 - 4*d**4 wrt d.
-48*d**2
Let u(n) be the second derivative of -83*n**6/10 - 109*n**3 + 41*n - 6. What is the second derivative of u(q) wrt q?
-2988*q**2
Let h(q) = -42*q**2 - 4*q - 10. Let w(z) = -z**2 - z - 1. Let k(v) = h(v) - 4*w(v). Differentiate k(g) wrt g.
-76*g
Suppose 20*o - 70 = 6*o. What is the first derivative of -24 - 1 + o - 12*a - 9 wrt a?
-12
Let z(g) = -g**3 + g - 2. Let o be z(-2). Find the first derivative of 30*r**4 - 13*r**4 + 4*r**3 - o*r**3 - 4 wrt r.
68*r**3
Let o(u) = 462*u**2 - 111*u - 36. Let b(r) = -92*r**2 + 22*r + 7. Let h(q) = 21*b(q) + 4*o(q). Find the second derivative of h(y) wrt y.
-168
Suppose 0 = 2*u - 3*k + 9, u + u + 12 = 4*k. Suppose -4*s + 16 + 0 = u. What is the derivative of -2*c + s + 3*c - 4*c - 3*c wrt c?
-6
Let i be (-1 + 3)*(11 + -10). What is the third derivative of 0*g**3 - 3*g**i - 2*g + 4*g**3 - 3*g**4 + 4*g**3 - 13*g wrt g?
-72*g + 48
Let y(v) be the second derivative of 0*v**3 - 13/20*v**5 - 33*v + 0 + 17/2*v**2 + 0*v**4. Find the first derivative of y(b) wrt b.
-39*b**2
Let f(q) = -q**4 + q**3 - q**2 - q + 1. Let p(b) = 2*b**4 + b**3 + 5*b**2 + 84*b - 5. Let n(t) = 5*f(t) + p(t). What is the second derivative of n(x) wrt x?
-36*x**2 + 36*x
Find the third derivative of 68*f**6 + 19*f**5 + f**2 + 151*f**6 + 20*f**5 - 39*f**5 + 9*f wrt f.
26280*f**3
Suppose -7*m + 98 + 175 = 0. Differentiate -13*i**3 - m*i**4 + 9*i**3 - 14 + 4*i**3 with respect to i.
-156*i**3
Let r(t) be the first derivative of t**10/105 - t**6/45 + 37*t**3/3 + 18. Let k(z) be the third derivative of r(z). Find the third derivative of k(o) wrt o.
5760*o**3
Let j(h) = 2*h**4 + 6*h**2 - h + 74. Let k(s) = -2*s**4 - 5*s**2 - 73. Let w(o) = 5*j(o) + 6*k(o). Differentiate w(f) with respect to f.
-8*f**3 - 5
Find the second derivative of -709*y**2 - 114*y + 709*y**2 - 111*y**3 wrt y.
-666*y
Suppose 0 = -3*o + 4*b - 2*b + 12, 8 = -2*o - 4*b. Find the second derivative of 8*c**o - 31*c - 20*c**2 - 3*c**2 wrt c.
-30
Let d(w) = -18*w**4 + 2*w**3 + w**2 - 364. Let r(g) = -g**4 - 2*g**3 + g**2. Let p(q) = d(q) + r(q). Differentiate p(i) with respect to i.
-76*i**3 + 4*i
Let a(w) be the third derivative of w**7/105 - 5*w**4/6 - 32*w**2. What is the second derivative of a(k) wrt k?
24*k**2
Let p be (-6)/27 + (-164)/(-9). Let c be (-5)/20 + p/8. What is the derivative of 2*l**2 - 5*l**c + l**2 - 2*l**2 - 1 wrt l?
-8*l
Differentiate 67*v**3 - 59*v - 4 + 59*v + 43 - 8 with respect to v.
201*v**2
Let p(g) be the first derivative of -10/3*g**3 + 0*g**6 + 0*g**5 + 0*g + 0*g**2 + 0*g**4 + g**7 - 10. Find the third derivative of p(y) wrt y.
840*y**3
Let o = 44 - 38. Find the third derivative of -8*i**6 + 17*i**2 + 9*i**o + 27*i**6 wrt i.
3360*i**3
Let c be (0 - (-4 + 5))/(-1). Suppose s + c = 2*i + 3, 3*s = 5*i + 7. Find the third derivative of s*t**2 - 2*t**3 - 4*t**2 + 5*t**2 wrt t.
-12
Let l be 4 + -5 + 3 + 4. Let z(b) = -b. Let x be z(-2). What is the third derivative of 9*o**x - l*o**2 - 4*o**4 + o**2 wrt o?
-96*o
Let w(r) be the second derivative of -26*r**6/15 + r**4/12 + 109*r**3/6 - 3*r + 89. What is the third derivative of w(x) wrt x?
-1248*x
What is the second derivative of -193545*o**2 - 137*o + 192754*o**2 - 72*o wrt o?
-1582
Let d(j) be the third derivative of -175*j**4/8 + 121*j**3/6 - 402*j**2. What is the derivative of d(x) wrt x?
-525
Let n(m) = -m**4 + 2*m**2 + m + 1. Let a(p) = -5*p**4 - 597*p**3 - 24*p**2 + 3*p + 4. Let j(r) = a(r) - 3*n(r). What is the third derivative of j(d) wrt d?
-48*d - 3582
Let r(k) be the second derivative of -5/3*k**3 + 0 + 0*k**4 + 0*k**5 - 1/30*k**6 + 0*k**2 - 5*k. What is the second derivative of r(o) wrt o?
-12*o**2
Let r(u) be the second derivative of 0 + 18*u + 0*u**3 + 0*u**5 + 23/12*u**4 - 4/5*u**6 + 0*u**2. What is the third derivative of r(d) wrt d?
-576*d
Suppose -7*y = 3*y + 2*y. Let p(i) be the second derivative of y*i**2 - 9*i + 11/20*i**5 + 0 + 5/6*i**3 + 0*i**4. Find the second derivative of p(z) wrt z.
66*z
Let c(s) be the first derivative of s**4/4 + 5*s**3/3 + 2*s + 6. Let i be c(-5). Find the third derivative of -k**2 - 3*k**2 - k**i + k**3 + 2*k**2 wrt k.
6
Let j = 2 + -2. Suppose -x + j*x = -3. What is the second derivative of -27*o + o**x + 15*o - 3*o**3 - 11*o**3 wrt o?
-78*o
Suppose -5*o - 52 = -67. Find the second derivative of 67*g**o + 18*g - 50*g**3 + 4*g wrt g.
102*g
Let p(b) be the first derivative of -4*b - 26*b - 5*b - 5 + 9*b**3 + 7*b. What is the derivative of p(v) wrt v?
54*v
Let y(o) be the second derivative of 31*o**5/10 + 36*o**2 - 43*o. Find the first derivative of y(i) wrt i.
186*i**2
What is the third derivative of 3*t**4 - 1313*t**6 - 65*t**2 + 1406*t**6 - 3*t**4 wrt t?
11160*t**3
Find the second derivative of 20 + 10 + 7 - 4*u**2 + 3*u - 35 - 5*u**2 wrt u.
-18
Let l(i) = -i**2 - 5*i + 3. Let z be l(-5). Find the second derivative of 0*s**z - 4*s + 7*s + 5*s + s**3 wrt s.
6*s
Let f be (164/(-12))/((-4)/36). What is the derivative of -149 - q**2 - 13*q**4 - 8*q**4 + f wrt q?
-84*q**3 - 2*q
Let v(a) be the third derivative of 5*a**7/42 + a**6/40 - 188*a**3/3 + 418*a**2. Differentiate v(s) wrt s.
100*s**3 + 9*s**2
Let t(q) be the third derivative of 0*q**6 + q**2 - 1/15*q**7 + 0*q**4 + 0 + 0*q + 0*q**3 - 2/15*q**5. What is the third derivative of t(l) wrt l?
-336*l
What is the third derivative of -39*b - 13*b**2 + 102*b - 11*b**3 + 6*b**4 - 35*b - 39*b wrt b?
144*b - 66
Let y(q) = 18*q + 23. Let h be 7/(-35) + (-41)/5*-1. Let m(w) = 53*w + 69. Let v(x) = h*y(x) - 3*m(x). What is the first derivative of v(d) wrt d?
-15
Find the first derivative of -12*r + 45 - 57 - 2 - 149 wrt r.
-12
Find the second derivative of -21*q - 48 - 82*q**3 + 13*q**3 + 23*q wrt q.
-414*q
Let s(o) be the first derivative of 11*o**4/12 + 4*o**3/3 + 7*o + 8. Let z(h) be the first derivative of s(h). Find the second derivative of z(x) wrt x.
22
Let x(m) be the third derivative of 67*m**9/252 - 17*m**5/10 + 9*m**2 + 11. What is the third derivative of x(j) wrt j?
16080*j**3
What is the third derivative of -74*h**3 - 2*h**4 - 419*h**2 + 1077030 - 1077030 wrt h?
-48*h - 444
Let o = -11 + 16. Suppose -5*r = 5*s + 19 - 4, 0 = 5*r - s - 15. Find the second derivative of p**5 + 4*p - o*p + r*p wrt p.
20*p**3
Let n(y)
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the cube root of 11837051 to the nearest integer?
228
What is 25379583 to the power of 1/2, to the nearest integer?
5038
What is the fifth root of 3717308 to the nearest integer?
21
What is 1365910 to the power of 1/10, to the nearest integer?
4
What is 20298473 to the power of 1/7, to the nearest integer?
11
What is the square root of 1268195 to the nearest integer?
1126
What is 366903 to the power of 1/7, to the nearest integer?
6
What is 1582493 to the power of 1/3, to the nearest integer?
117
What is the third root of 2166492 to the nearest integer?
129
What is the tenth root of 153541 to the nearest integer?
3
What is 7687532 to the power of 1/2, to the nearest integer?
2773
What is 10279762 to the power of 1/2, to the nearest integer?
3206
What is 609103 to the power of 1/2, to the nearest integer?
780
What is the tenth root of 198162 to the nearest integer?
3
What is 34970815 to the power of 1/6, to the nearest integer?
18
What is 32436 to the power of 1/8, to the nearest integer?
4
What is the third root of 670565 to the nearest integer?
88
What is the third root of 6778348 to the nearest integer?
189
What is 566364 to the power of 1/2, to the nearest integer?
753
What is the square root of 1604288 to the nearest integer?
1267
What is 3718209 to the power of 1/3, to the nearest integer?
155
What is 232786 to the power of 1/2, to the nearest integer?
482
What is 123542 to the power of 1/3, to the nearest integer?
50
What is the square root of 97298 to the nearest integer?
312
What is 9117511 to the power of 1/9, to the nearest integer?
6
What is the third root of 1705048 to the nearest integer?
119
What is 1958282 to the power of 1/6, to the nearest integer?
11
What is the square root of 741942 to the nearest integer?
861
What is the sixth root of 3952641 to the nearest integer?
13
What is the sixth root of 230326 to the nearest integer?
8
What is the square root of 45254 to the nearest integer?
213
What is the square root of 1113686 to the nearest integer?
1055
What is 660501 to the power of 1/7, to the nearest integer?
7
What is 166316 to the power of 1/2, to the nearest integer?
408
What is the square root of 1458782 to the nearest integer?
1208
What is 6313253 to the power of 1/9, to the nearest integer?
6
What is 1842289 to the power of 1/4, to the nearest integer?
37
What is the third root of 2025968 to the nearest integer?
127
What is the cube root of 5892899 to the nearest integer?
181
What is the sixth root of 67616 to the nearest integer?
6
What is 394884 to the power of 1/2, to the nearest integer?
628
What is the square root of 2892101 to the nearest integer?
1701
What is 201046 to the power of 1/5, to the nearest integer?
11
What is 863667 to the power of 1/2, to the nearest integer?
929
What is 37844 to the power of 1/2, to the nearest integer?
195
What is the cube root of 152605 to the nearest integer?
53
What is 213252 to the power of 1/7, to the nearest integer?
6
What is 789601 to the power of 1/3, to the nearest integer?
92
What is 3765021 to the power of 1/2, to the nearest integer?
1940
What is the sixth root of 9799582 to the nearest integer?
15
What is 1149085 to the power of 1/9, to the nearest integer?
5
What is the ninth root of 690686 to the nearest integer?
4
What is 3136504 to the power of 1/6, to the nearest integer?
12
What is the cube root of 919914 to the nearest integer?
97
What is 1339405 to the power of 1/2, to the nearest integer?
1157
What is the ninth root of 315251 to the nearest integer?
4
What is 569592 to the power of 1/2, to the nearest integer?
755
What is 1499205 to the power of 1/4, to the nearest integer?
35
What is the tenth root of 127544 to the nearest integer?
3
What is the fifth root of 2938991 to the nearest integer?
20
What is 161105 to the power of 1/2, to the nearest integer?
401
What is the square root of 116400 to the nearest integer?
341
What is the square root of 1418240 to the nearest integer?
1191
What is 683881 to the power of 1/10, to the nearest integer?
4
What is 4417459 to the power of 1/4, to the nearest integer?
46
What is 368864 to the power of 1/10, to the nearest integer?
4
What is 403717 to the power of 1/2, to the nearest integer?
635
What is 3553127 to the power of 1/3, to the nearest integer?
153
What is 169450 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 10211623 to the nearest integer?
5
What is the third root of 1921063 to the nearest integer?
124
What is the third root of 6513533 to the nearest integer?
187
What is 3069153 to the power of 1/8, to the nearest integer?
6
What is 6620634 to the power of 1/6, to the nearest integer?
14
What is the cube root of 608938 to the nearest integer?
85
What is 19273290 to the power of 1/3, to the nearest integer?
268
What is the third root of 164461 to the nearest integer?
55
What is the seventh root of 86407 to the nearest integer?
5
What is the eighth root of 343598 to the nearest integer?
5
What is 38750 to the power of 1/2, to the nearest integer?
197
What is the eighth root of 18345673 to the nearest integer?
8
What is the third root of 7512649 to the nearest integer?
196
What is the fifth root of 237295 to the nearest integer?
12
What is 1100466 to the power of 1/4, to the nearest integer?
32
What is 126628 to the power of 1/7, to the nearest integer?
5
What is the third root of 547648 to the nearest integer?
82
What is 248489 to the power of 1/5, to the nearest integer?
12
What is the cube root of 1871639 to the nearest integer?
123
What is 20848 to the power of 1/5, to the nearest integer?
7
What is 1799863 to the power of 1/2, to the nearest integer?
1342
What is the seventh root of 312247 to the nearest integer?
6
What is 4817222 to the power of 1/5, to the nearest integer?
22
What is the third root of 3542237 to the nearest integer?
152
What is the square root of 979540 to the nearest integer?
990
What is the seventh root of 6651013 to the nearest integer?
9
What is the third root of 5982847 to the nearest integer?
182
What is the cube root of 3140230 to the nearest integer?
146
What is 5004278 to the power of 1/2, to the nearest integer?
2237
What is the square root of 33625 to the nearest integer?
183
What is the square root of 344035 to the nearest integer?
587
What is 3195180 to the power of 1/3, to the nearest integer?
147
What is the square root of 434869 to the nearest integer?
659
What is the third root of 248320 to the nearest integer?
63
What is the ninth root of 616474 to the nearest integer?
4
What is 32632 to the power of 1/2, to the nearest integer?
181
What is 21724200 to the power of 1/3, to the nearest integer?
279
What is the third root of 927197 to the nearest integer?
98
What is 78198 to the power of 1/10, to the nearest integer?
3
What is 5647330 to the power of 1/3, to the nearest integer?
178
What is the seventh root of 1493641 to the nearest integer?
8
What is the cube root of 7751341 to the nearest integer?
198
What is the ninth root of 714277 to the nearest integer?
4
What is the third root of 2740358 to the nearest integer?
140
What is the cube root of 3372762 to the nearest integer?
150
What is the third root of 7486477 to the nearest integer?
196
What is 300793 to the power of 1/8, to the nearest integer?
5
What is the third root of 377243 to the nearest integer?
72
What is 110119 to the power of 1/3, to the nearest integer?
48
What is 6805242 to the power of 1/2, to the nearest integer?
2609
What is 306087 to the power of 1/3, to the nearest integer?
67
What is 2345 to the power of 1/3, to the nearest integer?
13
What is the sixth root of 2817792 to the nearest integer?
12
What is the square root of 2057211 to the nearest integer?
1434
What is the square root of 2858629 to the nearest integer?
1691
What is 61229 to the power of 1/8, to the nearest integer?
4
What is the ninth root of 1632537 to the nearest integer?
5
What is the third root of 63536 to the nearest integer?
40
What is 82916 to the power of 1/2, to the nearest integer?
288
What is the tenth root of 1300564 to the nearest integer?
4
What is 8704337 to the power of 1/6, to the nearest integer?
14
What is the tenth root of 669570 to the nearest integer?
4
What is the tenth root of
|
{
"pile_set_name": "DM Mathematics"
}
|
- (12/(15 + 153) + (-55)/(-14))?
-10
What is (12 + -15)*7/(-3) + 118 + -25?
100
(-21 + 11 + 8)/((-12)/(-618))
-103
Evaluate (0 + 100/12)/((-5778)/162 + 36).
25
(128/(-3))/(8158/12237)
-64
33/(-3)*(3550/550 - 72/(-132))
-77
Calculate ((-83)/(-415))/(5/(-65))*5.
-13
What is (((-3)/(-2)*-4)/(-7))/(66/154)?
2
7/(-3)*(-6)/28*(63 - -23)
43
What is the value of -3*(-16 + 4469/123)?
-61
(12/(-200)*1)/((-5220)/(-75) + -69)
-1/10
(((-1)/3 - (-412)/12) + 15)/(-1)
-49
Evaluate 14/((-3969)/756*6/135).
-60
What is the value of (-41 - (-3485)/82)/((-12)/(-15))?
15/8
Evaluate (9 - (-11970)/2310) + (-20)/2.
46/11
(41*(-1)/2 + -1)/((-212)/43248*102)
43
Calculate (-166)/166 - (-3)/9.
-2/3
What is the value of 75600/3850 - (37 + -13)?
-48/11
Evaluate 9 + (1/(-2) - (20/16 + (-6407)/(-172))).
-30
250478/8340 + (-5)/150 + 18/(2 - 4)
21
What is the value of (10278/(-27408))/(21/8680)?
-155
Evaluate (-12)/(-1) + (-83 - -94) + -35.
-12
((67080/442)/86)/15
2/17
Calculate 7106/21318*(-9)/(-186).
1/62
62128/144024 + 4/102
8/17
What is ((-65)/(-1716))/(5580/3069)?
1/48
Calculate (-53)/((-954)/192)*(18 - 1968/64).
-136
Calculate (-89)/(-1068)*-540*(-2)/2.
45
Calculate (-3)/9 - ((-9)/(-7) + (-4450)/2100).
1/2
What is (2*1)/((-560)/(-7616)*34)?
4/5
Evaluate -14 - (675/(-15) + 0).
31
(-76)/551 - (-11040)/(-36018)
-4/9
What is (0 + 4/(-6))*13377/(-686)?
13
What is the value of (-1092)/12 + 2016/((-3752)/67)?
-127
Calculate (-2)/(-152)*-3 - 71/(-284).
4/19
What is the value of (186150/125)/(-102) + 13?
-8/5
Evaluate 2/100 - (-103339001)/(-1087550).
-95
Evaluate (-596)/(-48) + 3 + (-4)/((-620)/80 + 8).
-7/12
Calculate (-7 - 0 - (21054/880 - 31))*8.
3/5
Evaluate 22*(-5)/12*(-1578)/1315.
11
What is (-1297)/(-150) + (-2551)/(-127550)?
26/3
Evaluate (5145/6860)/((-306)/(-8)).
1/51
What is (216/(-84))/((-32)/(-322)) + (-2)/16?
-26
Evaluate (-3*(-4)/16)/(2 + 1*(-7)/(-56)).
6/17
What is ((-2)/12)/(8 - (-1790)/(-225) - 62/45)?
1/8
-4*2*(-29359)/13974884
2/119
What is the value of 30/(-4)*(0 + 6/5)/(-15 - -12)?
3
(1/4 - (-96)/64)*(-2250)/(-525)
15/2
((-2625)/(-15) + -20)*(-18)/30
-93
What is (-16 - (-27510)/1725)/(1 - 8/20)?
-2/23
Calculate (13/78)/((-27)/(-243)) + (-106)/4.
-25
Evaluate -42*((-750)/(-35))/(-25).
36
What is (180/405)/((-2)/(-261))?
58
What is the value of (143 - (-23 + 89)) + (2 - 10)?
69
-4*(-2 - 33/9)*(-1995)/(-5320)
17/2
Evaluate 21/((-504)/1776) + 16 + -55.
-113
What is the value of ((-1)/824)/((-60)/5220) + (-11)/88?
-2/103
Evaluate (-780)/(-19110) + 9516/(-2646) + 4.
4/9
What is the value of 21 - 10887/(-65895)*254/(-2)?
2/115
What is the value of (135/(-10935)*135)/((-5)/87)?
29
What is (-180)/(-100)*312/192 - 3?
-3/40
Calculate (((-53505)/(-164))/(-145))/((-4)/((-16)/(-3))).
3
Evaluate 53654/(-6255) + (-4)/18 - (-99)/11.
1/5
What is ((-1)/(-3))/(-8*(-26)/(-8736))*-4*1?
56
What is the value of ((-36660)/(-8))/(-65)*42/28*(-8)/6?
141
(99 + -123)/((-15)/(-35))
-56
Evaluate (-31)/(372/(-48))*(-7)/((-14)/(-20)) + -2.
-42
What is the value of (-309)/(-18540)*320/328?
2/123
What is (-14 + 1883/63 + -3)*(1 + 42/12)?
58
Evaluate (16300/300 + 14)*(-3)/5*2.
-82
16/(-14)*6998/27992
-2/7
Calculate 8/20*5 - (21/(-1) - (-232356)/10115).
1/35
Evaluate (-10)/(-155) + (-15324)/1116 - ((-16)/(-12) + -1).
-14
Calculate 69/(6762/4900) - ((-2)/5 + (-2)/(-5)).
50
What is (1860/(-837))/(-10)*(3/(-6) + (-940)/(-8))?
26
What is 69 + -50 + 26 + -24?
21
((-58)/(-406))/((-7)/49) + 11
10
Calculate 28 - 104/91*56.
-36
Calculate (-9 + -5 + 2)*(-23 - (-1457)/62).
-6
Calculate ((60*25/(-3500))/((-30)/1295))/((-1)/(-6)).
111
Calculate (9 - 7)/(6/22 + (-299)/3289).
11
(-930)/75 - (-8 - 70/(-14))
-47/5
((-1122)/55)/(147/(-245))
34
(-16560)/(-2576)*11/(-33)
-15/7
Evaluate (198/30)/((-2)/10 + 128/20 + -6).
33
-6 - (24/(-76))/(15/(-292 + 7))
-12
What is the value of 1*((-46002)/(-10455))/(16/(-10)*(-78)/(-24))?
-11/13
Calculate 2/51*1467/326*(-2)/6*-4.
4/17
What is the value of 13554909/684180 - (-1)/(-84)?
99/5
What is (-16962)/13878 + (-248)/18?
-15
What is (-2)/21 - (-350080)/2710932?
2/59
Evaluate (-12)/10*(7 + ((-11718)/(-72))/(-21)).
9/10
(29 + -31)/((-2380)/(-129570)) + 4/(-34)
-109
Calculate (-1918)/(-63) + 476/(-1071).
30
Calculate -15*(-5 - 817/(-171))*-3.
-10
What is the value of (-4460)/(-75) + (428 - 487)?
7/15
Calculate ((-10)/250)/((5642/(-65))/(-7) - 13).
1/15
What is the value of (-2)/(-7) - (-4830)/(-24794)?
1/11
What is the value of -2*11/(-8) - (64848/448 + -51)?
-91
Evaluate (-129)/(-4)*((-120)/(-114))/5 - 2345/335.
-4/19
What is (-8094 - -8030) + (-622)/(-10)?
-9/5
Evaluate -27 - (-49 - 29) - 101.
-50
What is (-39)/(78/8)*(111/12 + -10)?
3
15 - 477*(-9)/(-81) - -30
-8
Evaluate 14/175*(252/(-48) - (-1)/(5/20)).
-1/10
Calculate 74/4*((-1012)/23 + 42).
-37
Evaluate (((-165966)/1390)/(-199))/((-6)/26).
-13/5
Calculate (3/45)/(((-9718)/1935)/(-113)).
3/2
What is the value of (-19 + 695/35)*14?
12
Evaluate (26424/(-504) - -55)*(13 - -1).
36
(-18)/72*(368 + (-136)/(-34))
-93
Calculate 53/4 + 21/(-18)*(-11 - -17).
25/4
Calculate (-2)/22 + 596/(-745)*(-635)/22.
23
Calculate (-2 - 134/(-5))/(816/(-2040)) - (-7 + -1).
-54
What is the value of (-5)/2 + (-130854)/(-2316)?
54
985473/12825 + (-3 - 158/(-50))
77
What is (704/(-55))/((-1)/(35/(-392)) + -10 + -1)?
-64
(2/150)/(5341/(-2289)*(3 + (-123)/42))
-2/25
Calculate ((-394)/(-6501))/((-8)/8).
-2/33
What is 28077/(-1274) + (-51)/(-1326)?
-22
What is the value of 26/(-195)*(76/(-16) + -1 + 7)?
-1/6
What is the value of 306/(-119)*14/(-3) - ((-451792)/1100)/(-34)?
-2/25
What is the value of (-236 - -198)/((-13)/(-2) + -6)?
-76
What is the value of ((-90)/(-75))/(110/(-165))?
-9/5
Calculate 31 + (-10)/1 + 7/(-7).
20
Evaluate (-480)/4830 - (-11 - 380/(-35)).
1/23
Calculate (5/9 + 1)*((-2)/6 - (-35075)/29463).
4/3
What is (-129150)/(-88970)*(-465)/(-9)?
75
Calculate -35 + ((-945)/675 - (-342)/5).
32
What is the value of (-12)/3 + 30/27 + -1 + 78540/(-12852)?
-10
What is the value of (-1006 - -1001) + 225/21?
40/7
282/21 + (-381)/889
13
Calculate (7 - 96) + 155791/1743.
8/21
(-8792)/3140*10/(-24)
7/6
What is the value of ((-2)/(-6))/(2/14 + 954/(-6237))?
-33
Evaluate 696/(-72)*-16*(-15)/400.
-29/5
Evaluate ((-129385)/(-57630) + (-7)/3)/(2 + 1).
-1/34
What is the value of (-160 + (-682)/(-11))*((-5)/25)/(4/(-10))?
-49
84/(-8)*6/21*(-43 + 36)
21
Evaluate (2*-2)/2 + 476/(-170)*30*1.
-86
What is (88/(-24) + -3)*(-63)/(-252)?
-5/3
Evaluate (-875083)/(-3135) + -279 + (-884)/6855.
2/457
(-1083)/(-133) + 5250/(-392)
-21/4
What is the value of ((-4)/54)/(183/122*434/(-189))?
2/93
Calculate (6/(-10) - -1) + (-2500896)/(-57360).
44
5*(-2193)/215 + 55
4
Calculate 131/((-222831)/84924) + 50.
2/27
Calculate (-1748)/4807 + 411/66*6.
37
What is the value of 585/10140*4/(-6)?
-1/26
What is the value of (-3)/(-55)*7370/1340 - 508/(-40)?
13
What is 1530/(-2555) - 44*(-65)/5005?
-2/73
What is the value of (-72)/231*((-3)/((-72)/140))/(3070/1842)?
-12/11
What is (((-2)/12)/(203/(-2639)))/(2/24)?
26
Evaluate (-41 - -81)/(2*-1 + (-23 - -8)/(-5)).
40
Evaluate 22/(-231) - (-320)/(-2016)*(150/(-145) + 0).
2/29
Evaluate (-8)/(-16)*-34 + (154 - 61).
76
What is the value of (9 + (-231)/28)/((-9)/(-198))*-2?
-33
What is the value of 21/(-462)*11 + (-8979)/(-246)?
36
What is the value of (-3)/((-252)/(-230)) - 50/(-560)*88/110?
-8/3
What is (3 - ((-686)/(-56) + -10))/((-30)/368)?
-46/5
Evaluate (368/(-30))/(4/10) - (-10516)/2868.
-27
(-798)/(-84)*38/26714
1/74
52/(7436/(-2365)) - (-12)/(-26)
-17
What is (-17 - -14)/(-9 - 2 - 3*1776/(-504))?
7
((-3)/(-3))/((-210)/342 - (70/15)/(-7))
19
Calculate -1 - ((76/5)/(-4))/4 - (-3422)/22040.
2/19
What is ((-16)/40)/(-28*(8556/1395 - (-1 - -7)))?
3/28
Evaluate (280/240)/((-10)/60)*(-3 + (-1 - -3)).
7
524/(-595) - 2/9*32895/(-310675)
-6/7
Evaluate 4/30 - 1354/(75*6/15).
-45
What is ((0 + 0 - -4) + (-2230)/1338)/((-13)/117)?
-21
What is (2 - -22)/((-310)/(-30) - 33)?
-18/17
What is the value of 46/(160/12 - (-24 + (0 - -38)))?
-69
Evaluate (-25)/20 + ((-70)/10 - (-85)/4).
13
Evaluate ((-12)/(-20))/(180/(-200))*(-30)/(-2).
-10
(-19944)/831 + (-72 - -4)
-92
Evaluate (4 + -166)/(-3) - (-1573)/(-143).
43
Calculate (-8 + 2496/(-234))*(-3)/21.
8/3
What is the value of (20/138)/((-895873)/5819 - -154)?
10/3
What is (-32 + 670/20)*(-3)/864*4?
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
= -7936*g + 1793542. Give l(226).
6
Let p(l) = 3198805*l + 31988048. What is p(-10)?
-2
Let l(q) = 11*q**3 - 233*q**2 - 957*q + 4. Determine l(-4).
-600
Let r(p) = 16377*p + 671396. Calculate r(-41).
-61
Let i(q) = -21*q**2 + 55*q - 710. Give i(17).
-5844
Let i(g) = g**3 - 18*g**2 - 94*g + 149. Give i(21).
-502
Let q(k) = -102*k**2 + 96*k + 179. Calculate q(-2).
-421
Let q(b) = -107*b**2 + 5672*b - 39. What is q(53)?
14
Let i(q) = 5*q**3 + 36*q**2 - 7*q + 7. Determine i(0).
7
Let u(v) = v**3 - 21*v**2 - 396*v + 39. Calculate u(-12).
39
Let c(u) = 125045*u + 1125405. Determine c(-9).
0
Let w(z) = 240*z + 26432. Calculate w(-110).
32
Let p(o) = 501*o + 170333. Give p(-340).
-7
Let z(q) = 8*q**3 + 2*q**2 - 140*q + 2. What is z(0)?
2
Let a(s) = -7*s**2 - 910*s - 2803. Give a(-126).
725
Let r(q) = 24*q**3 - 274*q + 275. Calculate r(1).
25
Let v(a) = 23*a**2 + 2254*a - 2254. Give v(1).
23
Let v(i) = -22*i**3 + 86*i**2 + 18608*i - 74405. Calculate v(4).
-5
Let n(l) = -6*l**2 - 238*l + 3778. Determine n(17).
-2002
Let j(o) = 248*o**3 - 87051*o**2 + 1051*o + 689. Determine j(351).
-13
Let m(y) = 2*y**3 + 330*y**2 - 339*y - 852. What is m(-166)?
310
Let u(p) = 87*p + 1691. Determine u(-13).
560
Let l(b) = -28*b**2 + 3019*b + 624. Give l(108).
84
Let q(a) = 4*a**2 + 759*a - 5861. Give q(8).
467
Let t(k) = 7*k**2 + 3064*k - 123971. Calculate t(-475).
4
Let v(u) = -u**2 + 687*u - 19709. Calculate v(30).
1
Let p(o) = -6060*o - 24. Give p(0).
-24
Let z(a) = a**2 - 125*a + 3544. Determine z(34).
450
Let s(j) = -6*j**3 + 175*j**2 - 367*j + 29143. What is s(32)?
-9
Let p(f) = -6*f**2 + 84*f + 74. What is p(21)?
-808
Let p(o) = -47*o - 8004. What is p(-148)?
-1048
Let s(v) = -v**2 + 44030*v + 616621. Determine s(-14).
5
Let x(o) = 1347*o - 11775. What is x(8)?
-999
Let m(o) = o**2 + 273*o + 4610. Determine m(-17).
258
Let d(p) = p**3 - 8*p**2 - 10*p - 16. Give d(20).
4584
Let i(t) = 2*t**3 - 364*t**2 + 692*t + 5030. Calculate i(180).
-10
Let m(o) = o**2 - 1100*o - 5. What is m(0)?
-5
Let t(q) = -q**2 - 58*q - 370. What is t(-22)?
422
Let y(a) = 23760*a - 57475445. What is y(2419)?
-5
Let a(y) = -4*y**3 + 914*y**2 - 1362*y + 331. Determine a(227).
331
Let x(c) = -3*c**3 + 39*c**2 - 27*c + 6. Calculate x(12).
114
Let b(z) = 14*z**2 - 509*z + 3. Determine b(2).
-959
Let g(z) = -3714263*z + 14857056. Give g(4).
4
Let o(s) = -2*s**3 + 107*s**2 - 23*s - 155. What is o(9)?
6847
Let y(s) = 38*s**2 + 20829*s - 18110. Give y(-549).
7
Let k(a) = -31*a**2 - 168*a + 5. Determine k(-7).
-338
Let z(l) = 133850*l + 22085248. What is z(-165)?
-2
Let o(u) = 15340*u - 537011. Calculate o(35).
-111
Let x(q) = -q**3 - 50*q**2 - 599*q - 900. Give x(-32).
-164
Let g(r) = -r**3 + 39*r**2 - 40*r - 28. What is g(38)?
-104
Let l(s) = -3613*s + 25361. What is l(7)?
70
Let k(x) = 6*x**3 - 6*x**2 - 6*x + 6. What is k(6)?
1050
Let l(z) = 8*z**3 + 16*z**2 + 75*z - 491. Give l(6).
2263
Let a(v) = 3978*v - 99443. Calculate a(25).
7
Let z(v) = -v**3 + 11*v**2 + 528*v - 6678. Calculate z(21).
0
Let n(m) = -7*m**2 - 102*m - 446. What is n(-15)?
-491
Let x(j) = 7992*j + 47965. Calculate x(-6).
13
Let f(n) = -2*n**3 + 403*n**2 + 586*n + 4057. What is f(203)?
-612
Let x(k) = k**3 - 29*k**2 + 424*k + 18301. Calculate x(-16).
-3
Let c(v) = -3*v**3 + 2409*v**2 + 4867*v + 80. What is c(-2)?
6
Let v(d) = -119*d**2 + 64*d + 53. Determine v(-1).
-130
Let k(y) = -y**3 - 37*y**2 - 188*y + 389. Determine k(-31).
451
Let c(n) = 3*n**3 - 140*n**2 - 46*n + 5474. What is c(46)?
-874
Let l(j) = 2873*j**2 - 123540*j + 35. Calculate l(43).
-8
Let g(y) = 3*y**3 + 101*y**2 + 803*y + 11. Calculate g(-25).
-3814
Let g(f) = -2*f**3 - 64*f**2 + 547*f + 17495. Determine g(-32).
-9
Let y(q) = -4*q**3 + 180*q**2 + 403*q + 52. Calculate y(-2).
-2
Let m(w) = 344618*w + 1378465. What is m(-4)?
-7
Let d(v) = 1842*v - 51644. What is d(28)?
-68
Let w(f) = -f**3 + 55*f**2 - 203*f - 356. Give w(51).
-305
Let x(b) = -25*b**2 + 14850*b + 2. Determine x(594).
2
Let v(b) = -137*b + 3061. Determine v(24).
-227
Let i(f) = -f**3 - 17*f**2 + 161*f + 852. Give i(-25).
1827
Let y(n) = n**2 + 383386*n - 2300345. Calculate y(6).
7
Let t(c) = -2*c**3 - 2*c**2 + 17495*c + 34981. Calculate t(-2).
-1
Let o(l) = -l**3 + 72*l**2 - 56*l + 4071. Calculate o(72).
39
Let c(a) = 968*a + 286527. Give c(-296).
-1
Let l(m) = -m**3 - 259*m**2 - 1263*m + 371. Determine l(-254).
-1407
Let f(a) = 4*a**3 + 1355*a**2 - 156*a + 61954. Determine f(-339).
-83
Let h(g) = -10*g**3 - 7*g**2 - 9*g - 7. Give h(-1).
5
Let k(m) = m**3 - 27*m**2 + 14*m - 960. Determine k(28).
216
Let u(h) = -5335*h + 565570. Calculate u(106).
60
Let t(j) = -j**3 + 161*j**2 - 1448*j + 80305. What is t(155)?
15
Let p(r) = 28*r**2 + 313*r - 1772. What is p(7)?
1791
Let h(w) = -w**3 - 29*w**2 + 653*w - 2804. Give h(9).
-5
Let s(u) = -13*u + 3674. Determine s(202).
1048
Let u(w) = 8416*w + 706947. Calculate u(-84).
3
Let b(z) = 190*z**3 + 675*z**2 - 1377*z - 12. What is b(-5)?
-2
Let v(a) = 1683*a - 354445. Give v(211).
668
Let f(s) = -s**3 + 13*s**2 + 519*s - 7538. What is f(16)?
-2
Let k(y) = 1925*y - 58198. What is k(29)?
-2373
Let m(d) = -44283*d + 265192. Calculate m(6).
-506
Let a(k) = -k**2 - 672*k + 192912. Calculate a(-889).
-1
Let j(x) = 627*x + 292183. Determine j(-466).
1
Let p(o) = 24*o**2 + 333*o - 1312. Calculate p(4).
404
Let v(y) = y**3 + 35*y**2 + 18*y + 455. What is v(-33)?
2039
Let y(b) = -28*b**2 - 340*b + 1685. Determine y(5).
-715
Let j(z) = -10*z**2 + 946*z - 1483. What is j(93)?
5
Let h(o) = -2*o**3 - 6*o**2 + 4798*o + 28791. Determine h(-6).
219
Let l(i) = -7430*i - 847013. Calculate l(-114).
7
Let a(l) = -26637*l - 106527. Determine a(-4).
21
Let k(q) = -q**3 + 54*q**2 - 464*q - 87. Determine k(14).
1257
Let j(x) = -x**3 + 40*x**2 + 73*x + 18040. Give j(49).
8
Let f(m) = 996*m**2 - 2984*m - 11. Determine f(3).
1
Let a(n) = 60*n**2 + 868*n - 1467. Calculate a(-16).
5
Let i(b) = -740*b**2 + 7371*b + 314. Give i(10).
24
Let a(t) = -t**3 + 23*t**2 - 41*t + 252. What is a(13)?
1409
Let b(o) = 24*o**2 - 4314*o + 16842. What is b(4)?
-30
Let f(g) = 19150*g + 383128. Calculate f(-20).
128
Let z(f) = 12*f**2 + 358784*f + 717562. Determine z(-2).
42
Let i(z) = z**3 - 57*z**2 + 697*z - 2582. Calculate i(10).
-312
Let o(z) = 3*z**3 + 27*z**2 + 207*z + 313. Determine o(-2).
-17
Let p(s) = 3*s**2 - 51*s - 2120. Calculate p(-21).
274
Let k(r) = -25055*r + 5286623. Calculate k(211).
18
Let o(k) = -30*k**3 - k**2 - 49*k - 24. Calculate o(0).
-24
Let b(q) = q**3 + 18*q**2 + 29*q - 85. Determine b(-13).
383
Let m(v) = -v**3 + 42*v**2 + 3*v - 23. What is m(43)?
-1743
Let n(w) = -1170*w + 159731. Calculate n(136).
611
Let x(c) = -19835*c + 456149. What is x(23)?
-56
Let q(a) = -23*a**3 + 7*a**2 + 70581*a - 70587. What is q(1)?
-22
Let a(i) = 47*i**3 + 3069*i**2 - 12002*i + 278. What is a(-69)?
2
Let r(z) = 456*z + 2478. Give r(-4).
654
Let r(h) = 2*h**2 + 5793*h - 140176. Give r(24).
8
Let x(r) = r**2 + 883*r + 94744. Determine x(-758).
-6
Let d(g) = -251*g - 14776. What is d(-59)?
33
Let c(z) = -120*z - 7111. Determine c(-65).
689
Let j(q) = -3*q**2 + 782*q - 47194. Determine j(95).
21
Let l(x) = 12*x**3 + 301*x**2 + 161*x + 3141. Give l(-25).
-259
Let y(h) = -4*h**3 + 15319*h**2 - 107162*h - 17. Give y(7).
-892
Let j(r) = -r**3 + 11*r**2 + 681*r - 10131. What is j(20)?
-111
Let d(o) = 2*o**3 - 51*o**2 + 322*o - 34. Calculate d(14).
-34
Let v(p) = -p**2 - 521*p - 61856. Give v(-183).
-2
Let a(l) = 2*l**3 + 32*l**2 - 97*l - 1074. Give a(-17).
-3
Let s(c) = -1213*c**2 - 7290*c + 40. Give s(-6).
112
Let b(f) = 248*f**2 + 1251*f - 72. Give b(-5).
-127
Let r(h) = 6*h**3 - 200*h**2 - 170*h + 1154. Calculate r(34).
-2
Let i(v) = v**3 + 154*v**2 - 314*v + 378. Determine i(-156).
690
Let y(v) = -31683*v + 190665. Determine y(6).
567
Let b(s) = -730*s + 8112. What is b(11)?
82
Let x(y) = -13*y**3 + 21*y**2 + 78*y - 5. Give x(-5).
1755
Let t(m) = 5490*m - 296439. Determine t(54).
21
Let c(x) = 1730*x - 124531. Give c(72).
29
Let t(r) = r**3 + 106*r**2 - 3867*r + 140. Determine t(29).
1532
Let l(b) = 4750*b + 1952248. Determine l(-411).
-2
Let v(o) = o**3 + 166*o**2 - 1190*o + 3613. What is v(-173)?
-20
Let p(z) = 3*z**2 + 4036*z + 114541. Determine p(-29).
20
Let g(d) = 122*d + 9877. Calculate g(-
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-1010000000101
In base 11, what is 36 + -982?
-947
In base 14, what is -21 + -24900?
-24921
In base 16, what is -4 - 19a7d?
-19a81
In base 14, what is -3cc5d - -1?
-3cc5c
In base 2, what is 101100001101 + -1101110010?
11110011011
In base 10, what is -16127059 + 1?
-16127058
In base 12, what is -2b796 - -1?
-2b795
In base 9, what is -671 - -16?
-654
In base 4, what is 3 - 3123011?
-3123002
In base 5, what is 230 - 3044?
-2314
In base 9, what is -6264 - -614?
-5550
In base 11, what is -6405 - 118?
-6522
In base 14, what is -b8 + 5ca1?
5bc7
In base 10, what is -17 - 135945?
-135962
In base 8, what is 1 - -10770?
10771
In base 13, what is 5 + -82705?
-82700
In base 2, what is 10011 + 1100110101101000?
1100110101111011
In base 15, what is -254 + 139?
-11a
In base 10, what is -102931 + 4?
-102927
In base 11, what is 2 + 8a539?
8a540
In base 15, what is d177 + 2?
d179
In base 12, what is -1117 + 7a6?
-531
In base 4, what is -231200 + -121233?
-1013033
In base 4, what is 220211302 - 0?
220211302
In base 12, what is 5 - -5251?
5256
In base 6, what is -44234 - 11?
-44245
In base 5, what is 14 + -124200?
-124131
In base 9, what is 3 + 575134?
575137
In base 10, what is 9964 - -456?
10420
In base 4, what is 120203210 + 11?
120203221
In base 13, what is -1552a8 - -4?
-1552a4
In base 12, what is -4 + -b0a?
-b12
In base 13, what is -248 + 7?
-241
In base 3, what is 11001222012 + -12?
11001222000
In base 13, what is 3 + -14ca0?
-14c9a
In base 16, what is bb05 - -6?
bb0b
In base 16, what is -4 + -18007?
-1800b
In base 5, what is 22 - -2444?
3021
In base 3, what is -201111 - -210?
-200201
In base 11, what is -4081 + -101?
-4182
In base 3, what is -212210210 - -20020?
-212120120
In base 12, what is 74 - -aa6?
b5a
In base 2, what is 11100110110110000011 - 11?
11100110110110000000
In base 2, what is -100000000010110100100 - -10?
-100000000010110100010
In base 13, what is -314 + 62b?
317
In base 8, what is 7701 + -7?
7672
In base 7, what is 24331521 + -1?
24331520
In base 3, what is -11 - 100001001?
-100001012
In base 7, what is -3420 + 0?
-3420
In base 11, what is -18a4 + 0?
-18a4
In base 13, what is 156b + -323?
1248
In base 2, what is -1001001 - -100111110?
11110101
In base 14, what is -12bb + -3a?
-1317
In base 4, what is 1131110 + 33?
1131203
In base 11, what is 192 - -4579?
4760
In base 4, what is 3 + -22220321?
-22220312
In base 12, what is 24 + -669?
-645
In base 3, what is -11212 - -1120021?
1101102
In base 12, what is -65 - -8775?
8710
In base 10, what is 1770 + -46?
1724
In base 14, what is 6 - 10509?
-10503
In base 16, what is -18d56 - 2?
-18d58
In base 6, what is -554215 + -1?
-554220
In base 10, what is 18 + 1228?
1246
In base 12, what is 1277 + -10?
1267
In base 9, what is 634453 + 4?
634457
In base 15, what is 5 - -1bbdc?
1bbe2
In base 3, what is 1111112120 - 110?
1111112010
In base 3, what is -100020001202 - 12?
-100020001221
In base 10, what is 137 + -518?
-381
In base 16, what is -23 + -5b?
-7e
In base 8, what is -35204 + 4?
-35200
In base 13, what is 5 + 8c734?
8c739
In base 7, what is -2303 + 54?
-2216
In base 16, what is 5 - -17f996?
17f99b
In base 16, what is 13dea + -7?
13de3
In base 16, what is -36d39 + -2?
-36d3b
In base 16, what is -4b4 - 47?
-4fb
In base 15, what is -239 - b5?
-2ee
In base 14, what is 6d + -2c7a?
-2c0b
In base 14, what is 4 + -63625?
-63621
In base 6, what is -501312 - 102?
-501414
In base 14, what is -4da4 - 6?
-4daa
In base 15, what is -1 - -1a68a?
1a689
In base 3, what is 22222012 + 120?
22222202
In base 4, what is -101 + -1222?
-1323
In base 4, what is 2213233 + 3?
2213302
In base 15, what is -5 - 993?
-998
In base 10, what is -13861 + -3?
-13864
In base 16, what is -15f93 + 1e?
-15f75
In base 2, what is -111110 + -10101010001011?
-10101011001001
In base 2, what is -101010001101100 + -10000?
-101010001111100
In base 3, what is 2110201 + 2201?
2120102
In base 13, what is 2 - -123a17?
123a19
In base 9, what is 4757 + -1136?
3621
In base 14, what is -3 - 9dd00?
-9dd03
In base 14, what is -1c4 + 100?
-c4
In base 9, what is -16 - 3880?
-4006
In base 3, what is -212 - -2202012?
2201100
In base 6, what is 4 + 403132?
403140
In base 13, what is -4 + 19a663?
19a65c
In base 3, what is -1 - -2111211111021?
2111211111020
In base 5, what is -33 - -1300443?
1300410
In base 6, what is -534 - 222?
-1200
In base 14, what is 5d - -38?
97
In base 7, what is -33533 - -5?
-33525
In base 5, what is 231143140 + -1?
231143134
In base 6, what is 13 + -200051?
-200034
In base 9, what is 41265 - 4?
41261
In base 6, what is 2 + -125553?
-125551
In base 7, what is -24 - -50323?
50266
In base 14, what is -21 - -123?
102
In base 15, what is 420 + 4e?
46e
In base 10, what is 729687 - 3?
729684
In base 16, what is 1ebb18 + -1?
1ebb17
In base 16, what is -27c + -4d?
-2c9
In base 2, what is -1010100110001100 - 100100?
-1010100110110000
In base 11, what is -1 - -55046?
55045
In base 7, what is 0 + 13525?
13525
In base 7, what is -123536 - -16?
-123520
In base 5, what is -1 + -113131?
-113132
In base 13, what is 18460 + -5?
18458
In base 2, what is -10110010111011 - -11?
-10110010111000
In base 7, what is -42512 + -11?
-42523
In base 14, what is -5 + -1489a?
-148a1
In base 3, what is -120220002011 + -1?
-120220002012
In base 16, what is -113 + -a23?
-b36
In base 13, what is -b958b1 + -4?
-b958b5
In base 14, what is 5 - -236074?
236079
In base 3, what is -211 + -12121001?
-12121212
In base 2, what is 10010 - -111000011001?
111000101011
In base 4, what is 100123 - 1031?
33032
In base 4, what is -12213 - -123?
-12030
In base 7, what is 4623502 - 2?
4623500
In base 10, what is -444 + 6394?
5950
In base 6, what is 3034 - 514?
2120
In base 3, what is 1011 + -1222101?
-1221020
In base 12, what is -4 - -1456a0?
145698
In base 7, what is -4 + -646151?
-646155
In base 15, what is 9d75 - -4?
9d79
In base 12, what is -22a - -ab?
-13b
In base 7, what is 20 - 32316?
-32266
In base 2, what is 1001000001001001 - -11?
1001000001001100
In base 4, what is 3222 - -10230?
20112
In base 5, what is -33114 - 240?
-33404
In base 7, what is 235561 - -62?
235653
In base 15, what is -ced + -11?
-d0e
In base 4, what is 10331 + 210211?
221202
In base 2, what is -1001 + 11100110001110001?
11100110001101000
In base 15, what is -4244 - 5?
-4249
In base 16, what is -a498 - 2?
-a49a
In base 3, what is 212 + -100010111?
-100002122
In base 7, what is -5 - -1363514?
1363506
In base 13, what is -10ca9 - -5?
-10ca4
In base 3, what is 112 - 12012201?
-12012012
In base 5, what is 0 + -21044444?
-21044444
In base 11, what is -29 + -129?
-157
In base 10, what is 5 - 22811?
-22806
In base 4, what is 2123100013 - -2?
2123100021
In base 9, what is -11243 + -3?
-11246
In base 2, what is 10000101001110 + 10011110?
10000111101100
In base 10, what is 492 - -63?
555
In base 10, what is -19 + 3999?
3980
In base 13, what is -3 - 822b?
-8231
In base 11, what is -a88 + 6?
-a82
In base 12, what is -2643 + -34?
-2677
In base 3, what is -10021001000 + -12?
-10021001012
In base 6, what is -5 + -30115?
-30124
In base 11, what is -222278 - -2?
-222276
In base 16, what is -4 - -1f295?
1f291
In base 2, what is 1101010 + 11111010?
101100100
In base 16, what is e0e7 - -5?
e0ec
In base 4, what is 21301 - -202?
22103
In base 11, what is 39774 + -4?
39770
In base 9, what is -52757 - 16?
-52774
In base 16, what is 7549 + 4?
754d
In base 6, what is -2313 + -33?
-2350
In base 2, what is 101 - 1001101011?
-1001100110
In base 16, what is 17d919 - -1?
17d91a
In base 12, what is -7 + 3999a?
39993
In base 4, what is 2121010 + 11230?
2132300
In base 12, what is -24b8 - 210?
-2708
In base 4, what is -3 - -1333203322?
1333203313
In base 9, what is -1 - 14420?
-14421
In base 14, what is 7b6d - -66?
7bd5
In base 12, what is -2 - aba51?
-aba53
In base 10, what is 132375 - 3?
132372
In base 16, what is 431f - 6?
4319
In base 13, what is 3 - 156b0?
-156aa
In base 6, what is -140552340 - 0?
-140552340
In base 4, what is -10 + -23120011?
-23120021
In base 7, what is 6 - -11453?
11462
In base 12, what is 7993 - 4?
798b
In base 3, what is -212100121 - 1202?
-212102100
In base 14, what is -2 + -30674?
-30676
In base 11, what is -1142 + 52?
-10a0
In base 6, what is -325350 - 33?
-325423
In base 5, what is 1344321 - 33?
1344233
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
of picking 2 j when two letters picked without replacement from {j: 3, y: 9}.
1/22
Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 3, c: 1, w: 2, h: 5, r: 1}.
1/11
Calculate prob of picking 1 c and 2 h when three letters picked without replacement from hhbcb.
1/10
Three letters picked without replacement from {a: 5, w: 3}. Give prob of picking 2 w and 1 a.
15/56
Two letters picked without replacement from {v: 2, p: 3, w: 10, i: 1}. What is prob of picking 1 v and 1 w?
1/6
What is prob of picking 2 k and 1 a when three letters picked without replacement from {a: 4, o: 4, k: 6, v: 1}?
12/91
Calculate prob of picking 1 e and 2 d when three letters picked without replacement from edeedd.
9/20
Two letters picked without replacement from djvvlzl. What is prob of picking 1 z and 1 j?
1/21
Calculate prob of picking 3 f when three letters picked without replacement from fffffcffffcfffcf.
143/280
What is prob of picking 1 d and 3 j when four letters picked without replacement from {j: 3, d: 5}?
1/14
Calculate prob of picking 3 e and 1 z when four letters picked without replacement from {h: 1, e: 7, b: 2, y: 2, s: 1, z: 2}.
2/39
Calculate prob of picking 2 b and 1 c when three letters picked without replacement from lllcbblcbllclbll.
9/280
Four letters picked without replacement from nynynyybnwyyy. What is prob of picking 2 y and 2 b?
0
Two letters picked without replacement from {u: 10}. Give prob of picking 2 u.
1
Calculate prob of picking 2 z and 1 d when three letters picked without replacement from {y: 1, z: 1, d: 1, l: 1, k: 1, m: 2}.
0
Three letters picked without replacement from {z: 4, q: 8, k: 2, c: 5}. What is prob of picking 2 k and 1 q?
8/969
Three letters picked without replacement from {a: 1, n: 3, o: 4}. Give prob of picking 2 n and 1 a.
3/56
Four letters picked without replacement from bbelllllbegl. What is prob of picking 1 g, 2 e, and 1 l?
2/165
Two letters picked without replacement from {y: 4, w: 3, j: 1}. Give prob of picking 2 y.
3/14
Four letters picked without replacement from dddddd. What is prob of picking 4 d?
1
What is prob of picking 1 k, 2 g, and 1 b when four letters picked without replacement from kogoobgkkgkkgggg?
3/52
Two letters picked without replacement from kwwzzgxwnnwgwwnzg. Give prob of picking 1 g and 1 k.
3/136
Calculate prob of picking 1 e, 1 n, and 1 s when three letters picked without replacement from {n: 2, t: 1, e: 1, q: 1, k: 1, s: 1}.
2/35
What is prob of picking 2 l and 1 r when three letters picked without replacement from {k: 4, z: 4, l: 3, r: 3, d: 2, b: 1}?
9/680
What is prob of picking 1 s and 3 b when four letters picked without replacement from {b: 5, d: 1, w: 5, s: 7}?
7/306
Calculate prob of picking 1 n and 1 v when two letters picked without replacement from nvnn.
1/2
Calculate prob of picking 2 c when two letters picked without replacement from {u: 1, a: 1, k: 2, f: 1, i: 3, c: 3}.
3/55
Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqq.
1
What is prob of picking 2 v and 1 a when three letters picked without replacement from aavavvaavavvvaavvaa?
120/323
What is prob of picking 3 q and 1 w when four letters picked without replacement from {w: 6, q: 4}?
4/35
What is prob of picking 2 q when two letters picked without replacement from {q: 2, p: 11}?
1/78
Calculate prob of picking 1 f and 3 p when four letters picked without replacement from pflppffflfl.
1/66
Two letters picked without replacement from {p: 2, g: 2, w: 4, z: 1, e: 1}. What is prob of picking 1 e and 1 z?
1/45
Three letters picked without replacement from {f: 2, d: 2, z: 1, h: 1, a: 4, s: 2}. What is prob of picking 1 z, 1 h, and 1 a?
1/55
Calculate prob of picking 1 s and 1 y when two letters picked without replacement from hsyhuvds.
1/14
Calculate prob of picking 1 i, 1 y, and 1 g when three letters picked without replacement from {g: 2, i: 1, m: 4, y: 6, n: 4}.
3/170
Four letters picked without replacement from vtvttttttvtttttt. What is prob of picking 4 v?
0
Three letters picked without replacement from {m: 1, x: 2, p: 11}. What is prob of picking 1 m and 2 x?
1/364
Three letters picked without replacement from babbojbbbjmobaamb. What is prob of picking 1 o, 1 j, and 1 m?
1/85
What is prob of picking 1 w, 1 n, and 1 f when three letters picked without replacement from {f: 1, w: 1, n: 1, b: 1, v: 5, r: 4}?
1/286
Two letters picked without replacement from xkkkkkxkkkkxkkkk. Give prob of picking 2 x.
1/40
Calculate prob of picking 1 y, 1 t, 1 x, and 1 k when four letters picked without replacement from aktyx.
1/5
Three letters picked without replacement from {e: 1, i: 3}. Give prob of picking 3 i.
1/4
What is prob of picking 1 g and 2 z when three letters picked without replacement from {x: 1, g: 7, d: 3, z: 6}?
21/136
Two letters picked without replacement from {k: 9, b: 1, c: 1}. Give prob of picking 2 k.
36/55
What is prob of picking 1 m, 1 k, and 1 h when three letters picked without replacement from {m: 4, h: 1, k: 3, j: 3}?
4/55
Three letters picked without replacement from kkkkakkakkkkkak. Give prob of picking 3 k.
44/91
Calculate prob of picking 3 b and 1 a when four letters picked without replacement from zbbrbzdrbrizrdbzbab.
35/3876
What is prob of picking 1 q and 2 h when three letters picked without replacement from lqwlqdhlwhwldhqqqq?
3/136
Two letters picked without replacement from pjojppjooopjoj. What is prob of picking 2 o?
10/91
Calculate prob of picking 3 r when three letters picked without replacement from rrrhrrrhrrhrrh.
30/91
Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzkhzhhzhh.
4/9
What is prob of picking 1 e and 1 z when two letters picked without replacement from ztueze?
4/15
What is prob of picking 2 q and 1 x when three letters picked without replacement from {q: 9, x: 3, e: 3, w: 2}?
27/170
What is prob of picking 2 i and 2 f when four letters picked without replacement from fqfqififihwlf?
6/143
Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {v: 5, f: 7}.
7/22
Three letters picked without replacement from {a: 1, s: 1, t: 2, l: 2}. Give prob of picking 2 t and 1 s.
1/20
What is prob of picking 2 f and 1 n when three letters picked without replacement from {n: 2, w: 5, f: 5}?
1/11
Two letters picked without replacement from {m: 4, j: 2, i: 3, d: 1, w: 6}. What is prob of picking 1 i and 1 j?
1/20
What is prob of picking 1 i and 2 c when three letters picked without replacement from cciicc?
3/5
What is prob of picking 2 k when two letters picked without replacement from rrrkkkrr?
3/28
Four letters picked without replacement from {q: 5, k: 2, g: 3, p: 5}. Give prob of picking 2 p and 2 k.
2/273
Two letters picked without replacement from wwwhwhhwbhwbhwwwwww. Give prob of picking 2 b.
1/171
Four letters picked without replacement from {j: 3, k: 1, x: 3, n: 1, a: 2}. Give prob of picking 2 j, 1 a, and 1 k.
1/35
Four letters picked without replacement from {m: 4, a: 1, h: 3, i: 3, c: 8}. Give prob of picking 3 h and 1 a.
1/3876
Two letters picked without replacement from qqtjqqqrqqqrqqq. Give prob of picking 2 q.
11/21
What is prob of picking 1 q and 1 t when two letters picked without replacement from {b: 1, q: 1, f: 1, t: 1, g: 1, r: 2}?
1/21
Two letters picked without replacement from {u: 7, b: 1, g: 4, z: 4, w: 2}. Give prob of picking 2 w.
1/153
Three letters picked without replacement from {w: 2, r: 11}. Give prob of picking 1 r and 2 w.
1/26
What is prob of picking 3 e when three letters picked without replacement from {v: 2, e: 5}?
2/7
Two letters picked without replacement from edooedoeode. Give prob of picking 1 d and 1 e.
12/55
Three letters picked without replacement from atttttttttaatt. What is prob of picking 1 a and 2 t?
165/364
What is prob of picking 3 c when three letters picked without replacement from czccqcqqqqqcz?
5/143
Four letters picked without replacement from {o: 3, n: 2, f: 3, w: 5}. Give prob of picking 1 w, 2 f, and 1 o.
9/143
Two letters picked without replacement from {y: 2, z: 1, e: 7, v: 2, q: 4}. Give prob of picking 1 v and 1 q.
1/15
Two letters picked without replacement from hsh. What is prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
y**2 - y + 1. Let d(o) = -20*o**2 + 22*o - 22. Let i(f) = -2*d(f) - 44*n(f). Give i(s(u)).
-324*u**4
Let t(g) = 0*g - g**2 + 0*g + 0*g. Let n(o) = 6*o. Give t(n(b)).
-36*b**2
Let b(q) = -q. Let h(o) be the second derivative of 0*o**3 + 0*o**2 + 0 + 3/2*o**4 + 3*o. Calculate h(b(y)).
18*y**2
Let f(q) = -2*q. Let z = -7 + 10. Suppose 12 = x + 2*r - 5*r, z*r - 6 = -5*x. Let m(v) = -v - v + x*v. Determine m(f(w)).
-2*w
Let w(d) be the first derivative of 5*d**2/2 - 7. Let o(c) = -2*c. Determine o(w(u)).
-10*u
Let o(h) = -h. Let p(q) = 3*q + 1. Let a be p(1). Let t(k) = -k - 3*k + 3*k - a*k. What is t(o(y))?
5*y
Let v(t) be the first derivative of -t**2/2 + 1. Let c(l) be the second derivative of l**4/6 - 17*l. Give c(v(s)).
2*s**2
Let u(q) = -5*q + 3. Let r(j) = -6*j + 3 + 1 + 0. Let o(s) = -3*r(s) + 4*u(s). Let h(a) be the second derivative of a**4/6 - a. Calculate h(o(w)).
8*w**2
Let g(z) = -4*z**2. Let k(c) = -3*c - 51. Calculate k(g(q)).
12*q**2 - 51
Let s(t) = 9*t + 7. Let d(n) = -4*n - 3. Let r(f) = 7*d(f) + 3*s(f). Let g(o) = 4*o**2 - o**2 + 3*o**2. What is r(g(x))?
-6*x**2
Let t(r) = 3*r - 5. Let m(v) = 4*v - 8. Let y(d) = -5*m(d) + 8*t(d). Let w(g) = -2*g**2. Calculate w(y(z)).
-32*z**2
Let i(q) = -8*q. Let f(d) be the second derivative of -d**3/3 - 6*d. Determine i(f(c)).
16*c
Let u(y) be the first derivative of -y**2 + 9. Let p(w) = 3*w**2 - 2*w. Let o(l) = -l**2 + l. Let t(x) = -2*o(x) - p(x). Calculate t(u(j)).
-4*j**2
Let w(v) = -3*v. Let c(o) = 2*o + 2*o + 2*o - 3*o. Calculate c(w(y)).
-9*y
Let z(y) = y - 44 - 3*y + 44. Let a(s) = -3*s. What is z(a(v))?
6*v
Let t(m) = -4*m. Let r(k) = -37*k - k**2 + 37*k - k**2. What is r(t(o))?
-32*o**2
Let v(h) = 5*h. Let w(p) = 7*p**2 + 6*p + 6. Let u(f) = -13*f**2 - 11*f - 11. Let b(c) = -6*u(c) - 11*w(c). Give b(v(t)).
25*t**2
Let o(g) = 169*g**2. Let s(v) = -v**2. Give s(o(c)).
-28561*c**4
Let k(u) = 4*u**2. Let h(b) = -109*b**2 - 2*b. What is h(k(n))?
-1744*n**4 - 8*n**2
Let f(t) = -5*t. Let z(j) = -82*j**2. Calculate z(f(l)).
-2050*l**2
Let t(k) = 3*k**2. Let p(g) = -g + 15 - 15. Calculate t(p(h)).
3*h**2
Let b(g) = -2*g. Let o(c) = 2177*c. Determine b(o(h)).
-4354*h
Let c(f) = 2*f. Suppose p + 2*m - 6 = 4*m, -3 = 3*p + m. Let h(d) = p*d + d - 2*d. Determine h(c(z)).
-2*z
Let f(n) = -7*n**2 - 6*n - 6. Let l(k) = 6*k**2 + 5*k + 5. Suppose 2*u = 4*u - 10. Let a(z) = u*f(z) + 6*l(z). Let d(w) = -w. Give d(a(y)).
-y**2
Let s(g) = 8*g**2 + 5*g. Let w(x) = 24*x. Give s(w(p)).
4608*p**2 + 120*p
Let p(d) = -2*d**2. Let t(z) be the first derivative of -7*z**2/2 + 2. Calculate p(t(i)).
-98*i**2
Let m(o) be the second derivative of o**3/6 - 2*o. Let r(q) be the third derivative of 0*q + q**2 + 0*q**3 - 1/8*q**4 + 0. Calculate m(r(h)).
-3*h
Let s(y) = -6*y**2. Let u(f) be the third derivative of -f**5/60 - 5*f**2. What is u(s(n))?
-36*n**4
Let y = -42 + 38. Let v(n) = 4*n + 4. Let o(k) be the third derivative of -k**3/6 + k**2. Let t(c) = y*o(c) - v(c). Let q(j) = 2*j**2. Calculate t(q(d)).
-8*d**2
Let d(k) = 2*k + 86. Let x(v) = 6*v. Give d(x(c)).
12*c + 86
Let n(w) = -w**2. Let m(j) = 1. Let l(v) = -2*v + 5. Let g(s) = l(s) - 5*m(s). What is n(g(u))?
-4*u**2
Let r(v) = 4*v**2 - 2*v + 2. Let j = -11 - -6. Let w(c) = -9*c**2 + 5*c - 5. Let t(o) = j*r(o) - 2*w(o). Let m(g) = 9*g. Determine m(t(b)).
-18*b**2
Let h(f) be the second derivative of 5*f**4/24 + 3*f**2/2 - 5*f. Let l(o) be the first derivative of h(o). Let t(j) = 2*j**2. Calculate t(l(b)).
50*b**2
Let w(k) = 4*k. Let r(c) be the second derivative of -c**4/24 + c**2/2 + 2*c. Let y(z) be the first derivative of r(z). Give y(w(n)).
-4*n
Let z(b) = 0*b - b + 0*b. Let v(s) be the first derivative of 0*s**2 + 0*s + 2/3*s**3 + 5. Give z(v(t)).
-2*t**2
Let g(j) = -4121*j**2. Let m(y) = 2*y**2. Give g(m(s)).
-16484*s**4
Let f(m) = -34*m. Let y(z) = 7*z**2. Give f(y(q)).
-238*q**2
Let k(y) = 2*y**2. Let f(p) be the third derivative of 0 + 0*p + 3*p**2 + 1/4*p**4 + 0*p**3. Determine k(f(g)).
72*g**2
Let x(p) = -4*p. Let n(f) be the third derivative of 3*f**4/4 - 3*f**2 - 2*f. Give x(n(c)).
-72*c
Suppose -3*x = 4*t - 2, 0*x - 4*x + 16 = 2*t. Let l(s) = s + x*s - 5*s + 7*s. Let q(y) = 2*y. What is q(l(d))?
18*d
Let o(c) = -c**2. Suppose 0 = -2*r + j, -2*r = -4*r + 3*j - 8. Suppose 4*h - r = 6. Let d(f) = -5*f**h + 2*f**2 + 2*f**2. Determine o(d(m)).
-m**4
Let a(q) = q. Let n(b) be the first derivative of -6*b**2 + 21. What is a(n(i))?
-12*i
Let z(k) = 3*k - 2. Let x(n) = 6*n. Calculate z(x(l)).
18*l - 2
Let y(g) = 3 + 5*g - 1 - 2*g. Let w(k) = -10*k - 7. Let c(a) = 2*w(a) + 7*y(a). Let l(h) = -3*h. What is l(c(t))?
-3*t
Let l(w) = -17*w. Let f(y) be the third derivative of y**4/12 + 18*y**2. Determine f(l(g)).
-34*g
Let s(t) = 3*t. Let a(r) = -1007*r**2. Determine s(a(k)).
-3021*k**2
Let h(r) be the second derivative of -r**5/60 - r**2/2 + r. Let f(b) be the first derivative of h(b). Let l(d) = 4 - 4*d**2 - 4. Give f(l(g)).
-16*g**4
Let g(x) = 5*x**2 - 11*x - 11. Let o(u) = u**2 - 2*u - 2. Let w(z) = 2*g(z) - 11*o(z). Let r(v) = -13*v**2. Determine r(w(m)).
-13*m**4
Let j(x) = -20*x. Let o(g) = -9*g. Calculate o(j(l)).
180*l
Let o(h) = -4*h. Let f(p) = p**3 + 8*p**2 - 2*p - 9. Let n be f(-8). Let m(k) = -k**2 - 3*k**2 - 4*k**2 + n*k**2. Determine o(m(l)).
4*l**2
Let k(l) = -l**2. Let m(n) = -1. Suppose -2*a + 3*a - 3 = 0. Let y(t) = 3*t + 3. Let d(i) = a*m(i) + y(i). Give k(d(b)).
-9*b**2
Let g(u) be the third derivative of -u**5/12 - 13*u**2. Let x(y) = -4*y**2. What is x(g(j))?
-100*j**4
Let z(g) be the first derivative of -1/3*g**3 + 0*g + 0*g**2 + 1. Let r(o) = 5*o**2. Determine r(z(j)).
5*j**4
Let f(z) = -2*z**2. Let k(s) be the third derivative of s**5/60 + s**3/2 - s**2. Let m(u) be the first derivative of k(u). Give f(m(x)).
-8*x**2
Let u(v) = 11*v**2. Let r(n) = -22*n. Calculate u(r(w)).
5324*w**2
Let b(d) be the first derivative of -4*d**3/3 - 6. Let u(a) = -a. Determine b(u(c)).
-4*c**2
Let n(r) = 2*r**2. Suppose 2*h + 3 - 7 = 5*j, 2 = h - 4*j. Let p(f) = -2*f**2 - 4*f**2 + 0*f**h + 5*f**2. Calculate p(n(t)).
-4*t**4
Let o(z) = z. Let k = 1 + -6. Let g(i) = -1 + 3*i + 1. Let d(t) = k*o(t) + g(t). Let r(f) = -2*f. Determine r(d(w)).
4*w
Let q(n) = 19*n**2. Let i(b) be the second derivative of b**4/12 + 25*b. Determine i(q(k)).
361*k**4
Let k(o) = o**2. Let h(l) = -847*l. What is h(k(r))?
-847*r**2
Let f = 8 - 6. Let x(n) = -n**2 + n - 1. Let r(d) = -4*d**2 + 2*d - 2. Let h(p) = f*x(p) - r(p). Let l(c) = 2*c + 3*c - 4*c. What is l(h(j))?
2*j**2
Let s(m) = 6*m. Let c(f) = f. Let j(g) = -5*c(g) + s(g). Let a(v) = -2*v. Determine a(j(y)).
-2*y
Let j(a) = 4418*a. Let b(i) = i. Give j(b(d)).
4418*d
Let o(c) = -c. Let k(u) = u + 1. Let l(d) = 21*d + 18. Let h(z) = -18*k(z) + l(z). Determine o(h(f)).
-3*f
Let l(n) = 9*n - 5. Let p(f) = 14*f - 8. Let k(x) = 8*l(x) - 5*p(x). Let m(w) = 11*w**2. Calculate k(m(d)).
22*d**2
Let n(u) = -2*u**2. Let q be 5/(15/9) + -1. Let x(o) = -7*o**2 + o**2 + 5*o**q. What is n(x(s))?
-2*s**4
Let h(o) be the first derivative of o**3 + 1. Let s(t) be the second derivative of 0 - 1/3*t**3 + t + 0*t**2. Determine s(h(a)).
-6*a**2
Let a(q) = 131*q**2 - 7*q - 1. Let x(w) = -2*w. Determine a(x(c)).
524*c**2 + 14*c - 1
Let d(s) = 4*s. Let b(h) = -333*h**2. Give b(d(q)).
-5328*q**2
Let b(t) be the first derivative of 0*t**2 + 2/3*t**3 + 0*t + 7. Let h(u) = 3*u. Calculate b(h(m)).
18*m**2
Let o(s) = -2*s - s + 2*s. Let a(j) = 5*j**2 - 4. Let v(d) = -d**2 + 1. Let f(i) = -a(i) - 4*v(i). Calculate o(f(b)).
b**2
Let i(f) = f**2. Let c(z) be the first derivative of -z**4/6 - 3*z + 2. Let o(k) be the first derivative of c(k). What is i(o(m))?
4*m**4
Let z(b) = 2*b - 3. Let d(g) = 4*g - 8. Let p(f) = -f + 2. Let q(o) = -4*d(o) - 18*p(o). Let k(l) = -3*q(l) + 4*z(l). Let y(h) = 5*h**2. Calculate k(y(i)).
10*i**2
Let i(b) = 2*b. Let x(l) = -2. Let q(p) = -p + 7. Let t(d) = 2*q(d) + 10*x(d). Give t(i(v)).
-4*v - 6
Let v(q) = 0*q + 4*q - 3*q. Let u(x) be the second derivative of -2*x**3/3 - 3*x. Determine u(v(a)).
-4*a
Let v(q) = q + 9. Let a(l) = -14*l + 0*l**2 + 14*l + l**2. Calculate v(a(r)).
r**2 + 9
Let k(w) = 566*w**2. Let s(g) = -2*g**2. What is k(s(m))?
2264*m**4
Let h(f) be the first derivative of f**4/12 + 6*f - 5. Let v(m) be th
|
{
"pile_set_name": "DM Mathematics"
}
|
*4/12 - 11*u**3/6 + 5*u**2/2 + 2*u. Is p(-9) prime?
False
Suppose -18 = -2*i - 5*k, -2*k + 12 = 4*i - 4*k. Suppose -2 = 3*s - s, -207 = -i*f + 3*s. Is f prime?
False
Suppose 3*t = -i - 2 + 4, -12 = -2*t + 2*i. Suppose -a - 31 = -t*a. Is a a prime number?
True
Let f = -5 - -15. Let p = f - 16. Is (-1)/(p/123)*4 composite?
True
Let q(m) = -m**2 + 6*m - 9. Let j be q(6). Let s = 13 + j. Suppose 5 = 5*v, 131 = k + s*k + v. Is k a composite number?
True
Let p = 988 - -907. Suppose 0 = 5*a + h + h - 2359, -4*a + p = -h. Is a a composite number?
True
Suppose 0 = 2*g + 2*o - 32, 4*g + 3*o - o = 72. Let b(q) = -77*q**3 + 3*q**2 + 4*q + 2. Let k be b(-1). Suppose 2*u - g = k. Is u a composite number?
True
Suppose -2*x - 2*x = g - 7, -x = 2*g - 7. Suppose 3*l - 5*u - 299 = 0, -76 = 4*l + g*u - 494. Is l a prime number?
True
Suppose 3*h + 2*p - 246 = -p, 4*h = -2*p + 330. Is h a prime number?
True
Is ((-706)/(-8))/(6/24) prime?
True
Let p(g) = 6*g**2 + 6*g - 7. Let c be p(-8). Suppose c = f - 50. Suppose 4*a = v + 4*v + f, -3*a - 5*v = -258. Is a a composite number?
True
Let f = -618 + 1273. Is f a prime number?
False
Suppose 3*p + 3*x = 42, -6*p + p + 2*x + 35 = 0. Let i be 16*(-3)/(p/(-30)). Suppose s + q - 73 = 0, -2*s - q + i - 18 = 0. Is s composite?
True
Let b be (-2)/(-14) + 8/(-56). Suppose 4*g = -b*g + 92. Is g a prime number?
True
Let h = 786 - 337. Is h composite?
False
Suppose -1123 = 4*g - n - 5831, 3*g - 2*n - 3531 = 0. Is g prime?
False
Let u = 21 + 4. Suppose -b = 4*b - u. Suppose -122 = -3*m - 4*t, -b*t - 35 = -3*m + 69. Is m prime?
False
Suppose 399 = 3*t + m, t + 4*m = -3*t + 532. Is t a composite number?
True
Suppose -5*o + 2*u + 3285 = 0, 4*o - 1673 = -4*u + 927. Is o a prime number?
False
Suppose -4*u + 160 + 364 = 0. Let c = u + -25. Is c a prime number?
False
Let c = -17 - -91. Is c a composite number?
True
Suppose -w = -129 + 44. Is w a prime number?
False
Let t be (-1 + 1/2)*4. Let r(k) = k**3 + 2*k**2 - 2*k - 3. Let j be r(t). Is 4 + -4 + j*257 composite?
False
Let l(o) = -o**3 + o**2 - 9*o + 23. Is l(-10) a composite number?
False
Let a(k) = k**3 - 8*k**2 + 3*k + 8. Let u be a(8). Suppose -4*l - u = -2*r - 2*r, -4 = r + 3*l. Suppose -643 = -4*j - r*z, 0 = 2*z - 7 + 1. Is j composite?
False
Let d be (2/(-2))/(3/54). Is (4/((-8)/d))/1 a composite number?
True
Let w be ((-1)/2)/(12/(-1320)). Is 22/w - 243/(-5) composite?
True
Let q(m) = m**3 - 3*m**2 - 3*m - 2. Let h be q(4). Suppose 2*a + 5*v = 14, -4*a + v - h = -8. Suppose 2*r - 62 = g, 6*r - a*r - 124 = g. Is r composite?
False
Let w = 5 + -4. Let i = 3 + w. Suppose i*f - 4 - 16 = 4*c, 4*c - 15 = -f. Is f a composite number?
False
Let j(y) = y**3 - 7*y**2 + 6*y - 3. Let t be j(6). Let m = t + 3. Suppose -2*u + 111 + 119 = m. Is u a composite number?
True
Let o = 2320 - 1277. Is o a composite number?
True
Suppose 0*t + 2*t = 2*j - 4, 5*j + 4*t - 10 = 0. Suppose -j*w = -0*w. Suppose 0*k - 3*o + 103 = 2*k, w = -k + 3*o + 56. Is k a composite number?
False
Is -2*2/(-12)*921 a composite number?
False
Suppose 0*b + 10 = 2*l - 5*b, 0 = -5*l + 2*b + 25. Suppose 0 = -3*i + l*r + 193 + 293, r - 486 = -3*i. Let n = i - 109. Is n a prime number?
True
Let z = 343 + 174. Is z prime?
False
Let z(q) = -33*q - 1. Let c be z(2). Let t(l) = -l**3 + 6*l**2 - 3. Let h be t(3). Let b = h - c. Is b a prime number?
False
Suppose -11*r + 854 = -125. Is r a prime number?
True
Suppose -1245 = -11*r + 6*r. Is r a prime number?
False
Let k = -35 + 10. Let w = -35 - -5. Is (k/(-15))/((-2)/w) composite?
True
Let h = 404 + -106. Is h a prime number?
False
Let o = 35 + -2. Is o a prime number?
False
Let p = 221 - -95. Is (-2 - -1)/((-4)/p) a prime number?
True
Suppose -3*s = -8 + 2. Is 314*-2*s/(-8) a composite number?
False
Suppose 2 + 6 = 4*v. Suppose v*n - i = 4*i + 163, -3*n = -4*i - 255. Is n a composite number?
False
Let v(h) = -h + 8. Let k be (10/(-4))/(8/(-16)). Is v(k) a prime number?
True
Suppose -5*q + 2*j + 575 = 0, -3*q - 3*j = -q - 211. Is q a composite number?
False
Let m(v) = 5*v**3 + 9*v**2 + 3*v - 9. Is m(8) a composite number?
True
Let z be 4/(-14) - 2375/(-7). Suppose 6044 - z = 5*k. Is k prime?
False
Suppose 2*m + 2*m = 136. Suppose -4*d - m = -u + 127, 4*u = -5*d + 560. Is u prime?
False
Suppose 2*w = c - 151 + 23, -5*w = -3*c + 381. Suppose t = -s + 34, 3*t + 0*s - s - c = 0. Is t a composite number?
True
Let y(h) = -5*h**3 - h**2 - h - 1. Suppose 0 = n - 5*n - 4. Let d be y(n). Suppose -d*s - b + 201 = -0*s, s + b - 54 = 0. Is s prime?
False
Is 61 + 0/4 + -2 a prime number?
True
Let r(b) be the first derivative of 5*b**3/3 - 7*b**2/2 + 8*b - 1. Let p be r(-6). Suppose p = 4*h - 78. Is h prime?
False
Let t(b) = 14 + 2*b**2 - 3*b**2 - 13*b - 13. Is t(-9) a composite number?
False
Let d(o) = o**2 - o + 26. Let f be d(0). Let j = f - 16. Let w = -7 + j. Is w prime?
True
Suppose -17202 = -2*v - 4*p, -v - 2*v - 3*p = -25815. Is v a composite number?
False
Suppose -5*s = -0*s - 10. Let m(z) = -z**3 + 15*z**s + 0*z**2 + 12*z - 3*z**2 - 17. Is m(12) a composite number?
False
Suppose -m = 5*k - 292, k = m + 3*k - 307. Let j = m - 198. Is j prime?
False
Suppose -3*x + 186 = 2*n - 200, -760 = -4*n - 3*x. Is n a prime number?
False
Let f(o) be the second derivative of o**5/20 + o**4/12 - o**3/6 + 9*o**2/2 - 2*o. Is f(0) prime?
False
Let g be (3/2)/(3/138). Suppose 2*f = -f + g. Is f a composite number?
False
Let p(j) = 85*j + 1. Is p(6) prime?
False
Suppose 2*r = 6, -578 = -w + 3*r - 142. Is w prime?
False
Suppose 0 = 3*o + 4*p - 917, -2*p = 2*o + 3*p - 609. Is o prime?
True
Let k(n) = -322*n - 11. Let q(x) = -107*x - 4. Let b(p) = -3*k(p) + 8*q(p). Is b(3) a prime number?
True
Suppose 2*h = -h. Suppose 4*u + 5*b + 10 = h, 0 = -4*u - 2*b - 0*b - 4. Is 2/((-4)/(-194) - u) prime?
True
Let b = -3597 - -5051. Is b composite?
True
Let r(y) = 12*y. Let l be r(3). Let t be l/21 + 2/7. Suppose -2*p + 80 = -0*p - t*a, -p = -3*a - 46. Is p composite?
False
Suppose 307 - 31 = 4*q. Is q prime?
False
Suppose 0*b + 2*b - 1414 = 4*d, -2*d = 6. Is b a composite number?
False
Suppose 137 + 161 = 2*x. Is x composite?
False
Suppose 3747 = 75*m - 72*m. Is m prime?
True
Suppose -n - 2*k - 45 = -2*n, 2*k = -n + 33. Is n a composite number?
True
Suppose 2*w = -0*w + 638. Is w a composite number?
True
Suppose -4*l + 2*t = -5*l + 345, 0 = -4*l - 5*t + 1392. Is l composite?
False
Let o = -44 + 79. Is o a prime number?
False
Let r = 107 - -48. Is r composite?
True
Suppose m - 3 = -2*m, -2*m = 3*a - 11. Suppose l - a = 6. Let y(z) = 12*z - 13. Is y(l) a prime number?
False
Suppose j + 5*a = 241, -492 = -5*j + 3*j - 5*a. Is j a composite number?
False
Suppose -2*w + 10 + 26 = 0. Let j be 23/6 - (-3)/w. Suppose j*b - 3*b = 97. Is b prime?
True
Suppose -4*g = -3*x - 11, -3*g + 4 = -4*x + 1. Suppose -g - 4 = o. Is (318/o)/((-2)/3) composite?
False
Let i(m) = -m + 9. Let p be i(11). Let l be (-12)/(-5) + p/5. Suppose 3*o = -2*c + 33, -l*c - 3*c - 3*o + 96 = 0. Is c composite?
True
Suppose -2*c - 3*t + 64 = -0*t, c - 5*t - 6 = 0. Let p = c - -17. Is p prime?
True
Suppose 3*b = -0*b + 18. Let j(a) = -a + 11. Let k be j(b). Suppose -g + 232 = k*x + 51, -4*x = 2*g - 140. Is x a prime number?
True
Suppose -2*i + m - 59 = -0*m, -2*i = 3*m + 79. Let c = i - -78. Is c composite?
True
Let z(j) = -2*j**3 - 10*j**2 + 3*j - 20. Is z(-11) a composite number?
False
Let c = 45 - 20. Is c a composite number?
True
Suppose -2*l = -3*q + 624 + 1261, 4*l = -q + 633. Is q prime?
False
Let n = 2 + 2. Suppose n*s - 25 = -s. Suppose -s*r + 2*r + 21 = 0. Is r a composite number?
False
Let z(t) = -2*t - 3. Let b be z(3). Let i(s) = 2*s**2 + 12*s + 4. Is i(b) a composite number?
True
Suppose 0 = -d + 4*d - 2*h - 1993, 0 = 4*h - 16. Is d composite?
True
Let y = -399 - -724. Suppose -n + 6*n = y. Is n a prime number?
False
Is (-47410)/(-90) - (-4)/18 composite?
True
Suppose s + 4*s - 20 = -5*m, 3*s - 4*m + 23 = 0. Let k be s - (-5 + 0) - -1. Let a = 28 - k. Is a a composite number?
False
Let y(i) = -248*i + 3. Is y(-2) a composite number?
False
Suppose 2*a + 5*g - 37 = 0, 0 = 2*a - 6*g + 2*g + 8. Is a/(-2)*114/(-18) a prime number?
True
Suppose z - 20 = -5*s, -3*z - 2*s + 32 = -s. Let f(p) = p**2 - 8*p - 6. Is f(z) a prime number?
False
Let y = 2 - 0. I
|
{
"pile_set_name": "DM Mathematics"
}
|
0.4 (b) -0.4 (c) 9
c
Which is the closest to -2? (a) -0.2 (b) -0.4 (c) 2 (d) 100/59
b
What is the nearest to -1 in 0.4, 387, 75?
0.4
What is the nearest to 0 in -2/5, -0.5, -0.533?
-2/5
Which is the nearest to -3? (a) -0.3 (b) 3 (c) -0.041 (d) -8
a
What is the nearest to 0 in -0.2, 0, -2/13, 2/1661?
0
Which is the nearest to -0.5? (a) 1/24 (b) -5 (c) -4 (d) 36
a
Which is the nearest to 0? (a) 2/9 (b) 2/7 (c) 2025 (d) -12 (e) -4/3
a
Which is the closest to 1/3? (a) 355 (b) 0.2 (c) -187 (d) -2/3
b
Which is the nearest to 38? (a) -3 (b) 3/4 (c) 2.3 (d) -5 (e) 5
e
Which is the nearest to -1? (a) -0.2 (b) 16 (c) -7 (d) -9/4
a
Which is the closest to 2/7? (a) -1/10 (b) -2/11 (c) 693
a
What is the closest to -12/7 in 0.4, -0.28, 1.5, 1/15?
-0.28
What is the closest to -1/2 in 2/15, 0.1, -30?
0.1
Which is the nearest to 1/14132? (a) -5 (b) -3 (c) -1
c
What is the nearest to 2.71 in 1, 4/7, -0.05, 58/5?
1
Which is the nearest to -0.1? (a) 3 (b) 853 (c) -3 (d) 1.4 (e) 0.1
e
Which is the closest to -2? (a) 26 (b) 2/9 (c) -1/2
c
Which is the closest to 30? (a) -0.04 (b) 5/2 (c) -2 (d) 23 (e) 4
d
Which is the closest to 0.9? (a) 3/5 (b) 49/3 (c) 41
a
What is the nearest to 0.1 in -5, 380, 0.1, 1.4?
0.1
Which is the nearest to 0.1? (a) 0.09 (b) -2/105 (c) 2 (d) 240
a
Which is the nearest to 11298/17? (a) 0.4 (b) -4/7 (c) 0.3 (d) 2 (e) 5
e
What is the closest to -226 in 0.3, 0.15, 3?
0.15
Which is the closest to -1149? (a) -3 (b) -0.2 (c) 7/3 (d) 0.5
a
Which is the nearest to 4? (a) 50253 (b) 0.3 (c) 3
c
Which is the nearest to 6.6? (a) -0.4 (b) -7 (c) 0.04
c
Which is the closest to 4/17? (a) 3 (b) 0.21 (c) 4 (d) 4/7 (e) -1/4
b
What is the closest to 2/7 in -1, -0.07, 7, 8, 5?
-0.07
What is the closest to 1/4 in -4, 0.2, 0.1, 1307/20?
0.2
What is the closest to 1 in 0.2, 3, -30463, -0.05?
0.2
What is the closest to -1 in -1, -0.7, 22/19, 2/17, 2?
-1
Which is the nearest to -1? (a) 2/7 (b) 2/29 (c) 1 (d) 0.06 (e) -34
d
Which is the closest to -2/19? (a) 1/5 (b) -0.4 (c) -64 (d) 0.016
d
What is the nearest to 2 in -1, -3, -34, 0.4?
0.4
Which is the nearest to 21? (a) 9.831 (b) -3 (c) -4
a
Which is the closest to 28? (a) -87 (b) -1 (c) 0 (d) 1.2
d
Which is the nearest to 13? (a) 3/26 (b) -12 (c) 1
c
Which is the nearest to 0.1? (a) -4 (b) -37832/3 (c) 4
c
Which is the nearest to -6/7? (a) -2/223 (b) -2 (c) -1 (d) -0.4 (e) 7/4
c
Which is the closest to 1? (a) 5 (b) -10/19 (c) 16 (d) 3
b
What is the closest to -1 in -3, 10, -9, 0?
0
Which is the nearest to 225? (a) -13 (b) 1/3 (c) 0.1 (d) -5 (e) 3/2
e
What is the nearest to -1 in -2/9, -0.2, 16.96?
-2/9
What is the closest to -0.0555 in 0.054, 3, 1?
0.054
Which is the nearest to -3? (a) 2559 (b) 2/13 (c) 1
b
What is the closest to 79/30 in 2/17, 1/5, -13?
1/5
Which is the closest to -2/3? (a) -2 (b) 14 (c) -3 (d) 0.3 (e) -0.109
e
What is the nearest to -0.1 in 0.5, -1/45, 5, 2, 0?
-1/45
Which is the closest to 1.62? (a) -4 (b) 8 (c) -45
a
Which is the closest to 0.2? (a) 1 (b) 0.7 (c) -4 (d) 2 (e) 7/4
b
What is the nearest to -1 in -4/3, -2/11, -112, -0.14?
-4/3
Which is the closest to -4? (a) 2/9 (b) -34 (c) 2/3
a
Which is the closest to -0.1? (a) -3/7 (b) -0.5 (c) 0.04 (d) 0.6 (e) 0.4
c
What is the nearest to -21/8 in 0.116, -2, -3/4?
-2
What is the closest to 11/3 in 0.1, 2, -16, 1?
2
What is the closest to -6/97 in -4, -1/4, -3?
-1/4
What is the closest to -3 in -12/7, 0.2, 17?
-12/7
Which is the closest to -241? (a) 0 (b) -5 (c) -5296
b
Which is the closest to -1384? (a) 13/2 (b) -1/6 (c) 3/2 (d) -0.2
d
Which is the nearest to 1/4? (a) -38 (b) 2.24 (c) 5
b
Which is the closest to -3/5? (a) -3/8 (b) 1 (c) -0.3 (d) 1/3
a
What is the nearest to 11 in -0.6, 0.3, -7?
0.3
Which is the nearest to 7? (a) 3 (b) -3/5 (c) 1/1831 (d) 0.4 (e) -1
a
What is the nearest to 5 in -1, 0.5, 6/7, 8?
8
What is the closest to -2 in 2, -0.016542, -0.4?
-0.4
Which is the nearest to -5? (a) 18 (b) 3/5 (c) -0.2 (d) -4
d
What is the closest to 0 in -1128, -5/9, -2?
-5/9
Which is the closest to 13? (a) -0.09 (b) 10 (c) -2/13 (d) 5 (e) -4
b
What is the nearest to -2 in 4, -11, 0.2, -41.834, 0.4?
0.2
Which is the nearest to 2? (a) -285.3 (b) 1 (c) 2
c
What is the nearest to 2/5 in 705, -1, 5, 4, -0.1?
-0.1
What is the nearest to 1 in 1/4, 14, -5, -9, -0.092?
1/4
Which is the nearest to 0.4? (a) -0.15 (b) 5 (c) -0.3 (d) -20
a
What is the nearest to -2/3 in -2113/2, 7, 3/4?
3/4
What is the closest to 3.5 in -72, -3, -0.5, 0?
0
Which is the nearest to -2/13? (a) -0.86 (b) 7 (c) -2 (d) -0.1
d
What is the nearest to -2/5 in -1.1, 6, -6, 14?
-1.1
What is the nearest to 2 in 0.428, 1/16, 0.1, -0.2, 1/5?
0.428
Which is the closest to 2? (a) 3/8 (b) -5 (c) -3 (d) 0.1 (e) 2
e
What is the nearest to -6 in -5, -27725, -3/4?
-5
What is the closest to 1 in -20305, -1/6, -32/3?
-1/6
Which is the nearest to -76? (a) 5 (b) 0.04 (c) 1
b
Which is the nearest to 1.4? (a) -1/46 (b) 2/13 (c) -3/4 (d) -0.09
b
What is the closest to 4594 in 4, 2/3, -1.4?
4
What is the closest to 23/12 in 0.4, -0.5, 2/9, 2?
2
Which is the closest to -2/9? (a) -2 (b) -235 (c) -6/11 (d) -13
c
What is the closest to -1 in -1, 5, -2, 33?
-1
What is the nearest to 5 in -1/2, -361, -3?
-1/2
What is the closest to 1/4 in 1/3, -1, 6218.9, 2/9, 1/2?
2/9
Which is the closest to 2/7? (a) 0 (b) 5/2 (c) 3 (d) -34
a
Which is the nearest to 8/3? (a) 11 (b) 24 (c) 1 (d) -112
c
What is the nearest to 4/3 in -0.03, -26, -0.06, 32?
-0.03
Which is the closest to -1? (a) 0.2 (b) 4/5 (c) 6 (d) 2/7 (e) 28
a
What is the closest to 0 in -3, 50, 35, -2/3?
-2/3
What is the nearest to -0.29 in 11, -7/2, -1/10?
-1/10
What is the nearest to -3/1555 in 5, -1/10, 12, -1, 0.4?
-1/10
What is the closest to 0.1 in -4, -0.5, 2/457, -3, 8?
2/457
What is the closest to -2/9 in 1/6, -0.7, 7/2?
1/6
Which is the closest to 3? (a) -150 (b) -0.4 (c) -435 (d) -2/7
d
What is the closest to -0.2 in -7/9, -119, -0.5, 1/6?
-0.5
What is the nearest to 6 in -9.5, 5, -0.04, -2/5?
5
What is the nearest to 158 in -1/4, 5, 0.1, 1, -0.6?
5
What is the closest to 9/2 in 0.5, -0.5, -207/7, -0.2?
0.5
What is the nearest to 0.1 in 2/63, 0.4, 245?
2/63
Which is the closest to 80/39? (a) 3/4 (b) -5 (c) -12
a
Which is the nearest to -1/13? (a) 1.21 (b) 5 (c) -8 (d) 4 (e) -0.4
e
Which is the closest to -1? (a) 1/52 (b) 1/6 (c) -0.03 (d) -5
c
What is the nearest to -0.0354 in -0.2, 0.4, 5.8, 2/9, 2?
-0.2
What is the closest to 874 in 0.2, 2/5, -2/5?
2/5
What is the closest to 0.1 in 15, -2, -1/6?
-1/6
What is the nearest to 2/7 in 0, -0.031, -1, -0.1, 1163?
0
Which is the closest to 0.1? (a) -2 (b) 13/15 (c) -336 (d) -19/2
b
What is the nearest to -16 in 1/4, 0.2, 2/513, -0.05, 0.4?
-0.05
Which is the closest to -2/5? (a) -7 (b) -1 (c) -23460 (d) -4
b
What is the nearest to 0.1 in 3, -0.08, 18/11, -0.11, -5?
-0.08
What is the nearest to -66/5 in 6, -7, -2/9?
-7
What is the closest to 0.2 in 6/5, -9665, -1/3?
-1/3
What is the closest to -1/4 in 1/6, -0.264, -0.2, -5?
-0.264
What is the nearest to 4 in 4/43, 10, -6?
4/43
Which is the closest to -77? (a) -904 (b) 0.2 (c) -0.4 (d) -4
d
Which is the closest to 2? (a) -0.1 (b) 0.2 (c) 0 (d) -9
b
What is the nearest to -2 in 1/12, 320, 9?
1/12
What is the closest to 2/7 in 6, 107, -0.3, -0.19?
-0.19
What is the closest to -21/8 in 5, 1/4, -3?
-3
What is the closest to 1 in -2/589, -2/11, 12, 6, 2/11?
2/11
Which is the closest to 0.1? (a) -4/7 (b) -2/7 (c) -16/1291 (d) 6/13
c
Which is the nearest to -3? (a) -0.2 (b) 444 (c) 1
a
Which is the nearest to 77/60? (a) 1/3 (b) 1 (c) 4 (d) -4/7 (e) -0.5
b
Which is the closest to 27? (a) 1 (b) 6 (c) -4 (d) 150 (e) -2/7
b
Which is the nearest to 16? (a) 0 (b) 4 (c) 2/37 (d) -63
b
Which is the nearest to -12? (a) 0.76 (b) -0.7 (c) -2 (d) 0.2
c
What is the nearest to 0.2 in -3, -1/3, -3597, -5?
-1/3
What is the nearest to -0.1 in 5, 1/7, 415427?
1/7
What is the closest to 1 in 3, -845, -1/2, 2?
2
What is the nearest to 1.9 in 66, -0.05, 1?
1
What is the nearest to 5/6 in -15, 0.1, 47?
0.1
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
4/6 + 21/9. Suppose -3*o = -2*o - 2*z + 7, -o + 23 = 4*z. Factor 5*w**4 - 4*w**o + 20*w - 15 - 13*w**i - 3*w**3 + 10*w**2.
5*(w - 3)*(w - 1)**2*(w + 1)
Let g = -1781690/11 - -161972. Factor 8/11*i**3 - 32/11*i + 32/11 - g*i**4 + 0*i**2.
-2*(i - 2)**3*(i + 2)/11
Let a(i) be the second derivative of 0 + 129*i + 1/6*i**4 + 20/3*i**3 - 44*i**2. Factor a(l).
2*(l - 2)*(l + 22)
Let v = 289999/42 - 41419/6. Factor -12/7*o - 1/7*o**2 - v.
-(o + 1)*(o + 11)/7
Let k(q) be the first derivative of q**5/5 - 17*q**4/4 + 32*q**3 - 104*q**2 + 128*q + 1735. Factor k(v).
(v - 8)*(v - 4)**2*(v - 1)
Let o = 5 + -41. Let j = o - -38. Factor 0*x + 14*x - 4*x**2 - 8 - j*x.
-4*(x - 2)*(x - 1)
Suppose 0 = -44*u - 476 + 476. Let r(x) be the second derivative of -1/8*x**3 - 1/4*x**2 + u - 35*x - 1/48*x**4. Factor r(z).
-(z + 1)*(z + 2)/4
Let q(t) be the second derivative of -t**6/2 - 20*t**5 + 45*t**4/4 - 2086*t. Factor q(i).
-5*i**2*(i + 27)*(3*i - 1)
Suppose 11*i + 3880 = -762. Let h = i - -425. Suppose 6*b - 8/3 + 2/3*b**h - 4*b**2 = 0. Calculate b.
1, 4
Let p(z) be the first derivative of -7*z**5 + 865*z**4/4 - 4055*z**3/3 + 4755*z**2/2 + 1710*z - 1525. Solve p(f) = 0 for f.
-2/7, 3, 19
Suppose -6006*w + 6096*w = 243 - 63. Factor -18/5*v**w - 28/5 + 46/5*v.
-2*(v - 1)*(9*v - 14)/5
Let n(d) = d**3 - 30*d**2 + 22*d - 205. Let u be n(29). Let t = u - -410. Factor -2/5*b + 2/5*b**3 - 2/5 + 2/5*b**t.
2*(b - 1)*(b + 1)**2/5
Let b = -3879 - -3883. Let d(a) be the first derivative of -23 + 0*a + 3*a**2 + 1/3*a**6 + 12/5*a**5 + 6*a**b + 20/3*a**3. Suppose d(s) = 0. Calculate s.
-3, -1, 0
Let k = 51137659/63420 + 1/63420. Let r = k - 805. Factor -2/3*v**2 + 2/3*v**4 + 4/3*v - r*v**3 + 0.
2*v*(v - 2)*(v - 1)*(v + 1)/3
Let s be 7/98 + (-2)/(224/(-248)). Suppose 4/7*u**4 + 0*u**2 - 2/7*u**5 + s*u**3 + 0 + 0*u = 0. Calculate u.
-2, 0, 4
Let x = 1906 - 1830. Suppose -28*h = -x*h. Determine o, given that 8/9*o**2 + h - 8/9*o**4 + 2/3*o - 2/3*o**3 = 0.
-1, -3/4, 0, 1
Suppose -58 = -b + 531. Let f = 589 - b. Factor f - 3/2*l**3 + 0*l - 1/3*l**2.
-l**2*(9*l + 2)/6
Let h = -5470 - -5465. Let w(x) = x - x**2 + 5*x - 5*x + 1. Let s(z) = -30*z**2 - 15*z - 5. Let q(k) = h*w(k) - s(k). Factor q(u).
5*u*(7*u + 2)
Let w be 64/18*3/4. Suppose 4*c = 4*r + 12, -1 = 383*r - 382*r. Factor 8/3*m - w - 2/3*m**c.
-2*(m - 2)**2/3
Let s be (-144)/(-120)*(-260)/6. Let i(z) = -18*z**2 - 260*z + 278. Let o(n) = 2*n**2 + 29*n - 31. Let v(x) = s*o(x) - 6*i(x). Factor v(a).
4*(a - 1)*(a + 14)
Solve 1728/7*x - 248832/7 - 3/7*x**2 = 0 for x.
288
Suppose 0 = 68*p - 55605 + 55333. Factor -10/3*x**3 - p - 1/3*x**4 - 29/3*x**2 - 32/3*x.
-(x + 1)**2*(x + 2)*(x + 6)/3
Suppose -4*s - x + 5 = 0, 5*s - 4*s = -5*x - 13. Solve 6*t**3 + 19*t**s + 6*t**2 + 45*t - 9*t**3 + 17*t**2 = 0.
-1, 0, 15
Let h(p) be the first derivative of 3/4*p**4 + 3*p + 33 - p**3 - 3/2*p**2. Factor h(b).
3*(b - 1)**2*(b + 1)
Suppose -6972 = 30*i - 16*i. Let f = i - -500. Factor -1/3*d - 1/2 + 1/6*d**f.
(d - 3)*(d + 1)/6
Let l(o) be the second derivative of o**5/5 + 14*o**4/3 + 64*o**3/3 - 256*o**2 + 4363*o. Factor l(m).
4*(m - 2)*(m + 8)**2
Determine b so that 8/7*b**3 + 578/7*b + 584/7*b**2 + 144/7 = 0.
-72, -1/2
Let p(r) be the second derivative of 0 + 1/45*r**6 - 11/30*r**5 - 28/9*r**3 + 0*r**2 - 182*r + 16/9*r**4. Factor p(c).
2*c*(c - 7)*(c - 2)**2/3
Let h(p) be the third derivative of -p**6/240 - 25*p**5/24 - 61*p**4/6 - 121*p**3/3 + 558*p**2. Factor h(b).
-(b + 2)**2*(b + 121)/2
Let m = 141571/66 + -2145. Let b(q) be the third derivative of 1/11*q**3 - 1/330*q**5 + 14*q**2 + 0 + 0*q + m*q**4. Factor b(h).
-2*(h - 3)*(h + 1)/11
Let p(w) = -3*w - 6. Let r be p(-3). Suppose 6*t - 27 = r*t. Factor t*c - c**2 + 0*c + 21 - 15 + 4*c**2.
3*(c + 1)*(c + 2)
Let w(c) be the first derivative of c**6/90 - c**5/5 + 12*c**3 + 104. Let f(h) be the third derivative of w(h). Factor f(p).
4*p*(p - 6)
Let m(b) be the second derivative of b**6/15 - 13*b**5/10 + 11*b**4/3 + 2135*b. Find u such that m(u) = 0.
0, 2, 11
Let f be (-6765)/(-10) + (-2)/(-4). Let u = f + -674. Find d such that 4/5*d**2 + d**u + 1/5*d + 0 + 2/5*d**4 = 0.
-1, -1/2, 0
Let c = 47/225 + 9/50. Let h = 167/126 + c. Factor 3/7*n**2 + 9/7 + h*n.
3*(n + 1)*(n + 3)/7
Let o(n) = 7*n**2 - 1112*n - 304716. Let c(r) = -19*r**2 + 3334*r + 914145. Let u(t) = -4*c(t) - 11*o(t). Factor u(p).
-(p + 552)**2
Suppose 13 = 8*p - 11. Solve 140*u - 14 + 4*u**p + 4*u**3 - 76*u**2 - 4*u**3 - 54 = 0.
1, 17
Let l(v) = -v**4 - v**3 - 2*v + 1. Let w(h) = -28*h**4 - 313*h**3 - 96*h**2 + 22*h - 11. Let f(j) = -11*l(j) - w(j). Factor f(r).
3*r**2*(r + 8)*(13*r + 4)
Let h(i) be the second derivative of i**7/3780 - i**6/1080 - 3*i**4/2 + i**3/3 - i + 7. Let c(q) be the third derivative of h(q). Factor c(o).
2*o*(o - 1)/3
Let i(j) = -3*j**2 + 6582*j + 3544713. Let f(v) = v**2 - 10*v - 1. Let p(l) = -6*f(l) - i(l). Factor p(r).
-3*(r + 1087)**2
Find c, given that 1/9*c**2 - 44/9*c - 92/9 = 0.
-2, 46
Factor -143*c + 71 - 881*c**2 + 476*c**2 + 478*c**2 - c**3.
-(c - 71)*(c - 1)**2
Let z = 147053/35 - 29195/7. Factor z*k**3 + 98/5*k**4 + 64/5*k**2 + 0 + 8/5*k.
2*k*(k + 1)*(7*k + 2)**2/5
Let x = 3622 - 21707/6. Let k(r) be the second derivative of 5/12*r**4 - 4*r + 15/2*r**2 - 1/4*r**5 + 0 + x*r**3. Factor k(q).
-5*(q - 3)*(q + 1)**2
Let m(a) be the first derivative of 0*a - 3/32*a**4 + 0*a**2 + 56 + 7/4*a**3. Factor m(z).
-3*z**2*(z - 14)/8
Let n = -2447 - -2451. Let f(g) be the first derivative of -g**5 + 14 + 35/4*g**n + 270*g - 135/2*g**2 - 15*g**3. Factor f(o).
-5*(o - 3)**3*(o + 2)
Find t, given that 181/2*t**4 - 1/2*t**5 - 90128*t - 4484*t**3 + 35354*t**2 + 59168 = 0.
1, 4, 86
Factor 0 - 64*m + 10/9*m**3 - 104/9*m**2.
2*m*(m + 4)*(5*m - 72)/9
Let x(k) = -k**4 - k**3 - 2. Let w(o) = 60*o**3 + 4*o**2 + 0*o**2 - 3732*o**4 + 3664*o**4 - 4*o - 8. Let p(t) = w(t) - 4*x(t). Solve p(i) = 0 for i.
-1/4, 0, 1/4, 1
Factor -1/4*i**2 - 1/2*i + 323/4.
-(i - 17)*(i + 19)/4
Let m = 4824 + -173677/36. Let d = -1/4 - m. Find c, given that d*c**2 - 4/9*c + 1/3 = 0.
1, 3
Let l(t) be the first derivative of -t**3/3 - 19*t**2/2 + 68*t + 134. Let g be l(-22). Factor -9/2*u**g - 1/2*u**3 - 15/2*u + 25/2.
-(u - 1)*(u + 5)**2/2
Let r(l) be the third derivative of l**5/120 - 403*l**4/24 + 162409*l**3/12 - 2*l**2 - 578*l. Find o such that r(o) = 0.
403
Let x(p) be the second derivative of 13/30*p**4 - 1 - 4*p + 11/5*p**2 - 1/50*p**5 - 23/15*p**3. Find v, given that x(v) = 0.
1, 11
Let k(t) be the first derivative of -3*t**4/4 - t**3 + 6*t**2 + 12*t + 8207. Determine g, given that k(g) = 0.
-2, -1, 2
Let j(i) be the third derivative of i**8/336 + 47*i**7/1050 - i**6/20 - 480*i**2. Factor j(x).
x**3*(x + 10)*(5*x - 3)/5
Suppose -89 = 6*m - 113. Suppose -17*b + 226 = 209. Solve -2*d**m - 9/2*d + 9/2*d**3 + b + d**2 = 0 for d.
-1, 1/4, 1, 2
Let q(u) = -12*u**3 - 171*u**2 + 372*u + 1401. Let k(a) = 9*a**3 + 170*a**2 - 372*a - 1398. Let t(w) = 3*k(w) + 2*q(w). Let t(h) = 0. What is h?
-58, -2, 4
Let z(u) be the first derivative of 5*u**3 - 3/5*u**5 - 12*u + 0*u**2 + 66 + 0*u**4. What is n in z(n) = 0?
-2, -1, 1, 2
Let m(y) be the third derivative of -y**7/280 - 3*y**6/160 - y**5/40 - 3*y**2 + 84. Solve m(x) = 0.
-2, -1, 0
Let d(c) be the third derivative of -1/60*c**6 + 0*c + 1/630*c**7 - 1/6*c**3 + 1/1008*c**8 + 6 - 7/90*c**5 - 2*c**2 - 11/72*c**4. Factor d(f).
(f - 3)*(f + 1)**4/3
Let o be 12 + (56/30 - 10/(-75)). Suppose -4*t = -o - 6. Suppose -6*v + 25*v**4 - 6*v**3 - 10*v**3 - 10*v**4 + 21*v**2 - 3*v**t - 11*v**3 = 0. Calculate v.
0, 1, 2
Let h be ((-136)/30)/((-324)/(-540)) - -18. Factor 2209/9 + 1/9*i**2 + h*i.
(i + 47)**2/9
Let p = 95 - 101. Let i be 9/p*(-14)/105*20. What is k in -2/3*k**2 + 14/3*k - i = 0?
1, 6
Suppose n - 10 = -0. Suppose 0 = -n*g + 7*g + 12. Factor -x**3 - 6*x**4 + 0*x**4 + x**4 + x**5 + g*x**4 + x**2.
x**2*(x - 1)**2*(x + 1)
Let z be (0/4)/(1 + -9). Suppose 42*j - 52*j = z. Suppose -1/4*d**3 + 0 + j*d - 1/4*d**2 = 0. Calculate d.
-1, 0
Let g(u) = -5*u**2 - 10*u - 27. Let j be g(-9). Let a be (-1)/((-22)/(-4)) + j/(-66). Factor 3*h**5 - a*h**3 + 23*h**3 - 10*h**4 - 5*h**4.
3*h**3*(h - 3)*(h - 2)
Let y = -16118/3 - -5374. Factor -y + 1/3*z**2 + 4/3*z - 1/3*z**3.
-(z - 2)*(z - 1)*(z + 2)/3
Let b(t) be the second derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
a be j(5). Calculate the highest common divisor of 40 and a.
8
Suppose -3*p + 2 = -p. Calculate the greatest common factor of 11 and p.
1
Suppose -319 = -2*c - 3*l, -c + 31 = -l - 121. What is the greatest common divisor of c and 31?
31
Let l = -3 - -6. Suppose 0 = -p + l - 0. Suppose p*s = 5*s - 252. What is the greatest common divisor of s and 14?
14
Let q(s) = -20*s + 1. Suppose 0 = 5*c + 18 + 2. Let m = c - -3. Let t be q(m). Calculate the greatest common factor of t and 7.
7
Let r = 277 + -167. Let f be 2/3 + r/6. What is the greatest common factor of f and 133?
19
Let n = 52 + -15. Calculate the highest common factor of 111 and n.
37
Let s = -5 - -30. Calculate the highest common divisor of s and 175.
25
Suppose -14*x - 20 = -48. Calculate the highest common divisor of x and 1.
1
Let j(s) = 0*s**2 - 1 + 6*s - 4*s + 4*s**2 + 2. Let o be j(-2). Calculate the greatest common factor of 78 and o.
13
Let y be 3*4/3 + 2. Suppose 6*l - 4*l - y = 0. Suppose -4 = -0*w - 2*w. What is the highest common factor of l and w?
1
Let g be 40/140 - (-234)/14. Calculate the greatest common divisor of 17 and g.
17
Let l(x) = 15*x - 2. Let f be l(1). What is the greatest common factor of f and 13?
13
Suppose -r = -2*r. Let m = 1 - r. Suppose 5 = w + m. Calculate the greatest common divisor of 10 and w.
2
Let p be 8/20 - 668/(-5). Let t = -50 + p. What is the highest common divisor of t and 12?
12
Let k(r) be the second derivative of r**4/12 - r**3/2 - r**2/2 - 5*r. Let u be k(5). What is the greatest common divisor of 72 and u?
9
Let x(r) = r. Let s be x(8). Let k(w) = w**3 - 9*w**2 + 9*w + 7. Let i be k(s). What is the greatest common factor of 15 and i?
15
Let j = -34 - -53. What is the highest common divisor of 95 and j?
19
Let k = 7 - -68. What is the highest common divisor of k and 15?
15
Let p be 0 + 1 - (-154)/2. Suppose -p = 5*n - 7*n. What is the greatest common divisor of 26 and n?
13
Suppose 0*g - 2*g = -40. Let q(z) = 14*z. Let h be q(2). Let k = h - g. Calculate the greatest common factor of 72 and k.
8
Let u(j) = -9*j + 3. Let l be u(-6). Let p be -2 + l - (0 - 1). What is the highest common factor of 8 and p?
8
Let u be 5*((-8)/5 + 2). Let v(l) = 3*l**2 - 7*l - 1. Let i be v(6). Suppose 25 + i = u*n. Calculate the highest common factor of n and 15.
15
Let p(f) = -f**3 - 4*f**2 - f - 4. Let b be p(-4). Let y(w) = b + 8 + w - 7*w. Let c be y(-6). What is the greatest common divisor of c and 4?
4
Suppose -43 = -5*b + 32. What is the highest common factor of b and 6?
3
Let i = 9 - -19. Suppose 2*j - 2*s = -3*s + i, -j + 24 = 3*s. Let m(z) = z**3 + 8*z**2 + 6*z - 3. Let x be m(-7). What is the highest common factor of j and x?
4
Let f(y) = -y**3 - 8*y**2 - 7*y + 4. Let l be f(-7). Calculate the greatest common divisor of 5 and l.
1
Suppose -n + 17 = -3*j, 4*n + 4*j - 143 = j. Calculate the greatest common divisor of n and 80.
16
Let c(j) = j**3 - j**2 - 5*j + 2. Suppose -11 = -2*k - 3. Let v be c(k). Suppose 0 = -5*r + 75 - v. What is the greatest common divisor of r and 63?
9
Suppose 2*y + y + 5*t = 37, 4*y = -5*t + 56. What is the greatest common divisor of y and 209?
19
Suppose 3 = p + 1. What is the greatest common divisor of p and 2?
2
Let p(n) = -22*n**2 - 4. Let x be p(3). Let d be 4/(-18) - x/18. Calculate the greatest common divisor of 55 and d.
11
Let z(s) = -4 + s**3 + 4*s + 0*s**2 - s - 3*s**2 + 0*s. Let l be z(3). Calculate the highest common factor of 25 and l.
5
Let m = 60 + -58. What is the highest common divisor of 8 and m?
2
Suppose b + 44 = 2*f + 6*b, 3*f + 5*b - 61 = 0. Calculate the highest common divisor of f and 34.
17
Let p = -30 - -36. Calculate the highest common divisor of 6 and p.
6
Let d = 3 + 3. Let w(l) = 10*l + 4. Let v be w(d). Calculate the highest common divisor of v and 8.
8
Let m = 35 + -2. What is the greatest common factor of 55 and m?
11
Let s(n) = -15*n + 2. Let r be s(-1). Calculate the greatest common divisor of r and 68.
17
Let i be 4/2*30/12. Suppose 4*w = 3*d + d + 24, 2*d = w - 9. Let f(c) = -c**2 + 2*c + 4. Let b be f(w). What is the greatest common factor of i and b?
1
Let h(p) = p. Let x(w) = w**2 - 3. Let b(u) = 2*h(u) + x(u). Let j be b(2). Suppose -j*k + 13 = -7. Calculate the highest common factor of 6 and k.
2
Suppose -114*x = -111*x - 18. Let m be 6*-6*4/(-3). What is the greatest common factor of m and x?
6
Suppose -2*r = -0*r + 2*c - 38, 0 = r - c - 17. What is the greatest common factor of r and 36?
18
Suppose 7 = q + 6. What is the highest common divisor of 8 and q?
1
Suppose -n + 3*n = 0. Let t be 10/(n + (2 - 4)). Let r be (1 + -2 - 1)*t. Calculate the highest common divisor of 110 and r.
10
Let o(m) = -m**2 + m + 2. Let s be o(3). Let k be (0 + 3)*(-1 - s). What is the greatest common divisor of k and 81?
9
Suppose s + 48 = -5*b - 0*s, 0 = 5*b - 4*s + 33. Let c be (0 - b)*(-1)/3. Let w be (c/1)/((-3)/10). Calculate the highest common factor of w and 2.
2
Let y = 399 - 199. Calculate the greatest common divisor of 25 and y.
25
Suppose -3*c + 62 = 2*l - 0, c = l - 21. What is the greatest common divisor of 10 and l?
5
Let q(x) = 4*x**3 - 2*x**2 + 2*x - 1. Let m be q(1). Suppose 2*n - 9 = -m. What is the highest common factor of n and 1?
1
Let s = 15 + 57. What is the highest common divisor of s and 9?
9
Let a(c) be the second derivative of -c**3/3 - c**2/2 - 2*c. Let v be a(-3). Suppose 0 = -10*s + v*s + 80. What is the greatest common divisor of 8 and s?
8
Suppose -5*p - c + 26 = 1, 4*c = 0. Let d = -3 + p. Suppose -3*r + 46 = -5*l, r - 58 = -2*r + 2*l. What is the greatest common factor of d and r?
2
Let b(i) = 7*i**3 - 4*i**2 + i + 2. Let x be b(2). Suppose -x = 8*y - 10*y. What is the highest common divisor of y and 110?
22
Let h be (-2)/(4/2) - -1. Suppose 3*j = 2*l + 4 + 8, 15 = -5*l. Suppose -j*r + 3*r - 4 = h. Calculate the greatest common divisor of r and 12.
4
Let h be (-26)/6 - (-2)/(-3). Let r be 122/(-10) - 1/h. Let m be r/18 + 5/3. Calculate the greatest common divisor of 1 and m.
1
Let l(v) = v**2 + 6*v - 16. Let i be l(-8). Let k be (i - -1)*(21 - 6). Calculate the greatest common factor of 90 and k.
15
Let y(z) = -8*z - 1. Let s be y(-11). Let v = s + -46. Suppose 3*b - 206 + v = 0. Calculate the highest common divisor of b and 22.
11
Suppose -v = 2*t - 7, -t + 6*t = -2*v + 15. Let b be (v/(-2))/(1/(-26)). Calculate the highest common factor of 13 and b.
13
Let l be (6/(-8))/(5/(-300)). Suppose 0 = -4*u, -3*c + 4*u + l = 3*u. What is the greatest common divisor of 6 and c?
3
Let a(n) = n**2 + 7*n + 8. Let r = 4 + -10. Let s be a(r). Suppose s*u - 40 = -0*u. Calculate the highest common factor of 8 and u.
4
Let w(v) = 3*v**2 - 4*v + 1. Let d be w(2). Calculate the highest common divisor of d and 45.
5
Let w = 25 - 17. What is the highest common divisor of w and 8?
8
Suppose 2*s + 4*o - 15 = 7*s, -4*o = 0. Let i be -2 + (-2 - 7)/s. Suppose 2*h - 3 = -a, -5*a - h = -9 - 15. What is the highest common divisor of i and a?
1
Let d(p) = -5*p + p + 4*p + 2*p + 7. Let c be d(9). What is the highest common divisor of c and 5?
5
Let a(i) = 3*i**2. Let d be a(-1). Let x be -3 - (0/d - -1). Let w(m) = m**2 - m - 2. Let r be w(x). What is the highest common factor of 6 and r?
6
Suppose -3*k - 2*k - 10 = 0. Let u be 25/15 - k/(-3). Let n be u - -1 - (1 + -104). Calculate the greatest common divisor of n and 15.
15
Suppose 5*s + w - 68 = 0, -4*w = -5*s - 6 + 59. Calculate the highest common factor of s and 325.
13
Let n be 3/2*(-1036)/21. Let x be n/(-12) + (-5)/30. What is the greatest common divisor of x and 18?
6
Suppose 0 = 4*f + 2*s - 18, s + 52 - 12 = 5*f. Let u = -2 + f. Suppose u*a - 18 = -3*k, 0*k - 22 = -3*a + k. What is the highest common factor of a and 3?
3
Let a be -3 + 1 + 5 + 33. Suppose 3*h = 10 + 17. Suppose -2*b - 3*p + h = 0, -p + 0 = 5*b - 42. What is the highest common factor of b and a?
9
Let j be (1 - -64) + (1 - 1). Let a(b) be the first derivative of b**3/3 - 9*b**2/2 + 4*b + 8. Let f be a(11). Calculate the highest common factor of f and j.
13
Let m = -33 - -54. What is the highest common factor of m and 7?
7
Let u(g) be the second derivative of g**4/6 + 3*g**2/2 + 7*g. Let d be u(-3). Calculate the highest common factor of 168 and d.
21
Let j(g) = g**3 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the w'th term of -1041, -2083, -3123, -4161, -5197, -6231?
w**2 - 1045*w + 3
What is the q'th term of 5, 11, 19, 29, 41, 55?
q**2 + 3*q + 1
What is the a'th term of -149, -173, -197, -221, -245, -269?
-24*a - 125
What is the r'th term of -36346, -72691, -109036, -145381, -181726?
-36345*r - 1
What is the u'th term of -237, -246, -267, -306, -369, -462, -591?
-u**3 - 2*u - 234
What is the w'th term of 39, 134, 289, 504?
30*w**2 + 5*w + 4
What is the l'th term of 23, 116, 357, 818, 1571, 2688, 4241, 6302?
12*l**3 + 2*l**2 + 3*l + 6
What is the k'th term of 11, 9, -5, -37, -93, -179?
-k**3 + 5*k + 7
What is the c'th term of 4310, 4302, 4294, 4286, 4278?
-8*c + 4318
What is the k'th term of 40, 28, -12, -92, -224, -420?
-2*k**3 - 2*k**2 + 8*k + 36
What is the x'th term of 15, 35, 55, 75, 95, 115?
20*x - 5
What is the j'th term of -233, -471, -703, -923, -1125, -1303?
j**3 - 3*j**2 - 236*j + 5
What is the h'th term of 464, 466, 468, 470, 472?
2*h + 462
What is the a'th term of 117, 113, 109, 105, 101?
-4*a + 121
What is the c'th term of 136, 186, 236, 286?
50*c + 86
What is the g'th term of -16, -36, -74, -136, -228, -356, -526, -744?
-g**3 - 3*g**2 - 4*g - 8
What is the k'th term of -482, -471, -460, -449?
11*k - 493
What is the q'th term of -903, -886, -859, -822, -775, -718?
5*q**2 + 2*q - 910
What is the v'th term of 42, 86, 130, 174, 218, 262?
44*v - 2
What is the k'th term of -4603, -9205, -13795, -18367, -22915, -27433, -31915?
k**3 - 4609*k + 5
What is the y'th term of 689, 747, 803, 857, 909, 959?
-y**2 + 61*y + 629
What is the x'th term of -83, -82, -81, -80, -79?
x - 84
What is the b'th term of 22, 15, -4, -41, -102, -193, -320, -489?
-b**3 + 23
What is the n'th term of -48, -89, -134, -183, -236?
-2*n**2 - 35*n - 11
What is the o'th term of -367, -312, -211, -58, 153, 428, 773, 1194?
o**3 + 17*o**2 - 3*o - 382
What is the x'th term of 24, 29, 20, -15, -88?
-2*x**3 + 5*x**2 + 4*x + 17
What is the o'th term of -10, -2, 6?
8*o - 18
What is the g'th term of -13, -51, -129, -253, -429?
-g**3 - 14*g**2 + 11*g - 9
What is the l'th term of -52, -152, -318, -550, -848, -1212, -1642?
-33*l**2 - l - 18
What is the n'th term of 94, 356, 784, 1372, 2114?
-n**3 + 89*n**2 + 2*n + 4
What is the x'th term of -205, -405, -611, -823, -1041?
-3*x**2 - 191*x - 11
What is the p'th term of 50, 185, 410, 725, 1130, 1625, 2210?
45*p**2 + 5
What is the a'th term of 9, 26, 49, 78, 113, 154, 201?
3*a**2 + 8*a - 2
What is the p'th term of -23, -46, -69, -92?
-23*p
What is the y'th term of 9, 8, 7, 6?
-y + 10
What is the d'th term of -100, -224, -372, -556, -788, -1080?
-2*d**3 - 110*d + 12
What is the s'th term of -83, -315, -699, -1235, -1923, -2763?
-76*s**2 - 4*s - 3
What is the f'th term of -94, -188, -298, -430, -590?
-f**3 - 2*f**2 - 81*f - 10
What is the l'th term of -26, -55, -96, -155, -238?
-l**3 - 22*l - 3
What is the a'th term of -41, -79, -127, -191, -277, -391, -539, -727?
-a**3 + a**2 - 34*a - 7
What is the w'th term of -369, -733, -1095, -1455, -1813?
w**2 - 367*w - 3
What is the r'th term of -549, -1045, -1551, -2073, -2617?
-r**3 + r**2 - 492*r - 57
What is the u'th term of 26, 72, 136, 218?
9*u**2 + 19*u - 2
What is the r'th term of 29, 97, 203, 341, 505, 689?
-r**3 + 25*r**2 + 5
What is the g'th term of 256, 1034, 2324, 4120, 6416, 9206, 12484?
-g**3 + 262*g**2 - g - 4
What is the z'th term of 12, 34, 70, 120?
7*z**2 + z + 4
What is the j'th term of 551, 1067, 1569, 2051, 2507, 2931, 3317, 3659?
-j**3 - j**2 + 526*j + 27
What is the c'th term of -85, -335, -753, -1339, -2093, -3015, -4105?
-84*c**2 + 2*c - 3
What is the i'th term of 41, 78, 115, 152, 189?
37*i + 4
What is the c'th term of 543, 531, 505, 459, 387, 283, 141?
-c**3 - c**2 - 2*c + 547
What is the f'th term of 18, 7, -16, -51?
-6*f**2 + 7*f + 17
What is the h'th term of -33, -56, -79, -102, -125, -148?
-23*h - 10
What is the y'th term of -29, -62, -123, -218, -353, -534?
-y**3 - 8*y**2 - 2*y - 18
What is the i'th term of 51, 74, 111, 162, 227?
7*i**2 + 2*i + 42
What is the f'th term of 10, 83, 222, 433, 722, 1095, 1558?
f**3 + 27*f**2 - 15*f - 3
What is the t'th term of -68, -92, -116, -140?
-24*t - 44
What is the h'th term of 15, -19, -53, -87, -121, -155?
-34*h + 49
What is the s'th term of 568, 1133, 1698, 2263, 2828?
565*s + 3
What is the v'th term of -15, 2, 33, 84, 161, 270, 417, 608?
v**3 + v**2 + 7*v - 24
What is the y'th term of -5703, -5701, -5697, -5691?
y**2 - y - 5703
What is the y'th term of -59, -67, -87, -125, -187, -279, -407, -577?
-y**3 - y - 57
What is the n'th term of -60, -98, -122, -132, -128?
7*n**2 - 59*n - 8
What is the k'th term of -346, -686, -1016, -1330, -1622, -1886, -2116?
k**3 - k**2 - 344*k - 2
What is the k'th term of 24, 18, -30, -138, -324?
-3*k**3 - 3*k**2 + 24*k + 6
What is the p'th term of 28, 58, 98, 154, 232, 338, 478?
p**3 - p**2 + 26*p + 2
What is the y'th term of 19, 70, 159, 286?
19*y**2 - 6*y + 6
What is the t'th term of 1186, 1181, 1176?
-5*t + 1191
What is the c'th term of 30, 83, 172, 297?
18*c**2 - c + 13
What is the c'th term of -3, -4, 5, 30, 77, 152, 261?
c**3 - c**2 - 5*c + 2
What is the g'th term of 311, 1277, 2893, 5165, 8099, 11701?
g**3 + 319*g**2 + 2*g - 11
What is the l'th term of 993, 1005, 1033, 1083, 1161, 1273, 1425, 1623?
l**3 + 2*l**2 - l + 991
What is the j'th term of 238, 259, 300, 367, 466, 603, 784, 1015?
j**3 + 4*j**2 + 2*j + 231
What is the s'th term of -15, -96, -311, -726, -1407?
-11*s**3 - s**2 - s - 2
What is the h'th term of 61, 110, 159, 208, 257, 306?
49*h + 12
What is the p'th term of 490, 456, 422, 388, 354?
-34*p + 524
What is the s'th term of -137, -123, -109, -95, -81?
14*s - 151
What is the k'th term of -34, -60, -84, -106, -126?
k**2 - 29*k - 6
What is the n'th term of 2005, 2007, 2009?
2*n + 2003
What is the w'th term of -1490, -2983, -4476, -5969, -7462?
-1493*w + 3
What is the l'th term of -69, -120, -173, -228, -285, -344, -405?
-l**2 - 48*l - 20
What is the x'th term of 9, 34, 63, 96?
2*x**2 + 19*x - 12
What is the c'th term of 8, 18, 40, 80, 144, 238, 368?
c**3 + 3*c + 4
What is the x'th term of -3, 11, 49, 123, 245?
2*x**3 - 5
What is the k'th term of 56, 80, 88, 74, 32, -44?
-k**3 - 2*k**2 + 37*k + 22
What is the o'th term of -13, -23, -35, -61, -113, -203?
-2*o**3 + 11*o**2 - 29*o + 7
What is the j'th term of -3015, -3016, -3017, -3018, -3019?
-j - 3014
What is the j'th term of 402, 800, 1198, 1596, 1994?
398*j + 4
What is the c'th term of 2, 4, 6, 8?
2*c
What is the j'th term of -76, -143, -206, -265?
2*j**2 - 73*j - 5
What is the b'th term of 38, 108, 188, 284, 402, 548, 728, 948?
b**3 - b**2 + 66*b - 28
What is the r'th term of -17864, -17865, -17866, -17867, -17868, -17869?
-r - 17863
What is the v'th term of -391, -381, -369, -355, -339, -321?
v**2 + 7*v - 399
What is the m'th term of 292, 305, 332, 379, 452?
m**3 + m**2 + 3*m + 287
What is the s'th term of -510, -1004, -1498?
-494*s - 16
What is the g'th term of -17, -70, -163, -302, -493, -742?
-g**3 - 14*g**2 - 4*g + 2
What is the p'th term of 12, 31, 50, 69, 88, 107?
19*p - 7
What is the i'th term of -726, -1453, -2180?
-727*i + 1
What is the t'th term of 305, 1230, 2775, 4940, 7725?
310*t**2 - 5*t
What is the l'th term of -812, -893, -1036, -1247, -1532, -1897?
-l**3 - 25*l**2 + l - 787
What is the u'th term of 544, 548, 558, 580, 620, 684, 778?
u**3 - 3*u**2 + 6*u + 540
What is the j'th term of -1552, -3109, -4666, -6223, -7780?
-1557*j + 5
What is the j'th term of -142, -139, -146, -169, -214, -287?
-j**3 + j**2 + 7*j - 149
What is the m'th term of 10, 40, 100, 202, 358, 580, 880?
2*m**3 + 3*m**2 + 7*m - 2
What is the a'th term of -275, -311, -371, -455, -563, -695, -851?
-12*a**2 - 263
What is the t'th term of -22, -77, -166, -289, -446, -637?
-17*t**2 - 4*t - 1
What is the d'th term of 117, 107, 97, 87?
-10*d + 127
What is the x'th term of 20, 6, -8, -22?
-14*x + 34
What is the b'th term of 27, 44, 61, 78?
17*b + 10
What is the b'th term of -434, -869, -1316, -1781, -2270, -2789?
-b**3 - 428*b - 5
What is the j'th term of -1009, -1006, -1001, -994?
j**2 - 1010
What is the o'th term of -149, -164, -177, -188, -197, -204, -209?
o**2 - 18*o - 132
What is the f'th term of 1221, 1218, 1213, 1206?
-f**2 + 1222
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
3218.
-140/2203
-42792479 divided by -2
42792479/2
What is 46487870 divided by 8555?
5434
What is -4956590 divided by -59?
84010
2423818 divided by -1
-2423818
What is -5518184 divided by 689773?
-8
Divide -53472780 by 3545.
-15084
What is 6579000 divided by 6375?
1032
Calculate -175409128 divided by -151738.
1156
Divide 221 by -4957821.
-221/4957821
What is -149730 divided by 21390?
-7
Divide -72741190 by 2305.
-31558
-23961627 divided by -2662403
9
What is 15454274 divided by 2?
7727137
What is 25125801 divided by -27281?
-921
-1202 divided by 1198
-601/599
-6783 divided by 1007
-357/53
What is -208870 divided by 1?
-208870
Calculate 5243810 divided by 25090.
209
430866 divided by 79
5454
What is 364344 divided by -408?
-893
Divide 289140 by -1.
-289140
-267768870 divided by -5
53553774
91903 divided by 3920
13129/560
-16432623 divided by 3079
-5337
-258324 divided by -390
43054/65
Calculate 13236 divided by -294.
-2206/49
What is 35542080 divided by 21672?
1640
1355027136 divided by -157708
-8592
Divide 2188549 by -14.
-2188549/14
Calculate -2654295600 divided by 2.
-1327147800
Calculate -3543787 divided by -3.
3543787/3
39 divided by -2594551
-39/2594551
Divide -148101425 by -5.
29620285
What is 38395662 divided by 2?
19197831
Calculate 11664 divided by -9.
-1296
What is 185 divided by -1478115?
-37/295623
24 divided by 2157330
4/359555
Divide -3 by 36146240.
-3/36146240
What is -21933936 divided by 16?
-1370871
500498232 divided by -312
-1604161
5300120 divided by 18929
280
3 divided by -2643958
-3/2643958
What is -5 divided by 53758566?
-5/53758566
What is 237 divided by 3896423?
237/3896423
What is 158301 divided by -4797?
-33
Divide 34526063 by 143.
241441
Divide 22001490 by 294.
74835
What is 62484081 divided by -18?
-20828027/6
Calculate -27704830 divided by -5540966.
5
17352400 divided by 1846
9400
Divide 11404333 by -5.
-11404333/5
Calculate -6805 divided by 4757.
-6805/4757
-2989590 divided by -1362
2195
193709 divided by -15
-193709/15
Divide -340929 by 51.
-113643/17
What is 820793038 divided by 744146?
1103
What is 142 divided by 2441121?
142/2441121
Calculate -22365128 divided by 8.
-2795641
Divide 405807 by -23.
-405807/23
What is -5 divided by -180200659?
5/180200659
What is 32472660 divided by -4?
-8118165
-64763001 divided by -103
628767
Divide 5257 by -192115.
-751/27445
What is -34356864 divided by -35456?
969
-4646 divided by -184384
2323/92192
Calculate 148908717 divided by -49636239.
-3
Calculate 4 divided by 2294652.
1/573663
Divide -7352320 by 7352320.
-1
Calculate 2224651 divided by 6.
2224651/6
3 divided by 9134161
3/9134161
What is 2240 divided by 3171?
320/453
What is 67444923 divided by -55419?
-1217
-401526 divided by 12
-66921/2
Calculate 4 divided by 6551837.
4/6551837
-738501 divided by -166
738501/166
Calculate 47826853 divided by 3.
47826853/3
What is -271 divided by -25939?
271/25939
Divide -549589734 by -3.
183196578
Divide -1988 by 1022.
-142/73
What is -863754 divided by -2154?
401
1781931 divided by 70
1781931/70
-151392444 divided by -154798
978
-148862658 divided by 74431329
-2
What is 15497551 divided by -31?
-499921
What is -3743055 divided by 748611?
-5
Calculate -4 divided by 141670451.
-4/141670451
What is -3791051 divided by 97?
-39083
22060080 divided by -1050480
-21
Calculate -9093175 divided by -1818635.
5
Divide 14337 by 294.
4779/98
Divide 26558000 by 2800.
9485
11705856 divided by 64
182904
Divide 9274448 by 1.
9274448
What is 3719 divided by 10156?
3719/10156
Divide 4120968 by 4.
1030242
Divide 54628752 by 13657188.
4
-31031 divided by 403
-77
Divide 17457940 by -1052.
-16595
What is 7630118 divided by -7?
-7630118/7
295893 divided by 9
32877
What is 30 divided by 491270?
3/49127
What is 638795076 divided by 2?
319397538
Calculate 10 divided by -1746252.
-5/873126
Divide -108974040 by 54487020.
-2
Divide 155032886 by 74.
2095039
1577199 divided by -2
-1577199/2
Divide -34024 by -33519.
34024/33519
Calculate -51769201 divided by 51769201.
-1
266924 divided by -1100
-66731/275
Calculate 3277296 divided by 4.
819324
-3 divided by 1976951
-3/1976951
-2526 divided by -686
1263/343
Calculate -38 divided by -170488.
19/85244
Divide 14637 by 13421.
14637/13421
What is -5 divided by -9449082?
5/9449082
Calculate -16956510 divided by 4359.
-3890
What is 91090 divided by 1774?
45545/887
Divide -18181723 by -2.
18181723/2
Divide -50727826 by 25363913.
-2
Divide 20455960 by -95144.
-215
Divide 1491713282 by -1.
-1491713282
What is 45412986 divided by 204563?
222
Divide -287724 by 586.
-143862/293
Calculate 1303628 divided by -2.
-651814
Calculate 442497617 divided by -45139.
-9803
Divide -24 by 4311142.
-12/2155571
What is 22736521 divided by -54?
-22736521/54
Divide 321155180 by -4.
-80288795
What is -130529880 divided by -12396?
10530
-11 divided by 8488608
-11/8488608
Divide -34912602 by 18127.
-1926
Calculate 52236800 divided by 11.
4748800
-534 divided by -181602
89/30267
1250 divided by -13066
-625/6533
Calculate -176478 divided by 525.
-58826/175
Divide 105 by 6910539.
35/2303513
Divide -85533 by 203.
-12219/29
Divide 591 by -2314973.
-591/2314973
What is -620 divided by -62585?
124/12517
Calculate -358494075 divided by -3.
119498025
-744541665 divided by 106363095
-7
-1 divided by 850166
-1/850166
33623925 divided by 11207975
3
Divide 2 by 3414238.
1/1707119
Divide -239072241 by 3.
-79690747
-86915857 divided by -12416551
7
What is -2412080 divided by -16?
150755
What is 3 divided by 12349754?
3/12349754
Calculate 854 divided by 38202.
427/19101
145917 divided by 168
48639/56
Calculate -307325 divided by 1476.
-307325/1476
325038420 divided by -90
-3611538
Divide 819232 by -102404.
-8
Divide -590700 by -8950.
66
Divide 2 by 838300.
1/419150
-1950060088 divided by -243757511
8
-52424 divided by 144
-6553/18
Calculate 100767260 divided by 5303540.
19
Divide -364738 by -2.
182369
-2711 divided by -556
2711/556
Divide 3293446 by -253342.
-13
Calculate -1570875 divided by -314175.
5
29099121 divided by -51
-570571
Divide 5 by 82939.
5/82939
What is -50557 divided by -39?
3889/3
Divide 6015749 by 12.
6015749/12
-8840993 divided by -161
54913
2298212 divided by 328316
7
What is 261016785 divided by -4?
-261016785/4
-6 divided by -260160426
1/43360071
Divide -8081112 by -1756.
4602
65310168 divided by 462
141364
Divide 5057078 by -13414.
-377
-107647457 divided by -206617
521
What is 5 divided by -28827281?
-5/28827281
What is -62810 divided by 5?
-12562
7721910 divided by -4165
-1854
-640390248 divided by 80048781
-8
Divide 34273492 by 2299.
14908
Divide -731168 by -162.
365584/81
Divide -9286260 by 25098.
-370
Calculate -302 divided by -755968.
151/377984
Divide -98786060 by -590.
167434
What is 1782620 divided by -1498?
-1190
Calculate -22056 divided by -4047.
7352/1349
Divide -345062872 by -4.
86265718
Divide 518128460 by 20.
25906423
Calculate -525796151 divided by 1.
-525796151
Divide -33996318 by 6.
-5666053
-102162884 divided by 51081442
-2
What is 23196998 divided by 4?
11598499/2
7087 divided by 77
7087/77
Divide 282320042 by -466.
-605837
Calculate -206005418 divided by -212158.
971
Calculate -14335718 divided by 9419.
-1522
Divide -5114 by -33408.
2557/16704
-9805050 divided by 36315
-270
-160 divided by 62276
-40/15569
Divide 964935624 by -4.
-241233906
What is 63 divided by -423691?
-63/423691
What is 4324 divided by 13615?
4324/13615
Divide 1517977 by -37.
-1517977/37
What is -8 divided by 18409198?
-4/9204599
What is 104150398 divided by 278477?
374
Divide 4127163 by -346.
-4127163/346
Calculate 7958340 divided by -14820.
-537
Divide -59519232 by -464994.
128
Divide -6 by 2917713.
-2/972571
Divide 158354720 by 19794340.
8
What is -478131396 divided by 1396?
-342501
Divide -81116616 by -20279154.
4
Divide 2 by 184894814.
1/92447407
What is -146 divided by -67297?
146/67297
-49244944 divided by 8
-6155618
Calculate -2515 divided by -87424.
2515/87424
1300 divided by 4812
325/1203
102593322 divided by -28286
-3627
Calculate 415994556 divided by -2018.
-206142
Calculate 796 divided by -114612.
-199/28653
Calculate -6804 divided by -80736.
567/6728
Divide 1789330 by 42.
894665/21
Divide -5839 by 26929.
-5839/26929
-61640316 divided by -10273386
6
125098900 divided by -27350
-4574
Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
742/481
Calculate 2621 divided by 22.
2621/22
Calculate 29160 divided by 20.
1458
Calculate 250150 divided by -3.
-250150/3
Calculate 0 divided by 1018.
0
Calculate -15 divided by -1333.
15/1333
Calculate 154644 divided by 3156.
49
What is -133290 divided by 47?
-133290/47
What is 15 divided by 4894?
15/4894
Calculate 36 divided by 438.
6/73
Divide 96932 by -2203.
-44
What is 64362 divided by 32181?
2
Divide 24157 by 12.
24157/12
3 divided by -1344
-1/448
Calculate -47058 divided by -713.
66
186790 divided by 5
37358
Calculate -25068 divided by -8356.
3
32901 divided by 4
32901/4
-117338 divided by 9026
-13
Divide -2572182 by 1.
-2572182
-134225 divided by -5
26845
What is 22 divided by 1432?
11/716
Divide -13332940 by -5.
2666588
5 divided by 1248
5/1248
Divide -920421 by 93.
-9897
Calculate 7127 divided by 290.
7127/290
Calculate -268526 divided by 4.
-134263/2
Divide -15444 by 117.
-132
Calculate -2 divided by -70177.
2/70177
Calculate 1466778 divided by 3.
488926
What is 69330 divided by -23110?
-3
32 divided by 17554
16/8777
Divide -603145 by 603145.
-1
Calculate -776466 divided by -2.
388233
Calculate 820 divided by -1.
-820
Divide 7264 by 5.
7264/5
Divide -33914 by -2.
16957
What is 13 divided by -16585?
-13/16585
Calculate 70 divided by -630.
-1/9
Divide -5 by 1391279.
-5/1391279
What is 784120 divided by -98015?
-8
Calculate -118588 divided by 23.
-5156
Divide -920433 by 920433.
-1
Calculate -57672 divided by -178.
324
What is -134030 divided by 130?
-1031
What is 20412 divided by -972?
-21
Divide -53 by -6549.
53/6549
Calculate 96348 divided by -4588.
-21
What is 1640040 divided by -5190?
-316
What is -17855 divided by 2?
-17855/2
-11298 divided by 14
-807
What is 4 divided by -403452?
-1/100863
What is -1879 divided by 2302?
-1879/2302
Divide 1165802 by 105982.
11
Divide -31164 by 294.
-106
Divide 4 by -14688.
-1/3672
Divide 65116 by 1.
65116
Calculate -165 divided by 45.
-11/3
Calculate 23488 divided by -16.
-1468
Calculate -9 divided by -17998.
9/17998
What is 436 divided by -218?
-2
What is -44253 divided by -14751?
3
Calculate 2621437 divided by -374491.
-7
What is 31110 divided by 2074?
15
What is 5 divided by -193391?
-5/193391
Calculate 13 divided by -7446.
-13/7446
-457 divided by 351
-457/351
Divide -34027 by 34027.
-1
Calculate -257395 divided by -4.
257395/4
Divide -129040 by 4.
-32260
Calculate 1681 divided by 5.
1681/5
Divide 478950 by 7725.
62
Calculate -468 divided by 124.
-117/31
-948344 divided by -8
118543
Calculate -59092 divided by 9.
-59092/9
What is 8713632 divided by -7836?
-1112
Calculate 24 divided by 5980.
6/1495
What is -497 divided by 3255?
-71/465
Divide 29536 by 2272.
13
Divide 458744 by -572.
-802
Calculate -126105 divided by 18015.
-7
Divide 178336 by 44584.
4
Calculate 1627008 divided by 1338.
1216
Calculate -2026968 divided by 675656.
-3
Divide -4 by -11292.
1/2823
What is 21132 divided by -4?
-5283
Divide 0 by -247433.
0
-3 divided by -85473
1/28491
Calculate -6670 divided by -2.
3335
What is 43 divided by -8045?
-43/8045
-30709 divided by 6
-30709/6
-57574 divided by 16
-28787/8
Divide -839292 by 839292.
-1
-140 divided by -1178
70/589
What is -40374 divided by 3?
-13458
What is -4014 divided by -734?
2007/367
What is -276174 divided by 229?
-1206
What is -24612 divided by 2?
-12306
Divide -47808 by -5312.
9
Divide -432 by 319.
-432/319
-34438 divided by -4
17219/2
Divide 1 by -11205.
-1/11205
What is 165816 divided by -4?
-41454
Calculate -2216220 divided by -110811.
20
8495 divided by 9
8495/9
Calculate -163 divided by 195.
-163/195
Divide 20304 by -3.
-6768
Divide -1058358 by 6.
-176393
What is 185838 divided by -185838?
-1
Divide 1 by -1440.
-1/1440
3527874 divided by 391986
9
1763094 divided by -56874
-31
-118863 divided by -2529
47
What is 1920 divided by 3?
640
Divide 1358 by 4.
679/2
Divide -575388 by -6.
95898
434070 divided by 455
954
70439 divided by -1
-70439
254620 divided by -63655
-4
Divide 484 by -380.
-121/95
Calculate 23496 divided by -33.
-712
-3 divided by -3232
3/3232
Divide 127800 by 31950.
4
Divide 198 by -235.
-198/235
Calculate 222288 divided by -5.
-222288/5
7 divided by 2853
7/2853
What is 12524 divided by -27?
-12524/27
Divide 1206380 by -70.
-17234
-1884309 divided by -3
628103
What is 2023896 divided by 20652?
98
Divide 93480 by 380.
246
Calculate -243970 divided by -2.
121985
What is 236928 divided by 2?
118464
What is -3 divided by 29342?
-3/29342
What is -36 divided by 481?
-36/481
Divide -8389446 by -6.
1398241
What is -11683 divided by -6?
11683/6
Divide 149799 by 897.
167
-514976 divided by 352
-1463
Calculate 9 divided by -6884.
-9/6884
-193424 divided by 6908
-28
Calculate -2 divided by 3194.
-1/1597
Calculate 454630 divided by -8266.
-55
Divide -289 by 289.
-1
24 divided by 22035
8/7345
What is 163 divided by 445?
163/445
38596 divided by -9649
-4
Calculate 1 divided by 7772.
1/7772
Divide -77 by -7255.
77/7255
What is 659 divided by 47?
659/47
-168 divided by -301
24/43
16768 divided by -32
-524
42050 divided by -290
-145
Calculate -4 divided by -1092.
1/273
Divide 348830 by -34883.
-10
128455 divided by 7
128455/7
What is 62744 divided by -4?
-15686
Calculate -104159 divided by 187.
-557
What is 3 divided by -22047?
-1/7349
4846 divided by -5
-4846/5
Calculate -1143 divided by -3.
381
Divide 313088 by 3.
313088/3
-526140 divided by 52614
-10
What is -106127 divided by -3?
106127/3
Calculate -70462 divided by 80.
-35231/40
390038 divided by -2
-195019
What is -100120 divided by 50060?
-2
Calculate 2540 divided by -7.
-2540/7
What is -1252602 divided by -96354?
13
Divide 0 by -265587.
0
Divide -56188 by 2.
-28094
What is -72611 divided by 11?
-6601
What is 0 divided by -2582?
0
-209343 divided by 16
-209343/16
-4904952 divided by -204373
24
What is 2268978 divided by -1134489?
-2
Calculate -184125 divided by -5.
36825
-62979 divided by -3
20993
What is 4 divided by 403?
4/403
Calculate -4 divided by -65180.
1/16295
Divide -10119 by 6.
-3373/2
-212344 divided by 88
-2413
Divide 5 by -1020841.
-5/1020841
Calculate -15732 divided by 414.
-38
Divide -1106 by 8.
-553/4
What is -55 divided by -626?
55/626
-2077794 divided by -267
7782
-3292908 divided by 27906
-118
-575324 divided by 4
-143831
Calculate 138704 divided by 5.
138704/5
Divide 10 by -23130.
-1/2313
Calculate -103 divided by 3241.
-103/3241
Divide 1249005 by 416335.
3
What is -228015 divided by 15?
-15201
2465 divided by 3
2465/3
-40108 divided by -271
148
Calculate 5 divided by 266419.
5/266419
Calculate -5 divided by 14939.
-5/14939
Calculate 2028480 divided by 20.
101424
What is -839853 divided by 9?
-93317
Calculate -2 divided by -8665.
2/8665
Divide -1 by -110861.
1/110861
Divide 51 by 668.
51/668
77545 divided by 3
77545/3
Divide 0 by 4778.
0
0 divided by -45883
0
Divide -25692 by 6.
-4282
What is 6 divided by -5107?
-6/5107
Divide -2250657 by 750219.
-3
What is 10693 divided by -289?
-37
What is 322551 divided by -2?
-322551/2
What is 858557 divided by -858557?
-1
Calculate 52728 divided by -156.
-338
What is 1642970 divided by 7?
234710
What is 18647 divided by -18647?
-1
What is 0 divided by -71516?
0
Calculate 211900 divided by 8150.
26
What is 9156 divided by 1308?
7
Calculate -505084 divided by -6.
252542/3
-81716 divided by -1318
62
-89274 divided by -6
14879
Divide 237 by -895.
-237/895
Divide 208008 by -72.
-2889
Divide -31 by -2460.
31/2460
31540509 divided by 3
10513503
Calculate 91548 divided by 22887.
4
What is 1017 divided by -11?
-1017/11
What is 118 divided by 336?
59/168
What is -3 divided by 4994?
-3/4994
What is 1731042 divided by -16971?
-102
Calculate -168498 divided by -4.
84249/2
Calculate 15735894 divided by -6.
-2622649
Divide -446234 by -446234.
1
15168 divided by 1
15168
What is 0 divided by -12284?
0
Calculate 274227 divided by 3.
91409
Calculate 24953 divided by -9.
-24953/9
Calculate -3 divided by 438508.
-3/438508
-1 divided by 279194
-1/279194
Divide -5 by -1304.
5/1304
What is -685 divided by 266?
-685/266
What is 83000 divided by -4150?
-20
Calculate -4891992 divided by 29119.
-168
What is 396744 divided by 49593?
8
-18746 divided by -14
1339
Calculate -1167 divided by 4.
-1167/4
Calculate -23 divided by 2035.
-23/2035
Calculate 85557 divided by -237.
-361
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -41. Let u(x) = -4*x + 5. Give u(m).
-11
Let d(k) = -k**2 + 8*k + 12. Let p be d(9). Let m be 36/(-12) + 1*5. Let q(j) = j - 5*j**m + 4*j**2 - j**p - 9*j - 6 - 7*j**2. Calculate q(-7).
1
Let j(a) = 7*a**3 - 2*a + 1. Let n be j(1). Suppose -v - 4*m = 18, -m - n + 1 = 0. Let f(l) = 0*l**2 + 10*l**v + l - l**2. Calculate f(1).
10
Let u(v) = -6*v**3 - 4*v**2 - 7*v + 1. Let y(s) = -7*s**3 - 5*s**2 - 8*s + 1. Let a(p) = 6*u(p) - 5*y(p). Let m be a(1). Let o(z) = -8*z + 1. What is o(m)?
9
Let l(c) = -5*c - 8. Let i(f) = -4*f - 7. Let p(x) = -4*i(x) + 3*l(x). Let y = -242 + 237. Calculate p(y).
-1
Let d(v) be the second derivative of -v**4/6 - 13*v**3/6 - v**2/2 + 143*v. Calculate d(-6).
5
Let o(g) be the third derivative of 1/8*g**4 + 0 + 0*g + 8*g**2 + 1/6*g**3. Give o(-2).
-5
Let a = -91 + 97. Let m(j) = -4*j - 3. Give m(a).
-27
Let v(n) = 9. Let t(x) = x + 1. Let h(c) = t(c) - v(c). Give h(4).
-4
Let p be 1925/245 - (13/7 - 2). Let f(y) = -y**2 + 8*y + 2. Give f(p).
2
Let g(i) be the third derivative of i**5/30 + i**4/6 + 5*i**3/6 - 124*i**2. Calculate g(4).
53
Let d(x) = x**2 - 6*x - 7. Let s(n) = -2*n**2 + 14*n + 13. Let l(p) = -9*d(p) - 4*s(p). Determine l(-5).
-4
Let q(d) = d - 7. Suppose -22*u - 12 = -25*u. Determine q(u).
-3
Let i(s) be the third derivative of -s**6/120 + s**5/10 - 5*s**4/24 + s**3/2 - 655*s**2. Let b be (-2)/5 + 54/10. Calculate i(b).
3
Let i(y) = y**3 + 3*y**2 + 2*y + 2. Let u(f) = f**3 + 5*f**2 + f + 6. Let m be u(-5). Suppose m = -g - 0. Let b be 2 + g - 1 - 3. Determine i(b).
-4
Let k be 2/3*3/(-2). Let y = 38 + -36. Let n(f) = 0 - y*f - 1 - 8*f + 5*f. Give n(k).
4
Suppose -5*o = 3*c - 34, 4*c - o - 7 = -0*o. Let d(k) = 4 - 714*k + 1427*k + 0 - 710*k - 2*k**2. Determine d(c).
-5
Let g(a) = a**3 - 12*a**2 - 13*a. Let i = -1554 + 1567. Calculate g(i).
0
Let k(x) = -x + 9. Let z be k(8). Suppose 0 = -4*o - 55 - z. Let d = o + 18. Let i(y) = 2*y**2 - 6*y + 2. Calculate i(d).
10
Let t(p) = -p**2 - 3. Let c be t(0). Let m(i) = -i**3 - 3*i**2 + i + 4. Determine m(c).
1
Suppose -125 = -5*n + 240. Let h(m) = 33 - 2*m - n + m + 34. Let s(r) = r**3 + 2. Let x be s(-2). Determine h(x).
0
Let t(u) = -6*u - 1. Suppose -2*m = -3*r + 17, -8*m + 8 = -6*m + 2*r. What is t(m)?
5
Let y(o) = 9*o**2 - 27*o - 9. Suppose -12*s + 8*s = -24. Let w(u) = 5*u**2 - 14*u - 5. Let i(z) = s*y(z) - 11*w(z). Determine i(-7).
8
Let d = -1605 - -1601. Let p(z) = -z**2 - 1. Determine p(d).
-17
Let g(n) be the second derivative of -n**7/840 - n**6/72 - n**5/40 - n**4/24 + 3*n**3 - 10*n. Let m(j) be the second derivative of g(j). Determine m(-4).
-5
Let u(z) = z**3 - z**2 - 7. Let q be -2*-1*(-1)/(-2). Let i be q/(((-12)/4)/(-3)). Let s(b) = -b**2 + 1. Let v be s(i). What is u(v)?
-7
Let w be (1 + -2)/(2/36). Let h = 30 - 16. Let p = h + w. Let n(g) = -g**2 - 7*g - 5. Give n(p).
7
Let y(o) = 5 + 15*o**2 + 3*o**2 - 5*o - 7*o**2 - o**3 - 6*o**2. Let i be (6/(-4))/(1/(-8)). Suppose 2*d = 5*b - 11 - 18, 4*b + 4*d = i. Calculate y(b).
-20
Let b(a) = a**2 - 4*a + 5. Let r = 66 - 61. Give b(r).
10
Suppose 4*m + 240 = 240. Let q = 0 - -2. Let f be (m + 0)*q/4. Let r(l) = -l**2 - l + 6. Calculate r(f).
6
Let j(r) = -r + 8. Let l(v) = 3. Let f(a) = j(a) - 3*l(a). Let x be ((-10)/4)/((-1)/2). Calculate f(x).
-6
Let q(y) = -y**3 + 10*y**2. Let h be q(10). Let a(t) = t + 9. What is a(h)?
9
Let f(s) be the first derivative of -19*s**3/6 - s**2/2 - 14*s - 1. Let v(h) be the first derivative of f(h). What is v(-1)?
18
Let x be 15/20 - (-62)/(-8). Let y = -2 - x. Suppose -4*c = y + 15. Let w(r) = -2*r - 4. Give w(c).
6
Let y(k) be the third derivative of -k**5/30 + k**4/8 + 5*k**3/6 - k**2. Let f = 24 + -20. Give y(f).
-15
Suppose 70*i - 54*i = 64. Let w(p) = -p**2 + 2*p - 4 - 2 + 3*p. Give w(i).
-2
Let b(d) be the first derivative of -3*d**2 + 4*d - 1/3*d**3 + 14. Give b(-8).
-12
Let f(p) = p**3 + 4*p**2 - 33*p - 117. Let i be f(-4). Let s(b) = 8*b - 114. Give s(i).
6
Let y(o) be the third derivative of o**5/60 + 19*o**4/24 - 5*o**3/3 + 67*o**2. What is y(-20)?
10
Let d(w) be the third derivative of 1/6*w**3 - 6*w**2 + 0*w**4 + 0*w - 1/60*w**5 + 0. Suppose 2*n + 2 = -3*x - 0, -3*x - 12 = -3*n. Calculate d(n).
-3
Let u(v) = -v**3 + 6*v**2 + v - 3. Let j be u(6). Let l(s) = s**2 - 2*s**2 + 7*s**2 + 3*s**2 - 4 - 8*s**2. Give l(j).
5
Let i(c) = 8*c - 1. Suppose 125 = 4*a + 5. Let m be ((-93)/6 - -1)*-2. Let w = m - a. What is i(w)?
-9
Let d be (21/(-14))/((-6)/8). Let j(u) = -3 + 5 - 3 - 9*u + 2*u + d*u**2. Give j(5).
14
Let i(m) = -60*m**2 + 11. Let w(u) = 60*u**2 + 16*u - 28. Let b(v) = -20*v**2 - 5*v + 9. Let n(f) = 16*b(f) + 5*w(f). Let x(s) = 3*i(s) - 8*n(s). What is x(-1)?
-19
Let w(s) = -7*s**2 + 11*s + 9. Let g(p) = 2*p**2 - 2*p - 4. Let i(m) = 3*g(m) + w(m). Let k = 9 + -6. Calculate i(k).
3
Let k(h) = -28*h - 119. Let y be k(-4). Let g(x) = x**3 + 6*x**2 - 7*x + 5. Calculate g(y).
5
Let d(m) be the third derivative of 0*m + 1/12*m**4 + 3*m**2 + 0*m**3 + 0 + 1/60*m**6 + 1/15*m**5. Calculate d(-2).
-4
Suppose 5*u - 3*t = 40, 2*u = 69*t - 67*t + 12. Let h(n) = 2*n - 24. Calculate h(u).
-2
Let l(k) = 2*k**2 + 6*k. Suppose -192 = 3*y - 15*y. Suppose 0 = 3*c + 6*o - 10*o + y, -c + 4*o = 8. Determine l(c).
8
Suppose -3*s - a + 10 = -1, 5*a = -5*s + 15. Suppose -4*h - 4 = -5*h. Let f(q) = -s*q + h*q + 6*q. Calculate f(1).
6
Let h(y) be the first derivative of y**3/6 + y**2 - 4*y + 19. Let a(x) be the first derivative of h(x). Calculate a(-4).
-2
Let m(r) = -5*r**2 + 2*r + 1. Suppose 9 = -3*x + 6*x. Suppose -3*y + 3*i = 9, -3*y - 2*i - i + x = 0. Calculate m(y).
-6
Let n(i) = -9*i + 2. Let q = -2 + -6. Let w be ((-6)/q)/((-18)/(-48)). What is n(w)?
-16
Let r(i) be the first derivative of -i**3/3 - 3*i**2 - 4*i + 82. Determine r(-8).
-20
Suppose -9*h = -7*h - 18. Suppose h*j = 4*j + 40. Let l(t) = -t**2 + 13*t - 11. What is l(j)?
29
Let t(g) = g**3 - 2*g**2 - g**3 + 2 - 2*g + 3*g**2 - g**3 + 0*g**3. What is t(1)?
0
Let h(q) be the third derivative of -q**7/360 - q**5/120 - 5*q**4/12 - 18*q**2. Let l(o) be the second derivative of h(o). Determine l(-1).
-8
Let v(d) = -d**2 + 3. Suppose 4*q - 20 = 4*g, 0 = -q + 3*q + 4*g - 4. Determine v(q).
-13
Let d(z) be the first derivative of z**4/4 + 11*z**3/3 - 13*z**2/2 - 18*z + 53. Calculate d(-12).
-6
Let t(m) = -m - 5. Let x(a) = a - 2. Let g be x(3). Let s be -1 + 1 - (g - 16). Suppose -4*j = -5*y + 45, 3*y - s = -0. Calculate t(j).
0
Let m(w) be the first derivative of w**2/2 - 9*w + 2. Suppose 0 = 3*a - 4*y + 18, 4*a + 21 = a + 5*y. Let v be (a/(-6))/(3/63). Give m(v).
-2
Let b(q) = -q. Suppose 3*x + 5*s = -5, 4*x - 5*s = 6*x. Let i be b(x). Let t(m) = -1 + m**3 + 7 + 0*m**3 - 4*m**2 - 8*m. Give t(i).
-9
Suppose 2 = 2*w - 4. Suppose 5*l + w*l + 64 = 0. Let n(u) = u**3 + 7*u**2 - 7*u - 1. Calculate n(l).
-9
Suppose 354 = 11*f - 383. Let d(n) = -n + f*n**2 - 122*n**2 + 70*n**2. Determine d(1).
14
Let d(q) be the second derivative of q**4/12 - 2*q**3/3 + 3*q**2/2 + 8*q. Let p be (-1)/(1 - 9/6). Calculate d(p).
-1
Let i(g) be the first derivative of g**4/4 + g**3 + g**2/2 + 3*g - 56. Calculate i(-3).
0
Let l(u) = u**3 + 2*u**2 - u + 4. Let d be l(-3). Let r(v) = 2*v + 63 + 2*v**3 + 4*v**2 - 3*v - 37 - 28 + 2*v. Give r(d).
-4
Let z be (-2 - 146)/(-2) - (-8 - -9). Let l(c) = 64*c + 3*c**2 + 7 - c**2 - z*c - c**2. Suppose -2*p = p - 18. Give l(p).
-11
Let i be (1 - -2) + 0/(-5). Suppose 4*y + 0*y = 5*r, y - i*r = -7. Let w(h) = -3 + 0 + h**2 - 3 - 2*h. What is w(y)?
9
Let n be 22/(-4) + 5 + (-10)/(-4). Let j(x) = -6*x + 4*x + 1 + 2 + n*x**2 - 2 + 7*x**3. Give j(1).
8
Suppose -4*s - m = -22, -10*s + 20 = -8*s - 4*m. Let f(x) = -x**2 + 3*x + 7. What is f(s)?
-11
Let l = 63 - 60. Let j(c) = -l + 1 + 0*c**2 + 1 - c**2 - 6*c. Determine j(-7).
-8
Let a(n) be the second derivative of -n**5/20 + n**4 - n**3/6 + 5*n + 27. What is a(12)?
-12
Let j = 4 - 5. Let l(r) = 4*r**3 - r**2 - r - 1. Let h be l(j). Let a(s) = -2 + 0 - 1 + s**3 - 6*s + 4*s**2. Determine a(h).
2
Let m(g) = -7*g**2 + g**3 + 2 + 1 - 7. Suppose 15*y + 2*z + 40 = 19*y, -2 = 4*y + 5*z. Calculate m(y).
-4
Let r(k) be the third derivative of 1/24*k**4 - 3/2*k**3 + 0*k + 0 + 11*k**2. Give r(0).
-9
Let b(p) = p + 30. Let o be b(-14). Let v(z) = -7*z + 15 + 6*z - o. Calculate v(-1).
|
{
"pile_set_name": "DM Mathematics"
}
|
asing order.
147, 1, -209/2
Put -681, 39, -5 in increasing order.
-681, -5, 39
Put -0.725, -1/4, -32 in increasing order.
-32, -0.725, -1/4
Put -120, 47, 5 in decreasing order.
47, 5, -120
Put 1, -633, -0.01, -106, 5 in decreasing order.
5, 1, -0.01, -106, -633
Put 3, -1472, -48 in increasing order.
-1472, -48, 3
Sort 1607, 11, -5, -1 in decreasing order.
1607, 11, -1, -5
Sort -4, 3, 17, 9, -3 in ascending order.
-4, -3, 3, 9, 17
Put 0, -0.409, 5, 0.4 in ascending order.
-0.409, 0, 0.4, 5
Sort -5, 149, -1, 2, -4, 6 in decreasing order.
149, 6, 2, -1, -4, -5
Put -10, 1, 5, -4 in descending order.
5, 1, -4, -10
Sort 3, -5, -150577 in increasing order.
-150577, -5, 3
Sort -3, -1, 227, 1 in ascending order.
-3, -1, 1, 227
Put -2, 78, 33, -14 in ascending order.
-14, -2, 33, 78
Sort -0.2, -70559, 0.2, -11 in ascending order.
-70559, -11, -0.2, 0.2
Put 0, -2, -115, -18, 2 in increasing order.
-115, -18, -2, 0, 2
Sort -3, -5, 3, -98.
-98, -5, -3, 3
Sort 135, 47, -213 in descending order.
135, 47, -213
Sort 14, 0.1, -1/4, 4, 24, 1/8 in descending order.
24, 14, 4, 1/8, 0.1, -1/4
Put -43, -3227, 4 in ascending order.
-3227, -43, 4
Put 217, 2, 37, 4 in descending order.
217, 37, 4, 2
Sort 2/17, -0.07, -1, 0.17 in descending order.
0.17, 2/17, -0.07, -1
Sort -3, 0.3, -10, -5.5, -2, -1 in ascending order.
-10, -5.5, -3, -2, -1, 0.3
Sort 11, 3, -411, 5 in descending order.
11, 5, 3, -411
Put 7/2, -2, -60, 0.5, 4 in descending order.
4, 7/2, 0.5, -2, -60
Put 3.3, -2/5, -0.9, -0.1, 0.1, -2 in increasing order.
-2, -0.9, -2/5, -0.1, 0.1, 3.3
Put 3, 32470, 2, -1/3 in descending order.
32470, 3, 2, -1/3
Put 8, -5, 1, 303, 0 in ascending order.
-5, 0, 1, 8, 303
Sort 6/5, -0.1, -2450, 2 in ascending order.
-2450, -0.1, 6/5, 2
Sort -5, 1206, -2, -4/7, -0.2 in descending order.
1206, -0.2, -4/7, -2, -5
Put -0.5, -1/7, 2, -0.053, -0.2 in descending order.
2, -0.053, -1/7, -0.2, -0.5
Sort -3, 4708, 3 in descending order.
4708, 3, -3
Sort 4, 7067, -102, -5, 5.
-102, -5, 4, 5, 7067
Sort -72, -5, -23, 9 in decreasing order.
9, -5, -23, -72
Sort 1/10, 0, -4/3, -3, -17 in ascending order.
-17, -3, -4/3, 0, 1/10
Put 59, -35, 0, -12 in descending order.
59, 0, -12, -35
Sort -1, 10, -2, 525.
-2, -1, 10, 525
Put 0, 5, -1202, 1, 6 in ascending order.
-1202, 0, 1, 5, 6
Sort -1/3, -73, -0.066.
-73, -1/3, -0.066
Sort -92/3, 2, 7, 1/3, -5, 5.
-92/3, -5, 1/3, 2, 5, 7
Put -247, -1, 0, 34 in increasing order.
-247, -1, 0, 34
Sort -4, 16, 40, 2 in ascending order.
-4, 2, 16, 40
Sort -12668, 4, 1, -4 in descending order.
4, 1, -4, -12668
Put -1/73, 0, 0.4, -3, 3, 0.1 in decreasing order.
3, 0.4, 0.1, 0, -1/73, -3
Put 19, 466, 5, -2, 2/3, 2 in descending order.
466, 19, 5, 2, 2/3, -2
Put -1, -2, -1317.6, 1, -3 in increasing order.
-1317.6, -3, -2, -1, 1
Sort -389, 2, -3/4, -20/7 in descending order.
2, -3/4, -20/7, -389
Sort 1, 2971, 0 in increasing order.
0, 1, 2971
Put -3, -0.4, 3, -5, 72 in decreasing order.
72, 3, -0.4, -3, -5
Sort 917864, 1, -1 in ascending order.
-1, 1, 917864
Sort -4, -10078, 1, -1, -5, 0 in descending order.
1, 0, -1, -4, -5, -10078
Put 0.1, -0.02, 236 in ascending order.
-0.02, 0.1, 236
Sort 6, -11, -5, -10, -2 in descending order.
6, -2, -5, -10, -11
Sort -0.23, 1/2, 3, 2/105 in increasing order.
-0.23, 2/105, 1/2, 3
Put 0.2, -15/7, 0.1, 78, 0.21 in descending order.
78, 0.21, 0.2, 0.1, -15/7
Sort -1607, -11, -3 in decreasing order.
-3, -11, -1607
Sort 1, 6, 790, 4 in increasing order.
1, 4, 6, 790
Put 3, 5, -3, 1, -3336 in increasing order.
-3336, -3, 1, 3, 5
Sort -10, 2, 1, 260, 3 in decreasing order.
260, 3, 2, 1, -10
Put 0.076, 49, 10 in descending order.
49, 10, 0.076
Put 9/16, 2/5, -1/2, -7, 2 in ascending order.
-7, -1/2, 2/5, 9/16, 2
Sort -25, -19, -1, 5 in increasing order.
-25, -19, -1, 5
Put -5, 1/6, -1, 177, -31, 0 in ascending order.
-31, -5, -1, 0, 1/6, 177
Put -2, -15, -1, 5, -13, 1 in descending order.
5, 1, -1, -2, -13, -15
Sort -11, 37, 156 in descending order.
156, 37, -11
Put -2/27, -0.2, -21, 1.3, -4 in decreasing order.
1.3, -2/27, -0.2, -4, -21
Sort 0, -1, -22828 in increasing order.
-22828, -1, 0
Put -1131, -102, -1 in descending order.
-1, -102, -1131
Sort 3, 0.2057, 3.2 in ascending order.
0.2057, 3, 3.2
Sort 9, 4, 3, -4, -99, -21 in decreasing order.
9, 4, 3, -4, -21, -99
Sort -1.01, -2/23, -0.48.
-1.01, -0.48, -2/23
Sort -15, -4, -449 in increasing order.
-449, -15, -4
Sort -0.3, 4, -1, 1319.
-1, -0.3, 4, 1319
Put 11, 27, 0, 5 in decreasing order.
27, 11, 5, 0
Put 1/5, 1/4, -23149 in ascending order.
-23149, 1/5, 1/4
Sort -2, 22, 531, 2, 1, 5 in descending order.
531, 22, 5, 2, 1, -2
Put -1, 22, -4, 1, -81, 3 in decreasing order.
22, 3, 1, -1, -4, -81
Sort -35, 5, -4, -2, -334 in ascending order.
-334, -35, -4, -2, 5
Put 107, 17, -5, 4, 1 in decreasing order.
107, 17, 4, 1, -5
Put 4, -4, -2, -1/91, -62/3 in descending order.
4, -1/91, -2, -4, -62/3
Sort 4, -2, -4, 24, 10 in descending order.
24, 10, 4, -2, -4
Sort -512, 4, -5, -6, -1 in ascending order.
-512, -6, -5, -1, 4
Sort 5, 1/20, -10, 37, -3 in increasing order.
-10, -3, 1/20, 5, 37
Sort 4, 0, 24, 141, 3 in decreasing order.
141, 24, 4, 3, 0
Put -10, 0, 1, 175, -4, 9 in increasing order.
-10, -4, 0, 1, 9, 175
Sort 14, -24, 1823 in ascending order.
-24, 14, 1823
Sort 1, -3625, -0.3, 0.2 in descending order.
1, 0.2, -0.3, -3625
Sort -12, -1, -134, 3, -4, -2 in decreasing order.
3, -1, -2, -4, -12, -134
Put -0.05, 1, -3, 0, -0.7 in decreasing order.
1, 0, -0.05, -0.7, -3
Put 2/3313, 5, 150 in increasing order.
2/3313, 5, 150
Sort -4, 3, -0.1, 5/2, 3.2, 0.05.
-4, -0.1, 0.05, 5/2, 3, 3.2
Put -1, -4, -1/2, 0.02, 7 in decreasing order.
7, 0.02, -1/2, -1, -4
Put -2, 1, -4475, -1, -3 in decreasing order.
1, -1, -2, -3, -4475
Sort -350, -29, -23 in descending order.
-23, -29, -350
Put 1, 3801, -40/9 in ascending order.
-40/9, 1, 3801
Sort 0.5, 1/3, 2, -9/4, 68.
-9/4, 1/3, 0.5, 2, 68
Sort 2, -10, -4513.
-4513, -10, 2
Put 0.5, -32, -2, -1/8, 5/8, -190 in descending order.
5/8, 0.5, -1/8, -2, -32, -190
Sort -2, 3/8, -3/23, -1/2 in decreasing order.
3/8, -3/23, -1/2, -2
Sort 43.8, -19, 50 in decreasing order.
50, 43.8, -19
Sort -2/11, 3, -44, 3/4, 1, -0.14 in descending order.
3, 1, 3/4, -0.14, -2/11, -44
Sort -432.1, 2/7, 5 in descending order.
5, 2/7, -432.1
Sort 0.4, -4, -2.15, 4, 1.55, -3.
-4, -3, -2.15, 0.4, 1.55, 4
Sort 0.7, -3, -0.2, 3, 5/6 in decreasing order.
3, 5/6, 0.7, -0.2, -3
Sort -2/17, -2711/7, 0.2, 3/4 in ascending order.
-2711/7, -2/17, 0.2, 3/4
Put -3/4, -5, -355, -3 in descending order.
-3/4, -3, -5, -355
Sort -0.2, 34, 1, -0.5, -9.
-9, -0.5, -0.2, 1, 34
Sort 2150, -4, 11, -3 in ascending order.
-4, -3, 11, 2150
Sort 5, -5, 12, 34, 106.
-5, 5, 12, 34, 106
Sort 18/13, -2409, 1/10 in ascending order.
-2409, 1/10, 18/13
Put 1, 4, 8, 656 in increasing order.
1, 4, 8, 656
Put -12, 14, 6, -1, -3, 0 in increasing order.
-12, -3, -1, 0, 6, 14
Put 282, -2, -216 in increasing order.
-216, -2, 282
Put 0.1, -4, 51/274, -1, -0.3, 0.3 in ascending order.
-4, -1, -0.3, 0.1, 51/274, 0.3
Sort 30, -32, 1, 3, 6 in increasing order.
-32, 1, 3, 6, 30
Put 2.4, 0.1, -0.03949 in descending order.
2.4, 0.1, -0.03949
Sort -12, 2, 1/5, -3/4, 0.3, -4.
-12, -4, -3/4, 1/5, 0.3, 2
Sort -4, -5, 64, -35 in increasing order.
-35, -5, -4, 64
Sort -13, -2, 0, 1, -143 in ascending order.
-143, -13, -2, 0, 1
Put 1/4, -252, -163, 0.08, -0.1 in descending order.
1/4, 0.08, -0.1, -163, -252
Put 3, -1, -4, 5, -256 in decreasing order.
5, 3, -1, -4, -256
Put 11, -6, -3, -2, 2, 1 in descending order.
11, 2, 1, -2, -3, -6
Sort 4/7, 7, 11, 1/2, 0.1, 6/17 in ascending order.
0.1, 6/17, 1/2, 4/7, 7, 11
Sort 0, 0.1, 2129 in descending order.
2129, 0.1, 0
Sort -113, 0, 4, -186, -5.
-186, -113, -5, 0, 4
Put -1, -4, 4, 385, -28 in descending order.
385, 4, -1, -4, -28
Sort 5, -0.1, -2/5, -2, 2, 6.
-2, -2/5, -0.1, 2, 5, 6
Sort 3/5, -522, -2, -2/5 in descending order.
3/5, -2/5, -2, -522
Sort 0.09, -3/8, -28.77, 5, -4/3 in descending order.
5, 0.09, -3/8, -4/3, -28.77
Sort 3, 1683, -47 in increasing order.
-47, 3, 1683
Sort -0.24, 4, 385, 0.3, -2/5 in descending order.
385, 4, 0.3, -0.24, -2/5
Put -0.2, 0.2, -5801, -0.5 in increasing order.
-5801, -0.5, -0.2, 0.2
Sort 0, 3, 1/6, -0.4, 1001, 3.5 in increasing order.
-0
|
{
"pile_set_name": "DM Mathematics"
}
|
7 - 236*k**2. Solve b(d) = 0.
-106, -10, -1
Suppose 1459*u - 4238 = 732*u - 1332*u - 120. Solve 1/8*a**u + 15/8*a - 2 = 0.
-16, 1
Let i(h) be the second derivative of -73/24*h**3 + 1/30*h**6 + 29/16*h**4 + 212*h - 39/80*h**5 + 21/8*h**2 + 0. Factor i(z).
(z - 7)*(z - 1)**2*(4*z - 3)/4
Let v = 102 - 100. Let w be 6/21 + 12/7. Solve 2*n + 0*n**w - 2*n**v + n**2 = 0 for n.
0, 2
Let r(i) be the first derivative of i**3/12 - i**2/2 - 117*i/4 - 488. Factor r(k).
(k - 13)*(k + 9)/4
Suppose 4*m + m = -2*n + 80, -n - 16 = -m. Suppose -21*h = -23*h + m. Factor -51*g - 16*g**2 + 12 + h*g - g.
-4*(g + 3)*(4*g - 1)
Let t = 8 - 5. Let d(i) = 237*i + 1427. Let y be d(-6). Solve 3*p**2 + 2*p + 3*p**t - p - 4*p**3 - 8 + y = 0.
-1, 1, 3
Solve -68/3*z - 2/3*z**2 - 80 = 0.
-30, -4
Let u(z) be the second derivative of -z - 3 - z**5 + 5/2*z**4 + 5/2*z**2 - 10/3*z**3 + 1/6*z**6. Suppose u(x) = 0. Calculate x.
1
Let c(p) be the third derivative of 1/540*p**6 + 1/30*p**5 + 0*p**3 + 0*p**4 + 0 + 0*p - 58*p**2. Factor c(v).
2*v**2*(v + 9)/9
Let s(y) = y**3 - 13*y**2 - 2*y - 171. Let z be s(17). Let u = -10459/11 + z. Let 2/11*j**2 - u*j**4 + 2/11*j**3 + 0 - 2/11*j**5 + 0*j = 0. What is j?
-1, 0, 1
Suppose 2*d - 211 = -3*j - 3*d, 335 = 5*j + 5*d. Suppose -63*h + j*h = -5. Let k(p) = -p**2. Let x(b) = -b**3 + 10*b**2. Let n(g) = h*k(g) + x(g). Factor n(i).
-i**2*(i - 5)
Determine u so that -15*u**2 + 344*u**5 + 28*u**3 - 24*u + 19*u**2 - 4*u**4 - 348*u**5 = 0.
-3, -1, 0, 1, 2
Let b be (-55)/187 + (-305)/(-1037). Factor -3/7*k**2 + b - 6/7*k.
-3*k*(k + 2)/7
Let t(n) = -n**3 + 51*n**2 + 178*n - 859. Let p be t(54). Factor -12/7*u**3 + 0 + 16/7*u**4 - 50/7*u - 2/7*u**p - 80/7*u**2.
-2*u*(u - 5)**2*(u + 1)**2/7
Factor -453*f**2 + 112*f**2 + 113*f**2 + 394*f + 117*f**2 + 113*f**2.
2*f*(f + 197)
Suppose 218*z + 474 = 220*z. Suppose 237 - z = -p. Find a such that 0 + 4/9*a**3 + 4/9*a**2 + p*a = 0.
-1, 0
Factor 0*f - 133*f**2 - 132*f**4 - 531/2*f**3 + 1/2*f**5 + 0.
f**2*(f - 266)*(f + 1)**2/2
Let y(t) be the first derivative of -1/12*t**3 - 9/4*t - 5/4*t**2 - 282. Determine h, given that y(h) = 0.
-9, -1
Let x be (-3)/(-5 + 2) + 12 + -8. Suppose x*s - 25 = 5*n, n - 3 = -5*s + 4. Find j, given that 15*j**s - 17*j**2 + 7*j**2 = 0.
0
Factor -2/3*q**3 - 104*q - 50/3*q**2 + 0.
-2*q*(q + 12)*(q + 13)/3
Let j(d) = -109*d - 3*d**2 + 3 + 80*d - 1 + 3 + 6*d**2. Let b(y) = y**2 - 15*y + 2. Let g(n) = -15*b(n) + 6*j(n). Determine m, given that g(m) = 0.
-17, 0
Let d(w) be the first derivative of 5*w**3/3 - 35*w**2/2 - 90*w + 2210. Let d(c) = 0. What is c?
-2, 9
Let r(m) = 123*m + 861. Let v be r(-7). Let h be -1 + (-29)/(-15) - (-19)/(-57). Factor 24/5*f + v*f**3 - h*f**4 + 9/5 + 18/5*f**2.
-3*(f - 3)*(f + 1)**3/5
Let a(z) be the second derivative of -1/10*z**4 - 8/25*z**5 + 7/75*z**6 + 16/15*z**3 + 22*z - 4/5*z**2 + 0. Solve a(k) = 0 for k.
-1, 2/7, 1, 2
Let o(t) be the third derivative of 0*t + 0*t**3 - 11/240*t**5 - 31*t**2 - 1/16*t**4 + 0 + 1/40*t**6 + 1/168*t**7. Factor o(p).
p*(p - 1)*(p + 3)*(5*p + 2)/4
Let c(t) = 3*t**4 + 4*t**3 - 3*t**2 - t. Let f(s) = -17*s**4 + 95*s**3 - 348*s**2 + 6*s. Let m(i) = 6*c(i) + f(i). Factor m(r).
r**2*(r - 3)*(r + 122)
Let o be (5/(-900))/((-6)/9724) - 9. Let s(q) be the third derivative of 4/3*q**3 + o*q**5 + 0*q + 17*q**2 + 1/9*q**4 + 0. Factor s(b).
2*(b + 6)**2/9
Let r(c) be the first derivative of -27/2*c**2 - 60*c - 186 + 1/2*c**3. Determine l, given that r(l) = 0.
-2, 20
Let n(o) = -5*o**2 + o + 5. Let z be n(9). Let b be z/(-17) + 1*(3 - 2). Find g such that 13*g**3 + 27*g**4 - 12*g - 12*g**3 - b*g**2 + 8*g**3 = 0.
-2/3, 0, 1
Suppose -w - 5*r - 385 = 0, 33*w = 37*w - 4*r + 1492. Let d be (-200)/w + 2/(-10)*-4. What is a in -8/3 + 4/3*a**3 + 8/3*a**2 - d*a = 0?
-2, -1, 1
Let g(n) be the second derivative of -n**4/6 - 8*n**3 - 135*n**2 + n + 256. Factor g(h).
-2*(h + 9)*(h + 15)
Let m = 207905 + -623714/3. Determine i so that -7*i**2 - 33*i + 121/3 - m*i**3 = 0.
-11, 1
Let j = 673 + -589. Let w be ((-36)/(-63))/(24/j). Factor 1/6*i**w + 1/6*i - 1/3.
(i - 1)*(i + 2)/6
Let j(x) = 16*x - 12. Let z be j(1). Factor -8*b**3 + 3 - 107*b - 4 + 5 - z*b**4 + 115*b.
-4*(b - 1)*(b + 1)**3
Let w be (7 - -4 - 2)/(363/(-242))*(-6)/23. Factor -2/23*p**4 + 0 - 42/23*p**2 + 16/23*p**3 + w*p.
-2*p*(p - 3)**2*(p - 2)/23
Let m be 1*(-2)/10*(50 - 5889). Let v = m + -1163. Solve v*s + 4/5*s**2 + 0 = 0.
-6, 0
Factor 0 + 28/13*k**2 - 2/13*k**3 - 98/13*k.
-2*k*(k - 7)**2/13
Let h = 2688558371419224/41461 - 64845478179. Let x = -3/5923 + h. Factor 36/7*p - x - 3/7*p**2.
-3*(p - 6)**2/7
Suppose 412 + 368 = -15*x. Let f be x/(-10) - (-11 + 16). Factor f*a**2 - 4/5*a - 1.
(a - 5)*(a + 1)/5
Let k(a) = -7*a**3 + 11*a**2 + 13*a + 13. Let o(y) = -15*y**3 + 23*y**2 + 26*y + 27. Let u be 6/2 + (-14 + -2)*1. Let l(f) = u*k(f) + 6*o(f). Factor l(c).
(c - 7)*(c + 1)**2
Let l = 25/267 + 3079/1335. Let a(j) be the first derivative of 1/2*j**4 + 16/5*j - l*j**3 + 12/5*j**2 - 28. Suppose a(u) = 0. What is u?
-2/5, 2
Let b be (-27)/540 + (5418/1960 - (-4)/14). Determine u so that 2/21*u**4 - 8/21*u + 2/21*u**b + 0 - 8/21*u**2 = 0.
-2, -1, 0, 2
Let z(k) be the first derivative of -k**3/7 + 825*k**2/7 - 226875*k/7 - 5712. Factor z(t).
-3*(t - 275)**2/7
Let w(k) be the first derivative of 5*k**4/4 + 5*k**3/3 - 60*k**2 + 180*k + 909. Suppose w(x) = 0. What is x?
-6, 2, 3
Suppose 12 = 26*d - 14. Suppose 2 = 4*z - 2. Factor -z - 3*i - 4*i**2 + d - 62*i**3 + 61*i**3.
-i*(i + 1)*(i + 3)
Factor -992*m + 1070 - 2127*m + 5333*m - 1149*m - 5*m**2.
-5*(m - 214)*(m + 1)
Suppose -174*y - 343*y + 736 = -37*y - 224. Solve -48/11 - 2/11*b**2 - y*b = 0 for b.
-8, -3
Let h(g) be the first derivative of 3*g**5/5 - 21*g**4/4 + 5*g**3 + 21*g**2/2 - 18*g + 1190. Factor h(t).
3*(t - 6)*(t - 1)**2*(t + 1)
Let h(u) be the third derivative of 1/30*u**5 - 1/40*u**6 - 4 + 1/210*u**7 + 0*u + 8*u**2 + 0*u**4 + 0*u**3. Factor h(d).
d**2*(d - 2)*(d - 1)
Determine b so that 40*b**3 + 20*b**2 + 5*b - 45*b + 19*b**2 - 286*b**4 - 60 + 16*b**2 + 291*b**4 = 0.
-6, -2, -1, 1
Suppose -5*p = -4*b - 78, 0*p = -p + b + 16. Let f(h) = h**2 - 9*h + 15. Let k be f(p). Determine q so that -82*q - 3*q**2 - 1 + 1 + k*q = 0.
0, 1
Let g(r) = 7*r**4 - 171*r**3 + 3526*r**2 - 3362*r. Let c(b) = 6*b**4 - 170*b**3 + 3526*b**2 - 3362*b. Let s(p) = 5*c(p) - 4*g(p). Determine n so that s(n) = 0.
0, 1, 41
Let v(z) be the first derivative of -5*z**3/3 + 935*z**2/2 + 1890*z - 562. Determine j, given that v(j) = 0.
-2, 189
Let t(k) = -k**3 + k**2 - k. Let c(h) = h**4 + 8*h**3 - 81*h**2 - 592*h - 644. Let z(d) = -c(d) + 12*t(d). Suppose z(y) = 0. Calculate y.
-23, -2, 7
Let u(p) be the second derivative of p**4/12 - 199*p**3/6 - 100*p**2 + 8809*p. Let u(l) = 0. Calculate l.
-1, 200
Let l(y) be the first derivative of 4/3*y**3 + 70 + 0*y + 2*y**2. Factor l(j).
4*j*(j + 1)
Suppose -5*i = 11 + 4, 4*i = -a - 7. Factor -521*y**2 + 16 + a*y**3 - 7*y**3 + 511*y**2 - 4*y.
-2*(y - 1)*(y + 2)*(y + 4)
Let l be (-58)/22185*-17 + (-266)/(-90). Find v, given that 0 + 3/2*v + 3*v**l - 15/4*v**2 - 3/4*v**4 = 0.
0, 1, 2
Let t(j) be the first derivative of j**3/5 + 2037*j**2/10 - 408*j - 1968. Determine k so that t(k) = 0.
-680, 1
Let r(o) be the first derivative of o**4/10 + 8*o**3/15 - 49*o**2/5 - 392*o/5 + 1601. Let r(l) = 0. What is l?
-7, -4, 7
Let j(r) = 5*r**4 + 0 - 7 - 4*r**4 + 7 - r**2. Let l(u) = 3*u**4 - 40*u**3 + 77*u**2 + 40*u - 80. Let h(v) = -2*j(v) - l(v). Factor h(k).
-5*(k - 4)**2*(k - 1)*(k + 1)
Suppose -40*v - 28*v = -23*v - 3105. Determine d so that -529/2 + v*d - 9/2*d**2 = 0.
23/3
Let k(g) = 71*g**2 - 7*g - 6. Let w be k(-4). Find f such that 6*f**2 - 585*f**3 - 575*f**3 + w*f**3 = 0.
0, 3
Let q = -117 - 138. Let x = q + 256. Solve -1/2*s + 1/2*s**3 + s**2 - x = 0.
-2, -1, 1
Let u be 36/168*147/54 - 1/(-6). Suppose -15/4*c**4 + 0*c - 21/4*c**3 - u*c**5 - 9/4*c**2 + 0 = 0. Calculate c.
-3, -1, 0
Let b be (-4)/22 - -4*1939/308. Determine a so that -55*a + 8*a**3 - 3*a**3 - b - 35*a**2 - 10*a**3 = 0.
-5, -1
Let h(b) be the second derivative of -1 + 14*b - 1/8*b**5 - 5*b**2 - 25/24*b**4 - 10/3*b**3. Determine z, given that h(z) = 0.
-2, -1
Determine l, given that 903*l - 171/8*l**2 + 1/8*l**3 + 1849/2 = 0.
-1, 86
Suppose 5*u + 57*t = 62*t + 25, 2*u
|
{
"pile_set_name": "DM Mathematics"
}
|
for z.
49
Solve -1114*q - 17097 + 387 = 0 for q.
-15
Solve -881*l = 5990 - 36825 for l.
35
Solve -1506*q - 3068 = -7224 - 13916 for q.
12
Solve 458*d = 273*d - 941*d - 32*d + 33582 for d.
29
Solve -157*l = 506*l - 2661 - 50379 for l.
80
Solve 176*p + 1143 = 949 - 756 - 4154 for p.
-29
Solve 0 = 1727*p - 679*p - 35534 + 19736 - 35554 for p.
49
Solve -220 = 43*b - 1157 + 307 + 329 for b.
7
Solve -117*n - 1612918 = 14957*n for n.
-107
Solve 0 = 683*w + 1038*w + 31195 + 10109 for w.
-24
Solve -297*w = -109*w - 7520 for w.
40
Solve 414*n = 331*n + 2158 for n.
26
Solve 0 = -2516*m - 131043 - 75269 for m.
-82
Solve -46*v - 199 - 239 + 24 = 0 for v.
-9
Solve 337*t + 64*t = -56*t + 20565 for t.
45
Solve -539*p + 6979 = -45*p + 140*p + 2541 for p.
7
Solve 297*t = 29568 - 18282 for t.
38
Solve 248*j + 216*j = 728*j - 228*j + 4212 for j.
-117
Solve -253*m - 64*m - 115*m = -61*m + 47*m for m.
0
Solve 34052 = 2154*m - 21952 for m.
26
Solve 30799 = 30*m + 32209 for m.
-47
Solve 60*h - 181*h + 48*h = -58*h - 495 for h.
33
Solve 2072545*z - 108 = 2072557*z for z.
-9
Solve -16629*c = -16640*c - 33 for c.
-3
Solve -751714 + 751876 = 162*q for q.
1
Solve 3719*a + 1624*a = 1792*a - 298284 for a.
-84
Solve 555 = -34*v + 186 - 73 for v.
-13
Solve -621*a = -18909 - 11520 for a.
49
Solve -1239*a - 143*a - 754 = 43203 + 9941 for a.
-39
Solve -187*a = 662*a + 57*a - 38958 for a.
43
Solve 286*c + 119167 = 139473 for c.
71
Solve 0 = 90738*p - 90898*p + 960 for p.
6
Solve 13*b = 5699874 - 5700069 for b.
-15
Solve 453*q - 10*q = -410*q - 37532 for q.
-44
Solve 16210 + 9080 = -2529*z for z.
-10
Solve 2809*q = -760240 + 1001814 for q.
86
Solve 1163 - 581 = -16*c + 502 for c.
-5
Solve -725*k - 3220 + 12875 + 28992 = -4128 for k.
59
Solve -38*d - 88*d = -27*d - 6435 for d.
65
Solve 26636 = -476*r + 14736 for r.
-25
Solve 146*y + 604 = 184*y - 878 for y.
39
Solve -887*j - 2416 = -39728 - 28326 for j.
74
Solve -404*h - 8052 = -141*h - 131*h for h.
-61
Solve 4764 = -571*b + 28175 for b.
41
Solve 240937*z = 241034*z - 1455 for z.
15
Solve 7172*c + 3283 + 1883 = 7090*c for c.
-63
Solve 936*a + 3111 + 3831 = -221*a for a.
-6
Solve -347*c - 1397*c = -445*c + 1722 - 106941 for c.
81
Solve 0 = 1256*m + 4232 + 19079 + 45769 for m.
-55
Solve 48291 = -1922*c + 7929 for c.
-21
Solve -54*m + 6380 - 5462 = 0 for m.
17
Solve 402*q + 27041 = 1515*q - 53095 for q.
72
Solve 3305*y - 411*y = 20258 for y.
7
Solve 4027 - 9988 = 161*g + 6628 + 2062 for g.
-91
Solve -754*j - 560*j + 1142 - 26773 = 20359 for j.
-35
Solve -1234 - 393 = -401*w + 779 for w.
6
Solve -11929*p + 52358 = -13043*p for p.
-47
Solve -498*i - 115782 = 2220*i + 2316*i for i.
-23
Solve -1922 = 90146*n - 90208*n for n.
31
Solve 6635*p + 1137 = 3310*p + 3367*p - 2097 for p.
77
Solve -63*q + 2374 = 25*q - 1322 for q.
42
Solve 41*h = 4*h - 142 + 2604 - 871 for h.
43
Solve -721*t - 366*t - 333*t + 88827 = 1643*t for t.
29
Solve 1181*v = 235*v - 710*v - 36432 for v.
-22
Solve 50235 - 80067 = -129*k - 461*k + 51588 for k.
138
Solve 46*h + 423 = 88*h - 879 for h.
31
Solve -2244*g + 2980*g - 3642*g = 10235*g - 998716 for g.
76
Solve 628*l - 42234 - 1533 = 1449 for l.
72
Solve -15430 = -67*t - 17909 for t.
-37
Solve -152*k - 9228 = 397*k + 29202 for k.
-70
Solve 994*z - 97 - 122 = 501*z + 566*z for z.
-3
Solve h - 335 = h - 16*h - 1199 for h.
-54
Solve -1529*t + 2186 = -5459 for t.
5
Solve -21*x - 51506813 = 13*x - 51505283 for x.
-45
Solve 0 = 230*j + 4336 - 1952 + 3596 for j.
-26
Solve 79*n = 11564 - 3190 for n.
106
Solve 299*i + 4784 = -148*i + 79*i for i.
-13
Solve -366*z - 9436 + 5227 = 20596 + 4841 for z.
-81
Solve 2825*d - 3667*d = 5894 for d.
-7
Solve 0 = -2079*f + 13029 + 59749 + 16619 for f.
43
Solve -277 + 575 + 241 = 49*i for i.
11
Solve -18*a - 106859 = -107471 for a.
34
Solve -189*g = 7408 + 4310 for g.
-62
Solve -349 = -63*l + 205 + 139 for l.
11
Solve -240*i + 11596 - 18316 = 0 for i.
-28
Solve 0 = -9*m - 13*m + 9208 - 9934 for m.
-33
Solve 98*d + 275979 - 269413 = 0 for d.
-67
Solve -10419*p + 1226*p - 460647 = 955075 for p.
-154
Solve -134*a - 2541 = -1574 + 550 + 3173 for a.
-35
Solve 102*n - 196*n - 1489 + 4591 = 0 for n.
33
Solve 8857 + 6094 = -126*z + 1144 + 1333 for z.
-99
Solve 0 = -97124*i + 97182*i - 7018 for i.
121
Solve 0 = -57303827*v + 57303519*v + 24024 for v.
78
Solve -279 = -517*w + 302 - 64 for w.
1
Solve 0 = -1634*i + 38318 + 12993 + 18951 for i.
43
Solve 52*t + 2764 = 2140 for t.
-12
Solve 2375*a = 2268*a + 2354 for a.
22
Solve -37252631*f + 37252635*f = -280 for f.
-70
Solve 84013 = -573*y + 36052 - 20799 for y.
-120
Solve 1815070*s = 1815020*s + 50 for s.
1
Solve -4190*p + 1428*p + 1432*p + 1497*p + 6346 = 0 for p.
-38
Solve 116*q + 111*q + 10205 = 63*q - 2915 for q.
-80
Solve 630789 = -24*z + 630789 for z.
0
Solve -79*x = 1988 + 1646 for x.
-46
Solve 0 = -7925*b - 30838 - 167287 for b.
-25
Solve 1225*f + 4175 - 30196 = 24204 for f.
41
Solve 1021*d - 1024*d - 112 - 90 - 101 = 0 for d.
-101
Solve -1696*s - 3029 - 4855 = -119820 for s.
66
Solve -60*s - 170 + 313 = -263 - 794 for s.
20
Solve -7501 - 24825 = -1056*n - 1253*n for n.
14
Solve -2314 - 928 = 263*s - 12710 for s.
36
Solve 43*u + 43*u - 799*u - 47588 - 21573 = 0 for u.
-97
Solve -64*b - 53*b - 3402 = 45*b for b.
-21
Solve -65*z = 197*z + 128847 - 119415 for z.
-36
Solve 114*o = 784375 - 780043 for o.
38
Solve -407*f + 781*f - 33 = 402*f + 23 for f.
-2
Solve 6523*w + 1519232 = -11781*w for w.
-83
Solve -213925*c - 19342 = -214434*c for c.
38
Solve -49 - 2529 = -65*w + 904 + 1068 for w.
70
Solve 1284*f - 45167 = 277*f + 39421 for f.
84
Solve 66*m + 268954 = 265588 for m.
-51
Solve 2435 = 44*l - 337 for l.
63
Solve 1052*y - 18719 = 113833 for y.
126
Solve 77*r + 9418 - 3489 = -44*r for r.
-49
Solve 43405*w - 6000 = 43209*w + 76 for w.
31
Solve -162*p + 162 + 215 = 55*p - 57 for p.
2
Solve 173437*r - 346867*r - 2201 = -173461*r for r.
71
Solve -434*b + 2015*b + 83*b = 80293 + 44507 for b.
75
Solve 48*l - 6943 = -93*l - 739 for l.
44
Solve 0 = 4223*t + 86016 - 29641 + 63824 + 74059 for t.
-46
Solve 356*j = 1488 + 8124 for j.
27
Solve -2264*i - 100257 + 5457 = -1105*i + 2791*i for i.
-24
Solve 837*h - 3515 = -632*h - 1661*h - 385 for h.
1
Solve 56*d - 1674 - 5373 = -227*d + 22*d for d.
27
Solve 80*c + 116897 = 117937 for c.
13
Solve -321*f + 1661 = -537 - 49 for f.
7
Solve 122*g + 55*g = -6696 - 1092 for g.
-44
Solve 33*h - 127*h + 2786751 - 2783649 = 0 for h.
33
Solve -26807 = 11744*d - 9456*d + 25817 for d.
-23
Solve -4379 - 3103 = 95*h - 1877 for h.
-59
Solve 2710*r + 19485 + 300295 = 0 for r.
-118
Solve -584*u - 2767 = 6123 + 10966 for u.
-34
Solve -1464*t - 1292 + 468 - 640 = 0 for t.
-1
Solve 94648 - 495031 = 4943*s for s.
-81
Solve 1680*c - 74914 = 27566 for c.
61
Solve -34*i - 5381 = 295*i + 5805 for i.
-34
Solve -95*t - 22052 = -108*t - 1500*t - 65929 for t.
-29
Solve 3*v - 979*v = -6*v - 51410 for v.
53
Solve -2479*i = 247*i + 84506 for i.
-31
Solve -178 = 66*v + 847 + 1799 - 448 for v.
-36
Solve -30*f + f - 102 = -279*f - 5102 for f.
-20
Solve -2706061*z + 2708045*z + 277760 = 0 for z.
-140
Solve -1472*z + 40200 = -70200 for z.
75
Solve -928 = 15*w - 253 for w.
-45
Solve 79*t + 1870 = 80*t - 111*t for t.
-17
Solve 8362 = -6394016*o + 6393903*o for o.
-74
Solve -4690354*f + 3267 + 10493 = -4690139*f for f.
64
Solve -38306985*h + 38307026*h + 1845 = 0 for h.
-45
Solve 87*d + 28*d = 3*d - 4304 - 1968 for d.
-56
Solve -252*l = 4*l + 16*l + 28683 - 3387 for l.
-93
Solve 987*v = 58967 - 20474 for v.
39
Solve 53*z = -353*z - 275*z + 1010*z - 9870 for z.
30
Solve 0 = 126096*y - 126193*y + 5432 for y.
56
Solve -608*u = 527*u + 59020 for u.
-52
Solve 595 = -31353*u + 31376*u - 1367 - 200 for u.
94
Solve -357*p = -395*p + 944 + 1298 for p.
59
Solve 1709*y + 272 = 45*y + 20240 for y.
12
Solve 6429 + 771 = -600*s for s.
-12
Solve 14*l - 4*l = 4*l + 3*l - 84 for l.
-28
Solve -71280 = -998*s - 298*s for s.
55
Solve 360*r - 230540 - 94161 = 8724*r + 235687 for r.
-67
Solve -135*c + 2874 = -332 - 979 for c.
31
Solve -5917*o + 167913 = 302*o for o.
27
Solve -41668*o + 41870*o = 13938 for o.
69
Solve -86*y + 3589 = 33*y - 97*y + 75*y for y.
37
Solve 125*t + 434*t - 3448 + 3335 = 12185 for t.
22
Solve 1752583*c = 1751329*c - 22572 for c.
-18
Solve 45*k + 75
|
{
"pile_set_name": "DM Mathematics"
}
|
))/(w**(-14)*w))**50)**(6/25) assuming w is positive.
w**120
Simplify (z*(z*z**(-1/21))/z)**(-23/3)/(z**(-2/29)*z)**(-3/10) assuming z is positive.
z**(-128297/18270)
Simplify ((a*a**(-6/5))/a*a**(-2))/(a**(1/7)/a**(-15)) assuming a is positive.
a**(-642/35)
Simplify ((y**(-1/3)/y)/(y*y/(y**(3/4)*y*y)))/(y**(2/7)/y)**(-1/21) assuming y is positive.
y**(-121/196)
Simplify ((n**0)**6/(n*n*n/(n*n**(1/3)))**(9/4))**(2/19) assuming n is positive.
n**(-15/38)
Simplify o**(-8)/o**4*(o**(3/8)*o*o*o)/o*o*o**28 assuming o is positive.
o**(155/8)
Simplify (b**0)**(27/4)*b**(2/11)/(b/b**5) assuming b is positive.
b**(46/11)
Simplify ((m**(-2)/m)/m*m**(2/11)/m*m*m*m*(m*m*m**(2/15)*m)/m*m**3)**(-16) assuming m is positive.
m**(-8752/165)
Simplify (u**(-2/9)/(u/((u/(u*(u*u*u**(-2/31))/u*u)*u)/u))*((u/u**(5/7))/u)/(u/(u**(6/7)/u)))**(2/13) assuming u is positive.
u**(-19588/25389)
Simplify ((c**(-3/20)*c)/(c*c*c/c**25))**44 assuming c is positive.
c**(5027/5)
Simplify ((x/(((x**(-7)*x*x)/x)/x))/(x/(x**(-6/7)/x)))/(x**0*x**(-7)) assuming x is positive.
x**(85/7)
Simplify (((x**(-3/10))**(1/32))**(-1/28))**(-39) assuming x is positive.
x**(-117/8960)
Simplify (u**(2/7)*u)**(-11)*u/u**11*u*u**1 assuming u is positive.
u**(-155/7)
Simplify t**3*t**12*(t*t/((t**0/t)/t)*t*t)/(t**(-7)*t) assuming t is positive.
t**27
Simplify f**(-2/51)*f**(5/2)*(f*f*f**18/f*f)/f**(-3/16) assuming f is positive.
f**(18481/816)
Simplify (((c*c**(6/11))/c*c*c*c/(c**0/c))/((c*(c/c**(-5))/c*c)/c**(-2)))**(-46/5) assuming c is positive.
c**(2254/55)
Simplify (q**(1/11)*(q*q*(q**19/q)/q*q)/q)/((q/(q**(-2/43)/q))/q)**(-3/8) assuming q is positive.
q**(73725/3784)
Simplify (v**(-8))**21/(v**18)**(25/6) assuming v is positive.
v**(-243)
Simplify (s**(-19/3)/(s/((s/(s*s/(s/s**3)))/s*s*s*s)*s*s))/(s*s*s/(s/s**(-19)))**20 assuming s is positive.
s**(989/3)
Simplify r**(-13)/(r**(-3/5)/r)*((r**(-12)/r)/r*r)**(-32) assuming r is positive.
r**(2023/5)
Simplify (h**(-29)/h**5)/(h**(-20)*h*h/(h*h**(-18))) assuming h is positive.
h**(-33)
Simplify t**(-4/9)/(t/t**(-12))*t**21/t**(1/4) assuming t is positive.
t**(263/36)
Simplify (((p/(p**(-1)/p))**(3/41))**(6/17))**(-29) assuming p is positive.
p**(-1566/697)
Simplify m**3/m**2*m**(-8)*(m**(-1)/m)/m assuming m is positive.
m**(-10)
Simplify (((r**2)**(-3/14))**(-4/7))**(-4) assuming r is positive.
r**(-48/49)
Simplify (t/(((t/t**(-17)*t)/t)/t)*t/t**(-3))/(((t/(t*t/(t**2*t)*t))/t)/t**21) assuming t is positive.
t**9
Simplify (w**6)**46*(w**3)**(-25) assuming w is positive.
w**201
Simplify (t**(-14)/(t*t**6))/(t**(1/3)*t)**(-2/185) assuming t is positive.
t**(-11647/555)
Simplify (i**1*i)/i**3*((i/(i/(i**(-6)*i)))/i*i)/(i/((i**(-4)*i)/i)) assuming i is positive.
i**(-11)
Simplify (i**(-1/27)*i*i**(-2)/i*i*i)**(-40/7) assuming i is positive.
i**(40/189)
Simplify (((d**(2/21)*d*d*d)/(d*d*(d**5*d)/d))**(-20))**50 assuming d is positive.
d**(82000/21)
Simplify ((y/(y*y**(10/9)))/y*y*y*y**(-6))**(1/20) assuming y is positive.
y**(-11/36)
Simplify ((o**(-1)/o**7)/(o/o**(-1/3))**(-3))**44 assuming o is positive.
o**(-176)
Simplify v**11/v**(-4)*(v*v**(-1/2)*v)/v**(-7) assuming v is positive.
v**(47/2)
Simplify (j/j**(-9))**2/((j**(3/10)*j*j)/(j*j*j**10/j*j*j)) assuming j is positive.
j**(307/10)
Simplify y*(y*y/y**(8/5)*y*y)/y*y**(-15)/y*((y*y**(1/18)*y)/y)/(y*y**(-9)) assuming y is positive.
y**(-409/90)
Simplify ((m**(-7)*m)/(m**(-2/7)*m))/(m/(m/m**3*m))**19 assuming m is positive.
m**(-313/7)
Simplify (k*k/(k/(k/k**(-1)*k)))**(-41)/(k*k**1)**(-28) assuming k is positive.
k**(-108)
Simplify (c*c/((c*c/(c*c*c**11/c*c))/c)*c*c)**23*(c**(-20))**1 assuming c is positive.
c**348
Simplify t**31*t*t/(t/t**(4/15))*t**(2/13)/(t**8/t) assuming t is positive.
t**(4957/195)
Simplify (r**(-2)/(r/((r/((r*r/(r*r*r/(r*((r*r*r*((r*r**(-2/7)*r)/r)/r*r*r)/r*r)/r))*r)/r*r))/r)*r))/(r**(-2/61)*r*r**(3/5)) assuming r is positive.
r**(-21951/2135)
Simplify (v*v**0)**(3/10)/(v*v/(v/v**0)*v)**(2/21) assuming v is positive.
v**(23/210)
Simplify ((l/((l/(l/l**(2/9)))/l))/l)/l**16*(l*l**(2/25))/l**5 assuming l is positive.
l**(-4307/225)
Simplify (z*z**(-2/131)*z*z*(z**(1/7)/z*z)/z)/(z**(2/15)/z)**(-50) assuming z is positive.
z**(-113357/2751)
Simplify (((q/(q/q**(1/7)))/(q/(q*q*q*(q/(q*q*q*q**(-7)*q))/q)))/(q**(-1))**(-11))**(-6/7) assuming q is positive.
q**(246/49)
Simplify (k**(-5/2)/(k/((k**(-5)*k)/k*k*k))*(k**1/k)/(k/(k/k**(1/3))))**(-26) assuming k is positive.
k**(533/3)
Simplify (w/w**(2/11)*w**(-18/5))/(w**(2/3))**(-20/9) assuming w is positive.
w**(-1931/1485)
Simplify (((g**(-4)*g)/g)/g*g**(-3))/(g*g**(-5)*g*g**(-4)) assuming g is positive.
1/g
Simplify (o**(-2/3)/o)**22/((o/(o*o**(-16)))/o**(3/7)) assuming o is positive.
o**(-1097/21)
Simplify (u/(u**11/u))**(3/4)*u**30*u**(3/5) assuming u is positive.
u**(477/20)
Simplify ((d**(-3/7)/(d*d**9))**21)**(-15) assuming d is positive.
d**3285
Simplify (y*(y**(-2/19)*y)/y*y**(6/25))/((y**(1/14)/y)/(y**(-5/4)/y)) assuming y is positive.
y**(-2483/13300)
Simplify (b**(1/2)*b*b*b**(-27))/(b**(-20))**(-19/2) assuming b is positive.
b**(-429/2)
Simplify (((n/(n/(((n*n*n/(n/((n/(n/(n*n**(-3/11))))/n))*n*n)/n)/n)))/n)/n**(-4/3)*(n*n/(n/(n/n**1)))**(-1/11))**(4/25) assuming n is positive.
n**(52/165)
Simplify ((((w/w**(-4))/w)/w**(-2/13))**(-30))**(-2/7) assuming w is positive.
w**(3240/91)
Simplify ((l/(l*l/((l*(l**(-17)/l*l*l)/l)/l)))/((l*(l/l**3*l)/l)/l*l))**(3/14) assuming l is positive.
l**(-51/14)
Simplify ((t*t*t/((t/(t*t**(-3/8)*t))/t*t*t*t)*t*t)/(t*(t/(t/((t**(-2/7)/t)/t)*t))/t))/(t**(-1))**(-45) assuming t is positive.
t**(-2133/56)
Simplify ((p**(-2/11)*p**(1/2))/(p**(-1/3)/p)**(-7/6))**(-6/19) assuming p is positive.
p**(245/627)
Simplify q/(q/(q*((q*q**(-19)/q)/q)/q))*q*(q**(2/53)*q)/q*(q/(q*(q**(-1/6)*q)/q))/(q*q**(-7/8)) assuming q is positive.
q**(-24067/1272)
Simplify (y**(-6/11)/y**(1/4)*(y*y**(-8))/(y/(y*y**(1/3))*y))**38 assuming y is positive.
y**(-21223/66)
Simplify (u**(7/3)/u*u)**(5/3)*((u*u**(-26))/u)/u**(-7/6) assuming u is positive.
u**(-377/18)
Simplify d*d/d**(-2)*(d/(d*d**(1/8)))/d*(d**(-3/4)/d)**50 assuming d is positive.
d**(-677/8)
Simplify ((i*i**(3/14))/i)/(i/(((i/(i/(i/(i/(i/(i*i**24))))))/i)/i*i))*i*i**(-24/7)*i/(((i*i/i**(-9))/i)/i) assuming i is positive.
i**(-507/14)
Simplify (l*l**(-4/5)*l)/(l/(l*l**(-1)*l))*(l*l**(-1/14))/(l*l*((l*l*l/(l**(2/9)/l*l))/l)/l*l) assuming l is positive.
l**(-1039/630)
Simplify ((p**14*p)/(p*p**(-29)))/(p**29*p*p*p*p*p**(-1/6)*p) assuming p is positive.
p**(55/6)
Simplify (u**(1/3))**(-2)*(u/u**(-2/17)*u)**(-3/13) assuming u is positive.
u**(-766/663)
Simplify (n*n/(n/(n*(n/n**(-12))/n))*n**(2/3))/((((n*n**0)/n*n)/n*n*n*n)/n**(2/3)) assuming n is positive.
n**(37/3)
Simplify (x/x**(1/10))**(-37)*x**(5/4)*(x*x**(2/49)*x)/x assuming x is positive.
x**(-30389/980)
Simplify (z**(-28/3)*z**(13/2))/(z**(-2/19))**(-12) assuming z is positive.
z**(-467/114)
Simplify ((a**(-8)*a**(-5))/(a/((a/(a**(-4/3)*a))/a)*a**(2/5)))**(-50) assuming a is positive.
a**(2110/3)
Simplify (g**1*g*g*g*g/g**(3/4)*g*g/((g/g**(-8))/g)*g*g**(-7/4))**(-2) assuming g is positive.
g**5
Simplify ((l*l/l**(-4/13)*l)/(l/l**(-8)*l*l))/(((l*l**(-19))/l)/l**(-4/3)) assuming l is positive.
l**(389/39)
Simplify (q*q**(-1/14))/(q**(-14)*q)*q**(-2/3)/(q**9*q) assuming q is positive.
q**(137/42)
Simplify ((u*u**(3/5))/u)**(-1)/(u**(-12)*u*(u**(-14)/u)/u) assuming u is positive.
u**(132/5)
Simplify ((c/(c*((((c**23/c)/c*c)/c)/c)/c)*c)/c**(3/7))/(c**(-13)/c)**50 assuming c is positive.
c**(4771/7)
Simplify (z**(-20)/(z/(z*z*z/z**(-24)*z)))**17 assuming z is positive.
z**119
Simplify (n**(1/12))**28/((n/(n/(n*n/(n**(-17)/n)*n)))/(n**(2/7)/n)) assuming n is positive.
n**(-407/21)
Simplify (q**(-8)/q)/q**(-6/5)*(q**25/q)/q*q**(-4/21)*q assuming q is positive.
q**(1681/105)
Simplify v**8*v*v**(-1/2)*(v**2)**(-10/9) assuming v is positive.
v**(113/18)
Simplify (v*v*v**(-1/2)/v*v*v)**(2/153)*(v/(v**(-5)*v))/(v*((v/(v**25/v))/v*v)/v) assuming v is positive.
v**(4289/153)
Simplify (c**(-3))**5*(c*c/(c*c/c**38)*c)/(c/(c**(-18)*c*c)) assuming c is positive.
c**7
Simplify (w**(-7)/(w*w*w**(-16)*w))/((w/(w*w**(-2/17)))/(w*w*w**(3/5))) assuming w is positive.
w**(721/85)
Simplify (o/(o*o/o**(-4/9))*o*o/o**(-7/9))/((o/o*
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Calculate 5511 divided by -5511.
-1
4938 divided by 6
823
What is -285390 divided by 40770?
-7
What is -1 divided by 32586?
-1/32586
Divide 5 by 757027.
5/757027
What is -4 divided by -415998?
2/207999
194559 divided by 4
194559/4
-13876 divided by -6
6938/3
Calculate 593454 divided by -3.
-197818
Calculate 632416 divided by -1.
-632416
-240800 divided by -800
301
6535 divided by 8
6535/8
487880 divided by 5
97576
-24810 divided by 4962
-5
23100 divided by 1
23100
-25879 divided by -25879
1
Calculate -12 divided by -1184.
3/296
What is -5 divided by 77017?
-5/77017
What is 19094 divided by -192?
-9547/96
Divide -77729 by -77729.
1
302407 divided by 43201
7
What is -6968 divided by 536?
-13
Calculate -17960 divided by 48.
-2245/6
Calculate 4 divided by 37282.
2/18641
What is -110 divided by 22?
-5
Divide 66382 by -66382.
-1
What is -38716 divided by -44?
9679/11
What is -157930 divided by -78965?
2
Calculate -4048 divided by 2.
-2024
Calculate 3 divided by 559881.
1/186627
Calculate -770086 divided by 2.
-385043
Calculate 678860 divided by 96980.
7
Divide -5 by -453728.
5/453728
What is -3 divided by 1690?
-3/1690
What is -419251 divided by 1?
-419251
What is -1809090 divided by 30?
-60303
Divide 108642 by 2859.
38
41 divided by 145
41/145
Calculate 5934 divided by -231.
-1978/77
Calculate 633264 divided by 4.
158316
Divide -8320 by 2.
-4160
Calculate -95542 divided by 4154.
-23
Divide -14 by -3214.
7/1607
Divide 163322 by -1286.
-127
-4561 divided by 1
-4561
-486864 divided by 2254
-216
Calculate -43 divided by -127.
43/127
What is -884856 divided by 19236?
-46
29 divided by -8145
-29/8145
Calculate -3414369 divided by 49.
-69681
What is 2145590 divided by 429118?
5
-1026 divided by 154
-513/77
-543438 divided by 126
-4313
Calculate -1027236 divided by 294.
-3494
What is 535768 divided by -2?
-267884
What is -3 divided by 121918?
-3/121918
What is 519029 divided by 371?
1399
Divide 161 by 158.
161/158
What is -33764 divided by -23?
1468
Divide 361773 by 40197.
9
87390 divided by 6
14565
Calculate -318 divided by -582.
53/97
Divide 8 by 23325.
8/23325
Calculate 118254 divided by 6.
19709
7347076 divided by 4
1836769
Calculate -870625 divided by 625.
-1393
What is -45840 divided by -191?
240
Divide 70424 by -17606.
-4
242 divided by 1934
121/967
Divide -228752 by -34.
6728
-2488530 divided by -110
22623
What is 21 divided by -910?
-3/130
Calculate -50896 divided by -18.
25448/9
What is -9583 divided by -1369?
7
Divide -8970 by -2.
4485
0 divided by 181880
0
62491 divided by -5681
-11
What is -122 divided by -33?
122/33
177104 divided by -44276
-4
Calculate -44660 divided by 22.
-2030
Calculate -452793 divided by -150931.
3
What is -3731727 divided by 4?
-3731727/4
Calculate -2790219 divided by 6.
-930073/2
Divide 578358 by -4554.
-127
What is 3092 divided by 54?
1546/27
Divide 6439 by -34.
-6439/34
Divide 3603 by 1201.
3
Calculate -145440 divided by -6.
24240
-16868 divided by -8434
2
927610 divided by -3
-927610/3
-100940 divided by 2884
-35
5148 divided by -11
-468
Divide 18525 by -19.
-975
What is -3 divided by 28240?
-3/28240
Divide 179835 by 9465.
19
-58 divided by 47326
-29/23663
Divide -418 by 6.
-209/3
139440 divided by -1328
-105
What is -3 divided by -34293?
1/11431
-610 divided by 63
-610/63
11 divided by 873628
11/873628
Calculate -123728 divided by 2812.
-44
-920 divided by 16
-115/2
Calculate -56653 divided by -9.
56653/9
-5 divided by -17480
1/3496
Calculate 1070110 divided by 4.
535055/2
0 divided by 4563
0
20 divided by 10216
5/2554
Calculate 40698 divided by -6.
-6783
What is 15898 divided by -6?
-7949/3
Calculate -1804 divided by -2561.
1804/2561
Divide 149380 by -14.
-10670
What is -2 divided by -1044?
1/522
Calculate -68194 divided by -4.
34097/2
Divide 195916 by 28.
6997
Calculate 81 divided by 54.
3/2
What is -85044 divided by 228?
-373
Calculate -5400 divided by -1080.
5
Calculate -5 divided by -3761.
5/3761
Calculate 4476 divided by -82.
-2238/41
Calculate -5 divided by -12916.
5/12916
What is -99940 divided by -6?
49970/3
493762 divided by -11
-493762/11
What is -735852 divided by 2?
-367926
-20 divided by 11541
-20/11541
Calculate -3412464 divided by 6.
-568744
47 divided by 7868
47/7868
-3160 divided by -158
20
Calculate -5 divided by 199196.
-5/199196
What is 3543812 divided by 885953?
4
475837 divided by -475837
-1
Calculate 1009 divided by 39.
1009/39
-1945 divided by 1006
-1945/1006
Calculate -12922 divided by 12922.
-1
Divide 365 by -50.
-73/10
Divide -10378 by -10378.
1
-1326840 divided by -6
221140
-72780 divided by -15
4852
Divide -97825 by -2.
97825/2
Calculate 7 divided by -1570.
-7/1570
Calculate 53528 divided by 13382.
4
Divide 248216 by 2.
124108
12 divided by 3631
12/3631
1 divided by 37293
1/37293
Divide 1036755 by 45.
23039
What is 199980 divided by -3333?
-60
What is 1083 divided by 7?
1083/7
Calculate -3385 divided by -38.
3385/38
Calculate -406527 divided by 33.
-12319
What is 18 divided by 1062?
1/59
What is 402682 divided by 2?
201341
88056 divided by 2
44028
1 divided by 225202
1/225202
Divide 4 by -23059.
-4/23059
Divide -3637767 by 1212589.
-3
-22746 divided by -3
7582
Divide 23 by -67400.
-23/67400
Calculate -4 divided by 25983.
-4/25983
Divide 515295 by 9369.
55
1490400 divided by -1725
-864
Calculate -15 divided by 14846.
-15/14846
Divide 341 by -233.
-341/233
-37770 divided by 2
-18885
Divide 6625 by 5.
1325
Calculate -7305 divided by 1.
-7305
What is 2604 divided by 12?
217
Divide 0 by 11073.
0
Calculate 749 divided by -17.
-749/17
What is -470288 divided by 56?
-8398
149 divided by 1399
149/1399
1106180 divided by -95
-11644
Calculate 0 divided by -35633.
0
Divide 5528 by 5.
5528/5
Calculate -2469907 divided by -2.
2469907/2
Divide -26900 by -269.
100
Calculate 45600 divided by -3040.
-15
What is -5493212 divided by -4?
1373303
Divide -184725 by -61575.
3
What is -123921 divided by -7?
17703
What is 72666 divided by 18?
4037
Divide -1401 by -5.
1401/5
Divide 25552 by 13.
25552/13
Calculate -62365 divided by 5.
-12473
Divide 93 by -12640.
-93/12640
Calculate 74430 divided by 14886.
5
Divide -42050 by -25.
1682
What is 2250560 divided by 4?
562640
Calculate -5 divided by -105683.
5/105683
Divide 1295528 by 13.
99656
1081 divided by 100
1081/100
Divide -3946 by -174.
1973/87
Divide -4106921 by 13.
-315917
-10493 divided by 10
-10493/10
What is 1926144 divided by 13376?
144
What is -1061 divided by -70?
1061/70
Divide -338082 by 3.
-112694
Divide 4532 by 29.
4532/29
Divide 35974 by 61.
35974/61
Calculate -14195 divided by 61.
-14195/61
What is 0 divided by 8793?
0
What is 1219266 divided by -337?
-3618
Calculate 10100 divided by 5.
2020
-812174 divided by 29
-28006
Divide -56176 by 28088.
-2
-4 divided by -718
2/359
Divide -48887 by 2573.
-19
-35 divided by 733
-35/733
What is 18 divided by 6583?
18/6583
What is 120211 divided by -91?
-1321
17 divided by 88522
17/88522
-1439955 divided by 287991
-5
Calculate 9288 divided by 27.
344
Calculate 2466396 divided by -3.
-822132
182 divided by -618
-91/309
Calculate 0 divided by -5901.
0
-3057074 divided by -2
1528537
Calculate -13 divided by 1088.
-13/1088
Calculate -22203 divided by -7401.
3
What is 0 divided by 208979?
0
Calculate -265820 divided by 66455.
-4
Divide -1540439 by -3659.
421
-821178 divided by -410589
2
-23 divided by 7033
-23/7033
Calculate -2 divided by 37646.
-1/18823
-771 divided by -9
257/3
Divide 2860947 by 23.
124389
What is -18506 divided by -487?
38
331506 divided by -2
-165753
Calculate -3566160 divided by -79248.
45
What is -42256 divided by -19?
2224
-68 divided by 1345
-68/1345
Calculate 46122 divided by -7.
-46122/7
Calculate -992450 divided by -1.
992450
What is -226819 divided by 226819?
-1
-600 divided by -4824
25/201
2 divided by -20601
-2/20601
Divide -5 by 229683.
-5/229683
What is -14246 divided by 838?
-17
Calculate -15 divided by 53828.
-15/53828
-135105 divided by 45035
-3
14124 divided by 3531
4
What is 8 divided by -7162?
-4/3581
What is -37888 divided by 1024?
-37
What is -1 divided by -70079?
1/70079
-2 divided by 1203172
-1/601586
Calculate -411522 divided by -214.
1923
Calculate 58531 divided by 6.
58531/6
Divide 0 by 473248.
0
What is -11 divided by -3035?
11/3035
Calculate 14 divided by -2989.
|
{
"pile_set_name": "DM Mathematics"
}
|
s the nearest to 1 in z, g, -0.4?
g
Let i = 2 - 3. Let z = -245.32115 - -0.02115. Let m = z - -245. What is the nearest to 0.1 in 4, m, i?
m
Let h = 13836 - 15965. Which is the nearest to 1? (a) -2/5 (b) -2/3 (c) h
a
Let l be (-10)/(-675)*-3*(-159)/14. Let i = l + -6/35. Let f = 3 + -2.96. What is the nearest to f in i, 1/4, -0.1?
-0.1
Let u be -12*-6*(-3)/(-120). Let f = 1.905 + -2.005. Which is the closest to u? (a) f (b) -0.4 (c) -4
a
Let t = -1.0892 + 1.2892. Which is the closest to -769? (a) t (b) -0.2 (c) 2/15 (d) 3/8
b
Let t = 776.41 + -3.41. Let g = t - 869.4. Let j = g + 96. Which is the nearest to -1/3? (a) j (b) 0 (c) 3
a
Let z = 37.32 - 39. Let u = z + 1.38. Which is the closest to 1/3? (a) -3/5 (b) -4 (c) u
c
Let d = 747/10 + -36/5. Let j = -66 + d. Which is the closest to -15? (a) j (b) -1/6 (c) 5
b
Suppose 2*p - 3*p = -2*p. Let h(m) = -41*m + 6. Let x be h(p). Which is the closest to 1/3? (a) -1/5 (b) 0.1 (c) x
b
Let y = -194 + 191. Let n(q) = -7*q - 13. Let j(z) = -z - 1. Let r(v) = -6*j(v) + n(v). Let l be r(y). Which is the nearest to 1? (a) l (b) 4 (c) -5
b
Let z = 5 - -40. Let d = z + -35. Suppose -13*a + d - 23 = 0. What is the nearest to a in -0.5, 5, -0.2?
-0.5
Let s = -143.454 + 0.054. Let u = -143 - s. Let m = -0.03 - -4.03. Which is the closest to 0? (a) m (b) 45 (c) u
c
Let k(r) = -r**3 + 20*r**2 + 3*r - 58. Let a be k(20). Let s(j) = 23*j - 231. Let p be s(10). What is the closest to -1 in a, 1/3, -0.4, p?
p
Let o = -283 + 80.1. Let j = -203 - o. Let x = 6 + -5. Which is the closest to x? (a) j (b) 1 (c) -1/5
b
Let y = -56 + 278/5. Let s = -1.442 + -1.558. Which is the closest to y? (a) -2 (b) -4/5 (c) s
b
Let q = 11.354 - 11.554. What is the nearest to q in -4, -0.5, 5, -3.2?
-0.5
Let v be (29/(-261))/(16/(-38)) - (-1)/9. Which is the closest to -0.1? (a) -15 (b) -0.8 (c) v
c
Let f = 2.995 - 3.295. What is the nearest to -2/9 in -4/9, 12, -2/7, f?
-2/7
Let l = 25106/5 + -5021. Suppose 0*m + 3*p = m + 13, -3*m + 5 = 2*p. Let q = m - -5. Which is the closest to 0.1? (a) q (b) -5 (c) l
c
Let i = -216761/7 + 30914. Let o = -52 - i. What is the nearest to -0.1 in 4, 6, o?
o
Suppose 2*n - 4*t - 32 = 7*n, n - 2*t - 2 = 0. Let o be 3/(-2 + (-62)/n). Let i = -1974.8 + 1975. Which is the closest to 1? (a) -4/5 (b) i (c) o
c
Let k = 4504 + -4501. Let r = -106/115 - -12/23. What is the nearest to r in 2/13, k, -0.6, 0.2?
-0.6
Let d be (7 + -8)*2/(-12). Let z = 1/7779 + -15565/54453. What is the nearest to -1/5 in 4, z, 0, d?
z
Let o = -20176 - -20464. What is the nearest to 2/3 in -1, 3/7, 5, o?
3/7
Let u(t) = 5*t - 148. Let v be u(30). Let i be (120/28 - 1) + -3. Suppose f = -0 - 2. What is the nearest to f in v, i, -0.02?
-0.02
Let d = -8 + 8.3. Let x = 0.068 - 79.568. Let j = x - -79. Which is the closest to -0.07? (a) -4 (b) d (c) j
b
Let w = -191117/33 - -5791. Let y = -65/231 - w. Which is the closest to 2? (a) 5 (b) 6 (c) y
c
Suppose -4*p = -3*g - 68, -5*p = -257 + 247. Suppose -4*k + 8*k = -48. Let u be (k/10)/(g/50). Which is the closest to -1/4? (a) u (b) 2 (c) 1/2
c
Let o = 627 - 782.5. Let l = 155 + o. Let x = -3/37 - 10/333. What is the nearest to -1 in -5, l, x?
l
Let t = 3215 + -3215.1. Let n be 3 - (-2 + 4 - -6). Which is the closest to t? (a) n (b) 4/3 (c) 12
b
Suppose -175 = 54*z - 445. Let i(o) = -9*o + 47. Let s be i(z). Which is the nearest to -0.1? (a) s (b) -2/11 (c) -0.2 (d) -0.5
b
Suppose -365*j = -356*j - 5 - 13. What is the nearest to 0.2 in 5, 2/13, 0, j?
2/13
Let j be (2/(-15))/((-1)/5). Let t(d) = -16*d**2 - 64*d - 4. Let q be t(-4). Let z be (2 - 2)*(4 + -1 + q). What is the closest to z in 2, 1/2, j?
1/2
Let v = 23 + -26. Let h = 2241/4486 + 1/2243. Which is the nearest to h? (a) v (b) 7 (c) 1 (d) -5
c
Let n be ((-32)/6)/(12/18) + (-2337)/(-287). What is the closest to 0.03 in 0, 17, 3, n?
0
Let n(i) = i**2 + 11*i + 2. Let r be n(-11). Suppose -r*w - 14 = -4*h, 5*w + 3 = h - 5. Which is the nearest to 1? (a) w (b) 57 (c) 1
c
Suppose -2*y + 47 - 49 = 0. Let o = 3 - 3. Let g = 1306 + -1310. What is the closest to 1 in y, g, o?
o
Let t = -6 + 4. Suppose -25*m + 17*m = 48. Let j be 2*(m + (-136)/(-16)). What is the closest to t in 4, j, -3/4?
-3/4
Let s = 247/292 + -25621/7592. Let o = 28/13 + s. Let m(y) = -y + 1. Let l be m(2). What is the nearest to l in 2/3, -1/3, o?
o
Let f = 442 + -434. Let u be (15/20)/(63/f). What is the nearest to -1/27 in 2, -0.5, u, -0.2?
u
Let c = 18 - 78. Let n = c + 62. Let k be (16/50)/n*10/4. What is the nearest to -7 in k, 5, 1?
k
Let q = 0 + 0. Let g = q + -1. Let k = 1357 + -1356. Which is the closest to k? (a) g (b) -5 (c) 0.3
c
Suppose -26 - 29 - 5 = 12*n. What is the nearest to 1/3 in -4, n, -2/5?
-2/5
Let f be (30/11 + -3)*(-480)/(-720). Which is the nearest to 35? (a) -21/4 (b) 4 (c) f
b
Let w = 28566.05 - 28566. Let o = -22 - -175/8. Which is the nearest to 4/9? (a) 5 (b) o (c) w
c
Suppose -1647 = 19*h - 88*h + 8*h. Which is the closest to 6? (a) 2 (b) h (c) -0.2
a
Let n be 30/5*1/42. Let u = -19 - -12. Let p = u - -7.3. Which is the nearest to 0? (a) -3 (b) n (c) p
b
Suppose -3*y + 19 = 4*a, 2*y - 4*a + 2*a + 6 = 0. Let o = 26297 - 131487/5. What is the nearest to 0.04 in o, 0, y?
0
Let t be (-9)/15 + (-1876)/(-10). Let o be 408/t - 2/1. Let u = 11 - 11.5. Which is the closest to 0? (a) -1 (b) u (c) o
c
Let i = -0.11 - -4.11. Let s = 2276/5 + -455. What is the closest to -0.7 in i, -4, s?
s
Let a = -2853.4 + 2852.4. What is the closest to a in 0.1, -1/3, -3/37, 5?
-1/3
Let r = 203 - 207. Let l(v) = -v - 4. Let z be l(-8). Suppose -3*f = -z*d - 16, -2*d - d = -4*f + 12. Which is the nearest to r? (a) 3 (b) 3/7 (c) f
c
Let g = -7096 + 7096.014. Which is the nearest to 0? (a) 1/2 (b) 0.4 (c) g
c
Let v be 1/3 - 11/15. Let y = -220 - -229. Suppose -y*h - 35 = -2*h. Which is the nearest to v? (a) h (b) -1/3 (c) 4
b
Let f be (3 - (-32)/(-10))*-2. Let w = -153 - -61. Let m = 88 + w. Which is the nearest to -2? (a) f (b) m (c) -5
b
Let g = -4384 + 13154/3. Which is the closest to g? (a) -2 (b) 11 (c) -0.3 (d) 0.3
d
Let v = 194 - 220. Let i = 29 + v. Which is the nearest to -8? (a) i (b) -4 (c) 0.4
b
Let v = 3191.5 + -3191. Suppose 4*h + 2 = -6. What is the nearest to 27 in 4, v, h, -0.1?
4
Let m = 629 - 628.816. Let j = -0.284 + m. Which is the nearest to 1/3? (a) -3 (b) -5/4 (c) j (d) -2/7
c
Let k be ((-38)/10 + 4)/((-24)/120). What is the closest to 2/3 in -1309, k, -1/4?
-1/4
Let p = 102 + -101.86. Let i = 0.24 - p. Let h = 5 + -4.8. What is the nearest to -4 in 3, h, i?
i
Let u = 27/38 + -4/19. Let z = -1.049625 - -0.049625. Which is the closest to z? (a) -3 (b) 3 (c) u (d) -1/6
d
Let m be -6 + 1 + 12/14*7. Suppose 3*q + m = -2*q + 3*r, 7 = 5*q + r. Which is the closest to -0.2? (a) q (b) 2/3 (c) 5 (d) 0
d
Let x = 15.962 - 15.862. Which is the nearest to -0.2? (a) -2/17 (b) x (c) -0.0148 (d) 2
a
Let t be (-24)/(-20) + (-24)/30. Which is the nearest to 1? (a) -159 (b) t (c) 4 (d) 2
b
Let n be (-1)/(22/106) + (-474)/2607. Let d be (-6)/(-60)*n*0. Let p be -1*5*(-8)/10. Which is the closest to d? (a) -0.5 (b) p (c) 5
a
Let t = 1724 - 1727. What is the nearest to 1 in -0.3, 3, t, 2/11?
2/11
Let y = -4/415 + -49/83. Let s = 6 - 10. What is the closest to 1 in s, -1, y?
y
Let f = 0.8 - 1. Let c = -4.786 - -4.686. What is the nearest to f in c, -2/15, 0.3?
-2/15
Suppose 7*j + 1108 = 177. Let k = j - -132. What is the nearest to -0.1 in k, -2, -0.32?
-0.32
Let k = -452 - -457. Let u = 7 + -7.6. Let m = -155.8 + 156. What is the closest to m in 2, u, k?
u
Let q = -4.27 - -1.47. Let k = q - -4.8. Which is the closest to -2/7? (a) 0.4 (b) k (c) 0.1
c
Let y = -2.653 - 1.347. What is the closest to -4 in -5, -1, y, 2/113?
y
Let j be (-6 + 3)/(3/((-9)/3)). Which is the closest to -0.7? (a) 0.46 (b) j (c) 4
a
Let m be 60/(-80) + 100/(-14)*1/(-8). What is the closest to -3/5 in -0.6, 3, m, 0.3?
-0.6
Let v(j) = 2*j**2 + 9*j + 12. Let d be v(-4). Let l be (8/20)/(d/14). Let y = l + -87/110. Which is the nearest to -0.1? (a) y (b) 3 (c) 0
a
Let u = 2/3033 + -9103/6066. Let g(m) = m**2 - 6*m. Let o be g(6). What is the nearest to o in 49, u, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
= -n - 2, 2 = 4*n + 5*b + 1. List the prime factors of (-3)/6*12/n.
2, 3
Suppose 5*d - 14 = 3*l, 3*d - 22 = -d - 3*l. Suppose -r + 7 = -4*s - 7, -2*s - d = 0. Suppose -k + r = -1. List the prime factors of k.
7
Let h(a) = 2*a + 9. What are the prime factors of h(0)?
3
Let r be -5 - -5 - 5/(-1). Suppose -r*m - 10 = 5*y, y - 4*m = -m + 18. Suppose -2*z - 12 + 40 = y*n, 0 = z - 3*n - 14. List the prime factors of z.
2, 7
Let i(g) = 5*g**2 + 1. Let b be i(1). Let m = b + -1. List the prime factors of m.
5
Suppose -2*f - 6 = f, -4*w + 704 = -4*f. List the prime factors of w.
2, 3, 29
Let m = 3 - -1. Suppose -3*y - 24 = -d - d, -28 = -m*d + y. What are the prime factors of d?
2, 3
Let g be 3/(-2)*24/(-18). Suppose 2*r = -x + 47, -g*r - 3*x = -4*x - 49. List the prime factors of r.
2, 3
Let f(n) = 5*n**3 - 2*n**2 + 2*n - 1. Let z be f(1). Suppose 5*r + z*y - 21 = 0, 2*r - y = -3*y + 10. Let o = 4 + r. What are the prime factors of o?
5
Let r be (-4)/(12/10 + -1). List the prime factors of 4/(-10) - 128/r.
2, 3
Suppose -16*c = -15*c - 20. What are the prime factors of c?
2, 5
Let i(k) = -k**2 - k + 5. Let z be i(0). Suppose 3*v = -z*l - 339, v - 202 = 4*l + 59. What are the prime factors of (-8)/(-12)*l/(-4)?
11
Let c be (2 + -2)*1 - 1. Let v be -1 - -2*c/(-2). Let d = v - -11. List the prime factors of d.
11
Suppose -4*b = 2 + 2, -4*q = -b + 63. Let s be (-3)/(-2*(-6)/q). Suppose -s*j - 22 = -5*j + 2*m, 2*m = 0. List the prime factors of j.
2, 11
Let y(m) = -m**3 + 3*m**2 + 2*m. Let j be y(3). Suppose -i = -2*i + j. What are the prime factors of i?
2, 3
Let y(s) = s**2 - s + 1. Let z(b) = b**3 + 4*b**2 - 5*b + 2. Let q be z(-5). What are the prime factors of y(q)?
3
Suppose 4*g - 15 - 73 = 0. Suppose -5*d + 2*d + 9 = 0. Suppose d*p + 12 = 0, -2*c + 2*p = p - g. List the prime factors of c.
3
Suppose -30 = 3*g - 141. What are the prime factors of g?
37
List the prime factors of (22 - -2)*(-1 - -2).
2, 3
Let w(i) be the first derivative of -2*i + 2 + 1/4*i**4 + 7/2*i**2 + 7/3*i**3. What are the prime factors of w(-5)?
13
Suppose -15 = -4*y + 5. Suppose -5*k + 7 = 4*r - 1, 5*k + 10 = 5*r. List the prime factors of (0 + k)*-1 + y.
5
Let c(h) be the first derivative of -h**4/4 + h**3 + 2*h**2 + 4*h + 2. What are the prime factors of c(4)?
2
What are the prime factors of 926/6 - (7/3 - 3)?
5, 31
Let f(j) = 2*j + 3. Let s be f(-2). What are the prime factors of ((0 - -1)*-13)/s?
13
Suppose d = -1 + 3. Suppose 13 = h - 5*h - 5*k, d*k = h. List the prime factors of -2 + (-4)/h - -7.
7
What are the prime factors of 4176/45 + (-2 - -4)/10?
3, 31
Let l be ((-6)/(-3) - 4)*-2. Suppose 9 = -n + l*n. Suppose n*a - 14 = 28. List the prime factors of a.
2, 7
Let k(b) = -b**3 + 6*b**2 + 5*b - 4. Let m be k(7). What are the prime factors of 4/(-18) + (-130)/m?
7
Let z(i) = -i**2 + 11*i + 5. Let u(j) = -33*j**3 - j**2 - 2*j - 1. Let d be u(-1). Let o be (-1)/(-3)*d/1. What are the prime factors of z(o)?
5
Let q = -271 - -551. What are the prime factors of q?
2, 5, 7
Let y(o) = o**3 + 10*o**2 - 3*o - 8. Let x be y(-9). Suppose 0 = 6*n - 38 - x. What are the prime factors of n?
23
Suppose -5*a = -4*a + 6. Let v be (18/(-4))/(a/(-40)). Let p = -12 - v. List the prime factors of p.
2, 3
Suppose 9*i + 200 = 4*i. Let d = -29 - i. List the prime factors of d.
11
Let h(w) = w + 1. Let f(r) = -r**2 - 8*r - 3. Let d(l) = f(l) - 5*h(l). List the prime factors of d(-5).
2
Let a(s) = s**3 + 3*s**2 - 5*s + 1. Let o be a(-4). Suppose o*z = -0*z + 40. Suppose f + 2 = n, -2*n + 2*f = f - z. List the prime factors of n.
2, 3
Suppose 5*z = 3*r - 35, -5*z - 70 = -0*z + 4*r. Let l be (-16)/10*z/(-2). Let g = l - -18. List the prime factors of g.
2, 5
List the prime factors of (-2 - (171*-1 + -4)) + -3.
2, 5, 17
Let y be (-24)/(-10) - 2/5. Let a(x) = x**3 - 2*x + 3. Let r be a(3). Suppose -p - y*p = -r. List the prime factors of p.
2
Let d = -160 - -236. List the prime factors of d.
2, 19
Suppose 1 = 2*l + 73. Let v = l + 54. What are the prime factors of v?
2, 3
Let q(h) = -h**3 - 4*h**2 - 3*h + 4. What are the prime factors of q(-5)?
2, 11
Suppose 4*p + 1 = -q + 73, -q + 84 = -2*p. List the prime factors of q.
2, 5
Let v(k) = -k**2 - 8*k - 4. Let d(j) = -j - 4. Let o be d(3). Let f be v(o). Suppose -2*q + f*s + 10 = 0, 4*q = q + 3*s + 18. List the prime factors of q.
2
Let s be (1/(-2))/(3/306). Let u be s/(-2) - 4/8. Let y = u + -18. What are the prime factors of y?
7
Let o(b) = 4*b. Let r be o(3). Suppose 1 = z - r. What are the prime factors of z?
13
Suppose 11*j - 95 = 6*j. List the prime factors of j.
19
Let h = 30 + -19. Let r = h + -9. What are the prime factors of r?
2
Suppose -4*q - 14 = -2*l, -2*q = -6*l + 2*l + 4. Let v(m) = -22*m - 1. What are the prime factors of v(l)?
3, 7
Let a(c) = 5*c + 3. Suppose -s + 15 = 2*s. What are the prime factors of a(s)?
2, 7
Let z = 110 - 57. Let v = z + -27. Suppose 2*a + v = 4*a. What are the prime factors of a?
13
Suppose 0 = -2*x - 2*x + 120. List the prime factors of x.
2, 3, 5
Let u = 6 - 1. Suppose -3 - 2 = 5*n - u*w, -4*w + 16 = 0. Suppose -17 = -y - 2*y - 2*z, 25 = n*y + 4*z. What are the prime factors of y?
3
Let f = 3 - -126. List the prime factors of f.
3, 43
Let f = 1 - -3. Suppose 0 = f*k - 2*w - 8, -11 - 8 = -3*k - 5*w. Suppose -u - u = -5*h - 19, u - k*h = 11. What are the prime factors of u?
2
Suppose 5*c + 8 = -52. Let g = -7 - c. Suppose -3*v = -0*q + 3*q, -g*v = -4*q + 27. What are the prime factors of q?
3
Let r = -1 - -4. Suppose 0 = 2*g + 4*i - 14, r*i - 2*i + 46 = 4*g. List the prime factors of g.
11
Suppose -12 = -3*o - 3. Suppose -5*b + o*m = -3*b + 12, -m = -2. Let i = 1 - b. List the prime factors of i.
2
Let f be (1090/15)/(1/3). Suppose 3*k + f = 4*t, 3*k = -5*t + 158 + 101. List the prime factors of t.
53
Suppose 5*j + 3 + 1 = 4*c, -4 = -3*j - 4*c. Let x be 0/(1 - j/(-1)). Suppose 0 = -l + m + 11, 5 = l + m - x. List the prime factors of l.
2
Let o(n) = -12*n + 1. What are the prime factors of o(-1)?
13
Let j(u) = -u**2 - 2*u + 5. Let r be j(-3). Suppose 4*q - 3*n - 62 = r*q, -2*n = 8. What are the prime factors of q?
5
Suppose -2*p = -52 - 20. What are the prime factors of p?
2, 3
Let b be (-100)/15*(-12)/(-5). What are the prime factors of 2 - b*(3 - 2)?
2, 3
Let f(r) = r + 2 + r**2 - 5*r + 0*r**2 + r. List the prime factors of f(5).
2, 3
Suppose -2*v = -4*z + 134, -4*v - 82 = -2*z - 0*v. List the prime factors of z.
31
List the prime factors of 9/(-1)*(0 + -3).
3
Let u(s) = -s**2 - 17*s - 10. What are the prime factors of u(-12)?
2, 5
Let j = 232 + -136. Suppose -3*v = v - j. List the prime factors of v.
2, 3
Let q be 1/3*(8 - -1). Suppose q*h - 6*h - 90 = 0. Let r = -13 - h. List the prime factors of r.
17
Let h(j) = -j - 2. Let p be h(-4). Suppose 0 = -5*y + p*y. Suppose 4*i = -y*i + 24. List the prime factors of i.
2, 3
Suppose c + 2*c = 18. Let l(j) = j**3 - 5*j**2 - 6*j + 8. Let t be l(c). Suppose -q - t = -5*q. List the prime factors of q.
2
Let q be 125/4 + 1/(-4). Suppose -q - 9 = 4*s. List the prime factors of (1 - 1) + s/(-1).
2, 5
Let d(z) = -2*z**2 - 4 + 2*z**3 + 4*z**3 - z - 5*z**3. Suppose 0 = t - x - 5, -2*x + 3 = 3*t + x. What are the prime factors of d(t)?
2
Let o(y) = y**3 - 8*y**2 - 10. What are the prime factors of o(9)?
71
Let m(i) = 35*i**2 - i - 3. What are the prime factors of m(2)?
3, 5
Suppose -j + 27 = -3*n, -3*n + 7 = j + 28. Let p be 2/n + (-9)/(-4). Suppose -2*y - p*z = -5*z - 22, -4*y + 3*z + 32 = 0. List the prime factors of y.
5
Let o(v) = 2*v**3 + 3*v**2 - 3*v - 3. List the prime factors of o(3).
3, 23
Let j(l) = 6*l - 1. Suppose 0 = -k - 3*k + 12. What are the prime factors of j(k)?
17
Let q(a) be the second derivative of 0 + 5/12*a**4 - 1/2*a**2 + 1/6*a**3 - 1/20*a**5 - 2*a. List the prime factors of q(5).
2
Let i = -2 + 6. Suppose -28 - 24 = -i*b. Suppose 0 = -2*u + b - 1. List the prime factors of u.
2, 3
Suppose 3*h - 64 = 50. List the prime factors of h.
2, 19
Let d(y) be the first derivative of y**4/4 - 4*y**3/3 + 5*y + 2. Let n be d(4). Suppose z + n = 14. What are the prime factors of z?
3
Suppose y = -5*f + 28 + 25, 3*f = 5*y - 293. List the prime factors of y.
2, 29
Let a = -95 + 241. What are the prime factors of a?
2, 73
Suppose 0 = 4*r - 81 + 9. What are the p
|
{
"pile_set_name": "DM Mathematics"
}
|
oes 13 divide l?
True
Let k(d) = d**2 - 10*d - 51. Let r be k(-18). Suppose -3*s - 157 = 2*h + 181, 4*s = -5*h - r. Let m = -63 - s. Does 5 divide m?
False
Suppose -4 = 5*u + 16. Let o be 0/(4/16 + 5/u). Suppose o = -2*c + 258 - 46. Is c a multiple of 17?
False
Let a = -6405 - -7032. Does 22 divide a?
False
Suppose 36*a + 2*c = 41*a - 42835, -42850 = -5*a - c. Is a a multiple of 47?
False
Let c = -163 + 52. Suppose 0 = 3*l - 5*s + 526, -2*l + 5*s = -4*l - 309. Let m = c - l. Is 14 a factor of m?
True
Suppose -11 = -3*m - 4*i, 11*m - 5*i = 7*m + 25. Suppose -2*j = m*h - 2205, 972 + 312 = 3*h + 9*j. Is h a multiple of 34?
False
Suppose -4116*v + 2*j = -4117*v + 11446, 0 = v + 3*j - 11450. Does 266 divide v?
True
Suppose -6*n + 105 - 339 = 0. Let t = 42 + n. Suppose t*k = 5*i - 2*k - 1500, 3*i = -4*k + 879. Is 34 a factor of i?
False
Let x(f) = 4*f - 10. Let g be x(10). Let k be (-1 + 2)/(g - 29). Let z(j) = 58*j**3 + 2*j**2 - 1. Is z(k) a multiple of 12?
False
Let v(x) = -x**3 - 3*x**2 + 2*x + 638. Suppose 165*j = 162*j. Is 44 a factor of v(j)?
False
Suppose -m = -7 + 3. Suppose -540 = -50*p - 4*p. Suppose -2*w + 5*n + 96 = 0, -3*w + m*n + 147 = p. Is 17 a factor of w?
False
Let q(o) = o**3 - 26*o**2 - 70*o - 136. Does 19 divide q(32)?
False
Let x(g) = -4*g**2 - 4 + 73*g + 428*g**3 - 68*g + 2*g**2. Does 9 divide x(1)?
False
Let u be 3*-1*1219/(-159). Let t(a) = 3*a**2 - 69*a + 15. Is t(u) a multiple of 4?
False
Let c = 18808 + -12330. Is 10 a factor of c?
False
Let o(w) = -5*w + 2. Let h be o(10). Let b = h + 51. Suppose -4*s + 5*g = 28 - 368, b*s = g + 266. Does 30 divide s?
True
Is 7 a factor of 1239/(-252)*(-3 + 0) + (-3)/4?
True
Let u = 0 + 4. Let q = -26 + 26. Suppose -x = u*j - q*j - 157, 4*j + 3*x - 167 = 0. Is 35 a factor of j?
False
Suppose -515*g + 500*g = -189090. Is g a multiple of 90?
False
Let s be -23*(16 + 5 + -2). Is 37 a factor of (23/23)/((-1)/s)?
False
Let u be 24/4 - 14/((-112)/(-24)). Let c(q) = 54*q + 10. Let l(v) = 109*v + 20. Let n(z) = 7*c(z) - 3*l(z). Is 25 a factor of n(u)?
False
Let r be (4/2)/((4 - 8)/(-72)). Is 25 a factor of (-7 - (-40776)/r) + (-2)/3?
True
Let c = -1856 + 3901. Suppose 35*f = -c + 7505. Is 12 a factor of f?
True
Let j(h) = 5*h**2 - 26*h - 105. Let p be j(-11). Suppose -f = 4*b - 2355, -5*b + f + p + 2151 = 0. Is 84 a factor of b?
True
Let r = 514 + -507. Is 95 a factor of (-8)/28 - (-10936)/r?
False
Let b = 76 + -68. Suppose b*s - 5*t = 5*s + 1008, -2*s = -4*t - 672. Does 32 divide s?
False
Suppose 0 = -8*k + 29483 - 18075. Does 2 divide k?
True
Let i(s) = 4*s - 15 + 42 + 3*s - 9*s. Is i(6) even?
False
Let v(y) be the third derivative of 6*y**2 + 1/60*y**5 - 11/3*y**3 + 0*y + 1/6*y**4 + 0. Does 20 divide v(-15)?
False
Let s = -948 + 13124. Is s a multiple of 175?
False
Suppose -5*m - 137 = -3317. Does 15 divide m?
False
Suppose -2076 = -3*j - 4*t + 20800, -4*j = -4*t - 30464. Is 41 a factor of j?
False
Let g(c) = 416. Let k(s) = s + 139. Let r(t) = 6*g(t) - 17*k(t). Is r(-19) a multiple of 14?
False
Let h = -661 - -949. Let g = 1428 - 1424. Suppose -3*u = -4*l + h, -5*l + 2*u + 360 = g*u. Is 14 a factor of l?
False
Let w be (-4)/22 - (408/(-66))/1. Let a(h) = h**2 - 4*h - 12. Let t be a(w). Suppose j = -3*c + 236, t = 5*j - 6*c + c - 1140. Is 26 a factor of j?
False
Suppose d = 4*i - 305, -71 = -i + 3*d - 8*d. Suppose 7920 = 86*o - i*o. Is o a multiple of 99?
True
Let x(a) = 2*a**2 - 8*a + 54. Let b be x(13). Let n(g) = 3*g**2 - 33*g**3 + b + 2*g + 12*g**3 - 285. Does 32 divide n(-2)?
False
Let r = 19 - 13. Let o(k) = -8*k - 4. Let a be o(0). Is 17 a factor of (-2475)/(-22) + r/a?
False
Let s be -8 - 13/(65/(-50)). Let w = 11 - 5. Suppose w*i - s*i - 136 = 0. Does 17 divide i?
True
Suppose -14534 = 28*v - 329366. Is 84 a factor of v?
False
Let n = 33652 + -28196. Is 31 a factor of n?
True
Suppose -h = 8*h - 1197. Let c = 592 - h. Is c a multiple of 51?
True
Suppose 409 + 1194 = -7*l. Let h = 180 - l. Does 24 divide h?
False
Let q(p) = p**3 + 13*p**2 + 87*p - 44. Is q(13) a multiple of 27?
True
Let u(a) = 19*a**2 + 8*a**3 - 36 + 3*a**3 - 5*a**2 - 9*a - 10*a**3. Does 10 divide u(-12)?
True
Let w(x) = -487*x - 50. Let u be w(10). Let y be ((-3)/(-5))/(24/u). Let m = -102 - y. Is m even?
False
Suppose 4*o - 42 = 2*o. Suppose -j + y = o, -3*y + 9 = -6. Let l = 31 + j. Is 15 a factor of l?
True
Suppose -n + 889 = -8*n. Let x = -64 - n. Suppose -66*t = -x*t - 174. Does 10 divide t?
False
Suppose -2*g = -g - 5*p + 4, 3*g = -5*p + 48. Suppose 9*w + 132 = g*w. Is w a multiple of 6?
True
Let i = 151 - 139. Does 3 divide (-10 + (-51)/6)/((-2)/i)?
True
Is 90 a factor of (-2)/7 - 191232/(-168)?
False
Suppose -2*z - 2*l + 463 = 3*l, 2*l = -z + 231. Let i = z - 214. Is 8 a factor of i?
False
Let w(v) = 20*v**2 - 193*v - 79. Is w(20) a multiple of 12?
False
Let r = -57 + 60. Suppose 8*t - 30 = r*t. Is 13 a factor of t/(-18)*-1*309?
False
Let k(x) = -2*x**2 - 3*x - 2. Let d be k(-2). Let n(q) = -q**3 - 19*q**2 + 2*q + 16. Let l be n(-19). Does 2 divide l/d + 2/(-4)?
False
Let y(t) = -324*t + 6700. Is 5 a factor of y(15)?
True
Suppose -3*z = -52 + 58. Let y be (-2586)/(-12)*z*-1*1. Let d = y - 281. Is 30 a factor of d?
True
Let z(o) = 3*o**2 + o - 8. Let i be z(6). Is 15 a factor of (5*15)/(i/424)?
True
Let v(b) = -b**3 - 6*b**2 - 10*b - 4. Let k be v(-3). Let r be (k/(-2))/(7/994). Suppose -5*g - 3*u = -210, -2*g + 13 + r = -2*u. Is g a multiple of 14?
True
Let u(k) = -490*k - 2. Let j be u(-4). Suppose 0*t = 2*c - 2*t - 20, 0 = 4*c - t - 34. Suppose -c*p + j = 3*p. Is p a multiple of 38?
False
Suppose -4*v + 36456 = 55*n - 59*n, v - 9090 = -2*n. Is 13 a factor of v?
False
Let n be (5 + -1)*458/8. Let x be (-7 + 3)/(68/(-51)). Suppose -n = -x*o + 200. Is o a multiple of 10?
False
Let l be 1/((-2)/(-14) + (-8)/(-42)). Is (16 + 66)/(l - 1) a multiple of 15?
False
Let c = 349 - 239. Let i(g) = -g - 9. Let d be i(-11). Suppose -3*w = -2*w - 2*z - c, 5*w - d*z = 582. Is 13 a factor of w?
False
Let r = 34 - 9. Is 26 a factor of (r + -425)*(-3)/((-12)/(-7))?
False
Suppose 83072 = -4*l + 3*u + 203963, -4*u = l - 30256. Is l a multiple of 229?
True
Suppose -44*b = -110*b + 44*b + 181192. Is 142 a factor of b?
True
Suppose -g + q = -161, g = -0*q - 4*q + 146. Suppose 6*l - g - 1300 = 0. Suppose -3*b = -4*z + l, -3*z + 4*b + 104 = -87. Is 27 a factor of z?
False
Let k be (-2)/(-3) - (-5 - (-121)/33). Suppose -k*x = 5*u - 685, 3*u + 7*x = 4*x + 420. Is 9 a factor of u?
True
Let j = 22390 - -1316. Is j a multiple of 34?
False
Suppose 2*v + 175 = v. Let h = 93 + v. Let k = -36 - h. Is k a multiple of 23?
True
Let b(k) = -14*k + 4. Let w be ((-12)/(-3) + -1)/1. Suppose 24 = -4*d + z - 5*z, d = -w*z + 4. Does 41 divide b(d)?
False
Let i = -31 + 36. Suppose -3*w = i*k - 375, -3*k + 241 = 4*w + w. Suppose x + 14 - k = -3*s, 4*s = -x + 76. Is 8 a factor of s?
False
Let o = 22596 + -13034. Does 18 divide o?
False
Let q(f) be the first derivative of 3*f**4/4 + 38*f**3/3 + f**2/2 + 8. Does 46 divide q(-12)?
True
Let y be (5243 + -1)/((-14)/7). Let l = y + 3743. Is l a multiple of 66?
True
Let m(n) = -n**2 + 12*n - 22. Let o be m(10). Let x(l) = -9*l + 14. Is x(o) a multiple of 4?
True
Let w(n) = n**2 - 13*n + 64. Let x be (24/(-6) - -5)/((-2)/(-26)). Is 32 a factor of w(x)?
True
Suppose 4*k - 17 = -1. Suppose -u + 36 = 3*u + k*j, -5*j = 15. Suppose 0 = -30*o + 33*o - u. Is 4 a factor of o?
True
Let g(m) = 4 + 11 - 15 + 9*m - 23 + 60*m**2. Does 17 divide g(3)?
True
Let t(g) = g**2 - g**2 + 1 + 8*g - 3*g**2 - 10*g - 255*g**3. Is 18 a factor of t(-1)?
False
Let j be -6*(-4 + 15/6). Suppose -4*i - h = -j - 9, 18 = 2*i + 5*h. Does 6 divide (0 + 2)/i*20?
False
Suppose 0 = -7*l + 16*l + 342. Let s = l + 42. Suppose s*z + 32 = 6*z. Is 4 a factor of z?
True
Is 4/42 - (1488/(-1512))/((-4)/(-3426)) even?
False
Let a be -3*((-272)/24 - -6). Is (-1 + -419)/((-16)/a) a multiple of 28?
True
Let h(f) = -17*f**2 + 5*f**3 + 17*f - 4*f**3 - 58 + 9*f - 7*f**2. Let y be h(24). Suppose 0 = 14*s - 974 - y. Is 10 a factor of s?
True
Let h = 13 - -5. Suppose -19*p + h*p = -36. Does 3 divide p?
True
Suppose -2*x - 4*w = -5*w - 39, 12 = 4*w. Suppose -x*r + 2160 = -5*r. Does 13 divide r?
False
Is ((-2212)/(-316))/((-1)/(-17 + 0)) even?
False
Is (68100/(-420)
|
{
"pile_set_name": "DM Mathematics"
}
|
, m, -0.2 in decreasing order.
1/2, m, -0.2, -23
Let m be 3/5 - 2/((-30)/(-39)). Suppose -2 = 2*x + 4*n, 0*x - 17 = 5*x - 2*n. Put m, x, 3 in ascending order.
x, m, 3
Let z(f) be the first derivative of -f**3/3 + 5*f**2 + 6*f + 8. Let m be z(10). Sort 3, 0, m in ascending order.
0, 3, m
Let h = -61 - -63. Suppose h*o + o - 9 = 0, -5*i = 2*o - 6. Put -2, -3, i in increasing order.
-3, -2, i
Suppose 3 = -5*c - 27, -13 = 5*n + 3*c. Suppose -5*b + 14 = d, 2*d - b + 8 = 3. Let h be -1*(-2 - -2)/d. Put n, 7, h in descending order.
7, n, h
Suppose v = 6*v + 10. Let i = -2 - v. Suppose d + q = -1, i*d - 13 = d - 5*q. Put 5, d, 0 in decreasing order.
5, 0, d
Let u = -210 - -211. Sort u, -1/4, -5.
-5, -1/4, u
Let m = -14 - -10. Suppose -19*y = 58 - 36 + 73. Put y, m, -3 in descending order.
-3, m, y
Suppose 0 = -5*g - 3*h + 5, -4*h + 4 = 4*g + h. Sort -16/9, 4, g in increasing order.
-16/9, g, 4
Let j be (-4 - 560/(-21))/((-4)/(-6)). Suppose 40*l - j*l - 36 = 0. Let k = -2 + 1.5. Sort -4, k, l.
-4, k, l
Let n(g) = 3*g**2 - 21*g + 26. Let r be n(5). Put 3/4, r, -16 in ascending order.
-16, r, 3/4
Let g(x) = 14*x + 4. Let y(b) = -b - 1. Let i(q) = g(q) + 5*y(q). Let n be i(1). Suppose -6 = n*s - 10*s. Sort s, -1, -4.
-4, -1, s
Let x = 79 + -69. Sort -5, x, 3 in increasing order.
-5, 3, x
Let n(x) = 5*x - 41. Let k be n(8). Let w be k/(6/30*(-5)/3). Suppose 0 = 2*m - g - 2, 4*m - 6*m + 4 = -2*g. Sort 0.8, w, m.
m, 0.8, w
Let z = -40.7 + 41. Let v(d) = -4*d**2 - 5*d**3 + 4*d**3 - d**2 + 1 + d. Let t be v(-5). Sort -5, z, t.
-5, t, z
Suppose x - 4*p = 19, 0*p + 8 = 4*x + p. Suppose -5*h - 5 = -n - 7*h, n - 15 = x*h. Suppose -4*o - n + 13 = 0. Sort 1/3, 0, o in descending order.
o, 1/3, 0
Let w(l) = 3*l - 2. Let i be w(-2). Let b(x) = 2*x**2 + 8*x - 9. Let q be b(-5). Sort i, q, 2 in ascending order.
i, q, 2
Suppose 2*p = -0*p + 2. Suppose -2*u - 2*i = -4, 0*u - 2*u = -2*i - 8. Let n be u + -3 - (0 - -5). Sort 4, p, n in descending order.
4, p, n
Let d = -15.9 + 3.9. Let l = -7 - d. Sort 3/4, -0.1, l, -0.5 in increasing order.
-0.5, -0.1, 3/4, l
Suppose 2*j = 3*n - 85, -4*j + 100 = 5*n + j. Let r = -25 + n. Sort -4, r, -1 in increasing order.
-4, -1, r
Suppose i + w - 4 = 0, 2*i - 3*w + 4*w - 9 = 0. Suppose 0 = 3*o + 4*n - 5*n - 56, 2*o - 54 = 4*n. Sort -1, i, o.
-1, i, o
Let c = 289 + -2018/7. Let y = 278 + -276.11. Let p = y + 0.11. Sort c, p, 3.
c, p, 3
Let k be (-98)/343 + (1 - (-178)/(-210)). Put -5, k, 2, 4/5 in ascending order.
-5, k, 4/5, 2
Let l = 48 + -54.2. Let c = l + 5.7. Put -0.3, 0.1, -2, c in descending order.
0.1, -0.3, c, -2
Suppose -t - 15 = -5*j + 2*t, 2*t + 10 = 4*j. Put j, 6, -3, -2 in decreasing order.
6, j, -2, -3
Let k = 0.073 - 0.048. Let w = k + 3.975. Put 1/12, 1/6, w in descending order.
w, 1/6, 1/12
Let y be (-5)/(-10 + 3 + 3*2). Suppose -28 = -5*w - 2*h, 0*w + h - 16 = -3*w. Let c = -1 - w. Sort c, 1, y in increasing order.
c, 1, y
Suppose -2*h - 2 = 2*z, -z = 2*h - 0 + 2. Let d = h + 6. Suppose 0 = -x + d*w - 15 + 5, 5*w + 5 = -2*x. Put 2, x, -11 in increasing order.
-11, x, 2
Suppose 5*d = -4*v + 53, 20 = 5*v + 2*d - 5*d. Sort v, 4/5, 6 in descending order.
v, 6, 4/5
Let q = 0.99 + -1.49. Let f = 0.97 - -0.03. Put f, q, 5, 2/25 in descending order.
5, f, 2/25, q
Suppose 0 = 3*i - 6 - 6. Suppose -s = -2*s + i. Let m be (4/1)/2 - -3. Put m, s, -5 in decreasing order.
m, s, -5
Let v = -8 - -7.7. Suppose -c + 4*b - 6 = -1, -15 = 3*c - 4*b. Let l be (-1519)/(-2058) - (-3)/(63/(-12)). Sort c, v, l in ascending order.
c, v, l
Let i(a) = a**2 - 2*a - 12. Let l be i(-3). Suppose -m + 2 = -3. Suppose -2*d = -q - 3, q = 3*q + m*d - 30. Sort q, l, -2 in decreasing order.
q, l, -2
Let o = 0.087 - 4.087. Put 2/23, o, -21 in increasing order.
-21, o, 2/23
Let m = 27.26 - 27.28. Sort 10, 2, m, 0 in increasing order.
m, 0, 2, 10
Let p = 217 - 216.9. Sort -3, p, 14 in descending order.
14, p, -3
Let z = -0.022 + -40.978. Let g = z + 44. Sort 2/7, 0.3, g, -3/5 in increasing order.
-3/5, 2/7, 0.3, g
Let n = -249/182 - -17/14. Let x = -9 + 9.7. Let k = x + -1. Sort n, -1/3, k in ascending order.
-1/3, k, n
Suppose 93 = -5*l - 4*i, -5*i - 3 - 3 = l. Let m = l - -16. Let p be m/(1/((-4)/(-4))). Sort 1, -2, p in decreasing order.
1, -2, p
Suppose 58 = -10*c + 108. Sort c, 11, 7 in ascending order.
c, 7, 11
Suppose -5*r + r + 2*n = -348, r = -4*n + 96. Let i = r + -90. Sort 22, -4, -5, i in ascending order.
-5, -4, i, 22
Let o = -2591 - -2594. Put -1/5, 4, o, -1 in decreasing order.
4, o, -1/5, -1
Suppose u = -3*c - 4, 8*c - 4*c + 2 = 2*u. Suppose 5*l + 3*o = 65, 25 = 5*o - 0*o. Put u, 5, l in descending order.
l, 5, u
Let s(v) = 8*v + 11. Let o be s(-2). Put 0.06, 5, o, -0.4 in decreasing order.
5, 0.06, -0.4, o
Suppose -30*z - 12 = -34*z. Suppose z*t - 6 = 3. Sort t, 1, 5, -1 in ascending order.
-1, 1, t, 5
Let q be ((-35)/56)/((-1)/(-2 + -2)). Sort q, 0, 40 in descending order.
40, 0, q
Let m = -1496/2485 + 1/497. Let o = -0.1 + 0.3. Sort -0.2, o, 4/7, m in descending order.
4/7, o, -0.2, m
Suppose 0 = -7*u - 143 + 122. Let l = -2 - -4. Suppose 2*q - 7 = -0*o + 3*o, -l*o = 10. Sort 5, q, u in decreasing order.
5, u, q
Let z(w) = -6*w + 34. Let i be z(4). Sort -2, i, 11 in ascending order.
-2, i, 11
Let z = 86 + -52. Let u = z - 32. Sort 1, -3, u in ascending order.
-3, 1, u
Let q(x) = 4*x**2 - 14*x + 3. Let k be q(3). Put -4, -5, -31, k in decreasing order.
k, -4, -5, -31
Let u(f) = -55*f**3 + 6*f - 17. Let g be u(2). Put g, -5, 5, 2 in descending order.
5, 2, -5, g
Suppose -3*f - 4*c + 22 = 0, 13 + 7 = 3*f + 5*c. Sort -5, f, -4, 3 in descending order.
f, 3, -4, -5
Suppose 0 = 2*z + 3*z. Suppose y + 22 = -5*v, 4*v = -0*y - 5*y - 5. Sort y, -4, z.
-4, z, y
Let q = -28.9656 - -0.0656. Let o = q - -9.9. Sort o, -2, -1/5 in descending order.
-1/5, -2, o
Suppose -423*m - 56 = -437*m. Sort -1/2, -4, -27, m.
-27, -4, -1/2, m
Let k be 1515/10*2/5. Let y = k + -60. Sort -1, y, -3 in descending order.
y, -1, -3
Let q(s) = -3*s**2 + 3*s. Let c be q(2). Suppose 3 = -16*y + 17*y. Put 2, y, c, 5 in decreasing order.
5, y, 2, c
Let p be 1*-1 - (-2 + 0). Suppose 15 = -s + 4*s. Suppose 0 + 15 = -s*j. Sort 6, p, j in decreasing order.
6, p, j
Suppose -4*m - 29 = 4*l + l, -7 = 2*l - 3*m. Suppose 4*i - 4*y = -20, 5*y = -4*i - 39 + 46. Sort -1, i, l in increasing order.
l, i, -1
Let y = 25/7 + -82/21. Let z = 2.2 + -0.2. Let x = -5 + z. Sort y, -1/2, x in descending order.
y, -1/2, x
Let r be (-16)/2 + -2*(-18)/9. Put 1, 6, r in descending order.
6, 1, r
Suppose 0 - 2 = -d. Let y be (10/(-25))/((-1)/5). Let c be 28/9 + (-1 - y). Put c, -4, d in decreasing order.
d, c, -4
Suppose -2*f + 3 = -1. Suppose 3 = f*c - 7. Sort 3, c, -2.
-2, 3, c
Let n(r) = 57*r**2 - 3*r - 7. Let d be n(-2). Let g = d - 229. Let t = 2 + -2.5. Put g, -1, t in ascending order.
g, -1, t
Let q = -28 + 26. Let f = 59 - 62. Sort q, f, 8, -1.
f, q, -1, 8
Let j be (-2)/(84/(-2979)) + -4. Let x = -133/2 + j. Let n = -19/28 + x. Sort -2, n, 0.
-2, n, 0
Let p(w) = w**3 + 12*w**2 + 31*w - 32. Let i be p(-6). Sort 7, i, 0, -7.
-7, i, 0, 7
Let a = 36 - 22. Suppose -i + a = -4*h, -2*i = -0*i - h - 7. Put -0.1, 0.4, i in increasing order.
-0.1, 0.4, i
Suppose -3*k + 18 = 3. Suppose 3*j = u - 2, j + 4*j + 26 = -4*u. Sort k, 3, u.
u, 3, k
Let v = 0.89 - 0.09. Let c = v - 0.1. Let w = -1.3 - c. Sort -3, 0, w in increasing order.
-3, w, 0
Let h(b) be the third derivative of -5*b**4/24 - 15*b**3/2 + 6*b**2. Let p be h(-9). Sort p, 1, -11.
-11, p, 1
Suppose 173*r + 198 = 162*r. Put 2, r, 7, -5 in descending order.
7, 2, -5, r
Suppose -115 = -5*s - 5*j, 5*j - 39 = 4*s - 113. Sort s, -4, -3 in descending order.
s, -3, -4
Let s(r) = -9*r**2 + 29*r - 51. Let w(y) = -5*y**2 + 15*y - 26. Let m(v) = -6*s(v) + 11*w(v). Let u be m(-11). Put 8, u, 4 in decreasing order.
8, 4, u
Let d = -0.19 - -0.59. Let l be -1 + 0 + 1/(-1). Put l, -3, d in ascending order.
-3, l, d
Let p be (2 - 0) + 2 + -3 + -1. Put 10, -1, p, -5 in decreasing order.
10, p, -1, -5
Let b = 179 - 176. Sort -9, b, 0 in increasing order.
-9, 0, b
Let i = -569/6 + 86. Let z = i + 22/3. Let y = 2/41 - -115/164. Sort z, y, -2.
-2, z, y
Suppose -4*q - 2*b - 20 = -4, -q + 5*b + 18 = 0. Let s be (6/(-81))/(q/6). Let m = 3 - 3.01. Sort m, 4, s in descending orde
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is 17 to the power of 1/4, to the nearest integer?
2
What is the square root of 35193 to the nearest integer?
188
What is the ninth root of 1580 to the nearest integer?
2
What is 1312 to the power of 1/2, to the nearest integer?
36
What is 17387 to the power of 1/2, to the nearest integer?
132
What is 1071 to the power of 1/3, to the nearest integer?
10
What is the square root of 235 to the nearest integer?
15
What is the seventh root of 34343 to the nearest integer?
4
What is the cube root of 646 to the nearest integer?
9
What is 1412 to the power of 1/3, to the nearest integer?
11
What is 8748 to the power of 1/2, to the nearest integer?
94
What is 23267 to the power of 1/2, to the nearest integer?
153
What is 395 to the power of 1/2, to the nearest integer?
20
What is 31899 to the power of 1/3, to the nearest integer?
32
What is 5872 to the power of 1/2, to the nearest integer?
77
What is 7758 to the power of 1/2, to the nearest integer?
88
What is the cube root of 27426 to the nearest integer?
30
What is 17398 to the power of 1/4, to the nearest integer?
11
What is the third root of 75539 to the nearest integer?
42
What is 15221 to the power of 1/2, to the nearest integer?
123
What is the fifth root of 2059 to the nearest integer?
5
What is 97832 to the power of 1/7, to the nearest integer?
5
What is 130953 to the power of 1/3, to the nearest integer?
51
What is 2780 to the power of 1/3, to the nearest integer?
14
What is 15393 to the power of 1/3, to the nearest integer?
25
What is the cube root of 30697 to the nearest integer?
31
What is 3656 to the power of 1/5, to the nearest integer?
5
What is the fifth root of 1534 to the nearest integer?
4
What is 133237 to the power of 1/2, to the nearest integer?
365
What is 1097 to the power of 1/10, to the nearest integer?
2
What is 52902 to the power of 1/8, to the nearest integer?
4
What is 590 to the power of 1/3, to the nearest integer?
8
What is 2895 to the power of 1/3, to the nearest integer?
14
What is the seventh root of 35589 to the nearest integer?
4
What is 14219 to the power of 1/6, to the nearest integer?
5
What is 2846 to the power of 1/6, to the nearest integer?
4
What is the fifth root of 5782 to the nearest integer?
6
What is 245 to the power of 1/7, to the nearest integer?
2
What is 43443 to the power of 1/4, to the nearest integer?
14
What is the cube root of 1751 to the nearest integer?
12
What is 18 to the power of 1/2, to the nearest integer?
4
What is the fourth root of 11094 to the nearest integer?
10
What is the square root of 2521 to the nearest integer?
50
What is the cube root of 19379 to the nearest integer?
27
What is the cube root of 1462 to the nearest integer?
11
What is the third root of 24321 to the nearest integer?
29
What is 856 to the power of 1/2, to the nearest integer?
29
What is the eighth root of 1341 to the nearest integer?
2
What is the third root of 20121 to the nearest integer?
27
What is the sixth root of 4247 to the nearest integer?
4
What is the square root of 1889 to the nearest integer?
43
What is 149836 to the power of 1/5, to the nearest integer?
11
What is the ninth root of 1549 to the nearest integer?
2
What is the square root of 230 to the nearest integer?
15
What is the seventh root of 1057 to the nearest integer?
3
What is 19685 to the power of 1/5, to the nearest integer?
7
What is 6278 to the power of 1/8, to the nearest integer?
3
What is 781 to the power of 1/2, to the nearest integer?
28
What is 163 to the power of 1/4, to the nearest integer?
4
What is 11355 to the power of 1/9, to the nearest integer?
3
What is the cube root of 33606 to the nearest integer?
32
What is 11601 to the power of 1/3, to the nearest integer?
23
What is 4316 to the power of 1/6, to the nearest integer?
4
What is 2700 to the power of 1/2, to the nearest integer?
52
What is 371 to the power of 1/9, to the nearest integer?
2
What is the cube root of 17313 to the nearest integer?
26
What is 105837 to the power of 1/4, to the nearest integer?
18
What is the square root of 851 to the nearest integer?
29
What is the cube root of 55191 to the nearest integer?
38
What is the square root of 7430 to the nearest integer?
86
What is the cube root of 12561 to the nearest integer?
23
What is the cube root of 46288 to the nearest integer?
36
What is the eighth root of 520 to the nearest integer?
2
What is 6149 to the power of 1/2, to the nearest integer?
78
What is the third root of 466 to the nearest integer?
8
What is the cube root of 1260 to the nearest integer?
11
What is the square root of 103785 to the nearest integer?
322
What is 1940 to the power of 1/3, to the nearest integer?
12
What is the square root of 65146 to the nearest integer?
255
What is 60971 to the power of 1/8, to the nearest integer?
4
What is the third root of 19646 to the nearest integer?
27
What is 507 to the power of 1/4, to the nearest integer?
5
What is 2376 to the power of 1/4, to the nearest integer?
7
What is the fifth root of 9124 to the nearest integer?
6
What is 7363 to the power of 1/6, to the nearest integer?
4
What is 1413 to the power of 1/3, to the nearest integer?
11
What is 25362 to the power of 1/7, to the nearest integer?
4
What is the seventh root of 6603 to the nearest integer?
4
What is the third root of 549 to the nearest integer?
8
What is 8103 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 660 to the nearest integer?
2
What is the third root of 34015 to the nearest integer?
32
What is the square root of 1952 to the nearest integer?
44
What is the square root of 1296 to the nearest integer?
36
What is the fourth root of 8508 to the nearest integer?
10
What is the square root of 1140 to the nearest integer?
34
What is 7925 to the power of 1/7, to the nearest integer?
4
What is 106952 to the power of 1/3, to the nearest integer?
47
What is 125647 to the power of 1/7, to the nearest integer?
5
What is 20610 to the power of 1/5, to the nearest integer?
7
What is 810 to the power of 1/3, to the nearest integer?
9
What is 10061 to the power of 1/10, to the nearest integer?
3
What is the third root of 7191 to the nearest integer?
19
What is the third root of 2746 to the nearest integer?
14
What is 31203 to the power of 1/3, to the nearest integer?
31
What is 26116 to the power of 1/2, to the nearest integer?
162
What is 1908 to the power of 1/2, to the nearest integer?
44
What is 8996 to the power of 1/3, to the nearest integer?
21
What is 12938 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 113340 to the nearest integer?
4
What is the fourth root of 8067 to the nearest integer?
9
What is 5471 to the power of 1/3, to the nearest integer?
18
What is the sixth root of 2533 to the nearest integer?
4
What is the third root of 8036 to the nearest integer?
20
What is 25864 to the power of 1/4, to the nearest integer?
13
What is the square root of 95486 to the nearest integer?
309
What is the tenth root of 33925 to the nearest integer?
3
What is 482 to the power of 1/3, to the nearest integer?
8
What is 33944 to the power of 1/2, to the nearest integer?
184
What is the square root of 6191 to the nearest integer?
79
What is 1418 to the power of 1/2, to the nearest integer?
38
What is the square root of 3338 to the nearest integer?
58
What is the cube root of 18646 to the nearest integer?
27
What is the cube root of 864 to the nearest integer?
10
What is 2799 to the power of 1/3, to the nearest integer?
14
What is the third root of 3768 to the nearest integer?
16
What is the fourth root of 20176 to the nearest integer?
12
What is 29867 to the power of 1/7, to the nearest integer?
4
What is 3475 to the power of 1/8, to the nearest integer?
3
What is 26892 to the power of 1/2, to the nearest integer?
164
What is the fifth root of 19246 to the nearest integer?
7
What is 220 to the power of 1/4, to the nearest integer?
4
What is the cube root of 105 to the nearest integer?
5
What is 4087 to the power of 1/7, to the nearest integer?
3
What is 1049 to the power of 1/7, to the nearest integer?
3
What is 73728 to the power of 1/4, to the nearest integer?
16
What is 2461 to the power of 1/2, to the nearest integer?
50
What is 841 to
|
{
"pile_set_name": "DM Mathematics"
}
|
t is -2*g(q) - 7*p(q)?
2*q**3 - 4*q**2 - q - 41
Let b(p) = p**2 + p - 1. Let g(y) be the second derivative of 5*y**4/12 + 2*y**3/3 - 15*y**2/2 + 2000*y. Determine 3*b(j) - g(j).
-2*j**2 - j + 12
Let w = -18 - -10. Let b be 4/2 + 56/w. Let i(f) = -2*f**2 + 2*f + 1. Let p(g) = -4*g**2 + 3*g + 1. Give b*i(u) + 3*p(u).
-2*u**2 - u - 2
Let f(z) = -35*z**3 + 13*z**2 - 4*z + 13. Let q(x) = 34078 + 2*x - 17044 - 17040 - 6*x**2 + 18*x**3. Give 6*f(o) + 13*q(o).
24*o**3 + 2*o
Let z(v) be the first derivative of v**3/3 + v**2/2 - 336. Let l(r) = -22*r**2 - 33*r. Calculate -l(s) - 33*z(s).
-11*s**2
Let f(t) = 1551*t + 4. Let b(g) = 517*g + 1. Determine 14*b(y) - 4*f(y).
1034*y - 2
Let f(x) = 7*x**2 + 5*x + 3. Let u(b) = b + 1. Let d be (3 + -11 + 2)/((-4)/8). Suppose 0 = -2*q + d - 8, 5*k - 2*q = 11. What is k*u(g) - f(g)?
-7*g**2 - 2*g
Let f(g) = 2*g**3 + 2*g**2 - 3*g - 2. Let m(w) = 25*w**3 + 23*w**2 - 33*w + 1105. What is -12*f(k) + m(k)?
k**3 - k**2 + 3*k + 1129
Let t(n) = 329*n + 8. Let i(c) = 410*c + 6. Let l(a) = 4*i(a) - 5*t(a). Let h(j) = j. Calculate -6*h(q) - l(q).
-q + 16
Let r = -594 + 356. Let u = -239 - r. Let g(i) = -i**3 + 3*i**2 - 4*i + 5. Let x(w) = -w**2 + w - 1. Calculate u*g(y) - 4*x(y).
y**3 + y**2 - 1
Let u(i) = -82*i**3 - 5*i**2 + 5. Let z(j) = -123*j**3 - 8*j**2 + 8. Suppose x = 3*n - 5, 6 = 3*x - 4*n + 26. What is x*u(k) + 5*z(k)?
41*k**3
Let g(o) = -6*o**2 + 2*o - 5. Suppose 29*a + 271 - 10 = 0. Let v(b) = b**3 + 9*b**2 - 4*b - 40. Let n be v(a). Let y(f) = f**2 - f + 1. Calculate n*y(w) - g(w).
2*w**2 + 2*w + 1
Let z(a) = -3*a**3 - 10 - 2*a - 17 + 7*a**3 - 10*a**3 + 17*a**2 + 20. Let v(j) = -3*j**3 + 8*j**2 - j - 3. Determine 7*v(x) - 3*z(x).
-3*x**3 + 5*x**2 - x
Let j(g) = 6*g. Let h = -2651 + 2649. Let d(k) = 3*k. Determine h*j(c) + 5*d(c).
3*c
Let h(r) = -1394*r + 28. Let x(t) = t + 14. Calculate -h(o) + 2*x(o).
1396*o
Let c(o) = 2*o**3 - 69*o**2 + 3*o + 3. Let h(i) = 5*i**3 - 208*i**2 + 9*i + 8. Calculate -8*c(j) + 3*h(j).
-j**3 - 72*j**2 + 3*j
Let m(g) = 32 - 88*g - 112 + 46. Let i(q) = 8*q + 3. Calculate -68*i(b) - 6*m(b).
-16*b
Let z(n) = 1130*n - 210. Let x(m) = -9*m + 2. What is 120*x(r) + z(r)?
50*r + 30
Let p(b) = 5*b - 32. Suppose -65*t - 2494 = -2169. Let y(i) = -9*i + 65. What is t*p(a) - 3*y(a)?
2*a - 35
Let o(i) = 13*i**3 + 177*i**2 - 5*i - 5. Let x(b) = -16*b**3 - 176*b**2 + 6*b + 6. Determine -6*o(u) - 5*x(u).
2*u**3 - 182*u**2
Let k(c) = -178*c - 302. Let m(r) = -8*r - 2. Give -2*k(t) + 44*m(t).
4*t + 516
Let v(q) = 34*q - 6. Let r(g) = -17*g + 3. Let n be (-4)/(-416)*13 + (-246)/48. What is n*r(s) - 2*v(s)?
17*s - 3
Let g(v) be the second derivative of v**4/12 + v**3/6 + 6129*v. Let r(p) = -5. Determine g(h) + r(h).
h**2 + h - 5
Let r(w) = -185*w - 1921. Let l(a) = 110*a + 961. What is -5*l(k) - 3*r(k)?
5*k + 958
Let d(w) = -4*w - 1. Let n = 5473 - 5470. Let i(f) be the second derivative of 0 - 35*f - 1/2*f**2 + 1/6*f**n. What is -d(a) - 2*i(a)?
2*a + 3
Let c(r) = 6*r - 6. Let w(u) = -7*u + 6. Suppose -198*a = -100*a - 101*a - 9. Determine a*w(h) - 4*c(h).
-3*h + 6
Let y(k) = 1. Let d(b) = -6*b. Let z(l) = l**3 + 19*l**2 + 82*l + 19. Let p be z(-6). What is p*y(u) - d(u)?
6*u - 5
Let s(i) = 2*i**3 - 6*i + 6. Let n(r) be the first derivative of -r**2/2 + r - 428. What is -24*n(f) + 4*s(f)?
8*f**3
Let c(z) = 3*z**2 + 1472969 - 1472966 - 5*z**2 + 13*z**3 + 3*z + z**2. Let f(r) = 13*r**3 - 2*r**2 + 4*r + 4. What is -4*c(u) + 3*f(u)?
-13*u**3 - 2*u**2
Let z(b) = -b - 4. Let r(j) = -3*j - 4. Calculate 4*r(c) - z(c).
-11*c - 12
Let q(c) = -c - 1. Let o(k) = 9*k + 10. Let l(y) be the third derivative of y**3/6 + 47*y**2. Let g = 17 + -16. Let v(t) = g*o(t) - 5*l(t). Give -5*q(u) - v(u).
-4*u
Let f(a) = a + 4. Let c(n) = 9*n + 33. Suppose -263 = -4*t + 165. Suppose -5*s = 4*o - 142, 3*o + 2*s = -2*s + t. Determine o*f(j) - 4*c(j).
-3*j
Suppose -3*o + 126 - 57 = 0. Let d(t) = -11 + o - 6*t - 3*t - 8. Let n(m) = 5*m - 2. Determine -4*d(f) - 7*n(f).
f - 2
Let b(h) = 14*h**2 + 7*h. Let f(l) = -3*l - 2*l + 0*l + 116141 - 116141 - 9*l**2. Let m = -8 + 13. Determine m*b(x) + 7*f(x).
7*x**2
Let a(j) = 18*j**3 - 2558*j**2 - 5. Let s(q) = -23*q**3 + 2560*q**2 + 6. Calculate 5*a(d) + 4*s(d).
-2*d**3 - 2550*d**2 - 1
Let i(n) = -729*n**3 + 14*n**2 - 170*n - 17. Let z(b) = -243*b**3 + 5*b**2 - 60*b - 6. Give -6*i(m) + 17*z(m).
243*m**3 + m**2
Suppose 0*p = p - 2*p. Suppose p = 3*n - 2 - 4, -3*g - 4*n + 23 = 0. Suppose 3*u = -2*u - g. Let f(d) = 4*d + 2. Let o(h) = h. Calculate u*f(t) + 6*o(t).
2*t - 2
Let z(t) = -100*t - 241. Let g(l) = 17*l - 1. Determine -6*g(p) - z(p).
-2*p + 247
Let c be 9 - (39/(-26) - (-11)/2). Let v(u) = -2*u. Let i be v(1). Let a(m) = -11*m**3 - 5*m - 5. Let p(k) = -5*k**3 - 2*k - 2. Give c*p(b) + i*a(b).
-3*b**3
Let g(b) = -b + 25. Suppose -4*o + 5*q - 52 = 0, 15*o + 3*q = 18*o + 33. Let u(m) = -m. Determine o*u(d) + g(d).
2*d + 25
Let x(k) be the third derivative of -k**4/6 + 7*k**3/6 + 11*k**2 - 17. Let v(m) = -5*m + 8. Determine -3*v(j) + 4*x(j).
-j + 4
Let b(q) = 8*q**3 + 7*q**2 + 4*q - 3. Let a(m) = -7*m**3 - 4*m**2 - 6*m + 3. Determine -2*a(g) - 3*b(g).
-10*g**3 - 13*g**2 + 3
Let f(s) be the third derivative of s**5/12 - s**4/24 + 4*s**2 - 43*s. Let g(r) = -10*r**2 + 2*r. Give -5*f(c) - 2*g(c).
-5*c**2 + c
Let g(o) = o. Let w(u) = 6*u**2 - 12*u + 14. Let f(h) = -44*h**2 + 83*h - 105. Let m(j) = -2*f(j) - 15*w(j). Determine 84*g(t) - 6*m(t).
12*t**2
Let d(p) = -1044*p**2 + 64*p - 16. Let g(a) = 209*a**2 - 12*a + 3. Determine 3*d(i) + 16*g(i).
212*i**2
Let i(s) = -1895 + 3*s + 947 + 952 + 3*s**2 - s. Let x(n) = -10*n**2 - 6*n - 11. Determine 11*i(r) + 4*x(r).
-7*r**2 - 2*r
Let u(f) be the first derivative of -15*f**4/4 + 9*f**2 + 4572. Let n(b) = 8*b**3 - 9*b. Calculate -11*n(h) - 6*u(h).
2*h**3 - 9*h
Let h be (-6)/36*-4*(-405)/(-54). Let i(l) = -4*l + 26. Let f(s) = -2*s + 13. What is h*f(j) - 3*i(j)?
2*j - 13
Let x(p) = -p + 7. Let a(n) = 3040*n + 42. Determine -a(y) + 6*x(y).
-3046*y
Let z(b) = -4*b**2 + 5*b - 5. Let m(o) = o**3 - 169*o**2 + 6954*o + 395. Let n be m(98). Let y(p) = -5*p**2 + 3*p - 3 + 0*p + 3*p**2. Calculate n*z(k) - 5*y(k).
-2*k**2
Let q(j) = 605*j**2 - 24*j. Let h(v) = -5445*v**2 + 220*v. What is 6*h(x) + 55*q(x)?
605*x**2
Let j(a) = -3*a + 27. Let t(m) = 12*m - 298. Calculate -6*j(g) - t(g).
6*g + 136
Let n(c) = 8 - 2*c + 3*c - 7. Let z(g) = -4*g**2 + 4*g + 4. Suppose 0 = 32*k + 169 - 201. Give k*z(f) - 4*n(f).
-4*f**2
Let g(i) = 7*i + 2. Let s = -1 + 1. Let b(o) = s*o + 0 - 6*o - 2. Suppose 98*v + 108*v - 1030 = 0. Calculate v*g(p) + 6*b(p).
-p - 2
Let b(v) = -6*v**2 + 5*v + 1. Let q(w) = -17*w**2 + 14*w + 2. Let a = -5050 - -5058. What is a*b(u) - 3*q(u)?
3*u**2 - 2*u + 2
Let l(t) be the second derivative of 2*t**3/3 + 15*t**2/2 - 3768*t. Let u(y) = -3*y - 16. Determine -4*l(x) - 6*u(x).
2*x + 36
Let o(g) = 6*g - 9. Let h be o(2). Let i(n) = 14*n - h + 3 - 6*n - n. Let v(q) = -7*q + 1. What is 3*i(y) + 2*v(y)?
7*y + 2
Let g(l) = -6*l - 11. Suppose 0 = -27*x - 10 - 2 - 69. Let h(n) = -3*n - 5. What is x*g(j) + 7*h(j)?
-3*j - 2
Suppose -9 - 53 = -20*x - 22. Let f(h) = h**2 - 1. Let n(w) = 4*w**2 - 3. Give x*n(z) - 6*f(z).
2*z**2
Let g(z) = -9068*z + 22. Let r(w) = 27203*w - 58. Determine -8*g(p) - 3*r(p).
-9065*p - 2
Let y(n) = 20*n - 761. Let w be y(38). Let s(j) = -j + 1. Let l(b) = 108*b - 135. Determine w*l(g) - 135*s(g).
27*g
Let n(r) = -2*r**3 + 2*r**2 + 2*r. Let s(w) = -10*w**3 + 15*w**2 - 45*w. Calculate -8*n(x) + s(x).
6*x**3 - x**2 - 61*x
Let g(s) = -31. Let h(a) be the second derivative of -17*a**2/2 - 3*a - 6. Let f(u) = 6*g(u) - 11*h(u). Let t(k) = 2*k**2 + 2*k - 5. Give f(b) + t(b).
2*b**2 + 2*b - 4
Let i(n) = -n - 126. Let u(v) = -4*v + 1427. What is 6*i(k) + u(k)?
-10*k + 671
Let h(y) = -8*y**2 - 7*y - 7. Let j(g) be the first derivative of -74 - g - 1/2*g**2 - 1/3*g**3. Give 3*h(a) - 21*j(a).
-3*a**2
Suppose -y + 1 = x + 9, 4 = 3*x - 4*y. Let m(p) = -14*p - 3 - p + 10*p + 3*p. Let c be m(-3). Let d(q) = 7*q. Let n(i) = 8*i. Calculate c*n(u) + x*d(u).
-4*u
Let m(q) = -3*q**3 + q**2 + q. Suppose 9*p = -127 + 46. Let s(z) = 12*z**3 - 4*z**2 - 5*z. Give p*m(v) - 2*s(v).
3*v**3 - v**2 + v
Let t(u) = -11*u**2 + 196. Let k(p) = -20*p**2 + 390. Determine 4*k(g) -
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of i?
2
What is the tens digit of (-10 + (-261)/(-27))*-3729?
4
Let f = 64 - 57. Suppose t + 2*n + 1 = f*n, 3*n = 15. What is the tens digit of t?
2
Suppose i + 5*d - 604 = 0, -492 - 72 = -i + 3*d. What is the tens digit of i?
7
Let x(b) be the first derivative of 21*b**2/2 - 11*b - 28. What is the tens digit of x(5)?
9
Suppose 5*a = -1069 - 106. Let t = -166 - a. What is the units digit of t?
9
Let d = 2295 - 1227. What is the hundreds digit of d?
0
Let s be (-2)/(-4)*(-2 - -10). Let g(q) = q**3 - 5*q**2 + 2*q - 1. Let i be g(s). What is the units digit of ((-6)/i)/(2/3)?
1
Let t(a) = 28*a**2 + 2*a - 2. Let g be t(5). Suppose 6 = -4*q + 2*c + g, 3*c + 15 = 0. What is the units digit of q?
3
Let c(u) be the third derivative of -u**6/120 + u**5/5 - 5*u**4/12 - u**3/3 + 4*u**2. Let y be c(11). Suppose 0 = -2*a + 23 + y. What is the tens digit of a?
1
Let z be -2 + (-2 - -6) - 0. Suppose z*l - 7*l = -15. Suppose 0*a + a = 2*t + 28, -2*a = -l*t - 53. What is the tens digit of a?
2
Let h(i) = 4*i**2 - 3*i + 1. Let k = 17 - 16. Let m be h(k). Suppose -27 = z - m*z. What is the units digit of z?
7
Let h = 879 + -646. What is the units digit of h?
3
Let y = -8 - -13. Suppose -18*u = -y*u - 299. What is the units digit of u?
3
Let h(c) = c + 981. What is the hundreds digit of h(-78)?
9
Suppose 3*x = -z + 485 + 2392, -11492 = -4*z + 4*x. What is the hundreds digit of z?
8
Let m be 2/8*-2*-66. Suppose 5*w + m = l, -4*w = -4*l - 13 + 113. Suppose x - k = -5 + l, 0 = 4*x + 3*k - 72. What is the units digit of x?
8
Let z be 39/6 - (-6)/(-4). Let j = z + -3. What is the units digit of -16*(-2)/4 - j?
6
Suppose 5*j + 53 = 393. Let z = 140 - j. What is the tens digit of z?
7
Suppose -2*d - 3*d + 20 = 0. Suppose 0 = -d*g - g + 260. What is the units digit of g?
2
Let b = 19 - 21. Let m be (15/(-10))/(1/b). Suppose -4*a + 219 = 4*d + 47, d = -m*a + 39. What is the tens digit of d?
4
Let p be 124/4*1 + -3. Let s = 59 - 41. Let l = p - s. What is the tens digit of l?
1
Let i = 62 + -23. Let c be 234/(-15) + -1 + (-2)/5. Let g = i + c. What is the tens digit of g?
2
Suppose -2*a + 5*q + 4 = 25, -3*a - 19 = -5*q. What is the units digit of a?
2
Let i = 589 + -407. Suppose -g + 290 = 4*t, g - 34 = 2*t - i. What is the tens digit of t?
7
Suppose 21*z = 13*z + 2184. What is the hundreds digit of z?
2
Let d = 202 - 104. What is the units digit of d?
8
What is the units digit of (1/(-6)*-14)/(4/1344)?
4
Let f(r) = 15*r - 35. Let v = 31 + -25. What is the units digit of f(v)?
5
Suppose -2*n = -31*n + 3364. What is the tens digit of n?
1
Let g(w) = w**2 - 10*w + 77. What is the tens digit of g(0)?
7
Suppose 4*i + 5*w - 18 = 0, 6*w - w + 17 = i. Suppose -6 = 5*q - i*q. Let n(j) = 2*j - 4. What is the units digit of n(q)?
2
Let y = 786 - -16. What is the hundreds digit of y?
8
Let b = 3294 + -1951. What is the hundreds digit of b?
3
Let r(k) = k**2 + 8*k + 11. Let v be r(-6). Let b be 7*(v - (-260)/28). What is the tens digit of (1 - -3)*b/8?
2
Let c = -11 - -14. Suppose -c*j = -6*j + 600. What is the units digit of j?
0
Let j = 107 + -70. Suppose -3*d + 169 - j = 0. What is the tens digit of d?
4
Let r(j) = 5*j**2 + 2*j + 6. Let s be (-3)/(37/20 + -2). Let i be 5/s - 13/4. What is the units digit of r(i)?
5
Suppose -17*a = -19*a - 6. What is the tens digit of 172/(-12)*a + 4?
4
Suppose -2*u - 9 = 5*x, u + 0*x + 2*x + 3 = 0. What is the units digit of 24*(12/u)/4?
4
Let j = -383 + 588. What is the units digit of j?
5
Let j be 766/8 - (-6)/(-8). Let r be j/7 + 9/21. Let c = 38 - r. What is the units digit of c?
4
Suppose 0 = -2*d + 2*k + 780, 4*d - 4*k = 9*d - 1986. What is the units digit of d?
4
Suppose -66*d + 67*d = s + 972, -977 = -d + 2*s. What is the units digit of d?
7
Let h(i) = 304*i**2 - 3*i - 3. Let u be h(-1). Suppose -73 + u = 3*r. What is the units digit of r?
7
Suppose -628*t + 635*t - 2555 = 0. What is the hundreds digit of t?
3
Suppose -5*r - 20 = -0*r. Let j = r - -4. What is the tens digit of 59 + j/1 + 1?
6
Let y(g) = g**3 + 2*g**2 + 4*g + 3. Let i be y(-1). Suppose -n + 463 = 5*a - i*n, -451 = -5*a + 3*n. What is the tens digit of a?
9
Suppose -3*j = -11*c + 14*c - 3273, -2*j - 2166 = -2*c. What is the hundreds digit of c?
0
Suppose 8*c - 425 = -4*h + 5*c, 2*h - 4*c - 240 = 0. What is the units digit of h?
0
Let m = 2040 - 1360. What is the tens digit of m?
8
Let a(o) be the first derivative of -o**3/3 + 2*o + 2. Let t be a(0). What is the units digit of (-10)/(-4) - (-1)/t?
3
Let v = 288 + -78. What is the hundreds digit of v?
2
Let a = -61 + 107. Suppose -78 = -49*p + a*p. What is the units digit of p?
6
Let r(o) = o**3 - o**2 - o + 1. Let j(i) = 7*i**3 + 10*i**2 - 11*i + 23. Let l(u) = -j(u) + 6*r(u). What is the tens digit of l(-17)?
8
Let p = 128 - 1. What is the units digit of p?
7
What is the hundreds digit of ((-193032)/(-70))/4 - (-2)/(-5)?
6
Let g be ((-2)/(-5) - 0)/(34/4420). Suppose -2*n + 70 = -g. What is the tens digit of n?
6
Suppose 0 = -18*t + 20*t - 854. Let x = -243 + t. What is the tens digit of x?
8
What is the tens digit of (-8 + (-19)/(-2))/((-3)/(-2312))?
5
Suppose -5*f - 19 - 71 = 0. Let n = f - -22. Suppose -5*q + n*q + 12 = 0. What is the units digit of q?
2
Let g(q) = q**3 - 8*q**2 + 13*q. Let a be g(6). What is the units digit of 4/(-6)*a*(-158)/8?
9
Let v = -1062 + 1602. What is the units digit of v?
0
Let m = 330 + -179. Let d = -97 + m. What is the units digit of d?
4
Suppose -12 = 16*j - 380. What is the units digit of j?
3
Let v(g) = 3*g**2 + 2*g - 10. Let i be v(-4). Suppose -2*s + s + 24 = -4*z, 2*z + i = 5*s. What is the units digit of s?
4
Suppose 2*l - 4218 = 4*z, -l + 2024 + 100 = z. What is the thousands digit of l?
2
Let z(f) = 4*f + 19. Let c be z(-4). Suppose -c*o + 285 + 18 = 0. What is the hundreds digit of o?
1
Suppose -4993 = -5*w + 4*o, -w = -3*w - o + 2005. What is the thousands digit of w?
1
Suppose 2*m + 11 = -3. Let x = 29 + m. What is the tens digit of x?
2
Suppose 2*l - 255 - 949 = 2*s, 0 = -5*l + 4*s + 3005. What is the hundreds digit of l?
5
Suppose -5*x + 160 = 4*p, 0*x + 3*x + 4*p = 96. Let i = x + -7. Let b = 22 + i. What is the units digit of b?
7
Let n(c) = 89*c + 3314. What is the hundreds digit of n(0)?
3
Let b(c) = c**2 + 19*c + 18. Let f be b(-18). Suppose 7*g - 3*g - 368 = f. What is the tens digit of g?
9
Let h be -2*(-3 - (-119)/2). Let k = 202 + h. What is the units digit of k?
9
Let p = 29 - 25. Let g(m) = 2*m**2 + 3*m + 3. Let j be g(p). Suppose y = j + 13. What is the tens digit of y?
6
Let f(j) = j**3 + 21*j**2 + 10*j - 6. What is the tens digit of f(-11)?
9
Suppose 0 = 4*t - 20, 4*s - 4684 = -2*t + 598. What is the hundreds digit of s?
3
Suppose -3*f + 6 + 33 = 3*c, -5*f - 3*c + 73 = 0. Suppose -f = -5*m + 18. Suppose -2*i - 105 = -m*i. What is the units digit of i?
1
Let i be (-1 + -1)*(2 + 21/(-6)). What is the units digit of i + 1*80 + -1?
2
Let j be 4 + (-6 - -3) - -2. Suppose 3*s - 2 = w, -6*s - j*w + 20 = -2*s. Suppose -l - v + s = 0, -l - 4 = -4*l - v. What is the units digit of l?
1
Let h = -35 - -85. Let a = -15 + h. What is the tens digit of a?
3
Suppose 3*z - 15*n + 13*n - 791 = 0, n + 1048 = 4*z. What is the units digit of z?
1
Let f(j) = 84*j + 8. Let l be f(1). Let k = 77 + l. What is the tens digit of k?
6
Suppose 2*f - 24 = -3*z - 77, 0 = 2*z - 2. Let t = 83 - f. What is the tens digit of t?
1
Let l(q) = -4*q - 18. Let r be l(-13). Let g = r + -4. Suppose -4*t = -4*v - 72, 2*v + 3*v = 2*t - g. What is the tens digit of t?
2
Let x(j) = 11*j**2 + 2*j - 172. What is the thousands digit of x(16)?
2
Let p(t) = -t**3 + 10*t**2 - 14*t + 1. Let h(n) = n + 4. Suppose -15 = -5*d + 2*k, 2*k - 6*k = 0. Let g be h(d). What is the units digit of p(g)?
0
Suppose -4*x = -3*c - 6*x + 65, 5*c - 5*x - 75 = 0. Let k = 12 + c. Let t = -1 + k. What is the units digit of t?
0
Let o(i) = -2*i + 14. Let v be o(6). Suppose -g + 0*g = -3. Suppose -4*m + 54 + 28 = g*t, -v*m = 2*t - 40. What is the tens digit of m?
2
Let l(j) = 28*j + 6 - 27*j + 53*j. What is the tens digit of l(2)?
1
Let f(j) = j**2 + 9*j - 47. Let i = 15 - 1. What is the hundreds digit of f(i)?
2
Let j(v) = -3*v + 2. Let x be j(-10). Suppose 14*m - x = 13*m. What is the units digit of m?
2
Let q = 440 - 283. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
17). Suppose -30 = -2*h - 2*w, x*h + 2*h - w = 21. Solve 2*n = -2*d + h, -3*d = -0*n + 4*n - 20 for d.
4
Let q(u) = -u**2 - 20*u - 17. Let i be q(-19). Solve 0 = 5*g - i*b + 19, -g + 3*g - 3*b = -1 for g.
-5
Let f be (72/10)/(3/220). Let y = f - 509. Solve 2*i + 3*w - y = 0, 0 = -i - 2*w - w + 17 for i.
2
Let t(b) = -4*b - 153. Let y be t(-41). Solve 3*a - 5*i - y = 0, 0 = -5*a - 0*i + i - 11 for a.
-3
Suppose 56*t - 59*t = -5*q + 35, -5*t - 17 = 2*q. Solve 5*d = -s - q + 17, 0 = 2*d - 5*s - 16 for d.
3
Let g be (-21)/(-6)*(-360)/(-42). Let i(l) = 7*l**2 + 3 + 4*l**2 - 9*l**2 - g*l. Let a be i(15). Solve 0 = -0*q + 3*q - a*b - 15, -q = -3*b - 13 for q.
1
Let b(a) = 2*a**2 + 41*a + 213. Let k be b(-10). Solve 5*s = -v + 8, 24*v - 28*v - 14 = -k*s for v.
-2
Suppose u = 4*i - 20, -4*u + 8*u + 3*i = 34. Solve o + 3*o - 7 = -r, 23 = o - u*r for o.
3
Suppose -182*a - 150 = -1242. Solve -5*t + 4*y - 7 = -19, 0 = 4*t - 2*y - a for t.
0
Let l = -11972 - -11976. Solve -81*m + l = -2*h - 82*m, 4*h = 3*m + 2 for h.
-1
Let w = -1 - -10. Let u be (-12)/(-8)*(-11)/(-55)*20. Solve 4*h + u = -3*x + x, -5*h - w = x for x.
1
Let x = -939 + 943. Solve z - x*i + 17 = 0, -43 = -3*z - i - 42 for z.
-1
Suppose 5*o + 4*v + 614 = 10*o, -236 = -2*o + 4*v. Let p be ((o/30)/7)/(9/75). Solve -c - 2*x = 0, -5*c = -3*c + p*x + 1 for c.
2
Let z = -1052 + 1060. Solve -4*n - 9 = -q, 5*n + 0 = -2*q - z for n.
-2
Let x(f) = -176*f + 359. Let u be x(2). Solve 0 = 4*i + j - 8, -11*j + u*j = 5*i + 1 for i.
3
Let w be (-84)/(8 + 165/(-20)). Let b = w + -332. Solve 5*z = b*f + 15, -22 = 3*f - z - 8 for f.
-5
Suppose b - 6 = -l, 2*l - 8 = 3*b - 4*b. Solve -3*h = -3*s - 12, b*s + h + 1 = 5 for s.
0
Suppose -39*c + 29*c + 50 = 0. Suppose q + 3*w = -3 + 8, -c*q + 9 = -w. Solve -2*t + 12 = 2*d, 3*d + 4*t - 28 = -q*d for d.
4
Suppose 7*c = 12*c - 200. Suppose 5*s - 15 = 2*k, -3*k - 5*s + c = -0*s. Solve -l + 0 + 5 = k*q, -q - 25 = -5*l for q.
0
Suppose 5*n = -2*b + 5*b - 150, 5*n + 130 = -b. Let s = 21 + n. Let u = s + 13. Solve u*g - 2*g + 5 = 4*c, -3*c - 15 = 0 for g.
-5
Let o be (6/(-84))/((-18)/252). Solve -z = 5*d - 26 + o, -3*d - 4*z = -32 for d.
4
Let f(q) = -q**2 - 18*q - 17. Let g be f(-17). Suppose -4*v - 89 + 77 = g. Let w be (v - (0 + -39)) + (1 - 1). Solve 5*h - 2*h = 3*t, 4*t - w = -5*h for t.
4
Let u(o) = -o**2 + 13*o - 17. Let d be u(12). Let z be 0/(d/2 - (-6)/4). Suppose z = 3*m - 18 + 6. Solve -10 - 30 = 5*x - 5*g, 2*x = m*g - 24 for x.
-4
Let s = 11636 + -11636. Solve 4*l + 1 = -3*b, 13*l - 18*l + 5*b + 25 = s for l.
2
Let r(y) = y**3 + y**2 - 2*y + 5. Let t = -51 - -56. Suppose t*f + 5*h - 4 = -24, 5*f + 3*h = -12. Let s be r(f). Solve 5*g + 14 - 4 = 0, j = -g - s for j.
-3
Suppose 73*x - 80 = -84*x + 137*x. Solve 2*z + 4*a - 6 = x*z, 0 = -3*a + 12 for z.
5
Suppose -2*k + 1100 = 4*u, -5*k + 2*k + 831 = 3*u. Let i = -270 + u. Suppose -l + 6*l = 95. Solve i*r - 4*r - 5*y - l = 0, 0 = -4*r - 3*y - 25 for r.
-4
Let w(o) = 10*o - 50. Let v be w(14). Let y = 94 - v. Solve -2*b + y*q - q = 3, -15 = -4*b - q for b.
3
Suppose 39 = 78*c - 65*c. Let i = 0 + 2. Suppose c*j = j + i. Solve 0 = 3*n - 2*t + j - 7, n - 4*t = -8 for n.
4
Let c(u) = -2*u**3 + 7*u**2 + 18*u - 12. Let n be c(5). Let p be n + (1 - -2 - 3) - 1. Solve 6 = -p*i, 6 - 1 = l - 3*i for l.
-4
Let q be 815/326 + -2*(-9)/12. Solve -18 + 24 = -m - a, q*m + 6 = 2*a for m.
-3
Let t be 1 + (-2 - -5)/3. Let r = 15651 + -15647. Solve r*f + 5*y + 19 = 0, 17 = -t*f - 4*y - y for f.
-1
Suppose 2*f - 5 = -4*d + 35, 0 = -2*d + 18. Solve -14 = f*p + 3*n, p = 4*n + 20 - 5 for p.
-1
Suppose 0 = 745*w - 751*w + 36. Let j(m) be the second derivative of 5*m**3/6 - 13*m**2 + m. Let c be j(w). Solve 3*n + 3*s + 24 = 0, n + 17 = -0*s - c*s for n.
-5
Suppose r = -5*p - 2*r - 12, 3*r = 3*p - 12. Suppose p = -y + 19*y. Solve 5*v + 10 = 5*g, -4*g + 2 + y = -2*v for v.
-3
Suppose 2*a = 4*n + 16, 23*n - 2 = a + 26*n. Solve 143*j - 12 = -a*i + 139*j, -3*j = 2*i - 5 for i.
4
Suppose -7*y - 3*t - 5 = -2*y, 0 = y + 3*t + 13. Suppose 1 = y*c - 5. Let d be (-9 - -8)*1*-10. Solve -c*a - d = -3*l - 1, 5*a = l - 7 for l.
2
Suppose 29*d - 57 = 32*d. Let g be (10/(-4) - -2)/(d/114). Solve -6 = 3*r - 2*l + g*l, 0 = -3*r - 3*l for r.
-3
Let g(l) be the first derivative of 29*l**2/2 + 179*l + 102. Let d be g(-6). Solve 3*k - 2 = -i, -3*k - k = d*i + 12 for k.
2
Let w(y) = -6*y + 10. Let o be w(7). Let r be (12/o)/((-1)/8). Suppose 4 = -r*c + 10. Solve 2*z = c*f + 2, 8 = 5*z - 3*z for f.
3
Suppose 0 = -q - 100 - 502. Let i = q + 607. Solve 4 = -2*k + n + 2, 0 = -5*k - i*n - 20 for k.
-2
Let z = 222 - 227. Let w(p) be the third derivative of p**6/120 + p**5/12 - p**4/24 + 2*p**2. Let g be w(z). Solve -3*v - 4 = 4*n, -4*v + 7*v = g*n - 22 for n.
2
Suppose -m + 12 - 9 = 0, -5*t + 2*m + 19 = 0. Suppose -60 = -25*q + t*q. Solve 3*j - q*p + 9 = 0, -10 = -5*j - 2*p + 10 for j.
2
Suppose 0 = -62*d + 67*d - 3*j - 7, 4 = 4*j. Solve -d*p - u + 6*u = 22, 3*p + 4*u - 13 = 0 for p.
-1
Let c(j) = -j**3 - 15*j**2 - 18*j - 54. Let p be -4 + 68/(-8) - 21/14. Let r be c(p). Solve 0 = 4*k + r*z - 4*z - 4, 0 = k - 3*z - 1 for k.
1
Let q(v) = -3*v**2 - 36*v. Let h be q(-12). Suppose h = -w + k + 5, -13 = -5*w - 12*k + 11*k. Solve w*p + 3*y = -y - 2, -2*p - 2 = 3*y for p.
2
Let x = -238 - -246. Let f(g) = -g**3 + 8*g**2 + 6*g - 43. Let l be f(x). Solve -5*t + 21 = -4*n + 3*n, 0 = -4*t + l*n for t.
5
Let n be (0 - 2/(-7))*(-21 + 1078/44). Solve l - n = -2*i, 109*i - 113*i + 17 = 5*l for l.
5
Let y be 1/21 - (-1435)/735. Solve 3*s = -l + 9, -7*s + 3*s = -y*l - 22 for s.
4
Suppose 208 = 70*l - 62*l. Suppose -10 = 8*z - l. Solve 2*c = -5*o - 1, -z*c = -4*o + c + 13 for o.
1
Suppose -70*s + 50 + 510 = 0. Solve 2*r - a = a - s, a - 7 = -2*r for r.
1
Let w = 1032 + -1137. Suppose -3*h + 4*v - 410 = -53, -4*h + 2*v - 486 = 0. Let k = w - h. Solve 2*q - k = s + 4*s, -q - 2*s = 0 for q.
4
Let q(h) = -h**3 - 5*h**2 - 11*h - 8. Let p be q(-5). Suppose 26*j + 42 = p*j. Solve -2*d - j*t = -0*t + 12, 13 = -3*d + 2*t for d.
-5
Let x = -403 - -404. Let j(t) = -21*t + 24. Let u be j(x). Solve -3*k - u*n + 9 = 0, -k = -0*n - 2*n + 9 for k.
-1
Suppose 0 = -3*y + 2*t + 11, t = -5*y - 0*t + 14. Suppose y - 15 = 3*b. Let q be b + -1*(-3 - 1). Solve -7*d - 26 = -5*d + 5*v, q = 5*d + 2*v + 23 for d.
-3
Let w(t) = -15*t**2 + 44*t - 24. Let h be w(2). Solve -4*p - h = 5*y, -3*y = y + 4*p + 4 for y.
0
Suppose -37*n - 17*n + 144 = -18*n. Solve -5*b + f + 34 = 0, 20*f + 32 = n*b + 24*f for b.
7
Suppose -38*b - 13 = -203. Solve -b*a + 3*a + 9 = -5*i, 0 = 3*a + 2*i - 4 for a.
2
Suppose 0 = 18*g + 4495 - 4765. Solve 3*u + 55 - g = -5*k, 2*k + 10 = 0 for u.
-5
Let w be (-3 + 2)*(-3)/(-3). Let b be w*4 + (132/(-3))/4. Let a be ((-2)/2 - b) + (-12 - -13). Solve p = 3, 5*l + 5*p - 20 - a = 0 for l.
4
Suppose 4*i + 16 = -u, 17*i + 35 = 5*u + 14*i. Solve 3*j - 6*d - 28 = -10*d, -4*j + 32 = u*d for j.
4
Suppose -73 = 3*f - t - 77, -20 = 3*f + 5*t. Solve f = 2*r - 5*v + 23, -4*r - 3*v + 16 = -3 for r.
1
Let p = -41 + 344. Let a = p + -300. Suppose -3*y + 8 = y. Solve -2*n = -a*n - 5*d - y, -n + d = 2 for n.
-2
Let l = -18238 + 18243. Solve 4*w - l*x + 14 = -20, -2*x = 5*w - 7 for w.
-1
Let q(f) = -4*f**3 + 0 + 12*f**2 - 2*f - 10*f**2 + 3*f**3 + 2. Let x be q(0). Solve o + 6 = 3*p, 0 = -3*o - x*p + 4 - 0 for o.
0
Suppose -40 = -5*u - 108*i + 104*i, -4*i = 4*u - 36. Solve 6*p + 2*a + 1 = 5*p, -u*p - 3*a = -6 for p.
3
Let u(v) = -v + 27. Suppose 7*s - 4*s = 4*a - 14, -5*s + 20 = 2*a. Let f be u(s). Solve 0*h - 3 = h, -4*g - f = 3*h for g.
-4
Suppose -3*r + 16 + 2 = 4*i, r = -4*i + 14. Suppose -4*w = -2*p + 5*p - 17, -2*w = -i*p + 5. Solve -3*q - 1 = 4*m - 4, w*m - 1 = -q for q.
1
Suppose 25*w - 622 + 572 = 0. Let y(i) = i**3 + 7*i**2 - i - 5. Suppose -25 - 10 = 5*b. Let h be y(b). Solve 21 = h*s + 5*k, 2*s + 3*s + w*k - 21 = 0 for s.
3
Let n(r) = r + 18. Let c be n(-15). Suppose c*w + x - 41 - 6 = 0, 0 = -4*w - 4*x + 52. Solve 0 = -3*z - 2*j - 3*j + w, 0 = -4*z + j + 15 for z.
4
Suppose -5*b - 3*n + 6 = 3, -3*b + 2*n = 2. Suppose b = 4*a - 4*h - 8, -a + 3*h - 7 = -h. Solve 0 = -s + 2*d - a, 0*s + 5*d + 5 = -s for s.
-5
Let m(d) = 3*d**2 + 11*d - 4. Let s be m(-5). Let v be (-12)/10*(-120)/s. Suppose v*j - 4*j = 25. Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 12.
-340
What is 4436 (base 14) in base 8?
27040
-851 (base 10) to base 6
-3535
-10011001110 (base 2) to base 11
-a19
Convert -2640 (base 14) to base 2.
-1101001000000
Convert 12168 (base 9) to base 10.
8162
Convert -11021 (base 3) to base 4.
-1303
Convert 799 (base 16) to base 8.
3631
10663 (base 15) to base 11
36135
Convert -40011 (base 6) to base 11.
-399a
What is 3043 (base 10) in base 16?
be3
Convert 11315 (base 9) to base 10.
7547
-221 (base 15) to base 8
-741
Convert 529 (base 10) to base 5.
4104
8ce (base 15) to base 2
11111001010
Convert -655 (base 12) to base 9.
-1242
Convert -313301 (base 6) to base 4.
-12030211
What is 11341 (base 5) in base 13?
501
-50a (base 13) to base 4
-31113
Convert 533 (base 8) to base 13.
209
Convert -1bd2 (base 16) to base 6.
-52550
What is 346 (base 7) in base 9?
221
-e7 (base 16) to base 3
-22120
1246 (base 10) to base 7
3430
a003 (base 12) to base 16
4383
-1242 (base 10) to base 16
-4da
12205 (base 8) to base 14
1cb3
Convert -20412 (base 5) to base 14.
-6cd
18d8 (base 16) to base 2
1100011011000
What is 232332 (base 4) in base 8?
5676
What is -145 (base 10) in base 6?
-401
Convert -7137 (base 13) to base 3.
-210101120
2000121 (base 3) to base 13
895
1001001001111 (base 2) to base 12
2867
Convert 2054 (base 13) to base 4.
1011233
15514 (base 8) to base 6
52204
Convert -3021 (base 4) to base 11.
-173
-1010010101110 (base 2) to base 7
-21302
What is 1323 (base 6) in base 15?
179
What is 1102101 (base 3) in base 12?
724
What is -212020 (base 4) in base 13?
-1159
Convert a537 (base 12) to base 9.
26667
Convert 1352 (base 11) to base 6.
12035
21644 (base 14) to base 9
132761
-5208 (base 10) to base 6
-40040
Convert 587 (base 14) to base 15.
4d4
Convert -149 (base 13) to base 7.
-446
Convert 2b40 (base 12) to base 4.
1033200
Convert 36102 (base 8) to base 5.
443201
What is -8b6b (base 14) in base 7?
-130364
-8237 (base 9) to base 5
-143103
What is -120000 (base 3) in base 2?
-110010101
Convert -1221012 (base 4) to base 11.
-5065
Convert 5b4 (base 13) to base 8.
1740
713 (base 9) to base 8
1103
-5143 (base 6) to base 11
-94a
Convert 52242 (base 7) to base 13.
5ab1
403 (base 5) to base 13
7c
-ebf (base 16) to base 8
-7277
21210122 (base 3) to base 8
13067
-113303 (base 6) to base 15
-2da6
Convert -22132 (base 5) to base 16.
-606
Convert -1201001202 (base 3) to base 4.
-20030231
What is -b58 (base 15) in base 4?
-213332
Convert 4b77 (base 14) to base 13.
6043
What is 126016 (base 7) in base 15?
703a
What is -1131221 (base 4) in base 15?
-1b98
Convert 111000011 (base 2) to base 10.
451
Convert 364 (base 12) to base 7.
1324
Convert 10b (base 13) to base 2.
10110100
Convert 25033 (base 7) to base 14.
2553
Convert -10c03 (base 15) to base 2.
-1101000001010000
What is -6795 (base 10) in base 14?
-2695
Convert 2222122202 (base 3) to base 6.
1132115
Convert -301042 (base 5) to base 6.
-112030
-50756 (base 9) to base 14
-c275
What is 334023 (base 6) in base 3?
1102112120
Convert 1000000110111 (base 2) to base 3.
12200202
1484 (base 11) to base 13
b39
-5a7a (base 15) to base 4
-10230220
Convert -32eb (base 15) to base 9.
-15725
What is -39a8 (base 12) in base 4?
-1213100
Convert 874 (base 12) to base 15.
57a
Convert 40 (base 14) to base 9.
62
What is -6201 (base 7) in base 12?
-12b9
-3020 (base 16) to base 9
-17808
Convert 431 (base 6) to base 16.
a3
What is -12220011 (base 3) in base 10?
-4297
What is -2699 (base 11) in base 12?
-2034
What is -117144 (base 8) in base 11?
-28512
-1633 (base 12) to base 14
-d5d
Convert -ab2 (base 14) to base 7.
-6112
What is 114 (base 14) in base 10?
214
What is -1000001110 (base 2) in base 3?
-201111
Convert -142006 (base 7) to base 5.
-1331403
-26843 (base 9) to base 13
-8379
-334 (base 10) to base 16
-14e
What is 22231 (base 4) in base 16?
2ad
-44a14 (base 11) to base 2
-1111111001011001
Convert 30312 (base 6) to base 10.
4004
Convert 55276 (base 10) to base 15.
115a1
-9a19 (base 13) to base 7
-116432
Convert 10221022 (base 3) to base 6.
21142
What is 492 (base 13) in base 11?
663
-13341 (base 8) to base 14
-21c5
-94c (base 14) to base 2
-11100101000
21122120 (base 3) to base 5
134302
1433 (base 7) to base 15
278
-221c (base 13) to base 7
-16604
Convert -11011000011 (base 2) to base 4.
-123003
What is -71a2 (base 14) in base 8?
-46132
What is 1110100011010111 (base 2) in base 13?
21192
Convert 183d7 (base 14) to base 3.
10002212122
What is 2413022 (base 5) in base 7?
244334
What is -10212002 (base 3) in base 14?
-104a
-10e (base 16) to base 11
-226
Convert -113320 (base 6) to base 13.
-462c
-4234 (base 9) to base 14
-11c1
What is 1140421 (base 5) in base 15?
64e1
1b0a (base 12) to base 15
eb7
What is 265 (base 8) in base 10?
181
1303 (base 7) to base 5
3433
Convert -5445 (base 11) to base 6.
-53140
Convert -44301 (base 5) to base 7.
-11653
Convert -201121112 (base 3) to base 11.
-a818
What is 1436 (base 9) in base 11?
8a8
What is -120066 (base 7) in base 11?
-152a9
Convert -2146 (base 10) to base 4.
-201202
Convert -1331 (base 6) to base 2.
-101010111
Convert -103231 (base 5) to base 10.
-3566
What is 22202121 (base 3) in base 16?
18f4
Convert -6447 (base 13) to base 5.
-421132
29750 (base 11) to base 14
11519
50853 (base 9) to base 6
415033
Convert -9a (base 14) to base 5.
-1021
-3314 (base 5) to base 16
-1cb
Convert -3b (base 12) to base 3.
-1202
Convert 55565 (base 7) to base 3.
201012222
-24576 (base 8) to base 13
-4ab1
What is 7792 (base 13) in base 9?
24784
What is -798 (base 10) in base 15?
-383
1354 (base 7) to base 2
1000010001
What is 13530 (base 10) in base 15?
4020
What is -1118 (base 14) in base 13?
-146b
Convert -10132120 (base 4) to base 10.
-18328
-38753 (base 12) to base 13
-29130
Convert -2805 (base 11) to base 6.
-24455
-186 (base 10) to base 6
-510
668 (base 11) to base 6
3412
-524 (base 9) to base 15
-1d7
Convert -5cd9 (base 15) to base 4.
-10311003
What is 149 (base 13) in base 3?
22112
Convert -4112443 (base 5) to base 9.
-111345
What is -511 (base 10) in base 13?
-304
Convert -658 (base 12) to base 15.
-422
What is 407 (base 8) in base 15?
128
Convert -2432 (base 11) to base 15.
-e21
Convert 1230 (base 7) to base 12.
326
-4004 (base 9) to base 14
-10c8
15303 (base 7) to base 3
12212000
What is 13404 (base 6) in base 8?
4054
Convert 1011 (base 3) to base 12.
27
What is 1205a (base 11) in base 3?
212211021
Convert -224 (base 11) to base 2.
-100001100
Convert -13561 (base 7) to base 11.
-2880
-1230230 (base 6) to base 5
-4104221
What is 4233 (base 5) in base 4?
20320
What is -5063 (base 11) in base 15?
-1ed4
Convert -44052 (base 6) to base 3.
-22100012
-775 (base 12) to base 3
-1111122
What is -3235 (base 6) in base 4?
-23213
Convert -1102221 (base 3) to base 2.
-10000011011
What is 432c (base 14) in base 4?
2311110
What is 32110 (base 4) in base 5?
12131
What is 111370 (base 8) in base 5?
2200444
Convert 17d8 (base 14) to base 13.
1c63
Convert 39b (base 16) to base 8.
1633
Convert 20756 (base 8) to base 5.
234221
Convert -15422 (base 6) to base 10.
-2534
What is -258 (base 13) in base 12?
-2a3
Convert -5334 (base 7) to base 2.
-11101011111
What is 43355 (base 6) in base 8?
13527
Convert a19e (base 15) to base 6.
421552
What is -a35 (base 16) in base 12?
-1619
-a9 (base 16) to base 10
-169
What is 103313 (base 5) in base 13?
1828
244 (base 15) to base 10
514
Convert 36345 (base 9) to base 6.
304405
579b (base 13) to base 6
132532
Convert -10100110 (base 2) to base 3.
-20011
-1122202 (base 3) to base 15
-558
What is -406 (base 11) in base 7?
-1300
Convert -35 (base 12) to base 6.
-105
What is 32110 (base 9) in base 16?
52ef
6a3 (base 16) to base 7
4645
Convert -10000111110001 (base 2) to base 14.
-3249
Convert 22133 (base 4) to base 5.
10141
What is -11010000000001 (base 2) in base 6?
-141345
Convert b375 (base 12) to base 3.
222210022
Convert 12547 (base 9) to base 10.
8467
What is 20431 (base 5) in base 13?
811
20110222 (base 3) to base 7
16526
What is -5755 (base 12) in base 13?
-4562
What is 4122 (base 8) in base 2?
100001010010
Convert 6210 (base 7) to base 5.
32123
Convert 27109 (base 11) to base 9.
58112
What is -466 (base 15) in base 4?
-33210
-1001110111111 (base 2) to base 14
-1bb1
What is 6157 (base 9) in base 15?
1507
Convert 90c2 (base 13) to ba
|
{
"pile_set_name": "DM Mathematics"
}
|
p - 5*p + 4*p)*(5 - 3 + 0) + 0*p + 3*p + 0*p)*(1 - 2 + 0)*(3*p - 5*p + 4*p).
22*p**2
Expand 0*k**4 - 4*k**4 + 3*k**4 + (0 + 0 + 3)*(0 + 0 - k**4) + 29*k**2 - 15*k**4 - 29*k**2.
-19*k**4
Expand (1570 - 922*i - 1570)*(-1 - 1 + 1)*(1 - 2 + 0).
-922*i
Expand (2*j**3 + 4*j**3 - 4*j**3)*(-31 - 70 - 36 - 66).
-406*j**3
Expand (-i - i + 0*i)*(1 + 0 - 3)*(41*i**2 - 47*i**2 - 232*i**2).
-952*i**3
Expand (2*h**2 - 2*h**4 - 2*h**2)*((3 + 1 - 1)*(2*h - 1 + 1) + 6*h - h + 50*h).
-122*h**5
Expand (5*w + 0*w - 3*w)*(8 + 1 + 7) + (-5*w + 5*w + w)*(-1 - 2 + 4).
33*w
Expand (s**4 - 3*s**4 + 0*s**4)*(-82*s + 113*s - 288*s).
514*s**5
Expand (9*o**3 - 268 + 268)*(-5 - 2*o + 2 + 2)*(o + 2*o - 4*o).
18*o**5 + 9*o**4
Expand 0 + 0 - 4*v**2 + 36*v**2 - 180 + 180 + v**2 + 0*v**2 + 0*v**2 + (-2*v + 2 - 2)*(v + 4*v - 3*v).
29*v**2
Expand (1 + m - 1)*(-67 + 67 + 4*m) + (-6 + 1 + 4)*(0 - 4 + 2)*(-3*m**2 + 2*m**2 + 0*m**2).
2*m**2
Expand (s + 0*s - 2*s)*(12*s - 3*s**2 + 2*s - 10*s).
3*s**3 - 4*s**2
Expand (2*j**4 + 2 + 2*j**3 - 2*j**3 + (-7*j + 2*j - 3*j)*(-2*j**3 + 0*j**3 + 3*j**3))*(-4 + 10 + 6).
-72*j**4 + 24
Expand (4 + 3*q - 118*q - 5)*(2*q**2 + 0*q**2 - 4*q**2) + 8*q**3 + 5*q**3 - 6*q**3.
237*q**3 + 2*q**2
Expand -2*a + 1 - 1 + (2*a - 5*a + 0*a)*(3 + 3 - 4) + (4 + 0 + 2)*(12*a + 5*a - 2*a) + 5*a - a - 5*a.
81*a
Expand (2*n - 3 + 3)*(-1475 - 784 - 709 + 963).
-4010*n
Expand 0*z**2 - 2*z**2 + 16*z**2 + 2*z**2 - 3*z**2 + 0*z**2 + (4 + 2*z**2 - 4)*(4 + 1 - 3) + (3 + 4 - 3)*(-4 + 4 - 2*z**2).
9*z**2
Expand (-13 + 2*j**2 + 13)*(228*j**2 - 228*j**2 - 50*j**3).
-100*j**5
Expand (-5*f**2 + f**4 + 5*f**2)*((4 - 3 - 3)*(-5 + 5 + 1) + (-2 + 2 + 1)*(-32 - 4 - 13)).
-51*f**4
Expand (6*u - 2*u - 2*u)*((-176 + 97 + 140 + (-2 + 2 - 2)*(-3 + 1 + 1) + 1 - 4 + 1)*(5 - 4 - 3) + 0 + 1 + 2).
-238*u
Expand (95 - 20*r - 95)*(-2*r**3 + 0*r**3 + 0*r**3) + 9*r**4 - 86 + 86.
49*r**4
Expand (0*w - 27*w - 3*w)*(-2 + 2 + 6*w**2)*(1 - 2 + 3) + 0*w**3 + 0*w**3 - w**3.
-361*w**3
Expand (-2 - 2 + 6)*(-2 + 1 + 0)*(-3*b**5 + 2*b**5 - b**5 + (-2*b + 2*b - 2*b)*(3*b**3 - 3*b**3 + 4*b**4)).
20*b**5
Expand (2*h**2 + 2*h**2 - 2*h**2)*((3 - 3 - 2*h)*(-1 + 0 + 3) + 16*h + h + 9*h - h + 1 + 1 + 2*h).
46*h**3 + 4*h**2
Expand -4*q**4 - q**2 - 2*q**3 + 2*q**3 + 2*q**4 - 3*q**4 + 2*q**4 + (-2*q - 6*q + q)*(2*q**3 - 2*q**3 + 3*q**3).
-24*q**4 - q**2
Expand -228*n**3 + 15*n**5 + 228*n**3 + (-3*n**3 + n**3 + 0*n**3)*((-2*n + 0*n + n)*(2*n + 2 - 2) + 17*n**2 - 8*n**2 - 4*n**2).
9*n**5
Expand (0 - 2*h**2 + 0)*(-h + 2 - 2) + 15*h - 15*h - 20*h**3 + (0*h + h - 2*h)*(-3*h**2 + 0*h**2 + 2*h**2).
-17*h**3
Expand (2 - 1 + 0 + (5 - 3 + 0)*(-1 + 1 + 2) + 2 - 3 + 3 + 1 - 1 - 1)*(-11*l**3 - 19*l**3 + 5*l**3).
-150*l**3
Expand (-6*h + 6*h**2 - 2*h**2 + 1252*h**4 - 1250*h**4)*(4*h + 0 + 0).
8*h**5 + 16*h**3 - 24*h**2
Expand (3 - q - 3)*(-q + 3*q + 0*q) + 39*q**2 - 130*q**2 - 327*q**2 - 66*q**2.
-486*q**2
Expand (-6*r**3 + 11*r**3 + 31*r**3)*(0 + 0 + 3*r)*(1 - 2 + 2).
108*r**4
Expand (3 - 5 + 4)*(2*c + 0*c + c)*((2*c - 3*c + 3*c)*(1 - 3 + 1) + 21*c - 34*c - 5*c).
-120*c**2
Expand (1 + 2 - 25 - 23)*(-4*r + 3*r - r).
90*r
Expand (127 + 91*r - 127)*(4 + 3 - 5).
182*r
Expand (4*d + 2*d - 9*d - 15*d**3)*(-14*d + 18*d - 68*d - 58*d).
1830*d**4 + 366*d**2
Expand (12 - 22 + 10 + 5*a)*(-23*a - 25*a + 16*a).
-160*a**2
Expand (2 - 2 + 4*h)*(3 + 2 - 2) + 0*h + 0*h + 2*h + (-4 + 1 - 2)*(3*h - 5*h + 9*h).
-21*h
Expand (-v + 6*v + 8*v)*(8 + 7 - 2)*(4 - 3 + 1).
338*v
Expand ((50 - z**2 - 50)*(0 + 12*z**2 + 0) + 0*z**4 + z**4 + 0*z**4)*(z + 0*z + 2*z) + (-2*z**4 + 0*z**4 + 3*z**4)*(-1 + 1 - 2*z).
-35*z**5
Expand (4*y - 2*y**2 - 4*y)*(-2*y**2 + 2 - 2) + y**3 + y**4 - y**3 + 3*y + 0*y - 15*y**4 + 19*y**4 + 4*y**4 - 2*y**3 + 4*y**4 + 3*y**3.
17*y**4 + y**3 + 3*y
Expand (-f**2 - 9*f**2 - 4*f**2)*(25*f - 95 + 95)*(-2*f + 2*f - 2*f).
700*f**4
Expand (-2*w + w + 2*w)*((1 + 4 - 4)*(1 - 3 + 0) + ((-4 + 2 - 2)*(3 + 1 - 2) + 9 + 14 + 14)*(5 - 2 - 1)).
56*w
Expand 6*d**3 - 3*d**3 - 2*d**3 + (0*d + 3*d**2 + 0*d)*(d + 2*d + d) + (0*d + d - 2*d)*(527*d + 17*d**2 - 527*d).
-4*d**3
Expand (1 - 1 + 2)*(2*z**5 + z**5 - 2*z**5) + 9*z**5 - 8*z**2 + 0*z**2 - 7*z**5 + z**5 + 2*z**5 - z**5.
6*z**5 - 8*z**2
Expand (-2*v + 3 + 12*v**2 - 4 + 2)*(8 + 8 + 7*v - 17).
84*v**3 - 26*v**2 + 9*v - 1
Expand (3*x - 3*x - 2*x)*(-1663*x**3 - 1392*x**3 + 3898*x**3).
-1686*x**4
Expand (232*j**2 + 257*j**2 - 588*j**2)*(-8*j**2 - 3 + 3).
792*j**4
Expand -13*m**2 - 7*m**2 - 2*m**2 + (0*m**2 + 3*m**2 - 5*m**2)*(3 + 3 - 4) - m**2 - m**2 - m**2.
-29*m**2
Expand (-11 + 11 - 3*r)*(-1 + 2 + 0)*(2 - 3 - 3).
12*r
Expand (0 - 1 + 3)*(-3*n + n + 0*n) + 2*n + 0*n + 0*n + 4*n - n - 4*n - 5758 - 135*n + 5758.
-138*n
Expand (-6*r - 4*r**2 + 6*r)*(5*r - 3*r + 9*r + (0*r + 5*r - 3*r)*(-4 + 2 - 1)).
-20*r**3
Expand (-1 - 1 - 1)*(11 + 0 + 16)*(2*z**2 - 4*z**2 - 2*z**2).
324*z**2
Expand (2*m**2 - m**2 + m**2)*(4*m**3 - 38*m - 6*m**3 - 1 - 22*m).
-4*m**5 - 120*m**3 - 2*m**2
Expand 2 - 218*t**2 - t**3 + t**5 + t**4 + 218*t**2 - t**2 + t**5 + t**2 + (-2*t**5 - 3*t**5 + 3*t**5)*(-1 + 0 + 2) - 3*t**5 + 2*t**5 + 0*t**5.
-t**5 + t**4 - t**3 + 2
Expand (3*z**2 - z**2 + 2*z**2)*((-1 - 2 + 4)*(0*z - 3*z + 5*z) - 6 + 6 - 10*z).
-32*z**3
Expand (-2*q**2 + 5*q**2 - 2*q**2 + (-2 + 2 - 7*q)*(-5*q - 3*q + 5*q))*(1 + 0 - 3)*(-q + q - q**3).
44*q**5
Expand (-2*h**2 + 2*h**2 + 2*h**4 + (-5 - 1 + 3)*(3*h**4 - 4*h**4 + 0*h**4) - 2*h**4 + 3*h**4 + 0*h**4)*(39 - 92 + 43 + h).
6*h**5 - 60*h**4
Expand (-6*r**4 - 16*r + 16*r)*(2 + 3*r - 3 - 5*r)*(-2 + 0 + 1).
-12*r**5 - 6*r**4
Expand (-50 - 50 - 2)*((-4*v**4 + 0*v**4 + 5*v**4)*(-v - v + 4*v) - 2*v**3 + v**5 + 2*v**3).
-306*v**5
Expand 5*z - 5*z - z**2 + (-3 + 0 + 0 + (-2 + 3 + 0)*(2 - 4 + 0))*(-1 + 1 - z**2 + (4*z**2 - 4*z**2 + z**2)*(-3 + 0 + 1)).
14*z**2
Expand (-w - 2 + 2)*(-11*w**4 + 84*w**3 - 84*w**3 + (4*w**3 - w**3 - w**3)*(0 + 0 + 2*w) + w - w**4 - w).
8*w**5
Expand -2*s + 0 + 0 + (-2*s + s + 6*s)*(-16 - 10 + 6).
-102*s
Expand (-4*u**2 + 6*u**2 - 5*u**2)*(0 + 1 + 1)*(-2 + 0 - 2) + (-u - 1 + 1)*(-2*u + 0 + 0) - 3*u**2 + 4*u**2 - 2*u**2.
25*u**2
Expand (f + 0*f - 2*f)*(-1 + 1 + 4*f**3) + f**4 + f - f - 74*f**4 - 13*f**3 + 78*f**4 + 16*f**3.
f**4 + 3*f**3
Expand (2*s**2 + s**2 - 2*s**2)*(-3*s**3 - 4*s**2 + 4*s**2) + 0*s**5 - s**5 + 0*s**5 - 27*s**5 - 12*s**5 + 8*s**5.
-35*s**5
Expand ((-5 - 12 + 3)*(6 - 5 - 3) - 18 - 2 + 9)*(0*i + 0*i - i**4) - i**4 + 3*i**4 - 3*i**4.
-18*i**4
Expand (-27 + 32 + 711)*(2*l**5 - 3*l**5 + 2*l**5).
716*l**5
Expand (-7 + 7 + 15*j)*(15*j**2 - 15*j**2 - 4*j**3).
-60*j**4
Expand (-6 + 3 + 6)*(-3 + 2*k**2 + 3) + (-2 - 2*k + 2)*(-2*k + 2*k + 2*k + (-3*k - 4*k + 5*k)*(4 - 4 + 2)).
10*k**2
Expand (-7*f + 3*f + 3*f)*(5 + 10*f - 5 + (3 + f - 3)*(-4 + 2 + 1) + 3*f - f - 8*f).
-3*f**2
Expand 0*v + 2*v + 0*v + 3*v + 2*v - v + (-2 + 1 + 3)*(v - 3*v + 4*v).
10*v
Expand (2 + 2 - 5)*(-15 - 15 + 38)*(0 + 0 + 2*b + (3*b - 5*b + 0*b)*(-2 - 1 + 4) - 2*b + b - b - 4*b + 2*b + 3*b).
8*b
Expand (-180*m - 1 - 163*m + 325*m)*(m - m + m**4).
-18*m**5 - m**4
Expand (-3*c + 0*c - 2*c)*(1 + c - 1) + (0*c + 0*c - 2*c**2)*(0 + 1 - 7) + 0 - c**2 + 0.
6*c**2
Expand (20*x**2 + 8*x**2 + 4*x**2 - 2*x + 2*x + x**2 + (-3*x + 0*x + x)*(2*x + 2*x - 6*x))*(-x**3 - 4*x**3 + x**3).
-148*x**5
Expand -117*o**3 + 741*o**3 - 31*o**3 + (2 - 2 + 2*o)*(0*o**2 - o**2 - o**2) + o**3 + 0*o**3 + 0*o**3 - o**3 - o**3 + 4*o**3 - 6*o**3 + 2*o**3 + 3*o**3.
591*o**3
Expand (31 - 11 + 41)*(13*j - j**3 + 4*j - 2*j).
-61*j**3 + 915*j
Expand d**3 + 22*d**4 + d**3 - d**3 + (2*d**3 - 2*d**3 - d**3)*(0 + d + 0).
21*d**4 + d**3
Expand (-3*j**2 - 18*j**2 + 3*j**2 - 19*j**2 - j**2)*(-15*j + 37*j**2 + 15*j).
-1406*j**4
Expand (5691*z - 21*z**2 - 5691*z - 5)*(-1 + 3*z + 1)*(3 + 2 - 1).
-252*z**3 - 60*z
Expand 34*d**3 - 14*d**4 - 34*d**3 + (5*d**4 + 3*d**4 - 4*d**4)*(4 - 2 - 3).
-18*d**4
Expand ((3*z - 4*z + 3*z)*(0*z - z - 2*z) + 0 + 2*z**2 + 0 - z**2 + 1 - 1 + (-4*z + 6*z - z)*(-1 + 1 + 2*z) + z**2 - 5*z**2 + 2*z**2)*(-20*z + 2 - 21*z + 35*z).
30*z**3 - 10*z**2
Expand (v + 5*v - 5*v)*(-42*v - 236*v - 27*v - 82*v).
-387*v**2
Expand (102 + 57 - 69 + 125)*(4 - 2*c - 4).
-430*c
Expand (-3 + m**2 + 3)*(-m**3 - 2*m**3 + 5*m**3) + 29*m**5 - 57*m**5 - 61*m**5 - 3*m**5 - 16*m**2 + 16*m**2.
-90*m**5
Expand (-284 + 586 - 228)*(-2*l
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is f rounded to three decimal places?
-0.057
Let t(a) = -6*a**3 + 6*a**2 - 6*a - 6. Let z be t(5). Let g = -1752 - z. Let p = g - -626. Round p to the nearest one hundred.
-500
Let r(m) be the first derivative of -146875*m**4 + m**3/3 - m**2 + 23. Let d be r(2). Round d to the nearest 1000000.
-5000000
Let p = 3138 + -5523. Let h = p + 2385.0969. Let f = 0.076 - h. Round f to 3 decimal places.
-0.021
Let k = -946.6368 - 0.5632. Let o = k - -1086. Round o to the nearest ten.
140
Let s = 57.04 + -57.03990577. What is s rounded to 5 dps?
0.00009
Let r = 19 - 23. Let m be (14/21)/(r/(-5532702)). Let z = 507883 + m. Round z to the nearest one hundred thousand.
1400000
Let v = 2769.6 + -2768.94189. Round v to three dps.
0.658
Let i = 3371.18 - 3026. Let h = -350 + i. What is h rounded to 1 decimal place?
-4.8
Let f(n) = 75*n**2 - n - 68. Let g be f(14). Let c = 10378 - g. What is c rounded to the nearest 100?
-4200
Let z = -0.50249 + -2452.59751. What is z rounded to the nearest one thousand?
-2000
Let s(r) = 4150*r - 54. Let m be s(-8). Let x = 47194 + m. Suppose -3*v - 2375 = -g + 400, -x = -5*g + 2*v. Round g to the nearest one hundred.
2800
Let f = 30 - 78. Let m be 2/(-12) - 4/(f/32099894). Suppose -3*n + 3*u = 2*n + m, -2*n - 3*u - 1070009 = 0. Round n to the nearest ten thousand.
-540000
Let d be (-6 - (-3730)/5 - 3)/1. Round d to the nearest one hundred.
700
Let u = -1563.7 + 1563.86225. What is u rounded to 2 decimal places?
0.16
Suppose 4*p - 112 + 16 = 0. Suppose 21*s - 22680 = p*s. Round s to the nearest one thousand.
-8000
Let s(l) = -3*l**3 + 10*l - 75*l**2 + 25 + 57*l**2 + 6*l. Let d be s(13). Round d to the nearest 1000.
-9000
Let m be ((-5)/3)/((-5)/14034). Let x = m + -2869. Round x to the nearest 100.
1800
Let s = -350 - -394. Suppose -7182191 - 3399809 = s*z. Round z to the nearest ten thousand.
-240000
Let k = 0.920685724 - -7.079312666. Let r = k - 8. What is r rounded to seven decimal places?
-0.0000016
Let a = -47.791627 - -6.594272. Let b = -41.2 - a. Round b to four decimal places.
-0.0026
Let u = 301 - 279.7. Let o = 158.3 - u. Let q = o - 136.99999941. What is q rounded to 7 decimal places?
0.0000006
Suppose -4*m + 5 = 2*q - 3, -m = -4*q - 2. Suppose -325010 = -5*y - m*i, i + 64995 = -0*y + y. Round y to the nearest ten thousand.
70000
Let m = -97 - -43. Let p = 32 + m. Let k = 24.7 + p. What is k rounded to 0 decimal places?
3
Let m = -194.407 - -13.807. What is m rounded to the nearest one hundred?
-200
Let p = -0.3024 + 6.6294. What is p rounded to one dp?
6.3
Suppose 23 = 6*u - 1. Let i(s) = -s - 9. Let m be i(-13). Suppose m*o = 5*x + 333, u*x + 332 = -o + 5*o. What is o rounded to the nearest 10?
80
Let p = 6890 - 6924.642. What is p rounded to the nearest integer?
-35
Let z = -0.534 - -2.446. Let f = 1.06 + z. Round f to one dp.
3
Let o = 5.26 + -5.6. Let h = o + 0.58. Let d = h - 0.231. Round d to 3 decimal places.
0.009
Let u = -0.41 + -3.47. Let o = 4.3 + u. Let f = o + -0.420002. Round f to 6 dps.
-0.000002
Let y = -731 - -473. Suppose -7*v + 8*v - 74 = 0. Let t = y + v. Round t to the nearest ten.
-180
Let x(m) = -125*m**3 - m**2 + 5*m + 14. Let n be x(-2). Let d be n/((-20)/536*12/15). What is d rounded to the nearest ten thousand?
-30000
Let b = -2.0029 + 3.414. Let y = -0.3659 - b. Let r = y - -1.7. What is r rounded to two decimal places?
-0.08
Let n = 45 + -10. Let u = 35.016 - n. Let o = -0.01463 + u. Round o to 3 decimal places.
0.001
Let n(b) = 118*b**3 - 13*b**2 + 45*b - 10. Let f = 85 - 64. Let s be n(f). What is s rounded to the nearest 100000?
1100000
Let v = -230 - -391. Let f = 160.9999966 - v. Round f to 6 dps.
-0.000003
Let o(a) be the first derivative of -1434*a**2 - 76*a - 49. Let c be o(-7). What is c rounded to the nearest 10000?
20000
Let a be 136/(-20)*2 - 2/5. Let r be 14/4*(-7)/(a/282484). Suppose 50347 = -j + r. What is j rounded to the nearest ten thousand?
440000
Let h = -215.12968 - 0.07032. What is h rounded to the nearest 1000?
0
Let o = -9805.454 - -9815. Let h = -3.3 + 12.8. Let d = o - h. What is d rounded to one dp?
0
Let i = 2177.95448 - 2178. Round i to 3 dps.
-0.046
Let q(j) = -12671*j**2 - 32*j - 270. Let w be q(-12). Let s = w + 9844510. What is s rounded to the nearest 1000000?
8000000
Let y = 15804961 + -28883961. What is y rounded to the nearest 1000000?
-13000000
Let b = 62711 + -62710.99910414. Round b to four decimal places.
0.0009
Suppose 0 = 2*a - n + 122578, 4*a + n + 168073 = -77083. What is a rounded to the nearest 10000?
-60000
Let a(i) = 5*i + 185. Let h be a(-36). Let u = 13 + -8. Suppose h*j + 512975 = 2*j - u*w, w + 512995 = -3*j. Round j to the nearest ten thousand.
-170000
Let o = 13508 - 13507.4451. Let n = 0.36 - o. Let v = -0.205 - n. What is v rounded to 3 dps?
-0.01
Let s = -30367.58 - -30855. Round s to the nearest ten.
490
Let f = 1417.3846 + -1414. Round f to two decimal places.
3.38
Let w = 0.233 + -0.3. Let i = -0.019 - w. Let k = -0.048025 + i. Round k to five decimal places.
-0.00003
Let l = 74337 - 34347. Round l to the nearest 10000.
40000
Let r(y) be the second derivative of -y**4/12 + 5*y**3/6 - 2*y**2 + 5*y. Let b be r(2). Suppose -b*o + 2700000 = -5*o. Round o to the nearest 100000.
-900000
Let q = -108.96 - 2.04. Let g = q - -176. Let n = g + -65.00009. What is n rounded to 3 decimal places?
0
Let c = -23814181 - -43857850. Let a = 8263669 - c. What is a rounded to the nearest one million?
-12000000
Let k = 3.3733 + -3.3715011. What is k rounded to 5 decimal places?
0.0018
Let p = 608 - 607.9525. Let h = p - 0.0537. Round h to three decimal places.
-0.006
Let o = -7654.849 - -7660. Let j = o + 4.877. Let r = -10 + j. What is r rounded to three dps?
0.028
Let r = 35 + -18. Let v = -968 + 946.85. Let t = v + r. What is t rounded to one dp?
-4.2
Let n = 13078 + -13077.999972605. Round n to six dps.
0.000027
Let m(d) = 46190*d + 1290. Let b be m(19). What is b rounded to the nearest 10000?
880000
Suppose 19310462 + 50564188 = -99*y - 36370170. What is y rounded to the nearest 100000?
-1100000
Let g = -9.586 + 0.086. Let r = -142.4 - g. Round r to the nearest 10.
-130
Let b(d) = 182082*d**3 + 1010496*d**3 + d + d**2 - 145579*d**3 - 1. Let m be b(-1). What is m rounded to the nearest one hundred thousand?
-1000000
Let x = -1267676 + 741006. Round x to the nearest one thousand.
-527000
Let y = 40.1253 - 0.0253. Let w = y + -40.131. What is w rounded to three decimal places?
-0.031
Let a = 461 - 462.175. Let q = -620.474 - -621. Let w = a + q. What is w rounded to 1 decimal place?
-0.6
Let k = -36366.99960154 - -36367. What is k rounded to 6 decimal places?
0.000398
Suppose -20 = -5*p, 2*p - 816 = -7*l + 3*l. Suppose -7*t + l = 1462. Let x be ((-15000)/(-9))/(359/t + 2). Round x to the nearest 1000000.
0
Let z = -7.389574 + -0.035026. Round z to 1 decimal place.
-7.4
Let l = -0.2346389 - 0.0043358. Let a = -1491.761 + 1492. Let n = a + l. What is n rounded to five decimal places?
0.00003
Let y = 287 + -305.92. Let u = -15.6 - y. Round u to one dp.
3.3
Let d = 25.98 - 2054.98. Let p = d + 2029.0001137. What is p rounded to five decimal places?
0.00011
Let h = -0.10604 - 1090.69396. Let k = h + 957. Round k to the nearest 10.
-130
Let v = 65725 + -113927. What is v rounded to the nearest 1000?
-48000
Let p = 1009 - 955.96. Let q = p + -53. Let s = q - 0.032. What is s rounded to 2 dps?
0.01
Suppose 3*f - v = -2139599, 4*f = 8*f - 5*v + 2852795. What is f rounded to the nearest ten thousand?
-710000
Let p = -8809728 + 104511. Let j = p - -6205217. Round j to the nearest 1000000.
-3000000
Let w be (-2)/16 + (-29310706)/(-16). Let c = 840814 - w. Let h = -551105 - c. Round h to the nearest 100000.
400000
Let u = 3.234 + -3.3. Let t = -2353082.93400058 - -2353083. Let y = u + t. Round y to seven dps.
-0.0000006
Suppose -7*o = -5*o - 44878. Let t = -56739 + o. Round t to the nearest ten thousand.
-30000
Let q = 45605.0043574 + -45605. Round q to 4 decimal places.
0.0044
Suppose q = 5*f - 5266, 4*f + 1538 + 14222 = -3*q. What is q rounded to the nearest 10000?
-10000
Suppose -5*f - 2*u + 856 = 0, 2*u = -5*f + 7*u + 870. Suppose -f = -l - 32. What is l rounded to the nearest 10?
140
Let q = 34.217 - 0.017. Let t = q - 36.71. What is t rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 34969501*g.
-11473032*g**2 - 24
Find the second derivative of -104*a**3*v**2 - 46*a**3*v - 29510*a**2*v**2 - 2552*a*v wrt v.
-208*a**3 - 59020*a**2
Find the second derivative of -18938*f**3*v - 160*f**2*v**2 + 6*f*v**2 - 2*f*v + 3*f - 2*v**2 - 5861 wrt f.
-113628*f*v - 320*v**2
Find the second derivative of 13315485*t**5 - 20*t - 137474.
266309700*t**3
Find the second derivative of -365827179*w**4 - 206943970*w.
-4389926148*w**2
What is the third derivative of -232*y**5 + 22424*y**4 - y**3 + 210119487*y**2 + y?
-13920*y**2 + 538176*y - 6
Find the second derivative of -4648062*c**4 + 966496*c.
-55776744*c**2
What is the second derivative of 7655*b*q**3 + 10*b - 2088*q**5*r - 8792895*q*r wrt q?
45930*b*q - 41760*q**3*r
Find the second derivative of -11815467*p**3 + 154628376*p.
-70892802*p
What is the first derivative of 347269*a - 24965572 wrt a?
347269
Find the second derivative of 41553*u**5 - 2*u**3 + 9*u**2 - 11294578*u.
831060*u**3 - 12*u + 18
What is the second derivative of -82937968*b**3 - 40138*b - 479?
-497627808*b
Differentiate -19608669*w + 27485104.
-19608669
Find the second derivative of 52*u**4 + 21291*u**3 + 2*u - 12193353 wrt u.
624*u**2 + 127746*u
Find the second derivative of -27*c**4 + 16053*c**3 - 10*c - 52179.
-324*c**2 + 96318*c
What is the second derivative of -103271*l**3*n - 36*l**3 + 2*l**2*n - 1637*l - 5019*n wrt l?
-619626*l*n - 216*l + 4*n
What is the derivative of 3*a**3*i**2 - 44*a**3 + 34430*a - 267*i**2 + 46*i + 247 wrt a?
9*a**2*i**2 - 132*a**2 + 34430
Differentiate -13735*f*h**2 - 533859*f - 2*h**2 - 301*h wrt h.
-27470*f*h - 4*h - 301
Find the second derivative of -43*l**2*u**2 + 2*l**2*u + 3*l**2 - 58405*p**3*u**2 - 50740*p**3*u - 2*p**2*u wrt u.
-86*l**2 - 116810*p**3
Find the second derivative of 71949732*j**4 + 81150688*j + 1.
863396784*j**2
Find the first derivative of -g*i*k**2 + 355439*g*i - 3*g*k**2 + 1544*g*k - 6*i*k**2 - 1021*k wrt i.
-g*k**2 + 355439*g - 6*k**2
Find the second derivative of -4614737*b**2 - 397132*b.
-9229474
Find the third derivative of -4*p**3*v**2 - 672498*p**3 - 2*p**2*v - 60*p**2 - 92*p + 5*v**2 - 3*v wrt p.
-24*v**2 - 4034988
What is the first derivative of -c*g + 27901538*c - 98397308*g - 2 wrt c?
-g + 27901538
What is the second derivative of 9878617*a**2*b + 1586319*a - 6*b wrt a?
19757234*b
What is the third derivative of -586325129*u**6 + u**2 + 11826*u - 2627 wrt u?
-70359015480*u**3
What is the second derivative of -18747*s**5 - 274*s**2 + 373025*s wrt s?
-374940*s**3 - 548
What is the third derivative of 16*i**3*l**3 + 17*i**3*l**2 + 125*i**3*l + 3*i**2 + 14065138*l**5 - 6*l - 7 wrt l?
96*i**3 + 843908280*l**2
Find the third derivative of 1032*k**6 - 6103*k**5 - k**3 - k**2 + 15707*k + 1420.
123840*k**3 - 366180*k**2 - 6
Find the third derivative of 69171084*s**3 - s**2 - 28173859*s - 2.
415026504
What is the derivative of -1066*j**2*n - 133488846*j**2 - 3*j + 4480*n wrt n?
-1066*j**2 + 4480
Find the first derivative of 1444*c*m**3 - 13782*c*m**2 - 776952*c + 67 wrt m.
4332*c*m**2 - 27564*c*m
What is the derivative of 32444*c*p**3 + 145*c*p**2 - 3729911*p**3 wrt c?
32444*p**3 + 145*p**2
What is the third derivative of 3*w**6 - 23438222*w**3 + 855*w**2 - 109516*w?
360*w**3 - 140629332
What is the second derivative of -185*t**2*u**3 + 3178*t**2*u**2 - 306*t**2*u - 5432*u - 2 wrt u?
-1110*t**2*u + 6356*t**2
Differentiate -i*v**2 + 221111257*i + 9*v**2 - 2966636*v with respect to i.
-v**2 + 221111257
Find the second derivative of -13328384*u**3 + 2584167*u - 1 wrt u.
-79970304*u
Find the second derivative of 676*b*r**2*w**2 - 2*b*r**2 + b*r - 27*b*w**2 + 4366384*r**2*w - 54*w**3 wrt w.
1352*b*r**2 - 54*b - 324*w
What is the derivative of -686849927*k**3 - 684227063 wrt k?
-2060549781*k**2
Find the first derivative of -445*s**2*x - 3*s**2 + 6*s*x - 1296*s - 220423523*x wrt s.
-890*s*x - 6*s + 6*x - 1296
Find the third derivative of -2*i**4 - 4904766*i**3 - 2*i**2 - 29117251*i.
-48*i - 29428596
Find the third derivative of 961953768*j**4 + 500*j**2 - 461864 wrt j.
23086890432*j
Find the second derivative of -8916877*t**2 + 2*t + 10938593 wrt t.
-17833754
Differentiate 9605872*o**2 - o + 9462672.
19211744*o - 1
What is the third derivative of 2880582*s**4 + 7*s**3 + 10*s**2 - 3044110*s?
69133968*s + 42
Find the second derivative of -70915*w**4 + 2381*w**2 - 390427626*w - 2 wrt w.
-850980*w**2 + 4762
What is the first derivative of -2*u**2*z + 616*u**2 + u*y*z - 644220*y*z + 3693*y wrt z?
-2*u**2 + u*y - 644220*y
What is the second derivative of -4338094*p**2 + 12102744*p?
-8676188
What is the second derivative of 11507853*a**4 - 17088738*a?
138094236*a**2
Find the third derivative of 64*k*o**4 - 943*k*o**3 + 213*k*o**2 - 2016*k*o - 99*o**4 - o**3 - o**2 - 69 wrt o.
1536*k*o - 5658*k - 2376*o - 6
What is the third derivative of 2*z**6 - 3292425*z**5 - 2*z**2 - 3499068 wrt z?
240*z**3 - 197545500*z**2
What is the second derivative of 100813*s**4 - 4*s**2 - 817477*s?
1209756*s**2 - 8
Differentiate -80970573*h - 140864430.
-80970573
What is the derivative of 4056312*x**3*z**3 - 2834*z**3 + 18*z**2 + 3*z + 1 wrt x?
12168936*x**2*z**3
Find the second derivative of 350731*b**4 - 52*b**2 - 5*b - 50639 wrt b.
4208772*b**2 - 104
Find the third derivative of -4342*c**4*d**3 + 354*c**4 - 5*c**2*d**3 - 3*c**2*d**2 + 10*c**2 + 16354*d**3 wrt c.
-104208*c*d**3 + 8496*c
Find the second derivative of -717363962*u**2 - 670087238*u.
-1434727924
Find the second derivative of t**3*x**3 - 2*t**3*x**2 + 29306*t**3 - 64*t*x + 3568509*x**3 wrt x.
6*t**3*x - 4*t**3 + 21411054*x
What is the first derivative of -j**3 - 192194287*j + 1017782033?
-3*j**2 - 192194287
Find the second derivative of -7564*n**5 - 3*n**4 - 9*n**2 + 4483*n + 2370 wrt n.
-151280*n**3 - 36*n**2 - 18
Differentiate 36*b*h**3*v + 801180*b*h**2*v**3 - h**3*v**3 + 2*h**3*v - 47*h**2*v - 3*h**2 + 10907*h*v**3 with respect to b.
36*h**3*v + 801180*h**2*v**3
What is the third derivative of 7091*a**4 - 806*a**3 + 28641*a**2 - 44*a wrt a?
170184*a - 4836
What is the third derivative of -4473199*q**2*x**3 - 12*q**2*x**2 + 18312*q**2*x - 5*q**2 - x**2 wrt x?
-26839194*q**2
Differentiate 590858*g*k**2*l**3 + 11812430*g*k**2 - 2*l**4 with respect to l.
1772574*g*k**2*l**2 - 8*l**3
What is the derivative of -363210*l + 8840846?
-363210
What is the third derivative of 247855*s**5 - 21*s**4 - 3*s**3 - 38283183*s**2 wrt s?
14871300*s**2 - 504*s - 18
Find the third derivative of 190852048*j**4 + 14074*j**2 - 2062*j.
4580449152*j
What is the third derivative of 3464840*b**6 - 17*b**2 - 4*b + 5438 wrt b?
415780800*b**3
What is the derivative of -239*y**3 - 3*y**2 - 1000*y - 4453709?
-717*y**2 - 6*y - 1000
What is the second derivative of -21677534*w**4 - 9252441*w wrt w?
-260130408*w**2
Find the third derivative of 6*b**2*j**3 + 7304*b**2*j**2 - 74*b**2 + 1571790*j**4 wrt j.
36*b**2 + 37722960*j
What is the second derivative of 24247724*a**2 - 2522631*a - 2 wrt a?
48495448
What is the second derivative of 175721871*j**2 - 464260400*j?
351443742
What is the third derivative of 118522664*b**4 - 11744*b**2 - 77*b - 7 wrt b?
2844543936*b
What is the third derivative of 2*g**3*r**2 - 2798311*g**3*r - 2*g**2*r + 168232406*g*r**2 wrt g?
12*r**2 - 16789866*r
What is the third derivative of -129737*u**6 + 1007*u**3 + 254234217*u**2 wrt u?
-15568440*u**3 + 6042
Find the second derivative of -29876086*z**3 + 9449*z - 754 wrt z.
-179256516*z
Differentiate 113086091*v**4 + 42418988 wrt v.
452344364*v**3
What is the first derivative of -27*o**3*t + 1296430*o*t + 61945928*t wrt o?
-81*o**2*t + 1296430*t
Find the second derivative of -359*x*z**2 - x*z + 12085*x - 3*z**3 - 7952*z**2 + 136 wrt z.
-718*x - 18*z - 15904
What is the second derivative of 369341*f**2*j**3*n**2 + 2519*f**2*j**3 - 2*f**2*j**2*n + 3*f*j**3*n**2 - 3*f*j**3*n - 2*f*j*n - j + 5 wrt n?
738682*f**2*j**3 + 6*f*j**3
What is the derivative of -d*t*w**2 - 138*d + 100*t*w**2 - 1167*t*w + 149*t - 277 wrt w?
-2*d*t*w + 200*t*w - 1167*t
What is the second derivative of -4*f**5 + 59450*f**4 - 93*f**3 - 169746801*f?
-80*f**3 + 713400*f**2 - 558*f
Find the third derivative of -8843979*d**3 - 84415159*d**2 wrt d.
-53063874
Find the second derivative of -3553506*j**5 + 2*j**4 - 123*j - 23083 wrt j.
-7
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*a - 4*f, 2*a + 2*f = -2*a - 2. Let j(d) = 1. Give a*l(c) - 6*j(c).
c - 2
Let m(h) = 1. Let q(n) = -3*n + 7. Calculate -2*m(k) - q(k).
3*k - 9
Let z(c) be the first derivative of c - 16. Let d(r) = r + 2. Calculate -d(y) + 2*z(y).
-y
Let z(s) = s**3 + s**2 + 1. Let p(x) = -13*x**3 - 3*x**2 - 3. Determine 2*p(w) + 6*z(w).
-20*w**3
Let c(b) = -b**2 - 2*b - 5. Let n(u) = -u**2 - 2*u - 4. Suppose 10 + 26 = 6*k. What is k*n(x) - 5*c(x)?
-x**2 - 2*x + 1
Let r(w) = -22*w**2 + 12*w + 22. Suppose -3*v = 5*i, 0 = -4*i + 3*v + 2*v. Suppose i*s = -3*s - 36. Let m(z) = -9*z**2 + 5*z + 9. What is s*m(d) + 5*r(d)?
-2*d**2 + 2
Let w(u) = u**2 - 10*u - 12. Let v(c) = -c - 1. Let j(k) = -2*k**2 - 9*k + 3. Let p be j(-5). Calculate p*w(q) + 22*v(q).
-2*q**2 - 2*q + 2
Let b(l) = l**3 + 3*l**2 + 4. Let o be b(-3). Let q(u) = -6*u + 5. Let a(x) = 12*x - 5 - 6 + x. Calculate o*a(y) + 9*q(y).
-2*y + 1
Let k(t) = 2*t**2 + t + 2. Let u(r) = 8*r**2 + 5*r + 9. Let x be -1 - (-2)/(6/(-3)). Calculate x*u(j) + 9*k(j).
2*j**2 - j
Let c(r) = 3*r**2 + 2*r. Let s = -69 + 71. Let t(u) = 12*u**2 + 9*u. Give s*t(i) - 9*c(i).
-3*i**2
Let p(j) = 2*j**2 - 2*j - 4. Let l(k) = -5*k**2 + 4*k + 9. Calculate 6*l(c) + 14*p(c).
-2*c**2 - 4*c - 2
Let q(f) = -f**2 + 4*f - 4. Let s be q(3). Suppose -3*p - 17 = -7*p + j, -4*p + 12 = 4*j. Let i(r) = -r. Let g(v) = -6*v - 1. What is p*i(k) + s*g(k)?
2*k + 1
Let b(p) = -3*p**2 + 2*p**2 - 5*p - 5*p**2. Let c(d) = 3*d**2 - d - 2. Let q(u) = 7*u**2 - 3*u - 5. Let h(a) = -5*c(a) + 2*q(a). Give 2*b(n) - 11*h(n).
-n**2 + n
Let t(s) = s**2 - s + 1. Let f(q) = 2*q - 3. Determine -f(b) - 3*t(b).
-3*b**2 + b
Let d(v) = -3*v + 17. Let k = 5 - 9. Let q(o) = o - 6. Determine k*d(j) - 11*q(j).
j - 2
Suppose 0*c - c + 6 = -3*p, 4*p = 3*c - 3. Let n(j) = 11*j + 3. Let o(q) = -4*q - 1. What is c*n(f) - 8*o(f)?
-f - 1
Let i(r) = -r - 46. Let s(v) = -v - 1. Calculate i(n) - 3*s(n).
2*n - 43
Let f(t) = -17 + 6*t**3 + t**3 + 6*t**3. Let w = -3 - -5. Let p(s) = 3*s**3 - 4. Give w*f(j) - 9*p(j).
-j**3 + 2
Let i(b) = 3*b**2 - 2*b + 6. Let u(l) = 3*l**2 - 3*l + 5. Give 4*i(v) - 5*u(v).
-3*v**2 + 7*v - 1
Let y(q) = -2*q**3 + 4*q**2 - 4. Let h = -13 + 16. Let g(d) = -d**3 + 3*d**2 - 3. Calculate h*y(t) - 4*g(t).
-2*t**3
Let p(d) = 6*d**3 + 11*d + 11. Let g(b) = b**3 + 2*b + 2. Give -22*g(q) + 4*p(q).
2*q**3
Let c(m) = -2*m + 1. Let x(b) be the third derivative of -b**4/6 + b**3/3 + 35*b**2. Determine 13*c(k) - 6*x(k).
-2*k + 1
Let m(s) = s + 6. Let b(g) = 4*g - 16. Let q be b(5). Let l(i) = 2*i + 13. Give q*l(v) - 9*m(v).
-v - 2
Let b(v) = 2*v**2 + 6*v - 1. Let c(s) = -s. Suppose -k + 5*k + 3*i = 7, -i = 3. Determine k*c(t) + b(t).
2*t**2 + 2*t - 1
Let g(t) = -17*t**3 + 2*t**2 - 9*t + 9. Let k(j) = -8*j**3 + j**2 - 4*j + 4. What is 4*g(u) - 9*k(u)?
4*u**3 - u**2
Let c(i) = 3. Let k(l) = l + 4. Let q(a) = -5*a - 21. Let r(b) = 11*k(b) + 2*q(b). Give -3*c(v) + 4*r(v).
4*v - 1
Let w(a) = 7*a**3 - 7*a - 2. Let d = -20 + 16. Let i(v) = 3*v**3 - 3*v - 1. Determine d*w(q) + 10*i(q).
2*q**3 - 2*q - 2
Let s(u) = 3*u + 2. Suppose -5*r = -2*r - 57. Suppose -3*y + j - r = 0, 0 = -5*y - 5*j - 4 - 1. Let t(n) = 4*n + 2. Calculate y*t(v) + 6*s(v).
-2*v + 2
Let l be 1/2 + 99/(-22). Let k(z) = 13*z**2 + 11*z - 7. Let s(i) = -6*i**2 - 5*i + 3. What is l*k(a) - 9*s(a)?
2*a**2 + a + 1
Let l be (-6)/30 + 52/10. Let u(s) = -8 + l*s + 0 + 4. Let n(j) = -j + 1. Give -4*n(o) - u(o).
-o
Let c(i) = -2*i**2 + 3*i. Let v(a) = a**2 - a + 6. Let r(b) = 2*b**2 - 2*b + 13. Let q(s) = -6*r(s) + 13*v(s). Give 2*c(l) + 6*q(l).
2*l**2
Let f(s) = s. Let v(u) = 10*u + 2. Suppose 5*q - 9 = -5*t + t, 0 = -5*t + 2*q + 3. Suppose -251 = 4*o - 203. Calculate o*f(r) + t*v(r).
-2*r + 2
Let y(p) = 14*p**2 + 5*p + 3. Let i(l) = 5*l**2 + 2*l + 1. Suppose 2*o = -x + 4, -4*x = -5*o + 14 - 4. Let c be (o/(-3))/((-2)/(-9)). Give c*y(v) + 8*i(v).
-2*v**2 + v - 1
Let m = 4 + 1. Suppose -5*s - 4*u = -m, 2*u + 20 = -2*u. Let f(j) = 4*j**3 + 7*j**2 + 4*j. Let z(g) = 5*g**3 + 8*g**2 + 5*g. Determine s*z(a) - 6*f(a).
a**3 - 2*a**2 + a
Let v(h) = -6*h - 10. Let d(c) = -11*c - 20. Determine -4*d(l) + 7*v(l).
2*l + 10
Let p(q) = 52*q**3 + 12*q**2 - 12*q. Let z(f) = f**3 + f**2 - f. Determine p(w) - 12*z(w).
40*w**3
Let i(l) = -l**2 - 1. Let r(v) = v + 2. Determine -2*i(q) - r(q).
2*q**2 - q
Let j(d) = 9*d**2 - 17. Let u(n) = -n**2 + 2. Determine 6*j(o) + 51*u(o).
3*o**2
Let z(b) = -2*b**2 - 9. Let m(y) = -y**2 - 4. Let k = 22 - 20. What is k*z(f) - 5*m(f)?
f**2 + 2
Let r(c) = c**3 - 3*c**2 - 5*c - 4. Let y(j) = -j**3 + 3*j**2 + 4*j + 5. Determine -5*r(n) - 4*y(n).
-n**3 + 3*n**2 + 9*n
Let f(d) be the second derivative of -d**3/3 + d**2 + 18*d. Let w(q) = q**2 - 2 + 3 - q + 0*q. Determine f(n) - w(n).
-n**2 - n + 1
Let x(s) = -1. Let a(d) = -d. Let h(o) = 3*o - 2. Let w(f) = 2*a(f) + h(f). Calculate -w(r) + 4*x(r).
-r - 2
Let l(s) = 3*s**3 + 26*s**2 - 11*s + 2. Let n(k) = k**3 + 9*k**2 - 4*k + 1. Calculate -4*l(b) + 11*n(b).
-b**3 - 5*b**2 + 3
Let n = -13 - -6. Let m = -3 - n. Let j be -2 + m/((-8)/22). Let l(w) = -2*w + 17. Let z(r) = r - 8. What is j*z(k) - 6*l(k)?
-k + 2
Let y(l) = -5*l**3 + l**2 + 10*l - 6. Let d(f) = -9*f**3 + 2*f**2 + 19*f - 11. What is -6*d(c) + 11*y(c)?
-c**3 - c**2 - 4*c
Let r(f) = -f - 1. Let j(v) = 6*v + 3. Let s = -13 - -9. Let m be ((-1)/3)/(2/6). What is m*j(h) + s*r(h)?
-2*h + 1
Let u(r) be the third derivative of r**4/12 + 5*r**3/6 + 4*r**2 - 3. Let v(s) = -1. Calculate -u(k) - 4*v(k).
-2*k - 1
Let g(k) = -2*k + 1. Let o(q) = q. What is -4*g(d) - 9*o(d)?
-d - 4
Let j(a) = -a - 7. Let g(d) = -d - 14. Let v(s) = -3*g(s) + 5*j(s). Suppose 0 = t + 3 - 8. Let l(n) = 2*n - 6. Give t*v(f) + 6*l(f).
2*f - 1
Let t(h) = 2*h**2 - 5*h - 4. Let x(k) = -2*k**2 + 6*k + 5. Let y = 56 - 62. Determine y*x(z) - 7*t(z).
-2*z**2 - z - 2
Let g(q) = -4*q - 5. Let z(o) = -17*o - 18. What is -26*g(t) + 6*z(t)?
2*t + 22
Let r(w) = 3*w + 2. Let j(d) = 1. Let f be 54/15 + 3/(-5). Calculate f*j(p) - r(p).
-3*p + 1
Suppose -g + 5*g + 96 = 0. Let f(w) = -15*w. Let c(b) = -3*b. Calculate g*c(y) + 5*f(y).
-3*y
Suppose 0 = 3*m - 5*b, -4*b + 1 = -m - 2*b. Let q(h) = -6*h - 4. Let a(y) = 8 - 5 + 6*y - y. Calculate m*a(z) + 4*q(z).
z - 1
Let v(k) = 3*k**2 + 7*k + 7. Let i(q) = 2*q**2 + 3*q + 4. Let m(s) = 7*i(s) - 3*v(s). Let c(o) = -6*o**2 - 8. Let a be 4/(-6) - (-23)/3. Give a*m(z) + 6*c(z).
-z**2 + 1
Let b(z) = 2*z + 5. Let d(u) = -10*u - 24. What is -14*b(t) - 3*d(t)?
2*t + 2
Let h(w) = 8*w**3 - 3*w + 12. Let n(v) = 2*v**3 - v + 3. Give -2*h(i) + 9*n(i).
2*i**3 - 3*i + 3
Let z(b) = -2*b - 3. Let v be z(-2). Let o be 2*-2 + (-3)/v. Let w(j) = -5*j - 2. Let f(l) = -6*l - 2. Give o*w(h) + 6*f(h).
-h + 2
Let r be 0 + (-2)/(2/(-3)). Let w be 3/5 - 4/(-10). Suppose -r*x + w = -5. Let t(a) = -a**2 - a. Let z(f) = -3*f + 2. Determine x*t(g) - z(g).
-2*g**2 + g - 2
Let b(g) = -5*g**3 - 4*g**2 - 4. Suppose -x + 3 + 1 = 0. Let d(l) be the third derivative of l**6/120 + l**5/60 + l**3/6 - 18*l**2. What is x*d(y) + b(y)?
-y**3
Let s(l) = l - 1. Let q(m) = -2*m**2 + 6*m - 5. Let t(v) = 4*v - 3*v - 3 + 8. Let h be t(-6). Give h*q(x) + 4*s(x).
2*x**2 - 2*x + 1
Let d(f) = -13*f**2 - 13*f - 8. Let r(g) = 7*g**2 + 7*g + 4. Let t = 6 - 0. Calculate t*d(w) + 11*r(w).
-w**2 - w - 4
Let t(j) = 3*j**2 + 12*j + 12. Let m(g) be the first derivative of -g**2/2 - g + 25. Give -12*m(z) - t(z).
-3*z**2
Let k(j) = -4*j + 14. Let g(n) = n - 5. Suppose o = -1 - 2. Determine o*k(s) - 8*g(s).
4*s - 2
Let n(f) = -f - 7. Let l(a) = 124 - a - 254 + 122. Determine 3*l(k) - 4*n(k).
k + 4
Let u(n) = -5*n**2 + 2*n - 2. Let z(w) = -84*w**2 + 35*w - 35. Calculate 35*u(a) - 2*z(a).
-7*a**2
Let i(a) = -63*a + 5. Let m(l) = -16*l + 1. Determine -2*i(j) + 9*m(j).
-18*j - 1
Let x(p) be the third derivative of p**5/60 + p**4/24 - 5*p**3/6 - 3*p**2 - 5. Let k(a) = 4 + 2*a + a - a**2 - 4*a. Determine -6*k(r) - 5*x(r).
r**2 + r + 1
Let q(w) = -6*w**2 + 36*w + 36. Let o(n) = n + 1. Give -36*o(r) + q(r).
-6*r**2
Let r(p) = p**2 - p + 1. Let o(d) = d**3 + 2*d**2 - d + 2. What is -o(t) + r(t)?
-t**3 - t**2 - 1
Let o(f) be the second derivative of 9*f**5/20 - 7*f**4/12 - f**3/2 - 7*f**2/2 - 3*f. Let q(y) = -5*y**3 + 4*y**2 + 2*y + 4. Calculate -4*o(m) - 7*q(m).
-m**3 - 2*m
Let o(v) =
|
{
"pile_set_name": "DM Mathematics"
}
|
fo?
1/35
Three letters picked without replacement from eewkoekexwoeoekoo. Give prob of sequence oww.
1/408
Calculate prob of sequence vv when two letters picked without replacement from vtv.
1/3
What is prob of sequence cz when two letters picked without replacement from {c: 3, z: 11}?
33/182
What is prob of sequence xxx when three letters picked without replacement from xxxxnxnn?
5/28
Three letters picked without replacement from {b: 1, x: 17}. What is prob of sequence xxb?
1/18
What is prob of sequence ldl when three letters picked without replacement from {w: 1, l: 6, d: 12}?
20/323
Calculate prob of sequence xx when two letters picked without replacement from {x: 3, z: 9}.
1/22
Calculate prob of sequence ll when two letters picked without replacement from lyy.
0
Two letters picked without replacement from bbbwww. What is prob of sequence bb?
1/5
Two letters picked without replacement from {j: 1, x: 2, i: 1}. What is prob of sequence ix?
1/6
Calculate prob of sequence icg when three letters picked without replacement from icugicgu.
1/42
Calculate prob of sequence ull when three letters picked without replacement from ullllllllllll.
1/13
Four letters picked without replacement from {f: 1, a: 1, s: 3, w: 1, k: 1}. Give prob of sequence ksws.
1/140
Two letters picked without replacement from {f: 12, r: 1}. Give prob of sequence rf.
1/13
Calculate prob of sequence bub when three letters picked without replacement from {u: 5, b: 9}.
15/91
Calculate prob of sequence cgt when three letters picked without replacement from {d: 1, g: 3, h: 6, c: 1, t: 2}.
1/286
Two letters picked without replacement from nvnvhhyhnhnnnynnv. What is prob of sequence vv?
3/136
Four letters picked without replacement from {f: 2, g: 7, m: 5}. What is prob of sequence ffgg?
1/286
Four letters picked without replacement from {c: 17, x: 3}. What is prob of sequence xccc?
2/19
Four letters picked without replacement from rrtttrrttrrrtrprttt. What is prob of sequence tprt?
9/1292
Two letters picked without replacement from {w: 3, l: 2}. Give prob of sequence lw.
3/10
Four letters picked without replacement from {d: 3, y: 6, a: 5, r: 3}. Give prob of sequence aady.
3/476
Two letters picked without replacement from {f: 2, k: 1, r: 4, b: 2, a: 1, v: 4}. What is prob of sequence kr?
2/91
Two letters picked without replacement from {n: 3, r: 2}. Give prob of sequence nn.
3/10
What is prob of sequence si when two letters picked without replacement from {s: 2, f: 3, d: 5, i: 10}?
1/19
What is prob of sequence ljj when three letters picked without replacement from {j: 3, k: 1, u: 3, l: 3, d: 1, x: 6}?
3/680
Three letters picked without replacement from kll. What is prob of sequence kll?
1/3
Calculate prob of sequence obbb when four letters picked without replacement from {o: 2, b: 10}.
4/33
Four letters picked without replacement from {s: 1, g: 1, y: 1, o: 2, b: 1, r: 2}. Give prob of sequence sgro.
1/420
Three letters picked without replacement from {h: 6, o: 2, b: 1, z: 4}. What is prob of sequence zbo?
2/429
What is prob of sequence bff when three letters picked without replacement from bbbbbfbbbbbfbbbbbff?
10/323
Calculate prob of sequence lzmr when four letters picked without replacement from mrzrzl.
1/90
Two letters picked without replacement from {h: 2, m: 4, w: 10, o: 1, e: 1}. What is prob of sequence ho?
1/153
Calculate prob of sequence bp when two letters picked without replacement from hhbph.
1/20
Four letters picked without replacement from {o: 7, e: 2}. Give prob of sequence eooo.
5/36
Three letters picked without replacement from mvvmvolvvvov. What is prob of sequence vmv?
7/110
Calculate prob of sequence kli when three letters picked without replacement from {l: 2, k: 1, c: 1, r: 1, q: 1, i: 1}.
1/105
What is prob of sequence aaga when four letters picked without replacement from {a: 3, g: 4}?
1/35
Three letters picked without replacement from zzzzzzzzzzzzzzzezzze. What is prob of sequence zze?
17/190
Three letters picked without replacement from bvbnlbbvbcvlcbbclvc. What is prob of sequence nlv?
2/969
What is prob of sequence efwf when four letters picked without replacement from wwewefffeff?
1/44
Two letters picked without replacement from kpppppbpkppkvvbpvp. Give prob of sequence kp.
5/51
Three letters picked without replacement from srxryzzyyssssyysyy. What is prob of sequence yxr?
7/2448
Three letters picked without replacement from rrbllrcclrl. What is prob of sequence rll?
8/165
Two letters picked without replacement from uuaaauaauuaaaaauaau. Give prob of sequence au.
14/57
Calculate prob of sequence wqq when three letters picked without replacement from wqqvvvqvqqqqqqqvq.
11/408
Two letters picked without replacement from rjrrrrwwrmwrfrrkrmr. Give prob of sequence wk.
1/114
What is prob of sequence rvh when three letters picked without replacement from jxvdrhj?
1/210
Calculate prob of sequence hh when two letters picked without replacement from hohhhhhh.
3/4
What is prob of sequence ei when two letters picked without replacement from {o: 1, x: 2, p: 1, e: 5, i: 1}?
1/18
Calculate prob of sequence vvmm when four letters picked without replacement from {t: 6, c: 1, v: 4, m: 4, k: 1}.
3/910
Calculate prob of sequence zc when two letters picked without replacement from {o: 2, c: 1, z: 7, d: 3, i: 4}.
7/272
Calculate prob of sequence scuj when four letters picked without replacement from {u: 1, j: 2, c: 5, s: 6, l: 1}.
1/546
Two letters picked without replacement from aawaw. What is prob of sequence aa?
3/10
Four letters picked without replacement from gnnwuunuwunennh. Give prob of sequence hewg.
1/16380
Calculate prob of sequence pcip when four letters picked without replacement from wcwiioiiwipipi.
1/1716
What is prob of sequence pe when two letters picked without replacement from {j: 1, r: 1, g: 1, l: 1, e: 1, p: 2}?
1/21
Three letters picked without replacement from ougeceutgtueg. What is prob of sequence ggg?
1/286
Three letters picked without replacement from {c: 2, s: 3, f: 4, n: 2, e: 3, x: 1}. What is prob of sequence fee?
4/455
Three letters picked without replacement from ooojjjrvvoojoooojoo. What is prob of sequence jvo?
55/2907
Four letters picked without replacement from gqqgggwgf. What is prob of sequence fgqw?
5/1512
Two letters picked without replacement from kiiikkkk. Give prob of sequence kk.
5/14
Calculate prob of sequence ybq when three letters picked without replacement from {q: 1, b: 5, a: 4, y: 3, z: 1}.
5/728
Two letters picked without replacement from {q: 1, z: 1, l: 1, c: 1, v: 3}. What is prob of sequence zq?
1/42
What is prob of sequence qyy when three letters picked without replacement from {a: 3, y: 3, j: 1, i: 1, o: 1, q: 5}?
5/364
Calculate prob of sequence bic when three letters picked without replacement from {b: 4, i: 5, c: 4, z: 6, s: 1}.
2/171
What is prob of sequence hs when two letters picked without replacement from ttthsvthhvstat?
3/91
Calculate prob of sequence qw when two letters picked without replacement from {z: 9, w: 1, q: 1, u: 1}.
1/132
Four letters picked without replacement from ysyvysvy. What is prob of sequence vsys?
1/105
Four letters picked without replacement from mmmmmm. Give prob of sequence mmmm.
1
What is prob of sequence xxu when three letters picked without replacement from {u: 4, x: 2}?
1/15
What is prob of sequence pk when two letters picked without replacement from {r: 2, f: 1, k: 1, n: 1, p: 2}?
1/21
Two letters picked without replacement from vavviaivpi. What is prob of sequence pp?
0
Four letters picked without replacement from {o: 1, i: 4, l: 1, p: 2}. Give prob of sequence iipo.
1/70
Two letters picked without replacement from fvvvffvv. Give prob of sequence fv.
15/56
Three letters picked without replacement from {h: 1, a: 1, n: 5, g: 1, j: 1}. What is prob of sequence hjg?
1/504
What is prob of sequence ll when two letters picked without replacement from lhlllllflllll?
55/78
Three letters picked without replacement from {v: 7, j: 12}. Give prob of sequence jvj.
154/969
Two letters picked without replacement from immiiii. What is prob of sequence mi?
5/21
Two letters picked without replacement from qmfqiqmmmqmmooiofomo. What is prob of sequence mi?
7/190
What is prob of sequence lmm when th
|
{
"pile_set_name": "DM Mathematics"
}
|
0, 42
Find y, given that 6*y + 0 + 74/5*y**2 + 44/5*y**3 = 0.
-1, -15/22, 0
Let u(m) = 5623*m**2 + 7*m - 5. Let b be u(1). Factor -51*i - 86*i**2 + 42*i**2 + 201*i + 45*i**2 + b.
(i + 75)**2
Let j(z) = 43*z**5 - 80*z**4 + 41*z**3 + 2*z**2 - 2*z + 2. Let q(k) = 2*k**4 + k**3 - k + 1. Let p(x) = -5*j(x) + 10*q(x). Factor p(m).
-5*m**2*(m - 1)**2*(43*m + 2)
Let n = 1/6827 - -6821/40962. Determine q, given that n*q**3 + 4/3*q - 5/6*q**2 - 2/3 = 0.
1, 2
Let u(y) be the first derivative of -1/2*y**4 + 236 + 76*y**2 + 46/3*y**3 + 104*y. Factor u(z).
-2*(z - 26)*(z + 1)*(z + 2)
Let y(j) be the third derivative of -11*j**6/60 - 97*j**5/30 - 62*j**4/3 - 48*j**3 - 857*j**2. Factor y(r).
-2*(r + 4)**2*(11*r + 9)
Let v(o) be the first derivative of -o**4/2 - 122*o**3/3 - 499*o**2 + 1122*o - 16271. Determine g, given that v(g) = 0.
-51, -11, 1
Let v = 22 - 22. Suppose -x + h + 5 = v, -h + 1 = x - 0*x. What is k in -53*k**3 + 44*k - 124*k - 62*k**3 + 135*k**x - 80 + 5*k**4 = 0?
-2, 2
Suppose -459 = -o - t, o + 8*t - 450 = 4*t. Let g = 1849/4 - o. Factor 0 - 1/4*n + g*n**2.
n*(n - 1)/4
Let d(f) = -11*f**3 - 86*f**2 - 314*f + 6. Let o(b) = -34*b**3 - 259*b**2 - 941*b + 19. Let y(c) = -19*d(c) + 6*o(c). Suppose y(h) = 0. What is h?
-8, 0
Let d(k) be the first derivative of 1/9*k**6 - 3/2*k**4 + 8/3*k**2 - 26/9*k**3 + 2/15*k**5 + 223 + 8*k. Let d(l) = 0. Calculate l.
-2, -1, 1, 3
Let w be 0 + 16/28*7. Let r be -4*(-5)/280*(0 + w). Suppose 0*v**2 + 0 + r*v**3 + 0*v = 0. Calculate v.
0
Factor 18 - 1038*k - 279*k**2 - 618 - 259*k**4 + 154*k**3 - 258*k**4 + 514*k**4 + 2*k**3.
-3*(k - 50)*(k - 4)*(k + 1)**2
Let q(d) be the third derivative of -5/2*d**4 + 2/5*d**5 + 0 + 1/40*d**6 + 0*d + 0*d**3 + 259*d**2. Factor q(v).
3*v*(v - 2)*(v + 10)
Let w(a) = -2*a**2 + 8*a + 2. Let h be w(4). Find s, given that -17*s**2 - h*s**4 - s**2 - 15*s**3 + 27*s**3 + 8*s = 0.
0, 1, 4
Let q(l) = -4*l**4 - 24*l**3 + 25*l**2 - 12*l. Let m(i) = 2*i**4 - i**3 - 2*i. Let k be ((-3)/(-4))/(8/((-160)/5)). Let n(a) = k*m(a) + q(a). Factor n(u).
-u*(u + 3)*(2*u - 1)*(5*u - 2)
Let z = -1165658 - -1165660. Factor -1/3*w**z - 3*w - 14/3.
-(w + 2)*(w + 7)/3
Let n(v) be the third derivative of v**5/300 - 11*v**4/30 + 14*v**3/5 - 89*v**2 - v - 1. Determine h so that n(h) = 0.
2, 42
Let s be -16*12*5/40*(-34)/8. Factor 2/7*r**3 + s*r - 1156/7 - 72/7*r**2.
2*(r - 17)**2*(r - 2)/7
Let k(o) be the third derivative of 6*o**7/7 + 53*o**6/20 - 53*o**5/30 - 5*o**4/3 + 4*o**3/3 - 56*o**2 - 6. Let k(t) = 0. What is t?
-2, -1/3, 1/6, 2/5
Let x(w) = 2*w + 4. Let b be ((0/2)/(4 - 2))/1. Let r be x(b). Let -h**4 + 6*h**3 + 7*h**4 + 3*h**5 + 0*h**r + 3*h**4 = 0. What is h?
-2, -1, 0
Factor -23836 - 16*r**2 - 643*r + 24140 - 569*r.
-4*(r + 76)*(4*r - 1)
Suppose -422 = -6*v - 236. Factor v*f - 175*f**2 - 87*f**3 + 153*f**2 + 644*f - 563*f**2 - 3*f**4.
-3*f*(f - 1)*(f + 15)**2
Let s(x) = 6*x**3 + 698*x**2 - 697*x - 84. Let y(o) = -2*o**3 - 232*o**2 + 232*o + 24. Let i(c) = 4*s(c) + 14*y(c). Let i(r) = 0. Calculate r.
-115, 0, 1
Suppose 1066*t - 1043*t = 161. Let b(z) be the third derivative of 0 - 1/120*z**6 + 0*z + 0*z**4 - 10*z**2 - 1/210*z**t + 0*z**5 + 0*z**3. Solve b(s) = 0 for s.
-1, 0
Let y(a) be the first derivative of -1/3*a**2 - 5*a - 19 - 1/9*a**3 - 1/72*a**4. Let q(j) be the first derivative of y(j). Factor q(p).
-(p + 2)**2/6
Let o(m) = -4*m**3 + 259*m**2 + 1491*m + 2304. Let i(k) = 3*k**3 - 195*k**2 - 1118*k - 1728. Let p(q) = 9*i(q) + 7*o(q). Solve p(c) = 0.
-3, 64
Let b(h) = 18*h**2 + 1068*h - 174. Let o(c) = -16*c**2 - 1068*c + 184. Let t(j) = 3*b(j) + 4*o(j). Determine g, given that t(g) = 0.
-107, 1/5
Let k = 2/48837 - -48805/781392. Let h(l) be the first derivative of 1/8*l**2 - 1/12*l**3 - 23 + 0*l - k*l**4 + 1/20*l**5. Solve h(o) = 0.
-1, 0, 1
Suppose 3*q = -5*l + 16, 9*l - 3*q = 5*l + 2. Suppose -9*d + 15*d - 8 + 4*d**2 - 5*d**l = 0. What is d?
2, 4
Let r = 6 - 1. Determine s so that -3*s**4 + r*s**2 - 2*s**4 + 18734 - 18734 - 80*s**3 + 80*s = 0.
-16, -1, 0, 1
Let z(t) be the third derivative of -t**8/784 - t**7/98 + t**6/140 + t**5/14 - t**4/56 - 5*t**3/14 - t**2 + 142*t. Find w such that z(w) = 0.
-5, -1, 1
Let r(c) be the third derivative of 2*c**7/105 - 8*c**6/15 + 76*c**5/15 - 16*c**4 - 2732*c**2. Factor r(l).
4*l*(l - 8)*(l - 6)*(l - 2)
Suppose -229*y - 1503*y + 4132 = 334*y. Determine a so that 2/5*a**5 + 64/5*a**4 + 506/5*a**3 + 1024/5 - 188/5*a**y - 1408/5*a = 0.
-16, -2, 1
Let i(n) be the third derivative of 0 + 0*n + 3/8*n**4 + 1/600*n**5 + 135/4*n**3 + 32*n**2. Factor i(t).
(t + 45)**2/10
Suppose -5*r = 20, -d = 3*d - 3*r + 16. Let g be 2/d - 736/(-224). Let 5 + 2*k**2 - 15*k + 9*k**2 + 2*k - k**g - 2*k**3 = 0. What is k?
1, 5/3
Factor -84*i**3 + 2*i**4 - 2181250*i**2 - 1742*i + 800 + 62*i + 2182212*i**2.
2*(i - 20)**2*(i - 1)**2
Find a such that -172*a**4 + 216*a**3 + 152*a**4 + 712*a**2 - 96*a - 11*a**3 - 50 - 462 + 71*a**3 = 0.
-2, -1, 4/5, 16
Let c(p) = -9*p**2 + p - 21*p + 50 - 148*p - 12*p. Let i(m) = -19*m**2 - 360*m + 99. Let y(w) = -5*c(w) + 2*i(w). Factor y(b).
(b + 26)*(7*b - 2)
Let p = 2491/346 - -1/1730. Let n(x) be the first derivative of 24 - 6/5*x**2 - 1/15*x**3 - p*x. Factor n(h).
-(h + 6)**2/5
Find z such that 10224/7*z - 5184/7 - 4897/7*z**2 - 142/7*z**3 - 1/7*z**4 = 0.
-72, 1
Let b(n) be the first derivative of n**7/945 - n**6/135 + n**5/45 - n**4/27 + n**3/27 + 27*n**2/2 - 73. Let w(p) be the second derivative of b(p). Factor w(g).
2*(g - 1)**4/9
Let p(n) = 9*n**3 - 546*n**2 - 659*n + 13. Let g(c) = 3*c**3 - 183*c**2 - 218*c + 4. Let z(k) = 13*g(k) - 4*p(k). Solve z(j) = 0 for j.
-1, 0, 66
Let v = -33 + 71. Let b = -34 + v. Determine c, given that -1656*c**3 + 0*c**b + 1647*c**3 - 3*c**4 = 0.
-3, 0
Let d(n) be the second derivative of 26*n - 10*n**3 + 1 - 1/10*n**6 - 21/20*n**5 - 12*n**2 - 9/2*n**4. Factor d(m).
-3*(m + 1)*(m + 2)**3
Let g = -1073335 + 1073338. Solve 1568/13*q + 0 + 114/13*q**g + 1680/13*q**2 + 2/13*q**4 = 0 for q.
-28, -1, 0
Let l be 24/(-4)*(-3)/6. Suppose 3*x = l + 42. Determine t so that t**2 + 15*t - 6*t**2 - 5 + 24*t**4 - 14*t**4 - x*t**3 = 0.
-1, 1/2, 1
Factor -2758*n - 12*n**2 - 6035*n + 7*n**2 + 2940 + 5858*n.
-5*(n - 1)*(n + 588)
Let m(j) be the first derivative of -j**8/560 - j**7/56 - j**6/30 - 60*j**3 - 177. Let t(w) be the third derivative of m(w). Determine g so that t(g) = 0.
-4, -1, 0
Let z = -7679 - -7683. Let a(l) be the third derivative of 1/7*l**3 + 0 + 1/280*l**6 - 3/140*l**5 - l**2 - 1/56*l**z + 0*l + 1/490*l**7. Factor a(w).
3*(w - 1)**2*(w + 1)*(w + 2)/7
Factor -270*k**2 - k**3 - 45*k - 54 - 281*k**2 + 815*k**2 - 276*k**2.
-(k + 3)**2*(k + 6)
Let b(t) be the third derivative of 1/10*t**6 + 2/105*t**7 - 4/3*t**3 - 1/2*t**4 + 0*t - 63*t**2 + 1/15*t**5 + 0. Determine g, given that b(g) = 0.
-2, -1, 1
Determine q so that -14/3 + 2/3*q**2 + 4*q = 0.
-7, 1
Suppose -44*o + 23*o + 378 = 0. Let u be (-5 + -11)*(-3)/o. Let u*m - 8/3 - 2/3*m**2 = 0. Calculate m.
2
Let n(l) be the second derivative of l**7/189 - 26*l**6/135 - 4659*l. Factor n(h).
2*h**4*(h - 26)/9
Let t be -1 + (-151)/(-55) + (96/440)/(8/(-20)). Suppose 4/5*u**2 - 2/5*u**3 + 0 + t*u = 0. What is u?
-1, 0, 3
Let b(w) be the second derivative of -3/4*w**2 + 2 - 13*w - 5/4*w**3 - 1/2*w**4. Factor b(c).
-3*(c + 1)*(4*c + 1)/2
Suppose 2*i - 5*n = 166, 308 = 4*i + 2*n - 0*n. Factor 236*h**3 - 77*h**3 - 77*h**3 - i*h**3.
4*h**3
Suppose 432*h - 288*h**2 + 628/7*h**3 + 4/7*h**5 - 1728/7 - 88/7*h**4 = 0. What is h?
2, 3, 12
Let h(g) = 216*g**2 - 884*g - 940. Let f(x) = -97*x**2 + 393*x + 418. Let l(y) = 20*f(y) + 9*h(y). Factor l(n).
4*(n - 25)*(n + 1)
Let h be ((-73224)/(-528))/(261/12). Let z = h - 90/29. Suppose 8/11 - 34/11*f**2 - 10/11*f**4 + 0*f + z*f**3 = 0. What is f?
-2/5, 1, 2
Let b(r) = r**4 + r - 10*r**3 + r + 4*r**2 - r**2. Let y(w) = 9*w**3 - 3*w**2 - 3*w. Suppose 0 = 3*s + 13 - 4. Let z(p) = s*b(p) - 4*y(p). Factor z(k).
-3*k*(k - 1)*(k + 1)*(k + 2)
Suppose -32 + 14 = -9*p. Solve -15*x**2 + 4*x**3 + 10*x**4 + 18 - 70*x - 80*x + p*x**5 - 13*x**2 + 144*x = 0 for x.
-3, -1, 1
Let j(v) be the second derivative of 3*v**5/20 + 60*v**4 + 239*v**3/2 - v - 1932. Factor j(h).
3*h*(h + 1)*(h + 239)
Let m(i) be the first derivative of 0*i - 2/3*i**2 + 28 - 1/9*i**3. Fact
|
{
"pile_set_name": "DM Mathematics"
}
|
5003 = -2*z - 0*r - 3*r. Let u be z/(4 + -2)*-8. Round u to the nearest one hundred thousand.
500000
Let q(h) = h**3 - h**2 + 2*h - 8. Let n be q(7). Round n to the nearest one hundred.
300
Let r = 2 - -1. Suppose r*z = -0*z - 9, -s - 46985 = -5*z. Round s to the nearest 10000.
-50000
Let g(l) = -699999*l + 5. Let i = 7 - 5. Suppose 2*d + 3*k = -1, -i*d = -k + 5*k - 2. Let n be g(d). Round n to the nearest 1000000.
4000000
Suppose 2*z = -3*x + 3*z - 6903, -x = -z + 2303. Round x to the nearest one thousand.
-2000
Let h = 1400 + -1406.01. Let y = -0.09 + -5.91. Let a = h - y. Round a to 2 decimal places.
-0.01
Let h = 4019.556 + -4021.376081. Let f = h + 1.82. What is f rounded to five decimal places?
-0.00008
Let v = -21 - -116. Let f = v - 67. Let j = -27.99989 + f. Round j to 4 dps.
0.0001
Let t(o) = 28*o**2 + 5*o - 7. Let x be t(7). What is x rounded to the nearest 100?
1400
Let f = -0.047 + -28.953. Let t = 28.99971 + f. Round t to four dps.
-0.0003
Let t = 3039 + -4259. What is t rounded to the nearest 100?
-1200
Suppose u - 10970 = -u. Let y = -21863 + 8378. Let x = y + u. Round x to the nearest one thousand.
-8000
Let p = 6 + -4. Let o(u) = 376*u**3 - 2*u**2 - u + 2. Let h be o(p). What is h rounded to the nearest 10000?
0
Let y = -43681472.1 - -43681431.0999906. Let o = -41 - y. What is o rounded to six dps?
0.000009
Let c = 72.7 + 5.3. Let x = c + -55. Let k = 23.00000072 - x. What is k rounded to seven decimal places?
0.0000007
Let f = 7 - 6.99999964. Round f to seven decimal places.
0.0000004
Let y(m) = -1350*m**3 - 2*m**2 - 3*m - 2. Let t be y(-2). Suppose -t = 4*g - 4*l, -g + 2*l + 2*l = 2696. What is g rounded to the nearest 1000?
-3000
Let m = -4206987153 - -554869381. Let j = 3652117748.00000093 + m. Let g = -24 - j. What is g rounded to 7 decimal places?
-0.0000009
Suppose 0 = 2*q - 155 + 1531. What is q rounded to the nearest one hundred?
-700
Let i = 2 + 3.75. Let x = i - 6. Round x to 1 dp.
-0.3
Let n = 5.12112 + -0.09812. Let f = n - 5. Let x = 0.0230031 - f. Round x to 6 decimal places.
0.000003
Let m = -1.1 + 1.1. Let b = m - 0.03. Round b to one dp.
0
Let q = 308732521.887 - 315132127.88743. Let w = q + 6399693. Let b = 87 - w. What is b rounded to 4 decimal places?
0.0004
Let g(c) = 63*c**2 + 3*c - 8. Let f be g(6). Let v = f + 15722. Round v to the nearest ten thousand.
20000
Let v = 17213 + -15317.1. Let n = 1995 - v. Let u = n + -109. What is u rounded to the nearest integer?
-10
Let q = 3598668 + 852770. Suppose 0 = -5*p - 4*k + 5564265, -p + 5*p - q = 2*k. Let r = p - 1572857. Round r to the nearest one hundred thousand.
-500000
Let h = -37116.730022 + 37117. Let i = -0.3 - -0.57. Let w = h - i. Round w to five dps.
-0.00002
Let o(u) be the first derivative of u**4/4 - 4*u**3/3 + u**2/2 - 1. Let n be o(4). Suppose -165 = -5*m - p - 2*p, n*p = m - 56. Round m to the nearest 10.
40
Let b = -53 - -3. Let r = -31 - b. Let t = -18.924 + r. Round t to 2 decimal places.
0.08
Let h = 0.45 + -0.9. Let r = h + 0.4500069. What is r rounded to six decimal places?
0.000007
Suppose -5*p = -2*q - 158, 0 = 4*q + 5*p - 0*p + 346. Let w = 175 + q. Round w to the nearest ten.
90
Let s = -0.108 - -0.107941. Round s to 5 dps.
-0.00006
Let i = 0.05 - -0.55. Let h = 0.9 - i. Let f = h + -0.3000032. Round f to 6 decimal places.
-0.000003
Let a be 6/4*(-23731296)/(-18). Suppose -3*c + 6327608 - a = 0. Round c to the nearest one hundred thousand.
1500000
Let m = -355486282 + 355482993.06062. Let z = m - -3289. Let j = z + -0.06. Round j to 4 dps.
0.0006
Let l = 1.63 - 1.7. Let m = -0.12 - l. Round m to 2 decimal places.
-0.05
Let u = 14 - 13.52. Let x = -0.4800124 + u. What is x rounded to six decimal places?
-0.000012
Let b = 24 - 23.9999783. What is b rounded to six dps?
0.000022
Let u = 3275574 - 1958215. Suppose u = -5*j - 332641. Round j to the nearest one hundred thousand.
-300000
Let h = 209 + -439. What is h rounded to the nearest 100?
-200
Let c = -8 + 7.999879. What is c rounded to 5 decimal places?
-0.00012
Let y = 47.575 - 38.6. Let s = 9 - y. What is s rounded to two decimal places?
0.03
Let k = 1 + -0.9999996. Round k to six dps.
0
Let h = 27.9999942 + -28. What is h rounded to six decimal places?
-0.000006
Let j = -3815 + 3807.571. Let m = 7.4 + j. Round m to two decimal places.
-0.03
Let u(t) = 2188*t**3 - 10*t**2 + 2*t - 8. Let q be u(7). Suppose g + q = -2*g. What is g rounded to the nearest one hundred thousand?
-300000
Let r = -5.4 - 1.6. Let a = r - -6.97. Let z = a + 0.04. Round z to one dp.
0
Let l = 226196 + -103196. Round l to the nearest ten thousand.
120000
Let y = -211344.942 + 211340.24200135. Let r = y + 4.7. What is r rounded to 7 dps?
0.0000014
Suppose 3*l = 381706 + 612782. Let t = l + 238504. What is t rounded to the nearest one hundred thousand?
600000
Let m = -0.25 - -0.38. Let y = 2.1 - m. Round y to one dp.
2
Let d = -0.02109 - -0.024. What is d rounded to four decimal places?
0.0029
Let b = -34.628909 - -34.4489. Let l = -0.18 - b. What is l rounded to five decimal places?
0.00001
Suppose -3*a - 15 = -6*a. Suppose -5*m = -4*i - 13 - 2321, -a*m = -i - 2346. Round m to the nearest 100.
500
Let n = 2.991092 - -0.051008. Let j = 1.6395 - n. Let o = -1.4 - j. What is o rounded to three decimal places?
0.003
Let o(c) = -280590*c. Let r be o(-2). Suppose -602475 - r = -5*j. Suppose 0 = 3*d - j - 847269. What is d rounded to the nearest 100000?
400000
Let z = -3 + 3. Suppose -3*j + 31903059 + 7696941 = z. Round j to the nearest 1000000.
13000000
Let v = 8.54 + -0.04. What is v rounded to the nearest integer?
9
Let z = -1616.68 - -1449. Let a = z + 164. Let k = -0.22 + a. Round k to the nearest integer.
-4
Let y be (-4)/6 + 154/(-21). Let t = 13 + y. Suppose 2*i + 92008 = -3*s + s, 0 = -5*s + t*i - 229980. Round s to the nearest 10000.
-50000
Let u = -0.54 + 0.5. What is u rounded to two decimal places?
-0.04
Let x(d) = 2*d - 3*d**3 + 3*d**2 - d**2 + 2*d**3 - 4. Let k be x(3). Round k to the nearest integer.
-7
Let o(b) = 5 + 0 + 7 + 30002*b. Let m be o(-6). Round m to the nearest 100000.
-200000
Let g be (-24)/(-16) - (1 + (-2220003)/(-6)). What is g rounded to the nearest one hundred thousand?
-400000
Let v = -0.02 - -33.02. Let i = -541753562.9999951 - -541753530. Let t = i + v. What is t rounded to six dps?
0.000005
Let y(x) = x**2 - 8*x + 2. Let q be y(3). Let d = -9 - q. Suppose d = l - 2. What is l rounded to the nearest integer?
6
Suppose -a + 5*c + 25980 = 0, -23 = -5*c - 3. Round a to the nearest 10000.
30000
Let u = -18 + 18.07. Let m = -0.19 + u. Round m to one dp.
-0.1
Suppose -2*k = -8, -2*z + 25102 + 68868 = -4*k. Suppose 57007 = 2*j - z. Suppose -j = -3*t - t. What is t rounded to the nearest ten thousand?
10000
Let w = 0.084 + -0.055. Let m = -306 - -305.9681. Let q = w + m. What is q rounded to 3 decimal places?
-0.003
Let n = 4.4 + -0.4. Let d = n + 0.1. What is d rounded to zero dps?
4
Let p = 0.039 - 0.0364. What is p rounded to three dps?
0.003
Let o = -29 + 31. Let s = 29109904 - 9573057. Suppose 24400006 = -2*l - 3*p, -o*l - 4863149 - s = -2*p. What is l rounded to the nearest one million?
-12000000
Let x(l) = -l**3 + 8*l**2 - 8*l - 10. Let s be x(7). What is s rounded to the nearest 10?
-20
Let i be 0/8 + 4 + -1. Suppose 123 = -i*r - 81. Round r to the nearest 10.
-70
Suppose 0 = 3*t - 5*t + 4, -2*t = a + 77696. What is a rounded to the nearest 10000?
-80000
Let r = -10.6 - -0.6. Let h = r + 9.999958. Round h to 5 decimal places.
-0.00004
Let o(j) = 3*j**3 + 4*j**2 - 5*j + 4. Let f be o(5). Let u = -1394 + f. Round u to the nearest one hundred.
-900
Suppose 2*i - 3219996 = -2*v, 2*v = -i - 261571 + 1871567. What is i rounded to the nearest 100000?
1600000
Suppose -4*a + 73 = 3*t - 9*a, -3*t - 3*a = -81. Suppose 3*c - b = -1115, t = 4*b + 6. Round c to the nearest 100.
-400
Let g = -6.301 - -6.4. What is g rounded to two decimal places?
0.1
Let l = 2881.669 - 2889. Let z = 7.3 + l. What is z rounded to 2 dps?
-0.03
Let d = -1167153474 + 1167153348.0000134. Let u = d - -126. What is u rounded to six decimal places?
0.000013
Let a be -1 + 4 - (-5 + 4). Suppose a*c = -3*p + 15600012, 4*p + 0*p - 20799988 = 4*c. Round p to the nearest one million.
5000000
Let l = 9 + -8.999952. Round l
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Is 15 a factor of 42183120?
True
Is 16 a factor of 32144251?
False
Is 266 a factor of 4513800018?
True
Is 115755500 a multiple of 25?
True
Is 773469000 a multiple of 1458?
True
Does 163 divide 302967819?
False
Does 1966 divide 37806565?
False
Is 269704643 a multiple of 731?
True
Is 77 a factor of 7337914081?
False
Is 771030 a multiple of 14?
False
Is 221755584 a multiple of 14?
False
Does 2465 divide 266971825?
True
Is 88608195 a multiple of 377?
True
Is 10016 a factor of 2121589120?
True
Is 337 a factor of 9531145?
False
Is 94893925 a multiple of 25?
True
Is 885 a factor of 178372635?
True
Does 2165 divide 37367539?
False
Does 3 divide 863621868?
True
Is 412988808 a multiple of 3716?
True
Is 35749260 a multiple of 114?
True
Is 5854942 a multiple of 25?
False
Is 85806511 a multiple of 5?
False
Is 20992544 a multiple of 16?
True
Does 360 divide 75664800?
True
Does 43 divide 40357798?
False
Is 22572080 a multiple of 575?
False
Is 797 a factor of 1097660877?
False
Is 8 a factor of 233142628?
False
Does 18 divide 35372808?
True
Is 4474 a factor of 683305090?
False
Is 10392657 even?
False
Does 34 divide 1922886966?
True
Does 695 divide 3026165?
False
Is 25 a factor of 77359475?
True
Does 2382 divide 41858886?
True
Is 2457071 a multiple of 61?
False
Is 436 a factor of 68237488?
True
Does 1163 divide 56870700?
True
Is 976806011 a multiple of 1992?
False
Does 633 divide 58945593?
True
Is 46895621 a multiple of 208?
False
Is 25 a factor of 2138662?
False
Is 27 a factor of 1130821931?
False
Is 52319167 a multiple of 14?
False
Is 13 a factor of 1951672307?
True
Is 21978197 a multiple of 2460?
False
Does 130 divide 5049231649?
False
Does 672 divide 1182683040?
True
Is 277992312 a multiple of 3122?
False
Is 16008375 a multiple of 75?
True
Is 62 a factor of 122619260?
True
Does 139 divide 133433739?
False
Is 54 a factor of 264617928?
True
Is 23 a factor of 582094446?
False
Is 4815734808 a multiple of 612?
False
Is 1181 a factor of 209228676?
False
Is 9 a factor of 7616002?
False
Does 87 divide 15626853?
True
Does 40 divide 178491356?
False
Is 3117 a factor of 780776046?
False
Is 23612288 a multiple of 64?
True
Is 554 a factor of 1715668750?
True
Is 347 a factor of 625085106?
True
Is 590267991 a multiple of 19?
False
Is 417 a factor of 103759608?
True
Is 748 a factor of 2827870619?
False
Is 971120304 a multiple of 44?
True
Is 32 a factor of 2292985525?
False
Is 542 a factor of 114023792?
True
Does 661 divide 39427160?
False
Is 19200940 a multiple of 15?
False
Is 693175015 a multiple of 7725?
False
Is 29 a factor of 73209139?
False
Does 311 divide 1535660?
False
Is 356 a factor of 32760987?
False
Does 1982 divide 46749674?
False
Is 290763132 a multiple of 12?
True
Is 41739302 a multiple of 5?
False
Is 97268800 a multiple of 612?
False
Is 72107434 a multiple of 7?
True
Does 6 divide 94518096?
True
Does 218 divide 302023958?
True
Is 1387725 a multiple of 7?
False
Is 475052654 a multiple of 14?
False
Is 229 a factor of 668202382?
False
Is 528 a factor of 604942140?
False
Does 693 divide 7620228?
True
Does 23 divide 1657852617?
False
Is 26 a factor of 492982828?
True
Is 577731150 a multiple of 150?
True
Is 37 a factor of 303250705?
True
Is 743299520 a multiple of 80?
True
Does 13 divide 273727010?
False
Does 239 divide 364662596?
False
Is 12962716 a multiple of 3?
False
Is 98082180 a multiple of 22?
False
Is 43866709 a multiple of 18?
False
Is 840 a factor of 18461346?
False
Is 3027051650 a multiple of 28?
False
Is 396527063 a multiple of 579?
False
Is 9 a factor of 154185723?
True
Is 8770430 a multiple of 734?
False
Is 45 a factor of 2707882?
False
Does 65 divide 2639716625?
True
Is 2 a factor of 84732603?
False
Does 19 divide 7223401?
True
Does 1009 divide 15627502?
False
Is 32 a factor of 4503776?
True
Is 15720926 a multiple of 13?
True
Is 31 a factor of 67761562?
False
Does 32 divide 57008416?
True
Does 39 divide 37160539?
False
Does 195 divide 1368292380?
True
Is 3 a factor of 34817243?
False
Is 1381871241 a multiple of 26?
False
Is 266021228 a multiple of 7920?
False
Is 20164880 a multiple of 31?
True
Does 125 divide 43348600?
False
Is 1745592339 a multiple of 9?
False
Does 9 divide 1371107836?
False
Is 17623562 a multiple of 62?
True
Is 1095 a factor of 65775606?
False
Does 95 divide 143305125?
True
Is 96227084 a multiple of 37?
True
Is 2082 a factor of 161419542?
True
Does 20 divide 315531720?
True
Does 58 divide 865559007?
False
Does 766 divide 583974654?
True
Does 21 divide 27011734?
False
Is 738668516 a multiple of 2801?
True
Is 207 a factor of 3918717?
True
Is 343 a factor of 646620272?
False
Is 1505 a factor of 3287797?
False
Does 1962 divide 78156270?
True
Is 82324045 a multiple of 5?
True
Does 1064 divide 4036333229?
False
Does 34 divide 1313501480?
False
Is 15 a factor of 294661381?
False
Does 225 divide 362678075?
False
Is 84375333 a multiple of 4424?
False
Does 16 divide 245384032?
True
Is 23 a factor of 103146036?
False
Does 277 divide 14875376?
False
Is 42338331 a multiple of 16?
False
Is 123 a factor of 4262447904?
True
Does 3536 divide 209670656?
True
Does 575 divide 397534875?
True
Is 5096 a factor of 882350360?
False
Is 27 a factor of 20156300?
False
Is 71 a factor of 75152577?
True
Does 1219 divide 1247088879?
False
Does 169 divide 76050?
True
Does 2 divide 246054503?
False
Is 10 a factor of 77266780?
True
Is 116130424 a multiple of 3?
False
Does 7 divide 31339504?
True
Does 1357 divide 1367493681?
True
Is 2208 a factor of 290347712?
False
Does 445 divide 134448295?
True
Is 34 a factor of 93726972?
False
Is 3586777 a multiple of 14?
False
Is 87 a factor of 4815871080?
True
Does 1991 divide 1610896460?
False
Is 170 a factor of 267666579?
False
Does 9 divide 3572894790?
True
Is 98352038 even?
True
Is 773 a factor of 64740906?
False
Does 13 divide 68104193?
False
Is 313 a factor of 2891494?
True
Is 50 a factor of 530980299?
False
Is 15 a factor of 35946790?
False
Is 247 a factor of 191410674?
True
Does 725 divide 1600756500?
True
Is 5670950411 a multiple of 6367?
False
Is 21 a factor of 179020466?
False
Is 22 a factor of 276039402?
False
Is 75596801 a multiple of 133?
True
Is 498061387 a multiple of 25?
False
Is 12962259 a multiple of 7?
False
Does 15 divide 193891168?
False
Is 2 a factor of 59298081?
False
Does 31 divide 50512726?
False
Is 17 a factor of 150658468?
False
Is 45 a factor of 11730690?
True
Does 13 divide 663739398?
False
Does 1108 divide 1429325540?
True
Does 37 divide 269096819?
True
Is 2004237972 a multiple of 198?
True
Is 1323 a factor of 11818359?
True
Is 3421 a factor of 423803743?
True
Is 30703165 a multiple of 106?
False
Is 1922 a factor of 13759598?
True
Does 23 divide 22024294?
True
Does 33 divide 7692069?
True
Does 4462 divide 1353413840?
True
Is 567 a factor of 548127405?
True
Does 99 divide 60518898?
True
Is 177 a factor of 695408751?
True
Is 91 a factor of 1400654204?
False
Is 393 a factor of 574911394?
False
Is 955847554 a multiple of 59?
True
Does 10 divide 555622170?
True
Is 22949570 a multiple of 35?
True
Does 12 divide 226753005?
False
Is 86 a factor of 22713718?
True
Does 889 divide 769874889?
True
Is 607 a factor of 596600876?
True
Is 6 a factor of 1158594?
True
Is 1052 a factor of 1036480896?
True
Is 185 a factor of 41925255?
True
Is 485591761 a multiple of 886?
False
Does 1319 divide 523293482?
False
Does 19 divide 22835701?
True
Is 3618568 a multiple of 9?
False
Is 756 a factor of 8899772?
False
Does 30 divide 28821900?
True
Is 91042291 a multiple of 130?
False
Does 3003 divide 290858680?
False
Does 788 divide 52774277?
False
Is 82076119 a multiple of 62?
False
Does 40 divide 127598080?
True
Does 931 divide 115407648?
False
Is 9 a factor of 359136?
True
Is 7641281 a multiple of 15?
False
Is 18 a factor of 113938542?
True
Does 8 divide 29860712?
True
Does 248 divide 160704381?
False
Is 64060207 a multiple of 23?
False
Does 1282 divide 678205719?
False
Is 99 a factor of 1090812690?
True
Does 38 divide 1488333042?
True
Does 168 divide 12200160?
True
Does 1233 divide 19339886?
False
Is 2367085925 a multiple of 1162?
False
Is 41 a factor of 10967336?
True
Does 120 divide 5253000?
True
Does 736 divide 2801952?
True
Is 83055176 a multiple of 1605?
False
Is 10923 a factor of 990421179?
True
Is 140 a fac
|
{
"pile_set_name": "DM Mathematics"
}
|
5141, -10072, -15003, -19934, -24865?
-4931*x - 210
What is the n'th term of 919, 4320, 13551, 31528, 61167?
486*n**3 - n**2 + 2*n + 432
What is the w'th term of 42, 107, 200, 333, 518, 767, 1092, 1505?
2*w**3 + 2*w**2 + 45*w - 7
What is the f'th term of 1199, 1711, 2223, 2735, 3247, 3759?
512*f + 687
What is the p'th term of 928, 913, 882, 829, 748?
-p**3 - 2*p**2 - 2*p + 933
What is the n'th term of 1689, 6704, 15061, 26760, 41801, 60184, 81909?
1671*n**2 + 2*n + 16
What is the v'th term of -12652, -12675, -12722, -12799, -12912, -13067?
-v**3 - 6*v**2 + 2*v - 12647
What is the f'th term of -1315, -4994, -11139, -19756, -30851, -44430, -60499, -79064?
-f**3 - 1227*f**2 + 9*f - 96
What is the y'th term of 514495, 514498, 514503, 514510?
y**2 + 514494
What is the b'th term of 52, 653, 2314, 5563, 10928?
88*b**3 + 2*b**2 - 21*b - 17
What is the c'th term of -26275, -52540, -78805, -105070?
-26265*c - 10
What is the k'th term of -4179921, -4179921, -4179923, -4179927, -4179933, -4179941?
-k**2 + 3*k - 4179923
What is the d'th term of 13, 57, 131, 235?
15*d**2 - d - 1
What is the t'th term of -29284, -58568, -87852?
-29284*t
What is the l'th term of 117420, 234838, 352256, 469674, 587092, 704510?
117418*l + 2
What is the v'th term of 64, 234, 508, 886, 1368?
52*v**2 + 14*v - 2
What is the s'th term of 239, 417, 603, 803, 1023, 1269, 1547?
s**3 - 2*s**2 + 177*s + 63
What is the v'th term of 334, 279, 130, -161, -642, -1361, -2366?
-8*v**3 + v**2 - 2*v + 343
What is the b'th term of -4779, -9275, -13773, -18273, -22775, -27279, -31785?
-b**2 - 4493*b - 285
What is the l'th term of 1946, 3886, 5826?
1940*l + 6
What is the l'th term of -302, -632, -962, -1292, -1622?
-330*l + 28
What is the c'th term of -49229, -49214, -49171, -49088, -48953?
2*c**3 + 2*c**2 - 5*c - 49228
What is the d'th term of 1657, 3284, 4911, 6538?
1627*d + 30
What is the u'th term of -155168, -155162, -155154, -155144, -155132?
u**2 + 3*u - 155172
What is the m'th term of 891, 3564, 8017, 14244, 22239, 31996, 43509, 56772?
-m**3 + 896*m**2 - 8*m + 4
What is the o'th term of -273, -233, -195, -159, -125, -93?
-o**2 + 43*o - 315
What is the i'th term of 692, 1399, 2120, 2855, 3604?
7*i**2 + 686*i - 1
What is the i'th term of 34194, 68409, 102658, 136959, 171330, 205789, 240354, 275043?
3*i**3 - i**2 + 34197*i - 5
What is the q'th term of 522, 519, 516, 513?
-3*q + 525
What is the a'th term of -1586, -6057, -13400, -23609, -36678, -52601, -71372?
a**3 - 1442*a**2 - 152*a + 7
What is the i'th term of 3749, 3723, 3697, 3671, 3645, 3619?
-26*i + 3775
What is the c'th term of -1788, -3570, -5342, -7098, -8832, -10538, -12210, -13842?
c**3 - c**2 - 1786*c - 2
What is the g'th term of 169216, 169217, 169218?
g + 169215
What is the i'th term of 37697, 37694, 37691?
-3*i + 37700
What is the p'th term of 12906, 25812, 38718, 51624?
12906*p
What is the i'th term of 3246, 6484, 9720, 12948, 16162, 19356, 22524?
-i**3 + 5*i**2 + 3230*i + 12
What is the v'th term of -956290, -956286, -956280, -956272?
v**2 + v - 956292
What is the f'th term of 226106, 226103, 226086, 226049, 225986, 225891, 225758, 225581?
-f**3 - f**2 + 7*f + 226101
What is the u'th term of 69096, 138185, 207278, 276375?
2*u**2 + 69083*u + 11
What is the z'th term of -449874, -899762, -1349650?
-449888*z + 14
What is the a'th term of 21, -305, -1195, -2931, -5795, -10069?
-47*a**3 + 3*a + 65
What is the m'th term of 1640, 13765, 46676, 110765, 216424, 374045, 594020, 886741?
1732*m**3 + m**2 - 2*m - 91
What is the y'th term of 91, 410, 941, 1678, 2615, 3746, 5065, 6566?
-y**3 + 112*y**2 - 10*y - 10
What is the j'th term of -28679, -28675, -28667, -28655, -28639?
2*j**2 - 2*j - 28679
What is the a'th term of -76, -445, -814, -1183?
-369*a + 293
What is the g'th term of -49737, -49738, -49739, -49740, -49741, -49742?
-g - 49736
What is the o'th term of -1569, -1579, -1603, -1647, -1717, -1819, -1959?
-o**3 - o**2 - 1567
What is the t'th term of 23226, 23226, 23238, 23268, 23322, 23406?
t**3 - 7*t + 23232
What is the m'th term of -1685, -1697, -1719, -1751, -1793, -1845?
-5*m**2 + 3*m - 1683
What is the i'th term of -14153, -28301, -42449, -56597, -70745?
-14148*i - 5
What is the w'th term of 90, 387, 886, 1587, 2490, 3595, 4902?
101*w**2 - 6*w - 5
What is the q'th term of 28203, 56403, 84601, 112797, 140991, 169183?
-q**2 + 28203*q + 1
What is the g'th term of 154, 201, 268, 355, 462, 589, 736?
10*g**2 + 17*g + 127
What is the y'th term of -198903, -198902, -198901, -198900, -198899?
y - 198904
What is the t'th term of 134829, 269657, 404485, 539313, 674141, 808969?
134828*t + 1
What is the h'th term of -8, 121, 532, 1363, 2752?
23*h**3 + 3*h**2 - 41*h + 7
What is the n'th term of -165, -271, -377, -483, -589?
-106*n - 59
What is the y'th term of -843, -825, -795, -753?
6*y**2 - 849
What is the m'th term of -10069, -20166, -30277, -40408, -50565, -60754?
-m**3 - m**2 - 10087*m + 20
What is the y'th term of -81415, -162833, -244251, -325669, -407087?
-81418*y + 3
What is the w'th term of -3923, -3914, -3869, -3770, -3599, -3338, -2969?
3*w**3 - 12*w - 3914
What is the k'th term of 12048, 24097, 36160, 48243, 60352, 72493?
k**3 + k**2 + 12039*k + 7
What is the p'th term of 170079, 340174, 510267, 680358, 850447, 1020534?
-p**2 + 170098*p - 18
What is the a'th term of -6631, -6630, -6629?
a - 6632
What is the w'th term of -271, -261, -241, -211, -171, -121?
5*w**2 - 5*w - 271
What is the r'th term of -108, 180, 1102, 2976, 6120, 10852, 17490, 26352?
53*r**3 - r**2 - 80*r - 80
What is the f'th term of -216, -140, 78, 510, 1228, 2304, 3810?
12*f**3 - f**2 - 5*f - 222
What is the l'th term of 17975, 17960, 17925, 17864, 17771?
-l**3 - 4*l**2 + 4*l + 17976
What is the d'th term of 230, 884, 1994, 3572, 5630, 8180, 11234?
2*d**3 + 216*d**2 - 8*d + 20
What is the n'th term of -278954, -557912, -836870, -1115828?
-278958*n + 4
What is the r'th term of 390, 562, 1074, 2112, 3862?
31*r**3 - 16*r**2 + 3*r + 372
What is the x'th term of 1146, 1929, 2712, 3495?
783*x + 363
What is the j'th term of 235692, 471382, 707072, 942762, 1178452?
235690*j + 2
What is the r'th term of 1064, 1045, 1026, 1007, 988, 969?
-19*r + 1083
What is the c'th term of -464, -318, -172, -26, 120?
146*c - 610
What is the b'th term of 79645, 79644, 79643, 79642?
-b + 79646
What is the m'th term of 278, 1082, 2406, 4238, 6566?
-2*m**3 + 272*m**2 + 2*m + 6
What is the f'th term of 737, 2348, 4839, 8210, 12461, 17592, 23603?
440*f**2 + 291*f + 6
What is the y'th term of -6069, -6079, -6103, -6147, -6217?
-y**3 - y**2 - 6067
What is the r'th term of -67, -134, -47, 356, 1237, 2758?
27*r**3 - 85*r**2 - r - 8
What is the h'th term of -1284606, -1284605, -1284604, -1284603, -1284602, -1284601?
h - 1284607
What is the m'th term of -1155, -2135, -3115, -4095?
-980*m - 175
What is the g'th term of 253, 340, 275, 64, -287?
g**3 - 82*g**2 + 326*g + 8
What is the x'th term of -4643, -4634, -4625, -4616, -4607?
9*x - 4652
What is the k'th term of 432, 687, 928, 1149, 1344?
-k**3 - k**2 + 265*k + 169
What is the t'th term of -2036, -2058, -2096, -2150, -2220, -2306?
-8*t**2 + 2*t - 2030
What is the g'th term of 5, -47, -235, -643, -1355, -2455, -4027, -6155?
-14*g**3 + 16*g**2 - 2*g + 5
What is the c'th term of -569, 290, 1149, 2008?
859*c - 1428
What is the v'th term of -5995, -24136, -54375, -96718, -151171, -217740, -296431, -387250?
-v**3 - 6043*v**2 - 5*v + 54
What is the a'th term of -55, -52, 23, 182, 437?
2*a**3 + 24*a**2 - 83*a + 2
What is the o'th term of 18, -45, -144, -279, -450?
-18*o**2 - 9*o + 45
What is the z'th term of 274238, 274234, 274230, 274226, 274222?
-4*z + 274242
What is the c'th term of 312, 680, 1048, 1416, 1784?
368*c - 56
What is the c'th term of 2260, 2376, 2492, 2608?
116*c + 2144
What is the l'th term of 2009, 7809, 17483, 31037, 48477?
l**3 + 1931*l**2 + 77
What is the w'th term of 1452, 1499, 1630, 1887, 2312, 2947, 3834?
7*w**3 - 2*w + 1447
What is the a'th term of 7402, 29613, 66640, 118483, 185142, 266617, 362908?
7408*a**2 - 13*a + 7
What is the l'th term of -276, -432, -472, -396, -204?
58*l**2 - 330*l - 4
What is the d'th term of -3253, -6533, -9813, -13093, -16373?
-3280*d + 27
What is the h'th term of 200854, 200849, 200832, 200797, 20
|
{
"pile_set_name": "DM Mathematics"
}
|
7.3. Round g to zero dps.
8
Suppose 5*f + 3*y = 82, -2*f = -2*y + 3*y - 32. Suppose -f*t - 4961636 = -187636. What is t rounded to the nearest ten thousand?
-340000
Let m be 4 + -2*(-861152)/(-4). Let x = m - -1040572. What is x rounded to the nearest one hundred thousand?
600000
Suppose 0 = 3*f - 2*f + 1096301. Let p = -726301 - f. Round p to the nearest one hundred thousand.
400000
Let r be -9170*(-5)/(20/1582). Let v = 1496735 - r. Round v to the nearest 100000.
-2100000
Let w = 5965 - 5955.769. Round w to 0 dps.
9
Let c(a) be the first derivative of -a**4/2 + 2*a**3 - 3*a - 2. Let y be c(4). Let m = y - -735. Round m to the nearest 1000.
1000
Let c = -677334 + 676973.291. Let d = c - -361. Let k = -0.27 + d. Round k to two decimal places.
0.02
Let l = 25.816 + 2.804. Let f = -29 + l. Let k = 1.97 + f. Round k to one dp.
1.6
Let l = 566 - 566.000001255. Round l to 7 decimal places.
-0.0000013
Let r = -0.317 + 0.117. Let b = 0.199859 + r. Round b to five decimal places.
-0.00014
Let j = -49.966 - -50. Let k = j - 3.164. Round k to the nearest integer.
-3
Let s = 0.65832 + -0.714. Round s to 2 decimal places.
-0.06
Let j = -19496455.0361 + 19496545.036099827. Let v = 90 - j. Round v to seven decimal places.
0.0000002
Let b = -1037 + 1037.0373. Round b to 3 dps.
0.037
Let d(v) = 181*v + 6. Let j(b) = -3*b + 2. Let h be j(5). Let p = 7 + h. Let i be d(p). What is i rounded to the nearest 100?
-1100
Let i = 248.1 + -246. Round i to the nearest ten.
0
Let c(z) = 1007*z + 11. Let x be c(6). Let d = 5547 + x. What is d rounded to the nearest one thousand?
12000
Let u = -4204800 + -4435200. What is u rounded to the nearest 1000000?
-9000000
Let o be 1575/2 - (-1)/2. Let w = -2200 - -3388. Let p = o - w. What is p rounded to the nearest one hundred?
-400
Suppose 3*t - 5*g = -305 + 2340, 3*g + 2031 = 3*t. Suppose t - 2259 = 4*k. Round k to the nearest ten.
-400
Let d = 8095794 - 3960471. Let q = d - 2195323. Round q to the nearest one hundred thousand.
1900000
Let q = 4.7 - -0.3. Let j = q - 5.104. Round j to 1 dp.
-0.1
Let q = -3.7797904 + 3.78. Round q to five dps.
0.00021
Suppose -30239996 = -3*u + 2*q, -2*u - 3*q + 20159996 = -5*q. Round u to the nearest 1000000.
10000000
Let j = -11 - -6. Let z(q) = 2*q + 9. Let w be z(j). Let k be (0 + w)*(-5 + 5). Round k to the nearest one hundred thousand.
0
Let r be 40/(-30)*6/4. Let w = r - 36. Round w to the nearest ten.
-40
Let q = 18 + 110. Let g = 120.3 - -1. Let p = q - g. Round p to zero dps.
7
Suppose -3*z + 8*z - 18 = -3*f, -5*f - 5*z = -30. Suppose -3*s + 2*p - 165296 = 0, -2*s + f*s + 220402 = -p. What is s rounded to the nearest 10000?
-60000
Let y = -920.1 + 949. Round y to 0 decimal places.
29
Let x = 20 + -5. Let m = x - 12. Let b = m - -2.4. What is b rounded to zero dps?
5
Let u(p) = -40*p - 24. Let h(g) = 2. Let i(y) = -18*h(y) - 2*u(y). Let c be i(-6). Let b be ((-2)/(-3))/((-8)/c). Round b to the nearest 10.
40
Let u(y) = 314*y - 3. Let g(t) = 941*t - 9. Let j(b) = 3*g(b) - 8*u(b). Let h be j(3). Round h to the nearest 100.
900
Let f = 5.316 - 0.016. Let q = -5.30447 + f. What is q rounded to three decimal places?
-0.004
Let c = -88.67 + 88. Let a = c + 0.861. What is a rounded to two decimal places?
0.19
Suppose 872998 = r - 2*n, 4*r + 10*n - 3492004 = 6*n. What is r rounded to the nearest one million?
1000000
Let s(i) = 50623*i - 16. Let g be s(-8). Round g to the nearest 100000.
-400000
Let c = 451475 - 451108.122. Let m = -366 + c. Let l = 0.98 - m. What is l rounded to 2 dps?
0.1
Let b = -11.9 - -12. Let t = b - 19.1. Let q = t + 18.99956. Round q to four dps.
-0.0004
Suppose 4*j - 3 + 11 = 0. Let b be -3*(j + 1 + 0). Suppose -3*y + 999994 = 2*y + 3*f, b*y - 3*f = 600006. Round y to the nearest one million.
0
Let c = -77.75 + 78. Let u = c - 0.25172. What is u rounded to four decimal places?
-0.0017
Let i(x) = -78031*x**3 + 2*x**2 + 5*x - 4. Let m be i(3). Let r = m - 2493192. What is r rounded to the nearest 1000000?
-5000000
Let n = 0.0855575 - -7.4155825. Let l = 7.5 - n. Round l to four decimal places.
-0.0011
Let c(p) = 2*p - 3209997. Let l(v) = -v - 1. Let t(d) = c(d) + 3*l(d). Let r be t(0). What is r rounded to the nearest one hundred thousand?
-3200000
Let k = 3349.97679 - 3350. What is k rounded to 3 dps?
-0.023
Let i(q) = -86 - 3*q - 1076*q**2 + 9477*q**2 + 76. Let k be i(5). Round k to the nearest one hundred thousand.
200000
Let w = -0.68 - -53.68. Let s = -52.9999908 + w. What is s rounded to 6 dps?
0.000009
Let v = -128134 - -71148. Let u = v + 57094.0228. Let w = -108 + u. Round w to three decimal places.
0.023
Let z = 11 + -7. Let p(u) = -19466*u**2 + 5*u - 3. Let g be p(z). Let i = g + 178439. Round i to the nearest ten thousand.
-130000
Let l = -2 - -107. Let x = -105.0048 + l. What is x rounded to 3 decimal places?
-0.005
Let q = -3828073.0699894 - -3828072. Let t = -1.07 - q. Round t to 6 decimal places.
-0.000011
Let p = 30716085.21999991 + -30716100.22. Let m = p - -15. What is m rounded to seven dps?
-0.0000001
Suppose -90*f + 107*f = 312970. Round f to the nearest one thousand.
18000
Let w be 2/((-2)/((-12)/3)). Suppose -3*p + 7*q = w*q - 9, -4*q = -2*p + 12. Suppose 5*b + 15 = p, -4*b = -2*m + 6 - 28. Round m to the nearest 10.
-20
Let j = 48.7 - 21.8. Let v = 1.9 - j. Let q = -24.99876 - v. What is q rounded to 4 decimal places?
0.0012
Let u = -70.6 + 62. Let c = u - -8.97. Round c to 2 dps.
0.37
Let v = -0.0558067 + 0.0553. Round v to four dps.
-0.0005
Let l = -0.0472 - 0.8388. What is l rounded to 1 decimal place?
-0.9
Let q = 41 - 46.1. Let t = -5.1046 - q. What is t rounded to 3 dps?
-0.005
Let g be 12 - 921007 - (1 + 4). Round g to the nearest one hundred thousand.
-900000
Let r = 406.38105 - 406.1. Let f = 0.28 - r. What is f rounded to 4 dps?
-0.0011
Let y = 227272106 - 227272222.0000162. Let x = y + 116. Round x to six decimal places.
-0.000016
Let g = -0.0408 - -0.037464. What is g rounded to four decimal places?
-0.0033
Let x = -556.00461 + 556. What is x rounded to 4 decimal places?
-0.0046
Let m = -9.72 + -1.28. Let h = -75651.59961 + 75662.6. Let d = h + m. What is d rounded to 4 dps?
0.0004
Let i = 26693774 + -26693803.9999986. Let o = i + 30. What is o rounded to seven decimal places?
0.0000014
Let q(c) = 116*c**3 + 6*c**2 - 3*c - 10. Let n be q(4). Round n to the nearest one thousand.
7000
Suppose k + 4440000 = 3*f, k = 2*f + 2*k - 2960000. What is f rounded to the nearest one million?
1000000
Let i = -86806870.99749 - -86807342. Let y = 471 - i. Round y to 4 decimal places.
-0.0025
Let c = 18419477.00462 + -18419066. Let y = c + -411. What is y rounded to four dps?
0.0046
Let u = -0.636057 + 0.637. Round u to 4 decimal places.
0.0009
Let z = 2837 - 4659. Round z to the nearest 1000.
-2000
Suppose -8*h = -4*l - 3*h + 2358, -3*l - h = -1778. Suppose -o = -0*o + 3*f + 148, 4*o + l = 2*f. Round o to the nearest ten.
-150
Let o be (-270588)/12 - (2 - 1). Let a = -39050 - o. Round a to the nearest one thousand.
-17000
Let f = 75 - 106. Let n = f + 30.61. Round n to 1 decimal place.
-0.4
Let l = 0.028 + -0.508. Round l to 2 decimal places.
-0.48
Suppose 5*t = 3*z + 53023, -194*t + 198*t - 42412 = 4*z. What is t rounded to the nearest 1000?
11000
Let z be (30/8)/(9/24). Let r be 3200/(-6)*(-165)/z. Round r to the nearest 1000.
9000
Let x = -153 - -153.000005. What is x rounded to 7 decimal places?
0.000005
Let c be (7 - 10)/(-4 + 1). Suppose 2*m - c = 23. Let z be 4260/(m/(-400) + 0). What is z rounded to the nearest 10000?
-140000
Let m = 0.073 + 258.927. Let t = m + -210.8. Let v = t + -35. Round v to 0 decimal places.
13
Let y = -829.45 + 822. What is y rounded to 1 dp?
-7.5
Let h = 5.06 - 5. Let m = h + -0.05943. Round m to four dps.
0.0006
Let v = -1.292898 - -1.294. What is v rounded to four decimal places?
0.0011
Let g = -5.7 - 8.3. Let r = -8563 + 8549.036. Let z = g - r. Round z to 2 decimal places.
-0.04
Let c = -0.01799 + 0.017982163. What is c rounded to 7 dps?
-0.0000078
Let k(z) = 2668*z**2 - 5*z + 1. Let h be k(-5). Let t = h + 3275. Let o be -5 + 6 - (t + 0). What is o rounded to the nearest ten thousand?
-70000
Suppose -2*n - 3*f = -15, -n + 5 = -f - 0*f. Suppose 640000 = -2*g + n*g. Let r be (0 + 19)/((-8)/g). What is r round
|
{
"pile_set_name": "DM Mathematics"
}
|
7 = 13. Let x be 2/(-4) - r/6. Suppose -v - 3 + x = 0. Put 4, v, -4 in decreasing order.
4, v, -4
Let w be (14/42)/(2/36). Let d be (0 - w/(-4))/21. Let m = -17/42 + d. Sort m, -5, -0.3 in increasing order.
-5, m, -0.3
Let o be 2 + 0 - (5 - 6 - -18). Let v be (-1 + (-10)/o)*-39. Put -0.2, v, -2/3, 0.2 in decreasing order.
v, 0.2, -0.2, -2/3
Suppose 4*z = -16, 2*h + z = 3*z. Suppose 78 = 5*q + 93. Put -2, 2, h, q in descending order.
2, -2, q, h
Let p = 1925 + -1930. Put -2, 1, p, 5 in descending order.
5, 1, -2, p
Let d = -691 + 689.6. Sort 2, 1/9, d, -3 in decreasing order.
2, 1/9, d, -3
Suppose -2*m - 2*h - h = -160, 4*m = 4*h + 280. Sort m, 5, -3 in decreasing order.
m, 5, -3
Let l = 0 + 0. Suppose 0 = -6*b - 58 + 46. Let s = 3 - b. Put s, l, 1 in ascending order.
l, 1, s
Let k = 83.796 - 84. Let v = k - -0.004. Sort v, -1/20, 0, -2/7 in descending order.
0, -1/20, v, -2/7
Let k = 19/222 - -3/37. Let z = 2.12 + 94.88. Let g = 99 - z. Sort k, 4, g in descending order.
4, g, k
Let s be -14*(49/(-7) + 9). Sort s, 0.5, -0.5 in increasing order.
s, -0.5, 0.5
Let q = 3 + 13. Let m be q + 4 - (1 - -1). Suppose -2*w + m = -4*w. Sort 0, 1, w in increasing order.
w, 0, 1
Let n = 12729/13 - 979. Sort n, 0.5, 85 in increasing order.
n, 0.5, 85
Let i = -883 - -902.11. Let b = -19 + i. Put -1, b, -2 in decreasing order.
b, -1, -2
Let n(g) = -g**3 - 7*g**2 - 4*g - 26. Let y be n(-7). Let h be y/15 - 42/(-63). Sort -5, h, -3 in descending order.
h, -3, -5
Let p = -380 - -378. Sort 0.2, 1.1, p.
p, 0.2, 1.1
Let k = 428 - 403.07. Let p = k - 25. Let c = 38 - 36. Sort c, p, 0.5 in ascending order.
p, 0.5, c
Let x = -1254.4 + 1254. Put x, -7/2, -1, -3/2 in increasing order.
-7/2, -3/2, -1, x
Let m = -96 + 56. Let t be -1 + m/50 + 8/10. Put 3, t, -4, 0 in increasing order.
-4, t, 0, 3
Let r = -129 + 133. Put 0.06, r, -0.2 in decreasing order.
r, 0.06, -0.2
Suppose 2*t - u - 6 = 2*u, 2*t + 10 = -u. Sort 1, -32, -1, t in decreasing order.
1, -1, t, -32
Suppose 0 = -5*a - 10, -2*a = 3*u - a - 7. Sort -2, u, 0, -28 in increasing order.
-28, -2, 0, u
Let z be (-30)/(-40) + (-5)/(-4). Sort z, 3, 20, 4 in decreasing order.
20, 4, 3, z
Let g be 26/(-4) - ((-4)/8 + -1). Let z(n) = n**3 - 8*n**2 + 7*n - 3. Let a be z(7). Let y = 3 - 5. Put a, y, g in ascending order.
g, a, y
Let a(f) = f**2 - 3*f + 3. Let d be a(3). Let j be 3*(-4 + 5) + 14. Suppose -3 = 4*v + j. Sort v, 4, d in descending order.
4, d, v
Let q(u) = -u**2 + 3*u + 41. Let y be q(-4). Sort -2, y, -3, 8 in increasing order.
-3, -2, 8, y
Let t be (-2)/12 + (-19)/(-6). Let l = 1 + t. Suppose l*m = -8 - 4. Sort 3, m, 0 in decreasing order.
3, 0, m
Let z = 21.48 - 21.43. Put -3, 9/8, 2, z in ascending order.
-3, z, 9/8, 2
Let f(o) = o**2 - 4*o - 5. Let c be f(5). Let y be ((7 - -7)/168)/((-2)/(-3)). Sort -3, y, c, -5 in descending order.
y, c, -3, -5
Let o be -1*(12/4)/1. Let m be (-48)/(-4) + (o - 0). Let h = m + -8. Put h, 0, -1 in decreasing order.
h, 0, -1
Let t be (-40)/(-6*5/(-60)). Let k be t/(-16) + (1 - 6). Put 1, k, -4 in ascending order.
-4, k, 1
Let t = 1 - 3. Suppose -3*x - 3*i - 2 = -17, -3*x - 5*i + 13 = 0. Let r(y) = -8*y + 40. Let u be r(x). Put 1, u, t in increasing order.
u, t, 1
Let p = -105 + 108. Sort 1/6, p, -1, 3/5 in descending order.
p, 3/5, 1/6, -1
Let o = 15 - 33. Let j = -15 - o. Sort 2/5, j, -5.
-5, 2/5, j
Let m be (9 - (3 + 6))/(2 - 3). Sort 4, m, -3, -376 in descending order.
4, m, -3, -376
Suppose 0 = 3*a + 2*c - 4*c - 70, 5*a = -4*c + 80. Suppose 4*w - a = -w. Let t = 3 + 0. Sort t, 7, w in decreasing order.
7, w, t
Let g(x) = x**2 + 4*x - 5. Let q be g(-6). Let b = 4/1069 - -5333/3207. Sort -0.5, q, -1/4, b in increasing order.
-0.5, -1/4, b, q
Let g be ((-1)/(-1))/((-18)/(-918)). Sort 2, -2, g, -1 in decreasing order.
g, 2, -1, -2
Let g be ((-4)/(-6))/((-4)/8). Let u = 11 + -11.7. Let h = u + 0.2. Sort g, 0.4, h.
g, h, 0.4
Let n = -5195 + 5194.8. Let h = 114 + -136.2. Let o = -3.2 - h. Put 0.4, o, n in decreasing order.
o, 0.4, n
Suppose -41 = 3*k + h, 6*k - 4*h = 3*k - 46. Let g = 17 + k. Suppose -5*t = -4*o - 27, 0*o = -5*t - 4*o + g. Sort t, 2, 0 in increasing order.
0, 2, t
Let f = 384 - 4226/11. Suppose k - 4*k + 6 = 0. Sort k, f, -0.6.
-0.6, f, k
Suppose 3*i = 6*i - 357. Suppose -4*r + 3*x = i, -2*x = -r + 2*x - 46. Let w = r - -31. Put w, -4, -3 in increasing order.
-4, -3, w
Let u be 5 - (22/2 + -5). Sort -8, u, -3, -4.
-8, -4, -3, u
Let v = -685/7 + 98. Let w = 185.92 + -183. Let r = w - -0.08. Sort v, r, 1/5.
v, 1/5, r
Let u = -17.5 - -17. Let d = 100 - 71. Let n = -34 + d. Sort n, -0.04, u in decreasing order.
-0.04, u, n
Let f(b) = b**2 + b - 14. Let k be f(-4). Sort k, 3, -1, 12.
k, -1, 3, 12
Let z(u) = -2*u**2 - 5*u + 4. Let b be z(-4). Let f(v) = v**2 + 8*v - 6. Let h be f(b). Suppose m + 6 = -2*k + 5*m, 2*m = 0. Sort h, k, 2.
h, k, 2
Let s(r) = -r**3 - 10*r**2 - 3*r - 28. Let q be s(-10). Put -0.07, -5/3, -5, q in decreasing order.
q, -0.07, -5/3, -5
Let x = 2.195 + -7.195. Let u = -5.7 + 7. Let z = u - -3.7. Put z, -2/9, x in increasing order.
x, -2/9, z
Suppose -4*n = 4*y + 4, y + 8*n - 4*n = -13. Suppose w - 6 = y*k + 2, -2*w + 5*k + 13 = 0. Sort w, -12, 1 in decreasing order.
1, w, -12
Let c be (2/(-3))/(10/15). Sort 12.4, c, 0.2, 1/6 in decreasing order.
12.4, 0.2, 1/6, c
Let v = 5078/9465 - 2/631. Put -2, v, -1/5, -0.3 in ascending order.
-2, -0.3, -1/5, v
Let o = -1 + 1. Let s(l) = -2*l + 46. Let d be s(22). Sort 18, o, d, 3 in ascending order.
o, d, 3, 18
Let y be ((-15)/12)/((-2)/(-8)). Let d(l) = -3*l**2 - 155*l + 213. Let a be d(-53). Put y, -16, a in descending order.
a, y, -16
Let x(z) = z**2 - 37*z + 282. Let a be x(11). Sort -1, -44, -5, a in descending order.
-1, a, -5, -44
Let l = -1586 - -1585.94. Let q = 0.5 - -2.5. Put -0.2, l, q in decreasing order.
q, l, -0.2
Let z(a) = a**3 - a**2 + 2*a - 12. Let l be z(3). Put 7, l, -2 in ascending order.
-2, 7, l
Suppose -5*k = 3 + 2. Let w = -0.011 + -0.389. Put w, k, 2 in decreasing order.
2, w, k
Suppose m + 5 = -t - 2, -4*t = 2*m + 24. Let j be -1 - (0 + m - -3). Suppose 0 = n + q, 4*n + 5*q - 10 = n. Put n, -3, j in descending order.
j, -3, n
Suppose 0 = 3*s - 9, -8*l + 4*l = -2*s + 22. Put l, -27, 4 in increasing order.
-27, l, 4
Suppose 2*c = 1 + 1. Let i be ((-23)/(1472/48))/((-18)/(-4)). Put c, i, -2 in decreasing order.
c, i, -2
Let g(c) = c - 7. Let u be g(7). Let n be (-1)/(-1) - (1 - 5). Let r = 110 + -112. Put n, r, u in increasing order.
r, u, n
Suppose -116 = 25*t - 16. Put -2, t, 10 in increasing order.
t, -2, 10
Let d = -1.2124 + 0.1124. Sort d, 0.1, 1/12 in ascending order.
d, 1/12, 0.1
Let v = 97 - 130. Let s = 71/2 + v. Sort -0.1, s, 0.4, -2/9 in descending order.
s, 0.4, -0.1, -2/9
Let z(y) = y**3 + 3*y**2 - y + 1. Let o be z(-4). Let b = o - -10. Put -4, b, 5, 4 in descending order.
5, 4, b, -4
Suppose -w - 3 = -9. Let b be w/10 + (-114)/15. Let t(k) = -k**2 - 6*k + 10. Let l be t(b). Sort l, -0.5, 4 in decreasing order.
4, l, -0.5
Let f = -104.2 + 104. Sort 19, f, -6.
-6, f, 19
Let m be ((-10)/4)/(-1)*(2 - 0). Sort 1, 15, m in increasing order.
1, m, 15
Let c = 103 - 105. Let z = -11 + 2. Let w = -7 - z. Put -1, w, c in descending order.
w, -1, c
Let f(g) = g**3 - 2*g - 1. Let k be f(2). Suppose y = -k*y. Suppose -3*u + 15 - 9 = y. Put u, 5, -2 in descending order.
5, u, -2
Let p = 14 + -17. Let z = 244 - 244.5. Sort z, p, 1 in decreasing order.
1, z, p
Let k = -31 - -18. Suppose q + 14 = -3*m, 1 + 1 = -m - q. Let a be (-1)/(-1)*(-7 - m). Sort k, a, 5.
k, a, 5
Let z be -5*(-1)/(-2)*(-234)/117. Sort z, -3, -5, -8 in ascending order.
-8, -5, -3, z
Let u = -23 - -23.47. Let r = u - 0.77. Put r, -2/9, 1/3 in increasing order.
r, -2/9, 1/3
Let y = 170.5 - 215. Let x = -44 - y. Put x, 1, 2 in increasing order.
x, 1, 2
Let h = 359/1890 - 16/135. Put h, 0.4, -2/3 in descending order.
0.4, h, -2/3
Suppose -2*w + 2*h - h = -6, 0 = 3*w + h - 14. Suppose 8 = w*x + 3*n - 4*n, x = -2*n + 11. Put -3, x, -5 in descending order.
x, -3, -5
Let x = -3.02 - -3.06. Let f = -0.8 + -0.2. Let r = f - 1. Put r, 1/3, x in decreasing order.
1/3, x, r
Suppose 5*p = -30*m + 33*m - 7, -2 = 2*m. Sort 2, p, -559.
-559, p, 2
Let c(o) = o**3 + 16*o**2 + 27*o - 19. Let q be c(-14). Put -32, -0.5, q in increasi
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*r + 3 = -5. Put -4, s, h in descending order.
s, h, -4
Suppose -29 = -6*q - 5. Put q, -8, -1 in decreasing order.
q, -1, -8
Let x be -6*(2 - 6/9). Let h = 25/3 + x. Let i = 5 + -15/2. Put i, 0, h in descending order.
h, 0, i
Let y be 2/5 + 172/20. Let d be (2 - -1)*(-3)/y. Suppose 0 = 3*q - q - 10. Sort q, 3, d in decreasing order.
q, 3, d
Suppose -4*w = -2*g + 6, -8*w - 3*g = -4*w + 31. Sort 1, 4, w.
w, 1, 4
Suppose 5*n - 10 = -5*f, -n - 2*n - 4*f + 8 = 0. Sort 5, -6, n in increasing order.
-6, n, 5
Let v be -3*(-20)/36*3. Put 2/11, 3/2, v in increasing order.
2/11, 3/2, v
Let s(y) = -y - 5. Let x be 0*(3 - (-30)/(-9)). Let h be s(x). Put -2, h, -3 in increasing order.
h, -3, -2
Let l(p) = p**3 - 5*p**2 - 3. Let h be l(5). Suppose 11 = j + w, -7*j = -3*j + 3*w - 40. Suppose 0 = 3*u + j - 1. Sort u, -4, h in ascending order.
-4, h, u
Let r = -2.94 - 0.06. Put r, -4, 0.3, -1/2 in decreasing order.
0.3, -1/2, r, -4
Let s = -27 + 32. Put -5, -2, s in decreasing order.
s, -2, -5
Let t(z) = z**3 - 3*z**2 + 2*z - 2. Let k be t(3). Sort -4, 3, k.
-4, 3, k
Let u = -5/42 - 43/168. Let h = 25.3 + -22.3. Put h, u, -4/3 in ascending order.
-4/3, u, h
Let u be 2/(-7) - 30/336. Sort -5, -7/4, u in descending order.
u, -7/4, -5
Let x be (-364)/35 + 6 + 2*2. Put 1, -0.2, 1/3, x in decreasing order.
1, 1/3, -0.2, x
Let a be (-9)/(-3) + (-138)/36. Put 1, a, -1 in increasing order.
-1, a, 1
Suppose 5*i + 2*c = -c + 7, -12 = -3*c. Suppose 0 = -5*l - r - 5, 0 = 2*r + 2*r - 20. Sort l, -4, i in ascending order.
-4, l, i
Let m = -4.957 - 0.043. Suppose -2 - 4 = 3*u. Sort m, u, -1 in decreasing order.
-1, u, m
Let t = 1.2 - -1.8. Sort -0.2, t, -2 in descending order.
t, -0.2, -2
Let j(n) = -n**3 - 11*n**2 - 5*n - 15. Let g be j(-11). Let m be g/(-22) - (-2)/(-11). Put m, 0, -4 in decreasing order.
0, m, -4
Let c(l) = l**3 + 5*l**2 - l - 4. Let i be c(-5). Sort 0, -1/4, i in decreasing order.
i, 0, -1/4
Suppose 5*n - 2*r - 6 = 3*n, -3*r = 2*n + 19. Let p be 2 + (0 - 0) - 5. Put n, p, 4 in decreasing order.
4, n, p
Let v = -0.04 + -0.26. Put -3, v, 1/6 in ascending order.
-3, v, 1/6
Let i be -2*3/4 + 1. Let q = 1.1 + -0.1. Let u = 1 - q. Put i, -3, u in increasing order.
-3, i, u
Suppose -28 - 7 = 7*z. Sort -2, 3, z, -1 in increasing order.
z, -2, -1, 3
Let g be (-25 - -23)*1/(1 - 0). Let m be ((-19)/4 - -2)*4. Let y = m + 8. Sort g, 5, y in descending order.
5, g, y
Suppose -3*c + 8 = c. Let i be (8/12)/(c/(-9)). Put 3, 2, i in increasing order.
i, 2, 3
Let b = -0.09 - -0.19. Sort 4, b, 0.5 in ascending order.
b, 0.5, 4
Let a(v) = -v - 1. Let t be a(4). Let q be 5 - (-2)/(((-28)/8)/7). Put 2, q, t in descending order.
2, q, t
Suppose -t + 12 = -5*a - 4*t, a = -4*t - 16. Suppose 15 = -3*m, -3*h - m - 2*m - 30 = a. Sort 1, h, 0 in descending order.
1, 0, h
Let f(c) = -5*c. Let u be f(-1). Sort u, -4, 1 in descending order.
u, 1, -4
Let k(g) = g + 3. Let u be k(-3). Suppose u = -2*z - z. Suppose -s - 2*s = 3, 2*s + 8 = 3*y. Sort z, y, 3.
z, y, 3
Let p = 0.82 + -0.72. Sort -2/13, 2/7, p, -3 in decreasing order.
2/7, p, -2/13, -3
Let r = 22/3 + -6. Let v = 33 + -33.1. Sort r, 0.2, v in descending order.
r, 0.2, v
Let g(p) = 8*p + 6. Let a be g(-1). Let b = 10 + -14. Put b, a, -3 in ascending order.
b, -3, a
Let x be ((-1)/14)/(86/628). Let w = x + 4/43. Let u be 1/1 + 26/(-30). Sort w, u, 1/4 in descending order.
1/4, u, w
Suppose -5*r + 14 = 2*i - 4, -i - 5*r = -19. Sort 1, i, -2 in descending order.
1, i, -2
Let b = 81 + -93. Sort b, 4, -3/4 in descending order.
4, -3/4, b
Suppose -3*g = -4*j - 2 + 18, -5*j = 4*g - 20. Let z be g + -3 - 2/(-1). Let v be z/(-1) - 12/9. Sort -0.1, v, 3 in decreasing order.
3, -0.1, v
Let b = 86 + -83. Sort 18, b, 0 in descending order.
18, b, 0
Suppose 5*g = 5 + 5. Let n be g/(-7) - (-46)/112. Sort 3/5, n, -0.3 in decreasing order.
3/5, n, -0.3
Let l = 3/14 - -5/42. Let x(d) = -d**2 - 5*d + 12. Let v be x(-7). Let j be (0 + v)*1/4. Sort j, l, -0.4 in descending order.
l, -0.4, j
Let h be ((-378)/8)/(-7) + -2. Let v = h - 5. Sort -2/7, 1/6, v in decreasing order.
1/6, v, -2/7
Let y = 7 - 3. Put y, 1, 2 in ascending order.
1, 2, y
Let a = 3 + -2.95. Sort 1, a, 5 in descending order.
5, 1, a
Let g = -77 + 81. Suppose 13 = 2*d - 5*d - 2*x, 2*d - 3*x + 13 = 0. Let z(l) = 2*l**2 - l + 1. Let i be z(1). Put g, d, i in decreasing order.
g, i, d
Let g = 4.3 - 4. Let u = g - 0.2. Sort 1/3, u, -4.
-4, u, 1/3
Let d(s) = -s**2 - 6*s - 4. Let l be d(-2). Let o be 0/2 + (-2)/1. Put l, o, 5 in decreasing order.
5, l, o
Let u = 9.71 - -0.29. Sort -2, 4, u in descending order.
u, 4, -2
Suppose x = 4*b + 25, -5*x + 30 = -5*b - 4*x. Suppose 0 = -2*w - 0*w - 4. Let z = 5 + w. Put -1, b, z in ascending order.
b, -1, z
Let t = -47.3 + 47. Let x(u) = -2*u - 7. Let w be x(-6). Put t, 0.4, w in ascending order.
t, 0.4, w
Let z = -24 + 12. Let r = z - -15. Let w = 0 - 0.2. Sort 5, r, w.
w, r, 5
Let l = -12 + 8. Put -0.2, 5/3, l in descending order.
5/3, -0.2, l
Let l = -3 + 10. Let s(z) = -z + 7. Let u be s(l). Sort -3, 1, u in increasing order.
-3, u, 1
Suppose l - 8 = -l. Let g be -2 + l - 27/15. Sort -1, 5, g in ascending order.
-1, g, 5
Let m = 6 + -4. Let h(y) = -y**2 + y - 2. Let f be h(m). Suppose -20 = z - 0*z - 5*q, -5*z - 28 = -q. Put f, z, 5 in increasing order.
z, f, 5
Let i = -5 + 7. Let n = 2 + -5. Let r(m) = m - 1. Let p be r(-4). Sort p, n, i.
p, n, i
Let x(v) = v**2 + 5*v - 7. Let k be x(-6). Let l = 6 - 2. Let y = l + -1. Put 4, y, k in descending order.
4, y, k
Let u be (-18)/63 - 2/(-7). Sort -2, u, 2 in increasing order.
-2, u, 2
Let p = 96 + -105. Put 3/7, 2/13, -0.5, p in descending order.
3/7, 2/13, -0.5, p
Let i = 0.07 + -0.07. Let d = -0.4 + i. Let c be 2/3*6/(-22). Sort 1, d, c.
d, c, 1
Suppose 0 = 5*c + 11 - 31. Sort -1, c, 2.
-1, 2, c
Let q(d) = -1 + 7*d - 1 + d**2 - 3. Let t be q(-7). Sort 4, 6, t in ascending order.
t, 4, 6
Let r be (15/6 - 2)*-6. Let k be r + 1 + -11 + 8. Put k, -2, 3 in descending order.
3, -2, k
Let q(k) = -2*k - 3. Let o(s) = -s - 2. Let a(r) = 4*o(r) - 3*q(r). Let j be a(1). Suppose -m + 19 = 5*p, j*p - 15 = 4*m - m. Sort -4, 5, p in decreasing order.
5, p, -4
Let a(x) = -x**3 - 10*x**2 - 2. Let b be a(-10). Suppose -23*h = -19*h - 16. Sort h, b, 0 in decreasing order.
h, 0, b
Let o = -109.8 + 110. Suppose n + 2*c + c = 5, -5*n + 5*c + 5 = 0. Sort n, o, 0.
0, o, n
Let c = 3 - 3.3. Let d = 11.4 - 11.4. Sort d, 0.5, c in decreasing order.
0.5, d, c
Let k = -4 + 11. Let h = -6.9 + k. Sort -1, 2/11, h in ascending order.
-1, h, 2/11
Let p = 6 - 4. Put -19, 1, p in ascending order.
-19, 1, p
Suppose 4*x = 9*x + 70. Put -1, x, 1, -2 in increasing order.
x, -2, -1, 1
Let k = -1 + -2. Let s = 1 + k. Put s, -3, 3 in increasing order.
-3, s, 3
Suppose -23 = 2*m - 111. Let j be (-3)/(-6) + (-14)/m. Put 3, -2/7, j in decreasing order.
3, j, -2/7
Let b = 24 - 20. Sort b, -2/5, -4, 2 in decreasing order.
b, 2, -2/5, -4
Let h = -4 + 7. Let c(b) = -b**3 + 11*b**2 + 11*b + 7. Let y be c(12). Let d = 6 + -8. Sort y, h, d in increasing order.
y, d, h
Suppose -2*i + 13 = 5*h, -2*i = -3*h + h + 8. Let x = -13 - -9. Let o be (-1 + 4 - -1) + 0. Sort x, o, h in ascending order.
x, h, o
Let a(p) = p**3 + 6*p**2 - 3. Let u be a(-6). Suppose 2*o = 3*c - 2*c + 5, o - 5*c = -20. Sort 0.02, o, u in decreasing order.
o, 0.02, u
Let y(p) = -p**3 - 6*p**2 - 5*p - 1. Let c be y(-5). Let i = 168 - 167. Let d = -9 + 4. Put i, c, d in ascending order.
d, c, i
Let b = 54 - 54.14. Put -2, 0.5, b in ascending order.
-2, b, 0.5
Let i be 1/(-1) - 56/(-32). Put -2/13, 1/4, i in ascending order.
-2/13, 1/4, i
Let k = -0.8 + 0.9. Let f = k + 0.1. Sort -2/15, f, 0.3.
-2/15, f, 0.3
Suppose 5*j + 13 = -2. Suppose -5*u + 4*s + 0*s + 15 = 0, 2*u = -4*s + 6. Let o = -1 + u. Put 5, j, o in decreasing order.
5, o, j
Let j(b) = b**3 - 4*b**2 - 3*b - 10. Let g be j(5). Sort 8, -2, g in decreasing order.
8, g, -2
Let u = 794/5 - 158. Suppose 0 = -3*b - z - 5, -3*z - 10 - 5 = 2*b. Let v be -1 + 2 + b + -3. Sort v, u, -1.
v, -1, u
Let t be ((-100)/(-5))/5 + -3. Put -24, t, -3 in ascending order.
-24, -3, t
Let r = 24 + -9. Suppose -4*j + r = j. Suppose -c - 2 = 2*t + 3, 2*t = -3*c - 7. Sort j, -3, c in descending order.
j, c, -3
Let o be 10/15*2*3. Suppose 0 = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
c - 24 = -3*c + 4*z, 3*c + z = l. What is the lowest common multiple of c and 3?
6
Let b = 4 + -4. Let i be -3 - ((b - -1) + -3). What is the smallest common multiple of 3 and 4*1/(-2)*i?
6
Let y be (-1749)/(-2) - (-9)/18. Calculate the common denominator of y/(-90) - 2*-1 and 25/4.
36
Find the common denominator of 1 - ((-3)/(-3))/(45/(-295)) and -69/8.
72
Suppose 0 = 3*y - 2*q - 41 - 33, y + q = 23. Calculate the common denominator of ((-4)/(y/(-369)))/(-5) and 38/(3/(3/(-5))).
10
Suppose 0 = -2*p - l - 5, 0*l = -p - l - 5. Let k(h) = h - 1465. Let i be k(p). Let x = 3003/2 + i. Find the common denominator of 14 and x.
2
Let f(k) = -38*k - 1. Let d be f(2). Find the common denominator of d/(-6) - 2/2 and 25/7.
42
Let c = 70 - 44. What is the lowest common multiple of c and 2?
26
Let h(s) = s**3 + 2*s**2 + s + 72 - 68 + 2*s**2. Calculate the lowest common multiple of h(-3) and 20.
20
Let y(m) = 18*m**2. Let i be (4*(-3)/(-6))/(-2). What is the least common multiple of 18 and y(i)?
18
Let d = -835/1704 - -20/71. Calculate the common denominator of d and (-6 - 1) + 5275/300.
24
Suppose 5*x - 4*x = -16. What is the lowest common multiple of (x/6)/((-2)/12) and 42?
336
Let w(r) = -r**2 + 6*r. Let f be w(6). Calculate the least common multiple of 10 and (f/1)/3 + 1.
10
Let x = -9/22 + -78/11. Let t = -9059/4 - -2282. What is the common denominator of x and t?
4
Let z = 20/897 + -23143/5382. Calculate the common denominator of z and ((-735)/330)/(-1 + 2) - 2.
198
Let w be -23*(-5)/(15/12). Let l = w + -46. Find the common denominator of (-1 + -2 + l)/16 and -23/22.
176
Let k be (-116)/(-10)*(-99)/(-477). Let m be 4/6 - (-524)/(-795). Let j = k - m. Find the common denominator of j and -22/3.
15
Let g(i) = 2*i - 1. Let q be (-4)/(-28) + 26/14. What is the lowest common multiple of g(q) and 4?
12
Suppose -q + 10 + 10 = 0. Calculate the smallest common multiple of q and 8.
40
Calculate the common denominator of 2 + 1 - (-3 - 380/(-112)) and -145/12.
84
Calculate the common denominator of ((-2)/(-12))/((-8)/54) and 41/5.
40
Suppose -3*c - 2 = -t + 9, -4*t + 23 = -5*c. Let u = 1584/7 + -227. Calculate the common denominator of t/8*(-18)/5 and u.
70
Suppose 3*u - 5*v - 3 - 1 = 0, 4*v = -5*u + 19. Suppose w + 64 = 6*w + u*q, 4*w + 2*q - 52 = 0. Let j = -5 - -9. What is the least common multiple of j and w?
28
Suppose -l = -6*l - 50. What is the common denominator of 6/40*(-186)/(-9) and -27*(-1)/l + 1?
10
Suppose -m - 3*y + 7 = -0*m, 0 = 2*m - 4*y + 6. Suppose -2*s + 9 - m = 0. Calculate the least common multiple of s and 18.
36
Let j = 159/157 + 12991/3140. Calculate the common denominator of 6/(-20)*315/14 and j.
20
Let s = 21 + -7. Calculate the least common multiple of 4 + (0 - -1)*4 and s.
56
Suppose 2*t - o = t + 106, 0 = -t + 4*o + 100. What is the common denominator of (-3)/(t/154) + -1 and ((-31)/8)/((-6)/9)?
144
Let r = 11957/236 + -207/4. Let q = 5279/1062 - r. What is the common denominator of 37/10 and q?
90
Suppose 0 = -2*v, -5*s = -3*s - 3*v - 26. What is the smallest common multiple of s and 1?
13
Let d = -1526/5 - -11793/40. Calculate the common denominator of d and 37/19.
152
Let z(u) = 7*u**2 + u. Let y be z(-1). Find the common denominator of -25/7 and (-39)/y + -1 + 3.
14
Let s = 20 + -10. Calculate the lowest common multiple of 82 and s.
410
Let h = 1159/102 - 366/17. Calculate the common denominator of 127/12 and h.
12
Suppose 5*y + 4*r + 45 = 2*y, 2*r - 30 = 2*y. Let t = y - -40. Suppose -2*c = -b - 7*c + t, -3*b + 42 = 4*c. What is the lowest common multiple of 2 and b?
10
Let m be 62024/3*(-45)/(-220). Let j = m + -4226. Calculate the common denominator of j and -42/11.
11
Suppose 5*y - 21 = 9. Let q = y + 21. Suppose 2*z - 5*k - q = 0, -4*z - 4*k = -31 - 9. Calculate the smallest common multiple of z and 2.
22
Suppose 3*h + 3*n - 2*n = -28, n = -4. Find the common denominator of ((-18)/h)/(8/36) and 11/6.
24
Let r = 11 - 6. Suppose -s - 47 = -r*s - v, -s - 5*v + 26 = 0. What is the smallest common multiple of s and 13?
143
Suppose s + 5*w = 3, -s - s = -5*w + 39. Calculate the common denominator of 83/6 and ((-6)/8)/(s/172).
12
Suppose 2*m - 4*o + 1 + 7 = 0, 0 = -5*m - 5*o + 25. Calculate the smallest common multiple of 20 and m.
20
Let u = 14137/16 + -884. Let j = -157863733039/8597424 + 15741318/857. Let m = -2/627 - j. Find the common denominator of u and m.
16
Suppose 3*g - 10 = 3*k - 118, 0 = 3*k - 4*g - 107. Find the common denominator of -11/3 and k.
3
Let p be (3319/2)/(-1)*-2. Let y = p + -13353/4. What is the common denominator of y and 9/2?
4
Let t(z) = -z**3 + 5*z - 2*z**2 - z - 3*z**2 - 2*z**2 - 1. Let f be t(-7). Let y = 49 + f. Calculate the lowest common multiple of y and 12.
60
Find the common denominator of 245/(-42) + (-1)/(-3) and 101/10.
10
Let x be (4 - 6)/((-2)/10). Suppose 4*s + x = -10, 3*s - 5 = -2*n. Calculate the lowest common multiple of 2 and n.
10
Suppose 2*c - 8 = -2*c. Suppose -5*y - c*p + 47 = 0, -2*y + 4*y - 5*p = 42. What is the least common multiple of y and 8?
88
Find the common denominator of 47/27 and (-2)/18*(-876)/4.
27
Let a be (1*-2)/((-4)/6). Suppose 4*j + a = -5. What is the common denominator of 1 + 78/(-14) + j and 15?
7
Let m be 1/(-1) + -10 + -1. Let d = m + 3. Let g(c) = -c**2 - 12*c - 9. What is the smallest common multiple of g(d) and 10?
90
Let u be (-18)/10*(-2955)/12. Let z = u + -441. Find the common denominator of z and 0/3 - 87/8.
8
Calculate the common denominator of 93/8 and (-2)/(448/(-20))*265/(-25).
56
Suppose -2*x + 16 + 4 = 0. What is the lowest common multiple of 12 and x?
60
Let s = 1 + -8. Let q = s + 12. Suppose 0*d + 5 = q*d + t, 0 = d - t - 1. Calculate the lowest common multiple of d and 1.
1
Let x = -16694/7 - -2380. What is the common denominator of 4/(-18) + (-453)/270 and x?
70
Let s(y) = y**3 - 5*y**2 + 5*y + 6. Let a be s(5). Suppose -4*t + a = 5*n, 4*t + n - 25 = -2*n. Calculate the smallest common multiple of 10 and t.
20
Let g = 52 + -108. Let b = g - -79. What is the common denominator of b/(-5)*20/56 and 137/6?
42
Let z(m) = -m**3 - 4*m**2 - 4*m - 2. What is the lowest common multiple of 2 and z(-4)?
14
Let d(v) = -3*v - 3. Let y be d(9). Let f = 42 + y. Calculate the lowest common multiple of f and 16.
48
Suppose -4 = -4*v - 0*v. Suppose v + 5 = q. Calculate the lowest common multiple of (-108)/(-14) + q/21 and 16.
16
Suppose 9*n = 2*n + 126. What is the lowest common multiple of 18 and n?
18
Let v = 1931 - 5562. Let c = v + 39994/11. Find the common denominator of c and 10/(-30)*55/2.
66
Suppose -3*c + 14 = -8*c + 2*w, -3*c + 2 = 4*w. Let x be c/(-1) + (-4)/2. Let y = x + 3. What is the lowest common multiple of 1 and y?
3
Let i be (-2)/10 - (-32)/(-40). Calculate the least common multiple of 18 and i + 23*(1 + 0).
198
Suppose 2*h = 3*h - 32. Let z = -23 + h. Calculate the lowest common multiple of z and 7.
63
Let s = -890/11 + 5681/66. Calculate the common denominator of 17/54 and s.
54
Calculate the common denominator of -5 + 7 + (-6)/(-27)*-46 and 65/9.
9
Let x = 9544/65 + -743/5. What is the common denominator of (18/(-7))/((-24)/(-189)) and x?
52
Let z(x) = -4*x - 1. Let p be z(3). Let f = 21 + p. Calculate the smallest common multiple of 18 and f.
72
Suppose 4*g = -g + 110. Suppose 4*d = -0*t - 2*t + 36, 4*t - 78 = -2*d. Calculate the least common multiple of t and g.
220
Let c be (-1 + -1)/((-6)/(-15)). Let v(w) = w**3 + 4*w**2 - 7*w - 1. Let r be v(c). Suppose -60 = 4*z - r*z. Calculate the smallest common multiple of z and 20.
60
Let h(k) = 66*k + 4. Let c be h(-9). Find the common denominator of c/(-48) + (-8)/12 and -79/6.
24
Let b = 20729/6 - 3416. Let w = b - 39. Find the common denominator of 31/6 and w.
6
Let j be 27/6*29959/(-24). Let q = -5621 - j. What is the common denominator of q and 89/22?
176
Let o = -178/480563 - 44112308245/30275469. Let d = -1457 - o. Let r = -2465/252 + d. Calculate the common denominator of -81/8 and r.
8
Let n(c) = -c + 10. Let s be (-192)/(-14) + (-6)/(-21). Suppose 5*x - 29 + 3 = 2*p, 0 = 5*x + 2*p - s. What is the smallest common multiple of n(0) and x?
20
Find the common denominator of -2 + (2/(-80))/(2/(-236)) and 31/48.
240
Suppose -3*t - 3 + 18 = -3*i, -4*t - 20 = 4*i. Suppose -4*m - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*c. Let g = c + -1610/13. Sort 3, -4/5, 1/5, g in decreasing order.
3, 1/5, g, -4/5
Let v(z) = z + 11. Let f be v(-6). Let r(n) = -n**2 + 4*n - 3. Let w be r(f). Let u be 8/w - (-13)/11. Put 5, u, 0.5 in increasing order.
u, 0.5, 5
Let n be 4/2*(-2 + 0). Suppose -2*y = -3 - 5. Suppose 5*m - 2*q = -0*q + 17, y*q - 16 = 0. Sort n, -1, m in increasing order.
n, -1, m
Let n = 7 - 8. Let b = n + -2. Let w be -2*(-3)/(b - 0). Sort 5, w, 1 in descending order.
5, 1, w
Suppose -3*b + 4*z = 2*z - 13, 4*b = 4*z + 20. Let u be (-391)/(-460) + b/(-5). Sort -1/4, 2/5, u.
-1/4, u, 2/5
Let h = 46 + -50. Let t(s) = 20*s**2 - 1. Let n be t(1). Suppose 1 = -4*p - n. Put 3, h, p in descending order.
3, h, p
Let f(t) = -t**2 + 2*t - 2. Let x be f(3). Let b(r) = r**3 - 9*r**2 + 7*r + 5. Suppose 9 = l + 1. Let h be b(l). Sort x, -0.3, h in descending order.
-0.3, h, x
Let m = 5.9 + -6. Let i = m - 0.2. Let d = -0.608 + 1.108. Put i, 0.15, d in descending order.
d, 0.15, i
Let a = -33 + 36. Put -48, a, -5, 0 in descending order.
a, 0, -5, -48
Let y = 17 + -17.11. Let v = 26 + -26.19. Let t = v + y. Sort t, 1, 4 in decreasing order.
4, 1, t
Let s be 5/(-15) - (-15)/(-27). Sort s, 0.5, -2.
-2, s, 0.5
Let x = 503 - 504. Put 3, 5/4, x in ascending order.
x, 5/4, 3
Let w = 719 + -714. Let c(o) = 3*o**3 - 4*o**2 + o + 2. Let g be c(2). Put -4, g, w in ascending order.
-4, w, g
Let w(v) = v**3 + 8*v**2 + 10. Let f be w(-8). Let n(r) = 14 - r - 27 + r**3 + 0 + 11*r**2. Let c be n(-11). Sort f, 1, c in decreasing order.
f, 1, c
Let y(v) = -v**3 - 4*v**2 + 3*v + 4. Let t be y(-4). Let l be (-16)/(-126) + t/14. Put -0.2, l, 1/5 in increasing order.
l, -0.2, 1/5
Suppose -m - 5 = 5*q - 7*q, 2*m - 5*q = -10. Suppose 8 + 4 = -3*a. Put -3, m, -2, a in ascending order.
m, a, -3, -2
Let i = -11 + 8. Let u = i + 3. Suppose -5*q + 20 = -x - u*x, 5*q - 35 = -2*x. Sort -4, -2, q.
-4, -2, q
Suppose -72 = -2*o - 74. Put 46, 3, -5, o in descending order.
46, 3, o, -5
Let v be -1 + 9 + -11 + 8. Put -20, v, 4 in descending order.
v, 4, -20
Let h = 0.08 + -0.08. Let a = 1685 + -1681. Sort a, -0.4, h.
-0.4, h, a
Let l be 72/(-168)*8/(-6). Sort 4, l, -50/7 in descending order.
4, l, -50/7
Let i = -0.0882 - -5.0882. Let g = -1660 + 190898/115. Let f = -119/230 - g. Put f, -4, i in ascending order.
-4, f, i
Let p = -55 + 331/6. Let v = -8 + 4. Let j = v + 2. Sort j, 2/5, p.
j, p, 2/5
Let y(i) be the third derivative of i**6/120 - 11*i**5/60 + 3*i**4/8 + i**3 + 3*i**2 + i. Let n be y(10). Sort 6, n, -2.
n, -2, 6
Let m = -28426076752/2317 - -12268484. Let v = -2/331 + m. Let f = 2848 + -2844. Sort -0.4, v, f.
-0.4, v, f
Let s = -8 + 13. Suppose -2*y - 2 = 0, 2*y = -5*w + y + 9. Suppose w*g - 8 = -2*r, -3*g - 2*r = g - 10. Put -3/4, s, g in decreasing order.
s, g, -3/4
Let g = -2 - 0. Let x = 56 + -35. Let n = -20.7 + x. Sort 1/3, n, g in decreasing order.
1/3, n, g
Suppose 0 = 2*u + g + 1, 5*u + g - 43 = -44. Suppose 4*t = -10 - 134. Sort u, t, 4 in increasing order.
t, u, 4
Let o = 0.066 - 28.066. Let k = 21 + o. Sort 3/2, k, -5 in descending order.
3/2, -5, k
Let b(c) = 3*c + 2. Let j be b(-2). Let f be (9 - (-5 + 18)) + (-1)/(-1). Put 3, f, j, 0 in decreasing order.
3, 0, f, j
Suppose 0 = -j - 4*l - 8, l - 8 = -4*j + 5. Sort -4, -3, 17, j in ascending order.
-4, -3, j, 17
Suppose 21*j - 15*j = -6. Sort 1, j, -16 in increasing order.
-16, j, 1
Let i = -6 + 2. Let j be (-160)/88 - -2 - (-5)/33. Sort j, 4, i, 0.3 in descending order.
4, j, 0.3, i
Let l be (6/((-6)/(-11)))/(-1). Let h = -3 - l. Suppose 3*o + 7 = -j + 25, -j = o - h. Sort 3, -1, o in increasing order.
-1, 3, o
Let s = 16 - 13. Suppose -66 = -s*m + 39. Let i = 176/5 - m. Sort i, -0.2, 0 in decreasing order.
i, 0, -0.2
Let n = -258 + 257. Sort 0.2, n, -20/9 in increasing order.
-20/9, n, 0.2
Let m = -384 + 6530/17. Let w be (-1)/(5/(20/(-24))). Sort w, m, 1 in decreasing order.
1, w, m
Let h(j) = -j**2 - 11*j - 33. Let a be h(-6). Let l = -673 - -7397/11. Let w = 4/11 + l. Put w, a, 3/7 in increasing order.
a, w, 3/7
Let o = 587 + -583. Sort -1/3, 0.021, o, -0.3 in ascending order.
-1/3, -0.3, 0.021, o
Let k = 0.231 - 0.131. Put 1/4, -3/4, -1, k in ascending order.
-1, -3/4, k, 1/4
Let s = -972 - -972.2. Sort s, -37, 2/3, -1/11 in decreasing order.
2/3, s, -1/11, -37
Let l = -1726 - -1702. Suppose -3*a - 4 = -a. Put a, 1, l, -3 in decreasing order.
1, a, -3, l
Let u be 8/10*(-20)/(-8). Let s be (u/5)/((-5)/75). Let d be (-258)/54 - s/(-27). Sort 0, -22, d.
-22, d, 0
Let u = -0.04 - -0.34. Sort -1/4, -3, -4, u.
-4, -3, -1/4, u
Suppose 0 = 3*x - 8 - 4. Let f(z) = z**2 - 4. Let t be f(-2). Sort 5, t, x.
t, x, 5
Let h(l) = l**3 - 14*l**2 - 16*l + 22. Let y be h(15). Suppose -2*a - y = -19. Let x(b) = b - 9. Let r be x(a). Put r, 0, 1 in decreasing order.
1, 0, r
Let t(i) = -2*i**2 - 16 + 3*i**2 + 8. Let j be t(0). Let n = 0.437 - 0.037. Put -1, j, n in decreasing order.
n, -1, j
Let b = -3 - -1. Suppose -5*q + 5*u - 55 = 0, q + 28*u = 25*u - 23. Sort q, b, 5 in increasing order.
q, b, 5
Let f = 10 + -4. Suppose 9 = -w + f. Sort w, 5, 4, 3 in descending order.
5, 4, 3, w
Suppose 191*m - 8 = 193*m. Sort 1, m, -38 in ascending order.
-38, m, 1
Let q = -23 - -70/3. Let y = 0.365 - -0.025. Let h = y + -0.09. Sort h, -2, q.
-2, h, q
Let j be 0/2 - (-4)/(-2). Let l be (124/(-52) - 2) + 3. Let g = 2/39 + l. Put j, g, 0.4 in ascending order.
j, g, 0.4
Suppose 0 = -3*r + 1 - 4. Let z be -4 + (r - (-7 + 2)). Suppose -2*n - 5*b + 32 = z, 5*n - 5*b = -0*b + 80. Sort -1, 0, n in decreasing order.
n, 0, -1
Let n be 0 + 2 + -3 + 4. Suppose -l + 3*x + 8 = 0, 4*x = -2 - 6. Put -1, l, n in descending order.
n, l, -1
Let o be -3*-4*(-212)/48. Put 0, 4, -4, o in decreasing order.
4, 0, -4, o
Let j(b) = 2*b**3 + 82*b**2 + 82*b + 77. Let m be j(-40). Suppose -4 = -3*z - 2*g, -z = 2*z - 3*g - 9. Sort z, m, -2 in increasing order.
m, -2, z
Let s(g) = -18*g + 150. Let a be s(9). Put 0, a, 1 in decreasing order.
1, 0, a
Let i = 11 + -24. Let r = i + 19. Let p(f) = -f**3 + 4*f**2 + 3*f + 7. Let o be p(5). Sort 1, r, o in decreasing order.
r, 1, o
Let k = 1.2855 - -0.7145. Let x = -0.3 - -0.8. Put 1/10, x, k in decreasing order.
k, x, 1/10
Let q(w) = -2*w**3 + 55*w**2 - 186*w - 10. Let c be q(4). Suppose 0*z + 2 = -2*z. Sort 4, c, z, 5 in descending order.
5, 4, z, c
Let w(o) = -6*o + 4. Let s be w(-6). Suppose g - 3*q + 35 = q, 2*q = 2*g + s. Let h be 6/g + (-13)/5. Sort h, 4, 0 in ascending order.
h, 0, 4
Suppose -4*j - j + 25 = 0. Let s = 7 - j. Suppose s*f = 4*f + 10. Sort 3, f, 2 in descending order.
3, 2, f
Let v = 178 - 180.01. Let s = 0.01 + v. Let h = -6823 + 20470/3. Put h, -5, s in descending order.
h, s, -5
Let z be (-12 - -3) + (-68)/(-17). Sort 28, z, -6 in ascending order.
-6, z, 28
Let z(v) = v**3 + 12*v**2 - 2*v - 12. Let b be z(-12). Suppose -9*o + 5*o = -b. Let q be 4/3 - (-2)/o. Sort q, -2, 0.
-2, 0, q
Suppose 4*q - z - 22 = 0, 0 = -q - q - 5*z. Suppose -3*r = -1 - 2. Suppose -l + 1 = 6, 3*i + 7 = l. Sort q, i, r in decreasing order.
q, r, i
Let r(y) = -174*y + 1397. Let f be r(8). Put -8, f, -5 in descending order.
f, -5, -8
Let d be (-6)/4*(-9 - 259/(-21)). Suppose 3 = -n - 5. Put n, d, 5, -4 in descending order.
5, -4, d, n
Suppose 4*s - r = -15, -3*r = s - 2*s - 12. Let v = 7 + -4. Put v, s, -5 in ascending order.
-5, s, v
Let i(b) = -2*b - 1. Let k be i(-3). Suppose -t + 1 = k. Let f = 749 - 748.9. Put 2, t, f in ascending order.
t, f, 2
Let w(i) = i**3 - 50*i + 5. Let h be w(7). Put h, 348, 1 in descending order.
348, 1, h
Suppose -24 = -c + 4*c. Let y = 109 + -114. Sort c, -1, y in descending order.
-1, y, c
Let c = -15.93 - -16. Let r = c + -3.07. Let y = 100/7 - 1086/77. Put -1, y, r in decreasing order.
y, -1, r
Let l = -2.773 + -0.527. Sort -0.04, l, 2/11.
l, -0.04, 2/11
Let c = 0.37 + -54.37. Let x = 54.3 + c. Put 4, x, -4 in descending order.
4, x, -4
Let p = -0.872 + 1.072. Sort -3/5, p, -0.4, 2/9.
-3/5, -0.4, p, 2/9
Let m = -101 - -101. Put m, -2, -41 in descending order.
m, -2, -41
Let i(v) = v**3 + 7*v**2 - 8*v - 5. Suppose -7*z - 43 = 13. Let o be i(z). Sort 4, o, 0.
o, 0, 4
Suppose 0 = -4*q + 92 - 28. Let n be q/42 - (-26)/91. Sort n, 2, -2/11.
-2/11, n, 2
Let q be (-9 - (2 + -1))/(-22 - -20). Suppose 15 = q*k - 2*g, 3*g -
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to -0.1? (a) l (b) h (c) t
c
Let x = 2.97 + 0.03. Let v be ((-1)/4)/((-7)/(-28))*3. Which is the nearest to 0.3? (a) x (b) v (c) 0.2
c
Let l = -58.01 - -58. Which is the closest to -0.1? (a) 2/11 (b) l (c) 3
b
Let h = -0.3 - 0.2. Let x = -0.3 - h. Suppose 0 = -3*z + y - 6, -3*y + 3 = -2*z - 1. What is the nearest to z in 0, x, -2/13?
-2/13
Let r = 11.95 - -0.05. Which is the closest to 0.1? (a) 1 (b) r (c) -0.5
c
Let p = 0.9 + -1. Let q(f) = -f + 5. Let m be q(6). Let g be m/(3 + 10/(-6)). What is the nearest to p in g, -2, 0?
0
Let q = 0.33 + -0.03. Let x = q + -0.4. Which is the closest to -0.1? (a) -3 (b) x (c) 0
b
Let j = 2 - 0. Let k = -7 + 6. Which is the closest to k? (a) 2/11 (b) -5 (c) j
a
Let n = -0.2 - -0.2. Let j = -0.3 + 0.2. What is the closest to -3 in n, -2, j?
-2
Let l = 39 - 430/11. What is the nearest to 1/2 in -3, l, -0.5?
l
Let u = 12 + -12.5. What is the closest to 1/2 in -0.1, u, 0.4?
0.4
Let n = 3.14 + -3. Let k = 0.64 - n. What is the closest to 0 in k, -4/3, 4?
k
Let n = -75 + 75.3. Which is the closest to 0? (a) n (b) 0.2 (c) 2/91
c
Let k(d) = -2*d**2 - 5*d - 4. Let m be k(-2). Let g be 49/(-9) + 3 - m. Let t = -0.5 - 0. Which is the nearest to 1/3? (a) -0.2 (b) t (c) g
a
Let z = 5 - 5. Let j = 7 + -6. Which is the closest to j? (a) -1 (b) z (c) 0.1
c
Let q = 0.04 - 0.14. Let g = 0.25 - 0.05. Which is the nearest to q? (a) 2/9 (b) -4 (c) g
c
Suppose g + 0*w - 7 = 4*w, 13 = 3*g - 4*w. Suppose -g*p = p - 4. Let d = 285/4 + -72. Which is the nearest to 0? (a) p (b) 4/5 (c) d
c
Let a = -1.5 + 1.2. What is the nearest to -0.1 in a, 1/4, -2?
a
Let h = -0.6 - -0.5. Let s = 11 + -8. What is the nearest to h in 4, 1/5, s?
1/5
Let v = -4.6 + -1.4. Let g = 6.5 + v. Let i be 1 - -10*1/(-7). What is the closest to 0 in g, i, -4?
i
Let m = -23 - -40. Let i be m/(-3) - 8/(-12). Let v = -8.8 - -9. Which is the closest to -1/3? (a) v (b) 3/5 (c) i
a
Let a = 5 + -3. Suppose 2*m = -a*m. Let y = -3.8 + 3.9. What is the closest to y in -2, -5, m?
m
Let k = 13 - 12.9. Let d = -6 + 6.4. Which is the closest to -1? (a) -3/8 (b) k (c) d
a
Let f = -0.6 - -0.3. Let g = 0.2 - -0.5. Let t = -0.5 + g. What is the nearest to -2/5 in t, f, -4?
f
Let s = -8 + 9. Which is the closest to s? (a) 0 (b) 3 (c) -2
a
Let r = -2.1 + 2. Let f = 3/53 - 62/159. Which is the nearest to r? (a) -3 (b) -1.2 (c) f
c
Let a = -0.5 + -1.5. Let d = a + 1. Let c = 13/3 - 5. What is the nearest to c in d, 1, 2?
d
Let w = 25 - 30. Let r = 19/3 - 7. Let s = 0.2 - -0.3. What is the nearest to r in 2, s, w?
s
Let r = -3.99 + -0.01. Let b = 4.2 + r. Let t = -0.4 + 0.3. What is the nearest to b in t, 4, -1/6?
t
Let p = -5 + 1. Let a = p - -5. What is the closest to a in -0.4, 1, -2/17?
1
Let x = -1.5 - 4.5. Let s = x + 6.4. What is the nearest to 0.1 in 2/7, s, 1/6?
1/6
Let d = 8 + -5. Let l = -118039/77 - -1533. Let j = 24/77 - l. Which is the closest to j? (a) -2 (b) 0.4 (c) d
b
Let i be ((-1)/(-4))/(6/(-8)). Let x = -0.715 + 5.725. Let q = x + -0.01. Which is the closest to i? (a) 0 (b) 1/7 (c) q
a
Let d = 123/4 + -31. Which is the nearest to d? (a) 0 (b) 2 (c) 4
a
Let o = -2.2 + 2.2. Which is the nearest to -0.03? (a) -0.1 (b) o (c) 1
b
Let s = 2 - 1.96. Let d = -0.04 + s. What is the nearest to -0.2 in 2, -1/6, d?
-1/6
Let n = 10 - 15. Let d = 47 - 237/5. Which is the nearest to d? (a) n (b) -0.2 (c) 0.4
b
Let h = -4 + 5. Let p be -1*(3 - h)/(-6). Which is the nearest to p? (a) -1/7 (b) -0.5 (c) 0.1
c
Let k be (2/8)/((-72)/1120) + 4. Which is the nearest to -0.1? (a) k (b) 3 (c) -2/19
c
Let v = 0.1 + -0.1. Let h be (-1*4/6)/(7/(-3)). Which is the closest to v? (a) -4 (b) h (c) -0.3
b
Let z be (-198)/(-315) - (-3)/(-7). Which is the closest to -0.5? (a) 0.3 (b) z (c) -1/10
c
Suppose -f - n - 3*n - 23 = 0, 4*f + 5*n + 37 = 0. Let l = 4/261 - -6/29. Which is the nearest to 0.1? (a) f (b) l (c) -1/2
b
Suppose -4 = 5*p - 2*r + 9, 0 = p + r - 3. Let l be (-9)/(-27)*(-2)/3. What is the nearest to l in -3, 4, p?
p
Let h = 3 - 2. Let n = 2.47 + -2.67. Which is the nearest to h? (a) n (b) -2/5 (c) -0.3
a
Let p = -2.3 - -1.2. Let s = -1 - p. Let u = -34 - -35. Which is the closest to u? (a) 0.2 (b) -0.3 (c) s
a
Let c be 312/(-480) - 4/(-10). What is the nearest to 0 in 3/2, c, 8?
c
Let b = 0.26 + -0.16. What is the closest to -1 in -4, 3, b?
b
Let f be 58/(-10) - (-7)/(-35). What is the closest to f in -4/3, -5/2, -1?
-5/2
Let p = 12 - 13. Which is the closest to 0? (a) p (b) 2 (c) 1/5
c
Let t = -64 + 64.1. Let x be (1/(-6) + 0)*2. Which is the closest to 0.1? (a) -3 (b) t (c) x
b
Let f = 4.97 - 5. Let i = f + 0.53. Which is the closest to 3/2? (a) -1 (b) i (c) -1/4
b
Let r = 3 - 2.8. Let w = 0 - 0.44. Let v = -0.04 - w. Which is the nearest to -1/4? (a) r (b) v (c) -0.1
c
Let t be ((-9034)/(-4700))/(-1) + 2. Let s = t - -1/470. What is the nearest to 2/5 in 3, -0.3, s?
s
Let r = 1.52 - 1.4. Let b = r + -0.02. What is the closest to b in 5, 0, -3?
0
Let h = -272/5 + 54. What is the nearest to h in 0, -5, 0.4?
0
Let l = -0.04 + -0.06. Which is the closest to -1? (a) 3 (b) l (c) 0.2
b
Let j = -10 + 10.03. Let d = j + -0.03. Which is the closest to 1? (a) d (b) 1/7 (c) -0.4
b
Let l = -5 - -1. Let t = -9 - -14. Let x = -4.5 + t. Which is the nearest to -0.1? (a) l (b) x (c) 1
b
Let l = 0 + -5. Let u = -1 - l. What is the closest to -1 in 0, -3, u?
0
Let q = -1.5 + 1.5. What is the closest to q in 4, 0.1, 1/3?
0.1
Let l = 0.14 - 12.14. Let h = l - -7. What is the nearest to -2 in 2/3, h, 2?
2/3
Let s = -7 - 0. Let m = -4 - s. Which is the nearest to -1? (a) 4/5 (b) m (c) 1
a
Let u = 8902/21 + -424. Let s be (-38)/60 - (-1)/2. What is the nearest to s in u, -2/11, -5/3?
u
Let l = 9 + -13. Let u(a) = 3*a + 4. Let x be u(-3). Let s = 4.1 + -4. What is the closest to s in x, l, 1?
1
Let w = -2 - -2. Let t = -0.4 - w. Which is the nearest to -1? (a) 0.4 (b) t (c) 3/2
b
Let f = 394 - 389.97. Let n = 0.03 - f. Let m = -22.9 + 23. Which is the closest to m? (a) -3 (b) n (c) 2/15
c
Let u be -4*((-45)/(-42) - 1). Let g = 0.05 + -2.05. Let b = g + -3. What is the closest to 2/3 in b, u, 4?
u
Let a = -125/3 + 42. What is the closest to a in 5, 0, 4?
0
Suppose x = -0*z + 3*z, 5*x = -5*z + 20. Let f = 18/19 + -89/114. Let l = -1/3 - f. What is the nearest to 0 in l, 2, z?
l
Let g = -236 + 241. Let m = -4.4 + 4. Let s = -207/14 + 29/2. Which is the closest to -1/3? (a) g (b) s (c) m
b
Suppose 6*d - 5*d = 2. Which is the closest to -2/27? (a) -0.5 (b) -1 (c) d
a
Let z = 0.4 + -0.1. Let t = -0.1 - z. Let q = -181/114 + -3/38. What is the nearest to 0 in -3/2, t, q?
t
Let w = -0.13 + 6.13. Let x = -5.3 + w. Let f = x + -4.7. Which is the nearest to -1/2? (a) 0.5 (b) 0 (c) f
b
Let r = 7/65 - -9/13. Which is the closest to -6? (a) r (b) 1 (c) -0.5
c
Let v = 0.08 - 0.38. Let n = v + 0.1. Let m be (-4)/(-18) - 12/27. Which is the closest to 0.1? (a) 1 (b) n (c) m
b
Let p be ((-21)/15 - -3) + -2. What is the closest to 4 in -5, p, 5?
5
Let w = 0.7 + -0.7. Let q = w - 0.2. Let p = -0.4 - q. Which is the nearest to 0? (a) -3 (b) -1 (c) p
c
Suppose 5*n + 3*j + 10 = 0, -n - j - 2 = 2. Suppose 2*o + o = -9. What is the nearest to -0.2 in -0.3, n, o?
-0.3
Suppose -d + 5*d = 12. Let i = -299.6 - -300. Which is the closest to d? (a) i (b) 0.3 (c) -1/5
a
Let p = -1 + 0.8. Let z be ((-4)/30*-3)/((-8)/(-5)). Which is the nearest to z? (a) 1/7 (b) 5 (c) p
a
Let j = 0.4 - -0.1. Let p = -17/76 + -10/19. Let r = 6/29 - 47/87. What is the nearest to r in -2/5, j, p?
-2/5
Let m(u) = 2*u**3 - 3*u**2 + u - 2. Let s be m(2). Let r = 1 + -2. Let j = -122 + 125. What is the closest to r in j, s, -1/3?
-1/3
Let m = 1.5 - 1. Suppose 6 = 5*l + 5*r + 1, 3*r = -9. Let j = -0.13 + -0.07. Which is the closest to 0? (a) j (b) m (c) l
a
Let i = -47 + 49.3. Let y = 0.3 - i. Which is the closest to -1? (a) 0.1 (b) -0.5 (c) y
b
Let y = 0.3 + -0.1. Let f = -27.3 - -27. Let u = -3 - -2. Which is the nearest to u? (a) y (b) -5 (c) f
c
Suppose j - 44 = 36. Let t = -398/5 + j. Let s be 12/(-20)*(-15)/(-3). What is the closest to 0 in s, t, 1/3?
1/3
Let o(m) = m**2 + 7*m + 3. Let a be o(-6). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
5601 composite?
True
Is 27089 a composite number?
True
Is 9439 prime?
True
Is 520193 a prime number?
True
Is 13147 prime?
True
Is 60281 a composite number?
True
Is 61735 a prime number?
False
Is 175291 composite?
False
Is 3659 a composite number?
False
Is 327401 a composite number?
False
Is 14971 a composite number?
True
Is 7169 prime?
False
Is 668357 a prime number?
False
Is 2195 prime?
False
Is 473249 a prime number?
False
Is 158959 composite?
False
Is 631 prime?
True
Is 25049 a prime number?
False
Is 17231 a prime number?
True
Is 37273 a composite number?
False
Is 562859 a prime number?
False
Is 15229 prime?
False
Is 1400331 composite?
True
Is 9103 a prime number?
True
Is 25 composite?
True
Is 354953 prime?
True
Is 52667 a composite number?
False
Is 780211 composite?
False
Is 3819943 a prime number?
True
Is 208991 prime?
True
Is 8922359 a prime number?
True
Is 25202 prime?
False
Is 157 prime?
True
Is 17021 prime?
True
Is 2809 composite?
True
Is 1289749 a composite number?
False
Is 6731 composite?
True
Is 29287 a composite number?
False
Is 5501 composite?
False
Is 1399 prime?
True
Is 171142 composite?
True
Is 352991 composite?
False
Is 134327 composite?
False
Is 57623 a prime number?
False
Is 3251 prime?
True
Is 140317 a composite number?
False
Is 165343 composite?
False
Is 3899 a composite number?
True
Is 12289 a prime number?
True
Is 60715 prime?
False
Is 23513 a prime number?
False
Is 5923 a prime number?
True
Is 259951 a prime number?
False
Is 187309 a prime number?
False
Is 423403 prime?
True
Is 58937 prime?
True
Is 141389 a prime number?
False
Is 2837 prime?
True
Is 31687 a prime number?
True
Is 135637 composite?
False
Is 412283 composite?
True
Is 6934 a composite number?
True
Is 1735421 composite?
False
Is 523801 prime?
True
Is 17809 a prime number?
False
Is 478339 prime?
True
Is 38789 prime?
False
Is 2819 a composite number?
False
Is 5557 prime?
True
Is 11509 composite?
True
Is 35051 composite?
False
Is 71977 a prime number?
False
Is 1069 prime?
True
Is 10929 a prime number?
False
Is 19049 a prime number?
False
Is 18301 a composite number?
False
Is 63641 a prime number?
False
Is 3691 composite?
False
Is 17159 prime?
True
Is 5007 a composite number?
True
Is 52106 a prime number?
False
Is 62887 a prime number?
False
Is 239357 a prime number?
True
Is 15419 a prime number?
False
Is 3377 composite?
True
Is 1101013 composite?
True
Is 276127 a prime number?
False
Is 76871 a composite number?
False
Is 574279 a composite number?
False
Is 14101 prime?
False
Is 156551 a composite number?
True
Is 2391 a composite number?
True
Is 340441 prime?
False
Is 19373 composite?
False
Is 991255 a composite number?
True
Is 2047 composite?
True
Is 17783 a prime number?
True
Is 137809 a composite number?
True
Is 623 prime?
False
Is 3985 a prime number?
False
Is 12319 a composite number?
True
Is 6947 prime?
True
Is 752861 composite?
False
Is 12143 a composite number?
False
Is 87 prime?
False
Is 21479 a prime number?
False
Is 1045633 a prime number?
True
Is 219433 composite?
False
Is 2532079 a prime number?
False
Is 2334803 a prime number?
True
Is 69383 prime?
True
Is 613595 a composite number?
True
Is 1257 prime?
False
Is 4507 a prime number?
True
Is 6045431 composite?
True
Is 5533 composite?
True
Is 10831 a composite number?
False
Is 71023 a prime number?
True
Is 403 a prime number?
False
Is 102701 prime?
True
Is 325279 a prime number?
False
Is 83047 prime?
True
Is 22641 composite?
True
Is 4007 a composite number?
False
Is 1927 composite?
True
Is 11791 a composite number?
True
Is 7349 a composite number?
False
Is 5779 prime?
True
Is 1693321 a composite number?
True
Is 910171 a composite number?
False
Is 19777 composite?
False
Is 10247 a composite number?
False
Is 1225603 composite?
False
Is 75593 prime?
False
Is 74471 prime?
True
Is 151213 composite?
False
Is 17077 prime?
True
Is 9521 prime?
True
Is 2411 a composite number?
False
Is 22853 a composite number?
False
Is 4619 prime?
False
Is 143909 prime?
True
Is 5298341 a prime number?
True
Is 12839 prime?
False
Is 1896847 prime?
True
Is 121921 prime?
True
Is 991 composite?
False
Is 35657 a prime number?
False
Is 12247 a prime number?
False
Is 167 composite?
False
Is 27533 composite?
True
Is 1334681 composite?
False
Is 15569 a prime number?
True
Is 1102529 composite?
True
Is 573131 composite?
True
Is 58937 prime?
True
Is 7941 prime?
False
Is 3044885 a composite number?
True
Is 6991 a prime number?
True
Is 234349 prime?
False
Is 1657 a composite number?
False
Is 53837 composite?
True
Is 9813 a prime number?
False
Is 46862 composite?
True
Is 255293 a composite number?
True
Is 1358411 a prime number?
True
Is 14477 a prime number?
False
Is 44257 a prime number?
True
Is 16771 prime?
False
Is 16301 composite?
False
Is 89 prime?
True
Is 8953 prime?
False
Is 3569 composite?
True
Is 12451 composite?
False
Is 12583 prime?
True
Is 346639 a prime number?
True
Is 365 a prime number?
False
Is 31511 a composite number?
False
Is 560041 a prime number?
False
Is 125915 a composite number?
True
Is 5469 composite?
True
Is 7439 composite?
True
Is 584851 prime?
False
Is 15497 prime?
True
Is 100649 a prime number?
True
Is 83287 prime?
False
Is 1801 composite?
False
Is 303257 prime?
True
Is 42509 a prime number?
True
Is 282445 prime?
False
Is 48803 composite?
True
Is 410953 composite?
False
Is 9865 a prime number?
False
Is 254 a composite number?
True
Is 2215 composite?
True
Is 132477 a prime number?
False
Is 43009 a prime number?
False
Is 26821 a composite number?
False
Is 766589 prime?
False
Is 5051 a composite number?
False
Is 31469 composite?
False
Is 490649 a prime number?
False
Is 574601 composite?
True
Is 34313 a prime number?
True
Is 3547 a composite number?
False
Is 1165511 a composite number?
False
Is 446779 a composite number?
True
Is 116411 composite?
False
Is 862445 composite?
True
Is 1587283 a prime number?
True
Is 1397 a composite number?
True
Is 144323 composite?
False
Is 47599 a prime number?
True
Is 34433 composite?
True
Is 423853 composite?
False
Is 270689 composite?
False
Is 1214491 a prime number?
False
Is 293 a prime number?
True
Is 273881 a prime number?
True
Is 500755 prime?
False
Is 7639 prime?
True
Is 24241 a composite number?
True
Is 1837657 a prime number?
True
Is 7609 prime?
False
Is 8513 composite?
False
Is 463283 composite?
False
Is 9599 a prime number?
False
Is 5749 a composite number?
False
Is 859 prime?
True
Is 243259 composite?
False
Is 8903 a composite number?
True
Is 83901 prime?
False
Is 147841 a composite number?
True
Is 174649 a prime number?
True
Is 35797 a composite number?
False
Is 6977 a composite number?
False
Is 54533 a prime number?
False
Is 531771 a prime number?
False
Is 2903 composite?
False
Is 184349 a composite number?
True
Is 35537 a prime number?
True
Is 1696751 composite?
True
Is 19069 composite?
False
Is 126913 a composite number?
False
Is 352487 a prime number?
False
Is 641 a prime number?
True
Is 6599 a composite number?
False
Is 366455 a prime number?
False
Is 5213 a composite number?
True
Is 176179 prime?
True
Is 797 a composite number?
False
Is 444929 prime?
True
Is 294917 prime?
False
Is 313759 composite?
True
Is 1123 a prime number?
True
Is 120041 composite?
False
Is 1598447 a prime number?
True
Is 9601 composite?
False
Is 20249 a prime number?
True
Is 427007 a composite number?
True
Is 217081 a composite number?
False
Is 713 composite?
True
Is 9491 prime?
True
Is 101263 composite?
True
Is 972869 composite?
False
Is 9377 composite?
False
Is 5951 prime?
False
Is 102047 prime?
False
Is 2413 prime?
False
Is 1681 prime?
False
Is 41461 composite?
True
Is 1147 a composite number?
True
Is 928769 composite?
False
Is 1139729 a prime number?
False
Is 12371 prime?
False
Is 517 a prime number?
False
Is 136811 composite?
False
Is 107131 a composite number?
True
Is 22547 prime?
False
Is 68831 a prime number?
False
Is 53255 a prime number?
False
Is 140627 a composite number?
False
Is 1383149 prime?
False
Is 101641 a prime number?
True
Is 3263 composite?
True
Is 391 prime?
False
Is 331453 a prime number?
False
Is 360079 prime?
False
Is 661591 a prime number?
False
Is 1555 prime?
False
Is 150823 prime?
False
Is 5501 composite?
False
Is 455821 composite?
True
Is 326537 prime?
True
Is 27
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest integer?
526
What is the seventh root of 492111756 to the nearest integer?
17
What is the cube root of 21332300 to the nearest integer?
277
What is the square root of 1264946064 to the nearest integer?
35566
What is 120443382 to the power of 1/3, to the nearest integer?
494
What is the fourth root of 22344387 to the nearest integer?
69
What is 172259072 to the power of 1/9, to the nearest integer?
8
What is the third root of 124748457 to the nearest integer?
500
What is the fourth root of 110817741 to the nearest integer?
103
What is the eighth root of 67779056 to the nearest integer?
10
What is the square root of 32410311 to the nearest integer?
5693
What is the cube root of 310530432 to the nearest integer?
677
What is the eighth root of 40528687 to the nearest integer?
9
What is 4046681045 to the power of 1/3, to the nearest integer?
1594
What is the eighth root of 114889964 to the nearest integer?
10
What is 6361745 to the power of 1/2, to the nearest integer?
2522
What is the cube root of 138266647 to the nearest integer?
517
What is the cube root of 1035554960 to the nearest integer?
1012
What is the cube root of 6909846351 to the nearest integer?
1905
What is the third root of 664854067 to the nearest integer?
873
What is 1629293558 to the power of 1/2, to the nearest integer?
40365
What is the cube root of 2856312264 to the nearest integer?
1419
What is 635206774 to the power of 1/4, to the nearest integer?
159
What is 27511043 to the power of 1/6, to the nearest integer?
17
What is the sixth root of 3207529663 to the nearest integer?
38
What is 9256308610 to the power of 1/5, to the nearest integer?
98
What is the third root of 384146354 to the nearest integer?
727
What is the third root of 387423627 to the nearest integer?
729
What is 1839634820 to the power of 1/3, to the nearest integer?
1225
What is 19301933 to the power of 1/2, to the nearest integer?
4393
What is the square root of 158478014 to the nearest integer?
12589
What is the fifth root of 2737869473 to the nearest integer?
77
What is 6798253 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 63243511 to the nearest integer?
20
What is the cube root of 125404273 to the nearest integer?
501
What is 263676529 to the power of 1/3, to the nearest integer?
641
What is the tenth root of 463827525 to the nearest integer?
7
What is the third root of 125959972 to the nearest integer?
501
What is the tenth root of 33344550 to the nearest integer?
6
What is 809329410 to the power of 1/2, to the nearest integer?
28449
What is the eighth root of 503465576 to the nearest integer?
12
What is 24789680 to the power of 1/3, to the nearest integer?
292
What is the square root of 26360208 to the nearest integer?
5134
What is 29619568 to the power of 1/3, to the nearest integer?
309
What is 3228791296 to the power of 1/9, to the nearest integer?
11
What is 2176790053 to the power of 1/10, to the nearest integer?
9
What is 68784970 to the power of 1/4, to the nearest integer?
91
What is 123570499 to the power of 1/9, to the nearest integer?
8
What is the fourth root of 83247659 to the nearest integer?
96
What is the seventh root of 415538383 to the nearest integer?
17
What is 1264391463 to the power of 1/2, to the nearest integer?
35558
What is the fourth root of 439145058 to the nearest integer?
145
What is the cube root of 452484389 to the nearest integer?
768
What is the fifth root of 534898064 to the nearest integer?
56
What is 3306956718 to the power of 1/3, to the nearest integer?
1490
What is 70866064 to the power of 1/6, to the nearest integer?
20
What is the third root of 141680685 to the nearest integer?
521
What is the fourth root of 58890029 to the nearest integer?
88
What is the square root of 27941954 to the nearest integer?
5286
What is the tenth root of 5294581267 to the nearest integer?
9
What is the sixth root of 242164149 to the nearest integer?
25
What is the fifth root of 665840672 to the nearest integer?
58
What is the sixth root of 16462511 to the nearest integer?
16
What is 44718627 to the power of 1/4, to the nearest integer?
82
What is the fourth root of 137214167 to the nearest integer?
108
What is the cube root of 3550603644 to the nearest integer?
1526
What is the sixth root of 129526822 to the nearest integer?
22
What is 2542555969 to the power of 1/2, to the nearest integer?
50424
What is the sixth root of 1308163272 to the nearest integer?
33
What is 975917120 to the power of 1/9, to the nearest integer?
10
What is the square root of 29640296 to the nearest integer?
5444
What is 750860651 to the power of 1/2, to the nearest integer?
27402
What is the square root of 5155279623 to the nearest integer?
71800
What is 81241788 to the power of 1/3, to the nearest integer?
433
What is 5261764790 to the power of 1/10, to the nearest integer?
9
What is the ninth root of 828227255 to the nearest integer?
10
What is 342305323 to the power of 1/2, to the nearest integer?
18501
What is 213711403 to the power of 1/7, to the nearest integer?
15
What is the cube root of 399690362 to the nearest integer?
737
What is 707871447 to the power of 1/2, to the nearest integer?
26606
What is 222768405 to the power of 1/2, to the nearest integer?
14925
What is 64472445 to the power of 1/7, to the nearest integer?
13
What is the cube root of 252046586 to the nearest integer?
632
What is 430527860 to the power of 1/5, to the nearest integer?
53
What is the cube root of 271745830 to the nearest integer?
648
What is 292587309 to the power of 1/3, to the nearest integer?
664
What is the third root of 204731497 to the nearest integer?
589
What is 149322224 to the power of 1/2, to the nearest integer?
12220
What is the square root of 60036305 to the nearest integer?
7748
What is the seventh root of 1097601702 to the nearest integer?
20
What is 1328627967 to the power of 1/2, to the nearest integer?
36450
What is 387942759 to the power of 1/3, to the nearest integer?
729
What is the square root of 2004462305 to the nearest integer?
44771
What is 24872612 to the power of 1/10, to the nearest integer?
5
What is the square root of 260081343 to the nearest integer?
16127
What is 4869038818 to the power of 1/3, to the nearest integer?
1695
What is the square root of 2037775126 to the nearest integer?
45142
What is the tenth root of 13816002 to the nearest integer?
5
What is the square root of 168333951 to the nearest integer?
12974
What is the eighth root of 473823651 to the nearest integer?
12
What is the sixth root of 50514521 to the nearest integer?
19
What is 147754973 to the power of 1/6, to the nearest integer?
23
What is the seventh root of 655090832 to the nearest integer?
18
What is 162683086 to the power of 1/9, to the nearest integer?
8
What is 6424165 to the power of 1/2, to the nearest integer?
2535
What is the tenth root of 67727196 to the nearest integer?
6
What is the third root of 1070257450 to the nearest integer?
1023
What is 2397965602 to the power of 1/8, to the nearest integer?
15
What is the third root of 1563795019 to the nearest integer?
1161
What is 3857561455 to the power of 1/2, to the nearest integer?
62109
What is the cube root of 14634762 to the nearest integer?
245
What is 4139141 to the power of 1/7, to the nearest integer?
9
What is 178236041 to the power of 1/2, to the nearest integer?
13351
What is the square root of 46160982 to the nearest integer?
6794
What is 5153371701 to the power of 1/3, to the nearest integer?
1727
What is the third root of 647014899 to the nearest integer?
865
What is the square root of 4937362276 to the nearest integer?
70266
What is 747768021 to the power of 1/2, to the nearest integer?
27345
What is the eighth root of 898754395 to the nearest integer?
13
What is the third root of 140779985 to the nearest integer?
520
What is the third root of 732553602 to the nearest integer?
901
What is 159876410 to the power of 1/3, to the nearest integer?
543
What is 418343878 to the power of 1/3, to the nearest integer?
748
What is the cube root of 8115708979 to the nearest integer?
2010
What is the eighth root of 4081031245 to the nearest integer?
16
What is the sixth root of 946003405 to the nearest integer?
31
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 432/5 = 0.
1, 6
What is n in 100/13*n + 24/13*n**3 - 16/13 + 18/13*n**4 - 166/13*n**2 = 0?
-4, 1/3, 2
Let x = 273 - 271. Let h(i) be the third derivative of 1/30*i**4 + 0*i + 3*i**x + 0 - 1/100*i**5 - 1/30*i**3. Solve h(l) = 0.
1/3, 1
What is k in 21/2 + 3/4*k**2 + 27/4*k = 0?
-7, -2
Let i be 4/3*-3 + 0. Let b be ((-4)/i)/(4/56). Suppose -2*l**5 + 2*l**4 + 6*l**3 + 12*l - b*l + 2 - 4*l**2 - 2*l**3 = 0. Calculate l.
-1, 1
Factor -8/5 - 2*f**2 - 2/5*f**3 - 16/5*f.
-2*(f + 1)*(f + 2)**2/5
Find h, given that 0 + 2/3*h**3 + 20/9*h + 34/9*h**2 = 0.
-5, -2/3, 0
Suppose 0 = -3*d + 5*b - 20, 4*b - 16 = 75*d - 79*d. Factor 0*f**3 + d + 1/5*f**4 + 2/5*f - 3/5*f**2.
f*(f - 1)**2*(f + 2)/5
Let i = 10 + 4. Suppose 16 = 3*n - i. Factor 5*d - 3*d**4 - 8 - 110*d**3 + 100*d**3 + 5*d**5 + 3 - 2*d**4 + n*d**2.
5*(d - 1)**3*(d + 1)**2
Let f(l) = -l**3 - 5*l**2. Let p(h) = h**2 - 6*h + 6. Let m(z) = -z + 1. Let i(q) = 6*m(q) - p(q). Let c(g) = f(g) - 4*i(g). Factor c(b).
-b**2*(b + 1)
Let l = -128849/3 + 42950. Suppose -1/3*z - l*z**2 + 0 = 0. Calculate z.
-1, 0
Solve -4*q**2 + 11476*q - 616 - 22845*q + 11469*q = 0.
11, 14
Factor 158/3*t - 3200/3*t**3 + 2/3 + 3040/3*t**2.
-2*(t - 1)*(40*t + 1)**2/3
Solve 65*p**2 - 48 + 34*p**3 - 20*p**4 + 6*p**3 + 16*p**4 - 181*p**2 + 128*p = 0.
1, 2, 6
Determine o so that -864 - 914*o + 498*o**2 - 614*o**4 + 206*o**4 + 843*o**3 + 48*o**5 - 526*o = 0.
-3/4, 2, 4
Let d(h) be the second derivative of -h**6/480 - h**5/32 + 3*h**4/16 + 11*h**3/6 + 31*h. Let t(u) be the second derivative of d(u). Factor t(f).
-3*(f - 1)*(f + 6)/4
Let w = 72 + -67. Suppose -w*r + 9 = -11. Suppose -8/5*k**4 - 8/5*k - 16/5 + 2/5*k**5 + 2/5*k**3 + r*k**2 = 0. What is k?
-1, 2
Let c(w) be the first derivative of w**3/15 - 76*w**2/5 + 151*w/5 + 535. Let c(g) = 0. Calculate g.
1, 151
Let j(y) = y**3 - 5*y**2 - 7*y + 9. Let a = 70 - 64. Let l be j(a). Suppose -1/3*z**2 - 1 - 1/3*z**l + 5/3*z = 0. Calculate z.
-3, 1
Let o = -266 + 802/3. Let c(i) be the first derivative of 4 + o*i**3 - 11/12*i**2 - 13/12*i**4 + 7/15*i**5 - 1/12*i**6 + 1/3*i. Find z, given that c(z) = 0.
2/3, 1
Let q(s) = -10*s - 7. Let p be q(-3). Let x = p + -19. Let 4*c**3 + 6*c**x + 0*c**4 - 3*c**3 - 7*c**4 = 0. Calculate c.
0, 1
Suppose 2*o = -0*k - 2*k + 348, 0 = -2*k + o + 339. Let s be k/(-38)*(-3)/18. Suppose -s*m**5 - 9/4*m**4 + 3/4 + 3/2*m**2 - 3/2*m**3 + 9/4*m = 0. Calculate m.
-1, 1
Let s(o) = o**5 - 3*o**4 - o**2 + o - 1. Let r(z) = 10*z**5 - 54*z**4 + 111*z**3 - 70*z**2 + 13*z + 5. Let b(p) = r(p) + 5*s(p). Determine g so that b(g) = 0.
0, 3/5, 1, 2
Let h be (-3 + 3/(-5))*5. Let y be (1/10)/(h/(-945)). Factor -27/4*q**3 + y*q**2 - 3/4*q**5 + 0 + 15/4*q**4 - 3/2*q.
-3*q*(q - 2)*(q - 1)**3/4
Let t be 0/(1/((-1)/(-2))). Let q(o) be the first derivative of 2 + 1/8*o**4 - 1/6*o**3 + t*o - 1/2*o**2. What is i in q(i) = 0?
-1, 0, 2
Factor 105*k**2 - 86*k - 2*k**3 - 44*k + 30*k**2 - 3*k**3.
-5*k*(k - 26)*(k - 1)
Let a be ((-12)/16)/(135/(-36)). Let f(r) be the first derivative of 0*r - 1/8*r**4 + 4 + 0*r**3 + a*r**5 - 1/12*r**6 + 0*r**2. Factor f(s).
-s**3*(s - 1)**2/2
Suppose 0 = -4*g + 6 + 2. Factor g + 10 + 3*q**4 + 3*q - 9*q**2 - 3*q**3 - 6.
3*(q - 2)*(q - 1)*(q + 1)**2
Let x(i) be the first derivative of i**5/20 - i**4/6 - 11*i - 11. Let p(w) be the first derivative of x(w). Determine a, given that p(a) = 0.
0, 2
Let c = 11 - 6. Let o(u) = -12*u**4 - 16*u**3 + 52*u**2 + 24*u + 16. Let f(b) = -4*b**4 - 5*b**3 + 17*b**2 + 8*b + 5. Let k(m) = c*o(m) - 16*f(m). Factor k(y).
4*y*(y - 2)*(y + 1)**2
Determine u so that 192 - 44/3*u**2 - 4/3*u**3 + 1/3*u**4 + 32*u = 0.
-4, 6
Let l = -8 + 6. Let b(w) = -6*w**2 - 18*w. Let g(f) = 19*f**2 + 55*f. Let v(y) = l*g(y) - 7*b(y). Let v(h) = 0. Calculate h.
-4, 0
Let h(y) be the first derivative of 6*y**3 - 200*y**2/11 + 8*y/11 - 110. Factor h(r).
2*(r - 2)*(99*r - 2)/11
Let c = 117 + -70. Determine m, given that -c*m**4 + 42*m**4 + 4*m**2 + 5*m**3 + m**2 - 5*m = 0.
-1, 0, 1
Let p = 46 + -43. Let u be (p/(-4) + 1 - 1)/(-3). Factor 0*m + 1/4 - u*m**2.
-(m - 1)*(m + 1)/4
Let w be (-247)/(-62) - (4 - -1 - 1). Let m = w - -65/186. Factor -m*l + 1/3*l**2 - 2/3.
(l - 2)*(l + 1)/3
Let k = 197/672 - -13/96. Solve -15/7*f - 18/7 + k*f**2 = 0.
-1, 6
Let y(f) be the second derivative of f**6/225 - 7*f**5/150 + f**4/6 - 13*f**3/45 + 4*f**2/15 + 76*f. Determine s so that y(s) = 0.
1, 4
Find d such that -5/4*d**2 - 1/8*d**3 + 0 + 11/8*d = 0.
-11, 0, 1
Let m(q) be the third derivative of -q**6/24 + 35*q**4/24 - 5*q**3 + q**2 - 2. Factor m(l).
-5*(l - 2)*(l - 1)*(l + 3)
Let r(f) be the third derivative of f**9/40320 + f**8/6720 - f**7/840 - f**6/60 - f**5/30 - 2*f**2. Let a(t) be the third derivative of r(t). Factor a(u).
3*(u - 2)*(u + 2)**2/2
Let t(n) = 9*n**4 - 32*n**3 + 67*n**2 - 32*n - 17. Let l(b) = -10*b**4 + 33*b**3 - 69*b**2 + 32*b + 18. Let v(u) = 5*l(u) + 6*t(u). Solve v(d) = 0 for d.
-1/4, 2, 3
Let a(g) be the third derivative of g**7/210 + g**6/12 + 9*g**5/20 + 3*g**4/4 - 6*g**2 + 49*g. Suppose a(p) = 0. Calculate p.
-6, -3, -1, 0
Suppose 116*w - 31*w**2 + 62 + 61*w**2 + 22*w**2 - 2 - 4*w**3 = 0. What is w?
-1, 15
Let o(t) be the first derivative of -27/2*t**4 + 2 + 0*t - 3/2*t**2 + 42/5*t**5 + 15/2*t**3. Let o(k) = 0. What is k?
0, 2/7, 1/2
Let a(v) = -6*v**2 - 41*v - 264. Let y(d) = -d**2 - 8*d - 53. Let p(l) = -2*a(l) + 11*y(l). Factor p(o).
(o - 11)*(o + 5)
Let s be ((-4)/(-3))/(0 - (-2)/9). Factor -s*x**2 + 2*x**2 + 12 + 0*x**2 - 8*x.
-4*(x - 1)*(x + 3)
Determine u, given that -74*u**2 + 114*u**3 + 155*u**2 + 3*u**4 + 108*u + 138*u**2 = 0.
-36, -1, 0
Let i(t) be the first derivative of t**3/4 - 21*t**2/8 + 9*t/2 + 29. Factor i(z).
3*(z - 6)*(z - 1)/4
Suppose -1/4*o**5 - 3/4*o**4 - 1/2*o**3 + 1/4 + 3/4*o + 1/2*o**2 = 0. What is o?
-1, 1
Let m(p) be the second derivative of -p**7/2520 + p**6/90 + 3*p**5/40 + 5*p**4/6 + p**2/2 + 2*p + 11. Let x(t) be the third derivative of m(t). Factor x(q).
-(q - 9)*(q + 1)
Let f(y) be the first derivative of -y**6/12 + 9*y**4/4 - 81*y**2/4 + 37. Suppose f(q) = 0. What is q?
-3, 0, 3
Let y = -15915 - -15917. Factor 2/3*k - 2/5 - 2/15*k**y - 2/15*k**3.
-2*(k - 1)**2*(k + 3)/15
Let o be (-7 + -3 - 1)/(-1). Suppose o*b = -4 + 4. Factor -2*h**3 + b + 4/5*h**4 - 2/5*h + 8/5*h**2.
2*h*(h - 1)**2*(2*h - 1)/5
Let w(c) be the first derivative of c**8/13440 + c**7/3360 - c**6/960 - c**5/240 + c**4/48 + 2*c**3 + 1. Let d(n) be the third derivative of w(n). Factor d(b).
(b - 1)**2*(b + 2)**2/8
Let g be -1 + 5 + 148/8*-4. Let b be (-122)/g - 2/(-5). Factor 3*j**4 - b*j**3 + 0 + 3/7*j**2 + 0*j - 9/7*j**5.
-3*j**2*(j - 1)**2*(3*j - 1)/7
Let r(v) = v**3 - 3*v**2 + v. Let w(u) = -u**5 + 21*u**4 - 24*u**3 - 44*u**2 + 95*u - 40. Let k(m) = -21*r(m) - 3*w(m). Factor k(p).
3*(p - 20)*(p - 1)**3*(p + 2)
Let w(o) = 3*o + 25. Let f be w(0). Find p, given that 18 + 6*p**2 + f + 7*p - 45 - 2*p**2 = 0.
-2, 1/4
Let m(d) be the third derivative of -d**8/1008 + d**7/1260 + d**6/60 + d**5/36 - d**4/72 - d**3/12 + 189*d**2. Find z, given that m(z) = 0.
-1, 1/2, 3
Let x be 11/44 + ((-217)/(-140) - 3/(-15)). Determine b, given that -2/9*b**x + 0 - 8/9*b**3 + 0*b = 0.
-1/4, 0
Let d(z) = z + 1. Let c(f) = -2*f**4 - 2*f**3 + 12*f**2 - 6*f - 6. Let a(l) = c(l) + 6*d(l). Factor a(h).
-2*h**2*(h - 2)*(h + 3)
Let h be (-630)/(-130) - (-4)/26. Factor -250*r + r**5 - r**3 + 14*r**2 - h*r**3 + 3 - r**4 + 239*r.
(r - 1)**4*(r + 3)
Let d(f) be the first derivative of -f**3 - 69*f**2/2 - 66*f - 73. Factor d(k).
-3*(k + 1)*(k + 22)
Let c(i) be the second derivative of i**6/6 + i**5 + 5*i**4/3 - 10*i + 9. Factor c(l).
5*l**2*(l + 2)**2
Factor 0 - 196/9*k**3 - 184/9*k**2 - 50/9*k**4 + 16/9*k.
-2*k*(k + 2)**2*(25*k - 2)/9
Let w(u) be the first derivative of 12*u**5/5 + 29*u**4 + 24*u**3 + 545. Suppose w(n) = 0. What is n?
-9, -2/3, 0
Suppose -5*t + 2*d = -18, -4*d + 1 = 17. Let s = 24325/4 - 6081. Factor 0 + g**t - s*g.
g*(4*g - 1)/4
Factor 93/5*d + 9/5*d**4 + 14/5 + 83/5*d**3 + 153/5*d**2.
(d + 1)**2*(d + 7)*(9*d + 2)/5
Let g be ((-22)/6*-1 - 36/18) + -1. Determine r, given that 4*r - 6 - g*r**2 = 0.
3
Let m(h) be the third derivative of h**8/112 - 33*h**7/280 + 23*h**6/40 - 109*h**5/80 + 27*h**4/16 - h**3 + 153*h**2. Find r such that m(r) = 0.
1/4, 1, 2, 4
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
00*d**3 - 30
Let c(p) = 2*p**3 + 2*p - 1. Let t(r) = -66*r**3 - 451*r**2 - 6*r + 3. Let l(a) = 3*c(a) + t(a). What is the third derivative of l(b) wrt b?
-360
Let p be 9/1 + (-24)/4. Suppose -3*y + 5*y - t = 7, y + 2*t - 6 = 0. Find the second derivative of -5*c - 6*c - 8*c**y + p*c wrt c.
-96*c**2
Let n(f) be the second derivative of -f**6/6 + 25*f**4/24 - 8*f**2 + 20*f. Let s(z) be the first derivative of n(z). Find the second derivative of s(b) wrt b.
-120*b
Let i(m) = 163*m**2 - 98*m. Let k(w) = -1140*w**2 + 685*w. Let s(h) = 15*i(h) + 2*k(h). What is the second derivative of s(a) wrt a?
330
What is the second derivative of -46*r + 363*r**2 - 307*r**2 - 80*r wrt r?
112
Let p(j) = -j**2 + 44*j - 157. Let z be p(40). Let w(u) be the second derivative of -u**2 - 6*u + 0*u**z + 0 - 1/12*u**4. What is the derivative of w(q) wrt q?
-2*q
Let t(h) be the first derivative of -347*h**6/6 - h**5/5 + 9*h**3 - h**2 - 549. Find the third derivative of t(b) wrt b.
-20820*b**2 - 24*b
Suppose 0 = -2*z + 21 + 7. Let i = 0 - -3. What is the first derivative of -z + 2*f**3 + 3*f**i + 9 wrt f?
15*f**2
Let o(n) be the first derivative of 4*n**7/7 - 3*n**4/4 + 38*n**3/3 - 221. What is the third derivative of o(u) wrt u?
480*u**3 - 18
Let i(m) = -14*m + 46. Let u(l) be the first derivative of -15*l**2/2 + 45*l - 42. Let q(k) = 2*i(k) - 3*u(k). What is the first derivative of q(f) wrt f?
17
Let r(c) = -26*c**3 - 3*c**2 + 29. Let w(o) = 51*o**3 + 5*o**2 - 59. Let t = -8 - -11. Let f(x) = t*w(x) + 5*r(x). Differentiate f(a) wrt a.
69*a**2
Let o = 158 + -156. Let l(j) = -71*j + 115. Let t(s) = 24*s - 39. Let r(v) = o*l(v) + 7*t(v). What is the first derivative of r(y) wrt y?
26
Let x(p) = -p**3 - p**2 + 551. Let t be x(0). What is the second derivative of -2*d**5 - t*d**4 + d + 551*d**4 wrt d?
-40*d**3
Let m(r) be the third derivative of r**6/72 + r**4/6 + r**3/6 - 15*r**2. Let o(y) be the first derivative of m(y). Differentiate o(d) wrt d.
10*d
Let v(k) be the first derivative of 381*k**5/5 - 16*k**2 + 4*k + 108. What is the second derivative of v(i) wrt i?
4572*i**2
Let n = -224 + 363. Find the second derivative of 25*r**4 - n - 20*r + 139 wrt r.
300*r**2
Let v(m) be the second derivative of 21*m**5/4 + 121*m**3/6 - 217*m. Find the second derivative of v(b) wrt b.
630*b
Let u(a) be the first derivative of 0*a**4 + 0*a - a**5 + 4/3*a**3 + 0*a**2 - 2. What is the third derivative of u(f) wrt f?
-120*f
Find the third derivative of -175*q**6 - 2*q**2 - 29*q**6 - 15 - 46*q**4 + 46*q**4 + 6*q**2 wrt q.
-24480*q**3
Find the first derivative of 802 - g**3 + 4*g - 787 - g + 2*g**3 wrt g.
3*g**2 + 3
What is the third derivative of 4*v**2 - 3738*v**4 + 3791*v**4 + 17*v**2 - 6*v wrt v?
1272*v
Let k(a) = -a**3 - 7*a**2 - 6*a + 6. Let m be k(-6). Find the second derivative of -10*h**5 + h**5 + m*h**5 - h**5 + 7*h wrt h.
-80*h**3
Let a(j) be the first derivative of 91*j**5/5 - 96*j**2 + 219. What is the second derivative of a(k) wrt k?
1092*k**2
Let m = 21 - 36. Let q = m + 18. Find the first derivative of -2*d**q + 1 + 9 + 0*d**3 - 2*d**3 wrt d.
-12*d**2
Let v(q) = -q**3 - 3*q**2 + 2*q + 1. Let o be v(-4). Let j = -5 + o. What is the second derivative of -23*f**3 + 23*f**3 - j*f - f**5 wrt f?
-20*f**3
Suppose -3 = -l - k, -3*l + 9 = 2*k + 3*k. What is the second derivative of -7*o**l + 34*o - 16*o**3 - 5*o**3 + 0*o**3 wrt o?
-168*o
Let n be (0 + -3 - 1)*1. Let r(h) = -39*h**2 - 5*h - 4. Let b(j) = 1. Let k(x) = n*b(x) - r(x). What is the second derivative of k(u) wrt u?
78
Find the first derivative of 3*j + 42 + 9*j**3 + 4*j**3 - j**3 + j wrt j.
36*j**2 + 4
Let b(x) be the first derivative of -37 + 8/3*x**3 + 3*x + 0*x**2. What is the derivative of b(k) wrt k?
16*k
Suppose -11*l + 13*l - 4 = 0. What is the second derivative of -60*n**2 + 30*n + 60*n**l - n**5 wrt n?
-20*n**3
Let i(k) be the second derivative of -26*k**6/5 - k**4/2 - 11*k**3/2 + 372*k. Find the third derivative of i(w) wrt w.
-3744*w
Let t(j) be the first derivative of 143*j**2/2 - 25*j + 179. Differentiate t(v) wrt v.
143
Let d(g) be the first derivative of 2*g**3 + 811*g**7 - 410*g**7 + 51 - 407*g**7. Find the third derivative of d(a) wrt a.
-5040*a**3
Let m = -108 + 134. What is the second derivative of -26*k + 21*k**3 + 20*k + 11*k**3 - m*k wrt k?
192*k
Let r(i) = 10*i**2 + 9*i - 6. Let a be r(-9). What is the third derivative of 25*x**2 + 723 - a - 32*x**3 wrt x?
-192
Let y(k) be the second derivative of -173*k**8/28 - k**7/42 - 149*k**4/12 - 58*k. Find the third derivative of y(z) wrt z.
-41520*z**3 - 60*z**2
Suppose -y - 2*y = 195. Let p be (-6)/(-39) - 250/y. Differentiate c**2 - p + 18 - 10 wrt c.
2*c
Let x(l) be the second derivative of 37*l**5/20 + l**4/12 - l**3/2 + 7*l**2/2 + 12*l - 6. What is the second derivative of x(w) wrt w?
222*w + 2
Let a(q) be the third derivative of 55*q**9/252 + 241*q**5/60 - 28*q**2 - 2. Find the third derivative of a(t) wrt t.
13200*t**3
Suppose 0 = -2*l - 12 + 50. Differentiate l*v**3 - 4*v + 4*v - 28*v**3 + 1 wrt v.
-27*v**2
Let m be ((-36)/(-30))/((-6)/(-10)). Suppose m*b - 5*z - 60 = -3*b, -z + 27 = 2*b. Find the first derivative of 2*w - b*w + 4 - 9 wrt w.
-11
Let g(v) be the third derivative of -v**8/8 - v**7/210 + 19*v**5/15 - 187*v**2. What is the third derivative of g(u) wrt u?
-2520*u**2 - 24*u
Let a be (-1 + (-218)/(-8))*(13 + -9). Find the second derivative of 105*l**2 - 19*l - a*l**2 + 15*l**3 wrt l.
90*l
Let r(u) be the third derivative of 83*u**7/30 + 31*u**3/6 - 652*u**2. Differentiate r(h) wrt h.
2324*h**3
Let t be 2/(-7) - (894/(-42) - -3). What is the third derivative of 11*h**2 - 4*h**3 - t*h**2 - 4*h**3 wrt h?
-48
What is the third derivative of -10*y**2 - 171*y**6 + 1 + y**3 - 2 + 101*y**6 wrt y?
-8400*y**3 + 6
Let a(m) be the second derivative of 47*m**6/6 + 23*m**2 + 50*m. What is the first derivative of a(h) wrt h?
940*h**3
Let f(y) be the third derivative of y**7/42 + 11*y**6/120 + 39*y**5/20 + 50*y**2. What is the third derivative of f(k) wrt k?
120*k + 66
Find the second derivative of 65*x - 43*x - 2*x + 127*x + 498*x**2 wrt x.
996
Suppose -25 = 2*v - 6*v + d, -4*v + 26 = -2*d. Find the third derivative of -30*u**6 - 2 + 2 - 4*u**v + 43*u**2 wrt u.
-4080*u**3
Suppose 0 = -2*j + 2 + 2. What is the third derivative of -o**2 - 8*o**5 - o**j + 11*o**2 wrt o?
-480*o**2
Let h be (-4)/3 - -2 - (-150)/18. What is the derivative of 0*y**2 + 0*y**2 - 24 + 39 + h*y**4 wrt y?
36*y**3
Suppose x + 3*c + 0*c = 4, -5*x - 4*c + 20 = 0. Suppose 3*y = -x*t + 17, -y + 6 = t + 1. Find the second derivative of -12*n**4 + 6*n - 2*n - t*n wrt n.
-144*n**2
What is the third derivative of -19 + 4*q**2 + 14*q**4 + 15 - 2*q**5 + 22*q**4 + 4*q**5 wrt q?
120*q**2 + 864*q
Suppose -2*c = 42 - 56. What is the derivative of -15 + 7 - 6*j**2 - c - 21*j**2 wrt j?
-54*j
Differentiate 110*j**2 - 32*j**4 - 56*j**2 - 54*j**2 + 68 with respect to j.
-128*j**3
Let n(i) be the second derivative of -55/42*i**7 + 53/6*i**3 + 0*i**6 - 1 + 0*i**2 + i + 0*i**4 + 0*i**5. What is the second derivative of n(a) wrt a?
-1100*a**3
Let j(b) be the first derivative of -19*b**6/30 - b**4/2 - 21*b + 1. Let i(s) be the first derivative of j(s). Find the third derivative of i(r) wrt r.
-456*r
Let i be (-19)/(-6) + 6/(-36). Suppose -i*a + v + 38 = 2*v, 5*v - 14 = a. Find the third derivative of a - l**2 + 8*l**2 - 4*l**5 - 11 wrt l.
-240*l**2
Let d(w) be the second derivative of -13*w**7/840 + 7*w**4/6 + 23*w**3/6 - 3*w. Let o(n) be the second derivative of d(n). What is the derivative of o(m) wrt m?
-39*m**2
What is the third derivative of 2 - 1169*h**5 - 2 + 80*h**2 + 1162*h**5 wrt h?
-420*h**2
Let q = 5 - 1. What is the second derivative of -13*g + 22*g - 14*g + g**q wrt g?
12*g**2
Suppose 6*g - 8 = 10*g. Let o(i) = 56*i**2 - i - 3. Let p be o(g). What is the second derivative of 223*x**3 + x - p*x**3 + 13*x**4 wrt x?
156*x**2
Suppose v - 6*v + 50 = 0. Let y = v - 6. What is the first derivative of -5*p + 3*p + 3*p + 3*p - y wrt p?
4
Let w(o) = -3*o - 8. Let b be w(-4). Suppose -4*y + 6 = 5*x - 1, 3*x - b*y = 17. Find the third derivative of 9*z**2 + 11*z**x - 8*z**2 + 4*z**2 wrt z.
66
Let m be (-6)/18 - (-116)/6. Suppose 4*j = 5*x + m, -5*x - 21 = -3*j - 8*x. Find the second derivative of -13*y
|
{
"pile_set_name": "DM Mathematics"
}
|
m = -123 + 122.9. What is the nearest to m in 5, 2/13, c?
c
Let w = 8.2 - 10.2. Let t be 7/6 + 0 + -1. Which is the nearest to -1/2? (a) w (b) 0.1 (c) t
b
Let n = 0.59 + -0.29. What is the nearest to 0 in -0.2, n, 0.4?
-0.2
Let m = 178 + -1603/9. Let h be -1*((-2 - -1) + 2). Which is the closest to h? (a) 0.1 (b) 1 (c) m
c
Let y = -3 + 3.16. Let z = y + 0.04. Which is the closest to z? (a) 5 (b) 0 (c) -2
b
Let d(t) = 5*t**2 + 1. Let z be d(1). Suppose 0 = 3*k + z - 18. Suppose r + 2*b + 3 = 0, b = r - k*b + 3. What is the closest to -1 in -0.3, -0.5, r?
-0.5
Let l = 4.1 + 0.9. Let j = 10.6 - 11. Which is the closest to 1/3? (a) -1/4 (b) j (c) l
a
Let l be (-2)/(-5) - (-816)/(-1190). Which is the nearest to 24? (a) -4 (b) 4 (c) l
b
Let y = -1318/7 - -188. What is the closest to -2/9 in y, -2, 2?
y
Let y = -123 + 367/3. Suppose 2 = 4*j + 14. What is the closest to -2/5 in 2/3, y, j?
y
Suppose g - 13 = 2*t, -5*g = 2*t - g - 12. Let p = t + 4. Let x = 0.06 - -3.94. Which is the closest to -1? (a) -2/3 (b) x (c) p
a
Let b = -3 + 4. Let o = 14.5 - 9.38. Let z = -0.12 + o. What is the nearest to b in z, -5, -0.1?
-0.1
Suppose 0 = q - 0*q + 3. What is the nearest to 1 in q, 2/13, -1/5?
2/13
Let h = 10 - 11. What is the closest to h in -0.4, -1, 1?
-1
Let y be 2/3 + 14/6. Suppose 2*j + 5*d + 14 = -0*j, d - 4 = y*j. Let m = -2 + 3. Which is the closest to m? (a) 2 (b) j (c) 1/8
c
Let x = 0.37 + -1.37. What is the nearest to x in 0, 1/25, -1?
-1
Let y = 3 - 3. Let k = y + -0.3. What is the closest to k in -1/6, 2/11, 1?
-1/6
Let q = 31 - 31. Which is the nearest to -3? (a) 0.2 (b) 1/2 (c) q
c
Suppose 2*w + 0 = 2. Let n be w/(2/10*-1). Let o = 0.056 + 0.044. Which is the closest to -0.2? (a) o (b) n (c) -2/7
c
Let y = 3.043 - 0.043. What is the nearest to y in 0, 2, 5?
2
Suppose 4*y - 12 = 0, 0 = -3*m - y - 2*y + 18. Let h be m/2*(-8)/(-6). Which is the closest to -1? (a) -0.3 (b) -2 (c) h
a
Let n = 1.1 - 2.1. Suppose 1 + 8 = 3*u. Which is the closest to n? (a) u (b) 1 (c) 2
b
Let m = -77.8 - -78. Which is the closest to m? (a) 3 (b) -5 (c) -0.5
c
Let k be 0 + (3 - (-76)/(-28)). What is the nearest to 2/7 in 2, 1/10, k?
k
Let a be (-1)/(-2) - 7/2. Let n = a - 0. Let l be -2 + (-2)/(-3)*n. What is the closest to -0.1 in l, 3/2, -0.1?
-0.1
Let k(w) = -w**3 + 6*w**2 + 8*w - 4. Let s(n) = n + 1. Let p be s(6). Let r be k(p). What is the nearest to 2 in 2/7, r, 2?
2
Let y = -0.1 + 0.1. Let q = 0.2 + y. Let d = 0.34 - 0.14. What is the nearest to q in -0.4, d, 2?
d
Let x = -30 - -35. Let s be 27/(-10)*(-35)/12. Let a = -8 + s. What is the closest to -1/5 in x, a, 1/2?
a
Let s = -35/3 + 11. What is the closest to 2 in s, 2, 1/2?
2
Let r be (-36)/(-63) - (-3)/7. Which is the closest to r? (a) 3/2 (b) -18 (c) 2/17
a
Let u = 127/133 + -10/19. Which is the nearest to -4? (a) u (b) 2/17 (c) -0.3
c
Let z = -3/28 + 5/14. Let v = 173/3 - 57. Which is the nearest to z? (a) v (b) -2/3 (c) 3
a
Let y(x) = -x**2 + 4*x - 1. Let n be y(5). Let g be ((-1)/(-2))/(1/n). Let w = g - -4. Which is the closest to w? (a) -1/2 (b) 0.4 (c) -3/4
b
Let k be 29/(-9) + 8/36. Let s be k/(-5) + (-2)/(-30). Which is the closest to 0? (a) -3 (b) s (c) 2
b
Let f = 20 + -36. Let x be 38/f - (-3 + 1). Which is the nearest to 0? (a) x (b) 5 (c) -0.3
c
Let w = 73 + -74. Let q = 0.6 + -2.6. Which is the nearest to -0.1? (a) w (b) 4 (c) q
a
Let i = 388/1407 + 2/201. Let x be 4/3*(-6)/44. What is the nearest to -0.1 in -3/5, i, x?
x
Let o(z) = z**2 - 2*z - 1. Let r be o(4). Let g(f) = 2*f - 9. Let j be g(r). Suppose -t = 1 - 2. Which is the closest to 2? (a) t (b) j (c) -2/9
a
Let q = 2/179 + -368/895. Let y = 0.45 - -0.05. Let o = y + -0.6. Which is the closest to -1? (a) 1 (b) q (c) o
b
Let z = 10 + -5. Let w = 293/5 + -59. Let h = -33 + 229/7. Which is the closest to w? (a) 2/13 (b) h (c) z
b
Let t = 23.2 + -23. Which is the closest to 0? (a) 5 (b) 1 (c) t
c
Let d = -2 - 6. Which is the nearest to -1? (a) 0.2 (b) d (c) 2
a
Let x = -1.2 - -0.2. Let n = 0.23 - -0.12. Let f = 0.15 + n. Which is the nearest to x? (a) 1 (b) -0.5 (c) f
b
Let q = -4.7 - -4. Let z = 1.2 + q. Which is the nearest to 0? (a) 5 (b) z (c) 2
b
Let h = 29/2 - 489/34. Let j = 0.04 + -0.44. Let c = j + 4.4. What is the closest to 0.1 in h, c, -5?
h
Let t = -0.2 - -0.1. Let w be ((-1)/(-24))/((-18)/(-4) - 5). Which is the nearest to t? (a) 5 (b) -3 (c) w
c
Let w = 11.7 + -11.8. What is the nearest to w in 1, 2/7, -0.3?
-0.3
Let f = -814/7 + 116. Let c = 26737/2445 - 164/15. Let a = c - -965/6357. What is the nearest to 2/11 in a, f, 4?
a
Let r be (-1)/9*4 + 0. Suppose 7 = 2*h + t, 6 + 3 = 2*h + 3*t. What is the closest to 0 in -0.4, h, r?
-0.4
Suppose -3*k = -4 + 1. Let u = 0.1 + -1.1. Let y = -96 - -91. What is the closest to u in -2, k, y?
-2
Let y(z) = z + 4. Let d be y(-5). Let a be 10/4*(d + -1). Let q = -2 - -2. What is the closest to q in -2, a, -3?
-2
Let y = -113/4 - -28. Let t = -95/36 - -26/9. Which is the nearest to t? (a) y (b) 0 (c) -3/2
b
Suppose 2*j = -3*m - 148, -2*j + 2*m - m = 140. Let v = 421/6 + j. Which is the closest to -2? (a) -0.4 (b) v (c) -1
c
Let n be 4/(-22) + (-6)/(-33). Let g = 17/26 - 2/13. What is the nearest to g in n, -2/3, 2/7?
2/7
Let r be 220/50 - 8/2. Which is the closest to -2/7? (a) r (b) -5 (c) -2/9
c
Let y = 109 - 113. Which is the closest to y? (a) -3 (b) -0.3 (c) 2
a
Let c = 281/5 - 56. Let j = -241 - -125. Let u = j + 344/3. What is the closest to -3 in u, c, -2/3?
u
Let g = -7 + 3. Let w = -2 - g. Which is the closest to -1/3? (a) 4 (b) w (c) -4
b
Let x be 1*(2 + -4 - -3). Let l = 0.17 + 0.03. Which is the closest to -1/2? (a) 0.1 (b) x (c) l
a
Let a = 12.81 + 0.19. Let m = -9 + a. What is the closest to -1 in 1/2, 1, m?
1/2
Let v be ((-2)/((-8)/(-4)))/(6/9). Let g = 3 - 2. What is the nearest to g in v, -1/6, 5?
-1/6
Let z = 0.26 - 0.06. Let s = z + 3.8. What is the nearest to 5 in 5, s, -0.3?
5
Let w = -0.1 - 0.2. Suppose 0 = -5*o - 6 + 16. Let m be (-3)/3*o/4. What is the closest to 1 in w, 1, m?
1
Let q = -0.082 - 0.018. What is the closest to q in 0, -5, -1?
0
Let h be (-1)/((1 - 2) + 2). Let r = h + 0. Let v be (-4)/((r - 1)/(-2)). What is the nearest to -1 in v, 5, -2/5?
-2/5
Let k be (10/25)/(-2*1). Let d = 4.88 - -0.12. What is the closest to 2/7 in k, 3, d?
k
Let m be ((-3)/10)/(6/8). Let x = -1.8 - -2.1. Which is the nearest to m? (a) x (b) 6/11 (c) 5/4
a
Let f be (16 - 12) + 5*-1. Which is the closest to f? (a) -1/4 (b) -4 (c) -3/5
c
Let f = 0.68 - 0.68. Let z(p) = p**2 - 10*p + 5. Let g be z(10). Let i = 0.4 - 0.1. What is the closest to i in 1, g, f?
f
Let c = -163 - -655/4. Let o = 3.3 + -3. Let v = -0.4 + o. What is the nearest to -1 in v, 2/11, c?
v
Let q = -8 - -13. Which is the nearest to -0.1? (a) q (b) -2 (c) -0.2
c
Let d = -10 + 6. Let o = 0.5 + 2.5. Let v = -9 - -8.6. Which is the nearest to o? (a) d (b) v (c) -1
b
Suppose -12 = 2*w + w. Let t(x) = -x + 17. Let k(v) = -v + 9. Let y(i) = -5*k(i) + 3*t(i). Let u be y(w). Which is the closest to -0.1? (a) 2 (b) u (c) 3
b
Let d = -6 - -10. Let c = -2.43 - -0.03. Let r = c - -2. What is the closest to 2 in r, d, 2/3?
2/3
Let m be 2/9 + (-3 - (-545)/180). Let s be (40/(-22) - -2)/1. What is the closest to 2/5 in 0.3, s, m?
0.3
Let y = -1.5 - -4.5. Suppose 4*u - 6*u = -2. Let m be (-1 + u + -1)*5. Which is the closest to -3/2? (a) y (b) -4 (c) m
b
Let p = -40.5 - -31. Let t = -10 - p. Which is the closest to 2? (a) t (b) -3/7 (c) -5
b
Let o = 518/3 - 173. What is the nearest to o in -4/7, -0.1, -5?
-0.1
Let g = 4 - 2. Let x = 1.6 - 2. What is the nearest to -0.1 in -0.5, g, x?
x
Let b = 1.1 + -5.1. Let a = -19 + 14. What is the closest to 1 in a, 2/7, b?
2/7
Let k = -673/1720 - 3/344. Let o = 0 + 0.1. Which is the nearest to 1? (a) k (b) 2/7 (c) o
b
Let l = 0.1 + -4.1. Which is the nearest to 1? (a) 0 (b) l (c) -2
a
Let f(p) = -p**3 + 9*p**2 + 11*p - 1. Let w be f(10). What is the closest to 1 in w, 0.4, -2?
0.4
Let l = -0.33 - -0.73. What is the nearest to 0 in -5, l, -4/5?
l
Let f = -5 - -9. What is the closest to f in 0.4, -0.2, 5?
5
Let o be (7/(-21))/(1 - 0). Let f be 23/(-5) + 6/(-15). W
|
{
"pile_set_name": "DM Mathematics"
}
|
and -125088?
398280192
What is -101314 times 18.25?
-1848980.5
Multiply -2324.6892 and -0.02.
46.493784
Multiply -90957.03 and 1.
-90957.03
Work out 1 * 30842276.
30842276
What is -75062 times -5?
375310
Multiply -1301.8 and -2.38.
3098.284
Calculate 980.518*-0.0212.
-20.7869816
Calculate 7961*-200.
-1592200
What is -704384673 times -3?
2113154019
7076160*0.5
3538080
What is the product of -115 and -1510470?
173704050
Multiply 13.59 and -11849.
-161027.91
Multiply 241.7 and 2.695.
651.3815
-5 times -15076142
75380710
What is the product of 0.3 and -1900141?
-570042.3
Work out 16.182315 * 0.8.
12.945852
Product of -0.46758 and 18.
-8.41644
What is 5 times -240371968?
-1201859840
What is -35 times -39043?
1366505
9 * -1013.87
-9124.83
What is the product of 3 and -5804400?
-17413200
-0.02 times -810288
16205.76
952.6209 * 0
0
-0.3*41862567
-12558770.1
Work out 367 * 4974.
1825458
Multiply -33.187 and -337.
11184.019
Product of 4697 and 1.46.
6857.62
505.8*9535
4822803
0.19*-121764
-23135.16
Work out -51615 * -4340.
224009100
What is 20025792 times -0.3?
-6007737.6
-2.1 * -53921879
113235945.9
Product of 4301857 and -79.
-339846703
Multiply -470423 and 5.
-2352115
Work out 173.508 * -0.197.
-34.181076
Calculate 1.43657783*-0.5.
-0.718288915
275171*2
550342
What is 971.7 times 7576?
7361599.2
What is the product of -12774198 and 2?
-25548396
Calculate -4*10070409.
-40281636
Product of 16174 and -36416.
-588992384
What is -53.7606 times 470?
-25267.482
Product of 906584 and 369.
334529496
-7931 * 2812.6
-22306730.6
-334 * -2297.9
767498.6
Work out 1736 * -0.0435.
-75.516
-106307*0.04
-4252.28
-10091 * -6624
66842784
Product of -0.5 and -275332.
137666
86675*12.77
1106839.75
3*-34.601873
-103.805619
Calculate 0.917199*-0.19.
-0.17426781
Calculate 51933*1001.
51984933
What is the product of 5.393 and -2.66?
-14.34538
2296.48*-14.2
-32610.016
What is the product of -244 and 492297?
-120120468
Multiply 1 and 1960188.
1960188
What is the product of -0.1 and -2924204?
292420.4
What is -2.81673 times -0.04?
0.1126692
-0.04 * -611391
24455.64
What is the product of 64962 and -0.53?
-34429.86
499*3.07544
1534.64456
Calculate 0.6*-409170.
-245502
Calculate 21.701*2.1.
45.5721
-26283 times -268
7043844
53.42 * -8759.3
-467921.806
Work out -11 * -148.5194.
1633.7134
Product of -12657 and 80313.
-1016521641
Work out 542 * 426.505.
231165.71
What is the product of 40.739296 and -0.5?
-20.369648
-1297.47*147
-190728.09
1569956073*-3
-4709868219
-320.544 * -0.07
22.43808
What is the product of 25532703 and -1.1?
-28085973.3
Product of -711 and -0.2149.
152.7939
-17*-1596.32
27137.44
Calculate 3191*2903.
9263473
What is the product of 0.2 and 0.003567956?
0.0007135912
Product of 406491646 and -5.
-2032458230
Calculate 0.09095169*-10.
-0.9095169
Calculate 0.4482058*1.
0.4482058
-321*388524
-124716204
403070 times -84
-33857880
Calculate 0.3*-17591080.
-5277324
What is -3878013 times 2?
-7756026
What is 0.30737 times 105?
32.27385
1246.3 * -18.89
-23542.607
-3930.8 * -1.461
5742.8988
Calculate -4425198*12.
-53102376
Product of 1571727 and 0.06.
94303.62
Calculate 6012079.6*0.4.
2404831.84
Multiply 7 and -0.0589172.
-0.4124204
Calculate -2.5*405900.
-1014750
Multiply 5912703 and 2.8.
16555568.4
What is the product of -4463 and -2714?
12112582
Product of -129.1 and -13.36.
1724.776
Multiply -0.07218191 and -0.55.
0.0397000505
97.28 * -28293
-2752343.04
Multiply -0.24999 and -169.
42.24831
Work out -0.02953 * -2799.
82.65447
What is the product of -0.0061 and -641?
3.9101
Work out -4558487 * -3.
13675461
Calculate -4.4582307*-0.3.
1.33746921
What is the product of -0.5 and -9860432?
4930216
Work out -279004.41 * -2.
558008.82
Product of -3366.17 and 8.6.
-28949.062
-146*-60834
8881764
Work out 2 * -4451935.
-8903870
What is -1371035 times -0.4?
548414
Calculate -0.4566463*1.
-0.4566463
What is 10.52 times -8377?
-88126.04
2*-30761200
-61522400
Work out -622279.3 * 5.
-3111396.5
Product of 0.2 and -32027.94.
-6405.588
Calculate -2282*-0.5822.
1328.5804
-19.2685 times 0.05
-0.963425
Product of -5.2013 and 675.
-3510.8775
-0.35091*-1052
369.15732
Work out -218 * 24.25.
-5286.5
Product of 64213 and 0.413.
26519.969
Multiply 891703 and -36.
-32101308
Multiply 60.16 and 55420.
3334067.2
1 * 3768396
3768396
Product of 3.21428 and 5.
16.0714
Calculate -0.51*-24041.
12260.91
469.25*0.092
43.171
410 * -13.9661
-5726.101
Calculate 0.2*-5325875.
-1065175
1.19812 times 3728
4466.59136
Calculate 0.2*-6742906.
-1348581.2
What is 1081586 times 0.15?
162237.9
What is -8844556 times 1.2?
-10613467.2
What is the product of -25.25 and -20.27?
511.8175
Calculate -9.937238*-2.
19.874476
Work out -0.5175 * 4.133.
-2.1388275
Work out -119 * -1021636.
121574684
What is the product of -0.11 and -0.02184777?
0.0024032547
Calculate 66416*-81.3.
-5399620.8
-109660.566 times -0.4
43864.2264
Calculate -16*-253.5194.
4056.3104
-7 times -89933800
629536600
-4690 times 8936
-41909840
Work out -678998483 * 2.
-1357996966
-12864.223 times 0.2
-2572.8446
-2173 times -0.2259
490.8807
Product of 0.37 and 3366533.
1245617.21
Product of 20320078 and 0.3.
6096023.4
Multiply -19 and 6867.91.
-130490.29
Calculate 209.7*-79.
-16566.3
Multiply -0.2 and 168.099361.
-33.6198722
27.8*1.5757
43.80446
145495081*-0.5
-72747540.5
What is -0.2 times -29518793?
5903758.6
128642550*-0.6
-77185530
159.47413 times 50
7973.7065
What is 11165 times 50.03?
558584.95
What is 17216 times 2119.9?
36496198.4
What is -0.5 times -5614907?
2807453.5
-1 times 89985.71
-89985.71
Calculate 78263*17381.
1360289203
What is the product of 19 and 135947?
2582993
0.060217805 times -0.5
-0.0301089025
What is 556638460 times -4?
-2226553840
Calculate -193562*0.127.
-24582.374
Multiply 2.728 and 0.079.
0.215512
What is -2137621 times -4?
8550484
What is -5 times 4143949?
-20719745
8518.4 * -5926
-50480038.4
Multiply 2497.204 and 0.6.
1498.3224
What is -0.204 times 203267?
-41466.468
Work out 11.65137 * -31.
-361.19247
Product of 0.2 and -3.8249877.
-0.76499754
Calculate 3.35537139*-0.4.
-1.342148556
Multiply 748936491 and -0.2.
-149787298.2
What is the product of -0.2 and 64537192?
-12907438.4
Product of -0.02 and -2930540.
58610.8
Multiply -3981 and 264.
-1050984
-167 times 349312
-58335104
0.1*-1424636
-142463.6
-17817418*0.2
-3563483.6
Multiply -2610 and 8851.
-23101110
What is -12283 times -42.17?
517974.11
881746779 * -1
-881746779
3573*-93.89
-335468.97
Multiply -552083 and 0.9.
-496874.7
Calculate 0.07*-1440367.
-100825.69
Calculate 73*21304.91.
1555258.43
Work out -5 * -1995.54236.
9977.7118
Work out 51235915 * -5.
-256179575
Product of -1587 and 0.01758.
-27.89946
Multiply 2.08943 and 0.411.
0.85875573
-395.2 times -137.81
54462.512
Calculate -222861*1.
-222861
What is 57 times 26472.7?
1508943.9
-37*898334
-33238358
532734 times 15
7991010
Work out -379871 * 1.9.
-721754.9
Work out -8 * -0.00704109.
0.05632872
289.9068*-17.8
-5160.34104
-0.3 times 23743997
-7123199.1
What is 0.14 times -15054762?
-2107666.68
What is the product of -973186.9 and -0.3?
291956.07
Work out 45298 * 0.058.
2627.284
Product of 0.047481 and 217.
10.303377
What is the product of -521 and -174421?
90873341
0.1828 times 135
24.678
Work out 896498 * 0.
0
What is the product of 0.04 and 42678.15?
1707.126
What is -9 times 4969460?
-44725140
Multiply -0.2 and -151832044.
30366408.8
-17.9673*3157
-56722.7661
Calculate -0.2*4378917.
-875783.4
Work out 0.09 * 1118777.
100689.93
-12516526 times 1
-12516526
Multiply -8 and 345.1054.
-2760.8432
-2813.7366 times -13
36578.5758
Multiply -0.53554415 and 0.06.
-0.032132649
Multiply -27761 and 162.2.
-4502834.2
What is 17013.66 times 0.103?
1752.40698
-331.95 * 15405
-5113689.75
What is the product of -4.225 and -32.32?
136.552
What is 282566.3 times -12?
-3390795.6
Calculate -0.0656*178552.
-11713.0112
3 times 6528504
19585512
What is the product of -1565 and 547.626?
-857034.69
-514148 times 0.8
-411318.4
-256 times -192723
49337088
-0.054 times 1805
-97.47
What is the product of 699 and -0.96966?
-677.79234
32*-1556123
-49795936
Multiply 3 and -3.3673473.
-10.1020419
Multiply 0.4 and 0.4442182.
0.17768728
Work out 2 * 0.045018819.
0.090037638
Work out 0.1 * 1484.0859.
148.40859
Multiply 9 and 741617.
6674553
Calculate -0
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*z**3 + 8*z**2 + 6*z - 6. What is h*j(n) - w(n)?
2*n**3 - 2*n**2
Let b(f) = f**3 - 15*f**2 + 15*f - 13. Let z be b(14). Let i(p) = -p - 5. Let d(j) = 1. What is z*i(q) + 5*d(q)?
-q
Let j(o) = 1. Let t(x) = 78*x**2 - 10. Calculate -10*j(s) - t(s).
-78*s**2
Let c(f) = f**2 - 11*f - 6. Let k(t) = -2*t - 1. Determine 2*c(p) - 11*k(p).
2*p**2 - 1
Let v(n) = 3*n**2 + 7*n + 4. Let m(g) = 4*g**2 + 7*g + 5. Determine -2*m(q) + 3*v(q).
q**2 + 7*q + 2
Let q(j) = -j**2 + 3. Let u(p) = p**2 - 4. Calculate 4*q(v) + 3*u(v).
-v**2
Let p(h) = 78*h**2 - 5 + 4*h**3 - 78*h**2 - 5*h. Let c(u) = -2*u**3 + 2*u + 2. Let k be 1*(0 - 2*-1). Give k*p(v) + 5*c(v).
-2*v**3
Let p(d) = 9*d**3 + 5*d**2 - 2*d - 7. Let k be (-1)/((-100)/(-24) + -4). Let s(j) = 4*j**3 + 2*j**2 - j - 3. What is k*p(o) + 14*s(o)?
2*o**3 - 2*o**2 - 2*o
Let y(j) = 24*j**3 + 3*j**2 + 4*j - 5. Let m(z) = -47*z**3 - 5*z**2 - 7*z + 9. Determine 3*m(p) + 5*y(p).
-21*p**3 - p + 2
Let h(f) = 14*f - 7*f + 3*f**2 - 1 - 4*f**2 - 8*f. Let s(b) = 4*b**2 + 6*b + 8. What is -6*h(p) - s(p)?
2*p**2 - 2
Let g(y) be the third derivative of -y**4/24 - 19*y**2. Let n(w) = 7*w - 1. Calculate -5*g(f) - n(f).
-2*f + 1
Let x(g) = 2*g**2 - g - 4. Let z be (-9)/(-6) + 5/(-30). Let l(b) be the first derivative of 2 + b**2 + 7*b - z*b**3. What is -3*l(d) - 5*x(d)?
2*d**2 - d - 1
Let r(f) = -7*f - 5. Let o be (-1 + 2)/(1/4). Let w(c) = -3 + 6 + o*c + 0*c. Let g(k) = -7*k + 1. Let v be g(1). Give v*r(p) - 10*w(p).
2*p
Let b(r) = -r. Let w(v) = 5*v + 3. Suppose -2*y = -0*y + 4*d - 14, 0 = 5*y + 2*d - 11. Determine y*w(j) + 3*b(j).
2*j + 3
Let g(i) = i**3 + 2 - 4*i**2 + 0 + 2*i**3. Let w(b) = -8*b**3 + 11*b**2 - 5. Calculate 11*g(l) + 4*w(l).
l**3 + 2
Let p(k) = -7*k + 6*k - 17 + 14*k**3 - 16*k + 23*k**2. Suppose -3*u - 8 = 5*t, -1 = -u + t - 9. Let o(g) = 5*g**3 + 8*g**2 - 6*g - 6. Give u*p(m) + 17*o(m).
m**3 - 2*m**2
Let q = -5 - -7. Let b be (q*(-34)/4)/(-1). Let l(g) = 23*g. Let u(z) = -32*z - 8. Let y(o) = 11*o + 3. Let s(w) = -3*u(w) - 8*y(w). What is b*s(i) - 6*l(i)?
-2*i
Let n = -7 + 3. Let m(k) = -5*k + 6. Let o(z) = 1. Let h(a) = m(a) - 4*o(a). Let x(j) = 3*j - 1. What is n*h(w) - 7*x(w)?
-w - 1
Let k(g) = -15*g - 11. Let l(u) be the first derivative of 7*u**2/2 + 5*u - 7. Let w be -1 + 3 + 1*-15. Determine w*l(b) - 6*k(b).
-b + 1
Let z(b) be the third derivative of 5*b**4/12 + b**2. Let c(t) = 5*t. Let f(j) = 5*c(j) - 2*z(j). Let i(y) = 4*y. Give 5*f(w) - 6*i(w).
w
Let q(u) = 112*u**2 - 49. Let p(f) = -14*f**2 + 6. Determine -49*p(o) - 6*q(o).
14*o**2
Let s(f) = -7*f**2 - 11*f + 7. Let a(g) = -3*g**2 - 5*g + 3. Let m(b) = 9*a(b) - 4*s(b). Let h(d) = -2*d**3 + 3*d**2 - 2*d - 3. Give h(q) - 2*m(q).
-2*q**3 + q**2 - 1
Let g(l) = -13*l + 3. Let b(a) = -a + 1. Determine 3*b(w) - g(w).
10*w
Let x = -7 - -5. Let f(p) be the second derivative of 1/12*p**4 + 2*p - 1/6*p**3 - 1/2*p**2 + 0. Let v(d) = 5*d**2 - 5*d - 5. Determine x*v(h) + 9*f(h).
-h**2 + h + 1
Let n(u) = 7*u - 4*u - 5 + 0*u + 3*u. Let x(r) = 7*r - 6. Give -5*n(a) + 4*x(a).
-2*a + 1
Let z(g) = 6*g - 4. Let x(l) = 7*l - 4. Calculate 4*x(a) - 5*z(a).
-2*a + 4
Let w(o) = -o**3 + o**2 - 1. Let b(v) = -4*v**3 - 4*v**2 + 2*v + 4. Give b(h) + 4*w(h).
-8*h**3 + 2*h
Let t(m) = -4*m + 13. Let d(p) = -12*p + 38. Give -5*d(v) + 16*t(v).
-4*v + 18
Let d(n) = -3*n - 3. Let s(z) = -z**2 + 2*z + 2. Let m be s(3). Let r(w) = -1. Let q(b) = -3*b - 6. Let h(x) = m*q(x) + 2*r(x). What is 4*d(l) + 3*h(l)?
-3*l
Let t(d) = -2*d + 3. Let p(q) = 1. Let l(k) = 10*p(k) - 2*t(k). Let w(a) = 1. Give l(m) - 5*w(m).
4*m - 1
Let j(c) = -30*c - 9. Let i(w) = 15*w + 5. Give -9*i(k) - 5*j(k).
15*k
Let o = -15 - -24. Suppose 41 - o = 4*v. Let r(f) = 6*f + 2 - v - f**3 + 0. Let x(u) = u - 1. Determine r(p) - 6*x(p).
-p**3
Let n(b) = 97*b**2 - 3. Let i(a) = -484*a**2 + 14. What is -3*i(v) - 14*n(v)?
94*v**2
Let s(q) = -1. Let c(j) = -12*j + 12. Give c(w) + 10*s(w).
-12*w + 2
Let y(n) = -24*n. Let f(x) = -5*x. Give 16*f(s) - 3*y(s).
-8*s
Suppose -21 + 33 = 3*t. Let z(n) = -3*n**3 + 2*n**2. Let f(m) = 4*m**3 - 3*m**2. Determine t*f(j) + 6*z(j).
-2*j**3
Let f = -4 - -7. Let b = 0 + f. Let c(w) = -4*w**2 - 5*w - 1. Let p(t) = 6*t + 2*t**2 + 4*t - 6*t + t**2. Give b*p(x) + 2*c(x).
x**2 + 2*x - 2
Let g(y) = 8*y - 5. Let s(d) = -17*d + 11. Calculate -7*g(h) - 3*s(h).
-5*h + 2
Let v(r) = 6*r + 5*r - 14*r + 11*r - 5. Let d(j) = 12*j - 8. What is -5*d(u) + 8*v(u)?
4*u
Let m(o) be the first derivative of -o**2/2 + o - 45. Let x = 1 - 4. Let y(z) = -6*z + 7. Give x*y(i) + 21*m(i).
-3*i
Let a(i) = -9*i**2 - 10*i - 9. Let t(q) = 13*q**2 + 15*q + 13. Calculate 7*a(b) + 5*t(b).
2*b**2 + 5*b + 2
Let h(o) = o + 1. Let i be 4/2*(8 + -4). Let z = 6 - i. Let f(x) = -x. Give z*h(y) - f(y).
-y - 2
Suppose -19 - 5 = 4*y. Let x(d) be the second derivative of d**4/12 - d**3/6 + d. Let c(z) = -z**3 + 4*z**2 - 8*z. Calculate y*x(a) + c(a).
-a**3 - 2*a**2 - 2*a
Let h(c) = 19*c - 2. Let a(j) = 18*j - 2. Let r(s) = 4*a(s) - 3*h(s). Let v(m) = 7*m - 1. Give 6*r(z) - 13*v(z).
-z + 1
Let d(a) = -2*a**3 + 4. Let j(f) = f**2 - 9*f - 5. Let s be j(9). Let p(x) = -x**2 - 5*x + 4. Let o be p(s). Let k(u) = 4*u**3 - 7. Determine o*k(b) + 7*d(b).
2*b**3
Let a(p) = 11*p**2 - 2*p + 2. Let d(w) = -w + 1. What is -a(k) + 2*d(k)?
-11*k**2
Let w(j) = j - 1. Let y(f) = -2*f - 3. Determine -3*w(i) + y(i).
-5*i
Let f(q) = 2*q**3 - 3*q**2 + 3*q + 2. Let w be (-10)/(-2)*2/5. Let v(z) = 4*z - 1 + 0*z**w - 5*z + z**2 + 0*z**2. Determine f(k) + 3*v(k).
2*k**3 - 1
Let a(p) = 4*p**3 + 2*p**2 - 2*p. Let i(h) = -12*h**3 - 6*h**2 + 7*h. Give -7*a(b) - 2*i(b).
-4*b**3 - 2*b**2
Let k(x) = x**2 + 5*x + 2. Let y be k(-7). Let m = 11 - y. Let s(a) = 7*a**3 - 7*a**2. Let w(z) = -6*z**2 + 6*z**2 + 4*z**2 - 4*z**3. Determine m*w(p) - 3*s(p).
-p**3 + p**2
Let m = 20 - 26. Let a be ((-4)/(-5))/(m/15). Let f(o) = -4*o**3 + 4*o**2 + 2*o - 3. Let b(h) = 5*h**3 - 5*h**2 - 3*h + 4. What is a*b(q) - 3*f(q)?
2*q**3 - 2*q**2 + 1
Let t(i) be the second derivative of 5*i**3/2 - 13*i**2/2 + 4*i. Let y(c) = 7*c - 6. Calculate 6*t(h) - 13*y(h).
-h
Let i(g) = -2. Let l(p) = 4*p - 22. Give -22*i(n) + 2*l(n).
8*n
Let h(p) = -3*p**3 + 7*p**2 - 3. Let w(a) = 7*a**3 - 15*a**2 + 7. Determine -5*h(i) - 2*w(i).
i**3 - 5*i**2 + 1
Let s(k) = -5*k**2 + 2*k + 3*k - 3*k + k**3. Let m be s(4). Let u(b) be the first derivative of -3*b**2/2 + 4. Let o(l) = 2*l. Determine m*o(p) - 5*u(p).
-p
Let t be -1 - 2 - (-4 - 4). Let i(d) = -d**3 - 5*d**2 + 3*d + 5. Let a(c) = c**3 + 3*c**2 - 2*c - 3. Determine t*a(n) + 3*i(n).
2*n**3 - n
Let m(a) be the third derivative of a**4/24 - a**3/3 + 6*a**2. Let n(q) = -q + 1. What is -3*m(d) - 4*n(d)?
d + 2
Let s(c) = -c**3 - c**2 - c - 1. Let g(x) = 6*x**3 + 3*x**2 + 3*x + 3. Suppose -5*f + 26 = -4*f - 5*r, -4*f - 2*r - 6 = 0. Give f*g(n) + 3*s(n).
3*n**3
Let o(m) = 7*m**3 + 2*m**2 - 2*m - 1. Let j(n) = -36*n**3 - 11*n**2 + 11*n + 6. Calculate 2*j(w) + 11*o(w).
5*w**3 + 1
Suppose -5*o - 3*q + 46 = 0, 11 = 5*o - 4*q - 21. Let c(y) = -5*y**2 - 5*y + 11. Let i(l) = -2*l**2 - 2*l + 4. What is o*i(b) - 3*c(b)?
-b**2 - b - 1
Let a(r) = -r**2 + 3*r + 3. Let p be a(3). Let s(n) = n + 1. Let z(q) = -40*q - 3 + 82*q - 45*q. Calculate p*z(j) + 8*s(j).
-j - 1
Let z(y) = 105*y**2 - 5*y - 7. Let a(k) = k**2 + k + 1. Calculate 5*a(r) + z(r).
110*r**2 - 2
Let s(y) = 2*y - 3. Let k(l) = 4*l - 7. Let c(i) = 2*i**2 + 24*i - 6. Let f be c(-12). Calculate f*k(r) + 13*s(r).
2*r + 3
Let q(i) = -2*i**2 - i - 3. Let s(r) = -r**2 - 1. Suppose 4*d - h + 6 = -3, -3*d + 7 = 2*h. Give d*s(u) + q(u).
-u**2 - u - 2
Let o be 2/3*39/2. Let b(x) = -3 + o + 4*x - x. Let n = -16 + 11. Let i(k) = -2*k - 7. Calculate n*b(m) - 7*i(m).
-m - 1
Let l(o) = 8 + 8 - 3*o - 3*o**2 - 4*o**3 - 20 + 7. Let v(q) = 4*q**3 + 4*q**2 + 4*q - 4. What is 4*l(d) + 3*v(d)?
-4*d**3
Let x(s) = 5*s**3 - 41 + 101 - 52. Let r(t) be the second derivative of 3*t**5/20 + 5*t**2/2 + t. Give -8*r(z) + 5*x(z).
z**3
Let i(b) = b. Let d be (9/(-6))/((-3)/(-12)) - 0. Let q(p) = 2*p + p + 5*p. What is d*i(m) + q(m)?
2*m
Let s be 1 - (0 - (5 - 4 - -1)). Let z(b) = -2*b + 3. Let h(m) = -5*m + 7. Determine s*h(q) - 7*z(q).
-q
Let r = 5 + -1. Let v(y) = -9*y**2 + 1 - r*y**3 + 9*y**2 - 4. Let n(p) = -3*p**3 - 2. Determine -3*n(g) + 2*v(g)
|
{
"pile_set_name": "DM Mathematics"
}
|
g = 21 + -18. Suppose -4*w + 902 - 332 = g*o, -2*o - 580 = -4*w. What is the highest common factor of 16 and w?
16
Suppose -2*h + 4 = -4, 3*h + 120 = 4*c. Let g = c + -9. What is the highest common divisor of g and 168?
24
Let s(t) = -t + 25. Let k be s(-33). What is the highest common divisor of k and 638?
58
Suppose -4*a + 42 - 6 = 0. Suppose 99 = -0*t + t + k, 3*t = -4*k + 297. Calculate the greatest common divisor of a and t.
9
Suppose 13 = f - 5*j, -2*j + 91 = 3*f - 4*j. What is the highest common factor of f and 3?
3
Suppose -2*s = -0*s - 14. Let t be 1124/14 + (-2)/s. Calculate the greatest common factor of 16 and t.
16
Let x = -9 + 13. Suppose x*b + 20 = 4*n, b = 3*b - 8. Suppose 4*z = 9 + 27. What is the greatest common divisor of z and n?
9
Suppose 0*j - j = 18. Let x = 50 - j. Suppose -x = -3*b - 5*d, -2*b - 5*d + 120 = 3*b. Calculate the greatest common factor of b and 104.
26
Suppose -126 = -c - 2*c. What is the highest common factor of c and 6?
6
Let i be 6/9*(0 + 6). Suppose i*m - 364 = -0*m. Let f be 11 + (2 - 0/1). What is the greatest common factor of f and m?
13
Suppose -5*l - 3*o = 12 - 123, 27 = l - o. Suppose -2*r + l + 76 = 0. Let a(k) = 4*k + 5. Let f be a(5). What is the greatest common divisor of r and f?
25
Suppose -153 = -5*r - s, 4*r - 4*s - 42 - 66 = 0. What is the greatest common divisor of r and 6?
6
Let w = 381 + -271. Suppose -3*g + h + 18 = 2*g, -3*h - 15 = -2*g. Suppose -20 = -g*b + 10. Calculate the highest common factor of w and b.
10
Let r = 4 + -2. Let k be 72/28 + -3 - 34/(-14). Calculate the highest common divisor of r and k.
2
Let v be (-1 - -19)*(-1 - -3). Let c be (-10)/3*v/(-30). Suppose o + 56 = 5*t - 1, -12 = -2*t + c*o. What is the greatest common factor of t and 84?
12
Let u(y) = -9*y**2 + 3. Let r be u(3). Let d = -23 - r. Suppose -2*v = -v - 11. Calculate the highest common divisor of d and v.
11
Let x be (0 + (-14)/(-6))/(2/12). What is the highest common divisor of x and 2?
2
Let n(p) = p**2 + p**2 - 2 + 3*p**2 + 2*p**2 + 8*p. Let j be n(-5). What is the greatest common divisor of 19 and j?
19
Let t(f) = f**3 + 19*f**2 + 2. Let g be t(-19). Calculate the greatest common factor of g and 50.
2
Let w = -28 + 0. Let b = w - -46. Calculate the highest common divisor of b and 54.
18
Let u be (1 - 3)*1/2. Let d = u + -4. Let s be (d - -3) + (-6)/(-2). Calculate the greatest common factor of s and 3.
1
Let k be 2/(-7) - (-772)/7. Calculate the highest common divisor of k and 10.
10
Suppose 21 = -3*f + 6*f. Let z = f - 5. Calculate the greatest common factor of 18 and z.
2
Let h be (3 - 0)*(-13)/(-39). Let s be 63/6 - 1/(-2). Calculate the highest common divisor of h and s.
1
Let z be 60/(-8)*126/(-35). What is the greatest common divisor of 81 and z?
27
Let x(m) = 2*m - 12. Suppose 0 = 2*y - 3*y + 8. Let g be x(y). Suppose -16 = g*v, 4*v + 30 + 31 = 3*b. What is the greatest common factor of 15 and b?
15
Let z(g) = -g**3 - 5*g**2 + 5*g + 3. Let t be z(-6). Let j(s) = 2*s - 12. Let c be j(t). Calculate the highest common factor of c and 9.
3
Let a be 15*(-4 + 44/6). Calculate the greatest common factor of a and 20.
10
Suppose 4*c = -c - 5*y - 60, 0 = -5*c + 4*y - 60. Let q be 4/(c/9) + 14. What is the greatest common divisor of 22 and q?
11
Let w(z) = -z**2 - 3*z + 3. Let j be w(-4). Let o be j*6/(-2 - -1). Calculate the highest common factor of 24 and o.
6
Suppose p - 4*j + 3*j - 108 = 0, 3*j - 12 = 0. What is the greatest common factor of p and 32?
16
Suppose -15*o + 16*o - 90 = 0. What is the highest common divisor of o and 18?
18
Suppose -f = 3*q, 0 = -5*f - 4*q + 81 - 26. Let g(r) = r + 12. Let u be g(-5). Let x = 12 - u. What is the greatest common factor of x and f?
5
Let o(l) = -l + 1. Let d be o(0). Suppose 0 = 4*h - 5*b - 5, 2*b - 14 = -h - 3. What is the highest common divisor of h and d?
1
Let x be 5166/28 + (-1)/(-2). What is the highest common factor of 74 and x?
37
Let a(q) = -2*q + 4. Let f be a(-4). What is the greatest common factor of f and 84?
12
Let s(k) = -11*k - 1. Let l be s(-2). Let c = l + -8. Suppose -156 = -4*w + 52. Calculate the greatest common factor of w and c.
13
Suppose -7*o - 576 = -9*o. Calculate the greatest common divisor of 36 and o.
36
Suppose 0 = -8*g + 5*g + 24. Calculate the greatest common factor of g and 12.
4
Suppose 3*i + i = 16. Let z(v) = 4*v + 2. Let n be z(i). Calculate the greatest common factor of 18 and n.
18
Suppose -4*b = 5*d - 273, -201 = -4*d + 4*b + 3. Suppose -7 = -4*m + d. Let l = -1 + m. Calculate the highest common factor of 70 and l.
14
Let l = 20 + -9. Let s = l + -5. Let v be ((-4)/s)/(1/(-27)). Calculate the greatest common factor of 27 and v.
9
Let l(s) = s**2 + 6*s - 9. Let i(f) = f**2 + 5*f - 10. Let v(w) = -6*i(w) + 5*l(w). Let a be v(0). Calculate the highest common factor of a and 30.
15
Suppose 3*t + f - 2 = 12, 2*f = 2*t - 20. Let c(w) = -w**2 - 3*w + 3. Let u be c(-3). What is the highest common factor of u and t?
3
Let f = 2 + 185. What is the greatest common factor of 17 and f?
17
Let o(r) = -r**2 - 4*r + 4. Let v be o(6). Let p = v + 100. Suppose 6*g - 79 = -13. Calculate the greatest common divisor of p and g.
11
Suppose -l + 0*l - 5*c - 9 = 0, 2*l - 3*c - 8 = 0. Suppose v - 2*v + 2 = 0. Calculate the greatest common divisor of l and v.
1
Let k(m) = -m**3 - m**2 + 6*m - 7. Let b = -5 - 0. Let l be k(b). What is the greatest common factor of l and 9?
9
Let u(h) = -h**3 - 5*h**2 + h + 3. Let j be u(-5). Let i be 6/12 + (-1)/j. Calculate the highest common factor of i and 9.
1
Suppose -o + 13 = -2*i - 3, 0 = 2*i. What is the highest common factor of 32 and o?
16
Let y(c) = -c**3 + 8*c**2 + 3*c + 9. Let w = 8 + -1. Let m be y(w). Let q be (1 - m)/((-3)/4). Calculate the greatest common divisor of 13 and q.
13
Let t be 3/(3/(-5)) + 1. Let q(j) = 10*j - 1. Let m be q(2). Let d = t + m. Calculate the highest common divisor of 5 and d.
5
Let f = 8 - 6. Suppose -3 = 3*z - f*z + 2*v, 3*z - 3*v - 36 = 0. What is the highest common divisor of 7 and z?
7
Let u(m) = -m**3 - 6*m**2 - 6*m + 3. Let h be u(-5). Suppose h*d = 6*d + 32. Calculate the greatest common factor of d and 144.
16
Suppose -3*q - 2*q = -v + 3, 0 = 3*v + q - 25. Let s(m) = m + 3*m**2 - 2*m - v + 3. Let r be s(4). What is the highest common divisor of 13 and r?
13
Suppose 2*x = 4*g + 18, 2*x = 5*g - 1 + 20. Suppose 6*y = 34 + 344. Calculate the greatest common factor of x and y.
7
Let p be 10/1 - (-4)/(-2). Suppose -p - 40 = 4*w. Let n = -6 - w. What is the highest common factor of n and 24?
6
Suppose 2 = 2*v - 4. Suppose -76 = -v*q - 10. What is the greatest common divisor of q and 2?
2
Suppose -192 = 29*g - 32*g. Calculate the highest common factor of 160 and g.
32
Let f be 1 - (-2)/(-4)*-278. Suppose 5*h - j - f = 4*j, 3*h = -2*j + 64. Calculate the highest common factor of 192 and h.
24
Let f(t) = 93*t**2 - 3*t + 3. Let x be f(2). Suppose -x = -3*c - 3*l + 30, -5*l = 15. Let y be c/12 + 1/(-3). What is the greatest common factor of y and 77?
11
Suppose 0 = s + 4*o - 32, 0 = -2*s + o + 29 - 10. Suppose 3*b - 6*b = -s. Let h be 18 - (-8)/(4 - 0). What is the highest common divisor of h and b?
4
Let k be (-2)/(-13) - 315/(-65). Suppose -k*g - 3*l + 135 = -8*l, 0 = -2*g - 2*l + 34. What is the greatest common factor of g and 11?
11
Suppose -3*n + 90 = -n. Suppose -2*i + 240 = 2*i - 5*o, i - 60 = -3*o. Suppose 5*l = l + i. What is the greatest common factor of l and n?
15
Suppose 2*a + 0*k = 3*k + 463, -5*a = 2*k - 1110. Calculate the greatest common divisor of a and 28.
28
Suppose -z - 23 = -4*b - 0*z, 2*b - 2*z - 4 = 0. Suppose 0*u - 7 = -u. Calculate the highest common divisor of u and b.
7
Suppose c - 22 = 4*w, -c + 12 = -0*c - 2*w. Suppose c*q = -3*j + j + 52, 3*j = -4*q + 105. Calculate the highest common factor of 18 and q.
9
Let w(t) = 7*t**2 + 27*t - 29. Let l(p) = 11*p**2 + 41*p - 43. Let c(i) = -5*l(i) + 8*w(i). Let g be c(-13). What is the greatest common divisor of g and 27?
9
Let a = -183 + 279. Calculate the greatest common factor of 32 and a.
32
Suppose t - p = -4*p - 8, -p - 26 = -3*t. Calculate the highest common divisor of 49 and t.
7
Let o(g) = -g**2 + 7*g**3 - 6 - 5*g**3 - 3*g - 6*g**2 + g**2. Let w be o(6). Calculate the greatest common facto
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 1. Let t(k) be the third derivative of a(k). Factor t(b).
-b**3
Let f(l) be the first derivative of -l**7/280 + l**6/60 + l**5/40 - l**4/4 - 3*l**3 - 6. Let p(n) be the third derivative of f(n). Find j such that p(j) = 0.
-1, 1, 2
Let k(m) be the third derivative of -m**11/1496880 + m**10/170100 - m**9/68040 + m**5/60 + 2*m**2. Let j(d) be the third derivative of k(d). Factor j(i).
-2*i**3*(i - 2)**2/9
Let y(k) be the third derivative of -k**8/1680 - k**7/525 + k**6/600 + k**5/150 + 7*k**2. Determine j, given that y(j) = 0.
-2, -1, 0, 1
Let a(r) be the first derivative of 0*r - 7 + 3/4*r**2 - 5/4*r**3. Factor a(v).
-3*v*(5*v - 2)/4
Let b(x) = -x**2 - 2*x + 3. Let w(j) = 1. Let s(h) = b(h) - 3*w(h). Factor s(t).
-t*(t + 2)
Let t(g) = -g**3 + 5*g**2 - g + 3. Let m be t(5). Let p = 0 - m. Factor -a**2 + a**3 - a - 2*a**p + 4*a**2 - a**4.
-a*(a - 1)**2*(a + 1)
Let g be (-5 + 3 - -3)*2. Suppose g*f + 16 = 6*f. Let -3/2*o**2 - 1/4*o**f + 5/4*o**3 + 2 - o = 0. What is o?
-1, 2
Let q = 6 + 0. Let a = -5 + 7. Factor -q*c**3 + 4*c**3 + c**4 + 0*c**3 + c**a.
c**2*(c - 1)**2
Let r(i) be the third derivative of i**6/30 + i**5/15 - 13*i**2. Factor r(q).
4*q**2*(q + 1)
Let z = -13 - -17. Suppose 2*y + 4 = z*y. Factor 2/7*b**y + 0*b + 0.
2*b**2/7
Let r = 9/11 + -23/55. Factor -26/5*x**2 - r*x**4 - 24/5*x - 8/5 - 12/5*x**3.
-2*(x + 1)**2*(x + 2)**2/5
Factor -2*m**2 + 2 + 1/2*m - 1/2*m**3.
-(m - 1)*(m + 1)*(m + 4)/2
Let i be -4 - (44/(-10) - 0). Determine o so that 0 + 0*o**2 + 0*o + 8/5*o**4 - 6/5*o**5 - i*o**3 = 0.
0, 1/3, 1
Factor -1/3 + 4/9*z**2 - 1/9*z**4 - 2/9*z + 2/9*z**3.
-(z - 3)*(z - 1)*(z + 1)**2/9
Determine p so that 0 - 1/3*p - 13/6*p**2 - 4*p**3 - 3/2*p**4 = 0.
-2, -1/3, 0
Let r(v) be the second derivative of v**9/90720 + v**8/40320 - v**4/6 + 3*v. Let d(g) be the third derivative of r(g). Factor d(b).
b**3*(b + 1)/6
Factor -8/19*h**2 - 2/19 - 10/19*h.
-2*(h + 1)*(4*h + 1)/19
Let d(w) be the second derivative of -2*w**6/45 + 2*w**5/5 - 13*w**4/9 + 8*w**3/3 - 8*w**2/3 + 9*w. Factor d(n).
-4*(n - 2)**2*(n - 1)**2/3
Let s(k) be the first derivative of -k**6/1980 + k**5/220 - k**3 - 3. Let y(z) be the third derivative of s(z). Suppose y(t) = 0. What is t?
0, 3
Let k(i) be the third derivative of 3*i**2 + 0 + 1/240*i**5 + 0*i**3 + 0*i - 1/32*i**4. Factor k(l).
l*(l - 3)/4
Let o(d) be the second derivative of -d**6/180 - d**5/90 + d**4/36 + d**3/9 + d**2 + 2*d. Let h(g) be the first derivative of o(g). Find x such that h(x) = 0.
-1, 1
Let r be 7/(126/(-4)) + (-78)/(-108). Let r*m**2 + 3/2*m + 1 = 0. What is m?
-2, -1
Let -4*h**2 - 16*h**2 - 4 + 26*h - 3*h**2 + h**2 = 0. What is h?
2/11, 1
Let g(q) = 3*q**4 + 7*q**3 + 4*q**2 - 4. Let v(d) = -5*d**4 - 13*d**3 - 7*d**2 + 7. Let r(s) = 7*g(s) + 4*v(s). Factor r(l).
l**3*(l - 3)
Let c(b) = b**3 - 9*b**2 - 9*b + 1. Let m(a) = 5*a**3 - 55*a**2 - 55*a + 5. Let g(p) = -25*c(p) + 4*m(p). Factor g(l).
-5*(l - 1)**2*(l + 1)
Let m(t) be the third derivative of -t**7/2940 + t**6/630 - t**5/420 - t**3/2 - 3*t**2. Let l(w) be the first derivative of m(w). Factor l(h).
-2*h*(h - 1)**2/7
Factor 1/4*h**2 - 1/8*h**3 + 7/8*h + 1/2.
-(h - 4)*(h + 1)**2/8
What is i in 8/3*i - 4*i**2 + 0 + 3/2*i**3 - 1/6*i**4 = 0?
0, 1, 4
Let d(v) = -v**3 - 9*v**2 - 7*v + 8. Let q(c) = c**2 + c - 8. Let z be q(0). Let f be d(z). Factor f + 2/5*p + 2/5*p**2.
2*p*(p + 1)/5
Let z(y) = -y**3 - 3*y**2 - 2*y - 3. Let f(c) = -6*c**3 - 16*c**2 - 10*c - 16. Let s(n) = 3*f(n) - 16*z(n). Factor s(x).
-2*x*(x - 1)*(x + 1)
Let x(y) be the first derivative of -2/3*y**5 + 0*y + 0*y**2 + 1/9*y**6 - 8/9*y**3 - 3 + 4/3*y**4. Suppose x(l) = 0. Calculate l.
0, 1, 2
Let n be 2 - (-2 + (-4)/(-2)). Let q be (n/4)/((-3)/(-12)). Factor 14/3*j**4 + 0 + 0*j - 10/3*j**3 - 4/3*j**q.
2*j**2*(j - 1)*(7*j + 2)/3
Let h(r) = 18*r**2 + 11*r + 5. Let y(b) be the first derivative of 9*b**3 + 17*b**2/2 + 8*b - 3. Let n(u) = 8*h(u) - 5*y(u). Let n(d) = 0. Calculate d.
-1/3, 0
Find i, given that 2/11*i**5 + 24/11*i + 0*i**4 - 14/11*i**3 + 16/11 - 4/11*i**2 = 0.
-2, -1, 2
Let z = 8240003/13280780 - 105/20276. Let c = -2/131 + z. Suppose c*m**2 - 3/5*m + 1/5 - 1/5*m**3 = 0. Calculate m.
1
Let x(o) be the first derivative of -4*o**3/3 - 6*o**2 - 8*o - 24. Determine m so that x(m) = 0.
-2, -1
Let s(j) be the third derivative of j**9/15120 - j**8/3360 + j**7/2520 + j**4/24 + 2*j**2. Let b(m) be the second derivative of s(m). Find i such that b(i) = 0.
0, 1
Let a(c) = -c - 2. Let w be a(-4). Let 0*j**w - 3*j - 3*j**2 - 2*j**2 + 2*j**2 = 0. What is j?
-1, 0
Let q be 1/((-5)/(-7)) - (-27)/(-45). What is g in 6/5 - 2/5*g**2 + q*g = 0?
-1, 3
Factor -v**3 + 15*v**2 - 31*v**4 + 9*v + 28*v**4 + 4*v**3.
-3*v*(v - 3)*(v + 1)**2
Let h = 10 - 6. Determine r so that 2 + 8*r - 2*r - 3*r**h + 4 - 3 - 6*r**3 = 0.
-1, 1
Suppose 67*m - 10 = 62*m. Factor 0 - 1/3*p - 1/6*p**3 + 1/2*p**m.
-p*(p - 2)*(p - 1)/6
Let b(o) be the first derivative of 2*o**5/5 - 17*o**4/2 + 70*o**3 - 275*o**2 + 500*o - 3. Factor b(x).
2*(x - 5)**3*(x - 2)
Let m = 150 - 148. Let t(d) be the first derivative of 2/3*d**3 + 1 + d**m + 0*d. Factor t(i).
2*i*(i + 1)
Solve 8*h**3 - 22*h**3 + 68*h**2 + 7 - 20*h**3 - 56*h + 9 + 6*h**4 = 0 for h.
2/3, 1, 2
Let h(w) be the first derivative of 5*w**4/24 - 5*w**3/18 - 25*w**2/12 - 5*w/2 + 3. Suppose h(n) = 0. What is n?
-1, 3
Let z(i) = 2*i**2 - 8*i + 11. Let v be z(3). Let x(m) be the third derivative of 0*m + 0*m**3 + 1/40*m**6 + m**2 + 1/10*m**v + 0*m**4 + 0. Factor x(k).
3*k**2*(k + 2)
Let t be 3*1*(-74)/(-444). Factor w**2 + t - 9/4*w.
(w - 2)*(4*w - 1)/4
Factor 100/3 + 40/3*z + 4/3*z**2.
4*(z + 5)**2/3
Let a be ((-8)/(-26))/(6 + 0 + -4). Suppose -a*i**4 + 0*i + 0 - 4/13*i**2 + 6/13*i**3 = 0. Calculate i.
0, 1, 2
Suppose n - 2*d = -35, 0 = 2*n - 5*n + 3*d - 111. Let u = -36 - n. Solve 0 - 3*t**u + 2*t**2 - 1/2*t**5 - 1/2*t + 2*t**4 = 0 for t.
0, 1
Let y be ((-2)/(-384))/(35/28). Let t(s) be the third derivative of 0*s**3 + 0*s**5 + 0*s**4 + y*s**6 + 3*s**2 + 0*s + 1/420*s**7 + 0. Factor t(r).
r**3*(r + 1)/2
Let k(y) be the first derivative of y**6/21 - 4*y**5/7 + 17*y**4/7 - 104*y**3/21 + 37*y**2/7 - 20*y/7 + 12. Factor k(n).
2*(n - 5)*(n - 2)*(n - 1)**3/7
Let c(r) be the second derivative of -7*r**6/45 + 71*r**5/120 - 4*r**4/9 + r**3/9 - 2*r + 2. Determine j, given that c(j) = 0.
0, 1/4, 2/7, 2
Let c(o) be the third derivative of -o**6/660 + 3*o**2. Factor c(w).
-2*w**3/11
Let z(w) be the third derivative of w**6/120 + w**5/60 - w**4/24 - w**3/6 - 7*w**2. Factor z(k).
(k - 1)*(k + 1)**2
Let x = 127/476 - 2/119. Factor x*o**2 - 1/4 + 0*o.
(o - 1)*(o + 1)/4
Let w(n) be the third derivative of -n**4/24 + n**3/2 + 3*n**2. Let q be w(0). Factor 0 - 2/9*l**2 + 2/9*l**q + 0*l.
2*l**2*(l - 1)/9
Let j(v) be the second derivative of -1/24*v**3 - 1/240*v**5 - 2*v + 1/48*v**4 + v**2 + 0. Let m(h) be the first derivative of j(h). Factor m(o).
-(o - 1)**2/4
Let y(x) be the third derivative of -x**7/105 + x**5/15 - x**3/3 - 8*x**2. Factor y(j).
-2*(j - 1)**2*(j + 1)**2
Suppose 24 = 4*g + 4*u, g + 0*g + 19 = 4*u. Let v(h) = h**3 - 3*h**2 + 12*h - 11. Let z(f) = f**2 - 1. Let p(y) = g*v(y) - 3*z(y). Factor p(x).
(x - 2)**3
Let o = -47 - -142/3. Let x = 46/3 + -44/3. Suppose o*l**3 - x*l**4 + 1/3*l**5 + 0*l**2 + 0 + 0*l = 0. Calculate l.
0, 1
Factor -2*g**2 + 112*g - 124*g - 2*g**2.
-4*g*(g + 3)
Let d(g) be the second derivative of 1/14*g**7 + 0*g**6 - 3/20*g**5 + 0*g**4 + g + 0 + 0*g**2 + 0*g**3. Find w, given that d(w) = 0.
-1, 0, 1
Let h**3 + 14*h**3 - 3*h**3 + 16*h**4 + 2*h**2 = 0. What is h?
-1/2, -1/4, 0
Let z(y) be the third derivative of 1/80*y**5 + 0*y**4 - 5*y**2 + 0 + 0*y - 1/8*y**3. Solve z(f) = 0 for f.
-1, 1
Suppose 0 + 1/11*o**4 - 6/11*o**2 + 5/11*o**3 + 0*o = 0. Calculate o.
-6, 0, 1
Let l(v) be the first derivative of -v**7/2100 - v**6/450 - v**5/300 - 2*v**3/3 - 2. Let g(t) be the third derivative of l(t). Factor g(x).
-2*x*(x + 1)**2/5
Let s(m) be the first derivative of m**5 + 5*m**4/2 + 5*m**3/3 - 22. Factor s(q).
5*q**2*(q + 1)**2
Let n(h) be the third derivative of -h**8/3360 - h**4/8 - 3*h**2. Let x(c) be the second derivative of n(c). Suppose x(q) = 0. Calculate q.
0
Let u(n) = n**3 + 5*n**2 - 5*n - 5. Let g be u(-6). Let x = g - -12. Let 23/2*q**3 + 51/4*q**2 + x + 15/4*q
|
{
"pile_set_name": "DM Mathematics"
}
|
Expand (-706*v + 1185*v - v**3 - v**3)*(4 - 2 + 0).
-4*v**3 + 958*v
Expand (-1 + 2 - 2)*(-9*m + 12*m - 9*m)*(-3*m**2 + 4*m**2 - 3*m**2)*(0*m + m + 2 - 3*m).
24*m**4 - 24*m**3
Expand ((-2 - 2 + 3)*(0*x**2 + 0*x**2 - 2*x**2) - 2 + 2 + 4*x**2)*(-3 - x**2 + 3)*(-2 - 3 + 3)*(-2*x - 3*x + 4*x).
-12*x**5
Expand (-43 - 70 + 21)*(4*x**3 + 0*x**3 + 0*x**3 - 4*x**2).
-368*x**3 + 368*x**2
Expand (-4*k**3 - 4*k**3 + 2*k**3)*(-3 + 4 + 2)*(3 - 1 + 1).
-54*k**3
Expand -z - 3*z - 12*z + 0*z - 4*z + 5*z + (-3*z + 3*z + z)*(2 - 4 + 4).
-13*z
Expand (4*c**3 - 9*c**3 - 8*c**3)*(3 + 2 - 6)*(-2 - 11 + 3 - 5).
-195*c**3
Expand (-4 - 2 + 3)*(1 - 1 + 2)*(-2*l**2 + 1 - 1 + (-1 + 1 + 2*l)*(1 + 2*l - 1) - l**2 + 7 - 7 + 0*l**2 + 0*l**2 + 2*l**2).
-18*l**2
Expand 2*k**5 - 2*k**5 - 3*k**5 + (1 - 1 + k)*(-2*k**4 + 0*k**3 + 0*k**3) - 2*k**4 - k**5 + 2*k**4.
-6*k**5
Expand (2*i**3 + i**2 - i**2)*(2*i - 2*i + 2*i) - 995*i**4 - 682*i**4 - 576*i**4 - 834*i**4.
-3083*i**4
Expand (-4 + 0 + 3)*(-74 - 2*b + 74) + (-3*b + 3*b + 4*b)*(1 - 1 - 1).
-2*b
Expand (6*p**2 + 6*p**2 + 10*p**2)*(2 + 1 + 1)*(-12 + 9 - 2 - 2*p).
-176*p**3 - 440*p**2
Expand (3 + 1 + 4)*(-2*n - 5 + 5) + (4*n - n - n)*(-25 + 8 + 15).
-20*n
Expand (-3 + 3 - g - 1)*(84 + 27 - 8)*(-1 + 0 + 2).
-103*g - 103
Expand (-9*w + 8 - 8)*(327*w + 339*w - 2 - 651*w).
-135*w**2 + 18*w
Expand (-3*u**3 - u**3 - 4*u**3)*(-5*u**2 - 3*u**2 + 3*u**2 + (3*u**2 - 4*u**2 - u**2)*(-1 - 1 + 0)).
8*u**5
Expand 2*t + 6 - 7 + t + (0*t + 0*t + t)*(-3 + 3 - 1) + 11*t + 101 - 101.
13*t - 1
Expand ((2 - 2 + o)*(0*o + 5*o - 6*o) - 7 + 2*o**2 + 7 + o**2 + 1 - 1)*(2 + 1 - 5 + (2 + 0 + 1)*(5 - 1 - 3)).
2*o**2
Expand l - 3*l + 3*l + (36*l + 13 - 13)*(5 + 0 - 4)*(4 + 2 - 1).
181*l
Expand (0*x - 3*x + 2*x)*(6 - 4 - 1) + 0*x + 0*x - 2*x + 0*x + x + x + 4 + 18*x - 2 + 22*x.
39*x + 2
Expand (-n + 2*n - 2*n)*(-11*n + 91 - 91)*(n + 0*n + n).
22*n**3
Expand 6*i**5 + 35 - 35 + (-i + i + i**3)*(2*i**2 + i - i) - i**5 - 2*i**5 + i**5 + (-i**2 + 0 + 0)*(i - 2*i**3 - i).
8*i**5
Expand -3*t + 0*t + 6*t + (-8 - 9 + 5)*(t + 3*t - t).
-33*t
Expand (68*w**2 - 5883*w + 5883*w)*(1 - 1 + 1)*(0 + 1 - 2 + (-2 + 0 + 3)*(1 + 1 + 0)).
68*w**2
Expand (2*z + 0*z + z + (3*z + 2*z - 2*z)*(-2 + 4 - 1) + 1 - 7*z + 1 + 6*z)*(0*z**4 + 6*z**4 - 3*z**4) + (-5*z**2 - 2*z**2 + 5*z**2)*(-1 + 1 + 2*z**3).
11*z**5 + 6*z**4
Expand (5*y**2 - 35*y**2 - 23*y**2 - 2*y**2)*(-11*y**2 - 8*y**3 + 11*y**2 + 4*y**2 - 4*y**2 - 2*y**3 + (-2 - 3 + 4)*(0 + 0 + 2*y**3)).
660*y**5
Expand 0 - 2*b**2 + 0 + 2 - 4*b - b - 16*b**2 + 20*b**2 - 6*b**2 + 3*b**2 + 4*b**2 + (0 + 0 - 2*b)*(-b - b + 0*b).
7*b**2 - 5*b + 2
Expand (-6*n + n - 3*n)*(0 + n + 0) + 12*n**2 + 13*n**2 - 18*n**2.
-n**2
Expand (4*t + 4 - 4)*(632 - 284 + 220).
2272*t
Expand (-2*u + 6*u - u)*(1164 - 55*u - 1164).
-165*u**2
Expand (24 - 40 + 22)*(w**2 + 2*w**2 - 8*w**2).
-30*w**2
Expand (-2*k + 9*k + 6*k)*(5 - 5 + 4*k**4) + (-3 + 3 + 7*k**2)*(-2*k**3 - 3*k**3 + 7*k**3).
66*k**5
Expand (17*y**4 - 5*y**4 + 15*y**4)*(9*y + 2 + 0*y - 2*y).
189*y**5 + 54*y**4
Expand ((4 + p - 4)*(3 - 2 - 3) + 6*p - 3*p - 2*p + 0*p + 2*p - 3*p - 2*p - 1 + 1 + 1 + 7*p - 1)*(-14*p + p**2 + 0*p**2 + 10*p) + 2*p**3 + 2*p - 2*p.
5*p**3 - 12*p**2
Expand ((15*z - 30*z + 41*z)*(-z**2 - 2*z**2 + z**2) - z + z + 2*z**3 + 3*z**3 - 3*z**3 - 2*z**3)*(-1 + 3 + 0).
-104*z**3
Expand (-j**2 + 3*j**2 + j**2)*(6*j - j + j) - 4*j**3 + 5*j**3 + 0*j**3 + (2*j - 2*j + j)*(-4*j**2 - 3*j**2 + 4*j**2).
16*j**3
Expand (47*h - 19*h + 30*h)*(-h + h - h**2 - 2*h + 2*h - 2*h**2 + (3*h**2 - 3*h**2 + 2*h**2)*(-2 + 0 + 1)).
-290*h**3
Expand (-2*p - p + 2*p)*(8 + 24 - 7)*(-5*p + 4*p + 3*p)*(2*p - 3*p + 0*p)*(-102 + 102 + 12*p).
600*p**4
Expand ((-5*v + 2*v + 0*v)*(-3 + 0 + 17) - v + 6*v - 2*v + (-3 + 4 - 3)*(-12 + 7*v + 12))*(-v**2 - 2*v**3 + v**2).
106*v**4
Expand -5*z**2 - z**4 + 5*z**2 + (-7*z + 6 - 6)*(-z + 3 - 3)*(-5*z**2 + 19*z**2 + 2*z**2) + 0*z**4 - 2*z**4 + 0*z**4.
109*z**4
Expand (9 - 9 - 6)*((1 - 1 + o)*(2*o - 4*o + 5*o) - 5*o**2 + 4*o**2 - o**2) + 0 + 2*o**2 + 0.
-4*o**2
Expand (p - p - 4*p**2)*((-4*p + p**2 + 4*p)*(0*p - 2*p + 7*p) + 2*p**3 + p**3 - p**3).
-28*p**5
Expand (0 + 0 - y)*(y - y + 2*y) - 2*y**2 - 2*y**2 + 2*y**2 + 11*y - 11*y + 5*y**2 + (-y + 4*y + y)*(4*y - y - y).
9*y**2
Expand -2*o**5 + 2*o**5 + o**5 + (4*o + 15*o + 4*o)*(-o**4 + o**4 - o**4).
-22*o**5
Expand 2 + y - 2 - 4*y + 0*y + 2*y + (-5 + 4 + 3)*(6*y - 2*y - 2*y) + 3 - 3 + y - 1 + 1 - y + 180 - 93 + 15*y - 105.
18*y - 18
Expand (-171*i + 104*i + 86*i - 7)*(-i - i + 0*i).
-38*i**2 + 14*i
Expand (4*x - 4*x - 9*x)*(7*x**3 + 25*x**2 - 25*x**2).
-63*x**4
Expand -2*p + 2*p - 5*p**5 + (-3 + 3 + 2*p)*(p**4 + 60*p**3 - 60*p**3).
-3*p**5
Expand (0*w - 4*w + 5*w)*(-1 + 0 - 2) + 2*w - 20*w - w + w.
-21*w
Expand 1 + 0 + 47*l - 46*l + l - l + 7*l - 3 + 2*l + 3 + 2 + (-1 - 2 + 4)*(0*l + 5*l - 3*l).
12*l + 3
Expand (-37*a**2 + 618 - 618)*(-2*a + 3*a - 2*a)*(a - 4*a + 2*a).
-37*a**4
Expand (52 - 30 + 13 + 2*g)*(-g + 1 - 1)*(2 + 5*g - 2).
-10*g**3 - 175*g**2
Expand (-4*k + 3*k - k)*(-519 - 31*k**2 + 29*k**2 - 139).
4*k**3 + 1316*k
Expand -q + 3*q**3 + q + (1 + 0 + 0)*((0*q**2 + 0*q**2 - 2*q**3)*(-4 + 0 + 3) - 5*q**3 + 8*q - 8*q + 2*q**3 + 0 + 0) + q**3 + q**3 + q**3.
5*q**3
Expand (-1 - 2 + 1)*(0*c**2 - 3*c**2 + 2*c**2) + (-4*c**2 - 2*c**2 + 5*c**2)*(-15 - 5 + 1) + 4*c**2 - 3*c**2 + c**2.
23*c**2
Expand (4 - 4 + b)*(2 - 3*b**4 - 2) + 9*b**5 - 31*b**5 - 64*b**5.
-89*b**5
Expand (0*f**4 + 2*f**4 + 4*f**4)*(1 + 1 + 10)*(-3 + 1 + 4).
144*f**4
Expand (-4*p + 5*p - 3*p)*(p + 3 - 3)*(22 - 43 + 18) - 5*p + 5*p + 4*p**2.
10*p**2
Expand -4*u**4 + 4*u**4 + 3*u**4 + (2 - 4*u - 2)*(15*u**3 - 12*u**3 + 22*u**3).
-97*u**4
Expand (-n - 4*n + 4*n - 75)*(18*n + 4*n - 8*n).
-14*n**2 - 1050*n
Expand ((-2 + 1 + 3)*(-2*c + 1 - 1) - 8*c - 2*c - c)*(-3*c**3 + 6*c**3 + 4*c**3).
-105*c**4
Expand (0*t**2 - t**2 + 1 - 3)*(0*t + 22*t - 5*t).
-17*t**3 - 34*t
Expand (2*u - 2*u - u)*(-3*u + 3*u - 2*u) + 284*u**2 - 562*u**2 - 40 + 280*u**2.
4*u**2 - 40
Expand (-4 + 10 + 4)*(29*l + 81*l + 11*l) + (-2*l + 3*l + l)*(3 - 3 + 2).
1214*l
Expand -3*y + 2*y + 0*y + (-4 - 5 + 1)*(-4*y + 3*y - 4 + 1).
7*y + 24
Expand (-6*c**3 + 5 - 5)*(-c**2 - c**2 + 0*c**2) + 44*c**5 + 39*c**5 - 60*c**5 + (2 - 2 - c**2)*(0*c**3 + c**3 + 0*c**3) - c**5 + 2*c**5 - 2*c**5.
33*c**5
Expand (0*x**3 - 3*x**3 + x**3)*(-179 + 53*x + 179) - 3 - x**4 + 3.
-107*x**4
Expand (-1 + p**2 + 1)*(3 + 2 - 3 - 1 - 4 + 6 + (3 + 3 - 4)*(-1 + 5 - 2) - 3 + 3 - 3 + 4 + 0 - 3).
5*p**2
Expand (4*h**2 + 4*h**2 + 2*h**2 + h**2 - 4 + 4 + (h + 4*h - 6*h)*(-2 + 2 + 2*h))*(h - 7*h + 7*h + 7 + (-1 + 2 + 1)*(-h + 0*h + 0*h)).
-9*h**3 + 63*h**2
Expand -7*c + 19*c + 6*c + (9*c + 19*c + 9*c + 23*c)*(6 - 3 - 2).
78*c
Expand (-6*d - 22 + 28 + 6*d**2 - 5)*(3*d**2 - 6*d**2 + d**2).
-12*d**4 + 12*d**3 - 2*d**2
Expand (-2*s**3 + 4*s**2 - 4*s**2)*(-3 + 3 + 2*s) + (-4*s**3 - s**3 + 0*s**3)*(0*s - 4*s + s) + 2*s**4 + 0*s**4 - s**4.
12*s**4
Expand (6*v - 4*v + 0*v)*(-725 + 377 + 93).
-510*v
Expand (-4 + 4 + 4)*(14*q**5 - 16*q - 5*q**3 - 4*q**3 + 18*q).
56*q**5 - 36*q**3 + 8*q
Expand (38 + 45*a**4 - 38)*(4 - 3 + 2).
135*a**4
Expand (-144*l**2 - 36*l**2 - 117*l**2)*(-2*l + l + 2*l)*(l + l + 0*l).
-594*l**4
Expand (-2 + 2 + h)*(-5 + 1 + 2)*(4*h + 2 - 2)*(-1 - 4 + 2).
24*h**2
Expand (-2 + 2 + o)*(-191 + 45 - 250).
-396*o
Expand (-3*r + r**3 + 3*r)*(1 - 1 - r) + 125*r**4 + 3*r - 3*r - 805*r**4.
-681*r**4
Expand (-3*o + 0*o + 5*o + (-4 + 1 + 8)*(2*o + 0*o - o))*(4 + 3*o - o - 2)*(-3 - 3 + 7 + (-4 + 2 + 4)*(-1 + 1 - 1) + 4 + 1 - 4 + 3 + 5 + 9).
238*o**2 + 238*o
Expand (132*v - 43 + 43)*(2*v**3 - 3*v**3 - v**3).
-264*v**4
Expand (242 - 242 + 11*v)*(-v**2 - 7 + 7) + (-2*v + 2*v - v**2)*(-1 + 1 + 2*v) + (-4*v + 4*v + v**3)*(-1 + 0 - 1).
-15*v**3
Expand (-9*l + 8*l + 9*l)*(3*l - 5*l - 3*l) + 4*l**2 + 16*l**2 - 7*l**2.
-27*l**2
Expand (4*y + 4*y - 4*y + 3*y)*(-15*y**2 - 11*y**2 + 4*y**2).
-154*y**3
Expand (m + m - 3*m)*((0*m - m + 3*m)*(m - 7*m + 0*m) + 4 + 3*m**2 - 4).
9*m**3
Expand (4*f**2 + 2*f**5 - 4*f**2)*(-501 - 438 + 1125 + (2 - 2 - 2)*(-4 + 5 + 1)).
364*f**5
Expand (2 - 2 + b)*(-2 + 37 + 18).
53*b
Expand (3 + 28 + 6 - 8)*(2*z + 10*z + z).
377*z
Expand (286*u + 5819 - 5819)*(0*u + 0*u - 2*u).
-572*u**2
Expand (5 - 3 - 3)*(4*r + r - 6*r)*(-26 - 64
|
{
"pile_set_name": "DM Mathematics"
}
|
Let j(u) be the third derivative of 0*u + g*u**5 - 3*u**2 + 5/3*u**3 + 0*u**4 + 0. Find the first derivative of j(l) wrt l.
18*l
Suppose 8*d - 18 = 5*d. Let w(c) = 12*c + 11. Let b(a) = 12*a + 11. Let p(t) = d*b(t) - 5*w(t). What is the first derivative of p(v) wrt v?
12
Let z(f) = f**2 - 3*f - 2. Suppose 10*s - 5*s = 20. Let i be z(s). What is the second derivative of -g**i - 2*g**2 - 1 + 1 - 7*g wrt g?
-6
Let p(x) be the first derivative of 12 + 16/3*x**3 + 0*x**4 + 0*x**2 - 9/5*x**5 + 0*x. Find the third derivative of p(d) wrt d.
-216*d
Let t be -28 + 21 + 9*1. Let d(c) = c + 2. Let h(j) = -2. Let z be 0 + 1 + 1 + 1. Let x(f) = t*d(f) + z*h(f). Differentiate x(o) wrt o.
2
What is the first derivative of 60*o + 46*o**4 - 57*o - 1 - 3*o + 119*o**4 wrt o?
660*o**3
What is the third derivative of 29*s**2 + 10*s**4 - 189*s**5 + 64*s**4 + 187*s**5 wrt s?
-120*s**2 + 1776*s
Let c be ((-1)/(-4))/(6/72). Suppose -2*a - 11 = -2*s - 3*s, 0 = c*s - 9. What is the third derivative of -3*r**a + 4*r**4 - 12 + 12 wrt r?
96*r
Let k(z) = -217*z**2 + 7*z + 308. Let j(v) = -435*v**2 + 15*v + 622. Let u(f) = -6*j(f) + 13*k(f). Differentiate u(o) with respect to o.
-422*o + 1
Let d(g) = 571*g**3 + 7*g**2 + 675*g. Let x(t) = -285*t**3 - 3*t**2 - 338*t. Let k(b) = -3*d(b) - 7*x(b). What is the second derivative of k(y) wrt y?
1692*y
Let f(d) be the first derivative of 436*d**3/3 - 147*d**2 - 329. What is the second derivative of f(o) wrt o?
872
Let f = -113 + 135. Let a = 3 + 3. Find the second derivative of -p - f*p**3 + 22*p**3 - a*p**5 wrt p.
-120*p**3
Let r(b) = -2*b**2 - 2*b - 1. Let y(k) = 734*k**2 + 112*k - 1. Let t(a) = -r(a) - y(a). Find the second derivative of t(l) wrt l.
-1464
Suppose -x = -4*x - 5*m - 8, 3*x - m = -2. Let t(v) = -v. Let i(d) = 0 - 2 - 12*d + 5. Let c(u) = x*i(u) + 2*t(u). What is the derivative of c(a) wrt a?
10
Let z be 0*-2*(-3)/(-6). Suppose z = -3*l + 5*m + 7 + 10, -2*l = 3*m - 5. Find the first derivative of 20*a**3 - 20*a**3 - 3 - 10*a**l wrt a.
-40*a**3
Suppose -12 = -2*c - 0*c. Suppose 5*r - c*r = -4. Differentiate 3 + 7*v - 5*v - r*v + 4*v wrt v.
2
Let f(m) = 5*m**4 + 5*m**3 + 6*m + 77. Let l(k) = 6*k**4 + 4*k**3 + 5*k + 76. Let a(x) = -5*f(x) + 6*l(x). Find the first derivative of a(s) wrt s.
44*s**3 - 3*s**2
Find the first derivative of 508*w**3 + 23 - 420*w**3 - w**2 - 83 wrt w.
264*w**2 - 2*w
Differentiate -42*y**3 - 1987 + 5*y**3 + 2116 with respect to y.
-111*y**2
What is the second derivative of 22*r**3 + 25*r**2 - 23*r**2 - 21*r**3 + 157*r wrt r?
6*r + 4
Find the third derivative of -610*d**2 + 16*d + 5*d**3 + 9*d**3 + 608*d**2 wrt d.
84
Let t(a) = a**2 + 5*a - 8. Let i(q) = 3*q - 17. Let p be i(7). Let x be t(p). What is the second derivative of x*j - 2*j + 10*j**5 - 15*j wrt j?
200*j**3
Let d(f) be the third derivative of -59*f**5/60 - 23*f**4/24 + f**3/3 + f**2 + 10. Find the second derivative of d(s) wrt s.
-118
Find the second derivative of 8*m + 10*m + 2*m + 0*m - 9*m**3 - 8*m + 4*m**2 + 30 wrt m.
-54*m + 8
Let l(f) = -176*f**4 + 6*f**3 - 48*f - 6. Let z(t) = 175*t**4 - 7*t**3 + 46*t + 7. Let b(i) = -7*l(i) - 6*z(i). What is the second derivative of b(v) wrt v?
2184*v**2
Let u(b) = 373*b**5 + 3*b**4 + 140*b**2 + 6*b + 6. Let j(l) = l**5 - l**4 - l**2 - 2*l - 2. Let c(m) = -3*j(m) - u(m). Find the third derivative of c(t) wrt t.
-22560*t**2
Let i(q) = 201*q**3 + 219*q**2 - 7*q + 7. Let c(t) = -201*t**3 - 223*t**2 + 6*t - 6. Let w(y) = 7*c(y) + 6*i(y). What is the third derivative of w(b) wrt b?
-1206
Let k = -10 + 20. Differentiate k + 1 + 6 - 10*b - 7 with respect to b.
-10
Suppose 2 = -8*c + 26. Find the third derivative of -2*b + 0*b - 30*b**c - 38*b**2 + 16*b**3 + 4*b wrt b.
-84
Let v(q) = 16*q**2 - 2*q - 3. Let h be v(-1). What is the second derivative of 32*x**3 - 2*x + h*x + 4*x - 30*x**3 wrt x?
12*x
What is the third derivative of 2*s - 99 - 42*s**3 + 2*s**2 - 96 + 195 wrt s?
-252
What is the second derivative of -34*d**2 - 34*d**2 + 2718*d - 2588*d wrt d?
-136
Let l(y) = -y**2 + 8*y - 10. Let s be l(5). What is the second derivative of 30*n**s + 6*n + 2*n - 18*n**5 wrt n?
240*n**3
Let t(s) be the first derivative of -25*s**3/3 - 359*s**2/2 + 299. What is the second derivative of t(b) wrt b?
-50
Let y(s) = 83*s**6 - 23*s**2 - 4. Let b(p) = 84*p**6 - 22*p**2 - 3. Let k(f) = 4*b(f) - 3*y(f). Find the third derivative of k(m) wrt m.
10440*m**3
Let u = -352 - -3616. Find the second derivative of u*m**2 + 12*m - 23*m**4 - 3264*m**2 wrt m.
-276*m**2
Let c(q) = -597*q**4 + 22*q**3 - 842*q - 33. Let a(d) = 199*d**4 - 8*d**3 + 281*d + 12. Let m(x) = -11*a(x) - 4*c(x). Find the second derivative of m(s) wrt s.
2388*s**2
Let g(w) = -w - 6. Let d be g(-9). Let r be (0 + 1)/(3/6). Find the first derivative of d - q + 4 - r - 3*q wrt q.
-4
Suppose -2*t = 3*p + 1, p - 3 = 2*t + 2. Let l be (2 - -1)*t/(-3). Differentiate i**l + 3*i + 3 - 2*i - i with respect to i.
2*i
Let m = -1 + 3. Suppose o = 3*o - 6. What is the second derivative of 2*z**3 - 5*z + m*z + 2*z + z**o wrt z?
18*z
Find the second derivative of 2*n**2 - 100 + 30*n**4 - 62*n**4 - 3*n + 20*n**4 wrt n.
-144*n**2 + 4
Let g(j) be the second derivative of 0*j**2 + 0*j**3 + 0*j**5 + 5/6*j**4 + 8*j + 0*j**6 + 29/56*j**8 + 0*j**7 + 0. What is the third derivative of g(b) wrt b?
3480*b**3
Let o = 51 - 46. Differentiate -h**2 + o + h**2 + 5*h**2 - 4*h**2 wrt h.
2*h
Let f(i) be the third derivative of 0*i**3 + 0 + 0*i**4 + 2/15*i**5 + 0*i + 0*i**7 + 1/42*i**8 + 14*i**2 + 0*i**6. What is the third derivative of f(a) wrt a?
480*a**2
Suppose 4*w + 50 = 5*c, 55 = 4*c + c - 5*w. Let v = 7 + -6. Find the third derivative of 6*g**c + v - 5*g**2 - 1 wrt g.
720*g**3
Let g(c) = -c + 23. Let r be g(11). Let k(s) = -r*s + 5 - 7 + 1. Let n(h) = 24*h + 2. Let q(t) = 13*k(t) + 6*n(t). What is the first derivative of q(i) wrt i?
-12
Let i(q) = q - 2. Let g be i(2). Let d be ((-3)/6 + 1)/(5/30). Find the second derivative of g*f + 2*f + 5*f**3 - 4*f**d wrt f.
6*f
Find the third derivative of 1 + h - 317*h**3 - 309*h**3 + 632*h**3 - h + 242*h**2 - 35*h**4 wrt h.
-840*h + 36
Let p(g) be the second derivative of 3*g**6/10 + g**4/2 + 5*g**3/3 + 3*g**2 + 147*g - 1. Find the second derivative of p(k) wrt k.
108*k**2 + 12
Suppose 23 + 13 = 4*h. What is the derivative of -k**4 - h*k**4 + 4*k**4 - 8 wrt k?
-24*k**3
What is the third derivative of -13*f - f**2 + 2*f**4 + 13*f - 4*f**3 - 14*f**3 + 6*f**2 - 1 wrt f?
48*f - 108
Let r(l) = -l**2 - l - 1. Let d = -9 - -9. Let k = -1 + d. Let f(c) = -3*c**2 - 4*c - 2. Let n(g) = k*f(g) + 4*r(g). Differentiate n(b) with respect to b.
-2*b
Suppose -r = 1 - 10. Find the second derivative of 14*k + 2*k**2 - 4*k**2 + r*k**4 + 2*k**2 wrt k.
108*k**2
Let p = 683/2 + -340. Let x(g) be the first derivative of 9 - g**3 + 0*g - p*g**2. What is the second derivative of x(s) wrt s?
-6
Let w(t) be the second derivative of 16*t**5/5 + t**4/4 - 487*t**3/6 + 543*t. What is the second derivative of w(q) wrt q?
384*q + 6
Let w = 180 - 179. Let d(y) be the first derivative of y - 3/2*y**2 - w. Differentiate d(s) with respect to s.
-3
Let v(w) be the second derivative of -359*w**5/20 + 11*w**4/12 - 11*w**3/3 - 12*w + 4. What is the third derivative of v(x) wrt x?
-2154
Let s(r) be the second derivative of 0*r**4 + 7/3*r**3 + 0*r**5 + 0 + 3*r - 5/6*r**6 + 0*r**2. Find the second derivative of s(w) wrt w.
-300*w**2
Let s(q) be the second derivative of 0 + 0*q**4 - 6*q + 0*q**2 - 1/2*q**5 + 7/3*q**3. What is the second derivative of s(w) wrt w?
-60*w
Suppose k = -3*q + 14, 0 = 4*q + 5*k - 8 - 7. What is the third derivative of -2*h**2 - 11*h**q - 6*h - h**2 + 6*h wrt h?
-660*h**2
Let s(q) be the second derivative of 151*q**8/14 - 157*q**4/4 - 31*q - 8. Find the third derivative of s(w) wrt w.
72480*w**3
Let s(y) = -4*y + 35. Let n be s(8). Find the second derivative of -43*o**3 + 11*o**4 + 90*o**n - 47*o**3 + 11*o wrt o.
132*o**2
Suppose g + 0*g - 15 = -3*s, -s = 3*g - 5. Suppose -3*o = 15, 0*f - 37 = -4*f + s*o. Find the second derivative of -109 + 109 + 6*m - 5*m**f wrt m.
-30*m
Let c(m) = -m**3 + 3*m**2 - m. Let z be c(2). Suppose -3*y + 6 = z*a - 60, -2*a = -4*y - 66. Differentiate -15*x**2 + a*x**2 + 1 - 17*x**2 with respect to x.
2*x
Let t(f) be the first derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose c = -5*y + 5*c + 61, -4*y + 53 = c. What is the remainder when y is divided by q?
1
What is the remainder when 193 is divided by (13/2)/(2/4)?
11
Let u(s) be the second derivative of s**5/20 + s**4/4 - s**3/6 - 2*s**2 + 28*s. Calculate the remainder when 2 is divided by u(-2).
0
Let v(z) = z**3 - 22*z**2 + 2*z + 66. Calculate the remainder when 544 is divided by v(22).
104
Suppose 5*j + 2*w = 5*w - 9, 12 = 4*w. Suppose -q + 3*q - 48 = j. Calculate the remainder when (-2)/(-9) - (-421)/9 is divided by q.
23
Let m = 31 - 70. Calculate the remainder when ((-24)/(-3))/(6*(-1)/m) is divided by 14.
10
Suppose 3*w + 3*g + g - 445 = 0, 5*w - 4*g = 795. Calculate the remainder when w is divided by 79.
76
Suppose -88 = 5*t - 9*t. Let w = t + -14. What is the remainder when w is divided by 5?
3
What is the remainder when 2782 is divided by (-6)/30 - 2784/(-120)?
22
Let o(h) = 6*h**2 + 5*h - 2. Let t(f) = 2*f - 1. Let n(b) = 7*b + 24. Let s(r) = -n(r) + 2*t(r). Calculate the remainder when o(-4) is divided by s(-15).
17
Suppose -3*h = 5*l - 30, 8*l - 4*l - 24 = h. What is the remainder when 93 is divided by l?
3
Calculate the remainder when 84 is divided by 78/(-15)*20/(-8).
6
Let h = -129 - -213. Suppose -2*c + j - 168 = -6*c, -2*c = 5*j - h. What is the remainder when c is divided by 15?
12
Suppose 0 = -5*w + 2*m - 6*m + 50, 0 = -m. What is the remainder when 18 is divided by w?
8
Suppose -4*c = -3*c. Let x(a) = -2*a - 71. Let n be x(c). Let r = -5 - n. Calculate the remainder when r is divided by 35.
31
Let v(b) = b**2 - 14*b + 22. Calculate the remainder when v(25) is divided by 12.
9
Suppose 134*u - 156*u = -3498. Calculate the remainder when u is divided by 27.
24
Suppose -4*a + 5 = -t - 15, 18 = 5*a - 3*t. Suppose 0 = -4*q + a*q - 8. What is the remainder when 11 is divided by q?
3
Suppose -4*k - 429 = -7*k - 4*h, -4*k = 5*h - 573. Calculate the remainder when k is divided by 30.
27
Suppose 17*h + 15 = 22*h. What is the remainder when ((-10)/(-4))/((9/30)/h) is divided by 10?
5
Let h(l) = -82*l + 1234. Calculate the remainder when 6/27 + 158/18 is divided by h(15).
1
What is the remainder when 154 is divided by 4/(-58) + 78177/2001?
37
Suppose -4*s + 4*w = -32, -s + 2*w + 1 = -10. Let h(n) = 6*n - 16. What is the remainder when 40 is divided by h(s)?
12
Let d = -328 + 490. Let u = d + -61. What is the remainder when u is divided by 26?
23
Let r = 127 - 77. Suppose -4*k = 4*w - 48, 5*w - k - 28 = r. Let g = -10 - -16. What is the remainder when w is divided by g?
3
Suppose -6*u + 377 + 277 = 0. What is the remainder when u is divided by 23?
17
Let m = 63 - 30. Let n = 224 - 233. Calculate the remainder when (m - 1) + 36/n is divided by 15.
13
Let w(b) = 5. Let g(f) = -f - 11. Let y(z) = -3*g(z) - 5*w(z). Let q be y(-3). Calculate the remainder when 1/(((-5)/25)/q) is divided by 3.
2
Suppose 2*l - 6*l = -416. Calculate the remainder when l is divided by 29.
17
Let v = -1 - -58. Suppose -5*w = 4*d - v, -d - 13 + 1 = -4*w. What is the remainder when (2 + -4 - -33)/1 is divided by d?
7
Let i = -1392 - -1490. Calculate the remainder when i is divided by 5.
3
Let s = -29 + 50. Let y be 2*(-9 - 8/(-4)). Let r = y + 54. Calculate the remainder when r is divided by s.
19
Suppose -g = 11*g - 240. What is the remainder when 197 is divided by g?
17
Let c = 1038 - 746. What is the remainder when c is divided by 93?
13
Suppose -j - 2*j + 52 = 4*p, -2*j = -5*p - 27. What is the remainder when 364 is divided by j?
12
Let s = -434 + 438. Suppose 0 = 2*z - z - 4, -2*t - 4*z = -24. Suppose v + 100 = 5*n, -t*v - 24 = -n - 3*v. What is the remainder when n is divided by s?
3
Suppose 284*h - 299*h - 15 = 0. Let o(t) = 8*t**2 - 2*t + 2*t. Calculate the remainder when 31 is divided by o(h).
7
Let j = 20 - 16. Suppose j*w + 112 = 8*w. Let r = w + -14. Calculate the remainder when r is divided by 9.
5
Let a(n) be the third derivative of n**5/5 - n**3/6 + 8*n**2. Let c be a(1). Suppose -o + 53 = -c. Calculate the remainder when o is divided by 17.
13
Let h(i) = i**3 + 14*i**2 + 3*i + 68. Calculate the remainder when 222 is divided by h(-14).
14
Suppose -5*y + 13 = -3*q, q + 2 = -4*y + 9. Suppose -3*d - 919 = 24*d - 1054. What is the remainder when d is divided by y?
1
Suppose 4*g + 155 - 247 = 0. What is the remainder when 252 is divided by g?
22
Let o be (-16)/(-2)*(-1 - 0)*1. Calculate the remainder when (-516)/o + 3/(-6) is divided by 5.
4
Let u(y) = -2*y**3 + 40*y**2 - 35*y + 5. What is the remainder when u(19) is divided by 3?
2
Let t(u) be the third derivative of -u**4/3 - 13*u**3/6 - 339*u**2. Suppose -12 = n + 3*n. What is the remainder when t(n) is divided by 6?
5
Let p = 103 - 95. Suppose 13 = -2*r + 3*r. Calculate the remainder when r is divided by p.
5
Suppose 2*w = 63 - 25. Suppose 15*s - 21*s = -444. What is the remainder when s is divided by w?
17
Let c = 14 - 19. Let n = c - -12. What is the remainder when 20 is divided by n?
6
Let c = 29 + -19. Calculate the remainder when c/(-2) + 2 + (27 - 2) is divided by 3.
1
Let g be -1*(2 + (-447)/(-3)). Let a = g - -284. Calculate the remainder when a is divided by 27.
25
Let q = 36 - 22. What is the remainder when 6/2 + (56 - 6) is divided by q?
11
Suppose 5*f - 18*f = -429. What is the remainder when 159 is divided by f?
27
Suppose 0 = -59*z + 82*z - 230. Calculate the remainder when 297 is divided by z.
7
Let f = -2042 - -2062. What is the remainder when 137 is divided by f?
17
Suppose -1863 = -5*m + 35*f - 31*f, -4*m + 1515 = 5*f. Calculate the remainder when m is divided by 20.
15
What is the remainder when 28 is divided by 24 + (-6 - -5)*1?
5
What is the remainder when 39 is divided by (280/21)/(2*(-3)/(-9))?
19
Let h(q) = 21*q**2 - 9*q + 10. Calculate the remainder when (-3)/(-2)*170/3 is divided by h(1).
19
Let t = 444 + -241. Calculate the remainder when t is divided by 67.
2
Suppose 5*h - 768 = -h. Calculate the remainder when h is divided by 10.
8
Suppose -2*d - 3*d = -2*u - 165, 4*d = 5*u + 149. Let x(i) = -3*i - d + 31. Calculate the remainder when 12 is divided by x(-1).
0
Suppose 2*q - 644 = 3*u, 2*q = 24*u - 23*u + 648. Calculate the remainder when q is divided by 111.
103
Let o(u) be the first derivative of -u**2/2 + 20*u - 4. What is the remainder when o(-19) is divided by 11?
6
Suppose -8*n = 95 + 161. Let p = -22 - n. What is the remainder when 12 is divided by p?
2
Let a(n) = -n**2 + 16*n - 9. Let m be a(15). Let s = m + 6. Calculate the remainder when 20 is divided by s.
8
Suppose -y - 3*k - k - 12 = 0, -3*y - 2*k = 16. Let u be ((-18)/4)/(2/y). Let p = 85 + u. What is the remainder when p is divided by 24?
22
Suppose -2*x - 5*y = -138, 39 = 2*x + 3*y - 91. What is the remainder when x is divided by 24?
11
Suppose -8 = 4*c + 5*p, 4*c - 3*p = -c + 27. Suppose -80 = c*i - 338. What is the remainder when i is divided by 29?
28
What is the remainder when 4/(-64) - 69132/(-192) is divided by 125?
110
Let d = 79 + -75. Calculate the remainder when (7 - -5)/d - -24 is divided by 14.
13
Suppose 0 = 12*a + 4919 + 385. What is the remainder when 5/(-25) - 2*a/20 is divided by 20?
4
Let j(q) = -q**3 - 10*q**2 - 9*q + 1. Let l be j(-9). Let s = l + 1. Suppose 3*x - 6 = -s*o + 2*x, x = o - 3. What is the remainder when 7 is divided by o?
1
Let b(r) = -r**2 + 11*r - 15. Let s be b(8). Suppose -s*o - 60 = -14*o. What is the remainder when 23 is divided by o?
11
Let u(o) = o**2 + 10*o + 6. Calculate the remainder when 42 is divided by u(-12).
12
Suppose -4*y = -4 - 4. Suppose -5*m + 70 = -45. What is the remainder when (-2)/(y/1) - -90 is divided by m?
20
Calculate the remainder when 87 is divided by 1 + 6/(-10) + 10234/215.
39
Suppose -2*x + 3*x - 33 = -2*p, 4*p = -5*x + 57. What is the remainder when 35 is divided by p?
17
Let p = 735 + -694. Let v = 211 - 48. What is the remainder when v is divided by p?
40
Let t = 1 + 1. Let r(i) = 2*i + 4. Let x(d) = -d - 3. Let g(s) = t*r(s) + 3*x(s). Calculate the remainder when 4 is divided by g(3).
0
Let a be (15/(360/(-64)))/(2/(-6)). Suppose 48 = -2*z + a*z. What is the remainder when z is divided by 3?
2
Let p(v) = 2*v + 14. Let d be p(0). Let s = -9 + d. Suppose 4*m - s = -2*k + 3, -5*m = -2*k + 44. Calculate the remainder when 34 is divided by k.
10
L
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 9 a factor of b?
True
Let u(z) = 24*z**2 - 2*z - 44. Is 18 a factor of u(-5)?
False
Let p(w) = 14*w + 458. Does 17 divide p(-6)?
True
Is 6 a factor of 0 - -133 - ((-28)/(-4) + -1)?
False
Let w = 310 + -112. Let n = w + -84. Suppose 82 = 3*d + u + 4*u, 0 = -3*d + 3*u + n. Does 16 divide d?
False
Is 8 a factor of (-4)/(-6) + 253/33*44?
False
Suppose -p + 5 = 1. Suppose -h + p = -8. Suppose -24 = 9*x - h*x. Does 4 divide x?
True
Let h be 1324/5 - 28/35. Suppose -5*k - 24 + h = 0. Is 8 a factor of k?
True
Let l(m) = -56*m - 63. Let q be ((-1)/(-2))/(2/(-24)). Is l(q) a multiple of 13?
True
Suppose 43 = -6*j - 41. Let a = 45 + j. Is a a multiple of 7?
False
Let z(w) = 4*w. Let s be z(-1). Let m = s - -10. Let k(o) = o**2 - 2*o + 7. Is k(m) a multiple of 13?
False
Suppose 5*d - b = 5804, 3*b = 2*d + 6*b - 2308. Does 58 divide d?
True
Suppose -4*s - 1920 = -4*q, -9*q = -10*q - s + 472. Is q a multiple of 34?
True
Suppose -2*f + 81 = -5*f. Is 5 + f/5 + 797/5 a multiple of 53?
True
Suppose 4*u + 0*p = 4*p + 48, -5*p = 2*u + 11. Suppose -u*c - c = -480. Is c a multiple of 13?
False
Let t(l) = -l**2 + 2*l - 77. Let r be t(0). Let y = -40 - r. Is 3 a factor of y?
False
Let z = 49 + -46. Suppose z*b + 90 = 4*w, -3*b + 23 - 92 = -3*w. Is 21 a factor of w?
True
Suppose 0 = -10*w + 7001 + 2199. Is w a multiple of 10?
True
Let p(g) = -6*g + 6. Let m(r) = -11*r + 12. Let b(n) = 3*m(n) - 5*p(n). Let f be (5/3)/((-12)/36). Is 21 a factor of b(f)?
True
Let g(p) = -p**2 - 7*p - 8. Let k be g(-4). Suppose k*v + 12 = 0, 2*j - 2*v = -3*v + 31. Let s = j - -23. Is 6 a factor of s?
False
Suppose 2*n - 8 = 0, -4*q = 13*n - 8*n - 308. Is 18 a factor of q?
True
Suppose 0 = 3*v + 10 + 62. Is (80/v)/(2/(-36)) a multiple of 20?
True
Let b(x) = 2*x**3 - 13*x**2 + 14*x - 15. Does 15 divide b(10)?
True
Let a(d) = 2*d + d + 5*d - 9 - 5*d. Let o be a(10). Suppose 105 = 5*p - 5*m + m, o = p + 3*m. Does 6 divide p?
False
Let v = -14 - -17. Suppose -5*z + 195 = 4*q, 0 = -z - v*z + 2*q + 130. Is 7 a factor of z?
True
Let t(a) = -8*a + 1. Let k be t(-7). Suppose -3*y + k = 3*m, 3*y = -2*m - 0*m + 35. Does 16 divide m?
False
Let a = 64 - 76. Does 17 divide (-2)/(-8) + (-1017)/a?
True
Suppose 8*t = 7*t + 3. Let w(n) = t - 4*n - 3*n + 2*n - 8*n. Does 38 divide w(-4)?
False
Let s(h) = 33*h**3 - 6*h**2 - 6*h + 7. Let d(z) = 99*z**3 - 17*z**2 - 17*z + 20. Let x(p) = 6*d(p) - 17*s(p). Suppose -m = -6 + 5. Is x(m) a multiple of 15?
False
Let o(q) = 77*q + 14. Let w be o(1). Let k(y) = -5*y**2 - 4*y + 1. Let l be k(-4). Let i = w + l. Is 7 a factor of i?
True
Let y(n) = 7*n**3 + 2*n**2 - 1. Let c be y(1). Suppose 0 = 5*s - 7 - c. Suppose -s*r - r + 254 = -2*t, 0 = r + 3*t - 67. Does 16 divide r?
True
Let b(o) = -o - 19. Let f be b(-4). Is 9 a factor of 9/f + 408/5?
True
Let r = -19 + 19. Let y(v) = -v**2 + 3*v + 48. Does 13 divide y(r)?
False
Suppose 3*b - 75 = b - q, -2*b + 3*q = -79. Suppose 5*a = -17 - b. Let u = a - -35. Is 6 a factor of u?
True
Let q(l) = l**2 - 7*l + 336. Is 9 a factor of q(21)?
True
Let x be 0/2*(-4)/8. Suppose 2*i - 5*i + 279 = 3*l, x = 5*i - 5*l - 445. Is 10 a factor of (-11)/(-44) - i/(-4)?
False
Let h = 18 + -14. Suppose -16 - 44 = h*s. Is (-12)/(6/(-2)) - s a multiple of 6?
False
Let t(u) = 14*u + 227. Does 61 divide t(23)?
True
Is 105*16/72*(-18)/(-7) even?
True
Let l = -405 + 698. Is l a multiple of 3?
False
Suppose 11286 = 28*f - 17*f. Is 38 a factor of f?
True
Suppose -40*t = -8805 - 20595. Does 15 divide t?
True
Let j(r) = -6*r - 2. Let l be j(-1). Let w = l - 2. Suppose 1 = 3*n + w*t - 13, -3*t = -12. Does 2 divide n?
True
Suppose -1921*m + 260 = -1911*m. Does 17 divide m?
False
Suppose 17*t = 5*t + 7800. Is 65 a factor of t?
True
Let n(w) be the third derivative of -w**4/8 + 2*w**3/3 + 6*w**2. Does 40 divide n(-12)?
True
Let v = 249 - -381. Does 30 divide v?
True
Let z(s) = s**3 - s + 3. Suppose -4*q + 28 = -4*f, 5*q - f = -3 + 22. Let l = q - 3. Does 3 divide z(l)?
True
Let s be 2*3*(-2)/(-6). Suppose -s*t - 30 = -7*t. Is 19 a factor of ((-114)/(-4))/(t/8)?
True
Let r(p) = 2*p**2 + 15*p + 74. Is r(-10) a multiple of 5?
False
Let q = 640 + -476. Is 3 a factor of q?
False
Suppose -7*h + 4*h = -2*i + 1490, -2970 = -4*i + h. Does 16 divide i?
False
Let g(y) = 48*y - 80. Is 34 a factor of g(31)?
False
Let m = 56 + 33. Suppose 2*q + 21 - m = 4*d, -4*d - 116 = -4*q. Does 12 divide q?
True
Let p(w) = 7*w**2 - 5 - 14*w - 2 + w**3 + 2 + 3*w. Let c(f) = f**3 - f**2 - 4*f - 4. Let i be c(-2). Does 17 divide p(i)?
False
Suppose 6*b - 4*b = -3*k + 7, 3*k + 4*b + 1 = 0. Suppose -k*f = 5*d - 35, 4*f = -d - d + 24. Suppose q + 3*w - 1 = 0, -f = -3*w + 4*w. Is q a multiple of 5?
False
Let t be 14/63 + 313/9. Let v be (t + 1)*1/2. Suppose 9 + v = c. Does 11 divide c?
False
Does 15 divide ((-480)/(-1))/((-18)/(-27))?
True
Let x(y) = y**2 + 3*y - 10. Let b be x(7). Suppose -5*a + b = 2*f, -3*a - 4*f = -6*a + 62. Suppose 0 = 9*s - a*s + 155. Does 31 divide s?
True
Suppose 5*y - 921 - 529 = 0. Suppose -y = -h - h. Is 13 a factor of h?
False
Let w = -25 + 54. Suppose 3*t - w = -11. Is 3 a factor of t?
True
Suppose -4*x - 3*u = -5*x + 43, 0 = 4*x + u - 146. Is x even?
False
Let c(t) = t**3 - 3*t**2 - 4*t. Let b be c(4). Suppose -3*u + 180 = -b*u. Suppose 5*l = 65 + u. Does 13 divide l?
False
Suppose -3980 = -5*m + 5*h, -2*m + h = -0*h - 1591. Suppose v - m = -2*v. Suppose 3*p + 2*p = v. Is 15 a factor of p?
False
Let t(f) = 59 + 5*f - 8*f + 4*f. Is t(-20) a multiple of 3?
True
Let m = -40 - -48. Let q = 20 + m. Is 4 a factor of q?
True
Does 20 divide 886*(-6)/48*-8?
False
Is 26 a factor of 1/(-1 - (-1500)/1495)?
False
Suppose -q = -0*q - 88. Suppose -2*t + 23 = -k - 62, q = 2*t - 2*k. Is 7 a factor of t?
False
Let v be -2 + 3/(15/130). Let r = v + -20. Is 4 a factor of r?
True
Is 4 a factor of (64/(-24))/(8/(-156))?
True
Suppose -85 = 10*f + 85. Let h = 34 + f. Is h a multiple of 8?
False
Suppose -z - 7*g + 4*g = -2259, 2264 = z + 4*g. Is 51 a factor of z?
True
Suppose 2*l + l = 6. Suppose 2*r - 5*x = 27, 3*r + 14 = l*r - 3*x. Suppose -3*u - r = -31. Is 5 a factor of u?
True
Is ((-19)/2)/(21/(-2058)) a multiple of 9?
False
Let y(j) = 4*j**3 - 3*j**2 - 2*j + 6. Let u be y(2). Suppose -u*s + 21*s = -78. Does 7 divide s?
False
Is (-70656)/(-528) - (-4)/22 a multiple of 19?
False
Let r(s) = s**2 - 3*s - 27. Let q be r(-11). Let y = 53 + q. Is y a multiple of 27?
False
Suppose 656 = 2*k - 4*f, f = -115*k + 116*k - 332. Is 4 a factor of k?
True
Suppose 59*j = 50*j + 504. Is j a multiple of 14?
True
Let j(p) = p + 8. Suppose 0 = -3*u + 5*f + 7 - 0, -3*u - 3*f - 33 = 0. Let z be j(u). Suppose -5*h + 65 + 36 = z*n, -3*n - 5*h = -159. Does 22 divide n?
False
Is 83 a factor of 13/((-715)/154)*415/(-2)?
True
Suppose 0*i = i - u - 16, 4*u = -4*i + 104. Let q = 25 - i. Does 3 divide 3 + q/(-1) - -14?
False
Let n(s) = -s**3 + 7*s**2 - 4*s - 7. Let j be n(6). Suppose -2*b + 0*b = -j*h + 13, 2*b + 19 = -h. Let t = 25 + b. Does 8 divide t?
True
Let r(w) = 19*w**3 + 3*w**2 - w - 4. Is r(3) a multiple of 13?
True
Suppose -6*u + 304 = 2*u. Does 6 divide u + -2 + -4 + 7?
False
Let h = 42 + -39. Is 37 a factor of (-6)/h*((-545)/10 + -1)?
True
Let u = 72 - -908. Is 28 a factor of u?
True
Let s = -135 - -379. Does 20 divide s?
False
Let r = -113 - -243. Suppose 0 = -g - g + r. Is 13 a factor of g?
True
Suppose -670 = -3*v + 5*o, 5*v = o + 1301 - 199. Suppose v = -5*p - 5*k, -3*p = k + 4*k + 122. Let b = 112 + p. Does 21 divide b?
True
Suppose 9*a - 6720 = -19*a. Suppose 211 = -4*j - 193. Let u = a + j. Does 29 divide u?
False
Let w(b) = -b**3 + 9*b**2 + 8*b - 20. Let m be w(9). Let u = m - 42. Does 4 divide u?
False
Let u(a) = -a**3 + 5*a**2 - 4*a + 2. Let d = -4 + 8. Let f be u(d). Is 5 a factor of 18 + f/(-2)*1?
False
Suppose 4*v + 8 + 37 = -i, 0 = -4*i - v - 255. Let j = -15 - i. Is 5 a factor of j?
True
Let a(x) = -26*x**3 - x**2 + 2*x - 1. Let t be a(1). Let v = t - -55. Suppose -21 - v = -5*l. Does 8 divide l?
False
Let c(z) = -z**3 + 28*z**2 + 28*z - 210. Is 93 a factor of c(18)?
True
Suppose -10*l + 5472 = 2*l. Is 3/7 + l/14 even?
False
Suppose 3 - 79 = 19*x. Suppose 0 = a + a + 72. Is 9 a factor of (2/x)/(2/a)?
True
Suppose -2*z + 6080 = y, 20*z = 21*z - 2*y - 3040. Is 16 a factor of z?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of 5981*t**5 + 7*t**3 + 380246*t wrt t?
119620*t**3 + 42*t
What is the third derivative of d**3*h*i + 19*d**3*h - 14*d**3*i**2 + 10*d**2*h*i**2 - 13*d**2*h + 5*d**2*i**2 - 5*d**2 - d*h*i wrt d?
6*h*i + 114*h - 84*i**2
Differentiate -7*a**2*u**2 + 3*a**2*u - 35421*a**2 - 3*a*u**3 wrt u.
-14*a**2*u + 3*a**2 - 9*a*u**2
What is the derivative of -11681*v**2 + 6*v + 309216?
-23362*v + 6
What is the third derivative of -3*c**2*p**3 + 13*c**2*p**2 + 3*c**2 - 30*c*p**3 - 4*c*p + p**3 - 6*p**2 wrt p?
-18*c**2 - 180*c + 6
What is the second derivative of -10900*a**2*d**2*u**2 + 3*a**2*d*u**2 + 12*a**2*u**2 + 2*a*d*u**2 - 197*a*d - 5*d**3 wrt d?
-21800*a**2*u**2 - 30*d
Find the second derivative of 119*s**2*z**2 - 3*s**2*z + s**2 - 7628*s*z**2 - 9*s*z + 17*s - 7*z wrt z.
238*s**2 - 15256*s
What is the first derivative of 4*c**2*n**2 + 2*c**2*p*w + 60*c*n**2*p + 1056*c*n**2*w + 2*c*n*p + 2*c*p*w - 2*n*p wrt w?
2*c**2*p + 1056*c*n**2 + 2*c*p
What is the second derivative of 2*i**2*m**2 - 23*i**2*m + 624*i**2 - 11628*i*m**2 + 4*i*m - m**2 wrt i?
4*m**2 - 46*m + 1248
Find the third derivative of -39*i**3*s**2 + 129*i**3*s + 2*i**3 - i**2*s + 15*s**2 + 653*s wrt i.
-234*s**2 + 774*s + 12
Find the second derivative of -97535*z**3 + z**2 + 17857*z + 3.
-585210*z + 2
Find the first derivative of -6*o**4 + 63*o + 1300.
-24*o**3 + 63
What is the third derivative of -20839*s**3*t**3 + 2*s**3*t**2 + s*t**2 + 7*s*t - 175*t wrt t?
-125034*s**3
What is the second derivative of -191055*u**3 + 237*u + 127 wrt u?
-1146330*u
Find the third derivative of 12*l**4*u**2 + 102*l**4*u + 667*l**2*u + 3*l*u + 4*u**2 wrt l.
288*l*u**2 + 2448*l*u
What is the third derivative of -40226*g**6 + 6681*g**2 + 1?
-4827120*g**3
What is the third derivative of -5*q**5 + 4266*q**4 + 219*q**2 + 30?
-300*q**2 + 102384*q
What is the second derivative of -221492*l**2*z**2 + 2*l**2*z - 43*l**2 - 719*l*z - 2*l - 5*z wrt z?
-442984*l**2
Find the first derivative of 237*j**4*k**2 + 133*j*k**2 - 3*k**2 - 1111*k + 4 wrt j.
948*j**3*k**2 + 133*k**2
Find the third derivative of 432813*g**3 - 6*g**2 - 71*g - 122.
2596878
What is the second derivative of -37*j*m**2*z**3 - 572*j*m*z**3 - 5*j*m*z - 3*j*m + 4437*m**2*z**3 + 5*m*z**3 wrt m?
-74*j*z**3 + 8874*z**3
Find the third derivative of -37101*m**3 - 5*m**2 - 4*m + 112 wrt m.
-222606
What is the third derivative of 2464349*n**3 - 3*n**2 + 12379*n - 10 wrt n?
14786094
What is the derivative of -16*i*j**2 + 2*i - 6507*j**2 - 103230 wrt j?
-32*i*j - 13014*j
Find the second derivative of -3*x**5 - 48357*x**4 + 2*x**2 - 50338*x + 7.
-60*x**3 - 580284*x**2 + 4
What is the first derivative of b**2*r - 40842*b**2 + 19478*r wrt r?
b**2 + 19478
Find the first derivative of -26*k**2 - 15041*k - 179212 wrt k.
-52*k - 15041
Find the first derivative of 588*m*n**2 - 210*m*n - 175937*n**2 + 2 wrt m.
588*n**2 - 210*n
What is the derivative of 9*z**2 + 13928*z - 911112 wrt z?
18*z + 13928
What is the third derivative of 19389*h**6 - 2*h**3 + h**2 + 9094*h?
2326680*h**3 - 12
Find the second derivative of 20*h**3*z**3 + 17*h**3*z**2 + 2*h**3 + 2903*z - 1 wrt z.
120*h**3*z + 34*h**3
Find the third derivative of 46635*m**5 - 2*m**2 + 203720*m wrt m.
2798100*m**2
Find the second derivative of -124263*t**2 + 189281*t.
-248526
Find the third derivative of -10824*t**3 + t**2 + 30835*t + 2.
-64944
What is the second derivative of 207464*m**2 + 1589*m - 61 wrt m?
414928
Find the third derivative of -81221*v**3 + 624387*v**2 wrt v.
-487326
Find the third derivative of -25*w**6 - 522*w**3 + 6*w**2 + 173*w - 2.
-3000*w**3 - 3132
Find the second derivative of -c**3 - 1569940*c**2 - 1198906*c.
-6*c - 3139880
What is the third derivative of 8*d*k**2*n**3 - 25*d*k*n**2 + 146*d*n**3 + 3*k**2*n**2 + 4*k**2 + 2*n**3 - 12*n**2 wrt n?
48*d*k**2 + 876*d + 12
Differentiate 4*k*r**2 - 12*k*r + 3*k + r**2 - 147*r + 65541 with respect to r.
8*k*r - 12*k + 2*r - 147
Find the second derivative of -c**3*w + 1177575*c**2*w + 511*c*w - c - 11*w + 2 wrt c.
-6*c*w + 2355150*w
Differentiate 33*n**2*y - n**2 - 2*n*y**2 + 14*n - 31*y**2 + 19500*y wrt n.
66*n*y - 2*n - 2*y**2 + 14
Find the third derivative of -3*o*y**5 + 4*o*y**2 + 5*o*y + 2*o - 4*y**5 - 1166*y**3 - 43*y**2 - 20 wrt y.
-180*o*y**2 - 240*y**2 - 6996
What is the first derivative of -392490*x**2 + 174219?
-784980*x
Find the first derivative of -2*j**4*x - 33682*j**2*x - 2*j*x - 387496*x wrt j.
-8*j**3*x - 67364*j*x - 2*x
Find the second derivative of 16*c*p**5 - 4080*c*p**3 + 91*c*p + 7*c + 86*p wrt p.
320*c*p**3 - 24480*c*p
What is the third derivative of -4490989*m**4 - 946528*m**2?
-107783736*m
What is the third derivative of 117*h*l**5 - 22*h*l**2 + 2823*l**5*p**2 + 748*l**2*p**2 + l**2*p - 6*l wrt l?
7020*h*l**2 + 169380*l**2*p**2
Find the second derivative of -870*k*r**2 + 34*k*r - 11*r**4 - 240*r wrt r.
-1740*k - 132*r**2
Find the second derivative of -4421873*d**2 + 2959079*d wrt d.
-8843746
Differentiate -185189*z**2 + z - 2222475 wrt z.
-370378*z + 1
Find the third derivative of -2*q**3*s**3 + 250*q**3*s**2 - 104*q**3 + 101052*q**2*s**3 - 5*s**3 wrt q.
-12*s**3 + 1500*s**2 - 624
What is the first derivative of -82284*c + 6128?
-82284
Find the second derivative of 246*o**5 - o**4 - o**3 + 4*o**2 + 393700*o wrt o.
4920*o**3 - 12*o**2 - 6*o + 8
What is the second derivative of -6*p*q**3 + 9030*p*q**2 - 37*p*q + 76*p + q wrt q?
-36*p*q + 18060*p
What is the derivative of 16088*q**2*z**2 - 96*z**2 + z + 10 wrt q?
32176*q*z**2
What is the second derivative of 27061*k*m**4 + 9*k*m - 5515*k + 2*m**5 wrt m?
324732*k*m**2 + 40*m**3
Find the third derivative of 2*b**2*n**4 - 7*b**2*n**2 + 4*b*n**2 + 516664*n**4 - 350*n**2 - 3 wrt n.
48*b**2*n + 12399936*n
What is the derivative of 19199*g*o**3*w + g*o**2*w - 35*g*o - 10*o**3 - 2*o**2 - 4*o wrt w?
19199*g*o**3 + g*o**2
Find the third derivative of -t**6 + 3*t**4 - 171*t**3 + 3881*t**2 + 3*t wrt t.
-120*t**3 + 72*t - 1026
What is the third derivative of -405655*y**5 + 4*y**2 + 12806?
-24339300*y**2
What is the second derivative of -4*t*y**3 - 4*t + 4913*y**4 - 3*y - 156 wrt y?
-24*t*y + 58956*y**2
Find the second derivative of 655612*y**2 - 418424*y wrt y.
1311224
Differentiate 89*c**4 + 63*c**3 + 2*c**2 + 3019 wrt c.
356*c**3 + 189*c**2 + 4*c
Differentiate -6813*c*h*t - 977*c*h - 2*c*t + 72*c + 8*h*t - 1 wrt t.
-6813*c*h - 2*c + 8*h
What is the second derivative of v**4 + 812*v**3 + 7*v**2 - 76184*v?
12*v**2 + 4872*v + 14
Find the third derivative of -6004*h**2*k**3 + 181*h**2 + h*k**3 + h*k**2 - 102*h*k + 16*k**3 wrt k.
-36024*h**2 + 6*h + 96
What is the derivative of -4385*p**4 - p**3 + p**2 - 192659 wrt p?
-17540*p**3 - 3*p**2 + 2*p
Find the third derivative of 205347*b**4 + 2*b**2 + 12755*b - 1 wrt b.
4928328*b
Find the first derivative of 2*h**3*w**2 + 63*h**3 + 20*h**2*w - h**2 - 3037*w**2 + 1609 wrt w.
4*h**3*w + 20*h**2 - 6074*w
What is the derivative of 11018*j**2*x**2 - 60*j*m*x**2 - 11*m*x**2 - 14*m*x + 24*x - 33 wrt j?
22036*j*x**2 - 60*m*x**2
Find the third derivative of 221022*g**3 + 4*g**2 - 12451*g + 4 wrt g.
1326132
Find the third derivative of -9039*o**4 + 17*o**3 - 235090*o**2 wrt o.
-216936*o + 102
What is the second derivative of 1872*b**2*z**2 - 261706*b**2 - 277*b*z**2 - b*z - 2*z wrt z?
3744*b**2 - 554*b
Find the third derivative of -371*f**2*t*x**3 + f**2*t*x - 8*f*t*x**2 - 4*f*x**2 + 32*t*x**3 + 4 wrt x.
-2226*f**2*t + 192*t
What is the second derivative of -7*o**4 + 112*o**3 + 15*o**2 - 2942*o?
-84*o**2 + 672*o + 30
What is the second derivative of 2*g**4*n - 8*g**4 - 6*g**2*n + 31437*g*n wrt g?
24*g**2*n - 96*g**2 - 12*n
Find the second derivative of 87*h**3 - 686*h**2 - 402*h + 17.
522*h - 1372
Find the second derivative of 1471542*c**3 + 27314*c - 3.
8829252*c
Differentiate 2*c**4*m**3 + 3037*c**4 - 4*m**3 - 2246*m wrt c.
8*c**3*m**3 + 12148*c**3
Differentiate -p*r**2 - 2*p*r + 118257*p - 2790*r**2 - r with respect to r.
-2*p*r - 2*p - 5580*r - 1
What is the second derivative of 4743750*n**2 + 3646644*n wrt n?
9487500
What is the first derivative of -k**4*o - 27991*k**3*o - 2*k + 472*o + 1304 wrt k?
-4*k**3*o - 83973*k**2*o - 2
Find the second derivative of -5964*p**3 + 19*p**2 + 205742*p - 2 wrt p.
-35784*p + 38
What is the first derivative of 10*d**3*q*
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the first derivative of 153819*f**4 - 49*f*z - 17729425*z wrt f?
615276*f**3 - 49*z
Find the first derivative of -22165252*k**4 - 21816675 wrt k.
-88661008*k**3
What is the derivative of 7795*b*t + 66815019*b - 22906*t wrt t?
7795*b - 22906
What is the first derivative of x**3 + 2*x**2 + 52898087*x + 245043619?
3*x**2 + 4*x + 52898087
Differentiate 153099891*z**2 - 103846508 wrt z.
306199782*z
Find the third derivative of -3747*c**3*f**3 - 8728*c**3*f**2 - c**3*f - 669*c**2*f**3 - 4*c*f**2 + f**2 + 8 wrt f.
-22482*c**3 - 4014*c**2
Find the second derivative of 329484414*x**2 + 501*x + 532429 wrt x.
658968828
Find the second derivative of -46535190*f**2 - 84495005*f wrt f.
-93070380
Find the first derivative of 14*r**2 - 1528202*r + 33408946.
28*r - 1528202
Find the second derivative of -5*q**3 + 9720304*q**2 - 827371728*q wrt q.
-30*q + 19440608
What is the first derivative of 389366887*s + 372414585?
389366887
Find the second derivative of -187372*b**4 - 2*b**3 + 11*b**2 - 59788940*b.
-2248464*b**2 - 12*b + 22
Differentiate 6*q**4*u**2 - 129818*q**4 - q*u + 8*u**2 + 248263*u wrt q.
24*q**3*u**2 - 519272*q**3 - u
Find the third derivative of -33583841*s**4 - 162509275*s**2 wrt s.
-806012184*s
Differentiate 2145*b**2*o - 382005824*b**2 + 40424*o**4 wrt o.
2145*b**2 + 161696*o**3
What is the second derivative of -10551*w**5 + 1459*w**3 + 2*w + 77321935?
-211020*w**3 + 8754*w
Find the third derivative of -508625158*b**3*n**2 - 102481*b**2*n**2 + 924*b**2*n wrt b.
-3051750948*n**2
Find the first derivative of 40030794*c - 145575401.
40030794
What is the derivative of 14078194*g - 34206519 wrt g?
14078194
What is the third derivative of -19408*t**4 + 111*t**3 - 804655064*t**2 wrt t?
-465792*t + 666
Find the second derivative of 10*v**3 - 581977*v**2 - 41293*v + 245.
60*v - 1163954
Find the third derivative of -8544318*t**3 - 3*t**2 - 190775*t + 4 wrt t.
-51265908
What is the second derivative of 31744458*v**5 - 7544*v + 9588 wrt v?
634889160*v**3
Differentiate -252300*k**2*u + 658662790*k**2 - 47*k*u**3 wrt u.
-252300*k**2 - 141*k*u**2
Differentiate -46*a*v**2 - 2043*a*v - 6402*a + 258 with respect to v.
-92*a*v - 2043*a
Find the third derivative of 72089*l**2*w**3 - 3685*l**2*w**2 + 7*l*w**3 + 31*w**3 - 3955*w wrt w.
432534*l**2 + 42*l + 186
Find the first derivative of 16934*s**2*v + 183*s**2 + s*v + 2072*s + 1118*v + 42 wrt v.
16934*s**2 + s + 1118
What is the second derivative of 3*f*o**4 - 48*f*o - 5*o**4 + 33527*o**2 - 242511*o wrt o?
36*f*o**2 - 60*o**2 + 67054
Find the third derivative of -140717314*n**3*t - 106016791*n**2*t + t wrt n.
-844303884*t
What is the third derivative of -23672979*b*i**3 + 34*b*i**2 - 779*b*i + 13*b + 2 wrt i?
-142037874*b
Find the third derivative of 19*w**4 - 592320*w**3 + 3259*w**2 + 5*w - 548.
456*w - 3553920
Find the second derivative of -7705085*i**3 - 188*i + 385.
-46230510*i
Find the third derivative of 12870*o**5*x**3 - 3*o**5*x - 95*o**2*x**3 - 10173*x wrt o.
772200*o**2*x**3 - 180*o**2*x
Find the third derivative of -80149*g**2*y**3 + 115022*g**2*y**2 + 8*g**2*y - 2*g**2 - 3*g*y**3 + g*y + 7*y**3 wrt y.
-480894*g**2 - 18*g + 42
Find the second derivative of 43*f**2*r**2 - 169*f**2*r + 8*f**2 - 6*f*r**2 + 2*f*r - 19*f - 13463*r**2 - r + 3 wrt r.
86*f**2 - 12*f - 26926
Find the first derivative of -41538742*d*i**2 - 15*i**2 + 563*i + 881 wrt d.
-41538742*i**2
Find the second derivative of -45157906*m**2*s**3 + 767131*m*s**3 + 7*m*s**2 wrt m.
-90315812*s**3
Find the second derivative of -63982521*j**5 + 127653044*j wrt j.
-1279650420*j**3
What is the third derivative of -282635*h**3 - 6067767*h**2?
-1695810
Find the first derivative of 170*z**2 - 1941640*z + 226134349 wrt z.
340*z - 1941640
Find the third derivative of 5*l**2*u**3 - 23*l**2*u + l**2 - 766*l*u**3 - l*u**2 + 2*l*u + 1872*u**3 + 4*u**2 - 24 wrt u.
30*l**2 - 4596*l + 11232
What is the third derivative of 81*d**2*j**3*m**3 - d**2*m + d*j*m**3 - 78466*j**3*m**3 + 615827*j**2*m wrt j?
486*d**2*m**3 - 470796*m**3
What is the first derivative of -10236010*d**3*h**4 - 2*d**3 - d**2 - 697666*d - 3*h**4 - 1 wrt h?
-40944040*d**3*h**3 - 12*h**3
What is the third derivative of 309141586*g**3 - 684*g**2 - 2*g + 120780?
1854849516
What is the second derivative of 120016995*o**2 - 27*o + 489492?
240033990
What is the second derivative of -66476903*n**2*x**3 + 2246292*n*x**2 + 4*x**3 wrt n?
-132953806*x**3
What is the derivative of 60101614*k**4 - 81659533?
240406456*k**3
What is the third derivative of -4956*c**3*x**3 + 199*c**3*x**2 + 2*c**2*x**3 + 848*c**2*x**2 + 7*c**2*x - 5*c*x + c wrt c?
-29736*x**3 + 1194*x**2
What is the second derivative of -99*x**3 + 2136840*x**2 - x - 222475011?
-594*x + 4273680
Find the first derivative of -25*n*u*z - 65*n*z**2 + 28*u*z**2 + 650*u*z - 4368*z**2 wrt u.
-25*n*z + 28*z**2 + 650*z
What is the second derivative of 7*f**3*h**2 - 3*f**3*h - 22159*f**2*h**2 + 9*f**2 + 10*h**2 + 23861*h wrt h?
14*f**3 - 44318*f**2 + 20
What is the second derivative of -3186*x*z**2 - x - 46706*z**2 + 4*z + 896209 wrt z?
-6372*x - 93412
What is the third derivative of -1164526483*h*r**3 + 9361*h*r - 182*h + 9*r**2 wrt r?
-6987158898*h
What is the third derivative of -47949263*d**2*r**3 - 19691039*d**2*r**2 - 2*r**2 wrt r?
-287695578*d**2
What is the third derivative of 71663500*o**3 - 29492*o**2 - 758 wrt o?
429981000
What is the first derivative of 3854042*x - 23785203?
3854042
What is the third derivative of 13230500*q**5 + 485492*q**2 - 3*q - 2 wrt q?
793830000*q**2
What is the second derivative of -182*j**3 + 60470*j**2 - 40063376*j?
-1092*j + 120940
What is the first derivative of 626848853*b**3 + 196395129 wrt b?
1880546559*b**2
Find the first derivative of -26069*p**3 - 45*p**2 - 8*p + 139453179.
-78207*p**2 - 90*p - 8
What is the derivative of 13878792*j**2 + 14430728 wrt j?
27757584*j
Differentiate -190290192*f - 107673127 with respect to f.
-190290192
What is the second derivative of 127291893*s**2 + 24955206*s?
254583786
What is the first derivative of 16345805*i - 24576275?
16345805
Differentiate 28053*h**2*p*w + h**2*w - 151*h*p*w - p - 176*w + 7004 with respect to h.
56106*h*p*w + 2*h*w - 151*p*w
What is the second derivative of -16*b**2*z**3 + 4979*b**2*z**2 - 2*b**2 + b*z**3 + 148*b*z + 10*z**2 + 397 wrt b?
-32*z**3 + 9958*z**2 - 4
What is the first derivative of 5*n**3*w - 9*n**3 + 185902*n**2 + n*w**3 - n + 4176545*w + 7 wrt w?
5*n**3 + 3*n*w**2 + 4176545
Differentiate 2*n**3 - 12*n**2 - 109700*n + 77629057.
6*n**2 - 24*n - 109700
What is the derivative of -23426090*i - 11356319 wrt i?
-23426090
Differentiate -m*u*y**3 - 6768951*m*u*y**2 + 829*u*y**3 - 12*u*y + y**3 + 2*y**2 - 6*y wrt m.
-u*y**3 - 6768951*u*y**2
What is the third derivative of -44182788*i*w**3 + 8835*i*w**2 + 24*i*w + 5*i - 2*w**3 - 6 wrt w?
-265096728*i - 12
What is the first derivative of 2588702*d**4*q**2 + 3*d*q**2 - q**2 + 2836536 wrt d?
10354808*d**3*q**2 + 3*q**2
What is the third derivative of -88501227*y**3 + 69803*y**2 + 1317*y wrt y?
-531007362
What is the second derivative of 9685735*n**5 - 263*n - 17099 wrt n?
193714700*n**3
What is the derivative of -12*b**4*c**2*j - 180500*b*c**2 + 56*c**2*j - 2580*c**2 - 2*c*j - 1 wrt b?
-48*b**3*c**2*j - 180500*c**2
Find the first derivative of 317*l*o**2 + 2*l*o + 30956*l - 2*o**2 - 18564646*o wrt l.
317*o**2 + 2*o + 30956
What is the second derivative of 1721861*a*f**2 - 7539744*a - f wrt f?
3443722*a
What is the third derivative of f**5 + 207697*f**4 + 3*f**3 - 51722*f**2 + 15*f + 5 wrt f?
60*f**2 + 4984728*f + 18
What is the derivative of -15801433*z**3 + 3*z + 139937592?
-47404299*z**2 + 3
What is the second derivative of 2828095*j**2 + j - 1488770 wrt j?
5656190
What is the second derivative of -317019644*x**2 + 942336869*x?
-634039288
Differentiate 56092138*j**3 + 2*j**2 - 2*j - 1305989309 with respect to j.
168276414*j**2 + 4*j - 2
Differentiate 30780805*i**2 + 7*i*p**2 + 116*p**2 + 183*p + 10 with respect to i.
61561610*i + 7*p**2
What is the third derivative of 4*d**3*f + 17423360*d**3 + 4418*d**2 - 16*d*f + 3*f wrt d?
24*f + 104540160
What is the second derivative of 14*c**4 - 31402*c**3 + c**2 - 231159660*c?
168*c**2 - 188412*c + 2
Find the third derivative of -22328230*v**4 - 11402
|
{
"pile_set_name": "DM Mathematics"
}
|
). What is 5*l(c) - 4*o(c)?
-c + 2
Let d(f) = f**3 + 3*f**2 - 4*f - 3. Let g(p) = p**3 + 5*p**2 - 7*p - 5. Let l = -19 - -22. Calculate l*g(k) - 5*d(k).
-2*k**3 - k
Let k(q) = q**3 + q**2 - q. Let p(s) = 9*s**2 - 9*s. Determine 9*k(f) - p(f).
9*f**3
Let p(a) = -9*a - 4. Let g(b) = 14*b + 6. Let n(y) = -3*y + 4. Let j be n(3). Give j*g(t) - 8*p(t).
2*t + 2
Let u(b) = 13*b**3 + 5*b - 12. Let g(o) = -o + 1. Let s(j) = 5*g(j) + u(j). Let c(i) = -7*i**3 + 4. What is -11*c(x) - 6*s(x)?
-x**3 - 2
Let t(z) = z - 1. Suppose 2*j + 8 - 6 = 0. Let y(k) = -1. Let m(l) = -l - 4. Let r(u) = -m(u) + 2*y(u). What is j*t(d) - r(d)?
-2*d - 1
Let n(y) = -y**3 + 4*y**2 + 2*y - 4. Let s be n(3). Let k(t) = t**2 - 4*t - 1. Let p(r) = -6*r**2 + 21*r + 5. Calculate s*k(u) + 2*p(u).
-u**2 - 2*u - 1
Let c(u) = -9*u**2 - 6*u. Let o = 23 + -24. Let x(m) = 8*m**2 - 3*m - 11. Let f(n) = 3*n**2 - n - 4. Let k(i) = -11*f(i) + 4*x(i). Determine o*c(j) + 6*k(j).
3*j**2
Let f(a) = 9*a + 4. Let s(g) = 8*g + 5. What is 6*f(m) - 7*s(m)?
-2*m - 11
Let w(y) = 5*y + 1. Let z(q) = 0*q + 15*q + 3 - 5*q + 6*q. What is -7*w(m) + 2*z(m)?
-3*m - 1
Let r be 5/(-2)*12/(-15). Let n(d) = -r*d**2 - 3*d**3 - 4*d**2 - 13*d - d**2. Let b(g) = g**3 + 2*g**2 + 4*g. Calculate 7*b(f) + 2*n(f).
f**3 + 2*f
Let v(h) = 3*h**2 - 1. Let z(r) = -2*r**2 + 1. Calculate 3*v(w) + 2*z(w).
5*w**2 - 1
Let a(j) = j - 1. Let m(s) = 13*s - 3. Let y be m(1). Suppose 1 = r - 2. Let h(x) = 3 - r*x - x + 2. Calculate y*a(q) + 2*h(q).
2*q
Let y(w) = w. Let r be y(2). Let p(u) = -u**3 + u**2 + u. Let a(o) = 3*o**3 - 2*o**2 - 2*o + 2. What is r*p(t) + a(t)?
t**3 + 2
Let s(r) = 1 - 6*r - 7 + 4 + 1. Let y(a) = -a. Let i(v) = -s(v) + 5*y(v). Let m(g) = 3*g + 1. Give 2*i(t) - m(t).
-t + 1
Let y(f) = 9*f**3 + 5*f**2 - 7*f - 3. Suppose 4*u - 28 = -3*t, 5*u = -3*t + 3 + 32. Let z(j) = 5*j**3 + 3*j**2 - 4*j - 2. Give u*z(m) - 4*y(m).
-m**3 + m**2 - 2
Let h(s) = 11*s**3 - 9*s**2. Let m(t) = -t**3 + 11*t**2 + 5. Let l be m(11). Let o(c) = 5*c**3 - 4*c**2. Give l*o(d) - 2*h(d).
3*d**3 - 2*d**2
Let h(i) = 7*i + 2. Let q(v) = v + 1. What is -h(d) + 4*q(d)?
-3*d + 2
Let c(h) = 2*h**2 - 2*h - 6. Let k(p) = -1. Determine -c(y) - k(y).
-2*y**2 + 2*y + 7
Let d(a) = 3*a**3 + 2*a**2 + 2*a - 4. Let n = 69 + -58. Let y(i) = -8*i**3 - 5*i**2 - 6*i + 11. Calculate n*d(b) + 4*y(b).
b**3 + 2*b**2 - 2*b
Let t(w) = 5*w**3 + 6*w**2 - 10*w + 8. Let n be 33/7*-1 + 4/(-14). Let z(j) = 4*j**3 + 5*j**2 - 9*j + 7. Determine n*t(v) + 6*z(v).
-v**3 - 4*v + 2
Suppose 14 = y + 19. Let s(u) be the second derivative of 1/2*u**2 - u + 0. Let b(m) = -m**2 + 5. Calculate y*s(g) + b(g).
-g**2
Let t be (-1)/5 - (-27)/(-15). Let f(o) = -o. Let y(p) = -p. What is t*y(j) + 3*f(j)?
-j
Let g(u) be the second derivative of u**4/4 + 17*u**3/6 - 3*u**2 - 11*u. Let v(a) = -a**2 - 6*a + 2. Calculate 6*g(k) + 17*v(k).
k**2 - 2
Let t(r) be the first derivative of r**4/4 + r**3/3 + r**2/2 - 1. Let j(b) = 8*b**3 + 6*b**2 + 6*b. Suppose 4*c + c = -30. Determine c*t(z) + j(z).
2*z**3
Let s(l) be the second derivative of -l**5/5 - l**4/6 + l**3/6 - l**2/2 + 5*l. Let r(x) = 9*x**3 + 5*x**2 - 3*x + 2. Calculate -2*r(m) - 5*s(m).
2*m**3 + m + 1
Let w = -4 + 2. Let l(x) = x**2 - x. Let i(n) = -1. Let u(h) = -h + 2*h + 3 + 2. Let c(y) = -5*i(y) - u(y). Determine w*c(a) + 2*l(a).
2*a**2
Let m(k) = k**3 + k**2 + k. Let s = -25 + 19. Let i(t) = -4*t**3 - 3*t**2 - 3*t + 1. What is s*m(q) - 2*i(q)?
2*q**3 - 2
Let j(k) = -2*k**3 + 3*k**2 + 1. Let v(b) = 3*b**3 - 4*b**2 - 2. Suppose 2*p - 9 = -p. Determine p*v(q) + 4*j(q).
q**3 - 2
Let z(c) = 3*c**3 - 17*c**2 + 14*c + 17. Let j(d) = -d + d**3 - 2*d + 6 + 2*d - 6*d**2 + 6*d. Determine -17*j(p) + 6*z(p).
p**3 - p
Let y(d) = -7*d + 1. Let s(p) = -13*p + 2. What is 2*s(j) - 5*y(j)?
9*j - 1
Suppose 4*k = -9 + 1. Let q(j) = -2*j**3 + 22*j**2 + 22. Let y(w) = w**2 + 1. Determine k*q(n) + 44*y(n).
4*n**3
Let g be 2 + 0 - (-1 + -1). Let f(d) = d**2 - 4*d + d + g*d. Let m(i) = 3*i**2 - i**3 + 3*i - 2*i - 9*i**2 - 7*i. Give 6*f(l) + m(l).
-l**3
Let n(x) = -7*x + 13. Let o(u) = 3*u - 6. Determine -4*n(j) - 9*o(j).
j + 2
Suppose 4*z + 9 = -l, 2 = -z - 0. Let g(x) = -3*x**2 - x + 1. Let q be (10/(-20))/((-2)/(-4)). Let a(n) = n**2 + n - 1. Give l*a(i) + q*g(i).
2*i**2
Let n = -37 - -40. Let m(k) = 9*k + 5. Let c(g) = 5*g + 3. Calculate n*m(l) - 5*c(l).
2*l
Let o(d) = -d**2. Let l(g) = 3*g**2. What is -l(c) - 6*o(c)?
3*c**2
Let g(p) be the first derivative of 3*p**2/2 + 9*p + 3. Let q(a) = -2*a - 6. Give 5*g(t) + 7*q(t).
t + 3
Let n(x) = -x**2 + 2. Let q(v) = -7*v**2 + 6*v + 3. Let w(l) = -13*l**2 + 11*l + 6. Let p(z) = 11*q(z) - 6*w(z). Give 3*n(f) + 2*p(f).
-f**2
Suppose 2*t = 3*t - 5. Let w = t - 1. Let d(u) = -2*u + 3. Let a(h) = -1. Let l(v) = v - 5. Let n(z) = -3*a(z) + l(z). Give w*d(m) + 7*n(m).
-m - 2
Let f be 3 + -1 + 5 + -3. Let b(o) = -3*o + 3*o - o - 5. Let t be b(-4). Let q(g) = -g - 1. Let z(n) = -2*n - 2. Calculate f*q(l) + t*z(l).
-2*l - 2
Let c(m) = -8*m**3 - 12*m**2 + 12*m. Let g(z) = -3*z**3 - 5*z**2 + 5*z. What is -5*c(o) + 12*g(o)?
4*o**3
Let z(g) = 5*g**2 + 3*g. Let n(b) = -4*b**2 - 3*b - 1. Let u(o) = 6*n(o) + 4*z(o). Let h(a) = 3*a**2 + 5*a + 5. Calculate -6*h(d) - 5*u(d).
2*d**2
Let s = -5 + 3. Let r(a) = a + 1. Let g(v) = 2. Let w(y) = -5. Let u(t) = 7*g(t) + 3*w(t). Let b(c) = c**2 - 6*c - 2. Let k be b(6). What is k*u(p) + s*r(p)?
-2*p
Let i(v) = 1. Let b(h) = -h**2 + 8*h - 10. Let r be b(4). Suppose 12 = -r*q + 48. Let z(n) = 2*n + 6. Determine q*i(s) - z(s).
-2*s
Let r(w) = 11*w**2 + 3*w - 6. Let v be (-3)/(-4*1/(-12)). Let o = v - -26. Let h(a) = 4*a**2 + a - 2. Determine o*h(z) - 6*r(z).
2*z**2 - z + 2
Let d(f) = f**3 - 2*f**2 - 6*f - 9. Let x be d(4). Let g(h) = -h. Let z(v) be the first derivative of -v**2/2 - 2*v - 3. Determine x*z(o) + 3*g(o).
-2*o + 2
Let v(o) = 6*o**2 + 7 + 11*o + 0 - 3 - 1. Let k(d) = -4*d**2 + 5*d + 11. Let w(s) = -2*s**2 + 2*s + 5. Let h(r) = -6*k(r) + 13*w(r). What is 17*h(q) + 6*v(q)?
2*q**2 - 2*q + 1
Let q(m) = -3*m. Let b(z) = z. Let t(o) = 5*b(o) + 2*q(o). Let p(l) be the first derivative of -2*l**3/3 - 7*l**2/2 - l - 15. Calculate p(w) - 5*t(w).
-2*w**2 - 2*w - 1
Let a(q) = -q - 8. Let g(o) = -o - 1. Calculate a(l) - 5*g(l).
4*l - 3
Let s(n) = -n - 4. Let h(q) = -q - 7. Let l be -5*((-24)/(-40) - 4/(-10)). Calculate l*s(i) + 3*h(i).
2*i - 1
Let b(u) = -u**2 + 6*u + 3. Let j(z) = -2*z**2 + z + 4. Let v(t) = -t**2 + t + 2. Let y(r) = 4*j(r) - 9*v(r). What is 4*b(x) + 5*y(x)?
x**2 - x + 2
Let z(x) = 7*x**2 + 9. Let a = 8 + -6. Let o(h) = 3 - h**2 + 0 + 2 + 5*h**a. Give 5*o(y) - 3*z(y).
-y**2 - 2
Let d(w) = -2*w**2 + 3*w - 1. Let c(t) = 3*t**2 - 7*t + 2. Give 2*c(k) + 5*d(k).
-4*k**2 + k - 1
Let s(c) = -35*c**3 + 2*c + 4. Let x(r) = 34*r**3 - 2*r - 3. What is -3*s(d) - 4*x(d)?
-31*d**3 + 2*d
Let y(v) = -v**3 + 11 + 0*v**3 + 11*v - v**3. Let i(g) = -g**3 + 6*g + 6. What is -11*i(u) + 6*y(u)?
-u**3
Let f(i) = -i + 1. Let b(x) = 10*x - 11 - 6 + 2. Let a = 5 + -13. Let z(k) = 3*k - 5. Let w(g) = a*z(g) + 3*b(g). Give 5*f(t) + w(t).
t
Let t(g) = 5*g**3 + 2*g**2 - 3. Let z(o) = 1. Give t(b) + 3*z(b).
5*b**3 + 2*b**2
Let i(m) = -24*m**2 + 12*m + 10. Let j(g) = -g**2 - g - 1. Give i(x) + 12*j(x).
-36*x**2 - 2
Let x(g) = 4*g**2 - 2*g + 1. Let v(f) = -5*f**2 + 3*f - 1. Calculate -2*v(w) - 3*x(w).
-2*w**2 - 1
Let c(k) = -5*k**2 + k + 3. Let b(f) = -14*f**2 + 2*f + 8. Give -4*b(w) + 11*c(w).
w**2 + 3*w + 1
Let k(x) = -15*x - 4. Let y = 26 - 4. Let f(h) = -3*h + 66. Let m be f(24). Let s(d) = -4*d - 1. Give m*k(a) + y*s(a).
2*a + 2
Let a(j) = -3*j**2 + 8. Let s(v) = 1 + 31*v**2 - 57*v**2 + 25*v**2. Give -a(y) + 5*s(y).
-2*y**2 - 3
Let y(u) = 5*u - 7. Let g(h) = -6*h + 8. Let x(v) = 6*g(v) + 7*y(v). Let p(f) = -2*f - 5. Give p(w) - 3*x(w).
w - 2
Let b(n) = 3*n**2 - 2*n + 2. Let y(t) = t**2 + t - 1. Let l = -84 + 86. What is l*y(u) + b(u)?
5*u**2
Let y(g) = 11*g**2 + 8*g - 10. Let f(z) = 10*z**2 + 7*z - 9. Let x(r) = -5*f(r) + 4*y(r). Let w(m) = 2*m**2 + m - 2. Calculate 11*w(n) + 4*x(n).
-2*n**2 - n - 2
Let o be (-1)/2*-22 - 3. Let g(c) be the second derivative of -c**4/3 - 2*c**3/3 - c**2/2 + 3*c. Let h(u) = -11*u**2 - 11*u - 3. Calculate o*g(k) - 3*h(k).
k**2 + k + 1
Let o(x) = -x**2 - 4. Suppose -h - 2*k + k =
|
{
"pile_set_name": "DM Mathematics"
}
|
e of -c**5/15 - 26*c**2. Determine v(g(k)).
-16*k**4
Let z(o) = -10*o**2. Let d(j) be the second derivative of j**4/6 - 4*j. Give d(z(r)).
200*r**4
Let o(z) = -z. Let n = -11 + 2. Let j(w) = -6*w. Let g(i) = n*o(i) + j(i). Let f(b) be the second derivative of b**4/12 - 3*b. Give f(g(p)).
9*p**2
Let d = 3 - 1. Let x = 15 - 13. Let p(i) = i**d + 2*i**2 + 2*i**x - 3*i**2. Let z(h) = -4*h**2. Give p(z(r)).
32*r**4
Let k(x) be the first derivative of -x**3/3 - 3. Let u(s) = -6*s. What is k(u(h))?
-36*h**2
Let x(f) = f**2. Let r = 12 - 10. Let t(s) = 0*s**2 - 4*s**r + s**2. Give t(x(k)).
-3*k**4
Let k(f) be the second derivative of f**4/12 + f. Let p(s) = -16*s**2. Give p(k(h)).
-16*h**4
Let t(x) = -11*x. Let d = -7 + 3. Let v(m) = -3*m. Let j(h) = -4*h. Let w(u) = d*j(u) + 6*v(u). Give t(w(i)).
22*i
Let d(c) = -2*c**2. Suppose 1 = -3*m + 7. Let p(f) = m*f**2 - 4*f**2 - 3*f**2. Calculate p(d(g)).
-20*g**4
Let z(a) = 2*a. Let c(s) = s - 450. What is z(c(f))?
2*f - 900
Suppose 2*o + 5*g = -14 + 4, 4*g + 8 = o. Let c(v) = o + 0 - 2*v. Let d(l) = -2*l. What is c(d(y))?
4*y
Let w(d) = d**2 - 5. Let j(l) = -1. Let n(x) = -5*j(x) + w(x). Let c(v) = 3*v. Give c(n(r)).
3*r**2
Let s(w) = -2*w. Let z(g) = 116*g - 5. What is z(s(c))?
-232*c - 5
Suppose 0 = x + x. Let k(i) = 0*i**2 + x*i**2 - 2*i**2. Let c(w) = 9 + w**2 - 4 - 5. Give k(c(q)).
-2*q**4
Let v(f) be the first derivative of 0*f + 1/2*f**2 - 4. Let g(o) be the second derivative of o**3/3 - 2*o. Calculate g(v(s)).
2*s
Let t(q) = -3*q. Let w(m) = -2*m - 3. What is w(t(a))?
6*a - 3
Let f(o) = 8*o. Let j(s) = -4*s. Let c(n) = -5*n. Let a(u) = 2*c(u) - 3*j(u). Give f(a(v)).
16*v
Let b(o) be the first derivative of -o**3 - 11. Let g(k) = -k. Determine b(g(y)).
-3*y**2
Let y(h) = 10*h**2. Let m(p) = 126*p**2 + 3. Determine m(y(s)).
12600*s**4 + 3
Let c(m) = m. Let w(p) = -6*p**2 + 3*p**2 + 7*p**2. Give w(c(x)).
4*x**2
Let k(p) = -2*p. Let l(i) = 52*i. Determine k(l(h)).
-104*h
Suppose -v + 4*v = 48. Suppose 6*c = 2*c + v. Let n(d) = 2*d - c*d + d - 2*d. Let f(g) = 2*g**2. What is n(f(i))?
-6*i**2
Let t(a) = -3*a**2. Let s(p) = -486*p**2. Give s(t(z)).
-4374*z**4
Let r(h) = -28*h**2. Let v(a) = 5*a**2. Determine r(v(l)).
-700*l**4
Let p(b) be the third derivative of 0 - 5*b**2 + 0*b**3 + 0*b + 1/4*b**4. Let s(j) = j**2. Give s(p(x)).
36*x**2
Let t(v) = -2*v**2. Let z(i) = 40*i - 3. Determine t(z(x)).
-3200*x**2 + 480*x - 18
Let s(i) = -5*i - 6. Let n(l) = -11*l - 13. Let u(p) = -6*n(p) + 13*s(p). Let h(f) be the third derivative of f**5/60 - 2*f**2. Determine h(u(r)).
r**2
Let j(b) be the first derivative of -b**4/6 + 8*b - 1. Let l(f) be the first derivative of j(f). Let u(p) = 2*p**2. Give l(u(q)).
-8*q**4
Let z(f) = 27*f. Let k(w) = 14*w. Let p(v) = -5*k(v) + 3*z(v). Let l(r) = -r**2. What is p(l(d))?
-11*d**2
Let h(t) = 2*t**2 + 586*t. Let o(m) = -7*m. What is o(h(b))?
-14*b**2 - 4102*b
Let f be (-1)/2 + 3/6. Suppose 3*p = -f + 6. Let o(q) = -q + p*q + q. Let x(s) = 2*s. Give x(o(y)).
4*y
Let n(d) be the third derivative of -d**5/20 + 5*d**2. Let y(p) = -3*p. Determine n(y(r)).
-27*r**2
Let p(z) = 136*z**2 + 2. Let v(j) = -2*j**2. What is v(p(c))?
-36992*c**4 - 1088*c**2 - 8
Let r(y) = 22*y. Let o(b) = -b**2 + 2. Let f(k) = -3*k**2 + 5. Let n(u) = 2*f(u) - 5*o(u). Determine n(r(l)).
-484*l**2
Let v(j) = -4*j**2. Let z(i) be the third derivative of -i**5/60 + 3*i**2 + i. What is v(z(x))?
-4*x**4
Let l(o) = -4*o**2 + 3. Let g(b) = b**2 - 1. Let n(m) = -3*g(m) - l(m). Let k(s) = -2*s**2. What is n(k(v))?
4*v**4
Let c(p) = -73*p. Let x(a) = -a**2. Calculate x(c(v)).
-5329*v**2
Let n(m) = 2*m. Let r(w) = 60*w**2 - w. What is n(r(c))?
120*c**2 - 2*c
Let q(g) = 2*g**2. Let o(d) = d + 6. Let m(z) = -5*z - 25. Let f(k) = 2*m(k) + 9*o(k). Let h(u) = u - 7. Let p(v) = 7*f(v) + 4*h(v). Calculate p(q(n)).
-6*n**2
Let r(a) = 24*a + 12*a + 6*a - 9*a. Let u(y) = -y. What is r(u(b))?
-33*b
Let g(h) = h**2. Let t(a) = -1 + 1 + 43*a + 35*a. Calculate g(t(w)).
6084*w**2
Let m(p) = 2*p**2. Let o(z) = 0 - 2 + 6*z + 2. Give o(m(n)).
12*n**2
Let l(a) be the third derivative of a**5/15 + 6*a**2. Let b(i) = 7*i**2. Give b(l(z)).
112*z**4
Let h(r) = -r. Let b(p) = 2217*p**2 - p. Give h(b(z)).
-2217*z**2 + z
Let n = 7 - 6. Let c(u) = -2 + n + 4*u**2 + 1. Let g(q) be the first derivative of -q**2/2 - 1. What is g(c(o))?
-4*o**2
Let t(n) be the first derivative of -n**3 - 49. Let b(l) = -13*l**2. Give t(b(m)).
-507*m**4
Let y(r) = 5*r**2. Let m(w) be the second derivative of -w**5/30 - 2*w**2 - w. Let h(t) be the first derivative of m(t). Calculate y(h(s)).
20*s**4
Let u(n) = 2*n. Let s(w) = -259*w**2. Give s(u(a)).
-1036*a**2
Let i(j) = 6*j - 162. Let w(h) = -2*h. What is w(i(o))?
-12*o + 324
Let g(z) = 24*z. Let u(x) = -44*x**2 - 4. Determine u(g(t)).
-25344*t**2 - 4
Let t(k) = k. Suppose -8 = -4*b, -2*b + 0 = i - 7. Suppose i*r = 20 - 5. Let h(o) = 2*o - 5*o - 3*o + r*o. What is h(t(l))?
-l
Let n(j) = 11*j - 2*j**2 + j**2 - 11*j. Let b(x) = 8*x. What is b(n(f))?
-8*f**2
Let l(i) = i**2 + 362 - 362. Let p be (-3)/9*-1*9. Let d(y) = -p + y + 0*y + 3. Give d(l(n)).
n**2
Let h(o) = -2*o**2 + o**2 + 0*o**2. Let c(t) = 8*t**2. Let z(k) = 2*c(k) + 20*h(k). Let u(a) = 3*a - 3*a - 4*a + 3*a. Determine u(z(d)).
4*d**2
Let f(b) = b + 8. Let c(x) = -1. Let n(d) = 5*c(d) - f(d). Let j(z) = 2*z. Give j(n(t)).
-2*t - 26
Let r(d) = 13*d**2. Let k(a) = 4*a**2 - 8*a. What is r(k(q))?
208*q**4 - 832*q**3 + 832*q**2
Suppose -3*f = -7*f + 12. Let z(s) = -5*s**2 + 3 - f. Let d(r) = -2*r. Calculate z(d(o)).
-20*o**2
Let g(y) be the first derivative of y**4/3 + y + 2. Let w(r) be the first derivative of g(r). Let a(j) = 1 - 1 + 2*j. Determine w(a(i)).
16*i**2
Let f(l) = 3*l**2. Let g(z) = -z - 793. Calculate f(g(p)).
3*p**2 + 4758*p + 1886547
Let f(w) = 183 - 183 - 51*w. Let i(b) = -2*b. Calculate i(f(v)).
102*v
Let x(d) = 2*d. Suppose 0 = 3*b + t - 3*t + 3, 0 = -3*b - 4*t - 3. Let h(j) = -j**2 + 6*j + 6. Let v(n) = -n - 1. Let a(f) = b*h(f) - 6*v(f). Give x(a(k)).
2*k**2
Let t(p) be the second derivative of -p**4/12 + p**2 + 48*p. Let q(m) = m**2. Determine q(t(w)).
w**4 - 4*w**2 + 4
Let v(d) = -2*d**2. Let n(k) be the third derivative of -k**7/1008 - k**5/60 - 3*k**2. Let o(p) be the third derivative of n(p). Determine o(v(z)).
10*z**2
Suppose -d = -0*d - 5. Let q(g) be the third derivative of 0*g**3 + 0*g + g**2 + 1/20*g**d + 0*g**4 + 0. Let t(h) = -h. Calculate q(t(a)).
3*a**2
Let s(k) be the second derivative of k**4/12 + 8*k. Let a(l) be the second derivative of l**4/12 - 2*l. Give a(s(o)).
o**4
Let n(b) = -18 + 29 - 11 + 11*b. Let a(j) = 2*j. Calculate a(n(v)).
22*v
Let n(w) = -232*w + 3. Let u(g) = 2*g**2. What is n(u(d))?
-464*d**2 + 3
Let u(y) = 2*y. Let v(s) = -81*s. What is v(u(t))?
-162*t
Let j(d) = d. Let w(p) = -2*p - 4*p - 2*p + 3*p. What is j(w(t))?
-5*t
Let u(w) = 624*w. Let p(r) = 6*r. What is u(p(c))?
3744*c
Let g(s) = -2*s. Let r(u) = 8382*u. What is g(r(y))?
-16764*y
Let c(d) = 3*d**2 - 2*d**2 + 0 + 0. Let f(z) = z**2 + 3*z + 3. Let r(x) = x**2 + 2*x + 2. Let p(s) = 2*f(s) - 3*r(s). Calculate c(p(m)).
m**4
Let w(v) be the first derivative of -v**2/2 - 7. Let r(f) = f - 5. Let s(k) = 4*k - 24. Let l(b) = 24*r(b) - 5*s(b). Calculate w(l(c)).
-4*c
Let f(k) be the second derivative of 7*k**4/6 + 6*k. Let s(j) = 2*j. Determine s(f(b)).
28*b**2
Let j(g) = g**2. Let y(r) be the first derivative of -5*r**4/24 + 3*r**2/2 + 2. Let k(m) be the second derivative of y(m). Determine j(k(o)).
25*o**2
Let v(u) be the first derivative of -u**2/2 - 1. Let t(b) = 8*b - 5*b + 0*b. Determine t(v(a)).
-3*a
Let o(w) = w**2 - 3*w**2 + 3*w**2. Let x be (-12)/10*(-5)/2. Let k(b) = 4*b - 2*b - x*b. Calculate k(o(v)).
-v**2
Let h(t) = -5*t**2. Let l(z) = -3*z + 0*z + 0*z + z. Give h(l(p)).
-20*p**2
Let a(l) = 17*l + 7. Let x(t) = -5*t - 2. Let z(f) = -2*a(f) - 7*x(f). Let w(o) = 5*o - 3*o + 3*o. Calculate z(w(r)).
5*r
Let m(h) = -6*h. Let t(y) = 11*y. Determine m(t(c)).
-66*c
Let z(v) = -v**2 + 248*v. Let u(k) = -3*k. Determine z(u(c)).
-9*c**2 - 744*c
Let f(y) = -193*y. Let n(h) = 14*h**2. What is n(f(i))?
521486*i**2
Let t(d) = -7*d**2 - 27*d. Let i(o) = -o. Determine i(t(v)).
7*v**2 + 27*v
Let r(j) = -2*j. Let f = -1 - -6. Suppose 3*i + 4 = f*i. Let a(p
|
{
"pile_set_name": "DM Mathematics"
}
|
be ((-8)/(-20))/(1/5). Let f be r/(-2*3/(-18)). Suppose f*g - 28 = 2*g. Solve -g = 3*s + 2 for s.
-3
Suppose 0 = j - 3*j + 4. Solve 8 = j*p + 2 for p.
3
Suppose -4 = -2*h - 0*h. Let s be 1 + 2 + 2/2. Solve -h*x - 6 = s for x.
-5
Let n be (-32)/24*(-1 + 2/(-4)). Solve t + n = -0*t for t.
-2
Suppose 1 = -2*d + 2*n - 1, -5*d = 4*n - 31. Suppose 2*a + 4*u + 6 - 4 = 0, 0 = -3*a + u - d. Let q be (a/(-2))/(2/12). Solve -y + q = 7 for y.
-4
Let j(n) = -n**2 - 7*n - 1. Let q be 52/(-9) - (-14)/(-63). Let z be j(q). Solve -y = -2*y - z for y.
-5
Suppose 2*b = -3*b + 4*h + 37, -5*b + 34 = -3*h. Solve 0 = b*z + 8 + 2 for z.
-2
Suppose -3*u = 2*j - 12, 3*u = 4*j + 12 - 0. Suppose j = 2*d - d - 3. Solve 0 = 5*k - 2 - d for k.
1
Let i = -4 - -6. Let b(s) = -s**3 + 3*s**2 - 2. Let x be b(i). Solve -3 = -q + x*q for q.
-3
Suppose -4 = 5*v - 14. Solve 7*s = v*s for s.
0
Let u(v) = 2*v - 10. Let r be u(13). Solve 5*q - 6 + r = 0 for q.
-2
Let h(m) = 3*m**2 + 2*m + 3. Suppose 2*b = -3*b - 10. Let y be h(b). Suppose 2*g - 9 - y = 0. Solve w = -w + g for w.
5
Let k(n) = -n**3 - 6*n**2 - 5*n + 2. Let g be k(-5). Suppose -t - g*t = -9. Solve t*b = 6*b + 6 for b.
-2
Let u be ((-690)/(-9))/10 + (-2)/(-6). Solve l - u = -3*l for l.
2
Let v(l) = l**3 - 3*l**2 - 4*l + 5. Let f be v(4). Solve -20 + f = -3*m for m.
5
Suppose 0 = 3*p + 5*h - 7, 0 = p + 2*h + 2*h. Solve -4*x = -2*x + p for x.
-2
Let f(h) = 5*h + 7. Let p(k) = k. Let n(a) = -f(a) + 4*p(a). Suppose 3*l - 3 + 24 = -4*m, -4*l = -4*m - 56. Let s be n(m). Solve -s*b + 0*b = -2 for b.
1
Suppose 2*f + 4 - 10 = 0. Suppose f*j = -5*m, -4*j - m - 3*m = 0. Suppose j = 3*g + 2*g - 40. Solve 0 = 4*x - 0*x - g for x.
2
Suppose -2*c = -8 - 6. Let j = c - 7. Solve j*v - v = 1 for v.
-1
Let d(t) = 4*t - 2. Let i be d(2). Suppose 2*y = i*y - 4. Solve f + 1 = -y for f.
-2
Let k = 30 - 28. Solve -k*s = 2*s + 4 for s.
-1
Let p(q) = -2*q - 10. Suppose 0*s + 7 = -s. Let a be p(s). Suppose -2*m - i = -11, 0 = m + a*i - 8 - 1. Solve 0 = b + m - 1 for b.
-4
Let f(j) = -4*j**3 + j**2 + j + 1. Let k be f(-1). Solve 0 = k*w - 0 - 5 for w.
1
Let r be (-4 - 1) + 320/16. Solve -2*p - r = p for p.
-5
Let c = -28 + 40. Solve c = 4*n - n for n.
4
Let z be 1739/333 + (-1)/(18/4). Solve 2*f = f - z for f.
-5
Let u = 47 + -32. Solve 0*q = -5*q - u for q.
-3
Suppose 4*b = b + 27. Solve 4*w = b*w + 15 for w.
-3
Suppose -3*w = -w - 4. Solve s = w*s - 3 for s.
3
Let d(u) = 2*u + 4. Let l be d(-1). Solve l = a - 2 for a.
4
Let b be 46/4 - (-12)/16*-2. Solve 3*t = -2*t + b for t.
2
Suppose -4*h - h + 5*l = -85, -5*h - 4*l + 85 = 0. Suppose -t + h = 5*v, -6*t + 3*t = -5*v + 49. Let x be (7/14)/((-2)/t). Solve 20 = x*s - 6*s for s.
-5
Let p(a) = 5*a - 1. Let l be p(1). Suppose -l = -2*g + g. Let h be (3/(-2))/((-3)/g). Solve -h*u = u for u.
0
Let w = 43 + -43. Solve w = 3*y - 4*y - 2 for y.
-2
Let t(k) = 4*k**2 - 3*k. Let u be t(2). Suppose n - u = -4*n. Suppose 4*m - 16 = -2*x + 4, 5*x = -n*m + 26. Solve 4*h + 3 = m*h for h.
-3
Let r = 5 - 0. Let o(j) = j - j + j + 1. Let p be o(3). Solve -p*n + 1 = r for n.
-1
Let o = -57 - -57. Solve -3*c - c + 8 = o for c.
2
Suppose 0 = -0*r + 4*r - 12. Suppose -2*t + 14 + 1 = r*h, -3*t = 3*h - 21. Let k be 0*(3 + 0)/t. Solve -y + k*y = 5 for y.
-5
Let v = 19 + -11. Let r(z) = z**2 - 8*z + 1. Let y be r(v). Solve 2*j + y = 3*j for j.
1
Suppose 5 = -2*j + 5*t + 13, t - 20 = -5*j. Solve s + s = j for s.
2
Let j = -16 - -16. Solve -4 = -2*d - j*d for d.
2
Let i(d) = 22*d - 1. Let k be i(1). Let p = k + -19. Solve -2*y - 4 = p for y.
-3
Let y be 21/5 + 1/(-5). Let f be (-1)/((8/y)/(-8)). Solve -5*t = -7*t - f for t.
-2
Let u(v) = -v**3 - 5*v**2 - 8*v - 6. Let c be u(-3). Solve c*z - 2*z = 4 for z.
-2
Suppose 65 = 5*l + 15. Let j = l - 9. Suppose 0 = -5*v + 1 + 9. Solve 0 = -v*d + d + j for d.
1
Let y(u) = -u**3 - 5*u**2 - 3*u - 3. Let f be y(-5). Let b = f + -9. Solve 4*c = 5*c - b for c.
3
Let v(d) = d**3 - 9*d**2 + 7*d + 11. Let f be v(8). Let a = -7 + 11. Suppose 5*u = -a*r - 17, -u + f = -r - 2*u. Solve 10 = 4*k - r*k for k.
5
Let p(q) = q**2 - 15*q - 25. Let g be p(17). Solve -g + 24 = 5*y for y.
3
Let u be 3 - 5 - -4 - 10. Let c = u - -16. Solve -2*k - c = -2 for k.
-3
Suppose 0*m = d - 3*m - 15, 5*d = -m - 5. Solve d*i - 1 = -i for i.
1
Let r = 1 + 2. Suppose r*j = 7*j - 20. Let l = j - 4. Solve 0 = w - 0*w + l for w.
-1
Let l(r) = -r**2 - 8*r - 7. Let n be l(-5). Let j(t) be the first derivative of -t**3/3 - 13*t**2/2 - 15*t - 1. Let i be j(-11). Solve i = 5*g - n for g.
3
Suppose -2*c + 3 = 2*o + o, 2*c - 2*o - 18 = 0. Solve z + z - c = 0 for z.
3
Let a(l) = 4*l**2 - l + 1. Let q be a(2). Solve 0 = s + 4*s + q for s.
-3
Suppose -10 = 5*h, y - 5*h = -y + 2. Let m(x) be the first derivative of -x**4/4 - 4*x**3/3 - 3*x**2/2 - 6*x - 1. Let n be m(y). Solve 0 = -n*j + j + 5 for j.
1
Suppose 6*f - 4 = 50. Solve -f*t - 10 = -7*t for t.
-5
Let c = -10 + 10. Suppose 0*w - 4*w = -5*m + 45, c = -5*w - 25. Let a = 8 - m. Solve -a*l = l + 12 for l.
-3
Let m = 1 - -4. Solve m*v - 24 + 4 = 0 for v.
4
Let s(f) = f**3 - 4*f**2 - 5*f + 4. Let q be s(5). Let o be q/6*12/8. Solve o = -3*w - 2 for w.
-1
Let z(y) = y**3 - 5*y**2 + 5. Let i be z(5). Suppose 3*j + i - 32 = 0. Let v(t) = -t**2 + 9*t + 2. Let g be v(j). Solve 14 = 4*u - g for u.
4
Let w be ((-39)/(-26))/((-1)/12). Let v = w - -22. Solve v*d - 9 + 29 = 0 for d.
-5
Let v = 3 - 3. Solve -p + v*p = -1 for p.
1
Let x(i) = -i**3 + 7*i**2 + 7*i + 11. Suppose 0*r = 2*k + r - 13, r = k - 11. Let t be x(k). Solve -t*l + 3 = -0*l for l.
1
Let c(w) = -w**3 - 7*w**2 - 7*w - 6. Let n be c(-6). Solve n*u + 5*u = 15 for u.
3
Let z be (1 + -31)*6/(-9). Suppose -z = -7*y + 3*y. Let s = 7 - 4. Solve -y*j = -s*j - 10 for j.
5
Suppose -24 + 21 = -3*w. Solve 3*l = 4 - w for l.
1
Suppose 2*v + 3*v + 10 = 0. Let c = 1 - v. Suppose -3*i = 2*q - 13, -c*q - 21 = -4*i - 2*q. Solve a = i*a - 20 for a.
5
Suppose 2*d - t + 5 = 0, 4*d - 3*t = -5*t + 2. Let m be 0 - 1 - 1/d. Let r be 1 + 0 - (-9 - -1). Solve -u - 2*u + r = m for u.
3
Suppose -18 = 4*m - 7*m. Let w be 28/6 - 4/m. Solve 4*n + w = -0*n for n.
-1
Let r(d) = -d**3 - 24*d**2 + 24*d - 17. Let c be r(-25). Solve -12 = -4*s + c for s.
5
Let w be (2 + -4)/((1 - 2)/1). Solve 0*g = 2*g - w for g.
1
Let t be 4 + 12/2*8/(-24). Solve 6 - t = 2*j for j.
2
Suppose 10*m = 6*m. Solve 0 = -l - m*l for l.
0
Let p = -28 - -37. Solve 4*b = 5 - p for b.
-1
Suppose 0 = -2*g + 5*g - 4*m - 21, 0 = -5*g - m + 12. Solve 0*j - 9 = g*j for j.
-3
Let s = -10 + 15. Suppose 2 - 27 = -s*c. Solve 2*d = -1 + c for d.
2
Suppose 9*r - 20 = -4*w + 5*r, r - 2 = 0. Solve -x = 6 - w for x.
-3
Let t(o) = -o**3 - 3*o**2 - 4*o - 8. Let d be t(-3). Solve -d*y - 5 = 15 for y.
-5
Let p(t) be the third derivative of -t**6/120 + t**5/30 + t**4/12 - t**3/6 + 2*t**2. Let q be p(2). Suppose -3 + 15 = q*y. Solve z + y = 3*z for z.
2
Suppose -11 = -4*k + 17. Solve -6*r = -k*r - 5 for r.
-5
Let c be (-8)/32 - (-17)/4. Suppose -6 = -c*j + j. Solve -10 = -0*d + j*d for d.
-5
Let u be (-2)/10 + (-140)/50. Let f = 0 - u. Suppose 3*w + 11 = 4*d, -7 = 5*w - 2. Solve -f*p = d*p for p.
0
Let i(p) = 2*p**3 - 6*p + 4. Let q be i(-3). Let j = -12 - q. Solve -4 + j = 4*x for x.
4
Let b(q) = -q**2 + q + 3. Let u be b(0). Solve -u*s + 8*s + 15 = 0 for s.
-3
Let j(c) be the second derivative of c**5/20 - c**4/4 + c**3/3 + c**2 - c. Let x be j(2). Solve -3*k + 15 = x*k for k.
3
Suppose -y = -5*m - 11, 3*m + 4 = y - 5. Let h be (28/21)/(2/y). Let t be h/6*(-2 + 8). Solve -t = -0*j - 2*j for j.
2
Let x(p) = -p**3 + 6*p**2 - 5*p - 6. Let f be x(5). Let l be (9/f)/((-3)/(-12)). Let m = l - -21. Solve -4*u + m = -9*u for u.
-3
Let h be -4*-2*(-6)/8. Let a(k) = 3*k + 8. Let i be a(h). Let z = i - -14. Solve 2*m + 6 = -z for m.
-5
Suppose 0 = 2*m - 2 - 4. Solve m = -4*s - 9 for s.
-3
Let j = 34 - 25. Solve 1 = -4*f + j for f.
2
Suppose -2*h = 4*n + 12, 0 = h + n - 2*n. Let p be ((-12)/8)/(1/h). Let q = 3 - 1. Solve y - p = -q for y.
1
Let m be 7/((-1)/(-1)) + 1. Let g be 6/((-2)/m*-6). Solve 0*j + j = -g for j.
-4
Let g = 11 - 11. Suppose i - 6*i = g. Solve -3*d - d - 16 = i for d.
-4
Let q(u) = 5*u**2 - 1. Let r be q(1). Solve -8*j = -4*j + r for j.
-1
Suppose 5*x - 3*q = 25, 0 = -3*x + 4*q + 24 + 2. Solve x*
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -3/11 (b) w (c) -5
b
Let r be 2670/(-25) + (-1)/5. Let u = r + 537/5. Which is the closest to u? (a) -0.1 (b) -0.4 (c) 4
a
Let h = -4 + 4.4. Let n = 0.7 - h. Let t = 1 + -1. What is the closest to t in n, 5, 0.2?
0.2
Let c(q) = q**2 - 4*q + 2. Let p be c(3). Let v = 65 - 66. What is the nearest to v in 2/13, -0.4, p?
p
Let m be 10/9*3 + -3. What is the closest to m in -0.3, -5, 2/13?
2/13
Let k = -1363/772 - -3/193. Let b = -1900/7 - -272. What is the closest to 1 in k, b, -1?
b
Let i be 2*((-6)/4)/(-3). What is the closest to -1 in 5, i, -0.06?
-0.06
Let z = -82/2161 + -3640547/19449. Let q = 187 + z. Which is the closest to 0? (a) q (b) -1/4 (c) -0.1
c
Let q = 0.07 + -0.17. Let p(y) = 6*y**3 + y**2 - y + 1. Let v be p(1). Let h be (2 - v/4)*4. What is the nearest to h in 4, q, -0.5?
q
Let z = -0.9 - -1.2. What is the nearest to -2 in -1/9, z, 4/7?
-1/9
Let t be 2/(-2)*-1*0. Let l = -0.21 - -0.01. Let o = -0.1 - l. Which is the closest to o? (a) -2 (b) -5/6 (c) t
c
Let j be 48/36*6/(-14). Let y = -2.3 + -0.7. What is the nearest to -2 in y, 2/11, j?
y
Let v = 0.07 + -0.37. Let h = 0.1 + 0.4. Let r = v + h. Which is the closest to r? (a) 4/7 (b) 0.1 (c) 1/8
c
Let s = -1.93 - 0.07. Let u be 2/3*3/8. Let x = -5.9 + 6. Which is the closest to x? (a) u (b) s (c) 5
a
Let o(z) = z**2 - 2*z - 2. Let d be o(3). Which is the nearest to 0? (a) d (b) 0.4 (c) 7/4
b
Let q = 46 + -45. Which is the nearest to q? (a) 0.5 (b) 0.1 (c) -1
a
Let t be ((-1)/2)/((40/8)/5). What is the nearest to -1 in 7, t, -3?
t
Let j be 8/(-30) - (-4)/(-10). Let w(f) = -f**2 + 13*f - 12. Let u be w(6). Let i be (-4)/(-6) - (-70)/u. What is the nearest to -0.1 in i, j, -1?
j
Let y = 42 + -23. Let q = y + -15. Let v = 0 - -0.1. What is the nearest to v in 2, 1/9, q?
1/9
Let q = 4 + -9. What is the nearest to q in 0, -1/3, -1/2?
-1/2
Let b = 15 + -13. What is the closest to 0.1 in 5, 3, b?
b
Let m = -69 - -68.5. Which is the closest to 10? (a) m (b) 0.3 (c) 0.4
c
Let w(d) = -d**3 - 6*d**2 + 7*d - 4. Let i be w(-7). Let x be (1 - 4)/(-2 - -6). Let g be 1 - 3/5 - 45/175. Which is the nearest to -0.1? (a) i (b) x (c) g
c
Let g = -5 - -13. Let c = g - 8. Let l be ((-6)/8)/((-27)/6). What is the closest to c in 3, 0.1, l?
0.1
Let x = 0.2 - 0.2. Let k = -0.4 + x. Suppose 5*g + 9*d = 4*d - 25, 5*g = -d - 21. What is the closest to 1/3 in k, g, -1/3?
-1/3
Let x = -165 - -164.9. Let l = 0.2 + -1.2. What is the closest to 2/5 in x, l, 3?
x
Let h = -4.4 - -0.8. Let o = -4 - h. Let n = -38/3 + 13. Which is the nearest to 1? (a) o (b) 4 (c) n
c
Suppose 1 = -10*y - 19. Suppose -2*t + 2 = -0*t. Let c = -2 + t. What is the closest to -2 in y, -4/7, c?
y
Let h(y) = -y**2 + 5*y - 5. Let o be h(2). Which is the closest to -0.1? (a) 4 (b) o (c) -0.1
c
Let d be (4/(-7) + 1)/((-2)/7). What is the closest to -1 in -0.2, 5, d?
d
Let i be 3*10/(-75)*(0 + -5). Let r(q) = 4*q - 1. Let o be r(1). What is the nearest to i in 2, -0.4, o?
2
Let m = -2 - -2. Let y = -196 - -196. What is the nearest to m in 2/9, y, -5?
y
Suppose -4*d + 8*d - 8 = 0. What is the closest to d in 1, -0.5, 5?
1
Let h = 0.37 - 0.67. Let r = 0.01 + 0.39. Which is the nearest to 0? (a) r (b) -1 (c) h
c
Let f = 114 - 800/7. Let w = 3/4 + -7/12. Suppose 3 = 3*h + 18. What is the nearest to -1 in h, f, w?
f
Let h = 4.1 + -4. Let c be (-4 - 82/(-21))*3. What is the closest to h in c, -6, -1/3?
c
Let z = -61/2 + 29. Which is the nearest to 0? (a) 0.5 (b) -6/13 (c) z
b
Let d = -6.7 - -7.2. What is the closest to 2/9 in -2, 3/5, d?
d
Let g = 0.4 + -0.2. Suppose -53*o + 55*o = 2. Which is the closest to -1? (a) -5 (b) g (c) o
b
Let a = 16 - 47/3. Let i = 191 - 195. What is the closest to a in -2/9, 0.4, i?
0.4
Let u be (-4)/(-5)*4/(-8). What is the closest to u in 1, 2/5, -6?
2/5
Suppose -25 + 5 = 4*q. Let t = q - -2. What is the closest to -0.2 in 0.1, t, 0.3?
0.1
Let f = -62/583 - 4/53. Let o = -8 + 3. Let d = o - -4.8. Which is the nearest to -0.2? (a) 3 (b) f (c) d
c
Let u = 32.6 + -33. Which is the nearest to -2/5? (a) -2/7 (b) -1/8 (c) u
c
Let s = -19 - -15. Which is the nearest to -2/3? (a) 0 (b) s (c) 0.5
a
Let q = 216 + -212. What is the closest to 0.2 in q, 0.5, 12?
0.5
Suppose -6*n = -4*n - 6. Suppose -n*i = -i. Which is the closest to -0.3? (a) 0.2 (b) -0.5 (c) i
b
Let c be (1*(1 - -1))/(-2). Let n(y) = -y**3 - 11*y**2 - 9*y + 5. Let u be n(-10). What is the closest to -2/5 in c, 4, u?
c
Let v = -9 - -13. Let p be ((-3)/(-42))/(2/5424). Let s = p + -194. Which is the closest to -2/9? (a) -0.3 (b) v (c) s
c
Let d = -4.5 + 2.3. Let w = d + 2. Let f = 0.053 - 2.053. Which is the closest to f? (a) 0 (b) -5/3 (c) w
b
Let m = -9 + 6. Let r = -2.1 - -2. Let y = -0.9 + r. Which is the closest to y? (a) 5 (b) m (c) -1
c
Let p be (-2)/(-4)*8/6. Let l = -10.1 - -10. Let g be ((2 + 0)/8)/(-1). Which is the nearest to g? (a) l (b) p (c) -3/7
a
Let k = 0 - -0.3. Let f = -6 + 5. Let n = 0.9 + f. Which is the closest to -0.1? (a) k (b) n (c) -6/7
b
Let s = -9 - -14. What is the closest to -0.2 in s, 3, 0.5?
0.5
Let h be 14/12*(76/(-21) - -4). What is the nearest to -0.1 in 1, h, -5?
h
Let m be (-45)/84 - (-2)/7. Let p = 0.1 + -0.3. Which is the closest to m? (a) 2/15 (b) -3 (c) p
c
Let r be 8/(-54)*(-3)/2. What is the nearest to -0.2 in 3/2, r, 2/5?
r
Let r = 194 + -205.9. Let d = -12 - r. Which is the closest to d? (a) -2/9 (b) -1/2 (c) -2
a
Let s = 0.1 - 0. Let o(j) = j**3 - 2*j**2 - 3*j - 3. Suppose 3*i - 5*i + 6 = 0. Let l be o(i). What is the closest to s in -0.2, -0.5, l?
-0.2
Let h = 0.25 - 0.25. Which is the closest to 2/7? (a) 5 (b) 2/13 (c) h
b
Let s = -10 - -6. Let u = 5 - 5. What is the nearest to u in 5, s, 2?
2
Let u = -26/3 + 9. What is the closest to -0.3 in -4, u, -5?
u
Let w(p) = -p**3 - 4*p**2 + 6*p + 7. Let s be w(-5). Let i be (-4)/(-24)*(-3)/s. Suppose 0 = 2*r + 3*r + 5. Which is the closest to 0? (a) -4 (b) r (c) i
c
Let p = 0.4 + 0.1. Let h = -2.5 + p. Let k = -2 - h. Which is the closest to k? (a) -2/9 (b) -1/10 (c) -0.4
b
Let h = -10 - -11. Let m = h + 1. What is the closest to -2 in -0.4, m, 0.4?
-0.4
Let i = 12 - 12. What is the closest to i in 3/4, -5/4, 5?
3/4
Suppose 4*k = 5*t - 17, -2 + 18 = -4*k + 4*t. Suppose 2*x = -3*v + 14, 4*x - 9 = -v + 9. Which is the nearest to 0.2? (a) -2/7 (b) k (c) v
a
Let w = 1 - 1.4. Let d = w - 0.6. Suppose -2*u = -1 - 5. What is the closest to u in -0.5, d, 0.1?
0.1
Let j be 6/(6/(-4) + 0). Let p = j + 6. Which is the nearest to -1? (a) 1 (b) -0.5 (c) p
b
Let j = -0.11 + 0.11. Let g = -5 + 4. Let q = 1.6 + 0.4. Which is the nearest to g? (a) -1/2 (b) q (c) j
a
Let i = -0.7 - -0.3. Let f(p) = p**2 - 42*p - 87. Let y be f(44). What is the closest to y in 1, i, -1/3?
1
Let t = 0.17 + -1.17. What is the closest to 4 in 2/3, t, 1/2?
2/3
Let w be (2/6)/(2/24). Let j = 5 - 8. Let g = 0 - -1. Which is the nearest to 0.1? (a) j (b) g (c) w
b
Let u(y) = y**3 + y**2 - 6*y. Let a be u(5). Suppose -3*n + 6*n = -a. Let d = n + 83/2. What is the nearest to 2 in d, -0.5, -0.2?
d
Let l = 4.53 + 0.47. What is the closest to -0.8 in l, -3, 0?
0
Let v = 149 + -1041/7. What is the nearest to v in 4/3, 0, 1?
0
Let r(f) = f + 2. Let d be r(-3). Which is the closest to -0.06? (a) -0.5 (b) d (c) 3
a
Let y(h) = 4*h. Let l(v) = 5*v. Let o(x) = 3*l(x) - 4*y(x). Let d be o(-2). Let s be 3/d*8/18. Which is the nearest to -1/2? (a) -2/11 (b) -3 (c) s
a
Let q = 7.7 + -0.7. Which is the nearest to -2? (a) q (b) 0.4 (c) -0.2
c
Let r be ((-14)/5 + 2)*(-45)/198. What is the nearest to 0 in r, -2/19, -0.4?
-2/19
Let o be 10/45 - (-60)/(-189). What is the closest to 0 in 2/3, o, 1/3?
o
Let v be (1 + (-2)/8)/1. Suppose 40 = -3*p - 2*p. Let i be (-6)/p - 848/960. What is the closest to 0.1 in -4, i, v?
i
Let w = 0.18 - -1.82. Which is the closest to -1? (a) w (b) -3 (c) -3/2
c
Suppose 0 = -4*f - 4*t + 8 + 4, -3*t - 16 = -2*f. Which is the closest to -1? (a) 4/5 (b) 1 (c) f
a
Let n be (-10)/(-15) + (-162)/308. Let c = 2/77 + n. Let f(h) = -h**2 + 5*h - 3. Let g be f(5). What is the nearest to c in 0.5, g, -5?
0.5
Let v = -5 - -6. Let y(x) = 9 + 0*x - 2*x + 0. Let i be y(6). Which is the nearest to 0? (a) v
|
{
"pile_set_name": "DM Mathematics"
}
|
13764
Round -52.397203 to two decimal places.
-52.4
What is -506.215244 rounded to the nearest ten?
-510
What is 12549542.32 rounded to the nearest one hundred thousand?
12500000
Round -67351509.6 to the nearest one thousand.
-67352000
Round -6.2541744 to 1 dp.
-6.3
Round -19553740 to the nearest one hundred thousand.
-19600000
Round -0.00005089104 to 6 dps.
-0.000051
What is -0.8576180928 rounded to three dps?
-0.858
What is 29722.42581 rounded to the nearest 10?
29720
What is 3948225970 rounded to the nearest 100000?
3948200000
Round -0.00001065468805 to six decimal places.
-0.000011
What is 2361769.428 rounded to the nearest ten thousand?
2360000
Round -0.000380579048 to four decimal places.
-0.0004
What is 0.00002313166 rounded to six decimal places?
0.000023
Round -0.00067081519 to 5 decimal places.
-0.00067
Round 5066858330 to the nearest 1000000.
5067000000
What is 421422.666 rounded to the nearest ten?
421420
Round -0.0001279653131 to five dps.
-0.00013
Round -311.8506019 to one dp.
-311.9
What is 57.6747839 rounded to 2 decimal places?
57.67
What is -668003.3919 rounded to the nearest one hundred thousand?
-700000
Round -33.53057098 to 3 decimal places.
-33.531
Round 703.8565285 to one dp.
703.9
Round -1732.419316 to the nearest one hundred.
-1700
Round 7.4214455 to zero decimal places.
7
Round 19.57853497 to the nearest integer.
20
What is 0.00142205213 rounded to seven dps?
0.0014221
What is -0.001213499992 rounded to 6 decimal places?
-0.001213
What is -31.994678 rounded to three dps?
-31.995
What is 0.00000511416047 rounded to 6 decimal places?
0.000005
What is 6053988647 rounded to the nearest one million?
6054000000
What is -11651.3719 rounded to the nearest ten thousand?
-10000
What is 978.14119 rounded to 0 dps?
978
Round 2797.227895 to the nearest 100.
2800
What is -0.000332626833 rounded to 6 dps?
-0.000333
Round -38.357133 to the nearest 10.
-40
What is -0.000062082193 rounded to 7 dps?
-0.0000621
Round -0.00243705838 to 4 dps.
-0.0024
What is 0.02515779803 rounded to 6 dps?
0.025158
Round 24211.18 to the nearest 100.
24200
Round -1395125.605 to the nearest one thousand.
-1395000
What is -0.00402927568 rounded to 5 dps?
-0.00403
What is 2559334.7 rounded to the nearest 1000000?
3000000
What is 8714478.7 rounded to the nearest 1000?
8714000
What is 0.192421414 rounded to 2 decimal places?
0.19
Round -0.299095029 to two decimal places.
-0.3
Round -13859167.52 to the nearest one thousand.
-13859000
Round -0.08163622313 to 6 decimal places.
-0.081636
What is 14.789936 rounded to one dp?
14.8
What is 0.005301610623 rounded to 7 decimal places?
0.0053016
What is -103.6760164 rounded to 1 dp?
-103.7
What is 11369.472787 rounded to the nearest integer?
11369
Round 1.519405079 to one dp.
1.5
What is 0.0001896125869 rounded to five dps?
0.00019
Round 0.0804481335 to two dps.
0.08
Round -152986.64559 to zero dps.
-152987
Round -38180239.2 to the nearest 100000.
-38200000
Round -1.2441225391 to one dp.
-1.2
Round 87.624736 to two decimal places.
87.62
Round -533668.789 to the nearest ten thousand.
-530000
What is -72701.81615 rounded to zero decimal places?
-72702
What is -2961.46616 rounded to the nearest 1000?
-3000
Round -0.0002308432099 to 5 decimal places.
-0.00023
Round -16616.5115 to the nearest 10.
-16620
Round -13142.53259 to 0 decimal places.
-13143
What is 0.0006420526813 rounded to 5 dps?
0.00064
Round -879.59463 to the nearest one hundred.
-900
Round -0.005803592744 to five dps.
-0.0058
What is -750.438109 rounded to 1 decimal place?
-750.4
What is 307.913829 rounded to 2 decimal places?
307.91
What is 2451375.51 rounded to the nearest 10000?
2450000
Round -1701.276164 to 2 decimal places.
-1701.28
What is -2.103036 rounded to 1 dp?
-2.1
Round 666228.02 to the nearest 10000.
670000
What is -105677.347 rounded to the nearest 10?
-105680
Round 2152791.912 to the nearest 100000.
2200000
Round -348222690 to the nearest one million.
-348000000
What is 137510.0507 rounded to the nearest ten thousand?
140000
What is -0.000021302579 rounded to 6 decimal places?
-0.000021
What is 101135239850 rounded to the nearest one million?
101135000000
What is 36859.0651 rounded to the nearest 10?
36860
What is 0.05587808 rounded to five dps?
0.05588
Round -8549.67585 to the nearest 100.
-8500
What is -78.69903913 rounded to three dps?
-78.699
What is -0.10478631 rounded to five dps?
-0.10479
Round -0.0564022948 to five decimal places.
-0.0564
What is -0.065805116 rounded to 3 decimal places?
-0.066
What is 0.328917948 rounded to two dps?
0.33
What is -9939738.622 rounded to the nearest 100?
-9939700
What is -0.244756792 rounded to 2 decimal places?
-0.24
Round 89417305.5 to the nearest 100000.
89400000
Round -394875270 to the nearest one million.
-395000000
What is -2217.105929 rounded to one decimal place?
-2217.1
Round -0.12067532559 to five decimal places.
-0.12068
Round -186.58978 to the nearest one hundred.
-200
Round 7.544238013 to two decimal places.
7.54
What is -5904977.89 rounded to the nearest one hundred?
-5905000
What is -3.4483843 rounded to one decimal place?
-3.4
Round -0.00002696637551 to 6 dps.
-0.000027
Round 74.925501 to 2 decimal places.
74.93
What is -15032145.78 rounded to the nearest one hundred thousand?
-15000000
Round 0.0269698386 to 3 dps.
0.027
What is 0.00000399941571 rounded to six decimal places?
0.000004
What is 751085571 rounded to the nearest 100000?
751100000
Round -5323118.839 to the nearest one million.
-5000000
What is -3.29353071 rounded to four dps?
-3.2935
Round 85304904.06 to the nearest one million.
85000000
What is -3340.01602 rounded to 1 dp?
-3340
Round 3386623.177 to the nearest one hundred.
3386600
Round -0.3730723819 to 2 dps.
-0.37
What is -0.000695847657 rounded to six dps?
-0.000696
What is 0.36988873 rounded to 2 dps?
0.37
Round -1398.474158 to the nearest 100.
-1400
Round -0.006857194867 to 4 dps.
-0.0069
What is 21.0112912 rounded to 3 decimal places?
21.011
Round -0.69550046 to 1 decimal place.
-0.7
Round 64.2610197 to 1 dp.
64.3
Round 0.0000008013272075 to seven dps.
0.0000008
Round 0.003693392189 to 7 dps.
0.0036934
Round -2588693.631 to the nearest 100000.
-2600000
Round 0.00018517647458 to five decimal places.
0.00019
Round -488037.104 to the nearest one hundred.
-488000
Round -7316.99132 to the nearest 100.
-7300
Round -0.011319469 to 7 decimal places.
-0.0113195
Round -1260.061083 to 1 decimal place.
-1260.1
Round -6056.6129 to the nearest ten.
-6060
What is 0.0169988763 rounded to 3 dps?
0.017
Round 0.38991397 to two dps.
0.39
What is -2534.38545 rounded to the nearest 10?
-2530
What is -75375930.1 rounded to the nearest 10000?
-75380000
Round 128.671503 to the nearest ten.
130
What is -70463530 rounded to the nearest 10000?
-70460000
Round 5051630.847 to the nearest one hundred.
5051600
Round 9574843.31 to the nearest 10000.
9570000
Round -4.48185541 to 2 decimal places.
-4.48
What is -0.01056347819 rounded to five decimal places?
-0.01056
Round -21857327.3 to the nearest one thousand.
-21857000
Round 2792.4072 to 1 dp.
2792.4
What is 0.02673879487 rounded to three decimal places?
0.027
What is 110069872.8 rounded to the nearest one million?
110000000
What is -0.019663109 rounded to 2 decimal places?
-0.02
Round -68.400328 to the nearest integer.
-68
Round 905918608 to the nearest 1000000.
906000000
Round -4093.4258 to 0 decimal places.
-4093
What is 2139263.74 rounded to the nearest 100000?
2100000
What is 470680.608 rounded to the nearest 100?
470700
Round -113132055 to the nearest ten thousand.
-113130000
Round -4285.471 to the nearest one thousand.
-4000
Round -0.00000318592788 to seven decimal places.
-0.0000032
Round 0.92503764 to 1 decimal place.
0.9
What is -142608.17 rounded to the nearest 100?
-142600
What is 63472030.9 rounded to the nearest one million?
63000000
Round -3145.61903 to the nearest one thousand.
-3000
What is 0.0138561334 rounded to 3 decimal places?
0.014
What is -0.0000462155109 rounded to six decimal places?
-0.000046
Round -0.00273868377 to six dps.
-0.002739
What is 0.003507569402 rounded to 7 dps?
0.0035076
Round -62146.158 to the nearest ten thousand.
-60000
Round 0.0008329751936 to seven decimal places.
0.000833
Round -303048.2544 to the nea
|
{
"pile_set_name": "DM Mathematics"
}
|
Let n be (8/(-4) + 2)*1. Suppose n = -4*p - p + 250. Calculate the greatest common divisor of p and y.
10
Let w = 9 - -4. Let a(f) = -f + 2. Let m be a(-3). Suppose 23 + 172 = m*g. What is the highest common factor of w and g?
13
Let b be 1 + 1 - (2 - 0). Suppose -j + b*j = r - 457, 0 = j + 3. Suppose 4*l - r = 68. What is the greatest common divisor of 33 and l?
33
Let l = 33 + -33. Suppose -3*y + 2*o + 83 = -l*o, 5*y = -3*o + 132. Suppose 5*n - 13 = 3*d - 4*d, -4*n = d - 10. Calculate the highest common factor of n and y.
3
Let f be 7 + 1 - (20 + -17). Suppose 878 - 318 = f*z. What is the greatest common factor of z and 168?
56
Let r(d) = -3*d + 1. Let u(p) = p. Let t(x) = -4*r(x) - 14*u(x). Let k be t(-6). Suppose 4*b = -36*b + 40. Calculate the highest common factor of b and k.
1
Let h be (-4480)/(-25) + 16/20. Calculate the greatest common divisor of 24 and h.
12
Let a(r) = -3*r + 1. Let w be a(-7). Suppose 2*v = -2*s + w - 6, -5*v + 4*s + 4 = 0. Let d = -30 - -62. What is the highest common factor of d and v?
4
Let x = -791 + 2078. What is the highest common factor of 234 and x?
117
Let h = -5 + 20. Let g(m) = -m + 21. Let d be g(h). Let w = 36 - 21. What is the highest common factor of w and d?
3
Let n be (-1)/4 + (-741)/76. Let h = 78 + n. Let a = -12 + 29. Calculate the greatest common factor of h and a.
17
Suppose 4*h = 5*b - 0 - 2, h + 2 = 2*b. Let m be (-36)/(-44) - b/(-11). Calculate the highest common factor of 1 and m.
1
Let r be ((-564)/(-21) - -1) + (-32)/(-224). Calculate the greatest common factor of 52 and r.
4
Suppose 7*i + 3 = 6*i. Let j(c) = -7*c - 13. Let t be j(i). What is the greatest common divisor of t and 4?
4
Suppose 200 = 5*q + 5. Calculate the highest common divisor of q and 78.
39
Suppose 4*g = -0*g - 448. Let u be (-1)/(g/36 + 3). What is the highest common factor of u and 72?
9
Let w = 85 + -80. Let z(n) = 3*n + 27. Let p be z(w). Calculate the highest common divisor of p and 28.
14
Suppose 0 = 5*i + 1 + 54. Let f = i + 15. Calculate the greatest common divisor of 1 and f.
1
Suppose 5*v - 14 - 241 = 0. Suppose -102 = 1144*k - 1145*k. What is the highest common factor of v and k?
51
Let w be (-27664)/48*6/(-7). Calculate the highest common factor of 266 and w.
38
Let o be 10/6 - 7748/(-447). Suppose 2*b = 6, -3*a - b - 2 = -11. Suppose -a*s + 3*s = 95. What is the greatest common divisor of o and s?
19
Suppose 0 = 3462*u - 3470*u + 8. Let v(x) = x**3 - 5*x**2 - 4*x - 8. Let g be v(6). Let t be g/6*3/2. What is the greatest common divisor of u and t?
1
Let a = 17 - -23. Let x be (0 - -2)*300/a. Let z be (-70)/x*12/(-8). Calculate the greatest common factor of 49 and z.
7
Suppose 9*d + 16 = 70. Suppose d*s - 10*s + 728 = 0. Calculate the greatest common factor of s and 14.
14
Let n(b) = 6*b**2 - 32*b + 3. Let x be n(-10). Calculate the highest common factor of x and 13.
13
Let g(y) = 2*y**2 + 15*y - 7. Let u be g(-9). What is the highest common divisor of u and 180?
20
Let n(a) = a**3 + 14*a**2 + 18*a + 290. Let b be n(-14). Calculate the greatest common factor of 817 and b.
19
Let l = 934 + -609. What is the greatest common divisor of l and 25?
25
Suppose j = 7*j - 264. Let g be 7/35 + (-22)/10. Let w be ((-16)/(-6))/(g/(-3)). What is the greatest common factor of j and w?
4
Suppose h + 2*x + 34 = 5*h, 2*x = -2*h + 20. Calculate the highest common divisor of h and 81.
9
Suppose 0*r + 2*r + 6 = 0. Let v = 81 - 86. Let j be r/(-1) - 25/v. Calculate the greatest common divisor of j and 16.
8
Suppose -4*u + 2534 = 2390. What is the greatest common divisor of u and 4?
4
Let g be 7 - 4 - -5 - 6. Suppose 4*p = 105 - 41. Calculate the highest common divisor of p and g.
2
Suppose -2*t - 4*z = -160, 3*z = -5*t + 149 + 230. What is the highest common divisor of 4 and t?
2
Let c be 7/(-63) + (-410)/(-45). What is the highest common divisor of c and 18?
9
Suppose 0 = k - 3*r + 13, -3*k - 4*r - 79 = -3*r. Let l = 21 + k. Let z be 13 + (-5)/((-10)/l). Calculate the greatest common factor of 88 and z.
11
Let r be 15 - ((-5)/2)/((-22)/(-44)). Let x be (-2)/4 - 562/(-4). What is the highest common factor of r and x?
20
Let c = -13 + 17. Suppose 37 = 3*f + 2*u - u, -c*f - 2*u + 46 = 0. Let w = 57 + 55. What is the highest common factor of f and w?
14
Let x be ((-8)/7)/(22/(-77)). Suppose x = 2*s - 10. Calculate the highest common divisor of 56 and s.
7
Let b be (-10)/45 - 48/27. Let u be (-10)/b - 7/(-28)*-8. Calculate the highest common divisor of u and 48.
3
Let b(h) = 4*h**2 + 17*h + 23. Let n be b(-11). Calculate the greatest common divisor of n and 10.
10
Suppose 0 = r + 2*r - 18. Let f = -2 + 6. Let v be (f - 4) + (7 - 1). What is the highest common factor of v and r?
6
Let m(u) = -u**3 - 5*u**2 - 6*u - 23. Let w be m(-5). What is the highest common factor of 28 and w?
7
Let t = 1 - 1. Let j(b) = b**2 + 13. Let r be j(t). Suppose -5*w - 380 = -3*m, 5*m - 5*w = -198 + 838. What is the greatest common factor of m and r?
13
Let p be 4/((-12)/(-999)) + (-8)/2. Suppose p = 13*c + 95. Calculate the greatest common factor of 12 and c.
6
Let d be 266/30*3 - 27/45. Calculate the greatest common divisor of 1911 and d.
13
Let y(s) = -s + 3. Let g be y(0). Let b be ((-1245)/(-9) - 3) + g/(-9). Calculate the greatest common divisor of b and 15.
15
Let d(z) = -26*z - 86. Let k be d(-13). Calculate the greatest common divisor of k and 144.
36
Let u(v) = v**2 + 2*v - 9. Suppose 0 = 69*x - 74*x - 25. Let i be u(x). What is the highest common factor of i and 2?
2
Let n be 3/(-5) - 10/25. Let i be 1 + 22*(-2)/n. Let d be 13 + (-2 - -1) + (11 - 14). What is the greatest common divisor of d and i?
9
Suppose -94*d + 89*d - 295 = -3*v, 4*d = -v + 104. Calculate the greatest common divisor of 40 and v.
20
Let r = -1180 - -1244. What is the greatest common divisor of 2 and r?
2
Let x = -19 + 141. Let g = 3 + 3. Suppose 34 + x = g*u. What is the greatest common factor of u and 234?
26
Suppose 45 = -5*k - 0*k. Let z = k - -11. Suppose -112 = z*l - 4*l. What is the greatest common divisor of l and 8?
8
Suppose 5*z = -5*p + 348 - 83, 3*p + 49 = z. Let d = 88 - z. Calculate the highest common divisor of d and 4.
4
Let h be 1/1 + 16/4. Suppose h*k + 3 = 53. Suppose -5*n = -140 - k. Calculate the greatest common divisor of n and 12.
6
Suppose 4*z - 77 - 15 = 0. Suppose 5*r + z = 68. Suppose -3*v + r = g, -4*g - 4*v + v = -27. Calculate the greatest common factor of g and 3.
3
Let k = 201 - 198. What is the greatest common factor of 69 and k?
3
Let m(u) = -12*u**3 + u**2 + 2*u + 2. Let y be m(-2). Suppose -3*c = 4*c - y. Calculate the highest common divisor of 70 and c.
14
Let u = -262 - -382. What is the highest common factor of u and 96?
24
Let w be -5 - 2/((-8)/244). Suppose 0*m = -m + 5. Suppose -g + 2*g = a + 10, m*a = 3*g - 34. Calculate the greatest common divisor of w and g.
8
Let d = -849 + 1015. What is the highest common divisor of 1411 and d?
83
Let l be 2/24*-3 - (-930)/8. Calculate the greatest common factor of l and 20.
4
Suppose -44 = -3*w - 2*s, 115 = 2*w + 3*w - 5*s. Suppose -57 = -3*x - w. What is the greatest common factor of x and 13?
13
Suppose 0 = -2*x - 0*x + h - 115, 20 = -4*h. Let i be (-4)/(-6) - x/45. Calculate the highest common factor of i and 3.
1
Let q(w) = 85*w - 354. Let p be q(6). What is the greatest common factor of 520 and p?
52
Let n be 0/(-3) - -15 - 0. Suppose 4*v = v + n. What is the highest common factor of 2 and v?
1
Let j = -807 - -815. Suppose -5*z = 2*q + 2*q + 88, -2*q - 4 = 0. Let g = z - -24. What is the greatest common divisor of g and j?
8
Let d be (-15)/2*((-46)/6 - -1). Let b = -27 + d. What is the greatest common divisor of b and 115?
23
Let q be (-29)/((24/6)/(-4)). Let h(g) = -6*g + 10. Let m be h(-8). Calculate the greatest common factor of m and q.
29
Let r(a) be the first derivative of 2*a**3/3 - 15*a**2/2 - 4*a - 5. Let q be r(8). Calculate the highest common divisor of 1 and q.
1
Suppose 0 = 4*j + j. Suppose j = 2*r - 2*w - 2*w - 104, 240 = 5*r - 5*w. Calculate the greatest common divisor of 11 and r.
11
Let c be (210/(-8))/((-51)/136). Calculate the greatest common divisor of c and 154.
14
Let k(t) = 12*t - 1. Let n(j) = j**2 - 2*j - 2. Let q = 26 + -23. Let a be n(q). Let r be k(a). What
|
{
"pile_set_name": "DM Mathematics"
}
|
3*l**3 - c*l**4 + 0*l**2 + 0 = 0.
0, 1
Factor -6/5*g**2 - 9/5*g + 0 + 1/5*g**5 + 6/5*g**4 + 8/5*g**3.
g*(g - 1)*(g + 1)*(g + 3)**2/5
Let s be 4*15/10*3/9. Find m, given that 8/11*m + 8/11 - 2/11*m**4 - 8/11*m**3 - 6/11*m**s = 0.
-2, -1, 1
Let k = -126 - 27. Let c = -609/4 - k. Factor 3/4*m**4 + 0 + 1/4*m**2 + c*m**3 + 1/4*m**5 + 0*m.
m**2*(m + 1)**3/4
Factor -4*y**3 + 0*y**4 + 0 - 2*y + 2/3*y**5 + 16/3*y**2.
2*y*(y - 1)**3*(y + 3)/3
Let g = 31 - 27. Suppose -4*c + 2*m + 6 = -g, -3*c - 5*m + 1 = 0. Determine k, given that 2/9*k**3 - 4/9*k**c + 4/9 - 2/9*k = 0.
-1, 1, 2
Let k(m) = 4*m - 2. Let p be k(1). Suppose -p*a = -0*d + 2*d - 6, 0 = 2*d + 3*a - 9. Factor d + 1/2*i - 1/2*i**2.
-i*(i - 1)/2
Suppose -2/7*v + 2/7*v**2 + 0 = 0. What is v?
0, 1
Suppose 14 = 2*a - 2*w, -w = -15*a + 12*a + 17. Let -2/9 + 2/9*x + 4/9*x**2 + 2/9*x**a - 4/9*x**3 - 2/9*x**4 = 0. Calculate x.
-1, 1
Let m(g) be the third derivative of g**6/720 - g**5/120 + g**4/48 - g**3/36 + 7*g**2. Factor m(h).
(h - 1)**3/6
Let f(y) be the first derivative of 3*y**6/20 - 3*y**5/40 + 3*y + 3. Let n(j) be the first derivative of f(j). Factor n(w).
3*w**3*(3*w - 1)/2
Let t(j) = -2*j**3 - 2*j**2 - j + 1. Let w(b) = -b**3 - b**2 - b + 1 - 5*b**2 + 5*b**2. Let l(z) = -t(z) + w(z). Solve l(g) = 0.
-1, 0
Let m be 112/22 - (-11 - (-1098)/99). Solve 0*p + 4*p**3 + 8/7*p**4 - 8/7*p**2 + 0 - 4*p**m = 0.
-1, 0, 2/7, 1
Let t(k) = 6*k**2 + k + 2. Let z be t(2). Factor 32*f - 76*f**2 + z*f**3 + f**3 + 16 - f**3.
4*(f - 2)*(f - 1)*(7*f + 2)
Factor -36/11*h**3 + 0 - 2/11*h**5 - 16/11*h - 14/11*h**4 - 40/11*h**2.
-2*h*(h + 1)*(h + 2)**3/11
Let c(f) = -51*f**2 - 30*f - 2. Let q(y) = 52*y**2 + 31*y + 1. Let x(k) = -6*c(k) - 4*q(k). Solve x(i) = 0.
-2/7
Let m be ((-1)/(-2))/((-3)/(-18)). Let k = 2 + 0. Factor 4*s**3 + m*s**3 + 2*s**k + s - 6*s**3.
s*(s + 1)**2
Factor 3/5*f**3 - 9/5*f + 0*f**2 - 6/5.
3*(f - 2)*(f + 1)**2/5
Let t(d) be the third derivative of -d**9/120960 + d**7/10080 - d**5/20 + 3*d**2. Let a(k) be the third derivative of t(k). Factor a(z).
-z*(z - 1)*(z + 1)/2
Let v be (-3186)/(-1071) - (1 + 1). Let b = v + -2/17. Factor 6/7*x - 4/7*x**2 - 2/7*x**5 - 4/7*x**3 + b*x**4 - 2/7.
-2*(x - 1)**4*(x + 1)/7
Factor 13*d + 87*d + 158 - 5*d**2 - 403 - 255.
-5*(d - 10)**2
Let r = 93 - 90. Find s such that -4/3*s**4 + 4/3 - 2/3*s - 4*s**2 + 14/3*s**r = 0.
-1/2, 1, 2
Let l(q) be the third derivative of -q**5/90 - q**4/36 + 2*q**3/9 + 2*q**2. Factor l(m).
-2*(m - 1)*(m + 2)/3
Let h(z) = -z - 7. Let a be h(-4). Let s be a*(-8)/36*3. Determine u, given that -10/7*u**4 + 0*u**2 + 0*u - s*u**5 + 0 + 4/7*u**3 = 0.
-1, 0, 2/7
Let o(i) = -21*i**2 + 45*i - 24. Let z(u) = 5*u**2 - 11*u + 6. Let m(g) = 2*o(g) + 9*z(g). Solve m(h) = 0.
1, 2
Let b(x) be the second derivative of 0*x**3 - 1/10*x**5 + 0*x**2 + 0 + 0*x**4 + 1/15*x**6 + x. Factor b(t).
2*t**3*(t - 1)
Suppose -32 = -4*x - 4. Suppose 2*m + 10 = x*m. Factor 0*f + 0 - 2/5*f**m.
-2*f**2/5
Let a(y) = 9*y**5 + 35*y**4 + 12*y**3 - 11*y**2 + 11*y + 11. Let d(x) = -3*x**5 - 12*x**4 - 4*x**3 + 4*x**2 - 4*x - 4. Let t(k) = 4*a(k) + 11*d(k). Factor t(p).
p**3*(p + 2)*(3*p + 2)
Let k(c) be the third derivative of -7*c**6/30 - 4*c**5/5 + 2*c**4/3 - 10*c**2. Solve k(h) = 0.
-2, 0, 2/7
Factor 2/11*g**5 + 0*g**4 - 4/11*g**3 + 0 + 2/11*g + 0*g**2.
2*g*(g - 1)**2*(g + 1)**2/11
Let v(r) be the third derivative of r**6/300 + 11*r**5/150 + 2*r**4/3 + 16*r**3/5 - 9*r**2 + 1. Find k, given that v(k) = 0.
-4, -3
Let t(y) = y**3 - 10*y**2 + y - 10. Let f be t(10). Let r(o) be the first derivative of 0*o**3 - 6/5*o**5 + 3/4*o**4 + f*o**2 + 1/2*o**6 + 2 + 0*o. Factor r(g).
3*g**3*(g - 1)**2
Suppose 4*c = -x - 10 - 7, 2*x - 31 = 5*c. Let k(w) be the first derivative of -1/3*w**x - 2 + w + 0*w**2. Determine t, given that k(t) = 0.
-1, 1
Suppose 2*f + 140 = 6*f. Let o be (2/15)/(21/f). Let -4/9*r**2 - 2/9*r**5 - 2/9*r + 2/9 + 4/9*r**3 + o*r**4 = 0. Calculate r.
-1, 1
Let v = -20 - -24. Let p(k) be the second derivative of -13/6*k**5 - 14/9*k**v - 2*k + 0*k**2 - 10/9*k**6 + 0 - 4/9*k**3. What is x in p(x) = 0?
-1/2, -2/5, 0
Suppose 4*k = 16, k + 16 = 4*t + 3*k. Determine n so that -n - 33*n**4 - 27*n**3 + 4*n + 0*n**2 - 12*n**5 - t*n**2 - n**2 = 0.
-1, 0, 1/4
Let n be (-141)/(-6)*-1 + -3. Let b = 27 + n. Factor -b*h**3 + 0 - 1/2*h**4 + 1/2*h**2 + 1/2*h.
-h*(h - 1)*(h + 1)**2/2
Let t(i) = -2*i**5 + 4*i**4 + 3*i**3 + 7*i**2 - 2*i. Let g(c) = 3*c**5 - 4*c**4 - 2*c**3 - 8*c**2 + 3*c. Let l(w) = 3*g(w) + 4*t(w). Find v such that l(v) = 0.
-1, 0
Let t(x) be the second derivative of 7*x**5/20 - x**4/6 - 7*x**3/6 + x**2 + x. Find m, given that t(m) = 0.
-1, 2/7, 1
Let -s**2 - 8*s**3 - 11*s**4 + s**2 - 3*s**5 + 4*s**2 = 0. What is s?
-2, 0, 1/3
Let o(j) = 15*j**3 - 5*j**2 - 5*j - 5. Let a(b) = -7*b**3 + 2*b**2 + 2*b + 2. Let l(m) = 5*a(m) + 2*o(m). Factor l(q).
-5*q**3
What is r in 11*r**3 + 69*r**2 - 66*r**2 - 1 - r - 2*r + 6*r**4 = 0?
-1, -1/3, 1/2
Let x(h) be the third derivative of -1/4*h**5 + 0*h - 1/20*h**6 + 1/4*h**4 + 0*h**3 + 0 + 5*h**2 + 1/14*h**7. Determine s so that x(s) = 0.
-1, 0, 2/5, 1
Let f(i) = -i**3 - 10*i**2 - 6*i + 5. Let z(y) = -9*y**2 - 6*y + 6. Let r(b) = 6*f(b) - 5*z(b). Solve r(h) = 0.
-2, -1/2, 0
Let p = -6 - -12. Let w be ((-9)/p)/(3/(-4)). Suppose -2/7*m**w - 2/7*m + 0 = 0. Calculate m.
-1, 0
Let p(x) be the third derivative of -7*x**2 + 0 + 0*x**4 - 1/90*x**5 + 0*x**3 + 0*x. Find b, given that p(b) = 0.
0
Factor 0*o + 0 - 2/9*o**3 + 2/9*o**4 - 4/9*o**2.
2*o**2*(o - 2)*(o + 1)/9
Factor 3*m + 3*m**2 + 11*m + 7*m - 3*m.
3*m*(m + 6)
Suppose 9*t - 4*t - 10 = 0. Let v(n) be the first derivative of 4/35*n**5 + 3 - 1/21*n**6 - 4/21*n**3 + 0*n**4 + 1/7*n**t + 0*n. Factor v(p).
-2*p*(p - 1)**3*(p + 1)/7
Let b be (4/6)/(49/21). Determine i, given that -2/7 - 4/7*i - b*i**2 = 0.
-1
Let r(o) = -2*o**3 - 5*o**2 - 3*o + 3. Let q(f) = -3*f**3 - 5*f - 2*f + 2*f + 5 - 9*f**2. Let h(y) = 3*q(y) - 5*r(y). Factor h(d).
d**2*(d - 2)
Suppose -5*k + 19 = 9. Let w(b) be the third derivative of 1/9*b**3 - b**k + 1/20*b**5 + 0 + 1/72*b**6 + 0*b + 7/72*b**4 + 1/630*b**7. Factor w(z).
(z + 1)**3*(z + 2)/3
Suppose -3*w + 13 + 2 = 0. Let r(f) be the second derivative of 0*f**2 + 0*f**3 - f + 0*f**w + 0*f**6 + 0*f**4 + 0 - 1/147*f**7. Solve r(y) = 0 for y.
0
Let l(f) be the first derivative of 0*f + 6 + 3/2*f**2 + 7/2*f**3. Suppose l(m) = 0. Calculate m.
-2/7, 0
Let h be (-3)/(29 + 1)*-6. Factor 3/5*w**3 - 3/5 + h*w**2 - 3/5*w.
3*(w - 1)*(w + 1)**2/5
Suppose 0 = -5*a - 22 + 2. Let y be (-3)/18 - 2/a. Find f such that f - f**2 + y*f**3 - 1/3 = 0.
1
Let r(o) be the first derivative of -o**6/60 + o**4/8 - o**3/6 + 3*o - 3. Let u(a) be the first derivative of r(a). What is v in u(v) = 0?
-2, 0, 1
Let w = 512/5 - 100. Factor 8/5*i**2 - w*i**3 - 2/5*i**5 + 8/5*i**4 - 2/5*i + 0.
-2*i*(i - 1)**4/5
Find o, given that -12/5 - 12/5*o - 3/5*o**2 = 0.
-2
Let h be 18/162 + (-106)/(-18). Let w(a) be the first derivative of -2 + 0*a**5 - 1/9*a**h + 0*a**3 + 0*a + 1/3*a**4 - 1/3*a**2. Suppose w(b) = 0. What is b?
-1, 0, 1
Factor 4/3*a**2 - a**4 + 0 + 1/3*a**5 + 0*a + 0*a**3.
a**2*(a - 2)**2*(a + 1)/3
Let z = 157/405 + 1/81. Factor 3*n - 16/5*n**3 + 24/5*n**2 + z.
-(n - 2)*(4*n + 1)**2/5
Let o be -3 + 2/(6/15). Factor -2*x**3 + 0*x**2 - o*x**2 + 2*x**2 + 2*x**5.
2*x**3*(x - 1)*(x + 1)
Let v(g) = 75*g**4 + 18*g**3 - 95*g**2 - 22*g + 22. Let u(m) = -m**3 - m + 1. Let d(s) = -2*u(s) + v(s). What is o in d(o) = 0?
-1, -2/3, 2/5, 1
Let t(x) = -51*x**4 - 9*x**3 + 39*x**2. Let a(r) = 5*r**4 + r**3 - 4*r**2. Let q be (-2 - -1)/(4/84). Let k(g) = q*a(g) - 2*t(g). Factor k(n).
-3*n**2*(n - 1)*(n + 2)
Suppose -2*z - 3*z = 2*g + 6, -3*z - 4*g = 12. Suppose -5*w - 2 = 4*b, -b + 6 = -2*b - 4*w. Determine s, given that 0*s**b + z + 2/9*s**3 - 2/9*s = 0.
-1, 0, 1
Let y(h) = h**2 - 7*h + 6. Let q(b) = b**2 - b. Let c(i) = 4*q(i) - y(i). Factor c(j).
3*(j - 1)*(j + 2)
Factor -2/3 + 4*y**3 + y + 17/3*y**2.
(y + 1)*(3*y + 2)*(4*y - 1)/3
Let f(n) = -2*n. Let a(r) = -5*r**2 - 124*r - 845. Let v(j) = -a(j) - 3*f(j). Solve v(u) = 0.
-13
Suppose 24/5*y**3 - 12/5 + 9/5*y**2 - 36/5*y - 9/5*y**4 = 0. What is y?
-1, -1/3, 2
Let i(k) be the second derivative of 1/60*k**5 + 0 + 1/36*k**4 + 0*k**3 + 0*k**2 + 3*k. Factor i(w).
w**2*(w + 1)/3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
-(c - 1)**2/3
Let a(y) = -2*y**4 + 13*y**3 - 19*y**2 - 3*y + 16. Let i(p) = -4*p**4 + 20*p**3 - 28*p**2 - 4*p + 24. Let v(h) = -8*a(h) + 5*i(h). Factor v(n).
-4*(n - 1)**2*(n + 1)*(n + 2)
Suppose 85*k = -7*k. Factor 0*i + 1/7*i**3 + 3/7*i**2 + k.
i**2*(i + 3)/7
Let t = 368/7 + -1812/35. Factor 0 - 6/5*q**2 - 2/5*q**3 - t*q.
-2*q*(q + 1)*(q + 2)/5
Let t = 150 + 79. Let v = t + -686/3. Factor -f**4 - 2/3*f + 0 + v*f**2 + 4/3*f**3.
-f*(f - 1)**2*(3*f + 2)/3
Let c(j) = 84*j - 754. Let u be c(9). Find o such that -2/5*o**u + 0*o + 2/5 = 0.
-1, 1
Let o = -8/31 - -150/341. Factor 2/11*t**2 + 0 + o*t**4 + 4/11*t**3 + 0*t.
2*t**2*(t + 1)**2/11
Factor -9*x + 60*x**3 - 2*x**4 - 10*x**2 - 52*x**3 - 3*x + 8*x**2 + 0*x**4.
-2*x*(x - 3)*(x - 2)*(x + 1)
Let d(r) be the second derivative of -r**6/105 - 4*r**5/35 - 5*r**4/14 + 4*r**3/21 + 20*r**2/7 - 998*r. What is z in d(z) = 0?
-5, -2, 1
Let a be 1206 + -1212 + -1 + 73/5 + -2. Factor -6*b**2 + a*b - 6/5.
-2*(3*b - 1)*(5*b - 3)/5
Let v(d) = -7*d**2 + d + 6. Let p(y) = -y**2 - 13*y + 2. Let i be p(-13). Let l be i/(-4) + 9/6. Let t(a) = a**2 - 1. Let o(m) = l*v(m) + 6*t(m). Factor o(r).
-r*(r - 1)
Let i(t) be the second derivative of -5*t + 0 - 1/3*t**3 + 1/12*t**4 + 0*t**2. Factor i(y).
y*(y - 2)
Let d = -50/3 - -17. Solve -1/3*z**3 + 0 + 1/3*z - d*z**4 + 1/3*z**2 = 0 for z.
-1, 0, 1
Let x be (-3)/12 + (-5)/(-20). Let -7 + h**2 + 6*h**2 + 3 - 3*h**3 + x*h**2 = 0. What is h?
-2/3, 1, 2
Let r(f) = -f**5 - 7*f**4 + 7*f**3 + 13*f**2. Let b(x) = -12*x**5 - 76*x**4 + 76*x**3 + 140*x**2. Let w(h) = -3*b(h) + 32*r(h). Find y, given that w(y) = 0.
-1, 0, 1
Let o(a) = 2*a + 26. Let d be o(-12). Suppose -24 = -2*w - 0*g - 4*g, 1 = -d*w + g. Factor 5*x**2 - x**2 + 6*x**w - 6*x**3 + 0*x + 4*x.
-2*x*(x - 2)*(3*x + 1)
Let j be 1/2*(1/8 - (-1264)/128). Solve -1/6*v - 1/6*v**j - 4/3*v**2 + 2/3 + 2/3*v**4 + 1/3*v**3 = 0.
-1, 1, 4
Let u(a) = -a**2 - 16*a - 11. Let l be u(-15). Let c(g) be the first derivative of 0*g - 1/6*g**2 - 1/9*g**3 + 1/12*g**l + 1/15*g**5 - 4. Factor c(s).
s*(s - 1)*(s + 1)**2/3
Let b be 6 + (-7)/((-98)/(-48)). Let g(r) be the first derivative of -2/21*r**3 + 1 - 6/7*r**2 - b*r. Solve g(m) = 0 for m.
-3
Let z = -26315 - -26317. Factor 6/11*t**3 - 4/11 - 14/11*t - 4/11*t**z.
2*(t - 2)*(t + 1)*(3*t + 1)/11
Let l(j) = 2*j**2 - 4*j + 6. Suppose 5*q + a + 0*a = 2, 2*q = 5*a + 17. Let z(p) = p**2. Let y(r) = q*l(r) - 4*z(r). Factor y(w).
-2*(w - 1)*(w + 3)
Let t(o) be the second derivative of 7/90*o**4 + 3/50*o**5 + 0*o**2 + 0 + 2/45*o**3 + 1/315*o**7 - 9*o + 1/45*o**6. Determine d so that t(d) = 0.
-2, -1, 0
Find u, given that 27/5*u**3 - 48/5*u**2 - 93/5*u - 18/5 = 0.
-1, -2/9, 3
Let h(u) = u**3 + 23*u**2 - 2*u - 46. Let g be h(-23). Solve g + 2/5*y**2 + 0*y - 2/5*y**3 = 0 for y.
0, 1
Let z(r) be the first derivative of -r**6/2 - 9*r**5/5 + 3*r**4/2 + 12*r**3 + 12*r**2 - 48. Solve z(p) = 0.
-2, -1, 0, 2
Let q be (0*-2*3/6)/2. Let t be (6 + 2)/(-1*(-1 - 1)). Let 1/3*b**3 + 0 - 1/3*b**5 + q*b + 0*b**2 + 0*b**t = 0. What is b?
-1, 0, 1
Let g(f) = 2*f**2 - 4*f - 58. Let q(z) = z**2 - 2*z - 27. Let y(r) = -6*g(r) + 13*q(r). Find w such that y(w) = 0.
-1, 3
Let v(j) = j**2 + 2*j + 5. Let u be v(-4). Let a be (23/4 - 2) + 1/4. Factor -12*t**4 - t**2 - t + 4 + u*t**a - 3*t - 2*t**2 + 2*t**3.
(t - 1)**2*(t + 2)**2
Let n(y) be the third derivative of -y**5/30 + 11*y**4/6 + 25*y**3 - 40*y**2. Factor n(x).
-2*(x - 25)*(x + 3)
Let b = 7324 - 7322. Factor 0 - 2/5*q**b + 2/5*q.
-2*q*(q - 1)/5
Find w, given that 10 - 2/3*w**2 + 4/3*w = 0.
-3, 5
Let y = -140522 + 1266664/9. Let x = y - 218. Factor 2/9*q + 2/9*q**2 - x.
2*(q - 1)*(q + 2)/9
Let l be (-1)/(2*-1) - 29375/(-11250). Let l*f**2 + 8/3*f**5 - 26/9*f**4 - 8/3*f**3 + 0*f - 2/9 = 0. Calculate f.
-1, -1/4, 1/3, 1
What is d in 2*d**2 + 6*d**2 - 60 + 8*d - 2*d**2 - 11*d**2 + 9*d**2 = 0?
-5, 3
Let d be 3 + (-7)/5 - 4/(-10). Factor 4*z**2 - z**4 + z**d - 2*z**2 - 2*z**2.
-z**2*(z - 1)*(z + 1)
Solve 6*b**2 + 2220*b**5 - 737*b**5 - 745*b**5 - 6*b**4 - 9*b - 741*b**5 + 12*b**3 = 0 for b.
-3, -1, 0, 1
Let z(t) = -8*t**5 - 6*t**4 - 25*t**3 - 5*t**2 - 11. Let p(h) = -3*h**5 - 2*h**4 - 9*h**3 - 2*h**2 - 4. Let n(l) = 11*p(l) - 4*z(l). Factor n(q).
-q**2*(q - 2)*(q - 1)*(q + 1)
Let f(m) be the first derivative of -m**4/18 - 2*m**3/27 + m**2/9 + 21*m - 14. Let l(v) be the first derivative of f(v). Let l(s) = 0. Calculate s.
-1, 1/3
Suppose 5*n + 5 = -5, -2*g - n + 8 = 0. Suppose -k + 15 = 4*x, -2*x + 0*x = 2*k - 12. Factor 0*m**4 - 4*m**2 - 3*m**g + 3*m**k + 7*m**2 - 3*m**4.
-3*m**2*(m - 1)*(m + 1)**2
Factor 0*n**2 - 8/3*n**4 + 0*n + 0 - 2/3*n**3 + 3/2*n**5.
n**3*(n - 2)*(9*n + 2)/6
Factor -2/7*c**2 + 264/7 - 82/7*c.
-2*(c - 3)*(c + 44)/7
Let w(i) be the third derivative of -i**6/72 + i**5/12 - 7*i**3/3 + 3*i**2. Let x(y) be the first derivative of w(y). Factor x(p).
-5*p*(p - 2)
Let v be 1 + 0 - (3 + -5). Factor p + 5*p**3 - 3*p**3 - v*p**3 - 5*p**4 - p**2 + 6*p**4.
p*(p - 1)**2*(p + 1)
Let z be 4 + (-5)/((-150)/(-135)) + 18/4. Factor -2/9*u**z + 0 - 10/9*u**3 + 0*u - 8/9*u**2.
-2*u**2*(u + 1)*(u + 4)/9
Let y(d) be the first derivative of d**5/40 - 13*d**4/16 - 15*d**3/2 - 47*d**2/2 - 32*d + 788. Factor y(s).
(s - 32)*(s + 2)**3/8
Factor h**3 + 590*h**2 - 9*h + 14*h**3 - 596*h**2.
3*h*(h - 1)*(5*h + 3)
Let p = 389 + -386. Let z(y) be the second derivative of -1/16*y**4 - p*y + 0 + 1/4*y**3 - 3/8*y**2. Suppose z(w) = 0. Calculate w.
1
Suppose j + 27 = -4*m + 14, -2*j - 4*m = 10. Let v(b) be the second derivative of 4/27*b**j + 0 + 1/54*b**4 + 7*b + 4/9*b**2. Factor v(g).
2*(g + 2)**2/9
Let r(l) be the first derivative of -117*l**4/8 + 350*l**3/3 - 1041*l**2/4 - 9*l - 578. Suppose r(v) = 0. What is v?
-2/117, 3
Let p(y) be the first derivative of -y**4/12 - y**3/3 - 17*y + 22. Let z(i) be the first derivative of p(i). Let z(n) = 0. Calculate n.
-2, 0
Suppose 9 - 3 = 3*j. Factor -65*n**4 + 0 + 6*n**2 - 4 + 63*n**4 - 2*n**3 + j*n.
-2*(n - 1)**2*(n + 1)*(n + 2)
Let t(h) be the second derivative of -h**7/350 - h**6/100 + h**4/20 + h**3/10 - 11*h**2 + 3*h. Let k(u) be the first derivative of t(u). Solve k(q) = 0.
-1, 1
Suppose 0 = -1028*h + 1030*h - 8. Let v(q) be the second derivative of 10*q - 1/10*q**5 + 0*q**2 - 2/3*q**3 + 0 + 1/2*q**h. Factor v(f).
-2*f*(f - 2)*(f - 1)
Let w(c) = -203*c**2 - 233*c - 10. Let p(g) = -206*g**2 - 231*g - 10. Let k(l) = -4*p(l) + 3*w(l). Determine v so that k(v) = 0.
-1, -2/43
Let w(x) be the second derivative of x**4/18 + 226*x**3/9 + 12769*x**2/3 - 2*x + 11. Factor w(q).
2*(q + 113)**2/3
Let s(x) be the second derivative of x**6/270 - x**5/72 + x**4/72 + x**3 - 5*x. Let n(m) be the second derivative of s(m). Factor n(o).
(o - 1)*(4*o - 1)/3
What is n in 99*n**2 + 106*n**2 - 211*n**2 + 2*n**4 + 4*n = 0?
-2, 0, 1
Let s(p) be the first derivative of p**6/40 - 3*p**5/80 - 3*p**4/16 + 5*p**3/8 - 3*p**2/4 + 8*p + 6. Let w(g) be the first derivative of s(g). Factor w(v).
3*(v - 1)**3*(v + 2)/4
Let x(z) be the first derivative of -4/21*z**3 - 1/7*z**4 + 0*z + 13 + 0*z**2 - 1/35*z**5. Find t, given that x(t) = 0.
-2, 0
Find b, given that 44*b - 5/3*b**2 - 52/3 = 0.
2/5, 26
Let a(k) be the second derivative of -1/30*k**6 + 1/20*k**5 + 0 + 0*k**2 - 1/42*k**7 + 1/12*k**4 + 12*k + 0*k**3. Factor a(o).
-o**2*(o - 1)*(o + 1)**2
Let w(o) be the third derivative of o**5/30 - 3*o**4/2 + 17*o**3/3 + 176*o**2. Determine h so that w(h) = 0.
1, 17
Suppose -5400 + 5220*k + 357/2*k**2 + 3/2*k**3 = 0. What is k?
-60, 1
Let w(q) be the second derivative of -2/5*q**5 + 1/15*q**6 + 0 - 4*q + 1/3*q**4 - 3*q**2 + 4/3*q**3. Factor w(v).
2*(v - 3)*(v - 1)**2*(v + 1)
Suppose -8*p = -2*p + 2*p. Let y(f) be the second derivative of 6*f - 1/48*f**4 - 1/8*f**2 + 1/12*f**3 + p. Factor y(s).
-(s - 1)**2/4
Let h(u) be the third derivative of -u**5/15 - u**4/2 + 36*u**3 - 271*u**2. Determine p, given that h(p) = 0.
-9, 6
Let h = -442 - -446. Let o(a) be the first derivative of -3/5*a**5 - 7/24*a**6 + 0*a**2 + 1/6*a**3 - 3/16*a**h + 6 + 0*a. Let o(u) = 0. Calculate u.
-1, 0, 2/7
Find b, given that -202*b**3 + 98*b**3 + 103*b**3 + 3*b**2 = 0.
0, 3
Let f = 69 - 38. Let w = f - 29. Factor 12*m + 8*m**w + 3*m**5 - 12*m**3 + 0*m**3 + m**5 - 4*m**3 - 8.
4*(m - 1)**3*(m + 1)*(m + 2)
Let m(q) = -5*q*
|
{
"pile_set_name": "DM Mathematics"
}
|
sor of 22 and 108526.
22
Calculate the greatest common divisor of 2161968 and 144.
48
Calculate the highest common factor of 837 and 3441.
93
Calculate the highest common factor of 9 and 10629.
9
Calculate the highest common factor of 319068 and 180.
36
Calculate the highest common factor of 2644 and 96.
4
Calculate the highest common divisor of 322391 and 535.
107
What is the highest common factor of 972 and 48276?
324
What is the highest common divisor of 22 and 468270?
22
Calculate the greatest common divisor of 1499 and 13591433.
1499
Calculate the highest common divisor of 29 and 5191493.
29
Calculate the greatest common divisor of 1331190 and 56.
14
Calculate the greatest common factor of 54 and 268461.
27
What is the highest common factor of 4709 and 54569?
277
Calculate the greatest common factor of 39666 and 671.
11
What is the highest common divisor of 12530 and 28?
14
What is the highest common divisor of 513 and 533691?
171
Calculate the greatest common factor of 73 and 7988098.
73
What is the greatest common factor of 17808 and 21?
21
Calculate the highest common factor of 477 and 813921.
159
What is the highest common divisor of 5927 and 5?
1
Calculate the greatest common factor of 1 and 58931.
1
What is the greatest common factor of 1175 and 270?
5
Calculate the highest common divisor of 29887 and 143.
143
Calculate the highest common factor of 30059619 and 1671.
1671
Calculate the greatest common divisor of 323 and 11645.
17
What is the highest common factor of 27426 and 714?
42
Calculate the greatest common divisor of 221 and 4381.
13
Calculate the greatest common divisor of 58 and 697247.
29
Calculate the highest common divisor of 228 and 94476.
12
Calculate the highest common factor of 609498 and 8.
2
Calculate the greatest common divisor of 6352 and 1296.
16
What is the highest common divisor of 29 and 184469?
29
Calculate the greatest common divisor of 21421 and 36623.
691
What is the greatest common factor of 11966955 and 231?
231
Calculate the highest common factor of 14 and 17478.
2
What is the greatest common factor of 544 and 1864?
8
Calculate the highest common divisor of 120 and 62685.
15
Calculate the highest common divisor of 318780 and 115.
115
Calculate the greatest common factor of 8505 and 13440.
105
What is the highest common factor of 40 and 509660?
20
Calculate the highest common factor of 1224 and 13702.
34
Calculate the highest common divisor of 1651 and 52.
13
Calculate the greatest common factor of 42 and 6447.
21
What is the greatest common factor of 272937 and 41?
41
Calculate the greatest common divisor of 21615 and 165.
165
Calculate the highest common divisor of 53115 and 10.
5
What is the greatest common factor of 450 and 12065700?
150
Calculate the greatest common factor of 93966 and 78.
6
What is the greatest common divisor of 678 and 70738?
226
Calculate the highest common divisor of 254 and 2772664.
254
Calculate the highest common divisor of 251172 and 6.
6
Calculate the highest common divisor of 143 and 271326.
11
What is the greatest common divisor of 268140 and 545?
545
What is the greatest common divisor of 68964 and 84?
84
Calculate the greatest common divisor of 997490 and 130.
130
What is the highest common factor of 136918 and 34?
34
What is the highest common divisor of 155101 and 86?
43
What is the greatest common factor of 571703 and 11?
11
Calculate the highest common divisor of 17 and 1816212.
17
Calculate the greatest common divisor of 6018 and 4386.
102
Calculate the greatest common factor of 550 and 940.
10
What is the highest common factor of 12555 and 4605?
15
What is the highest common factor of 420 and 6510?
210
Calculate the greatest common divisor of 85342 and 142.
142
Calculate the greatest common factor of 399614 and 22.
2
Calculate the greatest common divisor of 148 and 8954.
74
Calculate the highest common factor of 265524 and 154.
14
What is the highest common factor of 36272 and 16?
16
Calculate the greatest common divisor of 23 and 2074393.
23
What is the greatest common factor of 126 and 688191?
21
What is the greatest common factor of 558 and 3150?
18
Calculate the greatest common factor of 28770 and 1470.
210
What is the greatest common divisor of 128050 and 104410?
1970
What is the highest common factor of 2145 and 89037?
39
Calculate the greatest common factor of 7843 and 1767.
31
What is the greatest common divisor of 120483 and 198?
99
What is the highest common divisor of 756 and 1836?
108
Calculate the greatest common divisor of 1779 and 153.
3
Calculate the highest common divisor of 209 and 714248.
19
What is the greatest common factor of 6 and 2866?
2
Calculate the highest common factor of 2610 and 3276.
18
Calculate the highest common factor of 145 and 507335.
5
Calculate the highest common factor of 1200 and 4848.
48
What is the greatest common factor of 76527 and 495?
99
Calculate the greatest common divisor of 29589 and 1617.
21
What is the greatest common divisor of 759996 and 248?
124
What is the greatest common divisor of 3960 and 97460?
220
Calculate the greatest common factor of 847 and 352957.
121
Calculate the highest common divisor of 384 and 3448128.
192
What is the greatest common divisor of 597 and 3430561?
199
What is the greatest common divisor of 21408 and 384?
96
What is the highest common divisor of 26398 and 938?
134
What is the highest common factor of 5 and 934445?
5
Calculate the highest common factor of 897925 and 1466.
733
Calculate the greatest common factor of 3444 and 6524.
28
Calculate the highest common factor of 283 and 271397.
283
Calculate the highest common divisor of 18 and 28586.
2
What is the greatest common factor of 210952 and 168?
56
What is the highest common factor of 40 and 14888?
8
Calculate the greatest common factor of 16 and 2042.
2
What is the highest common factor of 598 and 515890?
46
What is the highest common divisor of 180 and 819200?
20
Calculate the greatest common factor of 180791 and 39.
13
Calculate the highest common factor of 517 and 407.
11
What is the highest common factor of 1890 and 13905?
135
Calculate the greatest common factor of 319 and 100463.
11
What is the highest common divisor of 51666 and 22278?
474
Calculate the highest common factor of 2980355 and 595.
595
What is the highest common factor of 577 and 8547101?
577
What is the greatest common factor of 28000 and 11900?
700
Calculate the greatest common factor of 120903 and 18357.
633
What is the greatest common divisor of 23595 and 396?
33
What is the highest common factor of 3019336 and 544?
136
What is the highest common factor of 6 and 2173146?
6
Calculate the highest common factor of 680 and 528530.
170
Calculate the greatest common divisor of 272694 and 1504.
94
What is the highest common factor of 880 and 1364?
44
Calculate the highest common divisor of 1824465 and 10.
5
Calculate the greatest common factor of 726 and 31471.
11
What is the highest common divisor of 317472 and 96?
96
What is the greatest common factor of 84 and 4164?
12
Calculate the greatest common divisor of 4275 and 24985.
95
Calculate the greatest common divisor of 2303 and 59633.
49
Calculate the highest common divisor of 3298 and 3043.
17
What is the highest common divisor of 1849 and 43?
43
Calculate the greatest common factor of 3776694 and 6.
6
What is the highest common factor of 5888691 and 657?
657
What is the highest common factor of 1440 and 25?
5
What is the greatest common divisor of 957 and 69223?
319
What is the highest common divisor of 159999 and 399?
399
What is the greatest common factor of 259 and 575239?
259
Calculate the highest common divisor of 247 and 8113.
19
What is the greatest common divisor of 1566 and 77382?
54
What is the highest common factor of 82460 and 1216?
76
What is the greatest common divisor of 31875 and 51?
51
Calculate the highest common factor of 66432 and 64.
64
Calculate the greatest common factor of 63 and 5679.
9
Calculate the greatest common factor of 4522 and 54859.
119
Calculate the highest common factor of 180 and 6420.
60
What is the greatest common divisor of 21939 and 13287?
309
Calculate the greatest common divisor of 62546 and 33.
11
What is the highest common divisor of 108 and 343?
1
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
604 divided by 1.
-59644604
Divide 1 by 856692.
1/856692
Calculate 12029056 divided by -751816.
-16
Calculate -3720 divided by 1279.
-3720/1279
What is 596055 divided by -198685?
-3
-65664 divided by 32
-2052
Divide 12080610 by -2416122.
-5
39994443 divided by -4
-39994443/4
-18661944 divided by 190428
-98
Divide 98028448 by -16492.
-5944
19114448 divided by 3
19114448/3
Calculate -3 divided by 210856607.
-3/210856607
-23782 divided by -888
11891/444
Calculate 67545 divided by 32.
67545/32
Calculate -2253660582 divided by -6.
375610097
Calculate -2218478 divided by -4.
1109239/2
Calculate -3178 divided by -6545.
454/935
What is -68135796 divided by -459?
148444
Divide -732 by -103625.
732/103625
642320 divided by -4
-160580
What is 20579733 divided by -4?
-20579733/4
47679016 divided by -1496
-31871
Divide -58432395 by -1669497.
35
Divide 115549920 by -13835.
-8352
Divide 348688350 by 3.
116229450
Calculate 94409 divided by 9.
94409/9
32346363 divided by -1
-32346363
Calculate -27354870 divided by 2735487.
-10
-68 divided by 2244903
-68/2244903
What is 1603567148 divided by 62588?
25621
22686858 divided by -184446
-123
17618 divided by -146
-8809/73
Divide -2019 by -4796.
2019/4796
-639443 divided by -11
639443/11
Calculate -91099188 divided by -15183198.
6
Calculate 1017230 divided by 2.
508615
Divide -16058196 by 2.
-8029098
-31508 divided by 17
-31508/17
Calculate -578556 divided by -1948.
297
What is 780748 divided by -780748?
-1
Calculate -499146175 divided by -25.
19965847
39011065 divided by 8
39011065/8
Calculate 1867026840 divided by -6.
-311171140
-54854515 divided by -145
378307
What is 541193600 divided by 270596800?
2
Divide -21129316 by -52.
406333
-12813184 divided by 1
-12813184
-19752570 divided by -37269
530
836215000 divided by 365000
2291
Divide -109377427 by 109377427.
-1
Divide -20792156 by -1463.
14212
Divide 11811977 by 1121.
10537
Divide -7208380 by -439.
16420
Calculate -177 divided by 17315.
-177/17315
7106323 divided by -7
-1015189
Divide -49499778 by -23371.
2118
What is -124937308 divided by -4?
31234327
838 divided by 1354
419/677
What is -17933580 divided by 1992620?
-9
17988 divided by -20538
-2998/3423
Calculate 4141878 divided by -16.
-2070939/8
What is 19203620 divided by -41747?
-460
20963298 divided by 3
6987766
What is -3600 divided by 359?
-3600/359
Calculate 474831367 divided by 4.
474831367/4
What is 2762174 divided by -1?
-2762174
What is -4281434 divided by -178?
24053
What is 36014342 divided by -2572453?
-14
Divide -1400745125 by -280149025.
5
What is 233594875 divided by 371375?
629
Calculate 780885660 divided by -4.
-195221415
35 divided by 5103948
35/5103948
Calculate -522328 divided by 33.
-522328/33
Calculate 51818888 divided by -206.
-251548
What is -862865672 divided by 204616?
-4217
What is 14326 divided by -2004?
-7163/1002
1115520 divided by -11620
-96
-13991224 divided by 59
-13991224/59
What is -195528059 divided by -4?
195528059/4
219868310 divided by 5
43973662
Divide 300 by 448709.
300/448709
-128075 divided by 36
-128075/36
Calculate -8112 divided by -1848.
338/77
Divide 24636933 by 84663.
291
-3154822 divided by -286802
11
12238908 divided by 1112628
11
Divide 25389840 by 71120.
357
2493000 divided by -150
-16620
2 divided by -9070599
-2/9070599
Calculate 1514541 divided by -504847.
-3
Divide 73324985 by 5.
14664997
What is -148180260 divided by -6?
24696710
Calculate 3205710 divided by -1602855.
-2
What is -16190 divided by -1814?
8095/907
What is -7030442 divided by 5?
-7030442/5
73545 divided by 658
73545/658
Calculate -348220326 divided by 58036721.
-6
Calculate 370254437 divided by 49.
7556213
Divide -175915196 by 6.
-87957598/3
Calculate -5777980 divided by 10.
-577798
1 divided by 2619407
1/2619407
What is -1293 divided by 298445?
-1293/298445
Calculate 1049897135 divided by -1393.
-753695
Calculate 383162352 divided by 24.
15965098
What is 30891 divided by -46?
-30891/46
Calculate -78 divided by -24764.
39/12382
Divide -10629192 by 1771532.
-6
Divide 13909713 by -4636571.
-3
What is 2115945 divided by 2?
2115945/2
Calculate -487716467 divided by 3571.
-136577
What is 8742964 divided by -646?
-13534
20058574 divided by -2
-10029287
-58 divided by -38199
58/38199
What is -85840933 divided by 55417?
-1549
What is 41809 divided by -186?
-41809/186
-307 divided by -53592
307/53592
Divide 94883 by -2218.
-94883/2218
What is -1254 divided by 7923?
-22/139
What is -11 divided by -5622252?
11/5622252
Calculate 5131005 divided by 4.
5131005/4
65900175 divided by 4
65900175/4
-89 divided by 305477
-89/305477
Calculate 0 divided by -10880045.
0
Calculate -682 divided by -574173.
682/574173
What is -570 divided by -70386?
95/11731
47895 divided by -576
-15965/192
28427650 divided by 11170
2545
What is -11911250 divided by -3?
11911250/3
What is 11595060 divided by -4?
-2898765
What is -16524643 divided by 1?
-16524643
1395864 divided by -18
-77548
What is 4504199 divided by 2?
4504199/2
Divide 17346560 by -1239040.
-14
Calculate 8277 divided by -6522.
-2759/2174
-1552738564 divided by -2
776369282
14171055 divided by -248615
-57
177 divided by 472326
59/157442
-1334 divided by 67613
-1334/67613
What is 8 divided by 32137665?
8/32137665
Divide 37 by -60976.
-1/1648
Divide 2217231 by 3.
739077
-5769479 divided by -41
140719
Divide -159284 by 6.
-79642/3
Calculate -52598192 divided by 13149548.
-4
What is 37474 divided by 753?
37474/753
Divide -1472 by -10221.
1472/10221
23379201 divided by -1016487
-23
What is 38 divided by -625026?
-19/312513
Divide -20 by 47325575.
-4/9465115
What is 1269891492 divided by 4?
317472873
Calculate -16351416 divided by 151402.
-108
Divide 563482 by 563482.
1
-46393 divided by -1054
2729/62
What is 3322 divided by 3680?
1661/1840
What is -284005 divided by 71?
-284005/71
Divide -12855720 by 745.
-17256
Calculate -418683752 divided by 8312.
-50371
What is 24007051 divided by 1?
24007051
What is -9 divided by 5268716?
-9/5268716
What is 180064368 divided by 6?
30010728
What is -349250976 divided by -4?
87312744
Calculate 154701 divided by -22.
-154701/22
1339998 divided by 2
669999
Divide 0 by 1977221.
0
-2281587 divided by -3927
581
Calculate 12231439 divided by -1111949.
-11
-2427 divided by -283477
2427/283477
Calculate -15329083 divided by -2497.
6139
57060160 divided by -1678240
-34
Divide -179243374 by 3090403.
-58
Divide -466560600 by -7359.
63400
Calculate 30815787 divided by 6.
10271929/2
Divide 1368440 by -2.
-684220
-229997487 divided by 76665829
-3
Calculate 4 divided by -134680903.
-4/134680903
Divide 42705135 by -31.
-1377585
What is -9557560 divided by 477878?
-20
What is -5 divided by 4546907?
-5/4546907
5 divided by 8121248
5/8121248
Divide -6678738 by 2274.
-2937
3170824 divided by -1
-3170824
Divide 24939 by -318.
-8313/106
Calculate -56097954 divided by -4.
28048977/2
Calculate 30500626 divided by 1173101.
26
-2897704 divided by 9
-2897704/9
Calculate -3797326 divided by -26.
146051
Divide 256978 by 82.
128489/41
Calculate -2270232 divided by 31531.
-72
Divide 376488 by 28.
13446
Calculate -2624489 divided by -2819.
931
Calculate 923025 divided by -31.
-29775
Divide 437535 by -105.
-4167
What is -697936 divided by -1928?
362
Divide 1192193 by 19.
62747
39939748 divided by 3527
11324
-5107560 divided by 5107560
-1
Calculate 69 divided by -5709697.
-69/5709697
Divide 8 by 14592751.
8/14592751
-188838 divided by -1106
94419/553
What is -14235 divided by -450?
949/30
Calculate -967300 divided by -68.
14225
15529173 divided by -470581
-33
-23008412 divided by -96674
238
52676820 divided by 1881315
28
What is 3725925 divided by -21?
-177425
Calculate -78381426 divided by -6.
13063571
814936 divided by 4429
184
What is -9941679 divided by -11?
903789
What is 97467815 divided by 1025977?
95
Calculate 31530310 divided by -1659490.
-19
Divide -33287436 by 182.
-182898
Divide -371467008 by 6.
-61911168
What is -153391076 divided by -4?
38347769
Calculate -1089276 divided by -1.
1089276
-23620820 divided by 170
-138946
Calculate -380027 divided by -21.
380027/21
What is 2133475 divided by 426695?
5
Divide 2142017568 by 6.
357002928
Calculate -322473 divided by -14.
322473/14
Divide -10310888 by -5155444.
2
Divide -105244116 by -474.
222034
Divide
|
{
"pile_set_name": "DM Mathematics"
}
|
3483787.84
What is 0.5 times 846.1619?
423.08095
Work out 334.8 * 29304.
9810979.2
-6*-1665688
9994128
-43.45 times -9280
403216
What is -115.8 times 542.03?
-62767.074
Product of 0.0978895 and -42.
-4.111359
2.43*58777
142828.11
Multiply 0.1192 and -366.3.
-43.66296
Calculate -42*10025050.
-421052100
-0.2777 * 18223
-5060.5271
71 * -1.811824
-128.639504
-77638.3 times -51
3959553.3
What is -0.1 times -639856.12?
63985.612
Multiply 180317.8 and -53.4.
-9628970.52
0.2333 times -207.9
-48.50307
What is the product of 862.84 and -255?
-220024.2
Calculate 0.0015*-1.990339.
-0.0029855085
What is the product of -30.694 and 422.7?
-12974.3538
What is the product of 709781 and -4.81?
-3414046.61
Work out -179 * -83977.
15031883
Work out -1657752 * -0.1.
165775.2
1429 times -4248
-6070392
Product of -82428 and -1.99.
164031.72
19616.7*0.3838
7528.88946
Calculate 113315.9*0.4.
45326.36
Multiply 184 and 469.071.
86309.064
Calculate 0.164517*-0.2432.
-0.0400105344
Multiply 203788.2 and -2.5.
-509470.5
8 times 537248
4297984
-3.5 * 1199.19
-4197.165
Product of 1686834 and 32.
53978688
41648 times -71
-2957008
What is the product of -95 and -112547?
10691965
Work out 10496579 * 3.
31489737
0.6*-126.94672
-76.168032
-28.6711 * -23
659.4353
6.7281*1613
10852.4253
What is the product of 0.05 and -8012047?
-400602.35
Product of 3.6668 and 0.024546.
0.0900052728
-0.132607*-1399
185.517193
What is 0.4 times 4790927?
1916370.8
What is the product of -33047 and 168.89?
-5581307.83
34.021*-61.5
-2092.2915
Work out 1 * 9281.
9281
279402*-33
-9220266
What is the product of 13 and 1.52346?
19.80498
What is the product of -5 and 1.3625679?
-6.8128395
Multiply -203.4122 and 0.08.
-16.272976
Multiply 4 and -3043.52.
-12174.08
Work out 0 * -30735779.
0
10012962*-0.3
-3003888.6
Product of -25 and -3040630.
76015750
What is 0.6 times 11615946?
6969567.6
4311*-65753
-283461183
Calculate -275*-21803.45.
5995948.75
0.04969*-22906
-1138.19914
What is the product of -0.1 and -2.348541?
0.2348541
-0.318 times 0.53887
-0.17136066
Work out 0.02 * 83064.294.
1661.28588
342 * -39955.3
-13664712.6
What is the product of -546099090 and -0.5?
273049545
-250242 * -466
116612772
4.6 * -22.3198
-102.67108
What is the product of -0.3 and -4.4182145?
1.32546435
What is the product of 3 and -21151419?
-63454257
1.27 * -994794
-1263388.38
What is the product of -2 and 230.7218?
-461.4436
0.969542592 times -3
-2.908627776
Product of -139575 and -0.001.
139.575
What is the product of -19724 and -0.002978?
58.738072
Product of 57.84 and 0.1219.
7.050696
What is 1012072 times -0.3?
-303621.6
28686718 * -0.4
-11474687.2
Multiply 36 and -3408442.
-122703912
Work out -0.4 * -0.674053.
0.2696212
Work out -1013006 * -25.
25325150
Calculate 98.343*-0.05.
-4.91715
4871676 * -2
-9743352
-21565939*-0.5
10782969.5
What is the product of 3294 and -0.08174?
-269.25156
Work out 48770 * -53.2.
-2594564
Multiply 192508632 and 0.3.
57752589.6
Calculate 0.5415*2331.
1262.2365
Multiply 325686056 and -0.4.
-130274422.4
Work out 2.2 * -2080066.
-4576145.2
Calculate -1.6*460.354.
-736.5664
-8982271 * 2
-17964542
-1128.743 * 31
-34991.033
What is the product of 665293.38 and -2?
-1330586.76
232 times -3223765
-747913480
Work out -8368 * -152.2.
1273609.6
Work out -517474 * 13.
-6727162
What is the product of 1463089829 and 0.3?
438926948.7
-5997 * -23.447
140611.659
Work out 0.01441 * -22946.
-330.65186
Calculate 301677*-0.01.
-3016.77
Calculate -53292*771.7.
-41125436.4
-0.3404686 times 1.7
-0.57879662
Product of -2847 and 8587.
-24447189
Multiply 75.47 and 254.7.
19222.209
Product of -0.1 and 19590.1585.
-1959.01585
Product of -13 and -166912.
2169856
-111 times 0.88428
-98.15508
Product of 0.1 and 145.36.
14.536
What is 0.0095 times 0.129?
0.0012255
0.431 * -30662
-13215.322
Product of 0.3 and 2397.325.
719.1975
What is the product of 77206 and 0.163?
12584.578
Multiply -6 and -14074.591.
84447.546
Product of 2 and 14.138408.
28.276816
Product of 0.022 and 44561.
980.342
Work out 12612016 * -3.
-37836048
Product of 5610 and 9334.
52363740
0.4 times -1491136
-596454.4
Multiply 110 and 2070283.
227731130
10.9*12251
133535.9
What is 1 times -1063310?
-1063310
Multiply 45.365 and -5.
-226.825
Work out 190 * -1431475.
-271980250
What is the product of -50 and -2667969?
133398450
-9154565 times -38
347873470
0.5 * 7.3661926
3.6830963
24716*3165
78226140
Multiply -0.64 and -18753793.
12002427.52
-0.5 times 0.88631816
-0.44315908
-0.5161572*-6
3.0969432
Product of 915588 and -4.
-3662352
What is the product of 0.34586 and 9?
3.11274
0.1074 times -7082
-760.6068
What is the product of 25010 and 3196.7?
79949467
Product of 2293 and -36897.
-84604821
Multiply 5 and 319.12926.
1595.6463
Product of -0.1 and -4870.3073.
487.03073
-3*-3107381
9322143
Calculate -1061045*-16.
16976720
What is the product of 0.5361 and -2567.6?
-1376.49036
What is the product of -0.232 and -62.933?
14.600456
Multiply 4172 and 10361.
43226092
Multiply -3 and -5258029.
15774087
What is the product of 0.2 and 9416568?
1883313.6
Work out -4 * 9356809.
-37427236
-110*-9313
1024430
What is -0.1 times 67655.509?
-6765.5509
5*77771962
388859810
Product of -27196 and -0.061.
1658.956
-927 * 2519
-2335113
Calculate -97.1*-6766.7.
657046.57
-26.6 * 197657
-5257676.2
Work out 6279999 * 34.
213519966
Work out 1 * 1239440.
1239440
-230370 times -140
32251800
31807*-1103
-35083121
Product of -6.4007 and 20.
-128.014
-1.8443*2.83
-5.219369
What is the product of 1 and -42141984?
-42141984
What is 1411034 times 26?
36686884
Product of -0.3 and 41861691.
-12558507.3
2539737*-11
-27937107
Multiply -21 and -36.1819.
759.8199
What is the product of -1 and 0.016007129?
-0.016007129
Work out 0 * 0.08316995.
0
-622861 * 233
-145126613
-157732743 times 2
-315465486
Work out -127823.19 * 0.07.
-8947.6233
-1119.31 times -269
301094.39
Work out 457847 * -861.
-394206267
What is the product of 0.0155393179 and 0.2?
0.00310786358
Product of -9898117 and -0.4.
3959246.8
What is the product of 0.13 and 441597.5?
57407.675
What is the product of 0.0138227 and 7?
0.0967589
What is the product of 1225855 and -17?
-20839535
What is the product of -0.4859 and 0.4?
-0.19436
152.5 times -27828
-4243770
Calculate 3620042*-3.1.
-11222130.2
Work out -5 * 19202220.
-96011100
Multiply -7 and -2240970.
15686790
-123.367 * 174.9
-21576.8883
Multiply -1.1957372 and -28.
33.4806416
What is the product of 3.556 and -2473?
-8793.988
-4581234 times 30
-137437020
-259641 times 24.4
-6335240.4
-9559*-0.099
946.341
-313401963 * -0.3
94020588.9
Product of 2.3501473 and -0.1.
-0.23501473
Work out -0.3 * 9567611.4.
-2870283.42
What is 35 times 7.4815?
261.8525
What is the product of -29676 and 29.6?
-878409.6
Product of 156 and -649615.
-101339940
What is the product of 1.6 and -2734408?
-4375052.8
-0.06 * -501824
30109.44
What is the product of -0.101076 and 24.1?
-2.4359316
Work out 49451 * -8.05.
-398080.55
Work out -1011 * -168927.
170785197
What is the product of -1 and -1.527874?
1.527874
-481430.29 times 0.3
-144429.087
What is the product of 0.1 and -4132417?
-413241.7
Calculate 12790281*-12.
-153483372
Product of -38366 and 1082.
-41512012
What is -0.2 times 8139510?
-1627902
0.5 times -10238
-5119
0.2 * 2312486
462497.2
-0.5 * -36.5260506
18.2630253
What is the product of -985180 and -3?
2955540
14383175*0.7
10068222.5
What is -1 times -12987210?
12987210
What is the product of 48760546 and 0.3?
14628163.8
Multiply -23538.954 and 3.
-70616.862
-286635 * 17
-4872795
0.5*-1053168
-526584
-0.43734538*0.1
-0.043734538
What is the product of -0.026294 and 0.02175?
-0.0005718945
Work out 0.27369 * 0.0122.
0.003339018
809*88471
71573039
What is 10.047 times 37055?
372291.585
What is the product of 30605.3 and 20.16?
617002.848
0.114878*1177
135.211406
0.38 times -4.11786
-1.5647868
Multiply 0.031 and -1320138.
-40924.278
Product of 3.77 and 8665.
32667.05
0.1*-12781545
-1278154.5
Calculate -47789098*0.5.
-23894549
What is the product of -1.2 and 130598.6?
-156718.32
Multiply 11727841 and 0.2.
2345568.2
-1258*31975
-40224550
What is the product of -1907497 and 0.5?
-953748.5
Multiply -1 and -94.7881.
94.7881
Calculate -29877778*34.
-1015844452
-2 times -0.66582189
1.33164378
Calculate -0.6149*-0.115
|
{
"pile_set_name": "DM Mathematics"
}
|
l**2 + (1 - 2 + 0)*(l**2 - 4*l + 4*l) to z*l**2 + s + d*l and give z.
-2
Rearrange (-2*t + 16*t + 0*t)*(-1 + 0 + 3) - t + 2*t - 2*t + (1 + 1 + 0)*(-2*t + t + 2*t) + (-4 + 0 - 1)*(0 + 0 + 2*t) to x + a*t and give a.
19
Express 29*d**2 - 1726 + 1726 in the form b + p*d**2 + g*d and give b.
0
Rearrange (11*x**3 - 4 + 1 + 1)*(-1 - 2 + 5) to the form k + j*x**3 + s*x + a*x**2 and give j.
22
Rearrange -2*k - k**4 + 2*k + (-14*k**4 + 3*k**4 + 3*k**4)*(3 - 2 - 2) to the form b*k**3 + o*k**2 + i*k + v + g*k**4 and give v.
0
Express 20 + 19 + 23 - 1 - o in the form c + s*o and give s.
-1
Rearrange (u + 1 - 1)*(-1 + 1 + 2)*(1 + 0 - 9) to c*u + x and give c.
-16
Rearrange (-15 + 15 - 2*m**2)*(5*m - 3*m - m) + 3*m - 3*m + m**3 + 1 - 2*m**3 - 2*m**3 + 3*m**3 to the form a + z*m**3 + k*m**2 + u*m and give z.
-2
Express 2*v**3 - v**4 + 2*v**3 - 2*v**3 + 10*v - 7*v as y*v + r + k*v**4 + n*v**3 + i*v**2 and give n.
2
Rearrange -9 - 24*z + 5 + 4 to s*z + b and give s.
-24
Rearrange (-2*w + w + 3*w)*(-11 - 5 + 3) to i*w + p and give i.
-26
Rearrange 95 - 94 - 7*l - 27*l to the form m + b*l and give b.
-34
Rearrange 0*l**4 + 2*l + 3*l - 6*l + 2*l**4 - 1 to the form u*l**3 + w + v*l**2 + i*l + o*l**4 and give o.
2
Express -28*m - 14*m**3 + 28*m + (-5*m**3 + 2*m**3 + 0*m**3)*(3 - 2 - 2) as b*m**2 + d*m + r + u*m**3 and give u.
-11
Express (1 - 2 + 0)*(1 + 0 + 1)*(7 - 1 + 7)*(0*b + 4*b - 11 - 2*b) as x*b + m and give x.
-52
Express -y - 132*y**3 + 3*y**2 + 4*y**2 - y**2 + 134*y**3 in the form n*y**3 + b*y + v + h*y**2 and give b.
-1
Rearrange -20*r**2 + 51*r - 51*r - 54*r**2 to b + a*r + h*r**2 and give h.
-74
Rearrange -496*h + 0*h**4 + 499*h + h**3 - 5*h**4 to the form z*h**2 + p*h**3 + u*h**4 + n + a*h and give a.
3
Express (0*m - 3*m**4 + 0*m)*(-9 - 11 - 19) as g*m + h*m**4 + o + w*m**3 + v*m**2 and give w.
0
Rearrange 2*o + 5*o**4 - 17*o**2 + 19*o**2 - 1 - 3*o**4 to the form c*o**2 + n*o + x*o**3 + z*o**4 + f and give z.
2
Express 9*v**4 - 26*v**3 + 26*v**3 + (-2*v + 2*v - v**2)*(8*v**2 + 21 - 21) + 2*v**4 + v**4 - v**4 in the form n*v**4 + l*v + k + a*v**2 + s*v**3 and give a.
0
Express -5590 + 5590 - m in the form r + g*m and give g.
-1
Express (-37 + 85 - 40)*(q**2 - 3 + 3) as s*q**2 + d + m*q and give s.
8
Express -33*l + 14 - 6 - 8 in the form q*l + w and give q.
-33
Rearrange (-j + 0*j - 2*j)*(-3 + 4 - 3) - j + j + j + (2 + 3 + 1)*(-j - j + 0*j) to the form o*j + s and give o.
-5
Rearrange (0 + 2 - 4)*(-2*n - 11*n + 2*n)*(-2*n**2 - 8*n - 1 + 8*n) to z + f*n + r*n**2 + k*n**3 and give f.
-22
Express -2*t + 0*t + t + (6 - 3*t - 6)*(14 + 15 - 2) + 1 - 1 + t in the form v + c*t and give c.
-81
Rearrange -773 + 727 - 5*l**2 + 2*l**2 + (0*l + 2*l - 4*l)*(-4*l + l + l) to c*l**2 + y*l + j and give c.
1
Rearrange -7*z**2 + z - z - 68*z**2 to j*z + y*z**2 + a and give y.
-75
Express 3*j**2 - j**2 - 4*j**2 - 5*j**2 - 2*j**2 + 0*j**2 + (-4 + 1 + 2)*(7*j - 3*j**2 - 7*j) in the form m*j**2 + v + b*j and give m.
-6
Express 9*t**3 - 26*t**3 + 14*t**3 + 2*t - t**2 as w + k*t + z*t**2 + u*t**3 and give z.
-1
Express 9*y**3 - 7*y**3 + 5*y**3 + (2*y**2 + 1 - 1)*(-4 - 2*y + 4) - y**3 - 3*y**3 + 5*y**3 as x*y**2 + l + v*y + a*y**3 and give a.
4
Express (-2 + 6 - 2)*(-3*c + 3*c - 2*c**2) + (0 + 1 - 2)*(6*c**2 + 0*c**2 - 3*c**2) in the form w + t*c**2 + l*c and give t.
-7
Express (4 + 8*x - 4)*(3 + 6 - 2) in the form l + b*x and give b.
56
Express (-3*j**3 + 2*j**3 + 0*j**3)*(-4 - j + 4) in the form y*j + c*j**2 + s + a*j**4 + x*j**3 and give a.
1
Express -l**2 - 2 + 6*l**2 + 4 in the form y*l**2 + v + k*l and give y.
5
Express 2*w - 3*w**2 + 4*w**2 + w**3 - 2*w**3 + 0*w**3 - w**4 as v*w + b + u*w**4 + s*w**3 + a*w**2 and give a.
1
Express -32*b**2 + 5*b - 33*b**2 - 9*b**4 - 2*b + 66*b**2 in the form h*b**2 + m + r*b**3 + i*b + g*b**4 and give i.
3
Express -1 - 3*i + 3*i - 6*i - 6*i in the form g + u*i and give u.
-12
Rearrange 6*z**2 - 2*z**2 - z + 2*z**4 - z**2 to the form d + q*z + r*z**4 + m*z**2 + g*z**3 and give q.
-1
Express 2*n**2 - 2*n**2 - 6*n**2 + 2*n + 7*n**2 - 3 + 2*n**3 in the form a*n**2 + b*n + o*n**3 + t and give a.
1
Express 44*j**2 + 7 - 3*j**3 - 45*j**2 + 2*j**4 - j**4 as w + c*j**2 + x*j**4 + t*j**3 + n*j and give c.
-1
Express 61*n**3 + n**2 - n**2 + 4*n - 58*n**3 as x*n + l + v*n**2 + t*n**3 and give x.
4
Express (6*h + 0*h + 1 - 3)*(0 - 2 + 3) as l + o*h and give l.
-2
Express -17*a - 3*a + 2 + 38*a in the form p + w*a and give w.
18
Express (0 + 1 + 1)*(2 + 6 + 4*m - 5*m) as q*m + g and give q.
-2
Express 80*d**2 + 72*d**2 - 3*d - 140*d**2 as a*d + t*d**2 + g and give a.
-3
Rearrange 6 - 13*r**2 + 9*r**2 - 5 + 4 to the form x + h*r**2 + w*r and give h.
-4
Express d + d**2 - 4*d**2 - d**2 + 2*d**2 as q*d + j + u*d**2 and give u.
-2
Express -3 + 2 + 5 + 12*z**2 - 3 in the form x*z + v + w*z**2 and give w.
12
Rearrange (-5 + 2*q**2 + 5)*(2 - q - 2) - q**2 + q**2 - 2*q**3 - 5*q**3 - q**3 + q**3 + 2*q**3 - 4*q + 4*q to the form v*q + n*q**3 + d + y*q**2 and give n.
-7
Rearrange 6*b + 2*b + b + (4*b - 3 + 3)*(-1 + 0 + 0) to v + l*b and give l.
5
Express 2*y + 0*y**2 + 2 - y**2 - 2*y**2 + 2*y**2 + 5*y**4 as g*y + a*y**2 + b*y**4 + r*y**3 + j and give j.
2
Express -2*k**2 - 1 - 2*k**2 + 7*k**2 - k in the form p*k + s*k**2 + n and give p.
-1
Rearrange -532 - 77*c + 532 + (-1 - 1 + 1)*(2 - 2 - 4*c) to s*c + j and give s.
-73
Rearrange 3*v**2 + 0*v**2 - 4*v**2 + (-3*v + 4*v - 2*v)*(4*v - 2*v + 0*v) + 2*v**2 - 4*v**2 - v**2 + 0 - v**2 + 0 to the form g + c*v + p*v**2 and give p.
-7
Rearrange 91*k - 3*k**4 + 6*k**4 - 89*k - k**3 + 2*k**2 + 2*k**3 to the form h + y*k**4 + o*k + z*k**2 + f*k**3 and give z.
2
Rearrange (-1 - 1 + 1)*(8*x**2 + 2*x - 7*x**2 - 3*x**2) to the form o*x**2 + y + u*x and give u.
-2
Rearrange (-3*b + 5*b + 4*b)*(-1 + 4 - 2) to the form s*b + c and give s.
6
Express (-2*b + 2*b - b)*(1 - 2 + 3) - 3*b - 3 + 3 + 0*b - 4*b - b + (0*b + b - 3*b)*(-2 + 3 - 2) as h*b + d and give h.
-8
Express -77 - z**2 + 77 - z**3 - 2*z**4 in the form x*z + b*z**4 + h*z**2 + c + m*z**3 and give h.
-1
Express -5*i + 3*i + 5*i + 6*i in the form u + g*i and give g.
9
Express 17*v + 4*v + 5*v in the form u + n*v and give n.
26
Rearrange -22*v - 4*v**3 - 2*v**2 + 2 - 5 + 22*v to the form o + h*v**3 + b*v + k*v**2 and give k.
-2
Express (-4*a + 4*a + 3*a)*(-2*a**2 - 2*a**2 + 2*a**2) - 2*a**3 + 0*a**3 - 3*a**3 - a**3 - a**3 + 0*a**3 as u + g*a**2 + p*a + d*a**3 and give d.
-13
Rearrange -20*l + 0*l**4 + l**3 - 2*l**2 - 2 + 16*l + 2*l**4 to the form s*l**3 + u + z*l**2 + o*l + c*l**4 and give s.
1
Express -l**3 + 8*l + 1 - l + 0*l in the form y*l + w*l**2 + b*l**3 + h and give b.
-1
Express (-1 + 1663*a - 836*a - 812*a)*(-2*a**2 + 2 - 2) in the form p*a**3 + q*a + c + f*a**2 and give f.
2
Rearrange (-d - 2 + 2 - d + 0*d + 0*d + (-5*d + 4*d + 2*d)*(3 + 1 - 2) - 3*d + 6*d - 4*d - 2*d + 3 - 3)*(-148*d - 4984 + 4984) to p*d**2 + l + v*d and give p.
444
Express (-73 - 7 - 11)*((0 - t + 0)*(-1 - 3 + 6) + t - 4*t + 2*t) as r + c*t and give c.
273
Rearrange 11*k**4 - 8*k**4 - 4*k**4 - 19*k + k**3 + 2*k**4 to t*k**4 + h*k + y*k**3 + j + a*k**2 and give t.
1
Rearrange 4*d + 3 + 2*d - 3*d + 0 to c*d + a and give c.
3
Express -s**2 - 5*s**4 - s**3 - 2 - 2 + 4 + 2 as d*s + m*s**4 + i*s**3 + a*s**2 + w and give i.
-1
Rearrange 981*b**3 - 2*b**4 + 14*b - 2*b + b**2 - 979*b**3 to x*b**3 + r*b**2 + q*b**4 + g + t*b and give t.
12
Express (-6*p + 10*p + 6*p)*(-p**3 + 5*p**3 + p**3) as s + j*p**3 + c*p**4 + w*p + y*p**2 and give c.
50
Express (-2*q + q - 2*q)*(1 + 9 - 2) in the form g + s*q and give s.
-24
Express -m**2 + 0*m**2 + 2*m**2 - 3*m**2 as k + n*m + b*m**2 and give n.
0
Rearrange (4*k - 5*k + 3*k)*(3 + 2 - 3) + k + 0*k + 4*k + 0*k + 0*k - 5*k to the form y*k + t and give y.
4
Express (15*g + 20*g - 8*g)*(-1 + 3*g**2 + 1) in the form p*g + v*g**3 + j*g**2 + x and give v.
81
Express -23*c**2 + c**3 - 7*c**4 + 9*c**2 - 1 + 6*c**4 as i*c + d*c**4 + l*c**3 + t + y*c**2 and give d.
-1
Express 3*z**3 + 2*z**4 + 3*z**4 - 4*z**4 - z**3 - 7 in the form i + s*z**3 + f*z + k*z**4 + p*z**2 and give i.
-7
Rearrange (0 + 3 - 1)*(-23 - 1 - 7)*(-6*j**4 + 3*j**4 + 4*j**4) to x*j**2 + l*j + d*j**3 + u + h*j**4 and give h.
-62
Rearrange 21*b + b - 2*b to the form t*b + l and give t.
20
Express (-2
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from mmllkmlkm?
1/42
What is prob of sequence ctt when three letters picked without replacement from kttcttttocttotckkkt?
15/323
What is prob of sequence oaao when four letters picked without replacement from oaaaaaohhhaahaao?
9/910
Three letters picked without replacement from kkttkktktkkt. Give prob of sequence tkk.
7/44
Four letters picked without replacement from wmlllwlclwtll. Give prob of sequence lwmc.
7/5720
Three letters picked without replacement from {g: 1, f: 3, e: 1, p: 1, x: 5}. Give prob of sequence fef.
1/165
Calculate prob of sequence xyf when three letters picked without replacement from nnnnfniixynnnnyn.
1/1680
Calculate prob of sequence qqe when three letters picked without replacement from ecbbeeccqqcee.
5/858
What is prob of sequence hi when two letters picked without replacement from uuiiiiuuhiuuu?
5/156
Four letters picked without replacement from {p: 2, r: 2, e: 1}. What is prob of sequence rppr?
1/30
What is prob of sequence plwl when four letters picked without replacement from {w: 1, l: 2, p: 1}?
1/12
What is prob of sequence uuss when four letters picked without replacement from uwuuuswsosff?
1/165
What is prob of sequence ukva when four letters picked without replacement from {j: 2, h: 3, v: 1, a: 3, k: 2, u: 1}?
1/1980
Calculate prob of sequence rc when two letters picked without replacement from rrpecrcrxr.
1/9
Two letters picked without replacement from ooofofofqiofoofoo. Give prob of sequence fo.
25/136
Four letters picked without replacement from sgbngn. Give prob of sequence gbsg.
1/180
What is prob of sequence ddc when three letters picked without replacement from {c: 6, d: 13}?
52/323
What is prob of sequence niln when four letters picked without replacement from {i: 1, l: 2, n: 2}?
1/30
What is prob of sequence ir when two letters picked without replacement from {z: 1, v: 1, i: 2, r: 11, c: 1}?
11/120
Calculate prob of sequence jj when two letters picked without replacement from {n: 2, g: 4, m: 2, j: 2}.
1/45
What is prob of sequence zjc when three letters picked without replacement from fzbfbczncjbcnc?
1/273
What is prob of sequence bzkp when four letters picked without replacement from kbkqbpqz?
1/420
Three letters picked without replacement from {x: 6, y: 4, g: 3, u: 2}. Give prob of sequence yxy.
12/455
What is prob of sequence zp when two letters picked without replacement from {v: 2, p: 4, d: 2, z: 6, o: 1}?
4/35
Four letters picked without replacement from atssffafasftfmsfaqq. Give prob of sequence aftt.
1/1938
What is prob of sequence nnai when four letters picked without replacement from {i: 5, a: 1, d: 3, n: 2, t: 8}?
5/46512
Calculate prob of sequence piyw when four letters picked without replacement from {w: 1, i: 2, p: 1, y: 9}.
3/2860
What is prob of sequence ppjp when four letters picked without replacement from pujjjjpu?
0
What is prob of sequence to when two letters picked without replacement from rkrkocortwrotwoocr?
5/153
Two letters picked without replacement from {n: 4, l: 1, d: 2, a: 4, u: 3, f: 3}. Give prob of sequence dd.
1/136
What is prob of sequence mq when two letters picked without replacement from {g: 2, m: 2, a: 1, n: 1, q: 1, o: 1}?
1/28
What is prob of sequence fyyy when four letters picked without replacement from yyfyfyfyyyyfyyyyyy?
91/765
Two letters picked without replacement from mmmmmm. Give prob of sequence mm.
1
Calculate prob of sequence chc when three letters picked without replacement from {c: 2, h: 6}.
1/28
Two letters picked without replacement from fdnfbubfbndfbnbfff. What is prob of sequence nb?
5/102
What is prob of sequence hjj when three letters picked without replacement from gaagjagafajhggha?
1/840
Calculate prob of sequence ruu when three letters picked without replacement from uuuuuruuuuru.
3/22
Calculate prob of sequence oo when two letters picked without replacement from wxwo.
0
Four letters picked without replacement from kgezzeezzez. Give prob of sequence zekz.
1/99
Four letters picked without replacement from pukym. What is prob of sequence yupm?
1/120
Four letters picked without replacement from {x: 4, q: 2, y: 2, c: 2, s: 4, k: 6}. What is prob of sequence xxcy?
2/4845
Calculate prob of sequence ja when two letters picked without replacement from jaaajajaaaajjaajaaa.
13/57
What is prob of sequence tti when three letters picked without replacement from {m: 1, w: 1, i: 2, t: 11}?
22/273
Three letters picked without replacement from zcctdctcczc. What is prob of sequence ztt?
2/495
Two letters picked without replacement from vnlnvnnfrrvn. Give prob of sequence fn.
5/132
Four letters picked without replacement from pqxxqqipxpkzxq. Give prob of sequence xpkp.
1/1001
What is prob of sequence du when two letters picked without replacement from {u: 9, d: 3}?
9/44
Calculate prob of sequence ttuu when four letters picked without replacement from lxttuutslutttt.
3/286
What is prob of sequence gu when two letters picked without replacement from {g: 2, u: 1}?
1/3
What is prob of sequence hhp when three letters picked without replacement from wpphh?
1/15
What is prob of sequence opoo when four letters picked without replacement from {o: 3, p: 5, n: 5}?
1/572
Three letters picked without replacement from {f: 4, n: 1, r: 3}. What is prob of sequence rrn?
1/56
Calculate prob of sequence xj when two letters picked without replacement from ddojfdfxnnjo.
1/66
Calculate prob of sequence xx when two letters picked without replacement from xexxeexeeeeeeexe.
1/12
What is prob of sequence tt when two letters picked without replacement from {d: 3, i: 1, q: 4, t: 4, f: 1}?
1/13
Calculate prob of sequence sr when two letters picked without replacement from qrzrpzfppsrq.
1/44
Three letters picked without replacement from {s: 5, c: 2}. Give prob of sequence ssc.
4/21
Three letters picked without replacement from rqmlnnmaaaanaaaa. Give prob of sequence lqa.
1/420
Calculate prob of sequence ddxx when four letters picked without replacement from {d: 7, e: 2, x: 3}.
7/330
Four letters picked without replacement from {g: 3, w: 4}. What is prob of sequence wwwg?
3/35
Two letters picked without replacement from {w: 2, d: 2}. Give prob of sequence ww.
1/6
Four letters picked without replacement from {v: 1, s: 1, u: 2, e: 1, n: 3, j: 8}. What is prob of sequence jvuu?
1/2730
Three letters picked without replacement from urrur. What is prob of sequence rur?
1/5
Calculate prob of sequence yuj when three letters picked without replacement from etuutltjtyytyttt.
1/560
What is prob of sequence uuhu when four letters picked without replacement from {u: 5, h: 2}?
1/7
What is prob of sequence cn when two letters picked without replacement from {b: 6, n: 5, c: 1, x: 3}?
1/42
Three letters picked without replacement from {e: 5, o: 3, n: 4}. What is prob of sequence onn?
3/110
What is prob of sequence ojza when four letters picked without replacement from oaaczjcaaa?
1/1008
Four letters picked without replacement from fffffdffdffdfffdff. What is prob of sequence ffdd?
91/3060
Calculate prob of sequence la when two letters picked without replacement from bblbbllbblbalbbbbbab.
1/38
Calculate prob of sequence zjj when three letters picked without replacement from jjwzljjjwjz.
2/33
Four letters picked without replacement from ddsssddddssd. What is prob of sequence sdsd?
7/99
What is prob of sequence zezn when four letters picked without replacement from ttaantnnnetttztnza?
1/7344
Three letters picked without replacement from ddvdpmapdadd. What is prob of sequence amd?
1/110
Two letters picked without replacement from phpssddbhbspsdq. Give prob of sequence db.
1/35
Calculate prob of sequence xmxx when four letters picked without replacement from xcxxmaaaamxmxmax.
1/91
Four letters picked without replacement from rooohhrrooohr. What is prob of sequence oooh?
3/143
Calculate prob of sequence cuar when four letters picked without replacement from uaacrzraa.
1/378
What is prob of sequence wwj when three letters picked without replacement from tjtwptttpbttwjtwjz?
1/272
Calculate prob of sequence de when two letters picked without replacement from dadeaaaaaaadafae.
1/40
Calculate prob of sequence zr when two letters picked without replacement from zzzrzzrzzrzzrzzzzrzz.
15/76
Four
|
{
"pile_set_name": "DM Mathematics"
}
|
t i be n(-1). Is v(i) prime?
False
Suppose 18967 = -9*w + 13*w + g, 12 = 4*g. Is w composite?
True
Let c = 1769 + 716. Suppose -3*m + 374 = -c. Is m a composite number?
False
Let s be ((-6)/(-7) - 2)/(10/(-35)). Let c be (-2 - -3) + 1*12. Suppose -5*u = s*i - 5*i - c, 4*i = 3*u - 1. Is i a prime number?
True
Let a(w) = 1509*w + 172. Is a(5) composite?
False
Suppose 40*s = 34755 + 44165. Is s a composite number?
False
Suppose 9 = 5*v - 1. Let z(l) = 2*l**2 - l + 1. Let q be z(v). Is q/(14/292) - -3 a composite number?
False
Let w be (6/1)/(3/2). Suppose 4*p + p - 25 = 0, -3*x + w = -p. Suppose -2*b + 283 = x*c - 376, -5*c + 1103 = b. Is c prime?
False
Suppose -584 - 6330 = -2*h. Is h prime?
True
Let r(h) = 2*h - 6. Let k be r(5). Suppose -5*t + u + 56 = -u, -4 = -t + k*u. Suppose t = -j + 4*j. Is j a prime number?
False
Let g = -26 - -26. Suppose g*l + 4539 = 3*l. Is l composite?
True
Let y(m) = -125*m**3 + 6*m**2 + 4*m + 13. Is y(-6) composite?
True
Let t = 0 + -6. Let g be (282/(-4))/(t/36). Let r = -158 + g. Is r a composite number?
True
Let r(l) = -l**2 + 3*l + 20. Let t be r(9). Is (-17)/((-100)/t - 3) a composite number?
True
Suppose 4*u - 128 - 668 = 0. Is u prime?
True
Let m(k) = -k - 6. Let b be m(-13). Suppose q - 112 = -b*q. Is q a prime number?
False
Let k(t) = -34*t - 22 + 3*t**2 + 50*t - 2*t**2. Is k(15) composite?
False
Let o(g) = 12*g + 17. Let h be o(-14). Let i be (h/(-4))/(1/8). Suppose -i + 31 = -j. Is j a composite number?
False
Suppose 5*m + 58 = 2*p, -5*m - 35 = 5*p - 145. Let j be (p/20)/((-3)/(-10)). Suppose j*o - 3*o = 59. Is o composite?
False
Let n = 1675 - -274. Is n a composite number?
False
Let o = -4914 - -10787. Is o composite?
True
Let s(k) = k**2 - 9*k - 8. Let d be s(-1). Suppose 0 = 4*z - d*m - 15170, -5*m + 1 = -4. Is z composite?
False
Let a(r) = 12368*r - 153. Is a(11) composite?
True
Let v(r) = 7*r**2 + 25*r - 7. Let j(t) = t - 18. Let c be j(6). Is v(c) prime?
True
Suppose 0 = -3*i + 2*b - 1865 + 5516, 0 = 3*i + b - 3651. Is i a composite number?
False
Suppose 2*m - 6*m + 21 = -r, -28 = -5*m + 3*r. Suppose 0 = -5*g - 25, -m*i - 4*g = -2*g - 1080. Let l = -1 + i. Is l composite?
True
Let l be (-1 - 1) + -49 + 1. Let q = l - -164. Suppose -4*r - q = -350. Is r a prime number?
True
Suppose -5*z = -0*z + 630. Let f = z + 402. Let k = f + -163. Is k composite?
False
Let o be (-2)/(-10) + 28/35. Is (43/4 + 3)*(5 - o) a prime number?
False
Suppose 0 = -3*g + 2*g + 70. Let h be 4/14 + 260/g. Suppose 0 = -3*y - b + 2154, -5*y + 2*y - h*b = -2145. Is y a composite number?
False
Suppose -2*t - 22676 = -4*r, 0 = -2*t + t - 4. Is r a composite number?
True
Suppose 8 = 5*y + 3*b - 19, 4*b = -2*y + 22. Suppose -1996 = -5*m + y*q + 25426, 16454 = 3*m - q. Suppose p - m = -4*p. Is p a prime number?
True
Let h(j) = 24790*j**3 + 5*j**2 - j - 3. Is h(1) prime?
False
Let g(c) = -41*c**2 - 11*c + 25. Let s be g(4). Let d = s + 1792. Is d a composite number?
False
Suppose -m - m + 7356 = 4*j, -m + 3679 = j. Suppose a + 1423 - m = 0. Is a a prime number?
False
Suppose -4*t = -371023 + 116767. Suppose 0 = 22*h - 10*h - t. Is h a composite number?
False
Suppose -1583 - 1321 = -12*z. Let n = 589 - z. Is n prime?
True
Suppose -6*c = 3*c - 45. Suppose 3*d + c*o = 2*o + 3030, o + 1 = 0. Is d composite?
True
Let l = 4178 + -763. Let j(c) = 6*c**2 + 23*c - 22. Let z be j(1). Suppose -z*u = -2*u - l. Is u composite?
False
Let s = -15 + 6. Suppose 3*p - 4 = -190. Let t = s - p. Is t prime?
True
Suppose 15*b = 20*b + i - 41430, 33160 = 4*b + 4*i. Is b a prime number?
False
Suppose -2*s = -14*s + 122532. Is s a prime number?
True
Let w(n) = 544*n + 21. Is w(26) a composite number?
True
Is ((-433240)/60)/(4/(-6)) a composite number?
False
Suppose 275*d - 51955 = 270*d. Is d a prime number?
True
Let i be 7/2*(-36)/(-63). Suppose 0 = -2*l - i*f + 314, 5*l - 3*f = 662 + 123. Is l composite?
False
Suppose 2*b - 63130 = -5*l + 5*b, -5*b = 5*l - 63090. Is l prime?
False
Is 11/(-44) - 7114/(-8) composite?
True
Let v(f) = -15*f**2 - 4*f - 8. Let w(z) = 15*z**2 + 3*z + 7. Let b(q) = 2*v(q) + 3*w(q). Let n be b(-10). Suppose 13*a - 18*a + n = 0. Is a a composite number?
True
Suppose -5*x - 74998 = -3*n, -3*n + 0*n = -x - 75002. Is n prime?
False
Let h = -383 + 724. Is h composite?
True
Let c be (-248)/20 + (-2)/(-5). Is (-1471*3/c)/(6/24) a prime number?
True
Suppose 0 = y + 2*q - 7, -2*q = -0*y - 2*y + 8. Suppose y*a - 990 = 5*z, 3*z - 566 = -3*a - z. Is a a composite number?
True
Let x(a) = 90*a**3 - 17*a + 16. Is x(1) prime?
True
Let r(c) = -5*c**2 + 413*c - 29. Is r(40) composite?
True
Suppose 102*l + 793540 = 122*l. Is l composite?
True
Let n = -191 + 69. Let c = n + 271. Is c a composite number?
False
Let w(m) = 4*m**2 - 11*m + 6. Is w(25) a prime number?
False
Is (-29 - 60)/((-3)/447) composite?
True
Is (-1169288)/(-20)*8/(128/40) a composite number?
False
Let k = -497 + 1002. Suppose -4*f + 2161 = 5*p + 114, -f = -p - k. Suppose -2*l + 976 = 3*y, 3*y + 4*l - 466 = f. Is y prime?
False
Suppose -230 = -12*u + 7*u. Suppose -z = 16 - u. Suppose s - 133 = z. Is s composite?
False
Let r(y) = y**3 + 9*y**2 - 4. Suppose -q + 22 = -3*q - j, -5*q = -2*j + 37. Let d be r(q). Let a(u) = -u**3 - 5*u - 5. Is a(d) composite?
False
Let y(o) = o**3 - 3*o**2 - 4*o + 6. Let m be y(8). Let f = m + -520. Is (f/(-4) - -1)*2 prime?
False
Let v(n) = -2*n + 10. Let o be v(3). Let t(b) = 8*b**3 + b**2 + 3*b - 5. Is t(o) composite?
True
Let o = 4831 + -2666. Let h = o + -1532. Is h a composite number?
True
Suppose 6*u + 3 = 21. Suppose -5*j + 110 = -2*f, u*j - 5*f - 66 = -f. Is j a composite number?
True
Suppose 0*m = 5*m - 20. Let c be m*(-3 - 12/(-3)). Suppose 0 = c*i + 71 - 347. Is i a prime number?
False
Let n = 15 - 12. Suppose -n*c = c + 644. Let k = c + 256. Is k prime?
False
Is (-3890)/(-22) + (2 - (-80)/(-44)) prime?
False
Suppose 27*m - 1414 = 26*m. Let z = m - 729. Is z prime?
False
Let d = 4187 + -1726. Is d a prime number?
False
Suppose 6*v - 9*v + 4*j = -9719, 4*v - 3*j - 12961 = 0. Is v prime?
False
Suppose x = -x + 6. Suppose -7*w + 4*w = 2*h - 127, -126 = -x*w - 3*h. Is w composite?
False
Suppose 16*g = 320402 + 188606. Is g a composite number?
True
Let v(j) = 18*j**3 + j**2 - 4*j + 3. Suppose 0 = -z + 2*s - 9, 29 = -4*z - s - 16. Let m = -9 - z. Is v(m) prime?
False
Let v(m) = -m**3 + 3*m**2 - 5*m + 9. Let g be v(2). Is (1/g)/((-5320)/(-5316) + -1) prime?
True
Let w(n) = 634*n**2 + 6*n + 3. Let f be w(3). Suppose 7*v = f - 1646. Is v composite?
True
Let n be 16/(-1 - -5) - 666. Is n/(-8) + (-1)/(-4) a composite number?
False
Suppose 0 = -2*y - 5*i + 84, 4*y = -4*i + 107 + 85. Suppose -51*c = -y*c + 673. Is c a prime number?
True
Is (-5 - (-48)/9)*15819 composite?
False
Suppose -44*p + 53434 = -300282. Is p a prime number?
True
Suppose 3*s - 4*b - b - 91 = 0, 2*s - 82 = -2*b. Suppose 0 = 4*t - 3*z - s, -3*t = 3*z + z - 59. Is t prime?
True
Suppose -3*t - 13 = -l - 0*l, -10 = 2*l. Let a be (t - 9)/((-2)/4). Let m = 83 - a. Is m a composite number?
False
Let f(o) = -2*o + 6*o - 4*o - 14 - 4*o. Let t be f(-4). Is (-333)/3*(t + -3) a composite number?
True
Suppose -5*r = -3*g + 3932, 1 - 21 = -4*r. Is g prime?
True
Let n(w) = 190*w**3 + w. Let r = -18 + 19. Is n(r) a prime number?
True
Let z(l) = 355*l**2 - 7*l + 4. Is z(-5) composite?
True
Let x = -17 + 20. Suppose 6*d - 259 = d + 4*w, x*w = 2*d - 98. Suppose 5*t = -d + 160. Is t a composite number?
True
Suppose 4717 = 3*u - 2210. Is u a composite number?
False
Is -5*(0 + 3)/(-3) - -28002 a prime number?
False
Let l = 91 - 62. Suppose 0 = -2*v + 57 + l. Suppose -5*a + 5*g + 190 = -25, -a + 3*g = -v. Is a composite?
False
Let b = -2080 + 4179. Is b composite?
False
Suppose 0 = -5*b + 5, -5*p + 3*b + 44 - 12 = 0. Suppose 12*v = p*v + 6725. Is v prime?
False
Suppose 4*q = -q - 2015. Is -1 + (-2)/4*-2 - q composite?
True
Let k(h) = 2906*h - 141. Is k(2) prime?
False
Suppose 24*l - 1402 = 22*l. Is l prime?
True
Let s be ((-3)/(6/4))/(-2). Is (-381)/(s/(3/(-9))) a composite number?
False
Suppose 5*n + y - 8 = 0, -3*n + 0 - 4 = 5*y. Suppose 0 = -4*p + n*p + 4. Suppose -h = -p*h + 149. Is h a prime number?
True
Let a be (-3 - -6)*(-4 - -5). Suppose -4*t = -a*w - 852, -t + 3*w + 186 = -27. Is t composite?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate 2*i(k) - 11*w(k).
5*k**3 - k - 2
Suppose 12 = 7*y - 4*y. Let w be (-26)/(-6) + y/6. Let z(x) = -2*x**3 - 5. Let v(l) = -l**3 - 4. Give w*v(b) - 4*z(b).
3*b**3
Let g(i) = 8*i + 6. Let v(m) = 3*m + 1. What is -g(d) + 6*v(d)?
10*d
Let q be (-2)/(3/(15/(-2))). Suppose 5*n = -3*s + 15, 0 = -q*s - 17 - 8. Let k(x) = -x. Let z(r) = r. Calculate n*k(l) + 7*z(l).
l
Let h(y) = y**3 - y**2 + 3*y - 2. Let x(d) = d**3 - d**2 + 4*d - 2. Suppose -3*k - 105 + 21 = 0. Let r = k + 24. Give r*h(o) + 3*x(o).
-o**3 + o**2 + 2
Let d(b) = 9*b - 3. Let y(p) = 9*p - 2. Let h(v) = -7*d(v) + 6*y(v). Let z be (-20)/6*12/(-8). Let u(r) = 5 - 4*r - 3 + 2. What is z*u(l) - 2*h(l)?
-2*l + 2
Let v(d) = d**3 + d**2 + 3*d. Suppose -u - 2*q - 5 = 0, -5*q + 2*q = -3. Let b(z) = -3*z**3 - 3*z**2 - 10*z. Give u*v(j) - 2*b(j).
-j**3 - j**2 - j
Let i(y) = -6*y**2 + 3*y + 5. Let g(t) = 13*t**2 - 7*t - 11. Let x be 2/((-17 - -5)/24). What is x*g(d) - 9*i(d)?
2*d**2 + d - 1
Let v(j) be the third derivative of 5*j**4/24 + j**3/6 + j**2 + 24. Let t(k) = -11*k - 2. What is -2*t(y) - 5*v(y)?
-3*y - 1
Let f be 30/(-9) + ((-40)/(-3))/10. Let r(x) = -x. Let b(l) = l**3 + l. Give f*b(c) - 2*r(c).
-2*c**3
Let r(y) = -2*y**2 - 4*y + 6. Let f = -49 + 40. Let w(c) = -c**2 - 2*c + 3. Determine f*w(d) + 4*r(d).
d**2 + 2*d - 3
Let y(c) = -19*c + 6. Suppose -177*i = -138*i - 3705. Let f(r) = -304*r + 95. What is i*y(k) - 6*f(k)?
19*k
Let g(f) = -10159*f + 10174*f - 3 - 4 + 3. Let y(p) = -10*p + 3. Calculate 5*g(s) + 7*y(s).
5*s + 1
Let n(x) = 48*x**2 - x. Let i(o) = 48*o**2. Determine 3*i(f) - 2*n(f).
48*f**2 + 2*f
Let o(f) be the first derivative of 9*f**2 - f**2 - 5*f**2 + 22 + 2*f**2 + 16*f. Let c(j) = -3*j - 5. Determine 16*c(q) + 5*o(q).
2*q
Let o(c) = 5*c**2 - 3*c - 1. Suppose -2*k - 3*z = 4, -3*k - 5 = 2*z + 6. Let w(u) = 9*u**2 - 5*u - 2. Give k*o(j) + 3*w(j).
2*j**2 - 1
Let v(t) = -3*t + 5. Let i(l) = -9*l - 49. Let g be i(-6). Let p(z) = -4*z + 7. What is g*p(r) - 7*v(r)?
r
Let r(h) be the second derivative of 5*h**3/6 + 7*h**2/2 - 133*h. Let b(j) = -j - 1. What is -3*b(k) - r(k)?
-2*k - 4
Let t(v) be the first derivative of -1/2*v**2 - 7*v - 18. Let m(w) be the third derivative of w**4/24 + 2*w**3/3 + w**2. Give 7*m(y) + 4*t(y).
3*y
Let v(n) = -n - 1. Let j(b) = -2*b - 1. Let o(i) = j(i) - v(i). Suppose 0 = 4530*l - 4527*l - 6. Let z(u) = 3*u. Calculate l*z(s) + 9*o(s).
-3*s
Let b(w) = -19. Let s(g) = -g - 1. Calculate b(l) + s(l).
-l - 20
Let q(u) = -3*u**3 + 3*u**2 + 2*u - 1. Let h(j) = 5*j**3 - 7*j**2 - 5*j + 3. Give 2*h(l) + 5*q(l).
-5*l**3 + l**2 + 1
Let s(f) be the first derivative of -3*f**2/2 + 3*f + 38. Suppose 4*n - 13 = 7. Let r(v) = -4*v + 4. Calculate n*s(p) - 4*r(p).
p - 1
Let f(t) = 13*t + 11. Let n(h) = 6 + 142*h + 0 - 135*h. What is 6*f(w) - 11*n(w)?
w
Let g(m) = 69*m + 17. Let h(o) = -47*o - 11. What is -5*g(u) - 7*h(u)?
-16*u - 8
Suppose -10*p + 11*p - 7 = 2*b, 5 = 2*p - b. Let n(v) = v. Let z(k) = k - 1. Let t(o) = -o**2 - 4*o - 2. Let l be t(-2). What is l*n(j) + p*z(j)?
3*j - 1
Let m(i) = 3*i - 1. Let d(g) = 16*g - 23. Determine -d(t) + 5*m(t).
-t + 18
Let r(d) = 18*d**2 - 4*d - 7. Let b(w) = 12*w**2 - 2*w - 5. What is 8*b(q) - 5*r(q)?
6*q**2 + 4*q - 5
Let c(x) = x**2 - x - 3. Let b be c(3). Let z(i) = 7*i - 5. Let n(m) = -m - 3*m + 193 - 125 - 65. What is b*z(r) + 5*n(r)?
r
Let q(y) = y**2 - y + 2. Let c = 42 - 51. Let k = c - -7. Let b(m) = 2*m**2 - 2*m + 4. What is k*b(h) + 5*q(h)?
h**2 - h + 2
Let k(d) = -4*d - 9. Let g(p) = 2*p - 75. Let r(l) = -2*l + 95. Let o(x) = 5*g(x) + 4*r(x). Let i be 2/(-4) + 10/(-4). Give i*k(a) - 5*o(a).
2*a + 2
Let a(q) = 2*q**3 - q**2 + 3*q - 4. Let o(u) be the second derivative of 3*u**5/20 - u**4/12 + 2*u**3/3 - 5*u**2/2 - 255*u. Determine 4*a(y) - 3*o(y).
-y**3 - y**2 - 1
Let f(j) = 35*j + 2. Let p(y) = 2*y - 1. What is f(n) + 5*p(n)?
45*n - 3
Let y(j) = 7*j - 8. Let b(w) = 6*w - 7. Let f(t) = 5*b(t) - 4*y(t). Suppose -11*x + 44 = -7*x. Let k(p) = -5*p + 8. What is x*f(z) + 4*k(z)?
2*z - 1
Let p(d) = 21*d - 11*d - 21 + d**2 - 20*d**3 - 21*d. Let a(l) be the second derivative of -l**5/5 - l**3/3 - 2*l**2 - 3*l. Determine -11*a(w) + 2*p(w).
4*w**3 + 2*w**2 + 2
Let m(q) = -3*q**3 - q**2 - 4. Let i(j) = j - 4. Let z be i(6). Let o(w) = -3*w**3 + 10*w**3 - w**2 + 8*w**z + 9 - 5*w**2. What is -5*m(t) - 2*o(t)?
t**3 + t**2 + 2
Let f(n) = 139*n - 51. Let y(a) = 48*a - 17. What is -6*f(c) + 17*y(c)?
-18*c + 17
Let s(l) = 2*l**2 + 7*l + 130. Let n(z) = -z + 1. Determine -3*n(o) - s(o).
-2*o**2 - 4*o - 133
Let w(h) = 667*h**2 + 11*h. Let l(j) = -335*j**2 - 6*j. Calculate -11*l(z) - 6*w(z).
-317*z**2
Let d(z) = -2*z**3 - 3*z**2 + 3*z + 27. Let v(t) = -t**3 - 2*t**2 + 2*t + 27. Give -2*d(a) + 3*v(a).
a**3 + 27
Let t(w) = w + 2. Let y(g) = 12*g**3 + 2*g**2 + 15*g - 8. What is 4*t(u) + y(u)?
12*u**3 + 2*u**2 + 19*u
Let l be 2/1 + (38 - 36). Let j(s) = 5*s**3 - 4. Let v(x) = x**3. Give l*v(y) - j(y).
-y**3 + 4
Let a(l) = 3*l**3 + 30*l - 14. Let z(u) = u**2 - 5*u + 1. Let h(c) = -a(c) - 5*z(c). Let j(d) = -1 - 3*d**2 - 3*d + 6 - 2*d**3 + 0. What is 3*h(t) - 5*j(t)?
t**3 + 2
Let d be (-888)/(-84) + (-18)/(-42). Let s(n) = 21*n**3 + 29*n**2 - 16*n + 11. Let x(b) = 4*b**3 + 6*b**2 - 3*b + 2. What is d*x(c) - 2*s(c)?
2*c**3 + 8*c**2 - c
Let i(n) = -4*n**3 - 5 + 2*n**2 + 4*n**2 - 13*n**2 + 2*n**2 - 5*n. Let o(f) = 6*f**3 + 8*f**2 + 8*f + 8. Calculate -8*i(c) - 5*o(c).
2*c**3
Let h(d) = -1. Let p(i) = -5*i**2 - 22*i + 17. Let t(y) = 8*y**2 + 31*y - 25. Let o(z) = -7*p(z) - 5*t(z). Calculate -3*h(a) - o(a).
5*a**2 + a - 3
Let h(b) = -4*b**2 - 2. Let q(m) = m**2 + 1. Let w(g) = -g**2 + 46*g - 210. Let a be w(41). Determine a*q(l) - h(l).
-l**2 - 3
Let b(j) = 4*j**3 - 7*j**2 + 3. Let n(a) = 5*a**3 - 8*a**2 + 4. Let f(m) = -8*m**2 + 4*m - 2. Suppose 15*r + 5 = 20*r. Let g be f(r). Give g*b(u) + 5*n(u).
u**3 + 2*u**2 + 2
Let g(m) = 10*m**2 - 2*m + 2. Let t be (-9)/(-15) + (-65)/25. Let c(f) = -11*f**2 + 3*f - 3. Give t*c(d) - 3*g(d).
-8*d**2
Let l(h) = 26*h**2 + 7*h + 55. Let q(c) = -12*c**2 - 3*c - 28. What is 3*l(f) + 7*q(f)?
-6*f**2 - 31
Let n be 1/(3/36 + 0). Let j(l) = -3*l**2 + 0 + 2*l**3 + 0*l**2 + 3 - 6 - 3*l. Let m(s) = s**3 - s**2 - s - 1. Determine n*m(a) - 4*j(a).
4*a**3
Let p(w) = 8*w**3 - 5*w**2 - 5*w - 5. Let n(i) be the second derivative of 33*i**5/20 - 7*i**4/4 - 7*i**3/2 - 21*i**2/2 - 3*i + 40. Determine 5*n(y) - 21*p(y).
-3*y**3
Let o(w) = -7*w + 1. Let u(l) = -7 - 30*l + 23*l + 8. Calculate -5*o(j) + 6*u(j).
-7*j + 1
Let b(a) = 1. Let m(t) = -2*t**3 - 3*t**2 - 5*t + 1. Give -2*b(v) - m(v).
2*v**3 + 3*v**2 + 5*v - 3
Let v(t) = 19*t**2 + 5*t - 146. Let l(s) = -11*s**2 - 3*s + 73. Give 5*l(x) + 3*v(x).
2*x**2 - 73
Let k(f) = -7*f**2 + 2*f - 1. Let i(x) = 28*x + 1 - 4*x**2 + 25*x - 55*x + 12*x**2. Let v = -33 + 28. Determine v*i(w) - 6*k(w).
2*w**2 - 2*w + 1
Let y(q) = 7*q - 3 - q**3 + 10*q**3 - 4 + 0 - 7*q**2 + 2*q**3. Let o(w) = -5*w**3 + 3*w**2 - 3*w + 3. Give 7*o(m) + 3*y(m).
-2*m**3
Let z(b) = b**2 - b - 22. Let x(f) = 4*f**2 - 3*f - 66. Determine 2*x(c) - 7*z(c).
c**2 + c + 22
Let b(x) be the first derivative of -x**4/4 + x**3/3 - 5*x**2/2 - 117. Let l(q) = 3*q**2 - 9*q - 2*q**3 - 3*q - 2*q. Calculate 8*b(u) - 3*l(u).
-2*u**3 - u**2 + 2*u
Let u = 52 - 51. Let o(x) = x**2 + x + 1. Let b(c) = 4*c + 4. Determine u*b(f) - 4*o(f).
-4*f**2
Let g(l) = 16*l**2 - 12*l - 5. Let t(v) = -2*v**2 + 1. Give -g(m) - 6*t(m).
-4*m**2 + 12*m - 1
Let h(r) = -5*r. Suppose 3*s - s - 46 = 4*n, 4*n = 3*s - 61. Let m = s - 17. Let j(q) = -21*q. Calculate m*j(c) + 9*h(c).
-3*c
Let w(n) = -5*n**2 + 8*n + 11. Let l(i) = -2*i**2 + 3*i + 4. Suppose 3*j = 13 - 1, 26 = 5*g + 4*j. Suppose -4*x = v + 4*v - 7, -g*v = 3*x. Give v*w(c) - 8*l(c).
c**2 + 1
Suppose 5*x - 2*n = 3*x + 2, -2*n - 4 = -3*x. Let a(c) = 1 + 2*c + 62*c**2 - 3*c - 61*c**x. Let y(l) = -20*l**2 + 22*l - 22. Give 44*a(m) + 2*y(m).
4*m**2
Let k = -620 + 619. Let q(f) = -5*f + 5. Let m(h) = -h**2 + h - 1. Let w be 2/7 + 74/(-14). Determine k*q(p) + w*m(p).
5*p**2
Let h(y) be the second derivative of y**3/6 - 9*y**2/2 + 2*y + 5. Let k(a) = a - 14. Determine 8*h(j) - 5*k(j).
3*j - 2
Let i(c) = 58*c**3 - 13*c**2 - 9*c - 6. Let n(z) = 28*z**3 - 6*z**2 - 4*z - 3. Determine 4*i(s) - 9*n(s).
-20*s**3
|
{
"pile_set_name": "DM Mathematics"
}
|
v (c) -4
c
Let u = -0.5 - -1. Let y = 172511 - 172511.5. Which is the nearest to -2/5? (a) 10 (b) u (c) y (d) -5
c
Let m = -42 + 43. Which is the nearest to -1? (a) m (b) -4 (c) -0.5 (d) 2.2
c
Let g = 29/3264 - -831359/16320. Let x = -51 + g. Let q = 51/20 + x. Which is the nearest to 0? (a) q (b) -5 (c) -2
c
Suppose 2 = -21*k + 65. Suppose 5*m = -616 - 1369. Let u = m + 6755/17. Which is the nearest to u? (a) k (b) 4 (c) -1/6
c
Let g = -5148 + 5147.5. What is the nearest to 0 in g, -2, 0.06, -1/9?
0.06
Let j = -20 + 16. Let y = -1477 + 1453. Which is the nearest to 1? (a) 0 (b) y (c) j
a
Let i = -8 - -3. Suppose -485*n + 537*n = 364. Which is the nearest to i? (a) -3 (b) 4 (c) n
a
Let x be ((-3)/(-10))/(66/(-9944))*(2 - -28). Which is the nearest to 2/7? (a) 1 (b) 4 (c) x
a
Suppose 3 = 2*q + q. Let g(h) = 11*h + 8*h - 32*h + 14*h - 2. Let l be g(-3). Which is the nearest to 0.1? (a) -0.5 (b) q (c) l
a
Let t = 27 - 26.9. Let k = -5.69 - -9.48. Let v = k + -0.79. Which is the nearest to 1? (a) t (b) -6 (c) v
a
Suppose -19*u - 56 = -5*u. Let y be (396/(-56) - -7)/((-1)/u). What is the closest to 0 in 5, y, -3?
y
Let n = 399.29 + -414.29. Let w = 4.7 - 0.7. What is the nearest to -1/3 in n, w, 0?
0
Let f = -101/1612 + -1007/3224. Let g = -7.3 - -1.3. What is the nearest to 1/2 in f, -5, g?
f
Let i = 10 + 3. Let a = i - 18. Let q = 2097 + -2099. What is the closest to -2/7 in -1/4, q, a?
-1/4
Let s be (-312)/830 - 2*(-3)/15. Let b = 172/249 - s. What is the closest to 1 in -44, b, -1?
b
Let m be (2 - -21) + (-2130)/90. Let y = -6 + 5. What is the nearest to -19 in y, m, 0?
y
Let t be 19/3*(-6)/8. Let m = t - -21/4. What is the nearest to m in 0.1, -1/5, 3?
0.1
Let j(t) = -6*t**3 + 7*t**2 - 2*t + 9. Let v(m) = 7*m**3 - 7*m**2 + m - 9. Let d(g) = -6*j(g) - 5*v(g). Let l be d(6). What is the closest to -1 in 0.5, 3, l?
0.5
Let l = -122 - -255. Let k = 138 - l. What is the nearest to -1/4 in k, 2/31, -4?
2/31
Let d = -26692/7 + 3814. What is the nearest to -0.1 in d, 2, 0.5?
0.5
Let j = 500088 + -500088. Let r = 0 - -0.1. Which is the closest to r? (a) -0.2 (b) -1/7 (c) j
c
Let v = -3.698 - 0.002. Let d = -0.3 + v. Let u = -3443.7 - -3443.4. What is the closest to d in u, 0, -3?
-3
Let a = -0.172 - 0.328. Let z(t) = 2*t**2 + 71*t - 113. Let y be z(-37). What is the nearest to 2 in a, 2, y, 1?
2
Let b be (14*11/132)/((-42)/(-12)). What is the nearest to 6 in b, -0.23, -0.1, 4?
4
Let j = 5.932 + 2.068. Which is the nearest to 15/7? (a) 2/3 (b) j (c) -0.2
a
Let t(i) = -i**2 + 20. Let u be t(-4). Let k(w) = 7*w - 19. Let s be k(3). Which is the nearest to u? (a) -0.5 (b) 5 (c) -5 (d) s
b
Let g = -17769 - -17767. Which is the nearest to g? (a) -2 (b) 9 (c) -0.09
a
Let s be 2/12 + (-4)/(-8). Let t = 81/4 + -20. Let v = -42 - -292/7. Which is the nearest to t? (a) -4 (b) v (c) s
c
Let y(i) = -i**2 + 0*i**2 - 10*i + 1 + 17*i. Let v be y(7). Let l(h) = h**2 - 13*h + 29. Let s be l(3). Which is the closest to v? (a) 0 (b) s (c) -0.2
a
Let x = 12.967 + -51.873. Let m = x + -0.094. Let d = m + 39.09. What is the closest to -1 in 0.1, d, 0.5?
d
Let d = 81 - 407/5. Let f be -1 - (-9 - 0/2). Let u(l) = -l**2 + 8*l. Let j be u(f). What is the closest to j in 1, d, -0.3?
-0.3
Suppose -o - 2 = -4. Let q be (1/o)/(1/(-4)). Let z = 0.0437 + -1.0437. Which is the closest to z? (a) -1 (b) q (c) -3
a
Let n = -38.44 + 38.5. Which is the closest to n? (a) -0.5 (b) 0.4 (c) -0.13 (d) -1
c
Let y = 334.16 + -334.36. Which is the closest to -13.7? (a) y (b) 1/7 (c) -10
c
Let v = 820 + -820.0316. Let w = v + 0.3316. Which is the nearest to -0.3? (a) -0.3 (b) w (c) -1/2 (d) -2
a
Let z(f) = -f**3 + 6*f**2 + 14*f + 17. Let w be z(8). What is the nearest to 2/3 in -0.3, w, 24?
w
Let z = -3114.5 - -3115. Let q = 0.04 - 0.21. Which is the nearest to -1? (a) q (b) z (c) -4/5
c
Let j = -51/4 + 12. Suppose 806 = 5*o + r, -3*r - 822 = -2*o - 3*o. Let s be 20/(-110) + o/165. Which is the closest to -1? (a) 1 (b) j (c) s
b
Let n = -25662 - -179638/7. What is the closest to n in 2/21, -0.2, -4, 0.4?
0.4
Suppose -3*n - 2025 - 2337 = 0. Let r = n + 4421/3. Let z = -21 + r. Which is the closest to 2? (a) -5 (b) z (c) -4
b
Let t = -0.06576 + -3.63424. Which is the nearest to 0.1? (a) -2/3 (b) 0 (c) 0.4 (d) t
b
Let z = -4.2 + -0.8. Let m = -143788/17 - -8458. Which is the nearest to 3/4? (a) z (b) 0.4 (c) m (d) 7
b
Let q = 0.1 - 0.1. Suppose -2*m - 4*l + 3*l - 4 = 0, 2*m - 2*l - 8 = 0. Suppose 13*t + 101 - 166 = m. What is the closest to -19 in -0.4, q, t?
-0.4
Suppose 97*x - 1540 = 207*x. Which is the nearest to -2? (a) -0.3 (b) x (c) -1/4
a
Let p(d) = d**3 + 5*d**2 + 10*d - 5. Let g be p(0). What is the nearest to 1 in 0.066, 0, g?
0.066
Let p be (300/1080)/(25/(-15)). Let j = 212.88 + 0.12. Which is the closest to 1? (a) 3 (b) p (c) j (d) -2/3
b
Let f = 1.71 - -1.29. Let u = 42.8 + -43. Suppose 2 = 2*x - x. Which is the nearest to u? (a) f (b) x (c) 5
b
Let t = 204 - 201. Let l = 1399 + -1398. What is the nearest to 0 in l, t, 2/33, -3/7?
2/33
Let k = -40.5963 - 0.4037. Which is the closest to 1? (a) k (b) 4 (c) -1 (d) 1
d
Let x = -92 - -921/10. Let s be (-10)/90 - 2/9. Which is the closest to -3/7? (a) 5 (b) s (c) x
b
Let q = 36160.92 + -36161. Which is the nearest to q? (a) -3 (b) -51 (c) 2
c
Let x(p) = 68*p + 18. Let s be x(9). Let h be ((-12)/(-14))/(-5*(-2)/s). Let d = -50 + h. Which is the closest to 0.4? (a) -1/7 (b) -3 (c) d
a
Let v = 0.7 - 3.7. Suppose -m - 13 = 4*d + d, -4*m - 3*d = 35. Let o be -5 - 3/(-3) - m/3. Which is the nearest to 2? (a) -1/6 (b) o (c) v
a
Let c = 24.03 + -20.03. What is the nearest to -1/2 in -2/11, 3, -0.04, c?
-2/11
Let s = 122523 - 8086249/66. Let g = 9/22 - s. What is the closest to 0 in -2, g, 0.5?
0.5
Let r = -0.31492 + 0.51492. What is the nearest to 9/2 in 3, r, -4?
3
Let j = -6621 + 6621.3. Which is the nearest to -2? (a) -44 (b) -2/7 (c) j (d) -5
b
Let g = -0.036 + 0.136. Let d = 4.9 + g. Which is the nearest to 1? (a) d (b) 94 (c) -4
a
Let z = 142.7 + -143. Let q = 1335 - 1338. What is the nearest to q in 0, z, -0.2, -0.5?
-0.5
Let n = -32 - -2. Let w = 31 + n. Let h be 2*(w - (-36)/(-40)). Which is the nearest to -1/2? (a) -0.1 (b) h (c) -1
a
Suppose -287*y = -284*y - 4*s + 37, -5*y - 29 = -2*s. What is the nearest to 1/2 in 2/53, 3, -10, y?
2/53
Let z = 60232 + -60232.3. Let m = 3 - 3.1. Which is the closest to m? (a) z (b) -5 (c) -0.4
a
Let h = -310 + 621/2. What is the closest to 6 in h, 4, 2/9?
4
Let v = -0.01 - 0.39. Let t be ((574/(-6027))/(3/(-49)))/((32/18)/2). What is the closest to -2 in t, 3, v, 2/9?
v
Let t = -3 - -1. Let w = -1017 - -1025. Let d be ((-132)/99)/(w/(-18)). Which is the closest to -2/11? (a) 0.5 (b) d (c) t
a
Suppose 37 - 36 = -5*v + h, 2*v = -h + 1. What is the nearest to v in -1/5, 1/2, 2/109, 0?
0
Let x = -953 - -550. Let c = -403.3 - x. What is the nearest to -0.1 in 5, -5, -2, c?
c
Let j be (22/(-198))/((3/2)/3). What is the nearest to j in -0.1, 2/9, 3, 4?
-0.1
Let n = -0.61 - -1.61. Let k be 7 - 8 - (-574)/9. Let j = -63 + k. What is the closest to n in 0, -0.5, j?
0
Suppose -23 - 25 = -16*v. Let w = 36 - 255. Let h = 2411/11 + w. Which is the closest to h? (a) -0.3 (b) -1/4 (c) v
b
Let s = 1.7 - 2.8. Let i = 2.1 + s. Let h = 1513 + -1515. Which is the closest to -2/7? (a) i (b) -0.2 (c) h
b
Let g = 403 + -359. Let t = -44.1 + g. What is the closest to -2/43 in -1/2, 5, t?
t
Let i = -149/12 + 38/3. Let j = 377 + -373. Which is the closest to -1? (a) 26 (b) i (c) j
b
Let i = -8789 - -8793. What is the nearest to 0.04 in -51, i, 2/3, -5?
2/3
Let a = 591 + -587. What is the closest to -32 in -5, -0.6, a, -0.2?
-5
Let k be 5 - (-11)/264*-136. What is the closest to 1/2 in k, -0.4, 1/1333, 3/2?
1/1333
Let j be (3/(-5))/((-9)/6). Let g be 170/(-30) + 14125/2625. Which is the closest to -4/5? (a) 0.1 (b) g (c) 5 (d) j
b
Let z = -3.05347 - -0.05347. Which is the closest to 78? (a) -2/11 (b) 4 (c) z (d) -0.3
b
Let s be 394/(-24428) - (-3)/186. Let a = 2.3 + 0.7. What is the nearest to s in a, 1, 2?
1
Let z = -1582 - -1430.9. Let i = z + 139. Let m = i - -16.1. Which is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
(i) = i**2 - 5*i - 7. Let o(u) = u. Let b(y) = l(y) + 3*o(y). What are the prime factors of b(w)?
2
Suppose 5*q - 223 + 13 = 0. List the prime factors of q.
2, 3, 7
Let g(p) = -p**3 - 5*p**2 - p - 2. Let c be g(-5). Let n be (-1)/(-4) - (-90)/24. Suppose 0 = 4*b - n, -c*j + 8*j + 2*b - 52 = 0. List the prime factors of j.
2, 5
Suppose -816 = 18*r - 26*r. List the prime factors of r.
2, 3, 17
Let y(c) be the second derivative of -c - 4/3*c**3 - 1/12*c**4 - 2*c**2 + 0. What are the prime factors of y(-7)?
3
Suppose 3*a = 2*a + 3*l + 16, 5*a = 2*l + 15. List the prime factors of a + (-4 + 43 - 2).
2, 19
Let t be -2 - (3 - 2 - 3). Suppose 2*l - 3*d + 41 = t, 3*l + 62 = -0*l + 5*d. Let n = l + 31. List the prime factors of n.
2, 3
What are the prime factors of 638/6 - 4*2/(-12)?
107
Suppose -49 - 64 = -x. What are the prime factors of x?
113
Let j(m) be the third derivative of -m**6/120 - m**5/12 + 7*m**3/6 + 6*m**2. Let n be 1/4 - (-42)/(-8). What are the prime factors of j(n)?
7
Let r be (2 - (-12)/(-3)) + -13. What are the prime factors of 18/(-15)*r/2?
3
Let c = 8 + -6. Suppose -v + 2 = -1. Suppose -k + 5*y = 2*k + v, -c*y = -4*k + 10. What are the prime factors of k?
2
Suppose -s = 0, 8*s - 4*s = 5*m - 100. Let j be (2/3)/(3/117). Suppose v - 4*g = g + j, -g + m = 4*v. List the prime factors of v.
2, 3
Let n = 17 + -14. What are the prime factors of 45/6 - n/6?
7
Suppose -3*j = -0*j - 81. Suppose l - c - 15 = c, 4*c = -4*l. Suppose -l*s + 23 = -j. What are the prime factors of s?
2, 5
Suppose 152 + 370 = 9*u. What are the prime factors of u?
2, 29
Let x = -4 + 7. Let f(h) = -6*h + 1. Let g be f(x). List the prime factors of (-1 + 0/(-1))*g.
17
Let m be (84/7)/((-6)/(-4)). Let s = 2 + -2. Let k = m + s. List the prime factors of k.
2
Let o(w) = -8*w + 8*w - w - 2. Let u be o(-4). Suppose -5*d - 40 = -5*r, u*d - d = 5*r - 44. List the prime factors of r.
3
Let r = 11 + -3. Let k = 10 - r. List the prime factors of 1/(2/12*k).
3
Let i = 41 - 10. What are the prime factors of i?
31
Let d(c) = 2*c + 9 - 11*c**2 + 8 - 9*c + c**3 - 6*c. Let o be d(12). Suppose -4*j - k + 31 = 0, 20 = o*j - 3*k - 2*k. List the prime factors of j.
7
Suppose -2*y = y - 9. List the prime factors of -22*y/(-12)*2.
11
Suppose 4*g = 3*u + 16, 0 = -2*u + 3*u + 2*g + 2. Let w(o) be the third derivative of o**5/60 + o**4/12 - o**3/2 - 6*o**2. What are the prime factors of w(u)?
5
Suppose -2*u + 16 = 3*x, 4*x - 2*u + 1 + 1 = 0. Suppose -3*a + x*m + 6 + 15 = 0, -4*a - 5*m + 5 = 0. What are the prime factors of a?
5
Let w = -5 + 5. Suppose w = -3*z - 12 + 78. List the prime factors of z.
2, 11
Let y(s) = -s**3 + 10*s**2 + 12*s - 7. Let c be y(11). Suppose -c*k - 4*p + 70 = -6*p, -p = 2*k - 33. What are the prime factors of k?
17
Let r = -78 - -124. List the prime factors of r.
2, 23
Suppose -y + 0*k - k - 3 = 0, -6 = -4*y + 2*k. Suppose y*m - 2*m + 18 = 0. What are the prime factors of m?
3
Suppose 95 = 5*j - 4*n + 5*n, 3*j - 55 = -n. What are the prime factors of j?
2, 5
Let n(o) = -o + 1. Let z be n(-3). Suppose -4*g - 3*c - 8 + 36 = 0, 0 = -3*g - z*c + 14. Suppose 0 = p - 3*p + g. What are the prime factors of p?
5
Suppose 4 = h - 0. Suppose 61 = 5*p + 2*b, 0*b = h*p - b - 41. What are the prime factors of p?
11
Suppose 2*y - 5 - 15 = 0. Let m = y - 4. What are the prime factors of 1 + 39/(m/2)?
2, 7
Let a be (24/(-42))/(2/(-7)). What are the prime factors of 2*(3 - a) - -2?
2
Let r = -178 + 408. List the prime factors of r.
2, 5, 23
Let f(h) = -16*h - 9. List the prime factors of f(-3).
3, 13
Suppose 0*o = 2*o - 86. What are the prime factors of o?
43
Let g = 24 + -7. Suppose -3*k + 10 = -5, i - 4*k + g = 0. What are the prime factors of i?
3
Suppose 2*f = -0*f + 2, 0 = -5*t - f + 21. Suppose 0 = -d + 3*m + 2*m - 18, -5*m + 28 = t*d. List the prime factors of d.
2
Let g(p) = -p**2 - 3*p + 3. Let m be g(-3). Suppose -k + m*k - 50 = 0. What are the prime factors of k?
5
Let c = -7 - -11. Suppose -3*q - 16 = -7*q. Suppose -c*y = y - 20, 12 = -g + q*y. List the prime factors of g.
2
Let q(j) = 17*j - 39. What are the prime factors of q(16)?
233
Let w(s) = -s**2 + 2*s**2 + 6 - 13 - 4*s. Let o be ((-2)/(-5))/((-2)/(-30)). List the prime factors of w(o).
5
Suppose -4*b - 3*i + 41 = 2*i, -4*i = 4*b - 36. Suppose 111 = -5*r + 5*h + 11, -h + 86 = -b*r. Let x = r + 34. List the prime factors of x.
2, 3
Let y be (17/(-3))/(5/15). Let g = y - -25. Suppose -4*v = 2*a - g, -a - 3 = -5*v - 14. What are the prime factors of a?
2, 3
Let a be -2*(-129)/(-6)*-1. Suppose 3*s = 2*w - a, 0 = -2*w - 2*w - 3*s + 113. Let n = w + -18. List the prime factors of n.
2
Let i be (-2)/6 + 61/3. Suppose -n + 5*n = i. Suppose 18 + 7 = n*j. List the prime factors of j.
5
Suppose 0 = -4*s + 82 + 66. List the prime factors of s.
37
Let m(v) = 9*v**2 + 8*v + 5. What are the prime factors of m(4)?
181
Let r(f) = f - 1. Let y be r(4). Suppose 0 = 5*s - 63 + y. What are the prime factors of s/9*(-21)/(-2)?
2, 7
Suppose -3*y + 20 = 2*y. Suppose -5*n = -20, 0 = -y*g + 2*n + n - 20. What are the prime factors of 51/6 - (-3)/g?
7
Let i(z) = -6*z**2 + 3*z - 2. Let x(c) = -2 + 2*c**2 - c - 7*c**2 + 3*c. Let n(a) = 6*i(a) - 7*x(a). List the prime factors of n(4).
2
Let o(x) = x**3 + 6*x**2 + 5*x - 1. Let h be 0 + -6 - -1*2. Let j be h + (0 + 0)/1. What are the prime factors of o(j)?
11
Suppose -3*h = -189 - 96. Suppose -5*w + 3*c + h = -0*w, 4*c = 0. List the prime factors of w.
19
Let x = -23 + 45. Suppose -x = 2*j - 3*j. Let o = j + -15. What are the prime factors of o?
7
Suppose 8*y - 1 = 7*y. What are the prime factors of 85/20 - y/4?
2
Suppose -43 = -5*b + 7. What are the prime factors of b?
2, 5
Let f be 41/4 - (-1)/(-4). Let b = 0 + f. What are the prime factors of b?
2, 5
Let c(z) = -z**3 + 7*z**2 + 4*z - 8. Let f be c(7). Suppose 35 = 5*y - f. List the prime factors of y.
11
List the prime factors of (2/3)/(8/612).
3, 17
Let z(b) = 7*b + 3. Let f be z(6). Suppose -4*h + h = -f. What are the prime factors of h?
3, 5
Let o(z) be the third derivative of 11*z**4/24 + 2*z**2. What are the prime factors of o(1)?
11
Suppose -5*l + 2*f + 17 = -0*l, -5*f = 5*l - 10. List the prime factors of l.
3
Suppose -1 = -4*n + 7. Suppose 0 = -2*r + 5*r, -d + 3*r = -n. What are the prime factors of d?
2
Let t = 17 + -7. List the prime factors of 4/t*2*15.
2, 3
Suppose -2*v - 11 = -3*m, 0 = -4*v + 6*m - 3*m - 13. What are the prime factors of 38/(-4)*2*v?
19
Suppose 18 = -5*a - 2. Let h = a + 8. Suppose h*n - 13 = 51. What are the prime factors of n?
2
Let x = 58 + -34. What are the prime factors of x?
2, 3
Suppose 0*s = 3*s - 9. List the prime factors of (-2 - -7) + (-9)/s.
2
Let z(i) = -2*i - 2*i - 26*i**3 - i**2 + 5*i + 1. List the prime factors of z(-1).
5
Suppose -3*v + 5*k = 26, 2*v = 2*k + 3*k - 19. Let n be (-51)/v - (-2)/(-7). Suppose 4*u + l - 5 = 0, 4*u = -8*l + 3*l - n. What are the prime factors of u?
2
Let o(n) = -2*n. Let b be -3*(2 - (-10)/(-6)). Let d = -4 - b. What are the prime factors of o(d)?
2, 3
What are the prime factors of 17/(-51)*(-978)/2?
163
Let a = 5 + -2. Suppose b = 4*p + 3, 8*p - a*p - 33 = -4*b. Let g(h) = -h**2 + 9*h - 4. What are the prime factors of g(b)?
2, 5
Let c = -8 + 10. Suppose 41 = 3*w - c*w - 3*d, 4*d = 3*w - 138. What are the prime factors of w?
2, 5
Let u(q) = q. Let p be u(-4). Let h be (p - 2)*2/(-6). Suppose -5*y - 4 = -3*g, -h*y = g - 7*y + 2. What are the prime factors of g?
3
Let k be 1/(-3) - 79/(-3). Let d = -17 + k. List the prime factors of d.
3
List the prime factors of 15/((-3)/(-1))*8.
2, 5
Suppose -4*x + 0*x = 0. Suppose -4 + 2 = -n. What are the prime factors of 12 + (x - -2 - n)?
2, 3
Suppose 2*u - 4*u = -58. What are the prime factors of u?
29
Let z be 1/(0 - (-1)/2). Let v = z - -2. List the prime factors of v.
2
Let l = -100 - -151. List the prime factors of l.
3, 17
Suppose 3*w - 2*w - 18 = 0. Let x be 6/27 - (-16)/9. Suppose -x*l - w = -5*l. List the prime factors of l.
2, 3
Let h = 2 - -48. List the prime factors of h.
2, 5
Let g = 11 - -14. Suppose g = -0*x + x. List the prime factors of x.
5
Let q(m) = -2*m - 11. Let b be q(-8). Let f = 7 - b. Suppose -f*s - 19 + 45 = 3*c, -s + 4*c - 9 = 0. What are the prime factors of s?
7
Let r(v) = -5*v - 3. Let o = -16 +
|
{
"pile_set_name": "DM Mathematics"
}
|
est common factor of 1945 and 1369332515.
1945
What is the highest common divisor of 104 and 34076744?
104
Calculate the highest common factor of 25197961 and 17.
17
Calculate the highest common divisor of 453725577 and 69.
69
Calculate the greatest common factor of 7859160 and 4540.
20
What is the highest common factor of 24698 and 129850?
106
What is the highest common factor of 3451315 and 2205?
245
What is the highest common divisor of 46347900 and 180?
60
Calculate the greatest common factor of 133 and 101558933.
133
Calculate the greatest common divisor of 91 and 83909735.
91
Calculate the greatest common divisor of 1491 and 74571.
21
Calculate the highest common factor of 1760 and 613920.
160
What is the greatest common divisor of 1983360 and 196608?
384
Calculate the highest common divisor of 14161 and 97727.
7
Calculate the highest common factor of 119 and 3006703.
7
What is the greatest common factor of 6699 and 45378564?
231
What is the greatest common divisor of 25622 and 168544?
46
Calculate the greatest common divisor of 511320 and 2410.
10
What is the greatest common divisor of 725 and 4051025?
25
What is the greatest common factor of 180 and 2406251700?
180
What is the greatest common factor of 150 and 3877905?
15
What is the highest common divisor of 74141809 and 1772?
443
What is the greatest common divisor of 5548 and 306308?
292
Calculate the highest common factor of 278376584 and 2810.
562
What is the highest common factor of 2302585 and 15?
5
What is the highest common factor of 5547 and 2095089?
129
Calculate the highest common factor of 255780 and 186564.
84
What is the greatest common divisor of 1939 and 17569279?
1939
Calculate the highest common factor of 12425391 and 414.
9
What is the highest common divisor of 473847 and 1826?
913
Calculate the greatest common factor of 9457712 and 308.
44
What is the greatest common factor of 10 and 351366480?
10
What is the highest common divisor of 3492496 and 91?
7
What is the highest common divisor of 801 and 66833037?
801
What is the greatest common divisor of 117 and 1279322148?
39
What is the highest common factor of 23002 and 11161178?
434
What is the greatest common divisor of 14578916 and 8?
4
Calculate the highest common divisor of 176000 and 2349952.
1408
Calculate the highest common divisor of 1868055 and 20610.
15
What is the highest common divisor of 10215 and 35447185?
1135
Calculate the greatest common divisor of 164 and 152479.
41
What is the greatest common divisor of 11560 and 144267355?
1445
Calculate the greatest common divisor of 91813938 and 15285.
3057
Calculate the greatest common factor of 41015165 and 895.
895
Calculate the greatest common factor of 25104 and 1564293.
1569
Calculate the highest common factor of 11220 and 166119580.
3740
What is the greatest common divisor of 208 and 8748337?
13
What is the highest common divisor of 130131 and 315458091?
6849
Calculate the greatest common divisor of 8700 and 1285425.
2175
What is the highest common divisor of 548 and 45116840?
548
What is the greatest common factor of 1693843 and 17127?
173
What is the greatest common divisor of 280732941 and 9?
9
Calculate the highest common divisor of 428 and 107923303.
107
Calculate the highest common factor of 38 and 112794298.
38
Calculate the highest common factor of 18173329 and 28196.
1007
Calculate the highest common divisor of 1864687 and 13059398.
6589
Calculate the highest common factor of 9261 and 29523382.
343
What is the highest common divisor of 1031082 and 91?
13
What is the highest common factor of 4482823 and 3390?
113
What is the highest common factor of 7664044 and 105694?
2458
What is the highest common factor of 54 and 41351499?
27
Calculate the highest common factor of 237755280 and 276.
12
What is the greatest common divisor of 1978 and 679374?
46
What is the highest common factor of 12420 and 16699311?
621
What is the greatest common divisor of 823500 and 27882?
18
Calculate the greatest common factor of 70090 and 1158420.
430
Calculate the greatest common divisor of 733985 and 319573.
313
Calculate the highest common factor of 547565 and 101365.
485
Calculate the greatest common factor of 195579 and 93.
93
Calculate the highest common divisor of 9002 and 7234393.
643
Calculate the highest common divisor of 30723 and 32034387.
1617
Calculate the greatest common divisor of 4851 and 1420461.
441
Calculate the greatest common divisor of 630 and 7866270.
90
Calculate the highest common divisor of 5306 and 48101543.
2653
Calculate the highest common divisor of 375948 and 6840.
36
Calculate the greatest common divisor of 5779539 and 5976.
747
What is the highest common divisor of 140820 and 53820?
60
What is the greatest common factor of 896 and 136117856?
224
Calculate the greatest common factor of 49568953 and 7.
7
What is the highest common divisor of 68 and 80835289?
17
What is the highest common factor of 108551012 and 94?
94
What is the highest common factor of 779 and 23579674?
41
What is the highest common factor of 4942 and 92462349?
2471
What is the highest common divisor of 2162034534 and 3714?
3714
Calculate the highest common divisor of 36184301 and 8144.
509
What is the greatest common divisor of 328 and 5609251?
41
Calculate the greatest common divisor of 139605 and 65595.
15
What is the highest common factor of 489 and 36541014?
489
What is the highest common divisor of 7421 and 88478?
41
What is the highest common divisor of 84 and 4570692?
84
What is the highest common factor of 1445784 and 6?
6
What is the highest common factor of 1905164 and 1580?
316
What is the greatest common factor of 333430 and 1250?
10
Calculate the highest common divisor of 2905 and 114405955.
415
What is the highest common divisor of 130158 and 269451?
63
Calculate the greatest common factor of 81290 and 22.
22
What is the highest common divisor of 409727 and 12803?
31
What is the highest common divisor of 2889 and 82431?
27
What is the highest common divisor of 2171 and 81319982?
167
Calculate the highest common factor of 3243026157 and 651.
651
Calculate the greatest common factor of 5371252 and 68.
68
Calculate the greatest common divisor of 754795 and 15.
5
What is the greatest common factor of 1755 and 4542642?
351
What is the greatest common divisor of 15634188 and 2052?
2052
What is the greatest common factor of 342 and 238829373?
171
What is the greatest common divisor of 20843 and 106409?
1097
Calculate the highest common divisor of 11007484 and 99244.
172
Calculate the greatest common factor of 638 and 7629523.
319
Calculate the greatest common factor of 1967947 and 4.
1
Calculate the greatest common divisor of 169952508 and 396.
396
What is the highest common divisor of 19270489 and 67193?
2317
What is the greatest common factor of 32287 and 7780?
389
Calculate the highest common factor of 23664 and 16312848.
1392
Calculate the highest common divisor of 9054 and 165381873.
1509
Calculate the greatest common divisor of 172869 and 7230693.
5961
What is the greatest common divisor of 47268 and 520958?
202
Calculate the highest common factor of 1140 and 228330.
30
Calculate the greatest common factor of 1912770 and 29415.
795
What is the highest common factor of 2842708 and 44?
44
Calculate the greatest common divisor of 10393 and 10437307.
547
Calculate the greatest common factor of 8407042 and 14.
14
Calculate the greatest common factor of 1285 and 407345.
1285
Calculate the greatest common factor of 457810 and 470.
10
What is the greatest common factor of 8892027 and 74736?
1557
Calculate the highest common divisor of 6862697 and 3799.
131
Calculate the highest common divisor of 54 and 205008.
6
Calculate the highest common divisor of 1377 and 14481387.
9
Calculate the greatest common factor of 55 and 97521390.
5
What is the greatest common factor of 933160795 and 235?
235
Calculate the highest common factor of 424 and 81425914.
106
What is the greatest common divisor of 3454 and 46804055?
157
What is the greatest common divisor of 995282 and 1015138?
2482
What is the highest common divisor of 3 and 112116723?
3
What is the highest common divisor of 357 and 1923537?
21
Calculate the greatest common factor of 27268749 and 21.
3
What is the hig
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 7, 11
What are the prime factors of 4454?
2, 17, 131
What are the prime factors of 6436?
2, 1609
What are the prime factors of 177269?
177269
List the prime factors of 2911.
41, 71
List the prime factors of 4907.
7, 701
List the prime factors of 4846.
2, 2423
What are the prime factors of 9322?
2, 59, 79
List the prime factors of 5532.
2, 3, 461
List the prime factors of 45720.
2, 3, 5, 127
List the prime factors of 1515.
3, 5, 101
List the prime factors of 511.
7, 73
What are the prime factors of 9275?
5, 7, 53
What are the prime factors of 2890?
2, 5, 17
What are the prime factors of 345?
3, 5, 23
What are the prime factors of 11988?
2, 3, 37
List the prime factors of 7601.
11, 691
List the prime factors of 791.
7, 113
What are the prime factors of 2747?
41, 67
List the prime factors of 2851.
2851
What are the prime factors of 4361?
7, 89
List the prime factors of 17627.
17627
List the prime factors of 7707.
3, 7, 367
What are the prime factors of 3659?
3659
List the prime factors of 22892.
2, 59, 97
List the prime factors of 1273.
19, 67
What are the prime factors of 12557?
29, 433
What are the prime factors of 14887?
14887
List the prime factors of 29606.
2, 113, 131
List the prime factors of 50172.
2, 3, 37, 113
List the prime factors of 80.
2, 5
List the prime factors of 2550.
2, 3, 5, 17
List the prime factors of 116383.
181, 643
What are the prime factors of 65274?
2, 3, 11, 23, 43
List the prime factors of 131570.
2, 5, 59, 223
What are the prime factors of 491?
491
What are the prime factors of 27832?
2, 7, 71
List the prime factors of 2292.
2, 3, 191
List the prime factors of 24282.
2, 3, 19, 71
What are the prime factors of 4245?
3, 5, 283
List the prime factors of 2268.
2, 3, 7
List the prime factors of 9027.
3, 17, 59
List the prime factors of 1108.
2, 277
List the prime factors of 3827.
43, 89
List the prime factors of 2895.
3, 5, 193
List the prime factors of 6593.
19, 347
List the prime factors of 285.
3, 5, 19
What are the prime factors of 274?
2, 137
List the prime factors of 1828.
2, 457
What are the prime factors of 196574?
2, 7, 19, 739
List the prime factors of 4061.
31, 131
What are the prime factors of 1556?
2, 389
What are the prime factors of 13104?
2, 3, 7, 13
What are the prime factors of 403?
13, 31
What are the prime factors of 71446?
2, 139, 257
What are the prime factors of 1301?
1301
What are the prime factors of 12802?
2, 37, 173
What are the prime factors of 113766?
2, 3, 67, 283
What are the prime factors of 3976?
2, 7, 71
What are the prime factors of 32874?
2, 3, 5479
What are the prime factors of 14279?
109, 131
List the prime factors of 9492.
2, 3, 7, 113
List the prime factors of 316.
2, 79
What are the prime factors of 18905?
5, 19, 199
What are the prime factors of 5526?
2, 3, 307
List the prime factors of 12000.
2, 3, 5
List the prime factors of 13485.
3, 5, 29, 31
List the prime factors of 436.
2, 109
What are the prime factors of 95361?
3, 7, 19, 239
What are the prime factors of 9028?
2, 37, 61
List the prime factors of 1345.
5, 269
List the prime factors of 42814.
2, 21407
List the prime factors of 134536.
2, 67, 251
What are the prime factors of 975?
3, 5, 13
List the prime factors of 71770.
2, 5, 7177
What are the prime factors of 98469?
3, 7, 521
List the prime factors of 3935.
5, 787
What are the prime factors of 2282?
2, 7, 163
What are the prime factors of 15460?
2, 5, 773
List the prime factors of 561.
3, 11, 17
List the prime factors of 2234.
2, 1117
What are the prime factors of 39799?
39799
List the prime factors of 4635.
3, 5, 103
What are the prime factors of 3858?
2, 3, 643
List the prime factors of 25745.
5, 19, 271
List the prime factors of 31440.
2, 3, 5, 131
What are the prime factors of 629?
17, 37
List the prime factors of 52899.
3, 7, 11, 229
What are the prime factors of 5827?
5827
List the prime factors of 2043.
3, 227
What are the prime factors of 5240?
2, 5, 131
What are the prime factors of 627?
3, 11, 19
What are the prime factors of 85699?
43, 1993
List the prime factors of 21039.
3, 7013
List the prime factors of 3388.
2, 7, 11
What are the prime factors of 2875?
5, 23
What are the prime factors of 20893?
17, 1229
List the prime factors of 2300.
2, 5, 23
What are the prime factors of 2344?
2, 293
List the prime factors of 95588.
2, 23, 1039
What are the prime factors of 2156?
2, 7, 11
List the prime factors of 1117.
1117
What are the prime factors of 312?
2, 3, 13
What are the prime factors of 2086?
2, 7, 149
What are the prime factors of 49319?
149, 331
List the prime factors of 1395.
3, 5, 31
List the prime factors of 14605.
5, 23, 127
What are the prime factors of 55629?
3, 7, 883
What are the prime factors of 7846?
2, 3923
What are the prime factors of 10902?
2, 3, 23, 79
List the prime factors of 1204.
2, 7, 43
What are the prime factors of 589?
19, 31
What are the prime factors of 8367?
3, 2789
List the prime factors of 1044.
2, 3, 29
List the prime factors of 3857.
7, 19, 29
What are the prime factors of 2543?
2543
List the prime factors of 2659.
2659
What are the prime factors of 16417?
16417
What are the prime factors of 1490?
2, 5, 149
List the prime factors of 1272.
2, 3, 53
List the prime factors of 2185.
5, 19, 23
What are the prime factors of 20285?
5, 4057
List the prime factors of 24023.
24023
List the prime factors of 784.
2, 7
What are the prime factors of 1969?
11, 179
List the prime factors of 1916.
2, 479
List the prime factors of 9758.
2, 7, 17, 41
List the prime factors of 2070.
2, 3, 5, 23
List the prime factors of 9996.
2, 3, 7, 17
List the prime factors of 82274.
2, 31, 1327
What are the prime factors of 25678?
2, 37, 347
What are the prime factors of 1539?
3, 19
List the prime factors of 47558.
2, 7, 43, 79
What are the prime factors of 449?
449
What are the prime factors of 8186?
2, 4093
What are the prime factors of 31762?
2, 15881
List the prime factors of 72797.
72797
What are the prime factors of 50?
2, 5
What are the prime factors of 1094?
2, 547
What are the prime factors of 73826?
2, 36913
List the prime factors of 504.
2, 3, 7
List the prime factors of 155.
5, 31
What are the prime factors of 1055?
5, 211
What are the prime factors of 3639?
3, 1213
List the prime factors of 42214.
2, 21107
What are the prime factors of 47387?
47387
What are the prime factors of 21282?
2, 3, 3547
List the prime factors of 50398.
2, 113, 223
List the prime factors of 2775.
3, 5, 37
List the prime factors of 84067.
84067
List the prime factors of 34443.
3, 43, 89
What are the prime factors of 1728?
2, 3
List the prime factors of 467.
467
What are the prime factors of 88808?
2, 17, 653
List the prime factors of 1545.
3, 5, 103
What are the prime factors of 2265?
3, 5, 151
What are the prime factors of 1902?
2, 3, 317
What are the prime factors of 1475?
5, 59
List the prime factors of 1593.
3, 59
List the prime factors of 2276.
2, 569
List the prime factors of 68859.
3, 7, 1093
List the prime factors of 82054.
2, 7, 5861
List the prime factors of 32156.
2, 8039
List the prime factors of 9641.
31, 311
List the prime factors of 2223.
3, 13, 19
List the prime factors of 7959.
3, 7, 379
List the prime factors of 4.
2
List the prime factors of 148235.
5, 23, 1289
List the prime factors of 835.
5, 167
What are the prime factors of 26833?
26833
List the prime factors of 38292.
2, 3, 3191
What are the prime factors of 698?
2, 349
What are the prime factors of 31850?
2, 5, 7, 13
List the prime factors of 95852.
2, 31, 773
What are the prime factors of 20838?
2, 3, 23, 151
List the prime factors of 3114.
2, 3, 173
What are the prime factors of 2606?
2, 1303
What are the prime factors of 869?
11, 79
What are the prime factors of 621?
3, 23
What are the prime factors of 27829?
17, 1637
List the prime factors of 24594.
2, 3, 4099
List the prime factors of 13047.
3, 4349
List the prime factors of 12358.
2, 37, 167
List the prime factors of 1834.
2, 7, 131
What are the prime factors of 1750?
2, 5, 7
What are the prime factors of 1050?
2, 3, 5, 7
What are the prime factors of 25628?
2, 43, 149
List the prime factors of 22967.
7, 17, 193
What are the prime factors of 15167?
29, 523
What are the prime factors of 2766?
2, 3, 461
List the prime factors of 1728.
2,
|
{
"pile_set_name": "DM Mathematics"
}
|
) 5 (c) 0.24
c
Let z = 2.5 + -2. Let w = -1 + z. Let q = 27911 + -27906. Which is the second biggest value? (a) q (b) -0.4 (c) w
b
Let w(g) = -97*g**3 + 98*g**3 + 12*g**2 + 32 - 23 - 27*g. Let r be w(-14). Which is the fourth biggest value? (a) 0.07 (b) -0.3 (c) r (d) 2/3
c
Let c be 4/6 + 51/(-63). Suppose 10019 = 224*o - 957. What is the biggest value in o, -0.1, c?
o
Let z = -20/17 + 149/170. Suppose 10 = -2*d - 8*d. Let n be (-7)/(-21) - d*4/6. What is the biggest value in n, z, -3?
n
Let p = -1014 - -3043/3. What is the fourth biggest value in 20, -4, p, 3?
-4
Let a = 26721 + -26720. What is the second biggest value in 2, a, 2/3, 0.1, 5?
2
Let a = 252 - 142. Let n = 115 - a. Let x be ((-16)/30)/(-4) - 0. What is the smallest value in -0.4, n, x?
-0.4
Suppose -4*s - 14 = -3*q, -2*s - 1 = -q + 1. Let r = -13.4 + 13.3. Let f(x) = -x + 12. Let o be f(8). Which is the biggest value? (a) o (b) r (c) q
c
Let r(w) = -w**3 - 2*w**2 + w - 1. Let t be r(-2). Suppose -860 = -399*k + 1534. Which is the third biggest value? (a) k (b) 4/5 (c) t
c
Let a = 633.39 + 15.61. Let t = 653 - a. What is the fourth smallest value in 0, t, -0.1, 12?
12
Let j(t) = -t**3 - 8*t**2 - 19*t + 15. Let p be j(-8). Let h = p - 160. What is the second biggest value in h, 1, 6?
6
Let h = 7117/230 + -309/10. What is the third biggest value in -3, 1/2, h?
-3
Let u = -4.6 - -4.7. Suppose -1 + 7 = 2*q. Let s = -484.6 + 485.3. Which is the smallest value? (a) q (b) u (c) s
b
Let q be 2/20 - (11 + (-342)/30). What is the biggest value in -18, -5/2, q, 7?
7
Let y = 4757 - 4774. Which is the third biggest value? (a) 2 (b) y (c) 0.14
b
Let n(u) = -2*u**3 + 4*u + 6. Let m be n(-1). Let o = 3.8 - -10.2. What is the smallest value in -4, m, o?
-4
Let m = -2652.4 - -2652. What is the second biggest value in 349, m, -1?
m
Let q = 5.9 + 604.1. Let l = -609 + q. Which is the third biggest value? (a) l (b) 4 (c) -2
c
Let v be 10/8 - 2585/2420. Let y = 458 + -454. Which is the third biggest value? (a) 10/7 (b) v (c) -2/5 (d) y
b
Let y = 21328 - 21328.3. What is the fifth smallest value in -1, 0.3, -4/3, y, 99?
99
Let y be -7 + -4 + (-21)/(-2). Which is the third biggest value? (a) 38 (b) -0.3 (c) 4 (d) y
b
Let s = -11141/4 + 2787. Which is the second biggest value? (a) 0.3 (b) 18 (c) s (d) 2/3 (e) -1/3
c
Suppose -5*k = 3*s - 18, -186*k + 11 = -181*k - 4*s. Suppose r = 4*l - 8, -18 = -3*r - 0*l - 2*l. Which is the biggest value? (a) k (b) 13 (c) r
b
Let x = -22649 - -724767/32. Which is the third smallest value? (a) x (b) 4 (c) 0.1 (d) -1 (e) -0.2
a
Let u = -4.79 - -0.79. Let z = -12/719 - -743/1438. Let s be (-2)/(-1) - (17 - -2). What is the third smallest value in s, z, u?
z
Let p = -242.2 + 242. Let w = 0.209 + 3.791. Which is the second smallest value? (a) w (b) -2/11 (c) p
b
Let i = 372905/786 - 201/262. Let l = i - 473. What is the second biggest value in l, -1/5, 0.21?
0.21
Let m = -1.073 - -4.073. Suppose x = 6*x - 375. Let r be -5 + 2 - x/(-27). Which is the biggest value? (a) -0.2 (b) 0.1 (c) r (d) m
d
Let z = 1.1 - 1. Let n = -72152.4 - -72152.1. Which is the second biggest value? (a) z (b) 2/15 (c) n (d) -5
a
Suppose -73*w - 257 = -330. Let c = 0 + 0.2. What is the third smallest value in c, w, -0.9?
w
Let p be -8 + 3632/504 + ((-12)/(-21))/1. Let s = -241/1326 - -5/78. Which is the third smallest value? (a) -1 (b) -3 (c) p (d) s
c
Let s = 75947 + -75949. Let v = -12 - -8. What is the second smallest value in s, -8, v, 7?
v
Let s = 5467 - 174945/32. What is the third smallest value in -1, s, 1/11?
1/11
Let u = -23 + 23.3. Let v be ((-55)/(-25) + -3)/(38/(-5)). Which is the biggest value? (a) u (b) v (c) -1/44
a
Let d = -13 + 13.33. Let f = d + 42.07. Let i = f - 42. What is the third biggest value in i, 0.6, -1/2?
-1/2
Suppose -157*h + 37*h - 51 + 651 = 0. What is the biggest value in -0.1, 3, -14, -1, h?
h
Let s = 0.132 - 5.54. Let g = s + 0.408. Let p = -1/12 - 1/12. What is the third biggest value in g, 2, 1, p?
p
Let v = -112.69 + 116.69. Let l = -14.96 + -0.04. Which is the second smallest value? (a) v (b) 2 (c) l
b
Suppose -15 = 5*z - 0*z. Let y be 60/14 + 8/(-2). Let k(m) = 2379*m - 2365. Let x be k(1). What is the third smallest value in z, x, y?
x
Let m be (-1188)/(-720)*(-25)/15. Let x be ((-1)/2)/(1/2). Let w be x/(-7)*(9 + -5). Which is the smallest value? (a) w (b) -0.2 (c) m
c
Let u = -16.7 - -8.4. Let p = u - -8. Let r = -101.845 + 101.445. Which is the fourth smallest value? (a) p (b) -5 (c) 4 (d) r
c
Suppose 90 = -13*z - 5*z. Let q(x) = -14*x - 76. Let m be q(z). Let w = -2/65 - -3/13. Which is the smallest value? (a) -0.2 (b) w (c) m (d) -4
c
Let m = 4423 + -17691/4. What is the biggest value in -12/7, -3/13, m, -0.5, 5?
5
Let g be (0 - 1)/(-12)*2. Let w = 4121 + -4120.9. Which is the second smallest value? (a) 0 (b) -5 (c) w (d) g
a
Let h = 2 - 1.5. Let i = 2.98566 - 4.98566. Suppose -5 = m - 0*m, 0 = 3*c - 4*m - 20. What is the smallest value in h, c, i?
i
Let h be (-34)/66 + 1/3. Let p be (1/15)/((-329)/(-70) - 5). Let o = -6 - -6. What is the third smallest value in p, h, o?
o
Let p be ((-2)/(-12))/((-7)/(-28)). Let w be (-3)/12 - 15/36. Let r = -13458/16835 - 2/3367. Which is the third smallest value? (a) w (b) 2 (c) p (d) r
c
Let c = -235/308 - -1/77. Let j = 33 - 33.051. Let s = j + -0.049. What is the second smallest value in s, 4, c?
s
Let u be ((-1)/10)/(6/45). Let l = 8.65 + 41.05. Let m = l - 50. Which is the smallest value? (a) -7/5 (b) m (c) u
a
Let m = -12049 + 12048.6. Let s = 4.2 + -4. Which is the second biggest value? (a) 1 (b) m (c) s (d) -3
c
Let q = -641 + 638. Let f = 0.02 - -7.98. What is the third smallest value in f, -1, q?
f
Let n = 15 - 59/4. Let b = -47048/3 + 15683. What is the second smallest value in b, -8, n?
n
Let z be ((-2)/8)/(80/3200*45/6). What is the smallest value in z, 0.16, -420, -1/4?
-420
Let p = 315.44 + -315.43. Which is the second smallest value? (a) p (b) -232 (c) 0.2
a
Let r = -391 - -167. Let g = r - -219. What is the third smallest value in 54, g, -2/3?
54
Let q = -14 + 9. Let t = -58.467 + 58.967. Which is the second smallest value? (a) -2 (b) -4 (c) q (d) t
b
Let d = -3.2 - -1.9. Let s = -1.2 + d. Let a = 18 + -16. What is the smallest value in -1/6, a, s?
s
Let n be 57930/(-16)*(-36)/(-111861). Let r = 2/1381 - n. What is the fourth biggest value in r, -3, 2, -4?
-4
Let w(g) = -g**3 + 23*g**2 - 21*g - 19. Let q be w(22). Let f be -2 - 9/(6804/(-1472)). Let k = 446/5859 - f. What is the third smallest value in k, -1, q?
q
Let d = -76503/11 + 6954. Which is the smallest value? (a) d (b) -0.1 (c) -0.5
a
Let o = 202 + -204.72. Let y = o - -3.02. What is the fourth smallest value in 2/11, -0.2, -1/3, y?
y
Let k = 8.28 + -8. Let r = k + -0.48. Let i = -3.1 + 5.1. Which is the third biggest value? (a) i (b) r (c) 1/5
b
Let o be 3040/(-168) + (-36)/(-2) - (-8)/(-357). What is the third smallest value in o, -2/7, 3/17, 20, -0.1?
-0.1
Let d = -127 - -131. Let v = 15 + -19. Which is the biggest value? (a) d (b) v (c) -8
a
Let l = 18.2 - 20.2. Let i = 138 - 137. What is the biggest value in 5, i, l?
5
Let q = -208.034 + 207.974. Let s = 267.99 + -264. Let z = s - -0.01. Which is the biggest value? (a) z (b) 0.1 (c) q (d) -1/4
a
Let f be (30/(-84))/((-5)/(-60)) - -4. Let o = -6 - -1. What is the third smallest value in -2/5, o, -0.2, f?
f
Let d = -2 + -3. Let z = -210 - 236. Let h = z + 447. Which is the third smallest value? (a) 15 (b) d (c) h
a
Let a = 2.27 - 2.26. What is the smallest value in -2/3, -26, a?
-26
Let u = 1514 - 1514.626. What is the second biggest value in 0.2, 3, u?
0.2
Let h = -52.6 + 5.6. Let a = 49 + h. Let u = -0.07 + -4.93. What is the third smallest value in a, 9, 0.1, u?
a
Let o = 20.87 - 36.3. Let c = o + -0.57. What is the second smallest value in -1/4, c, 5?
-1/4
Let x be ((-3)/(525/20))/(10/(-35)). Which is the smallest value? (a) 3/4 (b) -1 (c) 4 (d) 0 (e) x
b
Let q = 11081 - 11092.9592. Let m = 0.0408 - q. Which is the fourth smallest value? (a) m (b) -2/15 (c) -1 (d) 2/9
a
Let m(o) = -o**3 + 2*o**2 - 1. Let y be m(2). Let z = -16.8 + 2.8. Let x be (-1 - 8/(-5)) + 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
4 = -2*g + 5*g - 5*t, -g + t - 2 = 0. List the prime factors of h(g).
17
Suppose 97 = 5*b - y - 70, -5*b + 171 = -3*y. What are the prime factors of b?
3, 11
Let h = -18 + 31. List the prime factors of h.
13
Suppose -2*j - 788 = -5*r + 2*j, 4*r - 625 = 5*j. Suppose 0*m - r = -5*m. What are the prime factors of m?
2
Suppose -2*p + 12 - 4 = 0. Suppose -p = 4*b - 16. What are the prime factors of b?
3
Let b(u) = 3*u + 1. Let a be ((-5)/(-3))/5*6. What are the prime factors of b(a)?
7
Let q(m) = -2*m - 4. Let w be q(-3). Suppose -r = -w*r. Suppose 4*i + 0*i - 48 = r. List the prime factors of i.
2, 3
Suppose b = -2*s - 4*b + 14, -22 = -s + 5*b. Suppose 2*g - 5 - 7 = -4*k, 0 = 3*g + 4*k - s. Suppose 4*t - 5*t + 8 = g. List the prime factors of t.
2
Let x(d) = 5*d - 1. Let y be ((-1)/1)/(8/(-48)). List the prime factors of x(y).
29
Let b(p) be the third derivative of -2*p**6/15 + p**5/60 + p**4/24 - p**2. Let o = -71 + 70. What are the prime factors of b(o)?
2
Suppose -z - 4 + 82 = 2*k, 4*k - 132 = 4*z. What are the prime factors of k?
37
Let y(m) = 3*m**2 + m. Let c = -1 + 2. Let a be y(c). Suppose 3*x - 33 = 2*r, a*x + 0*r - 55 = -r. What are the prime factors of x?
13
Let g(t) = -t**3 + 4*t**2 - 4*t + 2. Let j be g(2). Suppose -j = -4*v + 6. List the prime factors of v.
2
Suppose -270 = -2*w + 3*p, -2*w = -2*p - 106 - 162. What are the prime factors of w?
2, 3, 11
Suppose -6 = -a + 8. List the prime factors of a.
2, 7
Let u(s) = -s. Let v be 4/(-2) - 8/(-2). Suppose 2*m = -3*h - v, -h + 5*m = -6 + 35. List the prime factors of u(h).
2
Let h(u) = -u**2 - 8*u + 10. Let n be h(-7). Let q = 26 - n. List the prime factors of q.
3
Suppose -5 = -3*l + 10. Suppose l*c - 89 + 14 = 0. List the prime factors of c.
3, 5
Let y(o) = -5*o**2 - 3*o + o**3 + 0*o - 4 - 2. What are the prime factors of y(6)?
2, 3
Let f(i) = 5*i - 1 - 3*i + 2 + 1. What are the prime factors of f(3)?
2
List the prime factors of 2/9 + (-17115)/(-135).
127
Suppose 0 = 3*n - 5*n + 24. Suppose 2*x - 20 = -2*u - 0*x, 3*u - 3*x = n. Suppose 3*r - u*r = 5*m - 24, -3 = -m + r. List the prime factors of m.
2
Let w(q) be the third derivative of 2/15*q**5 + 0 - q**2 - 11/6*q**3 - 1/12*q**4 + 0*q + 1/120*q**6. What are the prime factors of w(-8)?
5
Let u = -5 + 17. Suppose 2*a - 5*y + 44 = -a, 5*a + 4*y = -98. What are the prime factors of (-1 - 20)*u/a?
2, 7
Let z(k) = k**3 + 5*k**2 + 2*k - 3. Suppose -4*i + 22 - 2 = 0. Suppose -3*o + r = -0*r + 11, -5*o - 25 = -i*r. List the prime factors of z(o).
3
Suppose -q + 117 = 27. What are the prime factors of q?
2, 3, 5
List the prime factors of -2 - (-11)/(-3*3/(-63)).
3, 5
Let s = 24 - -26. List the prime factors of s.
2, 5
Let d = 11 - 7. Let g = -7 + d. What are the prime factors of g*1/3*-2?
2
Let k = 2 + -7. Let o = k + 8. List the prime factors of 1 - 0 - (1 - o).
3
List the prime factors of (-2)/(-2) + 1 - -124.
2, 3, 7
Let t(d) = -d**3 - d**2 + 3*d + 3. Let w be t(-2). Let v = w + 2. Suppose v*l - 4*u - 29 = -2*u, 0 = l - 4*u - 13. What are the prime factors of l?
3
Suppose u - 224 = 5*f, 0 = -2*u + 7*f - 8*f + 459. List the prime factors of u.
229
Let p(z) be the third derivative of z**4/12 + z**3/6 - 2*z**2. Suppose 5 = 3*y - 10. What are the prime factors of p(y)?
11
Suppose 0 = c - 4*s - 48, 5*c + 5*s + 36 = 176. What are the prime factors of c?
2
Let n(g) = g**2 - 1. Let p be n(0). Let y = 90 + -73. Let j = y - p. What are the prime factors of j?
2, 3
Let z = 19 - 9. Suppose 3*f = 85 - z. List the prime factors of f.
5
Let x(l) = l**3 + 7*l**2 + l + 9. Let u be x(-7). Suppose -4*m + 3*v = -73, m + 21 = u*m + 2*v. What are the prime factors of m?
19
Let x = -11 + 16. Suppose x*n = 5*w - 90, -5*w - 4*n + 32 = -w. Suppose 5*h = 4*i - 41, -w = -i - i + 5*h. List the prime factors of i.
2, 7
Suppose 0*b - 1 = -b. Let p be 15/(-25) - 13/(-5). List the prime factors of p*(1/2 + b).
3
List the prime factors of (-3 - -2)*-3 - -9.
2, 3
Let s = 2 + 14. List the prime factors of s.
2
Suppose 5*f - 3*z = 297, -2*z - 179 = -f - 2*f. List the prime factors of f.
3, 19
Let n(z) = 4*z. What are the prime factors of n(9)?
2, 3
Let r(k) = -k + 4. List the prime factors of r(-20).
2, 3
Suppose 5*f - 120 = 2*f. List the prime factors of f.
2, 5
Suppose -3*a - 5 = -14. List the prime factors of a.
3
Suppose 2*b - 5*a + 28 = 0, -b = 2*b - 2*a + 20. Suppose 3*k - o = -1, 0*k = -2*k + 2*o + 2. Let d = k - b. List the prime factors of d.
3
Let u = -165 + 245. List the prime factors of u.
2, 5
Let p(l) = l - 1. Let h be p(-1). Suppose 0 = -3*u - 17 - 1. What are the prime factors of (h/u)/(2/42)?
7
Let u(i) = i**2 - 6*i. Let g be u(6). Suppose 3*s - 34 + 13 = g. What are the prime factors of s?
7
Let g be (-102)/(-27) - (-2)/9. Suppose o + 1 = -0*o, 10 = g*b + 2*o. List the prime factors of b.
3
Let r be (-5)/(-10) - 6/(-4). Let g(l) = l. Let c(f) = -1. Let p(a) = r*g(a) + c(a). What are the prime factors of p(4)?
7
Suppose 0 = 5*f + 2*j - 14, -5*f - 3*j + 10 = -3*f. Suppose -5*r + 43 = 3. Suppose 0 = -f*g + r. What are the prime factors of g?
2
Suppose -5*y = 8*a - 3*a - 10, 0 = y + 4. Suppose 96 = a*k - 3*k. Suppose 0 = -5*o + v - 4*v + k, -2*o = 3*v - 20. What are the prime factors of o?
2
Suppose -n - o = -184, 1 + 1 = -o. List the prime factors of n.
2, 3, 31
Let h(i) = 9*i**3 + 2*i**2 - i. Suppose j + 10 = 2*b, -8 = 3*b - 2*j - 24. Suppose 2*y + 3 = 3*u, b*u = u + 3*y + 3. What are the prime factors of h(u)?
2, 5
Suppose 4*i - 973 - 111 = 0. What are the prime factors of i?
271
Suppose -7 = -4*x + 5. Suppose -3*u + 15 + x = 0. What are the prime factors of (2 + 1)/(2/u)?
3
Suppose -3*b - 2*b + 2*k = -67, b = -k + 19. What are the prime factors of b?
3, 5
Let c(t) = -t**2 - 10*t + 0*t - 7 + t. What are the prime factors of c(-6)?
11
Suppose 12*f - 312 = 9*f. List the prime factors of f.
2, 13
Suppose 0*v - 1324 = -4*v. What are the prime factors of v?
331
Suppose -5*j = -2*j - 6. List the prime factors of (j - 1) + -1 + 10.
2, 5
Let j(s) = -3*s**2 + 59 - 4*s + 4*s**2 - 70 - 2*s. What are the prime factors of j(10)?
29
Let s be (1 + (-3)/(-3))/(-2). List the prime factors of (0 + (-6)/3)*s.
2
Let k = 0 + 1. Let m be ((-6)/5)/(k/(-5)). Suppose p + 2 = m. What are the prime factors of p?
2
Let w(b) = 5 - b + b**3 - b**2 - 5*b**2 + 2*b**2. Let a be w(4). Suppose z - a = 2. List the prime factors of z.
3
Suppose -3*v + 12 = -3. Suppose -11 = v*z - 51. Suppose -z = -4*q, q + 32 = 3*x - 4*q. What are the prime factors of x?
2, 7
Suppose 0 = -p + 3*d + 18, 5*p - 76 = 2*d - 12. Suppose -3*s + 1 = -j - 0*s, -4*s = -3*j + p. What are the prime factors of j?
2
Let n(y) = -8*y + 22. What are the prime factors of n(-30)?
2, 131
Let w = -34 - -21. Suppose 5*o + f + 7 = 3*f, 0 = -o - 3*f - 15. Let r = o - w. What are the prime factors of r?
2, 5
Suppose 0*w - 3*r - 71 = -w, 0 = 2*r. What are the prime factors of w?
71
Suppose 3 + 17 = 4*y. Suppose -y*t - 3 = -2*t. What are the prime factors of 1/((2 + t)/8)?
2
Suppose -2*l + 90 = 3*h, -3*l + 61 = 2*h + 1. Let g = h + -19. List the prime factors of g.
11
Let n(l) be the second derivative of -l**4/12 + 5*l**3/6 + l**2/2 + 3*l. What are the prime factors of n(4)?
5
Suppose -2 = -5*l + 3*l. Let y be 2/(l/2*-2). Let p = 9 - y. What are the prime factors of p?
11
Let u = -120 - -173. Let p = -31 + u. What are the prime factors of p?
2, 11
Let n(h) = 2*h**2 - 3*h + 4. Let y be n(4). Suppose -4*q + q = -y. List the prime factors of q.
2
Suppose 5*p + 4*w - 40 = 0, 0 = -0*p + p + 3*w - 19. Let j be (-154)/(-6) + p/(-6). Let a = j + -13. List the prime factors of a.
2, 3
Let h(l) = -l**3 - 9*l**2 - 9*l + 4. Let g be (-1)/3 - 46/6. List the prime factors of h(g).
2, 3
Let q be (-4)/(6/3 + 0). List the prime factors of q - (-11 - 6/3).
11
Let m be -3 + 6 - (0 - -3). Let j(y) = y**2 + y + 14. What are the prime factors of j(m)?
2, 7
Let a be 6/27 + 100/36. What are the prime factors of a/(-2 - 87/(-39))?
13
Let p(d) = 0 + 4 - 4*d**3 + d**3 + 4*d**3 + 11*d + 9*d**2. What are the prime factors of p(-7)?
5
Let y be (-26)/91 + 754/(-7). List the prime factors of -3 - (-3 + y/4).
3
Let m(a) = a**2 + 8*a + 18. What are the prime factors of m(-6)?
2, 3
List the prime factors of 5*5/5*37.
5, 37
Let n(x) = -42*x**3 + x**2 - x - 2. List the
|
{
"pile_set_name": "DM Mathematics"
}
|
ecreasing order.
455, 5, -3, -13, -662
Sort -353, 3, 90 in decreasing order.
90, 3, -353
Put 0.03, 3/4, 9, -1/1014 in decreasing order.
9, 3/4, 0.03, -1/1014
Sort -4, -11, 45, 3550 in decreasing order.
3550, 45, -4, -11
Put 5, 1, 3828, -2, -4, 339 in ascending order.
-4, -2, 1, 5, 339, 3828
Sort -3, 10, 2, 1, 36 in increasing order.
-3, 1, 2, 10, 36
Put 2, 5, 54, 19, 4, -4 in increasing order.
-4, 2, 4, 5, 19, 54
Put 0, -3173, 1, -4, 86 in descending order.
86, 1, 0, -4, -3173
Sort 4, 3, 3881, -11, -18, -5 in descending order.
3881, 4, 3, -5, -11, -18
Sort 5, 2, 25, -10760, 0 in ascending order.
-10760, 0, 2, 5, 25
Sort 502, 51, 15, 0 in ascending order.
0, 15, 51, 502
Put -2, -9, -49, -3, 1, 3, 4 in decreasing order.
4, 3, 1, -2, -3, -9, -49
Sort -3, -6, 0, 5337, -35 in decreasing order.
5337, 0, -3, -6, -35
Put -47, -41, -4, 5 in decreasing order.
5, -4, -41, -47
Sort -0.3, 4/9, -3, 1, 324, 2, -0.4 in increasing order.
-3, -0.4, -0.3, 4/9, 1, 2, 324
Sort -2186, 9/2, 24.
-2186, 9/2, 24
Sort -1, 0, -325, 4, -2, -455.
-455, -325, -2, -1, 0, 4
Put -2/13, -0.231, 2, 1, -4, -1 in ascending order.
-4, -1, -0.231, -2/13, 1, 2
Put -9, 0, -199/5, 8, -3, 2/9 in descending order.
8, 2/9, 0, -3, -9, -199/5
Put -15.6, 2, 0.1, -10, -3/4, -0.3 in descending order.
2, 0.1, -0.3, -3/4, -10, -15.6
Sort -25, -3, -1127416.
-1127416, -25, -3
Put 0, -17.29, -178/15 in descending order.
0, -178/15, -17.29
Sort 16, -2, -3093254, 0 in ascending order.
-3093254, -2, 0, 16
Sort 2, -49/4, -4/7 in decreasing order.
2, -4/7, -49/4
Sort -2, -4/7, -15.9, 3, 5, -14 in ascending order.
-15.9, -14, -2, -4/7, 3, 5
Sort -5, -457, -37, 3, 0 in descending order.
3, 0, -5, -37, -457
Put -3, 338818, 34 in decreasing order.
338818, 34, -3
Sort 5, -6, 14, 64556.
-6, 5, 14, 64556
Sort 0, -5/7, 2.961.
-5/7, 0, 2.961
Put -1.08, 8, 0, 0.5, 0.22 in decreasing order.
8, 0.5, 0.22, 0, -1.08
Sort 4/3, -4, 2, -3.25, -3/2, -2/11 in increasing order.
-4, -3.25, -3/2, -2/11, 4/3, 2
Put -3, 6, -67, -3348 in decreasing order.
6, -3, -67, -3348
Sort 3, 504, -516, -4, -1, 1, 4 in ascending order.
-516, -4, -1, 1, 3, 4, 504
Sort -233357, -8, -2/3 in decreasing order.
-2/3, -8, -233357
Sort -3164.9, 14.5, 0.1 in increasing order.
-3164.9, 0.1, 14.5
Put 4, -6, 5, 3, -120, 45 in descending order.
45, 5, 4, 3, -6, -120
Sort -5, -23, 413, -1/8, 1.3, 0.1.
-23, -5, -1/8, 0.1, 1.3, 413
Sort 49724, -4, -105, 3 in descending order.
49724, 3, -4, -105
Put 16, 2815, 2, -1, 870, -2 in ascending order.
-2, -1, 2, 16, 870, 2815
Put 0, 15, 6291, 3, 19 in increasing order.
0, 3, 15, 19, 6291
Sort 2, -1, 243, -2, -4, 5, -70 in ascending order.
-70, -4, -2, -1, 2, 5, 243
Put 2/9, 19, -2/7, 5, -3, 406/3 in descending order.
406/3, 19, 5, 2/9, -2/7, -3
Sort 1889, 70, 1, 4.
1, 4, 70, 1889
Put -151, -515, -3 in ascending order.
-515, -151, -3
Sort 5, -2436/43, -2, -28 in ascending order.
-2436/43, -28, -2, 5
Put 128, -58, 31, 26 in descending order.
128, 31, 26, -58
Put 8, 30, 802 in decreasing order.
802, 30, 8
Put -282, -5, -301, 9.1 in increasing order.
-301, -282, -5, 9.1
Sort 234, -0.2, -5, -251, 151.
-251, -5, -0.2, 151, 234
Put -4, -1371, -5, 469, -2 in ascending order.
-1371, -5, -4, -2, 469
Put 5, -6, 17, -3, 2, 0, 11 in decreasing order.
17, 11, 5, 2, 0, -3, -6
Sort -10, -173, -3, -5, -2, 5 in increasing order.
-173, -10, -5, -3, -2, 5
Put 7, 3, 49, -28, 2, -5, 18 in decreasing order.
49, 18, 7, 3, 2, -5, -28
Put 3380, -5, 15/14, 0.4, -3 in increasing order.
-5, -3, 0.4, 15/14, 3380
Sort 0.24, -6/46613, 0.
-6/46613, 0, 0.24
Put -7, 8527, 13, 2, 3, 0 in descending order.
8527, 13, 3, 2, 0, -7
Sort -86, -33164, -4 in ascending order.
-33164, -86, -4
Sort -16.3, 2/9, 0.5, 0.2, -28900 in decreasing order.
0.5, 2/9, 0.2, -16.3, -28900
Put -6, 0, -299, 10, 3, 8 in decreasing order.
10, 8, 3, 0, -6, -299
Sort 2, -0.5, 31, 2250 in descending order.
2250, 31, 2, -0.5
Sort 7, -1, 56, -5709 in decreasing order.
56, 7, -1, -5709
Put -2/7, 5, 3, 0, 654, 1, -4 in decreasing order.
654, 5, 3, 1, 0, -2/7, -4
Put 20.7, -4/7, -5, 4, 97, 2/15 in ascending order.
-5, -4/7, 2/15, 4, 20.7, 97
Sort -2/5, 3/5, -0.43, -174, 158 in increasing order.
-174, -0.43, -2/5, 3/5, 158
Put -3, 0.12083861, -2 in decreasing order.
0.12083861, -2, -3
Sort -19, 1.4, 0, 1/25 in increasing order.
-19, 0, 1/25, 1.4
Put -3, 67, 0, -4, 17, -5, 3 in ascending order.
-5, -4, -3, 0, 3, 17, 67
Sort 5, -12, 469, 3, 29, -1.
-12, -1, 3, 5, 29, 469
Put -39002, -3, 1 in increasing order.
-39002, -3, 1
Put -61739, 11, -2, 0 in ascending order.
-61739, -2, 0, 11
Put 3, -2671, -7, 2.19 in increasing order.
-2671, -7, 2.19, 3
Sort -180, 228866, -1.
-180, -1, 228866
Sort -34, 31, -5, 1, -2545.
-2545, -34, -5, 1, 31
Put -2, 2.01, 32/219 in increasing order.
-2, 32/219, 2.01
Sort -3, -9, -4/97, -1764, -5 in descending order.
-4/97, -3, -5, -9, -1764
Sort -4/3, 81, 0.091221 in decreasing order.
81, 0.091221, -4/3
Put -945, 68, -17 in decreasing order.
68, -17, -945
Sort 0.5, 5, -1/4, 0.9858 in decreasing order.
5, 0.9858, 0.5, -1/4
Put 35.02, 5, 1.53, -1 in descending order.
35.02, 5, 1.53, -1
Put 2153.74, 10.1, 5 in decreasing order.
2153.74, 10.1, 5
Sort -1/9, -2.3, 1/7, 0.1, -181629 in decreasing order.
1/7, 0.1, -1/9, -2.3, -181629
Put 50, 0, -5, -16, 1789, -2 in descending order.
1789, 50, 0, -2, -5, -16
Sort -1, 203, -10, -196, -2, 1.
-196, -10, -2, -1, 1, 203
Sort 1.83, -4466, 0.4.
-4466, 0.4, 1.83
Sort -26868, -344, 0 in descending order.
0, -344, -26868
Sort 0.072, -1/10, 212, 15, -4 in decreasing order.
212, 15, 0.072, -1/10, -4
Put 1, -5, -1, -4, 7, -89, -74 in descending order.
7, 1, -1, -4, -5, -74, -89
Put -117, 0, -10, 3, -7 in descending order.
3, 0, -7, -10, -117
Sort 679, -9671, -4.
-9671, -4, 679
Sort 18, -1784, 3/16 in ascending order.
-1784, 3/16, 18
Put -0.010881, -0.1, -1262 in decreasing order.
-0.010881, -0.1, -1262
Put 1251, 93, -7, -5, 1, 2 in increasing order.
-7, -5, 1, 2, 93, 1251
Put -939/4, -102, -1/48 in descending order.
-1/48, -102, -939/4
Sort -1, 18, 297166, 1 in decreasing order.
297166, 18, 1, -1
Sort 2, 5, -74, 8, -1, -18, -5 in increasing order.
-74, -18, -5, -1, 2, 5, 8
Put -3, -35495/84, 6.5, -4 in ascending order.
-35495/84, -4, -3, 6.5
Sort 34, 161, -64, -3 in descending order.
161, 34, -3, -64
Put 3, -874, -2, 4.18 in decreasing order.
4.18, 3, -2, -874
Put -151, -3118865, 1 in decreasing order.
1, -151, -3118865
Sort 2, -3, 704, 3, -5, -353, 5.
-353, -5, -3, 2, 3, 5, 704
Put 45090, -0.14, 8/21 in increasing order.
-0.14, 8/21, 45090
Put -0.3, 0, -50.015 in descending order.
0, -0.3, -50.015
Put 1/2, -6282, -7.4, -3, 4, 0, 5 in decreasing order.
5, 4, 1/2, 0, -3, -7.4, -6282
Sort -4, -69, 65423 in decreasing order.
65423, -4, -69
Put 2, 76, 4, -7, 3, -404 in ascending order.
-404, -7, 2, 3, 4, 76
Sort -2, -5511, -3, 4, -1, 51 in decreasing order.
51, 4, -1, -2, -3, -5511
Sort -13, -5.05, -30.
-30, -13, -5.05
Put -46, 0, 1095408 in decreasing order.
1095408, 0, -46
Put 11, -2, -1, 88046, 1 in decreasing order.
88046, 11, 1, -1, -2
Put 19, 604, -1, 141, -5 in decreasing order.
604, 141, 19, -1, -5
Put 6, -2, -1, 1283, 0, 24 in increasing order.
-2, -1, 0, 6, 24, 1283
Sort -7, 2/9, -0.2, 3, 2/5, -23486.
-23486, -7, -0.2, 2/9, 2/5, 3
Put -688, -1, -1079 in decreasing order.
-1, -688, -1079
Sort 1, -2/3, 18/11, 3712, 19, -4 in decreasing order.
3712, 19, 18/11, 1, -2/3, -4
Put 7, -555, 2, -1, 4, -0.2 in descending order.
7, 4, 2, -0.2, -1, -555
Sort 0.1, -9.7, -0.1, 85, 2/9, 1/2.
-9.7, -0.1, 0.1, 2/9, 1/2, 85
Put -0.45394, 2/203, 2.3 in decreasing order.
2.3, 2/203, -0.45394
Put 3, -174, -912367 in decreasing order.
3, -174, -912367
Put 1, -53, 503, -3, -5 in decreasing order.
503, 1, -3, -5, -53
Sort 20, -6, 0.5, 37832, -2/5.
-6, -2/5, 0.5, 20, 37832
Sort -21, -3, -19134, 4 in decreasing order.
4, -3, -21, -19134
Put 43440, -26, 5 in descending order.
43440, 5, -26
Put -343789, 2/21, 0.26 in ascending order.
-343789, 2/21, 0.26
Sort -63, 20, 0, 12754 in descending order.
12754, 20, 0, -63
Sort 1, -3, 155/3, 0.03 in descending order.
155/3, 1, 0.03, -3
Sort -24, 46571, 5.
-24, 5, 46571
Sort -14/31, -86121, 2 in ascending order.
-86121, -14/31, 2
Put 686, 2, 77, 0 in ascending order.
0, 2, 77, 686
Put -4, 0, -3049881, 5, -1 in in
|
{
"pile_set_name": "DM Mathematics"
}
|
a) = 2*a - 7. Let p(t) = 7*l(t) + 4*z(t). Determine q(p(m)).
11*m
Let c(q) = -6*q. Let l be ((-266)/399)/((-2)/9). Let d(j) be the second derivative of 2*j + 0*j**2 - 1/2*j**l + 0. What is d(c(r))?
18*r
Let h(x) = 35*x - 1. Let o(j) = -40*j**2 + 5*j**2 - 15*j**2 + 114*j**2. What is o(h(t))?
78400*t**2 - 4480*t + 64
Let v(q) = 1995*q**2. Let x(f) = -4*f**2 + 3*f**2 - 2116993*f + 2116993*f. Calculate x(v(a)).
-3980025*a**4
Let c(u) = -3*u**2. Let v(p) be the second derivative of 133*p**6/360 + 5*p**3/6 + 3*p**2/2 - 2*p - 7. Let h(w) be the second derivative of v(w). Give c(h(k)).
-53067*k**4
Let q(x) be the first derivative of -11/2*x**2 + 0*x - 16. Let n(j) = j. Give q(n(w)).
-11*w
Let v be -10 + 8140 - -2*(-3)/(-6). Let f(q) = 8131 - v + 5*q**2. Let i(l) = 6*l - 3. Let o(s) = -5*s + 2. Let b(z) = -2*i(z) - 3*o(z). Calculate f(b(r)).
45*r**2
Let q(j) = 2200*j**2. Let r(y) = -57274*y. Give q(r(i)).
7216684367200*i**2
Let w(t) = 3*t. Let v(i) = -2*i**2 + 103580*i. Determine v(w(y)).
-18*y**2 + 310740*y
Let u(f) = -2113558*f + 1 + 2113559*f - 1. Let a(s) = 728*s. Determine a(u(w)).
728*w
Let y(k) = -17*k. Let i(f) = 32*f - 38*f + 47*f + 41*f. Determine i(y(j)).
-1394*j
Let x(m) = 2*m**2. Let d(g) = 2*g**2 - 190312053*g. Determine d(x(b)).
8*b**4 - 380624106*b**2
Let f(a) = -6*a**2 + 5*a + 30. Let v(i) = i**2 - i + 1. Let y(n) = f(n) + 5*v(n). Let m(o) = 18*o + 23*o - 65*o + 21*o. Calculate m(y(j)).
3*j**2 - 105
Let w(f) = -265*f + 2. Let o(q) = -83*q**2 + 28*q - 2. Determine w(o(g)).
21995*g**2 - 7420*g + 532
Let l(q) be the first derivative of q**3/3 - 12. Let v(m) = -3*m + 7. Let u be v(-4). Let k(c) = 3 + u*c**2 - 8*c**2 - 3. Calculate k(l(s)).
11*s**4
Let f(q) = -7*q. Let k(p) be the second derivative of -1 - 3*p + 0*p**3 + 0*p**2 + 1/6*p**4. What is f(k(b))?
-14*b**2
Let k be 11 + -4 + -2 + 491. Let f(t) = -492*t - k*t + 991*t. Let u(n) = 12*n**2. What is f(u(h))?
36*h**2
Let m(s) be the third derivative of -s**8/10080 + s**5/30 + 5*s**3/2 - 146*s**2. Let z(n) be the third derivative of m(n). Let w(q) = 48*q - 1. What is w(z(a))?
-96*a**2 - 1
Let b(a) = -14 - 6 - a**2 + 6*a + 20. Let y(q) = -6*q**2 + 34*q. Let d(h) = -34*b(h) + 6*y(h). Let f(v) = 61*v. Calculate f(d(t)).
-122*t**2
Let j(k) = -67 - 70 + 2*k + 137. Suppose 0 = 4*c - 6 - 6. Let n(u) = 0*u + 3*u + 18*u**2 - c*u. Determine n(j(g)).
72*g**2
Let z(f) = -2*f**2. Let m = -3 + 21. Suppose -7*j + m = -4*j. Let r(x) = -2*x + 7*x - j*x. Determine r(z(c)).
2*c**2
Let y(j) = -3*j. Let c(k) = 20*k - 3. Let r(o) = 44*o - 8. Let l(p) = -11*c(p) + 4*r(p). What is y(l(a))?
132*a - 3
Let v(k) = 4*k**2. Let p(a) be the first derivative of -2553*a**2/2 + 7349. Determine p(v(u)).
-10212*u**2
Let g(n) = 2*n. Let z(p) = -p**2 - 13*p - 24. Let j be z(-10). Let t(l) = -j*l**2 - 16*l**2 + 2 + 10*l**2 - 4*l**2. Give g(t(u)).
-32*u**2 + 4
Let r(s) = 106*s**2 - 3*s. Let c(h) = -406 - h**2 - 408 + 1218 - 404. What is r(c(z))?
106*z**4 + 3*z**2
Let j = 1 - -253. Suppose j = 5*x + 4*o, -3*x + 5*o + 56 = -126. Let n(i) = -54 + 4*i**2 + x. Let a(d) = 3*d. Determine a(n(c)).
12*c**2
Let t be 12/(-20) - 36/15. Let r(j) = j - 3. Let u(l) = 3*l - 8. Let c(b) = t*u(b) + 8*r(b). Let g(i) be the first derivative of 3*i**3 + 219. What is g(c(x))?
9*x**2
Let i(g) = -11490311*g. Let v(n) = -6*n**2. Determine v(i(a)).
-792163481260326*a**2
Let y(w) = 293*w**2. Let f(s) = 2*s**2 + 401*s - 5. What is f(y(k))?
171698*k**4 + 117493*k**2 - 5
Let m(k) = -6*k + 10480926. Let p(q) = 4*q. Determine p(m(t)).
-24*t + 41923704
Let n(t) = 523*t. Let b(m) be the first derivative of 2*m**3 - 64. Give n(b(h)).
3138*h**2
Let d(q) = 5*q**2. Let t(y) = -y**2 - 6*y + 137. Let k be t(-15). Let l(u) = -4434 + 4434 + 7*u**k. What is d(l(f))?
245*f**4
Suppose 11*a = 64 + 68. Suppose 3*p = 3*y + a, 3*p + 2*y + 0 = 2. Let u(f) = -2*f**2 - f**2 + 2*f**p. Let j(d) = 2*d + 4. What is j(u(z))?
-2*z**2 + 4
Let i(y) = 15*y. Let b(r) = -12*r. Let k(l) = -26*l. Let n(w) = -9*b(w) + 4*k(w). Give i(n(x)).
60*x
Let n(b) = 34*b**2 + 2. Suppose -w + 2 = 3*v, -4*v - 44 = -5*w - 15. Let i(h) = 3*h - w*h + 23 - 23. Calculate i(n(j)).
-68*j**2 - 4
Let l(c) = 12 + 20 - 32 - 2*c**2. Let o(y) = -y**2 + 104. Give o(l(p)).
-4*p**4 + 104
Let i(a) = 274682*a**2. Let d(z) = 28*z. Calculate i(d(p)).
215350688*p**2
Let y(i) = 2*i + 65 - 65. Suppose -2*w + 7*w + 3*t = 5900, -2*w - 4*t + 2374 = 0. Let v(b) = 1177 + 17*b**2 - w. Determine v(y(p)).
68*p**2
Let n(b) = -6329*b. Let o(h) = -7*h + 15. Let k(r) = -16*r + 35. Let i(c) = -3*k(c) + 7*o(c). Give i(n(m)).
6329*m
Let h(p) = 3*p. Let k(a) = 3317750*a**2. Determine k(h(u)).
29859750*u**2
Suppose c = -c - 10. Let y(m) = -m - 7 + 9*m + 0*m + 2 + 0*m. Let h(o) = 8*o - 6. Let n(f) = c*h(f) + 6*y(f). Let q(z) = 6*z**2. Give n(q(x)).
48*x**2
Let v(a) = -a**2 - a. Let r(z) = -15*z**2 - 18*z. Let y(u) = -r(u) + 18*v(u). Let k = 0 + 2. Let p(m) = -m**2 - m**k + 0*m**2 + 0*m**2. Calculate y(p(g)).
-12*g**4
Let o(t) = -4286*t + 2. Let q(s) = 82*s**2. Give o(q(c)).
-351452*c**2 + 2
Let p(c) = -c**3 + 4*c**2 - 19*c - 23. Let a be p(-13). Let t(k) = a - 3097 + k**2. Let s(l) = 4*l - 2*l + 0*l - 4*l. Determine s(t(m)).
-2*m**2
Let w(o) be the third derivative of o**4/24 - 31*o**3/3 - 2205*o**2. Let f(m) = 7*m**2. What is w(f(l))?
7*l**2 - 62
Let j(b) = -2*b + 4. Let o(m) = 4*m - 10. Let w(t) = 5*j(t) + 2*o(t). Let n(p) be the second derivative of -p**4/4 + 11*p**2/2 + 6*p. Give w(n(f)).
6*f**2 - 22
Let n(w) = -2*w - 4. Let i(l) = 5*l + 14. Let h(y) = 2*i(y) + 7*n(y). Let z(f) = 263*f + 254*f - 528*f. Determine h(z(j)).
44*j
Let p be 4/10 + 1560/100. Let s be (-4)/p + (2 - (-4)/16). Let z(x) = -5*x**s + 5*x**2 + x**2. Let m(r) = 10*r. What is m(z(w))?
10*w**2
Let v(i) = -549 - 553 + 1102 - 2*i. Let w(h) be the third derivative of -h**4/24 - 17*h**3/6 - 13*h**2. What is w(v(y))?
2*y - 17
Let p(b) = -1304724097 + 378*b + 1304724097. Let q(d) be the second derivative of d**3/3 + d. Calculate q(p(g)).
756*g
Let v(f) = -2*f. Let h(x) = 69690444*x. Calculate h(v(o)).
-139380888*o
Let i(t) = 5*t + 5. Let y(m) = 13*m + 4. Let s(l) = -49*l - 14. Let p(q) = 2*s(q) + 7*y(q). Determine i(p(h)).
-35*h + 5
Let m(s) = 7*s. Let t(c) = -c. Let w be ((-3)/9)/((-1)/6). Let q(v) = v - w*v + 7*v - 5*v. Let a(y) = -2*q(y) - 5*t(y). Determine m(a(h)).
21*h
Let l(t) = 5*t + 12 - 2*t - 5 + 9 - 22. Let b(a) = -a**2. What is b(l(w))?
-9*w**2 + 36*w - 36
Let z(o) = -15*o. Let g(q) be the first derivative of -3/2*q**2 - 7*q + 23. Let w(x) = x + 2. Let a(l) = 4*g(l) + 14*w(l). Give z(a(m)).
-30*m
Let t(a) be the second derivative of 39*a + 2 + 0*a**3 + 1/12*a**4 + 0*a**2. Let p(g) = 9*g**2. Give t(p(u)).
81*u**4
Let o(y) = 2*y - 219. Let p(t) = 802*t + 3. What is p(o(f))?
1604*f - 175635
Let i(w) = -2*w. Let r(x) = 141*x**2 - 8*x + 2. Let d(m) = -566*m**2 + 36*m - 9. Let p(z) = -2*d(z) - 9*r(z). Calculate p(i(q)).
-548*q**2
Let x(l) = -4524*l**2. Let j(y) = 424*y**2. Determine x(j(u)).
-813306624*u**4
Let d(o) = -2*o. Let p(q) be the third derivative of 43*q + 2*q**2 + 0*q**3 + 0 + 101/24*q**4. Give p(d(v)).
-202*v
Let l(b) = -8*b**2 + 2. Let g(m) = 99*m**2 - 25. Let s(k) = 2*g(k) + 25*l(k). Let z(y) = -y**2 - 7*y. Calculate z(s(i)).
-4*i**4 + 14*i**2
Let o(h) = -28*h - 8. Let j(a) = 31*a + 6. Let b(x) = 4*j(x) + 3*o(x). Let d(w) be the first derivative of 4 - 17*w**2 + 8*w**2 + 10*w**2. Calculate d(b(l)).
80*l
Let k(d) = 45*d - 12*d - 10*d - 24*d. Let s(m) = -3786*m. What is s(k(u))?
3786*u
Let w be (-2)/7 + (-141)/(-420) + 9/(-180). Let u(c) be the third derivative of -8*c**2 + 5/12*c**4 + 0 + w*c**3 + 0*c. Let y(b) = -4*b**2. What is u(y(n))?
-40*n**2
Let k(q) = 2 - 199*q**2 + 6 + 235*q**2 + 7 + 30*q. Let m(z) = -5*z**2 - 4*z - 2. Let b(j) = 2*k(j) + 15*m(j). Let c(y) = -2*y**2 - 14*y. What is b(c(l))?
-12*l**4 - 168*l**3 - 588*l**2
Let c(s) = -12854969*s. Let b(a) = 5*a. Determine b(c(q)).
-64274845*q
Let k(c) = 2*c**2. Let p(z) = 74*z - 147. Let b(g) = -149*g + 330. Let j(t) = 4*b(t) + 9*p(t). Determine j(k(s)).
140*s**2 - 3
Let n(l) be the second derivative of 13*l**4/24 + 17*l**2/2 - l + 9. Let v(w) be the first derivative of n(w). Let m(b) = -2*b. Calculate m(v(g)).
-26*g
Let n(c) = -2*c**2. Let q(y) = 71*y - 27. Let x(j) = 21*j - 8. Let z(s) = -2*q(s) + 7*
|
{
"pile_set_name": "DM Mathematics"
}
|
to the power of 1/9, to the nearest integer?
3
What is the cube root of 619 to the nearest integer?
9
What is the third root of 50210 to the nearest integer?
37
What is 859 to the power of 1/3, to the nearest integer?
10
What is the cube root of 1165 to the nearest integer?
11
What is the square root of 8377 to the nearest integer?
92
What is the sixth root of 5828 to the nearest integer?
4
What is 1693 to the power of 1/2, to the nearest integer?
41
What is 14635 to the power of 1/2, to the nearest integer?
121
What is 5821 to the power of 1/7, to the nearest integer?
3
What is the third root of 96272 to the nearest integer?
46
What is the sixth root of 10944 to the nearest integer?
5
What is 1131 to the power of 1/3, to the nearest integer?
10
What is the eighth root of 30802 to the nearest integer?
4
What is 14394 to the power of 1/2, to the nearest integer?
120
What is 8478 to the power of 1/2, to the nearest integer?
92
What is 4242 to the power of 1/5, to the nearest integer?
5
What is 885 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 86805 to the nearest integer?
7
What is the third root of 663 to the nearest integer?
9
What is 15921 to the power of 1/3, to the nearest integer?
25
What is the square root of 71984 to the nearest integer?
268
What is the square root of 78259 to the nearest integer?
280
What is 42220 to the power of 1/4, to the nearest integer?
14
What is 117088 to the power of 1/2, to the nearest integer?
342
What is the fourth root of 2354 to the nearest integer?
7
What is the fifth root of 605 to the nearest integer?
4
What is the third root of 1152 to the nearest integer?
10
What is 26758 to the power of 1/7, to the nearest integer?
4
What is the eighth root of 98643 to the nearest integer?
4
What is 7712 to the power of 1/2, to the nearest integer?
88
What is 105104 to the power of 1/3, to the nearest integer?
47
What is 1407 to the power of 1/3, to the nearest integer?
11
What is the ninth root of 666 to the nearest integer?
2
What is the eighth root of 28520 to the nearest integer?
4
What is 75 to the power of 1/2, to the nearest integer?
9
What is the square root of 1802 to the nearest integer?
42
What is the square root of 510 to the nearest integer?
23
What is the third root of 83 to the nearest integer?
4
What is the third root of 795 to the nearest integer?
9
What is 4691 to the power of 1/10, to the nearest integer?
2
What is the cube root of 5808 to the nearest integer?
18
What is the square root of 209 to the nearest integer?
14
What is the third root of 103 to the nearest integer?
5
What is 1825 to the power of 1/10, to the nearest integer?
2
What is 964 to the power of 1/5, to the nearest integer?
4
What is the square root of 338 to the nearest integer?
18
What is 70206 to the power of 1/5, to the nearest integer?
9
What is 4562 to the power of 1/2, to the nearest integer?
68
What is 35320 to the power of 1/9, to the nearest integer?
3
What is 1136 to the power of 1/4, to the nearest integer?
6
What is 3920 to the power of 1/3, to the nearest integer?
16
What is the tenth root of 30028 to the nearest integer?
3
What is 74331 to the power of 1/2, to the nearest integer?
273
What is the square root of 80971 to the nearest integer?
285
What is 5480 to the power of 1/9, to the nearest integer?
3
What is 1468 to the power of 1/9, to the nearest integer?
2
What is the cube root of 19308 to the nearest integer?
27
What is the square root of 873 to the nearest integer?
30
What is the third root of 294 to the nearest integer?
7
What is the square root of 102566 to the nearest integer?
320
What is 6441 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 1746 to the nearest integer?
3
What is 3695 to the power of 1/2, to the nearest integer?
61
What is the third root of 60121 to the nearest integer?
39
What is the cube root of 2110 to the nearest integer?
13
What is 44869 to the power of 1/2, to the nearest integer?
212
What is 28652 to the power of 1/2, to the nearest integer?
169
What is the square root of 3203 to the nearest integer?
57
What is 226 to the power of 1/2, to the nearest integer?
15
What is 45216 to the power of 1/9, to the nearest integer?
3
What is the square root of 6619 to the nearest integer?
81
What is 13408 to the power of 1/3, to the nearest integer?
24
What is 19120 to the power of 1/3, to the nearest integer?
27
What is 407 to the power of 1/2, to the nearest integer?
20
What is the third root of 471 to the nearest integer?
8
What is the fifth root of 4404 to the nearest integer?
5
What is the square root of 8913 to the nearest integer?
94
What is 71478 to the power of 1/10, to the nearest integer?
3
What is the square root of 1127 to the nearest integer?
34
What is the cube root of 4636 to the nearest integer?
17
What is the third root of 4490 to the nearest integer?
16
What is the third root of 18658 to the nearest integer?
27
What is the third root of 40927 to the nearest integer?
34
What is the tenth root of 21120 to the nearest integer?
3
What is 9936 to the power of 1/2, to the nearest integer?
100
What is the fifth root of 30637 to the nearest integer?
8
What is the tenth root of 2661 to the nearest integer?
2
What is the cube root of 1374 to the nearest integer?
11
What is 89268 to the power of 1/2, to the nearest integer?
299
What is the seventh root of 3981 to the nearest integer?
3
What is 52021 to the power of 1/2, to the nearest integer?
228
What is 10266 to the power of 1/3, to the nearest integer?
22
What is the square root of 159 to the nearest integer?
13
What is 5767 to the power of 1/2, to the nearest integer?
76
What is 3593 to the power of 1/5, to the nearest integer?
5
What is the cube root of 25459 to the nearest integer?
29
What is the third root of 624 to the nearest integer?
9
What is the square root of 1036 to the nearest integer?
32
What is the square root of 6818 to the nearest integer?
83
What is 34819 to the power of 1/2, to the nearest integer?
187
What is the tenth root of 811 to the nearest integer?
2
What is the third root of 20577 to the nearest integer?
27
What is the third root of 236 to the nearest integer?
6
What is the third root of 123668 to the nearest integer?
50
What is 5882 to the power of 1/3, to the nearest integer?
18
What is 2073 to the power of 1/2, to the nearest integer?
46
What is 2541 to the power of 1/3, to the nearest integer?
14
What is 21925 to the power of 1/7, to the nearest integer?
4
What is 43241 to the power of 1/3, to the nearest integer?
35
What is 8289 to the power of 1/3, to the nearest integer?
20
What is 3330 to the power of 1/2, to the nearest integer?
58
What is 1846 to the power of 1/9, to the nearest integer?
2
What is the square root of 3332 to the nearest integer?
58
What is 368 to the power of 1/2, to the nearest integer?
19
What is the cube root of 43712 to the nearest integer?
35
What is 31003 to the power of 1/2, to the nearest integer?
176
What is the square root of 536 to the nearest integer?
23
What is 20286 to the power of 1/10, to the nearest integer?
3
What is 2698 to the power of 1/6, to the nearest integer?
4
What is 36198 to the power of 1/5, to the nearest integer?
8
What is 606 to the power of 1/2, to the nearest integer?
25
What is the square root of 10921 to the nearest integer?
105
What is the seventh root of 11097 to the nearest integer?
4
What is the cube root of 85459 to the nearest integer?
44
What is 3647 to the power of 1/2, to the nearest integer?
60
What is the square root of 20221 to the nearest integer?
142
What is the fifth root of 1094 to the nearest integer?
4
What is the fifth root of 906 to the nearest integer?
4
What is the square root of 1383 to the nearest integer?
37
What is the square root of 707 to the nearest integer?
27
What is 3350 to the power of 1/3, to the nearest integer?
15
What is the third root of 7795 to the nearest integer?
20
What is 551 to the power of 1/4, to the nearest integer?
5
What is 1952 to the power of 1/4, to the nearest integer?
7
What is the cube root of 39953 to the nearest integer?
34
What is 16957 to the power of 1/8, to the nearest integer?
3
What is the square root of 106453 to the nearest in
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 5*b - 2*w = -12, 3*w - 8 = 2*b - 1. Let f be b - 0 - (-3 - -5). Let o = 47.53 - 42.53. What is the fourth biggest value in -1/2, -3/5, f, o?
f
Let g = 125 + -124.921. Let b = g + -0.179. Let m = 15.7 + -16. What is the second smallest value in 1/2, m, -2, b?
m
Let l = 63 - 112. Let j = l - -47. Suppose 8 = 3*p + 4*u, -p - 5*u - 1 = -0*p. What is the smallest value in p, -0.3, j, -4?
-4
Let n = 0.682 - 0.782. Which is the fifth smallest value? (a) 5 (b) -2 (c) 7/5 (d) n (e) -5
a
Let g = 4875 - 4909. Which is the fourth biggest value? (a) -3 (b) 3 (c) 2 (d) g (e) -4
e
Let f = -0.04 + -0.16. Let n be ((341/429)/31)/((-4)/24*-1). What is the biggest value in 181, f, -3, n?
181
Let r be (-19)/((-95)/21) + 4/5. Let v be (-6)/r*(-12 - 93/(-9)). Let y = -4.4 - -22.4. Which is the third smallest value? (a) v (b) y (c) 3
b
Let f be (2 - (9 + -4)) + (-12783)/(-4266). Let z = 38635/133668 - f. Let g = z + -2/47. What is the third smallest value in -0.2, g, 5?
5
Let r = -1/43401 + -14465/86802. What is the smallest value in -0.1, 8, r, -1, 2?
-1
Suppose 63*s = 59*s - 3*v + 14, 2 = 2*s - v. Which is the third smallest value? (a) -158 (b) 0 (c) s (d) -2
b
Let n be ((-45)/(-10))/(6/2). Let y = 4.4 + 18.2. Let w = 23 - y. Which is the fourth biggest value? (a) n (b) -2 (c) w (d) -1.3
b
Let k = -2/1787 - -3584/8935. What is the smallest value in -0.43, 4, k?
-0.43
Let y = -1787 + 1848. Which is the third biggest value? (a) y (b) -0.6 (c) 3
b
Let x = -607 + 611. Let k = -431 - -428. Which is the second smallest value? (a) 5.9 (b) k (c) x
c
Let g = 1.1024 + -2.9324. What is the smallest value in -1, -0.2, g?
g
Let s = -2.2 + 2.4. Let i be ((-1640)/6)/5 - 2/6. Let g = i - -56. Which is the third biggest value? (a) s (b) g (c) 0.5 (d) -0.1
a
Let k = -1/21 + -2/21. Let x = -614.9915 + 615. Let i = x + -1.0085. What is the second smallest value in -23, i, k?
i
Let m = 8.6 - 9.7. Let t = -2.9 + m. What is the second biggest value in t, -1/3, 5?
-1/3
Let b be (21/70)/((-6)/50) + (-2099)/(-842). What is the smallest value in 3, 0.01, b?
b
Let d be ((-94)/(-1128))/(12/(-32)*(-1 - 1)). Let q = 1 - 2. What is the biggest value in 2/5, d, -2/41, q?
2/5
Let r = 2855 + -2855. What is the fourth biggest value in -1, 0.3, -18, r, -4/3?
-4/3
Let t = 0.98 + -0.68. Let n = 73 + -70. What is the second biggest value in t, -2, 0.5, n?
0.5
Let h = 11 - 8. Let m = -84.38 + 83.88. What is the second biggest value in -6/7, m, -3, h?
m
Let f = -0.62 - 227.38. Let m = f - -221. Which is the second smallest value? (a) -0.8 (b) m (c) 1
a
Let y be (-486)/54 - (-14)/2. Let p be ((-533)/(-82))/((-1)/y). What is the smallest value in 0.3, 0.7, p?
0.3
Let q = 372 + -371.955. Let a = -0.455 - q. What is the second smallest value in -2, -5, -1/4, a?
-2
Let z = -15.93 - -15.98. Which is the third smallest value? (a) z (b) -4 (c) 31
c
Let l = 0.3851 + -0.1851. What is the second biggest value in 2, -3/4, l?
l
Let g be 8/(-52) - 332/(-130). Let v be -1*((-4)/18 + (-17 - (-346)/18)). Which is the smallest value? (a) v (b) g (c) 2/7
a
Let v = -5.928 + 6.028. Which is the smallest value? (a) 2 (b) -4 (c) v (d) -1.1 (e) 3/4
b
Suppose -2850 = -4*z + 51*k - 53*k, z = k + 717. Let c be 7 - z/78 - -2. Suppose -3*f + 6 = -6. What is the fourth smallest value in -1/5, -2, c, f?
f
Let d = -316 + 459. Let o = -142.972 + d. Which is the second smallest value? (a) o (b) -2 (c) -2/7
c
Let g be -13 - (23 + (-6699)/187). Which is the fourth biggest value? (a) g (b) -0.2 (c) -1/4 (d) 1
c
Let t = -2.3418 - 0.6582. Let y = -0.03 + 0.33. Let v = -55 - -47. What is the biggest value in t, y, v?
y
Let j = -21864 + 21807. Which is the third smallest value? (a) -23 (b) j (c) -4/3
c
Let f = -20794/3 - -6866. Let q = f - -66. Which is the third biggest value? (a) q (b) -0.9 (c) -3 (d) 2
b
Let x = 2 + -1. Let r be (13 - (1 + 4)) + -6. Let y be ((-3)/(-21))/(r/6). What is the smallest value in 0.4, -2/3, x, y?
-2/3
Let q = -24662 - -24661.956. Which is the fourth biggest value? (a) 0.5 (b) q (c) -3/8 (d) 2/47
c
Let y = 237/49 + -621/98. What is the third smallest value in 49, 0.3, y?
49
Suppose 0 = t - 3*i + 30, 5*i - 2*i = -t - 18. Let p be (-6)/30*(-45)/t. What is the fourth smallest value in 4/5, -1/2, p, -9?
4/5
Let y be ((2 - 4) + 2/3)*141/(-376). Which is the smallest value? (a) y (b) -0.7 (c) -5 (d) 0.3 (e) -1
c
Suppose -5*p = -0*p + 60. Let w = 156 + -147. Let d = w - 5. Which is the third biggest value? (a) p (b) d (c) 3
a
Let p = -68 + 68. Let r = -3.05 + 2.55. Which is the fourth smallest value? (a) p (b) -3 (c) r (d) 12
d
Let y = 3407.3 - 3407. Which is the second biggest value? (a) -2 (b) -0.29 (c) y (d) -0.08
d
Let w = 31.8 + -30.49. Let q = w + 0.69. Let v(l) = -3*l - 17. Let s be v(-7). Which is the second smallest value? (a) -0.2 (b) 1/5 (c) q (d) s
b
Let y = -2502.5 + 2502. Which is the second biggest value? (a) -16 (b) y (c) 4 (d) 2/19 (e) -2/7
d
Let i = -23.05 - -23. Let t = i - -5.45. Let p = -5 + t. Which is the fourth smallest value? (a) -1/4 (b) -3 (c) -4 (d) p
d
Let k be 123/164 + 3/(-4). Which is the third smallest value? (a) 2/9 (b) -0.2 (c) 0.3 (d) 17 (e) k
a
Let u = -3021 + 3026. Which is the smallest value? (a) 2 (b) u (c) 4 (d) -2 (e) 0.2
d
Let l = 1100 + -699. Let s = l - 2006/5. Which is the biggest value? (a) -3/2 (b) 56 (c) s
b
Let y = 27.8 - 28. Let g = -46.66 - -47. Let w = g + 0.66. What is the smallest value in y, w, -5, 3?
-5
Let j = -51 - -50.951. Let w = 20216 - 20214. What is the smallest value in j, -2/9, w, 4?
-2/9
Let w = -11/431 + -653/8189. Which is the second biggest value? (a) 51 (b) 5.8 (c) w
b
Let g = -10/1163 - 3449/4652. Which is the second biggest value? (a) 12 (b) g (c) 1 (d) 4
d
Let i = 2236 - 2459. Which is the third biggest value? (a) -5 (b) -3 (c) 2/13 (d) i
a
Let g = 0.114 - 1.114. Let u = -1297/4 - -325. Which is the third biggest value? (a) u (b) 0.04 (c) g
c
Let t be -6*(-44)/(-56) - 18/63. Let s = -6 + -1. Let p = -2 - s. Which is the biggest value? (a) p (b) -1/8 (c) t
a
Let w = 0.0969 + 0.3181. Which is the second smallest value? (a) 1/3 (b) w (c) 0.02
a
Let v be (-83 - -100)/((-1096)/46). Let t = v - 5/137. Let j = 1.04 + -1. What is the second smallest value in 0.3, j, t?
j
Let w = 364277/11 + -33116. Which is the fourth biggest value? (a) -2/11 (b) -0.5 (c) w (d) -4
d
Let u = -310.6732 + -0.1268. Let x = -311 - u. Let h = -0.1 + 0. What is the biggest value in h, 2, 2/3, x?
2
Let q = -503 + 263. Let l = q - -239.6. What is the fourth smallest value in l, 2/9, -6, -5?
2/9
Let y = 12.64 + 0.36. Let s = -14 + y. Let m = -4.8 - -4.4. Which is the third smallest value? (a) m (b) 0.5 (c) 0.4 (d) s
c
Let q = -18 + 23. Let p(u) = 6*u - 125. Let r be p(20). Let l = 0.1 - 0.5. What is the second smallest value in l, q, r?
l
Let o = -0.511 - -0.011. Let w = -71 - -42. Let j be 5 - 77*2/30. What is the smallest value in w, o, j?
w
Let r = -0.05 - 0.35. Let o = 172495/1207661 + 4/172523. Which is the second smallest value? (a) 0.1 (b) 1/3 (c) r (d) o
a
Let j = 1/45 + -59/630. Let p = -509.3 + 509. What is the smallest value in 2, p, j?
p
Let d be (-8)/(-4) + 22/(-12). Suppose -5*q = 3*j + 373, -j - 5*q = -5*j - 474. Let x = j - -121. What is the second biggest value in x, 1, d?
d
Let r = 3.318 + -4.918. What is the second biggest value in r, -2/5, 8/3?
-2/5
Let z = -165 - -164.835. Let x = 0.235 - z. Which is the fourth smallest value? (a) -0.3 (b) 3 (c) x (d) 2
b
Let r = 25.98 + -20.98. What is the fourth smallest value in -3, r, -0.4, -15?
r
Let l be (-3 - 1)/(1478/(-6 - -7)). Let k = l + 1496/6651. What is the smallest value in -6, 0.3, 2, k?
-6
Let t = -7445.4 + 7443.4. Let z = -6 + 6. What is the third smallest value in -1/4, t, 5, z?
z
Let n = 3610.3 - 3610. What is the smallest value in n, 0.8, 1/49, 2?
1/49
Let r(o) = o**3 + 6*o**2 + 9*o + 108. Let q be r(-7). Let t = 260 + -2077/8. Which is the fourth smallest value? (a) 4 (b) q (c) 8 (d) t
c
Let x = 23607 - 23619.123. Which is the third smallest value? (a) x (b) 0 (c) -1/3
b
Let q = -63559 - -63559.26. Let g = -0.1 + 1.1. Which is the second biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
of -y**8/8 - y**4/3 + 3*y. What is the third derivative of m(l) wrt l?
-840*l**3
Let a be (-1)/(-6) - (-430)/12. Let b be (-38)/(-8) - (-9)/a. Find the third derivative of 5*m**2 - m**2 - m**b - m**2 + 0*m**5 wrt m.
-60*m**2
Let k = -5 + 6. Let p(q) = -q**2 + q + 1. Let s(g) = 7*g**2 - 5*g - 3. Let y(z) = k*s(z) + 3*p(z). Find the second derivative of y(w) wrt w.
8
What is the second derivative of 41*b**3 - 31*b**3 + 0*b**5 + 1 - 2*b**5 + 3*b**5 + 22*b wrt b?
20*b**3 + 60*b
Find the third derivative of 2*j - 601*j**2 - 2*j + 661*j**2 + 53*j**3 wrt j.
318
Let k(t) = t**2 - 4*t. Let s be k(4). Suppose 4*o - 2*o + y = 8, s = 2*o + 4*y - 8. What is the second derivative of 3*d**4 + 2*d - 4*d**o - 3*d wrt d?
-12*d**2
What is the third derivative of 2*s**2 - 6*s**5 - 4*s**5 + 3*s**2 - s**5 wrt s?
-660*s**2
Let w(k) be the first derivative of 14*k**3/3 + 9*k**2/2 - 20. Find the second derivative of w(b) wrt b.
28
Let y(u) be the second derivative of u**5/30 + u**4/8 + u**3/6 - 2*u. Let k(b) be the second derivative of y(b). What is the derivative of k(x) wrt x?
4
Suppose -5*y = -2*d + 9, -5*d - 2*y + 10 = 2. Let s(g) = g**2 + g - 1. Let x be s(d). What is the second derivative of 2*k**x + 4*k**3 - k - 4*k**3 + 2*k wrt k?
40*k**3
Let o(h) be the third derivative of -17*h**4/12 + 29*h**3/6 + 37*h**2. What is the first derivative of o(a) wrt a?
-34
Let j(q) be the third derivative of -11*q**7/210 - 13*q**5/60 + 4*q**2. What is the third derivative of j(b) wrt b?
-264*b
Suppose 0 = x + 6 - 2. Let a(m) = 2*m**3 - 4*m - 7. Let o(f) = 4*f**3 - 7*f - 13. Let t(d) = x*o(d) + 7*a(d). What is the first derivative of t(g) wrt g?
-6*g**2
Suppose -2*a - 10 = -7*a. Suppose 5*t - a*o + 3 = 14, -17 = -5*t - o. What is the derivative of 2*p + 2 - t*p**3 + 1 - 2*p wrt p?
-9*p**2
What is the third derivative of 2*p**2 - 11*p**5 + 10*p**2 - 22*p**2 - 6*p**5 wrt p?
-1020*p**2
Suppose 5*l - 60 = -0*l. Suppose -5*p - l = 8. Let c(t) = -4*t**3 - 3*t - 2. Let n(o) = 5*o**3 + 4*o + 3. Let x(m) = p*c(m) - 3*n(m). Differentiate x(g) wrt g.
3*g**2
Suppose -3*n + 35 = 4*d - 4, -15 = -3*n + 4*d. Suppose -3*v = -n - 3. Differentiate 4 - 2 - 5*u**v + 3*u**4 - u**4 with respect to u.
-12*u**3
What is the derivative of -12 + 34*c**2 - 34*c**2 - 15*c**3 wrt c?
-45*c**2
Let j(t) = -5*t**4 - 3*t**3 - 3*t**2 - 5*t - 3. Let r(p) = -p**4 + p**3 + p**2 - p + 1. Let o(k) = -j(k) - 3*r(k). What is the second derivative of o(i) wrt i?
96*i**2
Let t(z) be the first derivative of 1/4*z**4 + 0*z - 5 + 0*z**2 - 1/3*z**3. Find the third derivative of t(a) wrt a.
6
Find the third derivative of 7*p**6 + 58 - 58 + 6*p**2 wrt p.
840*p**3
What is the third derivative of 326*p**4 - 51*p**2 - 50*p**6 - 326*p**4 wrt p?
-6000*p**3
Let c(w) = 14*w + 20. Let t(h) = h + 3. Let z(q) = q + 1. Let x(o) = t(o) + 4*z(o). Let k(y) = -4*c(y) + 11*x(y). What is the derivative of k(m) wrt m?
-1
Let z(p) be the first derivative of -3*p**2 + 12*p + 11. What is the first derivative of z(x) wrt x?
-6
Let r(g) be the second derivative of -2*g**5/15 + g**4/12 + 5*g**2/2 + 8*g. Let f(w) be the first derivative of r(w). Find the second derivative of f(b) wrt b.
-16
Let l(n) = 19*n**4 + 15*n**2. Let x(a) = 13*a**4 + 10*a**2. Let q = 18 + -23. Let d(b) = q*l(b) + 7*x(b). Find the third derivative of d(v) wrt v.
-96*v
Find the second derivative of 20*b**4 + 0*b**4 - 9*b**4 + 9*b wrt b.
132*b**2
Suppose -2*a = 2*a + 48. Let o be -2 + 4/(a/(-9)). What is the first derivative of -o + 3*c + 2*c**3 - 3*c wrt c?
6*c**2
Let y(i) = -i**3 - 5*i**2 + 10*i + 5. Let z(v) = -4 + 3*v**2 + 6 + 5*v - v**3 - 5*v**2. Let r(h) = 2*y(h) - 5*z(h). Find the second derivative of r(u) wrt u.
18*u
Let p(m) be the second derivative of m**6/24 - 7*m**5/60 - m**2 - 3*m. Let c(u) be the first derivative of p(u). Find the third derivative of c(v) wrt v.
30
Differentiate 5 - 3 + 0 - 4*b with respect to b.
-4
Let a(n) be the third derivative of -n**7/840 - n**5/120 - n**3/6 + n**2. Let s(i) be the first derivative of a(i). What is the second derivative of s(d) wrt d?
-6*d
Let f(y) be the second derivative of 9*y**5/10 + 11*y**2 - 4*y. Differentiate f(p) wrt p.
54*p**2
Let s(m) = 51*m**4 + 8*m**3 + 65. Let g(v) = 17*v**4 + 3*v**3 + 22. Let z(l) = 8*g(l) - 3*s(l). Find the first derivative of z(b) wrt b.
-68*b**3
Find the third derivative of 3*t**6 - 7*t**2 - 9*t**2 - 11*t**2 + 10*t**2 wrt t.
360*t**3
Let v(n) = 32*n**5 + 3*n**2 - 5*n. Let o(r) = 33*r**5 + 2*r**2 - 4*r. Let a(c) = -3*o(c) + 2*v(c). Find the second derivative of a(j) wrt j.
-700*j**3
Let t(j) be the second derivative of j**10/5040 + j**6/180 - j**3/6 - 2*j. Let f(y) be the second derivative of t(y). Find the third derivative of f(h) wrt h.
120*h**3
Let h(k) be the first derivative of 2*k**7/21 - 3*k**4/4 - k + 3. Let x(i) be the first derivative of h(i). What is the third derivative of x(c) wrt c?
240*c**2
Let a(c) be the second derivative of -c**9/504 + c**5/20 + 4*c**2 + 2*c. Let b(u) be the first derivative of a(u). Find the third derivative of b(s) wrt s.
-120*s**3
Suppose 1 + 7 = 2*a. What is the second derivative of 0*o + 0*o**2 + 3*o + o**2 - a*o**2 wrt o?
-6
Let x = -11 - -13. Suppose 4*s - 3*u - 2 = 0, 0 = 2*s + u + 3 - 9. Find the third derivative of s*i**4 - 5*i**x + 0*i**2 + 9*i**2 wrt i.
48*i
Let i = -24 + 34. What is the second derivative of -8*k - i*k**5 + 4*k**4 + 7*k**5 - 4*k**4 wrt k?
-60*k**3
Let z(l) = 23*l**4 + 11*l - 2. Let r(p) = 8*p**4 + 4*p - 1. Let n(q) = -11*r(q) + 4*z(q). Find the first derivative of n(d) wrt d.
16*d**3
Let x(w) = w**3 + 3*w**2 + 2*w. Let h be x(-2). Let z = h - -3. What is the second derivative of z*g + 0*g - g**5 - g wrt g?
-20*g**3
Let r(o) be the second derivative of -o**5/20 + 5*o**4/6 - 43*o**2/2 + 21*o - 1. Differentiate r(m) with respect to m.
-3*m**2 + 20*m
Let m(l) = -95*l**3 - 15*l**2 - 25*l + 15. Let a(v) = 24*v**3 + 4*v**2 + 6*v - 4. Let x(p) = -15*a(p) - 4*m(p). Find the second derivative of x(j) wrt j.
120*j
What is the derivative of -20 + 8*x**3 + 5 + 5*x**3 wrt x?
39*x**2
Let b(p) = 29*p**4 - 3*p**2 - 37*p - 3. Let l(o) = -58*o**4 + 5*o**2 + 74*o + 5. Let c(f) = -5*b(f) - 3*l(f). Find the second derivative of c(u) wrt u.
348*u**2
What is the second derivative of -u**5 - 3*u + 5*u - 4*u - 7*u**5 wrt u?
-160*u**3
Let y(u) be the third derivative of 0*u - 3*u**2 + 1/168*u**8 + 0*u**3 + 0 + 0*u**6 + 0*u**4 + 1/60*u**5 + 0*u**7. Find the third derivative of y(d) wrt d.
120*d**2
Let v(r) be the second derivative of -r**5/30 + r**4/12 - r**2 + r. Let g(j) be the first derivative of v(j). Find the second derivative of g(o) wrt o.
-4
Suppose 3*y - q + 12 = 0, -7 - 9 = 4*y + q. Let v = y + 8. Find the first derivative of -3*b**v + 0 + 2 + 2*b**4 wrt b.
-4*b**3
Let r(d) = 3*d**2 + 65*d - 6. Let j(y) = -y**2 + 1. Let x(m) = -6*j(m) - r(m). What is the second derivative of x(k) wrt k?
6
Let y be (-1)/(-4) + 34/(-8). Let z(n) = 9*n**3 - 4*n**2 + 8. Let t(o) = -19*o**3 + 9*o**2 - 17. Let l(b) = y*t(b) - 9*z(b). Differentiate l(d) wrt d.
-15*d**2
Suppose -35 = -4*p + 9. What is the derivative of 1 + 2*x + 6 + 2 - p*x wrt x?
-9
Differentiate 75*f - 6 + 1 - 7 - 8 with respect to f.
75
Let g(f) = -f**2 - 1. Let j(b) = -b**2 - 2*b - 4. Suppose -2*r = 2*r - 16. Let y(k) = r*g(k) - j(k). What is the second derivative of y(n) wrt n?
-6
Let s(r) = -11*r**4 - 25. Let n(p) = 5*p**4 + 13. Let q(h) = -11*n(h) - 6*s(h). What is the derivative of q(y) wrt y?
44*y**3
Suppose 0 = -z - 3*f - 1 + 3, -z - 2*f + 1 = 0. Let l be 1 - z - (-2)/(-1). What is the second derivative of -5*u**5 + 2*u**5 - u + l*u wrt u?
-60*u**3
Find the third derivative of -12*r**5 - 1036*r - 8*r**2 + 1036*r wrt r.
-720*r**2
Let n(b) = -6*b**3 - 9*b**2 - 5*b. Let l(t) = 3*t**3 + 4*t**2 + 2*t. Let k(w) = 5*l(w) + 2*n(w). Find the third derivative of k(r) wrt r.
18
Let c = 78 - 75. Let l = 4 + 1. Find the second derivative of -m**c + m + l*m - 5*m wrt m.
-6*m
Suppose -4*q + 32 = 2*i, 10 = 5*i - 5*q - 40. What is the third derivative of 12*y**3 - i*y**3 + y**6 + 0*y**6 + y**2 wrt y?
120*y**3
Let l(o) be the second derivative of o**6/30 - o**5/12 + 2*o**2 - 5*o. Let b(i) be the first derivative of l(i). Find the third derivative of b(k) wrt k.
24
Suppose 0 = -0*y - 2*y + 4. What is the third deri
|
{
"pile_set_name": "DM Mathematics"
}
|
4/(-6) + c/15. Which is greater: y or d?
d
Let d be (-6)/4*4/(-3). Suppose -l = i + 8, -4*l - 36 = d*i - 8. Let n be (-2)/6 - l/18. Which is smaller: 2 or n?
n
Let p be 3*(-4)/928*-4. Which is smaller: p or -1?
-1
Suppose -28*l - 8 = -24*l. Let k(g) = g**3 - 4*g**2 + 3*g. Let d be k(3). Suppose 0 = -5*n + 4*y - 26, n - 2*y + 17 - 7 = d. Are n and l nonequal?
False
Let o = 172 + -200. Let f = -25 - 1. Do f and o have different values?
True
Let z(a) = 307*a**2 + 8*a - 1. Let t be z(1). Is t smaller than 314?
False
Let r be (-14)/(-105)*(-9)/(-4). Let n = 7/5 - 41/30. Let s = r + n. Is s != 0?
True
Let h be ((-6)/(-452))/((-6)/(-8)). Let f(y) = -3*y**2 - 12*y + 37. Let j be f(2). Is h greater than or equal to j?
False
Let t = 78 - 78. Let k be (-4)/(-76) - 0 - t. Which is greater: k or 0?
k
Suppose 2*n = 5*q + 6*n + 1713, -4*n = -2*q - 674. Is -341 smaller than q?
False
Let q be (-13)/(-91) - 16/14 - -2. Are 2/47 and q equal?
False
Suppose -4*n + 2*n = -8. Suppose -n*i = -2*i. Suppose 0 = -0*x + x - 2. Is i > x?
False
Let q be (-9)/(-2)*(-4)/(-2). Let l = -10 + q. Let j(p) = p**2 + 3*p + 2. Let z be j(-2). Is z at most l?
False
Let o = 116 + -112. Suppose -4*h = -7*h - 3, 7 = o*z + 5*h. Is 30/19 greater than or equal to z?
False
Let n be (1 + 1)*41/82. Which is smaller: 22/29 or n?
22/29
Let r = 431.8 - 431. Which is smaller: 2/165 or r?
2/165
Let s be (10/4 - 2)*-1. Which is greater: 9.6 or s?
9.6
Let c = -1206 - -101281/84. Let x = -2311/42 + 55. Let d = x - c. Is d greater than 3/2?
False
Let m(t) = -t**3 - 8*t**2 - 10*t + 11. Let s be m(-5). Let v be (s/6)/(60/(-72)). Which is smaller: 3 or v?
v
Suppose 162*o = 172*o + 500. Which is smaller: o or -252/5?
-252/5
Let i = -83 - -86. Is 48/19 less than i?
True
Suppose -2*q - 4 = -s, q + 2 = 5*s + 18. Let j = q - -11. Suppose t = -2*o, j = -t - 5*o + 1. Which is greater: 3 or t?
t
Suppose 0 = 6*s - 2*s - 5*m - 201, 4*m + 20 = 0. Let t be s/33 + (-5)/(-3). Suppose 0 = -t*k + 3. Which is bigger: 1/13 or k?
k
Suppose -17*n = -40*n + 46. Let j(f) = -f**3 + f + 2. Let v be j(0). Is n at least as big as v?
True
Let q = 6.1 - 6.05. Let z be (-2 + 2)/(1 + 1). Are q and z unequal?
True
Let v be (-215)/(-6)*3/10. Let b = 21/2 - v. Which is smaller: -0.24 or b?
b
Suppose 2*a = -3*d - 33, -37 = 2*a - d - 8. Is -16 greater than or equal to a?
False
Let y = 62/17077 - -12833561/7001570. Let z = y - 3/82. Is 3 at most z?
False
Let y = 2.646 + 10.354. Is y smaller than 91?
True
Let z = 192 - 413. Does -221 = z?
True
Let b(t) = t - 32. Let m be b(0). Let f be (9/(-6))/((-2136)/m). Which is smaller: -1 or f?
-1
Let f = -217 + 217. Which is smaller: 20/3 or f?
f
Let v = -5 + 0. Let j = -5.03 - v. Let o = 468 + -468.2. Is o smaller than j?
True
Let h = -551 + 471. Is -88 smaller than h?
True
Let k = 3 - 5. Let h = k + 2.1. Let c = 1.47 + -1.43. Which is greater: c or h?
h
Suppose -11*y = 423 + 875. Which is bigger: y or -119?
y
Suppose 2*k + 0*k = 150. Suppose 4*o = -2*l - 60, -5*o + l - k = -3*l. Is 1/2 greater than o?
True
Let x = -2855/7 + 1170599/2870. Is 1 greater than x?
True
Suppose 4*y - l + 185 - 26 = 0, -3*y - 3*l = 138. Which is greater: -36 or y?
-36
Let h = 18.669 + 0.331. Which is smaller: h or -14?
-14
Let u = -75.59 + 76. Let n = -2.41 + u. Is -0.1 not equal to n?
True
Let n(i) = i**3 - 18*i**2. Let v be n(18). Suppose 3*p + 9 = v, -m - 5*p + 2*p + 84 = 0. Which is bigger: 0.1 or m?
m
Let d = 28.1 + -24. Let l = d + -5.1. Which is greater: l or 22?
22
Let a = -111.3 - -104.3. Which is smaller: -9 or a?
-9
Let w = -19.6 - -6.6. Let s = w - -14. Which is smaller: s or -21?
-21
Let q = -11 - -14. Suppose -u + 4*z = 9, -3*u = -q*z + 26 + 1. Which is greater: u or -8?
-8
Let m(i) = -i**3 + 35*i**2 + 19*i - 248. Let c be m(35). Which is smaller: 2 or c?
2
Suppose 0 = -47*u - 18415 - 21347. Do -848 and u have different values?
True
Let l be 4 - (-5)/((-25)/10) - 34. Is -32 greater than or equal to l?
True
Let r = -0.0487 - -1.1487. Which is bigger: r or -3?
r
Let v = 0.104 - 0.004. Is v at most as big as -11.3?
False
Let c be 6*(-6)/(-144) + (-6)/(-8). Is 2/2125 greater than or equal to c?
False
Let t(m) = m**2 - 12*m - 2. Let a be t(12). Let v be (a/3)/((-8)/(-6)). Which is greater: v or 7?
7
Suppose 2*d - 3*u = 2*u - 17, d - 3*u + 11 = 0. Suppose -5*m = -d*h + 4, 2*m = 4*m - h + 1. Let r be ((-12)/(-8))/(84/(-16)). Which is smaller: m or r?
r
Suppose 0 = 2*s + 2*m + 8, s + 3*m = -s - 11. Which is bigger: 2/15 or s?
2/15
Let o be 7099/2852 - (-1)/4 - 2. Is o <= 1?
True
Let a(z) = -z**3 - 5*z**2 + z + 7. Let w be a(-5). Let f(v) = 2*v**2 + 5*v**2 - 8*v - 2*v**w + v**3 + 3*v. Let k be f(-6). Which is greater: k or 1/3?
1/3
Let w = 6 - -19. Suppose 28*d - w*d = 3. Which is smaller: d or -14?
-14
Suppose 20*p + 27 - 107 = 0. Let n(l) = l - 1. Let d be n(-5). Let c be (p/d)/((-32)/(-24)). Is 1 less than c?
False
Let v be 52/(-6)*(0 + 9). Let b = v - -79. Which is greater: b or -15?
b
Suppose -4*c = 5*b - 219, 0*c - 193 = -3*c + 2*b. Suppose -20*f + 4*f + 992 = 0. Are f and c equal?
False
Suppose 2*b + 16 = 6*b. Suppose b*c - 105 = 3. Which is smaller: 26 or c?
26
Let k = -12.22 - -12. Let s = -0.3 - k. Which is smaller: 0.2 or s?
s
Let j be ((-12)/21)/((-324)/14). Is -1 at most as big as j?
True
Suppose -4*c + 4 = 2*z - 0, -z + 3 = c. Suppose o + 2*l + 4 = -z*o, 10 = -5*l. Is 5/24 at most as big as o?
False
Let i be (-2)/((-4)/(34 - 2)). Let r(o) = -2*o**2 + 7*o - 17. Let v be r(5). Let l be (v/i)/((-2)/(-1)). Are 5/13 and l non-equal?
True
Let s be 192/144 + (-3284)/6. Which is bigger: -548 or s?
s
Let s = 2 - -1. Suppose 6 = -s*r - 3*r. Let h be (-6)/8 - (-1)/(-2). Is r >= h?
True
Let a = 1/101 - 111/1010. Let l = -3 + 6. Suppose 0 = 2*z + v - 2*v - l, 2*z - 4*v - 18 = 0. Which is bigger: a or z?
a
Let m(x) = -x**2 + 12. Let c be m(-3). Suppose -f = 0, -4*f + 97 = c*r + 1. Is 61/2 != r?
True
Let d be (-7)/((-154)/(-319))*2*-3. Is 343/4 greater than or equal to d?
False
Let w = -2462 - -2464. Which is smaller: 17/33 or w?
17/33
Suppose -l + 30 = -z - z, -3*z - 45 = 3*l. Let j be (-693)/(-35) + (-3)/z. Do 20 and j have different values?
False
Let p(s) = -s**2 - 19*s + 43. Let g be p(-15). Let d = g + -113. Does d = -10?
True
Let l be (-12)/20 - (-487)/(-5). Let h be (-1)/6 - l/48. Which is bigger: 3 or h?
3
Suppose -3*r - 5*f = -70, 0*r + 5*f - 120 = -5*r. Suppose -5*i + 121 = -u, 54 = 21*i - 19*i + u. Is i at least as big as r?
True
Let w = -8225/408 - -121/6. Does -4 = w?
False
Suppose -m - 231 = -49*l + 45*l, 4 = 4*m. Which is greater: l or 57?
l
Suppose 0*y = -2*y + 34. Suppose -13*g = -y*g - 124. Are -30 and g non-equal?
True
Let y be 5/(-2)*4/10. Which is smaller: y or -1/190?
y
Suppose 2*v + 6 = -3*w, 0*v - 2*v + 3*w + 18 = 0. Suppose 0*y + 12 = -x + 4*y, -3*x - v*y + 24 = 0. Let k = 0.86 + 0.14. Is k less than x?
True
Let u be 93/(-5) + 8/(-20). Let f = u - -20. Is f >= 4/21?
True
Let g be (-6 - -11 - 55) + 7. Which is bigger: g or -1/3?
-1/3
Let z = -1 + 1. Let a = 121 - 79. Let o = a - 42. Is o <= z?
True
Let t = -0.415 + 0.215. Does -31 = t?
False
Let d = -7936/11 + 722. Which is bigger: d or 1?
1
Let v = -72 - 107. Is v < -178?
True
Suppose -4*p + 32 = -3*m, 4 = 2*m + 5*p - 13. Let x be m*(-3 - -4)/4. Is 6/13 at least x?
True
Let y be (1438/6)/(13/(-3)). Suppose 2*w - 2*u - 106 = 0, 3*w - 2*u = 136 + 25. Let v = w + y. Is 1 greater than v?
True
Let w = 49 + -54. Let y be 3/(-6)*(-21 + w). Which is bigger: 15 or y?
15
Suppose k = -2*m + 5*k - 14, -2*m = 4*k + 46. Let g = 16 + m. Which is smaller: -1/45 or g?
-1/45
Let p be 32/(-24) + (-5)/(300/(-8936)). Which is smaller: 149 or p?
p
Suppose 0 = 3*d - 4*p + 2 + 2, 0 = 3*d + 4*p - 28. Suppose 0 = -0*k - k. Suppose 2*a = m + 5, k = 4*m - 9*m - d*a - 25. Is -7 > m?
False
Let p be (-4)/(-6) + ((-4)/(-3) - -2). Let t be (-1)/(-4) - 1/p. Which is smaller: 3 or t?
t
Let r = 1647 + -1644. Let a(c) = -2*c - 5. Let l be (2 + -7)*(-4)/(-5). Let y be a(l). Is r at least y?
True
Let x = -0.33 + 0.03. Let g = 2 + -1.7. Let w = g + x. Which is smaller: -1 or w?
-1
Let m be (-5 - -6)/((-2)/(-6)). Let t be (m/(-4))/(624/(-128)). Is 0 greater than t?
False
Let o be (-14)/45 + (-48)/216. Do o and -2/7 have the same value?
False
Let w = -492 + 475. Is w greater than
|
{
"pile_set_name": "DM Mathematics"
}
|
) l (b) -5 (c) 3/4 (d) 2
d
Let y = 42 - 42.3. Let j = 464 + -5102/11. What is the nearest to 0.1 in j, y, -0.2?
j
Suppose -24 = 4*w, 4*x - 5*w = 5*x + 24. Let t = 11/2 + -103/18. What is the nearest to x in 1/2, t, -4, 0.3?
1/2
Suppose -4*j = 5*g - 10, 3*g - 6 = j - 0*j. Let z = 0.58215 + -0.08215. Which is the closest to -9? (a) j (b) z (c) 1
a
Let w = 656 - 21650/33. Let g = -82.62 - -82.72. What is the nearest to 1 in g, -0.5, w?
g
Let y = 4.04658 - -0.05042. Let v = y - 0.097. What is the nearest to -0.7 in 1/7, 5, v?
1/7
Let w be 1/(4*(2 + 28/(-7))/8). What is the nearest to -1 in 1/2, w, -2/7, 7?
w
Suppose -20 + 9 = -2*f - m, -5*f + 5*m - 85 = 0. Let h = -10 - -23. Which is the closest to h? (a) -1/4 (b) f (c) 1/8
c
Let m be (14 - 17) + 6 + 38/(-14). What is the nearest to 6 in m, -4, 64/5?
m
Let i = 2476/15561 - 1/819. Let k = i - -51/38. What is the nearest to -2 in k, -3, 3/5?
-3
Let m = 6.347 + -6.747. What is the closest to -0.01 in m, 0.1, -2/11, 0.147?
0.1
Let r = 200 + -187.1. Let k = r + -13. Suppose 0 = d + 5, 2*s + 2*d = -s + 20. What is the nearest to 0 in k, s, 3?
k
Let p = 1.57 + 0.03. Let s = -1.5 + p. Let h = -24493/9 - -2722. Which is the nearest to 0.1? (a) 3/7 (b) h (c) s
c
Let p be (-4)/(-28)*21/6. Suppose 0 = 15*i - 11*i - 16. What is the closest to p in i, -2, 1/4?
1/4
Suppose t + 2*t - 18 = 3*j, 5*j + 24 = 3*t. Suppose -o - 3*g = -7, 64*o - 4*g = 67*o - 1. What is the closest to -2 in o, 0.2, t?
0.2
Let z be (-204)/(-36) + (-4)/6 - 4. Let f = -0.2609 - 0.0391. Which is the nearest to z? (a) 0.2 (b) f (c) 1
c
Let l(z) = z**2 - 2*z. Let g be l(2). Let u = -154.9779 - -154.5779. What is the closest to g in -3, u, -0.03?
-0.03
Let b = -125 - -127. What is the nearest to b in -21, 0.1, 0.4?
0.4
Let n = 800.1 - 804.1. Which is the nearest to 0.05? (a) 1 (b) n (c) 2/7 (d) -8
c
Let d = -166 + 88. Let j = d + 82. What is the nearest to -2/7 in -2, -6, j, 3?
-2
Let n = 390 - 249. Let s = n - 142. What is the nearest to 3 in s, 3/7, -0.4?
3/7
Let k = 199 - 602/3. Let c = -2.819 + 2.819. Let p = -1.16 - -0.16. What is the nearest to p in k, -3/4, c?
-3/4
Let r be 4 - (-1 - 204/(-40)). Let v = -0.0512 + -0.0088. Which is the nearest to v? (a) 4 (b) r (c) 0.1
b
Let x be -6*(2*-3 - (-6)/((-480)/(-488))). What is the closest to 2/3 in -137, -0.5, x?
-0.5
Let r be (6*(-3)/(-60))/((-56)/(-80)). Which is the nearest to 0.06? (a) r (b) 1/12 (c) -0.2 (d) -4
b
Let u = -9663/14 - -1381/2. What is the nearest to -0.1 in 0.2, u, 0.1, -17?
0.1
Let q = -191403 + 574211/3. Let l = 607.93 + -611. Let o = -0.07 - l. Which is the closest to -4/5? (a) o (b) q (c) -0.5
c
Let o = 3/112 + 53/112. Let w(d) = d**3 - 4*d**2 + 5*d - 2. Let j be w(2). Suppose 20*n - 18*n - 10 = j. Which is the nearest to o? (a) -5 (b) n (c) 0
c
Let t = 127/8 - 16. Let l = 64 + -48.9. Let s = l + -15. What is the closest to s in -2/11, t, 5?
t
Let v = -3.1 + -27.9. Let s = v + 19. Let h = 105.1 - 105.1. Which is the nearest to -1? (a) 1/4 (b) s (c) h
c
Let i = 8/401 + -1644/2005. Let o = -77 + 382/5. Which is the closest to 0.1? (a) -0.03 (b) i (c) o
a
Suppose -3*r - 47 = -4*y, -5*y = 3*r + 2*r + 55. Let d = 70883 - 779715/11. Which is the nearest to d? (a) 2/3 (b) -3 (c) r
a
Let w = -57228/5 - -228917/20. Let o be (18/(-20) + 1)*-1. What is the nearest to w in o, -3, -2/7?
o
Suppose -2*v + 18 = 2. Let n be (-396)/176*6/9. What is the nearest to n in -0.1, -3, 1, v?
-0.1
Let o = 0.1472 - -1.7528. Which is the nearest to o? (a) 47 (b) 1 (c) -4
b
Let i = -0.9 + 5.9. Let x = -113 + 132. Let n = -19.5 + x. Which is the nearest to -3? (a) 1 (b) i (c) n
c
Let n = -9 - -13. Let l = 119 + -835/7. Let u = -198 + 197.9. Which is the closest to u? (a) n (b) 2 (c) l
c
Suppose n = -0*n. Let w be (4/10)/(17/(-5)). Let s = -7319 + 7318. Which is the nearest to -0.2? (a) w (b) s (c) n
a
Let u be 13/(-3) + (-6)/(-18) + -1. Let a = 5 - 7. Let o = -1332 + 1331.8. What is the nearest to a in o, 2, u?
o
Let b be (10 - -1) + (-48)/8. Suppose -b*v + 260 = 265. Let t = -12 + 5. What is the nearest to v in 1, t, -2/3?
-2/3
Let n = -1423 - -1429. What is the nearest to n in -8, 4/3, -2/3, -5?
4/3
Let v = 47/172 - 1/43. Let q = -280 - -271. Let y be -3*(-1)/q*(-12)/(-8). What is the closest to y in v, 3, -2/9?
-2/9
Let a be 3851/(-28) + (-1)/(-4). Let t = -137 - a. What is the closest to t in 3, 0, 0.24?
0.24
Let f be (-371)/637 - (-6)/14. Suppose 2*b = 4*v - 77 - 15, -5*v = -2*b - 114. Let c = -188.2 + 188.2. What is the closest to v in 4, c, f?
4
Let i = -5.5811 - 0.4189. Which is the nearest to 0.1? (a) -0.5 (b) i (c) -13
a
Let p = 0.811134 - 1.811134. Suppose 0 = 4*i - 171 - 21. Let q = i + -99/2. Which is the closest to p? (a) 3 (b) -2/7 (c) q
c
Let l = 3848 + -3847. Let x = 2277 + -52363/23. Let u = x - -53/46. What is the closest to 0 in -2/15, u, l?
-2/15
Let k = -348/185 + 40/37. What is the closest to 16 in 3, -2/11, k, 18?
18
Let z be ((0 - -1) + -4)/(-2). Suppose -3*a + 43*a + 800 = 0. Let n be a + (-1281)/(-63) + 5/(-3). What is the closest to 0.1 in 8/7, n, z?
8/7
Let g = -0.6821 + 0.7821. What is the nearest to -2/7 in g, 2/15, -7, -0.1?
-0.1
Let f = 156 + -72. Let q = -89.4 + f. Let v = -5.46 - q. What is the nearest to -0.1 in 2, -3, v?
v
Let k = 10.169 + -10.1. Let x = 0.031 + k. What is the closest to 1/4 in 4, 1/7, 5, x?
1/7
Let f = 2784 - 2750. What is the closest to 2/13 in -4, -1/5, f, 0.5?
0.5
Let u = -0.1 + 0. Let t = u - -0.1. Let k = -48.9 - -49.2. Which is the nearest to t? (a) 0.02 (b) k (c) 0.5
a
Let r = -148.056 - 0.044. Let s = r - -148. Which is the nearest to s? (a) 0.4 (b) 5 (c) -1
a
Let q = -0.04 - 126.96. Let z = -126.92 - q. Let u = -9 - -8.6. What is the nearest to z in u, 0.2, -1/6?
0.2
Let p = 5889 - 5853. Let g be (4/21)/((-4)/6). Which is the nearest to 0? (a) -3/4 (b) p (c) g
c
Let r = 4 - 0. Suppose -3 = -3*l + r*v, l + 5*v = 6*l - 5. Let z be -1*-4*(-7)/(-196). Which is the closest to l? (a) -5 (b) -1 (c) z
c
Let n = 29/39 - 1/13. Suppose -d + 38 = 3*m, -4*d - 13 = -2*m + 17. Which is the closest to 0.1? (a) d (b) -0.3 (c) n
b
Suppose -2*t = 4*o, 5*t = -o + 4*o. Let n = 1.5 - 1.932. Let a = 0.132 + n. What is the closest to -2 in 4, a, o?
a
Let h = -4 - -3. Let y = -340082 - -2380572/7. What is the nearest to y in h, -3, -1/2, 10?
-1/2
Let f = -795 - -759.52. Let w = f - 0.52. Let z = w + 34. Which is the nearest to 0.1? (a) z (b) -2/3 (c) 0
c
Let o be 1265/(-759)*(-9)/10. What is the closest to -2/7 in 0.27, -1.9, o?
0.27
Let x be -4*(-2)/(-18) - 2696/576. Let u = 631/120 + x. Let h be (-3 - -2)/((-9)/(-4)). What is the nearest to 2/7 in u, 4, h?
u
Let l be (-2)/3*2*(-9)/(-48). Let o = 27.76 + -27.66. Which is the closest to o? (a) -3 (b) l (c) 2 (d) 5
b
Let v = 1.425 - 0.305. Let d = v + -0.12. What is the closest to d in 2/7, -0.2, 8?
2/7
Let s = 405 + -401.87. Let j = 0.87 + s. What is the closest to 0 in 3/2, j, -1/3?
-1/3
Let w = 4.03 + 0.07. Let z = w - 4.2. Let j = 8.07 + -10.07. Which is the nearest to -2/3? (a) j (b) z (c) 0.1
b
Let w be (8/(-16))/((-17732)/(-5144)). Let d = w + -3/341. What is the closest to 0.03 in -1/3, d, -1/6?
d
Let o = -893/16269 + 5/319. Let b = -149/102 + o. Let m = -482.5 - -483. What is the closest to -2/3 in m, b, 5?
b
Let o(u) = -u**3 + 38*u**2 - 6*u + 1374. Let n be o(39). Which is the closest to 0.1? (a) -0.5 (b) n (c) 1/8
c
Let u be (17/(-85))/((-3)/30*-1*68). What is the nearest to 1 in -0.3, -0.01, u?
-0.01
Let r = -13.23 + 16.23. What is the closest to 2/7 in -11, r, 0.5, -5/6?
0.5
Suppose 79 = -z + 73. Let k be (z + 343)*(-2)/6. Let d = k + 111. Which is the closest to -1/5? (a) d (b) -0.1 (c) 2
b
Let k be 2/(-3)*(0 - (-9)/6). Suppose 0 = y + 4, y = -2*s - 1 - 1. Let l be (2/(-5))/(17/(-5) + s). Which is the nearest to k? (a) l (b) -5 (c) -3
a
Let h = -10 - -10.5. Let u = 348/385 + -34/55. Which is the nearest to 2/3? (a) h (b) u (c) -108 (d) -1/3
a
Let r = -432.41 - -436. Let k = r - 3.49. Which is the nearest to k? (a) 1/3 (b) 1/2 (c) 12/11
a
Let c = 0.1 + -0.3. Let k(w) = -w**3 - 4*w**2 + 6*w + 4. Let b be k(-5). Let x = 79.76 - 79.56. What is the nearest to c in 2, b, x?
x
Suppose -g + 10 + 1 = 0. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
between 5:02 AM and 8:25 AM?
203
What is 517 minutes after 10:14 AM?
6:51 PM
What is 418 minutes after 3:37 AM?
10:35 AM
How many minutes are there between 11:35 PM and 7:23 AM?
468
What is 388 minutes after 3:32 AM?
10:00 AM
What is 538 minutes after 12:07 PM?
9:05 PM
What is 324 minutes after 3:29 PM?
8:53 PM
How many minutes are there between 6:48 PM and 11:53 PM?
305
What is 467 minutes after 2:13 PM?
10:00 PM
What is 231 minutes before 9:20 PM?
5:29 PM
What is 662 minutes before 3:22 PM?
4:20 AM
How many minutes are there between 11:03 AM and 10:52 PM?
709
What is 355 minutes after 11:45 AM?
5:40 PM
How many minutes are there between 8:50 PM and 12:01 AM?
191
What is 687 minutes before 1:28 AM?
2:01 PM
How many minutes are there between 8:27 AM and 7:08 PM?
641
How many minutes are there between 11:53 PM and 12:37 AM?
44
How many minutes are there between 9:40 PM and 5:19 AM?
459
How many minutes are there between 1:08 PM and 12:03 AM?
655
What is 644 minutes before 11:23 AM?
12:39 AM
How many minutes are there between 7:49 PM and 10:11 PM?
142
How many minutes are there between 3:11 PM and 9:55 PM?
404
How many minutes are there between 2:16 AM and 7:21 AM?
305
How many minutes are there between 6:12 PM and 8:24 PM?
132
How many minutes are there between 10:28 AM and 10:18 PM?
710
How many minutes are there between 6:43 AM and 6:30 PM?
707
How many minutes are there between 6:27 AM and 4:19 PM?
592
How many minutes are there between 5:15 PM and 1:43 AM?
508
What is 354 minutes before 9:39 PM?
3:45 PM
How many minutes are there between 11:11 PM and 1:17 AM?
126
What is 663 minutes after 1:25 PM?
12:28 AM
What is 398 minutes before 6:23 AM?
11:45 PM
How many minutes are there between 4:26 AM and 7:30 AM?
184
How many minutes are there between 4:38 AM and 2:21 PM?
583
How many minutes are there between 12:10 AM and 12:30 AM?
20
How many minutes are there between 8:26 PM and 5:59 AM?
573
How many minutes are there between 4:40 AM and 4:29 PM?
709
What is 97 minutes before 1:11 PM?
11:34 AM
How many minutes are there between 5:30 PM and 5:25 AM?
715
How many minutes are there between 4:42 PM and 12:20 AM?
458
What is 456 minutes before 2:33 AM?
6:57 PM
How many minutes are there between 5:28 AM and 9:41 AM?
253
How many minutes are there between 9:26 AM and 3:32 PM?
366
What is 292 minutes after 3:42 PM?
8:34 PM
What is 488 minutes after 11:47 AM?
7:55 PM
How many minutes are there between 7:59 PM and 9:02 PM?
63
How many minutes are there between 2:02 PM and 7:02 PM?
300
How many minutes are there between 3:26 PM and 12:16 AM?
530
How many minutes are there between 4:55 PM and 4:37 AM?
702
How many minutes are there between 10:28 PM and 1:55 AM?
207
What is 238 minutes after 11:47 AM?
3:45 PM
How many minutes are there between 7:37 AM and 4:21 PM?
524
How many minutes are there between 11:12 PM and 9:58 AM?
646
What is 332 minutes before 11:44 AM?
6:12 AM
How many minutes are there between 2:32 PM and 4:33 PM?
121
What is 237 minutes before 5:08 AM?
1:11 AM
How many minutes are there between 1:49 PM and 1:44 AM?
715
What is 490 minutes before 12:44 AM?
4:34 PM
How many minutes are there between 5:20 AM and 4:51 PM?
691
What is 681 minutes after 6:25 PM?
5:46 AM
What is 667 minutes after 4:12 PM?
3:19 AM
What is 97 minutes after 11:45 PM?
1:22 AM
How many minutes are there between 1:02 PM and 6:25 PM?
323
How many minutes are there between 6:21 AM and 12:34 PM?
373
How many minutes are there between 1:06 PM and 8:58 PM?
472
How many minutes are there between 5:45 PM and 1:39 AM?
474
How many minutes are there between 10:32 AM and 9:37 PM?
665
How many minutes are there between 1:19 PM and 11:46 PM?
627
How many minutes are there between 3:08 PM and 8:49 PM?
341
How many minutes are there between 8:19 AM and 8:33 AM?
14
How many minutes are there between 8:05 AM and 12:11 PM?
246
How many minutes are there between 3:22 PM and 10:10 PM?
408
What is 38 minutes before 12:15 AM?
11:37 PM
How many minutes are there between 8:32 PM and 2:03 AM?
331
What is 250 minutes before 6:41 AM?
2:31 AM
How many minutes are there between 3:34 PM and 10:30 PM?
416
What is 126 minutes after 2:57 AM?
5:03 AM
What is 582 minutes before 4:40 PM?
6:58 AM
What is 468 minutes before 10:17 AM?
2:29 AM
How many minutes are there between 1:53 AM and 5:04 AM?
191
How many minutes are there between 8:13 PM and 3:16 AM?
423
What is 231 minutes before 3:33 AM?
11:42 PM
What is 685 minutes before 9:59 PM?
10:34 AM
How many minutes are there between 1:23 PM and 10:43 PM?
560
How many minutes are there between 7:12 PM and 8:44 PM?
92
What is 235 minutes before 10:21 PM?
6:26 PM
How many minutes are there between 1:25 AM and 10:11 AM?
526
How many minutes are there between 7:58 AM and 7:40 PM?
702
What is 703 minutes after 7:07 AM?
6:50 PM
How many minutes are there between 9:23 AM and 10:19 AM?
56
What is 687 minutes after 1:38 AM?
1:05 PM
What is 493 minutes before 4:28 PM?
8:15 AM
What is 159 minutes before 5:33 AM?
2:54 AM
What is 121 minutes before 2:22 PM?
12:21 PM
How many minutes are there between 7:06 PM and 10:28 PM?
202
What is 708 minutes before 1:03 PM?
1:15 AM
What is 581 minutes before 1:09 AM?
3:28 PM
How many minutes are there between 12:04 AM and 11:04 AM?
660
How many minutes are there between 5:59 PM and 2:23 AM?
504
How many minutes are there between 5:48 AM and 1:40 PM?
472
What is 655 minutes before 8:11 PM?
9:16 AM
How many minutes are there between 12:30 PM and 11:55 PM?
685
How many minutes are there between 9:50 AM and 6:24 PM?
514
What is 681 minutes before 10:48 PM?
11:27 AM
What is 670 minutes before 12:32 PM?
1:22 AM
How many minutes are there between 5:25 PM and 6:07 PM?
42
How many minutes are there between 4:52 AM and 11:06 AM?
374
How many minutes are there between 9:07 AM and 11:47 AM?
160
How many minutes are there between 4:09 AM and 9:36 AM?
327
How many minutes are there between 2:37 AM and 2:36 PM?
719
What is 160 minutes after 6:50 PM?
9:30 PM
What is 283 minutes after 11:04 PM?
3:47 AM
How many minutes are there between 8:10 PM and 11:05 PM?
175
What is 304 minutes before 12:53 AM?
7:49 PM
How many minutes are there between 6:10 PM and 11:14 PM?
304
How many minutes are there between 1:03 PM and 3:06 PM?
123
What is 155 minutes after 7:56 PM?
10:31 PM
How many minutes are there between 3:19 AM and 4:55 AM?
96
What is 605 minutes after 6:49 AM?
4:54 PM
How many minutes are there between 11:49 AM and 6:20 PM?
391
How many minutes are there between 1:04 AM and 7:32 AM?
388
What is 670 minutes after 8:10 AM?
7:20 PM
How many minutes are there between 10:06 PM and 12:16 AM?
130
What is 102 minutes before 9:59 PM?
8:17 PM
How many minutes are there between 10:16 AM and 3:19 PM?
303
How many minutes are there between 4:54 AM and 1:07 PM?
493
How many minutes are there between 8:18 PM and 11:49 PM?
211
What is 25 minutes after 7:52 PM?
8:17 PM
What is 89 minutes after 12:51 PM?
2:20 PM
What is 508 minutes after 11:11 AM?
7:39 PM
What is 709 minutes after 10:45 PM?
10:34 AM
How many minutes are there between 12:44 PM and 6:39 PM?
355
How many minutes are there between 4:27 PM and 6:27 PM?
120
What is 585 minutes after 4:37 AM?
2:22 PM
How many minutes are there between 12:10 AM and 3:47 AM?
217
How many minutes are there between 12:18 PM and 3:35 PM?
197
What is 404 minutes after 9:24 PM?
4:08 AM
How many minutes are there between 8:36 PM and 4:10 AM?
454
How many minutes are there between 12:36 AM and 3:29 AM?
173
How many minutes are there between 10:39 PM and 8:44 AM?
605
How many minutes are there between 1:54 AM and 5:57 AM?
243
What is 36 minutes after 6:19 AM?
6:55 AM
What is 419 minutes after 6:53 AM?
1:52 PM
What is 101 minutes before 11:28 PM?
9:47 PM
How many minutes are there between 5:15 PM and 8:21 PM?
186
What is 6 minutes after 1:10 AM?
1:16 AM
What is 388 minutes after 11:36 AM?
6:04 PM
What is 675 minutes after 6:21 AM?
5:36 PM
How many minutes are there between 7:35 AM and 12:37 PM?
302
What is 298 minutes before 8:27 AM?
3:29 AM
What is 453 minutes before 2:46 PM?
7:13 AM
How many minutes are there between 6:25 AM and 8:49 AM?
144
How many minutes are there between 10:24 PM and 3:28 AM?
304
What is 251 minutes after 4:12
|
{
"pile_set_name": "DM Mathematics"
}
|
of picking 1 r, 1 b, and 1 j when three letters picked without replacement from {j: 3, b: 4, r: 6}.
36/143
Calculate prob of picking 1 g, 1 f, and 1 x when three letters picked without replacement from fggggfwggfgxfx.
2/13
Three letters picked without replacement from cuccuccc. Give prob of picking 3 c.
5/14
What is prob of picking 2 z and 2 l when four letters picked without replacement from {l: 3, z: 2}?
3/5
Three letters picked without replacement from {b: 3, w: 1, m: 1, r: 4, x: 6}. Give prob of picking 1 x and 2 r.
36/455
Four letters picked without replacement from aavnavnavnav. What is prob of picking 2 n and 2 a?
2/33
Calculate prob of picking 1 p and 2 s when three letters picked without replacement from sssp.
3/4
What is prob of picking 4 u when four letters picked without replacement from {v: 1, u: 17}?
7/9
Two letters picked without replacement from {r: 4, l: 2, h: 2, w: 3}. Give prob of picking 2 w.
3/55
What is prob of picking 1 i and 1 d when two letters picked without replacement from bydzsdyyizz?
2/55
Four letters picked without replacement from {c: 1, t: 2, g: 1, r: 4, s: 2}. Give prob of picking 1 g, 2 s, and 1 t.
1/105
What is prob of picking 1 d, 2 l, and 1 w when four letters picked without replacement from wdulldwll?
4/21
Two letters picked without replacement from paapaap. What is prob of picking 1 p and 1 a?
4/7
Two letters picked without replacement from {e: 10, n: 4, r: 2}. Give prob of picking 1 r and 1 e.
1/6
Three letters picked without replacement from {x: 7, h: 1, a: 3, s: 6}. What is prob of picking 2 a and 1 x?
21/680
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from ovqggjvvjqjgono.
2/105
Two letters picked without replacement from {q: 2, e: 4, x: 4, l: 1, c: 2, v: 6}. What is prob of picking 1 v and 1 x?
8/57
What is prob of picking 2 l and 2 b when four letters picked without replacement from {b: 6, l: 12}?
11/34
Three letters picked without replacement from {k: 2, m: 2, q: 7, z: 2, p: 2}. What is prob of picking 1 p, 1 k, and 1 q?
4/65
Calculate prob of picking 2 i when two letters picked without replacement from iiihihssiessiihhhi.
28/153
Four letters picked without replacement from bgswgwbgwwv. What is prob of picking 1 w, 1 s, and 2 b?
2/165
Four letters picked without replacement from {c: 7, r: 2, w: 1, b: 2, s: 1, a: 1}. Give prob of picking 3 c and 1 r.
10/143
Three letters picked without replacement from {z: 2, m: 5, h: 2}. What is prob of picking 1 z and 2 h?
1/42
What is prob of picking 1 l and 1 r when two letters picked without replacement from erberllrblberebb?
1/10
Three letters picked without replacement from {i: 5, h: 1, r: 1, e: 1, s: 9, o: 1}. What is prob of picking 1 e, 1 o, and 1 h?
1/816
Two letters picked without replacement from {j: 3, q: 9, c: 4}. What is prob of picking 1 q and 1 j?
9/40
Three letters picked without replacement from qqaqzaaazqaaaaqaaqqa. Give prob of picking 1 q and 2 z.
7/1140
What is prob of picking 1 y, 2 r, and 1 i when four letters picked without replacement from rrwiiryiorrrrrwirroi?
15/323
Three letters picked without replacement from {i: 10, w: 4}. What is prob of picking 3 i?
30/91
Two letters picked without replacement from cosnlvcvvocsvccccncv. Give prob of picking 1 l and 1 n.
1/95
What is prob of picking 2 d and 2 h when four letters picked without replacement from {g: 1, d: 1, h: 2, u: 2}?
0
Two letters picked without replacement from {c: 10, b: 2}. Give prob of picking 2 b.
1/66
Calculate prob of picking 2 k and 2 v when four letters picked without replacement from {k: 2, v: 6}.
3/14
Calculate prob of picking 4 w when four letters picked without replacement from {w: 9, n: 2}.
21/55
What is prob of picking 2 l when two letters picked without replacement from {c: 2, l: 11}?
55/78
Three letters picked without replacement from xujxpvn. Give prob of picking 1 p, 1 v, and 1 x.
2/35
Calculate prob of picking 4 l when four letters picked without replacement from {l: 4}.
1
Two letters picked without replacement from lllllxlllxllxx. Give prob of picking 1 x and 1 l.
40/91
Three letters picked without replacement from exqfxfffq. What is prob of picking 1 x and 2 q?
1/42
What is prob of picking 4 m when four letters picked without replacement from miimmiiiiim?
1/330
Four letters picked without replacement from {v: 7, s: 1}. Give prob of picking 4 v.
1/2
Calculate prob of picking 2 h, 1 z, and 1 y when four letters picked without replacement from {y: 1, z: 2, h: 4}.
12/35
Four letters picked without replacement from {d: 3, e: 1, l: 10, g: 4}. What is prob of picking 1 g, 2 l, and 1 d?
3/17
Calculate prob of picking 1 s, 2 m, and 1 g when four letters picked without replacement from gsmmsmm.
12/35
Three letters picked without replacement from zgggzbggccccgbd. What is prob of picking 1 c, 1 d, and 1 g?
24/455
Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {k: 1, p: 5, t: 3, y: 1, n: 1}.
3/11
Two letters picked without replacement from aaavv. Give prob of picking 2 a.
3/10
What is prob of picking 2 a when two letters picked without replacement from avaro?
1/10
What is prob of picking 1 j, 2 v, and 1 y when four letters picked without replacement from {d: 1, j: 5, v: 5, y: 4}?
40/273
What is prob of picking 4 i when four letters picked without replacement from iiiiixxi?
3/14
What is prob of picking 1 w and 1 q when two letters picked without replacement from {l: 1, u: 3, y: 1, w: 3, n: 2, q: 1}?
3/55
What is prob of picking 1 z, 1 v, and 1 p when three letters picked without replacement from {v: 1, o: 9, p: 8, z: 1}?
8/969
Two letters picked without replacement from {p: 5, r: 1, n: 7}. What is prob of picking 2 n?
7/26
What is prob of picking 2 q and 1 j when three letters picked without replacement from oorfmqfrrrjqr?
1/286
Two letters picked without replacement from {d: 6, f: 3, s: 2, g: 1, p: 3, l: 4}. What is prob of picking 2 f?
1/57
What is prob of picking 2 e when two letters picked without replacement from eectkekekgckgkk?
2/35
What is prob of picking 1 o and 2 k when three letters picked without replacement from {v: 3, k: 5, o: 3}?
2/11
Four letters picked without replacement from wldiiliii. What is prob of picking 2 i, 1 d, and 1 w?
5/63
Two letters picked without replacement from uouuuuuouoooo. What is prob of picking 2 u?
7/26
Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {r: 2, u: 1, v: 1}.
1/4
Two letters picked without replacement from isyiziiye. Give prob of picking 1 y and 1 i.
2/9
Two letters picked without replacement from uyyuzyuyzuu. What is prob of picking 1 z and 1 u?
2/11
Three letters picked without replacement from {n: 1, q: 4, s: 2}. Give prob of picking 2 q and 1 s.
12/35
Two letters picked without replacement from yhhyhh. What is prob of picking 1 y and 1 h?
8/15
What is prob of picking 1 w, 1 i, and 1 p when three letters picked without replacement from wbxxxpiwwiwiibxuxb?
1/51
Three letters picked without replacement from {z: 3, s: 5, b: 2}. What is prob of picking 1 s and 2 b?
1/24
What is prob of picking 3 d when three letters picked without replacement from {c: 1, y: 5, d: 6, v: 1, p: 1}?
5/91
Three letters picked without replacement from {g: 7}. Give prob of picking 3 g.
1
Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {r: 2, w: 1, p: 11}.
55/364
What is prob of picking 2 p when two letters picked without replacement from pzpwwpq?
1/7
Three letters picked without replacement from {u: 13, z: 2, p: 3, l: 2}. What is prob of picking 2 u and 1 p?
39/190
Calculate prob of picking 1 y, 1 l, and 1 x when three letters picked without replacement from llxxyylylxy.
16/55
Calculate prob of picking 1 y and 2 m when three letters picked without replacement from yymymymammymymmyy.
28/85
Calculate prob of picking 4 o when four letters picked without replacement from ooaemoeeoeammoeee.
1/476
Four letters picked without replacement from {d: 1, g: 4, m: 3, t: 5, f: 1}. What is prob of picking 1 f, 2 g, and 1 m?
18/1001
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from auuuaahuhuauhuahu.
5/34
Three letters picked without replacement from hootooihtt. G
|
{
"pile_set_name": "DM Mathematics"
}
|
s divided by 104.
14
Calculate the remainder when 14617 is divided by 7295.
27
Calculate the remainder when 1660422 is divided by 396.
390
What is the remainder when 25621 is divided by 2327?
24
Calculate the remainder when 653 is divided by 447.
206
What is the remainder when 2060 is divided by 1025?
10
Calculate the remainder when 2027 is divided by 56.
11
What is the remainder when 20407 is divided by 3134?
1603
Calculate the remainder when 3296 is divided by 596.
316
What is the remainder when 1275579 is divided by 608?
603
What is the remainder when 44451 is divided by 1233?
63
Calculate the remainder when 3257 is divided by 44.
1
Calculate the remainder when 100128 is divided by 113.
10
What is the remainder when 351 is divided by 250?
101
Calculate the remainder when 4709 is divided by 27.
11
What is the remainder when 3952 is divided by 364?
312
Calculate the remainder when 760 is divided by 60.
40
What is the remainder when 18083 is divided by 2582?
9
Calculate the remainder when 842 is divided by 23.
14
What is the remainder when 872 is divided by 53?
24
What is the remainder when 82 is divided by 47?
35
Calculate the remainder when 210677 is divided by 36.
5
Calculate the remainder when 6296 is divided by 629.
6
What is the remainder when 1049 is divided by 250?
49
What is the remainder when 38679 is divided by 142?
55
Calculate the remainder when 4669 is divided by 160.
29
What is the remainder when 37146 is divided by 21?
18
What is the remainder when 1264 is divided by 1170?
94
What is the remainder when 11947 is divided by 116?
115
What is the remainder when 41377 is divided by 450?
427
Calculate the remainder when 27899 is divided by 372.
371
What is the remainder when 59330 is divided by 29665?
0
What is the remainder when 5607 is divided by 200?
7
Calculate the remainder when 1429 is divided by 39.
25
Calculate the remainder when 11535 is divided by 1437.
39
What is the remainder when 9140 is divided by 12?
8
What is the remainder when 78394 is divided by 282?
280
Calculate the remainder when 45468 is divided by 94.
66
What is the remainder when 72654 is divided by 117?
114
Calculate the remainder when 29142 is divided by 428.
38
Calculate the remainder when 483 is divided by 129.
96
Calculate the remainder when 56024 is divided by 249.
248
Calculate the remainder when 101888 is divided by 101875.
13
What is the remainder when 24042 is divided by 2402?
22
Calculate the remainder when 2309549 is divided by 267.
266
What is the remainder when 30497 is divided by 296?
9
What is the remainder when 2533 is divided by 560?
293
What is the remainder when 6771 is divided by 296?
259
What is the remainder when 1386 is divided by 168?
42
What is the remainder when 158751 is divided by 561?
549
What is the remainder when 29664 is divided by 93?
90
Calculate the remainder when 258929 is divided by 86309.
2
Calculate the remainder when 7216 is divided by 82.
0
What is the remainder when 5586 is divided by 312?
282
Calculate the remainder when 2352 is divided by 471.
468
Calculate the remainder when 14223 is divided by 138.
9
Calculate the remainder when 1283 is divided by 19.
10
What is the remainder when 1184 is divided by 374?
62
Calculate the remainder when 499215 is divided by 92.
23
What is the remainder when 22455 is divided by 72?
63
What is the remainder when 6775 is divided by 482?
27
What is the remainder when 8604161 is divided by 966?
965
What is the remainder when 1742 is divided by 1690?
52
What is the remainder when 6406 is divided by 3135?
136
Calculate the remainder when 154604 is divided by 5153.
14
Calculate the remainder when 96766 is divided by 36.
34
Calculate the remainder when 781078 is divided by 120.
118
What is the remainder when 70103 is divided by 278?
47
Calculate the remainder when 2012 is divided by 182.
10
What is the remainder when 2523 is divided by 22?
15
Calculate the remainder when 24562 is divided by 523.
504
What is the remainder when 16852 is divided by 626?
576
What is the remainder when 274 is divided by 40?
34
Calculate the remainder when 2044372 is divided by 6.
4
Calculate the remainder when 306 is divided by 34.
0
What is the remainder when 334075 is divided by 870?
865
What is the remainder when 2188 is divided by 344?
124
Calculate the remainder when 159252 is divided by 627.
621
Calculate the remainder when 705223 is divided by 104.
103
What is the remainder when 2652985 is divided by 497?
496
Calculate the remainder when 48366 is divided by 16122.
0
Calculate the remainder when 2255 is divided by 50.
5
What is the remainder when 6451 is divided by 93?
34
Calculate the remainder when 145982 is divided by 72979.
24
Calculate the remainder when 55305 is divided by 299.
289
Calculate the remainder when 38064 is divided by 40.
24
Calculate the remainder when 1344 is divided by 121.
13
What is the remainder when 1687 is divided by 279?
13
What is the remainder when 995 is divided by 84?
71
Calculate the remainder when 11350 is divided by 2258.
60
What is the remainder when 3595 is divided by 108?
31
What is the remainder when 6174 is divided by 193?
191
Calculate the remainder when 663 is divided by 402.
261
Calculate the remainder when 5930 is divided by 229.
205
What is the remainder when 138835 is divided by 94?
91
Calculate the remainder when 4833 is divided by 2405.
23
What is the remainder when 6296 is divided by 449?
10
Calculate the remainder when 65794 is divided by 3283.
134
What is the remainder when 1081 is divided by 381?
319
What is the remainder when 43499 is divided by 103?
33
Calculate the remainder when 46728 is divided by 118.
0
What is the remainder when 29384 is divided by 14692?
0
What is the remainder when 31840 is divided by 11?
6
Calculate the remainder when 9056 is divided by 77.
47
What is the remainder when 8334 is divided by 311?
248
What is the remainder when 35529 is divided by 4441?
1
What is the remainder when 62792 is divided by 596?
212
Calculate the remainder when 281159 is divided by 447.
443
Calculate the remainder when 5921 is divided by 489.
53
Calculate the remainder when 41399 is divided by 8260.
99
Calculate the remainder when 4105 is divided by 42.
31
What is the remainder when 4915063 is divided by 616?
615
Calculate the remainder when 34349 is divided by 1531.
667
Calculate the remainder when 1118 is divided by 204.
98
Calculate the remainder when 1122 is divided by 223.
7
Calculate the remainder when 63517 is divided by 31758.
1
What is the remainder when 2227 is divided by 81?
40
What is the remainder when 11249 is divided by 96?
17
What is the remainder when 211018 is divided by 142?
6
What is the remainder when 972298 is divided by 60?
58
Calculate the remainder when 2276 is divided by 53.
50
What is the remainder when 263569 is divided by 1141?
1139
Calculate the remainder when 755 is divided by 95.
90
Calculate the remainder when 3234 is divided by 1073.
15
Calculate the remainder when 5755741 is divided by 63.
61
What is the remainder when 37135 is divided by 134?
17
Calculate the remainder when 2541 is divided by 968.
605
Calculate the remainder when 191677 is divided by 599.
596
Calculate the remainder when 1975 is divided by 1922.
53
What is the remainder when 67420 is divided by 126?
10
What is the remainder when 1334342 is divided by 166790?
22
What is the remainder when 46894 is divided by 711?
679
Calculate the remainder when 11698 is divided by 6.
4
Calculate the remainder when 12661 is divided by 127.
88
What is the remainder when 127070 is divided by 1017?
962
What is the remainder when 102824 is divided by 418?
414
Calculate the remainder when 1726 is divided by 267.
124
Calculate the remainder when 3934 is divided by 3927.
7
Calculate the remainder when 1712 is divided by 64.
48
Calculate the remainder when 12296 is divided by 410.
406
What is the remainder when 297773 is divided by 35?
28
What is the remainder when 86657 is divided by 35?
32
What is the remainder when 5662 is divided by 1321?
378
Calculate the remainder when 251631 is divided by 34.
31
What is the remainder when 113867 is divided by 56923?
21
What is the remainder when 416 is divided by 295?
121
Calculate the remainder when 206979 is divided by 316.
315
What
|
{
"pile_set_name": "DM Mathematics"
}
|
lect the terms in -1 + 76*p**3 - 320*p**3 + 1.
-244*p**3
Collect the terms in 2 + 52*j**3 - 2.
52*j**3
Collect the terms in -8*g**3 - 9*g**3 + 14*g**3.
-3*g**3
Collect the terms in -2*o - o + 4*o - 27.
o - 27
Collect the terms in 16*r**2 + 4*r**2 + 27*r**2 + 1 - 12*r**2.
35*r**2 + 1
Collect the terms in -53*q**2 + 106*q**2 - 52*q**2.
q**2
Collect the terms in 147*c**3 - 67*c**3 + 2*c**2 - 77*c**3 - 2*c**2.
3*c**3
Collect the terms in 3*t - 13*t**3 + 10*t**3 - 3*t.
-3*t**3
Collect the terms in -2*w**2 + 0*w + 2*w**2 + 2*w - 59*w**3.
-59*w**3 + 2*w
Collect the terms in 3 - 27*k - 3.
-27*k
Collect the terms in -26783*s**2 + 26782*s**2 - 4 - 3.
-s**2 - 7
Collect the terms in -4*w**3 - 230 - 4*w**3 + 230.
-8*w**3
Collect the terms in 6 + 104*r - 6.
104*r
Collect the terms in -7*t + 8*t - 7*t - 15*t.
-21*t
Collect the terms in 3*o**3 - 9*o**3 - 11*o**3.
-17*o**3
Collect the terms in 31*z**3 + 24*z**3 - 85*z**3 + 31*z**3.
z**3
Collect the terms in -9471*a + 10*a**3 + 9471*a.
10*a**3
Collect the terms in -2 - 9*l**2 + 18*l**3 + 9*l**2.
18*l**3 - 2
Collect the terms in -372*p**2 + 2 + 2 - 4 + 374*p**2.
2*p**2
Collect the terms in -86*q + 39*q + 10 - 10 + 45*q.
-2*q
Collect the terms in 3 + 18*l**2 + 13*l**2 - 3.
31*l**2
Collect the terms in 9*v**3 + 10*v**3 + 14*v**3 + v**3.
34*v**3
Collect the terms in 2*z**3 - z + 2*z - z + 4.
2*z**3 + 4
Collect the terms in 28764*c**2 - 14384*c**2 - 14384*c**2.
-4*c**2
Collect the terms in 6*t + 375*t**2 - 6*t - 40*t**2.
335*t**2
Collect the terms in 4*j + 8*j - 28*j + 4*j.
-12*j
Collect the terms in y + 10*y + 17*y - 4*y.
24*y
Collect the terms in 256 - 256 - 17*t**2.
-17*t**2
Collect the terms in 9 + 2*j - 2 - 57.
2*j - 50
Collect the terms in 284*y + 7*y**2 - 284*y.
7*y**2
Collect the terms in -79*f**2 + 85*f**2 - f + 5*f.
6*f**2 + 4*f
Collect the terms in -3 - 18*g**2 + 6*g**2 + 11*g**2.
-g**2 - 3
Collect the terms in -14*l**3 + 27*l**3 + 25*l**3.
38*l**3
Collect the terms in -94 + 48 + 46 - 12*j**2.
-12*j**2
Collect the terms in 17*f - 6*f - 11*f + 2*f**3.
2*f**3
Collect the terms in 41*g**2 + 6*g**2 + 67*g**2.
114*g**2
Collect the terms in -11 + 15 - 21*u**3 + 20*u**3 - 4.
-u**3
Collect the terms in -2*u + 2*u - 28*u**2 + 10*u**2.
-18*u**2
Collect the terms in 6*u - 43*u + 34*u.
-3*u
Collect the terms in 2*j + 4*j**2 - 3*j**2 + j**2.
2*j**2 + 2*j
Collect the terms in -3 - 298*b + 307*b + 0 + 3.
9*b
Collect the terms in 9*v**2 + 2*v**2 + 21*v**2.
32*v**2
Collect the terms in 3*z - 216 + 216.
3*z
Collect the terms in 2*k + 12*k + 4*k - k.
17*k
Collect the terms in 651*n + 643*n - 1303*n.
-9*n
Collect the terms in 28*f**3 + 53*f**3 - 101*f**3.
-20*f**3
Collect the terms in 56*k - 18*k + k**2 - 17*k - 21*k.
k**2
Collect the terms in 9 - 87*u + 91*u - 9.
4*u
Collect the terms in 85 - 8*i - 164 + 79 + 7*i.
-i
Collect the terms in 9*z**3 + 47 - 47.
9*z**3
Collect the terms in -33*l**3 - 26*l**3 - 14*l**3.
-73*l**3
Collect the terms in -8 + 4*l - 5*l + 8.
-l
Collect the terms in 469*a + 5*a**2 - 469*a.
5*a**2
Collect the terms in 1 + 28*b + 5*b + b**2 - 1.
b**2 + 33*b
Collect the terms in 3*f**3 - 2*f**3 - 12*f**2 - 3*f**3.
-2*f**3 - 12*f**2
Collect the terms in 4*n**3 + n**3 + 0*n**3 + 2*n**3.
7*n**3
Collect the terms in -3*h - h**3 - 4*h**3 + 0*h + 0*h.
-5*h**3 - 3*h
Collect the terms in 2*d**2 - 2*d**2 + 0*d**2 + 5*d**2.
5*d**2
Collect the terms in -3 + 3 + 18*f.
18*f
Collect the terms in 0 - 1 - 74*n**3 - 475*n**3.
-549*n**3 - 1
Collect the terms in -10*o**2 + 7*o**2 - 4*o**2.
-7*o**2
Collect the terms in 27*o**2 - o + 5*o**2 + 0*o**2.
32*o**2 - o
Collect the terms in -79*c + 79*c + 2*c**2.
2*c**2
Collect the terms in -p - 880*p**2 - 1791*p**2 + p.
-2671*p**2
Collect the terms in 24 - 3*b - 19*b**2 - 24.
-19*b**2 - 3*b
Collect the terms in -a - 3*a**2 + 9*a + 2*a + 5*a**2.
2*a**2 + 10*a
Collect the terms in 4 - 4 + 12*i**2 - 11*i**2.
i**2
Collect the terms in 79*b**2 + 10*b**2 + 48*b**2 + 150*b**2.
287*b**2
Collect the terms in -47128 + 5*v + v + 47128 - 4*v.
2*v
Collect the terms in -2*s - 3*s + 22*s + 11*s.
28*s
Collect the terms in 456*u**3 + 2 - 2 - 458*u**3.
-2*u**3
Collect the terms in -v + v + 3*v**3 - 4*v**3 - 374*v**2.
-v**3 - 374*v**2
Collect the terms in -20*s + 28*s - 10*s - 10*s.
-12*s
Collect the terms in -186*s**3 + 400*s**3 - 203*s**3.
11*s**3
Collect the terms in -11*y**2 - 3*y**3 + 2*y**3 + 17*y**2 + 11*y**2.
-y**3 + 17*y**2
Collect the terms in 4*s**2 - 4*s**2 + s**3 + 6*s**3.
7*s**3
Collect the terms in y**3 + 2683*y - 2683*y.
y**3
Collect the terms in 13*q**3 - 32*q**3 + 20*q**3.
q**3
Collect the terms in 6*w**2 + 20456 - 20456.
6*w**2
Collect the terms in 26*g - 18*g + g**2 - 8*g.
g**2
Collect the terms in -13097*t**3 + 6550*t**3 + 6545*t**3.
-2*t**3
Collect the terms in -4*z**3 - 8*z**2 - z**2 + z**2.
-4*z**3 - 8*z**2
Collect the terms in -205*r**2 - 194*r**2 + 404*r**2.
5*r**2
Collect the terms in 4*j**2 - 9*j + 15*j - 6*j.
4*j**2
Collect the terms in 7*r**2 - 8434371 + 8434371.
7*r**2
Collect the terms in 0 + 0 - 15*v + v.
-14*v
Collect the terms in -u**3 - 2 + 2 - 584*u.
-u**3 - 584*u
Collect the terms in -7 + 3 + 3*w - 8*w.
-5*w - 4
Collect the terms in -859352 + 859352 - a**2.
-a**2
Collect the terms in -z + 15*z**2 - 40 + 40.
15*z**2 - z
Collect the terms in -5*l**2 + 3*l**2 - l**2 + 5*l**2.
2*l**2
Collect the terms in -409*f**2 - 516*f**2 - 637*f**2.
-1562*f**2
Collect the terms in 137*s - 28*s - 247*s.
-138*s
Collect the terms in -2*x**3 - 19*x**2 - 17*x**2 + 36*x**2.
-2*x**3
Collect the terms in -1201*u + 1201*u - 5*u**2 - 2.
-5*u**2 - 2
Collect the terms in -5981*x + 9*x**2 + 5981*x.
9*x**2
Collect the terms in a - a - a + 0.
-a
Collect the terms in 2*u**2 + 13*u**2 - 6*u**2.
9*u**2
Collect the terms in 285*u - 285*u + 6*u**3.
6*u**3
Collect the terms in -5*z**2 + 49 - 49.
-5*z**2
Collect the terms in -22*h + 7*h**2 + 0*h**2 + 22*h - 3*h**2.
4*h**2
Collect the terms in 61*j**2 + 70*j**2 - 129*j**2.
2*j**2
Collect the terms in 9*h - 38*h + 26*h.
-3*h
Collect the terms in -28*c**2 + 52*c**2 - 33*c**2.
-9*c**2
Collect the terms in 3*j - 3*j - 4*j + 2*j.
-2*j
Collect the terms in 6230 - 15*j + 13*j - 6230.
-2*j
Collect the terms in -2 + 15*t**2 + 0 + 2.
15*t**2
Collect the terms in 1563*h**3 - 3127*h**3 + 1563*h**3.
-h**3
Collect the terms in -13*h - 19 - 4 + 10*h.
-3*h - 23
Collect the terms in 4 - 4 - 11*n.
-11*n
Collect the terms in -8*z - 11 + z + 3*z.
-4*z - 11
Collect the terms in -o**3 + o**3 + 10*o**3 - o**3.
9*o**3
Collect the terms in 66 + 62 - l - 128.
-l
Collect the terms in -2*o**3 + o**3 - 43*o - 22*o + 3*o**3.
2*o**3 - 65*o
Collect the terms in -29*y + 15*y + 16*y.
2*y
Collect the terms in 16214*h**2 + 4*h - 16215*h**2 - h - 3*h.
-h**2
Collect the terms in -381 + 5*n**3 - 2*n**3 + 381 + 10*n**2.
3*n**3 + 10*n**2
Collect the terms in -23*k + 34*k + 30*k.
41*k
Collect the terms in r**3 - 24*r**3 - r**3.
-24*r**3
Collect the terms in 78*y**2 - 45*y**2 - 35*y**2 + 66*y.
-2*y**2 + 66*y
Collect the terms in -1086*g**2 - 1102*g**2 + 2198*g**2.
10*g**2
Collect the terms in -1 + 6*d + 10 - 2.
6*d + 7
Collect the terms in -7*z**2 + 3*z**3 + 7*z**2 - 15*z**3.
-12*z**3
Collect the terms in -3*o**3 + 2*o**3 - o**3 - 11*o**3.
-13*o**3
Collect the terms in -11*m**2 + 0*m**3 + 19*m**2 - 17*m**2 - m**3.
-m**3 - 9*m**2
Collect the terms in -8*f**3 - 3*f**3 + 19*f**3 - 3*f**3.
5*f**3
Collect the terms in 26*t**2 + 69 - 69.
26*t**2
Collect the terms in -23*n**2 + 10*n**2 - 6*n**3 + 13*n**2.
-6*n**3
Collect the terms in -48*o + 1 - 44*o - 1 + 95*o.
3*o
Collect the terms in 103*v**3 - 249*v**3 - 141*v**3.
-287*v**3
Collect the terms in j**2 + 473*j - 12 - 473*j.
j**2 - 12
Collect the terms in -39*y**2 + 882*y - 882*y + 43*y**2.
4*y**2
Collect the terms in 530*h - 178*h - 178*h - 172*h.
2*h
Collect the terms in -1577*q - 1573*q + 3144*q.
-6*q
Collect the terms in -6*t**3 + 3*t**3 - 13*t**3 + 3*t**3.
-13*t**3
Collect the terms in 29*j**3 + 3*j - 10*j**3 - 3*j.
19*j**3
Collect the terms in 6*c + 97 + 91 - 188.
6*c
Collect the terms in -13*c**3 - 97*c + 191*c - 94*c.
-13*c**3
Collect the terms in 5*v**2 + 5 - 16 - 4*v**2.
v**2 - 11
Collect the terms in -15*d**3 + 10*d**3 - 35*d**3.
-40*d**3
Collect the terms in 13*q + 4*q + 6*q + 5*q + 3*q - 32*q.
-q
Collect the terms in 8*r - 2*r - 3*r.
3*r
|
{
"pile_set_name": "DM Mathematics"
}
|
8334
1087 (base 16) to base 5
113411
Convert 1346 (base 9) to base 3.
1101120
What is -11010101111010 (base 2) in base 16?
-357a
-209 (base 10) to base 12
-155
Convert 3403023 (base 5) to base 15.
12a93
23323 (base 4) to base 3
1001021
Convert -1405 (base 16) to base 12.
-2b71
-10231 (base 7) to base 5
-40041
14231 (base 6) to base 5
33001
Convert -100 (base 12) to base 5.
-1034
4022 (base 5) to base 10
512
What is -188 (base 9) in base 2?
-10100001
What is ad (base 16) in base 12?
125
1120021 (base 4) to base 12
3321
Convert 3a1 (base 14) to base 11.
603
-21022022 (base 3) to base 4
-1103033
Convert -207751 (base 8) to base 7.
-406641
What is -fb (base 16) in base 11?
-209
Convert -1211111211 (base 3) to base 7.
-210142
What is -497 (base 11) in base 2?
-1001001110
Convert -29672 (base 10) to base 15.
-8bd2
2359 (base 12) to base 2
111101110101
What is -11111001110010 (base 2) in base 8?
-37162
-2440 (base 5) to base 15
-19a
Convert 3167 (base 9) to base 11.
1828
-1170 (base 10) to base 12
-816
-1311 (base 4) to base 8
-165
-40130 (base 5) to base 14
-cd6
Convert 3041 (base 6) to base 11.
562
What is 2868 (base 16) in base 13?
4929
-101101111111100 (base 2) to base 8
-55774
What is 1092 (base 10) in base 4?
101010
What is 30277 (base 8) in base 6?
133435
What is -2330 (base 4) in base 15?
-c8
Convert 6a69 (base 11) to base 15.
2b31
What is -1b81 (base 12) in base 11?
-261a
15041 (base 9) to base 11
7772
What is 1011331 (base 4) in base 10?
4477
What is -6312 (base 8) in base 7?
-12355
Convert b5 (base 14) to base 12.
113
Convert -1b4 (base 12) to base 14.
-160
Convert -101021 (base 3) to base 12.
-1b1
What is 6787 (base 12) in base 14?
427d
What is -48 (base 12) in base 6?
-132
What is 31b0 (base 14) in base 11?
64a2
What is -12515 (base 6) in base 12?
-113b
1101000011101 (base 2) to base 6
50541
What is -225033 (base 6) in base 4?
-10230231
What is -6273 (base 11) in base 4?
-2001310
Convert -ab6 (base 13) to base 11.
-1422
What is 220302 (base 6) in base 9?
27032
-16261 (base 8) to base 13
-3460
What is 1834 (base 13) in base 3?
11221001
What is 2113122 (base 4) in base 8?
22732
3a4d (base 14) to base 9
15061
What is -405 (base 11) in base 7?
-1266
What is -140361 (base 7) in base 9?
-40436
-4231 (base 5) to base 12
-3b2
Convert -12211101 (base 3) to base 11.
-3213
Convert a541 (base 11) to base 12.
80b4
100202113 (base 4) to base 12
33247
Convert 1049 (base 11) to base 3.
1220021
-a14a (base 16) to base 10
-41290
What is -1404 (base 5) in base 11?
-199
Convert 438 (base 10) to base 13.
279
What is 44 (base 10) in base 15?
2e
fb0 (base 16) to base 11
3021
What is 10366 (base 8) in base 5?
114332
What is 273 (base 13) in base 16?
1b0
2db (base 14) to base 10
585
Convert -475 (base 9) to base 11.
-327
What is -d29 (base 16) in base 7?
-12552
Convert 15455 (base 7) to base 8.
10400
Convert 21238 (base 9) to base 8.
33340
What is -846 (base 9) in base 13?
-411
What is -13012 (base 4) in base 3?
-121211
103302 (base 5) to base 12
20a1
Convert -1576 (base 9) to base 7.
-3336
Convert 101011011100000 (base 2) to base 16.
56e0
What is -1044114 (base 5) in base 11?
-13023
What is 18211 (base 10) in base 13?
839b
What is -2218 (base 9) in base 11?
-1259
What is 657 (base 8) in base 15?
1db
Convert -1a (base 13) to base 11.
-21
Convert -296 (base 13) to base 3.
-122002
Convert -1214150 (base 6) to base 2.
-1111101110110010
Convert -136 (base 11) to base 4.
-2200
Convert -555 (base 12) to base 7.
-2201
-1464 (base 7) to base 12
-409
Convert 24148 (base 10) to base 15.
724d
What is -79 (base 16) in base 3?
-11111
-1442111 (base 5) to base 9
-46350
-874 (base 11) to base 8
-2031
What is 13318 (base 9) in base 16?
2330
-5538 (base 9) to base 8
-7765
What is 101011110100110 (base 2) in base 8?
53646
What is 54064 (base 9) in base 6?
433351
What is -7eec (base 16) in base 13?
-11a35
What is 21310 (base 4) in base 11?
521
-82c (base 15) to base 12
-1096
What is -d401 (base 14) in base 6?
-440441
Convert -1525 (base 8) to base 9.
-1147
Convert -11121221 (base 3) to base 12.
-1b51
What is -2786 (base 14) in base 11?
-5274
-3102122 (base 4) to base 6
-142202
What is 2453 (base 6) in base 3?
211120
What is 40603 (base 8) in base 4?
10012003
What is -262 (base 11) in base 6?
-1234
-2c21 (base 13) to base 14
-24c9
Convert 44442 (base 5) to base 9.
4248
Convert -410 (base 9) to base 16.
-14d
263 (base 12) to base 6
1403
Convert b92 (base 13) to base 7.
5524
What is 140 (base 12) in base 7?
363
8b (base 16) to base 4
2023
Convert -1443221 (base 5) to base 10.
-31061
What is 216 (base 9) in base 11?
151
What is -6145 (base 8) in base 7?
-12152
What is -100002 (base 4) in base 6?
-4430
Convert -242 (base 8) to base 12.
-116
What is -3250 (base 14) in base 11?
-6594
What is 6bb (base 13) in base 8?
2220
What is -4433 (base 10) in base 3?
-20002012
-3c32 (base 14) to base 15
-3238
-102002110 (base 3) to base 5
-224320
aa (base 11) to base 3
11110
Convert 5e51 (base 16) to base 12.
11b81
33112 (base 4) to base 8
1726
What is -34a (base 16) in base 3?
-1011012
What is -9bd (base 16) in base 5?
-34433
Convert -2011121220 (base 3) to base 10.
-42738
21146 (base 10) to base 9
32005
Convert -3433 (base 5) to base 7.
-1303
What is 5450 (base 15) in base 10?
17850
What is -74 (base 15) in base 16?
-6d
What is -20101221 (base 3) in base 7?
-16420
What is -3b7 (base 16) in base 4?
-32313
-7e58 (base 15) to base 8
-64352
Convert 1333 (base 7) to base 3.
201001
Convert -1000302 (base 4) to base 6.
-31110
What is 345542 (base 7) in base 6?
1155035
Convert -175 (base 14) to base 8.
-453
22224 (base 7) to base 9
7616
Convert -26305 (base 7) to base 6.
-52244
-329 (base 12) to base 9
-566
What is -302 (base 13) in base 16?
-1fd
What is 1020 (base 15) in base 14?
1353
-16684 (base 10) to base 15
-4e24
Convert -133211 (base 4) to base 3.
-2202212
What is 33b3 (base 14) in base 15?
29d7
What is 5202 (base 14) in base 7?
56102
What is -1411 (base 6) in base 13?
-223
-447 (base 8) to base 15
-14a
Convert -143000 (base 6) to base 10.
-13608
11000222 (base 3) to base 16
b7e
What is -2ec (base 15) in base 13?
-3c9
636 (base 9) to base 5
4034
Convert 1113 (base 10) to base 12.
789
What is -70603 (base 8) in base 12?
-14997
What is 1395 (base 15) in base 9?
5665
62 (base 7) to base 6
112
What is 3616 (base 9) in base 13?
12ba
What is 432a (base 16) in base 5?
1022234
What is -43280 (base 9) in base 14?
-a637
-21359 (base 10) to base 12
-1043b
528 (base 10) to base 3
201120
What is -2441 (base 15) in base 5?
-221321
What is -11101110010 (base 2) in base 5?
-30111
What is -1883 (base 15) in base 11?
-3a87
-6be (base 16) to base 10
-1726
Convert -24a (base 14) to base 15.
-208
-bb43 (base 15) to base 13
-15090
Convert d25 (base 16) to base 14.
1325
Convert 352 (base 6) to base 14.
a0
Convert -585 (base 9) to base 15.
-222
What is -4bb (base 12) in base 6?
-3155
1120 (base 7) to base 6
1514
-125 (base 9) to base 7
-206
Convert d5bc (base 15) to base 4.
23001321
What is -162 (base 15) in base 8?
-475
112211 (base 3) to base 7
1111
-21c (base 16) to base 8
-1034
Convert 92a (base 16) to base 13.
10b6
What is -10001011101 (base 2) in base 8?
-2135
213 (base 8) to base 2
10001011
Convert 12432 (base 5) to base 15.
462
-388 (base 9) to base 4
-11003
-5053 (base 12) to base 13
-3c66
Convert -938 (base 13) to base 10.
-1568
What is 12981 (base 12) in base 4?
12033301
What is -13201 (base 5) in base 6?
-4511
-4630 (base 16) to base 13
-8242
56146 (base 7) to base 15
42d1
What is -1019 (base 12) in base 6?
-12033
21222 (base 3) to base 2
11010111
What is 10324 (base 5) in base 12?
4b6
What is -254 (base 13) in base 16?
-197
Convert -10018 (base 11) to base 3.
-202002222
-11591 (base 12) to base 5
-1221133
Convert 55827 (base 10) to base 5.
3241302
Convert 6b4 (base 12) to base 13.
5bc
31220223 (base 4) to base 7
321555
What is 12621 (base 9) in base 16?
214c
What is 22a (base 16) in base 7?
1421
Convert 10031 (base 4) to base 12.
1a5
Convert -3040 (base 5) to base 2.
-110001011
What is -100353 (base 7) in base 13?
-7971
-1450 (base 8) to base 11
-675
What is 32305 (base 7) in base 5?
224131
What is 8616 (base 14) in base 8?
55154
What is -404330 (base 6) in base 15?
-9799
Convert 859 (base 10) to base 7.
|
{
"pile_set_name": "DM Mathematics"
}
|
). Suppose -2 = n*r - 19*r. Which is the second smallest value? (a) -2 (b) 0 (c) r
b
Let a = -404 + 399. What is the third smallest value in a, 0.2, 2/115?
0.2
Let l(z) = -z**3 - 4*z**2 - 3*z + 1. Let q be l(-3). Let v = -5 + q. Which is the third smallest value? (a) -1 (b) 4 (c) v
b
Let s = -113.6 - -116.6. Which is the fourth smallest value? (a) 2/5 (b) s (c) 14 (d) -0.1
c
Let t = 5.4 + -5. Let n = -16.1 - -6.1. Which is the second smallest value? (a) n (b) t (c) 0.3
c
Let m be 50/575 - 216/897. Let n = 3.8 + -0.9. Let w = -3 + n. Which is the third smallest value? (a) m (b) w (c) 0
c
Let f = 1 + -0.6. Let l = -119 + 119.19. Let t = l - -1.81. What is the biggest value in f, -1, t?
t
Let g = 23.9 + -120.9. Let j = g + 120.1. Let t = 23 - j. What is the biggest value in t, -2, 1/6?
1/6
Let y = -3.75 - -4.25. Which is the biggest value? (a) 0.3 (b) 6/7 (c) y
b
Suppose 0 = 3*i - 67 + 4. Suppose -3*f + 9 = -i. Let r(y) = y**3 - 11*y**2 + 10*y - 3. Let q be r(f). Which is the biggest value? (a) q (b) 3 (c) 0.4
b
Suppose -5*n = 0, 2*q - 5*n - 46 - 8 = 0. Let b = q + -21. Let d be 6/b*(0 - 1). What is the biggest value in -3, d, 5?
5
Suppose 9*y + 31 = -2*j + 14*y, -4*y = -j - 23. What is the smallest value in 4, -119, j?
-119
Suppose 4 - 1 = -g. Which is the fourth smallest value? (a) 4 (b) 0.2 (c) 3 (d) g
a
Suppose -9*r + 27 = -0. Let x be -10*((-3)/(-5))/(r/2). Which is the fourth biggest value? (a) x (b) -0.5 (c) 20 (d) 0.3
a
Let b = 2/187 + -758/935. Suppose -3*z = 4*u - 15, 5*u - 3*u + z - 7 = 0. Suppose x = 4*w, 5*w = x - u*x - 39. What is the second smallest value in b, x, 0?
b
Let g = -31 + 30.93. Let l = 4.93 - g. Which is the fourth biggest value? (a) 0.4 (b) l (c) 4 (d) -1
d
Let v = -13.1 + 14. Let g = -0.199 + 0.099. Let t = g - v. What is the second biggest value in 4, 3/2, t?
3/2
Let k = 550.9 - 551. Which is the biggest value? (a) 64 (b) k (c) 0 (d) -1/4
a
Suppose z = -5*z - 486. Let h = -403/5 - z. Which is the third biggest value? (a) -2/5 (b) 1/9 (c) h
a
Let q = -0.99 + 5.99. What is the second smallest value in -47, q, 0?
0
Let x = -2.988 + 2.1. Let g = x - 0.012. What is the third biggest value in g, 4/3, 1?
g
Let o = -3.06 + 0.06. Let f be (-2 + 4)*(-6)/51. Let m = f + -1/68. Which is the smallest value? (a) -0.5 (b) o (c) m
b
Suppose -363 = -188*m + 177*m. Which is the biggest value? (a) 5 (b) m (c) 0.08
b
Let v = 0.022 + 13.978. Let h = -13 + v. What is the fourth biggest value in -1/5, 1/3, -2/11, h?
-1/5
Let r = -31/2 + 14. Let n = 548 + -1645/3. What is the second smallest value in -1/5, n, r?
n
Let y(x) = x**3 - 2*x**2 + 1. Let o be y(2). Let n be 1 + o + 1 + -8. What is the third smallest value in n, 1/5, -2?
1/5
Let x = -0.24 + 5.84. Let i = x + -4.6. Which is the fourth biggest value? (a) i (b) -1/6 (c) -0.1 (d) -1
d
Let h = -29 - 2. Let x be 4/(-7) + 1 + (-31 - h). What is the second biggest value in -1/6, 4, x?
x
Let t = 10.67 + 20.33. Which is the smallest value? (a) -0.5 (b) 4 (c) t
a
Let f = 13577 - 40348/3. Let t = 129 - f. Which is the third smallest value? (a) 4/5 (b) -0.1 (c) 0.2 (d) t
a
Let r = 36 + -35.08. Let m = r + 0.18. Let j = m - 1.6. Which is the third biggest value? (a) 2/5 (b) 2 (c) j
c
Let y = 21.3 + -44.3. Which is the third biggest value? (a) y (b) -0.1 (c) 1/3
a
Suppose p - 4*i + 100 = -2*i, 2*p + 192 = 2*i. Let j = 735/8 + p. Which is the biggest value? (a) 5 (b) j (c) 0
a
Let x = -1.09 - 3.61. Let j = x - -4.4. Which is the third biggest value? (a) -0.2 (b) j (c) -0.1 (d) 0
a
Let o = -0.28 - 0.12. Let y = 0.6 + o. Let f = 0.2 + y. What is the third smallest value in 2/7, f, 3?
3
Let u = 1805/3 + -602. Which is the biggest value? (a) 10/13 (b) u (c) 2
c
Let c = -2.58 + 3.38. What is the biggest value in -0.4, 5/4, c?
5/4
Let s = -151.1 + 151. What is the biggest value in s, 3, 0, 0.3?
3
Let b = -0.2 + 10.2. Let n = 2.1 - 2. Let o = 77.7 - 78. What is the third smallest value in b, o, n?
b
Let q be (14/2)/((-18)/24*4). Let w = q - -2. Let u be (-4)/(2/(-1)) + 0. What is the smallest value in u, 0, w?
w
Suppose 2*q - 6*q + 20 = -3*s, -q - 94 = 24*s. Let z = 2.5 - 2. Which is the third biggest value? (a) -1/8 (b) s (c) z
b
Let y be (-48)/(-252)*-7*(-6)/(-76). What is the fourth biggest value in y, -2, -1, 5/8?
-2
Let r be -2*(-3)/2*3. Let k be 2/r*9/12. Let s be 20/25*(-5)/2. What is the third smallest value in s, k, 2?
2
Let f = 8/19 + -62/57. Let j be (-9)/(-6)*(2 - (-4)/6). Suppose -24*u = -12*u + 36. What is the third biggest value in u, f, j?
u
Let n = 0.621 - 0.821. What is the smallest value in 4, n, -2/13?
n
Let r be (-16)/12*(-2 + (-34)/(-16)). Let w be 3 - (-4 + (-60)/(-9)). Which is the fourth smallest value? (a) w (b) r (c) 1 (d) -18
c
Let l = 138 - 138.6. Let w = -1.9 + 1. Let z = l - w. Which is the second smallest value? (a) -2/13 (b) z (c) 2
b
Let g be (-40)/(-8) + 65/(-10). Which is the smallest value? (a) -4/5 (b) g (c) -5 (d) 3
c
Let q = 211 - 215. Let j = -3 + 5. Which is the fourth smallest value? (a) -0.3 (b) j (c) 3 (d) q
c
Let h = -404 - -1211/3. What is the second smallest value in h, -10, -1/4, 0.3?
h
Suppose 3*f = 5*z - 63 - 1, -3*f - 8 = -z. Let t = z - 11. What is the third smallest value in -1, t, -5, 2/5?
2/5
Let n = -35.2 - -32. Let s = n - -2.2. Let q = s + 1.5. What is the third smallest value in -3, q, 6?
6
Let f = -2.851 - 0.149. Let c = 1.85 - -0.15. What is the smallest value in -0.1, c, f?
f
Let s = 0 - -0.1. Let n = 1.1623 - 0.1623. Which is the third biggest value? (a) n (b) -1 (c) -2 (d) s
b
Let u = -81 - -58.6. Let o = 461 + -439. Let i = o + u. What is the third biggest value in 0.2, -10, i?
-10
Let h be 0 + 1 + 0 + 9 + -7. Suppose 4*l + 4*a = 40, -h*a = l - 7 - 9. What is the biggest value in l, -0.2, 5/4, -5?
l
Let d = 0.92 - 0.77. Which is the second smallest value? (a) d (b) -1/5 (c) -1/4
b
Let n = -1027 - -5107/5. What is the biggest value in n, 2/11, 3/7?
3/7
Let i = -193 + 140. Let p = -49 - i. Which is the second smallest value? (a) -1 (b) p (c) 0
c
Let y = 972 + -971. Which is the second biggest value? (a) 0.4 (b) 156 (c) y
c
Let k = -267.7 + 268. Which is the fourth biggest value? (a) k (b) 3 (c) -2/7 (d) -1/5
c
Let o = -4957.01 + 4929. Let v = 28 + o. Let p = -0.51 - v. What is the biggest value in -5, 1, p?
1
Let r = 0.35002 - -0.04998. Let l = -0.07 - 0.23. Which is the smallest value? (a) l (b) r (c) -5 (d) 0.2
c
Suppose -w = 3*o + 8, 5*o - 2*w = -18 - 10. Suppose 0 = -17*v + 25*v + 8. What is the third biggest value in v, 22, o, 2?
v
Let n = 434.3 - 412. Let m = -22 + n. What is the second smallest value in -1/4, 1, m, 7?
m
Let j = -73 - -73. Let p be (3 + j)*(-28)/21. Which is the third smallest value? (a) 0 (b) p (c) -0.07
a
Let t = -2 - -15. Let j = 12.756 + -0.056. Let k = t - j. Which is the smallest value? (a) k (b) -2/9 (c) -5
c
Let t = -36.01 - -37.7. Let r = t - -0.01. Let n = -1.2 + r. Which is the third biggest value? (a) n (b) -5 (c) -2/3
b
Let r be (-1)/1*(-6)/((-6)/5). Let c = -25 - -53. Let m be (-32)/c*2/(-56). What is the biggest value in 0.1, m, r?
0.1
Let i = -271 + 268. Which is the third smallest value? (a) i (b) -2 (c) -1 (d) 87
c
Let f = -0.188 - -0.288. What is the third smallest value in -2, 5, f, -5?
f
Let x be 85/25 - 3 - (-8)/5. Let h be (1/x)/(-4 - (-26)/6). Which is the second biggest value? (a) -1/6 (b) 0.4 (c) -4 (d) h
b
Let t = -3 + 0. Let w = -1968.5 + 1968. Which is the fourth smallest value? (a) t (b) -4 (c) w (d) 4
d
Let z be (-6)/(-54) + 66/(-270). Which is the second smallest value? (a) -0.5 (b) z (c) -1
a
Let i = -499 - -497. Which is the biggest value? (a) -0.4 (b) 3 (c) 0.32 (d) i
b
Let k = 0.057 - 0.057. Let t = -2 + 2.3. Which is the third biggest value? (a) t (b) k (c) -4
c
Let i be (57/6 + -8)*2. Which is the smallest value? (a) -12 (b) -3/2 (c) i (d) 0.3
a
Let h be (10/(-35))/((-18)/14). Which is the second smallest value? (a) 0 (b) h (c) -4 (d) -239
c
Let s = 0.396 - 0.372. Which is the second biggest value? (a) 0.08 (b) s (c) 1
a
Let t(i) be the second derivative of -i**3/6 - 13*i**2/2 + 19*i. Let q be t(-11). What is the third small
|
{
"pile_set_name": "DM Mathematics"
}
|
**4/24 + v**3/2 + v**2. Let b(w) = 2*w - 7. Let r(k) = 2*b(k) + 5*d(k). Let j = 957 - 955. Determine r(j).
-1
Let t(d) be the second derivative of -d**4/6 - 11*d**3/6 + d**2 + 203*d. What is t(-5)?
7
Let n be 4/(40/55)*2. Suppose -8 = -10*l + n*l. Let g(c) = 7*c**2 + 13*c + 13. Let r(b) = -3*b**2 - 7*b - 7. Let m(u) = -2*g(u) - 5*r(u). Determine m(l).
1
Let i(y) = -7*y**3 - 2*y**2 - 11*y + 3. Let l(f) = f**3 + f**2 + f. Let w(j) = i(j) + 6*l(j). Let o = 451 - 448. Determine w(o).
-3
Suppose -23 = -19*o + 72. Suppose -3*n - d + 12 = -4*d, -5*d = o*n. Let y(x) = -11*x - 1. Determine y(n).
-23
Let k(s) = 6*s**3 - s**2 + s. Let i be (76/(-6))/(8/24). Let h = -37 - i. What is k(h)?
6
Let x(w) = w - 2. Let r(t) = -3*t + 1. Let p be r(0). Let z be (-4)/p - -4 - -2. Suppose z*d + 2 = d. Determine x(d).
-4
Let o(w) = -8*w - 7. Let d be -2 + 0 + 13/(13/(-2)). Calculate o(d).
25
Let u(v) = v**2 + 4*v + 4. Suppose 57 - 4 = -5*s + 2*z, 6*s + 3*z = -42. Calculate u(s).
49
Let l(f) be the third derivative of f**5/30 + f**4/12 + f**3/6 - 733*f**2. Calculate l(-3).
13
Let j(u) = 0*u**2 + 35 - u**3 + 6*u**3 + 3*u**2 - 28 - 4*u**3 + u. Determine j(-3).
4
Let y(q) be the second derivative of 31*q - 1/6*q**3 + 9/2*q**2 + 0. What is y(6)?
3
Let v = 32 - 40. Let w(z) = 4*z**3 + 7*z**2 - 7*z + 4. Let q(r) = -5*r**3 - 7*r**2 + 7*r - 3. Let l(x) = 3*q(x) + 4*w(x). Determine l(v).
-1
Suppose -172*h + 184*h + 36 = 0. Let l(n) = -n**3 - 4*n**2 - 5*n - 3. What is l(h)?
3
Let w(v) = -7 + 7*v + 7 - 3*v - 1. Let d(o) = o + 1. Let u(a) = -a**2 + 12*a + 11. Let q(y) = -6*d(y) + u(y). Let z be q(7). Calculate w(z).
-9
Let k(g) = 2*g**2 + 22*g - 24. Let y be ((-350)/(-7))/(-5) - 2. Calculate k(y).
0
Let j be ((-4)/(-2))/(8/4). Let b(v) = 4. Let z(u) = u + 11. Let m(o) = 12*b(o) - 4*z(o). Let p(f) = 1. Let x(r) = -m(r) + 4*p(r). Determine x(j).
4
Suppose -2*p = 1 + 1. Let z be (-3 + 4)*13 - 0/1. Let u(c) = -7 - 4*c - c + z*c**2 + 3*c + 6. Give u(p).
14
Suppose 19 = -4*n + 3. Let x be (-6)/n*(-32)/(-12). Suppose x = -3*j + 2*m, -5*m + 6 - 13 = j. Let h(u) = -4*u**2 - u + 1. Calculate h(j).
-13
Let x(b) = -b**3 - 5*b**2 + 7*b - 3. Let r(j) = j - 10. Let o be r(11). Suppose 0 = 2*z + 11 + o. Determine x(z).
-9
Let x(v) be the third derivative of 5*v**4/24 - 4*v**3/3 + 193*v**2. Calculate x(4).
12
Let p(h) = -h**2 + 3*h + 25. Let j(i) = -7*i - 14. Let z be j(-3). Calculate p(z).
-3
Let h = 53 + -51. Let c(v) = 1 - h*v**2 - 7 - v**3 - 3*v**2 - 9*v + 15*v**2. What is c(9)?
-6
Let w(i) = i. Let k(a) be the third derivative of 0*a - 6*a**2 - a**3 + 0 - 1/60*a**5 + 1/3*a**4. Let h be k(6). What is w(h)?
6
Let x = -12 - -18. Let n(p) = p + 3*p - x*p + 14. Let y be n(8). Let c(j) = -2*j. Determine c(y).
4
Let p(u) = -18*u + 17. Let s(v) = -3*v + 3. Let m(c) = -4*p(c) + 22*s(c). Determine m(1).
4
Let c be (-2)/5*10/(-2). Let m(i) = i**3 + 2*i**c - 8*i - 3 - 9*i**2 - 2. Suppose -1957 + 1885 = -9*z. What is m(z)?
-5
Let k(f) be the third derivative of f**6/120 + f**5/5 - f**4/2 + 5*f**3/3 - 8*f**2. Determine k(-13).
-3
Let l(m) = 19*m**3 + m**2. Let s be 9*6/351 - 30/26. What is l(s)?
-18
Let x be 8/20 + 32/(-5). Let u(m) = -m + 1. Let i be 8/(-6) + (5 + 0)/15. Let l(s) = -2*s + 9. Let w(p) = i*l(p) + 4*u(p). Determine w(x).
7
Suppose 155*w - 150*w + 5 = 0. Let o(h) = 3 + 1 - 5 + 2*h + h**2 - 3*h + 2*h**3. Calculate o(w).
-1
Let r(t) = t**2 - t + 49. Let o = 905 - 905. Give r(o).
49
Let i(c) = c**2 + c - 2 + 4*c - c. Suppose 6*u - 680 = -2*u. Let a = u - 91. Determine i(a).
10
Let k be (22275/(-108))/25*(-4)/(-3). Let x(b) = -3*b + 22. Calculate x(k).
55
Let g be (-12)/24*(-5)/((-5)/(-6)). Let d(x) = -2*x**3 - 1 + x**3 - 2*x**g. Determine d(1).
-4
Let m(o) = -o**3 - 7*o**2 - 7*o - 4. Let y be m(-6). Let p = 13 + -9. Let w(g) = p - 2*g**2 - g - 3*g - 2 + g. What is w(y)?
-12
Let a(m) = -m**3 + 11*m**2 - 13*m + 25. Let k = 1477 + -1467. Give a(k).
-5
Let s(h) = h**2 + 4*h - 2. Suppose 0 = 3*p - 3 - 9. Suppose -4*t = 4*l, p*t - 23 = 5*l + 22. Determine s(l).
3
Let f = 23701/120 - 395/2. Let r(b) be the third derivative of 1/6*b**3 + 0*b - 1/20*b**5 + 9*b**2 + f*b**6 + 0 - 1/6*b**4. Calculate r(4).
1
Let i(q) = q**2 + 1. Let o(h) = -2*h**3 + h - 1. Suppose 3*u - 1 = 2*u. Let g be o(u). What is i(g)?
5
Let z(u) = -2*u - 1. Let h(p) = 7*p + 16. Let o be h(-3). Let t be (o/4)/(9/(-36)). Calculate z(t).
-11
Let z(t) = -t**3 + 10*t**2 - 12*t + 30. Let k be z(9). Let u(q) = q**3 - q**2 - 2*q + 2. Give u(k).
14
Let k = 122 + -120. Let p(r) = -263*r**3 + r**k + 0*r**2 - 2 + 264*r**3 - 2*r. Determine p(-3).
-14
Let h(y) = y + 1. Suppose -2*l + p - 6 = -5, 31 = 3*l + 5*p. Let g be -1 - -1 - -2*5. Suppose -g = -5*c + 3*t, -l*c + 2*t - 5 = -t. Give h(c).
6
Let l(h) = -h**3 - 15*h**2 - h. Let u be l(-15). Suppose 0 = -u*p + 1 - 16. Let j(m) = 1 + 4*m - 3*m + 1. Give j(p).
1
Let v(i) = 10*i - 22. Let o(r) = -3. Let f(n) = 5*o(n) - v(n). What is f(2)?
-13
Let k be (6/4)/(45/60). Let s(d) = 6 + 9*d**2 - 10*d**k - 9*d**2 - 19 + d**3 + 2*d. Calculate s(10).
7
Let y(z) = -z - 3. Let k be y(-9). Let n(g) = g**3 - 6*g**2 + 2*g - 12. Let o be n(k). Let s(t) = 2*t + t**3 + 6*t**2 + o*t**2 + 0*t - 5 - t. What is s(-5)?
15
Let r(d) = -d**2 - 16*d - 21. Let f(s) = s + 1. Let q(m) = f(m) + r(m). Give q(-14).
-6
Let n be 2 + 1 + (-24)/4. Let g be (n/2)/(7/14). Let d(c) = 9*c**2 + 5*c + 3. Let k(r) = 14*r**2 + 7*r + 4. Let h(m) = -8*d(m) + 5*k(m). Give h(g).
-7
Let v(j) = j**3 - 9*j**2 + 9. Suppose 24 - 87 = -7*w. Give v(w).
9
Let u(v) = v**2 - 5*v - 3. Let g be ((-10)/(-15))/(8/48). Give u(g).
-7
Let b(q) be the second derivative of -q**3/2 - 3*q**2/2 + q. Let j be b(-6). Suppose j = 2*h + h. Let w(d) = -d**3 + 6*d**2 - 2*d - 3. Give w(h).
12
Let h(x) = 124 + 2*x**2 - 41 - 3*x - 43 - 42. What is h(4)?
18
Let b(j) = -j**3 - 3*j**2 + 2*j + 1. Let d = -12 - -17. Let u be (-6 + d)/((-1)/(-13)). Let m = 9 + u. Give b(m).
9
Suppose 4*a + 0*h + 4*h = -8, 2 = -3*a - 2*h. Let j(y) = -12*y**2 - 4*y**3 - a*y + 9*y**2 + 7*y**2. Give j(2).
-20
Let q = -76 - -67. Let i(s) = -s**2 - 10*s + 2. What is i(q)?
11
Suppose 0 = 4*n - 4, -2*n = 2*o - 6*n. Let c(m) = m**3 + 2*m**2 - 3*m. Give c(o).
10
Let q be -3*((-70)/15 - -4). Let v(t) = 5*t + 0*t**q + 2*t + 4 + t**2. Calculate v(-6).
-2
Let p(x) = 2*x - 2 + 4*x - 3*x. Let s(t) = t. Let i(y) = -p(y) + 4*s(y). Calculate i(-7).
-5
Let s(g) = -g**3 - 1 - 4*g**2 + g**3 - g**3 + g - 5. Calculate s(-5).
14
Let f(g) = 3*g. Let y be (-20)/12 + (-4)/(-6). Let k(j) = 3*j**2 + 3 + 4*j - 2*j**3 + 4*j**3 - 2*j - 5*j**2. Let v be k(y). Give f(v).
-9
Let c(a) = a**2 + a - 1. Let h(y) = -y**3 - y**2 - 10. Let i(x) = -3*c(x) + h(x). What is i(-3)?
-7
Let z(o) = o**3 + o**2 - o + 1. Let n(u) = 4*u**3 + 11*u**2 - 8*u + 10. Let l(k) = n(k) - 5*z(k). What is l(6)?
-13
Let j(u) = -u**2 + 32*u - 17*u + 7 - 25*u - 4. What is j(-10)?
3
Let v(h) = 16*h**2 - h + h**3 - 5*h**3 - 11*h**2 + 3*h**3 - 4. Calculate v(4).
8
Let m(g) be the second derivative of -g**6/36 + g**5/120 - 2*g**3 - 10*g. Let h(z) be the second derivative of m(z). Determine h(-1).
-11
Let j(h) = -2*h**2 - h + 3. Let o be (-6)/((-11)/(-77)*(9 + 5)). Determine j(o).
-12
Let x(j) = 2*j + 5. Let m(y) = 0*y + 9*y - y - 3*y + 10. Let d be m(-3). Determine x(d).
-5
Let s(h) = -h - 5. Let a = 2093 - 2099. Calculate s(a).
1
Suppose -p - 8 = 2*t - 6*p, 2*t + 2*p = 6. Let v(d) = -7*d - 1. What is v(t)?
-8
Let u(f) = -3 - 2 + 3*f**2 + 6 + f. Let s(n) = -n**2 - n. Let d(b) = -2*s(b) - u(b). Calculate d(2).
-3
Let i(w) = -w**2 + 4*w + 13. Let x(b) = -8*b + 6. Let f be x(0). Give i(f).
1
Let k(b) = -51*b + 1 - 1 + 30*b + 26*b + 2. Give k(-4).
-18
Let l = -15 - -20. Suppose l*n = 4*n + 2. Let r(j) = -j - 23*j**2 - 7 + 13*j**n + 9*j**2. Give r(0).
-7
Let s(r) = -r**2 - 917*r - 2744. Let x be s(-3). Let z(i) = 2 - 4*i - i + 3*i. Determine z(x).
6
Let z(o) = -2 + 0*o - 7*o - 4*o**2 - o + 5*o. Calculate z(-2).
-12
Let f(j) = 68003 - 68002 + j + 7*j. Let w = -2 - -8. Suppose 0 = 4*c + 2*a, 0*c = 4*c - a + w. Calculate f(c).
-7
Suppose 0 = 3*i + 15, 2*b - 3*i - 16 = b. Suppose 0 = -s - b + 2. Let c(f) = -1 - 1 + 2*f + 5 + s. What is c(-4)?
-4
Let b(r) = -3*r + 1. Let h = -116 + 112. What is b(h)?
13
Let j(f) = -2 - 2*f**2 + 3 - 3*f**3 + 4*f**3. Let u(t) = t**2 - 3*t. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
est value in -22, -29, 1, 644?
1
Which is the biggest value? (a) -1/155 (b) -25/9 (c) -54.7
a
What is the third smallest value in 9, 1, 1/21, -3/397?
1
Which is the fifth smallest value? (a) -741.3 (b) -6 (c) -1/2 (d) -2/9 (e) 2/3 (f) -2 (g) 1/4
d
What is the third biggest value in 0.3, -3, 7.75, 2/21, -7?
2/21
Which is the third smallest value? (a) -0.3 (b) 44 (c) 3 (d) -20/11 (e) -0.07
e
What is the smallest value in 0.36681, 1/2, 118.6?
0.36681
Which is the third smallest value? (a) -0.5 (b) 0.4478 (c) 0.6 (d) -1/4 (e) 1 (f) 0.1
f
What is the fourth smallest value in 4, -0.03, -113, -1/12491?
4
Which is the third smallest value? (a) -1/7 (b) -2 (c) 220977 (d) -3
a
Which is the second biggest value? (a) -78754 (b) 24/17 (c) -3
c
What is the biggest value in 13/41, -0.1, 4068?
4068
Which is the second biggest value? (a) 1/5 (b) -3/2 (c) -8/7 (d) -1
d
What is the third smallest value in -9862, -0.2, 3, 2/3, 12?
2/3
What is the third smallest value in -67, 2/9, 143868?
143868
Which is the third biggest value? (a) 0.5 (b) 5 (c) 0.6 (d) 2 (e) 21/2 (f) -4
d
Which is the smallest value? (a) -32/5 (b) -91/8 (c) 2 (d) -3.5
b
Which is the fourth smallest value? (a) 150 (b) 22.3 (c) -1.76 (d) -1/3
a
Which is the biggest value? (a) 194 (b) 1 (c) -37084 (d) 14 (e) -1
a
What is the biggest value in -2/11, -2479/1527, 2/5?
2/5
What is the smallest value in -4765.9, 0.1, -1/10, 1, 6/5?
-4765.9
Which is the fourth biggest value? (a) 1/6 (b) -183 (c) 643 (d) 0.3
b
Which is the fourth smallest value? (a) 39 (b) -20 (c) -7 (d) 0.3 (e) -2/3
d
What is the second smallest value in 0.2, -3.7, 2, 48675, 1.1?
0.2
Which is the smallest value? (a) -6/393325 (b) -2/11 (c) 2/9
b
Which is the smallest value? (a) -48 (b) -12 (c) 4/57 (d) -3/2 (e) 1 (f) -3/5 (g) -1
a
Which is the fourth smallest value? (a) 81.7 (b) -1 (c) -0.1 (d) 5 (e) 1 (f) 4/5
e
Which is the fourth smallest value? (a) -261 (b) -4 (c) -5 (d) 0 (e) 0.061 (f) -5/2 (g) -8
b
What is the third smallest value in 4.4, 0.3, -736, 13, -17?
0.3
What is the second smallest value in 0.4, -79, 2/9, 3, -9285?
-79
Which is the biggest value? (a) -2009 (b) -2 (c) 674
c
Which is the biggest value? (a) 1 (b) 2/7 (c) 11 (d) 2/25 (e) 1/3 (f) -1/6 (g) -4160
c
What is the second smallest value in 313.7, -43/6, -86?
-43/6
Which is the second smallest value? (a) -0.1 (b) 504/5 (c) 1 (d) 0.2 (e) 3229
d
What is the second biggest value in 3, -5, -633, 1/3, 341, 0, 5/3?
3
Which is the third biggest value? (a) 46881 (b) -0.1 (c) 0.7 (d) 0.1
d
What is the sixth smallest value in 0, -14, 8, -4/11, -21, -3, -5?
0
What is the third smallest value in 1.4, 765581, 2?
765581
What is the seventh smallest value in -2, -0.3, -0.2, 3, 51, 1/6, 0.23?
51
What is the sixth biggest value in -25201, -0.2, -3/5, 4, 7, 5, 0.5?
-3/5
Which is the biggest value? (a) -0.3 (b) -4 (c) 7.7244
c
Which is the second smallest value? (a) 0.5 (b) -6209 (c) -1/221
c
What is the smallest value in -0.1, 2/15, 1/57571?
-0.1
Which is the third smallest value? (a) 1.1 (b) -5/3 (c) -0.0345 (d) -2/7 (e) 1
c
What is the seventh smallest value in 4, -2, 1, 0.1, -4, 55, 394?
394
Which is the fourth smallest value? (a) 2193 (b) 1/3 (c) 11 (d) 3
a
What is the fourth smallest value in 1/4, -37, 9, 2/5, -130?
2/5
What is the fourth smallest value in -18/437, -9, 2/3, -428?
2/3
What is the second smallest value in -0.5, -75, 597/35?
-0.5
Which is the third smallest value? (a) 4 (b) 31 (c) -200691
b
What is the seventh biggest value in 0.5, 1393, -34, -2/5, 3/7, 4/9, 3?
-34
What is the second smallest value in -91, -5, 59/6, 114?
-5
What is the fifth smallest value in -14/55, -0.1, -2/5, -2, -98?
-0.1
Which is the third biggest value? (a) 5 (b) -3/20425 (c) -2 (d) 1/2 (e) -13 (f) 1/4 (g) 3
d
What is the second biggest value in 2/5, 0, 0.19766?
0.19766
Which is the third biggest value? (a) -46 (b) 135 (c) -0.2 (d) 4 (e) -2/5833
e
Which is the fifth biggest value? (a) 8 (b) 28 (c) -0.3 (d) 40 (e) 3 (f) -2
c
What is the second biggest value in 0.01, -2.85, 2, 5, -461?
2
What is the second biggest value in 30, 2, 0.1, -0.1, -268.3, -4, 0.5?
2
What is the fifth smallest value in 1, 203, -78, -0.3, -4, -0.2, 13?
1
Which is the third smallest value? (a) 21 (b) -1/4 (c) 0 (d) -13 (e) -10 (f) 52 (g) 1
b
Which is the second smallest value? (a) -0.4 (b) 2 (c) -0.286 (d) 0.06 (e) 0.514
c
Which is the second biggest value? (a) -4.8 (b) 11805.298 (c) -1/5
c
What is the third biggest value in -480, 41, -33?
-480
Which is the biggest value? (a) -0.2 (b) 1/6 (c) 2/189 (d) -2 (e) -19 (f) 2/3 (g) -1.4
f
What is the smallest value in 10.4, -2, 191, 12?
-2
Which is the fourth biggest value? (a) -1/3 (b) 5 (c) 2/3 (d) 149/6 (e) -3 (f) 102 (g) -0.5
c
What is the second biggest value in 33469, -1.6, 2/5?
2/5
What is the fifth biggest value in 3, 4, -26, 42.087, -2/5?
-26
Which is the fifth smallest value? (a) -4259 (b) 1/6 (c) -0.2 (d) -3/7 (e) 0.04 (f) -2
e
What is the sixth biggest value in -11/8, 1/7, 7, -1/4, -1, -5, 80?
-11/8
What is the fourth smallest value in 2/3, -2.634, 0.2, 111, -123?
2/3
What is the sixth biggest value in 1/341, -1, -0.08, -0.58, -4/3, -0.2?
-4/3
Which is the fourth smallest value? (a) -96/7 (b) -1 (c) -5 (d) 265389
d
What is the biggest value in 7, -1859613, -5?
7
Which is the smallest value? (a) 6 (b) -6/5 (c) -862
c
Which is the biggest value? (a) 1/3 (b) 1.01 (c) 19457
c
What is the second smallest value in -0.09, 0.5, 23, -0.07, -8.2, -1/7, 0.2?
-1/7
What is the smallest value in 5, 20414, 2/5, -0.74?
-0.74
What is the fourth biggest value in -1/4, 4596, -0.2, 0.011, 0.3?
-0.2
Which is the fourth smallest value? (a) -16 (b) 21/25 (c) -0.14 (d) -2 (e) -4
c
What is the second biggest value in 1, 1261253, 0?
1
Which is the second smallest value? (a) 2/297721 (b) -100 (c) 1/7
a
What is the seventh smallest value in 57, 2.09, -3, 4, 0.4, 204, -0.3?
204
What is the third biggest value in 1/2, -13/40, -1/8, 1, -1/2, 1/3, 3/4?
1/2
What is the sixth biggest value in -0.27, 11, -4, 87.1, -1/3, -2, -4/3?
-2
Which is the second smallest value? (a) -3/8 (b) -5 (c) -3 (d) -429 (e) -1/171
b
Which is the fourth biggest value? (a) -10 (b) -2 (c) 0 (d) -2/13 (e) -695 (f) 0.1 (g) 2/23
d
What is the sixth biggest value in 7/4, -0.5, 0, 0.2, 5152, -13?
-13
What is the smallest value in 5, -2/3, 0.5, -4/5, -30.7, -2/29?
-30.7
Which is the fourth biggest value? (a) -1/1088 (b) 2/3 (c) -81/5 (d) 2
c
Which is the fourth biggest value? (a) 15/2 (b) 0.21 (c) 3 (d) 162 (e) 4
c
What is the third biggest value in 17, -104, 3/5, -15, -1, 0.5, 46?
3/5
Which is the fifth biggest value? (a) 0 (b) 2 (c) -0.1 (d) 28 (e) -3/17 (f) 1
c
Which is the fourth smallest value? (a) 1/8 (b) 2 (c) -2 (d) -0.6 (e) 2/5 (f) 0.1 (g) 56/17
a
Which is the sixth smallest value? (a) -2 (b) -3163 (c) -4/9 (d) 0.25 (e) -4/7 (f) -0.3
d
What is the third biggest value in -1/4, -2, 0, 8211, -6, -0.2?
-0.2
What is the smallest value in -0.4, 1, -4440, -0.3, -2/3, -3, -12?
-4440
What is the third biggest value in 2, -193, -2277, 12, -4?
-4
What is the second smallest value in 29, -1/4, -81143?
-1/4
Which is the sixth smallest value? (a) 2/19 (b) -11.44 (c) 2 (d) -0.2 (e) 1 (f) 9
f
What is the sixth biggest value in -28/39, 2/47, -2, 0.5, 1, -1.947?
-2
What is the second smallest value in 384, -1032, -4, 6?
-4
Which is the fifth biggest value? (a) -0.3 (b) 2/29 (c) -60 (d) -135/4 (e) 3/4
c
Which is the third biggest value? (a) 11/4 (b) 1/4 (c) 2/13 (d) 10435 (e) -1/4 (f) -0.2
b
Which is the second smallest value? (a) 2/7 (b) -193485/8 (c) -28
c
What is the third biggest value in 4, -8, -4.1, 2.2115?
-4.1
What is the third biggest value in 0.09, -7, -0.4, 0.6, 0.04, -0.5, 2/517?
0.04
What is the fourth biggest value in 2/3, 0.2, -0.4, 0.009, -0.0825, 2/5, -7?
0.009
Which is the biggest value? (a) -2/17 (b) -1 (c) -0.8602306
a
Which is the smallest value? (a) 2/308195659 (b) 2 (c) -0.1
c
What is the sixth biggest value in 4, -46, 2/7, -316, -0.2, -3, -39?
-46
What is the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 31. Give d(1).
8
Let h(b) = 98*b - 619. Determine h(6).
-31
Let y(g) = 54*g**3 - g**2 - 6*g - 5. What is y(-1)?
-54
Let g(y) = -28*y + 1104. Calculate g(42).
-72
Let a(y) = -2*y**3 + 12*y**2 + 5*y - 57. Give a(6).
-27
Let s(n) = -7*n**2 + 292*n + 19. Calculate s(44).
-685
Let m(t) = t**2 - 269*t - 12135. What is m(-39)?
-123
Let i(w) = 34*w - 326. Calculate i(9).
-20
Let g(y) = -y**2 + 90*y + 9888. Calculate g(-64).
32
Let s(d) = -d**3 + 27*d**2 + 158*d + 52. Give s(32).
-12
Let l(d) = d**3 - 72*d**2 + 670*d + 62. What is l(61)?
1
Let f(k) = k**3 + 14*k**2 - 70*k - 64. What is f(-18)?
-100
Let u(o) = -11*o**2 - 6*o. Calculate u(2).
-56
Let c(q) = q**3 + 43*q**2 + 265*q - 63. Calculate c(-8).
57
Let r(u) = -3*u**3 - 2*u**2 - 17*u + 101. Calculate r(0).
101
Let q(v) = 2*v**3 - 13*v**2 + 19*v - 91. What is q(6)?
-13
Let z(f) = -f**3 + 14*f**2 - 8*f + 116. What is z(14)?
4
Let z(m) = -m**3 + 9*m**2 - 20*m + 9. Calculate z(8).
-87
Let d(i) = -3*i**3 - 72*i**2 - 210*i - 7. Give d(-3).
56
Let o(c) = 2*c**2 - 189*c - 602. Give o(98).
84
Let i(q) = -2*q**2 + 297*q + 1209. Determine i(-4).
-11
Let i(a) = -6*a**2 + 248*a + 159. Give i(42).
-9
Let f(g) = -3*g**2 + 129*g + 270. Give f(45).
0
Let b(p) = 16*p + 311. Determine b(-26).
-105
Let m(z) = -87*z + 47. What is m(-5)?
482
Let b(x) = -41*x - 1166. What is b(-38)?
392
Let v(n) = n**2 + 17*n + 67. What is v(-7)?
-3
Let z(o) = o**3 + 60*o**2 + 151*o - 1158. Calculate z(-57).
-18
Let m(w) = -103*w - 2267. What is m(-22)?
-1
Let v(p) = -76*p + 95. Give v(0).
95
Let z(y) = y**3 + 226*y**2 - 489*y - 7531. Determine z(-228).
-7
Let k(y) = -13*y - 741. What is k(-59)?
26
Let t(m) = 3*m**3 + 2*m**2 + 3*m + 10. What is t(-3)?
-62
Let m(a) = 195*a + 3107. Calculate m(-16).
-13
Let g(x) = 1969*x + 1956. What is g(-1)?
-13
Let x(c) = -6*c**2 - 20*c - 8. What is x(-4)?
-24
Let n(t) = -21*t**2 + 9*t - 5. Give n(2).
-71
Let k(z) = -22*z**3 + 189*z**2 + 12*z - 16. Calculate k(9).
-637
Let l(y) = 2*y**3 - 12*y**2 - 3. Calculate l(5).
-53
Let x(i) = -243*i + 709. Calculate x(3).
-20
Let c(p) = -37*p + 38. Calculate c(-6).
260
Let h(f) = 2*f**2 - 34*f - 24. Give h(18).
12
Let p(v) = 35*v**3 - 15*v - 14. Give p(-1).
-34
Let a(j) = 54*j + 752. Calculate a(-14).
-4
Let r(n) = 48*n + 2014. Give r(-46).
-194
Let q(k) = -k**3 - 63*k**2 - 67*k - 265. Determine q(-62).
45
Let g(t) = t**2 + 31*t + 169. Calculate g(-21).
-41
Let o(r) = -r**3 + 41*r**2 - 404*r - 83. Determine o(24).
13
Let u(b) = 68*b + 177. Determine u(-4).
-95
Let j(q) = -q**2 - 39*q - 114. Determine j(-33).
84
Let s(q) = -5*q + 10. Determine s(-1).
15
Let l(c) = 21*c + 55. Give l(-2).
13
Let x(u) = -2*u**3 - 94*u**2 - 6*u - 287. What is x(-47)?
-5
Let h(j) = -j**3 - 30*j**2 - 79*j + 49. Calculate h(-27).
-5
Let y(k) = 18*k - 130. What is y(7)?
-4
Let p(x) = -46*x + 11867. Calculate p(258).
-1
Let n(z) = 6*z + 59. Give n(-17).
-43
Let a(q) = q**3 + 38*q**2 + 44*q + 175. What is a(-37)?
-84
Let o(x) = 17*x**2 - 5*x + 8. What is o(2)?
66
Let c(i) = 5*i**2 - 16*i + 63. Give c(4).
79
Let b(n) = -3*n**2 - 4*n + 15. Calculate b(-4).
-17
Let a(h) = -2*h**3 - 40*h**2 - 177*h - 58. Give a(-17).
1217
Let l(h) = -3*h**2 + 290*h + 1234. Calculate l(101).
-79
Let a(z) = 7*z**2 - 17*z + 23. Give a(3).
35
Let z(d) = -2*d**2 + 33*d + 93. Give z(18).
39
Let w(r) = 117*r - 2378. Give w(20).
-38
Let a(v) = -v**3 + 65*v**2 - 595*v + 23. Determine a(11).
12
Let j(i) = i**2 - 66*i + 367. Calculate j(58).
-97
Let b(s) = -6*s**2 + 112*s - 530. What is b(11)?
-24
Let b(p) = -68*p**2 + 69*p + 146. Give b(-2).
-264
Let n(d) = 625*d + 3077. Determine n(-5).
-48
Let u(x) = -5*x**2 - 2325*x - 2327. Calculate u(-1).
-7
Let k(s) = 121*s + 1241. Determine k(-8).
273
Let u(h) = h**3 + 16*h**2 - 2437*h - 60. Calculate u(-58).
-2
Let r(n) = n**3 + 11*n**2 - 7*n + 58. Determine r(-12).
-2
Let g(w) = -12*w**2 - 362*w - 55. What is g(-30)?
5
Let k(s) = 8430*s + 50570. Calculate k(-6).
-10
Let r(k) = -2819*k - 138132. What is r(-49)?
-1
Let v(o) = -11*o**2 - 1266*o + 1158. What is v(-116)?
-2
Let g(d) = 25*d**2 + 145*d - 5. Calculate g(-7).
205
Let v(r) = -91*r**2 + 6*r + 7. Calculate v(-1).
-90
Let x(d) = 263*d + 1924. Determine x(-8).
-180
Let j(d) = -26*d + 28. Calculate j(1).
2
Let q(z) = 11983*z + 35968. Determine q(-3).
19
Let i(v) = 52*v + 122. Give i(-5).
-138
Let j(t) = -11*t**2 + 178*t - 27. Determine j(18).
-387
Let a(u) = -368*u + 2193. What is a(6)?
-15
Let q(m) = m**2 + 15*m - 167. What is q(14)?
239
Let m(d) = -d**3 - 9*d**2 - 66*d - 190. Determine m(-4).
-6
Let p(v) = -v**2 - 1454*v + 2908. Calculate p(2).
-4
Let u(v) = 2*v**2 - 14*v - 53. Give u(11).
35
Let r(o) = -3*o**3 - 185*o**2 + 67*o + 338. Calculate r(-62).
28
Let l(p) = p**3 - 7*p**2 + 31*p - 151. What is l(6)?
-1
Let f(t) = t**2 - 90*t + 1063. Determine f(76).
-1
Let l(p) = 163*p + 541. Calculate l(-3).
52
Let d(w) = -4*w**2 - 316*w + 676. Determine d(-81).
28
Let y(z) = -28*z**2 + 23*z - 1. Give y(1).
-6
Let j(t) = t**2 + 288*t - 2086. Determine j(7).
-21
Let v(f) = -f**3 - 37*f**2 - 101*f + 34. Give v(-34).
0
Let t(d) = -228*d + 1490. Give t(6).
122
Let g(p) = -2*p**2 + 44*p + 868. Determine g(-13).
-42
Let c(x) = 3*x**3 - 36*x**2 - x - 21. Determine c(12).
-33
Let f(x) = 10*x**2 - 261*x + 279. What is f(25)?
4
Let h(j) = 45*j**2 + 231*j + 29. Determine h(-5).
-1
Let n(d) = -3*d + 169. What is n(37)?
58
Let u(a) = 31*a**3 - 130*a**2 + 19*a + 22. What is u(4)?
2
Let c(g) = 37*g**3 - 2*g**2 + 3. What is c(1)?
38
Let a(h) = 24*h**3 - 92*h**2 + 91*h - 1. What is a(1)?
22
Let r(a) = a**3 - 13*a**2 + 42*a + 37. What is r(6)?
37
Let w(k) = -k**3 + 2*k**2 + 37*k + 7. What is w(-5)?
-3
Let r(c) = -2*c**3 + c**2 + 59*c + 156. Determine r(-3).
42
Let h(v) = -v**3 - v**2 - 19*v - 69. Determine h(-3).
6
Let y(d) = 121*d + 1323. Calculate y(-11).
-8
Let n(z) = z**2 + 177*z - 1878. Determine n(10).
-8
Let n(y) = -83*y - 540. Determine n(-7).
41
Let y(h) = h**2 - 40*h - 4085. Give y(-47).
4
Let w(y) = -y**3 - 17*y**2 - 18*y - 32. Give w(-16).
0
Let d(q) = -216*q**3 + 1294*q**2 + 13*q + 2. Determine d(6).
8
Let m(d) = -d**3 + 14*d**2 - 27*d + 380. Calculate m(14).
2
Let n(j) = j**2 - 15*j - 138. What is n(26)?
148
Let p(a) = -a**2 + 1423*a + 20093. Give p(-14).
-25
Let o(q) = 2*q**3 + 21*q**2 + 11*q + 17. Give o(-7).
283
Let j(h) = 2*h**2 - 39*h - 59. What is j(20)?
-39
Let x(j) = j**3 + 43*j**2 - 55*j + 1562. What is x(-45)?
-13
Let w(r) = -r**3 + 24*r**2 + 28*r - 30. What is w(25)?
45
Let l(v) = 49*v - 80. Calculate l(1).
-31
Let g(j) = -108*j - 7755. Calculate g(-72).
21
Let a(f) = 21392*f + 64164. Give a(-3).
-12
Let h(c) = 37*c - 56. Give h(21).
721
Let i(y) = 38*y + 157. Calculate i(-4).
5
Let d(u) = -71*u**2 - 7*u - 27. What is d(-4)?
-1135
Let h(t) = -12*t + 76. What is h(11)?
-56
Let m(s) = 11*s - 691. What is m(5)?
-636
Let q(u) = u**2 - 59*u + 881. Calculate q(15).
221
Let a(m) = -86*m + 83. Give a(-2).
255
Let v(w) = w**3 - 24*w**2 + 135*w + 20. What is v(10)?
-30
Let t(b) = 2*b**3 - 27*b**2 + 7*b + 61. Give t(13).
-17
Let u(b) = 455*b - 5009. What is u(11)?
-4
Let y(t) = -6*t**3 - 7*t + 11. Calculate y(2).
-51
Let z(h) = -2*h**3 + 12*h**2 + 7. Give z(6).
7
Let w(m) = m**3 + 18*m**2 + 31*m - 24. What is w(-15)?
186
Let v(z) = 93*z**2 + 74*z - 75. What is v(1)?
92
Let t(y) = -143*y - 1891. Calculate t(-13).
-32
Let p(w) = w**3 + 16*w**2 + 55*w + 22. Give p(-4).
-6
Let o(s) = 452*s + 5423. What is o(-12)?
-1
Let d(q) = -3742*q - 22443. Calculate d(-6).
9
Let u(c) = -25*c**3 + 404*c**2 - 64*c + 6. Give u(16).
6
Let w(x) = -4*x**3 + 194*x**2 + 98*x - 7. Calculate w(49).
-7
Let w(g) = 2*g**3 - 21*g**2 + 7*g + 50. Determine w(10).
20
Let b(f) = -156*f - 1272. Determine b(-7).
-180
Let p(h) = -4*h**2 + 779*h + 6473. Determine p(-8).
-15
Let n(l) = -l**2 + 6*l + 64. Give n(-6).
-8
Let n(b) = -11*b**2 - 48*b - 12. Calculate n(-4).
4
Let a(b) = -17*b - 1337. Determine a(-73).
-96
Let v(t) = 3*t**2 - 77*t + 382. Calculate v(19).
2
Let z(x) = x**3 - 44*x**2 - 196*x - 4. Calculate z(-4).
12
Let k(g) = -5*g**3 + 28*g**2 + 21*g - 3. Give k(6).
51
Let a(m) = -1701*m + 25515. Give a(15).
0
Let u(t) = 14*t**2 - 3*t - 1. Determine u(1).
10
Let c(m) = -10*m**3 + 2*m**2 - 2. Calculate c(1).
-10
Let g(z) = 3*z + 279. Calculate g(-6).
261
Let o(
|
{
"pile_set_name": "DM Mathematics"
}
|
units digit of 1127?
7
What is the tens digit of 3142?
4
What is the tens digit of 2444?
4
What is the tens digit of 19245?
4
What is the hundreds digit of 42397?
3
What is the units digit of 1738?
8
What is the ten thousands digit of 84862?
8
What is the tens digit of 28168?
6
What is the hundreds digit of 4979?
9
What is the thousands digit of 6615?
6
What is the hundreds digit of 28469?
4
What is the units digit of 56571?
1
What is the hundreds digit of 5750?
7
What is the tens digit of 1558?
5
What is the tens digit of 7951?
5
What is the thousands digit of 7708?
7
What is the tens digit of 2295?
9
What is the ten thousands digit of 126293?
2
What is the thousands digit of 1067?
1
What is the hundreds digit of 3203?
2
What is the hundreds digit of 580?
5
What is the ten thousands digit of 29053?
2
What is the units digit of 2011?
1
What is the hundreds digit of 1443?
4
What is the tens digit of 32?
3
What is the hundred thousands digit of 139930?
1
What is the hundreds digit of 3942?
9
What is the thousands digit of 6898?
6
What is the units digit of 7189?
9
What is the hundreds digit of 74934?
9
What is the units digit of 388?
8
What is the hundreds digit of 547?
5
What is the tens digit of 573?
7
What is the hundreds digit of 22870?
8
What is the tens digit of 8194?
9
What is the units digit of 997?
7
What is the hundreds digit of 158?
1
What is the hundreds digit of 172045?
0
What is the hundreds digit of 5271?
2
What is the tens digit of 231?
3
What is the tens digit of 719?
1
What is the tens digit of 1611?
1
What is the hundreds digit of 4956?
9
What is the hundreds digit of 12023?
0
What is the hundreds digit of 101?
1
What is the thousands digit of 3676?
3
What is the hundreds digit of 4166?
1
What is the hundreds digit of 30790?
7
What is the thousands digit of 30303?
0
What is the thousands digit of 1217?
1
What is the hundreds digit of 1374?
3
What is the units digit of 2836?
6
What is the hundreds digit of 60688?
6
What is the units digit of 27077?
7
What is the units digit of 1907?
7
What is the units digit of 20302?
2
What is the hundreds digit of 9543?
5
What is the hundreds digit of 68773?
7
What is the tens digit of 6168?
6
What is the thousands digit of 1820?
1
What is the hundreds digit of 30816?
8
What is the hundreds digit of 44660?
6
What is the hundreds digit of 58022?
0
What is the units digit of 25547?
7
What is the hundreds digit of 35265?
2
What is the units digit of 2352?
2
What is the hundreds digit of 502?
5
What is the ten thousands digit of 45614?
4
What is the hundreds digit of 1150?
1
What is the units digit of 116908?
8
What is the thousands digit of 6300?
6
What is the units digit of 702?
2
What is the tens digit of 5395?
9
What is the units digit of 95826?
6
What is the hundreds digit of 10175?
1
What is the tens digit of 197?
9
What is the hundreds digit of 1565?
5
What is the units digit of 10716?
6
What is the tens digit of 131252?
5
What is the units digit of 189?
9
What is the hundreds digit of 535?
5
What is the tens digit of 15122?
2
What is the units digit of 12892?
2
What is the thousands digit of 8600?
8
What is the ten thousands digit of 32222?
3
What is the units digit of 1897?
7
What is the tens digit of 774?
7
What is the hundreds digit of 1282?
2
What is the thousands digit of 6163?
6
What is the tens digit of 9333?
3
What is the tens digit of 1011?
1
What is the hundreds digit of 487?
4
What is the hundreds digit of 34487?
4
What is the thousands digit of 3514?
3
What is the units digit of 7607?
7
What is the tens digit of 1763?
6
What is the thousands digit of 3333?
3
What is the tens digit of 12344?
4
What is the units digit of 789?
9
What is the thousands digit of 11118?
1
What is the tens digit of 88176?
7
What is the units digit of 65952?
2
What is the thousands digit of 76642?
6
What is the units digit of 1038?
8
What is the hundreds digit of 310?
3
What is the hundreds digit of 47925?
9
What is the units digit of 1234?
4
What is the thousands digit of 1424?
1
What is the hundreds digit of 310?
3
What is the tens digit of 789?
8
What is the thousands digit of 3259?
3
What is the units digit of 13253?
3
What is the hundreds digit of 62483?
4
What is the ten thousands digit of 40439?
4
What is the tens digit of 447?
4
What is the tens digit of 1006?
0
What is the hundreds digit of 1300?
3
What is the hundreds digit of 713?
7
What is the tens digit of 6158?
5
What is the tens digit of 3578?
7
What is the units digit of 1031?
1
What is the hundreds digit of 3854?
8
What is the units digit of 36?
6
What is the units digit of 42854?
4
What is the hundreds digit of 5265?
2
What is the tens digit of 55092?
9
What is the units digit of 2198?
8
What is the tens digit of 2171?
7
What is the hundreds digit of 25566?
5
What is the thousands digit of 9762?
9
What is the ten thousands digit of 77523?
7
What is the tens digit of 174?
7
What is the hundreds digit of 54535?
5
What is the units digit of 2771?
1
What is the tens digit of 7632?
3
What is the tens digit of 727?
2
What is the tens digit of 26826?
2
What is the tens digit of 931?
3
What is the units digit of 3932?
2
What is the units digit of 2088?
8
What is the units digit of 29668?
8
What is the hundreds digit of 3302?
3
What is the tens digit of 11072?
7
What is the units digit of 563?
3
What is the ten thousands digit of 37642?
3
What is the units digit of 10721?
1
What is the hundreds digit of 4625?
6
What is the units digit of 43429?
9
What is the thousands digit of 1767?
1
What is the hundreds digit of 21944?
9
What is the units digit of 22637?
7
What is the hundreds digit of 531?
5
What is the units digit of 4148?
8
What is the ten thousands digit of 42770?
4
What is the thousands digit of 26544?
6
What is the tens digit of 3447?
4
What is the hundreds digit of 1233?
2
What is the units digit of 536?
6
What is the thousands digit of 5621?
5
What is the hundreds digit of 2170?
1
What is the tens digit of 403?
0
What is the units digit of 314?
4
What is the tens digit of 33919?
1
What is the hundreds digit of 566?
5
What is the tens digit of 3915?
1
What is the tens digit of 21741?
4
What is the hundreds digit of 7941?
9
What is the units digit of 34852?
2
What is the tens digit of 4903?
0
What is the ten thousands digit of 44906?
4
What is the units digit of 6487?
7
What is the units digit of 1063?
3
What is the units digit of 893?
3
What is the units digit of 6?
6
What is the thousands digit of 2023?
2
What is the units digit of 43?
3
What is the thousands digit of 1129?
1
What is the tens digit of 4867?
6
What is the tens digit of 212?
1
What is the units digit of 5824?
4
What is the thousands digit of 63599?
3
What is the hundred thousands digit of 102459?
1
What is the units digit of 1228?
8
What is the tens digit of 39908?
0
What is the hundreds digit of 22975?
9
What is the hundreds digit of 4924?
9
What is the ten thousands digit of 37113?
3
What is the hundreds digit of 720?
7
What is the thousands digit of 13022?
3
What is the hundreds digit of 1208?
2
What is the ten thousands digit of 54065?
5
What is the thousands digit of 11345?
1
What is the tens digit of 98?
9
What is the ten thousands digit of 19134?
1
What is the thousands digit of 19249?
9
What is the thousands digit of 3847?
3
What is the units digit of 49138?
8
What is the tens digit of 123975?
7
What is the tens digit of 1283?
8
What is the units digit of 46277?
7
What is the hundreds digit of 197650?
6
What is the ten thousands digit of 25600?
2
What is the hundreds digit of 772?
7
What is the thousands digit of 1085?
1
What is the hundreds digit of 3971?
9
What is the units digit of 862?
2
What is the hundreds digit of 1178?
1
What is the ten thousands digit of 33873?
3
What is the tens digit of 27382?
8
What is the tens digit of 272?
7
What is the thousands digit of 11400?
1
What is the units digit of 1074?
4
What is the tens digit of 67596?
9
What is the units digit of 1559?
9
What is the thousands digit of 14718?
4
What is the units digit of 25393?
3
What is the hundreds digit of 3177?
1
What is the tens digit of 586?
8
What is the units digit of 1115?
5
What is the units digit of 5705?
5
What is the thousands digit of 6797?
6
What is the thousands d
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.